LMFDB - Embedded newform 483.2.q.b.85.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [483,2,Mod(64,483)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(483, base_ring=CyclotomicField(22))

chi = DirichletCharacter(H, H._module([0, 0, 12]))

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

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

chi := DirichletCharacter("483.64");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 483 = 3 \cdot 7 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	483.q (of order $11$, degree $10$, 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:	$3.85677441763$
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:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{11}]$

Embedding invariants

Embedding label			85.1
Root			$-0.841254 - 0.540641i$ of defining polynomial
Character	$\chi$	$=$	483.85
Dual form			483.2.q.b.358.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(1.01255 - 1.16854i) q^{2} +(0.841254 - 0.540641i) q^{3} +(-0.0556075 - 0.386758i) q^{4} +(0.996114 + 2.18119i) q^{5} +(0.220047 - 1.53046i) q^{6} +(-0.959493 + 0.281733i) q^{7} +(2.09325 + 1.34525i) q^{8} +(0.415415 - 0.909632i) q^{9} +O(q^{10})$	\(q+(1.01255 - 1.16854i) q^{2} +(0.841254 - 0.540641i) q^{3} +(-0.0556075 - 0.386758i) q^{4} +(0.996114 + 2.18119i) q^{5} +(0.220047 - 1.53046i) q^{6} +(-0.959493 + 0.281733i) q^{7} +(2.09325 + 1.34525i) q^{8} +(0.415415 - 0.909632i) q^{9} +(3.55742 + 1.04455i) q^{10} +(1.41542 + 1.63348i) q^{11} +(-0.255877 - 0.295298i) q^{12} +(-1.10866 - 0.325532i) q^{13} +(-0.642315 + 1.40647i) q^{14} +(2.01722 + 1.29639i) q^{15} +(4.44130 - 1.30408i) q^{16} +(0.142315 - 0.989821i) q^{17} +(-0.642315 - 1.40647i) q^{18} +(-0.102123 - 0.710278i) q^{19} +(0.788201 - 0.506546i) q^{20} +(-0.654861 + 0.755750i) q^{21} +3.34196 q^{22} +(-1.93440 - 4.38840i) q^{23} +2.48825 q^{24} +(-0.491025 + 0.566673i) q^{25} +(-1.50297 + 0.965898i) q^{26} +(-0.142315 - 0.989821i) q^{27} +(0.162317 + 0.355426i) q^{28} +(-0.0170357 + 0.118486i) q^{29} +(3.55742 - 1.04455i) q^{30} +(-1.68251 - 1.08128i) q^{31} +(0.905836 - 1.98350i) q^{32} +(2.07385 + 0.608936i) q^{33} +(-1.01255 - 1.16854i) q^{34} +(-1.57028 - 1.81219i) q^{35} +(-0.374908 - 0.110083i) q^{36} +(-2.66342 + 5.83208i) q^{37} +(-0.933393 - 0.599855i) q^{38} +(-1.10866 + 0.325532i) q^{39} +(-0.849122 + 5.90578i) q^{40} +(-4.45445 - 9.75388i) q^{41} +(0.220047 + 1.53046i) q^{42} +(-0.290061 + 0.186411i) q^{43} +(0.553053 - 0.638257i) q^{44} +2.39788 q^{45} +(-7.08670 - 2.18304i) q^{46} -0.954061 q^{47} +(3.03122 - 3.49821i) q^{48} +(0.841254 - 0.540641i) q^{49} +(0.164995 + 1.14757i) q^{50} +(-0.415415 - 0.909632i) q^{51} +(-0.0642525 + 0.446886i) q^{52} +(-0.882120 + 0.259014i) q^{53} +(-1.30075 - 0.835939i) q^{54} +(-2.15300 + 4.71441i) q^{55} +(-2.38745 - 0.701020i) q^{56} +(-0.469916 - 0.542313i) q^{57} +(0.121206 + 0.139880i) q^{58} +(-11.4728 - 3.36872i) q^{59} +(0.389217 - 0.852267i) q^{60} +(-4.09833 - 2.63384i) q^{61} +(-2.96714 + 0.871230i) q^{62} +(-0.142315 + 0.989821i) q^{63} +(2.44514 + 5.35411i) q^{64} +(-0.394306 - 2.74246i) q^{65} +(2.81143 - 1.80680i) q^{66} +(0.328463 - 0.379066i) q^{67} -0.390736 q^{68} +(-3.99987 - 2.64594i) q^{69} -3.70760 q^{70} +(9.83807 - 11.3537i) q^{71} +(2.09325 - 1.34525i) q^{72} +(1.43804 + 10.0018i) q^{73} +(4.11819 + 9.01757i) q^{74} +(-0.106710 + 0.742184i) q^{75} +(-0.269027 + 0.0789936i) q^{76} +(-1.81828 - 1.16854i) q^{77} +(-0.742172 + 1.62513i) q^{78} +(7.41784 + 2.17807i) q^{79} +(7.26849 + 8.38828i) q^{80} +(-0.654861 - 0.755750i) q^{81} +(-15.9081 - 4.67105i) q^{82} +(1.78533 - 3.90933i) q^{83} +(0.328708 + 0.211248i) q^{84} +(2.30075 - 0.675560i) q^{85} +(-0.0758716 + 0.527698i) q^{86} +(0.0497270 + 0.108887i) q^{87} +(0.765382 + 5.32335i) q^{88} +(-7.66803 + 4.92795i) q^{89} +(2.42796 - 2.80202i) q^{90} +1.15546 q^{91} +(-1.58969 + 0.992174i) q^{92} -2.00000 q^{93} +(-0.966031 + 1.11486i) q^{94} +(1.44752 - 0.930267i) q^{95} +(-0.310326 - 2.15836i) q^{96} +(2.71594 + 5.94709i) q^{97} +(0.220047 - 1.53046i) q^{98} +(2.07385 - 0.608936i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 10 q + 5 q^{2} - q^{3} - q^{4} - 5 q^{5} - 6 q^{6} - q^{7} + 6 q^{8} - q^{9}+O(q^{10}) $ 10 * q + 5 * q^2 - q^3 - q^4 - 5 * q^5 - 6 * q^6 - q^7 + 6 * q^8 - q^9	\( 10 q + 5 q^{2} - q^{3} - q^{4} - 5 q^{5} - 6 q^{6} - q^{7} + 6 q^{8} - q^{9} + 3 q^{10} + 9 q^{11} - 12 q^{12} - 15 q^{13} - 6 q^{14} + 6 q^{15} + 5 q^{16} + q^{17} - 6 q^{18} - 19 q^{19} - 5 q^{20} - q^{21} - 12 q^{22} - 21 q^{23} + 6 q^{24} + 2 q^{25} - 13 q^{26} - q^{27} - q^{28} + 3 q^{30} + 2 q^{31} + 7 q^{32} - 2 q^{33} - 5 q^{34} - 5 q^{35} + 10 q^{36} - 27 q^{37} + 18 q^{38} - 15 q^{39} - 3 q^{40} + 10 q^{41} - 6 q^{42} + 15 q^{43} + 9 q^{44} + 6 q^{45} - 5 q^{46} - 18 q^{47} + 5 q^{48} - q^{49} + 34 q^{50} + q^{51} + 18 q^{52} + 19 q^{53} + 5 q^{54} - 21 q^{55} - 5 q^{56} + 3 q^{57} - 13 q^{59} + 6 q^{60} - 18 q^{61} - 10 q^{62} - q^{63} + 54 q^{64} + 2 q^{65} + 10 q^{66} - 18 q^{67} - 10 q^{68} + q^{69} - 8 q^{70} + 38 q^{71} + 6 q^{72} + 14 q^{73} + 14 q^{74} + 2 q^{75} + 3 q^{76} - 13 q^{77} + 9 q^{78} + 25 q^{79} + 25 q^{80} - q^{81} - 72 q^{82} - 19 q^{83} - q^{84} + 5 q^{85} + 2 q^{86} + 33 q^{87} + q^{88} - 17 q^{89} + 14 q^{90} - 4 q^{91} + 67 q^{92} - 20 q^{93} + 13 q^{94} + 37 q^{95} + 18 q^{96} - 49 q^{97} - 6 q^{98} - 2 q^{99}+O(q^{100}) \) 10 * q + 5 * q^2 - q^3 - q^4 - 5 * q^5 - 6 * q^6 - q^7 + 6 * q^8 - q^9 + 3 * q^10 + 9 * q^11 - 12 * q^12 - 15 * q^13 - 6 * q^14 + 6 * q^15 + 5 * q^16 + q^17 - 6 * q^18 - 19 * q^19 - 5 * q^20 - q^21 - 12 * q^22 - 21 * q^23 + 6 * q^24 + 2 * q^25 - 13 * q^26 - q^27 - q^28 + 3 * q^30 + 2 * q^31 + 7 * q^32 - 2 * q^33 - 5 * q^34 - 5 * q^35 + 10 * q^36 - 27 * q^37 + 18 * q^38 - 15 * q^39 - 3 * q^40 + 10 * q^41 - 6 * q^42 + 15 * q^43 + 9 * q^44 + 6 * q^45 - 5 * q^46 - 18 * q^47 + 5 * q^48 - q^49 + 34 * q^50 + q^51 + 18 * q^52 + 19 * q^53 + 5 * q^54 - 21 * q^55 - 5 * q^56 + 3 * q^57 - 13 * q^59 + 6 * q^60 - 18 * q^61 - 10 * q^62 - q^63 + 54 * q^64 + 2 * q^65 + 10 * q^66 - 18 * q^67 - 10 * q^68 + q^69 - 8 * q^70 + 38 * q^71 + 6 * q^72 + 14 * q^73 + 14 * q^74 + 2 * q^75 + 3 * q^76 - 13 * q^77 + 9 * q^78 + 25 * q^79 + 25 * q^80 - q^81 - 72 * q^82 - 19 * q^83 - q^84 + 5 * q^85 + 2 * q^86 + 33 * q^87 + q^88 - 17 * q^89 + 14 * q^90 - 4 * q^91 + 67 * q^92 - 20 * q^93 + 13 * q^94 + 37 * q^95 + 18 * q^96 - 49 * q^97 - 6 * q^98 - 2 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/483\mathbb{Z}\right)^\times$.

$n$	$323$	$346$	$442$
$\chi(n)$	$1$	$1$	$e\left(\frac{4}{11}\right)$

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 $

$2$	1.01255	−	1.16854i	0.715978	−	0.826283i	−0.274839	−	0.961490i	$-0.588625\pi$
$2$	1.01255	−	1.16854i	0.715978	−	0.826283i	0.990817	+	0.135207i	$0.0431701\pi$
$3$	0.841254	−	0.540641i	0.485698	−	0.312139i
$3$	0.841254	−	0.540641i	0.485698	−	0.312139i
$4$	−0.0556075	−	0.386758i	−0.0278037	−	0.193379i
$5$	0.996114	+	2.18119i	0.445476	+	0.975456i	0.990561	+	0.137075i	$0.0437702\pi$
$5$	0.996114	+	2.18119i	0.445476	+	0.975456i	−0.545085	+	0.838381i	$0.683503\pi$
$6$	0.220047	−	1.53046i	0.0898339	−	0.624809i
$7$	−0.959493	+	0.281733i	−0.362654	+	0.106485i
$7$	−0.959493	+	0.281733i	−0.362654	+	0.106485i
$8$	2.09325	+	1.34525i	0.740074	+	0.475617i
$9$	0.415415	−	0.909632i	0.138472	−	0.303211i
$10$	3.55742	+	1.04455i	1.12495	+	0.330316i
$11$	1.41542	+	1.63348i	0.426764	+	0.492512i	0.927886	−	0.372865i	$-0.121625\pi$
$11$	1.41542	+	1.63348i	0.426764	+	0.492512i	−0.501122	+	0.865377i	$0.667079\pi$
$12$	−0.255877	−	0.295298i	−0.0738654	−	0.0852452i
$13$	−1.10866	−	0.325532i	−0.307487	−	0.0902863i	0.124349	−	0.992239i	$-0.460316\pi$
$13$	−1.10866	−	0.325532i	−0.307487	−	0.0902863i	−0.431836	+	0.901952i	$0.642134\pi$
$14$	−0.642315	+	1.40647i	−0.171666	+	0.375896i
$15$	2.01722	+	1.29639i	0.520845	+	0.334727i
$16$	4.44130	−	1.30408i	1.11032	−	0.326021i
$17$	0.142315	−	0.989821i	0.0345164	−	0.240067i	−0.965258	−	0.261298i	$-0.915849\pi$
$17$	0.142315	−	0.989821i	0.0345164	−	0.240067i	0.999775	+	0.0212310i	$0.00675856\pi$
$18$	−0.642315	−	1.40647i	−0.151395	−	0.331509i
$19$	−0.102123	−	0.710278i	−0.0234285	−	0.162949i	0.974748	−	0.223306i	$-0.0716851\pi$
$19$	−0.102123	−	0.710278i	−0.0234285	−	0.162949i	−0.998177	+	0.0603574i	$0.980776\pi$
$20$	0.788201	−	0.506546i	0.176247	−	0.113267i
$21$	−0.654861	+	0.755750i	−0.142902	+	0.164918i
$22$	3.34196			0.712507
$23$	−1.93440	−	4.38840i	−0.403351	−	0.915046i
$23$	−1.93440	−	4.38840i	−0.403351	−	0.915046i
$24$	2.48825			0.507911
$25$	−0.491025	+	0.566673i	−0.0982050	+	0.113335i
$26$	−1.50297	+	0.965898i	−0.294756	+	0.189428i
$27$	−0.142315	−	0.989821i	−0.0273885	−	0.190491i
$28$	0.162317	+	0.355426i	0.0306751	+	0.0671691i
$29$	−0.0170357	+	0.118486i	−0.00316345	+	0.0220023i	−0.991342	−	0.131305i	$-0.958083\pi$
$29$	−0.0170357	+	0.118486i	−0.00316345	+	0.0220023i	0.988179	+	0.153307i	$0.0489924\pi$
$30$	3.55742	−	1.04455i	0.649492	−	0.190708i
$31$	−1.68251	−	1.08128i	−0.302187	−	0.194204i	0.380756	−	0.924676i	$-0.375664\pi$
$31$	−1.68251	−	1.08128i	−0.302187	−	0.194204i	−0.682943	+	0.730472i	$0.739300\pi$
$32$	0.905836	−	1.98350i	0.160131	−	0.350637i
$33$	2.07385	+	0.608936i	0.361010	+	0.106002i
$34$	−1.01255	−	1.16854i	−0.173650	−	0.200403i
$35$	−1.57028	−	1.81219i	−0.265425	−	0.306317i
$36$	−0.374908	−	0.110083i	−0.0624847	−	0.0183472i
$37$	−2.66342	+	5.83208i	−0.437864	+	0.958789i	0.554121	+	0.832436i	$0.313054\pi$
$37$	−2.66342	+	5.83208i	−0.437864	+	0.958789i	−0.991985	+	0.126353i	$0.959673\pi$
$38$	−0.933393	−	0.599855i	−0.151416	−	0.0973093i
$39$	−1.10866	+	0.325532i	−0.177528	+	0.0521268i
$40$	−0.849122	+	5.90578i	−0.134258	+	0.933785i
$41$	−4.45445	−	9.75388i	−0.695668	−	1.52330i	−0.845146	−	0.534535i	$-0.820487\pi$
$41$	−4.45445	−	9.75388i	−0.695668	−	1.52330i	0.149478	−	0.988765i	$-0.452241\pi$
$42$	0.220047	+	1.53046i	0.0339540	+	0.236155i
