LMFDB - Embedded newform 495.2.bv.a.113.44

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [495,2,Mod(38,495)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(495, base_ring=CyclotomicField(60))

chi = DirichletCharacter(H, H._module([10, 45, 24]))

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

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

chi := DirichletCharacter("495.38");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 495 = 3^{2} \cdot 5 \cdot 11 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	495.bv (of order $60$, degree $16$, 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:	$3.95259490005$
Analytic rank:	$0$
Dimension:	$1088$
Relative dimension:	$68$ over $\Q(\zeta_{60})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{60}]$

Embedding invariants

Embedding label			113.44
Character	$\chi$	$=$	495.113
Dual form			495.2.bv.a.92.44

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.311664 + 0.811912i) q^{2} +(-1.12776 - 1.31459i) q^{3} +(0.924222 - 0.832173i) q^{4} +(-1.92972 + 1.12969i) q^{5} +(0.715848 - 1.32536i) q^{6} +(0.689447 - 1.06165i) q^{7} +(2.51347 + 1.28068i) q^{8} +(-0.456292 + 2.96510i) q^{9} +O(q^{10})$	\(q+(0.311664 + 0.811912i) q^{2} +(-1.12776 - 1.31459i) q^{3} +(0.924222 - 0.832173i) q^{4} +(-1.92972 + 1.12969i) q^{5} +(0.715848 - 1.32536i) q^{6} +(0.689447 - 1.06165i) q^{7} +(2.51347 + 1.28068i) q^{8} +(-0.456292 + 2.96510i) q^{9} +(-1.51863 - 1.21468i) q^{10} +(-1.57229 - 2.92026i) q^{11} +(-2.13627 - 0.276477i) q^{12} +(3.22124 - 3.97790i) q^{13} +(1.07685 + 0.228891i) q^{14} +(3.66134 + 1.26276i) q^{15} +(0.00355674 - 0.0338401i) q^{16} +(-0.365920 - 2.31033i) q^{17} +(-2.54961 + 0.553645i) q^{18} +(-1.31607 + 0.427616i) q^{19} +(-0.843390 + 2.64994i) q^{20} +(-2.17317 + 0.290958i) q^{21} +(1.88097 - 2.18670i) q^{22} +(-0.626608 - 2.33853i) q^{23} +(-1.15104 - 4.74849i) q^{24} +(2.44761 - 4.35996i) q^{25} +(4.23366 + 1.37560i) q^{26} +(4.41248 - 2.74410i) q^{27} +(-0.246279 - 1.55494i) q^{28} +(-8.49132 + 1.80489i) q^{29} +(0.115857 + 3.36625i) q^{30} +(-0.981374 - 9.33715i) q^{31} +(5.47821 - 1.46788i) q^{32} +(-2.06577 + 5.36028i) q^{33} +(1.76174 - 1.01714i) q^{34} +(-0.131097 + 2.82755i) q^{35} +(2.04576 + 3.12012i) q^{36} +(0.279153 + 0.547868i) q^{37} +(-0.757357 - 0.935258i) q^{38} +(-8.86212 + 0.251528i) q^{39} +(-6.29706 + 0.368096i) q^{40} +(1.54220 - 7.25550i) q^{41} +(-0.913532 - 1.67375i) q^{42} +(0.146182 - 0.545560i) q^{43} +(-3.88331 - 1.39055i) q^{44} +(-2.46912 - 6.23726i) q^{45} +(1.70339 - 1.23759i) q^{46} +(12.5705 - 0.658795i) q^{47} +(-0.0484971 + 0.0334881i) q^{48} +(2.19538 + 4.93091i) q^{49} +(4.30273 + 0.628402i) q^{50} +(-2.62446 + 3.08654i) q^{51} +(-0.333162 - 6.35710i) q^{52} +(-1.32166 + 8.34465i) q^{53} +(3.60317 + 2.72731i) q^{54} +(6.33305 + 3.85907i) q^{55} +(3.09254 - 1.78548i) q^{56} +(2.04635 + 1.24784i) q^{57} +(-4.11185 - 6.33169i) q^{58} +(1.70121 + 1.88939i) q^{59} +(4.43473 - 1.87980i) q^{60} +(-1.35685 + 12.9095i) q^{61} +(7.27509 - 3.70684i) q^{62} +(2.83332 + 2.52870i) q^{63} +(2.85915 + 3.93529i) q^{64} +(-1.72229 + 11.3152i) q^{65} +(-4.99590 - 0.00661611i) q^{66} +(0.284179 + 1.06057i) q^{67} +(-2.26079 - 1.83075i) q^{68} +(-2.36755 + 3.46105i) q^{69} +(-2.33658 + 0.774807i) q^{70} +(-3.64983 + 5.02356i) q^{71} +(-4.94421 + 6.86833i) q^{72} +(4.09188 - 2.08492i) q^{73} +(-0.357819 + 0.397398i) q^{74} +(-8.49188 + 1.69941i) q^{75} +(-0.860487 + 1.49041i) q^{76} +(-4.18432 - 0.344133i) q^{77} +(-2.96622 - 7.11687i) q^{78} +(-2.23579 + 5.02166i) q^{79} +(0.0313653 + 0.0693199i) q^{80} +(-8.58359 - 2.70590i) q^{81} +(6.37148 - 1.00914i) q^{82} +(5.01541 + 6.19352i) q^{83} +(-1.76637 + 2.07737i) q^{84} +(3.31608 + 4.04490i) q^{85} +(0.488507 - 0.0513441i) q^{86} +(11.9489 + 9.12712i) q^{87} +(-0.211996 - 9.35359i) q^{88} -2.99579 q^{89} +(4.29458 - 3.94864i) q^{90} +(-2.00229 - 6.16240i) q^{91} +(-2.52519 - 1.63988i) q^{92} +(-11.1678 + 11.8202i) q^{93} +(4.45267 + 10.0009i) q^{94} +(2.05656 - 2.31192i) q^{95} +(-8.10780 - 5.54618i) q^{96} +(-6.09812 + 2.34085i) q^{97} +(-3.31925 + 3.31925i) q^{98} +(9.37627 - 3.32950i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 1088 q - 18 q^{2} - 10 q^{3} - 18 q^{5} - 24 q^{6} - 6 q^{7}+O(q^{10}) $ 1088 * q - 18 * q^2 - 10 * q^3 - 18 * q^5 - 24 * q^6 - 6 * q^7	$ 1088 q - 18 q^{2} - 10 q^{3} - 18 q^{5} - 24 q^{6} - 6 q^{7} - 64 q^{10} - 60 q^{11} + 20 q^{12} - 6 q^{13} - 4 q^{15} - 124 q^{16} - 20 q^{18} - 42 q^{20} - 72 q^{21} - 48 q^{23} - 12 q^{25} - 28 q^{27} - 8 q^{28} + 8 q^{30} - 12 q^{31} - 62 q^{33} + 88 q^{36} - 36 q^{37} - 150 q^{38} + 18 q^{40} - 36 q^{41} + 4 q^{42} - 16 q^{43} - 20 q^{45} - 48 q^{46} - 42 q^{47} - 64 q^{48} + 78 q^{50} - 64 q^{51} + 18 q^{52} - 12 q^{55} - 264 q^{56} - 84 q^{57} - 58 q^{58} - 136 q^{60} - 12 q^{61} - 4 q^{63} - 48 q^{65} - 76 q^{66} + 8 q^{67} + 30 q^{68} - 46 q^{70} - 14 q^{72} - 24 q^{73} + 28 q^{75} - 64 q^{76} - 264 q^{77} - 104 q^{78} + 44 q^{81} - 8 q^{82} + 102 q^{83} - 6 q^{85} + 180 q^{86} - 108 q^{87} + 92 q^{88} + 356 q^{90} - 120 q^{91} + 234 q^{92} - 70 q^{93} - 78 q^{95} + 100 q^{96} - 12 q^{97}+O(q^{100}) $ 1088 * q - 18 * q^2 - 10 * q^3 - 18 * q^5 - 24 * q^6 - 6 * q^7 - 64 * q^10 - 60 * q^11 + 20 * q^12 - 6 * q^13 - 4 * q^15 - 124 * q^16 - 20 * q^18 - 42 * q^20 - 72 * q^21 - 48 * q^23 - 12 * q^25 - 28 * q^27 - 8 * q^28 + 8 * q^30 - 12 * q^31 - 62 * q^33 + 88 * q^36 - 36 * q^37 - 150 * q^38 + 18 * q^40 - 36 * q^41 + 4 * q^42 - 16 * q^43 - 20 * q^45 - 48 * q^46 - 42 * q^47 - 64 * q^48 + 78 * q^50 - 64 * q^51 + 18 * q^52 - 12 * q^55 - 264 * q^56 - 84 * q^57 - 58 * q^58 - 136 * q^60 - 12 * q^61 - 4 * q^63 - 48 * q^65 - 76 * q^66 + 8 * q^67 + 30 * q^68 - 46 * q^70 - 14 * q^72 - 24 * q^73 + 28 * q^75 - 64 * q^76 - 264 * q^77 - 104 * q^78 + 44 * q^81 - 8 * q^82 + 102 * q^83 - 6 * q^85 + 180 * q^86 - 108 * q^87 + 92 * q^88 + 356 * q^90 - 120 * q^91 + 234 * q^92 - 70 * q^93 - 78 * q^95 + 100 * q^96 - 12 * q^97

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/495\mathbb{Z}\right)^\times$.

$n$	$46$	$56$	$397$
$\chi(n)$	$e\left(\frac{4}{5}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{3}{4}\right)$

