LMFDB - Embedded newform 525.2.bm.a.131.3

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [525,2,Mod(131,525)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(525, base_ring=CyclotomicField(30))

chi = DirichletCharacter(H, H._module([15, 12, 25]))

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

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

chi := DirichletCharacter("525.131");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 525 = 3 \cdot 5^{2} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	525.bm (of order $30$, degree $8$, 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:	$4.19214610612$
Analytic rank:	$0$
Dimension:	$608$
Relative dimension:	$76$ over $\Q(\zeta_{30})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label			131.3
Character	$\chi$	$=$	525.131
Dual form			525.2.bm.a.521.3

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.548566 + 2.58080i) q^{2} +(1.24592 - 1.20320i) q^{3} +(-4.53252 - 2.01801i) q^{4} +(-1.83369 + 1.27969i) q^{5} +(2.42176 + 3.87550i) q^{6} +(1.29192 - 2.30888i) q^{7} +(4.59278 - 6.32141i) q^{8} +(0.104613 - 2.99818i) q^{9} +O(q^{10})$	\(q+(-0.548566 + 2.58080i) q^{2} +(1.24592 - 1.20320i) q^{3} +(-4.53252 - 2.01801i) q^{4} +(-1.83369 + 1.27969i) q^{5} +(2.42176 + 3.87550i) q^{6} +(1.29192 - 2.30888i) q^{7} +(4.59278 - 6.32141i) q^{8} +(0.104613 - 2.99818i) q^{9} +(-2.29672 - 5.43437i) q^{10} +(0.677675 + 0.610182i) q^{11} +(-8.07521 + 2.93927i) q^{12} +(6.11287 + 1.98619i) q^{13} +(5.25007 + 4.60076i) q^{14} +(-0.744900 + 3.80067i) q^{15} +(7.15514 + 7.94659i) q^{16} +(-0.209818 + 1.99628i) q^{17} +(7.68031 + 1.91468i) q^{18} +(1.98926 + 4.46794i) q^{19} +(10.8936 - 2.09981i) q^{20} +(-1.16843 - 4.43111i) q^{21} +(-1.94651 + 1.41422i) q^{22} +(1.08278 - 5.09409i) q^{23} +(-1.88372 - 13.4020i) q^{24} +(1.72481 - 4.69308i) q^{25} +(-8.47928 + 14.6865i) q^{26} +(-3.47707 - 3.86134i) q^{27} +(-10.5150 + 7.85797i) q^{28} +(0.814861 + 1.12156i) q^{29} +(-9.40016 - 4.00736i) q^{30} +(4.53182 + 0.476314i) q^{31} +(-10.8999 + 6.29307i) q^{32} +(1.57850 - 0.0551450i) q^{33} +(-5.03691 - 1.63659i) q^{34} +(0.585675 + 5.88702i) q^{35} +(-6.52450 + 13.3782i) q^{36} +(4.18881 + 4.65215i) q^{37} +(-12.6221 + 2.68291i) q^{38} +(10.0059 - 4.88039i) q^{39} +(-0.332291 + 17.4688i) q^{40} +(0.856848 - 2.63711i) q^{41} +(12.0768 - 0.584736i) q^{42} -0.985777 q^{43} +(-1.84023 - 4.13322i) q^{44} +(3.64489 + 5.63158i) q^{45} +(12.5529 + 5.58889i) q^{46} +(-0.440317 - 4.18933i) q^{47} +(18.4761 + 1.29171i) q^{48} +(-3.66190 - 5.96578i) q^{49} +(11.1657 + 7.02586i) q^{50} +(2.14051 + 2.73965i) q^{51} +(-23.6986 - 21.3383i) q^{52} +(-2.32154 + 5.21426i) q^{53} +(11.8728 - 6.85543i) q^{54} +(-2.02348 - 0.251671i) q^{55} +(-8.66193 - 18.7709i) q^{56} +(7.85428 + 3.17320i) q^{57} +(-3.34153 + 1.48775i) q^{58} +(10.9944 - 2.33694i) q^{59} +(11.0461 - 15.7234i) q^{60} +(1.05298 - 4.95390i) q^{61} +(-3.71528 + 11.4345i) q^{62} +(-6.78729 - 4.11493i) q^{63} +(-3.65309 - 11.2430i) q^{64} +(-13.7508 + 4.18050i) q^{65} +(-0.723593 + 4.10404i) q^{66} +(-1.22455 + 11.6508i) q^{67} +(4.97952 - 8.62478i) q^{68} +(-4.78016 - 7.64961i) q^{69} +(-15.5145 - 1.71791i) q^{70} +(-3.14481 - 4.32846i) q^{71} +(-18.4722 - 14.4312i) q^{72} +(-10.2345 - 9.21516i) q^{73} +(-14.3041 + 8.25848i) q^{74} +(-3.49775 - 7.92248i) q^{75} -24.2654i q^{76} +(2.28434 - 0.776370i) q^{77} +(7.10640 + 28.5005i) q^{78} +(-0.152269 - 1.44874i) q^{79} +(-23.2894 - 5.41522i) q^{80} +(-8.97811 - 0.627293i) q^{81} +(6.33581 + 3.65798i) q^{82} +(10.3054 + 7.48729i) q^{83} +(-3.64608 + 22.4420i) q^{84} +(-2.16987 - 3.92906i) q^{85} +(0.540764 - 2.54410i) q^{86} +(2.36471 + 0.416928i) q^{87} +(6.96962 - 1.48144i) q^{88} +(-0.986410 - 0.209668i) q^{89} +(-16.5335 + 6.31745i) q^{90} +(12.4832 - 11.5479i) q^{91} +(-15.1876 + 20.9040i) q^{92} +(6.21937 - 4.85925i) q^{93} +(11.0534 + 1.16176i) q^{94} +(-9.36523 - 5.64718i) q^{95} +(-6.00855 + 20.9554i) q^{96} +(-2.19364 - 3.01929i) q^{97} +(17.4053 - 6.17801i) q^{98} +(1.90033 - 1.96796i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 608 q - 9 q^{3} - 78 q^{4} - 36 q^{7} - 3 q^{9}+O(q^{10}) $ 608 * q - 9 * q^3 - 78 * q^4 - 36 * q^7 - 3 * q^9	$ 608 q - 9 q^{3} - 78 q^{4} - 36 q^{7} - 3 q^{9} - 30 q^{10} + 3 q^{12} + 16 q^{15} + 50 q^{16} - 8 q^{18} - 18 q^{19} - 21 q^{21} - 24 q^{22} - 66 q^{24} - 10 q^{25} - 30 q^{28} - 7 q^{30} - 36 q^{31} + 36 q^{33} - 100 q^{36} - 14 q^{37} - 31 q^{39} - 30 q^{40} + 20 q^{42} - 96 q^{43} - 117 q^{45} + 42 q^{46} - 28 q^{49} - 8 q^{51} - 66 q^{52} + 3 q^{54} + 48 q^{57} - 38 q^{58} - 49 q^{60} - 18 q^{61} + 4 q^{63} - 32 q^{64} - 3 q^{66} - 22 q^{67} - 270 q^{70} + 45 q^{72} + 102 q^{73} + 135 q^{75} + 58 q^{78} - 34 q^{79} - 55 q^{81} + 108 q^{82} - 75 q^{84} - 96 q^{85} - 9 q^{87} + 36 q^{88} + 38 q^{91} - 22 q^{93} + 30 q^{94} - 81 q^{96} + 36 q^{99}+O(q^{100}) $ 608 * q - 9 * q^3 - 78 * q^4 - 36 * q^7 - 3 * q^9 - 30 * q^10 + 3 * q^12 + 16 * q^15 + 50 * q^16 - 8 * q^18 - 18 * q^19 - 21 * q^21 - 24 * q^22 - 66 * q^24 - 10 * q^25 - 30 * q^28 - 7 * q^30 - 36 * q^31 + 36 * q^33 - 100 * q^36 - 14 * q^37 - 31 * q^39 - 30 * q^40 + 20 * q^42 - 96 * q^43 - 117 * q^45 + 42 * q^46 - 28 * q^49 - 8 * q^51 - 66 * q^52 + 3 * q^54 + 48 * q^57 - 38 * q^58 - 49 * q^60 - 18 * q^61 + 4 * q^63 - 32 * q^64 - 3 * q^66 - 22 * q^67 - 270 * q^70 + 45 * q^72 + 102 * q^73 + 135 * q^75 + 58 * q^78 - 34 * q^79 - 55 * q^81 + 108 * q^82 - 75 * q^84 - 96 * q^85 - 9 * q^87 + 36 * q^88 + 38 * q^91 - 22 * q^93 + 30 * q^94 - 81 * q^96 + 36 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/525\mathbb{Z}\right)^\times$.

$n$	$127$	$176$	$451$
$\chi(n)$	$e\left(\frac{2}{5}\right)$	$-1$	$e\left(\frac{5}{6}\right)$

Coefficient data

For each $n$ we display the coefficients of the $q$-expansion $a_n$, the Satake parameters $\alpha_p$, and the Satake angles $\theta_p = \textrm{Arg}(\alpha_p)$.

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

$n$	$a_n$			$a_n / n^{(k-1)/2}$			$ \alpha_n $			$ \theta_n $
$p$	$a_p$			$a_p / p^{(k-1)/2}$			$ \alpha_p$			$ \theta_p $

