LMFDB - Embedded newform 529.2.c.a.399.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [529,2,Mod(118,529)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(529, base_ring=CyclotomicField(22))

chi = DirichletCharacter(H, H._module([16]))

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

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

chi := DirichletCharacter("529.118");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 529 = 23^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	529.c (of order $11$, degree $10$, not 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:	$4.22408626693$
Analytic rank:	$0$
Dimension:	$10$
Coefficient field:	$\Q(\zeta_{22})$
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{10} - x^{9} + x^{8} - x^{7} + x^{6} - x^{5} + x^{4} - x^{3} + x^{2} - x + 1 $ x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
Coefficient ring:	$\Z[a_1, a_2, a_3]$
Coefficient ring index:	$ 1 $
Twist minimal:	no (minimal twist has level 23)
Sato-Tate group:	$\mathrm{SU}(2)[C_{11}]$

Embedding invariants

Embedding label			399.1
Root			$-0.415415 + 0.909632i$ of defining polynomial
Character	$\chi$	$=$	529.399
Dual form			529.2.c.a.118.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.313607 + 2.18119i) q^{2} +(-1.04408 - 2.28621i) q^{3} +(-2.74024 - 0.804606i) q^{4} +(-0.809721 - 0.934468i) q^{5} +(5.31408 - 1.56036i) q^{6} +(1.99611 + 1.28282i) q^{7} +(0.783524 - 1.71568i) q^{8} +(-2.17208 + 2.50672i) q^{9} +O(q^{10})$	\(q+(-0.313607 + 2.18119i) q^{2} +(-1.04408 - 2.28621i) q^{3} +(-2.74024 - 0.804606i) q^{4} +(-0.809721 - 0.934468i) q^{5} +(5.31408 - 1.56036i) q^{6} +(1.99611 + 1.28282i) q^{7} +(0.783524 - 1.71568i) q^{8} +(-2.17208 + 2.50672i) q^{9} +(2.29218 - 1.47310i) q^{10} +(-0.272084 - 1.89238i) q^{11} +(1.02152 + 7.10483i) q^{12} +(0.165284 - 0.106222i) q^{13} +(-3.42408 + 3.95159i) q^{14} +(-1.29098 + 2.82685i) q^{15} +(-1.30862 - 0.840996i) q^{16} +(-1.49672 + 0.439476i) q^{17} +(-4.78644 - 5.52384i) q^{18} +(-7.66103 - 2.24948i) q^{19} +(1.46695 + 3.21217i) q^{20} +(0.848710 - 5.90291i) q^{21} +4.21297 q^{22} -4.74046 q^{24} +(0.493992 - 3.43579i) q^{25} +(0.179855 + 0.393828i) q^{26} +(0.764125 + 0.224367i) q^{27} +(-4.43766 - 5.12133i) q^{28} +(-4.77570 + 1.40227i) q^{29} +(-5.76103 - 3.70239i) q^{30} +(0.740552 - 1.62158i) q^{31} +(4.71506 - 5.44146i) q^{32} +(-4.04231 + 2.59784i) q^{33} +(-0.489198 - 3.40244i) q^{34} +(-0.417537 - 2.90404i) q^{35} +(7.96894 - 5.12133i) q^{36} +(2.54297 - 2.93475i) q^{37} +(7.30909 - 16.0047i) q^{38} +(-0.415415 - 0.266971i) q^{39} +(-2.23768 + 0.657043i) q^{40} +(-0.279295 - 0.322324i) q^{41} +(12.6092 + 3.70239i) q^{42} +(-1.84991 - 4.05075i) q^{43} +(-0.777050 + 5.40450i) q^{44} +4.10123 q^{45} -2.58842 q^{47} +(-0.556399 + 3.86984i) q^{48} +(-0.569072 - 1.24609i) q^{49} +(7.33918 + 2.15498i) q^{50} +(2.56743 + 2.96297i) q^{51} +(-0.538385 + 0.158084i) q^{52} +(-8.26060 - 5.30876i) q^{53} +(-0.729022 + 1.59634i) q^{54} +(-1.54806 + 1.78656i) q^{55} +(3.76492 - 2.41956i) q^{56} +(2.85592 + 19.8634i) q^{57} +(-1.56092 - 10.8565i) q^{58} +(-6.07293 + 3.90283i) q^{59} +(5.81210 - 6.70752i) q^{60} +(-3.08639 + 6.75826i) q^{61} +(3.30473 + 2.12382i) q^{62} +(-7.55141 + 2.21729i) q^{63} +(8.35283 + 9.63968i) q^{64} +(-0.233095 - 0.0684429i) q^{65} +(-4.39867 - 9.63174i) q^{66} +(1.03413 - 7.19254i) q^{67} +4.45497 q^{68} +6.46519 q^{70} +(0.103930 - 0.722850i) q^{71} +(2.59884 + 5.69067i) q^{72} +(6.18330 + 1.81558i) q^{73} +(5.60373 + 6.46705i) q^{74} +(-8.37071 + 2.45786i) q^{75} +(19.1831 + 12.3282i) q^{76} +(1.88449 - 4.12645i) q^{77} +(0.712591 - 0.822373i) q^{78} +(4.77671 - 3.06980i) q^{79} +(0.273730 + 1.90383i) q^{80} +(1.13126 + 7.86810i) q^{81} +(0.790638 - 0.508112i) q^{82} +(-8.44098 + 9.74141i) q^{83} +(-7.07518 + 15.4925i) q^{84} +(1.62260 + 1.04278i) q^{85} +(9.41558 - 2.76466i) q^{86} +(8.19209 + 9.45418i) q^{87} +(-3.45991 - 1.01592i) q^{88} +(5.77436 + 12.6441i) q^{89} +(-1.28618 + 8.94555i) q^{90} +0.466190 q^{91} -4.48047 q^{93} +(0.811746 - 5.64582i) q^{94} +(4.10123 + 8.98044i) q^{95} +(-17.3632 - 5.09830i) q^{96} +(2.83147 + 3.26769i) q^{97} +(2.89643 - 0.850468i) q^{98} +(5.33466 + 3.42838i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 10 q - 7 q^{2} - 7 q^{3} - 3 q^{4} + 3 q^{5} + 6 q^{6} + 5 q^{7} + 4 q^{8} - 2 q^{9}+O(q^{10}) $ 10 * q - 7 * q^2 - 7 * q^3 - 3 * q^4 + 3 * q^5 + 6 * q^6 + 5 * q^7 + 4 * q^8 - 2 * q^9	\( 10 q - 7 q^{2} - 7 q^{3} - 3 q^{4} + 3 q^{5} + 6 q^{6} + 5 q^{7} + 4 q^{8} - 2 q^{9} - q^{10} - 7 q^{11} + 12 q^{12} - 3 q^{13} - 9 q^{14} - 12 q^{15} + q^{16} + 10 q^{17} - 14 q^{18} - 2 q^{19} + 9 q^{20} + 2 q^{21} + 6 q^{22} - 38 q^{24} - 4 q^{25} + 12 q^{26} - 4 q^{27} - 7 q^{28} + 14 q^{29} - 7 q^{30} + 10 q^{31} + 21 q^{32} - 16 q^{33} - 29 q^{34} + 7 q^{35} + 27 q^{36} + 19 q^{37} + 8 q^{38} + q^{39} - q^{40} + 7 q^{41} + 25 q^{42} + 11 q^{43} + 34 q^{44} + 6 q^{45} - 18 q^{47} + 18 q^{48} - 18 q^{49} + 16 q^{50} - 7 q^{51} - 20 q^{52} - 29 q^{53} - 6 q^{54} - q^{55} + 2 q^{56} + 8 q^{57} - 23 q^{58} - 21 q^{59} - 25 q^{60} - 3 q^{61} + 4 q^{62} - 34 q^{63} + 24 q^{64} - 2 q^{65} - 2 q^{66} - 45 q^{67} + 30 q^{68} + 38 q^{70} - 14 q^{71} + 19 q^{72} + 19 q^{73} - 10 q^{74} - 28 q^{75} + 16 q^{76} + 2 q^{77} - 4 q^{78} + 15 q^{79} + 52 q^{80} - 44 q^{81} + 16 q^{82} - 18 q^{83} + 17 q^{84} - 19 q^{85} + 11 q^{86} - 23 q^{87} - 27 q^{88} - 25 q^{89} + 20 q^{90} + 4 q^{91} + 4 q^{93} + 17 q^{94} + 6 q^{95} - 51 q^{96} + 34 q^{97} + 17 q^{98} + 30 q^{99}+O(q^{100}) \) 10 * q - 7 * q^2 - 7 * q^3 - 3 * q^4 + 3 * q^5 + 6 * q^6 + 5 * q^7 + 4 * q^8 - 2 * q^9 - q^10 - 7 * q^11 + 12 * q^12 - 3 * q^13 - 9 * q^14 - 12 * q^15 + q^16 + 10 * q^17 - 14 * q^18 - 2 * q^19 + 9 * q^20 + 2 * q^21 + 6 * q^22 - 38 * q^24 - 4 * q^25 + 12 * q^26 - 4 * q^27 - 7 * q^28 + 14 * q^29 - 7 * q^30 + 10 * q^31 + 21 * q^32 - 16 * q^33 - 29 * q^34 + 7 * q^35 + 27 * q^36 + 19 * q^37 + 8 * q^38 + q^39 - q^40 + 7 * q^41 + 25 * q^42 + 11 * q^43 + 34 * q^44 + 6 * q^45 - 18 * q^47 + 18 * q^48 - 18 * q^49 + 16 * q^50 - 7 * q^51 - 20 * q^52 - 29 * q^53 - 6 * q^54 - q^55 + 2 * q^56 + 8 * q^57 - 23 * q^58 - 21 * q^59 - 25 * q^60 - 3 * q^61 + 4 * q^62 - 34 * q^63 + 24 * q^64 - 2 * q^65 - 2 * q^66 - 45 * q^67 + 30 * q^68 + 38 * q^70 - 14 * q^71 + 19 * q^72 + 19 * q^73 - 10 * q^74 - 28 * q^75 + 16 * q^76 + 2 * q^77 - 4 * q^78 + 15 * q^79 + 52 * q^80 - 44 * q^81 + 16 * q^82 - 18 * q^83 + 17 * q^84 - 19 * q^85 + 11 * q^86 - 23 * q^87 - 27 * q^88 - 25 * q^89 + 20 * q^90 + 4 * q^91 + 4 * q^93 + 17 * q^94 + 6 * q^95 - 51 * q^96 + 34 * q^97 + 17 * q^98 + 30 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/529\mathbb{Z}\right)^\times$.

$n$	$5$
$\chi(n)$	$e\left(\frac{3}{11}\right)$

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 $

$2$	−0.313607	+	2.18119i	−0.221754	+	1.54233i	0.509647	+	0.860384i	$0.329776\pi$
$2$	−0.313607	+	2.18119i	−0.221754	+	1.54233i	−0.731401	+	0.681948i	$0.761133\pi$
$3$	−1.04408	−	2.28621i	−0.602799	−	1.31995i	−0.927392	−	0.374091i	$-0.877955\pi$
$3$	−1.04408	−	2.28621i	−0.602799	−	1.31995i	0.324593	−	0.945854i	$-0.394773\pi$
$4$	−2.74024	−	0.804606i	−1.37012	−	0.402303i
$5$	−0.809721	−	0.934468i	−0.362118	−	0.417907i	0.545230	−	0.838287i	$-0.316442\pi$
$5$	−0.809721	−	0.934468i	−0.362118	−	0.417907i	−0.907348	+	0.420380i	$0.861897\pi$
$6$	5.31408	−	1.56036i	2.16947	−	0.637013i
$7$	1.99611	+	1.28282i	0.754460	+	0.484862i	0.860469	−	0.509503i	$-0.170171\pi$
$7$	1.99611	+	1.28282i	0.754460	+	0.484862i	−0.106009	+	0.994365i	$0.533807\pi$
$8$	0.783524	−	1.71568i	0.277017	−	0.606584i
$9$	−2.17208	+	2.50672i	−0.724028	+	0.835573i
$10$	2.29218	−	1.47310i	0.724852	−	0.465834i
$11$	−0.272084	−	1.89238i	−0.0820363	−	0.570575i	−0.988835	−	0.149012i	$-0.952391\pi$
$11$	−0.272084	−	1.89238i	−0.0820363	−	0.570575i	0.906799	−	0.421563i	$-0.138518\pi$
$12$	1.02152	+	7.10483i	0.294888	+	2.05099i
$13$	0.165284	−	0.106222i	0.0458416	−	0.0294606i	−0.517519	−	0.855672i	$-0.673144\pi$
$13$	0.165284	−	0.106222i	0.0458416	−	0.0294606i	0.563361	+	0.826211i	$0.309508\pi$
$14$	−3.42408	+	3.95159i	−0.915123	+	1.05611i
$15$	−1.29098	+	2.82685i	−0.333330	+	0.729890i
$16$	−1.30862	−	0.840996i	−0.327154	−	0.210249i
$17$	−1.49672	+	0.439476i	−0.363008	+	0.106589i	−0.458150	−	0.888875i	$-0.651488\pi$
$17$	−1.49672	+	0.439476i	−0.363008	+	0.106589i	0.0951421	+	0.995464i	$0.469669\pi$
$18$	−4.78644	−	5.52384i	−1.12817	−	1.30198i
$19$	−7.66103	−	2.24948i	−1.75756	−	0.516066i	−0.765678	−	0.643224i	$-0.777597\pi$
$19$	−7.66103	−	2.24948i	−1.75756	−	0.516066i	−0.991883	+	0.127157i	$0.959415\pi$
$20$	1.46695	+	3.21217i	0.328020	+	0.718263i
$21$	0.848710	−	5.90291i	0.185204	−	1.28812i
$22$	4.21297			0.898208
$23$		0			0
$23$		0			0
$24$	−4.74046			−0.967643
$25$	0.493992	−	3.43579i	0.0987984	−	0.687158i
$26$	0.179855	+	0.393828i	0.0352725	+	0.0772359i
$27$	0.764125	+	0.224367i	0.147056	+	0.0431795i
$28$	−4.43766	−	5.12133i	−0.838638	−	0.967840i
$29$	−4.77570	+	1.40227i	−0.886825	+	0.260395i	−0.693256	−	0.720691i	$-0.743825\pi$
$29$	−4.77570	+	1.40227i	−0.886825	+	0.260395i	−0.193569	+	0.981087i	$0.562006\pi$
$30$	−5.76103	−	3.70239i	−1.05182	−	0.675961i
$31$	0.740552	−	1.62158i	0.133007	−	0.291245i	−0.831397	−	0.555680i	$-0.812458\pi$
$31$	0.740552	−	1.62158i	0.133007	−	0.291245i	0.964404	+	0.264435i	$0.0851854\pi$
$32$	4.71506	−	5.44146i	0.833512	−	0.961924i
$33$	−4.04231	+	2.59784i	−0.703677	+	0.452226i
$34$	−0.489198	−	3.40244i	−0.0838967	−	0.583514i
$35$	−0.417537	−	2.90404i	−0.0705767	−	0.490872i
$36$	7.96894	−	5.12133i	1.32816	−	0.853555i
$37$	2.54297	−	2.93475i	0.418062	−	0.482469i	−0.507184	−	0.861838i	$-0.669313\pi$
$37$	2.54297	−	2.93475i	0.418062	−	0.482469i	0.925246	+	0.379369i	$0.123859\pi$
$38$	7.30909	−	16.0047i	1.18569	−	2.59630i
$39$	−0.415415	−	0.266971i	−0.0665196	−	0.0427496i
$40$	−2.23768	+	0.657043i	−0.353809	+	0.103888i
