LMFDB - Embedded newform 342.2.w.a.139.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [342,2,Mod(43,342)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(342, base_ring=CyclotomicField(18))

chi = DirichletCharacter(H, H._module([12, 16]))

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

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

chi := DirichletCharacter("342.43");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 342 = 2 \cdot 3^{2} \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	342.w (of order $9$, degree $6$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$2.73088374913$
Analytic rank:	$0$
Dimension:	$54$
Relative dimension:	$9$ over $\Q(\zeta_{9})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label			139.1
Character	$\chi$	$=$	342.139
Dual form			342.2.w.a.187.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.939693 + 0.342020i) q^{2} +(-1.65424 - 0.513314i) q^{3} +(0.766044 + 0.642788i) q^{4} +(-1.17751 - 0.428579i) q^{5} +(-1.37891 - 1.04814i) q^{6} +2.38962 q^{7} +(0.500000 + 0.866025i) q^{8} +(2.47302 + 1.69829i) q^{9} +O(q^{10})$	\(q+(0.939693 + 0.342020i) q^{2} +(-1.65424 - 0.513314i) q^{3} +(0.766044 + 0.642788i) q^{4} +(-1.17751 - 0.428579i) q^{5} +(-1.37891 - 1.04814i) q^{6} +2.38962 q^{7} +(0.500000 + 0.866025i) q^{8} +(2.47302 + 1.69829i) q^{9} +(-0.959915 - 0.805465i) q^{10} +(3.27716 - 5.67621i) q^{11} +(-0.937270 - 1.45655i) q^{12} +(-0.330390 + 1.87374i) q^{13} +(2.24551 + 0.817299i) q^{14} +(1.72789 + 1.31340i) q^{15} +(0.173648 + 0.984808i) q^{16} +(3.25804 - 2.73382i) q^{17} +(1.74303 + 2.44169i) q^{18} +(1.18666 + 4.19426i) q^{19} +(-0.626540 - 1.08520i) q^{20} +(-3.95301 - 1.22663i) q^{21} +(5.02090 - 4.21304i) q^{22} +(5.89669 + 4.94791i) q^{23} +(-0.382577 - 1.68927i) q^{24} +(-2.62737 - 2.20463i) q^{25} +(-0.951321 + 1.64774i) q^{26} +(-3.21921 - 4.07881i) q^{27} +(1.83056 + 1.53602i) q^{28} +(1.53888 - 8.72741i) q^{29} +(1.17447 + 1.82517i) q^{30} +(-0.610532 - 1.05747i) q^{31} +(-0.173648 + 0.984808i) q^{32} +(-8.33488 + 7.70760i) q^{33} +(3.99658 - 1.45464i) q^{34} +(-2.81381 - 1.02414i) q^{35} +(0.802804 + 2.89059i) q^{36} -1.76047 q^{37} +(-0.319425 + 4.34718i) q^{38} +(1.50836 - 2.93002i) q^{39} +(-0.217595 - 1.23404i) q^{40} +(-9.39844 + 7.88623i) q^{41} +(-3.29508 - 2.50466i) q^{42} +(-2.76378 + 2.31909i) q^{43} +(6.15905 - 2.24171i) q^{44} +(-2.18416 - 3.05964i) q^{45} +(3.84879 + 6.66630i) q^{46} +(-1.35947 + 7.70996i) q^{47} +(0.218260 - 1.71824i) q^{48} -1.28970 q^{49} +(-1.71489 - 2.97028i) q^{50} +(-6.79289 + 2.85000i) q^{51} +(-1.45751 + 1.22299i) q^{52} +(1.16888 - 6.62904i) q^{53} +(-1.63003 - 4.93386i) q^{54} +(-6.29159 + 5.27927i) q^{55} +(1.19481 + 2.06947i) q^{56} +(0.189949 - 7.54744i) q^{57} +(4.43102 - 7.67475i) q^{58} +(0.784314 + 4.44806i) q^{59} +(0.479400 + 2.11679i) q^{60} +(3.35232 - 1.22014i) q^{61} +(-0.212036 - 1.20251i) q^{62} +(5.90958 + 4.05827i) q^{63} +(-0.500000 + 0.866025i) q^{64} +(1.19208 - 2.06475i) q^{65} +(-10.4684 + 4.39207i) q^{66} +(-9.14376 + 3.32806i) q^{67} +4.25307 q^{68} +(-7.21470 - 11.2119i) q^{69} +(-2.29384 - 1.92476i) q^{70} +(-1.68512 - 9.55676i) q^{71} +(-0.234251 + 2.99084i) q^{72} +(1.36776 + 0.497825i) q^{73} +(-1.65430 - 0.602115i) q^{74} +(3.21464 + 4.99564i) q^{75} +(-1.78698 + 3.97576i) q^{76} +(7.83118 - 13.5640i) q^{77} +(2.41952 - 2.23743i) q^{78} +(1.45080 + 8.22790i) q^{79} +(0.217595 - 1.23404i) q^{80} +(3.23164 + 8.39979i) q^{81} +(-11.5289 + 4.19618i) q^{82} +4.78891 q^{83} +(-2.23972 - 3.48059i) q^{84} +(-5.00804 + 1.82278i) q^{85} +(-3.39028 + 1.23396i) q^{86} +(-7.02557 + 13.6473i) q^{87} +6.55432 q^{88} +(-11.0942 + 4.03795i) q^{89} +(-1.00598 - 3.62214i) q^{90} +(-0.789508 + 4.47752i) q^{91} +(1.33667 + 7.58063i) q^{92} +(0.467151 + 2.06271i) q^{93} +(-3.91445 + 6.78003i) q^{94} +(0.400265 - 5.44737i) q^{95} +(0.792771 - 1.53997i) q^{96} +(9.86949 + 3.59220i) q^{97} +(-1.21193 - 0.441105i) q^{98} +(17.7443 - 8.47181i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 54 q - 24 q^{7} + 27 q^{8}+O(q^{10}) $ 54 * q - 24 * q^7 + 27 * q^8	$ 54 q - 24 q^{7} + 27 q^{8} - 3 q^{13} + 3 q^{14} + 9 q^{17} + 6 q^{18} + 15 q^{19} + 3 q^{22} - 12 q^{23} - 6 q^{25} - 27 q^{27} - 3 q^{28} + 9 q^{29} - 57 q^{33} + 18 q^{34} - 18 q^{35} - 6 q^{37} - 3 q^{38} - 6 q^{39} - 3 q^{41} + 6 q^{43} + 6 q^{44} + 54 q^{45} - 18 q^{47} + 6 q^{49} - 3 q^{50} - 15 q^{51} - 3 q^{52} - 24 q^{53} - 54 q^{54} - 36 q^{55} - 12 q^{56} + 12 q^{57} + 18 q^{58} + 69 q^{59} - 27 q^{60} + 84 q^{61} - 15 q^{62} + 39 q^{63} - 27 q^{64} + 24 q^{65} + 21 q^{66} - 30 q^{67} - 6 q^{68} + 42 q^{69} + 18 q^{70} - 60 q^{71} - 45 q^{73} + 3 q^{74} - 9 q^{78} - 18 q^{79} - 36 q^{81} + 3 q^{82} - 24 q^{83} - 21 q^{84} - 72 q^{85} + 3 q^{86} + 66 q^{87} + 9 q^{89} - 15 q^{91} + 6 q^{92} - 3 q^{93} + 6 q^{94} - 30 q^{95} - 78 q^{97} + 12 q^{98} - 51 q^{99}+O(q^{100}) $ 54 * q - 24 * q^7 + 27 * q^8 - 3 * q^13 + 3 * q^14 + 9 * q^17 + 6 * q^18 + 15 * q^19 + 3 * q^22 - 12 * q^23 - 6 * q^25 - 27 * q^27 - 3 * q^28 + 9 * q^29 - 57 * q^33 + 18 * q^34 - 18 * q^35 - 6 * q^37 - 3 * q^38 - 6 * q^39 - 3 * q^41 + 6 * q^43 + 6 * q^44 + 54 * q^45 - 18 * q^47 + 6 * q^49 - 3 * q^50 - 15 * q^51 - 3 * q^52 - 24 * q^53 - 54 * q^54 - 36 * q^55 - 12 * q^56 + 12 * q^57 + 18 * q^58 + 69 * q^59 - 27 * q^60 + 84 * q^61 - 15 * q^62 + 39 * q^63 - 27 * q^64 + 24 * q^65 + 21 * q^66 - 30 * q^67 - 6 * q^68 + 42 * q^69 + 18 * q^70 - 60 * q^71 - 45 * q^73 + 3 * q^74 - 9 * q^78 - 18 * q^79 - 36 * q^81 + 3 * q^82 - 24 * q^83 - 21 * q^84 - 72 * q^85 + 3 * q^86 + 66 * q^87 + 9 * q^89 - 15 * q^91 + 6 * q^92 - 3 * q^93 + 6 * q^94 - 30 * q^95 - 78 * q^97 + 12 * q^98 - 51 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/342\mathbb{Z}\right)^\times$.

$n$	$191$	$325$
$\chi(n)$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{7}{9}\right)$

Coefficient data

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

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

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

$2$	0.939693	+	0.342020i	0.664463	+	0.241845i
$2$	0.939693	+	0.342020i	0.664463	+	0.241845i
$3$	−1.65424	−	0.513314i	−0.955076	−	0.296362i
$3$	−1.65424	−	0.513314i	−0.955076	−	0.296362i
$4$	0.766044	+	0.642788i	0.383022	+	0.321394i
$5$	−1.17751	−	0.428579i	−0.526599	−	0.191666i	0.0650203	−	0.997884i	$-0.479289\pi$
$5$	−1.17751	−	0.428579i	−0.526599	−	0.191666i	−0.591619	+	0.806218i	$0.701511\pi$
$6$	−1.37891	−	1.04814i	−0.562939	−	0.427902i
$7$	2.38962			0.903192			0.451596	−	0.892222i	$-0.350855\pi$
$7$	2.38962			0.903192			0.451596	+	0.892222i	$0.350855\pi$
$8$	0.500000	+	0.866025i	0.176777	+	0.306186i
$9$	2.47302	+	1.69829i	0.824339	+	0.566096i
$10$	−0.959915	−	0.805465i	−0.303552	−	0.254710i
$11$	3.27716	−	5.67621i	0.988101	−	1.71144i	0.360850	−	0.932624i	$-0.382487\pi$
$11$	3.27716	−	5.67621i	0.988101	−	1.71144i	0.627251	−	0.778817i	$-0.284180\pi$
$12$	−0.937270	−	1.45655i	−0.270566	−	0.420469i
$13$	−0.330390	+	1.87374i	−0.0916338	+	0.519681i	0.904093	+	0.427335i	$0.140548\pi$
$13$	−0.330390	+	1.87374i	−0.0916338	+	0.519681i	−0.995727	+	0.0923458i	$0.970563\pi$
$14$	2.24551	+	0.817299i	0.600138	+	0.218432i
$15$	1.72789	+	1.31340i	0.446139	+	0.339120i
$16$	0.173648	+	0.984808i	0.0434120	+	0.246202i
$17$	3.25804	−	2.73382i	0.790192	−	0.663050i	−0.155601	−	0.987820i	$-0.549731\pi$
$17$	3.25804	−	2.73382i	0.790192	−	0.663050i	0.945793	+	0.324770i	$0.105287\pi$
$18$	1.74303	+	2.44169i	0.410836	+	0.575512i
$19$	1.18666	+	4.19426i	0.272239	+	0.962230i
$19$	1.18666	+	4.19426i	0.272239	+	0.962230i
$20$	−0.626540	−	1.08520i	−0.140099	−	0.242658i
$21$	−3.95301	−	1.22663i	−0.862617	−	0.267672i
$22$	5.02090	−	4.21304i	1.07046	−	0.898222i
$23$	5.89669	+	4.94791i	1.22954	+	1.03171i	0.998269	+	0.0588217i	$0.0187343\pi$
$23$	5.89669	+	4.94791i	1.22954	+	1.03171i	0.231276	+	0.972888i	$0.425710\pi$
$24$	−0.382577	−	1.68927i	−0.0780932	−	0.344821i
$25$	−2.62737	−	2.20463i	−0.525474	−	0.440925i
$26$	−0.951321	+	1.64774i	−0.186569	+	0.323148i
$27$	−3.21921	−	4.07881i	−0.619537	−	0.784967i
$28$	1.83056	+	1.53602i	0.345943	+	0.290280i
$29$	1.53888	−	8.72741i	0.285762	−	1.62064i	−0.416787	−	0.909004i	$-0.636844\pi$
$29$	1.53888	−	8.72741i	0.285762	−	1.62064i	0.702550	−	0.711635i	$-0.252045\pi$
$30$	1.17447	+	1.82517i	0.214429	+	0.333229i
$31$	−0.610532	−	1.05747i	−0.109655	−	0.189928i	0.805976	−	0.591949i	$-0.201641\pi$
$31$	−0.610532	−	1.05747i	−0.109655	−	0.189928i	−0.915630	+	0.402021i	$0.868308\pi$
$32$	−0.173648	+	0.984808i	−0.0306970	+	0.174091i
$33$	−8.33488	+	7.70760i	−1.45092	+	1.34172i
$34$	3.99658	−	1.45464i	0.685408	−	0.249468i
$35$	−2.81381	−	1.02414i	−0.475620	−	0.173112i
$36$	0.802804	+	2.89059i	0.133801	+	0.481765i
$37$	−1.76047			−0.289419			−0.144710	−	0.989474i	$-0.546225\pi$
$37$	−1.76047			−0.289419			−0.144710	+	0.989474i	$0.546225\pi$
$38$	−0.319425	+	4.34718i	−0.0518176	+	0.705206i
$39$	1.50836	−	2.93002i	0.241531	−	0.469178i
$40$	−0.217595	−	1.23404i	−0.0344048	−	0.195119i
$41$	−9.39844	+	7.88623i	−1.46779	+	1.23162i	−0.549633	+	0.835406i	$0.685232\pi$
$41$	−9.39844	+	7.88623i	−1.46779	+	1.23162i	−0.918157	+	0.396216i	$0.870323\pi$
$42$	−3.29508	−	2.50466i	−0.508442	−	0.386477i
$43$	−2.76378	+	2.31909i	−0.421473	+	0.353657i	−0.828723	−	0.559659i	$-0.810932\pi$
$43$	−2.76378	+	2.31909i	−0.421473	+	0.353657i	0.407250	+	0.913317i	$0.366488\pi$
$44$	6.15905	−	2.24171i	0.928511	−	0.337950i
$45$	−2.18416	−	3.05964i	−0.325595	−	0.456103i
$46$	3.84879	+	6.66630i	0.567473	+	0.982892i
$47$	−1.35947	+	7.70996i	−0.198300	+	1.12461i	0.709341	+	0.704865i	$0.248993\pi$
$47$	−1.35947	+	7.70996i	−0.198300	+	1.12461i	−0.907641	+	0.419748i	$0.862118\pi$
