LMFDB - Embedded newform 288.2.bf.a.59.16

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [288,2,Mod(11,288)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(288, base_ring=CyclotomicField(24))

chi = DirichletCharacter(H, H._module([12, 15, 4]))

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

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

chi := DirichletCharacter("288.11");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 288 = 2^{5} \cdot 3^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	288.bf (of order $24$, degree $8$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$2.29969157821$
Analytic rank:	$0$
Dimension:	$368$
Relative dimension:	$46$ over $\Q(\zeta_{24})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{24}]$

Embedding invariants

Embedding label			59.16
Character	$\chi$	$=$	288.59
Dual form			288.2.bf.a.83.16

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.846109 + 1.13318i) q^{2} +(-0.272322 + 1.71051i) q^{3} +(-0.568200 - 1.91759i) q^{4} +(2.31877 + 3.02188i) q^{5} +(-1.70790 - 1.75587i) q^{6} +(2.61808 + 0.701513i) q^{7} +(2.65374 + 0.978615i) q^{8} +(-2.85168 - 0.931617i) q^{9} +O(q^{10})$	\(q+(-0.846109 + 1.13318i) q^{2} +(-0.272322 + 1.71051i) q^{3} +(-0.568200 - 1.91759i) q^{4} +(2.31877 + 3.02188i) q^{5} +(-1.70790 - 1.75587i) q^{6} +(2.61808 + 0.701513i) q^{7} +(2.65374 + 0.978615i) q^{8} +(-2.85168 - 0.931617i) q^{9} +(-5.38626 + 0.0707484i) q^{10} +(5.80953 - 0.764839i) q^{11} +(3.43479 - 0.449711i) q^{12} +(-0.0733781 + 0.557362i) q^{13} +(-3.01012 + 2.37321i) q^{14} +(-5.80040 + 3.14335i) q^{15} +(-3.35430 + 2.17915i) q^{16} -2.35854 q^{17} +(3.46852 - 2.44322i) q^{18} +(-2.45699 - 5.93170i) q^{19} +(4.47719 - 6.16347i) q^{20} +(-1.91290 + 4.28722i) q^{21} +(-4.04879 + 7.23038i) q^{22} +(-0.242019 - 0.903226i) q^{23} +(-2.39660 + 4.27274i) q^{24} +(-2.46096 + 9.18442i) q^{25} +(-0.569507 - 0.554740i) q^{26} +(2.37011 - 4.62413i) q^{27} +(-0.142382 - 5.41901i) q^{28} +(-4.46322 - 3.42475i) q^{29} +(1.34578 - 9.23252i) q^{30} +(-2.85421 - 1.64788i) q^{31} +(0.368727 - 5.64482i) q^{32} +(-0.273796 + 10.1455i) q^{33} +(1.99558 - 2.67265i) q^{34} +(3.95084 + 9.53817i) q^{35} +(-0.166132 + 5.99770i) q^{36} +(-2.29423 - 0.950303i) q^{37} +(8.80058 + 2.23465i) q^{38} +(-0.933391 - 0.277296i) q^{39} +(3.19614 + 10.2884i) q^{40} +(-5.18522 + 1.38938i) q^{41} +(-3.23967 - 5.79512i) q^{42} +(-0.592423 - 4.49990i) q^{43} +(-4.76762 - 10.7057i) q^{44} +(-3.79715 - 10.7776i) q^{45} +(1.22829 + 0.489976i) q^{46} +(7.39233 - 4.26796i) q^{47} +(-2.81401 - 6.33098i) q^{48} +(0.300058 + 0.173239i) q^{49} +(-8.32538 - 10.5597i) q^{50} +(0.642280 - 4.03430i) q^{51} +(1.11049 - 0.175984i) q^{52} +(6.71219 + 2.78028i) q^{53} +(3.23460 + 6.59828i) q^{54} +(15.7822 + 15.7822i) q^{55} +(6.26119 + 4.42372i) q^{56} +(10.8153 - 2.58738i) q^{57} +(7.65724 - 2.15993i) q^{58} +(-3.60526 + 2.76641i) q^{59} +(9.32344 + 9.33672i) q^{60} +(3.84408 - 5.00970i) q^{61} +(4.28232 - 1.84005i) q^{62} +(-6.81240 - 4.43954i) q^{63} +(6.08463 + 5.19397i) q^{64} +(-1.85443 + 1.07065i) q^{65} +(-11.2651 - 8.89448i) q^{66} +(-0.452833 + 3.43961i) q^{67} +(1.34012 + 4.52270i) q^{68} +(1.61088 - 0.168007i) q^{69} +(-14.1513 - 3.59331i) q^{70} +(5.11139 + 5.11139i) q^{71} +(-6.65592 - 5.26296i) q^{72} +(-0.0880542 + 0.0880542i) q^{73} +(3.01804 - 1.79572i) q^{74} +(-15.0399 - 6.71061i) q^{75} +(-9.97850 + 8.08189i) q^{76} +(15.7464 + 2.07305i) q^{77} +(1.10398 - 0.823079i) q^{78} +(-3.12868 - 5.41904i) q^{79} +(-14.3630 - 5.08333i) q^{80} +(7.26418 + 5.31335i) q^{81} +(2.81284 - 7.05136i) q^{82} +(4.62117 + 3.54595i) q^{83} +(9.30803 + 1.23217i) q^{84} +(-5.46890 - 7.12720i) q^{85} +(5.60045 + 3.13608i) q^{86} +(7.07350 - 6.70175i) q^{87} +(16.1654 + 3.65561i) q^{88} +(-5.51808 + 5.51808i) q^{89} +(15.4258 + 4.81618i) q^{90} +(-0.583107 + 1.40774i) q^{91} +(-1.59450 + 0.977306i) q^{92} +(3.59598 - 4.43340i) q^{93} +(-1.41834 + 11.9880i) q^{94} +(12.2277 - 21.1790i) q^{95} +(9.55511 + 2.16792i) q^{96} +(-5.11130 - 8.85304i) q^{97} +(-0.450193 + 0.193442i) q^{98} +(-17.2795 - 3.23118i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 368 q - 12 q^{2} - 8 q^{3} - 4 q^{4} - 12 q^{5} - 8 q^{6} - 4 q^{7} - 8 q^{9}+O(q^{10}) $ 368 * q - 12 * q^2 - 8 * q^3 - 4 * q^4 - 12 * q^5 - 8 * q^6 - 4 * q^7 - 8 * q^9	$ 368 q - 12 q^{2} - 8 q^{3} - 4 q^{4} - 12 q^{5} - 8 q^{6} - 4 q^{7} - 8 q^{9} - 16 q^{10} - 12 q^{11} - 8 q^{12} - 4 q^{13} - 12 q^{14} - 16 q^{15} - 4 q^{16} - 8 q^{18} - 16 q^{19} - 12 q^{20} - 8 q^{21} - 4 q^{22} - 12 q^{23} + 32 q^{24} - 4 q^{25} + 16 q^{27} - 16 q^{28} - 12 q^{29} - 56 q^{30} - 12 q^{32} - 16 q^{33} - 12 q^{34} - 60 q^{36} - 16 q^{37} - 12 q^{38} + 16 q^{39} - 4 q^{40} - 12 q^{41} - 8 q^{42} - 4 q^{43} - 8 q^{45} - 16 q^{46} - 24 q^{47} - 60 q^{48} - 168 q^{50} - 32 q^{51} - 4 q^{52} - 52 q^{54} - 16 q^{55} - 12 q^{56} - 8 q^{57} + 32 q^{58} - 12 q^{59} - 20 q^{60} - 4 q^{61} - 16 q^{64} - 24 q^{65} - 80 q^{66} - 4 q^{67} - 60 q^{68} - 8 q^{69} - 4 q^{70} + 52 q^{72} - 16 q^{73} - 12 q^{74} - 28 q^{75} - 28 q^{76} - 12 q^{77} + 80 q^{78} - 8 q^{79} - 16 q^{82} - 132 q^{83} - 104 q^{84} - 24 q^{85} - 12 q^{86} - 64 q^{87} - 4 q^{88} + 124 q^{90} - 16 q^{91} + 216 q^{92} - 20 q^{93} - 20 q^{94} + 92 q^{96} - 8 q^{97} - 72 q^{99}+O(q^{100}) $ 368 * q - 12 * q^2 - 8 * q^3 - 4 * q^4 - 12 * q^5 - 8 * q^6 - 4 * q^7 - 8 * q^9 - 16 * q^10 - 12 * q^11 - 8 * q^12 - 4 * q^13 - 12 * q^14 - 16 * q^15 - 4 * q^16 - 8 * q^18 - 16 * q^19 - 12 * q^20 - 8 * q^21 - 4 * q^22 - 12 * q^23 + 32 * q^24 - 4 * q^25 + 16 * q^27 - 16 * q^28 - 12 * q^29 - 56 * q^30 - 12 * q^32 - 16 * q^33 - 12 * q^34 - 60 * q^36 - 16 * q^37 - 12 * q^38 + 16 * q^39 - 4 * q^40 - 12 * q^41 - 8 * q^42 - 4 * q^43 - 8 * q^45 - 16 * q^46 - 24 * q^47 - 60 * q^48 - 168 * q^50 - 32 * q^51 - 4 * q^52 - 52 * q^54 - 16 * q^55 - 12 * q^56 - 8 * q^57 + 32 * q^58 - 12 * q^59 - 20 * q^60 - 4 * q^61 - 16 * q^64 - 24 * q^65 - 80 * q^66 - 4 * q^67 - 60 * q^68 - 8 * q^69 - 4 * q^70 + 52 * q^72 - 16 * q^73 - 12 * q^74 - 28 * q^75 - 28 * q^76 - 12 * q^77 + 80 * q^78 - 8 * q^79 - 16 * q^82 - 132 * q^83 - 104 * q^84 - 24 * q^85 - 12 * q^86 - 64 * q^87 - 4 * q^88 + 124 * q^90 - 16 * q^91 + 216 * q^92 - 20 * q^93 - 20 * q^94 + 92 * q^96 - 8 * q^97 - 72 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/288\mathbb{Z}\right)^\times$.

$n$	$37$	$65$	$127$
$\chi(n)$	$e\left(\frac{1}{8}\right)$	$e\left(\frac{5}{6}\right)$	$-1$