$41$	−0.279295	−	0.322324i	−0.0436186	−	0.0503386i	0.733521	−	0.679667i	$-0.237876\pi$
$41$	−0.279295	−	0.322324i	−0.0436186	−	0.0503386i	−0.777140	+	0.629328i	$0.783330\pi$
$42$	12.6092	+	3.70239i	1.94564	+	0.571291i
$43$	−1.84991	−	4.05075i	−0.282109	−	0.617733i	0.714534	−	0.699601i	$-0.246639\pi$
$43$	−1.84991	−	4.05075i	−0.282109	−	0.617733i	−0.996643	+	0.0818677i	$0.973911\pi$
$44$	−0.777050	+	5.40450i	−0.117145	+	0.814759i
$45$	4.10123			0.611375
$46$		0			0
$47$	−2.58842			−0.377559			−0.188780	−	0.982019i	$-0.560453\pi$
$47$	−2.58842			−0.377559			−0.188780	+	0.982019i	$0.560453\pi$
$48$	−0.556399	+	3.86984i	−0.0803092	+	0.558563i
$49$	−0.569072	−	1.24609i	−0.0812960	−	0.178013i
$50$	7.33918	+	2.15498i	1.03792	+	0.304760i
$51$	2.56743	+	2.96297i	0.359512	+	0.414898i
$52$	−0.538385	+	0.158084i	−0.0746605	+	0.0219223i
$53$	−8.26060	−	5.30876i	−1.13468	−	0.729215i	−0.168149	−	0.985762i	$-0.553779\pi$
$53$	−8.26060	−	5.30876i	−1.13468	−	0.729215i	−0.966532	+	0.256547i	$0.917415\pi$
$54$	−0.729022	+	1.59634i	−0.0992074	+	0.217234i
$55$	−1.54806	+	1.78656i	−0.208741	+	0.240899i
$56$	3.76492	−	2.41956i	0.503108	−	0.323328i
$57$	2.85592	+	19.8634i	0.378276	+	2.63097i
$58$	−1.56092	−	10.8565i	−0.204959	−	1.42552i
$59$	−6.07293	+	3.90283i	−0.790628	+	0.508106i	−0.872545	−	0.488533i	$-0.837532\pi$
$59$	−6.07293	+	3.90283i	−0.790628	+	0.508106i	0.0819173	+	0.996639i	$0.473896\pi$
$60$	5.81210	−	6.70752i	0.750338	−	0.865936i
$61$	−3.08639	+	6.75826i	−0.395172	+	0.865306i	0.602565	+	0.798070i	$0.294145\pi$
$61$	−3.08639	+	6.75826i	−0.395172	+	0.865306i	−0.997737	+	0.0672363i	$0.978582\pi$
$62$	3.30473	+	2.12382i	0.419701	+	0.269726i
$63$	−7.55141	+	2.21729i	−0.951388	+	0.279353i
$64$	8.35283	+	9.63968i	1.04410	+	1.20496i
$65$	−0.233095	−	0.0684429i	−0.0289119	−	0.00848929i
$66$	−4.39867	−	9.63174i	−0.541439	−	1.18559i
$67$	1.03413	−	7.19254i	0.126339	−	0.878708i	−0.823800	−	0.566881i	$-0.808150\pi$
$67$	1.03413	−	7.19254i	0.126339	−	0.878708i	0.950139	−	0.311827i	$-0.100941\pi$
$68$	4.45497			0.540244
$69$		0			0
$70$	6.46519			0.772738
$71$	0.103930	−	0.722850i	0.0123342	−	0.0857866i	−0.982725	−	0.185074i	$-0.940747\pi$
$71$	0.103930	−	0.722850i	0.0123342	−	0.0857866i	0.995059	+	0.0992879i	$0.0316565\pi$
$72$	2.59884	+	5.69067i	0.306276	+	0.670652i
$73$	6.18330	+	1.81558i	0.723700	+	0.212498i	0.622780	−	0.782397i	$-0.286003\pi$
$73$	6.18330	+	1.81558i	0.723700	+	0.212498i	0.100920	+	0.994895i	$0.467821\pi$
$74$	5.60373	+	6.46705i	0.651421	+	0.751780i
$75$	−8.37071	+	2.45786i	−0.966566	+	0.283809i
$76$	19.1831	+	12.3282i	2.20045	+	1.41414i
$77$	1.88449	−	4.12645i	0.214757	−	0.470253i
$78$	0.712591	−	0.822373i	0.0806850	−	0.0931154i
$79$	4.77671	−	3.06980i	0.537422	−	0.345380i	−0.243608	−	0.969874i	$-0.578331\pi$
$79$	4.77671	−	3.06980i	0.537422	−	0.345380i	0.781030	+	0.624494i	$0.214695\pi$
$80$	0.273730	+	1.90383i	0.0306039	+	0.212855i
$81$	1.13126	+	7.86810i	0.125696	+	0.874233i
$82$	0.790638	−	0.508112i	0.0873113	−	0.0561116i
$83$	−8.44098	+	9.74141i	−0.926518	+	1.06926i	0.0709025	+	0.997483i	$0.477412\pi$
$83$	−8.44098	+	9.74141i	−0.926518	+	1.06926i	−0.997421	+	0.0717758i	$0.977133\pi$
$84$	−7.07518	+	15.4925i	−0.771966	+	1.69037i
$85$	1.62260	+	1.04278i	0.175996	+	0.113106i
$86$	9.41558	−	2.76466i	1.01531	−	0.298121i
$87$	8.19209	+	9.45418i	0.878284	+	1.01359i
$88$	−3.45991	−	1.01592i	−0.368827	−	0.108297i
$89$	5.77436	+	12.6441i	0.612081	+	1.34027i	0.921141	+	0.389228i	$0.127258\pi$
$89$	5.77436	+	12.6441i	0.612081	+	1.34027i	−0.309060	+	0.951043i	$0.600014\pi$
$90$	−1.28618	+	8.94555i	−0.135575	+	0.942944i
$91$	0.466190			0.0488700
$92$		0			0
$93$	−4.48047			−0.464603
$94$	0.811746	−	5.64582i	0.0837252	−	0.582322i
$95$	4.10123	+	8.98044i	0.420777	+	0.921374i
$96$	−17.3632	−	5.09830i	−1.77213	−	0.520343i
$97$	2.83147	+	3.26769i	0.287492	+	0.331783i	0.881064	−	0.472998i	$-0.156828\pi$
$97$	2.83147	+	3.26769i	0.287492	+	0.331783i	−0.593572	+	0.804781i	$0.702283\pi$
$98$	2.89643	−	0.850468i	0.292583	−	0.0859103i
$99$	5.33466	+	3.42838i	0.536154	+	0.344565i
$100$	−4.11811	+	9.01741i	−0.411811	+	0.901741i
$101$	1.19203	−	1.37567i	0.118611	−	0.136885i	−0.693338	−	0.720612i	$-0.743861\pi$
$101$	1.19203	−	1.37567i	0.118611	−	0.136885i	0.811950	+	0.583727i	$0.198406\pi$
$102$	−7.26795	+	4.67083i	−0.719634	+	0.462481i
$103$	−2.17930	−	15.1574i	−0.214733	−	1.49350i	−0.757067	−	0.653337i	$-0.773369\pi$
$103$	−2.17930	−	15.1574i	−0.214733	−	1.49350i	0.542335	−	0.840163i	$-0.317541\pi$
$104$	−0.0527381	−	0.366802i	−0.00517140	−	0.0359679i
$105$	−6.20330	+	3.98662i	−0.605380	+	0.389054i
$106$	14.1700	−	16.3530i	1.37631	−	1.58835i
$107$	−0.825981	+	1.80865i	−0.0798506	+	0.174848i	−0.945346	−	0.326068i	$-0.894276\pi$
$107$	−0.825981	+	1.80865i	−0.0798506	+	0.174848i	0.865496	+	0.500916i	$0.167004\pi$
$108$	−1.91336	−	1.22964i	−0.184113	−	0.118322i
$109$	14.9631	−	4.39356i	1.43320	−	0.420826i	0.529253	−	0.848464i	$-0.322472\pi$
$109$	14.9631	−	4.39356i	1.43320	−	0.420826i	0.903950	+	0.427638i	$0.140654\pi$
$110$	−3.41133	−	3.93689i	−0.325258	−	0.375367i
$111$	−9.36451	−	2.74967i	−0.888840	−	0.260987i
$112$	−1.53330	−	3.35745i	−0.144883	−	0.317249i
$113$	−0.211799	+	1.47310i	−0.0199244	+	0.138577i	−0.997356	−	0.0726771i	$-0.976846\pi$
$113$	−0.211799	+	1.47310i	−0.0199244	+	0.138577i	0.977431	+	0.211254i	$0.0677548\pi$
$114$	−44.2213			−4.14171
$115$		0			0
$116$	14.2148			1.31981
$117$	−0.0927432	+	0.645043i	−0.00857412	+	0.0596343i
$118$	−6.60829	−	14.4701i	−0.608343	−	1.33208i
$119$	−3.55139	−	1.04278i	−0.325556	−	0.0955917i
$120$	3.83845	+	4.42981i	0.350401	+	0.404385i
$121$	7.04733	−	2.06928i	0.640667	−	0.188117i
$122$	−13.7731	−	8.85143i	−1.24696	−	0.801371i
$123$	−0.445295	+	0.975060i	−0.0401509	+	0.0879182i
$124$	−3.33402	+	3.84767i	−0.299404	+	0.345531i
$125$	−8.81159	+	5.66287i	−0.788133	+	0.506502i
$126$	−2.46815	−	17.1664i	−0.219881	−	1.52930i
$127$	−0.853087	−	5.93335i	−0.0756993	−	0.526500i	−0.992023	−	0.126061i	$-0.959767\pi$
$127$	−0.853087	−	5.93335i	−0.0756993	−	0.526500i	0.916323	−	0.400439i	$-0.131142\pi$
$128$	−11.5312	+	7.41067i	−1.01923	+	0.655017i
$129$	−7.32941	+	8.45859i	−0.645319	+	0.744737i
$130$	0.222387	−	0.486959i	0.0195046	−	0.0427092i
$131$	−10.7418	−	6.90335i	−0.938517	−	0.603148i	−0.0205431	−	0.999789i	$-0.506540\pi$
$131$	−10.7418	−	6.90335i	−0.938517	−	0.603148i	−0.917974	+	0.396641i	$0.870176\pi$
$132$	13.1671	−	3.86622i	1.14605	−	0.336511i
$133$	−12.4066	−	14.3180i	−1.07579	−	1.24153i
$134$	15.3640	+	4.51126i	1.32724	+	0.389714i
$135$	−0.409064	−	0.895726i	−0.0352067	−	0.0770918i
$136$	−0.418715	+	2.91223i	−0.0359045	+	0.249721i
$137$	−0.697560			−0.0595966			−0.0297983	−	0.999556i	$-0.509486\pi$
$137$	−0.697560			−0.0595966			−0.0297983	+	0.999556i	$0.509486\pi$
$138$		0			0
$139$	13.9559			1.18372			0.591862	−	0.806039i	$-0.298393\pi$
$139$	13.9559			1.18372			0.591862	+	0.806039i	$0.298393\pi$
$140$	−1.19245	+	8.29370i	−0.100781	+	0.700946i
$141$	2.70251	+	5.91767i	0.227592	+	0.498358i
$142$	1.54408	+	0.453382i	0.129576	+	0.0380470i
$143$	−0.245983	−	0.283880i	−0.0205702	−	0.0237392i
$144$	4.95056	−	1.45362i	0.412547	−	0.121135i
$145$	5.17736	+	3.32729i	0.429957	+	0.276316i
$146$	−5.89924	+	12.9175i	−0.488225	+	1.06906i
$147$	−2.25468	+	2.60204i	−0.185963	+	0.214613i
$148$	−9.32966	+	5.99581i	−0.766893	+	0.492852i
$149$	−2.36798	−	16.4697i	−0.193993	−	1.34925i	−0.821309	−	0.570483i	$-0.806756\pi$
$149$	−2.36798	−	16.4697i	−0.193993	−	1.34925i	0.627317	−	0.778764i	$-0.284153\pi$
$150$	−2.73594	−	19.0289i	−0.223388	−	1.55370i
$151$	11.0961	−	7.13103i	0.902988	−	0.580315i	−0.00468679	−	0.999989i	$-0.501492\pi$
$151$	11.0961	−	7.13103i	0.902988	−	0.580315i	0.907675	+	0.419674i	$0.137855\pi$
$152$	−9.86198	+	11.3813i	−0.799913	+	0.923148i
$153$	2.14935	−	4.70643i	0.173765	−	0.380492i
$154$	8.40957	+	5.40450i	0.677662	+	0.435507i
$155$	−2.11496	+	0.621008i	−0.169877	+	0.0498805i
$156$	0.923529	+	1.06581i	0.0739415	+	0.0853330i
$157$	3.96143	+	1.16318i	0.316157	+	0.0928320i	0.435961	−	0.899965i	$-0.356409\pi$
$157$	3.96143	+	1.16318i	0.316157	+	0.0928320i	−0.119804	+	0.992798i	$0.538227\pi$
$158$	5.19780	+	11.3816i	0.413515	+	0.905471i
$159$	−3.51225	+	24.4282i	−0.278540	+	1.93729i
$160$	−8.90276			−0.703825
$161$		0			0
$162$	−17.5166			−1.37623
$163$	2.10474	−	14.6388i	0.164856	−	1.14660i	−0.724464	−	0.689312i	$-0.757913\pi$
$163$	2.10474	−	14.6388i	0.164856	−	1.14660i	0.889320	−	0.457285i	$-0.151178\pi$
$164$	0.505992	+	1.10797i	0.0395113	+	0.0865177i
$165$	5.70075	+	1.67389i	0.443802	+	0.130312i
$166$	−18.6007	−	21.4663i	−1.44369	−	1.66611i
$167$	−1.27588	+	0.374632i	−0.0987306	+	0.0289899i	−0.330725	−	0.943727i	$-0.607293\pi$
$167$	−1.27588	+	0.374632i	−0.0987306	+	0.0289899i	0.231994	+	0.972717i	$0.425475\pi$
$168$	−9.46250	−	6.08118i	−0.730048	−	0.469173i
$169$	−5.38436	+	11.7901i	−0.414181	+	0.906931i
$170$	−2.78336	+	3.21217i	−0.213474	+	0.246362i
$171$	22.2792	−	14.3180i	1.70373	−	1.09492i
$172$	1.80995	+	12.5885i	0.138007	+	0.959861i
$173$	2.41025	+	16.7637i	0.183248	+	1.27452i	0.849019	+	0.528362i	$0.177194\pi$
$173$	2.41025	+	16.7637i	0.183248	+	1.27452i	−0.665771	+	0.746156i	$0.731897\pi$
$174$	−23.1904	+	14.9036i	−1.75806	+	1.12984i
$175$	5.39358	−	6.22452i	0.407716	−	0.470530i
$176$	−1.23543	+	2.70522i	−0.0931244	+	0.203914i
$177$	15.2633	+	9.80914i	1.14726	+	0.737300i
$178$	−29.3900	+	8.62968i	−2.20287	+	0.646822i
$179$	0.937335	+	1.08174i	0.0700597	+	0.0808532i	0.789697	−	0.613497i	$-0.210238\pi$
$179$	0.937335	+	1.08174i	0.0700597	+	0.0808532i	−0.719638	+	0.694350i	$0.755692\pi$
$180$	−11.2383	−	3.29988i	−0.837657	−	0.245958i
$181$	6.70121	+	14.6736i	0.498097	+	1.09068i	0.977083	+	0.212858i	$0.0682771\pi$
$181$	6.70121	+	14.6736i	0.498097	+	1.09068i	−0.478986	+	0.877822i	$0.658996\pi$
$182$	−0.146201	+	1.01685i	−0.0108371	+	0.0753737i
$183$	18.6732			1.38037
$184$		0			0
