LMFDB - Embedded newform 252.2.o.a.95.11

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [252,2,Mod(95,252)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(252, base_ring=CyclotomicField(6))

chi = DirichletCharacter(H, H._module([3, 5, 4]))

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

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

chi := DirichletCharacter("252.95");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 252 = 2^{2} \cdot 3^{2} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	252.o (of order $6$, degree $2$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$2.01223013094$
Analytic rank:	$0$
Dimension:	$88$
Relative dimension:	$44$ over $\Q(\zeta_{6})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			95.11
Character	$\chi$	$=$	252.95
Dual form			252.2.o.a.191.11

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.10868 - 0.877970i) q^{2} +(-1.73204 - 0.00507424i) q^{3} +(0.458336 + 1.94677i) q^{4} +0.202205i q^{5} +(1.91582 + 1.52631i) q^{6} +(0.546403 - 2.58871i) q^{7} +(1.20106 - 2.56075i) q^{8} +(2.99995 + 0.0175776i) q^{9} +O(q^{10})$	\(q+(-1.10868 - 0.877970i) q^{2} +(-1.73204 - 0.00507424i) q^{3} +(0.458336 + 1.94677i) q^{4} +0.202205i q^{5} +(1.91582 + 1.52631i) q^{6} +(0.546403 - 2.58871i) q^{7} +(1.20106 - 2.56075i) q^{8} +(2.99995 + 0.0175776i) q^{9} +(0.177530 - 0.224181i) q^{10} -4.83422 q^{11} +(-0.783980 - 3.37422i) q^{12} +(-2.16689 + 3.75317i) q^{13} +(-2.87860 + 2.39033i) q^{14} +(0.00102604 - 0.350228i) q^{15} +(-3.57986 + 1.78455i) q^{16} +(-5.56689 - 3.21404i) q^{17} +(-3.31055 - 2.65335i) q^{18} +(-1.22975 + 0.709998i) q^{19} +(-0.393648 + 0.0926780i) q^{20} +(-0.959530 + 4.48099i) q^{21} +(5.35959 + 4.24430i) q^{22} -2.54536 q^{23} +(-2.09328 + 4.42924i) q^{24} +4.95911 q^{25} +(5.69756 - 2.25859i) q^{26} +(-5.19595 - 0.0456677i) q^{27} +(5.29008 - 0.122779i) q^{28} +(-2.74589 + 1.58534i) q^{29} +(-0.308628 + 0.387390i) q^{30} +(-6.54790 + 3.78043i) q^{31} +(5.53569 + 1.16451i) q^{32} +(8.37307 + 0.0245300i) q^{33} +(3.35005 + 8.45090i) q^{34} +(0.523452 + 0.110486i) q^{35} +(1.34077 + 5.84828i) q^{36} +(-4.99052 - 8.64383i) q^{37} +(1.98676 + 0.292527i) q^{38} +(3.77220 - 6.48966i) q^{39} +(0.517797 + 0.242861i) q^{40} +(-3.57331 - 2.06305i) q^{41} +(4.99799 - 4.12554i) q^{42} +(1.29499 - 0.747664i) q^{43} +(-2.21570 - 9.41113i) q^{44} +(-0.00355429 + 0.606605i) q^{45} +(2.82199 + 2.23475i) q^{46} +(3.01603 - 5.22392i) q^{47} +(6.20952 - 3.07276i) q^{48} +(-6.40289 - 2.82896i) q^{49} +(-5.49806 - 4.35395i) q^{50} +(9.62578 + 5.59511i) q^{51} +(-8.29974 - 2.49824i) q^{52} +(2.13838 + 1.23459i) q^{53} +(5.72055 + 4.61252i) q^{54} -0.977504i q^{55} +(-5.97279 - 4.50841i) q^{56} +(2.13359 - 1.22351i) q^{57} +(4.43619 + 0.653177i) q^{58} +(5.82647 + 10.0917i) q^{59} +(0.682285 - 0.158525i) q^{60} +(0.0789686 - 0.136778i) q^{61} +(10.5786 + 1.55758i) q^{62} +(1.68468 - 7.75641i) q^{63} +(-5.11490 - 6.15124i) q^{64} +(-0.758911 - 0.438157i) q^{65} +(-9.26151 - 7.37851i) q^{66} +(6.10030 - 3.52201i) q^{67} +(3.70551 - 12.3106i) q^{68} +(4.40868 + 0.0129158i) q^{69} +(-0.483337 - 0.582068i) q^{70} +7.56377 q^{71} +(3.64814 - 7.66101i) q^{72} +(-1.30527 + 2.26080i) q^{73} +(-2.05615 + 13.9648i) q^{74} +(-8.58940 - 0.0251637i) q^{75} +(-1.94585 - 2.06863i) q^{76} +(-2.64143 + 12.5144i) q^{77} +(-9.87989 + 3.88307i) q^{78} +(1.45651 + 0.840918i) q^{79} +(-0.360846 - 0.723866i) q^{80} +(8.99938 + 0.105464i) q^{81} +(2.15036 + 5.42453i) q^{82} +(1.01022 + 1.74974i) q^{83} +(-9.16327 + 0.185815i) q^{84} +(0.649896 - 1.12565i) q^{85} +(-2.09216 - 0.308045i) q^{86} +(4.76404 - 2.73194i) q^{87} +(-5.80619 + 12.3792i) q^{88} +(-9.82895 + 5.67475i) q^{89} +(0.536522 - 0.669410i) q^{90} +(8.53189 + 7.66022i) q^{91} +(-1.16663 - 4.95525i) q^{92} +(11.3604 - 6.51465i) q^{93} +(-7.93025 + 3.14366i) q^{94} +(-0.143565 - 0.248662i) q^{95} +(-9.58215 - 2.04507i) q^{96} +(-5.44211 - 9.42600i) q^{97} +(4.61500 + 8.75796i) q^{98} +(-14.5024 - 0.0849740i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 88 q - 3 q^{2} + q^{4} - 6 q^{6} - 2 q^{9}+O(q^{10}) $ 88 * q - 3 * q^2 + q^4 - 6 * q^6 - 2 * q^9	$ 88 q - 3 q^{2} + q^{4} - 6 q^{6} - 2 q^{9} + 2 q^{10} + 3 q^{12} - 4 q^{13} - 3 q^{14} + q^{16} + 5 q^{18} - 6 q^{20} - 6 q^{22} - 14 q^{24} - 60 q^{25} - 6 q^{26} - 24 q^{29} + 22 q^{30} + 27 q^{32} - 26 q^{33} - 4 q^{34} + 2 q^{36} - 4 q^{37} + 8 q^{40} - 12 q^{41} - 13 q^{42} - 57 q^{44} + 42 q^{45} - 6 q^{46} - 43 q^{48} - 2 q^{49} + 9 q^{50} + 14 q^{52} - 22 q^{54} - 66 q^{56} - 28 q^{57} - 10 q^{58} + 32 q^{60} + 2 q^{61} - 8 q^{64} + 18 q^{65} - 93 q^{66} - 6 q^{69} + 30 q^{70} + 53 q^{72} - 4 q^{73} - 6 q^{76} - 30 q^{77} + 55 q^{78} + 87 q^{80} + 26 q^{81} - 4 q^{82} - 7 q^{84} - 14 q^{85} - 18 q^{88} + 60 q^{89} + 41 q^{90} + 24 q^{92} - 30 q^{93} + 9 q^{94} - 20 q^{96} - 4 q^{97} - 57 q^{98}+O(q^{100}) $ 88 * q - 3 * q^2 + q^4 - 6 * q^6 - 2 * q^9 + 2 * q^10 + 3 * q^12 - 4 * q^13 - 3 * q^14 + q^16 + 5 * q^18 - 6 * q^20 - 6 * q^22 - 14 * q^24 - 60 * q^25 - 6 * q^26 - 24 * q^29 + 22 * q^30 + 27 * q^32 - 26 * q^33 - 4 * q^34 + 2 * q^36 - 4 * q^37 + 8 * q^40 - 12 * q^41 - 13 * q^42 - 57 * q^44 + 42 * q^45 - 6 * q^46 - 43 * q^48 - 2 * q^49 + 9 * q^50 + 14 * q^52 - 22 * q^54 - 66 * q^56 - 28 * q^57 - 10 * q^58 + 32 * q^60 + 2 * q^61 - 8 * q^64 + 18 * q^65 - 93 * q^66 - 6 * q^69 + 30 * q^70 + 53 * q^72 - 4 * q^73 - 6 * q^76 - 30 * q^77 + 55 * q^78 + 87 * q^80 + 26 * q^81 - 4 * q^82 - 7 * q^84 - 14 * q^85 - 18 * q^88 + 60 * q^89 + 41 * q^90 + 24 * q^92 - 30 * q^93 + 9 * q^94 - 20 * q^96 - 4 * q^97 - 57 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/252\mathbb{Z}\right)^\times$.

$n$	$29$	$73$	$127$
$\chi(n)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{2}{3}\right)$	$-1$

