LMFDB - Embedded newform 280.2.bj.f.171.6

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			171.6
Character	$\chi$	$=$	280.171
Dual form			280.2.bj.f.131.6

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.314756 + 1.37874i) q^{2} +(-2.66758 - 1.54013i) q^{3} +(-1.80186 + 0.867935i) q^{4} +(-0.500000 - 0.866025i) q^{5} +(1.28380 - 4.16266i) q^{6} +(2.53597 + 0.754231i) q^{7} +(-1.76380 - 2.21111i) q^{8} +(3.24397 + 5.61873i) q^{9} +O(q^{10})$	\(q+(0.314756 + 1.37874i) q^{2} +(-2.66758 - 1.54013i) q^{3} +(-1.80186 + 0.867935i) 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} +(1.03665 - 0.961958i) q^{10} +(-1.64217 + 2.84433i) q^{11} +(6.14332 + 0.459804i) q^{12} +6.72078 q^{13} +(-0.241678 + 3.73384i) q^{14} +3.08025i q^{15} +(2.49338 - 3.12779i) q^{16} +(3.32426 + 1.91926i) q^{17} +(-6.72571 + 6.24113i) 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} +(1.29970 + 8.61478i) q^{24} +(-0.500000 + 0.866025i) q^{25} +(2.11541 + 9.26622i) q^{26} -10.7438i q^{27} +(-5.22408 + 0.842039i) q^{28} +3.04491i q^{29} +(-4.24687 + 0.969528i) q^{30} +(0.0335679 - 0.0581414i) q^{31} +(5.09722 + 2.45323i) 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} +(-0.687067 - 0.740413i) q^{38} +(-17.9282 - 10.3508i) q^{39} +(-1.03297 + 2.63305i) q^{40} -0.230821i q^{41} +(6.39528 - 9.58810i) q^{42} +10.0631 q^{43} +(0.490271 - 6.55037i) q^{44} +(3.24397 - 5.61873i) q^{45} +(1.21420 + 1.30848i) 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} +(-12.1099 + 5.83320i) q^{52} +(2.16915 + 1.25236i) q^{53} +(14.8129 - 3.38166i) q^{54} +3.28435 q^{55} +(-2.80526 - 6.93761i) q^{56} +2.20003 q^{57} +(-4.19815 + 0.958404i) q^{58} +(0.986424 + 0.569512i) q^{59} +(-2.67346 - 5.55017i) 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} +(9.73175 + 10.4874i) q^{66} +(-6.92927 + 12.0019i) q^{67} +(-7.65564 - 0.572996i) q^{68} -3.88796 q^{69} +(3.35444 - 1.65762i) q^{70} +12.0720i q^{71} +(6.70188 - 17.0831i) q^{72} +(-3.89739 - 2.25016i) q^{73} +(-0.553982 - 0.596995i) 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} +(-3.95543 - 0.595434i) q^{80} +(-6.81481 + 11.8036i) q^{81} +(0.318243 - 0.0726525i) q^{82} -3.24478i q^{83} +(15.2325 + 5.79953i) q^{84} -3.83853i q^{85} +(3.16744 + 13.8745i) q^{86} +(4.68955 - 8.12253i) q^{87} +(9.18558 - 1.38581i) 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} +(8.77837 - 8.14590i) q^{94} +(0.618548 + 0.357119i) q^{95} +(-9.81893 - 14.3945i) q^{96} -5.76555i q^{97} +(-3.42907 + 9.28663i) 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} + 10 q^{12} + 20 q^{13} + 5 q^{14} - 3 q^{16} + 6 q^{17} + 3 q^{18} + 18 q^{19} - 2 q^{20} - 26 q^{21} - 16 q^{22} + 18 q^{23} - 18 q^{24} - 12 q^{25} - 37 q^{26} - 41 q^{28} - 8 q^{30} - 6 q^{31} + 3 q^{32} + 12 q^{33} - 20 q^{34} - 8 q^{35} - 22 q^{36} + 15 q^{38} - 18 q^{39} + 3 q^{40} - 12 q^{42} + 32 q^{43} + 35 q^{44} + 12 q^{45} - 49 q^{46} - 14 q^{48} + 8 q^{49} - 22 q^{51} - 41 q^{52} + 30 q^{53} + 104 q^{54} - 16 q^{55} + 44 q^{56} - 44 q^{57} - 54 q^{58} - 18 q^{59} - 8 q^{60} + 22 q^{61} + 8 q^{62} - 12 q^{63} + 58 q^{64} - 10 q^{65} + 8 q^{66} - 8 q^{67} + 18 q^{68} - 12 q^{69} - q^{70} - 17 q^{72} + 30 q^{73} + 53 q^{74} - 12 q^{75} + 8 q^{76} - 32 q^{77} - 8 q^{78} + 6 q^{79} - 3 q^{80} - 4 q^{81} - 57 q^{82} + 42 q^{86} + 14 q^{87} - 17 q^{88} - 60 q^{89} + 24 q^{90} + 18 q^{91} - 38 q^{92} - 18 q^{93} + 19 q^{94} - 18 q^{95} - 74 q^{96} + 3 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 + 10 * q^12 + 20 * q^13 + 5 * q^14 - 3 * q^16 + 6 * q^17 + 3 * q^18 + 18 * q^19 - 2 * q^20 - 26 * q^21 - 16 * q^22 + 18 * q^23 - 18 * q^24 - 12 * q^25 - 37 * q^26 - 41 * q^28 - 8 * q^30 - 6 * q^31 + 3 * q^32 + 12 * q^33 - 20 * q^34 - 8 * q^35 - 22 * q^36 + 15 * q^38 - 18 * q^39 + 3 * q^40 - 12 * q^42 + 32 * q^43 + 35 * q^44 + 12 * q^45 - 49 * q^46 - 14 * q^48 + 8 * q^49 - 22 * q^51 - 41 * q^52 + 30 * q^53 + 104 * q^54 - 16 * q^55 + 44 * q^56 - 44 * q^57 - 54 * q^58 - 18 * q^59 - 8 * q^60 + 22 * q^61 + 8 * q^62 - 12 * q^63 + 58 * q^64 - 10 * q^65 + 8 * q^66 - 8 * q^67 + 18 * q^68 - 12 * q^69 - q^70 - 17 * q^72 + 30 * q^73 + 53 * q^74 - 12 * q^75 + 8 * q^76 - 32 * q^77 - 8 * q^78 + 6 * q^79 - 3 * q^80 - 4 * q^81 - 57 * q^82 + 42 * q^86 + 14 * q^87 - 17 * q^88 - 60 * q^89 + 24 * q^90 + 18 * q^91 - 38 * q^92 - 18 * q^93 + 19 * q^94 - 18 * q^95 - 74 * q^96 + 3 * q^98 - 56 * q^99

Display 100 coefficients 10 coefficients

Character values

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

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

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 $

$2$	0.314756	+	1.37874i	0.222566	+	0.974918i
$2$	0.314756	+	1.37874i	0.222566	+	0.974918i
$3$	−2.66758	−	1.54013i	−1.54013	−	0.889192i	−0.998830	−	0.0483596i	$-0.984601\pi$
$3$	−2.66758	−	1.54013i	−1.54013	−	0.889192i	−0.541296	−	0.840832i	$-0.682066\pi$
$4$	−1.80186	+	0.867935i	−0.900929	+	0.433967i
$5$	−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
$10$	1.03665	−	0.961958i	0.327817	−	0.304198i
$11$	−1.64217	+	2.84433i	−0.495134	+	0.857597i	−0.999984	−	0.00560987i	$-0.998214\pi$
$11$	−1.64217	+	2.84433i	−0.495134	+	0.857597i	0.504850	+	0.863207i	$0.331548\pi$
$12$	6.14332	+	0.459804i	1.77342	+	0.132734i
$13$	6.72078			1.86401			0.932005	−	0.362446i	$-0.118058\pi$
$13$	6.72078			1.86401			0.932005	+	0.362446i	$0.118058\pi$
$14$	−0.241678	+	3.73384i	−0.0645911	+	0.997912i
$15$			3.08025i			0.795317i
$16$	2.49338	−	3.12779i	0.623345	−	0.781947i
$17$	3.32426	+	1.91926i	0.806252	+	0.465490i	0.845652	−	0.533734i	$-0.179212\pi$
$17$	3.32426	+	1.91926i	0.806252	+	0.465490i	−0.0394009	+	0.999223i	$0.512545\pi$
$18$	−6.72571	+	6.24113i	−1.58527	+	1.47105i
$19$	−0.618548	+	0.357119i	−0.141905	+	0.0819287i	−0.569271	−	0.822150i	$-0.692775\pi$
$19$	−0.618548	+	0.357119i	−0.141905	+	0.0819287i	0.427367	+	0.904078i	$0.359441\pi$
$20$	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	$-0.624657\pi$
$23$	1.09312	−	0.631110i	0.227930	−	0.131596i	0.609617	+	0.792696i	$0.291323\pi$
$24$	1.29970	+	8.61478i	0.265299	+	1.75848i
$25$	−0.500000	+	0.866025i	−0.100000	+	0.173205i
$26$	2.11541	+	9.26622i	0.414866	+	1.81726i
$27$		−	10.7438i		−	2.06764i
$28$	−5.22408	+	0.842039i	−0.987258	+	0.159130i
$29$			3.04491i			0.565426i	0.959205	+	0.282713i	$0.0912344\pi$
$29$			3.04491i			0.565426i	−0.959205	+	0.282713i	$0.908766\pi$
$30$	−4.24687	+	0.969528i	−0.775369	+	0.177011i
$31$	0.0335679	−	0.0581414i	0.00602898	−	0.0104425i	−0.862995	−	0.505212i	$-0.831414\pi$
$31$	0.0335679	−	0.0581414i	0.00602898	−	0.0104425i	0.869024	+	0.494770i	$0.164748\pi$
$32$	5.09722	+	2.45323i	0.901070	+	0.433674i
$33$	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	$-0.681740\pi$
$37$	−0.498735	+	0.287945i	−0.0819916	+	0.0473379i	0.458444	+	0.888723i	$0.348407\pi$
$38$	−0.687067	−	0.740413i	−0.111457	−	0.120111i
$39$	−17.9282	−	10.3508i	−2.87081	−	1.65746i
$40$	−1.03297	+	2.63305i	−0.163327	+	0.416322i
$41$		−	0.230821i		−	0.0360483i	−0.999838	−	0.0180241i	$-0.994262\pi$
$41$		−	0.230821i		−	0.0360483i	0.999838	−	0.0180241i	$-0.00573757\pi$
$42$	6.39528	−	9.58810i	0.986814	−	1.47948i
$43$	10.0631			1.53462			0.767308	−	0.641279i	$-0.221596\pi$
$43$	10.0631			1.53462			0.767308	+	0.641279i	$0.221596\pi$
$44$	0.490271	−	6.55037i	0.0739111	−	0.987506i
$45$	3.24397	−	5.61873i	0.483583	−	0.837591i
$46$	1.21420	+	1.30848i	0.179024	+	0.192925i
$47$	−4.23402	−	7.33354i	−0.617595	−	1.06971i	−0.989923	−	0.141605i	$-0.954774\pi$
$47$	−4.23402	−	7.33354i	−0.617595	−	1.06971i	0.372328	−	0.928101i	$-0.378560\pi$
$48$	−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
$52$	−12.1099	+	5.83320i	−1.67934	+	0.808919i
$53$	2.16915	+	1.25236i	0.297955	+	0.172024i	0.641524	−	0.767103i	$-0.278303\pi$
