LMFDB - Embedded newform 280.2.br.a.107.1

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			107.1
Character	$\chi$	$=$	280.107
Dual form			280.2.br.a.123.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.41397 - 0.0262571i) q^{2} +(-2.91917 - 0.782189i) q^{3} +(1.99862 + 0.0742535i) q^{4} +(0.0325774 - 2.23583i) q^{5} +(4.10708 + 1.18264i) q^{6} +(2.00539 - 1.72581i) q^{7} +(-2.82404 - 0.157470i) q^{8} +(5.31166 + 3.06669i) q^{9} +O(q^{10})$	\(q+(-1.41397 - 0.0262571i) q^{2} +(-2.91917 - 0.782189i) q^{3} +(1.99862 + 0.0742535i) q^{4} +(0.0325774 - 2.23583i) q^{5} +(4.10708 + 1.18264i) q^{6} +(2.00539 - 1.72581i) q^{7} +(-2.82404 - 0.157470i) q^{8} +(5.31166 + 3.06669i) q^{9} +(-0.104770 + 3.16054i) q^{10} +(-0.678547 - 1.17528i) q^{11} +(-5.77623 - 1.78006i) q^{12} +(0.979466 + 0.979466i) q^{13} +(-2.88087 + 2.38758i) q^{14} +(-1.84394 + 6.50129i) q^{15} +(3.98897 + 0.296809i) q^{16} +(1.32670 - 4.95130i) q^{17} +(-7.43000 - 4.47567i) q^{18} +(-4.73539 - 2.73398i) q^{19} +(0.231128 - 4.46616i) q^{20} +(-7.20398 + 3.46933i) q^{21} +(0.928585 + 1.67962i) q^{22} +(-8.35271 + 2.23810i) q^{23} +(8.12068 + 2.66862i) q^{24} +(-4.99788 - 0.145675i) q^{25} +(-1.35922 - 1.41065i) q^{26} +(-6.69595 - 6.69595i) q^{27} +(4.13616 - 3.30033i) q^{28} -0.988836 q^{29} +(2.77798 - 9.14421i) q^{30} +(0.611363 - 0.352971i) q^{31} +(-5.63249 - 0.524418i) 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} +(6.62391 + 3.99010i) q^{38} +(-2.09310 - 3.62536i) q^{39} +(-0.444077 + 6.30895i) q^{40} -2.56691 q^{41} +(10.2773 - 4.71638i) q^{42} +(2.14259 - 2.14259i) q^{43} +(-1.26889 - 2.39932i) q^{44} +(7.02963 - 11.7761i) q^{45} +(11.8692 - 2.94529i) q^{46} +(0.893386 + 3.33416i) q^{47} +(-11.4123 - 3.98657i) q^{48} +(1.04317 - 6.92183i) q^{49} +(7.06302 + 0.337210i) q^{50} +(-7.74571 + 13.4160i) q^{51} +(1.88485 + 2.03031i) q^{52} +(1.16178 - 4.33581i) q^{53} +(9.29206 + 9.64369i) q^{54} +(-2.64983 + 1.47883i) q^{55} +(-5.93506 + 4.55796i) q^{56} +(11.6849 + 11.6849i) q^{57} +(1.39818 + 0.0259640i) q^{58} +(4.09410 - 2.36373i) q^{59} +(-4.16808 + 12.8567i) q^{60} +(-9.03985 - 5.21916i) q^{61} +(-0.873717 + 0.483037i) q^{62} +(15.9444 - 3.01700i) q^{63} +(7.95041 + 0.889404i) q^{64} +(2.22183 - 2.15801i) q^{65} +(-1.39691 - 5.62944i) q^{66} +(0.0191092 - 0.0713166i) q^{67} +(3.01922 - 9.79726i) q^{68} +26.1336 q^{69} +(5.24438 + 6.51893i) q^{70} +0.469728i q^{71} +(-14.5174 - 9.49687i) q^{72} +(-7.49699 - 2.00881i) q^{73} +(-3.40565 - 13.7244i) q^{74} +(14.4757 + 4.33454i) q^{75} +(-9.26124 - 5.81580i) q^{76} +(-3.38905 - 1.18585i) q^{77} +(2.86439 + 5.18110i) q^{78} +(-1.32400 + 2.29323i) q^{79} +(0.793565 - 8.90900i) q^{80} +(5.10907 + 8.84916i) q^{81} +(3.62954 + 0.0673997i) q^{82} +(-1.79243 + 1.79243i) q^{83} +(-14.6556 + 6.39896i) q^{84} +(-11.0270 - 3.12757i) q^{85} +(-3.08581 + 2.97330i) q^{86} +(2.88658 + 0.773457i) q^{87} +(1.73117 + 3.42588i) q^{88} +(-7.18082 - 4.14585i) q^{89} +(-10.2489 + 16.4664i) q^{90} +(3.65458 + 0.273840i) q^{91} +(-16.8601 + 3.85290i) q^{92} +(-2.06076 + 0.552180i) q^{93} +(-1.17568 - 4.73786i) q^{94} +(-6.26698 + 10.4985i) q^{95} +(16.0320 + 5.93654i) q^{96} +(-1.40865 - 1.40865i) q^{97} +(-1.65676 + 9.75987i) 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 $

$2$	−1.41397	−	0.0262571i	−0.999828	−	0.0185666i
$2$	−1.41397	−	0.0262571i	−0.999828	−	0.0185666i
$3$	−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	$0.920783\pi$
$4$	1.99862	+	0.0742535i	0.999311	+	0.0371267i
$5$	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
$8$	−2.82404	−	0.157470i	−0.998449	−	0.0556741i
$9$	5.31166	+	3.06669i	1.77055	+	1.02223i
$10$	−0.104770	+	3.16054i	−0.0331312	+	0.999451i
$11$	−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	$0.898919\pi$
$12$	−5.77623	−	1.78006i	−1.66746	−	0.513859i
$13$	0.979466	+	0.979466i	0.271655	+	0.271655i	0.829766	−	0.558111i	$-0.188474\pi$
$13$	0.979466	+	0.979466i	0.271655	+	0.271655i	−0.558111	+	0.829766i	$0.688474\pi$
$14$	−2.88087	+	2.38758i	−0.769946	+	0.638109i
$15$	−1.84394	+	6.50129i	−0.476104	+	1.67863i
$16$	3.98897	+	0.296809i	0.997243	+	0.0742023i
$17$	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	$-0.130190\pi$
$18$	−7.43000	−	4.47567i	−1.75127	−	1.05493i
$19$	−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	$0.882473\pi$
$20$	0.231128	−	4.46616i	0.0516818	−	0.998664i
$21$	−7.20398	+	3.46933i	−1.57204	+	0.757071i
$22$	0.928585	+	1.67962i	0.197975	+	0.358097i
$23$	−8.35271	+	2.23810i	−1.74166	+	0.466676i	−0.982815	−	0.184594i	$-0.940903\pi$
$23$	−8.35271	+	2.23810i	−1.74166	+	0.466676i	−0.758845	+	0.651271i	$0.774236\pi$
$24$	8.12068	+	2.66862i	1.65763	+	0.544729i
$25$	−4.99788	−	0.145675i	−0.999575	−	0.0291351i
$26$	−1.35922	−	1.41065i	−0.266565	−	0.276652i
$27$	−6.69595	−	6.69595i	−1.28864	−	1.28864i
$28$	4.13616	−	3.30033i	0.781661	−	0.623704i
$29$	−0.988836			−0.183622			−0.0918111	−	0.995776i	$-0.529266\pi$
$29$	−0.988836			−0.183622			−0.0918111	+	0.995776i	$0.529266\pi$
$30$	2.77798	−	9.14421i	0.507188	−	1.66950i
$31$	0.611363	−	0.352971i	0.109804	−	0.0633954i	−0.444092	−	0.895981i	$-0.646474\pi$
$31$	0.611363	−	0.352971i	0.109804	−	0.0633954i	0.553896	+	0.832586i	$0.313140\pi$
$32$	−5.63249	−	0.524418i	−0.995694	−	0.0927049i
$33$	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	$0.223758\pi$
$37$	2.58792	+	9.65826i	0.425452	+	1.58781i	−0.337483	+	0.941332i	$0.609575\pi$
$38$	6.62391	+	3.99010i	1.07454	+	0.647280i
$39$	−2.09310	−	3.62536i	−0.335164	−	0.580522i
$40$	−0.444077	+	6.30895i	−0.0702147	+	0.997532i
$41$	−2.56691			−0.400885			−0.200442	−	0.979706i	$-0.564238\pi$
$41$	−2.56691			−0.400885			−0.200442	+	0.979706i	$0.564238\pi$
$42$	10.2773	−	4.71638i	1.58582	−	0.727753i
$43$	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	$0.175787\pi$
$44$	−1.26889	−	2.39932i	−0.191292	−	0.361711i
$45$	7.02963	−	11.7761i	1.04792	−	1.75547i
$46$	11.8692	−	2.94529i	1.75002	−	0.434259i
$47$	0.893386	+	3.33416i	0.130314	+	0.486337i	0.999973	−	0.00731459i	$-0.00232833\pi$
$47$	0.893386	+	3.33416i	0.130314	+	0.486337i	−0.869660	+	0.493652i	$0.835662\pi$
$48$	−11.4123	−	3.98657i	−1.64723	−	0.575411i
$49$	1.04317	−	6.92183i	0.149025	−	0.988833i
$50$	7.06302	+	0.337210i	0.998862	+	0.0476887i
$51$	−7.74571	+	13.4160i	−1.08462	+	1.87861i
$52$	1.88485	+	2.03031i	0.261382	+	0.281553i
$53$	1.16178	−	4.33581i	0.159582	−	0.595569i	−0.839087	−	0.543997i	$-0.816910\pi$
$53$	1.16178	−	4.33581i	0.159582	−	0.595569i	0.998669	−	0.0515718i	$-0.0164231\pi$
$54$	9.29206	+	9.64369i	1.26449	+	1.31234i
$55$	−2.64983	+	1.47883i	−0.357303	+	0.199405i
$56$	−5.93506	+	4.55796i	−0.793106	+	0.609083i
$57$	11.6849	+	11.6849i	1.54770	+	1.54770i
$58$	1.39818	+	0.0259640i	0.183591	+	0.00340924i
$59$	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	$0.233764\pi$
$60$	−4.16808	+	12.8567i	−0.538097	+	1.65979i
$61$	−9.03985	−	5.21916i	−1.15743	−	0.668245i	−0.206746	−	0.978395i	$-0.566287\pi$
$61$	−9.03985	−	5.21916i	−1.15743	−	0.668245i	−0.950688	+	0.310150i	$0.899621\pi$
$62$	−0.873717	+	0.483037i	−0.110962	+	0.0613458i
$63$	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
$66$	−1.39691	−	5.62944i	−0.171948	−	0.692936i
$67$	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	$0.0818977\pi$
$68$	3.01922	−	9.79726i	0.366134	−	1.18809i
$69$	26.1336			3.14611
$70$	5.24438	+	6.51893i	0.626824	+	0.779161i
$71$			0.469728i			0.0557464i	0.999611	+	0.0278732i	$0.00887346\pi$
$71$			0.469728i			0.0557464i	−0.999611	+	0.0278732i	$0.991127\pi$
$72$	−14.5174	−	9.49687i	−1.71089	−	1.11922i
$73$	−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	$0.733410\pi$
$74$	−3.40565	−	13.7244i	−0.395898	−	1.59543i