$43$	−0.290061	+	0.186411i	−0.0442340	+	0.0284274i	−0.562571	−	0.826749i	$-0.690188\pi$
$43$	−0.290061	+	0.186411i	−0.0442340	+	0.0284274i	0.518337	+	0.855176i	$0.326551\pi$
$44$	0.553053	−	0.638257i	0.0833759	−	0.0962209i
$45$	2.39788			0.357454
$46$	−7.08670	−	2.18304i	−1.04488	−	0.321871i
$47$	−0.954061			−0.139164			−0.0695821	−	0.997576i	$-0.522167\pi$
$47$	−0.954061			−0.139164			−0.0695821	+	0.997576i	$0.522167\pi$
$48$	3.03122	−	3.49821i	0.437519	−	0.504923i
$49$	0.841254	−	0.540641i	0.120179	−	0.0772344i
$50$	0.164995	+	1.14757i	0.0233338	+	0.162290i
$51$	−0.415415	−	0.909632i	−0.0581697	−	0.127374i
$52$	−0.0642525	+	0.446886i	−0.00891021	+	0.0619719i
$53$	−0.882120	+	0.259014i	−0.121168	+	0.0355783i	−0.341755	−	0.939789i	$-0.611021\pi$
$53$	−0.882120	+	0.259014i	−0.121168	+	0.0355783i	0.220586	+	0.975367i	$0.429203\pi$
$54$	−1.30075	−	0.835939i	−0.177009	−	0.113757i
$55$	−2.15300	+	4.71441i	−0.290310	+	0.635691i
$56$	−2.38745	−	0.701020i	−0.319037	−	0.0936777i
$57$	−0.469916	−	0.542313i	−0.0622420	−	0.0718310i
$58$	0.121206	+	0.139880i	0.0159152	+	0.0183671i
$59$	−11.4728	−	3.36872i	−1.49363	−	0.438570i	−0.569934	−	0.821691i	$-0.693031\pi$
$59$	−11.4728	−	3.36872i	−1.49363	−	0.438570i	−0.923698	+	0.383121i	$0.874849\pi$
$60$	0.389217	−	0.852267i	0.0502477	−	0.110027i
$61$	−4.09833	−	2.63384i	−0.524738	−	0.337229i	0.251306	−	0.967908i	$-0.419140\pi$
$61$	−4.09833	−	2.63384i	−0.524738	−	0.337229i	−0.776044	+	0.630679i	$0.782776\pi$
$62$	−2.96714	+	0.871230i	−0.376827	+	0.110646i
$63$	−0.142315	+	0.989821i	−0.0179300	+	0.124706i
$64$	2.44514	+	5.35411i	0.305642	+	0.669264i
$65$	−0.394306	−	2.74246i	−0.0489077	−	0.340161i
$66$	2.81143	−	1.80680i	0.346063	−	0.222401i
$67$	0.328463	−	0.379066i	0.0401281	−	0.0463103i	−0.735331	−	0.677708i	$-0.762973\pi$
$67$	0.328463	−	0.379066i	0.0401281	−	0.0463103i	0.775459	+	0.631398i	$0.217519\pi$
$68$	−0.390736			−0.0473836
$69$	−3.99987	−	2.64594i	−0.481528	−	0.318534i
$70$	−3.70760			−0.443143
$71$	9.83807	−	11.3537i	1.16756	−	1.34744i	0.241352	−	0.970438i	$-0.422409\pi$
$71$	9.83807	−	11.3537i	1.16756	−	1.34744i	0.926212	−	0.377003i	$-0.123045\pi$
$72$	2.09325	−	1.34525i	0.246691	−	0.158539i
$73$	1.43804	+	10.0018i	0.168310	+	1.17062i	0.882376	+	0.470544i	$0.155942\pi$
$73$	1.43804	+	10.0018i	0.168310	+	1.17062i	−0.714066	+	0.700078i	$0.753149\pi$
$74$	4.11819	+	9.01757i	0.478729	+	1.04827i
$75$	−0.106710	+	0.742184i	−0.0123218	+	0.0857000i
$76$	−0.269027	+	0.0789936i	−0.0308596	+	0.00906118i
$77$	−1.81828	−	1.16854i	−0.207213	−	0.133168i
$78$	−0.742172	+	1.62513i	−0.0840345	+	0.184010i
$79$	7.41784	+	2.17807i	0.834572	+	0.245053i	0.670980	−	0.741475i	$-0.265874\pi$
$79$	7.41784	+	2.17807i	0.834572	+	0.245053i	0.163592	+	0.986528i	$0.447692\pi$
$80$	7.26849	+	8.38828i	0.812642	+	0.937838i
$81$	−0.654861	−	0.755750i	−0.0727623	−	0.0839722i
$82$	−15.9081	−	4.67105i	−1.75676	−	0.515831i
$83$	1.78533	−	3.90933i	0.195966	−	0.429105i	−0.785984	−	0.618247i	$-0.787843\pi$
$83$	1.78533	−	3.90933i	0.195966	−	0.429105i	0.981950	+	0.189142i	$0.0605706\pi$
$84$	0.328708	+	0.211248i	0.0358649	+	0.0230490i
$85$	2.30075	−	0.675560i	0.249551	−	0.0732748i
$86$	−0.0758716	+	0.527698i	−0.00818144	+	0.0569032i
$87$	0.0497270	+	0.108887i	0.00533130	+	0.0116739i
$88$	0.765382	+	5.32335i	0.0815900	+	0.567471i
$89$	−7.66803	+	4.92795i	−0.812810	+	0.522361i	−0.879773	−	0.475394i	$-0.842305\pi$
$89$	−7.66803	+	4.92795i	−0.812810	+	0.522361i	0.0669629	+	0.997755i	$0.478669\pi$
$90$	2.42796	−	2.80202i	0.255930	−	0.295358i
$91$	1.15546			0.121126
$92$	−1.58969	+	0.992174i	−0.165736	+	0.103441i
$93$	−2.00000			−0.207390
$94$	−0.966031	+	1.11486i	−0.0996385	+	0.114989i
$95$	1.44752	−	0.930267i	0.148513	−	0.0954434i
$96$	−0.310326	−	2.15836i	−0.0316725	−	0.220287i
$97$	2.71594	+	5.94709i	0.275762	+	0.603835i	0.995946	−	0.0899476i	$-0.0286700\pi$
$97$	2.71594	+	5.94709i	0.275762	+	0.603835i	−0.720184	+	0.693783i	$0.755943\pi$
$98$	0.220047	−	1.53046i	0.0222281	−	0.154600i
$99$	2.07385	−	0.608936i	0.208429	−	0.0612004i
$100$	0.246470	+	0.158397i	0.0246470	+	0.0158397i
$101$	−4.91061	+	10.7527i	−0.488624	+	1.06994i	0.491377	+	0.870947i	$0.336494\pi$
$101$	−4.91061	+	10.7527i	−0.488624	+	1.06994i	−0.980001	+	0.198991i	$0.936234\pi$
$102$	−1.48357	−	0.435615i	−0.146895	−	0.0431323i
$103$	0.642560	+	0.741554i	0.0633133	+	0.0730675i	0.786523	−	0.617561i	$-0.211879\pi$
$103$	0.642560	+	0.741554i	0.0633133	+	0.0730675i	−0.723209	+	0.690629i	$0.757334\pi$
$104$	−1.88278	−	2.17284i	−0.184621	−	0.213065i
$105$	−2.30075	−	0.675560i	−0.224530	−	0.0659279i
$106$	−0.590519	+	1.29306i	−0.0573562	+	0.125593i
$107$	−5.32540	−	3.42243i	−0.514826	−	0.330858i	0.257296	−	0.966333i	$-0.417168\pi$
$107$	−5.32540	−	3.42243i	−0.514826	−	0.330858i	−0.772122	+	0.635474i	$0.780805\pi$
$108$	−0.374908	+	0.110083i	−0.0360755	+	0.0105927i
$109$	−2.55984	+	17.8041i	−0.245188	+	1.70532i	0.380117	+	0.924939i	$0.375884\pi$
$109$	−2.55984	+	17.8041i	−0.245188	+	1.70532i	−0.625304	+	0.780381i	$0.715025\pi$
$110$	3.32897	+	7.28943i	0.317405	+	0.695019i
$111$	0.912448	+	6.34622i	0.0866057	+	0.602356i
$112$	−3.89399	+	2.50252i	−0.367948	+	0.236466i
$113$	7.91644	−	9.13606i	0.744716	−	0.859448i	−0.249329	−	0.968419i	$-0.580210\pi$
$113$	7.91644	−	9.13606i	0.744716	−	0.859448i	0.994045	+	0.108971i	$0.0347556\pi$
$114$	−1.10953			−0.103917
$115$	7.64504	−	8.59064i	0.712904	−	0.801081i
$116$	0.0467728			0.00434274
$117$	−0.756669	+	0.873242i	−0.0699540	+	0.0807313i
$118$	−15.5532	+	9.99545i	−1.43179	+	0.920156i
$119$	0.142315	+	0.989821i	0.0130460	+	0.0907368i
$120$	2.47858	+	5.42733i	0.226262	+	0.495445i
$121$	0.900619	−	6.26394i	0.0818745	−	0.569449i
$122$	−7.22750	+	2.12219i	−0.654347	+	0.192134i
$123$	−9.02067	−	5.79723i	−0.813366	−	0.522719i
$124$	−0.324635	+	0.710851i	−0.0291531	+	0.0638363i
$125$	9.77860	+	2.87125i	0.874624	+	0.256813i
$126$	1.01255	+	1.16854i	0.0902048	+	0.104102i
$127$	−2.69688	−	3.11237i	−0.239309	−	0.276178i	0.623372	−	0.781925i	$-0.285762\pi$
$127$	−2.69688	−	3.11237i	−0.239309	−	0.276178i	−0.862682	+	0.505748i	$0.831217\pi$
$128$	12.9168	+	3.79270i	1.14169	+	0.335231i
$129$	−0.143234	+	0.313638i	−0.0126110	+	0.0276143i
$130$	−3.60393	−	2.31611i	−0.316086	−	0.203136i
$131$	−11.0947	+	3.25769i	−0.969347	+	0.284626i	−0.727820	−	0.685768i	$-0.759466\pi$
$131$	−11.0947	+	3.25769i	−0.969347	+	0.284626i	−0.241527	+	0.970394i	$0.577648\pi$
$132$	0.120190	−	0.835939i	0.0104612	−	0.0727592i
$133$	0.298094	+	0.652736i	0.0258481	+	0.0565994i
$134$	−0.110370	−	0.767644i	−0.00953456	−	0.0663143i
$135$	2.01722	−	1.29639i	0.173615	−	0.111576i
$136$	1.62945	−	1.88049i	0.139725	−	0.161251i
$137$	15.9350			1.36142			0.680711	−	0.732552i	$-0.261671\pi$
$137$	15.9350			1.36142			0.680711	+	0.732552i	$0.261671\pi$
$138$	−7.14195	+	1.99487i	−0.607963	+	0.169815i
$139$	−0.369694			−0.0313570			−0.0156785	−	0.999877i	$-0.504991\pi$
$139$	−0.369694			−0.0313570			−0.0156785	+	0.999877i	$0.504991\pi$
$140$	−0.613563	+	0.708089i	−0.0518555	+	0.0598444i
$141$	−0.802607	+	0.515804i	−0.0675917	+	0.0434386i
$142$	−3.30580	−	22.9924i	−0.277417	−	1.92948i
$143$	−1.03747	−	2.27173i	−0.0867572	−	0.189972i
$144$	0.658746	−	4.58168i	0.0548955	−	0.381807i
$145$	−0.275410	+	0.0808676i	−0.0228715	+	0.00671569i
$146$	13.1436	+	8.44687i	1.08777	+	0.699068i
$147$	0.415415	−	0.909632i	0.0342629	−	0.0750252i
$148$	2.40371	+	0.705794i	0.197584	+	0.0580159i
$149$	6.41924	+	7.40819i	0.525884	+	0.606903i	0.955094	−	0.296302i	$-0.0957534\pi$
$149$	6.41924	+	7.40819i	0.525884	+	0.606903i	−0.429210	+	0.903205i	$0.641208\pi$
$150$	0.759223	+	0.876190i	0.0619903	+	0.0715406i
$151$	−5.39647	−	1.58455i	−0.439159	−	0.128949i	0.0546765	−	0.998504i	$-0.482587\pi$
$151$	−5.39647	−	1.58455i	−0.439159	−	0.128949i	−0.493835	+	0.869555i	$0.664405\pi$
$152$	0.741732	−	1.62417i	0.0601624	−	0.131737i
$153$	−0.841254	−	0.540641i	−0.0680113	−	0.0437082i
$154$	−3.20658	+	0.941538i	−0.258394	+	0.0758713i
$155$	0.682507	−	4.74694i	0.0548203	−	0.381283i
$156$	0.187552	+	0.410682i	0.0150162	+	0.0328809i
$157$	1.36522	+	9.49531i	0.108956	+	0.757808i	0.968906	+	0.247429i	$0.0795858\pi$
$157$	1.36522	+	9.49531i	0.108956	+	0.757808i	−0.859950	+	0.510379i	$0.829505\pi$
$158$	10.0561	−	6.46265i	0.800018	−	0.514141i
$159$	−0.602053	+	0.694806i	−0.0477459	+	0.0551017i
$160$	5.22871			0.413366
$161$	3.09240	+	3.66566i	0.243715	+	0.288894i
$162$	−1.54620			−0.121481
$163$	9.16725	−	10.5796i	0.718034	−	0.828656i	−0.273035	−	0.962004i	$-0.588027\pi$
$163$	9.16725	−	10.5796i	0.718034	−	0.828656i	0.991069	+	0.133348i	$0.0425729\pi$
$164$	−3.52469	+	2.26518i	−0.275232	+	0.176881i
$165$	0.737585	+	5.13002i	0.0574209	+	0.399371i
$166$	−2.76048	−	6.04461i	−0.214255	−	0.469153i
$167$	1.79254	−	12.4674i	0.138711	−	0.964757i	−0.794969	−	0.606650i	$-0.792513\pi$
$167$	1.79254	−	12.4674i	0.138711	−	0.964757i	0.933680	−	0.358107i	$-0.116578\pi$
$168$	−2.38745	+	0.701020i	−0.184196	+	0.0540848i
$169$	−9.81314	−	6.30652i	−0.754857	−	0.485117i
$170$	1.54019	−	3.37255i	0.118127	−	0.258663i
$171$	−0.688515	−	0.202166i	−0.0526521	−	0.0154600i
$172$	0.0882257	+	0.101818i	0.00672714	+	0.00776354i
$173$	−11.8083	−	13.6275i	−0.897770	−	1.03608i	−0.999150	−	0.0412337i	$-0.986871\pi$
$173$	−11.8083	−	13.6275i	−0.897770	−	1.03608i	0.101380	−	0.994848i	$-0.467674\pi$
$174$	0.177590	+	0.0521451i	0.0134630	+	0.00395311i
$175$	0.311485	−	0.682057i	0.0235460	−	0.0515586i
$176$	8.41647	+	5.40894i	0.634415	+	0.407714i
$177$	−11.4728	+	3.36872i	−0.862349	+	0.253208i
$178$	−2.00573	+	13.9502i	−0.150336	+	1.04561i
$179$	0.806606	+	1.76622i	0.0602885	+	0.132013i	0.937378	−	0.348313i	$-0.113245\pi$
$179$	0.806606	+	1.76622i	0.0602885	+	0.132013i	−0.877090	+	0.480327i	$0.840518\pi$
$180$	−0.133340	−	0.927399i	−0.00993857	−	0.0691243i
$181$	−11.5524	+	7.42429i	−0.858684	+	0.551843i	−0.894272	−	0.447524i	$-0.852306\pi$
