LMFDB - Embedded newform 288.2.bc.a.13.9

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [288,2,Mod(13,288)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(288, base_ring=CyclotomicField(24))

chi = DirichletCharacter(H, H._module([0, 21, 8]))

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

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

chi := DirichletCharacter("288.13");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 288 = 2^{5} \cdot 3^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	288.bc (of order $24$, degree $8$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$2.29969157821$
Analytic rank:	$0$
Dimension:	$368$
Relative dimension:	$46$ over $\Q(\zeta_{24})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{24}]$

Embedding invariants

Embedding label			13.9
Character	$\chi$	$=$	288.13
Dual form			288.2.bc.a.133.9

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.11432 + 0.870793i) q^{2} +(-1.69615 + 0.350802i) q^{3} +(0.483439 - 1.94069i) q^{4} +(-0.153324 + 1.16461i) q^{5} +(1.58459 - 1.86791i) q^{6} +(1.36922 + 0.366881i) q^{7} +(1.15123 + 2.58354i) q^{8} +(2.75388 - 1.19003i) q^{9} +O(q^{10})$	\(q+(-1.11432 + 0.870793i) q^{2} +(-1.69615 + 0.350802i) q^{3} +(0.483439 - 1.94069i) q^{4} +(-0.153324 + 1.16461i) q^{5} +(1.58459 - 1.86791i) q^{6} +(1.36922 + 0.366881i) q^{7} +(1.15123 + 2.58354i) q^{8} +(2.75388 - 1.19003i) q^{9} +(-0.843281 - 1.43127i) q^{10} +(-1.62048 + 2.11185i) q^{11} +(-0.139188 + 3.46130i) q^{12} +(-1.57898 + 1.21160i) q^{13} +(-1.84523 + 0.783481i) q^{14} +(-0.148487 - 2.02914i) q^{15} +(-3.53257 - 1.87641i) q^{16} +2.81501i q^{17} +(-2.03244 + 3.72413i) q^{18} +(-5.51455 - 2.28420i) q^{19} +(2.18603 + 0.860572i) q^{20} +(-2.45111 - 0.141962i) q^{21} +(-0.0332437 - 3.76439i) q^{22} +(-6.75230 + 1.80927i) q^{23} +(-2.85898 - 3.97822i) q^{24} +(3.49682 + 0.936971i) q^{25} +(0.704451 - 2.72508i) q^{26} +(-4.25353 + 2.98454i) q^{27} +(1.37394 - 2.47987i) q^{28} +(-2.57705 + 0.339274i) q^{29} +(1.93243 + 2.13182i) q^{30} +(-2.44958 + 4.24279i) q^{31} +(5.57040 - 0.985206i) q^{32} +(2.00774 - 4.15049i) q^{33} +(-2.45129 - 3.13683i) q^{34} +(-0.637207 + 1.53835i) q^{35} +(-0.978148 - 5.91973i) q^{36} +(1.56161 - 0.646841i) q^{37} +(8.13407 - 2.25669i) q^{38} +(2.25317 - 2.60897i) q^{39} +(-3.18532 + 0.944619i) q^{40} +(-1.79113 + 0.479933i) q^{41} +(2.85495 - 1.97622i) q^{42} +(-3.53435 + 4.60605i) q^{43} +(3.31505 + 4.16580i) q^{44} +(0.963684 + 3.38965i) q^{45} +(5.94875 - 7.89597i) q^{46} +(2.63929 - 1.52379i) q^{47} +(6.65004 + 1.94345i) q^{48} +(-4.32202 - 2.49532i) q^{49} +(-4.71250 + 2.00092i) q^{50} +(-0.987510 - 4.77468i) q^{51} +(1.58799 + 3.65006i) q^{52} +(5.05519 + 12.2043i) q^{53} +(2.14090 - 7.02969i) q^{54} +(-2.21102 - 2.21102i) q^{55} +(0.628439 + 3.95979i) q^{56} +(10.1548 + 1.93984i) q^{57} +(2.57623 - 2.62213i) q^{58} +(0.772624 - 5.86866i) q^{59} +(-4.00973 - 0.692800i) q^{60} +(1.99868 - 0.263132i) q^{61} +(-0.964968 - 6.86092i) q^{62} +(4.20726 - 0.619065i) q^{63} +(-5.34933 + 5.94851i) q^{64} +(-1.16894 - 2.02467i) q^{65} +(1.37694 + 6.37332i) q^{66} +(7.64787 + 9.96690i) q^{67} +(5.46306 + 1.36088i) q^{68} +(10.8182 - 5.43752i) q^{69} +(-0.629532 - 2.26910i) q^{70} +(-1.51020 + 1.51020i) q^{71} +(6.24484 + 5.74474i) q^{72} +(4.87802 + 4.87802i) q^{73} +(-1.17688 + 2.08063i) q^{74} +(-6.25984 - 0.362554i) q^{75} +(-7.09888 + 9.59778i) q^{76} +(-2.99359 + 2.29706i) q^{77} +(-0.238893 + 4.86928i) q^{78} +(12.0038 - 6.93042i) q^{79} +(2.72692 - 3.82637i) q^{80} +(6.16766 - 6.55438i) q^{81} +(1.57798 - 2.09451i) q^{82} +(-1.12904 - 8.57589i) q^{83} +(-1.46047 + 4.68822i) q^{84} +(-3.27838 - 0.431607i) q^{85} +(-0.0725063 - 8.21032i) q^{86} +(4.25205 - 1.47949i) q^{87} +(-7.32159 - 1.75534i) q^{88} +(-3.25920 + 3.25920i) q^{89} +(-4.02554 - 2.93800i) q^{90} +(-2.60649 + 1.07964i) q^{91} +(0.246916 + 13.9788i) q^{92} +(2.66648 - 8.05574i) q^{93} +(-1.61412 + 3.99628i) q^{94} +(3.50572 - 6.07208i) q^{95} +(-9.10265 + 3.62517i) q^{96} +(-8.18684 - 14.1800i) q^{97} +(6.98904 - 0.982988i) q^{98} +(-1.94944 + 7.74419i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 368 q - 4 q^{2} - 8 q^{3} - 4 q^{4} - 4 q^{5} - 8 q^{6} - 4 q^{7} - 16 q^{8} - 8 q^{9}+O(q^{10}) $ 368 * q - 4 * q^2 - 8 * q^3 - 4 * q^4 - 4 * q^5 - 8 * q^6 - 4 * q^7 - 16 * q^8 - 8 * q^9	\( 368 q - 4 q^{2} - 8 q^{3} - 4 q^{4} - 4 q^{5} - 8 q^{6} - 4 q^{7} - 16 q^{8} - 8 q^{9} - 16 q^{10} - 4 q^{11} - 8 q^{12} - 4 q^{13} - 4 q^{14} - 4 q^{16} - 8 q^{18} - 16 q^{19} - 4 q^{20} - 8 q^{21} - 4 q^{22} - 4 q^{23} - 48 q^{24} - 4 q^{25} - 16 q^{26} - 32 q^{27} - 16 q^{28} - 4 q^{29} + 24 q^{30} - 8 q^{31} - 4 q^{32} - 16 q^{33} + 4 q^{34} - 16 q^{35} + 20 q^{36} - 16 q^{37} - 60 q^{38} - 32 q^{39} - 4 q^{40} - 4 q^{41} - 88 q^{42} - 4 q^{43} - 104 q^{44} - 8 q^{45} - 16 q^{46} - 60 q^{48} + 48 q^{50} + 16 q^{51} - 4 q^{52} - 16 q^{53} - 52 q^{54} - 16 q^{55} - 84 q^{56} - 8 q^{57} - 40 q^{58} - 4 q^{59} - 52 q^{60} - 4 q^{61} - 24 q^{62} - 16 q^{63} - 16 q^{64} - 8 q^{65} + 64 q^{66} - 4 q^{67} + 12 q^{68} - 8 q^{69} - 4 q^{70} - 16 q^{71} - 68 q^{72} - 16 q^{73} - 4 q^{74} - 28 q^{75} + 20 q^{76} - 4 q^{77} - 72 q^{78} + 48 q^{80} - 16 q^{82} + 36 q^{83} + 200 q^{84} + 16 q^{85} + 100 q^{86} - 64 q^{87} - 4 q^{88} - 16 q^{89} + 4 q^{90} - 16 q^{91} - 80 q^{92} + 4 q^{93} - 20 q^{94} - 136 q^{95} + 28 q^{96} - 8 q^{97} + 104 q^{98} - 72 q^{99}+O(q^{100}) \) 368 * q - 4 * q^2 - 8 * q^3 - 4 * q^4 - 4 * q^5 - 8 * q^6 - 4 * q^7 - 16 * q^8 - 8 * q^9 - 16 * q^10 - 4 * q^11 - 8 * q^12 - 4 * q^13 - 4 * q^14 - 4 * q^16 - 8 * q^18 - 16 * q^19 - 4 * q^20 - 8 * q^21 - 4 * q^22 - 4 * q^23 - 48 * q^24 - 4 * q^25 - 16 * q^26 - 32 * q^27 - 16 * q^28 - 4 * q^29 + 24 * q^30 - 8 * q^31 - 4 * q^32 - 16 * q^33 + 4 * q^34 - 16 * q^35 + 20 * q^36 - 16 * q^37 - 60 * q^38 - 32 * q^39 - 4 * q^40 - 4 * q^41 - 88 * q^42 - 4 * q^43 - 104 * q^44 - 8 * q^45 - 16 * q^46 - 60 * q^48 + 48 * q^50 + 16 * q^51 - 4 * q^52 - 16 * q^53 - 52 * q^54 - 16 * q^55 - 84 * q^56 - 8 * q^57 - 40 * q^58 - 4 * q^59 - 52 * q^60 - 4 * q^61 - 24 * q^62 - 16 * q^63 - 16 * q^64 - 8 * q^65 + 64 * q^66 - 4 * q^67 + 12 * q^68 - 8 * q^69 - 4 * q^70 - 16 * q^71 - 68 * q^72 - 16 * q^73 - 4 * q^74 - 28 * q^75 + 20 * q^76 - 4 * q^77 - 72 * q^78 + 48 * q^80 - 16 * q^82 + 36 * q^83 + 200 * q^84 + 16 * q^85 + 100 * q^86 - 64 * q^87 - 4 * q^88 - 16 * q^89 + 4 * q^90 - 16 * q^91 - 80 * q^92 + 4 * q^93 - 20 * q^94 - 136 * q^95 + 28 * q^96 - 8 * q^97 + 104 * q^98 - 72 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/288\mathbb{Z}\right)^\times$.

