LMFDB - Embedded newform 570.2.bi.a.347.33

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [570,2,Mod(17,570)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(570, base_ring=CyclotomicField(36))

chi = DirichletCharacter(H, H._module([18, 9, 20]))

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

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

chi := DirichletCharacter("570.17");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 570 = 2 \cdot 3 \cdot 5 \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	570.bi (of order $36$, degree $12$, 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:	$4.55147291521$
Analytic rank:	$0$
Dimension:	$480$
Relative dimension:	$40$ over $\Q(\zeta_{36})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{36}]$

Embedding invariants

Embedding label			347.33
Character	$\chi$	$=$	570.347
Dual form			570.2.bi.a.23.33

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.422618 - 0.906308i) q^{2} +(0.651562 + 1.60483i) q^{3} +(-0.642788 - 0.766044i) q^{4} +(-2.12425 + 0.698252i) q^{5} +(1.72983 + 0.0877136i) q^{6} +(0.771887 - 2.88072i) q^{7} +(-0.965926 + 0.258819i) q^{8} +(-2.15094 + 2.09129i) q^{9} +O(q^{10})$	\(q+(0.422618 - 0.906308i) q^{2} +(0.651562 + 1.60483i) q^{3} +(-0.642788 - 0.766044i) q^{4} +(-2.12425 + 0.698252i) q^{5} +(1.72983 + 0.0877136i) q^{6} +(0.771887 - 2.88072i) q^{7} +(-0.965926 + 0.258819i) q^{8} +(-2.15094 + 2.09129i) q^{9} +(-0.264916 + 2.22032i) q^{10} +(4.54257 + 2.62265i) q^{11} +(0.810553 - 1.53069i) q^{12} +(5.15970 + 3.61286i) q^{13} +(-2.28461 - 1.91701i) q^{14} +(-2.50465 - 2.95410i) q^{15} +(-0.173648 + 0.984808i) q^{16} +(-0.850862 + 1.82468i) q^{17} +(0.986324 + 2.83323i) q^{18} +(3.51804 + 2.57359i) q^{19} +(1.90033 + 1.17844i) q^{20} +(5.12599 - 0.638222i) q^{21} +(4.29671 - 3.00859i) q^{22} +(-3.36921 - 0.294768i) q^{23} +(-1.04472 - 1.38151i) q^{24} +(4.02489 - 2.96653i) q^{25} +(5.45495 - 3.14942i) q^{26} +(-4.75762 - 2.08928i) q^{27} +(-2.70292 + 1.26039i) q^{28} +(4.14994 + 1.51045i) q^{29} +(-3.73584 + 1.02153i) q^{30} +(-1.72653 - 2.99044i) q^{31} +(0.819152 + 0.573576i) q^{32} +(-1.24914 + 8.99886i) q^{33} +(1.29413 + 1.54229i) q^{34} +(0.371788 + 6.65835i) q^{35} +(2.98461 + 0.303459i) q^{36} +(3.88883 + 3.88883i) q^{37} +(3.81926 - 2.10078i) q^{38} +(-2.43615 + 10.6344i) q^{39} +(1.87115 - 1.22426i) q^{40} +(-8.88378 - 1.56645i) q^{41} +(1.58791 - 4.91545i) q^{42} +(-5.74981 + 0.503043i) q^{43} +(-0.910838 - 5.16562i) q^{44} +(3.10888 - 5.94431i) q^{45} +(-1.69104 + 2.92897i) q^{46} +(8.51881 - 3.97239i) q^{47} +(-1.69359 + 0.362988i) q^{48} +(-1.64056 - 0.947179i) q^{49} +(-0.987595 - 4.90150i) q^{50} +(-3.48268 - 0.176595i) q^{51} +(-0.548980 - 6.27487i) q^{52} +(10.5832 + 0.925908i) q^{53} +(-3.90418 + 3.42890i) q^{54} +(-11.4808 - 2.39932i) q^{55} +2.98234i q^{56} +(-1.83795 + 7.32270i) q^{57} +(3.12278 - 3.12278i) q^{58} +(-4.19415 + 1.52654i) q^{59} +(-0.653012 + 3.81754i) q^{60} +(-8.74677 + 7.33941i) q^{61} +(-3.43992 + 0.300954i) q^{62} +(4.36413 + 7.81048i) q^{63} +(0.866025 - 0.500000i) q^{64} +(-13.4832 - 4.07186i) q^{65} +(7.62783 + 4.93519i) q^{66} +(-4.04485 - 8.67420i) q^{67} +(1.94471 - 0.521083i) q^{68} +(-1.72220 - 5.59906i) q^{69} +(6.19163 + 2.47698i) q^{70} +(1.24794 - 1.48724i) q^{71} +(1.53638 - 2.57673i) q^{72} +(-7.61738 - 10.8787i) q^{73} +(5.16797 - 1.88099i) q^{74} +(7.38322 + 4.52637i) q^{75} +(-0.289865 - 4.34925i) q^{76} +(11.0615 - 11.0615i) q^{77} +(8.60851 + 6.70221i) q^{78} +(6.95672 + 1.22666i) q^{79} +(-0.318772 - 2.21323i) q^{80} +(0.253044 - 8.99644i) q^{81} +(-5.17413 + 7.38943i) q^{82} +(0.902946 - 3.36984i) q^{83} +(-3.78383 - 3.51649i) q^{84} +(0.533359 - 4.47020i) q^{85} +(-1.97406 + 5.42369i) q^{86} +(0.279924 + 7.64408i) q^{87} +(-5.06658 - 1.35759i) q^{88} +(-1.58210 - 8.97253i) q^{89} +(-4.07351 - 5.32978i) q^{90} +(14.3904 - 12.0749i) q^{91} +(1.93988 + 2.77044i) q^{92} +(3.67419 - 4.71924i) q^{93} -9.39947i q^{94} +(-9.27022 - 3.01048i) q^{95} +(-0.386763 + 1.68832i) q^{96} +(-11.9774 - 5.58514i) q^{97} +(-1.55177 + 1.08656i) q^{98} +(-15.2555 + 3.85866i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 480 q+O(q^{10}) $ 480 * q	$ 480 q - 36 q^{15} - 48 q^{18} + 24 q^{22} - 24 q^{25} + 72 q^{33} + 24 q^{43} - 36 q^{45} + 24 q^{51} - 120 q^{55} + 108 q^{57} - 48 q^{60} - 48 q^{61} - 36 q^{63} - 24 q^{66} + 48 q^{67} - 48 q^{70} - 48 q^{78} - 144 q^{81} - 48 q^{85} - 96 q^{87} - 168 q^{90} - 144 q^{91} - 228 q^{93} + 48 q^{97}+O(q^{100}) $ 480 * q - 36 * q^15 - 48 * q^18 + 24 * q^22 - 24 * q^25 + 72 * q^33 + 24 * q^43 - 36 * q^45 + 24 * q^51 - 120 * q^55 + 108 * q^57 - 48 * q^60 - 48 * q^61 - 36 * q^63 - 24 * q^66 + 48 * q^67 - 48 * q^70 - 48 * q^78 - 144 * q^81 - 48 * q^85 - 96 * q^87 - 168 * q^90 - 144 * q^91 - 228 * q^93 + 48 * q^97

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/570\mathbb{Z}\right)^\times$.

$n$	$191$	$211$	$457$
$\chi(n)$	$-1$	$e\left(\frac{8}{9}\right)$	$e\left(\frac{1}{4}\right)$

Coefficient data

For each $n$ we display the coefficients of the $q$-expansion $a_n$, the Satake parameters $\alpha_p$, and the Satake angles $\theta_p = \textrm{Arg}(\alpha_p)$.

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

$n$	$a_n$			$a_n / n^{(k-1)/2}$			$ \alpha_n $			$ \theta_n $
$p$	$a_p$			$a_p / p^{(k-1)/2}$			$ \alpha_p$			$ \theta_p $

