LMFDB - Embedded newform 192.2.s.a.35.26

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			35.26
Character	$\chi$	$=$	192.35
Dual form			192.2.s.a.11.26

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(1.28901 - 0.581756i) q^{2} +(0.462320 + 1.66921i) q^{3} +(1.32312 - 1.49979i) q^{4} +(0.780999 + 0.521847i) q^{5} +(1.56701 + 1.88268i) q^{6} +(-1.37838 - 3.32770i) q^{7} +(0.833011 - 2.70298i) q^{8} +(-2.57252 + 1.54342i) q^{9} +O(q^{10})$	\(q+(1.28901 - 0.581756i) q^{2} +(0.462320 + 1.66921i) q^{3} +(1.32312 - 1.49979i) q^{4} +(0.780999 + 0.521847i) q^{5} +(1.56701 + 1.88268i) q^{6} +(-1.37838 - 3.32770i) q^{7} +(0.833011 - 2.70298i) q^{8} +(-2.57252 + 1.54342i) q^{9} +(1.31031 + 0.218317i) q^{10} +(0.497066 + 2.49892i) q^{11} +(3.11516 + 1.51518i) q^{12} +(2.51920 + 3.77025i) q^{13} +(-3.71266 - 3.48758i) q^{14} +(-0.510000 + 1.54491i) q^{15} +(-0.498711 - 3.96879i) q^{16} +(-5.19286 + 5.19286i) q^{17} +(-2.41812 + 3.48607i) q^{18} +(-3.47404 - 5.19927i) q^{19} +(1.81601 - 0.480865i) q^{20} +(4.91738 - 3.83927i) q^{21} +(2.09449 + 2.93198i) q^{22} +(1.23957 - 2.99257i) q^{23} +(4.89695 + 0.140828i) q^{24} +(-1.57578 - 3.80427i) q^{25} +(5.44066 + 3.39435i) q^{26} +(-3.76562 - 3.58052i) q^{27} +(-6.81460 - 2.33567i) q^{28} +(-2.08015 - 0.413767i) q^{29} +(0.241364 + 2.28811i) 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} +(-1.08896 + 5.90035i) q^{36} +(-1.50340 - 1.00454i) q^{37} +(-7.50281 - 4.68090i) q^{38} +(-5.12867 + 5.94814i) q^{39} +(2.06112 - 1.67632i) q^{40} +(9.77894 + 4.05057i) q^{41} +(4.10506 - 7.80959i) q^{42} +(0.425834 + 2.14081i) q^{43} +(4.40552 + 2.56088i) q^{44} +(-2.81456 - 0.137054i) q^{45} +(-0.143131 - 4.57860i) q^{46} +(3.37951 + 3.37951i) q^{47} +(6.39418 - 2.66730i) q^{48} +(-4.22392 + 4.22392i) q^{49} +(-4.24437 - 3.98705i) q^{50} +(-11.0687 - 6.26721i) q^{51} +(8.98778 + 1.21023i) q^{52} +(7.14718 - 1.42166i) q^{53} +(-6.93693 - 2.42468i) q^{54} +(-0.915845 + 2.21105i) q^{55} +(-10.1429 + 0.953718i) q^{56} +(7.07256 - 8.20264i) q^{57} +(-2.92205 + 0.676786i) q^{58} +(-1.29740 + 1.94170i) q^{59} +(1.64224 + 2.80899i) 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} +(-3.92576 + 4.85165i) q^{66} +(-0.456424 + 2.29460i) q^{67} +(0.917403 + 14.6590i) q^{68} +(5.56831 + 0.685566i) q^{69} +(-1.07960 - 4.66123i) q^{70} +(-5.26208 + 2.17963i) q^{71} +(2.02889 + 8.23915i) q^{72} +(0.438735 + 0.181730i) q^{73} +(-2.52230 - 0.420254i) q^{74} +(5.62162 - 4.38910i) q^{75} +(-12.3944 - 1.66894i) q^{76} +(7.63052 - 5.09855i) q^{77} +(-3.15056 + 10.6509i) q^{78} +(0.330131 + 0.330131i) q^{79} +(1.68161 - 3.35987i) q^{80} +(4.23572 - 7.94095i) q^{81} +(14.9617 - 0.467716i) q^{82} +(-1.97824 + 1.32182i) q^{83} +(0.748203 - 12.4548i) q^{84} +(-6.76550 + 1.34574i) q^{85} +(1.79434 + 2.51181i) q^{86} +(-0.271030 - 3.66349i) q^{87} +(7.16859 + 0.738069i) q^{88} +(-13.8518 + 5.73759i) q^{89} +(-3.70774 + 1.46072i) q^{90} +(9.07386 - 13.5800i) q^{91} +(-2.84813 - 5.81861i) q^{92} +(-0.898130 - 3.24270i) q^{93} +(6.32230 + 2.39019i) q^{94} -5.87354i q^{95} +(6.69047 - 7.15805i) q^{96} +8.85251i q^{97} +(-2.98740 + 7.90199i) q^{98} +(-5.13559 - 5.66134i) 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 $\left(\mathbb{Z}/192\mathbb{Z}\right)^\times$.

$n$	$65$	$127$	$133$
$\chi(n)$	$-1$	$-1$	$e\left(\frac{11}{16}\right)$

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
$3$	0.462320	+	1.66921i	0.266921	+	0.963719i
$3$	0.462320	+	1.66921i	0.266921	+	0.963719i
$4$	1.32312	−	1.49979i	0.661560	−	0.749893i
$5$	0.780999	+	0.521847i	0.349273	+	0.233377i	0.717814	−	0.696235i	$-0.245143\pi$
$5$	0.780999	+	0.521847i	0.349273	+	0.233377i	−0.368541	+	0.929611i	$0.620143\pi$
$6$	1.56701	+	1.88268i	0.639729	+	0.768600i
$7$	−1.37838	−	3.32770i	−0.520978	−	1.25775i	−0.937296	−	0.348534i	$-0.886680\pi$
$7$	−1.37838	−	3.32770i	−0.520978	−	1.25775i	0.416318	−	0.909219i	$-0.363320\pi$
$8$	0.833011	−	2.70298i	0.294514	−	0.955647i
$9$	−2.57252	+	1.54342i	−0.857507	+	0.514473i
$10$	1.31031	+	0.218317i	0.414355	+	0.0690379i
$11$	0.497066	+	2.49892i	0.149871	+	0.753453i	0.980483	+	0.196602i	$0.0629906\pi$
$11$	0.497066	+	2.49892i	0.149871	+	0.753453i	−0.830612	+	0.556851i	$0.812009\pi$
$12$	3.11516	+	1.51518i	0.899269	+	0.437395i
$13$	2.51920	+	3.77025i	0.698701	+	1.04568i	0.995864	+	0.0908537i	$0.0289596\pi$
$13$	2.51920	+	3.77025i	0.698701	+	1.04568i	−0.297163	+	0.954827i	$0.596040\pi$
$14$	−3.71266	−	3.48758i	−0.992251	−	0.932094i
$15$	−0.510000	+	1.54491i	−0.131681	+	0.398894i
$16$	−0.498711	−	3.96879i	−0.124678	−	0.992197i
$17$	−5.19286	+	5.19286i	−1.25945	+	1.25945i	−0.308100	+	0.951354i	$0.599693\pi$
$17$	−5.19286	+	5.19286i	−1.25945	+	1.25945i	−0.951354	+	0.308100i	$0.900307\pi$
$18$	−2.41812	+	3.48607i	−0.569957	+	0.821674i
$19$	−3.47404	−	5.19927i	−0.797000	−	1.19280i	−0.977855	−	0.209285i	$-0.932886\pi$
$19$	−3.47404	−	5.19927i	−0.797000	−	1.19280i	0.180854	−	0.983510i	$-0.442114\pi$
$20$	1.81601	−	0.480865i	0.406073	−	0.107525i
$21$	4.91738	−	3.83927i	1.07306	−	0.837797i
$22$	2.09449	+	2.93198i	0.446547	+	0.625099i
$23$	1.23957	−	2.99257i	0.258467	−	0.623995i	−0.740370	−	0.672199i	$-0.765350\pi$
$23$	1.23957	−	2.99257i	0.258467	−	0.623995i	0.998837	+	0.0482042i	$0.0153498\pi$
$24$	4.89695	+	0.140828i	0.999587	+	0.0287465i
$25$	−1.57578	−	3.80427i	−0.315156	−	0.760855i
$26$	5.44066	+	3.39435i	1.06700	+	0.665687i
$27$	−3.76562	−	3.58052i	−0.724693	−	0.689072i
$28$	−6.81460	−	2.33567i	−1.28784	−	0.441401i
$29$	−2.08015	−	0.413767i	−0.386273	−	0.0768345i	−0.00186630	−	0.999998i	$-0.500594\pi$
$29$	−2.08015	−	0.413767i	−0.386273	−	0.0768345i	−0.384407	+	0.923164i	$0.625594\pi$
$30$	0.241364	+	2.28811i	0.0440668	+	0.417749i
$31$	−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
$36$	−1.08896	+	5.90035i	−0.181493	+	0.983392i
$37$	−1.50340	−	1.00454i	−0.247157	−	0.165145i	0.425821	−	0.904807i	$-0.359985\pi$
$37$	−1.50340	−	1.00454i	−0.247157	−	0.165145i	−0.672978	+	0.739662i	$0.734985\pi$
$38$	−7.50281	−	4.68090i	−1.21712	−	0.759341i
$39$	−5.12867	+	5.94814i	−0.821244	+	0.952465i
$40$	2.06112	−	1.67632i	0.325892	−	0.265049i
$41$	9.77894	+	4.05057i	1.52721	+	0.632593i	0.979021	−	0.203759i	$-0.0653158\pi$
$41$	9.77894	+	4.05057i	1.52721	+	0.632593i	0.548193	+	0.836352i	$0.315316\pi$
$42$	4.10506	−	7.80959i	0.633424	−	1.20505i
$43$	0.425834	+	2.14081i	0.0649391	+	0.326471i	0.999576	−	0.0291338i	$-0.00927488\pi$
$43$	0.425834	+	2.14081i	0.0649391	+	0.326471i	−0.934636	+	0.355605i	$0.884275\pi$
$44$	4.40552	+	2.56088i	0.664158	+	0.386067i
$45$	−2.81456	−	0.137054i	−0.419570	−	0.0204308i
$46$	−0.143131	−	4.57860i	−0.0211036	−	0.675078i
$47$	3.37951	+	3.37951i	0.492953	+	0.492953i	0.909235	−	0.416283i	$-0.136667\pi$
$47$	3.37951	+	3.37951i	0.492953	+	0.492953i	−0.416283	+	0.909235i	$0.636667\pi$
$48$	6.39418	−	2.66730i	0.922920	−	0.384992i
$49$	−4.22392	+	4.22392i	−0.603417	+	0.603417i
$50$	−4.24437	−	3.98705i	−0.600244	−	0.563853i
$51$	−11.0687	−	6.26721i	−1.54993	−	0.877585i
$52$	8.98778	+	1.21023i	1.24638	+	0.167829i
$53$	7.14718	−	1.42166i	0.981741	−	0.195280i	0.321972	−	0.946749i	$-0.395654\pi$
$53$	7.14718	−	1.42166i	0.981741	−	0.195280i	0.659769	+	0.751469i	$0.270654\pi$
$54$	−6.93693	−	2.42468i	−0.943996	−	0.329957i
$55$	−0.915845	+	2.21105i	−0.123493	+	0.298137i
$56$	−10.1429	+	0.953718i	−1.35540	+	0.127446i
$57$	7.07256	−	8.20264i	0.936783	−	1.08647i
$58$	−2.92205	+	0.676786i	−0.383684	+	0.0888664i
$59$	−1.29740	+	1.94170i	−0.168907	+	0.252787i	−0.906260	−	0.422720i	$-0.861075\pi$
$59$	−1.29740	+	1.94170i	−0.168907	+	0.252787i	0.737353	+	0.675507i	$0.236075\pi$
$60$	1.64224	+	2.80899i	0.212013	+	0.362639i
$61$	10.1995	+	2.02881i	1.30592	+	0.259763i	0.798530	−	0.601955i	$-0.205611\pi$
$61$	10.1995	+	2.02881i	1.30592	+	0.259763i	0.507387	+	0.861718i	$0.330611\pi$
$62$	−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
$66$	−3.92576	+	4.85165i	−0.483227	+	0.597197i
$67$	−0.456424	+	2.29460i	−0.0557610	+	0.280330i	−0.998599	−	0.0529230i	$-0.983146\pi$
$67$	−0.456424	+	2.29460i	−0.0557610	+	0.280330i	0.942838	+	0.333253i	$0.108146\pi$
$68$	0.917403	+	14.6590i	0.111251	+	1.77766i
$69$	5.56831	+	0.685566i	0.670346	+	0.0825325i
$70$	−1.07960	−	4.66123i	−0.129037	−	0.557124i
$71$	−5.26208	+	2.17963i	−0.624495	+	0.258674i	−0.672412	−	0.740177i	$-0.734742\pi$
$71$	−5.26208	+	2.17963i	−0.624495	+	0.258674i	0.0479173	+	0.998851i	$0.484742\pi$
$72$	2.02889	+	8.23915i	0.239107	+	0.970993i
$73$	0.438735	+	0.181730i	0.0513500	+	0.0212699i	0.408211	−	0.912888i	$-0.366153\pi$
$73$	0.438735	+	0.181730i	0.0513500	+	0.0212699i	−0.356861	+	0.934158i	$0.616153\pi$
