LMFDB - Embedded newform 280.2.br.a.107.8

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [280,2,Mod(67,280)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(280, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([6, 6, 3, 8]))

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

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

chi := DirichletCharacter("280.67");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 280 = 2^{3} \cdot 5 \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	280.br (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:	$2.23581125660$
Analytic rank:	$0$
Dimension:	$176$
Relative dimension:	$44$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			107.8
Character	$\chi$	$=$	280.107
Dual form			280.2.br.a.123.8

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.21141 + 0.729724i) q^{2} +(-2.91917 - 0.782189i) q^{3} +(0.935005 - 1.76798i) q^{4} +(-0.0325774 + 2.23583i) q^{5} +(4.10708 - 1.18264i) q^{6} +(-2.00539 + 1.72581i) q^{7} +(0.157470 + 2.82404i) q^{8} +(5.31166 + 3.06669i) q^{9} +O(q^{10})$	\(q+(-1.21141 + 0.729724i) q^{2} +(-2.91917 - 0.782189i) q^{3} +(0.935005 - 1.76798i) q^{4} +(-0.0325774 + 2.23583i) q^{5} +(4.10708 - 1.18264i) q^{6} +(-2.00539 + 1.72581i) q^{7} +(0.157470 + 2.82404i) q^{8} +(5.31166 + 3.06669i) q^{9} +(-1.59208 - 2.73227i) q^{10} +(-0.678547 - 1.17528i) q^{11} +(-4.11234 + 4.42969i) q^{12} +(-0.979466 - 0.979466i) q^{13} +(1.16997 - 3.55403i) q^{14} +(1.84394 - 6.50129i) q^{15} +(-2.25153 - 3.30615i) q^{16} +(1.32670 - 4.95130i) q^{17} +(-8.67240 + 0.161045i) q^{18} +(-4.73539 - 2.73398i) q^{19} +(3.92245 + 2.14811i) q^{20} +(7.20398 - 3.46933i) q^{21} +(1.67962 + 0.928585i) q^{22} +(8.35271 - 2.23810i) q^{23} +(1.74925 - 8.36702i) q^{24} +(-4.99788 - 0.145675i) q^{25} +(1.90127 + 0.471790i) q^{26} +(-6.69595 - 6.69595i) q^{27} +(1.17615 + 5.15913i) q^{28} +0.988836 q^{29} +(2.51039 + 9.22126i) q^{30} +(-0.611363 + 0.352971i) q^{31} +(5.14009 + 2.36209i) q^{32} +(1.06150 + 3.96159i) q^{33} +(2.00592 + 6.96615i) q^{34} +(-3.79328 - 4.53993i) q^{35} +(10.3883 - 6.52355i) q^{36} +(-2.58792 - 9.65826i) q^{37} +(7.73152 - 0.143573i) q^{38} +(2.09310 + 3.62536i) q^{39} +(-6.31921 + 0.260077i) q^{40} -2.56691 q^{41} +(-6.19528 + 9.45969i) q^{42} +(2.14259 - 2.14259i) q^{43} +(-2.71232 + 0.100769i) q^{44} +(-7.02963 + 11.7761i) q^{45} +(-8.48532 + 8.80642i) q^{46} +(-0.893386 - 3.33416i) q^{47} +(3.98657 + 11.4123i) q^{48} +(1.04317 - 6.92183i) q^{49} +(6.16076 - 3.47060i) q^{50} +(-7.74571 + 13.4160i) q^{51} +(-2.64749 + 0.815874i) q^{52} +(-1.16178 + 4.33581i) q^{53} +(12.9977 + 3.22531i) q^{54} +(2.64983 - 1.47883i) q^{55} +(-5.18954 - 5.39154i) q^{56} +(11.6849 + 11.6849i) q^{57} +(-1.19788 + 0.721578i) q^{58} +(4.09410 - 2.36373i) q^{59} +(-9.77007 - 9.33880i) q^{60} +(9.03985 + 5.21916i) q^{61} +(0.483037 - 0.873717i) q^{62} +(-15.9444 + 3.01700i) q^{63} +(-7.95041 + 0.889404i) q^{64} +(2.22183 - 2.15801i) q^{65} +(-4.17678 - 4.02448i) q^{66} +(0.0191092 - 0.0713166i) q^{67} +(-7.51335 - 6.97507i) q^{68} -26.1336 q^{69} +(7.90810 + 2.73165i) q^{70} -0.469728i q^{71} +(-7.82402 + 15.4832i) q^{72} +(-7.49699 - 2.00881i) q^{73} +(10.1829 + 9.81159i) q^{74} +(14.4757 + 4.33454i) q^{75} +(-9.26124 + 5.81580i) q^{76} +(3.38905 + 1.18585i) q^{77} +(-5.18110 - 2.86439i) q^{78} +(1.32400 - 2.29323i) q^{79} +(7.46533 - 4.92634i) q^{80} +(5.10907 + 8.84916i) q^{81} +(3.10957 - 1.87314i) q^{82} +(-1.79243 + 1.79243i) q^{83} +(0.602035 - 15.9804i) q^{84} +(11.0270 + 3.12757i) q^{85} +(-1.03204 + 4.15904i) q^{86} +(-2.88658 - 0.773457i) q^{87} +(3.21218 - 2.10131i) q^{88} +(-7.18082 - 4.14585i) q^{89} +(-0.0775436 - 19.3953i) q^{90} +(3.65458 + 0.273840i) q^{91} +(3.85290 - 16.8601i) q^{92} +(2.06076 - 0.552180i) q^{93} +(3.51527 + 3.38710i) q^{94} +(6.26698 - 10.4985i) q^{95} +(-13.1572 - 10.9159i) q^{96} +(-1.40865 - 1.40865i) q^{97} +(3.78733 + 9.14637i) q^{98} -8.32356i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 176 q - 2 q^{2} - 4 q^{3} - 16 q^{6} - 20 q^{8}+O(q^{10}) $ 176 * q - 2 * q^2 - 4 * q^3 - 16 * q^6 - 20 * q^8	$ 176 q - 2 q^{2} - 4 q^{3} - 16 q^{6} - 20 q^{8} - 2 q^{10} - 8 q^{11} - 14 q^{12} + 4 q^{16} - 4 q^{17} - 16 q^{18} + 8 q^{20} - 4 q^{25} - 20 q^{26} - 40 q^{27} - 34 q^{28} - 12 q^{30} + 18 q^{32} + 20 q^{33} - 32 q^{35} - 48 q^{36} - 16 q^{38} - 22 q^{40} - 32 q^{41} + 30 q^{42} - 16 q^{43} + 20 q^{46} + 36 q^{48} + 68 q^{50} - 8 q^{51} - 32 q^{52} - 52 q^{56} - 40 q^{57} - 14 q^{58} - 50 q^{60} + 56 q^{62} - 4 q^{65} - 60 q^{66} - 28 q^{67} - 40 q^{68} + 64 q^{70} - 48 q^{72} - 4 q^{73} - 4 q^{75} - 144 q^{76} + 184 q^{78} - 40 q^{80} + 32 q^{81} + 74 q^{82} - 16 q^{83} - 56 q^{86} - 64 q^{88} - 56 q^{90} + 16 q^{91} + 44 q^{92} - 104 q^{96} - 48 q^{97} + 70 q^{98}+O(q^{100}) $ 176 * q - 2 * q^2 - 4 * q^3 - 16 * q^6 - 20 * q^8 - 2 * q^10 - 8 * q^11 - 14 * q^12 + 4 * q^16 - 4 * q^17 - 16 * q^18 + 8 * q^20 - 4 * q^25 - 20 * q^26 - 40 * q^27 - 34 * q^28 - 12 * q^30 + 18 * q^32 + 20 * q^33 - 32 * q^35 - 48 * q^36 - 16 * q^38 - 22 * q^40 - 32 * q^41 + 30 * q^42 - 16 * q^43 + 20 * q^46 + 36 * q^48 + 68 * q^50 - 8 * q^51 - 32 * q^52 - 52 * q^56 - 40 * q^57 - 14 * q^58 - 50 * q^60 + 56 * q^62 - 4 * q^65 - 60 * q^66 - 28 * q^67 - 40 * q^68 + 64 * q^70 - 48 * q^72 - 4 * q^73 - 4 * q^75 - 144 * q^76 + 184 * q^78 - 40 * q^80 + 32 * q^81 + 74 * q^82 - 16 * q^83 - 56 * q^86 - 64 * q^88 - 56 * q^90 + 16 * q^91 + 44 * q^92 - 104 * q^96 - 48 * q^97 + 70 * q^98

Display 100 coefficients 10 coefficients

Character values

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

$n$	$57$	$71$	$141$	$241$
$\chi(n)$	$e\left(\frac{1}{4}\right)$	$-1$	$-1$	$e\left(\frac{1}{3}\right)$

