LMFDB - Embedded newform 360.2.bk.a.229.4

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [360,2,Mod(229,360)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(360, base_ring=CyclotomicField(6))

chi = DirichletCharacter(H, H._module([0, 3, 2, 3]))

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

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

chi := DirichletCharacter("360.229");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 360 = 2^{3} \cdot 3^{2} \cdot 5 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	360.bk (of order $6$, degree $2$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$2.87461447277$
Analytic rank:	$0$
Dimension:	$136$
Relative dimension:	$68$ over $\Q(\zeta_{6})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			229.4
Character	$\chi$	$=$	360.229
Dual form			360.2.bk.a.349.4

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.39375 + 0.239699i) q^{2} +(1.69556 + 0.353674i) q^{3} +(1.88509 - 0.668161i) q^{4} +(0.971012 - 2.01423i) q^{5} +(-2.44796 - 0.0865103i) q^{6} +(-1.11197 + 0.641993i) q^{7} +(-2.46719 + 1.38310i) q^{8} +(2.74983 + 1.19935i) q^{9} +O(q^{10})$	\(q+(-1.39375 + 0.239699i) q^{2} +(1.69556 + 0.353674i) q^{3} +(1.88509 - 0.668161i) q^{4} +(0.971012 - 2.01423i) q^{5} +(-2.44796 - 0.0865103i) q^{6} +(-1.11197 + 0.641993i) q^{7} +(-2.46719 + 1.38310i) q^{8} +(2.74983 + 1.19935i) q^{9} +(-0.870541 + 3.04009i) q^{10} +(4.62344 - 2.66934i) q^{11} +(3.43259 - 0.466199i) q^{12} +(-1.91747 + 3.32115i) q^{13} +(1.39592 - 1.16132i) q^{14} +(2.35879 - 3.07183i) q^{15} +(3.10712 - 2.51909i) q^{16} -6.10514i q^{17} +(-4.12006 - 1.01246i) q^{18} +3.08486i q^{19} +(0.484612 - 4.44580i) q^{20} +(-2.11246 + 0.695264i) q^{21} +(-5.80409 + 4.82863i) q^{22} +(0.630568 + 0.364059i) q^{23} +(-4.67243 + 1.47255i) q^{24} +(-3.11427 - 3.91169i) q^{25} +(1.87640 - 5.08848i) q^{26} +(4.23832 + 3.00610i) q^{27} +(-1.66720 + 1.95319i) q^{28} +(-4.66809 + 2.69512i) q^{29} +(-2.55125 + 4.84676i) q^{30} +(2.86491 - 4.96217i) q^{31} +(-3.72674 + 4.25575i) q^{32} +(8.78338 - 2.89084i) q^{33} +(1.46339 + 8.50905i) q^{34} +(0.213393 + 2.86314i) q^{35} +(5.98503 + 0.423548i) q^{36} +7.72327 q^{37} +(-0.739437 - 4.29953i) q^{38} +(-4.42578 + 4.95305i) q^{39} +(0.390224 + 6.31251i) q^{40} +(-0.980656 + 1.69855i) q^{41} +(2.77759 - 1.47538i) q^{42} +(0.937253 + 1.62337i) q^{43} +(6.93204 - 8.12115i) q^{44} +(5.08588 - 4.37422i) q^{45} +(-0.966120 - 0.356261i) q^{46} +(2.29933 - 1.32752i) q^{47} +(6.15924 - 3.17235i) q^{48} +(-2.67569 + 4.63443i) q^{49} +(5.27815 + 4.70544i) q^{50} +(2.15923 - 10.3516i) q^{51} +(-1.39553 + 7.54184i) q^{52} -4.96320 q^{53} +(-6.62772 - 3.17385i) q^{54} +(-0.887267 - 11.9046i) q^{55} +(1.85549 - 3.12188i) q^{56} +(-1.09103 + 5.23056i) q^{57} +(5.86014 - 4.87526i) q^{58} +(9.17674 + 5.29819i) q^{59} +(2.39405 - 7.36672i) q^{60} +(-7.65688 + 4.42070i) q^{61} +(-2.80355 + 7.60276i) q^{62} +(-3.82769 + 0.431740i) q^{63} +(4.17405 - 6.82476i) q^{64} +(4.82769 + 7.08711i) q^{65} +(-11.5489 + 6.13447i) q^{66} +(-2.48015 + 4.29575i) q^{67} +(-4.07922 - 11.5087i) q^{68} +(0.940407 + 0.840298i) q^{69} +(-0.983708 - 3.93936i) q^{70} -12.4176 q^{71} +(-8.44317 + 0.844284i) q^{72} +2.11423i q^{73} +(-10.7643 + 1.85126i) q^{74} +(-3.89697 - 7.73393i) q^{75} +(2.06118 + 5.81524i) q^{76} +(-3.42740 + 5.93643i) q^{77} +(4.98120 - 7.96417i) q^{78} +(-2.49122 - 4.31491i) q^{79} +(-2.05698 - 8.70453i) q^{80} +(6.12313 + 6.59600i) q^{81} +(0.959652 - 2.60241i) q^{82} +(-1.33632 - 2.31458i) q^{83} +(-3.51762 + 2.72210i) q^{84} +(-12.2972 - 5.92816i) q^{85} +(-1.69542 - 2.03792i) q^{86} +(-8.86820 + 2.91875i) q^{87} +(-7.71492 + 12.9805i) q^{88} -15.6243 q^{89} +(-6.03997 + 7.31566i) q^{90} -4.92401i q^{91} +(1.43193 + 0.264962i) q^{92} +(6.61261 - 7.40041i) q^{93} +(-2.88650 + 2.40138i) q^{94} +(6.21363 + 2.99544i) q^{95} +(-7.82404 + 5.89783i) q^{96} +(-14.1300 + 8.15795i) q^{97} +(2.61838 - 7.10060i) q^{98} +(15.9151 - 1.79513i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 136 q - 2 q^{4} - 8 q^{9}+O(q^{10}) $ 136 * q - 2 * q^4 - 8 * q^9	$ 136 q - 2 q^{4} - 8 q^{9} - 10 q^{14} + 2 q^{15} - 2 q^{16} - 2 q^{20} - 38 q^{24} - 2 q^{25} + 16 q^{26} - 12 q^{30} - 4 q^{31} + 8 q^{34} - 24 q^{36} + 4 q^{39} - 6 q^{40} - 4 q^{41} - 56 q^{44} - 28 q^{46} + 40 q^{49} - 12 q^{50} + 10 q^{54} - 28 q^{55} + 26 q^{56} - 58 q^{60} - 20 q^{64} + 18 q^{65} + 16 q^{66} - 6 q^{70} - 128 q^{71} + 36 q^{74} + 12 q^{76} - 4 q^{79} - 36 q^{80} - 16 q^{81} - 110 q^{84} + 44 q^{86} - 32 q^{89} + 32 q^{90} - 34 q^{94} + 8 q^{95} - 2 q^{96}+O(q^{100}) $ 136 * q - 2 * q^4 - 8 * q^9 - 10 * q^14 + 2 * q^15 - 2 * q^16 - 2 * q^20 - 38 * q^24 - 2 * q^25 + 16 * q^26 - 12 * q^30 - 4 * q^31 + 8 * q^34 - 24 * q^36 + 4 * q^39 - 6 * q^40 - 4 * q^41 - 56 * q^44 - 28 * q^46 + 40 * q^49 - 12 * q^50 + 10 * q^54 - 28 * q^55 + 26 * q^56 - 58 * q^60 - 20 * q^64 + 18 * q^65 + 16 * q^66 - 6 * q^70 - 128 * q^71 + 36 * q^74 + 12 * q^76 - 4 * q^79 - 36 * q^80 - 16 * q^81 - 110 * q^84 + 44 * q^86 - 32 * q^89 + 32 * q^90 - 34 * q^94 + 8 * q^95 - 2 * q^96

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/360\mathbb{Z}\right)^\times$.

$n$	$181$	$217$	$271$	$281$
$\chi(n)$	$-1$	$-1$	$1$	$e\left(\frac{1}{3}\right)$

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 $

$2$	−1.39375	+	0.239699i	−0.985531	+	0.169493i
$2$	−1.39375	+	0.239699i	−0.985531	+	0.169493i
$3$	1.69556	+	0.353674i	0.978931	+	0.204193i
$3$	1.69556	+	0.353674i	0.978931	+	0.204193i
$4$	1.88509	−	0.668161i	0.942545	−	0.334081i
$5$	0.971012	−	2.01423i	0.434250	−	0.900793i
$5$	0.971012	−	2.01423i	0.434250	−	0.900793i
$6$	−2.44796	−	0.0865103i	−0.999376	−	0.0353177i
$7$	−1.11197	+	0.641993i	−0.420283	+	0.242651i	−0.695199	−	0.718818i	$-0.744684\pi$
$7$	−1.11197	+	0.641993i	−0.420283	+	0.242651i	0.274915	+	0.961468i	$0.411350\pi$
$8$	−2.46719	+	1.38310i	−0.872283	+	0.489001i
$9$	2.74983	+	1.19935i	0.916610	+	0.399783i
$10$	−0.870541	+	3.04009i	−0.275289	+	0.961361i
$11$	4.62344	−	2.66934i	1.39402	−	0.804837i	0.400262	−	0.916401i	$-0.368919\pi$
$11$	4.62344	−	2.66934i	1.39402	−	0.804837i	0.993757	+	0.111564i	$0.0355859\pi$
$12$	3.43259	−	0.466199i	0.990903	−	0.134580i
$13$	−1.91747	+	3.32115i	−0.531810	+	0.921122i	0.467501	+	0.883993i	$0.345155\pi$
$13$	−1.91747	+	3.32115i	−0.531810	+	0.921122i	−0.999310	+	0.0371290i	$0.988179\pi$
$14$	1.39592	−	1.16132i	0.373075	−	0.310375i
$15$	2.35879	−	3.07183i	0.609036	−	0.793142i
$16$	3.10712	−	2.51909i	0.776780	−	0.629772i
$17$		−	6.10514i		−	1.48071i	−0.672214	−	0.740357i	$-0.734657\pi$
$17$		−	6.10514i		−	1.48071i	0.672214	−	0.740357i	$-0.265343\pi$
$18$	−4.12006	−	1.01246i	−0.971108	−	0.238640i
$19$			3.08486i			0.707716i	0.935299	+	0.353858i	$0.115130\pi$
$19$			3.08486i			0.707716i	−0.935299	+	0.353858i	$0.884870\pi$
$20$	0.484612	−	4.44580i	0.108362	−	0.994111i
$21$	−2.11246	+	0.695264i	−0.460976	+	0.151719i
$22$	−5.80409	+	4.82863i	−1.23744	+	1.02947i
$23$	0.630568	+	0.364059i	0.131483	+	0.0759115i	0.564299	−	0.825571i	$-0.309147\pi$
$23$	0.630568	+	0.364059i	0.131483	+	0.0759115i	−0.432816	+	0.901482i	$0.642480\pi$
$24$	−4.67243	+	1.47255i	−0.953755	+	0.300584i
$25$	−3.11427	−	3.91169i	−0.622854	−	0.782338i
$26$	1.87640	−	5.08848i	0.367992	−	0.997932i
$27$	4.23832	+	3.00610i	0.815665	+	0.578525i
$28$	−1.66720	+	1.95319i	−0.315071	+	0.369118i
$29$	−4.66809	+	2.69512i	−0.866842	+	0.500471i	−0.866297	−	0.499529i	$-0.833507\pi$
$29$	−4.66809	+	2.69512i	−0.866842	+	0.500471i	−0.000544291		1.00000i	$0.500173\pi$
$30$	−2.55125	+	4.84676i	−0.465793	+	0.884894i
$31$	2.86491	−	4.96217i	0.514553	−	0.891233i	−0.485304	−	0.874346i	$-0.661291\pi$
$31$	2.86491	−	4.96217i	0.514553	−	0.891233i	0.999857	−	0.0168872i	$-0.00537562\pi$
$32$	−3.72674	+	4.25575i	−0.658800	+	0.752318i
$33$	8.78338	−	2.89084i	1.52899	−	0.503230i
$34$	1.46339	+	8.50905i	0.250970	+	1.45929i
$35$	0.213393	+	2.86314i	0.0360700	+	0.483959i
$36$	5.98503	+	0.423548i	0.997505	+	0.0705913i
$37$	7.72327			1.26970			0.634849	−	0.772636i	$-0.281062\pi$
$37$	7.72327			1.26970			0.634849	+	0.772636i	$0.281062\pi$
$38$	−0.739437	−	4.29953i	−0.119953	−	0.697476i
$39$	−4.42578	+	4.95305i	−0.708692	+	0.793122i
$40$	0.390224	+	6.31251i	0.0616999	+	0.998095i
$41$	−0.980656	+	1.69855i	−0.153153	+	0.265268i	−0.932385	−	0.361467i	$-0.882276\pi$
$41$	−0.980656	+	1.69855i	−0.153153	+	0.265268i	0.779232	+	0.626735i	$0.215609\pi$
$42$	2.77759	−	1.47538i	0.428591	−	0.227656i
$43$	0.937253	+	1.62337i	0.142930	+	0.247562i	0.928599	−	0.371086i	$-0.121014\pi$
$43$	0.937253	+	1.62337i	0.142930	+	0.247562i	−0.785669	+	0.618647i	$0.787681\pi$
$44$	6.93204	−	8.12115i	1.04504	−	1.22431i
$45$	5.08588	−	4.37422i	0.758159	−	0.652070i
$46$	−0.966120	−	0.356261i	−0.142447	−	0.0525279i
$47$	2.29933	−	1.32752i	0.335392	−	0.193639i	−0.322840	−	0.946453i	$-0.604638\pi$
$47$	2.29933	−	1.32752i	0.335392	−	0.193639i	0.658233	+	0.752815i	$0.271304\pi$
$48$	6.15924	−	3.17235i	0.889009	−	0.457889i
$49$	−2.67569	+	4.63443i	−0.382241	+	0.662061i
$50$	5.27815	+	4.70544i	0.746443	+	0.665449i
$51$	2.15923	−	10.3516i	0.302352	−	1.44952i
$52$	−1.39553	+	7.54184i	−0.193526	+	1.04587i
$53$	−4.96320			−0.681748			−0.340874	−	0.940109i	$-0.610723\pi$
$53$	−4.96320			−0.681748			−0.340874	+	0.940109i	$0.610723\pi$
$54$	−6.62772	−	3.17385i	−0.901919	−	0.431906i
$55$	−0.887267	−	11.9046i	−0.119639	−	1.60522i
