LMFDB - Embedded newform 280.2.bj.e.131.10

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [280,2,Mod(131,280)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(280, base_ring=CyclotomicField(6))

chi = DirichletCharacter(H, H._module([3, 3, 0, 5]))

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

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

chi := DirichletCharacter("280.131");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 280 = 2^{3} \cdot 5 \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	280.bj (of order $6$, degree $2$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$2.23581125660$
Analytic rank:	$0$
Dimension:	$24$
Relative dimension:	$12$ over $\Q(\zeta_{6})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			131.10
Character	$\chi$	$=$	280.131
Dual form			280.2.bj.e.171.10

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(1.03665 - 0.961958i) q^{2} +(-2.66758 + 1.54013i) q^{3} +(0.149275 - 1.99442i) q^{4} +(0.500000 - 0.866025i) q^{5} +(-1.28380 + 4.16266i) q^{6} +(-2.53597 + 0.754231i) q^{7} +(-1.76380 - 2.21111i) q^{8} +(3.24397 - 5.61873i) q^{9} +O(q^{10})$	\(q+(1.03665 - 0.961958i) q^{2} +(-2.66758 + 1.54013i) q^{3} +(0.149275 - 1.99442i) q^{4} +(0.500000 - 0.866025i) q^{5} +(-1.28380 + 4.16266i) q^{6} +(-2.53597 + 0.754231i) q^{7} +(-1.76380 - 2.21111i) q^{8} +(3.24397 - 5.61873i) q^{9} +(-0.314756 - 1.37874i) q^{10} +(-1.64217 - 2.84433i) q^{11} +(2.67346 + 5.55017i) q^{12} -6.72078 q^{13} +(-1.90337 + 3.22137i) q^{14} +3.08025i q^{15} +(-3.95543 - 0.595434i) q^{16} +(3.32426 - 1.91926i) q^{17} +(-2.04212 - 8.94520i) q^{18} +(-0.618548 - 0.357119i) q^{19} +(-1.65258 - 1.12649i) q^{20} +(5.60328 - 5.91768i) q^{21} +(-4.43848 - 1.36886i) q^{22} +(-1.09312 - 0.631110i) q^{23} +(8.11046 + 3.18182i) q^{24} +(-0.500000 - 0.866025i) q^{25} +(-6.96708 + 6.46511i) q^{26} +10.7438i q^{27} +(1.12570 + 5.17038i) q^{28} +3.04491i q^{29} +(2.96307 + 3.19313i) q^{30} +(-0.0335679 - 0.0581414i) q^{31} +(-4.67317 + 3.18770i) q^{32} +(8.76124 + 5.05831i) q^{33} +(1.59984 - 5.18740i) q^{34} +(-0.614801 + 2.57333i) q^{35} +(-10.7219 - 7.30859i) q^{36} +(0.498735 + 0.287945i) q^{37} +(-0.984749 + 0.224811i) q^{38} +(17.9282 - 10.3508i) q^{39} +(-2.79678 + 0.421945i) q^{40} +0.230821i q^{41} +(0.116067 - 11.5247i) q^{42} +10.0631 q^{43} +(-5.91792 + 2.85060i) q^{44} +(-3.24397 - 5.61873i) q^{45} +(-1.74028 + 0.397292i) q^{46} +(4.23402 - 7.33354i) q^{47} +(11.4685 - 4.50350i) q^{48} +(5.86227 - 3.82541i) q^{49} +(-1.35140 - 0.416784i) q^{50} +(-5.91181 + 10.2396i) q^{51} +(-1.00324 + 13.4041i) q^{52} +(-2.16915 + 1.25236i) q^{53} +(10.3350 + 11.1375i) q^{54} -3.28435 q^{55} +(6.14064 + 4.27698i) q^{56} +2.20003 q^{57} +(2.92908 + 3.15650i) q^{58} +(0.986424 - 0.569512i) q^{59} +(6.14332 + 0.459804i) q^{60} +(0.0888960 - 0.153972i) q^{61} +(-0.0907277 - 0.0279812i) q^{62} +(-3.98880 + 16.6956i) q^{63} +(-1.77799 + 7.79992i) q^{64} +(-3.36039 + 5.82037i) q^{65} +(13.9482 - 3.18427i) q^{66} +(-6.92927 - 12.0019i) q^{67} +(-3.33159 - 6.91647i) q^{68} +3.88796 q^{69} +(1.83810 + 3.25905i) q^{70} +12.0720i q^{71} +(-18.1453 + 2.73756i) q^{72} +(-3.89739 + 2.25016i) q^{73} +(0.794003 - 0.181265i) q^{74} +(2.66758 + 1.54013i) q^{75} +(-0.804579 + 1.18034i) q^{76} +(6.30978 + 5.97455i) q^{77} +(8.62814 - 27.9763i) q^{78} +(-9.66655 - 5.58099i) q^{79} +(-2.49338 + 3.12779i) q^{80} +(-6.81481 - 11.8036i) q^{81} +(0.222040 + 0.239280i) q^{82} +3.24478i q^{83} +(-10.9659 - 12.0587i) q^{84} -3.83853i q^{85} +(10.4319 - 9.68032i) q^{86} +(-4.68955 - 8.12253i) q^{87} +(-3.39264 + 8.64786i) q^{88} +(-13.3148 - 7.68732i) q^{89} +(-8.76784 - 2.70407i) q^{90} +(17.0437 - 5.06902i) q^{91} +(-1.42187 + 2.08592i) q^{92} +(0.179090 + 0.103398i) q^{93} +(-2.66537 - 11.6752i) q^{94} +(-0.618548 + 0.357119i) q^{95} +(7.55658 - 15.7007i) q^{96} +5.76555i q^{97} +(2.39722 - 9.60486i) q^{98} -21.3087 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 24 q - 3 q^{2} + 12 q^{3} + q^{4} + 12 q^{5} + 2 q^{6} - 10 q^{7} - 6 q^{8} + 12 q^{9}+O(q^{10}) $ 24 * q - 3 * q^2 + 12 * q^3 + q^4 + 12 * q^5 + 2 * q^6 - 10 * q^7 - 6 * q^8 + 12 * q^9	\( 24 q - 3 q^{2} + 12 q^{3} + q^{4} + 12 q^{5} + 2 q^{6} - 10 q^{7} - 6 q^{8} + 12 q^{9} - 3 q^{10} + 8 q^{11} + 8 q^{12} - 20 q^{13} - 15 q^{14} - 3 q^{16} + 6 q^{17} - 27 q^{18} + 18 q^{19} + 2 q^{20} + 26 q^{21} - 16 q^{22} - 18 q^{23} + 6 q^{24} - 12 q^{25} - 29 q^{26} + 3 q^{28} + 10 q^{30} + 6 q^{31} - 33 q^{32} + 12 q^{33} + 20 q^{34} - 8 q^{35} - 22 q^{36} + 9 q^{38} + 18 q^{39} - 3 q^{40} - 12 q^{42} + 32 q^{43} - 25 q^{44} - 12 q^{45} + 53 q^{46} + 14 q^{48} + 8 q^{49} - 22 q^{51} - 31 q^{52} - 30 q^{53} + 10 q^{54} + 16 q^{55} + 16 q^{56} - 44 q^{57} + 30 q^{58} - 18 q^{59} + 10 q^{60} - 22 q^{61} - 8 q^{62} + 12 q^{63} + 58 q^{64} - 10 q^{65} - 8 q^{66} - 8 q^{67} - 6 q^{68} + 12 q^{69} + 3 q^{70} - 23 q^{72} + 30 q^{73} - 43 q^{74} - 12 q^{75} - 8 q^{76} + 32 q^{77} - 8 q^{78} - 6 q^{79} + 3 q^{80} - 4 q^{81} - 27 q^{82} - 16 q^{84} - 36 q^{86} - 14 q^{87} + 49 q^{88} - 60 q^{89} - 24 q^{90} + 18 q^{91} - 38 q^{92} + 18 q^{93} + 11 q^{94} + 18 q^{95} + 2 q^{96} - 19 q^{98} - 56 q^{99}+O(q^{100}) \) 24 * q - 3 * q^2 + 12 * q^3 + q^4 + 12 * q^5 + 2 * q^6 - 10 * q^7 - 6 * q^8 + 12 * q^9 - 3 * q^10 + 8 * q^11 + 8 * q^12 - 20 * q^13 - 15 * q^14 - 3 * q^16 + 6 * q^17 - 27 * q^18 + 18 * q^19 + 2 * q^20 + 26 * q^21 - 16 * q^22 - 18 * q^23 + 6 * q^24 - 12 * q^25 - 29 * q^26 + 3 * q^28 + 10 * q^30 + 6 * q^31 - 33 * q^32 + 12 * q^33 + 20 * q^34 - 8 * q^35 - 22 * q^36 + 9 * q^38 + 18 * q^39 - 3 * q^40 - 12 * q^42 + 32 * q^43 - 25 * q^44 - 12 * q^45 + 53 * q^46 + 14 * q^48 + 8 * q^49 - 22 * q^51 - 31 * q^52 - 30 * q^53 + 10 * q^54 + 16 * q^55 + 16 * q^56 - 44 * q^57 + 30 * q^58 - 18 * q^59 + 10 * q^60 - 22 * q^61 - 8 * q^62 + 12 * q^63 + 58 * q^64 - 10 * q^65 - 8 * q^66 - 8 * q^67 - 6 * q^68 + 12 * q^69 + 3 * q^70 - 23 * q^72 + 30 * q^73 - 43 * q^74 - 12 * q^75 - 8 * q^76 + 32 * q^77 - 8 * q^78 - 6 * q^79 + 3 * q^80 - 4 * q^81 - 27 * q^82 - 16 * q^84 - 36 * q^86 - 14 * q^87 + 49 * q^88 - 60 * q^89 - 24 * q^90 + 18 * q^91 - 38 * q^92 + 18 * q^93 + 11 * q^94 + 18 * q^95 + 2 * q^96 - 19 * q^98 - 56 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/280\mathbb{Z}\right)^\times$.

$n$	$57$	$71$	$141$	$241$
$\chi(n)$	$1$	$-1$	$-1$	$e\left(\frac{5}{6}\right)$

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 $

$2$	1.03665	−	0.961958i	0.733020	−	0.680207i
$2$	1.03665	−	0.961958i	0.733020	−	0.680207i
$3$	−2.66758	+	1.54013i	−1.54013	+	0.889192i	−0.541296	+	0.840832i	$0.682066\pi$
$3$	−2.66758	+	1.54013i	−1.54013	+	0.889192i	−0.998830	+	0.0483596i	$0.984601\pi$
$4$	0.149275	−	1.99442i	0.0746375	−	0.997211i
$5$	0.500000	−	0.866025i	0.223607	−	0.387298i
$5$	0.500000	−	0.866025i	0.223607	−	0.387298i
$6$	−1.28380	+	4.16266i	−0.524109	+	1.69940i
$7$	−2.53597	+	0.754231i	−0.958506	+	0.285072i
$7$	−2.53597	+	0.754231i	−0.958506	+	0.285072i
$8$	−1.76380	−	2.21111i	−0.623599	−	0.781745i
$9$	3.24397	−	5.61873i	1.08132	−	1.87291i
$10$	−0.314756	−	1.37874i	−0.0995346	−	0.435996i
$11$	−1.64217	−	2.84433i	−0.495134	−	0.857597i	0.504850	−	0.863207i	$-0.331548\pi$
$11$	−1.64217	−	2.84433i	−0.495134	−	0.857597i	−0.999984	+	0.00560987i	$0.998214\pi$
$12$	2.67346	+	5.55017i	0.771761	+	1.60220i
$13$	−6.72078			−1.86401			−0.932005	−	0.362446i	$-0.881942\pi$
$13$	−6.72078			−1.86401			−0.932005	+	0.362446i	$0.881942\pi$
$14$	−1.90337	+	3.22137i	−0.508696	+	0.860946i
$15$			3.08025i			0.795317i
$16$	−3.95543	−	0.595434i	−0.988859	−	0.148859i
$17$	3.32426	−	1.91926i	0.806252	−	0.465490i	−0.0394009	−	0.999223i	$-0.512545\pi$
$17$	3.32426	−	1.91926i	0.806252	−	0.465490i	0.845652	+	0.533734i	$0.179212\pi$
$18$	−2.04212	−	8.94520i	−0.481333	−	2.10840i
$19$	−0.618548	−	0.357119i	−0.141905	−	0.0819287i	0.427367	−	0.904078i	$-0.359441\pi$
$19$	−0.618548	−	0.357119i	−0.141905	−	0.0819287i	−0.569271	+	0.822150i	$0.692775\pi$
$20$	−1.65258	−	1.12649i	−0.369529	−	0.251890i
$21$	5.60328	−	5.91768i	1.22274	−	1.29134i
$22$	−4.43848	−	1.36886i	−0.946286	−	0.291843i
$23$	−1.09312	−	0.631110i	−0.227930	−	0.131596i	0.381687	−	0.924292i	$-0.375343\pi$
$23$	−1.09312	−	0.631110i	−0.227930	−	0.131596i	−0.609617	+	0.792696i	$0.708677\pi$
$24$	8.11046	+	3.18182i	1.65554	+	0.649486i
$25$	−0.500000	−	0.866025i	−0.100000	−	0.173205i
$26$	−6.96708	+	6.46511i	−1.36636	+	1.26791i
$27$			10.7438i			2.06764i
$28$	1.12570	+	5.17038i	0.212737	+	0.977110i
$29$			3.04491i			0.565426i	0.959205	+	0.282713i	$0.0912344\pi$
$29$			3.04491i			0.565426i	−0.959205	+	0.282713i	$0.908766\pi$
$30$	2.96307	+	3.19313i	0.540980	+	0.582984i
$31$	−0.0335679	−	0.0581414i	−0.00602898	−	0.0104425i	0.862995	−	0.505212i	$-0.168586\pi$
$31$	−0.0335679	−	0.0581414i	−0.00602898	−	0.0104425i	−0.869024	+	0.494770i	$0.835252\pi$
$32$	−4.67317	+	3.18770i	−0.826108	+	0.563512i
$33$	8.76124	+	5.05831i	1.52514	+	0.880538i
$34$	1.59984	−	5.18740i	0.274370	−	0.889631i
$35$	−0.614801	+	2.57333i	−0.103920	+	0.434972i
$36$	−10.7219	−	7.30859i	−1.78698	−	1.21810i
$37$	0.498735	+	0.287945i	0.0819916	+	0.0473379i	0.540435	−	0.841386i	$-0.318260\pi$
$37$	0.498735	+	0.287945i	0.0819916	+	0.0473379i	−0.458444	+	0.888723i	$0.651593\pi$
$38$	−0.984749	+	0.224811i	−0.159747	+	0.0364691i
$39$	17.9282	−	10.3508i	2.87081	−	1.65746i
$40$	−2.79678	+	0.421945i	−0.442209	+	0.0667153i
$41$			0.230821i			0.0360483i	0.999838	+	0.0180241i	$0.00573757\pi$
$41$			0.230821i			0.0360483i	−0.999838	+	0.0180241i	$0.994262\pi$
$42$	0.116067	−	11.5247i	0.0179095	−	1.77829i