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 $

$2$	−1.10868	−	0.877970i	−0.783954	−	0.620819i
$2$	−1.10868	−	0.877970i	−0.783954	−	0.620819i
$3$	−1.73204	−	0.00507424i	−0.999996	−	0.00292962i
$3$	−1.73204	−	0.00507424i	−0.999996	−	0.00292962i
$4$	0.458336	+	1.94677i	0.229168	+	0.973387i
$5$			0.202205i			0.0904289i	0.998977	+	0.0452145i	$0.0143971\pi$
$5$			0.202205i			0.0904289i	−0.998977	+	0.0452145i	$0.985603\pi$
$6$	1.91582	+	1.52631i	0.782132	+	0.623113i
$7$	0.546403	−	2.58871i	0.206521	−	0.978442i
$7$	0.546403	−	2.58871i	0.206521	−	0.978442i
$8$	1.20106	−	2.56075i	0.424639	−	0.905363i
$9$	2.99995	+	0.0175776i	0.999983	+	0.00585921i
$10$	0.177530	−	0.224181i	0.0561400	−	0.0708921i
$11$	−4.83422			−1.45757			−0.728786	−	0.684742i	$-0.759915\pi$
$11$	−4.83422			−1.45757			−0.728786	+	0.684742i	$0.759915\pi$
$12$	−0.783980	−	3.37422i	−0.226316	−	0.974054i
$13$	−2.16689	+	3.75317i	−0.600988	+	1.04094i	0.391683	+	0.920100i	$0.371893\pi$
$13$	−2.16689	+	3.75317i	−0.600988	+	1.04094i	−0.992672	+	0.120842i	$0.961440\pi$
$14$	−2.87860	+	2.39033i	−0.769338	+	0.638842i
$15$	0.00102604	−	0.350228i	0.000264922	−	0.0904285i
$16$	−3.57986	+	1.78455i	−0.894964	+	0.446139i
$17$	−5.56689	−	3.21404i	−1.35017	−	0.779520i	−0.361895	−	0.932219i	$-0.617870\pi$
$17$	−5.56689	−	3.21404i	−1.35017	−	0.779520i	−0.988273	+	0.152699i	$0.951204\pi$
$18$	−3.31055	−	2.65335i	−0.780303	−	0.625401i
$19$	−1.22975	+	0.709998i	−0.282125	+	0.162885i	−0.634385	−	0.773017i	$-0.718747\pi$
$19$	−1.22975	+	0.709998i	−0.282125	+	0.162885i	0.352260	+	0.935902i	$0.385413\pi$
$20$	−0.393648	+	0.0926780i	−0.0880223	+	0.0207234i
$21$	−0.959530	+	4.48099i	−0.209387	+	0.977833i
$22$	5.35959	+	4.24430i	1.14267	+	0.904887i
$23$	−2.54536			−0.530745			−0.265372	−	0.964146i	$-0.585495\pi$
$23$	−2.54536			−0.530745			−0.265372	+	0.964146i	$0.585495\pi$
$24$	−2.09328	+	4.42924i	−0.427290	+	0.904115i
$25$	4.95911			0.991823
$26$	5.69756	−	2.25859i	1.11738	−	0.442946i
$27$	−5.19595	−	0.0456677i	−0.999961	−	0.00878874i
$28$	5.29008	−	0.122779i	0.999731	−	0.0232030i
$29$	−2.74589	+	1.58534i	−0.509899	+	0.294390i	−0.732792	−	0.680453i	$-0.761783\pi$
$29$	−2.74589	+	1.58534i	−0.509899	+	0.294390i	0.222893	+	0.974843i	$0.428450\pi$
$30$	−0.308628	+	0.387390i	−0.0563474	+	0.0707274i
$31$	−6.54790	+	3.78043i	−1.17604	+	0.678986i	−0.955095	−	0.296301i	$-0.904247\pi$
$31$	−6.54790	+	3.78043i	−1.17604	+	0.678986i	−0.220943	+	0.975287i	$0.570914\pi$
$32$	5.53569	+	1.16451i	0.978582	+	0.205858i
$33$	8.37307	+	0.0245300i	1.45756	+	0.00427012i
$34$	3.35005	+	8.45090i	0.574529	+	1.44932i
$35$	0.523452	+	0.110486i	0.0884795	+	0.0186755i
$36$	1.34077	+	5.84828i	0.223461	+	0.974713i
$37$	−4.99052	−	8.64383i	−0.820436	−	1.42104i	−0.905358	−	0.424649i	$-0.860397\pi$
$37$	−4.99052	−	8.64383i	−0.820436	−	1.42104i	0.0849217	−	0.996388i	$-0.472936\pi$
$38$	1.98676	+	0.292527i	0.322295	+	0.0474541i
$39$	3.77220	−	6.48966i	0.604035	−	1.03918i
$40$	0.517797	+	0.242861i	0.0818710	+	0.0383997i
$41$	−3.57331	−	2.06305i	−0.558058	−	0.322195i	0.194308	−	0.980941i	$-0.437754\pi$
$41$	−3.57331	−	2.06305i	−0.558058	−	0.322195i	−0.752366	+	0.658746i	$0.771087\pi$
$42$	4.99799	−	4.12554i	0.771206	−	0.636585i
$43$	1.29499	−	0.747664i	0.197484	−	0.114018i	−0.397997	−	0.917387i	$-0.630295\pi$
$43$	1.29499	−	0.747664i	0.197484	−	0.114018i	0.595482	+	0.803369i	$0.296961\pi$
$44$	−2.21570	−	9.41113i	−0.334029	−	1.41878i
$45$	−0.00355429	+	0.606605i	−0.000529842	+	0.0904274i
$46$	2.82199	+	2.23475i	0.416080	+	0.329496i
$47$	3.01603	−	5.22392i	0.439933	−	0.761986i	−0.557751	−	0.830008i	$-0.688336\pi$
$47$	3.01603	−	5.22392i	0.439933	−	0.761986i	0.997684	+	0.0680221i	$0.0216688\pi$
$48$	6.20952	−	3.07276i	0.896267	−	0.443515i
$49$	−6.40289	−	2.82896i	−0.914698	−	0.404138i
$50$	−5.49806	−	4.35395i	−0.777543	−	0.615742i
$51$	9.62578	+	5.59511i	1.34788	+	0.783472i
$52$	−8.29974	−	2.49824i	−1.15097	−	0.346443i
$53$	2.13838	+	1.23459i	0.293728	+	0.169584i	0.639622	−	0.768690i	$-0.279091\pi$
$53$	2.13838	+	1.23459i	0.293728	+	0.169584i	−0.345894	+	0.938274i	$0.612424\pi$
$54$	5.72055	+	4.61252i	0.778468	+	0.627685i
$55$		−	0.977504i		−	0.131807i
$56$	−5.97279	−	4.50841i	−0.798148	−	0.602461i
$57$	2.13359	−	1.22351i	0.282601	−	0.162058i
$58$	4.43619	+	0.653177i	0.582500	+	0.0857663i
$59$	5.82647	+	10.0917i	0.758542	+	1.31383i	0.943594	+	0.331104i	$0.107421\pi$
$59$	5.82647	+	10.0917i	0.758542	+	1.31383i	−0.185053	+	0.982729i	$0.559246\pi$
$60$	0.682285	−	0.158525i	0.0880827	−	0.0204655i
$61$	0.0789686	−	0.136778i	0.0101109	−	0.0175126i	−0.860926	−	0.508731i	$-0.830115\pi$
$61$	0.0789686	−	0.136778i	0.0101109	−	0.0175126i	0.871037	+	0.491218i	$0.163448\pi$
$62$	10.5786	+	1.55758i	1.34349	+	0.197813i
$63$	1.68468	−	7.75641i	0.212250	−	0.977215i
$64$	−5.11490	−	6.15124i	−0.639363	−	0.768905i
$65$	−0.758911	−	0.438157i	−0.0941313	−	0.0543467i
$66$	−9.26151	−	7.37851i	−1.14001	−	0.908231i
$67$	6.10030	−	3.52201i	0.745270	−	0.430282i	−0.0787125	−	0.996897i	$-0.525081\pi$
$67$	6.10030	−	3.52201i	0.745270	−	0.430282i	0.823982	+	0.566616i	$0.191748\pi$
$68$	3.70551	−	12.3106i	0.449359	−	1.49288i
$69$	4.40868	+	0.0129158i	0.530743	+	0.00155488i
$70$	−0.483337	−	0.582068i	−0.0577698	−	0.0695704i
$71$	7.56377			0.897654			0.448827	−	0.893619i	$-0.351842\pi$
$71$	7.56377			0.897654			0.448827	+	0.893619i	$0.351842\pi$
$72$	3.64814	−	7.66101i	0.429937	−	0.902859i
$73$	−1.30527	+	2.26080i	−0.152770	+	0.264606i	−0.932245	−	0.361828i	$-0.882153\pi$
$73$	−1.30527	+	2.26080i	−0.152770	+	0.264606i	0.779475	+	0.626434i	$0.215486\pi$
$74$	−2.05615	+	13.9648i	−0.239022	+	1.62337i
$75$	−8.58940	−	0.0251637i	−0.991818	−	0.00290566i
$76$	−1.94585	−	2.06863i	−0.223204	−	0.237288i
$77$	−2.64143	+	12.5144i	−0.301019	+	1.42615i
$78$	−9.87989	+	3.88307i	−1.11868	+	0.439671i
$79$	1.45651	+	0.840918i	0.163870	+	0.0946107i	0.579692	−	0.814835i	$-0.303173\pi$
$79$	1.45651	+	0.840918i	0.163870	+	0.0946107i	−0.415822	+	0.909446i	$0.636506\pi$
$80$	−0.360846	−	0.723866i	−0.0403438	−	0.0809306i
$81$	8.99938	+	0.105464i	0.999931	+	0.0117182i
$82$	2.15036	+	5.42453i	0.237467	+	0.599039i
$83$	1.01022	+	1.74974i	0.110886	+	0.192059i	0.916128	−	0.400887i	$-0.131298\pi$
$83$	1.01022	+	1.74974i	0.110886	+	0.192059i	−0.805242	+	0.592946i	$0.797965\pi$
$84$	−9.16327	+	0.185815i	−0.999794	+	0.0202741i
$85$	0.649896	−	1.12565i	0.0704912	−	0.122094i
$86$	−2.09216	−	0.308045i	−0.225603	−	0.0332174i
$87$	4.76404	−	2.73194i	0.510759	−	0.292895i
$88$	−5.80619	+	12.3792i	−0.618942	+	1.31963i
$89$	−9.82895	+	5.67475i	−1.04187	+	0.601522i	−0.920361	−	0.391069i	$-0.872105\pi$
$89$	−9.82895	+	5.67475i	−1.04187	+	0.601522i	−0.121505	+	0.992591i	$0.538772\pi$
$90$	0.536522	−	0.669410i	0.0565544	−	0.0705620i
$91$	8.53189	+	7.66022i	0.894385	+	0.803009i
$92$	−1.16663	−	4.95525i	−0.121630	−	0.516620i
$93$	11.3604	−	6.51465i	1.17802	−	0.675538i
$94$	−7.93025	+	3.14366i	−0.817943	+	0.324244i
$95$	−0.143565	−	0.248662i	−0.0147295	−	0.0255122i
$96$	−9.58215	−	2.04507i	−0.977975	−	0.208724i
$97$	−5.44211	−	9.42600i	−0.552562	−	0.957066i	−0.998089	−	0.0617969i	$-0.980317\pi$
$97$	−5.44211	−	9.42600i	−0.552562	−	0.957066i	0.445527	−	0.895269i	$-0.353016\pi$
$98$	4.61500	+	8.75796i	0.466185	+	0.884687i
$99$	−14.5024	−	0.0849740i	−1.45755	−	0.00854021i
$100$	2.27294	+	9.65427i	0.227294	+	0.965427i
$101$		−	3.18336i		−	0.316757i	−0.987379	−	0.158378i	$-0.949373\pi$
$101$		−	3.18336i		−	0.316757i	0.987379	−	0.158378i	$-0.0506266\pi$
$102$	−5.75956	−	14.6543i	−0.570281	−	1.45099i
$103$		−	0.339191i		−	0.0334215i	−0.999860	−	0.0167107i	$-0.994681\pi$
$103$		−	0.339191i		−	0.0334215i	0.999860	−	0.0167107i	$-0.00531944\pi$
$104$	7.00837	+	10.0567i	0.687227	+	0.986138i
$105$	−0.906080	−	0.194022i	−0.0884244	−	0.0189346i
$106$	−1.28684	−	3.24620i	−0.124989	−	0.315298i
$107$	−3.77595	−	6.54014i	−0.365035	−	0.632260i	0.623747	−	0.781627i	$-0.285610\pi$
$107$	−3.77595	−	6.54014i	−0.365035	−	0.632260i	−0.988782	+	0.149367i	$0.952276\pi$
$108$	−2.29259	−	10.1363i	−0.220604	−	0.975363i
$109$	6.90895	−	11.9667i	0.661758	−	1.14620i	−0.318396	−	0.947958i	$-0.603144\pi$
$109$	6.90895	−	11.9667i	0.661758	−	1.14620i	0.980154	−	0.198240i	$-0.0635225\pi$
$110$	−0.858219	+	1.08374i	−0.0818280	+	0.103330i
$111$	8.59993	+	14.9968i	0.816270	+	1.42343i
$112$	2.66366	+	10.2423i	0.251692	+	0.967807i
$113$	7.61000	+	4.39364i	0.715889	+	0.413319i	0.813238	−	0.581932i	$-0.197703\pi$
$113$	7.61000	+	4.39364i	0.715889	+	0.413319i	−0.0973488	+	0.995250i	$0.531036\pi$
$114$	−3.43967	−	0.516750i	−0.322154	−	0.0483981i
$115$		−	0.514686i		−	0.0479947i
$116$	−4.34484	−	4.61901i	−0.403408	−	0.428864i
$117$	−6.56654	+	11.2212i	−0.607077	+	1.03740i
$118$	2.40057	−	16.3040i	0.220990	−	1.50090i
$119$	−11.3620	+	12.6549i	−1.04155	+	1.16007i
$120$	−0.895615	−	0.423273i	−0.0817581	−	0.0386394i
$121$	12.3697			1.12451
$122$	−0.207638	+	0.0823104i	−0.0187986	+	0.00745203i
$123$	6.17867	+	3.59143i	0.557112	+	0.323828i
$124$	−10.3608	−	11.0146i	−0.930426	−	0.989138i
$125$			2.01378i			0.180118i
$126$	−8.67767	+	7.12026i	−0.773068	+	0.634323i
$127$			10.7199i			0.951234i	0.879652	+	0.475617i	$0.157775\pi$
$127$			10.7199i			0.951234i	−0.879652	+	0.475617i	$0.842225\pi$
$128$	0.270173	+	11.3105i	0.0238802	+	0.999715i
$129$	−2.24678	+	1.28842i	−0.197818	+	0.113439i
$130$	0.456699	+	1.15208i	0.0400552	+	0.101044i
$131$	4.73058			0.413313			0.206656	−	0.978414i	$-0.433742\pi$
$131$	4.73058			0.413313			0.206656	+	0.978414i	$0.433742\pi$
$132$	3.78993	+	16.3117i	0.329871	+	1.41975i
$133$	1.16604	+	3.57142i	0.101109	+	0.309682i
$134$	−9.85548	−	1.45110i	−0.851384	−	0.125356i
$135$	0.00923424	−	1.05065i	0.000794757	−	0.0904254i
$136$	−14.9165	+	10.3952i	−1.27908	+	0.891377i
$137$			2.72226i			0.232579i	0.993215	+	0.116289i	$0.0371000\pi$
$137$			2.72226i			0.232579i	−0.993215	+	0.116289i	$0.962900\pi$
$138$	−4.87647	−	3.88501i	−0.415113	−	0.330714i
$139$	−14.0543	−	8.11425i	−1.19207	−	0.688242i	−0.233294	−	0.972406i	$-0.574950\pi$
$139$	−14.0543	−	8.11425i	−1.19207	−	0.688242i	−0.958776	+	0.284164i	$0.908284\pi$
$140$	0.0248265	+	1.06968i	0.00209823	+	0.0904046i
$141$	−5.25040	+	9.03274i	−0.442163	+	0.760694i
$142$	−8.38579	−	6.64076i	−0.703720	−	0.557280i
$143$	10.4752	−	18.1436i	0.875983	−	1.51725i
$144$	−10.7708	+	5.29065i	−0.897563	+	0.440887i
$145$	−0.320564	−	0.555233i	−0.0266214	−	0.0461096i
$146$	3.43204	−	1.36051i	0.284037	−	0.112596i
$147$	11.0757	+	4.93238i	0.913510	+	0.406816i
$148$	14.5402	−	13.6772i	1.19520	−	1.12426i
$149$		−	2.08253i		−	0.170607i	−0.996355	−	0.0853037i	$-0.972814\pi$
$149$		−	2.08253i		−	0.170607i	0.996355	−	0.0853037i	$-0.0271861\pi$
$150$	9.50079	+	7.56914i	0.775736	+	0.618017i
$151$		−	11.5102i		−	0.936687i	−0.883546	−	0.468344i	$-0.844851\pi$
$151$		−	11.5102i		−	0.936687i	0.883546	−	0.468344i	$-0.155149\pi$
$152$	0.341120	+	4.00184i	0.0276685	+	0.324592i
$153$	−16.6439	−	9.73982i	−1.34558	−	0.787418i
$154$	13.9158	−	11.5554i	1.12137	−	0.931157i