$48$	0.218260	−	1.71824i	0.0315030	−	0.248007i
$49$	−1.28970			−0.184243
$50$	−1.71489	−	2.97028i	−0.242523	−	0.420062i
$51$	−6.79289	+	2.85000i	−0.951195	+	0.399080i
$52$	−1.45751	+	1.22299i	−0.202120	+	0.169599i
$53$	1.16888	−	6.62904i	0.160558	−	0.910569i	−0.792969	−	0.609262i	$-0.791466\pi$
$53$	1.16888	−	6.62904i	0.160558	−	0.910569i	0.953527	−	0.301307i	$-0.0974229\pi$
$54$	−1.63003	−	4.93386i	−0.221820	−	0.671414i
$55$	−6.29159	+	5.27927i	−0.848358	+	0.711857i
$56$	1.19481	+	2.06947i	0.159663	+	0.276545i
$57$	0.189949	−	7.54744i	0.0251594	−	0.999683i
$58$	4.43102	−	7.67475i	0.581822	−	1.00774i
$59$	0.784314	+	4.44806i	0.102109	+	0.579089i	0.992336	+	0.123571i	$0.0394347\pi$
$59$	0.784314	+	4.44806i	0.102109	+	0.579089i	−0.890227	+	0.455518i	$0.849454\pi$
$60$	0.479400	+	2.11679i	0.0618903	+	0.273277i
$61$	3.35232	−	1.22014i	0.429220	−	0.156223i	−0.118371	−	0.992969i	$-0.537767\pi$
$61$	3.35232	−	1.22014i	0.429220	−	0.156223i	0.547591	+	0.836746i	$0.315545\pi$
$62$	−0.212036	−	1.20251i	−0.0269285	−	0.152719i
$63$	5.90958	+	4.05827i	0.744537	+	0.511294i
$64$	−0.500000	+	0.866025i	−0.0625000	+	0.108253i
$65$	1.19208	−	2.06475i	0.147860	−	0.256100i
$66$	−10.4684	+	4.39207i	−1.28857	+	0.540627i
$67$	−9.14376	+	3.32806i	−1.11709	+	0.406587i	−0.833589	−	0.552386i	$-0.813718\pi$
$67$	−9.14376	+	3.32806i	−1.11709	+	0.406587i	−0.283499	+	0.958972i	$0.591495\pi$
$68$	4.25307			0.515761
$69$	−7.21470	−	11.2119i	−0.868548	−	1.34975i
$70$	−2.29384	−	1.92476i	−0.274166	−	0.230052i
$71$	−1.68512	−	9.55676i	−0.199986	−	1.13418i	−0.905136	−	0.425121i	$-0.860232\pi$
$71$	−1.68512	−	9.55676i	−0.199986	−	1.13418i	0.705150	−	0.709058i	$-0.250880\pi$
$72$	−0.234251	+	2.99084i	−0.0276068	+	0.352474i
$73$	1.36776	+	0.497825i	0.160085	+	0.0582660i	0.420819	−	0.907144i	$-0.361743\pi$
$73$	1.36776	+	0.497825i	0.160085	+	0.0582660i	−0.260735	+	0.965410i	$0.583965\pi$
$74$	−1.65430	−	0.602115i	−0.192308	−	0.0699945i
$75$	3.21464	+	4.99564i	0.371194	+	0.576847i
$76$	−1.78698	+	3.97576i	−0.204981	+	0.456051i
$77$	7.83118	−	13.5640i	0.892445	−	1.54576i
$78$	2.41952	−	2.23743i	0.273957	−	0.253339i
$79$	1.45080	+	8.22790i	0.163228	+	0.925711i	0.950873	+	0.309582i	$0.100189\pi$
$79$	1.45080	+	8.22790i	0.163228	+	0.925711i	−0.787645	+	0.616129i	$0.788700\pi$
$80$	0.217595	−	1.23404i	0.0243279	−	0.137970i
$81$	3.23164	+	8.39979i	0.359071	+	0.933310i
$82$	−11.5289	+	4.19618i	−1.27315	+	0.463390i
$83$	4.78891			0.525651			0.262826	−	0.964843i	$-0.415346\pi$
$83$	4.78891			0.525651			0.262826	+	0.964843i	$0.415346\pi$
$84$	−2.23972	−	3.48059i	−0.244374	−	0.379764i
$85$	−5.00804	+	1.82278i	−0.543198	+	0.197708i
$86$	−3.39028	+	1.23396i	−0.365583	+	0.133061i
$87$	−7.02557	+	13.6473i	−0.753220	+	1.46314i
$88$	6.55432			0.698693
$89$	−11.0942	+	4.03795i	−1.17598	+	0.428021i	−0.854780	−	0.518990i	$-0.826308\pi$
$89$	−11.0942	+	4.03795i	−1.17598	+	0.428021i	−0.321199	+	0.947012i	$0.604086\pi$
$90$	−1.00598	−	3.62214i	−0.106039	−	0.381807i
$91$	−0.789508	+	4.47752i	−0.0827630	+	0.469372i
$92$	1.33667	+	7.58063i	0.139358	+	0.790336i
$93$	0.467151	+	2.06271i	0.0484413	+	0.213893i
$94$	−3.91445	+	6.78003i	−0.403745	+	0.699306i
$95$	0.400265	−	5.44737i	0.0410664	−	0.558888i
$96$	0.792771	−	1.53997i	0.0809118	−	0.157173i
$97$	9.86949	+	3.59220i	1.00209	+	0.364733i	0.790392	−	0.612602i	$-0.209877\pi$
$97$	9.86949	+	3.59220i	1.00209	+	0.364733i	0.211703	+	0.977334i	$0.432099\pi$
$98$	−1.21193	−	0.441105i	−0.122423	−	0.0445583i
$99$	17.7443	−	8.47181i	1.78337	−	0.851448i
$100$	−0.595577	−	3.37768i	−0.0595577	−	0.337768i
$101$	−13.6408	−	11.4460i	−1.35731	−	1.13892i	−0.976803	−	0.214141i	$-0.931305\pi$
$101$	−13.6408	−	11.4460i	−1.35731	−	1.13892i	−0.380507	−	0.924778i	$-0.624251\pi$
$102$	−7.35799	+	0.354818i	−0.728550	+	0.0351322i
$103$	15.4724			1.52454			0.762270	−	0.647259i	$-0.224085\pi$
$103$	15.4724			1.52454			0.762270	+	0.647259i	$0.224085\pi$
$104$	−1.78790	+	0.650742i	−0.175318	+	0.0638105i
$105$	4.12900	+	3.13854i	0.402950	+	0.306290i
$106$	3.36565	−	5.82948i	0.326901	−	0.566209i
$107$	2.31969	−	4.01782i	0.224253	−	0.388417i	−0.731842	−	0.681474i	$-0.761339\pi$
$107$	2.31969	−	4.01782i	0.224253	−	0.388417i	0.956095	+	0.293057i	$0.0946726\pi$
$108$	0.155749	−	5.19382i	0.0149870	−	0.499775i
$109$	1.25835	+	7.13643i	0.120528	+	0.683546i	0.983864	+	0.178917i	$0.0572595\pi$
$109$	1.25835	+	7.13643i	0.120528	+	0.683546i	−0.863336	+	0.504629i	$0.831629\pi$
$110$	−7.71778	+	2.80904i	−0.735862	+	0.267832i
$111$	2.91224	+	0.903672i	0.276417	+	0.0857727i
$112$	0.414954	+	2.35332i	0.0392094	+	0.222368i
$113$	−1.90204	+	3.29443i	−0.178929	+	0.309914i	−0.941514	−	0.336974i	$-0.890597\pi$
$113$	−1.90204	+	3.29443i	−0.178929	+	0.309914i	0.762585	+	0.646888i	$0.223930\pi$
$114$	2.75987	−	7.02731i	0.258486	−	0.658168i
$115$	−4.82284	−	8.35341i	−0.449732	−	0.778959i
$116$	6.78872	−	5.69641i	0.630317	−	0.528898i
$117$	−3.99921	+	4.07269i	−0.369727	+	0.376520i
$118$	−0.784314	+	4.44806i	−0.0722019	+	0.409478i
$119$	7.78549	−	6.53281i	0.713695	−	0.598861i
$120$	−0.273497	+	2.15310i	−0.0249667	+	0.196550i
$121$	−15.9796	−	27.6774i	−1.45269	−	2.51613i
$122$	3.56746			0.322983
$123$	19.5954	−	8.22137i	1.76686	−	0.741296i
$124$	0.212036	−	1.20251i	0.0190414	−	0.107989i
$125$	5.28160	+	9.14800i	0.472401	+	0.818222i
$126$	4.16518	+	5.83472i	0.371064	+	0.519798i
$127$	1.60666	−	0.584778i	0.142568	−	0.0518906i	−0.269750	−	0.962930i	$-0.586941\pi$
$127$	1.60666	−	0.584778i	0.142568	−	0.0518906i	0.412319	+	0.911040i	$0.364719\pi$
$128$	−0.766044	+	0.642788i	−0.0677094	+	0.0568149i
$129$	5.76237	−	2.41764i	0.507349	−	0.212861i
$130$	1.82638	−	1.53251i	0.160184	−	0.134410i
$131$	−1.36252	−	7.72723i	−0.119044	−	0.675131i	−0.984668	−	0.174437i	$-0.944189\pi$
$131$	−1.36252	−	7.72723i	−0.119044	−	0.675131i	0.865624	−	0.500694i	$-0.166922\pi$
$132$	−11.3392	+	0.546803i	−0.986954	+	0.0475931i
$133$	2.83567	+	10.0227i	0.245884	+	0.869079i
$134$	−9.73059			−0.840595
$135$	2.04256	+	6.18253i	0.175796	+	0.532107i
$136$	3.99658	+	1.45464i	0.342704	+	0.124734i
$137$	−2.44656	+	0.890473i	−0.209023	+	0.0760783i	−0.444410	−	0.895824i	$-0.646587\pi$
$137$	−2.44656	+	0.890473i	−0.209023	+	0.0760783i	0.235387	+	0.971902i	$0.424364\pi$
$138$	−2.94492	−	13.0033i	−0.250688	−	1.10691i
$139$	−1.14258	+	6.47989i	−0.0969123	+	0.549617i	0.897232	+	0.441559i	$0.145574\pi$
$139$	−1.14258	+	6.47989i	−0.0969123	+	0.549617i	−0.994145	+	0.108058i	$0.965537\pi$
$140$	−1.49719	−	2.59322i	−0.126536	−	0.219167i
$141$	6.20652	−	12.0563i	0.522684	−	1.01532i
$142$	1.68512	−	9.55676i	0.141412	−	0.801986i
$143$	9.55298	+	8.01590i	0.798860	+	0.670323i
$144$	−1.24305	+	2.73035i	−0.103588	+	0.227529i
$145$	−5.55243	+	9.61709i	−0.461104	+	0.798655i
$146$	1.11501	+	0.935605i	0.0922789	+	0.0774312i
$147$	2.13348	+	0.662023i	0.175966	+	0.0546027i
$148$	−1.34860	−	1.13161i	−0.110854	−	0.0930175i
$149$	−13.1626	+	11.0447i	−1.07832	+	0.904820i	−0.995780	−	0.0917681i	$-0.970748\pi$
$149$	−13.1626	+	11.0447i	−1.07832	+	0.904820i	−0.0825416	+	0.996588i	$0.526304\pi$
$150$	1.31216	+	5.79384i	0.107137	+	0.473065i
$151$	5.45366	+	9.44602i	0.443813	+	0.768706i	0.997969	−	0.0637066i	$-0.0202922\pi$
$151$	5.45366	+	9.44602i	0.443813	+	0.768706i	−0.554156	+	0.832413i	$0.686959\pi$
$152$	−3.03901	+	3.12481i	−0.246496	+	0.253456i
$153$	12.7000	−	1.22770i	1.02674	−	0.0992536i
$154$	11.9981	−	10.0676i	0.966831	−	0.811268i
$155$	0.265698	+	1.50685i	0.0213414	+	0.121033i
$156$	3.03885	−	1.27497i	0.243303	−	0.102079i
$157$	−1.68199	−	0.612195i	−0.134237	−	0.0488585i	0.274028	−	0.961722i	$-0.411644\pi$
$157$	−1.68199	−	0.612195i	−0.134237	−	0.0488585i	−0.408265	+	0.912863i	$0.633866\pi$
$158$	−1.45080	+	8.22790i	−0.115420	+	0.654577i
$159$	−5.33638	+	10.3660i	−0.423203	+	0.822079i
$160$	0.626540	−	1.08520i	0.0495324	−	0.0857926i
$161$	14.0909	+	11.8236i	1.11051	+	0.931833i
$162$	0.163849	+	8.99851i	0.0128732	+	0.706990i
$163$	4.18805	+	7.25391i	0.328033	+	0.568170i	0.982121	−	0.188248i	$-0.0602809\pi$
$163$	4.18805	+	7.25391i	0.328033	+	0.568170i	−0.654088	+	0.756418i	$0.726948\pi$
$164$	−12.2688			−0.958032
$165$	13.1177	−	5.50362i	1.02121	−	0.428457i
$166$	4.50010	+	1.63790i	0.349276	+	0.127126i
$167$	−3.95879	−	3.32182i	−0.306340	−	0.257050i	0.476637	−	0.879100i	$-0.341856\pi$
$167$	−3.95879	−	3.32182i	−0.306340	−	0.257050i	−0.782978	+	0.622050i	$0.786300\pi$
$168$	−0.914215	−	4.03672i	−0.0705332	−	0.311440i
$169$	8.81427	+	3.20813i	0.678021	+	0.246779i
$170$	−5.32944			−0.408750
$171$	−4.18843	+	12.3878i	−0.320297	+	0.947317i
$172$	−3.60786			−0.275097
$173$	−11.8542	−	4.31458i	−0.901260	−	0.328032i	−0.150502	−	0.988610i	$-0.548089\pi$
$173$	−11.8542	−	4.31458i	−0.901260	−	0.328032i	−0.750758	+	0.660578i	$0.770311\pi$
$174$	−11.2695	+	10.4214i	−0.854341	+	0.790043i
$175$	−6.27842	−	5.26822i	−0.474604	−	0.398240i
$176$	6.15905	+	2.24171i	0.464256	+	0.168975i
$177$	0.985809	−	7.76076i	0.0740980	−	0.583335i
$178$	−11.8062			−0.884909
$179$	−1.83496	−	3.17825i	−0.137152	−	0.237554i	0.789266	−	0.614052i	$-0.210461\pi$
$179$	−1.83496	−	3.17825i	−0.137152	−	0.237554i	−0.926417	+	0.376498i	$0.877128\pi$
$180$	0.293536	−	3.74776i	0.0218788	−	0.279342i
$181$	−9.03911	−	7.58472i	−0.671872	−	0.563768i	0.241747	−	0.970339i	$-0.422280\pi$
$181$	−9.03911	−	7.58472i	−0.671872	−	0.563768i	−0.913619	+	0.406572i	$0.866724\pi$
$182$	−2.27330	+	3.93747i	−0.168508	+	0.291865i
$183$	−6.17185	+	0.297620i	−0.456236	+	0.0220007i
$184$	−1.33667	+	7.58063i	−0.0985406	+	0.558852i
$185$	2.07297	+	0.754499i	0.152408	+	0.0554719i
$186$	−0.266509	+	2.09809i	−0.0195414	+	0.153839i
$187$	−4.84062	−	27.4525i	−0.353981	−	2.00753i
