LMFDB - Embedded newform 570.2.bi.a.557.27

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			557.27
Character	$\chi$	$=$	570.557
Dual form			570.2.bi.a.263.27

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.0871557 - 0.996195i) q^{2} +(-0.891129 - 1.48522i) q^{3} +(-0.984808 - 0.173648i) q^{4} +(-0.408656 + 2.19841i) q^{5} +(-1.55724 + 0.758292i) q^{6} +(3.80635 - 1.01991i) q^{7} +(-0.258819 + 0.965926i) q^{8} +(-1.41178 + 2.64705i) q^{9} +O(q^{10})$	\(q+(0.0871557 - 0.996195i) q^{2} +(-0.891129 - 1.48522i) q^{3} +(-0.984808 - 0.173648i) q^{4} +(-0.408656 + 2.19841i) q^{5} +(-1.55724 + 0.758292i) q^{6} +(3.80635 - 1.01991i) q^{7} +(-0.258819 + 0.965926i) q^{8} +(-1.41178 + 2.64705i) q^{9} +(2.15443 + 0.598705i) q^{10} +(-0.467885 + 0.270133i) q^{11} +(0.619684 + 1.61740i) q^{12} +(2.48767 - 5.33483i) q^{13} +(-0.684282 - 3.88076i) q^{14} +(3.62929 - 1.35212i) q^{15} +(0.939693 + 0.342020i) q^{16} +(0.494562 - 5.65287i) q^{17} +(2.51393 + 1.63711i) q^{18} +(3.81136 - 2.11507i) q^{19} +(0.784197 - 2.09405i) q^{20} +(-4.90674 - 4.74441i) q^{21} +(0.228327 + 0.489648i) q^{22} +(-2.80841 + 1.96647i) q^{23} +(1.66526 - 0.476360i) q^{24} +(-4.66600 - 1.79679i) q^{25} +(-5.09772 - 2.94317i) q^{26} +(5.18954 - 0.262057i) q^{27} +(-3.92563 + 0.343448i) q^{28} +(-1.48373 - 1.24500i) q^{29} +(-1.03066 - 3.73333i) q^{30} +(-2.35545 + 4.07976i) q^{31} +(0.422618 - 0.906308i) q^{32} +(0.818154 + 0.454190i) q^{33} +(-5.58825 - 0.985360i) q^{34} +(0.686688 + 8.78471i) q^{35} +(1.84999 - 2.36168i) q^{36} +(4.99612 + 4.99612i) q^{37} +(-1.77484 - 3.98120i) q^{38} +(-10.1403 + 1.05927i) q^{39} +(-2.01773 - 0.963721i) q^{40} +(1.91970 - 5.27433i) q^{41} +(-5.15401 + 4.47457i) q^{42} +(-6.86497 - 4.80690i) q^{43} +(0.507685 - 0.184782i) q^{44} +(-5.24237 - 4.18540i) q^{45} +(1.71422 + 2.96911i) q^{46} +(3.09430 - 0.270716i) q^{47} +(-0.329411 - 1.70044i) q^{48} +(7.38592 - 4.26427i) q^{49} +(-2.19662 + 4.49165i) q^{50} +(-8.83649 + 4.30290i) q^{51} +(-3.37626 + 4.82181i) q^{52} +(8.11522 - 5.68234i) q^{53} +(0.191238 - 5.19263i) q^{54} +(-0.402660 - 1.13899i) q^{55} +3.94063i q^{56} +(-6.53776 - 3.77593i) q^{57} +(-1.36958 + 1.36958i) q^{58} +(3.68971 - 3.09603i) q^{59} +(-3.80895 + 0.701358i) q^{60} +(1.84789 - 10.4799i) q^{61} +(3.85895 + 2.70206i) q^{62} +(-2.67397 + 11.5155i) q^{63} +(-0.866025 - 0.500000i) q^{64} +(10.7115 + 7.64903i) q^{65} +(0.523768 - 0.775456i) q^{66} +(0.732166 + 8.36870i) q^{67} +(-1.46866 + 5.48111i) q^{68} +(5.42331 + 2.41874i) q^{69} +(8.81113 + 0.0815624i) q^{70} +(-0.213572 + 0.0376584i) q^{71} +(-2.19146 - 2.04878i) q^{72} +(-7.84218 + 3.65687i) q^{73} +(5.41254 - 4.54166i) q^{74} +(1.48938 + 8.53122i) q^{75} +(-4.12074 + 1.42110i) q^{76} +(-1.50542 + 1.50542i) q^{77} +(0.171460 + 10.1940i) q^{78} +(0.573661 - 1.57612i) q^{79} +(-1.13591 + 1.92606i) q^{80} +(-5.01376 - 7.47410i) q^{81} +(-5.08694 - 2.37208i) q^{82} +(-0.495677 + 0.132816i) q^{83} +(4.00834 + 5.52438i) q^{84} +(12.2252 + 3.39733i) q^{85} +(-5.38693 + 6.41990i) q^{86} +(-0.526905 + 3.31312i) q^{87} +(-0.139831 - 0.521858i) q^{88} +(-12.0104 + 4.37142i) q^{89} +(-4.62638 + 4.85764i) q^{90} +(4.02792 - 22.8435i) q^{91} +(3.10722 - 1.44892i) q^{92} +(8.15837 - 0.137221i) q^{93} -3.10612i q^{94} +(3.09225 + 9.24327i) q^{95} +(-1.72268 + 0.179954i) q^{96} +(1.85372 + 0.162180i) q^{97} +(-3.60431 - 7.72947i) q^{98} +(-0.0545073 - 1.61988i) 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 $\left(\mathbb{Z}/570\mathbb{Z}\right)^\times$.

$n$	$191$	$211$	$457$
$\chi(n)$	$-1$	$e\left(\frac{7}{9}\right)$	$e\left(\frac{1}{4}\right)$

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 $

$2$	0.0871557	−	0.996195i	0.0616284	−	0.704416i
$2$	0.0871557	−	0.996195i	0.0616284	−	0.704416i
$3$	−0.891129	−	1.48522i	−0.514494	−	0.857494i
$3$	−0.891129	−	1.48522i	−0.514494	−	0.857494i
$4$	−0.984808	−	0.173648i	−0.492404	−	0.0868241i
$5$	−0.408656	+	2.19841i	−0.182756	+	0.983158i
$5$	−0.408656	+	2.19841i	−0.182756	+	0.983158i
$6$	−1.55724	+	0.758292i	−0.635740	+	0.309571i
$7$	3.80635	−	1.01991i	1.43867	−	0.385489i	0.546600	−	0.837394i	$-0.315922\pi$
$7$	3.80635	−	1.01991i	1.43867	−	0.385489i	0.892066	+	0.451905i	$0.149255\pi$
$8$	−0.258819	+	0.965926i	−0.0915064	+	0.341506i
$9$	−1.41178	+	2.64705i	−0.470593	+	0.882350i
$10$	2.15443	+	0.598705i	0.681289	+	0.189327i
$11$	−0.467885	+	0.270133i	−0.141073	+	0.0814483i	−0.568875	−	0.822424i	$-0.692621\pi$
$11$	−0.467885	+	0.270133i	−0.141073	+	0.0814483i	0.427802	+	0.903872i	$0.359288\pi$
$12$	0.619684	+	1.61740i	0.178887	+	0.466904i
$13$	2.48767	−	5.33483i	0.689957	−	1.47962i	−0.178546	−	0.983932i	$-0.557139\pi$
$13$	2.48767	−	5.33483i	0.689957	−	1.47962i	0.868502	−	0.495685i	$-0.165083\pi$
$14$	−0.684282	−	3.88076i	−0.182882	−	1.03718i
$15$	3.62929	−	1.35212i	0.937080	−	0.349116i
$16$	0.939693	+	0.342020i	0.234923	+	0.0855050i
$17$	0.494562	−	5.65287i	0.119949	−	1.37102i	−0.662853	−	0.748750i	$-0.730654\pi$
$17$	0.494562	−	5.65287i	0.119949	−	1.37102i	0.782801	−	0.622272i	$-0.213790\pi$
$18$	2.51393	+	1.63711i	0.592540	+	0.385871i
$19$	3.81136	−	2.11507i	0.874387	−	0.485230i
$19$	3.81136	−	2.11507i	0.874387	−	0.485230i
$20$	0.784197	−	2.09405i	0.175352	−	0.468243i
$21$	−4.90674	−	4.74441i	−1.07074	−	1.03532i
$22$	0.228327	+	0.489648i	0.0486794	+	0.104393i
$23$	−2.80841	+	1.96647i	−0.585594	+	0.410038i	−0.828481	−	0.560017i	$-0.810795\pi$
$23$	−2.80841	+	1.96647i	−0.585594	+	0.410038i	0.242887	+	0.970055i	$0.421906\pi$
$24$	1.66526	−	0.476360i	0.339919	−	0.0972366i
$25$	−4.66600	−	1.79679i	−0.933200	−	0.359357i
$26$	−5.09772	−	2.94317i	−0.999745	−	0.577203i
$27$	5.18954	−	0.262057i	0.998727	−	0.0504329i
$28$	−3.92563	+	0.343448i	−0.741874	+	0.0649056i
$29$	−1.48373	−	1.24500i	−0.275522	−	0.231190i	0.494547	−	0.869151i	$-0.335334\pi$
$29$	−1.48373	−	1.24500i	−0.275522	−	0.231190i	−0.770069	+	0.637960i	$0.779778\pi$
$30$	−1.03066	−	3.73333i	−0.188172	−	0.681609i
$31$	−2.35545	+	4.07976i	−0.423052	+	0.732747i	−0.996236	−	0.0866791i	$-0.972375\pi$
$31$	−2.35545	+	4.07976i	−0.423052	+	0.732747i	0.573184	+	0.819426i	$0.305708\pi$
$32$	0.422618	−	0.906308i	0.0747091	−	0.160214i
$33$	0.818154	+	0.454190i	0.142422	+	0.0790643i
$34$	−5.58825	−	0.985360i	−0.958377	−	0.168988i
$35$	0.686688	+	8.78471i	0.116072	+	1.48489i
$36$	1.84999	−	2.36168i	0.308331	−	0.393614i
$37$	4.99612	+	4.99612i	0.821356	+	0.821356i	0.986303	−	0.164946i	$-0.0527450\pi$
$37$	4.99612	+	4.99612i	0.821356	+	0.821356i	−0.164946	+	0.986303i	$0.552745\pi$
$38$	−1.77484	−	3.98120i	−0.287917	−	0.645836i
$39$	−10.1403	+	1.05927i	−1.62374	+	0.169619i
$40$	−2.01773	−	0.963721i	−0.319031	−	0.152378i
$41$	1.91970	−	5.27433i	0.299806	−	0.823711i	−0.694725	−	0.719275i	$-0.744474\pi$
$41$	1.91970	−	5.27433i	0.299806	−	0.823711i	0.994532	−	0.104436i	$-0.0333038\pi$
$42$	−5.15401	+	4.47457i	−0.795281	+	0.690441i
$43$	−6.86497	−	4.80690i	−1.04690	−	0.733046i	−0.0822564	−	0.996611i	$-0.526213\pi$
$43$	−6.86497	−	4.80690i	−1.04690	−	0.733046i	−0.964642	+	0.263565i	$0.915102\pi$
$44$	0.507685	−	0.184782i	0.0765364	−	0.0278570i
$45$	−5.24237	−	4.18540i	−0.781486	−	0.623922i
$46$	1.71422	+	2.96911i	0.252748	+	0.437772i
$47$	3.09430	−	0.270716i	0.451350	−	0.0394880i	0.140785	−	0.990040i	$-0.455037\pi$
$47$	3.09430	−	0.270716i	0.451350	−	0.0394880i	0.310565	+	0.950552i	$0.399482\pi$
$48$	−0.329411	−	1.70044i	−0.0475464	−	0.245437i
$49$	7.38592	−	4.26427i	1.05513	−	0.609181i
$50$	−2.19662	+	4.49165i	−0.310649	+	0.635215i
$51$	−8.83649	+	4.30290i	−1.23736	+	0.602526i
$52$	−3.37626	+	4.82181i	−0.468204	+	0.668664i
$53$	8.11522	−	5.68234i	1.11471	−	0.780530i	0.137019	−	0.990568i	$-0.456248\pi$
$53$	8.11522	−	5.68234i	1.11471	−	0.780530i	0.977693	+	0.210039i	$0.0673591\pi$
$54$	0.191238	−	5.19263i	0.0260242	−	0.706628i
$55$	−0.402660	−	1.13899i	−0.0542946	−	0.153582i
$56$			3.94063i			0.526588i
$57$	−6.53776	−	3.77593i	−0.865948	−	0.500134i
$58$	−1.36958	+	1.36958i	−0.179834	+	0.179834i
$59$	3.68971	−	3.09603i	0.480359	−	0.403069i	−0.370197	−	0.928953i	$-0.620710\pi$
$59$	3.68971	−	3.09603i	0.480359	−	0.403069i	0.850556	+	0.525884i	$0.176265\pi$
$60$	−3.80895	+	0.701358i	−0.491733	+	0.0905449i
$61$	1.84789	−	10.4799i	0.236599	−	1.34182i	−0.602622	−	0.798027i	$-0.705877\pi$
$61$	1.84789	−	10.4799i	0.236599	−	1.34182i	0.839221	−	0.543791i	$-0.183012\pi$
$62$	3.85895	+	2.70206i	0.490087	+	0.343163i
$63$	−2.67397	+	11.5155i	−0.336889	+	1.45082i
$64$	−0.866025	−	0.500000i	−0.108253	−	0.0625000i
$65$	10.7115	+	7.64903i	1.32860	+	0.948746i
$66$	0.523768	−	0.775456i	0.0644714	−	0.0954520i
$67$	0.732166	+	8.36870i	0.0894484	+	1.02240i	0.899756	+	0.436394i	$0.143745\pi$
$67$	0.732166	+	8.36870i	0.0894484	+	1.02240i	−0.810307	+	0.586005i	$0.800700\pi$
$68$	−1.46866	+	5.48111i	−0.178101	+	0.664682i
$69$	5.42331	+	2.41874i	0.652889	+	0.291182i
$70$	8.81113	+	0.0815624i	1.05313	+	0.00974857i
$71$	−0.213572	+	0.0376584i	−0.0253463	+	0.00446924i	−0.186307	−	0.982492i	$-0.559652\pi$
$71$	−0.213572	+	0.0376584i	−0.0253463	+	0.00446924i	0.160961	+	0.986961i	$0.448541\pi$
$72$	−2.19146	−	2.04878i	−0.258266	−	0.241451i
$73$	−7.84218	+	3.65687i	−0.917857	+	0.428004i	−0.823359	−	0.567521i	$-0.807903\pi$
$73$	−7.84218	+	3.65687i	−0.917857	+	0.428004i	−0.0944986	+	0.995525i	$0.530125\pi$
$74$	5.41254	−	4.54166i	0.629196	−	0.527958i
$75$	1.48938	+	8.53122i	0.171979	+	0.985101i