$181$	−11.5524	+	7.42429i	−0.858684	+	0.551843i	0.0355879	+	0.999367i	$0.488670\pi$
$182$	1.16996	−	1.35021i	0.0867233	−	0.100084i
$183$	−4.87170			−0.360126
$184$	1.85431	−	11.7883i	0.136702	−	0.869042i
$185$	−15.3739			−1.13031
$186$	−2.02509	+	2.33708i	−0.148487	+	0.171363i
$187$	1.81828	−	1.16854i	0.132966	−	0.0854521i
$188$	0.0530529	+	0.368991i	0.00386928	+	0.0269114i
$189$	0.415415	+	0.909632i	0.0302170	+	0.0661660i
$190$	0.378630	−	2.63343i	0.0274687	−	0.191049i
$191$	−7.87190	+	2.31140i	−0.569590	+	0.167247i	−0.553831	−	0.832629i	$-0.686835\pi$
$191$	−7.87190	+	2.31140i	−0.569590	+	0.167247i	−0.0157592	+	0.999876i	$0.505017\pi$
$192$	4.95163	+	3.18222i	0.357353	+	0.229657i
$193$	−8.34608	+	18.2754i	−0.600764	+	1.31549i	0.327951	+	0.944695i	$0.393642\pi$
$193$	−8.34608	+	18.2754i	−0.600764	+	1.31549i	−0.928715	+	0.370794i	$0.879085\pi$
$194$	9.69943	+	2.84801i	0.696379	+	0.204475i
$195$	−1.81440	−	2.09393i	−0.129932	−	0.149949i
$196$	−0.255877	−	0.295298i	−0.0182770	−	0.0210927i
$197$	−0.158057	−	0.0464099i	−0.0112611	−	0.00330657i	0.276097	−	0.961130i	$-0.410959\pi$
$197$	−0.158057	−	0.0464099i	−0.0112611	−	0.00330657i	−0.287358	+	0.957823i	$0.592777\pi$
$198$	1.38830	−	3.03995i	0.0986621	−	0.216040i
$199$	−2.83298	−	1.82065i	−0.200825	−	0.129062i	0.436363	−	0.899770i	$-0.356266\pi$
$199$	−2.83298	−	1.82065i	−0.200825	−	0.129062i	−0.637188	+	0.770708i	$0.719903\pi$
$200$	−1.79015	+	0.525636i	−0.126583	+	0.0371681i
$201$	0.0713817	−	0.496471i	0.00503488	−	0.0350184i
$202$	7.59279	+	16.6259i	0.534227	+	1.16979i
$203$	−0.0170357	−	0.118486i	−0.00119567	−	0.00831609i
$204$	−0.328708	+	0.211248i	−0.0230141	+	0.0147903i
$205$	16.8379	−	19.4320i	1.17601	−	1.35719i
$206$	1.51716			0.105705
$207$	−4.79541	−	0.0634158i	−0.333304	−	0.00440770i
$208$	−5.34841			−0.370846
$209$	1.01568	−	1.17215i	0.0702558	−	0.0810796i
$210$	−3.11903	+	2.00448i	−0.215234	+	0.138322i
$211$	−0.160018	−	1.11295i	−0.0110161	−	0.0766188i	0.983572	−	0.180518i	$-0.0577773\pi$
$211$	−0.160018	−	1.11295i	−0.0110161	−	0.0766188i	−0.994588	+	0.103899i	$0.966868\pi$
$212$	0.149228	+	0.326764i	0.0102490	+	0.0224422i
$213$	2.13802	−	14.8702i	0.146494	−	1.01889i
$214$	−9.39145	+	2.75758i	−0.641986	+	0.188504i
$215$	−0.695532	−	0.446991i	−0.0474349	−	0.0304845i
$216$	1.03365	−	2.26339i	0.0703313	−	0.154004i
$217$	1.91899	+	0.563465i	0.130269	+	0.0382505i
$218$	18.2128	+	21.0187i	1.23353	+	1.42357i
$219$	6.61714	+	7.63659i	0.447145	+	0.516033i
$220$	1.94306	+	0.570534i	0.131001	+	0.0384654i
$221$	−0.479997	+	1.05105i	−0.0322881	+	0.0707011i
$222$	8.33971	+	5.35960i	0.559724	+	0.359713i
$223$	25.2334	−	7.40918i	1.68975	−	0.496156i	0.711344	−	0.702844i	$-0.248087\pi$
$223$	25.2334	−	7.40918i	1.68975	−	0.496156i	0.978407	+	0.206688i	$0.0662686\pi$
$224$	−0.310326	+	2.15836i	−0.0207345	+	0.144212i
$225$	0.311485	+	0.682057i	0.0207657	+	0.0454704i
$226$	−2.66009	−	18.5014i	−0.176947	−	1.23069i
$227$	−8.58452	+	5.51694i	−0.569775	+	0.366172i	−0.793584	−	0.608461i	$-0.791787\pi$
$227$	−8.58452	+	5.51694i	−0.569775	+	0.366172i	0.223809	+	0.974633i	$0.428151\pi$
$228$	−0.183613	+	0.211901i	−0.0121601	+	0.0140335i
$229$	0.843571			0.0557447			0.0278724	−	0.999611i	$-0.491127\pi$
$229$	0.843571			0.0557447			0.0278724	+	0.999611i	$0.491127\pi$
$230$	−2.29755	−	17.6320i	−0.151496	−	1.16262i
$231$	−2.16140			−0.142210
$232$	−0.195053	+	0.225103i	−0.0128059	+	0.0147787i
$233$	11.1471	−	7.16381i	0.730271	−	0.469317i	−0.121925	−	0.992539i	$-0.538907\pi$
$233$	11.1471	−	7.16381i	0.730271	−	0.469317i	0.852196	+	0.523222i	$0.175270\pi$
$234$	0.254257	+	1.76840i	0.0166213	+	0.115604i
$235$	−0.950354	−	2.08098i	−0.0619943	−	0.135748i
$236$	−0.664907	+	4.62453i	−0.0432818	+	0.301031i
$237$	7.41784	−	2.17807i	0.481841	−	0.141481i
$238$	1.30075	+	0.835939i	0.0843149	+	0.0541859i
$239$	0.165173	−	0.361679i	0.0106842	−	0.0233950i	−0.904215	−	0.427078i	$-0.859543\pi$
$239$	0.165173	−	0.361679i	0.0106842	−	0.0233950i	0.914899	+	0.403683i	$0.132270\pi$
$240$	10.6497	+	3.12703i	0.687434	+	0.201849i
$241$	−7.52402	−	8.68318i	−0.484665	−	0.559333i	0.459767	−	0.888039i	$-0.347933\pi$
$241$	−7.52402	−	8.68318i	−0.484665	−	0.559333i	−0.944432	+	0.328706i	$0.893387\pi$
$242$	−6.40775	−	7.39494i	−0.411906	−	0.475365i
$243$	−0.959493	−	0.281733i	−0.0615515	−	0.0180732i
$244$	−0.790762	+	1.73153i	−0.0506233	+	0.110850i
$245$	2.01722	+	1.29639i	0.128876	+	0.0828233i
$246$	−15.9081	+	4.67105i	−1.01427	+	0.297815i
$247$	−0.117999	+	0.820702i	−0.00750810	+	0.0522200i
$248$	−2.06731	−	4.52678i	−0.131274	−	0.287451i
$249$	−0.611627	−	4.25396i	−0.0387603	−	0.269584i
$250$	13.2565	−	8.51941i	0.838412	−	0.538815i
$251$	14.6020	−	16.8516i	0.921669	−	1.06366i	−0.0761130	−	0.997099i	$-0.524251\pi$
$251$	14.6020	−	16.8516i	0.921669	−	1.06366i	0.997782	−	0.0665637i	$-0.0212036\pi$
$252$	0.390736			0.0246140
$253$	4.43037	−	9.37121i	0.278535	−	0.589163i
$254$	−6.36764			−0.399541
$255$	1.57028	−	1.81219i	0.0983345	−	0.113484i
$256$	7.60748	−	4.88903i	0.475468	−	0.305564i
$257$	1.29013	+	8.97308i	0.0804764	+	0.559725i	0.989671	+	0.143355i	$0.0457890\pi$
$257$	1.29013	+	8.97308i	0.0804764	+	0.559725i	−0.909195	+	0.416371i	$0.863302\pi$
$258$	0.221468	+	0.484947i	0.0137880	+	0.0301915i
$259$	0.912448	−	6.34622i	0.0566968	−	0.394335i
$260$	−1.03874	+	0.305003i	−0.0644201	+	0.0189155i
$261$	0.100702	+	0.0647171i	0.00623329	+	0.00400589i
$262$	−7.42713	+	16.2631i	−0.458850	+	1.00474i
$263$	9.00558	+	2.64428i	0.555308	+	0.163053i	0.547333	−	0.836915i	$-0.315643\pi$
$263$	9.00558	+	2.64428i	0.555308	+	0.163053i	0.00797515	+	0.999968i	$0.497461\pi$
$264$	3.52190	+	4.06449i	0.216758	+	0.250152i
$265$	−1.44365	−	1.66606i	−0.0886826	−	0.102345i
$266$	1.06458	+	0.312590i	0.0652737	+	0.0191661i
$267$	−3.78651	+	8.29130i	−0.231731	+	0.507420i
$268$	−0.164872	−	0.105957i	−0.0100712	−	0.00647234i
$269$	−30.5038	+	8.95672i	−1.85985	+	0.546101i	−0.860523	+	0.509412i	$0.829863\pi$
$269$	−30.5038	+	8.95672i	−1.85985	+	0.546101i	−0.999327	+	0.0366889i	$0.988319\pi$
$270$	0.527646	−	3.66986i	0.0321115	−	0.223341i
$271$	12.2075	+	26.7306i	0.741551	+	1.62377i	0.780987	+	0.624548i	$0.214717\pi$
$271$	12.2075	+	26.7306i	0.741551	+	1.62377i	−0.0394358	+	0.999222i	$0.512556\pi$
$272$	−0.658746	−	4.58168i	−0.0399424	−	0.277805i
$273$	0.972039	−	0.624691i	0.0588305	−	0.0378080i
$274$	16.1350	−	18.6207i	0.974748	−	1.12492i
$275$	−1.62065			−0.0977289
$276$	−0.800918	+	1.69412i	−0.0482096	+	0.101974i
$277$	−2.21493			−0.133082			−0.0665411	−	0.997784i	$-0.521196\pi$
$277$	−2.21493			−0.133082			−0.0665411	+	0.997784i	$0.521196\pi$
$278$	−0.374332	+	0.432002i	−0.0224509	+	0.0259097i
$279$	−1.68251	+	1.08128i	−0.100729	+	0.0647346i
$280$	−0.849122	−	5.90578i	−0.0507448	−	0.352938i
$281$	−8.09150	−	17.7179i	−0.482698	−	1.05696i	−0.981713	−	0.190368i	$-0.939032\pi$
$281$	−8.09150	−	17.7179i	−0.482698	−	1.05696i	0.499015	−	0.866594i	$-0.333695\pi$
$282$	−0.209939	+	1.46015i	−0.0125017	+	0.0869509i
$283$	8.09273	−	2.37624i	0.481063	−	0.141253i	−0.0322048	−	0.999481i	$-0.510253\pi$
$283$	8.09273	−	2.37624i	0.481063	−	0.141253i	0.513268	+	0.858228i	$0.328435\pi$
$284$	−4.93822	−	3.17360i	−0.293030	−	0.188319i
$285$	0.714794	−	1.56518i	0.0423407	−	0.0927133i
$286$	−3.70509	−	1.08791i	−0.219087	−	0.0643297i
$287$	7.02200	+	8.10382i	0.414495	+	0.478353i
$288$	−1.42796	−	1.64795i	−0.0841434	−	0.0971067i
$289$	15.3519	+	4.50772i	0.903052	+	0.265160i
$290$	−0.184368	+	0.403709i	−0.0108265	+	0.0237066i
$291$	5.50004	+	3.53466i	0.322418	+	0.207205i
$292$	3.78831	−	1.11235i	0.221694	−	0.0650953i
$293$	2.82841	−	19.6720i	0.165237	−	1.14925i	−0.723329	−	0.690504i	$-0.757389\pi$
$293$	2.82841	−	19.6720i	0.165237	−	1.14925i	0.888566	−	0.458748i	$-0.151702\pi$
$294$	−0.642315	−	1.40647i	−0.0374606	−	0.0820272i
$295$	−4.08042	−	28.3800i	−0.237571	−	1.65234i
$296$	−13.4208	+	8.62502i	−0.780068	+	0.501319i
$297$	1.41542	−	1.63348i	0.0821307	−	0.0947839i
$298$	15.1565			0.877995
$299$	0.716028	+	5.49496i	0.0414089	+	0.317782i
$300$	0.292980			0.0169152
$301$	0.225794	−	0.260580i	0.0130145	−	0.0150196i
$302$	−7.31578	+	4.70157i	−0.420976	+	0.270545i
$303$	1.68230	+	11.7007i	0.0966456	+	0.672185i
$304$	−1.37982	−	3.02138i	−0.0791380	−	0.173288i
$305$	1.66248	−	11.5628i	0.0951936	−	0.662086i
$306$	−1.48357	+	0.435615i	−0.0848100	+	0.0249025i
$307$	8.63988	+	5.55251i	0.493104	+	0.316899i	0.763453	−	0.645864i	$-0.223503\pi$
$307$	8.63988	+	5.55251i	0.493104	+	0.316899i	−0.270349	+	0.962762i	$0.587139\pi$
$308$	−0.350833	+	0.768216i	−0.0199905	+	0.0437732i
$309$	0.941470	+	0.276441i	0.0535584	+	0.0157262i
$310$	−4.85592	−	5.60403i	−0.275798	−	0.318288i
$311$	−3.65314	−	4.21595i	−0.207151	−	0.239065i	0.642661	−	0.766150i	$-0.277830\pi$
$311$	−3.65314	−	4.21595i	−0.207151	−	0.239065i	−0.849812	+	0.527085i	$0.823285\pi$
$312$	−2.75862	−	0.810004i	−0.156176	−	0.0458574i
$313$	8.02415	−	17.5704i	0.453552	−	0.993140i	−0.535358	−	0.844625i	$-0.679823\pi$
$313$	8.02415	−	17.5704i	0.453552	−	0.993140i	0.988910	−	0.148515i	$-0.0474493\pi$
$314$	12.4780	+	8.01912i	0.704174	+	0.452545i
$315$	−2.30075	+	0.675560i	−0.129632	+	0.0380635i
$316$	0.429901	−	2.99003i	0.0241838	−	0.168202i
$317$	10.5775	+	23.1614i	0.594090	+	1.30088i	0.932939	+	0.360035i	$0.117235\pi$
$317$	10.5775	+	23.1614i	0.594090	+	1.30088i	−0.338849	+	0.940841i	$0.610038\pi$
$318$	0.202303	+	1.40705i	0.0113446	+	0.0789032i
$319$	−0.217657	+	0.139880i	−0.0121864	+	0.00783175i
$320$	−9.24267	+	10.6666i	−0.516681	+	0.596282i
$321$	−6.33031			−0.353324
$322$	7.41467	+	0.0980535i	0.413203	+	0.00546431i
$323$	−0.717582			−0.0399273
$324$	−0.255877	+	0.295298i	−0.0142154	+	0.0164055i
$325$	0.728850	−	0.468404i	0.0404293	−	0.0259824i
$326$	−3.08039	−	21.4246i	−0.170607	−	1.18660i
$327$	7.47213	+	16.3617i	0.413210	+	0.904803i
$328$	3.79713	−	26.4096i	0.209661	−	1.45823i
$329$	0.915415	−	0.268790i	0.0504685	−	0.0148189i
$330$	6.74147	+	4.33248i	0.371106	+	0.238495i