$53$	2.16915	+	1.25236i	0.297955	+	0.172024i	−0.343569	+	0.939128i	$0.611636\pi$
$54$	14.8129	−	3.38166i	2.01578	−	0.460186i
$55$	3.28435			0.442861
$56$	−2.80526	−	6.93761i	−0.374869	−	0.927078i
$57$	2.20003			0.291401
$58$	−4.19815	+	0.958404i	−0.551243	+	0.125845i
$59$	0.986424	+	0.569512i	0.128422	+	0.0741442i	0.562835	−	0.826570i	$-0.309711\pi$
$59$	0.986424	+	0.569512i	0.128422	+	0.0741442i	−0.434413	+	0.900714i	$0.643044\pi$
$60$	−2.67346	−	5.55017i	−0.345142	−	0.716524i
$61$	−0.0888960	−	0.153972i	−0.0113820	−	0.0197141i	0.860278	−	0.509825i	$-0.170290\pi$
$61$	−0.0888960	−	0.153972i	−0.0113820	−	0.0197141i	−0.871660	+	0.490111i	$0.836956\pi$
$62$	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
$66$	9.73175	+	10.4874i	1.19790	+	1.29090i
$67$	−6.92927	+	12.0019i	−0.846545	+	1.46626i	0.0377270	+	0.999288i	$0.487988\pi$
$67$	−6.92927	+	12.0019i	−0.846545	+	1.46626i	−0.884272	+	0.466971i	$0.845345\pi$
$68$	−7.65564	−	0.572996i	−0.928382	−	0.0694859i
$69$	−3.88796			−0.468055
$70$	3.35444	−	1.65762i	0.400933	−	0.198124i
$71$			12.0720i			1.43268i	0.697749	+	0.716342i	$0.254185\pi$
$71$			12.0720i			1.43268i	−0.697749	+	0.716342i	$0.745815\pi$
$72$	6.70188	−	17.0831i	0.789824	−	2.01326i
$73$	−3.89739	−	2.25016i	−0.456155	−	0.263361i	0.254271	−	0.967133i	$-0.418164\pi$
$73$	−3.89739	−	2.25016i	−0.456155	−	0.263361i	−0.710426	+	0.703772i	$0.751498\pi$
$74$	−0.553982	−	0.596995i	−0.0643991	−	0.0693992i
$75$	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	$-0.450577\pi$
$79$	9.66655	−	5.58099i	1.08757	−	0.627910i	0.932929	+	0.360061i	$0.117244\pi$
$80$	−3.95543	−	0.595434i	−0.442231	−	0.0665716i
$81$	−6.81481	+	11.8036i	−0.757202	+	1.31151i
$82$	0.318243	−	0.0726525i	0.0351441	−	0.00802312i
$83$		−	3.24478i		−	0.356161i	−0.984016	−	0.178081i	$-0.943011\pi$
$83$		−	3.24478i		−	0.356161i	0.984016	−	0.178081i	$-0.0569888\pi$
$84$	15.2325	+	5.79953i	1.66200	+	0.632781i
$85$		−	3.83853i		−	0.416347i
$86$	3.16744	+	13.8745i	0.341554	+	1.49612i
$87$	4.68955	−	8.12253i	0.502772	−	0.870827i
$88$	9.18558	−	1.38581i	0.979187	−	0.147728i
$89$	−13.3148	+	7.68732i	−1.41137	+	0.814854i	−0.995517	−	0.0945783i	$-0.969850\pi$
$89$	−13.3148	+	7.68732i	−1.41137	+	0.814854i	−0.415852	+	0.909433i	$0.636516\pi$
$90$	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
$94$	8.77837	−	8.14590i	0.905420	−	0.840185i
$95$	0.618548	+	0.357119i	0.0634617	+	0.0366396i
$96$	−9.81893	−	14.3945i	−1.00214	−	1.46914i
$97$		−	5.76555i		−	0.585403i	−0.956204	−	0.292701i	$-0.905446\pi$
$97$		−	5.76555i		−	0.585403i	0.956204	−	0.292701i	$-0.0945542\pi$
$98$	−3.42907	+	9.28663i	−0.346388	+	0.938091i
$99$	−21.3087			−2.14160
$100$	0.149275	−	1.99442i	0.0149275	−	0.199442i
$101$	5.65852	−	9.80085i	0.563044	−	0.975221i	−0.434185	−	0.900824i	$-0.642963\pi$
$101$	5.65852	−	9.80085i	0.563044	−	0.975221i	0.997229	−	0.0743970i	$-0.0237032\pi$
$102$	12.2569	−	11.3738i	1.21362	−	1.12618i
$103$	0.346486	+	0.600132i	0.0341403	+	0.0591327i	0.882591	−	0.470142i	$-0.155797\pi$
$103$	0.346486	+	0.600132i	0.0341403	+	0.0591327i	−0.848450	+	0.529275i	$0.822464\pi$
$104$	−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	0.962807	−	0.270191i	$-0.0870868\pi$
$107$	2.55924	+	4.43274i	0.247411	+	0.428529i	−0.715396	+	0.698720i	$0.753753\pi$
$108$	9.32488	+	19.3587i	0.897287	+	1.86279i
$109$	−10.6122	−	6.12698i	−1.01647	−	0.586858i	−0.103389	−	0.994641i	$-0.532969\pi$
$109$	−10.6122	−	6.12698i	−1.01647	−	0.586858i	−0.913079	+	0.407783i	$0.866302\pi$
$110$	1.03377	+	4.52827i	0.0985659	+	0.431753i
$111$	1.77389			0.168370
$112$	8.68220	−	6.05139i	0.820391	−	0.571803i
$113$	−6.58353			−0.619326			−0.309663	−	0.950846i	$-0.600216\pi$
$113$	−6.58353			−0.619326			−0.309663	+	0.950846i	$0.600216\pi$
$114$	0.692474	+	3.03328i	0.0648561	+	0.284092i
$115$	−1.09312	−	0.631110i	−0.101934	−	0.0588514i
$116$	−2.64278	−	5.48649i	−0.245376	−	0.509408i
$117$	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
$122$	0.184308	−	0.171028i	0.0166864	−	0.0154842i
$123$	−0.355494	+	0.615734i	−0.0320538	+	0.0555188i
$124$	−0.0100217	+	0.133897i	−0.000899975	+	0.0120243i
$125$	1.00000			0.0894427
$126$	−21.7635	+	10.7546i	−1.93884	+	0.958093i
$127$		−	16.4627i		−	1.46083i	−0.683004	−	0.730415i	$-0.739327\pi$
$127$		−	16.4627i		−	1.46083i	0.683004	−	0.730415i	$-0.260673\pi$
$128$	−11.3137	+	0.00367857i	−1.00000	+	0.000325143i
$129$	−26.8442	−	15.4985i	−2.36350	−	1.36457i
$130$	6.96708	−	6.46511i	0.611053	−	0.567027i
$131$	−0.446341	+	0.257695i	−0.0389970	+	0.0225149i	−0.519372	−	0.854548i	$-0.673834\pi$
$131$	−0.446341	+	0.257695i	−0.0389970	+	0.0225149i	0.480375	+	0.877063i	$0.340501\pi$
$132$	−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
$136$	−1.61965	−	10.7355i	−0.138884	−	0.920562i
$137$	4.22144	−	7.31175i	0.360662	−	0.624685i	−0.627408	−	0.778691i	$-0.715884\pi$
$137$	4.22144	−	7.31175i	0.360662	−	0.624685i	0.988070	+	0.154006i	$0.0492175\pi$
$138$	−1.22376	−	5.36049i	−0.104173	−	0.456315i
$139$			19.1037i			1.62036i	0.586182	+	0.810179i	$0.300630\pi$
$139$			19.1037i			1.62036i	−0.586182	+	0.810179i	$0.699370\pi$
$140$	3.34127	+	4.10316i	0.282388	+	0.346781i
$141$			26.0837i			2.19664i
$142$	−16.6442	+	3.79974i	−1.39675	+	0.318867i
$143$	−11.0367	+	19.1161i	−0.922934	+	1.59857i
$144$	25.6627	+	3.86315i	2.13855	+	0.321929i
$145$	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	$-0.752639\pi$
$149$	−5.64120	+	3.25695i	−0.462145	+	0.266820i	0.250801	+	0.968039i	$0.419306\pi$
$150$	2.96307	+	3.19313i	0.241934	+	0.260718i
$151$	6.19052	+	3.57410i	0.503777	+	0.290856i	0.730272	−	0.683156i	$-0.239393\pi$
$151$	6.19052	+	3.57410i	0.503777	+	0.290856i	−0.226495	+	0.974012i	$0.572727\pi$
$152$	1.88063	+	0.737789i	0.152539	+	0.0598426i
$153$			24.9042i			2.01338i
$154$	−10.2234	−	6.81903i	−0.823825	−	0.549493i
$155$	−0.0671359			−0.00539248
$156$	41.2879	+	3.09024i	3.30568	+	0.247418i
$157$	11.5674	−	20.0353i	0.923176	−	1.59899i	0.128706	−	0.991683i	$-0.458918\pi$
$157$	11.5674	−	20.0353i	0.923176	−	1.59899i	0.794469	−	0.607304i	$-0.207749\pi$
$158$	10.7373	+	11.5710i	0.854217	+	0.920541i
$159$	−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	0.849298	−	0.527914i	$-0.177026\pi$
$163$	−0.415413	−	0.719516i	−0.0325376	−	0.0563568i	−0.881836	+	0.471557i	$0.843692\pi$
$164$	0.200338	+	0.415907i	0.0156438	+	0.0324769i
$165$	−8.76124	−	5.05831i	−0.682062	−	0.393789i
$166$	4.47372	−	1.02132i	0.347228	−	0.0792695i
$167$	−3.59980			−0.278561			−0.139280	−	0.990253i	$-0.544479\pi$
$167$	−3.59980			−0.278561			−0.139280	+	0.990253i	$0.544479\pi$
$168$	−3.20154	+	22.8271i	−0.247004	+	1.76115i
$169$	32.1689			2.47453
$170$	5.29233	−	1.20820i	0.405904	−	0.0926647i
$171$	−4.01311	−	2.31697i	−0.306890	−	0.177183i
$172$	−18.1324	+	8.73416i	−1.38258	+	0.665973i
$173$	−5.28828	−	9.15958i	−0.402061	−	0.696390i	0.591914	−	0.806001i	$-0.298373\pi$
$173$	−5.28828	−	9.15958i	−0.402061	−	0.696390i	−0.993974	+	0.109612i	$0.965039\pi$
$174$	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
$178$	−14.7898	−	15.9381i	−1.10854	−	1.19461i
$179$	9.34059	−	16.1784i	0.698149	−	1.20923i	−0.270959	−	0.962591i	$-0.587341\pi$
$179$	9.34059	−	16.1784i	0.698149	−	1.20923i	0.969108	−	0.246638i	$-0.0793260\pi$
$180$	−0.968488	+	12.9397i	−0.0721868	+	0.964469i
$181$	−17.3231			−1.28761			−0.643807	−	0.765188i	$-0.722646\pi$
$181$	−17.3231			−1.28761			−0.643807	+	0.765188i	$0.722646\pi$
$182$	−1.62426	+	25.0943i	−0.120398	+	1.86012i
$183$			0.547644i			0.0404830i
$184$	−3.32349	−	1.30384i	−0.245011	−	0.0961204i
$185$	0.498735	+	0.287945i	0.0366677	+	0.0211701i
$186$	−0.198928	−	0.214374i	−0.0145861	−	0.0157187i
$187$	−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	$-0.568559\pi$
$191$	7.26161	−	4.19249i	0.525432	−	0.303358i	0.739154	+	0.673536i	$0.235225\pi$
