LMFDB - Embedded newform 252.2.n.b.31.9

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [252,2,Mod(31,252)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(252, base_ring=CyclotomicField(6))

chi = DirichletCharacter(H, H._module([3, 2, 1]))

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

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

chi := DirichletCharacter("252.31");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 252 = 2^{2} \cdot 3^{2} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	252.n (of order $6$, degree $2$, minimal)

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

gp: f = lf[1] \\ Warning: the index may be different

Self dual:	no
Analytic conductor:	$2.01223013094$
Analytic rank:	$0$
Dimension:	$84$
Relative dimension:	$42$ over $\Q(\zeta_{6})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			31.9
Character	$\chi$	$=$	252.31
Dual form			252.2.n.b.187.9

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.16223 + 0.805738i) q^{2} +(1.39154 + 1.03131i) q^{3} +(0.701573 - 1.87291i) q^{4} +0.0505362i q^{5} +(-2.44827 - 0.0774077i) q^{6} +(-2.64573 - 0.0112150i) q^{7} +(0.693684 + 2.74204i) q^{8} +(0.872785 + 2.87023i) q^{9} +O(q^{10})$	\(q+(-1.16223 + 0.805738i) q^{2} +(1.39154 + 1.03131i) q^{3} +(0.701573 - 1.87291i) q^{4} +0.0505362i q^{5} +(-2.44827 - 0.0774077i) q^{6} +(-2.64573 - 0.0112150i) q^{7} +(0.693684 + 2.74204i) q^{8} +(0.872785 + 2.87023i) q^{9} +(-0.0407190 - 0.0587349i) q^{10} +5.22990i q^{11} +(2.90783 - 1.88270i) q^{12} +(3.10396 + 1.79207i) q^{13} +(3.08399 - 2.11873i) q^{14} +(-0.0521187 + 0.0703234i) q^{15} +(-3.01559 - 2.62797i) q^{16} +(3.76114 + 2.17150i) q^{17} +(-3.32704 - 2.63265i) q^{18} +(-1.88846 - 3.27091i) q^{19} +(0.0946499 + 0.0354549i) q^{20} +(-3.67008 - 2.74418i) q^{21} +(-4.21393 - 6.07837i) q^{22} +1.91752i q^{23} +(-1.86261 + 4.53108i) q^{24} +4.99745 q^{25} +(-5.05146 + 0.418172i) q^{26} +(-1.74559 + 4.89417i) q^{27} +(-1.87717 + 4.94734i) q^{28} +(-1.87339 - 3.24481i) q^{29} +(0.00391189 - 0.123726i) q^{30} +(0.388449 + 0.672814i) q^{31} +(5.62227 + 0.624534i) q^{32} +(-5.39367 + 7.27764i) q^{33} +(-6.12098 + 0.506709i) q^{34} +(0.000566762 - 0.133705i) q^{35} +(5.98802 + 0.379029i) q^{36} +(-5.64349 - 9.77481i) q^{37} +(4.83033 + 2.27996i) q^{38} +(2.47111 + 5.69490i) q^{39} +(-0.138573 + 0.0350562i) q^{40} +(-5.98295 - 3.45426i) q^{41} +(6.47658 + 0.232257i) q^{42} +(-0.0488634 + 0.0282113i) q^{43} +(9.79514 + 3.66916i) q^{44} +(-0.145051 + 0.0441073i) q^{45} +(-1.54502 - 2.22861i) q^{46} +(2.67070 - 4.62578i) q^{47} +(-1.48607 - 6.76695i) q^{48} +(6.99975 + 0.0593434i) q^{49} +(-5.80820 + 4.02663i) q^{50} +(2.99430 + 6.90065i) q^{51} +(5.53404 - 4.55617i) q^{52} +(0.804472 - 1.39339i) q^{53} +(-1.91463 - 7.09466i) q^{54} -0.264300 q^{55} +(-1.80455 - 7.26248i) q^{56} +(0.745459 - 6.49921i) q^{57} +(4.79179 + 2.26176i) q^{58} +(-3.83401 - 6.64069i) q^{59} +(0.0951444 + 0.146951i) q^{60} +(8.37680 + 4.83635i) q^{61} +(-0.993581 - 0.468979i) q^{62} +(-2.27696 - 7.60365i) q^{63} +(-7.03760 + 3.80422i) q^{64} +(-0.0905646 + 0.156862i) q^{65} +(0.404835 - 12.8042i) q^{66} +(8.22450 - 4.74842i) q^{67} +(6.70573 - 5.52082i) q^{68} +(-1.97757 + 2.66832i) q^{69} +(0.107073 + 0.155853i) q^{70} -10.8805i q^{71} +(-7.26487 + 4.38425i) q^{72} +(3.81483 + 2.20250i) q^{73} +(14.4350 + 6.81344i) q^{74} +(6.95416 + 5.15393i) q^{75} +(-7.45102 + 1.24214i) q^{76} +(0.0586531 - 13.8369i) q^{77} +(-7.46060 - 4.62774i) q^{78} +(-2.99533 - 1.72936i) q^{79} +(0.132808 - 0.152397i) q^{80} +(-7.47649 + 5.01020i) q^{81} +(9.73681 - 0.806036i) q^{82} +(5.85500 + 10.1412i) q^{83} +(-7.71443 + 4.94849i) q^{84} +(-0.109739 + 0.190074i) q^{85} +(0.0340597 - 0.0721591i) q^{86} +(0.739511 - 6.44735i) q^{87} +(-14.3406 + 3.62790i) q^{88} +(-4.18478 + 2.41609i) q^{89} +(0.133044 - 0.168136i) q^{90} +(-8.19213 - 4.77614i) q^{91} +(3.59135 + 1.34528i) q^{92} +(-0.153338 + 1.33686i) q^{93} +(0.623195 + 7.52812i) q^{94} +(0.165300 - 0.0954357i) q^{95} +(7.17955 + 6.66739i) q^{96} +(-1.35274 + 0.781004i) q^{97} +(-8.18316 + 5.57099i) q^{98} +(-15.0110 + 4.56458i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 84 q - q^{2} + q^{4} - 16 q^{8} - 14 q^{9}+O(q^{10}) $ 84 * q - q^2 + q^4 - 16 * q^8 - 14 * q^9	$ 84 q - q^{2} + q^{4} - 16 q^{8} - 14 q^{9} - 18 q^{10} + 9 q^{12} - 18 q^{13} - 25 q^{14} - 7 q^{16} + 6 q^{17} - 13 q^{18} + 24 q^{20} + 4 q^{21} + 6 q^{22} + 6 q^{24} - 32 q^{25} - 30 q^{26} - 4 q^{28} + 10 q^{29} + 14 q^{30} + 9 q^{32} - 6 q^{33} + 24 q^{34} - 38 q^{36} + 2 q^{37} - 6 q^{41} + 7 q^{42} - 13 q^{44} - 18 q^{45} + 10 q^{46} - 9 q^{48} + 2 q^{49} - 17 q^{50} - 2 q^{53} - 42 q^{54} - 32 q^{56} + 6 q^{57} + 26 q^{58} + 8 q^{60} - 24 q^{61} - 8 q^{64} + 50 q^{65} + 27 q^{66} + 18 q^{69} - 4 q^{70} - 7 q^{72} + 30 q^{73} + 46 q^{74} + 46 q^{77} + 15 q^{78} + 3 q^{80} - 26 q^{81} - 18 q^{82} + 29 q^{84} - 50 q^{85} + 18 q^{86} - 2 q^{88} - 102 q^{89} + 39 q^{90} + 28 q^{92} - 24 q^{93} + 3 q^{94} - 30 q^{96} - 6 q^{97} + 21 q^{98}+O(q^{100}) $ 84 * q - q^2 + q^4 - 16 * q^8 - 14 * q^9 - 18 * q^10 + 9 * q^12 - 18 * q^13 - 25 * q^14 - 7 * q^16 + 6 * q^17 - 13 * q^18 + 24 * q^20 + 4 * q^21 + 6 * q^22 + 6 * q^24 - 32 * q^25 - 30 * q^26 - 4 * q^28 + 10 * q^29 + 14 * q^30 + 9 * q^32 - 6 * q^33 + 24 * q^34 - 38 * q^36 + 2 * q^37 - 6 * q^41 + 7 * q^42 - 13 * q^44 - 18 * q^45 + 10 * q^46 - 9 * q^48 + 2 * q^49 - 17 * q^50 - 2 * q^53 - 42 * q^54 - 32 * q^56 + 6 * q^57 + 26 * q^58 + 8 * q^60 - 24 * q^61 - 8 * q^64 + 50 * q^65 + 27 * q^66 + 18 * q^69 - 4 * q^70 - 7 * q^72 + 30 * q^73 + 46 * q^74 + 46 * q^77 + 15 * q^78 + 3 * q^80 - 26 * q^81 - 18 * q^82 + 29 * q^84 - 50 * q^85 + 18 * q^86 - 2 * q^88 - 102 * q^89 + 39 * q^90 + 28 * q^92 - 24 * q^93 + 3 * q^94 - 30 * q^96 - 6 * q^97 + 21 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/252\mathbb{Z}\right)^\times$.

$n$	$29$	$73$	$127$
$\chi(n)$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{1}{6}\right)$	$-1$