$74$	−2.52230	−	0.420254i	−0.293211	−	0.0488535i
$75$	5.62162	−	4.38910i	0.649128	−	0.506810i
$76$	−12.3944	−	1.66894i	−1.42173	−	0.191440i
$77$	7.63052	−	5.09855i	0.869578	−	0.581034i
$78$	−3.15056	+	10.6509i	−0.356730	+	1.20597i
$79$	0.330131	+	0.330131i	0.0371426	+	0.0371426i	0.725434	−	0.688292i	$-0.241639\pi$
$79$	0.330131	+	0.330131i	0.0371426	+	0.0371426i	−0.688292	+	0.725434i	$0.741639\pi$
$80$	1.68161	−	3.35987i	0.188009	−	0.375645i
$81$	4.23572	−	7.94095i	0.470636	−	0.882328i
$82$	14.9617	−	0.467716i	1.65224	−	0.0516505i
$83$	−1.97824	+	1.32182i	−0.217140	+	0.145088i	−0.659384	−	0.751807i	$-0.729183\pi$
$83$	−1.97824	+	1.32182i	−0.217140	+	0.145088i	0.442244	+	0.896895i	$0.354183\pi$
$84$	0.748203	−	12.4548i	0.0816356	−	1.35893i
$85$	−6.76550	+	1.34574i	−0.733821	+	0.145966i
$86$	1.79434	+	2.51181i	0.193489	+	0.270855i
$87$	−0.271030	−	3.66349i	−0.0290574	−	0.392767i
$88$	7.16859	+	0.738069i	0.764174	+	0.0786784i
$89$	−13.8518	+	5.73759i	−1.46828	+	0.608183i	−0.966467	−	0.256790i	$-0.917335\pi$
$89$	−13.8518	+	5.73759i	−1.46828	+	0.608183i	−0.501817	+	0.864974i	$0.667335\pi$
$90$	−3.70774	+	1.46072i	−0.390831	+	0.153974i
$91$	9.07386	−	13.5800i	0.951199	−	1.42357i
$92$	−2.84813	−	5.81861i	−0.296938	−	0.606632i
$93$	−0.898130	−	3.24270i	−0.0931317	−	0.336253i
$94$	6.32230	+	2.39019i	0.652095	+	0.246529i
$95$		−	5.87354i		−	0.602613i
$96$	6.69047	−	7.15805i	0.682843	−	0.730565i
$97$			8.85251i			0.898836i	0.893322	+	0.449418i	$0.148369\pi$
$97$			8.85251i			0.898836i	−0.893322	+	0.449418i	$0.851631\pi$
$98$	−2.98740	+	7.90199i	−0.301773	+	0.798222i
$99$	−5.13559	−	5.66134i	−0.516147	−	0.568987i
$100$	−7.79054	−	2.67017i	−0.779054	−	0.267017i
$101$	3.40614	−	5.09765i	0.338924	−	0.507235i	−0.622384	−	0.782712i	$-0.713836\pi$
$101$	3.40614	−	5.09765i	0.338924	−	0.507235i	0.961308	+	0.275477i	$0.0888357\pi$
$102$	−17.9138	−	1.63922i	−1.77373	−	0.162307i
$103$	13.2435	−	5.48562i	1.30492	−	0.540514i	0.381520	−	0.924361i	$-0.375401\pi$
$103$	13.2435	−	5.48562i	1.30492	−	0.540514i	0.923397	+	0.383847i	$0.125401\pi$
$104$	12.2894	−	3.66869i	1.20508	−	0.359745i
$105$	5.84397	−	0.432345i	0.570313	−	0.0421925i
$106$	8.38576	−	5.99046i	0.814497	−	0.581845i
$107$	4.40932	−	0.877069i	0.426265	−	0.0847894i	0.0227044	−	0.999742i	$-0.492772\pi$
$107$	4.40932	−	0.877069i	0.426265	−	0.0847894i	0.403561	+	0.914953i	$0.367772\pi$
$108$	−10.3524	+	0.910157i	−0.996157	+	0.0875799i
$109$	−0.124732	+	0.0833435i	−0.0119472	+	0.00798286i	−0.561529	−	0.827457i	$-0.689787\pi$
$109$	−0.124732	+	0.0833435i	−0.0119472	+	0.00798286i	0.549582	+	0.835440i	$0.314787\pi$
$110$	0.105752	+	3.38287i	0.0100830	+	0.322544i
$111$	0.981734	−	2.97390i	0.0931820	−	0.282270i
$112$	−12.5195	+	7.13006i	−1.18298	+	0.673727i
$113$	−5.30663	−	5.30663i	−0.499206	−	0.499206i	0.411985	−	0.911191i	$-0.364836\pi$
$113$	−5.30663	−	5.30663i	−0.499206	−	0.499206i	−0.911191	+	0.411985i	$0.864836\pi$
$114$	4.34470	−	14.6878i	0.406918	−	1.37564i
$115$	2.52976	−	1.69033i	0.235902	−	0.157624i
$116$	−3.37284	+	2.57231i	−0.313160	+	0.238833i
$117$	−12.2998	−	5.81087i	−1.13712	−	0.537215i
$118$	−0.542774	+	3.25765i	−0.0499664	+	0.299891i
$119$	24.4380	+	10.1226i	2.24023	+	0.927934i
$120$	3.75102	+	2.66545i	0.342420	+	0.243321i
$121$	4.16514	−	1.72526i	0.378649	−	0.156842i
$122$	14.3276	−	3.31847i	1.29716	−	0.300440i
$123$	−2.24025	+	18.1958i	−0.201997	+	1.64066i
$124$	−2.57037	+	2.91357i	−0.230826	+	0.261646i
$125$	1.67080	−	8.39970i	0.149441	−	0.751292i
$126$	14.9337	+	3.24167i	1.33040	+	0.288791i
$127$			13.3579i			1.18532i	0.805453	+	0.592660i	$0.201922\pi$
$127$			13.3579i			1.18532i	−0.805453	+	0.592660i	$0.798078\pi$
$128$	−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	$-0.396355\pi$
$131$	2.89396	+	0.575645i	0.252847	+	0.0502943i	−0.0670394	+	0.997750i	$0.521355\pi$
$132$	−2.23788	+	8.53769i	−0.194782	+	0.743110i
$133$	−12.5131	+	18.7272i	−1.08502	+	1.62385i
$134$	0.746560	+	3.22330i	0.0644929	+	0.278451i
$135$	−1.07246	−	4.76146i	−0.0923024	−	0.409801i
$136$	9.71048	+	18.3619i	0.832667	+	1.57452i
$137$	−1.60161	+	3.86664i	−0.136835	+	0.330349i	−0.977412	−	0.211343i	$-0.932216\pi$
$137$	−1.60161	+	3.86664i	−0.136835	+	0.330349i	0.840577	+	0.541692i	$0.182216\pi$
$138$	7.57647	−	2.35569i	0.644952	−	0.200530i
$139$	10.9115	−	2.17043i	0.925500	−	0.184093i	0.290739	−	0.956802i	$-0.406099\pi$
$139$	10.9115	−	2.17043i	0.925500	−	0.184093i	0.634761	+	0.772709i	$0.281099\pi$
$140$	−4.10333	−	5.38033i	−0.346794	−	0.454721i
$141$	−4.07870	+	7.20353i	−0.343488	+	0.606647i
$142$	−5.51489	+	5.87082i	−0.462800	+	0.492668i
$143$	−8.16936	+	8.16936i	−0.683156	+	0.683156i
$144$	7.40845	+	9.44007i	0.617370	+	0.786673i
$145$	−1.40867	−	1.40867i	−0.116983	−	0.116983i
$146$	0.671258	−	0.0209842i	0.0555537	−	0.00173666i
$147$	−9.00341	−	5.09781i	−0.742589	−	0.420460i
$148$	−3.49577	+	0.925650i	−0.287350	+	0.0760879i
$149$	−3.55360	−	17.8652i	−0.291122	−	1.46357i	−0.798577	−	0.601892i	$-0.794414\pi$
$149$	−3.55360	−	17.8652i	−0.291122	−	1.46357i	0.507455	−	0.861678i	$-0.330586\pi$
$150$	4.69296	−	8.92803i	0.383178	−	0.728971i
$151$	0.893827	+	0.370235i	0.0727386	+	0.0301293i	0.418756	−	0.908099i	$-0.362466\pi$
$151$	0.893827	+	0.370235i	0.0727386	+	0.0301293i	−0.346017	+	0.938228i	$0.612466\pi$
$152$	−16.9474	+	5.05921i	−1.37462	+	0.410356i
$153$	5.34399	−	21.3735i	0.432036	−	1.72795i
$154$	6.86974	−	11.0112i	0.553579	−	0.887308i
$155$	−1.51721	−	1.01377i	−0.121865	−	0.0814279i
$156$	2.13510	+	15.5620i	0.170945	+	1.24596i
$157$	−0.270350	+	1.35914i	−0.0215763	+	0.108471i	−0.990073	−	0.140556i	$-0.955111\pi$
$157$	−0.270350	+	1.35914i	−0.0215763	+	0.108471i	0.968496	+	0.249028i	$0.0801110\pi$
$158$	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
$162$	0.840212	−	12.7002i	0.0660133	−	0.997819i
$163$	1.14862	+	0.228474i	0.0899665	+	0.0178955i	0.239868	−	0.970805i	$-0.422896\pi$
$163$	1.14862	+	0.228474i	0.0899665	+	0.0178955i	−0.149902	+	0.988701i	$0.547896\pi$
$164$	19.0137	−	9.30693i	1.48472	−	0.726749i
$165$	−4.11411	−	0.506527i	−0.320283	−	0.0394330i
$166$	−1.78100	+	2.85470i	−0.138233	+	0.221567i
$167$	−7.95121	−	19.1959i	−0.615283	−	1.48542i	−0.857125	−	0.515109i	$-0.827752\pi$
$167$	−7.95121	−	19.1959i	−0.615283	−	1.48542i	0.241842	−	0.970316i	$-0.422248\pi$
$168$	−6.28123	−	16.4897i	−0.484607	−	1.27221i
$169$	−2.89355	+	6.98564i	−0.222581	+	0.537357i
$170$	−7.93793	+	5.67055i	−0.608812	+	0.434911i
$171$	16.9617	+	8.01334i	1.29709	+	0.612795i
$172$	3.77419	+	2.19389i	0.287779	+	0.167283i
$173$	12.2151	+	18.2811i	0.928693	+	1.38989i	0.920849	+	0.389919i	$0.127497\pi$
$173$	12.2151	+	18.2811i	0.928693	+	1.38989i	0.00784395	+	0.999969i	$0.497503\pi$
$174$	−2.48062	−	4.56462i	−0.188055	−	0.346043i
$175$	−10.4875	+	10.4875i	−0.792778	+	0.792778i
$176$	9.66980	−	3.21899i	0.728888	−	0.242641i
$177$	−3.84091	−	1.26795i	−0.288701	−	0.0953048i
$178$	−14.5173	+	15.4542i	−1.08811	+	1.15834i
$179$	−5.36222	−	8.02513i	−0.400791	−	0.599826i	0.575100	−	0.818083i	$-0.304963\pi$
$179$	−5.36222	−	8.02513i	−0.400791	−	0.599826i	−0.975891	+	0.218257i	$0.929963\pi$
$180$	−3.92955	+	4.03990i	−0.292892	+	0.301116i
$181$	−4.02619	−	20.2410i	−0.299264	−	1.50450i	−0.778963	−	0.627069i	$-0.784254\pi$
$181$	−4.02619	−	20.2410i	−0.299264	−	1.50450i	0.479699	−	0.877433i	$-0.340746\pi$
$182$	3.79610	−	22.7836i	0.281385	−	1.68883i
$183$	1.32893	+	17.9631i	0.0982377	+	1.32787i
$184$	−7.05629	−	5.84336i	−0.520197	−	0.430779i
$185$	−0.649936	−	1.56909i	−0.0477843	−	0.115361i
$186$	−3.04417	−	3.65740i	−0.223209	−	0.268174i
$187$	−15.5578	−	10.3954i	−1.13770	−	0.760184i
$188$	9.54004	−	0.597045i	0.695779	−	0.0435440i
$189$	−6.72446	+	17.4662i	−0.489133	+	1.27048i
$190$	−3.41697	−	7.57108i	−0.247893	−	0.549264i
$191$	−22.5496			−1.63163			−0.815816	−	0.578311i	$-0.803712\pi$
$191$	−22.5496			−1.63163			−0.815816	+	0.578311i	$0.803712\pi$
$192$	4.45987	−	13.1191i	0.321864	−	0.946786i
$193$	−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
$195$	−7.10950	+	1.96911i	−0.509122	+	0.141011i
$196$	0.746224	+	11.9237i	0.0533017	+	0.851695i
$197$	10.9919	+	7.34453i	0.783137	+	0.523276i	0.881675	−	0.471858i	$-0.156416\pi$
$197$	10.9919	+	7.34453i	0.783137	+	0.523276i	−0.0985373	+	0.995133i	$0.531416\pi$
$198$	−9.91338	−	4.30989i	−0.704513	−	0.306291i
$199$	−10.4125	−	25.1380i	−0.738123	−	1.78199i	−0.613364	−	0.789801i	$-0.710184\pi$
$199$	−10.4125	−	25.1380i	−0.738123	−	1.78199i	−0.124760	−	0.992187i	$-0.539816\pi$
$200$	−11.5955	+	1.09030i	−0.819927	+	0.0770961i
$201$	−4.04118	+	0.298971i	−0.285043	+	0.0210878i
$202$	1.42498	−	8.55250i	0.100261	−	0.601752i
$203$	1.49034	+	7.49243i	0.104601	+	0.525866i