$n$	$37$	$65$	$127$
$\chi(n)$	$e\left(\frac{7}{8}\right)$	$e\left(\frac{1}{3}\right)$	$1$

Coefficient data

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

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

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

$2$	−1.11432	+	0.870793i	−0.787947	+	0.615744i
$2$	−1.11432	+	0.870793i	−0.787947	+	0.615744i
$3$	−1.69615	+	0.350802i	−0.979275	+	0.202536i
$3$	−1.69615	+	0.350802i	−0.979275	+	0.202536i
$4$	0.483439	−	1.94069i	0.241720	−	0.970346i
$5$	−0.153324	+	1.16461i	−0.0685685	+	0.520829i	0.922349	+	0.386358i	$0.126267\pi$
$5$	−0.153324	+	1.16461i	−0.0685685	+	0.520829i	−0.990917	+	0.134471i	$0.957066\pi$
$6$	1.58459	−	1.86791i	0.646906	−	0.762570i
$7$	1.36922	+	0.366881i	0.517516	+	0.138668i	0.508117	−	0.861288i	$-0.330342\pi$
$7$	1.36922	+	0.366881i	0.517516	+	0.138668i	0.00939862	+	0.999956i	$0.497008\pi$
$8$	1.15123	+	2.58354i	0.407022	+	0.913418i
$9$	2.75388	−	1.19003i	0.917959	−	0.396676i
$10$	−0.843281	−	1.43127i	−0.266669	−	0.452606i
$11$	−1.62048	+	2.11185i	−0.488593	+	0.636746i	−0.970965	−	0.239220i	$-0.923108\pi$
$11$	−1.62048	+	2.11185i	−0.488593	+	0.636746i	0.482373	+	0.875966i	$0.339775\pi$
$12$	−0.139188	+	3.46130i	−0.0401802	+	0.999192i
$13$	−1.57898	+	1.21160i	−0.437931	+	0.336037i	−0.804081	−	0.594519i	$-0.797342\pi$
$13$	−1.57898	+	1.21160i	−0.437931	+	0.336037i	0.366150	+	0.930556i	$0.380676\pi$
$14$	−1.84523	+	0.783481i	−0.493159	+	0.209394i
$15$	−0.148487	−	2.02914i	−0.0383391	−	0.523923i
$16$	−3.53257	−	1.87641i	−0.883143	−	0.469103i
$17$			2.81501i			0.682739i	0.939929	+	0.341370i	$0.110891\pi$
$17$			2.81501i			0.682739i	−0.939929	+	0.341370i	$0.889109\pi$
$18$	−2.03244	+	3.72413i	−0.479051	+	0.877787i
$19$	−5.51455	−	2.28420i	−1.26513	−	0.524032i	−0.353646	−	0.935379i	$-0.615058\pi$
$19$	−5.51455	−	2.28420i	−1.26513	−	0.524032i	−0.911479	+	0.411347i	$0.865058\pi$
$20$	2.18603	+	0.860572i	0.488810	+	0.192430i
$21$	−2.45111	−	0.141962i	−0.534876	−	0.0309786i
$22$	−0.0332437	−	3.76439i	−0.00708758	−	0.802570i
$23$	−6.75230	+	1.80927i	−1.40795	+	0.377259i	−0.881193	−	0.472756i	$-0.843259\pi$
$23$	−6.75230	+	1.80927i	−1.40795	+	0.377259i	−0.526758	+	0.850015i	$0.676593\pi$
$24$	−2.85898	−	3.97822i	−0.583587	−	0.812051i
$25$	3.49682	+	0.936971i	0.699364	+	0.187394i
$26$	0.704451	−	2.72508i	0.138154	−	0.534432i
$27$	−4.25353	+	2.98454i	−0.818593	+	0.574374i
$28$	1.37394	−	2.47987i	0.259650	−	0.468651i
$29$	−2.57705	+	0.339274i	−0.478545	+	0.0630017i	−0.365941	−	0.930638i	$-0.619253\pi$
$29$	−2.57705	+	0.339274i	−0.478545	+	0.0630017i	−0.112605	+	0.993640i	$0.535919\pi$
$30$	1.93243	+	2.13182i	0.352811	+	0.389216i
$31$	−2.44958	+	4.24279i	−0.439957	+	0.762027i	−0.997686	−	0.0679958i	$-0.978340\pi$
$31$	−2.44958	+	4.24279i	−0.439957	+	0.762027i	0.557729	+	0.830023i	$0.311673\pi$
$32$	5.57040	−	0.985206i	0.984717	−	0.174161i
$33$	2.00774	−	4.15049i	0.349503	−	0.722507i
$34$	−2.45129	−	3.13683i	−0.420392	−	0.537962i
$35$	−0.637207	+	1.53835i	−0.107708	+	0.260029i
$36$	−0.978148	−	5.91973i	−0.163025	−	0.986622i
$37$	1.56161	−	0.646841i	0.256727	−	0.106340i	−0.250608	−	0.968089i	$-0.580631\pi$
$37$	1.56161	−	0.646841i	0.256727	−	0.106340i	0.507335	+	0.861749i	$0.330631\pi$
$38$	8.13407	−	2.25669i	1.31952	−	0.366083i
$39$	2.25317	−	2.60897i	0.360796	−	0.417769i
$40$	−3.18532	+	0.944619i	−0.503644	+	0.149357i
$41$	−1.79113	+	0.479933i	−0.279728	+	0.0749529i	−0.395955	−	0.918270i	$-0.629587\pi$
$41$	−1.79113	+	0.479933i	−0.279728	+	0.0749529i	0.116227	+	0.993223i	$0.462920\pi$
$42$	2.85495	−	1.97622i	0.440528	−	0.304937i
$43$	−3.53435	+	4.60605i	−0.538983	+	0.702417i	−0.980872	−	0.194653i	$-0.937642\pi$
$43$	−3.53435	+	4.60605i	−0.538983	+	0.702417i	0.441889	+	0.897070i	$0.354309\pi$
$44$	3.31505	+	4.16580i	0.499762	+	0.628018i
$45$	0.963684	+	3.38965i	0.143658	+	0.505299i
$46$	5.94875	−	7.89597i	0.877095	−	1.16420i
$47$	2.63929	−	1.52379i	0.384980	−	0.222268i	−0.295003	−	0.955496i	$-0.595321\pi$
$47$	2.63929	−	1.52379i	0.384980	−	0.222268i	0.679983	+	0.733228i	$0.261987\pi$
$48$	6.65004	+	1.94345i	0.959850	+	0.280513i
$49$	−4.32202	−	2.49532i	−0.617431	−	0.356474i
$50$	−4.71250	+	2.00092i	−0.666448	+	0.282973i
$51$	−0.987510	−	4.77468i	−0.138279	−	0.668589i
$52$	1.58799	+	3.65006i	0.220215	+	0.506172i
$53$	5.05519	+	12.2043i	0.694384	+	1.67639i	0.735756	+	0.677247i	$0.236827\pi$
$53$	5.05519	+	12.2043i	0.694384	+	1.67639i	−0.0413723	+	0.999144i	$0.513173\pi$
$54$	2.14090	−	7.02969i	0.291340	−	0.956620i
$55$	−2.21102	−	2.21102i	−0.298134	−	0.298134i
$56$	0.628439	+	3.95979i	0.0839787	+	0.529149i
$57$	10.1548	+	1.93984i	1.34504	+	0.256938i
$58$	2.57623	−	2.62213i	0.338275	−	0.344303i
$59$	0.772624	−	5.86866i	0.100587	−	0.764034i	−0.864598	−	0.502465i	$-0.832427\pi$
$59$	0.772624	−	5.86866i	0.100587	−	0.764034i	0.965185	−	0.261570i	$-0.0842401\pi$
$60$	−4.00973	−	0.692800i	−0.517654	−	0.0894401i
$61$	1.99868	−	0.263132i	0.255905	−	0.0336905i	−0.00148206	−	0.999999i	$-0.500472\pi$
$61$	1.99868	−	0.263132i	0.255905	−	0.0336905i	0.257387	+	0.966308i	$0.417138\pi$
$62$	−0.964968	−	6.86092i	−0.122551	−	0.871337i
$63$	4.20726	−	0.619065i	0.530065	−	0.0779948i
$64$	−5.34933	+	5.94851i	−0.668666	+	0.743563i
$65$	−1.16894	−	2.02467i	−0.144989	−	0.251129i
$66$	1.37694	+	6.37332i	0.169490	+	0.784501i
$67$	7.64787	+	9.96690i	0.934336	+	1.21765i	0.975834	+	0.218512i	$0.0701204\pi$
$67$	7.64787	+	9.96690i	0.934336	+	1.21765i	−0.0414978	+	0.999139i	$0.513213\pi$
$68$	5.46306	+	1.36088i	0.662493	+	0.165031i
$69$	10.8182	−	5.43752i	1.30236	−	0.654601i
$70$	−0.629532	−	2.26910i	−0.0752435	−	0.271209i
$71$	−1.51020	+	1.51020i	−0.179228	+	0.179228i	−0.791019	−	0.611792i	$-0.790449\pi$
$71$	−1.51020	+	1.51020i	−0.179228	+	0.179228i	0.611792	+	0.791019i	$0.290449\pi$
$72$	6.24484	+	5.74474i	0.735961	+	0.677024i
$73$	4.87802	+	4.87802i	0.570929	+	0.570929i	0.932388	−	0.361459i	$-0.117721\pi$
$73$	4.87802	+	4.87802i	0.570929	+	0.570929i	−0.361459	+	0.932388i	$0.617721\pi$
$74$	−1.17688	+	2.08063i	−0.136809	+	0.241868i
$75$	−6.25984	−	0.362554i	−0.722824	−	0.0418641i
$76$	−7.09888	+	9.59778i	−0.814298	+	1.10094i
$77$	−2.99359	+	2.29706i	−0.341151	+	0.261774i
$78$	−0.238893	+	4.86928i	−0.0270493	+	0.551337i
$79$	12.0038	−	6.93042i	1.35054	−	0.779733i	0.362212	−	0.932096i	$-0.382022\pi$
$79$	12.0038	−	6.93042i	1.35054	−	0.779733i	0.988325	+	0.152363i	$0.0486883\pi$
$80$	2.72692	−	3.82637i	0.304879	−	0.427801i
$81$	6.16766	−	6.55438i	0.685296	−	0.728265i
$82$	1.57798	−	2.09451i	0.174259	−	0.231300i
$83$	−1.12904	−	8.57589i	−0.123928	−	0.941326i	−0.934569	−	0.355783i	$-0.884214\pi$
$83$	−1.12904	−	8.57589i	−0.123928	−	0.941326i	0.810641	−	0.585544i	$-0.199119\pi$
$84$	−1.46047	+	4.68822i	−0.159350	+	0.511526i
$85$	−3.27838	−	0.431607i	−0.355590	−	0.0468144i
$86$	−0.0725063	−	8.21032i	−0.00781855	−	0.885342i
$87$	4.25205	−	1.47949i	0.455867	−	0.158618i
$88$	−7.32159	−	1.75534i	−0.780484	−	0.187120i
$89$	−3.25920	+	3.25920i	−0.345474	+	0.345474i	−0.858421	−	0.512946i	$-0.828554\pi$
$89$	−3.25920	+	3.25920i	−0.345474	+	0.345474i	0.512946	+	0.858421i	$0.328554\pi$
$90$	−4.02554	−	2.93800i	−0.424329	−	0.309693i
$91$	−2.60649	+	1.07964i	−0.273234	+	0.113177i
$92$	0.246916	+	13.9788i	0.0257428	+	1.45739i
$93$	2.66648	−	8.05574i	0.276501	−	0.835341i
$94$	−1.61412	+	3.99628i	−0.166483	+	0.412184i
$95$	3.50572	−	6.07208i	0.359679	−	0.622982i
$96$	−9.10265	+	3.62517i	−0.929035	+	0.369992i
$97$	−8.18684	−	14.1800i	−0.831248	−	1.43976i	−0.897049	−	0.441931i	$-0.854294\pi$
$97$	−8.18684	−	14.1800i	−0.831248	−	1.43976i	0.0658016	−	0.997833i	$-0.479040\pi$
$98$	6.98904	−	0.982988i	0.706000	−	0.0992968i
$99$	−1.94944	+	7.74419i	−0.195926	+	0.778320i
$100$	3.50887	−	6.33329i	0.350887	−	0.633329i
$101$	−4.15407	−	3.18753i	−0.413345	−	0.317171i	0.381070	−	0.924546i	$-0.375556\pi$
$101$	−4.15407	−	3.18753i	−0.413345	−	0.317171i	−0.794415	+	0.607375i	$0.792222\pi$
$102$	5.25817	+	4.46063i	0.520636	+	0.441668i
$103$	4.63238	+	17.2883i	0.456442	+	1.70347i	0.683812	+	0.729658i	$0.260321\pi$
$103$	4.63238	+	17.2883i	0.456442	+	1.70347i	−0.227370	+	0.973808i	$0.573013\pi$
$104$	−4.94798	−	2.68453i	−0.485190	−	0.263240i
$105$	0.541143	−	2.83282i	0.0528102	−	0.276455i
$106$	−16.2605	−	9.19754i	−1.57936	−	0.893344i
$107$	−1.32342	−	3.19502i	−0.127940	−	0.308874i	0.846910	−	0.531736i	$-0.178460\pi$
$107$	−1.32342	−	3.19502i	−0.127940	−	0.308874i	−0.974850	+	0.222862i	$0.928460\pi$
$108$	3.73574	+	9.69764i	0.359472	+	0.933156i
$109$	3.45204	+	1.42988i	0.330646	+	0.136958i	0.541829	−	0.840488i	$-0.317732\pi$
$109$	3.45204	+	1.42988i	0.330646	+	0.136958i	−0.211184	+	0.977446i	$0.567732\pi$
$110$	4.38914	+	0.538454i	0.418488	+	0.0513396i
$111$	−2.42182	+	1.64496i	−0.229869	+	0.156133i
$112$	−4.14844	−	3.86525i	−0.391991	−	0.365232i
