LMFDB - Embedded newform 570.2.u.d.511.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [570,2,Mod(61,570)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(570, base_ring=CyclotomicField(18))

chi = DirichletCharacter(H, H._module([0, 0, 2]))

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

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

chi := DirichletCharacter("570.61");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 570 = 2 \cdot 3 \cdot 5 \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	570.u (of order $9$, degree $6$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$4.55147291521$
Analytic rank:	$0$
Dimension:	$6$
Coefficient field:	$\Q(\zeta_{18})$
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{6} - x^{3} + 1 $ x^6 - x^3 + 1
Coefficient ring:	$\Z[a_1, a_2]$
Coefficient ring index:	$ 1 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label			511.1
Root			$-0.766044 - 0.642788i$ of defining polynomial
Character	$\chi$	$=$	570.511
Dual form			570.2.u.d.541.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.173648 + 0.984808i) q^{2} +(-0.766044 - 0.642788i) q^{3} +(-0.939693 - 0.342020i) q^{4} +(0.939693 - 0.342020i) q^{5} +(0.766044 - 0.642788i) q^{6} +(-0.326352 - 0.565258i) q^{7} +(0.500000 - 0.866025i) q^{8} +(0.173648 + 0.984808i) q^{9} +O(q^{10})$	\(q+(-0.173648 + 0.984808i) q^{2} +(-0.766044 - 0.642788i) q^{3} +(-0.939693 - 0.342020i) q^{4} +(0.939693 - 0.342020i) q^{5} +(0.766044 - 0.642788i) q^{6} +(-0.326352 - 0.565258i) q^{7} +(0.500000 - 0.866025i) q^{8} +(0.173648 + 0.984808i) q^{9} +(0.173648 + 0.984808i) q^{10} +(-1.78699 + 3.09516i) q^{11} +(0.500000 + 0.866025i) q^{12} +(2.61334 - 2.19285i) q^{13} +(0.613341 - 0.223238i) q^{14} +(-0.939693 - 0.342020i) q^{15} +(0.766044 + 0.642788i) q^{16} +(0.733956 - 4.16247i) q^{17} -1.00000 q^{18} +(3.50000 - 2.59808i) q^{19} -1.00000 q^{20} +(-0.113341 + 0.642788i) q^{21} +(-2.73783 - 2.29731i) q^{22} +(7.02481 + 2.55682i) q^{23} +(-0.939693 + 0.342020i) q^{24} +(0.766044 - 0.642788i) q^{25} +(1.70574 + 2.95442i) q^{26} +(0.500000 - 0.866025i) q^{27} +(0.113341 + 0.642788i) q^{28} +(-1.56031 - 8.84894i) q^{29} +(0.500000 - 0.866025i) q^{30} +(-1.81908 - 3.15074i) q^{31} +(-0.766044 + 0.642788i) q^{32} +(3.35844 - 1.22237i) q^{33} +(3.97178 + 1.44561i) q^{34} +(-0.500000 - 0.419550i) q^{35} +(0.173648 - 0.984808i) q^{36} +5.57398 q^{37} +(1.95084 + 3.89798i) q^{38} -3.41147 q^{39} +(0.173648 - 0.984808i) q^{40} +(1.40760 + 1.18112i) q^{41} +(-0.613341 - 0.223238i) q^{42} +(4.33750 - 1.57872i) q^{43} +(2.73783 - 2.29731i) q^{44} +(0.500000 + 0.866025i) q^{45} +(-3.73783 + 6.47410i) q^{46} +(1.99273 + 11.3013i) q^{47} +(-0.173648 - 0.984808i) q^{48} +(3.28699 - 5.69323i) q^{49} +(0.500000 + 0.866025i) q^{50} +(-3.23783 + 2.71686i) q^{51} +(-3.20574 + 1.16679i) q^{52} +(11.5103 + 4.18939i) q^{53} +(0.766044 + 0.642788i) q^{54} +(-0.620615 + 3.51968i) q^{55} -0.652704 q^{56} +(-4.35117 - 0.259515i) q^{57} +8.98545 q^{58} +(-2.08853 + 11.8446i) q^{59} +(0.766044 + 0.642788i) q^{60} +(-14.0633 - 5.11862i) q^{61} +(3.41875 - 1.24432i) q^{62} +(0.500000 - 0.419550i) q^{63} +(-0.500000 - 0.866025i) q^{64} +(1.70574 - 2.95442i) q^{65} +(0.620615 + 3.51968i) q^{66} +(-0.256244 - 1.45323i) q^{67} +(-2.11334 + 3.66041i) q^{68} +(-3.73783 - 6.47410i) q^{69} +(0.500000 - 0.419550i) q^{70} +(9.76991 - 3.55596i) q^{71} +(0.939693 + 0.342020i) q^{72} +(-9.54576 - 8.00984i) q^{73} +(-0.967911 + 5.48930i) q^{74} -1.00000 q^{75} +(-4.17752 + 1.24432i) q^{76} +2.33275 q^{77} +(0.592396 - 3.35965i) q^{78} +(-5.63950 - 4.73210i) q^{79} +(0.939693 + 0.342020i) q^{80} +(-0.939693 + 0.342020i) q^{81} +(-1.40760 + 1.18112i) q^{82} +(-2.79813 - 4.84651i) q^{83} +(0.326352 - 0.565258i) q^{84} +(-0.733956 - 4.16247i) q^{85} +(0.801537 + 4.54574i) q^{86} +(-4.49273 + 7.78163i) q^{87} +(1.78699 + 3.09516i) q^{88} +(-7.25877 + 6.09083i) q^{89} +(-0.939693 + 0.342020i) q^{90} +(-2.09240 - 0.761570i) q^{91} +(-5.72668 - 4.80526i) q^{92} +(-0.631759 + 3.58288i) q^{93} -11.4757 q^{94} +(2.40033 - 3.63846i) q^{95} +1.00000 q^{96} +(-1.09492 + 6.20961i) q^{97} +(5.03596 + 4.22567i) q^{98} +(-3.35844 - 1.22237i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 6 q - 3 q^{7} + 3 q^{8}+O(q^{10}) $ 6 * q - 3 * q^7 + 3 * q^8	$ 6 q - 3 q^{7} + 3 q^{8} - 3 q^{11} + 3 q^{12} + 9 q^{13} - 3 q^{14} + 9 q^{17} - 6 q^{18} + 21 q^{19} - 6 q^{20} + 6 q^{21} + 3 q^{22} + 15 q^{23} + 3 q^{27} - 6 q^{28} - 15 q^{29} + 3 q^{30} + 6 q^{31} + 12 q^{33} + 9 q^{34} - 3 q^{35} + 18 q^{37} + 12 q^{41} + 3 q^{42} + 21 q^{43} - 3 q^{44} + 3 q^{45} - 3 q^{46} - 6 q^{47} + 12 q^{49} + 3 q^{50} - 9 q^{52} + 6 q^{53} - 15 q^{55} - 6 q^{56} + 18 q^{58} - 33 q^{59} - 9 q^{61} + 18 q^{62} + 3 q^{63} - 3 q^{64} + 15 q^{66} + 6 q^{67} - 6 q^{68} - 3 q^{69} + 3 q^{70} + 30 q^{71} - 27 q^{73} - 15 q^{74} - 6 q^{75} - 24 q^{77} + 9 q^{79} - 12 q^{82} - 3 q^{83} + 3 q^{84} - 9 q^{85} + 33 q^{86} - 9 q^{87} + 3 q^{88} - 21 q^{89} - 9 q^{91} - 21 q^{92} - 9 q^{93} - 30 q^{94} + 6 q^{96} + 12 q^{97} - 3 q^{98} - 12 q^{99}+O(q^{100}) $ 6 * q - 3 * q^7 + 3 * q^8 - 3 * q^11 + 3 * q^12 + 9 * q^13 - 3 * q^14 + 9 * q^17 - 6 * q^18 + 21 * q^19 - 6 * q^20 + 6 * q^21 + 3 * q^22 + 15 * q^23 + 3 * q^27 - 6 * q^28 - 15 * q^29 + 3 * q^30 + 6 * q^31 + 12 * q^33 + 9 * q^34 - 3 * q^35 + 18 * q^37 + 12 * q^41 + 3 * q^42 + 21 * q^43 - 3 * q^44 + 3 * q^45 - 3 * q^46 - 6 * q^47 + 12 * q^49 + 3 * q^50 - 9 * q^52 + 6 * q^53 - 15 * q^55 - 6 * q^56 + 18 * q^58 - 33 * q^59 - 9 * q^61 + 18 * q^62 + 3 * q^63 - 3 * q^64 + 15 * q^66 + 6 * q^67 - 6 * q^68 - 3 * q^69 + 3 * q^70 + 30 * q^71 - 27 * q^73 - 15 * q^74 - 6 * q^75 - 24 * q^77 + 9 * q^79 - 12 * q^82 - 3 * q^83 + 3 * q^84 - 9 * q^85 + 33 * q^86 - 9 * q^87 + 3 * q^88 - 21 * q^89 - 9 * q^91 - 21 * q^92 - 9 * q^93 - 30 * q^94 + 6 * q^96 + 12 * q^97 - 3 * q^98 - 12 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/570\mathbb{Z}\right)^\times$.

$n$	$191$	$211$	$457$
$\chi(n)$	$1$	$e\left(\frac{5}{9}\right)$	$1$

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 $

$2$	−0.173648	+	0.984808i	−0.122788	+	0.696364i
$2$	−0.173648	+	0.984808i	−0.122788	+	0.696364i
$3$	−0.766044	−	0.642788i	−0.442276	−	0.371114i
$3$	−0.766044	−	0.642788i	−0.442276	−	0.371114i
$4$	−0.939693	−	0.342020i	−0.469846	−	0.171010i
$5$	0.939693	−	0.342020i	0.420243	−	0.152956i
$5$	0.939693	−	0.342020i	0.420243	−	0.152956i
$6$	0.766044	−	0.642788i	0.312736	−	0.262417i
$7$	−0.326352	−	0.565258i	−0.123349	−	0.213647i	0.797737	−	0.603005i	$-0.206030\pi$
$7$	−0.326352	−	0.565258i	−0.123349	−	0.213647i	−0.921087	+	0.389358i	$0.872697\pi$
$8$	0.500000	−	0.866025i	0.176777	−	0.306186i
$9$	0.173648	+	0.984808i	0.0578827	+	0.328269i
$10$	0.173648	+	0.984808i	0.0549124	+	0.311424i
$11$	−1.78699	+	3.09516i	−0.538797	+	0.933225i	0.460172	+	0.887830i	$0.347788\pi$
$11$	−1.78699	+	3.09516i	−0.538797	+	0.933225i	−0.998969	+	0.0453946i	$0.985545\pi$
$12$	0.500000	+	0.866025i	0.144338	+	0.250000i
$13$	2.61334	−	2.19285i	0.724810	−	0.608188i	−0.203901	−	0.978992i	$-0.565362\pi$
$13$	2.61334	−	2.19285i	0.724810	−	0.608188i	0.928711	+	0.370803i	$0.120918\pi$
$14$	0.613341	−	0.223238i	0.163922	−	0.0596628i
$15$	−0.939693	−	0.342020i	−0.242628	−	0.0883092i
$16$	0.766044	+	0.642788i	0.191511	+	0.160697i
$17$	0.733956	−	4.16247i	0.178010	−	1.00955i	−0.756601	−	0.653877i	$-0.773142\pi$
$17$	0.733956	−	4.16247i	0.178010	−	1.00955i	0.934611	−	0.355670i	$-0.115747\pi$
$18$	−1.00000			−0.235702
$19$	3.50000	−	2.59808i	0.802955	−	0.596040i
$19$	3.50000	−	2.59808i	0.802955	−	0.596040i
$20$	−1.00000			−0.223607
$21$	−0.113341	+	0.642788i	−0.0247330	+	0.140268i
$22$	−2.73783	−	2.29731i	−0.583706	−	0.489788i
$23$	7.02481	+	2.55682i	1.46478	+	0.533135i	0.946676	−	0.322186i	$-0.104418\pi$
$23$	7.02481	+	2.55682i	1.46478	+	0.533135i	0.518099	+	0.855321i	$0.326640\pi$
$24$	−0.939693	+	0.342020i	−0.191814	+	0.0698146i
$25$	0.766044	−	0.642788i	0.153209	−	0.128558i
$26$	1.70574	+	2.95442i	0.334523	+	0.579410i
$27$	0.500000	−	0.866025i	0.0962250	−	0.166667i
$28$	0.113341	+	0.642788i	0.0214194	+	0.121475i
$29$	−1.56031	−	8.84894i	−0.289742	−	1.64321i	−0.687838	−	0.725864i	$-0.741440\pi$
$29$	−1.56031	−	8.84894i	−0.289742	−	1.64321i	0.398097	−	0.917344i	$-0.369671\pi$
$30$	0.500000	−	0.866025i	0.0912871	−	0.158114i
$31$	−1.81908	−	3.15074i	−0.326716	−	0.565889i	0.655142	−	0.755506i	$-0.272609\pi$
$31$	−1.81908	−	3.15074i	−0.326716	−	0.565889i	−0.981858	+	0.189617i	$0.939275\pi$
$32$	−0.766044	+	0.642788i	−0.135419	+	0.113630i
$33$	3.35844	−	1.22237i	0.584629	−	0.212788i
$34$	3.97178	+	1.44561i	0.681155	+	0.247920i
$35$	−0.500000	−	0.419550i	−0.0845154	−	0.0709169i
$36$	0.173648	−	0.984808i	0.0289414	−	0.164135i
$37$	5.57398			0.916356			0.458178	−	0.888860i	$-0.348502\pi$
$37$	5.57398			0.916356			0.458178	+	0.888860i	$0.348502\pi$
$38$	1.95084	+	3.89798i	0.316468	+	0.632336i
$39$	−3.41147			−0.546273
$40$	0.173648	−	0.984808i	0.0274562	−	0.155712i
$41$	1.40760	+	1.18112i	0.219831	+	0.184460i	0.746052	−	0.665888i	$-0.231947\pi$
$41$	1.40760	+	1.18112i	0.219831	+	0.184460i	−0.526221	+	0.850348i	$0.676392\pi$
$42$	−0.613341	−	0.223238i	−0.0946405	−	0.0344463i
$43$	4.33750	−	1.57872i	0.661462	−	0.240752i	0.0105945	−	0.999944i	$-0.496628\pi$
$43$	4.33750	−	1.57872i	0.661462	−	0.240752i	0.650867	+	0.759191i	$0.274405\pi$
$44$	2.73783	−	2.29731i	0.412743	−	0.346332i
$45$	0.500000	+	0.866025i	0.0745356	+	0.129099i
$46$	−3.73783	+	6.47410i	−0.551112	+	0.954555i
$47$	1.99273	+	11.3013i	0.290669	+	1.64847i	0.684303	+	0.729198i	$0.260107\pi$
$47$	1.99273	+	11.3013i	0.290669	+	1.64847i	−0.393634	+	0.919267i	$0.628782\pi$