$2$	0.422618	−	0.906308i	0.298836	−	0.640856i
$2$	0.422618	−	0.906308i	0.298836	−	0.640856i
$3$	0.651562	+	1.60483i	0.376179	+	0.926547i
$3$	0.651562	+	1.60483i	0.376179	+	0.926547i
$4$	−0.642788	−	0.766044i	−0.321394	−	0.383022i
$5$	−2.12425	+	0.698252i	−0.949994	+	0.312268i
$5$	−2.12425	+	0.698252i	−0.949994	+	0.312268i
$6$	1.72983	+	0.0877136i	0.706199	+	0.0358089i
$7$	0.771887	−	2.88072i	0.291746	−	1.08881i	−0.652022	−	0.758200i	$-0.726079\pi$
$7$	0.771887	−	2.88072i	0.291746	−	1.08881i	0.943768	−	0.330610i	$-0.107254\pi$
$8$	−0.965926	+	0.258819i	−0.341506	+	0.0915064i
$9$	−2.15094	+	2.09129i	−0.716978	+	0.697095i
$10$	−0.264916	+	2.22032i	−0.0837738	+	0.702127i
$11$	4.54257	+	2.62265i	1.36964	+	0.790760i	0.990881	−	0.134737i	$-0.0430188\pi$
$11$	4.54257	+	2.62265i	1.36964	+	0.790760i	0.378755	+	0.925497i	$0.376352\pi$
$12$	0.810553	−	1.53069i	0.233986	−	0.441871i
$13$	5.15970	+	3.61286i	1.43104	+	1.00203i	0.994762	+	0.102219i	$0.0325941\pi$
$13$	5.15970	+	3.61286i	1.43104	+	1.00203i	0.436283	+	0.899810i	$0.356295\pi$
$14$	−2.28461	−	1.91701i	−0.610587	−	0.512343i
$15$	−2.50465	−	2.95410i	−0.646699	−	0.762745i
$16$	−0.173648	+	0.984808i	−0.0434120	+	0.246202i
$17$	−0.850862	+	1.82468i	−0.206364	+	0.442550i	−0.982063	−	0.188554i	$-0.939620\pi$
$17$	−0.850862	+	1.82468i	−0.206364	+	0.442550i	0.775698	+	0.631104i	$0.217398\pi$
$18$	0.986324	+	2.83323i	0.232479	+	0.667798i
$19$	3.51804	+	2.57359i	0.807094	+	0.590423i
$19$	3.51804	+	2.57359i	0.807094	+	0.590423i
$20$	1.90033	+	1.17844i	0.424928	+	0.263508i
$21$	5.12599	−	0.638222i	1.11858	−	0.139272i
$22$	4.29671	−	3.00859i	0.916061	−	0.641433i
$23$	−3.36921	−	0.294768i	−0.702530	−	0.0614634i	−0.269707	−	0.962942i	$-0.586927\pi$
$23$	−3.36921	−	0.294768i	−0.702530	−	0.0614634i	−0.432823	+	0.901479i	$0.642482\pi$
$24$	−1.04472	−	1.38151i	−0.213253	−	0.281999i
$25$	4.02489	−	2.96653i	0.804978	−	0.593305i
$26$	5.45495	−	3.14942i	1.06980	−	0.617652i
$27$	−4.75762	−	2.08928i	−0.915604	−	0.402081i
$28$	−2.70292	+	1.26039i	−0.510804	+	0.238192i
$29$	4.14994	+	1.51045i	0.770624	+	0.280484i	0.697257	−	0.716821i	$-0.254403\pi$
$29$	4.14994	+	1.51045i	0.770624	+	0.280484i	0.0733667	+	0.997305i	$0.476626\pi$
$30$	−3.73584	+	1.02153i	−0.682067	+	0.186505i
$31$	−1.72653	−	2.99044i	−0.310094	−	0.537099i	0.668288	−	0.743902i	$-0.267027\pi$
$31$	−1.72653	−	2.99044i	−0.310094	−	0.537099i	−0.978382	+	0.206804i	$0.933694\pi$
$32$	0.819152	+	0.573576i	0.144807	+	0.101395i
$33$	−1.24914	+	8.99886i	−0.217447	+	1.56650i
$34$	1.29413	+	1.54229i	0.221942	+	0.264500i
$35$	0.371788	+	6.65835i	0.0628436	+	1.12547i
$36$	2.98461	+	0.303459i	0.497435	+	0.0505765i
$37$	3.88883	+	3.88883i	0.639320	+	0.639320i	0.950388	−	0.311068i	$-0.100687\pi$
$37$	3.88883	+	3.88883i	0.639320	+	0.639320i	−0.311068	+	0.950388i	$0.600687\pi$
$38$	3.81926	−	2.10078i	0.619565	−	0.340791i
$39$	−2.43615	+	10.6344i	−0.390097	+	1.70287i
$40$	1.87115	−	1.22426i	0.295855	−	0.193572i
$41$	−8.88378	−	1.56645i	−1.38741	−	0.244638i	−0.570452	−	0.821331i	$-0.693232\pi$
$41$	−8.88378	−	1.56645i	−1.38741	−	0.244638i	−0.816961	+	0.576692i	$0.804343\pi$
$42$	1.58791	−	4.91545i	0.245020	−	0.758470i
$43$	−5.74981	+	0.503043i	−0.876838	+	0.0767134i	−0.516681	−	0.856178i	$-0.672833\pi$
$43$	−5.74981	+	0.503043i	−0.876838	+	0.0767134i	−0.360157	+	0.932892i	$0.617277\pi$
$44$	−0.910838	−	5.16562i	−0.137314	−	0.778747i
$45$	3.10888	−	5.94431i	0.463445	−	0.886126i
$46$	−1.69104	+	2.92897i	−0.249331	+	0.431853i
$47$	8.51881	−	3.97239i	1.24260	−	0.579432i	0.313612	−	0.949551i	$-0.398461\pi$
$47$	8.51881	−	3.97239i	1.24260	−	0.579432i	0.928984	+	0.370119i	$0.120683\pi$
$48$	−1.69359	+	0.362988i	−0.244448	+	0.0523928i
$49$	−1.64056	−	0.947179i	−0.234366	−	0.135311i
$50$	−0.987595	−	4.90150i	−0.139667	−	0.693176i
$51$	−3.48268	−	0.176595i	−0.487673	−	0.0247282i
$52$	−0.548980	−	6.27487i	−0.0761298	−	0.870168i
$53$	10.5832	+	0.925908i	1.45371	+	0.127183i	0.786456	−	0.617646i	$-0.211914\pi$
$53$	10.5832	+	0.925908i	1.45371	+	0.127183i	0.667255	+	0.744830i	$0.267469\pi$
$54$	−3.90418	+	3.42890i	−0.531292	+	0.466614i
$55$	−11.4808	−	2.39932i	−1.54808	−	0.323524i
$56$			2.98234i			0.398532i
$57$	−1.83795	+	7.32270i	−0.243443	+	0.969915i
$58$	3.12278	−	3.12278i	0.410041	−	0.410041i
$59$	−4.19415	+	1.52654i	−0.546031	+	0.198739i	−0.600282	−	0.799788i	$-0.704945\pi$
$59$	−4.19415	+	1.52654i	−0.546031	+	0.198739i	0.0542510	+	0.998527i	$0.482723\pi$
$60$	−0.653012	+	3.81754i	−0.0843034	+	0.492842i
$61$	−8.74677	+	7.33941i	−1.11991	+	0.939715i	−0.998600	−	0.0529000i	$-0.983154\pi$
$61$	−8.74677	+	7.33941i	−1.11991	+	0.939715i	−0.121309	+	0.992615i	$0.538709\pi$
$62$	−3.43992	+	0.300954i	−0.436870	+	0.0382212i
$63$	4.36413	+	7.81048i	0.549829	+	0.984028i
$64$	0.866025	−	0.500000i	0.108253	−	0.0625000i
$65$	−13.4832	−	4.07186i	−1.67239	−	0.505052i
$66$	7.62783	+	4.93519i	0.938921	+	0.607480i
$67$	−4.04485	−	8.67420i	−0.494157	−	1.05972i	−0.982361	−	0.186993i	$-0.940126\pi$
$67$	−4.04485	−	8.67420i	−0.494157	−	1.05972i	0.488204	−	0.872729i	$-0.337652\pi$
$68$	1.94471	−	0.521083i	0.235831	−	0.0631906i
$69$	−1.72220	−	5.59906i	−0.207328	−	0.674048i
$70$	6.19163	+	2.47698i	0.740042	+	0.296056i
$71$	1.24794	−	1.48724i	0.148104	−	0.176503i	−0.686892	−	0.726759i	$-0.741026\pi$
$71$	1.24794	−	1.48724i	0.148104	−	0.176503i	0.834996	+	0.550256i	$0.185470\pi$
$72$	1.53638	−	2.57673i	0.181064	−	0.303671i
$73$	−7.61738	−	10.8787i	−0.891547	−	1.27326i	−0.961246	−	0.275692i	$-0.911093\pi$
$73$	−7.61738	−	10.8787i	−0.891547	−	1.27326i	0.0696993	−	0.997568i	$-0.477796\pi$
$74$	5.16797	−	1.88099i	0.600764	−	0.218660i
$75$	7.38322	+	4.52637i	0.852541	+	0.522660i
$76$	−0.289865	−	4.34925i	−0.0332498	−	0.498893i
$77$	11.0615	−	11.0615i	1.26057	−	1.26057i
$78$	8.60851	+	6.70221i	0.974721	+	0.758876i
$79$	6.95672	+	1.22666i	0.782692	+	0.138010i	0.550695	−	0.834707i	$-0.314363\pi$
$79$	6.95672	+	1.22666i	0.782692	+	0.138010i	0.231997	+	0.972716i	$0.425474\pi$
$80$	−0.318772	−	2.21323i	−0.0356398	−	0.247447i
$81$	0.253044	−	8.99644i	0.0281160	−	0.999605i
$82$	−5.17413	+	7.38943i	−0.571388	+	0.816026i
$83$	0.902946	−	3.36984i	0.0991112	−	0.369888i	−0.898499	−	0.438975i	$-0.855342\pi$
$83$	0.902946	−	3.36984i	0.0991112	−	0.369888i	0.997611	+	0.0690866i	$0.0220085\pi$
$84$	−3.78383	−	3.51649i	−0.412849	−	0.383681i
$85$	0.533359	−	4.47020i	0.0578509	−	0.484861i
$86$	−1.97406	+	5.42369i	−0.212869	+	0.584852i
$87$	0.279924	+	7.64408i	0.0300110	+	0.819532i
$88$	−5.06658	−	1.35759i	−0.540099	−	0.144719i
$89$	−1.58210	−	8.97253i	−0.167702	−	0.951087i	−0.946234	−	0.323482i	$-0.895147\pi$
$89$	−1.58210	−	8.97253i	−0.167702	−	0.951087i	0.778532	−	0.627605i	$-0.215965\pi$
$90$	−4.07351	−	5.32978i	−0.429385	−	0.561808i
$91$	14.3904	−	12.0749i	1.50852	−	1.26580i
$92$	1.93988	+	2.77044i	0.202247	+	0.288838i
$93$	3.67419	−	4.71924i	0.380996	−	0.489362i
$94$		−	9.39947i		−	0.969481i
$95$	−9.27022	−	3.01048i	−0.951105	−	0.308869i
$96$	−0.386763	+	1.68832i	−0.0394738	+	0.172313i
$97$	−11.9774	−	5.58514i	−1.21612	−	0.567085i	−0.294674	−	0.955598i	$-0.595211\pi$
$97$	−11.9774	−	5.58514i	−1.21612	−	0.567085i	−0.921443	+	0.388513i	$0.872989\pi$
$98$	−1.55177	+	1.08656i	−0.156752	+	0.109759i
$99$	−15.2555	+	3.85866i	−1.53324	+	0.387810i
$100$	−4.85964	−	1.17640i	−0.485964	−	0.117640i
$101$	−2.30532	+	0.406489i	−0.229387	+	0.0404472i	−0.287160	−	0.957883i	$-0.592711\pi$
$101$	−2.30532	+	0.406489i	−0.229387	+	0.0404472i	0.0577728	+	0.998330i	$0.481600\pi$
$102$	−1.63189	+	3.08175i	−0.161582	+	0.305139i
$103$	−0.604862	−	2.25738i	−0.0595989	−	0.222426i	0.929703	−	0.368311i	$-0.120064\pi$
$103$	−0.604862	−	2.25738i	−0.0595989	−	0.222426i	−0.989302	+	0.145885i	$0.953397\pi$
$104$	−5.91897	−	2.15433i	−0.580403	−	0.211249i
$105$	−10.4432	+	4.93498i	−1.01916	+	0.481604i
$106$	5.31180	−	9.20031i	0.515928	−	0.893613i
$107$	10.1828	+	2.72847i	0.984407	+	0.263771i	0.714900	−	0.699227i	$-0.246472\pi$
$107$	10.1828	+	2.72847i	0.984407	+	0.263771i	0.269508	+	0.962998i	$0.413139\pi$
$108$	1.45766	+	4.98751i	0.140263	+	0.479923i
$109$	−3.14952	+	3.75346i	−0.301670	+	0.359516i	−0.895490	−	0.445082i	$-0.853175\pi$
$109$	−3.14952	+	3.75346i	−0.301670	+	0.359516i	0.593820	+	0.804598i	$0.297619\pi$
$110$	−7.02653	+	9.39118i	−0.669954	+	0.895414i
$111$	−3.70709	+	8.77471i	−0.351861	+	0.832859i
$112$	2.70292	+	1.26039i	0.255402	+	0.119096i
$113$	−6.59570	−	6.59570i	−0.620472	−	0.620472i	0.325180	−	0.945652i	$-0.394575\pi$
$113$	−6.59570	−	6.59570i	−0.620472	−	0.620472i	−0.945652	+	0.325180i	$0.894575\pi$
$114$	5.85987	+	4.76046i	0.548827	+	0.445858i
$115$	7.36288	−	1.72640i	0.686592	−	0.160988i
$116$	−1.51045	−	4.14994i	−0.140242	−	0.385312i
$117$	−18.6537	+	3.01938i	−1.72454	+	0.279142i
$118$	−0.389004	+	4.44633i	−0.0358107	+	0.409318i
$119$	4.59962	+	3.85954i	0.421647	+	0.353804i
$120$	3.18389	+	2.20519i	0.290648	+	0.201305i
$121$	8.25664	+	14.3009i	0.750603	+	1.30008i
$122$	2.95522	+	11.0290i	0.267553	+	0.998521i
$123$	−3.27445	−	15.2776i	−0.295247	−	1.37753i
$124$	−1.18102	+	3.24482i	−0.106058	+	0.291393i
$125$	−6.47849	+	9.11203i	−0.579454	+	0.815005i
$126$	8.92306	−	0.654396i	0.794929	−	0.0582983i
$127$	5.77456	−	8.24692i	0.512409	−	0.731796i	−0.476686	−	0.879074i	$-0.658162\pi$
$127$	5.77456	−	8.24692i	0.512409	−	0.731796i	0.989095	+	0.147277i	$0.0470510\pi$
$128$	−0.0871557	−	0.996195i	−0.00770355	−	0.0880520i
$129$	−4.55365	−	8.89969i	−0.400927	−	0.783574i
$130$	−9.38860	+	10.4991i	−0.823435	+	0.920831i
$131$	6.58150	+	18.0825i	0.575028	+	1.57988i	0.796454	+	0.604699i	$0.206707\pi$
$131$	6.58150	+	18.0825i	0.575028	+	1.57988i	−0.221426	+	0.975177i	$0.571071\pi$
$132$	7.69646	−	4.82746i	0.669891	−	0.420176i
$133$	10.1293	−	8.14797i	0.878325	−	0.706518i
$134$	−9.57092			−0.826802
$135$	11.5652	+	1.11613i	0.995375	+	0.0960612i
$136$	0.349608	−	1.98272i	0.0299786	−	0.170017i
$137$	−0.294698	+	3.36841i	−0.0251777	+	0.287783i	0.973159	+	0.230133i	$0.0739162\pi$
$137$	−0.294698	+	3.36841i	−0.0251777	+	0.287783i	−0.998337	+	0.0576496i	$0.981639\pi$
$138$	−5.80231	−	0.805424i	−0.493925	−	0.0685623i
$139$	−5.82449	+	1.02701i	−0.494027	+	0.0871102i	−0.415111	−	0.909771i	$-0.636257\pi$
$139$	−5.82449	+	1.02701i	−0.494027	+	0.0871102i	−0.0789163	+	0.996881i	$0.525146\pi$
$140$	4.86161	−	4.56471i	0.410881	−	0.385788i
$141$	11.9255	+	11.0830i	1.00431	+	0.933354i
$142$	−0.820494	−	1.75955i	−0.0688543	−	0.147659i
$143$	13.9630	+	29.9438i	1.16765	+	2.50403i
$144$	−1.68601	−	2.48141i	−0.140501	−	0.206784i
$145$	−9.87019	−	0.310881i	−0.819675	−	0.0258172i
$146$	−13.0787	+	2.30613i	−1.08240	+	0.190857i
$147$	0.451131	−	3.24996i	0.0372086	−	0.268052i
$148$	0.479325	−	5.47871i	0.0394003	−	0.450347i
$149$	1.52277	−	8.63608i	0.124750	−	0.707495i	−0.856705	−	0.515806i	$-0.827492\pi$
$149$	1.52277	−	8.63608i	0.124750	−	0.707495i	0.981456	−	0.191689i	$-0.0613964\pi$
$150$	7.22257	−	4.77854i	0.589720	−	0.390166i
$151$	3.43774			0.279759			0.139880	−	0.990169i	$-0.455328\pi$
$151$	3.43774			0.279759			0.139880	+	0.990169i	$0.455328\pi$
$152$	−4.06426	−	1.57537i	−0.329655	−	0.127779i
$153$	−1.98578	−	5.70416i	−0.160541	−	0.461154i
$154$	−5.35032	−	14.6999i	−0.431141	−	1.18455i
$155$	5.75566	+	5.14689i	0.462306	+	0.413408i