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 $

$2$	−1.16223	+	0.805738i	−0.821823	+	0.569743i
$2$	−1.16223	+	0.805738i	−0.821823	+	0.569743i
$3$	1.39154	+	1.03131i	0.803408	+	0.595429i
$3$	1.39154	+	1.03131i	0.803408	+	0.595429i
$4$	0.701573	−	1.87291i	0.350786	−	0.936456i
$5$			0.0505362i			0.0226005i	0.999936	+	0.0113002i	$0.00359706\pi$
$5$			0.0505362i			0.0226005i	−0.999936	+	0.0113002i	$0.996403\pi$
$6$	−2.44827	−	0.0774077i	−0.999501	−	0.0316015i
$7$	−2.64573	−	0.0112150i	−0.999991	−	0.00423886i
$7$	−2.64573	−	0.0112150i	−0.999991	−	0.00423886i
$8$	0.693684	+	2.74204i	0.245254	+	0.969459i
$9$	0.872785	+	2.87023i	0.290928	+	0.956745i
$10$	−0.0407190	−	0.0587349i	−0.0128765	−	0.0185736i
$11$			5.22990i			1.57688i	0.615115	+	0.788438i	$0.289110\pi$
$11$			5.22990i			1.57688i	−0.615115	+	0.788438i	$0.710890\pi$
$12$	2.90783	−	1.88270i	0.839417	−	0.543487i
$13$	3.10396	+	1.79207i	0.860883	+	0.497031i	0.864308	−	0.502963i	$-0.167757\pi$
$13$	3.10396	+	1.79207i	0.860883	+	0.497031i	−0.00342470	+	0.999994i	$0.501090\pi$
$14$	3.08399	−	2.11873i	0.824231	−	0.566254i
$15$	−0.0521187	+	0.0703234i	−0.0134570	+	0.0181574i
$16$	−3.01559	−	2.62797i	−0.753898	−	0.656992i
$17$	3.76114	+	2.17150i	0.912211	+	0.526665i	0.881142	−	0.472852i	$-0.156776\pi$
$17$	3.76114	+	2.17150i	0.912211	+	0.526665i	0.0310689	+	0.999517i	$0.490109\pi$
$18$	−3.32704	−	2.63265i	−0.784190	−	0.620521i
$19$	−1.88846	−	3.27091i	−0.433243	−	0.750398i	0.563908	−	0.825838i	$-0.309297\pi$
$19$	−1.88846	−	3.27091i	−0.433243	−	0.750398i	−0.997150	+	0.0754395i	$0.975964\pi$
$20$	0.0946499	+	0.0354549i	0.0211644	+	0.00792795i
$21$	−3.67008	−	2.74418i	−0.800877	−	0.598829i
$22$	−4.21393	−	6.07837i	−0.898413	−	1.29591i
$23$			1.91752i			0.399831i	0.979813	+	0.199916i	$0.0640668\pi$
$23$			1.91752i			0.399831i	−0.979813	+	0.199916i	$0.935933\pi$
$24$	−1.86261	+	4.53108i	−0.380205	+	0.924902i
$25$	4.99745			0.999489
$26$	−5.05146	+	0.418172i	−0.990674	+	0.0820103i
$27$	−1.74559	+	4.89417i	−0.335939	+	0.941884i
$28$	−1.87717	+	4.94734i	−0.354753	+	0.934960i
$29$	−1.87339	−	3.24481i	−0.347880	−	0.602546i	0.637992	−	0.770043i	$-0.279765\pi$
$29$	−1.87339	−	3.24481i	−0.347880	−	0.602546i	−0.985873	+	0.167496i	$0.946432\pi$
$30$	0.00391189	−	0.123726i	0.000714211	−	0.0225892i
$31$	0.388449	+	0.672814i	0.0697676	+	0.120841i	0.898799	−	0.438361i	$-0.144441\pi$
$31$	0.388449	+	0.672814i	0.0697676	+	0.120841i	−0.829031	+	0.559202i	$0.811108\pi$
$32$	5.62227	+	0.624534i	0.993887	+	0.110403i
$33$	−5.39367	+	7.27764i	−0.938917	+	1.26687i
$34$	−6.12098	+	0.506709i	−1.04974	+	0.0868999i
$35$	0.000566762	−	0.133705i	9.58002e−5	−	0.0226003i
$36$	5.98802	+	0.379029i	0.998003	+	0.0631715i
$37$	−5.64349	−	9.77481i	−0.927784	−	1.60697i	−0.787021	−	0.616926i	$-0.788378\pi$
$37$	−5.64349	−	9.77481i	−0.927784	−	1.60697i	−0.140763	−	0.990043i	$-0.544956\pi$
$38$	4.83033	+	2.27996i	0.783583	+	0.369858i
$39$	2.47111	+	5.69490i	0.395694	+	0.911914i
$40$	−0.138573	+	0.0350562i	−0.0219102	+	0.00554287i
$41$	−5.98295	−	3.45426i	−0.934379	−	0.539464i	−0.0461854	−	0.998933i	$-0.514707\pi$
$41$	−5.98295	−	3.45426i	−0.934379	−	0.539464i	−0.888194	+	0.459469i	$0.848040\pi$
$42$	6.47658	+	0.232257i	0.999358	+	0.0358380i
$43$	−0.0488634	+	0.0282113i	−0.00745159	+	0.00430218i	−0.503721	−	0.863866i	$-0.668036\pi$
$43$	−0.0488634	+	0.0282113i	−0.00745159	+	0.00430218i	0.496270	+	0.868168i	$0.334703\pi$
$44$	9.79514	+	3.66916i	1.47667	+	0.553146i
$45$	−0.145051	+	0.0441073i	−0.0216229	+	0.00657513i
$46$	−1.54502	−	2.22861i	−0.227801	−	0.328590i
$47$	2.67070	−	4.62578i	0.389561	−	0.674739i	−0.602829	−	0.797870i	$-0.705960\pi$
$47$	2.67070	−	4.62578i	0.389561	−	0.674739i	0.992390	+	0.123131i	$0.0392934\pi$
$48$	−1.48607	−	6.76695i	−0.214496	−	0.976725i
$49$	6.99975	+	0.0593434i	0.999964	+	0.00847763i
$50$	−5.80820	+	4.02663i	−0.821403	+	0.569452i
$51$	2.99430	+	6.90065i	0.419286	+	0.966284i
$52$	5.53404	−	4.55617i	0.767434	−	0.631827i
$53$	0.804472	−	1.39339i	0.110503	−	0.191396i	−0.805470	−	0.592636i	$-0.798087\pi$
$53$	0.804472	−	1.39339i	0.110503	−	0.191396i	0.915973	+	0.401240i	$0.131421\pi$
$54$	−1.91463	−	7.09466i	−0.260549	−	0.965461i
$55$	−0.264300			−0.0356382
$56$	−1.80455	−	7.26248i	−0.241143	−	0.970490i
$57$	0.745459	−	6.49921i	0.0987384	−	0.860841i
$58$	4.79179	+	2.26176i	0.629193	+	0.296984i
$59$	−3.83401	−	6.64069i	−0.499145	−	0.864545i	0.500854	−	0.865532i	$-0.333019\pi$
$59$	−3.83401	−	6.64069i	−0.499145	−	0.864545i	−1.00000		0.000986903i	$0.999686\pi$
$60$	0.0951444	+	0.146951i	0.0122831	+	0.0189712i
$61$	8.37680	+	4.83635i	1.07254	+	0.619231i	0.928874	−	0.370395i	$-0.120778\pi$
$61$	8.37680	+	4.83635i	1.07254	+	0.619231i	0.143665	+	0.989626i	$0.454111\pi$
$62$	−0.993581	−	0.468979i	−0.126185	−	0.0595603i
$63$	−2.27696	−	7.60365i	−0.286870	−	0.957969i
$64$	−7.03760	+	3.80422i	−0.879701	+	0.475528i
$65$	−0.0905646	+	0.156862i	−0.0112332	+	0.0194564i
$66$	0.404835	−	12.8042i	0.0498317	−	1.57609i
$67$	8.22450	−	4.74842i	1.00478	−	0.580111i	0.0951227	−	0.995466i	$-0.469676\pi$
$67$	8.22450	−	4.74842i	1.00478	−	0.580111i	0.909660	+	0.415354i	$0.136342\pi$
$68$	6.70573	−	5.52082i	0.813189	−	0.669498i
$69$	−1.97757	+	2.66832i	−0.238071	+	0.321227i
$70$	0.107073	+	0.155853i	0.0127976	+	0.0186280i
$71$		−	10.8805i		−	1.29128i	−0.763643	−	0.645638i	$-0.776591\pi$
$71$		−	10.8805i		−	1.29128i	0.763643	−	0.645638i	$-0.223409\pi$
$72$	−7.26487	+	4.38425i	−0.856173	+	0.516689i
$73$	3.81483	+	2.20250i	0.446493	+	0.257783i	0.706348	−	0.707865i	$-0.250342\pi$
$73$	3.81483	+	2.20250i	0.446493	+	0.257783i	−0.259855	+	0.965648i	$0.583675\pi$
$74$	14.4350	+	6.81344i	1.67803	+	0.792046i
$75$	6.95416	+	5.15393i	0.802998	+	0.595125i
$76$	−7.45102	+	1.24214i	−0.854690	+	0.142483i
$77$	0.0586531	−	13.8369i	0.00668415	−	1.57686i
$78$	−7.46060	−	4.62774i	−0.844746	−	0.523988i
$79$	−2.99533	−	1.72936i	−0.337001	−	0.194568i	0.321944	−	0.946759i	$-0.395664\pi$
$79$	−2.99533	−	1.72936i	−0.337001	−	0.194568i	−0.658945	+	0.752191i	$0.728997\pi$
$80$	0.132808	−	0.152397i	0.0148483	−	0.0170385i
$81$	−7.47649	+	5.01020i	−0.830721	+	0.556689i
$82$	9.73681	−	0.806036i	1.07525	−	0.0890118i
$83$	5.85500	+	10.1412i	0.642670	+	1.11314i	0.984834	+	0.173497i	$0.0555067\pi$
$83$	5.85500	+	10.1412i	0.642670	+	1.11314i	−0.342165	+	0.939640i	$0.611160\pi$
$84$	−7.71443	+	4.94849i	−0.841714	+	0.539924i
$85$	−0.109739	+	0.190074i	−0.0119029	+	0.0206164i
$86$	0.0340597	−	0.0721591i	0.00367276	−	0.00778112i
$87$	0.739511	−	6.44735i	0.0792839	−	0.691229i
$88$	−14.3406	+	3.62790i	−1.52872	+	0.386736i
$89$	−4.18478	+	2.41609i	−0.443586	+	0.256105i	−0.705118	−	0.709090i	$-0.749106\pi$
$89$	−4.18478	+	2.41609i	−0.443586	+	0.256105i	0.261531	+	0.965195i	$0.415773\pi$
$90$	0.133044	−	0.168136i	0.0140241	−	0.0177231i
$91$	−8.19213	−	4.77614i	−0.858769	−	0.500676i
$92$	3.59135	+	1.34528i	0.374424	+	0.140255i
$93$	−0.153338	+	1.33686i	−0.0159004	+	0.138626i
$94$	0.623195	+	7.52812i	0.0642777	+	0.776466i
$95$	0.165300	−	0.0954357i	0.0169594	−	0.00979150i
$96$	7.17955	+	6.66739i	0.732759	+	0.680488i
$97$	−1.35274	+	0.781004i	−0.137350	+	0.0792989i	−0.567100	−	0.823649i	$-0.691935\pi$
$97$	−1.35274	+	0.781004i	−0.137350	+	0.0792989i	0.429751	+	0.902948i	$0.358601\pi$
$98$	−8.18316	+	5.57099i	−0.826624	+	0.562755i
$99$	−15.0110	+	4.56458i	−1.50867	+	0.458758i
$100$	3.50607	−	9.35977i	0.350607	−	0.935977i
$101$			8.05828i			0.801829i	0.916115	+	0.400915i	$0.131308\pi$
$101$			8.05828i			0.801829i	−0.916115	+	0.400915i	$0.868692\pi$
$102$	−9.04018	−	5.60754i	−0.895112	−	0.555229i
$103$	18.8184			1.85423			0.927117	−	0.374772i	$-0.122279\pi$
$103$	18.8184			1.85423			0.927117	+	0.374772i	$0.122279\pi$
$104$	−2.76077	+	9.75432i	−0.270716	+	0.956490i
$105$	0.138681	−	0.185472i	0.0135338	−	0.0181002i
$106$	0.187720	+	2.26763i	0.0182330	+	0.220252i
$107$	−7.30001	+	4.21466i	−0.705718	+	0.407447i	−0.809474	−	0.587156i	$-0.800247\pi$
$107$	−7.30001	+	4.21466i	−0.705718	+	0.407447i	0.103755	+	0.994603i	$0.466914\pi$
$108$	7.94169	+	6.70296i	0.764189	+	0.644992i
$109$	−4.25111	+	7.36314i	−0.407183	+	0.705261i	−0.994573	−	0.104043i	$-0.966822\pi$
$109$	−4.25111	+	7.36314i	−0.407183	+	0.705261i	0.587390	+	0.809304i	$0.300155\pi$
$110$	0.307178	−	0.212956i	0.0292883	−	0.0203046i
$111$	2.22773	−	19.4223i	0.211447	−	1.84348i
$112$	7.94896	+	6.98670i	0.751106	+	0.660181i
$113$	3.12743	−	5.41686i	0.294204	−	0.509576i	−0.680596	−	0.732659i	$-0.738279\pi$
$113$	3.12743	−	5.41686i	0.294204	−	0.509576i	0.974799	+	0.223084i	$0.0716123\pi$
$114$	4.37026	+	8.15424i	0.409313	+	0.763715i
$115$	−0.0969044			−0.00903638
$116$	−7.39157	+	1.23223i	−0.686290	+	0.114409i
$117$	−2.43458	+	10.4732i	−0.225077	+	0.968246i
$118$	9.80667	+	4.62883i	0.902777	+	0.426118i
$119$	−9.92660	−	5.78737i	−0.909970	−	0.530527i
$120$	−0.228984	−	0.0941295i	−0.0209033	−	0.00859281i
$121$	−16.3519			−1.48654
$122$	−13.6326	+	1.12854i	−1.23424	+	0.102173i
$123$	−4.76311	−	10.9770i	−0.429475	−	0.989766i
$124$	1.53265	−	0.255503i	0.137636	−	0.0229449i
$125$			0.505233i			0.0451894i
$126$	8.77291	+	7.00258i	0.781553	+	0.623839i
$127$		−	4.27467i		−	0.379316i	−0.981850	−	0.189658i	$-0.939262\pi$
$127$		−	4.27467i		−	0.379316i	0.981850	−	0.189658i	$-0.0607379\pi$
$128$	5.11413	−	10.0919i	0.452030	−	0.892003i
$129$	−0.0970901	−	0.0111362i	−0.00854831	−	0.000980490i
$130$	−0.0211328	−	0.255282i	−0.00185347	−	0.0223897i
$131$	3.55269			0.310400			0.155200	−	0.987883i	$-0.450398\pi$
$131$	3.55269			0.310400			0.155200	+	0.987883i	$0.450398\pi$
$132$	9.84631	+	15.2077i	0.857012	+	1.32366i
$133$	4.95967	+	8.67512i	0.430058	+	0.752228i
$134$	−5.73281	+	12.1456i	−0.495239	+	1.04922i
$135$	−0.247333	−	0.0882157i	−0.0212870	−	0.00759240i
$136$	−3.34529	+	11.8195i	−0.286856	+	1.01352i
$137$	17.3449			1.48188			0.740939	−	0.671572i	$-0.234381\pi$
$137$	17.3449			1.48188			0.740939	+	0.671572i	$0.234381\pi$
$138$	0.148431	−	4.69461i	0.0126353	−	0.399631i
$139$	−6.15856	+	10.6669i	−0.522362	+	0.904758i	0.477299	+	0.878741i	$0.341616\pi$
$139$	−6.15856	+	10.6669i	−0.522362	+	0.904758i	−0.999661	+	0.0260171i	$0.991718\pi$
$140$	−0.250020	−	0.0948654i	−0.0211306	−	0.00801759i
$141$	8.48702	−	3.68265i	0.714736	−	0.310135i
$142$	8.76683	+	12.6457i	0.735696	+	1.06120i
$143$	−9.37236	+	16.2334i	−0.783756	+	1.35751i
$144$	4.91092	−	10.9491i	0.409243	−	0.912425i
$145$	0.163981	−	0.0946743i	0.0136178	−	0.00786227i
$146$	−6.20836	+	0.513943i	−0.513808	+	0.0425342i
$147$	9.67925	+	7.30151i	0.798331	+	0.602219i
$148$	−22.2667	+	3.71201i	−1.83031	+	0.305126i
$149$	−19.0067			−1.55709			−0.778544	−	0.627590i	$-0.784041\pi$
$149$	−19.0067			−1.55709			−0.778544	+	0.627590i	$0.784041\pi$
$150$	−12.2351	−	0.386841i	−0.998990	−	0.0315854i
$151$		−	3.63048i		−	0.295444i	−0.989029	−	0.147722i	$-0.952806\pi$
$151$		−	3.63048i		−	0.295444i	0.989029	−	0.147722i	$-0.0471941\pi$
$152$	7.65898	−	7.44722i	0.621226	−	0.604049i
$153$	−2.95003	+	12.6906i	−0.238496	+	1.02597i
$154$	11.0807	+	16.1290i	0.892912	+	1.29971i
$155$	−0.0340015	+	0.0196308i	−0.00273107	+	0.00157678i
