LMFDB - Embedded newform 192.2.s.a.11.5

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			11.5
Character	$\chi$	$=$	192.11
Dual form			192.2.s.a.35.5

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.28901 - 0.581756i) q^{2} +(-1.06591 - 1.36523i) q^{3} +(1.32312 + 1.49979i) q^{4} +(-0.780999 + 0.521847i) q^{5} +(0.579741 + 2.37990i) q^{6} +(-1.37838 + 3.32770i) q^{7} +(-0.833011 - 2.70298i) q^{8} +(-0.727685 + 2.91041i) q^{9} +O(q^{10})$	\(q+(-1.28901 - 0.581756i) q^{2} +(-1.06591 - 1.36523i) q^{3} +(1.32312 + 1.49979i) q^{4} +(-0.780999 + 0.521847i) q^{5} +(0.579741 + 2.37990i) q^{6} +(-1.37838 + 3.32770i) q^{7} +(-0.833011 - 2.70298i) q^{8} +(-0.727685 + 2.91041i) q^{9} +(1.31031 - 0.218317i) q^{10} +(-0.497066 + 2.49892i) q^{11} +(0.637224 - 3.40499i) q^{12} +(2.51920 - 3.77025i) q^{13} +(3.71266 - 3.48758i) q^{14} +(1.54491 + 0.510000i) q^{15} +(-0.498711 + 3.96879i) q^{16} +(5.19286 + 5.19286i) q^{17} +(2.63115 - 3.32822i) q^{18} +(-3.47404 + 5.19927i) q^{19} +(-1.81601 - 0.480865i) q^{20} +(6.01229 - 1.66522i) q^{21} +(2.09449 - 2.93198i) q^{22} +(-1.23957 - 2.99257i) q^{23} +(-2.80227 + 4.01837i) q^{24} +(-1.57578 + 3.80427i) q^{25} +(-5.44066 + 3.39435i) q^{26} +(4.74901 - 2.10877i) q^{27} +(-6.81460 + 2.33567i) q^{28} +(2.08015 - 0.413767i) q^{29} +(-1.69472 - 1.55616i) q^{30} -1.94266 q^{31} +(2.95171 - 4.82570i) q^{32} +(3.94142 - 1.98501i) q^{33} +(-3.67270 - 9.71466i) q^{34} +(-0.660037 - 3.31823i) q^{35} +(-5.32780 + 2.75944i) q^{36} +(-1.50340 + 1.00454i) q^{37} +(7.50281 - 4.68090i) q^{38} +(-7.83249 + 0.579457i) q^{39} +(2.06112 + 1.67632i) q^{40} +(-9.77894 + 4.05057i) q^{41} +(-8.71868 - 1.35119i) q^{42} +(0.425834 - 2.14081i) q^{43} +(-4.40552 + 2.56088i) q^{44} +(-0.950465 - 2.65276i) q^{45} +(-0.143131 + 4.57860i) q^{46} +(-3.37951 + 3.37951i) q^{47} +(5.94987 - 3.54951i) q^{48} +(-4.22392 - 4.22392i) q^{49} +(4.24437 - 3.98705i) q^{50} +(1.55432 - 12.6245i) q^{51} +(8.98778 - 1.21023i) q^{52} +(-7.14718 - 1.42166i) q^{53} +(-7.34833 - 0.0445323i) q^{54} +(-0.915845 - 2.21105i) q^{55} +(10.1429 + 0.953718i) q^{56} +(10.8012 - 0.799086i) q^{57} +(-2.92205 - 0.676786i) q^{58} +(1.29740 + 1.94170i) q^{59} +(1.27921 + 2.99182i) q^{60} +(10.1995 - 2.02881i) q^{61} +(2.50412 + 1.13015i) q^{62} +(-8.68194 - 6.43317i) q^{63} +(-6.61219 + 4.50322i) q^{64} +4.25920i q^{65} +(-6.23534 + 0.265761i) q^{66} +(-0.456424 - 2.29460i) q^{67} +(-0.917403 + 14.6590i) q^{68} +(-2.76428 + 4.88209i) q^{69} +(-1.07960 + 4.66123i) q^{70} +(5.26208 + 2.17963i) q^{71} +(8.47294 - 0.457484i) q^{72} +(0.438735 - 0.181730i) q^{73} +(2.52230 - 0.420254i) q^{74} +(6.87333 - 1.90370i) q^{75} +(-12.3944 + 1.66894i) q^{76} +(-7.63052 - 5.09855i) q^{77} +(10.4333 + 3.80967i) q^{78} +(0.330131 - 0.330131i) q^{79} +(-1.68161 - 3.35987i) q^{80} +(-7.94095 - 4.23572i) q^{81} +(14.9617 + 0.467716i) q^{82} +(1.97824 + 1.32182i) q^{83} +(10.4524 + 6.81386i) q^{84} +(-6.76550 - 1.34574i) q^{85} +(-1.79434 + 2.51181i) q^{86} +(-2.78213 - 2.39883i) q^{87} +(7.16859 - 0.738069i) q^{88} +(13.8518 + 5.73759i) q^{89} +(-0.318099 + 3.97239i) q^{90} +(9.07386 + 13.5800i) q^{91} +(2.84813 - 5.81861i) q^{92} +(2.07069 + 2.65217i) q^{93} +(6.32230 - 2.39019i) q^{94} -5.87354i q^{95} +(-9.73442 + 1.11399i) q^{96} -8.85251i q^{97} +(2.98740 + 7.90199i) q^{98} +(-6.91117 - 3.26509i) 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 $

$2$	−1.28901	−	0.581756i	−0.911471	−	0.411364i
$2$	−1.28901	−	0.581756i	−0.911471	−	0.411364i
$3$	−1.06591	−	1.36523i	−0.615402	−	0.788214i
$3$	−1.06591	−	1.36523i	−0.615402	−	0.788214i
$4$	1.32312	+	1.49979i	0.661560	+	0.749893i
$5$	−0.780999	+	0.521847i	−0.349273	+	0.233377i	−0.717814	−	0.696235i	$-0.754857\pi$
$5$	−0.780999	+	0.521847i	−0.349273	+	0.233377i	0.368541	+	0.929611i	$0.379857\pi$
$6$	0.579741	+	2.37990i	0.236678	+	0.971588i
$7$	−1.37838	+	3.32770i	−0.520978	+	1.25775i	0.416318	+	0.909219i	$0.363320\pi$
$7$	−1.37838	+	3.32770i	−0.520978	+	1.25775i	−0.937296	+	0.348534i	$0.886680\pi$
$8$	−0.833011	−	2.70298i	−0.294514	−	0.955647i
$9$	−0.727685	+	2.91041i	−0.242562	+	0.970136i
$10$	1.31031	−	0.218317i	0.414355	−	0.0690379i
$11$	−0.497066	+	2.49892i	−0.149871	+	0.753453i	0.830612	+	0.556851i	$0.187991\pi$
$11$	−0.497066	+	2.49892i	−0.149871	+	0.753453i	−0.980483	+	0.196602i	$0.937009\pi$
$12$	0.637224	−	3.40499i	0.183951	−	0.982935i
$13$	2.51920	−	3.77025i	0.698701	−	1.04568i	−0.297163	−	0.954827i	$-0.596040\pi$
$13$	2.51920	−	3.77025i	0.698701	−	1.04568i	0.995864	−	0.0908537i	$-0.0289596\pi$
$14$	3.71266	−	3.48758i	0.992251	−	0.932094i
$15$	1.54491	+	0.510000i	0.398894	+	0.131681i
$16$	−0.498711	+	3.96879i	−0.124678	+	0.992197i
$17$	5.19286	+	5.19286i	1.25945	+	1.25945i	0.951354	+	0.308100i	$0.0996932\pi$
$17$	5.19286	+	5.19286i	1.25945	+	1.25945i	0.308100	+	0.951354i	$0.400307\pi$
$18$	2.63115	−	3.32822i	0.620167	−	0.784470i
$19$	−3.47404	+	5.19927i	−0.797000	+	1.19280i	0.180854	+	0.983510i	$0.442114\pi$
$19$	−3.47404	+	5.19927i	−0.797000	+	1.19280i	−0.977855	+	0.209285i	$0.932886\pi$
$20$	−1.81601	−	0.480865i	−0.406073	−	0.107525i
$21$	6.01229	−	1.66522i	1.31199	−	0.363381i
$22$	2.09449	−	2.93198i	0.446547	−	0.625099i
$23$	−1.23957	−	2.99257i	−0.258467	−	0.623995i	0.740370	−	0.672199i	$-0.234650\pi$
$23$	−1.23957	−	2.99257i	−0.258467	−	0.623995i	−0.998837	+	0.0482042i	$0.984650\pi$
$24$	−2.80227	+	4.01837i	−0.572010	+	0.820247i
$25$	−1.57578	+	3.80427i	−0.315156	+	0.760855i
$26$	−5.44066	+	3.39435i	−1.06700	+	0.665687i
$27$	4.74901	−	2.10877i	0.913947	−	0.405833i
$28$	−6.81460	+	2.33567i	−1.28784	+	0.441401i
$29$	2.08015	−	0.413767i	0.386273	−	0.0768345i	0.00186630	−	0.999998i	$-0.499406\pi$
$29$	2.08015	−	0.413767i	0.386273	−	0.0768345i	0.384407	+	0.923164i	$0.374406\pi$
$30$	−1.69472	−	1.55616i	−0.309412	−	0.284114i
$31$	−1.94266			−0.348912			−0.174456	−	0.984665i	$-0.555817\pi$
$31$	−1.94266			−0.348912			−0.174456	+	0.984665i	$0.555817\pi$
$32$	2.95171	−	4.82570i	0.521794	−	0.853071i
$33$	3.94142	−	1.98501i	0.686113	−	0.345546i
$34$	−3.67270	−	9.71466i	−0.629862	−	1.66605i
$35$	−0.660037	−	3.31823i	−0.111567	−	0.560884i
$36$	−5.32780	+	2.75944i	−0.887967	+	0.459907i
$37$	−1.50340	+	1.00454i	−0.247157	+	0.165145i	−0.672978	−	0.739662i	$-0.734985\pi$
$37$	−1.50340	+	1.00454i	−0.247157	+	0.165145i	0.425821	+	0.904807i	$0.359985\pi$
$38$	7.50281	−	4.68090i	1.21712	−	0.759341i
$39$	−7.83249	+	0.579457i	−1.25420	+	0.0927874i
$40$	2.06112	+	1.67632i	0.325892	+	0.265049i
$41$	−9.77894	+	4.05057i	−1.52721	+	0.632593i	−0.979021	−	0.203759i	$-0.934684\pi$
$41$	−9.77894	+	4.05057i	−1.52721	+	0.632593i	−0.548193	+	0.836352i	$0.684684\pi$
$42$	−8.71868	−	1.35119i	−1.34532	−	0.208494i
$43$	0.425834	−	2.14081i	0.0649391	−	0.326471i	−0.934636	−	0.355605i	$-0.884275\pi$
$43$	0.425834	−	2.14081i	0.0649391	−	0.326471i	0.999576	+	0.0291338i	$0.00927488\pi$
$44$	−4.40552	+	2.56088i	−0.664158	+	0.386067i
$45$	−0.950465	−	2.65276i	−0.141687	−	0.395451i
$46$	−0.143131	+	4.57860i	−0.0211036	+	0.675078i
$47$	−3.37951	+	3.37951i	−0.492953	+	0.492953i	−0.909235	−	0.416283i	$-0.863333\pi$
$47$	−3.37951	+	3.37951i	−0.492953	+	0.492953i	0.416283	+	0.909235i	$0.363333\pi$
$48$	5.94987	−	3.54951i	0.858790	−	0.512327i
$49$	−4.22392	−	4.22392i	−0.603417	−	0.603417i
$50$	4.24437	−	3.98705i	0.600244	−	0.563853i
$51$	1.55432	−	12.6245i	0.217649	−	1.76779i
$52$	8.98778	−	1.21023i	1.24638	−	0.167829i
$53$	−7.14718	−	1.42166i	−0.981741	−	0.195280i	−0.321972	−	0.946749i	$-0.604346\pi$
$53$	−7.14718	−	1.42166i	−0.981741	−	0.195280i	−0.659769	+	0.751469i	$0.729346\pi$
$54$	−7.34833	−	0.0445323i	−0.999982	−	0.00606008i
$55$	−0.915845	−	2.21105i	−0.123493	−	0.298137i
$56$	10.1429	+	0.953718i	1.35540	+	0.127446i
$57$	10.8012	−	0.799086i	1.43065	−	0.105842i
$58$	−2.92205	−	0.676786i	−0.383684	−	0.0888664i
$59$	1.29740	+	1.94170i	0.168907	+	0.252787i	0.906260	−	0.422720i	$-0.138925\pi$
$59$	1.29740	+	1.94170i	0.168907	+	0.252787i	−0.737353	+	0.675507i	$0.763925\pi$
$60$	1.27921	+	2.99182i	0.165145	+	0.386243i
$61$	10.1995	−	2.02881i	1.30592	−	0.259763i	0.507387	−	0.861718i	$-0.330611\pi$
$61$	10.1995	−	2.02881i	1.30592	−	0.259763i	0.798530	+	0.601955i	$0.205611\pi$
$62$	2.50412	+	1.13015i	0.318023	+	0.143530i
$63$	−8.68194	−	6.43317i	−1.09382	−	0.810503i
$64$	−6.61219	+	4.50322i	−0.826523	+	0.562903i
$65$			4.25920i			0.528289i
$66$	−6.23534	+	0.265761i	−0.767517	+	0.0327129i
$67$	−0.456424	−	2.29460i	−0.0557610	−	0.280330i	0.942838	−	0.333253i	$-0.108146\pi$
$67$	−0.456424	−	2.29460i	−0.0557610	−	0.280330i	−0.998599	+	0.0529230i	$0.983146\pi$
$68$	−0.917403	+	14.6590i	−0.111251	+	1.77766i
$69$	−2.76428	+	4.88209i	−0.332780	+	0.587735i
$70$	−1.07960	+	4.66123i	−0.129037	+	0.557124i
$71$	5.26208	+	2.17963i	0.624495	+	0.258674i	0.672412	−	0.740177i	$-0.265258\pi$
$71$	5.26208	+	2.17963i	0.624495	+	0.258674i	−0.0479173	+	0.998851i	$0.515258\pi$
$72$	8.47294	−	0.457484i	0.998546	−	0.0539150i
$73$	0.438735	−	0.181730i	0.0513500	−	0.0212699i	−0.356861	−	0.934158i	$-0.616153\pi$
$73$	0.438735	−	0.181730i	0.0513500	−	0.0212699i	0.408211	+	0.912888i	$0.366153\pi$
$74$	2.52230	−	0.420254i	0.293211	−	0.0488535i
$75$	6.87333	−	1.90370i	0.793664	−	0.219821i
$76$	−12.3944	+	1.66894i	−1.42173	+	0.191440i
