LMFDB - Embedded newform 153.2.n.a.106.11

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [153,2,Mod(4,153)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(153, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([4, 9]))

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

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

chi := DirichletCharacter("153.4");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 153 = 3^{2} \cdot 17 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	153.n (of order $12$, degree $4$, 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:	$1.22171115093$
Analytic rank:	$0$
Dimension:	$64$
Relative dimension:	$16$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			106.11
Character	$\chi$	$=$	153.106
Dual form			153.2.n.a.13.11

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(1.15506 + 0.666877i) q^{2} +(-0.864115 - 1.50110i) q^{3} +(-0.110551 - 0.191481i) q^{4} +(0.203465 + 0.0545182i) q^{5} +(0.00294161 - 2.31013i) q^{6} +(3.60357 - 0.965572i) q^{7} -2.96240i q^{8} +(-1.50661 + 2.59425i) q^{9} +O(q^{10})$	\(q+(1.15506 + 0.666877i) q^{2} +(-0.864115 - 1.50110i) q^{3} +(-0.110551 - 0.191481i) q^{4} +(0.203465 + 0.0545182i) q^{5} +(0.00294161 - 2.31013i) q^{6} +(3.60357 - 0.965572i) q^{7} -2.96240i q^{8} +(-1.50661 + 2.59425i) q^{9} +(0.198658 + 0.198658i) q^{10} +(-0.162748 + 0.0436083i) q^{11} +(-0.191903 + 0.331410i) q^{12} +(0.706706 + 1.22405i) q^{13} +(4.80627 + 1.28784i) q^{14} +(-0.0939796 - 0.352531i) q^{15} +(1.75445 - 3.03880i) q^{16} +(-4.12302 + 0.0270617i) q^{17} +(-3.47028 + 1.99180i) q^{18} +5.28066i q^{19} +(-0.0120541 - 0.0449866i) q^{20} +(-4.56332 - 4.57495i) q^{21} +(-0.217066 - 0.0581627i) q^{22} +(-1.82018 + 6.79301i) q^{23} +(-4.44687 + 2.55986i) q^{24} +(-4.29170 - 2.47781i) q^{25} +1.88514i q^{26} +(5.19611 + 0.0198496i) q^{27} +(-0.583267 - 0.583267i) q^{28} +(0.863336 + 3.22202i) q^{29} +(0.126543 - 0.469869i) q^{30} +(6.79453 + 1.82059i) q^{31} +(-1.07802 + 0.622394i) q^{32} +(0.206094 + 0.206619i) q^{33} +(-4.78040 - 2.71829i) q^{34} +0.785840 q^{35} +(0.663306 + 0.00168925i) q^{36} +(6.83838 - 6.83838i) q^{37} +(-3.52155 + 6.09950i) q^{38} +(1.22675 - 2.11856i) q^{39} +(0.161505 - 0.602745i) q^{40} +(-0.965717 + 3.60410i) q^{41} +(-2.21999 - 8.32753i) q^{42} +(-5.92513 - 3.42088i) q^{43} +(0.0263422 + 0.0263422i) q^{44} +(-0.447976 + 0.445700i) q^{45} +(-6.63253 + 6.63253i) q^{46} +(1.01890 - 1.76479i) q^{47} +(-6.07760 - 0.00773894i) q^{48} +(5.99118 - 3.45901i) q^{49} +(-3.30479 - 5.72407i) q^{50} +(3.60338 + 6.16568i) q^{51} +(0.156255 - 0.270641i) q^{52} -6.04183i q^{53} +(5.98861 + 3.48809i) q^{54} -0.0354910 q^{55} +(-2.86041 - 10.6752i) q^{56} +(7.92681 - 4.56310i) q^{57} +(-1.15148 + 4.29737i) q^{58} +(-0.580968 + 0.335422i) q^{59} +(-0.0571133 + 0.0569681i) q^{60} +(2.99203 - 0.801711i) q^{61} +(6.63401 + 6.63401i) q^{62} +(-2.92424 + 10.8033i) q^{63} -8.67806 q^{64} +(0.0770567 + 0.287580i) q^{65} +(0.100262 + 0.376097i) q^{66} +(-2.21819 - 3.84202i) q^{67} +(0.460987 + 0.786486i) q^{68} +(11.7698 - 3.13766i) q^{69} +(0.907696 + 0.524058i) q^{70} +(-5.52395 + 5.52395i) q^{71} +(7.68521 + 4.46319i) q^{72} +(-4.07769 + 4.07769i) q^{73} +(12.4591 - 3.33841i) q^{74} +(-0.0109297 + 8.58340i) q^{75} +(1.01114 - 0.583784i) q^{76} +(-0.544367 + 0.314290i) q^{77} +(2.82979 - 1.62898i) q^{78} +(-1.30778 + 0.350417i) q^{79} +(0.522640 - 0.522640i) q^{80} +(-4.46024 - 7.81705i) q^{81} +(-3.51896 + 3.51896i) q^{82} +(3.07278 + 1.77407i) q^{83} +(-0.371534 + 1.37955i) q^{84} +(-0.840364 - 0.219274i) q^{85} +(-4.56261 - 7.90266i) q^{86} +(4.09055 - 4.08015i) q^{87} +(0.129185 + 0.482126i) q^{88} -15.8264 q^{89} +(-0.814669 + 0.216068i) q^{90} +(3.72857 + 3.72857i) q^{91} +(1.50195 - 0.402447i) q^{92} +(-3.13836 - 11.7725i) q^{93} +(2.35380 - 1.35897i) q^{94} +(-0.287893 + 1.07443i) q^{95} +(1.86581 + 1.08039i) q^{96} +(2.32204 + 8.66597i) q^{97} +9.22692 q^{98} +(0.132068 - 0.487910i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 64 q - 6 q^{3} + 24 q^{4} - 2 q^{5} - 10 q^{6} - 2 q^{7}+O(q^{10}) $ 64 * q - 6 * q^3 + 24 * q^4 - 2 * q^5 - 10 * q^6 - 2 * q^7	$ 64 q - 6 q^{3} + 24 q^{4} - 2 q^{5} - 10 q^{6} - 2 q^{7} - 16 q^{10} - 24 q^{12} - 4 q^{13} - 16 q^{16} - 8 q^{17} - 8 q^{18} + 18 q^{20} - 16 q^{21} - 4 q^{22} - 8 q^{23} - 2 q^{24} - 10 q^{29} - 36 q^{30} - 2 q^{31} + 12 q^{33} + 20 q^{34} - 128 q^{35} - 8 q^{37} - 24 q^{38} + 34 q^{39} - 20 q^{40} + 32 q^{41} + 20 q^{44} + 20 q^{45} - 40 q^{46} - 64 q^{47} + 62 q^{48} + 48 q^{50} + 40 q^{51} + 36 q^{52} - 46 q^{54} - 16 q^{55} + 12 q^{56} + 72 q^{57} - 10 q^{58} - 2 q^{61} - 28 q^{62} + 64 q^{63} - 8 q^{64} + 8 q^{65} - 4 q^{67} - 60 q^{68} - 24 q^{69} - 84 q^{71} + 72 q^{72} - 44 q^{73} - 14 q^{74} + 46 q^{75} - 56 q^{78} + 10 q^{79} + 204 q^{80} + 44 q^{81} - 52 q^{82} - 60 q^{84} + 22 q^{85} + 32 q^{86} + 16 q^{88} + 128 q^{89} - 66 q^{90} + 44 q^{91} + 136 q^{92} + 4 q^{95} - 2 q^{96} - 44 q^{97} + 208 q^{98} + 6 q^{99}+O(q^{100}) $ 64 * q - 6 * q^3 + 24 * q^4 - 2 * q^5 - 10 * q^6 - 2 * q^7 - 16 * q^10 - 24 * q^12 - 4 * q^13 - 16 * q^16 - 8 * q^17 - 8 * q^18 + 18 * q^20 - 16 * q^21 - 4 * q^22 - 8 * q^23 - 2 * q^24 - 10 * q^29 - 36 * q^30 - 2 * q^31 + 12 * q^33 + 20 * q^34 - 128 * q^35 - 8 * q^37 - 24 * q^38 + 34 * q^39 - 20 * q^40 + 32 * q^41 + 20 * q^44 + 20 * q^45 - 40 * q^46 - 64 * q^47 + 62 * q^48 + 48 * q^50 + 40 * q^51 + 36 * q^52 - 46 * q^54 - 16 * q^55 + 12 * q^56 + 72 * q^57 - 10 * q^58 - 2 * q^61 - 28 * q^62 + 64 * q^63 - 8 * q^64 + 8 * q^65 - 4 * q^67 - 60 * q^68 - 24 * q^69 - 84 * q^71 + 72 * q^72 - 44 * q^73 - 14 * q^74 + 46 * q^75 - 56 * q^78 + 10 * q^79 + 204 * q^80 + 44 * q^81 - 52 * q^82 - 60 * q^84 + 22 * q^85 + 32 * q^86 + 16 * q^88 + 128 * q^89 - 66 * q^90 + 44 * q^91 + 136 * q^92 + 4 * q^95 - 2 * q^96 - 44 * q^97 + 208 * q^98 + 6 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/153\mathbb{Z}\right)^\times$.

$n$	$37$	$137$
$\chi(n)$	$e\left(\frac{3}{4}\right)$	$e\left(\frac{2}{3}\right)$

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 $

$2$	1.15506	+	0.666877i	0.816754	+	0.471553i	0.849296	−	0.527917i	$-0.177027\pi$
$2$	1.15506	+	0.666877i	0.816754	+	0.471553i	−0.0325421	+	0.999470i	$0.510360\pi$
$3$	−0.864115	−	1.50110i	−0.498897	−	0.866661i
$3$	−0.864115	−	1.50110i	−0.498897	−	0.866661i
$4$	−0.110551	−	0.191481i	−0.0552757	−	0.0957403i
$5$	0.203465	+	0.0545182i	0.0909923	+	0.0243813i	0.304028	−	0.952663i	$-0.401668\pi$
$5$	0.203465	+	0.0545182i	0.0909923	+	0.0243813i	−0.213036	+	0.977044i	$0.568335\pi$
$6$	0.00294161	−	2.31013i	0.00120091	−	0.943105i
$7$	3.60357	−	0.965572i	1.36202	−	0.364952i	0.497462	−	0.867486i	$-0.334265\pi$
$7$	3.60357	−	0.965572i	1.36202	−	0.364952i	0.864558	+	0.502534i	$0.167599\pi$
$8$		−	2.96240i		−	1.04737i
$9$	−1.50661	+	2.59425i	−0.502204	+	0.864749i
$10$	0.198658	+	0.198658i	0.0628212	+	0.0628212i
$11$	−0.162748	+	0.0436083i	−0.0490704	+	0.0131484i	−0.283271	−	0.959040i	$-0.591420\pi$
$11$	−0.162748	+	0.0436083i	−0.0490704	+	0.0131484i	0.234200	+	0.972188i	$0.424753\pi$
$12$	−0.191903	+	0.331410i	−0.0553975	+	0.0956698i
$13$	0.706706	+	1.22405i	0.196005	+	0.339491i	0.947230	−	0.320556i	$-0.103870\pi$
$13$	0.706706	+	1.22405i	0.196005	+	0.339491i	−0.751225	+	0.660047i	$0.770536\pi$
$14$	4.80627	+	1.28784i	1.28453	+	0.344188i
$15$	−0.0939796	−	0.352531i	−0.0242654	−	0.0910232i
$16$	1.75445	−	3.03880i	0.438614	−	0.759701i
$17$	−4.12302	+	0.0270617i	−0.999978	+	0.00656344i
$17$	−4.12302	+	0.0270617i	−0.999978	+	0.00656344i
$18$	−3.47028	+	1.99180i	−0.817952	+	0.469471i
$19$			5.28066i			1.21147i	0.795667	+	0.605734i	$0.207120\pi$
$19$			5.28066i			1.21147i	−0.795667	+	0.605734i	$0.792880\pi$
$20$	−0.0120541	−	0.0449866i	−0.00269539	−	0.0100593i
$21$	−4.56332	−	4.57495i	−0.995797	−	0.998336i
$22$	−0.217066	−	0.0581627i	−0.0462786	−	0.0124003i
$23$	−1.82018	+	6.79301i	−0.379534	+	1.41644i	0.467071	+	0.884220i	$0.345309\pi$
$23$	−1.82018	+	6.79301i	−0.379534	+	1.41644i	−0.846605	+	0.532221i	$0.821358\pi$
$24$	−4.44687	+	2.55986i	−0.907713	+	0.522528i
$25$	−4.29170	−	2.47781i	−0.858340	−	0.495563i
$26$			1.88514i			0.369707i
$27$	5.19611	+	0.0198496i	0.999993	+	0.00382005i
$28$	−0.583267	−	0.583267i	−0.110227	−	0.110227i
$29$	0.863336	+	3.22202i	0.160318	+	0.598313i	0.998591	+	0.0530634i	$0.0168985\pi$
$29$	0.863336	+	3.22202i	0.160318	+	0.598313i	−0.838274	+	0.545250i	$0.816435\pi$
$30$	0.126543	−	0.469869i	0.0231034	−	0.0857860i
$31$	6.79453	+	1.82059i	1.22033	+	0.326987i	0.810809	−	0.585311i	$-0.199028\pi$
$31$	6.79453	+	1.82059i	1.22033	+	0.326987i	0.409525	+	0.912299i	$0.365694\pi$
$32$	−1.07802	+	0.622394i	−0.190568	+	0.110025i
$33$	0.206094	+	0.206619i	0.0358763	+	0.0359678i
$34$	−4.78040	−	2.71829i	−0.819831	−	0.466182i
$35$	0.785840			0.132831
$36$	0.663306	+	0.00168925i	0.110551	+	0.000281542i
$37$	6.83838	−	6.83838i	1.12422	−	1.12422i	0.133124	−	0.991099i	$-0.457499\pi$
$37$	6.83838	−	6.83838i	1.12422	−	1.12422i	0.991099	−	0.133124i	$-0.0425007\pi$
$38$	−3.52155	+	6.09950i	−0.571271	+	0.989470i
$39$	1.22675	−	2.11856i	0.196437	−	0.339241i
$40$	0.161505	−	0.602745i	0.0255362	−	0.0953023i
$41$	−0.965717	+	3.60410i	−0.150820	+	0.562867i	0.848607	+	0.529023i	$0.177441\pi$
$41$	−0.965717	+	3.60410i	−0.150820	+	0.562867i	−0.999427	+	0.0338436i	$0.989225\pi$
$42$	−2.21999	−	8.32753i	−0.342553	−	1.28497i
$43$	−5.92513	−	3.42088i	−0.903574	−	0.521679i	−0.0252162	−	0.999682i	$-0.508027\pi$
$43$	−5.92513	−	3.42088i	−0.903574	−	0.521679i	−0.878358	+	0.478003i	$0.841361\pi$
$44$	0.0263422	+	0.0263422i	0.00397123	+	0.00397123i
$45$	−0.447976	+	0.445700i	−0.0667804	+	0.0664411i
$46$	−6.63253	+	6.63253i	−0.977913	+	0.977913i
$47$	1.01890	−	1.76479i	0.148622	−	0.257421i	−0.782096	−	0.623158i	$-0.785849\pi$