$204$	−24.0447	+	8.30847i	−1.68347	+	0.581709i
$205$	5.52356	+	8.26660i	0.385782	+	0.577364i
$206$	13.8797	−	14.7755i	0.967046	−	1.02946i
$207$	1.42999	+	9.61163i	0.0993910	+	0.668054i
$208$	13.7070	−	11.8785i	0.950409	−	0.823623i
$209$	11.2657	−	11.2657i	0.779268	−	0.779268i
$210$	7.28145	−	3.95707i	0.502468	−	0.273064i
$211$	13.1657	+	19.7038i	0.906361	+	1.35647i	0.934161	+	0.356852i	$0.116150\pi$
$211$	13.1657	+	19.7038i	0.906361	+	1.35647i	−0.0277998	+	0.999614i	$0.508850\pi$
$212$	7.32438	−	12.6003i	0.503041	−	0.865390i
$213$	−6.07102	−	7.77584i	−0.415979	−	0.532792i
$214$	5.17344	−	3.69571i	0.353649	−	0.252633i
$215$	−0.784600	+	1.89419i	−0.0535093	+	0.129183i
$216$	−12.8149	+	7.19576i	−0.871942	+	0.489610i
$217$	2.67772	+	6.46459i	0.181775	+	0.438845i
$218$	−0.112296	+	0.179995i	−0.00760567	+	0.0121908i
$219$	−0.100509	+	0.816357i	−0.00679179	+	0.0551643i
$220$	2.10432	+	4.29905i	0.141873	+	0.289842i
$221$	−32.6603	−	6.49654i	−2.19697	−	0.437004i
$222$	−0.464618	−	4.40454i	−0.0311831	−	0.295613i
$223$	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	0.315585	+	0.948897i	$0.397799\pi$
$227$	−5.10913	+	25.6853i	−0.339105	+	1.70479i	−0.654690	+	0.755898i	$0.727201\pi$
$228$	−2.94436	−	21.4604i	−0.194995	−	1.42125i
$229$	−17.5274	−	11.7114i	−1.15824	−	0.773914i	−0.180471	−	0.983580i	$-0.557762\pi$
$229$	−17.5274	−	11.7114i	−1.15824	−	0.773914i	−0.977773	+	0.209666i	$0.932762\pi$
$230$	2.27754	−	3.65057i	0.150177	−	0.240712i
$231$	12.0383	+	10.3798i	0.792061	+	0.682939i
$232$	−2.85119	+	5.27792i	−0.187190	+	0.346512i
$233$	1.86538	+	0.772664i	0.122205	+	0.0506189i	0.442948	−	0.896547i	$-0.353933\pi$
$233$	1.86538	+	0.772664i	0.122205	+	0.0506189i	−0.320743	+	0.947166i	$0.603933\pi$
$234$	−19.2351	−	0.334826i	−1.25744	−	0.0218883i
$235$	0.875808	+	4.40298i	0.0571314	+	0.287219i
$236$	1.19551	+	4.51492i	0.0778213	+	0.293896i
$237$	−0.398432	+	0.703684i	−0.0258809	+	0.0457092i
$238$	37.3899	−	1.16884i	2.42362	−	0.0757648i
$239$	−4.04233	−	4.04233i	−0.261476	−	0.261476i	0.564177	−	0.825654i	$-0.309193\pi$
$239$	−4.04233	−	4.04233i	−0.261476	−	0.261476i	−0.825654	+	0.564177i	$0.809193\pi$
$240$	6.38577	+	1.25362i	0.412199	+	0.0809207i
$241$	3.06119	−	3.06119i	0.197188	−	0.197188i	−0.601605	−	0.798794i	$-0.705472\pi$
$241$	3.06119	−	3.06119i	0.197188	−	0.197188i	0.798794	+	0.601605i	$0.205472\pi$
$242$	4.36525	−	4.64698i	0.280609	−	0.298719i
$243$	15.2134	+	3.39905i	0.975938	+	0.218049i
$244$	16.5380	−	12.6128i	1.05874	−	0.807449i
$245$	−5.50312	+	1.09464i	−0.351581	+	0.0699338i
$246$	7.69779	+	24.7579i	0.490793	+	1.57851i
$247$	10.8508	−	26.1961i	0.690418	−	1.66682i
$248$	−1.61826	+	5.25096i	−0.102759	+	0.333436i
$249$	−3.12097	−	2.69099i	−0.197783	−	0.170535i
$250$	−2.73289	−	11.7993i	−0.172843	−	0.746256i
$251$	−4.05637	+	6.07079i	−0.256036	+	0.383185i	−0.937113	−	0.349027i	$-0.886512\pi$
$251$	−4.05637	+	6.07079i	−0.256036	+	0.383185i	0.681077	+	0.732212i	$0.261512\pi$
$252$	21.1356	−	4.50921i	1.33142	−	0.284053i
$253$	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	$0.903651\pi$
$258$	−3.36318	+	4.15639i	−0.209382	+	0.258765i
$259$	−1.27055	+	6.38749i	−0.0789482	+	0.396899i
$260$	6.38789	+	5.63543i	0.396160	+	0.349495i
$261$	5.98983	−	2.14611i	0.370761	−	0.132841i
$262$	4.06525	−	0.941566i	0.251152	−	0.0581701i
$263$	−15.7747	+	6.53409i	−0.972708	+	0.402909i	−0.811720	−	0.584047i	$-0.801468\pi$
$263$	−15.7747	+	6.53409i	−0.972708	+	0.402909i	−0.160989	+	0.986956i	$0.551468\pi$
$264$	2.08219	+	12.3071i	0.128150	+	0.757450i
$265$	6.32383	+	2.61941i	0.388470	+	0.160909i
$266$	−5.23491	+	31.4191i	−0.320973	+	1.92643i
$267$	−15.9812	−	20.4689i	−0.978033	−	1.25268i
$268$	2.83750	+	3.72056i	0.173328	+	0.227270i
$269$	13.9649	−	9.33106i	0.851456	−	0.568925i	−0.0514922	−	0.998673i	$-0.516398\pi$
$269$	13.9649	−	9.33106i	0.851456	−	0.568925i	0.902949	+	0.429748i	$0.141398\pi$
$270$	−4.15242	−	5.51368i	−0.252708	−	0.335552i
$271$	7.12290	+	7.12290i	0.432685	+	0.432685i	0.889541	−	0.456856i	$-0.151024\pi$
$271$	7.12290	+	7.12290i	0.432685	+	0.432685i	−0.456856	+	0.889541i	$0.651024\pi$
$272$	23.1991	+	18.0196i	1.40665	+	1.09260i
$273$	26.8629	+	8.86788i	1.62582	+	0.536708i
$274$	0.184937	+	5.91590i	0.0111724	+	0.357393i
$275$	8.72332	−	5.82873i	0.526036	−	0.351486i
$276$	8.39574	−	7.44418i	0.505364	−	0.448087i
$277$	3.90395	−	0.776545i	0.234566	−	0.0466581i	−0.0764075	−	0.997077i	$-0.524345\pi$
$277$	3.90395	−	0.776545i	0.234566	−	0.0466581i	0.310973	+	0.950419i	$0.399345\pi$
$278$	12.8024	−	9.14554i	0.767837	−	0.548513i
$279$	4.99753	−	2.99833i	0.299194	−	0.179506i
$280$	−8.41929	−	4.54819i	−0.503149	−	0.271806i
$281$	−11.5840	+	4.79825i	−0.691043	+	0.286239i	−0.700435	−	0.713717i	$-0.747010\pi$
$281$	−11.5840	+	4.79825i	−0.691043	+	0.286239i	0.00939167	+	0.999956i	$0.497010\pi$
$282$	−1.06680	+	11.6583i	−0.0635272	+	0.694240i
$283$	−4.09592	+	6.12998i	−0.243477	+	0.364389i	−0.933001	−	0.359874i	$-0.882820\pi$
$283$	−4.09592	+	6.12998i	−0.243477	+	0.364389i	0.689524	+	0.724263i	$0.257820\pi$
$284$	−3.69339	+	10.7759i	−0.219163	+	0.639432i
$285$	9.80417	−	2.71546i	0.580749	−	0.160850i
$286$	−5.77785	+	15.2830i	−0.341651	+	0.903703i
$287$		−	38.1246i		−	2.25043i
$288$	15.0414	+	7.85848i	0.886324	+	0.463066i
$289$		−	36.9316i		−	2.17245i
$290$	−2.63530	−	0.996292i	−0.154750	−	0.0585043i
$291$	−14.7767	+	4.09269i	−0.866225	+	0.239918i
$292$	0.853054	−	0.417558i	0.0499212	−	0.0244357i
$293$	−0.116379	+	0.174174i	−0.00679894	+	0.0101753i	−0.834854	−	0.550472i	$-0.814448\pi$
$293$	−0.116379	+	0.174174i	−0.00679894	+	0.0101753i	0.828055	+	0.560648i	$0.189448\pi$
$294$	−14.5712	−	1.33336i	−0.849811	−	0.0777629i
$295$	−2.02654	+	0.839419i	−0.117989	+	0.0488728i
$296$	−3.96759	+	3.22686i	−0.230612	+	0.187557i
$297$	7.07568	−	11.1897i	0.410573	−	0.649294i
$298$	−14.9738	−	20.9611i	−0.867410	−	1.21425i
$299$	14.4055	−	2.86543i	0.833091	−	0.165712i
$300$	0.855356	−	14.2385i	0.0493840	−	0.822062i
$301$	6.53703	−	4.36790i	0.376788	−	0.251762i
$302$	1.36754	−	0.0427507i	0.0786933	−	0.00246003i
$303$	10.0838	+	3.32882i	0.579298	+	0.191236i
$304$	−18.9023	+	16.3807i	−1.08412	+	0.939497i
$305$	6.90709	+	6.90709i	0.395499	+	0.395499i
$306$	−5.54569	−	30.6597i	−0.317026	−	1.75270i
$307$	−12.7188	+	8.49845i	−0.725902	+	0.485032i	−0.862795	−	0.505553i	$-0.831288\pi$
$307$	−12.7188	+	8.49845i	−0.725902	+	0.485032i	0.136893	+	0.990586i	$0.456288\pi$
$308$	2.44936	−	18.1901i	0.139565	−	1.03648i
$309$	15.2794	+	19.5700i	0.869212	+	1.11330i
$310$	−2.54548	−	0.424116i	−0.144573	−	0.0240881i
$311$	−21.6343	−	8.96124i	−1.22677	−	0.508145i	−0.327215	−	0.944950i	$-0.606110\pi$
$311$	−21.6343	−	8.96124i	−1.22677	−	0.508145i	−0.899556	+	0.436805i	$0.856110\pi$
$312$	11.8055	+	18.8175i	0.668353	+	1.06533i
$313$	5.51637	−	2.28496i	0.311804	−	0.129153i	−0.221294	−	0.975207i	$-0.571028\pi$
$313$	5.51637	−	2.28496i	0.311804	−	0.129153i	0.533097	+	0.846054i	$0.321028\pi$
$314$	0.442204	+	1.90923i	0.0249550	+	0.107744i
$315$	3.42346	+	9.55493i	0.192890	+	0.538360i
$316$	0.931928	−	0.0583229i	0.0524251	−	0.00328092i
$317$	−2.74242	+	13.7871i	−0.154030	+	0.774359i	0.824113	+	0.566425i	$0.191674\pi$
$317$	−2.74242	+	13.7871i	−0.154030	+	0.774359i	−0.978143	+	0.207934i	$0.933326\pi$
$318$	13.8762	+	11.2281i	0.778141	+	0.629639i
$319$		−	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
$324$	−6.30535	−	16.8595i	−0.350297	−	0.936639i
$325$	10.3734	−	15.5248i	0.575411	−	0.861163i
$326$	1.61350	−	0.373708i	0.0893634	−	0.0206978i
$327$	−0.196784	−	0.169673i	−0.0108822	−	0.00938295i
$328$	19.0946	−	23.0581i	1.05432	−	1.27317i
$329$	6.58776	−	15.9043i	0.363195	−	0.876830i
$330$	−5.59783	+	1.74049i	−0.308150	+	0.0958109i
$331$	−6.82759	+	1.35809i	−0.375278	+	0.0746474i	−0.379126	−	0.925345i	$-0.623775\pi$
$331$	−6.82759	+	1.35809i	−0.375278	+	0.0746474i	0.00384773	+	0.999993i	$0.498775\pi$
$332$	−0.635004	+	4.71586i	−0.0348504	+	0.258816i
$333$	5.41794	+	0.263824i	0.296901	+	0.0144575i
$334$	−21.4166	−	20.1182i	−1.17186	−	1.10082i
$335$	−1.55389	+	1.55389i	−0.0848983	+	0.0848983i
$336$	−17.6896	−	17.6014i	−0.965046	−	0.960233i
$337$	7.75569	+	7.75569i	0.422479	+	0.422479i	0.886057	−	0.463577i	$-0.153434\pi$
$337$	7.75569	+	7.75569i	0.422479	+	0.422479i	−0.463577	+	0.886057i	$0.653434\pi$
$338$	0.334115	+	10.6879i	0.0181735	+	0.581347i
$339$	6.40452	−	11.3112i	0.347846	−	0.614343i
$340$	−6.93323	+	11.9274i	−0.376007	+	0.646852i
$341$	−0.965630	−	4.85455i	−0.0522918	−	0.262889i
$342$	26.5257	+	0.461734i	1.43435	+	0.0249677i
$343$	−3.41580	−	1.41487i	−0.184436	−	0.0763957i
$344$	6.14130	+	0.632300i	0.331117	+	0.0340913i