Coefficient data

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

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

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

$2$	0.311664	+	0.811912i	0.220380	+	0.574109i	0.998543	−	0.0539526i	$-0.0171820\pi$
$2$	0.311664	+	0.811912i	0.220380	+	0.574109i	−0.778164	+	0.628061i	$0.783849\pi$
$3$	−1.12776	−	1.31459i	−0.651115	−	0.758979i
$3$	−1.12776	−	1.31459i	−0.651115	−	0.758979i
$4$	0.924222	−	0.832173i	0.462111	−	0.416087i
$5$	−1.92972	+	1.12969i	−0.862995	+	0.505212i
$5$	−1.92972	+	1.12969i	−0.862995	+	0.505212i
$6$	0.715848	−	1.32536i	0.292244	−	0.541075i
$7$	0.689447	−	1.06165i	0.260586	−	0.401268i	−0.684025	−	0.729458i	$-0.739772\pi$
$7$	0.689447	−	1.06165i	0.260586	−	0.401268i	0.944612	+	0.328191i	$0.106439\pi$
$8$	2.51347	+	1.28068i	0.888647	+	0.452788i
$9$	−0.456292	+	2.96510i	−0.152097	+	0.988366i
$10$	−1.51863	−	1.21468i	−0.480233	−	0.384115i
$11$	−1.57229	−	2.92026i	−0.474063	−	0.880491i
$11$	−1.57229	−	2.92026i	−0.474063	−	0.880491i
$12$	−2.13627	−	0.276477i	−0.616689	−	0.0798120i
$13$	3.22124	−	3.97790i	0.893412	−	1.10327i	−0.100700	−	0.994917i	$-0.532108\pi$
$13$	3.22124	−	3.97790i	0.893412	−	1.10327i	0.994112	−	0.108355i	$-0.0345584\pi$
$14$	1.07685	+	0.228891i	0.287799	+	0.0611736i
$15$	3.66134	+	1.26276i	0.945355	+	0.326044i
$16$	0.00355674	−	0.0338401i	0.000889186	−	0.00846004i
$17$	−0.365920	−	2.31033i	−0.0887487	−	0.560337i	−0.991493	−	0.130160i	$-0.958451\pi$
$17$	−0.365920	−	2.31033i	−0.0887487	−	0.560337i	0.902744	−	0.430177i	$-0.141549\pi$
$18$	−2.54961	+	0.553645i	−0.600949	+	0.130495i
$19$	−1.31607	+	0.427616i	−0.301926	+	0.0981018i	−0.456062	−	0.889948i	$-0.650741\pi$
$19$	−1.31607	+	0.427616i	−0.301926	+	0.0981018i	0.154136	+	0.988050i	$0.450741\pi$
$20$	−0.843390	+	2.64994i	−0.188588	+	0.592545i
$21$	−2.17317	+	0.290958i	−0.474226	+	0.0634922i
$22$	1.88097	−	2.18670i	0.401024	−	0.466206i
$23$	−0.626608	−	2.33853i	−0.130657	−	0.487618i	0.869321	−	0.494248i	$-0.164556\pi$
$23$	−0.626608	−	2.33853i	−0.130657	−	0.487618i	−0.999978	+	0.00662959i	$0.997890\pi$
$24$	−1.15104	−	4.74849i	−0.234955	−	0.969281i
$25$	2.44761	−	4.35996i	0.489522	−	0.871991i
$26$	4.23366	+	1.37560i	0.830288	+	0.269777i
$27$	4.41248	−	2.74410i	0.849181	−	0.528101i
$28$	−0.246279	−	1.55494i	−0.0465423	−	0.293857i
$29$	−8.49132	+	1.80489i	−1.57680	+	0.335159i	−0.911462	−	0.411384i	$-0.865046\pi$
$29$	−8.49132	+	1.80489i	−1.57680	+	0.335159i	−0.665337	+	0.746543i	$0.731712\pi$
$30$	0.115857	+	3.36625i	0.0211525	+	0.614590i
$31$	−0.981374	−	9.33715i	−0.176260	−	1.67700i	−0.622910	−	0.782293i	$-0.714050\pi$
$31$	−0.981374	−	9.33715i	−0.176260	−	1.67700i	0.446650	−	0.894709i	$-0.352617\pi$
$32$	5.47821	−	1.46788i	0.968421	−	0.259488i
$33$	−2.06577	+	5.36028i	−0.359604	+	0.933105i
$34$	1.76174	−	1.01714i	0.302136	−	0.174438i
$35$	−0.131097	+	2.82755i	−0.0221595	+	0.477944i
$36$	2.04576	+	3.12012i	0.340960	+	0.520020i
$37$	0.279153	+	0.547868i	0.0458924	+	0.0900690i	0.912814	−	0.408376i	$-0.133905\pi$
$37$	0.279153	+	0.547868i	0.0458924	+	0.0900690i	−0.866921	+	0.498445i	$0.833905\pi$
$38$	−0.757357	−	0.935258i	−0.122859	−	0.151719i
$39$	−8.86212	+	0.251528i	−1.41907	+	0.0402767i
$40$	−6.29706	+	0.368096i	−0.995652	+	0.0582011i
$41$	1.54220	−	7.25550i	0.240852	−	1.13312i	−0.676934	−	0.736043i	$-0.736692\pi$
$41$	1.54220	−	7.25550i	0.240852	−	1.13312i	0.917786	−	0.397075i	$-0.129975\pi$
$42$	−0.913532	−	1.67375i	−0.140961	−	0.258265i
$43$	0.146182	−	0.545560i	0.0222926	−	0.0831971i	−0.953883	−	0.300177i	$-0.902954\pi$
$43$	0.146182	−	0.545560i	0.0222926	−	0.0831971i	0.976176	+	0.216980i	$0.0696208\pi$
$44$	−3.88331	−	1.39055i	−0.585430	−	0.209633i
$45$	−2.46912	−	6.23726i	−0.368075	−	0.929796i
$46$	1.70339	−	1.23759i	0.251152	−	0.182472i
$47$	12.5705	−	0.658795i	1.83360	−	0.0960951i	0.896053	−	0.443947i	$-0.146422\pi$
$47$	12.5705	−	0.658795i	1.83360	−	0.0960951i	0.937550	+	0.347851i	$0.113089\pi$
$48$	−0.0484971	+	0.0334881i	−0.00699995	+	0.00483359i
$49$	2.19538	+	4.93091i	0.313626	+	0.704416i
$50$	4.30273	+	0.628402i	0.608498	+	0.0888695i
$51$	−2.62446	+	3.08654i	−0.367498	+	0.432203i
$52$	−0.333162	−	6.35710i	−0.0462012	−	0.881571i
$53$	−1.32166	+	8.34465i	−0.181544	+	1.14623i	0.713634	+	0.700518i	$0.247048\pi$
$53$	−1.32166	+	8.34465i	−0.181544	+	1.14623i	−0.895179	+	0.445708i	$0.852952\pi$
$54$	3.60317	+	2.72731i	0.490330	+	0.371140i
$55$	6.33305	+	3.85907i	0.853949	+	0.520357i
$56$	3.09254	−	1.78548i	0.413259	−	0.238595i
$57$	2.04635	+	1.24784i	0.271046	+	0.165280i
$58$	−4.11185	−	6.33169i	−0.539912	−	0.831392i
$59$	1.70121	+	1.88939i	0.221479	+	0.245977i	0.843636	−	0.536915i	$-0.180410\pi$
$59$	1.70121	+	1.88939i	0.221479	+	0.245977i	−0.622158	+	0.782892i	$0.713744\pi$
$60$	4.43473	−	1.87980i	0.572521	−	0.242681i
$61$	−1.35685	+	12.9095i	−0.173726	+	1.65290i	0.466361	+	0.884594i	$0.345565\pi$
$61$	−1.35685	+	12.9095i	−0.173726	+	1.65290i	−0.640088	+	0.768302i	$0.721102\pi$
$62$	7.27509	−	3.70684i	0.923938	−	0.470770i
$63$	2.83332	+	2.52870i	0.356965	+	0.318586i
$64$	2.85915	+	3.93529i	0.357394	+	0.491911i
$65$	−1.72229	+	11.3152i	−0.213624	+	1.40348i
$66$	−4.99590	−	0.00661611i	−0.614953	−	0.000814387i
$67$	0.284179	+	1.06057i	0.0347180	+	0.129569i	0.981110	−	0.193452i	$-0.0619683\pi$
$67$	0.284179	+	1.06057i	0.0347180	+	0.129569i	−0.946392	+	0.323021i	$0.895302\pi$
$68$	−2.26079	−	1.83075i	−0.274161	−	0.222011i
$69$	−2.36755	+	3.46105i	−0.285019	+	0.416661i
$70$	−2.33658	+	0.774807i	−0.279275	+	0.0926071i
$71$	−3.64983	+	5.02356i	−0.433155	+	0.596187i	−0.968674	−	0.248336i	$-0.920116\pi$
$71$	−3.64983	+	5.02356i	−0.433155	+	0.596187i	0.535519	+	0.844523i	$0.320116\pi$
$72$	−4.94421	+	6.86833i	−0.582681	+	0.809440i
$73$	4.09188	−	2.08492i	0.478919	−	0.244021i	−0.197829	−	0.980237i	$-0.563389\pi$
$73$	4.09188	−	2.08492i	0.478919	−	0.244021i	0.676747	+	0.736215i	$0.263389\pi$
$74$	−0.357819	+	0.397398i	−0.0415956	+	0.0461966i
$75$	−8.49188	+	1.69941i	−0.980558	+	0.196230i
$76$	−0.860487	+	1.49041i	−0.0987046	+	0.170961i
$77$	−4.18432	−	0.344133i	−0.476847	−	0.0392176i
$78$	−2.96622	−	7.11687i	−0.335858	−	0.805827i
$79$	−2.23579	+	5.02166i	−0.251546	+	0.564981i	−0.994545	−	0.104312i	$-0.966736\pi$
$79$	−2.23579	+	5.02166i	−0.251546	+	0.564981i	0.742999	+	0.669293i	$0.233403\pi$
$80$	0.0313653	+	0.0693199i	0.00350675	+	0.00775020i
$81$	−8.58359	−	2.70590i	−0.953733	−	0.300656i
$82$	6.37148	−	1.00914i	0.703612	−	0.111441i
$83$	5.01541	+	6.19352i	0.550513	+	0.679827i	0.974123	−	0.226018i	$-0.0725707\pi$
$83$	5.01541	+	6.19352i	0.550513	+	0.679827i	−0.423610	+	0.905845i	$0.639237\pi$
$84$	−1.76637	+	2.07737i	−0.192727	+	0.226659i
$85$	3.31608	+	4.04490i	0.359679	+	0.438731i
$86$	0.488507	−	0.0513441i	0.0526771	−	0.00553658i
$87$	11.9489	+	9.12712i	1.28106	+	0.978530i
$88$	−0.211996	−	9.35359i	−0.0225989	−	0.997096i
$89$	−2.99579			−0.317553			−0.158777	−	0.987315i	$-0.550755\pi$
$89$	−2.99579			−0.317553			−0.158777	+	0.987315i	$0.550755\pi$
$90$	4.29458	−	3.94864i	0.452688	−	0.416223i
$91$	−2.00229	−	6.16240i	−0.209897	−	0.645995i
$92$	−2.52519	−	1.63988i	−0.263269	−	0.170969i
$93$	−11.1678	+	11.8202i	−1.15804	+	1.22570i
$94$	4.45267	+	10.0009i	0.459258	+	1.03151i
$95$	2.05656	−	2.31192i	0.210999	−	0.237198i
$96$	−8.10780	−	5.54618i	−0.827499	−	0.566054i
$97$	−6.09812	+	2.34085i	−0.619170	+	0.237677i	−0.647675	−	0.761917i	$-0.724259\pi$
$97$	−6.09812	+	2.34085i	−0.619170	+	0.237677i	0.0285053	+	0.999594i	$0.490925\pi$
$98$	−3.31925	+	3.31925i	−0.335294	+	0.335294i
$99$	9.37627	−	3.32950i	0.942351	−	0.334627i
$100$	−1.36611	−	6.06640i	−0.136611	−	0.606640i
$101$	5.33456	−	11.9816i	0.530809	−	1.19222i	−0.426853	−	0.904321i	$-0.640378\pi$
$101$	5.33456	−	11.9816i	0.530809	−	1.19222i	0.957662	−	0.287895i	$-0.0929556\pi$
$102$	−3.32395	−	1.16887i	−0.329121	−	0.115735i
$103$	0.625740	−	11.9398i	0.0616560	−	1.17647i	−0.776168	−	0.630526i	$-0.782839\pi$
$103$	0.625740	−	11.9398i	0.0616560	−	1.17647i	0.837824	−	0.545940i	$-0.183827\pi$
$104$	13.1909	−	5.87298i	1.29348	−	0.575893i
$105$	3.86492	−	3.01648i	0.377177	−	0.294378i
$106$	−7.18704	+	1.52765i	−0.698067	+	0.148379i
$107$	2.66975	−	5.23969i	0.258095	−	0.506540i	−0.725205	−	0.688533i	$-0.758255\pi$
$107$	2.66975	−	5.23969i	0.258095	−	0.506540i	0.983300	+	0.181993i	$0.0582549\pi$
$108$	1.79455	−	6.20810i	0.172680	−	0.597375i
$109$			7.87785i			0.754561i	0.926099	+	0.377280i	$0.123141\pi$
$109$			7.87785i			0.754561i	−0.926099	+	0.377280i	$0.876859\pi$
$110$	−1.15944	+	6.34462i	−0.110549	+	0.604936i
$111$	0.405403	−	0.984838i	0.0384792	−	0.0934767i
$112$	−0.0334744	−	0.0271070i	−0.00316303	−	0.00256137i
$113$	3.98035	−	2.58487i	0.374440	−	0.243164i	−0.343675	−	0.939089i	$-0.611672\pi$
$113$	3.98035	−	2.58487i	0.374440	−	0.243164i	0.718115	+	0.695924i	$0.245005\pi$
$114$	−0.375360	+	2.05036i	−0.0351557	+	0.192034i
$115$	3.85099	+	3.80483i	0.359107	+	0.354803i
$116$	−6.34589	+	8.73437i	−0.589201	+	0.810966i
$117$	10.3250	+	11.3664i	0.954550	+	1.05082i
$118$	−1.00381	+	1.97009i	−0.0924082	+	0.181361i
$119$	−2.70506	−	1.20437i	−0.247972	−	0.110404i
$120$	7.58549	+	7.86292i	0.692458	+	0.717783i
$121$	−6.05581	+	9.18298i	−0.550528	+	0.834817i
$122$	−10.9043	+	2.92180i	−0.987228	+	0.264527i
$123$	−11.2772	+	6.15513i	−1.01684	+	0.554990i
$124$	−8.67714	−	7.81293i	−0.779230	−	0.701622i
$125$	0.202204	+	11.1785i	0.0180857	+	0.999836i
$126$	−1.17004	+	3.08851i	−0.104235	+	0.275147i
$127$	9.07655	−	1.43758i	0.805414	−	0.127565i	0.259866	−	0.965645i	$-0.416322\pi$
$127$	9.07655	−	1.43758i	0.805414	−	0.127565i	0.545548	+	0.838080i	$0.316322\pi$
$128$	3.87379	−	5.96511i	0.342398	−	0.527246i
$129$	−0.882047	+	0.423094i	−0.0776599	+	0.0372513i
$130$	−9.72375	+	2.12820i	−0.852829	+	0.186655i
$131$	9.84305	+	5.68289i	0.859991	+	0.496516i	0.864009	−	0.503476i	$-0.167946\pi$
$131$	9.84305	+	5.68289i	0.859991	+	0.496516i	−0.00401798	+	0.999992i	$0.501279\pi$
$132$	2.55145	+	6.67317i	0.222076	+	0.580825i
$133$	−0.453377	+	1.69203i	−0.0393128	+	0.146717i
$134$	−0.772522	+	0.561270i	−0.0667357	+	0.0484863i
$135$	−5.41485	+	10.2800i	−0.466036	+	0.884766i
$136$	2.03906	−	6.27558i	0.174848	−	0.538126i
$137$	−17.4220	+	14.1081i	−1.48847	+	1.20534i	−0.563026	+	0.826439i	$0.690363\pi$
$137$	−17.4220	+	14.1081i	−1.48847	+	1.20534i	−0.925439	+	0.378896i	$0.876304\pi$
$138$	−3.54795	−	0.843555i	−0.302021	−	0.0718082i
$139$	−8.53962	+	7.68911i	−0.724321	+	0.652182i	−0.946455	−	0.322834i	$-0.895364\pi$
$139$	−8.53962	+	7.68911i	−0.724321	+	0.652182i	0.222134	+	0.975016i	$0.428698\pi$
$140$	2.23185	+	2.72238i	0.188626	+	0.230083i
$141$	−15.0427	−	15.7821i	−1.26682	−	1.32910i
$142$	−5.21621	−	1.39768i	−0.437735	−	0.117291i
$143$	−16.6812	−	3.15244i	−1.39495	−	0.263621i
$144$	0.0987164	+	0.0259871i	0.00822637	+	0.00216559i
$145$	14.3469	−	13.0755i	1.19144	−	1.08586i
$146$	2.96807	+	2.67246i	0.245639	+	0.221174i
$147$	4.00625	−	8.44693i	0.330430	−	0.696691i
$148$	0.713921	+	0.274048i	0.0586839	+	0.0225266i
$149$	9.85651	−	4.38840i	0.807477	−	0.359512i	0.0388787	−	0.999244i	$-0.487621\pi$
$149$	9.85651	−	4.38840i	0.807477	−	0.359512i	0.768598	+	0.639732i	$0.220955\pi$
$150$	−4.02638	−	6.36502i	−0.328753	−	0.519702i
$151$	8.80239	−	9.77604i	0.716328	−	0.795563i	−0.269557	−	0.962984i	$-0.586877\pi$
$151$	8.80239	−	9.77604i	0.716328	−	0.795563i	0.985885	+	0.167421i	$0.0535440\pi$