$76$	−4.12074	+	1.42110i	−0.472681	+	0.163011i
$77$	−1.50542	+	1.50542i	−0.171559	+	0.171559i
$78$	0.171460	+	10.1940i	0.0194140	+	1.15424i
$79$	0.573661	−	1.57612i	0.0645419	−	0.177327i	−0.903229	−	0.429158i	$-0.858810\pi$
$79$	0.573661	−	1.57612i	0.0645419	−	0.177327i	0.967771	+	0.251831i	$0.0810326\pi$
$80$	−1.13591	+	1.92606i	−0.126999	+	0.215340i
$81$	−5.01376	−	7.47410i	−0.557085	−	0.830456i
$82$	−5.08694	−	2.37208i	−0.561759	−	0.261952i
$83$	−0.495677	+	0.132816i	−0.0544076	+	0.0145785i	−0.285920	−	0.958253i	$-0.592299\pi$
$83$	−0.495677	+	0.132816i	−0.0544076	+	0.0145785i	0.231513	+	0.972832i	$0.425633\pi$
$84$	4.00834	+	5.52438i	0.437346	+	0.602760i
$85$	12.2252	+	3.39733i	1.32601	+	0.368492i
$86$	−5.38693	+	6.41990i	−0.580888	+	0.692275i
$87$	−0.526905	+	3.31312i	−0.0564901	+	0.355204i
$88$	−0.139831	−	0.521858i	−0.0149061	−	0.0556302i
$89$	−12.0104	+	4.37142i	−1.27310	+	0.463369i	−0.888143	−	0.459567i	$-0.848005\pi$
$89$	−12.0104	+	4.37142i	−1.27310	+	0.463369i	−0.384953	+	0.922936i	$0.625782\pi$
$90$	−4.62638	+	4.85764i	−0.487663	+	0.512040i
$91$	4.02792	−	22.8435i	0.422240	−	2.39464i
$92$	3.10722	−	1.44892i	0.323950	−	0.151060i
$93$	8.15837	−	0.137221i	0.845984	−	0.0142292i
$94$		−	3.10612i		−	0.320371i
$95$	3.09225	+	9.24327i	0.317258	+	0.948339i
$96$	−1.72268	+	0.179954i	−0.175820	+	0.0183665i
$97$	1.85372	+	0.162180i	0.188217	+	0.0164668i	0.180874	−	0.983506i	$-0.442107\pi$
$97$	1.85372	+	0.162180i	0.188217	+	0.0164668i	0.00734241	+	0.999973i	$0.497663\pi$
$98$	−3.60431	−	7.72947i	−0.364091	−	0.780795i
$99$	−0.0545073	−	1.61988i	−0.00547819	−	0.162804i
$100$	4.28311	+	2.57973i	0.428311	+	0.257973i
$101$	2.24632	+	6.17172i	0.223517	+	0.614109i	0.999869	−	0.0161910i	$-0.00515399\pi$
$101$	2.24632	+	6.17172i	0.223517	+	0.614109i	−0.776351	+	0.630300i	$0.782932\pi$
$102$	3.51637	+	9.17789i	0.348173	+	0.908746i
$103$	12.7895	+	3.42695i	1.26019	+	0.337667i	0.826265	−	0.563281i	$-0.190461\pi$
$103$	12.7895	+	3.42695i	1.26019	+	0.337667i	0.433926	+	0.900948i	$0.357128\pi$
$104$	4.50920	+	3.78366i	0.442163	+	0.371019i
$105$	12.4353	−	8.84819i	1.21356	−	0.863495i
$106$	−4.95343	−	8.57959i	−0.481120	−	0.833324i
$107$	3.26677	+	12.1917i	0.315810	+	1.17862i	0.923233	+	0.384241i	$0.125537\pi$
$107$	3.26677	+	12.1917i	0.315810	+	1.17862i	−0.607422	+	0.794379i	$0.707796\pi$
$108$	−5.15621	−	0.643078i	−0.496156	−	0.0618802i
$109$	12.5307	−	2.20951i	1.20023	−	0.211633i	0.462431	−	0.886655i	$-0.346977\pi$
$109$	12.5307	−	2.20951i	1.20023	−	0.211633i	0.737797	+	0.675023i	$0.235866\pi$
$110$	−1.16975	+	0.301858i	−0.111532	+	0.0287810i
$111$	2.96817	−	11.8725i	0.281726	−	1.12689i
$112$	3.92563	+	0.343448i	0.370937	+	0.0324528i
$113$	−3.07124	−	3.07124i	−0.288918	−	0.288918i	0.547734	−	0.836652i	$-0.315490\pi$
$113$	−3.07124	−	3.07124i	−0.288918	−	0.288918i	−0.836652	+	0.547734i	$0.815490\pi$
$114$	−4.33136	+	6.18379i	−0.405669	+	0.579165i
$115$	−3.17543	−	6.97765i	−0.296111	−	0.650669i
$116$	1.24500	+	1.48373i	0.115595	+	0.137761i
$117$	10.6095	+	14.1166i	0.980852	+	1.30508i
$118$	−2.76267	−	3.94551i	−0.254325	−	0.363213i
$119$	−3.88293	−	22.0212i	−0.355948	−	2.01868i
$120$	0.366717	+	3.85558i	0.0334766	+	0.351965i
$121$	−5.35406	+	9.27350i	−0.486732	+	0.843045i
$122$	−10.2790	−	2.75425i	−0.930617	−	0.249358i
$123$	−9.54425	+	1.84892i	−0.860576	+	0.166712i
$124$	3.02811	−	3.60876i	0.271932	−	0.324076i
$125$	5.85686	−	9.52351i	0.523853	−	0.851809i
$126$	11.2386	+	3.66744i	1.00122	+	0.326722i
$127$	−0.131909	−	0.0615101i	−0.0117050	−	0.00545813i	0.416757	−	0.909018i	$-0.363167\pi$
$127$	−0.131909	−	0.0615101i	−0.0117050	−	0.00545813i	−0.428462	+	0.903560i	$0.640944\pi$
$128$	−0.573576	+	0.819152i	−0.0506975	+	0.0724035i
$129$	−1.02175	+	14.4796i	−0.0899604	+	1.27486i
$130$	8.55350	−	10.0041i	0.750192	−	0.877420i
$131$	3.73368	+	4.44963i	0.326213	+	0.388766i	0.904079	−	0.427366i	$-0.140559\pi$
$131$	3.73368	+	4.44963i	0.326213	+	0.388766i	−0.577865	+	0.816132i	$0.696114\pi$
$132$	−0.726856	−	0.589361i	−0.0632647	−	0.0512973i
$133$	12.3502	−	11.9379i	1.07090	−	1.03515i
$134$	8.40067			0.725707
$135$	−1.54463	+	11.5158i	−0.132940	+	0.991124i
$136$	5.33225	+	1.94078i	0.457236	+	0.166420i
$137$	6.30868	+	9.00973i	0.538987	+	0.769753i	0.992598	−	0.121447i	$-0.0387534\pi$
$137$	6.30868	+	9.00973i	0.538987	+	0.769753i	−0.453611	+	0.891200i	$0.649864\pi$
$138$	2.88221	−	5.19186i	0.245350	−	0.441961i
$139$	2.70873	+	7.44217i	0.229751	+	0.631236i	0.999979	−	0.00653302i	$-0.00207954\pi$
$139$	2.70873	+	7.44217i	0.229751	+	0.631236i	−0.770227	+	0.637769i	$0.779857\pi$
$140$	0.849193	−	8.77049i	0.0717699	−	0.741242i
$141$	−3.15949	−	4.35448i	−0.266077	−	0.366713i
$142$	0.0189011	+	0.216041i	0.00158615	+	0.0181298i
$143$	0.277172	+	3.16809i	0.0231783	+	0.264929i
$144$	−2.23198	+	2.00456i	−0.185999	+	0.167047i
$145$	3.34335	−	2.75307i	0.277650	−	0.228630i
$146$	2.95946	+	8.13105i	0.244927	+	0.672931i
$147$	−12.9152	−	7.16974i	−1.06523	−	0.591350i
$148$	−4.05265	−	5.78778i	−0.333126	−	0.475753i
$149$	−6.51695	−	2.37197i	−0.533889	−	0.194320i	0.0609850	−	0.998139i	$-0.480576\pi$
$149$	−6.51695	−	2.37197i	−0.533889	−	0.194320i	−0.594874	+	0.803819i	$0.702798\pi$
$150$	8.62857	−	0.740168i	0.704519	−	0.0604344i
$151$	−17.3539			−1.41224			−0.706120	−	0.708092i	$-0.749556\pi$
$151$	−17.3539			−1.41224			−0.706120	+	0.708092i	$0.749556\pi$
$152$	1.05654	+	4.22891i	0.0856971	+	0.343010i
$153$	14.2652	+	9.28973i	1.15327	+	0.751030i
$154$	1.36849	+	1.63090i	0.110276	+	0.131422i
$155$	−8.00642	−	6.84547i	−0.643091	−	0.549841i
$156$	10.1701	+	0.717658i	0.814263	+	0.0574586i
$157$	−9.35435	+	13.3594i	−0.746559	+	1.06620i	0.248666	+	0.968589i	$0.420008\pi$
$157$	−9.35435	+	13.3594i	−0.746559	+	1.06620i	−0.995225	+	0.0976072i	$0.968881\pi$
$158$	−1.52012	−	0.708846i	−0.120935	−	0.0563927i
$159$	−15.6713	−	6.98922i	−1.24281	−	0.554282i
$160$	1.81973	+	1.29946i	0.143862	+	0.102731i
$161$	−8.68418	+	10.3494i	−0.684410	+	0.815648i
$162$	−7.88264	+	4.34327i	−0.619319	+	0.341240i
$163$	−12.5594	−	3.36527i	−0.983725	−	0.263588i	−0.269113	−	0.963109i	$-0.586730\pi$
$163$	−12.5594	−	3.36527i	−0.983725	−	0.263588i	−0.714613	+	0.699520i	$0.753397\pi$
$164$	−2.80641	+	4.86084i	−0.219144	+	0.379568i
$165$	−1.33284	+	1.61303i	−0.103761	+	0.125574i
$166$	0.0891098	+	0.505367i	0.00691626	+	0.0392241i
$167$	3.32979	+	4.75543i	0.257667	+	0.367986i	0.927054	−	0.374927i	$-0.122332\pi$
$167$	3.32979	+	4.75543i	0.257667	+	0.367986i	−0.669387	+	0.742913i	$0.733443\pi$
$168$	5.85271	−	3.51161i	0.451546	−	0.270926i
$169$	−13.9157	−	16.5841i	−1.07044	−	1.27570i
$170$	4.44990	−	11.8826i	0.341291	−	0.911353i
$171$	0.217892	+	13.0749i	0.0166626	+	0.999861i
$172$	5.92596	+	5.92596i	0.451851	+	0.451851i
$173$	15.5206	+	1.35787i	1.18001	+	0.103237i	0.660229	−	0.751064i	$-0.270459\pi$
$173$	15.5206	+	1.35787i	1.18001	+	0.103237i	0.519778	+	0.854302i	$0.326015\pi$
$174$	3.25459	+	0.813658i	0.246730	+	0.0616832i
$175$	−19.5930	−	2.08030i	−1.48109	−	0.157256i
$176$	−0.532059	+	0.0938164i	−0.0401055	+	0.00707167i
$177$	−7.88631	−	2.72108i	−0.592771	−	0.204529i
$178$	3.30801	+	12.3457i	0.247946	+	0.925346i
$179$	6.76261	+	11.7132i	0.505461	+	0.875484i	0.999980	+	0.00631754i	$0.00201095\pi$
$179$	6.76261	+	11.7132i	0.505461	+	0.875484i	−0.494519	+	0.869167i	$0.664656\pi$
$180$	4.43594	+	5.03214i	0.330635	+	0.375074i
$181$	18.5743	+	15.5857i	1.38062	+	1.15848i	0.968983	+	0.247128i	$0.0794867\pi$
$181$	18.5743	+	15.5857i	1.38062	+	1.15848i	0.411635	+	0.911349i	$0.364958\pi$
$182$	−22.4055	−	6.00353i	−1.66080	−	0.445011i
$183$	−17.2118	+	6.59443i	−1.27233	+	0.487474i
$184$	−1.17259	−	3.22168i	−0.0864448	−	0.237505i
$185$	−13.0252	+	8.94181i	−0.957632	+	0.657415i
$186$	0.574350	−	8.13929i	0.0421134	−	0.596802i
$187$	1.29563	+	2.77849i	0.0947459	+	0.203183i
$188$	−3.09430	−	0.270716i	−0.225675	−	0.0197440i
$189$	19.4859	−	6.29034i	1.41739	−	0.457555i
$190$	9.47760	−	2.27488i	0.687578	−	0.165037i
$191$			9.73152i			0.704148i	0.935972	+	0.352074i	$0.114523\pi$
$191$			9.73152i			0.704148i	−0.935972	+	0.352074i	$0.885477\pi$
$192$	0.0291284	+	1.73181i	0.00210216	+	0.124982i
$193$	−6.33523	+	2.95417i	−0.456020	+	0.212646i	−0.637035	−	0.770835i	$-0.719839\pi$
$193$	−6.33523	+	2.95417i	−0.456020	+	0.212646i	0.181015	+	0.983480i	$0.442062\pi$
$194$	0.323125	−	1.83253i	0.0231990	−	0.131568i
$195$	1.81516	−	22.7253i	0.129986	−	1.62739i
$196$	−8.01420	+	2.91693i	−0.572443	+	0.208352i
$197$	4.27137	+	15.9410i	0.304322	+	1.13575i	0.933527	+	0.358507i	$0.116714\pi$
$197$	4.27137	+	15.9410i	0.304322	+	1.13575i	−0.629205	+	0.777239i	$0.716619\pi$
$198$	−1.61847	−	0.0868823i	−0.115020	−	0.00617445i
$199$	−16.4235	+	19.5727i	−1.16423	+	1.38747i	−0.257226	+	0.966351i	$0.582808\pi$
$199$	−16.4235	+	19.5727i	−1.16423	+	1.38747i	−0.907003	+	0.421123i	$0.861636\pi$
$200$	2.94321	−	4.04197i	0.208116	−	0.285810i
$201$	11.7769	−	8.54502i	0.830681	−	0.602719i
$202$	6.34402	−	1.69987i	0.446363	−	0.119603i
$203$	−6.91738	−	3.22563i	−0.485505	−	0.226395i
$204$	9.44943	−	2.70309i	0.661593	−	0.189254i
$205$	10.8106	+	6.37566i	0.755047	+	0.445296i
$206$	4.52859	−	12.4422i	0.315522	−	0.866889i
$207$	−1.24049	−	10.2102i	−0.0862204	−	0.709660i
$208$	4.16227	−	4.16227i	0.288601	−	0.288601i
$209$	−1.21193	+	2.01918i	−0.0838309	+	0.139670i
$210$	−7.73071	−	13.1592i	−0.533470	−	0.908070i