$2$	−0.548566	+	2.58080i	−0.387895	+	1.82490i	0.158480	+	0.987362i	$0.449341\pi$
$2$	−0.548566	+	2.58080i	−0.387895	+	1.82490i	−0.546375	+	0.837540i	$0.683993\pi$
$3$	1.24592	−	1.20320i	0.719330	−	0.694669i
$3$	1.24592	−	1.20320i	0.719330	−	0.694669i
$4$	−4.53252	−	2.01801i	−2.26626	−	1.00900i
$5$	−1.83369	+	1.27969i	−0.820049	+	0.572293i
$5$	−1.83369	+	1.27969i	−0.820049	+	0.572293i
$6$	2.42176	+	3.87550i	0.988678	+	1.58217i
$7$	1.29192	−	2.30888i	0.488299	−	0.872676i
$7$	1.29192	−	2.30888i	0.488299	−	0.872676i
$8$	4.59278	−	6.32141i	1.62379	−	2.23496i
$9$	0.104613	−	2.99818i	0.0348708	−	0.999392i
$10$	−2.29672	−	5.43437i	−0.726285	−	1.71850i
$11$	0.677675	+	0.610182i	0.204327	+	0.183977i	0.764941	−	0.644101i	$-0.222768\pi$
$11$	0.677675	+	0.610182i	0.204327	+	0.183977i	−0.560614	+	0.828077i	$0.689435\pi$
$12$	−8.07521	+	2.93927i	−2.33111	+	0.848494i
$13$	6.11287	+	1.98619i	1.69540	+	0.550870i	0.987799	−	0.155737i	$-0.0497751\pi$
$13$	6.11287	+	1.98619i	1.69540	+	0.550870i	0.707606	+	0.706607i	$0.249775\pi$
$14$	5.25007	+	4.60076i	1.40314	+	1.22960i
$15$	−0.744900	+	3.80067i	−0.192332	+	0.981330i
$16$	7.15514	+	7.94659i	1.78879	+	1.98665i
$17$	−0.209818	+	1.99628i	−0.0508883	+	0.484170i	0.939164	+	0.343469i	$0.111602\pi$
$17$	−0.209818	+	1.99628i	−0.0508883	+	0.484170i	−0.990052	+	0.140700i	$0.955065\pi$
$18$	7.68031	+	1.91468i	1.81027	+	0.451295i
$19$	1.98926	+	4.46794i	0.456367	+	1.02502i	0.984424	+	0.175808i	$0.0562538\pi$
$19$	1.98926	+	4.46794i	0.456367	+	1.02502i	−0.528058	+	0.849208i	$0.677080\pi$
$20$	10.8936	−	2.09981i	2.43589	−	0.469531i
$21$	−1.16843	−	4.43111i	−0.254973	−	0.966948i
$22$	−1.94651	+	1.41422i	−0.414997	+	0.301513i
$23$	1.08278	−	5.09409i	0.225776	−	1.06219i	−0.708520	−	0.705691i	$-0.750637\pi$
$23$	1.08278	−	5.09409i	0.225776	−	1.06219i	0.934295	−	0.356500i	$-0.116030\pi$
$24$	−1.88372	−	13.4020i	−0.384513	−	2.73567i
$25$	1.72481	−	4.69308i	0.344962	−	0.938617i
$26$	−8.47928	+	14.6865i	−1.66292	+	2.88027i
$27$	−3.47707	−	3.86134i	−0.669163	−	0.743116i
$28$	−10.5150	+	7.85797i	−1.98715	+	1.48502i
$29$	0.814861	+	1.12156i	0.151316	+	0.208269i	0.877945	−	0.478761i	$-0.158914\pi$
$29$	0.814861	+	1.12156i	0.151316	+	0.208269i	−0.726629	+	0.687030i	$0.758914\pi$
$30$	−9.40016	−	4.00736i	−1.71623	−	0.731641i
$31$	4.53182	+	0.476314i	0.813940	+	0.0855485i	0.502346	−	0.864667i	$-0.332470\pi$
$31$	4.53182	+	0.476314i	0.813940	+	0.0855485i	0.311594	+	0.950215i	$0.399137\pi$
$32$	−10.8999	+	6.29307i	−1.92685	+	1.11247i
$33$	1.57850	−	0.0551450i	0.274781	−	0.00959952i
$34$	−5.03691	−	1.63659i	−0.863823	−	0.280673i
$35$	0.585675	+	5.88702i	0.0989971	+	0.995088i
$36$	−6.52450	+	13.3782i	−1.08742	+	2.22970i
$37$	4.18881	+	4.65215i	0.688636	+	0.764808i	0.981524	−	0.191339i	$-0.0612829\pi$
$37$	4.18881	+	4.65215i	0.688636	+	0.764808i	−0.292888	+	0.956147i	$0.594616\pi$
$38$	−12.6221	+	2.68291i	−2.04758	+	0.435226i
$39$	10.0059	−	4.88039i	1.60223	−	0.781487i
$40$	−0.332291	+	17.4688i	−0.0525398	+	2.76206i
$41$	0.856848	−	2.63711i	0.133817	−	0.411847i	−0.861587	−	0.507610i	$-0.830529\pi$
$41$	0.856848	−	2.63711i	0.133817	−	0.411847i	0.995404	+	0.0957630i	$0.0305291\pi$
$42$	12.0768	−	0.584736i	1.86349	−	0.0902266i
$43$	−0.985777			−0.150330			−0.0751648	−	0.997171i	$-0.523948\pi$
$43$	−0.985777			−0.150330			−0.0751648	+	0.997171i	$0.523948\pi$
$44$	−1.84023	−	4.13322i	−0.277425	−	0.623106i
$45$	3.64489	+	5.63158i	0.543349	+	0.839507i
$46$	12.5529	+	5.58889i	1.85082	+	0.824037i
$47$	−0.440317	−	4.18933i	−0.0642268	−	0.611077i	−0.978538	−	0.206065i	$-0.933934\pi$
$47$	−0.440317	−	4.18933i	−0.0642268	−	0.611077i	0.914311	−	0.405012i	$-0.132733\pi$
$48$	18.4761	+	1.29171i	2.66679	+	0.186442i
$49$	−3.66190	−	5.96578i	−0.523128	−	0.852254i
$50$	11.1657	+	7.02586i	1.57907	+	0.993607i
$51$	2.14051	+	2.73965i	0.299732	+	0.383628i
$52$	−23.6986	−	21.3383i	−3.28640	−	2.95909i
$53$	−2.32154	+	5.21426i	−0.318888	+	0.716234i	−0.999871	−	0.0160652i	$-0.994886\pi$
$53$	−2.32154	+	5.21426i	−0.318888	+	0.716234i	0.680983	+	0.732299i	$0.261553\pi$
$54$	11.8728	−	6.85543i	1.61568	−	0.932905i
$55$	−2.02348	−	0.251671i	−0.272847	−	0.0339353i
$56$	−8.66193	−	18.7709i	−1.15750	−	2.50837i
$57$	7.85428	+	3.17320i	1.04032	+	0.420301i
$58$	−3.34153	+	1.48775i	−0.438764	+	0.195351i
$59$	10.9944	−	2.33694i	1.43135	−	0.304244i	0.573951	−	0.818890i	$-0.305410\pi$
$59$	10.9944	−	2.33694i	1.43135	−	0.304244i	0.857403	+	0.514646i	$0.172077\pi$
$60$	11.0461	−	15.7234i	1.42604	−	2.02989i
$61$	1.05298	−	4.95390i	0.134821	−	0.634282i	−0.857897	−	0.513821i	$-0.828229\pi$
$61$	1.05298	−	4.95390i	0.134821	−	0.634282i	0.992718	−	0.120461i	$-0.0384372\pi$
$62$	−3.71528	+	11.4345i	−0.471841	+	1.45218i
$63$	−6.78729	−	4.11493i	−0.855118	−	0.518433i
$64$	−3.65309	−	11.2430i	−0.456636	−	1.40538i
$65$	−13.7508	+	4.18050i	−1.70557	+	0.518527i
$66$	−0.723593	+	4.10404i	−0.0890681	+	0.505173i
$67$	−1.22455	+	11.6508i	−0.149602	+	1.42337i	0.619878	+	0.784698i	$0.287182\pi$
$67$	−1.22455	+	11.6508i	−0.149602	+	1.42337i	−0.769480	+	0.638671i	$0.779485\pi$
$68$	4.97952	−	8.62478i	0.603855	−	1.04591i
$69$	−4.78016	−	7.64961i	−0.575463	−	0.920905i
$70$	−15.5145	−	1.71791i	−1.85434	−	0.205330i
$71$	−3.14481	−	4.32846i	−0.373220	−	0.513693i	0.580553	−	0.814223i	$-0.302837\pi$
$71$	−3.14481	−	4.32846i	−0.373220	−	0.513693i	−0.953772	+	0.300530i	$0.902837\pi$
$72$	−18.4722	−	14.4312i	−2.17698	−	1.70074i
$73$	−10.2345	−	9.21516i	−1.19785	−	1.07855i	−0.995054	−	0.0993332i	$-0.968329\pi$
$73$	−10.2345	−	9.21516i	−1.19785	−	1.07855i	−0.202801	−	0.979220i	$-0.565004\pi$
$74$	−14.3041	+	8.25848i	−1.66282	+	0.960029i
$75$	−3.49775	−	7.92248i	−0.403886	−	0.914809i
$76$		−	24.2654i		−	2.78343i
$77$	2.28434	−	0.776370i	0.260325	−	0.0884756i
$78$	7.10640	+	28.5005i	0.804642	+	3.22704i
$79$	−0.152269	−	1.44874i	−0.0171316	−	0.162996i	0.982611	−	0.185675i	$-0.0594472\pi$
$79$	−0.152269	−	1.44874i	−0.0171316	−	0.162996i	−0.999743	+	0.0226788i	$0.992781\pi$
$80$	−23.2894	−	5.41522i	−2.60384	−	0.605441i
$81$	−8.97811	−	0.627293i	−0.997568	−	0.0696993i
$82$	6.33581	+	3.65798i	0.699674	+	0.403957i
$83$	10.3054	+	7.48729i	1.13116	+	0.821837i	0.985863	−	0.167551i	$-0.0535859\pi$
$83$	10.3054	+	7.48729i	1.13116	+	0.821837i	0.145298	+	0.989388i	$0.453586\pi$
$84$	−3.64608	+	22.4420i	−0.397819	+	2.44863i
$85$	−2.16987	−	3.92906i	−0.235356	−	0.426166i
$86$	0.540764	−	2.54410i	0.0583121	−	0.274337i
$87$	2.36471	+	0.416928i	0.253524	+	0.0446993i
$88$	6.96962	−	1.48144i	0.742964	−	0.157922i
$89$	−0.986410	−	0.209668i	−0.104559	−	0.0222248i	0.155335	−	0.987862i	$-0.450354\pi$
$89$	−0.986410	−	0.209668i	−0.104559	−	0.0222248i	−0.259894	+	0.965637i	$0.583688\pi$
$90$	−16.5335	+	6.31745i	−1.74278	+	0.665918i
$91$	12.4832	−	11.5479i	1.30860	−	1.21055i
$92$	−15.1876	+	20.9040i	−1.58342	+	2.17939i
$93$	6.21937	−	4.85925i	0.644919	−	0.503881i
$94$	11.0534	+	1.16176i	1.14007	+	0.119826i
$95$	−9.36523	−	5.64718i	−0.960853	−	0.579389i
$96$	−6.00855	+	20.9554i	−0.613245	+	2.13876i
$97$	−2.19364	−	3.01929i	−0.222730	−	0.306562i	0.682998	−	0.730420i	$-0.260676\pi$
$97$	−2.19364	−	3.01929i	−0.222730	−	0.306562i	−0.905729	+	0.423858i	$0.860676\pi$
$98$	17.4053	−	6.17801i	1.75820	−	0.624073i
$99$	1.90033	−	1.96796i	0.190990	−	0.197787i
$100$	−17.2884	+	17.7908i	−1.72884	+	1.77908i
$101$	−4.20281	−	7.27948i	−0.418195	−	0.724335i	0.577563	−	0.816346i	$-0.304004\pi$
$101$	−4.20281	−	7.27948i	−0.418195	−	0.724335i	−0.995758	+	0.0920112i	$0.970670\pi$
$102$	−8.24471	+	4.02136i	−0.816348	+	0.398174i
$103$	−5.27221	+	0.554131i	−0.519486	+	0.0546002i	−0.360643	−	0.932704i	$-0.617443\pi$
$103$	−5.27221	+	0.554131i	−0.519486	+	0.0546002i	−0.158842	+	0.987304i	$0.550776\pi$
$104$	40.6306	−	29.5198i	3.98416	−	2.89466i
$105$	7.81297	+	6.63004i	0.762468	+	0.647026i
$106$	−12.1835	−	8.85180i	−1.18336	−	0.859763i
$107$	−0.650702	−	0.375683i	−0.0629057	−	0.0363186i	0.468217	−	0.883613i	$-0.344896\pi$
$107$	−0.650702	−	0.375683i	−0.0629057	−	0.0363186i	−0.531123	+	0.847295i	$0.678230\pi$
$108$	7.96767	+	24.5184i	0.766690	+	2.35928i
$109$	−14.8115	+	3.14827i	−1.41868	+	0.301550i	−0.852498	−	0.522730i	$-0.824913\pi$
$109$	−14.8115	+	3.14827i	−1.41868	+	0.301550i	−0.566182	+	0.824280i	$0.691580\pi$
$110$	1.75953	−	5.08416i	0.167764	−	0.484755i
$111$	10.8164	+	0.756199i	1.02664	+	0.0717752i
$112$	27.5916	−	6.25406i	2.60716	−	0.590953i
$113$	0.612060	+	0.198870i	0.0575778	+	0.0187082i	0.337664	−	0.941267i	$-0.390363\pi$
$113$	0.612060	+	0.198870i	0.0575778	+	0.0187082i	−0.280087	+	0.959975i	$0.590363\pi$
$114$	−12.4980	+	18.5296i	−1.17055	+	1.73546i
$115$	4.53335	+	10.7266i	0.422737	+	1.00026i
$116$	−1.43006	−	6.72789i	−0.132778	−	0.624669i
$117$	6.59443	−	18.1197i	0.609656	−	1.67516i
$118$			29.6564i			2.73010i
$119$	4.33812	+	3.06348i	0.397675	+	0.280828i
$120$	20.6045	+	22.1645i	1.88092	+	2.02333i
$121$	−1.06289	−	10.1127i	−0.0966264	−	0.919339i
$122$	12.2074	+	5.43509i	1.10521	+	0.492070i
$123$	−2.10541	−	4.31658i	−0.189839	−	0.389212i
$124$	−19.5794	−	11.3042i	−1.75828	−	1.01514i
$125$	2.84291	+	10.8129i	0.254277	+	0.967131i
$126$	14.3431	−	15.2593i	1.27779	−	1.35941i
$127$	3.11048	+	9.57307i	0.276010	+	0.849472i	0.988950	+	0.148247i	$0.0473631\pi$
$127$	3.11048	+	9.57307i	0.276010	+	0.849472i	−0.712940	+	0.701225i	$0.752637\pi$
$128$	5.98565	−	0.629117i	0.529062	−	0.0556066i
$129$	−1.22820	+	1.18609i	−0.108137	+	0.104429i
$130$	−3.24581	−	37.7813i	−0.284677	−	3.31364i
$131$	17.0399	−	7.58665i	1.48878	−	0.662848i	0.508610	−	0.860997i	$-0.330160\pi$
$131$	17.0399	−	7.58665i	1.48878	−	0.662848i	0.980172	+	0.198149i	$0.0634929\pi$
$132$	−7.26586	−	2.93548i	−0.632412	−	0.255501i
$133$	12.8859	+	1.17925i	1.11735	+	0.102254i
$134$	−29.3966	−	9.55153i	−2.53948	−	0.825127i
$135$	11.3172	+	2.63094i	0.974026	+	0.226435i
$136$	11.6557	+	10.4948i	0.999466	+	0.899924i
$137$	4.07940	+	19.1921i	0.348527	+	1.63969i	0.707767	+	0.706446i	$0.249703\pi$
$137$	4.07940	+	19.1921i	0.348527	+	1.63969i	−0.359240	+	0.933245i	$0.616964\pi$
$138$	22.3644	−	8.14032i	1.90378	−	0.692950i
$139$	1.44761	−	0.470358i	0.122785	−	0.0398953i	−0.246980	−	0.969021i	$-0.579438\pi$
$139$	1.44761	−	0.470358i	0.122785	−	0.0398953i	0.369765	+	0.929125i	$0.379438\pi$
$140$	9.22547	−	27.8649i	0.779695	−	2.35502i
$141$	−5.58921	−	4.68977i	−0.470696	−	0.394950i
$142$	12.8960	−	5.74168i	1.08221	−	0.481831i
$143$	2.93060	+	5.07595i	0.245069	+	0.424473i
$144$	24.5738	−	20.6211i	2.04782	−	1.71842i
$145$	−2.92944	−	1.01382i	−0.243277	−	0.0841935i
$146$	29.3968	−	21.3580i	2.43290	−	1.76760i
$147$	−11.7404	−	3.02685i	−0.968336	−	0.249651i
$148$	−9.59781	−	29.5390i	−0.788935	−	2.42809i
$149$	3.14710	+	1.81698i	0.257821	+	0.148853i	0.623340	−	0.781951i	$-0.285775\pi$
$149$	3.14710	+	1.81698i	0.257821	+	0.148853i	−0.365519	+	0.930804i	$0.619109\pi$
$150$	22.3651	−	4.68100i	1.82610	−	0.382202i
$151$	5.19800	+	9.00320i	0.423007	+	0.732670i	0.996232	−	0.0867280i	$-0.0276411\pi$
$151$	5.19800	+	9.00320i	0.423007	+	0.732670i	−0.573225	+	0.819398i	$0.694308\pi$
$152$	37.3799	+	7.94535i	3.03191	+	0.644453i
$153$	5.96325	+	0.837906i	0.482101	+	0.0677407i
$154$	0.750546	+	6.32132i	0.0604807	+	0.509386i