$188$	−5.99728	+	5.03232i	−0.437397	+	0.367020i
$189$	−7.69270	−	9.74681i	−0.559562	−	0.708976i
$190$	2.23924	−	4.98195i	0.162451	−	0.361429i
$191$	−2.91116	−	5.04227i	−0.210644	−	0.364846i	0.741272	−	0.671204i	$-0.234223\pi$
$191$	−2.91116	−	5.04227i	−0.210644	−	0.364846i	−0.951916	+	0.306358i	$0.900889\pi$
$192$	1.27166	−	1.17596i	0.0917743	−	0.0848674i
$193$	−2.16262	+	1.81465i	−0.155668	+	0.130621i	−0.717295	−	0.696769i	$-0.754620\pi$
$193$	−2.16262	+	1.81465i	−0.155668	+	0.130621i	0.561627	+	0.827391i	$0.310176\pi$
$194$	8.04568	+	6.75113i	0.577646	+	0.484703i
$195$	−3.03185	+	2.80367i	−0.217115	+	0.200775i
$196$	−0.987971	−	0.829006i	−0.0705693	−	0.0592147i
$197$	−6.43420	+	11.1444i	−0.458418	+	0.794003i	−0.998878	−	0.0473667i	$-0.984917\pi$
$197$	−6.43420	+	11.1444i	−0.458418	+	0.794003i	0.540460	+	0.841370i	$0.318250\pi$
$198$	19.5717	−	1.89198i	1.39090	−	0.134457i
$199$	−12.3524	−	10.3649i	−0.875636	−	0.734746i	0.0896412	−	0.995974i	$-0.471428\pi$
$199$	−12.3524	−	10.3649i	−0.875636	−	0.734746i	−0.965277	+	0.261228i	$0.915872\pi$
$200$	0.595577	−	3.37768i	0.0421136	−	0.238838i
$201$	16.8343	−	0.811787i	1.18740	−	0.0572590i
$202$	−8.90340	−	15.4211i	−0.626441	−	1.08503i
$203$	3.67734	−	20.8552i	0.258098	−	1.46375i
$204$	−7.03560	−	2.18316i	−0.492591	−	0.152852i
$205$	14.4466	−	5.25815i	1.00900	−	0.367245i
$206$	14.5393	+	5.29187i	1.01300	+	0.368702i
$207$	6.17964	+	22.2505i	0.429515	+	1.54652i
$208$	−1.90264			−0.131925
$209$	27.6964	+	7.00953i	1.91580	+	0.484859i
$210$	2.80655	+	4.36147i	0.193670	+	0.300970i
$211$	1.50188	+	8.51760i	0.103394	+	0.586376i	0.991850	+	0.127414i	$0.0406676\pi$
$211$	1.50188	+	8.51760i	0.103394	+	0.586376i	−0.888456	+	0.458962i	$0.848221\pi$
$212$	5.15648	−	4.32680i	0.354148	−	0.297166i
$213$	−2.11803	+	16.6742i	−0.145125	+	1.14250i
$214$	3.55397	−	2.98213i	0.242944	−	0.203854i
$215$	4.24829	−	1.54625i	0.289731	−	0.105454i
$216$	1.92275	−	4.82732i	0.130826	−	0.328458i
$217$	−1.45894	−	2.52696i	−0.0990394	−	0.171541i
$218$	−1.25835	+	7.13643i	−0.0852259	+	0.483340i
$219$	−2.00707	−	1.52561i	−0.135625	−	0.103091i
$220$	−8.21309			−0.553727
$221$	4.04604	+	7.00795i	0.272166	+	0.471405i
$222$	2.42753	+	1.84522i	0.162925	+	0.123843i
$223$	−1.24970	+	1.04862i	−0.0836862	+	0.0702210i	−0.683671	−	0.729790i	$-0.739618\pi$
$223$	−1.24970	+	1.04862i	−0.0836862	+	0.0702210i	0.599985	+	0.800011i	$0.295173\pi$
$224$	−0.414954	+	2.35332i	−0.0277253	+	0.157238i
$225$	−2.75345	−	9.91411i	−0.183563	−	0.660941i
$226$	−2.91409	+	2.44521i	−0.193843	+	0.162653i
$227$	10.3520	+	17.9302i	0.687088	+	1.19007i	0.972776	+	0.231748i	$0.0744446\pi$
$227$	10.3520	+	17.9302i	0.687088	+	1.19007i	−0.285688	+	0.958323i	$0.592222\pi$
$228$	4.99691	−	5.65958i	0.330929	−	0.374815i
$229$	1.37244	−	2.37713i	0.0906932	−	0.157085i	−0.817110	−	0.576482i	$-0.804425\pi$
$229$	1.37244	−	2.37713i	0.0906932	−	0.157085i	0.907803	+	0.419397i	$0.137758\pi$
$230$	−1.67496	−	9.49915i	−0.110443	−	0.626355i
$231$	−19.9172	+	18.4182i	−1.31046	+	1.21183i
$232$	8.32760	−	3.03100i	0.546733	−	0.198995i
$233$	1.79720	+	10.1924i	0.117738	+	0.667728i	0.985358	+	0.170499i	$0.0545380\pi$
$233$	1.79720	+	10.1924i	0.117738	+	0.667728i	−0.867619	+	0.497229i	$0.834351\pi$
$234$	−5.15097	+	2.45927i	−0.336729	+	0.160767i
$235$	4.90512	−	8.49592i	0.319975	−	0.554213i
$236$	−2.25834	+	3.91156i	−0.147006	+	0.254621i
$237$	1.82352	−	14.3556i	0.118450	−	0.932499i
$238$	9.55032	−	3.47603i	0.619056	−	0.225318i
$239$	12.8638			0.832091			0.416046	−	0.909344i	$-0.363416\pi$
$239$	12.8638			0.832091			0.416046	+	0.909344i	$0.363416\pi$
$240$	−0.993406	+	1.92971i	−0.0641241	+	0.124562i
$241$	−7.06617	−	5.92922i	−0.455172	−	0.381935i	0.386179	−	0.922424i	$-0.373795\pi$
$241$	−7.06617	−	5.92922i	−0.455172	−	0.381935i	−0.841351	+	0.540489i	$0.818239\pi$
$242$	−5.54964	−	31.4736i	−0.356745	−	2.02320i
$243$	−1.03418	−	15.5541i	−0.0663425	−	0.997797i
$244$	3.35232	+	1.22014i	0.214610	+	0.0781116i
$245$	1.51864	+	0.552740i	0.0970224	+	0.0353133i
$246$	21.2255	−	1.02354i	1.35329	−	0.0652585i
$247$	−8.25101	+	0.837748i	−0.524999	+	0.0533046i
$248$	0.610532	−	1.05747i	0.0387688	−	0.0671496i
$249$	−7.92201	−	2.45821i	−0.502037	−	0.155783i
$250$	1.83428	+	10.4027i	0.116010	+	0.657926i
$251$	−1.55859	+	8.83921i	−0.0983774	+	0.557926i	0.895283	+	0.445499i	$0.146974\pi$
$251$	−1.55859	+	8.83921i	−0.0983774	+	0.557926i	−0.993660	+	0.112427i	$0.964138\pi$
$252$	1.91840	+	6.90742i	0.120848	+	0.435126i
$253$	47.4097	−	17.2557i	2.98062	−	1.08486i
$254$	1.70978			0.107281
$255$	9.22016	−	0.444616i	0.577389	−	0.0278429i
$256$	−0.939693	+	0.342020i	−0.0587308	+	0.0213763i
$257$	−15.8275	+	5.76074i	−0.987293	+	0.359345i	−0.784671	−	0.619912i	$-0.787168\pi$
$257$	−15.8275	+	5.76074i	−0.987293	+	0.359345i	−0.202622	+	0.979257i	$0.564946\pi$
$258$	6.24174	−	0.300990i	0.388594	−	0.0187388i
$259$	−4.20685			−0.261401
$260$	2.24038	−	0.815432i	0.138943	−	0.0505710i
$261$	18.6273	−	18.9696i	1.15300	−	1.17419i
$262$	1.36252	−	7.72723i	0.0841767	−	0.477390i
$263$	−1.18482	−	6.71943i	−0.0730590	−	0.414338i	−0.999300	−	0.0374066i	$-0.988090\pi$
$263$	−1.18482	−	6.71943i	−0.0730590	−	0.414338i	0.926241	−	0.376931i	$-0.123021\pi$
$264$	−10.8424	−	3.36442i	−0.667305	−	0.207066i
$265$	−4.21743	+	7.30481i	−0.259075	+	0.448731i
$266$	−0.763305	+	10.3881i	−0.0468013	+	0.636936i
$267$	20.4251	−	0.984944i	1.25000	−	0.0602776i
$268$	−9.14376	−	3.32806i	−0.558544	−	0.203293i
$269$	−14.9377	−	5.43686i	−0.910765	−	0.331491i	−0.156207	−	0.987724i	$-0.549927\pi$
$269$	−14.9377	−	5.43686i	−0.910765	−	0.331491i	−0.754558	+	0.656233i	$0.772149\pi$
$270$	−0.195166	+	6.50827i	−0.0118774	+	0.396081i
$271$	0.443694	+	2.51631i	0.0269525	+	0.152855i	0.995314	−	0.0966969i	$-0.0308278\pi$
$271$	0.443694	+	2.51631i	0.0269525	+	0.152855i	−0.968361	+	0.249552i	$0.919717\pi$
$272$	3.25804	+	2.73382i	0.197548	+	0.165762i
$273$	3.60441	−	7.00163i	0.218149	−	0.423758i
$274$	−2.60357			−0.157287
$275$	−21.1242	+	7.68859i	−1.27384	+	0.463639i
$276$	1.68007	−	13.2263i	0.101128	−	0.796131i
$277$	7.40768	−	12.8305i	0.445084	−	0.770909i	−0.552974	−	0.833199i	$-0.686507\pi$
$277$	7.40768	−	12.8305i	0.445084	−	0.770909i	0.998058	+	0.0622898i	$0.0198403\pi$
$278$	−3.28993	+	5.69832i	−0.197317	+	0.341763i
$279$	0.286036	−	3.65201i	0.0171245	−	0.218640i
$280$	−0.519970	−	2.94890i	−0.0310742	−	0.176230i
$281$	−20.2256	+	7.36151i	−1.20656	+	0.439151i	−0.865508	−	0.500895i	$-0.833004\pi$
$281$	−20.2256	+	7.36151i	−1.20656	+	0.439151i	−0.341049	+	0.940046i	$0.610782\pi$
$282$	9.95572	−	9.20645i	0.592854	−	0.548236i
$283$	−2.33456	−	13.2399i	−0.138775	−	0.787032i	−0.972156	−	0.234334i	$-0.924709\pi$
$283$	−2.33456	−	13.2399i	−0.138775	−	0.787032i	0.833381	−	0.552698i	$-0.186402\pi$
$284$	4.85210	−	8.40408i	0.287919	−	0.498690i
$285$	−3.45834	+	8.80579i	−0.204855	+	0.521610i
$286$	6.23526	+	10.7998i	0.368699	+	0.638605i
$287$	−22.4587	+	18.8451i	−1.32570	+	1.11239i
$288$	−2.10192	+	2.14054i	−0.123857	+	0.126133i
$289$	0.189040	−	1.07210i	0.0111200	−	0.0630647i
$290$	−8.50681	+	7.13806i	−0.499537	+	0.419161i
$291$	−14.4826	−	11.0085i	−0.848983	−	0.645330i
$292$	0.727771	+	1.26054i	0.0425896	+	0.0737674i
$293$	10.6026			0.619409			0.309704	−	0.950833i	$-0.399770\pi$
$293$	10.6026			0.619409			0.309704	+	0.950833i	$0.399770\pi$
$294$	1.77839	+	1.35179i	0.103718	+	0.0788380i
$295$	0.982809	−	5.57378i	0.0572213	−	0.324518i
$296$	−0.880234	−	1.52461i	−0.0511625	−	0.0886161i
$297$	−33.7020	+	4.90600i	−1.95559	+	0.284675i
$298$	−16.1463	+	5.87678i	−0.935331	+	0.340433i
$299$	−11.2193	+	9.41410i	−0.648828	+	0.544431i
$300$	−0.748584	+	5.89321i	−0.0432195	+	0.340245i
$301$	−6.60439	+	5.54174i	−0.380671	+	0.319421i
$302$	1.89404	+	10.7416i	0.108990	+	0.618111i
$303$	16.6898	+	25.9364i	0.958802	+	1.49001i
$304$	−3.92448	+	1.89696i	−0.225084	+	0.108798i
$305$	−4.47031			−0.255969
$306$	12.3540	+	3.19000i	0.706232	+	0.182360i
$307$	−7.52956	−	2.74054i	−0.429735	−	0.156411i	0.118092	−	0.993003i	$-0.462322\pi$
$307$	−7.52956	−	2.74054i	−0.429735	−	0.156411i	−0.547826	+	0.836592i	$0.684545\pi$
$308$	14.7178	−	5.35684i	0.838624	−	0.305234i
$309$	−25.5950	−	7.94219i	−1.45605	−	0.451815i
$310$	−0.265698	+	1.50685i	−0.0150906	+	0.0855831i
$311$	−8.13094	−	14.0832i	−0.461063	−	0.798585i	0.537951	−	0.842976i	$-0.319199\pi$
$311$	−8.13094	−	14.0832i	−0.461063	−	0.798585i	−0.999014	+	0.0443912i	$0.985865\pi$
$312$	3.29165	−	0.158730i	0.186353	−	0.00898634i
$313$	−3.55653	+	20.1701i	−0.201027	+	1.14008i	0.702543	+	0.711641i	$0.252048\pi$
$313$	−3.55653	+	20.1701i	−0.201027	+	1.14008i	−0.903570	+	0.428440i	$0.859063\pi$
$314$	−1.37117	−	1.15055i	−0.0773797	−	0.0649293i
$315$	−5.21931	−	7.31137i	−0.294075	−	0.411949i
$316$	−4.17741	+	7.23549i	−0.234998	+	0.407028i
$317$	3.75520	+	3.15098i	0.210913	+	0.176977i	0.742124	−	0.670263i	$-0.233819\pi$
$317$	3.75520	+	3.15098i	0.210913	+	0.176977i	−0.531211	+	0.847239i	$0.678263\pi$
$318$	−8.55995	+	7.91572i	−0.480018	+	0.443892i
$319$	−44.4954	−	37.3361i	−2.49127	−	2.09042i
$320$	0.959915	−	0.805465i	0.0536609	−	0.0450268i
$321$	−5.89972	+	5.45570i	−0.329290	+	0.304508i
$322$	9.19715	+	15.9299i	0.512537	+	0.887741i
$323$	15.3326	+	10.4210i	0.853127	+	0.579838i
$324$	−2.92370	+	8.51187i	−0.162428	+	0.472882i
$325$	4.99895	−	4.19461i	0.277292	−	0.232675i
$326$	1.45449	+	8.24884i	0.0805569	+	0.456861i
$327$	1.58162	−	12.4513i	0.0874639	−	0.688558i
$328$	−11.5289	−	4.19618i	−0.636577	−	0.231695i
$329$	−3.24863	+	18.4239i	−0.179103	+	1.01574i
$330$	14.2090	−	0.685188i	0.782179	−	0.0377183i
$331$	2.55337	−	4.42257i	0.140346	−	0.243086i	−0.787281	−	0.616594i	$-0.788512\pi$
$331$	2.55337	−	4.42257i	0.140346	−	0.243086i	0.927627	+	0.373508i	$0.121845\pi$