$56$	1.85549	−	3.12188i	0.247950	−	0.417179i
$57$	−1.09103	+	5.23056i	−0.144511	+	0.692804i
$58$	5.86014	−	4.87526i	0.769474	−	0.640153i
$59$	9.17674	+	5.29819i	1.19471	+	0.689766i	0.959371	−	0.282148i	$-0.0910468\pi$
$59$	9.17674	+	5.29819i	1.19471	+	0.689766i	0.235339	+	0.971913i	$0.424380\pi$
$60$	2.39405	−	7.36672i	0.309070	−	0.951039i
$61$	−7.65688	+	4.42070i	−0.980363	+	0.566013i	−0.902380	−	0.430942i	$-0.858182\pi$
$61$	−7.65688	+	4.42070i	−0.980363	+	0.566013i	−0.0779836	+	0.996955i	$0.524848\pi$
$62$	−2.80355	+	7.60276i	−0.356051	+	0.965551i
$63$	−3.82769	+	0.431740i	−0.482243	+	0.0543941i
$64$	4.17405	−	6.82476i	0.521756	−	0.853095i
$65$	4.82769	+	7.08711i	0.598801	+	0.879047i
$66$	−11.5489	+	6.13447i	−1.42157	+	0.755102i
$67$	−2.48015	+	4.29575i	−0.302999	+	0.524810i	−0.976814	−	0.214091i	$-0.931321\pi$
$67$	−2.48015	+	4.29575i	−0.302999	+	0.524810i	0.673815	+	0.738900i	$0.264655\pi$
$68$	−4.07922	−	11.5087i	−0.494678	−	1.39564i
$69$	0.940407	+	0.840298i	0.113212	+	0.101160i
$70$	−0.983708	−	3.93936i	−0.117576	−	0.470843i
$71$	−12.4176			−1.47370			−0.736852	−	0.676054i	$-0.763688\pi$
$71$	−12.4176			−1.47370			−0.736852	+	0.676054i	$0.763688\pi$
$72$	−8.44317	+	0.844284i	−0.995038	+	0.0994998i
$73$			2.11423i			0.247452i	0.992316	+	0.123726i	$0.0394844\pi$
$73$			2.11423i			0.247452i	−0.992316	+	0.123726i	$0.960516\pi$
$74$	−10.7643	+	1.85126i	−1.25133	+	0.215204i
$75$	−3.89697	−	7.73393i	−0.449983	−	0.893037i
$76$	2.06118	+	5.81524i	0.236434	+	0.667053i
$77$	−3.42740	+	5.93643i	−0.390589	+	0.676519i
$78$	4.98120	−	7.96417i	0.564010	−	0.901765i
$79$	−2.49122	−	4.31491i	−0.280284	−	0.485466i	0.691171	−	0.722691i	$-0.257095\pi$
$79$	−2.49122	−	4.31491i	−0.280284	−	0.485466i	−0.971455	+	0.237226i	$0.923762\pi$
$80$	−2.05698	−	8.70453i	−0.229977	−	0.973196i
$81$	6.12313	+	6.59600i	0.680348	+	0.732889i
$82$	0.959652	−	2.60241i	0.105976	−	0.287389i
$83$	−1.33632	−	2.31458i	−0.146681	−	0.254058i	0.783318	−	0.621621i	$-0.213526\pi$
$83$	−1.33632	−	2.31458i	−0.146681	−	0.254058i	−0.929999	+	0.367563i	$0.880192\pi$
$84$	−3.51762	+	2.72210i	−0.383804	+	0.297005i
$85$	−12.2972	−	5.92816i	−1.33382	−	0.642999i
$86$	−1.69542	−	2.03792i	−0.182822	−	0.219754i
$87$	−8.86820	+	2.91875i	−0.950771	+	0.312923i
$88$	−7.71492	+	12.9805i	−0.822413	+	1.38372i
$89$	−15.6243			−1.65617			−0.828084	−	0.560604i	$-0.810569\pi$
$89$	−15.6243			−1.65617			−0.828084	+	0.560604i	$0.810569\pi$
$90$	−6.03997	+	7.31566i	−0.636668	+	0.771138i
$91$		−	4.92401i		−	0.516176i
$92$	1.43193	+	0.264962i	0.149289	+	0.0276242i
$93$	6.61261	−	7.40041i	0.685696	−	0.767386i
$94$	−2.88650	+	2.40138i	−0.297719	+	0.247684i
$95$	6.21363	+	2.99544i	0.637505	+	0.307325i
$96$	−7.82404	+	5.89783i	−0.798538	+	0.601945i
$97$	−14.1300	+	8.15795i	−1.43468	+	0.828314i	−0.997473	−	0.0710463i	$-0.977366\pi$
$97$	−14.1300	+	8.15795i	−1.43468	+	0.828314i	−0.437209	+	0.899360i	$0.644033\pi$
$98$	2.61838	−	7.10060i	0.264496	−	0.717269i
$99$	15.9151	−	1.79513i	1.59953	−	0.180417i
$100$	−8.48432	−	5.29305i	−0.848432	−	0.529305i
$101$	−4.89058	+	2.82358i	−0.486631	+	0.280957i	−0.723176	−	0.690664i	$-0.757318\pi$
$101$	−4.89058	+	2.82358i	−0.486631	+	0.280957i	0.236545	+	0.971621i	$0.423985\pi$
$102$	−0.528157	+	14.9451i	−0.0522953	+	1.47979i
$103$	13.6531	+	7.88265i	1.34528	+	0.776700i	0.987577	−	0.157133i	$-0.0502252\pi$
$103$	13.6531	+	7.88265i	1.34528	+	0.776700i	0.357707	+	0.933834i	$0.383559\pi$
$104$	0.137257	−	10.8460i	0.0134592	−	1.06353i
$105$	−0.650797	+	4.93009i	−0.0635113	+	0.481128i
$106$	6.91747	−	1.18967i	0.671884	−	0.115551i
$107$	4.20562			0.406573			0.203286	−	0.979119i	$-0.434838\pi$
$107$	4.20562			0.406573			0.203286	+	0.979119i	$0.434838\pi$
$108$	9.99817	+	2.83490i	0.962074	+	0.272788i
$109$		−	2.25751i		−	0.216231i	−0.994138	−	0.108115i	$-0.965518\pi$
$109$		−	2.25751i		−	0.216231i	0.994138	−	0.108115i	$-0.0344816\pi$
$110$	4.09016	+	16.3794i	0.389981	+	1.56172i
$111$	13.0952	+	2.73152i	1.24295	+	0.259264i
$112$	−1.83777	+	4.79589i	−0.173653	+	0.453169i
$113$	−13.4147	−	7.74497i	−1.26195	−	0.728585i	−0.288496	−	0.957481i	$-0.593155\pi$
$113$	−13.4147	−	7.74497i	−1.26195	−	0.728585i	−0.973451	+	0.228896i	$0.926488\pi$
$114$	0.266872	−	7.55162i	0.0249949	−	0.707274i
$115$	1.34559	−	0.916606i	0.125477	−	0.0854740i
$116$	−6.99898	+	8.19957i	−0.649839	+	0.761311i
$117$	−9.25593	+	6.83289i	−0.855711	+	0.631701i
$118$	−14.0601	−	5.18471i	−1.29433	−	0.477292i
$119$	3.91946	+	6.78870i	0.359296	+	0.622319i
$120$	−1.57092	+	10.8412i	−0.143405	+	0.989664i
$121$	8.75078	−	15.1568i	0.795526	−	1.37789i
$122$	9.61216	−	7.99671i	0.870244	−	0.723988i
$123$	−2.26349	+	2.53315i	−0.204092	+	0.228406i
$124$	2.08508	−	11.2684i	0.187246	−	1.01193i
$125$	−10.9030	+	2.47457i	−0.975198	+	0.221333i
$126$	5.23136	−	1.51923i	0.466047	−	0.135344i
$127$		−	17.1156i		−	1.51876i	−0.650647	−	0.759380i	$-0.725502\pi$
$127$		−	17.1156i		−	1.51876i	0.650647	−	0.759380i	$-0.274498\pi$
$128$	−4.18170	+	10.5125i	−0.369613	+	0.929186i
$129$	1.01502	+	3.08400i	0.0893679	+	0.271531i
$130$	−8.42737	−	8.72048i	−0.739130	−	0.764836i
$131$	−7.93849	−	4.58329i	−0.693589	−	0.400444i	0.111366	−	0.993779i	$-0.464477\pi$
$131$	−7.93849	−	4.58329i	−0.693589	−	0.400444i	−0.804955	+	0.593336i	$0.797811\pi$
$132$	14.6259	−	11.3182i	1.27302	−	0.985123i
$133$	−1.98046	−	3.43026i	−0.171728	−	0.297441i
$134$	2.42703	−	6.58170i	0.209664	−	0.568573i
$135$	10.1705	−	5.61800i	0.875333	−	0.483520i
$136$	8.44404	+	15.0625i	0.724071	+	1.29160i
$137$	−2.40534	+	1.38872i	−0.205502	+	0.118647i	−0.599219	−	0.800585i	$-0.704522\pi$
$137$	−2.40534	+	1.38872i	−0.205502	+	0.118647i	0.393717	+	0.919232i	$0.371189\pi$
$138$	−1.51211	−	0.945752i	−0.128720	−	0.0805078i
$139$	−9.62292	−	5.55579i	−0.816205	−	0.471236i	0.0329009	−	0.999459i	$-0.489525\pi$
$139$	−9.62292	−	5.55579i	−0.816205	−	0.471236i	−0.849106	+	0.528222i	$0.822859\pi$
$140$	2.31530	+	5.25469i	0.195679	+	0.444103i
$141$	4.36816	−	1.43767i	0.367866	−	0.121074i
$142$	17.3071	−	2.97649i	1.45238	−	0.249782i
$143$			20.4735i			1.71208i
$144$	11.5653	−	3.20054i	0.963776	−	0.266712i
$145$	0.895835	+	12.0196i	0.0743951	+	0.998174i
$146$	−0.506779	−	2.94672i	−0.0419413	−	0.243872i
$147$	−6.17586	+	6.91162i	−0.509376	+	0.570061i
$148$	14.5591	−	5.16039i	1.19675	−	0.424181i
$149$	10.2690	+	5.92879i	0.841267	+	0.485706i	0.857695	−	0.514159i	$-0.171896\pi$
$149$	10.2690	+	5.92879i	0.841267	+	0.485706i	−0.0164278	+	0.999865i	$0.505229\pi$
$150$	7.28522	+	9.84508i	0.594835	+	0.803847i
$151$	−1.65358	−	2.86408i	−0.134566	−	0.233076i	0.790865	−	0.611990i	$-0.209631\pi$
$151$	−1.65358	−	2.86408i	−0.134566	−	0.233076i	−0.925432	+	0.378914i	$0.876297\pi$
$152$	−4.26668	−	7.61094i	−0.346074	−	0.617328i
$153$	7.32218	−	16.7881i	0.591963	−	1.35724i
$154$	3.35399	−	9.09546i	0.270272	−	0.732933i
$155$	−7.21311	−	10.5889i	−0.579371	−	0.850523i
$156$	−5.03356	+	12.2941i	−0.403007	+	0.984313i
$157$	−1.11513	+	1.93146i	−0.0889972	+	0.154148i	−0.907087	−	0.420942i	$-0.861700\pi$
$157$	−1.11513	+	1.93146i	−0.0889972	+	0.154148i	0.818090	+	0.575090i	$0.195033\pi$
$158$	4.50642	+	5.41678i	0.358511	+	0.430936i
$159$	−8.41539	−	1.75535i	−0.667384	−	0.139209i
$160$	4.95338	+	11.6389i	0.391599	+	0.920136i
$161$	−0.934893			−0.0736799
$162$	−10.1152	−	7.72549i	−0.794724	−	0.606972i
$163$	−2.73908			−0.214541			−0.107271	−	0.994230i	$-0.534211\pi$
$163$	−2.73908			−0.214541			−0.107271	+	0.994230i	$0.534211\pi$
$164$	−0.713722	+	3.85715i	−0.0557323	+	0.301193i
$165$	2.70595	−	20.4988i	0.210658	−	1.59583i
$166$	2.41730	+	2.90564i	0.187619	+	0.225521i
$167$	10.8725	+	6.27722i	0.841336	+	0.485746i	0.857718	−	0.514120i	$-0.171881\pi$
$167$	10.8725	+	6.27722i	0.841336	+	0.485746i	−0.0163821	+	0.999866i	$0.505215\pi$
$168$	4.25021	−	4.63710i	0.327911	−	0.357760i
$169$	−0.853366	−	1.47807i	−0.0656436	−	0.113698i
$170$	18.5602	+	5.31477i	1.42350	+	0.407624i
$171$	−3.69982	+	8.48284i	−0.282932	+	0.648699i
$172$	2.85148	+	2.43396i	0.217423	+	0.185588i
$173$	−2.59804	−	4.49994i	−0.197525	−	0.342124i	0.750200	−	0.661211i	$-0.229957\pi$
$173$	−2.59804	−	4.49994i	−0.197525	−	0.342124i	−0.947725	+	0.319087i	$0.896624\pi$
$174$	11.6604	−	6.19371i	0.883976	−	0.469544i
$175$	5.97424	+	2.35032i	0.451610	+	0.177667i
$176$	7.64128	−	19.9408i	0.575983	−	1.50310i
$177$	13.6859	+	12.2290i	1.02869	+	0.919185i
$178$	21.7763	−	3.74512i	1.63221	−	0.280708i
$179$			16.4247i			1.22764i	0.789446	+	0.613820i	$0.210368\pi$
$179$			16.4247i			1.22764i	−0.789446	+	0.613820i	$0.789632\pi$
$180$	6.66466	−	11.6440i	0.496754	−	0.867891i
$181$			9.17139i			0.681704i	0.940117	+	0.340852i	$0.110716\pi$
$181$			9.17139i			0.681704i	−0.940117	+	0.340852i	$0.889284\pi$
$182$	1.18028	+	6.86285i	0.0874880	+	0.508708i
$183$	−14.5462	+	4.78752i	−1.07528	+	0.353904i
$184$	−2.05926	−	0.0260603i	−0.151811	−	0.00192119i
$185$	7.49939	−	15.5565i	0.551366	−	1.14373i
$186$	−7.44247	+	11.8994i	−0.545709	+	0.872504i
$187$	−16.2967	−	28.2267i	−1.19173	−	2.06414i
$188$	3.44745	−	4.03882i	0.251431	−	0.294561i
$189$	−6.64276	−	0.621712i	−0.483190	−	0.0452229i
$190$	−9.37826	−	2.68550i	−0.680371	−	0.194826i
$191$	−4.23531	−	7.33577i	−0.306456	−	0.530798i	0.671128	−	0.741341i	$-0.265810\pi$
$191$	−4.23531	−	7.33577i	−0.306456	−	0.530798i	−0.977584	+	0.210543i	$0.932477\pi$
$192$	9.49107	−	10.0955i	0.684959	−	0.728582i
$193$	7.84231	+	4.52776i	0.564502	+	0.325915i	0.754950	−	0.655782i	$-0.227661\pi$
