LMFDB - Embedded newform 588.2.x.b.223.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [588,2,Mod(55,588)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(588, base_ring=CyclotomicField(14))

chi = DirichletCharacter(H, H._module([7, 0, 9]))

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

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

chi := DirichletCharacter("588.55");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 588 = 2^{2} \cdot 3 \cdot 7^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	588.x (of order $14$, degree $6$, 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:	$4.69520363885$
Analytic rank:	$0$
Dimension:	$168$
Relative dimension:	$28$ over $\Q(\zeta_{14})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{14}]$

Embedding invariants

Embedding label			223.1
Character	$\chi$	$=$	588.223
Dual form			588.2.x.b.559.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.40416 - 0.168299i) q^{2} +(0.222521 - 0.974928i) q^{3} +(1.94335 + 0.472640i) q^{4} +(-1.38638 - 0.316432i) q^{5} +(-0.476536 + 1.33151i) q^{6} +(0.327037 + 2.62546i) q^{7} +(-2.64924 - 0.990728i) q^{8} +(-0.900969 - 0.433884i) q^{9} +O(q^{10})$	\(q+(-1.40416 - 0.168299i) q^{2} +(0.222521 - 0.974928i) q^{3} +(1.94335 + 0.472640i) q^{4} +(-1.38638 - 0.316432i) q^{5} +(-0.476536 + 1.33151i) q^{6} +(0.327037 + 2.62546i) q^{7} +(-2.64924 - 0.990728i) q^{8} +(-0.900969 - 0.433884i) q^{9} +(1.89345 + 0.677649i) q^{10} +(-0.736155 - 1.52864i) q^{11} +(0.893226 - 1.78945i) q^{12} +(0.572318 + 1.18843i) q^{13} +(-0.0173494 - 3.74162i) q^{14} +(-0.616996 + 1.28121i) q^{15} +(3.55322 + 1.83701i) q^{16} +(-1.94350 + 1.54989i) q^{17} +(1.19209 + 0.760876i) q^{18} -7.65788 q^{19} +(-2.54466 - 1.27020i) q^{20} +(2.63241 + 0.265383i) q^{21} +(0.776412 + 2.27036i) q^{22} +(-6.25283 - 4.98647i) q^{23} +(-1.55540 + 2.36236i) q^{24} +(-2.68293 - 1.29203i) q^{25} +(-0.603616 - 1.76507i) q^{26} +(-0.623490 + 0.781831i) q^{27} +(-0.605351 + 5.25676i) q^{28} +(5.04628 + 6.32784i) q^{29} +(1.08199 - 1.69518i) q^{30} +0.568290 q^{31} +(-4.68014 - 3.17747i) q^{32} +(-1.65412 + 0.377543i) q^{33} +(2.98984 - 1.84921i) q^{34} +(0.377383 - 3.74337i) q^{35} +(-1.54583 - 1.26902i) q^{36} +(2.14273 + 2.68690i) q^{37} +(10.7529 + 1.28882i) q^{38} +(1.28599 - 0.293518i) q^{39} +(3.35935 + 2.21183i) q^{40} +(0.860244 + 0.196345i) q^{41} +(-3.65167 - 0.815674i) q^{42} +(-3.14099 + 0.716910i) q^{43} +(-0.708110 - 3.31862i) q^{44} +(1.11179 + 0.886622i) q^{45} +(7.94078 + 8.05417i) q^{46} +(-5.38800 + 2.59473i) q^{47} +(2.58162 - 3.05536i) q^{48} +(-6.78609 + 1.71724i) q^{49} +(3.54982 + 2.26576i) q^{50} +(1.07856 + 2.23965i) q^{51} +(0.550515 + 2.58004i) q^{52} +(-3.41255 + 4.27920i) q^{53} +(1.00706 - 0.992886i) q^{54} +(0.536878 + 2.35222i) q^{55} +(1.73472 - 7.27947i) q^{56} +(-1.70404 + 7.46588i) q^{57} +(-6.02084 - 9.73461i) q^{58} +(2.27091 + 9.94952i) q^{59} +(-1.80459 + 2.19822i) q^{60} +(-0.303170 + 0.241770i) q^{61} +(-0.797973 - 0.0956430i) q^{62} +(0.844495 - 2.50735i) q^{63} +(6.03691 + 5.24935i) q^{64} +(-0.417392 - 1.82871i) q^{65} +(2.38620 - 0.251744i) q^{66} +9.48014i q^{67} +(-4.50944 + 2.09340i) q^{68} +(-6.25283 + 4.98647i) q^{69} +(-1.15991 + 5.19279i) q^{70} +(-11.7253 - 9.35058i) q^{71} +(1.95702 + 2.04208i) q^{72} +(1.03475 - 2.14868i) q^{73} +(-2.55654 - 4.13347i) q^{74} +(-1.85664 + 2.32816i) q^{75} +(-14.8819 - 3.61942i) q^{76} +(3.77264 - 2.43267i) q^{77} +(-1.85513 + 0.195717i) q^{78} -17.1021i q^{79} +(-4.34482 - 3.67114i) q^{80} +(0.623490 + 0.781831i) q^{81} +(-1.17488 - 0.420479i) q^{82} +(-2.34188 - 1.12779i) q^{83} +(4.99026 + 1.75991i) q^{84} +(3.18486 - 1.53375i) q^{85} +(4.53112 - 0.478032i) q^{86} +(7.29209 - 3.51169i) q^{87} +(0.435780 + 4.77906i) q^{88} +(-5.14003 + 10.6734i) q^{89} +(-1.41192 - 1.43208i) q^{90} +(-2.93301 + 1.89126i) q^{91} +(-9.79465 - 12.6458i) q^{92} +(0.126457 - 0.554042i) q^{93} +(8.00233 - 2.73662i) q^{94} +(10.6167 + 2.42320i) q^{95} +(-4.13923 + 3.85574i) q^{96} +1.85665i q^{97} +(9.81780 - 1.26920i) q^{98} +1.69666i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 168 q + 28 q^{3} - 2 q^{7} + 6 q^{8} - 28 q^{9}+O(q^{10}) $ 168 * q + 28 * q^3 - 2 * q^7 + 6 * q^8 - 28 * q^9	$ 168 q + 28 q^{3} - 2 q^{7} + 6 q^{8} - 28 q^{9} - 20 q^{10} + 14 q^{14} - 20 q^{16} - 12 q^{19} + 25 q^{20} + 2 q^{21} - 6 q^{22} - 27 q^{24} + 32 q^{25} - 6 q^{26} + 28 q^{27} + 6 q^{28} - 8 q^{30} + 4 q^{31} - 45 q^{32} - 44 q^{34} + 12 q^{35} - 10 q^{37} - 35 q^{38} - 14 q^{39} + 40 q^{40} + 7 q^{42} + 20 q^{44} + 28 q^{46} + 8 q^{47} - 8 q^{48} - 8 q^{49} + 114 q^{50} - 20 q^{52} - 8 q^{53} + 23 q^{56} + 12 q^{57} - 6 q^{58} - 20 q^{59} + 10 q^{60} - 14 q^{61} + 16 q^{62} + 12 q^{63} - 42 q^{64} - 8 q^{65} + 6 q^{66} + 16 q^{68} + 19 q^{70} - 28 q^{71} - 15 q^{72} + 22 q^{74} - 18 q^{75} - 49 q^{76} + 8 q^{77} + 6 q^{78} - 26 q^{80} - 28 q^{81} - 12 q^{82} - 10 q^{83} - 27 q^{84} - 24 q^{85} - 34 q^{86} + 94 q^{88} - 20 q^{90} + 16 q^{91} + 7 q^{92} - 4 q^{93} + 11 q^{94} + 10 q^{96} - 150 q^{98}+O(q^{100}) $ 168 * q + 28 * q^3 - 2 * q^7 + 6 * q^8 - 28 * q^9 - 20 * q^10 + 14 * q^14 - 20 * q^16 - 12 * q^19 + 25 * q^20 + 2 * q^21 - 6 * q^22 - 27 * q^24 + 32 * q^25 - 6 * q^26 + 28 * q^27 + 6 * q^28 - 8 * q^30 + 4 * q^31 - 45 * q^32 - 44 * q^34 + 12 * q^35 - 10 * q^37 - 35 * q^38 - 14 * q^39 + 40 * q^40 + 7 * q^42 + 20 * q^44 + 28 * q^46 + 8 * q^47 - 8 * q^48 - 8 * q^49 + 114 * q^50 - 20 * q^52 - 8 * q^53 + 23 * q^56 + 12 * q^57 - 6 * q^58 - 20 * q^59 + 10 * q^60 - 14 * q^61 + 16 * q^62 + 12 * q^63 - 42 * q^64 - 8 * q^65 + 6 * q^66 + 16 * q^68 + 19 * q^70 - 28 * q^71 - 15 * q^72 + 22 * q^74 - 18 * q^75 - 49 * q^76 + 8 * q^77 + 6 * q^78 - 26 * q^80 - 28 * q^81 - 12 * q^82 - 10 * q^83 - 27 * q^84 - 24 * q^85 - 34 * q^86 + 94 * q^88 - 20 * q^90 + 16 * q^91 + 7 * q^92 - 4 * q^93 + 11 * q^94 + 10 * q^96 - 150 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/588\mathbb{Z}\right)^\times$.

$n$	$197$	$295$	$493$
$\chi(n)$	$1$	$-1$	$e\left(\frac{1}{14}\right)$

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 $

$2$	−1.40416	−	0.168299i	−0.992894	−	0.119006i
$2$	−1.40416	−	0.168299i	−0.992894	−	0.119006i
$3$	0.222521	−	0.974928i	0.128473	−	0.562875i
$3$	0.222521	−	0.974928i	0.128473	−	0.562875i
$4$	1.94335	+	0.472640i	0.971675	+	0.236320i
$5$	−1.38638	−	0.316432i	−0.620007	−	0.141513i	−0.0990318	−	0.995084i	$-0.531575\pi$
$5$	−1.38638	−	0.316432i	−0.620007	−	0.141513i	−0.520975	+	0.853572i	$0.674432\pi$
$6$	−0.476536	+	1.33151i	−0.194545	+	0.543586i
$7$	0.327037	+	2.62546i	0.123608	+	0.992331i
$7$	0.327037	+	2.62546i	0.123608	+	0.992331i
$8$	−2.64924	−	0.990728i	−0.936647	−	0.350275i
$9$	−0.900969	−	0.433884i	−0.300323	−	0.144628i
$10$	1.89345	+	0.677649i	0.598760	+	0.214291i
$11$	−0.736155	−	1.52864i	−0.221959	−	0.460903i	0.760018	−	0.649902i	$-0.225190\pi$
$11$	−0.736155	−	1.52864i	−0.221959	−	0.460903i	−0.981977	+	0.188999i	$0.939476\pi$
$12$	0.893226	−	1.78945i	0.257852	−	0.516571i
$13$	0.572318	+	1.18843i	0.158732	+	0.329611i	0.965134	−	0.261757i	$-0.0843021\pi$
$13$	0.572318	+	1.18843i	0.158732	+	0.329611i	−0.806401	+	0.591369i	$0.798588\pi$
$14$	−0.0173494	−	3.74162i	−0.00463684	−	0.999989i
$15$	−0.616996	+	1.28121i	−0.159308	+	0.330806i
$16$	3.55322	+	1.83701i	0.888306	+	0.459252i
$17$	−1.94350	+	1.54989i	−0.471368	+	0.375903i	−0.830170	−	0.557510i	$-0.811757\pi$
$17$	−1.94350	+	1.54989i	−0.471368	+	0.375903i	0.358802	+	0.933414i	$0.383185\pi$
$18$	1.19209	+	0.760876i	0.280977	+	0.179340i
$19$	−7.65788			−1.75684			−0.878419	−	0.477891i	$-0.841401\pi$
$19$	−7.65788			−1.75684			−0.878419	+	0.477891i	$0.841401\pi$
$20$	−2.54466	−	1.27020i	−0.569004	−	0.284024i
$21$	2.63241	+	0.265383i	0.574439	+	0.0579113i
$22$	0.776412	+	2.27036i	0.165532	+	0.484042i
$23$	−6.25283	−	4.98647i	−1.30381	−	1.03975i	−0.996097	−	0.0882702i	$-0.971866\pi$
$23$	−6.25283	−	4.98647i	−1.30381	−	1.03975i	−0.307709	−	0.951480i	$-0.599562\pi$
$24$	−1.55540	+	2.36236i	−0.317495	+	0.482214i
$25$	−2.68293	−	1.29203i	−0.536586	−	0.258406i
$26$	−0.603616	−	1.76507i	−0.118379	−	0.346159i
$27$	−0.623490	+	0.781831i	−0.119991	+	0.150464i
$28$	−0.605351	+	5.25676i	−0.114401	+	0.993435i
$29$	5.04628	+	6.32784i	0.937071	+	1.17505i	0.984360	+	0.176169i	$0.0563706\pi$
$29$	5.04628	+	6.32784i	0.937071	+	1.17505i	−0.0472885	+	0.998881i	$0.515058\pi$
$30$	1.08199	−	1.69518i	0.197543	−	0.309497i
$31$	0.568290			0.102068			0.0510340	−	0.998697i	$-0.483748\pi$
$31$	0.568290			0.102068			0.0510340	+	0.998697i	$0.483748\pi$
$32$	−4.68014	−	3.17747i	−0.827339	−	0.561702i
$33$	−1.65412	+	0.377543i	−0.287946	+	0.0657218i
$34$	2.98984	−	1.84921i	0.512753	−	0.317137i
$35$	0.377383	−	3.74337i	0.0637893	−	0.632745i
$36$	−1.54583	−	1.26902i	−0.257638	−	0.211504i
$37$	2.14273	+	2.68690i	0.352263	+	0.441723i	0.926118	−	0.377233i	$-0.123124\pi$
$37$	2.14273	+	2.68690i	0.352263	+	0.441723i	−0.573856	+	0.818956i	$0.694553\pi$
$38$	10.7529	+	1.28882i	1.74435	+	0.209074i
$39$	1.28599	−	0.293518i	0.205923	−	0.0470005i
$40$	3.35935	+	2.21183i	0.531159	+	0.349721i
$41$	0.860244	+	0.196345i	0.134348	+	0.0306640i	0.289166	−	0.957279i	$-0.406622\pi$
$41$	0.860244	+	0.196345i	0.134348	+	0.0306640i	−0.154818	+	0.987943i	$0.549479\pi$
$42$	−3.65167	−	0.815674i	−0.563465	−	0.125861i
$43$	−3.14099	+	0.716910i	−0.478996	+	0.109328i	−0.455200	−	0.890389i	$-0.650432\pi$
$43$	−3.14099	+	0.716910i	−0.478996	+	0.109328i	−0.0237959	+	0.999717i	$0.507575\pi$
$44$	−0.708110	−	3.31862i	−0.106752	−	0.500301i
$45$	1.11179	+	0.886622i	0.165736	+	0.132170i
$46$	7.94078	+	8.05417i	1.17080	+	1.18752i
$47$	−5.38800	+	2.59473i	−0.785921	+	0.378480i	−0.783400	−	0.621517i	$-0.786517\pi$
$47$	−5.38800	+	2.59473i	−0.785921	+	0.378480i	−0.00252046	+	0.999997i	$0.500802\pi$