$75$	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
$78$	2.86439	+	5.18110i	0.324328	+	0.586644i
$79$	−1.32400	+	2.29323i	−0.148961	+	0.258009i	−0.930844	−	0.365417i	$-0.880926\pi$
$79$	−1.32400	+	2.29323i	−0.148961	+	0.258009i	0.781883	+	0.623426i	$0.214260\pi$
$80$	0.793565	−	8.90900i	0.0887233	−	0.996056i
$81$	5.10907	+	8.84916i	0.567674	+	0.983240i
$82$	3.62954	+	0.0673997i	0.400816	+	0.00744305i
$83$	−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	$0.294427\pi$
$84$	−14.6556	+	6.39896i	−1.59906	+	0.698184i
$85$	−11.0270	−	3.12757i	−1.19605	−	0.339233i
$86$	−3.08581	+	2.97330i	−0.332752	+	0.320619i
$87$	2.88658	+	0.773457i	0.309474	+	0.0829233i
$88$	1.73117	+	3.42588i	0.184544	+	0.365200i
$89$	−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	$0.811497\pi$
$90$	−10.2489	+	16.4664i	−1.08033	+	1.73571i
$91$	3.65458	+	0.273840i	0.383104	+	0.0287063i
$92$	−16.8601	+	3.85290i	−1.75779	+	0.401693i
$93$	−2.06076	+	0.552180i	−0.213691	+	0.0572584i
$94$	−1.17568	−	4.73786i	−0.121262	−	0.488673i
$95$	−6.26698	+	10.4985i	−0.642978	+	1.07712i
$96$	16.0320	+	5.93654i	1.63626	+	0.605896i
$97$	−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	$0.782247\pi$
$98$	−1.65676	+	9.75987i	−0.167358	+	0.985896i
$99$		−	8.32356i		−	0.836549i
$100$	−9.97805	−	0.662260i	−0.997805	−	0.0662260i
$101$	−4.60435	+	2.65832i	−0.458150	+	0.264513i	−0.711266	−	0.702923i	$-0.751878\pi$
$101$	−4.60435	+	2.65832i	−0.458150	+	0.264513i	0.253116	+	0.967436i	$0.418544\pi$
$102$	11.3045	−	18.7664i	1.11931	−	1.85815i
$103$	9.32846	−	2.49955i	0.919160	−	0.246288i	0.231934	−	0.972732i	$-0.425495\pi$
$103$	9.32846	−	2.49955i	0.919160	−	0.246288i	0.687226	+	0.726443i	$0.258828\pi$
$104$	−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	$0.181429\pi$
$108$	−12.8855	−	13.8799i	−1.23991	−	1.33559i
$109$	2.78377	+	4.82163i	0.266637	+	0.461829i	0.967991	−	0.250984i	$-0.0807542\pi$
$109$	2.78377	+	4.82163i	0.266637	+	0.461829i	−0.701354	+	0.712813i	$0.747421\pi$
$110$	3.78560	−	2.02144i	0.360943	−	0.192737i
$111$		−	30.2183i		−	2.86820i
$112$	8.51168	−	6.28898i	0.804278	−	0.594253i
$113$	−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	$0.384625\pi$
$114$	−16.2153	−	16.8289i	−1.51870	−	1.57617i
$115$	4.73191	+	18.7482i	0.441253	+	1.74827i
$116$	−1.97631	−	0.0734245i	−0.183496	−	0.00681730i
$117$	2.19887	+	8.20630i	0.203286	+	0.758673i
$118$	−5.85099	+	3.23474i	−0.538628	+	0.297782i
$119$	−5.88445	−	12.2189i	−0.539427	−	1.12011i
$120$	6.23112	−	18.0695i	0.568821	−	1.64951i
$121$	4.57915	−	7.93132i	0.416286	−	0.721029i
$122$	12.6450	+	7.61709i	1.14483	+	0.689619i
$123$	7.49326	+	2.00781i	0.675644	+	0.181038i
$124$	1.24809	−	0.660059i	0.112082	−	0.0592750i
$125$	−0.488523	+	11.1697i	−0.0436949	+	0.999045i
$126$	−22.6242	+	3.84729i	−2.01552	+	0.342744i
$127$	6.45736	−	6.45736i	0.572998	−	0.572998i	−0.359967	−	0.932965i	$-0.617212\pi$
$127$	6.45736	−	6.45736i	0.572998	−	0.572998i	0.932965	+	0.359967i	$0.117212\pi$
$128$	−11.2183	−	1.46635i	−0.991565	−	0.129608i
$129$	−7.93049	+	4.57867i	−0.698241	+	0.403129i
$130$	−3.19826	+	2.99303i	−0.280506	+	0.262506i
$131$	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	$0.0758422\pi$
$132$	1.82738	+	7.99653i	0.159053	+	0.696009i
$133$	−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
$136$	−4.52633	+	13.7738i	−0.388129	+	1.18109i
$137$	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	$-0.117939\pi$
$138$	−36.9521	−	0.686192i	−3.14557	−	0.0584126i
$139$			2.53930i			0.215380i	0.994184	+	0.107690i	$0.0343455\pi$
$139$			2.53930i			0.215380i	−0.994184	+	0.107690i	$0.965655\pi$
$140$	−7.24423	−	9.35527i	−0.612249	−	0.790665i
$141$		−	10.4318i		−	0.878514i
$142$	0.0123337	−	0.664181i	0.00103502	−	0.0557368i
$143$	0.486531	−	1.81576i	0.0406858	−	0.151841i
$144$	20.2778	+	13.8095i	1.68982	+	1.15079i
$145$	−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
$148$	4.45512	+	19.4954i	0.366208	+	1.60251i
$149$	7.46626	−	12.9319i	0.611660	−	1.05943i	−0.379301	−	0.925273i	$-0.623836\pi$
$149$	7.46626	−	12.9319i	0.611660	−	1.05943i	0.990961	−	0.134152i	$-0.0428312\pi$
$150$	−20.3544	−	6.50899i	−1.66193	−	0.531457i
$151$	5.76839	−	3.33038i	0.469425	−	0.271023i	−0.246574	−	0.969124i	$-0.579305\pi$
$151$	5.76839	−	3.33038i	0.469425	−	0.271023i	0.715999	+	0.698101i	$0.245972\pi$
$152$	12.9424	+	8.46655i	1.04977	+	0.686727i
$153$	22.2310	−	22.2310i	1.79727	−	1.79727i
$154$	4.76088	+	1.76574i	0.383643	+	0.142287i
$155$	−0.769266	−	1.37840i	−0.0617889	−	0.110716i
$156$	−3.91412	−	7.40113i	−0.313380	−	0.592565i
$157$	4.36972	+	1.17086i	0.348742	+	0.0934450i	0.428938	−	0.903334i	$-0.358888\pi$
$157$	4.36972	+	1.17086i	0.348742	+	0.0934450i	−0.0801961	+	0.996779i	$0.525555\pi$
$158$	1.93231	−	3.20779i	0.153726	−	0.255198i
$159$	−6.78284	+	11.7482i	−0.537914	+	0.931695i
$160$	−1.35600	+	12.5762i	−0.107201	+	0.994237i
$161$	−12.8879	+	18.9034i	−1.01571	+	1.48980i
$162$	−6.99171	−	12.6466i	−0.549321	−	0.993610i
$163$	−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	$-0.399013\pi$
$164$	−5.13029	−	0.190602i	−0.400608	−	0.0148835i
$165$	8.89202	−	2.24428i	0.692243	−	0.174717i
$166$	2.58151	−	2.48738i	0.200364	−	0.193058i
$167$	4.45442	−	4.45442i	0.344693	−	0.344693i	−0.513435	−	0.858128i	$-0.671627\pi$
$167$	4.45442	−	4.45442i	0.344693	−	0.344693i	0.858128	+	0.513435i	$0.171627\pi$
$168$	20.8906	−	8.66312i	1.61175	−	0.668375i
$169$		−	11.0813i		−	0.852407i
$170$	15.5098	+	4.71183i	1.18955	+	0.361381i
$171$	−16.7685	−	29.0439i	−1.28232	−	2.22104i
$172$	4.44132	−	4.12313i	0.338647	−	0.314386i
$173$	7.38203	−	1.97801i	0.561246	−	0.150385i	0.0329671	−	0.999456i	$-0.489504\pi$
$173$	7.38203	−	1.97801i	0.561246	−	0.150385i	0.528279	+	0.849071i	$0.322838\pi$
$174$	−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
$178$	10.0446	+	6.05065i	0.752875	+	0.453516i
$179$	−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	$0.947017\pi$
$180$	14.9240	−	23.0139i	1.11237	−	1.71536i
$181$			12.2131i			0.907789i	0.891055	+	0.453895i	$0.149966\pi$
$181$			12.2131i			0.907789i	−0.891055	+	0.453895i	$0.850034\pi$
$182$	−5.16028	−	0.483161i	−0.382505	−	0.0358142i
$183$	22.3065	+	22.3065i	1.64894	+	1.64894i
$184$	23.9408	−	5.00519i	1.76494	−	0.368987i
$185$	21.6785	−	5.47151i	1.59384	−	0.402274i
$186$	2.92835	−	0.726656i	0.214717	−	0.0532810i
$187$	−6.71938	+	1.80045i	−0.491370	+	0.131662i
$188$	1.53797	+	6.73006i	0.112168	+	0.490840i
$189$	−24.9839	−	1.87206i	−1.81731	−	0.136172i
$190$	9.13698	−	14.6800i	0.662866	−	1.06500i
$191$	16.9906	+	9.80950i	1.22939	+	0.709791i	0.966903	−	0.255144i	$-0.0821229\pi$
$191$	16.9906	+	9.80950i	1.22939	+	0.709791i	0.262490	+	0.964935i	$0.415456\pi$
$192$	−22.5129	−	8.81504i	−1.62473	−	0.636171i
$193$	−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	$0.650011\pi$
$194$	1.95480	+	2.02877i	0.140346	+	0.145657i
$195$	−8.17387	+	4.56171i	−0.585343	+	0.326671i
$196$	2.59888	−	13.7567i	0.185634	−	0.982619i
$197$	−1.36985	+	1.36985i	−0.0975981	+	0.0975981i	−0.754220	−	0.656622i	$-0.771985\pi$
$197$	−1.36985	+	1.36985i	−0.0975981	+	0.0975981i	0.656622	+	0.754220i	$0.271985\pi$
$198$	−0.218552	+	11.7693i	−0.0155318	+	0.836405i
$199$	6.87315	+	11.9046i	0.487225	+	0.843898i	0.999892	−	0.0146893i	$-0.00467593\pi$
$199$	6.87315	+	11.9046i	0.487225	+	0.843898i	−0.512667	+	0.858587i	$0.671343\pi$
$200$	14.0913	+	1.19841i	0.996403	+	0.0847403i
$201$	−0.111566	+	0.193238i	−0.00786927	+	0.0136300i
$202$	6.58021	−	3.63789i	0.462982	−	0.255961i
$203$	−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
$206$	−13.2558	+	3.28935i	−0.923575	+	0.229180i
$207$	−51.2303	−	13.7271i	−3.56075	−	0.954100i
$208$	3.61635	+	4.19778i	0.250749	+	0.291064i
$209$			7.42053i			0.513289i