$77$	−7.63052	−	5.09855i	−0.869578	−	0.581034i
$78$	10.4333	+	3.80967i	1.18134	+	0.431360i
$79$	0.330131	−	0.330131i	0.0371426	−	0.0371426i	−0.688292	−	0.725434i	$-0.741639\pi$
$79$	0.330131	−	0.330131i	0.0371426	−	0.0371426i	0.725434	+	0.688292i	$0.241639\pi$
$80$	−1.68161	−	3.35987i	−0.188009	−	0.375645i
$81$	−7.94095	−	4.23572i	−0.882328	−	0.470636i
$82$	14.9617	+	0.467716i	1.65224	+	0.0516505i
$83$	1.97824	+	1.32182i	0.217140	+	0.145088i	0.659384	−	0.751807i	$-0.270817\pi$
$83$	1.97824	+	1.32182i	0.217140	+	0.145088i	−0.442244	+	0.896895i	$0.645817\pi$
$84$	10.4524	+	6.81386i	1.14046	+	0.743453i
$85$	−6.76550	−	1.34574i	−0.733821	−	0.145966i
$86$	−1.79434	+	2.51181i	−0.193489	+	0.270855i
$87$	−2.78213	−	2.39883i	−0.298275	−	0.257182i
$88$	7.16859	−	0.738069i	0.764174	−	0.0786784i
$89$	13.8518	+	5.73759i	1.46828	+	0.608183i	0.966467	−	0.256790i	$-0.0826649\pi$
$89$	13.8518	+	5.73759i	1.46828	+	0.608183i	0.501817	+	0.864974i	$0.332665\pi$
$90$	−0.318099	+	3.97239i	−0.0335305	+	0.418727i
$91$	9.07386	+	13.5800i	0.951199	+	1.42357i
$92$	2.84813	−	5.81861i	0.296938	−	0.606632i
$93$	2.07069	+	2.65217i	0.214721	+	0.275017i
$94$	6.32230	−	2.39019i	0.652095	−	0.246529i
$95$		−	5.87354i		−	0.602613i
$96$	−9.73442	+	1.11399i	−0.993516	+	0.113696i
$97$		−	8.85251i		−	0.898836i	−0.893322	−	0.449418i	$-0.851631\pi$
$97$		−	8.85251i		−	0.898836i	0.893322	−	0.449418i	$-0.148369\pi$
$98$	2.98740	+	7.90199i	0.301773	+	0.798222i
$99$	−6.91117	−	3.26509i	−0.694599	−	0.328154i
$100$	−7.79054	+	2.67017i	−0.779054	+	0.267017i
$101$	−3.40614	−	5.09765i	−0.338924	−	0.507235i	0.622384	−	0.782712i	$-0.286164\pi$
$101$	−3.40614	−	5.09765i	−0.338924	−	0.507235i	−0.961308	+	0.275477i	$0.911164\pi$
$102$	−9.34795	+	15.3690i	−0.925585	+	1.52176i
$103$	13.2435	+	5.48562i	1.30492	+	0.540514i	0.923397	−	0.383847i	$-0.125401\pi$
$103$	13.2435	+	5.48562i	1.30492	+	0.540514i	0.381520	+	0.924361i	$0.375401\pi$
$104$	−12.2894	−	3.66869i	−1.20508	−	0.359745i
$105$	−3.82660	+	4.43803i	−0.373438	+	0.433107i
$106$	8.38576	+	5.99046i	0.814497	+	0.581845i
$107$	−4.40932	−	0.877069i	−0.426265	−	0.0847894i	−0.0227044	−	0.999742i	$-0.507228\pi$
$107$	−4.40932	−	0.877069i	−0.426265	−	0.0847894i	−0.403561	+	0.914953i	$0.632228\pi$
$108$	9.44621	+	4.33234i	0.908962	+	0.416880i
$109$	−0.124732	−	0.0833435i	−0.0119472	−	0.00798286i	0.549582	−	0.835440i	$-0.314787\pi$
$109$	−0.124732	−	0.0833435i	−0.0119472	−	0.00798286i	−0.561529	+	0.827457i	$0.689787\pi$
$110$	−0.105752	+	3.38287i	−0.0100830	+	0.322544i
$111$	2.97390	+	0.981734i	0.282270	+	0.0931820i
$112$	−12.5195	−	7.13006i	−1.18298	−	0.673727i
$113$	5.30663	−	5.30663i	0.499206	−	0.499206i	−0.411985	−	0.911191i	$-0.635164\pi$
$113$	5.30663	−	5.30663i	0.499206	−	0.499206i	0.911191	+	0.411985i	$0.135164\pi$
$114$	−14.3878	−	5.25363i	−1.34754	−	0.492047i
$115$	2.52976	+	1.69033i	0.235902	+	0.157624i
$116$	3.37284	+	2.57231i	0.313160	+	0.238833i
$117$	9.13979	+	10.0755i	0.844974	+	0.931477i
$118$	−0.542774	−	3.25765i	−0.0499664	−	0.299891i
$119$	−24.4380	+	10.1226i	−2.24023	+	0.927934i
$120$	0.0915918	−	4.60069i	0.00836115	−	0.419984i
$121$	4.16514	+	1.72526i	0.378649	+	0.156842i
$122$	−14.3276	−	3.31847i	−1.29716	−	0.300440i
$123$	15.9534	+	9.03294i	1.43847	+	0.814473i
$124$	−2.57037	−	2.91357i	−0.230826	−	0.261646i
$125$	−1.67080	−	8.39970i	−0.149441	−	0.751292i
$126$	7.44862	+	13.3432i	0.663576	+	1.18871i
$127$		−	13.3579i		−	1.18532i	−0.805453	−	0.592660i	$-0.798078\pi$
$127$		−	13.3579i		−	1.18532i	0.805453	−	0.592660i	$-0.201922\pi$
$128$	11.1430	−	1.95804i	0.984910	−	0.173068i
$129$	−3.37660	+	1.70055i	−0.297293	+	0.149725i
$130$	2.47782	−	5.49017i	0.217319	−	0.481520i
$131$	−2.89396	+	0.575645i	−0.252847	+	0.0502943i	−0.319886	−	0.947456i	$-0.603645\pi$
$131$	−2.89396	+	0.575645i	−0.252847	+	0.0502943i	0.0670394	+	0.997750i	$0.478645\pi$
$132$	8.19205	+	3.28488i	0.713027	+	0.285912i
$133$	−12.5131	−	18.7272i	−1.08502	−	1.62385i
$134$	−0.746560	+	3.22330i	−0.0644929	+	0.278451i
$135$	−2.60852	+	4.12520i	−0.224505	+	0.355041i
$136$	9.71048	−	18.3619i	0.832667	−	1.57452i
$137$	1.60161	+	3.86664i	0.136835	+	0.330349i	0.977412	−	0.211343i	$-0.0677838\pi$
$137$	1.60161	+	3.86664i	0.136835	+	0.330349i	−0.840577	+	0.541692i	$0.817784\pi$
$138$	6.40339	−	4.68495i	0.545093	−	0.398810i
$139$	10.9115	+	2.17043i	0.925500	+	0.184093i	0.634761	−	0.772709i	$-0.281099\pi$
$139$	10.9115	+	2.17043i	0.925500	+	0.184093i	0.290739	+	0.956802i	$0.406099\pi$
$140$	4.10333	−	5.38033i	0.346794	−	0.454721i
$141$	8.21605	+	1.01155i	0.691916	+	0.0851882i
$142$	−5.51489	−	5.87082i	−0.462800	−	0.492668i
$143$	8.16936	+	8.16936i	0.683156	+	0.683156i
$144$	−11.1879	−	4.33948i	−0.932324	−	0.361624i
$145$	−1.40867	+	1.40867i	−0.116983	+	0.116983i
$146$	−0.671258	−	0.0209842i	−0.0555537	−	0.00173666i
$147$	−1.26430	+	10.2689i	−0.104278	+	0.846966i
$148$	−3.49577	−	0.925650i	−0.287350	−	0.0760879i
$149$	3.55360	−	17.8652i	0.291122	−	1.46357i	−0.507455	−	0.861678i	$-0.669414\pi$
$149$	3.55360	−	17.8652i	0.291122	−	1.46357i	0.798577	−	0.601892i	$-0.205586\pi$
$150$	−9.96732	−	1.54470i	−0.813828	−	0.126124i
$151$	0.893827	−	0.370235i	0.0727386	−	0.0301293i	−0.346017	−	0.938228i	$-0.612466\pi$
$151$	0.893827	−	0.370235i	0.0727386	−	0.0301293i	0.418756	+	0.908099i	$0.362466\pi$
$152$	16.9474	+	5.05921i	1.37462	+	0.410356i
$153$	−18.8921	+	11.3346i	−1.52734	+	0.916346i
$154$	6.86974	+	11.0112i	0.553579	+	0.887308i
$155$	1.51721	−	1.01377i	0.121865	−	0.0814279i
$156$	−11.2324	−	10.9804i	−0.899310	−	0.879132i
$157$	−0.270350	−	1.35914i	−0.0215763	−	0.108471i	0.968496	−	0.249028i	$-0.0801110\pi$
$157$	−0.270350	−	1.35914i	−0.0215763	−	0.108471i	−0.990073	+	0.140556i	$0.955111\pi$
$158$	−0.617600	+	0.233488i	−0.0491336	+	0.0185753i
$159$	5.67734	+	11.2729i	0.450242	+	0.893997i
$160$	0.212990	+	5.30921i	0.0168383	+	0.419730i
$161$	11.6670			0.919487
$162$	7.77184	+	10.0796i	0.610614	+	0.791929i
$163$	1.14862	−	0.228474i	0.0899665	−	0.0178955i	−0.149902	−	0.988701i	$-0.547896\pi$
$163$	1.14862	−	0.228474i	0.0899665	−	0.0178955i	0.239868	+	0.970805i	$0.422896\pi$
$164$	−19.0137	−	9.30693i	−1.48472	−	0.726749i
$165$	−2.04237	+	3.60711i	−0.158998	+	0.280813i
$166$	−1.78100	−	2.85470i	−0.138233	−	0.221567i
$167$	7.95121	−	19.1959i	0.615283	−	1.48542i	−0.241842	−	0.970316i	$-0.577752\pi$
$167$	7.95121	−	19.1959i	0.615283	−	1.48542i	0.857125	−	0.515109i	$-0.172248\pi$
$168$	−9.50936	−	14.8639i	−0.733663	−	1.14678i
$169$	−2.89355	−	6.98564i	−0.222581	−	0.537357i
$170$	7.93793	+	5.67055i	0.608812	+	0.434911i
$171$	−12.6040	−	13.8943i	−0.963852	−	1.06253i
$172$	3.77419	−	2.19389i	0.287779	−	0.167283i
$173$	−12.2151	+	18.2811i	−0.928693	+	1.38989i	−0.00784395	+	0.999969i	$0.502497\pi$
$173$	−12.2151	+	18.2811i	−0.928693	+	1.38989i	−0.920849	+	0.389919i	$0.872503\pi$
$174$	2.19067	+	4.71065i	0.166074	+	0.357113i
$175$	−10.4875	−	10.4875i	−0.792778	−	0.792778i
$176$	−9.66980	−	3.21899i	−0.728888	−	0.242641i
$177$	1.26795	−	3.84091i	0.0953048	−	0.288701i
$178$	−14.5173	−	15.4542i	−1.08811	−	1.15834i
$179$	5.36222	−	8.02513i	0.400791	−	0.599826i	−0.575100	−	0.818083i	$-0.695037\pi$
$179$	5.36222	−	8.02513i	0.400791	−	0.599826i	0.975891	+	0.218257i	$0.0700370\pi$
$180$	2.72100	−	4.93542i	0.202811	−	0.367864i
$181$	−4.02619	+	20.2410i	−0.299264	+	1.50450i	0.479699	+	0.877433i	$0.340746\pi$
$181$	−4.02619	+	20.2410i	−0.299264	+	1.50450i	−0.778963	+	0.627069i	$0.784254\pi$
$182$	−3.79610	−	22.7836i	−0.281385	−	1.68883i
$183$	−13.6415	−	11.7621i	−1.00841	−	0.869483i
$184$	−7.05629	+	5.84336i	−0.520197	+	0.430779i
$185$	0.649936	−	1.56909i	0.0477843	−	0.115361i
$186$	−1.12624	−	4.62332i	−0.0825798	−	0.338998i
$187$	−15.5578	+	10.3954i	−1.13770	+	0.760184i
$188$	−9.54004	−	0.597045i	−0.695779	−	0.0435440i
$189$	0.471416	+	18.7100i	0.0342905	+	1.36095i
$190$	−3.41697	+	7.57108i	−0.247893	+	0.549264i
$191$	22.5496			1.63163			0.815816	−	0.578311i	$-0.196288\pi$
$191$	22.5496			1.63163			0.815816	+	0.578311i	$0.196288\pi$
$192$	13.1959	+	4.22712i	0.952331	+	0.305066i
$193$	−20.2161			−1.45519			−0.727595	−	0.686007i	$-0.759362\pi$
$193$	−20.2161			−1.45519			−0.727595	+	0.686007i	$0.759362\pi$
$194$	−5.15000	+	11.4110i	−0.369749	+	0.819263i
$195$	5.81477	−	4.53991i	0.416405	−	0.325110i
$196$	0.746224	−	11.9237i	0.0533017	−	0.851695i
$197$	−10.9919	+	7.34453i	−0.783137	+	0.523276i	−0.881675	−	0.471858i	$-0.843584\pi$
$197$	−10.9919	+	7.34453i	−0.783137	+	0.523276i	0.0985373	+	0.995133i	$0.468584\pi$
$198$	7.00912	+	8.22937i	0.498116	+	0.584836i
$199$	−10.4125	+	25.1380i	−0.738123	+	1.78199i	−0.124760	+	0.992187i	$0.539816\pi$
$199$	−10.4125	+	25.1380i	−0.738123	+	1.78199i	−0.613364	+	0.789801i	$0.710184\pi$
$200$	11.5955	+	1.09030i	0.819927	+	0.0770961i
$201$	−2.64614	+	3.06895i	−0.186644	+	0.216467i
$202$	1.42498	+	8.55250i	0.100261	+	0.601752i
$203$	−1.49034	+	7.49243i	−0.104601	+	0.525866i
$204$	20.9907	−	14.3726i	1.46964	−	1.00628i
$205$	5.52356	−	8.26660i	0.385782	−	0.577364i
$206$	−13.8797	−	14.7755i	−0.967046	−	1.02946i
$207$	9.61163	−	1.42999i	0.668054	−	0.0993910i
$208$	13.7070	+	11.8785i	0.950409	+	0.823623i
$209$	−11.2657	−	11.2657i	−0.779268	−	0.779268i
$210$	7.51439	−	3.49453i	0.518542	−	0.241146i