$185$	−4.80153			−0.353015
$186$	1.40511	−	9.77275i	0.103028	−	0.716573i
$187$	1.23889	+	2.71279i	0.0905967	+	0.198379i
$188$	7.09288	+	2.08266i	0.517301	+	0.151893i
$189$	1.23746	+	1.42810i	0.0900118	+	0.103879i
$190$	−20.8742	+	6.12922i	−1.51437	+	0.444660i
$191$	17.4514	+	11.2153i	1.26274	+	0.811512i	0.988656	−	0.150195i	$-0.0479900\pi$
$191$	17.4514	+	11.2153i	1.26274	+	0.811512i	0.274081	+	0.961707i	$0.411626\pi$
$192$	13.3173	−	29.1609i	0.961096	−	2.10451i
$193$	−9.59519	+	11.0734i	−0.690677	+	0.797083i	−0.987461	−	0.157861i	$-0.949540\pi$
$193$	−9.59519	+	11.0734i	−0.690677	+	0.797083i	0.296785	+	0.954944i	$0.404086\pi$
$194$	−8.01540	+	5.15119i	−0.575472	+	0.369834i
$195$	0.0868945	+	0.604364i	0.00622264	+	0.0432794i
$196$	0.556778	+	3.87247i	0.0397698	+	0.276605i
$197$	9.82407	−	6.31355i	0.699936	−	0.449822i	−0.141669	−	0.989914i	$-0.545247\pi$
$197$	9.82407	−	6.31355i	0.699936	−	0.449822i	0.841606	+	0.540092i	$0.181611\pi$
$198$	−9.15092	+	10.5607i	−0.650328	+	0.750518i
$199$	2.37759	−	5.20620i	0.168543	−	0.369057i	−0.806447	−	0.591306i	$-0.798612\pi$
$199$	2.37759	−	5.20620i	0.168543	−	0.369057i	0.974990	+	0.222249i	$0.0713397\pi$
$200$	−5.50765	−	3.53955i	−0.389450	−	0.250284i
$201$	−17.5234	+	5.14533i	−1.23600	+	0.362923i
$202$	2.62677	+	3.03146i	0.184819	+	0.213293i
$203$	−11.3317	−	3.32729i	−0.795330	−	0.233530i
$204$	−4.65133	−	10.1850i	−0.325659	−	0.713093i
$205$	−0.0750502	+	0.521985i	−0.00524173	+	0.0364570i
$206$	33.7445			2.35109
$207$		0			0
$208$	−0.305626			−0.0211913
$209$	−2.17244	+	15.1097i	−0.150271	+	1.04516i
$210$	−6.75016	−	14.7808i	−0.465805	−	1.01997i
$211$	13.4979	+	3.96334i	0.929234	+	0.272848i	0.711116	−	0.703075i	$-0.248190\pi$
$211$	13.4979	+	3.96334i	0.929234	+	0.272848i	0.218118	+	0.975922i	$0.430008\pi$
$212$	18.3645	+	21.1938i	1.26128	+	1.45560i
$213$	−1.76110	+	0.517106i	−0.120669	+	0.0354315i
$214$	−3.68596	−	2.36882i	−0.251967	−	0.161929i
$215$	−2.28738	+	5.00866i	−0.155998	+	0.341588i
$216$	0.983652	−	1.13520i	0.0669291	−	0.0772403i
$217$	3.55843	−	2.28687i	0.241562	−	0.155243i
$218$	4.89064	+	34.0151i	0.331236	+	2.30379i
$219$	−2.30504	−	16.0319i	−0.155760	−	1.08334i
$220$	5.67953	−	3.65001i	0.382914	−	0.246084i
$221$	−0.200702	+	0.231623i	−0.0135007	+	0.0155806i
$222$	8.93432	−	19.5634i	0.599632	−	1.31301i
$223$	−3.53628	−	2.27263i	−0.236807	−	0.152187i	0.416856	−	0.908973i	$-0.363132\pi$
$223$	−3.53628	−	2.27263i	−0.236807	−	0.152187i	−0.653663	+	0.756786i	$0.726768\pi$
$224$	16.3922	−	4.81319i	1.09525	−	0.321595i
$225$	7.53956	+	8.70112i	0.502638	+	0.580075i
$226$	−3.14668	−	0.923948i	−0.209314	−	0.0614601i
$227$	−7.65642	−	16.7652i	−0.508174	−	1.11275i	−0.973725	−	0.227726i	$-0.926871\pi$
$227$	−7.65642	−	16.7652i	−0.508174	−	1.11275i	0.465551	−	0.885021i	$-0.345856\pi$
$228$	8.15629	−	56.7282i	0.540163	−	3.75692i
$229$	−10.9247			−0.721923			−0.360961	−	0.932581i	$-0.617551\pi$
$229$	−10.9247			−0.721923			−0.360961	+	0.932581i	$0.617551\pi$
$230$		0			0
$231$	−11.4015			−0.750163
$232$	−1.33603	+	9.29227i	−0.0877145	+	0.610068i
$233$	1.73013	+	3.78846i	0.113345	+	0.248190i	0.957800	−	0.287436i	$-0.0928029\pi$
$233$	1.73013	+	3.78846i	0.113345	+	0.248190i	−0.844455	+	0.535626i	$0.820076\pi$
$234$	−1.37787	−	0.404581i	−0.0900745	−	0.0264483i
$235$	2.09590	+	2.41879i	0.136721	+	0.157785i
$236$	19.7815	−	5.80837i	1.28767	−	0.378093i
$237$	−12.0055	−	7.71545i	−0.779839	−	0.501172i
$238$	3.38825	−	7.41922i	0.219627	−	0.480917i
$239$	14.7456	−	17.0173i	0.953813	−	1.10076i	−0.0410120	−	0.999159i	$-0.513058\pi$
$239$	14.7456	−	17.0173i	0.953813	−	1.10076i	0.994825	−	0.101601i	$-0.0323964\pi$
$240$	4.06677	−	2.61355i	0.262509	−	0.168704i
$241$	0.843804	+	5.86878i	0.0543542	+	0.378042i	0.998783	+	0.0493250i	$0.0157070\pi$
$241$	0.843804	+	5.86878i	0.0543542	+	0.378042i	−0.944429	+	0.328717i	$0.893384\pi$
$242$	2.30340	+	16.0205i	0.148068	+	1.02984i
$243$	18.8169	−	12.0929i	1.20710	−	0.775759i
$244$	13.8952	−	16.0359i	0.889548	−	1.02659i
$245$	−0.703646	+	1.54077i	−0.0449543	+	0.0984361i
$246$	−1.98714	−	1.27706i	−0.126695	−	0.0814222i
$247$	−1.50519	+	0.441964i	−0.0957730	+	0.0281215i
$248$	−2.20187	−	2.54110i	−0.139819	−	0.161360i
$249$	31.0840	+	9.12708i	1.96987	+	0.578405i
$250$	−9.58839	−	20.9956i	−0.606423	−	1.32788i
$251$	−0.220675	+	1.53483i	−0.0139289	+	0.0968775i	−0.995600	−	0.0937056i	$-0.970129\pi$
$251$	−0.220675	+	1.53483i	−0.0139289	+	0.0968775i	0.981671	+	0.190583i	$0.0610379\pi$
$252$	22.4767			1.41590
$253$		0			0
$254$	13.2093			0.828824
$255$	0.689900	−	4.79836i	0.0432032	−	0.300485i
$256$	−1.95044	−	4.27088i	−0.121903	−	0.266930i
$257$	−26.3456	−	7.73578i	−1.64340	−	0.482545i	−0.676230	−	0.736690i	$-0.736388\pi$
$257$	−26.3456	−	7.73578i	−1.64340	−	0.482545i	−0.967166	+	0.254145i	$0.918206\pi$
$258$	−16.1512	−	18.6395i	−1.00553	−	1.16044i
$259$	8.84083	−	2.59590i	0.549342	−	0.161301i
$260$	0.583666	+	0.375099i	0.0361974	+	0.0232627i
$261$	6.85812	−	15.0172i	0.424507	−	0.929540i
$262$	18.4262	−	21.2650i	1.13837	−	1.31375i
$263$	10.8864	−	6.99627i	0.671285	−	0.431408i	−0.160104	−	0.987100i	$-0.551183\pi$
$263$	10.8864	−	6.99627i	0.671285	−	0.431408i	0.831388	+	0.555692i	$0.187547\pi$
$264$	1.28980	+	8.97078i	0.0793819	+	0.552113i
$265$	1.72791	+	12.0179i	0.106145	+	0.738253i
$266$	35.1210	−	22.5709i	2.15341	−	1.38391i
$267$	22.8782	−	26.4028i	1.40012	−	1.61583i
$268$	−8.62092	+	18.8772i	−0.526607	+	1.15311i
$269$	−8.41057	−	5.40514i	−0.512801	−	0.329557i	0.258517	−	0.966007i	$-0.416766\pi$
$269$	−8.41057	−	5.40514i	−0.512801	−	0.329557i	−0.771319	+	0.636449i	$0.780402\pi$
$270$	2.08203	−	0.611339i	0.126708	−	0.0372049i
$271$	−2.88885	−	3.33391i	−0.175485	−	0.202520i	0.661193	−	0.750216i	$-0.270051\pi$
$271$	−2.88885	−	3.33391i	−0.175485	−	0.202520i	−0.836678	+	0.547696i	$0.815505\pi$
$272$	2.32823	+	0.683629i	0.141169	+	0.0414511i
$273$	−0.486739	−	1.06581i	−0.0294588	−	0.0645057i
$274$	0.218760	−	1.52151i	0.0132158	−	0.0919177i
$275$	−6.63624			−0.400180
$276$		0			0
$277$	−30.8042			−1.85085			−0.925423	−	0.378935i	$-0.876290\pi$
$277$	−30.8042			−1.85085			−0.925423	+	0.378935i	$0.876290\pi$
$278$	−4.37667	+	30.4404i	−0.262495	+	1.82570i
$279$	2.45631	+	5.37857i	0.147055	+	0.322006i
$280$	−5.30954	−	1.55902i	−0.317306	−	0.0931694i
$281$	−2.34395	−	2.70506i	−0.139828	−	0.161370i	0.681516	−	0.731803i	$-0.261321\pi$
$281$	−2.34395	−	2.70506i	−0.139828	−	0.161370i	−0.821344	+	0.570433i	$0.806775\pi$
$282$	−13.7551	+	4.03885i	−0.819102	+	0.240510i
$283$	−12.4341	−	7.99089i	−0.739129	−	0.475009i	0.116115	−	0.993236i	$-0.462956\pi$
$283$	−12.4341	−	7.99089i	−0.739129	−	0.475009i	−0.855243	+	0.518227i	$0.826592\pi$
$284$	−0.866403	+	1.89716i	−0.0514116	+	0.112576i
$285$	16.2492	−	18.7526i	0.962519	−	1.11081i
$286$	0.696337	−	0.447509i	0.0411753	−	0.0264618i
$287$	−0.144020	−	1.00168i	−0.00850125	−	0.0591275i
$288$	3.39872	+	23.6386i	0.200272	+	1.39292i
$289$	−12.2543	+	7.87535i	−0.720840	+	0.463256i
$290$	−8.88110	+	10.2493i	−0.521516	+	0.601862i
$291$	4.51435	−	9.88506i	0.264636	−	0.579472i
$292$	−15.4829	−	9.95024i	−0.906067	−	0.582294i
$293$	20.6420	−	6.06104i	1.20592	−	0.354090i	0.383806	−	0.923414i	$-0.374613\pi$
$293$	20.6420	−	6.06104i	1.20592	−	0.354090i	0.822113	+	0.569324i	$0.192795\pi$
$294$	−4.96845	−	5.73389i	−0.289766	−	0.334408i
$295$	8.56445	+	2.51475i	0.498642	+	0.146414i
$296$	−3.04260	−	6.66236i	−0.176847	−	0.387242i
$297$	0.216683	−	1.50707i	0.0125732	−	0.0874488i
$298$	36.6660			2.12401
$299$		0			0
$300$	24.9153			1.43849
$301$	1.50376	−	10.4589i	0.0866752	−	0.602839i
$302$	12.0743	+	26.4390i	0.694797	+	1.52139i
$303$	−4.38965	−	1.28892i	−0.252179	−	0.0740464i
$304$	8.13354	+	9.38660i	0.466490	+	0.538359i
$305$	8.81450	−	2.58817i	0.504717	−	0.148198i
$306$	9.59155	+	6.16411i	0.548312	+	0.352379i
$307$	5.87602	−	12.8667i	0.335362	−	0.734341i	−0.664555	−	0.747240i	$-0.731379\pi$
$307$	5.87602	−	12.8667i	0.335362	−	0.734341i	0.999917	+	0.0128989i	$0.00410596\pi$
$308$	−8.48411	+	9.79118i	−0.483427	+	0.557904i
$309$	−32.3776	+	20.8078i	−1.84190	+	1.18371i
$310$	−0.691267	−	4.80787i	−0.0392613	−	0.273069i
$311$	−0.0811393	−	0.564336i	−0.00460099	−	0.0320006i	0.987392	−	0.158297i	$-0.0506002\pi$
$311$	−0.0811393	−	0.564336i	−0.00460099	−	0.0320006i	−0.991993	+	0.126296i	$0.959691\pi$
$312$	−0.783524	+	0.503540i	−0.0443583	+	0.0285073i
$313$	−13.8390	+	15.9711i	−0.782227	+	0.902738i	−0.997268	−	0.0738672i	$-0.976466\pi$
$313$	−13.8390	+	15.9711i	−0.782227	+	0.902738i	0.215041	+	0.976605i	$0.431011\pi$
$314$	−3.77945	+	8.27584i	−0.213287	+	0.467033i
$315$	8.18653	+	5.26116i	0.461259	+	0.296433i
$316$	−15.5593	+	4.56862i	−0.875279	+	0.257005i
$317$	5.77072	+	6.65977i	0.324116	+	0.374050i	0.894301	−	0.447467i	$-0.147674\pi$
$317$	5.77072	+	6.65977i	0.324116	+	0.374050i	−0.570185	+	0.821517i	$0.693128\pi$
$318$	−52.1811	−	15.3217i	−2.92617	−	0.859201i
$319$	3.95303	+	8.65592i	0.221327	+	0.484639i
$320$	2.24451	−	15.6109i	0.125472	−	0.872676i
$321$	4.99734			0.278924
$322$		0			0
$323$	12.4550			0.693015
$324$	3.23080	−	22.4707i	0.179489	−	1.24837i
$325$	−0.283306	−	0.620354i	−0.0157150	−	0.0344111i
$326$	31.2698	+	9.18165i	1.73188	+	0.508525i
$327$	−25.6672	−	29.6216i	−1.41940	−	1.63808i
$328$	−0.771839	+	0.226632i	−0.0426177	+	0.0125137i
$329$	−5.16678	−	3.32049i	−0.284854	−	0.183064i
$330$	−5.43886	+	11.9094i	−0.299399	+	0.655593i
$331$	−19.7686	+	22.8142i	−1.08658	+	1.25398i	−0.121342	+	0.992611i	$0.538720\pi$
$331$	−19.7686	+	22.8142i	−1.08658	+	1.25398i	−0.965239	+	0.261371i	$0.915826\pi$
$332$	30.9683	−	19.9021i	1.69961	−	1.09227i
$333$	1.83303	+	12.7490i	0.100450	+	0.698642i
$334$	−0.417017	−	2.90042i	−0.0228182	−	0.158704i
$335$	−7.55856	+	4.85759i	−0.412968	+	0.265398i
$336$	−6.07496	+	7.01088i	−0.331416	+	0.382475i
$337$	2.05870	−	4.50792i	0.112145	−	0.245562i	−0.845235	−	0.534394i	$-0.820540\pi$
$337$	2.05870	−	4.50792i	0.112145	−	0.245562i	0.957380	+	0.288832i	$0.0932670\pi$