$155$	−8.91948	+	4.92590i	−0.716430	+	0.395658i
$156$	−55.2007	+	1.92844i	−4.41959	+	0.154399i
$157$	−15.9470	+	9.20703i	−1.27271	+	0.734801i	−0.975498	−	0.220009i	$-0.929391\pi$
$157$	−15.9470	+	9.20703i	−1.27271	+	0.734801i	−0.297215	+	0.954811i	$0.596058\pi$
$158$	3.82245	+	0.401755i	0.304098	+	0.0319619i
$159$	3.38137	+	9.28981i	0.268160	+	0.736730i
$160$	11.9339	−	25.4880i	0.943457	−	2.01500i
$161$	−10.3628	−	9.08116i	−0.816703	−	0.715696i
$162$	6.54401	−	22.8266i	0.514146	−	1.79343i
$163$	−4.05758	−	4.50640i	−0.317814	−	0.352969i	0.562978	−	0.826472i	$-0.309656\pi$
$163$	−4.05758	−	4.50640i	−0.317814	−	0.352969i	−0.880792	+	0.473504i	$0.842989\pi$
$164$	−9.20539	+	10.2236i	−0.718820	+	0.798331i
$165$	−2.82390	+	2.12110i	−0.219840	+	0.165127i
$166$	−24.9764	+	22.4888i	−1.93854	+	1.74547i
$167$	−17.2052	−	12.5003i	−1.33138	−	0.967306i	−0.999714	−	0.0239096i	$-0.992389\pi$
$167$	−17.2052	−	12.5003i	−1.33138	−	0.967306i	−0.331668	−	0.943396i	$-0.607611\pi$
$168$	−33.3773	−	12.9650i	−2.57511	−	1.00027i
$169$	22.9050	+	16.6414i	1.76192	+	1.28011i
$170$	11.3304	−	3.44466i	0.869005	−	0.264194i
$171$	13.6038	−	5.49674i	1.04031	−	0.420346i
$172$	4.46806	+	1.98931i	0.340686	+	0.151683i
$173$	−25.2111	−	5.35878i	−1.91676	−	0.407420i	−0.999968	−	0.00806218i	$-0.997434\pi$
$173$	−25.2111	−	5.35878i	−1.91676	−	0.407420i	−0.916795	−	0.399358i	$-0.869233\pi$
$174$	−2.37321	+	5.87414i	−0.179912	+	0.445317i
$175$	−8.60747	−	10.0455i	−0.650664	−	0.759366i
$176$			9.75115i			0.735020i
$177$	10.8863	−	16.1402i	0.818267	−	1.21317i
$178$	1.08222	−	2.43071i	0.0811160	−	0.182190i
$179$	−5.08170	+	11.4137i	−0.379824	+	0.853098i	0.617938	+	0.786227i	$0.287968\pi$
$179$	−5.08170	+	11.4137i	−0.379824	+	0.853098i	−0.997762	+	0.0668712i	$0.978698\pi$
$180$	−5.15598	−	32.8807i	−0.384304	−	2.45078i
$181$	−0.412873	+	0.568271i	−0.0306886	+	0.0422392i	−0.824086	−	0.566465i	$-0.808311\pi$
$181$	−0.412873	+	0.568271i	−0.0306886	+	0.0422392i	0.793397	+	0.608705i	$0.208311\pi$
$182$	22.9550	+	38.5515i	1.70154	+	2.85763i
$183$	−4.64861	−	7.43910i	−0.343635	−	0.549914i
$184$	−27.2289	−	30.2407i	−2.00734	−	2.22938i
$185$	−13.6342	−	3.17022i	−1.00241	−	0.233079i
$186$	9.12902	+	18.7166i	0.669373	+	1.37237i
$187$	−1.36028	+	1.22480i	−0.0994738	+	0.0895666i
$188$	−6.45837	+	19.8768i	−0.471025	+	1.44967i
$189$	−13.4075	+	3.03962i	−0.975251	+	0.221100i
$190$	19.7117	−	21.0720i	1.43004	−	1.52872i
$191$	−18.8633	+	16.9846i	−1.36490	+	1.22896i	−0.417589	+	0.908636i	$0.637125\pi$
$191$	−18.8633	+	16.9846i	−1.36490	+	1.22896i	−0.947308	+	0.320323i	$0.896208\pi$
$192$	−18.0791	−	9.61249i	−1.30475	−	0.693722i
$193$	4.21542	+	7.30133i	0.303433	+	0.525561i	0.976911	−	0.213646i	$-0.0685339\pi$
$193$	4.21542	+	7.30133i	0.303433	+	0.525561i	−0.673478	+	0.739207i	$0.735201\pi$
$194$	8.99554	−	4.00507i	0.645842	−	0.287547i
$195$	−12.1023	+	21.7535i	−0.866667	+	1.55780i
$196$	4.55865	+	34.4298i	0.325618	+	2.45927i
$197$	−7.89129	−	10.8614i	−0.562231	−	0.773844i	0.429377	−	0.903125i	$-0.358733\pi$
$197$	−7.89129	−	10.8614i	−0.562231	−	0.773844i	−0.991608	+	0.129281i	$0.958733\pi$
$198$	4.03645	+	5.98392i	0.286858	+	0.425259i
$199$	7.57496	−	4.37340i	0.536974	−	0.310022i	−0.206877	−	0.978367i	$-0.566330\pi$
$199$	7.57496	−	4.37340i	0.536974	−	0.310022i	0.743852	+	0.668345i	$0.232997\pi$
$200$	−21.7452	−	32.4575i	−1.53762	−	2.29509i
$201$	12.4925	+	15.9893i	0.881157	+	1.12780i
$202$	21.0924	−	6.85334i	1.48406	−	0.482199i
$203$	3.64229	−	0.432458i	0.255638	−	0.0303526i
$204$	−4.17329	−	16.7371i	−0.292188	−	1.17183i
$205$	1.80348	+	5.93212i	0.125960	+	0.414318i
$206$	1.46205	−	13.9105i	0.101866	−	0.969190i
$207$	−15.1597	−	3.77927i	−1.05367	−	0.262678i
$208$	27.9550	+	62.7879i	1.93833	+	4.35356i
$209$	−1.37819	+	4.24162i	−0.0953312	+	0.293399i
$210$	−21.3968	+	16.5267i	−1.47652	+	1.14045i
$211$	−3.08052	−	9.48087i	−0.212072	−	0.652690i	−0.999349	−	0.0360903i	$-0.988510\pi$
$211$	−3.08052	−	9.48087i	−0.212072	−	0.652690i	0.787277	−	0.616600i	$-0.211490\pi$
$212$	21.0449	−	18.9489i	1.44537	−	1.30141i
$213$	−9.12617	−	1.60906i	−0.625315	−	0.110251i
$214$	1.32652	−	1.47325i	0.0906788	−	0.100709i
$215$	1.80761	−	1.26148i	0.123278	−	0.0860326i
$216$	−40.3786	+	4.24571i	−2.74741	+	0.288884i
$217$	6.95450	−	9.84810i	0.472102	−	0.668533i
$218$		−	39.9525i		−	2.70592i
$219$	−23.8390	+	0.832818i	−1.61089	+	0.0562766i
$220$	8.66362	+	5.22411i	0.584101	+	0.352210i
$221$	−5.24759	+	11.7863i	−0.352991	+	0.792830i
$222$	−7.88510	+	27.5001i	−0.529213	+	1.84569i
$223$	3.56820	−	1.15938i	0.238944	−	0.0776378i	−0.187097	−	0.982341i	$-0.559908\pi$
$223$	3.56820	−	1.15938i	0.238944	−	0.0776378i	0.426041	+	0.904704i	$0.359908\pi$
$224$	0.448183	+	33.2968i	0.0299455	+	2.22474i
$225$	−13.8902	−	5.66224i	−0.926017	−	0.377483i
$226$	−0.849001	+	1.47051i	−0.0564747	+	0.0978170i
$227$	1.14455	−	1.27116i	0.0759667	−	0.0843695i	−0.703963	−	0.710236i	$-0.748588\pi$
$227$	1.14455	−	1.27116i	0.0759667	−	0.0843695i	0.779930	+	0.625867i	$0.215255\pi$
$228$	−29.1961	−	30.2326i	−1.93356	−	2.00220i
$229$	23.5899	−	2.47939i	1.55886	−	0.163843i	0.714507	−	0.699628i	$-0.246651\pi$
$229$	23.5899	−	2.47939i	1.55886	−	0.163843i	0.844354	+	0.535785i	$0.179984\pi$
$230$	−30.1700	+	5.81543i	−1.98935	+	0.383458i
$231$	1.91197	−	3.71581i	0.125798	−	0.244483i
$232$	10.8323			0.711177
$233$	−0.720816	−	1.61898i	−0.0472222	−	0.106063i	0.888394	−	0.459082i	$-0.151822\pi$
$233$	−0.720816	−	1.61898i	−0.0472222	−	0.106063i	−0.935616	+	0.353019i	$0.885155\pi$
$234$	43.1458	+	26.9588i	2.82053	+	1.76235i
$235$	6.16843	+	7.11846i	0.402384	+	0.464357i
$236$	−54.5485	−	11.5946i	−3.55080	−	0.754747i
$237$	−1.93284	−	1.62180i	−0.125552	−	0.105347i
$238$	−10.2860	+	9.51530i	−0.666740	+	0.616786i
$239$	6.38392	−	2.07426i	0.412942	−	0.134173i	−0.0951762	−	0.995460i	$-0.530341\pi$
$239$	6.38392	−	2.07426i	0.412942	−	0.134173i	0.508118	+	0.861288i	$0.330341\pi$
$240$	−35.5323	+	21.2749i	−2.29360	+	1.37329i
$241$	−2.67123	−	12.5672i	−0.172069	−	0.809523i	−0.976507	−	0.215486i	$-0.930867\pi$
$241$	−2.67123	−	12.5672i	−0.172069	−	0.809523i	0.804438	−	0.594037i	$-0.202467\pi$
$242$	26.6820	+	2.80439i	1.71519	+	0.180273i
$243$	−11.9407	+	10.0209i	−0.765998	+	0.642843i
$244$	−14.7697	+	20.3287i	−0.945533	+	1.30141i
$245$	14.3491	+	6.25329i	0.916730	+	0.399508i
$246$	12.2952	−	3.06572i	0.783912	−	0.195463i
$247$	3.28587	+	31.2630i	0.209075	+	1.98922i
$248$	23.8246	−	26.4599i	1.51287	−	1.68021i
$249$	21.8483	−	3.07090i	1.38458	−	0.194611i
$250$	−29.4654	+	1.40541i	−1.86355	+	0.0888856i
$251$	−8.61205			−0.543588			−0.271794	−	0.962355i	$-0.587617\pi$
$251$	−8.61205			−0.543588			−0.271794	+	0.962355i	$0.587617\pi$
$252$	22.4596	+	32.3478i	1.41482	+	2.03772i
$253$	3.84209	−	2.79144i	0.241550	−	0.175497i
$254$	−26.4125	+	2.77606i	−1.65727	+	0.174186i
$255$	−7.43092	−	2.28448i	−0.465343	−	0.143060i
$256$	0.811497	−	7.72088i	0.0507186	−	0.482555i
$257$	7.88506	−	13.6573i	0.491857	−	0.851921i	−0.508099	−	0.861298i	$-0.669652\pi$
$257$	7.88506	−	13.6573i	0.491857	−	0.851921i	0.999956	+	0.00937766i	$0.00298505\pi$
$258$	−2.38731	−	3.82038i	−0.148628	−	0.237846i
$259$	16.1529	−	3.66129i	1.00369	−	0.227502i
$260$	70.7620	+	8.80102i	4.38847	+	0.545816i
$261$	3.44788	−	2.32577i	0.213418	−	0.143961i
$262$	10.2321	+	48.1384i	0.632143	+	2.97400i
$263$	−0.352084	−	1.65643i	−0.0217104	−	0.102140i	0.965958	−	0.258698i	$-0.0832934\pi$
$263$	−0.352084	−	1.65643i	−0.0217104	−	0.102140i	−0.987669	+	0.156558i	$0.949960\pi$
$264$	6.90109	−	10.2316i	0.424733	−	0.629712i
$265$	−2.41564	−	12.5322i	−0.148392	−	0.769845i
$266$	−10.1122	+	32.6091i	−0.620018	+	1.99939i
$267$	−1.48126	+	0.925621i	−0.0906514	+	0.0566471i
$268$	29.0617	−	50.3363i	1.77522	−	3.07478i
$269$	−0.841456	+	8.00592i	−0.0513045	+	0.488130i	0.938457	+	0.345397i	$0.112256\pi$
$269$	−0.841456	+	8.00592i	−0.0513045	+	0.488130i	−0.989761	+	0.142733i	$0.954411\pi$
$270$	−12.9981	+	27.7641i	−0.791042	+	1.68967i
$271$	−23.9974	+	2.52222i	−1.45774	+	0.153214i	−0.799984	−	0.600021i	$-0.795159\pi$
$271$	−23.9974	+	2.52222i	−1.45774	+	0.153214i	−0.657751	+	0.753235i	$0.728492\pi$
$272$	−17.3649	+	12.6163i	−1.05290	+	0.764978i
$273$	1.65856	−	29.4075i	0.100381	−	1.77983i
$274$	−51.7688			−3.12747
$275$	4.03250	−	2.12794i	0.243169	−	0.128320i
$276$	6.22920	+	44.3184i	0.374954	+	2.66766i
$277$	−4.04728	+	4.49496i	−0.243178	+	0.270076i	−0.852362	−	0.522953i	$-0.824830\pi$
$277$	−4.04728	+	4.49496i	−0.243178	+	0.270076i	0.609184	+	0.793029i	$0.291497\pi$
$278$	0.419789	+	3.99403i	0.0251773	+	0.239546i
$279$	1.90216	−	13.5374i	0.113879	−	0.810462i
$280$	39.9042	+	23.3355i	2.38473	+	1.39456i
$281$	3.97105	−	5.46568i	0.236893	−	0.326055i	−0.673974	−	0.738755i	$-0.735414\pi$
$281$	3.97105	−	5.46568i	0.236893	−	0.326055i	0.910867	+	0.412700i	$0.135414\pi$
$282$	15.1694	−	11.8520i	0.903325	−	0.705776i
$283$	−6.19777	−	0.651411i	−0.368419	−	0.0387224i	−0.0814897	−	0.996674i	$-0.525968\pi$
$283$	−6.19777	−	0.651411i	−0.368419	−	0.0387224i	−0.286929	+	0.957952i	$0.592634\pi$
$284$	5.51905	+	25.9651i	0.327495	+	1.54074i
$285$	−18.4630	+	4.23235i	−1.09365	+	0.250702i
$286$	−14.7077	+	4.77881i	−0.869682	+	0.282577i
$287$	−4.98180	−	5.38529i	−0.294066	−	0.317884i
$288$	17.7275	+	33.3382i	1.04460	+	1.96447i
$289$	12.6874	+	2.69679i	0.746317	+	0.158635i
$290$	4.22347	−	7.00417i	0.248011	−	0.411299i
$291$	−6.36590	−	1.12239i	−0.373176	−	0.0657954i
$292$	27.7917	+	62.4212i	1.62639	+	3.65292i
$293$	−24.0314			−1.40393			−0.701963	−	0.712213i	$-0.747693\pi$
$293$	−24.0314			−1.40393			−0.701963	+	0.712213i	$0.747693\pi$
$294$	14.2521	−	28.6393i	0.831201	−	1.67028i
$295$	−17.1698	+	18.3546i	−0.999664	+	1.06865i
$296$	48.6464	−	5.11294i	2.82752	−	0.297184i
$297$	−0.000203814	−	4.73838i	−1.18265e−5	−	0.274949i
$298$	−6.41566	+	7.12531i	−0.371649	+	0.412758i
$299$	16.7367	−	28.9889i	0.967910	−	1.67647i
$300$	−0.133991	+	42.9673i	−0.00773595	+	2.48072i
$301$	−1.27354	+	2.27605i	−0.0734058	+	0.131189i
$302$	−26.0869	+	8.47616i	−1.50113	+	0.487748i
$303$	−13.9950	−	4.01279i	−0.803993	−	0.230529i
$304$	−21.2715	+	47.7766i	−1.22000	+	2.74017i
$305$	4.40859	+	10.4314i	0.252435	+	0.597300i
$306$	−5.43371	+	14.9303i	−0.310625	+	0.853510i
$307$			23.3249i			1.33122i	0.746298	+	0.665612i	$0.231829\pi$
$307$			23.3249i			1.33122i	−0.746298	+	0.665612i	$0.768171\pi$
$308$	−11.9205	−	1.09090i	−0.679236	−	0.0621600i
$309$	−5.90199	+	7.03393i	−0.335753	+	0.400146i
$310$	−7.81984	−	25.7216i	−0.444137	−	1.46089i
$311$	−13.6562	+	15.1668i	−0.774374	+	0.860029i	−0.993282	−	0.115716i	$-0.963084\pi$
$311$	−13.6562	+	15.1668i	−0.774374	+	0.860029i	0.218909	+	0.975745i	$0.429750\pi$
$312$	15.1040	−	85.6660i	0.855094	−	4.84988i
$313$	−9.32203	+	8.39359i	−0.526912	+	0.474434i	−0.889127	−	0.457661i	$-0.848687\pi$
$313$	−9.32203	+	8.39359i	−0.526912	+	0.474434i	0.362215	+	0.932095i	$0.382021\pi$
$314$	−15.0135	−	46.2068i	−0.847262	−	2.60760i
$315$	17.7116	−	1.14010i	0.997935	−	0.0642373i
$316$	−2.23341	+	6.87374i	−0.125639	+	0.386678i
$317$	−6.66208	−	14.9633i	−0.374180	−	0.840421i	−0.998255	−	0.0590568i	$-0.981191\pi$