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 $

$2$	−1.21141	+	0.729724i	−0.856593	+	0.515993i
$2$	−1.21141	+	0.729724i	−0.856593	+	0.515993i
$3$	−2.91917	−	0.782189i	−1.68538	−	0.451597i	−0.716191	−	0.697904i	$-0.754116\pi$
$3$	−2.91917	−	0.782189i	−1.68538	−	0.451597i	−0.969192	+	0.246307i	$0.920783\pi$
$4$	0.935005	−	1.76798i	0.467503	−	0.883992i
$5$	−0.0325774	+	2.23583i	−0.0145691	+	0.999894i
$5$	−0.0325774	+	2.23583i	−0.0145691	+	0.999894i
$6$	4.10708	−	1.18264i	1.67671	−	0.482811i
$7$	−2.00539	+	1.72581i	−0.757966	+	0.652294i
$7$	−2.00539	+	1.72581i	−0.757966	+	0.652294i
$8$	0.157470	+	2.82404i	0.0556741	+	0.998449i
$9$	5.31166	+	3.06669i	1.77055	+	1.02223i
$10$	−1.59208	−	2.73227i	−0.503458	−	0.864019i
$11$	−0.678547	−	1.17528i	−0.204590	−	0.354359i	0.745412	−	0.666604i	$-0.232253\pi$
$11$	−0.678547	−	1.17528i	−0.204590	−	0.354359i	−0.950002	+	0.312244i	$0.898919\pi$
$12$	−4.11234	+	4.42969i	−1.18713	+	1.27874i
$13$	−0.979466	−	0.979466i	−0.271655	−	0.271655i	0.558111	−	0.829766i	$-0.311526\pi$
$13$	−0.979466	−	0.979466i	−0.271655	−	0.271655i	−0.829766	+	0.558111i	$0.811526\pi$
$14$	1.16997	−	3.55403i	0.312689	−	0.949856i
$15$	1.84394	−	6.50129i	0.476104	−	1.67863i
$16$	−2.25153	−	3.30615i	−0.562883	−	0.826537i
$17$	1.32670	−	4.95130i	0.321771	−	1.20087i	−0.595747	−	0.803172i	$-0.703144\pi$
$17$	1.32670	−	4.95130i	0.321771	−	1.20087i	0.917518	−	0.397694i	$-0.130190\pi$
$18$	−8.67240	+	0.161045i	−2.04410	+	0.0379586i
$19$	−4.73539	−	2.73398i	−1.08637	−	0.627217i	−0.153764	−	0.988108i	$-0.549140\pi$
$19$	−4.73539	−	2.73398i	−1.08637	−	0.627217i	−0.932608	+	0.360890i	$0.882473\pi$
$20$	3.92245	+	2.14811i	0.877087	+	0.480332i
$21$	7.20398	−	3.46933i	1.57204	−	0.757071i
$22$	1.67962	+	0.928585i	0.358097	+	0.197975i
$23$	8.35271	−	2.23810i	1.74166	−	0.466676i	0.758845	−	0.651271i	$-0.225764\pi$
$23$	8.35271	−	2.23810i	1.74166	−	0.466676i	0.982815	+	0.184594i	$0.0590971\pi$
$24$	1.74925	−	8.36702i	0.357064	−	1.70791i
$25$	−4.99788	−	0.145675i	−0.999575	−	0.0291351i
$26$	1.90127	+	0.471790i	0.372870	+	0.0925257i
$27$	−6.69595	−	6.69595i	−1.28864	−	1.28864i
$28$	1.17615	+	5.15913i	0.222272	+	0.974985i
$29$	0.988836			0.183622			0.0918111	−	0.995776i	$-0.470734\pi$
$29$	0.988836			0.183622			0.0918111	+	0.995776i	$0.470734\pi$
$30$	2.51039	+	9.22126i	0.458332	+	1.68356i
$31$	−0.611363	+	0.352971i	−0.109804	+	0.0633954i	−0.553896	−	0.832586i	$-0.686860\pi$
$31$	−0.611363	+	0.352971i	−0.109804	+	0.0633954i	0.444092	+	0.895981i	$0.353526\pi$
$32$	5.14009	+	2.36209i	0.908648	+	0.417562i
$33$	1.06150	+	3.96159i	0.184784	+	0.689624i
$34$	2.00592	+	6.96615i	0.344012	+	1.19469i
$35$	−3.79328	−	4.53993i	−0.641182	−	0.767389i
$36$	10.3883	−	6.52355i	1.73138	−	1.08726i
$37$	−2.58792	−	9.65826i	−0.425452	−	1.58781i	−0.762934	−	0.646476i	$-0.776242\pi$
$37$	−2.58792	−	9.65826i	−0.425452	−	1.58781i	0.337483	−	0.941332i	$-0.390425\pi$
$38$	7.73152	−	0.143573i	1.25422	−	0.0232906i
$39$	2.09310	+	3.62536i	0.335164	+	0.580522i
$40$	−6.31921	+	0.260077i	−0.999154	+	0.0411217i
$41$	−2.56691			−0.400885			−0.200442	−	0.979706i	$-0.564238\pi$
$41$	−2.56691			−0.400885			−0.200442	+	0.979706i	$0.564238\pi$
$42$	−6.19528	+	9.45969i	−0.955953	+	1.45966i
$43$	2.14259	−	2.14259i	0.326742	−	0.326742i	−0.524604	−	0.851346i	$-0.675787\pi$
$43$	2.14259	−	2.14259i	0.326742	−	0.326742i	0.851346	+	0.524604i	$0.175787\pi$
$44$	−2.71232	+	0.100769i	−0.408897	+	0.0151915i
$45$	−7.02963	+	11.7761i	−1.04792	+	1.75547i
$46$	−8.48532	+	8.80642i	−1.25109	+	1.29844i
$47$	−0.893386	−	3.33416i	−0.130314	−	0.486337i	0.869660	−	0.493652i	$-0.164338\pi$
$47$	−0.893386	−	3.33416i	−0.130314	−	0.486337i	−0.999973	+	0.00731459i	$0.997672\pi$
$48$	3.98657	+	11.4123i	0.575411	+	1.64723i
$49$	1.04317	−	6.92183i	0.149025	−	0.988833i
$50$	6.16076	−	3.47060i	0.871263	−	0.490817i
$51$	−7.74571	+	13.4160i	−1.08462	+	1.87861i
$52$	−2.64749	+	0.815874i	−0.367140	+	0.113141i
$53$	−1.16178	+	4.33581i	−0.159582	+	0.595569i	0.839087	+	0.543997i	$0.183090\pi$
$53$	−1.16178	+	4.33581i	−0.159582	+	0.595569i	−0.998669	+	0.0515718i	$0.983577\pi$
$54$	12.9977	+	3.22531i	1.76876	+	0.438910i
$55$	2.64983	−	1.47883i	0.357303	−	0.199405i
$56$	−5.18954	−	5.39154i	−0.693482	−	0.720474i
$57$	11.6849	+	11.6849i	1.54770	+	1.54770i
$58$	−1.19788	+	0.721578i	−0.157290	+	0.0947478i
$59$	4.09410	−	2.36373i	0.533006	−	0.307731i	−0.209234	−	0.977866i	$-0.567097\pi$
$59$	4.09410	−	2.36373i	0.533006	−	0.307731i	0.742240	+	0.670135i	$0.233764\pi$
$60$	−9.77007	−	9.33880i	−1.26131	−	1.20563i
$61$	9.03985	+	5.21916i	1.15743	+	0.668245i	0.950688	−	0.310150i	$-0.100379\pi$
$61$	9.03985	+	5.21916i	1.15743	+	0.668245i	0.206746	+	0.978395i	$0.433713\pi$
$62$	0.483037	−	0.873717i	0.0613458	−	0.110962i
$63$	−15.9444	+	3.01700i	−2.00881	+	0.380106i
$64$	−7.95041	+	0.889404i	−0.993801	+	0.111176i
$65$	2.22183	−	2.15801i	0.275584	−	0.267668i
$66$	−4.17678	−	4.02448i	−0.514126	−	0.495379i
$67$	0.0191092	−	0.0713166i	0.00233456	−	0.00871271i	−0.964749	−	0.263173i	$-0.915231\pi$
$67$	0.0191092	−	0.0713166i	0.00233456	−	0.00871271i	0.967083	+	0.254460i	$0.0818977\pi$
$68$	−7.51335	−	6.97507i	−0.911127	−	0.845851i
$69$	−26.1336			−3.14611
$70$	7.90810	+	2.73165i	0.945199	+	0.326494i
$71$		−	0.469728i		−	0.0557464i	−0.999611	−	0.0278732i	$-0.991127\pi$
$71$		−	0.469728i		−	0.0557464i	0.999611	−	0.0278732i	$-0.00887346\pi$
$72$	−7.82402	+	15.4832i	−0.922069	+	1.82472i
$73$	−7.49699	−	2.00881i	−0.877457	−	0.235114i	−0.208147	−	0.978098i	$-0.566743\pi$
$73$	−7.49699	−	2.00881i	−0.877457	−	0.235114i	−0.669310	+	0.742984i	$0.733410\pi$
$74$	10.1829	+	9.81159i	1.18374	+	1.14057i
$75$	14.4757	+	4.33454i	1.67151	+	0.500509i
$76$	−9.26124	+	5.81580i	−1.06234	+	0.667119i
$77$	3.38905	+	1.18585i	0.386219	+	0.135140i
$78$	−5.18110	−	2.86439i	−0.586644	−	0.324328i
$79$	1.32400	−	2.29323i	0.148961	−	0.258009i	−0.781883	−	0.623426i	$-0.785740\pi$
$79$	1.32400	−	2.29323i	0.148961	−	0.258009i	0.930844	+	0.365417i	$0.119074\pi$
$80$	7.46533	−	4.92634i	0.834650	−	0.550781i
$81$	5.10907	+	8.84916i	0.567674	+	0.983240i
$82$	3.10957	−	1.87314i	0.343395	−	0.206854i
$83$	−1.79243	+	1.79243i	−0.196745	+	0.196745i	−0.798603	−	0.601858i	$-0.794427\pi$
$83$	−1.79243	+	1.79243i	−0.196745	+	0.196745i	0.601858	+	0.798603i	$0.294427\pi$
$84$	0.602035	−	15.9804i	0.0656874	−	1.74360i
$85$	11.0270	+	3.12757i	1.19605	+	0.339233i
$86$	−1.03204	+	4.15904i	−0.111288	+	0.448481i
$87$	−2.88658	−	0.773457i	−0.309474	−	0.0829233i
$88$	3.21218	−	2.10131i	0.342420	−	0.224001i
$89$	−7.18082	−	4.14585i	−0.761166	−	0.439459i	0.0685485	−	0.997648i	$-0.478163\pi$
$89$	−7.18082	−	4.14585i	−0.761166	−	0.439459i	−0.829714	+	0.558189i	$0.811497\pi$
$90$	−0.0775436	−	19.3953i	−0.00817381	−	2.04444i
$91$	3.65458	+	0.273840i	0.383104	+	0.0287063i
$92$	3.85290	−	16.8601i	0.401693	−	1.75779i
$93$	2.06076	−	0.552180i	0.213691	−	0.0572584i
$94$	3.51527	+	3.38710i	0.362572	+	0.349352i
$95$	6.26698	−	10.4985i	0.642978	−	1.07712i
$96$	−13.1572	−	10.9159i	−1.34285	−	1.11410i
$97$	−1.40865	−	1.40865i	−0.143027	−	0.143027i	0.631968	−	0.774995i	$-0.282247\pi$
$97$	−1.40865	−	1.40865i	−0.143027	−	0.143027i	−0.774995	+	0.631968i	$0.782247\pi$
$98$	3.78733	+	9.14637i	0.382578	+	0.923923i
$99$		−	8.32356i		−	0.836549i
$100$	−4.93059	+	8.69996i	−0.493059	+	0.869996i
$101$	4.60435	−	2.65832i	0.458150	−	0.264513i	−0.253116	−	0.967436i	$-0.581456\pi$
$101$	4.60435	−	2.65832i	0.458150	−	0.264513i	0.711266	+	0.702923i	$0.248122\pi$
$102$	−0.406759	−	21.9044i	−0.0402752	−	2.16886i
$103$	−9.32846	+	2.49955i	−0.919160	+	0.246288i	−0.687226	−	0.726443i	$-0.741172\pi$
$103$	−9.32846	+	2.49955i	−0.919160	+	0.246288i	−0.231934	+	0.972732i	$0.574505\pi$
$104$	2.61182	−	2.92029i	0.256110	−	0.286358i
$105$	7.52215	+	16.2199i	0.734087	+	1.58290i
$106$	−1.75656	−	6.10020i	−0.170612	−	0.592503i
$107$	13.4600	−	3.60660i	1.30123	−	0.348663i	0.459314	−	0.888274i	$-0.348095\pi$
$107$	13.4600	−	3.60660i	1.30123	−	0.348663i	0.841915	+	0.539611i	$0.181429\pi$
$108$	−18.0991	+	5.57758i	−1.74159	+	0.536703i
$109$	−2.78377	−	4.82163i	−0.266637	−	0.461829i	0.701354	−	0.712813i	$-0.252579\pi$
$109$	−2.78377	−	4.82163i	−0.266637	−	0.461829i	−0.967991	+	0.250984i	$0.919246\pi$
$110$	−2.13088	+	3.72510i	−0.203171	+	0.355175i
$111$			30.2183i			2.86820i
$112$	10.2210	+	2.74440i	0.965791	+	0.259322i
$113$	−6.17026	+	6.17026i	−0.580450	+	0.580450i	−0.935027	−	0.354577i	$-0.884625\pi$
$113$	−6.17026	+	6.17026i	−0.580450	+	0.580450i	0.354577	+	0.935027i	$0.384625\pi$
$114$	−22.6819	−	5.62840i	−2.12436	−	0.527148i
$115$	4.73191	+	18.7482i	0.441253	+	1.74827i
$116$	0.924567	−	1.74825i	0.0858439	−	0.162321i
$117$	−2.19887	−	8.20630i	−0.203286	−	0.758673i
$118$	−3.23474	+	5.85099i	−0.297782	+	0.538628i
$119$	5.88445	+	12.2189i	0.539427	+	1.12011i
$120$	18.6503	+	4.18361i	1.70253	+	0.381909i
$121$	4.57915	−	7.93132i	0.416286	−	0.721029i
$122$	−14.7595	+	0.274080i	−1.33626	+	0.0248140i
$123$	7.49326	+	2.00781i	0.675644	+	0.181038i
$124$	0.0524186	+	1.41091i	0.00470733	+	0.126703i
$125$	0.488523	−	11.1697i	0.0436949	−	0.999045i
$126$	17.1136	−	15.2899i	1.52460	−	1.36213i
$127$	−6.45736	+	6.45736i	−0.572998	+	0.572998i	−0.932965	−	0.359967i	$-0.882788\pi$
$127$	−6.45736	+	6.45736i	−0.572998	+	0.572998i	0.359967	+	0.932965i	$0.382788\pi$
$128$	8.98214	−	6.87903i	0.793917	−	0.608026i
$129$	−7.93049	+	4.57867i	−0.698241	+	0.403129i
$130$	−1.11678	+	4.23555i	−0.0979482	+	0.371482i
$131$	3.22166	−	5.58007i	0.281478	−	0.487533i	−0.690271	−	0.723551i	$-0.742509\pi$
$131$	3.22166	−	5.58007i	0.281478	−	0.487533i	0.971749	+	0.236017i	$0.0758422\pi$
$132$	7.99653	+	1.82738i	0.696009	+	0.159053i
$133$	14.2146	−	2.68968i	1.23256	−	0.233225i
$134$	0.0288924	+	0.100338i	0.00249593	+	0.00866786i
$135$	15.1892	−	14.7529i	1.30727	−	1.26973i
$136$	14.1916	+	2.96696i	1.21692	+	0.254415i
$137$	3.58084	−	13.3639i	0.305932	−	1.14175i	−0.626209	−	0.779656i	$-0.715394\pi$
$137$	3.58084	−	13.3639i	0.305932	−	1.14175i	0.932140	−	0.362097i	$-0.117939\pi$
$138$	31.6584	−	19.0703i	2.69494	−	1.62337i
$139$			2.53930i			0.215380i	0.994184	+	0.107690i	$0.0343455\pi$
$139$			2.53930i			0.215380i	−0.994184	+	0.107690i	$0.965655\pi$
$140$	−11.5733	+	2.46160i	−0.978120	+	0.208043i
$141$			10.4318i			0.878514i
$142$	0.342772	+	0.569030i	0.0287647	+	0.0477520i
$143$	−0.486531	+	1.81576i	−0.0406858	+	0.151841i
$144$	−1.82044	−	24.4659i	−0.151703	−	2.03882i
$145$	−0.0322138	+	2.21087i	−0.00267521	+	0.183603i
$146$	10.5478	−	3.03725i	0.872940	−	0.251365i
$147$	−8.45938	+	19.3901i	−0.697718	+	1.59926i
$148$	−19.4954	−	4.45512i	−1.60251	−	0.366208i
$149$	−7.46626	+	12.9319i	−0.611660	+	1.05943i	0.379301	+	0.925273i	$0.376164\pi$
$149$	−7.46626	+	12.9319i	−0.611660	+	1.05943i	−0.990961	+	0.134152i	$0.957169\pi$
$150$	−20.6990	+	5.31239i	−1.69006	+	0.433755i
$151$	−5.76839	+	3.33038i	−0.469425	+	0.271023i	−0.715999	−	0.698101i	$-0.754028\pi$
$151$	−5.76839	+	3.33038i	−0.469425	+	0.271023i	0.246574	+	0.969124i	$0.420695\pi$
$152$	6.97518	−	13.8034i	0.565762	−	1.11961i
$153$	22.2310	−	22.2310i	1.79727	−	1.79727i