$338$	−24.0278	−	15.4418i	−1.30694	−	0.839920i
$339$	3.58895	−	1.05381i	0.194925	−	0.0572351i
$340$	−3.60728	−	4.16303i	−0.195632	−	0.225772i
$341$	−3.27015	−	0.960202i	−0.177088	−	0.0519979i
$342$	24.2433	+	53.0853i	1.31093	+	2.87053i
$343$	2.82637	−	19.6578i	0.152609	−	1.06142i
$344$	−8.39923			−0.452856
$345$		0			0
$346$	−37.3205			−2.00636
$347$	0.963038	−	6.69808i	0.0516986	−	0.359572i	−0.947508	−	0.319733i	$-0.896407\pi$
$347$	0.963038	−	6.69808i	0.0516986	−	0.359572i	0.999206	−	0.0398383i	$-0.0126843\pi$
$348$	−14.8414	−	32.4981i	−0.795582	−	1.74208i
$349$	−9.68306	−	2.84320i	−0.518322	−	0.152193i	0.0121000	−	0.999927i	$-0.496148\pi$
$349$	−9.68306	−	2.84320i	−0.518322	−	0.152193i	−0.530422	+	0.847734i	$0.677967\pi$
$350$	11.8854	+	13.7165i	0.635300	+	0.733175i
$351$	0.150131	−	0.0440823i	0.00801338	−	0.00235294i
$352$	−11.5802	−	7.44216i	−0.617228	−	0.396669i
$353$	10.1649	−	22.2580i	0.541023	−	1.18468i	−0.419827	−	0.907604i	$-0.637909\pi$
$353$	10.1649	−	22.2580i	0.541023	−	1.18468i	0.960850	−	0.277071i	$-0.0893636\pi$
$354$	−26.1822	+	30.2159i	−1.39157	+	1.60596i
$355$	−0.759635	+	0.488188i	−0.0403173	+	0.0259103i
$356$	−5.64961	−	39.2939i	−0.299429	−	2.08257i
$357$	1.32391	+	9.20798i	0.0700686	+	0.487338i
$358$	−2.65343	+	1.70526i	−0.140238	+	0.0901257i
$359$	0.274264	−	0.316518i	0.0144751	−	0.0167052i	−0.748466	−	0.663173i	$-0.769209\pi$
$359$	0.274264	−	0.316518i	0.0144751	−	0.0167052i	0.762941	+	0.646468i	$0.223755\pi$
$360$	3.21341	−	7.03639i	0.169362	−	0.370850i
$361$	37.6474	+	24.1945i	1.98144	+	1.27340i
$362$	−34.1074	+	10.0148i	−1.79265	+	0.526368i
$363$	−12.0888	−	13.9512i	−0.634497	−	0.732248i
$364$	−1.27747	−	0.375099i	−0.0669577	−	0.0196606i
$365$	−3.31015	−	7.24821i	−0.173261	−	0.379389i
$366$	−5.85606	+	40.7298i	−0.306101	+	2.12898i
$367$	−28.5682			−1.49125			−0.745624	−	0.666367i	$-0.767849\pi$
$367$	−28.5682			−1.49125			−0.745624	+	0.666367i	$0.767849\pi$
$368$		0			0
$369$	1.41463			0.0736426
$370$	1.50579	−	10.4730i	0.0782825	−	0.544466i
$371$	−9.67888	−	21.1938i	−0.502503	−	1.10033i
$372$	12.2776	+	3.60502i	0.636562	+	0.186911i
$373$	9.43508	+	10.8887i	0.488530	+	0.563794i	0.945472	−	0.325703i	$-0.105601\pi$
$373$	9.43508	+	10.8887i	0.488530	+	0.563794i	−0.456942	+	0.889496i	$0.651055\pi$
$374$	−6.30563	+	1.85150i	−0.326056	+	0.0957388i
$375$	22.1465	+	14.2327i	1.14364	+	0.734973i
$376$	−2.02809	+	4.44089i	−0.104591	+	0.229021i
$377$	−0.640396	+	0.739056i	−0.0329821	+	0.0380633i
$378$	−3.50303	+	2.25126i	−0.180176	+	0.115792i
$379$	−0.800823	−	5.56985i	−0.0411355	−	0.286104i	−0.999998	−	0.00223119i	$-0.999290\pi$
$379$	−0.800823	−	5.56985i	−0.0411355	−	0.286104i	0.958862	−	0.283873i	$-0.0916193\pi$
$380$	−4.01263	−	27.9084i	−0.205843	−	1.43167i
$381$	−12.6742	+	8.14522i	−0.649320	+	0.417292i
$382$	−29.9356	+	34.5475i	−1.53164	+	1.76760i
$383$	−0.0962350	+	0.210725i	−0.00491738	+	0.0107676i	−0.912075	−	0.410024i	$-0.865520\pi$
$383$	−0.0962350	+	0.210725i	−0.00491738	+	0.0107676i	0.907157	+	0.420792i	$0.138248\pi$
$384$	28.9819	+	18.6255i	1.47898	+	0.950480i
$385$	−5.38195	+	1.58028i	−0.274289	+	0.0805386i
$386$	−21.1441	−	24.4016i	−1.07621	−	1.24201i
$387$	14.1722	+	4.16135i	0.720416	+	0.211533i
$388$	−5.12969	−	11.2325i	−0.260421	−	0.570241i
$389$	−4.29361	+	29.8627i	−0.217695	+	1.51410i	0.528821	+	0.848733i	$0.322634\pi$
$389$	−4.29361	+	29.8627i	−0.217695	+	1.51410i	−0.746516	+	0.665367i	$0.768275\pi$
$390$	−1.34548			−0.0681311
$391$		0			0
$392$	−2.58378			−0.130500
$393$	−4.56722	+	31.7657i	−0.230386	+	1.60237i
$394$	10.6901	+	23.4081i	0.538561	+	1.17928i
$395$	−6.73644	−	1.97800i	−0.338947	−	0.0995238i
$396$	−11.8597	−	13.6869i	−0.595975	−	0.687791i
$397$	12.5168	−	3.67528i	0.628202	−	0.184457i	0.0478924	−	0.998853i	$-0.484750\pi$
$397$	12.5168	−	3.67528i	0.628202	−	0.184457i	0.580310	+	0.814396i	$0.302931\pi$
$398$	10.6101	+	6.81867i	0.531834	+	0.341789i
$399$	−19.7805	+	43.3132i	−0.990263	+	2.16837i
$400$	−3.53593	+	4.08068i	−0.176797	+	0.204034i
$401$	17.9404	−	11.5296i	0.895899	−	0.575759i	−0.00967246	−	0.999953i	$-0.503079\pi$
$401$	17.9404	−	11.5296i	0.895899	−	0.575759i	0.905571	+	0.424194i	$0.139443\pi$
$402$	−5.72746	−	39.8354i	−0.285660	−	1.98681i
$403$	−0.0498457	−	0.346685i	−0.00248299	−	0.0172696i
$404$	−4.37332	+	2.81056i	−0.217581	+	0.139831i
$405$	6.43648	−	7.42810i	0.319831	−	0.369105i
$406$	10.8111	−	23.6731i	0.536548	−	1.17488i
$407$	−6.24557	−	4.01378i	−0.309581	−	0.198956i
$408$	7.09514	−	2.08332i	0.351262	−	0.103140i
$409$	5.99134	+	6.91437i	0.296253	+	0.341894i	0.884288	−	0.466941i	$-0.154644\pi$
$409$	5.99134	+	6.91437i	0.296253	+	0.341894i	−0.588036	+	0.808835i	$0.700099\pi$
$410$	−1.11501	−	0.327397i	−0.0550665	−	0.0161690i
$411$	0.728307	+	1.59477i	0.0359247	+	0.0786642i
$412$	−6.22391	+	43.2882i	−0.306630	+	2.13266i
$413$	−17.1289			−0.842859
$414$		0			0
$415$	15.9379			0.782360
$416$	0.201323	−	1.40023i	0.00987065	−	0.0686519i
$417$	−14.5711	−	31.9062i	−0.713548	−	1.56245i
$418$	−32.2757	−	9.47700i	−1.57866	−	0.463535i
$419$	−5.87685	−	6.78225i	−0.287103	−	0.331334i	0.593817	−	0.804600i	$-0.297620\pi$
$419$	−5.87685	−	6.78225i	−0.287103	−	0.331334i	−0.880920	+	0.473266i	$0.843075\pi$
$420$	20.2062	−	5.93307i	0.985960	−	0.289504i
$421$	−26.4762	−	17.0152i	−1.29037	−	0.829270i	−0.298241	−	0.954491i	$-0.596400\pi$
$421$	−26.4762	−	17.0152i	−1.29037	−	0.829270i	−0.992129	+	0.125221i	$0.960036\pi$
$422$	−12.8778	+	28.1985i	−0.626882	+	1.37268i
$423$	5.62226	−	6.48843i	0.273364	−	0.315478i
$424$	−15.5805	+	10.0130i	−0.756656	+	0.486273i
$425$	0.770581	+	5.35951i	0.0373787	+	0.259974i
$426$	−0.575610	−	4.00346i	−0.0278884	−	0.193968i
$427$	−14.8305	+	9.53095i	−0.717696	+	0.461235i
$428$	3.71863	−	4.29153i	0.179747	−	0.207439i
$429$	−0.392184	+	0.858763i	−0.0189348	+	0.0414615i
$430$	−10.2075	−	6.55995i	−0.492249	−	0.316349i
$431$	−21.2071	+	6.22697i	−1.02151	+	0.299942i	−0.749254	−	0.662283i	$-0.769588\pi$
$431$	−21.2071	+	6.22697i	−1.02151	+	0.299942i	−0.272256	+	0.962225i	$0.587770\pi$
$432$	−0.811254	−	0.936237i	−0.0390315	−	0.0450447i
$433$	12.1810	+	3.57666i	0.585382	+	0.171884i	0.560995	−	0.827819i	$-0.310419\pi$
$433$	12.1810	+	3.57666i	0.585382	+	0.171884i	0.0243864	+	0.999703i	$0.492237\pi$
$434$	3.87213	+	8.47878i	0.185868	+	0.406994i
$435$	2.20132	−	15.3105i	0.105545	−	0.734082i
$436$	−44.5375			−2.13296
$437$		0			0
$438$	35.6915			1.70541
$439$	−2.62158	+	18.2335i	−0.125121	+	0.870238i	0.826494	+	0.562946i	$0.190332\pi$
$439$	−2.62158	+	18.2335i	−0.125121	+	0.870238i	−0.951615	+	0.307292i	$0.900577\pi$
$440$	1.85221	+	4.05578i	0.0883009	+	0.193352i
$441$	4.35968	+	1.28012i	0.207604	+	0.0609580i
$442$	−0.442270	−	0.510407i	−0.0210366	−	0.0242776i
$443$	13.3492	−	3.91968i	0.634240	−	0.186230i	0.0512201	−	0.998687i	$-0.483689\pi$
$443$	13.3492	−	3.91968i	0.634240	−	0.186230i	0.583020	+	0.812458i	$0.301871\pi$
$444$	23.4486	+	15.0695i	1.11282	+	0.715166i
$445$	7.13988	−	15.6342i	0.338463	−	0.741130i
$446$	6.06603	−	7.00057i	0.287235	−	0.331487i
$447$	−35.1808	+	22.6093i	−1.66399	+	1.06938i
$448$	4.30718	+	29.9571i	0.203495	+	1.41534i
$449$	−4.28260	−	29.7862i	−0.202109	−	1.40570i	−0.798013	−	0.602641i	$-0.794115\pi$
$449$	−4.28260	−	29.7862i	−0.202109	−	1.40570i	0.595904	−	0.803056i	$-0.296794\pi$
$450$	−21.3432	+	13.7165i	−1.00613	+	0.646600i
$451$	−0.533969	+	0.616233i	−0.0251436	+	0.0290173i
$452$	1.76564	−	3.86622i	0.0830489	−	0.181852i
$453$	−27.8883	−	17.9227i	−1.31030	−	0.842082i
$454$	38.9692	−	11.4424i	1.82891	−	0.537017i
$455$	−0.377484	−	0.435640i	−0.0176967	−	0.0204231i
$456$	36.3168	+	10.6636i	1.70069	+	0.499368i
$457$	−15.8055	−	34.6093i	−0.739351	−	1.61895i	−0.784619	−	0.619978i	$-0.787141\pi$
$457$	−15.8055	−	34.6093i	−0.739351	−	1.61895i	0.0452680	−	0.998975i	$-0.485586\pi$
$458$	3.42606	−	23.8287i	0.160089	−	1.11344i
$459$	−1.24228			−0.0579849
$460$		0			0
$461$	8.76016			0.408001			0.204001	−	0.978971i	$-0.434606\pi$
$461$	8.76016			0.408001			0.204001	+	0.978971i	$0.434606\pi$
$462$	3.57559	−	24.8688i	0.166352	−	1.15700i
$463$	−11.5638	−	25.3212i	−0.537415	−	1.17677i	−0.962416	−	0.271581i	$-0.912453\pi$
$463$	−11.5638	−	25.3212i	−0.537415	−	1.17677i	0.425001	−	0.905193i	$-0.360274\pi$
$464$	7.42886	+	2.18131i	0.344876	+	0.101265i
$465$	3.62794	+	4.18686i	0.168241	+	0.194161i
$466$	−8.80592	+	2.58565i	−0.407926	+	0.119778i
$467$	14.6095	+	9.38895i	0.676047	+	0.434469i	0.833101	−	0.553121i	$-0.186563\pi$
$467$	14.6095	+	9.38895i	0.676047	+	0.434469i	−0.157054	+	0.987590i	$0.550200\pi$
$468$	0.773144	−	1.69295i	0.0357386	−	0.0782566i
$469$	11.2910	−	13.0305i	0.521370	−	0.601693i
$470$	−5.93313	+	3.81299i	−0.273675	+	0.175880i
$471$	−1.47677	−	10.2711i	−0.0680458	−	0.473269i
$472$	1.93772	+	13.4771i	0.0891909	+	0.620336i
$473$	−7.16224	+	4.60289i	−0.329320	+	0.211641i
$474$	20.5938	−	23.7666i	0.945906	−	1.09163i
$475$	−11.5132	+	25.2105i	−0.528263	+	1.15674i
$476$	8.89263	+	5.71494i	0.407593	+	0.261944i
$477$	31.2503	−	9.17591i	1.43085	−	0.420136i
$478$	32.4936	+	37.4996i	1.48622	+	1.71519i
$479$	−24.4458	−	7.17792i	−1.11695	−	0.327968i	−0.329387	−	0.944195i	$-0.606842\pi$
$479$	−24.4458	−	7.17792i	−1.11695	−	0.327968i	−0.787568	+	0.616228i	$0.788660\pi$
$480$	9.29517	+	20.3536i	0.424265	+	0.929010i
$481$	0.108579	−	0.755186i	0.00495079	−	0.0344335i
$482$	−13.0655			−0.595119
$483$		0			0
$484$	−20.9763			−0.953469
$485$	0.760851	−	5.29183i	0.0345485	−	0.240290i
$486$	20.4757	+	44.8356i	0.928797	+	2.03378i
$487$	5.91151	+	1.73577i	0.267876	+	0.0786555i	0.412912	−	0.910771i	$-0.364512\pi$
$487$	5.91151	+	1.73577i	0.267876	+	0.0786555i	−0.145036	+	0.989426i	$0.546330\pi$
$488$	9.17673	+	10.5905i	0.415411	+	0.479410i
$489$	−35.6649	+	10.4721i	−1.61282	+	0.473567i
$490$	−3.14004	−	2.01798i	−0.141852	−	0.0911630i
$491$	−13.5623	+	29.6973i	−0.612058	+	1.34022i	0.309099	+	0.951030i	$0.399973\pi$