$156$	12.3997	−	0.632775i	0.992771	−	0.0506625i
$157$	12.3948	−	7.15617i	0.989216	−	0.571124i	0.0841763	−	0.996451i	$-0.473174\pi$
$157$	12.3948	−	7.15617i	0.989216	−	0.571124i	0.905040	+	0.425327i	$0.139841\pi$
$158$	4.87469	−	0.403538i	0.387809	−	0.0321038i
$159$	2.55648	−	1.10930i	0.202742	−	0.0879728i
$160$	−0.0315616	+	0.284129i	−0.00249516	+	0.0224623i
$161$	0.0215049	−	5.07324i	0.00169483	−	0.399827i
$162$	4.65252	−	11.8471i	0.365537	−	0.930797i
$163$	9.00577	−	5.19949i	0.705387	−	0.407255i	−0.103964	−	0.994581i	$-0.533153\pi$
$163$	9.00577	−	5.19949i	0.705387	−	0.407255i	0.809351	+	0.587326i	$0.199819\pi$
$164$	−10.6670	+	8.78212i	−0.832952	+	0.685768i
$165$	−0.367784	−	0.272576i	−0.0286320	−	0.0212200i
$166$	−14.9760	−	7.06880i	−1.16236	−	0.548645i
$167$	3.75211	−	6.49885i	0.290347	−	0.502896i	−0.683545	−	0.729909i	$-0.739563\pi$
$167$	3.75211	−	6.49885i	0.290347	−	0.502896i	0.973892	+	0.227013i	$0.0728958\pi$
$168$	4.97879	−	11.9671i	0.384122	−	0.923282i
$169$	−0.0769599	−	0.133299i	−0.00591999	−	0.0102537i
$170$	−0.0256072	−	0.309331i	−0.00196398	−	0.0237246i
$171$	7.74006	−	8.27513i	0.591897	−	0.632815i
$172$	0.0185560	+	0.111309i	0.00141488	+	0.00848723i
$173$	−18.8715	−	10.8955i	−1.43478	−	0.828368i	−0.437296	−	0.899318i	$-0.644064\pi$
$173$	−18.8715	−	10.8955i	−1.43478	−	0.828368i	−0.997480	+	0.0709496i	$0.977397\pi$
$174$	4.33539	+	8.08918i	0.328665	+	0.613239i
$175$	−13.2219	−	0.0560461i	−0.999480	−	0.00423669i
$176$	13.7440	−	15.7713i	1.03599	−	1.18880i
$177$	1.51345	−	13.1949i	0.113758	−	0.991787i
$178$	2.91696	−	6.17990i	0.218636	−	0.463203i
$179$	−11.5592	−	6.67370i	−0.863974	−	0.498815i	0.00136726	−	0.999999i	$-0.499565\pi$
$179$	−11.5592	−	6.67370i	−0.863974	−	0.498815i	−0.865341	+	0.501184i	$0.832898\pi$
$180$	−0.0191547	+	0.302612i	−0.00142771	+	0.0225554i
$181$			12.1295i			0.901577i	0.892631	+	0.450789i	$0.148857\pi$
$181$			12.1295i			0.901577i	−0.892631	+	0.450789i	$0.851143\pi$
$182$	13.3695	−	1.04972i	0.991012	−	0.0778102i
$183$	6.66889	+	15.3691i	0.492979	+	1.13612i
$184$	−5.25793	+	1.33016i	−0.387620	+	0.0980603i
$185$	0.493982	−	0.285201i	0.0363183	−	0.0209684i
$186$	−0.898947	−	1.67730i	−0.0659140	−	0.122985i
$187$	−11.3567	+	19.6704i	−0.830485	+	1.43844i
$188$	−6.78999	−	8.24730i	−0.495211	−	0.601496i
$189$	4.67325	−	12.9291i	0.339929	−	0.940451i
$190$	−0.115220	+	0.244107i	−0.00835897	+	0.0177094i
$191$	−4.07147	−	2.35066i	−0.294601	−	0.170088i	0.345414	−	0.938450i	$-0.387739\pi$
$191$	−4.07147	−	2.35066i	−0.294601	−	0.170088i	−0.640015	+	0.768362i	$0.721072\pi$
$192$	−13.7165	−	1.96423i	−0.989902	−	0.141756i
$193$	−13.4391	−	23.2771i	−0.967364	−	1.67552i	−0.703125	−	0.711067i	$-0.748212\pi$
$193$	−13.4391	−	23.2771i	−0.967364	−	1.67552i	−0.264240	−	0.964457i	$-0.585121\pi$
$194$	0.942913	−	1.99766i	0.0676972	−	0.143424i
$195$	−0.287799	+	0.124880i	−0.0206097	+	0.00894287i
$196$	5.02198	−	13.0683i	0.358713	−	0.933448i
$197$	−10.7756			−0.767727			−0.383863	−	0.923390i	$-0.625407\pi$
$197$	−10.7756			−0.767727			−0.383863	+	0.923390i	$0.625407\pi$
$198$	13.7685	−	17.4001i	0.978484	−	1.23657i
$199$	3.82846	−	6.63109i	0.271393	−	0.470066i	−0.697826	−	0.716267i	$-0.745849\pi$
$199$	3.82846	−	6.63109i	0.271393	−	0.470066i	0.969219	+	0.246201i	$0.0791825\pi$
$200$	3.46665	+	13.7032i	0.245129	+	0.968964i
$201$	16.3419	+	1.87441i	1.15267	+	0.132211i
$202$	−6.49286	−	9.36561i	−0.456836	−	0.658962i
$203$	4.92010	+	8.60590i	0.345323	+	0.604016i
$204$	15.0250	−	0.766748i	1.05196	−	0.0536831i
$205$	0.174565	−	0.302356i	0.0121922	−	0.0211174i
$206$	−21.8714	+	15.1627i	−1.52385	+	1.05644i
$207$	−5.50374	+	1.67359i	−0.382536	+	0.116322i
$208$	−4.65077	−	13.5613i	−0.322473	−	0.940304i
$209$	17.1065	−	9.87647i	1.18328	−	0.683170i
$210$	−0.0117374	+	0.327302i	−0.000809956	+	0.0225860i
$211$	4.47241	+	2.58215i	0.307894	+	0.177762i	0.645984	−	0.763351i	$-0.276447\pi$
$211$	4.47241	+	2.58215i	0.307894	+	0.177762i	−0.338090	+	0.941114i	$0.609781\pi$
$212$	−2.04529	−	2.48427i	−0.140471	−	0.170620i
$213$	11.2212	−	15.1407i	0.768864	−	1.03742i
$214$	5.08840	−	10.7803i	0.347836	−	0.736927i
$215$	−0.00142569	−	0.00246937i	−9.72314e−5	−	0.000168410i
$216$	−14.6309	−	1.39148i	−0.995508	−	0.0946784i
$217$	−1.02019	−	1.78444i	−0.0692547	−	0.121136i
$218$	−0.991979	−	11.9830i	−0.0671853	−	0.811590i
$219$	3.03704	+	6.99916i	0.205224	+	0.472959i
$220$	−0.185425	+	0.495010i	−0.0125014	+	0.0333736i
$221$	7.78295	+	13.4805i	0.523538	+	0.906794i
$222$	13.0601	+	24.3682i	0.876538	+	1.63549i
$223$	4.77887	+	8.27725i	0.320017	+	0.554286i	0.980491	−	0.196563i	$-0.0629781\pi$
$223$	4.77887	+	8.27725i	0.320017	+	0.554286i	−0.660474	+	0.750849i	$0.729645\pi$
$224$	−14.8680	−	1.71540i	−0.993410	−	0.114615i
$225$	4.36170	+	14.3438i	0.290780	+	0.956256i
$226$	0.729772	+	8.81554i	0.0485437	+	0.586401i
$227$	6.36696			0.422590			0.211295	−	0.977422i	$-0.432232\pi$
$227$	6.36696			0.422590			0.211295	+	0.977422i	$0.432232\pi$
$228$	−11.6494	−	5.95585i	−0.771503	−	0.394435i
$229$			19.6505i			1.29854i	0.760558	+	0.649270i	$0.224925\pi$
$229$			19.6505i			1.29854i	−0.760558	+	0.649270i	$0.775075\pi$
$230$	0.112626	−	0.0780795i	0.00742631	−	0.00514841i
$231$	14.3518	−	19.1942i	0.944279	−	1.26288i
$232$	7.59787	−	7.38780i	0.498825	−	0.485033i
$233$	4.26861	+	7.39344i	0.279646	+	0.484360i	0.971297	−	0.237871i	$-0.0764497\pi$
$233$	4.26861	+	7.39344i	0.279646	+	0.484360i	−0.691651	+	0.722232i	$0.743116\pi$
$234$	−5.60910	−	14.1339i	−0.366678	−	0.923963i
$235$	0.233770	+	0.134967i	0.0152494	+	0.00880427i
$236$	−15.1273	+	2.52182i	−0.984701	+	0.164157i
$237$	−2.38463	−	5.49560i	−0.154898	−	0.356978i
$238$	16.2001	−	1.27197i	1.05010	−	0.0824494i
$239$	−1.65881	−	0.957717i	−0.107300	−	0.0619496i	0.445390	−	0.895337i	$-0.353065\pi$
$239$	−1.65881	−	0.957717i	−0.107300	−	0.0619496i	−0.552690	+	0.833387i	$0.686398\pi$
$240$	0.341976	−	0.0751003i	0.0220745	−	0.00484770i
$241$		−	10.6347i		−	0.685041i	−0.939510	−	0.342520i	$-0.888719\pi$
$241$		−	10.6347i		−	0.685041i	0.939510	−	0.342520i	$-0.111281\pi$
$242$	19.0047	−	13.1753i	1.22167	−	0.846943i
$243$	−15.5709	−	0.738700i	−0.998877	−	0.0473877i
$244$	14.9350	−	12.2960i	0.956114	−	0.787168i
$245$	−0.00299899	+	0.353741i	−0.000191599	+	0.0225997i
$246$	14.3805	+	8.92006i	0.916865	+	0.568723i
$247$		−	13.5370i		−	0.861340i
$248$	−1.57542	+	1.53187i	−0.100040	+	0.0972736i
$249$	−2.31123	+	20.1502i	−0.146468	+	1.27697i
$250$	−0.407086	−	0.587199i	−0.0257464	−	0.0371377i
$251$	21.4032			1.35096			0.675478	−	0.737380i	$-0.263937\pi$
$251$	21.4032			1.35096			0.675478	+	0.737380i	$0.263937\pi$
$252$	−15.8384	−	1.06996i	−0.997726	−	0.0674013i
$253$	−10.0285			−0.630484
$254$	3.44427	+	4.96817i	0.216113	+	0.311731i
$255$	−0.348733	+	0.151321i	−0.0218385	+	0.00947606i
$256$	2.18758	+	15.8497i	0.136724	+	0.990609i
$257$			16.9279i			1.05593i	0.849265	+	0.527967i	$0.177046\pi$
$257$			16.9279i			1.05593i	−0.849265	+	0.527967i	$0.822954\pi$
$258$	0.121814	−	0.0652863i	0.00758383	−	0.00406455i
$259$	14.8215	+	25.9248i	0.920964	+	1.61089i
$260$	0.230252	+	0.279670i	0.0142796	+	0.0173444i
$261$	7.67830	−	8.20910i	0.475275	−	0.508131i
$262$	−4.12905	+	2.86254i	−0.255094	+	0.176848i
$263$			4.32708i			0.266819i	0.991061	+	0.133410i	$0.0425926\pi$
$263$			4.32708i			0.266819i	−0.991061	+	0.133410i	$0.957407\pi$
$264$	−23.6971	−	9.74129i	−1.45846	−	0.599535i
$265$	0.0704165	+	0.0406550i	0.00432565	+	0.00249742i
$266$	−12.7542	−	6.08632i	−0.782008	−	0.373176i
$267$	−8.31505	−	0.953736i	−0.508873	−	0.0583677i
$268$	−3.12328	−	18.7351i	−0.190785	−	1.14443i
$269$	9.06437	+	5.23332i	0.552665	+	0.319081i	0.750196	−	0.661216i	$-0.229959\pi$
$269$	9.06437	+	5.23332i	0.552665	+	0.319081i	−0.197531	+	0.980297i	$0.563292\pi$
$270$	0.358537	−	0.0967583i	0.0218199	−	0.00588853i
$271$	−5.69282	−	9.86025i	−0.345814	−	0.598967i	0.639687	−	0.768635i	$-0.279064\pi$
$271$	−5.69282	−	9.86025i	−0.345814	−	0.598967i	−0.985501	+	0.169668i	$0.945731\pi$
$272$	−5.63545	−	16.4325i	−0.341699	−	0.996366i
$273$	−6.47400	−	15.0949i	−0.391825	−	0.913583i
$274$	−20.1589	+	13.9755i	−1.21784	+	0.844290i
$275$			26.1362i			1.57607i
$276$	3.61011	+	5.57582i	0.217303	+	0.335625i
$277$	−16.0304			−0.963173			−0.481587	−	0.876398i	$-0.659939\pi$
$277$	−16.0304			−0.963173			−0.481587	+	0.876398i	$0.659939\pi$
$278$	−1.43707	−	17.3597i	−0.0861899	−	1.04116i
$279$	−1.59210	+	1.70216i	−0.0953166	+	0.101906i
$280$	0.367018	−	0.0911951i	0.0219335	−	0.00544995i
$281$	1.06628	+	1.84684i	0.0636086	+	0.110173i	0.896076	−	0.443901i	$-0.146406\pi$
$281$	1.06628	+	1.84684i	0.0636086	+	0.110173i	−0.832467	+	0.554074i	$0.813072\pi$
$282$	−6.89664	+	11.1184i	−0.410689	+	0.662092i
$283$	10.9868	+	19.0297i	0.653096	+	1.13120i	0.982367	+	0.186961i	$0.0598637\pi$
$283$	10.9868	+	19.0297i	0.653096	+	1.13120i	−0.329271	+	0.944235i	$0.606803\pi$
$284$	−20.3782	−	7.63346i	−1.20922	−	0.452962i
$285$	0.328446	+	0.0376727i	0.0194554	+	0.00223154i
$286$	−2.18700	−	26.4187i	−0.129320	−	1.56217i
$287$	15.7905	+	9.20612i	0.932084	+	0.543420i
$288$	3.11448	+	16.6823i	0.183522	+	0.983016i
$289$	0.930787	+	1.61217i	0.0547522	+	0.0948336i
$290$	−0.114301	+	0.242159i	−0.00671199	+	0.0142201i
$291$	−2.68785	−	0.308296i	−0.157565	−	0.0180727i
$292$	6.80146	−	5.59963i	0.398025	−	0.327694i
$293$	22.3321	+	12.8935i	1.30466	+	0.753244i	0.981199	−	0.192998i	$-0.0618212\pi$
$293$	22.3321	+	12.8935i	1.30466	+	0.753244i	0.323458	+	0.946242i	$0.395154\pi$
$294$	−17.1327	−	0.687123i	−0.999197	−	0.0400738i
$295$	0.335596	−	0.193756i	0.0195391	−	0.0112809i
$296$	22.8882	−	22.2553i	1.33035	−	1.29356i
$297$	−25.5960	−	9.12928i	−1.48523	−	0.529735i
$298$	22.0902	−	15.3144i	1.27965	−	0.887140i
$299$	−3.43634	+	5.95191i	−0.198729	+	0.344208i
$300$	14.5317	−	9.40867i	0.838989	−	0.543210i
$301$	0.129596	−	0.0740913i	0.00746976	−	0.00427055i
$302$	2.92522	+	4.21947i	0.168327	+	0.242803i
$303$	−8.31062	+	11.2134i	−0.477432	+	0.644196i
$304$	−2.90102	+	14.8265i	−0.166385	+	0.850361i
$305$	−0.244411	+	0.423332i	−0.0139949	+	0.0242399i
$306$	−6.79668	−	17.1264i	−0.388540	−	0.979051i
$307$	−10.6177			−0.605983			−0.302991	−	0.952993i	$-0.597985\pi$
$307$	−10.6177			−0.605983			−0.302991	+	0.952993i	$0.597985\pi$
$308$	−25.8741	−	9.81744i	−1.47432	−	0.559401i
$309$	26.1866	+	19.4077i	1.48971	+	1.10406i
$310$	0.0237004	−	0.0502118i	0.00134609	−	0.00285184i
$311$	−11.3382	−	19.6384i	−0.642931	−	1.11359i	−0.984775	−	0.173833i	$-0.944385\pi$
$311$	−11.3382	−	19.6384i	−0.642931	−	1.11359i	0.341844	−	0.939757i	$-0.388948\pi$
$312$	−13.9015	+	10.7263i	−0.787017	+	0.607259i
$313$	−23.2555	−	13.4266i	−1.31448	−	0.758915i	−0.331644	−	0.943404i	$-0.607603\pi$
$313$	−23.2555	−	13.4266i	−1.31448	−	0.758915i	−0.982834	+	0.184490i	$0.940937\pi$
$314$	−8.63971	+	18.3041i	−0.487567	+	1.03296i
$315$	0.384260	−	0.115069i	0.0216506	−	0.00648341i
$316$	−5.34038	+	4.39673i	−0.300420	+	0.247335i
$317$	0.0205535	−	0.0355997i	0.00115440	−	0.00199948i	−0.865448	−	0.500999i	$-0.832966\pi$
$317$	0.0205535	−	0.0355997i	0.00115440	−	0.00199948i	0.866602	+	0.499000i	$0.166299\pi$
