LMFDB - Embedded newform 192.2.s.a.11.9

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [192,2,Mod(11,192)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(192, base_ring=CyclotomicField(16))

chi = DirichletCharacter(H, H._module([8, 5, 8]))

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

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

chi := DirichletCharacter("192.11");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 192 = 2^{6} \cdot 3 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	192.s (of order $16$, degree $8$, 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:	$1.53312771881$
Analytic rank:	$0$
Dimension:	$240$
Relative dimension:	$30$ over $\Q(\zeta_{16})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{16}]$

Embedding invariants

Embedding label			11.9
Character	$\chi$	$=$	192.11
Dual form			192.2.s.a.35.9

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.814459 + 1.15614i) q^{2} +(1.69388 + 0.361602i) q^{3} +(-0.673315 - 1.88325i) q^{4} +(0.388565 - 0.259631i) q^{5} +(-1.79766 + 1.66386i) q^{6} +(1.96536 - 4.74480i) q^{7} +(2.72569 + 0.755387i) q^{8} +(2.73849 + 1.22502i) q^{9} +O(q^{10})$	\(q+(-0.814459 + 1.15614i) q^{2} +(1.69388 + 0.361602i) q^{3} +(-0.673315 - 1.88325i) q^{4} +(0.388565 - 0.259631i) q^{5} +(-1.79766 + 1.66386i) q^{6} +(1.96536 - 4.74480i) q^{7} +(2.72569 + 0.755387i) q^{8} +(2.73849 + 1.22502i) q^{9} +(-0.0163008 + 0.660694i) q^{10} +(-0.529840 + 2.66369i) q^{11} +(-0.459529 - 3.43349i) q^{12} +(-0.621678 + 0.930407i) q^{13} +(3.88494 + 6.13667i) q^{14} +(0.752068 - 0.299279i) q^{15} +(-3.09329 + 2.53605i) q^{16} +(-3.90750 - 3.90750i) q^{17} +(-3.64668 + 2.16834i) q^{18} +(-1.74407 + 2.61018i) q^{19} +(-0.750578 - 0.556954i) q^{20} +(5.04482 - 7.32646i) q^{21} +(-2.64806 - 2.78203i) q^{22} +(1.61728 + 3.90447i) q^{23} +(4.34386 + 2.26515i) q^{24} +(-1.82984 + 4.41763i) q^{25} +(-0.569349 - 1.47652i) q^{26} +(4.19571 + 3.06529i) q^{27} +(-10.2590 - 0.506530i) q^{28} +(-3.16297 + 0.629154i) q^{29} +(-0.266520 + 1.11324i) q^{30} +5.09619 q^{31} +(-0.412661 - 5.64178i) q^{32} +(-1.86068 + 4.32039i) q^{33} +(7.70012 - 1.33512i) q^{34} +(-0.468226 - 2.35393i) q^{35} +(0.463164 - 5.98210i) q^{36} +(-1.05227 + 0.703105i) q^{37} +(-1.59726 - 4.14227i) q^{38} +(-1.38949 + 1.35120i) q^{39} +(1.25523 - 0.414157i) q^{40} +(-3.53124 + 1.46269i) q^{41} +(4.36161 + 11.7996i) q^{42} +(0.939546 - 4.72342i) q^{43} +(5.37315 - 0.795675i) q^{44} +(1.38214 - 0.234995i) q^{45} +(-5.83132 - 1.31022i) q^{46} +(4.13591 - 4.13591i) q^{47} +(-6.15672 + 3.17723i) q^{48} +(-13.7007 - 13.7007i) q^{49} +(-3.61706 - 5.71353i) q^{50} +(-5.20590 - 8.03182i) q^{51} +(2.17078 + 0.544322i) q^{52} +(-9.20965 - 1.83191i) q^{53} +(-6.96113 + 2.35428i) q^{54} +(0.485698 + 1.17258i) q^{55} +(8.94112 - 11.4482i) q^{56} +(-3.89810 + 3.79069i) q^{57} +(1.84872 - 4.16926i) q^{58} +(1.12252 + 1.67998i) q^{59} +(-1.07000 - 1.21483i) q^{60} +(7.80086 - 1.55169i) q^{61} +(-4.15064 + 5.89191i) q^{62} +(11.1946 - 10.5860i) q^{63} +(6.85878 + 4.11790i) q^{64} +0.522931i q^{65} +(-3.47952 - 5.66998i) q^{66} +(2.54438 + 12.7914i) q^{67} +(-4.72784 + 9.98980i) q^{68} +(1.32763 + 7.19853i) q^{69} +(3.10282 + 1.37584i) q^{70} +(-14.1407 - 5.85725i) q^{71} +(6.53891 + 5.40765i) q^{72} +(-6.64059 + 2.75062i) q^{73} +(0.0441440 - 1.78922i) q^{74} +(-4.69696 + 6.82128i) q^{75} +(6.08995 + 1.52705i) q^{76} +(11.5973 + 7.74908i) q^{77} +(-0.430498 - 2.70694i) q^{78} +(-2.48992 + 2.48992i) q^{79} +(-0.543511 + 1.78853i) q^{80} +(5.99864 + 6.70942i) q^{81} +(1.18498 - 5.27391i) q^{82} +(8.79490 + 5.87657i) q^{83} +(-17.1943 - 4.56766i) q^{84} +(-2.53283 - 0.503811i) q^{85} +(4.69570 + 4.93327i) q^{86} +(-5.58521 - 0.0780209i) q^{87} +(-3.45629 + 6.86015i) q^{88} +(-4.11744 - 1.70550i) q^{89} +(-0.854004 + 1.78933i) q^{90} +(3.19277 + 4.77832i) q^{91} +(6.26417 - 5.67469i) q^{92} +(8.63236 + 1.84279i) q^{93} +(1.41316 + 8.15022i) q^{94} +1.46704i q^{95} +(1.34108 - 9.70575i) q^{96} -2.65039i q^{97} +(26.9986 - 4.68126i) q^{98} +(-4.71404 + 6.64541i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 240 q - 8 q^{3} - 16 q^{4} - 8 q^{6} - 16 q^{7} - 8 q^{9}+O(q^{10}) $ 240 * q - 8 * q^3 - 16 * q^4 - 8 * q^6 - 16 * q^7 - 8 * q^9	$ 240 q - 8 q^{3} - 16 q^{4} - 8 q^{6} - 16 q^{7} - 8 q^{9} - 16 q^{10} - 8 q^{12} - 16 q^{13} - 8 q^{15} - 16 q^{16} - 8 q^{18} - 16 q^{19} - 8 q^{21} - 16 q^{22} - 48 q^{24} - 16 q^{25} - 8 q^{27} - 16 q^{28} - 88 q^{30} - 32 q^{31} - 16 q^{34} - 88 q^{36} - 16 q^{37} - 8 q^{39} - 16 q^{40} - 48 q^{42} - 16 q^{43} - 8 q^{45} - 16 q^{46} - 8 q^{48} - 16 q^{49} - 8 q^{51} + 32 q^{52} - 8 q^{54} - 80 q^{55} - 8 q^{57} + 128 q^{58} - 8 q^{60} - 16 q^{61} + 80 q^{64} - 24 q^{66} - 144 q^{67} - 8 q^{69} + 80 q^{70} - 8 q^{72} - 16 q^{73} - 8 q^{75} + 96 q^{76} + 16 q^{78} - 48 q^{79} - 8 q^{81} + 64 q^{82} + 104 q^{84} - 16 q^{85} - 8 q^{87} + 64 q^{88} + 136 q^{90} - 16 q^{91} - 32 q^{93} + 80 q^{94} + 128 q^{96} - 8 q^{99}+O(q^{100}) $ 240 * q - 8 * q^3 - 16 * q^4 - 8 * q^6 - 16 * q^7 - 8 * q^9 - 16 * q^10 - 8 * q^12 - 16 * q^13 - 8 * q^15 - 16 * q^16 - 8 * q^18 - 16 * q^19 - 8 * q^21 - 16 * q^22 - 48 * q^24 - 16 * q^25 - 8 * q^27 - 16 * q^28 - 88 * q^30 - 32 * q^31 - 16 * q^34 - 88 * q^36 - 16 * q^37 - 8 * q^39 - 16 * q^40 - 48 * q^42 - 16 * q^43 - 8 * q^45 - 16 * q^46 - 8 * q^48 - 16 * q^49 - 8 * q^51 + 32 * q^52 - 8 * q^54 - 80 * q^55 - 8 * q^57 + 128 * q^58 - 8 * q^60 - 16 * q^61 + 80 * q^64 - 24 * q^66 - 144 * q^67 - 8 * q^69 + 80 * q^70 - 8 * q^72 - 16 * q^73 - 8 * q^75 + 96 * q^76 + 16 * q^78 - 48 * q^79 - 8 * q^81 + 64 * q^82 + 104 * q^84 - 16 * q^85 - 8 * q^87 + 64 * q^88 + 136 * q^90 - 16 * q^91 - 32 * q^93 + 80 * q^94 + 128 * q^96 - 8 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/192\mathbb{Z}\right)^\times$.

