LMFDB - Embedded newform 296.2.bj.a.19.1

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [296,2,Mod(19,296)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(296, base_ring=CyclotomicField(36)) chi = DirichletCharacter(H, H._module([18, 18, 35])) N = Newforms(chi, 2, names="a")

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("296.19"); S:= CuspForms(chi, 2); N := Newforms(S);

Level:	$ N $	$=$	$ 296 = 2^{3} \cdot 37 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	296.bj (of order $36$, degree $12$, minimal)

Newform invariants

comment:select newform

sage:traces = [] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(0)] == traces)

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

Self dual:	no
Analytic conductor:	$2.36357189983$
Analytic rank:	$0$
Dimension:	$432$
Relative dimension:	$36$ over $\Q(\zeta_{36})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{36}]$

Embedding invariants

Embedding label			19.1
Character	$\chi$	$=$	296.19
Dual form			296.2.bj.a.187.1

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-1.41357 + 0.0427573i) q^{2} +(-1.57411 - 1.87595i) q^{3} +(1.99634 - 0.120881i) q^{4} +(-0.992822 + 0.462961i) q^{5} +(2.30532 + 2.58448i) q^{6} +(1.70316 - 4.67940i) q^{7} +(-2.81680 + 0.256231i) q^{8} +(-0.520428 + 2.95149i) q^{9} +(1.38363 - 0.696876i) q^{10} +(1.48403 + 0.856803i) q^{11} +(-3.36923 - 3.55477i) q^{12} +(-2.26781 - 1.58794i) q^{13} +(-2.20746 + 6.68747i) q^{14} +(2.43130 + 1.13374i) q^{15} +(3.97078 - 0.482638i) q^{16} +(0.847958 - 0.593747i) q^{17} +(0.609462 - 4.19439i) q^{18} +(-0.870934 - 0.0761968i) q^{19} +(-1.92605 + 1.04424i) q^{20} +(-11.4593 + 4.17085i) q^{21} +(-2.13440 - 1.14770i) q^{22} +(-5.02643 - 1.34683i) q^{23} +(4.91463 + 4.88084i) q^{24} +(-2.44257 + 2.91095i) q^{25} +(3.27360 + 2.14770i) q^{26} +(-0.00630947 + 0.00364278i) q^{27} +(2.83445 - 9.54758i) q^{28} +(-7.67944 + 2.05770i) q^{29} +(-3.48529 - 1.49866i) q^{30} +(0.110707 + 0.110707i) q^{31} +(-5.59232 + 0.852021i) q^{32} +(-0.728700 - 4.13267i) q^{33} +(-1.17326 + 0.875557i) q^{34} +(0.475441 + 5.43431i) q^{35} +(-0.682175 + 5.95510i) q^{36} +(-5.16927 - 3.20603i) q^{37} +(1.23438 + 0.0704706i) q^{38} +(0.590891 + 6.75391i) q^{39} +(2.67795 - 1.55846i) q^{40} +(8.27623 - 1.45932i) q^{41} +(16.0202 - 6.38574i) q^{42} +(2.92475 + 2.92475i) q^{43} +(3.06620 + 1.53108i) q^{44} +(-0.849733 - 3.17125i) q^{45} +(7.16279 + 1.68892i) q^{46} +(6.55024 - 3.78178i) q^{47} +(-7.15585 - 6.68926i) q^{48} +(-13.6337 - 11.4401i) q^{49} +(3.32828 - 4.21926i) q^{50} +(-2.44862 - 0.656106i) q^{51} +(-4.71929 - 2.89594i) q^{52} +(2.33652 + 6.41953i) q^{53} +(0.00876311 - 0.00541908i) q^{54} +(-1.87004 - 0.163607i) q^{55} +(-3.59846 + 13.6173i) q^{56} +(1.22800 + 1.75377i) q^{57} +(10.7674 - 3.23705i) q^{58} +(-1.70824 - 0.796566i) q^{59} +(4.99077 + 1.96943i) q^{60} +(7.75948 - 11.0817i) q^{61} +(-0.161225 - 0.151758i) q^{62} +(12.9249 + 7.46217i) q^{63} +(7.86869 - 1.44350i) q^{64} +(2.98669 + 0.526634i) q^{65} +(1.20677 + 5.81064i) q^{66} +(3.08329 - 8.47128i) q^{67} +(1.62104 - 1.28782i) q^{68} +(5.38558 + 11.5494i) q^{69} +(-0.904424 - 7.66144i) q^{70} +(-6.09131 - 7.25934i) q^{71} +(0.709676 - 8.44711i) q^{72} +14.6132i q^{73} +(7.44420 + 4.31091i) q^{74} +9.30568 q^{75} +(-1.74789 - 0.0468361i) q^{76} +(6.53687 - 5.48508i) q^{77} +(-1.12404 - 9.52184i) q^{78} +(-2.21646 + 1.03355i) q^{79} +(-3.71883 + 2.31749i) q^{80} +(8.46561 + 3.08123i) q^{81} +(-11.6366 + 2.41672i) q^{82} +(1.21895 - 6.91304i) q^{83} +(-22.3725 + 9.71165i) q^{84} +(-0.566990 + 0.982056i) q^{85} +(-4.25939 - 4.00928i) q^{86} +(15.9484 + 11.1672i) q^{87} +(-4.39974 - 2.03319i) q^{88} +(-2.26133 + 4.84944i) q^{89} +(1.33675 + 4.44644i) q^{90} +(-11.2931 + 7.90750i) q^{91} +(-10.1973 - 2.08113i) q^{92} +(0.0334159 - 0.381946i) q^{93} +(-9.09751 + 5.62588i) q^{94} +(0.899958 - 0.327558i) q^{95} +(10.4013 + 9.14976i) q^{96} +(-1.87348 + 6.99194i) q^{97} +(19.7614 + 15.5884i) q^{98} +(-3.30118 + 3.93419i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 432 q - 12 q^{2} - 24 q^{3} - 18 q^{4} - 12 q^{6} - 6 q^{8} - 24 q^{9} - 6 q^{10} - 36 q^{11} - 12 q^{12} - 12 q^{14} + 18 q^{16} - 24 q^{17} - 42 q^{18} - 24 q^{19} - 12 q^{20} - 24 q^{22} - 84 q^{24}+ \cdots - 132 q^{99}+O(q^{100}) $ 432 * q - 12 * q^2 - 24 * q^3 - 18 * q^4 - 12 * q^6 - 6 * q^8 - 24 * q^9 - 6 * q^10 - 36 * q^11 - 12 * q^12 - 12 * q^14 + 18 * q^16 - 24 * q^17 - 42 * q^18 - 24 * q^19 - 12 * q^20 - 24 * q^22 - 84 * q^24 - 12 * q^25 - 6 * q^26 - 36 * q^27 - 12 * q^28 - 36 * q^30 - 42 * q^32 - 60 * q^33 - 12 * q^34 - 24 * q^35 + 60 * q^38 - 12 * q^40 - 24 * q^41 - 12 * q^42 - 6 * q^44 + 48 * q^46 - 18 * q^48 + 24 * q^49 - 42 * q^50 + 96 * q^51 - 42 * q^52 - 72 * q^54 - 12 * q^56 - 24 * q^57 + 48 * q^58 - 24 * q^59 + 144 * q^60 - 72 * q^62 + 108 * q^64 - 84 * q^65 - 168 * q^66 - 24 * q^67 - 18 * q^68 - 186 * q^70 + 234 * q^72 - 150 * q^74 - 48 * q^75 + 42 * q^76 - 222 * q^78 + 120 * q^80 - 60 * q^81 - 24 * q^82 - 24 * q^83 + 126 * q^84 - 54 * q^86 - 24 * q^89 + 72 * q^90 - 24 * q^91 + 114 * q^92 - 24 * q^94 + 72 * q^96 - 24 * q^97 - 114 * q^98 - 132 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/296\mathbb{Z}\right)^\times$.