$48$	−0.173648	−	0.984808i	−0.0250640	−	0.142145i
$49$	3.28699	−	5.69323i	0.469570	−	0.813319i
$50$	0.500000	+	0.866025i	0.0707107	+	0.122474i
$51$	−3.23783	+	2.71686i	−0.453386	+	0.380436i
$52$	−3.20574	+	1.16679i	−0.444556	+	0.161805i
$53$	11.5103	+	4.18939i	1.58106	+	0.575458i	0.975434	−	0.220294i	$-0.0707017\pi$
$53$	11.5103	+	4.18939i	1.58106	+	0.575458i	0.605623	+	0.795752i	$0.292924\pi$
$54$	0.766044	+	0.642788i	0.104245	+	0.0874723i
$55$	−0.620615	+	3.51968i	−0.0836837	+	0.474594i
$56$	−0.652704			−0.0872212
$57$	−4.35117	−	0.259515i	−0.576326	−	0.0343736i
$58$	8.98545			1.17985
$59$	−2.08853	+	11.8446i	−0.271903	+	1.54204i	0.476728	+	0.879051i	$0.341823\pi$
$59$	−2.08853	+	11.8446i	−0.271903	+	1.54204i	−0.748631	+	0.662987i	$0.769288\pi$
$60$	0.766044	+	0.642788i	0.0988959	+	0.0829835i
$61$	−14.0633	−	5.11862i	−1.80062	−	0.655372i	−0.998288	−	0.0584965i	$-0.981369\pi$
$61$	−14.0633	−	5.11862i	−1.80062	−	0.655372i	−0.802333	−	0.596876i	$-0.796408\pi$
$62$	3.41875	−	1.24432i	0.434181	−	0.158029i
$63$	0.500000	−	0.419550i	0.0629941	−	0.0528583i
$64$	−0.500000	−	0.866025i	−0.0625000	−	0.108253i
$65$	1.70574	−	2.95442i	0.211571	−	0.366451i
$66$	0.620615	+	3.51968i	0.0763924	+	0.433243i
$67$	−0.256244	−	1.45323i	−0.0313052	−	0.177541i	0.965146	−	0.261712i	$-0.0842869\pi$
$67$	−0.256244	−	1.45323i	−0.0313052	−	0.177541i	−0.996451	+	0.0841709i	$0.973176\pi$
$68$	−2.11334	+	3.66041i	−0.256280	+	0.443890i
$69$	−3.73783	−	6.47410i	−0.449981	−	0.779391i
$70$	0.500000	−	0.419550i	0.0597614	−	0.0501458i
$71$	9.76991	−	3.55596i	1.15948	−	0.422015i	0.310566	−	0.950552i	$-0.399482\pi$
$71$	9.76991	−	3.55596i	1.15948	−	0.422015i	0.848910	+	0.528537i	$0.177259\pi$
$72$	0.939693	+	0.342020i	0.110744	+	0.0403075i
$73$	−9.54576	−	8.00984i	−1.11725	−	0.937481i	−0.118785	−	0.992920i	$-0.537900\pi$
$73$	−9.54576	−	8.00984i	−1.11725	−	0.937481i	−0.998462	+	0.0554388i	$0.982344\pi$
$74$	−0.967911	+	5.48930i	−0.112517	+	0.638118i
$75$	−1.00000			−0.115470
$76$	−4.17752	+	1.24432i	−0.479194	+	0.142734i
$77$	2.33275			0.265841
$78$	0.592396	−	3.35965i	0.0670757	−	0.380405i
$79$	−5.63950	−	4.73210i	−0.634493	−	0.532403i	0.267828	−	0.963467i	$-0.413694\pi$
$79$	−5.63950	−	4.73210i	−0.634493	−	0.532403i	−0.902322	+	0.431064i	$0.858138\pi$
$80$	0.939693	+	0.342020i	0.105061	+	0.0382390i
$81$	−0.939693	+	0.342020i	−0.104410	+	0.0380022i
$82$	−1.40760	+	1.18112i	−0.155444	+	0.130433i
$83$	−2.79813	−	4.84651i	−0.307135	−	0.531973i	0.670599	−	0.741820i	$-0.266037\pi$
$83$	−2.79813	−	4.84651i	−0.307135	−	0.531973i	−0.977734	+	0.209846i	$0.932704\pi$
$84$	0.326352	−	0.565258i	0.0356079	−	0.0616747i
$85$	−0.733956	−	4.16247i	−0.0796087	−	0.451483i
$86$	0.801537	+	4.54574i	0.0864319	+	0.490180i
$87$	−4.49273	+	7.78163i	−0.481671	+	0.834278i
$88$	1.78699	+	3.09516i	0.190494	+	0.329945i
$89$	−7.25877	+	6.09083i	−0.769428	+	0.645627i	−0.940562	−	0.339621i	$-0.889701\pi$
$89$	−7.25877	+	6.09083i	−0.769428	+	0.645627i	0.171134	+	0.985248i	$0.445257\pi$
$90$	−0.939693	+	0.342020i	−0.0990523	+	0.0360521i
$91$	−2.09240	−	0.761570i	−0.219343	−	0.0798342i
$92$	−5.72668	−	4.80526i	−0.597048	−	0.500983i
$93$	−0.631759	+	3.58288i	−0.0655104	+	0.371528i
$94$	−11.4757			−1.18362
$95$	2.40033	−	3.63846i	0.246269	−	0.373298i
$96$	1.00000			0.102062
$97$	−1.09492	+	6.20961i	−0.111173	+	0.630491i	0.877402	+	0.479756i	$0.159275\pi$
$97$	−1.09492	+	6.20961i	−0.111173	+	0.630491i	−0.988574	+	0.150734i	$0.951836\pi$
$98$	5.03596	+	4.22567i	0.508709	+	0.426857i
$99$	−3.35844	−	1.22237i	−0.337536	−	0.122853i
$100$	−0.939693	+	0.342020i	−0.0939693	+	0.0342020i
$101$	−12.3610	+	10.3721i	−1.22996	+	1.03206i	−0.231721	+	0.972782i	$0.574436\pi$
$101$	−12.3610	+	10.3721i	−1.22996	+	1.03206i	−0.998241	+	0.0592785i	$0.981120\pi$
$102$	−2.11334	−	3.66041i	−0.209252	−	0.362435i
$103$	0.330222	−	0.571962i	0.0325378	−	0.0563571i	−0.849298	−	0.527914i	$-0.822974\pi$
$103$	0.330222	−	0.571962i	0.0325378	−	0.0563571i	0.881836	+	0.471557i	$0.156308\pi$
$104$	−0.592396	−	3.35965i	−0.0580892	−	0.329440i
$105$	0.113341	+	0.642788i	0.0110609	+	0.0627296i
$106$	−6.12449	+	10.6079i	−0.594863	+	1.03033i
$107$	−2.71941	−	4.71015i	−0.262895	−	0.455348i	0.704115	−	0.710086i	$-0.251344\pi$
$107$	−2.71941	−	4.71015i	−0.262895	−	0.455348i	−0.967010	+	0.254738i	$0.918011\pi$
$108$	−0.766044	+	0.642788i	−0.0737127	+	0.0618523i
$109$	16.5077	−	6.00833i	1.58115	−	0.575493i	0.605700	−	0.795693i	$-0.292893\pi$
$109$	16.5077	−	6.00833i	1.58115	−	0.575493i	0.975455	+	0.220200i	$0.0706709\pi$
$110$	−3.35844	−	1.22237i	−0.320215	−	0.116549i
$111$	−4.26991	−	3.58288i	−0.405282	−	0.340072i
$112$	0.113341	−	0.642788i	0.0107097	−	0.0607377i
$113$	2.21213			0.208100			0.104050	−	0.994572i	$-0.466820\pi$
$113$	2.21213			0.208100			0.104050	+	0.994572i	$0.466820\pi$
$114$	1.01114	−	4.24000i	0.0947023	−	0.397112i
$115$	7.47565			0.697108
$116$	−1.56031	+	8.84894i	−0.144871	+	0.821604i
$117$	2.61334	+	2.19285i	0.241603	+	0.202729i
$118$	−11.3020	−	4.11359i	−1.04043	−	0.378687i
$119$	−2.59240	+	0.943555i	−0.237645	+	0.0864956i
$120$	−0.766044	+	0.642788i	−0.0699300	+	0.0586782i
$121$	−0.886659	−	1.53574i	−0.0806054	−	0.139613i
$122$	7.48293	−	12.9608i	0.677472	−	1.17342i
$123$	−0.319078	−	1.80958i	−0.0287703	−	0.163164i
$124$	0.631759	+	3.58288i	0.0567336	+	0.321752i
$125$	0.500000	−	0.866025i	0.0447214	−	0.0774597i
$126$	0.326352	+	0.565258i	0.0290737	+	0.0503572i
$127$	−4.86824	+	4.08494i	−0.431987	+	0.362480i	−0.832701	−	0.553723i	$-0.813206\pi$
$127$	−4.86824	+	4.08494i	−0.431987	+	0.362480i	0.400714	+	0.916203i	$0.368762\pi$
$128$	0.939693	−	0.342020i	0.0830579	−	0.0302306i
$129$	−4.33750	−	1.57872i	−0.381895	−	0.138999i
$130$	2.61334	+	2.19285i	0.229205	+	0.192326i
$131$	−0.204393	+	1.15917i	−0.0178579	+	0.101277i	−0.992434	−	0.122780i	$-0.960819\pi$
$131$	−0.204393	+	1.15917i	−0.0178579	+	0.101277i	0.974576	+	0.224057i	$0.0719302\pi$
$132$	−3.57398			−0.311075
$133$	−2.61081	−	1.13052i	−0.226386	−	0.0980282i
$134$	1.47565			0.127477
$135$	0.173648	−	0.984808i	0.0149453	−	0.0847588i
$136$	−3.23783	−	2.71686i	−0.277641	−	0.232969i
$137$	−8.25150	−	3.00330i	−0.704973	−	0.256589i	−0.0354403	−	0.999372i	$-0.511283\pi$
$137$	−8.25150	−	3.00330i	−0.704973	−	0.256589i	−0.669533	+	0.742783i	$0.733506\pi$
$138$	7.02481	−	2.55682i	0.597992	−	0.217651i
$139$	−9.14409	+	7.67280i	−0.775591	+	0.650798i	−0.942134	−	0.335236i	$-0.891184\pi$
$139$	−9.14409	+	7.67280i	−0.775591	+	0.650798i	0.166543	+	0.986034i	$0.446740\pi$
$140$	0.326352	+	0.565258i	0.0275818	+	0.0477730i
$141$	5.73783	−	9.93821i	0.483212	−	0.836948i
$142$	1.80541	+	10.2390i	0.151506	+	0.859236i
$143$	2.11721	+	12.0073i	0.177050	+	1.00410i
$144$	−0.500000	+	0.866025i	−0.0416667	+	0.0721688i
$145$	−4.49273	−	7.78163i	−0.373101	−	0.646229i
$146$	9.54576	−	8.00984i	0.790013	−	0.662899i
$147$	−6.17752	+	2.24843i	−0.509513	+	0.185448i
$148$	−5.23783	−	1.90641i	−0.430547	−	0.156706i
$149$	1.19072	+	0.999135i	0.0975478	+	0.0818523i	0.690257	−	0.723564i	$-0.257497\pi$
$149$	1.19072	+	0.999135i	0.0975478	+	0.0818523i	−0.592710	+	0.805416i	$0.701942\pi$
$150$	0.173648	−	0.984808i	0.0141783	−	0.0804092i
$151$	−1.52940			−0.124461			−0.0622304	−	0.998062i	$-0.519821\pi$
$151$	−1.52940			−0.124461			−0.0622304	+	0.998062i	$0.519821\pi$
$152$	−0.500000	−	4.33013i	−0.0405554	−	0.351220i
$153$	4.22668			0.341707
$154$	−0.405078	+	2.29731i	−0.0326421	+	0.185122i
$155$	−2.78699	−	2.33856i	−0.223856	−	0.187838i
$156$	3.20574	+	1.16679i	0.256664	+	0.0934182i
$157$	−5.97818	+	2.17588i	−0.477111	+	0.173654i	−0.569371	−	0.822081i	$-0.692813\pi$
$157$	−5.97818	+	2.17588i	−0.477111	+	0.173654i	0.0922601	+	0.995735i	$0.470591\pi$
$158$	5.63950	−	4.73210i	0.448655	−	0.376466i
$159$	−6.12449	−	10.6079i	−0.485703	−	0.841263i
$160$	−0.500000	+	0.866025i	−0.0395285	+	0.0684653i
$161$	−0.847296	−	4.80526i	−0.0667763	−	0.378707i
$162$	−0.173648	−	0.984808i	−0.0136431	−	0.0773738i
$163$	1.36231	−	2.35959i	0.106704	−	0.184818i	−0.807729	−	0.589554i	$-0.799303\pi$
$163$	1.36231	−	2.35959i	0.106704	−	0.184818i	0.914433	+	0.404737i	$0.132637\pi$
$164$	−0.918748	−	1.59132i	−0.0717422	−	0.124261i
$165$	2.73783	−	2.29731i	0.213139	−	0.178845i
$166$	5.25877	−	1.91404i	0.408160	−	0.148558i
$167$	−6.75624	−	2.45907i	−0.522814	−	0.190289i	0.0671130	−	0.997745i	$-0.478621\pi$
$167$	−6.75624	−	2.45907i	−0.522814	−	0.190289i	−0.589927	+	0.807457i	$0.700843\pi$
$168$	0.500000	+	0.419550i	0.0385758	+	0.0323690i
$169$	−0.236482	+	1.34115i	−0.0181909	+	0.103166i
$170$	4.22668			0.324172
$171$	3.16637	+	2.99568i	0.242139	+	0.229085i
$172$	−4.61587			−0.351957
$173$	4.10994	−	23.3086i	0.312473	−	1.77212i	−0.273581	−	0.961849i	$-0.588208\pi$
$173$	4.10994	−	23.3086i	0.312473	−	1.77212i	0.586054	−	0.810272i	$-0.300681\pi$
$174$	−6.88326	−	5.77574i	−0.521818	−	0.437858i
$175$	−0.613341	−	0.223238i	−0.0463642	−	0.0168752i
$176$	−3.35844	+	1.22237i	−0.253152	+	0.0921398i
$177$	9.21348	−	7.73103i	0.692527	−	0.581099i
$178$	−4.73783	−	8.20616i	−0.355115	−	0.615077i
$179$	−3.51754	+	6.09256i	−0.262913	+	0.455379i	−0.967015	−	0.254720i	$-0.918017\pi$
$179$	−3.51754	+	6.09256i	−0.262913	+	0.455379i	0.704101	+	0.710099i	$0.251350\pi$
$180$	−0.173648	−	0.984808i	−0.0129430	−	0.0734032i
$181$	0.996130	+	5.64933i	0.0740417	+	0.419912i	0.999188	+	0.0402998i	$0.0128313\pi$
$181$	0.996130	+	5.64933i	0.0740417	+	0.419912i	−0.925146	+	0.379612i	$0.876058\pi$
$182$	1.11334	−	1.92836i	0.0825263	−	0.142940i
$183$	7.48293	+	12.9608i	0.553154	+	0.958090i
$184$	5.72668	−	4.80526i	0.422177	−	0.354248i
$185$	5.23783	−	1.90641i	0.385093	−	0.140162i