$n$	$65$	$127$	$133$
$\chi(n)$	$-1$	$-1$	$e\left(\frac{5}{16}\right)$

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 $

$2$	−0.814459	+	1.15614i	−0.575909	+	0.817514i
$2$	−0.814459	+	1.15614i	−0.575909	+	0.817514i
$3$	1.69388	+	0.361602i	0.977965	+	0.208771i
$3$	1.69388	+	0.361602i	0.977965	+	0.208771i
$4$	−0.673315	−	1.88325i	−0.336657	−	0.941627i
$5$	0.388565	−	0.259631i	0.173772	−	0.116111i	−0.465643	−	0.884973i	$-0.654177\pi$
$5$	0.388565	−	0.259631i	0.173772	−	0.116111i	0.639414	+	0.768862i	$0.279177\pi$
$6$	−1.79766	+	1.66386i	−0.733892	+	0.679266i
$7$	1.96536	−	4.74480i	0.742836	−	1.79336i	0.148899	−	0.988852i	$-0.452427\pi$
$7$	1.96536	−	4.74480i	0.742836	−	1.79336i	0.593936	−	0.804512i	$-0.297573\pi$
$8$	2.72569	+	0.755387i	0.963677	+	0.267070i
$9$	2.73849	+	1.22502i	0.912830	+	0.408341i
$10$	−0.0163008	+	0.660694i	−0.00515475	+	0.208930i
$11$	−0.529840	+	2.66369i	−0.159753	+	0.803132i	0.814933	+	0.579555i	$0.196773\pi$
$11$	−0.529840	+	2.66369i	−0.159753	+	0.803132i	−0.974686	+	0.223577i	$0.928227\pi$
$12$	−0.459529	−	3.43349i	−0.132655	−	0.991162i
$13$	−0.621678	+	0.930407i	−0.172423	+	0.258049i	−0.907609	−	0.419816i	$-0.862095\pi$
$13$	−0.621678	+	0.930407i	−0.172423	+	0.258049i	0.735187	+	0.677865i	$0.237095\pi$
$14$	3.88494	+	6.13667i	1.03829	+	1.64009i
$15$	0.752068	−	0.299279i	0.194183	−	0.0772735i
$16$	−3.09329	+	2.53605i	−0.773324	+	0.634011i
$17$	−3.90750	−	3.90750i	−0.947709	−	0.947709i	0.0509905	−	0.998699i	$-0.483762\pi$
$17$	−3.90750	−	3.90750i	−0.947709	−	0.947709i	−0.998699	+	0.0509905i	$0.983762\pi$
$18$	−3.64668	+	2.16834i	−0.859531	+	0.511083i
$19$	−1.74407	+	2.61018i	−0.400117	+	0.598817i	−0.975749	−	0.218892i	$-0.929756\pi$
$19$	−1.74407	+	2.61018i	−0.400117	+	0.598817i	0.575632	+	0.817709i	$0.304756\pi$
$20$	−0.750578	−	0.556954i	−0.167834	−	0.124539i
$21$	5.04482	−	7.32646i	1.10087	−	1.59876i
$22$	−2.64806	−	2.78203i	−0.564568	−	0.593131i
$23$	1.61728	+	3.90447i	0.337227	+	0.814138i	0.997980	+	0.0635343i	$0.0202372\pi$
$23$	1.61728	+	3.90447i	0.337227	+	0.814138i	−0.660753	+	0.750604i	$0.729763\pi$
$24$	4.34386	+	2.26515i	0.886686	+	0.462372i
$25$	−1.82984	+	4.41763i	−0.365968	+	0.883526i
$26$	−0.569349	−	1.47652i	−0.111659	−	0.289570i
$27$	4.19571	+	3.06529i	0.807465	+	0.589915i
$28$	−10.2590	−	0.506530i	−1.93876	−	0.0957252i
$29$	−3.16297	+	0.629154i	−0.587349	+	0.116831i	−0.479814	−	0.877370i	$-0.659296\pi$
$29$	−3.16297	+	0.629154i	−0.587349	+	0.116831i	−0.107535	+	0.994201i	$0.534296\pi$
$30$	−0.266520	+	1.11324i	−0.0486596	+	0.203250i
$31$	5.09619			0.915303			0.457652	−	0.889132i	$-0.348691\pi$
$31$	5.09619			0.915303			0.457652	+	0.889132i	$0.348691\pi$
$32$	−0.412661	−	5.64178i	−0.0729488	−	0.997336i
$33$	−1.86068	+	4.32039i	−0.323903	+	0.752083i
$34$	7.70012	−	1.33512i	1.32056	−	0.228971i
$35$	−0.468226	−	2.35393i	−0.0791446	−	0.397887i
$36$	0.463164	−	5.98210i	0.0771941	−	0.997016i
$37$	−1.05227	+	0.703105i	−0.172992	+	0.115590i	−0.639052	−	0.769163i	$-0.720673\pi$
$37$	−1.05227	+	0.703105i	−0.172992	+	0.115590i	0.466060	+	0.884753i	$0.345673\pi$
$38$	−1.59726	−	4.14227i	−0.259110	−	0.671965i
$39$	−1.38949	+	1.35120i	−0.222496	+	0.216366i
$40$	1.25523	−	0.414157i	0.198469	−	0.0654839i
$41$	−3.53124	+	1.46269i	−0.551488	+	0.228434i	−0.640985	−	0.767553i	$-0.721474\pi$
$41$	−3.53124	+	1.46269i	−0.551488	+	0.228434i	0.0894974	+	0.995987i	$0.471474\pi$
$42$	4.36161	+	11.7996i	0.673011	+	1.82072i
$43$	0.939546	−	4.72342i	0.143279	−	0.720314i	−0.840625	−	0.541618i	$-0.817812\pi$
$43$	0.939546	−	4.72342i	0.143279	−	0.720314i	0.983904	−	0.178696i	$-0.0571880\pi$
$44$	5.37315	−	0.795675i	0.810032	−	0.119953i
$45$	1.38214	−	0.234995i	0.206037	−	0.0350310i
$46$	−5.83132	−	1.31022i	−0.859781	−	0.193182i
$47$	4.13591	−	4.13591i	0.603285	−	0.603285i	−0.337898	−	0.941183i	$-0.609716\pi$
$47$	4.13591	−	4.13591i	0.603285	−	0.603285i	0.941183	+	0.337898i	$0.109716\pi$
$48$	−6.15672	+	3.17723i	−0.888646	+	0.458593i
$49$	−13.7007	−	13.7007i	−1.95724	−	1.95724i
$50$	−3.61706	−	5.71353i	−0.511530	−	0.808015i
$51$	−5.20590	−	8.03182i	−0.728972	−	1.12468i
$52$	2.17078	+	0.544322i	0.301033	+	0.0754838i
$53$	−9.20965	−	1.83191i	−1.26504	−	0.251633i	−0.483422	−	0.875387i	$-0.660606\pi$
$53$	−9.20965	−	1.83191i	−1.26504	−	0.251633i	−0.781620	+	0.623755i	$0.785606\pi$
$54$	−6.96113	+	2.35428i	−0.947290	+	0.320377i
$55$	0.485698	+	1.17258i	0.0654915	+	0.158110i
$56$	8.94112	−	11.4482i	1.19481	−	1.52984i
$57$	−3.89810	+	3.79069i	−0.516316	+	0.502089i
$58$	1.84872	−	4.16926i	0.242749	−	0.547450i
$59$	1.12252	+	1.67998i	0.146140	+	0.218714i	0.897317	−	0.441387i	$-0.145513\pi$
$59$	1.12252	+	1.67998i	0.146140	+	0.218714i	−0.751177	+	0.660101i	$0.770513\pi$
$60$	−1.07000	−	1.21483i	−0.138136	−	0.156833i
$61$	7.80086	−	1.55169i	0.998798	−	0.198673i	0.331493	−	0.943458i	$-0.392448\pi$
$61$	7.80086	−	1.55169i	0.998798	−	0.198673i	0.667305	+	0.744784i	$0.267448\pi$
$62$	−4.15064	+	5.89191i	−0.527131	+	0.748273i
$63$	11.1946	−	10.5860i	1.41039	−	1.33371i
$64$	6.85878	+	4.11790i	0.857347	+	0.514738i
$65$			0.522931i			0.0648616i
$66$	−3.47952	−	5.66998i	−0.428299	−	0.697926i
$67$	2.54438	+	12.7914i	0.310845	+	1.56272i	0.748224	+	0.663446i	$0.230907\pi$
$67$	2.54438	+	12.7914i	0.310845	+	1.56272i	−0.437379	+	0.899277i	$0.644093\pi$
$68$	−4.72784	+	9.98980i	−0.573335	+	1.21144i
$69$	1.32763	+	7.19853i	0.159828	+	0.866601i
$70$	3.10282	+	1.37584i	0.370858	+	0.164445i
$71$	−14.1407	−	5.85725i	−1.67819	−	0.695128i	−0.678950	−	0.734184i	$-0.737565\pi$
$71$	−14.1407	−	5.85725i	−1.67819	−	0.695128i	−0.999237	+	0.0390566i	$0.987565\pi$
$72$	6.53891	+	5.40765i	0.770618	+	0.637298i
$73$	−6.64059	+	2.75062i	−0.777223	+	0.321936i	−0.735794	−	0.677205i	$-0.763191\pi$
$73$	−6.64059	+	2.75062i	−0.777223	+	0.321936i	−0.0414286	+	0.999141i	$0.513191\pi$
$74$	0.0441440	−	1.78922i	0.00513164	−	0.207993i
$75$	−4.69696	+	6.82128i	−0.542359	+	0.787654i
$76$	6.08995	+	1.52705i	0.698565	+	0.175165i
$77$	11.5973	+	7.74908i	1.32164	+	0.883090i
$78$	−0.430498	−	2.70694i	−0.0487443	−	0.306501i
$79$	−2.48992	+	2.48992i	−0.280137	+	0.280137i	−0.833164	−	0.553026i	$-0.813473\pi$
$79$	−2.48992	+	2.48992i	−0.280137	+	0.280137i	0.553026	+	0.833164i	$0.313473\pi$
$80$	−0.543511	+	1.78853i	−0.0607664	+	0.199964i
$81$	5.99864	+	6.70942i	0.666516	+	0.745491i
$82$	1.18498	−	5.27391i	0.130859	−	0.582406i
$83$	8.79490	+	5.87657i	0.965366	+	0.645037i	0.935055	−	0.354504i	$-0.115350\pi$
$83$	8.79490	+	5.87657i	0.965366	+	0.645037i	0.0303112	+	0.999541i	$0.490350\pi$
$84$	−17.1943	−	4.56766i	−1.87606	−	0.498373i
$85$	−2.53283	−	0.503811i	−0.274724	−	0.0546460i
$86$	4.69570	+	4.93327i	0.506351	+	0.531968i
$87$	−5.58521	−	0.0780209i	−0.598798	−	0.00836472i
$88$	−3.45629	+	6.86015i	−0.368442	+	0.731294i
$89$	−4.11744	−	1.70550i	−0.436448	−	0.180783i	0.153631	−	0.988128i	$-0.450903\pi$
$89$	−4.11744	−	1.70550i	−0.436448	−	0.180783i	−0.590079	+	0.807346i	$0.700903\pi$
$90$	−0.854004	+	1.78933i	−0.0900200	+	0.188612i
$91$	3.19277	+	4.77832i	0.334693	+	0.500904i
$92$	6.26417	−	5.67469i	0.653085	−	0.591628i
$93$	8.63236	+	1.84279i	0.895134	+	0.191089i
$94$	1.41316	+	8.15022i	0.145756	+	0.840631i
$95$			1.46704i			0.150515i
$96$	1.34108	−	9.70575i	0.136873	−	0.990589i
$97$		−	2.65039i		−	0.269106i	−0.990906	−	0.134553i	$-0.957040\pi$
$97$		−	2.65039i		−	0.269106i	0.990906	−	0.134553i	$-0.0429598\pi$
$98$	26.9986	−	4.68126i	2.72727	−	0.472879i
$99$	−4.71404	+	6.64541i	−0.473778	+	0.667889i
$100$	9.55158	+	0.471604i	0.955158	+	0.0471604i
$101$	−2.98232	−	4.46335i	−0.296751	−	0.444120i	0.652893	−	0.757450i	$-0.273555\pi$
$101$	−2.98232	−	4.46335i	−0.296751	−	0.444120i	−0.949644	+	0.313330i	$0.898555\pi$
$102$	13.5259	+	0.522839i	1.33926	+	0.0517688i
$103$	2.33998	+	0.969252i	0.230565	+	0.0955033i	0.494975	−	0.868907i	$-0.335177\pi$
$103$	2.33998	+	0.969252i	0.230565	+	0.0955033i	−0.264410	+	0.964410i	$0.585177\pi$
$104$	−2.39732	+	2.06639i	−0.235077	+	0.202627i
$105$	0.0580643	−	4.15660i	0.00566650	−	0.405642i
$106$	9.61882	−	9.15562i	0.934263	−	0.889272i
$107$	10.4486	+	2.07835i	1.01010	+	0.200922i	0.672287	−	0.740290i	$-0.265312\pi$
$107$	10.4486	+	2.07835i	1.01010	+	0.200922i	0.337816	+	0.941212i	$0.390312\pi$
$108$	2.94768	−	9.96550i	0.283641	−	0.958931i
$109$	−9.30630	−	6.21827i	−0.891382	−	0.595603i	0.0233214	−	0.999728i	$-0.492576\pi$
$109$	−9.30630	−	6.21827i	−0.891382	−	0.595603i	−0.914704	+	0.404125i	$0.867576\pi$
$110$	−1.75124	−	0.393482i	−0.166975	−	0.0375171i
$111$	−2.03667	+	0.810476i	−0.193312	+	0.0769270i
$112$	5.95358	+	19.6613i	0.562561	+	1.85782i
$113$	7.36013	−	7.36013i	0.692383	−	0.692383i	−0.270373	−	0.962756i	$-0.587147\pi$
$113$	7.36013	−	7.36013i	0.692383	−	0.692383i	0.962756	+	0.270373i	$0.0871469\pi$
$114$	−1.20773	−	7.59410i	−0.113114	−	0.711253i
$115$	1.64214	+	1.09724i	0.153130	+	0.102319i
$116$	3.31453	+	5.53306i	0.307747	+	0.513732i
$117$	−2.84223	+	1.78634i	−0.262764	+	0.165147i
$118$	−2.85654	−	0.0704770i	−0.262965	−	0.00648793i
$119$	−26.2199	+	10.8607i	−2.40358	+	0.995595i
$120$	2.27598	−	0.247640i	0.207767	−	0.0226063i
$121$	3.34818	+	1.38686i	0.304380	+	0.126078i
$122$	−4.55951	+	10.2827i	−0.412799	+	0.930949i
$123$	−6.51043	+	1.20072i	−0.587026	+	0.108266i
$124$	−3.43134	−	9.59743i	−0.308144	−	0.861874i
$125$	0.891792	+	4.48334i	0.0797643	+	0.401002i
$126$	3.12131	+	21.5643i	0.278068	+	1.92110i
$127$		−	14.8504i		−	1.31776i	−0.752249	−	0.658879i	$-0.771031\pi$
$127$		−	14.8504i		−	1.31776i	0.752249	−	0.658879i	$-0.228969\pi$
$128$	−10.3471	+	4.57584i	−0.914560	+	0.404451i
$129$	3.29948	−	7.66118i	0.290503	−	0.674529i
$130$	−0.604581	−	0.425905i	−0.0530252	−	0.0373544i
$131$	−4.74523	+	0.943886i	−0.414593	+	0.0824677i	−0.397979	−	0.917394i	$-0.630288\pi$
$131$	−4.74523	+	0.943886i	−0.414593	+	0.0824677i	−0.0166135	+	0.999862i	$0.505288\pi$
$132$	9.38921	+	0.595157i	0.817226	+	0.0518018i
$133$	8.95707	+	13.4052i	0.776676	+	1.16238i
$134$	−16.8610	−	7.47644i	−1.45657	−	0.645866i
$135$	2.42615	+	0.101727i	0.208810	+	0.00875528i
$136$	−7.69897	−	13.6023i	−0.660181	−	1.16639i
$137$	3.99886	+	9.65410i	0.341646	+	0.824806i	0.997550	+	0.0699613i	$0.0222876\pi$
$137$	3.99886	+	9.65410i	0.341646	+	0.824806i	−0.655904	+	0.754844i	$0.727712\pi$
$138$	−9.40380	−	4.32798i	−0.800505	−	0.368422i
$139$	2.69646	+	0.536359i	0.228711	+	0.0454934i	0.308115	−	0.951349i	$-0.400302\pi$
$139$	2.69646	+	0.536359i	0.228711	+	0.0454934i	−0.0794044	+	0.996842i	$0.525302\pi$
$140$	−4.11779	+	2.46672i	−0.348017	+	0.208476i
$141$	8.50131	−	5.51020i	0.715939	−	0.464043i
$142$	18.2888	−	11.5781i	1.53476	−	0.971610i
$143$	−2.14892	−	2.14892i	−0.179702	−	0.179702i
$144$	−11.5777	+	3.15558i	−0.964805	+	0.262965i
$145$	−1.06567	+	1.06567i	−0.0884993	+	0.0884993i
$146$	2.22838	−	9.91772i	0.184422	−	0.820796i
$147$	−18.2532	−	28.1616i	−1.50550	−	2.32273i
$148$	2.03264	+	1.50828i	0.167082	+	0.123980i
$149$	−2.23824	+	11.2524i	−0.183364	+	0.921831i	0.774053	+	0.633121i	$0.218226\pi$
$149$	−2.23824	+	11.2524i	−0.183364	+	0.921831i	−0.957417	+	0.288710i	$0.906774\pi$
$150$	−4.06087	−	10.9860i	−0.331568	−	0.897003i
$151$	−0.383275	+	0.158758i	−0.0311905	+	0.0129195i	−0.398224	−	0.917288i	$-0.630373\pi$