$n$	$113$	$149$	$223$
$\chi(n)$	$e\left(\frac{35}{36}\right)$	$-1$	$-1$

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 $

$2$	−1.41357	+	0.0427573i	−0.999543	+	0.0302340i
$2$	−1.41357	+	0.0427573i	−0.999543	+	0.0302340i
$3$	−1.57411	−	1.87595i	−0.908814	−	1.08308i	−0.996216	−	0.0869088i	$-0.972301\pi$
$3$	−1.57411	−	1.87595i	−0.908814	−	1.08308i	0.0874027	−	0.996173i	$-0.472143\pi$
$4$	1.99634	−	0.120881i	0.998172	−	0.0604403i
$5$	−0.992822	+	0.462961i	−0.444004	+	0.207042i	−0.631745	−	0.775176i	$-0.717661\pi$
$5$	−0.992822	+	0.462961i	−0.444004	+	0.207042i	0.187742	+	0.982218i	$0.439883\pi$
$6$	2.30532	+	2.58448i	0.941144	+	1.05511i
$7$	1.70316	−	4.67940i	0.643735	−	1.76865i	0.00407397	−	0.999992i	$-0.498703\pi$
$7$	1.70316	−	4.67940i	0.643735	−	1.76865i	0.639661	−	0.768657i	$-0.279075\pi$
$8$	−2.81680	+	0.256231i	−0.995888	+	0.0905913i
$9$	−0.520428	+	2.95149i	−0.173476	+	0.983831i
$10$	1.38363	−	0.696876i	0.437541	−	0.220372i
$11$	1.48403	+	0.856803i	0.447451	+	0.258336i	0.706753	−	0.707460i	$-0.250159\pi$
$11$	1.48403	+	0.856803i	0.447451	+	0.258336i	−0.259302	+	0.965796i	$0.583493\pi$
$12$	−3.36923	−	3.55477i	−0.972614	−	1.02617i
$13$	−2.26781	−	1.58794i	−0.628979	−	0.440416i	0.215132	−	0.976585i	$-0.430982\pi$
$13$	−2.26781	−	1.58794i	−0.628979	−	0.440416i	−0.844110	+	0.536169i	$0.819871\pi$
$14$	−2.20746	+	6.68747i	−0.589968	+	1.78730i
$15$	2.43130	+	1.13374i	0.627760	+	0.292729i
$16$	3.97078	−	0.482638i	0.992694	−	0.120660i
$17$	0.847958	−	0.593747i	0.205660	−	0.144005i	−0.466209	−	0.884675i	$-0.654381\pi$
$17$	0.847958	−	0.593747i	0.205660	−	0.144005i	0.671869	+	0.740670i	$0.265492\pi$
$18$	0.609462	−	4.19439i	0.143652	−	0.988626i
$19$	−0.870934	−	0.0761968i	−0.199806	−	0.0174807i	−0.0131866	−	0.999913i	$-0.504198\pi$
$19$	−0.870934	−	0.0761968i	−0.199806	−	0.0174807i	−0.186619	+	0.982432i	$0.559753\pi$
$20$	−1.92605	+	1.04424i	−0.430678	+	0.233499i
$21$	−11.4593	+	4.17085i	−2.50063	+	0.910154i
$22$	−2.13440	−	1.14770i	−0.455057	−	0.244689i
$23$	−5.02643	−	1.34683i	−1.04808	−	0.280833i	−0.306624	−	0.951831i	$-0.599199\pi$
$23$	−5.02643	−	1.34683i	−1.04808	−	0.280833i	−0.741460	+	0.670998i	$0.765866\pi$
$24$	4.91463	+	4.88084i	1.00319	+	0.996298i
$25$	−2.44257	+	2.91095i	−0.488515	+	0.582189i
$26$	3.27360	+	2.14770i	0.642007	+	0.421198i
$27$	−0.00630947	+	0.00364278i	−0.00121426	+	0.000701052i
$28$	2.83445	−	9.54758i	0.535661	−	1.80432i
$29$	−7.67944	+	2.05770i	−1.42604	+	0.382105i	−0.887621	−	0.460575i	$-0.847643\pi$
$29$	−7.67944	+	2.05770i	−1.42604	+	0.382105i	−0.538415	+	0.842680i	$0.680977\pi$
$30$	−3.48529	−	1.49866i	−0.636324	−	0.273616i
$31$	0.110707	+	0.110707i	0.0198835	+	0.0198835i	0.716979	−	0.697095i	$-0.245524\pi$
$31$	0.110707	+	0.110707i	0.0198835	+	0.0198835i	−0.697095	+	0.716979i	$0.745524\pi$
$32$	−5.59232	+	0.852021i	−0.988592	+	0.150617i
$33$	−0.728700	−	4.13267i	−0.126850	−	0.719405i
$34$	−1.17326	+	0.875557i	−0.201212	+	0.150157i
$35$	0.475441	+	5.43431i	0.0803642	+	0.918567i
$36$	−0.682175	+	5.95510i	−0.113696	+	0.992517i
$37$	−5.16927	−	3.20603i	−0.849824	−	0.527067i
$37$	−5.16927	−	3.20603i	−0.849824	−	0.527067i
$38$	1.23438	+	0.0704706i	0.200243	+	0.0114318i
$39$	0.590891	+	6.75391i	0.0946182	+	1.08149i
$40$	2.67795	−	1.55846i	0.423422	−	0.246414i
$41$	8.27623	−	1.45932i	1.29253	−	0.227908i	0.515237	−	0.857047i	$-0.327704\pi$
$41$	8.27623	−	1.45932i	1.29253	−	0.227908i	0.777292	+	0.629140i	$0.216593\pi$
$42$	16.0202	−	6.38574i	2.47197	−	0.985341i
$43$	2.92475	+	2.92475i	0.446020	+	0.446020i	0.894029	−	0.448009i	$-0.147867\pi$
$43$	2.92475	+	2.92475i	0.446020	+	0.446020i	−0.448009	+	0.894029i	$0.647867\pi$
$44$	3.06620	+	1.53108i	0.462246	+	0.230819i
$45$	−0.849733	−	3.17125i	−0.126671	−	0.472741i
$46$	7.16279	+	1.68892i	1.05610	+	0.249017i
$47$	6.55024	−	3.78178i	0.955451	−	0.551630i	0.0606811	−	0.998157i	$-0.480673\pi$
$47$	6.55024	−	3.78178i	0.955451	−	0.551630i	0.894770	+	0.446527i	$0.147339\pi$
$48$	−7.15585	−	6.68926i	−1.03286	−	0.965512i
$49$	−13.6337	−	11.4401i	−1.94768	−	1.63430i
$50$	3.32828	−	4.21926i	0.470690	−	0.596693i
$51$	−2.44862	−	0.656106i	−0.342876	−	0.0918732i
$52$	−4.71929	−	2.89594i	−0.654448	−	0.401595i
$53$	2.33652	+	6.41953i	0.320946	+	0.881791i	0.990312	+	0.138859i	$0.0443434\pi$
$53$	2.33652	+	6.41953i	0.320946	+	0.881791i	−0.669367	+	0.742932i	$0.733434\pi$
$54$	0.00876311	−	0.00541908i	0.00119251	−	0.000737444i
$55$	−1.87004	−	0.163607i	−0.252156	−	0.0220608i
$56$	−3.59846	+	13.6173i	−0.480864	+	1.81969i
$57$	1.22800	+	1.75377i	0.162653	+	0.232293i
$58$	10.7674	−	3.23705i	1.41383	−	0.425045i
$59$	−1.70824	−	0.796566i	−0.222394	−	0.103704i	0.308228	−	0.951312i	$-0.400264\pi$
$59$	−1.70824	−	0.796566i	−0.222394	−	0.103704i	−0.530622	+	0.847608i	$0.678042\pi$
$60$	4.99077	+	1.96943i	0.644305	+	0.254252i
$61$	7.75948	−	11.0817i	0.993500	−	1.41887i	0.0872195	−	0.996189i	$-0.472202\pi$
$61$	7.75948	−	11.0817i	0.993500	−	1.41887i	0.906281	−	0.422676i	$-0.138909\pi$
$62$	−0.161225	−	0.151758i	−0.0204756	−	0.0192733i
$63$	12.9249	+	7.46217i	1.62838	+	0.940145i
$64$	7.86869	−	1.44350i	0.983586	−	0.180438i
$65$	2.98669	+	0.526634i	0.370453	+	0.0653209i
$66$	1.20677	+	5.81064i	0.148543	+	0.715241i
$67$	3.08329	−	8.47128i	0.376684	−	1.03493i	−0.596037	−	0.802957i	$-0.703259\pi$
$67$	3.08329	−	8.47128i	0.376684	−	1.03493i	0.972722	−	0.231975i	$-0.0745188\pi$
$68$	1.62104	−	1.28782i	0.196580	−	0.156172i
$69$	5.38558	+	11.5494i	0.648347	+	1.39039i
$70$	−0.904424	−	7.66144i	−0.108099	−	0.915717i
$71$	−6.09131	−	7.25934i	−0.722906	−	0.861525i	0.272004	−	0.962296i	$-0.412314\pi$
$71$	−6.09131	−	7.25934i	−0.722906	−	0.861525i	−0.994910	+	0.100771i	$0.967869\pi$
$72$	0.709676	−	8.44711i	0.0836361	−	0.995501i
$73$			14.6132i			1.71034i	0.518344	+	0.855172i	$0.326549\pi$
$73$			14.6132i			1.71034i	−0.518344	+	0.855172i	$0.673451\pi$
$74$	7.44420	+	4.31091i	0.865370	+	0.501133i
$75$	9.30568			1.07453
$76$	−1.74789	−	0.0468361i	−0.200497	−	0.00537247i
$77$	6.53687	−	5.48508i	0.744945	−	0.625083i
$78$	−1.12404	−	9.52184i	−0.127273	−	1.07814i
$79$	−2.21646	+	1.03355i	−0.249371	+	0.116283i	−0.543285	−	0.839548i	$-0.682820\pi$
$79$	−2.21646	+	1.03355i	−0.249371	+	0.116283i	0.293914	+	0.955832i	$0.405042\pi$
$80$	−3.71883	+	2.31749i	−0.415778	+	0.259103i
$81$	8.46561	+	3.08123i	0.940624	+	0.342359i
$82$	−11.6366	+	2.41672i	−1.28505	+	0.266882i
$83$	1.21895	−	6.91304i	0.133798	−	0.758804i	−0.841892	−	0.539646i	$-0.818558\pi$
$83$	1.21895	−	6.91304i	0.133798	−	0.758804i	0.975689	−	0.219158i	$-0.0703310\pi$
$84$	−22.3725	+	9.71165i	−2.44104	+	1.05963i
$85$	−0.566990	+	0.982056i	−0.0614987	+	0.106519i
$86$	−4.25939	−	4.00928i	−0.459301	−	0.432331i
$87$	15.9484	+	11.1672i	1.70985	+	1.19725i
$88$	−4.39974	−	2.03319i	−0.469014	−	0.216738i
$89$	−2.26133	+	4.84944i	−0.239700	+	0.514039i	−0.988950	−	0.148248i	$-0.952637\pi$
$89$	−2.26133	+	4.84944i	−0.239700	+	0.514039i	0.749250	+	0.662288i	$0.230414\pi$
$90$	1.33675	+	4.44644i	0.140906	+	0.468696i
$91$	−11.2931	+	7.90750i	−1.18384	+	0.828931i
$92$	−10.1973	−	2.08113i	−1.06314	−	0.216973i
$93$	0.0334159	−	0.381946i	0.00346507	−	0.0396059i
$94$	−9.09751	+	5.62588i	−0.938336	+	0.580265i
$95$	0.899958	−	0.327558i	0.0923338	−	0.0336067i
$96$	10.4013	+	9.14976i	1.06158	+	0.933843i
$97$	−1.87348	+	6.99194i	−0.190223	+	0.709924i	0.803228	+	0.595671i	$0.203114\pi$
$97$	−1.87348	+	6.99194i	−0.190223	+	0.709924i	−0.993452	+	0.114252i	$0.963553\pi$
$98$	19.7614	+	15.5884i	1.99620	+	1.57466i
$99$	−3.30118	+	3.93419i	−0.331781	+	0.395401i
$100$	−4.52434	+	6.10651i	−0.452434	+	0.610651i
$101$	−5.26797	−	9.12439i	−0.524183	−	0.907911i	−0.999604	−	0.0281524i	$-0.991038\pi$
$101$	−5.26797	−	9.12439i	−0.524183	−	0.907911i	0.475421	−	0.879758i	$-0.342296\pi$
$102$	3.48934	+	0.822753i	0.345496	+	0.0814647i
$103$	3.10739	−	0.832623i	0.306180	−	0.0820408i	−0.102458	−	0.994737i	$-0.532671\pi$
$103$	3.10739	−	0.832623i	0.306180	−	0.0820408i	0.408638	+	0.912697i	$0.366004\pi$
$104$	6.79485	+	3.89182i	0.666290	+	0.381625i
$105$	9.44612	−	9.44612i	0.921847	−	0.921847i
$106$	−3.57731	−	8.97454i	−0.347459	−	0.871684i
$107$	−1.76424	−	10.0055i	−0.170556	−	0.967268i	−0.943150	−	0.332368i	$-0.892152\pi$
$107$	−1.76424	−	10.0055i	−0.170556	−	0.967268i	0.772594	−	0.634900i	$-0.218959\pi$
$108$	−0.0121555	+	0.00803492i	−0.00116967	+	0.000773161i
$109$	13.9716	−	1.22236i	1.33824	−	0.117081i	0.604549	−	0.796568i	$-0.293353\pi$
$109$	13.9716	−	1.22236i	1.33824	−	0.117081i	0.733687	+	0.679487i	$0.237798\pi$
$110$	2.65042	+	0.151312i	0.252708	+	0.0144270i
$111$	2.12266	+	14.7440i	0.201474	+	1.39943i
$112$	4.50442	−	19.4029i	0.425628	−	1.83340i
$113$	−12.8118	+	1.12089i	−1.20523	+	0.105444i	−0.672017	−	0.740536i	$-0.734572\pi$
$113$	−12.8118	+	1.12089i	−1.20523	+	0.105444i	−0.533215	+	0.845980i	$0.679016\pi$
$114$	−1.81085	−	2.42657i	−0.169602	−	0.227269i
$115$	5.61388	−	0.989879i	0.523497	−	0.0923067i
$116$	−15.0821	+	5.03617i	−1.40033	+	0.467597i
$117$	5.86703	−	5.86703i	0.542407	−	0.542407i
$118$	2.44877	+	1.05296i	0.225428	+	0.0969329i
$119$	−1.33417	−	4.97919i	−0.122303	−	0.456441i
$120$	−7.13899	−	2.57053i	−0.651698	−	0.234656i
$121$	−4.03178	−	6.98324i	−0.366525	−	0.634840i
$122$	−10.4947	+	15.9965i	−0.950148	+	1.44825i
$123$	−15.7653	−	13.2287i	−1.42151	−	1.19279i
$124$	0.234391	+	0.207627i	0.0210490	+	0.0186454i
$125$	2.49502	−	9.31152i	0.223161	−	0.832848i
$126$	−18.5892	−	9.99565i	−1.65606	−	0.890483i
$127$	−5.74539	−	15.7853i	−0.509821	−	1.40072i	−0.881422	−	0.472330i	$-0.843413\pi$
$127$	−5.74539	−	15.7853i	−0.509821	−	1.40072i	0.371601	−	0.928393i	$-0.378809\pi$
$128$	−11.0612	+	2.37693i	−0.977681	+	0.210093i
$129$	0.882811	−	10.0906i	0.0777272	−	0.888426i
$130$	−4.24441	−	0.616730i	−0.372259	−	0.0540908i
$131$	−5.26052	−	7.51281i	−0.459614	−	0.656397i	0.520723	−	0.853725i	$-0.325662\pi$
$131$	−5.26052	−	7.51281i	−0.459614	−	0.656397i	−0.980337	+	0.197329i	$0.936773\pi$
$132$	−1.95430	−	8.16213i	−0.170100	−	0.710423i
$133$	−1.83990	+	3.94567i	−0.159539	+	0.342133i
$134$	−3.99623	+	12.1066i	−0.345222	+	1.04585i
$135$	0.00457772	−	0.00653766i	0.000393988	−	0.000562673i
$136$	−2.23639	+	1.88974i	−0.191769	+	0.162044i
$137$	6.17486	−	10.6952i	0.527554	−	0.913751i	−0.471930	−	0.881636i	$-0.656443\pi$
$137$	6.17486	−	10.6952i	0.527554	−	0.913751i	0.999484	−	0.0321146i	$-0.0102241\pi$
$138$	−8.10670	−	16.0956i	−0.690088	−	1.37015i
$139$	18.4794	+	3.25841i	1.56740	+	0.276375i	0.888857	−	0.458185i	$-0.151500\pi$
$139$	18.4794	+	3.25841i	1.56740	+	0.276375i	0.678543	+	0.734560i	$0.262612\pi$
$140$	1.60605	+	10.7913i	0.135736	+	0.912030i
$141$	−17.4053	−	6.33500i	−1.46579	−	0.533503i
$142$	8.92087	+	10.0011i	0.748622	+	0.839275i
$143$	−2.00494	−	4.29962i	−0.167662	−	0.359552i
$144$	−0.641999	+	11.9709i	−0.0535000	+	0.997575i
$145$	6.67168	−	5.59821i	0.554053	−	0.464906i
$146$	−0.624820	−	20.6567i	−0.0517105	−	1.70956i
$147$			43.5842i			3.59476i
$148$	−10.7072	−	5.77546i	−0.880126	−	0.474740i
$149$			11.7920i			0.966039i	0.875610	+	0.483020i	$0.160460\pi$
$149$			11.7920i			0.966039i	−0.875610	+	0.483020i	$0.839540\pi$
$150$	−13.1542	+	0.397886i	−1.07404	+	0.0324872i
$151$	−12.6553	+	10.6191i	−1.02987	+	0.864167i	−0.990836	−	0.135070i	$-0.956874\pi$
$151$	−12.6553	+	10.6191i	−1.02987	+	0.864167i	−0.0390387	+	0.999238i	$0.512430\pi$