$491$	−13.5623	+	29.6973i	−0.612058	+	1.34022i	−0.921157	+	0.389191i	$0.872755\pi$
$492$	2.00475	−	2.31361i	0.0903812	−	0.104306i
$493$	6.53161	−	4.19761i	0.294169	−	0.189051i
$494$	−0.491967	−	3.42171i	−0.0221346	−	0.153950i
$495$	−1.11588	−	7.76111i	−0.0501550	−	0.348836i
$496$	−2.33284	+	1.49923i	−0.104748	+	0.0673172i
$497$	1.13475	−	1.30957i	0.0509004	−	0.0587421i
$498$	−29.6560	+	64.9376i	−1.32892	+	2.90992i
$499$	−7.21265	−	4.63529i	−0.322882	−	0.207504i	0.369151	−	0.929369i	$-0.379649\pi$
$499$	−7.21265	−	4.63529i	−0.322882	−	0.207504i	−0.692033	+	0.721866i	$0.743285\pi$
$500$	28.7022	−	8.42774i	1.28360	−	0.376900i
$501$	2.18861	+	2.52579i	0.0977797	+	0.112844i
$502$	−3.27854	−	0.962667i	−0.146329	−	0.0429659i
$503$	−2.80635	−	6.14505i	−0.125129	−	0.273994i	0.836692	−	0.547674i	$-0.184487\pi$
$503$	−2.80635	−	6.14505i	−0.125129	−	0.273994i	−0.961821	+	0.273679i	$0.911759\pi$
$504$	−2.11255	+	14.6931i	−0.0941003	+	0.654482i
$505$	−2.25073			−0.100156
$506$		0			0
$507$	32.5764			1.44677
$508$	−2.43635	+	16.9452i	−0.108096	+	0.751821i
$509$	17.0206	+	37.2699i	0.754425	+	1.65196i	0.758246	+	0.651968i	$0.226057\pi$
$509$	17.0206	+	37.2699i	0.754425	+	1.65196i	−0.00382066	+	0.999993i	$0.501216\pi$
$510$	10.2498	+	3.00960i	0.453867	+	0.133267i
$511$	10.0135	+	11.5562i	0.442971	+	0.511216i
$512$	−16.3767	+	4.80863i	−0.723754	+	0.212513i
$513$	−5.34928	−	3.43777i	−0.236176	−	0.151781i
$514$	25.1354	−	55.0388i	1.10867	−	2.42766i
$515$	−12.3995	+	14.3097i	−0.546385	+	0.630562i
$516$	26.8902	−	17.2813i	1.18377	−	0.760765i
$517$	0.704266	+	4.89828i	0.0309736	+	0.215426i
$518$	2.88960	+	20.0976i	0.126962	+	0.883037i
$519$	35.8088	−	23.0129i	1.57183	−	1.01016i
$520$	−0.300061	+	0.346289i	−0.0131586	+	0.0151858i
$521$	7.77941	−	17.0345i	0.340822	−	0.746297i	−0.659162	−	0.752001i	$-0.729089\pi$
$521$	7.77941	−	17.0345i	0.340822	−	0.746297i	0.999984	+	0.00570487i	$0.00181593\pi$
$522$	30.6045	+	19.6683i	1.33952	+	0.860859i
$523$	22.6095	−	6.63875i	0.988644	−	0.290292i	0.252856	−	0.967504i	$-0.418630\pi$
$523$	22.6095	−	6.63875i	0.988644	−	0.290292i	0.735788	+	0.677212i	$0.236812\pi$
$524$	23.8807	+	27.5597i	1.04323	+	1.20395i
$525$	−19.8619	−	5.83198i	−0.866844	−	0.254528i
$526$	11.8461	+	25.9394i	0.516515	+	1.13101i
$527$	−0.395751	+	2.75251i	−0.0172392	+	0.119901i
$528$	7.47461			0.325291
$529$		0			0
$530$	−26.7551			−1.16217
$531$	3.40760	−	23.7004i	0.147877	−	1.02851i
$532$	22.4767	+	49.2171i	0.974488	+	2.13383i
$533$	−0.0804009	−	0.0236078i	−0.00348255	−	0.00102257i
$534$	50.4147	+	58.1817i	2.18166	+	2.51777i
$535$	2.35894	−	0.692647i	0.101986	−	0.0299457i
$536$	−11.5298	−	7.40976i	−0.498012	−	0.320053i
$537$	1.49444	−	3.27237i	0.0644899	−	0.141213i
$538$	14.4272	−	16.6499i	0.622002	−	0.717829i
$539$	−2.20325	+	1.41595i	−0.0949009	+	0.0609891i
$540$	0.400227	+	2.78364i	0.0172230	+	0.119789i
$541$	−0.135667	−	0.943585i	−0.00583278	−	0.0405679i	0.986697	−	0.162569i	$-0.0519780\pi$
$541$	−0.135667	−	0.943585i	−0.00583278	−	0.0405679i	−0.992530	+	0.122001i	$0.961069\pi$
$542$	8.17784	−	5.25558i	0.351268	−	0.225746i
$543$	26.5504	−	30.6408i	1.13939	−	1.31492i
$544$	−4.66572	+	10.2165i	−0.200041	+	0.438029i
$545$	−16.2216	−	10.4250i	−0.694856	−	0.446557i
$546$	2.47737	−	0.727422i	0.106022	−	0.0311308i
$547$	−19.5057	−	22.5108i	−0.834003	−	0.962491i	0.165717	−	0.986173i	$-0.447006\pi$
$547$	−19.5057	−	22.5108i	−0.834003	−	0.962491i	−0.999720	+	0.0236827i	$0.992461\pi$
$548$	1.91148	+	0.561261i	0.0816544	+	0.0239759i
$549$	−10.2371	−	22.4162i	−0.436911	−	0.956701i
$550$	2.08117	−	14.4749i	0.0887415	−	0.617211i
$551$	39.7412			1.69303
$552$		0			0
$553$	13.4729			0.572925
$554$	9.66043	−	67.1897i	0.410432	−	2.85462i
$555$	5.01317	+	10.9773i	0.212797	+	0.465961i
$556$	−38.2425	−	11.2290i	−1.62184	−	0.476216i
$557$	−3.93487	−	4.54108i	−0.166726	−	0.192412i	0.666238	−	0.745739i	$-0.267903\pi$
$557$	−3.93487	−	4.54108i	−0.166726	−	0.192412i	−0.832964	+	0.553327i	$0.813358\pi$
$558$	−12.5020	+	3.67091i	−0.529251	+	0.155402i
$559$	−0.736039	−	0.473023i	−0.0311311	−	0.0200068i
$560$	−1.89589	+	4.15141i	−0.0801159	+	0.175429i
$561$	4.90852	−	5.66473i	0.207238	−	0.239165i
$562$	6.63532	−	4.26426i	0.279894	−	0.179877i
$563$	0.0126931	+	0.0882822i	0.000534949	+	0.00372065i	0.990087	−	0.140454i	$-0.0448563\pi$
$563$	0.0126931	+	0.0882822i	0.000534949	+	0.00372065i	−0.989552	+	0.144175i	$0.953947\pi$
$564$	−2.64412	−	18.3903i	−0.111338	−	0.774370i
$565$	1.54806	−	0.994879i	0.0651274	−	0.0418549i
$566$	21.3290	−	24.6150i	0.896526	−	1.03465i
$567$	−7.83526	+	17.1568i	−0.329050	+	0.720519i
$568$	−1.15875	−	0.744681i	−0.0486199	−	0.0312461i
$569$	−39.6842	+	11.6523i	−1.66365	+	0.488491i	−0.972243	−	0.233975i	$-0.924827\pi$
$569$	−39.6842	+	11.6523i	−1.66365	+	0.488491i	−0.691406	+	0.722466i	$0.743009\pi$
$570$	35.8070	+	41.3235i	1.49979	+	1.73085i
$571$	24.7458	+	7.26602i	1.03558	+	0.304073i	0.754977	−	0.655751i	$-0.227648\pi$
$571$	24.7458	+	7.26602i	1.03558	+	0.304073i	0.280602	+	0.959824i	$0.409466\pi$
$572$	0.445641	+	0.975819i	0.0186332	+	0.0408010i
$573$	7.42000	−	51.6072i	0.309975	−	2.15592i
$574$	2.23002			0.0930793
$575$		0			0
$576$	−42.3070			−1.76279
$577$	−3.86302	+	26.8679i	−0.160820	+	1.11853i	0.736273	+	0.676684i	$0.236584\pi$
$577$	−3.86302	+	26.8679i	−0.160820	+	1.11853i	−0.897093	+	0.441842i	$0.854325\pi$
$578$	−13.3346	−	29.1986i	−0.554645	−	1.21450i
$579$	35.3343	+	10.3751i	1.46845	+	0.431174i
$580$	−11.5100	−	13.2833i	−0.477929	−	0.551559i
$581$	−29.3457	+	8.61667i	−1.21746	+	0.357480i
$582$	20.1454	+	12.9467i	0.835054	+	0.536657i
$583$	−7.79865	+	17.0767i	−0.322987	+	0.707243i
$584$	7.95971	−	9.18600i	0.329375	−	0.380119i
$585$	0.677869	−	0.435640i	0.0280264	−	0.0180115i
$586$	6.74678	+	46.9249i	0.278707	+	1.93845i
$587$	−4.50210	−	31.3128i	−0.185822	−	1.29242i	−0.842685	−	0.538407i	$-0.819026\pi$
$587$	−4.50210	−	31.3128i	−0.185822	−	1.29242i	0.656863	−	0.754010i	$-0.271883\pi$
$588$	8.27197	−	5.31608i	0.341130	−	0.219231i
$589$	−9.32111	+	10.7571i	−0.384070	+	0.443240i
$590$	−8.17101	+	17.8920i	−0.336395	+	0.736603i
$591$	−24.6912	−	15.8681i	−1.01566	−	0.652726i
$592$	−5.79588	+	1.70182i	−0.238209	+	0.0699446i
$593$	16.8600	+	19.4575i	0.692358	+	0.799024i	0.987699	−	0.156368i	$-0.0499786\pi$
$593$	16.8600	+	19.4575i	0.692358	+	0.799024i	−0.295341	+	0.955392i	$0.595433\pi$
$594$	3.21924	+	0.945253i	0.132087	+	0.0387842i
$595$	1.90119	+	4.16303i	0.0779412	+	0.170667i
$596$	−6.76277	+	47.0361i	−0.277014	+	1.92667i
$597$	−14.3849			−0.588733
$598$		0			0
$599$	16.9434			0.692289			0.346144	−	0.938181i	$-0.387491\pi$
$599$	16.9434			0.692289			0.346144	+	0.938181i	$0.387491\pi$
$600$	−2.34175	+	16.2872i	−0.0956015	+	0.664923i
$601$	−4.01081	−	8.78246i	−0.163605	−	0.358244i	0.810019	−	0.586403i	$-0.199457\pi$
$601$	−4.01081	−	8.78246i	−0.163605	−	0.358244i	−0.973624	+	0.228159i	$0.926729\pi$
$602$	22.3411	+	6.55995i	0.910557	+	0.267364i
$603$	15.7834	+	18.2151i	0.642752	+	0.741775i
$604$	−36.1436	+	10.6127i	−1.47066	+	0.431826i
$605$	−7.64006	−	4.90997i	−0.310613	−	0.199619i
$606$	4.18800	−	9.17043i	0.170126	−	0.372523i
$607$	−2.12520	+	2.45261i	−0.0862592	+	0.0995484i	−0.797238	−	0.603665i	$-0.793707\pi$
$607$	−2.12520	+	2.45261i	−0.0862592	+	0.0995484i	0.710979	+	0.703213i	$0.248252\pi$
$608$	−48.3627	+	31.0808i	−1.96136	+	1.26049i
$609$	4.22430	+	29.3806i	0.171177	+	1.19056i
$610$	2.88099	+	20.0377i	0.116648	+	0.811304i
$611$	−0.427825	+	0.274946i	−0.0173079	+	0.0111231i
$612$	−9.67656	+	11.1673i	−0.391152	+	0.451413i
$613$	13.6731	−	29.9399i	0.552251	−	1.20926i	−0.403471	−	0.914992i	$-0.632197\pi$
$613$	13.6731	−	29.9399i	0.552251	−	1.20926i	0.955723	−	0.294269i	$-0.0950762\pi$
$614$	26.2219	+	16.8518i	1.05823	+	0.680083i
$615$	1.27173	−	0.373413i	0.0512810	−	0.0150575i
$616$	−5.60312	−	6.46634i	−0.225756	−	0.260536i
$617$	2.90191	+	0.852079i	0.116827	+	0.0343034i	0.339623	−	0.940562i	$-0.389700\pi$
$617$	2.90191	+	0.852079i	0.116827	+	0.0343034i	−0.222797	+	0.974865i	$0.571519\pi$
$618$	−35.2319	−	77.1470i	−1.41723	−	3.10331i
$619$	1.48326	−	10.3163i	0.0596172	−	0.414647i	−0.938057	−	0.346482i	$-0.887376\pi$
$619$	1.48326	−	10.3163i	0.0596172	−	0.414647i	0.997674	−	0.0681655i	$-0.0217146\pi$
$620$	6.29515			0.252819
$621$		0			0
$622$	1.25637			0.0503758
$623$	−4.69386	+	32.6465i	−0.188056	+	1.30796i
$624$	0.319097	+	0.698725i	0.0127741	+	0.0279714i
$625$	−4.22587	−	1.24083i	−0.169035	−	0.0496331i
$626$	−30.4958	−	35.1941i	−1.21886	−	1.40664i
$627$	36.8121	−	10.8090i	1.47013	−	0.431670i
$628$	−9.91937	−	6.37479i	−0.395826	−	0.254382i
$629$	−2.51636	+	5.51006i	−0.100334	+	0.219701i
$630$	−14.0429	+	16.2064i	−0.559484	+	0.645678i
$631$	−28.6878	+	18.4366i	−1.14205	+	0.733948i	−0.968040	−	0.250797i	$-0.919307\pi$
$631$	−28.6878	+	18.4366i	−1.14205	+	0.733948i	−0.174005	+	0.984745i	$0.555671\pi$
$632$	−1.52413	−	10.6006i	−0.0606266	−	0.421667i
$633$	−5.03182	−	34.9971i	−0.199997	−	1.39101i
$634$	−16.3359	+	10.4985i	−0.648783	+	0.416947i
$635$	−4.85377	+	5.60155i	−0.192616	+	0.222291i
$636$	29.2795	−	64.1132i	1.16101	−	2.54225i
$637$	−0.226421	−	0.145512i	−0.00897113	−	0.00576539i
$638$	−20.1199	+	5.90773i	−0.796553	+	0.233889i
$639$	1.58624	+	1.83062i	0.0627506	+	0.0724180i
$640$	16.2621	+	4.77499i	0.642817	+	0.188748i
$641$	3.74109	+	8.19184i	0.147764	+	0.323558i	0.969012	−	0.247013i	$-0.0794491\pi$
$641$	3.74109	+	8.19184i	0.147764	+	0.323558i	−0.821248	+	0.570571i	$0.806722\pi$
$642$	−1.56720	+	10.9001i	−0.0618525	+	0.430194i
$643$	22.9522			0.905146			0.452573	−	0.891727i	$-0.350506\pi$
$643$	22.9522			0.905146			0.452573	+	0.891727i	$0.350506\pi$
$644$		0			0
$645$	13.8391			0.544913
$646$	−3.90598	+	27.1667i	−0.153679	+	1.06886i
$647$	−18.6747	−	40.8919i	−0.734178	−	1.60763i	−0.792900	−	0.609352i	$-0.791430\pi$
$647$	−18.6747	−	40.8919i	−0.734178	−	1.60763i	0.0587216	−	0.998274i	$-0.481298\pi$
$648$	14.3855	+	4.22396i	0.565115	+	0.165933i