$113$	−13.1472	−	7.59055i	−1.23679	−	0.714059i	−0.268350	−	0.963321i	$-0.586479\pi$
$113$	−13.1472	−	7.59055i	−1.23679	−	0.714059i	−0.968436	+	0.249262i	$0.919812\pi$
$114$	−13.0050	+	6.68114i	−1.21803	+	0.625746i
$115$	−1.07181	−	8.14119i	−0.0999467	−	0.759170i
$116$	−0.587417	+	5.16527i	−0.0545403	+	0.479583i
$117$	−2.90649	+	5.21562i	−0.268705	+	0.482185i
$118$	4.24943	+	7.21239i	0.391192	+	0.663954i
$119$	−1.03277	+	3.85436i	−0.0946741	+	0.353328i
$120$	5.07142	−	2.71964i	0.462956	−	0.248268i
$121$	1.01305	+	3.78077i	0.0920959	+	0.343706i
$122$	−1.99805	+	2.03365i	−0.180895	+	0.184118i
$123$	2.86968	−	1.44237i	0.258750	−	0.130054i
$124$	7.04973	+	6.80500i	0.633084	+	0.611107i
$125$	−3.87496	+	9.35499i	−0.346587	+	0.836736i
$126$	−4.14917	+	4.35349i	−0.369638	+	0.387840i
$127$	18.9800			1.68420			0.842101	−	0.539320i	$-0.181319\pi$
$127$	18.9800			1.68420			0.842101	+	0.539320i	$0.181319\pi$
$128$	0.780969	−	11.2867i	0.0690286	−	0.997615i
$129$	4.37899	−	9.05243i	0.385548	−	0.797022i
$130$	3.06565	+	1.23823i	0.268875	+	0.108600i
$131$	−9.92967	−	12.9406i	−0.867560	−	1.13063i	−0.990404	−	0.138200i	$-0.955868\pi$
$131$	−9.92967	−	12.9406i	−0.867560	−	1.13063i	0.122845	−	0.992426i	$-0.460798\pi$
$132$	−7.08420	−	5.90291i	−0.616600	−	0.513783i
$133$	−6.71260	−	5.15076i	−0.582056	−	0.446627i
$134$	−17.2013	−	4.44665i	−1.48597	−	0.384132i
$135$	−2.82365	−	5.41130i	−0.243021	−	0.465731i
$136$	−7.27267	+	3.24073i	−0.623626	+	0.277890i
$137$	4.83813	−	18.0562i	0.413349	−	1.54264i	−0.374769	−	0.927118i	$-0.622278\pi$
$137$	4.83813	−	18.0562i	0.413349	−	1.54264i	0.788119	−	0.615523i	$-0.211055\pi$
$138$	−7.32007	+	15.4796i	−0.623126	+	1.31771i
$139$	−0.326822	−	0.0430270i	−0.0277207	−	0.00364950i	0.116653	−	0.993173i	$-0.462783\pi$
$139$	−0.326822	−	0.0430270i	−0.0277207	−	0.00364950i	−0.144374	+	0.989523i	$0.546117\pi$
$140$	2.67742	+	1.98032i	0.226283	+	0.167368i
$141$	−3.94209	+	3.51046i	−0.331984	+	0.295634i
$142$	0.367781	−	2.99792i	0.0308635	−	0.251580i
$143$		−	5.29794i		−	0.443036i
$144$	−11.9613	−	0.963546i	−0.996771	−	0.0802955i
$145$		−	3.05327i		−	0.253560i
$146$	−9.68344	−	1.18795i	−0.801407	−	0.0983156i
$147$	8.20617	+	2.71627i	0.676834	+	0.224034i
$148$	−0.500374	−	3.34332i	−0.0411305	−	0.274819i
$149$	19.8650	+	2.61528i	1.62740	+	0.214252i	0.888275	−	0.459311i	$-0.151904\pi$
$149$	19.8650	+	2.61528i	1.62740	+	0.214252i	0.739130	+	0.673563i	$0.235237\pi$
$150$	7.29120	−	5.04702i	0.595324	−	0.412088i
$151$	−4.01708	+	14.9920i	−0.326905	+	1.22003i	0.585477	+	0.810689i	$0.300907\pi$
$151$	−4.01708	+	14.9920i	−0.326905	+	1.22003i	−0.912382	+	0.409339i	$0.865759\pi$
$152$	−0.447213	−	16.8767i	−0.0362738	−	1.36888i
$153$	3.34994	+	7.75217i	0.270826	+	0.626726i
$154$	1.33556	−	5.16647i	0.107623	−	0.416326i
$155$	−4.56561	−	3.50332i	−0.366719	−	0.281393i
$156$	−3.97393	−	5.63398i	−0.318169	−	0.451080i
$157$	−2.06906	−	2.69645i	−0.165129	−	0.215200i	0.703458	−	0.710736i	$-0.251638\pi$
$157$	−2.06906	−	2.69645i	−0.165129	−	0.215200i	−0.868587	+	0.495537i	$0.834971\pi$
$158$	−7.34121	+	18.1756i	−0.584035	+	1.44597i
$159$	−12.8557	−	18.9270i	−1.01952	−	1.50101i
$160$	0.293305	+	6.63840i	0.0231878	+	0.524811i
$161$	−9.90916			−0.780951
$162$	−1.16527	+	12.6745i	−0.0915522	+	0.995800i
$163$	−1.32778	+	3.20555i	−0.104000	+	0.251078i	−0.967310	−	0.253595i	$-0.918387\pi$
$163$	−1.32778	+	3.20555i	−0.104000	+	0.251078i	0.863311	+	0.504673i	$0.168387\pi$
$164$	0.0654976	+	3.70806i	0.00511450	+	0.289551i
$165$	4.52586	+	2.97460i	0.352338	+	0.231572i
$166$	8.72594	+	8.57317i	0.677264	+	0.665407i
$167$	3.52115	+	13.1411i	0.272475	+	1.01689i	0.957515	+	0.288384i	$0.0931179\pi$
$167$	3.52115	+	13.1411i	0.272475	+	1.01689i	−0.685040	+	0.728505i	$0.740215\pi$
$168$	−2.45503	−	6.49596i	−0.189410	−	0.501174i
$169$	−2.33942	+	8.73085i	−0.179956	+	0.671604i
$170$	4.02902	−	2.37384i	0.309012	−	0.182065i
$171$	−17.9047	+	0.272067i	−1.36920	+	0.0208054i
$172$	7.23029	+	9.08583i	0.551304	+	0.692788i
$173$	1.84563	+	14.0189i	0.140320	+	1.06584i	0.906198	+	0.422853i	$0.138971\pi$
$173$	1.84563	+	14.0189i	0.140320	+	1.06584i	−0.765878	+	0.642986i	$0.777695\pi$
$174$	−3.44983	+	5.35129i	−0.261531	+	0.405680i
$175$	4.44416	+	2.56584i	0.335947	+	0.193959i
$176$	9.68716	−	4.41957i	0.730197	−	0.333138i
$177$	0.748250	+	10.2252i	0.0562419	+	0.768572i
$178$	0.793718	−	6.46989i	0.0594917	−	0.484939i
$179$	19.4803	+	8.06899i	1.45602	+	0.603105i	0.963623	−	0.267265i	$-0.0861198\pi$
$179$	19.4803	+	8.06899i	1.45602	+	0.603105i	0.492400	+	0.870369i	$0.336120\pi$
$180$	7.04415	−	0.231525i	0.525040	−	0.0172569i
$181$	3.45058	+	8.33045i	0.256480	+	0.619197i	0.998701	−	0.0509580i	$-0.0162275\pi$
$181$	3.45058	+	8.33045i	0.256480	+	0.619197i	−0.742221	+	0.670155i	$0.766227\pi$
$182$	1.96433	−	3.47278i	0.145606	−	0.257420i
$183$	−3.29777	+	1.14745i	−0.243778	+	0.0848222i
$184$	−12.4478	−	15.3619i	−0.917663	−	1.13250i
$185$	0.513885	+	1.91784i	0.0377816	+	0.141003i
$186$	4.04356	+	11.2987i	0.296488	+	0.828458i
$187$	−5.94487	−	4.56166i	−0.434732	−	0.333581i
$188$	−1.68128	−	5.85871i	−0.122620	−	0.427290i
$189$	−6.91899	+	2.52594i	−0.503282	+	0.183735i
$190$	1.38102	+	9.81902i	0.100189	+	0.712347i
$191$	−6.15942	−	10.6684i	−0.445680	−	0.771941i	0.552419	−	0.833566i	$-0.313705\pi$
$191$	−6.15942	−	10.6684i	−0.445680	−	0.771941i	−0.998099	+	0.0616258i	$0.980371\pi$
$192$	6.98653	−	11.9661i	0.504209	−	0.863581i
$193$	1.18068	−	2.04499i	0.0849870	−	0.147202i	−0.820399	−	0.571792i	$-0.806248\pi$
$193$	1.18068	−	2.04499i	0.0849870	−	0.147202i	0.905386	+	0.424590i	$0.139582\pi$
$194$	21.4707	+	8.67211i	1.54150	+	0.622621i
$195$	2.69296	+	3.02408i	0.192847	+	0.216559i
$196$	−6.93208	+	7.18138i	−0.495149	+	0.512955i
$197$	−6.54789	+	2.71223i	−0.466518	+	0.193238i	−0.603545	−	0.797329i	$-0.706245\pi$
$197$	−6.54789	+	2.71223i	−0.466518	+	0.193238i	0.137026	+	0.990567i	$0.456245\pi$
$198$	−4.57128	−	10.3271i	−0.324867	−	0.733915i
$199$	3.48085	−	3.48085i	0.246751	−	0.246751i	−0.572885	−	0.819636i	$-0.694176\pi$
$199$	3.48085	−	3.48085i	0.246751	−	0.246751i	0.819636	+	0.572885i	$0.194176\pi$
$200$	1.60496	+	10.1128i	0.113488	+	0.715086i
$201$	−16.4684	−	14.2225i	−1.16159	−	1.00318i
$202$	7.40466	−	0.0653913i	0.520990	−	0.00460092i
$203$	−3.65301	−	0.480928i	−0.256391	−	0.0337545i
$204$	−9.74359	−	0.391816i	−0.682188	−	0.0274326i
$205$	−0.284311	−	2.15956i	−0.0198571	−	0.150830i
$206$	−20.2165	−	15.2309i	−1.40855	−	1.06119i
$207$	−16.4419	+	13.0179i	−1.14279	+	0.904809i
$208$	7.85133	−	1.31723i	0.544392	−	0.0913333i
$209$	13.7601	−	7.94440i	0.951806	−	0.549526i
$210$	1.86379	+	3.62790i	0.128614	+	0.250349i
$211$	11.4026	−	8.74953i	0.784988	−	0.602343i	−0.136549	−	0.990633i	$-0.543601\pi$
$211$	11.4026	−	8.74953i	0.784988	−	0.602343i	0.921537	+	0.388291i	$0.126934\pi$
$212$	26.1287	−	3.91053i	1.79453	−	0.268576i
$213$	2.03175	−	3.09131i	0.139213	−	0.211813i
$214$	4.25692	+	2.40787i	0.290997	+	0.164598i
$215$	−4.82235	−	4.82235i	−0.328882	−	0.328882i
$216$	−12.6075	−	7.55326i	−0.857830	−	0.513934i
$217$	−4.91060	+	4.91060i	−0.333353	+	0.333353i
$218$	−5.09183	+	1.41266i	−0.344862	+	0.0956774i
$219$	−9.98509	−	6.56265i	−0.674730	−	0.443463i
$220$	−5.35981	+	3.22202i	−0.361358	+	0.217228i
$221$	−3.41065	−	4.44485i	−0.229425	−	0.298993i
$222$	1.26628	−	3.94192i	0.0849869	−	0.264564i
$223$	8.63232	+	14.9516i	0.578063	+	1.00123i	0.995701	+	0.0926209i	$0.0295245\pi$
$223$	8.63232	+	14.9516i	0.578063	+	1.00123i	−0.417639	+	0.908613i	$0.637142\pi$
$224$	7.98855	+	0.694712i	0.533757	+	0.0464174i
$225$	10.7448	−	1.58102i	0.716322	−	0.105401i
$226$	21.2601	−	2.99017i	1.41420	−	0.198903i
$227$	13.4862	−	1.77549i	0.895112	−	0.117844i	0.331086	−	0.943601i	$-0.392585\pi$
$227$	13.4862	−	1.77549i	0.895112	−	0.117844i	0.564026	+	0.825757i	$0.309252\pi$
$228$	8.67388	−	18.7696i	0.574442	−	1.24305i
$229$	1.33942	−	10.1739i	0.0885111	−	0.672308i	−0.888463	−	0.458949i	$-0.848226\pi$
$229$	1.33942	−	10.1739i	0.0885111	−	0.672308i	0.976974	−	0.213359i	$-0.0684405\pi$
$230$	8.28364	+	8.13861i	0.546207	+	0.536644i
$231$	4.27177	−	4.94632i	0.281062	−	0.325444i
$232$	−3.84331	−	6.26731i	−0.252325	−	0.411469i
$233$	−2.12410	−	2.12410i	−0.139154	−	0.139154i	0.634098	−	0.773253i	$-0.281371\pi$
$233$	−2.12410	−	2.12410i	−0.139154	−	0.139154i	−0.773253	+	0.634098i	$0.781371\pi$
$234$	−1.30295	−	8.34285i	−0.0851768	−	0.545389i
$235$	1.36996	+	3.30738i	0.0893663	+	0.215749i
$236$	−11.0157	−	4.33657i	−0.717064	−	0.282286i
$237$	−17.9291	+	15.9660i	−1.16462	+	1.03710i
$238$	−2.20550	−	5.19434i	−0.142962	−	0.336699i
$239$	−3.42879	−	1.97961i	−0.221790	−	0.128050i	0.384989	−	0.922921i	$-0.374205\pi$
$239$	−3.42879	−	1.97961i	−0.221790	−	0.128050i	−0.606779	+	0.794871i	$0.707539\pi$