$47$	1.01890	−	1.76479i	0.148622	−	0.257421i	0.930719	+	0.365736i	$0.119183\pi$
$48$	−6.07760	−	0.00773894i	−0.877226	−	0.00111702i
$49$	5.99118	−	3.45901i	0.855882	−	0.494144i
$50$	−3.30479	−	5.72407i	−0.467368	−	0.809506i
$51$	3.60338	+	6.16568i	0.504574	+	0.863368i
$52$	0.156255	−	0.270641i	0.0216686	−	0.0375311i
$53$		−	6.04183i		−	0.829909i	−0.909842	−	0.414954i	$-0.863798\pi$
$53$		−	6.04183i		−	0.829909i	0.909842	−	0.414954i	$-0.136202\pi$
$54$	5.98861	+	3.48809i	0.814946	+	0.474670i
$55$	−0.0354910			−0.00478560
$56$	−2.86041	−	10.6752i	−0.382239	−	1.42654i
$57$	7.92681	−	4.56310i	1.04993	−	0.604397i
$58$	−1.15148	+	4.29737i	−0.151196	+	0.564273i
$59$	−0.580968	+	0.335422i	−0.0756355	+	0.0436682i	−0.537341	−	0.843365i	$-0.680571\pi$
$59$	−0.580968	+	0.335422i	−0.0756355	+	0.0436682i	0.461705	+	0.887033i	$0.347238\pi$
$60$	−0.0571133	+	0.0569681i	−0.00737330	+	0.00735455i
$61$	2.99203	−	0.801711i	0.383090	−	0.102649i	−0.0621342	−	0.998068i	$-0.519791\pi$
$61$	2.99203	−	0.801711i	0.383090	−	0.102649i	0.445224	+	0.895419i	$0.353124\pi$
$62$	6.63401	+	6.63401i	0.842520	+	0.842520i
$63$	−2.92424	+	10.8033i	−0.368420	+	1.36109i
$64$	−8.67806			−1.08476
$65$	0.0770567	+	0.287580i	0.00955771	+	0.0356699i
$66$	0.100262	+	0.376097i	0.0123414	+	0.0462944i
$67$	−2.21819	−	3.84202i	−0.270995	−	0.469377i	0.698122	−	0.715979i	$-0.254019\pi$
$67$	−2.21819	−	3.84202i	−0.270995	−	0.469377i	−0.969117	+	0.246602i	$0.920686\pi$
$68$	0.460987	+	0.786486i	0.0559029	+	0.0953754i
$69$	11.7698	−	3.13766i	1.41692	−	0.377730i
$70$	0.907696	+	0.524058i	0.108490	+	0.0626370i
$71$	−5.52395	+	5.52395i	−0.655572	+	0.655572i	−0.954329	−	0.298757i	$-0.903428\pi$
$71$	−5.52395	+	5.52395i	−0.655572	+	0.655572i	0.298757	+	0.954329i	$0.403428\pi$
$72$	7.68521	+	4.46319i	0.905710	+	0.525992i
$73$	−4.07769	+	4.07769i	−0.477257	+	0.477257i	−0.904253	−	0.426996i	$-0.859572\pi$
$73$	−4.07769	+	4.07769i	−0.477257	+	0.477257i	0.426996	+	0.904253i	$0.359572\pi$
$74$	12.4591	−	3.33841i	1.44834	−	0.388083i
$75$	−0.0109297	+	8.58340i	−0.00126205	+	0.991125i
$76$	1.01114	−	0.583784i	0.115986	−	0.0669647i
$77$	−0.544367	+	0.314290i	−0.0620364	+	0.0358167i
$78$	2.82979	−	1.62898i	0.320411	−	0.184446i
$79$	−1.30778	+	0.350417i	−0.147136	+	0.0394250i	−0.331635	−	0.943408i	$-0.607600\pi$
$79$	−1.30778	+	0.350417i	−0.147136	+	0.0394250i	0.184499	+	0.982833i	$0.440934\pi$
$80$	0.522640	−	0.522640i	0.0584329	−	0.0584329i
$81$	−4.46024	−	7.81705i	−0.495583	−	0.868561i
$82$	−3.51896	+	3.51896i	−0.388604	+	0.388604i
$83$	3.07278	+	1.77407i	0.337282	+	0.194730i	0.659069	−	0.752082i	$-0.270950\pi$
$83$	3.07278	+	1.77407i	0.337282	+	0.194730i	−0.321788	+	0.946812i	$0.604284\pi$
$84$	−0.371534	+	1.37955i	−0.0405376	+	0.150522i
$85$	−0.840364	−	0.219274i	−0.0911503	−	0.0237836i
$86$	−4.56261	−	7.90266i	−0.491998	−	0.852166i
$87$	4.09055	−	4.08015i	0.438553	−	0.437438i
$88$	0.129185	+	0.482126i	0.0137712	+	0.0513948i
$89$	−15.8264			−1.67759			−0.838797	−	0.544444i	$-0.816741\pi$
$89$	−15.8264			−1.67759			−0.838797	+	0.544444i	$0.816741\pi$
$90$	−0.814669	+	0.216068i	−0.0858736	+	0.0227755i
$91$	3.72857	+	3.72857i	0.390860	+	0.390860i
$92$	1.50195	−	0.402447i	0.156589	−	0.0419580i
$93$	−3.13836	−	11.7725i	−0.325433	−	1.22075i
$94$	2.35380	−	1.35897i	0.242776	−	0.140167i
$95$	−0.287893	+	1.07443i	−0.0295371	+	0.110234i
$96$	1.86581	+	1.08039i	0.190428	+	0.110267i
$97$	2.32204	+	8.66597i	0.235767	+	0.879895i	0.977801	+	0.209533i	$0.0671945\pi$
$97$	2.32204	+	8.66597i	0.235767	+	0.879895i	−0.742034	+	0.670362i	$0.766139\pi$
$98$	9.22692			0.932060
$99$	0.132068	−	0.487910i	0.0132733	−	0.0490368i
$100$			1.09570i			0.109570i
$101$	7.35059	−	12.7316i	0.731411	−	1.26684i	−0.224870	−	0.974389i	$-0.572196\pi$
$101$	7.35059	−	12.7316i	0.731411	−	1.26684i	0.956280	−	0.292452i	$-0.0944710\pi$
$102$	0.0503877	+	9.52477i	0.00498913	+	0.943093i
$103$	7.74773	+	13.4195i	0.763406	+	1.32226i	0.941085	+	0.338170i	$0.109808\pi$
$103$	7.74773	+	13.4195i	0.763406	+	1.32226i	−0.177679	+	0.984088i	$0.556859\pi$
$104$	3.62613	−	2.09355i	0.355571	−	0.205289i
$105$	−0.679056	−	1.17963i	−0.0662691	−	0.115120i
$106$	4.02915	−	6.97870i	0.391346	−	0.677831i
$107$	11.1012	−	11.1012i	1.07320	−	1.07320i	0.0760947	−	0.997101i	$-0.475755\pi$
$107$	11.1012	−	11.1012i	1.07320	−	1.07320i	0.997101	−	0.0760947i	$-0.0242451\pi$
$108$	−0.570637	−	0.997149i	−0.0549095	−	0.0959507i
$109$	−10.4007	−	10.4007i	−0.996204	−	0.996204i	0.00378912	−	0.999993i	$-0.498794\pi$
$109$	−10.4007	−	10.4007i	−0.996204	−	0.996204i	−0.999993	+	0.00378912i	$0.998794\pi$
$110$	−0.0409944	−	0.0236681i	−0.00390866	−	0.00225667i
$111$	−16.1743	−	4.35596i	−1.53519	−	0.413449i
$112$	3.38811	−	12.6446i	0.320146	−	1.19480i
$113$	3.62495	−	13.5285i	0.341006	−	1.27265i	−0.556203	−	0.831047i	$-0.687742\pi$
$113$	3.62495	−	13.5285i	0.341006	−	1.27265i	0.897209	−	0.441606i	$-0.145591\pi$
$114$	12.1990	+	0.0155337i	1.14254	+	0.00145486i
$115$	−0.740686	+	1.28291i	−0.0690693	+	0.119632i
$116$	0.521510	−	0.521510i	0.0484210	−	0.0484210i
$117$	−4.24022	−	0.0107986i	−0.392009	−	0.000998334i
$118$	−0.894740			−0.0823675
$119$	−14.8314	+	4.07859i	−1.35960	+	0.373884i
$120$	−1.04434	+	0.278405i	−0.0953348	+	0.0254148i
$121$	−9.50169	+	5.48581i	−0.863790	+	0.498710i
$122$	3.99063	+	1.06929i	0.361294	+	0.0968085i
$123$	6.24462	−	1.66472i	0.563058	−	0.150103i
$124$	−0.402537	−	1.50229i	−0.0361489	−	0.134910i
$125$	−1.48286	−	1.48286i	−0.132631	−	0.132631i
$126$	−10.5821	+	10.5284i	−0.942732	+	0.937942i
$127$		−	0.370683i		−	0.0328928i	−0.999865	−	0.0164464i	$-0.994765\pi$
$127$		−	0.370683i		−	0.0328928i	0.999865	−	0.0164464i	$-0.00523529\pi$
$128$	−7.86768	−	4.54240i	−0.695411	−	0.401496i
$129$	−0.0150896	+	11.8503i	−0.00132856	+	1.04336i
$130$	−0.102775	+	0.383560i	−0.00901393	+	0.0336405i
$131$	−2.51768	−	0.674611i	−0.219971	−	0.0589410i	0.147150	−	0.989114i	$-0.452990\pi$
$131$	−2.51768	−	0.674611i	−0.219971	−	0.0589410i	−0.367121	+	0.930173i	$0.619657\pi$
$132$	0.0167796	−	0.0623049i	0.00146048	−	0.00542295i
$133$	5.09886	+	19.0292i	0.442127	+	1.65004i
$134$		−	5.91703i		−	0.511154i
$135$	1.05614	+	0.287322i	0.0908985	+	0.0247287i
$136$	0.0801678	+	12.2140i	0.00687433	+	1.04734i
$137$	−5.56708	+	9.64246i	−0.475628	+	0.823811i	−0.999610	−	0.0279179i	$-0.991112\pi$
$137$	−5.56708	+	9.64246i	−0.475628	+	0.823811i	0.523983	+	0.851729i	$0.324446\pi$
$138$	15.6874	+	4.22483i	1.33540	+	0.359642i
$139$	−9.81876	−	2.63093i	−0.832816	−	0.223152i	−0.182874	−	0.983136i	$-0.558540\pi$
$139$	−9.81876	−	2.63093i	−0.832816	−	0.223152i	−0.649942	+	0.759984i	$0.725207\pi$
$140$	−0.0868757	−	0.150473i	−0.00734234	−	0.0127173i
$141$	−3.52958	−	0.00449441i	−0.297244	−	0.000378498i
$142$	−10.0643	+	2.69672i	−0.844578	+	0.226304i
$143$	−0.168394	−	0.168394i	−0.0140818	−	0.0140818i
$144$	5.24013	+	9.12979i	0.436677	+	0.760815i
$145$			0.702634i			0.0583506i
$146$	−7.42931	+	1.99068i	−0.614854	+	0.164750i
$147$	−10.3694	−	6.00438i	−0.855252	−	0.495233i
$148$	−2.06541	−	0.553425i	−0.169776	−	0.0454912i
$149$	−7.83470	−	13.5701i	−0.641843	−	1.11171i	−0.985021	−	0.172435i	$-0.944837\pi$
$149$	−7.83470	−	13.5701i	−0.641843	−	1.11171i	0.343178	−	0.939271i	$-0.388497\pi$
$150$	−5.73669	+	9.90708i	−0.468399	+	0.808910i
$151$	0.491938	+	0.284020i	0.0400333	+	0.0231132i	0.519883	−	0.854237i	$-0.325976\pi$
$151$	0.491938	+	0.284020i	0.0400333	+	0.0231132i	−0.479850	+	0.877351i	$0.659309\pi$
$152$	15.6435			1.26885
$153$	6.14158	−	10.7369i	0.496517	−	0.868027i
$154$	−0.838372			−0.0675579
$155$	1.28319	+	0.740852i	0.103069	+	0.0595067i
$156$	−0.541281		0.000689243i	−0.0433372		5.51836e-5i
$157$	4.92247	+	8.52597i	0.392856	+	0.680447i	0.992825	−	0.119577i	$-0.0381537\pi$
$157$	4.92247	+	8.52597i	0.392856	+	0.680447i	−0.599969	+	0.800023i	$0.704820\pi$
$158$	−1.74425	−	0.467370i	−0.138765	−	0.0371820i
$159$	−9.06939	+	5.22083i	−0.719250	+	0.414039i
$160$	−0.253271	+	0.0678636i	−0.0200228	+	0.00536509i
$161$			26.2366i			2.06773i
$162$	0.0611400	−	12.0036i	0.00480361	−	0.943094i
$163$	6.29369	+	6.29369i	0.492960	+	0.492960i	0.909237	−	0.416278i	$-0.136666\pi$
$163$	6.29369	+	6.29369i	0.492960	+	0.492960i	−0.416278	+	0.909237i	$0.636666\pi$
$164$	0.796877	−	0.213523i	0.0622257	−	0.0166733i
$165$	0.0306683	+	0.0532756i	0.00238752	+	0.00414750i
$166$	2.36617	+	4.09833i	0.183651	+	0.318092i
$167$	7.32340	+	1.96230i	0.566701	+	0.151847i	0.530783	−	0.847508i	$-0.321898\pi$
$167$	7.32340	+	1.96230i	0.566701	+	0.151847i	0.0359181	+	0.999355i	$0.488564\pi$
$168$	−13.5529	+	13.5184i	−1.04563	+	1.04297i
$169$	5.50113	−	9.52824i	0.423164	−	0.732942i
$170$	−0.824446	−	0.813694i	−0.0632322	−	0.0624075i
$171$	−13.6993	−	7.95591i	−1.04762	−	0.608404i
$172$			1.51273i			0.115345i
$173$	0.933690	+	3.48458i	0.0709872	+	0.264928i	0.992293	−	0.123910i	$-0.0395434\pi$
$173$	0.933690	+	3.48458i	0.0709872	+	0.264928i	−0.921306	+	0.388838i	$0.872877\pi$
$174$	7.44580	−	1.98494i	0.564465	−	0.150478i
$175$	−17.8579	−	4.78502i	−1.34993	−	0.361713i
$176$	−0.153017	+	0.571069i	−0.0115341	+	0.0430459i
$177$	1.00552	+	0.582249i	0.0755799	+	0.0437645i
$178$	−18.2805	−	10.5543i	−1.37018	−	0.791075i
$179$			5.94978i			0.444708i	0.974966	+	0.222354i	$0.0713740\pi$
$179$			5.94978i			0.444708i	−0.974966	+	0.222354i	$0.928626\pi$
$180$	0.134867	+	0.0365060i	0.0100524	+	0.00272099i
$181$	−10.2138	−	10.2138i	−0.759183	−	0.759183i	0.216991	−	0.976174i	$-0.430376\pi$
$181$	−10.2138	−	10.2138i	−0.759183	−	0.759183i	−0.976174	+	0.216991i	$0.930376\pi$
$182$	1.82024	+	6.79323i	0.134925	+	0.503548i
$183$	−3.78891	−	3.79857i	−0.280084	−	0.280798i
$184$	20.1236	+	5.39211i	1.48353	+	0.397512i
$185$	1.76419	−	1.01855i	0.129706	−	0.0748856i
$186$	4.22578	−	15.6909i	0.309849	−	1.15051i
$187$	0.669834	−	0.184202i	0.0489831	−	0.0134702i