$649$	9.03801	+	10.4304i	0.354773	+	0.409430i
$650$	1.44196	−	0.423396i	0.0565581	−	0.0166070i
$651$	−8.94354	−	5.74766i	−0.350525	−	0.225269i
$652$	−17.5459	+	38.4202i	−0.687152	+	1.50465i
$653$	19.2289	−	22.1914i	0.752486	−	0.868415i	−0.242321	−	0.970196i	$-0.577909\pi$
$653$	19.2289	−	22.1914i	0.752486	−	0.868415i	0.994807	+	0.101781i	$0.0324542\pi$
$654$	72.6596	−	46.6955i	2.84121	−	1.82594i
$655$	2.24692	+	15.6277i	0.0877945	+	0.610624i
$656$	0.0944170	+	0.656685i	0.00368636	+	0.0256392i
$657$	−17.9818	+	11.5562i	−0.701536	+	0.450850i
$658$	8.86294	−	10.2284i	0.345513	−	0.398744i
$659$	16.6805	−	36.5251i	0.649778	−	1.42282i	−0.241970	−	0.970284i	$-0.577794\pi$
$659$	16.6805	−	36.5251i	0.649778	−	1.42282i	0.891748	−	0.452532i	$-0.149479\pi$
$660$	−14.2746	−	9.17371i	−0.555637	−	0.357086i
$661$	9.56288	−	2.80792i	0.371953	−	0.109215i	−0.0904132	−	0.995904i	$-0.528819\pi$
$661$	9.56288	−	2.80792i	0.371953	−	0.109215i	0.462366	+	0.886689i	$0.347001\pi$
$662$	−43.5624	−	50.2737i	−1.69310	−	1.95394i
$663$	0.739087	+	0.217015i	0.0287037	+	0.00842818i
$664$	10.0994	+	22.1146i	0.391933	+	0.858214i
$665$	−3.33381	+	23.1872i	−0.129280	+	0.899159i
$666$	−28.3829			−1.09981
$667$		0			0
$668$	3.79764			0.146935
$669$	−1.50356	+	10.4575i	−0.0581310	+	0.404310i
$670$	−8.22489	−	18.0100i	−0.317755	−	0.695787i
$671$	13.6290	+	4.00183i	0.526141	+	0.154489i
$672$	−28.1188	−	32.4508i	−1.08470	−	1.25182i
$673$	32.6772	−	9.59489i	1.25961	−	0.369856i	0.417263	−	0.908786i	$-0.362989\pi$
$673$	32.6772	−	9.59489i	1.25961	−	0.369856i	0.842351	+	0.538930i	$0.181171\pi$
$674$	9.18700	+	5.90412i	0.353870	+	0.227418i
$675$	1.14835	−	2.51454i	0.0442000	−	0.0967846i
$676$	24.2408	−	27.9754i	0.932339	−	1.07598i
$677$	21.0239	−	13.5112i	0.808012	−	0.519278i	−0.0702091	−	0.997532i	$-0.522367\pi$
$677$	21.0239	−	13.5112i	0.808012	−	0.519278i	0.878221	+	0.478254i	$0.158730\pi$
$678$	1.17304	+	8.15864i	0.0450502	+	0.313331i
$679$	1.46006	+	10.1550i	0.0560320	+	0.389711i
$680$	3.06043	−	1.96682i	0.117362	−	0.0754240i
$681$	−30.3349	+	35.0084i	−1.16244	+	1.34152i
$682$	3.11992	−	6.83168i	0.119468	−	0.261598i
$683$	29.0032	+	18.6392i	1.10978	+	0.713210i	0.961244	−	0.275698i	$-0.0889088\pi$
$683$	29.0032	+	18.6392i	1.10978	+	0.713210i	0.148532	+	0.988908i	$0.452545\pi$
$684$	−72.5707	+	21.3087i	−2.77481	+	0.814757i
$685$	0.564829	+	0.651848i	0.0215810	+	0.0249058i
$686$	41.9910	+	12.3297i	1.60322	+	0.470749i
$687$	11.4062	+	24.9761i	0.435174	+	0.952898i
$688$	−0.985836	+	6.85664i	−0.0375846	+	0.261407i
$689$	−1.92925			−0.0734987
$690$		0			0
$691$	−21.2259			−0.807470			−0.403735	−	0.914876i	$-0.632288\pi$
$691$	−21.2259			−0.807470			−0.403735	+	0.914876i	$0.632288\pi$
$692$	6.88349	−	47.8757i	0.261671	−	1.81996i
$693$	6.25059	+	13.6869i	0.237440	+	0.519921i
$694$	14.3077	+	4.20113i	0.543114	+	0.159473i
$695$	−11.3004	−	13.0414i	−0.428649	−	0.494687i
$696$	22.6390	−	6.64742i	0.858130	−	0.251970i
$697$	0.559680	+	0.359685i	0.0211994	+	0.0136240i
$698$	9.23823	−	20.2289i	0.349672	−	0.765675i
$699$	6.85483	−	7.91090i	0.259274	−	0.299218i
$700$	−19.7880	+	12.7170i	−0.747915	+	0.480656i
$701$	−3.43351	−	23.8806i	−0.129682	−	0.901957i	−0.945957	−	0.324293i	$-0.894874\pi$
$701$	−3.43351	−	23.8806i	−0.129682	−	0.901957i	0.816275	−	0.577664i	$-0.196035\pi$
$702$	0.0490697	+	0.341287i	0.00185202	+	0.0128811i
$703$	−26.0834	+	16.7628i	−0.983756	+	0.632221i
$704$	15.9693	−	18.4296i	0.601866	−	0.694590i
$705$	3.34160	−	7.31707i	0.125852	−	0.275577i
$706$	45.3611	+	29.1518i	1.70719	+	1.09714i
$707$	4.14417	−	1.21684i	0.155858	−	0.0457639i
$708$	−33.9326	−	39.1603i	−1.27527	−	1.47173i
$709$	6.75188	+	1.98253i	0.253572	+	0.0744556i	0.406048	−	0.913852i	$-0.366906\pi$
$709$	6.75188	+	1.98253i	0.253572	+	0.0744556i	−0.152476	+	0.988307i	$0.548725\pi$
$710$	−0.826602	−	1.81001i	−0.0310218	−	0.0679283i
$711$	−2.68028	+	18.6417i	−0.100518	+	0.699119i
$712$	26.2175			0.982544
$713$		0			0
$714$	−20.4995			−0.767175
$715$	−0.0660988	+	0.459728i	−0.00247196	+	0.0171928i
$716$	−1.69814	−	3.71841i	−0.0634626	−	0.138964i
$717$	−54.3008	−	15.9441i	−2.02790	−	0.595445i
$718$	0.604373	+	0.697483i	0.0225550	+	0.0260298i
$719$	−25.4920	+	7.48514i	−0.950693	+	0.279149i	−0.720075	−	0.693896i	$-0.755893\pi$
$719$	−25.4920	+	7.48514i	−0.950693	+	0.279149i	−0.230618	+	0.973044i	$0.574075\pi$
$720$	−5.36693	−	3.44912i	−0.200014	−	0.128541i
$721$	15.0941	−	33.0515i	0.562134	−	1.23090i
$722$	−64.5792	+	74.5284i	−2.40339	+	2.77366i
$723$	12.5363	−	8.05658i	0.466230	−	0.299628i
$724$	−6.55643	−	45.6010i	−0.243668	−	1.69475i
$725$	2.45875	+	17.1010i	0.0913158	+	0.635115i
$726$	34.2213	−	21.9927i	1.27007	−	0.816226i
$727$	−3.42332	+	3.95072i	−0.126964	+	0.146524i	−0.815672	−	0.578514i	$-0.803633\pi$
$727$	−3.42332	+	3.95072i	−0.126964	+	0.146524i	0.688708	+	0.725039i	$0.258178\pi$
$728$	0.365271	−	0.799832i	0.0135378	−	0.0296437i
$729$	−27.2318	−	17.5008i	−1.00859	−	0.648179i
$730$	16.8478	−	4.94696i	0.623564	−	0.183095i
$731$	4.54901	+	5.24983i	0.168251	+	0.194172i
$732$	−51.1691	−	15.0246i	−1.89126	−	0.555325i
$733$	11.0870	+	24.2771i	0.409506	+	0.896694i	0.996217	+	0.0868973i	$0.0276952\pi$
$733$	11.0870	+	24.2771i	0.409506	+	0.896694i	−0.586711	+	0.809796i	$0.699578\pi$
$734$	8.95920	−	62.3126i	0.330690	−	2.30000i
$735$	4.25719			0.157029
$736$		0			0
$737$	−13.8924			−0.511734
$738$	−0.443638	+	3.08557i	−0.0163305	+	0.113581i
$739$	−0.930342	−	2.03716i	−0.0342232	−	0.0749383i	0.891748	−	0.452532i	$-0.149479\pi$
$739$	−0.930342	−	2.03716i	−0.0342232	−	0.0749383i	−0.925972	+	0.377593i	$0.876752\pi$
$740$	13.1573	+	3.86334i	0.483673	+	0.142019i
$741$	2.58196	+	2.97974i	0.0948507	+	0.109464i
$742$	49.2630	−	14.4649i	1.80850	−	0.531024i
$743$	−15.2605	−	9.80730i	−0.559852	−	0.359795i	0.229907	−	0.973213i	$-0.426158\pi$
$743$	−15.2605	−	9.80730i	−0.559852	−	0.359795i	−0.789759	+	0.613418i	$0.789794\pi$
$744$	−3.51056	+	7.68705i	−0.128703	+	0.281821i
$745$	−13.4730	+	15.5486i	−0.493612	+	0.569658i
$746$	−26.7091	+	17.1649i	−0.977890	+	0.628452i
$747$	−6.08446	−	42.3183i	−0.222619	−	1.54835i
$748$	−1.21212	−	8.43051i	−0.0443197	−	0.308250i
$749$	−3.96893	+	2.55068i	−0.145022	+	0.0931997i
$750$	−37.9895	+	43.8422i	−1.38718	+	1.60089i
$751$	−11.7258	+	25.6759i	−0.427880	+	0.936927i	0.565786	+	0.824552i	$0.308573\pi$
$751$	−11.7258	+	25.6759i	−0.427880	+	0.936927i	−0.993666	+	0.112375i	$0.964154\pi$
$752$	3.38724	+	2.17685i	0.123520	+	0.0793815i
$753$	3.73935	−	1.09797i	0.136269	−	0.0400123i
$754$	−1.41119	−	1.62860i	−0.0513924	−	0.0593100i
$755$	−15.6485	−	4.59481i	−0.569507	−	0.167222i
$756$	−2.24187	−	4.90900i	−0.0815359	−	0.178539i
$757$	0.0173643	−	0.120772i	0.000631118	−	0.00438952i	−0.989503	−	0.144509i	$-0.953840\pi$
$757$	0.0173643	−	0.120772i	0.000631118	−	0.00438952i	0.990135	+	0.140120i	$0.0447487\pi$
$758$	12.4000			0.450389
$759$		0			0
$760$	18.6210			0.675453
$761$	3.80057	−	26.4336i	0.137771	−	0.958216i	−0.797257	−	0.603640i	$-0.793716\pi$
$761$	3.80057	−	26.4336i	0.137771	−	0.958216i	0.935027	−	0.354576i	$-0.115375\pi$
$762$	−13.7915	−	30.1992i	−0.499614	−	1.09400i
$763$	35.5042	+	10.4250i	1.28534	+	0.377409i
$764$	−38.7970	−	44.7741i	−1.40363	−	1.61987i
$765$	−6.13839	+	1.80239i	−0.221934	+	0.0651657i
$766$	−0.429451	−	0.275992i	−0.0155167	−	0.00997198i
$767$	−0.589194	+	1.29015i	−0.0212745	+	0.0465848i
$768$	−7.72771	+	8.91825i	−0.278850	+	0.321810i
$769$	6.60471	−	4.24459i	0.238172	−	0.153064i	−0.416111	−	0.909314i	$-0.636607\pi$
$769$	6.60471	−	4.24459i	0.238172	−	0.153064i	0.654283	+	0.756250i	$0.272971\pi$
$770$	−1.75907	−	12.2346i	−0.0633926	−	0.440905i
$771$	9.82128	+	68.3085i	0.353705	+	2.46007i
$772$	35.2028	−	22.6235i	1.26698	−	0.814237i
$773$	−22.4497	+	25.9084i	−0.807460	+	0.931859i	−0.998766	−	0.0496716i	$-0.984183\pi$
$773$	−22.4497	+	25.9084i	−0.807460	+	0.931859i	0.191305	+	0.981531i	$0.438728\pi$
$774$	−13.5212	+	29.6073i	−0.486009	+	1.06421i
$775$	−5.20559	−	3.34543i	−0.186990	−	0.120171i
$776$	7.82482	−	2.29757i	0.280895	−	0.0824781i
$777$	−15.1653	−	17.5017i	−0.544052	−	0.627869i
$778$	−63.7897	−	18.7303i	−2.28697	−	0.671515i
$779$	1.41463	+	3.09760i	0.0506843	+	0.110983i
$780$	0.248164	−	1.72602i	0.00888569	−	0.0618013i
$781$	−1.39619			−0.0499596
$782$		0			0
$783$	−3.96386			−0.141657
$784$	−0.303264	+	2.10925i	−0.0108308	+	0.0753302i
$785$	−2.12070	−	4.64369i	−0.0756911	−	0.165740i
$786$	−67.8546	−	19.9239i	−2.42029	−	0.710662i
$787$	10.4860	+	12.1015i	0.373785	+	0.431370i	0.911211	−	0.411940i	$-0.135149\pi$
$787$	10.4860	+	12.1015i	0.373785	+	0.431370i	−0.537426	+	0.843311i	$0.680603\pi$
$788$	−32.0002	+	9.39611i	−1.13996	+	0.334723i
$789$	−27.3612	−	17.5840i	−0.974085	−	0.626006i
$790$	6.42697	−	14.0731i	0.228661	−	0.500699i
$791$	−2.31250	+	2.66877i	−0.0822231	+	0.0948905i
$792$	10.0618	−	6.46634i	0.357531	−	0.229772i
$793$	0.207742	+	1.44488i	0.00737712	+	0.0513090i
$794$	4.09109	+	28.4542i	0.145187	+	1.00980i
$795$	25.6714	−	16.4980i	0.910469	−	0.585123i
$796$	−10.7041	+	12.3532i	−0.379397	+	0.437847i
$797$	−8.94128	+	19.5787i	−0.316716	+	0.693512i	−0.999304	−	0.0372914i	$-0.988127\pi$
$797$	−8.94128	+	19.5787i	−0.316716	+	0.693512i	0.682588	+	0.730803i	$0.260854\pi$
$798$	−88.2709	−	56.7282i	−3.12475	−	2.00816i
$799$	3.87413	−	1.13755i	0.137057	−	0.0402435i
$800$	−16.3665	−	18.8880i	−0.578644	−	0.667791i
$801$	−44.2376	−	12.9893i	−1.56306	−	0.458955i
$802$	19.5219	+	42.7470i	0.689343	+	1.50945i
$803$	1.75340	−	12.1952i	0.0618761	−	0.430358i
$804$	52.1582			1.83948
$805$		0			0
$806$	0.771816			0.0271860
$807$	−3.57601	+	24.8717i	−0.125882	+	0.875526i
$808$	−1.42623	−	3.12301i	−0.0501746	−	0.109867i
$809$	−23.1479	−	6.79683i	−0.813836	−	0.238964i	−0.151776	−	0.988415i	$-0.548499\pi$
$809$	−23.1479	−	6.79683i	−0.813836	−	0.238964i	−0.662060	+	0.749451i	$0.730318\pi$
$810$	14.1835	+	16.3687i	0.498359	+	0.575136i
$811$	−13.7575	+	4.03956i	−0.483091	+	0.141848i	−0.514205	−	0.857668i	$-0.671913\pi$