$240$	−3.28297	+	7.44672i	−0.211915	+	0.480684i
$241$	−14.6013	+	8.43005i	−0.940551	+	0.543028i	−0.890133	−	0.455701i	$-0.849389\pi$
$241$	−14.6013	+	8.43005i	−0.940551	+	0.543028i	−0.0504182	+	0.998728i	$0.516055\pi$
$242$	−4.42114	−	3.33085i	−0.284202	−	0.214115i
$243$	−8.16201	+	13.2809i	−0.523593	+	0.851968i
$244$	0.455584	−	4.00604i	0.0291658	−	0.256460i
$245$	3.56874	−	4.65087i	0.227999	−	0.297133i
$246$	−1.94174	+	4.10617i	−0.123801	+	0.261800i
$247$	11.4749	−	3.07470i	0.730132	−	0.195638i
$248$	−13.7814	−	1.44413i	−0.875122	−	0.0917024i
$249$	4.92346	+	14.1500i	0.312012	+	0.896717i
$250$	−3.82829	−	13.7988i	−0.242122	−	0.872712i
$251$	26.5763	−	11.0082i	1.67748	−	0.694834i	0.678277	−	0.734806i	$-0.262727\pi$
$251$	26.5763	−	11.0082i	1.67748	−	0.694834i	0.999201	+	0.0399717i	$0.0127268\pi$
$252$	0.832539	−	8.46427i	0.0524450	−	0.533199i
$253$	7.12104	−	17.1917i	0.447696	−	1.08083i
$254$	−21.1499	+	16.5276i	−1.32706	+	1.03704i
$255$	5.71205	−	0.417991i	0.357702	−	0.0261756i
$256$	8.95814	+	13.2571i	0.559884	+	0.828571i
$257$	−10.7349	+	18.5934i	−0.669626	+	1.15983i	0.308383	+	0.951262i	$0.400212\pi$
$257$	−10.7349	+	18.5934i	−0.669626	+	1.15983i	−0.978009	+	0.208564i	$0.933121\pi$
$258$	3.00318	+	13.9005i	0.186970	+	0.865410i
$259$	2.37550	−	0.312741i	0.147606	−	0.0194328i
$260$	−4.49437	+	1.28975i	−0.278729	+	0.0799871i
$261$	−6.69312	+	4.00108i	−0.414293	+	0.247661i
$262$	22.3335	+	5.77334i	1.37977	+	0.356678i
$263$	27.7212	+	7.42787i	1.70936	+	0.458022i	0.975268	−	0.221026i	$-0.0709405\pi$
$263$	27.7212	+	7.42787i	1.70936	+	0.458022i	0.734094	+	0.679048i	$0.237607\pi$
$264$	13.0343	+	0.408892i	0.802207	+	0.0251656i
$265$	−14.9883	+	4.01611i	−0.920726	+	0.246708i
$266$	11.9653	−	0.105666i	0.733637	−	0.00647883i
$267$	4.38477	−	6.67143i	0.268343	−	0.408285i
$268$	23.0400	−	10.0238i	1.40739	−	0.612300i
$269$	4.87249	+	2.01825i	0.297081	+	0.123055i	0.526245	−	0.850333i	$-0.323599\pi$
$269$	4.87249	+	2.01825i	0.297081	+	0.123055i	−0.229164	+	0.973388i	$0.573599\pi$
$270$	7.85859	+	3.57113i	0.478259	+	0.217332i
$271$		−	6.46094i		−	0.392474i	−0.980556	−	0.196237i	$-0.937128\pi$
$271$		−	6.46094i		−	0.392474i	0.980556	−	0.196237i	$-0.0628723\pi$
$272$	5.28211	−	9.94421i	0.320275	−	0.602956i
$273$	4.04226	−	2.74560i	0.244649	−	0.166171i
$274$	10.3319	+	24.3334i	0.624174	+	1.47004i
$275$	−7.64527	+	5.86642i	−0.461027	+	0.353758i
$276$	−5.32260	−	23.6236i	−0.320383	−	1.42197i
$277$	15.3929	−	20.0604i	0.924868	−	1.20531i	−0.0535263	−	0.998566i	$-0.517046\pi$
$277$	15.3929	−	20.0604i	0.924868	−	1.20531i	0.978395	−	0.206746i	$-0.0662872\pi$
$278$	0.401654	−	0.236648i	0.0240896	−	0.0141932i
$279$	−1.69679	+	14.5992i	−0.101584	+	0.874030i
$280$	−4.70797	+	0.124756i	−0.281355	+	0.00745558i
$281$	1.94828	+	0.522039i	0.116224	+	0.0311422i	0.316462	−	0.948605i	$-0.397505\pi$
$281$	1.94828	+	0.522039i	0.116224	+	0.0311422i	−0.200238	+	0.979747i	$0.564172\pi$
$282$	1.33589	−	7.34454i	0.0795509	−	0.437361i
$283$	0.541510	−	4.11318i	0.0321895	−	0.244503i	−0.967784	−	0.251782i	$-0.918984\pi$
$283$	0.541510	−	4.11318i	0.0321895	−	0.244503i	0.999974	+	0.00727852i	$0.00231684\pi$
$284$	2.20074	+	3.66092i	0.130590	+	0.217236i
$285$	−3.81614	+	11.5290i	−0.226048	+	0.682918i
$286$	4.61341	+	5.90363i	0.272797	+	0.349089i
$287$	−2.62853			−0.155157
$288$	14.1678	−	9.34207i	0.834844	−	0.550487i
$289$	9.07575			0.533867
$290$	2.65877	+	3.40233i	0.156128	+	0.199792i
$291$	18.8605	+	21.1795i	1.10562	+	1.24157i
$292$	11.8250	−	7.10851i	0.692003	−	0.415994i
$293$	−2.48902	+	18.9059i	−0.145410	+	1.10450i	0.750693	+	0.660651i	$0.229720\pi$
$293$	−2.48902	+	18.9059i	−0.145410	+	1.10450i	−0.896103	+	0.443846i	$0.853614\pi$
$294$	−11.5097	+	4.11907i	−0.671257	+	0.240229i
$295$	6.71624	+	1.79961i	0.391034	+	0.104777i
$296$	3.46892	+	3.28982i	0.201627	+	0.191217i
$297$	0.589866	−	13.8192i	0.0342275	−	0.801871i
$298$	−24.4134	+	14.3840i	−1.41423	+	0.833245i
$299$	8.46966	−	11.0379i	0.489813	−	0.638337i
$300$	−3.72986	+	11.9731i	−0.215343	+	0.691270i
$301$	−6.52917	+	5.01001i	−0.376335	+	0.288772i
$302$	−8.57855	−	20.2040i	−0.493640	−	1.16261i
$303$	8.16413	+	3.94928i	0.469017	+	0.226880i
$304$	15.1945	+	18.4167i	0.871461	+	1.05627i
$305$			2.36803i			0.135593i
$306$	−10.4835	−	5.72134i	−0.599299	−	0.327067i
$307$	−20.0438	−	8.30240i	−1.14396	−	0.473843i	−0.271455	−	0.962451i	$-0.587505\pi$
$307$	−20.0438	−	8.30240i	−1.14396	−	0.473843i	−0.872503	+	0.488608i	$0.837505\pi$
$308$	3.01067	+	6.92012i	0.171549	+	0.394310i
$309$	−13.9220	−	27.6986i	−0.791995	−	1.57572i
$310$	8.13824	−	0.0718697i	0.462221	−	0.00408193i
$311$	−5.67062	+	1.51944i	−0.321552	+	0.0861595i	−0.415984	−	0.909372i	$-0.636563\pi$
$311$	−5.67062	+	1.51944i	−0.321552	+	0.0861595i	0.0944328	+	0.995531i	$0.469896\pi$
$312$	9.33428	+	2.81762i	0.528450	+	0.159516i
$313$	−13.9152	−	3.72855i	−0.786531	−	0.210750i	−0.156869	−	0.987619i	$-0.550140\pi$
$313$	−13.9152	−	3.72855i	−0.786531	−	0.210750i	−0.629662	+	0.776869i	$0.716807\pi$
$314$	4.65365	+	1.20300i	0.262621	+	0.0678891i
$315$	0.0758964	+	4.99473i	0.00427628	+	0.281421i
$316$	−7.64668	−	26.6462i	−0.430159	−	1.49896i
$317$	−25.3493	+	3.33730i	−1.42376	+	0.187441i	−0.802728	−	0.596345i	$-0.796619\pi$
$317$	−25.3493	+	3.33730i	−1.42376	+	0.187441i	−0.621030	+	0.783787i	$0.713286\pi$
$318$	30.8069	+	9.89620i	1.72757	+	0.554952i
$319$	3.45955	−	5.99212i	0.193698	−	0.335494i
$320$	−6.10751	−	7.14192i	−0.341420	−	0.399246i
$321$	3.36555	+	4.95499i	0.187846	+	0.276560i
$322$	11.0420	−	8.62883i	0.615348	−	0.480866i
$323$	6.43004	−	15.5235i	0.357777	−	0.863750i
$324$	−9.73835	−	15.1382i	−0.541019	−	0.841010i
$325$	−6.65666	+	2.75728i	−0.369245	+	0.152946i
$326$	−1.31179	−	4.72825i	−0.0726533	−	0.261873i
$327$	−6.35680	−	1.21432i	−0.351532	−	0.0671519i
$328$	−3.30193	−	4.07494i	−0.182319	−	0.225001i
$329$	4.17282	−	1.11810i	0.230055	−	0.0616430i
$330$	−7.63354	+	0.626418i	−0.420213	+	0.0344832i
$331$	−16.3162	+	21.2637i	−0.896819	+	1.16876i	0.0881635	+	0.996106i	$0.471900\pi$
$331$	−16.3162	+	21.2637i	−0.896819	+	1.16876i	−0.984983	+	0.172652i	$0.944766\pi$
$332$	−17.1890	−	1.95481i	−0.943368	−	0.107284i
$333$	3.53073	−	3.63968i	0.193483	−	0.199453i
$334$	−15.3669	−	11.5773i	−0.840838	−	0.633480i
$335$	−12.7802	+	7.37862i	−0.698254	+	0.403137i
$336$	8.39234	+	5.10078i	0.457840	+	0.278271i
$337$	−17.4002	−	10.0460i	−0.947849	−	0.547241i	−0.0554370	−	0.998462i	$-0.517655\pi$
$337$	−17.4002	−	10.0460i	−0.947849	−	0.547241i	−0.892412	+	0.451221i	$0.850989\pi$
$338$	−4.99588	−	11.7662i	−0.271740	−	0.639995i
$339$	24.9625	+	8.26267i	1.35578	+	0.448767i
$340$	−2.42252	+	6.15368i	−0.131379	+	0.333730i
$341$	−4.99064	−	12.0485i	−0.270259	−	0.652462i
$342$	19.7147	−	15.8944i	1.06605	−	0.859472i
$343$	−12.0187	−	12.0187i	−0.648947	−	0.648947i
$344$	−15.9688	−	3.82848i	−0.860978	−	0.206418i
$345$	4.67390	+	13.4327i	0.251634	+	0.723194i
$346$	−14.2642	−	14.0145i	−0.766848	−	0.753423i
$347$	−0.000873226		0.00663281i	−4.68772e−5		0.000356068i	−0.991468	−	0.130348i	$-0.958390\pi$
$347$	−0.000873226		0.00663281i	−4.68772e−5		0.000356068i	0.991421	+	0.130704i	$0.0417238\pi$
$348$	−0.815638	−	8.96716i	−0.0437228	−	0.480690i
$349$	32.1684	−	4.23506i	1.72194	−	0.226697i	0.796245	−	0.604975i	$-0.206817\pi$
$349$	32.1684	−	4.23506i	1.72194	−	0.226697i	0.925692	+	0.378277i	$0.123483\pi$
$350$	−7.18654	+	1.01077i	−0.384137	+	0.0540278i
$351$	3.10020	−	9.86611i	0.165477	−	0.526614i
$352$	−6.94611	+	13.3604i	−0.370229	+	0.712109i
$353$	4.47709	+	7.75455i	0.238291	+	0.412733i	0.960224	−	0.279230i	$-0.0900793\pi$
$353$	4.47709	+	7.75455i	0.238291	+	0.412733i	−0.721933	+	0.691963i	$0.756746\pi$
$354$	−9.73782	−	10.7426i	−0.517559	−	0.570963i
$355$	−1.52724	−	1.99034i	−0.0810576	−	0.105636i
$356$	4.74947	+	7.90072i	0.251722	+	0.418737i
$357$	0.399623	−	6.89988i	0.0211503	−	0.365180i
$358$	−28.7338	+	7.97180i	−1.51863	+	0.421323i
$359$	−18.6151	+	18.6151i	−0.982469	+	0.982469i	−0.999849	−	0.0173798i	$-0.994468\pi$
$359$	−18.6151	+	18.6151i	−0.982469	+	0.982469i	0.0173798	+	0.999849i	$0.494468\pi$
$360$	−7.64786	+	6.39199i	−0.403078	+	0.336887i
$361$	11.7577	+	11.7577i	0.618825	+	0.618825i
$362$	−11.0992	−	6.27808i	−0.583359	−	0.329969i
$363$	−3.04460	−	6.05739i	−0.159800	−	0.317930i
$364$	0.835175	+	5.58033i	0.0437751	+	0.292489i
$365$	−6.42890	+	4.93307i	−0.336504	+	0.258209i
$366$	2.67559	−	4.15031i	0.139855	−	0.216940i
$367$	−13.9438	+	8.05043i	−0.727858	+	0.420229i	−0.817638	−	0.575733i	$-0.804717\pi$
$367$	−13.9438	+	8.05043i	−0.727858	+	0.420229i	0.0897800	+	0.995962i	$0.471384\pi$
$368$	27.2479	+	6.27871i	1.42040	+	0.327301i
$369$	−4.36142	+	3.45317i	−0.227047	+	0.179765i
$370$	−2.24268	−	1.68961i	−0.116591	−	0.0878388i
$371$	2.44413	+	18.5650i	0.126893	+	0.963848i