$155$	−0.764423	−	1.32402i	−0.0614000	−	0.106348i
$156$	14.3628	+	4.36917i	1.14995	+	0.349814i
$157$	−3.15432	−	5.46343i	−0.251742	−	0.436030i	0.712264	−	0.701912i	$-0.247670\pi$
$157$	−3.15432	−	5.46343i	−0.251742	−	0.436030i	−0.964005	+	0.265882i	$0.914337\pi$
$158$	−0.876503	−	2.21108i	−0.0697309	−	0.175904i
$159$	−3.69749	−	2.14922i	−0.293230	−	0.170444i
$160$	−0.235470	+	1.11935i	−0.0186155	+	0.0884921i
$161$	−1.39079	+	6.58922i	−0.109610	+	0.519303i
$162$	−9.88483	−	8.01812i	−0.776625	−	0.629963i
$163$	−20.0077	+	11.5514i	−1.56712	+	0.904778i	−0.570619	+	0.821215i	$0.693297\pi$
$163$	−20.0077	+	11.5514i	−1.56712	+	0.904778i	−0.996503	+	0.0835628i	$0.973370\pi$
$164$	2.37852	−	7.90201i	0.185731	−	0.617043i
$165$	−0.00496009	+	1.69308i	−0.000386143	+	0.131806i
$166$	0.416219	−	2.82684i	0.0323049	−	0.219406i
$167$	0.745814	−	1.29179i	0.0577128	−	0.0999615i	−0.835726	−	0.549147i	$-0.814953\pi$
$167$	0.745814	−	1.29179i	0.0577128	−	0.0999615i	0.893438	+	0.449186i	$0.148286\pi$
$168$	10.3223	+	7.83907i	0.796380	+	0.604797i
$169$	−2.89086	−	5.00712i	−0.222374	−	0.385163i
$170$	−1.70882	+	0.677398i	−0.131060	+	0.0519541i
$171$	−3.70168	+	2.10834i	−0.283074	+	0.161229i
$172$	2.04907	+	2.17837i	0.156240	+	0.166100i
$173$	5.94534	+	3.43254i	0.452016	+	0.260971i	0.708681	−	0.705529i	$-0.249290\pi$
$173$	5.94534	+	3.43254i	0.452016	+	0.260971i	−0.256665	+	0.966500i	$0.582624\pi$
$174$	−7.68036	−	1.15384i	−0.582246	−	0.0874724i
$175$	2.70967	−	12.8377i	0.204832	−	0.970441i
$176$	17.3058	−	8.62692i	1.30447	−	0.650279i
$177$	−10.0405	−	17.5089i	−0.754689	−	1.31605i
$178$	15.8794	+	2.33806i	1.19021	+	0.175245i
$179$	−12.1423	+	21.0311i	−0.907557	+	1.57193i	−0.0901093	+	0.995932i	$0.528722\pi$
$179$	−12.1423	+	21.0311i	−0.907557	+	1.57193i	−0.817448	+	0.576003i	$0.804612\pi$
$180$	−1.18255	+	0.271110i	−0.0881422	+	0.0202073i
$181$	−8.08885			−0.601239			−0.300620	−	0.953744i	$-0.597193\pi$
$181$	−8.08885			−0.601239			−0.300620	+	0.953744i	$0.597193\pi$
$182$	−2.73368	−	15.9835i	−0.202634	−	1.18477i
$183$	−0.137471	+	0.236504i	−0.0101622	+	0.0174829i
$184$	−3.05714	+	6.51804i	−0.225375	+	0.480516i
$185$	1.74783	−	1.00911i	0.128503	−	0.0741912i
$186$	−18.3147	−	2.75147i	−1.34290	−	0.201748i
$187$	26.9115	+	15.5374i	1.96797	+	1.13621i
$188$	11.5521	+	3.47722i	0.842526	+	0.253602i
$189$	−2.95730	+	13.4259i	−0.215112	+	0.976589i
$190$	−0.0591504	+	0.401733i	−0.00429122	+	0.0291448i
$191$	8.89882	−	15.4132i	0.643896	−	1.11526i	−0.340659	−	0.940187i	$-0.610650\pi$
$191$	8.89882	−	15.4132i	0.643896	−	1.11526i	0.984555	−	0.175074i	$-0.0560164\pi$
$192$	8.82802	+	10.6802i	0.637107	+	0.770775i
$193$	2.10225	+	3.64120i	0.151323	+	0.262099i	0.931714	−	0.363193i	$-0.118313\pi$
$193$	2.10225	+	3.64120i	0.151323	+	0.262099i	−0.780391	+	0.625292i	$0.784980\pi$
$194$	−2.24221	+	15.2284i	−0.160981	+	1.09334i
$195$	1.31224	+	0.762759i	0.0939717	+	0.0546223i
$196$	2.57267	−	13.7616i	0.183762	−	0.982971i
$197$		−	19.8070i		−	1.41119i	−0.708616	−	0.705594i	$-0.750680\pi$
$197$		−	19.8070i		−	1.41119i	0.708616	−	0.705594i	$-0.249320\pi$
$198$	16.0039	+	12.8269i	1.13735	+	0.911567i
$199$	−3.75528	−	2.16811i	−0.266205	−	0.153694i	0.360957	−	0.932583i	$-0.382450\pi$
$199$	−3.75528	−	2.16811i	−0.266205	−	0.153694i	−0.627162	+	0.778889i	$0.715784\pi$
$200$	5.95620	−	12.6991i	0.421167	−	0.897959i
$201$	−10.5838	+	6.06931i	−0.746527	+	0.428096i
$202$	−2.79490	+	3.52933i	−0.196648	+	0.248323i
$203$	2.60363	+	7.97456i	0.182739	+	0.559704i
$204$	−6.48057	+	21.3037i	−0.453731	+	1.49155i
$205$	0.417160	−	0.722543i	0.0291357	−	0.0504646i
$206$	−0.297799	+	0.376054i	−0.0207487	+	0.0262009i
$207$	−7.63596	−	0.0447414i	−0.530736	−	0.00310974i
$208$	1.05943	−	17.3028i	0.0734584	−	1.19973i
$209$	5.94489	−	3.43229i	0.411217	−	0.237416i
$210$	0.834206	+	1.01062i	0.0575657	+	0.0697394i
$211$	−13.2054	−	7.62415i	−0.909099	−	0.524868i	−0.0289577	−	0.999581i	$-0.509219\pi$
$211$	−13.2054	−	7.62415i	−0.909099	−	0.524868i	−0.880141	+	0.474712i	$0.842552\pi$
$212$	−1.42338	+	4.72879i	−0.0977578	+	0.324775i
$213$	−13.1008	−	0.0383804i	−0.897650	−	0.00262978i
$214$	−1.55573	+	10.5661i	−0.106348	+	0.722283i
$215$	0.151182	+	0.261854i	0.0103105	+	0.0178583i
$216$	−6.35760	+	13.2507i	−0.432580	+	0.901596i
$217$	6.20867	+	19.0163i	0.421472	+	1.29091i
$218$	−18.1662	+	7.20132i	−1.23037	+	0.487735i
$219$	2.27226	−	3.90917i	0.153545	−	0.264157i
$220$	1.90298	−	0.448026i	0.128299	−	0.0302059i
$221$	24.1257	−	13.9290i	1.62287	−	0.936965i
$222$	3.63220	−	24.1771i	0.243777	−	1.62266i
$223$	22.2097	−	12.8228i	1.48727	−	0.858675i	0.487375	−	0.873193i	$-0.337955\pi$
$223$	22.2097	−	12.8228i	1.48727	−	0.858675i	0.999895	+	0.0145178i	$0.00462132\pi$
$224$	6.03930	−	13.6940i	0.403518	−	0.914972i
$225$	14.8771	+	0.0871694i	0.991806	+	0.00581129i
$226$	−4.57956	−	11.5525i	−0.304628	−	0.768460i
$227$	−0.872669			−0.0579211			−0.0289605	−	0.999581i	$-0.509220\pi$
$227$	−0.872669			−0.0579211			−0.0289605	+	0.999581i	$0.509220\pi$
$228$	3.35979	+	3.59284i	0.222508	+	0.237941i
$229$	3.52277			0.232791			0.116396	−	0.993203i	$-0.462866\pi$
$229$	3.52277			0.232791			0.116396	+	0.993203i	$0.462866\pi$
$230$	−0.451879	+	0.570621i	−0.0297960	+	0.0376256i
$231$	4.63857	−	21.6621i	0.305196	−	1.42526i
$232$	0.761679	+	8.93563i	0.0500067	+	0.586653i
$233$	−6.30103	+	3.63790i	−0.412794	+	0.238327i	−0.691989	−	0.721908i	$-0.743266\pi$
$233$	−6.30103	+	3.63790i	−0.412794	+	0.238327i	0.279196	+	0.960234i	$0.409932\pi$
$234$	17.1321	−	6.67551i	1.11996	−	0.436392i
$235$	1.05630	+	0.609857i	0.0689056	+	0.0397827i
$236$	−16.9759	+	15.9682i	−1.10503	+	1.03944i
$237$	−2.51848	−	1.46390i	−0.163593	−	0.0950903i
$238$	23.7075	−	4.05473i	1.53673	−	0.262829i
$239$	5.34526	−	9.25826i	0.345756	−	0.598867i	−0.639735	−	0.768596i	$-0.720956\pi$
$239$	5.34526	−	9.25826i	0.345756	−	0.598867i	0.985491	+	0.169729i	$0.0542892\pi$
$240$	0.621328	+	1.25560i	0.0401066	+	0.0810485i
$241$	19.5104			1.25678			0.628388	−	0.777900i	$-0.283715\pi$
$241$	19.5104			1.25678			0.628388	+	0.777900i	$0.283715\pi$
$242$	−13.7140	−	10.8602i	−0.881567	−	0.698119i
$243$	−15.5868	−	0.228333i	−0.999893	−	0.0146476i
$244$	0.302469	+	0.0910439i	0.0193636	+	0.00582849i
$245$	0.572031	−	1.29470i	0.0365457	−	0.0827152i
$246$	−3.69699	−	9.40643i	−0.235711	−	0.599732i
$247$		−	6.15397i		−	0.391567i
$248$	1.81632	+	21.3081i	0.115336	+	1.35307i
$249$	−1.74086	−	3.03576i	−0.110322	−	0.192383i
$250$	1.76804	−	2.23264i	0.111821	−	0.141205i
$251$	11.7008			0.738550			0.369275	−	0.929320i	$-0.379606\pi$
$251$	11.7008			0.738550			0.369275	+	0.929320i	$0.379606\pi$
$252$	15.8721	−	0.275344i	0.999850	−	0.0173450i
$253$	12.3048			0.773598
$254$	9.41172	−	11.8849i	0.590544	−	0.745724i
$255$	−1.13136	+	1.94638i	−0.0708485	+	0.121887i
$256$	9.63073	−	12.7769i	0.601921	−	0.798556i
$257$			6.59434i			0.411344i	0.978621	+	0.205672i	$0.0659379\pi$
$257$			6.59434i			0.411344i	−0.978621	+	0.205672i	$0.934062\pi$
$258$	3.62214	+	0.544164i	0.225505	+	0.0338782i
$259$	−25.1032	+	8.19601i	−1.55984	+	0.509275i
$260$	0.505157	−	1.67825i	0.0313285	−	0.104081i
$261$	−8.26539	+	4.70767i	−0.511615	+	0.291398i
$262$	−5.24470	−	4.15331i	−0.324018	−	0.256592i
$263$	−21.0140			−1.29578			−0.647891	−	0.761733i	$-0.724349\pi$
$263$	−21.0140			−1.29578			−0.647891	+	0.761733i	$0.724349\pi$
$264$	10.1194	−	21.4119i	0.622806	−	1.31781i
$265$	−0.249641	+	0.432391i	−0.0153353	+	0.0265616i
$266$	1.84284	−	4.98331i	0.112992	−	0.305546i
$267$	17.0530	−	9.77903i	1.04362	−	0.598467i
$268$	9.65254	+	10.2616i	0.589623	+	0.626829i
$269$	22.4191	+	12.9437i	1.36692	+	0.789190i	0.990533	−	0.137273i	$-0.0438339\pi$
$269$	22.4191	+	12.9437i	1.36692	+	0.789190i	0.376384	+	0.926464i	$0.377167\pi$
$270$	−0.932676	+	1.15672i	−0.0567609	+	0.0703960i
$271$	2.59785	−	1.49987i	0.157808	−	0.0911106i	−0.419016	−	0.907979i	$-0.637625\pi$
$271$	2.59785	−	1.49987i	0.157808	−	0.0911106i	0.576824	+	0.816868i	$0.304292\pi$
$272$	25.6643	+	1.57140i	1.55613	+	0.0952801i
$273$	−14.7387	−	13.3111i	−0.892029	−	0.805626i
$274$	2.39007	−	3.01811i	0.144389	−	0.182331i
$275$	−23.9734			−1.44565
$276$	1.99551	+	8.58862i	0.120116	+	0.516974i
$277$	−14.3368			−0.861413			−0.430707	−	0.902492i	$-0.641736\pi$
$277$	−14.3368			−0.861413			−0.430707	+	0.902492i	$0.641736\pi$
$278$	8.45762	+	21.3353i	0.507255	+	1.27961i
$279$	−19.7098	+	11.2260i	−1.18000	+	0.672084i
$280$	0.911624	−	1.20773i	0.0544799	−	0.0721757i
$281$	−6.94401	+	4.00912i	−0.414245	+	0.239164i	−0.692612	−	0.721310i	$-0.743540\pi$
$281$	−6.94401	+	4.00912i	−0.414245	+	0.239164i	0.278367	+	0.960475i	$0.410207\pi$
$282$	13.7515	−	5.40471i	0.818889	−	0.321846i
$283$	−12.6682	+	7.31396i	−0.753044	+	0.434770i	−0.826793	−	0.562507i	$-0.809837\pi$
$283$	−12.6682	+	7.31396i	−0.753044	+	0.434770i	0.0737490	+	0.997277i	$0.476504\pi$
$284$	3.46675	+	14.7249i	0.205714	+	0.873765i
$285$	0.247400	+	0.431423i	0.0146547	+	0.0255553i
$286$	−27.5433	+	10.9185i	−1.62867	+	0.645626i
$287$	−7.29313	+	8.12303i	−0.430500	+	0.479487i
$288$	16.5863	+	3.59077i	0.977359	+	0.211588i
$289$	12.1601	+	21.0620i	0.715303	+	1.23894i
$290$	−0.132076	+	0.897021i	−0.00775575	+	0.0526749i
$291$	9.37813	+	16.3539i	0.549756	+	0.958680i
$292$	−4.99951	−	1.50486i	−0.292574	−	0.0880654i
$293$	−23.8259	−	13.7559i	−1.39192	−	0.803628i	−0.398396	−	0.917213i	$-0.630433\pi$
$293$	−23.8259	−	13.7559i	−1.39192	−	0.803628i	−0.993528	+	0.113585i	$0.963766\pi$
$294$	−7.94894	−	15.1926i	−0.463591	−	0.886049i
$295$	−2.04060	+	1.17814i	−0.118808	+	0.0685941i
$296$	−28.1286	+	2.39770i	−1.63494	+	0.139364i
$297$	25.1184	+	0.220767i	1.45751	+	0.0128102i
$298$	−1.82840	+	2.30886i	−0.105916	+	0.133748i
$299$	5.51553	−	9.55318i	0.318971	−	0.552475i
$300$	−3.88785	−	16.7331i	−0.224465	−	0.966089i
$301$	−1.22790	−	3.76089i	−0.0707750	−	0.216774i
$302$	−10.1056	+	12.7611i	−0.581513	+	0.734320i
$303$	−0.0161532	+	5.51373i	−0.000927975	+	0.316755i
$304$	3.13531	−	4.73625i	0.179822	−	0.271643i
$305$	0.0276572	+	0.0159679i	0.00158364	+	0.000914318i
$306$	9.90144	+	25.4112i	0.566028	+	1.45266i
$307$		−	15.5017i		−	0.884727i	−0.896836	−	0.442364i	$-0.854140\pi$
$307$		−	15.5017i		−	0.884727i	0.896836	−	0.442364i	$-0.145860\pi$
$308$	−25.5734	+	0.593540i	−1.45718	+	0.0338201i
$309$	−0.00172114	+	0.587493i	−9.79120e−5	+	0.0334213i
$310$	−0.314951	+	2.13905i	−0.0178880	+	0.121490i
$311$	−4.70179	−	8.14375i	−0.266614	−	0.461790i	0.701371	−	0.712796i	$-0.252572\pi$
$311$	−4.70179	−	8.14375i	−0.266614	−	0.461790i	−0.967985	+	0.251007i	$0.919238\pi$
$312$	−12.0878	−	17.4542i	−0.684335	−	0.988147i
$313$	−12.9048	+	22.3519i	−0.729425	+	1.26340i	0.227701	+	0.973731i	$0.426879\pi$
$313$	−12.9048	+	22.3519i	−0.729425	+	1.26340i	−0.957126	+	0.289670i	$0.906454\pi$
$314$	−1.29961	+	8.82659i	−0.0733413	+	0.498113i
$315$	1.56839	+	0.340652i	0.0883685	+	0.0191936i
$316$	−0.969504	+	3.22092i	−0.0545389	+	0.181191i
$317$	−0.355890	−	0.205473i	−0.0199888	−	0.0115405i	0.489972	−	0.871738i	$-0.337007\pi$