Coefficient data

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

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

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

$2$	−0.846109	+	1.13318i	−0.598289	+	0.801280i
$2$	−0.846109	+	1.13318i	−0.598289	+	0.801280i
$3$	−0.272322	+	1.71051i	−0.157225	+	0.987563i
$3$	−0.272322	+	1.71051i	−0.157225	+	0.987563i
$4$	−0.568200	−	1.91759i	−0.284100	−	0.958795i
$5$	2.31877	+	3.02188i	1.03698	+	1.35142i	0.934212	+	0.356719i	$0.116105\pi$
$5$	2.31877	+	3.02188i	1.03698	+	1.35142i	0.102772	+	0.994705i	$0.467229\pi$
$6$	−1.70790	−	1.75587i	−0.697249	−	0.716829i
$7$	2.61808	+	0.701513i	0.989542	+	0.265147i	0.717058	−	0.697013i	$-0.245488\pi$
$7$	2.61808	+	0.701513i	0.989542	+	0.265147i	0.272484	+	0.962160i	$0.412155\pi$
$8$	2.65374	+	0.978615i	0.938237	+	0.345993i
$9$	−2.85168	−	0.931617i	−0.950561	−	0.310539i
$10$	−5.38626	+	0.0707484i	−1.70329	+	0.0223726i
$11$	5.80953	−	0.764839i	1.75164	−	0.230608i	0.814646	−	0.579958i	$-0.196931\pi$
$11$	5.80953	−	0.764839i	1.75164	−	0.230608i	0.936992	+	0.349351i	$0.113598\pi$
$12$	3.43479	−	0.449711i	0.991538	−	0.129820i
$13$	−0.0733781	+	0.557362i	−0.0203514	+	0.154584i	−0.998603	−	0.0528367i	$-0.983174\pi$
$13$	−0.0733781	+	0.557362i	−0.0203514	+	0.154584i	0.978252	+	0.207421i	$0.0665070\pi$
$14$	−3.01012	+	2.37321i	−0.804489	+	0.634266i
$15$	−5.80040	+	3.14335i	−1.49766	+	0.811609i
$16$	−3.35430	+	2.17915i	−0.838574	+	0.544787i
$17$	−2.35854			−0.572029			−0.286015	−	0.958225i	$-0.592331\pi$
$17$	−2.35854			−0.572029			−0.286015	+	0.958225i	$0.592331\pi$
$18$	3.46852	−	2.44322i	0.817539	−	0.575873i
$19$	−2.45699	−	5.93170i	−0.563672	−	1.36083i	−0.906810	−	0.421540i	$-0.861490\pi$
$19$	−2.45699	−	5.93170i	−0.563672	−	1.36083i	0.343137	−	0.939285i	$-0.388510\pi$
$20$	4.47719	−	6.16347i	1.00113	−	1.37819i
$21$	−1.91290	+	4.28722i	−0.417430	+	0.935547i
$22$	−4.04879	+	7.23038i	−0.863205	+	1.54152i
$23$	−0.242019	−	0.903226i	−0.0504644	−	0.188336i	0.936092	−	0.351754i	$-0.114415\pi$
$23$	−0.242019	−	0.903226i	−0.0504644	−	0.188336i	−0.986557	+	0.163418i	$0.947748\pi$
$24$	−2.39660	+	4.27274i	−0.489204	+	0.872170i
$25$	−2.46096	+	9.18442i	−0.492192	+	1.83688i
$26$	−0.569507	−	0.554740i	−0.111689	−	0.108793i
$27$	2.37011	−	4.62413i	0.456129	−	0.889914i
$28$	−0.142382	−	5.41901i	−0.0269076	−	1.02410i
$29$	−4.46322	−	3.42475i	−0.828800	−	0.635960i	0.104714	−	0.994502i	$-0.466607\pi$
$29$	−4.46322	−	3.42475i	−0.828800	−	0.635960i	−0.933514	+	0.358542i	$0.883274\pi$
$30$	1.34578	−	9.23252i	0.245705	−	1.68562i
$31$	−2.85421	−	1.64788i	−0.512632	−	0.295968i	0.221283	−	0.975210i	$-0.428976\pi$
$31$	−2.85421	−	1.64788i	−0.512632	−	0.295968i	−0.733915	+	0.679242i	$0.762309\pi$
$32$	0.368727	−	5.64482i	0.0651824	−	0.997873i
$33$	−0.273796	+	10.1455i	−0.0476618	+	1.76611i
$34$	1.99558	−	2.67265i	0.342239	−	0.458356i
$35$	3.95084	+	9.53817i	0.667813	+	1.61224i
$36$	−0.166132	+	5.99770i	−0.0276887	+	0.999617i
$37$	−2.29423	−	0.950303i	−0.377170	−	0.156229i	0.186041	−	0.982542i	$-0.440434\pi$
$37$	−2.29423	−	0.950303i	−0.377170	−	0.156229i	−0.563211	+	0.826313i	$0.690434\pi$
$38$	8.80058	+	2.23465i	1.42764	+	0.362508i
$39$	−0.933391	−	0.277296i	−0.149462	−	0.0444028i
$40$	3.19614	+	10.2884i	0.505354	+	1.62674i
$41$	−5.18522	+	1.38938i	−0.809795	+	0.216984i	−0.639880	−	0.768475i	$-0.721016\pi$
$41$	−5.18522	+	1.38938i	−0.809795	+	0.216984i	−0.169915	+	0.985459i	$0.554349\pi$
$42$	−3.23967	−	5.79512i	−0.499892	−	0.894206i
$43$	−0.592423	−	4.49990i	−0.0903436	−	0.686228i	−0.975352	−	0.220653i	$-0.929181\pi$
$43$	−0.592423	−	4.49990i	−0.0903436	−	0.686228i	0.885009	−	0.465575i	$-0.154152\pi$
$44$	−4.76762	−	10.7057i	−0.718746	−	1.61395i
$45$	−3.79715	−	10.7776i	−0.566046	−	1.60663i
$46$	1.22829	+	0.489976i	0.181102	+	0.0722430i
$47$	7.39233	−	4.26796i	1.07828	−	0.622546i	0.147849	−	0.989010i	$-0.452765\pi$
$47$	7.39233	−	4.26796i	1.07828	−	0.622546i	0.930432	+	0.366464i	$0.119432\pi$
$48$	−2.81401	−	6.33098i	−0.406167	−	0.913799i
$49$	0.300058	+	0.173239i	0.0428655	+	0.0247484i
$50$	−8.32538	−	10.5597i	−1.17739	−	1.49337i
$51$	0.642280	−	4.03430i	0.0899373	−	0.564915i
$52$	1.11049	−	0.175984i	0.153997	−	0.0244046i
$53$	6.71219	+	2.78028i	0.921990	+	0.381901i	0.792634	−	0.609698i	$-0.208709\pi$
$53$	6.71219	+	2.78028i	0.921990	+	0.381901i	0.129356	+	0.991598i	$0.458709\pi$
$54$	3.23460	+	6.59828i	0.440174	+	0.897913i
$55$	15.7822	+	15.7822i	2.12807	+	2.12807i
$56$	6.26119	+	4.42372i	0.836687	+	0.591145i
$57$	10.8153	−	2.58738i	1.43252	−	0.342706i
$58$	7.65724	−	2.15993i	1.00544	−	0.283613i
$59$	−3.60526	+	2.76641i	−0.469365	+	0.360156i	−0.816200	−	0.577770i	$-0.803923\pi$
$59$	−3.60526	+	2.76641i	−0.469365	+	0.360156i	0.346835	+	0.937926i	$0.387256\pi$
$60$	9.32344	+	9.33672i	1.20365	+	1.20537i
$61$	3.84408	−	5.00970i	0.492184	−	0.641426i	−0.479547	−	0.877516i	$-0.659199\pi$
$61$	3.84408	−	5.00970i	0.492184	−	0.641426i	0.971731	+	0.236089i	$0.0758658\pi$
$62$	4.28232	−	1.84005i	0.543855	−	0.233687i
$63$	−6.81240	−	4.43954i	−0.858281	−	0.559330i
$64$	6.08463	+	5.19397i	0.760578	+	0.649246i
$65$	−1.85443	+	1.07065i	−0.230013	+	0.132798i
$66$	−11.2651	−	8.89448i	−1.38663	−	1.09483i
$67$	−0.452833	+	3.43961i	−0.0553223	+	0.420215i	0.941265	+	0.337669i	$0.109638\pi$
$67$	−0.452833	+	3.43961i	−0.0553223	+	0.420215i	−0.996587	+	0.0825459i	$0.973695\pi$
$68$	1.34012	+	4.52270i	0.162514	+	0.548458i
$69$	1.61088	−	0.168007i	0.193927	−	0.0202257i
$70$	−14.1513	−	3.59331i	−1.69141	−	0.429482i
$71$	5.11139	+	5.11139i	0.606610	+	0.606610i	0.942059	−	0.335448i	$-0.108888\pi$
$71$	5.11139	+	5.11139i	0.606610	+	0.606610i	−0.335448	+	0.942059i	$0.608888\pi$
$72$	−6.65592	−	5.26296i	−0.784407	−	0.620246i
$73$	−0.0880542	+	0.0880542i	−0.0103060	+	0.0103060i	−0.712241	−	0.701935i	$-0.752320\pi$
$73$	−0.0880542	+	0.0880542i	−0.0103060	+	0.0103060i	0.701935	+	0.712241i	$0.252320\pi$
$74$	3.01804	−	1.79572i	0.350840	−	0.208749i
$75$	−15.0399	−	6.71061i	−1.73665	−	0.774874i
$76$	−9.97850	+	8.08189i	−1.14461	+	0.927057i
$77$	15.7464	+	2.07305i	1.79446	+	0.236246i
$78$	1.10398	−	0.823079i	0.125001	−	0.0931953i
$79$	−3.12868	−	5.41904i	−0.352004	−	0.609689i	0.634596	−	0.772844i	$-0.281166\pi$
$79$	−3.12868	−	5.41904i	−0.352004	−	0.609689i	−0.986601	+	0.163155i	$0.947833\pi$
$80$	−14.3630	−	5.08333i	−1.60583	−	0.568333i
$81$	7.26418	+	5.31335i	0.807131	+	0.590372i
$82$	2.81284	−	7.05136i	0.310627	−	0.778692i
$83$	4.62117	+	3.54595i	0.507240	+	0.389219i	0.830437	−	0.557113i	$-0.188091\pi$
$83$	4.62117	+	3.54595i	0.507240	+	0.389219i	−0.323197	+	0.946332i	$0.604758\pi$
$84$	9.30803	+	1.23217i	1.01559	+	0.134441i
$85$	−5.46890	−	7.12720i	−0.593185	−	0.773054i
$86$	5.60045	+	3.13608i	0.603912	+	0.338172i
$87$	7.07350	−	6.70175i	0.758359	−	0.718503i
$88$	16.1654	+	3.65561i	1.72324	+	0.389689i
$89$	−5.51808	+	5.51808i	−0.584915	+	0.584915i	−0.936250	−	0.351335i	$-0.885728\pi$
$89$	−5.51808	+	5.51808i	−0.584915	+	0.584915i	0.351335	+	0.936250i	$0.385728\pi$
$90$	15.4258	+	4.81618i	1.62602	+	0.507670i
$91$	−0.583107	+	1.40774i	−0.0611262	+	0.147572i
$92$	−1.59450	+	0.977306i	−0.166238	+	0.101891i
$93$	3.59598	−	4.43340i	0.372885	−	0.459722i
$94$	−1.41834	+	11.9880i	−0.146290	+	1.23647i
$95$	12.2277	−	21.1790i	1.25453	−	2.17291i
$96$	9.55511	+	2.16792i	0.975214	+	0.221262i
$97$	−5.11130	−	8.85304i	−0.518974	−	0.898890i	−0.999757	−	0.0220500i	$-0.992981\pi$
$97$	−5.11130	−	8.85304i	−0.518974	−	0.898890i	0.480783	−	0.876840i	$-0.340353\pi$
$98$	−0.450193	+	0.193442i	−0.0454763	+	0.0195406i
$99$	−17.2795	−	3.23118i	−1.73665	−	0.324746i
$100$	19.0103	−	0.499485i	1.90103	−	0.0499485i
$101$	−1.72845	+	0.227555i	−0.171987	+	0.0226425i	−0.216028	−	0.976387i	$-0.569310\pi$
$101$	−1.72845	+	0.227555i	−0.171987	+	0.0226425i	0.0440407	+	0.999030i	$0.485977\pi$
$102$	4.02815	+	4.14127i	0.398847	+	0.410047i
$103$	−4.41735	−	16.4858i	−0.435255	−	1.62439i	−0.740456	−	0.672105i	$-0.765390\pi$
$103$	−4.41735	−	16.4858i	−0.435255	−	1.62439i	0.305201	−	0.952288i	$-0.401276\pi$
$104$	−0.740169	+	1.40728i	−0.0725795	+	0.137995i
$105$	−17.3910	+	4.16049i	−1.69719	+	0.406023i
$106$	−8.82980	+	5.25371i	−0.857626	+	0.510285i
$107$	−0.0250832	+	0.0605561i	−0.00242488	+	0.00585418i	−0.925087	−	0.379754i	$-0.876008\pi$
$107$	−0.0250832	+	0.0605561i	−0.00242488	+	0.00585418i	0.922662	+	0.385609i	$0.126008\pi$
$108$	−10.2139	−	1.91747i	−0.982831	−	0.184509i
$109$	1.26383	−	0.523494i	0.121053	−	0.0501417i	−0.321335	−	0.946966i	$-0.604132\pi$
$109$	1.26383	−	0.523494i	0.121053	−	0.0501417i	0.442388	+	0.896824i	$0.354132\pi$
$110$	−31.2375	+	4.53064i	−2.97838	+	0.431979i
$111$	2.25027	−	3.66552i	0.213586	−	0.347916i
$112$	−10.3105	+	3.35211i	−0.974253	+	0.316745i
$113$	−9.29810	+	16.1048i	−0.874692	+	1.51501i	−0.0176016	+	0.999845i	$0.505603\pi$
$113$	−9.29810	+	16.1048i	−0.874692	+	1.51501i	−0.857090	+	0.515166i	$0.827730\pi$
$114$	−6.21897	+	14.4449i	−0.582460	+	1.35289i
$115$	2.16825	−	2.82572i	0.202190	−	0.263500i
$116$	−4.03126	+	10.5046i	−0.374293	+	0.975325i
$117$	0.728499	−	1.52106i	0.0673498	−	0.140622i
$118$	−0.0844067	−	6.42610i	−0.00777026	−	0.591571i
$119$	−6.17484	−	1.65454i	−0.566047	−	0.151672i
$120$	−18.4688	+	2.66527i	−1.68597	+	0.243304i
$121$	22.5404	−	6.03969i	2.04913	−	0.549063i
$122$	2.42439	+	8.59479i	0.219494	+	0.778136i
$123$	−0.964492	−	9.24772i	−0.0869653	−	0.833839i
$124$	−1.53819	+	6.40953i	−0.138134	+	0.575593i
$125$	−15.8653	+	6.57163i	−1.41904	+	0.587785i
$126$	10.7948	−	3.96335i	0.961680	−	0.353083i
$127$			10.6811i			0.947793i	0.880581	+	0.473896i	$0.157153\pi$
$127$			10.6811i			0.947793i	−0.880581	+	0.473896i	$0.842847\pi$
$128$	−11.0340	+	2.50032i	−0.975274	+	0.221000i
$129$	7.85844	+	0.212075i	0.691897	+	0.0186721i
$130$	0.355801	−	3.00729i	0.0312058	−	0.263757i
$131$	−19.0584	−	2.50909i	−1.66514	−	0.219220i	−0.761699	−	0.647931i	$-0.775634\pi$
$131$	−19.0584	−	2.50909i	−1.66514	−	0.219220i	−0.903442	+	0.428711i	$0.858968\pi$
$132$	19.6105	−	5.23967i	1.70688	−	0.456054i
$133$	−2.27144	−	17.2533i	−0.196959	−	1.49605i
$134$	−3.51455	−	3.42342i	−0.303611	−	0.295739i
$135$	19.4693	−	3.56008i	1.67565	−	0.306403i
$136$	−6.25893	−	2.30810i	−0.536699	−	0.197918i
$137$	−4.69973	+	17.5396i	−0.401525	+	1.49851i	0.408851	+	0.912601i	$0.365929\pi$
$137$	−4.69973	+	17.5396i	−0.401525	+	1.49851i	−0.810376	+	0.585910i	$0.800737\pi$
$138$	−1.17260	+	1.96757i	−0.0998183	+	0.167491i
$139$	−5.59014	+	4.28946i	−0.474149	+	0.363828i	−0.818020	−	0.575189i	$-0.804928\pi$
$139$	−5.59014	+	4.28946i	−0.474149	+	0.363828i	0.343871	+	0.939017i	$0.388262\pi$
$140$	16.0454	−	12.9957i	1.35609	−	1.09833i
$141$	5.28730	+	13.8069i	0.445271	+	1.16275i
$142$	−10.1169	+	1.46734i	−0.848993	+	0.123137i
$143$			3.29413i			0.275469i
$144$	11.5955	−	3.08932i	0.966293	−	0.257444i
$145$		−	21.4285i		−	1.77954i
$146$	−0.0252780	−	0.174285i	−0.00209202	−	0.0144239i
$147$	−0.378039	+	0.466076i	−0.0311801	+	0.0384413i
$148$	−0.518706	+	4.93936i	−0.0426374	+	0.406013i
$149$	−1.95703	+	1.50168i	−0.160326	+	0.123023i	−0.685809	−	0.727782i	$-0.740551\pi$
$149$	−1.95703	+	1.50168i	−0.160326	+	0.123023i	0.525483	+	0.850804i	$0.323885\pi$
$150$	20.3297	−	11.3650i	1.65991	−	0.927948i
$151$	−4.03131	+	15.0451i	−0.328063	+	1.22435i	0.583133	+	0.812377i	$0.301827\pi$