$48$	2.58162	−	3.05536i	0.372625	−	0.441004i
$49$	−6.78609	+	1.71724i	−0.969442	+	0.245321i
$50$	3.54982	+	2.26576i	0.502021	+	0.320426i
$51$	1.07856	+	2.23965i	0.151029	+	0.313614i
$52$	0.550515	+	2.58004i	0.0763427	+	0.357787i
$53$	−3.41255	+	4.27920i	−0.468749	+	0.587793i	−0.958864	−	0.283865i	$-0.908383\pi$
$53$	−3.41255	+	4.27920i	−0.468749	+	0.587793i	0.490115	+	0.871658i	$0.336955\pi$
$54$	1.00706	−	0.992886i	0.137044	−	0.135115i
$55$	0.536878	+	2.35222i	0.0723927	+	0.317173i
$56$	1.73472	−	7.27947i	0.231812	−	0.972761i
$57$	−1.70404	+	7.46588i	−0.225705	+	0.988880i
$58$	−6.02084	−	9.73461i	−0.790575	−	1.27822i
$59$	2.27091	+	9.94952i	0.295648	+	1.29532i	0.876537	+	0.481335i	$0.159848\pi$
$59$	2.27091	+	9.94952i	0.295648	+	1.29532i	−0.580889	+	0.813983i	$0.697295\pi$
$60$	−1.80459	+	2.19822i	−0.232972	+	0.283788i
$61$	−0.303170	+	0.241770i	−0.0388169	+	0.0309555i	−0.642706	−	0.766113i	$-0.722188\pi$
$61$	−0.303170	+	0.241770i	−0.0388169	+	0.0309555i	0.603889	+	0.797068i	$0.293617\pi$
$62$	−0.797973	−	0.0956430i	−0.101343	−	0.0121467i
$63$	0.844495	−	2.50735i	0.106396	−	0.315897i
$64$	6.03691	+	5.24935i	0.754614	+	0.656169i
$65$	−0.417392	−	1.82871i	−0.0517711	−	0.226824i
$66$	2.38620	−	0.251744i	0.293721	−	0.0309876i
$67$			9.48014i			1.15818i	0.815263	+	0.579092i	$0.196593\pi$
$67$			9.48014i			1.15818i	−0.815263	+	0.579092i	$0.803407\pi$
$68$	−4.50944	+	2.09340i	−0.546850	+	0.253862i
$69$	−6.25283	+	4.98647i	−0.752753	+	0.600300i
$70$	−1.15991	+	5.19279i	−0.138636	+	0.620657i
$71$	−11.7253	−	9.35058i	−1.39153	−	1.10971i	−0.980152	−	0.198246i	$-0.936476\pi$
$71$	−11.7253	−	9.35058i	−1.39153	−	1.10971i	−0.411380	−	0.911464i	$-0.634953\pi$
$72$	1.95702	+	2.04208i	0.230637	+	0.240661i
$73$	1.03475	−	2.14868i	0.121108	−	0.251484i	−0.831597	−	0.555380i	$-0.812573\pi$
$73$	1.03475	−	2.14868i	0.121108	−	0.251484i	0.952705	+	0.303895i	$0.0982873\pi$
$74$	−2.55654	−	4.13347i	−0.297192	−	0.480506i
$75$	−1.85664	+	2.32816i	−0.214387	+	0.268833i
$76$	−14.8819	−	3.61942i	−1.70708	−	0.415176i
$77$	3.77264	−	2.43267i	0.429932	−	0.277228i
$78$	−1.85513	+	0.195717i	−0.210053	+	0.0221605i
$79$		−	17.1021i		−	1.92413i	−0.272817	−	0.962066i	$-0.587955\pi$
$79$		−	17.1021i		−	1.92413i	0.272817	−	0.962066i	$-0.412045\pi$
$80$	−4.34482	−	3.67114i	−0.485766	−	0.410446i
$81$	0.623490	+	0.781831i	0.0692766	+	0.0868702i
$82$	−1.17488	−	0.420479i	−0.129744	−	0.0464342i
$83$	−2.34188	−	1.12779i	−0.257055	−	0.123791i	0.300919	−	0.953650i	$-0.402707\pi$
$83$	−2.34188	−	1.12779i	−0.257055	−	0.123791i	−0.557974	+	0.829859i	$0.688421\pi$
$84$	4.99026	+	1.75991i	0.544482	+	0.192022i
$85$	3.18486	−	1.53375i	0.345447	−	0.166358i
$86$	4.53112	−	0.478032i	0.488603	−	0.0515476i
$87$	7.29209	−	3.51169i	0.781794	−	0.376492i
$88$	0.435780	+	4.77906i	0.0464543	+	0.509450i
$89$	−5.14003	+	10.6734i	−0.544842	+	1.13138i	0.428823	+	0.903389i	$0.358929\pi$
$89$	−5.14003	+	10.6734i	−0.544842	+	1.13138i	−0.973664	+	0.227987i	$0.926786\pi$
$90$	−1.41192	−	1.43208i	−0.148829	−	0.150954i
$91$	−2.93301	+	1.89126i	−0.307463	+	0.198258i
$92$	−9.79465	−	12.6458i	−1.02116	−	1.31842i
$93$	0.126457	−	0.554042i	0.0131129	−	0.0574515i
$94$	8.00233	−	2.73662i	0.825377	−	0.282261i
$95$	10.6167	+	2.42320i	1.08925	+	0.248615i
$96$	−4.13923	+	3.85574i	−0.422458	+	0.393525i
$97$			1.85665i			0.188514i	0.995548	+	0.0942571i	$0.0300476\pi$
$97$			1.85665i			0.188514i	−0.995548	+	0.0942571i	$0.969952\pi$
$98$	9.81780	−	1.26920i	0.991747	−	0.128208i
$99$			1.69666i			0.170521i
$100$	−4.60321	−	3.77893i	−0.460321	−	0.377893i
$101$	5.36275	+	1.22401i	0.533614	+	0.121794i	0.480833	−	0.876812i	$-0.340334\pi$
$101$	5.36275	+	1.22401i	0.533614	+	0.121794i	0.0527808	+	0.998606i	$0.483192\pi$
$102$	−1.13754	−	3.32636i	−0.112634	−	0.329359i
$103$	−2.64732	+	11.5987i	−0.260848	+	1.14285i	0.659486	+	0.751717i	$0.270774\pi$
$103$	−2.64732	+	11.5987i	−0.260848	+	1.14285i	−0.920334	+	0.391133i	$0.872083\pi$
$104$	−0.338794	−	3.71545i	−0.0332215	−	0.364329i
$105$	−3.56554	−	1.20090i	−0.347961	−	0.117196i
$106$	5.51196	−	5.43436i	0.535369	−	0.527832i
$107$	0.867216	−	1.80079i	0.0838369	−	0.174089i	−0.854836	−	0.518899i	$-0.826342\pi$
$107$	0.867216	−	1.80079i	0.0838369	−	0.174089i	0.938673	+	0.344810i	$0.112056\pi$
$108$	−1.58118	+	1.22469i	−0.152150	+	0.117846i
$109$	13.2211	−	6.36695i	1.26635	−	0.609844i	0.324506	−	0.945884i	$-0.394802\pi$
$109$	13.2211	−	6.36695i	1.26635	−	0.609844i	0.941848	+	0.336040i	$0.109088\pi$
$110$	−0.357988	−	3.39325i	−0.0341328	−	0.323534i
$111$	3.09633	−	1.49112i	0.293891	−	0.141530i
$112$	−3.66096	+	9.92962i	−0.345929	+	0.938261i
$113$	−6.52739	−	3.14343i	−0.614046	−	0.295709i	0.100892	−	0.994897i	$-0.467830\pi$
$113$	−6.52739	−	3.14343i	−0.614046	−	0.295709i	−0.714937	+	0.699189i	$0.753545\pi$
$114$	3.64925	−	10.1965i	0.341784	−	0.954992i
$115$	7.09092	+	8.89173i	0.661231	+	0.829158i
$116$	6.81591	+	14.6823i	0.632841	+	1.36322i
$117$		−	1.31906i		−	0.121947i
$118$	−1.51424	−	14.3529i	−0.139397	−	1.32130i
$119$	−4.70477	−	4.59571i	−0.431286	−	0.421288i
$120$	2.90390	−	2.78294i	0.265088	−	0.254047i
$121$	5.06357	−	6.34951i	0.460324	−	0.577229i
$122$	0.466390	−	0.288461i	0.0422250	−	0.0261161i
$123$	0.382845	−	0.794985i	0.0345200	−	0.0716814i
$124$	1.10439	+	0.268597i	0.0991769	+	0.0241207i
$125$	8.86966	+	7.07332i	0.793327	+	0.632657i
$126$	−1.60780	+	3.37861i	−0.143234	+	0.300990i
$127$	6.95401	−	5.54563i	0.617068	−	0.492095i	−0.264353	−	0.964426i	$-0.585159\pi$
$127$	6.95401	−	5.54563i	0.617068	−	0.492095i	0.881422	+	0.472330i	$0.156587\pi$
$128$	−7.59335	−	8.38695i	−0.671164	−	0.741309i
$129$			3.22176i			0.283661i
$130$	0.278315	+	2.63806i	0.0244099	+	0.231373i
$131$	0.382231	+	1.67466i	0.0333956	+	0.146316i	0.988877	−	0.148736i	$-0.0475203\pi$
$131$	0.382231	+	1.67466i	0.0333956	+	0.146316i	−0.955481	+	0.295051i	$0.904663\pi$
$132$	−3.39299	−	0.0481065i	−0.295321	−	0.00418713i
$133$	−2.50441	−	20.1055i	−0.217160	−	1.74337i
$134$	1.59550	−	13.3117i	0.137830	−	1.14995i
$135$	1.11179	−	0.886622i	0.0956876	−	0.0763083i
$136$	6.68431	−	2.18054i	0.573175	−	0.186980i
$137$	−1.63330	−	7.15595i	−0.139542	−	0.611374i	−0.995536	−	0.0943873i	$-0.969911\pi$
$137$	−1.63330	−	7.15595i	−0.139542	−	0.611374i	0.855993	−	0.516987i	$-0.172946\pi$
$138$	9.61922	−	5.94947i	0.818843	−	0.506452i
$139$	1.58739	−	6.95481i	0.134641	−	0.589899i	−0.861921	−	0.507043i	$-0.830739\pi$
$139$	1.58739	−	6.95481i	0.134641	−	0.589899i	0.996561	−	0.0828565i	$-0.0264043\pi$
$140$	2.50265	−	7.09631i	0.211513	−	0.599748i
$141$	1.33073	+	5.83029i	0.112067	+	0.490999i
$142$	14.8905	+	15.1031i	1.24958	+	1.26742i
$143$	1.39537	−	1.74974i	0.116687	−	0.146320i
$144$	−2.40429	−	3.19677i	−0.200358	−	0.266398i
$145$	−4.99373	−	10.3696i	−0.414707	−	0.861147i
$146$	−1.81458	+	2.84295i	−0.150176	+	0.235285i
$147$	0.164142	+	6.99808i	0.0135382	+	0.577192i
$148$	2.89414	+	6.23433i	0.237897	+	0.512458i
$149$	15.9373	−	7.67499i	1.30563	−	0.628759i	0.353784	−	0.935327i	$-0.384895\pi$
$149$	15.9373	−	7.67499i	1.30563	−	0.628759i	0.951849	+	0.306568i	$0.0991806\pi$
$150$	2.99886	−	2.95664i	0.244856	−	0.241409i
$151$	−9.57613	−	7.63671i	−0.779294	−	0.621466i	0.150894	−	0.988550i	$-0.451785\pi$
$151$	−9.57613	−	7.63671i	−0.779294	−	0.621466i	−0.930188	+	0.367084i	$0.880356\pi$
$152$	20.2875	+	7.58688i	1.64554	+	0.615377i
$153$	2.42350	−	0.553149i	0.195929	−	0.0447195i
$154$	−5.70682	+	2.78093i	−0.459868	+	0.224094i
$155$	−0.787866	−	0.179825i	−0.0632829	−	0.0144439i
$156$	2.63785	+	0.0374000i	0.211197	+	0.00299440i
$157$	−8.41676	+	1.92107i	−0.671731	+	0.153318i	−0.544765	−	0.838589i	$-0.683381\pi$
$157$	−8.41676	+	1.92107i	−0.671731	+	0.153318i	−0.126966	+	0.991907i	$0.540524\pi$
$158$	−2.87827	+	24.0141i	−0.228983	+	1.91046i
$159$	3.41255	+	4.27920i	0.270633	+	0.339363i
$160$	5.48299	+	5.88612i	0.433469	+	0.465338i
$161$	11.0469	−	18.0473i	0.870616	−	1.42233i
$162$	−0.743900	−	1.20275i	−0.0584463	−	0.0944971i
$163$	−9.11997	+	2.08157i	−0.714331	+	0.163041i	−0.564216	−	0.825627i	$-0.690821\pi$
$163$	−9.11997	+	2.08157i	−0.714331	+	0.163041i	−0.150115	+	0.988669i	$0.547964\pi$
$164$	1.57896	+	0.788153i	0.123296	+	0.0615444i
$165$	2.41271			0.187829
$166$	3.09858	+	1.97774i	0.240496	+	0.153502i
$167$	5.37750	+	6.74317i	0.416123	+	0.521802i	0.945077	−	0.326849i	$-0.105987\pi$
$167$	5.37750	+	6.74317i	0.416123	+	0.521802i	−0.528954	+	0.848651i	$0.677415\pi$
$168$	−6.71095	−	3.31106i	−0.517761	−	0.255454i
$169$	7.02055	−	8.80349i	0.540042	−	0.677191i
$170$	−4.73019	+	1.61762i	−0.362789	+	0.124066i
$171$	6.89951	+	3.32263i	0.527619	+	0.254088i
$172$	−6.44288	−	0.0913486i	−0.491265	−	0.00696526i
$173$	−15.7125	−	12.5303i	−1.19460	−	0.952659i	−0.194992	−	0.980805i	$-0.562468\pi$
$173$	−15.7125	−	12.5303i	−1.19460	−	0.952659i	−0.999604	+	0.0281460i	$0.991040\pi$
$174$	−10.8303	+	3.70373i	−0.821043	+	0.280779i
$175$	2.51476	−	7.46647i	0.190098	−	0.564412i
$176$	0.192407	−	6.78393i	0.0145032	−	0.511358i
$177$	10.2054			0.767084
$178$	9.01376	−	14.1221i	0.675610	−	1.05850i
$179$	1.46121	−	1.16527i	0.109216	−	0.0870966i	−0.567359	−	0.823470i	$-0.692035\pi$
$179$	1.46121	−	1.16527i	0.109216	−	0.0870966i	0.676575	+	0.736374i	$0.263463\pi$
$180$	1.74154	+	2.24849i	0.129807	+	0.167593i
$181$	9.98002	−	20.7237i	0.741809	−	1.54038i	−0.0965889	−	0.995324i	$-0.530793\pi$
$181$	9.98002	−	20.7237i	0.741809	−	1.54038i	0.838398	−	0.545058i	$-0.183492\pi$
$182$	4.43672	−	2.16201i	0.328872	−	0.160259i
$183$	0.168247	+	0.349368i	0.0124372	+	0.0258260i
$184$	11.6250	+	19.4052i	0.857007	+	1.43057i
$185$	−2.12041	−	4.40309i	−0.155896	−	0.323721i
$186$	−0.270811	+	0.756683i	−0.0198568	+	0.0554827i
$187$	3.79994	+	1.82995i	0.277879	+	0.133820i
$188$	−11.6971	+	2.49588i	−0.853102	+	0.182030i