$43$	10.0631			1.53462			0.767308	−	0.641279i	$-0.221596\pi$
$43$	10.0631			1.53462			0.767308	+	0.641279i	$0.221596\pi$
$44$	−5.91792	+	2.85060i	−0.892160	+	0.429744i
$45$	−3.24397	−	5.61873i	−0.483583	−	0.837591i
$46$	−1.74028	+	0.397292i	−0.256590	+	0.0585775i
$47$	4.23402	−	7.33354i	0.617595	−	1.06971i	−0.372328	−	0.928101i	$-0.621440\pi$
$47$	4.23402	−	7.33354i	0.617595	−	1.06971i	0.989923	−	0.141605i	$-0.0452263\pi$
$48$	11.4685	−	4.50350i	1.65533	−	0.650024i
$49$	5.86227	−	3.82541i	0.837467	−	0.546487i
$50$	−1.35140	−	0.416784i	−0.191117	−	0.0589422i
$51$	−5.91181	+	10.2396i	−0.827819	+	1.43382i
$52$	−1.00324	+	13.4041i	−0.139125	+	1.85881i
$53$	−2.16915	+	1.25236i	−0.297955	+	0.172024i	−0.641524	−	0.767103i	$-0.721697\pi$
$53$	−2.16915	+	1.25236i	−0.297955	+	0.172024i	0.343569	+	0.939128i	$0.388364\pi$
$54$	10.3350	+	11.1375i	1.40642	+	1.51562i
$55$	−3.28435			−0.442861
$56$	6.14064	+	4.27698i	0.820577	+	0.571536i
$57$	2.20003			0.291401
$58$	2.92908	+	3.15650i	0.384606	+	0.414469i
$59$	0.986424	−	0.569512i	0.128422	−	0.0741442i	−0.434413	−	0.900714i	$-0.643044\pi$
$59$	0.986424	−	0.569512i	0.128422	−	0.0741442i	0.562835	+	0.826570i	$0.309711\pi$
$60$	6.14332	+	0.459804i	0.793099	+	0.0593605i
$61$	0.0888960	−	0.153972i	0.0113820	−	0.0197141i	−0.860278	−	0.509825i	$-0.829710\pi$
$61$	0.0888960	−	0.153972i	0.0113820	−	0.0197141i	0.871660	+	0.490111i	$0.163044\pi$
$62$	−0.0907277	−	0.0279812i	−0.0115224	−	0.00355361i
$63$	−3.98880	+	16.6956i	−0.502541	+	2.10345i
$64$	−1.77799	+	7.79992i	−0.222249	+	0.974990i
$65$	−3.36039	+	5.82037i	−0.416805	+	0.721928i
$66$	13.9482	−	3.18427i	1.71690	−	0.391956i
$67$	−6.92927	−	12.0019i	−0.846545	−	1.46626i	−0.884272	−	0.466971i	$-0.845345\pi$
$67$	−6.92927	−	12.0019i	−0.846545	−	1.46626i	0.0377270	−	0.999288i	$-0.487988\pi$
$68$	−3.33159	−	6.91647i	−0.404015	−	0.838746i
$69$	3.88796			0.468055
$70$	1.83810	+	3.25905i	0.219695	+	0.389531i
$71$			12.0720i			1.43268i	0.697749	+	0.716342i	$0.254185\pi$
$71$			12.0720i			1.43268i	−0.697749	+	0.716342i	$0.745815\pi$
$72$	−18.1453	+	2.73756i	−2.13845	+	0.322624i
$73$	−3.89739	+	2.25016i	−0.456155	+	0.263361i	−0.710426	−	0.703772i	$-0.751498\pi$
$73$	−3.89739	+	2.25016i	−0.456155	+	0.263361i	0.254271	+	0.967133i	$0.418164\pi$
$74$	0.794003	−	0.181265i	0.0923010	−	0.0210716i
$75$	2.66758	+	1.54013i	0.308025	+	0.177838i
$76$	−0.804579	+	1.18034i	−0.0922916	+	0.135394i
$77$	6.30978	+	5.97455i	0.719066	+	0.680863i
$78$	8.62814	−	27.9763i	0.976944	−	3.16770i
$79$	−9.66655	−	5.58099i	−1.08757	−	0.627910i	−0.154643	−	0.987970i	$-0.549423\pi$
$79$	−9.66655	−	5.58099i	−1.08757	−	0.627910i	−0.932929	+	0.360061i	$0.882756\pi$
$80$	−2.49338	+	3.12779i	−0.278768	+	0.349697i
$81$	−6.81481	−	11.8036i	−0.757202	−	1.31151i
$82$	0.222040	+	0.239280i	0.0245203	+	0.0264241i
$83$			3.24478i			0.356161i	0.984016	+	0.178081i	$0.0569888\pi$
$83$			3.24478i			0.356161i	−0.984016	+	0.178081i	$0.943011\pi$
$84$	−10.9659	−	12.0587i	−1.19648	−	1.31571i
$85$		−	3.83853i		−	0.416347i
$86$	10.4319	−	9.68032i	1.12490	−	1.04386i
$87$	−4.68955	−	8.12253i	−0.502772	−	0.870827i
$88$	−3.39264	+	8.64786i	−0.361657	+	0.921865i
$89$	−13.3148	−	7.68732i	−1.41137	−	0.814854i	−0.415852	−	0.909433i	$-0.636516\pi$
$89$	−13.3148	−	7.68732i	−1.41137	−	0.814854i	−0.995517	+	0.0945783i	$0.969850\pi$
$90$	−8.76784	−	2.70407i	−0.924211	−	0.285034i
$91$	17.0437	−	5.06902i	1.78666	−	0.531378i
$92$	−1.42187	+	2.08592i	−0.148241	+	0.217473i
$93$	0.179090	+	0.103398i	0.0185708	+	0.0107218i
$94$	−2.66537	−	11.6752i	−0.274912	−	1.20421i
$95$	−0.618548	+	0.357119i	−0.0634617	+	0.0366396i
$96$	7.55658	−	15.7007i	0.771240	−	1.60245i
$97$			5.76555i			0.585403i	0.956204	+	0.292701i	$0.0945542\pi$
$97$			5.76555i			0.585403i	−0.956204	+	0.292701i	$0.905446\pi$
$98$	2.39722	−	9.60486i	0.242156	−	0.970237i
$99$	−21.3087			−2.14160
$100$	−1.80186	+	0.867935i	−0.180186	+	0.0867935i
$101$	−5.65852	−	9.80085i	−0.563044	−	0.975221i	−0.997229	−	0.0743970i	$-0.976297\pi$
$101$	−5.65852	−	9.80085i	−0.563044	−	0.975221i	0.434185	−	0.900824i	$-0.357037\pi$
$102$	3.72156	+	16.3017i	0.368489	+	1.61411i
$103$	−0.346486	+	0.600132i	−0.0341403	+	0.0591327i	−0.882591	−	0.470142i	$-0.844203\pi$
$103$	−0.346486	+	0.600132i	−0.0341403	+	0.0591327i	0.848450	+	0.529275i	$0.177536\pi$
$104$	11.8541	+	14.8604i	1.16239	+	1.45718i
$105$	−2.32322	−	7.81142i	−0.226723	−	0.762317i
$106$	−1.04392	+	3.38488i	−0.101395	+	0.328769i
$107$	2.55924	−	4.43274i	0.247411	−	0.428529i	−0.715396	−	0.698720i	$-0.753753\pi$
$107$	2.55924	−	4.43274i	0.247411	−	0.428529i	0.962807	+	0.270191i	$0.0870868\pi$
$108$	21.4276	+	1.60377i	2.06187	+	0.154323i
$109$	10.6122	−	6.12698i	1.01647	−	0.586858i	0.103389	−	0.994641i	$-0.467031\pi$
$109$	10.6122	−	6.12698i	1.01647	−	0.586858i	0.913079	+	0.407783i	$0.133698\pi$
$110$	−3.40471	+	3.15940i	−0.324626	+	0.301237i
$111$	−1.77389			−0.168370
$112$	10.4800	−	1.47331i	0.990262	−	0.139215i
$113$	−6.58353			−0.619326			−0.309663	−	0.950846i	$-0.600216\pi$
$113$	−6.58353			−0.619326			−0.309663	+	0.950846i	$0.600216\pi$
$114$	2.28066	−	2.11634i	0.213603	−	0.198213i
$115$	−1.09312	+	0.631110i	−0.101934	+	0.0588514i
$116$	6.07284	+	0.454529i	0.563849	+	0.0422019i
$117$	−21.8020	+	37.7622i	−2.01560	+	3.49112i
$118$	0.474727	−	1.53928i	0.0437022	−	0.141702i
$119$	−6.98265	+	7.37445i	−0.640099	+	0.676015i
$120$	6.81077	−	5.43296i	0.621735	−	0.495959i
$121$	0.106534	−	0.184523i	0.00968495	−	0.0167748i
$122$	−0.0559611	−	0.245129i	−0.00506648	−	0.0221930i
$123$	−0.355494	−	0.615734i	−0.0320538	−	0.0555188i
$124$	−0.120969	+	0.0582696i	−0.0108634	+	0.00523276i
$125$	−1.00000			−0.0894427
$126$	11.9255	+	21.1445i	1.06241	+	1.88370i
$127$		−	16.4627i		−	1.46083i	−0.683004	−	0.730415i	$-0.739327\pi$
$127$		−	16.4627i		−	1.46083i	0.683004	−	0.730415i	$-0.260673\pi$
$128$	5.66004	+	9.79612i	0.500282	+	0.865863i
$129$	−26.8442	+	15.4985i	−2.36350	+	1.36457i
$130$	2.11541	+	9.26622i	0.185533	+	0.812701i
$131$	−0.446341	−	0.257695i	−0.0389970	−	0.0225149i	0.480375	−	0.877063i	$-0.340501\pi$
$131$	−0.446341	−	0.257695i	−0.0389970	−	0.0225149i	−0.519372	+	0.854548i	$0.673834\pi$
$132$	11.3962	−	16.7185i	0.991914	−	1.45516i
$133$	1.83797	+	0.439114i	0.159372	+	0.0380760i
$134$	−18.7285	−	5.77602i	−1.61789	−	0.498972i
$135$	9.30437	+	5.37188i	0.800792	+	0.462338i
$136$	−10.1070	−	3.96510i	−0.866671	−	0.340004i
$137$	4.22144	+	7.31175i	0.360662	+	0.624685i	0.988070	−	0.154006i	$-0.0492175\pi$
$137$	4.22144	+	7.31175i	0.360662	+	0.624685i	−0.627408	+	0.778691i	$0.715884\pi$
$138$	4.03044	−	3.74005i	0.343094	−	0.318374i
$139$		−	19.1037i		−	1.62036i	−0.586182	−	0.810179i	$-0.699370\pi$
$139$		−	19.1037i		−	1.62036i	0.586182	−	0.810179i	$-0.300630\pi$
$140$	5.04053	+	1.61031i	0.426002	+	0.136096i
$141$			26.0837i			2.19664i
$142$	11.6128	+	12.5144i	0.974521	+	1.05019i
$143$	11.0367	+	19.1161i	0.922934	+	1.59857i
$144$	−16.1769	+	20.2929i	−1.34808	+	1.69108i
$145$	2.63697	+	1.52246i	0.218988	+	0.126433i
$146$	−1.87566	+	6.08174i	−0.155231	+	0.503328i
$147$	−9.74644	+	19.2332i	−0.803873	+	1.58633i
$148$	0.648732	−	0.951705i	0.0533255	−	0.0782297i
$149$	5.64120	+	3.25695i	0.462145	+	0.266820i	0.712946	−	0.701219i	$-0.247361\pi$
$149$	5.64120	+	3.25695i	0.462145	+	0.266820i	−0.250801	+	0.968039i	$0.580694\pi$
$150$	4.24687	−	0.969528i	0.346756	−	0.0791616i
$151$	−6.19052	+	3.57410i	−0.503777	+	0.290856i	−0.730272	−	0.683156i	$-0.760607\pi$
$151$	−6.19052	+	3.57410i	−0.503777	+	0.290856i	0.226495	+	0.974012i	$0.427273\pi$
$152$	0.301369	+	1.99756i	0.0244443	+	0.162024i
$153$		−	24.9042i		−	2.01338i
$154$	12.2883	+	0.123757i	0.990217	+	0.00997265i
$155$	−0.0671359			−0.00539248
$156$	−17.9677	−	37.3015i	−1.43857	−	2.98651i
$157$	−11.5674	−	20.0353i	−0.923176	−	1.59899i	−0.794469	−	0.607304i	$-0.792251\pi$
$157$	−11.5674	−	20.0353i	−0.923176	−	1.59899i	−0.128706	−	0.991683i	$-0.541082\pi$
$158$	−15.3895	+	3.51330i	−1.22432	+	0.279503i
$159$	3.85757	−	6.68151i	0.305926	−	0.529879i
$160$	0.424047	+	5.64094i	0.0335239	+	0.445955i
$161$	3.24811	+	0.776015i	0.255987	+	0.0611585i
$162$	−18.4191	−	5.68061i	−1.44714	−	0.446311i
$163$	−0.415413	+	0.719516i	−0.0325376	+	0.0563568i	−0.881836	−	0.471557i	$-0.843692\pi$
$163$	−0.415413	+	0.719516i	−0.0325376	+	0.0563568i	0.849298	+	0.527914i	$0.177026\pi$
$164$	0.460355	+	0.0344559i	0.0359477	+	0.00269055i
$165$	8.76124	−	5.05831i	0.682062	−	0.393789i
$166$	3.12134	+	3.36370i	0.242263	+	0.261073i
$167$	3.59980			0.278561			0.139280	−	0.990253i	$-0.455521\pi$
$167$	3.59980			0.278561			0.139280	+	0.990253i	$0.455521\pi$
$168$	−22.9677	−	1.95183i	−1.77200	−	0.150587i
$169$	32.1689			2.47453
$170$	−3.69250	−	3.97920i	−0.283202	−	0.305190i
$171$	−4.01311	+	2.31697i	−0.306890	+	0.177183i
$172$	1.50218	−	20.0702i	0.114540	−	1.53033i
$173$	5.28828	−	9.15958i	0.402061	−	0.696390i	−0.591914	−	0.806001i	$-0.701627\pi$
$173$	5.28828	−	9.15958i	0.402061	−	0.696390i	0.993974	+	0.109612i	$0.0349607\pi$
$174$	−12.6749	−	3.90905i	−0.960884	−	0.296345i
$175$	1.92117	+	1.81910i	0.145227	+	0.137511i
$176$	4.80190	+	12.2284i	0.361957	+	0.921747i
$177$	−1.75424	+	3.03844i	−0.131857	+	0.228383i
$178$	−21.1977	+	4.83926i	−1.58883	+	0.362718i
$179$	9.34059	+	16.1784i	0.698149	+	1.20923i	0.969108	+	0.246638i	$0.0793260\pi$
$179$	9.34059	+	16.1784i	0.698149	+	1.20923i	−0.270959	+	0.962591i	$0.587341\pi$
$180$	−11.6904	+	5.63112i	−0.871348	+	0.419719i
$181$	17.3231			1.28761			0.643807	−	0.765188i	$-0.277354\pi$
$181$	17.3231			1.28761			0.643807	+	0.765188i	$0.277354\pi$
$182$	12.7921	−	21.6501i	0.948214	−	1.60481i
$183$			0.547644i			0.0404830i