$317$	−6.66208	−	14.9633i	−0.374180	−	0.840421i	0.624075	−	0.781365i	$-0.285476\pi$
$318$	−25.8301	+	3.63056i	−1.44848	+	0.203592i
$319$	−0.132144	+	1.25727i	−0.00739865	+	0.0703935i
$320$	21.0862	+	15.9414i	1.17875	+	0.891153i
$321$	−1.26274	+	0.314856i	−0.0704794	+	0.0175736i
$322$	29.1214	−	21.7627i	1.62287	−	1.21279i
$323$	−9.33665	+	3.03366i	−0.519505	+	0.168798i
$324$	39.4276	+	20.9611i	2.19042	+	1.16451i
$325$	19.8649	−	25.2624i	1.10191	−	1.40131i
$326$	13.8560	−	7.99975i	0.767412	−	0.443065i
$327$	−14.6658	+	21.7436i	−0.811022	+	1.20243i
$328$	−12.7349	−	17.5281i	−0.703169	−	0.967830i
$329$	−10.2415	−	4.39563i	−0.564634	−	0.242339i
$330$	−3.92504	−	8.45150i	−0.216066	−	0.465240i
$331$	−16.1835	+	7.20534i	−0.889524	+	0.396042i	−0.800040	−	0.599947i	$-0.795188\pi$
$331$	−16.1835	+	7.20534i	−0.889524	+	0.396042i	−0.0894839	+	0.995988i	$0.528522\pi$
$332$	−31.5999	−	54.7326i	−1.73427	−	3.00384i
$333$	14.3862	−	12.0721i	0.788356	−	0.661548i
$334$	41.6991	−	37.5461i	2.28168	−	2.05443i
$335$	−12.6639	−	22.9309i	−0.691902	−	1.25285i
$336$	26.8519	−	40.9903i	1.46489	−	2.23620i
$337$	−3.77292	+	11.6119i	−0.205524	+	0.632538i	0.794167	+	0.607699i	$0.207907\pi$
$337$	−3.77292	+	11.6119i	−0.205524	+	0.632538i	−0.999691	+	0.0248391i	$0.992093\pi$
$338$	−55.5132	+	49.9843i	−3.01952	+	2.71879i
$339$	1.00186	−	0.488656i	0.0544134	−	0.0265401i
$340$	1.90613	+	22.1874i	0.103374	+	1.20328i
$341$	2.78047	+	3.08802i	0.150571	+	0.167226i
$342$	6.72341	+	38.1240i	0.363561	+	2.06151i
$343$	−18.5052	+	0.747613i	−0.999185	+	0.0403673i
$344$	−4.52746	+	6.23151i	−0.244104	+	0.335980i
$345$	18.5544	+	7.90988i	0.998935	+	0.425854i
$346$	27.6599	−	62.1251i	1.48701	−	3.33987i
$347$	−6.18320	+	13.8877i	−0.331932	+	0.745531i	0.668067	+	0.744101i	$0.267122\pi$
$347$	−6.18320	+	13.8877i	−0.331932	+	0.745531i	−0.999999	+	0.00143006i	$0.999545\pi$
$348$	−9.87674	−	6.66174i	−0.529449	−	0.357107i
$349$		−	6.55973i		−	0.351134i	−0.984467	−	0.175567i	$-0.943824\pi$
$349$		−	6.55973i		−	0.351134i	0.984467	−	0.175567i	$-0.0561759\pi$
$350$	30.6471	−	16.7036i	1.63816	−	0.892844i
$351$	−13.5855	−	30.5100i	−0.725141	−	1.62850i
$352$	−11.2265	−	2.38627i	−0.598376	−	0.127189i
$353$	23.6548	+	10.5318i	1.25902	+	0.560550i	0.924263	−	0.381755i	$-0.124680\pi$
$353$	23.6548	+	10.5318i	1.25902	+	0.560550i	0.334753	+	0.942306i	$0.391347\pi$
$354$	35.6827	+	36.9494i	1.89651	+	1.96384i
$355$	11.3057	+	3.91267i	0.600042	+	0.207663i
$356$	4.04781	+	2.94091i	0.214534	+	0.155868i
$357$	9.09091	−	1.40280i	0.481142	−	0.0742439i
$358$	−26.6688	−	19.3760i	−1.40949	−	1.02405i
$359$	−2.61916	+	2.35830i	−0.138234	+	0.124466i	−0.735347	−	0.677690i	$-0.762981\pi$
$359$	−2.61916	+	2.35830i	−0.138234	+	0.124466i	0.597113	+	0.802157i	$0.296314\pi$
$360$	52.3398	+	2.82372i	2.75855	+	0.148823i
$361$	−3.29189	+	3.65601i	−0.173257	+	0.192422i
$362$	−1.24011	−	1.37728i	−0.0651786	−	0.0723881i
$363$	−13.4919	−	11.3207i	−0.708142	−	0.594185i
$364$	−79.8842	+	27.1500i	−4.18707	+	1.42304i
$365$	30.5593	+	3.80081i	1.59955	+	0.198944i
$366$	21.7489	−	7.91631i	1.13683	−	0.413792i
$367$	−21.3574	−	2.24475i	−1.11485	−	0.117175i	−0.470858	−	0.882209i	$-0.656056\pi$
$367$	−21.3574	−	2.24475i	−1.11485	−	0.117175i	−0.643990	+	0.765034i	$0.722722\pi$
$368$	48.2281	−	27.8445i	2.51406	−	1.45149i
$369$	−7.81687	−	2.84486i	−0.406930	−	0.148097i
$370$	15.6610	−	33.4482i	0.814176	−	1.73889i
$371$	9.03990	+	12.0966i	0.469328	+	0.628022i
$372$	−37.9955	+	9.47391i	−1.96997	+	0.491199i
$373$	−10.3720	−	2.20464i	−0.537043	−	0.114152i	−0.0685977	−	0.997644i	$-0.521852\pi$
$373$	−10.3720	−	2.20464i	−0.537043	−	0.114152i	−0.468446	+	0.883492i	$0.655186\pi$
$374$	−2.41477	−	4.18251i	−0.124865	−	0.216272i
$375$	16.5521	+	10.0513i	0.854745	+	0.519048i
$376$	−28.5048	−	16.4572i	−1.47002	−	0.848718i
$377$	2.75351	+	8.47442i	0.141813	+	0.436455i
$378$	−0.489756	−	36.2695i	−0.0251904	−	1.86550i
$379$	−10.3394	+	7.51204i	−0.531101	+	0.385868i	−0.820770	−	0.571259i	$-0.806455\pi$
$379$	−10.3394	+	7.51204i	−0.531101	+	0.385868i	0.289668	+	0.957127i	$0.406455\pi$
$380$	31.0521	+	44.4951i	1.59294	+	2.28255i
$381$	15.3937	+	8.18470i	0.788644	+	0.419315i
$382$	−33.4860	−	57.9995i	−1.71329	−	2.96751i
$383$	8.99824	−	4.00628i	0.459789	−	0.204711i	−0.163753	−	0.986501i	$-0.552360\pi$
$383$	8.99824	−	4.00628i	0.459789	−	0.204711i	0.623541	+	0.781790i	$0.285693\pi$
$384$	6.70066	−	7.98577i	0.341942	−	0.407522i
$385$	−3.19525	+	4.34686i	−0.162845	+	0.221536i
$386$	−21.1557	+	6.87391i	−1.07680	+	0.349873i
$387$	−0.103125	+	2.95553i	−0.00524212	+	0.150238i
$388$	3.84977	+	18.1118i	0.195443	+	0.919486i
$389$	−12.8457	−	11.5663i	−0.651303	−	0.586436i	0.275812	−	0.961212i	$-0.411053\pi$
$389$	−12.8457	−	11.5663i	−0.651303	−	0.586436i	−0.927116	+	0.374775i	$0.877720\pi$
$390$	−49.5026	−	43.1670i	−2.50666	−	2.18585i
$391$	9.94205	+	3.23037i	0.502791	+	0.163367i
$392$	−54.5304	−	4.25110i	−2.75420	−	0.214713i
$393$	12.1020	−	29.9547i	0.610465	−	1.51102i
$394$	32.3601	−	14.4076i	1.63028	−	0.725846i
$395$	2.13315	+	2.46168i	0.107330	+	0.123861i
$396$	−12.5846	+	5.08494i	−0.632401	+	0.255528i
$397$	−12.2158	+	1.28393i	−0.613092	+	0.0644386i	−0.405985	−	0.913880i	$-0.633072\pi$
$397$	−12.2158	+	1.28393i	−0.613092	+	0.0644386i	−0.207107	+	0.978318i	$0.566405\pi$
$398$	7.13152	+	21.9486i	0.357471	+	1.10018i
$399$	17.4736	−	14.0351i	0.874776	−	0.702634i
$400$	49.6353	−	19.8733i	2.48176	−	0.993665i
$401$	24.6493	+	14.2313i	1.23093	+	0.710677i	0.967224	−	0.253927i	$-0.0817221\pi$
$401$	24.6493	+	14.2313i	1.23093	+	0.710677i	0.263705	+	0.964603i	$0.415055\pi$
$402$	−48.1181	+	23.4696i	−2.39991	+	1.17056i
$403$	26.7564	+	11.9127i	1.33283	+	0.593415i
$404$	4.35927	+	41.4757i	0.216882	+	2.06349i
$405$	17.2658	−	10.3389i	0.857944	−	0.513744i
$406$	−0.881949	+	9.63725i	−0.0437704	+	0.478289i
$407$			5.70858i			0.282964i
$408$	27.1494	−	0.948467i	1.34409	−	0.0469561i
$409$	−2.96403	−	13.9447i	−0.146562	−	0.689519i	−0.988657	−	0.150190i	$-0.952011\pi$
$409$	−2.96403	−	13.9447i	−0.146562	−	0.689519i	0.842095	−	0.539329i	$-0.181322\pi$
$410$	−16.2990	+	1.40025i	−0.804949	+	0.0691535i
$411$	28.1745	+	19.0034i	1.38975	+	0.937368i
$412$	25.0146	+	8.12775i	1.23238	+	0.400425i
$413$	8.80818	−	28.4040i	0.433422	−	1.39767i
$414$	18.0697	−	37.0510i	0.888075	−	1.82096i
$415$	−28.4782	−	0.541711i	−1.39794	−	0.0265916i
$416$	−79.1290	+	16.8194i	−3.87962	+	0.824639i
$417$	1.23767	−	2.32780i	0.0606089	−	0.113993i
$418$	−10.1908	−	5.88364i	−0.498446	−	0.287778i
$419$	16.9713	+	12.3304i	0.829103	+	0.602379i	0.919305	−	0.393545i	$-0.128751\pi$
$419$	16.9713	+	12.3304i	0.829103	+	0.602379i	−0.0902023	+	0.995923i	$0.528751\pi$
$420$	−22.0330	−	45.8175i	−1.07510	−	2.23566i
$421$	25.8464	−	18.7785i	1.25968	−	0.915210i	0.260936	−	0.965356i	$-0.415969\pi$
$421$	25.8464	−	18.7785i	1.25968	−	0.915210i	0.998742	+	0.0501466i	$0.0159689\pi$
$422$	26.1581	−	2.74933i	1.27336	−	0.133835i
$423$	−12.6064	+	0.881890i	−0.612945	+	0.0428790i
$424$	22.2992	+	38.6234i	1.08295	+	1.87572i
$425$	9.00682	+	4.42790i	0.436895	+	0.214785i
$426$	9.15896	−	22.6702i	0.443753	−	1.09837i
$427$	−10.0776	−	8.83125i	−0.487690	−	0.427374i
$428$	2.19119	+	3.01591i	0.105915	+	0.145780i
$429$	9.75868	+	2.79811i	0.471154	+	0.135094i
$430$	2.26405	+	5.35708i	0.109182	+	0.258341i
$431$	−12.1361	−	1.27555i	−0.584575	−	0.0614413i	−0.192375	−	0.981321i	$-0.561619\pi$
$431$	−12.1361	−	1.27555i	−0.584575	−	0.0614413i	−0.392200	+	0.919880i	$0.628286\pi$
$432$	5.80559	−	55.2593i	0.279321	−	2.65867i
$433$	1.58081	−	2.17580i	0.0759691	−	0.104562i	−0.769341	−	0.638838i	$-0.779415\pi$
$433$	1.58081	−	2.17580i	0.0759691	−	0.104562i	0.845310	+	0.534275i	$0.179415\pi$
$434$	21.6010	+	23.3505i	1.03688	+	1.12086i
$435$	−4.86968	+	2.26157i	−0.233483	+	0.108434i
$436$	73.4865	+	15.6200i	3.51936	+	0.748064i
$437$	24.9140	−	5.29564i	1.19180	−	0.253325i
$438$	10.9279	−	61.9806i	0.522157	−	2.96155i
$439$	0.343610	−	1.61656i	0.0163996	−	0.0771540i	−0.969187	−	0.246327i	$-0.920776\pi$
$439$	0.343610	−	1.61656i	0.0163996	−	0.0771540i	0.985586	+	0.169173i	$0.0541096\pi$
$440$	−10.8843	+	11.6354i	−0.518890	+	0.554697i
$441$	−18.2695	+	10.3549i	−0.869977	+	0.493091i
$442$	−27.5394	−	20.0085i	−1.30991	−	0.951709i
$443$	19.9951	+	11.5442i	0.949995	+	0.548480i	0.893079	−	0.449899i	$-0.148540\pi$
$443$	19.9951	+	11.5442i	0.949995	+	0.548480i	0.0569157	+	0.998379i	$0.481873\pi$
$444$	−47.4994	−	25.2550i	−2.25422	−	1.19855i
$445$	2.07708	−	0.877829i	0.0984628	−	0.0416131i
$446$	1.03473	+	9.84482i	0.0489960	+	0.466166i
$447$	6.10722	−	1.52279i	0.288862	−	0.0720257i
$448$	−30.6784	−	6.09053i	−1.44942	−	0.287751i
$449$		−	22.6281i		−	1.06788i	−0.845521	−	0.533942i	$-0.820710\pi$
$449$		−	22.6281i		−	1.06788i	0.845521	−	0.533942i	$-0.179290\pi$
$450$	22.2328	−	32.7419i	1.04807	−	1.54347i
$451$	2.18978	−	1.26427i	0.103113	−	0.0595322i
$452$	−2.37285	−	2.13653i	−0.111610	−	0.100494i
$453$	17.3089	+	4.96299i	0.813245	+	0.233182i
$454$	2.65274	+	3.65118i	0.124499	+	0.171358i
$455$	−8.11259	+	37.1498i	−0.380324	+	1.74161i
$456$	56.1321	−	35.0763i	2.62863	−	1.64260i
$457$	−0.555156	+	0.961558i	−0.0259691	+	0.0449798i	−0.878718	−	0.477341i	$-0.841600\pi$
$457$	−0.555156	+	0.961558i	−0.0259691	+	0.0449798i	0.852749	+	0.522321i	$0.174934\pi$
$458$	−6.54178	+	62.2408i	−0.305677	+	2.90832i
$459$	8.43788	−	6.13104i	0.393847	−	0.286172i
$460$	1.09884	−	57.7668i	0.0512336	−	2.69339i
$461$	4.41424	+	13.5856i	0.205592	+	0.632747i	0.999689	+	0.0249552i	$0.00794431\pi$
$461$	4.41424	+	13.5856i	0.205592	+	0.632747i	−0.794097	+	0.607791i	$0.792056\pi$
$462$	8.54094	+	6.97277i	0.397360	+	0.324403i
$463$	1.27373	−	3.92013i	0.0591952	−	0.182184i	−0.917087	−	0.398688i	$-0.869466\pi$
$463$	1.27373	−	3.92013i	0.0591952	−	0.182184i	0.976282	+	0.216504i	$0.0694655\pi$
$464$	−3.08213	+	14.5003i	−0.143084	+	0.673159i
$465$	−5.18607	+	16.8692i	−0.240498	+	0.782290i
$466$	4.57368	−	0.972166i	0.211872	−	0.0450347i
$467$	−16.8720	+	7.51188i	−0.780741	+	0.347608i	−0.758103	−	0.652135i	$-0.773873\pi$
$467$	−16.8720	+	7.51188i	−0.780741	+	0.347608i	−0.0226388	+	0.999744i	$0.507207\pi$
$468$	−66.4551	+	68.8202i	−3.07189	+	3.18121i
$469$	25.3183	+	17.8792i	1.16909	+	0.825584i
$470$	−21.7551	+	12.0145i	−1.00349	+	0.554190i
$471$	−8.79076	+	30.6587i	−0.405057	+	1.41268i
$472$	35.7222	−	80.2334i	1.64425	−	3.69304i
$473$	−0.668037	−	0.601503i	−0.0307164	−	0.0276572i
$474$	5.24584	−	4.09862i	0.240949	−	0.188256i
$475$	24.3995	−	1.62939i	1.11953	−	0.0747613i
$476$	−13.4805	−	22.6396i	−0.617877	−	1.03769i
$477$	15.3904	+	7.50586i	0.704679	+	0.343670i
$478$	1.85125	+	17.6135i	0.0846744	+	0.805623i
$479$	33.1065	+	14.7399i	1.51267	+	0.673485i	0.984457	−	0.175625i	$-0.0561946\pi$
$479$	33.1065	+	14.7399i	1.51267	+	0.673485i	0.528216	+	0.849110i	$0.322861\pi$
$480$	−15.7986	−	46.1148i	−0.721103	−	2.10484i
$481$	16.3656	+	36.7577i	0.746207	+	1.67601i
$482$	33.8987			1.54404
$483$	−23.8376	+	1.15417i	−1.08465	+	0.0525167i
$484$	−15.5900	+	47.9811i	−0.708637	+	2.18096i
$485$	7.88618	+	2.72926i	0.358093	+	0.123929i
$486$	−19.3117	−	36.3138i	−0.875998	−	1.64723i
$487$	−6.25751	+	1.33008i	−0.283555	+	0.0602715i	−0.347494	−	0.937682i	$-0.612967\pi$