$211$	−0.877461	+	0.736277i	−0.0604069	+	0.0506874i	−0.672491	−	0.740105i	$-0.734776\pi$
$211$	−0.877461	+	0.736277i	−0.0604069	+	0.0506874i	0.612084	+	0.790792i	$0.290331\pi$
$212$	−8.97866	+	4.18682i	−0.616657	+	0.287552i
$213$	0.246251	+	0.283643i	0.0168728	+	0.0194349i
$214$	12.4301	−	2.19176i	0.849702	−	0.149825i
$215$	13.3729	−	13.1276i	0.912027	−	0.895297i
$216$	−1.09002	+	5.08054i	−0.0741667	+	0.345687i
$217$	−4.80469	+	17.9314i	−0.326164	+	1.21726i
$218$	−1.10897	−	12.6756i	−0.0751092	−	0.858502i
$219$	12.4197	+	8.38865i	0.839243	+	0.566852i
$220$	0.198758	+	1.19161i	0.0134003	+	0.0803384i
$221$	−28.9268	−	16.7009i	−1.94583	−	1.12342i
$222$	−11.5687	−	3.99163i	−0.776438	−	0.267901i
$223$	−17.2341	−	12.0675i	−1.15408	−	0.808096i	−0.169935	−	0.985455i	$-0.554356\pi$
$223$	−17.2341	−	12.0675i	−1.15408	−	0.808096i	−0.984146	+	0.177359i	$0.943245\pi$
$224$	0.684282	−	3.88076i	0.0457205	−	0.259294i
$225$	11.3435	−	9.81448i	0.756236	−	0.654299i
$226$	−3.32723	+	2.79187i	−0.221324	+	0.185713i
$227$	16.1379	−	16.1379i	1.07111	−	1.07111i	0.0738373	−	0.997270i	$-0.476475\pi$
$227$	16.1379	−	16.1379i	1.07111	−	1.07111i	0.997270	−	0.0738373i	$-0.0235246\pi$
$228$	5.78276	+	4.85383i	0.382972	+	0.321453i
$229$		−	3.29214i		−	0.217551i	−0.994066	−	0.108775i	$-0.965307\pi$
$229$		−	3.29214i		−	0.217551i	0.994066	−	0.108775i	$-0.0346929\pi$
$230$	−7.22785	+	2.55521i	−0.476591	+	0.168485i
$231$	3.57742	+	0.894364i	0.235377	+	0.0588448i
$232$	1.58659	−	1.11094i	0.104165	−	0.0729371i
$233$	16.4484	−	23.4908i	1.07757	−	1.53893i	0.257836	−	0.966189i	$-0.416991\pi$
$233$	16.4484	−	23.4908i	1.07757	−	1.53893i	0.819735	−	0.572743i	$-0.194121\pi$
$234$	14.9876	−	9.33882i	0.979768	−	0.610498i
$235$	−0.669358	+	6.91316i	−0.0436641	+	0.450965i
$236$	−4.17128	+	2.40829i	−0.271527	+	0.156766i
$237$	−2.85210	+	0.552511i	−0.185264	+	0.0358895i
$238$	−22.2758	+	1.94888i	−1.44393	+	0.126327i
$239$	0.526737	+	0.912335i	0.0340718	+	0.0590140i	0.882558	−	0.470203i	$-0.155819\pi$
$239$	0.526737	+	0.912335i	0.0340718	+	0.0590140i	−0.848487	+	0.529217i	$0.822486\pi$
$240$	3.87287	−	0.0292858i	0.249993	−	0.00189039i
$241$	−4.73866	+	1.72473i	−0.305244	+	0.111100i	−0.490101	−	0.871666i	$-0.663040\pi$
$241$	−4.73866	+	1.72473i	−0.305244	+	0.111100i	0.184857	+	0.982765i	$0.440818\pi$
$242$	8.77157	+	6.14192i	0.563858	+	0.394818i
$243$	−6.63280	+	14.1069i	−0.425494	+	0.904961i
$244$	−3.63964	+	9.99983i	−0.233004	+	0.640174i
$245$	6.35630	+	17.9799i	0.406089	+	1.14869i
$246$	1.01005	+	9.66908i	0.0643986	+	0.616478i
$247$	−1.80210	−	25.5946i	−0.114665	−	1.62854i
$248$	−3.33111	−	3.33111i	−0.211526	−	0.211526i
$249$	0.638974	+	0.617835i	0.0404933	+	0.0391537i
$250$	−8.97681	−	6.66460i	−0.567743	−	0.421506i
$251$	−20.0005	−	3.52664i	−1.26242	−	0.222599i	−0.497922	−	0.867222i	$-0.665904\pi$
$251$	−20.0005	−	3.52664i	−1.26242	−	0.222599i	−0.764501	+	0.644622i	$0.777015\pi$
$252$	4.63300	−	10.8762i	0.291851	−	0.685137i
$253$	0.782804	−	1.67873i	0.0492145	−	0.105541i
$254$	−0.0727726	+	0.126046i	−0.00456616	+	0.00790882i
$255$	−5.84844	−	21.1846i	−0.366244	−	1.32663i
$256$	0.766044	+	0.642788i	0.0478778	+	0.0401742i
$257$	−12.6789	+	1.10926i	−0.790888	+	0.0691937i	−0.475439	−	0.879749i	$-0.657711\pi$
$257$	−12.6789	+	1.10926i	−0.790888	+	0.0691937i	−0.315449	+	0.948943i	$0.602155\pi$
$258$	14.3354	+	2.27984i	0.892485	+	0.141937i
$259$	24.1126	+	13.9214i	1.49828	+	0.865033i
$260$	−9.22057	−	9.39287i	−0.571835	−	0.582521i
$261$	5.39027	−	2.16985i	0.333649	−	0.134310i
$262$	4.75811	−	3.33166i	0.293957	−	0.205831i
$263$	−0.831305	−	1.78274i	−0.0512604	−	0.109928i	0.879009	−	0.476805i	$-0.158205\pi$
$263$	−0.831305	−	1.78274i	−0.0512604	−	0.109928i	−0.930270	+	0.366876i	$0.880427\pi$
$264$	−0.650468	+	0.672723i	−0.0400335	+	0.0414033i
$265$	9.17577	+	20.1627i	0.563663	+	1.23858i
$266$	−10.8161	−	13.3437i	−0.663179	−	0.818153i
$267$	17.1953	+	13.9426i	1.05234	+	0.853272i
$268$	0.732166	−	8.36870i	0.0447242	−	0.511200i
$269$	−23.3897	−	8.51314i	−1.42609	−	0.519056i	−0.490284	−	0.871563i	$-0.663107\pi$
$269$	−23.3897	−	8.51314i	−1.42609	−	0.519056i	−0.935809	+	0.352507i	$0.885329\pi$
$270$	11.3374	+	2.54242i	0.689971	+	0.154727i
$271$	2.26449	+	12.8426i	0.137558	+	0.780131i	0.973044	+	0.230619i	$0.0740751\pi$
$271$	2.26449	+	12.8426i	0.137558	+	0.780131i	−0.835486	+	0.549512i	$0.814814\pi$
$272$	2.39813	−	5.14281i	0.145408	−	0.311828i
$273$	−37.5170	+	14.3741i	−2.27063	+	0.869960i
$274$	9.52528	−	5.49942i	0.575443	−	0.332232i
$275$	2.66852	−	0.419754i	0.160918	−	0.0253121i
$276$	−4.92091	−	3.32374i	−0.296204	−	0.200066i
$277$	8.08087	−	30.1582i	0.485533	−	1.81203i	−0.0921184	−	0.995748i	$-0.529364\pi$
$277$	8.08087	−	30.1582i	0.485533	−	1.81203i	0.577651	−	0.816284i	$-0.303970\pi$
$278$	7.64993	−	2.04979i	0.458812	−	0.122938i
$279$	−7.47397	−	11.9947i	−0.447455	−	0.718106i
$280$	−8.66311	−	1.61036i	−0.517720	−	0.0962374i
$281$	11.9492	+	2.10697i	0.712831	+	0.125691i	0.518292	−	0.855203i	$-0.326568\pi$
$281$	11.9492	+	2.10697i	0.712831	+	0.125691i	0.194539	+	0.980895i	$0.437679\pi$
$282$	−4.61328	+	2.76795i	−0.274717	+	0.164829i
$283$	−2.14965	+	24.5707i	−0.127784	+	1.46057i	0.613666	+	0.789566i	$0.289694\pi$
$283$	−2.14965	+	24.5707i	−0.127784	+	1.46057i	−0.741450	+	0.671008i	$0.765861\pi$
$284$	0.216866			0.0128687
$285$	10.9727	−	12.8296i	0.649968	−	0.759961i
$286$	3.18019			0.188049
$287$	1.92771	−	22.0339i	0.113789	−	1.30062i
$288$	1.80240	+	2.39820i	0.106207	+	0.141315i
$289$	−14.9686	−	2.63936i	−0.880505	−	0.155257i
$290$	−2.45120	−	3.57057i	−0.143940	−	0.209671i
$291$	−1.41103	−	2.89771i	−0.0827161	−	0.169867i
$292$	8.35805	−	2.23953i	0.489118	−	0.131059i
$293$	−5.71459	+	21.3272i	−0.333850	+	1.24595i	0.571260	+	0.820769i	$0.306455\pi$
$293$	−5.71459	+	21.3272i	−0.333850	+	1.24595i	−0.905110	+	0.425177i	$0.860212\pi$
$294$	−8.26809	+	12.2412i	−0.482205	+	0.713919i
$295$	5.29853	+	9.37670i	0.308492	+	0.545933i
$296$	−6.11897	+	3.53279i	−0.355658	+	0.205339i
$297$	−2.35732	+	1.52448i	−0.136785	+	0.0884594i
$298$	−2.93094	+	6.28541i	−0.169785	+	0.364104i
$299$	3.50438	+	19.8744i	0.202664	+	1.14936i
$300$	0.0146779	−	8.66024i	0.000847427	−	0.499999i
$301$	−31.0331	−	11.2951i	−1.78872	−	0.651040i
$302$	−1.51249	+	17.2879i	−0.0870341	+	0.994805i
$303$	7.16462	−	8.83609i	0.411597	−	0.507620i
$304$	4.30491	−	0.683950i	0.246903	−	0.0392272i
$305$	22.2840	+	8.34511i	1.27598	+	0.477840i
$306$	10.4977	−	13.4013i	0.600112	−	0.766100i
$307$	0.895587	+	1.92059i	0.0511139	+	0.109614i	0.930206	−	0.367038i	$-0.119628\pi$
$307$	0.895587	+	1.92059i	0.0511139	+	0.109614i	−0.879092	+	0.476652i	$0.841850\pi$
$308$	1.74397	−	1.22114i	0.0993717	−	0.0695808i
$309$	−6.30735	−	22.0492i	−0.358813	−	1.25433i
$310$	−7.51722	+	7.37933i	−0.426950	+	0.419118i
$311$	25.6407	+	14.8036i	1.45395	+	0.839437i	0.998702	−	0.0509286i	$-0.0162181\pi$
$311$	25.6407	+	14.8036i	1.45395	+	0.839437i	0.455246	+	0.890366i	$0.349551\pi$
$312$	1.60131	−	10.0689i	0.0906565	−	0.570039i
$313$	0.503162	−	0.0440209i	0.0284404	−	0.00248821i	−0.0729267	−	0.997337i	$-0.523234\pi$
$313$	0.503162	−	0.0440209i	0.0284404	−	0.00248821i	0.101367	+	0.994849i	$0.467678\pi$
$314$	12.4933	+	10.4831i	0.705037	+	0.591596i
$315$	−24.2230	−	10.5844i	−1.36481	−	0.596361i
$316$	−0.838636	+	1.45256i	−0.0471769	+	0.0817129i
$317$	11.2263	−	24.0748i	0.630529	−	1.35217i	−0.288308	−	0.957538i	$-0.593093\pi$
$317$	11.2263	−	24.0748i	0.630529	−	1.35217i	0.918837	−	0.394636i	$-0.129129\pi$
$318$	−8.32847	+	15.0025i	−0.467037	+	0.841297i
$319$	1.03053	+	0.181710i	0.0576986	+	0.0101738i
$320$	1.45311	−	1.69955i	0.0812314	−	0.0950077i
$321$	15.1964	−	15.7163i	0.848178	−	0.877198i
$322$	9.55315	+	9.55315i	0.532376	+	0.532376i
$323$	−10.0712	−	22.5912i	−0.560379	−	1.25701i
$324$	3.63973	+	8.23118i	0.202207	+	0.457288i
$325$	−21.1930	+	20.4225i	−1.17558	+	1.13284i
$326$	−4.44709	+	12.2183i	−0.246301	+	0.676707i
$327$	−14.4481	−	16.6420i	−0.798983	−	0.920305i
$328$	4.59775	+	3.21938i	0.253868	+	0.177761i
$329$	11.5019	−	4.18634i	0.634119	−	0.230800i
$330$	1.49073	+	1.46835i	0.0820619	+	0.0808301i
$331$	4.81975	+	8.34804i	0.264917	+	0.458850i	0.967542	−	0.252711i	$-0.0813221\pi$
$331$	4.81975	+	8.34804i	0.264917	+	0.458850i	−0.702625	+	0.711561i	$0.747989\pi$
$332$	0.511210	−	0.0447251i	0.0280563	−	0.00245461i
$333$	−20.2784	+	6.17157i	−1.11125	+	0.338200i
$334$	5.02755	−	2.90266i	0.275095	−	0.158826i
$335$	−18.6970	−	1.81032i	−1.02153	−	0.0989082i
$336$	−2.98815	−	6.13650i	−0.163017	−	0.334773i
$337$	−7.08101	+	10.1127i	−0.385727	+	0.550875i	−0.964319	−	0.264742i	$-0.914713\pi$
$337$	−7.08101	+	10.1127i	−0.385727	+	0.550875i	0.578592	+	0.815617i	$0.303602\pi$
$338$	−17.7338	+	12.4173i	−0.964591	+	0.675414i
$339$	−1.82461	+	7.29834i	−0.0990990	+	0.396392i
$340$	−11.4495	−	5.46860i	−0.620938	−	0.296576i
$341$		−	2.54515i		−	0.137827i
$342$	13.0441	+	0.922488i	0.705345	+	0.0498825i
$343$	4.25916	−	4.25916i	0.229973	−	0.229973i
$344$	6.41990	−	5.38693i	0.346138	−	0.290444i
$345$	−7.53365	+	10.9342i	−0.405598	+	0.588678i
$346$	2.70541	−	15.3432i	0.145444	−	0.824853i
$347$	−11.2550	−	7.88082i	−0.604199	−	0.423065i	0.231046	−	0.972943i	$-0.425785\pi$
$347$	−11.2550	−	7.88082i	−0.604199	−	0.423065i	−0.835245	+	0.549878i	$0.814674\pi$
$348$	1.09422	−	3.17129i	0.0586562	−	0.169999i
$349$	−13.1316	−	7.58155i	−0.702920	−	0.405831i	0.105514	−	0.994418i	$-0.466351\pi$