$331$	5.83632	−	12.7798i	0.320793	−	0.702439i	−0.678695	−	0.734420i	$-0.737454\pi$
$331$	5.83632	−	12.7798i	0.320793	−	0.702439i	0.999488	+	0.0319809i	$0.0101816\pi$
$332$	−1.61124	−	0.473104i	−0.0884285	−	0.0259650i
$333$	4.19862	+	4.84547i	0.230083	+	0.265530i
$334$	−12.7536	−	14.7185i	−0.697848	−	0.805360i
$335$	1.15400	+	0.338845i	0.0630497	+	0.0185131i
$336$	−1.92287	+	4.21050i	−0.104901	+	0.229702i
$337$	6.88706	+	4.42605i	0.375162	+	0.241102i	0.714611	−	0.699523i	$-0.246604\pi$
$337$	6.88706	+	4.42605i	0.375162	+	0.241102i	−0.339448	+	0.940625i	$0.610240\pi$
$338$	−17.3057	+	5.08141i	−0.941305	+	0.276392i
$339$	1.72041	−	11.9657i	0.0934396	−	0.649887i
$340$	−0.389217	−	0.852267i	−0.0211083	−	0.0462207i
$341$	−0.615198	−	4.27880i	−0.0333148	−	0.231710i
$342$	−0.933393	+	0.599855i	−0.0504721	+	0.0324364i
$343$	−0.654861	+	0.755750i	−0.0353592	+	0.0408066i
$344$	−0.857939			−0.0462570
$345$	1.78697	−	11.3601i	0.0962071	−	0.611609i
$346$	−27.8808			−1.49888
$347$	−4.29757	+	4.95966i	−0.230705	+	0.266248i	−0.859285	−	0.511497i	$-0.829091\pi$
$347$	−4.29757	+	4.95966i	−0.230705	+	0.266248i	0.628580	+	0.777745i	$0.283637\pi$
$348$	0.0393478	−	0.0252873i	0.00210926	−	0.00135554i
$349$	1.92611	+	13.3964i	0.103102	+	0.717091i	0.974151	+	0.225896i	$0.0725309\pi$
$349$	1.92611	+	13.3964i	0.103102	+	0.717091i	−0.871049	+	0.491196i	$0.836560\pi$
$350$	−0.481618	−	1.05460i	−0.0257436	−	0.0563705i
$351$	−0.164440	+	1.14370i	−0.00877715	+	0.0610464i
$352$	4.52214	−	1.32782i	0.241031	−	0.0707731i
$353$	−4.22986	−	2.71836i	−0.225133	−	0.144684i	0.423213	−	0.906030i	$-0.360902\pi$
$353$	−4.22986	−	2.71836i	−0.225133	−	0.144684i	−0.648345	+	0.761346i	$0.724539\pi$
$354$	−7.68026	+	16.8174i	−0.408201	+	0.893836i
$355$	34.5645	+	10.1490i	1.83449	+	0.538655i
$356$	2.33232	+	2.69165i	0.123613	+	0.142657i
$357$	0.654861	+	0.755750i	0.0346589	+	0.0399985i
$358$	2.88062	+	0.845828i	0.152246	+	0.0447034i
$359$	−11.4261	+	25.0196i	−0.603044	+	1.32048i	0.324187	+	0.945993i	$0.394909\pi$
$359$	−11.4261	+	25.0196i	−0.603044	+	1.32048i	−0.927231	+	0.374489i	$0.877818\pi$
$360$	5.01935	+	3.22574i	0.264543	+	0.170011i
$361$	17.7363	−	5.20785i	0.933489	−	0.274097i
$362$	−3.02177	+	21.0169i	−0.158821	+	1.10462i
$363$	−2.62889	−	5.75648i	−0.137981	−	0.302137i
$364$	−0.0642525	−	0.446886i	−0.00336774	−	0.0234232i
$365$	−20.3833	+	13.0996i	−1.06691	+	0.685663i
$366$	−4.93282	+	5.69278i	−0.257843	+	0.297566i
$367$	17.2258			0.899177			0.449589	−	0.893236i	$-0.351571\pi$
$367$	17.2258			0.899177			0.449589	+	0.893236i	$0.351571\pi$
$368$	−14.3141	−	16.9676i	−0.746174	−	0.884497i
$369$	−10.7229			−0.558211
$370$	−15.5668	+	17.9651i	−0.809280	+	0.933959i
$371$	0.773415	−	0.497044i	0.0401537	−	0.0258052i
$372$	0.111215	+	0.773517i	0.00576623	+	0.0401050i
$373$	12.6400	+	27.6777i	0.654473	+	1.43310i	0.887584	+	0.460646i	$0.152382\pi$
$373$	12.6400	+	27.6777i	0.654473	+	1.43310i	−0.233110	+	0.972450i	$0.574890\pi$
$374$	0.475610	−	3.30794i	0.0245932	−	0.171049i
$375$	9.77860	−	2.87125i	0.504965	−	0.148271i
$376$	−1.99708	−	1.28345i	−0.102992	−	0.0661888i
$377$	0.0574578	−	0.125815i	0.00295923	−	0.00647981i
$378$	1.48357	+	0.435615i	0.0763065	+	0.0224056i
$379$	−7.90014	−	9.11725i	−0.405803	−	0.468322i	0.515657	−	0.856795i	$-0.327548\pi$
$379$	−7.90014	−	9.11725i	−0.405803	−	0.468322i	−0.921460	+	0.388473i	$0.873003\pi$
$380$	−0.440282	−	0.508112i	−0.0225860	−	0.0260656i
$381$	−3.95143	−	1.16025i	−0.202438	−	0.0594412i
$382$	−5.26970	+	11.5390i	−0.269621	+	0.590388i
$383$	18.2254	+	11.7127i	0.931273	+	0.598493i	0.915908	−	0.401389i	$-0.131473\pi$
$383$	18.2254	+	11.7127i	0.931273	+	0.598493i	0.0153653	+	0.999882i	$0.495109\pi$
$384$	12.9168	−	3.79270i	0.659156	−	0.193546i
$385$	0.737585	−	5.13002i	0.0375908	−	0.261450i
$386$	12.9047	+	28.2574i	0.656832	+	1.43826i
$387$	0.0490697	+	0.341287i	0.00249435	+	0.0173486i
$388$	2.14906	−	1.38112i	0.109102	−	0.0701156i
$389$	−22.6506	+	26.1402i	−1.14843	+	1.32536i	−0.210882	+	0.977512i	$0.567634\pi$
$389$	−22.6506	+	26.1402i	−1.14843	+	1.32536i	−0.937550	+	0.347850i	$0.886912\pi$
$390$	−4.28400			−0.216929
$391$	−4.61903	+	1.29018i	−0.233594	+	0.0652470i
$392$	2.48825			0.125675
$393$	−7.57220	+	8.73879i	−0.381967	+	0.440813i
$394$	−0.214272	+	0.137704i	−0.0107949	+	0.00693745i
$395$	2.63823	+	18.3493i	0.132744	+	0.923254i
$396$	−0.350833	−	0.768216i	−0.0176300	−	0.0386043i
$397$	−2.01913	+	14.0433i	−0.101337	+	0.704815i	0.874294	+	0.485397i	$0.161325\pi$
$397$	−2.01913	+	14.0433i	−0.101337	+	0.704815i	−0.975631	+	0.219418i	$0.929584\pi$
$398$	−4.99602	+	1.46696i	−0.250428	+	0.0735323i
$399$	0.603669	+	0.387954i	0.0302212	+	0.0194220i
$400$	−1.44180	+	3.15710i	−0.0720900	+	0.157855i
$401$	11.1598	+	3.27681i	0.557293	+	0.163636i	0.548237	−	0.836323i	$-0.315299\pi$
$401$	11.1598	+	3.27681i	0.557293	+	0.163636i	0.00905599	+	0.999959i	$0.497117\pi$
$402$	−0.507869	−	0.586112i	−0.0253302	−	0.0292326i
$403$	1.51334	+	1.74648i	0.0753847	+	0.0869986i
$404$	4.43178	+	1.30129i	0.220489	+	0.0647415i
$405$	0.996114	−	2.18119i	0.0494973	−	0.108384i
$406$	−0.155705	−	0.100066i	−0.00772752	−	0.00496617i
$407$	−13.2964	+	3.90418i	−0.659079	+	0.193523i
$408$	0.354114	−	2.46292i	0.0175313	−	0.121933i
$409$	−0.932899	−	2.04276i	−0.0461289	−	0.101008i	0.885164	−	0.465278i	$-0.154046\pi$
$409$	−0.932899	−	2.04276i	−0.0461289	−	0.101008i	−0.931293	+	0.364270i	$0.881318\pi$
$410$	−5.65789	−	39.3515i	−0.279423	−	1.94343i
$411$	13.4054	−	8.61513i	0.661240	−	0.424953i
$412$	0.251071	−	0.289751i	0.0123694	−	0.0142750i
$413$	11.9572			0.588373
$414$	−4.92968	+	5.53942i	−0.242280	+	0.272248i
$415$	10.3054			0.505871
$416$	−1.64996	+	1.90415i	−0.0808959	+	0.0933588i
$417$	−0.311006	+	0.199871i	−0.0152300	+	0.00978774i
$418$	−0.341289	−	2.37372i	−0.0166930	−	0.116102i
$419$	3.17040	+	6.94220i	0.154884	+	0.339149i	0.971128	−	0.238558i	$-0.0766748\pi$
$419$	3.17040	+	6.94220i	0.154884	+	0.339149i	−0.816244	+	0.577707i	$0.803948\pi$
$420$	−0.133340	+	0.927399i	−0.00650632	+	0.0452524i
$421$	−38.3283	+	11.2542i	−1.86801	+	0.548497i	−0.869499	+	0.493935i	$0.835558\pi$
$421$	−38.3283	+	11.2542i	−1.86801	+	0.548497i	−0.998510	+	0.0545625i	$0.982624\pi$
$422$	−1.46256	−	0.939927i	−0.0711961	−	0.0457549i
$423$	−0.396331	+	0.867845i	−0.0192703	+	0.0421960i
$424$	−2.19493	−	0.644490i	−0.106595	−	0.0312992i
$425$	0.491025	+	0.566673i	0.0238182	+	0.0274877i
$426$	−15.2116	−	17.5552i	−0.737006	−	0.850550i
$427$	4.67436	+	1.37252i	0.226208	+	0.0664207i
$428$	−1.02752	+	2.24995i	−0.0496671	+	0.108756i
$429$	−2.10096	−	1.35021i	−0.101435	−	0.0651886i
$430$	−1.22659	+	0.360158i	−0.0591512	+	0.0173684i
$431$	−1.62933	+	11.3323i	−0.0784822	+	0.545856i	0.912209	+	0.409726i	$0.134376\pi$
$431$	−1.62933	+	11.3323i	−0.0784822	+	0.545856i	−0.990691	+	0.136130i	$0.956533\pi$
$432$	−1.92287	−	4.21050i	−0.0925142	−	0.202578i
$433$	2.65578	+	18.4713i	0.127629	+	0.887676i	0.948548	+	0.316632i	$0.102552\pi$
$433$	2.65578	+	18.4713i	0.127629	+	0.887676i	−0.820920	+	0.571043i	$0.806539\pi$
$434$	2.60149	−	1.67188i	0.124876	−	0.0802527i
$435$	−0.187969	+	0.216928i	−0.00901243	+	0.0104009i
$436$	7.02821			0.336590
$437$	−2.91944	+	1.82212i	−0.139656	+	0.0871638i
$438$	15.6238			0.746535
$439$	17.4347	−	20.1208i	0.832115	−	0.960312i	−0.167559	−	0.985862i	$-0.553588\pi$
$439$	17.4347	−	20.1208i	0.832115	−	0.960312i	0.999674	+	0.0255502i	$0.00813377\pi$
$440$	−10.8488	+	6.97210i	−0.517196	+	0.332382i
$441$	−0.142315	−	0.989821i	−0.00677690	−	0.0471344i
$442$	0.742172	+	1.62513i	0.0353015	+	0.0772996i
$443$	2.44406	−	16.9988i	0.116121	−	0.807637i	−0.845642	−	0.533751i	$-0.820782\pi$
$443$	2.44406	−	16.9988i	0.116121	−	0.807637i	0.961762	−	0.273886i	$-0.0883091\pi$
$444$	2.40371	−	0.705794i	0.114075	−	0.0334955i
$445$	−18.3870	−	11.8166i	−0.871628	−	0.560161i
$446$	16.8920	−	36.9883i	0.799860	−	1.75145i
$447$	9.40538	+	2.76167i	0.444859	+	0.130622i
$448$	−3.85452	−	4.44835i	−0.182109	−	0.210165i
$449$	−6.25053	−	7.21349i	−0.294981	−	0.340426i	0.588842	−	0.808248i	$-0.299584\pi$
$449$	−6.25053	−	7.21349i	−0.294981	−	0.340426i	−0.883822	+	0.467823i	$0.845039\pi$
$450$	1.11240	+	0.326631i	0.0524392	+	0.0153975i
$451$	9.62784	−	21.0820i	0.453357	−	0.992714i
$452$	−3.97366	−	2.55372i	−0.186905	−	0.120117i
$453$	−5.39647	+	1.58455i	−0.253548	+	0.0744485i
$454$	−2.24546	+	15.6175i	−0.105385	+	0.732966i
$455$	1.15098	+	2.52028i	0.0539585	+	0.118153i
$456$	−0.254106	−	1.76735i	−0.0118996	−	0.0827636i
$457$	−24.0543	+	15.4588i	−1.12521	+	0.723131i	−0.964556	−	0.263879i	$-0.914998\pi$
$457$	−24.0543	+	15.4588i	−1.12521	+	0.723131i	−0.160658	+	0.987010i	$0.551362\pi$
$458$	0.854154	−	0.985747i	0.0399120	−	0.0460609i
$459$	−1.00000			−0.0466760
$460$	−3.74762	−	2.47908i	−0.174734	−	0.115588i
$461$	12.7812			0.595281			0.297641	−	0.954678i	$-0.403800\pi$
$461$	12.7812			0.595281			0.297641	+	0.954678i	$0.403800\pi$
$462$	−2.18852	+	2.52568i	−0.101819	+	0.117505i
$463$	−22.0150	+	14.1482i	−1.02312	+	0.657521i	−0.940757	−	0.339082i	$-0.889884\pi$
$463$	−22.0150	+	14.1482i	−1.02312	+	0.657521i	−0.0823650	+	0.996602i	$0.526247\pi$
$464$	0.0788549	+	0.548448i	0.00366075	+	0.0254611i
$465$	−1.99223	−	4.36237i	−0.0923874	−	0.202300i
$466$	2.91576	−	20.2795i	0.135070	−	0.939431i
$467$	−29.8856	+	8.77520i	−1.38294	+	0.406068i	−0.886791	−	0.462170i	$-0.847071\pi$
$467$	−29.8856	+	8.77520i	−1.38294	+	0.406068i	−0.496148	+	0.868238i	$0.665253\pi$
$468$	0.379810	+	0.244089i	0.0175567	+	0.0112830i
$469$	−0.208362	+	0.456250i	−0.00962128	+	0.0210677i
$470$	−3.39399	−	0.996566i	−0.156553	−	0.0459682i
$471$	6.28205	+	7.24987i	0.289461	+	0.334056i
$472$	−19.4836	−	22.4853i	−0.896807	−	1.03497i
$473$	−0.715056	−	0.209959i	−0.0328783	−	0.00965394i
$474$	4.96574	−	10.8734i	0.228084	−	0.499434i
$475$	0.452640	+	0.290894i	0.0207686	+	0.0133471i
$476$	0.374908	−	0.110083i	0.0171839	−	0.00504564i
$477$	−0.130839	+	0.910002i	−0.00599069	+	0.0416661i