$154$	−4.97086	+	1.03653i	−0.400563	+	0.0835262i
$155$	−0.769266	−	1.37840i	−0.0617889	−	0.110716i
$156$	8.36663	−	0.310840i	0.669866	−	0.0248871i
$157$	−4.36972	−	1.17086i	−0.348742	−	0.0934450i	0.0801961	−	0.996779i	$-0.474445\pi$
$157$	−4.36972	−	1.17086i	−0.348742	−	0.0934450i	−0.428938	+	0.903334i	$0.641112\pi$
$158$	0.0695286	+	3.74418i	0.00553140	+	0.297871i
$159$	6.78284	−	11.7482i	0.537914	−	0.931695i
$160$	−5.44868	+	11.4154i	−0.430756	+	0.902468i
$161$	−12.8879	+	18.9034i	−1.01571	+	1.48980i
$162$	−12.6466	−	6.99171i	−0.993610	−	0.549321i
$163$	−5.53138	−	20.6434i	−0.433251	−	1.61692i	−0.745217	−	0.666822i	$-0.767654\pi$
$163$	−5.53138	−	20.6434i	−0.433251	−	1.61692i	0.311966	−	0.950093i	$-0.399013\pi$
$164$	−2.40008	+	4.53826i	−0.187415	+	0.354379i
$165$	−8.89202	+	2.24428i	−0.692243	+	0.174717i
$166$	0.863379	−	3.47934i	0.0670112	−	0.270049i
$167$	−4.45442	+	4.45442i	−0.344693	+	0.344693i	−0.858128	−	0.513435i	$-0.828373\pi$
$167$	−4.45442	+	4.45442i	−0.344693	+	0.344693i	0.513435	+	0.858128i	$0.328373\pi$
$168$	10.9319	+	19.7980i	0.843418	+	1.52745i
$169$		−	11.0813i		−	0.852407i
$170$	−15.6405	+	4.25795i	−1.19957	+	0.326570i
$171$	−16.7685	−	29.0439i	−1.28232	−	2.22104i
$172$	−1.78473	−	5.79139i	−0.136084	−	0.441590i
$173$	−7.38203	+	1.97801i	−0.561246	+	0.150385i	−0.528279	−	0.849071i	$-0.677162\pi$
$173$	−7.38203	+	1.97801i	−0.561246	+	0.150385i	−0.0329671	+	0.999456i	$0.510496\pi$
$174$	4.06123	−	1.16944i	0.307881	−	0.0886549i
$175$	10.2741	−	8.33324i	0.776649	−	0.629934i
$176$	−2.35787	+	4.88955i	−0.177731	+	0.368564i
$177$	−13.8002	+	3.69776i	−1.03729	+	0.277941i
$178$	11.7242	−	0.217716i	0.878767	−	0.0163185i
$179$	−21.7110	+	12.5348i	−1.62275	+	0.936898i	−0.636576	+	0.771214i	$0.719650\pi$
$179$	−21.7110	+	12.5348i	−1.62275	+	0.936898i	−0.986179	+	0.165684i	$0.947017\pi$
$180$	14.2471	+	23.4389i	1.06192	+	1.74704i
$181$		−	12.2131i		−	0.907789i	−0.891055	−	0.453895i	$-0.850034\pi$
$181$		−	12.2131i		−	0.907789i	0.891055	−	0.453895i	$-0.149966\pi$
$182$	−4.62701	+	2.33511i	−0.342977	+	0.173090i
$183$	−22.3065	−	22.3065i	−1.64894	−	1.64894i
$184$	7.63579	+	23.2360i	0.562918	+	1.71298i
$185$	21.6785	−	5.47151i	1.59384	−	0.402274i
$186$	−2.09348	+	2.17270i	−0.153501	+	0.159310i
$187$	−6.71938	+	1.80045i	−0.491370	+	0.131662i
$188$	−6.73006	−	1.53797i	−0.490840	−	0.112168i
$189$	24.9839	+	1.87206i	1.81731	+	0.136172i
$190$	0.0691308	+	17.2911i	0.00501527	+	1.25442i
$191$	−16.9906	−	9.80950i	−1.22939	−	0.709791i	−0.262490	−	0.964935i	$-0.584544\pi$
$191$	−16.9906	−	9.80950i	−1.22939	−	0.709791i	−0.966903	+	0.255144i	$0.917877\pi$
$192$	23.9043	+	3.62240i	1.72514	+	0.261424i
$193$	−5.58085	−	1.49538i	−0.401718	−	0.107640i	0.0523023	−	0.998631i	$-0.483344\pi$
$193$	−5.58085	−	1.49538i	−0.401718	−	0.107640i	−0.454021	+	0.890991i	$0.650011\pi$
$194$	2.73437	+	0.678519i	0.196316	+	0.0487148i
$195$	−8.17387	+	4.56171i	−0.585343	+	0.326671i
$196$	−11.2623	−	8.31626i	−0.804451	−	0.594019i
$197$	1.36985	−	1.36985i	0.0975981	−	0.0975981i	−0.656622	−	0.754220i	$-0.728015\pi$
$197$	1.36985	−	1.36985i	0.0975981	−	0.0975981i	0.754220	+	0.656622i	$0.228015\pi$
$198$	6.07390	+	10.0832i	0.431653	+	0.716582i
$199$	−6.87315	−	11.9046i	−0.487225	−	0.843898i	0.512667	−	0.858587i	$-0.328657\pi$
$199$	−6.87315	−	11.9046i	−0.487225	−	0.843898i	−0.999892	+	0.0146893i	$0.995324\pi$
$200$	−0.375624	−	14.1371i	−0.0265606	−	0.999647i
$201$	−0.111566	+	0.193238i	−0.00786927	+	0.0136300i
$202$	−3.63789	+	6.58021i	−0.255961	+	0.462982i
$203$	−1.98300	+	1.70654i	−0.139179	+	0.119776i
$204$	16.4769	+	26.2383i	1.15361	+	1.83705i
$205$	0.0836235	−	5.73919i	0.00584052	−	0.400842i
$206$	9.47656	−	9.83517i	0.660263	−	0.685249i
$207$	51.2303	+	13.7271i	3.56075	+	0.954100i
$208$	−1.03296	+	5.44356i	−0.0716230	+	0.377443i
$209$			7.42053i			0.513289i
$210$	−20.9484	−	14.1598i	−1.44558	−	0.977117i
$211$	1.03328			0.0711341			0.0355670	−	0.999367i	$-0.488676\pi$
$211$	1.03328			0.0711341			0.0355670	+	0.999367i	$0.488676\pi$
$212$	6.57937	+	6.10800i	0.451873	+	0.419499i
$213$	−0.367416	+	1.37121i	−0.0251749	+	0.0939541i
$214$	−13.6737	+	14.1911i	−0.934715	+	0.970087i
$215$	4.72067	+	4.86027i	0.321947	+	0.331467i
$216$	17.8552	−	19.9641i	1.21489	−	1.35838i
$217$	0.616861	−	1.76294i	0.0418753	−	0.119676i
$218$	6.89073	+	3.80956i	0.466699	+	0.258016i
$219$	20.3137	+	11.7281i	1.37267	+	0.792514i
$220$	−0.136942	−	6.06756i	−0.00923262	−	0.409075i
$221$	−6.14909	+	3.55018i	−0.413632	+	0.238811i
$222$	−22.0511	−	36.6067i	−1.47997	−	2.45688i
$223$	16.7788	+	16.7788i	1.12359	+	1.12359i	0.991197	+	0.132393i	$0.0422662\pi$
$223$	16.7788	+	16.7788i	1.12359	+	1.12359i	0.132393	+	0.991197i	$0.457734\pi$
$224$	−14.3844	+	4.13391i	−0.961098	+	0.276208i
$225$	−26.1003	−	16.1007i	−1.74002	−	1.07338i
$226$	2.97210	−	11.9773i	0.197701	−	0.796717i
$227$	0.861185	−	3.21399i	0.0571588	−	0.213320i	−0.931440	−	0.363896i	$-0.881446\pi$
$227$	0.861185	−	3.21399i	0.0571588	−	0.213320i	0.988598	+	0.150576i	$0.0481130\pi$
$228$	31.5842	−	9.73328i	2.09171	−	0.644602i
$229$	−5.60281	+	9.70436i	−0.370244	+	0.641282i	−0.989603	−	0.143826i	$-0.954059\pi$
$229$	−5.60281	+	9.70436i	−0.370244	+	0.641282i	0.619359	+	0.785108i	$0.287393\pi$
$230$	−19.4132	−	19.2586i	−1.28007	−	1.26988i
$231$	−8.96567	−	6.11257i	−0.589898	−	0.402178i
$232$	0.155712	+	2.79251i	0.0102230	+	0.183337i
$233$	6.42825	+	23.9905i	0.421128	+	1.57167i	0.772235	+	0.635337i	$0.219139\pi$
$233$	6.42825	+	23.9905i	0.421128	+	1.57167i	−0.351106	+	0.936336i	$0.614194\pi$
$234$	8.65206	+	8.33659i	0.565603	+	0.544980i
$235$	7.48372	−	1.88884i	0.488184	−	0.123214i
$236$	−0.351030	−	9.44839i	−0.0228501	−	0.615038i
$237$	−5.65871	+	5.65871i	−0.367573	+	0.367573i
$238$	−16.0449	−	10.5080i	−1.04004	−	0.681134i
$239$	−14.5164			−0.938987			−0.469493	−	0.882936i	$-0.655563\pi$
$239$	−14.5164			−0.938987			−0.469493	+	0.882936i	$0.655563\pi$
$240$	−25.6459	+	8.54151i	−1.65544	+	0.551352i
$241$	−7.66126	−	13.2697i	−0.493505	−	0.854776i	0.506467	−	0.862260i	$-0.330951\pi$
$241$	−7.66126	−	13.2697i	−0.493505	−	0.854776i	−0.999972	+	0.00748315i	$0.997618\pi$
$242$	0.240470	+	12.9496i	0.0154580	+	0.832429i
$243$	−0.639844	−	2.38793i	−0.0410460	−	0.153186i
$244$	17.6797	−	11.1024i	1.13183	−	0.710756i
$245$	15.4421	+	2.55785i	0.986557	+	0.163415i
$246$	−10.5425	+	3.03574i	−0.672167	+	0.193552i
$247$	1.96031	+	7.31599i	0.124732	+	0.465505i
$248$	−1.09307	−	1.67093i	−0.0694103	−	0.106104i
$249$	6.63442	−	3.83039i	0.420440	−	0.242741i
$250$	7.55897	+	13.8875i	0.478071	+	0.878321i
$251$	20.7761			1.31138			0.655689	−	0.755031i	$-0.272378\pi$
$251$	20.7761			1.31138			0.655689	+	0.755031i	$0.272378\pi$
$252$	−9.57414	+	31.0104i	−0.603114	+	1.95347i
$253$	−8.29809	−	8.29809i	−0.521697	−	0.521697i
$254$	3.11039	−	12.5346i	0.195163	−	0.786489i
$255$	−29.7435	−	17.7551i	−1.86261	−	1.11187i
$256$	−5.86122	+	14.8878i	−0.366326	+	0.930486i
$257$	−0.294056	+	0.0787921i	−0.0183427	+	0.00491492i	−0.267979	−	0.963425i	$-0.586356\pi$
$257$	−0.294056	+	0.0787921i	−0.0183427	+	0.00491492i	0.249636	+	0.968340i	$0.419689\pi$
$258$	6.26587	−	11.3337i	0.390096	−	0.705605i
$259$	21.8581	+	14.9023i	1.35820	+	0.925984i
$260$	−1.73791	−	5.94591i	−0.107780	−	0.368750i
$261$	5.25236	+	3.03245i	0.325113	+	0.187704i
$262$	0.169183	+	9.11065i	0.0104521	+	0.562858i
$263$	−5.99262	+	22.3648i	−0.369521	+	1.37907i	0.491667	+	0.870784i	$0.336388\pi$
$263$	−5.99262	+	22.3648i	−0.369521	+	1.37907i	−0.861188	+	0.508287i	$0.830279\pi$
$264$	−11.0205	+	3.62156i	−0.678266	+	0.222892i
$265$	−9.65628	−	2.73878i	−0.593181	−	0.168242i
$266$	−15.2569	+	13.6310i	−0.935463	+	0.835773i
$267$	17.7192	+	17.7192i	1.08440	+	1.08440i
$268$	−0.108219	−	0.100466i	−0.00661055	−	0.00613695i
$269$	−4.91750	−	8.51735i	−0.299825	−	0.519312i	0.676271	−	0.736653i	$-0.263595\pi$
$269$	−4.91750	−	8.51735i	−0.299825	−	0.519312i	−0.976096	+	0.217341i	$0.930262\pi$
$270$	−7.63469	+	28.9556i	−0.464632	+	1.76218i
$271$	−6.86113	−	3.96127i	−0.416784	−	0.240630i	0.276916	−	0.960894i	$-0.410687\pi$
$271$	−6.86113	−	3.96127i	−0.416784	−	0.240630i	−0.693700	+	0.720264i	$0.744021\pi$
$272$	−19.3568	+	6.76175i	−1.17368	+	0.409991i
$273$	−10.4542	−	3.65796i	−0.632714	−	0.221390i
$274$	5.41409	+	18.8021i	0.327077	+	1.13588i
$275$	3.22008	+	5.97274i	0.194178	+	0.360170i
$276$	−24.4350	+	46.2038i	−1.47082	+	2.78114i
$277$	4.34322	+	1.16376i	0.260959	+	0.0699237i	0.386926	−	0.922111i	$-0.373537\pi$
$277$	4.34322	+	1.16376i	0.260959	+	0.0699237i	−0.125967	+	0.992034i	$0.540203\pi$
$278$	−1.85299	−	3.07612i	−0.111135	−	0.184493i
$279$	−4.32980			−0.259218
$280$	12.2236	−	11.4273i	0.730501	−	0.682911i
$281$	15.8478			0.945402			0.472701	−	0.881223i	$-0.343279\pi$
$281$	15.8478			0.945402			0.472701	+	0.881223i	$0.343279\pi$
$282$	−7.61232	−	12.6371i	−0.453307	−	0.752529i
$283$	21.3477	+	5.72009i	1.26899	+	0.340024i	0.829643	−	0.558294i	$-0.188544\pi$
$283$	21.3477	+	5.72009i	1.26899	+	0.340024i	0.439345	+	0.898319i	$0.355211\pi$
$284$	−0.830470	−	0.439198i	−0.0492794	−	0.0260616i
$285$	−26.5062	+	25.7448i	−1.57009	+	1.52499i
$286$	−0.735617	−	2.55465i	−0.0434979	−	0.151060i
$287$	5.14766	−	4.43000i	0.303857	−	0.261495i
$288$	20.0586	+	28.3096i	1.18197	+	1.66816i
$289$	−8.03282	−	4.63775i	−0.472519	−	0.272809i
$290$	−1.57430	−	2.70177i	−0.0924462	−	0.158653i
$291$	3.01025	+	5.21391i	0.176464	+	0.305645i
$292$	−10.5613	+	11.3763i	−0.618052	+	0.665748i
$293$	−1.08797	−	1.08797i	−0.0635601	−	0.0635601i	0.674612	−	0.738172i	$-0.264311\pi$
$293$	−1.08797	−	1.08797i	−0.0635601	−	0.0635601i	−0.738172	+	0.674612i	$0.764311\pi$
$294$	−3.90165	−	29.6622i	−0.227549	−	1.72994i
$295$	5.15152	+	9.23071i	0.299933	+	0.537433i
$296$	26.8678	−	8.82928i	1.56166	−	0.513192i
$297$	−3.32609	+	12.4131i	−0.192999	+	0.720282i
$298$	−0.392084	−	21.1141i	−0.0227128	−	1.22311i
$299$	−10.3733	−	5.98905i	−0.599906	−	0.346356i
$300$	21.1982	−	21.5400i	1.22388	−	1.24361i
$301$	−0.599027	+	7.99442i	−0.0345274	+	0.460791i
$302$	4.55760	−	8.24378i	0.262260	−	0.474376i
$303$	−15.5202	+	4.15862i	−0.891611	+	0.238906i
$304$	1.62294	+	21.8115i	0.0930819	+	1.25098i
$305$	−11.9636	+	20.0415i	−0.685036	+	1.14758i
$306$	−10.7083	+	43.1533i	−0.612151	+	2.46691i
$307$	−5.33122	−	5.33122i	−0.304269	−	0.304269i	0.538413	−	0.842681i	$-0.319024\pi$
$307$	−5.33122	−	5.33122i	−0.304269	−	0.304269i	−0.842681	+	0.538413i	$0.819024\pi$
$308$	5.26534	−	4.88302i	0.300021	−	0.278236i
$309$	29.1865			1.66036
$310$	1.93775	+	1.10845i	0.110057	+	0.0629559i
$311$	22.8179	−	13.1739i	1.29388	−	0.747023i	0.314542	−	0.949243i	$-0.398149\pi$
$311$	22.8179	−	13.1739i	1.29388	−	0.747023i	0.979340	+	0.202220i	$0.0648157\pi$
$312$	−9.90855	+	6.48189i	−0.560961	+	0.366964i
$313$	−7.13740	−	26.6371i	−0.403429	−	1.50562i	−0.806934	−	0.590642i	$-0.798875\pi$
$313$	−7.13740	−	26.6371i	−0.403429	−	1.50562i	0.403505	−	0.914978i	$-0.367792\pi$
$314$	6.14791	−	1.77030i	0.346947	−	0.0999039i
$315$	−6.22607	−	35.7474i	−0.350799	−	2.01414i
$316$	−2.81645	−	4.48499i	−0.158438	−	0.252300i