$345$	3.99108	+	3.44123i	0.214873	+	0.185270i
$346$	26.3805	+	16.4585i	1.41823	+	0.884812i
$347$	19.8874	+	13.2883i	1.06761	+	0.713354i	0.959762	−	0.280813i	$-0.0906042\pi$
$347$	19.8874	+	13.2883i	1.06761	+	0.713354i	0.107847	+	0.994167i	$0.465604\pi$
$348$	−5.85305	−	4.44075i	−0.313757	−	0.238049i
$349$	2.45312	−	12.3327i	0.131313	−	0.660154i	−0.857918	−	0.513787i	$-0.828242\pi$
$349$	2.45312	−	12.3327i	0.131313	−	0.660154i	0.989230	−	0.146366i	$-0.0467579\pi$
$350$	−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	$-0.648447\pi$
$353$	−16.8958			−0.899273			−0.449637	+	0.893212i	$0.648447\pi$
$354$	−5.68863	+	0.600072i	−0.302347	+	0.0318935i
$355$	−5.24711	−	1.04372i	−0.278488	−	0.0553947i
$356$	−9.72239	+	28.3662i	−0.515286	+	1.50341i
$357$	−5.59849	+	45.4721i	−0.296303	+	2.40664i
$358$	−11.5806	−	7.22500i	−0.612056	−	0.381853i
$359$	−8.31876	−	20.0833i	−0.439047	−	1.05995i	−0.976278	−	0.216519i	$-0.930530\pi$
$359$	−8.31876	−	20.0833i	−0.439047	−	1.05995i	0.537231	−	0.843435i	$-0.319470\pi$
$360$	−2.71501	+	7.49353i	−0.143094	+	0.394944i
$361$	−7.69248	+	18.5713i	−0.404868	+	0.977437i
$362$	−16.9652	−	23.7487i	−0.891669	−	1.24820i
$363$	4.80545	+	6.15487i	0.252221	+	0.323047i
$364$	−8.36128	−	31.5768i	−0.438250	−	1.65507i
$365$	0.247816	+	0.370883i	0.0129713	+	0.0194129i
$366$	12.1632	+	22.3816i	0.635779	+	1.16991i
$367$	−9.66176	+	9.66176i	−0.504340	+	0.504340i	−0.912784	−	0.408444i	$-0.866072\pi$
$367$	−9.66176	+	9.66176i	−0.504340	+	0.504340i	0.408444	+	0.912784i	$0.366072\pi$
$368$	−12.4951	−	3.42714i	−0.651351	−	0.178652i
$369$	−31.4083	+	4.67282i	−1.63505	+	0.243257i
$370$	−1.75060	−	1.64447i	−0.0910095	−	0.0854919i
$371$	−14.5824	−	21.8241i	−0.757080	−	1.13305i
$372$	−6.05169	−	2.94348i	−0.313766	−	0.152612i
$373$	5.94684	+	29.8968i	0.307915	+	1.54800i	0.756342	+	0.654176i	$0.226984\pi$
$373$	5.94684	+	29.8968i	0.307915	+	1.54800i	−0.448427	+	0.893820i	$0.648016\pi$
$374$	−26.1017	−	4.34895i	−1.34969	−	0.224879i
$375$	14.7933	−	1.09443i	0.763923	−	0.0565160i
$376$	11.9499	−	6.31958i	0.616270	−	0.325908i
$377$	−3.68030	−	8.88504i	−0.189545	−	0.457603i
$378$	1.49312	+	26.4261i	0.0767976	+	1.35921i
$379$	−1.09128	−	0.729169i	−0.0560552	−	0.0374549i	0.527227	−	0.849725i	$-0.323232\pi$
$379$	−1.09128	−	0.729169i	−0.0560552	−	0.0374549i	−0.583282	+	0.812270i	$0.698232\pi$
$380$	−8.80905	−	7.77140i	−0.451895	−	0.398664i
$381$	−22.2971	+	6.17561i	−1.14231	+	0.316386i
$382$	−29.0668	+	13.1184i	−1.48719	+	0.671195i
$383$	9.62629			0.491880			0.245940	−	0.969285i	$-0.420903\pi$
$383$	9.62629			0.491880			0.245940	+	0.969285i	$0.420903\pi$
$384$	−1.88325	−	19.5052i	−0.0961041	−	0.995371i
$385$	8.62008			0.439320
$386$	−26.0589	+	11.7609i	−1.32636	+	0.598612i
$387$	−4.39964	−	4.85005i	−0.223646	−	0.246542i
$388$	13.2769	+	11.7129i	0.674030	+	0.594633i
$389$	−8.99400	−	6.00960i	−0.456014	−	0.304699i	0.306266	−	0.951946i	$-0.400920\pi$
$389$	−8.99400	−	6.00960i	−0.456014	−	0.304699i	−0.762280	+	0.647247i	$0.775920\pi$
$390$	−8.01871	+	6.67421i	−0.406043	+	0.337962i
$391$	9.10314	+	21.9769i	0.460365	+	1.11142i
$392$	7.89860	+	14.9357i	0.398939	+	0.754369i
$393$	0.377065	+	5.09676i	0.0190204	+	0.257098i
$394$	18.4414	+	3.07262i	0.929064	+	0.154796i
$395$	0.0855541	+	0.430109i	0.00430469	+	0.0216412i
$396$	−15.2858	+	0.211653i	−0.768140	+	0.0106360i
$397$	1.33142	+	1.99262i	0.0668223	+	0.100007i	0.863376	−	0.504561i	$-0.168346\pi$
$397$	1.33142	+	1.99262i	0.0668223	+	0.100007i	−0.796554	+	0.604568i	$0.793346\pi$
$398$	−28.0461	−	26.3457i	−1.40582	−	1.32059i
$399$	−37.0446	−	12.2290i	−1.85455	−	0.612217i
$400$	−14.3125	+	8.15118i	−0.715625	+	0.407559i
$401$	12.4417	−	12.4417i	0.621308	−	0.621308i	−0.324558	−	0.945866i	$-0.605215\pi$
$401$	12.4417	−	12.4417i	0.621308	−	0.621308i	0.945866	+	0.324558i	$0.105215\pi$
$402$	−5.03521	+	2.73636i	−0.251133	+	0.136477i
$403$	−4.89395	−	7.32432i	−0.243785	−	0.364850i
$404$	−3.13865	−	11.8533i	−0.156154	−	0.589723i
$405$	7.45205	−	3.99147i	0.370295	−	0.198338i
$406$	6.27984	+	8.79084i	0.311663	+	0.436282i
$407$	1.76297	−	4.25619i	0.0873873	−	0.210972i
$408$	−26.1605	+	24.6979i	−1.29514	+	1.22273i
$409$	9.56929	+	23.1023i	0.473171	+	1.14234i	0.962754	+	0.270379i	$0.0871489\pi$
$409$	9.56929	+	23.1023i	0.473171	+	1.14234i	−0.489583	+	0.871957i	$0.662851\pi$
$410$	11.9291	+	7.44240i	0.589136	+	0.367554i
$411$	−7.19469	−	0.885805i	−0.354888	−	0.0436935i
$412$	9.29542	−	27.1205i	0.457952	−	1.33613i
$413$	8.24970	+	1.64097i	0.405941	+	0.0807467i
$414$	7.43490	+	11.5576i	0.365405	+	0.568026i
$415$	−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	$-0.960341\pi$
$419$	−0.572629	+	2.87880i	−0.0279747	+	0.140639i	0.964274	+	0.264908i	$0.0853414\pi$
$420$	7.08385	−	9.33675i	0.345656	−	0.455587i
$421$	−14.9937	−	10.0185i	−0.730749	−	0.488271i	0.133681	−	0.991024i	$-0.457320\pi$
$421$	−14.9937	−	10.0185i	−0.730749	−	0.488271i	−0.864430	+	0.502754i	$0.832320\pi$
$422$	28.4335	+	17.7393i	1.38412	+	0.863535i
$423$	−13.9099	−	3.47787i	−0.676321	−	0.169100i
$424$	2.11096	−	20.5029i	0.102517	−	0.995710i
$425$	27.9379	+	11.5723i	1.35519	+	0.561337i
$426$	−12.3493	−	6.49131i	−0.598324	−	0.314505i
$427$	−7.30754	−	36.7375i	−0.353637	−	1.77785i
$428$	4.51864	−	7.77350i	0.218417	−	0.375746i
$429$	−17.4132	−	9.85951i	−0.840719	−	0.476022i
$430$	0.0905971	+	2.89809i	0.00436898	+	0.139758i
$431$	6.70250	+	6.70250i	0.322848	+	0.322848i	0.849859	−	0.527011i	$-0.176687\pi$
$431$	6.70250	+	6.70250i	0.322848	+	0.322848i	−0.527011	+	0.849859i	$0.676687\pi$
$432$	−12.3324	+	16.7306i	−0.593342	+	0.804950i
$433$	25.0412	−	25.0412i	1.20340	−	1.20340i	0.230278	−	0.973125i	$-0.426036\pi$
$433$	25.0412	−	25.0412i	1.20340	−	1.20340i	0.973125	−	0.230278i	$-0.0739636\pi$
$434$	7.21243	+	6.77517i	0.346208	+	0.325218i
$435$	1.70011	−	3.00262i	0.0815139	−	0.143964i
$436$	−0.0400385	+	0.297345i	−0.00191749	+	0.0142403i
$437$	−19.8655	+	3.95150i	−0.950297	+	0.189026i
$438$	0.345363	+	1.11077i	0.0165021	+	0.0530746i
$439$	−11.7002	+	28.2467i	−0.558419	+	1.34814i	0.352598	+	0.935775i	$0.385298\pi$
$439$	−11.7002	+	28.2467i	−0.558419	+	1.34814i	−0.911017	+	0.412368i	$0.864702\pi$
$440$	5.21350	+	4.31734i	0.248544	+	0.205821i
$441$	4.34685	−	17.3854i	0.206993	−	0.827876i
$442$	−45.8790	+	10.6262i	−2.18224	+	0.505437i
$443$	9.55325	−	14.2974i	0.453889	−	0.679292i	−0.531991	−	0.846750i	$-0.678556\pi$
$443$	9.55325	−	14.2974i	0.453889	−	0.679292i	0.985879	+	0.167458i	$0.0535559\pi$
$444$	−3.16127	−	5.40722i	−0.150027	−	0.256615i
$445$	−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	$-0.196292\pi$
$450$	17.0724	+	3.70592i	0.804801	+	0.174699i
$451$	−5.26127	+	26.4502i	−0.247744	+	1.24549i
$452$	−14.9801	+	0.937502i	−0.704606	+	0.0440964i
$453$	−0.204766	+	1.66315i	−0.00962075	+	0.0781417i
$454$	8.35686	+	36.0810i	0.392207	+	1.69337i
$455$	14.1733	−	5.87079i	0.664457	−	0.275227i
$456$	−16.2800	−	25.9499i	−0.762382	−	1.21521i
$457$	8.42954	+	3.49163i	0.394317	+	0.163332i	0.571027	−	0.820932i	$-0.306545\pi$
$457$	8.42954	+	3.49163i	0.394317	+	0.163332i	−0.176709	+	0.984263i	$0.556545\pi$
$458$	−29.4063	−	4.89954i	−1.37407	−	0.228941i
$459$	38.1475	−	0.961164i	1.78057	−	0.0448633i
$460$	0.812041	−	6.03061i	0.0378616	−	0.281179i
$461$	4.23784	−	2.83163i	0.197376	−	0.131882i	−0.452955	−	0.891533i	$-0.649630\pi$
$461$	4.23784	−	2.83163i	0.197376	−	0.131882i	0.650331	+	0.759651i	$0.274630\pi$
$462$	21.5560	+	6.37633i	1.00288	+	0.296654i
$463$	−21.0591	−	21.0591i	−0.978699	−	0.978699i	0.0210785	−	0.999778i	$-0.493290\pi$
$463$	−21.0591	−	21.0591i	−0.978699	−	0.978699i	−0.999778	+	0.0210785i	$0.993290\pi$
$464$	−0.604760	+	8.46201i	−0.0280753	+	0.392839i
$465$	0.990755	−	3.00123i	0.0459452	−	0.139179i
$466$	2.85400	−	0.0892188i	0.132209	−	0.00413298i
$467$	−24.5474	+	16.4021i	−1.13592	+	0.758997i	−0.973717	−	0.227761i	$-0.926860\pi$
$467$	−24.5474	+	16.4021i	−1.13592	+	0.758997i	−0.162202	+	0.986758i	$0.551860\pi$
$468$	−24.9891	+	10.7586i	−1.15512	+	0.497314i
$469$	8.26486	−	1.64398i	0.381636	−	0.0759121i
$470$	3.69039	+	5.16600i	0.170225	+	0.238290i
$471$	−2.39368	+	0.177088i	−0.110295	+	0.00815977i
$472$	4.16762	+	5.12430i	0.191830	+	0.235865i
$473$	−5.13806	+	2.12825i	−0.236248	+	0.0978572i
$474$	−0.104212	+	1.13885i	−0.00478660	+	0.0523091i
$475$	−14.3051	+	21.4091i	−0.656364	+	0.982319i
$476$	47.5161	−	23.2584i	2.17790	−	1.06605i
$477$	−16.1920	+	14.6883i	−0.741383	+	0.672533i
$478$	−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	$0.846177\pi$
$480$	8.96065	−	2.09903i	0.408996	−	0.0958071i
$481$		−	8.19883i		−	0.373834i
$482$	2.16505	−	5.72678i	0.0986154	−	0.260848i
$483$	−5.39388	−	19.4746i	−0.245430	−	0.886127i