$332$	3.66852	+	3.07825i	0.201336	+	0.168941i
$333$	−4.35367	−	2.98978i	−0.238580	−	0.163839i
$334$	−2.58392	−	4.47548i	−0.141386	−	0.244887i
$335$	12.1932			0.666186
$336$	0.521558	−	4.10595i	0.0284533	−	0.223998i
$337$	20.7260	+	7.54366i	1.12902	+	0.410929i	0.837936	−	0.545769i	$-0.183762\pi$
$337$	20.7260	+	7.54366i	1.12902	+	0.410929i	0.291083	+	0.956698i	$0.405984\pi$
$338$	7.18546	+	6.02932i	0.390838	+	0.327952i
$339$	4.83750	−	4.47343i	0.262737	−	0.242963i
$340$	−5.00804	−	1.82278i	−0.271599	−	0.0988540i
$341$	−8.00325			−0.433400
$342$	−8.17270	+	10.2082i	−0.441929	+	0.551995i
$343$	−19.8093			−1.06960
$344$	−3.39028	−	1.23396i	−0.182792	−	0.0665307i
$345$	3.69022	+	16.2942i	0.198675	+	0.877249i
$346$	−9.66365	−	8.10877i	−0.519521	−	0.435930i
$347$	−23.1657	−	8.43164i	−1.24360	−	0.452634i	−0.365367	−	0.930864i	$-0.619057\pi$
$347$	−23.1657	−	8.43164i	−1.24360	−	0.452634i	−0.878235	+	0.478229i	$0.841279\pi$
$348$	−14.1542	+	5.93849i	−0.758745	+	0.318336i
$349$	3.13355			0.167735			0.0838676	−	0.996477i	$-0.473273\pi$
$349$	3.13355			0.167735			0.0838676	+	0.996477i	$0.473273\pi$
$350$	−4.09795	−	7.09786i	−0.219045	−	0.379396i
$351$	8.70621	−	4.68436i	0.464703	−	0.250032i
$352$	5.02090	+	4.21304i	0.267615	+	0.224556i
$353$	1.42499	−	2.46815i	0.0758445	−	0.131366i	−0.825609	−	0.564243i	$-0.809168\pi$
$353$	1.42499	−	2.46815i	0.0758445	−	0.131366i	0.901453	+	0.432877i	$0.142501\pi$
$354$	3.58070	−	6.95557i	0.190312	−	0.369684i
$355$	−2.11159	+	11.9754i	−0.112071	+	0.635588i
$356$	−11.0942	−	4.03795i	−0.587990	−	0.214011i
$357$	−16.2325	+	6.81043i	−0.859113	+	0.360446i
$358$	−0.637276	−	3.61417i	−0.0336811	−	0.191015i
$359$	2.80534	−	2.35396i	0.148060	−	0.124237i	−0.565749	−	0.824578i	$-0.691413\pi$
$359$	2.80534	−	2.35396i	0.148060	−	0.124237i	0.713809	+	0.700340i	$0.246968\pi$
$360$	1.55764	−	3.42135i	0.0820950	−	0.180321i
$361$	−16.1837	+	9.95434i	−0.851772	+	0.523913i
$362$	−5.89986	−	10.2189i	−0.310090	−	0.537091i
$363$	12.2268	+	53.9876i	0.641742	+	2.83361i
$364$	−3.48290	+	2.92250i	−0.182553	+	0.153180i
$365$	−1.39720	−	1.17239i	−0.0731327	−	0.0613656i
$366$	−5.90143	−	1.83123i	−0.308473	−	0.0957197i
$367$	7.58326	+	6.36311i	0.395843	+	0.332152i	0.818884	−	0.573959i	$-0.194593\pi$
$367$	7.58326	+	6.36311i	0.395843	+	0.332152i	−0.423041	+	0.906110i	$0.639037\pi$
$368$	−3.84879	+	6.66630i	−0.200632	+	0.347505i
$369$	−36.6356	+	3.54153i	−1.90717	+	0.184365i
$370$	1.68990	+	1.41799i	0.0878537	+	0.0737180i
$371$	2.79318	−	15.8409i	0.145015	−	0.822419i
$372$	−0.968024	+	1.88041i	−0.0501897	+	0.0974945i
$373$	7.74064	+	13.4072i	0.400795	+	0.694198i	0.993822	−	0.110985i	$-0.0354005\pi$
$373$	7.74064	+	13.4072i	0.400795	+	0.694198i	−0.593027	+	0.805183i	$0.702067\pi$
$374$	4.84062	−	27.4525i	0.250302	−	1.41954i
$375$	−4.04124	−	17.8441i	−0.208689	−	0.921466i
$376$	−7.35676	+	2.67764i	−0.379396	+	0.138089i
$377$	15.8444	+	5.76690i	0.816030	+	0.297011i
$378$	−3.89517	−	11.7901i	−0.200346	−	0.606416i
$379$	−24.3668			−1.25164			−0.625819	−	0.779968i	$-0.715235\pi$
$379$	−24.3668			−1.25164			−0.625819	+	0.779968i	$0.715235\pi$
$380$	3.80812	−	3.91564i	0.195352	−	0.200868i
$381$	−2.95798	+	0.142640i	−0.151542	+	0.00730768i
$382$	−1.01103	−	5.73386i	−0.0517290	−	0.293370i
$383$	4.15204	−	3.48397i	0.212159	−	0.178023i	−0.530515	−	0.847675i	$-0.678002\pi$
$383$	4.15204	−	3.48397i	0.212159	−	0.178023i	0.742674	+	0.669653i	$0.233557\pi$
$384$	1.59717	−	0.670104i	0.0815054	−	0.0341961i
$385$	−15.0345	+	12.6155i	−0.766231	+	0.642944i
$386$	−2.65284	+	0.965555i	−0.135026	+	0.0491455i
$387$	−10.7734	+	1.04145i	−0.547640	+	0.0529399i
$388$	5.25144	+	9.09577i	0.266602	+	0.461768i
$389$	0.390797	−	2.21632i	0.0198142	−	0.112372i	−0.973297	−	0.229551i	$-0.926274\pi$
$389$	0.390797	−	2.21632i	0.0198142	−	0.112372i	0.993111	+	0.117179i	$0.0373852\pi$
$390$	−3.80792	+	1.59764i	−0.192822	+	0.0808995i
$391$	32.7384			1.65565
$392$	−0.644852	−	1.11692i	−0.0325699	−	0.0564128i
$393$	−1.71256	+	13.4821i	−0.0863872	+	0.680082i
$394$	−9.85777	+	8.27165i	−0.496627	+	0.416720i
$395$	1.81797	−	10.3102i	0.0914720	−	0.518764i
$396$	19.0385	+	4.91604i	0.956721	+	0.247040i
$397$	5.61907	−	4.71496i	0.282013	−	0.236637i	−0.490798	−	0.871273i	$-0.663295\pi$
$397$	5.61907	−	4.71496i	0.282013	−	0.236637i	0.772811	+	0.634637i	$0.218850\pi$
$398$	−8.06243	−	13.9645i	−0.404133	−	0.699979i
$399$	0.453907	−	18.0355i	0.0227238	−	0.902907i
$400$	1.71489	−	2.97028i	0.0857447	−	0.148514i
$401$	−3.69926	−	20.9795i	−0.184732	−	1.04767i	−0.926299	−	0.376789i	$-0.877028\pi$
$401$	−3.69926	−	20.9795i	−0.184732	−	1.04767i	0.741567	−	0.670879i	$-0.234083\pi$
$402$	16.0967	+	4.99484i	0.802832	+	0.249120i
$403$	2.18314	−	0.794598i	0.108750	−	0.0395817i
$404$	−3.09212	−	17.5363i	−0.153839	−	0.872462i
$405$	−0.205315	−	11.2759i	−0.0102022	−	0.560302i
$406$	10.5885	−	18.3398i	0.525497	−	0.910187i
$407$	−5.76933	+	9.99278i	−0.285975	+	0.495324i
$408$	−5.86462	−	4.45782i	−0.290342	−	0.220695i
$409$	30.0155	−	10.9247i	1.48417	−	0.540194i	0.532263	−	0.846579i	$-0.321342\pi$
$409$	30.0155	−	10.9247i	1.48417	−	0.540194i	0.951908	+	0.306385i	$0.0991194\pi$
$410$	15.3738			0.759257
$411$	4.50428	−	0.217206i	0.222180	−	0.0107140i
$412$	11.8525	+	9.94546i	0.583933	+	0.489978i
$413$	1.87421	+	10.6292i	0.0922240	+	0.523029i
$414$	−1.80317	+	23.0222i	−0.0886208	+	1.13148i
$415$	−5.63899	−	2.05243i	−0.276807	−	0.100750i
$416$	−1.78790	−	0.650742i	−0.0876590	−	0.0319053i
$417$	5.21632	−	10.1328i	0.255444	−	0.496205i
$418$	23.6287	+	16.0595i	1.15572	+	0.785497i
$419$	9.13858	−	15.8285i	0.446449	−	0.773272i	−0.551703	−	0.834041i	$-0.686022\pi$
$419$	9.13858	−	15.8285i	0.446449	−	0.773272i	0.998152	+	0.0607686i	$0.0193552\pi$
$420$	1.14559	+	5.05833i	0.0558988	+	0.246821i
$421$	0.711918	+	4.03749i	0.0346968	+	0.196775i	0.997229	−	0.0743919i	$-0.0237016\pi$
$421$	0.711918	+	4.03749i	0.0346968	+	0.196775i	−0.962532	+	0.271167i	$0.912590\pi$
$422$	−1.50188	+	8.51760i	−0.0731105	+	0.414631i
$423$	−16.4557	+	16.7581i	−0.800105	+	0.814806i
$424$	6.32536	−	2.30224i	0.307186	−	0.111807i
$425$	−14.5871			−0.707581
$426$	−7.69320	+	14.9442i	−0.372737	+	0.724048i
$427$	8.01077	−	2.91568i	0.387668	−	0.141100i
$428$	4.35959	−	1.58676i	0.210729	−	0.0766989i
$429$	−11.6882	−	18.1639i	−0.564314	−	0.876961i
$430$	4.52094			0.218019
$431$	23.1160	−	8.41352i	1.11346	−	0.405265i	0.281196	−	0.959650i	$-0.409269\pi$
$431$	23.1160	−	8.41352i	1.11346	−	0.405265i	0.832260	+	0.554385i	$0.187047\pi$
$432$	3.45783	−	3.87858i	0.166365	−	0.186608i
$433$	5.20170	−	29.5003i	0.249978	−	1.41770i	−0.558664	−	0.829394i	$-0.688686\pi$
$433$	5.20170	−	29.5003i	0.249978	−	1.41770i	0.808642	−	0.588301i	$-0.200203\pi$
$434$	−0.506685	−	2.87355i	−0.0243217	−	0.137935i
$435$	14.1216	−	13.0588i	0.677080	−	0.626123i
$436$	−3.62326	+	6.27567i	−0.173523	+	0.300550i
$437$	−13.7554	+	30.6037i	−0.658012	+	1.46398i
$438$	−1.36424	−	2.12006i	−0.0651857	−	0.101301i
$439$	−18.8971	−	6.87800i	−0.901912	−	0.328269i	−0.150893	−	0.988550i	$-0.548215\pi$
$439$	−18.8971	−	6.87800i	−0.901912	−	0.328269i	−0.751019	+	0.660281i	$0.770437\pi$
$440$	−7.71778	−	2.80904i	−0.367931	−	0.133916i
$441$	−3.18946	−	2.19029i	−0.151879	−	0.104299i
$442$	1.40517	+	7.96914i	0.0668373	+	0.379053i
$443$	29.7130	+	24.9322i	1.41171	+	1.18456i	0.955611	+	0.294632i	$0.0951972\pi$
$443$	29.7130	+	24.9322i	1.41171	+	1.18456i	0.456096	+	0.889930i	$0.349247\pi$
$444$	1.65003	+	2.56420i	0.0783071	+	0.121692i
$445$	14.7941			0.701306
$446$	−1.53298	+	0.557961i	−0.0725889	+	0.0264202i
$447$	27.4435	−	11.5141i	1.29803	−	0.544598i
$448$	−1.19481	+	2.06947i	−0.0564495	+	0.0977734i
$449$	8.42915	−	14.5997i	0.397796	−	0.689004i	−0.595657	−	0.803239i	$-0.703108\pi$
$449$	8.42915	−	14.5997i	0.397796	−	0.689004i	0.993454	+	0.114235i	$0.0364417\pi$
$450$	0.803432	−	10.2580i	0.0378741	−	0.483564i
$451$	13.9637	+	79.1920i	0.657524	+	3.72900i
$452$	−3.57466	+	1.30107i	−0.168138	+	0.0611973i
$453$	−4.17289	−	18.4254i	−0.196060	−	0.865702i
$454$	3.59522	+	20.3895i	0.168732	+	0.956927i
$455$	2.84863	−	4.93397i	0.133546	−	0.231308i
$456$	6.63125	−	3.60922i	0.310537	−	0.169017i
$457$	6.25678	+	10.8371i	0.292680	+	0.506936i	0.974443	−	0.224637i	$-0.0721196\pi$
$457$	6.25678	+	10.8371i	0.292680	+	0.506936i	−0.681763	+	0.731573i	$0.738786\pi$
$458$	2.10270	−	1.76437i	0.0982526	−	0.0824437i
$459$	−21.6391	−	4.48818i	−1.01003	−	0.209490i
$460$	1.67496	−	9.49915i	0.0780952	−	0.442900i
$461$	24.7876	−	20.7993i	1.15448	−	0.968720i	0.154661	−	0.987968i	$-0.450572\pi$
$461$	24.7876	−	20.7993i	1.15448	−	0.968720i	0.999815	+	0.0192476i	$0.00612708\pi$
$462$	−25.0155	+	10.4954i	−1.16383	+	0.488290i
$463$	−2.01026	−	3.48187i	−0.0934247	−	0.161816i	0.815525	−	0.578721i	$-0.196448\pi$
$463$	−2.01026	−	3.48187i	−0.0934247	−	0.161816i	−0.908950	+	0.416905i	$0.863115\pi$
$464$	8.86204			0.411410
$465$	0.333957	−	2.62907i	0.0154869	−	0.121920i
$466$	−1.79720	+	10.1924i	−0.0832536	+	0.472155i
$467$	−4.12581	−	7.14610i	−0.190919	−	0.330682i	0.754636	−	0.656144i	$-0.227814\pi$
$467$	−4.12581	−	7.14610i	−0.190919	−	0.330682i	−0.945555	+	0.325462i	$0.894480\pi$
$468$	−5.68144	+	0.549220i	−0.262625	+	0.0253877i
$469$	−21.8501	+	7.95280i	−1.00895	+	0.367226i
$470$	7.51508	−	6.30590i	0.346645	−	0.290870i
$471$	2.46817	+	1.87611i	0.113727	+	0.0864464i
$472$	−3.45998	+	2.90327i	−0.159259	+	0.133634i
$473$	4.10627	+	23.2878i	0.188806	+	1.07077i
$474$	6.62347	−	12.8662i	0.304226	−	0.590964i
$475$	6.12898	−	13.6360i	0.281217	−	0.625664i
$476$	10.1632			0.465831
$477$	14.1487	−	14.4086i	0.647823	−	0.659726i
$478$	12.0880	+	4.39969i	0.552894	+	0.201237i