$317$	−6.08460	−	22.7080i	−0.341745	−	1.27541i	−0.896369	−	0.443309i	$-0.853804\pi$
$317$	−6.08460	−	22.7080i	−0.341745	−	1.27541i	0.554623	−	0.832101i	$-0.312862\pi$
$318$	0.356195	+	19.1815i	0.0199745	+	1.07564i
$319$	−0.670972	−	1.16216i	−0.0375672	−	0.0650683i
$320$	−1.72955	−	17.8047i	−0.0966850	−	0.995315i
$321$	−42.1131			−2.35052
$322$	1.81817	−	32.3043i	0.101323	−	1.80025i
$323$	−19.8192	+	19.8192i	−1.10277	+	1.10277i
$324$	20.4222	−	0.758732i	1.13457	−	0.0421518i
$325$	4.75257	+	5.03794i	0.263625	+	0.279454i
$326$	21.7647	+	20.9711i	1.20544	+	1.16148i
$327$	4.35487	+	16.2526i	0.240825	+	0.898771i
$328$	−0.404212	−	7.24907i	−0.0223189	−	0.400263i
$329$	7.54571	+	5.14448i	0.416008	+	0.283624i
$330$	9.13413	−	9.20746i	0.502817	−	0.506854i
$331$	−1.25551	+	2.17461i	−0.0690090	+	0.119527i	−0.898465	−	0.439044i	$-0.855317\pi$
$331$	−1.25551	+	2.17461i	−0.0690090	+	0.119527i	0.829456	+	0.558572i	$0.188650\pi$
$332$	1.49305	+	4.84492i	0.0819420	+	0.265899i
$333$	15.8727	−	59.2377i	0.869818	−	3.24620i
$334$	2.14561	−	8.64661i	0.117403	−	0.473121i
$335$	0.158829	+	0.0450483i	0.00867777	+	0.00246125i
$336$	−27.6901	−	16.0061i	−1.51062	−	0.873205i
$337$	−12.7890	−	12.7890i	−0.696664	−	0.696664i	0.267026	−	0.963689i	$-0.413959\pi$
$337$	−12.7890	−	12.7890i	−0.696664	−	0.696664i	−0.963689	+	0.267026i	$0.913959\pi$
$338$	8.08629	+	13.4239i	0.439836	+	0.730166i
$339$	22.8384	−	13.1857i	1.24041	−	0.716151i
$340$	15.8398	−	16.5713i	0.859036	−	0.898707i
$341$	0.829677	+	0.479014i	0.0449295	+	0.0259401i
$342$	41.5075	+	22.9475i	2.24447	+	1.24086i
$343$	9.85379	+	15.6813i	0.532055	+	0.846710i
$344$	6.38815	+	5.71336i	0.344426	+	0.308044i
$345$	0.851366	−	58.4303i	0.0458360	−	3.14578i
$346$	7.49923	−	7.78302i	0.403161	−	0.418418i
$347$	0.552419	−	2.06165i	0.0296554	−	0.110675i	−0.949512	−	0.313732i	$-0.898421\pi$
$347$	0.552419	−	2.06165i	0.0296554	−	0.110675i	0.979167	+	0.203056i	$0.0650874\pi$
$348$	−4.06643	+	4.38024i	−0.217983	+	0.234806i
$349$	21.0294			1.12568			0.562840	−	0.826566i	$-0.309709\pi$
$349$	21.0294			1.12568			0.562840	+	0.826566i	$0.309709\pi$
$350$	−6.36513	+	17.5922i	−0.340230	+	0.940342i
$351$			13.1169i			0.700130i
$352$	−0.711684	−	7.64382i	−0.0379329	−	0.407417i
$353$	26.0667	+	6.98455i	1.38739	+	0.371750i	0.873800	−	0.486286i	$-0.161649\pi$
$353$	26.0667	+	6.98455i	1.38739	+	0.371750i	0.513590	+	0.858036i	$0.328315\pi$
$354$	14.0193	−	14.5499i	0.745119	−	0.773316i
$355$	1.05023	+	0.0153025i	0.0557405	+	0.000812174i
$356$	−14.0439	+	8.81918i	−0.744325	+	0.467416i
$357$	−7.62021	−	40.2718i	−0.403304	−	2.13141i
$358$	17.1538	−	31.0278i	0.906607	−	1.63987i
$359$	−0.234972	+	0.406983i	−0.0124013	+	0.0214797i	−0.872159	−	0.489222i	$-0.837281\pi$
$359$	−0.234972	+	0.406983i	−0.0124013	+	0.0214797i	0.859758	+	0.510701i	$0.170614\pi$
$360$	−34.3630	−	17.9976i	−1.81109	−	0.948556i
$361$	5.44927	+	9.43841i	0.286804	+	0.496758i
$362$	8.91216	+	14.7950i	0.468413	+	0.777606i
$363$	−19.5711	+	19.5711i	−1.02722	+	1.02722i
$364$	3.90120	−	6.20520i	0.204478	−	0.325241i
$365$	4.73560	−	16.6966i	0.247873	−	0.873938i
$366$	43.2998	+	10.7446i	2.26331	+	0.561630i
$367$	17.6338	+	4.72496i	0.920476	+	0.246641i	0.687789	−	0.725911i	$-0.258582\pi$
$367$	17.6338	+	4.72496i	0.920476	+	0.246641i	0.232687	+	0.972552i	$0.425248\pi$
$368$	−26.2059	−	22.5761i	−1.36608	−	1.17686i
$369$	−13.6346	−	7.87192i	−0.709787	−	0.409796i
$370$	−22.2688	+	22.4476i	−1.15770	+	1.16699i
$371$	−5.15296	−	10.7000i	−0.267528	−	0.555516i
$372$	0.950579	−	4.15969i	0.0492852	−	0.215670i
$373$	−23.4095	+	6.27257i	−1.21210	+	0.324781i	−0.807586	−	0.589750i	$-0.799226\pi$
$373$	−23.4095	+	6.27257i	−1.21210	+	0.324781i	−0.404515	+	0.914532i	$0.632560\pi$
$374$	6.82606	−	7.08437i	0.352967	−	0.366324i
$375$	−10.1629	+	32.2240i	−0.524808	+	1.66404i
$376$	9.27512	−	3.04799i	0.478328	−	0.157188i
$377$	−0.968532	−	0.968532i	−0.0498819	−	0.0498819i
$378$	−31.6317	+	15.9635i	−1.62696	+	0.821076i
$379$		−	26.9236i		−	1.38297i	−0.722390	−	0.691486i	$-0.756956\pi$
$379$		−	26.9236i		−	1.38297i	0.722390	−	0.691486i	$-0.243044\pi$
$380$	−12.7014	−	20.8960i	−0.651570	−	1.07194i
$381$	23.9010	−	13.7993i	1.22449	−	0.706958i
$382$	27.7407	−	0.515138i	1.41934	−	0.0263568i
$383$	31.3894	−	8.41075i	1.60392	−	0.429769i	0.657698	−	0.753282i	$-0.271530\pi$
$383$	31.3894	−	8.41075i	1.60392	−	0.429769i	0.946224	+	0.323513i	$0.104864\pi$
$384$	−31.6011	+	13.0553i	−1.61264	+	0.666227i
$385$	−2.76176	+	7.53872i	−0.140752	+	0.384209i
$386$	7.85189	−	2.26096i	0.399650	−	0.115080i
$387$	17.9513	−	4.81005i	0.912518	−	0.244508i
$388$	−3.80756	+	1.17337i	−0.193300	+	0.0595690i
$389$	11.3395	+	19.6405i	0.574933	+	0.995814i	0.996049	+	0.0888068i	$0.0283054\pi$
$389$	11.3395	+	19.6405i	0.574933	+	0.995814i	−0.421116	+	0.907007i	$0.638361\pi$
$390$	6.57308	−	11.4908i	0.332841	−	0.581857i
$391$		−	44.3261i		−	2.24166i
$392$	19.7118	+	1.85598i	0.995597	+	0.0937410i
$393$	−13.7692	+	13.7692i	−0.694566	+	0.694566i
$394$	−0.659833	+	2.65906i	−0.0332419	+	0.133962i
$395$	5.08414	+	3.03494i	0.255811	+	0.152704i
$396$	−14.7159	−	7.78257i	−0.739502	−	0.391089i
$397$	7.53191	+	28.1095i	0.378016	+	1.41077i	0.848888	+	0.528573i	$0.177273\pi$
$397$	7.53191	+	28.1095i	0.378016	+	1.41077i	−0.470872	+	0.882202i	$0.656061\pi$
$398$	17.0133	+	9.40585i	0.852799	+	0.471472i
$399$	−43.5987	−	3.26688i	−2.18267	−	0.163549i
$400$	10.7713	+	16.8517i	0.538563	+	0.842586i
$401$	−2.73193	+	4.73183i	−0.136426	+	0.236296i	−0.926141	−	0.377177i	$-0.876895\pi$
$401$	−2.73193	+	4.73183i	−0.136426	+	0.236296i	0.789715	+	0.613473i	$0.210228\pi$
$402$	−0.00585880	−	0.315502i	−0.000292211	−	0.0157358i
$403$	0.944533	+	0.253087i	0.0470505	+	0.0126071i
$404$	−0.394779	−	10.6260i	−0.0196410	−	0.528661i
$405$	−19.9517	+	11.1347i	−0.991406	+	0.553289i
$406$	1.15691	−	3.51436i	0.0574167	−	0.174415i
$407$	−9.59511	+	9.59511i	−0.475612	+	0.475612i
$408$	−39.1069	−	19.7616i	−1.93608	−	0.978344i
$409$	−19.0355	+	10.9901i	−0.941244	+	0.543428i	−0.890350	−	0.455276i	$-0.849540\pi$
$409$	−19.0355	+	10.9901i	−0.941244	+	0.543428i	−0.0508942	+	0.998704i	$0.516207\pi$
$410$	4.08672	+	7.01350i	0.201829	+	0.346372i
$411$	−20.9062	+	36.2105i	−1.03122	+	1.78613i
$412$	−4.30299	+	18.8297i	−0.211993	+	0.927671i
$413$	−4.13092	+	11.8058i	−0.203269	+	0.580926i
$414$	−72.0776	+	20.7549i	−3.54242	+	1.02005i
$415$	−3.94918	−	4.06596i	−0.193857	−	0.199590i
$416$	−2.72096	−	7.34813i	−0.133406	−	0.360272i
$417$	1.98621	−	7.41264i	0.0972652	−	0.362999i
$418$	−5.41494	−	8.98926i	−0.264853	−	0.439679i
$419$		−	11.1796i		−	0.546160i	−0.961991	−	0.273080i	$-0.911958\pi$
$419$		−	11.1796i		−	0.546160i	0.961991	−	0.273080i	$-0.0880424\pi$
$420$	35.7098	+	1.86665i	1.74246	+	0.0910831i
$421$			30.8921i			1.50559i	0.658255	+	0.752795i	$0.271295\pi$
$421$			30.8921i			1.50559i	−0.658255	+	0.752795i	$0.728705\pi$
$422$	−1.25172	+	0.754011i	−0.0609329	+	0.0367047i
$423$	5.47947	−	20.4496i	0.266421	−	0.994296i
$424$	−12.4274	−	2.59814i	−0.603530	−	0.126177i
$425$	−7.35195	+	24.5527i	−0.356622	+	1.19098i
$426$	−0.555519	−	1.92921i	−0.0269150	−	0.0934705i
$427$	−27.1357	+	5.13460i	−1.31319	+	0.248481i
$428$	6.20877	−	27.1693i	0.300112	−	1.31328i
$429$	2.84053	−	4.91995i	0.137142	−	0.237537i
$430$	−9.26529	−	2.44297i	−0.446812	−	0.117810i
$431$	−26.7770	+	15.4597i	−1.28980	+	0.744669i	−0.978619	−	0.205680i	$-0.934059\pi$
$431$	−26.7770	+	15.4597i	−1.28980	+	0.744669i	−0.311185	+	0.950349i	$0.600726\pi$
$432$	−7.06166	+	37.2140i	−0.339754	+	1.79046i
$433$	23.4486	−	23.4486i	1.12687	−	1.12687i	0.136182	−	0.990684i	$-0.456517\pi$
$433$	23.4486	−	23.4486i	1.12687	−	1.12687i	0.990684	−	0.136182i	$-0.0434833\pi$
$434$	0.539190	+	2.58577i	0.0258820	+	0.124121i
$435$	1.82336	−	6.42871i	0.0874232	−	0.308233i
$436$	−11.1274	+	0.413409i	−0.532906	+	0.0197987i
$437$	−45.6722	−	12.2378i	−2.18480	−	0.585415i
$438$	−33.1665	+	0.615893i	−1.58475	+	0.0294285i
$439$	17.7876	−	30.8091i	0.848958	−	1.47044i	−0.0331807	−	0.999449i	$-0.510564\pi$
$439$	17.7876	−	30.8091i	0.848958	−	1.47044i	0.882139	−	0.470989i	$-0.156103\pi$
$440$	4.59354	+	7.25035i	0.218988	+	0.345647i
$441$	26.7681	−	33.5673i	1.27467	−	1.59844i
$442$	4.85839	−	8.78784i	0.231090	−	0.417995i
$443$	−6.50682	−	24.2838i	−0.309148	−	1.15376i	−0.929315	−	0.369287i	$-0.879602\pi$
$443$	−6.50682	−	24.2838i	−0.309148	−	1.15376i	0.620167	−	0.784470i	$-0.287065\pi$
$444$	53.4255	+	28.2543i	2.53546	+	1.34089i
$445$	9.50335	−	15.9200i	0.450502	−	0.754682i
$446$	−32.5698	−	8.08202i	−1.54222	−	0.382695i
$447$	31.9105	−	31.9105i	1.50931	−	1.50931i
$448$	14.4087	−	15.5045i	0.680748	−	0.732518i
$449$			2.23739i			0.105589i	0.998605	+	0.0527946i	$0.0168128\pi$
$449$			2.23739i			0.105589i	−0.998605	+	0.0527946i	$0.983187\pi$
$450$	43.3671	+	0.458474i	2.04434	+	0.0216127i
$451$	1.74177	+	3.01684i	0.0820168	+	0.142057i
$452$	5.13970	+	16.6782i	0.241751	+	0.784474i
$453$	19.4439	−	5.20998i	0.913554	−	0.244786i
$454$	1.30208	+	4.52187i	0.0611096	+	0.212222i
$455$	−0.731317	+	8.16211i	−0.0342847	+	0.382645i
$456$	−31.1586	+	34.8387i	−1.45914	+	1.63147i
$457$	0.341992	−	0.0916365i	0.0159977	−	0.00428657i	−0.250811	−	0.968036i	$-0.580697\pi$
$457$	0.341992	−	0.0916365i	0.0159977	−	0.00428657i	0.266809	+	0.963749i	$0.414031\pi$
$458$	−0.294227	−	15.8444i	−0.0137483	−	0.740361i
$459$	−42.0372	+	24.2702i	−1.96213	+	1.13283i
$460$	37.5708	+	9.16369i	1.75175	+	0.427259i
$461$			24.5490i			1.14336i	0.820477	+	0.571680i	$0.193708\pi$
$461$			24.5490i			1.14336i	−0.820477	+	0.571680i	$0.806292\pi$
$462$	15.3215	+	0.862336i	0.712823	+	0.0401195i
$463$	3.13667	+	3.13667i	0.145773	+	0.145773i	0.776227	−	0.630454i	$-0.217131\pi$
$463$	3.13667	+	3.13667i	0.145773	+	0.145773i	−0.630454	+	0.776227i	$0.717131\pi$
$464$	−2.22640	−	3.26924i	−0.103358	−	0.151771i
$465$	1.16745	+	4.62550i	0.0541390	+	0.214503i
$466$	−25.2937	−	24.3714i	−1.17171	−	1.12898i
$467$	11.8207	−	3.16734i	0.546996	−	0.146567i	0.0252707	−	0.999681i	$-0.491955\pi$
$467$	11.8207	−	3.16734i	0.546996	−	0.146567i	0.521725	+	0.853113i	$0.325289\pi$
$468$	−16.5646	−	3.78537i	−0.765697	−	0.174979i
$469$	0.0847573	+	0.175996i	0.00391373	+	0.00812676i
$470$	−7.68749	+	7.74921i	−0.354597	+	0.357444i
$471$	11.8401	+	6.83590i	0.545564	+	0.314981i
$472$	7.31996	+	11.1897i	0.336928	+	0.515047i
$473$	−3.97198	−	1.06429i	−0.182632	−	0.0489361i
$474$	2.72569	−	10.9843i	0.125195	−	0.504525i
$475$	23.2686	+	14.3539i	1.06764	+	0.658603i
$476$	27.1048	+	1.02113i	1.24235	+	0.0468035i
$477$	−19.4675	+	19.4675i	−0.891356	+	0.891356i
$478$	17.5852	−	10.5930i	0.804329	−	0.484510i
$479$	1.60612	+	2.78188i	0.0733854	+	0.127107i	0.900383	−	0.435098i	$-0.143286\pi$
$479$	1.60612	+	2.78188i	0.0733854	+	0.127107i	−0.826998	+	0.562205i	$0.809953\pi$
$480$	24.8346	−	29.0617i	1.13354	−	1.32648i
$481$	−6.92516	+	11.9947i	−0.315760	+	0.546912i
$482$	18.9641	+	10.4844i	0.863792	+	0.477550i
$483$	52.4080	−	45.1016i	2.38465	−	2.05219i
$484$	−9.74091	−	15.5117i	−0.442769	−	0.705076i
$485$	3.19539	−	3.10361i	0.145095	−	0.140928i
$486$	2.51764	+	2.42584i	0.114202	+	0.110038i