$478$	−0.255391	−	0.559227i	−0.0116813	−	0.0255785i
$479$	−2.59007	−	18.0143i	−0.118343	−	0.823095i	−0.959380	−	0.282117i	$-0.908963\pi$
$479$	−2.59007	−	18.0143i	−0.118343	−	0.823095i	0.841037	−	0.540978i	$-0.181946\pi$
$480$	4.39867	−	2.82685i	0.200771	−	0.129028i
$481$	4.85136	−	5.59877i	0.221203	−	0.255282i
$482$	−17.7651			−0.809177
$483$	4.58330	+	1.41187i	0.208547	+	0.0642423i
$484$	−2.47271			−0.112396
$485$	−10.2663	+	11.8480i	−0.466169	+	0.537988i
$486$	−1.30075	+	0.835939i	−0.0590031	+	0.0379190i
$487$	6.06013	+	42.1491i	0.274611	+	1.90996i	0.397612	+	0.917554i	$0.369839\pi$
$487$	6.06013	+	42.1491i	0.274611	+	1.90996i	−0.123001	+	0.992407i	$0.539252\pi$
$488$	−5.03565	−	11.0265i	−0.227953	−	0.499148i
$489$	1.99223	−	13.8563i	0.0900919	−	0.626603i
$490$	3.55742	−	1.04455i	0.160708	−	0.0471880i
$491$	−18.4980	−	11.8879i	−0.834801	−	0.536494i	0.0519991	−	0.998647i	$-0.483441\pi$
$491$	−18.4980	−	11.8879i	−0.834801	−	0.536494i	−0.886800	+	0.462153i	$0.847077\pi$
$492$	−1.74051	+	3.81119i	−0.0784683	+	0.171822i
$493$	0.114856	+	0.0337246i	0.00517284	+	0.00151888i
$494$	0.839543	+	0.968885i	0.0377728	+	0.0435922i
$495$	3.39399	+	3.91688i	0.152549	+	0.176050i
$496$	−8.88260	−	2.60817i	−0.398840	−	0.117110i
$497$	−6.24084	+	13.6655i	−0.279940	+	0.612983i
$498$	−5.59023	−	3.59262i	−0.250504	−	0.160989i
$499$	−5.40726	+	1.58771i	−0.242062	+	0.0710758i	−0.400513	−	0.916291i	$-0.631168\pi$
$499$	−5.40726	+	1.58771i	−0.242062	+	0.0710758i	0.158451	+	0.987367i	$0.449350\pi$
$500$	0.566719	−	3.94162i	0.0253444	−	0.176274i
$501$	−5.23241	−	11.4574i	−0.233767	−	0.511878i
$502$	−4.90658	−	34.1260i	−0.218991	−	1.52312i
$503$	24.5262	−	15.7620i	1.09357	−	0.702793i	0.135915	−	0.990720i	$-0.456603\pi$
$503$	24.5262	−	15.7620i	1.09357	−	0.702793i	0.957652	+	0.287927i	$0.0929662\pi$
$504$	−1.62945	+	1.88049i	−0.0725817	+	0.0837637i
$505$	−28.3452			−1.26135
$506$	−6.46468	−	14.6659i	−0.287390	−	0.651977i
$507$	−11.6649			−0.518056
$508$	−1.05377	+	1.21611i	−0.0467533	+	0.0539562i
$509$	−6.43363	+	4.13464i	−0.285165	+	0.183265i	−0.675402	−	0.737450i	$-0.736030\pi$
$509$	−6.43363	+	4.13464i	−0.285165	+	0.183265i	0.390236	+	0.920715i	$0.372393\pi$
$510$	−0.527646	−	3.66986i	−0.0233646	−	0.162504i
$511$	−4.19762	−	9.19151i	−0.185692	−	0.406609i
$512$	−1.84181	+	12.8101i	−0.0813973	+	0.566131i
$513$	−0.688515	+	0.202166i	−0.0303987	+	0.00892586i
$514$	11.7917	+	7.57808i	0.520111	+	0.334255i
$515$	−0.977403	+	2.14021i	−0.0430695	+	0.0943091i
$516$	0.129267	+	0.0379562i	0.00569066	+	0.00167093i
$517$	−1.35039	−	1.55844i	−0.0593902	−	0.0685399i
$518$	−6.49191	−	7.49207i	−0.285238	−	0.329183i
$519$	−17.3014	−	5.08014i	−0.759446	−	0.222994i
$520$	2.86391	−	6.27108i	0.125591	−	0.275005i
$521$	23.5955	+	15.1639i	1.03374	+	0.664344i	0.943431	−	0.331570i	$-0.107578\pi$
$521$	23.5955	+	15.1639i	1.03374	+	0.664344i	0.0903090	+	0.995914i	$0.471215\pi$
$522$	0.177590	−	0.0521451i	0.00777289	−	0.00228233i
$523$	0.0704775	−	0.490182i	0.00308177	−	0.0214342i	−0.988223	−	0.153024i	$-0.951099\pi$
$523$	0.0704775	−	0.490182i	0.00308177	−	0.0214342i	0.991304	+	0.131589i	$0.0420080\pi$
$524$	1.87689	+	4.10981i	0.0819922	+	0.179538i
$525$	−0.106710	−	0.742184i	−0.00465720	−	0.0323916i
$526$	12.2085	−	7.84593i	0.532316	−	0.342099i
$527$	−1.30972	+	1.51150i	−0.0570524	+	0.0658419i
$528$	10.0047			0.435398
$529$	−15.5162	+	16.9779i	−0.674617	+	0.738168i
$530$	−3.40862			−0.148061
$531$	−7.83027	+	9.03661i	−0.339805	+	0.392156i
$532$	0.235875	−	0.151588i	0.0102265	−	0.00657215i
$533$	1.76327	+	12.2638i	0.0763757	+	0.531204i
$534$	5.85471	+	12.8200i	0.253358	+	0.554776i
$535$	2.16024	−	15.0248i	0.0933954	−	0.649579i
$536$	1.19749	−	0.351615i	0.0517237	−	0.0151874i
$537$	1.63345	+	1.04976i	0.0704886	+	0.0453003i
$538$	−20.4202	+	44.7140i	−0.880378	+	1.92776i
$539$	2.07385	+	0.608936i	0.0893269	+	0.0262287i
$540$	−0.613563	−	0.708089i	−0.0264035	−	0.0304713i
$541$	1.35675	+	1.56578i	0.0583314	+	0.0673181i	0.784165	−	0.620552i	$-0.213091\pi$
$541$	1.35675	+	1.56578i	0.0583314	+	0.0673181i	−0.725834	+	0.687870i	$0.758546\pi$
$542$	43.5964	+	12.8011i	1.87263	+	0.549853i
$543$	−5.70464	+	12.4914i	−0.244809	+	0.536058i
$544$	−1.83440	−	1.17890i	−0.0786493	−	0.0505448i
$545$	−41.3839	+	12.1514i	−1.77269	+	0.520509i
$546$	0.254257	−	1.76840i	0.0108812	−	0.0756803i
$547$	−6.39848	−	14.0107i	−0.273579	−	0.599055i	0.722113	−	0.691775i	$-0.243171\pi$
$547$	−6.39848	−	14.0107i	−0.273579	−	0.599055i	−0.995692	+	0.0927204i	$0.970444\pi$
$548$	−0.886107	−	6.16301i	−0.0378526	−	0.263271i
$549$	−4.09833	+	2.63384i	−0.174913	+	0.112410i
$550$	−1.64098	+	1.89380i	−0.0699718	+	0.0807517i
$551$	0.0858978			0.00365937
$552$	−4.81326	−	10.9194i	−0.204866	−	0.464762i
$553$	−7.73100			−0.328756
$554$	−2.24272	+	2.58823i	−0.0952840	+	0.109964i
$555$	−12.9334	+	8.31178i	−0.548991	+	0.352815i
$556$	0.0205577	+	0.142982i	0.000871841	+	0.00606379i
$557$	7.80265	+	17.0854i	0.330609	+	0.723933i	0.999817	−	0.0191426i	$-0.00609365\pi$
$557$	7.80265	+	17.0854i	0.330609	+	0.723933i	−0.669208	+	0.743075i	$0.733366\pi$
$558$	−0.440095	+	3.06092i	−0.0186307	+	0.129579i
$559$	0.382262	−	0.112242i	0.0161680	−	0.00474735i
$560$	−9.33731	−	6.00073i	−0.394574	−	0.253577i
$561$	0.897877	−	1.96608i	0.0379084	−	0.0830078i
$562$	−28.8971	−	8.48495i	−1.21895	−	0.357916i
$563$	−7.32800	−	8.45697i	−0.308838	−	0.356419i	0.580019	−	0.814603i	$-0.303045\pi$
$563$	−7.32800	−	8.45697i	−0.308838	−	0.356419i	−0.888857	+	0.458185i	$0.848500\pi$
$564$	0.244123	+	0.281733i	0.0102794	+	0.0118631i
$565$	27.8131	+	8.16667i	1.17011	+	0.343574i
$566$	5.41753	−	11.8627i	0.227716	−	0.498628i
$567$	0.841254	+	0.540641i	0.0353293	+	0.0227048i
$568$	35.8671	−	10.5315i	1.50495	−	0.441893i
$569$	−4.41634	+	30.7163i	−0.185143	+	1.28770i	0.659231	+	0.751941i	$0.270882\pi$
$569$	−4.41634	+	30.7163i	−0.185143	+	1.28770i	−0.844373	+	0.535755i	$0.820027\pi$
$570$	−1.10521	−	2.42008i	−0.0462923	−	0.101366i
$571$	−2.55937	−	17.8008i	−0.107106	−	0.744942i	−0.970620	−	0.240617i	$-0.922650\pi$
$571$	−2.55937	−	17.8008i	−0.107106	−	0.744942i	0.863514	−	0.504325i	$-0.168259\pi$
$572$	−0.820921	+	0.527574i	−0.0343244	+	0.0220590i
$573$	−5.37262	+	6.20034i	−0.224445	+	0.259023i
$574$	16.5797			0.692025
$575$	3.43663	+	1.05864i	0.143317	+	0.0441485i
$576$	5.88602			0.245251
$577$	17.2878	−	19.9511i	0.719699	−	0.830577i	−0.271572	−	0.962418i	$-0.587544\pi$
$577$	17.2878	−	19.9511i	0.719699	−	0.830577i	0.991271	+	0.131841i	$0.0420890\pi$
$578$	20.8119	−	13.3750i	0.865663	−	0.556328i
$579$	2.85924	+	19.8864i	0.118826	+	0.826452i
$580$	0.0465910	+	0.102020i	0.00193459	+	0.00423616i
$581$	−0.611627	+	4.25396i	−0.0253746	+	0.176484i
$582$	9.69943	−	2.84801i	0.402054	−	0.118054i
$583$	−1.67166	−	1.07431i	−0.0692330	−	0.0444933i
$584$	−10.4447	+	22.8707i	−0.432206	+	0.946398i
$585$	−2.65843	−	0.780586i	−0.109913	−	0.0322733i
$586$	−20.1237	−	23.2239i	−0.831301	−	0.959372i
$587$	28.1844	+	32.5265i	1.16329	+	1.34251i	0.928882	+	0.370376i	$0.120771\pi$
$587$	28.1844	+	32.5265i	1.16329	+	1.34251i	0.234413	+	0.972137i	$0.424683\pi$
$588$	−0.374908	−	0.110083i	−0.0154609	−	0.00453974i
$589$	−0.596189	+	1.30547i	−0.0245655	+	0.0537910i
$590$	−37.2947	−	23.9679i	−1.53540	−	0.986741i
$591$	−0.158057	+	0.0464099i	−0.00650162	+	0.00190905i
$592$	−4.22354	+	29.3753i	−0.173586	+	1.20732i
$593$	0.642092	+	1.40599i	0.0263676	+	0.0577369i	0.922358	−	0.386337i	$-0.126260\pi$
$593$	0.642092	+	1.40599i	0.0263676	+	0.0577369i	−0.895990	+	0.444074i	$0.853533\pi$
$594$	−0.475610	−	3.30794i	−0.0195145	−	0.135726i
$595$	−2.01722	+	1.29639i	−0.0826981	+	0.0531468i
$596$	2.50822	−	2.89464i	0.102741	−	0.118569i
$597$	−3.36757			−0.137825
$598$	7.14609	+	4.72719i	0.292225	+	0.193309i
$599$	1.06313			0.0434382			0.0217191	−	0.999764i	$-0.493086\pi$
$599$	1.06313			0.0434382			0.0217191	+	0.999764i	$0.493086\pi$
$600$	−1.22179	+	1.41002i	−0.0498794	+	0.0575639i
$601$	−41.1675	+	26.4568i	−1.67926	+	1.07919i	−0.806048	+	0.591850i	$0.798398\pi$
$601$	−41.1675	+	26.4568i	−1.67926	+	1.07919i	−0.873210	+	0.487344i	$0.837966\pi$
$602$	−0.0758716	−	0.527698i	−0.00309229	−	0.0215074i
$603$	−0.208362	−	0.456250i	−0.00848517	−	0.0185799i
$604$	−0.312753	+	2.17524i	−0.0127257	+	0.0885094i
$605$	14.5599	−	4.27519i	0.591946	−	0.173811i
$606$	15.3761	+	9.88161i	0.624611	+	0.401413i
$607$	−14.5512	+	31.8626i	−0.590614	+	1.29326i	0.344457	+	0.938802i	$0.388063\pi$
$607$	−14.5512	+	31.8626i	−0.590614	+	1.29326i	−0.935071	+	0.354461i	$0.884664\pi$
$608$	−1.50135	−	0.440835i	−0.0608876	−	0.0178782i
$609$	−0.0783898	−	0.0904666i	−0.00317651	−	0.00366589i
$610$	−11.8283	−	13.6506i	−0.478914	−	0.552696i
$611$	1.05773	+	0.310578i	0.0427912	+	0.0125646i
$612$	−0.162317	+	0.355426i	−0.00656129	+	0.0143672i
$613$	−1.56497	−	1.00575i	−0.0632086	−	0.0406217i	0.508655	−	0.860971i	$-0.330143\pi$
$613$	−1.56497	−	1.00575i	−0.0632086	−	0.0406217i	−0.571863	+	0.820349i	$0.693779\pi$
$614$	15.2366	−	4.47387i	0.614899	−	0.180551i
$615$	3.65922	−	25.4505i	0.147554	−	1.02626i
$616$	−2.23414	−	4.89208i	−0.0900160	−	0.197108i
$617$	−5.90341	−	41.0591i	−0.237662	−	1.65298i	−0.663498	−	0.748178i	$-0.730929\pi$
$617$	−5.90341	−	41.0591i	−0.237662	−	1.65298i	0.425835	−	0.904801i	$-0.359980\pi$
$618$	1.27631	−	0.820237i	0.0513409	−	0.0329948i
$619$	10.0747	−	11.6269i	0.404938	−	0.467324i	−0.516252	−	0.856437i	$-0.672673\pi$
$619$	10.0747	−	11.6269i	0.404938	−	0.467324i	0.921190	+	0.389113i	$0.127219\pi$
$620$	−1.87387			−0.0752565
$621$	−4.06844	+	2.53925i	−0.163261	+	0.101896i
$622$	−8.62549			−0.345851
$623$	5.96906	−	6.88866i	0.239145	−	0.275989i
$624$	−4.49937	+	2.89157i	−0.180119	+	0.115755i
$625$	4.01141	+	27.9000i	0.160456	+	1.11600i
$626$	−12.4069	−	27.1674i	−0.495881	−	1.08583i
$627$	0.220728	−	1.53519i	0.00881501	−	0.0613098i
$628$	3.59647	−	1.05602i	0.143515	−	0.0421398i
$629$	5.39368	+	3.46631i	0.215060	+	0.138211i
$630$	−1.54019	+	3.37255i	−0.0613627	+	0.134366i