$317$	−0.355890	−	0.205473i	−0.0199888	−	0.0115405i	−0.509961	+	0.860197i	$0.670340\pi$
$318$	2.21238	+	5.62908i	0.124064	+	0.315663i
$319$	13.2742	−	7.66387i	0.743214	−	0.429095i
$320$	1.24381	−	1.03426i	0.0695313	−	0.0578169i
$321$	6.50693	+	11.3470i	0.363181	+	0.633326i
$322$	7.32708	−	6.08425i	0.408322	−	0.339062i
$323$	9.12786			0.507888
$324$	3.91943	+	17.5681i	0.217746	+	0.976005i
$325$	−10.7459	+	18.6124i	−0.596074	+	1.03243i
$326$	32.3239	+	4.75931i	1.79025	+	0.263594i
$327$	−12.0273	+	20.6917i	−0.665113	+	1.14425i
$328$	−9.57474	+	6.67252i	−0.528677	+	0.368428i
$329$	−11.8753	−	10.6620i	−0.654704	−	0.587815i
$330$	1.49197	−	1.87273i	0.0821304	−	0.103090i
$331$	18.0391	+	10.4149i	0.991519	+	0.572453i	0.905728	−	0.423860i	$-0.139325\pi$
$331$	18.0391	+	10.4149i	0.991519	+	0.572453i	0.0857907	+	0.996313i	$0.472658\pi$
$332$	−2.94334	+	2.76863i	−0.161537	+	0.151948i
$333$	−14.8194	−	26.0188i	−0.812096	−	1.42582i
$334$	−1.96102	+	0.777375i	−0.107302	+	0.0425361i
$335$	0.712168	+	1.23351i	0.0389099	+	0.0673939i
$336$	−4.56160	−	17.7536i	−0.248856	−	0.968541i
$337$	−10.9177	+	18.9100i	−0.594724	+	1.03009i	0.398861	+	0.917011i	$0.369405\pi$
$337$	−10.9177	+	18.9100i	−0.594724	+	1.03009i	−0.993586	+	0.113082i	$0.963928\pi$
$338$	−1.19107	+	8.08938i	−0.0647855	+	0.440005i
$339$	−13.1586	−	7.64859i	−0.714675	−	0.415414i
$340$	2.48926	+	0.749273i	0.134999	+	0.0406350i
$341$	31.6540	−	18.2754i	1.71416	−	0.989670i
$342$	5.95503	+	0.912488i	0.322011	+	0.0493417i
$343$	−10.8219	+	15.0295i	−0.584330	+	0.811516i
$344$	−0.359217	−	4.21414i	−0.0193677	−	0.227211i
$345$	−0.00261164	+	0.891458i	−0.000140606	+	0.0479945i
$346$	−3.57780	−	9.02542i	−0.192344	−	0.485209i
$347$	−2.01486	−	3.48984i	−0.108163	−	0.187345i	0.806863	−	0.590739i	$-0.201164\pi$
$347$	−2.01486	−	3.48984i	−0.108163	−	0.187345i	−0.915026	+	0.403394i	$0.867830\pi$
$348$	7.50201	+	8.02236i	0.402150	+	0.430044i
$349$	−10.4009	−	18.0148i	−0.556745	−	0.964311i	−0.997765	−	0.0668142i	$-0.978717\pi$
$349$	−10.4009	−	18.0148i	−0.556745	−	0.964311i	0.441020	−	0.897497i	$-0.354617\pi$
$350$	−14.2753	+	11.8539i	−0.763047	+	0.633618i
$351$	11.4305	−	19.4023i	0.610114	−	1.03562i
$352$	−26.7607	−	5.62949i	−1.42635	−	0.300053i
$353$		−	2.84475i		−	0.151411i	−0.997130	−	0.0757054i	$-0.975879\pi$
$353$		−	2.84475i		−	0.151411i	0.997130	−	0.0757054i	$-0.0241209\pi$
$354$	−4.24062	+	28.2270i	−0.225386	+	1.50025i
$355$			1.52943i			0.0811739i
$356$	−15.5524	−	16.5338i	−0.824276	−	0.876289i
$357$	19.7437	−	21.8612i	1.04495	−	1.15702i
$358$	31.9265	−	12.6561i	1.68737	−	0.668896i
$359$	−12.0230	−	20.8244i	−0.634549	−	1.09907i	−0.986611	−	0.163094i	$-0.947853\pi$
$359$	−12.0230	−	20.8244i	−0.634549	−	1.09907i	0.352062	−	0.935977i	$-0.385481\pi$
$360$	1.54910	+	0.737672i	0.0816446	+	0.0388787i
$361$	−8.49181	+	14.7082i	−0.446937	+	0.774118i
$362$	8.96793	+	7.10177i	0.471344	+	0.373261i
$363$	−21.4248	−	0.0627666i	−1.12451	−	0.00329439i
$364$	−11.0022	+	20.1206i	−0.576674	+	1.05461i
$365$	−0.457145	−	0.263933i	−0.0239280	−	0.0138149i
$366$	0.360055	−	0.141512i	0.0188204	−	0.00739693i
$367$			6.28678i			0.328167i	0.986446	+	0.164084i	$0.0524667\pi$
$367$			6.28678i			0.328167i	−0.986446	+	0.164084i	$0.947533\pi$
$368$	9.11203	−	4.54234i	0.474997	−	0.236786i
$369$	−10.6835	−	6.25187i	−0.556160	−	0.325459i
$370$	−2.82375	−	0.415764i	−0.146800	−	0.0216145i
$371$	4.36442	−	4.86106i	0.226589	−	0.252374i
$372$	17.8894	+	19.1303i	0.927525	+	0.991860i
$373$	−20.9974			−1.08721			−0.543603	−	0.839343i	$-0.682940\pi$
$373$	−20.9974			−1.08721			−0.543603	+	0.839343i	$0.682940\pi$
$374$	−16.1949	−	40.8535i	−0.837417	−	2.11248i
$375$	0.0102184	−	3.48796i	0.000527678	−	0.180118i
$376$	−9.75471	−	13.9975i	−0.503061	−	0.721868i
$377$		−	13.7411i		−	0.707700i
$378$	15.0662	−	12.2886i	0.774923	−	0.632056i
$379$			14.1467i			0.726669i	0.931659	+	0.363334i	$0.118362\pi$
$379$			14.1467i			0.726669i	−0.931659	+	0.363334i	$0.881638\pi$
$380$	0.418288	−	0.393460i	0.0214577	−	0.0201841i
$381$	0.0543952	−	18.5673i	0.00278675	−	0.951230i
$382$	−23.3983	+	9.27539i	−1.19716	+	0.474570i
$383$	1.26432			0.0646036			0.0323018	−	0.999478i	$-0.489716\pi$
$383$	1.26432			0.0646036			0.0323018	+	0.999478i	$0.489716\pi$
$384$	−0.410559	−	19.5916i	−0.0209513	−	0.999780i
$385$	−2.53048	−	0.534111i	−0.128965	−	0.0272208i
$386$	0.866148	−	5.88263i	0.0440858	−	0.299418i
$387$	3.89805	−	2.22019i	0.198149	−	0.112859i
$388$	15.8560	−	14.9148i	0.804965	−	0.757186i
$389$			29.0380i			1.47228i	0.676827	+	0.736142i	$0.263355\pi$
$389$			29.0380i			1.47228i	−0.676827	+	0.736142i	$0.736645\pi$
$390$	−0.785177	−	1.99776i	−0.0397590	−	0.101161i
$391$	14.1697	+	8.18091i	0.716595	+	0.413726i
$392$	−14.9345	+	12.9984i	−0.754308	+	0.656521i
$393$	−8.19358	−	0.0240041i	−0.413311	−	0.00121085i
$394$	−17.3899	+	21.9596i	−0.876092	+	1.10631i
$395$	−0.170038	+	0.294514i	−0.00855554	+	0.0148186i
$396$	−6.48155	−	28.2718i	−0.325710	−	1.42071i
$397$	−4.98914	−	8.64144i	−0.250398	−	0.433701i	0.713238	−	0.700922i	$-0.247228\pi$
$397$	−4.98914	−	8.64144i	−0.250398	−	0.433701i	−0.963635	+	0.267221i	$0.913895\pi$
$398$	2.25986	+	5.70077i	0.113277	+	0.285754i
$399$	−2.00151	−	6.19178i	−0.100201	−	0.309977i
$400$	−17.7529	+	8.84981i	−0.887645	+	0.442490i
$401$		−	13.2907i		−	0.663708i	−0.943331	−	0.331854i	$-0.892326\pi$
$401$		−	13.2907i		−	0.663708i	0.943331	−	0.331854i	$-0.107674\pi$
$402$	17.0628	+	2.56338i	0.851013	+	0.127850i
$403$		−	32.7672i		−	1.63225i
$404$	6.19729	−	1.45905i	0.308327	−	0.0725905i
$405$	−0.0213253	+	1.81972i	−0.00105967	+	0.0904227i
$406$	4.11484	−	11.1271i	0.204216	−	0.552230i
$407$	24.1252	+	41.7862i	1.19584	+	2.07126i
$408$	25.8888	−	17.9292i	1.28169	−	0.887626i
$409$	−2.38695	−	4.13432i	−0.118027	−	0.204429i	0.800959	−	0.598720i	$-0.204324\pi$
$409$	−2.38695	−	4.13432i	−0.118027	−	0.204429i	−0.918986	+	0.394291i	$0.870990\pi$
$410$	−1.09687	+	0.434813i	−0.0541704	+	0.0214739i
$411$	0.0138134	−	4.71508i	0.000681366	−	0.232578i
$412$	0.660328	−	0.155463i	0.0325320	−	0.00765913i
$413$	29.3082	−	9.56891i	1.44216	−	0.470855i
$414$	8.42654	+	6.75375i	0.414142	+	0.331929i
$415$	−0.353807	+	0.204271i	−0.0173677	+	0.0100273i
$416$	−16.3659	+	18.2530i	−0.802403	+	0.894929i
$417$	24.3015	+	14.1255i	1.19005	+	0.691731i
$418$	−9.60442	−	1.41414i	−0.469767	−	0.0691677i
$419$	1.75344	−	3.03706i	0.0856614	−	0.148370i	−0.820011	−	0.572347i	$-0.806033\pi$
$419$	1.75344	−	3.03706i	0.0856614	−	0.148370i	0.905673	+	0.423977i	$0.139366\pi$
$420$	−0.0375728	−	1.85286i	−0.00183337	−	0.0904103i
$421$	11.7016	+	20.2678i	0.570302	+	0.987792i	0.996535	+	0.0831781i	$0.0265070\pi$
$421$	11.7016	+	20.2678i	0.570302	+	0.987792i	−0.426233	+	0.904613i	$0.640160\pi$
$422$	7.94679	+	20.0467i	0.386844	+	0.975858i
$423$	9.13976	−	15.6185i	0.444390	−	0.759396i
$424$	5.72980	−	3.99303i	0.278264	−	0.193919i
$425$	−27.6068	−	15.9388i	−1.33913	−	0.773146i
$426$	14.4908	+	11.5446i	0.702084	+	0.559340i
$427$	−0.310930	−	0.279163i	−0.0150469	−	0.0135096i
$428$	11.0015	−	10.3485i	0.531779	−	0.500214i
$429$	−18.2356	+	31.3724i	−0.880425	+	1.51467i
$430$	0.0622884	−	0.423045i	0.00300381	−	0.0204010i
$431$	−17.2210	+	29.8277i	−0.829507	+	1.43675i	0.0689193	+	0.997622i	$0.478045\pi$
$431$	−17.2210	+	29.8277i	−0.829507	+	1.43675i	−0.898426	+	0.439125i	$0.855288\pi$
$432$	18.6823	−	9.10897i	0.898850	−	0.438256i
$433$	24.9184			1.19750			0.598751	−	0.800935i	$-0.295664\pi$
$433$	24.9184			1.19750			0.598751	+	0.800935i	$0.295664\pi$
$434$	9.81232	−	26.5340i	0.471006	−	1.27367i
$435$	0.552413	+	0.963314i	0.0264862	+	0.0461874i
$436$	26.4630	+	7.96541i	1.26735	+	0.381474i
$437$	3.13017	−	1.80720i	0.149736	−	0.0864502i
$438$	−5.95134	+	2.33904i	−0.284366	+	0.111764i
$439$	6.98589	+	4.03330i	0.333418	+	0.192499i	0.657358	−	0.753579i	$-0.271674\pi$
$439$	6.98589	+	4.03330i	0.333418	+	0.192499i	−0.323939	+	0.946078i	$0.605007\pi$
$440$	−2.50315	−	1.17404i	−0.119333	−	0.0559703i
$441$	−19.1586	−	8.59929i	−0.912315	−	0.409490i
$442$	−38.9769	−	5.73889i	−1.85394	−	0.272971i
$443$	−0.477178	+	0.826496i	−0.0226714	+	0.0392680i	−0.877139	−	0.480237i	$-0.840550\pi$
$443$	−0.477178	+	0.826496i	−0.0226714	+	0.0392680i	0.854467	+	0.519505i	$0.173884\pi$
$444$	−25.2537	+	23.6157i	−1.19849	+	1.12075i
$445$	−1.14746	−	1.98746i	−0.0543950	−	0.0942149i
$446$	−35.8814	−	5.28311i	−1.69903	−	0.250163i
$447$	−0.0105673	+	3.60703i	−0.000499814	+	0.170607i
$448$	−18.7186	+	9.87996i	−0.884371	+	0.466784i
$449$			28.3649i			1.33862i	0.742982	+	0.669312i	$0.233411\pi$
$449$			28.3649i			1.33862i	−0.742982	+	0.669312i	$0.766589\pi$
$450$	−16.4174	−	13.1583i	−0.773922	−	0.620287i
$451$	17.2742	+	9.97325i	0.813409	+	0.469622i
$452$	−5.06548	+	16.8287i	−0.238260	+	0.791556i
$453$	−0.0584056	+	19.9362i	−0.00274413	+	0.936683i
$454$	0.967510	+	0.766178i	0.0454075	+	0.0359585i
$455$	−1.54894	+	1.72519i	−0.0726152	+	0.0808783i
$456$	−0.570528	−	6.93310i	−0.0267174	−	0.324672i
$457$	−8.31273	+	14.3981i	−0.388853	+	0.673513i	−0.992296	−	0.123893i	$-0.960462\pi$
$457$	−8.31273	+	14.3981i	−0.388853	+	0.673513i	0.603442	+	0.797407i	$0.293795\pi$
$458$	−3.90562	−	3.09289i	−0.182498	−	0.144521i
$459$	28.7785	+	16.9542i	1.34327	+	0.791356i
$460$	1.00198	−	0.235899i	0.0467174	−	0.0109989i
$461$	11.5634	−	6.67612i	0.538560	−	0.310938i	−0.205935	−	0.978566i	$-0.566024\pi$
$461$	11.5634	−	6.67612i	0.538560	−	0.310938i	0.744495	+	0.667628i	$0.232690\pi$
$462$	−24.1614	+	19.9438i	−1.12409	+	0.927868i
$463$	−23.7109	−	13.6895i	−1.10194	−	0.636204i	−0.165208	−	0.986259i	$-0.552829\pi$
$463$	−23.7109	−	13.6895i	−1.10194	−	0.636204i	−0.936729	+	0.350055i	$0.886163\pi$
$464$	7.00076	−	10.5755i	0.325002	−	0.490954i
$465$	1.31730	+	2.29714i	0.0610881	+	0.106527i
$466$	10.1798	+	1.49885i	0.471569	+	0.0694330i
$467$	−12.9936	−	22.5056i	−0.601274	−	1.04144i	−0.992628	−	0.121197i	$-0.961327\pi$
$467$	−12.9936	−	22.5056i	−0.601274	−	1.04144i	0.391355	−	0.920240i	$-0.372007\pi$
$468$	−24.8549	−	7.64048i	−1.14892	−	0.353181i
$469$	−5.78425	−	17.7164i	−0.267092	−	0.818065i
$470$	−0.635664	−	1.60354i	−0.0293210	−	0.0739657i
$471$	5.43569	+	9.47891i	0.250463	+	0.436765i
$472$	32.8404	−	2.79934i	1.51160	−	0.128850i
$473$	−6.26027	+	3.61437i	−0.287848	+	0.166189i
$474$	1.50692	+	3.83414i	0.0692152	+	0.176108i
$475$	−6.09848	+	3.52096i	−0.279818	+	0.161553i
$476$	−29.8439	−	16.3190i	−1.36789	−	0.747982i
$477$	6.39332	+	3.74130i	0.292730	+	0.171302i
$478$	−14.0546	+	5.57145i	−0.642845	+	0.254832i
$479$	41.8890			1.91396			0.956980	−	0.290155i	$-0.0937069\pi$
$479$	41.8890			1.91396			0.956980	+	0.290155i	$0.0937069\pi$
$480$	0.413524	−	1.93756i	0.0188747	−	0.0884372i
$481$	43.2557			1.97229
$482$	−21.6308	−	17.1296i	−0.985254	−	0.780230i
$483$	2.44235	−	11.4058i	0.111131	−	0.518980i
$484$	5.66946	+	24.0809i	0.257703	+	1.09459i
$485$	1.90599	−	1.10042i	0.0865464	−	0.0499676i
$486$	17.0803	+	13.9379i	0.774777	+	0.632235i
$487$	4.55657	+	2.63074i	0.206478	+	0.119210i	0.599673	−	0.800245i	$-0.295297\pi$