$487$	−27.3585	−	7.33069i	−1.23973	−	0.332185i	−0.421370	−	0.906889i	$-0.638451\pi$
$487$	−27.3585	−	7.33069i	−1.23973	−	0.332185i	−0.818362	+	0.574703i	$0.805117\pi$
$488$	−13.3156	+	26.3507i	−0.602769	+	1.19284i
$489$			64.5882i			2.92078i
$490$	−20.5731	+	8.16985i	−0.929399	+	0.369076i
$491$	13.6055			0.614007			0.307004	−	0.951708i	$-0.400674\pi$
$491$	13.6055			0.614007			0.307004	+	0.951708i	$0.400674\pi$
$492$	10.5560	−	11.3706i	0.475902	−	0.512628i
$493$	1.31189	−	4.89602i	0.0590844	−	0.220506i
$494$	−7.71339	−	7.43214i	−0.347042	−	0.334388i
$495$	18.6101	+	0.271160i	0.836460	+	0.0121877i
$496$	2.54348	+	1.22653i	0.114205	+	0.0550729i
$497$	0.810660	+	0.941987i	0.0363631	+	0.0422539i
$498$	−5.24185	+	9.48145i	−0.234893	+	0.424874i
$499$	3.99048	+	2.30390i	0.178638	+	0.103137i	0.586653	−	0.809839i	$-0.300445\pi$
$499$	3.99048	+	2.30390i	0.178638	+	0.103137i	−0.408014	+	0.912975i	$0.633779\pi$
$500$	−19.2910	−	11.3074i	−0.862720	−	0.505682i
$501$	16.4874	−	9.51901i	0.736603	−	0.425278i
$502$	−25.1683	+	15.1608i	−1.12332	+	0.676662i
$503$	−23.8269	−	23.8269i	−1.06239	−	1.06239i	−0.997920	−	0.0644704i	$-0.979464\pi$
$503$	−23.8269	−	23.8269i	−1.06239	−	1.06239i	−0.0644704	−	0.997920i	$-0.520536\pi$
$504$	−11.0309	−	44.5527i	−0.491356	−	1.98453i
$505$	5.79356	+	10.3811i	0.257810	+	0.461955i
$506$	16.1077	+	3.99703i	0.716073	+	0.177690i
$507$	−8.66767	+	32.3482i	−0.384945	+	1.43663i
$508$	5.37884	+	17.4542i	0.238648	+	0.774404i
$509$	−6.83730	+	11.8426i	−0.303058	+	0.524912i	−0.976827	−	0.214030i	$-0.931341\pi$
$509$	−6.83730	+	11.8426i	−0.303058	+	0.524912i	0.673769	+	0.738942i	$0.264674\pi$
$510$	48.9878	−	0.195856i	2.16921	−	0.00867266i
$511$	18.5012	−	8.90992i	0.818446	−	0.394152i
$512$	−3.76366	−	22.3122i	−0.166332	−	0.986070i
$513$	13.4014	+	50.0145i	0.591684	+	2.20820i
$514$	0.298725	−	0.310029i	0.0131762	−	0.0136748i
$515$	−5.28468	−	20.9383i	−0.232871	−	0.922651i
$516$	0.679964	+	18.3021i	0.0299338	+	0.805703i
$517$	−3.31236	+	3.31236i	−0.145677	+	0.145677i
$518$	−37.3536	−	2.10236i	−1.64122	−	0.0923722i
$519$	23.0966			1.01383
$520$	6.44419	+	5.93471i	0.282596	+	0.260254i
$521$	0.930124	+	1.61102i	0.0407495	+	0.0705801i	0.885681	−	0.464295i	$-0.153692\pi$
$521$	0.930124	+	1.61102i	0.0407495	+	0.0705801i	−0.844931	+	0.534875i	$0.820359\pi$
$522$	−8.57559	+	0.159247i	−0.375343	+	0.00697004i
$523$	5.39617	+	20.1388i	0.235958	+	0.880607i	0.977715	+	0.209938i	$0.0673262\pi$
$523$	5.39617	+	20.1388i	0.235958	+	0.880607i	−0.741757	+	0.670669i	$0.766007\pi$
$524$	−6.85321	−	10.9132i	−0.299384	−	0.476747i
$525$	−36.5100	+	16.2899i	−1.59343	+	0.710948i
$526$	−9.06062	−	31.4658i	−0.395062	−	1.37197i
$527$	0.936570	+	3.49533i	0.0407976	+	0.152259i
$528$	10.7076	−	12.4291i	0.465988	−	0.540908i
$529$	44.8401	−	25.8884i	1.94957	−	1.12558i
$530$	13.6962	−	3.72865i	0.594926	−	0.161962i
$531$	28.9952			1.25829
$532$	8.53543	−	27.6461i	0.370058	−	1.19861i
$533$	2.51421	+	2.51421i	0.108902	+	0.108902i
$534$	−34.3953	−	8.53500i	−1.48843	−	0.369346i
$535$	7.62525	+	30.2118i	0.329668	+	1.30617i
$536$	0.204410	+	0.0427350i	0.00882917	+	0.00184587i
$537$	73.1826	−	19.6092i	3.15806	−	0.846201i
$538$	12.1724	+	6.72955i	0.524789	+	0.290132i
$539$	−8.84292	+	3.47077i	−0.380891	+	0.149497i
$540$	−11.8809	−	40.6482i	−0.511273	−	1.74922i
$541$	−13.3900	−	7.73073i	−0.575682	−	0.332370i	0.183733	−	0.982976i	$-0.441182\pi$
$541$	−13.3900	−	7.73073i	−0.575682	−	0.332370i	−0.759416	+	0.650606i	$0.774515\pi$
$542$	11.2022	−	0.208023i	0.481178	−	0.00893536i
$543$	−9.55292	+	35.6520i	−0.409955	+	1.52997i
$544$	18.5147	−	22.3164i	0.793813	−	0.956806i
$545$	10.8710	−	6.06696i	0.465664	−	0.259880i
$546$	15.3335	−	3.19737i	0.656214	−	0.136835i
$547$	−25.8070	−	25.8070i	−1.10343	−	1.10343i	−0.993994	−	0.109435i	$-0.965096\pi$
$547$	−25.8070	−	25.8070i	−1.10343	−	1.10343i	−0.109435	−	0.993994i	$-0.534904\pi$
$548$	−20.2790	−	18.8262i	−0.866276	−	0.804213i
$549$	32.0110	+	55.4447i	1.36620	+	2.36632i
$550$	−8.25928	−	4.88563i	−0.352177	−	0.208324i
$551$	−4.68252	−	2.70346i	−0.199482	−	0.115171i
$552$	−4.11526	−	73.8023i	−0.175157	−	3.14124i
$553$	1.30255	+	6.88378i	0.0553899	+	0.292728i
$554$	−6.11063	+	1.75957i	−0.259616	+	0.0747568i
$555$	−67.5631	−	0.984436i	−2.86789	−	0.0417870i
$556$	4.48944	+	2.37426i	0.190395	+	0.100691i
$557$	−30.6173	−	8.20388i	−1.29730	−	0.347609i	−0.456869	−	0.889534i	$-0.651029\pi$
$557$	−30.6173	−	8.20388i	−1.29730	−	0.347609i	−0.840427	+	0.541925i	$0.817696\pi$
$558$	5.24514	−	3.15956i	0.222045	−	0.133755i
$559$	−4.19719			−0.177522
$560$	−6.46899	+	22.7630i	−0.273365	+	0.961910i
$561$	21.0233			0.887604
$562$	−19.1981	+	11.5645i	−0.809825	+	0.487821i
$563$	−35.1622	−	9.42168i	−1.48191	−	0.397077i	−0.574913	−	0.818214i	$-0.694964\pi$
$563$	−35.1622	−	9.42168i	−1.48191	−	0.397077i	−0.906997	+	0.421138i	$0.861631\pi$
$564$	18.4432	+	9.75377i	0.776599	+	0.410708i
$565$	−13.5947	−	13.9967i	−0.571931	−	0.588845i
$566$	−30.0348	+	8.64857i	−1.26246	+	0.363526i
$567$	−25.5176	−	8.92875i	−1.07164	−	0.374972i
$568$	1.32653	−	0.0739681i	0.0556599	−	0.00310363i
$569$	5.57138	+	3.21664i	0.233564	+	0.134848i	0.612215	−	0.790691i	$-0.290279\pi$
$569$	5.57138	+	3.21664i	0.233564	+	0.134848i	−0.378651	+	0.925540i	$0.623612\pi$
$570$	13.3231	−	50.5296i	0.558042	−	2.11645i
$571$	−0.522796	−	0.905509i	−0.0218783	−	0.0378944i	0.854879	−	0.518828i	$-0.173631\pi$
$571$	−0.522796	−	0.905509i	−0.0218783	−	0.0378944i	−0.876757	+	0.480933i	$0.840298\pi$
$572$	2.75532	+	2.55792i	0.115206	+	0.106952i
$573$	41.9254	+	41.9254i	1.75146	+	1.75146i
$574$	−3.00323	+	9.12290i	−0.125352	+	0.380783i
$575$	−42.0719	+	9.96897i	−1.75452	+	0.415735i
$576$	−44.9573	−	19.6572i	−1.87322	−	0.819050i
$577$	−7.52425	+	28.0809i	−0.313239	+	1.16902i	0.612379	+	0.790564i	$0.290213\pi$
$577$	−7.52425	+	28.0809i	−0.313239	+	1.16902i	−0.925618	+	0.378459i	$0.876454\pi$
$578$	13.1153	−	0.243548i	0.545523	−	0.0101302i
$579$	15.1218	+	8.73056i	0.628439	+	0.362830i
$580$	3.87866	+	2.12413i	0.161053	+	0.0881996i
$581$	0.501129	−	6.68791i	0.0207903	−	0.277461i
$582$	−7.45136	−	4.11951i	−0.308869	−	0.170759i
$583$	5.88410	−	1.57664i	0.243694	−	0.0652977i
$584$	4.49242	−	21.4881i	0.185898	−	0.889186i
$585$	18.4195	−	4.64897i	0.761554	−	0.192211i
$586$	2.11190	+	0.524056i	0.0872417	+	0.0216486i
$587$	−8.71567	−	8.71567i	−0.359734	−	0.359734i	0.503981	−	0.863715i	$-0.331868\pi$
$587$	−8.71567	−	8.71567i	−0.359734	−	0.359734i	−0.863715	+	0.503981i	$0.831868\pi$
$588$	26.3717	+	33.0858i	1.08755	+	1.36444i
$589$	3.86006			0.159051
$590$	−12.9764	−	7.42294i	−0.534232	−	0.305598i
$591$	−5.07032	+	2.92735i	−0.208565	+	0.120415i
$592$	−26.1048	+	30.3019i	−1.07290	+	1.24540i
$593$	3.20467	+	11.9600i	0.131600	+	0.491138i	0.999989	−	0.00474638i	$-0.00151082\pi$
$593$	3.20467	+	11.9600i	0.131600	+	0.491138i	−0.868389	+	0.495884i	$0.834844\pi$
$594$	−5.02892	−	17.4644i	−0.206339	−	0.716575i
$595$	−27.5111	+	12.7586i	−1.12785	+	0.523051i
$596$	15.8825	+	25.2917i	0.650571	+	1.03599i
$597$	10.7522	+	40.1278i	0.440059	+	1.64232i
$598$	16.9367	−	0.314510i	0.692592	−	0.0128613i
$599$	0.467946	+	0.810507i	0.0191198	+	0.0331164i	0.875427	−	0.483350i	$-0.160580\pi$
$599$	0.467946	+	0.810507i	0.0191198	+	0.0331164i	−0.856307	+	0.516467i	$0.827247\pi$
$600$	−9.96141	+	41.5625i	−0.406673	+	1.69678i
$601$	35.1730			1.43474			0.717368	−	0.696695i	$-0.245347\pi$
$601$	35.1730			1.43474			0.717368	+	0.696695i	$0.245347\pi$
$602$	−5.10806	−	10.1216i	−0.208189	−	0.412526i
$603$	0.320207	−	0.320207i	0.0130398	−	0.0130398i
$604$	0.494585	+	13.3123i	0.0201244	+	0.541672i
$605$	17.5839	+	10.4966i	0.714887	+	0.426747i
$606$	15.7666	−	16.3632i	0.640474	−	0.664711i
$607$	−0.385531	−	1.43882i	−0.0156482	−	0.0584000i	0.957660	−	0.287901i	$-0.0929573\pi$
$607$	−0.385531	−	1.43882i	−0.0156482	−	0.0584000i	−0.973308	+	0.229501i	$0.926291\pi$
$608$	−17.8824	−	25.2383i	−0.725228	−	1.02355i
$609$	7.12356	−	3.43060i	0.288661	−	0.139015i
$610$	−0.131971	−	33.0086i	−0.00534333	−	1.33648i
$611$	−2.39066	+	4.14074i	−0.0967156	+	0.167516i
$612$	−18.5180	−	60.0902i	−0.748545	−	2.42900i
$613$	4.47124	−	16.6869i	0.180592	−	0.673977i	−0.814940	−	0.579546i	$-0.803230\pi$
$613$	4.47124	−	16.6869i	0.180592	−	0.673977i	0.995531	−	0.0944314i	$-0.0301033\pi$
$614$	10.3486	+	2.56795i	0.417635	+	0.103634i
$615$	−4.73324	+	16.6882i	−0.190863	+	0.672935i
$616$	−2.81521	+	9.75756i	−0.113428	+	0.393143i
$617$	22.1207	+	22.1207i	0.890548	+	0.890548i	0.994574	−	0.104027i	$-0.0331728\pi$
$617$	22.1207	+	22.1207i	0.890548	+	0.890548i	−0.104027	+	0.994574i	$0.533173\pi$
$618$	−35.3567	+	21.2981i	−1.42225	+	0.856734i
$619$	−28.3694	+	16.3791i	−1.14026	+	0.658330i	−0.946495	−	0.322718i	$-0.895403\pi$
$619$	−28.3694	+	16.3791i	−1.14026	+	0.658330i	−0.193765	+	0.981048i	$0.562070\pi$
$620$	−3.15626	+	0.0712353i	−0.126759	+	0.00286088i
$621$	−70.9156	−	40.9431i	−2.84574	−	1.64299i
$622$	−18.0284	+	32.6097i	−0.722872	+	1.30753i
$623$	21.5553	−	4.07868i	0.863594	−	0.163409i
$624$	7.27328	−	15.0827i	0.291164	−	0.603791i
$625$	24.9576	+	1.45613i	0.998302	+	0.0582454i
$626$	28.0840	+	27.0600i	1.12246	+	1.08154i
$627$	5.80426	−	21.6618i	0.231800	−	0.865088i
$628$	−6.15578	+	6.63083i	−0.245642	+	0.264599i
$629$	−51.2543			−2.04364
$630$	33.6280	+	38.7612i	1.33977	+	1.54428i
$631$		−	3.01524i		−	0.120035i	−0.998197	−	0.0600173i	$-0.980884\pi$
$631$		−	3.01524i		−	0.120035i	0.998197	−	0.0600173i	$-0.0191156\pi$
$632$	6.68466	+	3.37791i	0.265902	+	0.134366i
$633$	−3.01633	−	0.808222i	−0.119888	−	0.0321239i
$634$	23.9415	+	23.0686i	0.950839	+	0.916170i
$635$	−14.2272	−	14.6479i	−0.564589	−	0.581286i
$636$	−14.4287	−	22.9766i	−0.572134	−	0.911082i
$637$	−7.80146	+	5.75795i	−0.309105	+	0.228138i
$638$	1.66087	+	0.918219i	0.0657546	+	0.0363526i
$639$	1.44051	−	2.49503i	0.0569856	−	0.0987019i
$640$	15.0877	+	20.3067i	0.596395	+	0.802691i
$641$	9.40222	+	16.2851i	0.371365	+	0.643224i	0.989776	−	0.142632i	$-0.0455564\pi$
$641$	9.40222	+	16.2851i	0.371365	+	0.643224i	−0.618410	+	0.785855i	$0.712223\pi$
$642$	51.0160	−	30.7309i	2.01344	−	1.21285i
$643$	−21.8656	+	21.8656i	−0.862295	+	0.862295i	−0.991604	−	0.129309i	$-0.958724\pi$
$643$	−21.8656	+	21.8656i	−0.862295	+	0.862295i	0.129309	+	0.991604i	$0.458724\pi$
$644$	21.3707	+	40.4604i	0.842124	+	1.59436i
$645$	−9.97878	−	17.8804i	−0.392914	−	0.704040i
$646$	9.54652	−	38.4716i	0.375603	−	1.51364i
$647$	−17.1162	−	4.58626i	−0.672905	−	0.180304i	−0.0938422	−	0.995587i	$-0.529915\pi$
$647$	−17.1162	−	4.58626i	−0.672905	−	0.180304i	−0.579063	+	0.815283i	$0.696582\pi$
$648$	−24.1859	+	15.8217i	−0.950110	+	0.621534i
$649$	−5.55607	−	3.20780i	−0.218095	−	0.125917i
$650$	−9.43359	−	2.63492i	−0.370016	−	0.103350i
$651$	−3.17968	+	4.66382i	−0.124621	+	0.182789i
$652$	−41.6691	−	9.52229i	−1.63189	−	0.372922i
$653$	36.2183	−	9.70467i	1.41733	−	0.379773i	0.532796	−	0.846244i	$-0.321141\pi$
$653$	36.2183	−	9.70467i	1.41733	−	0.379773i	0.884537	+	0.466471i	$0.154475\pi$
$654$	−17.1354	−	16.5106i	−0.670048	−	0.645616i
$655$	12.3711	+	7.38487i	0.483381	+	0.288551i
$656$	5.77949	+	8.48660i	0.225651	+	0.331346i