$210$	−10.2102	−	23.1320i	−0.704572	−	1.59626i
$211$	1.03328			0.0711341			0.0355670	−	0.999367i	$-0.488676\pi$
$211$	1.03328			0.0711341			0.0355670	+	0.999367i	$0.488676\pi$
$212$	2.64390	−	8.57937i	0.181584	−	0.589234i
$213$	0.367416	−	1.37121i	0.0251749	−	0.0939541i
$214$	−19.1267	+	4.74620i	−1.30748	+	0.324444i
$215$	−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
$218$	−3.80956	−	6.89073i	−0.258016	−	0.466699i
$219$	20.3137	+	11.7281i	1.37267	+	0.792514i
$220$	−5.40581	+	2.75886i	−0.364459	+	0.186002i
$221$	6.14909	−	3.55018i	0.413632	−	0.238811i
$222$	−0.793446	+	42.7278i	−0.0532526	+	2.86770i
$223$	−16.7788	−	16.7788i	−1.12359	−	1.12359i	−0.991197	−	0.132393i	$-0.957734\pi$
$223$	−16.7788	−	16.7788i	−1.12359	−	1.12359i	−0.132393	−	0.991197i	$-0.542266\pi$
$224$	−12.2004	+	8.66894i	−0.815173	+	0.579218i
$225$	−26.1003	−	16.1007i	−1.74002	−	1.07338i
$226$	8.88658	−	8.56255i	0.591127	−	0.569573i
$227$	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	$0.0481130\pi$
$228$	22.4861	+	24.2214i	1.48918	+	1.60410i
$229$	5.60281	−	9.70436i	0.370244	−	0.641282i	−0.619359	−	0.785108i	$-0.712607\pi$
$229$	5.60281	−	9.70436i	0.370244	−	0.641282i	0.989603	+	0.143826i	$0.0459407\pi$
$230$	−6.19850	−	26.6336i	−0.408717	−	1.75617i
$231$	8.96567	+	6.11257i	0.589898	+	0.402178i
$232$	2.79251	+	0.155712i	0.183337	+	0.0102230i
$233$	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	$0.614194\pi$
$234$	−2.89367	−	11.6612i	−0.189165	−	0.762317i
$235$	7.48372	−	1.88884i	0.488184	−	0.123214i
$236$	8.35806	−	4.42019i	0.544063	−	0.287730i
$237$	5.65871	−	5.65871i	0.367573	−	0.367573i
$238$	7.99960	+	17.4317i	0.518537	+	1.12993i
$239$	14.5164			0.938987			0.469493	−	0.882936i	$-0.344437\pi$
$239$	14.5164			0.938987			0.469493	+	0.882936i	$0.344437\pi$
$240$	−9.28507	+	25.3862i	−0.599349	+	1.63867i
$241$	−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	$0.997618\pi$
$242$	−6.68303	+	11.0944i	−0.429602	+	0.713176i
$243$	−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
$248$	−1.78210	+	0.900532i	−0.113163	+	0.0571838i
$249$	6.63442	−	3.83039i	0.420440	−	0.242741i
$250$	0.984040	−	15.7807i	0.0622362	−	0.998061i
$251$	20.7761			1.31138			0.655689	−	0.755031i	$-0.272378\pi$
$251$	20.7761			1.31138			0.655689	+	0.755031i	$0.272378\pi$
$252$	32.0909	−	4.84591i	2.02154	−	0.305264i
$253$	8.29809	+	8.29809i	0.521697	+	0.521697i
$254$	−9.30007	+	8.96097i	−0.583538	+	0.562261i
$255$	29.7435	+	17.7551i	1.86261	+	1.11187i
$256$	15.8238	+	2.36793i	0.988988	+	0.147995i
$257$	−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	$0.419689\pi$
$258$	11.3337	−	6.26587i	0.705605	−	0.390096i
$259$	21.8581	+	14.9023i	1.35820	+	0.925984i
$260$	4.60084	−	4.14807i	0.285332	−	0.257252i
$261$	−5.25236	−	3.03245i	−0.325113	−	0.187704i
$262$	−4.70184	+	7.80547i	−0.290481	+	0.482223i
$263$	5.99262	−	22.3648i	0.369521	−	1.37907i	−0.491667	−	0.870784i	$-0.663612\pi$
$263$	5.99262	−	22.3648i	0.369521	−	1.37907i	0.861188	−	0.508287i	$-0.169721\pi$
$264$	−2.37390	−	11.3548i	−0.146103	−	0.698842i
$265$	−9.65628	−	2.73878i	−0.593181	−	0.168242i
$266$	20.1697	−	3.42989i	1.23668	−	0.210300i
$267$	17.7192	+	17.7192i	1.08440	+	1.08440i
$268$	0.0434876	−	0.141116i	0.00265643	−	0.00862002i
$269$	4.91750	+	8.51735i	0.299825	+	0.519312i	0.976096	−	0.217341i	$-0.0697384\pi$
$269$	4.91750	+	8.51735i	0.299825	+	0.519312i	−0.676271	+	0.736653i	$0.736405\pi$
$270$	21.8644	−	20.4613i	1.33062	−	1.24524i
$271$	6.86113	+	3.96127i	0.416784	+	0.240630i	0.693700	−	0.720264i	$-0.255979\pi$
$271$	6.86113	+	3.96127i	0.416784	+	0.240630i	−0.276916	+	0.960894i	$0.589313\pi$
$272$	6.76175	−	19.3568i	0.409991	−	1.17368i
$273$	−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
$276$	52.2312	+	1.94051i	3.14395	+	0.116805i
$277$	−4.34322	−	1.16376i	−0.260959	−	0.0699237i	0.125967	−	0.992034i	$-0.459797\pi$
$277$	−4.34322	−	1.16376i	−0.260959	−	0.0699237i	−0.386926	+	0.922111i	$0.626463\pi$
$278$	0.0666746	−	3.59049i	0.00399888	−	0.215343i
$279$	4.32980			0.259218
$280$	9.99748	+	13.4183i	0.597464	+	0.801896i
$281$	15.8478			0.945402			0.472701	−	0.881223i	$-0.343279\pi$
$281$	15.8478			0.945402			0.472701	+	0.881223i	$0.343279\pi$
$282$	−0.273908	+	14.7502i	−0.0163110	+	0.878363i
$283$	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	$0.355211\pi$
$284$	−0.0348789	+	0.938807i	−0.00206968	+	0.0557080i
$285$	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
$288$	−28.3096	−	20.0586i	−1.66816	−	1.18197i
$289$	−8.03282	−	4.63775i	−0.472519	−	0.272809i
$290$	0.103600	−	3.12526i	0.00608362	−	0.183521i
$291$	3.01025	+	5.21391i	0.176464	+	0.305645i
$292$	−14.8345	−	4.57153i	−0.868123	−	0.267529i
$293$	1.08797	+	1.08797i	0.0635601	+	0.0635601i	0.738172	−	0.674612i	$-0.235689\pi$
$293$	1.08797	+	1.08797i	0.0635601	+	0.0635601i	−0.674612	+	0.738172i	$0.735689\pi$
$294$	12.4704	−	27.1948i	0.727291	−	1.58603i
$295$	−5.15152	−	9.23071i	−0.299933	−	0.537433i
$296$	−5.78751	−	27.6828i	−0.336392	−	1.60903i
$297$	−3.32609	+	12.4131i	−0.192999	+	0.720282i
$298$	−10.8966	+	18.0893i	−0.631224	+	1.04789i
$299$	−10.3733	−	5.98905i	−0.599906	−	0.346356i
$300$	28.6096	+	9.73797i	1.65178	+	0.562222i
$301$	0.599027	−	7.99442i	0.0345274	−	0.460791i
$302$	−8.24378	+	4.55760i	−0.474376	+	0.262260i
$303$	15.5202	−	4.15862i	0.891611	−	0.238906i
$304$	−18.0779	−	12.3113i	−1.03684	−	0.706100i
$305$	−11.9636	+	20.0415i	−0.685036	+	1.14758i
$306$	−32.0177	+	30.8503i	−1.83033	+	1.76359i
$307$	−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	$0.819024\pi$
$308$	−6.68538	−	2.62171i	−0.380935	−	0.149386i
$309$	−29.1865			−1.66036
$310$	1.05153	+	1.96922i	0.0597227	+	0.111844i
$311$	−22.8179	+	13.1739i	−1.29388	+	0.747023i	−0.979340	−	0.202220i	$-0.935184\pi$
$311$	−22.8179	+	13.1739i	−1.29388	+	0.747023i	−0.314542	+	0.949243i	$0.601851\pi$
$312$	5.34011	+	10.5678i	0.302324	+	0.598281i
$313$	−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	$0.146196\pi$
$317$	6.08460	+	22.7080i	0.341745	+	1.27541i	−0.554623	+	0.832101i	$0.687138\pi$
$318$	9.89921	−	16.4335i	0.555120	−	0.921547i
$319$	0.670972	+	1.16216i	0.0375672	+	0.0650683i
$320$	2.24756	−	17.7468i	0.125642	−	0.992076i
$321$	−42.1131			−2.35052
$322$	18.7194	−	26.3905i	1.04319	−	1.47068i
$323$	−19.8192	+	19.8192i	−1.10277	+	1.10277i
$324$	9.55400	+	18.0655i	0.530778	+	1.00364i
$325$	−4.75257	−	5.03794i	−0.263625	−	0.279454i
$326$	7.27917	+	29.3344i	0.403156	+	1.62468i
$327$	−4.35487	−	16.2526i	−0.240825	−	0.898771i
$328$	7.24907	+	0.404212i	0.400263	+	0.0223189i
$329$	7.54571	+	5.14448i	0.416008	+	0.283624i
$330$	−12.6320	+	2.93987i	−0.695367	+	0.161835i
$331$	−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	$0.188650\pi$
$332$	−3.71548	+	3.44929i	−0.203914	+	0.189305i
$333$	−15.8727	+	59.2377i	−0.869818	+	3.24620i
$334$	−6.41538	+	6.18146i	−0.351034	+	0.338234i
$335$	−0.158829	−	0.0450483i	−0.00867777	−	0.00246125i
$336$	−29.7662	+	11.7009i	−1.62388	+	0.638335i
$337$	−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	$0.913959\pi$
$338$	−0.290963	+	15.6686i	−0.0158263	+	0.852260i
$339$	22.8384	−	13.1857i	1.24041	−	0.716151i
$340$	−21.8067	−	7.06962i	−1.18263	−	0.383404i
$341$	−0.829677	−	0.479014i	−0.0449295	−	0.0259401i
$342$	22.9475	+	41.5075i	1.24086	+	2.24447i
$343$	−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
$346$	−10.4899	+	2.60302i	−0.563941	+	0.139939i
$347$	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	$0.0650874\pi$
$348$	5.71175	+	1.76019i	0.306182	+	0.0943559i
$349$	−21.0294			−1.12568			−0.562840	−	0.826566i	$-0.690291\pi$
$349$	−21.0294			−1.12568			−0.562840	+	0.826566i	$0.690291\pi$
$350$	14.7461	−	11.5132i	0.788211	−	0.615406i