$151$	−0.383275	+	0.158758i	−0.0311905	+	0.0129195i	0.367034	+	0.930208i	$0.380373\pi$
$152$	−6.72549	+	5.79710i	−0.545509	+	0.470207i
$153$	−5.91387	−	15.4874i	−0.478108	−	1.25208i
$154$	−18.4046	+	7.09681i	−1.48308	+	0.571877i
$155$	1.98020	−	1.32313i	0.159054	−	0.106276i
$156$	3.48022	+	1.70697i	0.278641	+	0.136667i
$157$	1.73652	+	8.73005i	0.138589	+	0.696734i	0.986126	+	0.165998i	$0.0530845\pi$
$157$	1.73652	+	8.73005i	0.138589	+	0.696734i	−0.847537	+	0.530736i	$0.821915\pi$
$158$	−0.850756	−	4.90662i	−0.0676825	−	0.390350i
$159$	−14.9377	−	6.43327i	−1.18463	−	0.510192i
$160$	−1.62513	−	2.08506i	−0.128478	−	0.164839i
$161$	21.7045			1.71055
$162$	−12.6427	+	1.47072i	−0.993302	+	0.115551i
$163$	−14.7734	+	2.93861i	−1.15714	+	0.230170i	−0.736101	−	0.676872i	$-0.763335\pi$
$163$	−14.7734	+	2.93861i	−1.15714	+	0.230170i	−0.421040	+	0.907042i	$0.638335\pi$
$164$	5.13225	+	5.66538i	0.400762	+	0.442392i
$165$	0.398710	+	2.16184i	0.0310395	+	0.168299i
$166$	−13.9572	+	5.38191i	−1.08329	+	0.417717i
$167$	7.17952	−	17.3329i	0.555568	−	1.34126i	−0.357675	−	0.933846i	$-0.616430\pi$
$167$	7.17952	−	17.3329i	0.555568	−	1.34126i	0.913243	−	0.407414i	$-0.133570\pi$
$168$	19.2849	−	16.1589i	1.48786	−	1.24668i
$169$	4.49571	+	10.8536i	0.345824	+	0.834893i
$170$	2.64536	−	2.51797i	0.202890	−	0.193119i
$171$	−7.97364	+	5.01143i	−0.609760	+	0.383234i
$172$	−9.52800	+	1.41094i	−0.726504	+	0.107583i
$173$	−1.81454	+	2.71565i	−0.137957	+	0.206467i	−0.894015	−	0.448038i	$-0.852123\pi$
$173$	−1.81454	+	2.71565i	−0.137957	+	0.206467i	0.756058	+	0.654505i	$0.227123\pi$
$174$	4.63913	−	6.39374i	0.351691	−	0.484708i
$175$	17.3645	+	17.3645i	1.31263	+	1.31263i
$176$	−5.11628	−	9.58326i	−0.385654	−	0.722366i
$177$	1.29394	+	3.25159i	0.0972588	+	0.244405i
$178$	5.32528	−	3.37128i	0.399147	−	0.252688i
$179$	12.9932	−	19.4456i	0.971154	−	1.45343i	0.0815673	−	0.996668i	$-0.474007\pi$
$179$	12.9932	−	19.4456i	0.971154	−	1.45343i	0.889587	−	0.456767i	$-0.150993\pi$
$180$	−1.37317	−	2.44469i	−0.102350	−	0.182216i
$181$	3.78167	−	19.0117i	0.281089	−	1.41313i	−0.539680	−	0.841870i	$-0.681455\pi$
$181$	3.78167	−	19.0117i	0.281089	−	1.41313i	0.820769	−	0.571260i	$-0.193545\pi$
$182$	−8.12478	−	0.200456i	−0.602249	−	0.0148588i
$183$	13.7749	+	0.192424i	1.01827	+	0.0142244i
$184$	1.45883	+	11.8640i	0.107546	+	0.874629i
$185$	−0.226328	+	0.546405i	−0.0166400	+	0.0401725i
$186$	−9.16122	+	8.47933i	−0.671733	+	0.621735i
$187$	12.4787	−	8.33801i	0.912534	−	0.609736i
$188$	−10.5737	−	5.00420i	−0.771169	−	0.364969i
$189$	22.7902	−	13.8834i	1.65775	−	1.00987i
$190$	−1.69610	−	1.19484i	−0.123048	−	0.0866831i
$191$	−13.4505			−0.973243			−0.486622	−	0.873613i	$-0.661771\pi$
$191$	−13.4505			−0.973243			−0.486622	+	0.873613i	$0.661771\pi$
$192$	10.1289	+	9.45540i	0.730993	+	0.682385i
$193$	0.579308			0.0416995			0.0208497	−	0.999783i	$-0.493363\pi$
$193$	0.579308			0.0416995			0.0208497	+	0.999783i	$0.493363\pi$
$194$	3.06422	+	2.15863i	0.219998	+	0.154981i
$195$	−0.189093	+	0.885784i	−0.0135412	+	0.0634323i
$196$	−16.5770	+	35.0268i	−1.18407	+	2.50191i
$197$	11.8974	−	7.94956i	0.847651	−	0.566383i	−0.0541502	−	0.998533i	$-0.517245\pi$
$197$	11.8974	−	7.94956i	0.847651	−	0.566383i	0.901802	+	0.432150i	$0.142245\pi$
$198$	−3.84363	−	10.8625i	−0.273155	−	0.771964i
$199$	−4.24524	+	10.2489i	−0.300937	+	0.726527i	0.698998	+	0.715124i	$0.253630\pi$
$199$	−4.24524	+	10.2489i	−0.300937	+	0.726527i	−0.999935	+	0.0114031i	$0.996370\pi$
$200$	−8.32461	+	10.6589i	−0.588639	+	0.753695i
$201$	−0.315526	+	22.5873i	−0.0222555	+	1.59318i
$202$	7.58923	+	0.187243i	0.533976	+	0.0131744i
$203$	−3.23117	+	16.2442i	−0.226783	+	1.14012i
$204$	−11.6207	+	15.2120i	−0.813615	+	1.06505i
$205$	−0.992359	+	1.48517i	−0.0693094	+	0.103729i
$206$	−3.02641	+	1.91593i	−0.210860	+	0.133489i
$207$	−0.354148	+	12.6736i	−0.0246150	+	0.880873i
$208$	−0.436521	−	4.45463i	−0.0302673	−	0.308873i
$209$	−6.02863	−	6.02863i	−0.417009	−	0.417009i
$210$	4.75831	+	3.45251i	0.328355	+	0.238246i
$211$	8.96053	−	13.4104i	0.616868	−	0.923209i	−0.383132	−	0.923694i	$-0.625154\pi$
$211$	8.96053	−	13.4104i	0.616868	−	0.923209i	1.00000		0.000485178i	$0.000154437\pi$
$212$	2.75103	+	18.5776i	0.188942	+	1.27591i
$213$	−21.8346	−	15.0348i	−1.49609	−	1.03017i
$214$	−10.9128	+	10.3873i	−0.745984	+	0.710060i
$215$	−0.861270	−	2.07929i	−0.0587381	−	0.141806i
$216$	9.12074	+	11.5244i	0.620588	+	0.784137i
$217$	10.0158	−	24.1804i	0.679920	−	1.64147i
$218$	14.7688	−	5.69485i	1.00027	−	0.385704i
$219$	−12.2430	+	2.25799i	−0.827307	+	0.152581i
$220$	1.88124	−	1.70421i	0.126833	−	0.114898i
$221$	6.06478	−	1.20636i	0.407961	−	0.0811485i
$222$	0.721760	−	3.01477i	0.0484414	−	0.202338i
$223$	−5.46826			−0.366182			−0.183091	−	0.983096i	$-0.558610\pi$
$223$	−5.46826			−0.366182			−0.183091	+	0.983096i	$0.558610\pi$
$224$	−27.5801	−	9.13014i	−1.84278	−	0.610033i
$225$	−10.4227	+	9.85603i	−0.694847	+	0.657069i
$226$	2.51481	+	14.5039i	0.167283	+	0.964782i
$227$	−3.68148	−	18.5080i	−0.244348	−	1.22842i	−0.886821	−	0.462113i	$-0.847092\pi$
$227$	−3.68148	−	18.5080i	−0.244348	−	1.22842i	0.642473	−	0.766308i	$-0.277908\pi$
$228$	9.76348	+	4.78878i	0.646602	+	0.317145i
$229$	−1.65945	+	1.10881i	−0.109660	+	0.0732722i	−0.609191	−	0.793024i	$-0.708506\pi$
$229$	−1.65945	+	1.10881i	−0.109660	+	0.0732722i	0.499531	+	0.866296i	$0.333506\pi$
$230$	−2.60602	+	1.00488i	−0.171836	+	0.0662601i
$231$	16.8424	+	17.3197i	1.10815	+	1.13955i
$232$	−9.09654	−	0.674389i	−0.597217	−	0.0442758i
$233$	0.901268	−	0.373317i	0.0590440	−	0.0244568i	−0.352966	−	0.935636i	$-0.614827\pi$
$233$	0.901268	−	0.373317i	0.0590440	−	0.0244568i	0.412010	+	0.911179i	$0.364827\pi$
$234$	0.249620	−	4.74091i	0.0163182	−	0.309923i
$235$	0.533261	−	2.68088i	0.0347861	−	0.174881i
$236$	2.40801	−	3.24515i	0.156748	−	0.211241i
$237$	−5.11799	+	3.31727i	−0.332449	+	0.215480i
$238$	8.79863	−	39.1595i	0.570330	−	2.53833i
$239$	10.9784	−	10.9784i	0.710135	−	0.710135i	−0.256429	−	0.966563i	$-0.582546\pi$
$239$	10.9784	−	10.9784i	0.710135	−	0.710135i	0.966563	+	0.256429i	$0.0825458\pi$
$240$	−1.56738	+	2.83304i	−0.101174	+	0.182872i
$241$	−1.33914	−	1.33914i	−0.0862617	−	0.0862617i	0.662659	−	0.748921i	$-0.269428\pi$
$241$	−1.33914	−	1.33914i	−0.0862617	−	0.0862617i	−0.748921	+	0.662659i	$0.769428\pi$
$242$	−4.33036	+	2.74142i	−0.278366	+	0.176225i
$243$	7.73487	+	13.5341i	0.496192	+	0.868213i
$244$	−8.17466	−	13.6462i	−0.523329	−	0.873611i
$245$	−8.88075	−	1.76649i	−0.567370	−	0.112857i
$246$	3.91427	−	8.50490i	0.249565	−	0.542253i
$247$	−1.34428	−	3.24539i	−0.0855347	−	0.206499i
$248$	13.8906	+	3.84960i	0.882057	+	0.244450i
$249$	12.7726	+	13.1345i	0.809429	+	0.832363i
$250$	−5.90969	−	2.62046i	−0.373762	−	0.165732i
$251$	7.80541	+	11.6816i	0.492673	+	0.737337i	0.991605	−	0.129304i	$-0.0412742\pi$
$251$	7.80541	+	11.6816i	0.492673	+	0.737337i	−0.498932	+	0.866641i	$0.666274\pi$
$252$	−27.4735	−	13.9546i	−1.73067	−	0.879056i
$253$	−11.2572	+	2.23919i	−0.707733	+	0.140777i
$254$	17.1691	+	12.0950i	1.07728	+	0.758909i
$255$	−4.10814	−	1.76927i	−0.257262	−	0.110796i
$256$	3.13695	−	15.6895i	0.196059	−	0.980592i
$257$		−	12.9832i		−	0.809872i	−0.914345	−	0.404936i	$-0.867294\pi$
$257$		−	12.9832i		−	0.809872i	0.914345	−	0.404936i	$-0.132706\pi$
$258$	6.17010	+	10.0544i	0.384134	+	0.625958i
$259$	1.26800	+	6.37467i	0.0787897	+	0.396103i
$260$	0.984812	−	0.352097i	0.0610754	−	0.0218361i
$261$	−9.43249	−	2.15178i	−0.583857	−	0.133192i
$262$	2.77353	−	6.25490i	0.171349	−	0.386429i
$263$	14.3451	+	5.94195i	0.884559	+	0.366396i	0.778263	−	0.627938i	$-0.216101\pi$
$263$	14.3451	+	5.94195i	0.884559	+	0.366396i	0.106296	+	0.994335i	$0.466101\pi$
$264$	−8.33520	+	10.3705i	−0.512996	+	0.638260i
$265$	−4.05417	+	1.67929i	−0.249046	+	0.103158i
$266$	−22.7934	−	0.562364i	−1.39755	−	0.0344807i
$267$	−6.35776	−	4.37780i	−0.389089	−	0.267917i
$268$	22.3764	−	13.4044i	1.36685	−	0.818802i
$269$	−2.09179	−	1.39769i	−0.127539	−	0.0852188i	0.490164	−	0.871630i	$-0.336937\pi$
$269$	−2.09179	−	1.39769i	−0.127539	−	0.0852188i	−0.617703	+	0.786411i	$0.711937\pi$
$270$	−2.09361	+	2.72212i	−0.127413	+	0.165663i
$271$	5.00061	−	5.00061i	0.303765	−	0.303765i	−0.538720	−	0.842485i	$-0.681092\pi$
$271$	5.00061	−	5.00061i	0.303765	−	0.303765i	0.842485	+	0.538720i	$0.181092\pi$
$272$	21.9967	+	2.17745i	1.33374	+	0.132027i
$273$	3.68034	+	9.24843i	0.222744	+	0.559741i
$274$	−14.4184	−	3.23963i	−0.871047	−	0.195713i
$275$	−10.7977	−	7.21476i	−0.651123	−	0.435067i
$276$	12.6628	−	7.34714i	0.762208	−	0.442246i
$277$	−5.12109	−	1.01865i	−0.307697	−	0.0612047i	0.0388269	−	0.999246i	$-0.487638\pi$
$277$	−5.12109	−	1.01865i	−0.307697	−	0.0612047i	−0.346523	+	0.938041i	$0.612638\pi$
$278$	−2.81626	+	2.68064i	−0.168908	+	0.160774i
$279$	13.9559	+	6.24295i	0.835516	+	0.373756i
$280$	0.501890	−	6.76978i	0.0299937	−	0.404572i
$281$	−4.71909	−	1.95471i	−0.281517	−	0.116608i	0.237457	−	0.971398i	$-0.423686\pi$
$281$	−4.71909	−	1.95471i	−0.281517	−	0.116608i	−0.518975	+	0.854790i	$0.673686\pi$
$282$	−0.553401	+	14.3165i	−0.0329545	+	0.852537i
$283$	9.24722	+	13.8394i	0.549690	+	0.822669i	0.997441	−	0.0714889i	$-0.0227750\pi$
$283$	9.24722	+	13.8394i	0.549690	+	0.822669i	−0.447751	+	0.894158i	$0.647775\pi$
$284$	−1.50958	+	30.5742i	−0.0895774	+	1.81425i
$285$	−0.530484	+	2.48500i	−0.0314232	+	0.147199i
$286$	4.23466	−	0.734245i	0.250401	−	0.0434168i
$287$			19.6297i			1.15871i
$288$	5.78124	−	15.9555i	0.340663	−	0.940185i
$289$			13.5372i			0.796303i
$290$	−0.364120	−	2.10001i	−0.0213818	−	0.123317i
$291$	0.958384	−	4.48945i	0.0561815	−	0.263176i
$292$	9.65133	+	10.6539i	0.564802	+	0.623472i
$293$	9.36383	+	14.0140i	0.547041	+	0.818704i	0.997242	−	0.0742231i	$-0.0236477\pi$
$293$	9.36383	+	14.0140i	0.547041	+	0.818704i	−0.450201	+	0.892927i	$0.648648\pi$
$294$	47.4252	+	1.83321i	2.76589	+	0.106915i
$295$	0.872348	+	0.361338i	0.0507901	+	0.0210379i
$296$	−3.39928	+	1.12158i	−0.197579	+	0.0651902i
$297$	−10.3880	+	9.55195i	−0.602774	+	0.554260i
$298$	−11.1864	−	11.7523i	−0.648009	−	0.680793i
$299$	−4.63818	−	0.922591i	−0.268233	−	0.0533548i
$300$	16.0087	+	4.25271i	0.924265	+	0.245530i
$301$	−20.5651	−	13.7412i	−1.18535	−	0.792027i
$302$	0.128616	−	0.572421i	0.00740101	−	0.0329391i
$303$	−3.43774	−	8.63881i	−0.197493	−	0.496287i
$304$	−1.22463	−	12.4971i	−0.0702371	−	0.716758i
$305$	2.62828	−	2.62828i	0.150495	−	0.150495i
$306$	22.7222	+	5.77661i	1.29894	+	0.330227i
$307$	−14.0403	−	9.38146i	−0.801325	−	0.535428i	0.0861512	−	0.996282i	$-0.472543\pi$
$307$	−14.0403	−	9.38146i	−0.801325	−	0.535428i	−0.887476	+	0.460854i	$0.847543\pi$
$308$	6.78485	−	27.0583i	0.386603	−	1.54179i
$309$	3.61318	+	2.48794i	0.205546	+	0.141534i
$310$	−0.0830718	+	3.36702i	−0.00471816	+	0.191234i
$311$	20.8277	−	8.62713i	1.18103	−	0.489200i	0.296208	−	0.955123i	$-0.404278\pi$
$311$	20.8277	−	8.62713i	1.18103	−	0.489200i	0.884825	+	0.465924i	$0.154278\pi$
$312$	−4.80800	+	2.63336i	−0.272199	+	0.149085i
$313$	24.5842	+	10.1831i	1.38958	+	0.575584i	0.947026	−	0.321157i	$-0.104072\pi$
$313$	24.5842	+	10.1831i	1.38958	+	0.575584i	0.442557	+	0.896741i	$0.354072\pi$
$314$	−11.5075	−	5.10261i	−0.649404	−	0.287957i