$152$	−3.85553	−	0.610656i	−0.312725	−	0.0495308i
$153$	7.01732	−	0.0308035i	0.567316	−	0.00249031i
$154$	−1.02469	−	3.50455i	−0.0825722	−	0.282405i
$155$	12.4418	+	16.9094i	0.999353	+	1.35820i
$156$	−7.98125	+	7.60729i	−0.639011	+	0.609070i
$157$	−2.41383	+	1.56756i	−0.192645	+	0.125105i	−0.637357	−	0.770568i	$-0.719973\pi$
$157$	−2.41383	+	1.56756i	−0.192645	+	0.125105i	0.444713	+	0.895673i	$0.353306\pi$
$158$	−4.77397	−	0.250193i	−0.379796	−	0.0199043i
$159$	12.4603	−	7.67336i	0.988167	−	0.608537i
$160$	−8.91315	+	9.02127i	−0.704646	+	0.713194i
$161$	−2.91473	−	0.947053i	−0.229713	−	0.0746382i
$162$	−0.478243	−	7.81246i	−0.0375743	−	0.613805i
$163$	−12.2524	−	1.94059i	−0.959681	−	0.151999i	−0.343108	−	0.939296i	$-0.611480\pi$
$163$	−12.2524	−	1.94059i	−0.959681	−	0.151999i	−0.616574	+	0.787297i	$0.711480\pi$
$164$	−4.61249	−	7.98907i	−0.360175	−	0.623842i
$165$	−2.06910	−	12.6775i	−0.161079	−	0.986941i
$166$	−3.46547	+	6.00237i	−0.268973	+	0.465874i
$167$	0.212652	−	0.262603i	0.0164555	−	0.0203208i	−0.768852	−	0.639427i	$-0.779172\pi$
$167$	0.212652	−	0.262603i	0.0164555	−	0.0203208i	0.785307	+	0.619106i	$0.212505\pi$
$168$	−5.83484	−	2.05182i	−0.450168	−	0.158302i
$169$	−2.74446	−	12.9117i	−0.211112	−	0.993206i
$170$	−2.25061	+	3.95301i	−0.172614	+	0.303182i
$171$	−0.667411	−	4.09738i	−0.0510382	−	0.313334i
$172$	−0.318896	−	0.625868i	−0.0243156	−	0.0477220i
$173$	0.300795	+	5.73951i	0.0228690	+	0.436367i	0.985938	+	0.167112i	$0.0534442\pi$
$173$	0.300795	+	5.73951i	0.0228690	+	0.436367i	−0.963069	+	0.269255i	$0.913223\pi$
$174$	−3.68638	+	12.5461i	−0.279464	+	0.951114i
$175$	−2.94127	−	5.60447i	−0.222339	−	0.423658i
$176$	−0.104414	+	0.0428199i	−0.00787052	+	0.00322767i
$177$	0.565201	−	4.36718i	0.0424831	−	0.328257i
$178$	−0.933680	−	2.43232i	−0.0699823	−	0.182310i
$179$	2.22620	+	6.85154i	0.166394	+	0.512108i	0.999136	−	0.0415525i	$-0.0132304\pi$
$179$	2.22620	+	6.85154i	0.166394	+	0.512108i	−0.832742	+	0.553661i	$0.813230\pi$
$180$	−7.47250	−	3.70988i	−0.556967	−	0.276518i
$181$	−3.54219	−	2.57355i	−0.263289	−	0.191290i	0.448307	−	0.893880i	$-0.352027\pi$
$181$	−3.54219	−	2.57355i	−0.263289	−	0.191290i	−0.711596	+	0.702589i	$0.752027\pi$
$182$	4.37929	−	3.54628i	0.324615	−	0.262868i
$183$	18.5009	−	12.7752i	1.36763	−	0.944372i
$184$	1.41995	−	6.68032i	0.104680	−	0.492480i
$185$	−1.15761	−	0.741874i	−0.0851089	−	0.0545437i
$186$	−13.0776	−	5.38331i	−0.958894	−	0.394724i
$187$	−6.17143	+	4.70109i	−0.451299	+	0.343778i
$188$	11.0697	−	11.0697i	0.807344	−	0.807344i
$189$	0.128885	−	6.57643i	0.00937502	−	0.478365i
$190$	2.51803	+	0.949205i	0.182677	+	0.0688625i
$191$	0.0154345	+	0.0726138i	0.00111680	+	0.00525415i	0.978702	−	0.205284i	$-0.0658118\pi$
$191$	0.0154345	+	0.0726138i	0.00111680	+	0.00525415i	−0.977586	+	0.210538i	$0.932478\pi$
$192$	1.94884	−	8.19670i	0.140645	−	0.591546i
$193$	−4.50137	−	1.72791i	−0.324016	−	0.124378i	0.190923	−	0.981605i	$-0.438852\pi$
$193$	−4.50137	−	1.72791i	−0.324016	−	0.124378i	−0.514939	+	0.857227i	$0.672185\pi$
$194$	−3.80113	−	4.22158i	−0.272905	−	0.303092i
$195$	16.8172	−	10.4968i	1.20431	−	0.751692i
$196$	6.13239	+	2.73032i	0.438028	+	0.195023i
$197$	−1.95675	−	1.95675i	−0.139413	−	0.139413i	0.633956	−	0.773369i	$-0.281430\pi$
$197$	−1.95675	−	1.95675i	−0.139413	−	0.139413i	−0.773369	+	0.633956i	$0.781430\pi$
$198$	5.62551	+	6.57503i	0.399787	+	0.467267i
$199$		−	12.0660i		−	0.855338i	−0.903936	−	0.427669i	$-0.859335\pi$
$199$		−	12.0660i		−	0.855338i	0.903936	−	0.427669i	$-0.140665\pi$
$200$	11.7357	−	7.82403i	0.829839	−	0.553243i
$201$	1.07373	−	1.56965i	0.0757349	−	0.110715i
$202$	11.3906	+	0.596957i	0.801442	+	0.0420018i
$203$	−3.93815	+	10.2592i	−0.276404	+	0.720057i
$204$	0.142952	+	5.03666i	0.0100087	+	0.352637i
$205$	5.22044	+	15.7433i	0.364611	+	1.09956i
$206$	9.88911	−	3.21317i	0.689007	−	0.223872i
$207$	7.21990	−	0.790899i	0.501817	−	0.0549713i
$208$	−0.123156	−	0.123156i	−0.00853931	−	0.00853931i
$209$	3.31798	+	3.17092i	0.229510	+	0.219337i
$210$	3.65367	+	2.19785i	0.252127	+	0.151666i
$211$	2.54872	+	24.2494i	0.175461	+	1.66940i	0.628424	+	0.777871i	$0.283700\pi$
$211$	2.54872	+	24.2494i	0.175461	+	1.66940i	−0.452963	+	0.891529i	$0.649633\pi$
$212$	5.72269	+	8.81216i	0.393036	+	0.605222i
$213$	10.7201	−	0.867367i	0.734528	−	0.0594310i
$214$	5.08624	+	0.534585i	0.347688	+	0.0365435i
$215$	0.334223	+	1.21792i	0.0227938	+	0.0830612i
$216$	14.6049	−	1.24625i	0.993740	−	0.0847963i
$217$	−10.5894	−	5.39559i	−0.718858	−	0.366276i
$218$	−6.39612	+	2.45524i	−0.433200	+	0.166290i
$219$	−7.35550	−	3.02785i	−0.497038	−	0.204603i
$220$	9.06457	−	1.70356i	0.611133	−	0.114854i
$221$	−10.3690	−	5.98654i	−0.697494	−	0.402698i
$222$	0.925952	+	0.0222133i	0.0621458	+	0.00149086i
$223$	28.0941	−	1.47235i	1.88132	−	0.0985959i	0.923089	−	0.384585i	$-0.125656\pi$
$223$	28.0941	−	1.47235i	1.88132	−	0.0985959i	0.958233	+	0.285990i	$0.0923223\pi$
$224$	2.21855	−	6.82800i	0.148233	−	0.456215i
$225$	11.8109	+	9.24681i	0.787391	+	0.616454i
$226$	3.33922	+	2.42609i	0.222122	+	0.161381i
$227$	19.0123	+	12.3467i	1.26189	+	0.819482i	0.989755	−	0.142777i	$-0.0456031\pi$
$227$	19.0123	+	12.3467i	1.26189	+	0.819482i	0.272136	+	0.962259i	$0.412270\pi$
$228$	2.92970	−	0.549642i	0.194024	−	0.0364009i
$229$	16.8196	−	1.76781i	1.11147	−	0.116820i	0.469050	−	0.883171i	$-0.344596\pi$
$229$	16.8196	−	1.76781i	1.11147	−	0.116820i	0.642422	+	0.766351i	$0.277930\pi$
$230$	−1.88898	+	4.31250i	−0.124555	+	0.284358i
$231$	4.26653	+	5.88876i	0.280717	+	0.387452i
$232$	−23.6542	−	6.33812i	−1.55297	−	0.416118i
$233$	0.812953	−	5.13278i	0.0532583	−	0.336260i	−0.946644	−	0.322281i	$-0.895550\pi$
$233$	0.812953	−	5.13278i	0.0532583	−	0.336260i	0.999902	−	0.0139786i	$-0.00444968\pi$
$234$	−6.01057	+	11.9255i	−0.392923	+	0.779596i
$235$	−23.5134	+	15.4721i	−1.53384	+	1.00929i
$236$	3.14459	+	0.330510i	0.204696	+	0.0215144i
$237$	9.12287	−	2.72411i	0.592594	−	0.176950i
$238$	0.134773	−	2.57163i	0.00873605	−	0.166694i
$239$	−7.65575	−	1.62728i	−0.495209	−	0.105260i	−0.0464645	−	0.998920i	$-0.514795\pi$
$239$	−7.65575	−	1.62728i	−0.495209	−	0.105260i	−0.448745	+	0.893660i	$0.648129\pi$
$240$	0.0557545	−	0.119409i	0.00359894	−	0.00770782i
$241$	5.62999	+	9.75144i	0.362660	+	0.628145i	0.988398	−	0.151888i	$-0.0485354\pi$
$241$	5.62999	+	9.75144i	0.362660	+	0.628145i	−0.625738	+	0.780033i	$0.715202\pi$
$242$	−9.34316	−	2.05478i	−0.600601	−	0.132086i
$243$	6.12313	+	14.3355i	0.392799	+	0.919624i
$244$	9.48894	+	13.0604i	0.607467	+	0.836107i
$245$	−9.80686	−	7.03516i	−0.626537	−	0.449460i
$246$	−8.51214	−	7.23780i	−0.542714	−	0.461466i
$247$	−2.53835	+	6.61264i	−0.161512	+	0.420752i
$248$	9.49123	−	24.7255i	0.602694	−	1.57007i
$249$	2.48573	−	13.5780i	0.157527	−	0.860474i
$250$	−9.01295	+	3.64811i	−0.570029	+	0.230727i
$251$	−13.3694	−	18.4014i	−0.843868	−	1.16149i	−0.985181	−	0.171520i	$-0.945132\pi$
$251$	−13.3694	−	18.4014i	−0.843868	−	1.16149i	0.141312	−	0.989965i	$-0.454868\pi$
$252$	4.72293	−	0.0207320i	0.297517	−	0.00130599i
$253$	−5.84391	+	5.50671i	−0.367404	+	0.346204i
$254$	3.99603	+	6.92132i	0.250733	+	0.434283i
$255$	1.57764	−	8.92098i	0.0987954	−	0.558653i
$256$	15.5664	+	3.30875i	0.972903	+	0.206797i
$257$	1.63031	−	31.1081i	0.101696	−	1.94047i	−0.185588	−	0.982628i	$-0.559419\pi$
$257$	1.63031	−	31.1081i	0.101696	−	1.94047i	0.287284	−	0.957845i	$-0.407248\pi$
$258$	−0.618418	−	0.584282i	−0.0385010	−	0.0363758i
$259$	0.774108	+	0.0813620i	0.0481007	+	0.00505559i
$260$	7.82445	+	11.8910i	0.485252	+	0.737450i
$261$	−1.47714	−	26.0012i	−0.0914326	−	1.60943i
$262$	−1.54628	+	9.76285i	−0.0955297	+	0.603151i
$263$	8.53457	+	2.28683i	0.526264	+	0.141012i	0.512162	−	0.858889i	$-0.328845\pi$
$263$	8.53457	+	2.28683i	0.526264	+	0.141012i	0.0141014	+	0.999901i	$0.495511\pi$
$264$	−12.0570	+	10.8273i	−0.742060	+	0.666376i
$265$	−6.87642	−	17.5959i	−0.422415	−	1.08091i
$266$	−1.51508	+	0.159241i	−0.0928954	+	0.00976370i
$267$	3.37855	+	3.93823i	0.206764	+	0.241016i
$268$	1.14522	+	0.743716i	0.0699556	+	0.0454297i
$269$	−19.0023	−	13.8060i	−1.15859	−	0.841765i	−0.168991	−	0.985618i	$-0.554051\pi$
$269$	−19.0023	−	13.8060i	−1.15859	−	0.841765i	−0.989599	+	0.143853i	$0.954051\pi$
$270$	−10.0341	−	1.19247i	−0.610657	−	0.0725712i
$271$	−9.43993	+	29.0531i	−0.573435	+	1.76485i	0.0680133	+	0.997684i	$0.478334\pi$
$271$	−9.43993	+	29.0531i	−0.573435	+	1.76485i	−0.641448	+	0.767166i	$0.721666\pi$
$272$	−0.0794834	+	0.00416555i	−0.00481939	+	0.000252573i
$273$	−5.84292	+	9.58192i	−0.353630	+	0.579924i
$274$	−16.8844	−	9.74819i	−1.02002	−	0.588909i
$275$	−16.5805	−	0.292532i	−0.999844	−	0.0176403i
$276$	0.692055	+	5.16899i	0.0416568	+	0.311136i
$277$	18.4961	−	7.09999i	1.11132	−	0.426597i	0.267684	−	0.963507i	$-0.413742\pi$
$277$	18.4961	−	7.09999i	1.11132	−	0.426597i	0.843640	+	0.536910i	$0.180408\pi$
$278$	−8.90438	−	4.53701i	−0.534049	−	0.272112i
$279$	28.1334	+	1.35060i	1.68430	+	0.0808584i
$280$	−3.95069	+	6.93908i	−0.236099	+	0.414690i
$281$	22.6403	+	2.37959i	1.35061	+	0.141954i	0.752039	−	0.659118i	$-0.229070\pi$
$281$	22.6403	+	2.37959i	1.35061	+	0.141954i	0.598567	+	0.801073i	$0.295737\pi$
$282$	8.12546	−	17.1321i	0.483864	−	1.02020i
$283$	10.6374	+	16.3801i	0.632325	+	0.973696i	0.999059	+	0.0433696i	$0.0138093\pi$
$283$	10.6374	+	16.3801i	0.632325	+	0.973696i	−0.366734	+	0.930326i	$0.619524\pi$
$284$	0.807220	+	7.68018i	0.0478997	+	0.455735i
$285$	−5.35854	−	0.0962296i	−0.317413	−	0.00570015i
$286$	−2.63943	−	14.5262i	−0.156073	−	0.858952i
$287$	−6.63957	−	6.63957i	−0.391921	−	0.391921i
$288$	1.85275	+	16.9132i	0.109174	+	0.996621i
$289$	10.9642	−	3.56250i	0.644955	−	0.209559i
$290$	15.0875	+	7.57326i	0.885971	+	0.444717i
$291$	9.95449	+	5.37659i	0.583543	+	0.315182i
$292$	2.04680	−	5.33209i	0.119780	−	0.312037i
$293$	−26.9273	−	1.41120i	−1.57311	−	0.0824433i	−0.754309	−	0.656519i	$-0.772028\pi$
$293$	−26.9273	−	1.41120i	−1.57311	−	0.0824433i	−0.818802	+	0.574076i	$0.805362\pi$
$294$	8.10677	+	0.620117i	0.472797	+	0.0361660i
$295$	−5.41727	−	1.72414i	−0.315406	−	0.100383i
$296$			1.73456i			0.100819i
$297$	−14.9512	−	8.57105i	−0.867554	−	0.497343i
$298$	6.63492	+	6.63492i	0.384350	+	0.384350i
$299$	−11.3209	−	5.04040i	−0.654706	−	0.291494i
$300$	−6.43418	+	8.63735i	−0.371478	+	0.498677i
$301$	−0.478412	−	0.531330i	−0.0275752	−	0.0306253i
$302$	10.6807	+	4.09993i	0.614604	+	0.235924i
$303$	−21.7671	+	6.49970i	−1.25049	+	0.373398i
$304$	0.00978967	+	0.0460568i	0.000561476	+	0.00264154i
$305$	−11.9654	−	26.4445i	−0.685138	−	1.51421i
$306$	2.21205	+	5.68785i	0.126455	+	0.325153i
$307$	5.80979	−	5.80979i	0.331582	−	0.331582i	−0.521605	−	0.853187i	$-0.674666\pi$
$307$	5.80979	−	5.80979i	0.331582	−	0.331582i	0.853187	+	0.521605i	$0.174666\pi$
$308$	−4.15362	+	3.16402i	−0.236674	+	0.180287i
$309$	−16.4017	+	12.6427i	−0.933058	+	0.719219i
$310$	−9.85128	+	15.3717i	−0.559515	+	0.873056i
$311$	4.44277	−	20.9016i	0.251926	−	1.18522i	−0.652231	−	0.758020i	$-0.726167\pi$
$311$	4.44277	−	20.9016i	0.251926	−	1.18522i	0.904157	−	0.427200i	$-0.140500\pi$
$312$	−22.5968	−	10.7173i	−1.27929	−	0.606748i
$313$	15.5165	−	12.5651i	0.877047	−	0.710219i	−0.0810353	−	0.996711i	$-0.525823\pi$
$313$	15.5165	−	12.5651i	0.877047	−	0.710219i	0.958083	+	0.286492i	$0.0924893\pi$
$314$	−2.02503	−	1.47127i	−0.114279	−	0.0830285i
$315$	−8.32415	−	1.67891i	−0.469013	−	0.0945956i