$184$	0.532588	+	3.53015i	0.0392629	+	0.260246i
$185$	0.498735	−	0.287945i	0.0366677	−	0.0211701i
$186$	0.285117	−	0.0650901i	0.0209058	−	0.00477264i
$187$	−10.9180	−	6.30352i	−0.798405	−	0.460959i
$188$	−13.9941	−	9.53913i	−1.02063	−	0.695713i
$189$	−8.10327	−	27.2458i	−0.589426	−	1.98184i
$190$	−0.297683	+	0.965223i	−0.0215962	+	0.0700247i
$191$	−7.26161	−	4.19249i	−0.525432	−	0.303358i	0.213722	−	0.976894i	$-0.431441\pi$
$191$	−7.26161	−	4.19249i	−0.525432	−	0.303358i	−0.739154	+	0.673536i	$0.764775\pi$
$192$	−7.26992	−	23.5452i	−0.524661	−	1.69923i
$193$	4.32438	+	7.49005i	0.311276	+	0.539146i	0.978639	−	0.205587i	$-0.0659103\pi$
$193$	4.32438	+	7.49005i	0.311276	+	0.539146i	−0.667363	+	0.744733i	$0.732577\pi$
$194$	5.54621	+	5.97684i	0.398195	+	0.429112i
$195$		−	20.7017i		−	1.48248i
$196$	−6.75439	−	12.2629i	−0.482457	−	0.875920i
$197$			9.70322i			0.691326i	0.938359	+	0.345663i	$0.112346\pi$
$197$			9.70322i			0.691326i	−0.938359	+	0.345663i	$0.887654\pi$
$198$	−22.0896	+	20.4980i	−1.56984	+	1.45673i
$199$	0.189423	+	0.328090i	0.0134278	+	0.0232577i	0.872661	−	0.488326i	$-0.162392\pi$
$199$	0.189423	+	0.328090i	0.0134278	+	0.0232577i	−0.859233	+	0.511584i	$0.829059\pi$
$200$	−1.03297	+	2.63305i	−0.0730423	+	0.186185i
$201$	36.9687	+	21.3439i	2.60757	+	1.50548i
$202$	−15.2939	−	4.71676i	−1.07607	−	0.331870i
$203$	−2.29657	−	7.72180i	−0.161187	−	0.541964i
$204$	19.5395	+	13.3192i	1.36804	+	0.932527i
$205$	0.199897	+	0.115411i	0.0139614	+	0.00806064i
$206$	0.218117	+	0.955430i	0.0151970	+	0.0665680i
$207$	−7.09208	+	4.09461i	−0.492933	+	0.284595i
$208$	26.5836	+	4.00178i	1.84324	+	0.277474i
$209$			2.34580i			0.162263i
$210$	−9.92262	−	5.86285i	−0.684726	−	0.404575i
$211$	1.17567			0.0809367			0.0404684	−	0.999181i	$-0.487115\pi$
$211$	1.17567			0.0809367			0.0404684	+	0.999181i	$0.487115\pi$
$212$	2.17393	+	4.51314i	0.149306	+	0.309964i
$213$	−18.5924	−	32.2030i	−1.27393	−	2.20651i
$214$	−1.61107	−	7.05706i	−0.110131	−	0.482411i
$215$	5.03157	−	8.71494i	0.343150	−	0.594354i
$216$	23.7556	−	18.9499i	1.61636	−	1.28938i
$217$	0.128979	+	0.122127i	0.00875568	+	0.00829050i
$218$	5.10725	−	16.5600i	0.345907	−	1.12159i
$219$	6.93105	−	12.0049i	0.468357	−	0.811218i
$220$	−0.490271	+	6.55037i	−0.0330540	+	0.441626i
$221$	−22.3416	+	12.8989i	−1.50286	+	0.867677i
$222$	−1.83889	+	1.70640i	−0.123418	+	0.114526i
$223$	−7.97945			−0.534343			−0.267172	−	0.963649i	$-0.586089\pi$
$223$	−7.97945			−0.534343			−0.267172	+	0.963649i	$0.586089\pi$
$224$	9.44675	−	11.6086i	0.631188	−	0.775630i
$225$	−6.48795			−0.432530
$226$	−6.82480	+	6.33307i	−0.453979	+	0.421270i
$227$	−5.41980	+	3.12912i	−0.359725	+	0.207687i	−0.668960	−	0.743298i	$-0.733260\pi$
$227$	−5.41980	+	3.12912i	−0.359725	+	0.207687i	0.309235	+	0.950986i	$0.399927\pi$
$228$	0.328410	−	4.38779i	0.0217495	−	0.290589i
$229$	−6.97388	+	12.0791i	−0.460847	+	0.798211i	−0.999003	−	0.0446343i	$-0.985788\pi$
$229$	−6.97388	+	12.0791i	−0.460847	+	0.798211i	0.538156	+	0.842845i	$0.319121\pi$
$230$	−0.526073	+	1.70577i	−0.0346883	+	0.112475i
$231$	−26.0334	−	6.21971i	−1.71287	−	0.409227i
$232$	6.73263	−	5.37062i	0.442019	−	0.352599i
$233$	−0.0277929	+	0.0481388i	−0.00182077	+	0.00315367i	−0.866934	−	0.498422i	$-0.833913\pi$
$233$	−0.0277929	+	0.0481388i	−0.00182077	+	0.00315367i	0.865114	+	0.501576i	$0.167246\pi$
$234$	13.7247	+	60.1188i	0.897209	+	3.93009i
$235$	−4.23402	−	7.33354i	−0.276197	−	0.478387i
$236$	−0.988599	−	2.05236i	−0.0643523	−	0.133597i
$237$	34.3817			2.23333
$238$	−0.144639	+	14.3617i	−0.00937558	+	0.930932i
$239$		−	7.90839i		−	0.511552i	−0.966736	−	0.255776i	$-0.917669\pi$
$239$		−	7.90839i		−	0.511552i	0.966736	−	0.255776i	$-0.0823309\pi$
$240$	1.83409	−	12.1837i	0.118390	−	0.786456i
$241$	−11.6219	+	6.70993i	−0.748635	+	0.432225i	−0.825201	−	0.564840i	$-0.808938\pi$
$241$	−11.6219	+	6.70993i	−0.748635	+	0.432225i	0.0765652	+	0.997065i	$0.475605\pi$
$242$	−0.0670647	−	0.293767i	−0.00431109	−	0.0188841i
$243$	8.44497	+	4.87570i	0.541745	+	0.312777i
$244$	−0.293816	−	0.200280i	−0.0188096	−	0.0128216i
$245$	−0.381767	−	6.98958i	−0.0243902	−	0.446548i
$246$	−0.960832	−	0.296328i	−0.0612604	−	0.0188932i
$247$	4.15713	+	2.40012i	0.264512	+	0.152716i
$248$	−0.0693496	+	0.176772i	−0.00440370	+	0.0112251i
$249$	−4.99737	−	8.65570i	−0.316696	−	0.548533i
$250$	−1.03665	+	0.961958i	−0.0655633	+	0.0608395i
$251$			18.3987i			1.16132i	0.814148	+	0.580658i	$0.197205\pi$
$251$			18.3987i			1.16132i	−0.814148	+	0.580658i	$0.802795\pi$
$252$	32.7027	+	10.4476i	2.06008	+	0.658136i
$253$			4.14557i			0.260630i
$254$	−15.8364	−	17.0660i	−0.993666	−	1.07082i
$255$	5.91181	+	10.2396i	0.370212	+	0.641226i
$256$	15.2909	+	4.71040i	0.955682	+	0.294400i
$257$	−25.9092	−	14.9587i	−1.61617	−	0.933096i	−0.987899	−	0.155101i	$-0.950430\pi$
$257$	−25.9092	−	14.9587i	−1.61617	−	0.933096i	−0.628271	−	0.777995i	$-0.716237\pi$
$258$	−12.9191	+	41.8895i	−0.804306	+	2.60792i
$259$	−1.48195	−	0.354058i	−0.0920841	−	0.0220001i
$260$	11.1066	+	7.57087i	0.688805	+	0.469525i
$261$	17.1085	+	9.87761i	1.05899	+	0.611409i
$262$	−0.710590	+	0.162222i	−0.0439004	+	0.0100221i
$263$	17.3117	−	9.99491i	1.06748	−	0.616313i	0.139992	−	0.990153i	$-0.455292\pi$
$263$	17.3117	−	9.99491i	1.06748	−	0.616313i	0.927493	+	0.373840i	$0.121959\pi$
$264$	−4.26865	−	28.2939i	−0.262717	−	1.74137i
$265$			2.50471i			0.153863i
$266$	2.32773	−	1.31284i	0.142723	−	0.0804955i
$267$	47.3578			2.89825
$268$	−24.9711	+	12.0283i	−1.52535	+	0.734746i
$269$	11.9143	+	20.6361i	0.726426	+	1.25821i	0.958384	+	0.285481i	$0.0921533\pi$
$269$	11.9143	+	20.6361i	0.726426	+	1.25821i	−0.231958	+	0.972726i	$0.574513\pi$
$270$	14.8129	−	3.38166i	0.901482	−	0.205802i
$271$	9.94307	−	17.2219i	0.603999	−	1.04616i	−0.388210	−	0.921571i	$-0.626907\pi$
$271$	9.94307	−	17.2219i	0.603999	−	1.04616i	0.992209	−	0.124585i	$-0.0397601\pi$
$272$	−14.2917	+	5.61214i	−0.866561	+	0.340286i
$273$	−37.6584	+	39.7714i	−2.27919	+	2.40708i
$274$	11.4097	+	3.51886i	0.689287	+	0.212582i
$275$	−1.64217	+	2.84433i	−0.0990268	+	0.171519i
$276$	0.580374	−	7.75423i	0.0349344	−	0.466750i
$277$	17.1311	−	9.89062i	1.02931	−	0.594270i	0.112520	−	0.993649i	$-0.464108\pi$
$277$	17.1311	−	9.89062i	1.02931	−	0.594270i	0.916786	+	0.399380i	$0.130774\pi$
$278$	−18.3770	−	19.8038i	−1.10218	−	1.18776i
$279$	−0.435574			−0.0260771
$280$	6.77429	−	3.17945i	0.404842	−	0.190009i
$281$	−9.91394			−0.591416			−0.295708	−	0.955278i	$-0.595556\pi$
$281$	−9.91394			−0.591416			−0.295708	+	0.955278i	$0.595556\pi$
$282$	25.0914	+	27.0396i	1.49417	+	1.61018i
$283$	23.3509	−	13.4816i	1.38806	−	0.801399i	0.394967	−	0.918695i	$-0.370756\pi$
$283$	23.3509	−	13.4816i	1.38806	−	0.801399i	0.993097	+	0.117296i	$0.0374225\pi$
$284$	24.0767	+	1.80205i	1.42869	+	0.106932i
$285$	1.10002	−	1.90528i	0.0651593	−	0.112859i
$286$	29.8300	+	9.19983i	1.76389	+	0.543997i
$287$	−0.174093	−	0.585356i	−0.0102764	−	0.0345525i
$288$	2.75120	+	36.5981i	0.162116	+	2.15656i
$289$	−1.13286	+	1.96217i	−0.0666389	+	0.115422i
$290$	4.19815	−	0.958404i	0.246524	−	0.0562794i
$291$	−8.87967	−	15.3800i	−0.520535	−	0.901594i
$292$	3.90598	+	8.10892i	0.228580	+	0.474539i
$293$	2.04836			0.119666			0.0598332	−	0.998208i	$-0.480943\pi$
$293$	2.04836			0.119666			0.0598332	+	0.998208i	$0.480943\pi$
$294$	8.39791	+	29.3137i	0.489776	+	1.70961i
$295$		−	1.13902i		−	0.0663166i
$296$	−0.242994	−	1.61064i	−0.0141237	−	0.0936163i
$297$	30.5588	−	17.6431i	1.77320	−	1.02376i
$298$	8.98098	−	2.05029i	0.520254	−	0.118770i
$299$	7.34659	+	4.24156i	0.424864	+	0.245295i
$300$	3.46986	−	5.09037i	0.200333	−	0.293893i
$301$	−25.5198	+	7.58993i	−1.47094	+	0.437477i
$302$	−2.97925	+	9.66010i	−0.171437	+	0.555876i
$303$	30.1891	+	17.4297i	1.73432	+	1.00131i
$304$	2.23399	+	1.78086i	0.128128	+	0.102140i
$305$	−0.0888960	−	0.153972i	−0.00509017	−	0.00881644i
$306$	−23.9567	−	25.8168i	−1.36952	−	1.47585i
$307$		−	7.59189i		−	0.433292i	−0.976250	−	0.216646i	$-0.930488\pi$
$307$		−	7.59189i		−	0.433292i	0.976250	−	0.216646i	$-0.0695118\pi$
$308$	12.8577	−	11.6925i	0.732633	−	0.666242i
$309$		−	2.13453i		−	0.121429i
$310$	−0.0695962	+	0.0645819i	−0.00395280	+	0.00366800i
$311$	−8.84137	−	15.3137i	−0.501348	−	0.868360i	−0.999999	−	0.00155721i	$-0.999504\pi$
$311$	−8.84137	−	15.3137i	−0.501348	−	0.868360i	0.498651	−	0.866803i	$-0.333829\pi$
$312$	−54.5087	−	21.3843i	−3.08594	−	1.21065i
$313$	11.5543	+	6.67087i	0.653087	+	0.377060i	0.789638	−	0.613573i	$-0.210268\pi$
$313$	11.5543	+	6.67087i	0.653087	+	0.377060i	−0.136551	+	0.990633i	$0.543602\pi$
$314$	−31.2643	−	9.64218i	−1.76435	−	0.544140i
$315$	12.4644	+	11.8022i	0.702291	+	0.664979i
$316$	−12.5738	+	18.4461i	−0.707332	+	1.03767i
$317$	−1.03929	−	0.600036i	−0.0583725	−	0.0337014i	0.470530	−	0.882384i	$-0.344063\pi$
$317$	−1.03929	−	0.600036i	−0.0583725	−	0.0337014i	−0.528902	+	0.848683i	$0.677396\pi$
$318$	−2.42839	−	10.6372i	−0.136177	−	0.596504i
$319$	8.66072	−	5.00027i	0.484907	−	0.279961i
$320$	5.86593	+	5.43975i	0.327916	+	0.304091i
$321$			15.7662i			0.879984i
$322$	4.11364	−	2.32009i	0.229244	−	0.129294i
$323$	−2.74162			−0.152548
$324$	−24.5586	+	11.8296i	−1.36437	+	0.657202i
$325$	3.36039	+	5.82037i	0.186401	+	0.322856i
$326$	0.261507	+	1.14549i	0.0144836	+	0.0634430i
$327$	−18.8726	+	32.6884i	−1.04366	+	1.80767i
$328$	0.510371	−	0.407124i	0.0281805	−	0.0224796i
$329$	−5.20616	+	21.7910i	−0.287025	+	1.20138i
$330$	4.21644	−	13.6716i	0.232107	−	0.752598i
$331$	−3.01312	+	5.21888i	−0.165616	+	0.286856i	−0.936874	−	0.349667i	$-0.886295\pi$
$331$	−3.01312	+	5.21888i	−0.165616	+	0.286856i	0.771258	+	0.636523i	$0.219628\pi$