$152$	2.47277	−	0.00852913i	0.200568	−	0.000691804i
$153$	1.31114	+	2.81174i	0.105999	+	0.227316i
$154$	−9.00577	+	8.03303i	−0.725706	+	0.647320i
$155$	−0.161165	−	0.0586593i	−0.0129451	−	0.00471163i
$156$	1.99604	+	13.4117i	0.159811	+	1.07380i
$157$	2.92625	+	0.515977i	0.233540	+	0.0411794i	0.289193	−	0.957271i	$-0.406613\pi$
$157$	2.92625	+	0.515977i	0.233540	+	0.0411794i	−0.0556532	+	0.998450i	$0.517724\pi$
$158$	3.08892	−	1.55576i	0.245741	−	0.123770i
$159$	8.36480	−	14.4883i	0.663372	−	1.14899i
$160$	5.15773	−	3.43493i	0.407754	−	0.271555i
$161$	−14.8632	+	21.2268i	−1.17138	+	1.67291i
$162$	−12.0985	−	3.99356i	−0.950544	−	0.313764i
$163$	3.16458	−	6.78646i	0.247869	−	0.531557i	−0.742527	−	0.669816i	$-0.766373\pi$
$163$	3.16458	−	6.78646i	0.247869	−	0.531557i	0.990396	+	0.138259i	$0.0441507\pi$
$164$	16.3458	−	3.91374i	1.27639	−	0.305612i
$165$	2.63673	+	3.76564i	0.205269	+	0.293155i
$166$	−1.42749	+	9.82416i	−0.110795	+	0.762503i
$167$	0.129286	−	1.47775i	0.0100045	−	0.114352i	−0.989550	−	0.144188i	$-0.953943\pi$
$167$	0.129286	−	1.47775i	0.0100045	−	0.114352i	0.999555	+	0.0298363i	$0.00949860\pi$
$168$	31.2099	−	14.6847i	2.40789	−	1.13295i
$169$	−1.82483	−	5.01369i	−0.140372	−	0.385669i
$170$	0.759489	−	1.41244i	0.0582501	−	0.108330i
$171$	0.678153	−	2.53090i	0.0518596	−	0.193543i
$172$	6.19235	+	5.48526i	0.472163	+	0.418247i
$173$	15.4775	+	12.9871i	1.17673	+	0.987393i	0.999995	+	0.00313456i	$0.000997765\pi$
$173$	15.4775	+	12.9871i	1.17673	+	0.987393i	0.176734	+	0.984259i	$0.443447\pi$
$174$	−23.0217	−	15.1037i	−1.74527	−	1.14501i
$175$	9.46139	+	16.3876i	0.715214	+	1.23879i
$176$	6.30626	+	2.68592i	0.475352	+	0.202459i
$177$	1.19464	+	4.45847i	0.0897948	+	0.335119i
$178$	2.98919	−	6.95169i	0.224049	−	0.521051i
$179$	0.0577895	−	0.0577895i	0.00431939	−	0.00431939i	−0.704944	−	0.709263i	$-0.749028\pi$
$179$	0.0577895	−	0.0577895i	0.00431939	−	0.00431939i	0.709263	+	0.704944i	$0.249028\pi$
$180$	−2.07970	−	6.22818i	−0.155012	−	0.464221i
$181$	−2.91252	+	0.513555i	−0.216486	+	0.0381723i	−0.280839	−	0.959755i	$-0.590613\pi$
$181$	−2.91252	+	0.513555i	−0.216486	+	0.0381723i	0.0643532	+	0.997927i	$0.479502\pi$
$182$	15.6254	−	11.6606i	1.15823	−	0.864344i
$183$	−33.0030	+	2.88739i	−2.43965	+	0.213442i
$184$	14.5035	+	2.50582i	1.06922	+	0.184731i
$185$	6.61643	+	0.789842i	0.486450	+	0.0580704i
$186$	−0.0309047	+	0.541335i	−0.00226604	+	0.0396926i
$187$	1.76712	−	0.154603i	0.129224	−	0.0113057i
$188$	12.6194	−	8.34154i	0.920364	−	0.608369i
$189$	0.00629995	+	0.0357288i	0.000458254	+	0.00259889i
$190$	−1.25815	+	0.501505i	−0.0912755	+	0.0363830i
$191$	12.1458	−	12.1458i	0.878839	−	0.878839i	−0.114576	−	0.993414i	$-0.536551\pi$
$191$	12.1458	−	12.1458i	0.878839	−	0.878839i	0.993414	+	0.114576i	$0.0365509\pi$
$192$	−15.0941	−	12.4891i	−1.08933	−	0.901320i
$193$	22.2725	−	5.96790i	1.60321	−	0.429579i	0.657200	−	0.753717i	$-0.271741\pi$
$193$	22.2725	−	5.96790i	1.60321	−	0.429579i	0.946010	+	0.324138i	$0.105074\pi$
$194$	2.34934	−	9.96368i	0.168673	−	0.715350i
$195$	−3.71344	−	6.43187i	−0.265925	−	0.460596i
$196$	−28.6005	−	21.1903i	−2.04289	−	1.51359i
$197$	−8.93114	+	10.6437i	−0.636317	+	0.758333i	−0.983784	−	0.179359i	$-0.942598\pi$
$197$	−8.93114	+	10.6437i	−0.636317	+	0.758333i	0.347466	+	0.937692i	$0.387042\pi$
$198$	4.49822	−	5.70239i	0.319674	−	0.405251i
$199$	0.267765	−	0.999314i	0.0189814	−	0.0708395i	−0.955786	−	0.294065i	$-0.904992\pi$
$199$	0.267765	−	0.999314i	0.0189814	−	0.0708395i	0.974767	+	0.223225i	$0.0716585\pi$
$200$	6.13436	−	8.82541i	0.433765	−	0.624051i
$201$	−20.7452	+	7.55063i	−1.46325	+	0.532580i
$202$	7.83676	+	12.6727i	0.551393	+	0.891648i
$203$	−3.45053	+	39.4398i	−0.242180	+	2.76813i
$204$	−4.96760	−	1.01382i	−0.347802	−	0.0709818i
$205$	−7.54121	+	5.28042i	−0.526701	+	0.368800i
$206$	−4.35690	+	1.30983i	−0.303560	+	0.0912603i
$207$	6.59105	−	14.1346i	0.458110	−	0.982420i
$208$	−9.77139	−	5.21082i	−0.677524	−	0.361306i
$209$	−1.22720	−	0.859296i	−0.0848874	−	0.0594388i
$210$	−12.9488	+	13.7566i	−0.893554	+	0.949296i
$211$	3.68773	−	6.38733i	0.253874	−	0.439722i	−0.710715	−	0.703480i	$-0.751629\pi$
$211$	3.68773	−	6.38733i	0.253874	−	0.439722i	0.964589	+	0.263758i	$0.0849620\pi$
$212$	5.44049	+	12.5332i	0.373655	+	0.860781i
$213$	−4.02978	+	22.8540i	−0.276116	+	1.56593i
$214$	2.92168	+	14.0680i	0.199722	+	0.961670i
$215$	−4.25780	−	1.54971i	−0.290380	−	0.105690i
$216$	0.0168391	−	0.0118776i	0.00114576	−	0.000808171i
$217$	0.706594	−	0.329490i	0.0479667	−	0.0223673i
$218$	−19.6975	+	2.32527i	−1.33409	+	0.157487i
$219$	27.4137	−	23.0028i	1.85244	−	1.55438i
$220$	−3.75302	−	0.100565i	−0.253028	−	0.00678009i
$221$	−2.86585			−0.192778
$222$	−3.63094	−	20.7508i	−0.243693	−	1.39270i
$223$			10.3143i			0.690699i	0.938474	+	0.345350i	$0.112240\pi$
$223$			10.3143i			0.690699i	−0.938474	+	0.345350i	$0.887760\pi$
$224$	−5.53769	+	27.6199i	−0.370002	+	1.84543i
$225$	−7.32046	−	8.72418i	−0.488031	−	0.581612i
$226$	18.0624	−	2.13224i	1.20149	−	0.141835i
$227$	−5.42623	−	11.6366i	−0.360152	−	0.772348i	−0.999993	−	0.00384062i	$-0.998777\pi$
$227$	−5.42623	−	11.6366i	−0.360152	−	0.772348i	0.639841	−	0.768507i	$-0.279000\pi$
$228$	2.66352	+	3.35269i	0.176396	+	0.222037i
$229$	−1.16502	+	3.20087i	−0.0769869	+	0.211520i	−0.972216	−	0.234087i	$-0.924790\pi$
$229$	−1.16502	+	3.20087i	−0.0769869	+	0.211520i	0.895229	+	0.445607i	$0.147012\pi$
$230$	−7.89327	+	1.63929i	−0.520467	+	0.108092i
$231$	−20.5795	−	3.62872i	−1.35403	−	0.238752i
$232$	21.1042	−	7.76383i	1.38556	−	0.509720i
$233$	−6.65364	−	3.84148i	−0.435894	−	0.251664i	0.265960	−	0.963984i	$-0.414311\pi$
$233$	−6.65364	−	3.84148i	−0.435894	−	0.251664i	−0.701855	+	0.712320i	$0.747644\pi$
$234$	−8.04258	+	8.54430i	−0.525760	+	0.558558i
$235$	−4.75241	+	6.78714i	−0.310013	+	0.442744i
$236$	−3.50653	−	1.38373i	−0.228256	−	0.0900730i
$237$	5.42784	+	2.53104i	0.352576	+	0.164409i
$238$	2.09883	+	6.98137i	0.136047	+	0.452535i
$239$	−8.53720	−	12.1924i	−0.552225	−	0.788660i	0.441880	−	0.897074i	$-0.354312\pi$
$239$	−8.53720	−	12.1924i	−0.552225	−	0.788660i	−0.994106	+	0.108414i	$0.965423\pi$
$240$	10.2013	+	3.32837i	0.658494	+	0.214845i
$241$	14.7556	+	1.29095i	0.950494	+	0.0831575i	0.551846	−	0.833946i	$-0.313924\pi$
$241$	14.7556	+	1.29095i	0.950494	+	0.0831575i	0.398649	+	0.917104i	$0.369479\pi$
$242$	5.99777	+	9.69890i	0.385551	+	0.623469i
$243$	−7.53810	−	20.7108i	−0.483569	−	1.32860i
$244$	14.1510	−	23.0608i	0.905927	−	1.47632i
$245$	18.8322	+	5.04607i	1.20314	+	0.322381i
$246$	22.8510	+	18.0255i	1.45692	+	1.14927i
$247$	1.85412	+	1.55579i	0.117975	+	0.0989927i
$248$	−0.340205	−	0.283472i	−0.0216031	−	0.0180005i
$249$	−14.8873	+	8.59519i	−0.943444	+	0.544698i
$250$	−3.12874	+	13.2691i	−0.197879	+	0.839214i
$251$	−4.25236	−	15.8700i	−0.268406	−	1.00171i	−0.960132	−	0.279546i	$-0.909816\pi$
$251$	−4.25236	−	15.8700i	−0.268406	−	1.00171i	0.691726	−	0.722160i	$-0.256851\pi$
$252$	26.7045	+	13.3347i	1.68222	+	0.840007i
$253$	−6.30539	−	6.30539i	−0.396416	−	0.396416i
$254$	8.79644	+	22.0680i	0.551937	+	1.38467i
$255$	2.73480	−	0.482218i	0.171260	−	0.0301977i
$256$	15.5341	−	3.83290i	0.970883	−	0.239556i
$257$	−0.404419	−	4.62253i	−0.0252270	−	0.288345i	−0.998320	−	0.0579345i	$-0.981549\pi$
$257$	−0.404419	−	4.62253i	−0.0252270	−	0.288345i	0.973093	−	0.230411i	$-0.0740070\pi$
$258$	−0.816467	+	14.3015i	−0.0508310	+	0.890370i
$259$	−23.8064	+	18.7287i	−1.47926	+	1.16375i
$260$	6.02612	+	0.690310i	0.373724	+	0.0428112i
$261$	−2.07669	−	23.7367i	−0.128544	−	1.46926i
$262$	7.75733	+	10.3949i	0.479249	+	0.642201i
$263$	2.58542	+	14.6627i	0.159424	+	0.904138i	0.954629	+	0.297797i	$0.0962520\pi$
$263$	2.58542	+	14.6627i	0.159424	+	0.904138i	−0.795205	+	0.606340i	$0.792637\pi$
$264$	3.11152	+	11.4542i	0.191501	+	0.704955i
$265$	−5.29174	−	5.29174i	−0.325069	−	0.325069i
$266$	2.43211	−	5.65614i	0.149122	−	0.346800i
$267$	12.6569	−	3.39141i	0.774590	−	0.207551i
$268$	5.13130	−	17.2843i	0.313444	−	1.05581i
$269$	23.2160	−	13.4038i	1.41550	−	0.817241i	0.419604	−	0.907707i	$-0.362169\pi$
$269$	23.2160	−	13.4038i	1.41550	−	0.817241i	0.995900	+	0.0904662i	$0.0288357\pi$
$270$	−0.00619138	+	0.00943716i	−0.000376796	+	0.000574327i
$271$	−6.17326	+	7.35700i	−0.374999	+	0.446906i	−0.920229	−	0.391380i	$-0.871998\pi$
$271$	−6.17326	+	7.35700i	−0.374999	+	0.446906i	0.545230	+	0.838286i	$0.316442\pi$
$272$	3.08049	−	2.76689i	0.186782	−	0.167767i
$273$	32.6107	+	8.73800i	1.97369	+	0.528848i
$274$	−8.27129	+	15.3824i	−0.499687	+	0.929283i
$275$	−6.11895	+	2.22712i	−0.368987	+	0.134300i
$276$	12.1476	+	22.4056i	0.731197	+	1.34866i
$277$	25.0172	+	2.18872i	1.50314	+	0.131508i	0.808776	−	0.588116i	$-0.200130\pi$
$277$	25.0172	+	2.18872i	1.50314	+	0.131508i	0.694364	+	0.719624i	$0.255686\pi$
$278$	−26.2612	−	3.81586i	−1.57504	−	0.228860i
$279$	−0.384365	+	0.269136i	−0.0230114	+	0.0161127i
$280$	−2.73166	−	15.1855i	−0.163248	−	0.907509i
$281$	−2.33068	−	1.08681i	−0.139037	−	0.0648338i	0.351855	−	0.936055i	$-0.385551\pi$
$281$	−2.33068	−	1.08681i	−0.139037	−	0.0648338i	−0.490891	+	0.871221i	$0.663329\pi$
$282$	24.8744	+	8.21074i	1.48125	+	0.488943i
$283$	−16.3532	−	11.4507i	−0.972099	−	0.680671i	−0.0243550	−	0.999703i	$-0.507753\pi$
$283$	−16.3532	−	11.4507i	−0.972099	−	0.680671i	−0.947744	+	0.319032i	$0.896642\pi$
$284$	−13.0379	−	13.7558i	−0.773655	−	0.816258i
$285$	−2.03112	−	1.17267i	−0.120313	−	0.0694628i
$286$	3.01796	+	5.99207i	0.178456	+	0.354318i
$287$	7.26701	−	41.2133i	0.428958	−	2.43274i
$288$	0.395666	−	16.9491i	0.0233149	−	0.998736i
$289$	−5.44784	+	14.9678i	−0.320461	+	0.880461i
$290$	−9.19151	+	8.19870i	−0.539744	+	0.481444i
$291$	16.0656	−	7.49152i	0.941783	−	0.439161i
$292$	1.76645	+	29.1730i	0.103374	+	1.70722i
$293$	−9.18463	−	10.9458i	−0.536572	−	0.639461i	0.427844	−	0.903853i	$-0.359273\pi$
$293$	−9.18463	−	10.9458i	−0.536572	−	0.639461i	−0.964415	+	0.264392i	$0.914829\pi$
$294$	−1.86354	−	61.6092i	−0.108684	−	3.59312i
$295$	2.06476			0.120215
$296$	15.3823	+	7.70619i	0.894077	+	0.447913i
$297$	−0.0124846			−0.000724428
$298$	−0.504194	−	16.6688i	−0.0292072	−	0.965598i
$299$	9.26033	+	11.0360i	0.535539	+	0.638231i
$300$	18.5773	−	1.12488i	1.07256	−	0.0649447i
$301$	18.6674	−	8.70476i	1.07597	−	0.501734i
$302$	17.4351	−	15.5519i	1.00328	−	0.894910i
$303$	−8.82456	+	24.2453i	−0.506957	+	1.39285i
$304$	−3.49506	+	0.117785i	−0.200455	+	0.00675545i
$305$	−2.57340	+	14.5945i	−0.147353	+	0.835678i
$306$	−1.97360	−	3.91853i	−0.112823	−	0.224007i
$307$	−6.09960	−	3.52161i	−0.348123	−	0.200989i	0.315735	−	0.948847i	$-0.397749\pi$
$307$	−6.09960	−	3.52161i	−0.348123	−	0.200989i	−0.663858	+	0.747859i	$0.731082\pi$
$308$	12.3868	−	11.7403i	0.705803	−	0.668965i
$309$	−6.45334	−	4.51868i	−0.367118	−	0.257059i
$310$	0.230326	+	0.0760279i	0.0130816	+	0.00431809i
$311$	22.3589	+	10.4261i	1.26786	+	0.591212i	0.935961	−	0.352103i	$-0.114533\pi$
$311$	22.3589	+	10.4261i	1.26786	+	0.591212i	0.331897	+	0.943316i	$0.392311\pi$
$312$	−3.39498	−	18.8730i	−0.192203	−	1.06847i
$313$	22.2617	−	15.5878i	1.25830	−	0.881075i	0.261842	−	0.965111i	$-0.415670\pi$
$313$	22.2617	−	15.5878i	1.25830	−	0.881075i	0.996463	+	0.0840360i	$0.0267811\pi$
$314$	−4.15851	−	0.604249i	−0.234678	−	0.0340997i