$193$	7.84231	+	4.52776i	0.564502	+	0.325915i	−0.190449	+	0.981697i	$0.560994\pi$
$194$	17.7382	−	14.7571i	1.27353	−	1.05950i
$195$	5.67911	+	13.7240i	0.406689	+	0.982798i
$196$	−1.94737	+	10.5241i	−0.139098	+	0.751722i
$197$	20.0949			1.43171			0.715853	−	0.698251i	$-0.246038\pi$
$197$	20.0949			1.43171			0.715853	+	0.698251i	$0.246038\pi$
$198$	−21.7515	+	6.31681i	−1.54581	+	0.448916i
$199$	−3.37632			−0.239341			−0.119671	−	0.992814i	$-0.538184\pi$
$199$	−3.37632			−0.239341			−0.119671	+	0.992814i	$0.538184\pi$
$200$	13.0938	+	5.34351i	0.925869	+	0.377844i
$201$	−5.72454	+	6.40653i	−0.403778	+	0.451882i
$202$	6.13945	−	5.10763i	0.431970	−	0.359372i
$203$	3.46050	−	5.99376i	0.242879	−	0.420680i
$204$	−2.84621	−	20.9564i	−0.199275	−	1.46724i
$205$	2.46904	+	3.62458i	0.172445	+	0.253152i
$206$	−20.9186	−	7.71382i	−1.45747	−	0.537447i
$207$	1.29732	+	1.75737i	0.0901702	+	0.122146i
$208$	2.40846	+	15.1495i	0.166997	+	1.05043i
$209$	8.23455	+	14.2627i	0.569596	+	0.986569i
$210$	−0.274687	−	7.02732i	−0.0189552	−	0.484931i
$211$	9.78956	+	5.65201i	0.673941	+	0.389100i	0.797568	−	0.603229i	$-0.206119\pi$
$211$	9.78956	+	5.65201i	0.673941	+	0.389100i	−0.123627	+	0.992329i	$0.539453\pi$
$212$	−9.35608	+	3.31622i	−0.642578	+	0.227759i
$213$	−21.0548	−	4.39179i	−1.44265	−	0.300921i
$214$	−5.86159	+	1.00808i	−0.400690	+	0.0689111i
$215$	4.17993	−	0.311535i	0.285069	−	0.0212465i
$216$	−14.6145	−	1.55459i	−0.994390	−	0.105777i
$217$			7.35702i			0.499427i
$218$	0.541123	+	3.14641i	0.0366495	+	0.213102i
$219$	−0.747748	+	3.58480i	−0.0505281	+	0.242238i
$220$	−9.62680	−	21.8485i	−0.649039	−	1.47302i
$221$	20.2761	+	11.7064i	1.36392	+	0.787458i
$222$	−18.9063	−	0.668142i	−1.26891	−	0.0448428i
$223$	−6.22398	+	3.59342i	−0.416788	+	0.240633i	−0.693702	−	0.720262i	$-0.744022\pi$
$223$	−6.22398	+	3.59342i	−0.416788	+	0.240633i	0.276914	+	0.960895i	$0.410688\pi$
$224$	1.41183	−	7.12479i	0.0943321	−	0.476045i
$225$	−3.87224	−	14.4916i	−0.258150	−	0.966105i
$226$	20.5532	+	7.57908i	1.36718	+	0.504153i
$227$	14.3507	+	24.8562i	0.952492	+	1.64977i	0.740005	+	0.672602i	$0.234823\pi$
$227$	14.3507	+	24.8562i	0.952492	+	1.64977i	0.212488	+	0.977164i	$0.431843\pi$
$228$	1.43816	+	10.5891i	0.0952445	+	0.701277i
$229$	18.8340	+	10.8738i	1.24459	+	0.718563i	0.970025	−	0.243005i	$-0.0781333\pi$
$229$	18.8340	+	10.8738i	1.24459	+	0.718563i	0.274564	+	0.961569i	$0.411467\pi$
$230$	−1.65571	+	1.60006i	−0.109174	+	0.105505i
$231$	−7.91092	+	8.85338i	−0.520500	+	0.582510i
$232$	7.78942	−	13.1058i	0.511400	−	0.860439i
$233$		−	21.9989i		−	1.44119i	−0.693354	−	0.720597i	$-0.743868\pi$
$233$		−	21.9989i		−	1.44119i	0.693354	−	0.720597i	$-0.256132\pi$
$234$	11.2626	−	11.7420i	0.736261	−	0.767598i
$235$	−0.441257	−	5.92043i	−0.0287844	−	0.386207i
$236$	20.8390	+	3.85603i	1.35650	+	0.251006i
$237$	−2.69793	−	8.19726i	−0.175249	−	0.532469i
$238$	−7.09000	−	8.52228i	−0.459576	−	0.552417i
$239$	−5.24012	+	9.07616i	−0.338955	+	0.587088i	−0.984237	−	0.176857i	$-0.943407\pi$
$239$	−5.24012	+	9.07616i	−0.338955	+	0.587088i	0.645281	+	0.763945i	$0.276740\pi$
$240$	−0.409158	−	15.4865i	−0.0264110	−	0.999651i
$241$	2.39025	+	4.14003i	0.153970	+	0.266683i	0.932683	−	0.360696i	$-0.117461\pi$
$241$	2.39025	+	4.14003i	0.153970	+	0.266683i	−0.778714	+	0.627379i	$0.784128\pi$
$242$	−8.56336	+	23.2224i	−0.550473	+	1.49279i
$243$	8.04929	+	13.3495i	0.516362	+	0.856370i
$244$	−11.4802	+	13.4495i	−0.734942	+	0.861013i
$245$	6.73670	+	9.88955i	0.430392	+	0.631820i
$246$	2.54755	−	4.07314i	0.162426	−	0.259694i
$247$	−10.2453	−	5.91512i	−0.651892	−	0.376370i
$248$	−0.205078	+	16.2051i	−0.0130225	+	1.02902i
$249$	−1.44721	−	4.39713i	−0.0917130	−	0.278656i
$250$	14.6030	−	6.06239i	0.923574	−	0.383419i
$251$		−	6.15540i		−	0.388526i	−0.980950	−	0.194263i	$-0.937769\pi$
$251$		−	6.15540i		−	0.388526i	0.980950	−	0.194263i	$-0.0622314\pi$
$252$	−6.92706	+	3.37138i	−0.436364	+	0.212377i
$253$	3.88719			0.244386
$254$	4.10258	+	23.8548i	0.257419	+	1.49679i
$255$	−18.7539	−	14.4007i	−1.17442	−	0.901808i
$256$	3.30841	−	15.6542i	0.206776	−	0.978388i
$257$	−6.07399	−	3.50682i	−0.378885	−	0.218749i	0.298448	−	0.954426i	$-0.403531\pi$
$257$	−6.07399	−	3.50682i	−0.378885	−	0.218749i	−0.677333	+	0.735677i	$0.736864\pi$
$258$	−2.15392	−	4.05503i	−0.134097	−	0.252455i
$259$	−8.58801	+	4.95829i	−0.533633	+	0.308093i
$260$	13.8360	+	10.1342i	0.858069	+	0.628493i
$261$	−16.0688	+	1.81247i	−0.994635	+	0.112189i
$262$	12.1629	+	4.48512i	0.751426	+	0.277092i
$263$	−21.7778	+	12.5734i	−1.34287	+	0.775309i	−0.987228	−	0.159312i	$-0.949073\pi$
$263$	−21.7778	+	12.5734i	−1.34287	+	0.775309i	−0.355646	+	0.934621i	$0.615739\pi$
$264$	−17.6719	+	19.2806i	−1.08763	+	1.18664i
$265$	−4.81933	+	9.99705i	−0.296049	+	0.614114i
$266$	3.58250	+	4.30622i	0.219657	+	0.264031i
$267$	−26.4918	−	5.52589i	−1.62127	−	0.338179i
$268$	−1.80506	+	9.75502i	−0.110261	+	0.595883i
$269$		−	30.6864i		−	1.87098i	−0.353347	−	0.935492i	$-0.614957\pi$
$269$		−	30.6864i		−	1.87098i	0.353347	−	0.935492i	$-0.385043\pi$
$270$	−12.8285	+	10.2679i	−0.780715	+	0.624887i
$271$	19.1021			1.16037			0.580184	−	0.814485i	$-0.302980\pi$
$271$	19.1021			1.16037			0.580184	+	0.814485i	$0.302980\pi$
$272$	−15.3794	−	18.9694i	−0.932511	−	1.15019i
$273$	1.74149	−	8.34894i	0.105400	−	0.505301i
$274$	3.01957	−	2.51209i	0.182419	−	0.151761i
$275$	−24.8403	−	9.77239i	−1.49793	−	0.589297i
$276$	2.33420	+	0.955693i	0.140503	+	0.0575260i
$277$	−10.7365	−	18.5962i	−0.645096	−	1.11734i	−0.984279	−	0.176619i	$-0.943484\pi$
$277$	−10.7365	−	18.5962i	−0.645096	−	1.11734i	0.339183	−	0.940720i	$-0.389849\pi$
$278$	14.7437	+	5.43680i	0.884267	+	0.326077i
$279$	13.8294	−	10.2091i	0.827944	−	0.611203i
$280$	−4.48650	−	6.76877i	−0.268120	−	0.404511i
$281$	−12.0765	−	20.9171i	−0.720423	−	1.24781i	−0.960830	−	0.277138i	$-0.910614\pi$
$281$	−12.0765	−	20.9171i	−0.720423	−	1.24781i	0.240407	−	0.970672i	$-0.422719\pi$
$282$	−5.74353	+	3.05080i	−0.342022	+	0.181673i
$283$	3.33572	−	5.77764i	0.198288	−	0.343445i	−0.749685	−	0.661795i	$-0.769795\pi$
$283$	3.33572	−	5.77764i	0.198288	−	0.343445i	0.947974	+	0.318349i	$0.103128\pi$
$284$	−23.4084	+	8.29699i	−1.38903	+	0.492336i
$285$	9.47616	+	7.27653i	0.561319	+	0.431024i
$286$	−4.90748	−	28.5350i	−0.290185	−	1.68731i
$287$		−	2.51830i		−	0.148651i
$288$	−15.3520	+	7.23295i	−0.904626	+	0.426206i
$289$	−20.2727			−1.19251
$290$	−4.12966	−	16.5376i	−0.242502	−	0.971123i
$291$	−26.8434	+	8.83487i	−1.57359	+	0.517909i
$292$	1.41265	+	3.98552i	0.0826689	+	0.233235i
$293$	−4.99527	+	8.65206i	−0.291827	+	0.505459i	−0.974242	−	0.225506i	$-0.927596\pi$
$293$	−4.99527	+	8.65206i	−0.291827	+	0.505459i	0.682415	+	0.730965i	$0.260930\pi$
$294$	6.95091	−	11.1134i	0.405385	−	0.648148i
$295$	19.5825	−	13.3395i	1.14014	−	0.776655i
$296$	−19.0548	+	10.6821i	−1.10754	+	0.620884i
$297$	27.6199	+	2.58501i	1.60267	+	0.149998i
$298$	−15.7335	−	5.80181i	−0.911418	−	0.336090i
$299$	−2.41819	+	1.39614i	−0.139847	+	0.0807410i
$300$	−12.5136	−	11.9753i	−0.722475	−	0.691397i
$301$	−2.08439	−	1.20342i	−0.120142	−	0.0693640i
$302$	2.99119	+	3.59546i	0.172124	+	0.206895i
$303$	−9.29089	+	3.05787i	−0.533747	+	0.175670i
$304$	7.77103	+	9.58504i	0.445699	+	0.549740i
$305$	1.46940	+	19.7153i	0.0841378	+	1.12890i
$306$	−6.18122	+	25.1536i	−0.353357	+	1.43793i
$307$	15.6219			0.891590			0.445795	−	0.895135i	$-0.352921\pi$
$307$	15.6219			0.891590			0.445795	+	0.895135i	$0.352921\pi$
$308$	−2.49446	+	13.4808i	−0.142135	+	0.768138i
$309$	20.3618	+	18.1942i	1.15834	+	1.03503i
$310$	12.5914	+	13.0294i	0.715146	+	0.740019i
$311$	−0.0850335	+	0.147282i	−0.00482181	+	0.00835161i	−0.868426	−	0.495818i	$-0.834868\pi$
$311$	−0.0850335	+	0.147282i	−0.00482181	+	0.00835161i	0.863604	+	0.504170i	$0.168202\pi$
$312$	4.06866	−	18.3414i	0.230342	−	1.03838i
$313$	−3.05145	+	1.76175i	−0.172478	+	0.0995802i	−0.583754	−	0.811931i	$-0.698417\pi$
$313$	−3.05145	+	1.76175i	−0.172478	+	0.0995802i	0.411276	+	0.911511i	$0.365083\pi$
$314$	1.09125	−	2.95928i	0.0615826	−	0.167002i
$315$	−2.84711	+	8.12908i	−0.160416	+	0.458022i
$316$	−7.57922	−	6.46946i	−0.426365	−	0.363936i
$317$	−1.31664	−	2.28049i	−0.0739500	−	0.128085i	0.826679	−	0.562674i	$-0.190227\pi$
$317$	−1.31664	−	2.28049i	−0.0739500	−	0.128085i	−0.900629	+	0.434588i	$0.856894\pi$
$318$	12.1497	+	0.429368i	0.681323	+	0.0240778i
$319$	−14.3884	+	24.9214i	−0.805596	+	1.39533i
$320$	−9.69361	−	15.0344i	−0.541889	−	0.840450i
$321$	7.13087	+	1.48742i	0.398006	+	0.0830195i
$322$	1.30301	−	0.224093i	0.0726139	−	0.0124882i
$323$	18.8335			1.04792
$324$	15.9498	+	8.34282i	0.886102	+	0.463490i
$325$	18.9628	−	2.84243i	1.05187	−	0.157670i
$326$	3.81760	−	0.656553i	0.211437	−	0.0363631i
$327$	0.798423	−	3.82774i	0.0441529	−	0.211675i
$328$	0.0701980	−	5.54698i	0.00387604	−	0.306281i
$329$	−1.70452	+	2.95232i	−0.0939732	+	0.162766i
$330$	1.14212	+	29.2189i	0.0628717	+	1.60845i
$331$	−3.74247	+	2.16072i	−0.205705	+	0.118764i	−0.599314	−	0.800514i	$-0.704560\pi$
$331$	−3.74247	+	2.16072i	−0.205705	+	0.118764i	0.393609	+	0.919278i	$0.371226\pi$
$332$	−4.06560	−	3.47031i	−0.223129	−	0.190458i
$333$	21.2377	+	9.26288i	1.16382	+	0.507603i
$334$	−16.6581	−	6.14277i	−0.911493	−	0.336117i
$335$	6.24439	+	9.16684i	0.341167	+	0.500838i
$336$	−4.81223	+	7.48173i	−0.262529	+	0.408162i
$337$	−0.816281	−	0.471280i	−0.0444657	−	0.0256723i	0.477602	−	0.878576i	$-0.341506\pi$