$318$	−2.07742	+	3.34911i	−0.116496	+	0.187809i
$319$	16.9701	−	9.79766i	0.950141	−	0.548564i
$320$	−0.192251	−	0.355654i	−0.0107472	−	0.0198817i
$321$	−14.5049	−	1.66371i	−0.809585	−	0.0928593i
$322$	4.06271	+	5.91362i	0.226406	+	0.329553i
$323$		−	16.4031i		−	0.912695i
$324$	4.13835	+	17.5178i	0.229908	+	0.973212i
$325$	15.5119	+	8.95578i	0.860444	+	0.496777i
$326$	−6.27739	+	13.2993i	−0.347672	+	0.736581i
$327$	−13.5093	+	5.86190i	−0.747067	+	0.324164i
$328$	5.32144	−	18.8017i	0.293828	−	1.03815i
$329$	−7.11781	+	12.2086i	−0.392418	+	0.673082i
$330$	0.647076	+	0.0204588i	0.0356204	+	0.00112622i
$331$	−11.5470	−	6.66665i	−0.634679	−	0.366432i	0.147883	−	0.989005i	$-0.452754\pi$
$331$	−11.5470	−	6.66665i	−0.634679	−	0.366432i	−0.782562	+	0.622573i	$0.786087\pi$
$332$	23.1012	−	3.85114i	1.26784	−	0.211359i
$333$	23.1304	−	24.7295i	1.26754	−	1.35517i
$334$	0.875540	+	10.5764i	0.0479074	+	0.578715i
$335$	0.239967	+	0.415635i	0.0131108	+	0.0227086i
$336$	3.85584	+	17.9202i	0.210353	+	0.977625i
$337$	5.08171	−	8.80178i	0.276818	−	0.479463i	−0.693774	−	0.720193i	$-0.744053\pi$
$337$	5.08171	−	8.80178i	0.276818	−	0.479463i	0.970592	+	0.240729i	$0.0773866\pi$
$338$	0.196849	+	0.0929144i	0.0107072	+	0.00505388i
$339$	9.93843	−	4.31244i	0.539782	−	0.234220i
$340$	0.279002	+	0.338883i	0.0151310	+	0.0183785i
$341$	−3.51875	+	2.03155i	−0.190551	+	0.110015i
$342$	−2.32817	+	15.8541i	−0.125893	+	0.857291i
$343$	−18.5188	−	0.235508i	−0.999919	−	0.0127163i
$344$	−0.111252	−	0.114416i	−0.00599832	−	0.00616888i
$345$	−0.134847	−	0.0999388i	−0.00725990	−	0.00538052i
$346$	30.7120	−	2.54241i	1.65109	−	0.136681i
$347$	1.11778	−	0.645351i	0.0600056	−	0.0346443i	−0.469697	−	0.882828i	$-0.655637\pi$
$347$	1.11778	−	0.645351i	0.0600056	−	0.0346443i	0.529703	+	0.848183i	$0.322304\pi$
$348$	−11.5565	−	5.90832i	−0.619493	−	0.316719i
$349$	10.7860	−	6.22732i	0.577363	−	0.333341i	−0.182722	−	0.983165i	$-0.558491\pi$
$349$	10.7860	−	6.22732i	0.577363	−	0.333341i	0.760085	+	0.649824i	$0.225157\pi$
$350$	15.4121	−	10.5882i	0.823810	−	0.565965i
$351$	−14.1890	+	12.0631i	−0.757350	+	0.643879i
$352$	−3.26625	+	29.4039i	−0.174092	+	1.56724i
$353$			15.7562i			0.838618i	0.907844	+	0.419309i	$0.137728\pi$
$353$			15.7562i			0.838618i	−0.907844	+	0.419309i	$0.862272\pi$
$354$	8.87263	+	16.5550i	0.471575	+	0.879887i
$355$	0.549859			0.0291835
$356$	1.58918	+	9.53279i	0.0842266	+	0.505237i
$357$	−7.84471	−	18.2908i	−0.415186	−	0.968052i
$358$	18.8117	−	1.55728i	0.994230	−	0.0823047i
$359$	2.40165	−	1.38659i	0.126754	−	0.0731815i	−0.435282	−	0.900294i	$-0.643351\pi$
$359$	2.40165	−	1.38659i	0.126754	−	0.0731815i	0.562036	+	0.827113i	$0.310018\pi$
$360$	−0.221564	−	0.367139i	−0.0116774	−	0.0193499i
$361$	2.36743	−	4.10051i	0.124602	−	0.215816i
$362$	−9.77318	−	14.0973i	−0.513667	−	0.740937i
$363$	−22.7544	−	16.8639i	−1.19429	−	0.885126i
$364$	−14.6927	+	11.9923i	−0.770105	+	0.628568i
$365$	−0.111306	+	0.192787i	−0.00582601	+	0.0100910i
$366$	−20.1343	−	12.4891i	−1.05244	−	0.652816i
$367$	−26.3413			−1.37500			−0.687502	−	0.726183i	$-0.741293\pi$
$367$	−26.3413			−1.37500			−0.687502	+	0.726183i	$0.741293\pi$
$368$	5.03919	−	5.78246i	0.262686	−	0.301432i
$369$	4.69270	−	20.1873i	0.244292	−	1.05091i
$370$	−0.344326	+	0.729490i	−0.0179006	+	0.0379244i
$371$	−2.14404	+	3.67750i	−0.111313	+	0.190926i
$372$	2.39625	+	1.22510i	0.124240	+	0.0635182i
$373$	−2.78093			−0.143991			−0.0719956	−	0.997405i	$-0.522937\pi$
$373$	−2.78093			−0.143991			−0.0719956	+	0.997405i	$0.522937\pi$
$374$	−2.65004	−	32.0121i	−0.137030	−	1.65531i
$375$	−0.521054	+	0.703054i	−0.0269071	+	0.0363056i
$376$	14.5367	+	4.11433i	0.749674	+	0.212180i
$377$		−	13.4290i		−	0.691630i
$378$	4.98603	+	18.7920i	0.256454	+	0.966557i
$379$			30.8673i			1.58555i	0.609517	+	0.792773i	$0.291363\pi$
$379$			30.8673i			1.58555i	−0.609517	+	0.792773i	$0.708637\pi$
$380$	−0.0627730	−	0.376546i	−0.00322019	−	0.0193164i
$381$	4.40853	−	5.94839i	0.225856	−	0.304745i
$382$	6.62601	−	0.548517i	0.339016	−	0.0280646i
$383$	9.68497			0.494879			0.247439	−	0.968903i	$-0.420411\pi$
$383$	9.68497			0.494879			0.247439	+	0.968903i	$0.420411\pi$
$384$	17.5244	−	8.76899i	0.894289	−	0.447491i
$385$	0.699265	+	0.00296411i	0.0356378	+	0.000151065i
$386$	34.3746	+	16.2251i	1.74962	+	0.825835i
$387$	−0.123620	−	0.115627i	−0.00628397	−	0.00587765i
$388$	0.513706	+	3.08149i	0.0260795	+	0.156439i
$389$	−18.0908			−0.917240			−0.458620	−	0.888633i	$-0.651656\pi$
$389$	−18.0908			−0.917240			−0.458620	+	0.888633i	$0.651656\pi$
$390$	0.233869	−	0.377031i	0.0118424	−	0.0190917i
$391$	−4.16389	+	7.21207i	−0.210577	+	0.364730i
$392$	4.69289	+	19.2348i	0.237027	+	0.971503i
$393$	4.94372	+	3.66394i	0.249378	+	0.184821i
$394$	12.5237	−	8.68228i	0.630936	−	0.437407i
$395$	0.0873952	−	0.151373i	0.00439733	−	0.00761640i
$396$	−1.98229	+	31.3167i	−0.0996136	+	1.57373i
$397$	−12.7403	+	7.35561i	−0.639417	+	0.369168i	−0.784390	−	0.620268i	$-0.787024\pi$
$397$	−12.7403	+	7.35561i	−0.639417	+	0.369168i	0.144973	+	0.989436i	$0.453691\pi$
$398$	0.893356	+	10.7916i	0.0447799	+	0.540935i
$399$	−2.04517	+	17.1868i	−0.102386	+	0.860415i
$400$	−15.0703	−	13.1331i	−0.753513	−	0.656656i
$401$	30.3947			1.51784			0.758920	−	0.651184i	$-0.225727\pi$
$401$	30.3947			1.51784			0.758920	+	0.651184i	$0.225727\pi$
$402$	−20.5033	+	10.9887i	−1.02261	+	0.548069i
$403$			2.78452i			0.138707i
$404$	15.0924	+	5.65347i	0.750877	+	0.281271i
$405$	−0.253197	−	0.377834i	−0.0125814	−	0.0187747i
$406$	−12.6524	−	6.03775i	−0.627928	−	0.299649i
$407$	51.1213	−	29.5149i	2.53399	−	1.46300i
$408$	−16.8448	+	12.9974i	−0.833940	+	0.643465i
$409$	−9.85015	+	5.68698i	−0.487058	+	0.281203i	−0.723353	−	0.690478i	$-0.757400\pi$
$409$	−9.85015	+	5.68698i	−0.487058	+	0.281203i	0.236295	+	0.971681i	$0.424067\pi$
$410$	0.0407340	+	0.492062i	0.00201171	+	0.0243012i
$411$	24.1362	+	17.8881i	1.19055	+	0.882354i
$412$	13.2025	−	35.2452i	0.650440	−	1.73641i
$413$	10.0693	+	17.6125i	0.495476	+	0.866653i
$414$	5.04816	−	6.37967i	0.248103	−	0.313544i
$415$	−0.512496	+	0.295890i	−0.0251574	+	0.0145247i
$416$	16.3321	+	12.0140i	0.800747	+	0.589037i
$417$	−19.5709	+	8.49210i	−0.958389	+	0.415860i
$418$	−11.9240	+	25.2622i	−0.583220	+	1.23561i
$419$	14.8727	−	25.7603i	0.726580	−	1.25847i	−0.231740	−	0.972778i	$-0.574442\pi$
$419$	14.8727	−	25.7603i	0.726580	−	1.25847i	0.958320	−	0.285696i	$-0.0922249\pi$
$420$	−0.250078	−	0.389858i	−0.0122026	−	0.0190231i
$421$	2.71908	+	4.70958i	0.132520	+	0.229531i	0.924647	−	0.380825i	$-0.124360\pi$
$421$	2.71908	+	4.70958i	0.132520	+	0.229531i	−0.792127	+	0.610356i	$0.791027\pi$
$422$	−7.27852	+	0.602533i	−0.354313	+	0.0293309i
$423$	15.6080	+	3.62821i	0.758888	+	0.176410i
$424$	4.37878	+	1.23933i	0.212652	+	0.0601871i
$425$	18.7961	+	10.8519i	0.911745	+	0.526396i
$426$	−0.842233	+	26.6383i	−0.0408063	+	1.29063i
$427$	−22.1085	−	12.8896i	−1.06990	−	0.623772i
$428$	2.77220	+	16.6292i	0.133999	+	0.803800i
$429$	−29.7838	+	12.9236i	−1.43797	+	0.623959i
$430$	0.00364665	+	0.00172125i	0.000175857	+	8.30061e-5i
$431$	13.3267	+	7.69416i	0.641924	+	0.370615i	0.785355	−	0.619046i	$-0.212480\pi$
$431$	13.3267	+	7.69416i	0.641924	+	0.370615i	−0.143432	+	0.989660i	$0.545814\pi$
$432$	18.1257	−	10.1715i	0.872074	−	0.489375i
$433$		−	20.3869i		−	0.979730i	−0.871798	−	0.489865i	$-0.837046\pi$
$433$		−	20.3869i		−	0.979730i	0.871798	−	0.489865i	$-0.162954\pi$
$434$	2.62348	+	1.25193i	0.125931	+	0.0600947i
$435$	0.325825	+	0.0373721i	0.0156221	+	0.00179185i
$436$	10.8080	+	13.1277i	0.517612	+	0.628705i
$437$	6.27204	−	3.62117i	0.300033	−	0.173224i
$438$	−9.16924	−	5.68759i	−0.438123	−	0.271764i
$439$	2.19624	−	3.80401i	0.104821	−	0.181555i	−0.808844	−	0.588023i	$-0.799906\pi$
$439$	2.19624	−	3.80401i	0.104821	−	0.181555i	0.913665	+	0.406468i	$0.133240\pi$
$440$	−0.183341	−	0.724721i	−0.00874042	−	0.0345497i
$441$	5.93895	+	20.1427i	0.282807	+	0.959177i
$442$	−19.9073	−	9.39643i	−0.946895	−	0.446943i
$443$	−32.3676	−	18.6875i	−1.53783	−	0.887868i	−0.998965	−	0.0454762i	$-0.985519\pi$
$443$	−32.3676	−	18.6875i	−1.53783	−	0.887868i	−0.538866	−	0.842391i	$-0.681147\pi$
$444$	−34.8133	−	17.7985i	−1.65217	−	0.844679i
$445$	−0.122100	−	0.211483i	−0.00578809	−	0.0100253i
$446$	−12.2235	−	5.76958i	−0.578798	−	0.273197i
$447$	−26.4486	−	19.6018i	−1.25098	−	0.927136i
$448$	18.6622	−	9.98601i	0.881708	−	0.471795i
$449$	−17.3678			−0.819635			−0.409818	−	0.912167i	$-0.634408\pi$
$449$	−17.3678			−0.819635			−0.409818	+	0.912167i	$0.634408\pi$
$450$	−16.6267	−	13.1565i	−0.783790	−	0.620204i
$451$	18.0654	−	31.2902i	0.850668	−	1.47340i
$452$	−7.95118	−	9.65772i	−0.373992	−	0.454261i
$453$	3.74416	−	5.05197i	0.175916	−	0.237362i
$454$	−7.39990	+	5.13010i	−0.347294	+	0.240768i
$455$	0.241368	−	0.414000i	0.0113155	−	0.0194086i
$456$	18.3382	−	2.46432i	0.858766	−	0.115402i
$457$	−14.7147	+	25.4866i	−0.688324	+	1.19221i	0.284056	+	0.958808i	$0.408320\pi$
$457$	−14.7147	+	25.4866i	−0.688324	+	1.19221i	−0.972380	+	0.233404i	$0.925014\pi$
$458$	−15.8331	−	22.8384i	−0.739834	−	1.06717i
$459$	−17.1931	+	14.6171i	−0.802505	+	0.682269i
$460$	−0.0679855	+	0.181493i	−0.00316984	+	0.00846217i
$461$	−29.5025	+	17.0333i	−1.37407	+	0.793319i	−0.991438	−	0.130582i	$-0.958316\pi$
$461$	−29.5025	+	17.0333i	−1.37407	+	0.793319i	−0.382632	+	0.923901i	$0.624982\pi$
$462$	−1.21468	+	33.8719i	−0.0565120	+	1.57586i
$463$	20.8208	+	12.0209i	0.967625	+	0.558658i	0.898511	−	0.438950i	$-0.144650\pi$
$463$	20.8208	+	12.0209i	0.967625	+	0.558658i	0.0691135	+	0.997609i	$0.477983\pi$
$464$	−2.87787	+	14.7082i	−0.133602	+	0.682813i
$465$	−0.0675600	−	0.00774913i	−0.00313302	−	0.000359357i
$466$	−10.9183	−	5.15353i	−0.505780	−	0.238733i
$467$	−11.6414	−	20.1634i	−0.538698	−	0.933052i	−0.998975	−	0.0452762i	$-0.985583\pi$
$467$	−11.6414	−	20.1634i	−0.538698	−	0.933052i	0.460277	−	0.887775i	$-0.347750\pi$
$468$	17.9073	+	11.9074i	0.827766	+	0.550422i
$469$	−21.8130	+	12.4708i	−1.00723	+	0.575847i
$470$	−0.380443	+	0.0314939i	−0.0175485	+	0.00145271i
$471$	24.6282	+	2.82485i	1.13481	+	0.130162i
$472$	15.5495	−	15.1196i	0.715723	−	0.695934i
$473$	−0.147542	−	0.255551i	−0.00678400	−	0.0117502i
$474$	7.19951	+	4.46579i	0.330685	+	0.205120i
$475$	−9.43748	−	16.3462i	−0.433021	−	0.750015i
$476$	−17.8035	+	14.5314i	−0.816020	+	0.666045i
$477$	4.70148	+	1.09290i	0.215266	+	0.0500403i
$478$	2.69960	−	0.223479i	0.123477	−	0.0102217i
$479$	−20.9740			−0.958329			−0.479164	−	0.877725i	$-0.659060\pi$
$479$	−20.9740			−0.958329			−0.479164	+	0.877725i	$0.659060\pi$
$480$	−0.336945	+	0.362827i	−0.0153794	+	0.0165607i
$481$		−	40.4542i		−	1.84455i
$482$	8.56877	+	12.3600i	0.390297	+	0.562982i
$483$	5.26203	−	7.03746i	0.239431	−	0.320215i
$484$	−11.4720	+	30.6256i	−0.521456	+	1.39207i
$485$	−0.0394690	−	0.0683623i	−0.00179219	−	0.00310417i
$486$	18.6923	−	11.6876i	0.847899	−	0.530158i
$487$	17.7169	+	10.2289i	0.802830	+	0.463514i	0.844460	−	0.535619i	$-0.179922\pi$
$487$	17.7169	+	10.2289i	0.802830	+	0.463514i	−0.0416298	+	0.999133i	$0.513255\pi$