$332$	6.47146	+	0.484365i	0.355168	+	0.0265830i
$333$	3.23577	−	1.86817i	0.177319	−	0.102375i
$334$	3.73172	−	3.46286i	0.204191	−	0.189479i
$335$	−13.8585			−0.757173
$336$	−25.6870	+	20.0706i	−1.40134	+	1.09494i
$337$	−17.3124			−0.943069			−0.471534	−	0.881848i	$-0.656300\pi$
$337$	−17.3124			−0.943069			−0.471534	+	0.881848i	$0.656300\pi$
$338$	33.3478	−	30.9451i	1.81388	−	1.68319i
$339$	17.5621	−	10.1395i	0.953840	−	0.550700i
$340$	−7.65564	−	0.572996i	−0.415185	−	0.0310750i
$341$	−0.110249	+	0.190956i	−0.00597030	+	0.0103409i
$342$	−1.93135	+	6.26232i	−0.104436	+	0.338627i
$343$	−11.9813	+	14.1226i	−0.646929	+	0.762550i
$344$	−17.7494	−	22.2507i	−0.956984	−	1.19968i
$345$	1.94398	−	3.36707i	0.104660	−	0.181277i
$346$	−3.32904	−	14.5824i	−0.178970	−	0.783952i
$347$	−2.07692	−	3.59734i	−0.111495	−	0.193115i	0.804878	−	0.593440i	$-0.202231\pi$
$347$	−2.07692	−	3.59734i	−0.111495	−	0.193115i	−0.916373	+	0.400325i	$0.868897\pi$
$348$	−16.8998	+	8.14044i	−0.905923	+	0.436373i
$349$	12.1023			0.647823			0.323912	−	0.946087i	$-0.395002\pi$
$349$	12.1023			0.647823			0.323912	+	0.946087i	$0.395002\pi$
$350$	3.74147	+	0.0376810i	0.199990	+	0.00201413i
$351$		−	72.2064i		−	3.85409i
$352$	16.7410	+	8.05727i	0.892300	+	0.429454i
$353$	10.4647	−	6.04182i	0.556982	−	0.321573i	−0.194952	−	0.980813i	$-0.562455\pi$
$353$	10.4647	−	6.04182i	0.556982	−	0.321573i	0.751933	+	0.659239i	$0.229122\pi$
$354$	1.10432	+	4.83729i	0.0586938	+	0.257099i
$355$	10.4547	+	6.03601i	0.554876	+	0.320358i
$356$	−17.3193	+	25.4079i	−0.917922	+	1.34661i
$357$	7.26918	−	30.4261i	0.384726	−	1.61032i
$358$	25.2458	+	7.78602i	1.33428	+	0.411504i
$359$	−8.88907	−	5.13211i	−0.469147	−	0.270862i	0.246735	−	0.969083i	$-0.420642\pi$
$359$	−8.88907	−	5.13211i	−0.469147	−	0.270862i	−0.715883	+	0.698221i	$0.753975\pi$
$360$	−6.70188	+	17.0831i	−0.353220	+	0.900359i
$361$	−9.24493	−	16.0127i	−0.486575	−	0.842773i
$362$	17.9579	−	16.6641i	0.943846	−	0.875843i
$363$			0.656306i			0.0344471i
$364$	−7.56557	−	34.7490i	−0.396543	−	1.82134i
$365$			4.50031i			0.235557i
$366$	0.526811	+	0.567714i	0.0275368	+	0.0296749i
$367$	9.27079	+	16.0575i	0.483931	+	0.838194i	0.999830	−	0.0184562i	$-0.00587511\pi$
$367$	9.27079	+	16.0575i	0.483931	+	0.838194i	−0.515898	+	0.856650i	$0.672542\pi$
$368$	3.94796	+	3.14719i	0.205802	+	0.164059i
$369$	1.29692	+	0.748779i	0.0675151	+	0.0389799i
$370$	0.240022	−	0.778259i	0.0124781	−	0.0404598i
$371$	4.55632	−	4.81197i	0.236552	−	0.249825i
$372$	0.232952	−	0.341746i	0.0120780	−	0.0177187i
$373$	−23.0707	−	13.3199i	−1.19456	−	0.689677i	−0.235219	−	0.971942i	$-0.575581\pi$
$373$	−23.0707	−	13.3199i	−1.19456	−	0.689677i	−0.959336	+	0.282266i	$0.908914\pi$
$374$	−17.3819	+	3.96815i	−0.898795	+	0.205188i
$375$	2.66758	−	1.54013i	0.137753	−	0.0795317i
$376$	−23.6832	+	3.57305i	−1.22137	+	0.184266i
$377$		−	20.4642i		−	1.05396i
$378$	−34.6096	−	20.4493i	−1.78012	−	1.05180i
$379$	−24.7032			−1.26892			−0.634459	−	0.772956i	$-0.718777\pi$
$379$	−24.7032			−1.26892			−0.634459	+	0.772956i	$0.718777\pi$
$380$	0.619912	+	1.28695i	0.0318008	+	0.0660194i
$381$	25.3546	+	43.9155i	1.29896	+	2.24986i
$382$	−11.5607	+	2.63923i	−0.591498	+	0.135035i
$383$	−9.52490	+	16.4976i	−0.486700	+	0.842989i	−0.999883	−	0.0152904i	$-0.995133\pi$
$383$	−9.52490	+	16.4976i	−0.486700	+	0.842989i	0.513183	+	0.858279i	$0.328466\pi$
$384$	−30.1858	−	17.4147i	−1.54041	−	0.888691i
$385$	8.32900	−	2.47716i	0.424485	−	0.126248i
$386$	11.6880	+	3.60467i	0.594902	+	0.183473i
$387$	32.6446	−	56.5421i	1.65942	−	2.87420i
$388$	11.4989	+	0.860652i	0.583770	+	0.0436930i
$389$	−26.6121	+	15.3645i	−1.34929	+	0.779010i	−0.988148	−	0.153502i	$-0.950945\pi$
$389$	−26.6121	+	15.3645i	−1.34929	+	0.779010i	−0.361137	+	0.932513i	$0.617611\pi$
$390$	−19.9142	−	21.4604i	−1.00839	−	1.08669i
$391$	−4.84507			−0.245026
$392$	−18.7983	−	6.21484i	−0.949457	−	0.313897i
$393$	1.58753			0.0800803
$394$	9.33409	+	10.0588i	0.470244	+	0.506756i
$395$	−9.66655	+	5.58099i	−0.486377	+	0.280810i
$396$	−3.18085	+	42.4985i	−0.159844	+	2.13563i
$397$	14.3388	−	24.8356i	0.719646	−	1.24646i	−0.241494	−	0.970402i	$-0.577637\pi$
$397$	14.3388	−	24.8356i	0.719646	−	1.24646i	0.961140	−	0.276061i	$-0.0890292\pi$
$398$	0.511974	+	0.157897i	0.0256629	+	0.00791466i
$399$	−5.57921	+	1.65933i	−0.279310	+	0.0830705i
$400$	1.46206	+	3.72322i	0.0731028	+	0.186161i
$401$	−3.59148	+	6.22063i	−0.179350	+	0.310643i	−0.941658	−	0.336571i	$-0.890733\pi$
$401$	−3.59148	+	6.22063i	−0.179350	+	0.310643i	0.762308	+	0.647214i	$0.224066\pi$
$402$	58.8554	−	13.4362i	2.93544	−	0.670139i
$403$	0.225603	+	0.390755i	0.0112381	+	0.0194649i
$404$	−20.3917	+	9.82246i	−1.01452	+	0.488686i
$405$	−13.6296			−0.677262
$406$	−9.80877	−	5.79558i	−0.486801	−	0.287630i
$407$		−	1.89142i		−	0.0937543i
$408$	33.0680	−	4.98892i	1.63711	−	0.246988i
$409$	−13.5732	+	7.83652i	−0.671154	+	0.387491i	−0.796514	−	0.604620i	$-0.793325\pi$
$409$	−13.5732	+	7.83652i	−0.671154	+	0.387491i	0.125360	+	0.992111i	$0.459991\pi$
$410$	0.318243	−	0.0726525i	0.0157169	−	0.00358805i
$411$	−22.5220	−	13.0031i	−1.11093	−	0.641395i
$412$	1.14519	+	0.780624i	0.0564197	+	0.0384586i
$413$	−2.07200	+	2.18826i	−0.101956	+	0.107677i
$414$	−3.41314	+	11.0669i	−0.167747	+	0.543911i
$415$	2.81006	+	1.62239i	0.137941	+	0.0796401i
$416$	31.4074	−	21.4239i	1.53987	−	1.05039i
$417$	29.4222	+	50.9607i	1.44081	+	2.49556i
$418$	2.25656	+	2.43177i	0.110372	+	0.118942i
$419$			36.8405i			1.79978i	0.436122	+	0.899888i	$0.356352\pi$
$419$			36.8405i			1.79978i	−0.436122	+	0.899888i	$0.643648\pi$
$420$	−15.9261	+	3.46743i	−0.777112	+	0.169193i
$421$			8.37624i			0.408233i	0.978947	+	0.204116i	$0.0654321\pi$
$421$			8.37624i			0.408233i	−0.978947	+	0.204116i	$0.934568\pi$
$422$	1.21876	−	1.13095i	0.0593282	−	0.0550537i
$423$	−27.4701	−	47.5796i	−1.33564	−	2.31340i
$424$	6.59504	+	2.58730i	0.320284	+	0.125651i
$425$	−3.32426	−	1.91926i	−0.161250	−	0.0930979i
$426$	−50.2517	−	15.4980i	−2.43470	−	0.750883i
$427$	−0.109307	+	0.457517i	−0.00528972	+	0.0221408i
$428$	−8.45871	−	5.76590i	−0.408867	−	0.278705i
$429$	−58.8824	−	33.9958i	−2.84287	−	1.64133i
$430$	−3.16744	−	13.8745i	−0.152747	−	0.669087i
$431$	20.5648	−	11.8731i	0.990570	−	0.571906i	0.0851256	−	0.996370i	$-0.472871\pi$
$431$	20.5648	−	11.8731i	0.990570	−	0.571906i	0.905445	+	0.424464i	$0.139538\pi$
$432$	6.39720	−	42.4962i	0.307785	−	2.04460i
$433$			6.49599i			0.312177i	0.987743	+	0.156089i	$0.0498885\pi$
$433$			6.49599i			0.312177i	−0.987743	+	0.156089i	$0.950111\pi$
$434$	0.251187	+	0.00252975i	0.0120573	+	0.000121432i
$435$	−9.37909			−0.449693
$436$	−10.6356	−	22.0799i	−0.509355	−	1.05743i
$437$	0.450763	+	0.780744i	0.0215629	+	0.0373481i
$438$	−4.36318	−	19.1123i	−0.208481	−	0.913219i
$439$	−11.0256	+	19.0969i	−0.526223	+	0.911444i	0.473311	+	0.880896i	$0.343059\pi$
$439$	−11.0256	+	19.0969i	−0.526223	+	0.911444i	−0.999533	+	0.0305486i	$0.990275\pi$
$440$	5.79294	+	7.26204i	0.276168	+	0.346204i
$441$	−2.47689	−	45.3480i	−0.117947	−	2.15943i
$442$	−10.7521	+	34.8634i	−0.511427	+	1.65828i
$443$	−2.81959	+	4.88367i	−0.133963	+	0.232030i	−0.925201	−	0.379478i	$-0.876104\pi$
$443$	−2.81959	+	4.88367i	−0.133963	+	0.232030i	0.791238	+	0.611508i	$0.209437\pi$
$444$	−0.264797	+	3.53788i	−0.0125667	+	0.167900i
$445$	−13.3148	+	7.68732i	−0.631183	+	0.364414i
$446$	−8.27187	+	7.67589i	−0.391684	+	0.363464i
$447$	−20.0644			−0.949015
$448$	−1.37400	−	21.1214i	−0.0649156	−	0.997891i
$449$	16.7623			0.791063			0.395531	−	0.918452i	$-0.370560\pi$
$449$	16.7623			0.791063			0.395531	+	0.918452i	$0.370560\pi$
$450$	−6.72571	+	6.24113i	−0.317053	+	0.294210i
$451$	0.656532	−	0.379049i	0.0309149	−	0.0178487i
$452$	−0.982755	+	13.1303i	−0.0462249	+	0.617599i
$453$	11.0091	−	19.0684i	0.517254	−	0.895910i
$454$	−2.60834	+	8.45742i	−0.122415	+	0.396926i
$455$	4.13194	−	17.2948i	0.193709	−	0.810792i
$456$	−3.88042	−	4.86451i	−0.181718	−	0.227801i
$457$	−7.58737	+	13.1417i	−0.354922	+	0.614744i	−0.987105	−	0.160076i	$-0.948826\pi$
$457$	−7.58737	+	13.1417i	−0.354922	+	0.614744i	0.632182	+	0.774820i	$0.282159\pi$
$458$	4.39015	+	19.2304i	0.205138	+	0.898576i
$459$	20.6201	+	35.7150i	0.962463	+	1.66704i
$460$	1.09553	+	2.27434i	0.0510791	+	0.106042i
$461$	28.7740			1.34014			0.670070	−	0.742298i	$-0.266264\pi$
$461$	28.7740			1.34014			0.670070	+	0.742298i	$0.266264\pi$
$462$	−32.9705	+	18.5954i	−1.53393	+	0.865134i
$463$			34.4369i			1.60042i	0.599720	+	0.800210i	$0.295279\pi$
$463$			34.4369i			1.60042i	−0.599720	+	0.800210i	$0.704721\pi$
$464$	1.81304	−	12.0439i	0.0841685	−	0.559126i
$465$	0.179090	−	0.103398i	0.00830510	−	0.00479495i
$466$	0.0174960	+	0.0766385i	0.000810486	+	0.00355021i
$467$	15.9360	+	9.20065i	0.737430	+	0.425755i	0.821134	−	0.570735i	$-0.193342\pi$
$467$	15.9360	+	9.20065i	0.737430	+	0.425755i	−0.0837042	+	0.996491i	$0.526675\pi$
$468$	72.0593	+	49.1194i	3.33094	+	2.27055i
$469$	26.6246	+	25.2100i	1.22941	+	1.16409i
$470$	−11.4437	−	3.52934i	−0.527860	−	0.162796i
$471$	61.7136	+	35.6304i	2.84361	+	1.64176i
$472$	−2.99911	−	1.17658i	−0.138045	−	0.0541566i
$473$	−16.5254	−	28.6229i	−0.759840	−	1.31608i
$474$	35.6417	−	33.0737i	1.63708	−	1.51913i
$475$			0.714238i			0.0327715i
$476$	13.6654	+	15.0272i	0.626354	+	0.688769i
$477$			16.2505i			0.744057i
$478$	−7.60754	−	8.19822i	−0.347961	−	0.374978i
$479$	11.9755	+	20.7422i	0.547175	+	0.947735i	0.998467	+	0.0553583i	$0.0176301\pi$
$479$	11.9755	+	20.7422i	0.547175	+	0.947735i	−0.451292	+	0.892377i	$0.649037\pi$
$480$	−9.81893	−	14.3945i	−0.448171	−	0.657018i