$315$	1.60139	−	7.01980i	0.0902279	−	0.395521i
$316$	6.36564	+	3.01265i	0.358095	+	0.169475i
$317$	3.61242	+	18.1609i	0.202894	+	1.02002i	0.939201	+	0.343369i	$0.111568\pi$
$317$	3.61242	+	18.1609i	0.202894	+	1.02002i	−0.736307	+	0.676648i	$0.763432\pi$
$318$	19.6039	−	12.0304i	1.09933	−	0.674630i
$319$		−	8.75852i		−	0.490383i
$320$	3.73422	−	0.180677i	0.208749	−	0.0101002i
$321$	16.9472	+	7.29871i	0.945898	+	0.407375i
$322$	−17.6774	+	25.0934i	−0.985122	+	1.39840i
$323$	17.0143	−	3.38434i	0.946698	−	0.188310i
$324$	8.59657	−	15.8145i	0.477587	−	0.878584i
$325$	−2.97262	−	4.44884i	−0.164891	−	0.246777i
$326$	8.63487	−	19.4735i	0.478241	−	1.07854i
$327$	−13.5153	−	13.8982i	−0.747396	−	0.768573i
$328$	−10.7300	+	1.31938i	−0.592464	+	0.0728506i
$329$	−11.4955	−	27.7526i	−0.633768	−	1.53005i
$330$	−2.82412	−	1.29977i	−0.155463	−	0.0715498i
$331$	−27.2185	−	5.41409i	−1.49606	−	0.297585i	−0.621853	−	0.783134i	$-0.713620\pi$
$331$	−27.2185	−	5.41409i	−1.49606	−	0.297585i	−0.874210	+	0.485548i	$0.838620\pi$
$332$	5.14533	−	20.5198i	0.282387	−	1.12617i
$333$	−3.74295	+	0.636390i	−0.205113	+	0.0348740i
$334$	14.1918	+	22.4175i	0.776542	+	1.22663i
$335$	4.30971	+	4.30971i	0.235465	+	0.235465i
$336$	2.97513	+	35.4568i	0.162307	+	1.93433i
$337$	8.10914	−	8.10914i	0.441733	−	0.441733i	−0.450861	−	0.892594i	$-0.648883\pi$
$337$	8.10914	−	8.10914i	0.441733	−	0.441733i	0.892594	+	0.450861i	$0.148883\pi$
$338$	−16.2098	−	3.64215i	−0.881699	−	0.198107i
$339$	15.1287	−	9.80578i	0.821675	−	0.532577i
$340$	0.756586	+	5.10918i	0.0410317	+	0.277084i
$341$	−2.70017	+	13.5747i	−0.146222	+	0.735109i
$342$	0.700289	−	13.3002i	0.0378673	−	0.719195i
$343$	−58.7203	+	24.3227i	−3.17060	+	1.31330i
$344$	6.12892	−	12.1649i	0.330449	−	0.655885i
$345$	2.38483	+	2.45240i	0.128395	+	0.132033i
$346$	−1.66180	−	4.30964i	−0.0893390	−	0.231688i
$347$	14.9616	−	9.99704i	0.803182	−	0.536669i	−0.0848809	−	0.996391i	$-0.527051\pi$
$347$	14.9616	−	9.99704i	0.803182	−	0.536669i	0.888063	+	0.459722i	$0.152051\pi$
$348$	3.61367	+	10.5709i	0.193713	+	0.566660i
$349$	−3.59673	−	18.0820i	−0.192529	−	0.967907i	−0.949334	−	0.314267i	$-0.898241\pi$
$349$	−3.59673	−	18.0820i	−0.192529	−	0.967907i	0.756806	−	0.653640i	$-0.226759\pi$
$350$	−34.2184	+	5.93310i	−1.82905	+	0.317137i
$351$	−5.46035	+	1.99810i	−0.291452	+	0.106651i
$352$	15.2466	+	1.89004i	0.812646	+	0.100740i
$353$	11.7754			0.626741			0.313371	−	0.949631i	$-0.398542\pi$
$353$	11.7754			0.626741			0.313371	+	0.949631i	$0.398542\pi$
$354$	−4.81316	−	1.15231i	−0.255816	−	0.0612444i
$355$	−7.01529	+	1.39543i	−0.372333	+	0.0740616i
$356$	−0.439557	+	8.90253i	−0.0232965	+	0.471833i
$357$	−48.3408	+	8.91553i	−2.55847	+	0.471860i
$358$	11.8995	+	30.8595i	0.628906	+	1.63098i
$359$	−7.48596	+	18.0727i	−0.395094	+	0.953842i	0.593718	+	0.804673i	$0.297660\pi$
$359$	−7.48596	+	18.0727i	−0.395094	+	0.953842i	−0.988812	+	0.149168i	$0.952340\pi$
$360$	3.94479	+	0.403523i	0.207908	+	0.0212675i
$361$	3.49970	+	8.44903i	0.184195	+	0.444686i
$362$	18.9002	+	19.8564i	0.993371	+	1.04363i
$363$	5.16994	+	3.55989i	0.271352	+	0.186846i
$364$	6.84905	−	9.23011i	0.358988	−	0.483789i
$365$	−1.86616	+	2.79290i	−0.0976791	+	0.146187i
$366$	−11.4415	+	15.7689i	−0.598058	+	0.824255i
$367$	4.40953	+	4.40953i	0.230176	+	0.230176i	0.812766	−	0.582590i	$-0.197961\pi$
$367$	4.40953	+	4.40953i	0.230176	+	0.230176i	−0.582590	+	0.812766i	$0.697961\pi$
$368$	−14.9046	−	7.97617i	−0.776958	−	0.415786i
$369$	−11.4621	−	0.320295i	−0.596693	−	0.0166739i
$370$	−0.447385	−	0.706691i	−0.0232584	−	0.0367391i
$371$	−26.7923	+	40.0975i	−1.39099	+	2.08176i
$372$	−2.34185	−	17.4977i	−0.121419	−	0.907214i
$373$	2.12767	−	10.6965i	0.110167	−	0.553846i	−0.885796	−	0.464075i	$-0.846387\pi$
$373$	2.12767	−	10.6965i	0.110167	−	0.553846i	0.995962	−	0.0897703i	$-0.0286133\pi$
$374$	−0.523496	+	21.2181i	−0.0270694	+	1.09716i
$375$	−0.110590	+	7.91673i	−0.00571087	+	0.408818i
$376$	14.3974	−	8.14900i	0.742491	−	0.420253i
$377$	1.38098	−	3.33398i	0.0711242	−	0.171709i
$378$	−2.51056	+	37.6562i	−0.129129	+	1.93682i
$379$	20.5463	−	13.7286i	1.05539	−	0.705191i	0.0983539	−	0.995152i	$-0.468642\pi$
$379$	20.5463	−	13.7286i	1.05539	−	0.705191i	0.957039	+	0.289961i	$0.0936423\pi$
$380$	2.76281	−	0.987780i	0.141729	−	0.0506720i
$381$	5.36992	−	25.1548i	0.275109	−	1.28872i
$382$	10.9549	−	15.5506i	0.560500	−	0.795640i
$383$	12.0972			0.618140			0.309070	−	0.951039i	$-0.399982\pi$
$383$	12.0972			0.618140			0.309070	+	0.951039i	$0.399982\pi$
$384$	−19.1814	+	4.00943i	−0.978845	+	0.204605i
$385$	6.51822			0.332199
$386$	−0.471822	+	0.669760i	−0.0240151	+	0.0340899i
$387$	8.35923	−	11.7841i	0.424923	−	0.599017i
$388$	−4.99135	+	1.78454i	−0.253398	+	0.0905965i
$389$	−13.5442	+	9.04994i	−0.686717	+	0.458850i	−0.849345	−	0.527838i	$-0.823003\pi$
$389$	−13.5442	+	9.04994i	−0.686717	+	0.458850i	0.162628	+	0.986687i	$0.448003\pi$
$390$	−0.870082	−	0.940052i	−0.0440583	−	0.0476014i
$391$	8.93718	−	21.5763i	0.451973	−	1.09116i
$392$	−26.9945	−	47.6932i	−1.36343	−	2.40887i
$393$	−8.37919	−	0.117051i	−0.422674	−	0.00590442i
$394$	−0.499108	+	20.2296i	−0.0251447	+	1.01915i
$395$	−0.321035	+	1.61395i	−0.0161530	+	0.0812069i
$396$	15.6890	+	4.40328i	0.788403	+	0.221273i
$397$	−19.7199	+	29.5130i	−0.989716	+	1.48121i	−0.116912	+	0.993142i	$0.537300\pi$
$397$	−19.7199	+	29.5130i	−0.989716	+	1.48121i	−0.872803	+	0.488072i	$0.837700\pi$
$398$	−8.39161	−	13.2554i	−0.420633	−	0.664434i
$399$	10.3249	+	25.9457i	0.516891	+	1.29891i
$400$	−5.54307	−	18.3056i	−0.277154	−	0.915280i
$401$	−13.8307	−	13.8307i	−0.690673	−	0.690673i	0.271707	−	0.962380i	$-0.412412\pi$
$401$	−13.8307	−	13.8307i	−0.690673	−	0.690673i	−0.962380	+	0.271707i	$0.912412\pi$
$402$	−25.8570	−	18.7612i	−1.28963	−	0.935723i
$403$	−3.16819	+	4.74153i	−0.157819	+	0.236193i
$404$	−6.39759	+	8.62170i	−0.318292	+	0.428945i
$405$	4.07284	+	1.04961i	0.202381	+	0.0521558i
$406$	−16.1489	−	16.9659i	−0.801455	−	0.842003i
$407$	−1.31532	−	3.17545i	−0.0651978	−	0.157401i
$408$	−8.12254	−	25.8247i	−0.402126	−	1.27851i
$409$	−10.3637	+	25.0202i	−0.512452	+	1.23717i	0.430001	+	0.902828i	$0.358513\pi$
$409$	−10.3637	+	25.0202i	−0.512452	+	1.23717i	−0.942453	+	0.334339i	$0.891487\pi$
$410$	−0.908828	−	2.35691i	−0.0448838	−	0.116400i
$411$	3.28267	+	17.7989i	0.161922	+	0.877956i
$412$	0.249805	−	5.05939i	0.0123070	−	0.249258i
$413$	10.1773	−	2.02439i	0.500793	−	0.0996138i
$414$	−14.3639	−	10.7315i	−0.705950	−	0.527426i
$415$	4.94313			0.242649
$416$	5.50570	+	3.12343i	0.269939	+	0.153139i
$417$	4.37354	+	1.88357i	0.214173	+	0.0922390i
$418$	11.8800	−	2.05987i	0.581070	−	0.100751i
$419$	4.70593	+	23.6583i	0.229900	+	1.15578i	0.907402	+	0.420264i	$0.138062\pi$
$419$	4.70593	+	23.6583i	0.229900	+	1.15578i	−0.677502	+	0.735521i	$0.736938\pi$
$420$	−7.86703	+	2.68935i	−0.383872	+	0.131227i
$421$	−8.54019	+	5.70637i	−0.416223	+	0.278111i	−0.745998	−	0.665948i	$-0.768027\pi$
$421$	−8.54019	+	5.70637i	−0.416223	+	0.278111i	0.329775	+	0.944060i	$0.393027\pi$
$422$	8.20628	+	21.2818i	0.399476	+	1.03598i
$423$	16.3927	−	6.25956i	0.797042	−	0.304350i
$424$	−23.7188	−	11.9501i	−1.15189	−	0.580347i
$425$	24.4120	−	10.1118i	1.18416	−	0.490494i
$426$	35.1657	−	12.9987i	1.70378	−	0.629788i
$427$	7.96905	−	40.0631i	0.385649	−	1.93879i
$428$	−3.12112	−	21.0767i	−0.150865	−	1.01878i
$429$	−2.86297	−	4.41708i	−0.138226	−	0.213259i
$430$	3.10542	+	0.697748i	0.149757	+	0.0336484i
$431$	0.792090	−	0.792090i	0.0381536	−	0.0381536i	−0.687773	−	0.725926i	$-0.741411\pi$
$431$	0.792090	−	0.792090i	0.0381536	−	0.0381536i	0.725926	+	0.687773i	$0.241411\pi$
$432$	−20.7523	+	1.15868i	−0.998445	+	0.0557471i
$433$	−0.240520	−	0.240520i	−0.0115587	−	0.0115587i	0.701304	−	0.712862i	$-0.252602\pi$
$433$	−0.240520	−	0.240520i	−0.0115587	−	0.0115587i	−0.712862	+	0.701304i	$0.752602\pi$
$434$	19.7984	+	31.2736i	0.950354	+	1.50118i
$435$	−2.19048	+	1.41978i	−0.105025	+	0.0680731i
$436$	−5.44452	+	21.7130i	−0.260745	+	1.03986i
$437$	−13.0120	−	2.58825i	−0.622450	−	0.123813i
$438$	7.36089	−	15.9937i	0.351717	−	0.764208i
$439$	−0.916600	−	2.21287i	−0.0437469	−	0.105614i	0.900496	−	0.434865i	$-0.143204\pi$
$439$	−0.916600	−	2.21287i	−0.0437469	−	0.105614i	−0.944243	+	0.329251i	$0.893204\pi$
$440$	0.438111	+	3.56298i	0.0208861	+	0.169858i
$441$	−20.7356	−	54.3029i	−0.987407	−	2.58585i
$442$	−3.54479	+	7.99426i	−0.168609	+	0.380248i
$443$	−16.9893	−	25.4262i	−0.807185	−	1.20804i	−0.974997	−	0.222218i	$-0.928670\pi$
$443$	−16.9893	−	25.4262i	−0.807185	−	1.20804i	0.167812	−	0.985819i	$-0.446330\pi$
$444$	2.89765	+	3.28986i	0.137517	+	0.156130i
$445$	−2.04270	+	0.406318i	−0.0968331	+	0.0192613i
$446$	4.45367	−	6.32206i	0.210887	−	0.299358i
$447$	−7.86019	+	18.2509i	−0.371774	+	0.863237i
$448$	33.0186	−	24.4504i	1.55998	−	1.15517i
$449$		−	14.9494i		−	0.705504i	−0.935717	−	0.352752i	$-0.885246\pi$
$449$		−	14.9494i		−	0.705504i	0.935717	−	0.352752i	$-0.114754\pi$
$450$	−2.90609	−	20.0774i	−0.136994	−	0.946459i
$451$	−2.02515	−	10.1811i	−0.0953606	−	0.479410i
$452$	−18.8167	−	8.90532i	−0.885063	−	0.418871i
$453$	−0.706631	+	0.130325i	−0.0332004	+	0.00612318i
$454$	24.3963	+	10.8177i	1.14497	+	0.507701i
$455$	2.48120	+	1.02775i	0.116320	+	0.0481815i
$456$	−13.4884	+	7.38768i	−0.631654	+	0.345960i
$457$	−6.05248	+	2.50702i	−0.283123	+	0.117273i	−0.519726	−	0.854333i	$-0.673966\pi$
$457$	−6.05248	+	2.50702i	−0.283123	+	0.117273i	0.236603	+	0.971606i	$0.423966\pi$
$458$	0.0696159	−	2.82164i	0.00325294	−	0.131846i
$459$	−4.41714	−	28.3724i	−0.206174	−	1.32431i
$460$	0.960711	−	3.83136i	0.0447934	−	0.178638i
$461$	−34.4358	−	23.0093i	−1.60384	−	1.07165i	−0.948719	−	0.316120i	$-0.897620\pi$
$461$	−34.4358	−	23.0093i	−1.60384	−	1.07165i	−0.655116	−	0.755528i	$-0.727380\pi$
$462$	−33.7414	+	5.36606i	−1.56979	+	0.249652i
$463$	−9.40236	+	9.40236i	−0.436965	+	0.436965i	−0.890989	−	0.454025i	$-0.849988\pi$
$463$	−9.40236	+	9.40236i	−0.436965	+	0.436965i	0.454025	+	0.890989i	$0.349988\pi$
$464$	8.18844	−	9.96760i	0.380139	−	0.462734i
$465$	3.83268	−	1.52518i	0.177736	−	0.0707287i
$466$	−0.302438	+	1.34604i	−0.0140102	+	0.0623542i
$467$	17.8093	+	11.8998i	0.824115	+	0.550656i	0.894606	−	0.446857i	$-0.147457\pi$
$467$	17.8093	+	11.8998i	0.824115	+	0.550656i	−0.0704909	+	0.997512i	$0.522457\pi$
$468$	5.27785	+	4.14987i	0.243969	+	0.191828i
$469$	65.6934	+	13.0672i	3.03344	+	0.603388i
$470$	2.66515	+	2.79999i	0.122934	+	0.129154i
$471$	−0.215344	+	15.4156i	−0.00992253	+	0.710315i
$472$	1.79062	+	5.42704i	0.0824200	+	0.249800i
$473$	12.0839	+	5.00531i	0.555618	+	0.230144i
$474$	0.333160	−	8.61889i	0.0153026	−	0.395879i
$475$	−8.33945	−	12.4809i	−0.382640	−	0.572662i
$476$	38.1077	+	42.0662i	1.74666	+	1.92810i
$477$	−22.9764	−	16.2987i	−1.05202	−	0.746266i
$478$	3.75111	+	21.6340i	0.171572	+	0.989518i
$479$		−	9.14011i		−	0.417622i	−0.977956	−	0.208811i	$-0.933041\pi$
$479$		−	9.14011i		−	0.417622i	0.977956	−	0.208811i	$-0.0669594\pi$
$480$	−1.99882	−	4.11950i	−0.0912331	−	0.188029i
$481$		−	1.41615i		−	0.0645707i
$482$	2.63891	−	0.457559i	0.120199	−	0.0208412i
$483$	36.7648	+	7.84836i	1.67286	+	0.357113i
$484$	0.357435	−	7.23927i	0.0162470	−	0.329058i
$485$	−0.688122	−	1.02985i	−0.0312460	−	0.0467630i