$479$	1.99942	−	0.727728i	0.0913557	−	0.0332507i	−0.295938	−	0.955207i	$-0.595632\pi$
$479$	1.99942	−	0.727728i	0.0913557	−	0.0332507i	0.387294	+	0.921956i	$0.373410\pi$
$480$	−1.59350	+	1.47357i	−0.0727328	+	0.0672589i
$481$	0.581641	−	3.29865i	0.0265206	−	0.150406i
$482$	−4.61212	−	7.98842i	−0.210076	−	0.363863i
$483$	−17.2404	−	26.7921i	−0.784466	−	1.21908i
$484$	5.54964	−	31.4736i	0.252256	−	1.43062i
$485$	−10.0819	−	8.45971i	−0.457795	−	0.384135i
$486$	4.34801	−	14.9698i	0.197230	−	0.679044i
$487$	8.71380	−	15.0927i	0.394860	−	0.683917i	−0.598223	−	0.801329i	$-0.704126\pi$
$487$	8.71380	−	15.0927i	0.394860	−	0.683917i	0.993083	+	0.117412i	$0.0374598\pi$
$488$	2.73283	+	2.29312i	0.123710	+	0.103805i
$489$	−3.20450	−	14.1495i	−0.144913	−	0.639862i
$490$	1.23801	+	1.03881i	0.0559274	+	0.0469287i
$491$	−0.323991	+	0.271861i	−0.0146215	+	0.0122689i	−0.650069	−	0.759875i	$-0.725260\pi$
$491$	−0.323991	+	0.271861i	−0.0146215	+	0.0122689i	0.635448	+	0.772144i	$0.280816\pi$
$492$	20.2955	+	6.29774i	0.914993	+	0.283924i
$493$	−18.8455	−	32.6413i	−0.848757	−	1.47009i
$494$	−8.03994	−	2.03478i	−0.361734	−	0.0915493i
$495$	−24.5250	+	2.37081i	−1.10231	+	0.106560i
$496$	0.935390	−	0.784885i	0.0420002	−	0.0352424i
$497$	−4.02679	−	22.8371i	−0.180626	−	1.02438i
$498$	−6.60349	−	5.01945i	−0.295910	−	0.224927i
$499$	31.1666	+	11.3437i	1.39521	+	0.507814i	0.926752	−	0.375674i	$-0.122589\pi$
$499$	31.1666	+	11.3437i	1.39521	+	0.507814i	0.468455	+	0.883488i	$0.344811\pi$
$500$	−1.83428	+	10.4027i	−0.0820316	+	0.465224i
$501$	4.84365	+	7.52719i	0.216399	+	0.336290i
$502$	−4.48778	+	7.77307i	−0.200300	+	0.346929i
$503$	11.2081	+	9.40475i	0.499747	+	0.419337i	0.857504	−	0.514477i	$-0.172014\pi$
$503$	11.2081	+	9.40475i	0.499747	+	0.419337i	−0.357757	+	0.933815i	$0.616459\pi$
$504$	−0.559772	+	7.14698i	−0.0249342	+	0.318352i
$505$	11.1567	+	19.3239i	0.496466	+	0.859904i
$506$	50.4524			2.24288
$507$	−12.9341	−	9.83151i	−0.574425	−	0.436633i
$508$	1.60666	+	0.584778i	0.0712842	+	0.0259453i
$509$	−7.31956	−	6.14184i	−0.324434	−	0.272232i	0.465993	−	0.884788i	$-0.345697\pi$
$509$	−7.31956	−	6.14184i	−0.324434	−	0.272232i	−0.790427	+	0.612556i	$0.790141\pi$
$510$	8.81618	+	2.73568i	0.390387	+	0.121138i
$511$	3.26844	+	1.18961i	0.144587	+	0.0526254i
$512$	−1.00000			−0.0441942
$513$	13.2875	−	18.3424i	0.586657	−	0.809836i
$514$	−16.8433			−0.742925
$515$	−18.2189	−	6.63114i	−0.802821	−	0.292203i
$516$	5.96826	+	1.85196i	0.262738	+	0.0815281i
$517$	39.3081	+	32.9834i	1.72877	+	1.45061i
$518$	−3.95315	−	1.43883i	−0.173691	−	0.0632185i
$519$	17.3950	+	13.2223i	0.763555	+	0.580394i
$520$	2.38416			0.104553
$521$	1.27063	+	2.20080i	0.0556673	+	0.0964186i	0.892516	−	0.451015i	$-0.148938\pi$
$521$	1.27063	+	2.20080i	0.0556673	+	0.0964186i	−0.836849	+	0.547434i	$0.815605\pi$
$522$	23.9919	−	11.4547i	1.05010	−	0.501357i
$523$	21.9310	+	18.4023i	0.958978	+	0.804678i	0.980786	−	0.195084i	$-0.0624981\pi$
$523$	21.9310	+	18.4023i	0.958978	+	0.804678i	−0.0218089	+	0.999762i	$0.506943\pi$
$524$	3.92322	−	6.79521i	0.171387	−	0.296850i
$525$	7.68177	+	11.9377i	0.335260	+	0.521004i
$526$	1.18482	−	6.71943i	0.0516605	−	0.292981i
$527$	−4.88008	−	1.77621i	−0.212580	−	0.0773727i
$528$	−9.03784	−	6.86985i	−0.393321	−	0.298972i
$529$	6.29521	+	35.7019i	0.273705	+	1.55226i
$530$	−6.46148	+	5.42183i	−0.280669	+	0.235509i
$531$	−5.61447	+	12.3321i	−0.243647	+	0.535169i
$532$	−4.27022	+	9.50057i	−0.185137	+	0.411902i
$533$	−11.6716	−	20.2157i	−0.505552	−	0.875641i
$534$	19.5302	+	6.06026i	0.845155	+	0.262253i
$535$	−4.45341	+	3.73685i	−0.192538	+	0.161558i
$536$	−7.45406	−	6.25470i	−0.321966	−	0.270162i
$537$	1.40403	+	6.19950i	0.0605884	+	0.267528i
$538$	−12.1773	−	10.2180i	−0.525000	−	0.440527i
$539$	−4.22657	+	7.32063i	−0.182051	+	0.315322i
$540$	−2.40936	+	6.04902i	−0.103682	+	0.260309i
$541$	−29.7982	−	25.0037i	−1.28113	−	1.07499i	−0.993088	−	0.117374i	$-0.962552\pi$
$541$	−29.7982	−	25.0037i	−1.28113	−	1.07499i	−0.288038	−	0.957619i	$-0.593003\pi$
$542$	−0.443694	+	2.51631i	−0.0190583	+	0.108085i
$543$	11.0595	+	17.1868i	0.474610	+	0.737558i
$544$	2.12654	+	3.68327i	0.0911745	+	0.157919i
$545$	1.57681	−	8.94253i	0.0675431	−	0.383056i
$546$	5.78174	−	5.34660i	0.247436	−	0.228813i
$547$	−12.2072	+	4.44304i	−0.521941	+	0.189971i	−0.589536	−	0.807742i	$-0.700689\pi$
$547$	−12.2072	+	4.44304i	−0.521941	+	0.189971i	0.0675956	+	0.997713i	$0.478467\pi$
$548$	−2.44656	−	0.890473i	−0.104512	−	0.0380391i
$549$	10.3625	+	2.67576i	0.442260	+	0.114199i
$550$	−22.4799			−0.958548
$551$	38.4312	−	3.90202i	1.63722	−	0.166232i
$552$	6.10242	−	11.8541i	0.259736	−	0.504542i
$553$	3.46687	+	19.6616i	0.147426	+	0.836095i
$554$	11.3492	−	9.52313i	0.482182	−	0.404599i
$555$	−3.04189	−	2.31221i	−0.129121	−	0.0981477i
$556$	−5.04046	+	4.22945i	−0.213763	+	0.179369i
$557$	−7.66668	+	2.79044i	−0.324848	+	0.118235i	−0.499296	−	0.866431i	$-0.666408\pi$
$557$	−7.66668	+	2.79044i	−0.324848	+	0.118235i	0.174448	+	0.984666i	$0.444186\pi$
$558$	1.51785	−	3.33394i	0.0642555	−	0.141137i
$559$	−3.43223	−	5.94480i	−0.145168	−	0.251438i
$560$	0.519970	−	2.94890i	0.0219728	−	0.124614i
$561$	−6.08420	+	47.8978i	−0.256875	+	2.02225i
$562$	−21.5236			−0.907919
$563$	4.94879	+	8.57155i	0.208567	+	0.361248i	0.951263	−	0.308380i	$-0.0997869\pi$
$563$	4.94879	+	8.57155i	0.208567	+	0.361248i	−0.742697	+	0.669628i	$0.766454\pi$
$564$	12.5041	−	5.24617i	0.526518	−	0.220904i
$565$	3.65159	−	3.06405i	0.153624	−	0.128906i
$566$	2.33456	−	13.2399i	0.0981287	−	0.556516i
$567$	7.72240	+	20.0723i	0.324310	+	0.842959i
$568$	7.43384	−	6.23773i	0.311917	−	0.261730i
$569$	4.25371	+	7.36764i	0.178325	+	0.308868i	0.941307	−	0.337552i	$-0.109599\pi$
$569$	4.25371	+	7.36764i	0.178325	+	0.308868i	−0.762982	+	0.646420i	$0.776266\pi$
$570$	−6.26154	+	7.09191i	−0.262267	+	0.297047i
$571$	−2.02311	+	3.50413i	−0.0846646	+	0.146643i	−0.905248	−	0.424883i	$-0.860315\pi$
$571$	−2.02311	+	3.50413i	−0.0846646	+	0.146643i	0.820584	+	0.571526i	$0.193649\pi$
$572$	2.16548	+	12.2811i	0.0905435	+	0.513497i
$573$	2.22748	+	9.83546i	0.0930545	+	0.410882i
$574$	−27.5497	+	10.0273i	−1.14990	+	0.418530i
$575$	−4.58450	−	26.0000i	−0.191187	−	1.08427i
$576$	−2.70727	+	1.29255i	−0.112803	+	0.0538564i
$577$	17.4581	−	30.2384i	0.726792	−	1.25884i	−0.231441	−	0.972849i	$-0.574344\pi$
$577$	17.4581	−	30.2384i	0.726792	−	1.25884i	0.958232	−	0.285991i	$-0.0923228\pi$
$578$	0.544319	−	0.942789i	0.0226407	−	0.0392149i
$579$	4.50897	−	1.89177i	0.187386	−	0.0786191i
$580$	−10.4351	+	3.79808i	−0.433296	+	0.157707i
$581$	11.4437			0.474764
$582$	−9.84404	−	15.2979i	−0.408048	−	0.634120i
$583$	−33.7972	−	28.3592i	−1.39974	−	1.17452i
$584$	0.252752	+	1.43343i	0.0104590	+	0.0593158i
$585$	6.45457	−	3.08166i	0.266864	−	0.127411i
$586$	9.96316	+	3.62629i	0.411574	+	0.149801i
$587$	−29.4304	−	10.7118i	−1.21472	−	0.442123i	−0.346384	−	0.938093i	$-0.612591\pi$
$587$	−29.4304	−	10.7118i	−1.21472	−	0.442123i	−0.868340	+	0.495969i	$0.834813\pi$
$588$	1.20880	+	1.87851i	0.0498501	+	0.0774686i
$589$	3.71082	−	3.81559i	0.152902	−	0.157219i
$590$	2.82988	−	4.90150i	0.116504	−	0.201792i
$591$	16.3643	−	15.1327i	0.673136	−	0.622476i
$592$	−0.305702	−	1.73372i	−0.0125643	−	0.0712555i
$593$	−0.0132156	+	0.0749497i	−0.000542702	+	0.00307781i	−0.985078	−	0.172109i	$-0.944942\pi$
$593$	−0.0132156	+	0.0749497i	−0.000542702	+	0.00307781i	0.984535	+	0.175187i	$0.0560530\pi$
$594$	−33.3475	−	6.91664i	−1.36826	−	0.283793i
$595$	−11.9673	+	4.35575i	−0.490613	+	0.178568i
$596$	−17.1826			−0.703825
$597$	15.1133	+	23.4866i	0.618548	+	0.961243i
$598$	−13.7625	+	5.00914i	−0.562790	+	0.204839i
$599$	32.5653	−	11.8528i	1.33058	−	0.484293i	0.423749	−	0.905780i	$-0.360714\pi$
$599$	32.5653	−	11.8528i	1.33058	−	0.484293i	0.906834	+	0.421487i	$0.138492\pi$
$600$	−2.71904	+	5.28178i	−0.111004	+	0.215628i
$601$	21.4093			0.873303			0.436652	−	0.899631i	$-0.356164\pi$
$601$	21.4093			0.873303			0.436652	+	0.899631i	$0.356164\pi$
$602$	−8.10149	+	2.94870i	−0.330192	+	0.120180i
$603$	−28.2647	−	7.29839i	−1.15103	−	0.297213i
$604$	−1.89404	+	10.7416i	−0.0770673	+	0.437070i
$605$	6.95415	+	39.4389i	0.282726	+	1.60342i
$606$	6.81248	+	30.0805i	0.276738	+	1.22194i
$607$	17.1863	−	29.7675i	0.697570	−	1.20823i	−0.271737	−	0.962371i	$-0.587598\pi$
$607$	17.1863	−	29.7675i	0.697570	−	1.20823i	0.969307	−	0.245854i	$-0.0790685\pi$
$608$	−4.33660	+	0.440307i	−0.175872	+	0.0178568i
$609$	−16.7885	+	32.6119i	−0.680303	+	1.32150i
$610$	−4.20072	−	1.52894i	−0.170082	−	0.0619049i
$611$	−13.9973	−	5.09459i	−0.566269	−	0.206105i
$612$	10.5179	+	7.22294i	0.425162	+	0.291970i
$613$	3.27959	+	18.5995i	0.132461	+	0.751225i	0.976594	+	0.215091i	$0.0690048\pi$
$613$	3.27959	+	18.5995i	0.132461	+	0.751225i	−0.844133	+	0.536134i	$0.819884\pi$
$614$	−6.13815	−	5.15052i	−0.247716	−	0.207858i
$615$	−26.5973	+	1.28258i	−1.07251	+	0.0517185i
$616$	15.6624			0.631054
$617$	28.3829	−	10.3305i	1.14265	−	0.415891i	0.299782	−	0.954008i	$-0.403086\pi$
$617$	28.3829	−	10.3305i	1.14265	−	0.415891i	0.842870	+	0.538117i	$0.180864\pi$
$618$	−21.3351	−	16.2172i	−0.858223	−	0.652353i
$619$	−1.07161	+	1.85609i	−0.0430718	+	0.0746025i	−0.886758	−	0.462235i	$-0.847048\pi$
$619$	−1.07161	+	1.85609i	−0.0430718	+	0.0746025i	0.843686	+	0.536837i	$0.180381\pi$
$620$	−0.765046	+	1.32510i	−0.0307250	+	0.0532172i
$621$	1.19889	−	39.9798i	0.0481098	−	1.60433i
$622$	−2.82385	−	16.0148i	−0.113226	−	0.642136i
$623$	−26.5109	+	9.64917i	−1.06214	+	0.386586i
$624$	3.14743	+	0.976652i	0.125998	+	0.0390974i
$625$	0.679380	+	3.85296i	0.0271752	+	0.154118i
$626$	−10.2406	+	17.7373i	−0.409298	+	0.708925i
$627$	−42.2184	−	25.8124i	−1.68604	−	1.03085i
$628$	−0.894969	−	1.55013i	−0.0357131	−	0.0618570i