$211$	13.1657	−	19.7038i	0.906361	−	1.35647i	−0.0277998	−	0.999614i	$-0.508850\pi$
$211$	13.1657	−	19.7038i	0.906361	−	1.35647i	0.934161	−	0.356852i	$-0.116150\pi$
$212$	−7.32438	−	12.6003i	−0.503041	−	0.865390i
$213$	−2.63321	−	9.50721i	−0.180424	−	0.651424i
$214$	5.17344	+	3.69571i	0.353649	+	0.252633i
$215$	0.784600	+	1.89419i	0.0535093	+	0.129183i
$216$	−9.65593	−	11.0798i	−0.657003	−	0.753888i
$217$	2.67772	−	6.46459i	0.181775	−	0.438845i
$218$	0.112296	+	0.179995i	0.00760567	+	0.0121908i
$219$	−0.715753	−	0.405265i	−0.0483661	−	0.0273853i
$220$	2.10432	−	4.29905i	0.141873	−	0.289842i
$221$	32.6603	−	6.49654i	2.19697	−	0.437004i
$222$	−3.26228	−	2.99556i	−0.218950	−	0.201049i
$223$	10.1449			0.679355			0.339678	−	0.940542i	$-0.389682\pi$
$223$	10.1449			0.679355			0.339678	+	0.940542i	$0.389682\pi$
$224$	11.9899	+	16.4741i	0.801109	+	1.10072i
$225$	−9.92532	−	7.35448i	−0.661688	−	0.490299i
$226$	−9.92750	+	3.75316i	−0.660367	+	0.249657i
$227$	5.10913	+	25.6853i	0.339105	+	1.70479i	0.654690	+	0.755898i	$0.272799\pi$
$227$	5.10913	+	25.6853i	0.339105	+	1.70479i	−0.315585	+	0.948897i	$0.602201\pi$
$228$	15.4897	+	15.1422i	1.02583	+	1.00282i
$229$	−17.5274	+	11.7114i	−1.15824	+	0.773914i	−0.977773	−	0.209666i	$-0.932762\pi$
$229$	−17.5274	+	11.7114i	−1.15824	+	0.773914i	−0.180471	+	0.983580i	$0.557762\pi$
$230$	−2.27754	−	3.65057i	−0.150177	−	0.240712i
$231$	1.17275	+	15.8520i	0.0771612	+	1.04298i
$232$	−2.85119	−	5.27792i	−0.187190	−	0.346512i
$233$	−1.86538	+	0.772664i	−0.122205	+	0.0506189i	−0.442948	−	0.896547i	$-0.646067\pi$
$233$	−1.86538	+	0.772664i	−0.122205	+	0.0506189i	0.320743	+	0.947166i	$0.396067\pi$
$234$	−5.91986	−	18.3046i	−0.386993	−	1.19661i
$235$	0.875808	−	4.40298i	0.0571314	−	0.287219i
$236$	−1.19551	+	4.51492i	−0.0778213	+	0.293896i
$237$	−0.802592	−	0.0988146i	−0.0521340	−	0.00641870i
$238$	37.3899	+	1.16884i	2.42362	+	0.0757648i
$239$	4.04233	−	4.04233i	0.261476	−	0.261476i	−0.564177	−	0.825654i	$-0.690807\pi$
$239$	4.04233	−	4.04233i	0.261476	−	0.261476i	0.825654	+	0.564177i	$0.190807\pi$
$240$	−2.79455	+	5.87708i	−0.180387	+	0.379364i
$241$	3.06119	+	3.06119i	0.197188	+	0.197188i	0.798794	−	0.601605i	$-0.205472\pi$
$241$	3.06119	+	3.06119i	0.197188	+	0.197188i	−0.601605	+	0.798794i	$0.705472\pi$
$242$	−4.36525	−	4.64698i	−0.280609	−	0.298719i
$243$	2.68159	+	15.3561i	0.172024	+	0.985093i
$244$	16.5380	+	12.6128i	1.05874	+	0.807449i
$245$	5.50312	+	1.09464i	0.351581	+	0.0699338i
$246$	−15.3092	−	20.9246i	−0.976078	−	1.33410i
$247$	10.8508	+	26.1961i	0.690418	+	1.66682i
$248$	1.61826	+	5.25096i	0.102759	+	0.333436i
$249$	−0.304039	−	4.10968i	−0.0192677	−	0.260440i
$250$	−2.73289	+	11.7993i	−0.172843	+	0.746256i
$251$	4.05637	+	6.07079i	0.256036	+	0.383185i	0.937113	−	0.349027i	$-0.113488\pi$
$251$	4.05637	+	6.07079i	0.256036	+	0.383185i	−0.681077	+	0.732212i	$0.738488\pi$
$252$	−1.83888	−	21.5329i	−0.115838	−	1.35644i
$253$	8.09435	−	1.61007i	0.508888	−	0.101224i
$254$	−7.77103	+	17.2185i	−0.487598	+	1.08038i
$255$	5.37415	+	10.6709i	0.336542	+	0.668236i
$256$	−15.5026	−	3.95856i	−0.968911	−	0.247410i
$257$			9.55742i			0.596176i	0.954538	+	0.298088i	$0.0963488\pi$
$257$			9.55742i			0.596176i	−0.954538	+	0.298088i	$0.903651\pi$
$258$	5.34179	−	0.227676i	0.332565	−	0.0141745i
$259$	−1.27055	−	6.38749i	−0.0789482	−	0.396899i
$260$	−6.38789	+	5.63543i	−0.396160	+	0.349495i
$261$	−0.309462	+	6.35516i	−0.0191552	+	0.393375i
$262$	4.06525	+	0.941566i	0.251152	+	0.0581701i
$263$	15.7747	+	6.53409i	0.972708	+	0.402909i	0.811720	−	0.584047i	$-0.198532\pi$
$263$	15.7747	+	6.53409i	0.972708	+	0.402909i	0.160989	+	0.986956i	$0.448532\pi$
$264$	−8.64868	−	9.00004i	−0.532290	−	0.553914i
$265$	6.32383	−	2.61941i	0.388470	−	0.160909i
$266$	5.23491	+	31.4191i	0.320973	+	1.92643i
$267$	−6.93159	−	25.0265i	−0.424206	−	1.53160i
$268$	2.83750	−	3.72056i	0.173328	−	0.227270i
$269$	−13.9649	−	9.33106i	−0.851456	−	0.568925i	0.0514922	−	0.998673i	$-0.483602\pi$
$269$	−13.9649	−	9.33106i	−0.851456	−	0.568925i	−0.902949	+	0.429748i	$0.858602\pi$
$270$	5.76228	−	3.79992i	0.350681	−	0.231256i
$271$	7.12290	−	7.12290i	0.432685	−	0.432685i	−0.456856	−	0.889541i	$-0.651024\pi$
$271$	7.12290	−	7.12290i	0.432685	−	0.432685i	0.889541	+	0.456856i	$0.151024\pi$
$272$	−23.1991	+	18.0196i	−1.40665	+	1.09260i
$273$	8.86788	−	26.8629i	0.536708	−	1.62582i
$274$	0.184937	−	5.91590i	0.0111724	−	0.357393i
$275$	−8.72332	−	5.82873i	−0.526036	−	0.351486i
$276$	−10.9796	+	2.31376i	−0.660892	+	0.139272i
$277$	3.90395	+	0.776545i	0.234566	+	0.0466581i	0.310973	−	0.950419i	$-0.399345\pi$
$277$	3.90395	+	0.776545i	0.234566	+	0.0466581i	−0.0764075	+	0.997077i	$0.524345\pi$
$278$	−12.8024	−	9.14554i	−0.767837	−	0.548513i
$279$	1.41364	−	5.65393i	0.0846326	−	0.338492i
$280$	−8.41929	+	4.54819i	−0.503149	+	0.271806i
$281$	11.5840	+	4.79825i	0.691043	+	0.286239i	0.700435	−	0.713717i	$-0.252990\pi$
$281$	11.5840	+	4.79825i	0.691043	+	0.286239i	−0.00939167	+	0.999956i	$0.502990\pi$
$282$	−10.0021	−	6.08365i	−0.595618	−	0.362276i
$283$	−4.09592	−	6.12998i	−0.243477	−	0.364389i	0.689524	−	0.724263i	$-0.257820\pi$
$283$	−4.09592	−	6.12998i	−0.243477	−	0.364389i	−0.933001	+	0.359874i	$0.882820\pi$
$284$	3.69339	+	10.7759i	0.219163	+	0.639432i
$285$	−8.01871	+	6.26065i	−0.474988	+	0.370849i
$286$	−5.77785	−	15.2830i	−0.341651	−	0.903703i
$287$		−	38.1246i		−	2.25043i
$288$	11.8968	+	12.1023i	0.701028	+	0.713134i
$289$			36.9316i			2.17245i
$290$	2.63530	−	0.996292i	0.154750	−	0.0585043i
$291$	−12.0857	+	9.43595i	−0.708475	+	0.553145i
$292$	0.853054	+	0.417558i	0.0499212	+	0.0244357i
$293$	0.116379	+	0.174174i	0.00679894	+	0.0101753i	0.834854	−	0.550472i	$-0.185552\pi$
$293$	0.116379	+	0.174174i	0.00679894	+	0.0101753i	−0.828055	+	0.560648i	$0.810552\pi$
$294$	7.60371	−	12.5013i	0.443457	−	0.729089i
$295$	−2.02654	−	0.839419i	−0.117989	−	0.0488728i
$296$	3.96759	+	3.22686i	0.230612	+	0.187557i
$297$	2.90907	+	12.9156i	0.168802	+	0.749439i
$298$	−14.9738	+	20.9611i	−0.867410	+	1.21425i
$299$	−14.4055	−	2.86543i	−0.833091	−	0.165712i
$300$	11.9494	+	7.78970i	0.689898	+	0.449738i
$301$	6.53703	+	4.36790i	0.376788	+	0.251762i
$302$	−1.36754	−	0.0427507i	−0.0786933	−	0.00246003i
$303$	−3.32882	+	10.0838i	−0.191236	+	0.579298i
$304$	−18.9023	−	16.3807i	−1.08412	−	0.939497i
$305$	−6.90709	+	6.90709i	−0.395499	+	0.395499i
$306$	30.9462	−	3.61983i	1.76908	−	0.206932i
$307$	−12.7188	−	8.49845i	−0.725902	−	0.485032i	0.136893	−	0.990586i	$-0.456288\pi$
$307$	−12.7188	−	8.49845i	−0.725902	−	0.485032i	−0.862795	+	0.505553i	$0.831288\pi$
$308$	−2.44936	−	18.1901i	−0.139565	−	1.03648i
$309$	−6.62718	−	23.9275i	−0.377007	−	1.36119i
$310$	−2.54548	+	0.424116i	−0.144573	+	0.0240881i
$311$	21.6343	−	8.96124i	1.22677	−	0.508145i	0.327215	−	0.944950i	$-0.393890\pi$
$311$	21.6343	−	8.96124i	1.22677	−	0.508145i	0.899556	+	0.436805i	$0.143890\pi$
$312$	8.09081	+	20.6883i	0.458052	+	1.17125i
$313$	5.51637	+	2.28496i	0.311804	+	0.129153i	0.533097	−	0.846054i	$-0.321028\pi$
$313$	5.51637	+	2.28496i	0.311804	+	0.129153i	−0.221294	+	0.975207i	$0.571028\pi$
$314$	−0.442204	+	1.90923i	−0.0249550	+	0.107744i
$315$	10.1377	+	0.493651i	0.571195	+	0.0278141i
$316$	0.931928	+	0.0583229i	0.0524251	+	0.00328092i
$317$	2.74242	+	13.7871i	0.154030	+	0.774359i	0.978143	+	0.207934i	$0.0666739\pi$
$317$	2.74242	+	13.7871i	0.154030	+	0.774359i	−0.824113	+	0.566425i	$0.808326\pi$
$318$	−0.760105	−	17.8337i	−0.0426245	−	1.00007i
$319$			5.40379i			0.302554i
$320$	2.81412	−	6.96756i	0.157314	−	0.389498i
$321$	3.50253	+	6.95460i	0.195492	+	0.388168i
$322$	−15.0389	−	6.78734i	−0.838086	−	0.378244i
$323$	−45.0393	+	8.95888i	−2.50606	+	0.498486i
$324$	−4.15415	−	17.5141i	−0.230786	−	0.973005i
$325$	10.3734	+	15.5248i	0.575411	+	0.861163i
$326$	−1.61350	−	0.373708i	−0.0893634	−	0.0206978i
$327$	0.0191704	+	0.259124i	0.00106012	+	0.0143296i
$328$	19.0946	+	23.0581i	1.05432	+	1.27317i
$329$	−6.58776	−	15.9043i	−0.363195	−	0.876830i
$330$	4.73110	−	3.46145i	0.260439	−	0.190547i
$331$	−6.82759	−	1.35809i	−0.375278	−	0.0746474i	0.00384773	−	0.999993i	$-0.498775\pi$
$331$	−6.82759	−	1.35809i	−0.375278	−	0.0746474i	−0.379126	+	0.925345i	$0.623775\pi$
$332$	0.635004	+	4.71586i	0.0348504	+	0.258816i
$333$	−1.82962	−	5.10649i	−0.100262	−	0.279834i
$334$	−21.4166	+	20.1182i	−1.17186	+	1.10082i
$335$	1.55389	+	1.55389i	0.0848983	+	0.0848983i
$336$	3.61051	+	24.6920i	0.196970	+	1.34706i
$337$	7.75569	−	7.75569i	0.422479	−	0.422479i	−0.463577	−	0.886057i	$-0.653434\pi$
$337$	7.75569	−	7.75569i	0.422479	−	0.422479i	0.886057	+	0.463577i	$0.153434\pi$
$338$	−0.334115	+	10.6879i	−0.0181735	+	0.581347i
$339$	−12.9011	−	1.58838i	−0.700693	−	0.0862689i
$340$	−6.93323	−	11.9274i	−0.376007	−	0.646852i
$341$	0.965630	−	4.85455i	0.0522918	−	0.262889i
$342$	8.16363	+	25.2424i	0.441439	+	1.36495i
$343$	−3.41580	+	1.41487i	−0.184436	+	0.0763957i
$344$	−6.14130	+	0.632300i	−0.331117	+	0.0340913i
$345$	−0.388804	−	5.25544i	−0.0209325	−	0.282943i
$346$	26.3805	−	16.4585i	1.41823	−	0.884812i
$347$	−19.8874	+	13.2883i	−1.06761	+	0.713354i	−0.959762	−	0.280813i	$-0.909396\pi$
$347$	−19.8874	+	13.2883i	−1.06761	+	0.713354i	−0.107847	+	0.994167i	$0.534396\pi$
$348$	−0.0833512	−	7.34653i	−0.00446809	−	0.393815i