$188$	−0.450564			−0.0328608
$189$	18.7437	−	4.94570i	1.36340	−	0.359746i
$190$	−1.04905	+	1.04905i	−0.0761058	+	0.0761058i
$191$	−3.81360	+	6.60535i	−0.275942	+	0.477946i	−0.970372	−	0.241614i	$-0.922323\pi$
$191$	−3.81360	+	6.60535i	−0.275942	+	0.477946i	0.694430	+	0.719560i	$0.255657\pi$
$192$	7.49884	+	13.0266i	0.541182	+	0.940117i
$193$	0.135883	−	0.507121i	0.00978105	−	0.0365034i	−0.960863	−	0.277025i	$-0.910652\pi$
$193$	0.135883	−	0.507121i	0.00978105	−	0.0365034i	0.970644	+	0.240521i	$0.0773183\pi$
$194$	−3.09703	+	11.5583i	−0.222353	+	0.829835i
$195$	0.365100	−	0.364172i	0.0261454	−	0.0260789i
$196$	−1.32466	−	0.764796i	−0.0946189	−	0.0546283i
$197$	−13.4803	−	13.4803i	−0.960430	−	0.960430i	0.0388165	−	0.999246i	$-0.487641\pi$
$197$	−13.4803	−	13.4803i	−0.960430	−	0.960430i	−0.999246	+	0.0388165i	$0.987641\pi$
$198$	0.477922	−	0.475494i	0.0339645	−	0.0337919i
$199$	15.0652	−	15.0652i	1.06795	−	1.06795i	0.0704282	−	0.997517i	$-0.477563\pi$
$199$	15.0652	−	15.0652i	1.06795	−	1.06795i	0.997517	−	0.0704282i	$-0.0224366\pi$
$200$	−7.34029	+	12.7137i	−0.519037	+	0.898998i
$201$	−3.85049	+	6.64967i	−0.271592	+	0.469031i
$202$	16.9808	−	9.80387i	1.19476	−	0.689798i
$203$	6.22218	+	10.7771i	0.436711	+	0.756406i
$204$	0.782249	−	1.37160i	0.0547684	−	0.0960313i
$205$	−0.392979	+	0.680660i	−0.0274468	+	0.0475393i
$206$			20.6671i			1.43995i
$207$	−14.8804	−	14.9564i	−1.03426	−	1.03954i
$208$	4.95953			0.343882
$209$	−0.230281	−	0.859419i	−0.0159288	−	0.0594472i
$210$	0.00231164	−	1.81539i	0.000159518	−	0.125274i
$211$	7.03571	−	26.2576i	0.484358	−	1.80765i	−0.0985760	−	0.995130i	$-0.531429\pi$
$211$	7.03571	−	26.2576i	0.484358	−	1.80765i	0.582934	−	0.812519i	$-0.301905\pi$
$212$	−1.15689	+	0.667932i	−0.0794557	+	0.0458737i
$213$	13.0653	+	3.51868i	0.895222	+	0.241096i
$214$	20.2258	−	5.41948i	1.38260	−	0.370468i
$215$	−1.01906	−	1.01906i	−0.0694991	−	0.0694991i
$216$	0.0588024	−	15.3930i	0.00400100	−	1.04736i
$217$	26.2424			1.78145
$218$	−5.07748	−	18.9494i	−0.343890	−	1.28342i
$219$	9.64462	+	2.59743i	0.651723	+	0.175518i
$220$	0.00392358	+	0.00679583i	0.000264527	+	0.000458175i
$221$	−2.94689	−	5.02766i	−0.198229	−	0.338197i
$222$	−15.7774	−	15.8176i	−1.05891	−	1.06161i
$223$	−18.2255	−	10.5225i	−1.22047	−	0.704638i	−0.255452	−	0.966822i	$-0.582224\pi$
$223$	−18.2255	−	10.5225i	−1.22047	−	0.704638i	−0.965018	+	0.262183i	$0.915557\pi$
$224$	−3.28374	+	3.28374i	−0.219404	+	0.219404i
$225$	12.8940	−	7.40063i	0.859600	−	0.493375i
$226$	13.2089	−	13.2089i	0.878641	−	0.878641i
$227$	13.8461	−	3.71004i	0.918995	−	0.246244i	0.231839	−	0.972754i	$-0.425526\pi$
$227$	13.8461	−	3.71004i	0.918995	−	0.246244i	0.687156	+	0.726510i	$0.258859\pi$
$228$	−1.75006	−	1.01337i	−0.115901	−	0.0671123i
$229$	−20.1226	+	11.6178i	−1.32974	+	0.767723i	−0.985259	−	0.171072i	$-0.945277\pi$
$229$	−20.1226	+	11.6178i	−1.32974	+	0.767723i	−0.344477	+	0.938795i	$0.611944\pi$
$230$	−1.71108	+	0.987892i	−0.112825	+	0.0651397i
$231$	0.942177	+	0.545567i	0.0619907	+	0.0358957i
$232$	9.54491	−	2.55755i	0.626654	−	0.167911i
$233$	17.8322	−	17.8322i	1.16823	−	1.16823i	0.185602	−	0.982625i	$-0.440576\pi$
$233$	17.8322	−	17.8322i	1.16823	−	1.16823i	0.982625	−	0.185602i	$-0.0594237\pi$
$234$	−4.89053	−	2.84018i	−0.319704	−	0.185668i
$235$	0.303524	−	0.303524i	0.0197997	−	0.0197997i
$236$	0.128453	+	0.0741627i	0.00836161	+	0.00482758i
$237$	1.65608	+	1.66030i	0.107574	+	0.107848i
$238$	−19.8512	−	5.17970i	−1.28676	−	0.335750i
$239$	12.6575	+	21.9234i	0.818746	+	1.41811i	0.906607	+	0.421977i	$0.138664\pi$
$239$	12.6575	+	21.9234i	0.818746	+	1.41811i	−0.0878604	+	0.996133i	$0.528003\pi$
$240$	−1.23616	−	0.332915i	−0.0797936	−	0.0214896i
$241$	7.37641	+	27.5291i	0.475156	+	1.77331i	0.620798	+	0.783970i	$0.286809\pi$
$241$	7.37641	+	27.5291i	0.475156	+	1.77331i	−0.145642	+	0.989337i	$0.546525\pi$
$242$	−14.6334			−0.940672
$243$	−7.88002	+	13.4501i	−0.505504	+	0.862824i
$244$	−0.484285	−	0.484285i	−0.0310032	−	0.0310032i
$245$	1.40757	−	0.377158i	0.0899265	−	0.0240957i
$246$	8.32310	+	2.24153i	0.530661	+	0.142915i
$247$	−6.46380	+	3.73188i	−0.411282	+	0.237454i
$248$	5.39332	−	20.1281i	0.342476	−	1.27814i
$249$	0.00782547	−	6.14556i	0.000495919	−	0.389459i
$250$	−0.723912	−	2.70168i	−0.0457842	−	0.170869i
$251$	22.9319			1.44745			0.723723	−	0.690090i	$-0.242429\pi$
$251$	22.9319			1.44745			0.723723	+	0.690090i	$0.242429\pi$
$252$	2.39190	−	0.634382i	0.150675	−	0.0399623i
$253$		−	1.18493i		−	0.0744956i
$254$	0.247200	−	0.428163i	0.0155107	−	0.0268653i
$255$	0.397019	+	1.45095i	0.0248623	+	0.0908620i
$256$	2.61961	+	4.53730i	0.163726	+	0.283581i
$257$	−7.44836	+	4.30031i	−0.464616	+	0.268246i	−0.713983	−	0.700163i	$-0.753111\pi$
$257$	−7.44836	+	4.30031i	−0.464616	+	0.268246i	0.249367	+	0.968409i	$0.419777\pi$
$258$	−7.92009	+	13.6777i	−0.493083	+	0.851539i
$259$	18.0396	−	31.2455i	1.12093	−	1.94150i
$260$	0.0465472	−	0.0465472i	0.00288673	−	0.00288673i
$261$	−9.65942	−	2.61462i	−0.597903	−	0.161841i
$262$	−2.45820	−	2.45820i	−0.151868	−	0.151868i
$263$	21.1728	+	12.2241i	1.30557	+	0.753770i	0.981353	−	0.192213i	$-0.0615666\pi$
$263$	21.1728	+	12.2241i	1.30557	+	0.753770i	0.324215	+	0.945983i	$0.394900\pi$
$264$	0.612089	−	0.610532i	0.0376715	−	0.0375757i
$265$	0.329390	−	1.22930i	0.0202342	−	0.0755152i
$266$	−6.80062	+	25.3803i	−0.416973	+	1.55616i
$267$	13.6758	+	23.7570i	0.836947	+	1.45391i
$268$	−0.490447	+	0.849480i	−0.0299588	+	0.0518902i
$269$	−7.74991	+	7.74991i	−0.472521	+	0.472521i	−0.902729	−	0.430209i	$-0.858440\pi$
$269$	−7.74991	+	7.74991i	−0.472521	+	0.472521i	0.430209	+	0.902729i	$0.358440\pi$
$270$	1.02831	+	1.03619i	0.0625807	+	0.0630607i
$271$	−9.92166			−0.602698			−0.301349	−	0.953514i	$-0.597437\pi$
$271$	−9.92166			−0.602698			−0.301349	+	0.953514i	$0.597437\pi$
$272$	−7.15141	+	12.5765i	−0.433618	+	0.762563i
$273$	2.37505	−	8.81888i	0.143745	−	0.533743i
$274$	−12.8607	+	7.42511i	−0.776941	+	0.448567i
$275$	0.806520	+	0.216106i	0.0486350	+	0.0130317i
$276$	−1.90197	−	1.90682i	−0.114485	−	0.114777i
$277$	6.22133	+	23.2183i	0.373803	+	1.39505i	0.855086	+	0.518487i	$0.173505\pi$
$277$	6.22133	+	23.2183i	0.373803	+	1.39505i	−0.481282	+	0.876566i	$0.659829\pi$
$278$	−9.58679	−	9.58679i	−0.574978	−	0.574978i
$279$	−14.9598	+	14.8838i	−0.895619	+	0.891068i
$280$		−	2.32798i		−	0.139123i
$281$	−6.00066	−	3.46448i	−0.357969	−	0.206674i	0.310220	−	0.950665i	$-0.399597\pi$
$281$	−6.00066	−	3.46448i	−0.357969	−	0.206674i	−0.668190	+	0.743991i	$0.732931\pi$
$282$	−4.07390	−	2.35899i	−0.242597	−	0.140476i
$283$	−2.72072	+	10.1538i	−0.161730	+	0.603584i	0.836705	+	0.547654i	$0.184479\pi$
$283$	−2.72072	+	10.1538i	−0.161730	+	0.603584i	−0.998435	+	0.0559298i	$0.982188\pi$
$284$	1.66841	+	0.447049i	0.0990018	+	0.0265274i
$285$	1.86160	−	0.496274i	0.110272	−	0.0293968i
$286$	−0.0822078	−	0.306804i	−0.00486105	−	0.0181417i
$287$			13.9201i			0.821677i
$288$	0.00951032	−	3.73435i	0.000560401	−	0.220049i
$289$	16.9985	−	0.223152i	0.999914	−	0.0131266i
$290$	−0.468570	+	0.811588i	−0.0275154	+	0.0476581i
$291$	11.0020	−	10.9740i	0.644948	−	0.643307i
$292$	1.23159	+	0.330004i	0.0720735	+	0.0193120i
$293$	0.926817	+	1.60529i	0.0541452	+	0.0937822i	0.891828	−	0.452375i	$-0.149423\pi$
$293$	0.926817	+	1.60529i	0.0541452	+	0.0937822i	−0.837682	+	0.546158i	$0.816090\pi$
$294$	−7.97312	−	13.8505i	−0.465002	−	0.807780i
$295$	−0.136493	+	0.0365732i	−0.00794694	+	0.00212938i
$296$	−20.2580	−	20.2580i	−1.17747	−	1.17747i
$297$	−0.846524	+	0.223363i	−0.0491203	+	0.0129608i
$298$		−	20.8991i		−	1.21065i
$299$	−9.60132	+	2.57267i	−0.555259	+	0.148781i
$300$	1.64476	−	0.946813i	0.0949603	−	0.0546643i
$301$	−24.6547	−	6.60621i	−1.42107	−	0.380776i
$302$	0.378813	+	0.656123i	0.0217982	+	0.0377556i
$303$	−25.4632	−	0.0324236i	−1.46282	−	0.00186269i
$304$	16.0469	+	9.26468i	0.920353	+	0.531366i
$305$	0.652480			0.0373609
$306$	14.2541	−	8.30613i	0.814853	−	0.474830i
$307$	2.47808			0.141431			0.0707157	−	0.997497i	$-0.477472\pi$
$307$	2.47808			0.141431			0.0707157	+	0.997497i	$0.477472\pi$
$308$	0.120361	+	0.0694904i	0.00685820	+	0.00395959i
$309$	13.4490	−	23.2261i	0.765089	−	1.32128i
$310$	0.988113	+	1.71146i	0.0561211	+	0.0972045i
$311$	−0.293086	−	0.0785321i	−0.0166194	−	0.00445315i	0.250500	−	0.968117i	$-0.419405\pi$
$311$	−0.293086	−	0.0785321i	−0.0166194	−	0.00445315i	−0.267119	+	0.963664i	$0.586072\pi$
$312$	−6.27602	−	3.63413i	−0.355310	−	0.205742i
$313$	−7.64730	+	2.04909i	−0.432251	+	0.115821i	−0.468383	−	0.883526i	$-0.655163\pi$
$313$	−7.64730	+	2.04909i	−0.432251	+	0.115821i	0.0361315	+	0.999347i	$0.488496\pi$
$314$			13.1307i			0.741010i
$315$	−1.18396	+	2.03866i	−0.0667084	+	0.114866i
$316$	0.211674	+	0.211674i	0.0119076	+	0.0119076i
$317$	14.4836	−	3.88088i	0.813482	−	0.217972i	0.171987	−	0.985099i	$-0.444981\pi$
$317$	14.4836	−	3.88088i	0.813482	−	0.217972i	0.641495	+	0.767127i	$0.278315\pi$
$318$	−13.9574	−	0.0177727i	−0.782691	−	0.000996643i
$319$	−0.281013	−	0.486729i	−0.0157337	−	0.0272516i
$320$	−1.76568	−	0.473112i	−0.0987045	−	0.0264478i
$321$	−26.2568	−	7.07133i	−1.46551	−	0.394683i
$322$	−17.4966	+	30.3049i	−0.975045	+	1.68883i
$323$	−0.142904	−	21.7723i	−0.00795139	−	1.21144i
$324$	−1.00373	+	1.71823i	−0.0557626	+	0.0954575i
$325$		−	7.00435i		−	0.388531i
$326$	3.07250	+	11.4667i	0.170170	+	0.635083i
$327$	−6.62509	+	24.5998i	−0.366368	+	1.36037i
$328$	10.6768	+	2.86084i	0.589528	+	0.157964i
$329$	1.96765	−	7.34337i	0.108480	−	0.404853i
$330$	−0.000104401		0.0819887i	−5.74707e−6		0.00451333i
$331$	6.97954	+	4.02964i	0.383630	+	0.221489i	0.679397	−	0.733771i	$-0.262242\pi$
$331$	6.97954	+	4.02964i	0.383630	+	0.221489i	−0.295766	+	0.955260i	$0.595575\pi$
$332$		−	0.784504i		−	0.0430552i
$333$	7.43767	+	28.0432i	0.407582	+	1.53676i