$337$	−0.816281	−	0.471280i	−0.0444657	−	0.0256723i	−0.522068	+	0.852904i	$0.674839\pi$
$338$	1.54367	+	1.85552i	0.0839648	+	0.100927i
$339$	−20.0062	−	17.8765i	−1.08659	−	0.970916i
$340$	−27.1422	−	2.95862i	−1.47199	−	0.160454i
$341$		−	30.5897i		−	1.65653i
$342$	3.12331	−	12.7098i	0.168889	−	0.687268i
$343$		−	15.8590i		−	0.856306i
$344$	−4.55767	−	2.70884i	−0.245733	−	0.146051i
$345$	2.60570	−	1.07826i	0.140286	−	0.0580515i
$346$	4.69965	+	5.64905i	0.252655	+	0.303695i
$347$	11.1767	−	19.3587i	0.599998	−	1.03923i	−0.392822	−	0.919614i	$-0.628501\pi$
$347$	11.1767	−	19.3587i	0.599998	−	1.03923i	0.992821	−	0.119613i	$-0.0381654\pi$
$348$	−14.7671	+	11.4275i	−0.791602	+	0.612578i
$349$	17.1174	−	9.88271i	0.916271	−	0.529009i	0.0338273	−	0.999428i	$-0.489230\pi$
$349$	17.1174	−	9.88271i	0.916271	−	0.529009i	0.882443	+	0.470419i	$0.155897\pi$
$350$	−8.88998	−	1.84375i	−0.475189	−	0.0985523i
$351$	−18.1106	+	8.31199i	−0.966671	+	0.443661i
$352$	−5.87026	+	29.6241i	−0.312886	+	1.57897i
$353$	11.9397	−	6.89337i	0.635484	−	0.366897i	−0.147389	−	0.989079i	$-0.547087\pi$
$353$	11.9397	−	6.89337i	0.635484	−	0.366897i	0.782873	+	0.622182i	$0.213753\pi$
$354$	−22.0060	−	13.7637i	−1.16960	−	0.731530i
$355$	−12.0577	+	25.0120i	−0.639955	+	1.32750i
$356$	−29.4531	+	10.4395i	−1.56101	+	0.553294i
$357$	4.24468	+	12.8968i	0.224652	+	0.682573i
$358$	−3.93698	−	22.8920i	−0.208076	−	1.20988i
$359$	12.1793			0.642800			0.321400	−	0.946943i	$-0.395847\pi$
$359$	12.1793			0.642800			0.321400	+	0.946943i	$0.395847\pi$
$360$	−6.49784	+	17.8263i	−0.342466	+	0.939530i
$361$	9.48363			0.499139
$362$	−2.19837	−	12.7826i	−0.115544	−	0.671841i
$363$	20.1980	−	22.6043i	1.06012	−	1.18642i
$364$	−3.29003	−	9.28219i	−0.172444	−	0.486519i
$365$	4.25856	+	2.05294i	0.222903	+	0.107456i
$366$	19.1262	−	10.1593i	0.999742	−	0.531036i
$367$	11.3797	−	6.57010i	0.594018	−	0.342956i	−0.172667	−	0.984980i	$-0.555238\pi$
$367$	11.3797	−	6.57010i	0.594018	−	0.342956i	0.766685	+	0.642024i	$0.221905\pi$
$368$	2.87635	−	0.457281i	0.149940	−	0.0238374i
$369$	−4.73378	+	3.49457i	−0.246431	+	0.181920i
$370$	−6.72342	+	23.4795i	−0.349534	+	1.22064i
$371$	5.51891	−	3.18634i	0.286527	−	0.165427i
$372$	7.52070	−	18.3687i	0.389930	−	0.952374i
$373$	1.06482	−	1.84433i	0.0551345	−	0.0954957i	−0.837141	−	0.546987i	$-0.815775\pi$
$373$	1.06482	−	1.84433i	0.0551345	−	0.0954957i	0.892275	+	0.451492i	$0.149108\pi$
$374$	29.4795	+	35.4348i	1.52435	+	1.83229i
$375$	−19.3619	+	0.339663i	−0.999846	+	0.0175401i
$376$	−3.83679	+	6.45546i	−0.197867	+	0.332915i
$377$		−	20.6712i		−	1.06462i
$378$	9.40739	−	0.725749i	0.483864	−	0.0373285i
$379$			12.2509i			0.629287i	0.949210	+	0.314643i	$0.101885\pi$
$379$			12.2509i			0.629287i	−0.949210	+	0.314643i	$0.898115\pi$
$380$	13.7147	+	1.49496i	0.703548	+	0.0766898i
$381$	6.05332	−	29.0204i	0.310121	−	1.48676i
$382$	7.66135	+	9.20905i	0.391989	+	0.471176i
$383$	18.0807	+	10.4389i	0.923882	+	0.533404i	0.884871	−	0.465835i	$-0.154246\pi$
$383$	18.0807	+	10.4389i	0.923882	+	0.533404i	0.0390105	+	0.999239i	$0.487579\pi$
$384$	−10.8083	+	16.3457i	−0.551560	+	0.834136i
$385$	8.62931	+	12.6679i	0.439791	+	0.645618i
$386$	−12.0155	−	4.43078i	−0.611574	−	0.225521i
$387$	0.630302	+	5.58808i	0.0320401	+	0.284058i
$388$	−21.1854	+	24.8196i	−1.07553	+	1.26002i
$389$	−17.6804	+	10.2078i	−0.896431	+	0.517555i	−0.876041	−	0.482237i	$-0.839824\pi$
$389$	−17.6804	+	10.2078i	−0.896431	+	0.517555i	−0.0203905	+	0.999792i	$0.506491\pi$
$390$	−11.2049	−	17.7666i	−0.567382	−	0.899647i
$391$	2.22263	−	3.84971i	0.112403	−	0.194688i
$392$	0.191533	−	15.1348i	0.00967388	−	0.764421i
$393$	−11.8392	−	10.5789i	−0.597207	−	0.533633i
$394$	−28.0074	+	4.81673i	−1.41099	+	0.242663i
$395$	−11.1102	+	0.828059i	−0.559017	+	0.0416642i
$396$	28.8020	−	14.0179i	1.44736	−	0.704424i
$397$	13.2550			0.665248			0.332624	−	0.943059i	$-0.392066\pi$
$397$	13.2550			0.665248			0.332624	+	0.943059i	$0.392066\pi$
$398$	4.70576	−	0.809300i	0.235878	−	0.0405665i
$399$	−2.14479	−	6.51664i	−0.107374	−	0.326240i
$400$	−19.5303	−	4.30897i	−0.976515	−	0.215449i
$401$	4.76405	−	8.25158i	0.237905	−	0.412064i	−0.722208	−	0.691676i	$-0.756872\pi$
$401$	4.76405	−	8.25158i	0.237905	−	0.412064i	0.960113	+	0.279612i	$0.0902058\pi$
$402$	6.44295	−	10.3013i	0.321345	−	0.513781i
$403$	10.9868	+	19.0296i	0.547289	+	0.947933i
$404$	−7.33258	+	8.59039i	−0.364809	+	0.427388i
$405$	19.2315	−	5.92862i	0.955622	−	0.294595i
$406$	−3.38638	+	9.18329i	−0.168063	+	0.455759i
$407$	35.7081	−	20.6161i	1.76998	−	1.02190i
$408$	8.99014	+	28.5258i	0.445078	+	1.41224i
$409$	7.99176	−	13.8421i	0.395167	−	0.684449i	−0.597955	−	0.801529i	$-0.704020\pi$
$409$	7.99176	−	13.8421i	0.395167	−	0.684449i	0.993122	+	0.117080i	$0.0373534\pi$
$410$	−4.31004	−	4.45994i	−0.212857	−	0.220261i
$411$	−4.56955	+	1.50396i	−0.225399	+	0.0741847i
$412$	31.0043	+	5.73699i	1.52747	+	0.282641i
$413$	−13.6056			−0.669489
$414$	−2.22939	−	2.13837i	−0.109568	−	0.105095i
$415$	−5.95969	+	0.444182i	−0.292550	+	0.0218041i
$416$	−6.98811	−	20.5373i	−0.342620	−	1.00693i
$417$	−14.3513	−	12.8235i	−0.702785	−	0.627971i
$418$	−14.8957	−	17.9048i	−0.728571	−	0.875752i
$419$	0.794618	+	0.458773i	0.0388196	+	0.0224125i	0.519284	−	0.854602i	$-0.326199\pi$
$419$	0.794618	+	0.458773i	0.0388196	+	0.0224125i	−0.480465	+	0.877014i	$0.659532\pi$
$420$	2.06729	+	9.72850i	0.100873	+	0.474702i
$421$	29.5371	−	17.0533i	1.43955	−	0.831126i	0.441734	−	0.897146i	$-0.354364\pi$
$421$	29.5371	−	17.0533i	1.43955	−	0.831126i	0.997818	+	0.0660205i	$0.0210303\pi$
$422$	−14.9990	−	5.53095i	−0.730140	−	0.269242i
$423$	7.91494	−	0.892757i	0.384837	−	0.0434073i
$424$	12.2452	−	6.86463i	0.594677	−	0.333376i
$425$	−23.8814	+	19.0131i	−1.15842	+	0.922269i
$426$	30.3979	+	1.07425i	1.47278	+	0.0520478i
$427$	5.67613	−	9.83134i	0.274687	−	0.475772i
$428$	7.92797	−	2.81003i	0.383213	−	0.135828i
$429$	−7.24094	+	34.7140i	−0.349596	+	1.67601i
$430$	−5.75111	+	1.43613i	−0.277343	+	0.0692562i
$431$	27.3549			1.31764			0.658818	−	0.752302i	$-0.271057\pi$
$431$	27.3549			1.31764			0.658818	+	0.752302i	$0.271057\pi$
$432$	20.7416	−	1.33635i	0.997931	−	0.0642953i
$433$		−	32.3925i		−	1.55668i	−0.627841	−	0.778342i	$-0.716061\pi$
$433$		−	32.3925i		−	1.55668i	0.627841	−	0.778342i	$-0.283939\pi$
$434$	−1.76347	−	10.2539i	−0.0846492	−	0.492201i
$435$	−2.73208	+	20.6968i	−0.130993	+	0.992334i
$436$	−1.50838	−	4.25561i	−0.0722384	−	0.203807i
$437$	−1.12307	+	1.94522i	−0.0537238	+	0.0930523i
$438$	0.182903	−	5.17556i	0.00873943	−	0.247298i
$439$	19.4053	+	33.6109i	0.926163	+	1.60416i	0.789680	+	0.613518i	$0.210246\pi$
$439$	19.4053	+	33.6109i	0.926163	+	1.60416i	0.136482	+	0.990643i	$0.456420\pi$
$440$	18.6544	+	28.1438i	0.889315	+	1.34170i
$441$	−12.9160	+	9.53481i	−0.615047	+	0.454039i
$442$	−31.0659	−	11.4557i	−1.47765	−	0.544891i
$443$	−3.45336	−	5.98139i	−0.164074	−	0.284184i	0.772252	−	0.635316i	$-0.219130\pi$
$443$	−3.45336	−	5.98139i	−0.164074	−	0.284184i	−0.936326	+	0.351132i	$0.885797\pi$
$444$	26.5108	−	3.60058i	1.25815	−	0.170876i
$445$	−15.1713	+	31.4709i	−0.719191	+	1.49186i
$446$	7.81334	−	6.50021i	0.369973	−	0.307794i
$447$	15.3148	+	13.6845i	0.724364	+	0.647253i
$448$	−0.259943	+	10.2686i	−0.0122812	+	0.485146i
$449$	29.7672			1.40480			0.702401	−	0.711782i	$-0.252112\pi$
$449$	29.7672			1.40480			0.702401	+	0.711782i	$0.252112\pi$
$450$	8.87056	+	19.2695i	0.418162	+	0.908372i
$451$			10.4708i			0.493052i
$452$	−30.4627	−	5.63679i	−1.43285	−	0.265132i
$453$	−1.79079	−	5.44104i	−0.0841385	−	0.255642i
$454$	−25.9594	−	31.2036i	−1.21833	−	1.46446i
$455$	−9.91810	−	4.78127i	−0.464968	−	0.224149i
$456$	−4.54262	−	14.4138i	−0.212728	−	0.674988i
$457$	−24.8787	+	14.3637i	−1.16378	+	0.671907i	−0.952206	−	0.305455i	$-0.901191\pi$
$457$	−24.8787	+	14.3637i	−1.16378	+	0.671907i	−0.211571	+	0.977363i	$0.567858\pi$
$458$	−28.8564	−	10.6409i	−1.34837	−	0.497218i
$459$	18.3527	−	25.8755i	0.856630	−	1.20777i
$460$	1.92411	−	2.62695i	0.0897123	−	0.122482i
$461$	−10.3243	+	5.96075i	−0.480852	+	0.277620i	−0.720771	−	0.693173i	$-0.756212\pi$
$461$	−10.3243	+	5.96075i	−0.480852	+	0.277620i	0.239920	+	0.970793i	$0.422879\pi$
$462$	8.90371	−	14.2357i	0.414238	−	0.662303i
$463$	−3.35564	−	1.93738i	−0.155950	−	0.0900376i	0.419994	−	0.907527i	$-0.362032\pi$
$463$	−3.35564	−	1.93738i	−0.155950	−	0.0900376i	−0.575944	+	0.817489i	$0.695365\pi$
$464$	−7.71507	+	20.1334i	−0.358163	+	0.934669i
$465$	−8.48522	−	20.5052i	−0.393493	−	0.950907i
$466$	5.27310	+	30.6610i	0.244272	+	1.42034i
$467$	−12.9495			−0.599231			−0.299615	−	0.954060i	$-0.596858\pi$
$467$	−12.9495			−0.599231			−0.299615	+	0.954060i	$0.596858\pi$
$468$	−12.8828	+	19.0651i	−0.595506	+	0.881283i
$469$		−	6.36897i		−	0.294092i
$470$	2.03412	+	8.14585i	0.0938271	+	0.375740i
$471$	−2.57388	+	2.88052i	−0.118598	+	0.132727i
$472$	−29.9687	−	0.379259i	−1.37942	−	0.0174568i
$473$	8.66666	+	5.00370i	0.398494	+	0.230070i
$474$	5.72512	+	10.7783i	0.262963	+	0.495062i
$475$	12.0670	−	9.60710i	0.553673	−	0.440804i
$476$	11.9245	+	10.1785i	0.546557	+	0.466530i
$477$	−13.6480	−	5.95260i	−0.624897	−	0.272551i
$478$	5.12789	−	13.9060i	0.234544	−	0.636044i
$479$	−16.0186	−	27.7450i	−0.731908	−	1.26770i	−0.956067	−	0.293149i	$-0.905297\pi$
$479$	−16.0186	−	27.7450i	−0.731908	−	1.26770i	0.224159	−	0.974553i	$-0.428036\pi$
$480$	4.28237	+	21.4863i	0.195462	+	0.980711i
$481$	−14.8091	+	25.6502i	−0.675238	+	1.16955i