$487$	−6.25751	+	1.33008i	−0.283555	+	0.0602715i	0.0639386	+	0.997954i	$0.479634\pi$
$488$	−26.4796	−	29.4085i	−1.19867	−	1.33126i
$489$	−10.4775	−	0.732508i	−0.473809	−	0.0331252i
$490$	−24.0099	+	33.6018i	−1.08466	+	1.51798i
$491$	−13.1957	−	4.28755i	−0.595515	−	0.193494i	−0.00427577	−	0.999991i	$-0.501361\pi$
$491$	−13.1957	−	4.28755i	−0.595515	−	0.193494i	−0.591239	+	0.806496i	$0.701361\pi$
$492$	0.831935	+	23.8137i	0.0375065	+	1.07361i
$493$	−2.40992	+	1.39137i	−0.108537	+	0.0626641i
$494$	−82.4861	−	8.66964i	−3.71123	−	0.390066i
$495$	−0.966235	+	6.04043i	−0.0434290	+	0.271497i
$496$	28.6408	+	39.4206i	1.28601	+	1.77004i
$497$	−14.0567	+	1.66899i	−0.630531	+	0.0748645i
$498$	−4.05987	+	58.0708i	−0.181927	+	2.60222i
$499$	3.57488	−	6.19188i	0.160034	−	0.277186i	−0.774847	−	0.632149i	$-0.782173\pi$
$499$	3.57488	−	6.19188i	0.160034	−	0.277186i	0.934881	+	0.354963i	$0.115506\pi$
$500$	8.93491	−	54.7465i	0.399581	−	2.44834i
$501$	−36.4767	+	5.12700i	−1.62966	+	0.229058i
$502$	4.72428	−	22.2260i	0.210855	−	0.991995i
$503$	22.9310	−	16.6604i	1.02244	−	0.742849i	0.0556614	−	0.998450i	$-0.482273\pi$
$503$	22.9310	−	16.6604i	1.02244	−	0.742849i	0.966782	+	0.255601i	$0.0822733\pi$
$504$	−57.1847	+	24.0063i	−2.54721	+	1.06933i
$505$	17.0221	+	7.97001i	0.757472	+	0.354661i
$506$	5.09652	+	11.4470i	0.226568	+	0.508880i
$507$	48.5607	−	6.82547i	2.15666	−	0.303130i
$508$	5.22022	−	49.6671i	0.231610	−	2.20362i
$509$	−3.63790	−	4.04030i	−0.161247	−	0.179083i	0.657107	−	0.753797i	$-0.271780\pi$
$509$	−3.63790	−	4.04030i	−0.161247	−	0.179083i	−0.818354	+	0.574714i	$0.805113\pi$
$510$	9.97214	−	17.9246i	0.441574	−	0.793713i
$511$	−34.4988	+	11.7250i	−1.52614	+	0.518683i
$512$	30.9290	+	10.0494i	1.36688	+	0.444127i
$513$	10.3355	−	23.2166i	0.456323	−	1.02504i
$514$	30.9214	+	27.8417i	1.36388	+	1.22805i
$515$	8.95846	−	7.76287i	0.394757	−	0.342073i
$516$	7.96036	−	2.89746i	0.350435	−	0.127554i
$517$	2.25786	−	3.10768i	0.0993007	−	0.136676i
$518$	0.588156	+	43.6958i	0.0258421	+	1.91988i
$519$	−37.8586	+	23.6574i	−1.66181	+	1.03845i
$520$	−36.7276	+	106.124i	−1.61061	+	4.65387i
$521$	−3.15510	−	1.40474i	−0.138227	−	0.0615428i	0.336457	−	0.941699i	$-0.390771\pi$
$521$	−3.15510	−	1.40474i	−0.138227	−	0.0615428i	−0.474685	+	0.880156i	$0.657438\pi$
$522$	4.11096	+	10.1741i	0.179932	+	0.445310i
$523$	0.550988	−	2.59220i	0.0240930	−	0.113349i	−0.964458	−	0.264237i	$-0.914880\pi$
$523$	0.550988	−	2.59220i	0.0240930	−	0.113349i	0.988551	+	0.150888i	$0.0482133\pi$
$524$	−92.5436			−4.04279
$525$	−22.8109	−	2.15928i	−0.995550	−	0.0942387i
$526$	4.46805			0.194816
$527$	−1.90171	+	8.94686i	−0.0828400	+	0.389731i
$528$	11.7326	+	12.1491i	0.510596	+	0.528722i
$529$	−3.76576	−	1.67663i	−0.163729	−	0.0728968i
$530$	33.6682	+	0.640435i	1.46245	+	0.0278187i
$531$	−5.85640	−	33.2077i	−0.254146	−	1.44109i
$532$	−56.0260	−	31.3489i	−2.42903	−	1.35915i
$533$	10.4756	−	14.4184i	0.453749	−	0.624532i
$534$	−1.57628	−	4.33059i	−0.0682122	−	0.187403i
$535$	1.67394	−	0.143809i	0.0723707	−	0.00621740i
$536$	68.0253	+	61.2503i	2.93825	+	2.64561i
$537$	7.40159	+	20.3348i	0.319402	+	0.877511i
$538$	−20.2001	−	6.56341i	−0.870888	−	0.282969i
$539$	1.15863	−	6.27728i	0.0499057	−	0.270382i
$540$	−45.9860	−	34.7629i	−1.97892	−	1.49596i
$541$	−1.55378	−	1.72565i	−0.0668022	−	0.0741914i	0.708817	−	0.705392i	$-0.249229\pi$
$541$	−1.55378	−	1.72565i	−0.0668022	−	0.0741914i	−0.775619	+	0.631201i	$0.782562\pi$
$542$	6.65478	−	63.3160i	0.285847	−	2.71966i
$543$	0.169339	+	1.20479i	0.00726705	+	0.0517024i
$544$	−10.2758	−	23.0797i	−0.440569	−	0.989535i
$545$	23.1308	−	24.7269i	0.990813	−	1.05919i
$546$	74.9852	+	20.4124i	3.20907	+	0.873570i
$547$	−5.82213	+	4.23003i	−0.248937	+	0.180863i	−0.705255	−	0.708953i	$-0.749168\pi$
$547$	−5.82213	+	4.23003i	−0.248937	+	0.180863i	0.456319	+	0.889816i	$0.349168\pi$
$548$	20.2398	−	95.2208i	0.864602	−	4.06763i
$549$	−14.7425	−	3.67527i	−0.629195	−	0.156857i
$550$	3.27970	+	11.5744i	0.139847	+	0.493534i
$551$	−3.39010	+	5.87182i	−0.144423	+	0.250148i
$552$	−70.3105	−	4.91558i	−2.99262	−	0.209221i
$553$	−3.54170	−	1.52008i	−0.150608	−	0.0646406i
$554$	−9.38041	−	12.9110i	−0.398535	−	0.548537i
$555$	−20.8015	+	12.4549i	−0.882976	+	0.528682i
$556$	−7.51053	−	0.789388i	−0.318517	−	0.0334775i
$557$	−30.6601	+	17.7016i	−1.29911	+	0.750041i	−0.980250	−	0.197762i	$-0.936633\pi$
$557$	−30.6601	+	17.7016i	−1.29911	+	0.750041i	−0.318858	+	0.947802i	$0.603299\pi$
$558$	33.8938	+	12.3352i	1.43484	+	0.522192i
$559$	−6.02593	−	1.95794i	−0.254870	−	0.0828122i
$560$	−42.5911	+	46.7766i	−1.79980	+	1.97667i
$561$	−0.221112	+	3.16270i	−0.00933535	+	0.133529i
$562$	11.9275	+	13.2468i	0.503129	+	0.558782i
$563$	6.14652	−	1.30648i	0.259045	−	0.0550617i	−0.0765584	−	0.997065i	$-0.524393\pi$
$563$	6.14652	−	1.30648i	0.259045	−	0.0550617i	0.335603	+	0.942003i	$0.391060\pi$
$564$	15.8692	+	32.5355i	0.668215	+	1.36999i
$565$	−1.37682	+	0.418578i	−0.0579232	+	0.0176097i
$566$	5.08105	−	15.6379i	0.213572	−	0.657308i
$567$	−13.0473	+	19.9190i	−0.547936	+	0.836520i
$568$	−41.8054			−1.75411
$569$	6.63999	+	14.9137i	0.278363	+	0.625214i	0.997577	−	0.0695754i	$-0.0221644\pi$
$569$	6.63999	+	14.9137i	0.278363	+	0.625214i	−0.719214	+	0.694789i	$0.755498\pi$
$570$	−0.794669	−	49.9710i	−0.0332850	−	2.09306i
$571$	25.4943	+	11.3508i	1.06690	+	0.475016i	0.863640	−	0.504108i	$-0.168179\pi$
$571$	25.4943	+	11.3508i	1.06690	+	0.475016i	0.203263	+	0.979124i	$0.434845\pi$
$572$	−3.03970	−	28.9209i	−0.127096	−	1.20924i
$573$	−3.06619	+	43.8576i	−0.128092	+	1.83218i
$574$	16.6312	−	9.90285i	0.694173	−	0.413337i
$575$	−22.0394	−	13.8679i	−0.919106	−	0.578332i
$576$	−34.0908	+	9.77644i	−1.42045	+	0.407351i
$577$	3.09436	+	2.78618i	0.128820	+	0.115990i	0.731023	−	0.682353i	$-0.239043\pi$
$577$	3.09436	+	2.78618i	0.128820	+	0.115990i	−0.602203	+	0.798343i	$0.705710\pi$
$578$	−13.9198	+	31.2643i	−0.578985	+	1.30042i
$579$	14.0370	+	4.02483i	0.583359	+	0.167266i
$580$	11.2319	+	10.5068i	0.466378	+	0.436272i
$581$	30.6010	−	14.1210i	1.26954	−	0.585836i
$582$	6.38877	−	15.8134i	0.264823	−	0.655487i
$583$	−4.75490	+	2.11702i	−0.196928	+	0.0876779i
$584$	−105.258	+	22.3732i	−4.35559	+	0.925809i
$585$	11.0954	+	41.6646i	0.458737	+	1.72262i
$586$	13.1828	−	62.0202i	0.544576	−	2.56203i
$587$	1.10003	−	3.38553i	0.0454029	−	0.139736i	−0.925785	−	0.378050i	$-0.876595\pi$
$587$	1.10003	−	3.38553i	0.0454029	−	0.139736i	0.971188	+	0.238314i	$0.0765948\pi$
$588$	47.1056	+	37.4116i	1.94260	+	1.54283i
$589$	6.88682	+	21.1954i	0.283766	+	0.873343i
$590$	−37.9509	−	54.3806i	−1.56241	−	2.23881i
$591$	−22.9004	−	4.03761i	−0.941995	−	0.166085i
$592$	−6.99716	+	66.5735i	−0.287581	+	2.73616i
$593$	−0.369501	+	0.639994i	−0.0151736	+	0.0262814i	−0.873512	−	0.486802i	$-0.838163\pi$
$593$	−0.369501	+	0.639994i	−0.0151736	+	0.0262814i	0.858339	+	0.513083i	$0.171497\pi$
$594$	12.2289	+	2.59879i	0.501759	+	0.106630i
$595$	−11.8750	−	0.0660288i	−0.486829	−	0.00270692i
$596$	−10.5976	−	14.5864i	−0.434096	−	0.597482i
$597$	4.17567	−	14.5631i	0.170899	−	0.596028i
$598$	65.6333	+	59.0965i	2.68395	+	2.41664i
$599$	30.1302	−	17.3957i	1.23109	−	0.710767i	0.263829	−	0.964569i	$-0.415015\pi$
$599$	30.1302	−	17.3957i	1.23109	−	0.710767i	0.967256	+	0.253802i	$0.0816812\pi$
$600$	−66.1457	−	14.2754i	−2.70039	−	0.582792i
$601$		−	3.30797i		−	0.134935i	−0.997721	−	0.0674674i	$-0.978508\pi$
$601$		−	3.30797i		−	0.134935i	0.997721	−	0.0674674i	$-0.0214919\pi$
$602$	−5.17540	−	4.53532i	−0.210934	−	0.184846i
$603$	34.8030	+	4.89022i	1.41729	+	0.199145i
$604$	−5.39151	−	51.2968i	−0.219378	−	2.08724i
$605$	14.8901	+	17.1834i	0.605369	+	0.698605i
$606$	18.0334	−	33.9171i	0.732557	−	1.37779i
$607$	−9.49090	−	5.47957i	−0.385224	−	0.222409i	0.294865	−	0.955539i	$-0.404725\pi$
$607$	−9.49090	−	5.47957i	−0.385224	−	0.222409i	−0.680089	+	0.733130i	$0.738059\pi$
$608$	−49.7998	−	36.1817i	−2.01965	−	1.46736i
$609$	4.01765	−	4.92121i	0.162803	−	0.199418i
$610$	−29.3398	+	5.65539i	−1.18793	+	0.228980i
$611$	5.62922	−	26.4834i	0.227734	−	1.07140i
$612$	−25.3377	−	15.8317i	−1.02422	−	0.639960i
$613$	16.4251	−	3.49125i	0.663402	−	0.141010i	0.136109	−	0.990694i	$-0.456540\pi$
$613$	16.4251	−	3.49125i	0.663402	−	0.141010i	0.527293	+	0.849684i	$0.323207\pi$
$614$	−60.1970	−	12.7953i	−2.42935	−	0.516375i
$615$	9.38452	+	5.22098i	0.378420	+	0.210530i
$616$	5.58371	−	18.0060i	0.224974	−	0.725481i
$617$	15.3698	−	21.1547i	0.618766	−	0.851658i	−0.378497	−	0.925603i	$-0.623559\pi$
$617$	15.3698	−	21.1547i	0.618766	−	0.851658i	0.997262	+	0.0739449i	$0.0235589\pi$
$618$	−14.9155	−	19.0904i	−0.599991	−	0.767931i
$619$	1.90508	+	0.200232i	0.0765718	+	0.00804802i	0.142737	−	0.989761i	$-0.454410\pi$
$619$	1.90508	+	0.200232i	0.0765718	+	0.00804802i	−0.0661651	+	0.997809i	$0.521076\pi$
$620$	50.3682	−	4.32716i	2.02284	−	0.173783i
$621$	−23.4349	+	13.5315i	−0.940411	+	0.543001i
$622$	−31.6511	−	43.5640i	−1.26909	−	1.74676i
$623$	−1.75846	+	2.00663i	−0.0704512	+	0.0803941i
$624$	110.376	+	44.5930i	4.41858	+	1.78515i
$625$	−19.0501	−	16.1894i	−0.762002	−	0.647575i
$626$	−16.5485	−	28.6628i	−0.661409	−	1.14559i
$627$	3.38642	+	6.94294i	0.135241	+	0.277274i
$628$	90.8602	−	9.54979i	3.62572	−	0.381078i
$629$	−10.1659	+	7.38595i	−0.405340	+	0.294497i
$630$	−6.77361	+	46.3355i	−0.269867	+	1.84605i
$631$	−36.2532	−	26.3395i	−1.44322	−	1.04856i	−0.987358	−	0.158505i	$-0.949333\pi$
$631$	−36.2532	−	26.3395i	−1.44322	−	1.04856i	−0.455858	−	0.890053i	$-0.650667\pi$
$632$	−9.85744	−	5.69120i	−0.392108	−	0.226384i
$633$	−15.2455	−	8.10588i	−0.605953	−	0.322180i
$634$	42.2718	−	8.98516i	1.67883	−	0.356846i
$635$	−17.9542	−	13.5736i	−0.712489	−	0.538651i
$636$	3.42081	−	48.9299i	0.135644	−	1.94020i
$637$	−10.5355	−	43.7412i	−0.417433	−	1.73309i
$638$	−3.17227	−	1.03073i	−0.125591	−	0.0408071i
$639$	−13.3065	+	8.97587i	−0.526395	+	0.355080i
$640$	−10.1707	+	8.81335i	−0.402033	+	0.348378i
$641$	−4.63122	−	21.7882i	−0.182922	−	0.860582i	−0.969882	−	0.243577i	$-0.921679\pi$
$641$	−4.63122	−	21.7882i	−0.182922	−	0.860582i	0.786959	−	0.617005i	$-0.211654\pi$
$642$	−0.119884	−	3.43161i	−0.00473143	−	0.135435i
$643$			0.839726i			0.0331156i	0.999863	+	0.0165578i	$0.00527075\pi$
$643$			0.839726i			0.0331156i	−0.999863	+	0.0165578i	$0.994729\pi$
$644$	28.6437	+	62.0728i	1.12872	+	2.44601i
$645$	0.734305	−	3.74662i	0.0289132	−	0.147523i
$646$	−2.70751	−	25.7602i	−0.106525	−	1.01352i
$647$	36.2921	+	16.1583i	1.42679	+	0.635248i	0.967461	−	0.253019i	$-0.0814235\pi$
$647$	36.2921	+	16.1583i	1.42679	+	0.635248i	0.459328	+	0.888267i	$0.348090\pi$
$648$	−45.1998	+	53.8734i	−1.77562	+	2.11635i
$649$	8.87662	+	5.12492i	0.348438	+	0.201171i
$650$	54.3000	+	65.1255i	2.12982	+	2.55443i
$651$	−3.18453	−	20.6376i	−0.124812	−	0.808850i
$652$	9.29712	+	28.6136i	0.364103	+	1.12059i
$653$	−20.1598	+	2.11888i	−0.788914	+	0.0829182i	−0.490412	−	0.871491i	$-0.663154\pi$
$653$	−20.1598	+	2.11888i	−0.788914	+	0.0829182i	−0.298502	+	0.954409i	$0.596487\pi$
$654$	−48.0709	−	49.7774i	−1.87972	−	1.94645i
$655$	−21.5373	+	35.7172i	−0.841532	+	1.39559i
$656$	27.0869	−	12.0599i	1.05757	−	0.470858i