$351$		−	13.1169i		−	0.700130i
$352$	3.20557	+	6.97559i	0.170858	+	0.371800i
$353$	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	$0.328315\pi$
$354$	19.6102	−	4.86617i	1.04227	−	0.258634i
$355$	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
$358$	31.0278	−	17.1538i	1.63987	−	0.906607i
$359$	0.234972	−	0.406983i	0.0124013	−	0.0214797i	−0.859758	−	0.510701i	$-0.829386\pi$
$359$	0.234972	−	0.406983i	0.0124013	−	0.0214797i	0.872159	+	0.489222i	$0.162719\pi$
$360$	−21.7063	+	32.1491i	−1.14402	+	1.69441i
$361$	5.44927	+	9.43841i	0.286804	+	0.496758i
$362$	0.320679	−	17.2689i	0.0168545	−	0.907633i
$363$	−19.5711	+	19.5711i	−1.02722	+	1.02722i
$364$	7.28379	+	0.818668i	0.381774	+	0.0429099i
$365$	−4.73560	+	16.6966i	−0.247873	+	0.873938i
$366$	−30.9550	−	32.1264i	−1.61804	−	1.67927i
$367$	−17.6338	−	4.72496i	−0.920476	−	0.246641i	−0.232687	−	0.972552i	$-0.574752\pi$
$367$	−17.6338	−	4.72496i	−0.920476	−	0.246641i	−0.687789	+	0.725911i	$0.741418\pi$
$368$	−33.9830	+	6.44857i	−1.77149	+	0.336155i
$369$	−13.6346	−	7.87192i	−0.709787	−	0.409796i
$370$	−30.7965	+	7.16734i	−1.60103	+	0.372612i
$371$	−5.15296	−	10.7000i	−0.267528	−	0.555516i
$372$	−4.15969	+	0.950579i	−0.215670	+	0.0492852i
$373$	23.4095	−	6.27257i	1.21210	−	0.324781i	0.404515	−	0.914532i	$-0.367440\pi$
$373$	23.4095	−	6.27257i	1.21210	−	0.324781i	0.807586	+	0.589750i	$0.200774\pi$
$374$	9.54827	−	2.36935i	0.493729	−	0.122516i
$375$	10.1629	−	32.2240i	0.524808	−	1.66404i
$376$	−1.99793	−	9.55649i	−0.103035	−	0.492838i
$377$	−0.968532	−	0.968532i	−0.0498819	−	0.0498819i
$378$	35.2774	+	3.30304i	1.81447	+	0.169890i
$379$		−	26.9236i		−	1.38297i	−0.722390	−	0.691486i	$-0.756956\pi$
$379$		−	26.9236i		−	1.38297i	0.722390	−	0.691486i	$-0.243044\pi$
$380$	−13.3049	+	20.5171i	−0.682525	+	1.05250i
$381$	−23.9010	+	13.7993i	−1.22449	+	0.706958i
$382$	−23.7666	−	14.3165i	−1.21600	−	0.732494i
$383$	−31.3894	+	8.41075i	−1.60392	+	0.429769i	−0.946224	−	0.323513i	$-0.895136\pi$
$383$	−31.3894	+	8.41075i	−1.60392	+	0.429769i	−0.657698	+	0.753282i	$0.728470\pi$
$384$	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
$388$	−2.71076	−	2.91995i	−0.137618	−	0.148238i
$389$	−11.3395	−	19.6405i	−0.574933	−	0.995814i	−0.996049	−	0.0888068i	$-0.971695\pi$
$389$	−11.3395	−	19.6405i	−0.574933	−	0.995814i	0.421116	−	0.907007i	$-0.361639\pi$
$390$	11.6774	−	6.23550i	0.591307	−	0.315747i
$391$			44.3261i			2.24166i
$392$	−4.03594	+	19.3833i	−0.203846	+	0.979003i
$393$	−13.7692	+	13.7692i	−0.694566	+	0.694566i
$394$	1.97290	−	1.90096i	0.0993933	−	0.0957692i
$395$	5.08414	+	3.03494i	0.255811	+	0.152704i
$396$	0.618053	−	16.6356i	0.0310583	−	0.835972i
$397$	−7.53191	−	28.1095i	−0.378016	−	1.41077i	−0.848888	−	0.528573i	$-0.822727\pi$
$397$	−7.53191	−	28.1095i	−0.378016	−	1.41077i	0.470872	−	0.882202i	$-0.343939\pi$
$398$	−9.40585	−	17.0133i	−0.471472	−	0.852799i
$399$	43.5987	+	3.26688i	2.18267	+	0.163549i
$400$	−19.8932	−	2.06451i	−0.994658	−	0.103226i
$401$	−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	$0.210228\pi$
$402$	0.162825	−	0.270303i	0.00812097	−	0.0134815i
$403$	0.944533	+	0.253087i	0.0470505	+	0.0126071i
$404$	−9.39973	+	4.97109i	−0.467654	+	0.247321i
$405$	19.9517	−	11.1347i	0.991406	−	0.553289i
$406$	2.84871	−	2.36093i	0.141379	−	0.117171i
$407$	9.59511	−	9.59511i	0.475612	−	0.475612i
$408$	23.9868	−	36.6675i	1.18752	−	1.81531i
$409$	−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	$0.516207\pi$
$410$	0.268935	−	8.11284i	0.0132818	−	0.400665i
$411$	−20.9062	+	36.2105i	−1.03122	+	1.78613i
$412$	18.8297	−	4.30299i	0.927671	−	0.211993i
$413$	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
$416$	−5.00319	−	6.03049i	−0.245301	−	0.295669i
$417$	1.98621	−	7.41264i	0.0972652	−	0.362999i
$418$	0.194841	−	10.4924i	0.00953001	−	0.513200i
$419$		−	11.1796i		−	0.546160i	−0.961991	−	0.273080i	$-0.911958\pi$
$419$		−	11.1796i		−	0.546160i	0.961991	−	0.273080i	$-0.0880424\pi$
$420$	13.8296	+	32.9760i	0.674813	+	1.60906i
$421$		−	30.8921i		−	1.50559i	−0.658255	−	0.752795i	$-0.728705\pi$
$421$		−	30.8921i		−	1.50559i	0.658255	−	0.752795i	$-0.271295\pi$
$422$	−1.46103	−	0.0271310i	−0.0711218	−	0.00132072i
$423$	−5.47947	+	20.4496i	−0.266421	+	0.994296i
$424$	−3.96366	+	12.0615i	−0.192492	+	0.585761i
$425$	−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
$428$	27.1693	−	6.20877i	1.31328	−	0.300112i
$429$	−2.84053	+	4.91995i	−0.137142	+	0.237537i
$430$	6.54726	+	6.99622i	0.315737	+	0.337388i
$431$	26.7770	−	15.4597i	1.28980	−	0.744669i	0.311185	−	0.950349i	$-0.399274\pi$
$431$	26.7770	−	15.4597i	1.28980	−	0.744669i	0.978619	+	0.205680i	$0.0659406\pi$
$432$	−24.7226	−	28.6974i	−1.18946	−	1.38070i
$433$	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	$-0.0434833\pi$
$434$	−0.918513	+	2.47655i	−0.0440900	+	0.118878i
$435$	1.82336	−	6.42871i	0.0874232	−	0.308233i
$436$	5.20568	+	9.84332i	0.249307	+	0.471409i
$437$	45.6722	+	12.2378i	2.18480	+	0.585415i
$438$	−28.4150	−	17.1166i	−1.35772	−	0.817863i
$439$	−17.7876	+	30.8091i	−0.848958	+	1.47044i	0.0331807	+	0.999449i	$0.489436\pi$
$439$	−17.7876	+	30.8091i	−0.848958	+	1.47044i	−0.882139	+	0.470989i	$0.843897\pi$
$440$	7.71609	−	3.75900i	0.367850	−	0.179203i
$441$	26.7681	−	33.5673i	1.27467	−	1.59844i
$442$	−8.78784	+	4.85839i	−0.417995	+	0.231090i
$443$	−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	$-0.287065\pi$
$444$	2.24382	−	60.3950i	0.106487	−	2.86622i
$445$	−9.50335	+	15.9200i	−0.450502	+	0.754682i
$446$	23.2841	+	24.1653i	1.10254	+	1.14426i
$447$	−31.9105	+	31.9105i	−1.50931	+	1.50931i
$448$	17.4786	−	11.9373i	0.825786	−	0.563983i
$449$			2.23739i			0.105589i	0.998605	+	0.0527946i	$0.0168128\pi$
$449$			2.23739i			0.105589i	−0.998605	+	0.0527946i	$0.983187\pi$
$450$	36.4822	+	23.4512i	1.71979	+	1.10550i
$451$	1.74177	+	3.01684i	0.0820168	+	0.142057i
$452$	−12.7902	+	11.8739i	−0.601600	+	0.558499i
$453$	−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	$0.414031\pi$
$458$	−8.17702	+	13.5746i	−0.382087	+	0.634297i
$459$	−42.0372	+	24.2702i	−1.96213	+	1.13283i
$460$	8.06517	+	37.8218i	0.376041	+	1.76345i
$461$		−	24.5490i		−	1.14336i	−0.820477	−	0.571680i	$-0.806292\pi$
$461$		−	24.5490i		−	1.14336i	0.820477	−	0.571680i	$-0.193708\pi$
$462$	−12.5167	−	8.87840i	−0.582329	−	0.413061i
$463$	−3.13667	−	3.13667i	−0.145773	−	0.145773i	0.630454	−	0.776227i	$-0.282869\pi$
$463$	−3.13667	−	3.13667i	−0.145773	−	0.145773i	−0.776227	+	0.630454i	$0.782869\pi$
$464$	−3.94444	−	0.293496i	−0.183116	−	0.0136252i
$465$	1.16745	+	4.62550i	0.0541390	+	0.214503i
$466$	−8.45943	−	34.0907i	−0.391875	−	1.57922i
$467$	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	$0.325289\pi$
$468$	3.78537	+	16.5646i	0.174979	+	0.765697i
$469$	−0.0847573	−	0.175996i	−0.00391373	−	0.00812676i
$470$	−10.6314	+	2.47426i	−0.490388	+	0.114129i
$471$	−11.8401	−	6.83590i	−0.545564	−	0.314981i
$472$	−11.9341	+	6.03056i	−0.549312	+	0.277579i
$473$	−3.97198	−	1.06429i	−0.182632	−	0.0489361i
$474$	−8.14983	+	7.85266i	−0.374334	+	0.360685i
$475$	23.2686	+	14.3539i	1.06764	+	0.658603i
$476$	−10.8535	−	24.8579i	−0.497469	−	1.13936i
$477$	19.4675	−	19.4675i	0.891356	−	0.891356i
$478$	−20.5257	−	0.381158i	−0.938825	−	0.0174338i
$479$	−1.60612	−	2.78188i	−0.0733854	−	0.127107i	0.826998	−	0.562205i	$-0.190047\pi$
$479$	−1.60612	−	2.78188i	−0.0733854	−	0.127107i	−0.900383	+	0.435098i	$0.856714\pi$
$480$	13.7954	−	35.6515i	0.629670	−	1.62726i
$481$	−6.92516	+	11.9947i	−0.315760	+	0.546912i
$482$	10.4844	+	18.9641i	0.477550	+	0.863792i
$483$	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
$486$	0.842019	+	3.39326i	0.0381948	+	0.153921i
$487$	27.3585	+	7.33069i	1.23973	+	0.332185i	0.818362	−	0.574703i	$-0.194883\pi$