$482$	−4.32378	−	5.19724i	−0.196943	−	0.236728i
$483$	−1.58517	−	0.330647i	−0.0721275	−	0.0150450i
$484$	6.36882	−	34.4189i	0.289492	−	1.56449i
$485$	2.71163	+	36.3825i	0.123129	+	1.65205i
$486$	−14.4186	−	16.6765i	−0.654040	−	0.756460i
$487$			28.4187i			1.28777i	0.765121	+	0.643886i	$0.222679\pi$
$487$			28.4187i			1.28777i	−0.765121	+	0.643886i	$0.777321\pi$
$488$	12.7767	−	21.4970i	0.578373	−	0.973123i
$489$	−4.64426	−	0.968739i	−0.210021	−	0.0438079i
$490$	−11.7598	−	12.1688i	−0.531253	−	0.549730i
$491$	−17.0680	−	9.85423i	−0.770269	−	0.444715i	0.0627014	−	0.998032i	$-0.480028\pi$
$491$	−17.0680	−	9.85423i	−0.770269	−	0.444715i	−0.832971	+	0.553317i	$0.813362\pi$
$492$	−2.57433	+	6.28759i	−0.116060	+	0.283466i
$493$	16.4541	+	28.4993i	0.741055	+	1.28354i
$494$	15.6972	+	5.78843i	0.706252	+	0.260434i
$495$	11.8380	−	33.7999i	0.532077	−	1.51919i
$496$	−3.59851	−	22.6350i	−0.161578	−	1.01634i
$497$	13.8080	−	7.97205i	0.619373	−	0.357595i
$498$	3.07103	+	5.78161i	0.137616	+	0.259080i
$499$	−21.9817	−	12.6911i	−0.984036	−	0.568134i	−0.0805501	−	0.996751i	$-0.525668\pi$
$499$	−21.9817	−	12.6911i	−0.984036	−	0.568134i	−0.903486	+	0.428617i	$0.859001\pi$
$500$	−18.8998	+	11.9498i	−0.845225	+	0.534411i
$501$	16.2148	+	14.4887i	0.724423	+	0.647307i
$502$	1.47544	+	8.57910i	0.0658522	+	0.382904i
$503$			17.7226i			0.790214i	0.918635	+	0.395107i	$0.129292\pi$
$503$			17.7226i			0.790214i	−0.918635	+	0.395107i	$0.870708\pi$
$504$	8.84649	−	6.35928i	0.394054	−	0.283265i
$505$	0.938533	+	12.5925i	0.0417642	+	0.560359i
$506$	−5.41778	+	0.931754i	−0.240850	+	0.0414215i
$507$	−0.924176	−	2.80797i	−0.0410441	−	0.124706i
$508$	−11.4359	−	32.2644i	−0.507388	−	1.43150i
$509$	−24.4477	−	14.1149i	−1.08363	−	0.625632i	−0.151754	−	0.988418i	$-0.548492\pi$
$509$	−24.4477	−	14.1149i	−1.08363	−	0.625632i	−0.931872	+	0.362787i	$0.881825\pi$
$510$	29.5902	+	15.5757i	1.31027	+	0.689706i
$511$	−1.35732	−	2.35095i	−0.0600444	−	0.104000i
$512$	−0.858809	+	22.6111i	−0.0379543	+	0.999279i
$513$	−9.27341	+	13.0746i	−0.409431	+	0.577259i
$514$	9.30621	+	3.43171i	0.410479	+	0.151366i
$515$	29.1349	−	19.8465i	1.28384	−	0.874540i
$516$	3.97402	+	5.13541i	0.174946	+	0.226074i
$517$	7.08722	−	12.2754i	0.311696	−	0.539872i
$518$	10.7811	−	8.96916i	0.473693	−	0.394082i
$519$	−2.81362	−	8.54876i	−0.123504	−	0.375249i
$520$	−21.7130	−	10.8080i	−0.952179	−	0.473964i
$521$	−1.43056			−0.0626739			−0.0313369	−	0.999509i	$-0.509976\pi$
$521$	−1.43056			−0.0626739			−0.0313369	+	0.999509i	$0.509976\pi$
$522$	21.9615	−	6.37781i	0.961229	−	0.279149i
$523$	−7.89902			−0.345400			−0.172700	−	0.984974i	$-0.555249\pi$
$523$	−7.89902			−0.345400			−0.172700	+	0.984974i	$0.555249\pi$
$524$	−18.0271	−	3.33572i	−0.787519	−	0.145722i
$525$	9.29842	+	6.09803i	0.405816	+	0.266140i
$526$	27.3390	−	22.7443i	1.19204	−	0.991699i
$527$	−30.2948	−	17.4907i	−1.31966	−	0.761906i
$528$	20.0088	−	31.1083i	0.870770	−	1.35381i
$529$	−11.2349	−	19.4595i	−0.488475	−	0.846063i
$530$	4.32067	−	15.0886i	0.187678	−	0.655406i
$531$	18.8801	+	25.5752i	0.819326	+	1.10987i
$532$	−6.02531	−	5.14308i	−0.261230	−	0.222981i
$533$	−3.76075	−	6.51382i	−0.162896	−	0.282145i
$534$	38.2476	+	1.35166i	1.65514	+	0.0584920i
$535$	4.08371	−	8.47110i	0.176554	−	0.366238i
$536$	0.177536	−	14.0287i	0.00766839	−	0.605950i
$537$	−5.80898	+	27.8490i	−0.250676	+	1.20177i
$538$	7.35550	+	42.7693i	0.317118	+	1.84391i
$539$			28.5693i			1.23057i
$540$	15.4185	−	17.3859i	0.663506	−	0.748171i
$541$		−	12.0065i		−	0.516200i	−0.966118	−	0.258100i	$-0.916904\pi$
$541$		−	12.0065i		−	0.516200i	0.966118	−	0.258100i	$-0.0830964\pi$
$542$	−26.6236	+	4.57874i	−1.14358	+	0.196674i
$543$	−3.24368	+	15.5506i	−0.139200	+	0.667341i
$544$	25.9820	+	22.7522i	1.11397	+	0.975494i
$545$	−4.54716	−	2.19207i	−0.194779	−	0.0938981i
$546$	−0.425977	+	12.0538i	−0.0182301	+	0.515854i
$547$	−7.06425	−	12.2356i	−0.302046	−	0.523158i	0.674553	−	0.738226i	$-0.264336\pi$
$547$	−7.06425	−	12.2356i	−0.302046	−	0.523158i	−0.976599	+	0.215067i	$0.931003\pi$
$548$	−3.60639	+	4.22502i	−0.154057	+	0.180484i
$549$	−26.3571	+	2.97292i	−1.12489	+	0.126881i
$550$	36.9636	+	7.66610i	1.57613	+	0.326884i
$551$	−8.31407	−	14.4004i	−0.354191	−	0.613477i
$552$	−3.48238	−	0.772493i	−0.148220	−	0.0328795i
$553$	5.54029	+	3.19869i	0.235597	+	0.136022i
$554$	19.4216	+	23.3450i	0.825143	+	0.991834i
$555$	18.2176	−	23.7246i	0.773292	−	1.00705i
$556$	−21.8522	−	4.04351i	−0.926741	−	0.171483i
$557$	10.8883			0.461353			0.230676	−	0.973031i	$-0.425906\pi$
$557$	10.8883			0.461353			0.230676	+	0.973031i	$0.425906\pi$
$558$	−16.8276	+	17.5439i	−0.712371	+	0.742691i
$559$	−7.18861			−0.304046
$560$	7.87554	+	8.35857i	0.332802	+	0.353214i
$561$	−17.6490	−	53.6237i	−0.745140	−	2.26400i
$562$	21.8454	+	26.2585i	0.921494	+	1.10765i
$563$	−16.5888	+	28.7327i	−0.699136	+	1.21094i	0.269630	+	0.962964i	$0.413099\pi$
$563$	−16.5888	+	28.7327i	−0.699136	+	1.21094i	−0.968766	+	0.247976i	$0.920235\pi$
$564$	7.27378	−	5.62878i	0.306281	−	0.237014i
$565$	−28.6260	+	19.4998i	−1.20430	+	0.820364i
$566$	−3.26428	+	8.85217i	−0.137208	+	0.372085i
$567$	−11.0433	−	3.40352i	−0.463775	−	0.142934i
$568$	30.6367	−	17.1749i	1.28549	−	0.720643i
$569$	−3.12128	−	5.40622i	−0.130851	−	0.226641i	0.793154	−	0.609021i	$-0.208438\pi$
$569$	−3.12128	−	5.40622i	−0.130851	−	0.226641i	−0.924005	+	0.382381i	$0.875104\pi$
$570$	−14.9516	−	7.87026i	−0.626253	−	0.329649i
$571$	16.3670	+	9.44950i	0.684939	+	0.395449i	0.801713	−	0.597709i	$-0.203922\pi$
$571$	16.3670	+	9.44950i	0.684939	+	0.395449i	−0.116775	+	0.993158i	$0.537256\pi$
$572$	13.6796	+	38.5944i	0.571973	+	1.61371i
$573$	−4.58674	−	13.9361i	−0.191614	−	0.582191i
$574$	0.603633	+	3.50988i	0.0251952	+	0.146500i
$575$	−0.539676	−	3.60036i	−0.0225061	−	0.150146i
$576$	19.6632	−	13.7608i	0.819299	−	0.573367i
$577$		−	14.7164i		−	0.612650i	−0.951927	−	0.306325i	$-0.900901\pi$
$577$		−	14.7164i		−	0.612650i	0.951927	−	0.306325i	$-0.0990995\pi$
$578$	28.2551	−	4.85934i	1.17526	−	0.202122i
$579$	11.6957	+	10.4507i	0.486058	+	0.434316i
$580$	9.71976	+	22.0595i	0.403591	+	0.915970i
$581$	2.97189	+	1.71582i	0.123295	+	0.0711843i
$582$	35.2954	−	18.7479i	1.46304	−	0.777127i
$583$	−22.9471	+	13.2485i	−0.950370	+	0.548696i
$584$	−2.92420	−	5.21621i	−0.121004	−	0.215848i
$585$	4.77543	+	25.2784i	0.197440	+	1.04513i
$586$	4.88828	−	13.2562i	0.201933	−	0.547608i
$587$	−8.03029	−	13.9089i	−0.331445	−	0.574080i	0.651350	−	0.758777i	$-0.274203\pi$
$587$	−8.03029	−	13.9089i	−0.331445	−	0.574080i	−0.982795	+	0.184697i	$0.940870\pi$
$588$	−7.02397	+	17.1555i	−0.289664	+	0.707480i
$589$	15.3076	+	8.83786i	0.630739	+	0.364158i
$590$	−24.0957	+	23.2858i	−0.992005	+	0.958663i
$591$	34.0721	+	7.10705i	1.40154	+	0.292345i
$592$	23.9971	−	19.4556i	0.986276	−	0.799620i
$593$			11.1642i			0.458460i	0.973372	+	0.229230i	$0.0736208\pi$
$593$			11.1642i			0.458460i	−0.973372	+	0.229230i	$0.926379\pi$
$594$	−39.1149	+	3.01759i	−1.60491	+	0.123813i
$595$	17.4799	−	1.30279i	0.716605	−	0.0534094i
$596$	23.3193	+	4.31498i	0.955196	+	0.176748i
$597$	−5.72475	−	1.19412i	−0.234298	−	0.0488719i
$598$	3.03570	−	2.52551i	0.124139	−	0.103276i
$599$	20.3403	−	35.2304i	0.831081	−	1.43947i	−0.0661015	−	0.997813i	$-0.521056\pi$
$599$	20.3403	−	35.2304i	0.831081	−	1.43947i	0.897182	−	0.441661i	$-0.145611\pi$
$600$	20.3114	+	13.6912i	0.829209	+	0.558939i
$601$	4.24355	+	7.35005i	0.173098	+	0.299815i	0.939501	−	0.342545i	$-0.111289\pi$
$601$	4.24355	+	7.35005i	0.173098	+	0.299815i	−0.766403	+	0.642360i	$0.777956\pi$
$602$	3.19358	+	1.17765i	0.130160	+	0.0479973i
$603$	−11.9721	+	8.83802i	−0.487542	+	0.359912i
$604$	−5.03081	−	4.29419i	−0.204701	−	0.174728i
$605$	−22.0322	−	32.3436i	−0.895737	−	1.31495i
$606$	12.2162	−	6.48893i	0.496250	−	0.263595i
$607$	−19.4233	−	11.2140i	−0.788365	−	0.455163i	0.0510214	−	0.998698i	$-0.483752\pi$
$607$	−19.4233	−	11.2140i	−0.788365	−	0.455163i	−0.839387	+	0.543535i	$0.817086\pi$
$608$	−13.1284	−	11.4965i	−0.532427	−	0.466243i
$609$	7.98731	−	8.93888i	0.323662	−	0.362222i
$610$	−6.77372	−	27.1260i	−0.274260	−	1.09830i
$611$			10.1819i			0.411916i
$612$	2.58582	−	36.5394i	0.104525	−	1.47702i
$613$	−39.9382			−1.61309			−0.806545	−	0.591172i	$-0.798665\pi$
$613$	−39.9382			−1.61309			−0.806545	+	0.591172i	$0.798665\pi$
$614$	−21.7731	+	3.74455i	−0.878690	+	0.151118i
$615$	2.90448	+	7.01892i	0.117120	+	0.283030i
$616$	0.245343	−	19.3868i	0.00988513	−	0.781115i
$617$	18.6816	+	10.7858i	0.752091	+	0.434220i	0.826449	−	0.563011i	$-0.190357\pi$
$617$	18.6816	+	10.7858i	0.752091	+	0.434220i	−0.0743576	+	0.997232i	$0.523691\pi$
$618$	−32.7405	−	20.4776i	−1.31701	−	0.823728i
$619$	−1.93802	+	1.11891i	−0.0778954	+	0.0449729i	−0.538442	−	0.842663i	$-0.680987\pi$
$619$	−1.93802	+	1.11891i	−0.0778954	+	0.0449729i	0.460546	+	0.887636i	$0.347653\pi$
$620$	−20.6725	−	15.1416i	−0.830226	−	0.608100i
$621$	1.57815	+	3.43855i	0.0633290	+	0.137984i
$622$	0.0832122	−	0.225657i	0.00333651	−	0.00904804i
$623$	17.3736	−	10.0307i	0.696060	−	0.401871i
$624$	−1.27429	+	26.5386i	−0.0510124	+	1.06240i
$625$	−5.60262	+	24.3641i	−0.224105	+	0.974565i
$626$	3.83067	−	3.18688i	0.153104	−	0.127373i
$627$	8.91783	+	27.0955i	0.356144	+	1.08209i
$628$	−0.811593	+	4.38607i	−0.0323861	+	0.175023i
$629$		−	47.1516i		−	1.88006i
$630$	2.01963	−	12.0124i	0.0804639	−	0.478584i
$631$	−9.79743			−0.390029			−0.195015	−	0.980800i	$-0.562475\pi$