$631$	26.3118	+	7.72584i	1.04746	+	0.307561i	0.759789	−	0.650170i	$-0.225302\pi$
$631$	26.3118	+	7.72584i	1.04746	+	0.307561i	0.287667	+	0.957730i	$0.407120\pi$
$632$	12.5973	+	14.5381i	0.501094	+	0.578294i
$633$	−0.736323	−	0.849763i	−0.0292662	−	0.0337750i
$634$	37.7752	+	11.0918i	1.50025	+	0.440512i
$635$	4.10225	−	8.98267i	0.162793	−	0.356466i
$636$	0.302201	+	0.194213i	0.0119830	+	0.00770103i
$637$	−1.10866	+	0.325532i	−0.0439267	+	0.0128980i
$638$	−0.0569326	+	0.395975i	−0.00225398	+	0.0156768i
$639$	−6.24084	−	13.6655i	−0.246884	−	0.540600i
$640$	4.59398	+	31.9518i	0.181593	+	1.26301i
$641$	6.75793	−	4.34306i	0.266922	−	0.171540i	−0.400333	−	0.916370i	$-0.631106\pi$
$641$	6.75793	−	4.34306i	0.266922	−	0.171540i	0.667255	+	0.744829i	$0.267469\pi$
$642$	−6.40973	+	7.39723i	−0.252972	+	0.291945i
$643$	0.601283			0.0237123			0.0118562	−	0.999930i	$-0.496226\pi$
$643$	0.601283			0.0237123			0.0118562	+	0.999930i	$0.496226\pi$
$644$	1.24576	−	1.39985i	0.0490900	−	0.0551618i
$645$	−0.826780			−0.0325544
$646$	−0.726585	+	0.838524i	−0.0285871	+	0.0329913i
$647$	38.8469	−	24.9654i	1.52723	−	0.981491i	0.536763	−	0.843733i	$-0.319647\pi$
$647$	38.8469	−	24.9654i	1.52723	−	0.981491i	0.990466	−	0.137758i	$-0.0439895\pi$
$648$	−0.354114	−	2.46292i	−0.0139109	−	0.0967526i
$649$	−10.7361	−	23.5087i	−0.421427	−	0.922797i
$650$	0.190646	−	1.32597i	0.00747775	−	0.0520089i
$651$	1.91899	−	0.563465i	0.0752110	−	0.0220839i
$652$	−4.60150	−	2.95721i	−0.180209	−	0.115813i
$653$	16.9547	−	37.1255i	0.663488	−	1.45284i	−0.215749	−	0.976449i	$-0.569219\pi$
$653$	16.9547	−	37.1255i	0.663488	−	1.45284i	0.879236	−	0.476386i	$-0.158054\pi$
$654$	26.6852	+	7.83547i	1.04347	+	0.306391i
$655$	−18.1572	−	20.9545i	−0.709461	−	0.818761i
$656$	−32.5034	−	37.5109i	−1.26904	−	1.46456i
$657$	9.69534	+	2.84681i	0.378251	+	0.111065i
$658$	0.612808	−	1.34186i	0.0238897	−	0.0523112i
$659$	29.6513	+	19.0557i	1.15505	+	0.742305i	0.970638	−	0.240544i	$-0.0773257\pi$
$659$	29.6513	+	19.0557i	1.15505	+	0.742305i	0.184412	+	0.982849i	$0.440962\pi$
$660$	1.94306	−	0.570534i	0.0756336	−	0.0222080i
$661$	−5.00247	+	34.7930i	−0.194574	+	1.35329i	0.625139	+	0.780514i	$0.285042\pi$
$661$	−5.00247	+	34.7930i	−0.194574	+	1.35329i	−0.819712	+	0.572776i	$0.805867\pi$
$662$	−9.02412	−	19.7601i	−0.350732	−	0.767997i
$663$	0.164440	+	1.14370i	0.00638631	+	0.0444178i
$664$	8.99615	−	5.78147i	0.349118	−	0.224365i
$665$	−1.12680	+	1.30040i	−0.0436955	+	0.0504273i
$666$	9.91343			0.384137
$667$	0.552919	−	0.154440i	0.0214091	−	0.00597994i
$668$	−4.92155			−0.190421
$669$	17.2219	−	19.8752i	0.665839	−	0.768419i
$670$	1.56443	−	1.00540i	0.0604393	−	0.0388420i
$671$	−1.49853	−	10.4225i	−0.0578501	−	0.402356i
$672$	0.905836	+	1.98350i	0.0349434	+	0.0765153i
$673$	−3.00312	+	20.8872i	−0.115762	+	0.805141i	0.846378	+	0.532583i	$0.178779\pi$
$673$	−3.00312	+	20.8872i	−0.115762	+	0.805141i	−0.962139	+	0.272558i	$0.912130\pi$
$674$	12.1455	−	3.56624i	0.467827	−	0.137366i
$675$	0.630785	+	0.405381i	0.0242789	+	0.0156031i
$676$	−1.89342	+	4.14600i	−0.0728237	+	0.159462i
$677$	42.1931	+	12.3890i	1.62161	+	0.476149i	0.961452	−	0.274974i	$-0.0886692\pi$
$677$	42.1931	+	12.3890i	1.62161	+	0.476149i	0.660162	+	0.751123i	$0.270487\pi$
$678$	−12.2404	−	14.1262i	−0.470090	−	0.542512i
$679$	−4.28142	−	4.94102i	−0.164306	−	0.189619i
$680$	5.72482	+	1.68096i	0.219537	+	0.0644618i
$681$	−4.23908	+	9.28229i	−0.162442	+	0.355698i
$682$	−5.62286	−	3.61359i	−0.215311	−	0.138372i
$683$	5.78620	−	1.69898i	0.221403	−	0.0650097i	−0.169150	−	0.985590i	$-0.554102\pi$
$683$	5.78620	−	1.69898i	0.221403	−	0.0650097i	0.390552	+	0.920581i	$0.372284\pi$
$684$	−0.0399029	+	0.277531i	−0.00152573	+	0.0106117i
$685$	15.8731	+	34.7573i	0.606480	+	1.32801i
$686$	0.220047	+	1.53046i	0.00840144	+	0.0584333i
$687$	0.709657	−	0.456069i	0.0270751	−	0.0174001i
$688$	−1.04515	+	1.20617i	−0.0398461	+	0.0459849i
$689$	1.06229			0.0404700
$690$	−11.4654	−	13.5908i	−0.436480	−	0.517393i
$691$	42.5930			1.62031			0.810157	−	0.586213i	$-0.199382\pi$
$691$	42.5930			1.62031			0.810157	+	0.586213i	$0.199382\pi$
$692$	−4.61393	+	5.32476i	−0.175395	+	0.202417i
$693$	−1.81828	+	1.16854i	−0.0690709	+	0.0443892i
$694$	1.44407	+	10.0438i	0.0548163	+	0.381256i
$695$	−0.368257	−	0.806370i	−0.0139688	−	0.0305874i
$696$	−0.0423891	+	0.294822i	−0.00160675	+	0.0111752i
$697$	−10.2885	+	3.02099i	−0.389706	+	0.114428i
$698$	17.6045	+	11.3137i	0.666339	+	0.428230i
$699$	5.50450	−	12.0532i	0.208199	−	0.455893i
$700$	−0.281112	−	0.0825419i	−0.0106250	−	0.00311979i
$701$	−8.87111	−	10.2378i	−0.335057	−	0.386677i	0.563072	−	0.826408i	$-0.309619\pi$
$701$	−8.87111	−	10.2378i	−0.335057	−	0.386677i	−0.898130	+	0.439731i	$0.855074\pi$
$702$	1.16996	+	1.35021i	0.0441573	+	0.0509603i
$703$	4.41440	+	1.29618i	0.166492	+	0.0488865i
$704$	−5.28492	+	11.5724i	−0.199183	+	0.436150i
$705$	−1.92455	−	1.23684i	−0.0724829	−	0.0465819i
$706$	−7.45944	+	2.19029i	−0.280740	+	0.0824326i
$707$	1.68230	−	11.7007i	0.0632694	−	0.440048i
$708$	1.94085	+	4.24988i	0.0729418	+	0.159720i
$709$	−4.28298	−	29.7888i	−0.160851	−	1.11874i	−0.897035	−	0.441960i	$-0.854283\pi$
$709$	−4.28298	−	29.7888i	−0.160851	−	1.11874i	0.736184	−	0.676781i	$-0.236626\pi$
$710$	46.8577	−	30.1136i	1.75854	−	1.13014i
$711$	5.06273	−	5.84270i	0.189867	−	0.219118i
$712$	−22.6804			−0.849983
$713$	−1.49046	+	9.47515i	−0.0558181	+	0.354847i
$714$	1.54620			0.0578651
$715$	3.92164	−	4.52581i	0.146661	−	0.169256i
$716$	0.638247	−	0.410177i	0.0238524	−	0.0153290i
$717$	−0.0565858	−	0.393563i	−0.00211323	−	0.0146979i
$718$	17.6670	+	38.6853i	0.659325	+	1.44372i
$719$	1.88681	−	13.1230i	0.0703660	−	0.489407i	−0.923914	−	0.382601i	$-0.875029\pi$
$719$	1.88681	−	13.1230i	0.0703660	−	0.489407i	0.994280	−	0.106806i	$-0.0340624\pi$
$720$	10.6497	−	3.12703i	0.396890	−	0.116538i
$721$	−0.825452	−	0.530485i	−0.0307414	−	0.0197563i
$722$	11.8732	−	25.9988i	0.441876	−	0.967574i
$723$	−11.0241	−	3.23697i	−0.409990	−	0.120384i
$724$	3.51380	+	4.05515i	0.130590	+	0.150708i
$725$	−0.0587779	−	0.0678333i	−0.00218296	−	0.00251927i
$726$	−9.38855	−	2.75673i	−0.348442	−	0.102312i
$727$	−2.11470	+	4.63055i	−0.0784299	+	0.171737i	−0.944785	−	0.327691i	$-0.893729\pi$
$727$	−2.11470	+	4.63055i	−0.0784299	+	0.171737i	0.866355	+	0.499429i	$0.166457\pi$
$728$	2.41867	+	1.55439i	0.0896419	+	0.0576094i
$729$	−0.959493	+	0.281733i	−0.0355368	+	0.0104345i
$730$	−5.33168	+	37.0827i	−0.197334	+	1.37249i
$731$	0.143234	+	0.313638i	0.00529769	+	0.0116003i
$732$	0.270903	+	1.88417i	0.0100129	+	0.0696410i
$733$	−8.89554	+	5.71682i	−0.328564	+	0.211155i	−0.694514	−	0.719479i	$-0.744381\pi$
$733$	−8.89554	+	5.71682i	−0.328564	+	0.211155i	0.365950	+	0.930635i	$0.380744\pi$
$734$	17.4419	−	20.1290i	0.643791	−	0.742975i
$735$	2.39788			0.0884470
$736$	−10.4567	−	0.138282i	−0.385438	−	0.00509713i
$737$	1.08411			0.0399336
$738$	−10.8574	+	12.5301i	−0.399667	+	0.461240i
$739$	−17.5039	+	11.2491i	−0.643890	+	0.413803i	−0.821429	−	0.570311i	$-0.806823\pi$
$739$	−17.5039	+	11.2491i	−0.643890	+	0.413803i	0.177539	+	0.984114i	$0.443186\pi$
$740$	0.854905	+	5.94600i	0.0314269	+	0.218579i
$741$	0.344438	+	0.754213i	0.0126532	+	0.0277067i
$742$	0.202303	−	1.40705i	0.00742676	−	0.0516543i
$743$	19.6221	−	5.76158i	0.719866	−	0.211372i	0.0987747	−	0.995110i	$-0.468508\pi$
$743$	19.6221	−	5.76158i	0.719866	−	0.211372i	0.621092	+	0.783738i	$0.286690\pi$
$744$	−4.18649	−	2.69049i	−0.153484	−	0.0986383i
$745$	−9.76436	+	21.3810i	−0.357738	+	0.783338i
$746$	45.1411	+	13.2546i	1.65273	+	0.485286i
$747$	−2.81440	−	3.24799i	−0.102973	−	0.118838i
$748$	−0.553053	−	0.638257i	−0.0202216	−	0.0233370i
$749$	6.07389	+	1.78346i	0.221935	+	0.0651660i
$750$	6.54610	−	14.3340i	0.239030	−	0.523402i
$751$	−45.0653	−	28.9617i	−1.64446	−	1.05683i	−0.936557	−	0.350516i	$-0.886006\pi$
$751$	−45.0653	−	28.9617i	−1.64446	−	1.05683i	−0.707900	−	0.706312i	$-0.750357\pi$
$752$	−4.23727	+	1.24417i	−0.154517	+	0.0453704i
$753$	3.17331	−	22.0709i	0.115642	−	0.804308i
$754$	−0.0888413	−	0.194535i	−0.00323541	−	0.00708456i
$755$	−1.91931	−	13.3491i	−0.0698509	−	0.485824i
$756$	0.328708	−	0.211248i	0.0119550	−	0.00768300i
$757$	26.4137	−	30.4830i	0.960022	−	1.10792i	−0.0340735	−	0.999419i	$-0.510848\pi$
$757$	26.4137	−	30.4830i	0.960022	−	1.10792i	0.994096	−	0.108506i	$-0.0346065\pi$
$758$	−18.6531			−0.677512
$759$	−1.33939	−	10.2788i	−0.0486169	−	0.373097i
$760$	4.28146			0.155305
$761$	24.5511	−	28.3335i	0.889976	−	1.02709i	−0.109476	−	0.993989i	$-0.534917\pi$
$761$	24.5511	−	28.3335i	0.889976	−	1.02709i	0.999452	−	0.0330979i	$-0.0105373\pi$
$762$	−5.35680	+	3.44261i	−0.194056	+	0.124712i
$763$	−2.55984	−	17.8041i	−0.0926723	−	0.644550i
$764$	1.33169	+	2.91599i	0.0481788	+	0.105497i
$765$	0.341254	−	2.37347i	0.0123380	−	0.0858130i
$766$	32.1408	−	9.43740i	1.16130	−	0.340987i
$767$	11.6228	+	7.46953i	0.419676	+	0.269709i
$768$	3.75661	−	8.22583i	0.135555	−	0.296824i
$769$	−23.6072	−	6.93169i	−0.851297	−	0.249963i	−0.173155	−	0.984895i	$-0.555396\pi$
$769$	−23.6072	−	6.93169i	−0.851297	−	0.249963i	−0.678141	+	0.734931i	$0.737214\pi$
$770$	−5.24779	−	6.05627i	−0.189117	−	0.218253i
$771$	5.93654	+	6.85114i	0.213799	+	0.246738i
$772$	7.53225	+	2.21167i	0.271092	+	0.0795997i
$773$	2.22028	−	4.86173i	0.0798578	−	0.174864i	−0.865491	−	0.500924i	$-0.832994\pi$
$773$	2.22028	−	4.86173i	0.0798578	−	0.174864i	0.945349	+	0.326059i	$0.105721\pi$
$774$	0.448493	+	0.288229i	0.0161208	+	0.0103602i
$775$	1.43889	−	0.422495i	0.0516863	−	0.0151765i
$776$	−2.31517	+	16.1023i	−0.0831096	+	0.578040i
$777$	−2.66342	−	5.83208i	−0.0955498	−	0.209225i
$778$	7.61109	+	52.9363i	0.272871	+	1.89786i
$779$	−6.47307	+	4.15999i	−0.231922	+	0.149047i
$780$	−0.708950	+	0.818172i	−0.0253845	+	0.0292952i
$781$	32.4710			1.16190
$782$	−3.16936	+	6.70389i	−0.113336	+	0.239730i
$783$	0.119704			0.00427789
$784$	3.03122	−	3.49821i	0.108258	−	0.124936i