$486$	−21.9470	−	2.08038i	−0.995537	−	0.0943680i
$487$	−1.02523	−	0.424666i	−0.0464578	−	0.0192435i	0.359334	−	0.933209i	$-0.383004\pi$
$487$	−1.02523	−	0.424666i	−0.0464578	−	0.0192435i	−0.405791	+	0.913966i	$0.633004\pi$
$488$	22.4349	+	1.66325i	1.01558	+	0.0752919i
$489$	−26.0870	−	0.364415i	−1.17970	−	0.0164794i
$490$	9.27531	−	8.82864i	0.419016	−	0.398837i
$491$	−21.6494	−	4.30633i	−0.977024	−	0.194342i	−0.319343	−	0.947639i	$-0.603462\pi$
$491$	−21.6494	−	4.30633i	−0.977024	−	0.194342i	−0.657680	+	0.753297i	$0.728462\pi$
$492$	6.64483	+	11.4523i	0.299572	+	0.516311i
$493$	14.8177	+	9.90090i	0.667358	+	0.445914i
$494$	4.84698	+	1.08906i	0.218076	+	0.0489989i
$495$	−0.106357	+	3.80608i	−0.00478038	+	0.171071i
$496$	−15.7640	+	12.9242i	−0.707826	+	0.580313i
$497$	−55.5829	+	55.5829i	−2.49323	+	2.49323i
$498$	−25.5880	+	4.06938i	−1.14663	+	0.182353i
$499$	13.2966	+	8.88449i	0.595236	+	0.397724i	0.816378	−	0.577517i	$-0.195978\pi$
$499$	13.2966	+	8.88449i	0.595236	+	0.397724i	−0.221142	+	0.975242i	$0.570978\pi$
$500$	7.84282	−	4.69817i	0.350741	−	0.210109i
$501$	18.4289	−	26.7638i	0.823342	−	1.19572i
$502$	−19.8628	−	0.490058i	−0.886518	−	0.0218723i
$503$	−19.0562	+	7.89335i	−0.849676	+	0.351947i	−0.764661	−	0.644432i	$-0.777094\pi$
$503$	−19.0562	+	7.89335i	−0.849676	+	0.351947i	−0.0850147	+	0.996380i	$0.527094\pi$
$504$	38.5095	−	20.3978i	1.71535	−	0.908590i
$505$	−2.31765	−	0.960001i	−0.103134	−	0.0427195i
$506$	6.57969	−	14.8386i	0.292503	−	0.659656i
$507$	3.69053	+	20.0104i	0.163902	+	0.888694i
$508$	−27.9670	+	9.99897i	−1.24084	+	0.443633i
$509$	−0.511623	−	2.57210i	−0.0226773	−	0.114006i	0.967789	−	0.251764i	$-0.0810106\pi$
$509$	−0.511623	−	2.57210i	−0.0226773	−	0.114006i	−0.990466	+	0.137757i	$0.956011\pi$
$510$	5.39143	−	3.30858i	0.238737	−	0.146506i
$511$			36.9142i			1.63299i
$512$	15.5843	+	16.4052i	0.688735	+	0.725013i
$513$	−15.3186	+	5.60551i	−0.676332	+	0.247489i
$514$	15.0104	+	10.5743i	0.662081	+	0.466413i
$515$	1.16088	−	0.230914i	0.0511546	−	0.0101753i
$516$	−16.6495	−	1.05537i	−0.732955	−	0.0464601i
$517$	8.82540	+	13.2081i	0.388141	+	0.580893i
$518$	−8.40274	−	3.72592i	−0.369195	−	0.163707i
$519$	−4.05560	+	3.94386i	−0.178021	+	0.173116i
$520$	−0.395015	+	1.42535i	−0.0173226	+	0.0625056i
$521$	−6.22591	−	15.0307i	−0.272762	−	0.658506i	0.726837	−	0.686810i	$-0.240989\pi$
$521$	−6.22591	−	15.0307i	−0.272762	−	0.658506i	−0.999599	+	0.0283039i	$0.990989\pi$
$522$	10.1701	−	9.15274i	0.445134	−	0.400604i
$523$	−6.54133	−	1.30115i	−0.286033	−	0.0568954i	0.0499888	−	0.998750i	$-0.484081\pi$
$523$	−6.54133	−	1.30115i	−0.286033	−	0.0568954i	−0.336021	+	0.941854i	$0.609081\pi$
$524$	4.97261	+	8.30095i	0.217230	+	0.362629i
$525$	23.1344	+	35.6924i	1.00967	+	1.55774i
$526$	−18.5532	+	11.7455i	−0.808960	+	0.512128i
$527$	−19.9134	−	19.9134i	−0.867441	−	0.867441i
$528$	−5.20106	−	18.0830i	−0.226347	−	0.786961i
$529$	3.63419	−	3.63419i	0.158008	−	0.158008i
$530$	1.36046	−	6.05490i	0.0590945	−	0.263008i
$531$	1.01601	+	5.97571i	0.0440911	+	0.259324i
$532$	19.2145	−	25.8943i	0.833053	−	1.12266i
$533$	0.834401	−	4.19482i	0.0361419	−	0.181698i
$534$	10.2395	−	3.78492i	0.443105	−	0.163790i
$535$	4.59956	−	1.90520i	0.198856	−	0.0823690i
$536$	−2.72731	+	36.7875i	−0.117802	+	1.58898i
$537$	29.0405	−	28.2403i	1.25319	−	1.21866i
$538$	3.31960	−	1.28004i	0.143118	−	0.0551865i
$539$	43.7536	−	29.2352i	1.88460	−	1.25925i
$540$	−1.44199	−	4.63756i	−0.0620532	−	0.199569i
$541$	0.964344	+	4.84808i	0.0414604	+	0.208435i	0.995963	−	0.0897681i	$-0.0286126\pi$
$541$	0.964344	+	4.84808i	0.0414604	+	0.208435i	−0.954502	+	0.298204i	$0.903613\pi$
$542$	1.70861	+	9.85418i	0.0733910	+	0.423273i
$543$	13.2804	−	30.8362i	0.569915	−	1.32331i
$544$	−20.4328	+	23.6578i	−0.876049	+	1.01432i
$545$	−5.23056			−0.224053
$546$	−13.6900	−	3.27748i	−0.585876	−	0.140263i
$547$	3.33612	−	0.663595i	0.142642	−	0.0283733i	−0.123253	−	0.992375i	$-0.539333\pi$
$547$	3.33612	−	0.663595i	0.142642	−	0.0283733i	0.265895	+	0.964002i	$0.414333\pi$
$548$	15.4886	−	14.0311i	0.661642	−	0.599380i
$549$	23.2634	+	5.30695i	0.992859	+	0.226495i
$550$	17.1355	−	6.60747i	0.730661	−	0.281743i
$551$	3.87423	−	9.35322i	0.165048	−	0.398461i
$552$	−1.81897	+	20.6238i	−0.0774205	+	0.877809i
$553$	6.92057	+	16.7077i	0.294292	+	0.710485i
$554$	5.34862	−	5.09105i	0.227241	−	0.216298i
$555$	−0.580955	+	0.843706i	−0.0246601	+	0.0358133i
$556$	−0.805465	−	5.43926i	−0.0341593	−	0.230676i
$557$	−16.5271	+	24.7346i	−0.700278	+	1.04804i	0.295419	+	0.955368i	$0.404541\pi$
$557$	−16.5271	+	24.7346i	−0.700278	+	1.04804i	−0.995697	+	0.0926717i	$0.970459\pi$
$558$	−18.5842	+	11.0503i	−0.786732	+	0.467796i
$559$	3.81061	+	3.81061i	0.161171	+	0.161171i
$560$	7.41804	+	6.09396i	0.313469	+	0.257517i
$561$	24.1525	−	9.61130i	1.01972	−	0.405789i
$562$	6.10342	−	3.86389i	0.257457	−	0.162988i
$563$	10.8354	−	16.2163i	0.456658	−	0.683437i	−0.529675	−	0.848201i	$-0.677686\pi$
$563$	10.8354	−	16.2163i	0.456658	−	0.683437i	0.986333	+	0.164763i	$0.0526861\pi$
$564$	−16.1012	−	12.3000i	−0.677982	−	0.517924i
$565$	0.948973	−	4.77081i	0.0399236	−	0.200710i
$566$	−23.5318	−	0.580580i	−0.989115	−	0.0244036i
$567$	43.6243	−	15.2759i	1.83205	−	0.641528i
$568$	−34.1186	−	26.6467i	−1.43158	−	1.11807i
$569$	−13.2178	+	31.9106i	−0.554120	+	1.33776i	0.360240	+	0.932860i	$0.382695\pi$
$569$	−13.2178	+	31.9106i	−0.554120	+	1.33776i	−0.914359	+	0.404903i	$0.867305\pi$
$570$	−2.44094	−	2.63724i	−0.102240	−	0.110462i
$571$	9.41377	−	6.29008i	0.393954	−	0.263232i	−0.342778	−	0.939416i	$-0.611368\pi$
$571$	9.41377	−	6.29008i	0.393954	−	0.263232i	0.736732	+	0.676185i	$0.236368\pi$
$572$	−2.60007	+	5.49387i	−0.108714	+	0.229710i
$573$	−22.7836	−	4.86372i	−0.951797	−	0.203185i
$574$	−22.6947	−	15.9876i	−0.947259	−	0.667310i
$575$	−20.2079			−0.842727
$576$	13.7382	+	19.6790i	0.572424	+	0.819958i
$577$	22.9774			0.956561			0.478281	−	0.878207i	$-0.341260\pi$
$577$	22.9774			0.956561			0.478281	+	0.878207i	$0.341260\pi$
$578$	−15.6508	−	11.0255i	−0.650989	−	0.458598i
$579$	0.981280	+	0.209478i	0.0407806	+	0.00870563i
$580$	2.72447	+	1.28940i	0.113127	+	0.0535394i
$581$	45.1682	−	30.1805i	1.87389	−	1.25210i
$582$	4.40986	+	4.76449i	0.182795	+	0.197495i
$583$	9.75928	−	23.5610i	0.404188	−	0.975796i
$584$	−20.1780	+	2.48113i	−0.834971	+	0.102670i
$585$	−0.640602	+	1.43204i	−0.0264856	+	0.0592076i
$586$	−23.8285	−	0.587902i	−0.984348	−	0.0242860i
$587$	−4.15062	+	20.8666i	−0.171315	+	0.861256i	0.795535	+	0.605908i	$0.207190\pi$
$587$	−4.15062	+	20.8666i	−0.171315	+	0.861256i	−0.966849	+	0.255348i	$0.917810\pi$
$588$	−40.7453	+	53.3371i	−1.68031	+	2.19958i
$589$	−8.88811	+	13.3020i	−0.366228	+	0.548099i
$590$	−1.12825	+	0.714260i	−0.0464492	+	0.0294056i
$591$	23.0273	−	9.16353i	0.947217	−	0.376937i
$592$	1.47188	−	4.84352i	0.0604939	−	0.199067i
$593$	18.6903	+	18.6903i	0.767520	+	0.767520i	0.977669	−	0.210149i	$-0.0673951\pi$
$593$	18.6903	+	18.6903i	0.767520	+	0.767520i	−0.210149	+	0.977669i	$0.567395\pi$
$594$	−2.58277	−	19.7897i	−0.105972	−	0.811980i
$595$	−7.36840	+	11.0276i	−0.302075	+	0.452087i
$596$	22.6981	−	3.36122i	0.929752	−	0.137681i
$597$	−10.8970	+	15.8254i	−0.445984	+	0.647691i
$598$	4.84424	−	4.61096i	0.198096	−	0.188556i
$599$	0.178527	+	0.431002i	0.00729441	+	0.0176103i	0.927485	−	0.373861i	$-0.121966\pi$
$599$	0.178527	+	0.431002i	0.00729441	+	0.0176103i	−0.920190	+	0.391471i	$0.871966\pi$
$600$	−17.9552	+	15.0447i	−0.733017	+	0.614196i
$601$	4.46831	−	10.7874i	0.182266	−	0.440029i	−0.806167	−	0.591688i	$-0.798462\pi$
$601$	4.46831	−	10.7874i	0.182266	−	0.440029i	0.988433	+	0.151659i	$0.0484616\pi$
$602$	32.6361	−	12.5845i	1.33015	−	0.512906i
$603$	−8.70205	+	38.1461i	−0.354375	+	1.55343i
$604$	0.557046	+	0.614911i	0.0226659	+	0.0250204i
$605$	1.66106	−	0.330405i	0.0675317	−	0.0134329i
$606$	12.7876	+	3.06144i	0.519459	+	0.124363i
$607$	20.7668			0.842899			0.421450	−	0.906852i	$-0.361521\pi$
$607$	20.7668			0.842899			0.421450	+	0.906852i	$0.361521\pi$
$608$	15.4458	+	8.76254i	0.626410	+	0.355368i
$609$	−11.3471	+	26.3474i	−0.459809	+	1.06765i
$610$	0.898031	+	5.17928i	0.0363602	+	0.209703i
$611$	1.27688	+	6.41929i	0.0516569	+	0.259697i
$612$	−25.1849	+	21.5652i	−1.01804	+	0.871723i
$613$	30.2275	−	20.1974i	1.22088	−	0.815763i	0.233224	−	0.972423i	$-0.425073\pi$
$613$	30.2275	−	20.1974i	1.22088	−	0.815763i	0.987653	+	0.156660i	$0.0500726\pi$
$614$	22.2815	−	8.59178i	0.899210	−	0.346736i
$615$	−2.21798	+	2.15687i	−0.0894376	+	0.0869733i
$616$	25.7572	+	29.8821i	1.03779	+	1.20398i
$617$	37.1222	−	15.3765i	1.49448	−	0.619035i	0.522196	−	0.852825i	$-0.325113\pi$
$617$	37.1222	−	15.3765i	1.49448	−	0.619035i	0.972287	+	0.233790i	$0.0751129\pi$
$618$	−5.81919	+	2.15101i	−0.234082	+	0.0865262i
$619$	−6.26388	+	31.4906i	−0.251767	+	1.26572i	0.623403	+	0.781900i	$0.285749\pi$
$619$	−6.26388	+	31.4906i	−0.251767	+	1.26572i	−0.875170	+	0.483816i	$0.839251\pi$
$620$	−3.82509	−	2.83834i	−0.153619	−	0.113991i
$621$	−5.18266	+	21.3395i	−0.207973	+	0.856324i
$622$	−6.98917	+	31.1062i	−0.280240	+	1.24725i
$623$	−16.1845	+	16.1845i	−0.648419	+	0.648419i
$624$	0.871384	−	7.70347i	0.0348833	−	0.308386i
$625$	−15.3950	−	15.3950i	−0.615800	−	0.615800i
$626$	−31.7959	+	20.1291i	−1.27082	+	0.804519i
$627$	−8.03184	−	12.3918i	−0.320761	−	0.494879i
$628$	15.2717	−	9.14837i	0.609407	−	0.365060i
$629$	6.85914	+	1.36437i	0.273492	+	0.0544009i
$630$	6.81160	+	7.56876i	0.271381	+	0.301547i
$631$	−16.2812	−	39.3063i	−0.648145	−	1.56476i	−0.815432	−	0.578852i	$-0.803501\pi$
$631$	−16.2812	−	39.3063i	−0.648145	−	1.56476i	0.167287	−	0.985908i	$-0.446499\pi$
$632$	−8.66759	+	4.90589i	−0.344778	+	0.195146i
$633$	20.0273	−	19.4755i	0.796014	−	0.774081i
$634$	−23.9387	−	10.6148i	−0.950726	−	0.421568i
$635$	−3.85562	−	5.77034i	−0.153005	−	0.228989i
$636$	−2.05774	+	32.4630i	−0.0815949	+	1.28724i
$637$	21.2647	−	4.22981i	0.842537	−	0.167591i
$638$	10.1261	+	7.13345i	0.400895	+	0.282416i
$639$	−31.5488	−	33.3626i	−1.24805	−	1.31981i
$640$	−2.83248	+	4.46443i	−0.111964	+	0.176472i
$641$		−	2.86333i		−	0.113095i	−0.998400	−	0.0565475i	$-0.981991\pi$
$641$		−	2.86333i		−	0.113095i	0.998400	−	0.0565475i	$-0.0180092\pi$
$642$	−22.2411	+	13.6488i	−0.877786	+	0.538674i
$643$	7.45056	+	37.4565i	0.293822	+	1.47714i	0.792243	+	0.610206i	$0.208913\pi$
$643$	7.45056	+	37.4565i	0.293822	+	1.47714i	−0.498421	+	0.866935i	$0.666087\pi$
$644$	−14.6139	−	40.8750i	−0.575869	−	1.61070i
$645$	−0.707018	−	3.83351i	−0.0278388	−	0.150944i
$646$	−9.94463	+	22.4272i	−0.391266	+	0.882388i
$647$	27.7213	+	11.4825i	1.08984	+	0.451425i	0.853950	−	0.520355i	$-0.174200\pi$
$647$	27.7213	+	11.4825i	1.08984	+	0.451425i	0.235887	+	0.971780i	$0.424200\pi$
$648$	11.2822	+	22.8191i	0.443208	+	0.896419i
$649$	−5.06969	+	2.09993i	−0.199003	+	0.0824296i
$650$	7.56456	+	0.186634i	0.296706	+	0.00732039i
$651$	25.7094	−	37.3370i	1.00763	−	1.46335i
$652$	15.4813	+	25.8434i	0.606294	+	1.01211i
$653$	−28.8754	−	19.2940i	−1.12998	−	0.755031i	−0.157389	−	0.987537i	$-0.550308\pi$
$653$	−28.8754	−	19.2940i	−1.12998	−	0.755031i	−0.972595	+	0.232506i	$0.925308\pi$
$654$	27.0759	−	4.30601i	1.05875	−	0.168378i