$487$	27.3585	+	7.33069i	1.23973	+	0.332185i	0.421370	+	0.906889i	$0.361549\pi$
$488$	24.7070	+	16.1626i	1.11843	+	0.731647i
$489$			64.5882i			2.92078i
$490$	21.7675	+	4.02219i	0.983353	+	0.181704i
$491$	13.6055			0.614007			0.307004	−	0.951708i	$-0.400674\pi$
$491$	13.6055			0.614007			0.307004	+	0.951708i	$0.400674\pi$
$492$	14.8271	+	4.56926i	0.668457	+	0.205998i
$493$	−1.31189	+	4.89602i	−0.0590844	+	0.220506i
$494$	2.57973	+	10.3961i	0.116067	+	0.467741i
$495$	−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
$498$	−9.48145	+	5.24185i	−0.424874	+	0.234893i
$499$	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	$0.633779\pi$
$500$	−1.80576	+	22.2876i	−0.0807560	+	0.996734i
$501$	−16.4874	+	9.51901i	−0.736603	+	0.425278i
$502$	−29.3768	−	0.545521i	−1.31115	−	0.0243478i
$503$	23.8269	+	23.8269i	1.06239	+	1.06239i	0.997920	+	0.0644704i	$0.0205358\pi$
$503$	23.8269	+	23.8269i	1.06239	+	1.06239i	0.0644704	+	0.997920i	$0.479464\pi$
$504$	−45.5029	+	6.00935i	−2.02686	+	0.267678i
$505$	5.79356	+	10.3811i	0.257810	+	0.461955i
$506$	−11.5154	−	11.9511i	−0.511921	−	0.531293i
$507$	−8.66767	+	32.3482i	−0.384945	+	1.43663i
$508$	13.3853	−	12.4263i	0.593877	−	0.551330i
$509$	6.83730	−	11.8426i	0.303058	−	0.524912i	−0.673769	−	0.738942i	$-0.735326\pi$
$509$	6.83730	−	11.8426i	0.303058	−	0.524912i	0.976827	+	0.214030i	$0.0686591\pi$
$510$	−41.5902	−	25.8862i	−1.84164	−	1.14626i
$511$	−18.5012	+	8.90992i	−0.818446	+	0.394152i
$512$	−22.3122	−	3.76366i	−0.986070	−	0.166332i
$513$	13.4014	+	50.0145i	0.591684	+	2.20820i
$514$	0.417856	−	0.103689i	0.0184308	−	0.00457351i
$515$	−5.28468	−	20.9383i	−0.232871	−	0.922651i
$516$	−16.1900	+	8.56216i	−0.712726	+	0.376928i
$517$	3.31236	−	3.31236i	0.145677	−	0.145677i
$518$	−30.5154	−	21.6453i	−1.34077	−	0.951042i
$519$	−23.0966			−1.01383
$520$	−6.61436	+	5.74444i	−0.290059	+	0.251910i
$521$	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	$0.820359\pi$
$522$	7.34705	+	4.42570i	0.321572	+	0.193708i
$523$	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
$528$	3.05848	+	16.1177i	0.133103	+	0.701434i
$529$	44.8401	−	25.8884i	1.94957	−	1.12558i
$530$	13.5818	+	4.12610i	0.589955	+	0.179227i
$531$	28.9952			1.25829
$532$	−28.6094	+	4.32017i	−1.24037	+	0.187303i
$533$	−2.51421	−	2.51421i	−0.108902	−	0.108902i
$534$	−24.5892	−	25.5197i	−1.06408	−	1.10434i
$535$	−7.62525	−	30.2118i	−0.329668	−	1.30617i
$536$	−0.0651954	+	0.198392i	−0.00281601	+	0.00856922i
$537$	73.1826	−	19.6092i	3.15806	−	0.846201i
$538$	−6.72955	−	12.1724i	−0.290132	−	0.524789i
$539$	−8.84292	+	3.47077i	−0.380891	+	0.149497i
$540$	−31.4528	+	28.3576i	−1.35351	+	1.22032i
$541$	13.3900	+	7.73073i	0.575682	+	0.332370i	0.759416	−	0.650606i	$-0.225485\pi$
$541$	13.3900	+	7.73073i	0.575682	+	0.332370i	−0.183733	+	0.982976i	$0.558818\pi$
$542$	−9.59742	−	5.78128i	−0.412244	−	0.248327i
$543$	9.55292	−	35.6520i	0.409955	−	1.52997i
$544$	−10.0692	+	27.1924i	−0.431712	+	1.16587i
$545$	10.8710	−	6.06696i	0.465664	−	0.259880i
$546$	14.6858	+	5.44674i	0.628494	+	0.233099i
$547$	−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	$-0.534904\pi$
$548$	8.14905	−	26.4434i	0.348110	−	1.12961i
$549$	−32.0110	−	55.4447i	−1.36620	−	2.36632i
$550$	−4.39628	−	8.52982i	−0.187458	−	0.363713i
$551$	4.68252	+	2.70346i	0.199482	+	0.115171i
$552$	−73.8023	−	4.11526i	−3.14124	−	0.175157i
$553$	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
$556$	−0.188552	+	5.07510i	−0.00799637	+	0.215232i
$557$	30.6173	+	8.20388i	1.29730	+	0.347609i	0.840427	−	0.541925i	$-0.182304\pi$
$557$	30.6173	+	8.20388i	1.29730	+	0.347609i	0.456869	+	0.889534i	$0.348971\pi$
$558$	−6.12221	−	0.113688i	−0.259174	−	0.00481280i
$559$	4.19719			0.177522
$560$	−13.7838	−	19.2356i	−0.582472	−	0.812850i
$561$	21.0233			0.887604
$562$	−22.4084	−	0.416118i	−0.945239	−	0.0175529i
$563$	−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	$0.861631\pi$
$564$	0.774596	−	20.8492i	0.0326164	−	0.877909i
$565$	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
$568$	0.0739681	−	1.32653i	0.00310363	−	0.0556599i
$569$	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	$0.623612\pi$
$570$	−38.1549	+	35.7064i	−1.59813	+	1.49558i
$571$	−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	$0.840298\pi$
$572$	1.10722	−	3.59289i	0.0462951	−	0.150226i
$573$	−41.9254	−	41.9254i	−1.75146	−	1.75146i
$574$	7.39496	−	6.12873i	0.308660	−	0.255808i
$575$	42.0719	−	9.96897i	1.75452	−	0.415735i
$576$	39.5023	+	29.1056i	1.64593	+	1.21273i
$577$	−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	$0.876454\pi$
$578$	11.2364	+	6.76855i	0.467372	+	0.281535i
$579$	15.1218	+	8.73056i	0.628439	+	0.362830i
$580$	−0.228548	+	4.41630i	−0.00948994	+	0.183377i
$581$	−0.501129	+	6.68791i	−0.0207903	+	0.277461i
$582$	−4.11951	−	7.45136i	−0.170759	−	0.308869i
$583$	−5.88410	+	1.57664i	−0.243694	+	0.0652977i
$584$	20.8555	+	6.85352i	0.863006	+	0.283601i
$585$	18.4195	−	4.64897i	0.761554	−	0.192211i
$586$	−1.50979	−	1.56693i	−0.0623690	−	0.0647292i
$587$	−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	$0.831868\pi$
$588$	−18.3469	+	38.1252i	−0.756612	+	1.57226i
$589$	−3.86006			−0.159051
$590$	7.04172	+	13.1872i	0.289903	+	0.542909i
$591$	5.07032	−	2.92735i	0.208565	−	0.120415i
$592$	7.45649	+	39.2946i	0.306460	+	1.61500i
$593$	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
$598$	14.5103	+	8.74071i	0.593372	+	0.357434i
$599$	−0.467946	−	0.810507i	−0.0191198	−	0.0331164i	0.856307	−	0.516467i	$-0.172753\pi$
$599$	−0.467946	−	0.810507i	−0.0191198	−	0.0331164i	−0.875427	+	0.483350i	$0.839420\pi$
$600$	−40.1974	−	14.5204i	−1.64105	−	0.592793i
$601$	35.1730			1.43474			0.717368	−	0.696695i	$-0.245347\pi$
$601$	35.1730			1.43474			0.717368	+	0.696695i	$0.245347\pi$
$602$	−1.05692	+	11.2881i	−0.0430767	+	0.460070i
$603$	0.320207	−	0.320207i	0.0130398	−	0.0130398i
$604$	11.7761	−	6.22785i	0.479164	−	0.253408i
$605$	−17.5839	−	10.4966i	−0.714887	−	0.426747i
$606$	−22.0543	+	5.47265i	−0.895893	+	0.222311i
$607$	0.385531	+	1.43882i	0.0156482	+	0.0584000i	0.973308	−	0.229501i	$-0.0737093\pi$
$607$	0.385531	+	1.43882i	0.0156482	+	0.0584000i	−0.957660	+	0.287901i	$0.907043\pi$
$608$	25.2383	+	17.8824i	1.02355	+	0.725228i
$609$	7.12356	−	3.43060i	0.288661	−	0.139015i
$610$	17.4425	−	28.0240i	0.706225	−	1.13466i
$611$	−2.39066	+	4.14074i	−0.0967156	+	0.167516i
$612$	46.0822	−	42.7807i	1.86276	−	1.72931i
$613$	−4.47124	+	16.6869i	−0.180592	+	0.673977i	0.814940	+	0.579546i	$0.196770\pi$
$613$	−4.47124	+	16.6869i	−0.180592	+	0.673977i	−0.995531	+	0.0944314i	$0.969897\pi$
$614$	7.39820	+	7.67816i	0.298567	+	0.309865i
$615$	4.73324	−	16.6882i	0.190863	−	0.672935i
$616$	9.38409	+	3.88256i	0.378096	+	0.156433i
$617$	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	$0.533173\pi$
$618$	41.2688	+	0.766352i	1.66007	+	0.0308272i
$619$	−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	$0.562070\pi$
$620$	−1.43512	−	2.81203i	−0.0576358	−	0.112934i
$621$	70.9156	+	40.9431i	2.84574	+	1.64299i
$622$	32.6097	−	18.0284i	1.30753	−	0.722872i
$623$	−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
$626$	9.39265	+	37.8515i	0.375406	+	1.51285i
$627$	5.80426	−	21.6618i	0.231800	−	0.865088i
$628$	8.64648	+	2.66458i	0.345032	+	0.106328i
$629$	51.2543			2.04364
$630$	7.86485	+	50.7092i	0.313343	+	2.02030i
$631$			3.01524i			0.120035i	0.998197	+	0.0600173i	$0.0191156\pi$
$631$			3.01524i			0.120035i	−0.998197	+	0.0600173i	$0.980884\pi$
$632$	4.10014	−	6.26768i	0.163095	−	0.249315i
$633$	−3.01633	−	0.808222i	−0.119888	−	0.0321239i
$634$	−8.00720	−	32.2682i	−0.318006	−	1.28154i
$635$	−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