$657$	−28.6993	+	29.7207i	−1.11967	+	1.15952i
$658$	16.9624	−	24.0201i	0.661264	−	0.936401i
$659$	28.3465	+	9.21033i	1.10422	+	0.358783i	0.803726	−	0.595000i	$-0.202848\pi$
$659$	28.3465	+	9.21033i	1.10422	+	0.358783i	0.300496	+	0.953783i	$0.402848\pi$
$660$	17.0798	−	3.91527i	0.664830	−	0.152402i
$661$	18.0415	+	16.2447i	0.701734	+	0.631844i	0.940722	−	0.339178i	$-0.110149\pi$
$661$	18.0415	+	16.2447i	0.701734	+	0.631844i	−0.238988	+	0.971023i	$0.576816\pi$
$662$	−9.71786	−	45.7189i	−0.377695	−	1.77692i
$663$	7.64321	+	20.9986i	0.296838	+	0.815518i
$664$	94.6605	−	30.7571i	3.67354	−	1.19361i
$665$	−25.1378	+	14.3275i	−0.974802	+	0.555598i
$666$	23.2640	+	43.7502i	0.901461	+	1.69528i
$667$	6.59564	−	2.93657i	0.255384	−	0.113704i
$668$	52.7574	+	91.3784i	2.04124	+	3.53554i
$669$	3.05071	−	5.73775i	0.117947	−	0.221834i
$670$	66.1271	−	20.1039i	2.55471	−	0.776681i
$671$	3.73636	−	2.71463i	0.144241	−	0.104797i
$672$	40.6212	+	40.9458i	1.56699	+	1.57952i
$673$	9.97717	+	30.7066i	0.384591	+	1.18365i	0.936776	+	0.349929i	$0.113794\pi$
$673$	9.97717	+	30.7066i	0.384591	+	1.18365i	−0.552185	+	0.833722i	$0.686206\pi$
$674$	−27.8982	−	16.1070i	−1.07460	−	0.620420i
$675$	−24.1189	+	9.65809i	−0.928337	+	0.371740i
$676$	−70.2348	−	121.650i	−2.70134	−	4.67885i
$677$	−24.9929	−	5.31241i	−0.960556	−	0.204172i	−0.299155	−	0.954205i	$-0.596705\pi$
$677$	−24.9929	−	5.31241i	−0.960556	−	0.204172i	−0.661401	+	0.750032i	$0.730038\pi$
$678$	0.711539	+	2.85365i	0.0273265	+	0.109594i
$679$	−9.80518	+	1.16419i	−0.376288	+	0.0446776i
$680$	−34.8029	−	4.32861i	−1.33463	−	0.165995i
$681$	−0.103439	−	2.96088i	−0.00396378	−	0.113461i
$682$	−9.49485	+	5.48185i	−0.363576	+	0.209911i
$683$	−24.5587	−	2.58122i	−0.939713	−	0.0987678i	−0.377729	−	0.925916i	$-0.623295\pi$
$683$	−24.5587	−	2.58122i	−0.939713	−	0.0987678i	−0.561984	+	0.827148i	$0.689962\pi$
$684$	−72.7519	−	2.53846i	−2.78174	−	0.0970606i
$685$	−32.0402	−	29.9719i	−1.22419	−	1.14517i
$686$	8.22187	−	48.1683i	0.313912	−	1.83907i
$687$	26.4078	−	31.4725i	1.00752	−	1.20075i
$688$	−7.05338	−	7.83357i	−0.268907	−	0.298652i
$689$	−24.5478	+	27.2631i	−0.935196	+	1.03864i
$690$	−30.5922	+	43.5461i	−1.16462	+	1.65777i
$691$	4.74186	−	4.26959i	0.180389	−	0.162423i	−0.573990	−	0.818863i	$-0.694605\pi$
$691$	4.74186	−	4.26959i	0.180389	−	0.162423i	0.754378	+	0.656440i	$0.227938\pi$
$692$	103.456	+	75.1650i	3.93280	+	2.85734i
$693$	−2.08872	−	6.93007i	−0.0793441	−	0.263252i
$694$	−32.4495	−	23.5760i	−1.23177	−	0.894931i
$695$	−2.05256	+	2.71498i	−0.0778580	+	0.102985i
$696$	13.4962	−	13.0335i	0.511571	−	0.494032i
$697$	5.08463	+	2.26382i	0.192594	+	0.0857484i
$698$	16.9294	+	3.59845i	0.640786	+	0.136203i
$699$	−2.84604	−	1.14983i	−0.107647	−	0.0434904i
$700$	18.7417	+	62.9013i	0.708371	+	2.37744i
$701$			28.9985i			1.09526i	0.836721	+	0.547629i	$0.184470\pi$
$701$			28.9985i			1.09526i	−0.836721	+	0.547629i	$0.815530\pi$
$702$	86.1929	−	18.3247i	3.25314	−	0.691623i
$703$	−12.4529	+	27.9697i	−0.469670	+	1.05490i
$704$	4.38470	−	9.84819i	0.165254	−	0.371167i
$705$	16.2503	+	1.44713i	0.612021	+	0.0545022i
$706$	−40.1567	+	55.2709i	−1.51132	+	2.08015i
$707$	−22.2372	+	0.299317i	−0.836314	+	0.0112570i
$708$	−81.9135	+	51.1869i	−3.07850	+	1.92372i
$709$	−19.0599	−	21.1682i	−0.715809	−	0.794987i	0.269999	−	0.962861i	$-0.412977\pi$
$709$	−19.0599	−	21.1682i	−0.715809	−	0.794987i	−0.985808	+	0.167874i	$0.946310\pi$
$710$	−16.2997	+	27.0313i	−0.611718	+	1.01447i
$711$	−4.35951	+	0.304973i	−0.163495	+	0.0114374i
$712$	−5.85576	+	5.27255i	−0.219454	+	0.197597i
$713$	7.33336	−	22.5698i	0.274637	−	0.845244i
$714$	−1.36663	+	24.2314i	−0.0511447	+	0.906836i
$715$	−11.8694	−	5.55746i	−0.443892	−	0.207837i
$716$	46.0658	−	41.4778i	1.72156	−	1.55010i
$717$	5.45807	−	10.2655i	0.203836	−	0.383372i
$718$	−4.64953	−	8.05322i	−0.173519	−	0.300543i
$719$	−13.9866	+	6.22725i	−0.521613	+	0.232237i	−0.650616	−	0.759407i	$-0.725489\pi$
$719$	−13.9866	+	6.22725i	−0.521613	+	0.232237i	0.129003	+	0.991644i	$0.458822\pi$
$720$	−18.6722	+	69.2593i	−0.695870	+	2.58114i
$721$	−5.53183	+	12.8888i	−0.206016	+	0.480004i
$722$	−7.62963	−	10.5013i	−0.283945	−	0.390817i
$723$	−18.4490	−	12.4436i	−0.686125	−	0.462783i
$724$	3.01813	−	1.74252i	0.112168	−	0.0647602i
$725$	6.66906	−	1.88973i	0.247683	−	0.0701829i
$726$	36.6178	−	28.6098i	1.35901	−	1.06181i
$727$	15.1704	−	4.92916i	0.562639	−	0.182812i	−0.0138693	−	0.999904i	$-0.504415\pi$
$727$	15.1704	−	4.92916i	0.562639	−	0.182812i	0.576508	+	0.817091i	$0.304415\pi$
$728$	−15.6666	−	131.949i	−0.580642	−	4.89034i
$729$	−2.81996	+	26.8523i	−0.104443	+	0.994531i
$730$	−26.5730	+	76.7826i	−0.983509	+	2.84185i
$731$	0.206834	−	1.96789i	0.00765002	−	0.0727850i
$732$	6.05777	+	43.0988i	0.223902	+	1.59298i
$733$	−8.02212	−	18.0180i	−0.296304	−	0.665509i	0.702636	−	0.711550i	$-0.252006\pi$
$733$	−8.02212	−	18.0180i	−0.296304	−	0.665509i	−0.998940	+	0.0460404i	$0.985340\pi$
$734$	17.5092	−	53.8879i	0.646277	−	1.98904i
$735$	25.4017	−	9.47378i	0.936957	−	0.349446i
$736$	20.2552	+	62.3392i	0.746618	+	2.29785i
$737$	−7.93894	+	7.14825i	−0.292434	+	0.263309i
$738$	11.6301	−	18.6132i	0.428109	−	0.685162i
$739$	11.2515	−	12.4960i	0.413892	−	0.459674i	−0.499764	−	0.866162i	$-0.666580\pi$
$739$	11.2515	−	12.4960i	0.413892	−	0.459674i	0.913656	+	0.406488i	$0.133247\pi$
$740$	55.4000	+	41.8831i	2.03654	+	1.53965i
$741$	41.7096	+	34.9975i	1.53224	+	1.28566i
$742$	−36.1778	+	16.6944i	−1.32813	+	0.612871i
$743$			0.878930i			0.0322448i	0.999870	+	0.0161224i	$0.00513214\pi$
$743$			0.878930i			0.0322448i	−0.999870	+	0.0161224i	$0.994868\pi$
$744$	−2.15315	−	61.6327i	−0.0789381	−	2.25956i
$745$	−8.09596	+	0.695528i	−0.296613	+	0.0254822i
$746$	11.3795	−	25.5588i	0.416633	−	0.935773i
$747$	23.5263	−	30.1140i	0.860782	−	1.10182i
$748$	8.63718	−	2.80639i	0.315807	−	0.102612i
$749$	−1.70806	+	1.01704i	−0.0624112	+	0.0371620i
$750$	−35.0204	+	37.2038i	−1.27876	+	1.35849i
$751$	−8.49363	+	14.7114i	−0.309937	+	0.536826i	−0.978348	−	0.206965i	$-0.933641\pi$
$751$	−8.49363	+	14.7114i	−0.309937	+	0.536826i	0.668411	+	0.743792i	$0.266975\pi$
$752$	30.1404	−	33.4743i	1.09911	−	1.22068i
$753$	−10.7299	+	10.3620i	−0.391019	+	0.377613i
$754$	−23.3813	+	2.45747i	−0.851496	+	0.0894959i
$755$	−21.0528	−	9.85725i	−0.766189	−	0.358742i
$756$	66.9037	+	13.2793i	2.43326	+	0.482963i
$757$	−9.35861			−0.340144			−0.170072	−	0.985432i	$-0.554400\pi$
$757$	−9.35861			−0.340144			−0.170072	+	0.985432i	$0.554400\pi$
$758$	−13.7152	−	30.8049i	−0.498159	−	1.11888i
$759$	1.42826	−	8.10072i	0.0518424	−	0.294037i
$760$	−78.7106	+	33.2653i	−2.85513	+	1.20666i
$761$	15.9631	+	3.39307i	0.578664	+	0.122999i	0.487940	−	0.872877i	$-0.337749\pi$
$761$	15.9631	+	3.39307i	0.578664	+	0.122999i	0.0907239	+	0.995876i	$0.471082\pi$
$762$	−29.5676	+	35.2383i	−1.07112	+	1.27655i
$763$	−11.8662	+	38.2653i	−0.429584	+	1.38530i
$764$	119.773	−	38.9166i	4.33324	−	1.40795i
$765$	−12.0070	+	6.09463i	−0.434114	+	0.220352i
$766$	5.40327	+	25.4204i	0.195228	+	0.918476i
$767$	71.8492	+	7.55165i	2.59432	+	0.272674i
$768$	−8.27872	−	10.5960i	−0.298732	−	0.382349i
$769$	10.3181	−	14.2016i	0.372080	−	0.512124i	−0.581385	−	0.813629i	$-0.697489\pi$
$769$	10.3181	−	14.2016i	0.372080	−	0.512124i	0.953465	+	0.301505i	$0.0974889\pi$
$770$	−9.46557	−	10.6309i	−0.341115	−	0.383109i
$771$	−6.60839	−	26.5032i	−0.237996	−	0.954490i
$772$	−4.37235	−	41.6002i	−0.157364	−	1.49722i
$773$	35.5984	−	39.5360i	1.28039	−	1.42201i	0.424011	−	0.905657i	$-0.360622\pi$
$773$	35.5984	−	39.5360i	1.28039	−	1.42201i	0.856375	−	0.516355i	$-0.172712\pi$
$774$	−7.57108	−	1.88745i	−0.272137	−	0.0678430i
$775$	10.0519	−	20.4467i	0.361076	−	0.734466i
$776$	−29.1611			−1.04682
$777$	15.7198	−	23.9968i	0.563946	−	0.860881i
$778$	36.8971	−	26.8073i	1.32283	−	0.961089i
$779$	13.4869	−	1.41753i	0.483220	−	0.0507884i
$780$	98.7529	−	74.1756i	3.53592	−	2.65591i
$781$	0.509986	−	4.85219i	0.0182487	−	0.173625i
$782$	−13.7908	+	23.8864i	−0.493158	+	0.854175i
$783$	1.49740	−	7.04620i	0.0535127	−	0.251811i
$784$	21.2062	−	71.7856i	0.757363	−	2.56377i
$785$	17.4598	−	37.2900i	0.623166	−	1.33094i
$786$	70.6685	+	47.6650i	2.52066	+	1.70016i
$787$	−2.96329	−	13.9412i	−0.105630	−	0.496950i	−0.998877	−	0.0473834i	$-0.984912\pi$
$787$	−2.96329	−	13.9412i	−0.105630	−	0.496950i	0.893247	−	0.449567i	$-0.148422\pi$
$788$	13.8490	+	65.1543i	0.493350	+	2.32103i
$789$	−2.43168	−	1.64014i	−0.0865702	−	0.0583905i
$790$	−7.52329	+	4.15484i	−0.267667	+	0.147822i
$791$	1.24990	−	1.15625i	0.0444413	−	0.0411116i
$792$	−3.71250	−	21.0511i	−0.131918	−	0.748019i
$793$	16.2762	−	28.1911i	0.577983	−	1.00110i
$794$	3.38760	−	32.2308i	0.120221	−	1.14383i
$795$	−18.0884	−	12.7075i	−0.641529	−	0.450689i
$796$	−43.1592	+	4.53622i	−1.52974	+	0.160782i
$797$	32.3286	−	23.4881i	1.14514	−	0.831992i	0.157311	−	0.987549i	$-0.449717\pi$
$797$	32.3286	−	23.4881i	1.14514	−	0.831992i	0.987827	+	0.155558i	$0.0497174\pi$
$798$	26.6364	+	52.7952i	0.942918	+	1.86893i
$799$	8.45548			0.299133
$800$	10.7336	+	62.0086i	0.379490	+	2.19234i
$801$	−0.731812	+	2.93550i	−0.0258573	+	0.103721i
$802$	−50.2499	+	55.8082i	−1.77439	+	1.97066i
$803$	−1.31273	−	12.4898i	−0.0463252	−	0.440755i
$804$	−24.3563	−	97.6818i	−0.858980	−	3.44497i
$805$	30.6231	+	3.39088i	1.07932	+	0.119513i
$806$	−45.4220	+	62.5180i	−1.59992	+	2.20210i
$807$	8.58435	+	10.9871i	0.302183	+	0.386766i
$808$	−65.3191	−	6.86532i	−2.29792	−	0.241521i
$809$	5.56707	+	26.1910i	0.195728	+	0.920827i	0.960877	+	0.276974i	$0.0893317\pi$
$809$	5.56707	+	26.1910i	0.195728	+	0.920827i	−0.765149	+	0.643853i	$0.777335\pi$
$810$	17.2112	+	50.2311i	0.604741	+	1.76494i
$811$	8.66602	−	2.81576i	0.304305	−	0.0988747i	−0.152884	−	0.988244i	$-0.548856\pi$
$811$	8.66602	−	2.81576i	0.304305	−	0.0988747i	0.457189	+	0.889369i	$0.348856\pi$
$812$	−17.3815	−	5.39004i	−0.609969	−	0.189153i
$813$	−26.8639	+	32.0161i	−0.942160	+	1.12286i
$814$	−14.7327	−	3.13154i	−0.516381	−	0.109760i
$815$	13.2071	+	3.07090i	0.462625	+	0.107569i
$816$	−6.45521	+	36.6124i	−0.225978	+	1.28169i
$817$	−1.96096	−	4.40440i	−0.0686054	−	0.154090i
$818$	37.6144			1.31516
$819$	−33.3168	−	38.6349i	−1.16418	−	1.35001i
$820$	3.79678	−	30.5269i	0.132589	−	1.06605i
$821$	−45.2907	+	4.76025i	−1.58066	+	0.166134i	−0.853780	−	0.520633i	$-0.825696\pi$
$821$	−45.2907	+	4.76025i	−1.58066	+	0.166134i	−0.726877	+	0.686767i	$0.759029\pi$
$822$	−64.4996	+	62.2883i	−2.24968	+	2.17255i
$823$	−16.3291	+	18.1353i	−0.569195	+	0.632155i	−0.957174	−	0.289513i	$-0.906507\pi$
$823$	−16.3291	+	18.1353i	−0.569195	+	0.632155i	0.387979	+	0.921668i	$0.373173\pi$
$824$	−20.7112	+	35.8728i	−0.721508	+	1.24969i
$825$	2.46381	−	7.50314i	0.0857789	−	0.261226i
$826$	68.4733	+	38.3137i	2.38249	+	1.33310i
$827$	−31.0731	+	10.0963i	−1.08052	+	0.351082i	−0.794576	−	0.607165i	$-0.792307\pi$
$827$	−31.0731	+	10.0963i	−1.08052	+	0.351082i	−0.285942	+	0.958247i	$0.592307\pi$
$828$	61.0850	+	47.7220i	2.12285	+	1.65846i
$829$	−8.83485	+	19.8434i	−0.306847	+	0.689190i	−0.999485	−	0.0320959i	$-0.989782\pi$
$829$	−8.83485	+	19.8434i	−0.306847	+	0.689190i	0.692638	+	0.721286i	$0.256448\pi$