$156$	9.71238	−	4.96948i	0.777613	−	0.397877i
$157$	−1.32588	−	15.1548i	−0.105816	−	1.20949i	−0.844545	−	0.535485i	$-0.820129\pi$
$157$	−1.32588	−	15.1548i	−0.105816	−	1.20949i	0.738729	−	0.674003i	$-0.235427\pi$
$158$	4.05176	−	5.78652i	0.322341	−	0.460351i
$159$	5.40967	+	17.5874i	0.429015	+	1.39477i
$160$	−2.14059	−	0.646446i	−0.169228	−	0.0511060i
$161$	−3.44980	+	9.47824i	−0.271882	+	0.746990i
$162$	−8.04660	−	4.03140i	−0.632201	−	0.316736i
$163$	1.29378	+	4.82847i	0.101337	+	0.378195i	0.997904	−	0.0647136i	$-0.0206134\pi$
$163$	1.29378	+	4.82847i	0.101337	+	0.378195i	−0.896567	+	0.442908i	$0.853947\pi$
$164$	4.51041	+	7.81227i	0.352204	+	0.610036i
$165$	−3.62998	−	19.9881i	−0.282594	−	1.55607i
$166$	−2.67251	−	2.24250i	−0.207427	−	0.174052i
$167$	1.27084	−	14.5258i	0.0983405	−	1.12404i	−0.773350	−	0.633980i	$-0.781420\pi$
$167$	1.27084	−	14.5258i	0.0983405	−	1.12404i	0.871690	−	0.490057i	$-0.163024\pi$
$168$	−4.78614	+	1.94318i	−0.369259	+	0.149919i
$169$	9.12350	+	25.0666i	0.701808	+	1.92820i
$170$	−3.82597	−	2.37257i	−0.293438	−	0.181968i
$171$	−12.9492	+	1.82159i	−0.990250	+	0.139301i
$172$	4.08126	+	4.08126i	0.311193	+	0.311193i
$173$	1.15563	+	0.538881i	0.0878613	+	0.0409704i	0.466052	−	0.884757i	$-0.345676\pi$
$173$	1.15563	+	0.538881i	0.0878613	+	0.0409704i	−0.378191	+	0.925728i	$0.623454\pi$
$174$	7.04619	+	2.97683i	0.534171	+	0.225673i
$175$	−5.43897	−	13.8844i	−0.411148	−	1.04956i
$176$	−3.37162	+	4.01814i	−0.254145	+	0.302879i
$177$	−5.18258	−	5.73624i	−0.389547	−	0.431162i
$178$	−8.80050	−	2.35809i	−0.659625	−	0.176746i
$179$	−2.67508	+	4.63337i	−0.199945	+	0.346314i	−0.948510	−	0.316747i	$-0.897410\pi$
$179$	−2.67508	+	4.63337i	−0.199945	+	0.346314i	0.748566	+	0.663061i	$0.230743\pi$
$180$	−6.55196	+	1.43939i	−0.488354	+	0.107286i
$181$	−15.1461	−	5.51273i	−1.12580	−	0.409758i	−0.289034	−	0.957319i	$-0.593334\pi$
$181$	−15.1461	−	5.51273i	−1.12580	−	0.409758i	−0.836766	+	0.547561i	$0.815556\pi$
$182$	−4.86199	−	18.1452i	−0.360395	−	1.34501i
$183$	−17.4775	−	9.25496i	−1.29198	−	0.684147i
$184$	3.33070	−	0.587293i	0.245543	−	0.0432958i
$185$	−10.9762	−	5.54547i	−0.806989	−	0.407711i
$186$	−2.72430	−	5.32439i	−0.199755	−	0.390403i
$187$	−8.65061	+	6.05722i	−0.632595	+	0.442948i
$188$	−8.51881	−	3.97239i	−0.621298	−	0.289716i
$189$	−9.69096	+	12.0927i	−0.704914	+	0.879613i
$190$	−6.64619	+	7.12939i	−0.482165	+	0.517220i
$191$			21.6744i			1.56830i	0.620569	+	0.784152i	$0.286902\pi$
$191$			21.6744i			1.56830i	−0.620569	+	0.784152i	$0.713098\pi$
$192$	1.36668	+	1.06404i	0.0986318	+	0.0767904i
$193$	3.22893	+	4.61139i	0.232423	+	0.331935i	0.918374	−	0.395713i	$-0.129502\pi$
$193$	3.22893	+	4.61139i	0.232423	+	0.331935i	−0.685951	+	0.727648i	$0.740614\pi$
$194$	−10.1237	+	8.49480i	−0.726840	+	0.609891i
$195$	−2.25051	−	24.2913i	−0.161162	−	1.73953i
$196$	0.328952	+	1.86558i	0.0234966	+	0.133256i
$197$	−13.6769	−	3.66471i	−0.974438	−	0.261100i	−0.263738	−	0.964594i	$-0.584955\pi$
$197$	−13.6769	−	3.66471i	−0.974438	−	0.261100i	−0.710701	+	0.703494i	$0.751622\pi$
$198$	−2.95012	+	15.4569i	−0.209656	+	1.09848i
$199$	−1.09449	+	3.00709i	−0.0775864	+	0.213167i	−0.972422	−	0.233230i	$-0.925071\pi$
$199$	−1.09449	+	3.00709i	−0.0775864	+	0.213167i	0.894835	+	0.446396i	$0.147293\pi$
$200$	−3.11995	+	3.90716i	−0.220614	+	0.276278i
$201$	11.2851	−	12.1431i	0.795991	−	0.856505i
$202$	−0.605864	+	2.26112i	−0.0426284	+	0.159092i
$203$	7.55448	−	10.7889i	0.530220	−	0.757233i
$204$	2.10335	+	2.78140i	0.147264	+	0.194737i
$205$	19.9652	−	2.87558i	1.39443	−	0.200840i
$206$	−2.30150	−	0.405817i	−0.160353	−	0.0282746i
$207$	7.86341	−	6.41196i	0.546545	−	0.445662i
$208$	−4.45395	+	4.45395i	−0.308826	+	0.308826i
$209$	9.23130	+	20.9173i	0.638542	+	1.44688i
$210$	0.0591012	+	11.5504i	0.00407837	+	0.797054i
$211$	−6.54194	+	2.38107i	−0.450366	+	0.163920i	−0.557238	−	0.830353i	$-0.688139\pi$
$211$	−6.54194	+	2.38107i	−0.450366	+	0.163920i	0.106872	+	0.994273i	$0.465916\pi$
$212$	−6.09345	−	8.70234i	−0.418500	−	0.597679i
$213$	3.19987	+	1.03370i	0.219252	+	0.0708281i
$214$	6.77626	−	8.07564i	0.463216	−	0.552039i
$215$	11.8628	−	5.08341i	0.809036	−	0.346686i
$216$	5.13625	+	0.786723i	0.349478	+	0.0535297i
$217$	−9.94730	+	2.66537i	−0.675267	+	0.180937i
$218$	2.07074	+	4.44072i	0.140248	+	0.300763i
$219$	12.4953	−	19.3127i	0.844354	−	1.30503i
$220$	5.54176	+	10.3371i	0.373625	+	0.696926i
$221$	−10.9825	+	6.34076i	−0.738764	+	0.426526i
$222$	6.38591	+	7.06812i	0.428594	+	0.474381i
$223$	11.2959	−	0.988260i	0.756427	−	0.0661788i	0.297583	−	0.954696i	$-0.403819\pi$
$223$	11.2959	−	0.988260i	0.756427	−	0.0661788i	0.458844	+	0.888517i	$0.348264\pi$
$224$	2.28461	−	1.91701i	0.152647	−	0.128086i
$225$	−2.45342	+	14.7980i	−0.163561	+	0.986533i
$226$	−8.76520	+	3.19027i	−0.583053	+	0.212214i
$227$	6.24355	−	6.24355i	0.414399	−	0.414399i	−0.468869	−	0.883268i	$-0.655338\pi$
$227$	6.24355	−	6.24355i	0.414399	−	0.414399i	0.883268	+	0.468869i	$0.155338\pi$
$228$	6.79093	−	3.29899i	0.449740	−	0.218481i
$229$		−	9.89106i		−	0.653620i	−0.945090	−	0.326810i	$-0.894026\pi$
$229$		−	9.89106i		−	0.653620i	0.945090	−	0.326810i	$-0.105974\pi$
$230$	1.54704	−	7.40264i	0.102009	−	0.488116i
$231$	24.9590	+	10.5445i	1.64218	+	0.693779i
$232$	−4.39947	−	0.384903i	−0.288839	−	0.0252701i
$233$	−1.18431	−	13.5367i	−0.0775865	−	0.886817i	−0.930865	−	0.365363i	$-0.880945\pi$
$233$	−1.18431	−	13.5367i	−0.0775865	−	0.886817i	0.853279	−	0.521455i	$-0.174611\pi$
$234$	−5.14691	+	18.1821i	−0.336464	+	1.18860i
$235$	−15.3224	+	14.3866i	−0.999521	+	0.938480i
$236$	3.86535	+	2.23166i	0.251613	+	0.145269i
$237$	2.56416	+	11.9636i	0.166560	+	0.777117i
$238$	5.44182	−	2.53756i	0.352741	−	0.164486i
$239$	7.13591	−	12.3598i	0.461583	−	0.799486i	−0.537457	−	0.843291i	$-0.680615\pi$
$239$	7.13591	−	12.3598i	0.461583	−	0.799486i	0.999040	+	0.0438055i	$0.0139482\pi$
$240$	3.34415	−	1.95363i	0.215864	−	0.126106i
$241$	2.30887	+	13.0942i	0.148727	+	0.843475i	0.964298	+	0.264818i	$0.0853118\pi$
$241$	2.30887	+	13.0942i	0.148727	+	0.843475i	−0.815571	+	0.578657i	$0.803577\pi$
$242$	16.4504	−	1.43923i	1.05747	−	0.0925170i
$243$	14.6026	−	5.45564i	0.936757	−	0.349980i
$244$	11.2446	+	1.98273i	0.719863	+	0.126931i
$245$	4.14634	+	0.866521i	0.264900	+	0.0553600i
$246$	−15.2300	−	3.48892i	−0.971031	−	0.222445i
$247$	8.85400	+	25.9892i	0.563367	+	1.65365i
$248$	2.44168	+	2.44168i	0.155047	+	0.155047i
$249$	5.99633	−	0.746587i	0.380002	−	0.0473130i
$250$	5.52038	+	9.72242i	0.349139	+	0.614900i
$251$	−12.7462	−	15.1904i	−0.804534	−	0.958807i	0.195225	−	0.980759i	$-0.437456\pi$
$251$	−12.7462	−	15.1904i	−0.804534	−	0.958807i	−0.999759	+	0.0219517i	$0.993012\pi$
$252$	3.17796	−	8.36360i	0.200193	−	0.526857i
$253$	−14.5318	−	10.1753i	−0.913608	−	0.639715i
$254$	−5.03382	−	8.71883i	−0.315850	−	0.547068i
$255$	7.52140	−	2.05666i	0.471009	−	0.128793i
$256$	−0.939693	−	0.342020i	−0.0587308	−	0.0213763i
$257$	−3.30755	+	1.54234i	−0.206319	+	0.0962083i	−0.523031	−	0.852313i	$-0.675199\pi$
$257$	−3.30755	+	1.54234i	−0.206319	+	0.0962083i	0.316712	+	0.948522i	$0.397421\pi$
$258$	−9.99031	+	0.365842i	−0.621970	+	0.0227763i
$259$	14.2044	−	8.20090i	0.882617	−	0.509579i
$260$	5.54761	+	12.9461i	0.344048	+	0.802881i
$261$	−12.0850	+	5.42982i	−0.748045	+	0.336097i
$262$	19.1698	+	1.67714i	1.18431	+	0.103614i
$263$	7.32234	−	5.12716i	0.451515	−	0.316154i	−0.325606	−	0.945506i	$-0.605568\pi$
$263$	7.32234	−	5.12716i	0.451515	−	0.316154i	0.777121	+	0.629351i	$0.216679\pi$
$264$	−1.12250	−	9.01553i	−0.0690850	−	0.554868i
$265$	−23.1278	+	5.42286i	−1.42073	+	0.333124i
$266$	−3.10372	−	12.6238i	−0.190302	−	0.774013i
$267$	13.3685	−	8.38515i	0.818140	−	0.513163i
$268$	−4.04485	+	8.67420i	−0.247078	+	0.529861i
$269$	−1.30023	+	7.37396i	−0.0792763	+	0.449598i	0.919169	+	0.393863i	$0.128861\pi$
$269$	−1.30023	+	7.37396i	−0.0792763	+	0.449598i	−0.998446	+	0.0557354i	$0.982250\pi$
$270$	5.89923	−	10.0099i	0.359016	−	0.609186i
$271$	−2.96649	−	2.48918i	−0.180202	−	0.151207i	0.548225	−	0.836331i	$-0.315304\pi$
$271$	−2.96649	−	2.48918i	−0.180202	−	0.151207i	−0.728427	+	0.685124i	$0.759748\pi$
$272$	−1.64921	−	1.15479i	−0.0999979	−	0.0700193i
$273$	28.7544	+	15.2265i	1.74030	+	0.921547i
$274$	2.92827	+	1.69064i	0.176903	+	0.102135i
$275$	26.0635	−	2.91976i	1.57169	−	0.176068i
$276$	−3.18212	+	4.91829i	−0.191541	+	0.296046i
$277$	18.1472	−	4.86254i	1.09036	−	0.292162i	0.331528	−	0.943446i	$-0.392436\pi$
$277$	18.1472	−	4.86254i	1.09036	−	0.292162i	0.758834	+	0.651284i	$0.225769\pi$
$278$	−1.53074	+	5.71282i	−0.0918079	+	0.342632i
$279$	9.96752	+	2.82157i	0.596740	+	0.168923i
$280$	−2.08243	−	6.33524i	−0.124449	−	0.378603i
$281$	−10.8277	−	12.9040i	−0.645928	−	0.769787i	0.339366	−	0.940655i	$-0.389788\pi$
$281$	−10.8277	−	12.9040i	−0.645928	−	0.769787i	−0.985294	+	0.170867i	$0.945343\pi$
$282$	15.0845	−	6.12433i	0.898270	−	0.364699i
$283$	−9.71324	+	20.8301i	−0.577392	+	1.23822i	0.373191	+	0.927754i	$0.378263\pi$
$283$	−9.71324	+	20.8301i	−0.577392	+	1.23822i	−0.950584	+	0.310468i	$0.899514\pi$
$284$	−1.94145			−0.115204
$285$	−1.20882	−	16.8386i	−0.0716041	−	0.997433i
$286$	33.0393			1.95366
$287$	−11.3698	+	24.3826i	−0.671137	+	1.43926i
$288$	−2.96146	+	0.479356i	−0.174505	+	0.0282463i
$289$	8.32190	+	9.91765i	0.489523	+	0.583391i
$290$	−4.45308	+	8.81405i	−0.261494	+	0.517579i
$291$	1.15919	−	22.8607i	0.0679526	−	1.34012i
$292$	−3.43724	+	12.8280i	−0.201150	+	0.750700i
$293$	22.5939	−	6.05403i	1.31995	−	0.353680i	0.470992	−	0.882138i	$-0.343896\pi$
$293$	22.5939	−	6.05403i	1.31995	−	0.353680i	0.848960	+	0.528458i	$0.177229\pi$
$294$	−2.75481	−	1.78236i	−0.160664	−	0.103949i
$295$	7.84351	−	6.17134i	0.456667	−	0.359309i
$296$	−4.76283	−	2.74982i	−0.276834	−	0.159830i
$297$	−16.1324	−	21.9683i	−0.936095	−	1.27473i
$298$	−7.18339	−	5.02987i	−0.416123	−	0.291372i
$299$	−16.3192	−	13.6934i	−0.943763	−	0.791912i
$300$	−1.27844	−	8.56537i	−0.0738108	−	0.494522i
$301$	−2.98908	+	16.9519i	−0.172287	+	0.977091i
$302$	1.45285	−	3.11565i	0.0836022	−	0.179285i
$303$	−2.15440	−	3.43478i	−0.123767	−	0.197323i
$304$	−3.14540	+	3.01769i	−0.180401	+	0.173077i
$305$	13.4556	−	21.6982i	0.770464	−	1.24243i
$306$	−6.00896	−	0.610958i	−0.343509	−	0.0349261i
$307$	2.56772	−	1.79793i	0.146547	−	0.102614i	−0.498003	−	0.867175i	$-0.665933\pi$
$307$	2.56772	−	1.79793i	0.146547	−	0.102614i	0.644551	+	0.764562i	$0.277044\pi$
$308$	−15.5838	−	1.36340i	−0.887968	−	0.0776871i
$309$	3.22859	−	2.44152i	0.183668	−	0.138893i
$310$	7.09711	−	3.04123i	0.403089	−	0.172730i
$311$	4.79978	−	2.77115i	0.272171	−	0.157138i	−0.357703	−	0.933835i	$-0.616440\pi$
$311$	4.79978	−	2.77115i	0.272171	−	0.157138i	0.629874	+	0.776698i	$0.283107\pi$
$312$	−0.399249	−	10.9026i	−0.0226030	−	0.617238i
$313$	30.4975	−	14.2212i	1.72382	−	0.803832i	0.731260	−	0.682099i	$-0.238933\pi$
$313$	30.4975	−	14.2212i	1.72382	−	0.803832i	0.992563	−	0.121733i	$-0.0388452\pi$
$314$	−14.2953	−	5.20306i	−0.806730	−	0.293626i
$315$	−14.7242	−	13.5442i	−0.829615	−	0.763127i
$316$	−3.53202	−	6.11763i	−0.198691	−	0.344144i
$317$	−1.93373	−	1.35401i	−0.108609	−	0.0760490i	0.518010	−	0.855375i	$-0.326673\pi$
$317$	−1.93373	−	1.35401i	−0.108609	−	0.0760490i	−0.626619	+	0.779326i	$0.715562\pi$