$315$	−16.2868	−	1.42491i	−0.917656	−	0.0802845i
$316$	−4.29987	+	2.33125i	−0.241887	+	0.131143i
$317$	−1.47518	+	0.536923i	−0.0828546	+	0.0301566i	−0.383115	−	0.923701i	$-0.625149\pi$
$317$	−1.47518	+	0.536923i	−0.0828546	+	0.0301566i	0.300260	+	0.953857i	$0.402926\pi$
$318$	−11.2047	+	20.8378i	−0.628330	+	1.16853i
$319$	−13.1595	−	3.52608i	−0.736792	−	0.197423i
$320$	−7.14393	+	5.07603i	−0.399358	+	0.283759i
$321$	−15.9927	+	19.0594i	−0.892628	+	1.06379i
$322$	20.1025	−	30.6411i	1.12027	−	1.70756i
$323$	−0.783757	+	0.452502i	−0.0436094	+	0.0251779i
$324$	17.2727	+	5.12787i	0.959596	+	0.284882i
$325$	10.1617	−	2.72282i	0.563671	−	0.151035i
$326$	−4.18317	+	9.72843i	−0.231685	+	0.538808i
$327$	−24.2859	−	24.2859i	−1.34302	−	1.34302i
$328$	−22.9385	+	6.23124i	−1.26657	+	0.344063i
$329$	−6.54036	−	37.0922i	−0.360582	−	2.04496i
$330$	−3.88820	−	5.21025i	−0.214039	−	0.286815i
$331$	1.61236	+	18.4294i	0.0886235	+	1.01297i	0.902144	+	0.431435i	$0.141993\pi$
$331$	1.61236	+	18.4294i	0.0886235	+	1.01297i	−0.813521	+	0.581536i	$0.802452\pi$
$332$	1.59780	−	13.9481i	0.0876907	−	0.765504i
$333$	12.1528	−	13.5886i	0.665969	−	0.744649i
$334$	−0.119570	+	2.09442i	−0.00654259	+	0.114602i
$335$	0.860706	+	9.83792i	0.0470254	+	0.537503i
$336$	−43.4893	+	22.0922i	−2.37254	+	1.20523i
$337$	5.06218	−	0.892598i	0.275754	−	0.0486229i	−0.0340608	−	0.999420i	$-0.510844\pi$
$337$	5.06218	−	0.892598i	0.275754	−	0.0486229i	0.309815	+	0.950797i	$0.399733\pi$
$338$	2.79390	+	7.00916i	0.151968	+	0.381248i
$339$	22.2699	+	22.2699i	1.20954	+	1.20954i
$340$	−1.01320	+	2.02906i	−0.0549483	+	0.110041i
$341$	0.0694379	+	0.259146i	0.00376027	+	0.0140335i
$342$	−0.850400	+	3.60659i	−0.0459844	+	0.195022i
$343$	−46.5653	+	26.8845i	−2.51429	+	1.45163i
$344$	−8.98784	−	7.48902i	−0.484592	−	0.403781i
$345$	−10.6938	−	8.97320i	−0.575737	−	0.483101i
$346$	−22.4337	−	17.6964i	−1.20604	−	0.951365i
$347$	7.25707	+	1.94453i	0.389580	+	0.104388i	0.448292	−	0.893887i	$-0.352033\pi$
$347$	7.25707	+	1.94453i	0.389580	+	0.104388i	−0.0587117	+	0.998275i	$0.518699\pi$
$348$	33.1885	+	20.3657i	1.77909	+	1.09172i
$349$	−0.684150	−	1.87969i	−0.0366217	−	0.100617i	0.920034	−	0.391838i	$-0.128161\pi$
$349$	−0.684150	−	1.87969i	−0.0366217	−	0.100617i	−0.956656	+	0.291221i	$0.905939\pi$
$350$	−14.0750	−	22.7604i	−0.752341	−	1.21660i
$351$	0.0200932	+	0.00175793i	0.00107250	+	9.38313e-5i
$352$	−9.02916	−	3.52710i	−0.481256	−	0.187995i
$353$	−4.34314	−	6.20265i	−0.231162	−	0.330134i	0.686767	−	0.726877i	$-0.259029\pi$
$353$	−4.34314	−	6.20265i	−0.231162	−	0.330134i	−0.917930	+	0.396743i	$0.870140\pi$
$354$	−1.87934	−	6.25126i	−0.0998857	−	0.332251i
$355$	9.40838	+	4.38720i	0.499345	+	0.232848i
$356$	−3.92819	+	9.95449i	−0.208194	+	0.527587i
$357$	−7.24059	+	10.3406i	−0.383213	+	0.547284i
$358$	−0.0792184	+	0.0841602i	−0.00418682	+	0.00444801i
$359$	−18.5090	−	10.6862i	−0.976870	−	0.563996i	−0.0755462	−	0.997142i	$-0.524070\pi$
$359$	−18.5090	−	10.6862i	−0.976870	−	0.563996i	−0.901324	+	0.433146i	$0.857403\pi$
$360$	3.20610	+	8.71503i	0.168976	+	0.459322i
$361$	−17.9586	−	3.16659i	−0.945191	−	0.166663i
$362$	4.09508	−	0.850476i	0.215233	−	0.0447000i
$363$	−6.75377	+	18.5558i	−0.354481	+	0.973928i
$364$	−21.5890	+	17.1512i	−1.13157	+	0.898967i
$365$	−6.76533	−	14.5083i	−0.354114	−	0.759399i
$366$	46.5285	−	5.49264i	2.43209	−	0.287105i
$367$	15.7974	+	18.8266i	0.824619	+	0.982743i	0.999998	−	0.00175835i	$-0.000559701\pi$
$367$	15.7974	+	18.8266i	0.824619	+	0.982743i	−0.175380	+	0.984501i	$0.556115\pi$
$368$	−20.6089	−	2.92201i	−1.07431	−	0.152320i
$369$			25.1867i			1.31117i
$370$	−9.38654	−	0.833594i	−0.487983	−	0.0433365i
$371$	34.0191			1.76618
$372$	0.0205399	−	0.766534i	0.00106494	−	0.0397430i
$373$	−12.5815	+	10.5572i	−0.651447	+	0.546629i	−0.907510	−	0.420031i	$-0.862019\pi$
$373$	−12.5815	+	10.5572i	−0.651447	+	0.546629i	0.256063	+	0.966660i	$0.417575\pi$
$374$	−2.49133	+	0.294098i	−0.128823	+	0.0152075i
$375$	−21.3954	+	9.97684i	−1.10485	+	0.515202i
$376$	−17.4817	+	12.3309i	−0.901550	+	0.635917i
$377$	20.6831	+	7.52802i	1.06523	+	0.387713i
$378$	−0.0104331	−	0.0502357i	−0.000536619	−	0.00258385i
$379$	0.813909	−	4.61591i	0.0418077	−	0.237103i	−0.956742	−	0.290937i	$-0.906033\pi$
$379$	0.813909	−	4.61591i	0.0418077	−	0.237103i	0.998550	+	0.0538338i	$0.0171441\pi$
$380$	1.75703	−	0.762706i	0.0901338	−	0.0391260i
$381$	−20.5687	+	35.6260i	−1.05376	+	1.82517i
$382$	−16.6496	+	17.6882i	−0.851866	+	0.905008i
$383$	−24.1209	−	16.8897i	−1.23252	−	0.863022i	−0.238388	−	0.971170i	$-0.576619\pi$
$383$	−24.1209	−	16.8897i	−1.23252	−	0.863022i	−0.994135	+	0.108148i	$0.965508\pi$
$384$	21.8706	+	17.0087i	1.11608	+	0.867974i
$385$	−3.95057	+	8.47202i	−0.201340	+	0.431774i
$386$	−31.2285	+	9.38833i	−1.58949	+	0.477854i
$387$	−10.1545	+	7.11026i	−0.516182	+	0.361435i
$388$	−2.89493	+	14.1848i	−0.146968	+	0.720123i
$389$	2.01925	−	23.0801i	0.102380	−	1.17021i	−0.755072	−	0.655642i	$-0.772398\pi$
$389$	2.01925	−	23.0801i	0.102380	−	1.17021i	0.857452	−	0.514564i	$-0.172046\pi$
$390$	5.52421	+	8.93311i	0.279729	+	0.452345i
$391$	−5.06188	+	1.84237i	−0.255990	+	0.0931728i
$392$	41.3348	+	28.7310i	2.08772	+	1.45113i
$393$	−5.81302	+	21.6945i	−0.293228	+	1.09434i
$394$	12.1697	−	15.4275i	0.613099	−	0.777225i
$395$	1.72205	−	2.05226i	0.0866459	−	0.103261i
$396$	−6.11472	+	8.25304i	−0.307276	+	0.414731i
$397$	−2.33854	−	4.05048i	−0.117368	−	0.203288i	0.801356	−	0.598188i	$-0.204112\pi$
$397$	−2.33854	−	4.05048i	−0.117368	−	0.203288i	−0.918724	+	0.394900i	$0.870779\pi$
$398$	−0.335776	+	1.42405i	−0.0168309	+	0.0713810i
$399$	10.2981	−	2.75937i	0.515550	−	0.138141i
$400$	−8.29398	+	12.7376i	−0.414699	+	0.636880i
$401$	26.3845	−	26.3845i	1.31758	−	1.31758i	0.401889	−	0.915689i	$-0.368354\pi$
$401$	26.3845	−	26.3845i	1.31758	−	1.31758i	0.915689	−	0.401889i	$-0.131646\pi$
$402$	29.0018	−	11.5603i	1.44648	−	0.576576i
$403$	−0.0752667	−	0.426859i	−0.00374930	−	0.0212633i
$404$	−11.6196	−	17.5786i	−0.578099	−	0.874569i
$405$	−9.83134	+	0.860130i	−0.488523	+	0.0427402i
$406$	3.19122	−	55.8983i	0.158378	−	2.77419i
$407$	−4.92441	−	9.18687i	−0.244094	−	0.455376i
$408$	7.06538	+	1.22071i	0.349789	+	0.0604339i
$409$	−7.13420	+	0.624161i	−0.352763	+	0.0308628i	−0.262160	−	0.965024i	$-0.584435\pi$
$409$	−7.13420	+	0.624161i	−0.352763	+	0.0308628i	−0.0906029	+	0.995887i	$0.528879\pi$
$410$	10.4342	−	7.78666i	0.515310	−	0.384556i
$411$	−29.7836	+	5.25165i	−1.46912	+	0.259045i
$412$	6.10277	−	2.03782i	0.300662	−	0.100396i
$413$	−6.63687	+	6.63687i	−0.326579	+	0.326579i
$414$	−8.71254	+	20.2620i	−0.428198	+	0.995821i
$415$	1.99026	+	7.42774i	0.0976979	+	0.364614i
$416$	14.0353	+	6.94805i	0.688138	+	0.340656i
$417$	−22.9760	−	39.7955i	−1.12514	−	1.94880i
$418$	1.77147	+	1.16220i	0.0866456	+	0.0568451i
$419$	−3.56049	−	2.98761i	−0.173941	−	0.145954i	0.551661	−	0.834069i	$-0.313994\pi$
$419$	−3.56049	−	2.98761i	−0.173941	−	0.145954i	−0.725602	+	0.688114i	$0.758439\pi$
$420$	17.7158	−	19.9996i	0.864445	−	0.975878i
$421$	2.68230	−	10.0105i	0.130727	−	0.487882i	−0.869251	−	0.494370i	$-0.835399\pi$
$421$	2.68230	−	10.0105i	0.130727	−	0.487882i	0.999979	+	0.00648864i	$0.00206541\pi$
$422$	−4.93974	+	9.18660i	−0.240463	+	0.447196i
$423$	7.75298	+	21.3011i	0.376963	+	1.03570i
$424$	−8.22638	−	17.4838i	−0.399509	−	0.849090i
$425$	−0.342836	+	3.91863i	−0.0166300	+	0.190082i
$426$	4.71919	−	32.4780i	0.228645	−	1.57356i
$427$	−38.6400	−	55.1837i	−1.86992	−	2.67053i
$428$	−4.73150	−	19.7612i	−0.228706	−	0.955192i
$429$	−4.90987	+	10.5293i	−0.237051	+	0.508357i
$430$	6.08495	+	2.00857i	0.293442	+	0.0968619i
$431$	−6.07827	+	8.68067i	−0.292780	+	0.418133i	−0.938414	−	0.345514i	$-0.887705\pi$
$431$	−6.07827	+	8.68067i	−0.292780	+	0.418133i	0.645633	+	0.763647i	$0.276593\pi$
$432$	−0.0232954	+	0.0175098i	−0.00112080	+	0.000842442i
$433$	11.2649	−	19.5113i	0.541355	−	0.937655i	−0.457471	−	0.889224i	$-0.651245\pi$
$433$	11.2649	−	19.5113i	0.541355	−	0.937655i	0.998827	−	0.0484307i	$-0.0154220\pi$
$434$	−0.984730	+	0.495969i	−0.0472685	+	0.0238073i
$435$	−21.0039	−	3.70356i	−1.00706	−	0.177572i
$436$	27.7444	−	4.12914i	1.32871	−	0.197750i
$437$	4.27507	+	1.55600i	0.204504	+	0.0744334i
$438$	−37.7675	+	33.6881i	−1.80460	+	1.60968i
$439$	5.90178	+	12.6564i	0.281677	+	0.604057i	0.995340	−	0.0964317i	$-0.0307429\pi$
$439$	5.90178	+	12.6564i	0.281677	+	0.604057i	−0.713663	+	0.700489i	$0.752965\pi$
$440$	5.30944	−	0.0183135i	0.253118	−	0.000873061i
$441$	40.8607	−	34.2862i	1.94575	−	1.63267i
$442$	4.05107	−	0.122536i	0.192690	−	0.00582843i
$443$			19.5748i			0.930028i	0.885303	+	0.465014i	$0.153951\pi$
$443$			19.5748i			0.930028i	−0.885303	+	0.465014i	$0.846049\pi$
$444$	6.01982	+	29.1774i	0.285688	+	1.38470i
$445$		−	5.86153i		−	0.277863i
$446$	−0.441013	−	14.5800i	−0.0208826	−	0.690383i
$447$	22.1213	−	18.5619i	1.04630	−	0.877950i
$448$	6.64695	−	39.2793i	0.314039	−	1.85577i
$449$	10.1571	+	21.7821i	0.479345	+	1.02796i	0.986144	+	0.165894i	$0.0530510\pi$
$449$	10.1571	+	21.7821i	0.479345	+	1.02796i	−0.506799	+	0.862065i	$0.669171\pi$
$450$	10.7210	+	12.0192i	0.505392	+	0.566591i
$451$	13.5325	+	4.92542i	0.637220	+	0.231929i
$452$	−25.4412	+	3.78637i	−1.19665	+	0.178096i
$453$	39.8417	+	7.02517i	1.87193	+	0.330071i
$454$	8.16790	+	16.2171i	0.383338	+	0.761106i
$455$	7.55116	−	13.0790i	0.354004	−	0.613152i
$456$	−3.90841	−	4.62537i	−0.183028	−	0.216603i
$457$	−22.4079	+	32.0018i	−1.04820	+	1.49698i	−0.191273	+	0.981537i	$0.561262\pi$
$457$	−22.4079	+	32.0018i	−1.04820	+	1.49698i	−0.856924	+	0.515443i	$0.827627\pi$
$458$	1.50998	−	4.57446i	0.0705566	−	0.213751i
$459$	−0.00318728	+	0.00683515i	−0.000148770	+	0.000319037i
$460$	11.0876	−	2.65475i	0.516961	−	0.123778i
$461$	16.9890	+	24.2628i	0.791255	+	1.13003i	0.988728	+	0.149721i	$0.0478377\pi$
$461$	16.9890	+	24.2628i	0.791255	+	1.13003i	−0.197473	+	0.980308i	$0.563273\pi$
$462$	29.2457	+	4.24952i	1.36063	+	0.197706i
$463$	−1.43582	+	16.4115i	−0.0667281	+	0.762706i	0.886948	+	0.461870i	$0.152821\pi$
$463$	−1.43582	+	16.4115i	−0.0667281	+	0.762706i	−0.953676	+	0.300836i	$0.902734\pi$
$464$	−29.5002	+	11.8771i	−1.36951	+	0.551378i
$465$	0.143650	+	0.394674i	0.00666160	+	0.0183026i
$466$	9.56962	+	5.14570i	0.443304	+	0.238370i
$467$	8.43373	−	31.4751i	0.390266	−	1.45649i	−0.439429	−	0.898277i	$-0.644819\pi$
$467$	8.43373	−	31.4751i	0.390266	−	1.45649i	0.829695	−	0.558216i	$-0.188514\pi$
$468$	11.0034	−	12.4218i	0.508632	−	0.574199i
$469$	−34.3892	−	28.8560i	−1.58795	−	1.33244i
$470$	6.42765	−	9.79728i	0.296485	−	0.451915i
$471$	−3.63829	−	6.30171i	−0.167644	−	0.290367i
$472$	5.01588	+	1.80606i	0.230874	+	0.0831307i
$473$	1.83447	+	6.84634i	0.0843491	+	0.314795i
$474$	−7.78083	−	3.34572i	−0.357386	−	0.153674i
$475$	2.34913	−	2.34913i	0.107785	−	0.107785i
$476$	−3.26535	−	9.77889i	−0.149667	−	0.448215i
$477$	−20.1632	+	3.55532i	−0.923210	+	0.162787i
$478$	12.5892	+	16.8697i	0.575817	+	0.771603i
$479$	41.0547	−	3.59182i	1.87584	−	0.164115i	0.908547	−	0.417782i	$-0.137192\pi$
$479$	41.0547	−	3.59182i	1.87584	−	0.164115i	0.967292	+	0.253667i	$0.0816368\pi$
$480$	−14.5626	−	4.26869i	−0.664689	−	0.194838i
$481$	6.63198	+	15.4792i	0.302392	+	0.705790i
$482$	−20.9133	−	1.19394i	−0.952574	−	0.0543823i