$484$	2.92346	−	8.52954i	0.132885	−	0.387706i
$485$	−4.61965	+	6.91379i	−0.209767	+	0.313939i
$486$	21.5877	−	4.46905i	0.979237	−	0.202720i
$487$	−1.07385	+	0.444804i	−0.0486609	+	0.0201560i	−0.406881	−	0.913481i	$-0.633384\pi$
$487$	−1.07385	+	0.444804i	−0.0486609	+	0.0201560i	0.358220	+	0.933637i	$0.383384\pi$
$488$	13.9802	−	25.8791i	0.632852	−	1.17149i
$489$	0.149657	+	2.02291i	0.00676774	+	0.0914791i
$490$	−6.45679	+	4.61248i	−0.291688	+	0.208370i
$491$	−26.9490	+	5.36048i	−1.21619	+	0.241915i	−0.761162	−	0.648562i	$-0.775371\pi$
$491$	−26.9490	+	5.36048i	−1.21619	+	0.241915i	−0.455028	+	0.890477i	$0.650371\pi$
$492$	24.3256	+	27.4351i	1.09668	+	1.23687i
$493$	12.9505	−	8.65328i	0.583263	−	0.389724i
$494$	−1.25293	−	40.0796i	−0.0563719	−	1.80327i
$495$	−1.05654	−	7.10149i	−0.0474878	−	0.319188i
$496$	0.968826	+	7.71000i	0.0435016	+	0.346189i
$497$	14.5063	+	14.5063i	0.650696	+	0.650696i
$498$	−5.58848	−	1.65309i	−0.250426	−	0.0740766i
$499$	28.2598	−	18.8826i	1.26508	−	0.845301i	0.271951	−	0.962311i	$-0.412331\pi$
$499$	28.2598	−	18.8826i	1.26508	−	0.845301i	0.993131	+	0.117010i	$0.0373311\pi$
$500$	−10.3871	−	13.6197i	−0.464524	−	0.609090i
$501$	28.3660	−	22.1469i	1.26730	−	0.989450i
$502$	−1.69700	+	10.1852i	−0.0757410	+	0.454586i
$503$	−0.241993	−	0.100237i	−0.0107899	−	0.00446934i	0.377282	−	0.926098i	$-0.376859\pi$
$503$	−0.241993	−	0.100237i	−0.0107899	−	0.00446934i	−0.388072	+	0.921629i	$0.626859\pi$
$504$	24.6209	−	18.1082i	1.09670	−	0.806604i
$505$	5.32038	−	2.20378i	0.236754	−	0.0980667i
$506$	11.3704	−	2.63354i	0.505476	−	0.117075i
$507$	−12.9982	−	1.60034i	−0.577273	−	0.0710734i
$508$	20.0339	+	17.6741i	0.888862	+	0.784159i
$509$	−5.30525	+	26.6713i	−0.235151	+	1.18218i	0.665080	+	0.746772i	$0.268397\pi$
$509$	−5.30525	+	26.6713i	−0.235151	+	1.18218i	−0.900231	+	0.435412i	$0.856603\pi$
$510$	−13.1352	−	10.6285i	−0.581636	−	0.470636i
$511$		−	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
$516$	−1.91718	+	7.31420i	−0.0843992	+	0.321990i
$517$	−6.76530	+	10.1250i	−0.297537	+	0.445296i
$518$	2.07820	+	8.97272i	0.0913111	+	0.394239i
$519$	−24.8678	+	28.8412i	−1.09157	+	1.26599i
$520$	11.5125	+	3.54796i	0.504858	+	0.155588i
$521$	−0.684739	+	1.65311i	−0.0299990	+	0.0724239i	−0.938169	−	0.346177i	$-0.887480\pi$
$521$	−0.684739	+	1.65311i	−0.0299990	+	0.0724239i	0.908170	+	0.418601i	$0.137480\pi$
$522$	6.47247	−	6.25099i	0.283292	−	0.273598i
$523$	−26.9544	+	5.36156i	−1.17863	+	0.234445i	−0.745262	−	0.666772i	$-0.767676\pi$
$523$	−26.9544	+	5.36156i	−1.17863	+	0.234445i	−0.433370	+	0.901216i	$0.642676\pi$
$524$	4.69240	−	3.57868i	0.204989	−	0.156335i
$525$	−22.3543	−	12.6572i	−0.975624	−	0.552406i
$526$	−16.5326	+	17.5996i	−0.720853	+	0.767377i
$527$	10.0880	−	10.0880i	0.439438	−	0.439438i
$528$	9.84371	+	14.6527i	0.428393	+	0.637678i
$529$	8.84447	+	8.84447i	0.384542	+	0.384542i
$530$	9.67537	−	0.302461i	0.420271	−	0.0131381i
$531$	0.340739	−	6.99749i	0.0147868	−	0.303665i
$532$	11.5304	+	43.5452i	0.499907	+	1.88792i
$533$	9.36347	+	47.0733i	0.405577	+	2.03897i
$534$	−32.5079	−	17.0876i	−1.40675	−	0.739451i
$535$	3.90137	+	1.61600i	0.168671	+	0.0698658i
$536$	5.82204	+	3.14513i	0.251474	+	0.135849i
$537$	10.9166	−	12.6608i	0.471084	−	0.546356i
$538$	12.5726	−	20.1521i	0.542043	−	0.868817i
$539$	−12.6548	−	8.45568i	−0.545082	−	0.364212i
$540$	−8.56015	−	4.69152i	−0.368370	−	0.201891i
$541$	3.79880	−	19.0979i	0.163323	−	0.821081i	−0.809066	−	0.587717i	$-0.800027\pi$
$541$	3.79880	−	19.0979i	0.163323	−	0.821081i	0.972390	−	0.233364i	$-0.0749732\pi$
$542$	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
$546$	39.7856	−	4.19683i	1.70267	−	0.179608i
$547$	10.4827	+	2.08513i	0.448207	+	0.0891539i	0.414033	−	0.910262i	$-0.364120\pi$
$547$	10.4827	+	2.08513i	0.448207	+	0.0891539i	0.0341741	+	0.999416i	$0.489120\pi$
$548$	3.68000	+	7.51810i	0.157202	+	0.321157i
$549$	−29.3698	+	10.5230i	−1.25347	+	0.449110i
$550$	7.85358	−	12.5882i	0.334878	−	0.536761i
$551$	5.07523	+	12.2527i	0.216212	+	0.521982i
$552$	6.49153	−	14.4799i	0.276298	−	0.616307i
$553$	0.643532	−	1.55362i	0.0273658	−	0.0660668i
$554$	4.58050	−	3.27213i	0.194607	−	0.139019i
$555$	2.31865	−	1.81030i	0.0984214	−	0.0768429i
$556$	11.1820	−	19.2366i	0.474223	−	0.815814i
$557$	−8.57600	−	12.8349i	−0.363377	−	0.543832i	0.604062	−	0.796938i	$-0.293548\pi$
$557$	−8.57600	−	12.8349i	−0.363377	−	0.543832i	−0.967439	+	0.253105i	$0.918548\pi$
$558$	4.69759	−	6.77224i	0.198865	−	0.286692i
$559$	−6.99865	+	6.99865i	−0.296011	+	0.296011i
$560$	−13.4985	−	0.964709i	−0.570417	−	0.0407664i
$561$	10.1594	−	30.7751i	0.428929	−	1.29933i
$562$	−12.1405	+	12.9241i	−0.512117	+	0.545169i
$563$	−13.4593	−	20.1433i	−0.567243	−	0.848940i	0.431338	−	0.902191i	$-0.358042\pi$
$563$	−13.4593	−	20.1433i	−0.567243	−	0.848940i	−0.998581	+	0.0532507i	$0.983042\pi$
$564$	5.40715	+	15.6483i	0.227682	+	0.658912i
$565$	−1.37522	−	6.91372i	−0.0578561	−	0.290863i
$566$	−1.71355	+	10.2845i	−0.0720259	+	0.432288i
$567$	−32.2635	−	3.14958i	−1.35494	−	0.132270i
$568$	1.50811	+	16.0390i	0.0632789	+	0.672980i
$569$	−3.48492	−	8.41335i	−0.146096	−	0.352706i	0.833844	−	0.552000i	$-0.186135\pi$
$569$	−3.48492	−	8.41335i	−0.146096	−	0.352706i	−0.979940	+	0.199294i	$0.936135\pi$
$570$	11.0580	−	9.20390i	0.463168	−	0.385509i
$571$	−7.82470	−	5.22829i	−0.327453	−	0.218797i	0.380966	−	0.924589i	$-0.375591\pi$
$571$	−7.82470	−	5.22829i	−0.327453	−	0.218797i	−0.708419	+	0.705792i	$0.750591\pi$
$572$	1.44325	+	23.0613i	0.0603452	+	0.964242i
$573$	−10.4251	−	37.6400i	−0.435516	−	1.57243i
$574$	−22.1792	−	49.1432i	−0.925744	−	2.05120i
$575$	−13.3379			−0.556227
$576$	23.9603	+	1.37926i	0.998347	+	0.0574692i
$577$	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
$579$	−9.34633	−	33.7450i	−0.388420	−	1.40239i
$580$	−3.97653	+	0.248864i	−0.165117	+	0.0103335i
$581$	7.12538	+	4.76102i	0.295610	+	0.197521i
$582$	−16.6664	+	13.8720i	−0.690845	+	0.575012i
$583$	7.10524	+	17.1536i	0.294269	+	0.710429i
$584$	0.856683	−	1.03451i	0.0354498	−	0.0428082i
$585$	−6.57373	−	10.9569i	−0.271790	−	0.453011i
$586$	−0.0486878	+	0.292217i	−0.00201128	+	0.0120714i
$587$	2.95556	+	14.8586i	0.121989	+	0.613281i	0.992612	+	0.121330i	$0.0387160\pi$
$587$	2.95556	+	14.8586i	0.121989	+	0.613281i	−0.870623	+	0.491951i	$0.836284\pi$
$588$	−19.5582	+	6.75818i	−0.806567	+	0.278703i
$589$	6.74888	+	10.1004i	0.278083	+	0.416180i
$590$	−2.12390	+	2.26097i	−0.0874395	+	0.0930828i
$591$	−7.17779	+	21.7432i	−0.295255	+	0.894397i
$592$	−3.23704	+	6.46764i	−0.133041	+	0.265818i
$593$	−16.2234	+	16.2234i	−0.666216	+	0.666216i	−0.956838	−	0.290622i	$-0.906138\pi$
$593$	−16.2234	+	16.2234i	−0.666216	+	0.666216i	0.290622	+	0.956838i	$0.406138\pi$
$594$	2.61096	−	18.5401i	0.107129	−	0.760708i
$595$	13.8036	+	20.6586i	0.565894	+	0.846920i
$596$	−31.4957	−	18.3081i	−1.29012	−	0.749929i
$597$	37.1467	−	29.0025i	1.52031	−	1.18699i
$598$	16.9019	−	12.0741i	0.691170	−	0.493745i
$599$	−17.7975	+	42.9669i	−0.727185	+	1.75558i	−0.0754288	+	0.997151i	$0.524033\pi$
$599$	−17.7975	+	42.9669i	−0.727185	+	1.75558i	−0.651756	+	0.758429i	$0.725967\pi$
$600$	−7.18078	−	18.8513i	−0.293154	−	0.769600i
$601$	−17.1057	−	41.2969i	−0.697758	−	1.68454i	−0.728534	−	0.685010i	$-0.759798\pi$
$601$	−17.1057	−	41.2969i	−0.697758	−	1.68454i	0.0307760	−	0.999526i	$-0.490202\pi$
$602$	5.88527	−	9.43325i	0.239866	−	0.384471i
$603$	−2.36736	−	6.60735i	−0.0964065	−	0.269072i
$604$	1.73791	−	0.850683i	0.0707147	−	0.0346138i
$605$	4.15329	+	0.826141i	0.168855	+	0.0335874i
$606$	14.9347	−	1.57540i	0.606681	−	0.0639964i
$607$	−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
$612$	−24.9849	−	36.2945i	−1.00996	−	1.46712i
$613$	30.7225	+	20.5281i	1.24087	+	0.829123i	0.990296	−	0.138975i	$-0.0443806\pi$
$613$	30.7225	+	20.5281i	1.24087	+	0.829123i	0.250574	+	0.968097i	$0.419381\pi$
$614$	−11.4507	+	18.3539i	−0.462114	+	0.740703i
$615$	−11.2450	+	13.0418i	−0.453443	+	0.525896i
$616$	−7.42496	−	24.8723i	−0.299160	−	1.00213i
$617$	−13.6786	−	5.66585i	−0.550678	−	0.228098i	0.0899544	−	0.995946i	$-0.471328\pi$
$617$	−13.6786	−	5.66585i	−0.550678	−	0.228098i	−0.640633	+	0.767847i	$0.721328\pi$
$618$	31.0803	+	16.3371i	1.25023	+	0.657176i
$619$	8.27344	+	41.5934i	0.332537	+	1.67178i	0.679327	+	0.733836i	$0.262272\pi$
$619$	8.27344	+	41.5934i	0.332537	+	1.67178i	−0.346790	+	0.937943i	$0.612728\pi$
$620$	−3.52789	+	0.934156i	−0.141683	+	0.0375166i
$621$	−15.3827	+	6.83060i	−0.617287	+	0.274102i
$622$	−33.1003	+	1.03475i	−1.32720	+	0.0414895i
$623$	38.1860	+	38.1860i	1.52989	+	1.52989i
$624$	26.1646	+	17.3882i	1.04742	+	0.696085i
$625$	−8.87008	+	8.87008i	−0.354803	+	0.354803i