$349$	−13.1316	−	7.58155i	−0.702920	−	0.405831i	−0.808434	+	0.588587i	$0.799685\pi$
$350$	−3.78003	+	19.3371i	−0.202051	+	1.03361i
$351$	11.5119	−	28.3372i	0.614457	−	1.51253i
$352$	0.0470874	+	0.538211i	0.00250977	+	0.0286867i
$353$	0.160742	−	0.599899i	0.00855546	−	0.0319294i	−0.961516	−	0.274748i	$-0.911405\pi$
$353$	0.160742	−	0.599899i	0.00855546	−	0.0319294i	0.970072	+	0.242819i	$0.0780721\pi$
$354$	−3.39806	+	7.61914i	−0.180605	+	0.404953i
$355$	0.00448866	−	0.484907i	0.000238233	−	0.0257362i
$356$	12.5870	−	2.21943i	0.667109	−	0.117629i
$357$	−29.2462	+	25.3908i	−1.54787	+	1.34382i
$358$	12.2580	−	5.71600i	0.647856	−	0.302100i
$359$	−28.0170	+	23.5091i	−1.47868	+	1.24076i	−0.571106	+	0.820876i	$0.693485\pi$
$359$	−28.0170	+	23.5091i	−1.47868	+	1.24076i	−0.907577	+	0.419886i	$0.862070\pi$
$360$	5.39961	−	3.98048i	0.284584	−	0.209790i
$361$	10.0530	−	16.1226i	0.529104	−	0.848557i
$362$	17.1453	−	17.1453i	0.901135	−	0.901135i
$363$	18.5444	−	0.311911i	0.973327	−	0.0163711i
$364$	−7.93345	+	21.7970i	−0.415826	+	1.14247i
$365$	−4.83454	−	18.7347i	−0.253051	−	0.980620i
$366$	5.06924	+	17.7210i	0.264973	+	0.926292i
$367$	−18.3560	−	8.55955i	−0.958176	−	0.446805i	−0.120343	−	0.992732i	$-0.538400\pi$
$367$	−18.3560	−	8.55955i	−0.958176	−	0.446805i	−0.837832	+	0.545928i	$0.816177\pi$
$368$	−3.31162	+	0.887345i	−0.172630	+	0.0462561i
$369$	11.2512	+	12.5277i	0.585715	+	0.652167i
$370$	7.77257	+	13.7550i	0.404076	+	0.715086i
$371$	25.0939	−	29.9058i	1.30281	−	1.55263i
$372$	−8.05826	−	1.28155i	−0.417801	−	0.0664453i
$373$	−2.29391	−	8.56098i	−0.118774	−	0.443271i	0.880767	−	0.473549i	$-0.157027\pi$
$373$	−2.29391	−	8.56098i	−0.118774	−	0.443271i	−0.999542	+	0.0302782i	$0.990361\pi$
$374$	2.88084	−	1.04854i	0.148965	−	0.0542187i
$375$	−19.3638	−	0.212068i	−0.999940	−	0.0109511i
$376$	−0.539371	+	3.05893i	−0.0278160	+	0.157752i
$377$	−10.3329	+	4.81831i	−0.532171	+	0.248155i
$378$	−4.56809	−	19.9600i	−0.234957	−	1.02663i
$379$			11.1017i			0.570257i	0.958489	+	0.285128i	$0.0920362\pi$
$379$			11.1017i			0.570257i	−0.958489	+	0.285128i	$0.907964\pi$
$380$	−1.44019	−	9.63981i	−0.0738803	−	0.494512i
$381$	0.0261915	+	0.250727i	0.00134183	+	0.0128452i
$382$	9.69449	+	0.848158i	0.496013	+	0.0433955i
$383$	2.73685	+	5.86919i	0.139846	+	0.299902i	0.963740	−	0.266843i	$-0.0859804\pi$
$383$	2.73685	+	5.86919i	0.139846	+	0.299902i	−0.823894	+	0.566745i	$0.808203\pi$
$384$	1.72775	+	0.121919i	0.0881691	+	0.00622166i
$385$	−2.69434	−	3.92474i	−0.137316	−	0.200023i
$386$	2.39077	+	6.56860i	0.121687	+	0.334333i
$387$	22.4159	−	11.3856i	1.13947	−	0.578765i
$388$	−1.79740	−	0.481611i	−0.0912489	−	0.0244501i
$389$	−22.3140	−	18.7237i	−1.13136	−	0.949328i	−0.132242	−	0.991217i	$-0.542218\pi$
$389$	−22.3140	−	18.7237i	−1.13136	−	0.949328i	−0.999122	+	0.0418897i	$0.986662\pi$
$390$	−22.4806	−	3.78890i	−1.13835	−	0.191858i
$391$	9.72727	+	16.8481i	0.491929	+	0.852046i
$392$	2.20735	+	8.23793i	0.111488	+	0.416078i
$393$	3.28150	−	9.51054i	0.165530	−	0.479743i
$394$	16.2526	−	2.86577i	0.818793	−	0.144375i
$395$	3.23053	+	1.90523i	0.162545	+	0.0958626i
$396$	−0.227611	+	1.60474i	−0.0114379	+	0.0806412i
$397$	−0.745226	−	0.0651989i	−0.0374018	−	0.00327224i	0.0684395	−	0.997655i	$-0.478198\pi$
$397$	−0.745226	−	0.0651989i	−0.0374018	−	0.00327224i	−0.105841	+	0.994383i	$0.533754\pi$
$398$	18.0669	+	18.0669i	0.905610	+	0.905610i
$399$	−28.7361	−	7.70459i	−1.43861	−	0.385712i
$400$	−3.77007	−	3.28429i	−0.188503	−	0.164215i
$401$	−12.3873	−	14.7627i	−0.618594	−	0.737212i	0.362234	−	0.932087i	$-0.382014\pi$
$401$	−12.3873	−	14.7627i	−0.618594	−	0.737212i	−0.980828	+	0.194876i	$0.937570\pi$
$402$	−7.48608	−	12.4769i	−0.373372	−	0.622290i
$403$	15.9053	+	22.7151i	0.792298	+	1.13152i
$404$	−1.14049	−	6.46803i	−0.0567414	−	0.321796i
$405$	18.4800	−	7.96796i	0.918280	−	0.395931i
$406$	−3.81624	+	6.60993i	−0.189397	+	0.328045i
$407$	−3.68723	−	0.987989i	−0.182769	−	0.0489728i
$408$	−1.86923	−	9.64907i	−0.0925406	−	0.477700i
$409$	23.2021	−	27.6512i	1.14727	−	1.36726i	0.227986	−	0.973664i	$-0.426786\pi$
$409$	23.2021	−	27.6512i	1.14727	−	1.36726i	0.919283	−	0.393598i	$-0.128770\pi$
$410$	7.29361	−	10.2138i	0.360206	−	0.504424i
$411$	7.75961	−	17.3986i	0.382754	−	0.858211i
$412$	−12.0002	−	5.59577i	−0.591206	−	0.275684i
$413$	10.8867	−	15.5478i	0.535698	−	0.765056i
$414$	−10.2795	+	0.345894i	−0.505210	+	0.0169998i
$415$	−0.0894231	−	1.14398i	−0.00438961	−	0.0561556i
$416$	−3.78366	−	4.50920i	−0.185509	−	0.221082i
$417$	8.63946	−	10.6550i	0.423076	−	0.521777i
$418$	1.90587	+	1.38330i	0.0932194	+	0.0676594i
$419$	18.6260			0.909940			0.454970	−	0.890507i	$-0.349650\pi$
$419$	18.6260			0.909940			0.454970	+	0.890507i	$0.349650\pi$
$420$	−13.7829	+	6.55440i	−0.672536	+	0.319822i
$421$	23.2256	+	8.45342i	1.13195	+	0.411995i	0.838998	−	0.544134i	$-0.183142\pi$
$421$	23.2256	+	8.45342i	1.13195	+	0.411995i	0.292947	+	0.956129i	$0.405364\pi$
$422$	0.656999	+	0.938292i	0.0319822	+	0.0456754i
$423$	−3.65186	+	8.57295i	−0.177560	+	0.416831i
$424$	3.38835	+	9.30940i	0.164553	+	0.452105i
$425$	−12.4646	+	25.4877i	−0.604623	+	1.23633i
$426$	0.304026	−	0.220593i	0.0147301	−	0.0106878i
$427$	−3.65484	−	41.7750i	−0.176870	−	2.02163i
$428$	−1.10006	−	12.5738i	−0.0531736	−	0.607777i
$429$	4.45833	−	3.23484i	0.215250	−	0.156180i
$430$	−11.9122	−	14.4662i	−0.574455	−	0.697622i
$431$	−0.641549	−	1.76264i	−0.0309024	−	0.0849035i	0.923282	−	0.384123i	$-0.125496\pi$
$431$	−0.641549	−	1.76264i	−0.0309024	−	0.0849035i	−0.954184	+	0.299219i	$0.903274\pi$
$432$	4.96620	+	1.52867i	0.238936	+	0.0735484i
$433$	15.1085	+	21.5772i	0.726070	+	1.03694i	0.997228	+	0.0744008i	$0.0237044\pi$
$433$	15.1085	+	21.5772i	0.726070	+	1.03694i	−0.271158	+	0.962535i	$0.587407\pi$
$434$	17.4444	+	6.34923i	0.837357	+	0.304773i
$435$	−7.06828	−	2.51228i	−0.338898	−	0.120455i
$436$	−12.7241			−0.609372
$437$	−6.54466	+	13.4349i	−0.313074	+	0.642679i
$438$	9.43917	−	11.6413i	0.451021	−	0.556242i
$439$	−5.79376	−	6.90474i	−0.276521	−	0.329545i	0.609853	−	0.792514i	$-0.291228\pi$
$439$	−5.79376	−	6.90474i	−0.276521	−	0.329545i	−0.886374	+	0.462969i	$0.846784\pi$
$440$	1.20440	−	0.0941462i	0.0574175	−	0.00448825i
$441$	0.860440	+	25.5711i	0.0409733	+	1.21767i
$442$	−19.1585	+	27.3611i	−0.911276	+	1.30144i
$443$	22.7265	+	10.5975i	1.07977	+	0.503504i	0.879335	−	0.476203i	$-0.157987\pi$
$443$	22.7265	+	10.5975i	1.07977	+	0.503504i	0.200433	+	0.979707i	$0.435765\pi$
$444$	−4.98472	+	11.1767i	−0.236564	+	0.530425i
$445$	−4.70205	−	28.1901i	−0.222899	−	1.33634i
$446$	−13.5236	+	16.1168i	−0.640360	+	0.763152i
$447$	2.28453	+	11.7929i	0.108054	+	0.557783i
$448$	−3.80635	−	1.01991i	−0.179833	−	0.0481862i
$449$	−2.52683	+	4.37659i	−0.119248	+	0.206544i	−0.919470	−	0.393160i	$-0.871382\pi$
$449$	−2.52683	+	4.37659i	−0.119248	+	0.206544i	0.800222	+	0.599704i	$0.204715\pi$
$450$	−8.78848	−	12.1558i	−0.414293	−	0.573028i
$451$	0.526574	+	2.98635i	0.0247954	+	0.140622i
$452$	2.49126	+	3.55789i	0.117179	+	0.167349i
$453$	15.4646	+	25.7744i	0.726588	+	1.21099i
$454$	−14.6699	−	17.4830i	−0.688495	−	0.820516i
$455$	48.5732	+	18.1901i	2.27715	+	0.852766i
$456$	5.33937	−	5.33771i	0.250039	−	0.249961i
$457$	5.05214	+	5.05214i	0.236329	+	0.236329i	0.815328	−	0.578999i	$-0.196557\pi$
$457$	5.05214	+	5.05214i	0.236329	+	0.236329i	−0.578999	+	0.815328i	$0.696557\pi$
$458$	−3.27961	−	0.286929i	−0.153246	−	0.0134073i
$459$	1.08517	−	29.4654i	0.0506516	−	1.37533i
$460$	1.91554	+	7.42305i	0.0893123	+	0.346101i
$461$	−13.3490	+	2.35378i	−0.621723	+	0.109627i	−0.475632	−	0.879645i	$-0.657781\pi$
$461$	−13.3490	+	2.35378i	−0.621723	+	0.109627i	−0.146091	+	0.989271i	$0.546669\pi$
$462$	1.20275	−	3.48585i	0.0559571	−	0.162177i
$463$	−6.79095	−	25.3442i	−0.315602	−	1.17784i	−0.923427	−	0.383773i	$-0.874625\pi$
$463$	−6.79095	−	25.3442i	−0.315602	−	1.17784i	0.607825	−	0.794071i	$-0.292042\pi$
$464$	−0.968436	−	1.67738i	−0.0449585	−	0.0778704i
$465$	−3.03230	+	17.9915i	−0.140619	+	0.834337i
$466$	−21.9678	−	18.4332i	−1.01764	−	0.853900i
$467$	16.1728	+	4.33348i	0.748387	+	0.200530i	0.612803	−	0.790236i	$-0.290042\pi$
$467$	16.1728	+	4.33348i	0.748387	+	0.200530i	0.135585	+	0.990766i	$0.456709\pi$
$468$	−7.99703	−	15.7445i	−0.369663	−	0.727788i
$469$	11.3222	+	31.1075i	0.522810	+	1.43641i
$470$	6.82851	+	1.26933i	0.314976	+	0.0585500i
$471$	28.1776	+	1.98836i	1.29836	+	0.0916187i
$472$	2.03557	+	4.36530i	0.0936948	+	0.200929i
$473$	4.51052	+	0.394619i	0.207394	+	0.0181446i
$474$	0.301832	+	2.88940i	0.0138636	+	0.132714i
$475$	−21.5841	+	3.02071i	−0.990349	+	0.138599i
$476$			22.3609i			1.02491i
$477$	3.58455	+	29.5036i	0.164125	+	1.35088i
$478$	0.954771	−	0.445217i	0.0436702	−	0.0203638i
$479$	−2.68352	+	15.2190i	−0.122613	+	0.695373i	0.860084	+	0.510152i	$0.170411\pi$
$479$	−2.68352	+	15.2190i	−0.122613	+	0.695373i	−0.982697	+	0.185220i	$0.940700\pi$
$480$	0.308369	−	3.86069i	0.0140750	−	0.176215i
$481$	39.0822	−	14.2247i	1.78199	−	0.648592i
$482$	1.30517	+	4.87095i	0.0594488	+	0.221866i
$483$	23.1099	+	3.67530i	1.05154	+	0.167232i
$484$	6.88304	−	8.20289i	0.312866	−	0.372859i
$485$	−1.11407	+	4.00896i	−0.0505873	+	0.182037i
$486$	13.4752	+	7.83706i	0.611246	+	0.355496i
$487$	7.80956	−	2.09257i	0.353885	−	0.0948232i	−0.0774969	−	0.996993i	$-0.524693\pi$
$487$	7.80956	−	2.09257i	0.353885	−	0.0948232i	0.431382	+	0.902169i	$0.358026\pi$