$372$	−14.3446	−	9.06927i	−0.743734	−	0.470220i
$373$	−12.1169	−	1.59522i	−0.627389	−	0.0825973i	−0.189874	−	0.981808i	$-0.560808\pi$
$373$	−12.1169	−	1.59522i	−0.627389	−	0.0825973i	−0.437515	+	0.899211i	$0.644141\pi$
$374$	10.5968	−	0.0935812i	0.547946	−	0.00483897i
$375$	3.29078	−	17.2268i	0.169935	−	0.889591i
$376$	6.97522	+	5.06446i	0.359719	+	0.261180i
$377$	3.65805	−	3.65805i	0.188399	−	0.188399i
$378$	5.51042	−	8.83973i	0.283426	−	0.454666i
$379$	−8.08602	+	3.34934i	−0.415351	+	0.172044i	−0.580565	−	0.814214i	$-0.697168\pi$
$379$	−8.08602	+	3.34934i	−0.415351	+	0.172044i	0.165214	+	0.986258i	$0.447168\pi$
$380$	−10.0892	−	9.73900i	−0.517567	−	0.499600i
$381$	−32.1930	+	6.65822i	−1.64930	+	0.341111i
$382$	16.1536	+	6.52452i	0.826490	+	0.333823i
$383$	10.9876	−	19.0311i	0.561439	−	0.972442i	−0.435932	−	0.899980i	$-0.643581\pi$
$383$	10.9876	−	19.0311i	0.561439	−	0.972442i	0.997371	−	0.0724618i	$-0.0230856\pi$
$384$	2.63476	+	19.4180i	0.134455	+	0.990920i
$385$	−2.21619	−	3.83855i	−0.112948	−	0.195631i
$386$	0.465108	+	3.30691i	0.0236734	+	0.168317i
$387$	−4.25182	+	16.8905i	−0.216132	+	0.858591i
$388$	−31.4769	+	9.03296i	−1.59800	+	0.458579i
$389$	14.2322	+	10.9208i	0.721601	+	0.553704i	0.902966	−	0.429712i	$-0.141385\pi$
$389$	14.2322	+	10.9208i	0.721601	+	0.553704i	−0.181365	+	0.983416i	$0.558051\pi$
$390$	−5.63418	−	1.02479i	−0.285298	−	0.0518924i
$391$	−5.09311	−	19.0078i	−0.257570	−	0.961263i
$392$	1.47110	−	14.0388i	0.0743017	−	0.709066i
$393$	21.3818	+	18.4659i	1.07857	+	0.931482i
$394$	4.93469	−	8.72416i	0.248606	−	0.439517i
$395$	6.23076	+	15.0424i	0.313503	+	0.756864i
$396$	14.0866	+	7.52710i	0.707881	+	0.378251i
$397$	−29.8636	−	12.3699i	−1.49881	−	0.620827i	−0.525596	−	0.850734i	$-0.676158\pi$
$397$	−29.8636	−	12.3699i	−1.49881	−	0.620827i	−0.973213	+	0.229907i	$0.926158\pi$
$398$	−0.847698	+	6.90990i	−0.0424912	+	0.346362i
$399$	13.1925	+	6.38168i	0.660451	+	0.319484i
$400$	−10.5946	−	9.87140i	−0.529732	−	0.493570i
$401$	−26.8993	−	15.5303i	−1.34328	−	0.775546i	−0.355997	−	0.934487i	$-0.615859\pi$
$401$	−26.8993	−	15.5303i	−1.34328	−	0.775546i	−0.987288	+	0.158941i	$0.949192\pi$
$402$	30.7360	+	1.50794i	1.53297	+	0.0752094i
$403$	−1.27271	−	9.66720i	−0.0633982	−	0.481557i
$404$	−8.19425	+	6.52079i	−0.407679	+	0.324421i
$405$	6.68765	+	8.18786i	0.332312	+	0.406858i
$406$	4.48943	−	2.64511i	0.222807	−	0.131274i
$407$	−1.16453	+	4.34608i	−0.0577235	+	0.215427i
$408$	11.1987	−	8.04804i	0.554419	−	0.398437i
$409$	−1.98113	−	7.39368i	−0.0979606	−	0.365594i	0.899491	−	0.436939i	$-0.143937\pi$
$409$	−1.98113	−	7.39368i	−0.0979606	−	0.365594i	−0.997452	+	0.0713452i	$0.977271\pi$
$410$	2.19734	+	2.15887i	0.108519	+	0.106619i
$411$	−1.87208	+	32.3232i	−0.0923428	+	1.59439i
$412$	35.7907	−	0.632193i	1.76328	−	0.0311459i
$413$	3.21099	−	7.75202i	0.158003	−	0.381452i
$414$	6.98569	−	28.8237i	0.343328	−	1.41661i
$415$	10.1607			0.498768
$416$	−7.60190	+	8.30471i	−0.372714	+	0.407172i
$417$	0.569435	−	0.0416696i	0.0278853	−	0.00204057i
$418$	−8.41530	+	20.8348i	−0.411606	+	1.01907i
$419$	1.91685	+	2.49808i	0.0936440	+	0.122039i	0.837825	−	0.545938i	$-0.183827\pi$
$419$	1.91685	+	2.49808i	0.0936440	+	0.122039i	−0.744181	+	0.667978i	$0.767160\pi$
$420$	−5.23602	−	2.41969i	−0.255492	−	0.118069i
$421$	−21.3475	−	16.3805i	−1.04042	−	0.798339i	−0.0605835	−	0.998163i	$-0.519296\pi$
$421$	−21.3475	−	16.3805i	−1.04042	−	0.798339i	−0.979832	+	0.199824i	$0.935963\pi$
$422$	−5.08718	+	19.6791i	−0.247640	+	0.957965i
$423$	5.45492	−	7.33717i	0.265227	−	0.356745i
$424$	−25.7106	+	27.1103i	−1.24862	+	1.31659i
$425$	−2.63758	+	9.84357i	−0.127941	+	0.477483i
$426$	0.427864	+	5.21395i	0.0207301	+	0.252617i
$427$	2.83317	+	0.372994i	0.137107	+	0.0180505i
$428$	−6.84035	+	1.02375i	−0.330641	+	0.0494850i
$429$	1.85853	+	8.98613i	0.0897307	+	0.433854i
$430$	9.57294	+	1.17440i	0.461648	+	0.0566344i
$431$			6.63033i			0.319372i	0.987168	+	0.159686i	$0.0510482\pi$
$431$			6.63033i			0.319372i	−0.987168	+	0.159686i	$0.948952\pi$
$432$	20.6261	−	2.56171i	0.992376	−	0.123250i
$433$			24.7816i			1.19093i	0.803382	+	0.595464i	$0.203032\pi$
$433$			24.7816i			1.19093i	−0.803382	+	0.595464i	$0.796968\pi$
$434$	1.19589	−	9.74812i	0.0574045	−	0.467925i
$435$	1.07109	+	5.17882i	0.0513550	+	0.248305i
$436$	4.44381	−	6.00809i	0.212820	−	0.287735i
$437$	41.3686	+	5.44628i	1.97893	+	0.260531i
$438$	16.8413	−	1.38202i	0.804710	−	0.0660355i
$439$	0.219725	−	0.820025i	0.0104869	−	0.0391376i	−0.960484	−	0.278335i	$-0.910218\pi$
$439$	0.219725	−	0.820025i	0.0104869	−	0.0391376i	0.970971	+	0.239197i	$0.0768842\pi$
$440$	3.16686	−	8.25766i	0.150974	−	0.393668i
$441$	−14.8718	−	1.72847i	−0.708181	−	0.0823082i
$442$	7.67112	+	1.98303i	0.364878	+	0.0943233i
$443$	3.73209	+	2.86374i	0.177317	+	0.136060i	0.693607	−	0.720354i	$-0.256021\pi$
$443$	3.73209	+	2.86374i	0.177317	+	0.136060i	−0.516290	+	0.856414i	$0.672687\pi$
$444$	2.02155	+	5.49525i	0.0959387	+	0.260793i
$445$	−3.29598	−	4.29540i	−0.156244	−	0.203622i
$446$	−22.6390	−	9.14399i	−1.07199	−	0.432981i
$447$	−34.6116	+	2.53277i	−1.63707	+	0.119796i
$448$	−9.50679	+	6.18224i	−0.449154	+	0.292083i
$449$	18.4404			0.870256			0.435128	−	0.900369i	$-0.356703\pi$
$449$	18.4404			0.870256			0.435128	+	0.900369i	$0.356703\pi$
$450$	−10.5965	+	11.1183i	−0.499524	+	0.524121i
$451$	1.88895	−	4.56032i	0.0889471	−	0.214737i
$452$	−21.0868	+	21.8451i	−0.991840	+	1.02751i
$453$	1.55438	−	26.8379i	0.0730311	−	1.26095i
$454$	−13.4819	+	13.7222i	−0.632739	+	0.644014i
$455$	−0.857725	−	3.20107i	−0.0402108	−	0.150069i
$456$	6.67892	+	28.4686i	0.312769	+	1.33316i
$457$	−9.73598	+	36.3352i	−0.455430	+	1.69969i	0.231390	+	0.972861i	$0.425673\pi$
$457$	−9.73598	+	36.3352i	−0.455430	+	1.69969i	−0.686820	+	0.726827i	$0.740994\pi$
$458$	7.36679	+	12.5033i	0.344228	+	0.584243i
$459$	−8.40149	−	11.9737i	−0.392148	−	0.558885i
$460$	−16.3177	−	1.85572i	−0.760817	−	0.0865235i
$461$	−3.18921	−	24.2245i	−0.148536	−	1.12825i	−0.889577	−	0.456785i	$-0.849001\pi$
$461$	−3.18921	−	24.2245i	−0.148536	−	1.12825i	0.741040	−	0.671460i	$-0.234333\pi$
$462$	−0.452915	+	9.23164i	−0.0210715	+	0.429495i
$463$	−10.1880	−	5.88202i	−0.473475	−	0.273361i	0.244218	−	0.969720i	$-0.421469\pi$
$463$	−10.1880	−	5.88202i	−0.473475	−	0.273361i	−0.717693	+	0.696360i	$0.754802\pi$
$464$	9.74022	+	3.63709i	0.452178	+	0.168848i
$465$	8.97296	+	4.34054i	0.416111	+	0.201288i
$466$	4.21658	+	0.517285i	0.195329	+	0.0239628i
$467$	6.57608	+	2.72390i	0.304305	+	0.126047i	0.529610	−	0.848241i	$-0.322338\pi$
$467$	6.57608	+	2.72390i	0.304305	+	0.126047i	−0.225306	+	0.974288i	$0.572338\pi$
$468$	8.71681	+	8.16204i	0.402935	+	0.377291i
$469$	6.81494	+	16.4527i	0.314685	+	0.759716i
$470$	−4.40662	−	2.49254i	−0.203262	−	0.114972i
$471$	4.45536	+	3.84776i	0.205292	+	0.177295i
$472$	16.0514	−	4.76009i	0.738824	−	0.219101i
$473$	−3.99995	−	14.9280i	−0.183918	−	0.686391i
$474$	6.07579	−	33.4039i	0.279070	−	1.53429i
$475$	−17.1432	−	13.1544i	−0.786583	−	0.603566i
$476$	6.98084	+	3.86764i	0.319966	+	0.177273i
$477$	28.4448	+	27.5933i	1.30240	+	1.26341i
$478$	5.54462	−	0.779835i	0.253605	−	0.0356688i
$479$	−4.53042	−	7.84692i	−0.207000	−	0.358535i	0.743768	−	0.668438i	$-0.233037\pi$
$479$	−4.53042	−	7.84692i	−0.207000	−	0.358535i	−0.950768	+	0.309903i	$0.899703\pi$
$480$	−2.82625	−	11.1569i	−0.129000	−	0.509238i
$481$	−1.68205	+	2.91340i	−0.0766949	+	0.132839i
$482$	8.92974	−	22.1085i	0.406738	−	1.00702i
$483$	16.8075	−	3.47615i	0.764766	−	0.158170i
$484$	7.82706	−	0.138254i	0.355776	−	0.00628428i
$485$	17.7694	−	7.36034i	0.806868	−	0.334216i
$486$	−2.46975	−	21.9066i	−0.112030	−	0.993705i
$487$	−16.5573	+	16.5573i	−0.750285	+	0.750285i	−0.974532	−	0.224247i	$-0.928008\pi$
$487$	−16.5573	+	16.5573i	−0.750285	+	0.750285i	0.224247	+	0.974532i	$0.428008\pi$
$488$	2.98076	+	4.86075i	0.134933	+	0.220036i
$489$	1.12761	−	5.90289i	0.0509922	−	0.266938i
$490$	0.0732118	+	8.29022i	0.00330737	+	0.374514i
$491$	24.8859	+	3.27629i	1.12309	+	0.147857i	0.669114	−	0.743160i	$-0.266674\pi$
$491$	24.8859	+	3.27629i	1.12309	+	0.147857i	0.453971	+	0.891016i	$0.350007\pi$
$492$	−1.41189	−	6.26646i	−0.0636528	−	0.282514i
$493$	−0.955059	−	7.25440i	−0.0430137	−	0.326722i
$494$	−10.1094	+	13.4185i	−0.454842	+	0.603727i
$495$	−8.72006	−	3.45770i	−0.391937	−	0.155412i
$496$	16.6145	−	10.3915i	0.746014	−	0.466594i
$497$	−2.62185	+	1.51373i	−0.117606	+	0.0679000i
$498$	−17.8080	−	11.4803i	−0.797997	−	0.514446i
$499$	9.67618	−	7.42479i	0.433165	−	0.332379i	−0.369055	−	0.929408i	$-0.620319\pi$
$499$	9.67618	−	7.42479i	0.433165	−	0.332379i	0.802220	+	0.597028i	$0.203652\pi$
$500$	16.2818	+	12.0427i	0.728146	+	0.538565i
$501$	−10.5823	−	21.0541i	−0.472784	−	0.940628i
$502$	−20.0287	+	35.4092i	−0.893923	+	1.58039i