$830$	17.0202	−	73.1994i	0.590781	−	2.54079i
$831$	0.365772	+	10.4700i	0.0126885	+	0.363202i
$832$		−	75.9830i		−	2.63424i
$833$	12.6777	−	6.05846i	0.439256	−	0.209913i
$834$	5.32864	+	4.47113i	0.184516	+	0.154823i
$835$	47.5455	+	0.904410i	1.64538	+	0.0312984i
$836$	14.8063	−	16.4441i	0.512086	−	0.568730i
$837$	−13.9183	−	19.1551i	−0.481085	−	0.662097i
$838$	−41.1322	+	37.0356i	−1.42089	+	1.27937i
$839$	9.65528	+	29.7159i	0.333337	+	1.02591i	0.967535	+	0.252736i	$0.0813305\pi$
$839$	9.65528	+	29.7159i	0.333337	+	1.02591i	−0.634198	+	0.773171i	$0.718670\pi$
$840$	77.7945	−	18.9387i	2.68416	−	0.653448i
$841$	8.36759	−	25.7528i	0.288538	−	0.888028i
$842$	34.2852	+	77.0058i	1.18155	+	2.65379i
$843$	−1.62872	−	11.5877i	−0.0560961	−	0.399103i
$844$	−5.16995	+	49.1888i	−0.177957	+	1.69315i
$845$	−63.2964	−	1.20402i	−2.17746	−	0.0414196i
$846$	4.63947	−	33.0184i	0.159508	−	1.13520i
$847$	−24.7223	−	10.6107i	−0.849468	−	0.364589i
$848$	−58.0465	+	18.8605i	−1.99333	+	0.647671i
$849$	−8.50567	+	6.64556i	−0.291914	+	0.228075i
$850$	−16.3684	+	20.8158i	−0.561431	+	0.713977i
$851$	28.2340	−	16.3009i	0.967849	−	0.558788i
$852$	38.1175	+	25.7098i	1.30588	+	0.880802i
$853$	−3.43485	−	4.72766i	−0.117607	−	0.161872i	0.746155	−	0.665773i	$-0.231898\pi$
$853$	−3.43485	−	4.72766i	−0.117607	−	0.161872i	−0.863762	+	0.503900i	$0.831898\pi$
$854$	28.3200	−	21.1638i	0.969089	−	0.724211i
$855$	−17.9110	+	27.4878i	−0.612542	+	0.940064i
$856$	−5.36338	+	2.38793i	−0.183316	+	0.0816177i
$857$	5.45283	+	9.44458i	0.186265	+	0.322621i	0.944002	−	0.329939i	$-0.107028\pi$
$857$	5.45283	+	9.44458i	0.186265	+	0.322621i	−0.757737	+	0.652560i	$0.773695\pi$
$858$	−12.5746	+	23.6503i	−0.429291	+	0.807407i
$859$	23.5415	−	21.1968i	0.803225	−	0.723227i	−0.161390	−	0.986891i	$-0.551598\pi$
$859$	23.5415	−	21.1968i	0.803225	−	0.723227i	0.964615	+	0.263664i	$0.0849310\pi$
$860$	−10.7387	+	2.06994i	−0.366187	+	0.0705844i
$861$	−12.6865	−	0.715507i	−0.432355	−	0.0243844i
$862$	9.94941	−	30.6211i	0.338878	−	1.04296i
$863$	−32.1968	+	28.9902i	−1.09599	+	0.986837i	−0.999964	−	0.00854177i	$-0.997281\pi$
$863$	−32.1968	+	28.9902i	−1.09599	+	0.986837i	−0.0960297	+	0.995378i	$0.530614\pi$
$864$	62.1995	+	20.2069i	2.11607	+	0.687452i
$865$	53.0868	−	22.4359i	1.80500	−	0.762844i
$866$	4.74814	+	5.27334i	0.161348	+	0.179195i
$867$	19.0522	−	11.9055i	0.647047	−	0.404333i
$868$	−51.3950	+	30.6025i	−1.74446	+	1.03872i
$869$	0.780807	−	1.07469i	0.0264871	−	0.0364563i
$870$	−3.16533	−	13.8083i	−0.107315	−	0.468145i
$871$	−30.6262	+	68.7875i	−1.03773	+	2.33078i
$872$	−48.1242	+	108.089i	−1.62969	+	3.66034i
$873$	−9.28183	+	6.26106i	−0.314142	+	0.211905i
$874$			67.2032i			2.27318i
$875$	28.6384	+	7.40538i	0.968156	+	0.250347i
$876$	109.731	+	44.3325i	3.70748	+	1.49786i
$877$	−39.6768	−	8.43357i	−1.33979	−	0.284781i	−0.518396	−	0.855141i	$-0.673471\pi$
$877$	−39.6768	−	8.43357i	−1.33979	−	0.284781i	−0.821395	+	0.570359i	$0.806804\pi$
$878$	3.98352	+	1.77358i	0.134437	+	0.0598553i
$879$	−29.9410	+	28.9146i	−1.00989	+	0.975264i
$880$	−12.4784	−	17.8805i	−0.420647	−	0.602753i
$881$	−25.4612	−	18.4986i	−0.857809	−	0.623234i	0.0694793	−	0.997583i	$-0.477866\pi$
$881$	−25.4612	−	18.4986i	−0.857809	−	0.623234i	−0.927288	+	0.374349i	$0.877866\pi$
$882$	−16.7020	−	52.8304i	−0.562384	−	1.77889i
$883$	39.4384	+	28.6536i	1.32721	+	0.964272i	0.999812	+	0.0193841i	$0.00617052\pi$
$883$	39.4384	+	28.6536i	1.32721	+	0.964272i	0.327394	+	0.944888i	$0.393829\pi$
$884$	47.5696	−	42.8319i	1.59994	−	1.44059i
$885$	0.692193	+	43.5271i	0.0232678	+	1.46315i
$886$	−40.7618	+	45.2706i	−1.36942	+	1.52090i
$887$	−6.13844	−	6.81742i	−0.206108	−	0.228907i	0.631224	−	0.775601i	$-0.282553\pi$
$887$	−6.13844	−	6.81742i	−0.206108	−	0.228907i	−0.837333	+	0.546694i	$0.815886\pi$
$888$	54.4574	−	64.9017i	1.82747	−	2.17796i
$889$	26.1216	+	5.18587i	0.876090	+	0.173929i
$890$	1.12609	+	5.84207i	0.0377466	+	0.195827i
$891$	−5.70148	−	5.90338i	−0.191007	−	0.197771i
$892$	−18.5126	−	1.94575i	−0.619847	−	0.0651486i
$893$	17.8418	−	10.3010i	0.597053	−	0.344709i
$894$	0.579814	+	16.5969i	0.0193919	+	0.555083i
$895$	−5.28768	−	27.4321i	−0.176747	−	0.916953i
$896$	6.28040	−	14.6329i	0.209814	−	0.488852i
$897$	−14.0269	−	56.2554i	−0.468344	−	1.87831i
$898$	58.3986	+	12.4130i	1.94879	+	0.414227i
$899$	3.15859	+	5.47084i	0.105345	+	0.182463i
$900$	51.5314	+	53.6949i	1.71771	+	1.78983i
$901$	−9.92204	−	5.72849i	−0.330551	−	0.190844i
$902$	2.06159	+	6.34492i	0.0686435	+	0.211263i
$903$	1.15182	+	4.36809i	0.0383300	+	0.145361i
$904$	4.06820	−	2.95572i	0.135306	−	0.0983057i
$905$	0.0298717	−	1.57038i	0.000992968	−	0.0522011i
$906$	−22.3036	+	41.9484i	−0.740987	+	1.39364i
$907$	20.5585	+	35.6084i	0.682635	+	1.18236i	0.974174	+	0.225799i	$0.0724994\pi$
$907$	20.5585	+	35.6084i	0.682635	+	1.18236i	−0.291539	+	0.956559i	$0.594167\pi$
$908$	−7.75292	+	3.45182i	−0.257290	+	0.114553i
$909$	−22.2648	+	11.8392i	−0.738477	+	0.392682i
$910$	−91.4261	−	41.3161i	−3.03074	−	1.36962i
$911$	−10.8661	+	3.53061i	−0.360010	+	0.116974i	−0.483437	−	0.875379i	$-0.660612\pi$
$911$	−10.8661	+	3.53061i	−0.360010	+	0.116974i	0.123427	+	0.992354i	$0.460612\pi$
$912$	30.9823	+	85.1195i	1.02593	+	2.81859i
$913$	2.41509	+	11.3621i	0.0799278	+	0.376031i
$914$	−2.17705	−	1.96022i	−0.0720104	−	0.0648385i
$915$	18.0438	+	7.69221i	0.596510	+	0.254297i
$916$	−111.925	−	36.3666i	−3.69810	−	1.20159i
$917$	4.49743	−	49.1445i	0.148518	−	1.62289i
$918$	11.1942	+	25.1398i	0.369465	+	0.829737i
$919$	−8.60545	+	3.83139i	−0.283868	+	0.126386i	−0.543731	−	0.839259i	$-0.682989\pi$
$919$	−8.60545	+	3.83139i	−0.283868	+	0.126386i	0.259864	+	0.965645i	$0.416322\pi$
$920$	88.6278	+	20.6076i	2.92197	+	0.679413i
$921$	28.0646	+	29.0609i	0.924759	+	0.957588i
$922$	−37.4834	+	3.93966i	−1.23445	+	0.129746i
$923$	−10.6267	−	32.7055i	−0.349781	−	1.07651i
$924$	−16.1646	+	12.9836i	−0.531775	+	0.427131i
$925$	29.0578	−	11.6344i	0.955415	−	0.382535i
$926$	9.41836	+	5.43769i	0.309506	+	0.178694i
$927$	1.10984	+	15.8650i	0.0364520	+	0.521074i
$928$	−15.9400	−	7.09694i	−0.523256	−	0.232968i
$929$	−4.85961	−	46.2361i	−0.159439	−	1.51696i	−0.722980	−	0.690869i	$-0.757228\pi$
$929$	−4.85961	−	46.2361i	−0.159439	−	1.51696i	0.563542	−	0.826088i	$-0.309438\pi$
$930$	−40.6911	−	22.6381i	−1.33431	−	0.742332i
$931$	19.3703	−	28.2286i	0.634836	−	0.925155i
$932$			8.79268i			0.288014i
$933$	1.23418	+	35.3277i	0.0404052	+	1.15658i
$934$	−10.1313	−	47.6640i	−0.331506	−	1.55961i
$935$	0.926969	−	3.98664i	0.0303151	−	0.130377i
$936$	−84.2552	−	124.906i	−2.75397	−	4.08267i
$937$	19.0510	+	6.19005i	0.622370	+	0.202220i	0.603192	−	0.797596i	$-0.293895\pi$
$937$	19.0510	+	6.19005i	0.622370	+	0.202220i	0.0191777	+	0.999816i	$0.493895\pi$
$938$	−60.0314	+	55.5336i	−1.96009	+	1.81324i
$939$	−1.51528	+	21.6740i	−0.0494493	+	0.707304i
$940$	−13.5934	−	44.7125i	−0.443369	−	1.45836i
$941$	23.4935	−	4.99370i	0.765867	−	0.162790i	0.191617	−	0.981470i	$-0.438627\pi$
$941$	23.4935	−	4.99370i	0.765867	−	0.162790i	0.574250	+	0.818680i	$0.305294\pi$
$942$	−74.3017	−	39.5056i	−2.42088	−	1.28716i
$943$	−12.5059	−	7.22027i	−0.407247	−	0.235124i
$944$	97.2375	+	70.6471i	3.16481	+	2.29937i
$945$	20.6954	−	22.7311i	0.673221	−	0.739442i
$946$	1.91882	−	1.39411i	0.0623863	−	0.0453263i
$947$	−48.1232	+	5.05795i	−1.56379	+	0.164361i	−0.846492	−	0.532402i	$-0.821290\pi$
$947$	−48.1232	+	5.05795i	−1.56379	+	0.164361i	−0.717301	+	0.696763i	$0.754623\pi$
$948$	5.48785	+	11.2513i	0.178237	+	0.365427i
$949$	−44.2589	−	76.6587i	−1.43671	−	2.48845i
$950$	−9.17963	+	63.8641i	−0.297827	+	2.07203i
$951$	−26.3042	−	10.6272i	−0.852973	−	0.344609i
$952$	39.2895	−	13.3532i	1.27338	−	0.432779i
$953$	−23.5611	−	32.4291i	−0.763219	−	1.05048i	−0.996939	−	0.0781770i	$-0.975090\pi$
$953$	−23.5611	−	32.4291i	−0.763219	−	1.05048i	0.233721	−	0.972304i	$-0.424910\pi$
$954$	−27.8138	+	35.6021i	−0.900505	+	1.15266i
$955$	12.8544	−	55.2834i	0.415959	−	1.78893i
$956$	−33.1211	−	3.48117i	−1.07121	−	0.112589i
$957$	1.34811	+	1.72545i	0.0435781	+	0.0557757i
$958$	−56.2020	+	77.3554i	−1.81580	+	2.49924i
$959$	49.5826	+	15.3757i	1.60110	+	0.496508i
$960$	45.4524	−	5.50925i	1.46697	−	0.177810i
$961$	−10.0120	−	2.12812i	−0.322968	−	0.0686490i
$962$	−103.842	+	22.0723i	−3.34800	+	0.711640i
$963$	−1.19443	+	1.91162i	−0.0384901	+	0.0616010i
$964$	−13.2532	+	62.3516i	−0.426858	+	2.00821i
$965$	−17.0732	−	7.99393i	−0.549604	−	0.257334i
$966$	10.0978	−	62.1534i	0.324892	−	1.99975i
$967$	24.3367	+	17.6817i	0.782617	+	0.568604i	0.905763	−	0.423784i	$-0.139298\pi$
$967$	24.3367	+	17.6817i	0.782617	+	0.568604i	−0.123146	+	0.992389i	$0.539298\pi$
$968$	−68.8084	−	39.7265i	−2.21159	−	1.27686i
$969$	−7.98258	+	15.0136i	−0.256437	+	0.482305i
$970$	−11.3698	+	18.8555i	−0.365061	+	0.605413i
$971$	−3.61682	−	34.4117i	−0.116069	−	1.10433i	−0.885192	−	0.465225i	$-0.845973\pi$
$971$	−3.61682	−	34.4117i	−0.116069	−	1.10433i	0.769123	−	0.639101i	$-0.220693\pi$
$972$	74.3439	−	21.3236i	2.38458	−	0.683953i
$973$	0.784194	−	3.95004i	0.0251401	−	0.126632i
$974$		−	16.8790i		−	0.540839i
$975$	−5.64575	−	55.3763i	−0.180809	−	1.77346i
$976$	46.9009	−	27.0782i	1.50126	−	0.866753i
$977$	−37.7240	−	33.9668i	−1.20690	−	1.08669i	−0.993973	−	0.109626i	$-0.965035\pi$
$977$	−37.7240	−	33.9668i	−1.20690	−	1.08669i	−0.212924	−	0.977069i	$-0.568299\pi$
$978$	7.63807	−	26.6386i	0.244239	−	0.851807i
$979$	−0.540530	−	0.743976i	−0.0172754	−	0.0237776i
$980$	−52.4184	−	57.2998i	−1.67444	−	1.83037i
$981$	7.88961	+	44.7367i	0.251896	+	1.42833i
$982$	18.3041	−	31.7036i	0.584106	−	1.01170i
$983$	5.66912	−	53.9381i	0.180817	−	1.72036i	−0.408756	−	0.912644i	$-0.634037\pi$
$983$	5.66912	−	53.9381i	0.180817	−	1.72036i	0.589573	−	0.807715i	$-0.299296\pi$
$984$	−36.9565	−	6.51589i	−1.17813	−	0.207719i
$985$	28.3694	+	9.81808i	0.903923	+	0.312830i
$986$	−2.26885	−	6.98279i	−0.0722548	−	0.222377i
$987$	−18.0489	+	6.84605i	−0.574504	+	0.217912i
$988$	48.1957	−	148.331i	1.53331	−	4.71904i
$989$	−1.06738	+	5.02164i	−0.0339408	+	0.159679i
$990$	−15.0591	−	5.80724i	−0.478610	−	0.184566i
$991$	−47.0522	+	10.0013i	−1.49466	+	0.317700i	−0.881472	−	0.472235i	$-0.843447\pi$
$991$	−47.0522	+	10.0013i	−1.49466	+	0.317700i	−0.613190	+	0.789936i	$0.710114\pi$
$992$	−52.3940	+	23.3273i	−1.66351	+	0.740643i
$993$	−11.4938	+	28.4492i	−0.364743	+	0.902809i
$994$	3.40372	−	37.1932i	0.107959	−	1.17970i
$995$	−8.29352	+	17.7130i	−0.262922	+	0.561540i
$996$	−105.225	−	30.1712i	−3.33419	−	0.956011i
$997$	4.62338	−	10.3843i	0.146424	−	0.328873i	−0.825413	−	0.564530i	$-0.809057\pi$
$997$	4.62338	−	10.3843i	0.146424	−	0.328873i	0.971836	+	0.235657i	$0.0757241\pi$
$998$	14.0189	+	12.6227i	0.443762	+	0.399565i
$999$	3.39874	−	32.3503i	0.107532	−	1.02352i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	525.2.bm.a.131.3	✓	608
3.2	odd	2	inner	525.2.bm.a.131.74	yes	608
7.3	odd	6	inner	525.2.bm.a.206.3	yes	608
21.17	even	6	inner	525.2.bm.a.206.74	yes	608
25.21	even	5	inner	525.2.bm.a.446.74	yes	608
75.71	odd	10	inner	525.2.bm.a.446.3	yes	608
175.171	odd	30	inner	525.2.bm.a.521.74	yes	608
525.521	even	30	inner	525.2.bm.a.521.3	yes	608