$151$	−4.03131	+	15.0451i	−0.328063	+	1.22435i	−0.911196	+	0.411973i	$0.864840\pi$
$152$	−0.715356	−	18.1456i	−0.0580230	−	1.47180i
$153$	6.72580	+	2.19725i	0.543748	+	0.177637i
$154$	−15.6723	+	16.0895i	−1.26291	+	1.29653i
$155$	−1.63856	−	12.4461i	−0.131613	−	0.999697i
$156$	−0.00138636	+	1.94742i	−0.000110998	+	0.155918i
$157$	6.37100	+	0.838758i	0.508461	+	0.0669402i	0.380393	−	0.924825i	$-0.375789\pi$
$157$	6.37100	+	0.838758i	0.508461	+	0.0669402i	0.128069	+	0.991765i	$0.459122\pi$
$158$	8.78795	+	1.03973i	0.699132	+	0.0827164i
$159$	−6.58356	+	10.7241i	−0.522111	+	0.850478i
$160$	17.9129	−	11.9748i	1.41614	−	0.946690i
$161$		−	2.53450i		−	0.199747i
$162$	−12.1673	+	3.73596i	−0.955951	+	0.293525i
$163$	8.26400	−	3.42306i	0.647287	−	0.268115i	−0.0347911	−	0.999395i	$-0.511077\pi$
$163$	8.26400	−	3.42306i	0.647287	−	0.268115i	0.682078	+	0.731280i	$0.261077\pi$
$164$	5.61049	+	9.15368i	0.438106	+	0.714782i
$165$	−31.2934	+	22.6977i	−2.43619	+	1.76702i
$166$	−7.92822	+	2.23637i	−0.615349	+	0.173576i
$167$	−7.94384	+	2.12855i	−0.614713	+	0.164712i	−0.552723	−	0.833365i	$-0.686411\pi$
$167$	−7.94384	+	2.12855i	−0.614713	+	0.164712i	−0.0619898	+	0.998077i	$0.519745\pi$
$168$	−9.27188	+	9.50514i	−0.715341	+	0.733338i
$169$	12.2518	+	3.28285i	0.942444	+	0.252527i
$170$	12.7037	−	0.166863i	0.974329	−	0.0127978i
$171$	1.48048	+	19.2043i	0.113215	+	1.46859i
$172$	−8.29234	+	3.69287i	−0.632285	+	0.281578i
$173$	15.2329	−	19.8519i	1.15814	−	1.50931i	0.334315	−	0.942461i	$-0.391495\pi$
$173$	15.2329	−	19.8519i	1.15814	−	1.50931i	0.823821	−	0.566850i	$-0.191838\pi$
$174$	1.60935	+	13.6860i	0.122004	+	1.03753i
$175$	−12.8860	+	22.3192i	−0.974089	+	1.68717i
$176$	−17.8202	+	15.2253i	−1.34325	+	1.14765i
$177$	−3.75019	−	6.92019i	−0.281881	−	0.520153i
$178$	−1.58409	−	10.9219i	−0.118733	−	0.818630i
$179$	12.8536	−	5.32414i	0.960723	−	0.397945i	0.153472	−	0.988153i	$-0.450954\pi$
$179$	12.8536	−	5.32414i	0.960723	−	0.397945i	0.807251	+	0.590208i	$0.200954\pi$
$180$	−18.5095	+	13.4052i	−1.37962	+	0.999167i
$181$	2.78768	−	6.73006i	0.207207	−	0.500242i	−0.785774	−	0.618513i	$-0.787735\pi$
$181$	2.78768	−	6.73006i	0.207207	−	0.500242i	0.992981	+	0.118272i	$0.0377353\pi$
$182$	−1.10186	−	1.85187i	−0.0816752	−	0.137270i
$183$	7.52231	+	7.93958i	0.556065	+	0.586911i
$184$	0.241657	−	2.63377i	0.0178152	−	0.194164i
$185$	−2.44810	−	9.13642i	−0.179988	−	0.671723i
$186$	1.98126	+	7.82603i	0.145273	+	0.573833i
$187$	−13.7020	+	1.80390i	−1.00199	+	0.131914i
$188$	−12.3845	−	11.7504i	−0.903234	−	0.856985i
$189$	9.44904	−	10.4437i	0.687317	−	0.759666i
$190$	13.6537	+	31.7759i	0.990540	+	2.30526i
$191$	8.61822	+	14.9272i	0.623593	+	1.08009i	0.988811	+	0.149172i	$0.0476610\pi$
$191$	8.61822	+	14.9272i	0.623593	+	1.08009i	−0.365218	+	0.930922i	$0.619006\pi$
$192$	−10.5413	+	8.99338i	−0.760753	+	0.649041i
$193$	−5.00987	+	8.67734i	−0.360618	+	0.624609i	−0.988063	−	0.154052i	$-0.950768\pi$
$193$	−5.00987	+	8.67734i	−0.360618	+	0.624609i	0.627445	+	0.778661i	$0.284101\pi$
$194$	14.3568	+	1.69860i	1.03076	+	0.121952i
$195$	−1.32636	−	3.46357i	−0.0949827	−	0.248032i
$196$	0.161707	−	0.673823i	0.0115505	−	0.0481302i
$197$	−1.09387	+	2.64083i	−0.0779349	+	0.188152i	−0.958045	−	0.286619i	$-0.907469\pi$
$197$	−1.09387	+	2.64083i	−0.0779349	+	0.188152i	0.880110	+	0.474770i	$0.157469\pi$
$198$	18.2818	−	16.8468i	1.29923	−	1.19725i
$199$	6.26521	−	6.26521i	0.444129	−	0.444129i	−0.449268	−	0.893397i	$-0.648315\pi$
$199$	6.26521	−	6.26521i	0.444129	−	0.444129i	0.893397	+	0.449268i	$0.148315\pi$
$200$	−15.5187	+	21.9647i	−1.09734	+	1.55314i
$201$	−5.76016	−	1.71125i	−0.406291	−	0.120703i
$202$	1.20459	−	2.15118i	0.0847550	−	0.151357i
$203$	−9.28258	−	12.0973i	−0.651509	−	0.849063i
$204$	−8.10107	+	1.06066i	−0.567188	+	0.0742610i
$205$	−16.2218	−	12.4475i	−1.13298	−	0.869368i
$206$	22.4190	+	8.94311i	1.56200	+	0.623096i
$207$	−0.151300	+	2.80118i	−0.0105161	+	0.194696i
$208$	−0.968444	−	2.02946i	−0.0671495	−	0.140718i
$209$	−18.8108	−	32.5812i	−1.30117	−	2.25369i
$210$	10.0001	−	23.2274i	0.690072	−	1.60284i
$211$	12.9872	+	1.70979i	0.894074	+	0.117707i	0.563542	−	0.826088i	$-0.309438\pi$
$211$	12.9872	+	1.70979i	0.894074	+	0.117707i	0.330532	+	0.943795i	$0.392772\pi$
$212$	1.51757	−	14.4510i	0.104227	−	0.992497i
$213$	−10.1350	+	7.35114i	−0.694440	+	0.503692i
$214$	−0.0473980	−	0.0796608i	−0.00324006	−	0.00544550i
$215$	12.2244	−	12.2244i	0.833700	−	0.833700i
$216$	10.8149	−	9.95179i	0.735860	−	0.677133i
$217$	−6.31655	−	6.31655i	−0.428796	−	0.428796i
$218$	−0.476121	+	1.87508i	−0.0322470	+	0.126996i
$219$	−0.126638	−	0.174597i	−0.00855744	−	0.0117981i
$220$	21.2963	−	39.2312i	1.43580	−	2.64497i
$221$	0.173065	−	1.31456i	0.0116416	−	0.0884268i
$222$	2.24973	+	5.65139i	0.150992	+	0.379297i
$223$	−1.79902	+	1.03866i	−0.120471	+	0.0695541i	−0.559025	−	0.829151i	$-0.688824\pi$
$223$	−1.79902	+	1.03866i	−0.120471	+	0.0695541i	0.438553	+	0.898705i	$0.355491\pi$
$224$	4.92528	−	14.5199i	0.329084	−	0.970155i
$225$	15.5742	−	23.8984i	1.03828	−	1.59322i
$226$	−10.3824	−	24.1628i	−0.690630	−	1.60729i
$227$	−3.08185	+	4.01634i	−0.204549	+	0.266574i	−0.884351	−	0.466822i	$-0.845399\pi$
$227$	−3.08185	+	4.01634i	−0.204549	+	0.266574i	0.679802	+	0.733396i	$0.262066\pi$
$228$	−11.1068	−	19.2692i	−0.735565	−	1.27613i
$229$	1.85911	−	1.42654i	0.122853	−	0.0942686i	−0.545507	−	0.838106i	$-0.683663\pi$
$229$	1.85911	−	1.42654i	0.122853	−	0.0942686i	0.668361	+	0.743837i	$0.266996\pi$
$230$	1.36748	+	4.84789i	0.0901688	+	0.319660i
$231$	−7.83404	+	26.3698i	−0.515442	+	1.73500i
$232$	−8.49270	−	13.4562i	−0.557573	−	0.883440i
$233$	10.8262	+	10.8262i	0.709248	+	0.709248i	0.966377	−	0.257129i	$-0.0827765\pi$
$233$	10.8262	+	10.8262i	0.709248	+	0.709248i	−0.257129	+	0.966377i	$0.582777\pi$
$234$	1.10725	+	2.11250i	0.0723830	+	0.138099i
$235$	30.0383	+	12.4423i	1.95948	+	0.811645i
$236$	7.35336	+	5.34153i	0.478663	+	0.347704i
$237$	10.1213	−	3.87592i	0.657450	−	0.251768i
$238$	7.09949	−	5.59729i	0.460191	−	0.362819i
$239$	1.96345	+	1.13360i	0.127005	+	0.0733266i	0.562157	−	0.827031i	$-0.309972\pi$
$239$	1.96345	+	1.13360i	0.127005	+	0.0733266i	−0.435151	+	0.900357i	$0.643305\pi$
$240$	12.6064	−	23.1837i	0.813741	−	1.49650i
$241$	4.12298	−	2.38041i	0.265585	−	0.153335i	−0.361295	−	0.932452i	$-0.617665\pi$
$241$	4.12298	−	2.38041i	0.265585	−	0.153335i	0.626879	+	0.779116i	$0.284332\pi$
$242$	−12.2276	+	30.6526i	−0.786019	+	1.97043i
$243$	−11.0667	+	10.9785i	−0.709931	+	0.704271i
$244$	−11.7908	−	4.52485i	−0.754826	−	0.289674i
$245$	0.172259	+	1.30844i	0.0110052	+	0.0835931i
$246$	11.2954	+	6.73163i	0.720169	+	0.429193i
$247$	3.48640	−	0.934177i	0.221834	−	0.0594402i
$248$	−5.96168	−	7.16621i	−0.378567	−	0.455055i
$249$	−7.32383	+	6.93892i	−0.464129	+	0.439736i
$250$	5.97693	−	23.5386i	0.378014	−	1.48871i
$251$	2.21168	+	0.916109i	0.139600	+	0.0578243i	0.451390	−	0.892327i	$-0.350928\pi$
$251$	2.21168	+	0.916109i	0.139600	+	0.0578243i	−0.311790	+	0.950151i	$0.600928\pi$
$252$	−4.64241	+	15.5859i	−0.292445	+	0.981821i
$253$	−2.09684	−	5.06221i	−0.131827	−	0.318258i
$254$	−12.1036	−	9.03735i	−0.759447	−	0.567054i
$255$	13.6804	−	7.41370i	0.856703	−	0.464264i
$256$	6.50261	−	14.6190i	0.406413	−	0.913689i
$257$	−19.0117	−	10.9764i	−1.18592	−	0.684689i	−0.228541	−	0.973534i	$-0.573395\pi$
$257$	−19.0117	−	10.9764i	−1.18592	−	0.684689i	−0.957376	+	0.288845i	$0.906729\pi$
$258$	−6.88942	+	8.72560i	−0.428916	+	0.543232i
$259$	−5.33984	−	4.09741i	−0.331802	−	0.254600i
$260$	3.10676	+	2.94768i	0.192673	+	0.182807i
$261$	9.53714	+	13.9243i	0.590334	+	0.861894i
$262$	18.9687	−	19.4737i	1.17189	−	1.20309i
$263$	3.80787	−	14.2112i	0.234803	−	0.876298i	−0.743434	−	0.668809i	$-0.766804\pi$
$263$	3.80787	−	14.2112i	0.234803	−	0.876298i	0.978237	−	0.207489i	$-0.0665290\pi$
$264$	−10.6551	+	26.6556i	−0.655779	+	1.64054i
$265$	7.16234	+	26.7302i	0.439979	+	1.64202i
$266$	21.4730	+	12.0242i	1.31659	+	0.737252i
$267$	−7.93604	−	10.9414i	−0.485677	−	0.669604i
$268$	6.85305	−	1.08604i	0.418617	−	0.0663404i
$269$	4.02058	+	9.70653i	0.245139	+	0.591818i	0.997779	−	0.0666147i	$-0.0212198\pi$
$269$	4.02058	+	9.70653i	0.245139	+	0.591818i	−0.752640	+	0.658432i	$0.771220\pi$
$270$	−12.4389	+	25.0744i	−0.757008	+	1.52598i
$271$	−13.8043			−0.838554			−0.419277	−	0.907858i	$-0.637716\pi$
$271$	−13.8043			−0.838554			−0.419277	+	0.907858i	$0.637716\pi$
$272$	7.91123	−	5.13960i	0.479689	−	0.311634i
$273$	−2.24917	−	1.38077i	−0.136126	−	0.0835679i
$274$	−15.8991	−	20.1661i	−0.960499	−	1.21828i
$275$	−7.27240	+	55.2394i	−0.438542	+	3.33106i
$276$	−1.23747	−	2.99355i	−0.0744871	−	0.180191i
$277$	15.1103	−	1.98931i	0.907891	−	0.119526i	0.337905	−	0.941180i	$-0.390282\pi$
$277$	15.1103	−	1.98931i	0.907891	−	0.119526i	0.569986	+	0.821654i	$0.306949\pi$
$278$	−0.130877	−	9.96399i	−0.00784947	−	0.597601i
$279$	6.60411	+	7.35826i	0.395378	+	0.440528i
$280$	1.15029	+	29.1781i	0.0687430	+	1.74373i
$281$	7.70085	+	2.06344i	0.459394	+	0.123094i	0.481092	−	0.876670i	$-0.340240\pi$
$281$	7.70085	+	2.06344i	0.459394	+	0.123094i	−0.0216976	+	0.999765i	$0.506907\pi$
$282$	−20.1194	−	5.69067i	−1.19809	−	0.338875i
$283$	12.1975	+	15.8961i	0.725065	+	0.944923i	0.999863	−	0.0165790i	$-0.00527751\pi$
$283$	12.1975	+	15.8961i	0.725065	+	0.944923i	−0.274798	+	0.961502i	$0.588611\pi$
$284$	6.89725	−	12.7058i	0.409277	−	0.753953i
$285$	32.8969	+	26.6830i	1.94865	+	1.58057i
$286$	−3.73285	−	2.78719i	−0.220728	−	0.164810i
$287$	−14.5500			−0.858859
$288$	−6.31031	+	15.7537i	−0.371838	+	0.928297i
$289$	−11.4373			−0.672783
$290$	24.2824	+	18.1308i	1.42591	+	1.06468i
$291$	16.5351	−	6.33206i	0.969306	−	0.371192i
$292$	0.218884	+	0.118819i	0.0128092	+	0.00695338i
$293$	−15.6947	−	20.4537i	−0.916894	−	1.19492i	−0.980416	−	0.196939i	$-0.936900\pi$
$293$	−15.6947	−	20.4537i	−0.916894	−	1.19492i	0.0635218	−	0.997980i	$-0.479767\pi$
$294$	−0.208286	−	0.822737i	−0.0121475	−	0.0479830i
$295$	−16.7195	−	4.47998i	−0.973448	−	0.260835i
$296$	−5.15831	−	4.76702i	−0.299821	−	0.277078i
$297$	10.2325	−	28.6767i	0.593751	−	1.66399i
$298$	−0.0458182	−	3.48826i	−0.00265418	−	0.202070i
$299$	0.521183	−	0.0686150i	0.0301408	−	0.00396811i
$300$	−4.32253	+	32.6532i	−0.249562	+	1.88524i
$301$	1.60573	−	12.1967i	0.0925525	−	0.703006i
$302$	−13.6379	−	17.2980i	−0.784770	−	0.995386i
$303$	0.0814597	−	3.01850i	0.00467974	−	0.173408i
$304$	21.1675	+	14.5425i	1.21404	+	0.834072i
$305$	24.0522			1.37723
$306$	−8.18064	+	5.76243i	−0.467656	+	0.329416i
$307$	−1.30494	−	3.15040i	−0.0744767	−	0.179803i	0.882257	−	0.470769i	$-0.156023\pi$
$307$	−1.30494	−	3.15040i	−0.0744767	−	0.179803i	−0.956733	+	0.290966i	$0.906023\pi$
$308$	−4.97184	−	31.3730i	−0.283297	−	1.78764i
$309$	29.4020	−	3.06649i	1.67262	−	0.174446i
$310$	15.4901	+	8.67398i	0.879780	+	0.492649i
$311$	5.10249	+	19.0427i	0.289335	+	1.07981i	0.945613	+	0.325295i	$0.105463\pi$
$311$	5.10249	+	19.0427i	0.289335	+	1.07981i	−0.656277	+	0.754520i	$0.727870\pi$
$312$	−2.20561	−	1.64930i	−0.124868	−	0.0933732i
$313$	−5.97540	+	22.3005i	−0.337749	+	1.26050i	0.563108	+	0.826383i	$0.309605\pi$
$313$	−5.97540	+	22.3005i	−0.337749	+	1.26050i	−0.900858	+	0.434115i	$0.857061\pi$
$314$	−6.34102	+	6.50982i	−0.357845	+	0.367370i