$638$	−0.918219	−	1.66087i	−0.0363526	−	0.0657546i
$639$	−1.44051	+	2.49503i	−0.0569856	+	0.0987019i
$640$	−3.64396	+	25.0344i	−0.144040	+	0.989572i
$641$	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	$0.712223\pi$
$642$	59.5466	+	1.10577i	2.35012	+	0.0436412i
$643$	−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	$0.458724\pi$
$644$	−27.1617	+	36.8238i	−1.07032	+	1.45106i
$645$	9.97878	+	17.8804i	0.392914	+	0.704040i
$646$	28.5441	−	27.5033i	1.12305	−	1.08210i
$647$	17.1162	+	4.58626i	0.672905	+	0.180304i	0.579063	−	0.815283i	$-0.303418\pi$
$647$	17.1162	+	4.58626i	0.672905	+	0.180304i	0.0938422	+	0.995587i	$0.470085\pi$
$648$	−13.0347	−	25.7949i	−0.512052	−	1.01332i
$649$	−5.55607	−	3.20780i	−0.218095	−	0.125917i
$650$	6.58771	+	7.24828i	0.258391	+	0.284301i
$651$	−3.17968	+	4.66382i	−0.124621	+	0.182789i
$652$	−9.52229	−	41.6691i	−0.372922	−	1.63189i
$653$	−36.2183	+	9.70467i	−1.41733	+	0.379773i	−0.884537	−	0.466471i	$-0.845525\pi$
$653$	−36.2183	+	9.70467i	−1.41733	+	0.379773i	−0.532796	+	0.846244i	$0.678859\pi$
$654$	5.73091	+	23.0950i	0.224096	+	0.903087i
$655$	−12.3711	−	7.38487i	−0.483381	−	0.288551i
$656$	−10.2394	−	0.761884i	−0.399780	−	0.0297466i
$657$	−33.6610	−	33.6610i	−1.31324	−	1.31324i
$658$	−10.5343	−	7.47227i	−0.410671	−	0.291299i
$659$		−	0.807555i		−	0.0314579i	−0.999876	−	0.0157289i	$-0.994993\pi$
$659$		−	0.807555i		−	0.0314579i	0.999876	−	0.0157289i	$-0.00500688\pi$
$660$	17.9384	−	3.82521i	0.698252	−	0.148896i
$661$	−6.65697	+	3.84340i	−0.258926	+	0.149491i	−0.623845	−	0.781548i	$-0.714430\pi$
$661$	−6.65697	+	3.84340i	−0.258926	+	0.149491i	0.364919	+	0.931039i	$0.381097\pi$
$662$	1.83235	−	3.04186i	0.0712163	−	0.118225i
$663$	−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
$668$	9.23345	−	8.57194i	0.357253	−	0.331658i
$669$	35.8559	+	62.1043i	1.38627	+	2.40109i
$670$	0.223397	+	0.0678673i	0.00863058	+	0.00262194i
$671$			14.1658i			0.546863i
$672$	42.3958	−	15.7631i	1.63545	−	0.608075i
$673$	−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	$0.395388\pi$
$674$	17.7475	+	18.4191i	0.683609	+	0.709478i
$675$	32.4901	+	34.4410i	1.25055	+	1.32563i
$676$	0.822824	−	22.1473i	0.0316471	−	0.851819i
$677$	−7.06553	−	26.3689i	−0.271551	−	1.01344i	−0.958118	−	0.286374i	$-0.907550\pi$
$677$	−7.06553	−	26.3689i	−0.271551	−	1.01344i	0.686567	−	0.727066i	$-0.259117\pi$
$678$	−32.6390	+	18.0446i	−1.25349	+	0.692997i
$679$	−5.25594	−	0.393831i	−0.201705	−	0.0151139i
$680$	30.6483	+	10.5688i	1.17531	+	0.405296i
$681$	−5.02789	+	8.70856i	−0.192669	+	0.333713i
$682$	1.16056	+	0.699097i	0.0444402	+	0.0267698i
$683$	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	$0.564975\pi$
$684$	−31.3573	−	59.2929i	−1.19898	−	2.26712i
$685$	−29.7627	−	8.44151i	−1.13717	−	0.322534i
$686$	13.5212	+	22.4316i	0.516243	+	0.856442i
$687$	−23.9462	+	23.9462i	−0.913605	+	0.913605i
$688$	9.18267	−	7.91079i	0.350086	−	0.301596i
$689$	5.38470	−	3.10886i	0.205141	−	0.118438i
$690$	−2.73802	+	82.5963i	−0.104234	+	3.14439i
$691$	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	$-0.0110311\pi$
$692$	14.9008	−	3.40515i	0.566442	−	0.129444i
$693$	−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
$696$	−8.03002	−	2.63882i	−0.304377	−	0.100024i
$697$	−3.40552	+	12.7096i	−0.128993	+	0.481409i
$698$	29.7350	+	0.552171i	1.12549	+	0.0209000i
$699$		−	75.0606i		−	2.83905i
$700$	−21.1528	+	15.8921i	−0.799501	+	0.600665i
$701$			33.0286i			1.24747i	0.781634	+	0.623737i	$0.214386\pi$
$701$			33.0286i			1.24747i	−0.781634	+	0.623737i	$0.785614\pi$
$702$	−0.344412	+	18.5469i	−0.0129990	+	0.700009i
$703$	14.1506	−	52.8109i	0.533702	−	1.99180i
$704$	−4.34943	−	9.94744i	−0.163925	−	0.374908i
$705$	−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
$708$	−27.8560	+	6.36571i	−1.04689	+	0.239238i
$709$	−10.4804	+	18.1525i	−0.393599	+	0.681733i	−0.992921	−	0.118775i	$-0.962103\pi$
$709$	−10.4804	+	18.1525i	−0.393599	+	0.681733i	0.599322	+	0.800508i	$0.295437\pi$
$710$	−1.48459	−	0.0492133i	−0.0557158	−	0.00184694i
$711$	−14.0652	+	8.12056i	−0.527487	+	0.304545i
$712$	19.6261	+	12.8388i	0.735519	+	0.481155i
$713$	−4.31655	+	4.31655i	−0.161656	+	0.161656i
$714$	−9.71733	−	57.1432i	−0.363662	−	2.13853i
$715$	−4.04388	−	1.14695i	−0.151232	−	0.0428936i
$716$	−44.3228	+	23.4403i	−1.65642	+	0.876004i
$717$	−42.3758	−	11.3546i	−1.58255	−	0.424044i
$718$	−0.342929	+	0.569292i	−0.0127980	+	0.0212458i
$719$	−16.9756	+	29.4026i	−0.633083	+	1.09653i	0.353834	+	0.935308i	$0.384878\pi$
$719$	−16.9756	+	29.4026i	−0.633083	+	1.09653i	−0.986918	+	0.161224i	$0.948456\pi$
$720$	31.5362	−	44.8879i	1.17529	−	1.67287i
$721$	14.3934	−	21.1117i	0.536040	−	0.786241i
$722$	−7.45727	−	13.4887i	−0.277531	−	0.501998i
$723$	11.9851	+	44.7291i	0.445731	+	1.66349i
$724$	−0.906862	+	24.4093i	−0.0337032	+	0.907163i
$725$	4.94208	+	0.144049i	0.183544	+	0.00534985i
$726$	28.1868	−	27.1591i	1.04611	−	1.00797i
$727$	19.5217	−	19.5217i	0.724020	−	0.724020i	−0.245402	−	0.969421i	$-0.578920\pi$
$727$	19.5217	−	19.5217i	0.724020	−	0.724020i	0.969421	+	0.245402i	$0.0789199\pi$
$728$	−10.2776	−	1.34882i	−0.380912	−	0.0499907i
$729$		−	23.1831i		−	0.858635i
$730$	7.13440	−	23.4841i	0.264056	−	0.869185i
$731$	−7.76603	−	13.4512i	−0.287237	−	0.497509i
$732$	42.9259	+	46.2385i	1.58659	+	1.70903i
$733$	37.7399	−	10.1124i	1.39395	−	0.373509i	0.517784	−	0.855511i	$-0.326757\pi$
$733$	37.7399	−	10.1124i	1.39395	−	0.373509i	0.876170	+	0.482002i	$0.160090\pi$
$734$	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
$738$	19.0722	+	11.4887i	0.702056	+	0.422903i
$739$	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	$0.154580\pi$
$740$	43.7335	−	9.32578i	1.60767	−	0.342822i
$741$			22.8900i			0.840884i
$742$	7.00518	+	15.2648i	0.257168	+	0.560387i
$743$	−8.09172	−	8.09172i	−0.296856	−	0.296856i	0.542925	−	0.839781i	$-0.317317\pi$
$743$	−8.09172	−	8.09172i	−0.296856	−	0.296856i	−0.839781	+	0.542925i	$0.817317\pi$
$744$	5.90663	−	1.23487i	0.216548	−	0.0452725i
$745$	−28.6704	−	17.1146i	−1.05040	−	0.627030i
$746$	−33.2651	+	8.25456i	−1.21792	+	0.302221i
$747$	−15.0176	+	4.02395i	−0.549465	+	0.147229i
$748$	−13.5632	+	3.09948i	−0.495919	+	0.113328i
$749$	20.7683	−	30.4620i	0.758856	−	1.11306i
$750$	−15.2161	+	45.2969i	−0.555613	+	1.65401i
$751$	32.0511	+	18.5047i	1.16956	+	0.675246i	0.953576	−	0.301151i	$-0.0973708\pi$
$751$	32.0511	+	18.5047i	1.16956	+	0.675246i	0.215984	+	0.976397i	$0.430704\pi$
$752$	2.57408	+	13.5650i	0.0938671	+	0.494666i
$753$	−60.6490	−	16.2509i	−2.21017	−	0.592214i
$754$	1.34404	+	1.39491i	0.0489472	+	0.0507995i
$755$	−7.25825	−	13.0056i	−0.264155	−	0.473324i
$756$	−49.7944	−	5.59669i	−1.81100	−	0.203549i
$757$	−20.1774	+	20.1774i	−0.733360	+	0.733360i	−0.971284	−	0.237924i	$-0.923533\pi$
$757$	−20.1774	+	20.1774i	−0.733360	+	0.733360i	0.237924	+	0.971284i	$0.423533\pi$
$758$	−0.706935	+	38.0692i	−0.0256771	+	1.38273i
$759$	−17.7329	−	30.7142i	−0.643662	−	1.11486i
$760$	19.3514	−	28.6612i	0.701949	−	1.03965i
$761$	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	$0.143126\pi$
$762$	34.1576	−	18.8842i	1.23740	−	0.684101i
$763$	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
$766$	44.6044	−	11.0684i	1.61162	−	0.399916i
$767$	6.32522	+	1.69484i	0.228390	+	0.0611970i
$768$	−44.3402	−	19.2896i	−1.59999	−	0.696053i
$769$			49.9743i			1.80212i	0.433695	+	0.901060i	$0.357210\pi$
$769$			49.9743i			1.80212i	−0.433695	+	0.901060i	$0.642790\pi$
$770$	4.10299	−	10.5870i	0.147862	−	0.381529i
$771$	0.920030			0.0331341
$772$	−11.0430	−	3.40310i	−0.397445	−	0.122480i
$773$	7.71930	−	28.8088i	0.277644	−	1.03618i	−0.676405	−	0.736530i	$-0.736463\pi$
$773$	7.71930	−	28.8088i	0.277644	−	1.03618i	0.954049	−	0.299652i	$-0.0968704\pi$