$785$	−19.3511	+	12.4362i	−0.690671	+	0.443867i
$786$	2.54442	+	17.6968i	0.0907565	+	0.631225i
$787$	−4.73481	−	10.3678i	−0.168778	−	0.369572i	0.806276	−	0.591539i	$-0.201479\pi$
$787$	−4.73481	−	10.3678i	−0.168778	−	0.369572i	−0.975054	+	0.221967i	$0.928752\pi$
$788$	−0.00916023	+	0.0637108i	−0.000326320	+	0.00226960i
$789$	9.00558	−	2.64428i	0.320607	−	0.0941388i
$790$	24.1132	+	15.4966i	0.857910	+	0.551345i
$791$	−5.02184	+	10.9963i	−0.178556	+	0.390983i
$792$	5.16024	+	1.51518i	0.183361	+	0.0538397i
$793$	3.68626	+	4.25417i	0.130903	+	0.151070i
$794$	14.3657	+	16.5790i	0.509821	+	0.588365i
$795$	−2.11521	−	0.621083i	−0.0750189	−	0.0220275i
$796$	−0.546615	+	1.19692i	−0.0193743	+	0.0424237i
$797$	11.9327	+	7.66868i	0.422678	+	0.271638i	0.734641	−	0.678456i	$-0.237350\pi$
$797$	11.9327	+	7.66868i	0.422678	+	0.271638i	−0.311964	+	0.950094i	$0.600987\pi$
$798$	1.06458	−	0.312590i	0.0376858	−	0.0110656i
$799$	−0.135777	+	0.944350i	−0.00480345	+	0.0334087i
$800$	0.679210	+	1.48726i	0.0240137	+	0.0525827i
$801$	1.29720	+	9.02223i	0.0458343	+	0.318785i
$802$	15.1289	−	9.72274i	0.534219	−	0.343322i
$803$	−14.3023	+	16.5057i	−0.504716	+	0.582474i
$804$	−0.195984			−0.00691181
$805$	−4.91510	+	10.3965i	−0.173235	+	0.366429i
$806$	3.57316			0.125859
$807$	−20.8191	+	24.0265i	−0.732866	+	0.845772i
$808$	−24.7442	+	15.9021i	−0.870498	+	0.559435i
$809$	−6.65569	−	46.2913i	−0.234001	−	1.62752i	−0.680512	−	0.732737i	$-0.738242\pi$
$809$	−6.65569	−	46.2913i	−0.234001	−	1.62752i	0.446510	−	0.894779i	$-0.352667\pi$
$810$	−1.54019	−	3.37255i	−0.0541168	−	0.118499i
$811$	1.14445	−	7.95981i	0.0401870	−	0.279507i	−0.959812	−	0.280643i	$-0.909452\pi$
$811$	1.14445	−	7.95981i	0.0401870	−	0.279507i	0.999999	+	0.00113583i	$0.000361547\pi$
$812$	−0.0448782	+	0.0131774i	−0.00157491	+	0.000462437i
$813$	24.7212	+	15.8874i	0.867012	+	0.557195i
$814$	−8.90104	+	19.4906i	−0.311981	+	0.683144i
$815$	32.2076	+	9.45701i	1.12818	+	0.331265i
$816$	−3.03122	−	3.49821i	−0.106114	−	0.122462i
$817$	0.162026	+	0.186988i	0.00566856	+	0.00654187i
$818$	−3.33166	−	0.978263i	−0.116489	−	0.0342041i
$819$	0.479997	−	1.05105i	0.0167725	−	0.0367266i
$820$	−8.45179	−	5.43163i	−0.295149	−	0.189681i
$821$	21.7535	−	6.38740i	0.759202	−	0.222922i	0.120854	−	0.992670i	$-0.461437\pi$
$821$	21.7535	−	6.38740i	0.759202	−	0.222922i	0.638347	+	0.769748i	$0.279618\pi$
$822$	3.50646	−	24.3880i	0.122302	−	0.850628i
$823$	−18.2798	−	40.0272i	−0.637194	−	1.39526i	−0.902329	−	0.431048i	$-0.858144\pi$
$823$	−18.2798	−	40.0272i	−0.637194	−	1.39526i	0.265135	−	0.964211i	$-0.414583\pi$
$824$	0.347463	+	2.41666i	0.0121044	+	0.0841882i
$825$	−1.36338	+	0.876190i	−0.0474667	+	0.0305050i
$826$	12.1072	−	13.9724i	0.421262	−	0.486162i
$827$	19.4599			0.676685			0.338343	−	0.941023i	$-0.390134\pi$
$827$	19.4599			0.676685			0.338343	+	0.941023i	$0.390134\pi$
$828$	0.242134	+	1.85819i	0.00841474	+	0.0645766i
$829$	5.71272			0.198411			0.0992054	−	0.995067i	$-0.468370\pi$
$829$	5.71272			0.198411			0.0992054	+	0.995067i	$0.468370\pi$
$830$	10.4347	−	12.0422i	0.362192	−	0.417992i
$831$	−1.86332	+	1.19748i	−0.0646378	+	0.0415402i
$832$	−0.967895	−	6.73186i	−0.0335557	−	0.233385i
$833$	−0.415415	−	0.909632i	−0.0143933	−	0.0315169i
$834$	−0.0813500	+	0.565802i	−0.00281692	+	0.0195921i
$835$	28.9793	−	8.50910i	1.00287	−	0.294469i
$836$	−0.509819	−	0.327641i	−0.0176325	−	0.0113317i
$837$	−0.830830	+	1.81926i	−0.0287177	+	0.0628830i
$838$	11.3224	+	3.32456i	0.391126	+	0.114845i
$839$	5.01958	+	5.79291i	0.173295	+	0.199993i	0.835753	−	0.549106i	$-0.185032\pi$
$839$	5.01958	+	5.79291i	0.173295	+	0.199993i	−0.662457	+	0.749100i	$0.730486\pi$
$840$	−3.90723	−	4.50919i	−0.134812	−	0.155582i
$841$	27.8115	+	8.16621i	0.959019	+	0.281593i
$842$	−25.6582	+	56.1836i	−0.884240	+	1.93622i
$843$	−16.3860	−	10.5307i	−0.564365	−	0.362695i
$844$	−0.421545	+	0.123777i	−0.0145102	+	0.00426058i
$845$	3.98069	−	27.6863i	0.136940	−	0.952438i
$846$	0.612808	+	1.34186i	0.0210688	+	0.0461342i
$847$	0.900619	+	6.26394i	0.0309456	+	0.215232i
$848$	−3.57998	+	2.30071i	−0.122937	+	0.0790068i
$849$	5.52335	−	6.37428i	0.189561	−	0.218765i
$850$	1.15937			0.0397659
$851$	30.7457	+	0.406589i	1.05395	+	0.0139377i
$852$	−5.87008			−0.201106
$853$	−23.9086	+	27.5920i	−0.818615	+	0.944733i	−0.999246	−	0.0388184i	$-0.987641\pi$
$853$	−23.9086	+	27.5920i	−0.818615	+	0.944733i	0.180631	+	0.983551i	$0.442186\pi$
$854$	6.33685	−	4.07244i	0.216842	−	0.139356i
$855$	−0.244877	−	1.70316i	−0.00837463	−	0.0582469i
$856$	−6.54336	−	14.3280i	−0.223647	−	0.489719i
$857$	0.205884	−	1.43195i	0.00703285	−	0.0489145i	−0.986003	−	0.166729i	$-0.946680\pi$
$857$	0.205884	−	1.43195i	0.00703285	−	0.0489145i	0.993036	+	0.117814i	$0.0375887\pi$
$858$	−3.70509	+	1.08791i	−0.126490	+	0.0371408i
$859$	−3.76887	−	2.42210i	−0.128592	−	0.0826411i	0.474763	−	0.880113i	$-0.342534\pi$
$859$	−3.76887	−	2.42210i	−0.128592	−	0.0826411i	−0.603355	+	0.797472i	$0.706170\pi$
$860$	−0.134201	+	0.293859i	−0.00457621	+	0.0100205i
$861$	10.2885	+	3.02099i	0.350632	+	0.102955i
$862$	11.5924	+	13.3784i	0.394840	+	0.455669i
$863$	14.1357	+	16.3135i	0.481186	+	0.555318i	0.943489	−	0.331404i	$-0.107522\pi$
$863$	14.1357	+	16.3135i	0.481186	+	0.555318i	−0.462303	+	0.886722i	$0.652977\pi$
$864$	−2.09223	−	0.614334i	−0.0711791	−	0.0209001i
$865$	17.9617	−	39.3307i	0.610717	−	1.33728i
$866$	24.2736	+	15.5997i	0.824850	+	0.530099i
$867$	15.3519	−	4.50772i	0.521377	−	0.153090i
$868$	0.111215	−	0.773517i	0.00377488	−	0.0262549i
$869$	6.94149	+	15.1997i	0.235474	+	0.515616i
$870$	0.0631616	+	0.439299i	0.00214138	+	0.0148936i
$871$	−0.487552	+	0.313330i	−0.0165201	+	0.0106168i
$872$	−29.3092	+	33.8246i	−0.992535	+	1.14545i
$873$	6.53791			0.221275
$874$	−0.826851	+	5.25646i	−0.0279686	+	0.177803i
$875$	−10.1914			−0.344533
$876$	2.58555	−	2.98389i	0.0873577	−	0.100816i
$877$	−42.7869	+	27.4975i	−1.44481	+	0.928524i	−0.445362	+	0.895350i	$0.646925\pi$
$877$	−42.7869	+	27.4975i	−1.44481	+	0.928524i	−0.999450	+	0.0331738i	$0.989439\pi$
$878$	−5.85845	−	40.7464i	−0.197713	−	1.37512i
$879$	−8.25609	−	18.0783i	−0.278471	−	0.609766i
$880$	−3.41413	+	23.7458i	−0.115090	+	0.800471i
$881$	−30.7620	+	9.03253i	−1.03640	+	0.304314i	−0.755309	−	0.655369i	$-0.772513\pi$
$881$	−30.7620	+	9.03253i	−1.03640	+	0.304314i	−0.281088	+	0.959682i	$0.590695\pi$
$882$	−1.30075	−	0.835939i	−0.0437984	−	0.0281475i
$883$	7.06573	−	15.4718i	0.237781	−	0.520667i	−0.752693	−	0.658372i	$-0.771245\pi$
$883$	7.06573	−	15.4718i	0.237781	−	0.520667i	0.990473	+	0.137705i	$0.0439726\pi$
$884$	0.433193	+	0.127197i	0.0145699	+	0.00427810i
$885$	−18.7760	−	21.6687i	−0.631149	−	0.728385i
$886$	−17.3891	−	20.0680i	−0.584197	−	0.674199i
$887$	−22.5099	−	6.60950i	−0.755808	−	0.221925i	−0.118943	−	0.992901i	$-0.537951\pi$
$887$	−22.5099	−	6.60950i	−0.755808	−	0.221925i	−0.636864	+	0.770976i	$0.719769\pi$
$888$	−6.62725	+	14.5117i	−0.222396	+	0.486979i
$889$	3.46449	+	2.22649i	0.116195	+	0.0746742i
$890$	−32.4259	+	9.52109i	−1.08692	+	0.319148i
$891$	0.307599	−	2.13940i	0.0103050	−	0.0716725i
$892$	−4.26873	−	9.34721i	−0.142928	−	0.312968i
$893$	0.0974312	+	0.677649i	0.00326041	+	0.0226767i
$894$	12.7505	−	8.19425i	0.426440	−	0.274057i
$895$	−3.04898	+	3.51871i	−0.101916	+	0.117618i
$896$	−13.4621			−0.449736
$897$	3.57316	+	4.23554i	0.119304	+	0.141421i
$898$	−14.7582			−0.492488
$899$	0.156780	−	0.180933i	0.00522889	−	0.00603446i
$900$	0.246470	−	0.158397i	0.00821567	−	0.00527989i
$901$	0.130839	+	0.910002i	0.00435887	+	0.0303166i
$902$	−14.8866	−	32.5970i	−0.495668	−	1.08536i
$903$	0.0490697	−	0.341287i	0.00163294	−	0.0113573i
$904$	28.8613	−	8.47444i	0.959912	−	0.281856i
$905$	−27.7013	−	17.8025i	−0.920821	−	0.591776i
$906$	−3.61257	+	7.91042i	−0.120020	+	0.262806i
$907$	−37.7422	−	11.0821i	−1.25321	−	0.367976i	−0.413247	−	0.910619i	$-0.635606\pi$
$907$	−37.7422	−	11.0821i	−1.25321	−	0.367976i	−0.839963	+	0.542643i	$0.817424\pi$
$908$	2.61109	+	3.01335i	0.0866519	+	0.100002i
$909$	7.74109	+	8.93370i	0.256756	+	0.296312i
$910$	4.11047	+	1.20694i	0.136261	+	0.0400097i
$911$	−20.9247	+	45.8187i	−0.693266	+	1.51804i	0.154684	+	0.987964i	$0.450564\pi$
$911$	−20.9247	+	45.8187i	−0.693266	+	1.51804i	−0.847950	+	0.530076i	$0.822163\pi$
$912$	−2.79426	−	1.79576i	−0.0925272	−	0.0594636i
$913$	8.91278	−	2.61703i	0.294970	−	0.0866110i
$914$	−6.29191	+	43.7612i	−0.208118	+	1.44749i
$915$	−4.85277	−	10.6261i	−0.160428	−	0.351287i
$916$	−0.0469088	−	0.326258i	−0.00154991	−	0.0107799i
$917$	9.72747	−	6.25147i	0.321229	−	0.206442i
$918$	−1.01255	+	1.16854i	−0.0334190	+	0.0385676i
$919$	−45.8769			−1.51334			−0.756670	−	0.653797i	$-0.773175\pi$
$919$	−45.8769			−1.51334			−0.756670	+	0.653797i	$0.773175\pi$
$920$	27.5595	−	7.69785i	0.908609	−	0.253791i
$921$	10.2702			0.338416
$922$	12.9416	−	14.9354i	0.426208	−	0.491871i
$923$	−14.6031	+	9.38483i	−0.480666	+	0.308906i
$924$	0.120190	+	0.835939i	0.00395396	+	0.0275004i
$925$	−1.99708	−	4.37299i	−0.0656635	−	0.143783i
$926$	−5.75847	+	40.0510i	−0.189235	+	1.31616i
$927$	0.941470	−	0.276441i	0.0309219	−	0.00907950i
$928$	0.219586	+	0.141119i	0.00720826	+	0.00463247i
$929$	8.42189	−	18.4414i	0.276313	−	0.605042i	−0.719696	−	0.694289i	$-0.755719\pi$
$929$	8.42189	−	18.4414i	0.276313	−	0.605042i	0.996009	+	0.0892474i	$0.0284462\pi$
$930$	−7.11483	−	2.08910i	−0.233304	−	0.0685044i
$931$	−0.469916	−	0.542313i	−0.0154009	−	0.0177736i
$932$	−3.39053	−	3.91288i	−0.111060	−	0.128171i
$933$	−5.35254	−	1.57165i	−0.175234	−	0.0514534i
$934$	−20.0064	+	43.8078i	−0.654628	+	1.43343i
$935$	4.36002	+	2.80202i	0.142588	+	0.0916357i
$936$	−2.75862	+	0.810004i	−0.0901683	+	0.0264758i
$937$	−1.72673	+	12.0097i	−0.0564099	+	0.392340i	0.941983	+	0.335662i	$0.108960\pi$
$937$	−1.72673	+	12.0097i	−0.0564099	+	0.392340i	−0.998393	+	0.0566779i	$0.981949\pi$
$938$	0.322170	+	0.705454i	0.0105192	+	0.0230339i
$939$	−2.74895	−	19.1194i	−0.0897086	−	0.623937i