$315$	−2.38061	−	30.8805i	−0.134132	−	1.73992i
$316$	−8.61377	+	9.07862i	−0.484562	+	0.510712i
$317$	16.6045	+	12.7411i	0.932600	+	0.715609i	0.958810	−	0.284048i	$-0.0916774\pi$
$317$	16.6045	+	12.7411i	0.932600	+	0.715609i	−0.0262106	+	0.999656i	$0.508344\pi$
$318$	−6.58197	−	16.5341i	−0.369098	−	0.927189i
$319$	−28.5486	−	16.4825i	−1.59841	−	0.922845i
$320$	−1.58670	+	30.4306i	−0.0886992	+	1.70112i
$321$	−0.0967510	−	0.0593957i	−0.00540012	−	0.00331514i
$322$	2.87205	+	2.14446i	0.160053	+	0.119506i
$323$	5.79490	+	13.9901i	0.322437	+	0.778432i
$324$	6.06132	−	16.9488i	0.336740	−	0.941598i
$325$	−4.93847	−	2.04558i	−0.273937	−	0.113468i
$326$	−3.11329	+	12.2609i	−0.172429	+	0.679068i
$327$	0.551275	+	2.30435i	0.0304855	+	0.127431i
$328$	−15.1199	−	1.38730i	−0.834855	−	0.0766006i
$329$	22.3478	−	5.98806i	1.23207	−	0.330133i
$330$	0.756958	−	54.6659i	0.0416692	−	3.00926i
$331$	−2.32217	−	17.6386i	−0.127638	−	0.969506i	−0.928676	−	0.370893i	$-0.879052\pi$
$331$	−2.32217	−	17.6386i	−0.127638	−	0.969506i	0.801038	−	0.598614i	$-0.204282\pi$
$332$	4.17393	−	10.8763i	0.229074	−	0.596916i
$333$	5.65711	+	4.84731i	0.310008	+	0.265631i
$334$	4.30932	−	10.8028i	0.235796	−	0.591103i
$335$	−11.4441	+	6.60724i	−0.625257	+	0.360992i
$336$	−2.92604	−	18.5491i	−0.159628	−	1.01194i
$337$	−23.6729	−	13.6676i	−1.28955	−	0.744521i	−0.310974	−	0.950418i	$-0.600655\pi$
$337$	−23.6729	−	13.6676i	−1.28955	−	0.744521i	−0.978574	+	0.205898i	$0.933989\pi$
$338$	−14.0864	+	11.1058i	−0.766199	+	0.604077i
$339$	−25.0153	−	20.2902i	−1.35865	−	1.10201i
$340$	−10.5596	+	14.5368i	−0.572676	+	0.788367i
$341$	−17.8420	−	7.39039i	−0.966198	−	0.400212i
$342$	−23.0146	−	14.5713i	−1.24449	−	0.787924i
$343$	−12.7519	−	12.7519i	−0.688540	−	0.688540i
$344$	2.83153	−	12.5213i	0.152666	−	0.675103i
$345$	4.24296	+	4.47832i	0.228433	+	0.241105i
$346$	9.60712	+	34.0585i	0.516482	+	1.83100i
$347$	23.9755	−	18.3970i	1.28707	−	0.987604i	0.287515	−	0.957776i	$-0.407171\pi$
$347$	23.9755	−	18.3970i	1.28707	−	0.987604i	0.999555	−	0.0298279i	$-0.00949593\pi$
$348$	−16.8704	−	9.75613i	−0.904347	−	0.522984i
$349$	−6.93229	+	9.03433i	−0.371077	+	0.483597i	−0.941146	−	0.338000i	$-0.890250\pi$
$349$	−6.93229	+	9.03433i	−0.371077	+	0.483597i	0.570069	+	0.821597i	$0.306916\pi$
$350$	−14.3887	−	33.4866i	−0.769110	−	1.78993i
$351$	2.40340	+	1.66032i	0.128284	+	0.0886214i
$352$	−2.17525	−	33.0758i	−0.115941	−	1.76294i
$353$	−13.5544	+	7.82565i	−0.721429	+	0.416517i	−0.815278	−	0.579069i	$-0.803416\pi$
$353$	−13.5544	+	7.82565i	−0.721429	+	0.416517i	0.0938493	+	0.995586i	$0.470083\pi$
$354$	11.0149	+	1.60559i	0.585435	+	0.0853360i
$355$	−3.59386	+	27.2981i	−0.190742	+	1.44883i
$356$	13.7168	+	7.44604i	0.726988	+	0.394639i
$357$	4.51166	−	10.1116i	0.238782	−	0.535160i
$358$	−4.84233	+	19.0703i	−0.255925	+	1.00789i
$359$	−20.5912	−	20.5912i	−1.08676	−	1.08676i	−0.995860	−	0.0908994i	$-0.971026\pi$
$359$	−20.5912	−	20.5912i	−1.08676	−	1.08676i	−0.0908994	−	0.995860i	$-0.528974\pi$
$360$	0.470503	−	32.3169i	0.0247977	−	1.70325i
$361$	−15.7132	+	15.7132i	−0.827013	+	0.827013i
$362$	5.26770	+	8.85332i	0.276864	+	0.465320i
$363$	4.19270	+	40.2004i	0.220060	+	2.10997i
$364$	3.03080	+	0.318278i	0.158857	+	0.0166823i
$365$	−0.470266	−	0.0619117i	−0.0246149	−	0.00324061i
$366$	−15.3617	+	1.80640i	−0.802968	+	0.0944219i
$367$	7.05600	+	12.2214i	0.368320	+	0.637950i	0.989303	−	0.145875i	$-0.0465996\pi$
$367$	7.05600	+	12.2214i	0.368320	+	0.637950i	−0.620983	+	0.783824i	$0.713266\pi$
$368$	2.78007	+	2.50229i	0.144921	+	0.130441i
$369$	16.0810	+	0.868582i	0.837141	+	0.0452166i
$370$	12.4246	+	4.95627i	0.645923	+	0.257664i
$371$	15.6227	+	11.9877i	0.811088	+	0.622370i
$372$	−10.5447	−	4.37655i	−0.546716	−	0.226913i
$373$	11.2045	+	14.6020i	0.580148	+	0.756064i	0.987571	−	0.157176i	$-0.0502389\pi$
$373$	11.2045	+	14.6020i	0.580148	+	0.756064i	−0.407422	+	0.913240i	$0.633572\pi$
$374$	9.54922	−	17.0531i	0.493778	−	0.881796i
$375$	−6.92036	−	28.9274i	−0.357366	−	1.49380i
$376$	23.7940	−	4.09180i	1.22708	−	0.211019i
$377$	2.23633	−	2.23633i	0.115177	−	0.115177i
$378$	3.83967	+	19.5440i	0.197491	+	1.00523i
$379$	1.49216	−	3.60239i	0.0766470	−	0.185042i	−0.880912	−	0.473281i	$-0.843070\pi$
$379$	1.49216	−	3.60239i	0.0766470	−	0.185042i	0.957559	+	0.288239i	$0.0930696\pi$
$380$	−47.5603	−	11.4138i	−2.43979	−	0.585514i
$381$	−18.2701	−	2.90869i	−0.936005	−	0.149017i
$382$	−24.2072	−	2.86402i	−1.23855	−	0.146536i
$383$	6.15914	−	10.6679i	0.314717	−	0.545107i	−0.664660	−	0.747146i	$-0.731424\pi$
$383$	6.15914	−	10.6679i	0.314717	−	0.545107i	0.979377	+	0.202039i	$0.0647569\pi$
$384$	−1.27204	−	19.5546i	−0.0649135	−	0.997891i
$385$	30.2477	+	52.3905i	1.54156	+	2.67007i
$386$	−5.59411	−	13.0191i	−0.284733	−	0.662653i
$387$	−2.50278	+	13.3842i	−0.127223	+	0.680356i
$388$	−14.0722	+	14.8317i	−0.714410	+	0.752965i
$389$	−15.7380	+	2.07194i	−0.797947	+	0.105052i	−0.518465	−	0.855099i	$-0.673496\pi$
$389$	−15.7380	+	2.07194i	−0.797947	+	0.105052i	−0.279483	+	0.960151i	$0.590163\pi$
$390$	5.04710	+	1.42755i	0.255570	+	0.0722869i
$391$	0.570810	+	2.13029i	0.0288671	+	0.107733i
$392$	0.626741	+	0.753371i	0.0316552	+	0.0380510i
$393$	9.48183	−	31.9163i	0.478295	−	1.60996i
$394$	−2.06701	−	3.47398i	−0.104134	−	0.175017i
$395$	9.12097	−	22.0200i	0.458926	−	1.10794i
$396$	3.62212	+	34.9709i	0.182019	+	1.75735i
$397$	−14.5815	+	6.03985i	−0.731824	+	0.303131i	−0.717301	−	0.696763i	$-0.754623\pi$
$397$	−14.5815	+	6.03985i	−0.731824	+	0.303131i	−0.0145227	+	0.999895i	$0.504623\pi$
$398$	1.79857	+	12.4007i	0.0901543	+	0.621590i
$399$	30.1305	+	0.813127i	1.50841	+	0.0407073i
$400$	−11.7594	−	36.1701i	−0.587972	−	1.80850i
$401$	−18.3430	+	31.7710i	−0.916004	+	1.58657i	−0.110580	+	0.993867i	$0.535271\pi$
$401$	−18.3430	+	31.7710i	−0.916004	+	1.58657i	−0.805424	+	0.592699i	$0.798062\pi$
$402$	6.81288	−	5.07940i	0.339796	−	0.253338i
$403$	1.12790	−	1.46991i	0.0561848	−	0.0732215i
$404$	1.41846	+	3.18516i	0.0705711	+	0.158468i
$405$	0.787651	+	34.2719i	0.0391387	+	1.70298i
$406$	21.5625	−	0.283223i	1.07013	−	0.0140561i
$407$	−14.0552	−	3.76609i	−0.696692	−	0.186678i
$408$	5.65247	−	10.0774i	0.279839	−	0.498906i
$409$	9.98307	−	2.67495i	0.493631	−	0.132268i	−0.00341162	−	0.999994i	$-0.501086\pi$
$409$	9.98307	−	2.67495i	0.493631	−	0.132268i	0.497043	+	0.867726i	$0.334419\pi$
$410$	27.8307	−	7.85039i	1.37446	−	0.387703i
$411$	−28.7218	−	12.8153i	−1.41674	−	0.632134i
$412$	−29.1030	+	17.8379i	−1.43380	+	0.878811i
$413$	−11.3795	+	4.71356i	−0.559951	+	0.231939i
$414$	−3.04623	−	2.54155i	−0.149714	−	0.124911i
$415$			22.1868i			1.08911i
$416$	3.11915	+	0.619721i	0.152929	+	0.0303843i
$417$	−5.81485	−	10.7301i	−0.284754	−	0.525455i
$418$	52.8363	+	6.25122i	2.58431	+	0.305757i
$419$	−10.2793	−	1.35330i	−0.502179	−	0.0661131i	−0.124818	−	0.992180i	$-0.539835\pi$
$419$	−10.2793	−	1.35330i	−0.502179	−	0.0661131i	−0.377360	+	0.926067i	$0.623168\pi$
$420$	17.8597	+	30.9848i	0.871464	+	1.51190i
$421$	1.64509	+	12.4957i	0.0801767	+	0.609002i	0.983615	+	0.180283i	$0.0577015\pi$
$421$	1.64509	+	12.4957i	0.0801767	+	0.609002i	−0.903438	+	0.428719i	$0.858965\pi$
$422$	−12.9261	+	13.2701i	−0.629231	+	0.645981i
$423$	−25.0567	+	5.28405i	−1.21830	+	0.256919i
$424$	15.0915	+	13.9468i	0.732910	+	0.677315i
$425$	5.80426	−	21.6618i	0.281548	−	1.05075i
$426$	0.245157	−	17.7047i	0.0118779	−	0.857794i
$427$	13.5785	−	10.4191i	0.657109	−	0.504218i
$428$	0.130374	+	0.0136912i	0.00630186	+	0.000661789i
$429$	−5.63464	−	0.897064i	−0.272043	−	0.0433106i
$430$	3.50930	+	24.1957i	0.169234	+	1.16682i
$431$			8.95536i			0.431364i	0.976464	+	0.215682i	$0.0691975\pi$
$431$			8.95536i			0.431364i	−0.976464	+	0.215682i	$0.930802\pi$
$432$	2.12660	+	20.6755i	0.102316	+	0.994752i
$433$			8.80215i			0.423004i	0.977378	+	0.211502i	$0.0678355\pi$
$433$			8.80215i			0.423004i	−0.977378	+	0.211502i	$0.932164\pi$
$434$	12.5023	−	1.81331i	0.600129	−	0.0870417i
$435$	36.6537	+	5.83544i	1.75741	+	0.279788i
$436$	−1.72195	−	2.12605i	−0.0824667	−	0.101819i
$437$	−4.76303	+	3.65480i	−0.227847	+	0.174833i
$438$	0.305000	+	0.00422333i	0.0145734	+	0.000201798i
$439$	−0.753257	+	2.81119i	−0.0359510	+	0.134171i	−0.981569	−	0.191109i	$-0.938792\pi$
$439$	−0.753257	+	2.81119i	−0.0359510	+	0.134171i	0.945618	+	0.325280i	$0.105458\pi$
$440$	26.4371	+	57.3264i	1.26034	+	2.73293i
$441$	−0.694279	−	0.773561i	−0.0330609	−	0.0368362i
$442$	1.34320	+	1.30837i	0.0638896	+	0.0622330i
$443$	2.39207	+	18.1696i	0.113651	+	0.863262i	0.949382	+	0.314124i	$0.101711\pi$
$443$	2.39207	+	18.1696i	0.113651	+	0.863262i	−0.835731	+	0.549138i	$0.814956\pi$
$444$	−8.30757	−	2.23235i	−0.394260	−	0.105942i
$445$	−29.4701	−	3.87981i	−1.39702	−	0.183921i
$446$	0.345171	−	2.91744i	0.0163443	−	0.138145i
$447$	−2.03570	−	3.75646i	−0.0962854	−	0.177675i
$448$	12.2864	+	17.8667i	0.580479	+	0.844122i
$449$		−	5.30563i		−	0.250388i	−0.992132	−	0.125194i	$-0.960045\pi$
$449$		−	5.30563i		−	0.250388i	0.992132	−	0.125194i	$-0.0399554\pi$
$450$	13.9037	+	37.8691i	0.655427	+	1.78516i
$451$	−29.0610	+	12.0375i	−1.36843	+	0.566822i
$452$	36.1656	+	8.67920i	1.70108	+	0.408235i
$453$	−24.6369	−	10.9927i	−1.15754	−	0.516482i
$454$	−1.94367	−	6.89055i	−0.0912208	−	0.323390i
$455$	−5.60612	+	1.50215i	−0.262819	+	0.0704221i
$456$	31.2330	+	3.71782i	1.46262	+	0.174103i
$457$	4.15287	+	1.11276i	0.194263	+	0.0520527i	0.354639	−	0.935003i	$-0.384604\pi$
$457$	4.15287	+	1.11276i	0.194263	+	0.0520527i	−0.160376	+	0.987056i	$0.551271\pi$
$458$	0.0435255	+	3.31371i	0.00203381	+	0.154840i
$459$	−5.59000	+	10.9062i	−0.260919	+	0.509057i
$460$	−6.65057	−	2.55224i	−0.310085	−	0.118999i
$461$	13.7965	−	17.9799i	0.642566	−	0.837408i	−0.352584	−	0.935780i	$-0.614697\pi$
$461$	13.7965	−	17.9799i	0.642566	−	0.837408i	0.995150	+	0.0983719i	$0.0313635\pi$
$462$	−23.2533	−	31.1891i	−1.08184	−	1.45105i
$463$	−3.19658	+	5.53663i	−0.148558	+	0.257309i	−0.930695	−	0.365797i	$-0.880796\pi$
$463$	−3.19658	+	5.53663i	−0.148558	+	0.257309i	0.782137	+	0.623106i	$0.214130\pi$
$464$	22.4340	+	1.76160i	1.04147	+	0.0817803i
$465$	21.7354	+	0.586571i	1.00796	+	0.0272016i
$466$	−21.4282	+	3.10791i	−0.992642	+	0.143971i
$467$	−19.4944	+	8.07485i	−0.902094	+	0.373660i	−0.785025	−	0.619464i	$-0.787350\pi$
$467$	−19.4944	+	8.07485i	−0.902094	+	0.373660i	−0.117069	+	0.993124i	$0.537350\pi$
$468$	−3.33070	−	0.532696i	−0.153962	−	0.0246239i
$469$	−3.59848	+	8.68751i	−0.166163	+	0.401152i
$470$	−39.5151	+	23.5114i	−1.82269	+	1.08450i
$471$	−3.16966	+	10.6692i	−0.146050	+	0.491613i
$472$	−12.2747	+	3.81317i	−0.564987	+	0.175515i
$473$	−6.88339	−	25.6892i	−0.316499	−	1.18119i
$474$	−4.17161	+	14.7487i	−0.191609	+	0.677432i
$475$	60.5258	−	7.96837i	2.77711	−	0.365614i
$476$	0.335812	+	12.7809i	0.0153919	+	0.585813i
$477$	−16.5509	−	14.1817i	−0.757812	−	0.649333i
$478$	−2.94587	+	1.26580i	−0.134741	+	0.0578964i
$479$	−20.1298	−	34.8658i	−0.919753	−	1.59306i	−0.799790	−	0.600280i	$-0.795056\pi$
$479$	−20.1298	−	34.8658i	−0.919753	−	1.59306i	−0.119963	−	0.992778i	$-0.538278\pi$
$480$	15.6049	+	33.9013i	0.712263	+	1.54737i
$481$	0.698009	−	1.20899i	0.0318265	−	0.0551251i
$482$	−0.791060	+	6.68617i	−0.0360318	+	0.304547i
$483$	4.33528	+	0.690199i	0.197262	+	0.0314051i
$484$	−24.3891	−	39.7915i	−1.10860	−	1.80871i