$318$	18.2259	+	2.52995i	1.02206	+	0.141873i
$319$	14.8900	+	17.7452i	0.833679	+	0.993540i
$320$	−1.49053	+	1.66683i	−0.0833231	+	0.0931786i
$321$	2.25599	+	18.1194i	0.125917	+	1.01132i
$322$	7.13225	+	7.13225i	0.397465	+	0.397465i
$323$	−7.68935	+	4.22952i	−0.427847	+	0.235337i
$324$	−7.05433	+	5.58896i	−0.391907	+	0.310498i
$325$	31.4849	−	0.765025i	1.74647	−	0.0424360i
$326$	4.92285	+	0.868032i	0.272652	+	0.0480758i
$327$	−8.07576	−	2.60883i	−0.446590	−	0.144269i
$328$	8.98650	−	0.786217i	0.496197	−	0.0434116i
$329$	−4.86778	−	27.6065i	−0.268369	−	1.52200i
$330$	−19.6494	−	5.15743i	−1.08167	−	0.283907i
$331$	−4.03310	+	6.98554i	−0.221679	+	0.383960i	−0.955318	−	0.295580i	$-0.904487\pi$
$331$	−4.03310	+	6.98554i	−0.221679	+	0.383960i	0.733639	+	0.679540i	$0.237820\pi$
$332$	−3.16185	+	1.47439i	−0.173529	+	0.0809179i
$333$	−16.4973	−	0.231965i	−0.904046	−	0.0127116i
$334$	−12.6277	−	7.29062i	−0.690958	−	0.398925i
$335$	14.6491	+	15.6019i	0.800363	+	0.852421i
$336$	−0.261592	+	5.15894i	−0.0142710	+	0.281443i
$337$	−1.21997	−	13.9443i	−0.0664558	−	0.759594i	−0.954183	−	0.299224i	$-0.903272\pi$
$337$	−1.21997	−	13.9443i	−0.0664558	−	0.759594i	0.887727	−	0.460370i	$-0.152283\pi$
$338$	26.5738	+	2.32491i	1.44543	+	0.126458i
$339$	6.28745	−	14.8825i	0.341488	−	0.808305i
$340$	−3.76720	+	2.46481i	−0.204305	+	0.133673i
$341$		−	18.1124i		−	0.980840i
$342$	−3.82164	+	12.5058i	−0.206651	+	0.676236i
$343$	10.7669	−	10.7669i	0.581361	−	0.581361i
$344$	5.42369	−	1.97406i	0.292426	−	0.106434i
$345$	7.56794	+	10.6913i	0.407444	+	0.575600i
$346$	0.976785	−	0.819620i	0.0525123	−	0.0440630i
$347$	−0.935054	+	0.0818066i	−0.0501963	+	0.00439161i	−0.112226	−	0.993683i	$-0.535798\pi$
$347$	−0.935054	+	0.0818066i	−0.0501963	+	0.00439161i	0.0620299	+	0.998074i	$0.480243\pi$
$348$	5.67578	−	5.12796i	0.304254	−	0.274887i
$349$	−7.28582	+	4.20647i	−0.390001	+	0.225167i	−0.682161	−	0.731202i	$-0.738959\pi$
$349$	−7.28582	+	4.20647i	−0.390001	+	0.225167i	0.292160	+	0.956370i	$0.405626\pi$
$350$	−14.8821	−	0.938415i	−0.795484	−	0.0501604i
$351$	−16.9996	−	27.9687i	−0.907373	−	1.49286i
$352$	2.21676	+	4.75386i	0.118154	+	0.253382i
$353$	−11.9516	+	3.20242i	−0.636119	+	0.170447i	−0.562445	−	0.826835i	$-0.690139\pi$
$353$	−11.9516	+	3.20242i	−0.636119	+	0.170447i	−0.0736740	+	0.997282i	$0.523472\pi$
$354$	−7.38905	+	2.27278i	−0.392724	+	0.120797i
$355$	−1.61248	+	4.03065i	−0.0855813	+	0.213925i
$356$	−5.85641	+	6.97939i	−0.310389	+	0.369907i
$357$	−3.19696	+	9.89633i	−0.169201	+	0.523769i
$358$	3.06872	+	4.38259i	0.162187	+	0.231627i
$359$	20.5893	−	7.49391i	1.08666	−	0.395513i	0.264280	−	0.964446i	$-0.414866\pi$
$359$	20.5893	−	7.49391i	1.08666	−	0.395513i	0.822384	+	0.568933i	$0.192644\pi$
$360$	−1.46445	+	6.54640i	−0.0771832	+	0.345026i
$361$	5.75322	+	18.1080i	0.302801	+	0.953054i
$362$	−11.3972	+	11.3972i	−0.599026	+	0.599026i
$363$	−17.5708	+	22.5684i	−0.922227	+	1.18453i
$364$	−18.4999	−	3.26203i	−0.969658	−	0.170977i
$365$	23.7773	+	17.7903i	1.24456	+	0.931189i
$366$	−15.7742	+	11.9287i	−0.824529	+	0.623523i
$367$	−1.97843	+	2.82549i	−0.103273	+	0.147489i	−0.867462	−	0.497503i	$-0.834250\pi$
$367$	−1.97843	+	2.82549i	−0.103273	+	0.147489i	0.764189	+	0.644992i	$0.223139\pi$
$368$	0.875348	−	3.26684i	0.0456307	−	0.170296i
$369$	22.3843	−	15.2092i	1.16528	−	0.791759i
$370$	−9.66466	+	7.60424i	−0.502442	+	0.395325i
$371$	10.8363	−	29.7725i	0.562592	−	1.54571i
$372$	−5.97687	+	0.218871i	−0.309886	+	0.0113479i
$373$	−30.8790	−	8.27400i	−1.59885	−	0.428411i	−0.654157	−	0.756359i	$-0.726977\pi$
$373$	−30.8790	−	8.27400i	−1.59885	−	0.428411i	−0.944696	+	0.327947i	$0.893643\pi$
$374$	1.83380	+	10.4000i	0.0948236	+	0.537771i
$375$	−18.8444	−	4.45980i	−0.973119	−	0.230303i
$376$	−7.20041	+	6.04186i	−0.371333	+	0.311585i
$377$	15.9554	+	22.7867i	0.821744	+	1.17357i
$378$	6.86411	+	13.8936i	0.353052	+	0.714609i
$379$		−	11.3542i		−	0.583228i	−0.956536	−	0.291614i	$-0.905808\pi$
$379$		−	11.3542i		−	0.583228i	0.956536	−	0.291614i	$-0.0941922\pi$
$380$	3.65262	+	9.03650i	0.187375	+	0.463563i
$381$	16.9974	+	3.89378i	0.870801	+	0.199485i
$382$	19.6437	+	9.15999i	1.00506	+	0.468666i
$383$	−0.526180	+	0.368435i	−0.0268865	+	0.0188262i	−0.586942	−	0.809629i	$-0.699669\pi$
$383$	−0.526180	+	0.368435i	−0.0268865	+	0.0188262i	0.560056	+	0.828455i	$0.310780\pi$
$384$	1.54193	−	0.788952i	0.0786864	−	0.0402610i
$385$	−15.7737	+	31.2211i	−0.803901	+	1.59117i
$386$	5.54394	−	0.977546i	0.282179	−	0.0497558i
$387$	11.3155	−	13.1065i	0.575197	−	0.666242i
$388$	3.42044	+	12.7653i	0.173647	+	0.648058i
$389$	−4.84457	−	1.76328i	−0.245629	−	0.0894018i	0.216272	−	0.976333i	$-0.430610\pi$
$389$	−4.84457	−	1.76328i	−0.245629	−	0.0894018i	−0.461901	+	0.886931i	$0.652833\pi$
$390$	−22.9665	−	8.22627i	−1.16295	−	0.416554i
$391$	3.40459	−	5.89693i	0.172178	−	0.298221i
$392$	1.82981	+	0.490296i	0.0924194	+	0.0247637i
$393$	−24.7310	+	22.3440i	−1.24752	+	1.12711i
$394$	−9.10146	+	10.8467i	−0.458525	+	0.546449i
$395$	−15.6343	+	2.25181i	−0.786648	+	0.113301i
$396$	12.7619	+	9.20609i	0.641312	+	0.462624i
$397$	−32.9781	−	15.3779i	−1.65512	−	0.771797i	−0.999866	−	0.0163919i	$-0.994782\pi$
$397$	−32.9781	−	15.3779i	−1.65512	−	0.771797i	−0.655258	−	0.755405i	$-0.727440\pi$
$398$	2.26280	+	2.26280i	0.113424	+	0.113424i
$399$	19.6760	+	10.9469i	0.985030	+	0.548032i
$400$	2.22254	+	4.47887i	0.111127	+	0.223944i
$401$	6.98171	+	19.1821i	0.348650	+	0.957908i	0.982796	+	0.184695i	$0.0591296\pi$
$401$	6.98171	+	19.1821i	0.348650	+	0.957908i	−0.634146	+	0.773213i	$0.718648\pi$
$402$	−6.23605	−	15.3597i	−0.311026	−	0.766071i
$403$	1.89566	−	21.6675i	0.0944296	−	1.07933i
$404$	1.79322	+	1.50469i	0.0892159	+	0.0748610i
$405$	5.74426	+	19.2874i	0.285434	+	0.958398i
$406$	−6.58541	−	11.4063i	−0.326829	−	0.566084i
$407$	7.46623	+	27.8644i	0.370087	+	1.38119i
$408$	3.40972	−	0.730807i	0.168806	−	0.0361804i
$409$	−2.33415	+	6.41301i	−0.115416	+	0.317103i	−0.983928	−	0.178565i	$-0.942855\pi$
$409$	−2.33415	+	6.41301i	−0.115416	+	0.317103i	0.868512	+	0.495668i	$0.165077\pi$
$410$	5.83148	−	19.3099i	0.287996	−	0.953646i
$411$	−5.59773	+	1.72179i	−0.276116	+	0.0849296i
$412$	−1.34045	+	1.91437i	−0.0660394	+	0.0943140i
$413$	1.16014	+	13.2605i	0.0570869	+	0.652506i
$414$	−2.48799	−	9.83648i	−0.122278	−	0.483437i
$415$	0.434914	+	7.78887i	0.0213491	+	0.382341i
$416$	2.15433	+	5.91897i	0.105625	+	0.290201i
$417$	−5.44319	−	8.67813i	−0.266554	−	0.424970i
$418$	22.8589	+	0.473652i	1.11806	+	0.0231671i
$419$	6.76793			0.330635			0.165318	−	0.986240i	$-0.447135\pi$
$419$	6.76793			0.330635			0.165318	+	0.986240i	$0.447135\pi$
$420$	10.4932	+	4.82785i	0.512016	+	0.235575i
$421$	0.526979	−	2.98865i	0.0256834	−	0.145658i	−0.969269	−	0.246002i	$-0.920883\pi$
$421$	0.526979	−	2.98865i	0.0256834	−	0.145658i	0.994953	+	0.100344i	$0.0319943\pi$
$422$	−0.606759	+	6.93529i	−0.0295366	+	0.337605i
$423$	−10.0160	+	26.3596i	−0.486995	+	1.28165i
$424$	−10.4622	+	1.84477i	−0.508090	+	0.0895899i
$425$	1.98834	+	9.86824i	0.0964484	+	0.478680i
$426$	2.28918	−	2.46321i	0.110911	−	0.119343i
$427$	14.3913	+	30.8622i	0.696442	+	1.49353i
$428$	−4.45524	−	9.55429i	−0.215352	−	0.461824i
$429$	−38.9569	+	41.9185i	−1.88085	+	2.02384i
$430$	0.406301	−	12.8997i	0.0195936	−	0.622078i
$431$	−39.1867	+	6.90968i	−1.88756	+	0.332828i	−0.993379	−	0.114881i	$-0.963351\pi$
$431$	−39.1867	+	6.90968i	−1.88756	+	0.332828i	−0.894179	+	0.447709i	$0.852240\pi$
$432$	2.88369	−	4.32254i	0.138741	−	0.207968i
$433$	1.12085	−	12.8114i	0.0538645	−	0.615674i	−0.920506	−	0.390727i	$-0.872224\pi$
$433$	1.12085	−	12.8114i	0.0538645	−	0.615674i	0.974371	−	0.224947i	$-0.0722209\pi$
$434$	−1.78826	+	10.1418i	−0.0858394	+	0.486820i
$435$	−5.93213	−	16.0425i	−0.284424	−	0.769179i
$436$	4.89979			0.234657
$437$	−11.0944	−	9.70800i	−0.530718	−	0.464397i
$438$	−12.2225	−	19.4865i	−0.584016	−	0.931101i
$439$	−0.696102	−	1.91253i	−0.0332232	−	0.0912799i	0.921972	−	0.387256i	$-0.126577\pi$
$439$	−0.696102	−	1.91253i	−0.0332232	−	0.0912799i	−0.955195	+	0.295977i	$0.904355\pi$
$440$	11.7106	−	0.653896i	0.558282	−	0.0311733i
$441$	5.50957	−	1.39356i	0.262360	−	0.0663602i
$442$	1.10527	+	12.6333i	0.0525722	+	0.600903i
$443$	20.9141	−	29.8684i	0.993659	−	1.41909i	0.0874952	−	0.996165i	$-0.472114\pi$
$443$	20.9141	−	29.8684i	0.993659	−	1.41909i	0.906164	−	0.422927i	$-0.138997\pi$
$444$	9.10469	−	2.80048i	0.432089	−	0.132905i
$445$	9.62587	+	17.9552i	0.456310	+	0.851159i
$446$	3.87817	−	10.6552i	0.183637	−	0.504538i
$447$	14.8516	−	3.18315i	0.702456	−	0.150558i
$448$	−0.771887	−	2.88072i	−0.0364682	−	0.136101i
$449$	−14.9035	−	25.8136i	−0.703338	−	1.21822i	−0.967288	−	0.253681i	$-0.918359\pi$
$449$	−14.9035	−	25.8136i	−0.703338	−	1.21822i	0.263950	−	0.964536i	$-0.414975\pi$
$450$	12.3747	+	8.47746i	0.583348	+	0.399631i
$451$	−36.2470	−	30.4148i	−1.70680	−	1.43218i
$452$	−0.812966	+	9.29224i	−0.0382387	+	0.437070i
$453$	2.23990	+	5.51697i	0.105240	+	0.259210i
$454$	−3.01994	−	8.29722i	−0.141733	−	0.389408i
$455$	−22.1374	+	35.6983i	−1.03782	+	1.67356i
$456$	−0.119928	−	7.54888i	−0.00561615	−	0.353509i
$457$	−7.39630	−	7.39630i	−0.345984	−	0.345984i	0.512627	−	0.858611i	$-0.328672\pi$
$457$	−7.39630	−	7.39630i	−0.345984	−	0.345984i	−0.858611	+	0.512627i	$0.828672\pi$
$458$	−8.96434	−	4.18014i	−0.418876	−	0.195325i
$459$	7.86034	−	6.90344i	0.366889	−	0.322225i
$460$	−6.05527	−	4.53059i	−0.282328	−	0.211240i
$461$	13.7098	−	16.3386i	0.638527	−	0.760967i	−0.345610	−	0.938378i	$-0.612328\pi$
$461$	13.7098	−	16.3386i	0.638527	−	0.760967i	0.984137	+	0.177412i	$0.0567724\pi$
$462$	20.1047	−	18.1642i	0.935356	−	0.845076i
$463$	−8.49534	−	2.27632i	−0.394812	−	0.105789i	0.0559505	−	0.998434i	$-0.482181\pi$
$463$	−8.49534	−	2.27632i	−0.394812	−	0.105789i	−0.450762	+	0.892644i	$0.648848\pi$
$464$	−2.20814	+	3.82460i	−0.102510	+	0.177553i
$465$	−4.50969	+	12.5904i	−0.209132	+	0.583864i
$466$	−12.7689	−	4.64750i	−0.591508	−	0.215291i
$467$	3.02788	+	11.3002i	0.140113	+	0.522910i	0.999924	+	0.0122978i	$0.00391461\pi$
$467$	3.02788	+	11.3002i	0.140113	+	0.522910i	−0.859811	+	0.510612i	$0.829419\pi$
$468$	14.3034	+	12.3488i	0.661173	+	0.570822i
$469$	−28.1101	+	4.95657i	−1.29800	+	0.228873i
$470$	6.56320	+	19.9668i	0.302738	+	0.921002i
$471$	23.4570	−	12.0021i	1.08084	−	0.553028i
$472$	3.65614	−	2.56005i	0.168287	−	0.117836i
$473$	−27.4382	−	12.7947i	−1.26161	−	0.588299i
$474$	11.9263	+	2.73210i	0.547794	+	0.125490i
$475$	21.7944	−	0.0779288i	0.999994	−	0.00357562i
$476$		−	6.00438i		−	0.275210i
$477$	−24.7001	+	20.1409i	−1.13094	+	0.922187i
$478$	−8.18597	−	11.6908i	−0.374418	−	0.534724i
$479$	12.2537	−	10.2821i	0.559887	−	0.469801i	−0.318386	−	0.947961i	$-0.603141\pi$
$479$	12.2537	−	10.2821i	0.559887	−	0.469801i	0.878272	+	0.478161i	$0.158696\pi$
$480$	−0.357290	−	3.85647i	−0.0163080	−	0.176023i
$481$	6.01540	+	34.1150i	0.274279	+	1.55551i
$482$	12.8432	+	3.44132i	0.584991	+	0.156748i
$483$	−17.4587	+	0.639331i	−0.794397	+	0.0290906i
$484$	5.64787	−	15.5174i	0.256721	−	0.705336i
$485$	29.3428	+	3.50102i	1.33239	+	0.158973i
$486$	1.22683	−	15.5401i	0.0556503	−	0.704914i
$487$	2.80344	−	10.4626i	0.127036	−	0.474105i	−0.872868	−	0.487956i	$-0.837743\pi$