$626$	5.78140	−	6.15453i	0.231071	−	0.245984i
$627$	24.0133	+	13.5965i	0.958998	+	0.542992i
$628$	1.68072	+	2.20378i	0.0670679	+	0.0879402i
$629$	13.0234	−	2.59051i	0.519276	−	0.103290i
$630$	9.97153	+	10.3248i	0.397275	+	0.411351i
$631$	1.79610	−	4.33617i	0.0715017	−	0.172620i	−0.884088	−	0.467320i	$-0.845220\pi$
$631$	1.79610	−	4.33617i	0.0715017	−	0.172620i	0.955590	+	0.294700i	$0.0952196\pi$
$632$	1.16734	−	0.617334i	0.0464343	−	0.0245562i
$633$	−26.8030	+	31.0857i	−1.06532	+	1.23555i
$634$	4.48570	+	19.3672i	0.178150	+	0.769168i
$635$	−6.97076	+	10.4325i	−0.276626	+	0.414000i
$636$	24.4187	+	6.40057i	0.968264	+	0.253799i
$637$	−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	$0.825855\pi$
$642$	8.56069	+	6.92696i	0.337864	+	0.273385i
$643$	3.01878	−	15.1764i	0.119049	−	0.598500i	−0.874493	−	0.485038i	$-0.838806\pi$
$643$	3.01878	−	15.1764i	0.119049	−	0.598500i	0.993542	−	0.113463i	$-0.0361942\pi$
$644$	−15.4368	+	17.4980i	−0.608296	+	0.689517i
$645$	−3.52454	−	0.433939i	−0.138779	−	0.0170863i
$646$	63.2683	−	14.6538i	2.48926	−	0.576546i
$647$	16.9532	−	7.02227i	0.666501	−	0.276074i	−0.0236703	−	0.999720i	$-0.507535\pi$
$647$	16.9532	−	7.02227i	0.666501	−	0.276074i	0.690171	+	0.723646i	$0.257535\pi$
$648$	−17.9358	−	18.0640i	−0.704585	−	0.709619i
$649$	−5.49704	−	2.27695i	−0.215778	−	0.0893781i
$650$	4.33975	−	26.0465i	0.170219	−	1.02163i
$651$	−9.55279	+	7.45838i	−0.374403	+	0.292317i
$652$	1.86242	−	1.42038i	0.0729379	−	0.0556263i
$653$	34.4279	−	23.0040i	1.34727	−	0.900216i	0.347963	−	0.937508i	$-0.386873\pi$
$653$	34.4279	−	23.0040i	1.34727	−	0.900216i	0.999304	+	0.0372925i	$0.0118733\pi$
$654$	−0.352366	−	0.104231i	−0.0137786	−	0.00407575i
$655$	1.95978	+	1.95978i	0.0765750	+	0.0765750i
$656$	11.1990	−	40.8306i	0.437247	−	1.59417i
$657$	−1.40914	+	0.209647i	−0.0549758	+	0.00817912i
$658$	−0.760683	−	24.3333i	−0.0296545	−	0.948611i
$659$	23.5696	−	15.7487i	0.918141	−	0.613482i	−0.00414472	−	0.999991i	$-0.501319\pi$
$659$	23.5696	−	15.7487i	0.918141	−	0.613482i	0.922285	+	0.386509i	$0.126319\pi$
$660$	−6.20314	+	5.50009i	−0.241457	+	0.214091i
$661$	−20.2429	+	4.02657i	−0.787359	+	0.156615i	−0.572364	−	0.820000i	$-0.693974\pi$
$661$	−20.2429	+	4.02657i	−0.787359	+	0.156615i	−0.214995	+	0.976615i	$0.568974\pi$
$662$	−8.01078	+	5.72259i	−0.311348	+	0.222415i
$663$	−4.25543	−	57.5203i	−0.165267	−	2.23391i
$664$	1.92495	+	6.44823i	0.0747025	+	0.250240i
$665$	−19.5454	+	8.09597i	−0.757938	+	0.313948i
$666$	7.13729	−	2.81185i	0.276564	−	0.108957i
$667$	−3.81670	+	5.71210i	−0.147783	+	0.221173i
$668$	−39.3101	−	13.4734i	−1.52095	−	0.521301i
$669$	4.69021	+	16.9340i	0.181334	+	0.654707i
$670$	−1.09901	+	2.90698i	−0.0424583	+	0.112306i
$671$			26.4963i			1.02288i
$672$	−33.0418	−	12.3974i	−1.27462	−	0.478239i
$673$		−	13.7331i		−	0.529372i	−0.964335	−	0.264686i	$-0.914732\pi$
$673$		−	13.7331i		−	0.529372i	0.964335	−	0.264686i	$-0.0852683\pi$
$674$	14.5091	+	5.48528i	0.558871	+	0.211285i
$675$	−7.68750	+	19.9676i	−0.295892	+	0.768552i
$676$	6.64846	+	13.5825i	0.255710	+	0.522405i
$677$	22.3611	−	33.4658i	0.859409	−	1.28620i	−0.0973314	−	0.995252i	$-0.531031\pi$
$677$	22.3611	−	33.4658i	0.859409	−	1.28620i	0.956740	−	0.290944i	$-0.0939693\pi$
$678$	1.67513	−	18.3062i	0.0643331	−	0.703047i
$679$	29.4585	−	12.2021i	1.13051	−	0.468274i
$680$	−1.99822	+	19.4080i	−0.0766283	+	0.744263i
$681$	−45.2362	+	3.34663i	−1.73346	+	0.128243i
$682$	−4.06888	−	5.69583i	−0.155805	−	0.218104i
$683$	8.29276	−	1.64953i	0.317314	−	0.0631176i	−0.0338639	−	0.999426i	$-0.510781\pi$
$683$	8.29276	−	1.64953i	0.317314	−	0.0631176i	0.351178	+	0.936309i	$0.385781\pi$
$684$	34.4606	−	14.8363i	1.31764	−	0.567280i
$685$	−3.26865	+	2.18404i	−0.124889	+	0.0834479i
$686$	−5.22612	+	0.163374i	−0.199534	+	0.00623763i
$687$	11.4456	−	34.6714i	0.436676	−	1.32279i
$688$	8.28407	−	2.75770i	0.315827	−	0.105136i
$689$	23.3652	+	23.3652i	0.890144	+	0.890144i
$690$	7.14652	+	2.11396i	0.272063	+	0.0804771i
$691$	27.0109	−	18.0481i	1.02754	−	0.686583i	0.0769543	−	0.997035i	$-0.475480\pi$
$691$	27.0109	−	18.0481i	1.02754	−	0.686583i	0.950589	+	0.310452i	$0.100480\pi$
$692$	43.5797	+	5.86814i	1.65665	+	0.223073i
$693$	−11.7605	+	24.8932i	−0.446743	+	0.945614i
$694$	33.3657	+	5.55923i	1.26654	+	0.211026i
$695$	9.65448	+	3.99902i	0.366215	+	0.151691i
$696$	−10.1281	−	2.31914i	−0.383905	−	0.0879068i
$697$	−71.8148	+	29.7467i	−2.72018	+	1.12673i
$698$	−4.01251	−	17.3241i	−0.151876	−	0.655728i
$699$	−0.427338	+	3.47092i	−0.0161634	+	0.131282i
$700$	1.85278	+	29.6051i	0.0700285	+	1.11897i
$701$	5.96811	−	30.0037i	0.225412	−	1.13322i	−0.687850	−	0.725853i	$-0.741445\pi$
$701$	5.96811	−	30.0037i	0.225412	−	1.13322i	0.913262	−	0.407372i	$-0.133555\pi$
$702$	−8.33388	−	32.2622i	−0.314542	−	1.21766i
$703$			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
$708$	−6.98364	+	4.08290i	−0.262461	+	0.153445i
$709$	15.9100	−	23.8110i	0.597511	−	0.894239i	−0.402262	−	0.915525i	$-0.631776\pi$
$709$	15.9100	−	23.8110i	0.597511	−	0.894239i	0.999773	+	0.0212855i	$0.00677590\pi$
$710$	−7.37079	+	1.70718i	−0.276621	+	0.0640691i
$711$	−1.35880	−	0.339739i	−0.0509589	−	0.0127412i
$712$	3.96991	+	42.2205i	0.148779	+	1.58228i
$713$	−2.40805	+	5.81355i	−0.0901822	+	0.217719i
$714$	19.2371	+	61.8711i	0.719931	+	2.31547i
$715$	−10.6434	+	2.11711i	−0.398041	+	0.0791753i
$716$	−19.1308	−	2.57602i	−0.714952	−	0.0962705i
$717$	4.87864	−	8.61634i	0.182196	−	0.321783i
$718$	−22.4066	−	21.0481i	−0.836206	−	0.785510i
$719$	28.1723	−	28.1723i	1.05065	−	1.05065i	0.0520031	−	0.998647i	$-0.483439\pi$
$719$	28.1723	−	28.1723i	1.05065	−	1.05065i	0.998647	−	0.0520031i	$-0.0165606\pi$
$720$	0.859717	+	11.2388i	0.0320398	+	0.418844i
$721$	−36.5090	−	36.5090i	−1.35967	−	1.35967i
$722$	0.888244	+	28.4138i	0.0330570	+	1.05745i
$723$	6.52501	+	3.69451i	0.242668	+	0.137400i
$724$	−35.6843	−	20.7429i	−1.32620	−	0.770902i
$725$	1.70377	+	8.56545i	0.0632766	+	0.318113i
$726$	9.77493	+	5.13813i	0.362782	+	0.190694i
$727$	33.2387	+	13.7679i	1.23276	+	0.510624i	0.901443	−	0.432897i	$-0.142509\pi$
$727$	33.2387	+	13.7679i	1.23276	+	0.510624i	0.331312	+	0.943521i	$0.392509\pi$
$728$	−29.1478	−	35.8387i	−1.08029	−	1.32827i
$729$	1.35972	+	26.9657i	0.0503600	+	0.998731i
$730$	0.535202	+	0.333905i	0.0198087	+	0.0123584i
$731$	−13.3283	−	8.90565i	−0.492963	−	0.329388i
$732$	28.6992	+	21.7742i	1.06075	+	0.804799i
$733$	−0.576597	+	2.89875i	−0.0212971	+	0.107068i	−0.989972	−	0.141266i	$-0.954883\pi$
$733$	−0.576597	+	2.89875i	−0.0212971	+	0.107068i	0.968675	+	0.248333i	$0.0798828\pi$
$734$	−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
$738$	−37.7673	+	24.2953i	−1.39023	+	0.894322i
$739$	15.9357	+	3.16981i	0.586205	+	0.116603i	0.479277	−	0.877664i	$-0.340899\pi$
$739$	15.9357	+	3.16981i	0.586205	+	0.116603i	0.106927	+	0.994267i	$0.465899\pi$
$740$	−3.21323	−	1.10132i	−0.118121	−	0.0404854i
$741$	48.7432	+	6.00123i	1.79063	+	0.220461i
$742$	−31.4932	−	19.6482i	−1.15615	−	0.721307i
$743$	−2.52412	−	6.09376i	−0.0926009	−	0.223558i	0.870792	−	0.491651i	$-0.163607\pi$
$743$	−2.52412	−	6.09376i	−0.0926009	−	0.223558i	−0.963393	+	0.268093i	$0.913607\pi$
$744$	−9.51311	−	0.273582i	−0.348767	−	0.0100300i
$745$	6.54751	−	15.8071i	0.239882	−	0.579127i
$746$	25.0582	+	35.0778i	0.917446	+	1.28429i
$747$	3.04894	−	6.45365i	0.111555	−	0.236127i
$748$	−36.1756	+	9.57899i	−1.32271	+	0.350243i
$749$	−8.99634	−	13.4640i	−0.328719	−	0.491963i
$750$	18.4321	−	10.0168i	0.673045	−	0.365763i
$751$	6.34929	−	6.34929i	0.231689	−	0.231689i	−0.581708	−	0.813397i	$-0.697616\pi$
$751$	6.34929	−	6.34929i	0.231689	−	0.231689i	0.813397	+	0.581708i	$0.197616\pi$
$752$	11.7272	−	15.0980i	0.427646	−	0.550567i
$753$	−12.0088	−	3.96429i	−0.437624	−	0.144467i
$754$	−9.91290	−	9.31191i	−0.361006	−	0.339120i
$755$	0.504872	+	0.755594i	0.0183742	+	0.0274989i
$756$	17.2982	+	33.1951i	0.629130	+	1.20729i
$757$	0.982414	+	4.93893i	0.0357065	+	0.179509i	0.994523	−	0.104517i	$-0.0333298\pi$
$757$	0.982414	+	4.93893i	0.0357065	+	0.179509i	−0.958817	+	0.284026i	$0.908330\pi$
$758$	−1.83087	−	0.305052i	−0.0665003	−	0.0110800i
$759$	1.05464	+	14.2555i	0.0382811	+	0.517443i
$760$	−15.8761	−	4.89273i	−0.575885	−	0.177478i
$761$	0.816920	+	1.97222i	0.0296133	+	0.0714929i	0.937994	−	0.346650i	$-0.112681\pi$
$761$	0.816920	+	1.97222i	0.0296133	+	0.0714929i	−0.908381	+	0.418143i	$0.862681\pi$
$762$	−25.1486	+	20.9319i	−0.911037	+	0.758284i
$763$	0.449271	+	0.300193i	0.0162647	+	0.0108677i
$764$	−29.8358	+	33.8196i	−1.07942	+	1.22355i
$765$	15.3273	−	13.9039i	0.554161	−	0.502698i
$766$	12.4084	−	5.60015i	0.448335	−	0.202342i