$940$	−0.751992	+	0.483276i	−0.0245273	+	0.0157627i
$941$	19.2830	−	22.2538i	0.628608	−	0.725452i	−0.348710	−	0.937231i	$-0.613380\pi$
$941$	19.2830	−	22.2538i	0.628608	−	0.725452i	0.977318	+	0.211779i	$0.0679256\pi$
$942$	14.8326			0.483273
$943$	−34.1873	+	38.4158i	−1.11329	+	1.25099i
$944$	−55.3472			−1.80140
$945$	−1.57028	+	1.81219i	−0.0510811	+	0.0589507i
$946$	−0.969372	+	0.622978i	−0.0315170	+	0.0202548i
$947$	4.96987	+	34.5662i	0.161499	+	1.12325i	0.895810	+	0.444437i	$0.146596\pi$
$947$	4.96987	+	34.5662i	0.161499	+	1.12325i	−0.734311	+	0.678813i	$0.762495\pi$
$948$	−1.25488	−	2.74780i	−0.0407565	−	0.0892442i
$949$	1.66161	−	11.5567i	0.0539380	−	0.375147i
$950$	0.798241	−	0.234385i	0.0258984	−	0.00760444i
$951$	21.4203	+	13.7660i	0.694602	+	0.446394i
$952$	−1.03365	+	2.26339i	−0.0335009	+	0.0733568i
$953$	−57.5354	−	16.8939i	−1.86375	−	0.547247i	−0.998983	−	0.0450794i	$-0.985646\pi$
$953$	−57.5354	−	16.8939i	−1.86375	−	0.547247i	−0.864770	−	0.502168i	$-0.832536\pi$
$954$	0.930894	+	1.07431i	0.0301388	+	0.0347820i
$955$	−12.8829	−	14.8677i	−0.416881	−	0.481106i
$956$	−0.149067	−	0.0437700i	−0.00482117	−	0.00141562i
$957$	−0.107480	+	0.235348i	−0.00347433	+	0.00760773i
$958$	−23.6730	−	15.2137i	−0.764841	−	0.491533i
$959$	−15.2896	+	4.48942i	−0.493725	+	0.144971i
$960$	−2.00862	+	13.9703i	−0.0648281	+	0.450889i
$961$	−11.2162	−	24.5601i	−0.361813	−	0.792260i
$962$	−1.63016	−	11.3380i	−0.0525585	−	0.365553i
$963$	−5.32540	+	3.42243i	−0.171609	+	0.110286i
$964$	−2.93990	+	3.39283i	−0.0946879	+	0.109276i
$965$	−48.1756			−1.55083
$966$	6.29063	−	3.92618i	0.202398	−	0.126323i
$967$	−28.3173			−0.910622			−0.455311	−	0.890332i	$-0.650472\pi$
$967$	−28.3173			−0.910622			−0.455311	+	0.890332i	$0.650472\pi$
$968$	10.3118	−	11.9004i	0.331433	−	0.382494i
$969$	−0.603669	+	0.387954i	−0.0193926	+	0.0124629i
$970$	3.44970	+	23.9932i	0.110763	+	0.770375i
$971$	−8.95289	−	19.6041i	−0.287312	−	0.629125i	0.709855	−	0.704348i	$-0.248761\pi$
$971$	−8.95289	−	19.6041i	−0.287312	−	0.629125i	−0.997167	+	0.0752226i	$0.976033\pi$
$972$	−0.0556075	+	0.386758i	−0.00178361	+	0.0124053i
$973$	0.354718	−	0.104155i	0.0113717	−	0.00333905i
$974$	55.3891	+	35.5964i	1.77478	+	1.14058i
$975$	0.359910	−	0.788092i	0.0115263	−	0.0252392i
$976$	−21.6367	−	6.35310i	−0.692573	−	0.203358i
$977$	−17.0947	−	19.7283i	−0.546907	−	0.631164i	0.413253	−	0.910616i	$-0.364393\pi$
$977$	−17.0947	−	19.7283i	−0.546907	−	0.631164i	−0.960160	+	0.279452i	$0.909847\pi$
$978$	−14.1744	−	16.3581i	−0.453247	−	0.523075i
$979$	−18.9031	−	5.55046i	−0.604147	−	0.177393i
$980$	0.389217	−	0.852267i	0.0124331	−	0.0272247i
$981$	15.1317	+	9.72458i	0.483119	+	0.310482i
$982$	−32.6215	+	9.57855i	−1.04100	+	0.305664i
$983$	4.98696	−	34.6851i	0.159059	−	1.10628i	−0.741312	−	0.671160i	$-0.765796\pi$
$983$	4.98696	−	34.6851i	0.159059	−	1.10628i	0.900372	−	0.435122i	$-0.143295\pi$
$984$	−11.0838	−	24.2700i	−0.353337	−	0.773701i
$985$	−0.0562148	−	0.390982i	−0.00179115	−	0.0124577i
$986$	0.155705	−	0.100066i	0.00495866	−	0.00318674i
$987$	0.624777	−	0.721031i	0.0198869	−	0.0229507i
$988$	0.323975			0.0103070
$989$	1.37914	+	0.912313i	0.0438542	+	0.0290099i
$990$	8.01360			0.254689
$991$	19.4685	−	22.4679i	0.618438	−	0.713716i	−0.356972	−	0.934115i	$-0.616191\pi$
$991$	19.4685	−	22.4679i	0.618438	−	0.713716i	0.975410	+	0.220400i	$0.0707361\pi$
$992$	−3.66880	+	2.35780i	−0.116485	+	0.0748601i
$993$	−1.99943	−	13.9064i	−0.0634501	−	0.441305i
$994$	9.64959	+	21.1297i	0.306066	+	0.670192i
$995$	1.14920	−	7.99283i	0.0364319	−	0.253390i
$996$	−1.61124	+	0.473104i	−0.0510542	+	0.0149909i
$997$	−3.13259	−	2.01319i	−0.0992100	−	0.0637584i	0.490095	−	0.871669i	$-0.336962\pi$
$997$	−3.13259	−	2.01319i	−0.0992100	−	0.0637584i	−0.589305	+	0.807911i	$0.700598\pi$
$998$	−3.61979	+	7.92623i	−0.114582	+	0.250900i
$999$	6.15177	+	1.80632i	0.194633	+	0.0571495i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	483.2.q.b.85.1	✓	10
23.13	even	11	inner	483.2.q.b.358.1	yes	10

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
483.2.q.b.85.1	✓	10	1.1	even	1	trivial
483.2.q.b.358.1	yes	10	23.13	even	11	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:	\( N \)	\(=\)	\( 483 = 3 \cdot 7 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	483.q (of order \(11\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(1.01255 - 1.16854i) q^{2} +(0.841254 - 0.540641i) q^{3} +(-0.0556075 - 0.386758i) q^{4} +(0.996114 + 2.18119i) q^{5} +(0.220047 - 1.53046i) q^{6} +(-0.959493 + 0.281733i) q^{7} +(2.09325 + 1.34525i) q^{8} +(0.415415 - 0.909632i) q^{9} +O(q^{10})\)	\(q+(1.01255 - 1.16854i) q^{2} +(0.841254 - 0.540641i) q^{3} +(-0.0556075 - 0.386758i) q^{4} +(0.996114 + 2.18119i) q^{5} +(0.220047 - 1.53046i) q^{6} +(-0.959493 + 0.281733i) q^{7} +(2.09325 + 1.34525i) q^{8} +(0.415415 - 0.909632i) q^{9} +(3.55742 + 1.04455i) q^{10} +(1.41542 + 1.63348i) q^{11} +(-0.255877 - 0.295298i) q^{12} +(-1.10866 - 0.325532i) q^{13} +(-0.642315 + 1.40647i) q^{14} +(2.01722 + 1.29639i) q^{15} +(4.44130 - 1.30408i) q^{16} +(0.142315 - 0.989821i) q^{17} +(-0.642315 - 1.40647i) q^{18} +(-0.102123 - 0.710278i) q^{19} +(0.788201 - 0.506546i) q^{20} +(-0.654861 + 0.755750i) q^{21} +3.34196 q^{22} +(-1.93440 - 4.38840i) q^{23} +2.48825 q^{24} +(-0.491025 + 0.566673i) q^{25} +(-1.50297 + 0.965898i) q^{26} +(-0.142315 - 0.989821i) q^{27} +(0.162317 + 0.355426i) q^{28} +(-0.0170357 + 0.118486i) q^{29} +(3.55742 - 1.04455i) q^{30} +(-1.68251 - 1.08128i) q^{31} +(0.905836 - 1.98350i) q^{32} +(2.07385 + 0.608936i) q^{33} +(-1.01255 - 1.16854i) q^{34} +(-1.57028 - 1.81219i) q^{35} +(-0.374908 - 0.110083i) q^{36} +(-2.66342 + 5.83208i) q^{37} +(-0.933393 - 0.599855i) q^{38} +(-1.10866 + 0.325532i) q^{39} +(-0.849122 + 5.90578i) q^{40} +(-4.45445 - 9.75388i) q^{41} +(0.220047 + 1.53046i) q^{42} +(-0.290061 + 0.186411i) q^{43} +(0.553053 - 0.638257i) q^{44} +2.39788 q^{45} +(-7.08670 - 2.18304i) q^{46} -0.954061 q^{47} +(3.03122 - 3.49821i) q^{48} +(0.841254 - 0.540641i) q^{49} +(0.164995 + 1.14757i) q^{50} +(-0.415415 - 0.909632i) q^{51} +(-0.0642525 + 0.446886i) q^{52} +(-0.882120 + 0.259014i) q^{53} +(-1.30075 - 0.835939i) q^{54} +(-2.15300 + 4.71441i) q^{55} +(-2.38745 - 0.701020i) q^{56} +(-0.469916 - 0.542313i) q^{57} +(0.121206 + 0.139880i) q^{58} +(-11.4728 - 3.36872i) q^{59} +(0.389217 - 0.852267i) q^{60} +(-4.09833 - 2.63384i) q^{61} +(-2.96714 + 0.871230i) q^{62} +(-0.142315 + 0.989821i) q^{63} +(2.44514 + 5.35411i) q^{64} +(-0.394306 - 2.74246i) q^{65} +(2.81143 - 1.80680i) q^{66} +(0.328463 - 0.379066i) q^{67} -0.390736 q^{68} +(-3.99987 - 2.64594i) q^{69} -3.70760 q^{70} +(9.83807 - 11.3537i) q^{71} +(2.09325 - 1.34525i) q^{72} +(1.43804 + 10.0018i) q^{73} +(4.11819 + 9.01757i) q^{74} +(-0.106710 + 0.742184i) q^{75} +(-0.269027 + 0.0789936i) q^{76} +(-1.81828 - 1.16854i) q^{77} +(-0.742172 + 1.62513i) q^{78} +(7.41784 + 2.17807i) q^{79} +(7.26849 + 8.38828i) q^{80} +(-0.654861 - 0.755750i) q^{81} +(-15.9081 - 4.67105i) q^{82} +(1.78533 - 3.90933i) q^{83} +(0.328708 + 0.211248i) q^{84} +(2.30075 - 0.675560i) q^{85} +(-0.0758716 + 0.527698i) q^{86} +(0.0497270 + 0.108887i) q^{87} +(0.765382 + 5.32335i) q^{88} +(-7.66803 + 4.92795i) q^{89} +(2.42796 - 2.80202i) q^{90} +1.15546 q^{91} +(-1.58969 + 0.992174i) q^{92} -2.00000 q^{93} +(-0.966031 + 1.11486i) q^{94} +(1.44752 - 0.930267i) q^{95} +(-0.310326 - 2.15836i) q^{96} +(2.71594 + 5.94709i) q^{97} +(0.220047 - 1.53046i) q^{98} +(2.07385 - 0.608936i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 10 q + 5 q^{2} - q^{3} - q^{4} - 5 q^{5} - 6 q^{6} - q^{7} + 6 q^{8} - q^{9}+O(q^{10}) \) 10 * q + 5 * q^2 - q^3 - q^4 - 5 * q^5 - 6 * q^6 - q^7 + 6 * q^8 - q^9	\( 10 q + 5 q^{2} - q^{3} - q^{4} - 5 q^{5} - 6 q^{6} - q^{7} + 6 q^{8} - q^{9} + 3 q^{10} + 9 q^{11} - 12 q^{12} - 15 q^{13} - 6 q^{14} + 6 q^{15} + 5 q^{16} + q^{17} - 6 q^{18} - 19 q^{19} - 5 q^{20} - q^{21} - 12 q^{22} - 21 q^{23} + 6 q^{24} + 2 q^{25} - 13 q^{26} - q^{27} - q^{28} + 3 q^{30} + 2 q^{31} + 7 q^{32} - 2 q^{33} - 5 q^{34} - 5 q^{35} + 10 q^{36} - 27 q^{37} + 18 q^{38} - 15 q^{39} - 3 q^{40} + 10 q^{41} - 6 q^{42} + 15 q^{43} + 9 q^{44} + 6 q^{45} - 5 q^{46} - 18 q^{47} + 5 q^{48} - q^{49} + 34 q^{50} + q^{51} + 18 q^{52} + 19 q^{53} + 5 q^{54} - 21 q^{55} - 5 q^{56} + 3 q^{57} - 13 q^{59} + 6 q^{60} - 18 q^{61} - 10 q^{62} - q^{63} + 54 q^{64} + 2 q^{65} + 10 q^{66} - 18 q^{67} - 10 q^{68} + q^{69} - 8 q^{70} + 38 q^{71} + 6 q^{72} + 14 q^{73} + 14 q^{74} + 2 q^{75} + 3 q^{76} - 13 q^{77} + 9 q^{78} + 25 q^{79} + 25 q^{80} - q^{81} - 72 q^{82} - 19 q^{83} - q^{84} + 5 q^{85} + 2 q^{86} + 33 q^{87} + q^{88} - 17 q^{89} + 14 q^{90} - 4 q^{91} + 67 q^{92} - 20 q^{93} + 13 q^{94} + 37 q^{95} + 18 q^{96} - 49 q^{97} - 6 q^{98} - 2 q^{99}+O(q^{100}) \) 10 * q + 5 * q^2 - q^3 - q^4 - 5 * q^5 - 6 * q^6 - q^7 + 6 * q^8 - q^9 + 3 * q^10 + 9 * q^11 - 12 * q^12 - 15 * q^13 - 6 * q^14 + 6 * q^15 + 5 * q^16 + q^17 - 6 * q^18 - 19 * q^19 - 5 * q^20 - q^21 - 12 * q^22 - 21 * q^23 + 6 * q^24 + 2 * q^25 - 13 * q^26 - q^27 - q^28 + 3 * q^30 + 2 * q^31 + 7 * q^32 - 2 * q^33 - 5 * q^34 - 5 * q^35 + 10 * q^36 - 27 * q^37 + 18 * q^38 - 15 * q^39 - 3 * q^40 + 10 * q^41 - 6 * q^42 + 15 * q^43 + 9 * q^44 + 6 * q^45 - 5 * q^46 - 18 * q^47 + 5 * q^48 - q^49 + 34 * q^50 + q^51 + 18 * q^52 + 19 * q^53 + 5 * q^54 - 21 * q^55 - 5 * q^56 + 3 * q^57 - 13 * q^59 + 6 * q^60 - 18 * q^61 - 10 * q^62 - q^63 + 54 * q^64 + 2 * q^65 + 10 * q^66 - 18 * q^67 - 10 * q^68 + q^69 - 8 * q^70 + 38 * q^71 + 6 * q^72 + 14 * q^73 + 14 * q^74 + 2 * q^75 + 3 * q^76 - 13 * q^77 + 9 * q^78 + 25 * q^79 + 25 * q^80 - q^81 - 72 * q^82 - 19 * q^83 - q^84 + 5 * q^85 + 2 * q^86 + 33 * q^87 + q^88 - 17 * q^89 + 14 * q^90 - 4 * q^91 + 67 * q^92 - 20 * q^93 + 13 * q^94 + 37 * q^95 + 18 * q^96 - 49 * q^97 - 6 * q^98 - 2 * q^99

Introduction

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