$488$	−7.45062	+	26.3244i	−0.337274	+	1.19165i
$489$	17.8942	+	2.05247i	0.809205	+	0.0928157i
$490$	−0.281537	−	0.413546i	−0.0127185	−	0.0186821i
$491$	−14.6614	−	8.46477i	−0.661660	−	0.382010i	0.131249	−	0.991349i	$-0.458101\pi$
$491$	−14.6614	−	8.46477i	−0.661660	−	0.382010i	−0.792909	+	0.609340i	$0.791435\pi$
$492$	−23.9007	+	1.21969i	−1.07753	+	0.0549877i
$493$		−	16.2723i		−	0.732866i
$494$	10.9073	+	15.7332i	0.490743	+	0.707870i
$495$	−0.230677	−	0.758602i	−0.0103682	−	0.0340966i
$496$	0.596728	−	3.04976i	0.0267939	−	0.136938i
$497$	−0.122024	+	28.7868i	−0.00547354	+	1.29127i
$498$	−13.5496	−	25.2815i	−0.607172	−	1.13289i
$499$		−	29.1419i		−	1.30457i	−0.757974	−	0.652285i	$-0.773810\pi$
$499$		−	29.1419i		−	1.30457i	0.757974	−	0.652285i	$-0.226190\pi$
$500$	0.946257	+	0.354458i	0.0423179	+	0.0158518i
$501$	11.9236	−	5.17383i	0.532706	−	0.231150i
$502$	−24.8755	+	17.2453i	−1.11025	+	0.769698i
$503$	18.6831			0.833038			0.416519	−	0.909127i	$-0.363250\pi$
$503$	18.6831			0.833038			0.416519	+	0.909127i	$0.363250\pi$
$504$	19.2700	−	11.5181i	0.858356	−	0.513055i
$505$	−0.407235			−0.0181217
$506$	11.6554	−	8.08031i	0.518146	−	0.359214i
$507$	0.0303795	−	0.264860i	0.00134920	−	0.0117629i
$508$	−8.00608	−	2.99899i	−0.355213	−	0.133059i
$509$			3.48132i			0.154307i	0.997019	+	0.0771534i	$0.0245831\pi$
$509$			3.48132i			0.154307i	−0.997019	+	0.0771534i	$0.975417\pi$
$510$	0.283384	−	0.456857i	0.0125485	−	0.0202300i
$511$	−10.0683	−	5.86999i	−0.445396	−	0.259673i
$512$	−15.3132	−	16.6585i	−0.676755	−	0.736208i
$513$	19.3049	−	3.53277i	0.852331	−	0.155976i
$514$	−13.6395	−	19.6742i	−0.601611	−	0.867792i
$515$			0.951012i			0.0419066i
$516$	−0.0889730	+	0.174028i	−0.00391682	+	0.00766117i
$517$	24.1924	+	13.9675i	1.06398	+	0.614289i
$518$	−38.1146	−	18.1884i	−1.67466	−	0.799152i
$519$	−15.0239	−	34.6240i	−0.659476	−	1.51982i
$520$	−0.492947	−	0.139519i	−0.0216171	−	0.00611831i
$521$	−20.4849	−	11.8270i	−0.897461	−	0.518150i	−0.0210857	−	0.999778i	$-0.506712\pi$
$521$	−20.4849	−	11.8270i	−0.897461	−	0.518150i	−0.876376	+	0.481628i	$0.840046\pi$
$522$	−2.30959	+	15.7276i	−0.101088	+	0.688378i
$523$	−0.951103	−	1.64736i	−0.0415888	−	0.0720340i	0.844482	−	0.535584i	$-0.179909\pi$
$523$	−0.951103	−	1.64736i	−0.0415888	−	0.0720340i	−0.886071	+	0.463550i	$0.846575\pi$
$524$	2.49247	−	6.65387i	0.108884	−	0.290676i
$525$	−18.3410	−	13.7139i	−0.800468	−	0.598523i
$526$	−3.48650	−	5.02908i	−0.152018	−	0.219278i
$527$			3.37407i			0.146977i
$528$	35.3905	−	7.77199i	1.54017	−	0.338233i
$529$	19.3231			0.840135
$530$	−0.114598	+	0.00948667i	−0.00497781	+	0.000412075i
$531$	15.7141	−	16.8004i	0.681933	−	0.729075i
$532$	19.7273	−	3.20280i	0.855287	−	0.138859i
$533$	−12.3805	−	21.4437i	−0.536261	−	0.928831i
$534$	10.4325	−	5.59129i	0.451458	−	0.241959i
$535$	−0.212993	−	0.368915i	−0.00920850	−	0.0159496i
$536$	18.7256	+	19.2580i	0.808821	+	0.831820i
$537$	−9.20243	−	21.2079i	−0.397114	−	0.915187i
$538$	−14.7516	+	1.22117i	−0.635987	+	0.0526485i
$539$	−0.310360	+	36.6080i	−0.0133682	+	1.57682i
$540$	−0.338742	+	0.401343i	−0.0145771	+	0.0172711i
$541$	−6.11980	−	10.5998i	−0.263111	−	0.455721i	0.703956	−	0.710243i	$-0.251415\pi$
$541$	−6.11980	−	10.5998i	−0.263111	−	0.455721i	−0.967067	+	0.254522i	$0.918082\pi$
$542$	14.5612	+	6.87299i	0.625455	+	0.295220i
$543$	−12.5093	+	16.8787i	−0.536825	+	0.724334i
$544$	19.7900	+	14.5577i	0.848489	+	0.624156i
$545$	−0.372106	−	0.214835i	−0.0159393	−	0.00920253i
$546$	19.6868	+	12.3274i	0.842518	+	0.527564i
$547$	29.8662	−	17.2432i	1.27698	−	0.737267i	0.300692	−	0.953721i	$-0.402782\pi$
$547$	29.8662	−	17.2432i	1.27698	−	0.737267i	0.976293	+	0.216454i	$0.0694492\pi$
$548$	12.1687	−	32.4855i	0.519823	−	1.38771i
$549$	−6.57030	+	28.2645i	−0.280414	+	1.20630i
$550$	−21.0589	−	30.3763i	−0.897954	−	1.29525i
$551$	−7.07566	+	12.2554i	−0.301433	+	0.522098i
$552$	−8.68844	−	3.57161i	−0.369805	−	0.152018i
$553$	7.90545	+	4.60900i	0.336174	+	0.195995i
$554$	18.6311	−	12.9163i	0.791558	−	0.548761i
$555$	0.981529	+	0.112581i	0.0416636	+	0.00477881i
$556$	15.6575	+	19.0181i	0.664028	+	0.806546i
$557$	−7.66305	+	13.2728i	−0.324694	+	0.562387i	−0.981450	−	0.191716i	$-0.938595\pi$
$557$	−7.66305	+	13.2728i	−0.324694	+	0.562387i	0.656756	+	0.754103i	$0.271928\pi$
$558$	0.478896	−	3.26113i	0.0202733	−	0.138055i
$559$	−0.202226			−0.00855327
$560$	−0.353082	+	0.401711i	−0.0149204	+	0.0169754i
$561$	−36.0897	+	15.6599i	−1.52371	+	0.661161i
$562$	−2.72733	−	1.28732i	−0.115046	−	0.0543025i
$563$	18.3307	+	31.7497i	0.772546	+	1.33809i	0.936163	+	0.351565i	$0.114350\pi$
$563$	18.3307	+	31.7497i	0.772546	+	1.33809i	−0.163617	+	0.986524i	$0.552316\pi$
$564$	−0.943014	−	18.4791i	−0.0397081	−	0.778109i
$565$	0.273748	+	0.158048i	0.0115167	+	0.00664915i
$566$	−28.1021	−	13.2644i	−1.18122	−	0.557546i
$567$	19.8369	−	13.1718i	0.833074	−	0.553162i
$568$	29.8348	−	7.54763i	1.25184	−	0.316691i
$569$	22.4891	−	38.9523i	0.942793	−	1.63297i	0.182682	−	0.983172i	$-0.441522\pi$
$569$	22.4891	−	38.9523i	0.942793	−	1.63297i	0.760111	−	0.649793i	$-0.225145\pi$
$570$	−0.412085	+	0.220857i	−0.0172603	+	0.00925067i
$571$	2.47039	−	1.42628i	0.103383	−	0.0596880i	−0.447417	−	0.894325i	$-0.647656\pi$
$571$	2.47039	−	1.42628i	0.103383	−	0.0596880i	0.550800	+	0.834637i	$0.314323\pi$
$572$	23.8283	+	28.9425i	0.996312	+	1.21015i
$573$	−3.24135	−	7.47001i	−0.135409	−	0.312064i
$574$	−25.7700	+	2.02335i	−1.07562	+	0.0844531i
$575$			9.58271i			0.399627i
$576$	−17.0613	−	16.8793i	−0.710889	−	0.703304i
$577$	−0.0641540	−	0.0370393i	−0.00267076	−	0.00154197i	0.498664	−	0.866795i	$-0.333824\pi$
$577$	−0.0641540	−	0.0370393i	−0.00267076	−	0.00154197i	−0.501335	+	0.865253i	$0.667157\pi$
$578$	−2.38078	−	1.12375i	−0.0990273	−	0.0467417i
$579$	5.30498	−	46.2510i	0.220468	−	1.92213i
$580$	−0.0622721	−	0.373542i	−0.00258571	−	0.0155105i
$581$	−15.3770	−	26.8964i	−0.637946	−	1.11585i
$582$	3.37232	−	1.80739i	0.139787	−	0.0749188i
$583$	7.28728	+	4.20731i	0.301808	+	0.174249i
$584$	−3.39305	+	11.9883i	−0.140405	+	0.496078i
$585$	−0.529275	−	0.123034i	−0.0218828	−	0.00508684i
$586$	−36.3439	+	3.00863i	−1.50135	+	0.124286i
$587$	−0.649362	−	1.12473i	−0.0268020	−	0.0464225i	0.852313	−	0.523032i	$-0.175199\pi$
$587$	−0.649362	−	1.12473i	−0.0268020	−	0.0464225i	−0.879115	+	0.476609i	$0.841866\pi$
$588$	20.4658	−	13.0058i	0.843995	−	0.536352i
$589$	1.46714	−	2.54117i	0.0604526	−	0.104707i
$590$	−0.233924	+	0.495592i	−0.00963049	+	0.0204032i
$591$	−14.9947	−	11.1130i	−0.616798	−	0.457127i
$592$	−8.66942	+	44.3077i	−0.356311	+	1.82104i
$593$	38.8634	−	22.4378i	1.59593	−	0.921410i	0.603668	−	0.797236i	$-0.293705\pi$
$593$	38.8634	−	22.4378i	1.59593	−	0.921410i	0.992261	−	0.124173i	$-0.0396279\pi$
$594$	37.1044	−	10.0133i	1.52241	−	0.410852i
$595$	0.292472	−	0.501653i	0.0119902	−	0.0205658i
$596$	−13.3346	+	35.5978i	−0.546205	+	1.45814i
$597$	12.1662	−	5.27911i	0.497930	−	0.216060i
$598$	−0.801854	−	9.68630i	−0.0327903	−	0.396102i
$599$	−24.5388	+	14.1675i	−1.00263	+	0.578867i	−0.909025	−	0.416742i	$-0.863172\pi$
$599$	−24.5388	+	14.1675i	−1.00263	+	0.578867i	−0.0936028	+	0.995610i	$0.529838\pi$
$600$	−9.30832	+	22.6438i	−0.380010	+	0.924430i
$601$	−22.6738	+	13.0907i	−0.924883	+	0.533982i	−0.885190	−	0.465230i	$-0.845972\pi$
$601$	−22.6738	+	13.0907i	−0.924883	+	0.533982i	−0.0396936	+	0.999212i	$0.512638\pi$
$602$	−0.0909220	+	0.190531i	−0.00370571	+	0.00776548i
$603$	20.8073	+	19.4619i	0.847338	+	0.792550i
$604$	−6.79957	−	2.54705i	−0.276670	−	0.103638i
$605$		−	0.826363i		−	0.0335964i
$606$	0.623773	−	19.7288i	0.0253390	−	0.801429i
$607$	−23.4189			−0.950544			−0.475272	−	0.879839i	$-0.657650\pi$
$607$	−23.4189			−0.950544			−0.475272	+	0.879839i	$0.657650\pi$
$608$	−8.57465	−	19.5694i	−0.347748	−	0.793642i
$609$	−2.02885	+	17.0496i	−0.0822132	+	0.690886i
$610$	−0.0570322	−	0.688942i	−0.00230917	−	0.0278944i
$611$	16.5795	−	9.57215i	0.670733	−	0.387248i
$612$	21.6987	+	14.4285i	0.877118	+	0.583239i
$613$	1.38801	−	2.40411i	0.0560614	−	0.0971012i	−0.836633	−	0.547764i	$-0.815479\pi$
$613$	1.38801	−	2.40411i	0.0560614	−	0.0971012i	0.892694	+	0.450663i	$0.148812\pi$
$614$	12.3402	−	8.55507i	0.498011	−	0.345254i
$615$	0.554738	−	0.240710i	0.0223692	−	0.00970635i
$616$	37.9821	−	9.43761i	1.53034	−	0.380252i
$617$	−10.6381	+	18.4257i	−0.428273	+	0.741791i	−0.996720	−	0.0809290i	$-0.974211\pi$
$617$	−10.6381	+	18.4257i	−0.428273	+	0.741791i	0.568447	+	0.822720i	$0.307545\pi$
$618$	−46.0725	−	1.45669i	−1.85331	−	0.0585966i
$619$	−11.8445			−0.476069			−0.238034	−	0.971257i	$-0.576503\pi$
$619$	−11.8445			−0.476069			−0.238034	+	0.971257i	$0.576503\pi$
$620$	0.0129122	+	0.0774542i	0.000518565	+	0.00311064i
$621$	−9.38468	−	3.34721i	−0.376594	−	0.134319i
$622$	29.0010	+	13.6887i	1.16283	+	0.548868i
$623$	11.0989	−	6.34538i	0.444668	−	0.254222i
$624$	7.51416	−	23.6675i	0.300807	−	0.947457i
$625$	24.9617			0.998468
$626$	37.8466	−	3.13303i	1.51266	−	0.125221i
$627$	33.9902	+	3.89868i	1.35744	+	0.155698i
$628$	−4.70698	−	28.2350i	−0.187829	−	1.12670i
$629$		−	49.0193i		−	1.95453i
$630$	−0.353884	+	0.443350i	−0.0140991	+	0.0176635i
$631$		−	11.3000i		−	0.449846i	−0.974377	−	0.224923i	$-0.927787\pi$
$631$		−	11.3000i		−	0.449846i	0.974377	−	0.224923i	$-0.0722130\pi$
$632$	2.66416	−	9.41297i	0.105974	−	0.374428i
$633$	3.56055	+	8.20563i	0.141519	+	0.326145i
$634$	0.00479607	+	0.0579358i	0.000190476	+	0.00230093i
$635$	0.216026			0.00857273
$636$	−0.284057	−	5.56630i	−0.0112636	−	0.220718i
$637$	21.6206	+	12.7282i	0.856639	+	0.504312i
$638$	−11.8288	+	25.0606i	−0.468307	+	0.992158i
$639$	31.2296	−	9.49633i	1.23542	−	0.375669i
$640$	0.510005	+	0.258449i	0.0201597	+	0.0102161i
$641$	−12.9322			−0.510791			−0.255395	−	0.966837i	$-0.582206\pi$
$641$	−12.9322			−0.510791			−0.255395	+	0.966837i	$0.582206\pi$
$642$	18.1986	−	9.75353i	0.718242	−	0.384941i
$643$	−19.6606	+	34.0532i	−0.775340	+	1.34293i	0.159264	+	0.987236i	$0.449088\pi$
$643$	−19.6606	+	34.0532i	−0.775340	+	1.34293i	−0.934603	+	0.355692i	$0.884245\pi$
$644$	−9.48664	−	3.59953i	−0.373826	−	0.141841i
$645$	0.000562783	−	0.00490657i	2.21596e−5	−	0.000193196i
$646$	13.2166	+	19.0643i	0.520001	+	0.750074i
$647$	−8.36492	+	14.4885i	−0.328859	+	0.569600i	−0.982286	−	0.187389i	$-0.939997\pi$
$647$	−8.36492	+	14.4885i	−0.328859	+	0.569600i	0.653427	+	0.756990i	$0.273331\pi$
$648$	−18.9245	−	17.0254i	−0.743425	−	0.668820i
$649$	34.7302	−	20.0515i	1.36328	−	0.787089i
$650$	−25.2444	+	2.08979i	−0.990168	+	0.0819684i
$651$	0.420684	−	3.53526i	0.0164879	−	0.138558i
$652$	−3.41997	−	20.5148i	−0.133936	−	0.803423i
$653$	−7.08175			−0.277130			−0.138565	−	0.990353i	$-0.544249\pi$
$653$	−7.08175			−0.277130			−0.138565	+	0.990353i	$0.544249\pi$
$654$	10.9778	−	17.6979i	0.429267	−	0.692042i
$655$			0.179540i			0.00701519i
$656$	8.96445	+	26.1396i	0.350003	+	1.02058i
$657$	−2.99215	+	12.8718i	−0.116735	+	0.502176i
$658$	−1.56438	−	19.9243i	−0.0609858	−	0.776731i
$659$	−15.3552	+	8.86531i	−0.598153	+	0.345344i	−0.768314	−	0.640073i	$-0.778904\pi$