$767$	−10.5891			−0.382351
$768$	−13.7748	−	24.0469i	−0.497056	−	0.867719i
$769$	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
$771$	−15.9533	+	4.41859i	−0.574546	+	0.159132i
$772$	−26.7484	+	30.3199i	−0.962695	+	1.09124i
$773$	1.40232	+	0.937003i	0.0504381	+	0.0337016i	0.580534	−	0.814236i	$-0.302844\pi$
$773$	1.40232	+	0.937003i	0.0504381	+	0.0337016i	−0.530096	+	0.847938i	$0.677844\pi$
$774$	−8.49275	−	3.69227i	−0.305265	−	0.132716i
$775$	3.06121	+	7.39041i	0.109962	+	0.265471i
$776$	23.9281	+	7.37423i	0.858970	+	0.264720i
$777$	−11.2495	+	0.832250i	−0.403572	+	0.0298568i
$778$	−15.0895	−	2.51415i	−0.540986	−	0.0901365i
$779$	−12.9125	−	64.9153i	−0.462637	−	2.32583i
$780$	−6.45347	+	13.2681i	−0.231071	+	0.475074i
$781$	−8.06232	−	12.0661i	−0.288493	−	0.431760i
$782$	24.5193	+	23.0328i	0.876808	+	0.823650i
$783$	6.35153	+	9.00609i	0.226985	+	0.321852i
$784$	18.8704	+	14.6573i	0.673942	+	0.523476i
$785$	−0.920407	+	0.920407i	−0.0328507	+	0.0328507i
$786$	3.45112	+	6.35044i	0.123097	+	0.226513i
$787$	6.41083	+	9.59448i	0.228521	+	0.342006i	0.927956	−	0.372690i	$-0.121565\pi$
$787$	6.41083	+	9.59448i	0.228521	+	0.342006i	−0.699434	+	0.714697i	$0.746565\pi$
$788$	25.5587	−	6.76775i	0.910493	−	0.241091i
$789$	−18.1997	−	23.3104i	−0.647927	−	0.829872i
$790$	0.360499	+	0.504646i	0.0128260	+	0.0179545i
$791$	−10.3443	+	24.9735i	−0.367802	+	0.887954i
$792$	−19.5805	+	9.16544i	−0.695763	+	0.325680i
$793$	18.0456	+	43.5658i	0.640817	+	1.54707i
$794$	2.87544	+	1.79395i	0.102046	+	0.0636649i
$795$	−1.44872	+	11.7668i	−0.0513808	+	0.417325i
$796$	−51.4786	−	17.6441i	−1.82461	−	0.625378i
$797$	−32.1647	−	6.39796i	−1.13933	−	0.226627i	−0.410857	−	0.911700i	$-0.634771\pi$
$797$	−32.1647	−	6.39796i	−1.13933	−	0.226627i	−0.728475	+	0.685072i	$0.759771\pi$
$798$	−54.8653	+	5.78754i	−1.94221	+	0.204877i
$799$	−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
$804$	−4.89857	+	6.45647i	−0.172759	+	0.227702i
$805$	−9.11190	−	6.08838i	−0.321152	−	0.214587i
$806$	−10.5693	−	6.59407i	−0.372289	−	0.232266i
$807$	22.0318	+	18.9964i	0.775555	+	0.668707i
$808$	−10.9415	−	13.4531i	−0.384920	−	0.473279i
$809$	−7.98978	−	3.30947i	−0.280906	−	0.116355i	0.237783	−	0.971318i	$-0.423579\pi$
$809$	−7.98978	−	3.30947i	−0.280906	−	0.116355i	−0.518688	+	0.854963i	$0.673579\pi$
$810$	7.28374	−	9.48034i	0.255924	−	0.333105i
$811$	−3.96977	−	19.9574i	−0.139397	−	0.700798i	−0.985756	−	0.168184i	$-0.946210\pi$
$811$	−3.96977	−	19.9574i	−0.139397	−	0.700798i	0.846358	−	0.532614i	$-0.178790\pi$
$812$	13.2089	+	7.67819i	0.463543	+	0.269452i
$813$	−8.59655	+	15.1827i	−0.301494	+	0.532479i
$814$	−0.203569	−	6.51192i	−0.00713508	−	0.228243i
$815$	0.777839	+	0.777839i	0.0272465	+	0.0272465i
$816$	−19.3531	+	47.0550i	−0.677495	+	1.64726i
$817$	9.65131	−	9.65131i	0.337657	−	0.337657i
$818$	25.7749	+	24.2122i	0.901197	+	0.846560i
$819$	−2.38309	+	48.9396i	−0.0832719	+	1.71009i
$820$	19.7065	+	2.65353i	0.688179	+	0.0926654i
$821$	−32.6906	+	6.50256i	−1.14091	+	0.226941i	−0.729151	−	0.684353i	$-0.760085\pi$
$821$	−32.6906	+	6.50256i	−1.14091	+	0.226941i	−0.411758	+	0.911293i	$0.635085\pi$
$822$	−9.78938	+	3.04374i	−0.341444	+	0.106163i
$823$	−2.24844	+	5.42820i	−0.0783755	+	0.189215i	−0.958211	−	0.286064i	$-0.907653\pi$
$823$	−2.24844	+	5.42820i	−0.0783755	+	0.189215i	0.879835	+	0.475279i	$0.157653\pi$
$824$	−3.79557	−	40.3664i	−0.132225	−	1.40623i
$825$	13.7623	+	11.8663i	0.479143	+	0.413132i
$826$	11.5886	−	2.68408i	0.403220	−	0.0933912i
$827$	14.7088	−	22.0133i	0.511476	−	0.765478i	−0.482403	−	0.875949i	$-0.660236\pi$
$827$	14.7088	−	22.0133i	0.511476	−	0.765478i	0.993879	+	0.110471i	$0.0352361\pi$
$828$	16.3074	+	10.5727i	0.566722	+	0.367425i
$829$	25.1406	+	5.00078i	0.873170	+	0.173684i	0.611281	−	0.791414i	$-0.290654\pi$
$829$	25.1406	+	5.00078i	0.873170	+	0.173684i	0.261889	+	0.965098i	$0.415654\pi$
$830$	−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
$834$	21.1846	+	17.1417i	0.733564	+	0.593570i
$835$	3.80744	−	19.1413i	0.131762	−	0.662412i
$836$	−1.99027	−	31.8021i	−0.0688351	−	1.09990i
$837$	7.31530	+	6.95573i	0.252854	+	0.240425i
$838$	0.936632	+	4.04395i	0.0323554	+	0.139696i
$839$	−15.7155	+	6.50956i	−0.542558	+	0.224735i	−0.637093	−	0.770787i	$-0.719863\pi$
$839$	−15.7155	+	6.50956i	−0.542558	+	0.224735i	0.0945354	+	0.995522i	$0.469863\pi$
$840$	3.69948	−	16.1563i	0.127644	−	0.557445i
$841$	−22.6367	−	9.37643i	−0.780576	−	0.323325i
$842$	−25.1554	−	4.19128i	−0.866913	−	0.144441i
$843$	−13.3648	−	17.1178i	−0.460308	−	0.589568i
$844$	46.9712	+	6.32482i	1.61682	+	0.217709i
$845$	−5.90529	+	3.94579i	−0.203148	+	0.135739i
$846$	−19.9533	+	3.60913i	−0.686009	+	0.124085i
$847$	−11.4823	−	11.4823i	−0.394536	−	0.394536i
$848$	−9.20666	−	27.6566i	−0.316158	−	0.949733i
$849$	−12.1258	−	4.00294i	−0.416158	−	0.137380i
$850$	42.7446	−	1.33624i	1.46613	−	0.0458326i
$851$	−4.86971	+	3.25384i	−0.166932	+	0.111540i
$852$	−19.6948	−	1.18313i	−0.674732	−	0.0405334i
$853$	2.12106	−	0.421905i	0.0726237	−	0.0144458i	−0.158645	−	0.987336i	$-0.550712\pi$
$853$	2.12106	−	0.421905i	0.0726237	−	0.0144458i	0.231268	+	0.972890i	$0.425712\pi$
$854$	−30.7918	−	43.1040i	−1.05367	−	1.47499i
$855$	9.06533	+	15.1098i	0.310028	+	0.516745i
$856$	1.30232	−	12.6489i	0.0445122	−	0.432331i
$857$	23.4049	−	9.69464i	0.799497	−	0.331162i	0.0547419	−	0.998501i	$-0.482566\pi$
$857$	23.4049	−	9.69464i	0.799497	−	0.331162i	0.744755	+	0.667338i	$0.232566\pi$
$858$	−28.1817	−	2.57880i	−0.962109	−	0.0880389i
$859$	17.6737	−	26.4506i	0.603020	−	0.902483i	−0.396862	−	0.917878i	$-0.629901\pi$
$859$	17.6737	−	26.4506i	0.603020	−	0.902483i	0.999881	+	0.0153956i	$0.00490076\pi$
$860$	1.80276	+	3.68297i	0.0614737	+	0.125588i
$861$	63.6380	−	17.6258i	2.16878	−	0.600685i
$862$	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	$0.935596\pi$
$864$	−6.16350	+	28.7404i	−0.209687	+	0.977769i
$865$			20.6519i			0.702186i
$866$	17.7106	−	46.8463i	0.601831	−	1.59190i
$867$	61.6466	−	17.0742i	2.09363	−	0.579872i
$868$	13.2384	+	4.53741i	0.449342	+	0.154010i
$869$	−0.660874	+	0.989068i	−0.0224186	+	0.0335518i
$870$	0.444671	−	4.85947i	0.0150758	−	0.164751i
$871$	−9.80104	+	4.05972i	−0.332096	+	0.137559i
$872$	0.121372	+	0.406575i	0.00411019	+	0.0137684i
$873$	−13.6631	−	22.7733i	−0.462426	−	0.770758i
$874$	−23.3081	+	16.6504i	−0.788410	+	0.563209i
$875$	−30.2547	+	6.01804i	−1.02280	+	0.203447i
$876$	1.09137	+	1.23088i	0.0368741	+	0.0415876i
$877$	8.44144	−	5.64039i	0.285047	−	0.190462i	−0.404824	−	0.914395i	$-0.632667\pi$
$877$	8.44144	−	5.64039i	0.285047	−	0.190462i	0.689871	+	0.723932i	$0.257667\pi$
$878$	1.35101	+	43.2171i	0.0455943	+	1.45851i
$879$	−0.344537	−	0.113737i	−0.0116209	−	0.00383626i
$880$	9.23192	+	2.53212i	0.311208	+	0.0853578i
$881$	3.94922	+	3.94922i	0.133053	+	0.133053i	0.770497	−	0.637444i	$-0.220008\pi$
$881$	3.94922	+	3.94922i	0.133053	+	0.133053i	−0.637444	+	0.770497i	$0.720008\pi$
$882$	−4.51091	−	24.9388i	−0.151890	−	0.839735i
$883$	−20.9460	+	13.9957i	−0.704889	+	0.470992i	−0.855634	−	0.517581i	$-0.826833\pi$
$883$	−20.9460	+	13.9957i	−0.704889	+	0.470992i	0.150745	+	0.988573i	$0.451833\pi$
$884$	−52.9569	+	40.3877i	−1.78113	+	1.35839i
$885$	−2.33807	−	2.99463i	−0.0785935	−	0.100663i
$886$	3.99665	−	23.9873i	0.134270	−	0.805869i
$887$	45.7663	+	18.9570i	1.53668	+	0.636515i	0.980847	−	0.194778i	$-0.0623985\pi$
$887$	45.7663	+	18.9570i	1.53668	+	0.636515i	0.555835	+	0.831292i	$0.312399\pi$
$888$	−7.22060	−	5.13090i	−0.242308	−	0.172182i
$889$	44.4510	−	18.4122i	1.49084	−	0.617526i
$890$	−19.4027	+	4.49392i	−0.650379	+	0.150637i
$891$	21.9492	+	6.63756i	0.735327	+	0.222367i
$892$	13.4230	−	15.2152i	0.449434	−	0.509443i
$893$	5.83044	−	29.3116i	0.195108	−	0.980875i
$894$	28.0658	−	34.6852i	0.938661	−	1.16005i
$895$		−	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
$900$	24.1625	−	5.15499i	0.805418	−	0.171833i
$901$	−29.7318	+	44.4968i	−0.990511	+	1.48240i
$902$	8.60572	+	37.1555i	0.286539	+	1.23714i
$903$	10.3131	+	8.89230i	0.343200	+	0.295917i
$904$	−18.7642	+	9.92324i	−0.624088	+	0.330042i
$905$	7.41825	−	17.9093i	0.246591	−	0.595324i
$906$	0.703603	+	2.26295i	0.0233756	+	0.0751815i
$907$	10.4504	−	2.07872i	0.347000	−	0.0690226i	−0.0185134	−	0.999829i	$-0.505893\pi$
$907$	10.4504	−	2.07872i	0.347000	−	0.0690226i	0.365514	+	0.930806i	$0.380893\pi$
$908$	31.7625	+	41.6473i	1.05408	+	1.38212i
$909$	−0.894563	+	18.3709i	−0.0296708	+	0.609325i
$910$	14.8543	−	15.8130i	0.492415	−	0.524195i
$911$	34.2934	−	34.2934i	1.13619	−	1.13619i	0.147063	−	0.989127i	$-0.453018\pi$
$911$	34.2934	−	34.2934i	1.13619	−	1.13619i	0.989127	−	0.147063i	$-0.0469820\pi$