$349$	2.45312	+	12.3327i	0.131313	+	0.660154i	0.989230	+	0.146366i	$0.0467579\pi$
$349$	2.45312	+	12.3327i	0.131313	+	0.660154i	−0.857918	+	0.513787i	$0.828242\pi$
$350$	7.41735	+	19.6197i	0.396474	+	1.04871i
$351$	4.01313	−	23.2174i	0.214205	−	1.23925i
$352$	10.5918	+	9.77480i	0.564547	+	0.520998i
$353$	16.8958			0.899273			0.449637	−	0.893212i	$-0.351553\pi$
$353$	16.8958			0.899273			0.449637	+	0.893212i	$0.351553\pi$
$354$	−3.86888	+	4.21336i	−0.205629	+	0.223937i
$355$	−5.24711	+	1.04372i	−0.278488	+	0.0553947i
$356$	9.72239	+	28.3662i	0.515286	+	1.50341i
$357$	39.8683	+	22.5737i	2.11005	+	1.19473i
$358$	−11.5806	+	7.22500i	−0.612056	+	0.381853i
$359$	8.31876	−	20.0833i	0.439047	−	1.05995i	−0.537231	−	0.843435i	$-0.680530\pi$
$359$	8.31876	−	20.0833i	0.439047	−	1.05995i	0.976278	−	0.216519i	$-0.0694704\pi$
$360$	−6.37862	+	4.77887i	−0.336183	+	0.251868i
$361$	−7.69248	−	18.5713i	−0.404868	−	0.977437i
$362$	16.9652	−	23.7487i	0.891669	−	1.24820i
$363$	−2.08429	−	7.52533i	−0.109397	−	0.394977i
$364$	−8.36128	+	31.5768i	−0.438250	+	1.65507i
$365$	−0.247816	+	0.370883i	−0.0129713	+	0.0194129i
$366$	10.7415	+	23.0976i	0.561465	+	1.20733i
$367$	−9.66176	−	9.66176i	−0.504340	−	0.504340i	0.408444	−	0.912784i	$-0.366072\pi$
$367$	−9.66176	−	9.66176i	−0.504340	−	0.504340i	−0.912784	+	0.408444i	$0.866072\pi$
$368$	12.4951	−	3.42714i	0.651351	−	0.178652i
$369$	−4.67282	−	31.4083i	−0.243257	−	1.63505i
$370$	−1.75060	+	1.64447i	−0.0910095	+	0.0854919i
$371$	14.5824	−	21.8241i	0.757080	−	1.13305i
$372$	−1.23791	+	6.61473i	−0.0641826	+	0.342958i
$373$	5.94684	−	29.8968i	0.307915	−	1.54800i	−0.448427	−	0.893820i	$-0.648016\pi$
$373$	5.94684	−	29.8968i	0.307915	−	1.54800i	0.756342	−	0.654176i	$-0.226984\pi$
$374$	26.1017	−	4.34895i	1.34969	−	0.224879i
$375$	−9.68657	+	11.2343i	−0.500212	+	0.580138i
$376$	11.9499	+	6.31958i	0.616270	+	0.325908i
$377$	3.68030	−	8.88504i	0.189545	−	0.457603i
$378$	10.2770	−	24.3917i	0.528591	−	1.25457i
$379$	−1.09128	+	0.729169i	−0.0560552	+	0.0374549i	−0.583282	−	0.812270i	$-0.698232\pi$
$379$	−1.09128	+	0.729169i	−0.0560552	+	0.0374549i	0.527227	+	0.849725i	$0.323232\pi$
$380$	8.80905	−	7.77140i	0.451895	−	0.398664i
$381$	−18.2365	+	14.2382i	−0.934285	+	0.729448i
$382$	−29.0668	−	13.1184i	−1.48719	−	0.671195i
$383$	−9.62629			−0.491880			−0.245940	−	0.969285i	$-0.579097\pi$
$383$	−9.62629			−0.491880			−0.245940	+	0.969285i	$0.579097\pi$
$384$	−14.5505	−	13.1256i	−0.742530	−	0.669813i
$385$	8.62008			0.439320
$386$	26.0589	+	11.7609i	1.32636	+	0.598612i
$387$	5.92077	+	2.79719i	0.300970	+	0.142189i
$388$	13.2769	−	11.7129i	0.674030	−	0.594633i
$389$	8.99400	−	6.00960i	0.456014	−	0.304699i	−0.306266	−	0.951946i	$-0.599080\pi$
$389$	8.99400	−	6.00960i	0.456014	−	0.304699i	0.762280	+	0.647247i	$0.224080\pi$
$390$	−10.1365	+	2.46923i	−0.513279	+	0.125034i
$391$	9.10314	−	21.9769i	0.460365	−	1.11142i
$392$	−7.89860	+	14.9357i	−0.398939	+	0.754369i
$393$	3.87058	+	3.33733i	0.195245	+	0.168346i
$394$	18.4414	−	3.07262i	0.929064	−	0.154796i
$395$	−0.0855541	+	0.430109i	−0.00430469	+	0.0216412i
$396$	−4.24736	−	14.6854i	−0.213438	−	0.737968i
$397$	1.33142	−	1.99262i	0.0668223	−	0.100007i	−0.796554	−	0.604568i	$-0.793346\pi$
$397$	1.33142	−	1.99262i	0.0668223	−	0.100007i	0.863376	+	0.504561i	$0.168346\pi$
$398$	28.0461	−	26.3457i	1.40582	−	1.32059i
$399$	−12.2290	+	37.0446i	−0.612217	+	1.85455i
$400$	−14.3125	−	8.15118i	−0.715625	−	0.407559i
$401$	−12.4417	−	12.4417i	−0.621308	−	0.621308i	0.324558	−	0.945866i	$-0.394785\pi$
$401$	−12.4417	−	12.4417i	−0.621308	−	0.621308i	−0.945866	+	0.324558i	$0.894785\pi$
$402$	5.19629	−	2.41651i	0.259168	−	0.120525i
$403$	−4.89395	+	7.32432i	−0.243785	+	0.364850i
$404$	3.13865	−	11.8533i	0.156154	−	0.589723i
$405$	8.41227	−	0.835864i	0.418009	−	0.0415344i
$406$	6.27984	−	8.79084i	0.311663	−	0.436282i
$407$	−1.76297	−	4.25619i	−0.0873873	−	0.210972i
$408$	−35.4186	+	6.31507i	−1.75348	+	0.312643i
$409$	9.56929	−	23.1023i	0.473171	−	1.14234i	−0.489583	−	0.871957i	$-0.662851\pi$
$409$	9.56929	−	23.1023i	0.473171	−	1.14234i	0.962754	−	0.270379i	$-0.0871489\pi$
$410$	−11.9291	+	7.44240i	−0.589136	+	0.367554i
$411$	3.57166	−	6.30804i	0.176177	−	0.311153i
$412$	9.29542	+	27.1205i	0.457952	+	1.33613i
$413$	−8.24970	+	1.64097i	−0.405941	+	0.0807467i
$414$	−13.2214	−	3.74835i	−0.649798	−	0.184221i
$415$	−2.23479			−0.109701
$416$	−10.7581	−	23.2856i	−0.527462	−	1.14167i
$417$	−8.66750	−	17.2101i	−0.424449	−	0.842783i
$418$	7.96780	+	21.0756i	0.389718	+	1.03084i
$419$	0.572629	+	2.87880i	0.0279747	+	0.140639i	0.992249	−	0.124269i	$-0.0396586\pi$
$419$	0.572629	+	2.87880i	0.0279747	+	0.140639i	−0.964274	+	0.264908i	$0.914659\pi$
$420$	−11.7191	+	0.132961i	−0.571835	+	0.00648784i
$421$	−14.9937	+	10.0185i	−0.730749	+	0.488271i	−0.864430	−	0.502754i	$-0.832320\pi$
$421$	−14.9937	+	10.0185i	−0.730749	+	0.488271i	0.133681	+	0.991024i	$0.457320\pi$
$422$	−28.4335	+	17.7393i	−1.38412	+	0.863535i
$423$	−7.37654	−	12.2950i	−0.358660	−	0.597803i
$424$	2.11096	+	20.5029i	0.102517	+	0.995710i
$425$	−27.9379	+	11.5723i	−1.35519	+	0.561337i
$426$	−2.13664	+	13.7868i	−0.103520	+	0.667974i
$427$	−7.30754	+	36.7375i	−0.353637	+	1.77785i
$428$	−4.51864	−	7.77350i	−0.218417	−	0.375746i
$429$	2.44525	−	19.8608i	0.118058	−	0.958888i
$430$	0.0905971	−	2.89809i	0.00436898	−	0.139758i
$431$	−6.70250	+	6.70250i	−0.322848	+	0.322848i	−0.849859	−	0.527011i	$-0.823313\pi$
$431$	−6.70250	+	6.70250i	−0.322848	+	0.322848i	0.527011	+	0.849859i	$0.323313\pi$
$432$	6.00087	+	19.8995i	0.288717	+	0.957414i
$433$	25.0412	+	25.0412i	1.20340	+	1.20340i	0.973125	+	0.230278i	$0.0739636\pi$
$433$	25.0412	+	25.0412i	1.20340	+	1.20340i	0.230278	+	0.973125i	$0.426036\pi$
$434$	−7.21243	+	6.77517i	−0.346208	+	0.325218i
$435$	3.42466	+	0.421642i	0.164200	+	0.0202162i
$436$	−0.0400385	−	0.297345i	−0.00191749	−	0.0142403i
$437$	19.8655	+	3.95150i	0.950297	+	0.189026i
$438$	0.686850	+	0.938786i	0.0328190	+	0.0448569i
$439$	−11.7002	−	28.2467i	−0.558419	−	1.34814i	−0.911017	−	0.412368i	$-0.864702\pi$
$439$	−11.7002	−	28.2467i	−0.558419	−	1.34814i	0.352598	−	0.935775i	$-0.385298\pi$
$440$	−5.21350	+	4.31734i	−0.248544	+	0.205821i
$441$	15.3670	−	9.21965i	0.731763	−	0.439031i
$442$	−45.8790	−	10.6262i	−2.18224	−	0.505437i
$443$	−9.55325	−	14.2974i	−0.453889	−	0.679292i	0.531991	−	0.846750i	$-0.321444\pi$
$443$	−9.55325	−	14.2974i	−0.453889	−	0.679292i	−0.985879	+	0.167458i	$0.946444\pi$
$444$	2.46244	+	5.75917i	0.116862	+	0.273318i
$445$	−13.8124	+	2.74745i	−0.654768	+	0.130242i
$446$	−13.0770	−	5.90188i	−0.619213	−	0.279462i
$447$	−28.1778	+	14.1911i	−1.33276	+	0.671217i
$448$	−5.87128	−	28.2105i	−0.277392	−	1.33282i
$449$		−	24.5088i		−	1.15664i	−0.815810	−	0.578320i	$-0.803708\pi$
$449$		−	24.5088i		−	1.15664i	0.815810	−	0.578320i	$-0.196292\pi$
$450$	8.51537	+	15.2542i	0.401418	+	0.719088i
$451$	−5.26127	−	26.4502i	−0.247744	−	1.24549i
$452$	14.9801	+	0.937502i	0.704606	+	0.0440964i
$453$	−1.45819	−	0.825640i	−0.0685118	−	0.0387919i
$454$	8.35686	−	36.0810i	0.392207	−	1.69337i
$455$	−14.1733	−	5.87079i	−0.664457	−	0.275227i
$456$	−11.1574	−	28.5297i	−0.522494	−	1.33603i
$457$	8.42954	−	3.49163i	0.394317	−	0.163332i	−0.176709	−	0.984263i	$-0.556545\pi$
$457$	8.42954	−	3.49163i	0.394317	−	0.163332i	0.571027	+	0.820932i	$0.306545\pi$
$458$	29.4063	−	4.89954i	1.37407	−	0.228941i
$459$	35.6115	+	13.7104i	1.66220	+	0.639947i
$460$	0.812041	+	6.03061i	0.0378616	+	0.281179i
$461$	−4.23784	−	2.83163i	−0.197376	−	0.131882i	0.452955	−	0.891533i	$-0.350370\pi$
$461$	−4.23784	−	2.83163i	−0.197376	−	0.131882i	−0.650331	+	0.759651i	$0.725370\pi$
$462$	7.71029	−	21.1157i	0.358715	−	0.982390i
$463$	−21.0591	+	21.0591i	−0.978699	+	0.978699i	−0.999778	−	0.0210785i	$-0.993290\pi$
$463$	−21.0591	+	21.0591i	−0.978699	+	0.978699i	0.0210785	+	0.999778i	$0.493290\pi$
$464$	0.604760	+	8.46201i	0.0280753	+	0.392839i
$465$	−3.00123	−	0.990755i	−0.139179	−	0.0459452i
$466$	2.85400	+	0.0892188i	0.132209	+	0.00413298i
$467$	24.5474	+	16.4021i	1.13592	+	0.758997i	0.973717	−	0.227761i	$-0.0731404\pi$
$467$	24.5474	+	16.4021i	1.13592	+	0.758997i	0.162202	+	0.986758i	$0.448140\pi$
$468$	−3.01801	+	27.0388i	−0.139507	+	1.24987i
$469$	8.26486	+	1.64398i	0.381636	+	0.0759121i
$470$	−3.69039	+	5.16600i	−0.170225	+	0.238290i
$471$	−1.56737	+	1.81781i	−0.0722206	+	0.0837602i
$472$	4.16762	−	5.12430i	0.191830	−	0.235865i
$473$	5.13806	+	2.12825i	0.236248	+	0.0978572i
$474$	0.977067	+	0.594287i	0.0448782	+	0.0272965i
$475$	−14.3051	−	21.4091i	−0.656364	−	0.982319i
$476$	−47.5161	−	23.2584i	−2.17790	−	1.06605i
$477$	9.33851	−	19.7667i	0.427581	−	0.905054i
$478$	−7.56227	+	2.85897i	−0.345890	+	0.130766i
$479$			20.3391i			0.929315i	0.885490	+	0.464658i	$0.153823\pi$
$479$			20.3391i			0.929315i	−0.885490	+	0.464658i	$0.846177\pi$
$480$	7.02124	−	5.94990i	0.320474	−	0.271574i
$481$			8.19883i			0.373834i
$482$	−2.16505	−	5.72678i	−0.0986154	−	0.260848i
$483$	−12.4359	−	15.9281i	−0.565854	−	0.724753i
$484$	2.92346	+	8.52954i	0.132885	+	0.387706i
$485$	4.61965	+	6.91379i	0.209767	+	0.313939i
$486$	5.47688	−	21.3542i	0.248436	−	0.968648i
$487$	−1.07385	−	0.444804i	−0.0486609	−	0.0201560i	0.358220	−	0.933637i	$-0.383384\pi$
$487$	−1.07385	−	0.444804i	−0.0486609	−	0.0201560i	−0.406881	+	0.913481i	$0.633384\pi$