$334$	7.15038	+	7.15038i	0.391251	+	0.391251i
$335$	−0.241864	−	0.902647i	−0.0132144	−	0.0493169i
$336$	−21.9085	+	5.84048i	−1.19521	+	0.318624i
$337$	4.03263	+	1.08054i	0.219671	+	0.0588608i	0.366976	−	0.930230i	$-0.380393\pi$
$337$	4.03263	+	1.08054i	0.219671	+	0.0588608i	−0.147305	+	0.989091i	$0.547060\pi$
$338$	12.7083	−	7.33715i	0.691242	−	0.399089i
$339$	−23.4400	+	6.24875i	−1.27309	+	0.339386i
$340$	0.0509168	+	0.185154i	0.00276135	+	0.0100414i
$341$	−1.18519			−0.0641817
$342$	−10.5180	−	18.3254i	−0.568749	−	0.990922i
$343$	−0.216280	+	0.216280i	−0.0116780	+	0.0116780i
$344$	−10.1340	+	17.5526i	−0.546389	+	0.946374i
$345$	2.56581	+	0.00326719i	0.138139	+	0.000175899i
$346$	−1.24531	+	4.64757i	−0.0669484	+	0.249855i
$347$	−1.65151	+	6.16352i	−0.0886578	+	0.330875i	−0.995982	−	0.0895570i	$-0.971455\pi$
$347$	−1.65151	+	6.16352i	−0.0886578	+	0.330875i	0.907324	+	0.420432i	$0.138122\pi$
$348$	−1.23348	−	0.332195i	−0.0661217	−	0.0178075i
$349$	14.6553	+	8.46127i	0.784482	+	0.452921i	0.838017	−	0.545645i	$-0.183715\pi$
$349$	14.6553	+	8.46127i	0.784482	+	0.452921i	−0.0535341	+	0.998566i	$0.517049\pi$
$350$	−17.4360	−	17.4360i	−0.931996	−	0.931996i
$351$	3.64783	+	6.37433i	0.194707	+	0.340237i
$352$	0.148304	−	0.148304i	0.00790463	−	0.00790463i
$353$	10.6249	−	18.4029i	0.565507	−	0.979486i	−0.431496	−	0.902115i	$-0.642014\pi$
$353$	10.6249	−	18.4029i	0.565507	−	0.979486i	0.997002	−	0.0773711i	$-0.0246526\pi$
$354$	0.773158	+	1.34310i	0.0410929	+	0.0713847i
$355$	−1.42508	+	0.822773i	−0.0756357	+	0.0436683i
$356$	1.74963	+	3.03045i	0.0927302	+	0.160613i
$357$	18.9384	+	18.7391i	1.00233	+	0.991779i
$358$	−3.96777	+	6.87238i	−0.209703	+	0.363217i
$359$		−	12.4405i		−	0.656585i	−0.944576	−	0.328292i	$-0.893527\pi$
$359$		−	12.4405i		−	0.656585i	0.944576	−	0.328292i	$-0.106473\pi$
$360$	1.32034	+	1.32709i	0.0695882	+	0.0699436i
$361$	−8.88541			−0.467653
$362$	−4.98623	−	18.6089i	−0.262071	−	0.978060i
$363$	16.4453	+	9.52264i	0.863155	+	0.499809i
$364$	0.301750	−	1.12615i	0.0158160	−	0.0590261i
$365$	−1.05197	+	0.607358i	−0.0550629	+	0.0317906i
$366$	−1.84325	−	6.91432i	−0.0963484	−	0.361417i
$367$	2.14755	−	0.575434i	0.112101	−	0.0300374i	−0.202332	−	0.979317i	$-0.564852\pi$
$367$	2.14755	−	0.575434i	0.112101	−	0.0300374i	0.314434	+	0.949279i	$0.398185\pi$
$368$	17.4492	+	17.4492i	0.909603	+	0.909603i
$369$	−7.89498	−	7.93530i	−0.410996	−	0.413095i
$370$	2.71700			0.141250
$371$	−5.83382	−	21.7721i	−0.302877	−	1.13035i
$372$	−1.90725	+	1.90240i	−0.0988863	+	0.0986348i
$373$	0.870398	+	1.50757i	0.0450675	+	0.0780592i	0.887679	−	0.460462i	$-0.152316\pi$
$373$	0.870398	+	1.50757i	0.0450675	+	0.0780592i	−0.842612	+	0.538522i	$0.818983\pi$
$374$	0.896541	+	0.233931i	0.0463590	+	0.0120963i
$375$	−0.944561	+	3.50728i	−0.0487769	+	0.181115i
$376$	−5.22803	−	3.01840i	−0.269615	−	0.155662i
$377$	−3.33378	+	3.33378i	−0.171699	+	0.171699i
$378$	24.9483	+	6.78714i	1.28320	+	0.349093i
$379$	−21.5308	+	21.5308i	−1.10596	+	1.10596i	−0.112289	+	0.993676i	$0.535818\pi$
$379$	−21.5308	+	21.5308i	−1.10596	+	1.10596i	−0.993676	+	0.112289i	$0.964182\pi$
$380$	0.237559	−	0.0636538i	0.0121865	−	0.00326537i
$381$	−0.556433	+	0.320313i	−0.0285069	+	0.0164101i
$382$	−8.80991	+	5.08640i	−0.450754	+	0.260243i
$383$	11.7895	−	6.80666i	0.602415	−	0.347804i	−0.167576	−	0.985859i	$-0.553594\pi$
$383$	11.7895	−	6.80666i	0.602415	−	0.347804i	0.769991	+	0.638055i	$0.220261\pi$
$384$	−0.0200367	+	15.7353i	−0.00102249	+	0.802991i
$385$	−0.127894	+	0.0342691i	−0.00651809	+	0.00174652i
$386$	0.495140	−	0.495140i	0.0252020	−	0.0252020i
$387$	17.8015	−	10.2173i	0.904900	−	0.519376i
$388$	1.40266	−	1.40266i	0.0712092	−	0.0712092i
$389$	−26.2082	−	15.1313i	−1.32881	−	0.767187i	−0.343692	−	0.939082i	$-0.611678\pi$
$389$	−26.2082	−	15.1313i	−1.32881	−	0.767187i	−0.985115	+	0.171895i	$0.945011\pi$
$390$	0.664572	−	0.177165i	0.0336519	−	0.00897109i
$391$	7.32081	−	28.0570i	0.370229	−	1.41890i
$392$	−10.2470	−	17.7483i	−0.517550	−	0.896423i
$393$	1.16291	+	4.36224i	0.0586609	+	0.220046i
$394$	−6.58090	−	24.5603i	−0.331541	−	1.23733i
$395$	−0.285190			−0.0143495
$396$	−0.108026	+	0.0286507i	−0.00542849	+	0.00143975i
$397$	3.67871	+	3.67871i	0.184629	+	0.184629i	0.793370	−	0.608740i	$-0.208325\pi$
$397$	3.67871	+	3.67871i	0.184629	+	0.184629i	−0.608740	+	0.793370i	$0.708325\pi$
$398$	27.4479	−	7.35465i	1.37584	−	0.368655i
$399$	24.1588	−	24.0973i	1.20945	−	1.20638i
$400$	−15.0592	+	8.69443i	−0.752959	+	0.434721i
$401$	−7.60705	+	28.3899i	−0.379878	+	1.41772i	0.466207	+	0.884676i	$0.345620\pi$
$401$	−7.60705	+	28.3899i	−0.379878	+	1.41772i	−0.846085	+	0.533048i	$0.821046\pi$
$402$	−8.88207	+	5.11299i	−0.442997	+	0.255013i
$403$	2.57324	+	9.60347i	0.128182	+	0.478383i
$404$	−3.25047			−0.161717
$405$	−0.481331	−	1.83366i	−0.0239175	−	0.0911153i
$406$			16.5977i			0.823730i
$407$	−0.814725	+	1.41114i	−0.0403844	+	0.0699478i
$408$	18.2652	−	10.6747i	0.904264	−	0.528475i
$409$	−6.22602	−	10.7838i	−0.307857	−	0.533224i	0.670036	−	0.742328i	$-0.266279\pi$
$409$	−6.22602	−	10.7838i	−0.307857	−	0.533224i	−0.977893	+	0.209104i	$0.932945\pi$
$410$	−0.907832	+	0.524137i	−0.0448346	+	0.0258853i
$411$	19.2849	+	0.0245565i	0.951254	+	0.00121128i
$412$	1.71304	−	2.96708i	0.0843955	−	0.146177i
$413$	−1.76968	+	1.76968i	−0.0870803	+	0.0870803i
$414$	−7.21377	−	27.1991i	−0.354538	−	1.33676i
$415$	0.528484	+	0.528484i	0.0259422	+	0.0259422i
$416$	−1.52368	−	0.879699i	−0.0747047	−	0.0431308i
$417$	4.53524	+	17.0124i	0.222092	+	0.833100i
$418$	0.307137	−	1.14625i	0.0150226	−	0.0560650i
$419$	6.06633	−	22.6398i	0.296360	−	1.10603i	−0.643772	−	0.765217i	$-0.722632\pi$
$419$	6.06633	−	22.6398i	0.296360	−	1.10603i	0.940132	−	0.340812i	$-0.110702\pi$
$420$	−0.150805	+	0.260435i	−0.00735852	+	0.0127079i
$421$	−18.8404	+	32.6325i	−0.918223	+	1.59041i	−0.116110	+	0.993236i	$0.537043\pi$
$421$	−18.8404	+	32.6325i	−0.918223	+	1.59041i	−0.802113	+	0.597172i	$0.796291\pi$
$422$	25.6373	−	25.6373i	1.24800	−	1.24800i
$423$	3.04322	+	5.30214i	0.147966	+	0.257799i
$424$	−17.8983			−0.869219
$425$	17.7618	+	10.0999i	0.861574	+	0.489919i
$426$	12.7448	+	12.7773i	0.617486	+	0.619060i
$427$	10.0079	−	5.77804i	0.484314	−	0.279619i
$428$	−3.35292	−	0.898413i	−0.162070	−	0.0434264i
$429$	−0.107265	+	0.398288i	−0.00517879	+	0.0192295i
$430$	−0.497490	−	1.85666i	−0.0239911	−	0.0895361i
$431$	7.01607	+	7.01607i	0.337952	+	0.337952i	0.855596	−	0.517644i	$-0.173191\pi$
$431$	7.01607	+	7.01607i	0.337952	+	0.337952i	−0.517644	+	0.855596i	$0.673191\pi$
$432$	9.17666	−	15.7551i	0.441512	−	0.758020i
$433$		−	13.7702i		−	0.661756i	−0.943674	−	0.330878i	$-0.892655\pi$
$433$		−	13.7702i		−	0.661756i	0.943674	−	0.330878i	$-0.107345\pi$
$434$	30.3117	+	17.5005i	1.45501	+	0.840050i
$435$	1.05473	−	0.607157i	0.0505702	−	0.0291109i
$436$	−0.841718	+	3.14133i	−0.0403110	+	0.150443i
$437$	−35.8716	−	9.61177i	−1.71597	−	0.459793i
$438$	9.40798	+	9.43197i	0.449531	+	0.450677i
$439$	3.14401	+	11.7336i	0.150056	+	0.560015i	0.999478	+	0.0323018i	$0.0102838\pi$
$439$	3.14401	+	11.7336i	0.150056	+	0.560015i	−0.849423	+	0.527713i	$0.823050\pi$
$440$			0.105139i			0.00501229i
$441$	−0.0528544	+	20.7540i	−0.00251688	+	0.988284i
$442$	−0.0510152	−	7.77247i	−0.00242655	−	0.369699i
$443$	17.4660	−	30.2520i	0.829835	−	1.43732i	−0.0683324	−	0.997663i	$-0.521768\pi$
$443$	17.4660	−	30.2520i	0.829835	−	1.43732i	0.898167	−	0.439654i	$-0.144899\pi$
$444$	0.954004	+	3.57861i	0.0452750	+	0.169833i
$445$	−3.22012	−	0.862827i	−0.152648	−	0.0409019i
$446$	−14.0344	−	24.3083i	−0.664549	−	1.15103i
$447$	−13.6000	+	23.4868i	−0.643258	+	1.11089i
$448$	−31.2719	+	8.37929i	−1.47746	+	0.395884i
$449$	4.84668	+	4.84668i	0.228729	+	0.228729i	0.812162	−	0.583433i	$-0.198291\pi$
$449$	4.84668	+	4.84668i	0.228729	+	0.228729i	−0.583433	+	0.812162i	$0.698291\pi$
$450$	19.8287	+	0.0504980i	0.934734	+	0.00238050i
$451$		−	0.628675i		−	0.0296031i
$452$	−2.99118	+	0.801485i	−0.140693	+	0.0376987i
$453$	0.00125282	−	0.983874i	5.88627e−5	−	0.0462264i
$454$	18.4672	+	4.94827i	0.866709	+	0.232234i
$455$	0.555358	+	0.961908i	0.0260356	+	0.0450950i
$456$	−13.5177	−	23.4824i	−0.633026	−	1.09966i
$457$	−17.7446	−	10.2448i	−0.830056	−	0.479233i	0.0238158	−	0.999716i	$-0.492418\pi$
$457$	−17.7446	−	10.2448i	−0.830056	−	0.479233i	−0.853872	+	0.520483i	$0.825752\pi$
$458$	−30.9904			−1.44809
$459$	−21.4242	+	0.0587758i	−0.999996	+	0.00274342i
$460$	0.327535			0.0152714
$461$	11.3518	+	6.55396i	0.528706	+	0.305248i	0.740489	−	0.672068i	$-0.234594\pi$
$461$	11.3518	+	6.55396i	0.528706	+	0.305248i	−0.211784	+	0.977317i	$0.567927\pi$
$462$	0.724449	+	1.25848i	0.0337044	+	0.0585498i
$463$	−8.92097	−	15.4516i	−0.414593	−	0.718096i	0.580793	−	0.814051i	$-0.302743\pi$
$463$	−8.92097	−	15.4516i	−0.414593	−	0.718096i	−0.995386	+	0.0959556i	$0.969409\pi$
$464$	11.3058	+	3.02937i	0.524857	+	0.140635i
$465$	0.00326792	−	2.56638i	0.000151546	−	0.119013i
$466$	32.4892	−	8.70547i	1.50503	−	0.403273i
$467$			24.8641i			1.15058i	0.817951	+	0.575288i	$0.195110\pi$
$467$			24.8641i			1.15058i	−0.817951	+	0.575288i	$0.804890\pi$
$468$	0.466694	+	0.813114i	0.0215730	+	0.0375862i
$469$	−11.7031	−	11.7031i	−0.540400	−	0.540400i
$470$	0.553003	−	0.148177i	0.0255081	−	0.00683489i
$471$	8.54477	−	14.7566i	0.393722	−	0.679946i
$472$	0.993654	+	1.72106i	0.0457367	+	0.0792182i
$473$	1.11348	+	0.298357i	0.0511980	+	0.0137185i
$474$	0.805661	+	3.02216i	0.0370053	+	0.138812i
$475$	13.0845	−	22.6630i	0.600358	−	1.03985i
$476$	2.42060	+	2.38904i	0.110948	+	0.109501i
$477$	15.6740	+	9.10268i	0.717663	+	0.416783i
$478$			33.7640i			1.54433i
$479$	−6.47337	−	24.1589i	−0.295776	−	1.10385i	−0.940599	−	0.339518i	$-0.889736\pi$
$479$	−6.47337	−	24.1589i	−0.295776	−	1.10385i	0.644824	−	0.764331i	$-0.276931\pi$