$655$	−1.59877	+	1.59877i	−0.0624691	+	0.0624691i
$656$	7.21373	−	13.4799i	0.281649	−	0.526302i
$657$	−21.5548	−	0.602323i	−0.840932	−	0.0234989i
$658$	41.4485	+	9.31294i	1.61583	+	0.363056i
$659$	1.88410	+	1.25892i	0.0733942	+	0.0490404i	0.591726	−	0.806139i	$-0.298447\pi$
$659$	1.88410	+	1.25892i	0.0733942	+	0.0490404i	−0.518332	+	0.855180i	$0.673447\pi$
$660$	3.80284	−	2.20647i	0.148025	−	0.0858868i
$661$	−33.0278	−	6.56964i	−1.28463	−	0.255529i	−0.494884	−	0.868959i	$-0.664789\pi$
$661$	−33.0278	−	6.56964i	−1.28463	−	0.255529i	−0.789749	+	0.613430i	$0.789789\pi$
$662$	28.4278	−	27.0588i	1.10488	−	1.05167i
$663$	10.7093	+	0.149600i	0.415913	+	0.00580997i
$664$	19.5331	+	22.6613i	0.758031	+	0.879427i
$665$	6.96081	+	2.88326i	0.269929	+	0.111808i
$666$	2.31273	−	4.84569i	0.0896163	−	0.187767i
$667$	−7.57194	−	11.3322i	−0.293187	−	0.438785i
$668$	−37.4763	−	1.85037i	−1.45000	−	0.0715931i
$669$	−9.26259	−	1.97733i	−0.358113	−	0.0764480i
$670$	−8.49270	+	1.47254i	−0.328102	+	0.0568893i
$671$			21.6012i			0.833905i
$672$	−43.4161	−	25.4384i	−1.67481	−	0.981308i
$673$		−	40.7548i		−	1.57098i	−0.618873	−	0.785491i	$-0.712410\pi$
$673$		−	40.7548i		−	1.57098i	0.618873	−	0.785491i	$-0.287590\pi$
$674$	2.77073	+	15.9798i	0.106725	+	0.615521i
$675$	−21.2188	+	12.9261i	−0.816712	+	0.497526i
$676$	17.4131	−	15.7745i	0.669734	−	0.606710i
$677$	7.73224	+	11.5721i	0.297174	+	0.444753i	0.949768	−	0.312955i	$-0.101319\pi$
$677$	7.73224	+	11.5721i	0.297174	+	0.444753i	−0.652594	+	0.757708i	$0.726319\pi$
$678$	−0.984814	+	25.4772i	−0.0378216	+	0.978447i
$679$	−12.5755	−	5.20896i	−0.482605	−	0.199902i
$680$	−6.52313	−	3.28650i	−0.250151	−	0.126031i
$681$	0.456537	−	32.6817i	0.0174945	−	1.25236i
$682$	−13.4950	−	14.1778i	−0.516751	−	0.542895i
$683$	−42.6958	−	8.49273i	−1.63371	−	0.324965i	−0.708875	−	0.705334i	$-0.750797\pi$
$683$	−42.6958	−	8.49273i	−1.63371	−	0.324965i	−0.924835	+	0.380369i	$0.875797\pi$
$684$	14.8066	+	11.6421i	0.566144	+	0.445148i
$685$	4.06032	+	2.71302i	0.155137	+	0.103659i
$686$	19.7048	−	87.6987i	0.752332	−	3.34835i
$687$	−3.21187	+	1.27814i	−0.122540	+	0.0487639i
$688$	9.07251	+	16.9936i	0.345886	+	0.647877i
$689$	7.42986	−	7.42986i	0.283055	−	0.283055i
$690$	−4.77767	+	0.759816i	−0.181883	+	0.0289257i
$691$	16.5580	+	11.0637i	0.629896	+	0.420883i	0.829120	−	0.559071i	$-0.188842\pi$
$691$	16.5580	+	11.0637i	0.629896	+	0.420883i	−0.199224	+	0.979954i	$0.563842\pi$
$692$	6.33602	+	1.58875i	0.240859	+	0.0603953i
$693$	22.2663	+	35.4277i	0.845828	+	1.34579i
$694$	−0.627657	+	25.4399i	−0.0238255	+	0.965685i
$695$	1.18701	−	0.491674i	0.0450257	−	0.0186502i
$696$	−15.1646	−	4.43166i	−0.574814	−	0.167982i
$697$	19.5138	+	8.08288i	0.739138	+	0.306161i
$698$	23.8347	+	10.5687i	0.902157	+	0.400032i
$699$	1.66164	−	0.306457i	0.0628488	−	0.0115913i
$700$	21.0099	−	44.3934i	0.794101	−	1.67791i
$701$	−1.29892	−	6.53011i	−0.0490595	−	0.246639i	0.948472	−	0.316861i	$-0.102629\pi$
$701$	−1.29892	−	6.53011i	−0.0490595	−	0.246639i	−0.997531	+	0.0702227i	$0.977629\pi$
$702$	2.13715	−	7.94029i	0.0806615	−	0.299687i
$703$		−	3.97289i		−	0.149840i
$704$	−14.6029	+	16.0878i	−0.550366	+	0.606332i
$705$	1.87269	−	4.34828i	0.0705297	−	0.163766i
$706$	−9.59057	+	13.6140i	−0.360946	+	0.512369i
$707$	−27.0390	+	5.37839i	−1.01691	+	0.202275i
$708$	5.25234	−	4.62617i	0.197395	−	0.173862i
$709$	−16.3646	−	24.4914i	−0.614587	−	0.919795i	0.385409	−	0.922746i	$-0.374061\pi$
$709$	−16.3646	−	24.4914i	−0.614587	−	0.919795i	−0.999996	+	0.00295145i	$0.999061\pi$
$710$	4.10035	−	9.24717i	0.153884	−	0.347040i
$711$	−9.86881	+	3.76840i	−0.370109	+	0.141326i
$712$	−9.93457	−	7.75893i	−0.372314	−	0.290778i
$713$	8.24199	+	19.8979i	0.308665	+	0.745183i
$714$	29.0640	−	63.1500i	1.08769	−	2.36333i
$715$	−1.39292	−	0.277070i	−0.0520924	−	0.0103618i
$716$	−45.3695	−	11.3764i	−1.69554	−	0.425156i
$717$	22.5660	−	14.6264i	0.842742	−	0.546231i
$718$	−14.7976	−	23.3743i	−0.552240	−	0.872321i
$719$	−31.1389	−	31.1389i	−1.16129	−	1.16129i	−0.984194	−	0.177092i	$-0.943331\pi$
$719$	−31.1389	−	31.1389i	−1.16129	−	1.16129i	−0.177092	−	0.984194i	$-0.556669\pi$
$720$	−3.67939	+	4.23207i	−0.137123	+	0.157720i
$721$	9.19781	−	9.19781i	0.342544	−	0.342544i
$722$	−12.6186	−	2.83524i	−0.469617	−	0.105517i
$723$	−1.78412	−	2.75259i	−0.0663520	−	0.102370i
$724$	−38.3502	+	5.67903i	−1.42527	+	0.211059i
$725$	3.00837	−	15.1241i	0.111728	−	0.561695i
$726$	−8.32643	+	3.07779i	−0.309023	+	0.114227i
$727$	31.8268	−	13.1831i	1.18039	−	0.488934i	0.295777	−	0.955257i	$-0.404421\pi$
$727$	31.8268	−	13.1831i	1.18039	−	0.488934i	0.884615	+	0.466323i	$0.154421\pi$
$728$	5.09303	+	15.4360i	0.188760	+	0.572096i
$729$	8.20802	+	25.7221i	0.304001	+	0.952672i
$730$	−1.70907	−	4.43224i	−0.0632557	−	0.164044i
$731$	−22.1280	+	14.7855i	−0.818435	+	0.546861i
$732$	−8.91243	−	26.0711i	−0.329413	−	0.963616i
$733$	8.10531	+	40.7482i	0.299377	+	1.50507i	0.778682	+	0.627419i	$0.215889\pi$
$733$	8.10531	+	40.7482i	0.299377	+	1.50507i	−0.479305	+	0.877648i	$0.659111\pi$
$734$	−8.68941	+	1.50665i	−0.320732	+	0.0556115i
$735$	−14.4042	−	6.20352i	−0.531307	−	0.228820i
$736$	21.3608	−	10.7356i	0.787369	−	0.395719i
$737$	−35.4205			−1.30473
$738$	9.70571	−	12.9909i	0.357272	−	0.478202i
$739$	−43.1571	+	8.58449i	−1.58756	+	0.315785i	−0.908367	−	0.418174i	$-0.862670\pi$
$739$	−43.1571	+	8.58449i	−1.58756	+	0.315785i	−0.679194	+	0.733959i	$0.737670\pi$
$740$	1.18141	+	0.0583314i	0.0434295	+	0.00214430i
$741$	−1.10352	−	5.98341i	−0.0405390	−	0.219806i
$742$	−24.5371	−	63.6334i	−0.900785	−	2.33606i
$743$	−0.0420076	+	0.101415i	−0.00154111	+	0.00372057i	−0.924648	−	0.380822i	$-0.875641\pi$
$743$	−0.0420076	+	0.101415i	−0.00154111	+	0.00372057i	0.923107	+	0.384543i	$0.125641\pi$
$744$	22.1371	+	11.5437i	0.811586	+	0.423211i
$745$	2.05177	+	4.95340i	0.0751709	+	0.181479i
$746$	10.6338	+	11.1718i	0.389330	+	0.409028i
$747$	16.8858	+	26.8669i	0.617820	+	0.983007i
$748$	−24.1047	−	17.8865i	−0.881355	−	0.653995i
$749$	30.3966	−	45.4917i	1.11067	−	1.66223i
$750$	−9.06277	−	6.57571i	−0.330926	−	0.240111i
$751$	−0.601115	−	0.601115i	−0.0219350	−	0.0219350i	0.696054	−	0.717989i	$-0.254937\pi$
$751$	−0.601115	−	0.601115i	−0.0219350	−	0.0219350i	−0.717989	+	0.696054i	$0.754937\pi$
$752$	−2.30473	+	23.2825i	−0.0840450	+	0.849024i
$753$	8.99737	+	22.6098i	0.327882	+	0.823946i
$754$	2.72980	+	4.31200i	0.0994133	+	0.157034i
$755$	−0.107709	+	0.161198i	−0.00391993	+	0.00586659i
$756$	−41.4910	−	33.5719i	−1.50901	−	1.22100i
$757$	−1.17483	+	5.90627i	−0.0426999	+	0.214667i	−0.996244	−	0.0865851i	$-0.972405\pi$
$757$	−1.17483	+	5.90627i	−0.0426999	+	0.214667i	0.953545	+	0.301252i	$0.0974046\pi$
$758$	−0.861941	+	34.9357i	−0.0313071	+	1.26892i
$759$	−19.8781	−	0.277681i	−0.721528	−	0.0100792i
$760$	−1.10818	+	3.99870i	−0.0401981	+	0.145048i
$761$	−9.71803	+	23.4614i	−0.352278	+	0.850475i	0.644060	+	0.764975i	$0.277249\pi$
$761$	−9.71803	+	23.4614i	−0.352278	+	0.850475i	−0.996338	+	0.0855002i	$0.972751\pi$
$762$	24.7089	+	26.6959i	0.895108	+	0.967091i
$763$	−47.7947	+	31.9354i	−1.73028	+	1.15614i
$764$	9.05641	+	25.3307i	0.327649	+	0.916432i
$765$	−6.31894	−	4.48245i	−0.228462	−	0.162063i
$766$	−9.85269	+	13.9861i	−0.355992	+	0.505338i
$767$	−2.26091			−0.0816368
$768$	10.9870	−	25.4418i	0.396458	−	0.918053i
$769$	−38.7111			−1.39596			−0.697980	−	0.716118i	$-0.745917\pi$
$769$	−38.7111			−1.39596			−0.697980	+	0.716118i	$0.745917\pi$
$770$	−5.30882	+	7.53596i	−0.191317	+	0.271577i
$771$	4.69476	−	21.9921i	0.169078	−	0.792026i
$772$	−0.390056	−	1.09098i	−0.0140384	−	0.0392654i
$773$	−3.16113	+	2.11220i	−0.113698	+	0.0759706i	−0.611119	−	0.791539i	$-0.709280\pi$
$773$	−3.16113	+	2.11220i	−0.113698	+	0.0759706i	0.497421	+	0.867509i	$0.334280\pi$
$774$	6.81576	+	19.2621i	0.244988	+	0.692360i
$775$	−9.32523	+	22.5131i	−0.334972	+	0.808694i
$776$	2.00207	−	7.22413i	0.0718701	−	0.259331i
$777$	−0.157244	+	11.2565i	−0.00564109	+	0.403823i
$778$	0.568194	−	23.0298i	0.0203708	−	0.825657i
$779$	2.34084	−	11.7682i	0.0838695	−	0.421640i
$780$	1.79548	−	0.240302i	0.0642884	−	0.00860420i
$781$	23.0942	−	34.5629i	0.826374	−	1.23676i
$782$	17.6662	+	27.9056i	0.631742	+	0.997902i
$783$	−15.1995	−	7.05567i	−0.543185	−	0.252149i
$784$	77.1259	+	7.63471i	2.75450	+	0.272668i
$785$	2.94134	+	2.94134i	0.104981	+	0.104981i
$786$	6.95983	−	9.59217i	0.248249	−	0.342141i
$787$	−7.86373	+	11.7689i	−0.280312	+	0.419516i	−0.944732	−	0.327843i	$-0.893678\pi$
$787$	−7.86373	+	11.7689i	−0.280312	+	0.419516i	0.664421	+	0.747359i	$0.268678\pi$
$788$	−22.9817	−	17.0532i	−0.818689	−	0.607495i
$789$	22.1504	+	15.2522i	0.788575	+	0.542993i
$790$	−1.60449	−	1.68566i	−0.0570850	−	0.0599731i
$791$	−20.4570	−	49.3876i	−0.727368	−	1.75602i
$792$	−17.8689	+	14.5524i	−0.634942	+	0.517097i
$793$	−3.40593	+	8.22263i	−0.120948	+	0.291994i
$794$	−18.0600	−	46.8361i	−0.640927	−	1.66215i
$795$	−7.47453	+	1.37853i	−0.265094	+	0.0488915i
$796$	22.1597	+	1.09412i	0.785430	+	0.0387802i
$797$	2.85086	−	0.567071i	0.100983	−	0.0200867i	−0.144340	−	0.989528i	$-0.546106\pi$
$797$	2.85086	−	0.567071i	0.100983	−	0.0200867i	0.245323	+	0.969441i	$0.421106\pi$
$798$	−38.4061	−	9.19472i	−1.35956	−	0.325489i
$799$	−32.3222			−1.14348
$800$	25.6784	+	8.50059i	0.907869	+	0.300541i
$801$	−9.18630	−	9.71446i	−0.324582	−	0.343243i
$802$	27.2548	−	4.72569i	0.962400	−	0.166870i
$803$	−3.80835	−	19.1458i	−0.134394	−	0.675642i
$804$	42.7500	−	14.6141i	1.50768	−	0.515400i
$805$	8.43359	−	5.63515i	0.297245	−	0.198613i
$806$	−2.90151	−	7.52465i	−0.102201	−	0.265045i
$807$	−3.03785	−	3.12392i	−0.106937	−	0.109967i
$808$	−4.75731	−	14.4185i	−0.167362	−	0.507242i
$809$	−14.4176	+	5.97195i	−0.506895	+	0.209963i	−0.621450	−	0.783454i	$-0.713456\pi$
$809$	−14.4176	+	5.97195i	−0.506895	+	0.209963i	0.114555	+	0.993417i	$0.463456\pi$
$810$	−4.53066	+	3.85390i	−0.159191	+	0.135412i
$811$	−3.57240	+	17.9597i	−0.125444	+	0.630649i	0.865992	+	0.500057i	$0.166688\pi$
$811$	−3.57240	+	17.9597i	−0.125444	+	0.630649i	−0.991436	+	0.130592i	$0.958312\pi$
$812$	32.7675	−	4.85233i	1.14991	−	0.170283i
$813$	10.2787	−	6.66222i	0.360489	−	0.233654i
$814$	4.74254	+	1.06559i	0.166226	+	0.0373488i
$815$	−4.97747	+	4.97747i	−0.174353	+	0.174353i
$816$	36.4724	+	11.6424i	1.27679	+	0.407565i
$817$	10.6903	+	10.6903i	0.374008	+	0.374008i
$818$	−20.4860	−	32.3598i	−0.716276	−	1.13143i
$819$	2.88982	+	16.9966i	0.100978	+	0.593909i
$820$	3.46512	+	0.868878i	0.121007	+	0.0303425i
$821$	29.8942	+	5.94632i	1.04331	+	0.207528i	0.686864	−	0.726786i	$-0.258987\pi$
$821$	29.8942	+	5.94632i	1.04331	+	0.207528i	0.356450	+	0.934314i	$0.383987\pi$
$822$	−23.2516	−	10.7013i	−0.810994	−	0.373250i
$823$	−2.77831	−	6.70744i	−0.0968460	−	0.233807i	0.868031	−	0.496511i	$-0.165386\pi$
$823$	−2.77831	−	6.70744i	−0.0968460	−	0.233807i	−0.964876	+	0.262704i	$0.915386\pi$
$824$	5.64591	+	4.40947i	0.196684	+	0.153611i
$825$	−15.6811	−	16.1254i	−0.545946	−	0.561415i
$826$	−5.94852	+	13.4152i	−0.206975	+	0.466773i
$827$	−11.5018	−	17.2136i	−0.399955	−	0.598575i	0.575760	−	0.817619i	$-0.304706\pi$
$827$	−11.5018	−	17.2136i	−0.399955	−	0.598575i	−0.975715	+	0.219043i	$0.929706\pi$
$828$	24.1060	−	7.86634i	0.837741	−	0.273374i