$316$	2.11253	+	6.50170i	0.118839	+	0.365749i
$317$	−1.11181	−	2.89636i	−0.0624454	−	0.162676i	0.898808	−	0.438343i	$-0.144435\pi$
$317$	−1.11181	−	2.89636i	−0.0624454	−	0.162676i	−0.961253	+	0.275667i	$0.911101\pi$
$318$	10.1135	+	7.72518i	0.567139	+	0.433206i
$319$	18.6216	+	21.9591i	1.04261	+	1.22947i
$320$	−9.96301	−	4.36404i	−0.556949	−	0.243957i
$321$	−9.89890	+	2.39951i	−0.552503	+	0.133927i
$322$	−0.139492	−	2.66167i	−0.00777359	−	0.148329i
$323$	1.46951	+	2.88407i	0.0817656	+	0.160474i
$324$	−10.1849	+	4.64219i	−0.565829	+	0.257899i
$325$	−9.45915	−	23.7808i	−0.524699	−	1.31912i
$326$	−2.24304	−	10.5527i	−0.124231	−	0.584459i
$327$	10.3561	−	8.88436i	0.572696	−	0.491306i
$328$	13.1682	−	16.2614i	0.727095	−	0.897887i
$329$	7.96731	−	13.7998i	0.439252	−	0.760807i
$330$	9.64815	−	5.63105i	0.531113	−	0.309979i
$331$	8.89874	+	15.4131i	0.489119	+	0.847179i	0.999922	−	0.0125190i	$-0.00398503\pi$
$331$	8.89874	+	15.4131i	0.489119	+	0.847179i	−0.510803	+	0.859698i	$0.670652\pi$
$332$	9.78944	+	1.55049i	0.537265	+	0.0850944i
$333$	−1.75186	+	0.577727i	−0.0960012	+	0.0316592i
$334$	0.279487	+	0.0908107i	0.0152928	+	0.00496894i
$335$	−1.74650	−	1.72556i	−0.0954214	−	0.0942777i
$336$	0.00211663	+	0.0745754i	0.000115471	+	0.00406842i
$337$	−17.8949	−	0.937833i	−0.974798	−	0.0510870i	−0.441720	−	0.897153i	$-0.645632\pi$
$337$	−17.8949	−	0.937833i	−0.974798	−	0.0510870i	−0.533078	+	0.846066i	$0.678965\pi$
$338$	9.62780	−	6.25237i	0.523683	−	0.340084i
$339$	−7.88695	−	2.31740i	−0.428360	−	0.125864i
$340$	6.43085	+	0.978841i	0.348762	+	0.0530851i
$341$	−25.7239	+	17.5466i	−1.39303	+	0.950200i
$342$	3.11871	−	1.81889i	0.168640	−	0.0983540i
$343$	15.5006	+	2.45505i	0.836952	+	0.132560i
$344$	1.06611	−	1.18404i	0.0574809	−	0.0638391i
$345$	0.658783	−	9.35343i	0.0354677	−	0.503572i
$346$	−4.56624	+	2.03302i	−0.245482	+	0.109296i
$347$	0.438497	+	0.168323i	0.0235397	+	0.00903606i	0.370109	−	0.928988i	$-0.379320\pi$
$347$	0.438497	+	0.168323i	0.0235397	+	0.00903606i	−0.346570	+	0.938024i	$0.612654\pi$
$348$	18.6388	−	1.50807i	0.999144	−	0.0808412i
$349$	−10.3118	−	9.28475i	−0.551976	−	0.497001i	0.345288	−	0.938497i	$-0.387781\pi$
$349$	−10.3118	−	9.28475i	−0.551976	−	0.497001i	−0.897263	+	0.441496i	$0.854448\pi$
$350$	3.63365	−	4.13477i	0.194227	−	0.221013i
$351$	3.29791	−	26.3918i	0.176029	−	1.40869i
$352$	−12.8999	−	13.6899i	−0.687569	−	0.729672i
$353$	−8.18716	−	2.19374i	−0.435759	−	0.116761i	0.0342694	−	0.999413i	$-0.489090\pi$
$353$	−8.18716	−	2.19374i	−0.435759	−	0.116761i	−0.470028	+	0.882651i	$0.655756\pi$
$354$	3.72192	−	0.902198i	0.197818	−	0.0479513i
$355$	1.36808	−	13.8172i	0.0726100	−	0.733342i
$356$	−2.76877	+	2.49302i	−0.146745	+	0.132130i
$357$	1.46742	+	4.91428i	0.0776639	+	0.260091i
$358$	−4.86903	+	3.94286i	−0.257336	+	0.208387i
$359$	0.488771	−	1.50428i	0.0257964	−	0.0793930i	−0.937330	−	0.348444i	$-0.886710\pi$
$359$	0.488771	−	1.50428i	0.0257964	−	0.0793930i	0.963126	+	0.269051i	$0.0867101\pi$
$360$	1.78186	−	18.8393i	0.0939122	−	0.992920i
$361$	−13.8221	+	10.0424i	−0.727482	+	0.528546i
$362$	0.985524	−	3.67803i	0.0517980	−	0.193313i
$363$	18.9014	−	2.39534i	0.992065	−	0.125723i
$364$	−6.97874	−	4.02918i	−0.365786	−	0.211186i
$365$	−5.54087	+	8.64586i	−0.290022	+	0.452545i
$366$	16.1384	+	11.0396i	0.843570	+	0.577048i
$367$	−12.9770	+	19.9829i	−0.677396	+	1.04310i	0.318078	+	0.948065i	$0.396963\pi$
$367$	−12.9770	+	19.9829i	−0.677396	+	1.04310i	−0.995474	+	0.0950337i	$0.969704\pi$
$368$	−0.0813650	+	0.0128870i	−0.00424144	+	0.000671779i
$369$	20.8096	+	7.88341i	1.08330	+	0.410394i
$370$	0.241553	−	1.17109i	0.0125577	−	0.0608821i
$371$	7.94792	+	7.15634i	0.412636	+	0.371539i
$372$	−0.485025	+	20.2180i	−0.0251474	+	1.04826i
$373$	−0.741584	+	0.198707i	−0.0383978	+	0.0102887i	−0.277967	−	0.960591i	$-0.589661\pi$
$373$	−0.741584	+	0.198707i	−0.0383978	+	0.0102887i	0.239569	+	0.970879i	$0.422994\pi$
$374$	−5.74028	−	3.54550i	−0.296823	−	0.183333i
$375$	14.4671	−	12.8725i	0.747079	−	0.664736i
$376$	32.4394	+	14.4430i	1.67294	+	0.744839i
$377$	−20.1730	+	39.5917i	−1.03896	+	2.03907i
$378$	5.37966	−	1.94499i	0.276700	−	0.100040i
$379$	6.58835	−	9.06809i	0.338421	−	0.465797i	−0.605558	−	0.795801i	$-0.707050\pi$
$379$	6.58835	−	9.06809i	0.338421	−	0.465797i	0.943979	+	0.330004i	$0.107050\pi$
$380$	−0.0232003	−	3.84814i	−0.00119015	−	0.197406i
$381$	−12.1261	−	10.3107i	−0.621237	−	0.528232i
$382$	−0.0541457	+	0.0351626i	−0.00277033	+	0.00179908i
$383$	−14.0285	−	11.3601i	−0.716824	−	0.580473i	0.199985	−	0.979799i	$-0.435911\pi$
$383$	−14.0285	−	11.3601i	−0.716824	−	0.580473i	−0.916809	+	0.399326i	$0.869244\pi$
$384$	−12.2104	+	1.63480i	−0.623109	+	0.0834256i
$385$	8.46330	−	4.06289i	0.431330	−	0.207064i
$386$		−	4.19325i		−	0.213431i
$387$	1.55094	+	0.682380i	0.0788385	+	0.0346873i
$388$	−3.68802	+	7.23815i	−0.187231	+	0.367462i
$389$	−16.2586	+	3.45587i	−0.824344	+	0.175220i	−0.600724	−	0.799457i	$-0.705121\pi$
$389$	−16.2586	+	3.45587i	−0.824344	+	0.175220i	−0.223620	+	0.974676i	$0.571788\pi$
$390$	13.7638	+	10.3826i	0.696958	+	0.525745i
$391$	−5.17350	+	2.30339i	−0.261635	+	0.116487i
$392$	−0.796875	+	15.2053i	−0.0402483	+	0.767983i
$393$	−3.62998	−	19.3485i	−0.183108	−	0.976005i
$394$	0.978862	−	2.19856i	0.0493144	−	0.110762i
$395$	−1.35848	−	12.2161i	−0.0683525	−	0.614660i
$396$	5.89504	−	10.8799i	0.296237	−	0.546735i
$397$	−9.03233	+	9.03233i	−0.453320	+	0.453320i	−0.896455	−	0.443135i	$-0.853866\pi$
$397$	−9.03233	+	9.03233i	−0.453320	+	0.453320i	0.443135	+	0.896455i	$0.353866\pi$
$398$	9.79655	−	3.76054i	0.491057	−	0.188499i
$399$	2.73562	−	1.31220i	0.136952	−	0.0656923i
$400$	−0.138836	−	0.0983347i	−0.00694180	−	0.00491673i
$401$	9.00397	+	20.2232i	0.449637	+	1.00990i	0.986127	+	0.165994i	$0.0530832\pi$
$401$	9.00397	+	20.2232i	0.449637	+	1.00990i	−0.536490	+	0.843907i	$0.680250\pi$
$402$	1.60906	+	0.382568i	0.0802527	+	0.0190808i
$403$	−40.3035	−	26.1734i	−2.00766	−	1.30379i
$404$	−5.04047	−	15.5130i	−0.250773	−	0.771799i
$405$	19.6207	−	4.47517i	0.974962	−	0.222373i
$406$	−9.55698			−0.474305
$407$	1.16101	−	1.67661i	0.0575490	−	0.0831063i
$408$	−10.5494	+	4.39685i	−0.522273	+	0.217677i
$409$	10.0955	−	1.06108i	0.499191	−	0.0524671i	0.148413	−	0.988926i	$-0.452584\pi$
$409$	10.0955	−	1.06108i	0.499191	−	0.0524671i	0.350779	+	0.936458i	$0.385917\pi$
$410$	−11.1551	+	9.14515i	−0.550913	+	0.451647i
$411$	38.1943	+	6.99222i	1.88399	+	0.344901i
$412$	−9.35768	−	11.5558i	−0.461020	−	0.569312i
$413$	3.17877	−	0.503468i	0.156417	−	0.0247740i
$414$	2.89232	+	5.61543i	0.142150	+	0.275983i
$415$	−16.6751	−	6.28588i	−0.818547	−	0.308562i
$416$	11.8076	−	26.5202i	0.578913	−	1.30026i
$417$	19.7387	+	2.55459i	0.966609	+	0.125099i
$418$	−1.54041	+	3.68217i	−0.0753439	+	0.180101i
$419$	13.6050	−	23.5646i	0.664649	−	1.15121i	−0.314731	−	0.949181i	$-0.601914\pi$
$419$	13.6050	−	23.5646i	0.664649	−	1.15121i	0.979380	−	0.202025i	$-0.0647522\pi$
$420$	1.06181	−	6.00418i	0.0518111	−	0.292974i
$421$	−10.0170	+	11.1251i	−0.488201	+	0.542202i	−0.936031	−	0.351917i	$-0.885530\pi$
$421$	−10.0170	+	11.1251i	−0.488201	+	0.542202i	0.447831	+	0.894118i	$0.352197\pi$
$422$	−18.8941	+	9.62701i	−0.919749	+	0.468636i
$423$	−3.78245	+	37.5735i	−0.183909	+	1.82689i
$424$	−14.0088	+	19.2814i	−0.680326	+	0.936389i
$425$	−10.9686	−	4.05938i	−0.532054	−	0.196909i
$426$	4.04529	+	8.43344i	0.195995	+	0.408601i
$427$	12.7700	+	10.3409i	0.617983	+	0.500433i
$428$	−1.89288	−	7.06434i	−0.0914960	−	0.341468i
$429$	14.6683	+	25.4842i	0.708194	+	1.23039i
$430$	−0.884677	+	0.650940i	−0.0426629	+	0.0313911i
$431$	−8.58422	−	11.8152i	−0.413487	−	0.569117i	0.550577	−	0.834784i	$-0.314408\pi$
$431$	−8.58422	−	11.8152i	−0.413487	−	0.569117i	−0.964065	+	0.265668i	$0.914408\pi$
$432$	−0.0771665	−	0.159079i	−0.00371268	−	0.00765369i
$433$	−8.34705	+	4.25303i	−0.401134	+	0.204388i	−0.642906	−	0.765945i	$-0.722271\pi$
$433$	−8.34705	+	4.25303i	−0.401134	+	0.204388i	0.241772	+	0.970333i	$0.422271\pi$
$434$	1.08040	−	10.2793i	0.0518608	−	0.493423i
$435$	−33.3688	−	4.11421i	−1.59991	−	0.197261i
$436$	6.55573	+	7.28088i	0.313963	+	0.348691i
$437$	1.82465	+	2.80972i	0.0872849	+	0.134407i
$438$	0.165906	−	6.91569i	0.00792728	−	0.330445i
$439$	9.82231	−	5.67091i	0.468793	−	0.270658i	−0.246941	−	0.969030i	$-0.579425\pi$
$439$	9.82231	−	5.67091i	0.468793	−	0.270658i	0.715734	+	0.698373i	$0.246092\pi$
$440$	10.9757	+	17.8103i	0.523247	+	0.849072i
$441$	−15.6224	+	4.25958i	−0.743922	+	0.202837i
$442$	1.62890	−	10.2845i	0.0774791	−	0.489184i
$443$	−0.699586	−	13.3489i	−0.0332383	−	0.634225i	−0.963562	−	0.267486i	$-0.913807\pi$
$443$	−0.699586	−	13.3489i	−0.0332383	−	0.634225i	0.930324	−	0.366740i	$-0.119526\pi$
$444$	−0.444873	−	1.24757i	−0.0211128	−	0.0592073i
$445$	5.78102	−	3.38431i	0.274047	−	0.160432i
$446$	9.95135	+	22.3511i	0.471210	+	1.05836i
$447$	−16.8848	−	8.00818i	−0.798622	−	0.378774i
$448$	6.14915	−	0.322263i	0.290520	−	0.0152255i
$449$	−11.1557	+	8.10507i	−0.526469	+	0.382502i	−0.819035	−	0.573743i	$-0.805491\pi$
$449$	−11.1557	+	8.10507i	−0.526469	+	0.382502i	0.292566	+	0.956245i	$0.405491\pi$
$450$	−3.82658	+	12.4713i	−0.180387	+	0.587902i
$451$	−23.6127	+	6.90411i	−1.11188	+	0.325102i
$452$	1.52767	−	5.70134i	0.0718556	−	0.268169i
$453$	−22.7785	−	0.546451i	−1.07023	−	0.0256745i
$454$	−4.09902	+	19.2844i	−0.192376	+	0.905060i
$455$	10.8254	+	9.62973i	0.507504	+	0.451449i
$456$	3.54537	+	5.75712i	0.166027	+	0.269602i
$457$	16.1211	+	19.9079i	0.754113	+	0.931252i	0.999269	−	0.0382313i	$-0.0121724\pi$
$457$	16.1211	+	19.9079i	0.754113	+	0.931252i	−0.245156	+	0.969484i	$0.578839\pi$
$458$	6.67738	+	13.1051i	0.312014	+	0.612361i
$459$	−7.95438	−	9.19015i	−0.371279	−	0.428960i
$460$	6.72545	+	0.311820i	0.313576	+	0.0145387i
$461$	−23.9670	+	13.8374i	−1.11626	+	0.644470i	−0.940442	−	0.339953i	$-0.889589\pi$
$461$	−23.9670	+	13.8374i	−1.11626	+	0.644470i	−0.175813	+	0.984424i	$0.556255\pi$
$462$	−3.45143	+	5.29936i	−0.160575	+	0.246549i
$463$	−26.7962	+	7.18003i	−1.24533	+	0.333684i	−0.820530	−	0.571604i	$-0.806321\pi$
$463$	−26.7962	+	7.18003i	−1.24533	+	0.333684i	−0.424797	+	0.905288i	$0.639655\pi$
$464$	0.0308762	+	0.293767i	0.00143339	+	0.0136378i
$465$	8.19745	−	35.4258i	0.380148	−	1.64283i
$466$	4.42074	−	0.939657i	0.204787	−	0.0435288i
$467$	0.796563	+	5.02930i	0.0368605	+	0.232728i	0.999240	−	0.0389809i	$-0.0124111\pi$
$467$	0.796563	+	5.02930i	0.0368605	+	0.232728i	−0.962379	+	0.271709i	$0.912411\pi$
$468$	19.0014	+	1.91284i	0.878342	+	0.0884210i
$469$	1.32189	+	0.429507i	0.0610390	+	0.0198328i
$470$	−19.8903	−	14.2687i	−0.917469	−	0.658166i
$471$	4.78294	+	1.40536i	0.220386	+	0.0647556i
$472$	1.85625	+	6.92762i	0.0854409	+	0.318870i
$473$	−1.82302	+	0.430888i	−0.0838224	+	0.0198123i
$474$	5.05501	+	6.55796i	0.232184	+	0.301217i
$475$	−1.35683	+	6.78462i	−0.0622555	+	0.311300i
$476$	−3.50232	+	1.13797i	−0.160528	+	0.0521588i
$477$	−24.1396	−	7.72646i	−1.10528	−	0.353770i
$478$	−1.06481	−	6.72296i	−0.0487034	−	0.307501i
$479$	−3.43001	+	32.6344i	−0.156721	+	1.49110i	0.579839	+	0.814731i	$0.303116\pi$
$479$	−3.43001	+	32.6344i	−0.156721	+	1.49110i	−0.736560	+	0.676372i	$0.763551\pi$
$480$	21.9112	+	1.54326i	1.00011	+	0.0704397i
$481$	3.07859	+	0.654374i	0.140371	+	0.0298369i
$482$	−6.16265	+	7.61023i	−0.280701	+	0.346637i
$483$	2.04214	+	4.89973i	0.0929207	+	0.222945i