$189$	−2.25657	−	1.38126i	−0.164141	−	0.100472i
$190$	−14.4998	−	5.18935i	−1.05193	−	0.376475i
$191$	10.1773	+	2.32290i	0.736403	+	0.168079i	0.574243	−	0.818685i	$-0.305297\pi$
$191$	10.1773	+	2.32290i	0.736403	+	0.168079i	0.162160	+	0.986764i	$0.448154\pi$
$192$	6.46108	−	4.71747i	0.466288	−	0.340454i
$193$	−4.83158	+	21.1685i	−0.347785	+	1.52375i	0.434412	+	0.900714i	$0.356956\pi$
$193$	−4.83158	+	21.1685i	−0.347785	+	1.52375i	−0.782197	+	0.623031i	$0.785901\pi$
$194$	0.312473	−	2.60704i	0.0224342	−	0.187174i
$195$	−1.87574			−0.134325
$196$	−13.9994	+	0.129830i	−0.999957	+	0.00927357i
$197$	−16.7464			−1.19313			−0.596567	−	0.802563i	$-0.703469\pi$
$197$	−16.7464			−1.19313			−0.596567	+	0.802563i	$0.703469\pi$
$198$	0.285547	−	2.38239i	0.0202930	−	0.169309i
$199$	4.96566	−	21.7560i	0.352007	−	1.54224i	−0.420534	−	0.907277i	$-0.638157\pi$
$199$	4.96566	−	21.7560i	0.352007	−	1.54224i	0.772541	−	0.634965i	$-0.218985\pi$
$200$	5.82766	+	6.08095i	0.412078	+	0.429988i
$201$	9.24245	+	2.10953i	0.651912	+	0.148795i
$202$	−7.32418	−	2.62126i	−0.515327	−	0.184431i
$203$	−14.9632	+	15.3183i	−1.05021	+	1.07513i
$204$	1.03747	+	4.86221i	0.0726376	+	0.340422i
$205$	−1.13049	−	0.544417i	−0.0789572	−	0.0380238i
$206$	5.66931	−	15.8409i	0.395000	−	1.10369i
$207$	3.47006	+	7.20566i	0.241186	+	0.500828i
$208$	−0.149585	+	5.27411i	−0.0103719	+	0.365694i
$209$	5.63738	+	11.7061i	0.389946	+	0.809731i
$210$	4.80449	+	2.28634i	0.331541	+	0.157772i
$211$	0.129921	−	0.269783i	0.00894411	−	0.0185726i	−0.896449	−	0.443147i	$-0.853862\pi$
$211$	0.129921	−	0.269783i	0.00894411	−	0.0185726i	0.905393	+	0.424574i	$0.139576\pi$
$212$	−8.65429	+	6.70308i	−0.594379	+	0.460369i
$213$	−11.7253	+	9.35058i	−0.803401	+	0.640691i
$214$	−1.52078	+	2.38265i	−0.103959	+	0.162875i
$215$	4.58145			0.312452
$216$	2.42635	−	1.45355i	0.165093	−	0.0989014i
$217$	0.185852	+	1.49202i	0.0126164	+	0.101285i
$218$	−19.6362	+	6.71514i	−1.32993	+	0.454807i
$219$	−1.86456	−	1.48693i	−0.125995	−	0.100478i
$220$	−0.0684089	+	4.82493i	−0.00461213	+	0.325297i
$221$	−2.95424	−	1.42268i	−0.198723	−	0.0957001i
$222$	−4.59871	+	1.57266i	−0.308646	+	0.105550i
$223$	−6.03154	+	7.56332i	−0.403902	+	0.506477i	−0.941634	−	0.336639i	$-0.890710\pi$
$223$	−6.03154	+	7.56332i	−0.403902	+	0.506477i	0.537732	+	0.843116i	$0.319281\pi$
$224$	6.81174	−	13.3267i	0.455129	−	0.890426i
$225$	1.85664	+	2.32816i	0.123776	+	0.155211i
$226$	8.63649	+	5.51244i	0.574491	+	0.366682i
$227$	27.4958			1.82496			0.912480	−	0.409121i	$-0.134165\pi$
$227$	27.4958			1.82496			0.912480	+	0.409121i	$0.134165\pi$
$228$	−6.84022	+	13.7034i	−0.453004	+	0.907532i
$229$	−11.0203	+	2.51531i	−0.728242	+	0.166217i	−0.570540	−	0.821270i	$-0.693266\pi$
$229$	−11.0203	+	2.51531i	−0.728242	+	0.166217i	−0.157703	+	0.987487i	$0.550409\pi$
$230$	−8.46033	−	13.6788i	−0.557858	−	0.901956i
$231$	−1.53218	−	4.21937i	−0.100810	−	0.277614i
$232$	−7.09963	−	21.7634i	−0.466114	−	1.42884i
$233$	4.73593	+	5.93866i	0.310261	+	0.389055i	0.912375	−	0.409355i	$-0.134246\pi$
$233$	4.73593	+	5.93866i	0.310261	+	0.389055i	−0.602114	+	0.798410i	$0.705675\pi$
$234$	−0.221997	+	1.85217i	−0.0145124	+	0.121080i
$235$	8.29086	−	1.89234i	0.540836	−	0.123442i
$236$	−0.289359	+	20.4087i	−0.0188357	+	1.32850i
$237$	−16.6733	−	3.80557i	−1.08305	−	0.247198i
$238$	5.83281	+	7.24494i	0.378085	+	0.469620i
$239$	13.2894	−	3.03321i	0.859617	−	0.196202i	0.230079	−	0.973172i	$-0.426101\pi$
$239$	13.2894	−	3.03321i	0.859617	−	0.196202i	0.629538	+	0.776970i	$0.283244\pi$
$240$	−4.54591	+	3.41898i	−0.293438	+	0.220694i
$241$	−13.4427	−	10.7202i	−0.865921	−	0.690549i	0.0861975	−	0.996278i	$-0.472528\pi$
$241$	−13.4427	−	10.7202i	−0.865921	−	0.690549i	−0.952119	+	0.305729i	$0.901100\pi$
$242$	−8.17870	+	8.06356i	−0.525747	+	0.518345i
$243$	0.900969	−	0.433884i	0.0577972	−	0.0278337i
$244$	−0.703436	+	0.326554i	−0.0450329	+	0.0209055i
$245$	9.95148	−	0.233415i	0.635777	−	0.0149123i
$246$	−0.671372	+	1.05186i	−0.0428051	+	0.0670639i
$247$	−4.38274	−	9.10086i	−0.278867	−	0.579074i
$248$	−1.50554	−	0.563022i	−0.0956016	−	0.0357519i
$249$	−1.62063	+	2.03221i	−0.102703	+	0.128786i
$250$	−11.2640	−	11.4249i	−0.712399	−	0.722571i
$251$	0.598821	+	2.62360i	0.0377972	+	0.165600i	0.990304	−	0.138917i	$-0.0443620\pi$
$251$	0.598821	+	2.62360i	0.0377972	+	0.165600i	−0.952507	+	0.304517i	$0.901505\pi$
$252$	2.82623	−	4.47353i	0.178035	−	0.281806i
$253$	−3.01947	+	13.2291i	−0.189832	+	0.831710i
$254$	−10.6979	+	6.61662i	−0.671245	+	0.415164i
$255$	−0.786596	−	3.44630i	−0.0492585	−	0.215816i
$256$	9.25079	+	13.0546i	0.578174	+	0.815913i
$257$	−14.7566	+	11.7680i	−0.920493	+	0.734069i	−0.964256	−	0.264973i	$-0.914637\pi$
$257$	−14.7566	+	11.7680i	−0.920493	+	0.734069i	0.0437629	+	0.999042i	$0.486065\pi$
$258$	0.542221	−	4.52388i	0.0337572	−	0.281645i
$259$	−6.35360	+	6.50437i	−0.394793	+	0.404162i
$260$	0.0531840	−	3.75111i	0.00329833	−	0.232634i
$261$	−1.80100	−	7.89069i	−0.111479	−	0.488421i
$262$	−0.254870	−	2.41583i	−0.0157459	−	0.149250i
$263$		−	10.5675i		−	0.651622i	−0.945435	−	0.325811i	$-0.894363\pi$
$263$		−	10.5675i		−	0.651622i	0.945435	−	0.325811i	$-0.105637\pi$
$264$	4.75621	+	0.638587i	0.292725	+	0.0393023i
$265$	6.08516	−	4.85275i	0.373808	−	0.298102i
$266$	0.132860	+	28.6529i	0.00814617	+	1.75682i
$267$	9.26201	+	7.38620i	0.566826	+	0.452028i
$268$	−4.48069	+	18.4232i	−0.273702	+	1.12538i
$269$	−6.04268	+	12.5478i	−0.368429	+	0.765051i	−0.999947	−	0.0103107i	$-0.996718\pi$
$269$	−6.04268	+	12.5478i	−0.368429	+	0.765051i	0.631518	+	0.775361i	$0.282432\pi$
$270$	−1.71035	+	1.05785i	−0.104089	+	0.0643787i
$271$	−20.2776	+	25.4273i	−1.23177	+	1.54460i	−0.494167	+	0.869367i	$0.664527\pi$
$271$	−20.2776	+	25.4273i	−1.23177	+	1.54460i	−0.737607	+	0.675230i	$0.764044\pi$
$272$	−9.75285	+	1.93687i	−0.591353	+	0.117440i
$273$	1.19119	+	3.28032i	0.0720938	+	0.198534i
$274$	1.08908	+	10.3230i	0.0657935	+	0.623636i
$275$			5.05237i			0.304669i
$276$	−14.5083	+	6.73512i	−0.873294	+	0.405406i
$277$	13.9750	+	17.5241i	0.839677	+	1.05292i	0.997852	+	0.0655109i	$0.0208677\pi$
$277$	13.9750	+	17.5241i	0.839677	+	1.05292i	−0.158175	+	0.987411i	$0.550561\pi$
$278$	−3.39945	+	9.49854i	−0.203885	+	0.569684i
$279$	−0.512012	−	0.246572i	−0.0306534	−	0.0147619i
$280$	−4.70844	+	9.54318i	−0.281383	+	0.570314i
$281$	−7.95677	+	3.83178i	−0.474661	+	0.228585i	−0.655890	−	0.754856i	$-0.727707\pi$
$281$	−7.95677	+	3.83178i	−0.474661	+	0.228585i	0.181229	+	0.983441i	$0.441992\pi$
$282$	−0.887323	−	8.41065i	−0.0528393	−	0.500847i
$283$	−11.6399	+	5.60548i	−0.691921	+	0.333211i	−0.746582	−	0.665294i	$-0.768306\pi$
$283$	−11.6399	+	5.60548i	−0.691921	+	0.333211i	0.0546612	+	0.998505i	$0.482592\pi$
$284$	−18.3668	−	23.7133i	−1.08987	−	1.40712i
$285$	4.72488	−	9.81132i	0.279878	−	0.581173i
$286$	−2.25381	+	2.22208i	−0.133270	+	0.131394i
$287$	−0.234165	+	2.32275i	−0.0138223	+	0.137108i
$288$	2.83801	+	4.89344i	0.167231	+	0.288348i
$289$	−2.40782	+	10.5494i	−0.141637	+	0.620550i
$290$	5.26682	+	15.4010i	0.309278	+	0.904380i
$291$	1.81010	+	0.413143i	0.106110	+	0.0242189i
$292$	3.02644	−	3.68658i	0.177109	−	0.215741i
$293$			20.3547i			1.18913i	0.804047	+	0.594566i	$0.202676\pi$
$293$			20.3547i			1.18913i	−0.804047	+	0.594566i	$0.797324\pi$
$294$	0.947290	−	9.85407i	0.0552471	−	0.574701i
$295$		−	14.5124i		−	0.844944i
$296$	−3.01461	−	9.24110i	−0.175221	−	0.537128i
$297$	1.65412	+	0.377543i	0.0959820	+	0.0219073i
$298$	−23.6702	+	8.09470i	−1.37118	+	0.468914i
$299$	2.34746	−	10.2849i	0.135757	−	0.594791i
$300$	−4.70849	+	3.64690i	−0.271845	+	0.210554i
$301$	−2.90944	−	8.01209i	−0.167697	−	0.461809i
$302$	12.1612	+	12.3348i	0.699798	+	0.709790i
$303$	2.38665	−	4.95593i	0.137109	−	0.284711i
$304$	−27.2102	−	14.0676i	−1.56061	−	0.806832i
$305$	0.496812	−	0.239252i	0.0284474	−	0.0136995i
$306$	−3.49609	+	0.368837i	−0.199858	+	0.0210850i
$307$	−5.64999	+	2.72089i	−0.322462	+	0.155290i	−0.588111	−	0.808780i	$-0.700128\pi$
$307$	−5.64999	+	2.72089i	−0.322462	+	0.155290i	0.265649	+	0.964070i	$0.414414\pi$
$308$	8.48133	−	2.94443i	0.483269	−	0.167774i
$309$	10.7188	+	5.16189i	0.609770	+	0.293650i
$310$	1.07603	+	0.385101i	0.0611143	+	0.0218723i
$311$	11.9476	+	14.9819i	0.677489	+	0.849544i	0.995120	−	0.0986701i	$-0.0314588\pi$
$311$	11.9476	+	14.9819i	0.677489	+	0.849544i	−0.317631	+	0.948214i	$0.602887\pi$
$312$	−3.69768	−	0.496465i	−0.209340	−	0.0281068i
$313$		−	21.0129i		−	1.18772i	−0.804568	−	0.593860i	$-0.797603\pi$
$313$		−	21.0129i		−	1.18772i	0.804568	−	0.593860i	$-0.202397\pi$
$314$	12.1418	−	1.28096i	0.685203	−	0.0722889i
$315$	−1.96420	+	3.20892i	−0.110670	+	0.180802i
$316$	8.08311	−	33.2353i	0.454711	−	1.86963i
$317$	−2.88704	+	3.62023i	−0.162152	+	0.203333i	−0.856269	−	0.516530i	$-0.827224\pi$
$317$	−2.88704	+	3.62023i	−0.162152	+	0.203333i	0.694117	+	0.719862i	$0.255795\pi$
$318$	−4.07159	−	6.58302i	−0.228323	−	0.369158i
$319$	5.95815	−	12.3722i	0.333592	−	0.692712i
$320$	−6.70839	−	9.18786i	−0.375010	−	0.513617i
$321$	−1.56267	−	1.24619i	−0.0872196	−	0.0695553i
$322$	−18.5490	+	23.4822i	−1.03369	+	1.30861i
$323$	14.8831	−	11.8689i	0.828117	−	0.660401i
$324$	0.842135	+	1.81406i	0.0467853	+	0.100781i
$325$		−	3.92793i		−	0.217882i
$326$	13.1563	−	1.38798i	0.728657	−	0.0768733i
$327$	−3.26535	−	14.3064i	−0.180574	−	0.791147i
$328$	−2.08447	−	1.37243i	−0.115095	−	0.0757800i
$329$	−8.57443	−	13.2974i	−0.472723	−	0.733111i
$330$	−3.38784	−	0.406058i	−0.186494	−	0.0223527i
$331$	10.5148	−	8.38531i	0.577948	−	0.460898i	−0.290364	−	0.956916i	$-0.593776\pi$
$331$	10.5148	−	8.38531i	0.577948	−	0.460898i	0.868312	+	0.496018i	$0.165205\pi$
$332$	−4.01806	−	3.29856i	−0.220520	−	0.181032i
$333$	−0.764732	−	3.35051i	−0.0419070	−	0.183607i