$487$	4.55657	+	2.63074i	0.206478	+	0.119210i	−0.393196	+	0.919455i	$0.628630\pi$
$488$	−0.255408	−	0.366498i	−0.0115618	−	0.0165906i
$489$	34.7128	−	19.9061i	1.56977	−	0.900183i
$490$	−1.77090	+	0.933177i	−0.0800013	+	0.0421566i
$491$	−9.05583	+	15.6852i	−0.408684	+	0.707861i	−0.994743	−	0.102408i	$-0.967345\pi$
$491$	−9.05583	+	15.6852i	−0.408684	+	0.707861i	0.586059	+	0.810269i	$0.300679\pi$
$492$	−4.15979	+	13.6745i	−0.187538	+	0.616496i
$493$	20.3814			0.917932
$494$	−5.40300	+	6.82277i	−0.243092	+	0.306971i
$495$	0.0171822	−	2.93246i	0.000772282	−	0.131804i
$496$	16.6942	−	25.2185i	0.749590	−	1.13234i
$497$	4.13287	−	19.5804i	0.185384	−	0.878302i
$498$	−0.735254	+	4.89410i	−0.0329475	+	0.219310i
$499$			29.1356i			1.30429i	0.758094	+	0.652145i	$0.226131\pi$
$499$			29.1356i			1.30429i	−0.758094	+	0.652145i	$0.773869\pi$
$500$	−3.92038	+	0.922991i	−0.175325	+	0.0412774i
$501$	−1.29834	+	2.23365i	−0.0580054	+	0.0997920i
$502$	−12.9725	−	10.2730i	−0.578989	−	0.458506i
$503$	−16.1935			−0.722031			−0.361016	−	0.932560i	$-0.617570\pi$
$503$	−16.1935			−0.722031			−0.361016	+	0.932560i	$0.617570\pi$
$504$	−17.8388	−	13.6300i	−0.794604	−	0.607128i
$505$	0.643693			0.0286440
$506$	−13.6421	−	10.8033i	−0.606466	−	0.480264i
$507$	4.98170	+	8.68723i	0.221245	+	0.385813i
$508$	−20.8692	+	4.91330i	−0.925919	+	0.217993i
$509$			4.19801i			0.186074i	0.995663	+	0.0930368i	$0.0296574\pi$
$509$			4.19801i			0.186074i	−0.995663	+	0.0930368i	$0.970343\pi$
$510$	2.96318	−	1.16461i	0.131212	−	0.0515699i
$511$	5.13935	+	4.61428i	0.227351	+	0.204124i
$512$	−21.8951	+	5.70997i	−0.967637	+	0.252347i
$513$	6.42216	−	3.63296i	0.283545	−	0.160399i
$514$	5.78963	−	7.31100i	0.255370	−	0.322475i
$515$	0.0685861			0.00302227
$516$	−3.53803	−	3.78344i	−0.155753	−	0.166557i
$517$	−14.5801	+	25.2535i	−0.641234	+	1.11065i
$518$	35.0273	+	12.9532i	1.53901	+	0.569129i
$519$	−10.2802	−	5.97548i	−0.451249	−	0.262295i
$520$	−2.03351	+	1.41713i	−0.0891754	+	0.0621452i
$521$	−28.9940	−	16.7397i	−1.27025	−	0.733379i	−0.295215	−	0.955431i	$-0.595391\pi$
$521$	−28.9940	−	16.7397i	−1.27025	−	0.733379i	−0.975035	+	0.222052i	$0.928725\pi$
$522$	13.2969	+	2.03747i	0.581988	+	0.0891778i
$523$	23.8878	−	13.7916i	1.04454	−	0.603065i	0.123424	−	0.992354i	$-0.460612\pi$
$523$	23.8878	−	13.7916i	1.04454	−	0.603065i	0.921116	+	0.389289i	$0.127279\pi$
$524$	2.16820	+	9.20937i	0.0947182	+	0.402313i
$525$	−4.75842	+	22.2218i	−0.207674	+	0.969837i
$526$	23.2978	+	18.4497i	1.01583	+	0.804445i
$527$	48.6019			2.11713
$528$	−30.0182	+	14.8544i	−1.30637	+	0.646454i
$529$	−16.5211			−0.718310
$530$	0.656398	−	0.260205i	0.0285121	−	0.0113026i
$531$	17.3017	+	30.3771i	0.750831	+	1.31825i
$532$	−6.41832	+	3.90693i	−0.278269	+	0.169387i
$533$	15.4860	−	8.94084i	0.670773	−	0.387271i
$534$	−27.4919	−	4.13019i	−1.18969	−	0.178731i
$535$	1.32245	−	0.763518i	0.0571746	−	0.0330097i
$536$	−1.69216	−	19.8515i	−0.0730900	−	0.857454i
$537$	21.1377	−	36.3651i	0.912158	−	1.56927i
$538$	−13.4914	−	34.0337i	−0.581657	−	1.46730i
$539$	30.9529	+	13.6758i	1.33324	+	0.589059i
$540$	2.04961	−	0.463573i	0.0882011	−	0.0199490i
$541$	−4.94596	−	8.56665i	−0.212643	−	0.368309i	0.739898	−	0.672720i	$-0.234874\pi$
$541$	−4.94596	−	8.56665i	−0.212643	−	0.368309i	−0.952541	+	0.304410i	$0.901541\pi$
$542$	−4.19702	−	0.617962i	−0.180278	−	0.0265438i
$543$	14.0102	+	0.0410448i	0.601237	+	0.00176140i
$544$	−27.0738	−	24.2747i	−1.16078	−	1.04077i
$545$	2.41972	+	1.39703i	0.103649	+	0.0598420i
$546$	4.65376	+	27.6979i	0.199162	+	1.18536i
$547$	−18.8008	+	10.8547i	−0.803866	+	0.464112i	−0.844821	−	0.535049i	$-0.820293\pi$
$547$	−18.8008	+	10.8547i	−0.803866	+	0.464112i	0.0409551	+	0.999161i	$0.486960\pi$
$548$	−5.29963	+	1.24771i	−0.226389	+	0.0532996i
$549$	0.239306	−	0.408938i	0.0102133	−	0.0174530i
$550$	26.5788	+	21.0480i	1.13332	+	0.897488i
$551$	2.25118	−	3.89915i	0.0959033	−	0.166109i
$552$	5.32817	−	11.2740i	0.226782	−	0.479854i
$553$	2.97274	−	3.31102i	0.126414	−	0.140799i
$554$	15.8949	+	12.5873i	0.675309	+	0.534782i
$555$	−3.03243	+	1.73895i	−0.128720	+	0.0738144i
$556$	9.35502	−	31.0796i	0.396741	−	1.31807i
$557$	−28.6242	−	16.5262i	−1.21285	−	0.700237i	−0.249468	−	0.968383i	$-0.580256\pi$
$557$	−28.6242	−	16.5262i	−1.21285	−	0.700237i	−0.963378	+	0.268146i	$0.913589\pi$
$558$	31.7080	+	4.85860i	1.34231	+	0.205681i
$559$			6.48044i			0.274093i
$560$	−2.07105	+	0.538606i	−0.0875178	+	0.0227602i
$561$	−46.5331	−	27.0480i	−1.96463	−	1.14197i
$562$	11.2186	+	1.65180i	0.473227	+	0.0696771i
$563$	−17.7946	−	30.8211i	−0.749952	−	1.29896i	−0.947845	−	0.318732i	$-0.896743\pi$
$563$	−17.7946	−	30.8211i	−0.749952	−	1.29896i	0.197892	−	0.980224i	$-0.436590\pi$
$564$	−19.9912	−	6.08131i	−0.841780	−	0.256069i
$565$	−0.888416	+	1.53878i	−0.0373760	+	0.0647371i
$566$	20.4664	+	3.01343i	0.860265	+	0.126664i
$567$	5.19031	−	23.2392i	0.217972	−	0.975955i
$568$	9.08455	−	19.3689i	0.381179	−	0.812702i
$569$	8.17229	+	4.71827i	0.342600	+	0.197800i	0.661421	−	0.750015i	$-0.269954\pi$
$569$	8.17229	+	4.71827i	0.342600	+	0.197800i	−0.318821	+	0.947815i	$0.603287\pi$
$570$	0.104490	−	0.695519i	0.00437659	−	0.0291321i
$571$	30.9155	−	17.8491i	1.29378	−	0.746962i	0.314454	−	0.949273i	$-0.398179\pi$
$571$	30.9155	−	17.8491i	1.29378	−	0.746962i	0.979321	+	0.202311i	$0.0648452\pi$
$572$	40.1228	+	12.0770i	1.67762	+	0.504966i
$573$	−15.4914	+	26.6512i	−0.647161	+	1.11337i
$574$	15.2175	−	2.60268i	0.635167	−	0.108634i
$575$	−12.6227			−0.526405
$576$	−15.2363	−	18.5433i	−0.634847	−	0.772638i
$577$	−12.1259	+	21.0026i	−0.504806	+	0.874350i	0.495178	+	0.868791i	$0.335103\pi$
$577$	−12.1259	+	21.0026i	−0.504806	+	0.874350i	−0.999985	+	0.00555893i	$0.998231\pi$
$578$	5.01011	−	34.0272i	0.208393	−	1.41535i
$579$	−3.62271	−	6.31738i	−0.150555	−	0.262541i
$580$	0.933987	−	0.878549i	0.0387817	−	0.0364798i
$581$	5.08157	−	1.65909i	0.210819	−	0.0688308i
$582$	3.96087	−	26.3649i	0.164183	−	1.09286i
$583$	−10.3374	−	5.96828i	−0.428130	−	0.247181i
$584$	4.22163	+	6.05783i	0.174692	+	0.250675i
$585$	−2.26899	−	1.32779i	−0.0938113	−	0.0548973i
$586$	14.3380	+	36.1693i	0.592298	+	1.49414i
$587$	−22.2138	−	38.4755i	−0.916863	−	1.58805i	−0.804151	−	0.594425i	$-0.797380\pi$
$587$	−22.2138	−	38.4755i	−0.916863	−	1.58805i	−0.112711	−	0.993628i	$-0.535954\pi$
$588$	−4.52581	+	23.8226i	−0.186641	+	0.982428i
$589$	5.36820	−	9.29800i	0.221193	−	0.383117i
$590$	3.29675	+	0.485407i	0.135725	+	0.0199839i
$591$	−0.100505	+	34.3065i	−0.00413424	+	1.41118i
$592$	33.2907	+	22.0378i	1.36824	+	0.905749i
$593$	−11.4616	+	6.61735i	−0.470671	+	0.271742i	−0.716521	−	0.697566i	$-0.754266\pi$
$593$	−11.4616	+	6.61735i	−0.470671	+	0.271742i	0.245849	+	0.969308i	$0.420933\pi$
$594$	−27.6544	−	22.2979i	−1.13467	−	0.914895i
$595$	−2.55889	−	2.29746i	−0.104904	−	0.0941865i
$596$	4.05421	−	0.954499i	0.166067	−	0.0390978i
$597$	6.49331	+	3.77432i	0.265754	+	0.154473i
$598$	−14.5024	+	5.74894i	−0.593046	+	0.235091i
$599$	−15.4784	−	26.8093i	−0.632429	−	1.09540i	−0.987054	−	0.160391i	$-0.948725\pi$
$599$	−15.4784	−	26.8093i	−0.632429	−	1.09540i	0.354624	−	0.935009i	$-0.384609\pi$
$600$	−10.3808	+	21.9651i	−0.423796	+	0.896721i
$601$	8.14029	+	14.0994i	0.332049	+	0.575126i	0.982914	−	0.184068i	$-0.0589266\pi$
$601$	8.14029	+	14.0994i	0.332049	+	0.575126i	−0.650864	+	0.759194i	$0.725593\pi$
$602$	−1.94060	+	5.24768i	−0.0790930	+	0.213879i
$603$	18.3625	−	10.4586i	0.747778	−	0.425908i
$604$	22.4078	−	5.27554i	0.911759	−	0.214659i
$605$			2.50121i			0.101689i
$606$	4.85880	−	6.09877i	0.197375	−	0.247745i
$607$			5.02873i			0.204110i	0.994779	+	0.102055i	$0.0325418\pi$
$607$			5.02873i			0.204110i	−0.994779	+	0.102055i	$0.967458\pi$
$608$	−7.63434	+	2.49827i	−0.309613	+	0.101318i
$609$	−4.46914	−	13.8255i	−0.181098	−	0.560237i
$610$	−0.0166436	−	0.0419854i	−0.000673879	−	0.00169994i
$611$	13.0708	+	22.6393i	0.528789	+	0.915890i
$612$	11.3327	−	36.8660i	0.458098	−	1.49022i
$613$	18.0181	−	31.2083i	0.727745	−	1.26049i	−0.230090	−	0.973169i	$-0.573902\pi$
$613$	18.0181	−	31.2083i	0.727745	−	1.26049i	0.957834	−	0.287321i	$-0.0927647\pi$
$614$	−13.6100	+	17.1864i	−0.549255	+	0.693585i
$615$	−0.726206	+	1.24936i	−0.0292835	+	0.0503790i
$616$	28.8738	+	21.7946i	1.16336	+	0.878130i
$617$	4.67953	+	2.70173i	0.188391	+	0.108767i	0.591229	−	0.806504i	$-0.298643\pi$
$617$	4.67953	+	2.70173i	0.188391	+	0.108767i	−0.402838	+	0.915271i	$0.631976\pi$
$618$	0.517710	−	0.649830i	0.0208253	−	0.0261400i
$619$		−	22.3213i		−	0.897168i	−0.893741	−	0.448584i	$-0.851928\pi$
$619$		−	22.3213i		−	0.897168i	0.893741	−	0.448584i	$-0.148072\pi$
$620$	2.22720	−	2.09501i	0.0894467	−	0.0841375i
$621$	13.2256	+	0.116241i	0.530724	+	0.00466458i
$622$	−1.93719	+	13.1568i	−0.0776742	+	0.527541i
$623$	9.31973	+	28.5450i	0.373387	+	1.14363i
$624$	−1.92278	+	29.9637i	−0.0769728	+	1.19951i
$625$	24.3884			0.975535
$626$	33.9316	−	13.4509i	1.35618	−	0.537608i
$627$	−10.3142	+	5.91470i	−0.411911	+	0.236210i
$628$	9.19033	−	8.64483i	0.366734	−	0.344966i
$629$			64.1590i			2.55819i
$630$	−1.43975	−	1.75467i	−0.0573612	−	0.0699077i
$631$		−	41.2595i		−	1.64252i	−0.570557	−	0.821258i	$-0.693273\pi$
$631$		−	41.2595i		−	1.64252i	0.570557	−	0.821258i	$-0.306727\pi$
$632$	3.90274	−	2.71977i	0.155243	−	0.108187i
$633$	22.8337	+	13.2724i	0.907557	+	0.527529i
$634$	0.214168	+	0.540265i	0.00850572	+	0.0214567i
$635$	−2.16761			−0.0860191
$636$	2.48934	−	8.18325i	0.0987089	−	0.324487i
$637$	24.4920	−	17.9011i	0.970407	−	0.709266i
$638$	−21.4455	−	3.15760i	−0.849035	−	0.125010i
$639$	22.6909	+	0.132953i	0.897639	+	0.00525954i
$640$	−2.28704	+	0.0546304i	−0.0904031	+	0.00215946i
$641$			2.66434i			0.105235i	0.998615	+	0.0526175i	$0.0167564\pi$
$641$			2.66434i			0.105235i	−0.998615	+	0.0526175i	$0.983244\pi$
$642$	2.74821	−	18.2930i	0.108463	−	0.721969i
$643$	22.2882	+	12.8681i	0.878962	+	0.507469i	0.870316	−	0.492494i	$-0.163915\pi$
$643$	22.2882	+	12.8681i	0.878962	+	0.507469i	0.00864573	+	0.999963i	$0.497248\pi$
$644$	−13.4652	+	0.312517i	−0.530602	+	0.0123149i
$645$	−0.260524	−	0.454310i	−0.0102581	−	0.0178884i
$646$	−10.1199	−	8.01399i	−0.398161	−	0.315306i
$647$	−21.4109	+	37.0848i	−0.841751	+	1.45795i	0.0466629	+	0.998911i	$0.485141\pi$
$647$	−21.4109	+	37.0848i	−0.841751	+	1.45795i	−0.888413	+	0.459044i	$0.848192\pi$
$648$	11.0789	−	22.9185i	0.435220	−	0.900324i
$649$	−28.1664	−	48.7857i	−1.10563	−	1.91500i
$650$	28.2549	−	11.2006i	1.10825	−	0.439324i
$651$	−10.6572	−	32.9685i	−0.417688	−	1.29214i
$652$	−31.6583	−	33.6560i	−1.23983	−	1.31807i
$653$			13.7481i			0.538006i	0.963139	+	0.269003i	$0.0866942\pi$
$653$			13.7481i			0.538006i	−0.963139	+	0.269003i	$0.913306\pi$
$654$	31.5011	−	12.3808i	1.23179	−	0.484128i
$655$			0.956549i			0.0373754i
$656$	16.4736	+	1.00866i	0.643185	+	0.0393816i
$657$	−3.95548	+	6.75933i	−0.154318	+	0.263706i
$658$	3.80492	+	22.2469i	0.148331	+	0.867273i
$659$	3.84766	+	6.66434i	0.149884	+	0.259606i	0.931184	−	0.364549i	$-0.118777\pi$