$631$	−9.79743			−0.390029			−0.195015	+	0.980800i	$0.562475\pi$
$632$	12.1143	+	7.20010i	0.481880	+	0.286405i
$633$	14.5998	+	13.0456i	0.580290	+	0.518517i
$634$	2.38170	+	2.86284i	0.0945896	+	0.113698i
$635$	−34.4747	−	16.6194i	−1.36809	−	0.659521i
$636$	−17.0366	+	2.31384i	−0.675546	+	0.0917498i
$637$	−10.2611	−	17.7727i	−0.406559	−	0.704182i
$638$	14.0802	−	38.1832i	0.557441	−	1.51169i
$639$	−34.1464	−	14.8931i	−1.35081	−	0.589161i
$640$	17.1142	+	18.6307i	0.676499	+	0.736444i
$641$	13.8643	+	24.0136i	0.547606	+	0.948481i	0.998438	+	0.0558724i	$0.0177940\pi$
$641$	13.8643	+	24.0136i	0.547606	+	0.948481i	−0.450832	+	0.892609i	$0.648873\pi$
$642$	−10.2952	−	0.363829i	−0.406319	−	0.0143592i
$643$	−11.0304	+	19.1052i	−0.434996	+	0.753435i	−0.997295	−	0.0734989i	$-0.976583\pi$
$643$	−11.0304	+	19.1052i	−0.434996	+	0.753435i	0.562300	+	0.826934i	$0.309917\pi$
$644$	−1.76236	+	0.624659i	−0.0694466	+	0.0246150i
$645$	7.19749	+	0.950105i	0.283401	+	0.0374104i
$646$	−26.2492	+	4.51437i	−1.03276	+	0.177615i
$647$		−	26.8450i		−	1.05539i	−0.849435	−	0.527694i	$-0.823057\pi$
$647$		−	26.8450i		−	1.05539i	0.849435	−	0.527694i	$-0.176943\pi$
$648$	−24.2299	−	7.80466i	−0.951840	−	0.306596i
$649$	56.5708			2.22060
$650$	−25.7482	+	8.50701i	−1.00993	+	0.333672i
$651$	−2.60198	+	12.4742i	−0.101980	+	0.488904i
$652$	−5.16341	+	1.83015i	−0.202215	+	0.0716740i
$653$	11.9213	−	20.6483i	0.466517	−	0.808031i	−0.532752	−	0.846271i	$-0.678842\pi$
$653$	11.9213	−	20.6483i	0.466517	−	0.808031i	0.999269	+	0.0382409i	$0.0121754\pi$
$654$	−0.195298	+	5.52631i	−0.00763676	+	0.216096i
$655$	−16.9402	+	11.5395i	−0.661907	+	0.450887i
$656$	1.23177	+	7.74795i	0.0480924	+	0.302507i
$657$	−2.53570	+	5.81378i	−0.0989270	+	0.226817i
$658$	1.66801	−	4.52337i	0.0650259	−	0.176339i
$659$	28.7640	−	16.6069i	1.12049	−	0.646914i	0.178962	−	0.983856i	$-0.442726\pi$
$659$	28.7640	−	16.6069i	1.12049	−	0.646914i	0.941525	+	0.336942i	$0.109393\pi$
$660$	−8.59556	−	40.4501i	−0.334582	−	1.57452i
$661$	−20.5088	−	11.8407i	−0.797698	−	0.460551i	0.0449675	−	0.998988i	$-0.485682\pi$
$661$	−20.5088	−	11.8407i	−0.797698	−	0.460551i	−0.842666	+	0.538437i	$0.819015\pi$
$662$	4.69815	−	3.90857i	0.182599	−	0.151911i
$663$	30.2390	+	27.0200i	1.17439	+	1.04937i
$664$	6.49827	+	3.86223i	0.252182	+	0.149884i
$665$	−8.83239	+	0.658288i	−0.342505	+	0.0255273i
$666$	−31.8204	−	7.81952i	−1.23301	−	0.303000i
$667$	−3.92473			−0.151966
$668$	24.6897	+	4.56856i	0.955275	+	0.176763i
$669$	−11.8240	+	3.89159i	−0.457143	+	0.150457i
$670$	−10.9004	−	11.2795i	−0.421120	−	0.435766i
$671$	−23.6007	+	40.8777i	−0.911097	+	1.57807i
$672$	4.91370	−	11.5812i	0.189550	−	0.446753i
$673$	7.63194	−	4.40630i	0.294190	−	0.169850i	−0.345640	−	0.938367i	$-0.612338\pi$
$673$	7.63194	−	4.40630i	0.294190	−	0.169850i	0.639830	+	0.768517i	$0.279005\pi$
$674$	1.25066	+	0.461186i	0.0481736	+	0.0177642i
$675$	−1.44033	−	25.9408i	−0.0554382	−	0.998462i
$676$	−2.59626	−	2.21611i	−0.0998563	−	0.0852352i
$677$	12.2470	+	21.2125i	0.470691	+	0.815261i	0.999438	−	0.0335187i	$-0.0106713\pi$
$677$	12.2470	+	21.2125i	0.470691	+	0.815261i	−0.528747	+	0.848779i	$0.677338\pi$
$678$	32.1686	+	20.1199i	1.23543	+	0.772700i
$679$	10.4747	−	18.1427i	0.401982	−	0.696253i
$680$	38.5387	−	2.38237i	1.47789	−	0.0913599i
$681$	15.5415	+	47.2206i	0.595553	+	1.80950i
$682$	7.33232	+	42.6345i	0.280769	+	1.63256i
$683$	−33.4033			−1.27814			−0.639070	−	0.769149i	$-0.720681\pi$
$683$	−33.4033			−1.27814			−0.639070	+	0.769149i	$0.720681\pi$
$684$	−1.30659	+	18.4630i	−0.0499585	+	0.705950i
$685$	0.461600	+	6.19339i	0.0176368	+	0.236637i
$686$	3.80138	+	22.1035i	0.145137	+	0.843916i
$687$	28.0884	+	25.0983i	1.07164	+	0.957561i
$688$	7.00157	+	2.68299i	0.266932	+	0.102288i
$689$	9.51678	−	16.4835i	0.362560	−	0.627973i
$690$	−3.37324	+	2.12741i	−0.128417	+	0.0809891i
$691$	32.9438	−	19.0201i	1.25324	−	0.723559i	0.281489	−	0.959564i	$-0.409172\pi$
$691$	32.9438	−	19.0201i	1.25324	−	0.723559i	0.971752	+	0.236005i	$0.0758383\pi$
$692$	−7.90422	−	6.74687i	−0.300473	−	0.256478i
$693$	−16.5446	+	12.2135i	−0.628478	+	0.463954i
$694$	−10.9373	+	29.6602i	−0.415176	+	1.12589i
$695$	−20.5346	+	13.9881i	−0.778923	+	0.530597i
$696$	17.8426	−	19.4668i	0.676322	−	0.737886i
$697$	10.3699	+	5.98704i	0.392786	+	0.226775i
$698$	−21.4885	+	17.8770i	−0.813351	+	0.676656i
$699$	7.78042	−	37.3004i	0.294283	−	1.41083i
$700$	12.8324	+	0.438808i	0.485018	+	0.0165854i
$701$			5.47440i			0.206765i	0.994642	+	0.103383i	$0.0329666\pi$
$701$			5.47440i			0.206765i	−0.994642	+	0.103383i	$0.967033\pi$
$702$	23.2493	−	15.9259i	0.877487	−	0.601085i
$703$			23.8252i			0.898585i
$704$	1.08082	−	42.6958i	0.0407349	−	1.60916i
$705$	1.34572	−	10.1945i	0.0506829	−	0.383947i
$706$	−14.9886	+	12.4696i	−0.564104	+	0.469299i
$707$	3.62544	−	6.27944i	0.136349	−	0.236163i
$708$	33.9700	+	13.9083i	1.27667	+	0.522707i
$709$	11.4660	−	6.61988i	0.430613	−	0.248615i	−0.268995	−	0.963142i	$-0.586691\pi$
$709$	11.4660	−	6.61988i	0.430613	−	0.248615i	0.699608	+	0.714527i	$0.253358\pi$
$710$	10.8101	−	37.7508i	0.405694	−	1.41676i
$711$	−1.67534	−	14.8531i	−0.0628302	−	0.557035i
$712$	38.5480	−	21.6100i	1.44465	−	0.809868i
$713$	3.61305	−	2.08599i	0.135310	−	0.0781210i
$714$	−9.00739	−	16.9576i	−0.337093	−	0.634621i
$715$	41.2384	+	19.8800i	1.54223	+	0.743471i
$716$	10.9743	+	30.9620i	0.410131	+	1.15711i
$717$	−12.0949	+	13.5359i	−0.451693	+	0.505506i
$718$	−16.9750	+	2.91937i	−0.633500	+	0.108950i
$719$	18.7232			0.698257			0.349128	−	0.937075i	$-0.386478\pi$
$719$	18.7232			0.698257			0.349128	+	0.937075i	$0.386478\pi$
$720$	4.78342	−	26.4030i	0.178268	−	0.983982i
$721$	−20.2424			−0.753868
$722$	−13.2178	+	2.27321i	−0.491917	+	0.0846003i
$723$	2.58859	+	7.86503i	0.0962705	+	0.292504i
$724$	6.12797	+	17.2889i	0.227744	+	0.642537i
$725$	25.0802	+	9.86676i	0.931454	+	0.366442i
$726$	−22.7328	+	36.3462i	−0.843693	+	1.34894i
$727$	−19.7116	+	11.3805i	−0.731061	+	0.422078i	−0.818810	−	0.574064i	$-0.805366\pi$
$727$	−19.7116	+	11.3805i	−0.731061	+	0.422078i	0.0877490	+	0.996143i	$0.472033\pi$
$728$	6.81042	+	12.1485i	0.252411	+	0.450252i
$729$	8.92667	+	25.4817i	0.330617	+	0.943765i
$730$	−6.42746	−	1.84052i	−0.237891	−	0.0681209i
$731$	9.91090	−	5.72206i	0.366568	−	0.211638i
$732$	−24.2220	+	18.7441i	−0.895271	+	0.692801i
$733$	3.25269	−	5.63383i	0.120141	−	0.208090i	−0.799682	−	0.600424i	$-0.794999\pi$
$733$	3.25269	−	5.63383i	0.120141	−	0.208090i	0.919823	+	0.392333i	$0.128332\pi$
$734$	−14.2857	+	11.8848i	−0.527295	+	0.438676i
$735$	7.92478	+	19.1509i	0.292310	+	0.706391i
$736$	−3.89931	+	1.32679i	−0.143730	+	0.0489062i
$737$			26.4815i			0.975460i
$738$	5.76008	−	6.00524i	0.212031	−	0.221056i
$739$		−	36.6544i		−	1.34835i	−0.738570	−	0.674176i	$-0.764499\pi$
$739$		−	36.6544i		−	1.34835i	0.738570	−	0.674176i	$-0.235501\pi$
$740$	3.74279	−	34.3361i	0.137588	−	1.26222i
$741$	−15.2795	−	13.6529i	−0.561305	−	0.501552i
$742$	−6.92823	+	5.76385i	−0.254343	+	0.211597i
$743$	−16.2787	−	9.39851i	−0.597207	−	0.344798i	0.170735	−	0.985317i	$-0.445386\pi$
$743$	−16.2787	−	9.39851i	−0.597207	−	0.344798i	−0.767942	+	0.640519i	$0.778719\pi$
$744$	−6.07903	+	27.4041i	−0.222868	+	1.00468i
$745$	21.9133	−	14.9272i	0.802840	−	0.546889i
$746$	−1.04202	+	2.82577i	−0.0381510	+	0.103459i
$747$	−0.898676	−	7.96742i	−0.0328809	−	0.291513i
$748$	−49.5807	−	42.3211i	−1.81285	−	1.54741i
$749$	−4.67650	+	2.69998i	−0.170876	+	0.0986552i
$750$	26.9043	−	5.11444i	0.982407	−	0.186753i
$751$	−8.95569	+	15.5117i	−0.326798	+	0.566030i	−0.981875	−	0.189532i	$-0.939303\pi$
$751$	−8.95569	+	15.5117i	−0.326798	+	0.566030i	0.655077	+	0.755562i	$0.272636\pi$
$752$	3.80017	−	9.91699i	0.138578	−	0.361635i
$753$	2.17700	−	10.4368i	0.0793344	−	0.380340i
$754$	4.95487	+	28.8106i	0.180446	+	1.04922i
$755$	−7.37457	+	0.549635i	−0.268388	+	0.0200033i
$756$	−12.9376	+	3.26645i	−0.470536	+	0.118800i
$757$	−29.2983			−1.06486			−0.532432	−	0.846473i	$-0.678722\pi$
$757$	−29.2983			−1.06486			−0.532432	+	0.846473i	$0.678722\pi$
$758$	−2.93653	−	17.0747i	−0.106659	−	0.620182i
$759$	6.59095	+	1.37480i	0.239237	+	0.0499019i
$760$	−19.4732	+	1.20379i	−0.706367	+	0.0436660i
$761$	−7.61118	+	13.1830i	−0.275905	+	0.477882i	−0.970363	−	0.241651i	$-0.922311\pi$
$761$	−7.61118	+	13.1830i	−0.275905	+	0.477882i	0.694458	+	0.719533i	$0.255644\pi$
$762$	−1.48067	+	41.8982i	−0.0536391	+	1.51781i
$763$	1.44931	+	2.51028i	0.0524685	+	0.0908781i
$764$	−12.8854	−	10.9987i	−0.466178	−	0.397919i
$765$	−26.7052	−	31.0500i	−0.965529	−	1.12262i
$766$	−27.7022	−	10.2153i	−1.00092	−	0.369095i
$767$	−35.1922	+	20.3182i	−1.27072	+	0.733649i
$768$	11.1461	−	25.3725i	0.402200	−	0.915552i
$769$	−0.520110	+	0.900856i	−0.0187556	+	0.0324857i	−0.875251	−	0.483669i	$-0.839304\pi$
$769$	−0.520110	+	0.900856i	−0.0187556	+	0.0324857i	0.856495	+	0.516155i	$0.172637\pi$
$770$	−15.0636	−	15.5875i	−0.542855	−	0.561735i
$771$	−9.05853	−	8.09422i	−0.326235	−	0.291506i
$772$	17.8087	+	3.29530i	0.640950	+	0.118601i
$773$	−13.9785			−0.502773			−0.251387	−	0.967887i	$-0.580887\pi$
$773$	−13.9785			−0.502773			−0.251387	+	0.967887i	$0.580887\pi$
$774$	−2.21794	−	7.63732i	−0.0797223	−	0.274518i
$775$	−28.3326	+	4.24691i	−1.01774	+	0.152554i
$776$	23.5780	−	39.6704i	0.846402	−	1.42409i
$777$	−16.3151	+	5.36971i	−0.585300	+	0.192637i
$778$	22.1953	−	18.4651i	0.795739	−	0.662005i
$779$	−5.23978	−	3.02519i	−0.187735	−	0.108389i