$334$	−6.41601	−	10.3735i	−0.351069	−	0.567615i
$335$	2.99982	−	13.1431i	0.163898	−	0.718082i
$336$	8.86602	+	5.77872i	0.483681	+	0.315255i
$337$	−3.73331	−	16.3567i	−0.203366	−	0.891005i	−0.968869	−	0.247573i	$-0.920367\pi$
$337$	−3.73331	−	16.3567i	−0.203366	−	0.891005i	0.765503	−	0.643432i	$-0.222490\pi$
$338$	−11.3396	+	11.1800i	−0.616794	+	0.608111i
$339$	−4.51710	+	5.66426i	−0.245335	+	0.307640i
$340$	6.91421	−	1.47532i	0.374976	−	0.0800104i
$341$	−0.418350	−	0.868712i	−0.0226549	−	0.0470434i
$342$	−9.12885	−	5.82670i	−0.493631	−	0.315072i
$343$	−6.72786	−	17.2550i	−0.363270	−	0.931684i
$344$	9.03149	+	1.21260i	0.486945	+	0.0653791i
$345$	10.2467	−	4.93454i	0.551662	−	0.265667i
$346$	19.9540	+	20.2389i	1.07274	+	1.08805i
$347$	5.59985	+	4.46573i	0.300616	+	0.239733i	0.762167	−	0.647381i	$-0.224136\pi$
$347$	5.59985	+	4.46573i	0.300616	+	0.239733i	−0.461551	+	0.887114i	$0.652707\pi$
$348$	15.8309	−	3.37790i	0.848623	−	0.181075i
$349$	4.00327	−	0.913720i	0.214290	−	0.0489103i	−0.114028	−	0.993478i	$-0.536375\pi$
$349$	4.00327	−	0.913720i	0.214290	−	0.0489103i	0.328318	+	0.944567i	$0.393518\pi$
$350$	−4.78774	+	10.0609i	−0.255915	+	0.537778i
$351$	−1.28599	−	0.293518i	−0.0686409	−	0.0156668i
$352$	−1.41190	+	9.49336i	−0.0752546	+	0.505998i
$353$	−10.4353	+	2.38180i	−0.555418	+	0.126770i	−0.491011	−	0.871153i	$-0.663373\pi$
$353$	−10.4353	+	2.38180i	−0.555418	+	0.126770i	−0.0644065	+	0.997924i	$0.520515\pi$
$354$	−14.3300	−	1.71756i	−0.761633	−	0.0912874i
$355$	13.2968	+	16.6737i	0.705722	+	0.884948i
$356$	−15.0335	+	18.3127i	−0.796776	+	0.970572i
$357$	−5.52740	+	3.56417i	−0.292541	+	0.188636i
$358$	−2.24789	+	1.39031i	−0.118805	+	0.0734804i
$359$	−12.0515	+	2.75068i	−0.636054	+	0.145175i	−0.528376	−	0.849011i	$-0.677199\pi$
$359$	−12.0515	+	2.75068i	−0.636054	+	0.145175i	−0.107678	+	0.994186i	$0.534342\pi$
$360$	−2.06699	−	3.45035i	−0.108940	−	0.181850i
$361$	39.6431			2.08648
$362$	−17.5014	+	27.4199i	−0.919852	+	1.44116i
$363$	−5.06357	−	6.34951i	−0.265768	−	0.333263i
$364$	−6.59375	+	2.28912i	−0.345606	+	0.119983i
$365$	−2.11447	+	2.65146i	−0.110676	+	0.138784i
$366$	−0.177447	−	0.518885i	−0.00927533	−	0.0271226i
$367$	−5.18409	−	2.49653i	−0.270607	−	0.130318i	0.293660	−	0.955910i	$-0.405127\pi$
$367$	−5.18409	−	2.49653i	−0.270607	−	0.130318i	−0.564267	+	0.825592i	$0.690841\pi$
$368$	−13.0575	−	29.2046i	−0.680670	−	1.52239i
$369$	−0.689862	−	0.550147i	−0.0359128	−	0.0286395i
$370$	2.23637	+	6.53952i	0.116263	+	0.339973i
$371$	−12.3509	−	7.56005i	−0.641227	−	0.392498i
$372$	0.507612	−	1.01693i	0.0263184	−	0.0527254i
$373$	−0.499602			−0.0258684			−0.0129342	−	0.999916i	$-0.504117\pi$
$373$	−0.499602			−0.0258684			−0.0129342	+	0.999916i	$0.504117\pi$
$374$	−5.02776	−	3.20908i	−0.259979	−	0.165938i
$375$	8.86966	−	7.07332i	0.458027	−	0.365265i
$376$	16.8448	−	1.53600i	0.868702	−	0.0792129i
$377$	−4.63212	+	9.61869i	−0.238566	+	0.495388i
$378$	2.93613	+	2.31930i	0.151018	+	0.119292i
$379$	−4.28373	−	8.89526i	−0.220041	−	0.456919i	0.761502	−	0.648163i	$-0.224462\pi$
$379$	−4.28373	−	8.89526i	−0.220041	−	0.456919i	−0.981543	+	0.191244i	$0.938748\pi$
$380$	19.4867	+	9.72701i	0.999647	+	0.498985i
$381$	−3.85918	−	8.01367i	−0.197712	−	0.410553i
$382$	−13.8996	−	4.97456i	−0.711167	−	0.254521i
$383$	31.8187	+	15.3231i	1.62586	+	0.782974i	0.999995	+	0.00304290i	$0.000968588\pi$
$383$	31.8187	+	15.3231i	1.62586	+	0.782974i	0.625866	+	0.779931i	$0.284746\pi$
$384$	−9.86636	+	5.53670i	−0.503490	+	0.282543i
$385$	−6.00008	+	2.17881i	−0.305792	+	0.111043i
$386$	10.3470	−	28.9109i	0.526648	−	1.47153i
$387$	3.14099	+	0.716910i	0.159665	+	0.0364426i
$388$	−0.877526	+	3.60812i	−0.0445496	+	0.183175i
$389$	6.02519	−	26.3981i	0.305489	−	1.33844i	−0.556220	−	0.831035i	$-0.687749\pi$
$389$	6.02519	−	26.3981i	0.305489	−	1.33844i	0.861710	−	0.507401i	$-0.169394\pi$
$390$	2.63385	+	0.315686i	0.133370	+	0.0159854i
$391$	19.8809			1.00542
$392$	19.6793	+	2.17379i	0.993954	+	0.109793i
$393$	1.71773			0.0866480
$394$	23.5147	+	2.81842i	1.18466	+	0.141990i
$395$	−5.41164	+	23.7099i	−0.272289	+	1.19298i
$396$	−0.801911	+	3.29721i	−0.0402975	+	0.165691i
$397$	−8.15913	−	1.86227i	−0.409495	−	0.0934646i	0.0128109	−	0.999918i	$-0.495922\pi$
$397$	−8.15913	−	1.86227i	−0.409495	−	0.0934646i	−0.422306	+	0.906453i	$0.638779\pi$
$398$	−10.6341	+	29.7133i	−0.533041	+	1.48939i
$399$	−20.1587	−	2.03227i	−1.00920	−	0.101741i
$400$	−7.15957	−	9.51944i	−0.357979	−	0.475972i
$401$	9.54743	+	4.59780i	0.476776	+	0.229603i	0.656808	−	0.754057i	$-0.271906\pi$
$401$	9.54743	+	4.59780i	0.476776	+	0.229603i	−0.180032	+	0.983661i	$0.557620\pi$
$402$	−12.6229	−	4.51762i	−0.629572	−	0.225319i
$403$	0.325243	+	0.675374i	0.0162015	+	0.0336428i
$404$	9.84319	+	4.91334i	0.489717	+	0.244448i
$405$	−0.616996	−	1.28121i	−0.0306588	−	0.0636637i
$406$	23.5888	−	18.9910i	1.17069	−	0.942510i
$407$	2.52992	−	5.25344i	0.125404	−	0.260403i
$408$	−0.638474	−	7.00194i	−0.0316092	−	0.346648i
$409$	−27.7882	+	22.1603i	−1.37404	+	1.09576i	−0.389414	+	0.921063i	$0.627323\pi$
$409$	−27.7882	+	22.1603i	−1.37404	+	1.09576i	−0.984623	+	0.174695i	$0.944106\pi$
$410$	1.49577	+	0.954713i	0.0738710	+	0.0471499i
$411$	−7.33998			−0.362054
$412$	−10.6267	+	21.2890i	−0.523538	+	1.04884i
$413$	−25.3794	+	9.21605i	−1.24884	+	0.453492i
$414$	−3.65983	−	10.7019i	−0.179871	−	0.525971i
$415$	2.88986	+	2.30459i	0.141858	+	0.113128i
$416$	1.09767	−	7.38054i	0.0538178	−	0.361861i
$417$	−6.42721	−	3.09518i	−0.314742	−	0.151572i
$418$	−5.94567	−	17.3861i	−0.290812	−	0.850383i
$419$	−12.9174	+	16.1979i	−0.631055	+	0.791319i	−0.989853	−	0.142097i	$-0.954616\pi$
$419$	−12.9174	+	16.1979i	−0.631055	+	0.791319i	0.358797	+	0.933416i	$0.383187\pi$
$420$	−6.36150	−	4.01898i	−0.310409	−	0.196106i
$421$	7.66711	+	9.61425i	0.373672	+	0.468570i	0.932739	−	0.360553i	$-0.117412\pi$
$421$	7.66711	+	9.61425i	0.373672	+	0.468570i	−0.559067	+	0.829123i	$0.688841\pi$
$422$	−0.227834	+	0.356954i	−0.0110908	+	0.0173762i
$423$	5.98023			0.290769
$424$	13.2802	−	7.95570i	0.644942	−	0.386363i
$425$	7.21677	−	1.64718i	0.350065	−	0.0799000i
$426$	18.0379	−	11.1564i	0.873938	−	0.540529i
$427$	−0.733906	−	0.716893i	−0.0355162	−	0.0346929i
$428$	2.53643	−	3.08969i	0.122603	−	0.149346i
$429$	−1.39537	−	1.74974i	−0.0673690	−	0.0844781i
$430$	−6.43311	−	0.771056i	−0.310232	−	0.0371836i
$431$	15.0667	−	3.43887i	0.725735	−	0.165644i	0.156334	−	0.987704i	$-0.450032\pi$
$431$	15.0667	−	3.43887i	0.725735	−	0.165644i	0.569401	+	0.822060i	$0.307175\pi$
$432$	−3.65163	+	1.63266i	−0.175689	+	0.0785516i
$433$	9.57062	+	2.18443i	0.459935	+	0.104977i	0.446209	−	0.894929i	$-0.352774\pi$
$433$	9.57062	+	2.18443i	0.459935	+	0.104977i	0.0137255	+	0.999906i	$0.495631\pi$
$434$	−0.00985953	−	2.12633i	−0.000473272	−	0.102067i
$435$	−11.2208	+	2.56108i	−0.537997	+	0.122794i
$436$	28.7025	−	6.12440i	1.37460	−	0.293305i
$437$	47.8835	+	38.1858i	2.29058	+	1.82667i
$438$	2.36789	+	2.40170i	0.113142	+	0.114758i
$439$	−9.73240	+	4.68688i	−0.464502	+	0.223692i	−0.651471	−	0.758673i	$-0.725848\pi$
$439$	−9.73240	+	4.68688i	−0.464502	+	0.223692i	0.186969	+	0.982366i	$0.440134\pi$
$440$	0.908091	−	6.76348i	0.0432915	−	0.322436i
$441$	6.85914	+	1.39719i	0.326626	+	0.0665329i
$442$	3.90879	+	2.49488i	0.185922	+	0.118669i
$443$	−1.02917	−	2.13710i	−0.0488974	−	0.101536i	0.875089	−	0.483963i	$-0.160803\pi$
$443$	−1.02917	−	2.13710i	−0.0488974	−	0.101536i	−0.923986	+	0.382426i	$0.875089\pi$
$444$	6.72203	−	1.43431i	0.319013	−	0.0680694i
$445$	10.5034	−	13.1709i	0.497910	−	0.624359i
$446$	9.74217	−	9.60503i	0.461305	−	0.454811i
$447$	−3.93618	−	17.2455i	−0.186175	−	0.815686i
$448$	−11.8077	+	17.5664i	−0.557860	+	0.829935i
$449$	−8.71287	+	38.1736i	−0.411186	+	1.80152i	0.167387	+	0.985891i	$0.446467\pi$
$449$	−8.71287	+	38.1736i	−0.411186	+	1.80152i	−0.578573	+	0.815631i	$0.696390\pi$
$450$	−2.21520	−	3.58159i	−0.104426	−	0.168838i
$451$	−0.333132	−	1.45955i	−0.0156866	−	0.0687273i
$452$	−11.1993	−	9.19389i	−0.526771	−	0.432444i
$453$	−9.57613	+	7.63671i	−0.449926	+	0.358804i
$454$	−38.6086	−	4.62753i	−1.81199	−	0.217181i
$455$	4.66472	−	1.69390i	0.218685	−	0.0794114i
$456$	11.9111	−	18.0906i	0.557787	−	0.847172i
$457$	−6.14990	−	26.9445i	−0.287680	−	1.26041i	−0.887699	−	0.460423i	$-0.847698\pi$
$457$	−6.14990	−	26.9445i	−0.287680	−	1.26041i	0.600019	−	0.799986i	$-0.295160\pi$
$458$	15.8976	−	1.67720i	0.742848	−	0.0783704i
$459$		−	2.48583i		−	0.116029i
$460$	9.57755	+	20.6312i	0.446556	+	0.961934i
$461$	24.1769	−	19.2804i	1.12603	−	0.897978i	0.130408	−	0.991460i	$-0.458371\pi$
$461$	24.1769	−	19.2804i	1.12603	−	0.897978i	0.995621	+	0.0934821i	$0.0297998\pi$
$462$	1.44132	+	6.18255i	0.0670563	+	0.287638i
$463$	31.3237	+	24.9799i	1.45574	+	1.16091i	0.955487	+	0.295032i	$0.0953302\pi$
$463$	31.3237	+	24.9799i	1.45574	+	1.16091i	0.500251	+	0.865881i	$0.333241\pi$
$464$	6.30627	+	31.7543i	0.292761	+	1.47416i
$465$	−0.350633	+	0.728097i	−0.0162602	+	0.0337647i
$466$	−5.65054	−	9.13591i	−0.261756	−	0.423213i
$467$	−6.83058	+	8.56528i	−0.316082	+	0.396354i	−0.914339	−	0.404951i	$-0.867289\pi$
$467$	−6.83058	+	8.56528i	−0.316082	+	0.396354i	0.598257	+	0.801304i	$0.295860\pi$
$468$	0.623440	−	2.56339i	0.0288185	−	0.118493i
$469$	−24.8897	+	3.10035i	−1.14930	+	0.143161i
$470$	−11.9602	+	1.26180i	−0.551683	+	0.0582025i
$471$			8.63322i			0.397798i
$472$	3.84109	−	28.6085i	0.176800	−	1.31681i
$473$	3.40815	+	4.27369i	0.156707	+	0.196504i
$474$	22.7715	+	8.14974i	1.04593	+	0.374330i
$475$	20.5455	+	9.89421i	0.942694	+	0.453978i
$476$	−6.97090	−	11.1547i	−0.319511	−	0.511277i
$477$	4.93127	−	2.37478i	0.225787	−	0.108734i
$478$	−19.1709	+	2.02253i	−0.876857	+	0.0925084i
$479$	−19.4023	+	9.34365i	−0.886513	+	0.426922i	−0.820999	−	0.570929i	$-0.806583\pi$