$485$	14.9009	−	35.9739i	0.676613	−	1.63349i
$486$	−3.07698	−	21.8296i	−0.139575	−	0.990212i
$487$	−7.27344	+	7.27344i	−0.329591	+	0.329591i	−0.852431	−	0.522840i	$-0.824873\pi$
$487$	−7.27344	+	7.27344i	−0.329591	+	0.329591i	0.522840	+	0.852431i	$0.324873\pi$
$488$	15.1037	−	9.53255i	0.683714	−	0.431518i
$489$	3.60471	+	15.0678i	0.163011	+	0.681391i
$490$	−1.62845	−	0.911880i	−0.0735658	−	0.0411946i
$491$	−2.23847	−	2.91724i	−0.101021	−	0.131653i	0.740107	−	0.672489i	$-0.234775\pi$
$491$	−2.23847	−	2.91724i	−0.101021	−	0.131653i	−0.841128	+	0.540836i	$0.818108\pi$
$492$	−17.1853	+	7.10406i	−0.774773	+	0.320276i
$493$	10.5267	+	8.07740i	0.474098	+	0.363788i
$494$	−1.89128	+	4.74113i	−0.0850926	+	0.213314i
$495$	−30.3028	−	59.7087i	−1.36201	−	2.68371i
$496$	13.1649	−	0.692277i	0.591119	−	0.0310842i
$497$	9.79633	+	16.9677i	0.439426	+	0.761108i
$498$	−1.66630	−	14.1703i	−0.0746688	−	0.634987i
$499$	−41.3611	−	5.44529i	−1.85158	−	0.243765i	−0.879078	−	0.476678i	$-0.841841\pi$
$499$	−41.3611	−	5.44529i	−1.85158	−	0.243765i	−0.972498	+	0.232913i	$0.925174\pi$
$500$	21.6164	+	26.6892i	0.966713	+	1.19358i
$501$	−1.47762	−	14.1677i	−0.0660151	−	0.632964i
$502$	−2.90944	+	1.73111i	−0.129855	+	0.0772633i
$503$	27.6901	−	27.6901i	1.23464	−	1.23464i	0.272479	−	0.962162i	$-0.412156\pi$
$503$	27.6901	−	27.6901i	1.23464	−	1.23464i	0.962162	−	0.272479i	$-0.0878435\pi$
$504$	−13.7337	−	18.4481i	−0.611748	−	0.821743i
$505$	−4.69551	−	4.69551i	−0.208948	−	0.208948i
$506$	7.51055	+	1.90708i	0.333885	+	0.0847802i
$507$	−8.95177	+	20.0628i	−0.397562	+	0.891019i
$508$	20.4819	−	6.06899i	0.908738	−	0.269268i
$509$	−0.946763	+	7.19138i	−0.0419645	+	0.318752i	0.957569	+	0.288205i	$0.0930584\pi$
$509$	−0.946763	+	7.19138i	−0.0419645	+	0.318752i	−0.999533	+	0.0305474i	$0.990275\pi$
$510$	−3.17407	+	21.7752i	−0.140550	+	0.964223i
$511$	−0.292304	+	0.168762i	−0.0129308	+	0.00746559i
$512$	11.0641	+	19.7379i	0.488969	+	0.872301i
$513$	−33.2523	−	2.69737i	−1.46812	−	0.119092i
$514$	28.5242	−	12.2565i	1.25815	−	0.540609i
$515$	39.5752	−	51.5754i	1.74389	−	2.27268i
$516$	−4.05850	−	15.1898i	−0.178665	−	0.668692i
$517$	39.6816	−	30.4488i	1.74520	−	1.33914i
$518$	9.16119	−	2.58416i	0.402520	−	0.113542i
$519$	29.8086	+	31.4621i	1.30845	+	1.38103i
$520$	−5.96891	+	1.02646i	−0.261754	+	0.0450134i
$521$	−23.8584	−	23.8584i	−1.04526	−	1.04526i	−0.998926	−	0.0463307i	$-0.985247\pi$
$521$	−23.8584	−	23.8584i	−1.04526	−	1.04526i	−0.0463307	−	0.998926i	$-0.514753\pi$
$522$	−23.8482	−	0.974180i	−1.04381	−	0.0426387i
$523$	20.0547	+	8.30693i	0.876931	+	0.363237i	0.775306	−	0.631586i	$-0.217596\pi$
$523$	20.0547	+	8.30693i	0.876931	+	0.363237i	0.101625	+	0.994823i	$0.467596\pi$
$524$	6.01759	+	37.9719i	0.262880	+	1.65881i
$525$	−34.6680	−	28.1196i	−1.51304	−	1.22724i
$526$	12.8820	+	16.3392i	0.561680	+	0.712423i
$527$	6.73176	+	3.88659i	0.293240	+	0.169302i
$528$	−21.1902	−	34.6278i	−0.922187	−	1.50698i
$529$	19.1613	−	11.0628i	0.833102	−	0.480992i
$530$	−36.3503	−	14.5004i	−1.57896	−	0.629858i
$531$	12.8583	−	4.53021i	0.558003	−	0.196594i
$532$	−31.7941	+	14.1590i	−1.37845	+	0.613871i
$533$	−0.393904	−	2.99199i	−0.0170619	−	0.129598i
$534$	19.1134	+	0.264663i	0.827116	+	0.0114531i
$535$	−0.241155	+	0.0646173i	−0.0104260	+	0.00279365i
$536$	−4.56775	+	8.68466i	−0.197297	+	0.375120i
$537$	5.60667	+	23.4361i	0.241946	+	1.01134i
$538$	−14.4011	−	3.65674i	−0.620876	−	0.157653i
$539$	1.87570	+	0.776939i	0.0807919	+	0.0334651i
$540$	−17.8892	−	35.3112i	−0.769830	−	1.51955i
$541$	−11.3812	−	27.4765i	−0.489314	−	1.18131i	−0.955066	−	0.296393i	$-0.904216\pi$
$541$	−11.3812	−	27.4765i	−0.489314	−	1.18131i	0.465752	−	0.884915i	$-0.345784\pi$
$542$	11.6800	−	15.6428i	0.501698	−	0.671917i
$543$	10.7527	+	6.60110i	0.461442	+	0.283280i
$544$	−0.869657	+	13.3135i	−0.0372862	+	0.570813i
$545$	4.51246	+	2.60527i	0.193292	+	0.111597i
$546$	3.46770	−	1.38043i	0.148404	−	0.0590771i
$547$	15.7431	+	12.0801i	0.673125	+	0.516507i	0.887830	−	0.460172i	$-0.152212\pi$
$547$	15.7431	+	12.0801i	0.673125	+	0.516507i	−0.214705	+	0.976679i	$0.568879\pi$
$548$	36.3042	−	0.953873i	1.55084	−	0.0407474i
$549$	−15.6292	+	10.7049i	−0.667039	+	0.456872i
$550$	−56.4430	−	54.9795i	−2.40674	−	2.34433i
$551$	−9.34850	+	34.8891i	−0.398260	+	1.48633i
$552$	4.43927	+	1.13059i	0.188948	+	0.0481210i
$553$	−4.38962	−	16.3823i	−0.186666	−	0.696646i
$554$	−10.5307	+	18.8059i	−0.447407	+	0.798986i
$555$	16.2946	−	1.69945i	0.691667	−	0.0721375i
$556$	11.4017	+	8.28231i	0.483542	+	0.351248i
$557$	15.4564	+	37.3150i	0.654908	+	1.58109i	0.805568	+	0.592503i	$0.201860\pi$
$557$	15.4564	+	37.3150i	0.654908	+	1.58109i	−0.150660	+	0.988586i	$0.548140\pi$
$558$	−13.9260	+	1.25777i	−0.589536	+	0.0532455i
$559$	2.55154			0.107919
$560$	−34.0374	−	23.3844i	−1.43834	−	0.988170i
$561$	0.645758	−	23.9286i	0.0272639	−	1.01027i
$562$	−8.85400	+	6.98057i	−0.373484	+	0.294457i
$563$	1.70048	−	12.9164i	0.0716666	−	0.544362i	−0.917519	−	0.397692i	$-0.869811\pi$
$563$	1.70048	−	12.9164i	0.0716666	−	0.544362i	0.989186	−	0.146670i	$-0.0468555\pi$
$564$	23.4717	−	17.9840i	0.988338	−	0.757261i
$565$	−70.2268	+	9.24553i	−2.95446	+	0.388963i
$566$	−28.3335	+	0.372160i	−1.19095	+	0.0156431i
$567$	15.2908	+	19.0067i	0.642155	+	0.798207i
$568$	8.56220	+	18.5664i	0.359262	+	0.779027i
$569$	−26.7815	−	7.17609i	−1.12274	−	0.300837i	−0.350748	−	0.936470i	$-0.614073\pi$
$569$	−26.7815	−	7.17609i	−1.12274	−	0.300837i	−0.771992	+	0.635633i	$0.780739\pi$
$570$	−58.0711	+	14.7014i	−2.43233	+	0.615776i
$571$	−8.80818	−	11.4790i	−0.368611	−	0.480383i	0.571815	−	0.820383i	$-0.306240\pi$
$571$	−8.80818	−	11.4790i	−0.368611	−	0.480383i	−0.940425	+	0.340000i	$0.889573\pi$
$572$	6.31679	−	1.87173i	0.264118	−	0.0782609i
$573$	−27.8800	+	10.6765i	−1.16471	+	0.446019i
$574$	12.3109	−	16.4878i	0.513846	−	0.688187i
$575$	8.89120			0.370789
$576$	−12.5126	−	20.4801i	−0.521360	−	0.853337i
$577$	19.5634			0.814436			0.407218	−	0.913331i	$-0.366499\pi$
$577$	19.5634			0.814436			0.407218	+	0.913331i	$0.366499\pi$
$578$	9.67720	−	12.9605i	0.402519	−	0.539087i
$579$	−13.4784	−	10.9324i	−0.560142	−	0.454337i
$580$	−41.0911	+	12.1757i	−1.70621	+	0.505568i
$581$	9.61108	+	12.5254i	0.398735	+	0.519641i
$582$	−6.81514	+	24.0949i	−0.282497	+	0.998766i
$583$	41.1211	+	11.0184i	1.70306	+	0.456334i
$584$	−0.319844	+	0.147502i	−0.0132352	+	0.00610366i
$585$	6.28567	−	1.32555i	0.259881	−	0.0548047i
$586$	36.4572	−	0.478864i	1.50603	−	0.0197817i
$587$	−1.94491	+	0.256052i	−0.0802750	+	0.0105684i	−0.170557	−	0.985348i	$-0.554557\pi$
$587$	−1.94491	+	0.256052i	−0.0802750	+	0.0105684i	0.0902817	+	0.995916i	$0.471223\pi$
$588$	1.10854	+	0.460099i	0.0457156	+	0.0189741i
$589$	−2.76196	+	20.9792i	−0.113805	+	0.864431i
$590$	19.2232	−	15.1557i	0.791405	−	0.623950i
$591$	−4.21928	−	2.59023i	−0.173558	−	0.106548i
$592$	9.76639	−	1.81188i	0.401396	−	0.0744679i
$593$	−29.2396			−1.20072			−0.600362	−	0.799728i	$-0.704977\pi$
$593$	−29.2396			−1.20072			−0.600362	+	0.799728i	$0.704977\pi$
$594$	23.8381	+	35.8590i	0.978090	+	1.47131i
$595$	−9.31819	−	22.4961i	−0.382009	−	0.922251i
$596$	3.99160	+	2.89953i	0.163502	+	0.118769i
$597$	9.01055	+	12.4229i	0.368777	+	0.508434i
$598$	−0.363224	+	0.648650i	−0.0148533	+	0.0265253i
$599$	−8.98714	−	33.5405i	−0.367205	−	1.37043i	−0.864407	−	0.502792i	$-0.832306\pi$
$599$	−8.98714	−	33.5405i	−0.367205	−	1.37043i	0.497203	−	0.867634i	$-0.334361\pi$
$600$	−33.3447	−	32.5264i	−1.36129	−	1.32788i
$601$	−1.30290	+	4.86250i	−0.0531466	+	0.198346i	−0.987395	−	0.158278i	$-0.949406\pi$
$601$	−1.30290	+	4.86250i	−0.0531466	+	0.198346i	0.934248	+	0.356624i	$0.116072\pi$
$602$	12.4625	+	12.1393i	0.507932	+	0.494761i
$603$	4.49573	−	9.38680i	0.183080	−	0.382260i
$604$	31.1408	−	0.818209i	1.26710	−	0.0332925i
$605$	70.5172	+	54.1098i	2.86693	+	2.19987i
$606$	3.35158	+	2.64628i	0.136149	+	0.107498i
$607$	27.8510	+	16.0798i	1.13044	+	0.652659i	0.944045	−	0.329816i	$-0.106987\pi$
$607$	27.8510	+	16.0798i	1.13044	+	0.652659i	0.186393	+	0.982475i	$0.440320\pi$
$608$	−34.3894	+	11.6821i	−1.39467	+	0.473772i
$609$	23.2204	−	12.5836i	0.940937	−	0.509912i
$610$	−20.3508	+	27.2555i	−0.823979	+	1.10354i
$611$	1.83637	+	4.43338i	0.0742914	+	0.179355i
$612$	0.391829	−	14.1458i	0.0158387	−	0.571810i
$613$	43.9688	+	18.2125i	1.77588	+	0.735595i	0.993638	+	0.112623i	$0.0359254\pi$
$613$	43.9688	+	18.2125i	1.77588	+	0.735595i	0.782245	+	0.622971i	$0.214075\pi$
$614$	4.67409	+	1.18685i	0.188631	+	0.0478973i
$615$	25.7090	−	24.3579i	1.03669	−	0.982205i
$616$	39.7580	+	20.9109i	1.60189	+	0.842526i
$617$	−3.09645	+	0.829692i	−0.124659	+	0.0334021i	−0.320609	−	0.947212i	$-0.603888\pi$
$617$	−3.09645	+	0.829692i	−0.124659	+	0.0334021i	0.195950	+	0.980614i	$0.437221\pi$
$618$	−21.4024	+	35.9124i	−0.860932	+	1.44461i
$619$	−2.54048	−	19.2968i	−0.102110	−	0.775605i	−0.963509	−	0.267676i	$-0.913744\pi$
$619$	−2.54048	−	19.2968i	−0.102110	−	0.775605i	0.861399	−	0.507930i	$-0.169589\pi$
$620$	−22.9355	+	10.2140i	−0.921113	+	0.410203i
$621$	−4.75024	−	1.02162i	−0.190621	−	0.0409963i
$622$	−25.8961	−	10.3302i	−1.03834	−	0.414202i
$623$	−18.3178	+	10.5758i	−0.733887	+	0.423710i
$624$	3.73514	−	1.10387i	0.149525	−	0.0441900i
$625$	−15.4740	−	8.93392i	−0.618960	−	0.357357i
$626$	−20.2147	−	25.6398i	−0.807940	−	1.02477i
$627$	60.8530	−	23.3034i	2.43023	−	0.930648i
$628$	−2.01161	−	12.6935i	−0.0802720	−	0.506527i
$629$	5.41103	+	2.24132i	0.215752	+	0.0893674i
$630$	37.0074	+	23.4306i	1.47441	+	0.933496i
$631$	−24.6816	−	24.6816i	−0.982558	−	0.982558i	0.0172927	−	0.999850i	$-0.494495\pi$
$631$	−24.6816	−	24.6816i	−0.982558	−	0.982558i	−0.999850	+	0.0172927i	$0.994495\pi$
$632$	−2.99955	−	17.4425i	−0.119316	−	0.693824i
$633$	−6.46130	+	21.7491i	−0.256814	+	0.864447i
$634$	−28.4871	+	8.03556i	−1.13137	+	0.319133i
$635$	−32.2769	+	24.7669i	−1.28087	+	0.982846i
$636$	24.3052	+	6.53112i	0.963766	+	0.258976i
$637$	−0.118574	+	0.154529i	−0.00469809	+	0.00612267i
$638$	42.8329	−	18.4047i	1.69577	−	0.728650i
$639$	−9.81420	−	19.3379i	−0.388244	−	0.764996i
$640$	−33.1409	−	27.5456i	−1.31001	−	1.08884i
$641$	8.73151	−	5.04114i	0.344874	−	0.199113i	−0.317551	−	0.948241i	$-0.602861\pi$
$641$	8.73151	−	5.04114i	0.344874	−	0.199113i	0.662425	+	0.749128i	$0.269527\pi$
$642$	0.149168	−	0.0593813i	0.00588719	−	0.00234359i
$643$	4.59235	−	34.8824i	0.181105	−	1.37563i	−0.623503	−	0.781821i	$-0.714291\pi$
$643$	4.59235	−	34.8824i	0.181105	−	1.37563i	0.804608	−	0.593807i	$-0.202376\pi$
$644$	−4.86013	+	1.44010i	−0.191516	+	0.0567480i
$645$	17.5810	+	24.2390i	0.692253	+	0.954409i
$646$	−20.7565	−	5.27050i	−0.816653	−	0.207365i
$647$	−7.77600	−	7.77600i	−0.305706	−	0.305706i	0.537535	−	0.843241i	$-0.319355\pi$
$647$	−7.77600	−	7.77600i	−0.305706	−	0.305706i	−0.843241	+	0.537535i	$0.819355\pi$
$648$	14.0775	+	21.2091i	0.553016	+	0.833171i
$649$	−18.8290	+	18.8290i	−0.739103	+	0.739103i
$650$	6.49649	−	3.86540i	0.254813	−	0.151613i
$651$	12.5247	−	9.08439i	0.490880	−	0.356045i
$652$	−11.2596	−	13.9020i	−0.440961	−	0.544443i
$653$	−29.3824	−	3.86827i	−1.14982	−	0.151377i	−0.468570	−	0.883426i	$-0.655231\pi$
$653$	−29.3824	−	3.86827i	−1.14982	−	0.151377i	−0.681252	+	0.732049i	$0.738564\pi$
$654$	−3.07768	−	1.32503i	−0.120347	−	0.0518129i