$811$	−13.7575	+	4.03956i	−0.483091	+	0.141848i	0.0311137	+	0.999516i	$0.490095\pi$
$812$	28.3744	+	18.2351i	0.995747	+	0.639927i
$813$	−4.60584	+	10.0854i	−0.161534	+	0.353710i
$814$	10.7135	−	12.3640i	0.375507	−	0.433358i
$815$	−15.3837	+	9.88652i	−0.538868	+	0.346310i
$816$	−0.867929	−	6.03658i	−0.0303836	−	0.211323i
$817$	5.06017	+	35.1942i	0.177033	+	1.23129i
$818$	−16.9605	+	10.8998i	−0.593008	+	0.381103i
$819$	−1.01260	+	1.16861i	−0.0353832	+	0.0408344i
$820$	0.625648	−	1.36998i	0.0218486	−	0.0478417i
$821$	11.9529	+	7.68167i	0.417160	+	0.268092i	0.732339	−	0.680940i	$-0.238428\pi$
$821$	11.9529	+	7.68167i	0.417160	+	0.268092i	−0.315180	+	0.949032i	$0.602065\pi$
$822$	−3.70689	+	1.08844i	−0.129293	+	0.0379638i
$823$	−10.4929	−	12.1095i	−0.365760	−	0.422109i	0.542802	−	0.839861i	$-0.317364\pi$
$823$	−10.4929	−	12.1095i	−0.365760	−	0.422109i	−0.908561	+	0.417752i	$0.862818\pi$
$824$	−27.7127	−	8.13718i	−0.965417	−	0.283472i
$825$	6.92875	+	15.1719i	0.241228	+	0.528216i
$826$	5.37175	−	37.3613i	0.186907	−	1.29997i
$827$	−35.1240			−1.22138			−0.610690	−	0.791870i	$-0.709108\pi$
$827$	−35.1240			−1.22138			−0.610690	+	0.791870i	$0.709108\pi$
$828$		0			0
$829$	−2.29604			−0.0797447			−0.0398723	−	0.999205i	$-0.512695\pi$
$829$	−2.29604			−0.0797447			−0.0398723	+	0.999205i	$0.512695\pi$
$830$	−4.99824	+	34.7635i	−0.173491	+	1.20666i
$831$	32.1620	+	70.4250i	1.11569	+	2.44302i
$832$	2.40453	+	0.706035i	0.0833622	+	0.0244774i
$833$	1.39937	+	1.61496i	0.0484853	+	0.0559550i
$834$	74.1629	−	21.7762i	2.56805	−	0.754048i
$835$	1.38319	+	0.888922i	0.0478672	+	0.0307624i
$836$	18.1103	−	39.6561i	0.626359	−	1.37153i
$837$	0.929704	−	1.07294i	0.0321353	−	0.0370861i
$838$	16.6364	−	10.6915i	0.574694	−	0.369333i
$839$	5.49501	+	38.2187i	0.189709	+	1.31945i	0.832761	+	0.553632i	$0.186759\pi$
$839$	5.49501	+	38.2187i	0.189709	+	1.31945i	−0.643052	+	0.765822i	$0.722332\pi$
$840$	1.97932	+	13.7665i	0.0682930	+	0.474989i
$841$	−3.55542	+	2.28493i	−0.122601	+	0.0787906i
$842$	45.4164	−	52.4134i	1.56515	−	1.80628i
$843$	−3.73708	+	8.18306i	−0.128712	+	0.281839i
$844$	−33.7985	−	21.7210i	−1.16339	−	0.747667i
$845$	15.3773	−	4.51519i	0.528996	−	0.155327i
$846$	12.3893	+	14.2980i	0.425953	+	0.491576i
$847$	16.7218	+	4.90997i	0.574568	+	0.168708i
$848$	6.34530	+	13.8943i	0.217898	+	0.477131i
$849$	−5.28673	+	36.7700i	−0.181440	+	1.26194i
$850$	−11.9317			−0.409255
$851$		0			0
$852$	5.24190			0.179584
$853$	5.46907	−	38.0382i	0.187257	−	1.30240i	−0.651812	−	0.758380i	$-0.725991\pi$
$853$	5.46907	−	38.0382i	0.187257	−	1.30240i	0.839070	−	0.544024i	$-0.183100\pi$
$854$	−16.1378	−	35.3369i	−0.552226	−	1.20921i
$855$	−31.4197	−	9.22564i	−1.07453	−	0.315510i
$856$	2.45588	+	2.83423i	0.0839402	+	0.0968721i
$857$	48.8281	−	14.3372i	1.66794	−	0.489750i	0.694650	−	0.719348i	$-0.255559\pi$
$857$	48.8281	−	14.3372i	1.66794	−	0.489750i	0.973286	+	0.229598i	$0.0737411\pi$
$858$	−1.75013	−	1.12474i	−0.0597485	−	0.0383980i
$859$	3.79985	−	8.32050i	0.129649	−	0.283892i	−0.833664	−	0.552272i	$-0.813761\pi$
$859$	3.79985	−	8.32050i	0.129649	−	0.283892i	0.963313	+	0.268380i	$0.0864883\pi$
$860$	10.2980	−	11.8845i	0.351158	−	0.405257i
$861$	−2.13969	+	1.37510i	−0.0729205	+	0.0468631i
$862$	−6.93147	−	48.2094i	−0.236087	−	1.64202i
$863$	−1.75600	−	12.2133i	−0.0597750	−	0.415744i	−0.997635	−	0.0687310i	$-0.978105\pi$
$863$	−1.75600	−	12.2133i	−0.0597750	−	0.415744i	0.937860	−	0.347013i	$-0.112804\pi$
$864$	4.82378	−	3.10006i	0.164108	−	0.105466i
$865$	13.7135	−	15.8262i	0.466272	−	0.538107i
$866$	−11.6214	+	25.4474i	−0.394912	+	0.864737i
$867$	30.7991	+	19.7934i	1.04599	+	0.672219i
$868$	−11.5910	+	3.40342i	−0.393423	+	0.115519i
$869$	−7.10891	−	8.20412i	−0.241153	−	0.278306i
$870$	32.7047	+	9.60297i	1.10879	+	0.325571i
$871$	−0.593078	−	1.29866i	−0.0200957	−	0.0440034i
$872$	4.18600	−	29.1143i	0.141756	−	0.985934i
$873$	−14.3414			−0.485381
$874$		0			0
$875$	−24.8534			−0.840199
$876$	−6.58303	+	45.7860i	−0.222420	+	1.54696i
$877$	0.958445	+	2.09870i	0.0323644	+	0.0708681i	0.925124	−	0.379666i	$-0.123961\pi$
$877$	0.958445	+	2.09870i	0.0323644	+	0.0708681i	−0.892759	+	0.450534i	$0.851234\pi$
$878$	−38.9485	−	11.4363i	−1.31445	−	0.385957i
$879$	−35.4087	−	40.8638i	−1.19431	−	1.37830i
$880$	3.52831	−	1.03600i	0.118939	−	0.0349237i
$881$	29.9489	+	19.2470i	1.00901	+	0.648448i	0.937135	−	0.348966i	$-0.113467\pi$
$881$	29.9489	+	19.2470i	1.00901	+	0.648448i	0.0718697	+	0.997414i	$0.477103\pi$
$882$	−4.15940	+	9.10782i	−0.140054	+	0.306676i
$883$	−19.9566	+	23.0311i	−0.671592	+	0.775059i	−0.984625	−	0.174684i	$-0.944110\pi$
$883$	−19.9566	+	23.0311i	−0.671592	+	0.775059i	0.313032	+	0.949742i	$0.398655\pi$
$884$	0.736336	−	0.473214i	0.0247657	−	0.0159159i
$885$	−3.19271	−	22.2058i	−0.107322	−	0.746438i
$886$	4.36315	+	30.3464i	0.146583	+	1.01951i
$887$	17.4906	−	11.2405i	0.587278	−	0.377421i	−0.212998	−	0.977053i	$-0.568323\pi$
$887$	17.4906	−	11.2405i	0.587278	−	0.377421i	0.800276	+	0.599632i	$0.204686\pi$
$888$	−12.0549	+	13.9121i	−0.404535	+	0.466858i
$889$	5.90859	−	12.9380i	0.198168	−	0.433927i
$890$	31.8619	+	20.4764i	1.06801	+	0.686370i
$891$	14.5817	−	4.28156i	0.488504	−	0.143438i
$892$	7.86168	+	9.07286i	0.263228	+	0.303782i
$893$	19.8299	+	5.82260i	0.663584	+	0.194846i
$894$	−38.2822	−	83.8263i	−1.28035	−	2.80357i
$895$	0.251874	−	1.75182i	0.00841920	−	0.0585569i
$896$	−32.5243			−1.08656
$897$		0			0
$898$	66.3122			2.21287
$899$	−1.26275	+	8.78264i	−0.0421152	+	0.292918i
$900$	−13.6592	−	29.9095i	−0.455307	−	0.996984i
$901$	14.6969	+	4.31539i	0.489624	+	0.143766i
$902$	−1.17666	−	1.35794i	−0.0391786	−	0.0452145i
$903$	−25.4812	+	7.48196i	−0.847962	+	0.248984i
$904$	2.36141	+	1.51759i	0.0785393	+	0.0504742i
$905$	8.28590	−	18.1436i	0.275433	−	0.603114i
$906$	47.8387	−	55.2088i	1.58933	−	1.83419i
$907$	19.1064	−	12.2789i	0.634417	−	0.407715i	−0.183525	−	0.983015i	$-0.558751\pi$
$907$	19.1064	−	12.2789i	0.634417	−	0.407715i	0.817943	+	0.575300i	$0.195115\pi$
$908$	7.49100	+	52.1011i	0.248598	+	1.72903i
$909$	0.859242	+	5.97616i	0.0284992	+	0.198217i
$910$	1.06859	−	0.686743i	0.0354235	−	0.0227653i
$911$	0.546182	−	0.630328i	0.0180958	−	0.0208837i	−0.746630	−	0.665240i	$-0.768329\pi$
$911$	0.546182	−	0.630328i	0.0180958	−	0.0208837i	0.764725	+	0.644356i	$0.222875\pi$
$912$	12.9677	−	28.3953i	0.429404	−	0.940264i
$913$	20.7312	+	13.3231i	0.686101	+	0.440930i
$914$	80.4460	−	23.6211i	2.66092	−	0.781315i
$915$	−15.1201	−	17.4496i	−0.499856	−	0.576864i
$916$	29.9362	+	8.79006i	0.989120	+	0.290432i
$917$	−12.5861	−	27.5597i	−0.415630	−	0.910103i
$918$	0.389589	−	2.70965i	0.0128584	−	0.0894319i
$919$	45.3320			1.49537			0.747683	−	0.664056i	$-0.231166\pi$
$919$	45.3320			1.49537			0.747683	+	0.664056i	$0.231166\pi$
$920$		0			0
$921$	−35.5510			−1.17145
$922$	−2.74725	+	19.1075i	−0.0904758	+	0.629273i
$923$	−0.0596044	−	0.130515i	−0.00196190	−	0.00429597i
$924$	31.2428	+	9.17371i	1.02781	+	0.301793i
$925$	−8.82696	−	10.1869i	−0.290229	−	0.334942i
$926$	58.8566	−	17.2819i	1.93415	−	0.567918i
$927$	42.7289	+	27.4602i	1.40340	+	0.901910i
$928$	−14.8873	+	32.5986i	−0.488699	+	1.07010i
$929$	11.5958	−	13.3822i	0.380445	−	0.439056i	−0.532941	−	0.846153i	$-0.678913\pi$
$929$	11.5958	−	13.3822i	0.380445	−	0.439056i	0.913385	+	0.407096i	$0.133459\pi$
$930$	−10.2701	+	6.60017i	−0.336769	+	0.216428i
$931$	1.55661	+	10.8265i	0.0510159	+	0.354824i
$932$	−1.69275	−	11.7734i	−0.0554480	−	0.385649i
$933$	−1.20548	+	0.774713i	−0.0394655	+	0.0253630i
$934$	−25.0607	+	28.9216i	−0.820011	+	0.946343i
$935$	1.53186	−	3.35431i	0.0500972	−	0.109698i
$936$	1.03402	+	0.664524i	0.0337980	+	0.0217207i
$937$	−22.3812	+	6.57170i	−0.731161	+	0.214688i	−0.626062	−	0.779774i	$-0.715334\pi$
$937$	−22.3812	+	6.57170i	−0.731161	+	0.214688i	−0.105099	+	0.994462i	$0.533516\pi$
$938$	24.8810	+	28.7143i	0.812395	+	0.937554i
$939$	50.9622	+	14.9639i	1.66309	+	0.488327i
$940$	−3.79708	−	8.31444i	−0.123847	−	0.271187i
$941$	1.65295	−	11.4965i	0.0538847	−	0.374776i	−0.944980	−	0.327130i	$-0.893919\pi$
$941$	1.65295	−	11.4965i	0.0538847	−	0.374776i	0.998864	−	0.0476470i	$-0.0151722\pi$
$942$	22.8664			0.745027
$943$		0			0
$944$	11.2294			0.365486
$945$	0.332520	−	2.31273i	0.0108169	−	0.0752331i
$946$	−7.79363	−	17.0657i	−0.253393	−	0.554853i
$947$	−5.75498	−	1.68981i	−0.187012	−	0.0549116i	0.186886	−	0.982382i	$-0.440161\pi$
$947$	−5.75498	−	1.68981i	−0.187012	−	0.0549116i	−0.373897	+	0.927470i	$0.621979\pi$
$948$	26.6899	+	30.8018i	0.866849	+	1.00040i
$949$	1.21486	−	0.356714i	0.0394359	−	0.0115794i
$950$	−51.3781	−	33.0187i	−1.66692	−	1.07127i
$951$	9.20056	−	20.1464i	0.298348	−	0.653292i
$952$	−4.57168	+	5.27600i	−0.148169	+	0.170996i
$953$	15.0640	−	9.68107i	0.487972	−	0.313601i	−0.273417	−	0.961896i	$-0.588154\pi$
$953$	15.0640	−	9.68107i	0.487972	−	0.313601i	0.761389	+	0.648295i	$0.224518\pi$
$954$	10.2141	+	71.0403i	0.330692	+	2.30002i
$955$	−3.65039	−	25.3890i	−0.118124	−	0.821570i
$956$	−54.0987	+	34.7671i	−1.74968	+	1.12445i
$957$	15.6620	−	18.0749i	0.506281	−	0.584279i
$958$	23.3227	−	51.0697i	0.753524	−	1.64999i
$959$	−1.39241	−	0.894847i	−0.0449632	−	0.0288961i
$960$	−38.0333	+	11.1676i	−1.22752	+	0.360432i
$961$	18.2196	+	21.0265i	0.587728	+	0.678274i
$962$	1.61315	+	0.473664i	0.0520101	+	0.0152715i
$963$	−2.73967	−	5.99903i	−0.0882845	−	0.193316i
$964$	2.40984	−	16.7608i	0.0776156	−	0.539829i
$965$	18.1172			0.583213
$966$		0			0
$967$	33.5068			1.07751			0.538753	−	0.842464i	$-0.318896\pi$
$967$	33.5068			1.07751			0.538753	+	0.842464i	$0.318896\pi$
$968$	1.97153	−	13.7123i	0.0633673	−	0.440730i
$969$	−13.0040	−	28.4748i	−0.417748	−	0.914741i
$970$	11.3039	+	3.31911i	0.362945	+	0.106570i
$971$	38.8241	+	44.8054i	1.24592	+	1.43787i	0.855960	+	0.517042i	$0.172967\pi$
$971$	38.8241	+	44.8054i	1.24592	+	1.43787i	0.389964	+	0.920830i	$0.372487\pi$
$972$	−61.2928	+	17.9972i	−1.96597	+	0.577260i