$186$	−3.41875	−	1.24432i	−0.250675	−	0.0912382i
$187$	11.5719	+	9.70999i	0.846222	+	0.710065i
$188$	1.99273	−	11.3013i	0.145334	−	0.824233i
$189$	−0.652704			−0.0474772
$190$	3.16637	+	2.99568i	0.229713	+	0.217329i
$191$	−20.3209			−1.47037			−0.735184	−	0.677868i	$-0.762904\pi$
$191$	−20.3209			−1.47037			−0.735184	+	0.677868i	$0.762904\pi$
$192$	−0.173648	+	0.984808i	−0.0125320	+	0.0710724i
$193$	3.36437	+	2.82304i	0.242173	+	0.203207i	0.755793	−	0.654811i	$-0.227252\pi$
$193$	3.36437	+	2.82304i	0.242173	+	0.203207i	−0.513620	+	0.858018i	$0.671696\pi$
$194$	−5.92514	−	2.15658i	−0.425401	−	0.154833i
$195$	−3.20574	+	1.16679i	−0.229568	+	0.0835558i
$196$	−5.03596	+	4.22567i	−0.359711	+	0.301834i
$197$	11.4829	+	19.8890i	0.818125	+	1.41703i	0.907062	+	0.420996i	$0.138319\pi$
$197$	11.4829	+	19.8890i	0.818125	+	1.41703i	−0.0889378	+	0.996037i	$0.528347\pi$
$198$	1.78699	−	3.09516i	0.126996	−	0.219963i
$199$	3.61468	+	20.4999i	0.256238	+	1.45320i	0.792874	+	0.609385i	$0.208584\pi$
$199$	3.61468	+	20.4999i	0.256238	+	1.45320i	−0.536636	+	0.843814i	$0.680305\pi$
$200$	−0.173648	−	0.984808i	−0.0122788	−	0.0696364i
$201$	−0.737826	+	1.27795i	−0.0520422	+	0.0901398i
$202$	−8.06805	−	13.9743i	−0.567666	−	0.983226i
$203$	−4.49273	+	3.76984i	−0.315328	+	0.264591i
$204$	3.97178	−	1.44561i	0.278080	−	0.101213i
$205$	1.72668	+	0.628461i	0.120597	+	0.0438936i
$206$	0.505930	+	0.424525i	0.0352498	+	0.0295781i
$207$	−1.29813	+	7.36208i	−0.0902265	+	0.511700i
$208$	3.41147			0.236543
$209$	1.78699	+	15.4758i	0.123609	+	1.07048i
$210$	−0.652704			−0.0450408
$211$	2.37686	−	13.4798i	0.163630	−	0.927990i	−0.786836	−	0.617162i	$-0.788282\pi$
$211$	2.37686	−	13.4798i	0.163630	−	0.927990i	0.950466	−	0.310829i	$-0.100606\pi$
$212$	−9.38326	−	7.87349i	−0.644445	−	0.540753i
$213$	−9.76991	−	3.55596i	−0.669424	−	0.243650i
$214$	5.11081	−	1.86018i	0.349368	−	0.127160i
$215$	3.53596	−	2.96702i	0.241150	−	0.202349i
$216$	−0.500000	−	0.866025i	−0.0340207	−	0.0589256i
$217$	−1.18732	+	2.05650i	−0.0806004	+	0.139604i
$218$	3.05051	+	17.3003i	0.206606	+	1.17172i
$219$	2.16385	+	12.2718i	0.146219	+	0.829251i
$220$	1.78699	−	3.09516i	0.120479	−	0.208675i
$221$	−7.20961	−	12.4874i	−0.484971	−	0.839994i
$222$	4.26991	−	3.58288i	0.286578	−	0.240467i
$223$	12.5680	−	4.57440i	0.841619	−	0.306324i	0.115000	−	0.993365i	$-0.463313\pi$
$223$	12.5680	−	4.57440i	0.841619	−	0.306324i	0.726618	+	0.687041i	$0.241091\pi$
$224$	0.613341	+	0.223238i	0.0409806	+	0.0149157i
$225$	0.766044	+	0.642788i	0.0510696	+	0.0428525i
$226$	−0.384133	+	2.17853i	−0.0255521	+	0.144913i
$227$	−3.63816			−0.241473			−0.120736	−	0.992685i	$-0.538526\pi$
$227$	−3.63816			−0.241473			−0.120736	+	0.992685i	$0.538526\pi$
$228$	4.00000	+	1.73205i	0.264906	+	0.114708i
$229$	23.8699			1.57737			0.788683	−	0.614800i	$-0.210763\pi$
$229$	23.8699			1.57737			0.788683	+	0.614800i	$0.210763\pi$
$230$	−1.29813	+	7.36208i	−0.0855964	+	0.485441i
$231$	−1.78699	−	1.49946i	−0.117575	−	0.0986573i
$232$	−8.44356	−	3.07321i	−0.554347	−	0.201766i
$233$	18.5030	−	6.73454i	1.21217	−	0.441194i	0.344715	−	0.938707i	$-0.387976\pi$
$233$	18.5030	−	6.73454i	1.21217	−	0.441194i	0.867456	+	0.497513i	$0.165753\pi$
$234$	−2.61334	+	2.19285i	−0.170839	+	0.143351i
$235$	5.73783	+	9.93821i	0.374294	+	0.648297i
$236$	6.01367	−	10.4160i	0.391457	−	0.678023i
$237$	1.27837	+	7.25000i	0.0830391	+	0.470938i
$238$	−0.479055	−	2.71686i	−0.0310526	−	0.176108i
$239$	−12.4179	+	21.5084i	−0.803245	+	1.39126i	0.114224	+	0.993455i	$0.463562\pi$
$239$	−12.4179	+	21.5084i	−0.803245	+	1.39126i	−0.917469	+	0.397807i	$0.869771\pi$
$240$	−0.500000	−	0.866025i	−0.0322749	−	0.0559017i
$241$	−3.34137	+	2.80374i	−0.215236	+	0.180605i	−0.744031	−	0.668145i	$-0.767089\pi$
$241$	−3.34137	+	2.80374i	−0.215236	+	0.180605i	0.528795	+	0.848750i	$0.322644\pi$
$242$	1.66637	−	0.606511i	0.107119	−	0.0389880i
$243$	0.939693	+	0.342020i	0.0602813	+	0.0219406i
$244$	11.4645	+	9.61986i	0.733940	+	0.615849i
$245$	1.14156	−	6.47410i	0.0729315	−	0.413615i
$246$	1.83750			0.117154
$247$	3.44949	−	14.4646i	0.219486	−	0.920363i
$248$	−3.63816			−0.231023
$249$	−0.971782	+	5.51125i	−0.0615842	+	0.349261i
$250$	0.766044	+	0.642788i	0.0484489	+	0.0406535i
$251$	−18.2506	−	6.64268i	−1.15197	−	0.419282i	−0.305747	−	0.952113i	$-0.598906\pi$
$251$	−18.2506	−	6.64268i	−1.15197	−	0.419282i	−0.846222	+	0.532830i	$0.821128\pi$
$252$	−0.613341	+	0.223238i	−0.0386368	+	0.0140627i
$253$	−20.4670	+	17.1739i	−1.28675	+	1.07971i
$254$	−3.17752	−	5.50362i	−0.199375	−	0.345328i
$255$	−2.11334	+	3.66041i	−0.132343	+	0.229224i
$256$	0.173648	+	0.984808i	0.0108530	+	0.0615505i
$257$	0.764700	+	4.33683i	0.0477007	+	0.270524i	0.999325	−	0.0367404i	$-0.0116975\pi$
$257$	0.764700	+	4.33683i	0.0477007	+	0.270524i	−0.951624	+	0.307265i	$0.900586\pi$
$258$	2.30793	−	3.99746i	0.143686	−	0.248871i
$259$	−1.81908	−	3.15074i	−0.113032	−	0.195777i
$260$	−2.61334	+	2.19285i	−0.162073	+	0.135995i
$261$	8.44356	−	3.07321i	0.522643	−	0.190227i
$262$	−1.10607	−	0.402575i	−0.0683330	−	0.0248712i
$263$	7.80793	+	6.55163i	0.481458	+	0.403991i	0.850953	−	0.525241i	$-0.176025\pi$
$263$	7.80793	+	6.55163i	0.481458	+	0.403991i	−0.369495	+	0.929233i	$0.620469\pi$
$264$	0.620615	−	3.51968i	0.0381962	−	0.216621i
$265$	12.2490			0.752448
$266$	1.56670	−	2.37484i	0.0960608	−	0.145611i
$267$	9.47565			0.579900
$268$	−0.256244	+	1.45323i	−0.0156526	+	0.0887704i
$269$	−7.23577	−	6.07153i	−0.441172	−	0.370188i	0.394975	−	0.918692i	$-0.370753\pi$
$269$	−7.23577	−	6.07153i	−0.441172	−	0.370188i	−0.836148	+	0.548504i	$0.815198\pi$
$270$	0.939693	+	0.342020i	0.0571879	+	0.0208147i
$271$	−19.0052	+	6.91733i	−1.15448	+	0.420198i	−0.847124	−	0.531395i	$-0.821668\pi$
$271$	−19.0052	+	6.91733i	−1.15448	+	0.420198i	−0.307360	+	0.951593i	$0.599446\pi$
$272$	3.23783	−	2.71686i	0.196322	−	0.164734i
$273$	1.11334	+	1.92836i	0.0673825	+	0.116710i
$274$	4.39053	−	7.60462i	0.265242	−	0.459412i
$275$	0.620615	+	3.51968i	0.0374245	+	0.212245i
$276$	1.29813	+	7.36208i	0.0781384	+	0.443145i
$277$	−4.57873	+	7.93059i	−0.275109	+	0.476503i	−0.970163	−	0.242455i	$-0.922047\pi$
$277$	−4.57873	+	7.93059i	−0.275109	+	0.476503i	0.695054	+	0.718958i	$0.255381\pi$
$278$	−5.96838	−	10.3375i	−0.357960	−	0.620004i
$279$	2.78699	−	2.33856i	0.166853	−	0.140006i
$280$	−0.613341	+	0.223238i	−0.0366541	+	0.0133410i
$281$	24.6411	+	8.96864i	1.46997	+	0.535024i	0.948092	−	0.317997i	$-0.103010\pi$
$281$	24.6411	+	8.96864i	1.46997	+	0.535024i	0.521876	+	0.853021i	$0.325232\pi$
$282$	8.79086	+	7.37641i	0.523488	+	0.439259i
$283$	1.61721	−	9.17166i	0.0961332	−	0.545199i	−0.898261	−	0.439462i	$-0.855169\pi$
$283$	1.61721	−	9.17166i	0.0961332	−	0.545199i	0.994394	−	0.105736i	$-0.0337199\pi$
$284$	−10.3969			−0.616944
$285$	−4.17752	+	1.24432i	−0.247455	+	0.0737073i
$286$	−12.1925			−0.720960
$287$	0.208263	−	1.18112i	0.0122934	−	0.0697193i
$288$	−0.766044	−	0.642788i	−0.0451396	−	0.0378766i
$289$	−0.812681	−	0.295792i	−0.0478048	−	0.0173995i
$290$	8.44356	−	3.07321i	0.495823	−	0.180465i
$291$	4.83022	−	4.05304i	0.283153	−	0.237593i
$292$	6.23055	+	10.7916i	0.364615	+	0.631533i
$293$	8.00387	−	13.8631i	0.467591	−	0.809892i	−0.531723	−	0.846918i	$-0.678455\pi$
$293$	8.00387	−	13.8631i	0.467591	−	0.809892i	0.999314	+	0.0370267i	$0.0117887\pi$
$294$	−1.14156	−	6.47410i	−0.0665771	−	0.377577i
$295$	2.08853	+	11.8446i	0.121599	+	0.689620i
$296$	2.78699	−	4.82721i	0.161990	−	0.280576i
$297$	1.78699	+	3.09516i	0.103692	+	0.179599i
$298$	−1.19072	+	0.999135i	−0.0689767	+	0.0578783i
$299$	23.9650	−	8.72254i	1.38593	−	0.504437i
$300$	0.939693	+	0.342020i	0.0542532	+	0.0197465i
$301$	−2.30793	−	1.93659i	−0.133027	−	0.111623i
$302$	0.265578	−	1.50617i	0.0152823	−	0.0866701i
$303$	16.1361			0.926995
$304$	4.35117	+	0.259515i	0.249557	+	0.0148842i
$305$	−14.9659			−0.856942
$306$	−0.733956	+	4.16247i	−0.0419574	+	0.237953i
$307$	13.5890	+	11.4025i	0.775565	+	0.650776i	0.942128	−	0.335255i	$-0.108822\pi$
$307$	13.5890	+	11.4025i	0.775565	+	0.650776i	−0.166563	+	0.986031i	$0.553267\pi$
$308$	−2.19207	−	0.797847i	−0.124905	−	0.0454615i
$309$	−0.620615	+	0.225885i	−0.0353055	+	0.0128502i
$310$	2.78699	−	2.33856i	0.158290	−	0.132821i
$311$	8.00253	+	13.8608i	0.453782	+	0.785973i	0.998617	−	0.0525700i	$-0.0167413\pi$
$311$	8.00253	+	13.8608i	0.453782	+	0.785973i	−0.544836	+	0.838543i	$0.683408\pi$
$312$	−1.70574	+	2.95442i	−0.0965683	+	0.167261i
$313$	2.58765	+	14.6753i	0.146263	+	0.829496i	0.966345	+	0.257250i	$0.0828165\pi$
$313$	2.58765	+	14.6753i	0.146263	+	0.829496i	−0.820082	+	0.572246i	$0.806072\pi$
$314$	−1.10472	−	6.26519i	−0.0623431	−	0.353565i
$315$	0.326352	−	0.565258i	0.0183878	−	0.0318487i
$316$	3.68092	+	6.37554i	0.207068	+	0.358652i
$317$	−7.77900	+	6.52736i	−0.436912	+	0.366613i	−0.834552	−	0.550929i	$-0.814274\pi$
$317$	−7.77900	+	6.52736i	−0.436912	+	0.366613i	0.397640	+	0.917541i	$0.369829\pi$
$318$	11.5103	−	4.18939i	0.645464	−	0.234930i
$319$	30.1771	+	10.9836i	1.68959	+	0.614962i
$320$	−0.766044	−	0.642788i	−0.0428232	−	0.0359329i
$321$	−0.944440	+	5.35619i	−0.0527135	+	0.298953i
$322$	4.87939			0.271918
$323$	−8.24557	−	16.4755i	−0.458796	−	0.916722i
$324$	1.00000			0.0555556
$325$	0.592396	−	3.35965i	0.0328602	−	0.186360i
$326$	2.08718	+	1.75135i	0.115598	+	0.0969985i
$327$	−16.5077	−	6.00833i	−0.912880	−	0.332261i
$328$	1.72668	−	0.628461i	0.0953400	−	0.0347009i
$329$	5.73783	−	4.81461i	0.316337	−	0.265438i
$330$	1.78699	+	3.09516i	0.0983705	+	0.170383i
$331$	10.5326	−	18.2429i	0.578922	−	1.00272i	−0.416682	−	0.909052i	$-0.636807\pi$
$331$	10.5326	−	18.2429i	0.578922	−	1.00272i	0.995603	−	0.0936692i	$-0.0298596\pi$