$829$	−8.30356	+	1.65168i	−0.288395	+	0.0573652i	−0.337168	−	0.941445i	$-0.609469\pi$
$829$	−8.30356	+	1.65168i	−0.288395	+	0.0573652i	0.0487731	+	0.998810i	$0.484469\pi$
$830$	−4.02598	+	5.71495i	−0.139744	+	0.198369i
$831$	−8.30619	−	3.57727i	−0.288139	−	0.124094i
$832$	−8.09528	+	3.82145i	−0.280653	+	0.132485i
$833$			107.071i			3.70979i
$834$	−5.73974	+	3.52233i	−0.198751	+	0.121968i
$835$	−1.71045	−	8.59899i	−0.0591924	−	0.297580i
$836$	−7.29428	+	15.4126i	−0.252278	+	0.533056i
$837$	21.3822	+	15.6213i	0.739076	+	0.539951i
$838$	−31.1851	−	13.8280i	−1.07727	−	0.477681i
$839$	47.2002	+	19.5510i	1.62953	+	0.674975i	0.995180	−	0.0980685i	$-0.0312664\pi$
$839$	47.2002	+	19.5510i	1.62953	+	0.674975i	0.634353	+	0.773043i	$0.281266\pi$
$840$	3.29811	−	11.2857i	0.113795	−	0.389395i
$841$	−17.1839	+	7.11782i	−0.592550	+	0.245442i
$842$	0.358271	−	14.5212i	0.0123468	−	0.500435i
$843$	−7.28677	−	5.01748i	−0.250970	−	0.172811i
$844$	−31.2884	−	7.84555i	−1.07699	−	0.270055i
$845$	4.56481	+	3.05011i	0.157034	+	0.104927i
$846$	−6.11427	+	24.0504i	−0.210213	+	0.826871i
$847$	13.1608	−	13.1608i	0.452209	−	0.452209i
$848$	33.1340	−	17.6894i	1.13783	−	0.607458i
$849$	10.6594	+	26.7862i	0.365828	+	0.919301i
$850$	−8.19194	+	36.4593i	−0.280981	+	1.25054i
$851$	−4.44708	−	2.97144i	−0.152444	−	0.101860i
$852$	−13.6127	+	51.2433i	−0.466365	+	1.75557i
$853$	−24.3865	−	4.85078i	−0.834978	−	0.166087i	−0.240956	−	0.970536i	$-0.577461\pi$
$853$	−24.3865	−	4.85078i	−0.834978	−	0.166087i	−0.594022	+	0.804449i	$0.702461\pi$
$854$	39.8281	+	41.8431i	1.36289	+	1.43184i
$855$	−1.79716	+	4.01747i	−0.0614615	+	0.137395i
$856$	26.9097	+	13.5577i	0.919753	+	0.463392i
$857$	−46.7266	−	19.3548i	−1.59615	−	0.661148i	−0.605287	−	0.796007i	$-0.706942\pi$
$857$	−46.7266	−	19.3548i	−1.59615	−	0.661148i	−0.990865	+	0.134859i	$0.956942\pi$
$858$	7.43853	+	0.287534i	0.253947	+	0.00981626i
$859$	−21.3960	−	32.0214i	−0.730022	−	1.09256i	−0.991846	−	0.127440i	$-0.959324\pi$
$859$	−21.3960	−	32.0214i	−0.730022	−	1.09256i	0.261824	−	0.965116i	$-0.415676\pi$
$860$	−3.33593	+	3.02201i	−0.113754	+	0.103050i
$861$	−7.09814	+	33.2505i	−0.241904	+	1.13317i
$862$	0.270642	+	1.56089i	0.00921809	+	0.0531642i
$863$			32.1217i			1.09344i	0.837317	+	0.546718i	$0.184123\pi$
$863$			32.1217i			1.09344i	−0.837317	+	0.546718i	$0.815877\pi$
$864$	15.5623	−	24.9362i	0.529440	−	0.848348i
$865$			1.52632i			0.0518964i
$866$	0.473969	−	0.0821811i	0.0161061	−	0.00279263i
$867$	−4.89506	+	22.9304i	−0.166245	+	0.778756i
$868$	−52.2816	−	2.58138i	−1.77455	−	0.0876176i
$869$	−5.31310	−	7.95161i	−0.180235	−	0.269740i
$870$	0.142591	−	3.68884i	0.00483429	−	0.125064i
$871$	−13.4830	−	5.58485i	−0.456855	−	0.189236i
$872$	−20.6689	−	23.9790i	−0.699937	−	0.812030i
$873$	3.24678	−	7.25805i	0.109887	−	0.245648i
$874$	13.5901	−	12.9357i	0.459693	−	0.437556i
$875$	23.0252	+	4.58000i	0.778395	+	0.154832i
$876$	12.4958	+	21.5364i	0.422193	+	0.727647i
$877$	−12.8422	−	8.58089i	−0.433651	−	0.289756i	0.319522	−	0.947579i	$-0.396478\pi$
$877$	−12.8422	−	8.58089i	−0.433651	−	0.289756i	−0.753173	+	0.657823i	$0.771478\pi$
$878$	3.30491	+	0.742572i	0.111535	+	0.0250606i
$879$	10.7938	+	27.1240i	0.364065	+	0.914870i
$880$	−4.47612	−	2.39538i	−0.150890	−	0.0807482i
$881$	13.9357	−	13.9357i	0.469505	−	0.469505i	−0.432249	−	0.901754i	$-0.642280\pi$
$881$	13.9357	−	13.9357i	0.469505	−	0.469505i	0.901754	+	0.432249i	$0.142280\pi$
$882$	79.6699	+	20.2543i	2.68263	+	0.681997i
$883$	−5.75134	−	3.84292i	−0.193548	−	0.129325i	0.455020	−	0.890481i	$-0.349632\pi$
$883$	−5.75134	−	3.84292i	−0.193548	−	0.129325i	−0.648568	+	0.761156i	$0.724632\pi$
$884$	−6.35539	−	10.6093i	−0.213755	−	0.356828i
$885$	1.34700	+	0.927508i	0.0452788	+	0.0311778i
$886$	43.2333	+	1.06666i	1.45245	+	0.0358352i
$887$	13.7603	−	5.69972i	0.462027	−	0.191378i	−0.139513	−	0.990220i	$-0.544554\pi$
$887$	13.7603	−	5.69972i	0.462027	−	0.191378i	0.601541	+	0.798842i	$0.294554\pi$
$888$	−6.16356	+	0.670633i	−0.206835	+	0.0225050i
$889$	−70.4620	−	29.1863i	−2.36322	−	0.978877i
$890$	1.19393	−	2.69257i	0.0400207	−	0.0902551i
$891$	−21.0501	+	12.4236i	−0.705205	+	0.416205i
$892$	3.68186	+	10.2981i	0.123278	+	0.344807i
$893$	3.58217	+	18.0088i	0.119873	+	0.602641i
$894$	−14.6988	−	23.9521i	−0.491600	−	0.801077i
$895$		−	10.9293i		−	0.365327i
$896$	1.37574	+	58.0879i	0.0459602	+	1.94058i
$897$	−7.52292	−	3.23993i	−0.251183	−	0.108178i
$898$	17.2835	+	12.1756i	0.576759	+	0.406306i
$899$	−16.1191	+	3.20629i	−0.537603	+	0.106936i
$900$	25.5792	+	12.9924i	0.852639	+	0.433079i
$901$	28.8285	+	43.1449i	0.960417	+	1.43737i
$902$	13.4202	+	5.95074i	0.446843	+	0.198138i
$903$	−29.8661	−	30.7123i	−0.993881	−	1.02204i
$904$	25.6212	−	14.5017i	0.852148	−	0.482319i
$905$	−3.46661	−	8.36913i	−0.115234	−	0.278199i
$906$	0.424849	−	0.923108i	0.0141147	−	0.0306682i
$907$	21.2849	+	4.23383i	0.706754	+	0.140582i	0.535364	−	0.844621i	$-0.320174\pi$
$907$	21.2849	+	4.23383i	0.706754	+	0.140582i	0.171390	+	0.985203i	$0.445174\pi$
$908$	−32.3765	+	19.3949i	−1.07445	+	0.643642i
$909$	−2.69933	−	15.8762i	−0.0895312	−	0.526582i
$910$	−3.20905	+	2.03156i	−0.106379	+	0.0673454i
$911$	20.9488	+	20.9488i	0.694063	+	0.694063i	0.963123	−	0.269060i	$-0.0867130\pi$
$911$	20.9488	+	20.9488i	0.694063	+	0.694063i	−0.269060	+	0.963123i	$0.586713\pi$
$912$	2.44460	−	21.6115i	0.0809487	−	0.715627i
$913$	−20.3132	+	20.3132i	−0.672269	+	0.672269i
$914$	2.03103	−	9.03937i	0.0671805	−	0.298996i
$915$	5.40239	−	3.50161i	0.178597	−	0.115760i
$916$	3.20550	+	2.37859i	0.105913	+	0.0785908i
$917$	−4.84754	+	24.3702i	−0.160080	+	0.804776i
$918$	36.4000	+	18.0013i	1.20138	+	0.594131i
$919$	49.3533	−	20.4428i	1.62801	−	0.674345i	0.633006	−	0.774147i	$-0.281821\pi$
$919$	49.3533	−	20.4428i	1.62801	−	0.674345i	0.995007	+	0.0998013i	$0.0318207\pi$
$920$	3.64713	+	4.23120i	0.120242	+	0.139499i
$921$	−20.3904	−	20.9681i	−0.671886	−	0.690923i
$922$	54.6484	−	21.0725i	1.79975	−	0.693985i
$923$	14.2406	−	9.51524i	0.468734	−	0.313198i
$924$	21.2771	−	43.3802i	0.699964	−	1.42710i
$925$	−1.18057	−	5.93512i	−0.0388169	−	0.195146i
$926$	−3.21260	−	18.5283i	−0.105573	−	0.608876i
$927$	5.22066	+	5.52082i	0.171469	+	0.181327i
$928$	4.85479	+	17.5852i	0.159366	+	0.577262i
$929$	59.6896			1.95835			0.979176	−	0.203011i	$-0.0650728\pi$
$929$	59.6896			1.95835			0.979176	+	0.203011i	$0.0650728\pi$
$930$	−1.35824	+	5.67331i	−0.0445383	+	0.186035i
$931$	59.6563	−	11.8664i	1.95516	−	0.388905i
$932$	−1.30989	−	1.44596i	−0.0429068	−	0.0473639i
$933$	38.3994	−	7.08202i	1.25714	−	0.231855i
$934$	−28.2627	+	10.8981i	−0.924784	+	0.356597i
$935$	2.68399	−	6.47972i	0.0877758	−	0.211910i
$936$	−9.09641	+	2.72203i	−0.297326	+	0.0889722i
$937$	−12.7888	−	30.8750i	−0.417793	−	1.00864i	−0.982985	−	0.183683i	$-0.941198\pi$
$937$	−12.7888	−	30.8750i	−0.417793	−	1.00864i	0.565192	−	0.824959i	$-0.308802\pi$
$938$	−68.6121	+	65.3080i	−2.24026	+	2.13238i
$939$	37.9606	+	26.1387i	1.23880	+	0.853005i
$940$	−5.40784	+	0.800812i	−0.176384	+	0.0261196i
$941$	21.3679	−	31.9793i	0.696573	−	1.04249i	−0.299512	−	0.954092i	$-0.596824\pi$
$941$	21.3679	−	31.9793i	0.696573	−	1.04249i	0.996085	−	0.0884021i	$-0.0281760\pi$
$942$	−17.6472	−	12.8044i	−0.574978	−	0.417189i
$943$	−11.4220	−	11.4220i	−0.371953	−	0.371953i
$944$	−7.73279	−	2.34989i	−0.251681	−	0.0764824i
$945$	5.25093	−	11.3117i	0.170813	−	0.367969i
$946$	−15.6287	+	9.89404i	−0.508132	+	0.321683i
$947$	−23.3148	+	34.8931i	−0.757630	+	1.13387i	0.229399	+	0.973332i	$0.426324\pi$
$947$	−23.3148	+	34.8931i	−0.757630	+	1.13387i	−0.987029	+	0.160541i	$0.948676\pi$
$948$	9.69329	+	7.40491i	0.314823	+	0.240500i
$949$	1.56911	−	7.88846i	0.0509355	−	0.256070i
$950$	21.2218	+	0.523587i	0.688525	+	0.0169874i
$951$	−0.447974	+	32.0687i	−0.0145265	+	1.03990i
$952$	−79.6715	+	9.79658i	−2.58217	+	0.317509i
$953$	7.28192	−	17.5801i	0.235885	−	0.569476i	−0.760965	−	0.648793i	$-0.775274\pi$
$953$	7.28192	−	17.5801i	0.235885	−	0.569476i	0.996849	+	0.0793175i	$0.0252741\pi$
$954$	37.5569	−	13.2893i	1.21595	−	0.430256i
$955$	−5.22639	+	3.49216i	−0.169122	+	0.113004i
$956$	−28.0671	−	13.2832i	−0.907754	−	0.429610i
$957$	3.16709	−	14.8359i	0.102378	−	0.479577i
$958$	10.5672	+	7.44424i	0.341412	+	0.240513i
$959$	53.6659			1.73296
$960$	6.39067	+	1.04425i	0.206258	+	0.0337031i
$961$	−5.02882			−0.162220
$962$	1.63726	+	1.15339i	0.0527874	+	0.0371869i
$963$	26.0673	+	18.4913i	0.840007	+	0.595874i
$964$	−1.62028	+	3.42361i	−0.0521857	+	0.110267i
$965$	0.225099	−	0.150406i	0.00724619	−	0.00484175i
$966$	−39.0172	+	36.1131i	−1.25536	+	1.16192i
$967$	−8.96416	+	21.6414i	−0.288268	+	0.695941i	−0.999979	−	0.00653210i	$-0.997921\pi$
$967$	−8.96416	+	21.6414i	−0.288268	+	0.695941i	0.711711	+	0.702473i	$0.247921\pi$
$968$	8.07849	+	6.30933i	0.259653	+	0.202790i
$969$	30.0440	+	0.419690i	0.965151	+	0.0134824i
$970$	1.75109	+	0.0432033i	0.0562243	+	0.00138718i
$971$	−2.17833	+	10.9512i	−0.0699058	+	0.351440i	−0.999869	−	0.0162135i	$-0.994839\pi$
$971$	−2.17833	+	10.9512i	−0.0699058	+	0.351440i	0.929963	+	0.367654i	$0.119839\pi$
$972$	20.2802	−	23.6794i	0.650486	−	0.759518i
$973$	7.84442	−	11.7400i	0.251481	−	0.376367i
$974$	1.32598	−	0.839441i	0.0424873	−	0.0268974i
$975$	−3.42657	−	8.61073i	−0.109738	−	0.275764i
$976$	−20.1952	+	24.5832i	−0.646433	+	0.786888i
$977$	−2.23715	−	2.23715i	−0.0715729	−	0.0715729i	0.670414	−	0.741987i	$-0.266116\pi$
$977$	−2.23715	−	2.23715i	−0.0715729	−	0.0715729i	−0.741987	+	0.670414i	$0.766116\pi$
$978$	21.6681	−	29.8634i	0.692870	−	0.954927i
$979$	6.72451	−	10.0639i	0.214916	−	0.321645i
$980$	2.65279	+	17.9141i	0.0847401	+	0.572245i
$981$	−17.8677	−	28.4291i	−0.570471	−	0.907671i
$982$	22.6113	−	21.5224i	0.721554	−	0.686807i
$983$	16.0003	+	38.6282i	0.510331	+	1.23205i	0.943691	+	0.330827i	$0.107328\pi$
$983$	16.0003	+	38.6282i	0.510331	+	1.23205i	−0.433361	+	0.901221i	$0.642672\pi$
$984$	−18.6524	−	1.64510i	−0.594618	−	0.0524437i
$985$	2.55895	−	6.17784i	0.0815348	−	0.196842i
$986$	−23.5153	+	9.06750i	−0.748878	+	0.288768i
$987$	−9.43667	−	51.1665i	−0.300373	−	1.62865i
$988$	−5.20677	+	4.71680i	−0.165649	+	0.150061i
$989$	19.9619	−	3.97068i	0.634753	−	0.126260i
$990$	−4.31374	−	3.22286i	−0.137100	−	0.102429i
$991$	5.57261			0.177020			0.0885098	−	0.996075i	$-0.471790\pi$
$991$	5.57261			0.177020			0.0885098	+	0.996075i	$0.471790\pi$
$992$	−2.10300	−	28.7516i	−0.0667703	−	0.912865i
$993$	−44.1472	−	19.0131i	−1.40097	−	0.603362i
$994$	−18.9916	−	109.532i	−0.602377	−	3.47413i
$995$	1.01138	+	5.08457i	0.0320630	+	0.161192i
$996$	16.1356	−	32.8976i	0.511276	−	1.04240i
$997$	3.27041	−	2.18522i	0.103575	−	0.0692065i	−0.502704	−	0.864459i	$-0.667661\pi$
$997$	3.27041	−	2.18522i	0.103575	−	0.0692065i	0.606279	+	0.795252i	$0.292661\pi$
$998$	−21.1012	+	8.13664i	−0.667947	+	0.257561i
$999$	−6.57025	−	0.275487i	−0.207874	−	0.00871602i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	192.2.s.a.11.9	✓	240
3.2	odd	2	inner	192.2.s.a.11.22	yes	240
4.3	odd	2		768.2.s.a.719.2		240
12.11	even	2		768.2.s.a.719.25		240
64.29	even	16		768.2.s.a.47.25		240
64.35	odd	16	inner	192.2.s.a.35.22	yes	240
192.29	odd	16		768.2.s.a.47.2		240
192.35	even	16	inner	192.2.s.a.35.9	yes	240