$484$	2.04492	+	13.5266i	0.0929508	+	0.614845i
$485$	9.12320	−	11.4061i	0.414263	−	0.517926i
$486$	−9.73083	+	9.43931i	−0.441400	+	0.428176i
$487$	−0.426688	−	0.217408i	−0.0193351	−	0.00985171i	0.444296	−	0.895880i	$-0.353454\pi$
$487$	−0.426688	−	0.217408i	−0.0193351	−	0.00985171i	−0.463631	+	0.886028i	$0.653454\pi$
$488$	−19.9434	+	30.7101i	−0.902793	+	1.39018i
$489$	11.2667	+	18.2954i	0.509500	+	0.827346i
$490$	2.65549	−	10.1549i	0.119963	−	0.458752i
$491$	9.56104	−	8.60880i	0.431484	−	0.388510i	−0.424571	−	0.905395i	$-0.639575\pi$
$491$	9.56104	−	8.60880i	0.431484	−	0.388510i	0.856055	+	0.516885i	$0.172908\pi$
$492$	−5.30055	+	15.0733i	−0.238967	+	0.679558i
$493$	7.27703	+	18.9573i	0.327741	+	0.853795i
$494$	−6.16000			−0.277151
$495$	−14.3322	+	17.0173i	−0.644186	+	0.764869i
$496$	−0.319461			−0.0143442
$497$	2.81692	+	7.33834i	0.126356	+	0.329170i
$498$	11.7989	−	2.21359i	0.528721	−	0.0991935i
$499$	19.1151	−	17.2113i	0.855710	−	0.770485i	−0.119250	−	0.992864i	$-0.538049\pi$
$499$	19.1151	−	17.2113i	0.855710	−	0.770485i	0.974960	+	0.222379i	$0.0713824\pi$
$500$	9.48934	+	10.1632i	0.424376	+	0.454510i
$501$	−0.585036	+	0.0166047i	−0.0261375	+	0.000741844i
$502$	10.7736	−	16.5898i	0.480847	−	0.740440i
$503$	11.7354	+	5.97949i	0.523256	+	0.266612i	0.695606	−	0.718424i	$-0.255136\pi$
$503$	11.7354	+	5.97949i	0.523256	+	0.266612i	−0.172350	+	0.985036i	$0.555136\pi$
$504$	3.88302	+	9.98439i	0.172963	+	0.444740i
$505$	3.24131	+	29.1475i	0.144237	+	1.29705i
$506$	−6.29230	−	3.02850i	−0.279727	−	0.134633i
$507$	−13.8784	+	18.1692i	−0.616364	+	0.806921i
$508$	7.19243	−	8.88191i	0.319113	−	0.394071i
$509$	−19.0188	−	4.04257i	−0.842993	−	0.179184i	−0.233879	−	0.972266i	$-0.575142\pi$
$509$	−19.0188	−	4.04257i	−0.842993	−	0.179184i	−0.609115	+	0.793082i	$0.708475\pi$
$510$	7.73475	−	1.49945i	0.342500	−	0.0663966i
$511$	0.607672	−	5.78161i	0.0268818	−	0.255763i
$512$	−0.0602201	−	0.380214i	−0.00266138	−	0.0168033i
$513$	−4.63369	+	5.49825i	−0.204582	+	0.242754i
$514$	25.7652	−	8.37162i	1.13645	−	0.369256i
$515$	12.2808	+	23.7474i	0.541156	+	1.04643i
$516$	−0.463120	+	1.12505i	−0.0203877	+	0.0495275i
$517$	−21.6884	−	35.6734i	−0.953854	−	1.56892i
$518$	0.175203	+	0.653865i	0.00769797	+	0.0287292i
$519$	7.20588	−	6.86825i	0.316303	−	0.301482i
$520$	−18.8201	+	26.2348i	−0.825316	+	1.15047i
$521$	37.1219	+	12.0616i	1.62634	+	0.528430i	0.973426	−	0.229001i	$-0.0735458\pi$
$521$	37.1219	+	12.0616i	1.62634	+	0.528430i	0.652915	+	0.757431i	$0.273546\pi$
$522$	20.6503	−	9.30293i	0.903839	−	0.407178i
$523$	2.71549	+	17.1449i	0.118740	+	0.749694i	0.973163	+	0.230116i	$0.0739107\pi$
$523$	2.71549	+	17.1449i	0.118740	+	0.749694i	−0.854423	+	0.519578i	$0.826089\pi$
$524$	13.8263	−	2.93887i	0.604005	−	0.128385i
$525$	−4.05052	+	10.1871i	−0.176779	+	0.444601i
$526$	0.803211	+	7.64204i	0.0350217	+	0.333209i
$527$	−21.2128	+	5.68395i	−0.924044	+	0.247597i
$528$	0.174045	+	0.0889710i	0.00757435	+	0.00387197i
$529$	14.8425	−	8.56931i	0.645325	−	0.372579i
$530$	12.1432	−	11.0671i	0.527466	−	0.480722i
$531$	−6.37846	+	4.18214i	−0.276802	+	0.181489i
$532$	0.989038	+	1.94110i	0.0428802	+	0.0841572i
$533$	−23.8939	−	29.5065i	−1.03496	−	1.27807i
$534$	−2.14453	+	3.97049i	−0.0928029	+	0.171820i
$535$	0.767348	+	13.1271i	0.0331753	+	0.567534i
$536$	−0.643973	+	3.02965i	−0.0278154	+	0.130861i
$537$	6.49634	−	10.6535i	0.280338	−	0.459731i
$538$	5.28691	−	19.7310i	0.227935	−	0.850665i
$539$	10.9477	−	14.1639i	0.471553	−	0.610082i
$540$	3.55025	+	14.0071i	0.152779	+	0.602772i
$541$	23.6719	−	17.1986i	1.01773	−	0.739427i	0.0519165	−	0.998651i	$-0.483467\pi$
$541$	23.6719	−	17.1986i	1.01773	−	0.739427i	0.965817	+	0.259225i	$0.0834670\pi$
$542$	−26.5307	+	1.39041i	−1.13959	+	0.0597234i
$543$	0.611593	+	7.55888i	0.0262460	+	0.324383i
$544$	−5.39588	−	12.1194i	−0.231347	−	0.519613i
$545$	−8.89951	−	15.2020i	−0.381213	−	0.651182i
$546$	−9.60071	−	1.75760i	−0.410873	−	0.0752183i
$547$	0.870772	+	16.6153i	0.0372315	+	0.710420i	0.951936	+	0.306297i	$0.0990900\pi$
$547$	0.870772	+	16.6153i	0.0372315	+	0.710420i	−0.914705	+	0.404123i	$0.867577\pi$
$548$	−4.36146	+	27.5372i	−0.186312	+	1.17633i
$549$	−37.6589	−	9.91370i	−1.60724	−	0.423106i
$550$	−4.93005	−	13.5531i	−0.210218	−	0.577907i
$551$	10.4033	−	6.00637i	0.443197	−	0.255880i
$552$	−10.3833	+	5.66719i	−0.441941	+	0.241212i
$553$	3.78982	+	5.83580i	0.161159	+	0.248164i
$554$	11.5291	+	12.8044i	0.489826	+	0.544007i
$555$	0.330247	+	2.35844i	0.0140182	+	0.100110i
$556$	−1.49384	+	14.2129i	−0.0633527	+	0.602761i
$557$	18.9960	−	9.67896i	0.804887	−	0.410111i	−0.00259925	−	0.999997i	$-0.500827\pi$
$557$	18.9960	−	9.67896i	0.804887	−	0.410111i	0.807486	+	0.589886i	$0.200827\pi$
$558$	7.67158	+	23.2628i	0.324764	+	0.984791i
$559$	−1.69930	−	2.33888i	−0.0718726	−	0.0989242i
$560$	0.0952185	+	0.0144932i	0.00402372	+	0.000612450i
$561$	13.1399	+	2.81117i	0.554768	+	0.118688i
$562$	5.12415	+	19.1236i	0.216149	+	0.806679i
$563$	10.8737	+	8.80538i	0.458273	+	0.371103i	0.830481	−	0.557047i	$-0.188066\pi$
$563$	10.8737	+	8.80538i	0.458273	+	0.371103i	−0.372207	+	0.928150i	$0.621399\pi$
$564$	−27.0363	−	2.06810i	−1.13843	−	0.0870828i
$565$	−4.76085	+	9.48463i	−0.200291	+	0.399021i
$566$	−9.98392	+	13.7417i	−0.419656	+	0.577606i
$567$	−8.79066	+	7.24724i	−0.369173	+	0.304355i
$568$	−15.6073	+	7.95233i	−0.654869	+	0.333672i
$569$	−9.16966	+	10.1839i	−0.384412	+	0.426933i	−0.904032	−	0.427465i	$-0.859407\pi$
$569$	−9.16966	+	10.1839i	−0.384412	+	0.426933i	0.519620	+	0.854398i	$0.326074\pi$
$570$	−1.59194	−	4.38066i	−0.0666788	−	0.183486i
$571$	14.5407	−	25.1852i	0.608508	−	1.05397i	−0.382979	−	0.923757i	$-0.625102\pi$
$571$	14.5407	−	25.1852i	0.608508	−	1.05397i	0.991487	−	0.130209i	$-0.0415649\pi$
$572$	−18.0405	+	10.9681i	−0.754313	+	0.458600i
$573$	0.0780508	−	0.102181i	0.00326062	−	0.00426869i
$574$	3.32143	−	7.46006i	0.138634	−	0.311377i
$575$	−11.7296	−	2.99183i	−0.489158	−	0.124768i
$576$	−12.9731	+	6.68203i	−0.540547	+	0.278418i
$577$	19.9590	−	3.16119i	0.830902	−	0.131602i	0.273529	−	0.961864i	$-0.411809\pi$
$577$	19.9590	−	3.16119i	0.830902	−	0.131602i	0.557374	+	0.830262i	$0.311809\pi$
$578$	6.30959	+	7.79170i	0.262444	+	0.324092i
$579$	2.80499	+	7.86614i	0.116571	+	0.326905i
$580$	2.37865	−	24.0237i	0.0987681	−	0.997531i
$581$	10.0332	−	1.05454i	0.416249	−	0.0437495i
$582$	−1.26287	+	9.75787i	−0.0523475	+	0.404477i
$583$	26.4466	−	9.26061i	1.09530	−	0.383535i
$584$	12.9550			0.536080
$585$	−32.7649	−	10.2698i	−1.35466	−	0.424604i
$586$	−7.24651	−	22.3025i	−0.299351	−	0.921306i
$587$	15.5932	+	10.1264i	0.643602	+	0.417960i	0.824751	−	0.565496i	$-0.191315\pi$
$587$	15.5932	+	10.1264i	0.643602	+	0.417960i	−0.181149	+	0.983456i	$0.557982\pi$
$588$	−3.32665	−	11.1407i	−0.137189	−	0.459436i
$589$	5.28427	+	11.8687i	0.217734	+	0.489039i
$590$	−0.288517	−	4.93570i	−0.0118781	−	0.203200i
$591$	−0.365570	+	4.77908i	−0.0150375	+	0.196585i
$592$	0.0195328	−	0.00749795i	0.000802794	−	0.000308164i
$593$	13.6879	−	13.6879i	0.562093	−	0.562093i	−0.367809	−	0.929901i	$-0.619892\pi$
$593$	13.6879	−	13.6879i	0.562093	−	0.562093i	0.929901	+	0.367809i	$0.119892\pi$
$594$	2.29921	−	14.8103i	0.0943377	−	0.607675i
$595$	6.58055	−	0.731781i	0.269776	−	0.0300001i
$596$	5.45769	−	12.2582i	0.223556	−	0.502115i
$597$	−15.8619	+	13.6076i	−0.649183	+	0.556923i
$598$	0.564039	−	10.7625i	0.0230653	−	0.440112i
$599$	−12.5785	+	5.60033i	−0.513945	+	0.228823i	−0.647286	−	0.762247i	$-0.724096\pi$
$599$	−12.5785	+	5.60033i	−0.513945	+	0.228823i	0.133341	+	0.991070i	$0.457429\pi$
$600$	−23.5205	−	6.60396i	−0.960220	−	0.269605i
$601$	14.1676	−	3.01143i	0.577910	−	0.122839i	0.0903225	−	0.995913i	$-0.471210\pi$
$601$	14.1676	−	3.01143i	0.577910	−	0.122839i	0.487588	+	0.873074i	$0.337877\pi$
$602$	0.282290	−	0.554025i	0.0115053	−	0.0225804i
$603$	−3.27436	+	0.358688i	−0.133342	+	0.0146069i
$604$		−	16.3604i		−	0.665693i
$605$	1.31209	−	24.5617i	0.0533439	−	0.998576i
$606$	−12.0612	−	15.6472i	−0.489953	−	0.635625i
$607$	−19.8423	−	16.0680i	−0.805374	−	0.652179i	0.135560	−	0.990769i	$-0.456717\pi$
$607$	−19.8423	−	16.0680i	−0.805374	−	0.652179i	−0.940934	+	0.338590i	$0.890050\pi$
$608$	−6.58200	+	4.27440i	−0.266935	+	0.173350i
$609$	17.9280	−	6.39295i	0.726479	−	0.259055i
$610$	17.7415	−	17.9567i	0.718331	−	0.727045i
$611$	37.8722	−	52.1266i	1.53214	−	2.10882i
$612$	6.45993	−	5.86809i	0.261127	−	0.237204i
$613$	−14.5718	+	28.5989i	−0.588551	+	1.15510i	0.384201	+	0.923249i	$0.374477\pi$
$613$	−14.5718	+	28.5989i	−0.588551	+	1.15510i	−0.972752	+	0.231847i	$0.925523\pi$
$614$	6.52774	+	2.90634i	0.263438	+	0.117290i
$615$	14.8085	−	24.6174i	0.597136	−	0.992671i
$616$	−10.0764	−	6.22373i	−0.405991	−	0.250761i
$617$	36.2704	−	9.71862i	1.46019	−	0.391257i	0.560635	−	0.828063i	$-0.310557\pi$
$617$	36.2704	−	9.71862i	1.46019	−	0.391257i	0.899556	+	0.436806i	$0.143890\pi$
$618$	−15.3766	−	9.37643i	−0.618537	−	0.377175i
$619$	−3.85948	−	3.47510i	−0.155126	−	0.139676i	0.587913	−	0.808924i	$-0.299950\pi$
$619$	−3.85948	−	3.47510i	−0.155126	−	0.139676i	−0.743039	+	0.669248i	$0.766616\pi$
$620$	25.5706	+	5.27427i	1.02694	+	0.211820i
$621$	−9.18205	−	8.59925i	−0.368463	−	0.345076i
$622$	18.3549	−	2.90713i	0.735964	−	0.116565i
$623$	−2.06544	+	3.18049i	−0.0827500	+	0.127424i
$624$	−0.0230085	+	0.300790i	−0.000921079	+	0.0120412i
$625$	−13.0184	−	21.3429i	−0.520737	−	0.853717i
$626$	15.0377	+	8.68201i	0.601026	+	0.347003i
$627$	0.426546	−	7.93783i	0.0170346	−	0.317007i
$628$	−0.926435	+	3.45750i	−0.0369688	+	0.137969i
$629$	1.16361	−	0.845411i	0.0463961	−	0.0337087i
$630$	−1.23121	−	7.28173i	−0.0490527	−	0.290111i
$631$	3.08265	−	9.48743i	0.122719	−	0.377689i	−0.870760	−	0.491708i	$-0.836373\pi$
$631$	3.08265	−	9.48743i	0.122719	−	0.377689i	0.993479	+	0.114020i	$0.0363726\pi$
$632$	−12.0507	+	9.75849i	−0.479352	+	0.388172i
$633$	29.0037	−	30.6982i	1.15279	−	1.22014i
$634$	2.00508	−	1.80538i	0.0796319	−	0.0717009i
$635$	−15.8911	+	13.0278i	−0.630621	+	0.516993i
$636$	5.13054	−	17.4610i	0.203439	−	0.692375i
$637$	26.6865	+	7.15064i	1.05736	+	0.283319i
$638$	−12.0252	+	21.9629i	−0.476081	+	0.869520i
$639$	−13.2300	−	13.1143i	−0.523369	−	0.518794i
$640$	−0.736594	+	15.8871i	−0.0291164	+	0.627994i
$641$	17.4980	+	15.7553i	0.691130	+	0.622296i	0.937952	−	0.346765i	$-0.112720\pi$
$641$	17.4980	+	15.7553i	0.691130	+	0.622296i	−0.246822	+	0.969061i	$0.579386\pi$
$642$	−5.03332	−	7.28920i	−0.198649	−	0.287682i
$643$	−14.8506	−	5.70061i	−0.585651	−	0.224810i	0.0474579	−	0.998873i	$-0.484888\pi$
$643$	−14.8506	−	5.70061i	−0.585651	−	0.224810i	−0.633109	+	0.774063i	$0.718221\pi$
$644$	−3.48197	+	1.55027i	−0.137209	+	0.0610893i
$645$	1.22414	−	1.81289i	0.0482003	−	0.0713825i
$646$	−1.88362	+	2.09197i	−0.0741101	+	0.0823076i
$647$	16.1058	+	2.55091i	0.633185	+	0.100287i	0.464773	−	0.885430i	$-0.346136\pi$
$647$	16.1058	+	2.55091i	0.633185	+	0.100287i	0.168412	+	0.985717i	$0.446136\pi$
$648$	−18.1092	−	17.7940i	−0.711398	−	0.699016i
$649$	2.84270	−	7.93863i	0.111586	−	0.311619i
$650$	16.3599	−	15.0916i	0.641687	−	0.591942i
$651$	4.84941	+	20.0057i	0.190063	+	0.784086i
$652$	−12.9388	+	8.40258i	−0.506724	+	0.329070i
$653$	18.4006	+	0.964336i	0.720072	+	0.0377374i	0.408852	−	0.912601i	$-0.365929\pi$
$653$	18.4006	+	0.964336i	0.720072	+	0.0377374i	0.311220	+	0.950338i	$0.399262\pi$
$654$	10.4410	+	5.63934i	0.408274	+	0.220516i