$332$	0.971782	+	5.51125i	0.0533334	+	0.302469i
$333$	0.967911	+	5.48930i	0.0530412	+	0.300812i
$334$	3.59492	−	6.22659i	0.196705	−	0.340704i
$335$	−0.737826	−	1.27795i	−0.0403117	−	0.0698220i
$336$	−0.500000	+	0.419550i	−0.0272772	+	0.0228883i
$337$	−5.14290	+	1.87186i	−0.280152	+	0.101967i	−0.478275	−	0.878210i	$-0.658738\pi$
$337$	−5.14290	+	1.87186i	−0.280152	+	0.101967i	0.198123	+	0.980177i	$0.436515\pi$
$338$	−1.27972	−	0.465778i	−0.0696073	−	0.0253350i
$339$	−1.69459	−	1.42193i	−0.0920376	−	0.0772288i
$340$	−0.733956	+	4.16247i	−0.0398043	+	0.225742i
$341$	13.0027			0.704135
$342$	−3.50000	+	2.59808i	−0.189258	+	0.140488i
$343$	−8.85978			−0.478383
$344$	0.801537	−	4.54574i	0.0432160	−	0.245090i
$345$	−5.72668	−	4.80526i	−0.308314	−	0.258706i
$346$	22.2408	+	8.09500i	1.19567	+	0.435190i
$347$	14.6220	−	5.32196i	0.784948	−	0.285698i	0.0817136	−	0.996656i	$-0.473961\pi$
$347$	14.6220	−	5.32196i	0.784948	−	0.285698i	0.703234	+	0.710958i	$0.251738\pi$
$348$	6.88326	−	5.77574i	0.368981	−	0.309612i
$349$	7.22075	+	12.5067i	0.386518	+	0.669469i	0.991979	−	0.126407i	$-0.0403444\pi$
$349$	7.22075	+	12.5067i	0.386518	+	0.669469i	−0.605461	+	0.795875i	$0.707011\pi$
$350$	0.326352	−	0.565258i	0.0174442	−	0.0302143i
$351$	−0.592396	−	3.35965i	−0.0316198	−	0.179325i
$352$	−0.620615	−	3.51968i	−0.0330789	−	0.187600i
$353$	−14.9368	+	25.8712i	−0.795003	+	1.37699i	0.127834	+	0.991796i	$0.459198\pi$
$353$	−14.9368	+	25.8712i	−0.795003	+	1.37699i	−0.922837	+	0.385190i	$0.874136\pi$
$354$	6.01367	+	10.4160i	0.319623	+	0.553603i
$355$	7.96451	−	6.68302i	0.422712	−	0.354698i
$356$	8.90420	−	3.24086i	0.471922	−	0.171765i
$357$	2.59240	+	0.943555i	0.137204	+	0.0499382i
$358$	−5.38919	−	4.52206i	−0.284827	−	0.238998i
$359$	−2.05556	+	11.6577i	−0.108488	+	0.615268i	0.881281	+	0.472592i	$0.156682\pi$
$359$	−2.05556	+	11.6577i	−0.108488	+	0.615268i	−0.989770	+	0.142675i	$0.954429\pi$
$360$	1.00000			0.0527046
$361$	5.50000	−	18.1865i	0.289474	−	0.957186i
$362$	−5.73648			−0.301503
$363$	−0.307934	+	1.74638i	−0.0161623	+	0.0916611i
$364$	1.70574	+	1.43128i	0.0894049	+	0.0750196i
$365$	−11.7096	−	4.26195i	−0.612909	−	0.223081i
$366$	−14.0633	+	5.11862i	−0.735100	+	0.267555i
$367$	−11.9081	+	9.99206i	−0.621596	+	0.521581i	−0.898305	−	0.439373i	$-0.855201\pi$
$367$	−11.9081	+	9.99206i	−0.621596	+	0.521581i	0.276709	+	0.960954i	$0.410756\pi$
$368$	3.73783	+	6.47410i	0.194848	+	0.337486i
$369$	−0.918748	+	1.59132i	−0.0478281	+	0.0828407i
$370$	0.967911	+	5.48930i	0.0503193	+	0.285375i
$371$	−1.38831	−	7.87349i	−0.0720774	−	0.408771i
$372$	1.81908	−	3.15074i	0.0943148	−	0.163358i
$373$	−9.86959	−	17.0946i	−0.511028	−	0.885126i	−0.999918	−	0.0127809i	$-0.995932\pi$
$373$	−9.86959	−	17.0946i	−0.511028	−	0.885126i	0.488891	−	0.872345i	$-0.337402\pi$
$374$	−11.5719	+	9.70999i	−0.598370	+	0.502092i
$375$	−0.939693	+	0.342020i	−0.0485255	+	0.0176618i
$376$	10.7836	+	3.92490i	0.556121	+	0.202411i
$377$	−23.4820	−	19.7038i	−1.20939	−	1.01480i
$378$	0.113341	−	0.642788i	0.00582962	−	0.0330614i
$379$	9.77601			0.502160			0.251080	−	0.967966i	$-0.419214\pi$
$379$	9.77601			0.502160			0.251080	+	0.967966i	$0.419214\pi$
$380$	−3.50000	+	2.59808i	−0.179546	+	0.133278i
$381$	6.35504			0.325578
$382$	3.52869	−	20.0122i	0.180543	−	1.02391i
$383$	−14.8739	−	12.4807i	−0.760022	−	0.637734i	0.178111	−	0.984010i	$-0.443002\pi$
$383$	−14.8739	−	12.4807i	−0.760022	−	0.637734i	−0.938133	+	0.346276i	$0.887446\pi$
$384$	−0.939693	−	0.342020i	−0.0479535	−	0.0174536i
$385$	2.19207	−	0.797847i	0.111718	−	0.0406620i
$386$	−3.36437	+	2.82304i	−0.171242	+	0.143689i
$387$	2.30793	+	3.99746i	0.117319	+	0.203202i
$388$	3.15270	−	5.46064i	0.160054	−	0.277222i
$389$	−5.22147	−	29.6124i	−0.264739	−	1.50141i	−0.769778	−	0.638312i	$-0.779633\pi$
$389$	−5.22147	−	29.6124i	−0.264739	−	1.50141i	0.505039	−	0.863097i	$-0.331478\pi$
$390$	−0.592396	−	3.35965i	−0.0299972	−	0.170122i
$391$	15.7986	−	27.3640i	0.798970	−	1.38386i
$392$	−3.28699	−	5.69323i	−0.166018	−	0.287552i
$393$	0.901674	−	0.756594i	0.0454834	−	0.0381651i
$394$	−21.5808	+	7.85478i	−1.08723	+	0.395718i
$395$	−6.91787	−	2.51790i	−0.348076	−	0.126689i
$396$	2.73783	+	2.29731i	0.137581	+	0.115444i
$397$	3.06118	−	17.3608i	0.153636	−	0.871316i	−0.806385	−	0.591390i	$-0.798579\pi$
$397$	3.06118	−	17.3608i	0.153636	−	0.871316i	0.960022	−	0.279925i	$-0.0903097\pi$
$398$	−20.8161			−1.04342
$399$	1.27332	+	2.54422i	0.0637457	+	0.127371i
$400$	1.00000			0.0500000
$401$	−1.07351	+	6.08818i	−0.0536086	+	0.304029i	−0.999809	−	0.0195522i	$-0.993776\pi$
$401$	−1.07351	+	6.08818i	−0.0536086	+	0.304029i	0.946200	+	0.323582i	$0.104887\pi$
$402$	−1.13041	−	0.948531i	−0.0563800	−	0.0473084i
$403$	−11.6630	−	4.24497i	−0.580974	−	0.211457i
$404$	15.1630	−	5.51887i	0.754386	−	0.274574i
$405$	−0.766044	+	0.642788i	−0.0380651	+	0.0319404i
$406$	−2.93242	−	5.07910i	−0.145533	−	0.252071i
$407$	−9.96064	+	17.2523i	−0.493730	+	0.855166i
$408$	0.733956	+	4.16247i	0.0363362	+	0.206073i
$409$	−0.690007	−	3.91322i	−0.0341187	−	0.193497i	0.962985	−	0.269556i	$-0.0868771\pi$
$409$	−0.690007	−	3.91322i	−0.0341187	−	0.193497i	−0.997103	+	0.0760599i	$0.975766\pi$
$410$	−0.918748	+	1.59132i	−0.0453737	+	0.0785896i
$411$	4.39053	+	7.60462i	0.216569	+	0.375108i
$412$	−0.505930	+	0.424525i	−0.0249254	+	0.0209149i
$413$	7.37686	−	2.68496i	0.362992	−	0.132118i
$414$	−7.02481	−	2.55682i	−0.345251	−	0.125661i
$415$	−4.28699	−	3.59721i	−0.210440	−	0.176580i
$416$	−0.592396	+	3.35965i	−0.0290446	+	0.164720i
$417$	11.9368			0.584545
$418$	−15.5510	−	0.927500i	−0.760623	−	0.0453655i
$419$	−6.76558			−0.330520			−0.165260	−	0.986250i	$-0.552846\pi$
$419$	−6.76558			−0.330520			−0.165260	+	0.986250i	$0.552846\pi$
$420$	0.113341	−	0.642788i	0.00553046	−	0.0313648i
$421$	−16.0123	−	13.4359i	−0.780393	−	0.654828i	0.162955	−	0.986634i	$-0.447898\pi$
$421$	−16.0123	−	13.4359i	−0.780393	−	0.654828i	−0.943348	+	0.331806i	$0.892342\pi$
$422$	12.8623	+	4.68150i	0.626128	+	0.227892i
$423$	−10.7836	+	3.92490i	−0.524316	+	0.190835i
$424$	9.38326	−	7.87349i	0.455691	−	0.382370i
$425$	−2.11334	−	3.66041i	−0.102512	−	0.177556i
$426$	5.19846	−	9.00400i	0.251866	−	0.436245i
$427$	1.69624	+	9.61986i	0.0820869	+	0.465538i
$428$	0.944440	+	5.35619i	0.0456512	+	0.258901i
$429$	6.09627	−	10.5590i	0.294331	−	0.509795i
$430$	2.30793	+	3.99746i	0.111298	+	0.192775i
$431$	−20.6878	+	17.3591i	−0.996496	+	0.836159i	−0.986495	−	0.163791i	$-0.947628\pi$
$431$	−20.6878	+	17.3591i	−0.996496	+	0.836159i	−0.0100005	+	0.999950i	$0.503183\pi$
$432$	0.939693	−	0.342020i	0.0452110	−	0.0164555i
$433$	18.8011	+	6.84305i	0.903524	+	0.328856i	0.751664	−	0.659546i	$-0.229251\pi$
$433$	18.8011	+	6.84305i	0.903524	+	0.328856i	0.151860	+	0.988402i	$0.451474\pi$
$434$	−1.81908	−	1.52639i	−0.0873185	−	0.0732689i
$435$	−1.56031	+	8.84894i	−0.0748110	+	0.424274i
$436$	−17.5672			−0.841315
$437$	31.2297	−	9.30212i	1.49392	−	0.444981i
$438$	−12.4611			−0.595415
$439$	−2.52734	+	14.3333i	−0.120623	+	0.684089i	0.863188	+	0.504883i	$0.168464\pi$
$439$	−2.52734	+	14.3333i	−0.120623	+	0.684089i	−0.983811	+	0.179207i	$0.942647\pi$
$440$	2.73783	+	2.29731i	0.130521	+	0.109520i
$441$	6.17752	+	2.24843i	0.294168	+	0.107068i
$442$	13.5496	−	4.93166i	0.644490	−	0.234575i
$443$	−0.645430	+	0.541580i	−0.0306653	+	0.0257312i	−0.657991	−	0.753025i	$-0.728594\pi$
$443$	−0.645430	+	0.541580i	−0.0306653	+	0.0257312i	0.627326	+	0.778757i	$0.284149\pi$
$444$	2.78699	+	4.82721i	0.132265	+	0.229089i
$445$	−4.73783	+	8.20616i	−0.224594	+	0.389009i
$446$	2.32248	+	13.1714i	0.109973	+	0.623686i
$447$	−0.269915	−	1.53076i	−0.0127665	−	0.0724026i
$448$	−0.326352	+	0.565258i	−0.0154187	+	0.0267059i
$449$	−6.63475	−	11.4917i	−0.313113	−	0.542328i	0.665921	−	0.746022i	$-0.268039\pi$
$449$	−6.63475	−	11.4917i	−0.313113	−	0.542328i	−0.979035	+	0.203694i	$0.934705\pi$
$450$	−0.766044	+	0.642788i	−0.0361117	+	0.0303013i
$451$	−6.17112	+	2.24610i	−0.290587	+	0.105765i
$452$	−2.07873	−	0.756594i	−0.0977750	−	0.0355872i
$453$	1.17159	+	0.983080i	0.0550460	+	0.0461891i
$454$	0.631759	−	3.58288i	0.0296499	−	0.168153i
$455$	−2.22668			−0.104388
$456$	−2.40033	+	3.63846i	−0.112406	+	0.170387i
$457$	−1.53890			−0.0719865			−0.0359933	−	0.999352i	$-0.511459\pi$
$457$	−1.53890			−0.0719865			−0.0359933	+	0.999352i	$0.511459\pi$
$458$	−4.14496	+	23.5073i	−0.193681	+	1.09842i
$459$	−3.23783	−	2.71686i	−0.151129	−	0.126812i
$460$	−7.02481	−	2.55682i	−0.327534	−	0.119213i
$461$	9.49660	−	3.45648i	0.442301	−	0.160984i	−0.111263	−	0.993791i	$-0.535490\pi$
$461$	9.49660	−	3.45648i	0.442301	−	0.160984i	0.553564	+	0.832807i	$0.313267\pi$
$462$	1.78699	−	1.49946i	0.0831383	−	0.0697613i
$463$	−17.2260	−	29.8362i	−0.800559	−	1.38661i	−0.919249	−	0.393677i	$-0.871203\pi$
$463$	−17.2260	−	29.8362i	−0.800559	−	1.38661i	0.118690	−	0.992931i	$-0.462130\pi$
$464$	4.49273	−	7.78163i	0.208570	−	0.361253i
$465$	0.631759	+	3.58288i	0.0292971	+	0.166152i
$466$	3.41921	+	19.3913i	0.158392	+	0.898286i
$467$	19.4179	−	33.6327i	0.898552	−	1.55634i	0.0692057	−	0.997602i	$-0.477954\pi$
$467$	19.4179	−	33.6327i	0.898552	−	1.55634i	0.829346	−	0.558735i	$-0.188713\pi$
$468$	−1.70574	−	2.95442i	−0.0788477	−	0.136568i
$469$	−0.737826	+	0.619109i	−0.0340696	+	0.0285878i
$470$	−10.7836	+	3.92490i	−0.497410	+	0.181042i
$471$	5.97818	+	2.17588i	0.275460	+	0.100259i
$472$	9.21348	+	7.73103i	0.424085	+	0.355849i
$473$	−2.86468	+	16.2464i	−0.131718	+	0.747009i
$474$	−7.36184			−0.338141
$475$	1.01114	−	4.24000i	0.0463945	−	0.194544i
$476$	2.75877			0.126448
$477$	−2.12701	+	12.0629i	−0.0973892	+	0.552321i
$478$	−19.0253	−	15.9641i	−0.870196	−	0.730181i