$657$	−33.6610	−	33.6610i	−1.31324	−	1.31324i
$658$	−12.8950	−	0.725762i	−0.502698	−	0.0282931i
$659$		−	0.807555i		−	0.0314579i	−0.999876	−	0.0157289i	$-0.994993\pi$
$659$		−	0.807555i		−	0.0314579i	0.999876	−	0.0157289i	$-0.00500688\pi$
$660$	−4.34622	+	17.8194i	−0.169177	+	0.693618i
$661$	6.65697	−	3.84340i	0.258926	−	0.149491i	−0.364919	−	0.931039i	$-0.618903\pi$
$661$	6.65697	−	3.84340i	0.258926	−	0.149491i	0.623845	+	0.781548i	$0.285570\pi$
$662$	−0.0659320	−	3.55050i	−0.00256252	−	0.137994i
$663$	20.7271	−	5.55382i	0.804975	−	0.215692i
$664$	−5.34415	−	4.77964i	−0.207393	−	0.185486i
$665$	5.55060	+	31.8691i	0.215243	+	1.23583i
$666$	23.9989	+	83.3435i	0.929939	+	3.22950i
$667$	8.25946	−	2.21312i	0.319808	−	0.0856922i
$668$	3.71044	+	12.0402i	0.143561	+	0.465851i
$669$	−35.8559	−	62.1043i	−1.38627	−	2.40109i
$670$	−0.225279	+	0.0613298i	−0.00870330	+	0.00236938i
$671$		−	14.1658i		−	0.546863i
$672$	45.2240	−	0.816259i	1.74455	−	0.0314879i
$673$	−16.1805	+	16.1805i	−0.623714	+	0.623714i	−0.946479	−	0.322765i	$-0.895388\pi$
$673$	−16.1805	+	16.1805i	−0.623714	+	0.623714i	0.322765	+	0.946479i	$0.395388\pi$
$674$	24.8252	+	6.16024i	0.956231	+	0.237284i
$675$	32.4901	+	34.4410i	1.25055	+	1.32563i
$676$	−19.5915	−	10.3611i	−0.753521	−	0.398502i
$677$	7.06553	+	26.3689i	0.271551	+	1.01344i	0.958118	+	0.286374i	$0.0924500\pi$
$677$	7.06553	+	26.3689i	0.271551	+	1.01344i	−0.686567	+	0.727066i	$0.740883\pi$
$678$	−18.0446	+	32.6390i	−0.692997	+	1.25349i
$679$	5.25594	+	0.393831i	0.201705	+	0.0151139i
$680$	−7.09595	+	31.6333i	−0.272117	+	1.21308i
$681$	−5.02789	+	8.70856i	−0.192669	+	0.333713i
$682$	−1.35462	+	0.0251550i	−0.0518712	+	0.000963236i
$683$	2.91017	+	0.779778i	0.111355	+	0.0298374i	0.314066	−	0.949401i	$-0.398309\pi$
$683$	2.91017	+	0.779778i	0.111355	+	0.0298374i	−0.202711	+	0.979239i	$0.564975\pi$
$684$	−67.0278	+	2.49024i	−2.56287	+	0.0952167i
$685$	29.7627	+	8.44151i	1.13717	+	0.322534i
$686$	−23.3800	−	11.8058i	−0.892651	−	0.450749i
$687$	23.9462	−	23.9462i	0.913605	−	0.913605i
$688$	−11.9078	−	2.25961i	−0.453981	−	0.0861468i
$689$	5.38470	−	3.10886i	0.205141	−	0.118438i
$690$	41.6066	+	71.4040i	1.58394	+	2.71830i
$691$	13.9243	−	24.1176i	0.529706	−	0.917478i	−0.469693	−	0.882830i	$-0.655636\pi$
$691$	13.9243	−	24.1176i	0.529706	−	0.917478i	0.999400	−	0.0346484i	$-0.0110311\pi$
$692$	−3.40515	+	14.9008i	−0.129444	+	0.566442i
$693$	14.3649	+	16.6920i	0.545676	+	0.634076i
$694$	0.835236	+	2.90061i	0.0317051	+	0.110106i
$695$	−5.67744	−	0.0827239i	−0.215358	−	0.00313789i
$696$	1.72972	−	8.27362i	0.0655650	−	0.313611i
$697$	−3.40552	+	12.7096i	−0.128993	+	0.481409i
$698$	−25.4752	+	15.3457i	−0.964249	+	0.580842i
$699$		−	75.0606i		−	2.83905i
$700$	−5.12670	−	25.9561i	−0.193771	−	0.981047i
$701$		−	33.0286i		−	1.24747i	−0.781634	−	0.623737i	$-0.785614\pi$
$701$		−	33.0286i		−	1.24747i	0.781634	−	0.623737i	$-0.214386\pi$
$702$	−9.57174	−	15.8899i	−0.361262	−	0.599726i
$703$	−14.1506	+	52.8109i	−0.533702	+	1.99180i
$704$	6.44002	+	8.74043i	0.242717	+	0.329417i
$705$	−23.3237	−	0.339841i	−0.878421	−	0.0127991i
$706$	−36.6741	+	10.5604i	−1.38025	+	0.397445i
$707$	−4.64576	+	13.2772i	−0.174722	+	0.499340i
$708$	−6.36571	+	27.8560i	−0.239238	+	1.04689i
$709$	10.4804	−	18.1525i	0.393599	−	0.681733i	−0.599322	−	0.800508i	$-0.704563\pi$
$709$	10.4804	−	18.1525i	0.393599	−	0.681733i	0.992921	+	0.118775i	$0.0378966\pi$
$710$	−1.28342	+	0.747842i	−0.0481660	+	0.0280660i
$711$	14.0652	−	8.12056i	0.527487	−	0.304545i
$712$	10.5773	−	20.9318i	0.396400	−	0.784452i
$713$	−4.31655	+	4.31655i	−0.161656	+	0.161656i
$714$	38.6185	+	43.2248i	1.44526	+	1.61765i
$715$	−4.04388	−	1.14695i	−0.151232	−	0.0428936i
$716$	1.86151	+	50.1048i	0.0695679	+	1.87250i
$717$	42.3758	+	11.3546i	1.58255	+	0.424044i
$718$	−0.0123394	−	0.664486i	−0.000460500	−	0.0247984i
$719$	16.9756	−	29.4026i	0.633083	−	1.09653i	−0.353834	−	0.935308i	$-0.615122\pi$
$719$	16.9756	−	29.4026i	0.633083	−	1.09653i	0.986918	−	0.161224i	$-0.0515443\pi$
$720$	54.7608	−	3.27316i	2.04081	−	0.121984i
$721$	14.3934	−	21.1117i	0.536040	−	0.786241i
$722$	−13.4887	−	7.45727i	−0.501998	−	0.277531i
$723$	11.9851	+	44.7291i	0.445731	+	1.66349i
$724$	−21.5925	−	11.4193i	−0.802478	−	0.424394i
$725$	−4.94208	−	0.144049i	−0.183544	−	0.00534985i
$726$	9.42703	−	37.9900i	0.349870	−	1.40994i
$727$	−19.5217	+	19.5217i	−0.724020	+	0.724020i	−0.969421	−	0.245402i	$-0.921080\pi$
$727$	−19.5217	+	19.5217i	−0.724020	+	0.724020i	0.245402	+	0.969421i	$0.421080\pi$
$728$	−0.197848	+	10.3638i	−0.00733274	+	0.384108i
$729$		−	23.1831i		−	0.858635i
$730$	6.44716	+	23.6820i	0.238620	+	0.876510i
$731$	−7.76603	−	13.4512i	−0.287237	−	0.497509i
$732$	−60.2941	+	18.5808i	−2.22854	+	0.686766i
$733$	−37.7399	+	10.1124i	−1.39395	+	0.373509i	−0.876170	−	0.482002i	$-0.839910\pi$
$733$	−37.7399	+	10.1124i	−1.39395	+	0.373509i	−0.517784	+	0.855511i	$0.673243\pi$
$734$	−24.8096	+	7.14396i	−0.915738	+	0.263688i
$735$	−43.0773	−	19.5454i	−1.58893	−	0.720944i
$736$	48.2203	+	8.22578i	1.77742	+	0.303206i
$737$	−0.0967833	+	0.0259330i	−0.00356506	+	0.000955254i
$738$	22.2613	−	0.413387i	0.819450	−	0.0152170i
$739$	25.0735	−	14.4762i	0.922343	−	0.532515i	0.0379611	−	0.999279i	$-0.487914\pi$
$739$	25.0735	−	14.4762i	0.922343	−	0.532515i	0.884382	+	0.466764i	$0.154580\pi$
$740$	10.5960	−	43.4432i	0.389517	−	1.59700i
$741$		−	22.8900i		−	0.840884i
$742$	14.0504	+	9.20178i	0.515805	+	0.337808i
$743$	8.09172	+	8.09172i	0.296856	+	0.296856i	0.839781	−	0.542925i	$-0.182683\pi$
$743$	8.09172	+	8.09172i	0.296856	+	0.296856i	−0.542925	+	0.839781i	$0.682683\pi$
$744$	1.88389	+	5.73272i	0.0690666	+	0.210172i
$745$	−28.6704	−	17.1146i	−1.05040	−	0.627030i
$746$	23.7812	−	24.6811i	0.870692	−	0.903641i
$747$	−15.0176	+	4.02395i	−0.549465	+	0.147229i
$748$	−3.09948	+	13.5632i	−0.113328	+	0.495919i
$749$	−20.7683	+	30.4620i	−0.758856	+	1.11306i
$750$	−11.2033	−	46.4524i	−0.409086	−	1.69620i
$751$	−32.0511	−	18.5047i	−1.16956	−	0.675246i	−0.215984	−	0.976397i	$-0.569296\pi$
$751$	−32.0511	−	18.5047i	−1.16956	−	0.675246i	−0.953576	+	0.301151i	$0.902629\pi$
$752$	−9.01174	+	10.4606i	−0.328624	+	0.381460i
$753$	−60.6490	−	16.2509i	−2.21017	−	0.592214i
$754$	1.88005	+	0.466523i	0.0684672	+	0.0169898i
$755$	−7.25825	−	13.0056i	−0.264155	−	0.473324i
$756$	26.6699	−	42.4208i	0.969974	−	1.54283i
$757$	20.1774	−	20.1774i	0.733360	−	0.733360i	−0.237924	−	0.971284i	$-0.576467\pi$
$757$	20.1774	−	20.1774i	0.733360	−	0.733360i	0.971284	+	0.237924i	$0.0764670\pi$
$758$	19.6468	+	32.6154i	0.713604	+	1.18464i
$759$	17.7329	+	30.7142i	0.643662	+	1.11486i
$760$	30.6349	+	16.0450i	1.11125	+	0.582013i
$761$	2.03831	−	3.53045i	0.0738885	−	0.127979i	−0.826714	−	0.562623i	$-0.809792\pi$
$761$	2.03831	−	3.53045i	0.0738885	−	0.127979i	0.900602	+	0.434644i	$0.143126\pi$
$762$	−18.8842	+	34.1576i	−0.684101	+	1.23740i
$763$	13.9038	+	4.86499i	0.503350	+	0.176125i
$764$	−33.2293	+	20.8671i	−1.20219	+	0.754945i
$765$	48.9806	+	50.4291i	1.77090	+	1.82327i
$766$	−31.8877	+	33.0944i	−1.15215	+	1.19575i
$767$	−6.32522	−	1.69484i	−0.228390	−	0.0611970i
$768$	28.7550	−	38.8754i	1.03761	−	1.40279i
$769$			49.9743i			1.80212i	0.433695	+	0.901060i	$0.357210\pi$
$769$			49.9743i			1.80212i	−0.433695	+	0.901060i	$0.642790\pi$
$770$	−2.15557	−	11.1478i	−0.0776815	−	0.401738i
$771$	0.920030			0.0331341
$772$	−7.86194	+	8.46866i	−0.282957	+	0.304794i
$773$	−7.71930	+	28.8088i	−0.277644	+	1.03618i	0.676405	+	0.736530i	$0.263537\pi$
$773$	−7.71930	+	28.8088i	−0.277644	+	1.03618i	−0.954049	+	0.299652i	$0.903130\pi$
$774$	−18.2363	+	18.9264i	−0.655492	+	0.680297i
$775$	3.10694	−	1.67504i	0.111604	−	0.0601693i
$776$	3.75626	−	4.19990i	0.134842	−	0.150768i
$777$	−52.1511	−	60.5995i	−1.87091	−	2.17400i
$778$	−28.0688	−	15.5179i	−1.00632	−	0.556345i
$779$	12.1553	+	7.01789i	0.435510	+	0.251442i
$780$	0.422422	+	18.7165i	0.0151251	+	0.670158i
$781$	−0.552060	+	0.318732i	−0.0197543	+	0.0114051i
$782$	32.3458	+	53.6968i	1.15668	+	1.92019i
$783$	−6.62120	−	6.62120i	−0.236622	−	0.236622i
$784$	−25.2333	+	12.1358i	−0.901191	+	0.433423i
$785$	2.76021	−	9.73181i	0.0985160	−	0.347343i
$786$	6.63238	−	26.7279i	0.236569	−	0.953352i
$787$	8.00525	−	29.8760i	0.285356	−	1.06496i	−0.663222	−	0.748423i	$-0.730812\pi$
$787$	8.00525	−	29.8760i	0.285356	−	1.06496i	0.948579	−	0.316542i	$-0.102522\pi$
$788$	−1.14106	−	3.70270i	−0.0406485	−	0.131903i
$789$	34.9870	−	60.5992i	1.24557	−	2.15739i
$790$	−8.37362	+	0.0334783i	−0.297920	+	0.00119110i
$791$	1.72509	−	23.0225i	0.0613371	−	0.818585i
$792$	23.5061	−	1.31071i	0.835252	−	0.0465741i
$793$	−3.74224	−	13.9662i	−0.132891	−	0.495955i
$794$	−29.6364	−	28.5558i	−1.05176	−	1.01341i
$795$	26.0461	+	15.5480i	0.923759	+	0.551431i
$796$	−27.4736	+	1.02071i	−0.973778	+	0.0361781i
$797$	33.3424	−	33.3424i	1.18105	−	1.18105i	0.201574	−	0.979473i	$-0.435394\pi$
$797$	33.3424	−	33.3424i	1.18105	−	1.18105i	0.979473	−	0.201574i	$-0.0646056\pi$
$798$	55.1996	−	27.8575i	1.95405	−	0.986146i
$799$	−17.6937			−0.625958
$800$	−25.3455	−	12.5542i	−0.896097	−	0.443858i
$801$	−25.4280	−	44.0426i	−0.898455	−	1.55617i
$802$	−0.143465	−	7.72572i	−0.00506592	−	0.272805i
$803$	2.72615	+	10.1741i	0.0962037	+	0.359037i
$804$	0.237327	+	0.377926i	0.00836988	+	0.0133284i
$805$	−41.8450	−	29.4310i	−1.47484	−	1.03731i
$806$	−1.32890	+	0.382658i	−0.0468083	+	0.0134785i
$807$	7.69282	+	28.7100i	0.270800	+	1.01064i
$808$	8.23225	+	12.5843i	0.289610	+	0.442713i
$809$	−5.89412	+	3.40297i	−0.207226	+	0.119642i	−0.600022	−	0.799984i	$-0.704841\pi$
$809$	−5.89412	+	3.40297i	−0.207226	+	0.119642i	0.392796	+	0.919626i	$0.371508\pi$
$810$	16.0443	−	28.0479i	0.563738	−	0.985502i
$811$	20.0913			0.705502			0.352751	−	0.935717i	$-0.385246\pi$
$811$	20.0913			0.705502			0.352751	+	0.935717i	$0.385246\pi$
$812$	1.16302	+	5.10154i	0.0408140	+	0.179029i
$813$	16.9303	+	16.9303i	0.593773	+	0.593773i
$814$	4.62178	−	18.6253i	0.161993	−	0.652818i
$815$	46.3353	−	11.6947i	1.62306	−	0.409648i
$816$	61.7948	−	4.59799i	2.16325	−	0.160962i
$817$	−16.0038	+	4.28820i	−0.559901	+	0.150025i
$818$	15.0399	−	27.2042i	0.525858	−	0.951172i
$819$	18.5721	+	12.6620i	0.648962	+	0.442446i
$820$	−10.0686	−	5.51401i	−0.351611	−	0.192558i
$821$	28.1496	+	16.2522i	0.982428	+	0.567205i	0.903002	−	0.429636i	$-0.141358\pi$
$821$	28.1496	+	16.2522i	0.982428	+	0.567205i	0.0794257	+	0.996841i	$0.474691\pi$
$822$	−1.09787	−	59.1213i	−0.0382926	−	2.06209i
$823$	7.72562	−	28.8324i	0.269298	−	1.00503i	−0.690268	−	0.723553i	$-0.742508\pi$
$823$	7.72562	−	28.8324i	0.269298	−	1.00503i	0.959567	−	0.281481i	$-0.0908258\pi$
$824$	−8.52779	−	25.9503i	−0.297080	−	0.904023i
$825$	−4.72816	−	19.9542i	−0.164613	−	0.694715i
$826$	−3.61078	−	17.3161i	−0.125635	−	0.602503i
$827$	−18.9206	−	18.9206i	−0.657935	−	0.657935i	0.296956	−	0.954891i	$-0.404028\pi$
$827$	−18.9206	−	18.9206i	−0.657935	−	0.657935i	−0.954891	+	0.296956i	$0.904028\pi$
$828$	72.1699	−	77.7393i	2.50808	−	2.70163i
$829$	−18.6280	−	32.2646i	−0.646976	−	1.12060i	−0.983841	−	0.179043i	$-0.942700\pi$