$973$	27.8576	+	17.9030i	0.893073	+	0.573943i
$974$	−5.63994	+	12.3497i	−0.180715	+	0.395711i
$975$	−1.12247	+	1.29540i	−0.0359477	+	0.0414859i
$976$	9.72257	−	6.24832i	0.311212	−	0.200004i
$977$	−1.79914	−	12.5133i	−0.0575596	−	0.400336i	−0.998150	−	0.0607934i	$-0.980637\pi$
$977$	−1.79914	−	12.5133i	−0.0575596	−	0.400336i	0.940591	−	0.339542i	$-0.110272\pi$
$978$	−11.6569	−	81.0758i	−0.372748	−	2.59252i
$979$	22.3564	−	14.3676i	0.714513	−	0.459189i
$980$	3.16787	−	3.65592i	0.101194	−	0.116784i
$981$	−21.4877	+	47.0514i	−0.686048	+	1.50224i
$982$	−60.5221	−	38.8952i	−1.93134	−	1.24120i
$983$	−56.0008	+	16.4433i	−1.78615	+	0.524461i	−0.996072	−	0.0885469i	$-0.971778\pi$
$983$	−56.0008	+	16.4433i	−1.78615	+	0.524461i	−0.790077	+	0.613008i	$0.789960\pi$
$984$	1.32399	+	1.52797i	0.0422072	+	0.0487097i
$985$	−13.8546	−	4.06807i	−0.441444	−	0.129620i
$986$	7.10741	+	15.5631i	0.226346	+	0.495629i
$987$	−2.19682	+	15.2792i	−0.0699254	+	0.486342i
$988$	4.48019			0.142534
$989$		0			0
$990$	17.2784			0.549142
$991$	6.51675	−	45.3250i	0.207011	−	1.43980i	−0.575828	−	0.817571i	$-0.695320\pi$
$991$	6.51675	−	45.3250i	0.207011	−	1.43980i	0.782839	−	0.622224i	$-0.213771\pi$
$992$	−5.33204	−	11.6755i	−0.169292	−	0.370699i
$993$	72.7980	+	21.3754i	2.31018	+	0.678329i
$994$	2.50055	+	2.88578i	0.0793125	+	0.0915315i
$995$	−6.79021	+	1.99379i	−0.215264	+	0.0632073i
$996$	−77.8338	−	50.0207i	−2.46626	−	1.58497i
$997$	−16.3475	+	35.7959i	−0.517729	+	1.13367i	0.452563	+	0.891732i	$0.350510\pi$
$997$	−16.3475	+	35.7959i	−0.517729	+	1.13367i	−0.970292	+	0.241936i	$0.922218\pi$
$998$	12.3724	−	14.2785i	0.391640	−	0.451977i
$999$	2.60161	−	1.67195i	0.0823113	−	0.0528983i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	529.2.c.a.399.1		10
23.2	even	11		529.2.c.c.170.1		10
23.3	even	11	inner	529.2.c.a.118.1		10
23.4	even	11		529.2.c.e.266.1		10
23.5	odd	22		529.2.c.d.177.1		10
23.6	even	11		529.2.c.h.334.1		10
23.7	odd	22		529.2.a.i.1.5		5
23.8	even	11		529.2.c.f.466.1		10
23.9	even	11		529.2.c.f.487.1		10
23.10	odd	22		529.2.c.b.501.1		10
23.11	odd	22		529.2.c.i.255.1		10
23.12	even	11		529.2.c.h.255.1		10
23.13	even	11		529.2.c.c.501.1		10
23.14	odd	22		529.2.c.g.487.1		10
23.15	odd	22		529.2.c.g.466.1		10
23.16	even	11		529.2.a.j.1.5		5
23.17	odd	22		529.2.c.i.334.1		10
23.18	even	11		529.2.c.e.177.1		10
23.19	odd	22		529.2.c.d.266.1		10
23.20	odd	22		23.2.c.a.3.1	✓	10
23.21	odd	22		529.2.c.b.170.1		10
23.22	odd	2		23.2.c.a.8.1	yes	10
69.20	even	22		207.2.i.c.118.1		10
69.53	even	22		4761.2.a.bo.1.1		5
69.62	odd	22		4761.2.a.bn.1.1		5
69.68	even	2		207.2.i.c.100.1		10
92.7	even	22		8464.2.a.bs.1.5		5
92.39	odd	22		8464.2.a.bt.1.5		5
92.43	even	22		368.2.m.c.49.1		10
92.91	even	2		368.2.m.c.353.1		10
115.22	even	4		575.2.p.b.399.1		20
115.43	even	44		575.2.p.b.49.1		20
115.68	even	4		575.2.p.b.399.2		20
115.89	odd	22		575.2.k.b.26.1		10
115.112	even	44		575.2.p.b.49.2		20
115.114	odd	2		575.2.k.b.376.1		10

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
23.2.c.a.3.1	✓	10	23.20	odd	22
23.2.c.a.8.1	yes	10	23.22	odd	2
207.2.i.c.100.1		10	69.68	even	2
207.2.i.c.118.1		10	69.20	even	22
368.2.m.c.49.1		10	92.43	even	22
368.2.m.c.353.1		10	92.91	even	2
529.2.a.i.1.5		5	23.7	odd	22
529.2.a.j.1.5		5	23.16	even	11
529.2.c.a.118.1		10	23.3	even	11	inner
529.2.c.a.399.1		10	1.1	even	1	trivial
529.2.c.b.170.1		10	23.21	odd	22
529.2.c.b.501.1		10	23.10	odd	22
529.2.c.c.170.1		10	23.2	even	11
529.2.c.c.501.1		10	23.13	even	11
529.2.c.d.177.1		10	23.5	odd	22
529.2.c.d.266.1		10	23.19	odd	22
529.2.c.e.177.1		10	23.18	even	11
529.2.c.e.266.1		10	23.4	even	11
529.2.c.f.466.1		10	23.8	even	11
529.2.c.f.487.1		10	23.9	even	11
529.2.c.g.466.1		10	23.15	odd	22
529.2.c.g.487.1		10	23.14	odd	22
529.2.c.h.255.1		10	23.12	even	11
529.2.c.h.334.1		10	23.6	even	11
529.2.c.i.255.1		10	23.11	odd	22
529.2.c.i.334.1		10	23.17	odd	22
575.2.k.b.26.1		10	115.89	odd	22
575.2.k.b.376.1		10	115.114	odd	2
575.2.p.b.49.1		20	115.43	even	44
575.2.p.b.49.2		20	115.112	even	44
575.2.p.b.399.1		20	115.22	even	4
575.2.p.b.399.2		20	115.68	even	4
4761.2.a.bn.1.1		5	69.62	odd	22
4761.2.a.bo.1.1		5	69.53	even	22
8464.2.a.bs.1.5		5	92.7	even	22
8464.2.a.bt.1.5		5	92.39	odd	22

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:	\( N \)	\(=\)	\( 529 = 23^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	529.c (of order \(11\), degree \(10\), not minimal)

\(f(q)\)	\(=\)	\(q+(-0.313607 + 2.18119i) q^{2} +(-1.04408 - 2.28621i) q^{3} +(-2.74024 - 0.804606i) q^{4} +(-0.809721 - 0.934468i) q^{5} +(5.31408 - 1.56036i) q^{6} +(1.99611 + 1.28282i) q^{7} +(0.783524 - 1.71568i) q^{8} +(-2.17208 + 2.50672i) q^{9} +O(q^{10})\)	\(q+(-0.313607 + 2.18119i) q^{2} +(-1.04408 - 2.28621i) q^{3} +(-2.74024 - 0.804606i) q^{4} +(-0.809721 - 0.934468i) q^{5} +(5.31408 - 1.56036i) q^{6} +(1.99611 + 1.28282i) q^{7} +(0.783524 - 1.71568i) q^{8} +(-2.17208 + 2.50672i) q^{9} +(2.29218 - 1.47310i) q^{10} +(-0.272084 - 1.89238i) q^{11} +(1.02152 + 7.10483i) q^{12} +(0.165284 - 0.106222i) q^{13} +(-3.42408 + 3.95159i) q^{14} +(-1.29098 + 2.82685i) q^{15} +(-1.30862 - 0.840996i) q^{16} +(-1.49672 + 0.439476i) q^{17} +(-4.78644 - 5.52384i) q^{18} +(-7.66103 - 2.24948i) q^{19} +(1.46695 + 3.21217i) q^{20} +(0.848710 - 5.90291i) q^{21} +4.21297 q^{22} -4.74046 q^{24} +(0.493992 - 3.43579i) q^{25} +(0.179855 + 0.393828i) q^{26} +(0.764125 + 0.224367i) q^{27} +(-4.43766 - 5.12133i) q^{28} +(-4.77570 + 1.40227i) q^{29} +(-5.76103 - 3.70239i) q^{30} +(0.740552 - 1.62158i) q^{31} +(4.71506 - 5.44146i) q^{32} +(-4.04231 + 2.59784i) q^{33} +(-0.489198 - 3.40244i) q^{34} +(-0.417537 - 2.90404i) q^{35} +(7.96894 - 5.12133i) q^{36} +(2.54297 - 2.93475i) q^{37} +(7.30909 - 16.0047i) q^{38} +(-0.415415 - 0.266971i) q^{39} +(-2.23768 + 0.657043i) q^{40} +(-0.279295 - 0.322324i) q^{41} +(12.6092 + 3.70239i) q^{42} +(-1.84991 - 4.05075i) q^{43} +(-0.777050 + 5.40450i) q^{44} +4.10123 q^{45} -2.58842 q^{47} +(-0.556399 + 3.86984i) q^{48} +(-0.569072 - 1.24609i) q^{49} +(7.33918 + 2.15498i) q^{50} +(2.56743 + 2.96297i) q^{51} +(-0.538385 + 0.158084i) q^{52} +(-8.26060 - 5.30876i) q^{53} +(-0.729022 + 1.59634i) q^{54} +(-1.54806 + 1.78656i) q^{55} +(3.76492 - 2.41956i) q^{56} +(2.85592 + 19.8634i) q^{57} +(-1.56092 - 10.8565i) q^{58} +(-6.07293 + 3.90283i) q^{59} +(5.81210 - 6.70752i) q^{60} +(-3.08639 + 6.75826i) q^{61} +(3.30473 + 2.12382i) q^{62} +(-7.55141 + 2.21729i) q^{63} +(8.35283 + 9.63968i) q^{64} +(-0.233095 - 0.0684429i) q^{65} +(-4.39867 - 9.63174i) q^{66} +(1.03413 - 7.19254i) q^{67} +4.45497 q^{68} +6.46519 q^{70} +(0.103930 - 0.722850i) q^{71} +(2.59884 + 5.69067i) q^{72} +(6.18330 + 1.81558i) q^{73} +(5.60373 + 6.46705i) q^{74} +(-8.37071 + 2.45786i) q^{75} +(19.1831 + 12.3282i) q^{76} +(1.88449 - 4.12645i) q^{77} +(0.712591 - 0.822373i) q^{78} +(4.77671 - 3.06980i) q^{79} +(0.273730 + 1.90383i) q^{80} +(1.13126 + 7.86810i) q^{81} +(0.790638 - 0.508112i) q^{82} +(-8.44098 + 9.74141i) q^{83} +(-7.07518 + 15.4925i) q^{84} +(1.62260 + 1.04278i) q^{85} +(9.41558 - 2.76466i) q^{86} +(8.19209 + 9.45418i) q^{87} +(-3.45991 - 1.01592i) q^{88} +(5.77436 + 12.6441i) q^{89} +(-1.28618 + 8.94555i) q^{90} +0.466190 q^{91} -4.48047 q^{93} +(0.811746 - 5.64582i) q^{94} +(4.10123 + 8.98044i) q^{95} +(-17.3632 - 5.09830i) q^{96} +(2.83147 + 3.26769i) q^{97} +(2.89643 - 0.850468i) q^{98} +(5.33466 + 3.42838i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 10 q - 7 q^{2} - 7 q^{3} - 3 q^{4} + 3 q^{5} + 6 q^{6} + 5 q^{7} + 4 q^{8} - 2 q^{9}+O(q^{10}) \) 10 * q - 7 * q^2 - 7 * q^3 - 3 * q^4 + 3 * q^5 + 6 * q^6 + 5 * q^7 + 4 * q^8 - 2 * q^9	\( 10 q - 7 q^{2} - 7 q^{3} - 3 q^{4} + 3 q^{5} + 6 q^{6} + 5 q^{7} + 4 q^{8} - 2 q^{9} - q^{10} - 7 q^{11} + 12 q^{12} - 3 q^{13} - 9 q^{14} - 12 q^{15} + q^{16} + 10 q^{17} - 14 q^{18} - 2 q^{19} + 9 q^{20} + 2 q^{21} + 6 q^{22} - 38 q^{24} - 4 q^{25} + 12 q^{26} - 4 q^{27} - 7 q^{28} + 14 q^{29} - 7 q^{30} + 10 q^{31} + 21 q^{32} - 16 q^{33} - 29 q^{34} + 7 q^{35} + 27 q^{36} + 19 q^{37} + 8 q^{38} + q^{39} - q^{40} + 7 q^{41} + 25 q^{42} + 11 q^{43} + 34 q^{44} + 6 q^{45} - 18 q^{47} + 18 q^{48} - 18 q^{49} + 16 q^{50} - 7 q^{51} - 20 q^{52} - 29 q^{53} - 6 q^{54} - q^{55} + 2 q^{56} + 8 q^{57} - 23 q^{58} - 21 q^{59} - 25 q^{60} - 3 q^{61} + 4 q^{62} - 34 q^{63} + 24 q^{64} - 2 q^{65} - 2 q^{66} - 45 q^{67} + 30 q^{68} + 38 q^{70} - 14 q^{71} + 19 q^{72} + 19 q^{73} - 10 q^{74} - 28 q^{75} + 16 q^{76} + 2 q^{77} - 4 q^{78} + 15 q^{79} + 52 q^{80} - 44 q^{81} + 16 q^{82} - 18 q^{83} + 17 q^{84} - 19 q^{85} + 11 q^{86} - 23 q^{87} - 27 q^{88} - 25 q^{89} + 20 q^{90} + 4 q^{91} + 4 q^{93} + 17 q^{94} + 6 q^{95} - 51 q^{96} + 34 q^{97} + 17 q^{98} + 30 q^{99}+O(q^{100}) \) 10 * q - 7 * q^2 - 7 * q^3 - 3 * q^4 + 3 * q^5 + 6 * q^6 + 5 * q^7 + 4 * q^8 - 2 * q^9 - q^10 - 7 * q^11 + 12 * q^12 - 3 * q^13 - 9 * q^14 - 12 * q^15 + q^16 + 10 * q^17 - 14 * q^18 - 2 * q^19 + 9 * q^20 + 2 * q^21 + 6 * q^22 - 38 * q^24 - 4 * q^25 + 12 * q^26 - 4 * q^27 - 7 * q^28 + 14 * q^29 - 7 * q^30 + 10 * q^31 + 21 * q^32 - 16 * q^33 - 29 * q^34 + 7 * q^35 + 27 * q^36 + 19 * q^37 + 8 * q^38 + q^39 - q^40 + 7 * q^41 + 25 * q^42 + 11 * q^43 + 34 * q^44 + 6 * q^45 - 18 * q^47 + 18 * q^48 - 18 * q^49 + 16 * q^50 - 7 * q^51 - 20 * q^52 - 29 * q^53 - 6 * q^54 - q^55 + 2 * q^56 + 8 * q^57 - 23 * q^58 - 21 * q^59 - 25 * q^60 - 3 * q^61 + 4 * q^62 - 34 * q^63 + 24 * q^64 - 2 * q^65 - 2 * q^66 - 45 * q^67 + 30 * q^68 + 38 * q^70 - 14 * q^71 + 19 * q^72 + 19 * q^73 - 10 * q^74 - 28 * q^75 + 16 * q^76 + 2 * q^77 - 4 * q^78 + 15 * q^79 + 52 * q^80 - 44 * q^81 + 16 * q^82 - 18 * q^83 + 17 * q^84 - 19 * q^85 + 11 * q^86 - 23 * q^87 - 27 * q^88 - 25 * q^89 + 20 * q^90 + 4 * q^91 + 4 * q^93 + 17 * q^94 + 6 * q^95 - 51 * q^96 + 34 * q^97 + 17 * q^98 + 30 * q^99

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