$655$	−36.6098	−	63.4101i	−1.43046	−	2.47764i
$656$	14.3651	−	15.9597i	0.560863	−	0.623123i
$657$	0.333136	−	0.169070i	0.0129969	−	0.00659604i
$658$	−12.1231	+	30.3906i	−0.472606	+	1.18475i
$659$	−7.63349	−	5.85738i	−0.297359	−	0.228171i	0.449296	−	0.893383i	$-0.351675\pi$
$659$	−7.63349	−	5.85738i	−0.297359	−	0.228171i	−0.746655	+	0.665212i	$0.768341\pi$
$660$	61.3059	+	47.1110i	2.38633	+	1.83379i
$661$	9.11929	+	11.8845i	0.354699	+	0.462253i	0.936290	−	0.351229i	$-0.114236\pi$
$661$	9.11929	+	11.8845i	0.354699	+	0.462253i	−0.581590	+	0.813482i	$0.697569\pi$
$662$	21.9526	+	12.2927i	0.853211	+	0.477771i
$663$	2.20144	+	0.654012i	0.0854967	+	0.0253997i
$664$	8.79325	+	13.9324i	0.341244	+	0.540681i
$665$	46.8704	−	46.8704i	1.81756	−	1.81756i
$666$	−10.2794	+	2.30918i	−0.398319	+	0.0894789i
$667$	−2.01314	+	4.86015i	−0.0779491	+	0.188186i
$668$	8.59537	+	14.0236i	0.332565	+	0.542589i
$669$	−1.28673	−	3.36009i	−0.0497480	−	0.129909i
$670$	2.19573	−	18.5587i	0.0848284	−	0.716984i
$671$	18.5007	−	32.0441i	0.714210	−	1.23705i
$672$	23.4952	+	12.3788i	0.906349	+	0.477524i
$673$	−20.2361	−	35.0500i	−0.780046	−	1.35108i	−0.931914	−	0.362678i	$-0.881862\pi$
$673$	−20.2361	−	35.0500i	−0.780046	−	1.35108i	0.151869	−	0.988401i	$-0.451471\pi$
$674$	35.5177	−	15.2615i	1.36809	−	0.587850i
$675$	36.6372	+	33.1479i	1.41017	+	1.27586i
$676$	−0.666299	−	25.3592i	−0.0256269	−	0.975353i
$677$	37.3299	−	4.91458i	1.43471	−	0.188883i	0.627253	−	0.778816i	$-0.284179\pi$
$677$	37.3299	−	4.91458i	1.43471	−	0.188883i	0.807452	+	0.589933i	$0.200846\pi$
$678$	44.1581	−	11.1792i	1.69588	−	0.429334i
$679$	−7.17129	−	26.7636i	−0.275209	−	1.02709i
$680$	−7.53822	−	24.2657i	−0.289077	−	0.930546i
$681$	−6.03074	−	6.36526i	−0.231098	−	0.243917i
$682$	23.4709	−	13.9651i	0.898748	−	0.534752i
$683$	−8.80356	+	21.2537i	−0.336859	+	0.813249i	0.661155	+	0.750250i	$0.270067\pi$
$683$	−8.80356	+	21.2537i	−0.336859	+	0.813249i	−0.998014	+	0.0629997i	$0.979933\pi$
$684$	35.9847	−	13.7508i	1.37591	−	0.525777i
$685$	−63.9001	+	26.4683i	−2.44150	+	1.01130i
$686$	25.2398	−	3.66073i	0.963659	−	0.139768i
$687$	1.93384	+	3.56850i	0.0737805	+	0.136147i
$688$	11.7931	+	13.8030i	0.449608	+	0.526235i
$689$	−2.04215	+	3.53711i	−0.0777997	+	0.134753i
$690$	−8.66475	+	1.01890i	−0.329861	+	0.0387888i
$691$	15.6124	−	20.3464i	0.593923	−	0.774015i	−0.395595	−	0.918425i	$-0.629462\pi$
$691$	15.6124	−	20.3464i	0.593923	−	0.774015i	0.989518	+	0.144410i	$0.0461283\pi$
$692$	−46.7231	−	17.9306i	−1.77615	−	0.681618i
$693$	−42.9723	−	20.5813i	−1.63238	−	0.781817i
$694$	0.561316	+	42.7344i	0.0213072	+	1.62218i
$695$	−25.9245	−	6.94644i	−0.983371	−	0.263493i
$696$	25.3296	−	10.8624i	0.960117	−	0.411740i
$697$	12.2295	−	3.27689i	0.463226	−	0.124121i
$698$	−4.37207	−	15.4996i	−0.165485	−	0.586667i
$699$	−21.4665	+	15.5701i	−0.811939	+	0.588916i
$700$	50.1208	+	12.0283i	1.89439	+	0.454625i
$701$	−3.56175	+	1.47533i	−0.134526	+	0.0557223i	−0.448931	−	0.893567i	$-0.648195\pi$
$701$	−3.56175	+	1.47533i	−0.134526	+	0.0557223i	0.314405	+	0.949289i	$0.398195\pi$
$702$	−3.91498	+	1.31868i	−0.147762	+	0.0497702i
$703$			15.9436i			0.601324i
$704$	39.3214	+	25.5207i	1.48198	+	0.961849i
$705$	−29.4627	+	47.9925i	−1.10963	+	1.80750i
$706$	2.60063	−	21.9810i	0.0978761	−	0.827265i
$707$	−4.68485	−	0.616773i	−0.176192	−	0.0231961i
$708$	−11.1392	+	11.1234i	−0.418637	+	0.418042i
$709$	4.10862	+	31.2081i	0.154302	+	1.17204i	0.876865	+	0.480737i	$0.159631\pi$
$709$	4.10862	+	31.2081i	0.154302	+	1.17204i	−0.722562	+	0.691306i	$0.757036\pi$
$710$	−27.8929	−	27.1697i	−1.04680	−	1.01966i
$711$	3.87354	+	18.3681i	0.145269	+	0.688857i
$712$	−20.0436	+	9.24345i	−0.751166	+	0.346413i
$713$	−0.797635	+	2.97682i	−0.0298717	+	0.111483i
$714$	7.64088	+	13.6680i	0.285953	+	0.511512i
$715$	−9.95446	+	7.63833i	−0.372276	+	0.285657i
$716$	−17.5129	−	21.6228i	−0.654489	−	0.808080i
$717$	−2.47373	+	3.04980i	−0.0923830	+	0.113897i
$718$	40.7559	−	5.91116i	1.52100	−	0.220603i
$719$			32.0174i			1.19405i	0.802224	+	0.597023i	$0.203650\pi$
$719$			32.0174i			1.19405i	−0.802224	+	0.597023i	$0.796350\pi$
$720$	36.2229	+	27.8768i	1.34995	+	1.03891i
$721$		−	46.2600i		−	1.72281i
$722$	−4.51085	−	31.1011i	−0.167876	−	1.15746i
$723$	2.94893	+	7.70063i	0.109672	+	0.286390i
$724$	−14.4895	−	1.52161i	−0.538497	−	0.0565501i
$725$	42.4382	−	32.5639i	1.57611	−	1.20939i
$726$	−49.1018	−	29.2628i	−1.82234	−	1.08604i
$727$	2.91435	−	10.8765i	0.108087	−	0.403387i	−0.890590	−	0.454807i	$-0.849708\pi$
$727$	2.91435	−	10.8765i	0.108087	−	0.403387i	0.998677	+	0.0514203i	$0.0163748\pi$
$728$	−2.92505	+	3.16515i	−0.108410	+	0.117308i
$729$	−15.7651	−	21.9194i	−0.583893	−	0.811830i
$730$	0.468053	−	0.480513i	0.0173234	−	0.0177846i
$731$	1.39725	+	10.6132i	0.0516792	+	0.392542i
$732$	10.9507	−	18.9360i	0.404749	−	0.699894i
$733$	26.7412	+	3.52054i	0.987708	+	0.130034i	0.607035	−	0.794675i	$-0.292359\pi$
$733$	26.7412	+	3.52054i	0.987708	+	0.130034i	0.380674	+	0.924709i	$0.375692\pi$
$734$	−19.8192	−	2.34486i	−0.731538	−	0.0865505i
$735$	−2.28501	−	0.0616652i	−0.0842837	−	0.00227455i
$736$	−5.18779	+	1.03311i	−0.191224	+	0.0380809i
$737$			20.3288i			0.748822i
$738$	−14.5905	+	17.4877i	−0.537084	+	0.643732i
$739$	14.9589	−	6.19617i	0.550271	−	0.227930i	−0.0901844	−	0.995925i	$-0.528746\pi$
$739$	14.9589	−	6.19617i	0.550271	−	0.227930i	0.640455	+	0.767995i	$0.278746\pi$
$740$	−16.1289	+	9.88576i	−0.592910	+	0.363408i
$741$	0.648497	+	6.21791i	0.0238231	+	0.228421i
$742$	−26.8027	+	7.56042i	−0.983958	+	0.277552i
$743$	4.20718	−	1.12731i	0.154346	−	0.0413570i	−0.180818	−	0.983516i	$-0.557875\pi$
$743$	4.20718	−	1.12731i	0.154346	−	0.0413570i	0.335165	+	0.942159i	$0.391208\pi$
$744$	13.8814	−	8.24600i	0.508916	−	0.302313i
$745$	−9.07581	−	2.43185i	−0.332512	−	0.0890963i
$746$	−26.0270	+	0.341864i	−0.952916	+	0.0125165i
$747$	−9.87465	−	14.4171i	−0.361294	−	0.527494i
$748$	11.2446	+	25.2498i	0.411144	+	0.923224i
$749$	−0.108151	+	0.140945i	−0.00395174	+	0.00515001i
$750$	38.6353	+	16.6337i	1.41076	+	0.607376i
$751$	−12.9184	+	22.3753i	−0.471398	+	0.816486i	−0.999465	−	0.0327171i	$-0.989584\pi$
$751$	−12.9184	+	22.3753i	−0.471398	+	0.816486i	0.528066	+	0.849203i	$0.322917\pi$
$752$	−15.4955	+	30.4250i	−0.565064	+	1.10949i
$753$	−2.16930	+	3.53363i	−0.0790538	+	0.128773i
$754$	0.641990	+	4.42635i	0.0233799	+	0.161198i
$755$	−54.8120	+	22.7039i	−1.99481	+	0.826278i
$756$	−25.3956	−	12.1853i	−0.923631	−	0.443174i
$757$	−10.3858	+	25.0735i	−0.377478	+	0.911311i	0.614960	+	0.788559i	$0.289172\pi$
$757$	−10.3858	+	25.0735i	−0.377478	+	0.911311i	−0.992437	+	0.122753i	$0.960828\pi$
$758$	2.81963	+	4.73890i	0.102414	+	0.172124i
$759$	9.22997	−	2.20811i	0.335027	−	0.0801492i
$760$	53.1751	−	44.2372i	1.92886	−	1.60465i
$761$	6.97090	+	26.0157i	0.252695	+	0.943070i	0.969358	+	0.245651i	$0.0790017\pi$
$761$	6.97090	+	26.0157i	0.252695	+	0.943070i	−0.716663	+	0.697419i	$0.754332\pi$
$762$	18.7545	−	18.2423i	0.679406	−	0.660847i
$763$	3.67604	−	0.483960i	0.133082	−	0.0175205i
$764$	23.7274	−	25.0079i	0.858426	−	0.904752i
$765$	8.95573	+	25.4194i	0.323795	+	0.919042i
$766$	6.87742	+	16.0057i	0.248491	+	0.578308i
$767$	−1.27735	−	2.21243i	−0.0461223	−	0.0798862i
$768$	23.2352	+	15.1039i	0.838427	+	0.545013i
$769$	14.3435	−	24.8437i	0.517241	−	0.895888i	−0.482558	−	0.875864i	$-0.660292\pi$
$769$	14.3435	−	24.8437i	0.517241	−	0.895888i	0.999799	−	0.0200243i	$-0.00637437\pi$
$770$	−84.9607	−	10.0520i	−3.06177	−	0.362247i
$771$	23.9525	−	29.5306i	0.862629	−	1.06352i
$772$	19.4862	+	4.67640i	0.701323	+	0.168307i
$773$	−20.6244	+	49.7916i	−0.741806	+	1.79088i	−0.143436	+	0.989660i	$0.545815\pi$
$773$	−20.6244	+	49.7916i	−0.741806	+	1.79088i	−0.598371	+	0.801219i	$0.704185\pi$
$774$	−13.0491	−	14.1606i	−0.469040	−	0.508992i
$775$	22.1589	−	22.1589i	0.795972	−	0.795972i
$776$	−4.90034	−	28.4956i	−0.175912	−	1.02293i
$777$	8.46281	−	8.01804i	0.303601	−	0.287646i
$778$	10.9682	−	19.5871i	0.393227	−	0.702231i
$779$	20.9814	+	27.3435i	0.751737	+	0.979682i
$780$	−5.88807	+	4.51142i	−0.210827	+	0.161535i
$781$	33.6041	+	25.7854i	1.20245	+	0.922673i
$782$	−2.89697	−	1.15563i	−0.103596	−	0.0413251i
$783$	−26.4148	+	12.5215i	−0.943989	+	0.447481i
$784$	−1.38400	+	0.0727779i	−0.0494285	+	0.00259921i
$785$	12.2382	+	21.1973i	0.436801	+	0.756562i
$786$	28.1443	+	37.7493i	1.00387	+	1.34647i
$787$	8.10220	+	1.06667i	0.288812	+	0.0380228i	0.273540	−	0.961861i	$-0.411805\pi$
$787$	8.10220	+	1.06667i	0.288812	+	0.0380228i	0.0152718	+	0.999883i	$0.495139\pi$
$788$	5.68557	+	0.597069i	0.202540	+	0.0212697i
$789$	23.2714	+	10.3834i	0.828482	+	0.369659i
$790$	17.2353	+	28.9670i	0.613204	+	1.03060i
$791$	−35.6409	+	35.6409i	−1.26725	+	1.26725i
$792$	−42.6930	−	25.4846i	−1.51703	−	0.905557i
$793$	2.51015	+	2.51015i	0.0891379	+	0.0891379i
$794$	5.49328	−	21.6338i	0.194949	−	0.767756i
$795$	−47.6727	+	4.97203i	−1.69078	+	0.176340i
$796$	−15.5740	−	8.45421i	−0.552006	−	0.299651i
$797$	2.47680	−	18.8132i	0.0877328	−	0.666397i	−0.889912	−	0.456133i	$-0.849234\pi$
$797$	2.47680	−	18.8132i	0.0877328	−	0.666397i	0.977645	−	0.210264i	$-0.0674324\pi$
$798$	−26.4151	+	33.4553i	−0.935084	+	1.18431i
$799$	−17.4351	+	10.0661i	−0.616809	+	0.356115i
$800$	50.9370	+	17.2782i	1.80090	+	0.610877i
$801$	20.8766	−	10.5951i	0.737637	−	0.374359i
$802$	−20.4821	−	47.6676i	−0.723249	−	1.68320i
$803$	−0.444206	+	0.578901i	−0.0156757	+	0.0204290i
$804$	−0.00855553	+	12.0180i	−0.000301730	+	0.423841i
$805$	7.65894	−	5.87691i	0.269942	−	0.207134i
$806$	0.711348	+	2.52182i	0.0250562	+	0.0888274i
$807$	−17.6980	+	4.23394i	−0.622999	+	0.149042i
$808$	−4.80953	−	1.08762i	−0.169199	−	0.0382622i
$809$	24.5646	+	24.5646i	0.863646	+	0.863646i	0.991760	−	0.128114i	$-0.0408922\pi$
$809$	24.5646	+	24.5646i	0.863646	+	0.863646i	−0.128114	+	0.991760i	$0.540892\pi$
$810$	−39.5027	−	28.1052i	−1.38798	−	0.987515i
$811$	−12.9827	−	5.37761i	−0.455884	−	0.188834i	0.142911	−	0.989736i	$-0.454354\pi$
$811$	−12.9827	−	5.37761i	−0.455884	−	0.188834i	−0.598795	+	0.800902i	$0.704354\pi$
$812$	−17.9233	+	24.6739i	−0.628984	+	0.865883i
$813$	3.75922	−	23.6124i	0.131842	−	0.828125i
$814$	16.1599	−	12.7406i	0.566405	−	0.446558i
$815$	29.5064	+	17.0355i	1.03356	+	0.596728i
$816$	6.63694	+	14.9319i	0.232339	+	0.522720i
$817$	−25.2365	+	14.5703i	−0.882912	+	0.509750i
$818$	−5.41555	+	13.5759i	−0.189350	+	0.474671i
$819$	2.97431	−	3.47121i	0.103931	−	0.121294i
$820$	−14.6518	+	38.1795i	−0.511665	+	1.33328i
$821$	−0.0521190	−	0.395883i	−0.00181896	−	0.0138164i	0.990511	−	0.137431i	$-0.0438846\pi$
$821$	−0.0521190	−	0.395883i	−0.00181896	−	0.0138164i	−0.992330	+	0.123615i	$0.960551\pi$
$822$	38.8239	−	21.7039i	1.35414	−	0.757010i
$823$	−7.73521	+	2.07264i	−0.269632	+	0.0722478i	−0.391102	−	0.920347i	$-0.627906\pi$
$823$	−7.73521	+	2.07264i	−0.269632	+	0.0722478i	0.121470	+	0.992595i	$0.461239\pi$
$824$	4.41075	−	48.0718i	0.153656	−	1.67466i
$825$	−92.5070	−	27.4824i	−3.22068	−	0.956814i
$826$	4.28701	−	16.8833i	0.149164	−	0.587444i
$827$	29.3625	+	12.1624i	1.02104	+	0.422927i	0.829469	−	0.558553i	$-0.188643\pi$
$827$	29.3625	+	12.1624i	1.02104	+	0.422927i	0.191566	+	0.981480i	$0.438643\pi$
$828$	5.45748	−	1.30150i	0.189661	−	0.0452303i