$487$	2.80344	−	10.4626i	0.127036	−	0.474105i	0.999904	+	0.0138515i	$0.00440921\pi$
$488$	6.54915	−	9.35315i	0.296466	−	0.423397i
$489$	−6.90587	+	5.22234i	−0.312294	+	0.236162i
$490$	2.53765	−	3.39165i	0.114639	−	0.153219i
$491$	−24.0307	−	4.23726i	−1.08449	−	0.191225i	−0.397290	−	0.917693i	$-0.630049\pi$
$491$	−24.0307	−	4.23726i	−1.08449	−	0.191225i	−0.687200	+	0.726468i	$0.741160\pi$
$492$	−9.59852	+	12.3286i	−0.432735	+	0.555816i
$493$	−6.28712	+	6.28712i	−0.283158	+	0.283158i
$494$	27.2961	+	2.95906i	1.22811	+	0.133134i
$495$	29.7122	−	18.8489i	1.33546	−	0.847197i
$496$	3.24482	−	1.18102i	0.145697	−	0.0530292i
$497$	−3.32105	−	4.74295i	−0.148970	−	0.212751i
$498$	1.85752	−	5.75004i	0.0832376	−	0.257666i
$499$	13.6561	−	16.2747i	0.611332	−	0.728558i	−0.368222	−	0.929738i	$-0.620033\pi$
$499$	13.6561	−	16.2747i	0.611332	−	0.728558i	0.979554	+	0.201180i	$0.0644777\pi$
$500$	11.1445	−	0.894290i	0.498398	−	0.0399939i
$501$	24.1393	−	7.42495i	1.07847	−	0.331722i
$502$	−19.1539	+	5.13228i	−0.854882	+	0.229065i
$503$	13.9731	+	29.9654i	0.623029	+	1.33609i	0.923976	+	0.382450i	$0.124920\pi$
$503$	13.9731	+	29.9654i	0.623029	+	1.33609i	−0.300947	+	0.953641i	$0.597303\pi$
$504$	−6.23693	−	6.41482i	−0.277815	−	0.285739i
$505$	4.61324	−	2.47318i	0.205286	−	0.110055i
$506$	−15.3634	+	8.87004i	−0.682985	+	0.394321i
$507$	−34.2830	+	30.9741i	−1.52256	+	1.37561i
$508$	−10.0293	+	0.877452i	−0.444979	+	0.0389306i
$509$	−24.7885	+	20.8000i	−1.09873	+	0.921945i	−0.997339	−	0.0729014i	$-0.976774\pi$
$509$	−24.7885	+	20.8000i	−1.09873	+	0.921945i	−0.101392	+	0.994847i	$0.532330\pi$
$510$	1.31472	−	7.68589i	0.0582166	−	0.340337i
$511$	−37.2184	+	13.5464i	−1.64644	+	0.599256i
$512$	−0.707107	+	0.707107i	−0.0312500	+	0.0312500i
$513$	−11.3605	−	19.5943i	−0.501580	−	0.865111i
$514$			3.64948i			0.160972i
$515$	2.86110	+	4.37289i	0.126075	+	0.192693i
$516$	−3.89052	+	9.20891i	−0.171271	+	0.405400i
$517$	49.1155	+	4.29705i	2.16010	+	0.188984i
$518$	−1.42951	−	16.3394i	−0.0628091	−	0.717911i
$519$	−0.111844	+	2.20571i	−0.00490940	+	0.0968198i
$520$	14.0776	+	0.443403i	0.617346	+	0.0194445i
$521$	−28.8289	−	16.6444i	−1.26302	−	0.729204i	−0.289361	−	0.957220i	$-0.593443\pi$
$521$	−28.8289	−	16.6444i	−1.26302	−	0.729204i	−0.973657	+	0.228016i	$0.926776\pi$
$522$	−0.186270	+	13.2475i	−0.00815283	+	0.579828i
$523$	−29.1596	+	13.5974i	−1.27506	+	0.594571i	−0.937910	−	0.346880i	$-0.887241\pi$
$523$	−29.1596	+	13.5974i	−1.27506	+	0.594571i	−0.337152	+	0.941450i	$0.609464\pi$
$524$	9.62151	−	16.6649i	0.420317	−	0.728011i
$525$	18.7382	−	17.7751i	0.817803	−	0.775771i
$526$	−1.55223	−	8.80313i	−0.0676804	−	0.383835i
$527$	6.92563	−	0.605914i	0.301685	−	0.0263940i
$528$	−8.64524	−	2.79280i	−0.376236	−	0.121541i
$529$	−11.3859	−	2.00763i	−0.495037	−	0.0872884i
$530$	−4.85946	+	23.2527i	−0.211082	+	1.01003i
$531$	5.82890	−	12.0547i	0.252953	−	0.523128i
$532$	−12.7527	−	2.52211i	−0.552900	−	0.109347i
$533$	−40.1783	−	40.1783i	−1.74032	−	1.74032i
$534$	−1.94975	−	15.6597i	−0.0843738	−	0.677662i
$535$	−23.5360	+	1.31420i	−1.01755	+	0.0568177i
$536$	6.15207	+	7.33175i	0.265729	+	0.316684i
$537$	−9.17873	−	1.27411i	−0.396091	−	0.0549818i
$538$	6.13358	+	4.29478i	0.264437	+	0.185161i
$539$	−4.96825	−	8.60526i	−0.213998	−	0.370655i
$540$	−6.57897	−	9.57691i	−0.283114	−	0.412124i
$541$	15.5421	+	5.65685i	0.668206	+	0.243207i	0.653775	−	0.756689i	$-0.273184\pi$
$541$	15.5421	+	5.65685i	0.668206	+	0.243207i	0.0144307	+	0.999896i	$0.495406\pi$
$542$	−3.50966	+	1.63658i	−0.150753	+	0.0702972i
$543$	−1.02164	−	27.8987i	−0.0438428	−	1.19725i
$544$	−1.74358	+	1.00666i	−0.0747553	+	0.0431600i
$545$	4.06952	−	10.1724i	0.174319	−	0.435740i
$546$	25.9520	−	19.6254i	1.11064	−	0.839888i
$547$	−13.4843	−	1.17972i	−0.576545	−	0.0504411i	−0.204846	−	0.978794i	$-0.565669\pi$
$547$	−13.4843	−	1.17972i	−0.576545	−	0.0504411i	−0.371699	+	0.928353i	$0.621225\pi$
$548$	2.76978	−	1.93942i	0.118319	−	0.0828480i
$549$	3.46492	−	34.0786i	0.147879	−	1.45444i
$550$	8.36871	−	24.8555i	0.356843	−	1.05984i
$551$	10.7124	+	15.9941i	0.456362	+	0.681371i
$552$	3.11266	+	4.96254i	0.132484	+	0.211220i
$553$	8.90345	−	19.0935i	0.378613	−	0.811939i
$554$	3.26240	−	18.5020i	0.138606	−	0.786074i
$555$	1.74782	−	21.2282i	0.0741909	−	0.901086i
$556$	4.53065	+	3.80167i	0.192142	+	0.161227i
$557$	9.96609	+	6.97833i	0.422277	+	0.295682i	0.765334	−	0.643633i	$-0.222574\pi$
$557$	9.96609	+	6.97833i	0.422277	+	0.295682i	−0.343057	+	0.939314i	$0.611463\pi$
$558$	6.76967	−	7.84119i	0.286583	−	0.331944i
$559$	−31.4848	−	18.1777i	−1.33166	−	0.768836i
$560$	−6.62175	−	0.790070i	−0.279820	−	0.0333866i
$561$	−15.3572	−	9.93607i	−0.648381	−	0.419501i
$562$	−16.2710	+	4.35980i	−0.686350	+	0.183907i
$563$	−8.06651	+	30.1046i	−0.339963	+	1.26876i	0.558425	+	0.829555i	$0.311406\pi$
$563$	−8.06651	+	30.1046i	−0.339963	+	1.26876i	−0.898388	+	0.439203i	$0.855261\pi$
$564$	0.824462	−	16.2595i	0.0347161	−	0.684647i
$565$	18.6164	+	9.40547i	0.783198	+	0.395691i
$566$	14.7735	+	17.6064i	0.620977	+	0.740051i
$567$	−25.7209	−	7.67318i	−1.08018	−	0.322243i
$568$	−0.820494	+	1.75955i	−0.0344272	+	0.0738293i
$569$	−0.279833			−0.0117312			−0.00586561	−	0.999983i	$-0.501867\pi$
$569$	−0.279833			−0.0117312			−0.00586561	+	0.999983i	$0.501867\pi$
$570$	−15.7718	−	6.02074i	−0.660609	−	0.252181i
$571$	20.1066			0.841434			0.420717	−	0.907192i	$-0.361779\pi$
$571$	20.1066			0.841434			0.420717	+	0.907192i	$0.361779\pi$
$572$	13.9630	−	29.9438i	0.583824	−	1.25201i
$573$	−34.7836	+	14.1222i	−1.45311	+	0.589963i
$574$	17.2930	+	20.6090i	0.721797	+	0.860205i
$575$	−14.4351	+	8.80845i	−0.601987	+	0.367338i
$576$	−0.817121	+	2.88657i	−0.0340467	+	0.120274i
$577$	−2.71584	+	10.1356i	−0.113062	+	0.421952i	−0.999135	−	0.0415937i	$-0.986756\pi$
$577$	−2.71584	+	10.1356i	−0.113062	+	0.421952i	0.886073	+	0.463546i	$0.153423\pi$
$578$	12.5054	−	3.35082i	0.520157	−	0.139376i
$579$	−5.29663	+	8.18647i	−0.220120	+	0.340218i
$580$	6.10629	+	7.76083i	0.253550	+	0.322251i
$581$	−9.01060	−	5.20227i	−0.373822	−	0.215827i
$582$	−20.2289	−	10.7119i	−0.838515	−	0.444023i
$583$	45.6465	+	31.9620i	1.89048	+	1.32373i
$584$	10.1734	+	8.53654i	0.420980	+	0.353244i
$585$	37.5169	−	19.4389i	1.55113	−	0.803701i
$586$	4.06180	−	23.0356i	0.167791	−	0.951592i
$587$	−10.2854	+	22.0572i	−0.424526	+	0.910398i	0.571438	+	0.820645i	$0.306386\pi$
$587$	−10.2854	+	22.0572i	−0.424526	+	0.910398i	−0.995964	+	0.0897533i	$0.971392\pi$
$588$	−2.77960	+	1.74345i	−0.114629	+	0.0718987i
$589$	1.62217	−	14.9639i	0.0668404	−	0.616576i
$590$	−2.27832	−	9.71675i	−0.0937969	−	0.400032i
$591$	−3.03011	−	24.3368i	−0.124642	−	1.00108i
$592$	−4.50504	+	3.15446i	−0.185156	+	0.129648i
$593$	1.21650	+	0.106430i	0.0499558	+	0.00437057i	0.112106	−	0.993696i	$-0.464240\pi$
$593$	1.21650	+	0.106430i	0.0499558	+	0.00437057i	−0.0621504	+	0.998067i	$0.519796\pi$
$594$	−26.7279	+	5.33670i	−1.09666	+	0.218967i
$595$	−12.4657	−	4.98694i	−0.511043	−	0.204445i
$596$	−7.59444	+	4.38465i	−0.311080	+	0.179602i
$597$	−5.53898	+	0.202836i	−0.226696	+	0.00830151i
$598$	−19.3073	+	9.00312i	−0.789532	+	0.368165i
$599$	−10.6955	−	3.89283i	−0.437004	−	0.159057i	0.114143	−	0.993464i	$-0.463588\pi$
$599$	−10.6955	−	3.89283i	−0.437004	−	0.159057i	−0.551148	+	0.834408i	$0.685810\pi$
$600$	−8.30316	−	2.46122i	−0.338975	−	0.100479i
$601$	−4.34754	−	7.53016i	−0.177340	−	0.307162i	0.763629	−	0.645656i	$-0.223416\pi$
$601$	−4.34754	−	7.53016i	−0.177340	−	0.307162i	−0.940969	+	0.338494i	$0.890082\pi$
$602$	14.1004	+	9.87320i	0.574689	+	0.402402i
$603$	26.8404	+	10.1987i	1.09303	+	0.415324i
$604$	−2.20973	−	2.63346i	−0.0899128	−	0.107154i
$605$	−27.5248	−	24.6135i	−1.11904	−	1.00068i
$606$	−4.02345	+	0.500949i	−0.163442	+	0.0203497i
$607$	−2.28976	−	2.28976i	−0.0929387	−	0.0929387i	0.659109	−	0.752048i	$-0.270934\pi$
$607$	−2.28976	−	2.28976i	−0.0929387	−	0.0929387i	−0.752048	+	0.659109i	$0.770934\pi$
$608$	1.40566	+	4.12603i	0.0570069	+	0.167333i
$609$	22.2365	+	5.09398i	0.901070	+	0.206419i
$610$	−13.9787	−	21.3649i	−0.565980	−	0.865041i
$611$	58.3063	+	10.2810i	2.35882	+	0.415923i
$612$	−3.09321	+	5.18776i	−0.125036	+	0.209703i
$613$	12.4695	−	1.09094i	0.503637	−	0.0440626i	0.167493	−	0.985873i	$-0.446433\pi$
$613$	12.4695	−	1.09094i	0.503637	−	0.0440626i	0.336144	+	0.941811i	$0.390877\pi$
$614$	−0.544318	−	3.08698i	−0.0219669	−	0.124580i
$615$	17.6233	+	30.1670i	0.710642	+	1.21645i
$616$	−7.82165	+	13.5475i	−0.315143	+	0.545844i
$617$	3.91390	−	1.82508i	0.157568	−	0.0734750i	−0.342235	−	0.939615i	$-0.611184\pi$
$617$	3.91390	−	1.82508i	0.157568	−	0.0734750i	0.499802	+	0.866140i	$0.333406\pi$
$618$	−0.848305	−	3.95793i	−0.0341238	−	0.159211i
$619$	0.855340	+	0.493831i	0.0343790	+	0.0198487i	0.517091	−	0.855930i	$-0.327015\pi$
$619$	0.855340	+	0.493831i	0.0343790	+	0.0198487i	−0.482712	+	0.875779i	$0.660348\pi$
$620$	0.243076	−	7.71745i	0.00976217	−	0.309940i
$621$	15.4136	+	8.44161i	0.618526	+	0.338750i
$622$	−0.483044	−	5.52122i	−0.0193683	−	0.221381i
$623$	−27.0686	−	2.36819i	−1.08448	−	0.0948796i
$624$	−10.0498	−	4.24579i	−0.402316	−	0.169968i
$625$	7.39945	−	23.8799i	0.295978	−	0.955195i
$626$		−	33.6503i		−	1.34494i
$627$	−27.5539	+	28.4436i	−1.10040	+	1.13593i
$628$	−10.7570	+	10.7570i	−0.429252	+	0.429252i
$629$	−10.4047	+	3.78701i	−0.414864	+	0.150998i
$630$	−18.4979	+	7.62065i	−0.736974	+	0.303614i
$631$	26.9539	−	22.6170i	1.07302	−	0.900370i	0.0776966	−	0.996977i	$-0.475243\pi$
$631$	26.9539	−	22.6170i	1.07302	−	0.900370i	0.995323	+	0.0966070i	$0.0307990\pi$
$632$	−7.03715	+	0.615671i	−0.279923	+	0.0244901i
$633$	−8.08368	−	8.94726i	−0.321297	−	0.355622i
$634$	−2.04438	+	1.18033i	−0.0811928	+	0.0468767i
$635$	−6.50818	+	21.5506i	−0.258269	+	0.855211i
$636$	9.99550	−	15.4490i	0.396347	−	0.612594i
$637$	−5.04279	−	10.8143i	−0.199803	−	0.428478i
$638$	22.3754	−	5.99547i	0.885850	−	0.237363i
$639$	0.426001	+	5.80876i	0.0168523	+	0.229791i
$640$	0.880736	+	2.05531i	0.0348141	+	0.0812433i
$641$	11.4765	−	13.6772i	0.453296	−	0.540217i	−0.490196	−	0.871612i	$-0.663075\pi$
$641$	11.4765	−	13.6772i	0.453296	−	0.540217i	0.943492	+	0.331395i	$0.107519\pi$
$642$	17.3751	+	5.61295i	0.685742	+	0.221526i
$643$	25.3833	+	36.2511i	1.00102	+	1.42960i	0.900596	+	0.434658i	$0.143131\pi$
$643$	25.3833	+	36.2511i	1.00102	+	1.42960i	0.100423	+	0.994945i	$0.467981\pi$
$644$	9.47824	−	3.44980i	0.373495	−	0.135941i
$645$	15.8873	+	15.7256i	0.625563	+	0.619194i
$646$	0.583589	+	8.75640i	0.0229610	+	0.344516i
$647$	4.75082	−	4.75082i	0.186774	−	0.186774i	−0.607526	−	0.794300i	$-0.707838\pi$
$647$	4.75082	−	4.75082i	0.186774	−	0.186774i	0.794300	+	0.607526i	$0.207838\pi$
$648$	2.08403	+	8.75539i	0.0818684	+	0.343944i
$649$	−23.0558	−	4.06536i	−0.905020	−	0.159579i
$650$	12.6127	−	28.8583i	0.494712	−	1.13192i
$651$	−10.7587	−	14.2270i	−0.421668	−	0.557602i
$652$	2.86719	−	4.09478i	0.112288	−	0.160364i
$653$	3.04073	−	11.3482i	0.118993	−	0.444088i	−0.880561	−	0.473932i	$-0.842834\pi$
$653$	3.04073	−	11.3482i	0.118993	−	0.444088i	0.999555	+	0.0298435i	$0.00950091\pi$
$654$	−5.77737	+	6.21658i	−0.225913	+	0.243088i
$655$	−26.6069	−	33.8163i	−1.03962	−	1.32131i
$656$	3.08530	−	8.47681i	0.120461	−	0.330964i