$774$	−25.5089	+	6.32991i	−0.916900	+	0.227524i
$775$	−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
$778$	15.5179	+	28.0688i	0.556345	+	1.00632i
$779$	12.1553	+	7.01789i	0.435510	+	0.251442i
$780$	−16.6752	+	8.51020i	−0.597068	+	0.304714i
$781$	0.552060	−	0.318732i	0.0197543	−	0.0114051i
$782$	1.16387	−	62.6757i	0.0416200	−	2.24128i
$783$	6.62120	+	6.62120i	0.236622	+	0.236622i
$784$	6.21565	−	27.3014i	0.221987	−	0.975050i
$785$	2.76021	−	9.73181i	0.0985160	−	0.347343i
$786$	19.8308	−	19.1077i	0.707342	−	0.681551i
$787$	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	$-0.102522\pi$
$788$	−2.83954	+	2.63610i	−0.101154	+	0.0939073i
$789$	−34.9870	+	60.5992i	−1.24557	+	2.15739i
$790$	−7.10913	−	4.42481i	−0.252932	−	0.157428i
$791$	−1.72509	+	23.0225i	−0.0613371	+	0.818585i
$792$	−1.31071	+	23.5061i	−0.0465741	+	0.835252i
$793$	−3.74224	−	13.9662i	−0.132891	−	0.495955i
$794$	9.91182	+	39.9437i	0.351757	+	1.41755i
$795$	26.0461	+	15.5480i	0.923759	+	0.551431i
$796$	12.8529	+	24.3032i	0.455558	+	0.861405i
$797$	−33.3424	+	33.3424i	−1.18105	+	1.18105i	−0.201574	+	0.979473i	$0.564606\pi$
$797$	−33.3424	+	33.3424i	−1.18105	+	1.18105i	−0.979473	+	0.201574i	$0.935394\pi$
$798$	−61.5615	−	5.76405i	−2.17925	−	0.204045i
$799$	17.6937			0.625958
$800$	28.0741	+	3.44149i	0.992570	+	0.121675i
$801$	−25.4280	−	44.0426i	−0.898455	−	1.55617i
$802$	3.98710	−	6.61894i	0.140790	−	0.233723i
$803$	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
$808$	13.4215	−	6.78216i	0.472166	−	0.238595i
$809$	−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	$0.371508\pi$
$810$	−28.5034	+	15.2203i	−1.00151	+	0.534786i
$811$	20.0913			0.705502			0.352751	−	0.935717i	$-0.385246\pi$
$811$	20.0913			0.705502			0.352751	+	0.935717i	$0.385246\pi$
$812$	−4.08999	+	3.26349i	−0.143530	+	0.114526i
$813$	−16.9303	−	16.9303i	−0.593773	−	0.593773i
$814$	−13.8191	+	13.3153i	−0.484360	+	0.466699i
$815$	−46.3353	+	11.6947i	−1.62306	+	0.409648i
$816$	−34.8794	+	51.2169i	−1.22102	+	1.79295i
$817$	−16.0038	+	4.28820i	−0.559901	+	0.150025i
$818$	27.2042	−	15.0399i	0.951172	−	0.525858i
$819$	18.5721	+	12.6620i	0.648962	+	0.442446i
$820$	−0.593286	+	11.4642i	−0.0207185	+	0.400349i
$821$	−28.1496	−	16.2522i	−0.982428	−	0.567205i	−0.0794257	−	0.996841i	$-0.525309\pi$
$821$	−28.1496	−	16.2522i	−0.982428	−	0.567205i	−0.903002	+	0.429636i	$0.858642\pi$
$822$	30.5115	−	50.6516i	1.06421	−	1.76668i
$823$	−7.72562	+	28.8324i	−0.269298	+	1.00503i	0.690268	+	0.723553i	$0.257492\pi$
$823$	−7.72562	+	28.8324i	−0.269298	+	1.00503i	−0.959567	+	0.281481i	$0.909174\pi$
$824$	−26.7375	+	5.58988i	−0.931447	+	0.194733i
$825$	−4.72816	−	19.9542i	−0.164613	−	0.694715i
$826$	−6.15098	+	16.5846i	−0.214020	+	0.577052i
$827$	−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	$0.904028\pi$
$828$	−101.371	−	31.2393i	−3.52287	−	1.08564i
$829$	18.6280	+	32.2646i	0.646976	+	1.12060i	0.983841	+	0.179043i	$0.0573001\pi$
$829$	18.6280	+	32.2646i	0.646976	+	1.12060i	−0.336865	+	0.941553i	$0.609367\pi$
$830$	−5.47726	−	5.85284i	−0.190118	−	0.203155i
$831$	11.7683	+	6.79444i	0.408238	+	0.235696i
$832$	6.91601	+	8.65830i	0.239770	+	0.300172i
$833$	−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
$836$	−0.551000	+	14.8308i	−0.0190567	+	0.512935i
$837$	−6.45713	−	1.73018i	−0.223191	−	0.0598039i
$838$	−0.293544	+	15.8076i	−0.0101403	+	0.546066i
$839$	−39.0561			−1.34837			−0.674183	−	0.738564i	$-0.735504\pi$
$839$	−39.0561			−1.34837			−0.674183	+	0.738564i	$0.735504\pi$
$840$	−18.6887	−	46.9902i	−0.644822	−	1.62131i
$841$	−28.0222			−0.966283
$842$	−0.811137	+	43.6805i	−0.0279536	+	1.50533i
$843$	−46.2625	−	12.3960i	−1.59337	−	0.426941i
$844$	2.06514	+	0.0767248i	0.0710850	+	0.00264098i
$845$	−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
$848$	5.92120	−	16.9506i	0.203335	−	0.582086i
$849$	−57.8433	−	33.3958i	−1.98518	−	1.14614i
$850$	11.0401	−	34.5238i	0.378673	−	1.18416i
$851$	−43.2323	−	74.8806i	−1.48198	−	2.56687i
$852$	0.836142	−	2.71326i	0.0286458	−	0.0929546i
$853$	30.2625	+	30.2625i	1.03617	+	1.03617i	0.999321	+	0.0368476i	$0.0117316\pi$
$853$	30.2625	+	30.2625i	1.03617	+	1.03617i	0.0368476	+	0.999321i	$0.488268\pi$
$854$	38.5038	−	6.54766i	1.31757	−	0.224056i
$855$	−65.4835	+	36.5454i	−2.23949	+	1.24982i
$856$	−38.5795	+	8.06563i	−1.31862	+	0.275678i
$857$	−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	$0.962299\pi$
$858$	4.14561	−	6.88207i	0.141529	−	0.234950i
$859$	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	$0.496667\pi$
$860$	−9.07393	−	10.0644i	−0.309418	−	0.343192i
$861$	18.4920	−	8.90548i	0.630206	−	0.303498i
$862$	−38.2679	+	21.1565i	−1.30341	+	0.720593i
$863$	−25.5076	+	6.83475i	−0.868289	+	0.232657i	−0.665348	−	0.746533i	$-0.731717\pi$
$863$	−25.5076	+	6.83475i	−0.868289	+	0.232657i	−0.202942	+	0.979191i	$0.565050\pi$
$864$	34.2034	+	41.2264i	1.16362	+	1.40255i
$865$	−4.18201	−	16.5694i	−0.142193	−	0.563377i
$866$	−33.7713	+	32.5399i	−1.14759	+	1.10575i
$867$	19.8216	+	19.8216i	0.673175	+	0.673175i
$868$	1.36378	−	3.47764i	0.0462896	−	0.118039i
$869$	3.59358			0.121904
$870$	−2.74697	+	9.04212i	−0.0931310	+	0.306557i
$871$	0.0885690	−	0.0511353i	0.00300105	−	0.00173266i
$872$	−7.10222	−	14.0548i	−0.240511	−	0.475957i
$873$	−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	$-0.911782\pi$
$877$	−7.86751	−	29.3619i	−0.265667	−	0.991483i	0.696174	−	0.717873i	$-0.254884\pi$
$878$	25.9602	−	43.0961i	0.876113	−	1.45442i
$879$	−2.32498	−	4.02698i	−0.0784196	−	0.135827i
$880$	−11.0090	+	5.11251i	−0.371114	+	0.172343i
$881$	16.2220			0.546534			0.273267	−	0.961938i	$-0.411896\pi$
$881$	16.2220			0.546534			0.273267	+	0.961938i	$0.411896\pi$
$882$	−38.7306	+	46.7603i	−1.30413	+	1.57450i
$883$	−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	$0.409682\pi$
$884$	12.5533	−	6.63887i	0.422213	−	0.223289i
$885$	7.81800	+	30.9755i	0.262799	+	1.04123i
$886$	8.56283	+	34.5074i	0.287674	+	1.15930i
$887$	−4.71443	−	17.5945i	−0.158295	−	0.590765i	−0.998801	−	0.0489624i	$-0.984409\pi$
$887$	−4.71443	−	17.5945i	−0.158295	−	0.590765i	0.840506	−	0.541803i	$-0.182258\pi$
$888$	−4.75849	+	85.3378i	−0.159684	+	2.86375i
$889$	1.80536	−	24.0937i	0.0605497	−	0.808077i
$890$	13.8555	−	22.2609i	0.464436	−	0.746188i
$891$	6.93348	−	12.0091i	0.232280	−	0.402321i
$892$	−32.2886	−	34.7803i	−1.08110	−	1.16453i
$893$	4.88499	−	18.2310i	0.163470	−	0.610079i
$894$	45.9584	−	44.2826i	1.53708	−	1.48103i
$895$	27.3185	+	48.9504i	0.913156	+	1.63623i
$896$	−25.0277	+	16.4200i	−0.836115	+	0.548554i
$897$	25.5970	+	25.5970i	0.854658	+	0.854658i
$898$	0.0587475	−	3.16361i	0.00196043	−	0.105571i
$899$	−0.604538	+	0.349030i	−0.0201625	+	0.0116408i
$900$	−50.9690	−	34.1172i	−1.69897	−	1.13724i
$901$	−19.9266	−	11.5046i	−0.663850	−	0.383274i
$902$	−2.38360	−	4.31145i	−0.0793652	−	0.143556i
$903$	−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
$906$	27.6299	−	6.85621i	0.917942	−	0.227782i
$907$	−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	$0.990423\pi$
$908$	1.95983	−	6.35959i	0.0650393	−	0.211051i
$909$	−32.6089			−1.08157
$910$	−1.24837	+	11.5218i	−0.0413832	+	0.381943i
$911$		−	32.9738i		−	1.09247i	−0.837632	−	0.546235i	$-0.816060\pi$
$911$		−	32.9738i		−	1.09247i	0.837632	−	0.546235i	$-0.183940\pi$
$912$	43.1426	+	50.0790i	1.42859	+	1.65828i
$913$	3.32285	+	0.890355i	0.109970	+	0.0294664i
$914$	−0.485972	+	0.120592i	−0.0160745	+	0.00398881i
$915$	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
$918$	60.0766	−	33.2135i	1.98282	−	1.09621i
$919$	9.23379	−	15.9934i	0.304595	−	0.527573i	−0.672576	−	0.740028i	$-0.734812\pi$
$919$	9.23379	−	15.9934i	0.304595	−	0.527573i	0.977171	+	0.212454i	$0.0681457\pi$