$829$	1.88414	+	4.54871i	0.0654387	+	0.157983i	0.953216	−	0.302291i	$-0.0977513\pi$
$829$	1.88414	+	4.54871i	0.0654387	+	0.157983i	−0.887777	+	0.460274i	$0.847751\pi$
$830$	−25.1417	−	18.7725i	−0.872682	−	0.651602i
$831$	−0.712131	+	26.3881i	−0.0247036	+	0.915391i
$832$	−3.34140	+	3.01022i	−0.115842	+	0.104361i
$833$	−0.707698	−	0.408590i	−0.0245203	−	0.0141568i
$834$	17.0791	+	2.48954i	0.591402	+	0.0862059i
$835$	−24.8521	−	19.0697i	−0.860043	−	0.659934i
$836$	−51.7890	+	54.5839i	−1.79116	+	1.88782i
$837$	−14.3848	+	9.29258i	−0.497212	+	0.321198i
$838$	10.2310	−	10.5033i	0.353423	−	0.362831i
$839$	−6.64892	+	24.8141i	−0.229546	+	0.856678i	0.750986	+	0.660318i	$0.229579\pi$
$839$	−6.64892	+	24.8141i	−0.229546	+	0.856678i	−0.980532	+	0.196360i	$0.937088\pi$
$840$	−50.2227	−	5.97825i	−1.73285	−	0.206269i
$841$	0.685685	+	2.55901i	0.0236443	+	0.0882418i
$842$	−15.5518	−	8.70852i	−0.535950	−	0.300115i
$843$	−5.62663	+	12.6105i	−0.193792	+	0.434327i
$844$	−4.10063	−	25.8756i	−0.141150	−	0.890674i
$845$	18.4886	+	44.6355i	0.636028	+	1.53551i
$846$	15.2129	−	32.8646i	0.523030	−	1.12991i
$847$	63.2497			2.17328
$848$	−28.5733	+	5.30098i	−0.981211	+	0.182036i
$849$	−30.5120	+	16.5351i	−1.04717	+	0.567482i
$850$	19.6357	+	24.9055i	0.673499	+	0.854252i
$851$	−0.303091	+	2.30220i	−0.0103898	+	0.0789185i
$852$	19.8552	+	15.2579i	0.680227	+	0.522727i
$853$	−15.5783	+	2.05093i	−0.533392	+	0.0702224i	−0.392411	−	0.919790i	$-0.628359\pi$
$853$	−15.5783	+	2.05093i	−0.533392	+	0.0702224i	−0.140981	+	0.990012i	$0.545026\pi$
$854$	0.317901	+	24.2026i	0.0108783	+	0.828196i
$855$	−54.6001	+	49.0041i	−1.86728	+	1.67591i
$856$	−0.125825	+	0.136153i	−0.00430061	+	0.00465362i
$857$	−36.5591	−	9.79597i	−1.24883	−	0.334624i	−0.426948	−	0.904276i	$-0.640411\pi$
$857$	−36.5591	−	9.79597i	−1.24883	−	0.334624i	−0.821886	+	0.569652i	$0.807078\pi$
$858$	5.78406	−	5.62606i	0.197464	−	0.192071i
$859$	−19.5549	−	25.4844i	−0.667203	−	0.869516i	0.330021	−	0.943974i	$-0.392944\pi$
$859$	−19.5549	−	25.4844i	−0.667203	−	0.869516i	−0.997224	+	0.0744572i	$0.976278\pi$
$860$	−30.3874	−	16.4955i	−1.03620	−	0.562493i
$861$	3.96228	−	24.8879i	0.135034	−	0.848177i
$862$	−10.1480	−	7.57721i	−0.345644	−	0.258081i
$863$	6.42779			0.218804			0.109402	−	0.993998i	$-0.465106\pi$
$863$	6.42779			0.218804			0.109402	+	0.993998i	$0.465106\pi$
$864$	−25.2285	−	15.0839i	−0.858290	−	0.513165i
$865$	95.3115			3.24069
$866$	−9.97443	−	7.44758i	−0.338945	−	0.253079i
$867$	3.11463	−	19.5636i	0.105778	−	0.664415i
$868$	−8.52349	+	15.7016i	−0.289306	+	0.532948i
$869$	−22.3208	−	29.0891i	−0.757183	−	0.986780i
$870$	−37.6256	+	36.5978i	−1.27563	+	1.24078i
$871$	−1.88388	−	0.504784i	−0.0638328	−	0.0171039i
$872$	3.86616	−	0.152416i	0.130925	−	0.00516146i
$873$	6.32817	+	30.0078i	0.214176	+	1.01561i
$874$	−0.111512	−	8.48973i	−0.00377196	−	0.287170i
$875$	−46.1468	+	6.07534i	−1.56005	+	0.205384i
$876$	−0.262849	+	0.342046i	−0.00888083	+	0.0115567i
$877$	6.77088	−	51.4300i	0.228637	−	1.73667i	−0.364179	−	0.931329i	$-0.618650\pi$
$877$	6.77088	−	51.4300i	0.228637	−	1.73667i	0.592816	−	0.805338i	$-0.298016\pi$
$878$	−2.54826	−	3.23215i	−0.0859994	−	0.109080i
$879$	39.2603	−	21.2759i	1.32422	−	0.717619i
$880$	−87.3299	−	18.5464i	−2.94389	−	0.625198i
$881$	47.7147			1.60755			0.803775	−	0.594933i	$-0.202822\pi$
$881$	47.7147			1.60755			0.803775	+	0.594933i	$0.202822\pi$
$882$	1.46402	−	0.132227i	0.0492961	−	0.00445231i
$883$	−12.1855	−	29.4183i	−0.410074	−	0.990005i	−0.985117	−	0.171883i	$-0.945015\pi$
$883$	−12.1855	−	29.4183i	−0.410074	−	0.990005i	0.575044	−	0.818123i	$-0.304985\pi$
$884$	−2.61912	+	0.415065i	−0.0880905	+	0.0139602i
$885$	12.2161	−	27.3789i	0.410641	−	0.920331i
$886$	−22.6134	−	12.6628i	−0.759711	−	0.425414i
$887$	−0.180710	−	0.674420i	−0.00606766	−	0.0226448i	0.962826	−	0.270124i	$-0.0870646\pi$
$887$	−0.180710	−	0.674420i	−0.00606766	−	0.0226448i	−0.968893	+	0.247479i	$0.920398\pi$
$888$	9.55876	−	7.52517i	0.320771	−	0.252528i
$889$	−7.49292	+	27.9639i	−0.251304	+	0.937881i
$890$	29.3314	−	30.1122i	0.983192	−	1.00936i
$891$	46.2653	+	25.3121i	1.54995	+	0.847988i
$892$	3.01393	+	2.85961i	0.100914	+	0.0957468i
$893$	−43.4792	−	33.3627i	−1.45497	−	1.11644i
$894$	5.97918	+	0.871556i	0.199974	+	0.0291492i
$895$	45.8934	+	26.4966i	1.53405	+	0.885682i
$896$	−30.6418	−	1.19442i	−1.02367	−	0.0399026i
$897$	−0.0245627	+	0.910173i	−0.000820126	+	0.0303898i
$898$	6.01224	+	4.48914i	0.200631	+	0.149805i
$899$	7.09541	+	17.1298i	0.236645	+	0.571312i
$900$	−54.6765	−	16.2859i	−1.82255	−	0.542864i
$901$	−15.8309	−	6.55739i	−0.527405	−	0.218458i
$902$	10.9481	−	43.1164i	0.364533	−	1.43562i
$903$	20.4253	+	6.06803i	0.679711	+	0.201931i
$904$	−40.4351	+	33.6386i	−1.34485	+	1.11880i
$905$	26.8014	−	7.18141i	0.890909	−	0.238718i
$906$	33.3022	−	18.6171i	1.10639	−	0.618510i
$907$	1.75865	+	13.3583i	0.0583950	+	0.443554i	0.995519	+	0.0945582i	$0.0301439\pi$
$907$	1.75865	+	13.3583i	0.0583950	+	0.443554i	−0.937124	+	0.348996i	$0.886523\pi$
$908$	9.45280	+	3.62763i	0.313702	+	0.120387i
$909$	5.14098	+	0.961339i	0.170516	+	0.0318856i
$910$	3.04117	−	7.62373i	0.100814	−	0.252724i
$911$	25.4537	−	14.6957i	0.843319	−	0.486890i	−0.0150720	−	0.999886i	$-0.504798\pi$
$911$	25.4537	−	14.6957i	0.843319	−	0.486890i	0.858391	+	0.512996i	$0.171464\pi$
$912$	−30.6395	+	32.2470i	−1.01458	+	1.06781i
$913$	29.5589	+	17.0658i	0.978257	+	0.564797i
$914$	−4.77474	+	3.76444i	−0.157934	+	0.124517i
$915$	−6.54994	+	41.1415i	−0.216534	+	1.36010i
$916$	−3.79187	−	2.75444i	−0.125287	−	0.0910093i
$917$	−48.1363	−	19.9387i	−1.58960	−	0.658434i
$918$	−7.62893	−	15.5623i	−0.251792	−	0.513632i
$919$	27.0012	+	27.0012i	0.890689	+	0.890689i	0.994588	−	0.103899i	$-0.0331318\pi$
$919$	27.0012	+	27.0012i	0.890689	+	0.890689i	−0.103899	+	0.994588i	$0.533132\pi$
$920$	8.51926	−	5.37683i	0.280872	−	0.177269i
$921$	5.74415	−	1.37419i	0.189276	−	0.0452810i
$922$	8.70119	+	30.8469i	0.286559	+	1.01589i
$923$	−3.22396	+	2.47383i	−0.106118	+	0.0814271i
$924$	55.0177	+	0.0391668i	1.80995	+	0.00128849i
$925$	14.3740	−	18.7326i	0.472614	−	0.615923i
$926$	−3.56936	−	8.30689i	−0.117296	−	0.272981i
$927$	−2.76156	+	51.1275i	−0.0907014	+	1.67925i
$928$	−20.9778	+	23.9313i	−0.688631	+	0.785584i
$929$	−25.9185	+	14.9640i	−0.850358	+	0.490954i	−0.860772	−	0.508991i	$-0.830019\pi$
$929$	−25.9185	+	14.9640i	−0.850358	+	0.490954i	0.0104136	+	0.999946i	$0.496685\pi$
$930$	−19.0552	+	24.1339i	−0.624845	+	0.791381i
$931$	0.290360	−	2.20550i	0.00951616	−	0.0722824i
$932$	14.6088	−	26.9117i	0.478526	−	0.881521i
$933$	−33.9623	+	3.54210i	−1.11188	+	0.115963i
$934$	7.34412	−	28.9229i	0.240307	−	0.946387i
$935$	−37.2229	−	37.2229i	−1.21732	−	1.21732i
$936$	3.42178	−	3.32357i	0.111844	−	0.108634i
$937$	9.42308	−	9.42308i	0.307839	−	0.307839i	−0.536232	−	0.844071i	$-0.680153\pi$
$937$	9.42308	−	9.42308i	0.307839	−	0.307839i	0.844071	+	0.536232i	$0.180153\pi$
$938$	−6.79981	−	11.4283i	−0.222022	−	0.373148i
$939$	−36.5180	−	16.2939i	−1.19172	−	0.531731i
$940$	6.79140	−	64.6709i	0.221511	−	2.10933i
$941$	42.5197	+	5.59783i	1.38610	+	0.182484i	0.786389	−	0.617731i	$-0.211948\pi$
$941$	42.5197	+	5.59783i	1.38610	+	0.182484i	0.599713	+	0.800215i	$0.295281\pi$
$942$	−9.40830	−	12.6191i	−0.306539	−	0.411154i
$943$	2.50984	+	4.34717i	0.0817316	+	0.141563i
$944$	6.06468	−	17.1358i	0.197389	−	0.557722i
$945$	53.4696	+	4.33736i	1.73937	+	0.141094i
$946$	34.9346	+	13.9357i	1.13582	+	0.453088i
$947$	−22.5594	−	17.3104i	−0.733082	−	0.562513i	0.173353	−	0.984860i	$-0.444540\pi$
$947$	−22.5594	−	17.3104i	−0.733082	−	0.562513i	−0.906434	+	0.422346i	$0.861207\pi$
$948$	−13.1834	−	17.2062i	−0.428175	−	0.558832i
$949$	−0.0426168	−	0.0555394i	−0.00138340	−	0.00180288i
$950$	−42.1818	+	75.3288i	−1.36856	+	2.44399i
$951$	−26.3154	+	24.9324i	−0.853337	+	0.808489i
$952$	−14.7672	−	10.4335i	−0.478609	−	0.338152i
$953$	8.16685	−	8.16685i	0.264550	−	0.264550i	−0.562349	−	0.826900i	$-0.690102\pi$
$953$	8.16685	−	8.16685i	0.264550	−	0.264550i	0.826900	+	0.562349i	$0.190102\pi$
$954$	30.0742	−	6.75591i	0.973689	−	0.218731i
$955$	−25.1245	+	60.6559i	−0.813010	+	1.96278i
$956$	1.05815	−	4.40921i	0.0342229	−	0.142604i
$957$	35.9679	−	44.3441i	1.16268	−	1.43344i
$958$	56.5412	+	6.68956i	1.82676	+	0.216130i
$959$	−24.6085	+	42.6233i	−0.794652	+	1.37638i
$960$	−51.6197	−	11.0010i	−1.66602	−	0.355055i
$961$	−10.0690	−	17.4400i	−0.324806	−	0.562580i
$962$	0.779411	+	1.81391i	0.0251292	+	0.0584827i
$963$	0.127944	−	0.149319i	0.00412295	−	0.00481173i
$964$	−6.90732	−	6.55364i	−0.222470	−	0.211079i
$965$	−37.8386	+	4.98154i	−1.21807	+	0.160361i
$966$	−4.45024	+	4.32868i	−0.143184	+	0.139273i
$967$	−8.81018	−	32.8801i	−0.283316	−	1.05735i	−0.950061	−	0.312065i	$-0.898979\pi$
$967$	−8.81018	−	32.8801i	−0.283316	−	1.05735i	0.666744	−	0.745287i	$-0.267687\pi$
$968$	65.7269	+	6.03066i	2.11254	+	0.193833i
$969$	−25.5083	+	6.10242i	−0.819446	+	0.196038i
$970$	28.1572	+	47.3232i	0.904072	+	1.51946i
$971$	−4.15011	+	10.0193i	−0.133183	+	0.321533i	−0.976376	−	0.216078i	$-0.930673\pi$
$971$	−4.15011	+	10.0193i	−0.133183	+	0.321533i	0.843193	+	0.537612i	$0.180673\pi$
$972$	27.3404	+	14.9834i	0.876943	+	0.480594i
$973$	−17.6446	+	7.30862i	−0.565659	+	0.234303i
$974$	−2.08801	−	14.3962i	−0.0669041	−	0.461286i
$975$	4.84384	−	7.89024i	0.155127	−	0.252690i
$976$	−1.97729	+	25.1808i	−0.0632916	+	0.806019i
$977$	−14.8876	+	25.7861i	−0.476296	+	0.824970i	−0.999631	−	0.0271575i	$-0.991354\pi$
$977$	−14.8876	+	25.7861i	−0.476296	+	0.824970i	0.523335	+	0.852127i	$0.324688\pi$
$978$	−20.1246	−	8.66422i	−0.643512	−	0.277051i
$979$	−27.8370	+	36.2779i	−0.889674	+	1.15945i
$980$	2.41117	−	1.07378i	0.0770220	−	0.0343006i
$981$	−4.09173	+	0.315436i	−0.130639	+	0.0100711i
$982$	5.19975	−	0.0682986i	0.165931	−	0.00217949i
$983$	25.2740	+	6.77215i	0.806116	+	0.215998i	0.638267	−	0.769815i	$-0.279651\pi$
$983$	25.2740	+	6.77215i	0.806116	+	0.215998i	0.167848	+	0.985813i	$0.446318\pi$
$984$	6.49045	−	25.4849i	0.206908	−	0.812428i
$985$	−10.5167	+	2.81794i	−0.335090	+	0.0897870i
$986$	−18.0599	+	5.09427i	−0.575144	+	0.162235i
$987$	4.15686	+	39.8567i	0.132314	+	1.26865i
$988$	−3.77234	−	6.15467i	−0.120014	−	0.195806i
$989$	−3.92105	+	1.62415i	−0.124682	+	0.0516450i
$990$	93.3003	+	16.1815i	2.96528	+	0.514281i
$991$		−	39.6985i		−	1.26107i	−0.776163	−	0.630533i	$-0.782837\pi$
$991$		−	39.6985i		−	1.26107i	0.776163	−	0.630533i	$-0.217163\pi$
$992$	−10.3544	+	15.5039i	−0.328753	+	0.492250i
$993$	30.8034	+	0.831287i	0.977516	+	0.0263801i
$994$	−27.5163	−	3.25553i	−0.872764	−	0.103259i
$995$	33.4603	+	4.40513i	1.06076	+	0.139652i
$996$	17.4674	+	10.1014i	0.553476	+	0.320075i
$997$	7.08645	+	53.8269i	0.224430	+	1.70472i	0.618622	+	0.785688i	$0.287691\pi$
$997$	7.08645	+	53.8269i	0.224430	+	1.70472i	−0.394192	+	0.919028i	$0.628976\pi$
$998$	41.1665	−	42.2623i	1.30310	−	1.33779i
$999$	−9.83192	+	8.35651i	−0.311068	+	0.264388i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	288.2.bf.a.59.16	✓	368
3.2	odd	2		864.2.bn.a.827.31		368
9.2	odd	6	inner	288.2.bf.a.155.2	yes	368
9.7	even	3		864.2.bn.a.251.45		368
32.19	odd	8	inner	288.2.bf.a.275.2	yes	368
96.83	even	8		864.2.bn.a.179.45		368
288.83	even	24	inner	288.2.bf.a.83.16	yes	368
288.115	odd	24		864.2.bn.a.467.31		368