$629$	−5.73568	+	4.81281i	−0.228697	+	0.191899i
$630$	−2.40391	−	8.65555i	−0.0957740	−	0.344845i
$631$	−1.26538	+	7.17633i	−0.0503740	+	0.285685i	−0.999580	−	0.0289691i	$-0.990778\pi$
$631$	−1.26538	+	7.17633i	−0.0503740	+	0.285685i	0.949206	+	0.314655i	$0.101889\pi$
$632$	−6.40017	+	5.37038i	−0.254585	+	0.213622i
$633$	1.88773	−	14.8611i	0.0750304	−	0.590676i
$634$	2.45103	+	4.24531i	0.0973428	+	0.168603i
$635$	−2.14249			−0.0850220
$636$	−10.7511	+	4.51067i	−0.426307	+	0.178860i
$637$	0.426106	−	2.41657i	0.0168829	−	0.0957478i
$638$	−29.0423	−	50.3028i	−1.14980	−	1.99151i
$639$	12.0628	−	26.4959i	0.477197	−	1.04816i
$640$	1.17751	−	0.428579i	0.0465452	−	0.0169411i
$641$	−9.21858	+	7.73531i	−0.364112	+	0.305526i	−0.806427	−	0.591333i	$-0.798602\pi$
$641$	−9.21858	+	7.73531i	−0.364112	+	0.305526i	0.442315	+	0.896860i	$0.354157\pi$
$642$	−7.40988	+	3.10886i	−0.292445	+	0.122697i
$643$	−10.5072	+	8.81660i	−0.414364	+	0.347693i	−0.826014	−	0.563649i	$-0.809397\pi$
$643$	−10.5072	+	8.81660i	−0.414364	+	0.347693i	0.411650	+	0.911342i	$0.364953\pi$
$644$	3.19414	+	18.1149i	0.125867	+	0.713825i
$645$	−7.82141	+	0.377165i	−0.307968	+	0.0148509i
$646$	10.8437	+	15.0366i	0.426640	+	0.591605i
$647$	3.35666			0.131964			0.0659819	−	0.997821i	$-0.478982\pi$
$647$	3.35666			0.131964			0.0659819	+	0.997821i	$0.478982\pi$
$648$	−5.65861	+	6.99858i	−0.222291	+	0.274930i
$649$	27.8185	+	10.1251i	1.09197	+	0.397445i
$650$	6.13212	−	2.23191i	0.240521	−	0.0875426i
$651$	1.11632	+	4.92909i	0.0437519	+	0.193186i
$652$	−1.45449	+	8.24884i	−0.0569623	+	0.323049i
$653$	19.3151	+	33.4546i	0.755856	+	1.30918i	0.944947	+	0.327222i	$0.106113\pi$
$653$	19.3151	+	33.4546i	0.755856	+	1.30918i	−0.189091	+	0.981960i	$0.560554\pi$
$654$	5.74483	−	11.1594i	0.224641	−	0.436369i
$655$	−1.70735	+	9.68284i	−0.0667116	+	0.378340i
$656$	−9.39844	−	7.88623i	−0.366948	−	0.307906i
$657$	2.53705	+	3.55398i	0.0989798	+	0.138654i
$658$	−9.35406	+	16.2017i	−0.364659	+	0.631608i
$659$	34.0074	+	28.5356i	1.32474	+	1.11159i	0.985276	+	0.170969i	$0.0546899\pi$
$659$	34.0074	+	28.5356i	1.32474	+	1.11159i	0.339463	+	0.940619i	$0.389755\pi$
$660$	13.5864	+	4.21589i	0.528851	+	0.164103i
$661$	6.55030	+	5.49635i	0.254777	+	0.213783i	0.761226	−	0.648487i	$-0.224598\pi$
$661$	6.55030	+	5.49635i	0.254777	+	0.213783i	−0.506449	+	0.862270i	$0.669042\pi$
$662$	3.91199	−	3.28255i	0.152044	−	0.127580i
$663$	−3.09585	−	13.6697i	−0.120233	−	0.530888i
$664$	2.39446	+	4.14732i	0.0929229	+	0.160947i
$665$	0.956483	−	13.0171i	0.0370908	−	0.504783i
$666$	−3.06854	−	4.29852i	−0.118904	−	0.166564i
$667$	52.2567	−	43.8486i	2.02339	−	1.69782i
$668$	−0.897385	−	5.08932i	−0.0347209	−	0.196912i
$669$	2.60558	−	1.09319i	0.100737	−	0.0422650i
$670$	11.4579	+	4.17032i	0.442656	+	0.161114i
$671$	4.06029	−	23.0270i	0.156746	−	0.888949i
$672$	1.89442	−	3.67995i	0.0730790	−	0.141957i
$673$	−14.8497	+	25.7204i	−0.572413	+	0.991449i	0.423904	+	0.905707i	$0.360659\pi$
$673$	−14.8497	+	25.7204i	−0.572413	+	0.991449i	−0.996317	+	0.0857420i	$0.972674\pi$
$674$	16.8960	+	14.1774i	0.650810	+	0.546095i
$675$	−0.534187	+	17.8137i	−0.0205609	+	0.685650i
$676$	4.68998	+	8.12328i	0.180384	+	0.312434i
$677$	5.90417			0.226916			0.113458	−	0.993543i	$-0.463807\pi$
$677$	5.90417			0.226916			0.113458	+	0.993543i	$0.463807\pi$
$678$	6.07577	−	2.54913i	0.233339	−	0.0978986i
$679$	23.5843	+	8.58400i	0.905084	+	0.329424i
$680$	−4.08259	−	3.42570i	−0.156560	−	0.131370i
$681$	−7.92090	−	34.9747i	−0.303529	−	1.34023i
$682$	−7.52059	−	2.73727i	−0.287978	−	0.104816i
$683$	26.5725			1.01677			0.508384	−	0.861131i	$-0.330243\pi$
$683$	26.5725			1.01677			0.508384	+	0.861131i	$0.330243\pi$
$684$	−11.1712	+	6.79732i	−0.427143	+	0.259902i
$685$	3.26248			0.124653
$686$	−18.6146	−	6.77517i	−0.710709	−	0.258677i
$687$	−3.49056	+	3.22786i	−0.133173	+	0.123150i
$688$	−2.76378	−	2.31909i	−0.105368	−	0.0884144i
$689$	12.0349	+	4.38034i	0.458493	+	0.166878i
$690$	−2.10526	+	16.5736i	−0.0801460	+	0.630948i
$691$	−38.5937			−1.46817			−0.734086	−	0.679056i	$-0.762389\pi$
$691$	−38.5937			−1.46817			−0.734086	+	0.679056i	$0.762389\pi$
$692$	−6.30750	−	10.9249i	−0.239775	−	0.415303i
$693$	42.4022	−	20.2444i	1.61073	−	0.769022i
$694$	−18.8849	−	15.8463i	−0.716860	−	0.601517i
$695$	4.12254	−	7.14045i	0.156377	−	0.270853i
$696$	−15.3317	+	0.739327i	−0.581146	+	0.0280241i
$697$	−9.06098	+	51.3874i	−0.343209	+	1.94644i
$698$	2.94458	+	1.07174i	0.111454	+	0.0405659i
$699$	2.25891	−	17.7832i	0.0854399	−	0.672624i
$700$	−1.42320	−	8.07139i	−0.0537920	−	0.305070i
$701$	35.5522	−	29.8318i	1.34279	−	1.12673i	0.361888	−	0.932222i	$-0.382132\pi$
$701$	35.5522	−	29.8318i	1.34279	−	1.12673i	0.980900	−	0.194512i	$-0.0623122\pi$
$702$	9.78331	−	1.42415i	0.369247	−	0.0537512i
$703$	−2.08908	−	7.38386i	−0.0787911	−	0.278488i
$704$	3.27716	+	5.67621i	0.123513	+	0.213930i
$705$	−12.4753	+	11.5364i	−0.469848	+	0.434487i
$706$	2.18321	−	1.83193i	0.0821661	−	0.0689456i
$707$	−32.5964	−	27.3516i	−1.22591	−	1.02866i
$708$	5.74370	−	5.31142i	0.215861	−	0.199616i
$709$	−14.3723	−	12.0598i	−0.539763	−	0.452915i	0.331694	−	0.943387i	$-0.392380\pi$
$709$	−14.3723	−	12.0598i	−0.539763	−	0.452915i	−0.871457	+	0.490472i	$0.836824\pi$
$710$	−6.08007	+	10.5310i	−0.228181	+	0.395221i
$711$	−10.3855	+	22.8116i	−0.389486	+	0.855503i
$712$	−9.04405	−	7.58886i	−0.338940	−	0.284404i
$713$	1.63216	−	9.25644i	0.0611249	−	0.346656i
$714$	−17.5828	+	0.847881i	−0.658020	+	0.0317312i
$715$	−7.81329	−	13.5330i	−0.292200	−	0.506106i
$716$	0.637276	−	3.61417i	0.0238161	−	0.135068i
$717$	−21.2798	−	6.60317i	−0.794710	−	0.246600i
$718$	3.44126	−	1.25252i	0.128427	−	0.0467435i
$719$	−19.3374	−	7.03822i	−0.721161	−	0.262481i	−0.0447427	−	0.998999i	$-0.514247\pi$
$719$	−19.3374	−	7.03822i	−0.721161	−	0.262481i	−0.676419	+	0.736517i	$0.736469\pi$
$720$	2.63388	−	2.68227i	0.0981588	−	0.0999624i
$721$	36.9732			1.37695
$722$	−18.6123	+	3.81888i	−0.692677	+	0.142124i
$723$	8.64560	+	13.4355i	0.321533	+	0.499672i
$724$	−2.04900	−	11.6205i	−0.0761505	−	0.431871i
$725$	−23.2839	+	19.5375i	−0.864741	+	0.725604i
$726$	−6.97538	+	54.9136i	−0.258881	+	2.03803i
$727$	12.9972	−	10.9060i	0.482041	−	0.404480i	−0.369123	−	0.929381i	$-0.620342\pi$
$727$	12.9972	−	10.9060i	0.482041	−	0.404480i	0.851164	+	0.524900i	$0.175897\pi$
$728$	−4.27240	+	1.55503i	−0.158346	+	0.0576332i
$729$	−6.27336	+	26.2611i	−0.232347	+	0.972633i
$730$	−0.911956	−	1.57955i	−0.0337530	−	0.0584619i
$731$	−2.66454	+	15.1114i	−0.0985517	+	0.558914i
$732$	−4.91922	−	3.73920i	−0.181819	−	0.138205i
$733$	−46.1005			−1.70276			−0.851381	−	0.524547i	$-0.824235\pi$
$733$	−46.1005			−1.70276			−0.851381	+	0.524547i	$0.824235\pi$
$734$	4.94962	+	8.57300i	0.182694	+	0.316435i
$735$	−2.22847	−	1.69390i	−0.0821982	−	0.0624806i
$736$	−5.89669	+	4.94791i	−0.217355	+	0.182382i
$737$	−11.0748	+	62.8085i	−0.407946	+	2.31358i
$738$	−35.6375	−	9.20216i	−1.31183	−	0.338736i
$739$	4.30751	−	3.61443i	0.158454	−	0.132959i	−0.560113	−	0.828416i	$-0.689242\pi$
$739$	4.30751	−	3.61443i	0.158454	−	0.132959i	0.718568	+	0.695457i	$0.244798\pi$
$740$	1.10300	+	1.91046i	0.0405472	+	0.0702299i
$741$	14.0792	+	2.84952i	0.517211	+	0.104680i
$742$	8.04264	−	13.9303i	0.295254	−	0.511396i
$743$	4.38274	+	24.8558i	0.160787	+	0.911870i	0.953302	+	0.302017i	$0.0976601\pi$
$743$	4.38274	+	24.8558i	0.160787	+	0.911870i	−0.792515	+	0.609852i	$0.791229\pi$
$744$	−1.55278	+	1.43592i	−0.0569277	+	0.0526433i
$745$	20.2326	−	7.36408i	0.741266	−	0.269799i
$746$	2.68830	+	15.2461i	0.0984256	+	0.558199i
$747$	11.8431	+	8.13295i	0.433315	+	0.297569i
$748$	13.9380	−	24.1413i	0.509624	−	0.882695i
$749$	5.54318	−	9.60107i	0.202543	−	0.350815i
$750$	2.30552	−	18.1502i	0.0841857	−	0.662750i
$751$	2.13249	−	0.776165i	0.0778158	−	0.0283226i	−0.302819	−	0.953048i	$-0.597928\pi$
$751$	2.13249	−	0.776165i	0.0778158	−	0.0283226i	0.380635	+	0.924725i	$0.375706\pi$
$752$	−7.82890			−0.285491
$753$	7.11557	−	13.8221i	0.259306	−	0.503706i
$754$	12.9165	+	10.8382i	0.470391	+	0.394705i
$755$	−2.37338	−	13.4601i	−0.0863762	−	0.489864i
$756$	0.372182	−	12.4113i	0.0135361	−	0.451393i
$757$	−28.6797	−	10.4386i	−1.04238	−	0.379396i	−0.236599	−	0.971607i	$-0.576033\pi$
$757$	−28.6797	−	10.4386i	−1.04238	−	0.379396i	−0.805783	+	0.592211i	$0.798255\pi$
$758$	−22.8973	−	8.33394i	−0.831668	−	0.302702i
$759$	−87.2847	+	4.20906i	−3.16823	+	0.152779i
$760$	4.91769	−	2.37704i	0.178383	−	0.0862244i
$761$	−2.30286	+	3.98867i	−0.0834786	+	0.144589i	−0.904742	−	0.425960i	$-0.859936\pi$
$761$	−2.30286	+	3.98867i	−0.0834786	+	0.144589i	0.821263	+	0.570549i	$0.193270\pi$
$762$	−2.82838	−	0.877651i	−0.102461	−	0.0317939i
$763$	3.00697	+	17.0534i	0.108860	+	0.617374i
$764$	1.01103	−	5.73386i	0.0365779	−	0.207444i
$765$	−15.4806	−	3.99733i	−0.559701	−	0.144524i
$766$	5.09323	−	1.85378i	0.184026	−	0.0669799i
$767$	−8.59363			−0.310298
$768$	1.73004	−	0.0834263i	0.0624275	−	0.00301039i
$769$	−14.5005	+	5.27774i	−0.522901	+	0.190320i	−0.589966	−	0.807428i	$-0.700859\pi$
$769$	−14.5005	+	5.27774i	−0.522901	+	0.190320i	0.0670649	+	0.997749i	$0.478637\pi$
$770$	−18.4426	+	6.71255i	−0.664625	+	0.241904i
$771$	29.1396	−	1.40517i	1.04944	−	0.0506061i
$772$	−2.82309			−0.101605
$773$	21.4023	−	7.78980i	0.769787	−	0.280180i	0.0728799	−	0.997341i	$-0.476781\pi$
$773$	21.4023	−	7.78980i	0.769787	−	0.280180i	0.696907	+	0.717161i	$0.254559\pi$
$774$	−10.4798	−	2.70606i	−0.376690	−	0.0972674i
$775$	−0.727237	+	4.12437i	−0.0261231	+	0.148152i
$776$	1.82381	+	10.3433i	0.0654709	+	0.371304i
$777$	6.95914	+	2.15943i	0.249658	+	0.0774693i
$778$	1.12526	−	1.94900i	0.0403424	−	0.0698750i
$779$	−44.2297	−	30.0612i	−1.58469	−	1.07706i