$503$	−9.47938	−	9.47938i	−0.422664	−	0.422664i	0.463456	−	0.886120i	$-0.346609\pi$
$503$	−9.47938	−	9.47938i	−0.422664	−	0.422664i	−0.886120	+	0.463456i	$0.846609\pi$
$504$	6.44291	+	10.1569i	0.286990	+	0.452425i
$505$	4.34914	−	4.34914i	0.193534	−	0.193534i
$506$	7.03527	+	25.3581i	0.312756	+	1.12731i
$507$	0.905223	−	15.6295i	0.0402023	−	0.694132i
$508$	9.17567	−	36.8343i	0.407105	−	1.63426i
$509$	−1.94829	−	2.53906i	−0.0863565	−	0.112542i	0.748177	−	0.663499i	$-0.230929\pi$
$509$	−1.94829	−	2.53906i	−0.0863565	−	0.112542i	−0.834533	+	0.550957i	$0.814263\pi$
$510$	−6.00109	+	5.43979i	−0.265733	+	0.240878i
$511$	4.88942	+	8.46872i	0.216295	+	0.374634i
$512$	−21.5265	−	6.97207i	−0.951346	−	0.308125i
$513$	30.2736	−	6.74246i	1.33661	−	0.297687i
$514$	−4.22884	−	30.0670i	−0.186526	−	1.32620i
$515$	−20.8444	+	2.74421i	−0.918513	+	0.120924i
$516$	−15.4510	−	12.8746i	−0.680193	−	0.566771i
$517$	−1.05889	+	8.04306i	−0.0465699	+	0.353733i
$518$	−2.37475	+	2.41706i	−0.104340	+	0.106200i
$519$	−8.04833	−	23.1308i	−0.353283	−	1.01533i
$520$	3.88508	−	5.35087i	0.170372	−	0.234651i
$521$	7.74275	+	7.74275i	0.339216	+	0.339216i	0.856072	−	0.516856i	$-0.172898\pi$
$521$	7.74275	+	7.74275i	0.339216	+	0.339216i	−0.516856	+	0.856072i	$0.672898\pi$
$522$	3.97419	−	10.2868i	0.173946	−	0.450242i
$523$	−8.87458	−	21.4251i	−0.388058	−	0.936856i	−0.990351	−	0.138581i	$-0.955746\pi$
$523$	−8.87458	−	21.4251i	−0.388058	−	0.936856i	0.602293	−	0.798275i	$-0.294254\pi$
$524$	−29.9141	+	13.0144i	−1.30680	+	0.568539i
$525$	−8.43807	−	2.79303i	−0.368268	−	0.121898i
$526$	−37.3585	+	15.8624i	−1.62891	+	0.691632i
$527$	−11.9435	−	6.89557i	−0.520266	−	0.300376i
$528$	−14.8805	+	10.8946i	−0.647592	+	0.474125i
$529$	22.4015	−	12.9335i	0.973977	−	0.562326i
$530$	13.2047	−	17.5270i	0.573574	−	0.761324i
$531$	−4.85616	−	17.0810i	−0.210740	−	0.741252i
$532$	−13.2412	+	10.5370i	−0.574077	+	0.456837i
$533$	2.24669	−	2.92794i	0.0973148	−	0.126823i
$534$	0.923383	+	11.2524i	0.0399587	+	0.486937i
$535$	3.92386	−	1.05140i	0.169643	−	0.0454558i
$536$	−16.9454	+	31.2328i	−0.731929	+	1.34905i
$537$	−35.8721	−	6.85253i	−1.54800	−	0.295708i
$538$	−7.18702	+	1.99394i	−0.309854	+	0.0859650i
$539$	12.2735	−	5.08384i	0.528656	−	0.218977i
$540$	−11.8667	+	2.86381i	−0.510663	+	0.123239i
$541$	7.67354	−	18.5256i	0.329911	−	0.796476i	−0.668687	−	0.743544i	$-0.733143\pi$
$541$	7.67354	−	18.5256i	0.329911	−	0.796476i	0.998598	−	0.0529318i	$-0.0168566\pi$
$542$	5.62614	+	7.19959i	0.241664	+	0.309249i
$543$	−8.77506	−	12.9192i	−0.376574	−	0.554418i
$544$	2.77336	+	15.6807i	0.118907	+	0.672305i
$545$	−2.19453	+	3.80105i	−0.0940035	+	0.162819i
$546$	−2.11354	+	6.57946i	−0.0904513	+	0.281575i
$547$	33.4079	−	4.39824i	1.42842	−	0.188055i	0.623679	−	0.781681i	$-0.285637\pi$
$547$	33.4079	−	4.39824i	1.42842	−	0.188055i	0.804741	+	0.593626i	$0.202304\pi$
$548$	−32.7025	−	18.1184i	−1.39698	−	0.773979i
$549$	5.19099	−	3.10312i	0.221546	−	0.132438i
$550$	3.41087	−	13.1945i	0.145440	−	0.562617i
$551$	14.9862	+	4.01555i	0.638435	+	0.171068i
$552$	26.5024	+	21.6895i	1.12802	+	0.923165i
$553$	18.9785	−	5.08528i	0.807048	−	0.216248i
$554$	0.315781	+	35.7578i	0.0134163	+	1.51920i
$555$	−1.54441	−	3.07269i	−0.0655566	−	0.130428i
$556$	−0.241501	+	0.613460i	−0.0102419	+	0.0260165i
$557$	17.3759	+	7.19735i	0.736242	+	0.304961i	0.719114	−	0.694892i	$-0.244548\pi$
$557$	17.3759	+	7.19735i	0.736242	+	0.304961i	0.0171278	+	0.999853i	$0.494548\pi$
$558$	−10.8221	−	17.7458i	−0.458136	−	0.751239i
$559$		−	11.5551i		−	0.488728i
$560$	5.13757	−	4.23868i	0.217102	−	0.179117i
$561$	11.6836	+	5.65180i	0.493284	+	0.238619i
$562$	−2.62560	+	1.11482i	−0.110754	+	0.0470260i
$563$	−27.9963	+	21.4823i	−1.17990	+	0.905370i	−0.996972	−	0.0777557i	$-0.975225\pi$
$563$	−27.9963	+	21.4823i	−1.17990	+	0.905370i	−0.182929	+	0.983126i	$0.558558\pi$
$564$	4.90696	+	9.34748i	0.206620	+	0.393600i
$565$	10.8558	−	14.1476i	0.456707	−	0.595193i
$566$	2.97831	+	5.05496i	0.125188	+	0.212476i
$567$	10.8496	−	6.71158i	0.455639	−	0.281860i
$568$	−5.64024	−	2.16306i	−0.236659	−	0.0907601i
$569$	20.7882	+	5.57017i	0.871485	+	0.233514i	0.666730	−	0.745299i	$-0.267693\pi$
$569$	20.7882	+	5.57017i	0.871485	+	0.233514i	0.204755	+	0.978813i	$0.434360\pi$
$570$	−5.78695	−	16.1701i	−0.242389	−	0.677291i
$571$	−0.700786	+	5.32299i	−0.0293270	+	0.222760i	−0.999832	−	0.0183197i	$-0.994168\pi$
$571$	−0.700786	+	5.32299i	−0.0293270	+	0.222760i	0.970505	+	0.241080i	$0.0775017\pi$
$572$	−10.2817	−	2.56123i	−0.429899	−	0.107091i
$573$	14.1898	+	15.9346i	0.592789	+	0.665676i
$574$	2.92904	−	2.28891i	0.122256	−	0.0955371i
$575$	−25.3068			−1.05537
$576$	−7.65249	+	22.7473i	−0.318854	+	0.947804i
$577$	−3.17448			−0.132155			−0.0660776	−	0.997814i	$-0.521049\pi$
$577$	−3.17448			−0.132155			−0.0660776	+	0.997814i	$0.521049\pi$
$578$	−10.1133	+	7.90309i	−0.420659	+	0.328725i
$579$	−1.28522	+	3.88281i	−0.0534120	+	0.161364i
$580$	−5.92546	−	1.47607i	−0.246041	−	0.0612905i
$581$	1.60043	−	12.1565i	0.0663971	−	0.504336i
$582$	−39.4597	−	7.17727i	−1.63566	−	0.297508i
$583$	−33.9655	−	9.10102i	−1.40671	−	0.376926i
$584$	−6.98680	+	18.2183i	−0.289116	+	0.753877i
$585$	−5.62853	−	4.18461i	−0.232711	−	0.173012i
$586$	−13.6896	−	23.2348i	−0.565512	−	0.959820i
$587$	22.4284	−	29.2292i	0.925717	−	1.20642i	−0.0524549	−	0.998623i	$-0.516705\pi$
$587$	22.4284	−	29.2292i	0.925717	−	1.20642i	0.978172	−	0.207795i	$-0.0666288\pi$
$588$	9.23863	−	14.6125i	0.380995	−	0.602610i
$589$	23.1997	−	17.8018i	0.955927	−	0.733509i
$590$	−9.05116	+	3.84310i	−0.372630	+	0.158218i
$591$	10.1548	−	6.89737i	0.417712	−	0.283720i
$592$	−6.73025	−	0.645217i	−0.276611	−	0.0265183i
$593$		−	0.0754640i		−	0.00309893i	−0.999999	−	0.00154947i	$-0.999507\pi$
$593$		−	0.0754640i		−	0.00309893i	0.999999	−	0.00154947i	$-0.000493211\pi$
$594$	11.3764	+	15.9127i	0.466778	+	0.652907i
$595$	−4.33047	−	1.79374i	−0.177532	−	0.0735362i
$596$	14.6790	−	37.2875i	0.601274	−	1.52736i
$597$	−4.68297	+	7.12515i	−0.191661	+	0.291613i
$598$	0.173753	+	19.6751i	0.00710529	+	0.804575i
$599$	−1.12530	+	0.301522i	−0.0459784	+	0.0123199i	−0.281735	−	0.959492i	$-0.590910\pi$
$599$	−1.12530	+	0.301522i	−0.0459784	+	0.0123199i	0.235757	+	0.971812i	$0.424243\pi$
$600$	−6.26986	−	16.5899i	−0.255966	−	0.677280i
$601$	46.9662	+	12.5846i	1.91579	+	0.513335i	0.991200	+	0.132372i	$0.0422593\pi$
$601$	46.9662	+	12.5846i	1.91579	+	0.513335i	0.924590	+	0.380963i	$0.124407\pi$
$602$	2.91294	−	11.2683i	0.118722	−	0.459263i
$603$	32.9222	+	18.3464i	1.34070	+	0.747124i
$604$	27.1528	+	15.0436i	1.10483	+	0.612116i
$605$	−4.55845	+	0.600131i	−0.185327	+	0.0243988i
$606$	−12.5365	+	2.70848i	−0.509260	+	0.110025i
$607$	−5.17415	+	8.96190i	−0.210012	+	0.363752i	−0.951718	−	0.306973i	$-0.900684\pi$
$607$	−5.17415	+	8.96190i	−0.210012	+	0.363752i	0.741706	+	0.670725i	$0.234017\pi$
$608$	−32.9687	−	7.29095i	−1.33706	−	0.295687i
$609$	6.36478	−	0.465756i	0.257914	−	0.0188734i
$610$	−2.06206	−	2.63875i	−0.0834905	−	0.106840i
$611$	−2.32117	+	5.60380i	−0.0939045	+	0.226706i
$612$	16.6641	−	2.75349i	0.673605	−	0.111303i
$613$	−7.36848	+	3.05212i	−0.297610	+	0.123274i	−0.526492	−	0.850180i	$-0.676493\pi$
$613$	−7.36848	+	3.05212i	−0.297610	+	0.123274i	0.228882	+	0.973454i	$0.426493\pi$
$614$	29.5649	−	8.20240i	1.19314	−	0.331022i
$615$	1.23981	+	3.56320i	0.0499940	+	0.143682i
$616$	−9.38086	−	5.08959i	−0.377965	−	0.205065i
$617$	8.59418	−	2.30280i	0.345989	−	0.0927074i	−0.0816400	−	0.996662i	$-0.526016\pi$
$617$	8.59418	−	2.30280i	0.345989	−	0.0927074i	0.427629	+	0.903955i	$0.359349\pi$
$618$	39.6333	+	18.7420i	1.59429	+	0.753914i
$619$	−14.8407	+	19.3408i	−0.596498	+	0.777371i	−0.989865	−	0.142010i	$-0.954643\pi$
$619$	−14.8407	+	19.3408i	−0.596498	+	0.777371i	0.393367	+	0.919381i	$0.371310\pi$
$620$	−9.00606	+	7.16681i	−0.361692	+	0.287826i
$621$	23.3213	−	27.8483i	0.935850	−	1.11751i
$622$	4.99580	−	6.63109i	0.200313	−	0.265882i
$623$	−5.65829	+	3.26682i	−0.226695	+	0.130882i
$624$	−12.8550	+	4.98849i	−0.514611	+	0.199699i
$625$	5.37504	+	3.10328i	0.215001	+	0.124131i
$626$	18.7528	−	7.96240i	0.749512	−	0.318241i
$627$	−20.5523	+	18.3020i	−0.820781	+	0.730911i
$628$	−6.23324	+	2.71183i	−0.248733	+	0.108214i
$629$	1.82086	+	4.39595i	0.0726024	+	0.175278i
$630$	−4.43395	−	5.49966i	−0.176653	−	0.219112i
$631$	−9.94008	−	9.94008i	−0.395708	−	0.395708i	0.481008	−	0.876716i	$-0.340271\pi$
$631$	−9.94008	−	9.94008i	−0.395708	−	0.395708i	−0.876716	+	0.481008i	$0.840271\pi$
$632$	31.7242	+	23.0338i	1.26192	+	0.916236i
$633$	−16.2712	+	18.8406i	−0.646723	+	0.748847i
$634$	25.3413	−	25.7928i	1.00643	−	1.02436i
$635$	−2.91008	+	22.1043i	−0.115483	+	0.877182i
$636$	−42.9464	+	15.7989i	−1.70294	+	0.626465i
$637$	9.84772	−	1.29648i	0.390181	−	0.0513683i
$638$	1.36283	+	9.68972i	0.0539550	+	0.383620i