$192$	16.7558	−	18.0685i	1.20924	−	1.30398i
$193$	4.32438	−	7.49005i	0.311276	−	0.539146i	−0.667363	−	0.744733i	$-0.732577\pi$
$193$	4.32438	−	7.49005i	0.311276	−	0.539146i	0.978639	+	0.205587i	$0.0659103\pi$
$194$	7.94920	−	1.81474i	0.570719	−	0.130291i
$195$			20.7017i			1.48248i
$196$	−13.8832	−	1.80477i	−0.991656	−	0.128912i
$197$			9.70322i			0.691326i	0.938359	+	0.345663i	$0.112346\pi$
$197$			9.70322i			0.691326i	−0.938359	+	0.345663i	$0.887654\pi$
$198$	−6.70704	−	29.3792i	−0.476648	−	2.08789i
$199$	−0.189423	+	0.328090i	−0.0134278	+	0.0232577i	−0.872661	−	0.488326i	$-0.837608\pi$
$199$	−0.189423	+	0.328090i	−0.0134278	+	0.0232577i	0.859233	+	0.511584i	$0.170941\pi$
$200$	2.79678	−	0.421945i	0.197762	−	0.0298360i
$201$	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
$206$	−0.718368	+	0.666610i	−0.0500511	+	0.0464449i
$207$	7.09208	+	4.09461i	0.492933	+	0.284595i
$208$	16.7574	−	21.0212i	1.16192	−	1.45756i
$209$		−	2.34580i		−	0.162263i
$210$	−11.5012	−	0.744428i	−0.793657	−	0.0513704i
$211$	1.17567			0.0809367			0.0404684	−	0.999181i	$-0.487115\pi$
$211$	1.17567			0.0809367			0.0404684	+	0.999181i	$0.487115\pi$
$212$	−4.99546	−	0.373891i	−0.343089	−	0.0256789i
$213$	18.5924	−	32.2030i	1.27393	−	2.20651i
$214$	−5.30606	+	4.92376i	−0.362715	+	0.336582i
$215$	−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
$220$	−5.91792	+	2.85060i	−0.398986	+	0.192187i
$221$	22.3416	+	12.8989i	1.50286	+	0.867677i
$222$	0.558341	+	2.44573i	0.0374734	+	0.164147i
$223$	7.97945			0.534343			0.267172	−	0.963649i	$-0.413911\pi$
$223$	7.97945			0.534343			0.267172	+	0.963649i	$0.413911\pi$
$224$	11.0761	+	10.0658i	0.740052	+	0.672550i
$225$	−6.48795			−0.432530
$226$	−2.07221	−	9.07698i	−0.137841	−	0.603792i
$227$	−5.41980	−	3.12912i	−0.359725	−	0.207687i	0.309235	−	0.950986i	$-0.399927\pi$
$227$	−5.41980	−	3.12912i	−0.359725	−	0.207687i	−0.668960	+	0.743298i	$0.733260\pi$
$228$	−3.96414	+	1.90948i	−0.262532	+	0.126459i
$229$	6.97388	+	12.0791i	0.460847	+	0.798211i	0.999003	−	0.0446343i	$-0.0142123\pi$
$229$	6.97388	+	12.0791i	0.460847	+	0.798211i	−0.538156	+	0.842845i	$0.680879\pi$
$230$	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	0.865114	−	0.501576i	$-0.167246\pi$
$233$	−0.0277929	−	0.0481388i	−0.00182077	−	0.00315367i	−0.866934	+	0.498422i	$0.833913\pi$
$234$	−45.2020	+	41.9453i	−2.95495	+	2.74205i
$235$	−4.23402	+	7.33354i	−0.276197	+	0.478387i
$236$	−2.27170	−	0.170028i	−0.147875	−	0.0110679i
$237$	−34.3817			−2.23333
$238$	−7.96963	+	11.9484i	−0.516594	+	0.774501i
$239$		−	7.90839i		−	0.511552i	−0.966736	−	0.255776i	$-0.917669\pi$
$239$		−	7.90839i		−	0.511552i	0.966736	−	0.255776i	$-0.0823309\pi$
$240$	9.63438	+	7.68023i	0.621896	+	0.495757i
$241$	−11.6219	−	6.70993i	−0.748635	−	0.432225i	0.0765652	−	0.997065i	$-0.475605\pi$
$241$	−11.6219	−	6.70993i	−0.748635	−	0.432225i	−0.825201	+	0.564840i	$0.808938\pi$
$242$	−0.220877	+	0.204963i	−0.0141985	+	0.0131755i
$243$	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
$248$	−0.187764	+	0.0283276i	−0.0119230	+	0.00179881i
$249$	−4.99737	+	8.65570i	−0.316696	+	0.548533i
$250$	0.314756	+	1.37874i	0.0199069	+	0.0871993i
$251$		−	18.3987i		−	1.16132i	−0.814148	−	0.580658i	$-0.802795\pi$
$251$		−	18.3987i		−	1.16132i	0.814148	−	0.580658i	$-0.197205\pi$
$252$	−21.6780	−	26.6211i	−1.36558	−	1.67697i
$253$			4.14557i			0.260630i
$254$	22.6978	−	5.18174i	1.42419	−	0.325131i
$255$	−5.91181	+	10.2396i	−0.370212	+	0.641226i
$256$	−3.56613	−	15.5975i	−0.222883	−	0.974845i
$257$	−25.9092	+	14.9587i	−1.61617	+	0.933096i	−0.628271	+	0.777995i	$0.716237\pi$
$257$	−25.9092	+	14.9587i	−1.61617	+	0.933096i	−0.987899	+	0.155101i	$0.950430\pi$
$258$	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
$262$	−0.495783	−	0.534278i	−0.0306296	−	0.0330078i
$263$	−17.3117	−	9.99491i	−1.06748	−	0.616313i	−0.139992	−	0.990153i	$-0.544708\pi$
$263$	−17.3117	−	9.99491i	−1.06748	−	0.616313i	−0.927493	+	0.373840i	$0.878041\pi$
$264$	−26.6376	−	10.4502i	−1.63943	−	0.643165i
$265$		−	2.50471i		−	0.153863i
$266$	−1.18394	−	2.39587i	−0.0725918	−	0.146900i
$267$	47.3578			2.89825
$268$	2.06873	−	27.6398i	0.126368	−	1.68837i
$269$	−11.9143	+	20.6361i	−0.726426	+	1.25821i	0.231958	+	0.972726i	$0.425487\pi$
$269$	−11.9143	+	20.6361i	−0.726426	+	1.25821i	−0.958384	+	0.285481i	$0.907847\pi$
$270$	−10.3350	−	11.1375i	−0.628970	−	0.677806i
$271$	−9.94307	−	17.2219i	−0.603999	−	1.04616i	−0.992209	−	0.124585i	$-0.960240\pi$
$271$	−9.94307	−	17.2219i	−0.603999	−	1.04616i	0.388210	−	0.921571i	$-0.373093\pi$
$272$	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
$276$	7.00554	−	3.37449i	0.421684	−	0.203121i
$277$	−17.1311	−	9.89062i	−1.02931	−	0.594270i	−0.112520	−	0.993649i	$-0.535892\pi$
$277$	−17.1311	−	9.89062i	−1.02931	−	0.594270i	−0.916786	+	0.399380i	$0.869226\pi$
$278$	−26.3391	+	6.01302i	−1.57972	+	0.360637i
$279$	0.435574			0.0260771
$280$	−4.60552	+	5.89824i	−0.275232	+	0.352487i
$281$	−9.91394			−0.591416			−0.295708	−	0.955278i	$-0.595556\pi$
$281$	−9.91394			−0.591416			−0.295708	+	0.955278i	$0.595556\pi$
$282$	−35.9627	+	8.21000i	−2.14155	+	0.488899i
$283$	23.3509	+	13.4816i	1.38806	+	0.801399i	0.993097	−	0.117296i	$-0.0374225\pi$
$283$	23.3509	+	13.4816i	1.38806	+	0.801399i	0.394967	+	0.918695i	$0.370756\pi$
$284$	−10.4777	−	21.7520i	−0.621738	−	1.29075i
$285$	−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
$290$	2.92908	+	3.15650i	0.172001	+	0.185356i
$291$	−8.87967	+	15.3800i	−0.520535	+	0.901594i
$292$	8.97552	+	0.671784i	0.525253	+	0.0393132i
$293$	−2.04836			−0.119666			−0.0598332	−	0.998208i	$-0.519057\pi$
$293$	−2.04836			−0.119666			−0.0598332	+	0.998208i	$0.519057\pi$
$294$	23.4499	−	19.4916i	1.36762	−	1.13677i
$295$		−	1.13902i		−	0.0663166i
$296$	1.51635	+	0.594879i	0.0881359	+	0.0345766i
$297$	30.5588	+	17.6431i	1.77320	+	1.02376i
$298$	−6.26609	−	6.75261i	−0.362985	−	0.391168i
$299$	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
$304$	−0.425282	+	2.82512i	−0.0243916	+	0.162032i
$305$	−0.0888960	+	0.153972i	−0.00509017	+	0.00881644i
$306$	−34.3364	+	7.83874i	−1.96288	+	0.448111i
$307$			7.59189i			0.433292i	0.976250	+	0.216646i	$0.0695118\pi$
$307$			7.59189i			0.433292i	−0.976250	+	0.216646i	$0.930488\pi$
$308$	6.18380	−	16.2418i	0.352355	−	0.925460i
$309$		−	2.13453i		−	0.121429i
$310$	−0.0211314	−	0.0925630i	−0.00120018	−	0.00525723i
$311$	8.84137	−	15.3137i	0.501348	−	0.868360i	−0.498651	−	0.866803i	$-0.666171\pi$
$311$	8.84137	−	15.3137i	0.501348	−	0.868360i	0.999999	−	0.00155721i	$-0.000495675\pi$
$312$	8.73497	+	57.8980i	0.494521	+	3.27783i
$313$	11.5543	−	6.67087i	0.653087	−	0.377060i	−0.136551	−	0.990633i	$-0.543602\pi$
$313$	11.5543	−	6.67087i	0.653087	−	0.377060i	0.789638	+	0.613573i	$0.210268\pi$
$314$	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	$-0.655937\pi$
$317$	1.03929	−	0.600036i	0.0583725	−	0.0337014i	0.528902	+	0.848683i	$0.322604\pi$
$318$	7.99789	−	7.42165i	0.448499	−	0.416185i
$319$	−8.66072	−	5.00027i	−0.484907	−	0.279961i
$320$	7.64392	−	2.36017i	0.427308	−	0.131938i
$321$		−	15.7662i		−	0.879984i
$322$	2.09229	+	4.23405i	0.116599	+	0.235954i
$323$	−2.74162			−0.152548
$324$	2.03456	−	27.1832i	0.113031	−	1.51018i
$325$	−3.36039	+	5.82037i	−0.186401	+	0.322856i
$326$	0.861273	−	0.799219i	0.0477015	−	0.0442646i
$327$	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	0.771258	−	0.636523i	$-0.219628\pi$
$331$	−3.01312	−	5.21888i	−0.165616	−	0.286856i	−0.936874	+	0.349667i	$0.886295\pi$
$332$	2.81626	+	5.84664i	0.154562	+	0.320876i
$333$	−3.23577	−	1.86817i	−0.177319	−	0.102375i
$334$	−1.13306	−	4.96319i	−0.0619982	−	0.271574i
$335$	13.8585			0.757173
$336$	−32.4803	+	2.77086i	−1.77195	+	0.151163i
$337$	−17.3124			−0.943069			−0.471534	−	0.881848i	$-0.656300\pi$