$479$	−38.5403	−	14.0275i	−1.76095	−	0.640934i	−0.760982	−	0.648773i	$-0.775282\pi$
$479$	−38.5403	−	14.0275i	−1.76095	−	0.640934i	−0.999969	+	0.00783942i	$0.997505\pi$
$480$	0.939693	−	0.342020i	0.0428909	−	0.0156110i
$481$	14.5667	−	12.2229i	0.664185	−	0.557317i
$482$	−2.18092	−	3.77747i	−0.0993383	−	0.172059i
$483$	−2.43969	+	4.22567i	−0.111010	+	0.192275i
$484$	0.307934	+	1.74638i	0.0139970	+	0.0793808i
$485$	1.09492	+	6.20961i	0.0497179	+	0.281964i
$486$	−0.500000	+	0.866025i	−0.0226805	+	0.0392837i
$487$	4.13769	+	7.16669i	0.187497	+	0.324754i	0.944415	−	0.328756i	$-0.106629\pi$
$487$	4.13769	+	7.16669i	0.187497	+	0.324754i	−0.756918	+	0.653509i	$0.773296\pi$
$488$	−11.4645	+	9.61986i	−0.518974	+	0.435471i
$489$	−2.56031	+	0.931876i	−0.115781	+	0.0421409i
$490$	6.17752	+	2.24843i	0.279072	+	0.101574i
$491$	−10.6252	−	8.91560i	−0.479509	−	0.402355i	0.370740	−	0.928737i	$-0.379104\pi$
$491$	−10.6252	−	8.91560i	−0.479509	−	0.402355i	−0.850249	+	0.526381i	$0.823549\pi$
$492$	−0.319078	+	1.80958i	−0.0143851	+	0.0815822i
$493$	−37.9786			−1.71047
$494$	13.6459	+	5.90885i	0.613958	+	0.265852i
$495$	−3.57398			−0.160638
$496$	0.631759	−	3.58288i	0.0283668	−	0.160876i
$497$	−5.19846	−	4.36203i	−0.233183	−	0.195664i
$498$	−5.25877	−	1.91404i	−0.235651	−	0.0857700i
$499$	40.6651	−	14.8009i	1.82042	−	0.662578i	0.825208	−	0.564829i	$-0.191058\pi$
$499$	40.6651	−	14.8009i	1.82042	−	0.662578i	0.995211	−	0.0977499i	$-0.0311645\pi$
$500$	−0.766044	+	0.642788i	−0.0342585	+	0.0287463i
$501$	3.59492	+	6.22659i	0.160609	+	0.278183i
$502$	9.71095	−	16.8199i	0.433421	−	0.750707i
$503$	−1.62717	−	9.22816i	−0.0725521	−	0.411463i	−0.999355	−	0.0359149i	$-0.988565\pi$
$503$	−1.62717	−	9.22816i	−0.0725521	−	0.411463i	0.926803	−	0.375548i	$-0.122546\pi$
$504$	−0.113341	−	0.642788i	−0.00504860	−	0.0286320i
$505$	−8.06805	+	13.9743i	−0.359023	+	0.621847i
$506$	−13.3589	−	23.1383i	−0.593876	−	1.02862i
$507$	1.04323	−	0.875377i	0.0463316	−	0.0388768i
$508$	5.97178	−	2.17355i	0.264955	−	0.0964357i
$509$	3.68004	+	1.33943i	0.163115	+	0.0593690i	0.422287	−	0.906462i	$-0.361227\pi$
$509$	3.68004	+	1.33943i	0.163115	+	0.0593690i	−0.259172	+	0.965831i	$0.583450\pi$
$510$	−3.23783	−	2.71686i	−0.143373	−	0.120305i
$511$	−1.41235	+	8.00984i	−0.0624788	+	0.354335i
$512$	−1.00000			−0.0441942
$513$	−0.500000	−	4.33013i	−0.0220755	−	0.191180i
$514$	−4.40373			−0.194240
$515$	0.114685	−	0.650411i	0.00505362	−	0.0286605i
$516$	3.53596	+	2.96702i	0.155662	+	0.130616i
$517$	−38.5403	−	14.0275i	−1.69500	−	0.616930i
$518$	3.41875	−	1.24432i	0.150211	−	0.0546724i
$519$	−18.1309	+	15.2136i	−0.795857	+	0.667804i
$520$	−1.70574	−	2.95442i	−0.0748015	−	0.129560i
$521$	−6.76352	+	11.7148i	−0.296315	+	0.513233i	−0.975290	−	0.220929i	$-0.929091\pi$
$521$	−6.76352	+	11.7148i	−0.296315	+	0.513233i	0.678975	+	0.734162i	$0.262425\pi$
$522$	1.56031	+	8.84894i	0.0682928	+	0.387308i
$523$	4.57414	+	25.9412i	0.200013	+	1.13433i	0.905096	+	0.425207i	$0.139799\pi$
$523$	4.57414	+	25.9412i	0.200013	+	1.13433i	−0.705083	+	0.709125i	$0.749090\pi$
$524$	0.588526	−	1.01936i	0.0257099	−	0.0445308i
$525$	0.326352	+	0.565258i	0.0142432	+	0.0246699i
$526$	−7.80793	+	6.55163i	−0.340442	+	0.285665i
$527$	−14.4500	+	5.25936i	−0.629450	+	0.229101i
$528$	3.35844	+	1.22237i	0.146157	+	0.0531969i
$529$	25.1917	+	21.1383i	1.09529	+	0.919057i
$530$	−2.12701	+	12.0629i	−0.0923915	+	0.523978i
$531$	−12.0273			−0.521942
$532$	2.06670	+	1.95529i	0.0896030	+	0.0847725i
$533$	6.26857			0.271522
$534$	−1.64543	+	9.33170i	−0.0712047	+	0.403822i
$535$	−4.16637	−	3.49600i	−0.180128	−	0.151145i
$536$	−1.38666	−	0.504703i	−0.0598946	−	0.0217998i
$537$	6.61081	−	2.40614i	0.285278	−	0.103833i
$538$	7.23577	−	6.07153i	0.311956	−	0.261762i
$539$	11.7476	+	20.3475i	0.506006	+	0.876428i
$540$	−0.500000	+	0.866025i	−0.0215166	+	0.0372678i
$541$	3.83022	+	21.7223i	0.164674	+	0.933913i	0.949400	+	0.314070i	$0.101693\pi$
$541$	3.83022	+	21.7223i	0.164674	+	0.933913i	−0.784726	+	0.619843i	$0.787196\pi$
$542$	−3.51202	−	19.9177i	−0.150854	−	0.855537i
$543$	2.86824	−	4.96794i	0.123088	−	0.213195i
$544$	2.11334	+	3.66041i	0.0906087	+	0.156939i
$545$	13.4572	−	11.2920i	0.576445	−	0.483694i
$546$	−2.09240	+	0.761570i	−0.0895463	+	0.0325922i
$547$	−19.7995	−	7.20642i	−0.846565	−	0.308124i	−0.117926	−	0.993022i	$-0.537624\pi$
$547$	−19.7995	−	7.20642i	−0.846565	−	0.308124i	−0.728639	+	0.684898i	$0.759847\pi$
$548$	6.72668	+	5.64436i	0.287350	+	0.241115i
$549$	2.59879	−	14.7385i	0.110914	−	0.629023i
$550$	−3.57398			−0.152395
$551$	−28.4513	−	26.9175i	−1.21207	−	1.14672i
$552$	−7.47565			−0.318185
$553$	−0.834397	+	4.73210i	−0.0354822	+	0.201229i
$554$	−7.01501	−	5.88630i	−0.298039	−	0.250085i
$555$	−5.23783	−	1.90641i	−0.222333	−	0.0809227i
$556$	11.2169	−	4.08261i	0.475702	−	0.173141i
$557$	−5.00568	+	4.20027i	−0.212098	+	0.177971i	−0.742647	−	0.669683i	$-0.766430\pi$
$557$	−5.00568	+	4.20027i	−0.212098	+	0.177971i	0.530550	+	0.847654i	$0.321986\pi$
$558$	1.81908	+	3.15074i	0.0770077	+	0.133381i
$559$	7.87346	−	13.6372i	0.333012	−	0.576793i
$560$	−0.113341	−	0.642788i	−0.00478952	−	0.0271627i
$561$	−2.62314	−	14.8766i	−0.110749	−	0.628089i
$562$	−13.1113	+	22.7094i	−0.553066	+	0.957938i
$563$	−1.27110	−	2.20160i	−0.0535703	−	0.0927866i	0.837997	−	0.545675i	$-0.183727\pi$
$563$	−1.27110	−	2.20160i	−0.0535703	−	0.0927866i	−0.891567	+	0.452889i	$0.850393\pi$
$564$	−8.79086	+	7.37641i	−0.370162	+	0.310603i
$565$	2.07873	−	0.756594i	0.0874526	−	0.0318302i
$566$	8.75150	+	3.18528i	0.367853	+	0.133887i
$567$	0.500000	+	0.419550i	0.0209980	+	0.0176194i
$568$	1.80541	−	10.2390i	0.0757532	−	0.429618i
$569$	−34.1138			−1.43013			−0.715063	−	0.699060i	$-0.753602\pi$
$569$	−34.1138			−1.43013			−0.715063	+	0.699060i	$0.753602\pi$
$570$	−0.500000	−	4.33013i	−0.0209427	−	0.181369i
$571$	9.56448			0.400261			0.200131	−	0.979769i	$-0.435863\pi$
$571$	9.56448			0.400261			0.200131	+	0.979769i	$0.435863\pi$
$572$	2.11721	−	12.0073i	0.0885250	−	0.502050i
$573$	15.5667	+	13.0620i	0.650308	+	0.545674i
$574$	1.12701	+	0.410199i	0.0470405	+	0.0171214i
$575$	7.02481	−	2.55682i	0.292955	−	0.106627i
$576$	0.766044	−	0.642788i	0.0319185	−	0.0267828i
$577$	10.6887	+	18.5133i	0.444975	+	0.770719i	0.998050	−	0.0624120i	$-0.0198793\pi$
$577$	10.6887	+	18.5133i	0.444975	+	0.770719i	−0.553076	+	0.833131i	$0.686546\pi$
$578$	0.432419	−	0.748971i	0.0179862	−	0.0311531i
$579$	−0.762641	−	4.32515i	−0.0316943	−	0.179747i
$580$	1.56031	+	8.84894i	0.0647882	+	0.367432i
$581$	−1.82635	+	3.16333i	−0.0757698	+	0.131237i
$582$	3.15270	+	5.46064i	0.130684	+	0.226351i
$583$	−33.5355	+	28.1397i	−1.38890	+	1.16543i
$584$	−11.7096	+	4.26195i	−0.484547	+	0.176361i
$585$	3.20574	+	1.16679i	0.132541	+	0.0482409i
$586$	12.2626	+	10.2896i	0.506565	+	0.425059i
$587$	−1.59745	+	9.05958i	−0.0659338	+	0.373929i	0.933931	+	0.357455i	$0.116355\pi$
$587$	−1.59745	+	9.05958i	−0.0659338	+	0.373929i	−0.999864	+	0.0164744i	$0.994756\pi$
$588$	6.57398			0.271106
$589$	−14.5526	−	6.30147i	−0.599630	−	0.259648i
$590$	−12.0273			−0.495158
$591$	3.98798	−	22.6169i	0.164044	−	0.930337i
$592$	4.26991	+	3.58288i	0.175492	+	0.147256i
$593$	−11.2096	−	4.07996i	−0.460323	−	0.167544i	0.101441	−	0.994842i	$-0.467655\pi$
$593$	−11.2096	−	4.07996i	−0.460323	−	0.167544i	−0.561764	+	0.827298i	$0.689877\pi$
$594$	−3.35844	+	1.22237i	−0.137798	+	0.0501545i
$595$	−2.11334	+	1.77330i	−0.0866385	+	0.0726984i
$596$	−0.777189	−	1.34613i	−0.0318349	−	0.0551397i
$597$	10.4081	−	18.0273i	0.425974	−	0.737809i
$598$	4.42855	+	25.1155i	0.181097	+	1.02705i
$599$	3.73426	+	21.1780i	0.152578	+	0.865311i	0.960967	+	0.276663i	$0.0892286\pi$
$599$	3.73426	+	21.1780i	0.152578	+	0.865311i	−0.808389	+	0.588648i	$0.799660\pi$
$600$	−0.500000	+	0.866025i	−0.0204124	+	0.0353553i
$601$	7.33615	+	12.7066i	0.299248	+	0.518313i	0.975964	−	0.217931i	$-0.0699309\pi$
$601$	7.33615	+	12.7066i	0.299248	+	0.518313i	−0.676716	+	0.736244i	$0.736598\pi$
$602$	2.30793	−	1.93659i	0.0940643	−	0.0789294i
$603$	1.38666	−	0.504703i	0.0564691	−	0.0205531i
$604$	1.43717	+	0.523086i	0.0584775	+	0.0212841i
$605$	−1.35844	−	1.13987i	−0.0552285	−	0.0463422i
$606$	−2.80200	+	15.8910i	−0.113824	+	0.645526i
$607$	21.5449			0.874480			0.437240	−	0.899345i	$-0.355956\pi$
$607$	21.5449			0.874480			0.437240	+	0.899345i	$0.355956\pi$
$608$	−1.01114	+	4.24000i	−0.0410073	+	0.171955i
$609$	5.86484			0.237655
$610$	2.59879	−	14.7385i	0.105222	−	0.596744i
$611$	29.9898	+	25.1644i	1.21326	+	1.01804i
$612$	−3.97178	−	1.44561i	−0.160550	−	0.0584353i
$613$	−34.8225	+	12.6744i	−1.40647	+	0.511913i	−0.930091	−	0.367328i	$-0.880273\pi$
$613$	−34.8225	+	12.6744i	−1.40647	+	0.511913i	−0.476378	+	0.879241i	$0.658050\pi$
$614$	−13.5890	+	11.4025i	−0.548407	+	0.460168i
$615$	−0.918748	−	1.59132i	−0.0370475	−	0.0641681i
$616$	1.16637	−	2.02022i	0.0469946	−	0.0813970i
$617$	2.20280	+	12.4927i	0.0886814	+	0.502937i	0.996501	+	0.0835770i	$0.0266345\pi$
$617$	2.20280	+	12.4927i	0.0886814	+	0.502937i	−0.907820	+	0.419360i	$0.862254\pi$
$618$	−0.114685	−	0.650411i	−0.00461331	−	0.0261634i
$619$	−5.62061	+	9.73519i	−0.225912	+	0.391290i	−0.956593	−	0.291429i	$-0.905869\pi$
$619$	−5.62061	+	9.73519i	−0.225912	+	0.391290i	0.730681	+	0.682719i	$0.239203\pi$
$620$	1.81908	+	3.15074i	0.0730559	+	0.126537i
$621$	5.72668	−	4.80526i	0.229804	−	0.192828i
$622$	−15.0398	+	5.47405i	−0.603042	+	0.219489i
$623$	5.81180	+	2.11532i	0.232845	+	0.0847487i
$624$	−2.61334	−	2.19285i	−0.104617	−	0.0877844i
$625$	0.173648	−	0.984808i	0.00694593	−	0.0393923i
$626$	−14.9017			−0.595591
$627$	8.57873	−	13.0038i	0.342601	−	0.519321i
$628$	6.36184			0.253865