$479$	−19.4023	+	9.34365i	−0.886513	+	0.426922i	−0.0655140	+	0.997852i	$0.520869\pi$
$480$	6.95862	−	4.03574i	0.317616	−	0.184205i
$481$	−1.96687	+	4.08425i	−0.0896815	+	0.186226i
$482$	17.0716	+	17.3153i	0.777588	+	0.788691i
$483$	−15.1367	−	14.7858i	−0.688743	−	0.672778i
$484$	12.8413	−	9.94609i	0.583696	−	0.452095i
$485$	0.587503	−	2.57402i	0.0266771	−	0.116880i
$486$	−1.33813	+	0.457611i	−0.0606988	+	0.0207577i
$487$	−21.3137	−	4.86470i	−0.965814	−	0.220441i	−0.289601	−	0.957147i	$-0.593523\pi$
$487$	−21.3137	−	4.86470i	−0.965814	−	0.220441i	−0.676212	+	0.736707i	$0.736380\pi$
$488$	1.04270	−	0.340147i	0.0472007	−	0.0153977i
$489$			9.35450i			0.423025i
$490$	−14.0128	−	1.34708i	−0.633034	−	0.0608547i
$491$			12.1999i			0.550572i	0.961362	+	0.275286i	$0.0887725\pi$
$491$			12.1999i			0.550572i	−0.961362	+	0.275286i	$0.911228\pi$
$492$	1.11974	−	1.36399i	0.0504819	−	0.0614933i
$493$	−19.6149	−	4.47697i	−0.883411	−	0.201633i
$494$	4.62242	+	13.5167i	0.207972	+	0.608145i
$495$	0.536878	−	2.35222i	0.0241309	−	0.105724i
$496$	2.01926	+	1.04396i	0.0906676	+	0.0468750i
$497$	20.7150	−	33.8422i	0.929195	−	1.51803i
$498$	2.61765	−	2.58080i	0.117300	−	0.115648i
$499$	−9.56253	+	19.8568i	−0.428078	+	0.888913i	0.569673	+	0.821872i	$0.307070\pi$
$499$	−9.56253	+	19.8568i	−0.428078	+	0.888913i	−0.997750	+	0.0670407i	$0.978644\pi$
$500$	13.8937	+	17.9381i	0.621346	+	0.802216i
$501$	7.77071	−	3.74217i	0.347170	−	0.167188i
$502$	−0.399291	−	3.78475i	−0.0178212	−	0.168922i
$503$	4.16353	−	2.00505i	0.185643	−	0.0894008i	−0.338754	−	0.940875i	$-0.610005\pi$
$503$	4.16353	−	2.00505i	0.185643	−	0.0894008i	0.524396	+	0.851474i	$0.324291\pi$
$504$	−4.72138	+	5.80591i	−0.210307	+	0.258616i
$505$	−7.04749	−	3.39389i	−0.313609	−	0.151026i
$506$	6.46628	−	18.0677i	0.287461	−	0.803208i
$507$	−7.02055	−	8.80349i	−0.311793	−	0.390977i
$508$	16.1352	−	7.49037i	0.715882	−	0.332332i
$509$		−	9.07885i		−	0.402413i	−0.979549	−	0.201206i	$-0.935514\pi$
$509$		−	9.07885i		−	0.402413i	0.979549	−	0.201206i	$-0.0644862\pi$
$510$	0.524498	+	4.97155i	0.0232252	+	0.220144i
$511$	5.97969	+	2.01400i	0.264526	+	0.0890941i
$512$	−10.7925	−	19.8877i	−0.476967	−	0.878921i
$513$	4.77461	−	5.98717i	0.210804	−	0.264340i
$514$	22.7013	−	14.0407i	1.00131	−	0.619308i
$515$	7.34037	−	15.2424i	0.323455	−	0.671662i
$516$	−1.52273	+	6.26102i	−0.0670346	+	0.275626i
$517$	7.93281	+	6.32620i	0.348884	+	0.278226i
$518$	10.0162	−	8.06389i	0.440085	−	0.354307i
$519$	−15.7125	+	12.5303i	−0.689700	+	0.550018i
$520$	−0.705989	+	5.25822i	−0.0309596	+	0.230588i
$521$		−	41.3292i		−	1.81067i	−0.424701	−	0.905334i	$-0.639621\pi$
$521$		−	41.3292i		−	1.81067i	0.424701	−	0.905334i	$-0.360379\pi$
$522$	1.20090	+	11.3829i	0.0525619	+	0.498217i
$523$	−2.77781	−	12.1704i	−0.121465	−	0.532174i	−0.998646	−	0.0520144i	$-0.983436\pi$
$523$	−2.77781	−	12.1704i	−0.121465	−	0.532174i	0.877181	−	0.480160i	$-0.159421\pi$
$524$	−0.0487038	+	3.43511i	−0.00212763	+	0.150064i
$525$	−6.71968	−	4.11315i	−0.293271	−	0.179513i
$526$	−1.77851	+	14.8385i	−0.0775467	+	0.646991i
$527$	−1.10447	+	0.880787i	−0.0481116	+	0.0383677i
$528$	−6.57102	−	1.69715i	−0.285967	−	0.0738589i
$529$	9.11508	+	39.9358i	0.396308	+	1.73634i
$530$	−9.36127	+	5.78993i	−0.406628	+	0.251498i
$531$	2.27091	−	9.94952i	0.0985492	−	0.431772i
$532$	4.63570	−	40.2557i	0.200983	−	1.74530i
$533$	0.258991	+	1.13471i	0.0112181	+	0.0491499i
$534$	−11.7623	−	11.9302i	−0.509004	−	0.516271i
$535$	−1.77212	+	2.22216i	−0.0766153	+	0.0960725i
$536$	9.39224	−	25.1151i	0.405683	−	1.08481i
$537$	−0.810909	−	1.68387i	−0.0349933	−	0.0726643i
$538$	10.5967	−	16.6021i	0.456856	−	0.715769i
$539$	7.62066	+	9.10934i	0.328245	+	0.392367i
$540$	2.57965	−	1.19754i	0.111010	−	0.0515340i
$541$	9.32883	−	4.49253i	0.401078	−	0.193149i	−0.222461	−	0.974942i	$-0.571409\pi$
$541$	9.32883	−	4.49253i	0.401078	−	0.193149i	0.623538	+	0.781793i	$0.285695\pi$
$542$	32.7524	−	32.2913i	1.40684	−	1.38703i
$543$	−17.9834	−	14.3413i	−0.771741	−	0.615443i
$544$	14.0206	−	1.07829i	0.601127	−	0.0462313i
$545$	−20.3442	+	4.64343i	−0.871449	+	0.198903i
$546$	−1.12054	−	4.80658i	−0.0479548	−	0.205703i
$547$	2.91929	+	0.666309i	0.124820	+	0.0284893i	0.284474	−	0.958684i	$-0.408181\pi$
$547$	2.91929	+	0.666309i	0.124820	+	0.0284893i	−0.159655	+	0.987173i	$0.551038\pi$
$548$	0.208115	−	14.6785i	0.00889022	−	0.627034i
$549$	0.378047	−	0.0862867i	0.0161346	−	0.00368263i
$550$	0.850311	−	7.09435i	0.0362574	−	0.302504i
$551$	−38.6438	−	48.4578i	−1.64628	−	2.06437i
$552$	21.5055	−	7.01548i	0.915334	−	0.298599i
$553$	44.9008	−	5.59300i	1.90938	−	0.237839i
$554$	−16.6739	−	26.9587i	−0.708406	−	1.14537i
$555$	−4.76453	+	1.08747i	−0.202243	+	0.0461606i
$556$	6.37198	−	12.7654i	0.270232	−	0.541372i
$557$	4.40297			0.186560			0.0932799	−	0.995640i	$-0.470265\pi$
$557$	4.40297			0.186560			0.0932799	+	0.995640i	$0.470265\pi$
$558$	0.677451	+	0.432399i	0.0286788	+	0.0183049i
$559$	−2.64964	−	3.32255i	−0.112068	−	0.140529i
$560$	8.21753	−	12.6078i	0.347254	−	0.532775i
$561$	2.62964	−	3.29746i	0.111023	−	0.139219i
$562$	11.8175	−	4.04132i	0.498491	−	0.170473i
$563$	−25.8010	−	12.4251i	−1.08738	−	0.523656i	−0.197714	−	0.980260i	$-0.563352\pi$
$563$	−25.8010	−	12.4251i	−1.08738	−	0.523656i	−0.889670	+	0.456603i	$0.849066\pi$
$564$	−0.169561	+	11.9593i	−0.00713981	+	0.503576i
$565$	8.05476	+	6.42345i	0.338866	+	0.270237i
$566$	17.2877	−	5.91203i	0.726658	−	0.248501i
$567$	−1.84876	+	1.89264i	−0.0776408	+	0.0794832i
$568$	21.7991	+	36.3885i	0.914670	+	1.52683i
$569$	−11.6071			−0.486596			−0.243298	−	0.969952i	$-0.578229\pi$
$569$	−11.6071			−0.486596			−0.243298	+	0.969952i	$0.578229\pi$
$570$	−8.28575	+	12.9815i	−0.347052	+	0.543736i
$571$	−26.5225	+	21.1510i	−1.10993	+	0.885141i	−0.994137	−	0.108132i	$-0.965513\pi$
$571$	−26.5225	+	21.1510i	−1.10993	+	0.885141i	−0.115796	+	0.993273i	$0.536942\pi$
$572$	3.53869	−	2.74085i	0.147960	−	0.114601i
$573$	4.52932	−	9.40523i	0.189215	−	0.392909i
$574$	0.719724	−	3.22211i	0.0300407	−	0.134488i
$575$	10.3332	+	21.4572i	0.430926	+	0.894827i
$576$	−3.16146	−	7.34882i	−0.131728	−	0.306201i
$577$	7.65840	+	15.9028i	0.318823	+	0.662044i	0.997367	−	0.0725163i	$-0.0231029\pi$
$577$	7.65840	+	15.9028i	0.318823	+	0.662044i	−0.678544	+	0.734560i	$0.737389\pi$
$578$	5.15643	−	14.4078i	0.214479	−	0.599285i
$579$	19.5627	+	9.42089i	0.812997	+	0.391519i
$580$	−4.80349	−	22.5120i	−0.199454	−	0.934759i
$581$	2.19509	−	6.51735i	0.0910676	−	0.270385i
$582$	−2.47214	−	0.884759i	−0.102474	−	0.0366745i
$583$	9.05352	+	2.06641i	0.374958	+	0.0855818i
$584$	−4.87006	+	4.66721i	−0.201525	+	0.193131i
$585$	−0.417392	+	1.82871i	−0.0172570	+	0.0756080i
$586$	3.42568	−	28.5813i	0.141513	−	1.18068i
$587$	−25.9925			−1.07282			−0.536412	−	0.843956i	$-0.680221\pi$
$587$	−25.9925			−1.07282			−0.536412	+	0.843956i	$0.680221\pi$
$588$	−2.98858	+	13.6773i	−0.123247	+	0.564042i
$589$	−4.35190			−0.179317
$590$	−2.44243	+	20.3778i	−0.100553	+	0.838940i
$591$	−3.72643	+	16.3266i	−0.153285	+	0.671586i
$592$	2.67774	+	13.4834i	0.110054	+	0.554163i
$593$	−26.4267	−	6.03173i	−1.08522	−	0.247694i	−0.357737	−	0.933823i	$-0.616451\pi$
$593$	−26.4267	−	6.03173i	−1.08522	−	0.247694i	−0.727480	+	0.686129i	$0.759309\pi$
$594$	−2.25912	−	0.808520i	−0.0926929	−	0.0331740i
$595$	5.06836	+	7.86014i	0.207783	+	0.322234i
$596$	34.5992	−	7.38260i	1.41724	−	0.302403i
$597$	−20.1056	−	9.68233i	−0.822866	−	0.396271i
$598$	−5.02716	+	14.0466i	−0.205576	+	0.574409i
$599$	−11.1590	−	23.1720i	−0.455946	−	0.946781i	−0.994554	−	0.104224i	$-0.966764\pi$
$599$	−11.1590	−	23.1720i	−0.455946	−	0.946781i	0.538608	−	0.842556i	$-0.318950\pi$
$600$	7.22526	−	4.32841i	0.294970	−	0.176707i
$601$	15.9723	+	33.1669i	0.651526	+	1.35291i	0.920873	+	0.389864i	$0.127478\pi$
$601$	15.9723	+	33.1669i	0.651526	+	1.35291i	−0.269347	+	0.963043i	$0.586808\pi$
$602$	2.73690	+	11.7399i	0.111548	+	0.478484i
$603$	4.11328	−	8.54131i	0.167506	−	0.347829i
$604$	−15.0004	−	19.3669i	−0.610356	−	0.788026i
$605$	−9.02921	+	7.20056i	−0.367090	+	0.292744i
$606$	−4.18533	+	6.55726i	−0.170017	+	0.266371i
$607$	40.4498			1.64181			0.820904	−	0.571066i	$-0.193470\pi$
$607$	40.4498			1.64181			0.820904	+	0.571066i	$0.193470\pi$
$608$	35.8399	+	24.3327i	1.45350	+	0.986820i
$609$	11.6046	+	17.9967i	0.470241	+	0.729261i
$610$	−0.737871	+	0.252336i	−0.0298755	+	0.0102168i
$611$	−6.16730	−	4.91826i	−0.249502	−	0.198971i
$612$	4.97116	+	0.0704822i	0.200947	+	0.00284907i
$613$	−26.7823	−	12.8977i	−1.08173	−	0.520932i	−0.193859	−	0.981029i	$-0.562100\pi$
$613$	−26.7823	−	12.8977i	−1.08173	−	0.520932i	−0.887869	+	0.460097i	$0.847815\pi$
$614$	8.39144	−	2.86969i	0.338651	−	0.115811i
$615$	−0.782326	+	0.981006i	−0.0315464	+	0.0395580i
$616$	−12.4047	+	2.70705i	−0.499801	+	0.109070i
$617$	−18.3080	−	22.9574i	−0.737050	−	0.924232i	0.262117	−	0.965036i	$-0.415579\pi$
$617$	−18.3080	−	22.9574i	−0.737050	−	0.924232i	−0.999167	+	0.0408041i	$0.987008\pi$
$618$	−14.1822	−	9.05210i	−0.570490	−	0.364129i
$619$	−42.9810			−1.72755			−0.863777	−	0.503875i	$-0.831907\pi$
$619$	−42.9810			−1.72755			−0.863777	+	0.503875i	$0.831907\pi$
$620$	−1.44611	−	0.721840i	−0.0580770	−	0.0289898i
$621$	7.79716	−	1.77965i	0.312889	−	0.0714149i
$622$	−14.2550	−	23.0478i	−0.571574	−	0.924132i
$623$	−29.7035	−	10.0044i	−1.19005	−	0.400816i
$624$	5.10859	+	1.31944i	0.204507	+	0.0528197i
$625$	−0.775262	−	0.972148i	−0.0310105	−	0.0388859i
$626$	−3.53646	+	29.5056i	−0.141345	+	1.17928i
$627$	12.6671	−	2.89118i	0.505875	−	0.115463i
$628$	−17.2647	−	0.244783i	−0.688936	−	0.00976789i
$629$	−8.32879	−	1.90099i	−0.332091	−	0.0757975i
$630$	3.29811	−	4.17527i	0.131400	−	0.166347i
$631$	14.1708	−	3.23440i	0.564132	−	0.128759i	0.0690617	−	0.997612i	$-0.477999\pi$