$780$	19.8755	+	22.0764i	0.711656	+	0.790464i
$781$	−57.4122	+	33.1470i	−2.05437	+	1.18609i
$782$	−2.17502	+	5.89830i	−0.0777787	+	0.210923i
$783$	−27.8866	−	2.60998i	−0.996587	−	0.0932730i
$784$	3.36083	+	21.1400i	0.120030	+	0.755001i
$785$	2.80761	+	4.12161i	0.100208	+	0.147107i
$786$	19.0366	+	11.9065i	0.679013	+	0.424690i
$787$	−10.1472	+	17.5755i	−0.361709	+	0.626498i	−0.988242	−	0.152896i	$-0.951140\pi$
$787$	−10.1472	+	17.5755i	−0.361709	+	0.626498i	0.626533	+	0.779395i	$0.284473\pi$
$788$	37.8808	−	13.4267i	1.34945	−	0.478305i
$789$	−41.3723	+	13.6167i	−1.47289	+	0.484767i
$790$	15.2864	−	3.81722i	0.543867	−	0.135811i
$791$	19.8889			0.707167
$792$	−36.7828	+	26.4412i	−1.30702	+	0.939548i
$793$		−	33.9062i		−	1.20405i
$794$	−18.4742	+	3.17720i	−0.655623	+	0.112755i
$795$	−11.7071	+	15.2461i	−0.415209	+	0.540723i
$796$	−6.36467	+	2.25593i	−0.225590	+	0.0799592i
$797$	−4.17567	+	7.23247i	−0.147910	+	0.256187i	−0.930455	−	0.366407i	$-0.880588\pi$
$797$	−4.17567	+	7.23247i	−0.147910	+	0.256187i	0.782545	+	0.622594i	$0.213921\pi$
$798$	4.55134	+	8.56847i	0.161116	+	0.303321i
$799$	−8.10470	−	14.0378i	−0.286724	−	0.496620i
$800$	28.2533	+	1.32425i	0.998903	+	0.0468194i
$801$	−42.9641	−	18.7389i	−1.51806	−	0.662107i
$802$	−4.66201	+	12.6426i	−0.164621	+	0.446426i
$803$	5.64361	+	9.77502i	0.199159	+	0.344953i
$804$	−6.51067	+	15.9018i	−0.229614	+	0.560813i
$805$	−0.907793	+	1.88309i	−0.0319955	+	0.0663703i
$806$	−19.8742	−	23.8891i	−0.700038	−	0.841456i
$807$	10.8530	−	52.0306i	0.382043	−	1.83156i
$808$	8.16069	−	13.7305i	0.287092	−	0.483037i
$809$	−53.8046			−1.89167			−0.945834	−	0.324650i	$-0.894753\pi$
$809$	−53.8046			−1.89167			−0.945834	+	0.324650i	$0.894753\pi$
$810$	−25.3829	+	12.8728i	−0.891864	+	0.452304i
$811$			18.2154i			0.639631i	0.947480	+	0.319815i	$0.103621\pi$
$811$			18.2154i			0.639631i	−0.947480	+	0.319815i	$0.896379\pi$
$812$	2.51855	−	13.6109i	0.0883839	−	0.477650i
$813$	32.3887	+	6.75590i	1.13592	+	0.236940i
$814$	−44.8265	+	37.2928i	−1.57117	+	1.30711i
$815$	−2.65968	+	5.51714i	−0.0931644	+	0.193257i
$816$	−19.3676	−	37.6030i	−0.678003	−	1.31637i
$817$	−5.00787	+	2.89130i	−0.175203	+	0.101154i
$818$	−7.82059	+	21.2081i	−0.273440	+	0.741524i
$819$	5.90560	−	13.5402i	0.206358	−	0.473132i
$820$	7.07616	+	5.18294i	0.247110	+	0.180996i
$821$	−14.6488	+	8.45749i	−0.511247	+	0.295168i	−0.733346	−	0.679856i	$-0.762042\pi$
$821$	−14.6488	+	8.45749i	−0.511247	+	0.295168i	0.222099	+	0.975024i	$0.428709\pi$
$822$	6.00832	−	3.19146i	0.209564	−	0.111315i
$823$	29.5549	+	17.0635i	1.03022	+	0.594797i	0.917048	−	0.398778i	$-0.130566\pi$
$823$	29.5549	+	17.0635i	1.03022	+	0.594797i	0.113172	+	0.993575i	$0.463899\pi$
$824$	−44.5874	−	0.564261i	−1.55328	−	0.0196570i
$825$	−38.6619	−	25.3550i	−1.34603	−	0.882748i
$826$	18.9629	−	3.26125i	0.659802	−	0.113473i
$827$	34.1938			1.18904			0.594518	−	0.804082i	$-0.297343\pi$
$827$	34.1938			1.18904			0.594518	+	0.804082i	$0.297343\pi$
$828$	3.61977	+	2.44598i	0.125796	+	0.0850036i
$829$			8.20550i			0.284989i	0.989796	+	0.142494i	$0.0455123\pi$
$829$			8.20550i			0.284989i	−0.989796	+	0.142494i	$0.954488\pi$
$830$	8.19986	−	2.04761i	0.284621	−	0.0710736i
$831$	−11.6274	−	35.3282i	−0.403351	−	1.22552i
$832$	14.6625	+	26.9489i	0.508329	+	0.934285i
$833$	28.2938	+	16.3354i	0.980323	+	0.565990i
$834$	23.0759	+	14.4329i	0.799053	+	0.499769i
$835$	23.2011	−	15.8044i	0.802906	−	0.546934i
$836$	25.0526	+	21.3844i	0.866463	+	0.739594i
$837$	27.0592	−	12.4190i	0.935304	−	0.429265i
$838$	−1.21747	−	0.448947i	−0.0420567	−	0.0155086i
$839$	16.8999	+	29.2714i	0.583448	+	1.01056i	0.995067	+	0.0992055i	$0.0316301\pi$
$839$	16.8999	+	29.2714i	0.583448	+	1.01056i	−0.411619	+	0.911356i	$0.635037\pi$
$840$	−5.21319	−	13.0636i	−0.179872	−	0.450737i
$841$	0.0273480	−	0.0473682i	0.000943035	−	0.00163338i
$842$	−37.0798	+	30.8480i	−1.27785	+	1.06309i
$843$	−13.0786	−	39.7373i	−0.450450	−	1.36862i
$844$	22.2307	+	4.11353i	0.765211	+	0.141594i
$845$	−3.80581	+	0.283652i	−0.130924	+	0.00975792i
$846$	−10.8175	+	3.14148i	−0.371912	+	0.108006i
$847$			22.4718i			0.772140i
$848$	−15.4213	+	12.5027i	−0.529569	+	0.429346i
$849$	7.69931	−	8.61657i	0.264240	−	0.295720i
$850$	28.7273	−	32.2238i	0.985340	−	1.10527i
$851$	4.87005	+	2.81172i	0.166943	+	0.0963847i
$852$	−42.6247	+	5.78910i	−1.46030	+	0.198331i
$853$	−5.68810	−	9.85208i	−0.194757	−	0.337329i	0.752064	−	0.659090i	$-0.229058\pi$
$853$	−5.68810	−	9.85208i	−0.194757	−	0.337329i	−0.946821	+	0.321761i	$0.895725\pi$
$854$	−5.55455	+	15.0630i	−0.190073	+	0.515445i
$855$	13.4939	+	15.6892i	0.461480	+	0.536561i
$856$	−10.3761	+	5.81681i	−0.354647	+	0.198815i
$857$	1.53992	−	0.889074i	0.0526027	−	0.0303702i	−0.473468	−	0.880811i	$-0.656998\pi$
$857$	1.53992	−	0.889074i	0.0526027	−	0.0303702i	0.526071	+	0.850441i	$0.323665\pi$
$858$	1.77117	−	50.1184i	0.0604667	−	1.71101i
$859$	−18.9022	−	10.9132i	−0.644935	−	0.372354i	0.141578	−	0.989927i	$-0.454782\pi$
$859$	−18.9022	−	10.9132i	−0.644935	−	0.372354i	−0.786513	+	0.617574i	$0.788116\pi$
$860$	7.67139	−	3.38014i	0.261592	−	0.115262i
$861$	0.890656	−	4.26992i	0.0303535	−	0.145519i
$862$	−38.1259	+	6.55692i	−1.29857	+	0.223330i
$863$		−	49.8949i		−	1.69844i	−0.528039	−	0.849220i	$-0.677072\pi$
$863$		−	49.8949i		−	1.69844i	0.528039	−	0.849220i	$-0.322928\pi$
$864$	−28.5883	+	6.83428i	−0.972595	+	0.232507i
$865$	−11.5866	+	0.863566i	−0.393958	+	0.0293621i
$866$	7.76444	+	45.1471i	0.263846	+	1.53416i
$867$	−34.3735	−	7.16992i	−1.16739	−	0.243503i
$868$	4.91567	+	13.8686i	0.166849	+	0.470732i
$869$	−23.0360	−	13.2998i	−0.781442	−	0.451166i
$870$	−1.15315	−	29.5010i	−0.0390955	−	1.00018i
$871$	−9.51123	−	16.4739i	−0.322276	−	0.558198i
$872$	3.12238	+	5.56971i	0.105737	+	0.188614i
$873$	−48.6392	+	5.48621i	−1.64619	+	0.185680i
$874$	1.09902	−	2.98035i	0.0371748	−	0.100812i
$875$	10.5352	−	9.75133i	0.356153	−	0.329655i
$876$	0.985654	+	7.25729i	0.0333022	+	0.245201i
$877$	16.9675	−	29.3886i	0.572953	−	0.992384i	−0.423308	−	0.905986i	$-0.639131\pi$
$877$	16.9675	−	29.3886i	0.572953	−	0.992384i	0.996261	−	0.0863980i	$-0.0275357\pi$
$878$	−35.1026	−	42.1938i	−1.18466	−	1.42397i
$879$	−11.5298	+	12.9034i	−0.388889	+	0.435220i
$880$	−32.7457	−	34.7541i	−1.10386	−	1.17156i
$881$	31.3079			1.05479			0.527395	−	0.849620i	$-0.323169\pi$
$881$	31.3079			1.05479			0.527395	+	0.849620i	$0.323169\pi$
$882$	15.7162	−	16.3851i	0.529192	−	0.551715i
$883$	29.6387			0.997421			0.498711	−	0.866769i	$-0.333807\pi$
$883$	29.6387			0.997421			0.498711	+	0.866769i	$0.333807\pi$
$884$	46.0440	+	8.51993i	1.54863	+	0.286556i
$885$	37.9211	−	15.6920i	1.27470	−	0.527482i
$886$	6.24686	+	7.50881i	0.209867	+	0.252263i
$887$	6.16945	+	3.56193i	0.207150	+	0.119598i	0.599986	−	0.800010i	$-0.295173\pi$
$887$	6.16945	+	3.56193i	0.207150	+	0.119598i	−0.392836	+	0.919608i	$0.628506\pi$
$888$	−36.0864	+	11.3729i	−1.21098	+	0.381650i
$889$	10.9881	+	19.0319i	0.368528	+	0.638310i
$890$	13.6016	−	47.4992i	0.455925	−	1.59218i
$891$	45.9169	+	14.1515i	1.53827	+	0.474092i
$892$	−9.33177	+	10.9325i	−0.312451	+	0.366048i
$893$	4.09522	+	7.09313i	0.137041	+	0.237362i
$894$	−24.6251	−	15.4018i	−0.823588	−	0.515114i
$895$	33.0832	+	15.9486i	1.10585	+	0.533102i
$896$	−2.09907	−	14.3742i	−0.0701252	−	0.480208i
$897$	−4.59396	+	1.51199i	−0.153388	+	0.0504839i
$898$	−41.4881	+	7.13516i	−1.38448	+	0.238103i
$899$			30.8851i			1.03008i
$900$	−16.9822	−	24.7306i	−0.566074	−	0.824354i
$901$			30.3010i			1.00947i
$902$	−2.50984	−	14.5937i	−0.0835687	−	0.485918i
$903$	−3.10858	−	2.77766i	−0.103447	−	0.0924348i
$904$	43.8086	+	0.554406i	1.45705	+	0.0184393i
$905$	18.4733	+	8.90553i	0.614074	+	0.296030i
$906$	3.80012	+	7.15421i	0.126251	+	0.237683i
$907$	16.4861	+	28.5548i	0.547413	+	0.948147i	0.998451	+	0.0556424i	$0.0177207\pi$
$907$	16.4861	+	28.5548i	0.547413	+	0.948147i	−0.451038	+	0.892505i	$0.648946\pi$
$908$	43.6604	+	37.2676i	1.44892	+	1.23677i
$909$	−16.8347	+	1.89885i	−0.558372	+	0.0629810i
$910$	14.9694	+	4.28655i	0.496232	+	0.142098i
$911$	−20.3783	−	35.2963i	−0.675163	−	1.16942i	−0.976421	−	0.215875i	$-0.930740\pi$
$911$	−20.3783	−	35.2963i	−0.675163	−	1.16942i	0.301258	−	0.953543i	$-0.402594\pi$
$912$	9.78625	+	19.0004i	0.324055	+	0.629166i
$913$	−12.3568	−	7.13421i	−0.408951	−	0.236108i
$914$	31.2318	−	25.9829i	1.03306	−	0.859437i
$915$	−4.48132	+	33.9481i	−0.148148	+	1.12229i
$916$	42.7693	+	7.91398i	1.41314	+	0.261485i
$917$	11.7698			0.388672
$918$	−19.3768	+	40.4632i	−0.639528	+	1.33548i
$919$	35.9899			1.18720			0.593599	−	0.804761i	$-0.297707\pi$
$919$	35.9899			1.18720			0.593599	+	0.804761i	$0.297707\pi$
$920$	−2.05206	+	4.12253i	−0.0676544	+	0.135916i
$921$	26.4879	+	5.52506i	0.872805	+	0.182057i
$922$	12.9608	−	10.7825i	0.426840	−	0.355104i
$923$	23.8104	−	41.2409i	0.783730	−	1.35746i
$924$	−8.99729	+	21.9752i	−0.295989	+	0.722930i
$925$	−24.0524	−	30.2110i	−0.790837	−	0.993333i
$926$	5.14132	+	1.89588i	0.168954	+	0.0623026i
$927$	28.0898	+	38.0508i	0.922590	+	1.24975i
$928$	5.92695	−	29.9102i	0.194562	−	0.981851i
$929$	−2.68246	−	4.64615i	−0.0880086	−	0.152435i	0.818661	−	0.574278i	$-0.194717\pi$
$929$	−2.68246	−	4.64615i	−0.0880086	−	0.152435i	−0.906669	+	0.421842i	$0.861384\pi$
$930$	16.7414	+	26.5453i	0.548971	+	0.870455i
$931$	−14.2966	−	8.25413i	−0.468551	−	0.270518i
$932$	−14.6988	−	41.4699i	−0.481475	−	1.35839i
$933$	−0.196269	+	0.219652i	−0.00642556	+	0.00719107i