$483$	63.2169	−	5.53076i	2.87647	−	0.251658i
$484$	−8.89295	−	13.4536i	−0.404225	−	0.611527i
$485$	−1.37695	−	7.80910i	−0.0625243	−	0.354593i
$486$	11.5411	+	28.9537i	0.523517	+	1.31337i
$487$	−17.1729	+	17.1729i	−0.778177	+	0.778177i	−0.979521	−	0.201343i	$-0.935469\pi$
$487$	−17.1729	+	17.1729i	−0.778177	+	0.778177i	0.201343	+	0.979521i	$0.435469\pi$
$488$	−19.0174	+	33.2031i	−0.860878	+	1.50303i
$489$	−17.7125	+	4.74604i	−0.800986	+	0.214624i
$490$	−26.8363	−	6.32774i	−1.21234	−	0.285858i
$491$	5.41969	+	9.38718i	0.244587	+	0.423637i	0.962015	−	0.272995i	$-0.0880142\pi$
$491$	5.41969	+	9.38718i	0.244587	+	0.423637i	−0.717428	+	0.696632i	$0.754681\pi$
$492$	−33.0721	−	24.5033i	−1.49101	−	1.10469i
$493$	−5.29009	+	6.30448i	−0.238254	+	0.283940i
$494$	−2.68744	−	2.11994i	−0.120914	−	0.0953806i
$495$	1.45611	−	5.43426i	0.0654471	−	0.244252i
$496$	0.493023	+	0.386161i	0.0221374	+	0.0173391i
$497$	−44.3439	+	16.1399i	−1.98910	+	0.723971i
$498$	20.6767	−	12.7864i	0.926545	−	0.572973i
$499$	−1.30256	+	14.8883i	−0.0583105	+	0.666492i	0.909648	+	0.415381i	$0.136352\pi$
$499$	−1.30256	+	14.8883i	−0.0583105	+	0.666492i	−0.967958	+	0.251112i	$0.919204\pi$
$500$	3.85533	−	18.8906i	0.172415	−	0.844813i
$501$	−2.97570	+	2.08360i	−0.132944	+	0.0930886i
$502$	6.68955	+	22.2515i	0.298569	+	0.993134i
$503$	−2.70001	+	5.79019i	−0.120388	+	0.258172i	−0.957262	−	0.289224i	$-0.906603\pi$
$503$	−2.70001	+	5.79019i	−0.120388	+	0.258172i	0.836874	+	0.547396i	$0.184381\pi$
$504$	−38.3187	−	17.7077i	−1.70685	−	0.788762i
$505$	9.45439	+	6.62003i	0.420715	+	0.294588i
$506$	9.18269	+	8.64349i	0.408220	+	0.384250i
$507$	−6.53295	+	11.3154i	−0.290139	+	0.502535i
$508$	−13.3779	−	30.8185i	−0.593549	−	1.36735i
$509$	−3.87373	+	21.9690i	−0.171700	+	0.973760i	0.770184	+	0.637822i	$0.220164\pi$
$509$	−3.87373	+	21.9690i	−0.171700	+	0.973760i	−0.941884	+	0.335938i	$0.890947\pi$
$510$	−3.84520	+	0.798580i	−0.170268	+	0.0353617i
$511$	68.3810	+	24.8887i	3.02500	+	1.10101i
$512$	−21.7946	+	6.08225i	−0.963196	+	0.268800i
$513$	0.00577270	−	0.00269185i	0.000254871	−	0.000118848i
$514$	0.769320	+	6.51696i	0.0339332	+	0.287451i
$515$	−2.69961	+	2.26525i	−0.118959	+	0.0998186i
$516$	0.542640	−	20.2510i	0.0238884	−	0.891499i
$517$	12.9610			0.570023
$518$	32.8512	−	27.4922i	1.44340	−	1.20794i
$519$		−	49.4782i		−	2.17185i
$520$	−8.54784	−	0.718139i	−0.374848	−	0.0314925i
$521$	−1.85990	−	2.21655i	−0.0814838	−	0.0971086i	0.723762	−	0.690049i	$-0.242411\pi$
$521$	−1.85990	−	2.21655i	−0.0814838	−	0.0971086i	−0.805246	+	0.592941i	$0.797967\pi$
$522$	3.95046	+	33.4646i	0.172907	+	1.46471i
$523$	6.25985	+	13.4243i	0.273724	+	0.587003i	0.994330	−	0.106342i	$-0.0339139\pi$
$523$	6.25985	+	13.4243i	0.273724	+	0.587003i	−0.720606	+	0.693345i	$0.756136\pi$
$524$	−11.4100	−	14.3622i	−0.498447	−	0.627418i
$525$	15.8491	−	43.5451i	0.691712	−	1.90046i
$526$	−4.28160	−	20.6161i	−0.186687	−	0.898904i
$527$	0.159607	+	0.0281429i	0.00695257	+	0.00122593i
$528$	−4.88809	−	16.0582i	−0.212727	−	0.698843i
$529$	3.53250	+	2.03949i	0.153587	+	0.0886734i
$530$	7.70649	+	7.25397i	0.334748	+	0.315092i
$531$	3.24008	−	4.62731i	0.140607	−	0.200808i
$532$	−3.19611	+	8.09933i	−0.138569	+	0.351151i
$533$	−21.0863	−	9.83269i	−0.913348	−	0.425901i
$534$	−17.7464	+	5.33515i	−0.767960	+	0.230875i
$535$	6.38373	+	9.11691i	0.275993	+	0.394158i
$536$	−6.51441	+	24.6519i	−0.281380	+	1.06480i
$537$	−0.199377	−	0.0174433i	−0.00860377	−	0.000752733i
$538$	−32.2442	+	19.9398i	−1.39015	+	0.859664i
$539$	−10.4309	−	28.6588i	−0.449293	−	1.23442i
$540$	0.00834843	−	0.0136048i	0.000359259	−	0.000585457i
$541$	−22.9066	−	6.13780i	−0.984830	−	0.263884i	−0.269753	−	0.962930i	$-0.586942\pi$
$541$	−22.9066	−	6.13780i	−0.984830	−	0.263884i	−0.715077	+	0.699045i	$0.753609\pi$
$542$	8.41175	−	10.6636i	0.361316	−	0.458039i
$543$	5.54803	+	4.65535i	0.238089	+	0.199780i
$544$	−4.23617	+	4.04290i	−0.181624	+	0.173338i
$545$	−13.3054	+	7.68188i	−0.569941	+	0.329056i
$546$	−46.4710	−	10.9574i	−1.98877	−	0.468934i
$547$	4.69352	+	17.5164i	0.200680	+	0.748949i	0.990723	+	0.135897i	$0.0433916\pi$
$547$	4.69352	+	17.5164i	0.200680	+	0.748949i	−0.790043	+	0.613052i	$0.789942\pi$
$548$	11.0343	−	22.0977i	0.471362	−	0.943966i
$549$	28.6693	+	28.6693i	1.22358	+	1.22358i
$550$	8.55432	−	3.40981i	0.364758	−	0.145395i
$551$	6.84507	−	1.20697i	0.291610	−	0.0514187i
$552$	−18.1294	−	31.1524i	−0.771638	−	1.32593i
$553$	1.06141	+	12.1320i	0.0451358	+	0.515905i
$554$	−35.4571	−	2.02424i	−1.50643	−	0.0860017i
$555$	−8.93330	−	13.6554i	−0.379197	−	0.579640i
$556$	37.2851	+	4.27111i	1.58124	+	0.181136i
$557$	2.41924	+	27.6520i	0.102506	+	1.17165i	0.856989	+	0.515334i	$0.172332\pi$
$557$	2.41924	+	27.6520i	0.102506	+	1.17165i	−0.754483	+	0.656320i	$0.772112\pi$
$558$	0.531819	−	0.396876i	0.0225137	−	0.0168011i
$559$	−1.98846	−	11.2771i	−0.0841030	−	0.476972i
$560$	4.51068	+	21.3490i	0.190611	+	0.902159i
$561$	−3.07166	−	3.07166i	−0.129686	−	0.129686i
$562$	3.34104	+	1.43663i	0.140933	+	0.0606005i
$563$	−6.18777	+	1.65801i	−0.260784	+	0.0698767i	−0.386842	−	0.922146i	$-0.626434\pi$
$563$	−6.18777	+	1.65801i	−0.260784	+	0.0698767i	0.126058	+	0.992023i	$0.459767\pi$
$564$	−35.5127	−	10.5429i	−1.49535	−	0.443935i
$565$	12.2009	−	7.04419i	0.513296	−	0.296351i
$566$	23.6060	+	15.4871i	0.992234	+	0.650969i
$567$	28.8366	−	34.3662i	1.21103	−	1.44324i
$568$	19.0181	+	18.8873i	0.797980	+	0.792494i
$569$	41.1598	+	11.0287i	1.72551	+	0.462348i	0.979140	−	0.203185i	$-0.0651294\pi$
$569$	41.1598	+	11.0287i	1.72551	+	0.462348i	0.746368	+	0.665534i	$0.231796\pi$
$570$	2.92126	+	1.57080i	0.122358	+	0.0657935i
$571$	−3.38684	+	1.23271i	−0.141735	+	0.0515872i	−0.411913	−	0.911223i	$-0.635139\pi$
$571$	−3.38684	+	1.23271i	−0.141735	+	0.0515872i	0.270179	+	0.962810i	$0.412917\pi$
$572$	−4.52230	−	8.34115i	−0.189087	−	0.348761i
$573$	−41.9038	−	3.66610i	−1.75055	−	0.153154i
$574$	−8.51024	+	58.5685i	−0.355211	+	2.44460i
$575$	16.1980	−	11.3420i	0.675503	−	0.472992i
$576$	0.165397	+	23.9756i	0.00689153	+	0.998985i
$577$	−5.70574	−	2.66063i	−0.237533	−	0.110763i	0.300207	−	0.953874i	$-0.402944\pi$
$577$	−5.70574	−	2.66063i	−0.237533	−	0.110763i	−0.537740	+	0.843111i	$0.680722\pi$
$578$	7.06091	−	21.3910i	0.293695	−	0.889747i
$579$	−46.2549	−	32.3880i	−1.92229	−	1.34600i
$580$	12.6423	−	11.9824i	0.524941	−	0.497543i
$581$	−30.2728	−	17.4780i	−1.25593	−	0.725110i
$582$	−22.3895	+	11.2767i	−0.928075	+	0.467434i
$583$	−2.03282	+	11.5287i	−0.0841908	+	0.477470i
$584$	−3.74435	−	41.1624i	−0.154942	−	1.70331i
$585$	−3.10871	+	8.54112i	−0.128530	+	0.353132i
$586$	13.4511	+	15.0799i	0.555660	+	0.622946i
$587$	−11.2534	+	5.24753i	−0.464476	+	0.216589i	−0.640746	−	0.767753i	$-0.721375\pi$
$587$	−11.2534	+	5.24753i	−0.464476	+	0.216589i	0.176270	+	0.984342i	$0.443597\pi$
$588$	5.26848	+	87.0090i	0.217268	+	3.58819i
$589$	−0.0879828	−	0.104854i	−0.00362527	−	0.00432043i
$590$	−2.91868	+	0.0882835i	−0.120160	+	0.00363457i
$591$	34.0257			1.39963
$592$	−22.0734	−	10.2355i	−0.907210	−	0.420677i
$593$	−24.6658			−1.01290			−0.506451	−	0.862269i	$-0.669043\pi$
$593$	−24.6658			−1.01290			−0.506451	+	0.862269i	$0.669043\pi$
$594$	0.0176478		0.000533806i	0.000724096		2.19023e-5i
$595$	3.62976	+	4.32578i	0.148806	+	0.177340i
$596$	1.42542	+	23.5409i	0.0583877	+	0.964273i
$597$	−2.29616	+	1.07072i	−0.0939755	+	0.0438215i
$598$	−13.5620	−	15.2042i	−0.554590	−	0.621747i
$599$	7.57104	−	20.8013i	0.309344	−	0.849916i	−0.683441	−	0.730006i	$-0.739517\pi$
$599$	7.57104	−	20.8013i	0.309344	−	0.849916i	0.992785	−	0.119910i	$-0.0382606\pi$
$600$	−26.2122	+	2.38440i	−1.07011	+	0.0973429i
$601$	1.00731	−	5.71274i	0.0410890	−	0.233027i	−0.957347	−	0.288942i	$-0.906696\pi$
$601$	1.00731	−	5.71274i	0.0410890	−	0.233027i	0.998436	+	0.0559149i	$0.0178075\pi$
$602$	−26.0155	+	13.1029i	−1.06031	+	0.534036i
$603$	23.3983	+	13.5090i	0.952852	+	0.550130i
$604$	−23.9807	+	22.7291i	−0.975761	+	0.924834i
$605$	7.23581	+	5.06657i	0.294177	+	0.205985i
$606$	11.4374	−	34.6496i	0.464614	−	1.40754i
$607$	−14.4645	−	6.74489i	−0.587094	−	0.273767i	0.106289	−	0.994335i	$-0.466103\pi$
$607$	−14.4645	−	6.74489i	−0.587094	−	0.273767i	−0.693384	+	0.720569i	$0.743881\pi$
$608$	4.93546	−	0.315936i	0.200159	−	0.0128129i
$609$	79.4187	−	55.6096i	3.21821	−	2.25341i
$610$	3.01366	−	20.7403i	0.122019	−	0.839751i
$611$	−20.8600	−	1.82501i	−0.843905	−	0.0738321i
$612$	2.95737	+	5.45472i	0.119544	+	0.220494i
$613$	11.1585	−	4.06137i	0.450689	−	0.164037i	−0.106696	−	0.994292i	$-0.534027\pi$
$613$	11.1585	−	4.06137i	0.450689	−	0.164037i	0.557385	+	0.830254i	$0.311805\pi$
$614$	8.77277	+	4.71722i	0.354040	+	0.190372i
$615$	21.7765	+	5.83500i	0.878114	+	0.235290i
$616$	−17.0076	+	17.1253i	−0.685255	+	0.689998i
$617$	13.8499	−	16.5056i	0.557575	−	0.664492i	−0.411456	−	0.911430i	$-0.634980\pi$
$617$	13.8499	−	16.5056i	0.557575	−	0.664492i	0.969031	+	0.246937i	$0.0794242\pi$
$618$	9.31543	+	6.11153i	0.374722	+	0.245842i
$619$	33.9792	−	19.6179i	1.36574	−	0.788510i	0.375358	−	0.926880i	$-0.377520\pi$
$619$	33.9792	−	19.6179i	1.36574	−	0.788510i	0.990381	+	0.138370i	$0.0441864\pi$
$620$	−0.328832	−	0.0976224i	−0.0132062	−	0.00392061i
$621$	0.0366203	−	0.00981239i	0.00146952	−	0.000393758i
$622$	−32.0516	−	13.7820i	−1.28515	−	0.552609i
$623$	18.8411	+	18.8411i	0.754851	+	0.754851i
$624$	5.60599	+	26.5331i	0.224419	+	1.06217i
$625$	−1.46553	−	8.31143i	−0.0586212	−	0.332457i
$626$	−30.8019	+	22.9863i	−1.23109	+	0.918715i
$627$	0.319754	+	3.65480i	0.0127697	+	0.145959i
$628$	5.90417	+	0.676340i	0.235602	+	0.0269889i
$629$	−6.28689	+	0.350665i	−0.250675	+	0.0139819i
$630$	23.0834	+	1.31783i	0.919664	+	0.0525034i
$631$	−2.35583	−	26.9273i	−0.0937842	−	1.07196i	−0.886612	−	0.462513i	$-0.846948\pi$
$631$	−2.35583	−	26.9273i	−0.0937842	−	1.07196i	0.792828	−	0.609445i	$-0.208608\pi$
$632$	5.97848	−	3.47922i	0.237811	−	0.138396i
$633$	−17.7872	+	3.13637i	−0.706979	+	0.124659i
$634$	2.06231	−	0.822052i	0.0819050	−	0.0326478i
$635$	13.0121	+	13.0121i	0.516371	+	0.516371i
$636$	14.9477	−	29.9347i	0.592714	−	1.18699i
$637$	12.7527	+	47.5935i	0.505278	+	1.88572i
$638$	18.7526	+	4.42169i	0.742424	+	0.175056i
$639$	24.5960	−	14.2005i	0.973002	−	0.561763i
$640$	9.88138	−	7.48077i	0.390596	−	0.295703i
$641$	−12.6749	−	10.6355i	−0.500630	−	0.420078i	0.357188	−	0.934033i	$-0.383736\pi$
$641$	−12.6749	−	10.6355i	−0.500630	−	0.420078i	−0.857817	+	0.513954i	$0.828180\pi$
$642$	21.7919	−	27.6256i	0.860057	−	1.09029i
$643$	7.10896	+	1.90484i	0.280350	+	0.0751196i	0.396254	−	0.918141i	$-0.370310\pi$
$643$	7.10896	+	1.90484i	0.280350	+	0.0751196i	−0.115904	+	0.993260i	$0.536977\pi$
$644$	−27.1061	+	44.1727i	−1.06813	+	1.74065i
$645$	3.79507	+	10.4269i	0.149431	+	0.410557i
$646$	1.08855	−	0.673153i	0.0428282	−	0.0264849i
$647$	25.1863	+	2.20352i	0.990177	+	0.0866293i	0.570719	−	0.821145i	$-0.306665\pi$
$647$	25.1863	+	2.20352i	0.990177	+	0.0866293i	0.419458	+	0.907775i	$0.362220\pi$
$648$	−24.6354	−	6.51005i	−0.967771	−	0.255739i
$649$	−1.85258	−	2.64575i	−0.0727199	−	0.103855i
$650$	−14.2479	+	4.28338i	−0.558847	+	0.168008i
$651$	−1.73037	−	0.806883i	−0.0678184	−	0.0316242i
$652$	5.49724	−	13.9306i	0.215288	−	0.545566i
$653$	−19.3527	+	27.6385i	−0.757329	+	1.08158i	0.236605	+	0.971606i	$0.423965\pi$