$337$	−17.3124			−0.943069			−0.471534	+	0.881848i	$0.656300\pi$
$338$	10.1254	+	44.3526i	0.550747	+	2.41246i
$339$	17.5621	+	10.1395i	0.953840	+	0.550700i
$340$	3.33159	+	6.91647i	0.180681	+	0.375098i
$341$	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
$346$	10.9642	−	10.1742i	0.589437	−	0.546969i
$347$	−2.07692	+	3.59734i	−0.111495	+	0.193115i	−0.916373	−	0.400325i	$-0.868897\pi$
$347$	−2.07692	+	3.59734i	−0.111495	+	0.193115i	0.804878	+	0.593440i	$0.202231\pi$
$348$	−1.40006	+	18.7059i	−0.0750512	+	1.00274i
$349$	−12.1023			−0.647823			−0.323912	−	0.946087i	$-0.604998\pi$
$349$	−12.1023			−0.647823			−0.323912	+	0.946087i	$0.604998\pi$
$350$	−3.11276	−	2.07622i	−0.166384	−	0.110979i
$351$		−	72.2064i		−	3.85409i
$352$	−15.3483	+	10.4695i	−0.818068	+	0.558028i
$353$	10.4647	+	6.04182i	0.556982	+	0.321573i	0.751933	−	0.659239i	$-0.229122\pi$
$353$	10.4647	+	6.04182i	0.556982	+	0.321573i	−0.194952	+	0.980813i	$0.562455\pi$
$354$	3.63706	−	3.37501i	0.193308	−	0.179380i
$355$	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	$-0.579358\pi$
$359$	8.88907	−	5.13211i	0.469147	−	0.270862i	0.715883	+	0.698221i	$0.246025\pi$
$360$	−18.1453	+	2.73756i	−0.956344	+	0.144282i
$361$	−9.24493	+	16.0127i	−0.486575	+	0.842773i
$362$	−5.45254	−	23.8840i	−0.286579	−	1.25532i
$363$		−	0.656306i		−	0.0344471i
$364$	−35.1099	+	5.65916i	−1.84026	+	0.296621i
$365$			4.50031i			0.235557i
$366$	−0.755060	+	0.172374i	−0.0394676	+	0.00901015i
$367$	−9.27079	+	16.0575i	−0.483931	+	0.838194i	−0.999830	−	0.0184562i	$-0.994125\pi$
$367$	−9.27079	+	16.0575i	−0.483931	+	0.838194i	0.515898	+	0.856650i	$0.327458\pi$
$368$	0.751569	−	4.99263i	0.0391783	−	0.260259i
$369$	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	$-0.424419\pi$
$373$	23.0707	−	13.3199i	1.19456	−	0.689677i	0.959336	+	0.282266i	$0.0910860\pi$
$374$	−12.1274	−	13.0691i	−0.627095	−	0.675785i
$375$	−2.66758	−	1.54013i	−0.137753	−	0.0795317i
$376$	−8.74726	+	22.2968i	−0.451106	+	1.14987i
$377$			20.4642i			1.05396i
$378$	40.1155	+	2.59653i	2.06332	+	0.133551i
$379$	−24.7032			−1.26892			−0.634459	−	0.772956i	$-0.718777\pi$
$379$	−24.7032			−1.26892			−0.634459	+	0.772956i	$0.718777\pi$
$380$	−1.42449	−	0.106618i	−0.0730749	−	0.00546938i
$381$	−25.3546	+	43.9155i	−1.29896	+	2.24986i
$382$	8.06600	+	8.69227i	0.412693	+	0.444735i
$383$	9.52490	+	16.4976i	0.486700	+	0.842989i	0.999883	−	0.0152904i	$-0.00486727\pi$
$383$	9.52490	+	16.4976i	0.486700	+	0.842989i	−0.513183	+	0.858279i	$0.671534\pi$
$384$	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
$388$	5.00412	+	10.3887i	0.254046	+	0.527406i
$389$	26.6121	+	15.3645i	1.34929	+	0.779010i	0.988148	−	0.153502i	$-0.0490553\pi$
$389$	26.6121	+	15.3645i	1.34929	+	0.779010i	0.361137	+	0.932513i	$0.382389\pi$
$390$	−28.5423	+	6.51599i	−1.44530	+	0.329950i
$391$	4.84507			0.245026
$392$	−1.88150	−	19.7094i	−0.0950301	−	0.995474i
$393$	1.58753			0.0800803
$394$	−13.3782	+	3.05415i	−0.673986	+	0.153866i
$395$	−9.66655	−	5.58099i	−0.486377	−	0.280810i
$396$	38.3952	−	18.4945i	1.92943	−	0.929385i
$397$	−14.3388	−	24.8356i	−0.719646	−	1.24646i	−0.961140	−	0.276061i	$-0.910971\pi$
$397$	−14.3388	−	24.8356i	−0.719646	−	1.24646i	0.241494	−	0.970402i	$-0.422363\pi$
$398$	−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	0.762308	−	0.647214i	$-0.224066\pi$
$401$	−3.59148	−	6.22063i	−0.179350	−	0.310643i	−0.941658	+	0.336571i	$0.890733\pi$
$402$	41.0639	+	44.2522i	2.04808	+	2.20710i
$403$	0.225603	−	0.390755i	0.0112381	−	0.0194649i
$404$	−1.68935	+	22.5710i	−0.0840484	+	1.12295i
$405$	13.6296			0.677262
$406$	−11.3692	−	0.735887i	−0.564245	−	0.0365215i
$407$		−	1.89142i		−	0.0937543i
$408$	−12.2135	+	31.1322i	−0.604658	+	1.54127i
$409$	−13.5732	−	7.83652i	−0.671154	−	0.387491i	0.125360	−	0.992111i	$-0.459991\pi$
$409$	−13.5732	−	7.83652i	−0.671154	−	0.387491i	−0.796514	+	0.604620i	$0.793325\pi$
$410$	−0.222040	−	0.239280i	−0.0109658	−	0.0118172i
$411$	−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
$416$	34.2573	+	16.4876i	1.67960	+	0.808373i
$417$	29.4222	−	50.9607i	1.44081	−	2.49556i
$418$	3.23426	−	0.738356i	0.158193	−	0.0361142i
$419$		−	36.8405i		−	1.79978i	−0.436122	−	0.899888i	$-0.643648\pi$
$419$		−	36.8405i		−	1.79978i	0.436122	−	0.899888i	$-0.356352\pi$
$420$	−2.59369	−	16.0915i	−0.126559	−	0.785183i
$421$			8.37624i			0.408233i	0.978947	+	0.204116i	$0.0654321\pi$
$421$			8.37624i			0.408233i	−0.978947	+	0.204116i	$0.934568\pi$
$422$	0.370051	+	1.62095i	0.0180138	+	0.0789066i
$423$	27.4701	−	47.5796i	1.33564	−	2.31340i
$424$	−1.05685	−	7.00513i	−0.0513252	−	0.340199i
$425$	−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
$430$	10.4319	−	9.68032i	0.503072	−	0.466826i
$431$	−20.5648	−	11.8731i	−0.990570	−	0.571906i	−0.0851256	−	0.996370i	$-0.527129\pi$
$431$	−20.5648	−	11.8731i	−0.990570	−	0.571906i	−0.905445	+	0.424464i	$0.860462\pi$
$432$	−33.6042	−	26.7882i	−1.61678	−	1.28885i
$433$		−	6.49599i		−	0.312177i	−0.987743	−	0.156089i	$-0.950111\pi$
$433$		−	6.49599i		−	0.312177i	0.987743	−	0.156089i	$-0.0498885\pi$
$434$	0.208978	+	0.139389i	0.0100313	+	0.00669088i
$435$	−9.37909			−0.449693
$436$	24.4396	+	1.82921i	1.17044	+	0.0876032i
$437$	−0.450763	+	0.780744i	−0.0215629	+	0.0373481i
$438$	−14.3701	+	13.3348i	−0.686630	+	0.637159i
$439$	11.0256	+	19.0969i	0.526223	+	0.911444i	0.999533	+	0.0305486i	$0.00972544\pi$
$439$	11.0256	+	19.0969i	0.526223	+	0.911444i	−0.473311	+	0.880896i	$0.656941\pi$
$440$	−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	0.791238	−	0.611508i	$-0.209437\pi$
$443$	−2.81959	−	4.88367i	−0.133963	−	0.232030i	−0.925201	+	0.379478i	$0.876104\pi$
$444$	−3.19629	+	1.53962i	−0.151689	+	0.0730670i
$445$	13.3148	+	7.68732i	0.631183	+	0.364414i
$446$	2.51158	+	11.0016i	0.118927	+	0.520941i
$447$	20.0644			0.949015
$448$	−10.3919	+	18.4393i	−0.490970	+	0.871177i
$449$	16.7623			0.791063			0.395531	−	0.918452i	$-0.370560\pi$
$449$	16.7623			0.791063			0.395531	+	0.918452i	$0.370560\pi$
$450$	−2.04212	−	8.94520i	−0.0962665	−	0.421681i
$451$	0.656532	+	0.379049i	0.0309149	+	0.0178487i
$452$	11.8626	−	5.71407i	0.557969	−	0.268767i
$453$	−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	0.632182	−	0.774820i	$-0.282159\pi$
$457$	−7.58737	−	13.1417i	−0.354922	−	0.614744i	−0.987105	+	0.160076i	$0.948826\pi$
$458$	−14.4589	+	13.4172i	−0.675621	+	0.626943i
$459$	20.6201	−	35.7150i	0.962463	−	1.66704i
$460$	2.51740	+	0.188418i	0.117374	+	0.00878503i
$461$	−28.7740			−1.34014			−0.670070	−	0.742298i	$-0.733736\pi$
$461$	−28.7740			−1.34014			−0.670070	+	0.742298i	$0.733736\pi$
$462$	16.7695	+	33.9356i	0.780189	+	1.57883i
$463$			34.4369i			1.60042i	0.599720	+	0.800210i	$0.295279\pi$
$463$			34.4369i			1.60042i	−0.599720	+	0.800210i	$0.704721\pi$
$464$	9.52384	+	7.59211i	0.442133	+	0.352455i
$465$	0.179090	+	0.103398i	0.00830510	+	0.00479495i
$466$	0.0576229	−	0.0534712i	0.00266933	−	0.00247701i
$467$	15.9360	−	9.20065i	0.737430	−	0.425755i	−0.0837042	−	0.996491i	$-0.526675\pi$
$467$	15.9360	−	9.20065i	0.737430	−	0.425755i	0.821134	+	0.570735i	$0.193342\pi$
$468$	−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
$472$	−0.480606	−	3.18560i	−0.0221217	−	0.146629i
$473$	−16.5254	+	28.6229i	−0.759840	+	1.31608i
$474$	−10.8218	−	47.4034i	−0.497064	−	2.17731i
$475$		−	0.714238i		−	0.0327715i
$476$	−18.9823	−	7.22722i	−0.870052	−	0.331259i
$477$			16.2505i			0.744057i
$478$	10.9036	−	2.48922i	0.498721	−	0.113854i
$479$	−11.9755	+	20.7422i	−0.547175	+	0.947735i	0.451292	+	0.892377i	$0.350963\pi$
$479$	−11.9755	+	20.7422i	−0.547175	+	0.947735i	−0.998467	+	0.0553583i	$0.982370\pi$
$480$	−7.55658	+	15.7007i	−0.344909	+	0.716636i
$481$	−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
$486$	9.38044	+	10.1088i	0.425505	+	0.458543i