$934$	18.0484	−	3.10398i	0.590561	−	0.101565i
$935$	−72.6795	+	5.41689i	−2.37687	+	0.177151i
$936$	13.3855	−	29.6599i	0.437519	−	0.969466i
$937$		−	46.6172i		−	1.52292i	−0.648213	−	0.761459i	$-0.724483\pi$
$937$		−	46.6172i		−	1.52292i	0.648213	−	0.761459i	$-0.275517\pi$
$938$	1.52663	+	8.87677i	0.0498464	+	0.289837i
$939$	−5.79699	+	1.90794i	−0.189178	+	0.0622632i
$940$	−4.78761	−	10.8657i	−0.156155	−	0.354401i
$941$	38.8634	+	22.4378i	1.26691	+	0.731451i	0.974402	−	0.224812i	$-0.0721766\pi$
$941$	38.8634	+	22.4378i	1.26691	+	0.731451i	0.292509	+	0.956263i	$0.405510\pi$
$942$	2.89689	−	4.63168i	0.0943858	−	0.150908i
$943$	−1.23674	+	0.714033i	−0.0402738	+	0.0232521i
$944$	41.8598	−	6.65487i	1.36242	−	0.216597i
$945$	−7.70247	+	12.7764i	−0.250561	+	0.415616i
$946$	−13.2786	−	4.89653i	−0.431723	−	0.159200i
$947$	14.5356	+	25.1765i	0.472345	+	0.818126i	0.999499	−	0.0316440i	$-0.0100743\pi$
$947$	14.5356	+	25.1765i	0.472345	+	0.818126i	−0.527154	+	0.849770i	$0.676741\pi$
$948$	−10.5629	−	13.6499i	−0.343068	−	0.443329i
$949$	−7.02169	−	4.05397i	−0.227934	−	0.131598i
$950$	−14.5156	+	16.2824i	−0.470949	+	0.528269i
$951$	−1.42589	−	4.33237i	−0.0462378	−	0.140487i
$952$	−19.0595	−	11.3280i	−0.617723	−	0.367142i
$953$			55.0193i			1.78225i	0.453757	+	0.891126i	$0.350084\pi$
$953$			55.0193i			1.78225i	−0.453757	+	0.891126i	$0.649916\pi$
$954$	20.4487	+	5.02505i	0.662051	+	0.162692i
$955$	−18.8885	+	1.40778i	−0.611217	+	0.0455547i
$956$	−3.81376	+	20.6106i	−0.123346	+	0.666595i
$957$	−33.2104	+	37.1669i	−1.07354	+	1.20144i
$958$	28.9764	+	34.8300i	0.936184	+	1.12531i
$959$	1.78310	−	3.08843i	0.0575794	−	0.0997305i
$960$	−11.1188	−	28.9201i	−0.358858	−	0.933392i
$961$	−0.915445	−	1.58560i	−0.0295305	−	0.0511483i
$962$	14.4919	−	39.2997i	0.467239	−	1.26707i
$963$	11.5647	+	5.04400i	0.372669	+	0.162541i
$964$	7.27204	+	6.20726i	0.234217	+	0.199922i
$965$	16.7349	−	11.3997i	0.538717	−	0.366970i
$966$	2.28858	+	0.0808779i	0.0736340	+	0.00260220i
$967$	−37.9587	−	21.9155i	−1.22067	−	0.704754i	−0.255609	−	0.966780i	$-0.582276\pi$
$967$	−37.9587	−	21.9155i	−1.22067	−	0.704754i	−0.965061	+	0.262026i	$0.915609\pi$
$968$	−0.626404	+	49.4979i	−0.0201334	+	1.59092i
$969$	31.9333	+	6.66091i	1.02584	+	0.213979i
$970$	−12.5002	−	50.0582i	−0.401357	−	1.60727i
$971$		−	6.33364i		−	0.203256i	−0.994822	−	0.101628i	$-0.967595\pi$
$971$		−	6.33364i		−	0.203256i	0.994822	−	0.101628i	$-0.0324052\pi$
$972$	24.0932	+	19.7868i	0.772791	+	0.634661i
$973$	14.2671			0.457383
$974$	−6.81192	−	39.6086i	−0.218268	−	1.26914i
$975$	33.1579	+	1.88714i	1.06190	+	0.0604370i
$976$	−12.6547	+	33.0240i	−0.405068	+	1.05707i
$977$	−10.6599	−	6.15447i	−0.341039	−	0.196899i	0.319692	−	0.947521i	$-0.396420\pi$
$977$	−10.6599	−	6.15447i	−0.341039	−	0.196899i	−0.660731	+	0.750622i	$0.729754\pi$
$978$	6.70516	+	0.236958i	0.214407	+	0.00757709i
$979$	−72.2378	+	41.7065i	−2.30873	+	1.33295i
$980$	19.3071	+	14.1415i	0.616742	+	0.451733i
$981$	2.70754	−	6.20778i	0.0864452	−	0.198199i
$982$	26.1506	+	9.64317i	0.834501	+	0.307726i
$983$	9.52557	−	5.49959i	0.303818	−	0.175410i	−0.340339	−	0.940303i	$-0.610542\pi$
$983$	9.52557	−	5.49959i	0.303818	−	0.175410i	0.644157	+	0.764893i	$0.277208\pi$
$984$	2.08085	−	9.38040i	0.0663350	−	0.299036i
$985$	19.5124	−	40.4759i	0.621718	−	1.28967i
$986$	−29.7642	−	35.7769i	−0.947884	−	1.13937i
$987$	−3.93427	+	4.40298i	−0.125229	+	0.140148i
$988$	−23.2655	−	4.30503i	−0.740175	−	0.136961i
$989$			1.36486i			0.0434001i
$990$	−8.39741	+	49.9462i	−0.266887	+	1.58739i
$991$	−11.8904			−0.377712			−0.188856	−	0.982005i	$-0.560478\pi$
$991$	−11.8904			−0.377712			−0.188856	+	0.982005i	$0.560478\pi$
$992$	10.4410	+	30.6851i	0.331503	+	0.974252i
$993$	−7.10976	+	2.34000i	−0.225621	+	0.0742578i
$994$	−17.3340	+	14.4208i	−0.549802	+	0.457400i
$995$	−3.27845	+	6.80070i	−0.103934	+	0.215597i
$996$	−5.66610	−	7.32201i	−0.179537	−	0.232007i
$997$	19.3228	+	33.4681i	0.611959	+	1.05994i	0.990910	+	0.134527i	$0.0429516\pi$
$997$	19.3228	+	33.4681i	0.611959	+	1.05994i	−0.378951	+	0.925417i	$0.623715\pi$
$998$	33.6791	+	12.4193i	1.06609	+	0.393127i
$999$	32.7337	+	23.2170i	1.03565	+	0.734552i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	360.2.bk.a.229.4	✓	136
5.4	even	2	inner	360.2.bk.a.229.65	yes	136
8.5	even	2	inner	360.2.bk.a.229.19	yes	136
9.7	even	3	inner	360.2.bk.a.349.50	yes	136
40.29	even	2	inner	360.2.bk.a.229.50	yes	136
45.34	even	6	inner	360.2.bk.a.349.19	yes	136
72.61	even	6	inner	360.2.bk.a.349.65	yes	136
360.349	even	6	inner	360.2.bk.a.349.4	yes	136

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
360.2.bk.a.229.4	✓	136	1.1	even	1	trivial
360.2.bk.a.229.19	yes	136	8.5	even	2	inner
360.2.bk.a.229.50	yes	136	40.29	even	2	inner
360.2.bk.a.229.65	yes	136	5.4	even	2	inner
360.2.bk.a.349.4	yes	136	360.349	even	6	inner
360.2.bk.a.349.19	yes	136	45.34	even	6	inner
360.2.bk.a.349.50	yes	136	9.7	even	3	inner
360.2.bk.a.349.65	yes	136	72.61	even	6	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:	\( N \)	\(=\)	\( 360 = 2^{3} \cdot 3^{2} \cdot 5 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	360.bk (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.39375 + 0.239699i) q^{2} +(1.69556 + 0.353674i) q^{3} +(1.88509 - 0.668161i) q^{4} +(0.971012 - 2.01423i) q^{5} +(-2.44796 - 0.0865103i) q^{6} +(-1.11197 + 0.641993i) q^{7} +(-2.46719 + 1.38310i) q^{8} +(2.74983 + 1.19935i) q^{9} +O(q^{10})\)	\(q+(-1.39375 + 0.239699i) q^{2} +(1.69556 + 0.353674i) q^{3} +(1.88509 - 0.668161i) q^{4} +(0.971012 - 2.01423i) q^{5} +(-2.44796 - 0.0865103i) q^{6} +(-1.11197 + 0.641993i) q^{7} +(-2.46719 + 1.38310i) q^{8} +(2.74983 + 1.19935i) q^{9} +(-0.870541 + 3.04009i) q^{10} +(4.62344 - 2.66934i) q^{11} +(3.43259 - 0.466199i) q^{12} +(-1.91747 + 3.32115i) q^{13} +(1.39592 - 1.16132i) q^{14} +(2.35879 - 3.07183i) q^{15} +(3.10712 - 2.51909i) q^{16} -6.10514i q^{17} +(-4.12006 - 1.01246i) q^{18} +3.08486i q^{19} +(0.484612 - 4.44580i) q^{20} +(-2.11246 + 0.695264i) q^{21} +(-5.80409 + 4.82863i) q^{22} +(0.630568 + 0.364059i) q^{23} +(-4.67243 + 1.47255i) q^{24} +(-3.11427 - 3.91169i) q^{25} +(1.87640 - 5.08848i) q^{26} +(4.23832 + 3.00610i) q^{27} +(-1.66720 + 1.95319i) q^{28} +(-4.66809 + 2.69512i) q^{29} +(-2.55125 + 4.84676i) q^{30} +(2.86491 - 4.96217i) q^{31} +(-3.72674 + 4.25575i) q^{32} +(8.78338 - 2.89084i) q^{33} +(1.46339 + 8.50905i) q^{34} +(0.213393 + 2.86314i) q^{35} +(5.98503 + 0.423548i) q^{36} +7.72327 q^{37} +(-0.739437 - 4.29953i) q^{38} +(-4.42578 + 4.95305i) q^{39} +(0.390224 + 6.31251i) q^{40} +(-0.980656 + 1.69855i) q^{41} +(2.77759 - 1.47538i) q^{42} +(0.937253 + 1.62337i) q^{43} +(6.93204 - 8.12115i) q^{44} +(5.08588 - 4.37422i) q^{45} +(-0.966120 - 0.356261i) q^{46} +(2.29933 - 1.32752i) q^{47} +(6.15924 - 3.17235i) q^{48} +(-2.67569 + 4.63443i) q^{49} +(5.27815 + 4.70544i) q^{50} +(2.15923 - 10.3516i) q^{51} +(-1.39553 + 7.54184i) q^{52} -4.96320 q^{53} +(-6.62772 - 3.17385i) q^{54} +(-0.887267 - 11.9046i) q^{55} +(1.85549 - 3.12188i) q^{56} +(-1.09103 + 5.23056i) q^{57} +(5.86014 - 4.87526i) q^{58} +(9.17674 + 5.29819i) q^{59} +(2.39405 - 7.36672i) q^{60} +(-7.65688 + 4.42070i) q^{61} +(-2.80355 + 7.60276i) q^{62} +(-3.82769 + 0.431740i) q^{63} +(4.17405 - 6.82476i) q^{64} +(4.82769 + 7.08711i) q^{65} +(-11.5489 + 6.13447i) q^{66} +(-2.48015 + 4.29575i) q^{67} +(-4.07922 - 11.5087i) q^{68} +(0.940407 + 0.840298i) q^{69} +(-0.983708 - 3.93936i) q^{70} -12.4176 q^{71} +(-8.44317 + 0.844284i) q^{72} +2.11423i q^{73} +(-10.7643 + 1.85126i) q^{74} +(-3.89697 - 7.73393i) q^{75} +(2.06118 + 5.81524i) q^{76} +(-3.42740 + 5.93643i) q^{77} +(4.98120 - 7.96417i) q^{78} +(-2.49122 - 4.31491i) q^{79} +(-2.05698 - 8.70453i) q^{80} +(6.12313 + 6.59600i) q^{81} +(0.959652 - 2.60241i) q^{82} +(-1.33632 - 2.31458i) q^{83} +(-3.51762 + 2.72210i) q^{84} +(-12.2972 - 5.92816i) q^{85} +(-1.69542 - 2.03792i) q^{86} +(-8.86820 + 2.91875i) q^{87} +(-7.71492 + 12.9805i) q^{88} -15.6243 q^{89} +(-6.03997 + 7.31566i) q^{90} -4.92401i q^{91} +(1.43193 + 0.264962i) q^{92} +(6.61261 - 7.40041i) q^{93} +(-2.88650 + 2.40138i) q^{94} +(6.21363 + 2.99544i) q^{95} +(-7.82404 + 5.89783i) q^{96} +(-14.1300 + 8.15795i) q^{97} +(2.61838 - 7.10060i) q^{98} +(15.9151 - 1.79513i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 136 q - 2 q^{4} - 8 q^{9}+O(q^{10}) \) 136 * q - 2 * q^4 - 8 * q^9	\( 136 q - 2 q^{4} - 8 q^{9} - 10 q^{14} + 2 q^{15} - 2 q^{16} - 2 q^{20} - 38 q^{24} - 2 q^{25} + 16 q^{26} - 12 q^{30} - 4 q^{31} + 8 q^{34} - 24 q^{36} + 4 q^{39} - 6 q^{40} - 4 q^{41} - 56 q^{44} - 28 q^{46} + 40 q^{49} - 12 q^{50} + 10 q^{54} - 28 q^{55} + 26 q^{56} - 58 q^{60} - 20 q^{64} + 18 q^{65} + 16 q^{66} - 6 q^{70} - 128 q^{71} + 36 q^{74} + 12 q^{76} - 4 q^{79} - 36 q^{80} - 16 q^{81} - 110 q^{84} + 44 q^{86} - 32 q^{89} + 32 q^{90} - 34 q^{94} + 8 q^{95} - 2 q^{96}+O(q^{100}) \) 136 * q - 2 * q^4 - 8 * q^9 - 10 * q^14 + 2 * q^15 - 2 * q^16 - 2 * q^20 - 38 * q^24 - 2 * q^25 + 16 * q^26 - 12 * q^30 - 4 * q^31 + 8 * q^34 - 24 * q^36 + 4 * q^39 - 6 * q^40 - 4 * q^41 - 56 * q^44 - 28 * q^46 + 40 * q^49 - 12 * q^50 + 10 * q^54 - 28 * q^55 + 26 * q^56 - 58 * q^60 - 20 * q^64 + 18 * q^65 + 16 * q^66 - 6 * q^70 - 128 * q^71 + 36 * q^74 + 12 * q^76 - 4 * q^79 - 36 * q^80 - 16 * q^81 - 110 * q^84 + 44 * q^86 - 32 * q^89 + 32 * q^90 - 34 * q^94 + 8 * q^95 - 2 * q^96

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