$629$	4.09105	−	23.2015i	0.163121	−	0.925105i
$630$	0.500000	+	0.419550i	0.0199205	+	0.0167153i
$631$	12.0474	+	4.38490i	0.479600	+	0.174560i	0.570496	−	0.821300i	$-0.306751\pi$
$631$	12.0474	+	4.38490i	0.479600	+	0.174560i	−0.0908963	+	0.995860i	$0.528973\pi$
$632$	−6.91787	+	2.51790i	−0.275178	+	0.100157i
$633$	−10.4855	+	8.79834i	−0.416759	+	0.349703i
$634$	−5.07738	−	8.79428i	−0.201649	−	0.349266i
$635$	−3.17752	+	5.50362i	−0.126096	+	0.218405i
$636$	2.12701	+	12.0629i	0.0843415	+	0.478324i
$637$	−3.89440	−	22.0862i	−0.154302	−	0.875089i
$638$	−16.0569	+	27.8114i	−0.635699	+	1.10106i
$639$	5.19846	+	9.00400i	0.205648	+	0.356193i
$640$	0.766044	−	0.642788i	0.0302806	−	0.0254084i
$641$	34.8505	−	12.6845i	1.37651	−	0.501009i	0.455392	−	0.890291i	$-0.349499\pi$
$641$	34.8505	−	12.6845i	1.37651	−	0.501009i	0.921118	+	0.389283i	$0.127277\pi$
$642$	−5.11081	−	1.86018i	−0.201708	−	0.0734156i
$643$	−8.39827	−	7.04699i	−0.331195	−	0.277906i	0.461991	−	0.886884i	$-0.347135\pi$
$643$	−8.39827	−	7.04699i	−0.331195	−	0.277906i	−0.793187	+	0.608978i	$0.791580\pi$
$644$	−0.847296	+	4.80526i	−0.0333882	+	0.189354i
$645$	−4.61587			−0.181750
$646$	17.6570	−	5.25936i	0.694707	−	0.206927i
$647$	−18.6260			−0.732263			−0.366131	−	0.930563i	$-0.619318\pi$
$647$	−18.6260			−0.732263			−0.366131	+	0.930563i	$0.619318\pi$
$648$	−0.173648	+	0.984808i	−0.00682154	+	0.0386869i
$649$	−32.9288	−	27.6305i	−1.29257	−	1.08459i
$650$	3.20574	+	1.16679i	0.125739	+	0.0457654i
$651$	2.23143	−	0.812174i	0.0874566	−	0.0318316i
$652$	−2.08718	+	1.75135i	−0.0817403	+	0.0685883i
$653$	5.74422	+	9.94929i	0.224789	+	0.389346i	0.956256	−	0.292531i	$-0.0944974\pi$
$653$	5.74422	+	9.94929i	0.224789	+	0.389346i	−0.731467	+	0.681877i	$0.761164\pi$
$654$	8.78359	−	15.2136i	0.343465	−	0.594899i
$655$	0.204393	+	1.15917i	0.00798629	+	0.0452925i
$656$	0.319078	+	1.80958i	0.0124579	+	0.0706522i
$657$	6.23055	−	10.7916i	0.243077	−	0.421022i
$658$	3.74510	+	6.48670i	0.145999	+	0.252878i
$659$	−9.31521	+	7.81639i	−0.362869	+	0.304483i	−0.805933	−	0.592007i	$-0.798336\pi$
$659$	−9.31521	+	7.81639i	−0.362869	+	0.304483i	0.443064	+	0.896490i	$0.353891\pi$
$660$	−3.35844	+	1.22237i	−0.130727	+	0.0475808i
$661$	−7.76352	−	2.82569i	−0.301966	−	0.109907i	0.186594	−	0.982437i	$-0.440255\pi$
$661$	−7.76352	−	2.82569i	−0.301966	−	0.109907i	−0.488559	+	0.872531i	$0.662477\pi$
$662$	16.1368	+	13.5404i	0.627175	+	0.526262i
$663$	−2.50387	+	14.2002i	−0.0972423	+	0.551488i
$664$	−5.59627			−0.217177
$665$	−2.84002	−	0.169386i	−0.110131	−	0.00656852i
$666$	−5.57398			−0.215987
$667$	11.6643	−	66.1516i	0.451644	−	2.56140i
$668$	5.50774	+	4.62154i	0.213101	+	0.178813i
$669$	−12.5680	−	4.57440i	−0.485909	−	0.176856i
$670$	1.38666	−	0.504703i	0.0535713	−	0.0194984i
$671$	40.9739	−	34.3812i	1.58178	−	1.32727i
$672$	−0.326352	−	0.565258i	−0.0125893	−	0.0218053i
$673$	−15.7886	+	27.3467i	−0.608607	+	1.05414i	0.382863	+	0.923805i	$0.374938\pi$
$673$	−15.7886	+	27.3467i	−0.608607	+	1.05414i	−0.991470	+	0.130334i	$0.958395\pi$
$674$	−0.950370	−	5.38982i	−0.0366069	−	0.207608i
$675$	−0.173648	−	0.984808i	−0.00668372	−	0.0379053i
$676$	0.680922	−	1.17939i	0.0261893	−	0.0453612i
$677$	16.2486	+	28.1433i	0.624483	+	1.08164i	0.988641	+	0.150299i	$0.0480236\pi$
$677$	16.2486	+	28.1433i	0.624483	+	1.08164i	−0.364158	+	0.931337i	$0.618643\pi$
$678$	1.69459	−	1.42193i	0.0650804	−	0.0546090i
$679$	3.86736	−	1.40761i	0.148416	−	0.0540189i
$680$	−3.97178	−	1.44561i	−0.152311	−	0.0554366i
$681$	2.78699	+	2.33856i	0.106798	+	0.0896139i
$682$	−2.25789	+	12.8051i	−0.0864592	+	0.490334i
$683$	27.1257			1.03793			0.518967	−	0.854794i	$-0.326317\pi$
$683$	27.1257			1.03793			0.518967	+	0.854794i	$0.326317\pi$
$684$	−1.95084	−	3.89798i	−0.0745921	−	0.149043i
$685$	−8.78106			−0.335507
$686$	1.53849	−	8.72518i	0.0587396	−	0.333129i
$687$	−18.2854	−	15.3433i	−0.697631	−	0.585382i
$688$	4.33750	+	1.57872i	0.165365	+	0.0601881i
$689$	39.2670	−	14.2920i	1.49595	−	0.544482i
$690$	5.72668	−	4.80526i	0.218011	−	0.182933i
$691$	5.26945	+	9.12695i	0.200459	+	0.347206i	0.948676	−	0.316248i	$-0.102423\pi$
$691$	5.26945	+	9.12695i	0.200459	+	0.347206i	−0.748217	+	0.663454i	$0.769090\pi$
$692$	−11.8341	+	20.4972i	−0.449865	+	0.779189i
$693$	0.405078	+	2.29731i	0.0153876	+	0.0872675i
$694$	2.70203	+	15.3240i	0.102568	+	0.581690i
$695$	−5.96838	+	10.3375i	−0.226393	+	0.392125i
$696$	4.49273	+	7.78163i	0.170296	+	0.294962i
$697$	5.94949	−	4.99222i	0.225353	−	0.189094i
$698$	−13.5706	+	4.93929i	−0.513654	+	0.186955i
$699$	−18.5030	−	6.73454i	−0.699847	−	0.254724i
$700$	0.500000	+	0.419550i	0.0188982	+	0.0158575i
$701$	−3.47549	+	19.7105i	−0.131267	+	0.744455i	0.846119	+	0.532994i	$0.178933\pi$
$701$	−3.47549	+	19.7105i	−0.131267	+	0.744455i	−0.977387	+	0.211461i	$0.932178\pi$
$702$	3.41147			0.128758
$703$	19.5089	−	14.4816i	0.735793	−	0.546185i
$704$	3.57398			0.134699
$705$	1.99273	−	11.3013i	0.0750504	−	0.425632i
$706$	−22.8844	−	19.2023i	−0.861267	−	0.722689i
$707$	9.89693	+	3.60219i	0.372212	+	0.135474i
$708$	−11.3020	+	4.11359i	−0.424755	+	0.154598i
$709$	−36.5547	+	30.6730i	−1.37284	+	1.15195i	−0.401062	+	0.916051i	$0.631359\pi$
$709$	−36.5547	+	30.6730i	−1.37284	+	1.15195i	−0.971778	+	0.235899i	$0.924197\pi$
$710$	5.19846	+	9.00400i	0.195095	+	0.337914i
$711$	3.68092	−	6.37554i	0.138045	−	0.239102i
$712$	1.64543	+	9.33170i	0.0616651	+	0.349720i
$713$	−4.72281	−	26.7844i	−0.176871	−	1.00308i
$714$	−1.37939	+	2.38917i	−0.0516222	+	0.0894123i
$715$	6.09627	+	10.5590i	0.227987	+	0.394886i
$716$	5.38919	−	4.52206i	0.201403	−	0.168997i
$717$	23.3380	−	8.49432i	0.871572	−	0.317226i
$718$	−11.1236	−	4.04866i	−0.415129	−	0.151095i
$719$	−35.1234	−	29.4720i	−1.30988	−	1.09912i	−0.988346	−	0.152222i	$-0.951357\pi$
$719$	−35.1234	−	29.4720i	−1.30988	−	1.09912i	−0.321534	−	0.946898i	$-0.604198\pi$
$720$	−0.173648	+	0.984808i	−0.00647149	+	0.0367016i
$721$	−0.431074			−0.0160541
$722$	16.9552	+	8.57450i	0.631006	+	0.319110i
$723$	4.36184			0.162219
$724$	0.996130	−	5.64933i	0.0370209	−	0.209956i
$725$	−6.88326	−	5.77574i	−0.255638	−	0.214505i
$726$	−1.66637	−	0.606511i	−0.0618449	−	0.0225097i
$727$	−21.7464	+	7.91506i	−0.806531	+	0.293553i	−0.712190	−	0.701987i	$-0.752297\pi$
$727$	−21.7464	+	7.91506i	−0.806531	+	0.293553i	−0.0943409	+	0.995540i	$0.530074\pi$
$728$	−1.70574	+	1.43128i	−0.0632188	+	0.0530469i
$729$	−0.500000	−	0.866025i	−0.0185185	−	0.0320750i
$730$	6.23055	−	10.7916i	0.230603	−	0.399416i
$731$	−3.38784	−	19.2134i	−0.125304	−	0.710633i
$732$	−2.59879	−	14.7385i	−0.0960541	−	0.544750i
$733$	13.4718	−	23.3338i	0.497592	−	0.861854i	−0.502405	−	0.864633i	$-0.667551\pi$
$733$	13.4718	−	23.3338i	0.497592	−	0.861854i	0.999996	+	0.00277875i	$0.000884504\pi$
$734$	−7.77244	−	13.4623i	−0.286886	−	0.496901i
$735$	−5.03596	+	4.22567i	−0.185754	+	0.155866i
$736$	−7.02481	+	2.55682i	−0.258938	+	0.0942458i
$737$	4.95589	+	1.80380i	0.182553	+	0.0664437i
$738$	−1.40760	−	1.18112i	−0.0518146	−	0.0434776i
$739$	−0.242107	+	1.37306i	−0.00890604	+	0.0505087i	−0.988937	−	0.148337i	$-0.952608\pi$
$739$	−0.242107	+	1.37306i	−0.00890604	+	0.0505087i	0.980031	+	0.198845i	$0.0637192\pi$
$740$	−5.57398			−0.204904
$741$	−11.9402	+	8.86327i	−0.438633	+	0.325600i
$742$	7.99495			0.293504
$743$	1.34864	−	7.64852i	0.0494768	−	0.280597i	−0.950024	−	0.312175i	$-0.898942\pi$
$743$	1.34864	−	7.64852i	0.0494768	−	0.280597i	0.999501	+	0.0315785i	$0.0100534\pi$
$744$	2.78699	+	2.33856i	0.102176	+	0.0857358i
$745$	1.46064	+	0.531628i	0.0535136	+	0.0194774i
$746$	18.5488	−	6.75119i	0.679118	−	0.247179i
$747$	4.28699	−	3.59721i	0.156853	−	0.131615i
$748$	−7.55303	−	13.0822i	−0.276166	−	0.478334i
$749$	−1.77497	+	3.07433i	−0.0648559	+	0.112334i
$750$	−0.173648	−	0.984808i	−0.00634073	−	0.0359601i
$751$	3.96657	+	22.4955i	0.144742	+	0.820873i	0.967574	+	0.252588i	$0.0812818\pi$
$751$	3.96657	+	22.4955i	0.144742	+	0.820873i	−0.822832	+	0.568285i	$0.807607\pi$
$752$	−5.73783	+	9.93821i	−0.209237	+	0.362409i
$753$	9.71095	+	16.8199i	0.353887	+	0.612950i
$754$	23.4820	−	19.7038i	0.855166	−	0.717569i
$755$	−1.43717	+	0.523086i	−0.0523038	+	0.0190370i
$756$	0.613341	+	0.223238i	0.0223070	+	0.00811908i
$757$	40.1259	+	33.6696i	1.45840	+	1.22374i	0.926150	+	0.377156i	$0.123098\pi$
$757$	40.1259	+	33.6696i	1.45840	+	1.22374i	0.532250	+	0.846587i	$0.321346\pi$
$758$	−1.69759	+	9.62749i	−0.0616591	+	0.349686i
$759$	26.7178			0.969795
$760$	−1.95084	−	3.89798i	−0.0707643	−	0.141395i
$761$	−31.8452			−1.15439			−0.577194	−	0.816607i	$-0.695853\pi$
$761$	−31.8452			−1.15439			−0.577194	+	0.816607i	$0.695853\pi$
$762$	−1.10354	+	6.25849i	−0.0399771	+	0.226721i
$763$	−8.78359	−	7.37030i	−0.317987	−	0.266823i
$764$	19.0954	+	6.95015i	0.690847	+	0.251448i
$765$	3.97178	−	1.44561i	0.143600	−	0.0522661i
$766$	14.8739	−	12.4807i	0.537417	−	0.450946i
$767$	20.5155	+	35.5339i	0.740771	+	1.28305i
$768$	0.500000	−	0.866025i	0.0180422	−	0.0312500i
$769$	−2.25015	−	12.7612i	−0.0811426	−	0.460182i	−0.998123	−	0.0612491i	$-0.980492\pi$
$769$	−2.25015	−	12.7612i	−0.0811426	−	0.460182i	0.916980	−	0.398933i	$-0.130620\pi$
$770$	0.405078	+	2.29731i	0.0145980	+	0.0827893i
$771$	2.20187	−	3.81374i	0.0792983	−	0.137349i
$772$	−2.19594	−	3.80347i	−0.0790335	−	0.136890i
$773$	−24.0416	+	20.1733i	−0.864718	+	0.725584i	−0.962979	−	0.269576i	$-0.913116\pi$
$773$	−24.0416	+	20.1733i	−0.864718	+	0.725584i	0.0982613	+	0.995161i	$0.468672\pi$
$774$	−4.33750	+	1.57872i	−0.155908	+	0.0567459i
$775$	−3.41875	−	1.24432i	−0.122805	−	0.0446974i
$776$	4.83022	+	4.05304i	0.173395	+	0.145496i
$777$	−0.631759	+	3.58288i	−0.0226642	+	0.128535i
$778$	30.0692			1.07803