$488$	−13.9802	−	25.8791i	−0.632852	−	1.17149i
$489$	−1.53624	−	1.32459i	−0.0694710	−	0.0599000i
$490$	−6.45679	−	4.61248i	−0.291688	−	0.208370i
$491$	26.9490	+	5.36048i	1.21619	+	0.241915i	0.761162	−	0.648562i	$-0.224629\pi$
$491$	26.9490	+	5.36048i	1.21619	+	0.241915i	0.455028	+	0.890477i	$0.349629\pi$
$492$	7.56077	+	35.8783i	0.340866	+	1.61752i
$493$	12.9505	+	8.65328i	0.583263	+	0.389724i
$494$	1.25293	−	40.0796i	0.0563719	−	1.80327i
$495$	7.10149	−	1.05654i	0.319188	−	0.0474878i
$496$	0.968826	−	7.71000i	0.0435016	−	0.346189i
$497$	−14.5063	+	14.5063i	−0.650696	+	0.650696i
$498$	−1.99892	+	5.47431i	−0.0895738	+	0.245310i
$499$	28.2598	+	18.8826i	1.26508	+	0.845301i	0.993131	−	0.117010i	$-0.0373311\pi$
$499$	28.2598	+	18.8826i	1.26508	+	0.845301i	0.271951	+	0.962311i	$0.412331\pi$
$500$	10.3871	−	13.6197i	0.464524	−	0.609090i
$501$	−34.6820	+	9.60586i	−1.54948	+	0.429158i
$502$	−1.69700	−	10.1852i	−0.0757410	−	0.454586i
$503$	0.241993	−	0.100237i	0.0107899	−	0.00446934i	−0.377282	−	0.926098i	$-0.623141\pi$
$503$	0.241993	−	0.100237i	0.0107899	−	0.00446934i	0.388072	+	0.921629i	$0.373141\pi$
$504$	−10.1566	+	28.8260i	−0.452409	+	1.28401i
$505$	5.32038	+	2.20378i	0.236754	+	0.0980667i
$506$	−11.3704	−	2.63354i	−0.505476	−	0.117075i
$507$	−6.45273	+	11.3964i	−0.286576	+	0.506132i
$508$	20.0339	−	17.6741i	0.888862	−	0.784159i
$509$	5.30525	+	26.6713i	0.235151	+	1.18218i	0.900231	+	0.435412i	$0.143397\pi$
$509$	5.30525	+	26.6713i	0.235151	+	1.18218i	−0.665080	+	0.746772i	$0.731603\pi$
$510$	−0.719512	−	16.8813i	−0.0318605	−	0.747519i
$511$			1.71047i			0.0756668i
$512$	17.6801	+	14.1214i	0.781359	+	0.624082i
$513$	−5.53420	+	32.0174i	−0.244341	+	1.41360i
$514$	5.56009	−	12.3197i	0.245245	−	0.543397i
$515$	−13.2058	+	2.62679i	−0.581916	+	0.115750i
$516$	−7.01809	−	2.81414i	−0.308954	−	0.123886i
$517$	−6.76530	−	10.1250i	−0.297537	−	0.445296i
$518$	−2.07820	+	8.97272i	−0.0913111	+	0.394239i
$519$	37.9780	−	2.80966i	1.66705	−	0.123330i
$520$	11.5125	−	3.54796i	0.504858	−	0.155588i
$521$	0.684739	+	1.65311i	0.0299990	+	0.0724239i	0.938169	−	0.346177i	$-0.112520\pi$
$521$	0.684739	+	1.65311i	0.0299990	+	0.0724239i	−0.908170	+	0.418601i	$0.862520\pi$
$522$	4.09606	−	8.01187i	0.179280	−	0.350670i
$523$	−26.9544	−	5.36156i	−1.17863	−	0.234445i	−0.433370	−	0.901216i	$-0.642676\pi$
$523$	−26.9544	−	5.36156i	−1.17863	−	0.234445i	−0.745262	+	0.666772i	$0.767676\pi$
$524$	−4.69240	−	3.57868i	−0.204989	−	0.156335i
$525$	−3.13910	+	25.4964i	−0.137002	+	1.11276i
$526$	−16.5326	−	17.5996i	−0.720853	−	0.767377i
$527$	−10.0880	−	10.0880i	−0.439438	−	0.439438i
$528$	5.91245	+	16.6326i	0.257306	+	0.723841i
$529$	8.84447	−	8.84447i	0.384542	−	0.384542i
$530$	−9.67537	−	0.302461i	−0.420271	−	0.0131381i
$531$	−6.59523	+	2.36302i	−0.286209	+	0.102546i
$532$	11.5304	−	43.5452i	0.499907	−	1.88792i
$533$	−9.36347	+	47.0733i	−0.405577	+	2.03897i
$534$	−5.62443	+	36.2921i	−0.243393	+	1.57051i
$535$	3.90137	−	1.61600i	0.168671	−	0.0698658i
$536$	−5.82204	+	3.14513i	−0.251474	+	0.135849i
$537$	−16.6717	+	1.23340i	−0.719439	+	0.0532250i
$538$	12.5726	+	20.1521i	0.542043	+	0.868817i
$539$	12.6548	−	8.45568i	0.545082	−	0.364212i
$540$	−9.63829	+	1.54592i	−0.414766	+	0.0665257i
$541$	3.79880	+	19.0979i	0.163323	+	0.821081i	0.972390	+	0.233364i	$0.0749732\pi$
$541$	3.79880	+	19.0979i	0.163323	+	0.821081i	−0.809066	+	0.587717i	$0.800027\pi$
$542$	−13.3253	+	5.03773i	−0.572371	+	0.216389i
$543$	31.9251	−	16.0784i	1.37004	−	0.689989i
$544$	40.3870	−	9.73135i	1.73158	−	0.417228i
$545$	0.140908			0.00603585
$546$	−27.0585	+	29.4677i	−1.15800	+	1.26110i
$547$	10.4827	−	2.08513i	0.448207	−	0.0891539i	0.0341741	−	0.999416i	$-0.489120\pi$
$547$	10.4827	−	2.08513i	0.448207	−	0.0891539i	0.414033	+	0.910262i	$0.364120\pi$
$548$	−3.68000	+	7.51810i	−0.157202	+	0.321157i
$549$	−1.51738	+	31.1611i	−0.0647601	+	1.32993i
$550$	7.85358	+	12.5882i	0.334878	+	0.536761i
$551$	−5.07523	+	12.2527i	−0.216212	+	0.521982i
$552$	15.4989	+	3.40496i	0.659676	+	0.144925i
$553$	0.643532	+	1.55362i	0.0273658	+	0.0660668i
$554$	−4.58050	−	3.27213i	−0.194607	−	0.139019i
$555$	−2.83493	+	0.785189i	−0.120336	+	0.0333294i
$556$	11.1820	+	19.2366i	0.474223	+	0.815814i
$557$	8.57600	−	12.8349i	0.363377	−	0.543832i	−0.604062	−	0.796938i	$-0.706452\pi$
$557$	8.57600	−	12.8349i	0.363377	−	0.543832i	0.967439	+	0.253105i	$0.0814520\pi$
$558$	−5.11142	+	6.46560i	−0.216383	+	0.273711i
$559$	−6.99865	−	6.99865i	−0.296011	−	0.296011i
$560$	13.4985	−	0.964709i	0.570417	−	0.0407664i
$561$	30.7751	+	10.1594i	1.29933	+	0.428929i
$562$	−12.1405	−	12.9241i	−0.512117	−	0.545169i
$563$	13.4593	−	20.1433i	0.567243	−	0.848940i	−0.431338	−	0.902191i	$-0.641958\pi$
$563$	13.4593	−	20.1433i	0.567243	−	0.848940i	0.998581	+	0.0532507i	$0.0169583\pi$
$564$	9.35370	+	13.6607i	0.393862	+	0.575220i
$565$	−1.37522	+	6.91372i	−0.0578561	+	0.290863i
$566$	1.71355	+	10.2845i	0.0720259	+	0.432288i
$567$	25.0409	−	20.5867i	1.05162	−	0.864559i
$568$	1.50811	−	16.0390i	0.0632789	−	0.672980i
$569$	3.48492	−	8.41335i	0.146096	−	0.352706i	−0.833844	−	0.552000i	$-0.813865\pi$
$569$	3.48492	−	8.41335i	0.146096	−	0.352706i	0.979940	+	0.199294i	$0.0638649\pi$
$570$	13.9784	−	3.40513i	0.585491	−	0.142625i
$571$	−7.82470	+	5.22829i	−0.327453	+	0.218797i	−0.708419	−	0.705792i	$-0.750591\pi$
$571$	−7.82470	+	5.22829i	−0.327453	+	0.218797i	0.380966	+	0.924589i	$0.375591\pi$
$572$	−1.44325	+	23.0613i	−0.0603452	+	0.964242i
$573$	−24.0358	−	30.7853i	−1.00411	−	1.28608i
$574$	−22.1792	+	49.1432i	−0.925744	+	2.05120i
$575$	13.3379			0.556227
$576$	−8.29462	−	22.5211i	−0.345609	−	0.938379i
$577$	6.59995			0.274760			0.137380	−	0.990518i	$-0.456132\pi$
$577$	6.59995			0.274760			0.137380	+	0.990518i	$0.456132\pi$
$578$	21.4852	−	47.6054i	0.893667	−	1.98013i
$579$	21.5485	+	27.5996i	0.895526	+	1.14700i
$580$	−3.97653	−	0.248864i	−0.165117	−	0.0103335i
$581$	−7.12538	+	4.76102i	−0.295610	+	0.197521i
$582$	21.0680	−	5.13216i	0.873298	−	0.212735i
$583$	7.10524	−	17.1536i	0.294269	−	0.710429i
$584$	−0.856683	−	1.03451i	−0.0354498	−	0.0428082i
$585$	−12.3960	−	3.09936i	−0.512512	−	0.128143i
$586$	−0.0486878	−	0.292217i	−0.00201128	−	0.0120714i
$587$	−2.95556	+	14.8586i	−0.121989	+	0.613281i	0.870623	+	0.491951i	$0.163716\pi$
$587$	−2.95556	+	14.8586i	−0.121989	+	0.613281i	−0.992612	+	0.121330i	$0.961284\pi$
$588$	−17.0740	+	11.6908i	−0.704119	+	0.482121i
$589$	6.74888	−	10.1004i	0.278083	−	0.416180i
$590$	2.12390	+	2.26097i	0.0874395	+	0.0930828i
$591$	21.7432	+	7.17779i	0.894397	+	0.295255i
$592$	−3.23704	−	6.46764i	−0.133041	−	0.265818i
$593$	16.2234	+	16.2234i	0.666216	+	0.666216i	0.956838	−	0.290622i	$-0.0938621\pi$
$593$	16.2234	+	16.2234i	0.666216	+	0.666216i	−0.290622	+	0.956838i	$0.593862\pi$
$594$	3.76389	−	18.3408i	0.154434	−	0.752531i
$595$	13.8036	−	20.6586i	0.565894	−	0.846920i
$596$	31.4957	−	18.3081i	1.29012	−	0.749929i
$597$	45.4179	−	12.5794i	1.85883	−	0.514839i
$598$	16.9019	+	12.0741i	0.691170	+	0.493745i
$599$	17.7975	+	42.9669i	0.727185	+	1.75558i	0.651756	+	0.758429i	$0.274033\pi$
$599$	17.7975	+	42.9669i	0.727185	+	1.75558i	0.0754288	+	0.997151i	$0.475967\pi$
$600$	−10.8712	−	16.9927i	−0.443816	−	0.693723i
$601$	−17.1057	+	41.2969i	−0.697758	+	1.68454i	0.0307760	+	0.999526i	$0.490202\pi$
$601$	−17.1057	+	41.2969i	−0.697758	+	1.68454i	−0.728534	+	0.685010i	$0.759798\pi$
$602$	−5.88527	−	9.43325i	−0.239866	−	0.384471i
$603$	7.01035	+	0.341365i	0.285483	+	0.0139015i
$604$	1.73791	+	0.850683i	0.0707147	+	0.0346138i
$605$	−4.15329	+	0.826141i	−0.168855	+	0.0335874i
$606$	10.1572	−	11.0616i	0.412608	−	0.449346i
$607$	−7.60619			−0.308726			−0.154363	−	0.988014i	$-0.549332\pi$
$607$	−7.60619			−0.308726			−0.154363	+	0.988014i	$0.549332\pi$
$608$	14.8358	+	32.1115i	0.601669	+	1.30229i
$609$	11.8174	−	5.95159i	0.478866	−	0.241170i
$610$	12.9216	−	4.88510i	0.523180	−	0.197792i
$611$	4.22794	+	21.2553i	0.171044	+	0.859898i
$612$	−41.9960	−	13.3371i	−1.69759	−	0.539121i
$613$	30.7225	−	20.5281i	1.24087	−	0.829123i	0.250574	−	0.968097i	$-0.419381\pi$
$613$	30.7225	−	20.5281i	1.24087	−	0.829123i	0.990296	+	0.138975i	$0.0443806\pi$
$614$	11.4507	+	18.3539i	0.462114	+	0.740703i
$615$	−17.1734	+	1.27051i	−0.692498	+	0.0512318i
$616$	−7.42496	+	24.8723i	−0.299160	+	1.00213i
$617$	13.6786	−	5.66585i	0.550678	−	0.228098i	−0.0899544	−	0.995946i	$-0.528672\pi$
$617$	13.6786	−	5.66585i	0.550678	−	0.228098i	0.640633	+	0.767847i	$0.278672\pi$
$618$	−5.37742	+	34.6983i	−0.216312	+	1.39577i
$619$	8.27344	−	41.5934i	0.332537	−	1.67178i	−0.346790	−	0.937943i	$-0.612728\pi$
$619$	8.27344	−	41.5934i	0.332537	−	1.67178i	0.679327	−	0.733836i	$-0.262272\pi$
$620$	3.52789	+	0.934156i	0.141683	+	0.0375166i
$621$	−12.1974	−	11.5978i	−0.489463	−	0.465404i
$622$	−33.1003	−	1.03475i	−1.32720	−	0.0414895i
$623$	−38.1860	+	38.1860i	−1.52989	+	1.52989i
$624$	1.60641	−	31.3745i	0.0643077	−	1.25598i
$625$	−8.87008	−	8.87008i	−0.354803	−	0.354803i
$626$	−5.78140	−	6.15453i	−0.231071	−	0.245984i
$627$	−3.37206	+	27.3885i	−0.134667	+	1.09379i
$628$	1.68072	−	2.20378i	0.0670679	−	0.0879402i
$629$	−13.0234	−	2.59051i	−0.519276	−	0.103290i
$630$	−12.7805	−	6.53400i	−0.509186	−	0.260321i