$829$	−18.6280	−	32.2646i	−0.646976	−	1.12060i	0.336865	−	0.941553i	$-0.390633\pi$
$830$	7.75108	+	2.04372i	0.269044	+	0.0709385i
$831$	−11.7683	−	6.79444i	−0.408238	−	0.235696i
$832$	8.65830	+	6.91601i	0.300172	+	0.239770i
$833$	−32.8881	−	14.3482i	−1.13951	−	0.497137i
$834$	3.00308	+	10.4291i	0.103988	+	0.361130i
$835$	−9.81422	−	10.1044i	−0.339635	−	0.349679i
$836$	13.1194	+	6.93823i	0.453743	+	0.239964i
$837$	6.45713	+	1.73018i	0.223191	+	0.0598039i
$838$	8.15804	+	13.5431i	0.281815	+	0.467837i
$839$	39.0561			1.34837			0.674183	−	0.738564i	$-0.264496\pi$
$839$	39.0561			1.34837			0.674183	+	0.738564i	$0.264496\pi$
$840$	−44.6211	+	23.7970i	−1.53958	+	0.821075i
$841$	−28.0222			−0.966283
$842$	−22.5427	−	37.4229i	−0.776873	−	1.28968i
$843$	−46.2625	−	12.3960i	−1.59337	−	0.426941i
$844$	0.966124	−	1.82683i	0.0332554	−	0.0628819i
$845$	24.7759	+	0.361000i	0.852317	+	0.0124188i
$846$	8.28475	+	28.7713i	0.284836	+	0.989178i
$847$	4.50496	+	23.8081i	0.154792	+	0.818056i
$848$	16.9506	−	5.92120i	0.582086	−	0.203335i
$849$	−57.8433	−	33.3958i	−1.98518	−	1.14614i
$850$	−9.01053	−	35.1082i	−0.309058	−	1.20420i
$851$	−43.2323	−	74.8806i	−1.48198	−	2.56687i
$852$	2.08075	+	1.93168i	0.0712853	+	0.0661782i
$853$	−30.2625	−	30.2625i	−1.03617	−	1.03617i	−0.999321	−	0.0368476i	$-0.988268\pi$
$853$	−30.2625	−	30.2625i	−1.03617	−	1.03617i	−0.0368476	−	0.999321i	$-0.511732\pi$
$854$	29.1255	−	26.0216i	0.996653	−	0.890442i
$855$	65.4835	−	36.5454i	2.23949	−	1.24982i
$856$	12.3047	+	37.4437i	0.420567	+	1.27980i
$857$	−5.62418	+	20.9897i	−0.192118	+	0.716995i	0.800876	+	0.598831i	$0.204368\pi$
$857$	−5.62418	+	20.9897i	−0.192118	+	0.716995i	−0.992994	+	0.118165i	$0.962299\pi$
$858$	0.149168	+	8.03286i	0.00509252	+	0.274237i
$859$	25.8411	+	14.9194i	0.881686	+	0.509042i	0.871214	−	0.490903i	$-0.163333\pi$
$859$	25.8411	+	14.9194i	0.881686	+	0.509042i	0.0104722	+	0.999945i	$0.496667\pi$
$860$	13.0067	−	3.80168i	0.443525	−	0.129636i
$861$	−18.4920	+	8.90548i	−0.630206	+	0.303498i
$862$	21.1565	−	38.2679i	0.720593	−	1.30341i
$863$	25.5076	−	6.83475i	0.868289	−	0.232657i	0.202942	−	0.979191i	$-0.434950\pi$
$863$	25.5076	−	6.83475i	0.868289	−	0.232657i	0.665348	+	0.746533i	$0.268283\pi$
$864$	−18.6014	−	50.2342i	−0.632832	−	1.70900i
$865$	−4.18201	−	16.5694i	−0.142193	−	0.563377i
$866$	−11.2947	+	45.5167i	−0.383811	+	1.54672i
$867$	19.8216	+	19.8216i	0.673175	+	0.673175i
$868$	−2.54008	−	2.73896i	−0.0862159	−	0.0929663i
$869$	−3.59358			−0.121904
$870$	2.48236	+	9.11832i	0.0841599	+	0.309140i
$871$	−0.0885690	+	0.0511353i	−0.00300105	+	0.00173266i
$872$	13.1781	−	8.62074i	0.446267	−	0.291935i
$873$	−3.16237	−	11.8021i	−0.107030	−	0.399442i
$874$	64.2578	−	18.5032i	2.17355	−	0.625879i
$875$	18.2970	+	23.2426i	0.618552	+	0.785744i
$876$	39.7286	−	24.9485i	1.34230	−	0.842930i
$877$	7.86751	+	29.3619i	0.265667	+	0.991483i	0.961841	+	0.273609i	$0.0882176\pi$
$877$	7.86751	+	29.3619i	0.265667	+	0.991483i	−0.696174	+	0.717873i	$0.745116\pi$
$878$	0.934104	+	50.3024i	0.0315245	+	1.69762i
$879$	2.32498	+	4.02698i	0.0784196	+	0.135827i
$880$	−10.8554	−	5.43109i	−0.365935	−	0.183082i
$881$	16.2220			0.546534			0.273267	−	0.961938i	$-0.411896\pi$
$881$	16.2220			0.546534			0.273267	+	0.961938i	$0.411896\pi$
$882$	−7.93208	+	60.1969i	−0.267087	+	2.02694i
$883$	−20.2083	+	20.2083i	−0.680064	+	0.680064i	−0.960014	−	0.279951i	$-0.909682\pi$
$883$	−20.2083	+	20.2083i	−0.680064	+	0.680064i	0.279951	+	0.960014i	$0.409682\pi$
$884$	0.527226	+	14.1909i	0.0177325	+	0.477292i
$885$	−7.81800	−	30.9755i	−0.262799	−	1.04123i
$886$	25.6029	+	24.6693i	0.860145	+	0.828782i
$887$	4.71443	+	17.5945i	0.158295	+	0.590765i	0.998801	+	0.0489624i	$0.0155915\pi$
$887$	4.71443	+	17.5945i	0.158295	+	0.590765i	−0.840506	+	0.541803i	$0.817742\pi$
$888$	−85.3378	+	4.75849i	−2.86375	+	0.159684i
$889$	1.80536	−	24.0937i	0.0605497	−	0.808077i
$890$	0.104831	+	26.2204i	0.00351395	+	0.878911i
$891$	6.93348	−	12.0091i	0.232280	−	0.402321i
$892$	45.3529	−	13.9764i	1.51853	−	0.467963i
$893$	−4.88499	+	18.2310i	−0.163470	+	0.610079i
$894$	−15.3707	+	61.9424i	−0.514072	+	2.07166i
$895$	−27.3185	−	48.9504i	−0.913156	−	1.63623i
$896$	−6.14080	+	29.2966i	−0.205150	+	0.978731i
$897$	25.5970	+	25.5970i	0.854658	+	0.854658i
$898$	−1.63268	−	2.71039i	−0.0544832	−	0.0904469i
$899$	−0.604538	+	0.349030i	−0.0201625	+	0.0116408i
$900$	−52.8696	+	31.0906i	−1.76232	+	1.03635i
$901$	19.9266	+	11.5046i	0.663850	+	0.383274i
$902$	−4.31145	−	2.38360i	−0.143556	−	0.0793652i
$903$	8.00181	−	22.8685i	0.266284	−	0.761017i
$904$	−18.3967	−	16.4534i	−0.611865	−	0.547233i
$905$	27.3063	+	0.397870i	0.907693	+	0.0132256i
$906$	−19.7526	+	20.5001i	−0.656236	+	0.681069i
$907$	−4.48602	+	16.7421i	−0.148956	+	0.555911i	0.850591	+	0.525827i	$0.176244\pi$
$907$	−4.48602	+	16.7421i	−0.148956	+	0.555911i	−0.999547	+	0.0300840i	$0.990423\pi$
$908$	−4.87706	−	4.52765i	−0.161851	−	0.150255i
$909$	32.6089			1.08157
$910$	−5.07016	−	10.4213i	−0.168074	−	0.345462i
$911$			32.9738i			1.09247i	0.837632	+	0.546235i	$0.183940\pi$
$911$			32.9738i			1.09247i	−0.837632	+	0.546235i	$0.816060\pi$
$912$	12.3231	−	64.9410i	0.408059	−	2.15041i
$913$	3.32285	+	0.890355i	0.109970	+	0.0294664i
$914$	−0.347422	+	0.360569i	−0.0114917	+	0.0119266i
$915$	50.6002	−	49.1468i	1.67279	−	1.62474i
$916$	11.9185	+	18.9793i	0.393798	+	0.627094i
$917$	3.16946	+	16.7502i	0.104665	+	0.553140i
$918$	33.2135	−	60.0766i	1.09621	−	1.98282i
$919$	−9.23379	+	15.9934i	−0.304595	+	0.527573i	−0.977171	−	0.212454i	$-0.931854\pi$
$919$	−9.23379	+	15.9934i	−0.304595	+	0.527573i	0.672576	+	0.740028i	$0.265188\pi$
$920$	−52.2004	+	16.3154i	−1.72100	+	0.537902i
$921$	11.3927	+	19.7327i	0.375402	+	0.650216i
$922$	−17.9140	−	29.7388i	−0.589966	−	0.979394i
$923$	−0.460082	+	0.460082i	−0.0151438	+	0.0151438i
$924$	−19.1899	+	10.1359i	−0.631300	+	0.333445i
$925$	11.5271	+	48.6478i	0.379010	+	1.59953i
$926$	−6.08868	−	1.51087i	−0.200087	−	0.0496504i
$927$	−57.2149	−	15.3307i	−1.87918	−	0.503526i
$928$	5.08271	+	2.33572i	0.166848	+	0.0766737i
$929$	−21.8236	−	12.5998i	−0.716008	−	0.413388i	0.0972734	−	0.995258i	$-0.468988\pi$
$929$	−21.8236	−	12.5998i	−0.716008	−	0.413388i	−0.813282	+	0.581870i	$0.802321\pi$
$930$	−4.78959	−	4.75145i	−0.157057	−	0.155806i
$931$	−23.8640	+	29.9256i	−0.782110	+	0.980771i
$932$	48.4253	+	11.0662i	1.58622	+	0.362487i
$933$	−76.9137	+	20.6090i	−2.51804	+	0.674707i
$934$	−12.0084	+	12.4628i	−0.392925	+	0.407794i
$935$	−3.80661	−	15.0820i	−0.124489	−	0.493236i
$936$	22.8287	−	7.50195i	0.746179	−	0.245209i
$937$	21.5978	+	21.5978i	0.705569	+	0.705569i	0.965600	−	0.260032i	$-0.0837330\pi$
$937$	21.5978	+	21.5978i	0.705569	+	0.705569i	−0.260032	+	0.965600i	$0.583733\pi$
$938$	−0.231104	−	0.151353i	−0.00754582	−	0.00494186i
$939$			83.3411i			2.71973i
$940$	3.65788	−	14.9972i	0.119307	−	0.489154i
$941$	−33.0116	+	19.0592i	−1.07615	+	0.621314i	−0.929854	−	0.367928i	$-0.880067\pi$
$941$	−33.0116	+	19.0592i	−1.07615	+	0.621314i	−0.146292	+	0.989241i	$0.546734\pi$
$942$	−19.3315	+	0.358982i	−0.629854	+	0.0116963i
$943$	−21.4407	+	5.74502i	−0.698205	+	0.187083i
$944$	−17.0328	−	8.21368i	−0.554371	−	0.267332i
$945$	−4.99953	+	55.7988i	−0.162635	+	1.81514i
$946$	5.58832	−	1.60917i	0.181692	−	0.0523185i
$947$	27.6599	−	7.41145i	0.898827	−	0.240840i	0.220314	−	0.975429i	$-0.429292\pi$
$947$	27.6599	−	7.41145i	0.898827	−	0.240840i	0.678512	+	0.734589i	$0.262625\pi$
$948$	4.71358	+	15.2954i	0.153090	+	0.496772i
$949$	5.37549	+	9.31062i	0.174496	+	0.302235i
$950$	−38.6621	−	0.408734i	−1.25436	−	0.0132611i
$951$			71.0479i			2.30389i
$952$	−33.5801	+	18.5420i	−1.08834	+	0.600951i
$953$	29.2258	−	29.2258i	0.946717	−	0.946717i	−0.0519340	−	0.998651i	$-0.516539\pi$
$953$	29.2258	−	29.2258i	0.946717	−	0.946717i	0.998651	+	0.0519340i	$0.0165385\pi$
$954$	9.37713	−	37.7890i	0.303596	−	1.22346i
$955$	22.4859	−	37.6684i	0.727626	−	1.21892i
$956$	−13.5729	+	25.6647i	−0.438979	+	0.830056i
$957$	1.04965	+	3.91736i	0.0339305	+	0.126630i
$958$	−3.97566	−	2.19796i	−0.128448	−	0.0710128i
$959$	15.8825	+	32.9796i	0.512873	+	1.06497i
$960$	−8.87781	+	53.3279i	−0.286530	+	1.72115i
$961$	−15.2508	+	26.4152i	−0.491962	+	0.852103i
$962$	−0.363669	−	19.5839i	−0.0117252	−	0.631411i
$963$	82.5552	+	22.1206i	2.66031	+	0.712827i
$964$	−30.6239	+	1.13775i	−0.986330	+	0.0366445i
$965$	3.52523	−	12.4291i	0.113481	−	0.400107i
$966$	−30.5757	+	92.8797i	−0.983755	+	2.98835i
$967$	−15.5559	+	15.5559i	−0.500243	+	0.500243i	−0.911513	−	0.411270i	$-0.865085\pi$
$967$	−15.5559	+	15.5559i	−0.500243	+	0.500243i	0.411270	+	0.911513i	$0.365085\pi$
$968$	23.1194	+	11.6828i	0.743087	+	0.375498i
$969$	73.3579	−	42.3532i	2.35659	−	1.36058i
$970$	−1.60613	+	6.09148i	−0.0515698	+	0.195586i
$971$	−13.8746	+	24.0315i	−0.445258	+	0.771209i	−0.998070	−	0.0620967i	$-0.980221\pi$
$971$	−13.8746	+	24.0315i	−0.445258	+	0.771209i	0.552812	+	0.833306i	$0.313555\pi$
$972$	−4.82008	−	1.10149i	−0.154604	−	0.0353304i
$973$	−4.38234	−	5.09228i	−0.140491	−	0.163251i
$974$	38.4916	−	11.0837i	1.23335	−	0.355146i
$975$	−9.93293	−	18.4240i	−0.318108	−	0.590040i
$976$	−3.09819	−	41.6382i	−0.0991706	−	1.33280i
$977$	3.19065	−	11.9077i	0.102078	−	0.380960i	−0.895919	−	0.444217i	$-0.853482\pi$
$977$	3.19065	−	11.9077i	0.102078	−	0.380960i	0.997997	+	0.0632569i	$0.0201487\pi$
$978$	−47.1315	−	78.2424i	−1.50710	−	2.50192i
$979$			11.2526i			0.359635i
$980$	18.9607	−	24.9097i	0.605676	−	0.795712i
$981$		−	34.1478i		−	1.09026i
$982$	−16.4818	+	9.92826i	−0.525954	+	0.316823i
$983$	13.3562	−	49.8461i	0.425997	−	1.58984i	−0.335739	−	0.941955i	$-0.608986\pi$
$983$	13.3562	−	49.8461i	0.425997	−	1.58984i	0.761736	−	0.647888i	$-0.224347\pi$
$984$	−4.49018	+	21.4774i	−0.143142	+	0.684676i
$985$	3.01814	+	3.10739i	0.0961658	+	0.0990096i
$986$	1.98352	+	6.88839i	0.0631682	+	0.219371i
$987$	−18.0033	−	20.9198i	−0.573050	−	0.665884i
$988$	14.7675	+	3.37469i	0.469815	+	0.107363i
$989$	13.1011	−	22.6918i	0.416590	−	0.721556i
$990$	−22.7422	+	13.2517i	−0.722795	+	0.421168i
$991$	43.0251	−	24.8406i	1.36674	−	0.789087i	0.376228	−	0.926527i	$-0.377221\pi$
$991$	43.0251	−	24.8406i	1.36674	−	0.789087i	0.990510	+	0.137440i	$0.0438875\pi$
$992$	−3.97621	+	0.370208i	−0.126245	+	0.0117541i
$993$	5.36600	−	5.36600i	0.170285	−	0.170285i
$994$	−1.66943	−	0.549569i	−0.0529510	−	0.0174313i
$995$	26.8407	−	14.9794i	0.850907	−	0.474878i
$996$	−0.568839	−	15.3110i	−0.0180244	−	0.485147i
$997$	36.0590	+	9.66197i	1.14200	+	0.305998i	0.779755	−	0.626085i	$-0.215344\pi$
$997$	36.0590	+	9.66197i	1.14200	+	0.305998i	0.362245	+	0.932083i	$0.382011\pi$
$998$	−6.51530	+	0.120988i	−0.206238	+	0.00382980i
$999$	−47.3426	+	81.9999i	−1.49785	+	2.59436i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	280.2.br.a.107.8	yes	176
5.3	odd	4	inner	280.2.br.a.163.30	yes	176
7.4	even	3	inner	280.2.br.a.67.22	✓	176
8.3	odd	2	inner	280.2.br.a.107.1	yes	176
35.18	odd	12	inner	280.2.br.a.123.1	yes	176
40.3	even	4	inner	280.2.br.a.163.22	yes	176
56.11	odd	6	inner	280.2.br.a.67.30	yes	176
280.123	even	12	inner	280.2.br.a.123.8	yes	176