$780$	−4.12470	+	0.198902i	−0.147688	+	0.00712183i
$781$	−59.7686	−	21.7540i	−2.13869	−	0.778419i
$782$	30.7640	+	11.1972i	1.10012	+	0.400410i
$783$	−40.5514	+	21.8186i	−1.44919	+	0.779732i
$784$	−0.223955	−	1.27011i	−0.00799838	−	0.0453611i
$785$	1.71819	+	1.44173i	0.0613248	+	0.0514576i
$786$	−6.22043	+	12.0833i	−0.221875	+	0.430997i
$787$	21.7721			0.776090			0.388045	−	0.921640i	$-0.373151\pi$
$787$	21.7721			0.776090			0.388045	+	0.921640i	$0.373151\pi$
$788$	−12.0923	+	4.40125i	−0.430772	+	0.156788i
$789$	−1.48920	+	11.7237i	−0.0530171	+	0.417376i
$790$	5.23464	−	9.06666i	0.186240	−	0.322577i
$791$	−4.54516	+	7.87244i	−0.161607	+	0.279912i
$792$	16.2090	+	11.1311i	0.575960	+	0.395527i
$793$	1.17865	+	6.68448i	0.0418552	+	0.237373i
$794$	6.89281	−	2.50878i	0.244617	−	0.0890332i
$795$	10.7263	−	9.91904i	0.380423	−	0.351792i
$796$	−2.80005	−	15.8799i	−0.0992453	−	0.562848i
$797$	−15.9599	+	27.6434i	−0.565329	+	0.979179i	0.431690	+	0.902022i	$0.357917\pi$
$797$	−15.9599	+	27.6434i	−0.565329	+	0.979179i	−0.997019	+	0.0771565i	$0.975416\pi$
$798$	6.59505	−	16.7926i	0.233462	−	0.594452i
$799$	16.6484	+	28.8360i	0.588980	+	1.02014i
$800$	2.62737	−	2.20463i	0.0928916	−	0.0779453i
$801$	−34.2937	−	8.85517i	−1.21171	−	0.312882i
$802$	3.69926	−	20.9795i	0.130625	−	0.740813i
$803$	7.30814	−	6.13225i	0.257899	−	0.216403i
$804$	13.4176	+	10.1990i	0.473203	+	0.359692i
$805$	−11.5248	−	19.9615i	−0.406195	−	0.703550i
$806$	2.32325			0.0818329
$807$	21.9196	+	16.6616i	0.771608	+	0.586515i
$808$	3.09212	−	17.5363i	0.108780	−	0.616924i
$809$	24.4814	+	42.4031i	0.860721	+	1.49081i	0.871234	+	0.490869i	$0.163320\pi$
$809$	24.4814	+	42.4031i	0.860721	+	1.49081i	−0.0105122	+	0.999945i	$0.503346\pi$
$810$	3.66364	−	10.6661i	0.128727	−	0.374767i
$811$	9.59273	−	3.49147i	0.336846	−	0.122602i	−0.168059	−	0.985777i	$-0.553750\pi$
$811$	9.59273	−	3.49147i	0.336846	−	0.122602i	0.504905	+	0.863175i	$0.331528\pi$
$812$	16.2225	−	13.6123i	0.569297	−	0.477697i
$813$	0.557682	−	4.39034i	0.0195587	−	0.153976i
$814$	−8.83913	+	7.41691i	−0.309811	+	0.259963i
$815$	−1.82260	−	10.3365i	−0.0638428	−	0.362070i
$816$	−3.98628	−	6.19480i	−0.139548	−	0.216861i
$817$	−13.0065	−	8.84005i	−0.455041	−	0.309274i
$818$	31.9418			1.11682
$819$	−9.55659	+	9.73219i	−0.333934	+	0.340070i
$820$	14.4466	+	5.25815i	0.504498	+	0.183622i
$821$	7.48582	−	2.72462i	0.261257	−	0.0950897i	−0.208071	−	0.978114i	$-0.566718\pi$
$821$	7.48582	−	2.72462i	0.261257	−	0.0950897i	0.469328	+	0.883024i	$0.344496\pi$
$822$	4.30693	+	1.33645i	0.150221	+	0.0466140i
$823$	−9.86934	+	55.9718i	−0.344023	+	1.95105i	−0.0371286	+	0.999310i	$0.511821\pi$
$823$	−9.86934	+	55.9718i	−0.344023	+	1.95105i	−0.306895	+	0.951743i	$0.599290\pi$
$824$	7.73620	+	13.3995i	0.269503	+	0.466793i
$825$	38.8912	−	1.87542i	1.35402	−	0.0652937i
$826$	−1.87421	+	10.6292i	−0.0652122	+	0.369837i
$827$	10.8793	+	9.12883i	0.378311	+	0.317441i	0.812039	−	0.583603i	$-0.198358\pi$
$827$	10.8793	+	9.12883i	0.378311	+	0.317441i	−0.433728	+	0.901044i	$0.642802\pi$
$828$	−9.56849	+	21.0171i	−0.332528	+	0.730395i
$829$	14.1732	−	24.5486i	0.492254	−	0.852609i	−0.507706	−	0.861530i	$-0.669506\pi$
$829$	14.1732	−	24.5486i	0.492254	−	0.852609i	0.999960	+	0.00892133i	$0.00283979\pi$
$830$	−4.59695	−	3.85730i	−0.159562	−	0.133889i
$831$	−18.8401	+	17.4222i	−0.653557	+	0.604370i
$832$	−1.45751	−	1.22299i	−0.0505300	−	0.0423997i
$833$	−4.20191	+	3.52582i	−0.145588	+	0.122163i
$834$	8.36735	−	7.73762i	0.289738	−	0.267932i
$835$	3.23786	+	5.60813i	0.112051	+	0.194077i
$836$	16.7110	+	23.1725i	0.577963	+	0.801438i
$837$	−2.34780	+	5.89447i	−0.0811517	+	0.203743i
$838$	14.0011	−	11.7483i	0.483660	−	0.405839i
$839$	−8.08492	−	45.8519i	−0.279122	−	1.58298i	−0.725555	−	0.688164i	$-0.758417\pi$
$839$	−8.08492	−	45.8519i	−0.279122	−	1.58298i	0.446432	−	0.894817i	$-0.352694\pi$
$840$	−0.653554	+	5.14509i	−0.0225498	+	0.177523i
$841$	−46.5484	−	16.9422i	−1.60512	−	0.584215i
$842$	−0.711918	+	4.03749i	−0.0245343	+	0.139141i
$843$	37.2367	−	1.79564i	1.28250	−	0.0618450i
$844$	−4.32450	+	7.49026i	−0.148855	+	0.257825i
$845$	−9.00396	−	7.55522i	−0.309746	−	0.259907i
$846$	−21.1949	+	10.1193i	−0.728697	+	0.347908i
$847$	−38.1851	−	66.1386i	−1.31206	−	2.27255i
$848$	6.73130			0.231154
$849$	−2.93432	+	23.1004i	−0.100706	+	0.792803i
$850$	−13.7074	−	4.98910i	−0.470161	−	0.171125i
$851$	−10.3809	−	8.71063i	−0.355853	−	0.298597i
$852$	−12.3405	+	11.4117i	−0.422777	+	0.390959i
$853$	51.2936	+	18.6693i	1.75626	+	0.639226i	0.999889	−	0.0149165i	$-0.00474825\pi$
$853$	51.2936	+	18.6693i	1.75626	+	0.639226i	0.756371	+	0.654143i	$0.226970\pi$
$854$	8.52488			0.291715
$855$	10.2411	−	12.7917i	0.350237	−	0.437466i
$856$	4.63938			0.158571
$857$	−37.6579	−	13.7064i	−1.28637	−	0.468200i	−0.393836	−	0.919181i	$-0.628852\pi$
$857$	−37.6579	−	13.7064i	−1.28637	−	0.468200i	−0.892534	+	0.450981i	$0.851074\pi$
$858$	−4.77094	−	21.0661i	−0.162877	−	0.719185i
$859$	−35.2160	−	29.5498i	−1.20156	−	1.00823i	−0.999584	−	0.0288339i	$-0.990821\pi$
$859$	−35.2160	−	29.5498i	−1.20156	−	1.00823i	−0.201972	−	0.979391i	$-0.564735\pi$
$860$	4.24829	+	1.54625i	0.144866	+	0.0527268i
$861$	46.8256	−	19.6460i	1.59581	−	0.669533i
$862$	24.5995			0.837862
$863$	−20.6162	−	35.7082i	−0.701782	−	1.21552i	−0.967840	−	0.251565i	$-0.919055\pi$
$863$	−20.6162	−	35.7082i	−0.701782	−	1.21552i	0.266058	−	0.963957i	$-0.414279\pi$
$864$	4.57585	−	2.46203i	0.155674	−	0.0837598i
$865$	12.1093	+	10.1609i	0.411730	+	0.345482i
$866$	14.9777	−	25.9421i	0.508963	−	0.881550i
$867$	−0.863041	+	1.67647i	−0.0293104	+	0.0569360i
$868$	0.506685	−	2.87355i	0.0171980	−	0.0975348i
$869$	51.4578	+	18.7291i	1.74559	+	0.635341i
$870$	17.7364	−	7.44140i	0.601319	−	0.252287i
$871$	−3.21489	−	18.2326i	−0.108932	−	0.617787i
$872$	−5.55116	+	4.65798i	−0.187986	+	0.157739i
$873$	18.3068	+	25.6448i	0.619592	+	0.867945i
$874$	−23.3930	+	24.0535i	−0.791280	+	0.813621i
$875$	12.6210	+	21.8603i	0.426669	+	0.739012i
$876$	−0.556858	−	2.45881i	−0.0188145	−	0.0830753i
$877$	18.0091	−	15.1114i	0.608123	−	0.510276i	−0.285922	−	0.958253i	$-0.592300\pi$
$877$	18.0091	−	15.1114i	0.608123	−	0.510276i	0.894045	+	0.447977i	$0.147855\pi$
$878$	−15.4051	−	12.9264i	−0.519897	−	0.436245i
$879$	−17.5392	−	5.44244i	−0.591582	−	0.183569i
$880$	−6.29159	−	5.27927i	−0.212090	−	0.177964i
$881$	11.5310	−	19.9723i	0.388489	−	0.672882i	−0.603758	−	0.797168i	$-0.706331\pi$
$881$	11.5310	−	19.9723i	0.388489	−	0.672882i	0.992246	+	0.124286i	$0.0396639\pi$
$882$	−2.24799	−	3.14906i	−0.0756938	−	0.106034i
$883$	−13.8680	−	11.6367i	−0.466696	−	0.391605i	0.378892	−	0.925441i	$-0.376305\pi$
$883$	−13.8680	−	11.6367i	−0.466696	−	0.391605i	−0.845588	+	0.533836i	$0.820750\pi$
$884$	−1.40517	+	7.96914i	−0.0472611	+	0.268031i
$885$	−4.48690	+	8.71589i	−0.150826	+	0.292981i
$886$	19.3938	+	33.5910i	0.651547	+	1.12851i
$887$	−7.40497	+	41.9957i	−0.248634	+	1.41008i	0.563264	+	0.826277i	$0.309546\pi$
$887$	−7.40497	+	41.9957i	−0.248634	+	1.41008i	−0.811898	+	0.583799i	$0.801566\pi$
$888$	0.673515	+	2.97391i	0.0226017	+	0.0997977i
$889$	3.83932	−	1.39740i	0.128767	−	0.0468672i
$890$	13.9019	+	5.05987i	0.465992	+	0.169607i
$891$	58.2696	+	9.18401i	1.95210	+	0.307676i
$892$	−1.63137			−0.0546223
$893$	−33.9508	+	3.44712i	−1.13612	+	0.115354i
$894$	29.7265	−	1.43348i	0.994203	−	0.0479426i
$895$	0.798559	+	4.52885i	0.0266929	+	0.151383i
$896$	−1.83056	+	1.53602i	−0.0611546	+	0.0513148i
$897$	23.3918	−	9.81416i	0.781029	−	0.327685i
$898$	12.9142	−	10.8363i	0.430953	−	0.361612i
$899$	−10.1685	+	3.70104i	−0.339139	+	0.123437i
$900$	4.26340	−	9.36453i	0.142113	−	0.312151i
$901$	−14.3144	−	24.7932i	−0.476881	−	0.825981i
$902$	−13.9637	+	79.1920i	−0.464940	+	2.63680i
$903$	13.7699	−	5.77725i	0.458234	−	0.192255i
$904$	−3.80408			−0.126522
$905$	7.39300	+	12.8051i	0.245752	+	0.425655i
$906$	2.38063	−	18.7414i	0.0790911	−	0.622643i
$907$	9.85989	−	8.27343i	0.327392	−	0.274715i	−0.464244	−	0.885707i	$-0.653674\pi$
$907$	9.85989	−	8.27343i	0.327392	−	0.274715i	0.791636	+	0.610993i	$0.209229\pi$
$908$	−3.59522	+	20.3895i	−0.119312	+	0.676650i
$909$	−14.2954	−	51.4721i	−0.474147	−	1.70722i
$910$	4.36435	−	3.66212i	0.144677	−	0.121398i
$911$	−20.5523	−	35.5977i	−0.680929	−	1.17940i	−0.974698	−	0.223528i	$-0.928243\pi$
$911$	−20.5523	−	35.5977i	−0.680929	−	1.17940i	0.293768	−	0.955877i	$-0.405091\pi$
$912$	7.46577	−	1.12354i	0.247216	−	0.0372040i
$913$	15.6940	−	27.1829i	0.519397	−	0.899621i
$914$	2.17296	+	12.3235i	0.0718750	+	0.407624i
$915$	7.39497	+	2.29467i	0.244470	+	0.0758596i
$916$	2.57934	−	0.938803i	0.0852238	−	0.0310189i
$917$	−3.25591	−	18.4652i	−0.107520	−	0.609774i
$918$	−18.7990	−	11.6185i	−0.620460	−	0.383468i
$919$	11.1392	−	19.2937i	0.367448	−	0.636439i	−0.621717	−	0.783242i	$-0.713565\pi$
$919$	11.1392	−	19.2937i	0.367448	−	0.636439i	0.989166	+	0.146802i	$0.0468981\pi$
$920$	4.82284	−	8.35341i	0.159004	−	0.275404i
$921$	11.0489	+	8.39853i	0.364075	+	0.276741i
$922$	30.4065	−	11.0671i	1.00139	−	0.364475i
$923$	18.4636			0.607737
$924$	−27.0965	+	1.30665i	−0.891410	+	0.0429857i
$925$	4.62540	+	3.88117i	0.152082	+	0.127612i
$926$	−0.698156	−	3.95944i	−0.0229428	−	0.130115i
$927$	38.2635	+	26.2766i	1.25674	+	0.863036i
$928$	8.32760	+	3.03100i	0.273367	+	0.0994974i
$929$	−28.6450	−	10.4259i	−0.939813	−	0.342064i	−0.173721	−	0.984795i	$-0.555579\pi$
$929$	−28.6450	−	10.4259i	−0.939813	−	0.342064i	−0.766092	+	0.642731i	$0.777801\pi$
$930$	1.21301	−	2.35630i	0.0397762	−	0.0772661i
$931$	−1.53044	−	5.40936i	−0.0501582	−	0.177285i
$932$	−5.17483	+	8.96307i	−0.169507	+	0.293595i
$933$	6.22142	+	27.4707i	0.203680	+	0.899351i
$934$	−1.43288	−	8.12625i	−0.0468852	−	0.265899i