$631$	1.79610	+	4.33617i	0.0715017	+	0.172620i	0.955590	−	0.294700i	$-0.0952196\pi$
$631$	1.79610	+	4.33617i	0.0715017	+	0.172620i	−0.884088	+	0.467320i	$0.845220\pi$
$632$	−1.16734	−	0.617334i	−0.0464343	−	0.0245562i
$633$	−40.9335	+	3.02831i	−1.62696	+	0.120365i
$634$	4.48570	−	19.3672i	0.178150	−	0.769168i
$635$	6.97076	+	10.4325i	0.276626	+	0.414000i
$636$	−9.39510	+	23.4301i	−0.372540	+	0.929066i
$637$	−26.5662	+	5.28434i	−1.05259	+	0.209373i
$638$	3.14369	−	6.96556i	0.124460	−	0.275769i
$639$	−10.1727	+	13.7287i	−0.402428	+	0.543100i
$640$	−7.68086	+	7.34415i	−0.303613	+	0.290303i
$641$			26.3412i			1.04041i	0.854040	+	0.520207i	$0.174145\pi$
$641$			26.3412i			1.04041i	−0.854040	+	0.520207i	$0.825855\pi$
$642$	−0.468933	−	11.0022i	−0.0185073	−	0.434222i
$643$	3.01878	+	15.1764i	0.119049	+	0.598500i	0.993542	+	0.113463i	$0.0361942\pi$
$643$	3.01878	+	15.1764i	0.119049	+	0.598500i	−0.874493	+	0.485038i	$0.838806\pi$
$644$	15.4368	+	17.4980i	0.608296	+	0.689517i
$645$	1.74969	−	3.09019i	0.0688940	−	0.121676i
$646$	63.2683	+	14.6538i	2.48926	+	0.576546i
$647$	−16.9532	−	7.02227i	−0.666501	−	0.276074i	0.0236703	−	0.999720i	$-0.492465\pi$
$647$	−16.9532	−	7.02227i	−0.666501	−	0.276074i	−0.690171	+	0.723646i	$0.742465\pi$
$648$	−4.83417	+	24.9926i	−0.189904	+	0.981803i
$649$	−5.49704	+	2.27695i	−0.215778	+	0.0893781i
$650$	−4.33975	−	26.0465i	−0.170219	−	1.02163i
$651$	−11.6798	+	3.23495i	−0.457768	+	0.126788i
$652$	1.86242	+	1.42038i	0.0729379	+	0.0556263i
$653$	−34.4279	−	23.0040i	−1.34727	−	0.900216i	−0.347963	−	0.937508i	$-0.613127\pi$
$653$	−34.4279	−	23.0040i	−1.34727	−	0.900216i	−0.999304	+	0.0372925i	$0.988127\pi$
$654$	0.126036	−	0.345168i	0.00492841	−	0.0134971i
$655$	1.95978	−	1.95978i	0.0765750	−	0.0765750i
$656$	−11.1990	−	40.8306i	−0.437247	−	1.59417i
$657$	0.209647	+	1.40914i	0.00817912	+	0.0549758i
$658$	−0.760683	+	24.3333i	−0.0296545	+	0.948611i
$659$	−23.5696	−	15.7487i	−0.918141	−	0.613482i	0.00414472	−	0.999991i	$-0.498681\pi$
$659$	−23.5696	−	15.7487i	−0.918141	−	0.613482i	−0.922285	+	0.386509i	$0.873681\pi$
$660$	−8.11218	+	1.70951i	−0.315766	+	0.0665426i
$661$	−20.2429	−	4.02657i	−0.787359	−	0.156615i	−0.214995	−	0.976615i	$-0.568974\pi$
$661$	−20.2429	−	4.02657i	−0.787359	−	0.156615i	−0.572364	+	0.820000i	$0.693974\pi$
$662$	8.01078	+	5.72259i	0.311348	+	0.222415i
$663$	−43.6821	−	37.6640i	−1.69647	−	1.46275i
$664$	1.92495	−	6.44823i	0.0747025	−	0.250240i
$665$	19.5454	+	8.09597i	0.757938	+	0.313948i
$666$	−0.612330	+	7.64673i	−0.0237273	+	0.296305i
$667$	−3.81670	−	5.71210i	−0.147783	−	0.221173i
$668$	39.3101	−	13.4734i	1.52095	−	0.521301i
$669$	−10.8136	−	13.8501i	−0.418076	−	0.535477i
$670$	−1.09901	−	2.90698i	−0.0424583	−	0.112306i
$671$			26.4963i			1.02288i
$672$	9.71071	−	33.9288i	0.374599	−	1.30883i
$673$			13.7331i			0.529372i	0.964335	+	0.264686i	$0.0852683\pi$
$673$			13.7331i			0.529372i	−0.964335	+	0.264686i	$0.914732\pi$
$674$	−14.5091	+	5.48528i	−0.558871	+	0.211285i
$675$	0.538930	+	21.3895i	0.0207434	+	0.823282i
$676$	6.64846	−	13.5825i	0.255710	−	0.522405i
$677$	−22.3611	−	33.4658i	−0.859409	−	1.28620i	−0.956740	−	0.290944i	$-0.906031\pi$
$677$	−22.3611	−	33.4658i	−0.859409	−	1.28620i	0.0973314	−	0.995252i	$-0.468969\pi$
$678$	15.7057	+	9.55276i	0.603174	+	0.366872i
$679$	29.4585	+	12.2021i	1.13051	+	0.468274i
$680$	1.99822	+	19.4080i	0.0766283	+	0.744263i
$681$	29.6204	−	34.3533i	1.13506	−	1.31642i
$682$	−4.06888	+	5.69583i	−0.155805	+	0.218104i
$683$	−8.29276	−	1.64953i	−0.317314	−	0.0631176i	0.0338639	−	0.999426i	$-0.489219\pi$
$683$	−8.29276	−	1.64953i	−0.317314	−	0.0631176i	−0.351178	+	0.936309i	$0.614219\pi$
$684$	4.16191	−	37.2871i	0.159134	−	1.42571i
$685$	−3.26865	−	2.18404i	−0.124889	−	0.0834479i
$686$	5.22612	+	0.163374i	0.199534	+	0.00623763i
$687$	34.6714	+	11.4456i	1.32279	+	0.436676i
$688$	8.28407	+	2.75770i	0.315827	+	0.105136i
$689$	−23.3652	+	23.3652i	−0.890144	+	0.890144i
$690$	−2.55621	+	7.00053i	−0.0973132	+	0.266505i
$691$	27.0109	+	18.0481i	1.02754	+	0.686583i	0.950589	−	0.310452i	$-0.100480\pi$
$691$	27.0109	+	18.0481i	1.02754	+	0.686583i	0.0769543	+	0.997035i	$0.475480\pi$
$692$	−43.5797	+	5.86814i	−1.65665	+	0.223073i
$693$	20.3915	−	18.4978i	0.774608	−	0.702673i
$694$	33.3657	−	5.55923i	1.26654	−	0.211026i
$695$	−9.65448	+	3.99902i	−0.366215	+	0.151691i
$696$	−4.16645	+	9.51828i	−0.157929	+	0.360789i
$697$	−71.8148	−	29.7467i	−2.72018	−	1.12673i
$698$	4.01251	−	17.3241i	0.151876	−	0.655728i
$699$	3.04318	+	1.72307i	0.115104	+	0.0651726i
$700$	1.85278	−	29.6051i	0.0700285	−	1.11897i
$701$	−5.96811	−	30.0037i	−0.225412	−	1.13322i	−0.913262	−	0.407372i	$-0.866445\pi$
$701$	−5.96811	−	30.0037i	−0.225412	−	1.13322i	0.687850	−	0.725853i	$-0.258555\pi$
$702$	−18.6798	+	27.5929i	−0.705025	+	1.04143i
$703$		−	11.3064i		−	0.426428i
$704$	−7.96650	−	18.7617i	−0.300249	−	0.707109i
$705$	−6.94460	+	3.49749i	−0.261549	+	0.131723i
$706$	−21.7790	−	9.82925i	−0.819662	−	0.369929i
$707$	21.6584	−	4.30813i	0.814549	−	0.162024i
$708$	7.43819	−	3.18034i	0.279544	−	0.119524i
$709$	15.9100	+	23.8110i	0.597511	+	0.894239i	0.999773	−	0.0212855i	$-0.00677590\pi$
$709$	15.9100	+	23.8110i	0.597511	+	0.894239i	−0.402262	+	0.915525i	$0.631776\pi$
$710$	7.37079	+	1.70718i	0.276621	+	0.0640691i
$711$	0.720584	+	1.20105i	0.0270240	+	0.0450428i
$712$	3.96991	−	42.2205i	0.148779	−	1.58228i
$713$	2.40805	+	5.81355i	0.0901822	+	0.217719i
$714$	−38.2584	−	52.2915i	−1.43178	−	1.95696i
$715$	−10.6434	−	2.11711i	−0.398041	−	0.0791753i
$716$	19.1308	−	2.57602i	0.714952	−	0.0962705i
$717$	−9.82744	−	1.20995i	−0.367012	−	0.0451863i
$718$	−22.4066	+	21.0481i	−0.836206	+	0.785510i
$719$	−28.1723	−	28.1723i	−1.05065	−	1.05065i	−0.998647	−	0.0520031i	$-0.983439\pi$
$719$	−28.1723	−	28.1723i	−1.05065	−	1.05065i	−0.0520031	−	0.998647i	$-0.516561\pi$
$720$	11.0023	−	2.44923i	0.410030	−	0.0912775i
$721$	−36.5090	+	36.5090i	−1.35967	+	1.35967i
$722$	−0.888244	+	28.4138i	−0.0330570	+	1.05745i
$723$	0.916273	−	7.44215i	0.0340765	−	0.276777i
$724$	−35.6843	+	20.7429i	−1.32620	+	0.770902i
$725$	−1.70377	+	8.56545i	−0.0632766	+	0.318113i
$726$	−1.69123	+	10.9128i	−0.0627675	+	0.405012i
$727$	33.2387	−	13.7679i	1.23276	−	0.510624i	0.331312	−	0.943521i	$-0.392509\pi$
$727$	33.2387	−	13.7679i	1.23276	−	0.510624i	0.901443	+	0.432897i	$0.142509\pi$
$728$	29.1478	−	35.8387i	1.08029	−	1.32827i
$729$	18.1062	−	20.0291i	0.670600	−	0.741819i
$730$	0.535202	−	0.333905i	0.0198087	−	0.0123584i
$731$	13.3283	−	8.90565i	0.492963	−	0.329388i
$732$	−0.408694	−	36.0221i	−0.0151058	−	1.33142i
$733$	−0.576597	−	2.89875i	−0.0212971	−	0.107068i	0.968675	−	0.248333i	$-0.0798828\pi$
$733$	−0.576597	−	2.89875i	−0.0212971	−	0.107068i	−0.989972	+	0.141266i	$0.954883\pi$
$734$	6.83336	+	18.0749i	0.252224	+	0.667158i
$735$	−4.37138	−	8.67978i	−0.161241	−	0.320158i
$736$	−18.1001	−	2.85146i	−0.667179	−	0.105106i
$737$	5.96089			0.219572
$738$	−12.2486	+	43.2042i	−0.450878	+	1.59037i
$739$	15.9357	−	3.16981i	0.586205	−	0.116603i	0.106927	−	0.994267i	$-0.465899\pi$
$739$	15.9357	−	3.16981i	0.586205	−	0.116603i	0.479277	+	0.877664i	$0.340899\pi$
$740$	3.21323	−	1.10132i	0.118121	−	0.0404854i
$741$	24.1976	−	42.7363i	0.888923	−	1.56996i
$742$	−31.4932	+	19.6482i	−1.15615	+	0.721307i
$743$	2.52412	−	6.09376i	0.0926009	−	0.223558i	−0.870792	−	0.491651i	$-0.836393\pi$
$743$	2.52412	−	6.09376i	0.0926009	−	0.223558i	0.963393	+	0.268093i	$0.0863935\pi$
$744$	5.44384	−	7.80632i	0.199581	−	0.286194i
$745$	6.54751	+	15.8071i	0.239882	+	0.579127i
$746$	−25.0582	+	35.0778i	−0.917446	+	1.28429i
$747$	−5.28656	+	4.79562i	−0.193425	+	0.175462i
$748$	−36.1756	−	9.57899i	−1.32271	−	0.350243i
$749$	8.99634	−	13.4640i	0.328719	−	0.491963i
$750$	19.0218	−	8.84599i	0.694577	−	0.323010i
$751$	6.34929	+	6.34929i	0.231689	+	0.231689i	0.813397	−	0.581708i	$-0.197616\pi$
$751$	6.34929	+	6.34929i	0.231689	+	0.231689i	−0.581708	+	0.813397i	$0.697616\pi$
$752$	−11.7272	−	15.0980i	−0.427646	−	0.550567i
$753$	3.96429	−	12.0088i	0.144467	−	0.437624i
$754$	−9.91290	+	9.31191i	−0.361006	+	0.339120i
$755$	−0.504872	+	0.755594i	−0.0183742	+	0.0274989i
$756$	−27.4372	+	25.4625i	−0.997881	+	0.926064i
$757$	0.982414	−	4.93893i	0.0357065	−	0.179509i	−0.958817	−	0.284026i	$-0.908330\pi$
$757$	0.982414	−	4.93893i	0.0357065	−	0.179509i	0.994523	+	0.104517i	$0.0333298\pi$
$758$	1.83087	−	0.305052i	0.0665003	−	0.0110800i
$759$	−10.8259	−	9.33444i	−0.392956	−	0.338819i
$760$	−15.8761	+	4.89273i	−0.575885	+	0.177478i
$761$	−0.816920	+	1.97222i	−0.0296133	+	0.0714929i	−0.937994	−	0.346650i	$-0.887319\pi$
$761$	−0.816920	+	1.97222i	−0.0296133	+	0.0714929i	0.908381	+	0.418143i	$0.137319\pi$
$762$	31.7903	−	7.74410i	1.15164	−	0.280539i
$763$	0.449271	−	0.300193i	0.0162647	−	0.0108677i
$764$	29.8358	+	33.8196i	1.07942	+	1.22355i
$765$	8.83981	−	18.7111i	0.319604	−	0.676500i
$766$	12.4084	+	5.60015i	0.448335	+	0.202342i
$767$	10.5891			0.382351
$768$	11.1200	+	25.3840i	0.401257	+	0.915965i
$769$	16.3820			0.590749			0.295374	−	0.955382i	$-0.404556\pi$
$769$	16.3820			0.590749			0.295374	+	0.955382i	$0.404556\pi$
$770$	−11.1114	−	5.01479i	−0.400428	−	0.180720i
$771$	13.0480	−	10.1873i	0.469914	−	0.366887i
$772$	−26.7484	−	30.3199i	−0.962695	−	1.09124i