$653$	−19.3527	+	27.6385i	−0.757329	+	1.08158i	−0.993935	+	0.109972i	$0.964924\pi$
$654$	35.3682	+	33.2914i	1.38301	+	1.30180i
$655$	8.70090	+	5.02347i	0.339972	+	0.196283i
$656$	32.1587	−	9.78907i	1.25559	−	0.382199i
$657$	−43.1307	−	7.60511i	−1.68269	−	0.296704i
$658$	10.8312	+	52.1527i	0.422244	+	2.03312i
$659$	−5.75078	+	15.8001i	−0.224019	+	0.615486i	−0.999881	−	0.0154157i	$-0.995093\pi$
$659$	−5.75078	+	15.8001i	−0.224019	+	0.615486i	0.775862	+	0.630902i	$0.217315\pi$
$660$	5.71901	+	7.19879i	0.222612	+	0.280212i
$661$	−8.66475	−	18.5816i	−0.337020	−	0.722741i	0.662637	−	0.748941i	$-0.269437\pi$
$661$	−8.66475	−	18.5816i	−0.337020	−	0.722741i	−0.999657	+	0.0261996i	$0.991659\pi$
$662$	−3.06717	−	25.9822i	−0.119209	−	1.00983i
$663$	4.51116	+	5.37619i	0.175199	+	0.208794i
$664$	−1.66221	+	19.7850i	−0.0645064	+	0.767805i
$665$		−	4.76915i		−	0.184940i
$666$	−16.5978	+	19.7280i	−0.643151	+	0.764444i
$667$	41.3716			1.60191
$668$	0.0794687	−	2.96572i	0.00307474	−	0.114747i
$669$	19.3492	−	16.2359i	0.748084	−	0.627717i
$670$	−1.63731	−	13.8698i	−0.0632548	−	0.535835i
$671$	21.0101	−	9.79717i	0.811086	−	0.378216i
$672$	60.5305	−	33.0883i	2.33501	−	1.27641i
$673$	−16.2520	−	5.91523i	−0.626467	−	0.228015i	0.00922569	−	0.999957i	$-0.497063\pi$
$673$	−16.2520	−	5.91523i	−0.626467	−	0.228015i	−0.635693	+	0.771942i	$0.719286\pi$
$674$	−7.11756	+	1.47819i	−0.274158	+	0.0569378i
$675$	0.00480743	−	0.0272643i	0.000185038	−	0.00104940i
$676$	−4.24905	−	9.78846i	−0.163425	−	0.376479i
$677$	−1.42592	+	2.46977i	−0.0548026	+	0.0949208i	−0.892125	−	0.451788i	$-0.850786\pi$
$677$	−1.42592	+	2.46977i	−0.0548026	+	0.0949208i	0.837323	+	0.546709i	$0.184120\pi$
$678$	−32.4322	−	30.5278i	−1.24555	−	1.17241i
$679$	29.5272	+	20.6752i	1.13315	+	0.793441i
$680$	1.34546	−	2.91153i	0.0515962	−	0.111652i
$681$	−13.2882	+	28.4967i	−0.509205	+	1.09199i
$682$	−0.109235	−	0.363351i	−0.00418284	−	0.0139134i
$683$	1.45132	−	1.01623i	0.0555332	−	0.0388848i	−0.545480	−	0.838124i	$-0.683653\pi$
$683$	1.45132	−	1.01623i	0.0555332	−	0.0388848i	0.601013	+	0.799239i	$0.294764\pi$
$684$	1.04789	−	5.13452i	0.0400670	−	0.196323i
$685$	−1.17910	+	13.4771i	−0.0450509	+	0.514935i
$686$	64.6736	−	39.9940i	2.46925	−	1.52698i
$687$	7.83856	−	2.85300i	0.299060	−	0.108849i
$688$	13.0251	+	10.2019i	0.496578	+	0.388945i
$689$	4.89505	−	18.2686i	0.186487	−	0.695977i
$690$	15.5001	+	12.2270i	0.590080	+	0.465473i
$691$	−15.9002	+	18.9491i	−0.604870	+	0.720856i	−0.978391	−	0.206766i	$-0.933706\pi$
$691$	−15.9002	+	18.9491i	−0.604870	+	0.720856i	0.373520	+	0.927622i	$0.378151\pi$
$692$	32.4682	+	24.0559i	1.23426	+	0.914466i
$693$	12.7872	+	22.1481i	0.485746	+	0.841337i
$694$	−10.3415	−	2.43843i	−0.392558	−	0.0925614i
$695$	−19.8552	+	5.32020i	−0.753152	+	0.201807i
$696$	−47.7849	−	27.3693i	−1.81128	−	1.03743i
$697$	6.15143	−	6.15143i	0.233002	−	0.233002i
$698$	1.04746	+	2.62781i	0.0396471	+	0.0994642i
$699$	3.26713	+	18.5288i	0.123574	+	0.700825i
$700$	20.8691	+	31.5716i	0.788779	+	1.19329i
$701$	13.9359	−	1.21924i	0.526353	−	0.0460500i	0.179117	−	0.983828i	$-0.442676\pi$
$701$	13.9359	−	1.21924i	0.526353	−	0.0460500i	0.347236	+	0.937778i	$0.387120\pi$
$702$	−0.0284783	−	0.00162582i	−0.00107484	−	6.13626e-5i
$703$	4.25781	+	3.18612i	0.160586	+	0.120167i
$704$	12.9141	+	4.59972i	0.486720	+	0.173359i
$705$	20.2132	−	1.76842i	0.761272	−	0.0666027i
$706$	6.40453	+	8.58216i	0.241038	+	0.322994i
$707$	−51.6689	+	9.11062i	−1.94321	+	0.342640i
$708$	2.92386	+	8.75622i	0.109885	+	0.329079i
$709$	−8.90440	+	8.90440i	−0.334412	+	0.334412i	−0.854259	−	0.519847i	$-0.825989\pi$
$709$	−8.90440	+	8.90440i	−0.334412	+	0.334412i	0.519847	+	0.854259i	$0.325989\pi$
$710$	−13.4870	−	5.79932i	−0.506156	−	0.217645i
$711$	−1.89701	−	7.07974i	−0.0711435	−	0.265511i
$712$	5.12713	−	14.2393i	0.192147	−	0.533640i
$713$	−0.407357	−	0.705564i	−0.0152557	−	0.0264236i
$714$	9.79292	−	14.9268i	0.366491	−	0.558620i
$715$	3.98111	+	3.34054i	0.148885	+	0.124929i
$716$	0.108382	−	0.122353i	0.00405043	−	0.00457256i
$717$	−9.43383	+	35.2075i	−0.352313	+	1.31485i
$718$	26.6207	+	14.3143i	0.993475	+	0.534204i
$719$	4.23569	+	11.6375i	0.157965	+	0.434005i	0.993276	−	0.115773i	$-0.0369346\pi$
$719$	4.23569	+	11.6375i	0.157965	+	0.434005i	−0.835311	+	0.549778i	$0.814712\pi$
$720$	−4.90466	−	12.1822i	−0.182786	−	0.454003i
$721$	1.39622	−	15.9588i	0.0519978	−	0.594338i
$722$	25.5211	+	3.70833i	0.949798	+	0.138010i
$723$	−20.8053	−	29.7130i	−0.773756	−	1.10504i
$724$	−5.75231	+	1.37730i	−0.213783	+	0.0511869i
$725$	12.7677	−	27.3805i	0.474182	−	1.01689i
$726$	8.75351	−	26.5187i	0.324873	−	0.984201i
$727$	−6.16414	+	8.80330i	−0.228615	+	0.326496i	−0.917028	−	0.398823i	$-0.869419\pi$
$727$	−6.16414	+	8.80330i	−0.228615	+	0.326496i	0.688413	+	0.725319i	$0.258308\pi$
$728$	29.7842	−	25.1675i	1.10387	−	0.932768i
$729$	−13.4732	+	23.3363i	−0.499008	+	0.864307i
$730$	10.1836	+	20.2192i	0.376911	+	0.748346i
$731$	4.21663	+	0.743505i	0.155958	+	0.0274995i
$732$	−65.5363	+	9.75365i	−2.42229	+	0.360505i
$733$	−22.1274	−	8.05371i	−0.817294	−	0.297471i	−0.100661	−	0.994921i	$-0.532096\pi$
$733$	−22.1274	−	8.05371i	−0.817294	−	0.297471i	−0.716633	+	0.697450i	$0.754318\pi$
$734$	−23.1357	−	25.9373i	−0.853954	−	0.957362i
$735$	−20.1778	−	43.2714i	−0.744268	−	1.59609i
$736$	29.2570	+	3.24927i	1.07843	+	0.119770i
$737$	11.8339	−	9.92983i	0.435908	−	0.365770i
$738$	−1.07691	−	35.6031i	−0.0396418	−	1.31057i
$739$			20.0298i			0.736808i	0.929666	+	0.368404i	$0.120096\pi$
$739$			20.0298i			0.736808i	−0.929666	+	0.368404i	$0.879904\pi$
$740$	13.3042	+	0.776998i	0.489070	+	0.0285630i
$741$		−	5.92723i		−	0.217742i
$742$	−48.0882	+	1.45456i	−1.76537	+	0.0533987i
$743$	−23.0472	+	19.3389i	−0.845519	+	0.709475i	−0.958798	−	0.284088i	$-0.908309\pi$
$743$	−23.0472	+	19.3389i	−0.845519	+	0.709475i	0.113279	+	0.993563i	$0.463865\pi$
$744$	0.00374043	+	1.08443i	0.000137131	+	0.0397570i
$745$	−5.45924	−	11.7074i	−0.200011	−	0.428925i
$746$	17.3334	−	15.4612i	0.634622	−	0.566075i
$747$	19.7694	+	7.19547i	0.723325	+	0.263269i
$748$	3.50908	−	0.522250i	0.128305	−	0.0190953i
$749$	−49.8246	−	8.78542i	−1.82055	−	0.321012i
$750$	29.8173	−	15.0177i	1.08877	−	0.548371i
$751$	−19.9728	+	34.5940i	−0.728819	+	1.26235i	0.228564	+	0.973529i	$0.426597\pi$
$751$	−19.9728	+	34.5940i	−0.728819	+	1.26235i	−0.957383	+	0.288823i	$0.906736\pi$
$752$	24.1843	−	18.1780i	0.881911	−	0.662884i
$753$	−23.0777	+	32.9584i	−0.840999	+	1.20107i
$754$	−29.5588	−	9.75700i	−1.07647	−	0.355329i
$755$	7.64826	−	16.4018i	0.278349	−	0.596921i
$756$	0.0168958	+	0.0705654i	0.000614494	+	0.00256644i
$757$	−25.8687	−	36.9444i	−0.940215	−	1.34277i	−0.939421	−	0.342766i	$-0.888636\pi$
$757$	−25.8687	−	36.9444i	−0.940215	−	1.34277i	−0.000793701	−	1.00000i	$-0.500253\pi$
$758$	−0.953151	+	6.55969i	−0.0346200	+	0.238259i
$759$	−1.90323	+	21.7540i	−0.0690828	+	0.789620i
$760$	−2.45107	+	1.15326i	−0.0889096	+	0.0418332i
$761$	9.38566	+	25.7869i	0.340230	+	0.934774i	0.985328	+	0.170674i	$0.0545944\pi$
$761$	9.38566	+	25.7869i	0.340230	+	0.934774i	−0.645098	+	0.764100i	$0.723183\pi$
$762$	27.5519	−	51.2391i	0.998100	−	1.85620i
$763$	18.0760	−	67.4606i	0.654396	−	2.44224i
$764$	22.7790	−	25.7154i	0.824115	−	0.930349i
$765$	−2.60345	−	2.18456i	−0.0941281	−	0.0789828i
$766$	34.8187	+	22.8433i	1.25805	+	0.825363i
$767$	2.60908	+	4.51905i	0.0942083	+	0.163174i
$768$	−31.6428	−	23.1079i	−1.14181	−	0.833834i
$769$	8.04297	+	30.0168i	0.290037	+	1.08243i	0.945079	+	0.326841i	$0.105984\pi$
$769$	8.04297	+	30.0168i	0.290037	+	1.08243i	−0.655042	+	0.755592i	$0.727349\pi$
$770$	5.22215	−	12.1447i	0.188193	−	0.437664i
$771$	−8.03505	+	8.03505i	−0.289375	+	0.289375i
$772$	43.7422	−	14.6063i	1.57431	−	0.525692i
$773$	30.0811	−	5.30411i	1.08194	−	0.190776i	0.395869	−	0.918307i	$-0.370444\pi$
$773$	30.0811	−	5.30411i	1.08194	−	0.190776i	0.686074	+	0.727531i	$0.259332\pi$
$774$	14.0501	−	10.4850i	0.505019	−	0.376876i
$775$	−0.592672	+	0.0518520i	−0.0212894	+	0.00186258i
$776$	3.48567	−	20.1749i	0.125128	−	0.724237i
$777$	72.6082	+	15.1786i	2.60480	+	0.544528i
$778$	−1.86750	+	32.7116i	−0.0669530	+	1.17277i
$779$	−7.31924	+	0.640351i	−0.262239	+	0.0229429i
$780$	−8.19080	−	12.3913i	−0.293278	−	0.443681i
$781$	−2.81984	−	15.9921i	−0.100902	−	0.572242i
$782$	7.07653	−	2.82075i	0.253056	−	0.100870i
$783$	0.0409575	−	0.0409575i	0.00146370	−	0.00146370i
$784$	−59.6580	−	38.8458i	−2.13064	−	1.38735i
$785$	−3.14412	+	0.842465i	−0.112218	+	0.0300689i
$786$	7.28950	−	30.9152i	0.260008	−	1.10271i
$787$	−2.81560	−	4.87677i	−0.100365	−	0.173838i	0.811470	−	0.584394i	$-0.198668\pi$
$787$	−2.81560	−	4.87677i	−0.100365	−	0.173838i	−0.911835	+	0.410556i	$0.865335\pi$
$788$	−16.5430	+	22.3281i	−0.589320	+	0.795406i
$789$	23.4367	−	27.9308i	0.834369	−	0.994362i
$790$	−2.34649	+	2.97464i	−0.0834843	+	0.105833i
$791$	−16.5755	+	61.8606i	−0.589357	+	2.19951i
$792$	8.29068	−	11.9277i	0.294597	−	0.423831i
$793$	−35.1942	+	12.8096i	−1.24978	+	0.454883i
$794$	3.47888	+	5.62563i	0.123461	+	0.199646i
$795$	−1.59727	+	18.2568i	−0.0566492	+	0.647503i
$796$	0.413754	−	2.02734i	0.0146651	−	0.0718572i
$797$	2.27628	−	1.59387i	0.0806301	−	0.0564578i	−0.532566	−	0.846388i	$-0.678772\pi$
$797$	2.27628	−	1.59387i	0.0806301	−	0.0564578i	0.613196	+	0.789930i	$0.289883\pi$
$798$	−14.4391	+	4.34087i	−0.511138	+	0.153665i
$799$	3.30891	−	7.09598i	0.117061	−	0.251038i
$800$	11.1795	−	18.3601i	0.395254	−	0.649127i
$801$	−13.1362	−	9.19808i	−0.464146	−	0.324998i
$802$	−36.1681	+	38.4243i	−1.27714	+	1.35681i
$803$	−12.5206	+	21.6864i	−0.441843	+	0.765295i
$804$	−40.5018	+	17.5813i	−1.42839	+	0.620046i
$805$	4.92932	−	27.9555i	0.173736	−	0.985304i
$806$	0.124646	+	0.600175i	0.00439046	+	0.0211403i
$807$	−61.6893	−	22.4531i	−2.17157	−	0.790386i
$808$	17.1768	+	24.3517i	0.604276	+	0.856691i
$809$	30.1132	−	14.0420i	1.05873	−	0.493692i	0.186327	−	0.982488i	$-0.440342\pi$
$809$	30.1132	−	14.0420i	1.05873	−	0.493692i	0.872398	+	0.488796i	$0.162564\pi$
$810$	13.8605	−	1.63621i	0.487007	−	0.0574907i
$811$	−5.73512	+	4.81234i	−0.201387	+	0.168984i	−0.737904	−	0.674906i	$-0.764184\pi$
$811$	−5.73512	+	4.81234i	−0.201387	+	0.168984i	0.536517	+	0.843890i	$0.319740\pi$
$812$	−2.12095	+	79.1525i	−0.0744308	+	2.77771i
$813$	23.5188			0.824840
$814$	7.35378	+	12.7757i	0.257750	+	0.447788i
$815$			8.20282i			0.287332i
$816$	−10.0396	−	1.42345i	−0.351456	−	0.0498308i
$817$	−2.32441	−	2.77012i	−0.0813207	−	0.0969143i
$818$	10.0580	−	1.18733i	0.351669	−	0.0415141i
$819$	−17.4617	−	37.4467i	−0.610161	−	1.30849i
$820$	−14.4166	+	11.4531i	−0.503448	+	0.399960i
$821$	−4.60534	+	12.6531i	−0.160727	+	0.441595i	−0.993748	−	0.111647i	$-0.964387\pi$
$821$	−4.60534	+	12.6531i	−0.160727	+	0.441595i	0.833020	+	0.553242i	$0.186610\pi$
$822$	41.8765	−	8.69702i	1.46061	−	0.303343i
$823$	5.15798	+	0.909491i	0.179796	+	0.0317029i	0.262821	−	0.964845i	$-0.415347\pi$
$823$	5.15798	+	0.909491i	0.179796	+	0.0317029i	−0.0830252	+	0.996547i	$0.526458\pi$
$824$	−8.53954	+	3.14154i	−0.297489	+	0.109441i
$825$	13.8099	+	7.97314i	0.480798	+	0.277589i
$826$	9.09789	−	9.66544i	0.316556	−	0.336304i
$827$	4.67688	−	6.67927i	0.162631	−	0.232261i	−0.729563	−	0.683914i	$-0.760276\pi$
$827$	4.67688	−	6.67927i	0.162631	−	0.232261i	0.892194	+	0.451653i	$0.149165\pi$