$912$	−36.0817	−	23.9787i	−1.19478	−	0.794015i
$913$	−4.28643	−	4.28643i	−0.141860	−	0.141860i
$914$	12.8971	−	0.403175i	0.426597	−	0.0133358i
$915$	−8.33610	+	14.7227i	−0.275583	+	0.486717i
$916$	−40.7555	+	10.7917i	−1.34660	+	0.356568i
$917$	−2.07340	−	10.4237i	−0.0684698	−	0.344221i
$918$	48.6135	−	23.4315i	1.60449	−	0.773355i
$919$	−13.3183	−	5.51662i	−0.439330	−	0.181977i	0.152044	−	0.988374i	$-0.451414\pi$
$919$	−13.3183	−	5.51662i	−0.439330	−	0.181977i	−0.591374	+	0.806397i	$0.701414\pi$
$920$	−2.46162	−	8.24596i	−0.0811571	−	0.271861i
$921$	−20.0659	−	17.3014i	−0.661193	−	0.570100i
$922$	3.81532	−	6.11541i	0.125651	−	0.201400i
$923$	−21.4740	−	14.3485i	−0.706826	−	0.472286i
$924$	31.4955	−	4.32117i	1.03613	−	0.142156i
$925$	−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	$-0.396580\pi$
$929$	19.4592			0.638436			0.319218	+	0.947681i	$0.396580\pi$
$930$	−0.468887	−	4.44501i	−0.0153754	−	0.145758i
$931$	36.6354	+	7.28724i	1.20068	+	0.238830i
$932$	3.62695	−	1.77534i	0.118805	−	0.0581531i
$933$	4.95619	−	40.2552i	0.162259	−	1.31790i
$934$	−22.1000	+	35.4231i	−0.723134	+	1.15908i
$935$	−6.72580	−	16.2375i	−0.219957	−	0.531024i
$936$	−25.9525	+	28.4055i	−0.848285	+	0.928464i
$937$	−10.6757	+	25.7735i	−0.348761	+	0.841983i	0.648006	+	0.761635i	$0.275603\pi$
$937$	−10.6757	+	25.7735i	−0.348761	+	0.841983i	−0.996767	+	0.0803478i	$0.974397\pi$
$938$	9.69713	−	6.92725i	0.316623	−	0.226183i
$939$	6.36440	+	8.15160i	0.207694	+	0.266017i
$940$	7.76233	+	4.51215i	0.253179	+	0.147170i
$941$	32.4945	+	48.6315i	1.05929	+	1.58534i	0.780672	+	0.624941i	$0.214877\pi$
$941$	32.4945	+	48.6315i	1.05929	+	1.58534i	0.278619	+	0.960402i	$0.410123\pi$
$942$	−2.98247	+	1.62081i	−0.0971742	+	0.0528088i
$943$	24.2433	−	24.2433i	0.789470	−	0.789470i
$944$	8.35322	+	4.18076i	0.271874	+	0.136072i
$945$	−14.3665	+	10.1319i	−0.467341	+	0.329591i
$946$	−5.38491	+	5.73245i	−0.175078	+	0.186378i
$947$	8.69946	+	13.0197i	0.282695	+	0.423082i	0.945457	−	0.325748i	$-0.105616\pi$
$947$	8.69946	+	13.0197i	0.282695	+	0.423082i	−0.662762	+	0.748830i	$0.730616\pi$
$948$	0.528202	+	1.52862i	0.0171552	+	0.0496472i
$949$	0.420094	+	2.11196i	0.0136368	+	0.0685570i
$950$	−5.98462	+	35.9188i	−0.194167	+	1.16536i
$951$	−24.2814	+	1.79637i	−0.787378	+	0.0582512i
$952$	47.7182	−	57.6233i	1.54656	−	1.86758i
$953$	1.68056	+	4.05724i	0.0544388	+	0.131427i	0.948759	−	0.316001i	$-0.102340\pi$
$953$	1.68056	+	4.05724i	0.0544388	+	0.131427i	−0.894320	+	0.447428i	$0.852340\pi$
$954$	−12.3268	+	28.3533i	−0.399093	+	0.917972i
$955$	−17.6112	−	11.7674i	−0.569885	−	0.380785i
$956$	−11.4111	+	0.714142i	−0.369061	+	0.0230970i
$957$	9.02006	−	2.49828i	0.291577	−	0.0807579i
$958$	11.8324	+	26.2173i	0.382287	+	0.847044i
$959$	15.0746			0.486786
$960$	10.3293	−	7.91859i	0.333376	−	0.255571i
$961$	−27.2261			−0.878261
$962$	−4.76972	−	10.5684i	−0.153782	−	0.340739i
$963$	−9.98939	+	9.06171i	−0.321904	+	0.292009i
$964$	−0.540808	−	8.64144i	−0.0174182	−	0.278322i
$965$	−15.7888	−	10.5497i	−0.508259	−	0.339608i
$966$	−18.2823	−	21.9652i	−0.588223	−	0.706718i
$967$	−5.40721	−	13.0542i	−0.173884	−	0.419793i	0.812778	−	0.582573i	$-0.197954\pi$
$967$	−5.40721	−	13.0542i	−0.173884	−	0.419793i	−0.986662	+	0.162780i	$0.947954\pi$
$968$	−1.19373	−	12.6955i	−0.0383679	−	0.408047i
$969$	5.86834	+	79.3220i	0.188518	+	2.54819i
$970$	−1.93265	+	11.5995i	−0.0620538	+	0.372437i
$971$	6.98383	+	35.1101i	0.224122	+	1.12674i	0.914903	+	0.403673i	$0.132267\pi$
$971$	6.98383	+	35.1101i	0.224122	+	1.12674i	−0.690781	+	0.723064i	$0.742733\pi$
$972$	25.2269	−	18.3194i	0.809154	−	0.587596i
$973$	−22.2627	−	33.3185i	−0.713709	−	1.06814i
$974$	−1.12544	+	1.19808i	−0.0360615	+	0.0383889i
$975$	30.7100	+	10.1379i	0.983508	+	0.324672i
$976$	2.96531	−	41.4916i	0.0949172	−	1.32811i
$977$	8.83268	−	8.83268i	0.282583	−	0.282583i	−0.551556	−	0.834138i	$-0.685966\pi$
$977$	8.83268	−	8.83268i	0.282583	−	0.282583i	0.834138	+	0.551556i	$0.185966\pi$
$978$	1.36975	+	2.52049i	0.0437998	+	0.0805965i
$979$	−21.2230	−	31.7625i	−0.678291	−	1.01513i
$980$	−5.63956	+	9.70183i	−0.180149	+	0.309913i
$981$	0.192243	−	0.406917i	0.00613784	−	0.0129919i
$982$	−31.6191	+	22.5875i	−1.00901	+	0.720795i
$983$	−2.94357	+	7.10640i	−0.0938852	+	0.226659i	−0.963845	−	0.266464i	$-0.914145\pi$
$983$	−2.94357	+	7.10640i	−0.0938852	+	0.226659i	0.869960	+	0.493123i	$0.164145\pi$
$984$	47.3166	+	21.2126i	1.50840	+	0.676234i
$985$	4.75191	+	11.4721i	0.151408	+	0.365532i
$986$	11.6593	−	18.6883i	0.371309	−	0.595155i
$987$	29.5932	+	3.64349i	0.941962	+	0.115974i
$988$	−24.9316	−	50.9343i	−0.793180	−	1.62044i
$989$	6.93440	+	1.37934i	0.220501	+	0.0438604i
$990$	−5.49323	−	8.53928i	−0.174586	−	0.271396i
$991$	−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
$996$	−8.16533	+	1.12028i	−0.258728	+	0.0354974i
$997$	34.8391	+	23.2787i	1.10337	+	0.737245i	0.967346	−	0.253461i	$-0.0815690\pi$
$997$	34.8391	+	23.2787i	1.10337	+	0.737245i	0.136020	+	0.990706i	$0.456569\pi$
$998$	25.4422	−	40.7802i	0.805360	−	1.29088i
$999$	2.06445	+	9.16565i	0.0653162	+	0.289988i

Twists

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

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
192.2.s.a.11.5	✓	240	64.11	odd	16	inner
192.2.s.a.11.26	yes	240	192.11	even	16	inner
192.2.s.a.35.5	yes	240	3.2	odd	2	inner
192.2.s.a.35.26	yes	240	1.1	even	1	trivial
768.2.s.a.47.13		240	4.3	odd	2
768.2.s.a.47.21		240	12.11	even	2
768.2.s.a.719.13		240	192.53	odd	16
768.2.s.a.719.21		240	64.53	even	16

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)

\(f(q)\)	\(=\)	\(q+(1.28901 - 0.581756i) q^{2} +(0.462320 + 1.66921i) q^{3} +(1.32312 - 1.49979i) q^{4} +(0.780999 + 0.521847i) q^{5} +(1.56701 + 1.88268i) q^{6} +(-1.37838 - 3.32770i) q^{7} +(0.833011 - 2.70298i) q^{8} +(-2.57252 + 1.54342i) q^{9} +O(q^{10})\)	\(q+(1.28901 - 0.581756i) q^{2} +(0.462320 + 1.66921i) q^{3} +(1.32312 - 1.49979i) q^{4} +(0.780999 + 0.521847i) q^{5} +(1.56701 + 1.88268i) q^{6} +(-1.37838 - 3.32770i) q^{7} +(0.833011 - 2.70298i) q^{8} +(-2.57252 + 1.54342i) q^{9} +(1.31031 + 0.218317i) q^{10} +(0.497066 + 2.49892i) q^{11} +(3.11516 + 1.51518i) q^{12} +(2.51920 + 3.77025i) q^{13} +(-3.71266 - 3.48758i) q^{14} +(-0.510000 + 1.54491i) q^{15} +(-0.498711 - 3.96879i) q^{16} +(-5.19286 + 5.19286i) q^{17} +(-2.41812 + 3.48607i) q^{18} +(-3.47404 - 5.19927i) q^{19} +(1.81601 - 0.480865i) q^{20} +(4.91738 - 3.83927i) q^{21} +(2.09449 + 2.93198i) q^{22} +(1.23957 - 2.99257i) q^{23} +(4.89695 + 0.140828i) q^{24} +(-1.57578 - 3.80427i) q^{25} +(5.44066 + 3.39435i) q^{26} +(-3.76562 - 3.58052i) q^{27} +(-6.81460 - 2.33567i) q^{28} +(-2.08015 - 0.413767i) q^{29} +(0.241364 + 2.28811i) 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} +(-1.08896 + 5.90035i) q^{36} +(-1.50340 - 1.00454i) q^{37} +(-7.50281 - 4.68090i) q^{38} +(-5.12867 + 5.94814i) q^{39} +(2.06112 - 1.67632i) q^{40} +(9.77894 + 4.05057i) q^{41} +(4.10506 - 7.80959i) q^{42} +(0.425834 + 2.14081i) q^{43} +(4.40552 + 2.56088i) q^{44} +(-2.81456 - 0.137054i) q^{45} +(-0.143131 - 4.57860i) q^{46} +(3.37951 + 3.37951i) q^{47} +(6.39418 - 2.66730i) q^{48} +(-4.22392 + 4.22392i) q^{49} +(-4.24437 - 3.98705i) q^{50} +(-11.0687 - 6.26721i) q^{51} +(8.98778 + 1.21023i) q^{52} +(7.14718 - 1.42166i) q^{53} +(-6.93693 - 2.42468i) q^{54} +(-0.915845 + 2.21105i) q^{55} +(-10.1429 + 0.953718i) q^{56} +(7.07256 - 8.20264i) q^{57} +(-2.92205 + 0.676786i) q^{58} +(-1.29740 + 1.94170i) q^{59} +(1.64224 + 2.80899i) 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} +(-3.92576 + 4.85165i) q^{66} +(-0.456424 + 2.29460i) q^{67} +(0.917403 + 14.6590i) q^{68} +(5.56831 + 0.685566i) q^{69} +(-1.07960 - 4.66123i) q^{70} +(-5.26208 + 2.17963i) q^{71} +(2.02889 + 8.23915i) q^{72} +(0.438735 + 0.181730i) q^{73} +(-2.52230 - 0.420254i) q^{74} +(5.62162 - 4.38910i) q^{75} +(-12.3944 - 1.66894i) q^{76} +(7.63052 - 5.09855i) q^{77} +(-3.15056 + 10.6509i) q^{78} +(0.330131 + 0.330131i) q^{79} +(1.68161 - 3.35987i) q^{80} +(4.23572 - 7.94095i) q^{81} +(14.9617 - 0.467716i) q^{82} +(-1.97824 + 1.32182i) q^{83} +(0.748203 - 12.4548i) q^{84} +(-6.76550 + 1.34574i) q^{85} +(1.79434 + 2.51181i) q^{86} +(-0.271030 - 3.66349i) q^{87} +(7.16859 + 0.738069i) q^{88} +(-13.8518 + 5.73759i) q^{89} +(-3.70774 + 1.46072i) q^{90} +(9.07386 - 13.5800i) q^{91} +(-2.84813 - 5.81861i) q^{92} +(-0.898130 - 3.24270i) q^{93} +(6.32230 + 2.39019i) q^{94} -5.87354i q^{95} +(6.69047 - 7.15805i) q^{96} +8.85251i q^{97} +(-2.98740 + 7.90199i) q^{98} +(-5.13559 - 5.66134i) 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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