$655$	−25.4142	+	0.153221i	−0.993015	+	0.00598686i
$656$	−0.240042	−	0.0779944i	−0.00937206	−	0.00304517i
$657$	4.31489	+	13.0842i	0.168340	+	0.510462i
$658$	13.6873	+	2.16786i	0.533588	+	0.0845121i
$659$	−8.78675	−	15.2191i	−0.342283	−	0.592852i	0.642573	−	0.766224i	$-0.277867\pi$
$659$	−8.78675	−	15.2191i	−0.342283	−	0.592852i	−0.984856	+	0.173372i	$0.944534\pi$
$660$	−12.4622	−	9.99497i	−0.485090	−	0.389054i
$661$	−16.1885	+	28.0393i	−0.629661	+	1.09060i	0.357959	+	0.933737i	$0.383473\pi$
$661$	−16.1885	+	28.0393i	−0.629661	+	1.09060i	−0.987620	+	0.156867i	$0.949861\pi$
$662$	−9.74065	+	12.0287i	−0.378581	+	0.467509i
$663$	3.82394	+	20.3824i	0.148510	+	0.791586i
$664$	4.67420	+	21.9904i	0.181394	+	0.853392i
$665$	−1.03657	−	3.77730i	−0.0401966	−	0.146478i
$666$	−1.01505	−	1.24230i	−0.0393326	−	0.0481381i
$667$	9.54152	+	18.7263i	0.369449	+	0.725085i
$668$	−0.0219938	−	0.419667i	−0.000850966	−	0.0162374i
$669$	−33.6191	−	35.2718i	−1.29979	−	1.36369i
$670$	0.856687	−	1.95580i	0.0330967	−	0.0755591i
$671$	39.8325	−	16.3352i	1.53772	−	0.630613i
$672$	−11.4780	+	4.78389i	−0.442774	+	0.184543i
$673$	12.3923	+	32.2830i	0.477687	+	1.24442i	0.934852	+	0.355036i	$0.115532\pi$
$673$	12.3923	+	32.2830i	0.477687	+	1.24442i	−0.457165	+	0.889382i	$0.651135\pi$
$674$	−4.81576	−	14.8214i	−0.185496	−	0.570899i
$675$	−1.16412	−	25.9547i	−0.0448071	−	0.998996i
$676$	−13.2812	−	9.64939i	−0.510817	−	0.371130i
$677$	2.89724	−	2.34614i	0.111350	−	0.0901693i	−0.572028	−	0.820234i	$-0.693843\pi$
$677$	2.89724	−	2.34614i	0.111350	−	0.0901693i	0.683378	+	0.730064i	$0.260510\pi$
$678$	−0.576549	−	7.12577i	−0.0221422	−	0.273663i
$679$	−1.71915	+	8.08798i	−0.0659751	+	0.310388i
$680$	3.15464	+	14.4136i	0.120975	+	0.552736i
$681$	−5.21052	−	38.9176i	−0.199668	−	1.49133i
$682$	−22.2635	−	15.4169i	−0.852513	−	0.590344i
$683$	0.853511	−	0.853511i	0.0326587	−	0.0326587i	−0.690589	−	0.723248i	$-0.742649\pi$
$683$	0.853511	−	0.853511i	0.0326587	−	0.0326587i	0.723248	+	0.690589i	$0.242649\pi$
$684$	−4.02657	−	3.23149i	−0.153960	−	0.123559i
$685$	17.6818	−	46.9061i	0.675588	−	1.79219i
$686$	2.83769	+	13.3503i	0.108343	+	0.509715i
$687$	−21.2925	−	20.1172i	−0.812361	−	0.767520i
$688$	−0.0179419	−	0.00688725i	−0.000684029	−	0.000262574i
$689$	28.9368	+	32.1376i	1.10241	+	1.22435i
$690$	7.79949	−	2.38025i	0.296921	−	0.0906147i
$691$	−40.4490	−	18.0090i	−1.53875	−	0.685096i	−0.550069	−	0.835119i	$-0.685399\pi$
$691$	−40.4490	−	18.0090i	−1.53875	−	0.685096i	−0.988683	+	0.150023i	$0.952065\pi$
$692$	5.05427	+	5.05427i	0.192135	+	0.192135i
$693$	2.92966	−	12.2499i	0.111289	−	0.465334i
$694$			0.408481i			0.0155057i
$695$	7.79275	−	24.4849i	0.295596	−	0.928766i
$696$	18.3443	+	38.2435i	0.695340	+	1.44962i
$697$	−17.3269	−	0.908065i	−0.656304	−	0.0343954i
$698$	4.32460	−	11.2660i	0.163689	−	0.426423i
$699$	−7.66433	+	4.71987i	−0.289891	+	0.178522i
$700$	−7.38228	−	2.73213i	−0.279024	−	0.103265i
$701$	−5.47369	+	1.77851i	−0.206738	+	0.0671733i	−0.410555	−	0.911836i	$-0.634665\pi$
$701$	−5.47369	+	1.77851i	−0.206738	+	0.0671733i	0.203817	+	0.979009i	$0.434665\pi$
$702$	22.4557	−	5.54776i	0.847535	−	0.209387i
$703$	−0.601660	−	0.601660i	−0.0226921	−	0.0226921i
$704$	6.99664	−	14.5369i	0.263696	−	0.547879i
$705$	46.8570	+	13.4615i	1.76474	+	0.506991i
$706$	−0.770516	−	7.33097i	−0.0289988	−	0.275905i
$707$	−9.04246	−	13.9242i	−0.340077	−	0.523672i
$708$	−3.11188	−	4.50659i	−0.116951	−	0.169368i
$709$	−31.5126	−	3.31211i	−1.18348	−	0.124389i	−0.507729	−	0.861517i	$-0.669515\pi$
$709$	−31.5126	−	3.31211i	−1.18348	−	0.124389i	−0.675753	+	0.737128i	$0.736181\pi$
$710$	11.6448	−	3.19557i	0.437020	−	0.119928i
$711$	−13.8695	−	8.92067i	−0.520148	−	0.334551i
$712$	−7.52983	−	3.83664i	−0.282192	−	0.143784i
$713$	−21.2203	+	8.14571i	−0.794707	+	0.305059i
$714$	−3.53263	+	2.72302i	−0.132205	+	0.101906i
$715$	35.7513	−	12.7613i	1.33702	−	0.477245i
$716$	7.75918	+	4.47976i	0.289974	+	0.167417i
$717$	6.49468	+	11.8994i	0.242548	+	0.444390i
$718$	1.37368	−	0.0719915i	0.0512652	−	0.00268670i
$719$	−0.815962	+	2.51127i	−0.0304302	+	0.0936547i	−0.965118	−	0.261815i	$-0.915679\pi$
$719$	−0.815962	+	2.51127i	−0.0304302	+	0.0936547i	0.934688	+	0.355470i	$0.115679\pi$
$720$	−0.219852	+	0.0613711i	−0.00819340	+	0.00228717i
$721$	−12.2446	−	8.89619i	−0.456011	−	0.331311i
$722$	−12.4614	−	8.09253i	−0.463765	−	0.301173i
$723$	6.46983	−	18.3985i	0.240615	−	0.684246i
$724$	−5.41541	+	0.569182i	−0.201262	+	0.0211535i
$725$	−12.9142	+	41.4395i	−0.479622	+	1.53902i
$726$	7.83569	+	14.5997i	0.290810	+	0.541847i
$727$	−21.6008	−	5.78791i	−0.801128	−	0.214662i	−0.165049	−	0.986285i	$-0.552778\pi$
$727$	−21.6008	−	5.78791i	−0.801128	−	0.214662i	−0.636079	+	0.771624i	$0.719445\pi$
$728$	2.85936	−	18.0533i	0.105975	−	0.669100i
$729$	11.9399	−	24.2165i	0.442218	−	0.896908i
$730$	−8.74657	−	1.80410i	−0.323725	−	0.0667726i
$731$	−1.31392	−	0.138098i	−0.0485969	−	0.00510774i
$732$	6.46778	−	27.2031i	0.239056	−	1.00546i
$733$	1.37937	−	26.3200i	0.0509482	−	0.972150i	−0.846874	−	0.531793i	$-0.821518\pi$
$733$	1.37937	−	26.3200i	0.0509482	−	0.972150i	0.897823	−	0.440357i	$-0.145148\pi$
$734$	−20.2688	−	4.30827i	−0.748136	−	0.159021i
$735$	1.81148	+	20.8260i	0.0668176	+	0.768178i
$736$	−6.86539	−	11.8912i	−0.253062	−	0.438316i
$737$	2.65033	−	2.49740i	0.0976260	−	0.0919928i
$738$	0.0849505	+	19.3525i	0.00312707	+	0.712376i
$739$	−7.10866	−	9.78424i	−0.261496	−	0.359919i	0.658000	−	0.753018i	$-0.271403\pi$
$739$	−7.10866	−	9.78424i	−0.261496	−	0.359919i	−0.919496	+	0.393099i	$0.871403\pi$
$740$	−1.68725	+	0.277672i	−0.0620247	+	0.0102074i
$741$	11.5556	−	4.12061i	0.424504	−	0.151374i
$742$	−3.33324	+	8.68339i	−0.122367	+	0.318777i
$743$	−10.0889	+	26.2824i	−0.370124	+	0.964207i	0.614406	+	0.788990i	$0.289396\pi$
$743$	−10.0889	+	26.2824i	−0.370124	+	0.964207i	−0.984530	+	0.175217i	$0.943937\pi$
$744$	−43.2078	+	15.4075i	−1.58407	+	0.564866i
$745$	−14.0627	+	19.6032i	−0.515219	+	0.718204i
$746$	−0.392458	−	0.540172i	−0.0143689	−	0.0197771i
$747$	−20.6529	+	12.0451i	−0.755649	+	0.440708i
$748$	−1.79165	+	9.48055i	−0.0655091	+	0.346643i
$749$	−3.72209	−	6.44684i	−0.136002	−	0.235563i
$750$	14.9603	+	7.73412i	0.546272	+	0.282410i
$751$	21.2338	+	4.51337i	0.774831	+	0.164695i	0.578324	−	0.815807i	$-0.303707\pi$
$751$	21.2338	+	4.51337i	0.774831	+	0.164695i	0.196507	+	0.980502i	$0.437040\pi$
$752$	0.0224165	−	0.427732i	0.000817446	−	0.0155978i
$753$	−9.11274	+	38.3277i	−0.332087	+	1.39674i
$754$	−38.4321	−	4.03938i	−1.39962	−	0.147106i
$755$	−5.94223	+	28.8089i	−0.216260	+	1.04846i
$756$	−5.35361	−	6.18534i	−0.194709	−	0.224959i
$757$	3.35600	−	21.1889i	0.121976	−	0.770125i	−0.848548	−	0.529119i	$-0.822523\pi$
$757$	3.35600	−	21.1889i	0.121976	−	0.770125i	0.970524	−	0.241006i	$-0.0774774\pi$
$758$	9.41585	+	2.52297i	0.341999	+	0.0916384i
$759$	13.8296	+	1.47207i	0.501984	+	0.0534328i
$760$	8.12994	−	3.17716i	0.294904	−	0.115248i
$761$	−27.1695	+	2.85563i	−0.984895	+	0.103517i	−0.583262	−	0.812284i	$-0.698224\pi$
$761$	−27.1695	+	2.85563i	−0.984895	+	0.103517i	−0.401633	+	0.915801i	$0.631557\pi$
$762$	4.59212	−	13.0588i	0.166355	−	0.473069i
$763$	8.36355	+	5.43136i	0.302781	+	0.196628i
$764$	0.0746922	+	0.0542671i	0.00270227	+	0.00196331i
$765$	−13.5066	+	7.98682i	−0.488333	+	0.288764i
$766$	4.85120	−	14.9305i	0.175281	−	0.539459i
$767$	12.9958	−	0.681081i	0.469251	−	0.0245924i
$768$	−13.2056	−	24.1950i	−0.476518	−	0.873061i
$769$	11.4065	+	6.58557i	0.411330	+	0.237482i	0.691361	−	0.722509i	$-0.257011\pi$
$769$	11.4065	+	6.58557i	0.411330	+	0.237482i	−0.280031	+	0.959991i	$0.590345\pi$
$770$	5.93642	+	5.60520i	0.213934	+	0.201998i
$771$	−42.7331	+	32.9395i	−1.53899	+	1.18629i
$772$	−5.59819	+	2.14894i	−0.201483	+	0.0773422i
$773$	12.2825	+	6.25827i	0.441772	+	0.225094i	0.660705	−	0.750646i	$-0.270257\pi$
$773$	12.2825	+	6.25827i	0.441772	+	0.225094i	−0.218932	+	0.975740i	$0.570257\pi$
$774$	−0.0706616	+	1.47190i	−0.00253988	+	0.0529063i
$775$	−43.1116	−	18.5749i	−1.54861	−	0.667232i
$776$	−18.3253	−	1.92607i	−0.657841	−	0.0691418i
$777$	−0.766054	−	1.10939i	−0.0274820	−	0.0397992i
$778$	−7.87309	−	12.1235i	−0.282264	−	0.434648i
$779$	1.07292	+	10.2082i	0.0384415	+	0.365746i
$780$	6.80768	−	23.6962i	0.243754	−	0.848461i
$781$	20.4087	+	2.75995i	0.730280	+	0.0987589i
$782$	−3.48254	−	3.48254i	−0.124535	−	0.124535i
$783$	−32.5150	+	31.2650i	−1.16199	+	1.11732i
$784$	0.174671	−	0.0567541i	0.00623825	−	0.00202693i
$785$	2.88716	−	5.75183i	0.103047	−	0.205292i
$786$	14.5780	−	8.97747i	0.519979	−	0.320216i
$787$	−2.02047	+	5.26350i	−0.0720219	+	0.187623i	−0.964866	−	0.262742i	$-0.915373\pi$
$787$	−2.02047	+	5.26350i	−0.0720219	+	0.187623i	0.892844	+	0.450366i	$0.148706\pi$
$788$	−3.43683	−	0.180117i	−0.122432	−	0.00641639i
$789$	−6.61874	−	13.7985i	−0.235633	−	0.491238i
$790$	9.49504	−	4.91029i	0.337818	−	0.174700i
$791$		−	6.00789i		−	0.213616i
$792$	27.8310	+	3.63938i	0.988932	+	0.129320i
$793$	46.9821	+	46.9821i	1.66839	+	1.66839i
$794$	−10.1485	−	4.51841i	−0.360157	−	0.160352i
$795$	−15.3764	+	28.8837i	−0.545344	+	1.02440i
$796$	−10.0410	−	11.1517i	−0.355895	−	0.395261i
$797$	−22.1815	−	8.51467i	−0.785708	−	0.301605i	−0.0677599	−	0.997702i	$-0.521585\pi$
$797$	−22.1815	−	8.51467i	−0.785708	−	0.301605i	−0.717948	+	0.696097i	$0.754919\pi$
$798$	1.91799	+	1.81212i	0.0678961	+	0.0641483i
$799$	−6.12185	−	28.8010i	−0.216576	−	1.01891i
$800$	7.00861	−	27.4776i	0.247792	−	0.971479i
$801$	1.36696	−	8.88280i	0.0482990	−	0.313858i
$802$	−13.6133	+	13.6133i	−0.480702	+	0.480702i
$803$	−12.5221	−	8.67126i	−0.441896	−	0.306002i
$804$	−0.313860	−	2.34423i	−0.0110690	−	0.0826748i
$805$	6.69447	−	1.46519i	0.235949	−	0.0516413i
$806$	8.68937	−	40.8803i	0.306070	−	1.43995i
$807$	3.28093	+	40.5501i	0.115494	+	1.42743i
$808$	28.7529	−	23.2836i	1.01152	−	0.819115i
$809$	8.57857	+	6.23269i	0.301606	+	0.219130i	0.728287	−	0.685273i	$-0.240317\pi$
$809$	8.57857	+	6.23269i	0.301606	+	0.219130i	−0.426680	+	0.904403i	$0.640317\pi$
$810$	9.74852	+	14.5356i	0.342528	+	0.510728i
$811$	3.23985	+	9.97123i	0.113766	+	0.350137i	0.991688	−	0.128668i	$-0.0410701\pi$
$811$	3.23985	+	9.97123i	0.113766	+	0.350137i	−0.877921	+	0.478805i	$0.841070\pi$
$812$	4.89773	+	12.7590i	0.171877	+	0.447754i
$813$	48.8389	−	20.3554i	1.71286	−	0.713897i
$814$	1.72310	+	0.420099i	0.0603947	+	0.0147245i
$815$	25.8359	−	10.0966i	0.904992	−	0.353669i
$816$	0.0951146	+	0.0997903i	0.00332968	+	0.00349336i
$817$	0.0409044	+	0.780503i	0.00143106	+	0.0273063i
$818$	4.00791	+	7.86597i	0.140133	+	0.275027i
$819$	19.1857	−	3.12511i	0.670404	−	0.109200i
$820$	17.9260	+	10.2060i	0.626002	+	0.356408i
$821$	9.87549	+	46.4605i	0.344657	+	1.62148i	0.719568	+	0.694422i	$0.244340\pi$
$821$	9.87549	+	46.4605i	0.344657	+	1.62148i	−0.374911	+	0.927061i	$0.622327\pi$
$822$	6.22672	+	33.1897i	0.217182	+	1.15762i
$823$	0.272568	−	0.336593i	0.00950111	−	0.0117329i	−0.772373	−	0.635169i	$-0.780930\pi$
$823$	0.272568	−	0.336593i	0.00950111	−	0.0117329i	0.781874	+	0.623436i	$0.214264\pi$
$824$	16.8639	−	29.2090i	0.587480	−	1.01755i
$825$	18.3144	+	22.1265i	0.637625	+	0.770347i
$826$	1.39948	+	2.42397i	0.0486941	+	0.0843407i
$827$	8.68027	+	1.37482i	0.301842	+	0.0478072i	0.305519	−	0.952186i	$-0.401170\pi$
$827$	8.68027	+	1.37482i	0.301842	+	0.0478072i	−0.00367617	+	0.999993i	$0.501170\pi$
$828$	6.01462	−	6.73917i	0.209023	−	0.234202i