$487$	−21.5404	−	12.4364i	−0.976089	−	0.563545i	−0.0750017	−	0.997183i	$-0.523896\pi$
$487$	−21.5404	−	12.4364i	−0.976089	−	0.563545i	−0.901087	+	0.433638i	$0.857230\pi$
$488$	−0.183654	+	0.468136i	−0.00831365	+	0.0211915i
$489$			2.55915i			0.115729i
$490$	9.75699	−	1.67366i	0.440776	−	0.0756080i
$491$	−14.2945			−0.645102			−0.322551	−	0.946552i	$-0.604540\pi$
$491$	−14.2945			−0.645102			−0.322551	+	0.946552i	$0.604540\pi$
$492$	0.106133	−	1.41801i	0.00478483	−	0.0639288i
$493$	−5.84398	+	10.1221i	−0.263200	+	0.455875i
$494$	−4.61762	−	4.97615i	−0.207757	−	0.223888i
$495$	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	0.871539	−	0.490326i	$-0.163122\pi$
$499$	0.248745	+	0.430838i	0.0111353	+	0.0192870i	−0.860404	+	0.509612i	$0.829789\pi$
$500$	−1.80186	+	0.867935i	−0.0805815	+	0.0388152i
$501$	9.60274	+	5.54414i	0.429019	+	0.247694i
$502$	25.3671	−	5.79111i	1.13219	−	0.258470i
$503$	−14.1052			−0.628918			−0.314459	−	0.949271i	$-0.601823\pi$
$503$	−14.1052			−0.628918			−0.314459	+	0.949271i	$0.601823\pi$
$504$	29.8804	−	38.2675i	1.33098	−	1.70457i
$505$	−11.3170			−0.503602
$506$	−5.71567	+	1.30484i	−0.254093	+	0.0580074i
$507$	−85.8130	−	49.5441i	−3.81109	−	2.20033i
$508$	14.2886	+	29.6635i	0.633952	+	1.31610i
$509$	−13.9373	−	24.1401i	−0.617760	−	1.06999i	−0.989894	−	0.141813i	$-0.954707\pi$
$509$	−13.9373	−	24.1401i	−0.617760	−	1.06999i	0.372133	−	0.928179i	$-0.378626\pi$
$510$	−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
$514$	−28.7792	−	31.0137i	−1.26940	−	1.36796i
$515$	0.346486	−	0.600132i	0.0152680	−	0.0264450i
$516$	61.8211	+	4.62708i	2.72152	+	0.203696i
$517$	27.8120			1.22317
$518$	−0.954608	−	1.93179i	−0.0419431	−	0.0848780i
$519$			32.5785i			1.43004i
$520$	−6.94239	+	17.6962i	−0.304444	+	0.776028i
$521$	14.0644	+	8.12006i	0.616171	+	0.355746i	0.775377	−	0.631499i	$-0.217560\pi$
$521$	14.0644	+	8.12006i	0.616171	+	0.355746i	−0.159206	+	0.987245i	$0.550893\pi$
$522$	−19.0037	−	20.4792i	−0.831769	−	0.896350i
$523$	−3.56646	+	2.05910i	−0.155950	+	0.0900380i	−0.575944	−	0.817489i	$-0.695366\pi$
$523$	−3.56646	+	2.05910i	−0.155950	+	0.0900380i	0.419994	+	0.907527i	$0.362032\pi$
$524$	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
$528$	6.02378	−	40.0156i	0.262151	−	1.74146i
$529$	−10.7034	+	18.5388i	−0.465365	+	0.806036i
$530$	3.45335	−	0.788374i	0.150004	−	0.0342448i
$531$			7.38993i			0.320696i
$532$	2.93063	−	2.38646i	0.127059	−	0.103466i
$533$		−	1.55130i		−	0.0671943i
$534$	14.9061	+	65.2941i	0.645052	+	2.82555i
$535$	2.55924	−	4.43274i	0.110646	−	0.191644i
$536$	38.7593	−	5.84754i	1.67415	−	0.252575i
$537$	−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	$-0.619495\pi$
$541$	5.94834	−	3.43428i	0.255739	−	0.147651i	0.622389	+	0.782708i	$0.286162\pi$
$542$	20.6149	−	19.1296i	0.885486	−	0.821688i
$543$	46.2106	+	26.6797i	1.98309	+	1.14494i
$544$	12.2361	+	17.9381i	0.524618	+	0.769089i
$545$			12.2540i			0.524902i
$546$	42.9813	−	64.4395i	1.83943	−	2.75776i
$547$	−25.9783			−1.11075			−0.555376	−	0.831599i	$-0.687426\pi$
$547$	−25.9783			−1.11075			−0.555376	+	0.831599i	$0.687426\pi$
$548$	−1.26031	+	16.8387i	−0.0538378	+	0.719312i
$549$	0.576753	−	0.998965i	0.0246152	−	0.0426348i
$550$	3.40471	−	3.15940i	0.145177	−	0.134717i
$551$	−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
$556$	−16.5808	−	34.4222i	−0.703183	−	1.45983i
$557$	6.50339	+	3.75473i	0.275557	+	0.159093i	0.631410	−	0.775449i	$-0.282476\pi$
$557$	6.50339	+	3.75473i	0.275557	+	0.159093i	−0.355853	+	0.934542i	$0.615810\pi$
$558$	0.137100	+	0.600544i	0.00580389	+	0.0254231i
$559$	67.6322			2.86054
$560$	−9.58176	−	4.49331i	−0.404903	−	0.189877i
$561$	38.8329			1.63953
$562$	−3.12047	−	13.6688i	−0.131629	−	0.576582i
$563$	25.3072	+	14.6111i	1.06657	+	0.615786i	0.927243	−	0.374460i	$-0.122172\pi$
$563$	25.3072	+	14.6111i	1.06657	+	0.615786i	0.139329	+	0.990246i	$0.455505\pi$
$564$	−22.6389	−	46.9991i	−0.953272	−	1.97902i
$565$	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	0.848598	+	0.529039i	$0.177447\pi$
$569$	21.0499	+	36.4596i	0.882460	+	1.52847i	0.0338620	+	0.999427i	$0.489219\pi$
$570$	2.28066	−	2.11634i	0.0955262	−	0.0886436i
$571$	−13.3062	+	23.0470i	−0.556846	+	0.964485i	0.440911	+	0.897551i	$0.354655\pi$
$571$	−13.3062	+	23.0470i	−0.556846	+	0.964485i	−0.997757	+	0.0669348i	$0.978678\pi$
$572$	3.29500	−	44.0236i	0.137771	−	1.84072i
$573$	−25.8279			−1.07897
$574$	0.861851	+	0.0557844i	0.0359730	+	0.00232840i
$575$			1.26222i			0.0526382i
$576$	−49.5934	+	15.3127i	−2.06639	+	0.638028i
$577$	25.7918	+	14.8909i	1.07373	+	0.619916i	0.929197	−	0.369585i	$-0.120500\pi$
$577$	25.7918	+	14.8909i	1.07373	+	0.619916i	0.144528	+	0.989501i	$0.453833\pi$
$578$	2.34876	−	2.17953i	0.0976954	−	0.0906565i
$579$	−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
$584$	1.89888	+	12.5864i	0.0785764	+	0.520828i
$585$	21.8020	−	37.7622i	0.901403	−	1.56128i
$586$	−0.644733	−	2.82416i	−0.0266337	−	0.116665i
$587$		−	25.4403i		−	1.05003i	−0.851092	−	0.525017i	$-0.824059\pi$
$587$		−	25.4403i		−	1.05003i	0.851092	−	0.525017i	$-0.175941\pi$
$588$	34.2549	+	26.1962i	1.41265	+	1.08031i
$589$			0.0479510i			0.00197579i
$590$	1.57042	−	0.358515i	0.0646532	−	0.0147598i
$591$	14.9442	−	25.8841i	0.614721	−	1.06473i
$592$	−0.342904	+	2.27789i	−0.0140933	+	0.0936209i
$593$	−12.1719	+	7.02748i	−0.499842	+	0.288584i	−0.728648	−	0.684888i	$-0.759851\pi$
$593$	−12.1719	+	7.02748i	−0.499842	+	0.288584i	0.228806	+	0.973472i	$0.426518\pi$
$594$	−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
$598$	8.16039	+	8.79399i	0.333703	+	0.359613i
$599$	5.81502	+	3.35730i	0.237595	+	0.137176i	0.614071	−	0.789251i	$-0.289531\pi$
$599$	5.81502	+	3.35730i	0.237595	+	0.137176i	−0.376476	+	0.926426i	$0.622864\pi$
$600$	−8.11046	−	3.18182i	−0.331108	−	0.129897i
$601$		−	2.72540i		−	0.111171i	−0.998454	−	0.0555856i	$-0.982297\pi$
$601$		−	2.72540i		−	0.111171i	0.998454	−	0.0555856i	$-0.0177026\pi$
$602$	−2.43204	+	37.5742i	−0.0991225	+	1.53141i
$603$	−89.9135			−3.66156
$604$	−14.2565	−	1.06705i	−0.580089	−	0.0434175i
$605$	0.106534	−	0.184523i	0.00433124	−	0.00750193i
$606$	−33.5332	−	36.1368i	−1.36219	−	1.46796i
$607$	−16.0138	−	27.7367i	−0.649979	−	1.12580i	−0.983127	−	0.182923i	$-0.941444\pi$
$607$	−16.0138	−	27.7367i	−0.649979	−	1.12580i	0.333148	−	0.942875i	$-0.391889\pi$
$608$	−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
$612$	−21.6152	−	44.8737i	−0.873742	−	1.81391i
$613$	26.3757	+	15.2280i	1.06530	+	0.615054i	0.926895	−	0.375321i	$-0.122468\pi$
$613$	26.3757	+	15.2280i	1.06530	+	0.615054i	0.138410	+	0.990375i	$0.455801\pi$
$614$	−10.4673	+	2.38959i	−0.422424	+	0.0964362i
$615$	0.710988			0.0286698
$616$	24.3396	+	3.41367i	0.980669	+	0.137541i
$617$	25.2200			1.01532			0.507660	−	0.861557i	$-0.330511\pi$
$617$	25.2200			1.01532			0.507660	+	0.861557i	$0.330511\pi$
$618$	2.94296	−	0.671856i	0.118383	−	0.0270260i
$619$	1.07430	+	0.620250i	0.0431800	+	0.0249300i	0.521435	−	0.853291i	$-0.325397\pi$
$619$	1.07430	+	0.620250i	0.0431800	+	0.0249300i	−0.478255	+	0.878221i	$0.658730\pi$
$620$	0.120969	−	0.0582696i	0.00485824	−	0.00234016i
$621$	−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
$626$	12.8342	+	13.8307i	0.512957	+	0.552785i
$627$	−3.61283	+	6.25761i	−0.144283	+	0.249905i
$628$	−3.45343	+	46.1404i	−0.137807	+	1.84120i
$629$	−2.21057			−0.0881411
$630$	20.1955	+	13.4704i	0.804606	+	0.536674i
$631$			8.73486i			0.347729i	0.984770	+	0.173865i	$0.0556255\pi$
$631$			8.73486i			0.347729i	−0.984770	+	0.173865i	$0.944374\pi$
$632$	−29.3901	−	11.5300i	−1.16907	−	0.458640i
$633$	−3.13620	−	1.81069i	−0.124653	−	0.0719683i
$634$	1.15442	+	1.24405i	0.0458478	+	0.0494076i
$635$	−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