$481$	−3.35189	−	1.93521i	−0.152833	−	0.0882382i
$482$	−5.59319	+	18.1357i	−0.254763	+	0.826056i
$483$	−9.85974	+	2.93242i	−0.448634	+	0.133430i
$484$	−0.352114	−	0.240019i	−0.0160052	−	0.0109100i
$485$	4.99311	+	2.88277i	0.226726	+	0.130900i
$486$	13.4447	−	3.06932i	0.609863	−	0.139227i
$487$	21.5404	−	12.4364i	0.976089	−	0.563545i	0.0750017	−	0.997183i	$-0.476104\pi$
$487$	21.5404	−	12.4364i	0.976089	−	0.563545i	0.901087	+	0.433638i	$0.142770\pi$
$488$	−0.497245	+	0.0750185i	−0.0225092	+	0.00339593i
$489$		−	2.55915i		−	0.115729i
$490$	−7.11944	−	6.87849i	−0.321624	−	0.310738i
$491$	−14.2945			−0.645102			−0.322551	−	0.946552i	$-0.604540\pi$
$491$	−14.2945			−0.645102			−0.322551	+	0.946552i	$0.604540\pi$
$492$	−1.28110	+	0.617091i	−0.0577564	+	0.0278206i
$493$	5.84398	+	10.1221i	0.263200	+	0.455875i
$494$	6.61829	−	1.51090i	0.297771	−	0.0679788i
$495$	−10.6543	+	18.4538i	−0.478877	+	0.829439i
$496$	0.0981564	+	0.249962i	0.00440735	+	0.0112236i
$497$	−9.10508	−	30.6142i	−0.408419	−	1.37324i
$498$	−13.5069	−	4.16565i	−0.605260	−	0.186667i
$499$	0.248745	−	0.430838i	0.0111353	−	0.0192870i	−0.860404	−	0.509612i	$-0.829789\pi$
$499$	0.248745	−	0.430838i	0.0111353	−	0.0192870i	0.871539	+	0.490326i	$0.163122\pi$
$500$	−0.149275	+	1.99442i	−0.00667578	+	0.0891932i
$501$	−9.60274	+	5.54414i	−0.429019	+	0.247694i
$502$	17.6988	+	19.0730i	0.789935	+	0.851268i
$503$	14.1052			0.628918			0.314459	−	0.949271i	$-0.398177\pi$
$503$	14.1052			0.628918			0.314459	+	0.949271i	$0.398177\pi$
$504$	43.9513	−	20.6281i	1.95775	−	0.918850i
$505$	−11.3170			−0.503602
$506$	3.98786	+	4.29749i	0.177282	+	0.191047i
$507$	−85.8130	+	49.5441i	−3.81109	+	2.20033i
$508$	−32.8336	−	2.45747i	−1.45675	−	0.109033i
$509$	13.9373	−	24.1401i	0.617760	−	1.06999i	−0.372133	−	0.928179i	$-0.621374\pi$
$509$	13.9373	−	24.1401i	0.617760	−	1.06999i	0.989894	−	0.141813i	$-0.0452930\pi$
$510$	15.9785	+	4.92790i	0.707539	+	0.218211i
$511$	8.18651	−	8.64586i	0.362150	−	0.382470i
$512$	20.3825	−	9.82619i	0.900787	−	0.434260i
$513$	3.83680	−	6.64553i	0.169399	−	0.293407i
$514$	−41.2483	+	9.41666i	−1.81938	+	0.415351i
$515$	0.346486	+	0.600132i	0.0152680	+	0.0264450i
$516$	26.9034	+	55.8522i	1.18436	+	2.45876i
$517$	−27.8120			−1.22317
$518$	−1.87685	+	1.05854i	−0.0824641	+	0.0465097i
$519$			32.5785i			1.43004i
$520$	18.7965	−	2.83580i	0.824282	−	0.124358i
$521$	14.0644	−	8.12006i	0.616171	−	0.355746i	−0.159206	−	0.987245i	$-0.550893\pi$
$521$	14.0644	−	8.12006i	0.616171	−	0.355746i	0.775377	+	0.631499i	$0.217560\pi$
$522$	27.2374	−	6.21808i	1.19215	−	0.272158i
$523$	−3.56646	−	2.05910i	−0.155950	−	0.0900380i	0.419994	−	0.907527i	$-0.362032\pi$
$523$	−3.56646	−	2.05910i	−0.155950	−	0.0900380i	−0.575944	+	0.817489i	$0.695366\pi$
$524$	−0.580580	+	0.851724i	−0.0253628	+	0.0372078i
$525$	−7.92650	−	1.89374i	−0.345941	−	0.0826497i
$526$	8.33144	−	27.0143i	0.363268	−	1.17788i
$527$	−0.223177	−	0.128851i	−0.00972175	−	0.00561285i
$528$	−31.6426	−	25.2245i	−1.37707	−	1.09776i
$529$	−10.7034	−	18.5388i	−0.465365	−	0.806036i
$530$	2.40943	+	2.59650i	0.104659	+	0.112785i
$531$		−	7.38993i		−	0.320696i
$532$	1.15014	−	3.60014i	0.0498650	−	0.156086i
$533$		−	1.55130i		−	0.0671943i
$534$	49.0933	−	45.5562i	2.12447	−	1.97141i
$535$	−2.55924	−	4.43274i	−0.110646	−	0.191644i
$536$	−14.3155	+	36.4903i	−0.618336	+	1.57614i
$537$	−49.8335	−	28.7714i	−2.15047	−	1.24158i
$538$	32.2020	+	9.93135i	1.38833	+	0.428171i
$539$	−20.5076	−	10.3922i	−0.883324	−	0.447625i
$540$	12.1027	−	17.7549i	0.520817	−	0.764051i
$541$	−5.94834	−	3.43428i	−0.255739	−	0.147651i	0.366650	−	0.930359i	$-0.380505\pi$
$541$	−5.94834	−	3.43428i	−0.255739	−	0.147651i	−0.622389	+	0.782708i	$0.713838\pi$
$542$	−6.25929	−	27.4179i	−0.268859	−	1.17770i
$543$	−46.2106	+	26.6797i	−1.98309	+	1.14494i
$544$	−9.41680	+	19.5658i	−0.403742	+	0.838877i
$545$		−	12.2540i		−	0.524902i
$546$	−0.780060	+	77.4547i	−0.0333835	+	3.31476i
$547$	−25.9783			−1.11075			−0.555376	−	0.831599i	$-0.687426\pi$
$547$	−25.9783			−1.11075			−0.555376	+	0.831599i	$0.687426\pi$
$548$	15.2129	−	7.32787i	0.649861	−	0.313031i
$549$	−0.576753	−	0.998965i	−0.0246152	−	0.0426348i
$550$	1.03377	+	4.52827i	0.0440800	+	0.193086i
$551$	1.08740	−	1.88342i	0.0463246	−	0.0802365i
$552$	−6.85759	−	8.59669i	−0.291879	−	0.365900i
$553$	28.7234	+	6.86239i	1.22144	+	0.291819i
$554$	8.24450	−	26.7324i	0.350275	−	1.13575i
$555$	−0.886943	+	1.53623i	−0.0376486	+	0.0652093i
$556$	−38.1009	−	2.85171i	−1.61584	−	0.120939i
$557$	−6.50339	+	3.75473i	−0.275557	+	0.159093i	−0.631410	−	0.775449i	$-0.717524\pi$
$557$	−6.50339	+	3.75473i	−0.275557	+	0.159093i	0.355853	+	0.934542i	$0.384190\pi$
$558$	−0.451537	+	0.419004i	−0.0191151	+	0.0177378i
$559$	−67.6322			−2.86054
$560$	3.96405	−	9.81256i	0.167512	−	0.414656i
$561$	38.8329			1.63953
$562$	−10.2773	+	9.53679i	−0.433520	+	0.402285i
$563$	25.3072	−	14.6111i	1.06657	−	0.615786i	0.139329	−	0.990246i	$-0.455505\pi$
$563$	25.3072	−	14.6111i	1.06657	−	0.615786i	0.927243	+	0.374460i	$0.122172\pi$
$564$	52.0219	+	3.89364i	2.19052	+	0.163952i
$565$	−3.29176	+	5.70150i	−0.138486	+	0.239864i
$566$	11.2379	−	36.4382i	0.472362	−	1.53161i
$567$	26.1848	+	24.7936i	1.09966	+	1.04123i
$568$	26.6925	−	21.2927i	1.11999	−	0.893420i
$569$	21.0499	−	36.4596i	0.882460	−	1.52847i	0.0338620	−	0.999427i	$-0.489219\pi$
$569$	21.0499	−	36.4596i	0.882460	−	1.52847i	0.848598	−	0.529039i	$-0.177447\pi$
$570$	−0.692474	−	3.03328i	−0.0290045	−	0.127050i
$571$	−13.3062	−	23.0470i	−0.556846	−	0.964485i	−0.997757	−	0.0669348i	$-0.978678\pi$
$571$	−13.3062	−	23.0470i	−0.556846	−	0.964485i	0.440911	−	0.897551i	$-0.354655\pi$
$572$	39.7731	−	19.1583i	1.66300	−	0.801047i
$573$	25.8279			1.07897
$574$	−0.743560	−	0.439338i	−0.0310356	−	0.0183376i
$575$			1.26222i			0.0526382i
$576$	38.0579	+	35.2928i	1.58574	+	1.47053i
$577$	25.7918	−	14.8909i	1.07373	−	0.619916i	0.144528	−	0.989501i	$-0.453833\pi$
$577$	25.7918	−	14.8909i	1.07373	−	0.619916i	0.929197	+	0.369585i	$0.120500\pi$
$578$	0.713151	+	3.12385i	0.0296632	+	0.129935i
$579$	−23.0712	−	13.3202i	−0.958808	−	0.553568i
$580$	3.43005	−	5.03197i	0.142425	−	0.208941i
$581$	−2.44732	−	8.22867i	−0.101532	−	0.341383i
$582$	−24.0000	−	7.40181i	−0.994833	−	0.306815i
$583$	7.12423	+	4.11317i	0.295055	+	0.170350i
$584$	11.8496	+	4.64871i	0.490338	+	0.192365i
$585$	21.8020	+	37.7622i	0.901403	+	1.56128i
$586$	2.12342	−	1.97043i	0.0877179	−	0.0813979i
$587$			25.4403i			1.05003i	0.851092	+	0.525017i	$0.175941\pi$
$587$			25.4403i			1.05003i	−0.851092	+	0.525017i	$0.824059\pi$
$588$	36.9042	+	22.3095i	1.52190	+	0.920030i
$589$			0.0479510i			0.00197579i
$590$	−1.09569	−	1.18077i	−0.0451090	−	0.0486114i
$591$	−14.9442	−	25.8841i	−0.614721	−	1.06473i
$592$	−1.80126	−	1.43591i	−0.0740314	−	0.0590156i
$593$	−12.1719	−	7.02748i	−0.499842	−	0.288584i	0.228806	−	0.973472i	$-0.426518\pi$
$593$	−12.1719	−	7.02748i	−0.499842	−	0.288584i	−0.728648	+	0.684888i	$0.759851\pi$
$594$	14.7067	−	47.6859i	0.603425	−	1.95658i
$595$	2.89513	+	9.73438i	0.118689	+	0.399071i
$596$	7.33782	−	10.7647i	0.300569	−	0.440941i
$597$	−1.01060	−	0.583471i	−0.0413612	−	0.0238799i
$598$	11.6960	−	2.67011i	0.478286	−	0.109189i
$599$	−5.81502	+	3.35730i	−0.237595	+	0.137176i	−0.614071	−	0.789251i	$-0.710469\pi$
$599$	−5.81502	+	3.35730i	−0.237595	+	0.137176i	0.376476	+	0.926426i	$0.377136\pi$
$600$	−1.29970	−	8.61478i	−0.0530599	−	0.351697i
$601$			2.72540i			0.111171i	0.998454	+	0.0555856i	$0.0177026\pi$
$601$			2.72540i			0.111171i	−0.998454	+	0.0555856i	$0.982297\pi$
$602$	−19.1539	+	32.4171i	−0.780653	+	1.32122i
$603$	−89.9135			−3.66156
$604$	6.20417	+	12.8800i	0.252444	+	0.524081i
$605$	−0.106534	−	0.184523i	−0.00433124	−	0.00750193i
$606$	48.0620	−	10.9722i	1.95239	−	0.445715i
$607$	16.0138	−	27.7367i	0.649979	−	1.12580i	−0.333148	−	0.942875i	$-0.608111\pi$
$607$	16.0138	−	27.7367i	0.649979	−	1.12580i	0.983127	−	0.182923i	$-0.0585559\pi$
$608$	4.02897	−	0.302871i	0.163396	−	0.0122830i
$609$	18.0188	+	17.0615i	0.730159	+	0.691366i
$610$	−0.240269	−	0.0741009i	−0.00972820	−	0.00300026i
$611$	−28.4559	+	49.2871i	−1.15120	+	1.99394i
$612$	−49.6694	−	3.71757i	−2.00777	−	0.150274i
$613$	−26.3757	+	15.2280i	−1.06530	+	0.615054i	−0.926895	−	0.375321i	$-0.877532\pi$
$613$	−26.3757	+	15.2280i	−1.06530	+	0.615054i	−0.138410	+	0.990375i	$0.544199\pi$
$614$	−7.30308	−	7.87011i	−0.294728	−	0.317612i
$615$	−0.710988			−0.0286698
$616$	2.08116	−	24.4895i	0.0838521	−	0.986711i
$617$	25.2200			1.01532			0.507660	−	0.861557i	$-0.330511\pi$
$617$	25.2200			1.01532			0.507660	+	0.861557i	$0.330511\pi$
$618$	−2.05333	−	2.21275i	−0.0825969	−	0.0890100i
$619$	1.07430	−	0.620250i	0.0431800	−	0.0249300i	−0.478255	−	0.878221i	$-0.658730\pi$
$619$	1.07430	−	0.620250i	0.0431800	−	0.0249300i	0.521435	+	0.853291i	$0.325397\pi$
$620$	−0.0100217	+	0.133897i	−0.000402481	+	0.00537744i
$621$	6.78050	−	11.7442i	0.272092	−	0.471277i
$622$	−23.8965	−	7.36988i	−0.958163	−	0.295505i
$623$	39.5640	+	9.45235i	1.58510	+	0.378700i
$624$	−77.0770	+	30.2670i	−3.08555	+	1.21165i
$625$	−0.500000	+	0.866025i	−0.0200000	+	0.0346410i
$626$	18.3948	−	4.19939i	0.735204	−	0.167842i
$627$	−3.61283	−	6.25761i	−0.144283	−	0.249905i
$628$	−41.6854	+	20.0794i	−1.66343	+	0.801256i
$629$	2.21057			0.0881411
$630$	24.2744	+	0.244472i	0.967117	+	0.00974001i
$631$			8.73486i			0.347729i	0.984770	+	0.173865i	$0.0556255\pi$
$631$			8.73486i			0.347729i	−0.984770	+	0.173865i	$0.944374\pi$
$632$	4.70974	+	31.2175i	0.187343	+	1.24177i
$633$	−3.13620	+	1.81069i	−0.124653	+	0.0719683i
$634$	−1.65459	+	0.377730i	−0.0657121	+	0.0150016i