$828$	11.4494	−	29.0142i	0.397895	−	1.00831i
$829$	−31.1582	−	14.5293i	−1.08217	−	0.504623i	−0.202048	−	0.979376i	$-0.564760\pi$
$829$	−31.1582	−	14.5293i	−1.08217	−	0.504623i	−0.880119	+	0.474752i	$0.842538\pi$
$830$	−3.13095	−	10.4145i	−0.108677	−	0.361493i
$831$	−35.2740	−	50.3765i	−1.22364	−	1.74754i
$832$	−20.1369	−	9.22143i	−0.698122	−	0.319695i
$833$	−18.3533	−	1.60571i	−0.635906	−	0.0556345i
$834$	34.1796	+	55.2713i	1.18354	+	1.91389i
$835$	0.555781	+	1.52699i	0.0192336	+	0.0528438i
$836$	−2.55379	−	1.56711i	−0.0883247	−	0.0541995i
$837$	−0.00110178		0.000295222i	−3.80832e−5		1.02044e-5i
$838$	5.16074	+	4.07095i	0.178275	+	0.140629i
$839$	−6.85995	−	5.75618i	−0.236832	−	0.198725i	0.516646	−	0.856199i	$-0.327181\pi$
$839$	−6.85995	−	5.75618i	−0.236832	−	0.198725i	−0.753477	+	0.657474i	$0.771625\pi$
$840$	−24.1874	+	29.0282i	−0.834545	+	1.00157i
$841$	29.6249	−	17.1040i	1.02155	−	0.589791i
$842$	−3.36359	+	14.2652i	−0.115917	+	0.491611i
$843$	1.62994	+	6.08300i	0.0561380	+	0.209510i
$844$	6.58987	−	13.1971i	0.226833	−	0.454262i
$845$	4.13288	+	4.13288i	0.142175	+	0.142175i
$846$	−11.8701	−	29.7791i	−0.408104	−	1.02383i
$847$	−39.5442	+	6.97271i	−1.35875	+	0.239585i
$848$	12.3761	+	24.3628i	0.424997	+	0.836623i
$849$	4.26092	+	48.7025i	0.146234	+	1.67147i
$850$	0.317071	−	5.55391i	0.0108755	−	0.190497i
$851$	21.6650	+	23.0770i	0.742668	+	0.791069i
$852$	−5.28222	+	46.1116i	−0.180966	+	1.57976i
$853$	−2.23310	−	25.5245i	−0.0764600	−	0.873942i	−0.933473	−	0.358647i	$-0.883238\pi$
$853$	−2.23310	−	25.5245i	−0.0764600	−	0.873942i	0.857013	−	0.515294i	$-0.172317\pi$
$854$	56.9798	+	76.3537i	1.94981	+	2.61277i
$855$	0.498422	+	2.82669i	0.0170457	+	0.0966708i
$856$	7.53322	+	27.7314i	0.257480	+	0.947840i
$857$	14.5061	+	14.5061i	0.495518	+	0.495518i	0.910039	−	0.414522i	$-0.136051\pi$
$857$	14.5061	+	14.5061i	0.495518	+	0.495518i	−0.414522	+	0.910039i	$0.636051\pi$
$858$	6.49023	−	15.0937i	0.221573	−	0.515292i
$859$	−9.27973	+	2.48650i	−0.316620	+	0.0848381i	−0.413629	−	0.910445i	$-0.635739\pi$
$859$	−9.27973	+	2.48650i	−0.316620	+	0.0848381i	0.0970091	+	0.995283i	$0.469072\pi$
$860$	−8.68737	−	2.57907i	−0.296237	−	0.0879457i
$861$	−88.7533	+	51.2417i	−3.02470	+	1.74631i
$862$	8.22088	−	12.5306i	0.280004	−	0.426794i
$863$	−29.2054	+	34.8057i	−0.994165	+	1.18480i	−0.0114004	+	0.999935i	$0.503629\pi$
$863$	−29.2054	+	34.8057i	−0.994165	+	1.18480i	−0.982764	+	0.184864i	$0.940815\pi$
$864$	0.0321809	−	0.0257474i	0.00109482	−	0.000875943i
$865$	−21.3789	−	5.72846i	−0.726904	−	0.194773i
$866$	−15.0894	+	28.0622i	−0.512759	+	0.953594i
$867$	36.6545	−	13.3411i	1.24485	−	0.453089i
$868$	1.37078	−	0.743189i	0.0465272	−	0.0252255i
$869$	−4.17483	−	0.365250i	−0.141621	−	0.0123903i
$870$	29.8488	+	4.33716i	1.01197	+	0.147044i
$871$	−20.4442	+	14.3152i	−0.692727	+	0.485052i
$872$	−39.0420	+	7.02309i	−1.32213	+	0.237832i
$873$	−19.6616	−	9.16837i	−0.665446	−	0.310302i
$874$	−6.10962	−	2.01672i	−0.206661	−	0.0682164i
$875$	−39.3230	−	27.5342i	−1.32936	−	0.930827i
$876$	51.9465	−	49.2352i	1.75511	−	1.66350i
$877$	26.4573	+	15.2751i	0.893399	+	0.515804i	0.875053	−	0.484027i	$-0.160826\pi$
$877$	26.4573	+	15.2751i	0.893399	+	0.515804i	0.0183464	+	0.999832i	$0.494160\pi$
$878$	−8.88372	−	17.6383i	−0.299811	−	0.595265i
$879$	−6.07620	+	34.4599i	−0.204945	+	1.16230i
$880$	−7.50447	+	0.252905i	−0.252976	+	0.00852541i
$881$	3.69089	−	10.1406i	0.124349	−	0.341647i	−0.861861	−	0.507145i	$-0.830701\pi$
$881$	3.69089	−	10.1406i	0.124349	−	0.341647i	0.986210	+	0.165498i	$0.0529231\pi$
$882$	−56.2933	+	50.2129i	−1.89549	+	1.69076i
$883$	1.15035	−	0.536419i	0.0387125	−	0.0180519i	−0.403166	−	0.915127i	$-0.632090\pi$
$883$	1.15035	−	0.536419i	0.0387125	−	0.0180519i	0.441878	+	0.897075i	$0.354312\pi$
$884$	−5.72121	+	0.346425i	−0.192425	+	0.0116515i
$885$	−3.25016	−	3.87339i	−0.109253	−	0.130203i
$886$	−0.836966	−	27.6703i	−0.0281184	−	0.929602i
$887$	−38.5494			−1.29436			−0.647181	−	0.762336i	$-0.724052\pi$
$887$	−38.5494			−1.29436			−0.647181	+	0.762336i	$0.724052\pi$
$888$	−9.75697	−	40.9868i	−0.327422	−	1.37543i
$889$	−83.6513			−2.80558
$890$	0.250623	+	8.28567i	0.00840091	+	0.277736i
$891$	9.92318	+	11.8260i	0.332439	+	0.396185i
$892$	1.24680	+	20.5910i	0.0417460	+	0.689436i
$893$	−5.99299	+	2.79458i	−0.200548	+	0.0935169i
$894$	−30.4762	+	27.1844i	−1.01928	+	0.909182i
$895$	−0.0306204	+	0.0841289i	−0.00102353	+	0.00281212i
$896$	−7.71643	+	55.8081i	−0.257788	+	1.86442i
$897$	6.12629	−	34.7439i	0.204551	−	1.16007i
$898$	−15.2891	−	30.3561i	−0.510205	−	1.01300i
$899$	−1.07797	−	0.622365i	−0.0359522	−	0.0207570i
$900$	−15.6687	−	16.5316i	−0.522291	−	0.551052i
$901$	5.79285	+	4.05620i	0.192988	+	0.135131i
$902$	−19.3397	−	6.38380i	−0.643941	−	0.212557i
$903$	−45.7143	−	21.3169i	−1.52128	−	0.709383i
$904$	35.8010	−	6.44008i	1.19072	−	0.214194i
$905$	2.65386	−	1.85825i	0.0882171	−	0.0617703i
$906$	−56.6193	−	8.22703i	−1.88105	−	0.273325i
$907$	29.4537	+	2.57687i	0.977995	+	0.0855634i	0.564931	−	0.825138i	$-0.308903\pi$
$907$	29.4537	+	2.57687i	0.977995	+	0.0855634i	0.413064	+	0.910702i	$0.364459\pi$
$908$	−12.2393	−	22.5747i	−0.406174	−	0.749168i
$909$	29.6722	−	10.7998i	0.984164	−	0.358206i
$910$	−10.1148	+	18.8109i	−0.335304	+	0.623575i
$911$	16.6710	+	4.46697i	0.552333	+	0.147997i	0.524182	−	0.851606i	$-0.324371\pi$
$911$	16.6710	+	4.46697i	0.552333	+	0.147997i	0.0281516	+	0.999604i	$0.491038\pi$
$912$	5.72257	+	6.37116i	0.189493	+	0.210970i
$913$	7.73207	−	9.21472i	0.255894	−	0.304963i
$914$	30.3067	−	46.1948i	1.00246	−	1.52799i
$915$	31.4294	−	18.1458i	1.03902	−	0.599880i
$916$	−1.93886	+	6.53087i	−0.0640618	+	0.215786i
$917$	−44.1150	+	11.8206i	−1.45681	+	0.390350i
$918$	0.00421318	−	0.00979822i	0.000139056	−	0.000323389i
$919$	5.49455	+	5.49455i	0.181249	+	0.181249i	0.791900	−	0.610651i	$-0.209092\pi$
$919$	5.49455	+	5.49455i	0.181249	+	0.181249i	−0.610651	+	0.791900i	$0.709092\pi$
$920$	−15.5595	+	4.22674i	−0.512982	+	0.139351i
$921$	2.99508	+	16.9860i	0.0986914	+	0.559706i
$922$	−25.0525	−	33.5706i	−0.825059	−	1.10559i
$923$	2.28656	+	26.1355i	0.0752630	+	0.860260i
$924$	−41.5224	−	4.75652i	−1.36599	−	0.156478i
$925$	21.9589	−	7.21653i	0.722005	−	0.237278i
$926$	1.32792	−	23.2601i	0.0436380	−	0.764375i
$927$	0.840308	+	9.60476i	0.0275993	+	0.315462i
$928$	41.1927	−	18.0504i	1.35222	−	0.592532i
$929$	−4.60110	+	0.811298i	−0.150957	+	0.0266178i	−0.248616	−	0.968602i	$-0.579976\pi$
$929$	−4.60110	+	0.811298i	−0.150957	+	0.0266178i	0.0976588	+	0.995220i	$0.468865\pi$
$930$	−0.219934	−	0.551757i	−0.00721191	−	0.0180928i
$931$	11.0024	+	11.0024i	0.360589	+	0.360589i
$932$	−13.7473	−	6.86462i	−0.450308	−	0.224858i
$933$	−15.6365	−	58.3562i	−0.511916	−	1.91050i
$934$	−10.5758	+	44.8528i	−0.346052	+	1.46763i
$935$	−1.68286	+	0.971598i	−0.0550353	+	0.0317746i
$936$	−15.0229	+	18.0296i	−0.491040	+	0.589314i
$937$	34.0334	+	28.5575i	1.11182	+	0.932931i	0.998163	−	0.0605882i	$-0.0192976\pi$
$937$	34.0334	+	28.5575i	1.11182	+	0.932931i	0.113661	+	0.993520i	$0.463742\pi$
$938$	49.8452	+	39.3194i	1.62750	+	1.28383i
$939$	−64.2844	−	17.2249i	−2.09784	−	0.562115i
$940$	−8.66701	+	14.1239i	−0.282687	+	0.460672i
$941$	7.18593	+	19.7432i	0.234254	+	0.643609i	1.00000		0.000465089i	$0.000148042\pi$
$941$	7.18593	+	19.7432i	0.234254	+	0.643609i	−0.765745	+	0.643144i	$0.777630\pi$
$942$	5.41241	+	8.75232i	0.176346	+	0.285166i
$943$	−43.5654	−	3.81148i	−1.41868	−	0.124119i
$944$	−7.16750	−	2.33852i	−0.233282	−	0.0761125i
$945$	−0.0227958	−	0.0325557i	−0.000741546	−	0.00105904i
$946$	−2.88588	−	9.59932i	−0.0938280	−	0.312101i
$947$	20.9684	+	9.77774i	0.681383	+	0.317734i	0.732313	−	0.680968i	$-0.238441\pi$
$947$	20.9684	+	9.77774i	0.681383	+	0.317734i	−0.0509304	+	0.998702i	$0.516219\pi$
$948$	11.1418	+	4.39671i	0.361868	+	0.142799i
$949$	23.2049	−	33.1400i	0.753263	−	1.07577i
$950$	−3.22020	+	3.42109i	−0.104477	+	0.110995i
$951$	3.32935	+	1.92220i	0.107961	+	0.0623316i
$952$	5.03390	+	13.6835i	0.163150	+	0.443485i
$953$	−20.5000	−	3.61471i	−0.664061	−	0.117092i	−0.168550	−	0.985693i	$-0.553908\pi$
$953$	−20.5000	−	3.61471i	−0.664061	−	0.117092i	−0.495512	+	0.868601i	$0.665019\pi$
$954$	28.3500	−	5.88780i	0.917866	−	0.190625i
$955$	−6.43559	+	17.6816i	−0.208251	+	0.572164i
$956$	−18.5170	−	23.3082i	−0.598883	−	0.753841i
$957$	14.0998	+	30.2371i	0.455782	+	0.977427i
$958$	−57.8801	+	6.83267i	−1.87002	+	0.220754i
$959$	−39.5302	−	47.1103i	−1.27650	−	1.52127i
$960$	20.7677	+	5.41143i	0.670276	+	0.174653i
$961$		−	30.9755i		−	0.999209i
$962$	−10.0366	−	21.5973i	−0.323593	−	0.696325i
$963$	30.4493			0.981216
$964$	29.6134	+	0.793513i	0.953783	+	0.0255573i
$965$	−19.3497	+	16.2363i	−0.622890	+	0.522667i
$966$	−89.1248	+	10.5211i	−2.86754	+	0.338510i
$967$	55.3841	−	25.8260i	1.78103	−	0.830510i	0.811969	−	0.583700i	$-0.198396\pi$
$967$	55.3841	−	25.8260i	1.78103	−	0.830510i	0.969064	−	0.246810i	$-0.0793822\pi$
$968$	13.1460	+	18.6373i	0.422529	+	0.599026i
$969$	2.08259	+	0.758002i	0.0669025	+	0.0243505i
$970$	2.28031	+	10.9798i	0.0732165	+	0.352540i
$971$	8.82249	−	50.0348i	0.283127	−	1.60569i	−0.428773	−	0.903412i	$-0.641054\pi$
$971$	8.82249	−	50.0348i	0.283127	−	1.60569i	0.711900	−	0.702281i	$-0.247835\pi$
$972$	−17.5522	−	40.4346i	−0.562986	−	1.29694i
$973$	46.7208	−	80.9228i	1.49780	−	2.59427i
$974$	23.5407	−	25.0093i	0.754294	−	0.801349i
$975$	−21.1036	−	14.7769i	−0.675855	−	0.473239i
$976$	25.4627	−	47.7479i	0.815042	−	1.52837i
$977$	−8.99473	+	19.2893i	−0.287767	+	0.617118i	−0.996048	−	0.0888121i	$-0.971693\pi$
$977$	−8.99473	+	19.2893i	−0.287767	+	0.617118i	0.708282	+	0.705930i	$0.249471\pi$
$978$	24.8349	−	7.46619i	0.794131	−	0.238742i
$979$	−7.51088	+	5.25918i	−0.240049	+	0.168084i
$980$	38.2055	+	7.79724i	1.22043	+	0.249074i
$981$	−3.66343	+	41.8732i	−0.116964	+	1.33691i
$982$	−8.06247	−	13.0377i	−0.257284	−	0.416049i
$983$	38.4351	−	13.9892i	1.22589	−	0.446187i	0.353701	−	0.935359i	$-0.384923\pi$
$983$	38.4351	−	13.9892i	1.22589	−	0.446187i	0.872188	+	0.489172i	$0.162701\pi$
$984$	47.7973	+	33.2229i	1.52372	+	1.05911i
$985$	3.93941	−	14.7021i	0.125520	−	0.468447i
$986$	7.20833	−	9.13800i	0.229560	−	0.291013i
$987$	−59.2880	+	70.6567i	−1.88716	+	2.24903i
$988$	3.88953	+	2.88177i	0.123742	+	0.0916812i
$989$	−10.7619	−	18.6402i	−0.342209	−	0.592724i
$990$	−1.82595	+	7.74396i	−0.0580325	+	0.246119i
$991$	19.2329	−	5.15345i	0.610954	−	0.163705i	0.0599419	−	0.998202i	$-0.480908\pi$
$991$	19.2329	−	5.15345i	0.610954	−	0.163705i	0.551012	+	0.834497i	$0.314242\pi$
$992$	−0.713433	−	0.524784i	−0.0226515	−	0.0166619i
$993$	32.0346	−	32.0346i	1.01659	−	1.01659i
$994$	61.9930	−	24.7108i	1.96630	−	0.783779i
$995$	0.196800	+	1.11611i	0.00623896	+	0.0353829i
$996$	−28.6812	+	18.9585i	−0.908798	+	0.600724i
$997$	−22.4765	+	1.96644i	−0.711839	+	0.0622778i	−0.437323	−	0.899305i	$-0.644073\pi$
$997$	−22.4765	+	1.96644i	−0.711839	+	0.0622778i	−0.274516	+	0.961583i	$0.588518\pi$
$998$	1.20467	−	21.1013i	0.0381332	−	0.667951i
$999$	0.0442942	+	0.00139782i	0.00140141	+	4.42250e-5i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	296.2.bj.a.19.1	✓	432
8.3	odd	2	inner	296.2.bj.a.19.3	yes	432
37.2	odd	36	inner	296.2.bj.a.187.3	yes	432
296.187	even	36	inner	296.2.bj.a.187.1	yes	432