$779$	7.99525	+	0.476857i	0.286460	+	0.0170852i
$780$	3.41147			0.122150
$781$	−6.45249	+	36.5939i	−0.230888	+	1.30943i
$782$	24.2049	+	20.3103i	0.865564	+	0.726294i
$783$	−8.44356	−	3.07321i	−0.301748	−	0.109827i
$784$	6.17752	−	2.24843i	0.220626	−	0.0803012i
$785$	−4.87346	+	4.08931i	−0.173941	+	0.145954i
$786$	0.588526	+	1.01936i	0.0209920	+	0.0363592i
$787$	11.1609	−	19.3313i	0.397844	−	0.689085i	−0.595616	−	0.803269i	$-0.703092\pi$
$787$	11.1609	−	19.3313i	0.397844	−	0.689085i	0.993460	+	0.114184i	$0.0364254\pi$
$788$	−3.98798	−	22.6169i	−0.142066	−	0.805695i
$789$	−1.76991	−	10.0377i	−0.0630106	−	0.357351i
$790$	3.68092	−	6.37554i	0.130961	−	0.226832i
$791$	−0.721934	−	1.25043i	−0.0256690	−	0.0444600i
$792$	−2.73783	+	2.29731i	−0.0972844	+	0.0816313i
$793$	−47.9766	+	17.4620i	−1.70370	+	0.620096i
$794$	16.5655	+	6.02936i	0.587888	+	0.213974i
$795$	−9.38326	−	7.87349i	−0.332790	−	0.279244i
$796$	3.61468	−	20.4999i	0.128119	−	0.726600i
$797$	31.7847			1.12587			0.562936	−	0.826501i	$-0.309672\pi$
$797$	31.7847			1.12587			0.562936	+	0.826501i	$0.309672\pi$
$798$	−2.72668	+	0.812174i	−0.0965235	+	0.0287506i
$799$	48.5039			1.71595
$800$	−0.173648	+	0.984808i	−0.00613939	+	0.0348182i
$801$	−7.25877	−	6.09083i	−0.256476	−	0.215209i
$802$	−5.80928	−	2.11440i	−0.205133	−	0.0746622i
$803$	41.8499	−	15.2321i	1.47685	−	0.537529i
$804$	1.13041	−	0.948531i	0.0398667	−	0.0334521i
$805$	−2.43969	−	4.22567i	−0.0859879	−	0.148935i
$806$	6.20574	−	10.7487i	0.218588	−	0.378605i
$807$	1.64022	+	9.30212i	0.0577383	+	0.327450i
$808$	2.80200	+	15.8910i	0.0985741	+	0.559042i
$809$	26.8619	−	46.5262i	0.944414	−	1.63577i	0.187494	−	0.982266i	$-0.439963\pi$
$809$	26.8619	−	46.5262i	0.944414	−	1.63577i	0.756920	−	0.653508i	$-0.226703\pi$
$810$	−0.500000	−	0.866025i	−0.0175682	−	0.0304290i
$811$	40.6740	−	34.1295i	1.42826	−	1.19845i	0.481521	−	0.876435i	$-0.340085\pi$
$811$	40.6740	−	34.1295i	1.42826	−	1.19845i	0.946735	−	0.322014i	$-0.104360\pi$
$812$	5.51114	−	2.00589i	0.193403	−	0.0703930i
$813$	19.0052	+	6.91733i	0.666542	+	0.242601i
$814$	−15.2606	−	12.8051i	−0.534883	−	0.448820i
$815$	0.473126	−	2.68323i	0.0165729	−	0.0939894i
$816$	−4.22668			−0.147963
$817$	11.0796	−	16.7947i	0.387626	−	0.587571i
$818$	3.97359			0.138933
$819$	0.386659	−	2.19285i	0.0135110	−	0.0766245i
$820$	−1.40760	−	1.18112i	−0.0491557	−	0.0412465i
$821$	20.9393	+	7.62128i	0.730786	+	0.265984i	0.680498	−	0.732750i	$-0.261764\pi$
$821$	20.9393	+	7.62128i	0.730786	+	0.265984i	0.0502885	+	0.998735i	$0.483986\pi$
$822$	−8.25150	+	3.00330i	−0.287804	+	0.104752i
$823$	−17.4754	+	14.6636i	−0.609154	+	0.511141i	−0.894373	−	0.447321i	$-0.852378\pi$
$823$	−17.4754	+	14.6636i	−0.609154	+	0.511141i	0.285219	+	0.958462i	$0.407934\pi$
$824$	−0.330222	−	0.571962i	−0.0115038	−	0.0199252i
$825$	1.78699	−	3.09516i	0.0622150	−	0.107759i
$826$	1.36319	+	7.73103i	0.0474314	+	0.268997i
$827$	−8.29813	−	47.0611i	−0.288554	−	1.63647i	−0.692306	−	0.721604i	$-0.743405\pi$
$827$	−8.29813	−	47.0611i	−0.288554	−	1.63647i	0.403751	−	0.914869i	$-0.367706\pi$
$828$	3.73783	−	6.47410i	0.129898	−	0.224991i
$829$	−4.37733	−	7.58175i	−0.152031	−	0.263325i	0.779943	−	0.625850i	$-0.215248\pi$
$829$	−4.37733	−	7.58175i	−0.152031	−	0.263325i	−0.931974	+	0.362525i	$0.881915\pi$
$830$	4.28699	−	3.59721i	0.148804	−	0.124861i
$831$	8.60519	−	3.13203i	0.298511	−	0.108649i
$832$	−3.20574	−	1.16679i	−0.111139	−	0.0404513i
$833$	−21.2854	−	17.8606i	−0.737495	−	0.618832i
$834$	−2.07280	+	11.7554i	−0.0717751	+	0.407057i
$835$	−7.18984			−0.248815
$836$	3.61381	−	15.1537i	0.124986	−	0.524100i
$837$	−3.63816			−0.125753
$838$	1.17483	−	6.66279i	0.0405838	−	0.230162i
$839$	33.2335	+	27.8863i	1.14735	+	0.962740i	0.999654	−	0.0262925i	$-0.00837012\pi$
$839$	33.2335	+	27.8863i	1.14735	+	0.962740i	0.147695	+	0.989033i	$0.452815\pi$
$840$	0.613341	+	0.223238i	0.0211623	+	0.00770244i
$841$	−48.6181	+	17.6956i	−1.67649	+	0.610192i
$842$	16.0123	−	13.4359i	0.551821	−	0.463033i
$843$	−13.1113	−	22.7094i	−0.451577	−	0.782153i
$844$	−6.84389	+	11.8540i	−0.235577	+	0.408030i
$845$	0.236482	+	1.34115i	0.00813522	+	0.0461371i
$846$	−1.99273	−	11.3013i	−0.0685113	−	0.388547i
$847$	−0.578726	+	1.00238i	−0.0198853	+	0.0344423i
$848$	6.12449	+	10.6079i	0.210316	+	0.364277i
$849$	−7.13429	+	5.98638i	−0.244848	+	0.205452i
$850$	3.97178	−	1.44561i	0.136231	−	0.0495840i
$851$	39.1562	+	14.2517i	1.34226	+	0.488541i
$852$	7.96451	+	6.68302i	0.272860	+	0.228956i
$853$	−7.53074	+	42.7090i	−0.257848	+	1.46233i	0.530808	+	0.847492i	$0.321889\pi$
$853$	−7.53074	+	42.7090i	−0.257848	+	1.46233i	−0.788656	+	0.614835i	$0.789223\pi$
$854$	−9.76827			−0.334263
$855$	4.00000	+	1.73205i	0.136797	+	0.0592349i
$856$	−5.43882			−0.185895
$857$	1.75418	−	9.94848i	0.0599218	−	0.339833i	−0.940078	−	0.340961i	$-0.889248\pi$
$857$	1.75418	−	9.94848i	0.0599218	−	0.339833i	0.999999	+	0.00112721i	$0.000358801\pi$
$858$	9.34002	+	7.83721i	0.318863	+	0.267558i
$859$	−20.2506	−	7.37062i	−0.690942	−	0.251482i	−0.0274036	−	0.999624i	$-0.508724\pi$
$859$	−20.2506	−	7.37062i	−0.690942	−	0.251482i	−0.663539	+	0.748142i	$0.730946\pi$
$860$	−4.33750	+	1.57872i	−0.147907	+	0.0538339i
$861$	−0.918748	+	0.770921i	−0.0313109	+	0.0262729i
$862$	−13.5030	−	23.3879i	−0.459914	−	0.796594i
$863$	8.10101	−	14.0314i	0.275762	−	0.477633i	−0.694565	−	0.719430i	$-0.744403\pi$
$863$	8.10101	−	14.0314i	0.275762	−	0.477633i	0.970327	+	0.241796i	$0.0777366\pi$
$864$	0.173648	+	0.984808i	0.00590763	+	0.0335038i
$865$	−4.10994	−	23.3086i	−0.139742	−	0.792517i
$866$	−10.0039	+	17.3272i	−0.339945	+	0.588803i
$867$	0.432419	+	0.748971i	0.0146857	+	0.0254364i
$868$	1.81908	−	1.52639i	0.0617435	−	0.0518090i
$869$	24.7243	−	8.99892i	0.838715	−	0.305267i
$870$	−8.44356	−	3.07321i	−0.286264	−	0.104191i
$871$	−3.85638	−	3.23589i	−0.130668	−	0.109644i
$872$	3.05051	−	17.3003i	0.103303	−	0.585862i
$873$	−6.30541			−0.213406
$874$	3.73783	+	32.3705i	0.126434	+	1.09495i
$875$	−0.652704			−0.0220654
$876$	2.16385	−	12.2718i	0.0731096	−	0.414625i
$877$	−6.21941	−	5.21870i	−0.210014	−	0.176223i	0.531713	−	0.846925i	$-0.321549\pi$
$877$	−6.21941	−	5.21870i	−0.210014	−	0.176223i	−0.741727	+	0.670702i	$0.765993\pi$
$878$	−13.6766	−	4.97789i	−0.461564	−	0.167996i
$879$	−15.0424	+	5.47497i	−0.507366	+	0.184666i
$880$	−2.73783	+	2.29731i	−0.0922921	+	0.0774423i
$881$	8.79591	+	15.2350i	0.296342	+	0.513279i	0.975296	−	0.220901i	$-0.0708999\pi$
$881$	8.79591	+	15.2350i	0.296342	+	0.513279i	−0.678954	+	0.734181i	$0.737567\pi$
$882$	−3.28699	+	5.69323i	−0.110679	+	0.191701i
$883$	−0.868079	−	4.92312i	−0.0292132	−	0.165676i	0.966711	−	0.255871i	$-0.0823622\pi$
$883$	−0.868079	−	4.92312i	−0.0292132	−	0.165676i	−0.995924	+	0.0901947i	$0.971251\pi$
$884$	2.50387	+	14.2002i	0.0842143	+	0.477603i
$885$	6.01367	−	10.4160i	0.202147	−	0.350129i
$886$	−0.421274	−	0.729669i	−0.0141530	−	0.0245137i
$887$	−29.0162	+	24.3475i	−0.974269	+	0.817508i	−0.983215	−	0.182452i	$-0.941597\pi$
$887$	−29.0162	+	24.3475i	−0.974269	+	0.817508i	0.00894630	+	0.999960i	$0.497152\pi$
$888$	−5.23783	+	1.90641i	−0.175770	+	0.0639750i
$889$	3.89780	+	1.41868i	0.130728	+	0.0475812i
$890$	−7.25877	−	6.09083i	−0.243315	−	0.204165i
$891$	0.620615	−	3.51968i	0.0207914	−	0.117914i
$892$	−13.3746			−0.447816
$893$	36.3362	+	34.3773i	1.21594	+	1.15039i
$894$	1.55438			0.0519862
$895$	−1.22163	+	6.92820i	−0.0408346	+	0.231584i
$896$	−0.500000	−	0.419550i	−0.0167038	−	0.0140162i
$897$	−23.9650	−	8.72254i	−0.800167	−	0.291237i
$898$	12.4693	−	4.53844i	0.416104	−	0.151450i
$899$	−25.0424	+	21.0130i	−0.835209	+	0.700824i
$900$	−0.500000	−	0.866025i	−0.0166667	−	0.0288675i
$901$	25.8862	−	44.8363i	0.862396	−	1.49371i
$902$	−1.14038	−	6.46740i	−0.0379704	−	0.215341i
$903$	0.523166	+	2.96702i	0.0174099	+	0.0987363i
$904$	1.10607	−	1.91576i	0.0367872	−	0.0637174i
$905$	2.86824	+	4.96794i	0.0953436	+	0.165140i
$906$	−1.17159	+	0.983080i	−0.0389234	+	0.0326606i
$907$	27.8919	−	10.1518i	0.926134	−	0.337085i	0.165458	−	0.986217i	$-0.447090\pi$
$907$	27.8919	−	10.1518i	0.926134	−	0.337085i	0.760676	+	0.649131i	$0.224867\pi$
$908$	3.41875	+	1.24432i	0.113455	+	0.0412943i
$909$	−12.3610	−	10.3721i	−0.409987	−	0.344020i
$910$	0.386659	−	2.19285i	0.0128176	−	0.0726924i
$911$	14.9733			0.496087			0.248043	−	0.968749i	$-0.420212\pi$
$911$	14.9733			0.496087			0.248043	+	0.968749i	$0.420212\pi$
$912$	−3.16637	−	2.99568i	−0.104849	−	0.0991967i
$913$	20.0009			0.661934
$914$	0.267226	−	1.51552i	0.00883907	−	0.0501288i
$915$	11.4645	+	9.61986i	0.379005	+	0.318023i
$916$	−22.4304	−	8.16398i	−0.741120	−	0.269746i
$917$	0.721934	−	0.262762i	0.0238404	−	0.00867718i
$918$	3.23783	−	2.71686i	0.106864	−	0.0896697i
$919$	2.72328	+	4.71686i	0.0898327	+	0.155595i	0.907440	−	0.420181i	$-0.138033\pi$
$919$	2.72328	+	4.71686i	0.0898327	+	0.155595i	−0.817608	+	0.575776i	$0.804700\pi$
$920$	3.73783	−	6.47410i	0.123232	−	0.213445i
$921$	−3.08037	−	17.4697i	−0.101502	−	0.575645i
$922$	1.75490	+	9.95253i	0.0577946	+	0.327769i
$923$	17.7344	−	30.7169i	0.583736	−	1.01106i
$924$	1.16637	+	2.02022i	0.0383709	+	0.0664603i
$925$	4.26991	−	3.58288i	0.140394	−	0.117804i
$926$	32.3742	−	11.7833i	1.06388	−	0.387222i
$927$	0.620615	+	0.225885i	0.0203837	+	0.00741905i
$928$	6.88326	+	5.77574i	0.225954	+	0.189598i
$929$	3.74469	−	21.2372i	0.122859	−	0.696770i	−0.859697	−	0.510804i	$-0.829348\pi$
$929$	3.74469	−	21.2372i	0.122859	−	0.696770i	0.982556	−	0.185965i	$-0.0595412\pi$
$930$	−3.63816			−0.119300
$931$	−3.28699	−	28.4662i	−0.107727	−	0.932941i
$932$	−19.6905			−0.644983
$933$	2.77925	−	15.7619i	0.0909885	−	0.516021i
$934$	29.7499	+	24.9631i	0.973447	+	0.816819i