$639$	−2.36172	+	5.95608i	−0.0934281	+	0.235619i
$640$	13.0249	+	2.64005i	0.514854	+	0.104357i
$641$	15.9131	+	27.5623i	0.628530	+	1.08865i	0.987847	+	0.155431i	$0.0496766\pi$
$641$	15.9131	+	27.5623i	0.628530	+	1.08865i	−0.359316	+	0.933216i	$0.616990\pi$
$642$	−8.06508	−	2.59077i	−0.318303	−	0.102250i
$643$	−24.8906	−	32.4380i	−0.981589	−	1.27923i	−0.960157	−	0.279461i	$-0.909844\pi$
$643$	−24.8906	−	32.4380i	−0.981589	−	1.27923i	−0.0214319	−	0.999770i	$-0.506823\pi$
$644$	−4.79048	+	19.2306i	−0.188771	+	0.757793i
$645$	9.87115	+	6.48776i	0.388676	+	0.255455i
$646$	6.35259	+	22.8974i	0.249939	+	0.900888i
$647$	−27.2191	+	27.2191i	−1.07009	+	1.07009i	−0.0727404	+	0.997351i	$0.523174\pi$
$647$	−27.2191	+	27.2191i	−1.07009	+	1.07009i	−0.997351	+	0.0727404i	$0.976826\pi$
$648$	24.0339	+	8.38876i	0.944141	+	0.329542i
$649$	11.1417	+	11.1417i	0.437350	+	0.437350i
$650$	5.01666	−	8.86907i	0.196770	−	0.347874i
$651$	6.60649	−	10.0518i	0.258929	−	0.393961i
$652$	5.57908	+	4.12650i	0.218494	+	0.161606i
$653$	15.3440	−	11.7739i	0.600456	−	0.460746i	−0.263260	−	0.964725i	$-0.584798\pi$
$653$	15.3440	−	11.7739i	0.600456	−	0.460746i	0.863716	+	0.503979i	$0.168131\pi$
$654$	8.14096	−	4.18231i	0.318337	−	0.163541i
$655$	16.5932	−	9.58009i	0.648350	−	0.374325i
$656$	7.22786	+	1.66551i	0.282201	+	0.0650272i
$657$	19.2384	+	7.62847i	0.750563	+	0.297615i
$658$	−3.67624	+	4.87959i	−0.143315	+	0.190226i
$659$	−1.99301	−	15.1384i	−0.0776368	−	0.589710i	−0.985404	−	0.170235i	$-0.945547\pi$
$659$	−1.99301	−	15.1384i	−0.0776368	−	0.589710i	0.907767	−	0.419475i	$-0.137786\pi$
$660$	7.96077	−	7.34527i	0.309872	−	0.285914i
$661$	−14.1550	−	1.86354i	−0.550566	−	0.0724835i	−0.149889	−	0.988703i	$-0.547892\pi$
$661$	−14.1550	−	1.86354i	−0.550566	−	0.0724835i	−0.400677	+	0.916219i	$0.631225\pi$
$662$	−0.334723	−	37.9027i	−0.0130094	−	1.47313i
$663$	7.34425	+	6.34268i	0.285227	+	0.246329i
$664$	20.8563	−	12.7898i	0.809383	−	0.496339i
$665$	7.02782	−	7.02782i	0.272527	−	0.272527i
$666$	−0.764965	+	7.13032i	−0.0296418	+	0.276294i
$667$	16.7871	−	6.95346i	0.650000	−	0.269239i
$668$	27.2051	−	0.480540i	1.05260	−	0.0185926i
$669$	−19.8868	−	22.3320i	−0.768868	−	0.863405i
$670$	7.81598	−	19.3510i	0.301958	−	0.747596i
$671$	−2.68313	+	4.64732i	−0.103581	+	0.179408i
$672$	−13.7935	+	1.62406i	−0.532096	+	0.0626495i
$673$	−23.1961	−	40.1769i	−0.894145	−	1.54870i	−0.834859	−	0.550464i	$-0.814451\pi$
$673$	−23.1961	−	40.1769i	−0.894145	−	1.54870i	−0.0592860	−	0.998241i	$-0.518882\pi$
$674$	28.1375	−	3.95745i	1.08381	−	0.152435i
$675$	−17.6703	+	6.45096i	−0.680129	+	0.248298i
$676$	15.8129	+	8.76094i	0.608189	+	0.336959i
$677$	1.39633	+	1.07144i	0.0536652	+	0.0411787i	0.635246	−	0.772310i	$-0.280899\pi$
$677$	1.39633	+	1.07144i	0.0536652	+	0.0411787i	−0.581581	+	0.813489i	$0.697565\pi$
$678$	−35.0114	+	12.5299i	−1.34460	+	0.481207i
$679$	−6.00719	−	22.4191i	−0.230535	−	0.860368i
$680$	−2.65911	−	8.96670i	−0.101972	−	0.343857i
$681$	−22.2519	+	7.74251i	−0.852693	+	0.296693i
$682$	16.0529	+	9.08010i	0.614699	+	0.347695i
$683$	2.87242	+	6.93464i	0.109910	+	0.265347i	0.969259	−	0.246044i	$-0.0791306\pi$
$683$	2.87242	+	6.93464i	0.109910	+	0.265347i	−0.859349	+	0.511390i	$0.829131\pi$
$684$	−8.12782	+	34.8790i	−0.310775	+	1.33363i
$685$	20.2866	+	8.40297i	0.775110	+	0.321061i
$686$	23.8585	+	2.92693i	0.910921	+	0.111751i
$687$	1.29716	+	17.7263i	0.0494898	+	0.676301i
$688$	21.1282	−	9.63932i	0.805505	−	0.367496i
$689$	−22.7688	−	13.1456i	−0.867421	−	0.500806i
$690$	−16.9054	−	10.8984i	−0.643576	−	0.414896i
$691$	1.21301	+	9.21375i	0.0461452	+	0.350508i	0.998905	+	0.0467830i	$0.0148969\pi$
$691$	1.21301	+	9.21375i	0.0461452	+	0.350508i	−0.952760	+	0.303725i	$0.901770\pi$
$692$	28.0987	+	3.19550i	1.06815	+	0.121475i
$693$	−5.51040	+	9.88827i	−0.209323	+	0.375624i
$694$	−0.00480275	−	0.00815150i	−0.000182310	−	0.000309427i
$695$	0.100219	−	0.374023i	0.00380153	−	0.0141875i
$696$	8.71743	+	9.28208i	0.330433	+	0.351836i
$697$	−1.35101	−	5.04205i	−0.0511733	−	0.190981i
$698$	−32.1582	+	32.7313i	−1.21721	+	1.23890i
$699$	4.34793	+	2.85766i	0.164454	+	0.108087i
$700$	7.12798	−	7.38432i	0.269412	−	0.279101i
$701$	14.0735	−	33.9765i	0.531549	−	1.28327i	−0.398947	−	0.916974i	$-0.630624\pi$
$701$	14.0735	−	33.9765i	0.531549	−	1.28327i	0.930497	−	0.366300i	$-0.119376\pi$
$702$	5.13670	+	13.6937i	0.193872	+	0.516835i
$703$	−10.0891			−0.380518
$704$	−3.89388	−	20.9364i	−0.146756	−	0.789070i
$705$	−3.48390	−	5.12923i	−0.131211	−	0.193178i
$706$	−11.7415	−	4.74247i	−0.441899	−	0.178485i
$707$	−4.51838	−	5.88847i	−0.169931	−	0.221459i
$708$	20.2057	+	3.49113i	0.759376	+	0.131205i
$709$	34.2647	+	26.2922i	1.28684	+	0.987425i	0.999563	+	0.0295766i	$0.00941591\pi$
$709$	34.2647	+	26.2922i	1.28684	+	0.987425i	0.287275	+	0.957848i	$0.407251\pi$
$710$	3.43502	+	0.887974i	0.128914	+	0.0333251i
$711$	24.8097	−	33.3704i	0.930435	−	1.25149i
$712$	−12.1724	−	4.66816i	−0.456178	−	0.174947i
$713$	8.86390	−	33.0805i	0.331956	−	1.23888i
$714$	5.56306	+	8.03670i	0.208192	+	0.300766i
$715$	6.17004	+	0.812301i	0.230746	+	0.0303783i
$716$	25.0769	−	33.9043i	0.937169	−	1.26706i
$717$	6.51021	+	2.15490i	0.243128	+	0.0804762i
$718$	4.53338	−	36.9532i	0.169184	−	1.37908i
$719$			40.2345i			1.50049i	0.661157	+	0.750247i	$0.270066\pi$
$719$			40.2345i			1.50049i	−0.661157	+	0.750247i	$0.729934\pi$
$720$	2.95610	−	13.7825i	0.110167	−	0.513642i
$721$			25.3710i			0.944865i
$722$	−23.3404	−	2.86337i	−0.868639	−	0.106564i
$723$	21.8087	−	19.4208i	0.811076	−	0.722268i
$724$	17.8350	−	2.66926i	0.662832	−	0.0992022i
$725$	−9.32936	−	1.22823i	−0.346484	−	0.0456154i
$726$	8.66740	+	4.09868i	0.321677	+	0.152116i
$727$	−8.20101	+	30.6066i	−0.304159	+	1.13514i	0.629509	+	0.776993i	$0.283256\pi$
$727$	−8.20101	+	30.6066i	−0.304159	+	1.13514i	−0.933667	+	0.358142i	$0.883410\pi$
$728$	−5.78997	−	5.49103i	−0.214591	−	0.203511i
$729$	9.18507	−	25.3897i	0.340188	−	0.940357i
$730$	2.86820	−	11.0953i	0.106157	−	0.410655i
$731$	−12.9661	−	9.94921i	−0.479567	−	0.367985i
$732$	0.632585	+	6.95467i	0.0233810	+	0.257052i
$733$	26.9228	+	35.0864i	0.994415	+	1.29595i	0.954963	+	0.296726i	$0.0958947\pi$
$733$	26.9228	+	35.0864i	0.994415	+	1.29595i	0.0394525	+	0.999221i	$0.487439\pi$
$734$	8.52761	−	21.1129i	0.314760	−	0.779292i
$735$	−4.42160	+	9.14052i	−0.163093	+	0.337153i
$736$	−35.8305	+	16.7308i	−1.32073	+	0.616705i
$737$	−33.4418			−1.23184
$738$	1.85304	−	7.64586i	0.0682114	−	0.281448i
$739$	8.10556	−	19.5686i	0.298168	−	0.719841i	−0.701804	−	0.712370i	$-0.747622\pi$
$739$	8.10556	−	19.5686i	0.298168	−	0.719841i	0.999972	−	0.00747107i	$-0.00237814\pi$
$740$	3.97038	−	0.0701311i	0.145954	−	0.00257807i
$741$	−18.3846	+	9.24059i	−0.675376	+	0.339461i
$742$	−18.8898	−	18.5591i	−0.693468	−	0.681327i
$743$	11.3359	+	42.3060i	0.415873	+	1.55206i	0.783081	+	0.621919i	$0.213647\pi$
$743$	11.3359	+	42.3060i	0.415873	+	1.55206i	−0.367209	+	0.930139i	$0.619687\pi$
$744$	23.8820	−	2.38509i	0.875558	−	0.0874416i
$745$	−6.09156	+	22.7340i	−0.223177	+	0.832909i
$746$	14.8913	−	8.77371i	0.545208	−	0.321228i
$747$	−13.3148	−	22.2733i	−0.487163	−	0.814939i
$748$	−11.7268	+	9.33187i	−0.428773	+	0.341207i
$749$	−0.639860	−	4.86022i	−0.0233800	−	0.177589i
$750$	11.3340	+	22.0619i	0.413860	+	0.805586i
$751$	22.1369	+	12.7808i	0.807788	+	0.466377i	0.846187	−	0.532886i	$-0.178892\pi$
$751$	22.1369	+	12.7808i	0.807788	+	0.466377i	−0.0383990	+	0.999262i	$0.512226\pi$
$752$	−12.1828	+	0.430517i	−0.444259	+	0.0156993i
$753$	−41.2157	+	27.9947i	−1.50198	+	1.02018i
$754$	−0.890851	+	7.26166i	−0.0324429	+	0.264454i
$755$	−16.8439	−	6.97695i	−0.613011	−	0.253917i
$756$	1.55717	+	14.6488i	0.0566337	+	0.532770i
$757$	13.8620	+	33.4658i	0.503823	+	1.21634i	0.947386	+	0.320093i	$0.103714\pi$
$757$	13.8620	+	33.4658i	0.503823	+	1.21634i	−0.443564	+	0.896243i	$0.646286\pi$
$758$	6.09387	−	10.7735i	0.221339	−	0.391311i
$759$	−6.04749	+	31.6579i	−0.219510	+	1.14911i
$760$	19.7233	+	2.06677i	0.715440	+	0.0749696i
$761$	−11.3762	−	42.4564i	−0.412385	−	1.53904i	−0.790016	−	0.613086i	$-0.789928\pi$
$761$	−11.3762	−	42.4564i	−0.412385	−	1.53904i	0.377631	−	0.925956i	$-0.376739\pi$
$762$	30.0755	−	35.4529i	1.08952	−	1.28432i
$763$	4.20200	+	3.22431i	0.152123	+	0.116728i
$764$	−23.6819	+	6.79600i	−0.856779	+	0.245871i
$765$	−9.54188	+	2.71278i	−0.344987	+	0.0980806i
$766$	4.32837	+	30.7747i	0.156390	+	1.11193i
$767$	5.89049	+	10.2026i	0.212693	+	0.368396i
$768$	−19.8450	−	19.3436i	−0.716096	−	0.698002i
$769$	−20.4700	+	35.4551i	−0.738167	+	1.27854i	0.215154	+	0.976580i	$0.430975\pi$
$769$	−20.4700	+	35.4551i	−0.738167	+	1.27854i	−0.953320	+	0.301962i	$0.902359\pi$
$770$	5.81214	+	2.34755i	0.209455	+	0.0845999i
$771$	11.6855	−	35.3032i	0.420842	−	1.27141i