$657$	39.1350	+	7.46935i	1.52680	+	0.291407i
$658$	−27.0772	−	7.25533i	−1.05558	−	0.282842i
$659$	1.57079	+	8.90841i	0.0611894	+	0.347023i	0.999997	+	0.00257956i	$0.000821101\pi$
$659$	1.57079	+	8.90841i	0.0611894	+	0.347023i	−0.938807	+	0.344443i	$0.888068\pi$
$660$	−12.9784	+	15.6288i	−0.505185	+	0.608350i
$661$	11.1294	−	9.33871i	0.432885	−	0.363234i	−0.400154	−	0.916448i	$-0.631043\pi$
$661$	11.1294	−	9.33871i	0.432885	−	0.363234i	0.833039	+	0.553214i	$0.186599\pi$
$662$	4.62658	+	6.60745i	0.179817	+	0.256806i
$663$	−17.3316	−	13.4936i	−0.673104	−	0.524050i
$664$			3.48872i			0.135388i
$665$	−15.8279	+	24.3812i	−0.613780	+	0.945461i
$666$	−7.18229	+	14.8536i	−0.278308	+	0.575565i
$667$	−13.5368	−	6.31231i	−0.524147	−	0.244414i
$668$	−11.9443	+	8.36346i	−0.462137	+	0.323592i
$669$	8.94594	+	17.4840i	0.345870	+	0.675970i
$670$	20.3310	−	6.68292i	0.785457	−	0.258184i
$671$	−58.9815	+	10.4000i	−2.27696	+	0.401489i
$672$	4.56503	+	2.41734i	0.176100	+	0.0932511i
$673$	−4.98372	−	18.5995i	−0.192108	−	0.716958i	−0.992996	−	0.118144i	$-0.962306\pi$
$673$	−4.98372	−	18.5995i	−0.192108	−	0.716958i	0.800888	−	0.598814i	$-0.204361\pi$
$674$	−13.1534	−	4.78745i	−0.506650	−	0.184405i
$675$	−25.3468	+	5.70450i	−0.975598	+	0.219566i
$676$	13.3377	−	23.1015i	0.512987	−	0.888520i
$677$	−2.85044	−	0.763774i	−0.109551	−	0.0293542i	0.203627	−	0.979049i	$-0.434727\pi$
$677$	−2.85044	−	0.763774i	−0.109551	−	0.0293542i	−0.313178	+	0.949694i	$0.601394\pi$
$678$	−10.8309	−	11.9880i	−0.415958	−	0.460395i
$679$	−25.3344	+	30.1924i	−0.972245	+	1.15868i
$680$	0.641787	+	4.45592i	0.0246114	+	0.170877i
$681$	14.0879	+	5.95176i	0.539849	+	0.228072i
$682$	−16.4154	−	7.65462i	−0.628578	−	0.293111i
$683$	−15.4021	−	15.4021i	−0.589346	−	0.589346i	0.348109	−	0.937454i	$-0.386824\pi$
$683$	−15.4021	−	15.4021i	−0.589346	−	0.589346i	−0.937454	+	0.348109i	$0.886824\pi$
$684$	9.71901	+	8.74876i	0.371616	+	0.334517i
$685$	−1.72599	−	7.36113i	−0.0659466	−	0.281254i
$686$	−5.20786	−	14.3085i	−0.198837	−	0.546300i
$687$	15.8734	−	6.44463i	0.605609	−	0.245878i
$688$	0.503043	−	5.74981i	0.0191783	−	0.219210i
$689$	51.2609	+	43.0130i	1.95288	+	1.63866i
$690$	12.8879	−	2.34055i	0.490636	−	0.0891032i
$691$	4.93248	+	8.54330i	0.187640	+	0.325002i	0.944463	−	0.328618i	$-0.106583\pi$
$691$	4.93248	+	8.54330i	0.187640	+	0.325002i	−0.756823	+	0.653620i	$0.773249\pi$
$692$	−0.330021	−	1.23165i	−0.0125455	−	0.0468204i
$693$	−0.659806	+	46.9253i	−0.0250640	+	1.78254i
$694$	−0.321029	+	0.882019i	−0.0121861	+	0.0334810i
$695$	11.6556	−	6.24860i	0.442121	−	0.237023i
$696$	−2.24882	−	7.31117i	−0.0852413	−	0.277129i
$697$	10.4171	−	14.8772i	0.394577	−	0.563515i
$698$	0.733236	+	8.38092i	0.0277534	+	0.317223i
$699$	20.9524	−	10.7206i	0.792492	−	0.405490i
$700$	−7.13996	+	13.0912i	−0.269865	+	0.494801i
$701$	1.46716	+	4.03098i	0.0554138	+	0.152248i	0.964311	−	0.264772i	$-0.0852967\pi$
$701$	1.46716	+	4.03098i	0.0554138	+	0.152248i	−0.908897	+	0.417020i	$0.863074\pi$
$702$	−32.5326	+	3.58683i	−1.22786	+	0.135376i
$703$	3.67279	+	23.6893i	0.138522	+	0.893461i
$704$	5.24531			0.197690
$705$	−33.0715	−	15.2160i	−1.24555	−	0.573067i
$706$	−2.14858	+	12.1852i	−0.0808630	+	0.458597i
$707$	−0.608460	+	6.95473i	−0.0228835	+	0.261560i
$708$	−1.06291	+	7.65727i	−0.0399467	+	0.287778i
$709$	38.5505	−	6.79749i	1.44779	−	0.255285i	0.606164	−	0.795340i	$-0.292707\pi$
$709$	38.5505	−	6.79749i	1.44779	−	0.255285i	0.841630	+	0.540054i	$0.181596\pi$
$710$	2.97155	+	3.16483i	0.111520	+	0.118774i
$711$	−17.5287	+	11.9100i	−0.657379	+	0.446661i
$712$	3.85045	+	8.25732i	0.144302	+	0.309456i
$713$	4.93557	+	10.5844i	0.184838	+	0.396387i
$714$	7.61802	+	7.07980i	0.285097	+	0.264955i
$715$	−50.5693	−	53.8585i	−1.89119	−	2.01419i
$716$	5.26887	−	0.929044i	0.196907	−	0.0347200i
$717$	24.4847	+	3.39875i	0.914399	+	0.126929i
$718$	1.90964	−	21.8273i	0.0712673	−	0.814589i
$719$	−4.72401	+	26.7912i	−0.176176	+	0.999144i	0.760602	+	0.649219i	$0.224904\pi$
$719$	−4.72401	+	26.7912i	−0.176176	+	0.999144i	−0.936778	+	0.349925i	$0.886207\pi$
$720$	5.31415	+	4.09387i	0.198047	+	0.152570i
$721$	−6.96976			−0.259567
$722$	18.8429	+	2.43859i	0.701259	+	0.0907550i
$723$	−19.5096	+	12.2370i	−0.725571	+	0.455100i
$724$	5.51273	+	15.1461i	0.204879	+	0.562900i
$725$	21.1838	−	6.23149i	0.786748	−	0.231432i
$726$	13.0282	+	25.4623i	0.483521	+	0.944996i
$727$	0.239917	+	2.74226i	0.00889802	+	0.101705i	0.999345	−	0.0361897i	$-0.0115221\pi$
$727$	0.239917	+	2.74226i	0.00889802	+	0.101705i	−0.990447	+	0.137895i	$0.955967\pi$
$728$	−10.7748	+	15.3880i	−0.399340	+	0.570317i
$729$	18.2699	+	19.8800i	0.676661	+	0.736294i
$730$	26.1723	−	14.0311i	0.968679	−	0.519313i
$731$	3.97440	−	10.9196i	0.146999	−	0.403876i
$732$	4.14463	+	19.3375i	0.153190	+	0.714736i
$733$	9.79046	+	36.5385i	0.361619	+	1.34958i	0.871947	+	0.489600i	$0.162857\pi$
$733$	9.79046	+	36.5385i	0.361619	+	1.34958i	−0.510328	+	0.859980i	$0.670476\pi$
$734$	1.72464	+	2.98717i	0.0636578	+	0.110259i
$735$	1.31098	+	7.21874i	0.0483562	+	0.266267i
$736$	−2.59083	−	2.17396i	−0.0954992	−	0.0801333i
$737$	4.37543	−	50.0114i	0.161171	−	1.84219i
$738$	−4.32418	−	26.7148i	−0.159175	−	0.983385i
$739$	15.7765	+	43.3456i	0.580349	+	1.59450i	0.787586	+	0.616205i	$0.211331\pi$
$739$	15.7765	+	43.3456i	0.580349	+	1.59450i	−0.207237	+	0.978291i	$0.566447\pi$
$740$	2.80731	+	11.9728i	0.103199	+	0.440131i
$741$	−35.9392	+	31.1427i	−1.32026	+	1.14406i
$742$	−22.4034	−	22.4034i	−0.822455	−	0.822455i
$743$	−3.08551	−	1.43880i	−0.113196	−	0.0527843i	0.365195	−	0.930931i	$-0.381002\pi$
$743$	−3.08551	−	1.43880i	−0.113196	−	0.0527843i	−0.478392	+	0.878147i	$0.658780\pi$
$744$	−2.32757	+	5.50938i	−0.0853329	+	0.201984i
$745$	2.79541	+	19.4085i	0.102416	+	0.711072i
$746$	−20.5488	+	24.4891i	−0.752346	+	0.896611i
$747$	5.10512	+	9.13663i	0.186787	+	0.334292i
$748$	10.2006	+	2.73324i	0.372971	+	0.0999373i
$749$	15.7199	−	27.2277i	0.574393	−	0.994878i
$750$	−12.0059	+	15.1940i	−0.438394	+	0.554807i
$751$	31.9133	+	11.6155i	1.16453	+	0.423856i	0.850715	−	0.525627i	$-0.176169\pi$
$751$	31.9133	+	11.6155i	1.16453	+	0.423856i	0.313819	+	0.949483i	$0.398391\pi$
$752$	2.43276	+	9.07919i	0.0887137	+	0.331084i
$753$	16.0729	−	30.3529i	0.585730	−	1.10612i
$754$	27.3948	−	4.83044i	0.997658	−	0.175914i
$755$	−7.30262	+	2.40041i	−0.265769	+	0.0873598i
$756$	15.4928	−	0.349319i	0.563466	−	0.0127046i
$757$	33.2232	−	23.2632i	1.20752	−	0.845514i	0.216117	−	0.976367i	$-0.430661\pi$
$757$	33.2232	−	23.2632i	1.20752	−	0.845514i	0.991402	+	0.130853i	$0.0417717\pi$
$758$	−10.2904	−	4.79851i	−0.373765	−	0.174290i
$759$	6.86120	−	29.9509i	0.249046	−	1.08715i
$760$	9.73352	+	0.508593i	0.353072	+	0.0184486i
$761$		−	4.27771i		−	0.155067i	−0.996990	−	0.0775334i	$-0.975296\pi$
$761$		−	4.27771i		−	0.155067i	0.996990	−	0.0775334i	$-0.0247044\pi$
$762$	10.7124	−	13.7593i	0.388068	−	0.498445i
$763$	8.38158	+	11.9701i	0.303434	+	0.433348i
$764$	16.6035	−	13.9320i	0.600695	−	0.504043i
$765$	8.20124	+	10.7305i	0.296516	+	0.387962i
$766$	0.111542	+	0.632588i	0.00403019	+	0.0228563i
$767$	−27.1558	−	7.27636i	−0.980538	−	0.262734i
$768$	−0.0633846	−	1.73089i	−0.00228720	−	0.0624581i
$769$	13.3480	−	36.6734i	0.481342	−	1.32248i	−0.427001	−	0.904251i	$-0.640430\pi$
$769$	13.3480	−	36.6734i	0.481342	−	1.32248i	0.908343	−	0.418226i	$-0.137348\pi$
$770$	21.6297	+	27.4904i	0.779479	+	0.990685i
$771$	−4.63026	−	4.30312i	−0.166755	−	0.154973i
$772$	1.45701	−	5.43764i	0.0524390	−	0.195705i
$773$	21.5214	−	30.7358i	0.774072	−	1.10549i	−0.217516	−	0.976057i	$-0.569795\pi$
$773$	21.5214	−	30.7358i	0.774072	−	1.10549i	0.991588	−	0.129433i	$-0.0413158\pi$
$774$	−7.09642	−	15.7943i	−0.255075	−	0.567716i
$775$	−15.8203	−	6.91438i	−0.568282	−	0.248372i
$776$	13.0148	+	2.29486i	0.467204	+	0.0823806i
$777$	22.4160	+	17.4522i	0.804171	+	0.626093i
$778$	−3.64548	+	3.64548i	−0.130697	+	0.130697i
$779$	−27.2221	−	28.3741i	−0.975333	−	1.01661i
$780$	−17.1616	+	17.3381i	−0.614483	+	0.620804i
$781$	9.56938	−	3.48297i	0.342420	−	0.124631i
$782$	−3.90559	−	5.57776i	−0.139664	−	0.199460i
$783$	−16.5881	−	15.8565i	−0.592809	−	0.566666i
$784$	1.21767	−	1.45116i	0.0434882	−	0.0518272i
$785$	13.3984	+	31.2669i	0.478209	+	1.11596i
$786$	9.79878	+	31.8569i	0.349511	+	1.13630i
$787$	17.4512	−	4.67604i	0.622069	−	0.166683i	0.0660007	−	0.997820i	$-0.478976\pi$
$787$	17.4512	−	4.67604i	0.622069	−	0.166683i	0.556068	+	0.831137i	$0.312309\pi$
$788$	5.98401	+	12.8327i	0.213171	+	0.457147i
$789$	12.9992	+	8.41043i	0.462782	+	0.299419i
$790$	−4.56652	+	15.1212i	−0.162469	+	0.537987i
$791$	−24.0915	+	13.9092i	−0.856596	+	0.494556i
$792$	13.7370	−	7.67559i	0.488123	−	0.272740i
$793$	−71.6470	+	6.26830i	−2.54426	+	0.222594i
$794$	−27.8743	+	23.3893i	−0.989222	+	0.830056i
$795$	−23.7720	−	33.5828i	−0.843105	−	1.19106i
$796$	3.00709	−	1.09449i	0.106583	−	0.0387932i
$797$	−27.1903	+	27.1903i	−0.963129	+	0.963129i	−0.999344	−	0.0362152i	$-0.988470\pi$
$797$	−27.1903	+	27.1903i	−0.963129	+	0.963129i	0.0362152	+	0.999344i	$0.488470\pi$
$798$	18.2367	−	13.2061i	0.645572	−	0.467491i
$799$			18.9241i			0.669485i
$800$	4.99852	−	0.121455i	0.176725	−	0.00429408i
$801$	22.1671	+	15.9907i	0.783237	+	0.565004i
$802$	20.3355	+	1.77912i	0.718071	+	0.0628231i
$803$	−6.07129	−	69.3952i	−0.214251	−	2.44890i
$804$	−16.5561	−	0.839501i	−0.583887	−	0.0296069i
$805$	0.710035	−	22.5430i	0.0250255	−	0.794536i
$806$	−18.8363	−	10.8751i	−0.663480	−	0.383060i
$807$	−12.6811	+	2.71795i	−0.446396	+	0.0956763i
$808$	2.12156	−	0.989298i	0.0746361	−	0.0348034i
$809$	2.91279	−	5.04511i	0.102408	−	0.177377i	−0.810268	−	0.586060i	$-0.800678\pi$
$809$	2.91279	−	5.04511i	0.102408	−	0.177377i	0.912676	+	0.408683i	$0.134012\pi$
$810$	19.9079	+	2.94514i	0.699494	+	0.103482i
$811$	7.23770	+	41.0471i	0.254150	+	1.44136i	0.798245	+	0.602333i	$0.205762\pi$
$811$	7.23770	+	41.0471i	0.254150	+	1.44136i	−0.544095	+	0.839024i	$0.683127\pi$
$812$	−13.1207	+	1.14791i	−0.460447	+	0.0402839i
$813$	2.06185	−	6.38256i	0.0723124	−	0.223846i
$814$	28.4091	+	5.00928i	0.995737	+	0.175575i
$815$	−6.11981	−	9.35349i	−0.214368	−	0.327639i
$816$	0.778674	−	3.39911i	0.0272590	−	0.118993i
$817$	−21.5227	−	13.0280i	−0.752984	−	0.455791i
$818$	4.82571	+	4.82571i	0.168727	+	0.168727i
$819$	−5.70056	+	56.0668i	−0.199194	+	1.95913i
$820$	−15.0362	−	13.4458i	−0.525086	−	0.469548i
$821$	−20.9710	−	24.9923i	−0.731893	−	0.872236i	0.263836	−	0.964568i	$-0.415012\pi$
$821$	−20.9710	−	24.9923i	−0.731893	−	0.872236i	−0.995728	+	0.0923320i	$0.970568\pi$
$822$	−0.805232	+	5.80092i	−0.0280857	+	0.202330i
$823$	18.6010	+	13.0245i	0.648388	+	0.454006i	0.850938	−	0.525265i	$-0.176034\pi$
$823$	18.6010	+	13.0245i	0.648388	+	0.454006i	−0.202550	+	0.979272i	$0.564923\pi$
$824$	1.16850	+	2.02391i	0.0407068	+	0.0705062i
$825$	21.6677	+	39.9250i	0.754372	+	1.39001i
$826$	12.5084	+	4.55268i	0.435222	+	0.158408i
$827$	−44.3405	+	20.6763i	−1.54187	+	0.718986i	−0.993131	−	0.117006i	$-0.962670\pi$
$827$	−44.3405	+	20.6763i	−1.54187	+	0.718986i	−0.548740	+	0.835993i	$0.684892\pi$
$828$	−9.96635	−	1.90219i	−0.346355	−	0.0661056i
$829$	−15.6982	+	9.06336i	−0.545221	+	0.314784i	−0.747192	−	0.664608i	$-0.768599\pi$