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
296.2.bj.a.19.1	✓	432	1.1	even	1	trivial
296.2.bj.a.19.3	yes	432	8.3	odd	2	inner
296.2.bj.a.187.1	yes	432	296.187	even	36	inner
296.2.bj.a.187.3	yes	432	37.2	odd	36	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 296 = 2^{3} \cdot 37 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	296.bj (of order \(36\), degree \(12\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.41357 + 0.0427573i) q^{2} +(-1.57411 - 1.87595i) q^{3} +(1.99634 - 0.120881i) q^{4} +(-0.992822 + 0.462961i) q^{5} +(2.30532 + 2.58448i) q^{6} +(1.70316 - 4.67940i) q^{7} +(-2.81680 + 0.256231i) q^{8} +(-0.520428 + 2.95149i) q^{9} +(1.38363 - 0.696876i) q^{10} +(1.48403 + 0.856803i) q^{11} +(-3.36923 - 3.55477i) q^{12} +(-2.26781 - 1.58794i) q^{13} +(-2.20746 + 6.68747i) q^{14} +(2.43130 + 1.13374i) q^{15} +(3.97078 - 0.482638i) q^{16} +(0.847958 - 0.593747i) q^{17} +(0.609462 - 4.19439i) q^{18} +(-0.870934 - 0.0761968i) q^{19} +(-1.92605 + 1.04424i) q^{20} +(-11.4593 + 4.17085i) q^{21} +(-2.13440 - 1.14770i) q^{22} +(-5.02643 - 1.34683i) q^{23} +(4.91463 + 4.88084i) q^{24} +(-2.44257 + 2.91095i) q^{25} +(3.27360 + 2.14770i) q^{26} +(-0.00630947 + 0.00364278i) q^{27} +(2.83445 - 9.54758i) q^{28} +(-7.67944 + 2.05770i) q^{29} +(-3.48529 - 1.49866i) q^{30} +(0.110707 + 0.110707i) q^{31} +(-5.59232 + 0.852021i) q^{32} +(-0.728700 - 4.13267i) q^{33} +(-1.17326 + 0.875557i) q^{34} +(0.475441 + 5.43431i) q^{35} +(-0.682175 + 5.95510i) q^{36} +(-5.16927 - 3.20603i) q^{37} +(1.23438 + 0.0704706i) q^{38} +(0.590891 + 6.75391i) q^{39} +(2.67795 - 1.55846i) q^{40} +(8.27623 - 1.45932i) q^{41} +(16.0202 - 6.38574i) q^{42} +(2.92475 + 2.92475i) q^{43} +(3.06620 + 1.53108i) q^{44} +(-0.849733 - 3.17125i) q^{45} +(7.16279 + 1.68892i) q^{46} +(6.55024 - 3.78178i) q^{47} +(-7.15585 - 6.68926i) q^{48} +(-13.6337 - 11.4401i) q^{49} +(3.32828 - 4.21926i) q^{50} +(-2.44862 - 0.656106i) q^{51} +(-4.71929 - 2.89594i) q^{52} +(2.33652 + 6.41953i) q^{53} +(0.00876311 - 0.00541908i) q^{54} +(-1.87004 - 0.163607i) q^{55} +(-3.59846 + 13.6173i) q^{56} +(1.22800 + 1.75377i) q^{57} +(10.7674 - 3.23705i) q^{58} +(-1.70824 - 0.796566i) q^{59} +(4.99077 + 1.96943i) q^{60} +(7.75948 - 11.0817i) q^{61} +(-0.161225 - 0.151758i) q^{62} +(12.9249 + 7.46217i) q^{63} +(7.86869 - 1.44350i) q^{64} +(2.98669 + 0.526634i) q^{65} +(1.20677 + 5.81064i) q^{66} +(3.08329 - 8.47128i) q^{67} +(1.62104 - 1.28782i) q^{68} +(5.38558 + 11.5494i) q^{69} +(-0.904424 - 7.66144i) q^{70} +(-6.09131 - 7.25934i) q^{71} +(0.709676 - 8.44711i) q^{72} +14.6132i q^{73} +(7.44420 + 4.31091i) q^{74} +9.30568 q^{75} +(-1.74789 - 0.0468361i) q^{76} +(6.53687 - 5.48508i) q^{77} +(-1.12404 - 9.52184i) q^{78} +(-2.21646 + 1.03355i) q^{79} +(-3.71883 + 2.31749i) q^{80} +(8.46561 + 3.08123i) q^{81} +(-11.6366 + 2.41672i) q^{82} +(1.21895 - 6.91304i) q^{83} +(-22.3725 + 9.71165i) q^{84} +(-0.566990 + 0.982056i) q^{85} +(-4.25939 - 4.00928i) q^{86} +(15.9484 + 11.1672i) q^{87} +(-4.39974 - 2.03319i) q^{88} +(-2.26133 + 4.84944i) q^{89} +(1.33675 + 4.44644i) q^{90} +(-11.2931 + 7.90750i) q^{91} +(-10.1973 - 2.08113i) q^{92} +(0.0334159 - 0.381946i) q^{93} +(-9.09751 + 5.62588i) q^{94} +(0.899958 - 0.327558i) q^{95} +(10.4013 + 9.14976i) q^{96} +(-1.87348 + 6.99194i) q^{97} +(19.7614 + 15.5884i) q^{98} +(-3.30118 + 3.93419i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 432 q - 12 q^{2} - 24 q^{3} - 18 q^{4} - 12 q^{6} - 6 q^{8} - 24 q^{9} - 6 q^{10} - 36 q^{11} - 12 q^{12} - 12 q^{14} + 18 q^{16} - 24 q^{17} - 42 q^{18} - 24 q^{19} - 12 q^{20} - 24 q^{22} - 84 q^{24}+ \cdots - 132 q^{99}+O(q^{100}) \) 432 * q - 12 * q^2 - 24 * q^3 - 18 * q^4 - 12 * q^6 - 6 * q^8 - 24 * q^9 - 6 * q^10 - 36 * q^11 - 12 * q^12 - 12 * q^14 + 18 * q^16 - 24 * q^17 - 42 * q^18 - 24 * q^19 - 12 * q^20 - 24 * q^22 - 84 * q^24 - 12 * q^25 - 6 * q^26 - 36 * q^27 - 12 * q^28 - 36 * q^30 - 42 * q^32 - 60 * q^33 - 12 * q^34 - 24 * q^35 + 60 * q^38 - 12 * q^40 - 24 * q^41 - 12 * q^42 - 6 * q^44 + 48 * q^46 - 18 * q^48 + 24 * q^49 - 42 * q^50 + 96 * q^51 - 42 * q^52 - 72 * q^54 - 12 * q^56 - 24 * q^57 + 48 * q^58 - 24 * q^59 + 144 * q^60 - 72 * q^62 + 108 * q^64 - 84 * q^65 - 168 * q^66 - 24 * q^67 - 18 * q^68 - 186 * q^70 + 234 * q^72 - 150 * q^74 - 48 * q^75 + 42 * q^76 - 222 * q^78 + 120 * q^80 - 60 * q^81 - 24 * q^82 - 24 * q^83 + 126 * q^84 - 54 * q^86 - 24 * q^89 + 72 * q^90 - 24 * q^91 + 114 * q^92 - 24 * q^94 + 72 * q^96 - 24 * q^97 - 114 * q^98 - 132 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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