$659$	3.84766	+	6.66434i	0.149884	+	0.259606i	−0.781301	+	0.624155i	$0.785443\pi$
$660$	−3.29832	+	0.766344i	−0.128387	+	0.0298299i
$661$	−22.9482	−	39.7475i	−0.892583	−	1.54600i	−0.836768	−	0.547558i	$-0.815558\pi$
$661$	−22.9482	−	39.7475i	−0.892583	−	1.54600i	−0.0558148	−	0.998441i	$-0.517776\pi$
$662$	−10.8556	−	27.3845i	−0.421915	−	1.06433i
$663$	−41.8575	+	24.0032i	−1.62561	+	0.932207i
$664$	5.69399	−	0.485360i	0.220970	−	0.0188356i
$665$	−0.722161	+	0.235780i	−0.0280042	+	0.00914315i
$666$	−6.41380	+	41.8574i	−0.248530	+	1.62194i
$667$	6.98928	−	4.03526i	0.270626	−	0.156246i
$668$	2.85665	+	0.859858i	0.110527	+	0.0332689i
$669$	−38.5332	+	22.0969i	−1.48978	+	0.854314i
$670$	0.293421	−	1.99283i	0.0113358	−	0.0769898i
$671$	−0.381752	+	0.661213i	−0.0147374	+	0.0255258i
$672$	−10.5298	+	23.6880i	−0.406197	+	0.913786i
$673$	−19.9725	−	34.5933i	−0.769882	−	1.33347i	−0.937627	−	0.347644i	$-0.886982\pi$
$673$	−19.9725	−	34.5933i	−0.769882	−	1.33347i	0.167745	−	0.985830i	$-0.446351\pi$
$674$	28.7066	−	11.3797i	1.10574	−	0.438329i
$675$	−25.7673	−	0.226471i	−0.991784	−	0.00871688i
$676$	8.42275	−	7.92281i	0.323952	−	0.304723i
$677$	1.49640	+	0.863950i	0.0575115	+	0.0332043i	0.528480	−	0.848946i	$-0.322762\pi$
$677$	1.49640	+	0.863950i	0.0575115	+	0.0332043i	−0.470969	+	0.882150i	$0.656095\pi$
$678$	7.87338	+	20.0326i	0.302375	+	0.769349i
$679$	−27.3748	+	8.93766i	−1.05055	+	0.342996i
$680$	−2.10195	−	3.01620i	−0.0806062	−	0.115666i
$681$	1.51150	+	0.00442814i	0.0579208	+	0.000169687i
$682$	−51.1394	−	7.52967i	−1.95823	−	0.288326i
$683$	6.33958	−	10.9805i	0.242577	−	0.420156i	−0.718870	−	0.695144i	$-0.755340\pi$
$683$	6.33958	−	10.9805i	0.242577	−	0.420156i	0.961448	+	0.274988i	$0.0886738\pi$
$684$	−5.80108	−	6.24000i	−0.221810	−	0.238592i
$685$	−0.550456			−0.0210318
$686$	25.1935	−	7.16154i	0.961892	−	0.273429i
$687$	−6.10159	−	0.0178754i	−0.232790	−	0.000681988i
$688$	−3.30164	+	4.98751i	−0.125874	+	0.190147i
$689$	−9.26727	+	5.35046i	−0.353055	+	0.203836i
$690$	0.785569	−	0.986047i	0.0299061	−	0.0375382i
$691$	−3.49834	−	2.01977i	−0.133083	−	0.0768355i	0.431980	−	0.901883i	$-0.357815\pi$
$691$	−3.49834	−	2.01977i	−0.133083	−	0.0768355i	−0.565063	+	0.825047i	$0.691148\pi$
$692$	−3.95742	+	13.1475i	−0.150439	+	0.499793i
$693$	−8.14413	+	37.4961i	−0.309370	+	1.42436i
$694$	−0.830145	+	5.63810i	−0.0315119	+	0.214019i
$695$	1.64074	−	2.84185i	0.0622370	−	0.107798i
$696$	−1.27392	−	15.4808i	−0.0482878	−	0.586797i
$697$	13.2615	+	22.9696i	0.502315	+	0.870035i
$698$	−4.28527	+	29.1043i	−0.162200	+	1.10161i
$699$	10.9321	−	6.26903i	0.413490	−	0.237116i
$700$	26.2341	−	0.608875i	0.991556	−	0.0230133i
$701$		−	10.3958i		−	0.392643i	−0.980540	−	0.196321i	$-0.937100\pi$
$701$		−	10.3958i		−	0.392643i	0.980540	−	0.196321i	$-0.0628996\pi$
$702$	−29.7074	+	11.4753i	−1.12123	+	0.433109i
$703$	12.2742	+	7.08652i	0.462931	+	0.267273i
$704$	24.7265	+	29.7364i	0.931917	+	1.12073i
$705$	−1.82647	−	1.06166i	−0.0687888	−	0.0399844i
$706$	−2.49761	+	3.15392i	−0.0939987	+	0.118699i
$707$	−8.24082	−	1.73940i	−0.309928	−	0.0654169i
$708$	29.4839	−	27.5715i	1.10807	−	1.03620i
$709$	13.4532	−	23.3015i	0.505244	−	0.875108i	−0.494738	−	0.869042i	$-0.664736\pi$
$709$	13.4532	−	23.3015i	0.505244	−	0.875108i	0.999982	−	0.00606555i	$-0.00193074\pi$
$710$	1.34280	−	1.69565i	0.0503943	−	0.0636366i
$711$	4.35468	+	2.54831i	0.163313	+	0.0955692i
$712$	2.72644	+	31.9852i	0.102178	+	1.19870i
$713$	16.6668	−	9.62257i	0.624176	−	0.360368i
$714$	−41.0829	+	6.90268i	−1.53749	+	0.258326i
$715$	3.66874	+	2.11815i	0.137203	+	0.0792142i
$716$	−46.5080	−	13.9990i	−1.73808	−	0.523167i
$717$	−9.30520	+	16.0086i	−0.347509	+	0.597851i
$718$	−4.95360	+	33.6434i	−0.184867	+	1.25556i
$719$	−15.3360	−	26.5627i	−0.571935	−	0.990620i	−0.996367	−	0.0851605i	$-0.972860\pi$
$719$	−15.3360	−	26.5627i	−0.571935	−	0.990620i	0.424432	−	0.905460i	$-0.360474\pi$
$720$	−1.06980	−	2.17790i	−0.0398690	−	0.0811656i
$721$	−0.878068	−	0.185335i	−0.0327010	−	0.00690223i
$722$	22.3281	−	8.85116i	0.830965	−	0.329406i
$723$	−33.7929	−	0.0990005i	−1.25677	−	0.00368187i
$724$	−3.70741	−	15.7472i	−0.137785	−	0.585238i
$725$	−13.6172	+	7.86188i	−0.505729	+	0.291983i
$726$	23.6981	+	18.8799i	0.879518	+	0.700699i
$727$	−26.6313	+	15.3756i	−0.987698	+	0.570248i	−0.904586	−	0.426292i	$-0.859820\pi$
$727$	−26.6313	+	15.3756i	−0.987698	+	0.570248i	−0.0831129	+	0.996540i	$0.526486\pi$
$728$	29.8632	−	12.6477i	1.10681	−	0.468754i
$729$	26.9958	+	0.474574i	0.999846	+	0.0175768i
$730$	0.275101	+	0.693976i	0.0101820	+	0.0256852i
$731$	−9.61210			−0.355516
$732$	−0.523428	−	0.159227i	−0.0193465	−	0.00588519i
$733$	−8.44801			−0.312034			−0.156017	−	0.987754i	$-0.549866\pi$
$733$	−8.44801			−0.312034			−0.156017	+	0.987754i	$0.549866\pi$
$734$	5.51961	−	6.97002i	0.203732	−	0.257268i
$735$	−0.997352	+	2.23957i	−0.0367879	+	0.0826078i
$736$	−14.0904	−	2.96410i	−0.519377	−	0.109258i
$737$	−29.4901	+	17.0261i	−1.08628	+	0.627166i
$738$	6.35561	+	16.3111i	0.233953	+	0.600420i
$739$	−39.1607	−	22.6095i	−1.44055	−	0.831702i	−0.442664	−	0.896687i	$-0.645967\pi$
$739$	−39.1607	−	22.6095i	−1.44055	−	0.831702i	−0.997886	+	0.0649853i	$0.979300\pi$
$740$	2.76560	+	2.94011i	0.101665	+	0.108081i
$741$	−0.0312267	+	10.6589i	−0.00114714	+	0.391566i
$742$	−9.10661	+	1.55752i	−0.334314	+	0.0571784i
$743$	−2.75830	+	4.77752i	−0.101192	+	0.175270i	−0.912176	−	0.409798i	$-0.865599\pi$
$743$	−2.75830	+	4.77752i	−0.101192	+	0.175270i	0.810984	+	0.585069i	$0.198932\pi$
$744$	−3.03782	−	36.9158i	−0.111372	−	1.35340i
$745$	0.421098			0.0154279
$746$	23.2794	+	18.4351i	0.852319	+	0.674958i
$747$	2.99984	+	5.26690i	0.109758	+	0.192706i
$748$	−17.9132	+	59.5120i	−0.654973	+	2.17597i
$749$	−18.9938	+	6.20131i	−0.694017	+	0.226591i
$750$	−3.07366	+	3.85806i	−0.112234	+	0.140876i
$751$			26.0728i			0.951409i	0.879605	+	0.475704i	$0.157807\pi$
$751$			26.0728i			0.951409i	−0.879605	+	0.475704i	$0.842193\pi$
$752$	−1.47459	+	24.0831i	−0.0537727	+	0.878221i
$753$	−20.2664	−	0.0593729i	−0.738547	−	0.00216367i
$754$	−12.0642	+	15.2344i	−0.439354	+	0.554805i
$755$	2.32742			0.0847036
$756$	−27.4926	+	0.396368i	−0.999896	+	0.0144158i
$757$	−16.2705			−0.591363			−0.295681	−	0.955287i	$-0.595547\pi$
$757$	−16.2705			−0.591363			−0.295681	+	0.955287i	$0.595547\pi$
$758$	12.4204	−	15.6842i	0.451130	−	0.569675i
$759$	−21.3125	−	0.0624377i	−0.773595	−	0.00226635i
$760$	−0.809194	+	0.0689763i	−0.0293525	+	0.00250203i
$761$			35.4574i			1.28533i	0.766147	+	0.642665i	$0.222171\pi$
$761$			35.4574i			1.28533i	−0.766147	+	0.642665i	$0.777829\pi$
$762$	−16.3618	+	20.5374i	−0.592726	+	0.743991i
$763$	−27.2032	−	24.4239i	−0.984821	−	0.884205i
$764$	34.0847	+	10.2596i	1.23314	+	0.371178i
$765$	1.96944	−	3.36548i	0.0712053	−	0.121679i
$766$	−1.40172	−	1.11003i	−0.0506462	−	0.0401071i
$767$	−50.5014			−1.82350
$768$	−16.7457	+	22.0813i	−0.604258	+	0.796789i
$769$	24.3120	−	42.1096i	0.876714	−	1.51851i	0.0217873	−	0.999763i	$-0.493064\pi$
$769$	24.3120	−	42.1096i	0.876714	−	1.51851i	0.854926	−	0.518750i	$-0.173602\pi$
$770$	2.33655	+	2.81384i	0.0842036	+	0.101404i
$771$	0.0334613	−	11.4217i	0.00120508	−	0.411342i
$772$	−6.12505	+	5.76149i	−0.220445	+	0.207361i
$773$	−3.22248	−	1.86050i	−0.115904	−	0.0669174i	0.440927	−	0.897543i	$-0.354650\pi$
$773$	−3.22248	−	1.86050i	−0.115904	−	0.0669174i	−0.556831	+	0.830626i	$0.687983\pi$
$774$	−6.27095	−	0.960896i	−0.225405	−	0.0345387i
$775$	−32.4718	+	18.7476i	−1.16642	+	0.673434i
$776$	−30.6740	+	2.61467i	−1.10113	+	0.0938612i
$777$	43.5215	−	14.0685i	1.56133	−	0.504703i
$778$	25.4945	−	32.1938i	0.914022	−	1.15420i
$779$	5.85906			0.209923
$780$	−0.883470	+	2.90424i	−0.0316333	+	0.103988i
$781$	−36.5649			−1.30839
$782$	−8.52710	−	21.5106i	−0.304928	−	0.769218i
$783$	14.3399	−	8.11195i	0.512466	−	0.289897i
$784$	27.9699	−	1.29902i	0.998923	−	0.0463936i
$785$	1.10474	−	0.637819i	0.0394297	−	0.0227647i
$786$	9.06297	+	7.22033i	0.323265	+	0.257541i
$787$	−4.87103	+	2.81229i	−0.173633	+	0.100247i	−0.584298	−	0.811539i	$-0.698630\pi$
$787$	−4.87103	+	2.81229i	−0.173633	+	0.100247i	0.410665	+	0.911786i	$0.365297\pi$
$788$	38.5597	−	9.07825i	1.37363	−	0.323399i
$789$	36.3972	+	0.106630i	1.29578	+	0.00379614i
$790$	0.447092	−	0.177234i	0.0159068	−	0.00630569i
$791$	15.5320	−	17.2994i	0.552254	−	0.615097i
$792$	−17.6359	+	37.0350i	−0.626664	+	1.31598i
$793$	0.342233	+	0.592766i	0.0121531	+	0.0210497i
$794$	−2.05558	+	13.9609i	−0.0729497	+	0.495454i
$795$	0.434583	−	0.747653i	0.0154131	−	0.0265165i
$796$	2.49965	−	8.30442i	0.0885976	−	0.294342i
$797$	23.0396	+	13.3019i	0.816106	+	0.471179i	0.849072	−	0.528277i	$-0.177162\pi$
$797$	23.0396	+	13.3019i	0.816106	+	0.471179i	−0.0329658	+	0.999456i	$0.510495\pi$
$798$	−3.21716	+	8.62196i	−0.113886	+	0.305214i
$799$	−33.5798	+	19.3873i	−1.18797	+	0.685873i
$800$	27.4521	+	5.77494i	0.970580	+	0.204175i
$801$	−29.5861	+	16.8512i	−1.04537	+	0.595407i
$802$	−11.6689	+	14.7352i	−0.412042	+	0.520317i
$803$	6.30996	−	10.9292i	0.222674	−	0.385682i
$804$	−16.6665	−	17.8226i	−0.587784	−	0.628553i
$805$	−1.33237	−	0.281226i	−0.0469600	−	0.00991191i
$806$	−28.7686	+	36.3283i	−1.01333	+	1.27961i
$807$	−38.7652	−	22.5328i	−1.36460	−	0.793191i
$808$	−8.15181	−	3.82342i	−0.286780	−	0.134507i
$809$	1.81806	+	1.04966i	0.0639195	+	0.0369040i	0.531619	−	0.846984i	$-0.321584\pi$
$809$	1.81806	+	1.04966i	0.0639195	+	0.0369040i	−0.467700	+	0.883887i	$0.654917\pi$
$810$	1.62130	−	1.99876i	0.0569668	−	0.0702294i
$811$		−	28.7114i		−	1.00819i	−0.863648	−	0.504096i	$-0.831826\pi$
$811$		−	28.7114i		−	1.00819i	0.863648	−	0.504096i	$-0.168174\pi$
$812$	−14.3313	+	8.72371i	−0.502931	+	0.306142i
$813$	−4.50720	+	2.58466i	−0.158074	+	0.0906479i
$814$	9.93986	−	67.5087i	0.348392	−	2.36618i
$815$	−2.33576	−	4.04565i	−0.0818181	−	0.141713i
$816$	−44.4437	−	2.85196i	−1.55584	−	0.0998386i
$817$	−1.06168	+	1.83888i	−0.0371435	+	0.0643344i
$818$	−0.983448	+	6.67930i	−0.0343855	+	0.233536i
$819$	25.4606	+	23.1302i	0.889665	+	0.808235i
$820$	1.59783	+	0.480949i	0.0557985	+	0.0167955i
$821$	3.22258	+	1.86056i	0.112469	+	0.0649339i	0.555179	−	0.831731i	$-0.312650\pi$
$821$	3.22258	+	1.86056i	0.112469	+	0.0649339i	−0.442710	+	0.896665i	$0.645983\pi$
$822$	−4.15501	+	5.21538i	−0.144923	+	0.181907i
$823$	−22.5798	+	13.0365i	−0.787083	+	0.454422i	−0.838934	−	0.544232i	$-0.816821\pi$
$823$	−22.5798	+	13.0365i	−0.787083	+	0.454422i	0.0518519	+	0.998655i	$0.483488\pi$
$824$	−0.868583	−	0.407389i	−0.0302585	−	0.0141921i
$825$	41.5230	+	0.121647i	1.44565	+	0.00423520i
$826$	−40.8946	−	15.1229i	−1.42291	−	0.526194i
$827$	24.4699			0.850903			0.425451	−	0.904981i	$-0.360115\pi$
$827$	24.4699			0.850903			0.425451	+	0.904981i	$0.360115\pi$
$828$	−3.41274	−	14.8860i	−0.118601	−	0.517324i
$829$	10.2487	−	17.7512i	0.355951	−	0.616526i	−0.631329	−	0.775515i	$-0.717490\pi$
$829$	10.2487	−	17.7512i	0.355951	−	0.616526i	0.987280	+	0.158989i	$0.0508236\pi$
$830$	0.571603	+	0.0841617i	0.0198406	+	0.00292130i
$831$	24.8319	+	0.0727483i	0.861410	+	0.00252361i