$773$	−1.40232	+	0.937003i	−0.0504381	+	0.0337016i	−0.580534	−	0.814236i	$-0.697156\pi$
$773$	−1.40232	+	0.937003i	−0.0504381	+	0.0337016i	0.530096	+	0.847938i	$0.322156\pi$
$774$	−6.00468	−	7.05007i	−0.215834	−	0.253409i
$775$	3.06121	−	7.39041i	0.109962	−	0.265471i
$776$	−23.9281	+	7.37423i	−0.858970	+	0.264720i
$777$	−7.36608	+	8.54306i	−0.264257	+	0.306481i
$778$	−15.0895	+	2.51415i	−0.540986	+	0.0901365i
$779$	12.9125	−	64.9153i	0.462637	−	2.32583i
$780$	14.5025	+	2.71407i	0.519274	+	0.0971792i
$781$	−8.06232	+	12.0661i	−0.288493	+	0.431760i
$782$	−24.5193	+	23.0328i	−0.876808	+	0.823650i
$783$	9.00609	−	6.35153i	0.321852	−	0.226985i
$784$	18.8704	−	14.6573i	0.673942	−	0.523476i
$785$	0.920407	+	0.920407i	0.0328507	+	0.0328507i
$786$	−3.04772	−	6.55360i	−0.108709	−	0.233759i
$787$	6.41083	−	9.59448i	0.228521	−	0.342006i	−0.699434	−	0.714697i	$-0.746565\pi$
$787$	6.41083	−	9.59448i	0.228521	−	0.342006i	0.927956	+	0.372690i	$0.121565\pi$
$788$	−25.5587	−	6.76775i	−0.910493	−	0.241091i
$789$	−7.89383	−	28.5007i	−0.281028	−	1.01465i
$790$	0.360499	−	0.504646i	0.0128260	−	0.0179545i
$791$	10.3443	+	24.9735i	0.367802	+	0.887954i
$792$	−3.06840	+	21.4006i	−0.109031	+	0.760438i
$793$	18.0456	−	43.5658i	0.640817	−	1.54707i
$794$	−2.87544	+	1.79395i	−0.102046	+	0.0636649i
$795$	−10.3167	−	5.84140i	−0.365896	−	0.207173i
$796$	−51.4786	+	17.6441i	−1.82461	+	0.625378i
$797$	32.1647	−	6.39796i	1.13933	−	0.226627i	0.410857	−	0.911700i	$-0.365229\pi$
$797$	32.1647	−	6.39796i	1.13933	−	0.226627i	0.728475	+	0.685072i	$0.240229\pi$
$798$	37.3143	−	40.6367i	1.32091	−	1.43852i
$799$	−35.0987			−1.24170
$800$	13.7070	+	18.8334i	0.484617	+	0.665861i
$801$	−26.7785	+	36.1391i	−0.946170	+	1.27691i
$802$	8.79949	+	23.2755i	0.310721	+	0.821888i
$803$	0.236048	+	1.18670i	0.00832997	+	0.0418776i
$804$	−8.10392	+	0.0919443i	−0.285803	+	0.00324262i
$805$	−9.11190	+	6.08838i	−0.321152	+	0.214587i
$806$	10.5693	−	6.59407i	0.372289	−	0.232266i
$807$	2.14629	+	29.0113i	0.0755532	+	1.02125i
$808$	−10.9415	+	13.4531i	−0.384920	+	0.473279i
$809$	7.98978	−	3.30947i	0.280906	−	0.116355i	−0.237783	−	0.971318i	$-0.576421\pi$
$809$	7.98978	−	3.30947i	0.280906	−	0.116355i	0.518688	+	0.854963i	$0.326421\pi$
$810$	−11.3298	−	3.81645i	−0.398089	−	0.134096i
$811$	−3.96977	+	19.9574i	−0.139397	+	0.700798i	0.846358	+	0.532614i	$0.178790\pi$
$811$	−3.96977	+	19.9574i	−0.139397	+	0.700798i	−0.985756	+	0.168184i	$0.946210\pi$
$812$	−13.2089	+	7.67819i	−0.463543	+	0.269452i
$813$	−17.3167	−	2.13202i	−0.607323	−	0.0747732i
$814$	−0.203569	+	6.51192i	−0.00713508	+	0.228243i
$815$	−0.777839	+	0.777839i	−0.0272465	+	0.0272465i
$816$	49.3290	+	12.4648i	1.72686	+	0.436355i
$817$	9.65131	+	9.65131i	0.337657	+	0.337657i
$818$	−25.7749	+	24.2122i	−0.901197	+	0.846560i
$819$	−46.1263	+	16.5267i	−1.61178	+	0.577489i
$820$	19.7065	−	2.65353i	0.688179	−	0.0926654i
$821$	32.6906	+	6.50256i	1.14091	+	0.226941i	0.729151	−	0.684353i	$-0.239915\pi$
$821$	32.6906	+	6.50256i	1.14091	+	0.226941i	0.411758	+	0.911293i	$0.364915\pi$
$822$	−8.27367	+	6.05332i	−0.288577	+	0.211134i
$823$	−2.24844	−	5.42820i	−0.0783755	−	0.189215i	0.879835	−	0.475279i	$-0.157653\pi$
$823$	−2.24844	−	5.42820i	−0.0783755	−	0.189215i	−0.958211	+	0.286064i	$0.907653\pi$
$824$	3.79557	−	40.3664i	0.132225	−	1.40623i
$825$	1.34070	+	18.1222i	0.0466773	+	0.630933i
$826$	11.5886	+	2.68408i	0.403220	+	0.0933912i
$827$	−14.7088	−	22.0133i	−0.511476	−	0.765478i	0.482403	−	0.875949i	$-0.339764\pi$
$827$	−14.7088	−	22.0133i	−0.511476	−	0.765478i	−0.993879	+	0.110471i	$0.964764\pi$
$828$	14.8620	+	12.5233i	0.516490	+	0.435216i
$829$	25.1406	−	5.00078i	0.873170	−	0.173684i	0.261889	−	0.965098i	$-0.415654\pi$
$829$	25.1406	−	5.00078i	0.873170	−	0.173684i	0.611281	+	0.791414i	$0.290654\pi$
$830$	2.88067	+	1.30010i	0.0999897	+	0.0451272i
$831$	−3.10109	−	6.15751i	−0.107576	−	0.213601i
$832$	0.320847	+	36.2742i	0.0111234	+	1.25758i
$833$		−	43.8685i		−	1.51995i
$834$	1.16044	+	27.2265i	0.0401827	+	0.942776i
$835$	3.80744	+	19.1413i	0.131762	+	0.662412i
$836$	1.99027	−	31.8021i	0.0688351	−	1.09990i
$837$	−9.22570	+	4.09662i	−0.318887	+	0.141600i
$838$	0.936632	−	4.04395i	0.0323554	−	0.139696i
$839$	15.7155	+	6.50956i	0.542558	+	0.224735i	0.637093	−	0.770787i	$-0.280137\pi$
$839$	15.7155	+	6.50956i	0.542558	+	0.224735i	−0.0945354	+	0.995522i	$0.530137\pi$
$840$	15.1835	+	6.64629i	0.523880	+	0.229319i
$841$	−22.6367	+	9.37643i	−0.780576	+	0.323325i
$842$	25.1554	−	4.19128i	0.866913	−	0.144441i
$843$	−5.79676	−	20.9293i	−0.199651	−	0.720842i
$844$	46.9712	−	6.32482i	1.61682	−	0.217709i
$845$	5.90529	+	3.94579i	0.203148	+	0.135739i
$846$	2.35579	+	20.1398i	0.0809936	+	0.692420i
$847$	−11.4823	+	11.4823i	−0.394536	+	0.394536i
$848$	9.20666	−	27.6566i	0.316158	−	0.949733i
$849$	−4.00294	+	12.1258i	−0.137380	+	0.416158i
$850$	42.7446	+	1.33624i	1.46613	+	0.0458326i
$851$	4.86971	+	3.25384i	0.166932	+	0.111540i
$852$	10.7747	−	16.5284i	0.369136	−	0.566255i
$853$	2.12106	+	0.421905i	0.0726237	+	0.0144458i	0.231268	−	0.972890i	$-0.425712\pi$
$853$	2.12106	+	0.421905i	0.0726237	+	0.0144458i	−0.158645	+	0.987336i	$0.550712\pi$
$854$	30.7918	−	43.1040i	1.05367	−	1.47499i
$855$	17.0944	+	4.27409i	0.584616	+	0.146171i
$856$	1.30232	+	12.6489i	0.0445122	+	0.432331i
$857$	−23.4049	−	9.69464i	−0.799497	−	0.331162i	−0.0547419	−	0.998501i	$-0.517434\pi$
$857$	−23.4049	−	9.69464i	−0.799497	−	0.331162i	−0.744755	+	0.667338i	$0.767434\pi$
$858$	−14.7061	+	24.1783i	−0.502058	+	0.825434i
$859$	17.6737	+	26.4506i	0.603020	+	0.902483i	0.999881	−	0.0153956i	$-0.00490076\pi$
$859$	17.6737	+	26.4506i	0.603020	+	0.902483i	−0.396862	+	0.917878i	$0.629901\pi$
$860$	−1.80276	+	3.68297i	−0.0614737	+	0.125588i
$861$	−52.0487	+	40.6373i	−1.77382	+	1.38492i
$862$	12.5388	−	4.74040i	0.427075	−	0.161459i
$863$			11.8068i			0.401910i	0.979600	+	0.200955i	$0.0644045\pi$
$863$			11.8068i			0.401910i	−0.979600	+	0.200955i	$0.935596\pi$
$864$	3.84144	−	29.1418i	0.130688	−	0.991423i
$865$		−	20.6519i		−	0.702186i
$866$	−17.7106	−	46.8463i	−0.601831	−	1.59190i
$867$	50.4200	−	39.3657i	1.71235	−	1.33693i
$868$	13.2384	−	4.53741i	0.449342	−	0.154010i
$869$	0.660874	+	0.989068i	0.0224186	+	0.0335518i
$870$	−4.16914	−	2.53582i	−0.141347	−	0.0859723i
$871$	−9.80104	−	4.05972i	−0.332096	−	0.137559i
$872$	−0.121372	+	0.406575i	−0.00411019	+	0.0137684i
$873$	25.7644	+	6.44184i	0.871993	+	0.218023i
$874$	−23.3081	−	16.6504i	−0.788410	−	0.563209i
$875$	30.2547	+	6.01804i	1.02280	+	0.203447i
$876$	−0.339216	−	1.60969i	−0.0114610	−	0.0543864i
$877$	8.44144	+	5.64039i	0.285047	+	0.190462i	0.689871	−	0.723932i	$-0.257667\pi$
$877$	8.44144	+	5.64039i	0.285047	+	0.190462i	−0.404824	+	0.914395i	$0.632667\pi$
$878$	−1.35101	+	43.2171i	−0.0455943	+	1.45851i
$879$	0.113737	−	0.344537i	0.00383626	−	0.0116209i
$880$	9.23192	−	2.53212i	0.311208	−	0.0853578i
$881$	−3.94922	+	3.94922i	−0.133053	+	0.133053i	−0.770497	−	0.637444i	$-0.779992\pi$
$881$	−3.94922	+	3.94922i	−0.133053	+	0.133053i	0.637444	+	0.770497i	$0.279992\pi$
$882$	−25.1719	+	2.94440i	−0.847582	+	0.0991432i
$883$	−20.9460	−	13.9957i	−0.704889	−	0.470992i	0.150745	−	0.988573i	$-0.451833\pi$
$883$	−20.9460	−	13.9957i	−0.704889	−	0.470992i	−0.855634	+	0.517581i	$0.826833\pi$
$884$	52.9569	+	40.3877i	1.78113	+	1.35839i
$885$	1.01410	+	3.66142i	0.0340887	+	0.123077i
$886$	3.99665	+	23.9873i	0.134270	+	0.805869i
$887$	−45.7663	+	18.9570i	−1.53668	+	0.636515i	−0.980847	−	0.194778i	$-0.937601\pi$
$887$	−45.7663	+	18.9570i	−1.53668	+	0.636515i	−0.555835	+	0.831292i	$0.687601\pi$
$888$	0.176311	−	8.85619i	0.00591662	−	0.297194i
$889$	44.4510	+	18.4122i	1.49084	+	0.617526i
$890$	19.4027	+	4.49392i	0.650379	+	0.150637i
$891$	14.5319	−	17.7384i	0.486837	−	0.594258i
$892$	13.4230	+	15.2152i	0.449434	+	0.509443i
$893$	−5.83044	−	29.3116i	−0.195108	−	0.980875i
$894$	44.5774	−	1.89996i	1.49089	−	0.0635443i
$895$			9.06587i			0.303039i
$896$	−8.84349	+	39.7794i	−0.295440	+	1.32894i
$897$	11.4429	+	22.7210i	0.382069	+	0.758633i
$898$	−14.2581	+	31.5922i	−0.475800	+	1.05424i
$899$	−4.04101	+	0.803807i	−0.134775	+	0.0268085i
$900$	−2.10223	−	24.6167i	−0.0700744	−	0.820557i
$901$	−29.7318	−	44.4968i	−0.990511	−	1.48240i
$902$	−8.60572	+	37.1555i	−0.286539	+	1.23714i
$903$	−1.00469	−	13.5803i	−0.0334339	−	0.451924i
$904$	−18.7642	−	9.92324i	−0.624088	−	0.330042i
$905$	−7.41825	−	17.9093i	−0.246591	−	0.595324i
$906$	1.39931	+	1.91257i	0.0464889	+	0.0635410i
$907$	10.4504	+	2.07872i	0.347000	+	0.0690226i	0.365514	−	0.930806i	$-0.380893\pi$
$907$	10.4504	+	2.07872i	0.347000	+	0.0690226i	−0.0185134	+	0.999829i	$0.505893\pi$
$908$	−31.7625	+	41.6473i	−1.05408	+	1.38212i
$909$	17.3148	−	6.20378i	0.574297	−	0.205766i
$910$	14.8543	+	15.8130i	0.492415	+	0.524195i
$911$	−34.2934	−	34.2934i	−1.13619	−	1.13619i	−0.989127	−	0.147063i	$-0.953018\pi$
$911$	−34.2934	−	34.2934i	−1.13619	−	1.13619i	−0.147063	−	0.989127i	$-0.546982\pi$
$912$	−2.21527	+	43.2662i	−0.0733551	+	1.43269i
$913$	−4.28643	+	4.28643i	−0.141860	+	0.141860i
$914$	−12.8971	−	0.403175i	−0.426597	−	0.0133358i
$915$	16.7921	+	2.06743i	0.555128	+	0.0683470i
$916$	−40.7555	−	10.7917i	−1.34660	−	0.356568i
$917$	2.07340	−	10.4237i	0.0684698	−	0.344221i
$918$	−37.9276	−	38.3901i	−1.25180	−	1.26706i