$640$	5.66004	+	9.79612i	0.223733	+	0.387226i
$641$	10.1834	−	17.6382i	0.402220	−	0.696665i	−0.591774	−	0.806104i	$-0.701572\pi$
$641$	10.1834	−	17.6382i	0.402220	−	0.696665i	0.993994	+	0.109439i	$0.0349054\pi$
$642$	21.7375	−	4.96251i	0.857912	−	0.195855i
$643$		−	20.9423i		−	0.825884i	−0.910757	−	0.412942i	$-0.864501\pi$
$643$		−	20.9423i		−	0.825884i	0.910757	−	0.412942i	$-0.135499\pi$
$644$	−5.17910	+	4.21741i	−0.204085	+	0.166189i
$645$			30.9970i			1.22051i
$646$	−0.862942	−	3.77999i	−0.0339520	−	0.148722i
$647$	−9.88308	+	17.1180i	−0.388544	+	0.672978i	−0.992254	−	0.124226i	$-0.960355\pi$
$647$	−9.88308	+	17.1180i	−0.388544	+	0.672978i	0.603710	+	0.797204i	$0.293689\pi$
$648$	38.1190	−	5.75095i	1.49746	−	0.225919i
$649$	−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	$-0.387939\pi$
$653$	33.9904	−	19.6243i	1.33015	−	0.767960i	0.985322	+	0.170708i	$0.0546054\pi$
$654$	−39.1285	+	36.3094i	−1.53005	+	1.41981i
$655$	0.446341	+	0.257695i	0.0174400	+	0.0100690i
$656$	−0.721961	−	0.575525i	−0.0281878	−	0.0224705i
$657$		−	29.1978i		−	1.13911i
$658$	28.4056	−	14.0368i	1.10736	−	0.547212i
$659$	43.0875			1.67845			0.839225	−	0.543785i	$-0.183009\pi$
$659$	43.0875			1.67845			0.839225	+	0.543785i	$0.183009\pi$
$660$	20.1768	+	1.51016i	0.785380	+	0.0587828i
$661$	4.37780	−	7.58258i	0.170277	−	0.294928i	−0.768240	−	0.640162i	$-0.778867\pi$
$661$	4.37780	−	7.58258i	0.170277	−	0.294928i	0.938517	+	0.345234i	$0.112200\pi$
$662$	6.24709	−	5.79699i	0.242800	−	0.225306i
$663$	−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
$668$	6.48633	−	3.12439i	0.250963	−	0.120886i
$669$	−21.2858	−	12.2894i	−0.822956	−	0.475134i
$670$	4.36206	+	19.1074i	0.168521	+	0.738181i
$671$	0.583931			0.0225424
$672$	−14.0437	−	43.9099i	−0.541747	−	1.69386i
$673$	−13.0780			−0.504121			−0.252060	−	0.967712i	$-0.581108\pi$
$673$	−13.0780			−0.504121			−0.252060	+	0.967712i	$0.581108\pi$
$674$	−5.44920	−	23.8694i	−0.209895	−	0.919414i
$675$	9.30437	+	5.37188i	0.358125	+	0.206764i
$676$	−57.9638	+	27.9205i	−2.22938	+	1.07387i
$677$	−13.8738	−	24.0302i	−0.533215	−	0.923555i	−0.999247	−	0.0387876i	$-0.987650\pi$
$677$	−13.8738	−	24.0302i	−0.533215	−	0.923555i	0.466033	−	0.884767i	$-0.345683\pi$
$678$	−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
$682$	−0.228578	+	0.212109i	−0.00875271	+	0.00812208i
$683$	23.1088	−	40.0257i	0.884235	−	1.53154i	0.0376480	−	0.999291i	$-0.488013\pi$
$683$	23.1088	−	40.0257i	0.884235	−	1.53154i	0.846587	−	0.532250i	$-0.178653\pi$
$684$	9.24203	+	0.691731i	0.353378	+	0.0264490i
$685$	−8.44288			−0.322586
$686$	−15.7003	+	20.9643i	−0.599439	+	0.800420i
$687$		−	42.9626i		−	1.63913i
$688$	25.0912	−	31.4754i	0.956594	−	1.19999i
$689$	14.5784	+	8.41682i	0.555391	+	0.320655i
$690$	−4.03044	+	3.74005i	−0.153436	+	0.142381i
$691$	−13.6210	+	7.86409i	−0.518167	+	0.299164i	−0.736184	−	0.676781i	$-0.763374\pi$
$691$	−13.6210	+	7.86409i	−0.518167	+	0.299164i	0.218017	+	0.975945i	$0.430041\pi$
$692$	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
$696$	−26.2312	+	3.95746i	−0.994292	+	0.150007i
$697$	0.443007	−	0.767311i	0.0167801	−	0.0290640i
$698$	−3.80928	−	16.6860i	−0.144184	−	0.631574i
$699$			0.171218i			0.00647607i
$700$	1.88281	−	4.94520i	0.0711636	−	0.186911i
$701$		−	36.4270i		−	1.37583i	−0.725792	−	0.687914i	$-0.758526\pi$
$701$		−	36.4270i		−	1.37583i	0.725792	−	0.687914i	$-0.241474\pi$
$702$	99.5540	−	22.7274i	3.75742	−	0.857791i
$703$	0.205661	−	0.356216i	0.00775666	−	0.0134349i
$704$	−19.2657	−	17.8660i	−0.726105	−	0.673351i
$705$	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	$-0.874636\pi$
$709$	−28.0338	+	16.1853i	−1.05283	+	0.607853i	−0.129391	+	0.991594i	$0.541302\pi$
$710$	11.6128	+	12.5144i	0.435819	+	0.469658i
$711$	62.7161	+	36.2091i	2.35204	+	1.35795i
$712$	40.4822	+	15.8816i	1.51714	+	0.595188i
$713$		−	0.0847403i		−	0.00317355i
$714$	39.6617	−	19.5991i	1.48430	−	0.733478i
$715$	22.0734			0.825497
$716$	−2.78863	+	37.2582i	−0.104216	+	1.39240i
$717$	−12.1799	+	21.0962i	−0.454868	+	0.787854i
$718$	9.87374	+	10.6404i	0.368485	+	0.397095i
$719$	−0.853166	−	1.47773i	−0.0318177	−	0.0551099i	0.849678	−	0.527302i	$-0.176796\pi$
$719$	−0.853166	−	1.47773i	−0.0318177	−	0.0551099i	−0.881496	+	0.472192i	$0.843463\pi$
$720$	−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
$724$	31.2137	−	15.0353i	1.16005	−	0.558782i
$725$	−2.63697	−	1.52246i	−0.0979346	−	0.0565426i
$726$	0.904876	−	0.206576i	0.0335831	−	0.00766676i
$727$	13.8129			0.512293			0.256146	−	0.966638i	$-0.417547\pi$
$727$	13.8129			0.512293			0.256146	+	0.966638i	$0.417547\pi$
$728$	−18.8536	−	46.6262i	−0.698760	−	1.72808i
$729$	10.8521			0.401930
$730$	−6.20477	+	1.41650i	−0.229649	+	0.0524271i
$731$	33.4525	+	19.3138i	1.23729	+	0.714347i
$732$	−0.475319	−	0.986777i	−0.0175683	−	0.0364723i
$733$	−17.7219	−	30.6952i	−0.654574	−	1.13375i	−0.982001	−	0.188878i	$-0.939515\pi$
$733$	−17.7219	−	30.6952i	−0.654574	−	1.13375i	0.327427	−	0.944876i	$-0.393818\pi$
$734$	−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
$738$	1.44059	+	1.55244i	0.0530287	+	0.0571461i
$739$	14.3056	−	24.7780i	0.526240	−	0.911474i	−0.473293	−	0.880905i	$-0.656935\pi$
$739$	14.3056	−	24.7780i	0.526240	−	0.911474i	0.999533	−	0.0305688i	$-0.00973187\pi$
$740$	−1.14857	−	0.0859659i	−0.0422222	−	0.00316017i
$741$	14.7859			0.543175
$742$	−5.20034	+	7.79659i	−0.190910	+	0.286222i
$743$		−	21.9551i		−	0.805456i	−0.915320	−	0.402728i	$-0.868062\pi$
$743$		−	21.9551i		−	0.805456i	0.915320	−	0.402728i	$-0.131938\pi$
$744$	0.544503	+	0.213614i	0.0199625	+	0.00783148i
$745$	5.64120	+	3.25695i	0.206678	+	0.119325i
$746$	25.6263	+	27.6160i	0.938246	+	1.01109i
$747$	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	$-0.652611\pi$
$751$	2.09527	−	1.20971i	0.0764576	−	0.0441428i	0.537741	+	0.843110i	$0.319278\pi$
$752$	−33.4948	−	5.04216i	−1.22143	−	0.183869i
$753$	−28.3363	+	49.0799i	−1.03263	+	1.78857i
$754$	−28.2148	+	6.44123i	−1.02752	+	0.234576i
$755$		−	7.14820i		−	0.260150i
$756$	9.04667	+	56.1262i	0.329024	+	2.04129i
$757$		−	12.1295i		−	0.440854i	−0.975403	−	0.220427i	$-0.929255\pi$
$757$		−	12.1295i		−	0.440854i	0.975403	−	0.220427i	$-0.0707451\pi$
$758$	−7.77549	−	34.0593i	−0.282418	−	1.23709i
$759$	6.38470	−	11.0586i	0.231750	−	0.401403i
$760$	−0.301369	−	1.99756i	−0.0109318	−	0.0724593i
$761$	−28.8033	+	16.6296i	−1.04412	+	0.602823i	−0.920997	−	0.389569i	$-0.872624\pi$
$761$	−28.8033	+	16.6296i	−1.04412	+	0.602823i	−0.123122	+	0.992392i	$0.539291\pi$
$762$	−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
$766$	−19.7479	+	18.3251i	−0.713521	+	0.662113i
$767$	6.62954	+	3.82757i	0.239379	+	0.138205i
$768$	−14.5092	+	47.0999i	−0.523556	+	1.69957i
$769$			32.8673i			1.18523i	0.805487	+	0.592613i	$0.201904\pi$
$769$			32.8673i			1.18523i	−0.805487	+	0.592613i	$0.798096\pi$
$770$	−0.793753	+	12.2632i	−0.0286049	+	0.441936i
$771$	92.1529			3.31881
$772$	−1.29104	+	17.2493i	−0.0464657	+	0.620815i
$773$	13.9148	−	24.1011i	0.500480	−	0.866857i	−0.499520	−	0.866302i	$-0.666490\pi$
$773$	13.9148	−	24.1011i	0.500480	−	0.866857i	1.00000		0.000554379i	$-0.000176464\pi$
$774$	−67.6818	+	62.8054i	−2.43277	+	2.25749i
$775$	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
$780$	−17.9677	−	37.3015i	−0.643348	−	1.33561i
$781$	−34.3368	−	19.8243i	−1.22867	−	0.709370i
$782$	1.52501	+	6.68010i	0.0545344	+	0.238880i
$783$	32.7138			1.16910
$784$	26.5819	−	8.79775i	0.949355	−	0.314206i
$785$	−23.1347			−0.825713
$786$	0.499685	+	2.18879i	0.0178232	+	0.0780717i
$787$	−6.78734	−	3.91867i	−0.241943	−	0.139686i	0.374127	−	0.927378i	$-0.377943\pi$
$787$	−6.78734	−	3.91867i	−0.241943	−	0.139686i	−0.616069	+	0.787692i	$0.711276\pi$
$788$	−8.42176	−	17.4838i	−0.300013	−	0.622835i
$789$	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