$829$	−18.2191	−	5.91974i	−0.632775	−	0.205601i	−0.0249712	−	0.999688i	$-0.507949\pi$
$829$	−18.2191	−	5.91974i	−0.632775	−	0.205601i	−0.607804	+	0.794087i	$0.707949\pi$
$830$	−0.0934357	−	15.4978i	−0.00324320	−	0.537936i
$831$	−30.1928	−	16.3077i	−1.04738	−	0.565707i
$832$	24.8642	+	1.30308i	0.862012	+	0.0451761i
$833$	10.5887	−	6.87638i	0.366876	−	0.238252i
$834$	4.07774	+	16.8223i	0.141201	+	0.582508i
$835$	−0.113698	+	0.746979i	−0.00393468	+	0.0258503i
$836$	5.70531	+	0.169492i	0.197322	+	0.00586200i
$837$	−29.9523	−	38.5070i	−1.03530	−	1.33100i
$838$	23.3726	+	3.70185i	0.807393	+	0.127878i
$839$	36.7471	−	40.8118i	1.26865	−	1.40898i	0.397773	−	0.917484i	$-0.369783\pi$
$839$	36.7471	−	40.8118i	1.26865	−	1.40898i	0.870879	−	0.491497i	$-0.163550\pi$
$840$	13.5775	−	2.63211i	0.468468	−	0.0908165i
$841$	42.3522	−	18.8564i	1.46042	−	0.650221i
$842$	−12.1545	−	4.66568i	−0.418872	−	0.160790i
$843$	−22.4047	−	32.4463i	−0.771660	−	1.11751i
$844$	22.5353	+	20.2909i	0.775698	+	0.698441i
$845$	19.8822	+	21.8155i	0.683969	+	0.750475i
$846$	−31.6852	+	8.63928i	−1.08936	+	0.297025i
$847$	5.57400	+	12.7604i	0.191525	+	0.438451i
$848$	0.277683	+	0.0744050i	0.00953569	+	0.00255508i
$849$	9.53666	−	32.4567i	0.327297	−	1.11391i
$850$	−0.122642	−	10.1707i	−0.00420658	−	0.348851i
$851$	1.10629	−	0.996107i	0.0379231	−	0.0341461i
$852$	9.18593	−	9.72260i	0.314705	−	0.333091i
$853$	−5.09637	+	4.12696i	−0.174496	+	0.141304i	−0.712590	−	0.701581i	$-0.752478\pi$
$853$	−5.09637	+	4.12696i	−0.174496	+	0.141304i	0.538094	+	0.842885i	$0.319145\pi$
$854$	−4.41599	+	13.5910i	−0.151112	+	0.465075i
$855$	5.91668	+	7.15281i	0.202346	+	0.244621i
$856$	13.4207	−	9.75072i	0.458711	−	0.333273i
$857$	−6.77813	+	25.2963i	−0.231537	+	0.864107i	0.748143	+	0.663538i	$0.230946\pi$
$857$	−6.77813	+	25.2963i	−0.231537	+	0.864107i	−0.979680	+	0.200569i	$0.935721\pi$
$858$	−16.1193	+	19.8519i	−0.550305	+	0.677733i
$859$	−16.0922	−	9.29083i	−0.549058	−	0.316999i	0.199684	−	0.979860i	$-0.436009\pi$
$859$	−16.0922	−	9.29083i	−0.549058	−	0.316999i	−0.748742	+	0.662861i	$0.769342\pi$
$860$	1.32241	+	0.847495i	0.0450939	+	0.0288993i
$861$	−1.24044	+	16.2162i	−0.0422739	+	0.552646i
$862$	6.91749	−	10.6520i	0.235611	−	0.362809i
$863$	−33.9207	+	5.37251i	−1.15467	+	0.182882i	−0.704263	−	0.709939i	$-0.748722\pi$
$863$	−33.9207	+	5.37251i	−1.15467	+	0.182882i	−0.450410	+	0.892822i	$0.648722\pi$
$864$	20.1445	−	21.5097i	0.685329	−	0.731776i
$865$	−7.06431	−	10.7358i	−0.240194	−	0.365029i
$866$	−6.05457	−	5.45156i	−0.205743	−	0.185251i
$867$	−17.0483	−	10.3958i	−0.578991	−	0.353060i
$868$	−14.2771	+	3.82553i	−0.484595	+	0.129847i
$869$	18.1799	−	1.36643i	0.616709	−	0.0463530i
$870$	−7.05947	−	28.3748i	−0.239339	−	0.961996i
$871$	5.13425	+	2.28592i	0.173968	+	0.0774553i
$872$	−10.0890	+	19.8008i	−0.341656	+	0.670538i
$873$	−4.15832	−	19.1496i	−0.140738	−	0.648116i
$874$	−1.71257	+	2.35714i	−0.0579284	+	0.0797316i
$875$	12.0071	+	7.49232i	0.405915	+	0.253287i
$876$	−9.31781	+	3.32264i	−0.314820	+	0.112262i
$877$	−40.0088	+	25.9820i	−1.35100	+	0.877351i	−0.998294	−	0.0583818i	$-0.981406\pi$
$877$	−40.0088	+	25.9820i	−1.35100	+	0.877351i	−0.352708	+	0.935733i	$0.614739\pi$
$878$	7.66555	+	6.20744i	0.258700	+	0.209491i
$879$	28.5126	+	36.9899i	0.961705	+	1.24764i
$880$	0.153117	−	0.200586i	0.00516156	−	0.00676174i
$881$			9.27395i			0.312447i	0.987722	+	0.156224i	$0.0499321\pi$
$881$			9.27395i			0.312447i	−0.987722	+	0.156224i	$0.950068\pi$
$882$	−8.32734	−	11.3564i	−0.280396	−	0.382391i
$883$	11.3946	−	22.3631i	0.383457	−	0.752577i	−0.615922	−	0.787807i	$-0.711216\pi$
$883$	11.3946	−	22.3631i	0.383457	−	0.752577i	0.999379	+	0.0352299i	$0.0112164\pi$
$884$	−14.5651	+	3.09590i	−0.489877	+	0.104127i
$885$	3.84287	+	9.06591i	0.129177	+	0.304747i
$886$	10.6201	−	4.72837i	0.356789	−	0.158853i
$887$	2.14303	−	40.8915i	0.0719560	−	1.37300i	−0.689265	−	0.724510i	$-0.742066\pi$
$887$	2.14303	−	40.8915i	0.0719560	−	1.37300i	0.761221	−	0.648493i	$-0.224600\pi$
$888$	2.28023	−	1.95617i	0.0765195	−	0.0656448i
$889$	4.73158	−	10.6273i	0.158692	−	0.356428i
$890$	4.54950	+	3.63892i	0.152500	+	0.121977i
$891$	5.59397	+	29.3208i	0.187405	+	0.982283i
$892$	24.7400	−	24.7400i	0.828355	−	0.828355i
$893$	−16.2620	+	6.24238i	−0.544186	+	0.208893i
$894$	1.23957	−	16.2048i	0.0414573	−	0.541970i
$895$	−12.0360	−	10.7066i	−0.402321	−	0.357883i
$896$	−3.66212	−	8.22525i	−0.122343	−	0.274786i
$897$	6.14128	+	20.5668i	0.205051	+	0.686704i
$898$	−10.0574	−	6.53137i	−0.335621	−	0.217955i
$899$	25.1857	+	77.5135i	0.839989	+	2.58522i
$900$	18.6108	−	1.28258i	0.620360	−	0.0427528i
$901$	19.7625			0.658385
$902$	−12.9648	−	17.0197i	−0.431680	−	0.566694i
$903$	−0.158945	+	1.22813i	−0.00528936	+	0.0408696i
$904$	13.3149	−	1.39945i	0.442847	−	0.0465451i
$905$	9.74272	+	0.964651i	0.323859	+	0.0320661i
$906$	−6.65557	−	18.6645i	−0.221117	−	0.620085i
$907$	−30.7299	−	37.9483i	−1.02037	−	1.26005i	−0.965183	−	0.261577i	$-0.915758\pi$
$907$	−30.7299	−	37.9483i	−1.02037	−	1.26005i	−0.0551877	−	0.998476i	$-0.517576\pi$
$908$	27.8462	−	4.41041i	0.924110	−	0.146365i
$909$	33.0926	+	21.2846i	1.09761	+	0.705966i
$910$	−4.44460	+	11.7905i	−0.147337	+	0.390853i
$911$	1.41640	−	3.18128i	0.0469273	−	0.105400i	−0.888560	−	0.458759i	$-0.848294\pi$
$911$	1.41640	−	3.18128i	0.0469273	−	0.105400i	0.935488	+	0.353359i	$0.114961\pi$
$912$	0.0495053	−	0.0648106i	0.00163928	−	0.00214609i
$913$	10.2010	−	24.3843i	0.337603	−	0.807003i
$914$	−11.1391	+	19.2935i	−0.368449	+	0.638172i
$915$	−21.2695	+	45.5529i	−0.703149	+	1.50593i
$916$	14.0739	−	15.6307i	0.465016	−	0.516453i
$917$	12.8195	−	6.53187i	0.423338	−	0.215702i
$918$	4.98251	−	9.32250i	0.164447	−	0.307688i
$919$	30.0282	−	41.3303i	0.990539	−	1.36336i	0.0595853	−	0.998223i	$-0.481022\pi$
$919$	30.0282	−	41.3303i	0.990539	−	1.36336i	0.930954	−	0.365137i	$-0.118978\pi$
$920$	4.80659	+	14.4952i	0.158469	+	0.477894i
$921$	−14.1896	−	1.08541i	−0.467562	−	0.0357656i
$922$	−18.7044	−	15.1465i	−0.615996	−	0.498824i
$923$	8.22625	+	30.7008i	0.270770	+	1.01053i
$924$	8.84369	+	1.89203i	0.290936	+	0.0622432i
$925$	3.07194	+	0.123873i	0.101005	+	0.00407290i
$926$	−14.1810	−	19.5184i	−0.466016	−	0.641416i
$927$	35.1172	+	7.30343i	1.15340	+	0.239876i
$928$	−43.8679	+	22.3518i	−1.44004	+	0.733735i
$929$	−4.11502	+	39.1518i	−0.135009	+	1.28453i	0.691818	+	0.722072i	$0.256810\pi$
$929$	−4.11502	+	39.1518i	−0.135009	+	1.28453i	−0.826827	+	0.562456i	$0.809857\pi$
$930$	31.3175	−	4.38532i	1.02694	−	0.143800i
$931$	−4.99780	−	5.55062i	−0.163796	−	0.181914i
$932$	−3.52002	−	5.42035i	−0.115302	−	0.177550i
$933$	−32.4874	+	17.7316i	−1.06359	+	0.580508i
$934$	−3.83509	+	2.21419i	−0.125488	+	0.0724506i
$935$	6.59833	−	16.0436i	0.215789	−	0.524680i
$936$	11.3950	+	41.7922i	0.372458	+	1.36602i
$937$	−1.84295	+	11.6359i	−0.0602066	+	0.380130i	0.939125	+	0.343576i	$0.111638\pi$
$937$	−1.84295	+	11.6359i	−0.0602066	+	0.380130i	−0.999332	+	0.0365541i	$0.988362\pi$
$938$	0.0632623	+	1.20712i	0.00206559	+	0.0394138i
$939$	−34.0169	−	6.22747i	−1.11010	−	0.203226i
$940$	−8.85610	+	33.8668i	−0.288854	+	1.10461i
$941$	−9.32952	−	20.9544i	−0.304134	−	0.683095i	0.695229	−	0.718788i	$-0.255303\pi$
$941$	−9.32952	−	20.9544i	−0.304134	−	0.683095i	−0.999363	+	0.0356929i	$0.988636\pi$
$942$	0.349641	+	4.32133i	0.0113919	+	0.140796i
$943$	−17.9336	+	0.939859i	−0.583998	+	0.0306060i
$944$	0.0699879	−	0.0508491i	0.00227791	−	0.00165500i
$945$	7.18061	+	12.8362i	0.233585	+	0.417563i
$946$	−0.918013	−	1.34584i	−0.0298472	−	0.0437570i
$947$	3.65732	−	13.6493i	0.118847	−	0.443543i	−0.880699	−	0.473677i	$-0.842927\pi$
$947$	3.65732	−	13.6493i	0.118847	−	0.443543i	0.999546	+	0.0301334i	$0.00959321\pi$
$948$	6.16463	−	10.1095i	0.200218	−	0.328341i
$949$	4.88735	−	22.9932i	0.158650	−	0.746390i
$950$	−5.93139	+	1.01290i	−0.192440	+	0.0328628i
$951$	−2.55367	+	4.72798i	−0.0828083	+	0.153315i
$952$	−5.25667	−	6.49145i	−0.170370	−	0.210389i
$953$	3.60186	+	7.06905i	0.116676	+	0.228989i	0.941957	−	0.335732i	$-0.108984\pi$
$953$	3.60186	+	7.06905i	0.116676	+	0.228989i	−0.825282	+	0.564721i	$0.808984\pi$
$954$	−1.25025	−	22.0073i	−0.0404782	−	0.712514i
$955$	−0.111815	−	0.122688i	−0.00361826	−	0.00397008i
$956$	−8.42979	+	4.86694i	−0.272639	+	0.157408i
$957$	7.86640	−	49.2444i	0.254285	−	1.59184i
$958$	−27.5653	+	7.38609i	−0.890594	+	0.238634i
$959$	2.96635	+	28.2230i	0.0957885	+	0.911367i
$960$	5.49901	+	18.0189i	0.177480	+	0.581557i
$961$	−55.8968	+	11.8812i	−1.80312	+	0.383265i
$962$	0.428190	+	2.70349i	0.0138054	+	0.0871639i
$963$	14.3180	+	10.3069i	0.461391	+	0.332136i
$964$	13.3183	+	4.32736i	0.428952	+	0.139375i
$965$	10.6384	−	1.75076i	0.342461	−	0.0563590i
$966$	−3.34169	+	3.18511i	−0.107517	+	0.102479i
$967$	11.1165	+	41.4872i	0.357482	+	1.33414i	0.877333	+	0.479883i	$0.159321\pi$
$967$	11.1165	+	41.4872i	0.357482	+	1.33414i	−0.519851	+	0.854257i	$0.674012\pi$
$968$	−26.9816	+	15.3256i	−0.867220	+	0.492584i
$969$	2.13411	−	5.18436i	0.0685575	−	0.166546i
$970$	12.1042	+	3.85236i	0.388641	+	0.123692i
$971$	2.77885	−	0.902903i	0.0891775	−	0.0289755i	−0.264088	−	0.964498i	$-0.585071\pi$
$971$	2.77885	−	0.902903i	0.0891775	−	0.0289755i	0.353266	+	0.935523i	$0.385071\pi$
$972$	17.5888	+	8.15371i	0.564160	+	0.261530i
$973$	2.27557	+	14.3674i	0.0729513	+	0.460596i
$974$	0.0435333	−	0.414191i	0.00139490	−	0.0132716i
$975$	−20.5943	+	39.2541i	−0.659547	+	1.25714i
$976$	0.432035	+	0.0918318i	0.0138291	+	0.00293946i
$977$	18.0521	−	22.2925i	0.577538	−	0.713201i	−0.401732	−	0.915757i	$-0.631592\pi$
$977$	18.0521	−	22.2925i	0.577538	−	0.713201i	0.979271	+	0.202557i	$0.0649250\pi$
$978$	−11.3428	+	14.8496i	−0.362704	+	0.474839i
$979$	4.71025	+	8.74848i	0.150540	+	0.279603i
$980$	−14.9182	+	1.65896i	−0.476544	+	0.0529934i
$981$	−23.3586	−	3.59460i	−0.745782	−	0.114767i
$982$	9.96943	+	5.07968i	0.318137	+	0.162099i
$983$	24.2933	−	37.4084i	0.774836	−	1.19314i	−0.202049	−	0.979375i	$-0.564760\pi$
$983$	24.2933	−	37.4084i	0.774836	−	1.19314i	0.976885	−	0.213767i	$-0.0685733\pi$
$984$	−36.2278	+	1.02823i	−1.15490	+	0.0327788i
$985$	5.98649	+	1.56545i	0.190746	+	0.0498795i
$986$	−13.1237	+	11.8166i	−0.417944	+	0.376318i
$987$	−27.1263	+	5.08917i	−0.863440	+	0.161990i
$988$	3.15686	+	8.22390i	0.100433	+	0.261637i
$989$	−1.36741			−0.0434811
$990$	−18.2834	−	6.33286i	−0.581083	−	0.201271i
$991$	11.3621			0.360928			0.180464	−	0.983582i	$-0.442240\pi$
$991$	11.3621			0.360928			0.180464	+	0.983582i	$0.442240\pi$
$992$	−19.0820	−	49.7104i	−0.605855	−	1.57831i
$993$	10.2262	−	29.0805i	0.324518	−	0.922842i
$994$	−5.08016	+	4.57419i	−0.161133	+	0.145085i
$995$	13.6308	+	23.2840i	0.432127	+	0.738152i
$996$	−9.00192	−	14.6177i	−0.285237	−	0.463179i
$997$	20.5843	−	31.6971i	0.651913	−	1.00386i	−0.345933	−	0.938259i	$-0.612438\pi$
$997$	20.5843	−	31.6971i	0.651913	−	1.00386i	0.997846	−	0.0655984i	$-0.0208956\pi$
$998$	19.9316	+	10.1556i	0.630923	+	0.321471i
$999$	2.73516	+	1.65143i	0.0865365	+	0.0522490i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	495.2.bv.a.113.44	yes	1088
5.2	odd	4	inner	495.2.bv.a.212.25	yes	1088
9.2	odd	6	inner	495.2.bv.a.443.25	yes	1088
11.4	even	5	inner	495.2.bv.a.158.25	yes	1088
45.2	even	12	inner	495.2.bv.a.47.25	✓	1088
55.37	odd	20	inner	495.2.bv.a.257.25	yes	1088
99.92	odd	30	inner	495.2.bv.a.488.25	yes	1088
495.92	even	60	inner	495.2.bv.a.92.44	yes	1088