$829$	−15.6982	+	9.06336i	−0.545221	+	0.314784i	0.201971	+	0.979391i	$0.435265\pi$
$830$	7.24292	+	2.89755i	0.251405	+	0.100576i
$831$	19.6276	+	25.9549i	0.680873	+	0.900366i
$832$	6.27487	+	0.548980i	0.217542	+	0.0190324i
$833$	3.12419	−	2.18758i	0.108247	−	0.0757953i
$834$	−10.1655	+	1.26567i	−0.352001	+	0.0438266i
$835$	7.44306	+	31.7437i	0.257578	+	1.09854i
$836$	10.0898	−	20.5170i	0.348965	−	0.709595i
$837$	1.96632	+	17.8346i	0.0679660	+	0.616453i
$838$	2.86025	−	6.13383i	0.0988058	−	0.211890i
$839$	−2.45322	+	13.9129i	−0.0846945	+	0.480326i	0.912728	+	0.408569i	$0.133972\pi$
$839$	−2.45322	+	13.9129i	−0.0846945	+	0.480326i	−0.997422	+	0.0717577i	$0.977139\pi$
$840$	8.81014	−	7.46973i	0.303979	−	0.257730i
$841$	−7.27478	−	6.10426i	−0.250854	−	0.210492i
$842$	−2.48592	−	1.74066i	−0.0856706	−	0.0599872i
$843$	13.6537	−	25.7844i	0.470259	−	0.888061i
$844$	6.02908	+	3.48089i	0.207530	+	0.119817i
$845$	−36.8834	−	46.8773i	−1.26883	−	1.61263i
$846$	19.6570	+	20.2176i	0.675821	+	0.695097i
$847$	47.5701	−	12.7464i	1.63453	−	0.437971i
$848$	−2.74959	+	10.2616i	−0.0944213	+	0.352385i
$849$	−39.7575	−	2.01597i	−1.36447	−	0.0691878i
$850$	9.78397	+	2.36845i	0.335587	+	0.0812373i
$851$	−11.9560	−	14.2486i	−0.409847	−	0.488436i
$852$	−1.26498	−	3.11570i	−0.0433374	−	0.106742i
$853$	−15.2753	+	32.7579i	−0.523015	+	1.12161i	0.450456	+	0.892799i	$0.351261\pi$
$853$	−15.2753	+	32.7579i	−0.523015	+	1.12161i	−0.973471	+	0.228810i	$0.926516\pi$
$854$	34.0526			1.16526
$855$	26.2354	−	12.9113i	0.897233	−	0.441558i
$856$	−10.5420			−0.360318
$857$	−11.0818	+	23.7649i	−0.378546	+	0.811794i	0.621061	+	0.783762i	$0.286702\pi$
$857$	−11.0818	+	23.7649i	−0.378546	+	0.811794i	−0.999607	+	0.0280319i	$0.991076\pi$
$858$	21.5272	+	53.0224i	0.734925	+	1.81016i
$859$	8.03284	+	9.57317i	0.274077	+	0.326632i	0.885472	−	0.464694i	$-0.153836\pi$
$859$	8.03284	+	9.57317i	0.274077	+	0.326632i	−0.611394	+	0.791326i	$0.709391\pi$
$860$	−11.5194	−	5.81988i	−0.392807	−	0.198456i
$861$	−46.5379	−	2.35978i	−1.58601	−	0.0804210i
$862$	−10.2987	+	38.4354i	−0.350776	+	1.30911i
$863$	33.2675	−	8.91401i	1.13244	−	0.303436i	0.356532	−	0.934283i	$-0.383959\pi$
$863$	33.2675	−	8.91401i	1.13244	−	0.303436i	0.775908	+	0.630846i	$0.217292\pi$
$864$	−2.69885	−	4.44029i	−0.0918168	−	0.151062i
$865$	−2.83113	−	0.337795i	−0.0962614	−	0.0114854i
$866$	−11.1373	−	6.43015i	−0.378462	−	0.218505i
$867$	−10.4939	+	19.8172i	−0.356391	+	0.673026i
$868$	8.43580	+	5.90681i	0.286330	+	0.200490i
$869$	28.3843	+	23.8172i	0.962871	+	0.807944i
$870$	−17.0465	−	1.40352i	−0.577929	−	0.0475838i
$871$	10.4685	−	59.3698i	0.354712	−	2.01167i
$872$	2.07074	−	4.44072i	0.0701241	−	0.150382i
$873$	37.4427	−	13.0348i	1.26724	−	0.441162i
$874$	−13.4871	+	5.95218i	−0.456209	+	0.201336i
$875$	21.2486	+	25.6962i	0.718332	+	0.868689i
$876$	−22.8262	+	2.84203i	−0.771227	+	0.0960234i
$877$	−25.6636	+	17.9698i	−0.866597	+	0.606798i	−0.920062	−	0.391772i	$-0.871862\pi$
$877$	−25.6636	+	17.9698i	−0.866597	+	0.606798i	0.0534653	+	0.998570i	$0.482973\pi$
$878$	−2.02752	−	0.177385i	−0.0684256	−	0.00598646i
$879$	24.4370	+	32.3148i	0.824239	+	1.08995i
$880$	4.35649	−	10.8898i	0.146857	−	0.367094i
$881$	−13.2747	+	7.66418i	−0.447237	+	0.258213i	−0.706663	−	0.707550i	$-0.749800\pi$
$881$	−13.2747	+	7.66418i	−0.447237	+	0.258213i	0.259425	+	0.965763i	$0.416467\pi$
$882$	1.06544	−	5.58231i	0.0358754	−	0.187966i
$883$	9.52928	−	4.44358i	0.320686	−	0.149538i	−0.255609	−	0.966780i	$-0.582276\pi$
$883$	9.52928	−	4.44358i	0.320686	−	0.149538i	0.576295	+	0.817242i	$0.304498\pi$
$884$	11.9167	+	4.33734i	0.400803	+	0.145880i
$885$	15.0145	+	8.56646i	0.504705	+	0.287959i
$886$	−18.2313	−	31.5776i	−0.612493	−	1.06087i
$887$	−39.6428	−	27.7582i	−1.33107	−	0.932028i	−0.331140	−	0.943582i	$-0.607433\pi$
$887$	−39.6428	−	27.7582i	−1.33107	−	0.932028i	−0.999933	+	0.0115539i	$0.996322\pi$
$888$	1.30971	−	9.43519i	0.0439509	−	0.316624i
$889$	−19.2998	−	23.0006i	−0.647294	−	0.771415i
$890$	20.3410	−	1.13580i	0.681832	−	0.0380721i
$891$	24.7440	−	40.2033i	0.828956	−	1.34686i
$892$	−8.01789	−	8.01789i	−0.268459	−	0.268459i
$893$	40.1928	+	7.94895i	1.34500	+	0.266001i
$894$	3.39164	−	14.8054i	0.113433	−	0.495165i
$895$	2.44728	−	11.7103i	0.0818034	−	0.391433i
$896$	−2.93703	−	0.517878i	−0.0981194	−	0.0173011i
$897$	11.3426	−	35.1116i	0.378719	−	1.17234i
$898$	−29.6935	+	2.59785i	−0.990885	+	0.0866912i
$899$	−2.64807	−	15.0180i	−0.0883182	−	0.500878i
$900$	12.9130	−	7.63254i	0.430432	−	0.254418i
$901$	−10.6943	+	18.5231i	−0.356279	+	0.617093i
$902$	−42.8838	+	19.9970i	−1.42787	+	0.665829i
$903$	−29.1524	+	6.24825i	−0.970132	+	0.207929i
$904$	8.07806	+	4.66387i	0.268672	+	0.155118i
$905$	36.0234	+	1.13463i	1.19746	+	0.0377163i
$906$	5.94670	+	0.301536i	0.197566	+	0.0100179i
$907$	1.15359	+	13.1855i	0.0383042	+	0.437819i	0.990997	+	0.133884i	$0.0427450\pi$
$907$	1.15359	+	13.1855i	0.0383042	+	0.437819i	−0.952693	+	0.303935i	$0.901699\pi$
$908$	−8.79612	−	0.769561i	−0.291909	−	0.0255388i
$909$	4.10850	−	5.69541i	0.136270	−	0.188905i
$910$	22.9980	+	35.1500i	0.762376	+	1.16521i
$911$			31.0208i			1.02777i	0.857860	+	0.513883i	$0.171793\pi$
$911$			31.0208i			1.02777i	−0.857860	+	0.513883i	$0.828207\pi$
$912$	−6.89229	−	3.08160i	−0.228227	−	0.102042i
$913$	12.9396	−	12.9396i	0.428239	−	0.428239i
$914$	−9.82914	+	3.57751i	−0.325119	+	0.118334i
$915$	43.5890	+	7.45615i	1.44101	+	0.246493i
$916$	−7.57699	+	6.35785i	−0.250351	+	0.210069i
$917$	57.1708	−	5.00180i	1.88795	−	0.165174i
$918$	−2.93472	−	10.0414i	−0.0968603	−	0.331416i
$919$	13.0833	−	7.55367i	0.431580	−	0.249173i	−0.268440	−	0.963296i	$-0.586508\pi$
$919$	13.0833	−	7.55367i	0.431580	−	0.249173i	0.700019	+	0.714124i	$0.253175\pi$
$920$	−6.66517	+	3.57323i	−0.219744	+	0.117806i
$921$	4.55840	+	2.94927i	0.150204	+	0.0971819i
$922$	−9.01385	−	19.3303i	−0.296855	−	0.636608i
$923$	11.8122	−	3.16507i	0.388804	−	0.104180i
$924$	−7.96576	−	25.8976i	−0.262054	−	0.851968i
$925$	27.1884	+	4.11579i	0.893950	+	0.135326i
$926$	−5.65333	+	6.73738i	−0.185780	+	0.221404i
$927$	6.02184	+	3.59053i	0.197783	+	0.117929i
$928$	2.53307	+	3.61760i	0.0831521	+	0.118753i
$929$	−3.25796	+	1.18580i	−0.106890	+	0.0389049i	−0.394912	−	0.918719i	$-0.629225\pi$
$929$	−3.25796	+	1.18580i	−0.106890	+	0.0389049i	0.288021	+	0.957624i	$0.407003\pi$
$930$	9.50486	+	9.40809i	0.311677	+	0.308503i
$931$	−3.33391	−	7.55436i	−0.109265	−	0.247584i
$932$	−9.60844	+	9.60844i	−0.314735	+	0.314735i
$933$	7.57457	+	5.89724i	0.247980	+	0.193067i
$934$	11.5211	+	2.03148i	0.376981	+	0.0664720i
$935$	14.1466	−	18.9074i	0.462643	−	0.618337i
$936$	17.2366	−	7.74444i	0.563397	−	0.253135i
$937$	11.4725	−	16.3844i	0.374790	−	0.535255i	−0.586805	−	0.809728i	$-0.699614\pi$
$937$	11.4725	−	16.3844i	0.374790	−	0.535255i	0.961595	+	0.274473i	$0.0885034\pi$
$938$	−7.38767	+	27.5712i	−0.241216	+	0.900230i
$939$	42.6936	+	39.6772i	1.39325	+	1.29482i
$940$	20.8698	+	2.49007i	0.680699	+	0.0812172i
$941$	−4.27932	+	11.7573i	−0.139502	+	0.383278i	−0.989695	−	0.143193i	$-0.954263\pi$
$941$	−4.27932	+	11.7573i	−0.139502	+	0.383278i	0.850193	+	0.526471i	$0.176485\pi$
$942$	−0.964253	−	26.3316i	−0.0314171	−	0.857929i
$943$	29.4696	+	7.89636i	0.959663	+	0.257141i
$944$	−0.775047	−	4.39551i	−0.0252256	−	0.143062i
$945$	12.1423	−	32.4546i	0.394989	−	1.05575i
$946$	−23.1918	+	19.4602i	−0.754031	+	0.632707i
$947$	−0.621350	−	0.887380i	−0.0201912	−	0.0288360i	0.808930	−	0.587906i	$-0.200047\pi$
$947$	−0.621350	−	0.887380i	−0.0201912	−	0.0288360i	−0.829121	+	0.559070i	$0.811158\pi$
$948$	7.51641	−	9.65429i	0.244122	−	0.313557i
$949$		−	83.6516i		−	2.71545i
$950$	9.14007	−	19.7853i	0.296543	−	0.641921i
$951$	0.913011	−	3.98553i	0.0296064	−	0.129240i
$952$	−5.44182	−	2.53756i	−0.176370	−	0.0822428i
$953$	−39.4152	+	27.5988i	−1.27678	+	0.894014i	−0.997801	−	0.0662816i	$-0.978886\pi$
$953$	−39.4152	+	27.5988i	−1.27678	+	0.894014i	−0.278984	+	0.960296i	$0.589998\pi$
$954$	7.81514	+	30.8978i	0.253024	+	1.00035i
$955$	−15.1342	−	46.0418i	−0.489731	−	1.48988i
$956$	−14.0550	+	2.47827i	−0.454571	+	0.0801531i
$957$	−18.7762	+	35.4579i	−0.606949	+	1.14619i
$958$	−4.14009	−	15.4510i	−0.133760	−	0.499200i
$959$	9.47598	+	3.44897i	0.305995	+	0.111373i
$960$	−3.64614	−	1.30600i	−0.117679	−	0.0421509i
$961$	9.53819	−	16.5206i	0.307683	−	0.532923i
$962$	33.4610	+	8.96584i	1.07882	+	0.289070i
$963$	−27.6085	+	15.4264i	−0.889672	+	0.497108i
$964$	8.54666	−	10.1855i	0.275269	−	0.328053i
$965$	−10.0790	−	7.54114i	−0.324453	−	0.242758i
$966$	−6.79893	+	16.0931i	−0.218752	+	0.517788i
$967$	−41.8917	−	19.5344i	−1.34715	−	0.628185i	−0.390815	−	0.920469i	$-0.627807\pi$
$967$	−41.8917	−	19.5344i	−1.34715	−	0.628185i	−0.956331	+	0.292285i	$0.905585\pi$
$968$	−11.6766	−	11.6766i	−0.375302	−	0.375302i
$969$	−11.7977	−	9.58428i	−0.378998	−	0.307892i
$970$	15.5738	−	25.1140i	0.500044	−	0.806362i
$971$	2.42617	+	6.66586i	0.0778596	+	0.213918i	0.972515	−	0.232839i	$-0.0748014\pi$
$971$	2.42617	+	6.66586i	0.0778596	+	0.213918i	−0.894656	+	0.446756i	$0.852579\pi$
$972$	−13.5656	−	7.67942i	−0.435118	−	0.246318i
$973$	−1.53730	+	17.5715i	−0.0492837	+	0.563315i
$974$	−8.29753	−	6.96246i	−0.265870	−	0.223092i
$975$	21.7421	+	50.0293i	0.696304	+	1.60222i
$976$	−5.70905	−	9.88836i	−0.182742	−	0.316519i
$977$	14.1987	+	52.9901i	0.454255	+	1.69530i	0.690268	+	0.723554i	$0.257493\pi$
$977$	14.1987	+	52.9901i	0.454255	+	1.69530i	−0.236013	+	0.971750i	$0.575841\pi$
$978$	1.81450	+	8.46590i	0.0580214	+	0.270710i
$979$	16.3451	−	44.9077i	0.522390	−	1.43526i
$980$	−2.00142	−	3.73327i	−0.0639331	−	0.119255i
$981$	−1.07513	−	14.6600i	−0.0343263	−	0.468058i
$982$	−13.9961	+	19.9885i	−0.446633	+	0.637858i
$983$	0.241863	+	2.76450i	0.00771422	+	0.0881739i	0.999076	−	0.0429834i	$-0.0136863\pi$
$983$	0.241863	+	2.76450i	0.00771422	+	0.0881739i	−0.991362	+	0.131157i	$0.958131\pi$
$984$	7.11700	+	13.9095i	0.226882	+	0.443419i
$985$	31.6121	−	1.76515i	1.00724	−	0.0562423i
$986$	3.04101	+	8.35512i	0.0968456	+	0.266081i
$987$	41.1321	−	25.7993i	1.30925	−	0.821201i
$988$	14.2176	−	23.4881i	0.452323	−	0.747256i
$989$	19.5206			0.620720
$990$	−4.52602	−	34.8943i	−0.143846	−	1.10901i
$991$	6.78407	−	38.4744i	0.215503	−	1.22218i	−0.664529	−	0.747263i	$-0.731368\pi$
$991$	6.78407	−	38.4744i	0.215503	−	1.22218i	0.880032	−	0.474915i	$-0.157521\pi$
$992$	0.300954	−	3.43992i	0.00955530	−	0.109218i
$993$	−13.8384	−	1.92092i	−0.439148	−	0.0609586i
$994$	−5.70211	+	1.00544i	−0.180860	+	0.0318905i
$995$	0.225268	−	7.15204i	0.00714146	−	0.226735i
$996$	−4.42629	−	4.11356i	−0.140252	−	0.130343i
$997$	−3.50695	−	7.52067i	−0.111066	−	0.238182i	0.842916	−	0.538045i	$-0.180837\pi$
$997$	−3.50695	−	7.52067i	−0.111066	−	0.238182i	−0.953982	+	0.299863i	$0.903059\pi$
$998$	−8.97860	−	19.2547i	−0.284213	−	0.609496i
$999$	−10.3767	−	26.6264i	−0.328305	−	0.842423i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	570.2.bi.a.347.33	yes	480
3.2	odd	2	inner	570.2.bi.a.347.15	yes	480
5.3	odd	4	inner	570.2.bi.a.233.3	yes	480
15.8	even	4	inner	570.2.bi.a.233.25	yes	480
19.4	even	9	inner	570.2.bi.a.137.25	yes	480
57.23	odd	18	inner	570.2.bi.a.137.3	yes	480
95.23	odd	36	inner	570.2.bi.a.23.15	✓	480
285.23	even	36	inner	570.2.bi.a.23.33	yes	480