$832$	34.1701	−	5.86801i	1.18464	−	0.203437i
$833$	26.5517	+	36.3277i	0.919963	+	1.25868i
$834$	−14.5407	−	36.9967i	−0.503504	−	1.28109i
$835$	0.261206	+	0.150807i	0.00903941	+	0.00521891i
$836$	9.40664	+	10.0002i	0.325336	+	0.345865i
$837$	34.1952	−	19.3439i	1.18196	−	0.668624i
$838$	−4.61045	+	1.82765i	−0.159265	+	0.0631350i
$839$	−3.89934	−	6.75386i	−0.134620	−	0.233169i	0.790832	−	0.612033i	$-0.209648\pi$
$839$	−3.89934	−	6.75386i	−0.134620	−	0.233169i	−0.925452	+	0.378864i	$0.876315\pi$
$840$	−1.58510	+	2.08721i	−0.0546912	+	0.0720157i
$841$	−9.47340	+	16.4084i	−0.326669	+	0.565807i
$842$	4.82119	−	32.7441i	0.166149	−	1.12844i
$843$	12.0477	−	6.90874i	0.414944	−	0.237950i
$844$	8.78998	−	29.2024i	0.302564	−	1.00519i
$845$	1.01247	−	0.584548i	0.0348299	−	0.0201091i
$846$	−23.8456	+	9.29142i	−0.819829	+	0.319446i
$847$	6.75881	−	32.0215i	0.232236	−	1.10027i
$848$	−9.85827	−	0.603613i	−0.338534	−	0.0207281i
$849$	21.9789	−	12.6038i	0.754314	−	0.432562i
$850$	16.6133	+	41.9090i	0.569831	+	1.43747i
$851$	12.7027	+	22.0017i	0.435442	+	0.754208i
$852$	−5.92984	−	25.5218i	−0.203153	−	0.874363i
$853$	18.6999	+	32.3892i	0.640272	+	1.10898i	0.985372	+	0.170418i	$0.0545119\pi$
$853$	18.6999	+	32.3892i	0.640272	+	1.10898i	−0.345099	+	0.938566i	$0.612155\pi$
$854$	0.0996243	+	0.582489i	0.00340907	+	0.0199324i
$855$	−0.426318	−	0.748498i	−0.0145798	−	0.0255981i
$856$	−21.2828	+	1.81416i	−0.727433	+	0.0620069i
$857$			35.3045i			1.20598i	0.797750	+	0.602989i	$0.206024\pi$
$857$			35.3045i			1.20598i	−0.797750	+	0.602989i	$0.793976\pi$
$858$	47.7615	−	18.7716i	1.63055	−	0.640852i
$859$			15.4993i			0.528829i	0.964409	+	0.264415i	$0.0851787\pi$
$859$			15.4993i			0.528829i	−0.964409	+	0.264415i	$0.914821\pi$
$860$	−0.440479	+	0.414334i	−0.0150202	+	0.0141287i
$861$	12.6732	−	14.0324i	0.431903	−	0.478224i
$862$	45.2804	−	17.9498i	1.54225	−	0.611371i
$863$	3.75155	+	6.49787i	0.127704	+	0.221190i	0.922787	−	0.385311i	$-0.125906\pi$
$863$	3.75155	+	6.49787i	0.127704	+	0.221190i	−0.795083	+	0.606501i	$0.792573\pi$
$864$	−28.7100	−	6.30354i	−0.976735	−	0.214451i
$865$	−0.694078	+	1.20218i	−0.0235994	+	0.0408753i
$866$	−27.6265	−	21.8776i	−0.938787	−	0.743432i
$867$	−20.9550	−	36.5420i	−0.711670	−	1.24103i
$868$	−34.1748	+	20.8027i	−1.15997	+	0.706091i
$869$	−7.04110	−	4.06518i	−0.238853	−	0.137902i
$870$	0.233313	−	1.55301i	0.00791004	−	0.0526519i
$871$			30.5273i			1.03438i
$872$	−22.3456	−	32.0648i	−0.756716	−	1.08585i
$873$	−16.1603	−	28.3732i	−0.546945	−	0.960287i
$874$	−5.05702	−	0.744587i	−0.171056	−	0.0251860i
$875$	5.21311	+	1.10034i	0.176235	+	0.0371982i
$876$	8.65173	+	2.63186i	0.292315	+	0.0889221i
$877$	−21.8368			−0.737376			−0.368688	−	0.929553i	$-0.620193\pi$
$877$	−21.8368			−0.737376			−0.368688	+	0.929553i	$0.620193\pi$
$878$	−4.20398	−	10.6050i	−0.141878	−	0.357903i
$879$	41.1977	+	23.9467i	1.38956	+	0.807702i
$880$	1.74441	+	3.49932i	0.0588040	+	0.117962i
$881$			27.3727i			0.922210i	0.887346	+	0.461105i	$0.152547\pi$
$881$			27.3727i			0.922210i	−0.887346	+	0.461105i	$0.847453\pi$
$882$	13.6908	+	26.3545i	0.460994	+	0.887403i
$883$			9.69376i			0.326221i	0.986608	+	0.163111i	$0.0521527\pi$
$883$			9.69376i			0.326221i	−0.986608	+	0.163111i	$0.947847\pi$
$884$	38.1743	+	40.5831i	1.28394	+	1.36496i
$885$	3.54039	−	2.03024i	0.119009	−	0.0682457i
$886$	1.25468	−	0.497371i	0.0421517	−	0.0167095i
$887$	37.3315			1.25347			0.626735	−	0.779233i	$-0.284391\pi$
$887$	37.3315			1.25347			0.626735	+	0.779233i	$0.284391\pi$
$888$	48.7322	−	4.01020i	1.63534	−	0.134573i
$889$	27.7507	+	5.85737i	0.930728	+	0.196450i
$890$	−0.472767	+	3.21090i	−0.0158472	+	0.107630i
$891$	−43.5050	−	0.509835i	−1.45747	−	0.0170801i
$892$	35.1425	+	37.3601i	1.17666	+	1.25091i
$893$			8.56550i			0.286634i
$894$	3.17858	−	3.98976i	0.106308	−	0.133438i
$895$	−4.25259	−	2.45523i	−0.142148	−	0.0820694i
$896$	29.4272	+	5.48068i	0.983095	+	0.183097i
$897$	−9.60162	+	16.5185i	−0.320589	+	0.551538i
$898$	24.9036	−	31.4476i	0.831043	−	1.04942i
$899$	11.9865	−	20.7613i	0.399774	−	0.692428i
$900$	6.64901	+	29.0023i	0.221634	+	0.966742i
$901$	−7.93606	−	13.7457i	−0.264389	−	0.457934i
$902$	−10.3953	−	26.2233i	−0.346125	−	0.873142i
$903$	2.10769	+	6.52026i	0.0701397	+	0.216981i
$904$	20.3911	−	14.2103i	0.678198	−	0.472628i
$905$		−	1.63561i		−	0.0543694i
$906$	17.5681	−	22.0515i	0.583662	−	0.732613i
$907$			11.9183i			0.395740i	0.980228	+	0.197870i	$0.0634023\pi$
$907$			11.9183i			0.395740i	−0.980228	+	0.197870i	$0.936598\pi$
$908$	−0.399976	−	1.69889i	−0.0132737	−	0.0563796i
$909$	0.0559560	−	9.54993i	0.00185594	−	0.316751i
$910$	3.23194	−	0.552765i	0.107138	−	0.0183240i
$911$	−0.151990	−	0.263254i	−0.00503564	−	0.00872198i	0.863497	−	0.504355i	$-0.168270\pi$
$911$	−0.151990	−	0.263254i	−0.00503564	−	0.00872198i	−0.868532	+	0.495633i	$0.834936\pi$
$912$	−5.45452	+	8.18748i	−0.180617	+	0.271115i
$913$	−4.88360	−	8.45864i	−0.161624	−	0.279940i
$914$	21.8572	−	8.66450i	0.722973	−	0.286596i
$915$	−0.0478224	−	0.0277974i	−0.00158096	−	0.000918953i
$916$	1.61461	+	6.85803i	0.0533483	+	0.226596i
$917$	2.58481	−	12.2461i	0.0853578	−	0.404403i
$918$	−17.0208	−	44.0635i	−0.561769	−	1.45431i
$919$	43.0239	−	24.8399i	1.41923	−	0.819391i	0.422996	−	0.906132i	$-0.360978\pi$
$919$	43.0239	−	24.8399i	1.41923	−	0.819391i	0.996231	+	0.0867404i	$0.0276451\pi$
$920$	−1.31798	−	0.618169i	−0.0434526	−	0.0203804i
$921$	−0.0786592	+	26.8496i	−0.00259191	+	0.884723i
$922$	−18.6815	−	2.75063i	−0.615243	−	0.0905873i
$923$	−16.3899	+	28.3881i	−0.539480	+	0.934406i
$924$	44.2972	−	0.898272i	1.45727	−	0.0295510i
$925$	−24.7485	−	42.8657i	−0.813727	−	1.40942i
$926$	14.2688	+	35.9946i	0.468901	+	1.18286i
$927$	0.00596216	−	1.01755i	0.000195823	−	0.0334209i
$928$	−17.0465	+	5.57834i	−0.559580	+	0.183118i
$929$	−44.0464	−	25.4302i	−1.44512	−	0.834338i	−0.446931	−	0.894568i	$-0.647483\pi$
$929$	−44.0464	−	25.4302i	−1.44512	−	0.834338i	−0.998185	+	0.0602303i	$0.980816\pi$
$930$	0.556362	−	3.70334i	0.0182438	−	0.121437i
$931$	9.88253	−	1.06711i	0.323887	−	0.0349732i
$932$	−9.97015	−	10.5993i	−0.326583	−	0.347191i
$933$	8.10239	+	14.1292i	0.265260	+	0.462569i
$934$	−5.35352	+	36.3596i	−0.175172	+	1.18972i
$935$	−3.14174	+	5.44165i	−0.102746	+	0.177961i
$936$	20.8480	+	30.2927i	0.681437	+	0.990147i
$937$	17.1117			0.559014			0.279507	−	0.960144i	$-0.409829\pi$
$937$	17.1117			0.559014			0.279507	+	0.960144i	$0.409829\pi$
$938$	−9.14156	+	24.7201i	−0.298483	+	0.807141i
$939$	22.4652	−	38.6489i	0.733123	−	1.26126i
$940$	−0.703111	+	2.33590i	−0.0229330	+	0.0761887i
$941$	−6.15847	+	3.55559i	−0.200760	+	0.115909i	−0.597010	−	0.802234i	$-0.703645\pi$
$941$	−6.15847	+	3.55559i	−0.200760	+	0.115909i	0.396250	+	0.918143i	$0.370311\pi$
$942$	2.29577	−	15.2814i	0.0748003	−	0.497896i
$943$	9.09538	+	5.25122i	0.296186	+	0.171003i
$944$	−38.8672	−	25.7293i	−1.26502	−	0.837418i
$945$	−2.71478	−	0.597982i	−0.0883119	−	0.0194524i
$946$	10.1139	+	1.48916i	0.328832	+	0.0484167i
$947$	1.37486	−	2.38132i	0.0446768	−	0.0773825i	−0.842822	−	0.538192i	$-0.819108\pi$
$947$	1.37486	−	2.38132i	0.0446768	−	0.0773825i	0.887499	+	0.460809i	$0.152441\pi$
$948$	1.69557	−	5.57386i	0.0550695	−	0.181031i
$949$	−5.65677	−	9.79781i	−0.183626	−	0.318050i
$950$	9.85256	+	1.45067i	0.319659	+	0.0470661i
$951$	0.615375	+	0.357695i	0.0199549	+	0.0115990i
$952$	18.7596	+	44.2946i	0.608003	+	1.43560i
$953$		−	47.1073i		−	1.52595i	−0.646425	−	0.762977i	$-0.723737\pi$
$953$		−	47.1073i		−	1.52595i	0.646425	−	0.762977i	$-0.276263\pi$
$954$	−3.80338	−	9.76104i	−0.123139	−	0.316025i
$955$	3.11663	+	1.79939i	0.100852	+	0.0582268i
$956$	20.4737	+	6.16261i	0.662165	+	0.199313i
$957$	−23.0304	+	13.2068i	−0.744468	+	0.426915i
$958$	−46.4415	−	36.7773i	−1.50046	−	1.18822i
$959$	7.04716	+	1.48745i	0.227565	+	0.0480323i
$960$	−2.15959	+	1.78507i	−0.0697004	+	0.0576129i
$961$	13.0834	−	22.6610i	0.422044	−	0.731001i
$962$	−47.9567	−	37.9772i	−1.54619	−	1.22443i
$963$	−11.2127	−	19.6865i	−0.361324	−	0.634388i
$964$	8.94233	+	37.9823i	0.288013	+	1.22333i
$965$	−0.736269	+	0.425085i	−0.0237014	+	0.0136840i
$966$	−12.7217	+	10.5010i	−0.409314	+	0.337864i
$967$	52.8638	+	30.5209i	1.69998	+	0.981486i	0.945759	+	0.324870i	$0.105321\pi$
$967$	52.8638	+	30.5209i	1.69998	+	0.981486i	0.754225	+	0.656616i	$0.228013\pi$
$968$	14.8567	−	31.6756i	0.477513	−	1.01809i
$969$	−15.8098	−	0.0463170i	−0.507886	−	0.00148792i
$970$	−3.07927	−	0.453386i	−0.0988692	−	0.0145573i
$971$	11.3046	+	19.5801i	0.362781	+	0.628355i	0.988417	−	0.151760i	$-0.0484941\pi$
$971$	11.3046	+	19.5801i	0.362781	+	0.628355i	−0.625637	+	0.780115i	$0.715161\pi$
$972$	−6.69948	−	30.4486i	−0.214886	−	0.976639i
$973$	−28.6848	+	31.9489i	−0.919592	+	1.02423i
$974$	−2.74206	−	6.91717i	−0.0878614	−	0.221641i
$975$	18.7068	−	32.1830i	0.599096	−	1.03068i
$976$	−0.0386091	+	0.630568i	−0.00123585	+	0.0201840i
$977$	−24.6269	+	14.2183i	−0.787884	+	0.454885i	−0.839217	−	0.543797i	$-0.816986\pi$
$977$	−24.6269	+	14.2183i	−0.787884	+	0.454885i	0.0513332	+	0.998682i	$0.483653\pi$
$978$	−55.9622	−	8.40735i	−1.78947	−	0.268838i
$979$	47.5153	−	27.4329i	1.51859	−	0.876761i
$980$	2.78267	+	0.520208i	0.0888890	+	0.0166174i
$981$	20.9368	−	35.7779i	0.668462	−	1.14230i
$982$	23.8111	−	9.43904i	0.759843	−	0.301212i
$983$	−18.8934			−0.602605			−0.301302	−	0.953529i	$-0.597421\pi$
$983$	−18.8934			−0.602605			−0.301302	+	0.953529i	$0.597421\pi$
$984$	16.6177	−	11.5085i	0.529754	−	0.366878i
$985$	4.00507			0.127612
$986$	−22.5964	−	17.8943i	−0.719617	−	0.569869i
$987$	20.5144	+	18.5273i	0.652979	+	0.589731i
$988$	11.9804	−	2.82059i	0.381147	−	0.0897348i
$989$	−3.29622	+	1.90308i	−0.104814	+	0.0605143i
$990$	−2.59366	+	3.23607i	−0.0824320	+	0.102849i
$991$	11.6412	+	6.72103i	0.369794	+	0.213500i	0.673368	−	0.739307i	$-0.264847\pi$
$991$	11.6412	+	6.72103i	0.369794	+	0.213500i	−0.303575	+	0.952808i	$0.598180\pi$
$992$	−40.6495	+	13.3022i	−1.29062	+	0.422346i
$993$	−31.1917	−	18.1306i	−0.989837	−	0.575356i
$994$	−21.7731	+	18.0799i	−0.690599	+	0.573459i
$995$	0.438404	−	0.759338i	0.0138983	−	0.0240726i
$996$	5.11204	−	4.78046i	0.161981	−	0.151475i
$997$	18.7482			0.593762			0.296881	−	0.954915i	$-0.404054\pi$
$997$	18.7482			0.593762			0.296881	+	0.954915i	$0.404054\pi$
$998$	25.5802	−	32.3020i	0.809727	−	1.02250i
$999$	25.5357	+	45.1408i	0.807915	+	1.42819i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	252.2.o.a.95.11	yes	88
3.2	odd	2		756.2.o.a.179.34		88
4.3	odd	2	inner	252.2.o.a.95.6	✓	88
7.2	even	3		252.2.bb.a.23.21	yes	88
9.2	odd	6		252.2.bb.a.11.24	yes	88
9.7	even	3		756.2.bb.a.683.21		88
12.11	even	2		756.2.o.a.179.39		88
21.2	odd	6		756.2.bb.a.611.24		88
28.23	odd	6		252.2.bb.a.23.24	yes	88
36.7	odd	6		756.2.bb.a.683.24		88
36.11	even	6		252.2.bb.a.11.21	yes	88
63.2	odd	6	inner	252.2.o.a.191.6	yes	88
63.16	even	3		756.2.o.a.359.39		88
84.23	even	6		756.2.bb.a.611.21		88
252.79	odd	6		756.2.o.a.359.34		88
252.191	even	6	inner	252.2.o.a.191.11	yes	88