$794$	29.7286	−	27.5867i	1.05503	−	0.979016i
$795$	−3.85757	+	6.68151i	−0.136814	+	0.236969i
$796$	0.0565522	−	0.755579i	0.00200444	−	0.0267808i
$797$	9.03418			0.320007			0.160004	−	0.987116i	$-0.448849\pi$
$797$	9.03418			0.320007			0.160004	+	0.987116i	$0.448849\pi$
$798$	−0.531699	+	8.21458i	−0.0188219	+	0.290793i
$799$		−	32.5048i		−	1.14994i
$800$	−4.67317	+	3.18770i	−0.165222	+	0.112702i
$801$	−86.3859	−	49.8749i	−3.05230	−	1.76224i
$802$	7.44620	−	6.90970i	0.262934	−	0.243990i
$803$	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
$808$	−31.6513	+	4.77517i	−1.11349	+	0.167990i
$809$	4.13014	−	7.15361i	0.145208	−	0.251508i	−0.784243	−	0.620454i	$-0.786948\pi$
$809$	4.13014	−	7.15361i	0.145208	−	0.251508i	0.929451	+	0.368947i	$0.120282\pi$
$810$	4.29001	+	18.7917i	0.150736	+	0.660274i
$811$		−	4.89216i		−	0.171787i	−0.996304	−	0.0858936i	$-0.972626\pi$
$811$		−	4.89216i		−	0.171787i	0.996304	−	0.0858936i	$-0.0273745\pi$
$812$	−2.56393	−	15.9068i	−0.0899765	−	0.558221i
$813$			61.2543i			2.14828i
$814$	2.60778	−	0.595337i	0.0914027	−	0.0208665i
$815$	−0.415413	+	0.719516i	−0.0145513	+	0.0252035i
$816$	−46.7676	−	7.04019i	−1.63719	−	0.246456i
$817$	−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	$-0.417858\pi$
$821$	34.9611	−	20.1848i	1.22015	−	0.704455i	0.964950	+	0.262433i	$0.0845248\pi$
$822$	−25.0169	−	26.9592i	−0.872563	−	0.940312i
$823$	−32.0112	−	18.4817i	−1.11584	−	0.644231i	−0.175505	−	0.984479i	$-0.556156\pi$
$823$	−32.0112	−	18.4817i	−1.11584	−	0.644231i	−0.940336	+	0.340247i	$0.889489\pi$
$824$	0.715822	−	1.82463i	0.0249369	−	0.0635641i
$825$			10.1166i			0.352215i
$826$	−2.36487	+	3.54552i	−0.0822843	+	0.123364i
$827$	34.0217			1.18305			0.591526	−	0.806286i	$-0.298526\pi$
$827$	34.0217			1.18305			0.591526	+	0.806286i	$0.298526\pi$
$828$	−16.3328	−	1.22245i	−0.567603	−	0.0424829i
$829$	−5.83499	+	10.1065i	−0.202657	+	0.351013i	−0.949384	−	0.314118i	$-0.898291\pi$
$829$	−5.83499	+	10.1065i	−0.202657	+	0.351013i	0.746726	+	0.665131i	$0.231624\pi$
$830$	−3.12134	−	3.36370i	−0.108343	−	0.116756i
$831$	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
$836$	2.03601	+	4.22680i	0.0704167	+	0.146187i
$837$	−0.624657	−	0.360646i	−0.0215913	−	0.0124657i
$838$	50.7935	−	11.5958i	1.75463	−	0.400569i
$839$	−29.7543			−1.02723			−0.513616	−	0.858020i	$-0.671694\pi$
$839$	−29.7543			−1.02723			−0.513616	+	0.858020i	$0.671694\pi$
$840$	21.3696	−	8.64092i	0.737321	−	0.298140i
$841$	19.7285			0.680294
$842$	−11.5487	+	2.63647i	−0.397993	+	0.0908589i
$843$	26.4462	+	15.2687i	0.910855	+	0.525883i
$844$	−2.11840	+	1.02041i	−0.0729182	+	0.0351239i
$845$	−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
$850$	−3.69250	−	3.97920i	−0.126652	−	0.136485i
$851$	−0.363450	+	0.629514i	−0.0124589	+	0.0215795i
$852$	−5.55076	+	74.1622i	−0.190166	+	2.54076i
$853$	−11.5473			−0.395370			−0.197685	−	0.980266i	$-0.563342\pi$
$853$	−11.5473			−0.395370			−0.197685	+	0.980266i	$0.563342\pi$
$854$	0.596393	−	0.294712i	0.0204082	−	0.0100848i
$855$			4.63394i			0.158477i
$856$	5.28726	−	13.4772i	0.180715	−	0.460642i
$857$	29.7816	+	17.1944i	1.01732	+	0.587350i	0.913327	−	0.407228i	$-0.133505\pi$
$857$	29.7816	+	17.1944i	1.01732	+	0.587350i	0.103994	+	0.994578i	$0.466838\pi$
$858$	65.4050	+	70.4832i	2.23289	+	2.40626i
$859$	−4.47750	+	2.58509i	−0.152770	+	0.0882020i	−0.574436	−	0.818549i	$-0.694779\pi$
$859$	−4.47750	+	2.58509i	−0.152770	+	0.0882020i	0.421666	+	0.906751i	$0.361445\pi$
$860$	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	$-0.507348\pi$
$863$	24.4172	−	14.0973i	0.831172	−	0.479878i	0.854254	+	0.519856i	$0.174014\pi$
$864$	26.3569	−	54.7633i	0.896681	−	1.86308i
$865$	−5.28828	+	9.15958i	−0.179807	+	0.311435i
$866$	8.95629	−	2.04465i	0.304347	−	0.0694801i
$867$			6.97900i			0.237019i
$868$	−0.126404	+	0.332001i	−0.00429044	+	0.0112688i
$869$			36.6598i			1.24360i
$870$	−2.95213	−	12.9313i	−0.100086	−	0.438414i
$871$	−46.5701	+	80.6618i	−1.57797	+	2.73312i
$872$	5.17050	+	34.2716i	0.175095	+	1.16058i
$873$	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	$-0.643363\pi$
$877$	3.75181	−	2.16611i	0.126690	−	0.0731443i	0.562005	+	0.827133i	$0.310030\pi$
$878$	−22.8593	+	21.2123i	−0.771464	+	0.715880i
$879$	5.46415	+	3.15473i	0.184301	+	0.106406i
$880$	8.18912	−	10.2727i	0.276055	−	0.346294i
$881$			4.70606i			0.158551i	0.996853	+	0.0792757i	$0.0252607\pi$
$881$			4.70606i			0.158551i	−0.996853	+	0.0792757i	$0.974739\pi$
$882$	−63.3029	+	10.8586i	−2.13152	+	0.365628i
$883$	−18.9412			−0.637424			−0.318712	−	0.947852i	$-0.603250\pi$
$883$	−18.9412			−0.637424			−0.318712	+	0.947852i	$0.603250\pi$
$884$	−51.4519	−	3.85098i	−1.73051	−	0.129522i
$885$	−1.75424	+	3.03844i	−0.0589682	+	0.102136i
$886$	5.84584	−	5.42465i	0.196395	−	0.182245i
$887$	16.6634	+	28.8618i	0.559501	+	0.969085i	0.997538	+	0.0701277i	$0.0223407\pi$
$887$	16.6634	+	28.8618i	0.559501	+	0.969085i	−0.438037	+	0.898957i	$0.644326\pi$
$888$	−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
$892$	−14.3778	+	6.92564i	−0.481405	+	0.231888i
$893$	5.23789	+	3.02410i	0.175279	+	0.101198i
$894$	6.31540	+	27.6637i	0.211219	+	0.925212i
$895$	−18.6812			−0.624443
$896$	−28.6940	−	8.52382i	−0.958599	−	0.284761i
$897$	−26.1301			−0.872459
$898$	5.27604	+	23.1109i	0.176064	+	0.771221i
$899$	0.177035	+	0.102211i	0.00590446	+	0.00340894i
$900$	11.6904	−	5.63112i	0.389679	−	0.187704i
$901$	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
$906$	22.8251	−	21.1806i	0.758315	−	0.703679i
$907$	−22.7638	+	39.4281i	−0.755861	+	1.30919i	0.189085	+	0.981961i	$0.439448\pi$
$907$	−22.7638	+	39.4281i	−0.755861	+	1.30919i	−0.944945	+	0.327228i	$0.893885\pi$
$908$	12.4816	+	0.934200i	0.414216	+	0.0310025i
$909$	73.4244			2.43533
$910$	22.5445	−	11.1405i	0.747342	−	0.369305i
$911$		−	9.10038i		−	0.301509i	−0.988571	−	0.150755i	$-0.951830\pi$
$911$		−	9.10038i		−	0.301509i	0.988571	−	0.150755i	$-0.0481703\pi$
$912$	5.48551	−	6.88124i	0.181643	−	0.227861i
$913$	9.22922	+	5.32850i	0.305443	+	0.176347i
$914$	15.7309	−	14.5975i	0.520331	−	0.482841i
$915$	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	$-0.532020\pi$
$919$	21.5543	−	12.4444i	0.711010	−	0.410502i	0.811435	+	0.584443i	$0.198687\pi$
$920$	0.532588	+	3.53015i	0.0175589	+	0.116386i
$921$	11.6925	−	20.2519i	0.385280	−	0.667324i
$922$	−9.05680	−	39.6719i	−0.298270	−	1.30653i
$923$			81.1333i			2.67054i
$924$	−41.5101	+	33.8023i	−1.36558	+	1.11201i
$925$		−	0.575890i		−	0.0189351i
$926$	−47.4796	+	10.8392i	−1.56028	+	0.356199i
$927$	−2.24799	+	3.89362i	−0.0738335	+	0.127883i
$928$	−7.46988	+	15.5206i	−0.245211	+	0.509488i
$929$	35.0593	−	20.2415i	1.15026	−	0.664102i	0.201308	−	0.979528i	$-0.435481\pi$
$929$	35.0593	−	20.2415i	1.15026	−	0.664102i	0.948950	+	0.315426i	$0.102147\pi$
$930$	−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
$934$	17.7013	+	19.0757i	0.579203	+	0.624175i
$935$	10.9180	+	6.30352i	0.357058	+	0.206147i
$936$	45.0419	−	114.812i	1.47224	−	3.75274i
$937$		−	33.0886i		−	1.08096i	−0.841358	−	0.540478i	$-0.818243\pi$
$937$		−	33.0886i		−	1.08096i	0.841358	−	0.540478i	$-0.181757\pi$
$938$	−43.1384	−	28.7734i	−1.40852	−	0.939485i
$939$	−41.0959			−1.34111
$940$	1.26407	−	16.8888i	0.0412293	−	0.550853i
$941$	12.0677	−	20.9019i	0.393396	−	0.681382i	−0.599499	−	0.800375i	$-0.704633\pi$
$941$	12.0677	−	20.9019i	0.393396	−	0.681382i	0.992895	+	0.118994i	$0.0379668\pi$
$942$	−68.5498	−	73.8722i	−2.23347	−	2.40689i
$943$	−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	−0.991471	−	0.130325i	$-0.958398\pi$
$947$	−18.7287	−	32.4390i	−0.608600	−	1.05413i	0.382871	−	0.923802i	$-0.374935\pi$
$948$	61.9509	−	29.8411i	2.01207	−	0.969192i
$949$	−26.1935	−	15.1228i	−0.850276	−	0.490907i
$950$	0.984749	−	0.224811i	0.0319495	−	0.00729382i