$659$	−15.3552	+	8.86531i	−0.598153	+	0.345344i	0.170162	+	0.985416i	$0.445571\pi$
$660$	−0.768538	+	0.497596i	−0.0299153	+	0.0193689i
$661$	−38.6659	+	22.3237i	−1.50393	+	0.868293i	−0.503938	+	0.863740i	$0.668116\pi$
$661$	−38.6659	+	22.3237i	−1.50393	+	0.868293i	−0.999990	+	0.00455311i	$0.998551\pi$
$662$	18.7918	−	1.55563i	0.730366	−	0.0604614i
$663$	−3.07227	+	26.7853i	−0.119317	+	1.04026i
$664$	−23.7460	+	23.0894i	−0.921523	+	0.896044i
$665$	−0.438408	+	0.250643i	−0.0170007	+	0.00971952i
$666$	−6.95752	+	47.3785i	−0.269598	+	1.83588i
$667$	6.22200	−	3.59227i	0.240917	−	0.139093i
$668$	−9.53939	−	11.5868i	−0.369090	−	0.448306i
$669$	−1.88643	+	16.4467i	−0.0729336	+	0.635865i
$670$	−0.613791	−	0.289715i	−0.0237128	−	0.0111927i
$671$	−25.2936	+	43.8099i	−0.976450	+	1.69126i
$672$	−18.9203	−	17.7206i	−0.729868	−	0.683588i
$673$	7.93768	+	13.7485i	0.305975	+	0.529964i	0.977478	−	0.211038i	$-0.0676842\pi$
$673$	7.93768	+	13.7485i	0.305975	+	0.529964i	−0.671503	+	0.741002i	$0.734351\pi$
$674$	1.18579	+	14.3242i	0.0456751	+	0.551749i
$675$	−8.72351	+	24.4584i	−0.335768	+	0.941402i
$676$	−0.303649	+	0.0506205i	−0.0116788	+	0.00194694i
$677$	−9.62764	−	5.55852i	−0.370020	−	0.213631i	0.303447	−	0.952848i	$-0.401862\pi$
$677$	−9.62764	−	5.55852i	−0.370020	−	0.213631i	−0.673467	+	0.739217i	$0.735196\pi$
$678$	−8.07608	+	13.0198i	−0.310160	+	0.500024i
$679$	3.58773	−	2.05115i	0.137685	−	0.0787160i
$680$	−0.597315	−	0.169058i	−0.0229060	−	0.00648310i
$681$	8.85990	+	6.56633i	0.339512	+	0.251622i
$682$	2.45271	−	5.19633i	0.0939192	−	0.198978i
$683$	−26.9135	−	15.5385i	−1.02982	−	0.594565i	−0.112884	−	0.993608i	$-0.536009\pi$
$683$	−26.9135	−	15.5385i	−1.02982	−	0.594565i	−0.916932	+	0.399043i	$0.869342\pi$
$684$	−10.0684	−	20.3020i	−0.384974	−	0.776268i
$685$			0.876548i			0.0334912i
$686$	21.7129	−	14.6476i	0.829002	−	0.559246i
$687$	−20.2658	+	27.3445i	−0.773188	+	1.04326i
$688$	0.221490	+	0.0433376i	0.00844423	+	0.00165223i
$689$	4.99410	−	2.88334i	0.190260	−	0.109847i
$690$	0.237248	+	0.00750114i	0.00903187	+	0.000285564i
$691$	7.34861	−	12.7282i	0.279554	−	0.484202i	−0.691720	−	0.722166i	$-0.743147\pi$
$691$	7.34861	−	12.7282i	0.279554	−	0.484202i	0.971274	+	0.237964i	$0.0764800\pi$
$692$	−33.6460	+	27.7007i	−1.27903	+	1.05302i
$693$	39.7663	−	11.9083i	1.51060	−	0.452359i
$694$	−0.779139	+	1.65069i	−0.0295757	+	0.0626592i
$695$	−0.539067	−	0.311230i	−0.0204480	−	0.0118056i
$696$	18.1919	−	2.44466i	0.689562	−	0.0926644i
$697$	−15.0018	−	25.9839i	−0.568234	−	0.984210i
$698$	−7.51830	+	15.9283i	−0.284572	+	0.602896i
$699$	−1.68501	+	14.6906i	−0.0637328	+	0.555648i
$700$	−9.38108	+	24.7241i	−0.354572	+	0.934483i
$701$	−5.95864			−0.225055			−0.112527	−	0.993649i	$-0.535895\pi$
$701$	−5.95864			−0.225055			−0.112527	+	0.993649i	$0.535895\pi$
$702$	6.77119	−	25.4527i	0.255562	−	0.960650i
$703$	−21.3150	+	36.9187i	−0.803911	+	1.39242i
$704$	−19.8957	−	36.8060i	−0.749848	−	1.38718i
$705$	0.186107	+	0.428902i	0.00700921	+	0.0161534i
$706$	−12.6954	−	18.3124i	−0.477796	−	0.689195i
$707$	0.0903733	−	21.3200i	0.00339884	−	0.801822i
$708$	−23.6510	−	12.0917i	−0.888860	−	0.454435i
$709$	1.37105	−	2.37473i	0.0514910	−	0.0891849i	−0.839131	−	0.543929i	$-0.816936\pi$
$709$	1.37105	−	2.37473i	0.0514910	−	0.0891849i	0.890622	+	0.454744i	$0.150269\pi$
$710$	−0.639065	+	0.443042i	−0.0239837	+	0.0166271i
$711$	2.34938	−	10.1067i	0.0881085	−	0.379030i
$712$	−9.52793	−	9.79886i	−0.357074	−	0.367228i
$713$	−1.29014	+	0.744861i	−0.0483160	+	0.0278952i
$714$	23.8550	+	14.9374i	0.892750	+	0.559019i
$715$	−0.820375	−	0.473644i	−0.0306803	−	0.0177133i
$716$	−20.6088	+	16.9672i	−0.770189	+	0.634095i
$717$	−1.32061	−	3.04346i	−0.0493189	−	0.113660i
$718$	−1.67405	+	3.54664i	−0.0624748	+	0.132360i
$719$	−14.2180	−	24.6263i	−0.530241	−	0.918405i	−0.999378	−	0.0352789i	$-0.988768\pi$
$719$	−14.2180	−	24.6263i	−0.530241	−	0.918405i	0.469136	−	0.883126i	$-0.344565\pi$
$720$	0.553327	+	0.248179i	0.0206213	+	0.00924910i
$721$	−49.7884	−	0.211048i	−1.85422	−	0.00785983i
$722$	0.552430	+	6.67328i	0.0205593	+	0.248354i
$723$	10.9677	−	14.7986i	0.407893	−	0.550367i
$724$	22.7174	+	8.50971i	0.844287	+	0.316261i
$725$	−9.36218	−	16.2158i	−0.347703	−	0.602239i
$726$	40.0338	+	1.26576i	1.48579	+	0.0469768i
$727$	24.2547	+	42.0103i	0.899556	+	1.55808i	0.828063	+	0.560635i	$0.189443\pi$
$727$	24.2547	+	42.0103i	0.899556	+	1.55808i	0.0714925	+	0.997441i	$0.477224\pi$
$728$	7.41364	−	25.7763i	0.274768	−	0.955334i
$729$	−20.9058	−	17.0865i	−0.774289	−	0.632832i
$730$	−0.0259727	−	0.313747i	−0.000961294	−	0.0116123i
$731$	−0.245043			−0.00906323
$732$	33.4637	−	1.70770i	1.23685	−	0.0631184i
$733$			53.4065i			1.97261i	0.164923	+	0.986307i	$0.447263\pi$
$733$			53.4065i			1.97261i	−0.164923	+	0.986307i	$0.552737\pi$
$734$	30.6147	−	21.2242i	1.13001	−	0.783398i
$735$	−0.368991	+	0.489153i	−0.0136104	+	0.0180427i
$736$	−1.19756	+	10.7808i	−0.0441426	+	0.397387i
$737$	24.8338	+	43.0133i	0.914763	+	1.58442i
$738$	10.8117	+	27.2434i	0.397982	+	1.00284i
$739$	4.34119	+	2.50638i	0.159693	+	0.0921988i	0.577717	−	0.816237i	$-0.303944\pi$
$739$	4.34119	+	2.50638i	0.159693	+	0.0921988i	−0.418024	+	0.908436i	$0.637277\pi$
$740$	−0.187591	−	1.12527i	−0.00689599	−	0.0413659i
$741$	13.9609	−	18.8374i	0.512867	−	0.692008i
$742$	−0.471225	−	6.00165i	−0.0172992	−	0.220327i
$743$	−19.9322	−	11.5079i	−0.731241	−	0.422182i	0.0876350	−	0.996153i	$-0.472069\pi$
$743$	−19.9322	−	11.5079i	−0.731241	−	0.422182i	−0.818876	+	0.573970i	$0.805402\pi$
$744$	−3.77211	+	0.506901i	−0.138292	+	0.0185839i
$745$		−	0.960526i		−	0.0351910i
$746$	3.23209	−	2.24070i	0.118335	−	0.0820380i
$747$	−23.9973	+	25.6563i	−0.878017	+	0.938714i
$748$	28.8734	+	35.0703i	1.05571	+	1.28230i
$749$	19.3611	−	11.0690i	0.707439	−	0.404452i
$750$	0.0391089	−	1.23695i	0.00142806	−	0.0451669i
$751$			14.9085i			0.544019i	0.962295	+	0.272010i	$0.0876883\pi$
$751$			14.9085i			0.544019i	−0.962295	+	0.272010i	$0.912312\pi$
$752$	−20.2101	+	6.93096i	−0.736987	+	0.252746i
$753$	29.7834	+	22.0734i	1.08537	+	0.804399i
$754$	10.8203	+	15.6077i	0.394051	+	0.568397i
$755$	0.183471			0.00667719
$756$	−20.9364	−	17.8233i	−0.761448	−	0.648226i
$757$	45.5610			1.65594			0.827971	−	0.560770i	$-0.189495\pi$
$757$	45.5610			1.65594			0.827971	+	0.560770i	$0.189495\pi$
$758$	−24.8709	−	35.8750i	−0.903353	−	1.30304i
$759$	−13.9550	−	10.3425i	−0.506536	−	0.375408i
$760$	0.376355	+	0.387056i	0.0136518	+	0.0140400i
$761$		−	15.6147i		−	0.566034i	−0.959115	−	0.283017i	$-0.908665\pi$
$761$		−	15.6147i		−	0.566034i	0.959115	−	0.283017i	$-0.0913353\pi$
$762$	−0.330892	+	10.4655i	−0.0119870	+	0.379126i
$763$	11.3299	−	19.4332i	0.410169	−	0.703529i
$764$	−7.25901	+	5.97633i	−0.262622	+	0.216216i
$765$	−0.641336	−	0.149084i	−0.0231875	−	0.00539013i
$766$	−11.2562	+	7.80355i	−0.406703	+	0.281954i
$767$		−	27.4833i		−	0.992363i
$768$	−13.3019	+	24.3117i	−0.479992	+	0.877273i
$769$	25.3443	+	14.6326i	0.913940	+	0.527664i	0.881697	−	0.471816i	$-0.156401\pi$
$769$	25.3443	+	14.6326i	0.913940	+	0.527664i	0.0322436	+	0.999480i	$0.489735\pi$
$770$	−0.815097	+	0.559979i	−0.0293741	+	0.0201803i
$771$	−17.4580	+	23.5559i	−0.628734	+	0.848346i
$772$	−53.0244	+	8.83955i	−1.90839	+	0.318143i
$773$	−14.6242	−	8.44327i	−0.525995	−	0.303683i	0.213389	−	0.976967i	$-0.431550\pi$
$773$	−14.6242	−	8.44327i	−0.525995	−	0.303683i	−0.739384	+	0.673284i	$0.764883\pi$
$774$	0.236840	+	0.0347800i	0.00851306	+	0.00125014i
$775$	1.94126	+	3.36235i	0.0697319	+	0.120779i
$776$	−3.07992	−	3.16750i	−0.110563	−	0.113706i
$777$	−6.11180	+	51.3611i	−0.219260	+	1.84257i
$778$	21.0257	−	14.5764i	0.753809	−	0.522591i
$779$			26.0929i			0.934876i
$780$	0.0319781	+	0.626634i	0.00114500	+	0.0224371i
$781$	56.9039			2.03618
$782$	−0.971626	−	11.7371i	−0.0347453	−	0.419718i
$783$	19.1508	−	3.50459i	0.684395	−	0.125244i
$784$	−20.9524	−	18.5741i	−0.748301	−	0.663359i
$785$	0.361646	+	0.626389i	0.0129077	+	0.0223568i
$786$	−8.69793	−	0.275005i	−0.310245	−	0.00980912i
$787$	−6.90887	−	11.9665i	−0.246274	−	0.426560i	0.716215	−	0.697880i	$-0.245873\pi$
$787$	−6.90887	−	11.9665i	−0.246274	−	0.426560i	−0.962489	+	0.271320i	$0.912540\pi$
$788$	−7.55984	+	20.1817i	−0.269308	+	0.718942i
$789$	−4.46258	+	6.02132i	−0.158872	+	0.214365i
$790$	0.0203933	+	0.246348i	0.000725561	+	0.00876468i
$791$	−8.33507	+	14.2965i	−0.296361	+	0.508324i
$792$	−22.9292	−	37.9946i	−0.814754	−	1.35008i
$793$	17.3342	+	30.0237i	0.615554	+	1.06617i
$794$	8.88050	−	18.8143i	0.315157	−	0.667694i
$795$	0.0560596	+	0.129195i	0.00198823	+	0.00458206i
$796$	−9.73350	−	11.8226i	−0.344995	−	0.419040i
$797$	−38.4431	−	22.1951i	−1.36172	−	0.786191i	−0.371870	−	0.928285i	$-0.621283\pi$
$797$	−38.4431	−	22.1951i	−1.36172	−	0.786191i	−0.989853	+	0.142094i	$0.954617\pi$
$798$	−11.4711	−	21.6229i	−0.406072	−	0.765443i
$799$	20.0897	−	11.5988i	0.710723	−	0.410336i
$800$	28.0970	+	3.12108i	0.993379	+	0.110347i
$801$	−10.5872	−	9.90259i	−0.374079	−	0.349891i
$802$	−35.3258	+	24.4902i	−1.24740	+	0.864779i
$803$	−11.5188	+	19.9512i	−0.406491	+	0.704063i
$804$	14.9756	−	29.2918i	0.528149	−	1.03304i
$805$	0.256383	+	0.00108678i	0.00903630	+	3.83039e-5i
$806$	−2.24359	−	3.23626i	−0.0790271	−	0.113992i
$807$	7.21628	+	16.6306i	0.254025	+	0.585425i
$808$	−22.0962	+	5.58990i	−0.777340	+	0.196652i
$809$	18.6016	−	32.2189i	0.653996	−	1.13275i	−0.328148	−	0.944626i	$-0.606424\pi$
$809$	18.6016	−	32.2189i	0.653996	−	1.13275i	0.982144	−	0.188129i	$-0.0602422\pi$
$810$	0.598708	+	0.235121i	0.0210365	+	0.00826131i
$811$	−8.61136			−0.302386			−0.151193	−	0.988504i	$-0.548311\pi$
$811$	−8.61136			−0.302386			−0.151193	+	0.988504i	$0.548311\pi$
$812$	19.5699	−	3.17724i	0.686768	−	0.111499i
$813$	2.24720	−	19.5920i	0.0788129	−	0.687123i
$814$	−35.6336	+	75.4936i	−1.24896	+	2.64605i
$815$	0.262762	+	0.455118i	0.00920417	+	0.0159421i
$816$	9.10509	−	28.6784i	0.318742	−	1.00395i
$817$	0.184553	+	0.106552i	0.00645670	+	0.00372777i
$818$	6.86595	−	14.5462i	0.240062	−	0.508597i
$819$	6.55868	−	27.6819i	0.229179	−	0.967283i
$820$	−0.443815	−	0.539069i	−0.0154987	−	0.0188251i
$821$	−10.8320	+	18.7616i	−0.378040	+	0.654785i	−0.990777	−	0.135502i	$-0.956735\pi$
$821$	−10.8320	+	18.7616i	−0.378040	+	0.654785i	0.612737	+	0.790287i	$0.290069\pi$
$822$	−42.4650	−	1.34263i	−1.48114	−	0.0468297i
$823$	−42.8261	+	24.7257i	−1.49283	+	0.861883i	−0.999966	−	0.00822630i	$-0.997381\pi$
$823$	−42.8261	+	24.7257i	−1.49283	+	0.861883i	−0.492859	+	0.870109i	$0.664048\pi$
$824$	13.0540	+	51.6009i	0.454759	+	1.79760i
$825$	−26.9546	+	36.3696i	−0.938438	+	1.26623i
$826$	−25.8939	−	12.3566i	−0.900963	−	0.429941i
$827$		−	27.3297i		−	0.950346i	−0.879892	−	0.475173i	$-0.842385\pi$
$827$		−	27.3297i		−	0.950346i	0.879892	−	0.475173i	$-0.157615\pi$
$828$	−0.726797	+	11.4822i	−0.0252579	+	0.399032i
$829$	9.04573	+	5.22255i	0.314171	+	0.181387i	0.648791	−	0.760966i	$-0.275275\pi$
$829$	9.04573	+	5.22255i	0.314171	+	0.181387i	−0.334620	+	0.942353i	$0.608608\pi$
$830$	0.357230	−	0.756831i	0.0123997	−	0.0262700i
$831$	−22.3070	−	16.5324i	−0.773821	−	0.573501i