$488$	9.64457	+	4.49733i	0.436589	+	0.203585i
$489$	6.19383	+	21.6524i	0.280095	+	0.979153i
$490$	18.4655	−	4.76506i	0.834185	−	0.215263i
$491$	−10.5402	+	28.9589i	−0.475671	+	1.30690i	0.437463	+	0.899237i	$0.355877\pi$
$491$	−10.5402	+	28.9589i	−0.475671	+	1.30690i	−0.913134	+	0.407660i	$0.866345\pi$
$492$	9.72031	−	0.163493i	0.438226	−	0.00737082i
$493$	−7.77160	+	7.77160i	−0.350015	+	0.350015i
$494$	−25.6543	−	0.435468i	−1.15424	−	0.0195926i
$495$	3.58344	+	0.542146i	0.161064	+	0.0243676i
$496$	−3.60876	+	3.02811i	−0.162038	+	0.135966i
$497$	−0.774521	+	0.361165i	−0.0347420	+	0.0162005i
$498$	0.671174	−	0.582695i	0.0300760	−	0.0261112i
$499$	8.25635	−	1.45582i	0.369605	−	0.0651713i	0.0142391	−	0.999899i	$-0.495467\pi$
$499$	8.25635	−	1.45582i	0.369605	−	0.0651713i	0.355366	+	0.934727i	$0.384356\pi$
$500$	−7.42162	+	8.36179i	−0.331905	+	0.373951i
$501$	4.09561	−	9.18319i	0.182978	−	0.410274i
$502$	−5.25638	+	19.6171i	−0.234604	+	0.875553i
$503$	3.75685	+	42.9410i	0.167510	+	1.91464i	0.359326	+	0.933212i	$0.383007\pi$
$503$	3.75685	+	42.9410i	0.167510	+	1.91464i	−0.191816	+	0.981431i	$0.561438\pi$
$504$	−10.4310	−	5.56329i	−0.464635	−	0.247809i
$505$	−14.4859	+	2.41623i	−0.644616	+	0.107521i
$506$	−1.60411	−	0.926136i	−0.0713116	−	0.0411718i
$507$	−12.2304	+	35.4465i	−0.543170	+	1.57423i
$508$	0.119224	+	0.0834813i	0.00528969	+	0.00370388i
$509$	7.35153	−	41.6926i	0.325851	−	1.84799i	−0.177778	−	0.984071i	$-0.556891\pi$
$509$	7.35153	−	41.6926i	0.325851	−	1.84799i	0.503628	−	0.863920i	$-0.331998\pi$
$510$	−21.6137	+	3.97983i	−0.957072	+	0.176230i
$511$	−26.1204	+	21.9176i	−1.15550	+	0.969579i
$512$	0.707107	−	0.707107i	0.0312500	−	0.0312500i
$513$	19.2250	−	11.9750i	0.848802	−	0.528710i
$514$			12.7273i			0.561378i
$515$	−12.7604	+	26.7162i	−0.562289	+	1.17726i
$516$	3.52058	−	14.0822i	0.154985	−	0.619933i
$517$	−1.37465	+	0.962537i	−0.0604568	+	0.0423323i
$518$	15.9700	−	22.8075i	0.701680	−	1.00210i
$519$	−11.8141	−	24.2615i	−0.518580	−	1.06496i
$520$	−10.1608	+	8.36684i	−0.445578	+	0.366910i
$521$	−13.3719	+	7.72028i	−0.585835	+	0.338232i	−0.763449	−	0.645868i	$-0.776495\pi$
$521$	−13.3719	+	7.72028i	−0.585835	+	0.338232i	0.177614	+	0.984100i	$0.443162\pi$
$522$	−1.69180	−	5.55887i	−0.0740481	−	0.243305i
$523$	0.894716	−	0.0782775i	0.0391232	−	0.00342284i	−0.0675773	−	0.997714i	$-0.521527\pi$
$523$	0.894716	−	0.0782775i	0.0391232	−	0.00342284i	0.106701	+	0.994291i	$0.465971\pi$
$524$	−2.90429	−	5.03037i	−0.126874	−	0.219753i
$525$	14.3702	+	30.9538i	0.627166	+	1.35093i
$526$	−1.84841	+	0.672765i	−0.0805944	+	0.0293340i
$527$	21.8974	+	15.3328i	0.953868	+	0.667905i
$528$	0.613472	+	0.706624i	0.0266979	+	0.0307519i
$529$	−3.84629	+	10.5676i	−0.167230	+	0.459461i
$530$	20.8857	−	7.38356i	0.907217	−	0.320721i
$531$	2.98631	+	14.1378i	0.129595	+	0.613527i
$532$	−14.2356	+	9.61198i	−0.617191	+	0.416732i
$533$	−23.3621	−	23.3621i	−1.01192	−	1.01192i
$534$	15.3882	−	15.9147i	0.665913	−	0.688697i
$535$	−28.1374	+	2.19946i	−1.21649	+	0.0950911i
$536$	−8.27304	−	1.45876i	−0.357341	−	0.0630089i
$537$	11.3703	−	20.4819i	0.490666	−	0.883861i
$538$	−10.5193	+	22.5587i	−0.453519	+	0.972575i
$539$	−2.30384	+	3.99037i	−0.0992335	+	0.171877i
$540$	3.52086	−	11.0726i	0.151514	−	0.476491i
$541$	0.598588	+	0.502275i	0.0257353	+	0.0215945i	0.655565	−	0.755139i	$-0.272431\pi$
$541$	0.598588	+	0.502275i	0.0257353	+	0.0215945i	−0.629829	+	0.776734i	$0.716875\pi$
$542$	12.9911	−	1.13657i	0.558014	−	0.0488199i
$543$	6.59614	−	41.4759i	0.283068	−	1.77990i
$544$	−4.91423	−	2.83723i	−0.210696	−	0.121645i
$545$	−0.263360	+	28.4506i	−0.0112811	+	1.21869i
$546$	11.0496	+	38.6271i	0.472878	+	1.65309i
$547$	14.8686	−	10.4111i	0.635736	−	0.445147i	−0.210763	−	0.977537i	$-0.567595\pi$
$547$	14.8686	−	10.4111i	0.635736	−	0.445147i	0.846499	+	0.532390i	$0.178706\pi$
$548$	−4.64831	−	9.96834i	−0.198566	−	0.425826i
$549$	25.1321	+	19.6868i	1.07261	+	0.840213i
$550$	−0.185580	−	2.69495i	−0.00791315	−	0.114913i
$551$	−8.28829	−	1.60695i	−0.353093	−	0.0684583i
$552$	−3.73998	+	4.61250i	−0.159184	+	0.196321i
$553$	0.576056	−	6.58435i	0.0244964	−	0.279995i
$554$	−29.3392	−	10.6786i	−1.24650	−	0.453690i
$555$	24.8877	+	11.3770i	1.05642	+	0.482928i
$556$	−1.37526	−	7.79947i	−0.0583239	−	0.330771i
$557$	15.7753	−	33.8302i	0.668419	−	1.43343i	−0.220509	−	0.975385i	$-0.570772\pi$
$557$	15.7753	−	33.8302i	0.668419	−	1.43343i	0.888929	−	0.458045i	$-0.151450\pi$
$558$	−12.6005	+	6.40012i	−0.533421	+	0.270939i
$559$	−42.7218	+	24.6655i	−1.80694	+	1.04324i
$560$	−2.35927	+	8.48979i	−0.0996974	+	0.358759i
$561$	2.97210	−	4.40029i	0.125482	−	0.185781i
$562$	3.14040	−	11.7201i	0.132470	−	0.494384i
$563$	1.10971	−	0.297346i	0.0467688	−	0.0125317i	−0.235359	−	0.971909i	$-0.575627\pi$
$563$	1.10971	−	0.297346i	0.0467688	−	0.0125317i	0.282128	+	0.959377i	$0.408960\pi$
$564$	2.35534	+	4.83697i	0.0991779	+	0.203673i
$565$	8.00691	−	5.49676i	0.336853	−	0.231250i
$566$	24.2898	+	4.28295i	1.02098	+	0.180026i
$567$	−26.7070	−	23.3355i	−1.12159	−	0.979998i
$568$	0.0189011	−	0.216041i	0.000793075	−	0.00906488i
$569$	−22.1912			−0.930305			−0.465152	−	0.885231i	$-0.654000\pi$
$569$	−22.1912			−0.930305			−0.465152	+	0.885231i	$0.654000\pi$
$570$	−11.8245	−	12.0492i	−0.495272	−	0.504683i
$571$	6.09318			0.254992			0.127496	−	0.991839i	$-0.459306\pi$
$571$	6.09318			0.254992			0.127496	+	0.991839i	$0.459306\pi$
$572$	0.277172	−	3.16809i	0.0115891	−	0.132465i
$573$	14.4535	−	8.67204i	0.603803	−	0.362280i
$574$	−21.7820	−	3.84075i	−0.909163	−	0.160310i
$575$	16.6374	−	4.12944i	0.693827	−	0.172210i
$576$	2.54616	−	1.58652i	0.106090	−	0.0661052i
$577$	6.44708	−	1.72749i	0.268396	−	0.0719164i	−0.122111	−	0.992516i	$-0.538966\pi$
$577$	6.44708	−	1.72749i	0.268396	−	0.0719164i	0.390507	+	0.920600i	$0.372300\pi$
$578$	−3.93392	+	14.6816i	−0.163629	+	0.610673i
$579$	10.0331	+	6.77669i	0.416962	+	0.281630i
$580$	−3.77062	+	2.13068i	−0.156567	+	0.0884716i
$581$	−1.75126	+	1.01109i	−0.0726546	+	0.0419471i
$582$	−3.00966	+	1.15311i	−0.124755	+	0.0477979i
$583$	−2.26200	+	4.85088i	−0.0936825	+	0.200903i
$584$	−1.50256	−	8.52143i	−0.0621763	−	0.352619i
$585$	−35.3697	+	17.5553i	−1.46236	+	0.725821i
$586$	20.7479	+	7.55163i	0.857089	+	0.311955i
$587$	1.71776	−	19.6341i	0.0708996	−	0.810386i	−0.874617	−	0.484814i	$-0.838887\pi$
$587$	1.71776	−	19.6341i	0.0708996	−	0.810386i	0.945517	−	0.325573i	$-0.105557\pi$
$588$	11.4740	+	9.30352i	0.473179	+	0.383670i
$589$	−0.348510	+	20.5314i	−0.0143601	+	0.845982i
$590$	9.80282	−	4.46113i	0.403576	−	0.183662i
$591$	19.8695	−	20.5494i	0.817324	−	0.845289i
$592$	2.98604	+	6.40359i	0.122726	+	0.263186i
$593$	22.2142	−	15.5545i	0.912226	−	0.638747i	−0.0203221	−	0.999793i	$-0.506469\pi$
$593$	22.2142	−	15.5545i	0.912226	−	0.638747i	0.932548	+	0.361046i	$0.117580\pi$
$594$	1.31323	+	2.48121i	0.0538823	+	0.101805i
$595$	49.9984	+	0.462823i	2.04973	+	0.0189739i
$596$	6.00605	+	3.46759i	0.246017	+	0.142038i
$597$	43.7053	+	6.95070i	1.78874	+	0.284473i
$598$	20.1042	−	1.75889i	0.822120	−	0.0719262i
$599$	−8.70265	−	7.30239i	−0.355581	−	0.298368i	0.447446	−	0.894311i	$-0.352334\pi$
$599$	−8.70265	−	7.30239i	−0.355581	−	0.298368i	−0.803026	+	0.595944i	$0.796778\pi$
$600$	−8.62601	−	0.769412i	−0.352155	−	0.0314111i
$601$	−12.8669	+	22.2862i	−0.524852	+	0.909071i	0.474729	+	0.880132i	$0.342546\pi$
$601$	−12.8669	+	22.2862i	−0.524852	+	0.909071i	−0.999581	+	0.0289390i	$0.990787\pi$
$602$	−13.9569	+	29.9306i	−0.568839	+	1.21988i
$603$	−23.1860	−	9.87667i	−0.944208	−	0.402209i
$604$	17.0903	+	3.01347i	0.695393	+	0.122616i
$605$	−18.1990	−	15.5601i	−0.739893	−	0.632607i
$606$	−8.17803	−	7.90748i	−0.332210	−	0.321219i
$607$	−15.7383	−	15.7383i	−0.638798	−	0.638798i	0.311461	−	0.950259i	$-0.399182\pi$
$607$	−15.7383	−	15.7383i	−0.638798	−	0.638798i	−0.950259	+	0.311461i	$0.899182\pi$
$608$	−0.306150	−	4.34813i	−0.0124160	−	0.176340i
$609$	1.37350	+	13.1483i	0.0556570	+	0.532797i
$610$	10.2555	−	21.4719i	0.415235	−	0.869372i
$611$	6.25338	−	17.1810i	0.252985	−	0.695069i
$612$	−12.4354	−	11.6257i	−0.502669	−	0.469942i
$613$	15.0104	+	10.5104i	0.606263	+	0.424510i	0.835990	−	0.548745i	$-0.184894\pi$
$613$	15.0104	+	10.5104i	0.606263	+	0.424510i	−0.229727	+	0.973255i	$0.573783\pi$
$614$	1.99134	−	0.724789i	0.0803640	−	0.0292501i
$615$	−0.164376	−	21.7377i	−0.00662827	−	0.876550i
$616$	−1.06449	−	1.84376i	−0.0428897	−	0.0742872i
$617$	18.2577	−	1.59734i	0.735027	−	0.0643065i	0.286505	−	0.958079i	$-0.407506\pi$
$617$	18.2577	−	1.59734i	0.735027	−	0.0643065i	0.448521	+	0.893772i	$0.351951\pi$
$618$	−22.5150	+	4.36164i	−0.905687	+	0.175451i
$619$	−9.47538	+	5.47061i	−0.380848	+	0.219883i	−0.678187	−	0.734889i	$-0.737234\pi$
$619$	−9.47538	+	5.47061i	−0.380848	+	0.219883i	0.297339	+	0.954772i	$0.403901\pi$
$620$	6.69608	+	8.13177i	0.268921	+	0.326580i
$621$	−14.0590	+	10.9410i	−0.564170	+	0.439049i
$622$	16.9820	−	24.2529i	0.680918	−	0.972451i
$623$	−41.2572	+	28.8886i	−1.65294	+	1.15740i
$624$	−9.89102	−	2.47278i	−0.395958	−	0.0989905i
$625$	18.5431	+	16.7676i	0.741725	+	0.670704i
$626$		−	0.505084i		−	0.0201872i
$627$	4.07893		0.000631181i	0.162897		2.52069e-5i
$628$	11.5321	−	11.5321i	0.460180	−	0.460180i
$629$	30.7133	−	25.7715i	1.22462	−	1.02758i
$630$	−12.6553	+	23.2084i	−0.504198	+	0.924643i
$631$	−3.97599	+	22.5489i	−0.158282	+	0.897659i	0.797443	+	0.603395i	$0.206186\pi$