$919$	−13.3183	+	5.51662i	−0.439330	+	0.181977i	−0.591374	−	0.806397i	$-0.701414\pi$
$919$	−13.3183	+	5.51662i	−0.439330	+	0.181977i	0.152044	+	0.988374i	$0.451414\pi$
$920$	2.46162	−	8.24596i	0.0811571	−	0.271861i
$921$	1.95478	+	26.4226i	0.0644122	+	0.870656i
$922$	3.81532	+	6.11541i	0.125651	+	0.201400i
$923$	21.4740	−	14.3485i	0.706826	−	0.472286i
$924$	−22.2229	+	22.7329i	−0.731078	+	0.747858i
$925$	−1.45251	−	7.30227i	−0.0477583	−	0.240097i
$926$	39.3968	−	14.8942i	1.29466	−	0.489455i
$927$	−25.6025	+	34.5521i	−0.840895	+	1.13484i
$928$	4.14328	−	11.2595i	0.136010	−	0.369610i
$929$	−19.4592			−0.638436			−0.319218	−	0.947681i	$-0.603420\pi$
$929$	−19.4592			−0.638436			−0.319218	+	0.947681i	$0.603420\pi$
$930$	3.29226	+	3.02308i	0.107957	+	0.0991308i
$931$	36.6354	−	7.28724i	1.20068	−	0.238830i
$932$	−3.62695	−	1.77534i	−0.118805	−	0.0581531i
$933$	−35.2943	−	19.9839i	−1.15548	−	0.654245i
$934$	−22.1000	−	35.4231i	−0.723134	−	1.15908i
$935$	6.72580	−	16.2375i	0.219957	−	0.531024i
$936$	19.6202	−	33.0976i	0.641307	−	1.08183i
$937$	−10.6757	−	25.7735i	−0.348761	−	0.841983i	−0.996767	−	0.0803478i	$-0.974397\pi$
$937$	−10.6757	−	25.7735i	−0.348761	−	0.841983i	0.648006	−	0.761635i	$-0.275603\pi$
$938$	−9.69713	−	6.92725i	−0.316623	−	0.226183i
$939$	−2.76046	−	9.96665i	−0.0900841	−	0.325249i
$940$	7.76233	−	4.51215i	0.253179	−	0.147170i
$941$	−32.4945	+	48.6315i	−1.05929	+	1.58534i	−0.278619	+	0.960402i	$0.589877\pi$
$941$	−32.4945	+	48.6315i	−1.05929	+	1.58534i	−0.780672	+	0.624941i	$0.785123\pi$
$942$	3.07788	−	1.43136i	0.100283	−	0.0466361i
$943$	24.2433	+	24.2433i	0.789470	+	0.789470i
$944$	−8.35322	+	4.18076i	−0.271874	+	0.136072i
$945$	−10.1319	−	14.3665i	−0.329591	−	0.467341i
$946$	−5.38491	−	5.73245i	−0.175078	−	0.186378i
$947$	−8.69946	+	13.0197i	−0.282695	+	0.423082i	−0.945457	−	0.325748i	$-0.894384\pi$
$947$	−8.69946	+	13.0197i	−0.282695	+	0.423082i	0.662762	+	0.748830i	$0.269384\pi$
$948$	−0.913725	−	1.33446i	−0.0296764	−	0.0433412i
$949$	0.420094	−	2.11196i	0.0136368	−	0.0685570i
$950$	5.98462	+	35.9188i	0.194167	+	1.16536i
$951$	15.8993	−	18.4398i	0.515570	−	0.597950i
$952$	47.7182	+	57.6233i	1.54656	+	1.86758i
$953$	−1.68056	+	4.05724i	−0.0544388	+	0.131427i	−0.948759	−	0.316001i	$-0.897660\pi$
$953$	−1.68056	+	4.05724i	−0.0544388	+	0.131427i	0.894320	+	0.447428i	$0.147660\pi$
$954$	−23.5369	+	20.0468i	−0.762035	+	0.649040i
$955$	−17.6112	+	11.7674i	−0.569885	+	0.380785i
$956$	11.4111	+	0.714142i	0.369061	+	0.0230970i
$957$	7.37739	−	5.75994i	0.238477	−	0.186192i
$958$	11.8324	−	26.2173i	0.382287	−	0.847044i
$959$	−15.0746			−0.486786
$960$	−12.5119	+	3.58486i	−0.403819	+	0.115701i
$961$	−27.2261			−0.878261
$962$	4.76972	−	10.5684i	0.153782	−	0.340739i
$963$	5.76123	−	12.1947i	0.185653	−	0.392969i
$964$	−0.540808	+	8.64144i	−0.0174182	+	0.278322i
$965$	15.7888	−	10.5497i	0.508259	−	0.339608i
$966$	6.76383	+	27.7662i	0.217623	+	0.893363i
$967$	−5.40721	+	13.0542i	−0.173884	+	0.419793i	−0.986662	−	0.162780i	$-0.947954\pi$
$967$	−5.40721	+	13.0542i	−0.173884	+	0.419793i	0.812778	+	0.582573i	$0.197954\pi$
$968$	1.19373	−	12.6955i	0.0383679	−	0.408047i
$969$	60.2386	+	51.9396i	1.93514	+	1.66854i
$970$	−1.93265	−	11.5995i	−0.0620538	−	0.372437i
$971$	−6.98383	+	35.1101i	−0.224122	+	1.12674i	0.690781	+	0.723064i	$0.257267\pi$
$971$	−6.98383	+	35.1101i	−0.224122	+	1.12674i	−0.914903	+	0.403673i	$0.867733\pi$
$972$	−19.4827	+	24.3397i	−0.624909	+	0.780697i
$973$	−22.2627	+	33.3185i	−0.713709	+	1.06814i
$974$	1.12544	+	1.19808i	0.0360615	+	0.0383889i
$975$	10.1379	−	30.7100i	0.324672	−	0.983508i
$976$	2.96531	+	41.4916i	0.0949172	+	1.32811i
$977$	−8.83268	−	8.83268i	−0.282583	−	0.282583i	0.551556	−	0.834138i	$-0.314034\pi$
$977$	−8.83268	−	8.83268i	−0.282583	−	0.282583i	−0.834138	+	0.551556i	$0.814034\pi$
$978$	1.20964	+	2.60113i	0.0386801	+	0.0831749i
$979$	−21.2230	+	31.7625i	−0.678291	+	1.01513i
$980$	5.63956	+	9.70183i	0.180149	+	0.309913i
$981$	0.333330	−	0.302374i	0.0106424	−	0.00965407i
$982$	−31.6191	−	22.5875i	−1.00901	−	0.720795i
$983$	2.94357	+	7.10640i	0.0938852	+	0.226659i	0.963845	−	0.266464i	$-0.0858553\pi$
$983$	2.94357	+	7.10640i	0.0938852	+	0.226659i	−0.869960	+	0.493123i	$0.835855\pi$
$984$	11.1265	−	50.6462i	0.354700	−	1.61454i
$985$	4.75191	−	11.4721i	0.151408	−	0.365532i
$986$	−11.6593	−	18.6883i	−0.371309	−	0.595155i
$987$	−14.6910	+	25.9462i	−0.467619	+	0.825878i
$988$	−24.9316	+	50.9343i	−0.793180	+	1.62044i
$989$	−6.93440	+	1.37934i	−0.220501	+	0.0438604i
$990$	−9.76858	−	2.76945i	−0.310466	−	0.0880188i
$991$	−3.20201			−0.101715			−0.0508575	−	0.998706i	$-0.516195\pi$
$991$	−3.20201			−0.101715			−0.0508575	+	0.998706i	$0.516195\pi$
$992$	−5.73417	+	9.37468i	−0.182060	+	0.297647i
$993$	5.42347	+	10.7688i	0.172109	+	0.341737i
$994$	27.1380	−	10.2597i	0.860764	−	0.325418i
$995$	−4.98604	−	25.0665i	−0.158068	−	0.794661i
$996$	5.76135	−	5.89359i	0.182555	−	0.186745i
$997$	34.8391	−	23.2787i	1.10337	−	0.737245i	0.136020	−	0.990706i	$-0.456569\pi$
$997$	34.8391	−	23.2787i	1.10337	−	0.737245i	0.967346	+	0.253461i	$0.0815690\pi$
$998$	−25.4422	−	40.7802i	−0.805360	−	1.29088i
$999$	−5.02131	+	7.94088i	−0.158867	+	0.251238i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	192.2.s.a.11.5	✓	240
3.2	odd	2	inner	192.2.s.a.11.26	yes	240
4.3	odd	2		768.2.s.a.719.21		240
12.11	even	2		768.2.s.a.719.13		240
64.29	even	16		768.2.s.a.47.13		240
64.35	odd	16	inner	192.2.s.a.35.26	yes	240
192.29	odd	16		768.2.s.a.47.21		240
192.35	even	16	inner	192.2.s.a.35.5	yes	240

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
192.2.s.a.11.5	✓	240	1.1	even	1	trivial
192.2.s.a.11.26	yes	240	3.2	odd	2	inner
192.2.s.a.35.5	yes	240	192.35	even	16	inner
192.2.s.a.35.26	yes	240	64.35	odd	16	inner
768.2.s.a.47.13		240	64.29	even	16
768.2.s.a.47.21		240	192.29	odd	16
768.2.s.a.719.13		240	12.11	even	2
768.2.s.a.719.21		240	4.3	odd	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)

\(f(q)\)	\(=\)	\(q+(-1.28901 - 0.581756i) q^{2} +(-1.06591 - 1.36523i) q^{3} +(1.32312 + 1.49979i) q^{4} +(-0.780999 + 0.521847i) q^{5} +(0.579741 + 2.37990i) q^{6} +(-1.37838 + 3.32770i) q^{7} +(-0.833011 - 2.70298i) q^{8} +(-0.727685 + 2.91041i) q^{9} +O(q^{10})\)	\(q+(-1.28901 - 0.581756i) q^{2} +(-1.06591 - 1.36523i) q^{3} +(1.32312 + 1.49979i) q^{4} +(-0.780999 + 0.521847i) q^{5} +(0.579741 + 2.37990i) q^{6} +(-1.37838 + 3.32770i) q^{7} +(-0.833011 - 2.70298i) q^{8} +(-0.727685 + 2.91041i) q^{9} +(1.31031 - 0.218317i) q^{10} +(-0.497066 + 2.49892i) q^{11} +(0.637224 - 3.40499i) q^{12} +(2.51920 - 3.77025i) q^{13} +(3.71266 - 3.48758i) q^{14} +(1.54491 + 0.510000i) q^{15} +(-0.498711 + 3.96879i) q^{16} +(5.19286 + 5.19286i) q^{17} +(2.63115 - 3.32822i) q^{18} +(-3.47404 + 5.19927i) q^{19} +(-1.81601 - 0.480865i) q^{20} +(6.01229 - 1.66522i) q^{21} +(2.09449 - 2.93198i) q^{22} +(-1.23957 - 2.99257i) q^{23} +(-2.80227 + 4.01837i) q^{24} +(-1.57578 + 3.80427i) q^{25} +(-5.44066 + 3.39435i) q^{26} +(4.74901 - 2.10877i) q^{27} +(-6.81460 + 2.33567i) q^{28} +(2.08015 - 0.413767i) q^{29} +(-1.69472 - 1.55616i) q^{30} -1.94266 q^{31} +(2.95171 - 4.82570i) q^{32} +(3.94142 - 1.98501i) q^{33} +(-3.67270 - 9.71466i) q^{34} +(-0.660037 - 3.31823i) q^{35} +(-5.32780 + 2.75944i) q^{36} +(-1.50340 + 1.00454i) q^{37} +(7.50281 - 4.68090i) q^{38} +(-7.83249 + 0.579457i) q^{39} +(2.06112 + 1.67632i) q^{40} +(-9.77894 + 4.05057i) q^{41} +(-8.71868 - 1.35119i) q^{42} +(0.425834 - 2.14081i) q^{43} +(-4.40552 + 2.56088i) q^{44} +(-0.950465 - 2.65276i) q^{45} +(-0.143131 + 4.57860i) q^{46} +(-3.37951 + 3.37951i) q^{47} +(5.94987 - 3.54951i) q^{48} +(-4.22392 - 4.22392i) q^{49} +(4.24437 - 3.98705i) q^{50} +(1.55432 - 12.6245i) q^{51} +(8.98778 - 1.21023i) q^{52} +(-7.14718 - 1.42166i) q^{53} +(-7.34833 - 0.0445323i) q^{54} +(-0.915845 - 2.21105i) q^{55} +(10.1429 + 0.953718i) q^{56} +(10.8012 - 0.799086i) q^{57} +(-2.92205 - 0.676786i) q^{58} +(1.29740 + 1.94170i) q^{59} +(1.27921 + 2.99182i) q^{60} +(10.1995 - 2.02881i) q^{61} +(2.50412 + 1.13015i) q^{62} +(-8.68194 - 6.43317i) q^{63} +(-6.61219 + 4.50322i) q^{64} +4.25920i q^{65} +(-6.23534 + 0.265761i) q^{66} +(-0.456424 - 2.29460i) q^{67} +(-0.917403 + 14.6590i) q^{68} +(-2.76428 + 4.88209i) q^{69} +(-1.07960 + 4.66123i) q^{70} +(5.26208 + 2.17963i) q^{71} +(8.47294 - 0.457484i) q^{72} +(0.438735 - 0.181730i) q^{73} +(2.52230 - 0.420254i) q^{74} +(6.87333 - 1.90370i) q^{75} +(-12.3944 + 1.66894i) q^{76} +(-7.63052 - 5.09855i) q^{77} +(10.4333 + 3.80967i) q^{78} +(0.330131 - 0.330131i) q^{79} +(-1.68161 - 3.35987i) q^{80} +(-7.94095 - 4.23572i) q^{81} +(14.9617 + 0.467716i) q^{82} +(1.97824 + 1.32182i) q^{83} +(10.4524 + 6.81386i) q^{84} +(-6.76550 - 1.34574i) q^{85} +(-1.79434 + 2.51181i) q^{86} +(-2.78213 - 2.39883i) q^{87} +(7.16859 - 0.738069i) q^{88} +(13.8518 + 5.73759i) q^{89} +(-0.318099 + 3.97239i) q^{90} +(9.07386 + 13.5800i) q^{91} +(2.84813 - 5.81861i) q^{92} +(2.07069 + 2.65217i) q^{93} +(6.32230 - 2.39019i) q^{94} -5.87354i q^{95} +(-9.73442 + 1.11399i) q^{96} -8.85251i q^{97} +(2.98740 + 7.90199i) q^{98} +(-6.91117 - 3.26509i) 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

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