$920$	−10.4108	−	53.6907i	−0.343235	−	1.77013i
$921$	11.3927	+	19.7327i	0.375402	+	0.650216i
$922$	−0.644585	+	34.7115i	−0.0212283	+	1.14316i
$923$	−0.460082	+	0.460082i	−0.0151438	+	0.0151438i
$924$	17.4651	+	12.8824i	0.574559	+	0.423801i
$925$	−11.5271	−	48.6478i	−0.379010	−	1.59953i
$926$	4.35280	+	4.51752i	0.143042	+	0.148455i
$927$	57.2149	+	15.3307i	1.87918	+	0.503526i
$928$	5.56961	+	0.518564i	0.182832	+	0.0170227i
$929$	−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	$0.802321\pi$
$930$	−1.52928	−	6.57098i	−0.0501471	−	0.215471i
$931$	−23.8640	+	29.9256i	−0.782110	+	0.980771i
$932$	11.0662	+	48.4253i	0.362487	+	1.58622i
$933$	76.9137	−	20.6090i	2.51804	−	0.674707i
$934$	−16.7973	+	4.16815i	−0.549623	+	0.136386i
$935$	3.80661	+	15.0820i	0.124489	+	0.493236i
$936$	−4.91746	−	23.5212i	−0.160732	−	0.768814i
$937$	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	$0.583733\pi$
$938$	0.115223	+	0.251079i	0.00376217	+	0.00819802i
$939$			83.3411i			2.71973i
$940$	15.0974	−	3.21938i	0.492422	−	0.105005i
$941$	33.0116	−	19.0592i	1.07615	−	0.621314i	0.146292	−	0.989241i	$-0.453266\pi$
$941$	33.0116	−	19.0592i	1.07615	−	0.621314i	0.929854	+	0.367928i	$0.119933\pi$
$942$	16.5621	+	9.97664i	0.539622	+	0.325056i
$943$	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	$0.262625\pi$
$948$	11.7298	−	10.8894i	0.380966	−	0.353673i
$949$	−5.37549	−	9.31062i	−0.174496	−	0.302235i
$950$	−32.5242	−	20.9070i	−1.05523	−	0.678312i
$951$		−	71.0479i		−	2.30389i
$952$	14.6938	+	35.4333i	0.476229	+	1.14840i
$953$	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	$0.0165385\pi$
$954$	−28.0376	+	27.0153i	−0.907752	+	0.874653i
$955$	22.4859	−	37.6684i	0.727626	−	1.21892i
$956$	29.0127	+	1.07789i	0.938339	+	0.0348615i
$957$	−1.04965	−	3.91736i	−0.0339305	−	0.126630i
$958$	2.19796	+	3.97566i	0.0710128	+	0.128448i
$959$	−15.8825	−	32.9796i	−0.512873	−	1.06497i
$960$	−20.4424	+	50.0479i	−0.659774	+	1.61529i
$961$	−15.2508	+	26.4152i	−0.491962	+	0.852103i
$962$	10.1069	−	16.7783i	0.325860	−	0.540955i
$963$	82.5552	+	22.1206i	2.66031	+	0.712827i
$964$	−14.3266	−	27.0900i	−0.461430	−	0.872509i
$965$	−3.52523	+	12.4291i	−0.113481	+	0.400107i
$966$	−75.2876	+	62.3962i	−2.42234	+	2.00756i
$967$	15.5559	−	15.5559i	0.500243	−	0.500243i	−0.411270	−	0.911513i	$-0.634915\pi$
$967$	15.5559	−	15.5559i	0.500243	−	0.500243i	0.911513	+	0.411270i	$0.134915\pi$
$968$	−14.1806	+	21.6773i	−0.455783	+	0.696734i
$969$	73.3579	−	42.3532i	2.35659	−	1.36058i
$970$	4.59968	−	4.30451i	0.147687	−	0.138209i
$971$	−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	$0.313555\pi$
$972$	−1.10149	−	4.82008i	−0.0353304	−	0.154604i
$973$	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
$976$	−34.5106	−	23.5022i	−1.10466	−	0.752287i
$977$	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	$0.0201487\pi$
$978$	1.69590	−	91.3257i	0.0542288	−	2.92027i
$979$			11.2526i			0.359635i
$980$	−30.6729	−	6.25880i	−0.979810	−	0.199930i
$981$			34.1478i			1.09026i
$982$	−19.2378	−	0.357241i	−0.613902	−	0.0114000i
$983$	−13.3562	+	49.8461i	−0.425997	+	1.58984i	0.335739	+	0.941955i	$0.391014\pi$
$983$	−13.3562	+	49.8461i	−0.425997	+	1.58984i	−0.761736	+	0.647888i	$0.775653\pi$
$984$	−20.8451	−	6.85011i	−0.664517	−	0.218373i
$985$	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
$988$	−3.37469	−	14.7675i	−0.107363	−	0.469815i
$989$	−13.1011	+	22.6918i	−0.416590	+	0.721556i
$990$	26.3070	+	0.872059i	0.836090	+	0.0277158i
$991$	−43.0251	+	24.8406i	−1.36674	+	0.789087i	−0.990510	−	0.137440i	$-0.956112\pi$
$991$	−43.0251	+	24.8406i	−1.36674	+	0.789087i	−0.376228	+	0.926527i	$0.622779\pi$
$992$	−3.62860	+	1.66750i	−0.115208	+	0.0529430i
$993$	5.36600	−	5.36600i	0.170285	−	0.170285i
$994$	−1.12151	−	1.35323i	−0.0355723	−	0.0429217i
$995$	26.8407	−	14.9794i	0.850907	−	0.474878i
$996$	13.5441	−	7.16286i	0.429162	−	0.226964i
$997$	−36.0590	−	9.66197i	−1.14200	−	0.305998i	−0.362245	−	0.932083i	$-0.617989\pi$
$997$	−36.0590	−	9.66197i	−1.14200	−	0.305998i	−0.779755	+	0.626085i	$0.784656\pi$
$998$	−5.58192	−	3.36243i	−0.176693	−	0.106436i
$999$	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.107.1	yes	176
5.3	odd	4	inner	280.2.br.a.163.22	yes	176
7.4	even	3	inner	280.2.br.a.67.30	yes	176
8.3	odd	2	inner	280.2.br.a.107.8	yes	176
35.18	odd	12	inner	280.2.br.a.123.8	yes	176
40.3	even	4	inner	280.2.br.a.163.30	yes	176
56.11	odd	6	inner	280.2.br.a.67.22	✓	176
280.123	even	12	inner	280.2.br.a.123.1	yes	176

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

\(f(q)\)	\(=\)	\(q+(-1.41397 - 0.0262571i) q^{2} +(-2.91917 - 0.782189i) q^{3} +(1.99862 + 0.0742535i) q^{4} +(0.0325774 - 2.23583i) q^{5} +(4.10708 + 1.18264i) q^{6} +(2.00539 - 1.72581i) q^{7} +(-2.82404 - 0.157470i) q^{8} +(5.31166 + 3.06669i) q^{9} +O(q^{10})\)	\(q+(-1.41397 - 0.0262571i) q^{2} +(-2.91917 - 0.782189i) q^{3} +(1.99862 + 0.0742535i) q^{4} +(0.0325774 - 2.23583i) q^{5} +(4.10708 + 1.18264i) q^{6} +(2.00539 - 1.72581i) q^{7} +(-2.82404 - 0.157470i) q^{8} +(5.31166 + 3.06669i) q^{9} +(-0.104770 + 3.16054i) q^{10} +(-0.678547 - 1.17528i) q^{11} +(-5.77623 - 1.78006i) q^{12} +(0.979466 + 0.979466i) q^{13} +(-2.88087 + 2.38758i) q^{14} +(-1.84394 + 6.50129i) q^{15} +(3.98897 + 0.296809i) q^{16} +(1.32670 - 4.95130i) q^{17} +(-7.43000 - 4.47567i) q^{18} +(-4.73539 - 2.73398i) q^{19} +(0.231128 - 4.46616i) q^{20} +(-7.20398 + 3.46933i) q^{21} +(0.928585 + 1.67962i) q^{22} +(-8.35271 + 2.23810i) q^{23} +(8.12068 + 2.66862i) q^{24} +(-4.99788 - 0.145675i) q^{25} +(-1.35922 - 1.41065i) q^{26} +(-6.69595 - 6.69595i) q^{27} +(4.13616 - 3.30033i) q^{28} -0.988836 q^{29} +(2.77798 - 9.14421i) q^{30} +(0.611363 - 0.352971i) q^{31} +(-5.63249 - 0.524418i) 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} +(6.62391 + 3.99010i) q^{38} +(-2.09310 - 3.62536i) q^{39} +(-0.444077 + 6.30895i) q^{40} -2.56691 q^{41} +(10.2773 - 4.71638i) q^{42} +(2.14259 - 2.14259i) q^{43} +(-1.26889 - 2.39932i) q^{44} +(7.02963 - 11.7761i) q^{45} +(11.8692 - 2.94529i) q^{46} +(0.893386 + 3.33416i) q^{47} +(-11.4123 - 3.98657i) q^{48} +(1.04317 - 6.92183i) q^{49} +(7.06302 + 0.337210i) q^{50} +(-7.74571 + 13.4160i) q^{51} +(1.88485 + 2.03031i) q^{52} +(1.16178 - 4.33581i) q^{53} +(9.29206 + 9.64369i) q^{54} +(-2.64983 + 1.47883i) q^{55} +(-5.93506 + 4.55796i) q^{56} +(11.6849 + 11.6849i) q^{57} +(1.39818 + 0.0259640i) q^{58} +(4.09410 - 2.36373i) q^{59} +(-4.16808 + 12.8567i) q^{60} +(-9.03985 - 5.21916i) q^{61} +(-0.873717 + 0.483037i) q^{62} +(15.9444 - 3.01700i) q^{63} +(7.95041 + 0.889404i) q^{64} +(2.22183 - 2.15801i) q^{65} +(-1.39691 - 5.62944i) q^{66} +(0.0191092 - 0.0713166i) q^{67} +(3.01922 - 9.79726i) q^{68} +26.1336 q^{69} +(5.24438 + 6.51893i) q^{70} +0.469728i q^{71} +(-14.5174 - 9.49687i) q^{72} +(-7.49699 - 2.00881i) q^{73} +(-3.40565 - 13.7244i) q^{74} +(14.4757 + 4.33454i) q^{75} +(-9.26124 - 5.81580i) q^{76} +(-3.38905 - 1.18585i) q^{77} +(2.86439 + 5.18110i) q^{78} +(-1.32400 + 2.29323i) q^{79} +(0.793565 - 8.90900i) q^{80} +(5.10907 + 8.84916i) q^{81} +(3.62954 + 0.0673997i) q^{82} +(-1.79243 + 1.79243i) q^{83} +(-14.6556 + 6.39896i) q^{84} +(-11.0270 - 3.12757i) q^{85} +(-3.08581 + 2.97330i) q^{86} +(2.88658 + 0.773457i) q^{87} +(1.73117 + 3.42588i) q^{88} +(-7.18082 - 4.14585i) q^{89} +(-10.2489 + 16.4664i) q^{90} +(3.65458 + 0.273840i) q^{91} +(-16.8601 + 3.85290i) q^{92} +(-2.06076 + 0.552180i) q^{93} +(-1.17568 - 4.73786i) q^{94} +(-6.26698 + 10.4985i) q^{95} +(16.0320 + 5.93654i) q^{96} +(-1.40865 - 1.40865i) q^{97} +(-1.65676 + 9.75987i) 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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