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
288.2.bf.a.59.16	✓	368	1.1	even	1	trivial
288.2.bf.a.83.16	yes	368	288.83	even	24	inner
288.2.bf.a.155.2	yes	368	9.2	odd	6	inner
288.2.bf.a.275.2	yes	368	32.19	odd	8	inner
864.2.bn.a.179.45		368	96.83	even	8
864.2.bn.a.251.45		368	9.7	even	3
864.2.bn.a.467.31		368	288.115	odd	24
864.2.bn.a.827.31		368	3.2	odd	2

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:	\( N \)	\(=\)	\( 288 = 2^{5} \cdot 3^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	288.bf (of order \(24\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.846109 + 1.13318i) q^{2} +(-0.272322 + 1.71051i) q^{3} +(-0.568200 - 1.91759i) q^{4} +(2.31877 + 3.02188i) q^{5} +(-1.70790 - 1.75587i) q^{6} +(2.61808 + 0.701513i) q^{7} +(2.65374 + 0.978615i) q^{8} +(-2.85168 - 0.931617i) q^{9} +O(q^{10})\)	\(q+(-0.846109 + 1.13318i) q^{2} +(-0.272322 + 1.71051i) q^{3} +(-0.568200 - 1.91759i) q^{4} +(2.31877 + 3.02188i) q^{5} +(-1.70790 - 1.75587i) q^{6} +(2.61808 + 0.701513i) q^{7} +(2.65374 + 0.978615i) q^{8} +(-2.85168 - 0.931617i) q^{9} +(-5.38626 + 0.0707484i) q^{10} +(5.80953 - 0.764839i) q^{11} +(3.43479 - 0.449711i) q^{12} +(-0.0733781 + 0.557362i) q^{13} +(-3.01012 + 2.37321i) q^{14} +(-5.80040 + 3.14335i) q^{15} +(-3.35430 + 2.17915i) q^{16} -2.35854 q^{17} +(3.46852 - 2.44322i) q^{18} +(-2.45699 - 5.93170i) q^{19} +(4.47719 - 6.16347i) q^{20} +(-1.91290 + 4.28722i) q^{21} +(-4.04879 + 7.23038i) q^{22} +(-0.242019 - 0.903226i) q^{23} +(-2.39660 + 4.27274i) q^{24} +(-2.46096 + 9.18442i) q^{25} +(-0.569507 - 0.554740i) q^{26} +(2.37011 - 4.62413i) q^{27} +(-0.142382 - 5.41901i) q^{28} +(-4.46322 - 3.42475i) q^{29} +(1.34578 - 9.23252i) q^{30} +(-2.85421 - 1.64788i) q^{31} +(0.368727 - 5.64482i) q^{32} +(-0.273796 + 10.1455i) q^{33} +(1.99558 - 2.67265i) q^{34} +(3.95084 + 9.53817i) q^{35} +(-0.166132 + 5.99770i) q^{36} +(-2.29423 - 0.950303i) q^{37} +(8.80058 + 2.23465i) q^{38} +(-0.933391 - 0.277296i) q^{39} +(3.19614 + 10.2884i) q^{40} +(-5.18522 + 1.38938i) q^{41} +(-3.23967 - 5.79512i) q^{42} +(-0.592423 - 4.49990i) q^{43} +(-4.76762 - 10.7057i) q^{44} +(-3.79715 - 10.7776i) q^{45} +(1.22829 + 0.489976i) q^{46} +(7.39233 - 4.26796i) q^{47} +(-2.81401 - 6.33098i) q^{48} +(0.300058 + 0.173239i) q^{49} +(-8.32538 - 10.5597i) q^{50} +(0.642280 - 4.03430i) q^{51} +(1.11049 - 0.175984i) q^{52} +(6.71219 + 2.78028i) q^{53} +(3.23460 + 6.59828i) q^{54} +(15.7822 + 15.7822i) q^{55} +(6.26119 + 4.42372i) q^{56} +(10.8153 - 2.58738i) q^{57} +(7.65724 - 2.15993i) q^{58} +(-3.60526 + 2.76641i) q^{59} +(9.32344 + 9.33672i) q^{60} +(3.84408 - 5.00970i) q^{61} +(4.28232 - 1.84005i) q^{62} +(-6.81240 - 4.43954i) q^{63} +(6.08463 + 5.19397i) q^{64} +(-1.85443 + 1.07065i) q^{65} +(-11.2651 - 8.89448i) q^{66} +(-0.452833 + 3.43961i) q^{67} +(1.34012 + 4.52270i) q^{68} +(1.61088 - 0.168007i) q^{69} +(-14.1513 - 3.59331i) q^{70} +(5.11139 + 5.11139i) q^{71} +(-6.65592 - 5.26296i) q^{72} +(-0.0880542 + 0.0880542i) q^{73} +(3.01804 - 1.79572i) q^{74} +(-15.0399 - 6.71061i) q^{75} +(-9.97850 + 8.08189i) q^{76} +(15.7464 + 2.07305i) q^{77} +(1.10398 - 0.823079i) q^{78} +(-3.12868 - 5.41904i) q^{79} +(-14.3630 - 5.08333i) q^{80} +(7.26418 + 5.31335i) q^{81} +(2.81284 - 7.05136i) q^{82} +(4.62117 + 3.54595i) q^{83} +(9.30803 + 1.23217i) q^{84} +(-5.46890 - 7.12720i) q^{85} +(5.60045 + 3.13608i) q^{86} +(7.07350 - 6.70175i) q^{87} +(16.1654 + 3.65561i) q^{88} +(-5.51808 + 5.51808i) q^{89} +(15.4258 + 4.81618i) q^{90} +(-0.583107 + 1.40774i) q^{91} +(-1.59450 + 0.977306i) q^{92} +(3.59598 - 4.43340i) q^{93} +(-1.41834 + 11.9880i) q^{94} +(12.2277 - 21.1790i) q^{95} +(9.55511 + 2.16792i) q^{96} +(-5.11130 - 8.85304i) q^{97} +(-0.450193 + 0.193442i) q^{98} +(-17.2795 - 3.23118i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 368 q - 12 q^{2} - 8 q^{3} - 4 q^{4} - 12 q^{5} - 8 q^{6} - 4 q^{7} - 8 q^{9}+O(q^{10}) \) 368 * q - 12 * q^2 - 8 * q^3 - 4 * q^4 - 12 * q^5 - 8 * q^6 - 4 * q^7 - 8 * q^9	\( 368 q - 12 q^{2} - 8 q^{3} - 4 q^{4} - 12 q^{5} - 8 q^{6} - 4 q^{7} - 8 q^{9} - 16 q^{10} - 12 q^{11} - 8 q^{12} - 4 q^{13} - 12 q^{14} - 16 q^{15} - 4 q^{16} - 8 q^{18} - 16 q^{19} - 12 q^{20} - 8 q^{21} - 4 q^{22} - 12 q^{23} + 32 q^{24} - 4 q^{25} + 16 q^{27} - 16 q^{28} - 12 q^{29} - 56 q^{30} - 12 q^{32} - 16 q^{33} - 12 q^{34} - 60 q^{36} - 16 q^{37} - 12 q^{38} + 16 q^{39} - 4 q^{40} - 12 q^{41} - 8 q^{42} - 4 q^{43} - 8 q^{45} - 16 q^{46} - 24 q^{47} - 60 q^{48} - 168 q^{50} - 32 q^{51} - 4 q^{52} - 52 q^{54} - 16 q^{55} - 12 q^{56} - 8 q^{57} + 32 q^{58} - 12 q^{59} - 20 q^{60} - 4 q^{61} - 16 q^{64} - 24 q^{65} - 80 q^{66} - 4 q^{67} - 60 q^{68} - 8 q^{69} - 4 q^{70} + 52 q^{72} - 16 q^{73} - 12 q^{74} - 28 q^{75} - 28 q^{76} - 12 q^{77} + 80 q^{78} - 8 q^{79} - 16 q^{82} - 132 q^{83} - 104 q^{84} - 24 q^{85} - 12 q^{86} - 64 q^{87} - 4 q^{88} + 124 q^{90} - 16 q^{91} + 216 q^{92} - 20 q^{93} - 20 q^{94} + 92 q^{96} - 8 q^{97} - 72 q^{99}+O(q^{100}) \) 368 * q - 12 * q^2 - 8 * q^3 - 4 * q^4 - 12 * q^5 - 8 * q^6 - 4 * q^7 - 8 * q^9 - 16 * q^10 - 12 * q^11 - 8 * q^12 - 4 * q^13 - 12 * q^14 - 16 * q^15 - 4 * q^16 - 8 * q^18 - 16 * q^19 - 12 * q^20 - 8 * q^21 - 4 * q^22 - 12 * q^23 + 32 * q^24 - 4 * q^25 + 16 * q^27 - 16 * q^28 - 12 * q^29 - 56 * q^30 - 12 * q^32 - 16 * q^33 - 12 * q^34 - 60 * q^36 - 16 * q^37 - 12 * q^38 + 16 * q^39 - 4 * q^40 - 12 * q^41 - 8 * q^42 - 4 * q^43 - 8 * q^45 - 16 * q^46 - 24 * q^47 - 60 * q^48 - 168 * q^50 - 32 * q^51 - 4 * q^52 - 52 * q^54 - 16 * q^55 - 12 * q^56 - 8 * q^57 + 32 * q^58 - 12 * q^59 - 20 * q^60 - 4 * q^61 - 16 * q^64 - 24 * q^65 - 80 * q^66 - 4 * q^67 - 60 * q^68 - 8 * q^69 - 4 * q^70 + 52 * q^72 - 16 * q^73 - 12 * q^74 - 28 * q^75 - 28 * q^76 - 12 * q^77 + 80 * q^78 - 8 * q^79 - 16 * q^82 - 132 * q^83 - 104 * q^84 - 24 * q^85 - 12 * q^86 - 64 * q^87 - 4 * q^88 + 124 * q^90 - 16 * q^91 + 216 * q^92 - 20 * q^93 - 20 * q^94 + 92 * q^96 - 8 * q^97 - 72 * q^99

Introduction

L-functions

Modular forms

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