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
280.2.br.a.67.22	✓	176	7.4	even	3	inner
280.2.br.a.67.30	yes	176	56.11	odd	6	inner
280.2.br.a.107.1	yes	176	8.3	odd	2	inner
280.2.br.a.107.8	yes	176	1.1	even	1	trivial
280.2.br.a.123.1	yes	176	35.18	odd	12	inner
280.2.br.a.123.8	yes	176	280.123	even	12	inner
280.2.br.a.163.22	yes	176	40.3	even	4	inner
280.2.br.a.163.30	yes	176	5.3	odd	4	inner

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.br (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.21141 + 0.729724i) q^{2} +(-2.91917 - 0.782189i) q^{3} +(0.935005 - 1.76798i) q^{4} +(-0.0325774 + 2.23583i) q^{5} +(4.10708 - 1.18264i) q^{6} +(-2.00539 + 1.72581i) q^{7} +(0.157470 + 2.82404i) q^{8} +(5.31166 + 3.06669i) q^{9} +O(q^{10})\)	\(q+(-1.21141 + 0.729724i) q^{2} +(-2.91917 - 0.782189i) q^{3} +(0.935005 - 1.76798i) q^{4} +(-0.0325774 + 2.23583i) q^{5} +(4.10708 - 1.18264i) q^{6} +(-2.00539 + 1.72581i) q^{7} +(0.157470 + 2.82404i) q^{8} +(5.31166 + 3.06669i) q^{9} +(-1.59208 - 2.73227i) q^{10} +(-0.678547 - 1.17528i) q^{11} +(-4.11234 + 4.42969i) q^{12} +(-0.979466 - 0.979466i) q^{13} +(1.16997 - 3.55403i) q^{14} +(1.84394 - 6.50129i) q^{15} +(-2.25153 - 3.30615i) q^{16} +(1.32670 - 4.95130i) q^{17} +(-8.67240 + 0.161045i) q^{18} +(-4.73539 - 2.73398i) q^{19} +(3.92245 + 2.14811i) q^{20} +(7.20398 - 3.46933i) q^{21} +(1.67962 + 0.928585i) q^{22} +(8.35271 - 2.23810i) q^{23} +(1.74925 - 8.36702i) q^{24} +(-4.99788 - 0.145675i) q^{25} +(1.90127 + 0.471790i) q^{26} +(-6.69595 - 6.69595i) q^{27} +(1.17615 + 5.15913i) q^{28} +0.988836 q^{29} +(2.51039 + 9.22126i) q^{30} +(-0.611363 + 0.352971i) q^{31} +(5.14009 + 2.36209i) q^{32} +(1.06150 + 3.96159i) q^{33} +(2.00592 + 6.96615i) q^{34} +(-3.79328 - 4.53993i) q^{35} +(10.3883 - 6.52355i) q^{36} +(-2.58792 - 9.65826i) q^{37} +(7.73152 - 0.143573i) q^{38} +(2.09310 + 3.62536i) q^{39} +(-6.31921 + 0.260077i) q^{40} -2.56691 q^{41} +(-6.19528 + 9.45969i) q^{42} +(2.14259 - 2.14259i) q^{43} +(-2.71232 + 0.100769i) q^{44} +(-7.02963 + 11.7761i) q^{45} +(-8.48532 + 8.80642i) q^{46} +(-0.893386 - 3.33416i) q^{47} +(3.98657 + 11.4123i) q^{48} +(1.04317 - 6.92183i) q^{49} +(6.16076 - 3.47060i) q^{50} +(-7.74571 + 13.4160i) q^{51} +(-2.64749 + 0.815874i) q^{52} +(-1.16178 + 4.33581i) q^{53} +(12.9977 + 3.22531i) q^{54} +(2.64983 - 1.47883i) q^{55} +(-5.18954 - 5.39154i) q^{56} +(11.6849 + 11.6849i) q^{57} +(-1.19788 + 0.721578i) q^{58} +(4.09410 - 2.36373i) q^{59} +(-9.77007 - 9.33880i) q^{60} +(9.03985 + 5.21916i) q^{61} +(0.483037 - 0.873717i) q^{62} +(-15.9444 + 3.01700i) q^{63} +(-7.95041 + 0.889404i) q^{64} +(2.22183 - 2.15801i) q^{65} +(-4.17678 - 4.02448i) q^{66} +(0.0191092 - 0.0713166i) q^{67} +(-7.51335 - 6.97507i) q^{68} -26.1336 q^{69} +(7.90810 + 2.73165i) q^{70} -0.469728i q^{71} +(-7.82402 + 15.4832i) q^{72} +(-7.49699 - 2.00881i) q^{73} +(10.1829 + 9.81159i) q^{74} +(14.4757 + 4.33454i) q^{75} +(-9.26124 + 5.81580i) q^{76} +(3.38905 + 1.18585i) q^{77} +(-5.18110 - 2.86439i) q^{78} +(1.32400 - 2.29323i) q^{79} +(7.46533 - 4.92634i) q^{80} +(5.10907 + 8.84916i) q^{81} +(3.10957 - 1.87314i) q^{82} +(-1.79243 + 1.79243i) q^{83} +(0.602035 - 15.9804i) q^{84} +(11.0270 + 3.12757i) q^{85} +(-1.03204 + 4.15904i) q^{86} +(-2.88658 - 0.773457i) q^{87} +(3.21218 - 2.10131i) q^{88} +(-7.18082 - 4.14585i) q^{89} +(-0.0775436 - 19.3953i) q^{90} +(3.65458 + 0.273840i) q^{91} +(3.85290 - 16.8601i) q^{92} +(2.06076 - 0.552180i) q^{93} +(3.51527 + 3.38710i) q^{94} +(6.26698 - 10.4985i) q^{95} +(-13.1572 - 10.9159i) q^{96} +(-1.40865 - 1.40865i) q^{97} +(3.78733 + 9.14637i) q^{98} -8.32356i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 176 q - 2 q^{2} - 4 q^{3} - 16 q^{6} - 20 q^{8}+O(q^{10}) \) 176 * q - 2 * q^2 - 4 * q^3 - 16 * q^6 - 20 * q^8	\( 176 q - 2 q^{2} - 4 q^{3} - 16 q^{6} - 20 q^{8} - 2 q^{10} - 8 q^{11} - 14 q^{12} + 4 q^{16} - 4 q^{17} - 16 q^{18} + 8 q^{20} - 4 q^{25} - 20 q^{26} - 40 q^{27} - 34 q^{28} - 12 q^{30} + 18 q^{32} + 20 q^{33} - 32 q^{35} - 48 q^{36} - 16 q^{38} - 22 q^{40} - 32 q^{41} + 30 q^{42} - 16 q^{43} + 20 q^{46} + 36 q^{48} + 68 q^{50} - 8 q^{51} - 32 q^{52} - 52 q^{56} - 40 q^{57} - 14 q^{58} - 50 q^{60} + 56 q^{62} - 4 q^{65} - 60 q^{66} - 28 q^{67} - 40 q^{68} + 64 q^{70} - 48 q^{72} - 4 q^{73} - 4 q^{75} - 144 q^{76} + 184 q^{78} - 40 q^{80} + 32 q^{81} + 74 q^{82} - 16 q^{83} - 56 q^{86} - 64 q^{88} - 56 q^{90} + 16 q^{91} + 44 q^{92} - 104 q^{96} - 48 q^{97} + 70 q^{98}+O(q^{100}) \) 176 * q - 2 * q^2 - 4 * q^3 - 16 * q^6 - 20 * q^8 - 2 * q^10 - 8 * q^11 - 14 * q^12 + 4 * q^16 - 4 * q^17 - 16 * q^18 + 8 * q^20 - 4 * q^25 - 20 * q^26 - 40 * q^27 - 34 * q^28 - 12 * q^30 + 18 * q^32 + 20 * q^33 - 32 * q^35 - 48 * q^36 - 16 * q^38 - 22 * q^40 - 32 * q^41 + 30 * q^42 - 16 * q^43 + 20 * q^46 + 36 * q^48 + 68 * q^50 - 8 * q^51 - 32 * q^52 - 52 * q^56 - 40 * q^57 - 14 * q^58 - 50 * q^60 + 56 * q^62 - 4 * q^65 - 60 * q^66 - 28 * q^67 - 40 * q^68 + 64 * q^70 - 48 * q^72 - 4 * q^73 - 4 * q^75 - 144 * q^76 + 184 * q^78 - 40 * q^80 + 32 * q^81 + 74 * q^82 - 16 * q^83 - 56 * q^86 - 64 * q^88 - 56 * q^90 + 16 * q^91 + 44 * q^92 - 104 * q^96 - 48 * q^97 + 70 * q^98

Introduction

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