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
252.2.o.a.95.6	✓	88	4.3	odd	2	inner
252.2.o.a.95.11	yes	88	1.1	even	1	trivial
252.2.o.a.191.6	yes	88	63.2	odd	6	inner
252.2.o.a.191.11	yes	88	252.191	even	6	inner
252.2.bb.a.11.21	yes	88	36.11	even	6
252.2.bb.a.11.24	yes	88	9.2	odd	6
252.2.bb.a.23.21	yes	88	7.2	even	3
252.2.bb.a.23.24	yes	88	28.23	odd	6
756.2.o.a.179.34		88	3.2	odd	2
756.2.o.a.179.39		88	12.11	even	2
756.2.o.a.359.34		88	252.79	odd	6
756.2.o.a.359.39		88	63.16	even	3
756.2.bb.a.611.21		88	84.23	even	6
756.2.bb.a.611.24		88	21.2	odd	6
756.2.bb.a.683.21		88	9.7	even	3
756.2.bb.a.683.24		88	36.7	odd	6

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:	\( N \)	\(=\)	\( 252 = 2^{2} \cdot 3^{2} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	252.o (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.10868 - 0.877970i) q^{2} +(-1.73204 - 0.00507424i) q^{3} +(0.458336 + 1.94677i) q^{4} +0.202205i q^{5} +(1.91582 + 1.52631i) q^{6} +(0.546403 - 2.58871i) q^{7} +(1.20106 - 2.56075i) q^{8} +(2.99995 + 0.0175776i) q^{9} +O(q^{10})\)	\(q+(-1.10868 - 0.877970i) q^{2} +(-1.73204 - 0.00507424i) q^{3} +(0.458336 + 1.94677i) q^{4} +0.202205i q^{5} +(1.91582 + 1.52631i) q^{6} +(0.546403 - 2.58871i) q^{7} +(1.20106 - 2.56075i) q^{8} +(2.99995 + 0.0175776i) q^{9} +(0.177530 - 0.224181i) q^{10} -4.83422 q^{11} +(-0.783980 - 3.37422i) q^{12} +(-2.16689 + 3.75317i) q^{13} +(-2.87860 + 2.39033i) q^{14} +(0.00102604 - 0.350228i) q^{15} +(-3.57986 + 1.78455i) q^{16} +(-5.56689 - 3.21404i) q^{17} +(-3.31055 - 2.65335i) q^{18} +(-1.22975 + 0.709998i) q^{19} +(-0.393648 + 0.0926780i) q^{20} +(-0.959530 + 4.48099i) q^{21} +(5.35959 + 4.24430i) q^{22} -2.54536 q^{23} +(-2.09328 + 4.42924i) q^{24} +4.95911 q^{25} +(5.69756 - 2.25859i) q^{26} +(-5.19595 - 0.0456677i) q^{27} +(5.29008 - 0.122779i) q^{28} +(-2.74589 + 1.58534i) q^{29} +(-0.308628 + 0.387390i) q^{30} +(-6.54790 + 3.78043i) q^{31} +(5.53569 + 1.16451i) q^{32} +(8.37307 + 0.0245300i) q^{33} +(3.35005 + 8.45090i) q^{34} +(0.523452 + 0.110486i) q^{35} +(1.34077 + 5.84828i) q^{36} +(-4.99052 - 8.64383i) q^{37} +(1.98676 + 0.292527i) q^{38} +(3.77220 - 6.48966i) q^{39} +(0.517797 + 0.242861i) q^{40} +(-3.57331 - 2.06305i) q^{41} +(4.99799 - 4.12554i) q^{42} +(1.29499 - 0.747664i) q^{43} +(-2.21570 - 9.41113i) q^{44} +(-0.00355429 + 0.606605i) q^{45} +(2.82199 + 2.23475i) q^{46} +(3.01603 - 5.22392i) q^{47} +(6.20952 - 3.07276i) q^{48} +(-6.40289 - 2.82896i) q^{49} +(-5.49806 - 4.35395i) q^{50} +(9.62578 + 5.59511i) q^{51} +(-8.29974 - 2.49824i) q^{52} +(2.13838 + 1.23459i) q^{53} +(5.72055 + 4.61252i) q^{54} -0.977504i q^{55} +(-5.97279 - 4.50841i) q^{56} +(2.13359 - 1.22351i) q^{57} +(4.43619 + 0.653177i) q^{58} +(5.82647 + 10.0917i) q^{59} +(0.682285 - 0.158525i) q^{60} +(0.0789686 - 0.136778i) q^{61} +(10.5786 + 1.55758i) q^{62} +(1.68468 - 7.75641i) q^{63} +(-5.11490 - 6.15124i) q^{64} +(-0.758911 - 0.438157i) q^{65} +(-9.26151 - 7.37851i) q^{66} +(6.10030 - 3.52201i) q^{67} +(3.70551 - 12.3106i) q^{68} +(4.40868 + 0.0129158i) q^{69} +(-0.483337 - 0.582068i) q^{70} +7.56377 q^{71} +(3.64814 - 7.66101i) q^{72} +(-1.30527 + 2.26080i) q^{73} +(-2.05615 + 13.9648i) q^{74} +(-8.58940 - 0.0251637i) q^{75} +(-1.94585 - 2.06863i) q^{76} +(-2.64143 + 12.5144i) q^{77} +(-9.87989 + 3.88307i) q^{78} +(1.45651 + 0.840918i) q^{79} +(-0.360846 - 0.723866i) q^{80} +(8.99938 + 0.105464i) q^{81} +(2.15036 + 5.42453i) q^{82} +(1.01022 + 1.74974i) q^{83} +(-9.16327 + 0.185815i) q^{84} +(0.649896 - 1.12565i) q^{85} +(-2.09216 - 0.308045i) q^{86} +(4.76404 - 2.73194i) q^{87} +(-5.80619 + 12.3792i) q^{88} +(-9.82895 + 5.67475i) q^{89} +(0.536522 - 0.669410i) q^{90} +(8.53189 + 7.66022i) q^{91} +(-1.16663 - 4.95525i) q^{92} +(11.3604 - 6.51465i) q^{93} +(-7.93025 + 3.14366i) q^{94} +(-0.143565 - 0.248662i) q^{95} +(-9.58215 - 2.04507i) q^{96} +(-5.44211 - 9.42600i) q^{97} +(4.61500 + 8.75796i) q^{98} +(-14.5024 - 0.0849740i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 88 q - 3 q^{2} + q^{4} - 6 q^{6} - 2 q^{9}+O(q^{10}) \) 88 * q - 3 * q^2 + q^4 - 6 * q^6 - 2 * q^9	\( 88 q - 3 q^{2} + q^{4} - 6 q^{6} - 2 q^{9} + 2 q^{10} + 3 q^{12} - 4 q^{13} - 3 q^{14} + q^{16} + 5 q^{18} - 6 q^{20} - 6 q^{22} - 14 q^{24} - 60 q^{25} - 6 q^{26} - 24 q^{29} + 22 q^{30} + 27 q^{32} - 26 q^{33} - 4 q^{34} + 2 q^{36} - 4 q^{37} + 8 q^{40} - 12 q^{41} - 13 q^{42} - 57 q^{44} + 42 q^{45} - 6 q^{46} - 43 q^{48} - 2 q^{49} + 9 q^{50} + 14 q^{52} - 22 q^{54} - 66 q^{56} - 28 q^{57} - 10 q^{58} + 32 q^{60} + 2 q^{61} - 8 q^{64} + 18 q^{65} - 93 q^{66} - 6 q^{69} + 30 q^{70} + 53 q^{72} - 4 q^{73} - 6 q^{76} - 30 q^{77} + 55 q^{78} + 87 q^{80} + 26 q^{81} - 4 q^{82} - 7 q^{84} - 14 q^{85} - 18 q^{88} + 60 q^{89} + 41 q^{90} + 24 q^{92} - 30 q^{93} + 9 q^{94} - 20 q^{96} - 4 q^{97} - 57 q^{98}+O(q^{100}) \) 88 * q - 3 * q^2 + q^4 - 6 * q^6 - 2 * q^9 + 2 * q^10 + 3 * q^12 - 4 * q^13 - 3 * q^14 + q^16 + 5 * q^18 - 6 * q^20 - 6 * q^22 - 14 * q^24 - 60 * q^25 - 6 * q^26 - 24 * q^29 + 22 * q^30 + 27 * q^32 - 26 * q^33 - 4 * q^34 + 2 * q^36 - 4 * q^37 + 8 * q^40 - 12 * q^41 - 13 * q^42 - 57 * q^44 + 42 * q^45 - 6 * q^46 - 43 * q^48 - 2 * q^49 + 9 * q^50 + 14 * q^52 - 22 * q^54 - 66 * q^56 - 28 * q^57 - 10 * q^58 + 32 * q^60 + 2 * q^61 - 8 * q^64 + 18 * q^65 - 93 * q^66 - 6 * q^69 + 30 * q^70 + 53 * q^72 - 4 * q^73 - 6 * q^76 - 30 * q^77 + 55 * q^78 + 87 * q^80 + 26 * q^81 - 4 * q^82 - 7 * q^84 - 14 * q^85 - 18 * q^88 + 60 * q^89 + 41 * q^90 + 24 * q^92 - 30 * q^93 + 9 * q^94 - 20 * q^96 - 4 * q^97 - 57 * q^98

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

Related objects

Downloads

Learn more