$480$	0.320725	+	0.321543i	0.0146390	+	0.0146764i
$481$	13.2032	+	3.53780i	0.602016	+	0.161310i
$482$	−9.83831	+	36.7171i	−0.448123	+	1.67242i
$483$	39.3838	−	22.6714i	1.79202	−	1.03158i
$484$	2.10085	+	1.21293i	0.0954932	+	0.0551330i
$485$			1.88981i			0.0858120i
$486$	−18.0715	+	10.2807i	−0.819739	+	0.466343i
$487$	−12.2325	−	12.2325i	−0.554308	−	0.554308i	0.373373	−	0.927681i	$-0.378201\pi$
$487$	−12.2325	−	12.2325i	−0.554308	−	0.554308i	−0.927681	+	0.373373i	$0.878201\pi$
$488$	−2.37499	−	8.86359i	−0.107511	−	0.401236i
$489$	4.00900	−	14.8859i	0.181293	−	0.673165i
$490$	1.87735	+	0.503036i	0.0848102	+	0.0227248i
$491$	−5.79286	+	3.34451i	−0.261428	+	0.150936i	−0.624986	−	0.780636i	$-0.714895\pi$
$491$	−5.79286	+	3.34451i	−0.261428	+	0.150936i	0.363558	+	0.931572i	$0.381562\pi$
$492$	−1.00911	−	1.01169i	−0.0454943	−	0.0456103i
$493$	−3.64674	−	13.2611i	−0.164241	−	0.597248i
$494$	−9.95480			−0.447888
$495$	0.0534711	−	0.0920724i	0.00240335	−	0.00413835i
$496$	17.4531	−	17.4531i	0.783668	−	0.783668i
$497$	−14.5721	+	25.2397i	−0.653649	+	1.13215i
$498$	4.10737	−	7.09329i	0.184056	−	0.317858i
$499$	3.07856	−	11.4893i	0.137815	−	0.514334i	−0.862155	−	0.506644i	$-0.830886\pi$
$499$	3.07856	−	11.4893i	0.137815	−	0.514334i	0.999970	−	0.00768931i	$-0.00244761\pi$
$500$	−0.120006	+	0.447870i	−0.00536685	+	0.0200294i
$501$	−3.38265	−	12.6888i	−0.151125	−	0.566894i
$502$	26.4878	+	15.2927i	1.18221	+	0.682548i
$503$	5.14169	+	5.14169i	0.229257	+	0.229257i	0.812382	−	0.583125i	$-0.198170\pi$
$503$	5.14169	+	5.14169i	0.229257	+	0.229257i	−0.583125	+	0.812382i	$0.698170\pi$
$504$	32.0037	+	8.66277i	1.42556	+	0.385871i
$505$	2.18969	−	2.18969i	0.0974399	−	0.0974399i
$506$	0.790199	−	1.36866i	0.0351286	−	0.0608446i
$507$	−19.0565	−	0.0242656i	−0.846328	−	0.00107768i
$508$	−0.0709786	+	0.0409795i	−0.00314916	+	0.00181817i
$509$	−3.49778	−	6.05834i	−0.155036	−	0.268531i	0.778036	−	0.628220i	$-0.216216\pi$
$509$	−3.49778	−	6.05834i	−0.155036	−	0.268531i	−0.933072	+	0.359689i	$0.882883\pi$
$510$	−0.509022	+	1.94070i	−0.0225399	+	0.0859358i
$511$	−10.7569	+	18.6315i	−0.475858	+	0.824210i
$512$			25.1574i			1.11181i
$513$	−0.104819	+	27.4389i	−0.00462787	+	1.21146i
$514$	−11.4711			−0.505969
$515$	0.844785	+	3.15278i	0.0372257	+	0.138928i
$516$	2.27076	−	1.30717i	0.0999647	−	0.0575450i
$517$	−0.0888652	+	0.331649i	−0.00390829	+	0.0145859i
$518$	41.6738	−	24.0604i	1.83104	−	1.05715i
$519$	4.42389	−	4.41264i	0.194187	−	0.193693i
$520$	0.851927	−	0.228273i	0.0373595	−	0.0100104i
$521$	−5.20499	−	5.20499i	−0.228035	−	0.228035i	0.583837	−	0.811871i	$-0.301551\pi$
$521$	−5.20499	−	5.20499i	−0.228035	−	0.228035i	−0.811871	+	0.583837i	$0.801551\pi$
$522$	−9.41362	−	9.46169i	−0.412023	−	0.414127i
$523$	−26.8971			−1.17613			−0.588065	−	0.808814i	$-0.700110\pi$
$523$	−26.8971			−1.17613			−0.588065	+	0.808814i	$0.700110\pi$
$524$	0.149158	+	0.556666i	0.00651601	+	0.0243181i
$525$	8.24850	+	30.9414i	0.359994	+	1.35039i
$526$	16.3039	+	28.2392i	0.710885	+	1.23129i
$527$	−28.0632	−	7.32245i	−1.22245	−	0.318971i
$528$	0.989457	−	0.263774i	0.0430606	−	0.0114793i
$529$	−22.9134	−	13.2290i	−0.996233	−	0.575175i
$530$	1.20026	−	1.20026i	0.0521358	−	0.0521358i
$531$	0.00512532	−	2.01252i	0.000222420	−	0.0873361i
$532$	3.08004	−	3.08004i	0.133537	−	0.133537i
$533$	−5.09408	+	1.36496i	−0.220649	+	0.0591228i
$534$	−0.0465551	+	36.5610i	−0.00201464	+	1.58215i
$535$	2.86393	−	1.65349i	0.123818	−	0.0714866i
$536$	−11.3816	+	6.57117i	−0.491610	+	0.283831i
$537$	8.93123	−	5.14130i	0.385411	−	0.221863i
$538$	−14.1199	+	3.78341i	−0.608751	+	0.163114i
$539$	−0.824212	+	0.824212i	−0.0355013	+	0.0355013i
$540$	−0.0617417	−	0.233995i	−0.00265694	−	0.0100695i
$541$	−0.960273	+	0.960273i	−0.0412854	+	0.0412854i	−0.727448	−	0.686163i	$-0.759294\pi$
$541$	−0.960273	+	0.960273i	−0.0412854	+	0.0412854i	0.686163	+	0.727448i	$0.259294\pi$
$542$	−11.4602	−	6.61653i	−0.492256	−	0.284204i
$543$	−6.50603	+	24.1578i	−0.279201	+	1.03671i
$544$	4.42784	−	2.59531i	0.189842	−	0.111273i
$545$	−1.54914	−	2.68320i	−0.0663581	−	0.114936i
$546$	8.62444	−	8.60250i	0.369092	−	0.368153i
$547$	−6.59064	−	24.5966i	−0.281796	−	1.05168i	−0.951149	−	0.308732i	$-0.900096\pi$
$547$	−6.59064	−	24.5966i	−0.281796	−	1.05168i	0.669354	−	0.742944i	$-0.266571\pi$
$548$	2.46179			0.105163
$549$	−2.42799	+	8.96993i	−0.103624	+	0.382827i
$550$	0.787466	+	0.787466i	0.0335777	+	0.0335777i
$551$	−17.0144	+	4.55899i	−0.724837	+	0.194219i
$552$	−9.29502	−	34.8670i	−0.395622	−	1.48404i
$553$	−4.37430	+	2.52550i	−0.186014	+	0.107395i
$554$	−8.29771	+	30.9675i	−0.352536	+	1.31568i
$555$	−3.05341	−	1.76808i	−0.129610	−	0.0750507i
$556$	0.581705	+	2.17095i	0.0246698	+	0.0920690i
$557$	25.8012			1.09323			0.546616	−	0.837384i	$-0.315916\pi$
$557$	25.8012			1.09323			0.546616	+	0.837384i	$0.315916\pi$
$558$	−27.2051	+	7.21539i	−1.15169	+	0.305452i
$559$		−	9.67022i		−	0.409007i
$560$	1.37872	−	2.38801i	0.0582616	−	0.100912i
$561$	−0.855319	−	0.846317i	−0.0361116	−	0.0357315i
$562$	−4.62077	−	8.00340i	−0.194915	−	0.337603i
$563$	8.72945	−	5.03995i	0.367902	−	0.212409i	−0.304639	−	0.952468i	$-0.598536\pi$
$563$	8.72945	−	5.03995i	0.367902	−	0.212409i	0.672542	+	0.740059i	$0.265203\pi$
$564$	0.389339	+	0.676343i	0.0163941	+	0.0284792i
$565$	1.47510	−	2.55495i	0.0620579	−	0.107487i
$566$	−9.91397	+	9.91397i	−0.416715	+	0.416715i
$567$	−23.6207	−	23.8626i	−0.991976	−	1.00213i
$568$	16.3642	+	16.3642i	0.686625	+	0.686625i
$569$	−33.2481	−	19.1958i	−1.39383	−	0.804730i	−0.400096	−	0.916473i	$-0.631023\pi$
$569$	−33.2481	−	19.1958i	−1.39383	−	0.804730i	−0.993737	+	0.111743i	$0.964357\pi$
$570$	2.48122	+	0.668229i	0.103927	+	0.0279890i
$571$	1.31588	−	4.91094i	0.0550680	−	0.205516i	−0.932910	−	0.360108i	$-0.882740\pi$
$571$	1.31588	−	4.91094i	0.0550680	−	0.205516i	0.987978	+	0.154592i	$0.0494063\pi$
$572$	−0.0136280	+	0.0508603i	−0.000569814	+	0.00212658i
$573$	13.2107	+	0.0168219i	0.551885	+	0.000702745i
$574$	−9.28299	+	16.0786i	−0.387464	+	0.671108i
$575$	24.6435	−	24.6435i	1.02771	−	1.02771i
$576$	13.0745	−	22.5130i	0.544769	−	0.938043i
$577$	15.5111			0.645734			0.322867	−	0.946444i	$-0.395353\pi$
$577$	15.5111			0.645734			0.322867	+	0.946444i	$0.395353\pi$
$578$	19.7832	+	11.0782i	0.822873	+	0.460791i
$579$	−0.878659	+	0.234237i	−0.0365158	+	0.00973456i
$580$	0.134541	−	0.0776772i	0.00558650	−	0.00322537i
$581$	12.7860	+	3.42599i	0.530451	+	0.142134i
$582$	20.0263	−	5.33871i	0.830117	−	0.221297i
$583$	0.263473	+	0.983296i	0.0109120	+	0.0407240i
$584$	12.0798	+	12.0798i	0.499864	+	0.499864i
$585$	−0.862147	−	0.233367i	−0.0356454	−	0.00964852i
$586$			2.47229i			0.102129i
$587$	19.4261	+	11.2157i	0.801801	+	0.462920i	0.844101	−	0.536185i	$-0.180135\pi$
$587$	19.4261	+	11.2157i	0.801801	+	0.462920i	−0.0422994	+	0.999105i	$0.513468\pi$
$588$	−0.00337353	+	2.64933i	−0.000139122	+	0.109256i
$589$	−9.61392	+	35.8796i	−0.396135	+	1.47839i
$590$	−0.182048	−	0.0487796i	−0.00749480	−	0.00200823i
$591$	−8.58676	+	31.8838i	−0.353212	+	1.31152i
$592$	−8.78287	−	32.7781i	−0.360974	−	1.34717i
$593$		−	29.6938i		−	1.21938i	−0.792640	−	0.609690i	$-0.791294\pi$
$593$		−	29.6938i		−	1.21938i	0.792640	−	0.609690i	$-0.208706\pi$
$594$	−1.12675	−	0.306528i	−0.0462309	−	0.0125770i
$595$	−3.24003	+	0.0212662i	−0.132828	+	0.000871829i
$596$	−1.73227	+	3.00038i	−0.0709566	+	0.122900i
$597$	−35.6325	−	9.59635i	−1.45834	−	0.392752i
$598$	−12.8058	−	3.43130i	−0.523668	−	0.140316i
$599$	2.71859	+	4.70873i	0.111078	+	0.192393i	0.916205	−	0.400709i	$-0.131236\pi$
$599$	2.71859	+	4.70873i	0.111078	+	0.192393i	−0.805127	+	0.593103i	$0.797903\pi$
$600$	25.4275	+	0.0323782i	1.03807	+	0.00132183i
$601$	−13.6625	+	3.66085i	−0.557304	+	0.149329i	−0.526468	−	0.850195i	$-0.676484\pi$
$601$	−13.6625	+	3.66085i	−0.557304	+	0.149329i	−0.0308368	+	0.999524i	$0.509817\pi$
$602$	−24.0722	−	24.0722i	−0.981111	−	0.981111i
$603$	13.3091	+	0.0338944i	0.541988	+	0.00138029i
$604$		−	0.125595i		−	0.00511040i
$605$	−2.23234	+	0.598153i	−0.0907574	+	0.0243184i
$606$	−29.3900	−	17.0182i	−1.19389	−	0.691319i
$607$	−31.9799	−	8.56899i	−1.29802	−	0.347804i	−0.457321	−	0.889302i	$-0.651191\pi$
$607$	−31.9799	−	8.56899i	−1.29802	−	0.347804i	−0.840703	+	0.541497i	$0.817858\pi$
$608$	−3.28665	−	5.69265i	−0.133291	−	0.230867i
$609$	10.8009	−	18.6528i	0.437674	−	0.755849i
$610$	0.753657	+	0.435124i	0.0305147	+	0.0176177i
$611$	2.88026			0.116523
$612$	−2.73487	+	0.0109854i	−0.110550	+	0.000444059i
$613$	−0.832327			−0.0336174			−0.0168087	−	0.999859i	$-0.505351\pi$
$613$	−0.832327			−0.0336174			−0.0168087	+	0.999859i	$0.505351\pi$
$614$	2.86234	+	1.65257i	0.115515	+	0.0666924i
$615$	1.36132	+	0.00173344i	0.0548936	+	6.98991e-5i
$616$	0.931055	+	1.61263i	0.0375133	+	0.0649749i
$617$	41.5778	+	11.1408i	1.67386	+	0.448510i	0.966148	−	0.257990i	$-0.0830601\pi$
$617$	41.5778	+	11.1408i	1.67386	+	0.448510i	0.707713	+	0.706500i	$0.249727\pi$
$618$	31.0234	−	17.8587i	1.24795	−	0.718384i
$619$	30.8086	−	8.25515i	1.23830	−	0.331803i	0.420496	−	0.907294i	$-0.361856\pi$
$619$	30.8086	−	8.25515i	1.23830	−	0.331803i	0.817808	+	0.575492i	$0.195189\pi$
$620$		−	0.327609i		−	0.0131571i
$621$	−9.59271	+	35.2611i	−0.384942	+	1.41498i
$622$	−0.286162	−	0.286162i	−0.0114740	−	0.0114740i
$623$	−57.0315	+	15.2815i	−2.28492	+	0.612242i
$624$	−4.28560	−	7.44476i	−0.171561	−	0.298029i
$625$	12.1682	+	21.0760i	0.486728	+	0.843038i
$626$	−10.1996	−	2.73298i	−0.407659	−	0.109232i
$627$	−1.09109	+	1.08831i	−0.0435738	+	0.0434629i
$628$	1.08837	−	1.88512i	0.0434308	−	0.0752243i
$629$	−28.0097	+	28.3798i	−1.11682	+	1.13158i
$630$	−2.72708	+	1.56524i	−0.108650	+	0.0623605i
$631$			2.37358i			0.0944907i	0.998883	+	0.0472454i	$0.0150443\pi$
$631$			2.37358i			0.0944907i	−0.998883	+	0.0472454i	$0.984956\pi$