$951$	−3.69652			−0.119868
$952$	3.98967	−	28.4465i	0.129306	−	0.921956i
$953$	−13.4036			−0.434185			−0.217092	−	0.976151i	$-0.569657\pi$
$953$	−13.4036			−0.434185			−0.217092	+	0.976151i	$0.569657\pi$
$954$	−22.4052	+	5.11493i	−0.725394	+	0.165602i
$955$	−7.26161	−	4.19249i	−0.234980	−	0.135666i
$956$	6.86397	+	14.2498i	0.221997	+	0.460871i
$957$	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
$962$	−3.72319	−	4.01227i	−0.120040	−	0.129361i
$963$	−16.6042	+	28.7594i	−0.535064	+	0.926757i
$964$	26.7649	+	2.00325i	0.862039	+	0.0645203i
$965$	−8.64877			−0.278414
$966$	0.939633	−	14.5170i	0.0302322	−	0.467078i
$967$		−	16.1690i		−	0.519959i	−0.965614	−	0.259980i	$-0.916284\pi$
$967$		−	16.1690i		−	0.519959i	0.965614	−	0.259980i	$-0.0837158\pi$
$968$	0.220095	−	0.561022i	0.00707411	−	0.0180319i
$969$	7.31348	+	4.22244i	0.234943	+	0.135644i
$970$	−5.54621	−	5.97684i	−0.178078	−	0.191905i
$971$	11.2868	−	6.51641i	0.362209	−	0.209122i	−0.307840	−	0.951438i	$-0.599606\pi$
$971$	11.2868	−	6.51641i	0.362209	−	0.209122i	0.670049	+	0.742316i	$0.266273\pi$
$972$	−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
$976$	−0.703245	−	0.105863i	−0.0225103	−	0.00338861i
$977$	5.75357	−	9.96548i	0.184073	−	0.318824i	−0.759191	−	0.650868i	$-0.774405\pi$
$977$	5.75357	−	9.96548i	0.184073	−	0.318824i	0.943264	+	0.332044i	$0.107738\pi$
$978$	−3.52841	+	0.805509i	−0.112826	+	0.0257573i
$979$		−	50.4956i		−	1.61385i
$980$	5.37861	+	12.9256i	0.171813	+	0.412892i
$981$		−	79.5030i		−	2.53834i
$982$	−4.49928	−	19.7084i	−0.143578	−	0.628921i
$983$	−6.41950	+	11.1189i	−0.204750	+	0.354638i	−0.950053	−	0.312088i	$-0.898972\pi$
$983$	−6.41950	+	11.1189i	−0.204750	+	0.354638i	0.745303	+	0.666726i	$0.232305\pi$
$984$	1.98848	−	0.299998i	0.0633903	−	0.00956358i
$985$	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
$990$	−22.0896	+	20.4980i	−0.702053	+	0.651470i
$991$	−21.2549	−	12.2715i	−0.675183	−	0.389817i	0.122854	−	0.992425i	$-0.460795\pi$
$991$	−21.2549	−	12.2715i	−0.675183	−	0.389817i	−0.798038	+	0.602607i	$0.794129\pi$
$992$	0.313738	−	0.214009i	0.00996118	−	0.00679480i
$993$			18.5623i			0.589058i
$994$	−45.0750	−	2.91754i	−1.42969	−	0.0925386i
$995$	0.378846			0.0120102
$996$	1.49196	−	19.9337i	0.0472747	−	0.631625i
$997$	20.2325	−	35.0437i	0.640769	−	1.10984i	−0.344493	−	0.938789i	$-0.611949\pi$
$997$	20.2325	−	35.0437i	0.640769	−	1.10984i	0.985262	−	0.171055i	$-0.0547175\pi$
$998$	−0.515721	+	0.478564i	−0.0163249	+	0.0151487i
$999$	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.f.171.6	yes	24
4.3	odd	2		1120.2.bz.e.591.12		24
7.5	odd	6		280.2.bj.e.131.10	✓	24
8.3	odd	2		280.2.bj.e.171.10	yes	24
8.5	even	2		1120.2.bz.f.591.12		24
28.19	even	6		1120.2.bz.f.271.12		24
56.5	odd	6		1120.2.bz.e.271.12		24
56.19	even	6	inner	280.2.bj.f.131.6	yes	24

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
280.2.bj.e.131.10	✓	24	7.5	odd	6
280.2.bj.e.171.10	yes	24	8.3	odd	2
280.2.bj.f.131.6	yes	24	56.19	even	6	inner
280.2.bj.f.171.6	yes	24	1.1	even	1	trivial
1120.2.bz.e.271.12		24	56.5	odd	6
1120.2.bz.e.591.12		24	4.3	odd	2
1120.2.bz.f.271.12		24	28.19	even	6
1120.2.bz.f.591.12		24	8.5	even	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:	\( N \)	\(=\)	\( 280 = 2^{3} \cdot 5 \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	280.bj (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(0.314756 + 1.37874i) q^{2} +(-2.66758 - 1.54013i) q^{3} +(-1.80186 + 0.867935i) q^{4} +(-0.500000 - 0.866025i) q^{5} +(1.28380 - 4.16266i) q^{6} +(2.53597 + 0.754231i) q^{7} +(-1.76380 - 2.21111i) q^{8} +(3.24397 + 5.61873i) q^{9} +O(q^{10})\)	\(q+(0.314756 + 1.37874i) q^{2} +(-2.66758 - 1.54013i) q^{3} +(-1.80186 + 0.867935i) 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} +(1.03665 - 0.961958i) q^{10} +(-1.64217 + 2.84433i) q^{11} +(6.14332 + 0.459804i) q^{12} +6.72078 q^{13} +(-0.241678 + 3.73384i) q^{14} +3.08025i q^{15} +(2.49338 - 3.12779i) q^{16} +(3.32426 + 1.91926i) q^{17} +(-6.72571 + 6.24113i) 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} +(1.29970 + 8.61478i) q^{24} +(-0.500000 + 0.866025i) q^{25} +(2.11541 + 9.26622i) q^{26} -10.7438i q^{27} +(-5.22408 + 0.842039i) q^{28} +3.04491i q^{29} +(-4.24687 + 0.969528i) q^{30} +(0.0335679 - 0.0581414i) q^{31} +(5.09722 + 2.45323i) 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} +(-0.687067 - 0.740413i) q^{38} +(-17.9282 - 10.3508i) q^{39} +(-1.03297 + 2.63305i) q^{40} -0.230821i q^{41} +(6.39528 - 9.58810i) q^{42} +10.0631 q^{43} +(0.490271 - 6.55037i) q^{44} +(3.24397 - 5.61873i) q^{45} +(1.21420 + 1.30848i) 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} +(-12.1099 + 5.83320i) q^{52} +(2.16915 + 1.25236i) q^{53} +(14.8129 - 3.38166i) q^{54} +3.28435 q^{55} +(-2.80526 - 6.93761i) q^{56} +2.20003 q^{57} +(-4.19815 + 0.958404i) q^{58} +(0.986424 + 0.569512i) q^{59} +(-2.67346 - 5.55017i) 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} +(9.73175 + 10.4874i) q^{66} +(-6.92927 + 12.0019i) q^{67} +(-7.65564 - 0.572996i) q^{68} -3.88796 q^{69} +(3.35444 - 1.65762i) q^{70} +12.0720i q^{71} +(6.70188 - 17.0831i) q^{72} +(-3.89739 - 2.25016i) q^{73} +(-0.553982 - 0.596995i) 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} +(-3.95543 - 0.595434i) q^{80} +(-6.81481 + 11.8036i) q^{81} +(0.318243 - 0.0726525i) q^{82} -3.24478i q^{83} +(15.2325 + 5.79953i) q^{84} -3.83853i q^{85} +(3.16744 + 13.8745i) q^{86} +(4.68955 - 8.12253i) q^{87} +(9.18558 - 1.38581i) 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} +(8.77837 - 8.14590i) q^{94} +(0.618548 + 0.357119i) q^{95} +(-9.81893 - 14.3945i) q^{96} -5.76555i q^{97} +(-3.42907 + 9.28663i) 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	\( 24 q + 3 q^{2} + 12 q^{3} + q^{4} - 12 q^{5} - 2 q^{6} + 10 q^{7} - 6 q^{8} + 12 q^{9} - 3 q^{10} + 8 q^{11} + 10 q^{12} + 20 q^{13} + 5 q^{14} - 3 q^{16} + 6 q^{17} + 3 q^{18} + 18 q^{19} - 2 q^{20} - 26 q^{21} - 16 q^{22} + 18 q^{23} - 18 q^{24} - 12 q^{25} - 37 q^{26} - 41 q^{28} - 8 q^{30} - 6 q^{31} + 3 q^{32} + 12 q^{33} - 20 q^{34} - 8 q^{35} - 22 q^{36} + 15 q^{38} - 18 q^{39} + 3 q^{40} - 12 q^{42} + 32 q^{43} + 35 q^{44} + 12 q^{45} - 49 q^{46} - 14 q^{48} + 8 q^{49} - 22 q^{51} - 41 q^{52} + 30 q^{53} + 104 q^{54} - 16 q^{55} + 44 q^{56} - 44 q^{57} - 54 q^{58} - 18 q^{59} - 8 q^{60} + 22 q^{61} + 8 q^{62} - 12 q^{63} + 58 q^{64} - 10 q^{65} + 8 q^{66} - 8 q^{67} + 18 q^{68} - 12 q^{69} - q^{70} - 17 q^{72} + 30 q^{73} + 53 q^{74} - 12 q^{75} + 8 q^{76} - 32 q^{77} - 8 q^{78} + 6 q^{79} - 3 q^{80} - 4 q^{81} - 57 q^{82} + 42 q^{86} + 14 q^{87} - 17 q^{88} - 60 q^{89} + 24 q^{90} + 18 q^{91} - 38 q^{92} - 18 q^{93} + 19 q^{94} - 18 q^{95} - 74 q^{96} + 3 q^{98} - 56 q^{99}+O(q^{100}) \) 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 + 10 * q^12 + 20 * q^13 + 5 * q^14 - 3 * q^16 + 6 * q^17 + 3 * q^18 + 18 * q^19 - 2 * q^20 - 26 * q^21 - 16 * q^22 + 18 * q^23 - 18 * q^24 - 12 * q^25 - 37 * q^26 - 41 * q^28 - 8 * q^30 - 6 * q^31 + 3 * q^32 + 12 * q^33 - 20 * q^34 - 8 * q^35 - 22 * q^36 + 15 * q^38 - 18 * q^39 + 3 * q^40 - 12 * q^42 + 32 * q^43 + 35 * q^44 + 12 * q^45 - 49 * q^46 - 14 * q^48 + 8 * q^49 - 22 * q^51 - 41 * q^52 + 30 * q^53 + 104 * q^54 - 16 * q^55 + 44 * q^56 - 44 * q^57 - 54 * q^58 - 18 * q^59 - 8 * q^60 + 22 * q^61 + 8 * q^62 - 12 * q^63 + 58 * q^64 - 10 * q^65 + 8 * q^66 - 8 * q^67 + 18 * q^68 - 12 * q^69 - q^70 - 17 * q^72 + 30 * q^73 + 53 * q^74 - 12 * q^75 + 8 * q^76 - 32 * q^77 - 8 * q^78 + 6 * q^79 - 3 * q^80 - 4 * q^81 - 57 * q^82 + 42 * q^86 + 14 * q^87 - 17 * q^88 - 60 * q^89 + 24 * q^90 + 18 * q^91 - 38 * q^92 - 18 * q^93 + 19 * q^94 - 18 * q^95 - 74 * q^96 + 3 * q^98 - 56 * q^99

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