$631$	−3.97599	+	22.5489i	−0.158282	+	0.897659i	−0.955724	+	0.294264i	$0.904925\pi$
$632$	1.37394	+	0.962043i	0.0546524	+	0.0382680i
$633$	1.87547	+	0.647108i	0.0745431	+	0.0257202i
$634$	−23.0047	−	13.2818i	−0.913635	−	0.527487i
$635$	0.189130	−	0.264853i	0.00750538	−	0.0105104i
$636$	14.2195	+	9.60433i	0.563840	+	0.380836i
$637$	−4.37538	−	50.0108i	−0.173359	−	1.98150i
$638$	0.270836	−	1.01077i	0.0107225	−	0.0400168i
$639$	0.201832	−	0.618501i	0.00798435	−	0.0244675i
$640$	−1.56644	−	1.59571i	−0.0619188	−	0.0630758i
$641$	−10.5572	+	1.86152i	−0.416984	+	0.0735255i	−0.378204	−	0.925722i	$-0.623458\pi$
$641$	−10.5572	+	1.86152i	−0.416984	+	0.0735255i	−0.0387797	+	0.999248i	$0.512347\pi$
$642$	−14.3320	−	16.5083i	−0.565641	−	0.651531i
$643$	2.75046	−	1.28256i	0.108467	−	0.0505792i	−0.367627	−	0.929973i	$-0.619830\pi$
$643$	2.75046	−	1.28256i	0.108467	−	0.0505792i	0.476095	+	0.879394i	$0.342052\pi$
$644$	10.3494	−	8.68418i	0.407824	−	0.342205i
$645$	−31.4145	−	8.16340i	−1.23694	−	0.321434i
$646$	−23.3830	+	8.06397i	−0.919990	+	0.317273i
$647$	−10.1217	+	10.1217i	−0.397923	+	0.397923i	−0.877500	−	0.479577i	$-0.840790\pi$
$647$	−10.1217	+	10.1217i	−0.397923	+	0.397923i	0.479577	+	0.877500i	$0.340790\pi$
$648$	8.51708	−	2.90848i	0.334583	−	0.114256i
$649$	−0.890017	+	2.44530i	−0.0349362	+	0.0959865i
$650$	18.4977	+	22.8923i	0.725540	+	0.897911i
$651$	30.9137	−	8.84311i	1.21160	−	0.346589i
$652$	11.7842	+	5.49506i	0.461504	+	0.215203i
$653$	−19.8872	+	5.32876i	−0.778246	+	0.208530i	−0.626011	−	0.779814i	$-0.715314\pi$
$653$	−19.8872	+	5.32876i	−0.778246	+	0.208530i	−0.152235	+	0.988344i	$0.548647\pi$
$654$	−17.8379	+	12.9427i	−0.697518	+	0.506100i
$655$	−11.3079	+	6.38979i	−0.441836	+	0.249670i
$656$	3.60785	−	4.29967i	0.140863	−	0.167874i
$657$	1.39150	−	25.9213i	0.0542877	−	1.01129i
$658$	−3.16796	−	11.8230i	−0.123500	−	0.460907i
$659$	−27.5638	+	10.0324i	−1.07373	+	0.390807i	−0.817571	−	0.575827i	$-0.804680\pi$
$659$	−27.5638	+	10.0324i	−1.07373	+	0.390807i	−0.256161	+	0.966634i	$0.582458\pi$
$660$	1.59269	−	1.35708i	0.0619954	−	0.0528243i
$661$	0.479316	−	2.71834i	0.0186432	−	0.105731i	−0.974066	−	0.226263i	$-0.927349\pi$
$661$	0.479316	−	2.71834i	0.0186432	−	0.105731i	0.992709	+	0.120532i	$0.0384601\pi$
$662$	8.73635	−	4.07382i	0.339548	−	0.158334i
$663$	0.972942	+	57.8454i	0.0377859	+	2.24653i
$664$		−	0.513163i		−	0.0199146i
$665$	21.1975	+	32.0293i	0.822003	+	1.24204i
$666$	4.38070	+	20.7391i	0.169749	+	0.803624i
$667$	6.61518	+	0.578753i	0.256141	+	0.0224094i
$668$	−2.45343	−	5.26140i	−0.0949261	−	0.203570i
$669$	−2.56505	+	36.3502i	−0.0991707	+	1.40538i
$670$	−3.43298	+	18.4681i	−0.132628	+	0.713485i
$671$	1.96638	+	5.40258i	0.0759112	+	0.208564i
$672$	−6.37358	+	2.44194i	−0.245866	+	0.0942000i
$673$	−10.2504	−	2.74657i	−0.395122	−	0.105873i	0.0557866	−	0.998443i	$-0.482233\pi$
$673$	−10.2504	−	2.74657i	−0.395122	−	0.105873i	−0.450909	+	0.892570i	$0.648900\pi$
$674$	9.45709	+	7.93544i	0.364274	+	0.305662i
$675$	−24.6853	−	8.10173i	−0.950136	−	0.311836i
$676$	10.8245	+	18.7486i	0.416326	+	0.721098i
$677$	5.13751	+	19.1734i	0.197450	+	0.736895i	0.991619	+	0.129197i	$0.0412401\pi$
$677$	5.13751	+	19.1734i	0.197450	+	0.736895i	−0.794168	+	0.607698i	$0.792093\pi$
$678$	7.11155	+	2.45376i	0.273117	+	0.0942359i
$679$	7.22132	−	1.27331i	0.277129	−	0.0488653i
$680$	−6.44568	+	10.9293i	−0.247181	+	0.419121i
$681$	−38.3493	−	9.58742i	−1.46955	−	0.367391i
$682$	−2.53546	−	0.221824i	−0.0970878	−	0.00849409i
$683$	−3.91138	−	3.91138i	−0.149665	−	0.149665i	0.628303	−	0.777968i	$-0.283750\pi$
$683$	−3.91138	−	3.91138i	−0.149665	−	0.149665i	−0.777968	+	0.628303i	$0.783750\pi$
$684$	2.05585	−	12.9141i	0.0786073	−	0.493782i
$685$	−22.3851	+	10.1872i	−0.855292	+	0.389232i
$686$	−3.87175	−	4.61417i	−0.147824	−	0.176170i
$687$	−4.88956	+	2.93372i	−0.186548	+	0.111928i
$688$	−4.80690	−	6.86497i	−0.183261	−	0.261724i
$689$	−10.1263	−	57.4292i	−0.385782	−	2.18788i
$690$	10.2360	+	8.45796i	0.389678	+	0.321989i
$691$	7.45546	−	12.9132i	0.283619	−	0.491243i	−0.688654	−	0.725090i	$-0.741798\pi$
$691$	7.45546	−	12.9132i	0.283619	−	0.491243i	0.972273	+	0.233847i	$0.0751316\pi$
$692$	−15.0490	−	4.03236i	−0.572076	−	0.153287i
$693$	−1.85961	−	6.11026i	−0.0706407	−	0.232109i
$694$	−8.83177	+	10.5253i	−0.335249	+	0.399535i
$695$	−17.4679	+	2.91360i	−0.662594	+	0.110519i
$696$	−3.06386	−	1.36645i	−0.116135	−	0.0517952i
$697$	−28.8657	−	13.4603i	−1.09336	−	0.509844i
$698$	−8.69720	+	12.4209i	−0.329194	+	0.470137i
$699$	−49.5467	−	3.49627i	−1.87403	−	0.132241i
$700$	18.9341	+	5.45099i	0.715642	+	0.206028i
$701$	−3.73702	−	4.45360i	−0.141145	−	0.168210i	0.690841	−	0.723007i	$-0.257241\pi$
$701$	−3.73702	−	4.45360i	−0.141145	−	0.168210i	−0.831986	+	0.554797i	$0.812796\pi$
$702$	−27.2261	−	13.9378i	−1.02758	−	0.526048i
$703$	29.6091	+	8.47489i	1.11673	+	0.319637i
$704$	0.540267			0.0203621
$705$	10.8641	−	5.16637i	0.409165	−	0.194577i
$706$	−0.583607	−	0.212415i	−0.0219643	−	0.00799436i
$707$	14.8449	+	21.2007i	0.558300	+	0.797334i
$708$	7.29399	+	4.04918i	0.274125	+	0.152178i
$709$	−10.4948	−	28.8342i	−0.394140	−	1.08289i	−0.965093	−	0.261909i	$-0.915648\pi$
$709$	−10.4948	−	28.8342i	−0.394140	−	1.08289i	0.570952	−	0.820983i	$-0.306574\pi$
$710$	−0.482671	−	0.0467340i	−0.0181143	−	0.00175390i
$711$	3.36219	+	3.74364i	0.126092	+	0.140398i
$712$	−1.11395	−	12.7325i	−0.0417471	−	0.477172i
$713$	−1.40766	−	16.0896i	−0.0527172	−	0.602560i
$714$	22.7452	+	31.3479i	0.851216	+	1.17317i
$715$	−7.07803	−	0.685322i	−0.264703	−	0.0256296i
$716$	−4.62590	−	12.7095i	−0.172878	−	0.474978i
$717$	0.885631	−	1.59533i	0.0330745	−	0.0595787i
$718$	20.9778	+	29.9594i	0.782884	+	1.11807i
$719$	43.8056	+	15.9439i	1.63367	+	0.594608i	0.985916	−	0.167239i	$-0.0534850\pi$
$719$	43.8056	+	15.9439i	1.63367	+	0.594608i	0.647757	+	0.761847i	$0.275707\pi$
$720$	−3.49472	−	5.72598i	−0.130241	−	0.213395i
$721$	52.1767			1.94316
$722$	−15.1851	−	11.4199i	−0.565129	−	0.425005i
$723$	6.78437	+	5.50102i	0.252314	+	0.204585i
$724$	−15.5857	−	18.5743i	−0.579238	−	0.690309i
$725$	4.68609	+	8.47510i	0.174037	+	0.314757i
$726$	1.30552	−	18.5010i	0.0484526	−	0.686636i
$727$	2.54445	−	3.63385i	0.0943685	−	0.134772i	−0.769191	−	0.639018i	$-0.779341\pi$
$727$	2.54445	−	3.63385i	0.0943685	−	0.134772i	0.863560	+	0.504246i	$0.168230\pi$
$728$	21.0226	+	9.80299i	0.779149	+	0.363323i
$729$	26.8627	−	2.71991i	0.994913	−	0.100737i
$730$	−19.0848	+	3.18330i	−0.706359	+	0.117819i
$731$	−30.5679	+	36.4294i	−1.13060	+	1.34739i
$732$	18.0954	−	3.50546i	0.668824	−	0.129565i
$733$	21.3218	+	5.71316i	0.787538	+	0.211020i	0.630106	−	0.776509i	$-0.283012\pi$
$733$	21.3218	+	5.71316i	0.787538	+	0.211020i	0.157433	+	0.987530i	$0.449678\pi$
$734$	−10.1268	+	17.5401i	−0.373787	+	0.647418i
$735$	21.0399	−	25.4629i	0.776068	−	0.939214i
$736$	0.595342	+	3.37635i	0.0219446	+	0.124454i
$737$	−2.60324	−	3.71781i	−0.0958914	−	0.136947i
$738$	13.4607	−	10.1165i	0.495494	−	0.372395i
$739$	−13.0289	−	15.5273i	−0.479276	−	0.571179i	0.471180	−	0.882037i	$-0.343828\pi$
$739$	−13.0289	−	15.5273i	−0.479276	−	0.571179i	−0.950456	+	0.310858i	$0.899384\pi$
$740$	14.3800	−	6.54416i	0.528621	−	0.240568i
$741$	−36.4078	+	25.4846i	−1.33747	+	0.936200i
$742$	−27.6049	−	27.6049i	−1.01341	−	1.01341i
$743$	35.8283	+	3.13457i	1.31441	+	0.114996i	0.722706	−	0.691156i	$-0.242898\pi$
$743$	35.8283	+	3.13457i	1.31441	+	0.114996i	0.591709	+	0.806152i	$0.298454\pi$
$744$	−1.97900	+	7.91590i	−0.0725535	+	0.290211i
$745$	7.87776	−	13.3576i	0.288619	−	0.489384i
$746$	−8.72833	+	1.53904i	−0.319567	+	0.0563483i
$747$	0.348215	−	1.49959i	0.0127405	−	0.0548671i
$748$	−0.793468	−	2.96126i	−0.0290120	−	0.108274i
$749$	24.8689	+	43.0743i	0.908691	+	1.57390i
$750$	−1.89892	+	19.2716i	−0.0693389	+	0.703699i
$751$	21.0713	+	17.6810i	0.768904	+	0.645187i	0.940428	−	0.339993i	$-0.110425\pi$
$751$	21.0713	+	17.6810i	0.768904	+	0.645187i	−0.171524	+	0.985180i	$0.554869\pi$
$752$	3.00028	+	0.803922i	0.109409	+	0.0293160i
$753$	12.5852	+	32.8480i	0.458631	+	1.19705i
$754$	3.89940	+	10.7135i	0.142008	+	0.390163i
$755$	7.09177	−	38.1510i	0.258096	−	1.38846i
$756$	−20.2822	+	2.81108i	−0.737657	+	0.102238i
$757$	10.5151	+	22.5497i	0.382178	+	0.819584i	0.999461	+	0.0328423i	$0.0104559\pi$
$757$	10.5151	+	22.5497i	0.382178	+	0.819584i	−0.617282	+	0.786742i	$0.711766\pi$
$758$	11.0595	+	0.967578i	0.401698	+	0.0351440i
$759$	−3.19087	+	0.333325i	−0.115821	+	0.0120989i
$760$	−9.72864	+	0.594547i	−0.352895	+	0.0215665i
$761$			14.7009i			0.532907i	0.963848	+	0.266453i	$0.0858518\pi$
$761$			14.7009i			0.532907i	−0.963848	+	0.266453i	$0.914148\pi$
$762$	0.252056	−	0.00423951i	0.00913103	−	0.000153581i
$763$	45.4429	−	21.1904i	1.64514	−	0.767144i
$764$	1.68986	−	9.58368i	0.0611370	−	0.346725i
$765$	−26.2522	+	27.5645i	−0.949150	+	0.996596i
$766$	6.08539	−	2.21490i	0.219874	−	0.0800276i
$767$	−7.33803	−	27.3859i	−0.264961	−	0.988848i
$768$	0.272039	−	1.71055i	0.00981636	−	0.0617243i
$769$	6.78043	−	8.08060i	0.244509	−	0.291394i	−0.629807	−	0.776751i	$-0.716866\pi$
$769$	6.78043	−	8.08060i	0.244509	−	0.291394i	0.874316	+	0.485358i	$0.161311\pi$
$770$	−4.14463	+	2.34202i	−0.149362	+	0.0844005i
$771$	12.9460	+	17.8425i	0.466240	+	0.642582i
$772$	6.75197	−	1.80918i	0.243009	−	0.0651140i
$773$	−43.0315	−	20.0659i	−1.54773	−	0.721721i	−0.553899	−	0.832584i	$-0.686861\pi$