$632$	1.03808	+	3.87416i	0.0412925	+	0.154106i
$633$	−45.4950	+	12.1283i	−1.80826	+	0.482056i
$634$	19.3176	+	5.17613i	0.767200	+	0.205570i
$635$	0.0202090	−	0.0754209i	0.000801969	−	0.00299299i
$636$	2.00232	+	1.15944i	0.0793972	+	0.0459749i
$637$	8.46800	+	4.88900i	0.335514	+	0.193709i
$638$		−	0.749604i		−	0.0296771i
$639$	−6.00804	−	22.6529i	−0.237675	−	0.896136i
$640$	−1.35315	−	1.35315i	−0.0534880	−	0.0534880i
$641$	7.23006	+	26.9829i	0.285570	+	1.06576i	0.948422	+	0.317011i	$0.102679\pi$
$641$	7.23006	+	26.9829i	0.285570	+	1.06576i	−0.662852	+	0.748751i	$0.730654\pi$
$642$	−25.6126	−	25.6779i	−1.01085	−	1.01342i
$643$	16.3869	+	4.39087i	0.646238	+	0.173159i	0.567027	−	0.823699i	$-0.308093\pi$
$643$	16.3869	+	4.39087i	0.646238	+	0.173159i	0.0792105	+	0.996858i	$0.474760\pi$
$644$	5.02379	−	2.90049i	0.197965	−	0.114295i
$645$	−0.649125	+	2.41029i	−0.0255593	+	0.0949050i
$646$	14.3543	−	25.2437i	0.564764	−	0.993198i
$647$	6.19196			0.243431			0.121716	−	0.992565i	$-0.461160\pi$
$647$	6.19196			0.243431			0.121716	+	0.992565i	$0.461160\pi$
$648$	−23.1572	+	13.2130i	−0.909702	+	0.519057i
$649$	0.0799243	−	0.0799243i	0.00313730	−	0.00313730i
$650$	4.67103	−	8.09047i	0.183213	−	0.317334i
$651$	−22.6765	−	39.3926i	−0.888761	−	1.54392i
$652$	0.509343	−	1.90089i	0.0199474	−	0.0744447i
$653$	6.16071	−	22.9921i	0.241087	−	0.899749i	−0.734223	−	0.678909i	$-0.762453\pi$
$653$	6.16071	−	22.9921i	0.241087	−	0.899749i	0.975310	−	0.220841i	$-0.0708801\pi$
$654$	−24.0575	+	23.9963i	−0.940721	+	0.938328i
$655$	−0.475481	−	0.274519i	−0.0185786	−	0.0107264i
$656$	9.25786	+	9.25786i	0.361459	+	0.361459i
$657$	−4.43504	−	16.7220i	−0.173027	−	0.652388i
$658$	7.16988	−	7.16988i	0.279511	−	0.279511i
$659$	−22.6425	+	39.2180i	−0.882027	+	1.52772i	−0.0329442	+	0.999457i	$0.510488\pi$
$659$	−22.6425	+	39.2180i	−0.882027	+	1.52772i	−0.849083	+	0.528259i	$0.822845\pi$
$660$	0.00681082	−	0.0117621i	0.000265111	−	0.000457838i
$661$	32.5396	−	18.7867i	1.26564	−	0.730720i	0.291483	−	0.956576i	$-0.405851\pi$
$661$	32.5396	−	18.7867i	1.26564	−	0.730720i	0.974161	+	0.225856i	$0.0725180\pi$
$662$	5.37454	+	9.30898i	0.208888	+	0.361804i
$663$	−5.00058	+	8.76805i	−0.194206	+	0.340523i
$664$	5.25551	−	9.10281i	0.203953	−	0.353258i
$665$			4.14976i			0.160921i
$666$	−10.1104	+	37.3517i	−0.391770	+	1.44735i
$667$	−23.4586			−0.908321
$668$	−0.433869	−	1.61922i	−0.0167869	−	0.0626496i
$669$	−0.0464150	+	36.4510i	−0.00179451	+	1.40928i
$670$	0.322586	−	1.20391i	0.0124626	−	0.0465110i
$671$	−0.451986	+	0.260954i	−0.0174487	+	0.0100740i
$672$	7.76676	+	2.09170i	0.299609	+	0.0806891i
$673$	15.9461	−	4.27274i	0.614677	−	0.164702i	0.0619701	−	0.998078i	$-0.480262\pi$
$673$	15.9461	−	4.27274i	0.614677	−	0.164702i	0.552707	+	0.833376i	$0.313595\pi$
$674$	3.93736	+	3.93736i	0.151661	+	0.151661i
$675$	−22.2510	−	12.9602i	−0.856441	−	0.498838i
$676$	−2.43263			−0.0935627
$677$	−0.556966	−	2.07862i	−0.0214059	−	0.0798880i	0.954397	−	0.298542i	$-0.0965002\pi$
$677$	−0.556966	−	2.07862i	−0.0214059	−	0.0798880i	−0.975803	+	0.218654i	$0.929834\pi$
$678$	−31.2419	−	8.41388i	−1.19984	−	0.323133i
$679$	16.7352	+	28.9863i	0.642239	+	1.11239i
$680$	−0.649576	+	2.48950i	−0.0249101	+	0.0954679i
$681$	−17.5337	−	17.5784i	−0.671894	−	0.673607i
$682$	−1.36897	−	0.790376i	−0.0524206	−	0.0302651i
$683$	−7.82243	+	7.82243i	−0.299317	+	0.299317i	−0.840746	−	0.541429i	$-0.817883\pi$
$683$	−7.82243	+	7.82243i	−0.299317	+	0.299317i	0.541429	+	0.840746i	$0.317883\pi$
$684$	−0.00892036	+	3.50269i	−0.000341078	+	0.133929i
$685$	−1.65839	+	1.65839i	−0.0633640	+	0.0633640i
$686$	−0.394049	+	0.105585i	−0.0150449	+	0.00403126i
$687$	34.8276	+	20.1669i	1.32876	+	0.769416i
$688$	−20.7907	+	12.0035i	−0.792640	+	0.457631i
$689$	7.39550	−	4.26979i	0.281746	−	0.162666i
$690$	2.96150	+	1.71485i	0.112742	+	0.0652833i
$691$	11.3100	−	3.03050i	0.430252	−	0.115286i	−0.0371926	−	0.999308i	$-0.511842\pi$
$691$	11.3100	−	3.03050i	0.430252	−	0.115286i	0.467444	+	0.884023i	$0.345175\pi$
$692$	0.564008	−	0.564008i	0.0214404	−	0.0214404i
$693$	0.00480243	−	1.88574i	0.000182429	−	0.0716332i
$694$	−6.01791	+	6.01791i	−0.228437	+	0.228437i
$695$	−1.85434	−	1.07060i	−0.0703391	−	0.0406103i
$696$	−12.0870	−	12.1179i	−0.458158	−	0.459326i
$697$	3.88413	−	14.8859i	0.147122	−	0.563844i
$698$	11.2852	+	19.5466i	0.427153	+	0.739850i
$699$	−42.1770	−	11.3589i	−1.59528	−	0.429633i
$700$	1.05798	+	3.94844i	0.0399879	+	0.149237i
$701$	38.5387			1.45559			0.727793	−	0.685797i	$-0.240546\pi$
$701$	38.5387			1.45559			0.727793	+	0.685797i	$0.240546\pi$
$702$	−0.0374193	+	9.79542i	−0.00141230	+	0.369704i
$703$	36.1112	+	36.1112i	1.36196	+	1.36196i
$704$	1.41234	−	0.378435i	0.0532295	−	0.0142628i
$705$	−0.717901	−	0.193341i	−0.0270377	−	0.00728165i
$706$	24.5449	−	14.1710i	0.923759	−	0.533333i
$707$	14.1950	−	52.9766i	0.533860	−	1.99239i
$708$	0.000327133	−	0.256907i	1.22944e−5	−	0.00965515i
$709$	1.02218	+	3.81483i	0.0383888	+	0.143269i	0.982460	−	0.186472i	$-0.0597053\pi$
$709$	1.02218	+	3.81483i	0.0383888	+	0.143269i	−0.944072	+	0.329741i	$0.893039\pi$
$710$	−2.19475			−0.0823676
$711$	1.06124	−	3.92064i	0.0397996	−	0.147035i
$712$			46.8842i			1.75706i
$713$	−24.7346	+	42.8415i	−0.926317	+	1.60443i
$714$	9.37843	+	34.2745i	0.350979	+	1.28269i
$715$	−0.0250817	−	0.0434428i	−0.000938002	−	0.00162467i
$716$	1.13927	−	0.657757i	0.0425764	−	0.0245815i
$717$	21.9718	−	37.9446i	0.820551	−	1.41707i
$718$	8.29628	−	14.3696i	0.309614	−	0.536268i
$719$	−15.6084	+	15.6084i	−0.582096	+	0.582096i	−0.935479	−	0.353383i	$-0.885031\pi$
$719$	−15.6084	+	15.6084i	−0.582096	+	0.582096i	0.353383	+	0.935479i	$0.385031\pi$
$720$	0.568442	+	2.14327i	0.0211846	+	0.0798751i
$721$	40.8769	+	40.8769i	1.52233	+	1.52233i
$722$	−10.2632	−	5.92547i	−0.381957	−	0.220523i
$723$	34.9500	−	34.8611i	1.29980	−	1.29650i
$724$	−0.826592	+	3.08488i	−0.0307200	+	0.114649i
$725$	4.27838	−	15.9671i	0.158895	−	0.593004i
$726$	12.6450	+	21.9663i	0.469298	+	0.815244i
$727$	14.0561	−	24.3459i	0.521311	−	0.902938i	−0.478381	−	0.878152i	$-0.658776\pi$
$727$	14.0561	−	24.3459i	0.521311	−	0.902938i	0.999693	−	0.0247856i	$-0.00789032\pi$
$728$	11.0455	−	11.0455i	0.409374	−	0.409374i
$729$	26.9992	+	0.206281i	0.999971	+	0.00764005i
$730$	−1.62013			−0.0599637
$731$	24.5220	+	13.9440i	0.906979	+	0.515737i
$732$	−0.308483	+	1.14544i	−0.0114019	+	0.0423366i
$733$	5.78305	−	3.33885i	0.213602	−	0.123323i	−0.389382	−	0.921076i	$-0.627312\pi$
$733$	5.78305	−	3.33885i	0.213602	−	0.123323i	0.602984	+	0.797753i	$0.293978\pi$
$734$	2.86430	+	0.767488i	0.105723	+	0.0283285i
$735$	−1.78246	−	1.78700i	−0.0657469	−	0.0659146i
$736$	−2.26574	−	8.45586i	−0.0835163	−	0.311687i
$737$	0.528550	+	0.528550i	0.0194694	+	0.0194694i
$738$	−3.82735	−	14.4308i	−0.140887	−	0.531203i
$739$		−	5.62966i		−	0.207090i	−0.994625	−	0.103545i	$-0.966981\pi$
$739$		−	5.62966i		−	0.207090i	0.994625	−	0.103545i	$-0.0330186\pi$
$740$	−0.390066	−	0.225205i	−0.0143391	−	0.00827870i
$741$	11.1874	+	6.47805i	0.410979	+	0.237977i
$742$	7.78088	−	29.0386i	0.285645	−	1.06604i
$743$	9.84496	+	2.63795i	0.361177	+	0.0967770i	0.434844	−	0.900506i	$-0.356804\pi$
$743$	9.84496	+	2.63795i	0.361177	+	0.0967770i	−0.0736672	+	0.997283i	$0.523470\pi$
$744$	−34.8748	+	9.29710i	−1.27857	+	0.340848i
$745$	−0.854268	−	3.18817i	−0.0312980	−	0.116806i
$746$			2.32179i			0.0850069i
$747$	−9.23187	+	5.29872i	−0.337776	+	0.193870i
$748$	−0.109322	−	0.107896i	−0.00399721	−	0.00394508i
$749$	29.2849	−	50.7230i	1.07005	−	1.85338i
$750$	−3.42995	+	3.42123i	−0.125244	+	0.124926i
$751$	16.1215	+	4.31973i	0.588281	+	0.157629i	0.540667	−	0.841237i	$-0.318172\pi$
$751$	16.1215	+	4.31973i	0.588281	+	0.157629i	0.0476133	+	0.998866i	$0.484838\pi$
$752$	−3.57524	−	6.19249i	−0.130376	−	0.225817i
$753$	−19.8158	−	34.4231i	−0.722127	−	1.25445i
$754$	−6.07396	+	1.62751i	−0.221200	+	0.0592705i
$755$	0.0846077	+	0.0846077i	0.00307919	+	0.00307919i
$756$	−3.01915	−	3.04230i	−0.109805	−	0.110647i
$757$			17.3458i			0.630446i	0.949018	+	0.315223i	$0.102079\pi$
$757$			17.3458i			0.630446i	−0.949018	+	0.315223i	$0.897921\pi$
$758$	−39.2279	+	10.5111i	−1.42482	+	0.381780i
$759$	−1.77869	+	1.02391i	−0.0645625	+	0.0371656i
$760$	3.18289	+	0.852854i	0.115456	+	0.0309362i
$761$	3.20919	+	5.55848i	0.116333	+	0.201495i	0.918312	−	0.395858i	$-0.129553\pi$
$761$	3.20919	+	5.55848i	0.116333	+	0.201495i	−0.801979	+	0.597353i	$0.796219\pi$
$762$	−0.856324	−	0.00109040i	−0.0310214	−	3.95012e-5i
$763$	−47.5221	−	27.4369i	−1.72042	−	0.993282i
$764$	1.68639			0.0610116
$765$	1.83495	−	1.84975i	0.0663429	−	0.0668780i
$766$	18.1568			0.656032
$767$	−0.821147	−	0.474089i	−0.0296499	−	0.0171184i
$768$	4.54730	−	7.85305i	0.164087	−	0.283372i
$769$	−14.8709	−	25.7572i	−0.536258	−	0.928827i	−0.999101	−	0.0423865i	$-0.986504\pi$
$769$	−14.8709	−	25.7572i	−0.536258	−	0.928827i	0.462843	−	0.886440i	$-0.346829\pi$
$770$	−0.170579	−	0.0457066i	−0.00614725	−	0.00164715i
$771$	12.8914	+	7.46478i	0.464274	+	0.268838i
$772$	−0.112126	+	0.0300440i	−0.00403550	+	0.00108131i
$773$			52.2434i			1.87906i	0.342461	+	0.939532i	$0.388740\pi$
$773$			52.2434i			1.87906i	−0.342461	+	0.939532i	$0.611260\pi$
$774$	27.3755	+	0.0697177i	0.983994	+	0.00250595i
$775$	−24.6490	−	24.6490i	−0.885419	−	0.885419i
$776$	25.6721	−	6.87881i	0.921574	−	0.246935i
$777$	−62.4910	−	0.0795732i	−2.24185	−	0.00285467i
$778$	−20.1814	−	34.9552i	−0.723539	−	1.25321i
$779$	−19.0321	−	5.09963i	−0.681895	−	0.182713i
$780$	−0.110094	−	0.0296499i	−0.00394200	−	0.00106164i
$781$	0.658123	−	1.13990i	0.0235495	−	0.0407889i
$782$	27.1665	−	27.5255i	0.971473	−	0.984310i
$783$	4.42204	+	16.7591i	0.158031	+	0.598921i
$784$		−	24.2747i		−	0.866953i
$785$	0.536729	+	2.00310i	0.0191567	+	0.0714937i