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
192.2.s.a.11.9	✓	240	1.1	even	1	trivial
192.2.s.a.11.22	yes	240	3.2	odd	2	inner
192.2.s.a.35.9	yes	240	192.35	even	16	inner
192.2.s.a.35.22	yes	240	64.35	odd	16	inner
768.2.s.a.47.2		240	192.29	odd	16
768.2.s.a.47.25		240	64.29	even	16
768.2.s.a.719.2		240	4.3	odd	2
768.2.s.a.719.25		240	12.11	even	2

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:	\( N \)	\(=\)	\( 192 = 2^{6} \cdot 3 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	192.s (of order \(16\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.814459 + 1.15614i) q^{2} +(1.69388 + 0.361602i) q^{3} +(-0.673315 - 1.88325i) q^{4} +(0.388565 - 0.259631i) q^{5} +(-1.79766 + 1.66386i) q^{6} +(1.96536 - 4.74480i) q^{7} +(2.72569 + 0.755387i) q^{8} +(2.73849 + 1.22502i) q^{9} +O(q^{10})\)	\(q+(-0.814459 + 1.15614i) q^{2} +(1.69388 + 0.361602i) q^{3} +(-0.673315 - 1.88325i) q^{4} +(0.388565 - 0.259631i) q^{5} +(-1.79766 + 1.66386i) q^{6} +(1.96536 - 4.74480i) q^{7} +(2.72569 + 0.755387i) q^{8} +(2.73849 + 1.22502i) q^{9} +(-0.0163008 + 0.660694i) q^{10} +(-0.529840 + 2.66369i) q^{11} +(-0.459529 - 3.43349i) q^{12} +(-0.621678 + 0.930407i) q^{13} +(3.88494 + 6.13667i) q^{14} +(0.752068 - 0.299279i) q^{15} +(-3.09329 + 2.53605i) q^{16} +(-3.90750 - 3.90750i) q^{17} +(-3.64668 + 2.16834i) q^{18} +(-1.74407 + 2.61018i) q^{19} +(-0.750578 - 0.556954i) q^{20} +(5.04482 - 7.32646i) q^{21} +(-2.64806 - 2.78203i) q^{22} +(1.61728 + 3.90447i) q^{23} +(4.34386 + 2.26515i) q^{24} +(-1.82984 + 4.41763i) q^{25} +(-0.569349 - 1.47652i) q^{26} +(4.19571 + 3.06529i) q^{27} +(-10.2590 - 0.506530i) q^{28} +(-3.16297 + 0.629154i) q^{29} +(-0.266520 + 1.11324i) q^{30} +5.09619 q^{31} +(-0.412661 - 5.64178i) q^{32} +(-1.86068 + 4.32039i) q^{33} +(7.70012 - 1.33512i) q^{34} +(-0.468226 - 2.35393i) q^{35} +(0.463164 - 5.98210i) q^{36} +(-1.05227 + 0.703105i) q^{37} +(-1.59726 - 4.14227i) q^{38} +(-1.38949 + 1.35120i) q^{39} +(1.25523 - 0.414157i) q^{40} +(-3.53124 + 1.46269i) q^{41} +(4.36161 + 11.7996i) q^{42} +(0.939546 - 4.72342i) q^{43} +(5.37315 - 0.795675i) q^{44} +(1.38214 - 0.234995i) q^{45} +(-5.83132 - 1.31022i) q^{46} +(4.13591 - 4.13591i) q^{47} +(-6.15672 + 3.17723i) q^{48} +(-13.7007 - 13.7007i) q^{49} +(-3.61706 - 5.71353i) q^{50} +(-5.20590 - 8.03182i) q^{51} +(2.17078 + 0.544322i) q^{52} +(-9.20965 - 1.83191i) q^{53} +(-6.96113 + 2.35428i) q^{54} +(0.485698 + 1.17258i) q^{55} +(8.94112 - 11.4482i) q^{56} +(-3.89810 + 3.79069i) q^{57} +(1.84872 - 4.16926i) q^{58} +(1.12252 + 1.67998i) q^{59} +(-1.07000 - 1.21483i) q^{60} +(7.80086 - 1.55169i) q^{61} +(-4.15064 + 5.89191i) q^{62} +(11.1946 - 10.5860i) q^{63} +(6.85878 + 4.11790i) q^{64} +0.522931i q^{65} +(-3.47952 - 5.66998i) q^{66} +(2.54438 + 12.7914i) q^{67} +(-4.72784 + 9.98980i) q^{68} +(1.32763 + 7.19853i) q^{69} +(3.10282 + 1.37584i) q^{70} +(-14.1407 - 5.85725i) q^{71} +(6.53891 + 5.40765i) q^{72} +(-6.64059 + 2.75062i) q^{73} +(0.0441440 - 1.78922i) q^{74} +(-4.69696 + 6.82128i) q^{75} +(6.08995 + 1.52705i) q^{76} +(11.5973 + 7.74908i) q^{77} +(-0.430498 - 2.70694i) q^{78} +(-2.48992 + 2.48992i) q^{79} +(-0.543511 + 1.78853i) q^{80} +(5.99864 + 6.70942i) q^{81} +(1.18498 - 5.27391i) q^{82} +(8.79490 + 5.87657i) q^{83} +(-17.1943 - 4.56766i) q^{84} +(-2.53283 - 0.503811i) q^{85} +(4.69570 + 4.93327i) q^{86} +(-5.58521 - 0.0780209i) q^{87} +(-3.45629 + 6.86015i) q^{88} +(-4.11744 - 1.70550i) q^{89} +(-0.854004 + 1.78933i) q^{90} +(3.19277 + 4.77832i) q^{91} +(6.26417 - 5.67469i) q^{92} +(8.63236 + 1.84279i) q^{93} +(1.41316 + 8.15022i) q^{94} +1.46704i q^{95} +(1.34108 - 9.70575i) q^{96} -2.65039i q^{97} +(26.9986 - 4.68126i) q^{98} +(-4.71404 + 6.64541i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 240 q - 8 q^{3} - 16 q^{4} - 8 q^{6} - 16 q^{7} - 8 q^{9}+O(q^{10}) \) 240 * q - 8 * q^3 - 16 * q^4 - 8 * q^6 - 16 * q^7 - 8 * q^9	\( 240 q - 8 q^{3} - 16 q^{4} - 8 q^{6} - 16 q^{7} - 8 q^{9} - 16 q^{10} - 8 q^{12} - 16 q^{13} - 8 q^{15} - 16 q^{16} - 8 q^{18} - 16 q^{19} - 8 q^{21} - 16 q^{22} - 48 q^{24} - 16 q^{25} - 8 q^{27} - 16 q^{28} - 88 q^{30} - 32 q^{31} - 16 q^{34} - 88 q^{36} - 16 q^{37} - 8 q^{39} - 16 q^{40} - 48 q^{42} - 16 q^{43} - 8 q^{45} - 16 q^{46} - 8 q^{48} - 16 q^{49} - 8 q^{51} + 32 q^{52} - 8 q^{54} - 80 q^{55} - 8 q^{57} + 128 q^{58} - 8 q^{60} - 16 q^{61} + 80 q^{64} - 24 q^{66} - 144 q^{67} - 8 q^{69} + 80 q^{70} - 8 q^{72} - 16 q^{73} - 8 q^{75} + 96 q^{76} + 16 q^{78} - 48 q^{79} - 8 q^{81} + 64 q^{82} + 104 q^{84} - 16 q^{85} - 8 q^{87} + 64 q^{88} + 136 q^{90} - 16 q^{91} - 32 q^{93} + 80 q^{94} + 128 q^{96} - 8 q^{99}+O(q^{100}) \) 240 * q - 8 * q^3 - 16 * q^4 - 8 * q^6 - 16 * q^7 - 8 * q^9 - 16 * q^10 - 8 * q^12 - 16 * q^13 - 8 * q^15 - 16 * q^16 - 8 * q^18 - 16 * q^19 - 8 * q^21 - 16 * q^22 - 48 * q^24 - 16 * q^25 - 8 * q^27 - 16 * q^28 - 88 * q^30 - 32 * q^31 - 16 * q^34 - 88 * q^36 - 16 * q^37 - 8 * q^39 - 16 * q^40 - 48 * q^42 - 16 * q^43 - 8 * q^45 - 16 * q^46 - 8 * q^48 - 16 * q^49 - 8 * q^51 + 32 * q^52 - 8 * q^54 - 80 * q^55 - 8 * q^57 + 128 * q^58 - 8 * q^60 - 16 * q^61 + 80 * q^64 - 24 * q^66 - 144 * q^67 - 8 * q^69 + 80 * q^70 - 8 * q^72 - 16 * q^73 - 8 * q^75 + 96 * q^76 + 16 * q^78 - 48 * q^79 - 8 * q^81 + 64 * q^82 + 104 * q^84 - 16 * q^85 - 8 * q^87 + 64 * q^88 + 136 * q^90 - 16 * q^91 - 32 * q^93 + 80 * q^94 + 128 * q^96 - 8 * q^99

Introduction

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