$635$	−14.2571	−	8.23136i	−0.565777	−	0.326651i
$636$	−12.7499	−	8.69101i	−0.505567	−	0.344621i
$637$	−39.3990	+	25.7098i	−1.56105	+	1.01866i
$638$	4.16807	−	13.5148i	0.165015	−	0.535055i
$639$	67.8293	+	39.1613i	2.68329	+	1.54920i
$640$	11.3137	−	0.00367857i	0.447214	−	0.000145408i
$641$	10.1834	+	17.6382i	0.402220	+	0.696665i	0.993994	−	0.109439i	$-0.0349054\pi$
$641$	10.1834	+	17.6382i	0.402220	+	0.696665i	−0.591774	+	0.806104i	$0.701572\pi$
$642$	15.1664	+	16.3440i	0.598571	+	0.645046i
$643$			20.9423i			0.825884i	0.910757	+	0.412942i	$0.135499\pi$
$643$			20.9423i			0.825884i	−0.910757	+	0.412942i	$0.864501\pi$
$644$	2.03256	−	6.36226i	0.0800942	−	0.250708i
$645$			30.9970i			1.22051i
$646$	−2.84209	+	2.63732i	−0.111821	+	0.103764i
$647$	9.88308	+	17.1180i	0.388544	+	0.672978i	0.992254	−	0.124226i	$-0.0396448\pi$
$647$	9.88308	+	17.1180i	0.388544	+	0.672978i	−0.603710	+	0.797204i	$0.706311\pi$
$648$	−14.0790	+	35.8875i	−0.553077	+	1.40980i
$649$	−3.23976	−	1.87048i	−0.127172	−	0.0734226i
$650$	9.08249	+	2.80111i	0.356244	+	0.109869i
$651$	−0.532152	−	0.127138i	−0.0208567	−	0.00498293i
$652$	1.37301	+	0.935914i	0.0537711	+	0.0366532i
$653$	−33.9904	−	19.6243i	−1.33015	−	0.767960i	−0.344824	−	0.938667i	$-0.612061\pi$
$653$	−33.9904	−	19.6243i	−1.33015	−	0.767960i	−0.985322	+	0.170708i	$0.945395\pi$
$654$	11.8806	+	52.0410i	0.464567	+	2.03496i
$655$	−0.446341	+	0.257695i	−0.0174400	+	0.0100690i
$656$	0.137439	−	0.912999i	0.00536609	−	0.0356466i
$657$			29.1978i			1.13911i
$658$	15.5651	+	27.5977i	0.606791	+	1.07587i
$659$	43.0875			1.67845			0.839225	−	0.543785i	$-0.183009\pi$
$659$	43.0875			1.67845			0.839225	+	0.543785i	$0.183009\pi$
$660$	−8.78056	−	18.2287i	−0.341783	−	0.709551i
$661$	−4.37780	−	7.58258i	−0.170277	−	0.294928i	0.768240	−	0.640162i	$-0.221133\pi$
$661$	−4.37780	−	7.58258i	−0.170277	−	0.294928i	−0.938517	+	0.345234i	$0.887800\pi$
$662$	1.89680	+	8.30863i	0.0737211	+	0.322924i
$663$	39.7320	−	68.8178i	1.54306	−	2.67266i
$664$	7.17456	−	5.72316i	0.278427	−	0.222102i
$665$	1.29927	−	1.37217i	0.0503835	−	0.0532105i
$666$	1.55725	−	5.04931i	0.0603421	−	0.195657i
$667$	1.92167	−	3.32844i	0.0744076	−	0.128878i
$668$	0.537360	−	7.17952i	0.0207911	−	0.277784i
$669$	21.2858	−	12.2894i	0.822956	−	0.475134i
$670$	−14.3664	+	13.3313i	−0.555023	+	0.515034i
$671$	−0.583931			−0.0225424
$672$	−7.32127	+	45.5159i	−0.282424	+	1.75581i
$673$	−13.0780			−0.504121			−0.252060	−	0.967712i	$-0.581108\pi$
$673$	−13.0780			−0.504121			−0.252060	+	0.967712i	$0.581108\pi$
$674$	−17.9469	+	16.6538i	−0.691288	+	0.641482i
$675$	9.30437	−	5.37188i	0.358125	−	0.206764i
$676$	4.80201	−	64.1583i	0.184693	−	2.46763i
$677$	13.8738	−	24.0302i	0.533215	−	0.923555i	−0.466033	−	0.884767i	$-0.654317\pi$
$677$	13.8738	−	24.0302i	0.533215	−	0.923555i	0.999247	−	0.0387876i	$-0.0123496\pi$
$678$	8.45193	−	27.4050i	0.324594	−	1.05248i
$679$	−4.34855	−	14.6212i	−0.166882	−	0.561112i
$680$	−8.48739	+	6.77040i	−0.325477	+	0.259633i
$681$	9.63849	−	16.6944i	0.369348	−	0.639729i
$682$	0.0694029	+	0.304009i	0.00265758	+	0.0116411i
$683$	23.1088	+	40.0257i	0.884235	+	1.53154i	0.846587	+	0.532250i	$0.178653\pi$
$683$	23.1088	+	40.0257i	0.884235	+	1.53154i	0.0376480	+	0.999291i	$0.488013\pi$
$684$	4.02196	+	8.34969i	0.153783	+	0.319259i
$685$	8.44288			0.322586
$686$	1.16500	+	26.1657i	0.0444797	+	0.999010i
$687$		−	42.9626i		−	1.63913i
$688$	−39.8041	−	5.99194i	−1.51752	−	0.228441i
$689$	14.5784	−	8.41682i	0.555391	−	0.320655i
$690$	−1.22376	−	5.36049i	−0.0465877	−	0.204070i
$691$	−13.6210	−	7.86409i	−0.518167	−	0.299164i	0.218017	−	0.975945i	$-0.430041\pi$
$691$	−13.6210	−	7.86409i	−0.518167	−	0.299164i	−0.736184	+	0.676781i	$0.763374\pi$
$692$	−17.4786	−	11.9144i	−0.664438	−	0.452916i
$693$	54.0381	−	16.0717i	2.05274	−	0.610512i
$694$	−5.61352	−	1.73126i	−0.213086	−	0.0657176i
$695$	−16.5443	−	9.55187i	−0.627562	−	0.362323i
$696$	−9.68835	+	24.6956i	−0.367236	+	0.936086i
$697$	0.443007	+	0.767311i	0.0167801	+	0.0290640i
$698$	12.5458	−	11.6419i	0.474867	−	0.440654i
$699$		−	0.171218i		−	0.00647607i
$700$	3.91483	−	3.56007i	0.147967	−	0.134558i
$701$		−	36.4270i		−	1.37583i	−0.725792	−	0.687914i	$-0.758526\pi$
$701$		−	36.4270i		−	1.37583i	0.725792	−	0.687914i	$-0.241474\pi$
$702$	−69.4595	−	74.8526i	−2.62158	−	2.82513i
$703$	−0.205661	−	0.356216i	−0.00775666	−	0.0134349i
$704$	25.1053	−	7.75162i	0.946191	−	0.292150i
$705$	22.5891	+	13.0418i	0.850756	+	0.491184i
$706$	5.03627	−	16.3299i	0.189542	−	0.614583i
$707$	21.7419	+	20.5868i	0.817690	+	0.774247i
$708$	5.79806	+	3.95226i	0.217904	+	0.148535i
$709$	28.0338	+	16.1853i	1.05283	+	0.607853i	0.923441	−	0.383741i	$-0.125364\pi$
$709$	28.0338	+	16.1853i	1.05283	+	0.607853i	0.129391	+	0.991594i	$0.458698\pi$
$710$	16.6442	−	3.79974i	0.624645	−	0.142602i
$711$	−62.7161	+	36.2091i	−2.35204	+	1.35795i
$712$	6.48725	+	42.9994i	0.243120	+	1.61147i
$713$			0.0847403i			0.00317355i
$714$	−21.7330	−	38.5337i	−0.813338	−	1.44209i
$715$	22.0734			0.825497
$716$	33.6608	−	16.2141i	1.25796	−	0.605948i
$717$	12.1799	+	21.0962i	0.454868	+	0.787854i
$718$	−14.1517	+	3.23073i	−0.528137	+	0.120570i
$719$	0.853166	−	1.47773i	0.0318177	−	0.0551099i	−0.849678	−	0.527302i	$-0.823204\pi$
$719$	0.853166	−	1.47773i	0.0318177	−	0.0551099i	0.881496	+	0.472192i	$0.156537\pi$
$720$	9.48574	+	24.1561i	0.353513	+	0.900244i
$721$	0.426040	−	1.78325i	0.0158666	−	0.0664116i
$722$	−24.9873	−	7.70628i	−0.929930	−	0.286798i
$723$	20.6683	−	35.7985i	0.768662	−	1.33136i
$724$	2.58590	−	34.5495i	0.0961042	−	1.28402i
$725$	2.63697	−	1.52246i	0.0979346	−	0.0565426i
$726$	0.631338	+	0.680358i	0.0234312	+	0.0252504i
$727$	−13.8129			−0.512293			−0.256146	−	0.966638i	$-0.582453\pi$
$727$	−13.8129			−0.512293			−0.256146	+	0.966638i	$0.582453\pi$
$728$	−41.2699	−	28.7447i	−1.52956	−	1.06535i
$729$	10.8521			0.401930
$730$	4.32911	+	4.66524i	0.160228	+	0.172668i
$731$	33.4525	−	19.3138i	1.23729	−	0.714347i
$732$	1.09223	+	0.0817495i	0.0403701	+	0.00302155i
$733$	17.7219	−	30.6952i	0.654574	−	1.13375i	−0.327427	−	0.944876i	$-0.606182\pi$
$733$	17.7219	−	30.6952i	0.654574	−	1.13375i	0.982001	−	0.188878i	$-0.0604851\pi$
$734$	25.0572	+	7.72783i	0.924876	+	0.285240i
$735$	11.7832	+	18.0573i	0.434631	+	0.666052i
$736$	7.12011	−	0.535241i	0.262451	−	0.0197293i
$737$	−22.7581	+	39.4182i	−0.838307	+	1.45199i
$738$	2.06475	−	0.471366i	0.0760043	−	0.0173512i
$739$	14.3056	+	24.7780i	0.526240	+	0.911474i	0.999533	+	0.0305688i	$0.00973187\pi$
$739$	14.3056	+	24.7780i	0.526240	+	0.911474i	−0.473293	+	0.880905i	$0.656935\pi$
$740$	−0.499835	−	1.03767i	−0.0183743	−	0.0381456i
$741$	−14.7859			−0.543175
$742$	0.0943801	−	9.37131i	0.00346480	−	0.344031i
$743$		−	21.9551i		−	0.805456i	−0.915320	−	0.402728i	$-0.868062\pi$
$743$		−	21.9551i		−	0.805456i	0.915320	−	0.402728i	$-0.131938\pi$
$744$	−0.0872563	−	0.578361i	−0.00319897	−	0.0212037i
$745$	5.64120	−	3.25695i	0.206678	−	0.119325i
$746$	−36.7293	+	8.38502i	−1.34476	+	0.306997i
$747$	18.2316	+	10.5260i	0.667058	+	0.385126i
$748$	−14.2017	+	20.8342i	−0.519264	+	0.761773i
$749$	−3.14685	+	13.1715i	−0.114983	+	0.481277i
$750$	1.28380	−	4.16266i	0.0468777	−	0.151999i
$751$	−2.09527	−	1.20971i	−0.0764576	−	0.0441428i	0.461284	−	0.887253i	$-0.347389\pi$
$751$	−2.09527	−	1.20971i	−0.0764576	−	0.0441428i	−0.537741	+	0.843110i	$0.680722\pi$
$752$	−21.1140	+	26.4862i	−0.769949	+	0.965854i
$753$	−28.3363	−	49.0799i	−1.03263	−	1.78857i
$754$	−19.6857	−	21.2141i	−0.716910	−	0.772573i
$755$			7.14820i			0.260150i
$756$	−55.5493	+	12.0942i	−2.02031	+	0.439863i
$757$		−	12.1295i		−	0.440854i	−0.975403	−	0.220427i	$-0.929255\pi$
$757$		−	12.1295i		−	0.440854i	0.975403	−	0.220427i	$-0.0707451\pi$
$758$	−25.6085	+	23.7634i	−0.930143	+	0.863127i
$759$	−6.38470	−	11.0586i	−0.231750	−	0.401403i
$760$	1.88063	+	0.737789i	0.0682175	+	0.0267624i
$761$	−28.8033	−	16.6296i	−1.04412	−	0.602823i	−0.123122	−	0.992392i	$-0.539291\pi$
$761$	−28.8033	−	16.6296i	−1.04412	−	0.602823i	−0.920997	+	0.389569i	$0.872624\pi$
$762$	68.5287	+	21.1348i	2.48253	+	0.765634i
$763$	−22.2911	+	23.5419i	−0.806994	+	0.852274i
$764$	−9.44558	+	13.8569i	−0.341729	+	0.501324i
$765$	−21.5676	−	12.4521i	−0.779779	−	0.450206i
$766$	5.99604	+	26.2648i	0.216646	+	0.948984i
$767$	−6.62954	+	3.82757i	−0.239379	+	0.138205i
$768$	−48.0443	+	10.9846i	−1.73365	+	0.396372i
$769$		−	32.8673i		−	1.18523i	−0.805487	−	0.592613i	$-0.798096\pi$
$769$		−	32.8673i		−	1.18523i	0.805487	−	0.592613i	$-0.201904\pi$
$770$	6.25131	−	10.5801i	0.225282	−	0.381280i
$771$	92.1529			3.31881
$772$	15.5838	−	7.50657i	0.560875	−	0.270167i
$773$	−13.9148	−	24.1011i	−0.500480	−	0.866857i	−1.00000		0.000554379i	$-0.999824\pi$
$773$	−13.9148	−	24.1011i	−0.500480	−	0.866857i	0.499520	−	0.866302i	$-0.333510\pi$
$774$	−20.5502	−	90.0169i	−0.738661	−	3.23559i
$775$	−0.0335679	+	0.0581414i	−0.00120580	+	0.00208850i
$776$	12.7482	−	10.1693i	0.457635	−	0.365056i
$777$	4.49852	−	1.33792i	0.161383	−	0.0479976i
$778$	−12.8073	+	41.5272i	−0.459165	+	1.48882i
$779$	0.0824307	−	0.142774i	0.00295339	−	0.00511542i
$780$	−41.2879	−	3.09024i	−1.47834	−	0.110648i
$781$	34.3368	−	19.8243i	1.22867	−	0.709370i
$782$	−5.02262	+	4.66075i	−0.179609	+	0.166668i
$783$	−32.7138			−1.16910
$784$	−25.4656	+	11.6406i	−0.909486	+	0.415734i
$785$	−23.1347			−0.825713
$786$	1.64571	−	1.52714i	0.0587005	−	0.0544712i
$787$	−6.78734	+	3.91867i	−0.241943	+	0.139686i	−0.616069	−	0.787692i	$-0.711276\pi$
$787$	−6.78734	+	3.91867i	−0.241943	+	0.139686i	0.374127	+	0.927378i	$0.377943\pi$
$788$	19.3523	+	1.44845i	0.689397	+	0.0515988i