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
570.2.bi.a.23.15	✓	480	95.23	odd	36	inner
570.2.bi.a.23.33	yes	480	285.23	even	36	inner
570.2.bi.a.137.3	yes	480	57.23	odd	18	inner
570.2.bi.a.137.25	yes	480	19.4	even	9	inner
570.2.bi.a.233.3	yes	480	5.3	odd	4	inner
570.2.bi.a.233.25	yes	480	15.8	even	4	inner
570.2.bi.a.347.15	yes	480	3.2	odd	2	inner
570.2.bi.a.347.33	yes	480	1.1	even	1	trivial

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:	\( N \)	\(=\)	\( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	570.bi (of order \(36\), degree \(12\), minimal)

\(f(q)\)	\(=\)	\(q+(0.422618 - 0.906308i) q^{2} +(0.651562 + 1.60483i) q^{3} +(-0.642788 - 0.766044i) q^{4} +(-2.12425 + 0.698252i) q^{5} +(1.72983 + 0.0877136i) q^{6} +(0.771887 - 2.88072i) q^{7} +(-0.965926 + 0.258819i) q^{8} +(-2.15094 + 2.09129i) q^{9} +O(q^{10})\)	\(q+(0.422618 - 0.906308i) q^{2} +(0.651562 + 1.60483i) q^{3} +(-0.642788 - 0.766044i) q^{4} +(-2.12425 + 0.698252i) q^{5} +(1.72983 + 0.0877136i) q^{6} +(0.771887 - 2.88072i) q^{7} +(-0.965926 + 0.258819i) q^{8} +(-2.15094 + 2.09129i) q^{9} +(-0.264916 + 2.22032i) q^{10} +(4.54257 + 2.62265i) q^{11} +(0.810553 - 1.53069i) q^{12} +(5.15970 + 3.61286i) q^{13} +(-2.28461 - 1.91701i) q^{14} +(-2.50465 - 2.95410i) q^{15} +(-0.173648 + 0.984808i) q^{16} +(-0.850862 + 1.82468i) q^{17} +(0.986324 + 2.83323i) q^{18} +(3.51804 + 2.57359i) q^{19} +(1.90033 + 1.17844i) q^{20} +(5.12599 - 0.638222i) q^{21} +(4.29671 - 3.00859i) q^{22} +(-3.36921 - 0.294768i) q^{23} +(-1.04472 - 1.38151i) q^{24} +(4.02489 - 2.96653i) q^{25} +(5.45495 - 3.14942i) q^{26} +(-4.75762 - 2.08928i) q^{27} +(-2.70292 + 1.26039i) q^{28} +(4.14994 + 1.51045i) q^{29} +(-3.73584 + 1.02153i) q^{30} +(-1.72653 - 2.99044i) q^{31} +(0.819152 + 0.573576i) q^{32} +(-1.24914 + 8.99886i) q^{33} +(1.29413 + 1.54229i) q^{34} +(0.371788 + 6.65835i) q^{35} +(2.98461 + 0.303459i) q^{36} +(3.88883 + 3.88883i) q^{37} +(3.81926 - 2.10078i) q^{38} +(-2.43615 + 10.6344i) q^{39} +(1.87115 - 1.22426i) q^{40} +(-8.88378 - 1.56645i) q^{41} +(1.58791 - 4.91545i) q^{42} +(-5.74981 + 0.503043i) q^{43} +(-0.910838 - 5.16562i) q^{44} +(3.10888 - 5.94431i) q^{45} +(-1.69104 + 2.92897i) q^{46} +(8.51881 - 3.97239i) q^{47} +(-1.69359 + 0.362988i) q^{48} +(-1.64056 - 0.947179i) q^{49} +(-0.987595 - 4.90150i) q^{50} +(-3.48268 - 0.176595i) q^{51} +(-0.548980 - 6.27487i) q^{52} +(10.5832 + 0.925908i) q^{53} +(-3.90418 + 3.42890i) q^{54} +(-11.4808 - 2.39932i) q^{55} +2.98234i q^{56} +(-1.83795 + 7.32270i) q^{57} +(3.12278 - 3.12278i) q^{58} +(-4.19415 + 1.52654i) q^{59} +(-0.653012 + 3.81754i) q^{60} +(-8.74677 + 7.33941i) q^{61} +(-3.43992 + 0.300954i) q^{62} +(4.36413 + 7.81048i) q^{63} +(0.866025 - 0.500000i) q^{64} +(-13.4832 - 4.07186i) q^{65} +(7.62783 + 4.93519i) q^{66} +(-4.04485 - 8.67420i) q^{67} +(1.94471 - 0.521083i) q^{68} +(-1.72220 - 5.59906i) q^{69} +(6.19163 + 2.47698i) q^{70} +(1.24794 - 1.48724i) q^{71} +(1.53638 - 2.57673i) q^{72} +(-7.61738 - 10.8787i) q^{73} +(5.16797 - 1.88099i) q^{74} +(7.38322 + 4.52637i) q^{75} +(-0.289865 - 4.34925i) q^{76} +(11.0615 - 11.0615i) q^{77} +(8.60851 + 6.70221i) q^{78} +(6.95672 + 1.22666i) q^{79} +(-0.318772 - 2.21323i) q^{80} +(0.253044 - 8.99644i) q^{81} +(-5.17413 + 7.38943i) q^{82} +(0.902946 - 3.36984i) q^{83} +(-3.78383 - 3.51649i) q^{84} +(0.533359 - 4.47020i) q^{85} +(-1.97406 + 5.42369i) q^{86} +(0.279924 + 7.64408i) q^{87} +(-5.06658 - 1.35759i) q^{88} +(-1.58210 - 8.97253i) q^{89} +(-4.07351 - 5.32978i) q^{90} +(14.3904 - 12.0749i) q^{91} +(1.93988 + 2.77044i) q^{92} +(3.67419 - 4.71924i) q^{93} -9.39947i q^{94} +(-9.27022 - 3.01048i) q^{95} +(-0.386763 + 1.68832i) q^{96} +(-11.9774 - 5.58514i) q^{97} +(-1.55177 + 1.08656i) q^{98} +(-15.2555 + 3.85866i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 480 q+O(q^{10}) \) 480 * q	\( 480 q - 36 q^{15} - 48 q^{18} + 24 q^{22} - 24 q^{25} + 72 q^{33} + 24 q^{43} - 36 q^{45} + 24 q^{51} - 120 q^{55} + 108 q^{57} - 48 q^{60} - 48 q^{61} - 36 q^{63} - 24 q^{66} + 48 q^{67} - 48 q^{70} - 48 q^{78} - 144 q^{81} - 48 q^{85} - 96 q^{87} - 168 q^{90} - 144 q^{91} - 228 q^{93} + 48 q^{97}+O(q^{100}) \) 480 * q - 36 * q^15 - 48 * q^18 + 24 * q^22 - 24 * q^25 + 72 * q^33 + 24 * q^43 - 36 * q^45 + 24 * q^51 - 120 * q^55 + 108 * q^57 - 48 * q^60 - 48 * q^61 - 36 * q^63 - 24 * q^66 + 48 * q^67 - 48 * q^70 - 48 * q^78 - 144 * q^81 - 48 * q^85 - 96 * q^87 - 168 * q^90 - 144 * q^91 - 228 * q^93 + 48 * q^97

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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