$631$	14.1708	−	3.23440i	0.564132	−	0.128759i	0.495070	+	0.868853i	$0.335142\pi$
$632$	−16.9435	+	45.3074i	−0.673976	+	1.80223i
$633$	−0.234109	−	0.186696i	−0.00930500	−	0.00742049i
$634$	4.66316	−	4.59751i	0.185198	−	0.182591i
$635$	−11.3957	+	5.48788i	−0.452224	+	0.217780i
$636$	4.60926	+	9.92889i	0.182769	+	0.393706i
$637$	−5.92463	−	7.08199i	−0.234742	−	0.280599i
$638$	−10.4485	+	16.3699i	−0.413658	+	0.648090i
$639$	6.50703	+	13.5120i	0.257414	+	0.534526i
$640$	7.87336	+	14.0303i	0.311222	+	0.554595i
$641$	4.12633	−	5.17426i	0.162980	−	0.204371i	−0.693635	−	0.720327i	$-0.743992\pi$
$641$	4.12633	−	5.17426i	0.162980	−	0.204371i	0.856615	+	0.515956i	$0.172563\pi$
$642$	1.98451	+	2.01285i	0.0783223	+	0.0794407i
$643$	8.83827	+	38.7230i	0.348547	+	1.52709i	0.780481	+	0.625180i	$0.214974\pi$
$643$	8.83827	+	38.7230i	0.348547	+	1.52709i	−0.431934	+	0.901905i	$0.642169\pi$
$644$	29.9978	−	29.8511i	1.18208	−	1.17630i
$645$	1.01947	−	4.46658i	0.0401415	−	0.175872i
$646$	−22.8958	+	14.1610i	−0.900824	+	0.557158i
$647$	1.24669	+	5.46209i	0.0490123	+	0.214737i	0.993504	−	0.113799i	$-0.0363020\pi$
$647$	1.24669	+	5.46209i	0.0490123	+	0.214737i	−0.944492	+	0.328536i	$0.893445\pi$
$648$	−0.877190	−	2.68897i	−0.0344593	−	0.105633i
$649$	13.5375	−	10.7958i	0.531393	−	0.423772i
$650$	−0.661068	+	5.51545i	−0.0259292	+	0.216334i
$651$	1.49597	+	0.150815i	0.0586318	+	0.00591089i
$652$	−18.7071	−	0.265234i	−0.732628	−	0.0103874i
$653$	−3.08923	−	13.5348i	−0.120891	−	0.529658i	−0.998715	−	0.0506753i	$-0.983863\pi$
$653$	−3.08923	−	13.5348i	−0.120891	−	0.529658i	0.877824	−	0.478983i	$-0.158995\pi$
$654$	2.17732	+	20.6381i	0.0851399	+	0.807014i
$655$		−	2.44266i		−	0.0954428i
$656$	2.69595	+	2.27794i	0.105259	+	0.0889384i
$657$	−1.86456	+	1.48693i	−0.0727433	+	0.0580108i
$658$	9.80195	+	20.1148i	0.382120	+	0.784158i
$659$	27.5847	+	21.9981i	1.07455	+	0.856923i	0.990220	−	0.139515i	$-0.0445545\pi$
$659$	27.5847	+	21.9981i	1.07455	+	0.856923i	0.0843273	+	0.996438i	$0.473126\pi$
$660$	4.68874	+	1.14034i	0.182509	+	0.0443878i
$661$	−14.1894	+	29.4646i	−0.551904	+	1.14604i	0.419313	+	0.907842i	$0.362271\pi$
$661$	−14.1894	+	29.4646i	−0.551904	+	1.14604i	−0.971217	+	0.238198i	$0.923443\pi$
$662$	−16.1758	+	10.0047i	−0.628690	+	0.388844i
$663$	−2.04439	+	2.56359i	−0.0793977	+	0.0995616i
$664$	5.08686	+	5.30795i	0.197409	+	0.205989i
$665$	−2.88995	+	28.6663i	−0.112068	+	1.11163i
$666$	0.509920	+	4.83337i	0.0197590	+	0.187289i
$667$		−	64.7301i		−	2.50636i
$668$	7.26327	+	15.6460i	0.281024	+	0.605360i
$669$	6.03154	+	7.56332i	0.233193	+	0.292415i
$670$	−6.42420	+	17.9501i	−0.248189	+	0.693474i
$671$	0.592760	+	0.285458i	0.0228832	+	0.0110200i
$672$	−11.4768	−	9.60642i	−0.442727	−	0.370576i
$673$	5.59689	−	2.69532i	0.215744	−	0.103897i	−0.322891	−	0.946436i	$-0.604655\pi$
$673$	5.59689	−	2.69532i	0.215744	−	0.103897i	0.538635	+	0.842539i	$0.318940\pi$
$674$	2.48935	+	23.5958i	0.0958863	+	0.908875i
$675$	2.68293	−	1.29203i	0.103266	−	0.0497303i
$676$	17.8043	−	13.7901i	0.684779	−	0.530387i
$677$	2.55976	−	5.31541i	0.0983798	−	0.204288i	−0.845970	−	0.533230i	$-0.820978\pi$
$677$	2.55976	−	5.31541i	0.0983798	−	0.204288i	0.944350	+	0.328943i	$0.106692\pi$
$678$	7.29603	−	7.19332i	0.280202	−	0.276258i
$679$	−4.87456	+	0.607192i	−0.187068	+	0.0233019i
$680$	−9.95698	+	0.907930i	−0.381833	+	0.0348175i
$681$	6.11839	−	26.8064i	0.234457	−	1.02722i
$682$	0.441228	+	1.29022i	0.0168955	+	0.0494051i
$683$	13.1159	+	2.99362i	0.501866	+	0.114548i	0.465957	−	0.884808i	$-0.345710\pi$
$683$	13.1159	+	2.99362i	0.501866	+	0.114548i	0.0359089	+	0.999355i	$0.488567\pi$
$684$	11.8378	+	9.71802i	0.452628	+	0.371578i
$685$			10.4377i			0.398803i
$686$	6.54301	+	25.3612i	0.249813	+	0.968294i
$687$			11.3037i			0.431263i
$688$	−12.4776	−	3.22268i	−0.475704	−	0.122864i
$689$	−7.03859	−	1.60651i	−0.268149	−	0.0612033i
$690$	−15.2185	+	5.20439i	−0.579358	+	0.198128i
$691$	−7.60625	+	33.3252i	−0.289356	+	1.26775i	0.596056	+	0.802943i	$0.296733\pi$
$691$	−7.60625	+	33.3252i	−0.289356	+	1.26775i	−0.885412	+	0.464807i	$0.846124\pi$
$692$	−24.6125	−	31.7770i	−0.935627	−	1.20798i
$693$	−4.45452	+	0.554871i	−0.169213	+	0.0210778i
$694$	−7.11152	−	7.21307i	−0.269950	−	0.273804i
$695$	−4.40145	+	9.13970i	−0.166956	+	0.346689i
$696$	−22.7976	+	2.07881i	−0.864141	+	0.0787970i
$697$	−1.97620	+	0.951687i	−0.0748538	+	0.0360477i
$698$	−5.77502	+	0.609264i	−0.218588	+	0.0230610i
$699$	6.84361	−	3.29571i	0.258849	−	0.124655i
$700$	8.41601	−	13.3214i	0.318095	−	0.503501i
$701$	30.5934	+	14.7330i	1.15550	+	0.556458i	0.910681	−	0.413111i	$-0.135558\pi$
$701$	30.5934	+	14.7330i	1.15550	+	0.556458i	0.244817	+	0.969569i	$0.421272\pi$
$702$	1.75634	+	0.628578i	0.0662887	+	0.0237242i
$703$	−16.4088	−	20.5759i	−0.618869	−	0.776037i
$704$	3.58027	−	13.0926i	0.134936	−	0.493446i
$705$		−	8.50408i		−	0.320282i
$706$	15.0538	−	1.58817i	0.566557	−	0.0597717i
$707$	−1.45978	+	14.4800i	−0.0549008	+	0.544576i
$708$	19.8327	+	4.82347i	0.745357	+	0.181277i
$709$	−19.4725	+	24.4178i	−0.731306	+	0.917029i	−0.998918	−	0.0464979i	$-0.985194\pi$
$709$	−19.4725	+	24.4178i	−0.731306	+	0.917029i	0.267612	+	0.963527i	$0.413765\pi$
$710$	−15.8647	−	25.6504i	−0.595393	−	0.962644i
$711$	−7.42030	+	15.4084i	−0.278283	+	0.577861i
$712$	24.1916	−	23.1839i	0.906617	−	0.868854i
$713$	−3.55343	−	2.83376i	−0.133077	−	0.106125i
$714$	8.36122	−	4.07442i	0.312911	−	0.152481i
$715$	−2.48818	+	1.98426i	−0.0930527	+	0.0742071i
$716$	3.39039	−	1.57391i	0.126705	−	0.0588198i
$717$		−	13.6311i		−	0.509063i
$718$	17.3852	−	1.83414i	0.648811	−	0.0684495i
$719$	−3.92315	−	17.1885i	−0.146309	−	0.641021i	−0.993892	−	0.110358i	$-0.964800\pi$
$719$	−3.92315	−	17.1885i	−0.146309	−	0.641021i	0.847583	−	0.530663i	$-0.178057\pi$
$720$	2.32170	+	5.19273i	0.0865247	+	0.193522i
$721$	−31.3176	−	3.15724i	−1.16633	−	0.117582i
$722$	−55.6654	−	6.67192i	−2.07165	−	0.248303i
$723$	−13.4427	+	10.7202i	−0.499940	+	0.398689i
$724$	29.1895	−	35.5565i	1.08482	−	1.32145i
$725$	−5.36306	−	23.4971i	−0.199179	−	0.872660i
$726$	6.04146	+	9.76795i	0.224220	+	0.362523i
$727$	9.14201	−	40.0538i	0.339058	−	1.48551i	−0.461976	−	0.886893i	$-0.652859\pi$
$727$	9.14201	−	40.0538i	0.339058	−	1.48551i	0.801034	−	0.598619i	$-0.204284\pi$
$728$	9.64396	−	2.10458i	0.357429	−	0.0780009i
$729$	−0.222521	−	0.974928i	−0.00824152	−	0.0361084i
$730$	3.41530	−	3.36722i	0.126406	−	0.124626i
$731$	4.99338	−	6.26150i	0.184687	−	0.231590i
$732$	0.161837	+	0.758464i	0.00598167	+	0.0280336i
$733$	14.0440	+	29.1626i	0.518726	+	1.07715i	0.981640	+	0.190743i	$0.0610897\pi$
$733$	14.0440	+	29.1626i	0.518726	+	1.07715i	−0.462914	+	0.886403i	$0.653196\pi$
$734$	6.85915	+	4.37801i	0.253176	+	0.161595i
$735$	1.98685	−	9.75392i	0.0732861	−	0.359779i
$736$	13.4198	+	43.2055i	0.494660	+	1.59258i
$737$	14.4917	−	6.97885i	0.533810	−	0.257069i
$738$	0.876090	+	0.888600i	0.0322493	+	0.0327098i
$739$	−13.5331	−	10.7923i	−0.497821	−	0.396999i	0.342137	−	0.939650i	$-0.388849\pi$
$739$	−13.5331	−	10.7923i	−0.497821	−	0.396999i	−0.839958	+	0.542651i	$0.817421\pi$
$740$	−2.03964	−	9.55893i	−0.0749785	−	0.351393i
$741$	−9.84793	+	2.24773i	−0.361773	+	0.0825723i
$742$	16.0703	+	12.6942i	0.589960	+	0.466019i
$743$	−37.9342	−	8.65823i	−1.39167	−	0.317640i	−0.539977	−	0.841680i	$-0.681567\pi$
$743$	−37.9342	−	8.65823i	−1.39167	−	0.317640i	−0.851694	+	0.524040i	$0.824424\pi$
$744$	−0.883919	+	1.34251i	−0.0324060	+	0.0492186i
$745$	−24.5237	+	5.59738i	−0.898479	+	0.205072i
$746$	0.701523	+	0.0840827i	0.0256846	+	0.00307849i
$747$	1.62063	+	2.03221i	0.0592958	+	0.0743546i
$748$	6.51971	+	5.35225i	0.238384	+	0.195698i
$749$	5.01152	+	1.68792i	0.183117	+	0.0616751i
$750$	−13.6449	+	8.43934i	−0.498241	+	0.308161i
$751$	6.75387	−	1.54153i	0.246452	−	0.0562511i	−0.0975102	−	0.995235i	$-0.531088\pi$
$751$	6.75387	−	1.54153i	0.246452	−	0.0562511i	0.343962	+	0.938983i	$0.388231\pi$
$752$	−23.9113	−	0.678176i	−0.871956	−	0.0247305i
$753$	2.69108			0.0980682
$754$	8.12307	−	12.7266i	0.295825	−	0.463477i
$755$	10.8596	+	13.6176i	0.395223	+	0.495594i
$756$	−3.73247	−	3.75082i	−0.135749	−	0.136416i
$757$	−9.68453	+	12.1440i	−0.351990	+	0.441382i	−0.926032	−	0.377444i	$-0.876803\pi$
$757$	−9.68453	+	12.1440i	−0.351990	+	0.441382i	0.574042	+	0.818826i	$0.305375\pi$
$758$	4.51799	+	13.2114i	0.164101	+	0.479858i
$759$	12.2256	+	5.88753i	0.443760	+	0.213704i
$760$	−25.7255	−	16.9379i	−0.933161	−	0.614403i
$761$	4.90525	+	3.91180i	0.177815	+	0.141803i	0.708353	−	0.705858i	$-0.249439\pi$
$761$	4.90525	+	3.91180i	0.177815	+	0.141803i	−0.530538	+	0.847661i	$0.678010\pi$
$762$	4.07023	+	11.9020i	0.147449	+	0.431164i
$763$	21.0400	+	32.6293i	0.761699	+	1.18126i
$764$	18.6802	+	9.32440i	0.675824	+	0.337345i
$765$	−3.53493			−0.127806
$766$	−42.0998	−	26.8712i	−1.52113	−	0.970896i
$767$	−10.5246	+	8.39311i	−0.380022	+	0.303058i
$768$	14.7858	−	6.11393i	0.533537	−	0.220617i
$769$	−5.55559	+	11.5363i	−0.200340	+	0.416010i	−0.976799	−	0.214158i	$-0.931299\pi$
$769$	−5.55559	+	11.5363i	−0.200340	+	0.416010i	0.776459	+	0.630167i	$0.217014\pi$
$770$	8.79178	−	2.04960i	0.316834	−	0.0738626i
$771$	8.18931	+	17.0053i	0.294931	+	0.612430i
$772$	−19.3946	+	38.8543i	−0.698025	+	1.39840i
$773$	1.61731	+	3.35837i	0.0581704	+	0.120792i	0.928027	−	0.372512i	$-0.121503\pi$
$773$	1.61731	+	3.35837i	0.0581704	+	0.120792i	−0.869857	+	0.493304i	$0.835789\pi$
$774$	−4.28981	−	1.53529i	−0.154194	−	0.0551847i
$775$	−1.52468	−	0.734248i	−0.0547682	−	0.0263750i
$776$	1.83943	−	4.91870i	0.0660319	−	0.176571i
$777$	4.92748	+	7.64166i	0.176772	+	0.274143i
$778$	−12.9031	+	36.0532i	−0.462600	+	1.29257i
$779$	−6.58765	−	1.50359i	−0.236027	−	0.0538716i
$780$	−3.64523	−	0.886551i	−0.130520	−	0.0317436i
$781$	−5.66208	+	24.8072i	−0.202605	+	0.887671i