$789$	−30.7868	+	53.3244i	−1.09604	+	1.89840i
$790$	−4.65213	+	15.0843i	−0.165515	+	0.536676i
$791$	16.6956	−	4.96550i	0.593628	−	0.176553i
$792$	37.5843	+	47.1158i	1.33550	+	1.67419i
$793$	−0.597451	+	1.03482i	−0.0212161	+	0.0367474i
$794$	−9.02648	−	39.5391i	−0.320338	−	1.40319i
$795$	−3.85757	−	6.68151i	−0.136814	−	0.236969i
$796$	0.682627	−	0.328814i	0.0241951	−	0.0116545i
$797$	−9.03418			−0.320007			−0.160004	−	0.987116i	$-0.551151\pi$
$797$	−9.03418			−0.320007			−0.160004	+	0.987116i	$0.551151\pi$
$798$	−4.18747	+	7.08711i	−0.148235	+	0.250881i
$799$		−	32.5048i		−	1.14994i
$800$	5.09722	+	2.45323i	0.180214	+	0.0867349i
$801$	−86.3859	+	49.8749i	−3.05230	+	1.76224i
$802$	2.26088	+	9.90345i	0.0798345	+	0.349703i
$803$	12.8004	+	7.39029i	0.451715	+	0.260798i
$804$	48.0872	−	70.5451i	1.69591	−	2.48793i
$805$	2.29610	−	2.42494i	0.0809270	−	0.0854678i
$806$	0.609761	+	0.188055i	0.0214779	+	0.00662396i
$807$	−63.5644	−	36.6989i	−2.23757	−	1.29186i
$808$	−11.6902	+	29.7984i	−0.411260	+	1.04830i
$809$	4.13014	+	7.15361i	0.145208	+	0.251508i	0.929451	−	0.368947i	$-0.120282\pi$
$809$	4.13014	+	7.15361i	0.145208	+	0.251508i	−0.784243	+	0.620454i	$0.786948\pi$
$810$	−14.1291	+	13.1111i	−0.496447	+	0.460678i
$811$			4.89216i			0.171787i	0.996304	+	0.0858936i	$0.0273745\pi$
$811$			4.89216i			0.171787i	−0.996304	+	0.0858936i	$0.972626\pi$
$812$	−15.7433	+	3.42765i	−0.552483	+	0.120287i
$813$			61.2543i			2.14828i
$814$	−1.81947	−	1.96074i	−0.0637723	−	0.0687238i
$815$	0.415413	+	0.719516i	0.0145513	+	0.0252035i
$816$	29.4808	−	36.9818i	1.03203	−	1.29462i
$817$	−6.22454	−	3.59374i	−0.217769	−	0.125729i
$818$	−6.53227	+	21.1806i	−0.228395	+	0.740562i
$819$	26.8078	−	112.208i	0.936742	−	3.92085i
$820$	0.260017	−	0.381451i	0.00908020	−	0.0133209i
$821$	−34.9611	−	20.1848i	−1.22015	−	0.704455i	−0.255202	−	0.966888i	$-0.582142\pi$
$821$	−34.9611	−	20.1848i	−1.22015	−	0.704455i	−0.964950	+	0.262433i	$0.915475\pi$
$822$	−35.8558	+	8.18561i	−1.25062	+	0.285506i
$823$	32.0112	−	18.4817i	1.11584	−	0.644231i	0.175505	−	0.984479i	$-0.443844\pi$
$823$	32.0112	−	18.4817i	1.11584	−	0.644231i	0.940336	+	0.340247i	$0.110511\pi$
$824$	1.93809	−	0.292396i	0.0675166	−	0.0101861i
$825$		−	10.1166i		−	0.352215i
$826$	−0.0429196	+	4.26162i	−0.00149336	+	0.148281i
$827$	34.0217			1.18305			0.591526	−	0.806286i	$-0.298526\pi$
$827$	34.0217			1.18305			0.591526	+	0.806286i	$0.298526\pi$
$828$	7.10771	+	14.7558i	0.247010	+	0.512800i
$829$	5.83499	+	10.1065i	0.202657	+	0.351013i	0.949384	−	0.314118i	$-0.101709\pi$
$829$	5.83499	+	10.1065i	0.202657	+	0.351013i	−0.746726	+	0.665131i	$0.768376\pi$
$830$	4.47372	−	1.02132i	0.155285	−	0.0354504i
$831$	−30.4656	+	52.7680i	−1.05684	+	1.83050i
$832$	11.9495	−	52.4215i	0.414275	−	1.81739i
$833$	12.1457	−	23.9679i	0.420825	−	0.830439i
$834$	79.5224	+	24.5254i	2.75364	+	0.849244i
$835$	1.79990	−	3.11752i	0.0622881	−	0.107886i
$836$	4.67852	+	0.350170i	0.161810	+	0.0121109i
$837$	0.624657	−	0.360646i	0.0215913	−	0.0124657i
$838$	35.4390	+	38.1906i	1.22422	+	1.31927i
$839$	29.7543			1.02723			0.513616	−	0.858020i	$-0.328306\pi$
$839$	29.7543			1.02723			0.513616	+	0.858020i	$0.328306\pi$
$840$	−13.1742	+	18.9147i	−0.454553	+	0.652619i
$841$	19.7285			0.680294
$842$	8.05759	+	8.68321i	0.277683	+	0.299243i
$843$	26.4462	−	15.2687i	0.910855	−	0.525883i
$844$	0.175499	−	2.34479i	0.00604091	−	0.0807110i
$845$	16.0844	−	27.8591i	0.553322	−	0.958382i
$846$	−74.2464	−	22.8982i	−2.55264	−	0.787256i
$847$	−0.130995	+	0.548296i	−0.00450104	+	0.0188397i
$848$	9.32561	−	3.66203i	0.320243	−	0.125755i
$849$	−41.5268	+	71.9265i	−1.42520	+	2.46851i
$850$	−5.29233	+	1.20820i	−0.181526	+	0.0414409i
$851$	−0.363450	−	0.629514i	−0.0124589	−	0.0215795i
$852$	−67.0017	+	32.2740i	−2.29544	+	1.10569i
$853$	11.5473			0.395370			0.197685	−	0.980266i	$-0.436658\pi$
$853$	11.5473			0.395370			0.197685	+	0.980266i	$0.436658\pi$
$854$	0.326800	+	0.579433i	0.0111829	+	0.0198278i
$855$			4.63394i			0.158477i
$856$	−14.3153	+	2.15972i	−0.489285	+	0.0738176i
$857$	29.7816	−	17.1944i	1.01732	−	0.587350i	0.103994	−	0.994578i	$-0.466838\pi$
$857$	29.7816	−	17.1944i	1.01732	−	0.587350i	0.913327	+	0.407228i	$0.133505\pi$
$858$	−93.7428	+	21.4008i	−3.20033	+	0.730610i
$859$	−4.47750	−	2.58509i	−0.152770	−	0.0882020i	0.421666	−	0.906751i	$-0.361445\pi$
$859$	−4.47750	−	2.58509i	−0.152770	−	0.0882020i	−0.574436	+	0.818549i	$0.694779\pi$
$860$	−16.6302	−	11.3360i	−0.567084	−	0.386554i
$861$	1.36593	+	1.29336i	0.0465507	+	0.0440775i
$862$	9.89702	−	32.0906i	0.337094	−	1.09301i
$863$	−24.4172	−	14.0973i	−0.831172	−	0.479878i	0.0230816	−	0.999734i	$-0.492652\pi$
$863$	−24.4172	−	14.0973i	−0.831172	−	0.479878i	−0.854254	+	0.519856i	$0.825986\pi$
$864$	−34.2479	−	50.2074i	−1.16514	−	1.70809i
$865$	−5.28828	−	9.15958i	−0.179807	−	0.311435i
$866$	6.24886	+	6.73405i	0.212345	+	0.228832i
$867$		−	6.97900i		−	0.237019i
$868$	0.262826	−	0.239009i	0.00892088	−	0.00811248i
$869$			36.6598i			1.24360i
$870$	−9.72281	+	9.02229i	−0.329634	+	0.305884i
$871$	46.5701	+	80.6618i	1.57797	+	2.73312i
$872$	−32.2653	−	12.6580i	−1.09264	−	0.428654i
$873$	32.3950	+	18.7033i	1.09641	+	0.633010i
$874$	1.21833	+	0.375742i	0.0412105	+	0.0127096i
$875$	2.53597	−	0.754231i	0.0857314	−	0.0254977i
$876$	−22.9083	−	15.6155i	−0.773998	−	0.527598i
$877$	−3.75181	−	2.16611i	−0.126690	−	0.0731443i	0.435316	−	0.900278i	$-0.356637\pi$
$877$	−3.75181	−	2.16611i	−0.126690	−	0.0731443i	−0.562005	+	0.827133i	$0.689970\pi$
$878$	6.94074	+	30.4029i	0.234239	+	1.02605i
$879$	−5.46415	+	3.15473i	−0.184301	+	0.106406i
$880$	12.9910	+	1.95561i	0.437927	+	0.0659237i
$881$		−	4.70606i		−	0.158551i	−0.996853	−	0.0792757i	$-0.974739\pi$
$881$		−	4.70606i		−	0.158551i	0.996853	−	0.0792757i	$-0.0252607\pi$
$882$	−46.1906	−	44.6273i	−1.55532	−	1.50268i
$883$	−18.9412			−0.637424			−0.318712	−	0.947852i	$-0.603250\pi$
$883$	−18.9412			−0.637424			−0.318712	+	0.947852i	$0.603250\pi$
$884$	22.3909	+	46.4841i	0.753087	+	1.56343i
$885$	1.75424	+	3.03844i	0.0589682	+	0.102136i
$886$	1.77497	+	7.77497i	0.0596312	+	0.261205i
$887$	−16.6634	+	28.8618i	−0.559501	+	0.969085i	0.438037	+	0.898957i	$0.355674\pi$
$887$	−16.6634	+	28.8618i	−0.559501	+	0.969085i	−0.997538	+	0.0701277i	$0.977659\pi$
$888$	3.12879	+	3.92225i	0.104995	+	0.131622i
$889$	12.4167	+	41.7489i	0.416442	+	1.40021i
$890$	−6.40790	+	20.7773i	−0.214793	+	0.696458i
$891$	−22.3822	+	38.7671i	−0.749832	+	1.29875i
$892$	−1.19113	+	15.9144i	−0.0398820	+	0.532853i
$893$	−5.23789	+	3.02410i	−0.175279	+	0.101198i
$894$	−20.7997	+	19.3011i	−0.695647	+	0.645527i
$895$	18.6812			0.624443
$896$	−21.7422	−	20.5737i	−0.726356	−	0.687318i
$897$	−26.1301			−0.872459
$898$	17.3766	−	16.1246i	0.579865	−	0.538086i
$899$	0.177035	−	0.102211i	0.00590446	−	0.00340894i
$900$	−0.968488	+	12.9397i	−0.0322829	+	0.431323i
$901$	−4.80720	+	8.32632i	−0.160151	+	0.277390i
$902$	0.315963	−	1.02450i	0.0105204	−	0.0341120i
$903$	56.3866	−	59.5505i	1.87643	−	1.98172i
$904$	11.6120	+	14.5569i	0.386211	+	0.484155i
$905$	8.66153	−	15.0022i	0.287919	−	0.498690i
$906$	−6.93038	−	30.3575i	−0.230246	−	1.00856i
$907$	−22.7638	−	39.4281i	−0.755861	−	1.30919i	−0.944945	−	0.327228i	$-0.893885\pi$
$907$	−22.7638	−	39.4281i	−0.755861	−	1.30919i	0.189085	−	0.981961i	$-0.439448\pi$
$908$	5.43175	+	11.2765i	0.180259	+	0.374223i
$909$	−73.4244			−2.43533
$910$	−12.3535	−	21.9033i	−0.409514	−	0.726089i
$911$		−	9.10038i		−	0.301509i	−0.988571	−	0.150755i	$-0.951830\pi$
$911$		−	9.10038i		−	0.301509i	0.988571	−	0.150755i	$-0.0481703\pi$
$912$	−8.70208	−	1.30997i	−0.288155	−	0.0433776i
$913$	9.22922	−	5.32850i	0.305443	−	0.176347i
$914$	4.77635	+	20.9221i	0.157987	+	0.692040i
$915$	0.474274	+	0.273822i	0.0156790	+	0.00905228i
$916$	23.0498	+	15.7120i	0.761588	+	0.519138i
$917$	1.32627	+	0.316862i	0.0437972	+	0.0104637i
$918$	55.7321	+	17.1882i	1.83943	+	0.567297i
$919$	−21.5543	−	12.4444i	−0.711010	−	0.410502i	0.100425	−	0.994945i	$-0.467980\pi$
$919$	−21.5543	−	12.4444i	−0.711010	−	0.410502i	−0.811435	+	0.584443i	$0.801313\pi$
$920$	3.32349	+	1.30384i	0.109572	+	0.0429864i
$921$	11.6925	+	20.2519i	0.385280	+	0.667324i
$922$	29.8285	−	27.6794i	0.982350	−	0.911572i
$923$		−	81.1333i		−	2.67054i
$924$	−16.2908	+	50.9931i	−0.535929	+	1.67755i
$925$		−	0.575890i		−	0.0189351i
$926$	33.1269	+	35.6989i	1.08862	+	1.17314i
$927$	2.24799	+	3.89362i	0.0738335	+	0.127883i
$928$	−9.70628	−	14.2294i	−0.318624	−	0.467103i
$929$	35.0593	+	20.2415i	1.15026	+	0.664102i	0.948950	−	0.315426i	$-0.102147\pi$
$929$	35.0593	+	20.2415i	1.15026	+	0.664102i	0.201308	+	0.979528i	$0.435481\pi$
$930$	0.0861890	−	0.279464i	0.00282625	−	0.00916399i
$931$	−4.99222	+	0.272673i	−0.163614	+	0.00893648i
$932$	0.0918602	+	0.0626167i	0.00300898	+	0.00205108i
$933$	47.1700	+	27.2336i	1.54428	+	0.891589i
$934$	25.3706	−	5.79192i	0.830153	−	0.189518i
$935$	−10.9180	+	6.30352i	−0.357058	+	0.206147i
$936$	121.951	−	18.3985i	3.98609	−	0.601374i
$937$			33.0886i			1.08096i	0.841358	+	0.540478i	$0.181757\pi$
$937$			33.0886i			1.08096i	−0.841358	+	0.540478i	$0.818243\pi$
$938$	51.8513	+	0.522203i	1.69300	+	0.0170505i
$939$	−41.0959			−1.34111
$940$	−15.2582	+	7.34971i	−0.497668	+	0.239721i
$941$	−12.0677	−	20.9019i	−0.393396	−	0.681382i	0.599499	−	0.800375i	$-0.295367\pi$
$941$	−12.0677	−	20.9019i	−0.393396	−	0.681382i	−0.992895	+	0.118994i	$0.962033\pi$
$942$	98.2501	−	22.4298i	3.20116	−	0.730801i
$943$	0.145674	−	0.252314i	0.00474379	−	0.00821649i
$944$	−4.24084	+	1.66532i	−0.138028	+	0.0542015i
$945$	−27.6472	−	6.60527i	−0.899364	−	0.214870i
$946$	−44.6650	−	13.7751i	−1.45219	−	0.447866i