$832$	−28.6619	−	0.803734i	−0.993672	−	0.0278645i
$833$	26.1982	+	15.4231i	0.907713	+	0.534380i
$834$	15.9035	−	25.6388i	0.550693	−	0.887799i
$835$	0.328428	+	0.189618i	0.0113657	+	0.00656199i
$836$	−6.49626	−	38.9681i	−0.224678	−	1.34774i
$837$	−3.97094	+	0.726678i	−0.137256	+	0.0251177i
$838$	3.47049	+	41.9230i	0.119886	+	1.44821i
$839$	21.7591	+	37.6879i	0.751208	+	1.30113i	0.947238	+	0.320532i	$0.103862\pi$
$839$	21.7591	+	37.6879i	0.751208	+	1.30113i	−0.196030	+	0.980598i	$0.562805\pi$
$840$	0.604773	+	0.251609i	0.0208666	+	0.00868134i
$841$	7.48080	−	12.9571i	0.257958	−	0.446797i
$842$	−6.95490	−	3.28277i	−0.239682	−	0.113132i
$843$	−0.420906	+	3.66963i	−0.0144968	+	0.126389i
$844$	7.97386	−	6.56487i	0.274472	−	0.225972i
$845$	0.00673641	−	0.00388927i	0.000231739	−	0.000133795i
$846$	−21.0635	+	8.35915i	−0.724180	+	0.287393i
$847$	43.2626	+	0.183386i	1.48652	+	0.00630121i
$848$	−6.08773	+	2.08776i	−0.209054	+	0.0716939i
$849$	−4.33697	+	37.8114i	−0.148844	+	1.29768i
$850$	−30.5893	+	2.53225i	−1.04920	+	0.0868555i
$851$	18.7434	−	10.8215i	0.642516	−	0.370957i
$852$	−20.4847	−	31.6386i	−0.701793	−	1.08392i
$853$	−14.1948	+	8.19537i	−0.486020	+	0.280604i	−0.722922	−	0.690930i	$-0.757201\pi$
$853$	−14.1948	+	8.19537i	−0.486020	+	0.280604i	0.236902	+	0.971534i	$0.423868\pi$
$854$	36.0809	−	2.83292i	1.23466	−	0.0969406i
$855$	0.418194	+	0.391154i	0.0143019	+	0.0133772i
$856$	−16.6207	−	17.0933i	−0.568083	−	0.584237i
$857$			14.0660i			0.480485i	0.970713	+	0.240243i	$0.0772270\pi$
$857$			14.0660i			0.480485i	−0.970713	+	0.240243i	$0.922773\pi$
$858$	24.2026	−	39.0182i	0.826264	−	1.33206i
$859$	54.8880			1.87276			0.936378	−	0.350993i	$-0.114156\pi$
$859$	54.8880			1.87276			0.936378	+	0.350993i	$0.114156\pi$
$860$	−0.00562514		0.000937751i	−0.000191816		3.19770e-5i
$861$	12.4788	+	29.0957i	0.425276	+	0.991578i
$862$	−21.6882	+	1.79540i	−0.738703	+	0.0611515i
$863$	−22.6425	+	13.0727i	−0.770760	+	0.444998i	−0.833146	−	0.553054i	$-0.813462\pi$
$863$	−22.6425	+	13.0727i	−0.770760	+	0.444998i	0.0623858	+	0.998052i	$0.480129\pi$
$864$	−12.8708	+	26.4262i	−0.437873	+	0.899037i
$865$	0.550617	−	0.953696i	0.0187215	−	0.0324266i
$866$	16.4265	+	23.6943i	0.558194	+	0.805165i
$867$	−0.367423	+	3.20334i	−0.0124783	+	0.108791i
$868$	−4.05783	+	0.658803i	−0.137732	+	0.0223612i
$869$	9.04437	−	15.6653i	0.306809	−	0.531409i
$870$	−0.408797	+	0.219094i	−0.0138595	+	0.00742800i
$871$	34.0380			1.15333
$872$	−23.1390	−	6.54904i	−0.783585	−	0.221779i
$873$	−3.42231	−	3.20103i	−0.115828	−	0.108338i
$874$	−4.37187	+	9.26226i	−0.147881	+	0.313301i
$875$	0.00566617	−	1.33671i	0.000191552	−	0.0451890i
$876$	15.2395	−	0.777694i	0.514895	−	0.0262759i
$877$	19.5584			0.660439			0.330219	−	0.943904i	$-0.392877\pi$
$877$	19.5584			0.660439			0.330219	+	0.943904i	$0.392877\pi$
$878$	0.512484	+	6.19074i	0.0172955	+	0.208927i
$879$	17.7789	+	40.9732i	0.599668	+	1.38199i
$880$	0.797020	+	0.694571i	0.0268675	+	0.0234140i
$881$		−	9.97088i		−	0.335928i	−0.985793	−	0.167964i	$-0.946281\pi$
$881$		−	9.97088i		−	0.335928i	0.985793	−	0.167964i	$-0.0537192\pi$
$882$	−23.1322	−	18.6253i	−0.778901	−	0.627146i
$883$			50.5277i			1.70039i	0.526467	+	0.850196i	$0.323516\pi$
$883$			50.5277i			1.70039i	−0.526467	+	0.850196i	$0.676484\pi$
$884$	30.7080	−	5.11925i	1.03282	−	0.172179i
$885$	0.666819	+	0.0764841i	0.0224149	+	0.00257099i
$886$	52.6759	−	4.36064i	1.76968	−	0.146498i
$887$	4.22445			0.141843			0.0709215	−	0.997482i	$-0.477406\pi$
$887$	4.22445			0.141843			0.0709215	+	0.997482i	$0.477406\pi$
$888$	54.8021	−	7.36439i	1.83904	−	0.247133i
$889$	−0.0479403	+	11.3096i	−0.00160787	+	0.379313i
$890$	0.312309	+	0.147412i	0.0104686	+	0.00494128i
$891$	−26.2028	−	39.1013i	−0.877828	−	1.30994i
$892$	18.8553	−	3.14331i	0.631321	−	0.105246i
$893$	−20.1740			−0.675098
$894$	46.5334	+	1.47126i	1.55631	+	0.0492064i
$895$	0.337264	−	0.584158i	0.0112735	−	0.0195262i
$896$	−13.6438	+	26.6430i	−0.455807	+	0.890079i
$897$	−10.9201	+	4.73840i	−0.364611	+	0.158211i
$898$	20.1854	−	13.9939i	0.673595	−	0.466981i
$899$	1.45544	−	2.52089i	0.0485415	−	0.0840764i
$900$	29.9248	+	1.89418i	0.997493	+	0.0631393i
$901$	6.05147	−	3.49382i	0.201604	−	0.116396i
$902$	4.21549	+	50.9226i	0.140360	+	1.69554i
$903$	0.256749	+	0.0305523i	0.00854408	+	0.00101672i
$904$	17.0227	+	4.81795i	0.566167	+	0.160243i
$905$	−0.612978			−0.0203761
$906$	−0.281027	+	8.88838i	−0.00933649	+	0.295297i
$907$		−	48.9786i		−	1.62631i	−0.582049	−	0.813153i	$-0.697749\pi$
$907$		−	48.9786i		−	1.62631i	0.582049	−	0.813153i	$-0.302251\pi$
$908$	4.46689	−	11.9248i	0.148239	−	0.395737i
$909$	−23.1292	+	7.03315i	−0.767146	+	0.233275i
$910$	0.0530488	+	0.675644i	0.00175855	+	0.0223974i
$911$	−18.3776	+	10.6103i	−0.608878	+	0.351536i	−0.772526	−	0.634983i	$-0.781007\pi$
$911$	−18.3776	+	10.6103i	−0.608878	+	0.351536i	0.163648	+	0.986519i	$0.447674\pi$
$912$	−19.3277	+	17.6399i	−0.640004	+	0.584116i
$913$	−53.0373	+	30.6211i	−1.75528	+	1.01341i
$914$	−3.43361	−	41.4775i	−0.113574	−	1.37195i
$915$	−0.776696	+	0.337021i	−0.0256768	+	0.0111416i
$916$	36.8036	+	13.7862i	1.21602	+	0.455510i
$917$	−9.39945	−	0.0398433i	−0.310397	−	0.00131574i
$918$	8.20482	−	30.8416i	0.270799	−	1.01793i
$919$	8.84718	−	5.10792i	0.291842	−	0.168495i	−0.346931	−	0.937891i	$-0.612776\pi$
$919$	8.84718	−	5.10792i	0.291842	−	0.168495i	0.638772	+	0.769396i	$0.279443\pi$
$920$	−0.0672210	−	0.265716i	−0.00221621	−	0.00876040i
$921$	−14.7750	−	10.9502i	−0.486851	−	0.360820i
$922$	20.5644	−	43.5680i	0.677254	−	1.43483i
$923$	19.4986	−	33.7726i	0.641805	−	1.11164i
$924$	−25.8801	−	40.3457i	−0.851393	−	1.32728i
$925$	−28.2030	−	48.8491i	−0.927310	−	1.60615i
$926$	−33.8843	+	2.80502i	−1.11351	+	0.0921788i
$927$	16.4244	+	54.0133i	0.539449	+	1.77403i
$928$	−8.50623	−	19.4132i	−0.279231	−	0.637270i
$929$	−19.2858	−	11.1346i	−0.632746	−	0.365316i	0.149069	−	0.988827i	$-0.452372\pi$
$929$	−19.2858	−	11.1346i	−0.632746	−	0.365316i	−0.781815	+	0.623511i	$0.785706\pi$
$930$	0.0847643	−	0.0454294i	0.00277953	−	0.00148969i
$931$	−13.0246	−	23.0076i	−0.426866	−	0.754044i
$932$	16.8420	−	2.80768i	0.551678	−	0.0919687i
$933$	4.47569	−	39.0209i	0.146528	−	1.27749i
$934$	29.7764	+	14.0547i	0.974313	+	0.459884i
$935$	−0.994068	−	0.573926i	−0.0325095	−	0.0187694i
$936$	−30.4067	+	0.589369i	−0.993876	+	0.0192641i
$937$		−	54.2731i		−	1.77302i	−0.462705	−	0.886512i	$-0.653121\pi$
$937$		−	54.2731i		−	1.77302i	0.462705	−	0.886512i	$-0.346879\pi$
$938$	15.3037	−	32.0695i	0.499682	−	1.04711i
$939$	−18.5140	−	42.6674i	−0.604183	−	1.39240i
$940$	0.416787	−	0.343140i	0.0135941	−	0.0111920i
$941$	13.7813	−	7.95667i	0.449259	−	0.259380i	−0.258258	−	0.966076i	$-0.583148\pi$
$941$	13.7813	−	7.95667i	0.449259	−	0.259380i	0.707517	+	0.706696i	$0.249815\pi$
$942$	−30.8998	+	16.5607i	−1.00677	+	0.539578i
$943$	6.62361	−	11.4724i	0.215695	−	0.373594i
$944$	−5.88973	+	30.1013i	−0.191694	+	0.979712i
$945$	0.653386	+	0.236169i	0.0212547	+	0.00768256i
$946$	0.377385	+	0.178129i	0.0122699	+	0.00579148i
$947$	12.2761	+	7.08761i	0.398920	+	0.230316i	0.686018	−	0.727585i	$-0.259357\pi$
$947$	12.2761	+	7.08761i	0.398920	+	0.230316i	−0.287098	+	0.957901i	$0.592691\pi$
$948$	−11.9658	+	0.610631i	−0.388630	+	0.0198324i
$949$	7.89406	+	13.6729i	0.256252	+	0.443841i
$950$	24.1393	+	11.3940i	0.783183	+	0.369669i
$951$	0.0653155	−	0.0283414i	0.00211800	−	0.000919033i
$952$	8.98329	−	31.2338i	0.291150	−	1.01229i
$953$	18.0983			0.586261			0.293130	−	0.956072i	$-0.405303\pi$
$953$	18.0983			0.586261			0.293130	+	0.956072i	$0.405303\pi$
$954$	−6.34480	+	2.51796i	−0.205421	+	0.0815219i
$955$	0.118794	−	0.205757i	0.00384407	−	0.00665813i
$956$	−2.95750	+	2.43490i	−0.0956523	+	0.0787504i
$957$	33.7190	+	3.86757i	1.08998	+	0.125021i
$958$	24.3767	−	16.8996i	0.787577	−	0.546001i
$959$	−45.8900	−	0.194523i	−1.48187	−	0.00628147i
$960$	0.0992650	−	0.693179i	0.00320376	−	0.0223723i
$961$	15.1982	−	26.3241i	0.490265	−	0.849164i
$962$	32.5954	+	47.0172i	1.05092	+	1.51589i
$963$	−18.4684	−	17.2742i	−0.595136	−	0.556654i
$964$	−19.9178	−	7.46101i	−0.641510	−	0.240303i
$965$	1.17634	−	0.679159i	0.0378677	−	0.0218629i
$966$	−0.445358	+	12.4190i	−0.0143291	+	0.399574i
$967$	−9.01849	−	5.20683i	−0.290015	−	0.167440i	0.347934	−	0.937519i	$-0.386883\pi$
$967$	−9.01849	−	5.20683i	−0.290015	−	0.167440i	−0.637949	+	0.770079i	$0.720217\pi$
$968$	−11.3430	−	44.8376i	−0.364579	−	1.44113i
$969$	16.9168	−	22.8257i	0.543445	−	0.733266i
$970$	0.100954	+	0.0476513i	0.00324145	+	0.00152999i
$971$	−8.08607	−	14.0055i	−0.259494	−	0.449457i	0.706612	−	0.707601i	$-0.250223\pi$
$971$	−8.08607	−	14.0055i	−0.259494	−	0.449457i	−0.966107	+	0.258144i	$0.916889\pi$
$972$	−12.3077	+	28.6447i	−0.394769	+	0.918781i
$973$	16.4135	−	28.1527i	0.526193	−	0.902536i
$974$	−28.8330	+	2.38686i	−0.923868	+	0.0764800i
$975$	12.3492	+	28.4600i	0.395491	+	0.911448i
$976$	−12.5512	−	36.5984i	−0.401756	−	1.17149i
$977$	−1.70915	−	2.96034i	−0.0546806	−	0.0947096i	0.837389	−	0.546607i	$-0.184081\pi$
$977$	−1.70915	−	2.96034i	−0.0546806	−	0.0947096i	−0.892070	+	0.451897i	$0.850747\pi$
$978$	−22.4510	+	12.0326i	−0.717904	+	0.384760i
$979$	−12.6359	−	21.8860i	−0.403845	−	0.699480i
$980$	0.660421	+	0.253792i	0.0210964	+	0.00810708i
$981$	−24.8443	−	5.77525i	−0.793216	−	0.184389i
$982$	23.8604	−	1.97522i	0.761415	−	0.0630317i
$983$	50.3800			1.60687			0.803437	−	0.595390i	$-0.203002\pi$
$983$	50.3800			1.60687			0.803437	+	0.595390i	$0.203002\pi$
$984$	26.7954	−	20.6753i	0.854207	−	0.659103i
$985$		−	0.544556i		−	0.0173510i
$986$	13.1112	+	18.9122i	0.417545	+	0.602286i
$987$	−22.4956	+	9.64811i	−0.716044	+	0.307103i
$988$	−25.3536	−	9.49721i	−0.806607	−	0.302147i
$989$	−0.0540957	−	0.0936966i	−0.00172014	−	0.00297938i
$990$	0.879335	+	0.695807i	0.0279471	+	0.0221142i
$991$	−3.64655	−	2.10534i	−0.115837	−	0.0668782i	0.440962	−	0.897526i	$-0.354637\pi$
$991$	−3.64655	−	2.10534i	−0.115837	−	0.0668782i	−0.556799	+	0.830647i	$0.687971\pi$
$992$	1.76377	+	4.02535i	0.0559999	+	0.127805i
$993$	−9.19271	−	21.1855i	−0.291722	−	0.672301i
$994$	−23.0528	−	33.5553i	−0.731191	−	1.06431i
$995$	0.335111	+	0.193476i	0.0106237	+	0.00613361i
$996$	36.1180	+	18.4656i	1.14444	+	0.585104i
$997$		−	13.0917i		−	0.414617i	−0.978276	−	0.207309i	$-0.933530\pi$
$997$		−	13.0917i		−	0.414617i	0.978276	−	0.207309i	$-0.0664704\pi$
$998$	23.4807	+	33.8697i	0.743270	+	1.07213i
$999$	57.6908	−	10.5574i	1.82526	−	0.334020i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	252.2.n.b.31.9	✓	84
3.2	odd	2		756.2.n.b.199.34		84
4.3	odd	2	inner	252.2.n.b.31.20	yes	84
7.5	odd	6		252.2.bj.b.103.38	yes	84
9.2	odd	6		756.2.bj.b.451.5		84
9.7	even	3		252.2.bj.b.115.38	yes	84
12.11	even	2		756.2.n.b.199.23		84
21.5	even	6		756.2.bj.b.523.5		84
28.19	even	6		252.2.bj.b.103.37	yes	84
36.7	odd	6		252.2.bj.b.115.37	yes	84
36.11	even	6		756.2.bj.b.451.6		84
63.47	even	6		756.2.n.b.19.23		84
63.61	odd	6	inner	252.2.n.b.187.20	yes	84
84.47	odd	6		756.2.bj.b.523.6		84
252.47	odd	6		756.2.n.b.19.34		84
252.187	even	6	inner	252.2.n.b.187.9	yes	84