$786$	−1.56584	+	5.81418i	−0.0558518	+	0.207385i
$787$	40.3675	+	10.8164i	1.43895	+	0.385564i	0.892164	−	0.451711i	$-0.149186\pi$
$787$	40.3675	+	10.8164i	1.43895	+	0.385564i	0.546781	+	0.837275i	$0.315853\pi$
$788$	−1.09095	+	4.07147i	−0.0388634	+	0.145040i
$789$	0.0539208	−	42.3455i	0.00191963	−	1.50754i
$790$	−0.329413	−	0.190187i	−0.0117200	−	0.00676654i
$791$		−	52.2509i		−	1.85783i
$792$	−1.44539	−	0.391238i	−0.0513595	−	0.0139020i
$793$	3.09582	+	3.09582i	0.109936	+	0.109936i
$794$	1.79590	+	6.70240i	0.0637342	+	0.237859i
$795$	−2.12993	+	0.567808i	−0.0755410	+	0.0201381i
$796$	−4.55018	−	1.21922i	−0.161277	−	0.0432140i
$797$	−9.12386	+	5.26766i	−0.323184	+	0.186590i	−0.652811	−	0.757521i	$-0.726410\pi$
$797$	−9.12386	+	5.26766i	−0.323184	+	0.186590i	0.329627	+	0.944111i	$0.393077\pi$
$798$	43.9749	−	11.7230i	1.55669	−	0.414991i
$799$	−4.15320	+	7.30384i	−0.146930	+	0.258391i
$800$	6.16871			0.218097
$801$	23.8442	−	41.0576i	0.842495	−	1.45070i
$802$	−27.7192	+	27.7192i	−0.978799	+	0.978799i
$803$	0.485816	−	0.841458i	0.0171441	−	0.0296944i
$804$	1.69896	+	0.00216338i	0.0599176	+	7.62964e-5i
$805$	−1.43037	+	5.33822i	−0.0504140	+	0.188148i
$806$	−3.43207	+	12.8087i	−0.120890	+	0.451166i
$807$	18.3302	+	4.93659i	0.645254	+	0.173776i
$808$	−37.7161	−	21.7754i	−1.32685	−	0.766056i
$809$	−6.93423	−	6.93423i	−0.243795	−	0.243795i	0.574623	−	0.818418i	$-0.305149\pi$
$809$	−6.93423	−	6.93423i	−0.243795	−	0.243795i	−0.818418	+	0.574623i	$0.805149\pi$
$810$	0.666856	−	2.43898i	0.0234309	−	0.0856971i
$811$	16.3558	−	16.3558i	0.574330	−	0.574330i	−0.359006	−	0.933335i	$-0.616884\pi$
$811$	16.3558	−	16.3558i	0.574330	−	0.574330i	0.933335	+	0.359006i	$0.116884\pi$
$812$	1.37574	−	2.38285i	0.0482790	−	0.0836217i
$813$	8.57346	+	14.8934i	0.300684	+	0.522335i
$814$	−1.88212	+	1.08664i	−0.0659682	+	0.0380868i
$815$	0.937423	+	1.62366i	0.0328365	+	0.0568745i
$816$	25.0583	−	0.132563i	0.877215	−	0.00464062i
$817$	18.0645	−	31.2886i	0.631997	−	1.09465i
$818$		−	16.6080i		−	0.580683i
$819$	−15.2903	+	4.05533i	−0.534288	+	0.141705i
$820$	0.173777			0.00606857
$821$	−1.04886	−	3.91441i	−0.0366056	−	0.136614i	0.945205	−	0.326478i	$-0.105862\pi$
$821$	−1.04886	−	3.91441i	−0.0366056	−	0.136614i	−0.981810	+	0.189864i	$0.939195\pi$
$822$	22.2589	+	12.8890i	0.776369	+	0.449556i
$823$	−9.97516	+	37.2278i	−0.347712	+	1.29768i	0.541700	+	0.840572i	$0.317781\pi$
$823$	−9.97516	+	37.2278i	−0.347712	+	1.29768i	−0.889412	+	0.457107i	$0.848886\pi$
$824$	39.7538	−	22.9519i	1.38489	−	0.799567i
$825$	−0.372528	−	1.39741i	−0.0129698	−	0.0486515i
$826$	−3.22425	+	0.863936i	−0.112186	+	0.0300602i
$827$	−9.84615	−	9.84615i	−0.342384	−	0.342384i	0.514879	−	0.857263i	$-0.327837\pi$
$827$	−9.84615	−	9.84615i	−0.342384	−	0.342384i	−0.857263	+	0.514879i	$0.827837\pi$
$828$	−1.21881	+	4.50277i	−0.0423567	+	0.156482i
$829$	−3.18743			−0.110704			−0.0553519	−	0.998467i	$-0.517628\pi$
$829$	−3.18743			−0.110704			−0.0553519	+	0.998467i	$0.517628\pi$
$830$	0.257999	+	0.962866i	0.00895528	+	0.0334216i
$831$	29.4771	−	29.4021i	1.02255	−	1.01995i
$832$	−6.13283	−	10.6224i	−0.212618	−	0.368265i
$833$	−24.6081	+	14.4237i	−0.852620	+	0.499751i
$834$	−6.10666	+	22.6748i	−0.211456	+	0.785165i
$835$	1.38307	+	0.798517i	0.0478632	+	0.0276338i
$836$	−0.139104	+	0.139104i	−0.00481102	+	0.00481102i
$837$	35.2690	+	9.59486i	1.21908	+	0.331647i
$838$	22.1050	−	22.1050i	0.763604	−	0.763604i
$839$	36.3981	−	9.75283i	1.25660	−	0.336705i	0.431718	−	0.902009i	$-0.357908\pi$
$839$	36.3981	−	9.75283i	1.25660	−	0.336705i	0.824883	+	0.565304i	$0.191241\pi$
$840$	−3.49453	+	2.01164i	−0.120573	+	0.0694081i
$841$	15.4787	−	8.93663i	0.533748	−	0.308160i
$842$	−43.5236	+	25.1284i	−1.49992	+	0.865981i
$843$	−0.0152819	+	12.0013i	−0.000526338	+	0.413347i
$844$	−5.80563	+	1.55561i	−0.199838	+	0.0535464i
$845$	1.63875	−	1.63875i	0.0563747	−	0.0563747i
$846$	−0.0207653	+	8.15377i	−0.000713926	+	0.280332i
$847$	−28.9430	+	28.9430i	−0.994494	+	0.994494i
$848$	−18.3599	−	10.6001i	−0.630482	−	0.364009i
$849$	17.5930	−	4.69002i	0.603789	−	0.160961i
$850$	13.7806	+	23.5110i	0.472671	+	0.806421i
$851$	34.0061	+	58.9003i	1.16571	+	2.01908i
$852$	−0.770630	−	2.89075i	−0.0264014	−	0.0990355i
$853$	9.53147	+	35.5719i	0.326351	+	1.21796i	0.912946	+	0.408079i	$0.133801\pi$
$853$	9.53147	+	35.5719i	0.326351	+	1.21796i	−0.586595	+	0.809880i	$0.699532\pi$
$854$	15.4130			0.527420
$855$	−2.35359	−	2.36561i	−0.0804912	−	0.0809022i
$856$	−32.8863	−	32.8863i	−1.12403	−	1.12403i
$857$	19.8123	−	5.30869i	0.676775	−	0.181341i	0.0959705	−	0.995384i	$-0.469405\pi$
$857$	19.8123	−	5.30869i	0.676775	−	0.181341i	0.580805	+	0.814043i	$0.302738\pi$
$858$	−0.389506	+	0.388516i	−0.0132975	+	0.0132637i
$859$	−9.51344	+	5.49259i	−0.324594	+	0.187405i	−0.653439	−	0.756979i	$-0.726674\pi$
$859$	−9.51344	+	5.49259i	−0.324594	+	0.187405i	0.328844	+	0.944384i	$0.393341\pi$
$860$	−0.0824714	+	0.307787i	−0.00281225	+	0.0104955i
$861$	20.8955	−	12.0286i	0.712116	−	0.409932i
$862$	3.42516	+	12.7829i	0.116661	+	0.435386i
$863$	−20.0046			−0.680966			−0.340483	−	0.940251i	$-0.610591\pi$
$863$	−20.0046			−0.680966			−0.340483	+	0.940251i	$0.610591\pi$
$864$	−5.61386	+	3.21263i	−0.190987	+	0.109296i
$865$			0.759893i			0.0258371i
$866$	9.18305	−	15.9055i	0.312053	−	0.540491i
$867$	−15.0237	−	25.3237i	−0.510230	−	0.860038i
$868$	−2.90114	−	5.02492i	−0.0984710	−	0.170557i
$869$	0.197557	−	0.114060i	0.00670166	−	0.00386921i
$870$	1.62317	+	0.00206688i	0.0550308	+	7.00737e-5i
$871$	3.13521	−	5.43035i	0.106233	−	0.184000i
$872$	−30.8110	+	30.8110i	−1.04339	+	1.04339i
$873$	−25.9801	−	7.03230i	−0.879292	−	0.238007i
$874$	−35.0241	−	35.0241i	−1.18471	−	1.18471i
$875$	−6.77538	−	3.91177i	−0.229050	−	0.132242i
$876$	−0.568867	−	2.13391i	−0.0192202	−	0.0720980i
$877$	−10.0894	+	37.6541i	−0.340694	+	1.27149i	0.556868	+	0.830601i	$0.312003\pi$
$877$	−10.0894	+	37.6541i	−0.340694	+	1.27149i	−0.897563	+	0.440887i	$0.854664\pi$
$878$	−4.19334	+	15.6498i	−0.141518	+	0.528153i
$879$	1.60883	−	2.77840i	0.0542646	−	0.0937132i
$880$	−0.0622673	+	0.107850i	−0.00209903	+	0.00363563i
$881$	−31.2239	+	31.2239i	−1.05196	+	1.05196i	−0.0533851	+	0.998574i	$0.517001\pi$
$881$	−31.2239	+	31.2239i	−1.05196	+	1.05196i	−0.998574	+	0.0533851i	$0.982999\pi$
$882$	−13.9014	+	23.9369i	−0.468084	+	0.805998i
$883$	20.6430			0.694694			0.347347	−	0.937737i	$-0.387083\pi$
$883$	20.6430			0.694694			0.347347	+	0.937737i	$0.387083\pi$
$884$	−0.636916	+	1.12009i	−0.0214218	+	0.0376725i
$885$	0.172846	+	0.173287i	0.00581015	+	0.00582496i
$886$	40.3487	−	23.2953i	1.35554	−	0.782622i
$887$	−37.5051	−	10.0495i	−1.25930	−	0.337428i	−0.433377	−	0.901213i	$-0.642678\pi$
$887$	−37.5051	−	10.0495i	−1.25930	−	0.337428i	−0.825922	+	0.563785i	$0.809345\pi$
$888$	−12.9041	+	47.9146i	−0.433033	+	1.60791i
$889$	−0.357921	−	1.33578i	−0.0120043	−	0.0448006i
$890$	−3.14404	−	3.14404i	−0.105388	−	0.105388i
$891$	1.06678	+	1.07771i	0.0357386	+	0.0361046i
$892$			4.65310i			0.155797i
$893$	9.31927	+	5.38049i	0.311858	+	0.180051i
$894$	−31.3717	+	18.0592i	−1.04923	+	0.603991i
$895$	−0.324372	+	1.21057i	−0.0108426	+	0.0404650i
$896$	−32.7377	−	8.77204i	−1.09369	−	0.293053i
$897$	12.1585	+	12.1895i	0.405960	+	0.406995i
$898$	2.36609	+	8.83037i	0.0789574	+	0.294673i
$899$			23.4639i			0.782564i
$900$	−2.84252	−	1.65080i	−0.0947508	−	0.0550266i
$901$	0.163502	+	24.9105i	0.00544705	+	0.829891i
$902$	0.419249	−	0.726160i	0.0139595	−	0.0241785i
$903$	11.3879	+	42.7177i	0.378966	+	1.42156i
$904$	−40.0768	−	10.7386i	−1.33294	−	0.357159i
$905$	−1.52131	−	2.63498i	−0.0505699	−	0.0875896i
$906$	0.657570	−	1.13560i	0.0218463	−	0.0377279i
$907$	9.58646	−	2.56868i	0.318313	−	0.0852917i	−0.0961250	−	0.995369i	$-0.530645\pi$
$907$	9.58646	−	2.56868i	0.318313	−	0.0852917i	0.414438	+	0.910078i	$0.363978\pi$
$908$	−2.24110	−	2.24110i	−0.0743735	−	0.0743735i
$909$	21.9544	+	38.2508i	0.728182	+	1.26870i
$910$			1.48142i			0.0491086i
$911$	12.7660	−	3.42063i	0.422956	−	0.113331i	−0.0410619	−	0.999157i	$-0.513074\pi$
$911$	12.7660	−	3.42063i	0.422956	−	0.113331i	0.464018	+	0.885826i	$0.346407\pi$
$912$	0.0408668	−	32.0938i	0.00135323	−	1.06273i
$913$	−0.577454	−	0.154728i	−0.0191109	−	0.00512076i
$914$	−13.6641	−	23.6669i	−0.451968	−	0.782831i
$915$	−0.563818	−	0.979439i	−0.0186392	−	0.0323793i
$916$	4.44915	+	2.56872i	0.147004	+	0.0848728i
$917$	−9.72402			−0.321115
$918$	−24.7855	−	14.2194i	−0.818044	−	0.469310i
$919$	−18.4170			−0.607522			−0.303761	−	0.952748i	$-0.598242\pi$
$919$	−18.4170			−0.607522			−0.303761	+	0.952748i	$0.598242\pi$
$920$	3.80048	+	2.19421i	0.125298	+	0.0723410i
$921$	−2.14134	−	3.71985i	−0.0705597	−	0.122573i
$922$	8.74137	+	15.1405i	0.287882	+	0.498625i
$923$	−10.6654	−	2.85778i	−0.351056	−	0.0940651i
$924$	0.000306524	−	0.240722i	1.00839e−5	−	0.00791917i
$925$	−46.2925	+	12.4040i	−1.52209	+	0.407843i
$926$		−	23.7968i		−	0.782010i
$927$	−46.4862	−	0.118387i	−1.52681	−	0.00388834i
$928$	−2.93605	−	2.93605i	−0.0963807	−	0.0963807i
$929$	−28.1527	+	7.54349i	−0.923660	+	0.247494i	−0.689149	−	0.724620i	$-0.742016\pi$
$929$	−28.1527	+	7.54349i	−0.923660	+	0.247494i	−0.234511	+	0.972113i	$0.575349\pi$
$930$	1.71524	−	2.96216i	0.0562448	−	0.0971330i
$931$	18.2659	+	31.6374i	0.598639	+	1.03687i
$932$	−5.38590	−	1.44315i	−0.176421	−	0.0472718i
$933$	0.135375	+	0.507812i	0.00443198	+	0.0166250i
$934$	−16.5813	+	28.7197i	−0.542557	+	0.939737i
$935$	0.146330		0.000960448i	0.00478550		3.14100e-5i
$936$	−0.0319899	+	12.5612i	−0.00104562	+	0.410577i
$937$		−	42.0254i		−	1.37291i	−0.727173	−	0.686455i	$-0.759166\pi$
$937$		−	42.0254i		−	1.37291i	0.727173	−	0.686455i	$-0.240834\pi$
$938$	−5.71332	−	21.3224i	−0.186547	−	0.696201i
$939$	9.68404	+	9.70873i	0.316027	+	0.316832i
$940$	−0.0916740	−	0.0245640i	−0.00299008	−	0.000801189i