$947$	−18.7287	+	32.4390i	−0.608600	+	1.05413i	0.382871	+	0.923802i	$0.374935\pi$
$947$	−18.7287	+	32.4390i	−0.608600	+	1.05413i	−0.991471	+	0.130325i	$0.958398\pi$
$948$	5.13232	−	68.5716i	0.166690	−	2.22710i
$949$	26.1935	−	15.1228i	0.850276	−	0.490907i
$950$	0.687067	+	0.740413i	0.0222914	+	0.0240222i
$951$	3.69652			0.119868
$952$	28.6217	+	2.43232i	0.927636	+	0.0788318i
$953$	−13.4036			−0.434185			−0.217092	−	0.976151i	$-0.569657\pi$
$953$	−13.4036			−0.434185			−0.217092	+	0.976151i	$0.569657\pi$
$954$	15.6323	+	16.8460i	0.506113	+	0.545409i
$955$	−7.26161	+	4.19249i	−0.234980	+	0.135666i
$956$	−15.7727	−	1.18052i	−0.510125	−	0.0381809i
$957$	−15.4021	+	26.6772i	−0.497879	+	0.862352i
$958$	32.3675	+	9.98240i	1.04575	+	0.322517i
$959$	−16.2202	−	15.3584i	−0.523777	−	0.495949i
$960$	−24.0257	−	5.47667i	−0.775426	−	0.176759i
$961$	15.4977	−	26.8429i	0.499927	−	0.865899i
$962$	−5.33632	+	1.21824i	−0.172050	+	0.0392777i
$963$	−16.6042	−	28.7594i	−0.535064	−	0.926757i
$964$	11.6476	+	24.1807i	0.375143	+	0.778807i
$965$	8.64877			0.278414
$966$	−7.40021	+	12.5245i	−0.238098	+	0.402970i
$967$		−	16.1690i		−	0.519959i	−0.965614	−	0.259980i	$-0.916284\pi$
$967$		−	16.1690i		−	0.519959i	0.965614	−	0.259980i	$-0.0837158\pi$
$968$	−0.595906	+	0.0899033i	−0.0191532	+	0.00288960i
$969$	7.31348	−	4.22244i	0.234943	−	0.135644i
$970$	7.94920	−	1.81474i	0.255233	−	0.0582679i
$971$	11.2868	+	6.51641i	0.362209	+	0.209122i	0.670049	−	0.742316i	$-0.266273\pi$
$971$	11.2868	+	6.51641i	0.362209	+	0.209122i	−0.307840	+	0.951438i	$0.599606\pi$
$972$	10.9848	−	16.1150i	0.352339	−	0.516889i
$973$	14.4086	+	48.4465i	0.461920	+	1.55312i
$974$	10.3665	−	33.6131i	0.332166	−	1.07703i
$975$	−17.9282	−	10.3508i	−0.574162	−	0.331492i
$976$	−0.443303	+	0.556096i	−0.0141898	+	0.0178002i
$977$	5.75357	+	9.96548i	0.184073	+	0.318824i	0.943264	−	0.332044i	$-0.107738\pi$
$977$	5.75357	+	9.96548i	0.184073	+	0.318824i	−0.759191	+	0.650868i	$0.774405\pi$
$978$	−2.46179	−	2.65294i	−0.0787195	−	0.0848316i
$979$			50.4956i			1.61385i
$980$	−13.9972	−	0.281964i	−0.447123	−	0.00900702i
$981$		−	79.5030i		−	2.53834i
$982$	−14.8184	+	13.7507i	−0.472873	+	0.438803i
$983$	6.41950	+	11.1189i	0.204750	+	0.354638i	0.950053	−	0.312088i	$-0.101028\pi$
$983$	6.41950	+	11.1189i	0.204750	+	0.354638i	−0.745303	+	0.666726i	$0.767695\pi$
$984$	−0.734432	+	1.87207i	−0.0234128	+	0.0596794i
$985$	8.40323	+	4.85161i	0.267749	+	0.154585i
$986$	15.7952	+	4.87136i	0.503020	+	0.155136i
$987$	−19.6731	−	66.1474i	−0.626202	−	2.10550i
$988$	5.40740	−	7.93278i	0.172032	−	0.252375i
$989$	−11.0002	−	6.35096i	−0.349785	−	0.201949i
$990$	6.70704	+	29.3792i	0.213164	+	0.933731i
$991$	21.2549	−	12.2715i	0.675183	−	0.389817i	−0.122854	−	0.992425i	$-0.539205\pi$
$991$	21.2549	−	12.2715i	0.675183	−	0.389817i	0.798038	+	0.602607i	$0.205871\pi$
$992$	0.342206	+	0.164700i	0.0108651	+	0.00522923i
$993$		−	18.5623i		−	0.589058i
$994$	−38.8884	−	22.9775i	−1.23346	−	0.728801i
$995$	0.378846			0.0120102
$996$	−18.0091	+	8.67479i	−0.570640	+	0.274871i
$997$	−20.2325	−	35.0437i	−0.640769	−	1.10984i	−0.985262	−	0.171055i	$-0.945282\pi$
$997$	−20.2325	−	35.0437i	−0.640769	−	1.10984i	0.344493	−	0.938789i	$-0.388051\pi$
$998$	−0.156588	−	0.685909i	−0.00495670	−	0.0217121i
$999$	−3.09361	+	5.35829i	−0.0978775	+	0.169529i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	280.2.bj.e.131.10	✓	24
4.3	odd	2		1120.2.bz.f.271.12		24
7.3	odd	6		280.2.bj.f.171.6	yes	24
8.3	odd	2		280.2.bj.f.131.6	yes	24
8.5	even	2		1120.2.bz.e.271.12		24
28.3	even	6		1120.2.bz.e.591.12		24
56.3	even	6	inner	280.2.bj.e.171.10	yes	24
56.45	odd	6		1120.2.bz.f.591.12		24

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
280.2.bj.e.131.10	✓	24	1.1	even	1	trivial
280.2.bj.e.171.10	yes	24	56.3	even	6	inner
280.2.bj.f.131.6	yes	24	8.3	odd	2
280.2.bj.f.171.6	yes	24	7.3	odd	6
1120.2.bz.e.271.12		24	8.5	even	2
1120.2.bz.e.591.12		24	28.3	even	6
1120.2.bz.f.271.12		24	4.3	odd	2
1120.2.bz.f.591.12		24	56.45	odd	6

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 280 = 2^{3} \cdot 5 \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	280.bj (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(1.03665 - 0.961958i) q^{2} +(-2.66758 + 1.54013i) q^{3} +(0.149275 - 1.99442i) q^{4} +(0.500000 - 0.866025i) q^{5} +(-1.28380 + 4.16266i) q^{6} +(-2.53597 + 0.754231i) q^{7} +(-1.76380 - 2.21111i) q^{8} +(3.24397 - 5.61873i) q^{9} +O(q^{10})\)	\(q+(1.03665 - 0.961958i) q^{2} +(-2.66758 + 1.54013i) q^{3} +(0.149275 - 1.99442i) q^{4} +(0.500000 - 0.866025i) q^{5} +(-1.28380 + 4.16266i) q^{6} +(-2.53597 + 0.754231i) q^{7} +(-1.76380 - 2.21111i) q^{8} +(3.24397 - 5.61873i) q^{9} +(-0.314756 - 1.37874i) q^{10} +(-1.64217 - 2.84433i) q^{11} +(2.67346 + 5.55017i) q^{12} -6.72078 q^{13} +(-1.90337 + 3.22137i) q^{14} +3.08025i q^{15} +(-3.95543 - 0.595434i) q^{16} +(3.32426 - 1.91926i) q^{17} +(-2.04212 - 8.94520i) q^{18} +(-0.618548 - 0.357119i) q^{19} +(-1.65258 - 1.12649i) q^{20} +(5.60328 - 5.91768i) q^{21} +(-4.43848 - 1.36886i) q^{22} +(-1.09312 - 0.631110i) q^{23} +(8.11046 + 3.18182i) q^{24} +(-0.500000 - 0.866025i) q^{25} +(-6.96708 + 6.46511i) q^{26} +10.7438i q^{27} +(1.12570 + 5.17038i) q^{28} +3.04491i q^{29} +(2.96307 + 3.19313i) q^{30} +(-0.0335679 - 0.0581414i) q^{31} +(-4.67317 + 3.18770i) q^{32} +(8.76124 + 5.05831i) q^{33} +(1.59984 - 5.18740i) q^{34} +(-0.614801 + 2.57333i) q^{35} +(-10.7219 - 7.30859i) q^{36} +(0.498735 + 0.287945i) q^{37} +(-0.984749 + 0.224811i) q^{38} +(17.9282 - 10.3508i) q^{39} +(-2.79678 + 0.421945i) q^{40} +0.230821i q^{41} +(0.116067 - 11.5247i) q^{42} +10.0631 q^{43} +(-5.91792 + 2.85060i) q^{44} +(-3.24397 - 5.61873i) q^{45} +(-1.74028 + 0.397292i) q^{46} +(4.23402 - 7.33354i) q^{47} +(11.4685 - 4.50350i) q^{48} +(5.86227 - 3.82541i) q^{49} +(-1.35140 - 0.416784i) q^{50} +(-5.91181 + 10.2396i) q^{51} +(-1.00324 + 13.4041i) q^{52} +(-2.16915 + 1.25236i) q^{53} +(10.3350 + 11.1375i) q^{54} -3.28435 q^{55} +(6.14064 + 4.27698i) q^{56} +2.20003 q^{57} +(2.92908 + 3.15650i) q^{58} +(0.986424 - 0.569512i) q^{59} +(6.14332 + 0.459804i) q^{60} +(0.0888960 - 0.153972i) q^{61} +(-0.0907277 - 0.0279812i) q^{62} +(-3.98880 + 16.6956i) q^{63} +(-1.77799 + 7.79992i) q^{64} +(-3.36039 + 5.82037i) q^{65} +(13.9482 - 3.18427i) q^{66} +(-6.92927 - 12.0019i) q^{67} +(-3.33159 - 6.91647i) q^{68} +3.88796 q^{69} +(1.83810 + 3.25905i) q^{70} +12.0720i q^{71} +(-18.1453 + 2.73756i) q^{72} +(-3.89739 + 2.25016i) q^{73} +(0.794003 - 0.181265i) q^{74} +(2.66758 + 1.54013i) q^{75} +(-0.804579 + 1.18034i) q^{76} +(6.30978 + 5.97455i) q^{77} +(8.62814 - 27.9763i) q^{78} +(-9.66655 - 5.58099i) q^{79} +(-2.49338 + 3.12779i) q^{80} +(-6.81481 - 11.8036i) q^{81} +(0.222040 + 0.239280i) q^{82} +3.24478i q^{83} +(-10.9659 - 12.0587i) q^{84} -3.83853i q^{85} +(10.4319 - 9.68032i) q^{86} +(-4.68955 - 8.12253i) q^{87} +(-3.39264 + 8.64786i) q^{88} +(-13.3148 - 7.68732i) q^{89} +(-8.76784 - 2.70407i) q^{90} +(17.0437 - 5.06902i) q^{91} +(-1.42187 + 2.08592i) q^{92} +(0.179090 + 0.103398i) q^{93} +(-2.66537 - 11.6752i) q^{94} +(-0.618548 + 0.357119i) q^{95} +(7.55658 - 15.7007i) q^{96} +5.76555i q^{97} +(2.39722 - 9.60486i) q^{98} -21.3087 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 24 q - 3 q^{2} + 12 q^{3} + q^{4} + 12 q^{5} + 2 q^{6} - 10 q^{7} - 6 q^{8} + 12 q^{9}+O(q^{10}) \) 24 * q - 3 * q^2 + 12 * q^3 + q^4 + 12 * q^5 + 2 * q^6 - 10 * q^7 - 6 * q^8 + 12 * q^9	\( 24 q - 3 q^{2} + 12 q^{3} + q^{4} + 12 q^{5} + 2 q^{6} - 10 q^{7} - 6 q^{8} + 12 q^{9} - 3 q^{10} + 8 q^{11} + 8 q^{12} - 20 q^{13} - 15 q^{14} - 3 q^{16} + 6 q^{17} - 27 q^{18} + 18 q^{19} + 2 q^{20} + 26 q^{21} - 16 q^{22} - 18 q^{23} + 6 q^{24} - 12 q^{25} - 29 q^{26} + 3 q^{28} + 10 q^{30} + 6 q^{31} - 33 q^{32} + 12 q^{33} + 20 q^{34} - 8 q^{35} - 22 q^{36} + 9 q^{38} + 18 q^{39} - 3 q^{40} - 12 q^{42} + 32 q^{43} - 25 q^{44} - 12 q^{45} + 53 q^{46} + 14 q^{48} + 8 q^{49} - 22 q^{51} - 31 q^{52} - 30 q^{53} + 10 q^{54} + 16 q^{55} + 16 q^{56} - 44 q^{57} + 30 q^{58} - 18 q^{59} + 10 q^{60} - 22 q^{61} - 8 q^{62} + 12 q^{63} + 58 q^{64} - 10 q^{65} - 8 q^{66} - 8 q^{67} - 6 q^{68} + 12 q^{69} + 3 q^{70} - 23 q^{72} + 30 q^{73} - 43 q^{74} - 12 q^{75} - 8 q^{76} + 32 q^{77} - 8 q^{78} - 6 q^{79} + 3 q^{80} - 4 q^{81} - 27 q^{82} - 16 q^{84} - 36 q^{86} - 14 q^{87} + 49 q^{88} - 60 q^{89} - 24 q^{90} + 18 q^{91} - 38 q^{92} + 18 q^{93} + 11 q^{94} + 18 q^{95} + 2 q^{96} - 19 q^{98} - 56 q^{99}+O(q^{100}) \) 24 * q - 3 * q^2 + 12 * q^3 + q^4 + 12 * q^5 + 2 * q^6 - 10 * q^7 - 6 * q^8 + 12 * q^9 - 3 * q^10 + 8 * q^11 + 8 * q^12 - 20 * q^13 - 15 * q^14 - 3 * q^16 + 6 * q^17 - 27 * q^18 + 18 * q^19 + 2 * q^20 + 26 * q^21 - 16 * q^22 - 18 * q^23 + 6 * q^24 - 12 * q^25 - 29 * q^26 + 3 * q^28 + 10 * q^30 + 6 * q^31 - 33 * q^32 + 12 * q^33 + 20 * q^34 - 8 * q^35 - 22 * q^36 + 9 * q^38 + 18 * q^39 - 3 * q^40 - 12 * q^42 + 32 * q^43 - 25 * q^44 - 12 * q^45 + 53 * q^46 + 14 * q^48 + 8 * q^49 - 22 * q^51 - 31 * q^52 - 30 * q^53 + 10 * q^54 + 16 * q^55 + 16 * q^56 - 44 * q^57 + 30 * q^58 - 18 * q^59 + 10 * q^60 - 22 * q^61 - 8 * q^62 + 12 * q^63 + 58 * q^64 - 10 * q^65 - 8 * q^66 - 8 * q^67 - 6 * q^68 + 12 * q^69 + 3 * q^70 - 23 * q^72 + 30 * q^73 - 43 * q^74 - 12 * q^75 - 8 * q^76 + 32 * q^77 - 8 * q^78 - 6 * q^79 + 3 * q^80 - 4 * q^81 - 27 * q^82 - 16 * q^84 - 36 * q^86 - 14 * q^87 + 49 * q^88 - 60 * q^89 - 24 * q^90 + 18 * q^91 - 38 * q^92 + 18 * q^93 + 11 * q^94 + 18 * q^95 + 2 * q^96 - 19 * q^98 - 56 * q^99

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