$782$	−27.9160	−	3.34594i	−0.998273	−	0.119650i
$783$	−8.09361			−0.289242
$784$	−27.2671	−	6.36437i	−0.973825	−	0.227299i
$785$	12.2767			0.438174
$786$	−2.41197	−	0.289093i	−0.0860322	−	0.0103116i
$787$	−4.56815	+	20.0144i	−0.162837	+	0.713436i	0.825905	+	0.563809i	$0.190664\pi$
$787$	−4.56815	+	20.0144i	−0.162837	+	0.713436i	−0.988742	+	0.149627i	$0.952193\pi$
$788$	−32.5442	−	7.91504i	−1.15934	−	0.281962i
$789$	−10.3026	−	2.35150i	−0.366782	−	0.0837155i
$790$	11.5892	−	32.3818i	0.412325	−	1.15209i
$791$	6.11825	−	18.1654i	0.217540	−	0.645889i
$792$	1.68093	−	4.49486i	0.0597293	−	0.159718i
$793$	−0.460837	−	0.221927i	−0.0163648	−	0.00788087i
$794$	11.1433	+	3.98811i	0.395462	+	0.141533i
$795$	−3.37701	−	7.01243i	−0.119770	−	0.248705i
$796$	19.9328	−	39.9326i	0.706498	−	1.41537i
$797$	19.8165	+	41.1494i	0.701937	+	1.45759i	0.880690	+	0.473693i	$0.157079\pi$
$797$	19.8165	+	41.1494i	0.701937	+	1.45759i	−0.178754	+	0.983894i	$0.557206\pi$
$798$	27.9640	+	6.24633i	0.989916	+	0.221118i
$799$	6.45004	−	13.3937i	0.228186	−	0.473833i
$800$	8.45109	+	14.5718i	0.298791	+	0.515191i
$801$	9.26201	−	7.38620i	0.327257	−	0.260979i
$802$	−12.6323	−	8.06289i	−0.446064	−	0.284711i
$803$	−4.04630			−0.142791
$804$	16.9643	+	8.46790i	0.598284	+	0.298640i
$805$	−21.0259	+	21.5248i	−0.741066	+	0.758651i
$806$	−0.343029	−	1.00307i	−0.0120827	−	0.0353318i
$807$	10.8885	+	8.68332i	0.383295	+	0.305667i
$808$	−12.9945	−	8.55573i	−0.457146	−	0.300990i
$809$	−40.8357	−	19.6655i	−1.43571	−	0.691401i	−0.455659	−	0.890155i	$-0.650596\pi$
$809$	−40.8357	−	19.6655i	−1.43571	−	0.691401i	−0.980049	+	0.198754i	$0.936310\pi$
$810$	0.650738	+	1.90286i	0.0228646	+	0.0668598i
$811$	19.1828	−	24.0545i	0.673599	−	0.844666i	−0.321148	−	0.947029i	$-0.604069\pi$
$811$	19.1828	−	24.0545i	0.673599	−	0.844666i	0.994747	+	0.102363i	$0.0326402\pi$
$812$	−36.3187	+	22.6966i	−1.27454	+	0.796493i
$813$	20.2776	+	25.4273i	0.711165	+	0.891773i
$814$	−4.43658	+	6.95090i	−0.155502	+	0.243629i
$815$	13.3024			0.465963
$816$	−0.281900	+	9.93932i	−0.00986848	+	0.347946i
$817$	24.0533	−	5.49001i	0.841519	−	0.192071i
$818$	42.7487	−	26.4400i	1.49467	−	0.924453i
$819$	3.46314	−	0.431381i	0.121012	−	0.0150737i
$820$	−1.93963	−	1.59231i	−0.0677349	−	0.0556059i
$821$	11.3893	+	14.2817i	0.397489	+	0.498435i	0.939792	−	0.341748i	$-0.111019\pi$
$821$	11.3893	+	14.2817i	0.397489	+	0.498435i	−0.542303	+	0.840183i	$0.682447\pi$
$822$	10.3065	+	1.23531i	0.359481	+	0.0430865i
$823$	−22.3127	+	5.09272i	−0.777771	+	0.177521i	−0.592937	−	0.805249i	$-0.702032\pi$
$823$	−22.3127	+	5.09272i	−0.777771	+	0.177521i	−0.184834	+	0.982770i	$0.559175\pi$
$824$	18.5045	−	28.1048i	0.644634	−	0.979078i
$825$	4.92569	+	1.12426i	0.171491	+	0.0391416i
$826$	37.1879	−	8.66951i	1.29393	−	0.301651i
$827$	9.69254	−	2.21226i	0.337043	−	0.0769278i	−0.0506501	−	0.998716i	$-0.516129\pi$
$827$	9.69254	−	2.21226i	0.337043	−	0.0769278i	0.387693	+	0.921789i	$0.373272\pi$
$828$	3.33787	+	15.6432i	0.115999	+	0.543639i
$829$	2.28954	+	1.82584i	0.0795189	+	0.0634142i	0.662443	−	0.749113i	$-0.269520\pi$
$829$	2.28954	+	1.82584i	0.0795189	+	0.0634142i	−0.582924	+	0.812527i	$0.698091\pi$
$830$	−3.66998	−	3.72238i	−0.127387	−	0.129206i
$831$	20.1945	−	9.72515i	0.700539	−	0.337362i
$832$	−2.78345	+	10.1788i	−0.0964988	+	0.352885i
$833$	10.5272	−	13.8552i	0.364747	−	0.480053i
$834$	8.50394	+	5.42784i	0.294467	+	0.187951i
$835$	−5.32149	−	11.0502i	−0.184158	−	0.382408i
$836$	5.42262	+	25.4136i	0.187545	+	0.878948i
$837$	−0.354323	+	0.444307i	−0.0122472	+	0.0153575i
$838$	20.8642	−	20.5705i	0.720742	−	0.710596i
$839$	−11.4679	−	50.2442i	−0.395916	−	1.73462i	−0.643217	−	0.765684i	$-0.722401\pi$
$839$	−11.4679	−	50.2442i	−0.395916	−	1.73462i	0.247301	−	0.968939i	$-0.420456\pi$
$840$	8.25619	+	6.71395i	0.284866	+	0.231653i
$841$	−8.12347	+	35.5912i	−0.280120	+	1.22728i
$842$	−9.14780	−	14.7903i	−0.315254	−	0.509709i
$843$	1.96516	+	8.60993i	0.0676837	+	0.296542i
$844$	0.379992	−	0.462877i	0.0130799	−	0.0159329i
$845$	−12.5188	+	9.98344i	−0.430661	+	0.343441i
$846$	−8.39722	−	1.00647i	−0.288702	−	0.0346031i
$847$	18.3264	+	11.2177i	0.629702	+	0.385444i
$848$	−19.9865	+	8.93607i	−0.686338	+	0.306866i
$849$	2.87482	+	12.5954i	0.0986636	+	0.432273i
$850$	−10.4108	+	1.09833i	−0.357086	+	0.0376725i
$851$		−	27.4854i		−	0.942187i
$852$	−27.2057	+	12.6296i	−0.932053	+	0.432684i
$853$	18.4218	−	14.6909i	0.630751	−	0.503007i	−0.255138	−	0.966905i	$-0.582121\pi$
$853$	18.4218	−	14.6909i	0.630751	−	0.503007i	0.885889	+	0.463898i	$0.153550\pi$
$854$	0.909871	+	1.13015i	0.0311351	+	0.0386730i
$855$	−8.51395	−	6.78965i	−0.291171	−	0.232201i
$856$	−4.08156	+	3.91155i	−0.139505	+	0.133694i
$857$	22.4740	−	46.6677i	0.767696	−	1.59414i	−0.0361827	−	0.999345i	$-0.511520\pi$
$857$	22.4740	−	46.6677i	0.767696	−	1.59414i	0.803879	−	0.594793i	$-0.202766\pi$
$858$	1.66485	+	2.69176i	0.0568369	+	0.0918951i
$859$	7.81950	−	9.80534i	0.266798	−	0.334554i	−0.630328	−	0.776329i	$-0.717080\pi$
$859$	7.81950	−	9.80534i	0.266798	−	0.334554i	0.897126	+	0.441775i	$0.145651\pi$
$860$	8.90337	+	2.16538i	0.303602	+	0.0738387i
$861$	2.21241	+	0.745155i	0.0753987	+	0.0253948i
$862$	−21.7348	+	2.29302i	−0.740291	+	0.0781006i
$863$			25.1374i			0.855689i	0.903852	+	0.427844i	$0.140727\pi$
$863$			25.1374i			0.855689i	−0.903852	+	0.427844i	$0.859273\pi$
$864$	5.40226	−	1.67796i	0.183789	−	0.0570854i
$865$	17.8184	+	22.3436i	0.605845	+	0.759706i
$866$	−13.0711	−	4.67803i	−0.444173	−	0.158966i
$867$	9.74907	+	4.69491i	0.331096	+	0.159447i
$868$	−0.344015	+	2.98737i	−0.0116766	+	0.101398i
$869$	−26.1429	+	12.5898i	−0.886837	+	0.427078i
$870$	16.1869	−	1.70771i	0.548787	−	0.0578969i
$871$	−11.2665	+	5.42565i	−0.381750	+	0.183841i
$872$	−41.3338	+	3.76904i	−1.39974	+	0.127636i
$873$	0.805570	−	1.67278i	0.0272644	−	0.0566151i
$874$	−60.8096	−	61.6778i	−2.05691	−	2.08628i
$875$	−15.6700	+	25.6002i	−0.529743	+	0.865444i
$876$	−2.92070	−	3.77090i	−0.0986814	−	0.127407i
$877$	5.83443	−	25.5623i	0.197015	−	0.863177i	−0.775687	−	0.631118i	$-0.782596\pi$
$877$	5.83443	−	25.5623i	0.197015	−	0.863177i	0.972702	−	0.232059i	$-0.0745464\pi$
$878$	14.4547	−	4.94318i	0.487822	−	0.166824i
$879$	19.8443	+	4.52934i	0.669332	+	0.152771i
$880$	−2.41340	+	9.34420i	−0.0813556	+	0.314993i
$881$			5.53417i			0.186451i	0.995645	+	0.0932255i	$0.0297178\pi$
$881$			5.53417i			0.186451i	−0.995645	+	0.0932255i	$0.970282\pi$
$882$	−9.39621	−	3.11628i	−0.316387	−	0.104930i
$883$		−	40.1968i		−	1.35273i	−0.736566	−	0.676365i	$-0.763554\pi$
$883$		−	40.1968i		−	1.35273i	0.736566	−	0.676365i	$-0.236446\pi$
$884$	−5.06870	−	4.16106i	−0.170479	−	0.139952i
$885$	−14.1485	−	3.22931i	−0.475598	−	0.108552i
$886$	1.08545	+	3.17404i	0.0364665	+	0.106634i
$887$	−1.23557	+	5.41339i	−0.0414864	+	0.181764i	−0.991426	−	0.130670i	$-0.958287\pi$
$887$	−1.23557	+	5.41339i	−0.0414864	+	0.181764i	0.949939	+	0.312434i	$0.101144\pi$
$888$	−9.68022	+	0.882694i	−0.324847	+	0.0296213i
$889$	16.8341	+	16.4438i	0.564596	+	0.551509i
$890$	−16.9652	+	16.7263i	−0.568674	+	0.560668i
$891$	0.736155	−	1.52864i	0.0246621	−	0.0512114i
$892$	−15.2961	+	11.8474i	−0.512152	+	0.396681i
$893$	41.2607	−	19.8701i	1.38074	−	0.664927i
$894$	2.62463	+	24.8780i	0.0877807	+	0.832045i
$895$	−2.39452	+	1.15314i	−0.0800398	+	0.0385451i
$896$	19.5363	−	22.6789i	0.652663	−	0.757649i
$897$	−9.50468	−	4.57721i	−0.317352	−	0.152829i
$898$	18.6589	−	52.1356i	0.622655	−	1.73979i
$899$	2.86776	+	3.59605i	0.0956450	+	0.119935i
$900$	2.50773	+	5.40195i	0.0835910	+	0.180065i
$901$		−	13.6057i		−	0.453271i
$902$	0.222131	+	2.10551i	0.00739614	+	0.0701057i
$903$	−8.45862	+	1.05364i	−0.281485	+	0.0350628i
$904$	14.1783	+	14.7946i	0.471564	+	0.492060i
$905$	−20.3937	+	25.5729i	−0.677911	+	0.850073i
$906$	14.7317	−	9.11153i	0.489428	−	0.302710i
$907$	−18.8336	+	39.1083i	−0.625358	+	1.29857i	0.311961	+	0.950095i	$0.399014\pi$
$907$	−18.8336	+	39.1083i	−0.625358	+	1.29857i	−0.937318	+	0.348474i	$0.886700\pi$
$908$	53.4340	+	12.9956i	1.77327	+	0.431274i
$909$	−4.30059	−	3.42961i	−0.142642	−	0.113753i
$910$	−6.83511	+	1.59345i	−0.226582	+	0.0528223i
$911$	−26.4612	+	21.1021i	−0.876698	+	0.699144i	−0.954623	−	0.297816i	$-0.903742\pi$
$911$	−26.4612	+	21.1021i	−0.876698	+	0.699144i	0.0779252	+	0.996959i	$0.475170\pi$
$912$	−19.7697	+	23.3976i	−0.654641	+	0.774772i
$913$			4.41012i			0.145954i
$914$	4.10073	+	38.8695i	0.135640	+	1.28569i
$915$	−0.122702	−	0.537595i	−0.00405642	−	0.0177723i
$916$	−22.6052	−	0.320501i	−0.746895	−	0.0105896i
$917$	−4.27176	+	1.55121i	−0.141066	+	0.0512254i
$918$	−0.418364	+	3.49051i	−0.0138081	+	0.115204i
$919$	−7.44531	+	5.93743i	−0.245598	+	0.195858i	−0.738550	−	0.674199i	$-0.764489\pi$
$919$	−7.44531	+	5.93743i	−0.245598	+	0.195858i	0.492952	+	0.870056i	$0.335918\pi$
$920$	−9.97623	−	30.5815i	−0.328907	−	1.00824i
$921$	1.39543	+	6.11379i	0.0459811	+	0.201456i
$922$	−37.1932	+	23.0039i	−1.22489	+	0.757593i
$923$	4.40194	−	19.2862i	0.144892	−	0.634812i
$924$	−0.983329	−	8.92389i	−0.0323492	−	0.293574i
$925$	−2.27724	−	9.97723i	−0.0748751	−	0.328049i
$926$	−39.7796	−	40.3476i	−1.30724	−	1.32590i
$927$	7.41762	−	9.30140i	0.243627	−	0.305498i
$928$	−3.51080	−	45.6496i	−0.115248	−	1.49852i
$929$	−0.890652	−	1.84946i	−0.0292213	−	0.0606787i	0.885847	−	0.463977i	$-0.153578\pi$
$929$	−0.890652	−	1.84946i	−0.0292213	−	0.0606787i	−0.915069	+	0.403298i	$0.867864\pi$
$930$	0.614885	−	0.963356i	0.0201629	−	0.0315897i
$931$	51.9671	−	13.1505i	1.70315	−	0.430989i
$932$	6.39672	+	13.7793i	0.209531	+	0.451356i
$933$	17.2649	−	8.31431i	0.565226	−	0.272198i
$934$	11.0328	−	10.8775i	0.361004	−	0.355922i
$935$	−4.68910	−	3.73943i	−0.153350	−	0.122292i
$936$	−1.30683	+	3.49450i	−0.0427150	+	0.114221i