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
252.2.n.b.31.9	✓	84	1.1	even	1	trivial
252.2.n.b.31.20	yes	84	4.3	odd	2	inner
252.2.n.b.187.9	yes	84	252.187	even	6	inner
252.2.n.b.187.20	yes	84	63.61	odd	6	inner
252.2.bj.b.103.37	yes	84	28.19	even	6
252.2.bj.b.103.38	yes	84	7.5	odd	6
252.2.bj.b.115.37	yes	84	36.7	odd	6
252.2.bj.b.115.38	yes	84	9.7	even	3
756.2.n.b.19.23		84	63.47	even	6
756.2.n.b.19.34		84	252.47	odd	6
756.2.n.b.199.23		84	12.11	even	2
756.2.n.b.199.34		84	3.2	odd	2
756.2.bj.b.451.5		84	9.2	odd	6
756.2.bj.b.451.6		84	36.11	even	6
756.2.bj.b.523.5		84	21.5	even	6
756.2.bj.b.523.6		84	84.47	odd	6

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:	\( N \)	\(=\)	\( 252 = 2^{2} \cdot 3^{2} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	252.n (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.16223 + 0.805738i) q^{2} +(1.39154 + 1.03131i) q^{3} +(0.701573 - 1.87291i) q^{4} +0.0505362i q^{5} +(-2.44827 - 0.0774077i) q^{6} +(-2.64573 - 0.0112150i) q^{7} +(0.693684 + 2.74204i) q^{8} +(0.872785 + 2.87023i) q^{9} +O(q^{10})\)	\(q+(-1.16223 + 0.805738i) q^{2} +(1.39154 + 1.03131i) q^{3} +(0.701573 - 1.87291i) q^{4} +0.0505362i q^{5} +(-2.44827 - 0.0774077i) q^{6} +(-2.64573 - 0.0112150i) q^{7} +(0.693684 + 2.74204i) q^{8} +(0.872785 + 2.87023i) q^{9} +(-0.0407190 - 0.0587349i) q^{10} +5.22990i q^{11} +(2.90783 - 1.88270i) q^{12} +(3.10396 + 1.79207i) q^{13} +(3.08399 - 2.11873i) q^{14} +(-0.0521187 + 0.0703234i) q^{15} +(-3.01559 - 2.62797i) q^{16} +(3.76114 + 2.17150i) q^{17} +(-3.32704 - 2.63265i) q^{18} +(-1.88846 - 3.27091i) q^{19} +(0.0946499 + 0.0354549i) q^{20} +(-3.67008 - 2.74418i) q^{21} +(-4.21393 - 6.07837i) q^{22} +1.91752i q^{23} +(-1.86261 + 4.53108i) q^{24} +4.99745 q^{25} +(-5.05146 + 0.418172i) q^{26} +(-1.74559 + 4.89417i) q^{27} +(-1.87717 + 4.94734i) q^{28} +(-1.87339 - 3.24481i) q^{29} +(0.00391189 - 0.123726i) q^{30} +(0.388449 + 0.672814i) q^{31} +(5.62227 + 0.624534i) q^{32} +(-5.39367 + 7.27764i) q^{33} +(-6.12098 + 0.506709i) q^{34} +(0.000566762 - 0.133705i) q^{35} +(5.98802 + 0.379029i) q^{36} +(-5.64349 - 9.77481i) q^{37} +(4.83033 + 2.27996i) q^{38} +(2.47111 + 5.69490i) q^{39} +(-0.138573 + 0.0350562i) q^{40} +(-5.98295 - 3.45426i) q^{41} +(6.47658 + 0.232257i) q^{42} +(-0.0488634 + 0.0282113i) q^{43} +(9.79514 + 3.66916i) q^{44} +(-0.145051 + 0.0441073i) q^{45} +(-1.54502 - 2.22861i) q^{46} +(2.67070 - 4.62578i) q^{47} +(-1.48607 - 6.76695i) q^{48} +(6.99975 + 0.0593434i) q^{49} +(-5.80820 + 4.02663i) q^{50} +(2.99430 + 6.90065i) q^{51} +(5.53404 - 4.55617i) q^{52} +(0.804472 - 1.39339i) q^{53} +(-1.91463 - 7.09466i) q^{54} -0.264300 q^{55} +(-1.80455 - 7.26248i) q^{56} +(0.745459 - 6.49921i) q^{57} +(4.79179 + 2.26176i) q^{58} +(-3.83401 - 6.64069i) q^{59} +(0.0951444 + 0.146951i) q^{60} +(8.37680 + 4.83635i) q^{61} +(-0.993581 - 0.468979i) q^{62} +(-2.27696 - 7.60365i) q^{63} +(-7.03760 + 3.80422i) q^{64} +(-0.0905646 + 0.156862i) q^{65} +(0.404835 - 12.8042i) q^{66} +(8.22450 - 4.74842i) q^{67} +(6.70573 - 5.52082i) q^{68} +(-1.97757 + 2.66832i) q^{69} +(0.107073 + 0.155853i) q^{70} -10.8805i q^{71} +(-7.26487 + 4.38425i) q^{72} +(3.81483 + 2.20250i) q^{73} +(14.4350 + 6.81344i) q^{74} +(6.95416 + 5.15393i) q^{75} +(-7.45102 + 1.24214i) q^{76} +(0.0586531 - 13.8369i) q^{77} +(-7.46060 - 4.62774i) q^{78} +(-2.99533 - 1.72936i) q^{79} +(0.132808 - 0.152397i) q^{80} +(-7.47649 + 5.01020i) q^{81} +(9.73681 - 0.806036i) q^{82} +(5.85500 + 10.1412i) q^{83} +(-7.71443 + 4.94849i) q^{84} +(-0.109739 + 0.190074i) q^{85} +(0.0340597 - 0.0721591i) q^{86} +(0.739511 - 6.44735i) q^{87} +(-14.3406 + 3.62790i) q^{88} +(-4.18478 + 2.41609i) q^{89} +(0.133044 - 0.168136i) q^{90} +(-8.19213 - 4.77614i) q^{91} +(3.59135 + 1.34528i) q^{92} +(-0.153338 + 1.33686i) q^{93} +(0.623195 + 7.52812i) q^{94} +(0.165300 - 0.0954357i) q^{95} +(7.17955 + 6.66739i) q^{96} +(-1.35274 + 0.781004i) q^{97} +(-8.18316 + 5.57099i) q^{98} +(-15.0110 + 4.56458i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 84 q - q^{2} + q^{4} - 16 q^{8} - 14 q^{9}+O(q^{10}) \) 84 * q - q^2 + q^4 - 16 * q^8 - 14 * q^9	\( 84 q - q^{2} + q^{4} - 16 q^{8} - 14 q^{9} - 18 q^{10} + 9 q^{12} - 18 q^{13} - 25 q^{14} - 7 q^{16} + 6 q^{17} - 13 q^{18} + 24 q^{20} + 4 q^{21} + 6 q^{22} + 6 q^{24} - 32 q^{25} - 30 q^{26} - 4 q^{28} + 10 q^{29} + 14 q^{30} + 9 q^{32} - 6 q^{33} + 24 q^{34} - 38 q^{36} + 2 q^{37} - 6 q^{41} + 7 q^{42} - 13 q^{44} - 18 q^{45} + 10 q^{46} - 9 q^{48} + 2 q^{49} - 17 q^{50} - 2 q^{53} - 42 q^{54} - 32 q^{56} + 6 q^{57} + 26 q^{58} + 8 q^{60} - 24 q^{61} - 8 q^{64} + 50 q^{65} + 27 q^{66} + 18 q^{69} - 4 q^{70} - 7 q^{72} + 30 q^{73} + 46 q^{74} + 46 q^{77} + 15 q^{78} + 3 q^{80} - 26 q^{81} - 18 q^{82} + 29 q^{84} - 50 q^{85} + 18 q^{86} - 2 q^{88} - 102 q^{89} + 39 q^{90} + 28 q^{92} - 24 q^{93} + 3 q^{94} - 30 q^{96} - 6 q^{97} + 21 q^{98}+O(q^{100}) \) 84 * q - q^2 + q^4 - 16 * q^8 - 14 * q^9 - 18 * q^10 + 9 * q^12 - 18 * q^13 - 25 * q^14 - 7 * q^16 + 6 * q^17 - 13 * q^18 + 24 * q^20 + 4 * q^21 + 6 * q^22 + 6 * q^24 - 32 * q^25 - 30 * q^26 - 4 * q^28 + 10 * q^29 + 14 * q^30 + 9 * q^32 - 6 * q^33 + 24 * q^34 - 38 * q^36 + 2 * q^37 - 6 * q^41 + 7 * q^42 - 13 * q^44 - 18 * q^45 + 10 * q^46 - 9 * q^48 + 2 * q^49 - 17 * q^50 - 2 * q^53 - 42 * q^54 - 32 * q^56 + 6 * q^57 + 26 * q^58 + 8 * q^60 - 24 * q^61 - 8 * q^64 + 50 * q^65 + 27 * q^66 + 18 * q^69 - 4 * q^70 - 7 * q^72 + 30 * q^73 + 46 * q^74 + 46 * q^77 + 15 * q^78 + 3 * q^80 - 26 * q^81 - 18 * q^82 + 29 * q^84 - 50 * q^85 + 18 * q^86 - 2 * q^88 - 102 * q^89 + 39 * q^90 + 28 * q^92 - 24 * q^93 + 3 * q^94 - 30 * q^96 - 6 * q^97 + 21 * q^98

Introduction

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