$935$	−6.06569	+	34.4002i	−0.198369	+	1.12501i
$936$	−5.52665	−	1.42707i	−0.180644	−	0.0466452i
$937$	−24.8825	+	9.05651i	−0.812877	+	0.295863i	−0.714812	−	0.699317i	$-0.753488\pi$
$937$	−24.8825	+	9.05651i	−0.812877	+	0.295863i	−0.0980655	+	0.995180i	$0.531265\pi$
$938$	−23.2524			−0.759219
$939$	16.2370	−	31.5406i	0.529873	−	1.02929i
$940$	9.21861	−	3.35530i	0.300678	−	0.109438i
$941$	−2.52520	+	0.919098i	−0.0823192	+	0.0299618i	−0.382852	−	0.923810i	$-0.625058\pi$
$941$	−2.52520	+	0.919098i	−0.0823192	+	0.0299618i	0.300532	+	0.953772i	$0.402836\pi$
$942$	1.67765	+	2.60713i	0.0546609	+	0.0849448i
$943$	−94.4400			−3.07539
$944$	−4.24429	+	1.54480i	−0.138140	+	0.0502789i
$945$	4.88096	+	14.7739i	0.158778	+	0.480595i
$946$	−4.10627	+	23.2878i	−0.133506	+	0.757152i
$947$	8.21552	+	46.5925i	0.266969	+	1.51405i	0.763370	+	0.645961i	$0.223543\pi$
$947$	8.21552	+	46.5925i	0.266969	+	1.51405i	−0.496402	+	0.868093i	$0.665346\pi$
$948$	10.6245	−	9.82492i	0.345068	−	0.319099i
$949$	−1.38469	+	2.39835i	−0.0449489	+	0.0778538i
$950$	10.4232	−	10.7174i	0.338172	−	0.347720i
$951$	−4.59455	−	7.14008i	−0.148989	−	0.231533i
$952$	9.55032	+	3.47603i	0.309528	+	0.112659i
$953$	−54.5806	−	19.8657i	−1.76804	−	0.643513i	−0.999995	−	0.00311594i	$-0.999008\pi$
$953$	−54.5806	−	19.8657i	−1.76804	−	0.643513i	−0.768044	−	0.640398i	$-0.778770\pi$
$954$	18.2234	−	8.70056i	0.590006	−	0.281691i
$955$	1.26691	+	7.18499i	0.0409962	+	0.232501i
$956$	9.85426	+	8.26870i	0.318709	+	0.267429i
$957$	54.4410	+	84.6030i	1.75983	+	2.73483i
$958$	2.12773			0.0687440
$959$	−5.84634	+	2.12790i	−0.188788	+	0.0687133i
$960$	−2.00139	+	0.839694i	−0.0645945	+	0.0271010i
$961$	14.7545	−	25.5555i	0.475952	−	0.824372i
$962$	1.67477	−	2.90079i	0.0539967	−	0.0935251i
$963$	12.5600	−	5.99664i	0.404742	−	0.193239i
$964$	−1.60177	−	9.08410i	−0.0515896	−	0.292579i
$965$	3.32422	−	1.20992i	0.107011	−	0.0389486i
$966$	−7.03724	−	31.0730i	−0.226420	−	0.999756i
$967$	−3.35877	−	19.0485i	−0.108011	−	0.612559i	−0.989975	−	0.141243i	$-0.954890\pi$
$967$	−3.35877	−	19.0485i	−0.108011	−	0.612559i	0.881964	−	0.471316i	$-0.156221\pi$
$968$	15.9796	−	27.6774i	0.513602	−	0.889586i
$969$	−20.0145	−	25.1092i	−0.642959	−	0.806623i
$970$	−6.58048	−	11.3977i	−0.211287	−	0.365959i
$971$	−24.6162	+	20.6554i	−0.789971	+	0.662865i	−0.945738	−	0.324929i	$-0.894659\pi$
$971$	−24.6162	+	20.6554i	−0.789971	+	0.662865i	0.155767	+	0.987794i	$0.450215\pi$
$972$	9.20577	−	12.5799i	0.295275	−	0.403500i
$973$	−2.73033	+	15.4845i	−0.0875305	+	0.496410i
$974$	13.3503	−	11.2022i	0.427772	−	0.358943i
$975$	−10.4226	+	4.37287i	−0.333791	+	0.140044i
$976$	1.78373	+	3.08951i	0.0570958	+	0.0988928i
$977$	−53.4876			−1.71122			−0.855610	−	0.517621i	$-0.826818\pi$
$977$	−53.4876			−1.71122			−0.855610	+	0.517621i	$0.826818\pi$
$978$	1.82816	−	14.3922i	0.0584582	−	0.460211i
$979$	−13.4371	+	76.2058i	−0.429453	+	2.43555i
$980$	0.808052	+	1.39959i	0.0258123	+	0.0447081i
$981$	−9.00780	+	19.7856i	−0.287597	+	0.631704i
$982$	−0.397434	+	0.144654i	−0.0126826	+	0.00461610i
$983$	12.2398	−	10.2704i	0.390390	−	0.327576i	−0.426375	−	0.904546i	$-0.640210\pi$
$983$	12.2398	−	10.2704i	0.390390	−	0.327576i	0.816765	+	0.576970i	$0.195765\pi$
$984$	16.9176	+	12.8594i	0.539314	+	0.409943i
$985$	12.3526	−	10.3650i	0.393586	−	0.330258i
$986$	−6.54496	−	37.1183i	−0.208434	−	1.18209i
$987$	14.8312	−	28.8100i	0.472084	−	0.917032i
$988$	−6.85913	−	4.66189i	−0.218218	−	0.148315i
$989$	−27.7718			−0.883091
$990$	−23.8568	−	6.16020i	−0.758218	−	0.195784i
$991$	16.2781	+	5.92473i	0.517090	+	0.188205i	0.587365	−	0.809322i	$-0.300165\pi$
$991$	16.2781	+	5.92473i	0.517090	+	0.188205i	−0.0702749	+	0.997528i	$0.522388\pi$
$992$	1.14743	−	0.417629i	0.0364308	−	0.0132597i
$993$	−6.49405	+	6.00531i	−0.206082	+	0.190573i
$994$	4.02679	−	22.8371i	0.127722	−	0.724347i
$995$	10.1029	+	17.4987i	0.320283	+	0.554746i
$996$	−4.48850	−	6.97527i	−0.142224	−	0.221020i
$997$	7.20259	−	40.8479i	0.228108	−	1.29367i	−0.628545	−	0.777773i	$-0.716349\pi$
$997$	7.20259	−	40.8479i	0.228108	−	1.29367i	0.856653	−	0.515893i	$-0.172540\pi$
$998$	25.4072	+	21.3192i	0.804251	+	0.674847i
$999$	5.66732	+	7.18061i	0.179306	+	0.227184i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	342.2.w.a.139.1	yes	54
9.7	even	3		342.2.v.a.25.2	✓	54
19.16	even	9		342.2.v.a.301.2	yes	54
171.16	even	9	inner	342.2.w.a.187.1	yes	54

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
342.2.v.a.25.2	✓	54	9.7	even	3
342.2.v.a.301.2	yes	54	19.16	even	9
342.2.w.a.139.1	yes	54	1.1	even	1	trivial
342.2.w.a.187.1	yes	54	171.16	even	9	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 342 = 2 \cdot 3^{2} \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	342.w (of order \(9\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(0.939693 + 0.342020i) q^{2} +(-1.65424 - 0.513314i) q^{3} +(0.766044 + 0.642788i) q^{4} +(-1.17751 - 0.428579i) q^{5} +(-1.37891 - 1.04814i) q^{6} +2.38962 q^{7} +(0.500000 + 0.866025i) q^{8} +(2.47302 + 1.69829i) q^{9} +O(q^{10})\)	\(q+(0.939693 + 0.342020i) q^{2} +(-1.65424 - 0.513314i) q^{3} +(0.766044 + 0.642788i) q^{4} +(-1.17751 - 0.428579i) q^{5} +(-1.37891 - 1.04814i) q^{6} +2.38962 q^{7} +(0.500000 + 0.866025i) q^{8} +(2.47302 + 1.69829i) q^{9} +(-0.959915 - 0.805465i) q^{10} +(3.27716 - 5.67621i) q^{11} +(-0.937270 - 1.45655i) q^{12} +(-0.330390 + 1.87374i) q^{13} +(2.24551 + 0.817299i) q^{14} +(1.72789 + 1.31340i) q^{15} +(0.173648 + 0.984808i) q^{16} +(3.25804 - 2.73382i) q^{17} +(1.74303 + 2.44169i) q^{18} +(1.18666 + 4.19426i) q^{19} +(-0.626540 - 1.08520i) q^{20} +(-3.95301 - 1.22663i) q^{21} +(5.02090 - 4.21304i) q^{22} +(5.89669 + 4.94791i) q^{23} +(-0.382577 - 1.68927i) q^{24} +(-2.62737 - 2.20463i) q^{25} +(-0.951321 + 1.64774i) q^{26} +(-3.21921 - 4.07881i) q^{27} +(1.83056 + 1.53602i) q^{28} +(1.53888 - 8.72741i) q^{29} +(1.17447 + 1.82517i) q^{30} +(-0.610532 - 1.05747i) q^{31} +(-0.173648 + 0.984808i) q^{32} +(-8.33488 + 7.70760i) q^{33} +(3.99658 - 1.45464i) q^{34} +(-2.81381 - 1.02414i) q^{35} +(0.802804 + 2.89059i) q^{36} -1.76047 q^{37} +(-0.319425 + 4.34718i) q^{38} +(1.50836 - 2.93002i) q^{39} +(-0.217595 - 1.23404i) q^{40} +(-9.39844 + 7.88623i) q^{41} +(-3.29508 - 2.50466i) q^{42} +(-2.76378 + 2.31909i) q^{43} +(6.15905 - 2.24171i) q^{44} +(-2.18416 - 3.05964i) q^{45} +(3.84879 + 6.66630i) q^{46} +(-1.35947 + 7.70996i) q^{47} +(0.218260 - 1.71824i) q^{48} -1.28970 q^{49} +(-1.71489 - 2.97028i) q^{50} +(-6.79289 + 2.85000i) q^{51} +(-1.45751 + 1.22299i) q^{52} +(1.16888 - 6.62904i) q^{53} +(-1.63003 - 4.93386i) q^{54} +(-6.29159 + 5.27927i) q^{55} +(1.19481 + 2.06947i) q^{56} +(0.189949 - 7.54744i) q^{57} +(4.43102 - 7.67475i) q^{58} +(0.784314 + 4.44806i) q^{59} +(0.479400 + 2.11679i) q^{60} +(3.35232 - 1.22014i) q^{61} +(-0.212036 - 1.20251i) q^{62} +(5.90958 + 4.05827i) q^{63} +(-0.500000 + 0.866025i) q^{64} +(1.19208 - 2.06475i) q^{65} +(-10.4684 + 4.39207i) q^{66} +(-9.14376 + 3.32806i) q^{67} +4.25307 q^{68} +(-7.21470 - 11.2119i) q^{69} +(-2.29384 - 1.92476i) q^{70} +(-1.68512 - 9.55676i) q^{71} +(-0.234251 + 2.99084i) q^{72} +(1.36776 + 0.497825i) q^{73} +(-1.65430 - 0.602115i) q^{74} +(3.21464 + 4.99564i) q^{75} +(-1.78698 + 3.97576i) q^{76} +(7.83118 - 13.5640i) q^{77} +(2.41952 - 2.23743i) q^{78} +(1.45080 + 8.22790i) q^{79} +(0.217595 - 1.23404i) q^{80} +(3.23164 + 8.39979i) q^{81} +(-11.5289 + 4.19618i) q^{82} +4.78891 q^{83} +(-2.23972 - 3.48059i) q^{84} +(-5.00804 + 1.82278i) q^{85} +(-3.39028 + 1.23396i) q^{86} +(-7.02557 + 13.6473i) q^{87} +6.55432 q^{88} +(-11.0942 + 4.03795i) q^{89} +(-1.00598 - 3.62214i) q^{90} +(-0.789508 + 4.47752i) q^{91} +(1.33667 + 7.58063i) q^{92} +(0.467151 + 2.06271i) q^{93} +(-3.91445 + 6.78003i) q^{94} +(0.400265 - 5.44737i) q^{95} +(0.792771 - 1.53997i) q^{96} +(9.86949 + 3.59220i) q^{97} +(-1.21193 - 0.441105i) q^{98} +(17.7443 - 8.47181i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 54 q - 24 q^{7} + 27 q^{8}+O(q^{10}) \) 54 * q - 24 * q^7 + 27 * q^8	\( 54 q - 24 q^{7} + 27 q^{8} - 3 q^{13} + 3 q^{14} + 9 q^{17} + 6 q^{18} + 15 q^{19} + 3 q^{22} - 12 q^{23} - 6 q^{25} - 27 q^{27} - 3 q^{28} + 9 q^{29} - 57 q^{33} + 18 q^{34} - 18 q^{35} - 6 q^{37} - 3 q^{38} - 6 q^{39} - 3 q^{41} + 6 q^{43} + 6 q^{44} + 54 q^{45} - 18 q^{47} + 6 q^{49} - 3 q^{50} - 15 q^{51} - 3 q^{52} - 24 q^{53} - 54 q^{54} - 36 q^{55} - 12 q^{56} + 12 q^{57} + 18 q^{58} + 69 q^{59} - 27 q^{60} + 84 q^{61} - 15 q^{62} + 39 q^{63} - 27 q^{64} + 24 q^{65} + 21 q^{66} - 30 q^{67} - 6 q^{68} + 42 q^{69} + 18 q^{70} - 60 q^{71} - 45 q^{73} + 3 q^{74} - 9 q^{78} - 18 q^{79} - 36 q^{81} + 3 q^{82} - 24 q^{83} - 21 q^{84} - 72 q^{85} + 3 q^{86} + 66 q^{87} + 9 q^{89} - 15 q^{91} + 6 q^{92} - 3 q^{93} + 6 q^{94} - 30 q^{95} - 78 q^{97} + 12 q^{98} - 51 q^{99}+O(q^{100}) \) 54 * q - 24 * q^7 + 27 * q^8 - 3 * q^13 + 3 * q^14 + 9 * q^17 + 6 * q^18 + 15 * q^19 + 3 * q^22 - 12 * q^23 - 6 * q^25 - 27 * q^27 - 3 * q^28 + 9 * q^29 - 57 * q^33 + 18 * q^34 - 18 * q^35 - 6 * q^37 - 3 * q^38 - 6 * q^39 - 3 * q^41 + 6 * q^43 + 6 * q^44 + 54 * q^45 - 18 * q^47 + 6 * q^49 - 3 * q^50 - 15 * q^51 - 3 * q^52 - 24 * q^53 - 54 * q^54 - 36 * q^55 - 12 * q^56 + 12 * q^57 + 18 * q^58 + 69 * q^59 - 27 * q^60 + 84 * q^61 - 15 * q^62 + 39 * q^63 - 27 * q^64 + 24 * q^65 + 21 * q^66 - 30 * q^67 - 6 * q^68 + 42 * q^69 + 18 * q^70 - 60 * q^71 - 45 * q^73 + 3 * q^74 - 9 * q^78 - 18 * q^79 - 36 * q^81 + 3 * q^82 - 24 * q^83 - 21 * q^84 - 72 * q^85 + 3 * q^86 + 66 * q^87 + 9 * q^89 - 15 * q^91 + 6 * q^92 - 3 * q^93 + 6 * q^94 - 30 * q^95 - 78 * q^97 + 12 * q^98 - 51 * q^99

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