$935$	14.1951	+	5.16658i	0.464228	+	0.168965i
$936$	3.20574	−	1.16679i	0.104783	−	0.0381378i
$937$	−35.7872	+	30.0290i	−1.16912	+	0.981006i	−0.999989	−	0.00458843i	$-0.998539\pi$
$937$	−35.7872	+	30.0290i	−1.16912	+	0.981006i	−0.169128	+	0.985594i	$0.554095\pi$
$938$	−0.481582	−	0.834124i	−0.0157242	−	0.0272351i
$939$	7.45084	−	12.9052i	0.243149	−	0.421146i
$940$	−1.99273	−	11.3013i	−0.0649956	−	0.368608i
$941$	9.58007	+	54.3313i	0.312301	+	1.77115i	0.586969	+	0.809610i	$0.300321\pi$
$941$	9.58007	+	54.3313i	0.312301	+	1.77115i	−0.274667	+	0.961539i	$0.588568\pi$
$942$	−3.18092	+	5.50952i	−0.103640	+	0.179510i
$943$	6.86824	+	11.8961i	0.223661	+	0.387392i
$944$	−9.21348	+	7.73103i	−0.299873	+	0.251623i
$945$	−0.613341	+	0.223238i	−0.0199520	+	0.00726193i
$946$	−15.5021	−	5.64231i	−0.504017	−	0.183447i
$947$	13.4907	+	11.3200i	0.438388	+	0.367851i	0.835106	−	0.550090i	$-0.185406\pi$
$947$	13.4907	+	11.3200i	0.438388	+	0.367851i	−0.396718	+	0.917941i	$0.629851\pi$
$948$	1.27837	−	7.25000i	0.0415196	−	0.235469i
$949$	−42.5107			−1.37996
$950$	4.00000	+	1.73205i	0.129777	+	0.0561951i
$951$	10.1548			0.329291
$952$	−0.479055	+	2.71686i	−0.0155263	+	0.0880539i
$953$	0.949493	+	0.796719i	0.0307571	+	0.0258083i	0.658037	−	0.752986i	$-0.271387\pi$
$953$	0.949493	+	0.796719i	0.0307571	+	0.0258083i	−0.627280	+	0.778794i	$0.715832\pi$
$954$	−11.5103	−	4.18939i	−0.372659	−	0.135637i
$955$	−19.0954	+	6.95015i	−0.617912	+	0.224902i
$956$	19.0253	−	15.9641i	0.615322	−	0.516316i
$957$	−16.0569	−	27.8114i	−0.519046	−	0.899014i
$958$	20.5069	−	35.5189i	0.662547	−	1.14756i
$959$	0.995252	+	5.64436i	0.0321384	+	0.182266i
$960$	0.173648	+	0.984808i	0.00560447	+	0.0317845i
$961$	8.88191	−	15.3839i	0.286513	−	0.496256i
$962$	9.50774	+	16.4679i	0.306542	+	0.530946i
$963$	4.16637	−	3.49600i	0.134260	−	0.112657i
$964$	4.09879	−	1.49184i	0.132013	−	0.0480489i
$965$	4.12701	+	1.50211i	0.132853	+	0.0483546i
$966$	−3.73783	−	3.13641i	−0.120263	−	0.100912i
$967$	−8.41019	+	47.6965i	−0.270453	+	1.53382i	0.482590	+	0.875846i	$0.339696\pi$
$967$	−8.41019	+	47.6965i	−0.270453	+	1.53382i	−0.753043	+	0.657971i	$0.771415\pi$
$968$	−1.77332			−0.0569966
$969$	−4.27379	+	17.9211i	−0.137294	+	0.575709i
$970$	−6.30541			−0.202454
$971$	−5.19846	+	29.4819i	−0.166827	+	0.946121i	0.780334	+	0.625362i	$0.215049\pi$
$971$	−5.19846	+	29.4819i	−0.166827	+	0.946121i	−0.947161	+	0.320758i	$0.896062\pi$
$972$	−0.766044	−	0.642788i	−0.0245709	−	0.0206174i
$973$	7.32130	+	2.66474i	0.234710	+	0.0854275i
$974$	−7.77631	+	2.83035i	−0.249169	+	0.0906901i
$975$	−2.61334	+	2.19285i	−0.0836939	+	0.0702275i
$976$	−7.48293	−	12.9608i	−0.239523	−	0.414865i
$977$	−25.6937	+	44.5028i	−0.822015	+	1.42377i	0.0821648	+	0.996619i	$0.473817\pi$
$977$	−25.6937	+	44.5028i	−0.822015	+	1.42377i	−0.904180	+	0.427153i	$0.859517\pi$
$978$	−0.473126	−	2.68323i	−0.0151289	−	0.0858002i
$979$	−5.88073	−	33.3513i	−0.187949	−	1.06591i
$980$	−3.28699	+	5.69323i	−0.104999	+	0.181864i
$981$	8.78359	+	15.2136i	0.280438	+	0.485733i
$982$	10.6252	−	8.91560i	0.339064	−	0.284508i
$983$	−47.2413	+	17.1944i	−1.50676	+	0.548417i	−0.957801	−	0.287431i	$-0.907199\pi$
$983$	−47.2413	+	17.1944i	−1.50676	+	0.548417i	−0.548962	+	0.835848i	$0.684977\pi$
$984$	−1.72668	−	0.628461i	−0.0550446	−	0.0200346i
$985$	17.5929	+	14.7622i	0.560555	+	0.470362i
$986$	6.59492	−	37.4017i	0.210025	−	1.19111i
$987$	−7.49020			−0.238416
$988$	−8.18866	+	12.4125i	−0.260516	+	0.394895i
$989$	34.5066			1.09725
$990$	0.620615	−	3.51968i	0.0197244	−	0.111863i
$991$	−2.31386	−	1.94156i	−0.0735023	−	0.0616757i	0.605296	−	0.796000i	$-0.293055\pi$
$991$	−2.31386	−	1.94156i	−0.0735023	−	0.0616757i	−0.678799	+	0.734324i	$0.737499\pi$
$992$	3.41875	+	1.24432i	0.108545	+	0.0395073i
$993$	−19.7947	+	7.20469i	−0.628167	+	0.228634i
$994$	5.19846	−	4.36203i	0.164885	−	0.138355i
$995$	10.4081	+	18.0273i	0.329958	+	0.571504i
$996$	2.79813	−	4.84651i	0.0886622	−	0.153568i
$997$	1.11381	+	6.31672i	0.0352746	+	0.200052i	0.997352	−	0.0727239i	$-0.0231692\pi$
$997$	1.11381	+	6.31672i	0.0352746	+	0.200052i	−0.962077	+	0.272776i	$0.912058\pi$
$998$	7.51460	+	42.6174i	0.237871	+	1.34903i
$999$	2.78699	−	4.82721i	0.0881764	−	0.152726i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	570.2.u.d.511.1	✓	6
19.9	even	9	inner	570.2.u.d.541.1	yes	6

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
570.2.u.d.511.1	✓	6	1.1	even	1	trivial
570.2.u.d.541.1	yes	6	19.9	even	9	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:	\( N \)	\(=\)	\( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	570.u (of order \(9\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.173648 + 0.984808i) q^{2} +(-0.766044 - 0.642788i) q^{3} +(-0.939693 - 0.342020i) q^{4} +(0.939693 - 0.342020i) q^{5} +(0.766044 - 0.642788i) q^{6} +(-0.326352 - 0.565258i) q^{7} +(0.500000 - 0.866025i) q^{8} +(0.173648 + 0.984808i) q^{9} +O(q^{10})\)	\(q+(-0.173648 + 0.984808i) q^{2} +(-0.766044 - 0.642788i) q^{3} +(-0.939693 - 0.342020i) q^{4} +(0.939693 - 0.342020i) q^{5} +(0.766044 - 0.642788i) q^{6} +(-0.326352 - 0.565258i) q^{7} +(0.500000 - 0.866025i) q^{8} +(0.173648 + 0.984808i) q^{9} +(0.173648 + 0.984808i) q^{10} +(-1.78699 + 3.09516i) q^{11} +(0.500000 + 0.866025i) q^{12} +(2.61334 - 2.19285i) q^{13} +(0.613341 - 0.223238i) q^{14} +(-0.939693 - 0.342020i) q^{15} +(0.766044 + 0.642788i) q^{16} +(0.733956 - 4.16247i) q^{17} -1.00000 q^{18} +(3.50000 - 2.59808i) q^{19} -1.00000 q^{20} +(-0.113341 + 0.642788i) q^{21} +(-2.73783 - 2.29731i) q^{22} +(7.02481 + 2.55682i) q^{23} +(-0.939693 + 0.342020i) q^{24} +(0.766044 - 0.642788i) q^{25} +(1.70574 + 2.95442i) q^{26} +(0.500000 - 0.866025i) q^{27} +(0.113341 + 0.642788i) q^{28} +(-1.56031 - 8.84894i) q^{29} +(0.500000 - 0.866025i) q^{30} +(-1.81908 - 3.15074i) q^{31} +(-0.766044 + 0.642788i) q^{32} +(3.35844 - 1.22237i) q^{33} +(3.97178 + 1.44561i) q^{34} +(-0.500000 - 0.419550i) q^{35} +(0.173648 - 0.984808i) q^{36} +5.57398 q^{37} +(1.95084 + 3.89798i) q^{38} -3.41147 q^{39} +(0.173648 - 0.984808i) q^{40} +(1.40760 + 1.18112i) q^{41} +(-0.613341 - 0.223238i) q^{42} +(4.33750 - 1.57872i) q^{43} +(2.73783 - 2.29731i) q^{44} +(0.500000 + 0.866025i) q^{45} +(-3.73783 + 6.47410i) q^{46} +(1.99273 + 11.3013i) q^{47} +(-0.173648 - 0.984808i) q^{48} +(3.28699 - 5.69323i) q^{49} +(0.500000 + 0.866025i) q^{50} +(-3.23783 + 2.71686i) q^{51} +(-3.20574 + 1.16679i) q^{52} +(11.5103 + 4.18939i) q^{53} +(0.766044 + 0.642788i) q^{54} +(-0.620615 + 3.51968i) q^{55} -0.652704 q^{56} +(-4.35117 - 0.259515i) q^{57} +8.98545 q^{58} +(-2.08853 + 11.8446i) q^{59} +(0.766044 + 0.642788i) q^{60} +(-14.0633 - 5.11862i) q^{61} +(3.41875 - 1.24432i) q^{62} +(0.500000 - 0.419550i) q^{63} +(-0.500000 - 0.866025i) q^{64} +(1.70574 - 2.95442i) q^{65} +(0.620615 + 3.51968i) q^{66} +(-0.256244 - 1.45323i) q^{67} +(-2.11334 + 3.66041i) q^{68} +(-3.73783 - 6.47410i) q^{69} +(0.500000 - 0.419550i) q^{70} +(9.76991 - 3.55596i) q^{71} +(0.939693 + 0.342020i) q^{72} +(-9.54576 - 8.00984i) q^{73} +(-0.967911 + 5.48930i) q^{74} -1.00000 q^{75} +(-4.17752 + 1.24432i) q^{76} +2.33275 q^{77} +(0.592396 - 3.35965i) q^{78} +(-5.63950 - 4.73210i) q^{79} +(0.939693 + 0.342020i) q^{80} +(-0.939693 + 0.342020i) q^{81} +(-1.40760 + 1.18112i) q^{82} +(-2.79813 - 4.84651i) q^{83} +(0.326352 - 0.565258i) q^{84} +(-0.733956 - 4.16247i) q^{85} +(0.801537 + 4.54574i) q^{86} +(-4.49273 + 7.78163i) q^{87} +(1.78699 + 3.09516i) q^{88} +(-7.25877 + 6.09083i) q^{89} +(-0.939693 + 0.342020i) q^{90} +(-2.09240 - 0.761570i) q^{91} +(-5.72668 - 4.80526i) q^{92} +(-0.631759 + 3.58288i) q^{93} -11.4757 q^{94} +(2.40033 - 3.63846i) q^{95} +1.00000 q^{96} +(-1.09492 + 6.20961i) q^{97} +(5.03596 + 4.22567i) q^{98} +(-3.35844 - 1.22237i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 6 q - 3 q^{7} + 3 q^{8}+O(q^{10}) \) 6 * q - 3 * q^7 + 3 * q^8	\( 6 q - 3 q^{7} + 3 q^{8} - 3 q^{11} + 3 q^{12} + 9 q^{13} - 3 q^{14} + 9 q^{17} - 6 q^{18} + 21 q^{19} - 6 q^{20} + 6 q^{21} + 3 q^{22} + 15 q^{23} + 3 q^{27} - 6 q^{28} - 15 q^{29} + 3 q^{30} + 6 q^{31} + 12 q^{33} + 9 q^{34} - 3 q^{35} + 18 q^{37} + 12 q^{41} + 3 q^{42} + 21 q^{43} - 3 q^{44} + 3 q^{45} - 3 q^{46} - 6 q^{47} + 12 q^{49} + 3 q^{50} - 9 q^{52} + 6 q^{53} - 15 q^{55} - 6 q^{56} + 18 q^{58} - 33 q^{59} - 9 q^{61} + 18 q^{62} + 3 q^{63} - 3 q^{64} + 15 q^{66} + 6 q^{67} - 6 q^{68} - 3 q^{69} + 3 q^{70} + 30 q^{71} - 27 q^{73} - 15 q^{74} - 6 q^{75} - 24 q^{77} + 9 q^{79} - 12 q^{82} - 3 q^{83} + 3 q^{84} - 9 q^{85} + 33 q^{86} - 9 q^{87} + 3 q^{88} - 21 q^{89} - 9 q^{91} - 21 q^{92} - 9 q^{93} - 30 q^{94} + 6 q^{96} + 12 q^{97} - 3 q^{98} - 12 q^{99}+O(q^{100}) \) 6 * q - 3 * q^7 + 3 * q^8 - 3 * q^11 + 3 * q^12 + 9 * q^13 - 3 * q^14 + 9 * q^17 - 6 * q^18 + 21 * q^19 - 6 * q^20 + 6 * q^21 + 3 * q^22 + 15 * q^23 + 3 * q^27 - 6 * q^28 - 15 * q^29 + 3 * q^30 + 6 * q^31 + 12 * q^33 + 9 * q^34 - 3 * q^35 + 18 * q^37 + 12 * q^41 + 3 * q^42 + 21 * q^43 - 3 * q^44 + 3 * q^45 - 3 * q^46 - 6 * q^47 + 12 * q^49 + 3 * q^50 - 9 * q^52 + 6 * q^53 - 15 * q^55 - 6 * q^56 + 18 * q^58 - 33 * q^59 - 9 * q^61 + 18 * q^62 + 3 * q^63 - 3 * q^64 + 15 * q^66 + 6 * q^67 - 6 * q^68 - 3 * q^69 + 3 * q^70 + 30 * q^71 - 27 * q^73 - 15 * q^74 - 6 * q^75 - 24 * q^77 + 9 * q^79 - 12 * q^82 - 3 * q^83 + 3 * q^84 - 9 * q^85 + 33 * q^86 - 9 * q^87 + 3 * q^88 - 21 * q^89 - 9 * q^91 - 21 * q^92 - 9 * q^93 - 30 * q^94 + 6 * q^96 + 12 * q^97 - 3 * q^98 - 12 * q^99

Introduction

L-functions

Modular forms

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Database

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