$773$	−43.0315	−	20.0659i	−1.54773	−	0.721721i	−0.993836	+	0.110863i	$0.964638\pi$
$774$	−9.38864	−	23.3230i	−0.337468	−	0.838326i
$775$	18.3210	−	14.8039i	0.658110	−	0.531773i
$776$	−0.636431	+	1.74858i	−0.0228466	+	0.0627704i
$777$	−0.811017	−	48.2183i	−0.0290951	−	1.72982i
$778$	−20.5972	+	20.5972i	−0.738446	+	0.738446i
$779$	−3.83889	−	24.1627i	−0.137543	−	0.865717i
$780$	−5.73379	+	22.0649i	−0.205303	+	0.790049i
$781$	0.0897541	−	0.0753127i	0.00321166	−	0.00269490i
$782$	17.6318	−	8.22184i	0.630512	−	0.294012i
$783$	−8.02614	−	6.07214i	−0.286831	−	0.217001i
$784$	8.39896	−	1.48096i	0.299963	−	0.0528916i
$785$	−25.5467	−	26.0241i	−0.911801	−	0.928840i
$786$	−9.18835	−	4.09791i	−0.327738	−	0.146168i
$787$	6.14799	−	22.9446i	0.219152	−	0.817888i	−0.765511	−	0.643423i	$-0.777514\pi$
$787$	6.14799	−	22.9446i	0.219152	−	0.817888i	0.984663	−	0.174465i	$-0.0558196\pi$
$788$	−1.43836	−	16.4405i	−0.0512393	−	0.585668i
$789$	−1.90697	+	2.82332i	−0.0678898	+	0.100513i
$790$	2.17954	−	3.05218i	0.0775446	−	0.108592i
$791$	−14.8226	−	8.55783i	−0.527031	−	0.304281i
$792$	1.57880	+	0.366607i	0.0561000	+	0.0130268i
$793$	−51.3117	−	35.9289i	−1.82213	−	1.27587i
$794$	−0.129902	+	0.736708i	−0.00461003	+	0.0261448i
$795$	21.7693	−	31.5956i	0.772078	−	1.12058i
$796$	19.5727	−	16.4235i	0.693737	−	0.582115i
$797$	24.2492	−	24.2492i	0.858951	−	0.858951i	−0.132264	−	0.991215i	$-0.542225\pi$
$797$	24.2492	−	24.2492i	0.858951	−	0.858951i	0.991215	+	0.132264i	$0.0422246\pi$
$798$	−10.1798	+	27.9553i	−0.360361	+	0.989606i
$799$		−	17.6255i		−	0.623547i
$800$	−3.60038	+	3.46948i	−0.127293	+	0.122665i
$801$	5.38462	−	37.9635i	0.190256	−	1.34138i
$802$	−15.7861	+	11.0535i	−0.557427	+	0.390314i
$803$	2.68139	−	3.82943i	0.0946243	−	0.135138i
$804$	−13.0818	+	6.37016i	−0.461361	+	0.224658i
$805$	−19.2034	−	23.3207i	−0.676830	−	0.821948i
$806$	24.0149	−	13.8650i	0.845888	−	0.488373i
$807$	8.19929	+	42.3252i	0.288629	+	1.48992i
$808$	−6.54282	+	0.572422i	−0.230175	+	0.0201377i
$809$	−7.82424	−	13.5520i	−0.275086	−	0.476462i	0.695071	−	0.718941i	$-0.255373\pi$
$809$	−7.82424	−	13.5520i	−0.275086	−	0.476462i	−0.970157	+	0.242479i	$0.922040\pi$
$810$	−6.32700	−	19.1042i	−0.222308	−	0.671252i
$811$	16.7815	−	6.10798i	0.589280	−	0.214480i	−0.0301328	−	0.999546i	$-0.509593\pi$
$811$	16.7815	−	6.10798i	0.589280	−	0.214480i	0.619413	+	0.785066i	$0.287371\pi$
$812$	6.25217	+	4.37782i	0.219408	+	0.153631i
$813$	17.0561	−	14.8077i	0.598185	−	0.519327i
$814$	−1.30559	+	3.58709i	−0.0457610	+	0.125727i
$815$	12.5307	−	26.2354i	0.438931	−	0.918985i
$816$	−9.77526	+	1.02114i	−0.342203	+	0.0357472i
$817$	−36.3318	−	3.80098i	−1.27109	−	0.132979i
$818$	−25.5237	−	25.5237i	−0.892417	−	0.892417i
$819$	54.7813	+	42.9120i	1.91421	+	1.49947i
$820$	−9.53927	−	8.15605i	−0.333126	−	0.284822i
$821$	−49.1610	−	8.66841i	−1.71573	−	0.302530i	−0.772586	−	0.634910i	$-0.781037\pi$
$821$	−49.1610	−	8.66841i	−1.71573	−	0.302530i	−0.943145	+	0.332381i	$0.892148\pi$
$822$	−16.6561	−	9.24648i	−0.580949	−	0.322508i
$823$	16.9035	−	36.2498i	0.589220	−	1.26359i	−0.355183	−	0.934797i	$-0.615581\pi$
$823$	16.9035	−	36.2498i	0.589220	−	1.26359i	0.944403	−	0.328790i	$-0.106641\pi$
$824$	−6.62036	+	11.4668i	−0.230631	+	0.399465i
$825$	−3.00143	−	3.58930i	−0.104496	−	0.124963i
$826$	−14.5398	−	12.2003i	−0.505903	−	0.424503i
$827$	−48.1270	+	4.21057i	−1.67354	+	0.146416i	−0.884064	−	0.467366i	$-0.845203\pi$
$827$	−48.1270	+	4.21057i	−1.67354	+	0.146416i	−0.789476	+	0.613781i	$0.789648\pi$
$828$	−0.551340	+	10.2705i	−0.0191604	+	0.356926i
$829$	−25.0598	−	14.4683i	−0.870362	−	0.502504i	−0.00289374	−	0.999996i	$-0.500921\pi$
$829$	−25.0598	−	14.4683i	−0.870362	−	0.502504i	−0.867469	+	0.497492i	$0.834254\pi$
$830$	−1.14742	−	0.0106214i	−0.0398274	−	0.000368673i
$831$	−51.9928	+	14.8730i	−1.80361	+	0.515937i
$832$	−4.82181	+	3.37626i	−0.167166	+	0.117051i
$833$	−20.4525	−	43.8606i	−0.708638	−	1.51968i
$834$	−9.86147	−	9.53522i	−0.341475	−	0.330178i
$835$	−11.8151	+	5.37690i	−0.408879	+	0.186075i
$836$	1.54414	−	1.77806i	0.0534054	−	0.0614955i
$837$	−11.1546	+	21.7894i	−0.385559	+	0.753151i
$838$	1.62336	−	18.5551i	0.0560781	−	0.640976i
$839$	−34.9337	−	12.7148i	−1.20605	−	0.438965i	−0.340715	−	0.940167i	$-0.610669\pi$
$839$	−34.9337	−	12.7148i	−1.20605	−	0.438965i	−0.865330	+	0.501202i	$0.832891\pi$
$840$	5.32820	+	14.3017i	0.183840	+	0.493455i
$841$	−4.38436	−	24.8649i	−0.151185	−	0.857412i
$842$	10.4455	−	22.4004i	0.359976	−	0.771970i
$843$	−7.51898	−	19.6249i	−0.258967	−	0.675916i
$844$	0.991983	−	0.572722i	0.0341455	−	0.0197139i
$845$	42.1453	−	23.8152i	1.44984	−	0.819267i
$846$	8.22205	+	4.38515i	0.282680	+	0.150765i
$847$	−10.9213	+	40.7588i	−0.375260	+	1.40049i
$848$	9.56929	−	2.56408i	0.328611	−	0.0880510i
$849$	38.4085	−	18.7029i	1.31818	−	0.641882i
$850$	24.3043	+	14.6386i	0.833631	+	0.502099i
$851$	−23.8559	−	4.20643i	−0.817769	−	0.144195i
$852$	−0.193256	−	0.322095i	−0.00662084	−	0.0110348i
$853$	−1.04991	+	12.0005i	−0.0359482	+	0.410890i	0.956806	+	0.290727i	$0.0938971\pi$
$853$	−1.04991	+	12.0005i	−0.0359482	+	0.410890i	−0.992754	+	0.120163i	$0.961658\pi$
$854$	−41.9346			−1.43497
$855$	−28.8330	−	4.86411i	−0.986067	−	0.166349i
$856$	−12.6218			−0.431405
$857$	−2.90254	+	33.1762i	−0.0991488	+	1.13328i	0.769770	+	0.638321i	$0.220371\pi$
$857$	−2.90254	+	33.1762i	−0.0991488	+	1.13328i	−0.868919	+	0.494955i	$0.835185\pi$
$858$	−2.83396	−	4.72330i	−0.0967499	−	0.161251i
$859$	35.9836	+	6.34488i	1.22775	+	0.216485i	0.749657	−	0.661827i	$-0.230219\pi$
$859$	35.9836	+	6.34488i	1.22775	+	0.216485i	0.478089	+	0.878312i	$0.341330\pi$
$860$	−15.4494	+	10.6060i	−0.526819	+	0.361662i
$861$	−34.4430	+	16.7719i	−1.17382	+	0.571586i
$862$	−1.81185	+	0.485484i	−0.0617119	+	0.0165356i
$863$	−0.819026	+	3.05665i	−0.0278800	+	0.104049i	−0.978464	−	0.206419i	$-0.933819\pi$
$863$	−0.819026	+	3.05665i	−0.0278800	+	0.104049i	0.950584	+	0.310468i	$0.100486\pi$
$864$	1.95569	−	4.81407i	0.0665339	−	0.163778i
$865$	−9.32773	+	33.5656i	−0.317152	+	1.14127i
$866$	22.8119	−	13.1705i	0.775181	−	0.447551i
$867$	9.41889	+	24.5837i	0.319882	+	0.834906i
$868$	7.84545	−	16.8246i	0.266292	−	0.571065i
$869$	0.157356	+	0.892408i	0.00533792	+	0.0302729i
$870$	−3.11876	+	6.82242i	−0.105736	+	0.231302i
$871$	46.4670	+	16.9126i	1.57447	+	0.573062i
$872$	−1.10897	+	12.6756i	−0.0375546	+	0.429251i
$873$	−3.04634	+	4.67793i	−0.103103	+	0.158324i
$874$	12.8134	+	7.69069i	0.433419	+	0.260141i
$875$	12.5801	−	42.2233i	0.425287	−	1.42741i
$876$	−10.7743	−	10.4179i	−0.364030	−	0.351987i
$877$	16.8573	+	36.1506i	0.569230	+	1.22072i	0.954582	+	0.297949i	$0.0963024\pi$
$877$	16.8573	+	36.1506i	0.569230	+	1.22072i	−0.385351	+	0.922770i	$0.625920\pi$
$878$	−7.38342	+	5.16993i	−0.249178	+	0.174477i
$879$	36.7680	−	10.5178i	1.24016	−	0.354756i
$880$	0.0111824	−	1.20802i	0.000376957	−	0.0407224i
$881$	16.5954	+	9.58136i	0.559113	+	0.322804i	0.752789	−	0.658261i	$-0.228708\pi$
$881$	16.5954	+	9.58136i	0.559113	+	0.322804i	−0.193676	+	0.981065i	$0.562041\pi$
$882$	25.5488	+	1.37150i	0.860273	+	0.0461809i
$883$	43.9917	−	3.84878i	1.48044	−	0.129522i	0.681892	−	0.731453i	$-0.261157\pi$
$883$	43.9917	−	3.84878i	1.48044	−	0.129522i	0.798548	+	0.601931i	$0.205602\pi$
$884$	25.5873	+	21.4703i	0.860592	+	0.722123i
$885$	9.20483	−	16.2253i	0.309417	−	0.545409i
$886$	12.5380	−	21.7164i	0.421221	−	0.729576i
$887$	−0.272771	+	0.584959i	−0.00915875	+	0.0196410i	−0.910834	−	0.412773i	$-0.864560\pi$
$887$	−0.272771	+	0.584959i	−0.00915875	+	0.0196410i	0.901675	+	0.432414i	$0.142338\pi$
$888$	10.6998	+	5.93987i	0.359061	+	0.199329i
$889$	−0.564826	−	0.0995940i	−0.0189436	−	0.00334028i
$890$	−28.4926	+	2.22723i	−0.955075	+	0.0746569i
$891$	4.36487	+	2.14263i	0.146229	+	0.0717809i
$892$	14.8768	+	14.8768i	0.498112	+	0.498112i
$893$	11.2209	−	7.57644i	0.375493	−	0.253536i
$894$	11.9471	−	1.24802i	0.399570	−	0.0417400i
$895$	−28.5139	+	10.0803i	−0.953116	+	0.336948i
$896$	−1.34777	+	3.70298i	−0.0450259	+	0.123708i
$897$	26.3950	−	22.9154i	0.881303	−	0.765123i
$898$	4.13971	+	2.89866i	0.138144	+	0.0967294i
$899$	8.57415	−	3.12074i	0.285964	−	0.104082i
$900$	−12.8755	+	7.69559i	−0.429183	+	0.256520i
$901$	−28.1080	−	48.6846i	−0.936415	−	1.62192i
$902$	3.02088	−	0.264293i	0.100584	−	0.00879999i
$903$	10.8787	+	56.1565i	0.362021	+	1.86877i
$904$	3.76148	−	2.17169i	0.125105	−	0.0722294i
$905$	−41.8543	+	34.4648i	−1.39128	+	1.14565i
$906$	27.0242	−	13.1593i	0.897818	−	0.437189i
$907$	26.9879	−	38.5427i	0.896118	−	1.27979i	−0.0633558	−	0.997991i	$-0.520180\pi$
$907$	26.9879	−	38.5427i	0.896118	−	1.27979i	0.959474	−	0.281798i	$-0.0909308\pi$
$908$	−18.6950	+	13.0904i	−0.620415	+	0.434420i
$909$	−19.5082	−	2.76697i	−0.647045	−	0.0917747i
$910$	22.3543	−	46.8030i	0.741039	−	1.55150i
$911$		−	9.53352i		−	0.315860i	−0.987450	−	0.157930i	$-0.949518\pi$
$911$		−	9.53352i		−	0.315860i	0.987450	−	0.157930i	$-0.0504820\pi$
$912$	−4.85205	−	5.78426i	−0.160667	−	0.191536i
$913$	0.196042	−	0.196042i	0.00648803	−	0.00648803i
$914$	5.47324	−	4.59259i	0.181039	−	0.151909i
$915$	−7.46357	−	40.5333i	−0.246738	−	1.33999i
$916$	−0.571674	+	3.24212i	−0.0188886	+	0.107123i
$917$	18.7499	+	13.1288i	0.619177	+	0.433552i
$918$	−29.2587	−	3.64912i	−0.965680	−	0.120439i
$919$	19.0442	+	10.9952i	0.628209	+	0.362697i	0.780058	−	0.625707i	$-0.215189\pi$