$941$	1.42143	−	5.30484i	0.0463372	−	0.172933i	−0.938879	−	0.344246i	$-0.888134\pi$
$941$	1.42143	−	5.30484i	0.0463372	−	0.172933i	0.985217	+	0.171314i	$0.0548011\pi$
$942$	19.7106	−	11.3465i	0.642205	−	0.369687i
$943$	−22.7249	−	13.1203i	−0.740026	−	0.427254i
$944$			2.35393i			0.0766139i
$945$	4.08332	+	0.0155986i	0.132830	+	0.000507422i
$946$	1.08718	+	1.08718i	0.0353472	+	0.0353472i
$947$	8.86114	+	33.0702i	0.287948	+	1.07464i	0.946658	+	0.322241i	$0.104436\pi$
$947$	8.86114	+	33.0702i	0.287948	+	1.07464i	−0.658709	+	0.752398i	$0.728897\pi$
$948$	0.134834	−	0.500656i	0.00437920	−	0.0162605i
$949$	−7.87302	−	2.10957i	−0.255569	−	0.0684796i
$950$	30.2269	−	17.4515i	0.980690	−	0.566201i
$951$	−18.3411	−	18.3879i	−0.594751	−	0.596268i
$952$	12.0824	+	43.9367i	0.391594	+	1.42400i
$953$	−34.1762			−1.10707			−0.553537	−	0.832824i	$-0.686722\pi$
$953$	−34.1762			−1.10707			−0.553537	+	0.832824i	$0.686722\pi$
$954$	12.0341	+	20.9668i	0.389618	+	0.678825i
$955$	−1.13605	+	1.13605i	−0.0367616	+	0.0367616i
$956$	2.79861	−	4.84733i	0.0905135	−	0.156774i
$957$	−0.487802	+	0.842418i	−0.0157684	+	0.0272315i
$958$	8.63387	−	32.2221i	0.278948	−	1.04105i
$959$	−10.7508	+	40.1227i	−0.347162	+	1.29563i
$960$	0.815560	+	3.05929i	0.0263221	+	0.0987381i
$961$	16.0043	+	9.24010i	0.516268	+	0.298068i
$962$	12.8913	+	12.8913i	0.415633	+	0.415633i
$963$	12.0741	+	45.5245i	0.389082	+	1.46701i
$964$	4.45582	−	4.45582i	0.143512	−	0.143512i
$965$	0.0552947	−	0.0957733i	0.00178000	−	0.00308305i
$966$	60.6098	+	0.0771778i	1.95009	+	0.00248315i
$967$	−30.6398	+	17.6899i	−0.985309	+	0.568868i	−0.903869	−	0.427810i	$-0.859285\pi$
$967$	−30.6398	+	17.6899i	−0.985309	+	0.568868i	−0.0814401	+	0.996678i	$0.525952\pi$
$968$	16.2512	+	28.1478i	0.522332	+	0.904706i
$969$	−32.5589	+	19.0282i	−1.04594	+	0.611275i
$970$	−1.26027	+	2.18285i	−0.0404649	+	0.0700872i
$971$			44.6796i			1.43384i	0.697157	+	0.716919i	$0.254448\pi$
$971$			44.6796i			1.43384i	−0.697157	+	0.716919i	$0.745552\pi$
$972$	3.44658	+	0.0219439i	0.110549	+	0.000703850i
$973$	−37.9229			−1.21575
$974$	−5.97176	−	22.2869i	−0.191347	−	0.714118i
$975$	−10.5142	+	6.05256i	−0.336725	+	0.193837i
$976$	2.81313	−	10.4988i	0.0900462	−	0.336057i
$977$	−5.43870	+	3.14004i	−0.173999	+	0.100459i	−0.584470	−	0.811415i	$-0.698698\pi$
$977$	−5.43870	+	3.14004i	−0.173999	+	0.100459i	0.410471	+	0.911874i	$0.365364\pi$
$978$	14.5577	−	14.5207i	0.465505	−	0.464321i
$979$	2.57572	−	0.690162i	0.0823203	−	0.0220577i
$980$	−0.227827	−	0.227827i	−0.00727768	−	0.00727768i
$981$	42.6517	−	11.3121i	1.36176	−	0.361169i
$982$	−8.92150			−0.284697
$983$	−5.79503	−	21.6274i	−0.184833	−	0.689806i	−0.994666	−	0.103146i	$-0.967109\pi$
$983$	−5.79503	−	21.6274i	−0.184833	−	0.689806i	0.809833	−	0.586660i	$-0.199557\pi$
$984$	−4.93157	−	18.4991i	−0.157213	−	0.589729i
$985$	−2.00784	−	3.47768i	−0.0639751	−	0.110808i
$986$	4.63127	−	17.7493i	0.147490	−	0.565253i
$987$	−12.7234	+	3.39187i	−0.404991	+	0.107964i
$988$	1.42916	+	0.825128i	0.0454677	+	0.0262508i
$989$	34.0229	−	34.0229i	1.08186	−	1.08186i
$990$	0.123164	−	0.0706909i	0.00391439	−	0.00224670i
$991$	6.63161	−	6.63161i	0.210660	−	0.210660i	−0.593888	−	0.804548i	$-0.702408\pi$
$991$	6.63161	−	6.63161i	0.210660	−	0.210660i	0.804548	+	0.593888i	$0.202408\pi$
$992$	−8.45775	+	2.26625i	−0.268534	+	0.0719534i
$993$	0.0177748	−	13.9591i	0.000564068	−	0.442978i
$994$	−33.6635	+	19.4356i	−1.06774	+	0.616461i
$995$	3.88657	−	2.24391i	0.123213	−	0.0711368i
$996$	−1.17762	+	0.677901i	−0.0373143	+	0.0214801i
$997$	−29.3031	+	7.85176i	−0.928040	+	0.248668i	−0.691019	−	0.722837i	$-0.742838\pi$
$997$	−29.3031	+	7.85176i	−0.928040	+	0.248668i	−0.237021	+	0.971504i	$0.576171\pi$
$998$	11.2179	−	11.2179i	0.355097	−	0.355097i
$999$	35.6688	−	35.3973i	1.12851	−	1.11992i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	153.2.n.a.106.11	yes	64
3.2	odd	2		459.2.o.a.208.6		64
9.4	even	3	inner	153.2.n.a.4.6	✓	64
9.5	odd	6		459.2.o.a.361.11		64
17.13	even	4	inner	153.2.n.a.115.6	yes	64
51.47	odd	4		459.2.o.a.370.11		64
153.13	even	12	inner	153.2.n.a.13.11	yes	64
153.149	odd	12		459.2.o.a.64.6		64

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
153.2.n.a.4.6	✓	64	9.4	even	3	inner
153.2.n.a.13.11	yes	64	153.13	even	12	inner
153.2.n.a.106.11	yes	64	1.1	even	1	trivial
153.2.n.a.115.6	yes	64	17.13	even	4	inner
459.2.o.a.64.6		64	153.149	odd	12
459.2.o.a.208.6		64	3.2	odd	2
459.2.o.a.361.11		64	9.5	odd	6
459.2.o.a.370.11		64	51.47	odd	4

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:	\( N \)	\(=\)	\( 153 = 3^{2} \cdot 17 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	153.n (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(1.15506 + 0.666877i) q^{2} +(-0.864115 - 1.50110i) q^{3} +(-0.110551 - 0.191481i) q^{4} +(0.203465 + 0.0545182i) q^{5} +(0.00294161 - 2.31013i) q^{6} +(3.60357 - 0.965572i) q^{7} -2.96240i q^{8} +(-1.50661 + 2.59425i) q^{9} +O(q^{10})\)	\(q+(1.15506 + 0.666877i) q^{2} +(-0.864115 - 1.50110i) q^{3} +(-0.110551 - 0.191481i) q^{4} +(0.203465 + 0.0545182i) q^{5} +(0.00294161 - 2.31013i) q^{6} +(3.60357 - 0.965572i) q^{7} -2.96240i q^{8} +(-1.50661 + 2.59425i) q^{9} +(0.198658 + 0.198658i) q^{10} +(-0.162748 + 0.0436083i) q^{11} +(-0.191903 + 0.331410i) q^{12} +(0.706706 + 1.22405i) q^{13} +(4.80627 + 1.28784i) q^{14} +(-0.0939796 - 0.352531i) q^{15} +(1.75445 - 3.03880i) q^{16} +(-4.12302 + 0.0270617i) q^{17} +(-3.47028 + 1.99180i) q^{18} +5.28066i q^{19} +(-0.0120541 - 0.0449866i) q^{20} +(-4.56332 - 4.57495i) q^{21} +(-0.217066 - 0.0581627i) q^{22} +(-1.82018 + 6.79301i) q^{23} +(-4.44687 + 2.55986i) q^{24} +(-4.29170 - 2.47781i) q^{25} +1.88514i q^{26} +(5.19611 + 0.0198496i) q^{27} +(-0.583267 - 0.583267i) q^{28} +(0.863336 + 3.22202i) q^{29} +(0.126543 - 0.469869i) q^{30} +(6.79453 + 1.82059i) q^{31} +(-1.07802 + 0.622394i) q^{32} +(0.206094 + 0.206619i) q^{33} +(-4.78040 - 2.71829i) q^{34} +0.785840 q^{35} +(0.663306 + 0.00168925i) q^{36} +(6.83838 - 6.83838i) q^{37} +(-3.52155 + 6.09950i) q^{38} +(1.22675 - 2.11856i) q^{39} +(0.161505 - 0.602745i) q^{40} +(-0.965717 + 3.60410i) q^{41} +(-2.21999 - 8.32753i) q^{42} +(-5.92513 - 3.42088i) q^{43} +(0.0263422 + 0.0263422i) q^{44} +(-0.447976 + 0.445700i) q^{45} +(-6.63253 + 6.63253i) q^{46} +(1.01890 - 1.76479i) q^{47} +(-6.07760 - 0.00773894i) q^{48} +(5.99118 - 3.45901i) q^{49} +(-3.30479 - 5.72407i) q^{50} +(3.60338 + 6.16568i) q^{51} +(0.156255 - 0.270641i) q^{52} -6.04183i q^{53} +(5.98861 + 3.48809i) q^{54} -0.0354910 q^{55} +(-2.86041 - 10.6752i) q^{56} +(7.92681 - 4.56310i) q^{57} +(-1.15148 + 4.29737i) q^{58} +(-0.580968 + 0.335422i) q^{59} +(-0.0571133 + 0.0569681i) q^{60} +(2.99203 - 0.801711i) q^{61} +(6.63401 + 6.63401i) q^{62} +(-2.92424 + 10.8033i) q^{63} -8.67806 q^{64} +(0.0770567 + 0.287580i) q^{65} +(0.100262 + 0.376097i) q^{66} +(-2.21819 - 3.84202i) q^{67} +(0.460987 + 0.786486i) q^{68} +(11.7698 - 3.13766i) q^{69} +(0.907696 + 0.524058i) q^{70} +(-5.52395 + 5.52395i) q^{71} +(7.68521 + 4.46319i) q^{72} +(-4.07769 + 4.07769i) q^{73} +(12.4591 - 3.33841i) q^{74} +(-0.0109297 + 8.58340i) q^{75} +(1.01114 - 0.583784i) q^{76} +(-0.544367 + 0.314290i) q^{77} +(2.82979 - 1.62898i) q^{78} +(-1.30778 + 0.350417i) q^{79} +(0.522640 - 0.522640i) q^{80} +(-4.46024 - 7.81705i) q^{81} +(-3.51896 + 3.51896i) q^{82} +(3.07278 + 1.77407i) q^{83} +(-0.371534 + 1.37955i) q^{84} +(-0.840364 - 0.219274i) q^{85} +(-4.56261 - 7.90266i) q^{86} +(4.09055 - 4.08015i) q^{87} +(0.129185 + 0.482126i) q^{88} -15.8264 q^{89} +(-0.814669 + 0.216068i) q^{90} +(3.72857 + 3.72857i) q^{91} +(1.50195 - 0.402447i) q^{92} +(-3.13836 - 11.7725i) q^{93} +(2.35380 - 1.35897i) q^{94} +(-0.287893 + 1.07443i) q^{95} +(1.86581 + 1.08039i) q^{96} +(2.32204 + 8.66597i) q^{97} +9.22692 q^{98} +(0.132068 - 0.487910i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 64 q - 6 q^{3} + 24 q^{4} - 2 q^{5} - 10 q^{6} - 2 q^{7}+O(q^{10}) \) 64 * q - 6 * q^3 + 24 * q^4 - 2 * q^5 - 10 * q^6 - 2 * q^7	\( 64 q - 6 q^{3} + 24 q^{4} - 2 q^{5} - 10 q^{6} - 2 q^{7} - 16 q^{10} - 24 q^{12} - 4 q^{13} - 16 q^{16} - 8 q^{17} - 8 q^{18} + 18 q^{20} - 16 q^{21} - 4 q^{22} - 8 q^{23} - 2 q^{24} - 10 q^{29} - 36 q^{30} - 2 q^{31} + 12 q^{33} + 20 q^{34} - 128 q^{35} - 8 q^{37} - 24 q^{38} + 34 q^{39} - 20 q^{40} + 32 q^{41} + 20 q^{44} + 20 q^{45} - 40 q^{46} - 64 q^{47} + 62 q^{48} + 48 q^{50} + 40 q^{51} + 36 q^{52} - 46 q^{54} - 16 q^{55} + 12 q^{56} + 72 q^{57} - 10 q^{58} - 2 q^{61} - 28 q^{62} + 64 q^{63} - 8 q^{64} + 8 q^{65} - 4 q^{67} - 60 q^{68} - 24 q^{69} - 84 q^{71} + 72 q^{72} - 44 q^{73} - 14 q^{74} + 46 q^{75} - 56 q^{78} + 10 q^{79} + 204 q^{80} + 44 q^{81} - 52 q^{82} - 60 q^{84} + 22 q^{85} + 32 q^{86} + 16 q^{88} + 128 q^{89} - 66 q^{90} + 44 q^{91} + 136 q^{92} + 4 q^{95} - 2 q^{96} - 44 q^{97} + 208 q^{98} + 6 q^{99}+O(q^{100}) \) 64 * q - 6 * q^3 + 24 * q^4 - 2 * q^5 - 10 * q^6 - 2 * q^7 - 16 * q^10 - 24 * q^12 - 4 * q^13 - 16 * q^16 - 8 * q^17 - 8 * q^18 + 18 * q^20 - 16 * q^21 - 4 * q^22 - 8 * q^23 - 2 * q^24 - 10 * q^29 - 36 * q^30 - 2 * q^31 + 12 * q^33 + 20 * q^34 - 128 * q^35 - 8 * q^37 - 24 * q^38 + 34 * q^39 - 20 * q^40 + 32 * q^41 + 20 * q^44 + 20 * q^45 - 40 * q^46 - 64 * q^47 + 62 * q^48 + 48 * q^50 + 40 * q^51 + 36 * q^52 - 46 * q^54 - 16 * q^55 + 12 * q^56 + 72 * q^57 - 10 * q^58 - 2 * q^61 - 28 * q^62 + 64 * q^63 - 8 * q^64 + 8 * q^65 - 4 * q^67 - 60 * q^68 - 24 * q^69 - 84 * q^71 + 72 * q^72 - 44 * q^73 - 14 * q^74 + 46 * q^75 - 56 * q^78 + 10 * q^79 + 204 * q^80 + 44 * q^81 - 52 * q^82 - 60 * q^84 + 22 * q^85 + 32 * q^86 + 16 * q^88 + 128 * q^89 - 66 * q^90 + 44 * q^91 + 136 * q^92 + 4 * q^95 - 2 * q^96 - 44 * q^97 + 208 * q^98 + 6 * q^99

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