$937$	−25.7896	+	5.88630i	−0.842508	+	0.192297i	−0.621930	−	0.783073i	$-0.713651\pi$
$937$	−25.7896	+	5.88630i	−0.842508	+	0.192297i	−0.220577	+	0.975369i	$0.570794\pi$
$938$	35.4710	−	0.164475i	1.15817	−	0.00537030i
$939$	−20.4861	−	4.67581i	−0.668538	−	0.152589i
$940$	17.0064	+	0.241121i	0.554689	+	0.00786450i
$941$	53.9895	−	12.3228i	1.76001	−	0.401711i	0.784230	−	0.620470i	$-0.213058\pi$
$941$	53.9895	−	12.3228i	1.76001	−	0.401711i	0.975779	+	0.218760i	$0.0702010\pi$
$942$	1.45297	−	12.1224i	0.0473402	−	0.394971i
$943$	−4.39990	−	5.51730i	−0.143280	−	0.179668i
$944$	−10.2083	+	39.5246i	−0.332252	+	1.28641i
$945$	2.69139	+	2.62900i	0.0875509	+	0.0855214i
$946$	−4.06634	−	6.57454i	−0.132208	−	0.213757i
$947$	−27.0233	+	6.16789i	−0.878139	+	0.200429i	−0.637746	−	0.770246i	$-0.720133\pi$
$947$	−27.0233	+	6.16789i	−0.878139	+	0.200429i	−0.240392	+	0.970676i	$0.577276\pi$
$948$	−30.6034	−	15.2760i	−0.993951	−	0.496141i
$949$	3.14577			0.102116
$950$	−27.1841	−	17.3509i	−0.881969	−	0.562937i
$951$	2.88704	+	3.62023i	0.0936187	+	0.117394i
$952$	7.91095	+	16.8363i	0.256395	+	0.545667i
$953$	3.92316	−	4.91948i	0.127084	−	0.159358i	−0.714219	−	0.699922i	$-0.753218\pi$
$953$	3.92316	−	4.91948i	0.127084	−	0.159358i	0.841302	+	0.540565i	$0.181789\pi$
$954$	−7.32399	+	2.50464i	−0.237123	+	0.0810908i
$955$	−13.3745	−	6.44084i	−0.432790	−	0.208421i
$956$	27.2595	+	0.386491i	0.881635	+	0.0125000i
$957$	−10.7362	−	8.56185i	−0.347053	−	0.276765i
$958$	28.8165	−	9.85462i	0.931019	−	0.318388i
$959$	18.2535	−	6.62842i	0.589437	−	0.214043i
$960$	−10.4503	+	4.49570i	−0.337280	+	0.145098i
$961$	−30.6770			−0.989582
$962$	3.44918	−	5.40393i	0.111206	−	0.174230i
$963$	−1.56267	+	1.24619i	−0.0503563	+	0.0401578i
$964$	−21.0571	−	27.1867i	−0.678204	−	0.875624i
$965$	13.3968	−	27.8187i	0.431258	−	0.895517i
$966$	18.7659	+	23.3092i	0.603784	+	0.749961i
$967$	9.16617	+	19.0338i	0.294764	+	0.612084i	0.994780	−	0.102043i	$-0.0325380\pi$
$967$	9.16617	+	19.0338i	0.294764	+	0.612084i	−0.700016	+	0.714127i	$0.746824\pi$
$968$	−19.7052	+	11.8047i	−0.633350	+	0.379419i
$969$	−8.25949	−	17.1510i	−0.265333	−	0.550970i
$970$	−1.25816	+	3.51547i	−0.0403969	+	0.112875i
$971$	3.61045	+	1.73870i	0.115865	+	0.0557975i	0.490918	−	0.871206i	$-0.336661\pi$
$971$	3.61045	+	1.73870i	0.115865	+	0.0557975i	−0.375054	+	0.927003i	$0.622376\pi$
$972$	1.95597	−	0.417354i	0.0627377	−	0.0133867i
$973$	18.7787	+	1.89315i	0.602018	+	0.0606917i
$974$	29.1091	+	10.4179i	0.932717	+	0.333811i
$975$	−3.82944	−	0.874046i	−0.122640	−	0.0279919i
$976$	−1.52136	+	0.302137i	−0.0486977	+	0.00967116i
$977$	7.45674	−	32.6701i	0.238562	−	1.04521i	−0.703743	−	0.710455i	$-0.748489\pi$
$977$	7.45674	−	32.6701i	0.238562	−	1.04521i	0.942305	−	0.334755i	$-0.108654\pi$
$978$	1.57436	−	13.1353i	0.0503424	−	0.420019i
$979$	20.0996			0.642386
$980$	19.4495	+	4.24986i	0.621293	+	0.135757i
$981$	−14.6743			−0.468515
$982$	2.05323	−	17.1306i	0.0655211	−	0.546659i
$983$	8.82248	−	38.6538i	0.281393	−	1.23286i	−0.614615	−	0.788827i	$-0.710689\pi$
$983$	8.82248	−	38.6538i	0.281393	−	1.23286i	0.896008	−	0.444038i	$-0.146454\pi$
$984$	−1.80186	+	1.72681i	−0.0574412	+	0.0550487i
$985$	23.2169	+	5.29911i	0.739752	+	0.168844i
$986$	26.7891	+	9.58758i	0.853137	+	0.305331i
$987$	−14.8720	+	5.40049i	−0.473382	+	0.171900i
$988$	−4.21578	−	19.7576i	−0.134122	−	0.628574i
$989$	23.2149	+	11.1797i	0.738192	+	0.355494i
$990$	−1.14974	+	3.21254i	−0.0365412	+	0.102101i
$991$	4.58830	+	9.52770i	0.145752	+	0.302657i	0.961045	−	0.276391i	$-0.0891385\pi$
$991$	4.58830	+	9.52770i	0.145752	+	0.302657i	−0.815293	+	0.579048i	$0.803424\pi$
$992$	−2.65968	−	1.80572i	−0.0844449	−	0.0573318i
$993$	−5.83530	−	12.1171i	−0.185178	−	0.384525i
$994$	−34.7829	+	44.0337i	−1.10325	+	1.39666i
$995$	−13.7686	+	28.5907i	−0.436493	+	0.906388i
$996$	−4.10996	+	3.18332i	−0.130229	+	0.100867i
$997$	−5.26926	+	4.20210i	−0.166879	+	0.133082i	−0.703369	−	0.710825i	$-0.748322\pi$
$997$	−5.26926	+	4.20210i	−0.166879	+	0.133082i	0.536489	+	0.843907i	$0.319750\pi$
$998$	16.7692	−	26.2728i	0.530821	−	0.831652i
$999$	−3.43667			−0.108732

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	588.2.x.b.223.1	yes	168
4.3	odd	2		588.2.x.a.223.9	✓	168
49.20	odd	14		588.2.x.a.559.9	yes	168
196.167	even	14	inner	588.2.x.b.559.1	yes	168

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
588.2.x.a.223.9	✓	168	4.3	odd	2
588.2.x.a.559.9	yes	168	49.20	odd	14
588.2.x.b.223.1	yes	168	1.1	even	1	trivial
588.2.x.b.559.1	yes	168	196.167	even	14	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:	\( N \)	\(=\)	\( 588 = 2^{2} \cdot 3 \cdot 7^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	588.x (of order \(14\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.40416 - 0.168299i) q^{2} +(0.222521 - 0.974928i) q^{3} +(1.94335 + 0.472640i) q^{4} +(-1.38638 - 0.316432i) q^{5} +(-0.476536 + 1.33151i) q^{6} +(0.327037 + 2.62546i) q^{7} +(-2.64924 - 0.990728i) q^{8} +(-0.900969 - 0.433884i) q^{9} +O(q^{10})\)	\(q+(-1.40416 - 0.168299i) q^{2} +(0.222521 - 0.974928i) q^{3} +(1.94335 + 0.472640i) q^{4} +(-1.38638 - 0.316432i) q^{5} +(-0.476536 + 1.33151i) q^{6} +(0.327037 + 2.62546i) q^{7} +(-2.64924 - 0.990728i) q^{8} +(-0.900969 - 0.433884i) q^{9} +(1.89345 + 0.677649i) q^{10} +(-0.736155 - 1.52864i) q^{11} +(0.893226 - 1.78945i) q^{12} +(0.572318 + 1.18843i) q^{13} +(-0.0173494 - 3.74162i) q^{14} +(-0.616996 + 1.28121i) q^{15} +(3.55322 + 1.83701i) q^{16} +(-1.94350 + 1.54989i) q^{17} +(1.19209 + 0.760876i) q^{18} -7.65788 q^{19} +(-2.54466 - 1.27020i) q^{20} +(2.63241 + 0.265383i) q^{21} +(0.776412 + 2.27036i) q^{22} +(-6.25283 - 4.98647i) q^{23} +(-1.55540 + 2.36236i) q^{24} +(-2.68293 - 1.29203i) q^{25} +(-0.603616 - 1.76507i) q^{26} +(-0.623490 + 0.781831i) q^{27} +(-0.605351 + 5.25676i) q^{28} +(5.04628 + 6.32784i) q^{29} +(1.08199 - 1.69518i) q^{30} +0.568290 q^{31} +(-4.68014 - 3.17747i) q^{32} +(-1.65412 + 0.377543i) q^{33} +(2.98984 - 1.84921i) q^{34} +(0.377383 - 3.74337i) q^{35} +(-1.54583 - 1.26902i) q^{36} +(2.14273 + 2.68690i) q^{37} +(10.7529 + 1.28882i) q^{38} +(1.28599 - 0.293518i) q^{39} +(3.35935 + 2.21183i) q^{40} +(0.860244 + 0.196345i) q^{41} +(-3.65167 - 0.815674i) q^{42} +(-3.14099 + 0.716910i) q^{43} +(-0.708110 - 3.31862i) q^{44} +(1.11179 + 0.886622i) q^{45} +(7.94078 + 8.05417i) q^{46} +(-5.38800 + 2.59473i) q^{47} +(2.58162 - 3.05536i) q^{48} +(-6.78609 + 1.71724i) q^{49} +(3.54982 + 2.26576i) q^{50} +(1.07856 + 2.23965i) q^{51} +(0.550515 + 2.58004i) q^{52} +(-3.41255 + 4.27920i) q^{53} +(1.00706 - 0.992886i) q^{54} +(0.536878 + 2.35222i) q^{55} +(1.73472 - 7.27947i) q^{56} +(-1.70404 + 7.46588i) q^{57} +(-6.02084 - 9.73461i) q^{58} +(2.27091 + 9.94952i) q^{59} +(-1.80459 + 2.19822i) q^{60} +(-0.303170 + 0.241770i) q^{61} +(-0.797973 - 0.0956430i) q^{62} +(0.844495 - 2.50735i) q^{63} +(6.03691 + 5.24935i) q^{64} +(-0.417392 - 1.82871i) q^{65} +(2.38620 - 0.251744i) q^{66} +9.48014i q^{67} +(-4.50944 + 2.09340i) q^{68} +(-6.25283 + 4.98647i) q^{69} +(-1.15991 + 5.19279i) q^{70} +(-11.7253 - 9.35058i) q^{71} +(1.95702 + 2.04208i) q^{72} +(1.03475 - 2.14868i) q^{73} +(-2.55654 - 4.13347i) q^{74} +(-1.85664 + 2.32816i) q^{75} +(-14.8819 - 3.61942i) q^{76} +(3.77264 - 2.43267i) q^{77} +(-1.85513 + 0.195717i) q^{78} -17.1021i q^{79} +(-4.34482 - 3.67114i) q^{80} +(0.623490 + 0.781831i) q^{81} +(-1.17488 - 0.420479i) q^{82} +(-2.34188 - 1.12779i) q^{83} +(4.99026 + 1.75991i) q^{84} +(3.18486 - 1.53375i) q^{85} +(4.53112 - 0.478032i) q^{86} +(7.29209 - 3.51169i) q^{87} +(0.435780 + 4.77906i) q^{88} +(-5.14003 + 10.6734i) q^{89} +(-1.41192 - 1.43208i) q^{90} +(-2.93301 + 1.89126i) q^{91} +(-9.79465 - 12.6458i) q^{92} +(0.126457 - 0.554042i) q^{93} +(8.00233 - 2.73662i) q^{94} +(10.6167 + 2.42320i) q^{95} +(-4.13923 + 3.85574i) q^{96} +1.85665i q^{97} +(9.81780 - 1.26920i) q^{98} +1.69666i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 168 q + 28 q^{3} - 2 q^{7} + 6 q^{8} - 28 q^{9}+O(q^{10}) \) 168 * q + 28 * q^3 - 2 * q^7 + 6 * q^8 - 28 * q^9	\( 168 q + 28 q^{3} - 2 q^{7} + 6 q^{8} - 28 q^{9} - 20 q^{10} + 14 q^{14} - 20 q^{16} - 12 q^{19} + 25 q^{20} + 2 q^{21} - 6 q^{22} - 27 q^{24} + 32 q^{25} - 6 q^{26} + 28 q^{27} + 6 q^{28} - 8 q^{30} + 4 q^{31} - 45 q^{32} - 44 q^{34} + 12 q^{35} - 10 q^{37} - 35 q^{38} - 14 q^{39} + 40 q^{40} + 7 q^{42} + 20 q^{44} + 28 q^{46} + 8 q^{47} - 8 q^{48} - 8 q^{49} + 114 q^{50} - 20 q^{52} - 8 q^{53} + 23 q^{56} + 12 q^{57} - 6 q^{58} - 20 q^{59} + 10 q^{60} - 14 q^{61} + 16 q^{62} + 12 q^{63} - 42 q^{64} - 8 q^{65} + 6 q^{66} + 16 q^{68} + 19 q^{70} - 28 q^{71} - 15 q^{72} + 22 q^{74} - 18 q^{75} - 49 q^{76} + 8 q^{77} + 6 q^{78} - 26 q^{80} - 28 q^{81} - 12 q^{82} - 10 q^{83} - 27 q^{84} - 24 q^{85} - 34 q^{86} + 94 q^{88} - 20 q^{90} + 16 q^{91} + 7 q^{92} - 4 q^{93} + 11 q^{94} + 10 q^{96} - 150 q^{98}+O(q^{100}) \) 168 * q + 28 * q^3 - 2 * q^7 + 6 * q^8 - 28 * q^9 - 20 * q^10 + 14 * q^14 - 20 * q^16 - 12 * q^19 + 25 * q^20 + 2 * q^21 - 6 * q^22 - 27 * q^24 + 32 * q^25 - 6 * q^26 + 28 * q^27 + 6 * q^28 - 8 * q^30 + 4 * q^31 - 45 * q^32 - 44 * q^34 + 12 * q^35 - 10 * q^37 - 35 * q^38 - 14 * q^39 + 40 * q^40 + 7 * q^42 + 20 * q^44 + 28 * q^46 + 8 * q^47 - 8 * q^48 - 8 * q^49 + 114 * q^50 - 20 * q^52 - 8 * q^53 + 23 * q^56 + 12 * q^57 - 6 * q^58 - 20 * q^59 + 10 * q^60 - 14 * q^61 + 16 * q^62 + 12 * q^63 - 42 * q^64 - 8 * q^65 + 6 * q^66 + 16 * q^68 + 19 * q^70 - 28 * q^71 - 15 * q^72 + 22 * q^74 - 18 * q^75 - 49 * q^76 + 8 * q^77 + 6 * q^78 - 26 * q^80 - 28 * q^81 - 12 * q^82 - 10 * q^83 - 27 * q^84 - 24 * q^85 - 34 * q^86 + 94 * q^88 - 20 * q^90 + 16 * q^91 + 7 * q^92 - 4 * q^93 + 11 * q^94 + 10 * q^96 - 150 * q^98

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