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
495.2.bv.a.47.25	✓	1088	45.2	even	12	inner
495.2.bv.a.92.44	yes	1088	495.92	even	60	inner
495.2.bv.a.113.44	yes	1088	1.1	even	1	trivial
495.2.bv.a.158.25	yes	1088	11.4	even	5	inner
495.2.bv.a.212.25	yes	1088	5.2	odd	4	inner
495.2.bv.a.257.25	yes	1088	55.37	odd	20	inner
495.2.bv.a.443.25	yes	1088	9.2	odd	6	inner
495.2.bv.a.488.25	yes	1088	99.92	odd	30	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Level:	\( N \)	\(=\)	\( 495 = 3^{2} \cdot 5 \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	495.bv (of order \(60\), degree \(16\), minimal)

\(f(q)\)	\(=\)	\(q+(0.311664 + 0.811912i) q^{2} +(-1.12776 - 1.31459i) q^{3} +(0.924222 - 0.832173i) q^{4} +(-1.92972 + 1.12969i) q^{5} +(0.715848 - 1.32536i) q^{6} +(0.689447 - 1.06165i) q^{7} +(2.51347 + 1.28068i) q^{8} +(-0.456292 + 2.96510i) q^{9} +O(q^{10})\)	\(q+(0.311664 + 0.811912i) q^{2} +(-1.12776 - 1.31459i) q^{3} +(0.924222 - 0.832173i) q^{4} +(-1.92972 + 1.12969i) q^{5} +(0.715848 - 1.32536i) q^{6} +(0.689447 - 1.06165i) q^{7} +(2.51347 + 1.28068i) q^{8} +(-0.456292 + 2.96510i) q^{9} +(-1.51863 - 1.21468i) q^{10} +(-1.57229 - 2.92026i) q^{11} +(-2.13627 - 0.276477i) q^{12} +(3.22124 - 3.97790i) q^{13} +(1.07685 + 0.228891i) q^{14} +(3.66134 + 1.26276i) q^{15} +(0.00355674 - 0.0338401i) q^{16} +(-0.365920 - 2.31033i) q^{17} +(-2.54961 + 0.553645i) q^{18} +(-1.31607 + 0.427616i) q^{19} +(-0.843390 + 2.64994i) q^{20} +(-2.17317 + 0.290958i) q^{21} +(1.88097 - 2.18670i) q^{22} +(-0.626608 - 2.33853i) q^{23} +(-1.15104 - 4.74849i) q^{24} +(2.44761 - 4.35996i) q^{25} +(4.23366 + 1.37560i) q^{26} +(4.41248 - 2.74410i) q^{27} +(-0.246279 - 1.55494i) q^{28} +(-8.49132 + 1.80489i) q^{29} +(0.115857 + 3.36625i) q^{30} +(-0.981374 - 9.33715i) q^{31} +(5.47821 - 1.46788i) q^{32} +(-2.06577 + 5.36028i) q^{33} +(1.76174 - 1.01714i) q^{34} +(-0.131097 + 2.82755i) q^{35} +(2.04576 + 3.12012i) q^{36} +(0.279153 + 0.547868i) q^{37} +(-0.757357 - 0.935258i) q^{38} +(-8.86212 + 0.251528i) q^{39} +(-6.29706 + 0.368096i) q^{40} +(1.54220 - 7.25550i) q^{41} +(-0.913532 - 1.67375i) q^{42} +(0.146182 - 0.545560i) q^{43} +(-3.88331 - 1.39055i) q^{44} +(-2.46912 - 6.23726i) q^{45} +(1.70339 - 1.23759i) q^{46} +(12.5705 - 0.658795i) q^{47} +(-0.0484971 + 0.0334881i) q^{48} +(2.19538 + 4.93091i) q^{49} +(4.30273 + 0.628402i) q^{50} +(-2.62446 + 3.08654i) q^{51} +(-0.333162 - 6.35710i) q^{52} +(-1.32166 + 8.34465i) q^{53} +(3.60317 + 2.72731i) q^{54} +(6.33305 + 3.85907i) q^{55} +(3.09254 - 1.78548i) q^{56} +(2.04635 + 1.24784i) q^{57} +(-4.11185 - 6.33169i) q^{58} +(1.70121 + 1.88939i) q^{59} +(4.43473 - 1.87980i) q^{60} +(-1.35685 + 12.9095i) q^{61} +(7.27509 - 3.70684i) q^{62} +(2.83332 + 2.52870i) q^{63} +(2.85915 + 3.93529i) q^{64} +(-1.72229 + 11.3152i) q^{65} +(-4.99590 - 0.00661611i) q^{66} +(0.284179 + 1.06057i) q^{67} +(-2.26079 - 1.83075i) q^{68} +(-2.36755 + 3.46105i) q^{69} +(-2.33658 + 0.774807i) q^{70} +(-3.64983 + 5.02356i) q^{71} +(-4.94421 + 6.86833i) q^{72} +(4.09188 - 2.08492i) q^{73} +(-0.357819 + 0.397398i) q^{74} +(-8.49188 + 1.69941i) q^{75} +(-0.860487 + 1.49041i) q^{76} +(-4.18432 - 0.344133i) q^{77} +(-2.96622 - 7.11687i) q^{78} +(-2.23579 + 5.02166i) q^{79} +(0.0313653 + 0.0693199i) q^{80} +(-8.58359 - 2.70590i) q^{81} +(6.37148 - 1.00914i) q^{82} +(5.01541 + 6.19352i) q^{83} +(-1.76637 + 2.07737i) q^{84} +(3.31608 + 4.04490i) q^{85} +(0.488507 - 0.0513441i) q^{86} +(11.9489 + 9.12712i) q^{87} +(-0.211996 - 9.35359i) q^{88} -2.99579 q^{89} +(4.29458 - 3.94864i) q^{90} +(-2.00229 - 6.16240i) q^{91} +(-2.52519 - 1.63988i) q^{92} +(-11.1678 + 11.8202i) q^{93} +(4.45267 + 10.0009i) q^{94} +(2.05656 - 2.31192i) q^{95} +(-8.10780 - 5.54618i) q^{96} +(-6.09812 + 2.34085i) q^{97} +(-3.31925 + 3.31925i) q^{98} +(9.37627 - 3.32950i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 1088 q - 18 q^{2} - 10 q^{3} - 18 q^{5} - 24 q^{6} - 6 q^{7}+O(q^{10}) \) 1088 * q - 18 * q^2 - 10 * q^3 - 18 * q^5 - 24 * q^6 - 6 * q^7	\( 1088 q - 18 q^{2} - 10 q^{3} - 18 q^{5} - 24 q^{6} - 6 q^{7} - 64 q^{10} - 60 q^{11} + 20 q^{12} - 6 q^{13} - 4 q^{15} - 124 q^{16} - 20 q^{18} - 42 q^{20} - 72 q^{21} - 48 q^{23} - 12 q^{25} - 28 q^{27} - 8 q^{28} + 8 q^{30} - 12 q^{31} - 62 q^{33} + 88 q^{36} - 36 q^{37} - 150 q^{38} + 18 q^{40} - 36 q^{41} + 4 q^{42} - 16 q^{43} - 20 q^{45} - 48 q^{46} - 42 q^{47} - 64 q^{48} + 78 q^{50} - 64 q^{51} + 18 q^{52} - 12 q^{55} - 264 q^{56} - 84 q^{57} - 58 q^{58} - 136 q^{60} - 12 q^{61} - 4 q^{63} - 48 q^{65} - 76 q^{66} + 8 q^{67} + 30 q^{68} - 46 q^{70} - 14 q^{72} - 24 q^{73} + 28 q^{75} - 64 q^{76} - 264 q^{77} - 104 q^{78} + 44 q^{81} - 8 q^{82} + 102 q^{83} - 6 q^{85} + 180 q^{86} - 108 q^{87} + 92 q^{88} + 356 q^{90} - 120 q^{91} + 234 q^{92} - 70 q^{93} - 78 q^{95} + 100 q^{96} - 12 q^{97}+O(q^{100}) \) 1088 * q - 18 * q^2 - 10 * q^3 - 18 * q^5 - 24 * q^6 - 6 * q^7 - 64 * q^10 - 60 * q^11 + 20 * q^12 - 6 * q^13 - 4 * q^15 - 124 * q^16 - 20 * q^18 - 42 * q^20 - 72 * q^21 - 48 * q^23 - 12 * q^25 - 28 * q^27 - 8 * q^28 + 8 * q^30 - 12 * q^31 - 62 * q^33 + 88 * q^36 - 36 * q^37 - 150 * q^38 + 18 * q^40 - 36 * q^41 + 4 * q^42 - 16 * q^43 - 20 * q^45 - 48 * q^46 - 42 * q^47 - 64 * q^48 + 78 * q^50 - 64 * q^51 + 18 * q^52 - 12 * q^55 - 264 * q^56 - 84 * q^57 - 58 * q^58 - 136 * q^60 - 12 * q^61 - 4 * q^63 - 48 * q^65 - 76 * q^66 + 8 * q^67 + 30 * q^68 - 46 * q^70 - 14 * q^72 - 24 * q^73 + 28 * q^75 - 64 * q^76 - 264 * q^77 - 104 * q^78 + 44 * q^81 - 8 * q^82 + 102 * q^83 - 6 * q^85 + 180 * q^86 - 108 * q^87 + 92 * q^88 + 356 * q^90 - 120 * q^91 + 234 * q^92 - 70 * q^93 - 78 * q^95 + 100 * q^96 - 12 * q^97

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