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
525.2.bm.a.131.3	✓	608	1.1	even	1	trivial
525.2.bm.a.131.74	yes	608	3.2	odd	2	inner
525.2.bm.a.206.3	yes	608	7.3	odd	6	inner
525.2.bm.a.206.74	yes	608	21.17	even	6	inner
525.2.bm.a.446.3	yes	608	75.71	odd	10	inner
525.2.bm.a.446.74	yes	608	25.21	even	5	inner
525.2.bm.a.521.3	yes	608	525.521	even	30	inner
525.2.bm.a.521.74	yes	608	175.171	odd	30	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:	\( N \)	\(=\)	\( 525 = 3 \cdot 5^{2} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	525.bm (of order \(30\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.548566 + 2.58080i) q^{2} +(1.24592 - 1.20320i) q^{3} +(-4.53252 - 2.01801i) q^{4} +(-1.83369 + 1.27969i) q^{5} +(2.42176 + 3.87550i) q^{6} +(1.29192 - 2.30888i) q^{7} +(4.59278 - 6.32141i) q^{8} +(0.104613 - 2.99818i) q^{9} +O(q^{10})\)	\(q+(-0.548566 + 2.58080i) q^{2} +(1.24592 - 1.20320i) q^{3} +(-4.53252 - 2.01801i) q^{4} +(-1.83369 + 1.27969i) q^{5} +(2.42176 + 3.87550i) q^{6} +(1.29192 - 2.30888i) q^{7} +(4.59278 - 6.32141i) q^{8} +(0.104613 - 2.99818i) q^{9} +(-2.29672 - 5.43437i) q^{10} +(0.677675 + 0.610182i) q^{11} +(-8.07521 + 2.93927i) q^{12} +(6.11287 + 1.98619i) q^{13} +(5.25007 + 4.60076i) q^{14} +(-0.744900 + 3.80067i) q^{15} +(7.15514 + 7.94659i) q^{16} +(-0.209818 + 1.99628i) q^{17} +(7.68031 + 1.91468i) q^{18} +(1.98926 + 4.46794i) q^{19} +(10.8936 - 2.09981i) q^{20} +(-1.16843 - 4.43111i) q^{21} +(-1.94651 + 1.41422i) q^{22} +(1.08278 - 5.09409i) q^{23} +(-1.88372 - 13.4020i) q^{24} +(1.72481 - 4.69308i) q^{25} +(-8.47928 + 14.6865i) q^{26} +(-3.47707 - 3.86134i) q^{27} +(-10.5150 + 7.85797i) q^{28} +(0.814861 + 1.12156i) q^{29} +(-9.40016 - 4.00736i) q^{30} +(4.53182 + 0.476314i) q^{31} +(-10.8999 + 6.29307i) q^{32} +(1.57850 - 0.0551450i) q^{33} +(-5.03691 - 1.63659i) q^{34} +(0.585675 + 5.88702i) q^{35} +(-6.52450 + 13.3782i) q^{36} +(4.18881 + 4.65215i) q^{37} +(-12.6221 + 2.68291i) q^{38} +(10.0059 - 4.88039i) q^{39} +(-0.332291 + 17.4688i) q^{40} +(0.856848 - 2.63711i) q^{41} +(12.0768 - 0.584736i) q^{42} -0.985777 q^{43} +(-1.84023 - 4.13322i) q^{44} +(3.64489 + 5.63158i) q^{45} +(12.5529 + 5.58889i) q^{46} +(-0.440317 - 4.18933i) q^{47} +(18.4761 + 1.29171i) q^{48} +(-3.66190 - 5.96578i) q^{49} +(11.1657 + 7.02586i) q^{50} +(2.14051 + 2.73965i) q^{51} +(-23.6986 - 21.3383i) q^{52} +(-2.32154 + 5.21426i) q^{53} +(11.8728 - 6.85543i) q^{54} +(-2.02348 - 0.251671i) q^{55} +(-8.66193 - 18.7709i) q^{56} +(7.85428 + 3.17320i) q^{57} +(-3.34153 + 1.48775i) q^{58} +(10.9944 - 2.33694i) q^{59} +(11.0461 - 15.7234i) q^{60} +(1.05298 - 4.95390i) q^{61} +(-3.71528 + 11.4345i) q^{62} +(-6.78729 - 4.11493i) q^{63} +(-3.65309 - 11.2430i) q^{64} +(-13.7508 + 4.18050i) q^{65} +(-0.723593 + 4.10404i) q^{66} +(-1.22455 + 11.6508i) q^{67} +(4.97952 - 8.62478i) q^{68} +(-4.78016 - 7.64961i) q^{69} +(-15.5145 - 1.71791i) q^{70} +(-3.14481 - 4.32846i) q^{71} +(-18.4722 - 14.4312i) q^{72} +(-10.2345 - 9.21516i) q^{73} +(-14.3041 + 8.25848i) q^{74} +(-3.49775 - 7.92248i) q^{75} -24.2654i q^{76} +(2.28434 - 0.776370i) q^{77} +(7.10640 + 28.5005i) q^{78} +(-0.152269 - 1.44874i) q^{79} +(-23.2894 - 5.41522i) q^{80} +(-8.97811 - 0.627293i) q^{81} +(6.33581 + 3.65798i) q^{82} +(10.3054 + 7.48729i) q^{83} +(-3.64608 + 22.4420i) q^{84} +(-2.16987 - 3.92906i) q^{85} +(0.540764 - 2.54410i) q^{86} +(2.36471 + 0.416928i) q^{87} +(6.96962 - 1.48144i) q^{88} +(-0.986410 - 0.209668i) q^{89} +(-16.5335 + 6.31745i) q^{90} +(12.4832 - 11.5479i) q^{91} +(-15.1876 + 20.9040i) q^{92} +(6.21937 - 4.85925i) q^{93} +(11.0534 + 1.16176i) q^{94} +(-9.36523 - 5.64718i) q^{95} +(-6.00855 + 20.9554i) q^{96} +(-2.19364 - 3.01929i) q^{97} +(17.4053 - 6.17801i) q^{98} +(1.90033 - 1.96796i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 608 q - 9 q^{3} - 78 q^{4} - 36 q^{7} - 3 q^{9}+O(q^{10}) \) 608 * q - 9 * q^3 - 78 * q^4 - 36 * q^7 - 3 * q^9	\( 608 q - 9 q^{3} - 78 q^{4} - 36 q^{7} - 3 q^{9} - 30 q^{10} + 3 q^{12} + 16 q^{15} + 50 q^{16} - 8 q^{18} - 18 q^{19} - 21 q^{21} - 24 q^{22} - 66 q^{24} - 10 q^{25} - 30 q^{28} - 7 q^{30} - 36 q^{31} + 36 q^{33} - 100 q^{36} - 14 q^{37} - 31 q^{39} - 30 q^{40} + 20 q^{42} - 96 q^{43} - 117 q^{45} + 42 q^{46} - 28 q^{49} - 8 q^{51} - 66 q^{52} + 3 q^{54} + 48 q^{57} - 38 q^{58} - 49 q^{60} - 18 q^{61} + 4 q^{63} - 32 q^{64} - 3 q^{66} - 22 q^{67} - 270 q^{70} + 45 q^{72} + 102 q^{73} + 135 q^{75} + 58 q^{78} - 34 q^{79} - 55 q^{81} + 108 q^{82} - 75 q^{84} - 96 q^{85} - 9 q^{87} + 36 q^{88} + 38 q^{91} - 22 q^{93} + 30 q^{94} - 81 q^{96} + 36 q^{99}+O(q^{100}) \) 608 * q - 9 * q^3 - 78 * q^4 - 36 * q^7 - 3 * q^9 - 30 * q^10 + 3 * q^12 + 16 * q^15 + 50 * q^16 - 8 * q^18 - 18 * q^19 - 21 * q^21 - 24 * q^22 - 66 * q^24 - 10 * q^25 - 30 * q^28 - 7 * q^30 - 36 * q^31 + 36 * q^33 - 100 * q^36 - 14 * q^37 - 31 * q^39 - 30 * q^40 + 20 * q^42 - 96 * q^43 - 117 * q^45 + 42 * q^46 - 28 * q^49 - 8 * q^51 - 66 * q^52 + 3 * q^54 + 48 * q^57 - 38 * q^58 - 49 * q^60 - 18 * q^61 + 4 * q^63 - 32 * q^64 - 3 * q^66 - 22 * q^67 - 270 * q^70 + 45 * q^72 + 102 * q^73 + 135 * q^75 + 58 * q^78 - 34 * q^79 - 55 * q^81 + 108 * q^82 - 75 * q^84 - 96 * q^85 - 9 * q^87 + 36 * q^88 + 38 * q^91 - 22 * q^93 + 30 * q^94 - 81 * q^96 + 36 * q^99

Introduction

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