$919$	19.0442	+	10.9952i	0.628209	+	0.362697i	−0.151849	+	0.988404i	$0.548523\pi$
$920$	7.56175	−	1.26129i	0.249304	−	0.0415833i
$921$	2.05443	−	3.04164i	0.0676957	−	0.100226i
$922$	1.18139	+	13.5033i	0.0389069	+	0.444708i
$923$	−0.330395	+	1.23305i	−0.0108751	+	0.0405864i
$924$	−3.36776	−	1.50199i	−0.110791	−	0.0494118i
$925$	−14.3349	−	32.2888i	−0.471330	−	1.06165i
$926$	−25.8396	+	4.55622i	−0.849142	+	0.149727i
$927$	−27.1273	+	29.0165i	−0.890978	+	0.953027i
$928$	−1.75540	+	0.818558i	−0.0576239	+	0.0268705i
$929$	22.9131	−	19.2263i	0.751753	−	0.630796i	−0.184213	−	0.982886i	$-0.558974\pi$
$929$	22.9131	−	19.2263i	0.751753	−	0.630796i	0.935966	+	0.352091i	$0.114529\pi$
$930$	17.6588	+	4.58882i	0.579054	+	0.150473i
$931$	19.1312	−	31.8744i	0.627001	−	1.04464i
$932$	−20.2777	+	20.2777i	−0.664217	+	0.664217i
$933$	−0.862414	−	51.2741i	−0.0282342	−	1.67864i
$934$	5.72655	−	15.7336i	0.187378	−	0.514818i
$935$	−6.63772	+	1.71288i	−0.217077	+	0.0560172i
$936$	−16.3815	+	6.59438i	−0.535447	+	0.215544i
$937$	46.6348	+	21.7462i	1.52349	+	0.710417i	0.990730	−	0.135847i	$-0.0433757\pi$
$937$	46.6348	+	21.7462i	1.52349	+	0.710417i	0.532764	+	0.846264i	$0.321153\pi$
$938$	31.9759	−	8.56792i	1.04405	−	0.279752i
$939$	−0.513763	−	0.708079i	−0.0167660	−	0.0231073i
$940$	1.85965	−	6.69190i	0.0606550	−	0.218266i
$941$	−1.65556	+	1.97302i	−0.0539697	+	0.0643186i	−0.792354	−	0.610062i	$-0.791145\pi$
$941$	−1.65556	+	1.97302i	−0.0539697	+	0.0643186i	0.738384	+	0.674380i	$0.235589\pi$
$942$	4.43664	−	27.8971i	0.144553	−	0.908937i
$943$	4.98051	+	18.5875i	0.162188	+	0.605293i
$944$	4.52610	−	1.64737i	0.147312	−	0.0536172i
$945$	5.86569	+	45.4086i	0.190811	+	1.47714i
$946$	0.786236	−	4.45896i	0.0255627	−	0.144973i
$947$	−28.9091	+	13.4805i	−0.939420	+	0.438059i	−0.831141	−	0.556062i	$-0.812312\pi$
$947$	−28.9091	+	13.4805i	−0.939420	+	0.438059i	−0.108279	+	0.994121i	$0.534534\pi$
$948$	2.90471	−	0.0488563i	0.0943406	−	0.00158678i
$949$			50.9338i			1.65338i
$950$	1.12803	+	21.7653i	0.0365981	+	0.706159i
$951$	−45.7605	+	4.78023i	−1.48388	+	0.155010i
$952$	22.2758	+	1.94888i	0.721964	+	0.0631637i
$953$	15.1884	+	32.5716i	0.492001	+	1.05510i	0.982944	+	0.183907i	$0.0588746\pi$
$953$	15.1884	+	32.5716i	0.492001	+	1.05510i	−0.490943	+	0.871192i	$0.663348\pi$
$954$	29.7038	−	0.999499i	0.961695	−	0.0323600i
$955$	−21.3939	−	3.97684i	−0.692289	−	0.128688i
$956$	−0.360309	−	0.989941i	−0.0116532	−	0.0320170i
$957$	−0.648455	−	1.69250i	−0.0209616	−	0.0547106i
$958$	14.9272	+	3.99973i	0.482275	+	0.129225i
$959$	33.2022	+	27.8599i	1.07215	+	0.899644i
$960$	−3.81912	−	0.643676i	−0.123262	−	0.0207746i
$961$	4.40368	+	7.62740i	0.142054	+	0.246045i
$962$	−10.7644	−	40.1732i	−0.347057	−	1.29524i
$963$	−36.8841	−	8.56474i	−1.18857	−	0.275995i
$964$	4.96617	−	0.875670i	0.159950	−	0.0282034i
$965$	−3.90554	−	15.1347i	−0.125724	−	0.487202i
$966$	5.67548	−	22.7016i	0.182605	−	0.730414i
$967$	−28.6701	−	2.50831i	−0.921969	−	0.0806618i	−0.383721	−	0.923449i	$-0.625358\pi$
$967$	−28.6701	−	2.50831i	−0.921969	−	0.0806618i	−0.538247	+	0.842787i	$0.680913\pi$
$968$	−7.57178	−	7.57178i	−0.243366	−	0.243366i
$969$	−24.5782	+	35.0897i	−0.789564	+	1.12724i
$970$	3.89661	+	1.45923i	0.125112	+	0.0468532i
$971$	15.6307	+	18.6279i	0.501612	+	0.597797i	0.956131	−	0.292939i	$-0.0946334\pi$
$971$	15.6307	+	18.6279i	0.501612	+	0.597797i	−0.454519	+	0.890737i	$0.650189\pi$
$972$	8.98168	−	12.7409i	0.288088	−	0.408663i
$973$	17.9007	+	25.5648i	0.573870	+	0.819571i
$974$	−1.40395	−	7.96222i	−0.0449856	−	0.255126i
$975$	49.2177	+	13.2773i	1.57623	+	0.425214i
$976$	5.32080	−	9.21590i	0.170315	−	0.294994i
$977$	−41.8366	−	11.2101i	−1.33847	−	0.358642i	−0.482604	−	0.875839i	$-0.660309\pi$
$977$	−41.8366	−	11.2101i	−1.33847	−	0.358642i	−0.855867	+	0.517196i	$0.826976\pi$
$978$	22.1098	−	4.28313i	0.706993	−	0.136960i
$979$	4.43860	−	5.28972i	0.141858	−	0.169060i
$980$	−3.13755	−	18.8105i	−0.100225	−	0.600879i
$981$	−11.8420	+	36.2889i	−0.378085	+	1.15861i
$982$	27.9301	+	13.0240i	0.891284	+	0.415612i
$983$	6.84157	−	9.77077i	0.218212	−	0.311639i	−0.695089	−	0.718923i	$-0.744635\pi$
$983$	6.84157	−	9.77077i	0.218212	−	0.311639i	0.913302	+	0.407284i	$0.133524\pi$
$984$	0.684311	−	9.69758i	0.0218150	−	0.309147i
$985$	−36.7903	+	2.87584i	−1.17223	+	0.0916320i
$986$	7.06469	+	8.41937i	0.224986	+	0.268127i
$987$	−16.4673	−	13.3523i	−0.524160	−	0.425008i
$988$	−2.66973	+	25.5187i	−0.0849353	+	0.811857i
$989$	28.7323			0.913634
$990$	0.852400	−	3.52255i	0.0270911	−	0.111954i
$991$	−25.1838	−	9.16614i	−0.799989	−	0.291172i	−0.0905070	−	0.995896i	$-0.528849\pi$
$991$	−25.1838	−	9.16614i	−0.799989	−	0.291172i	−0.709482	+	0.704724i	$0.751071\pi$
$992$	2.70206	+	3.85895i	0.0857906	+	0.122522i
$993$	8.10370	−	14.5976i	0.257163	−	0.463240i
$994$	0.292287	+	0.803051i	0.00927077	+	0.0254712i
$995$	−36.3173	−	44.1040i	−1.15134	−	1.39819i
$996$	−0.521981	−	0.719405i	−0.0165396	−	0.0227952i
$997$	−2.15755	−	24.6609i	−0.0683303	−	0.781018i	−0.950629	−	0.310329i	$-0.899561\pi$
$997$	−2.15755	−	24.6609i	−0.0683303	−	0.781018i	0.882299	−	0.470689i	$-0.155995\pi$
$998$	−0.730689	−	8.35181i	−0.0231296	−	0.264372i
$999$	27.2368	+	24.6183i	0.861735	+	0.778888i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	570.2.bi.a.557.27	yes	480
3.2	odd	2	inner	570.2.bi.a.557.12	yes	480
5.3	odd	4	inner	570.2.bi.a.443.17	yes	480
15.8	even	4	inner	570.2.bi.a.443.22	yes	480
19.16	even	9	inner	570.2.bi.a.377.22	yes	480
57.35	odd	18	inner	570.2.bi.a.377.17	yes	480
95.73	odd	36	inner	570.2.bi.a.263.12	✓	480
285.263	even	36	inner	570.2.bi.a.263.27	yes	480

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
570.2.bi.a.263.12	✓	480	95.73	odd	36	inner
570.2.bi.a.263.27	yes	480	285.263	even	36	inner
570.2.bi.a.377.17	yes	480	57.35	odd	18	inner
570.2.bi.a.377.22	yes	480	19.16	even	9	inner
570.2.bi.a.443.17	yes	480	5.3	odd	4	inner
570.2.bi.a.443.22	yes	480	15.8	even	4	inner
570.2.bi.a.557.12	yes	480	3.2	odd	2	inner
570.2.bi.a.557.27	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)

\(f(q)\)	\(=\)	\(q+(0.0871557 - 0.996195i) q^{2} +(-0.891129 - 1.48522i) q^{3} +(-0.984808 - 0.173648i) q^{4} +(-0.408656 + 2.19841i) q^{5} +(-1.55724 + 0.758292i) q^{6} +(3.80635 - 1.01991i) q^{7} +(-0.258819 + 0.965926i) q^{8} +(-1.41178 + 2.64705i) q^{9} +O(q^{10})\)	\(q+(0.0871557 - 0.996195i) q^{2} +(-0.891129 - 1.48522i) q^{3} +(-0.984808 - 0.173648i) q^{4} +(-0.408656 + 2.19841i) q^{5} +(-1.55724 + 0.758292i) q^{6} +(3.80635 - 1.01991i) q^{7} +(-0.258819 + 0.965926i) q^{8} +(-1.41178 + 2.64705i) q^{9} +(2.15443 + 0.598705i) q^{10} +(-0.467885 + 0.270133i) q^{11} +(0.619684 + 1.61740i) q^{12} +(2.48767 - 5.33483i) q^{13} +(-0.684282 - 3.88076i) q^{14} +(3.62929 - 1.35212i) q^{15} +(0.939693 + 0.342020i) q^{16} +(0.494562 - 5.65287i) q^{17} +(2.51393 + 1.63711i) q^{18} +(3.81136 - 2.11507i) q^{19} +(0.784197 - 2.09405i) q^{20} +(-4.90674 - 4.74441i) q^{21} +(0.228327 + 0.489648i) q^{22} +(-2.80841 + 1.96647i) q^{23} +(1.66526 - 0.476360i) q^{24} +(-4.66600 - 1.79679i) q^{25} +(-5.09772 - 2.94317i) q^{26} +(5.18954 - 0.262057i) q^{27} +(-3.92563 + 0.343448i) q^{28} +(-1.48373 - 1.24500i) q^{29} +(-1.03066 - 3.73333i) q^{30} +(-2.35545 + 4.07976i) q^{31} +(0.422618 - 0.906308i) q^{32} +(0.818154 + 0.454190i) q^{33} +(-5.58825 - 0.985360i) q^{34} +(0.686688 + 8.78471i) q^{35} +(1.84999 - 2.36168i) q^{36} +(4.99612 + 4.99612i) q^{37} +(-1.77484 - 3.98120i) q^{38} +(-10.1403 + 1.05927i) q^{39} +(-2.01773 - 0.963721i) q^{40} +(1.91970 - 5.27433i) q^{41} +(-5.15401 + 4.47457i) q^{42} +(-6.86497 - 4.80690i) q^{43} +(0.507685 - 0.184782i) q^{44} +(-5.24237 - 4.18540i) q^{45} +(1.71422 + 2.96911i) q^{46} +(3.09430 - 0.270716i) q^{47} +(-0.329411 - 1.70044i) q^{48} +(7.38592 - 4.26427i) q^{49} +(-2.19662 + 4.49165i) q^{50} +(-8.83649 + 4.30290i) q^{51} +(-3.37626 + 4.82181i) q^{52} +(8.11522 - 5.68234i) q^{53} +(0.191238 - 5.19263i) q^{54} +(-0.402660 - 1.13899i) q^{55} +3.94063i q^{56} +(-6.53776 - 3.77593i) q^{57} +(-1.36958 + 1.36958i) q^{58} +(3.68971 - 3.09603i) q^{59} +(-3.80895 + 0.701358i) q^{60} +(1.84789 - 10.4799i) q^{61} +(3.85895 + 2.70206i) q^{62} +(-2.67397 + 11.5155i) q^{63} +(-0.866025 - 0.500000i) q^{64} +(10.7115 + 7.64903i) q^{65} +(0.523768 - 0.775456i) q^{66} +(0.732166 + 8.36870i) q^{67} +(-1.46866 + 5.48111i) q^{68} +(5.42331 + 2.41874i) q^{69} +(8.81113 + 0.0815624i) q^{70} +(-0.213572 + 0.0376584i) q^{71} +(-2.19146 - 2.04878i) q^{72} +(-7.84218 + 3.65687i) q^{73} +(5.41254 - 4.54166i) q^{74} +(1.48938 + 8.53122i) q^{75} +(-4.12074 + 1.42110i) q^{76} +(-1.50542 + 1.50542i) q^{77} +(0.171460 + 10.1940i) q^{78} +(0.573661 - 1.57612i) q^{79} +(-1.13591 + 1.92606i) q^{80} +(-5.01376 - 7.47410i) q^{81} +(-5.08694 - 2.37208i) q^{82} +(-0.495677 + 0.132816i) q^{83} +(4.00834 + 5.52438i) q^{84} +(12.2252 + 3.39733i) q^{85} +(-5.38693 + 6.41990i) q^{86} +(-0.526905 + 3.31312i) q^{87} +(-0.139831 - 0.521858i) q^{88} +(-12.0104 + 4.37142i) q^{89} +(-4.62638 + 4.85764i) q^{90} +(4.02792 - 22.8435i) q^{91} +(3.10722 - 1.44892i) q^{92} +(8.15837 - 0.137221i) q^{93} -3.10612i q^{94} +(3.09225 + 9.24327i) q^{95} +(-1.72268 + 0.179954i) q^{96} +(1.85372 + 0.162180i) q^{97} +(-3.60431 - 7.72947i) q^{98} +(-0.0545073 - 1.61988i) 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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