$772$	−3.39792	−	3.27996i	−0.122294	−	0.118048i
$773$	−15.7654	+	6.53025i	−0.567043	+	0.234877i	−0.647740	−	0.761862i	$-0.724286\pi$
$773$	−15.7654	+	6.53025i	−0.567043	+	0.234877i	0.0806966	+	0.996739i	$0.474286\pi$
$774$	−9.97020	−	22.5239i	−0.358371	−	0.809606i
$775$	−12.5411	+	12.5411i	−0.450490	+	0.450490i
$776$	27.2097	−	37.4755i	0.976770	−	1.34529i
$777$	−3.91951	+	1.36379i	−0.140611	+	0.0489256i
$778$	−25.3690	+	0.224037i	−0.909523	+	0.00803210i
$779$	10.9736	+	1.44470i	0.393169	+	0.0517616i
$780$	7.17069	−	3.76425i	0.256752	−	0.134782i
$781$	−0.742066	−	5.63655i	−0.0265532	−	0.201692i
$782$	22.2272	+	16.7458i	0.794843	+	0.598827i
$783$	9.94897	−	9.13440i	0.355547	−	0.326437i
$784$	10.5856	+	16.9248i	0.378057	+	0.604457i
$785$	3.45754	−	1.99621i	0.123405	−	0.0712479i
$786$	−39.9063	−	1.95785i	−1.42341	−	0.0698342i
$787$	10.7234	−	8.22836i	0.382248	−	0.293309i	−0.399708	−	0.916642i	$-0.630889\pi$
$787$	10.7234	−	8.22836i	0.382248	−	0.293309i	0.781956	+	0.623333i	$0.214222\pi$
$788$	2.09809	+	14.0186i	0.0747413	+	0.499394i
$789$	−49.6251	−	2.87416i	−1.76670	−	0.102323i
$790$	−20.0419	−	11.3364i	−0.713058	−	0.403331i
$791$	−15.2166	−	15.2166i	−0.541040	−	0.541040i
$792$	−22.2516	+	3.87892i	−0.790678	+	0.137831i
$793$	−2.83708	+	2.83708i	−0.100748	+	0.100748i
$794$	44.0493	−	12.2209i	1.56325	−	0.433704i
$795$	24.0137	−	12.0699i	0.851677	−	0.428075i
$796$	−5.07248	−	8.43804i	−0.179789	−	0.299078i
$797$	0.533412	+	0.695156i	0.0188944	+	0.0246237i	0.802705	−	0.596376i	$-0.203393\pi$
$797$	0.533412	+	0.695156i	0.0188944	+	0.0246237i	−0.783811	+	0.621000i	$0.786727\pi$
$798$	−20.2578	+	4.37666i	−0.717120	+	0.154932i
$799$	4.28949	+	7.42961i	0.151751	+	0.262841i
$800$	20.4018	+	1.77421i	0.721313	+	0.0627279i
$801$	−5.09689	+	12.8540i	−0.180090	+	0.454172i
$802$	43.4982	−	6.11789i	1.53597	−	0.216030i
$803$	−18.2064	+	2.39691i	−0.642488	+	0.0845852i
$804$	−35.5630	+	25.0843i	−1.25421	+	0.884656i
$805$	1.51931	−	11.5403i	0.0535486	−	0.406742i
$806$	9.83634	+	9.66413i	0.346470	+	0.340404i
$807$	−8.97250	−	1.71399i	−0.315847	−	0.0603351i
$808$	3.45280	−	14.4018i	0.121469	−	0.506652i
$809$	0.122075	+	0.122075i	0.00429191	+	0.00429191i	0.709249	−	0.704958i	$-0.249034\pi$
$809$	0.122075	+	0.122075i	0.00429191	+	0.00429191i	−0.704958	+	0.709249i	$0.749034\pi$
$810$	−14.5821	−	3.30038i	−0.512364	−	0.115964i
$811$	16.6792	+	40.2672i	0.585687	+	1.41397i	0.887590	+	0.460635i	$0.152378\pi$
$811$	16.6792	+	40.2672i	0.585687	+	1.41397i	−0.301903	+	0.953339i	$0.597622\pi$
$812$	−2.69934	+	6.85687i	−0.0947284	+	0.240629i
$813$	2.26651	+	10.9588i	0.0794901	+	0.384340i
$814$	−2.48687	−	5.85701i	−0.0871648	−	0.205288i
$815$	−3.52963	−	2.03783i	−0.123638	−	0.0713822i
$816$	−5.47083	+	18.7199i	−0.191517	+	0.655327i
$817$	30.0115	−	17.3272i	1.04997	−	0.606200i
$818$	8.64598	+	6.51380i	0.302300	+	0.227750i
$819$	−5.89314	+	6.07499i	−0.205923	+	0.212277i
$820$	−4.32848	−	0.492254i	−0.151157	−	0.0171903i
$821$	−17.4578	+	22.7514i	−0.609281	+	0.794030i	−0.991509	−	0.130038i	$-0.958490\pi$
$821$	−17.4578	+	22.7514i	−0.609281	+	0.794030i	0.382228	+	0.924068i	$0.375157\pi$
$822$	−26.0607	−	37.6488i	−0.908973	−	1.31315i
$823$	42.5348	−	11.3972i	1.48267	−	0.397281i	0.575416	−	0.817861i	$-0.304840\pi$
$823$	42.5348	−	11.3972i	1.48267	−	0.397281i	0.907255	+	0.420580i	$0.138174\pi$
$824$	−39.3320	+	31.8708i	−1.37019	+	1.11027i
$825$	10.9096	−	12.6323i	0.379823	−	0.439801i
$826$	3.17232	+	11.4344i	0.110379	+	0.397853i
$827$	−22.4660	+	9.30572i	−0.781219	+	0.323591i	−0.737407	−	0.675448i	$-0.763950\pi$
$827$	−22.4660	+	9.30572i	−0.781219	+	0.323591i	−0.0438116	+	0.999040i	$0.513950\pi$
$828$	17.3152	+	38.2021i	0.601743	+	1.32761i
$829$	0.159802	−	0.385795i	0.00555014	−	0.0133992i	−0.921080	−	0.389373i	$-0.872692\pi$
$829$	0.159802	−	0.385795i	0.00555014	−	0.0133992i	0.926630	+	0.375974i	$0.122692\pi$
$830$	−11.3223	+	8.84784i	−0.393002	+	0.307113i
$831$	−19.0715	+	39.4254i	−0.661582	+	1.36765i
$832$	1.23931	−	15.8738i	0.0429653	−	0.550326i
$833$	7.02434	−	12.1665i	0.243379	−	0.421545i
$834$	−0.598250	+	0.542293i	−0.0207157	+	0.0187781i
$835$	−15.8441	+	2.08592i	−0.548309	+	0.0721862i
$836$	−8.76546	−	30.5448i	−0.303160	−	1.05641i
$837$	−2.24341	−	25.3577i	−0.0775437	−	0.876490i
$838$	−4.31130	−	1.11450i	−0.148931	−	0.0384997i
$839$	−28.3883	−	7.60661i	−0.980072	−	0.262609i	−0.266997	−	0.963697i	$-0.586031\pi$
$839$	−28.3883	−	7.60661i	−0.980072	−	0.262609i	−0.713075	+	0.701088i	$0.752698\pi$
$840$	7.94167	−	1.86317i	0.274014	−	0.0642855i
$841$	−21.4858	+	5.75710i	−0.740889	+	0.198521i
$842$	38.0521	−	0.336043i	1.31136	−	0.0115808i
$843$	−3.48771	−	0.201999i	−0.120123	−	0.00695722i
$844$	−11.4677	−	26.3588i	−0.394734	−	0.907308i
$845$	−9.80934	−	4.06316i	−0.337452	−	0.139777i
$846$	0.310609	+	12.9261i	0.0106790	+	0.444408i
$847$			5.54837i			0.190644i
$848$	5.04250	−	52.5982i	0.173160	−	1.80623i
$849$	0.524427	+	7.16655i	0.0179983	+	0.245955i
$850$	−5.63260	−	13.2657i	−0.193196	−	0.455010i
$851$	−9.37415	+	7.19304i	−0.321342	+	0.246574i
$852$	−5.01705	−	5.43746i	−0.171881	−	0.186284i
$853$	−27.6856	+	36.0806i	−0.947938	+	1.23538i	0.0238969	+	0.999714i	$0.492393\pi$
$853$	−27.6856	+	36.0806i	−0.947938	+	1.23538i	−0.971835	+	0.235662i	$0.924274\pi$
$854$	−3.48187	+	2.05147i	−0.119147	+	0.0701998i
$855$	2.42836	−	20.8937i	0.0830481	−	0.714548i
$856$	6.73089	−	7.09732i	0.230057	−	0.242581i
$857$	−40.5045	−	10.8531i	−1.38361	−	0.370736i	−0.511176	−	0.859476i	$-0.670790\pi$
$857$	−40.5045	−	10.8531i	−1.38361	−	0.370736i	−0.872430	+	0.488740i	$0.837457\pi$
$858$	−9.89606	−	8.39507i	−0.337846	−	0.286603i
$859$	−3.75250	+	28.5030i	−0.128034	+	0.972511i	0.799996	+	0.600005i	$0.204835\pi$
$859$	−3.75250	+	28.5030i	−0.128034	+	0.972511i	−0.928030	+	0.372506i	$0.878499\pi$
$860$	−11.6900	+	7.02739i	−0.398626	+	0.239632i
$861$	4.45839	−	0.922094i	0.151942	−	0.0314249i
$862$	−5.77365	−	7.38835i	−0.196651	−	0.251648i
$863$	−13.3705			−0.455136			−0.227568	−	0.973762i	$-0.573077\pi$
$863$	−13.3705			−0.455136			−0.227568	+	0.973762i	$0.573077\pi$
$864$	−20.7535	+	20.8157i	−0.706048	+	0.708164i
$865$	−16.6095			−0.564742
$866$	−21.5797	−	27.6148i	−0.733307	−	0.938388i
$867$	−15.3939	+	3.18379i	−0.522803	+	0.108127i
$868$	7.15599	+	11.9039i	0.242890	+	0.404046i
$869$	−4.81596	+	36.5809i	−0.163370	+	1.24092i
$870$	−5.70322	−	4.83818i	−0.193357	−	0.164030i
$871$	−24.1517	−	6.47144i	−0.818351	−	0.219276i
$872$	0.279950	+	10.5646i	0.00948030	+	0.357763i
$873$	−39.4202	−	29.3074i	−1.33417	−	0.991907i
$874$	−50.8407	+	29.9546i	−1.71971	+	1.01323i
$875$	−8.73784	+	11.3874i	−0.295393	+	0.384964i
$876$	−17.5633	+	16.2053i	−0.593408	+	0.547528i
$877$	−16.7574	+	12.8584i	−0.565856	+	0.434197i	−0.851663	−	0.524091i	$-0.824405\pi$
$877$	−16.7574	+	12.8584i	−0.565856	+	0.434197i	0.285806	+	0.958287i	$0.407739\pi$
$878$	0.469227	+	1.10511i	0.0158356	+	0.0372956i
$879$	−2.41049	−	32.9405i	−0.0813039	−	1.11106i
$880$	3.66180	+	11.9594i	0.123439	+	0.403151i
$881$		−	0.614971i		−	0.0207189i	−0.999946	−	0.0103594i	$-0.996702\pi$
$881$		−	0.614971i		−	0.0207189i	0.999946	−	0.0103594i	$-0.00329757\pi$
$882$	18.0772	−	11.0242i	0.608690	−	0.371204i
$883$	−25.6217	−	10.6128i	−0.862237	−	0.357150i	−0.0926552	−	0.995698i	$-0.529535\pi$
$883$	−25.6217	−	10.6128i	−0.862237	−	0.357150i	−0.769582	+	0.638548i	$0.779535\pi$
$884$	−10.2749	+	4.47021i	−0.345583	+	0.150350i
$885$	−12.0231	−	0.696346i	−0.404151	−	0.0234074i
$886$	−6.65249	+	0.0587488i	−0.223495	+	0.00197371i
$887$	51.6169	−	13.8307i	1.73313	−	0.464390i	0.752227	−	0.658904i	$-0.228979\pi$
$887$	51.6169	−	13.8307i	1.73313	−	0.464390i	0.980900	+	0.194513i	$0.0623128\pi$
$888$	−7.03789	−	4.36313i	−0.236176	−	0.146417i
$889$	25.9878	+	6.96340i	0.871602	+	0.233545i
$890$	7.41320	+	1.91636i	0.248491	+	0.0642365i
$891$	3.84730	+	23.6464i	0.128889	+	0.792185i
$892$	33.1897	−	9.52448i	1.11127	−	0.318903i
$893$	−18.0352	+	2.37437i	−0.603523	+	0.0794554i
$894$	36.3630	−	32.9618i	1.21616	−	1.10241i
$895$	−12.3840	+	21.4497i	−0.413952	+	0.716985i
$896$	5.21020	−	15.1675i	0.174061	−	0.506709i
$897$	−10.4937	+	21.6931i	−0.350376	+	0.724312i
$898$	−20.5486	+	16.0578i	−0.685715	+	0.535855i
$899$	4.87320	−	11.7649i	0.162530	−	0.392383i
$900$	2.12621	−	21.6167i	0.0708735	−	0.720558i
$901$	−34.3552	+	14.2304i	−1.14454	+	0.474083i
$902$	1.86620	+	6.72656i	0.0621375	+	0.223970i
$903$	9.31695	−	10.7882i	0.310049	−	0.359009i
$904$	4.47496	−	42.7048i	0.148835	−	1.42034i
$905$	−10.2308	+	2.74133i	−0.340082	+	0.0911248i
$906$	21.6381	+	31.2596i	0.718879	+	1.03853i
$907$	−11.2469	+	14.6573i	−0.373448	+	0.486687i	−0.941836	−	0.336074i	$-0.890901\pi$
$907$	−11.2469	+	14.6573i	−0.373448	+	0.486687i	0.568387	+	0.822761i	$0.307567\pi$
$908$	3.07408	−	27.0309i	0.102017	−	0.897053i
$909$	−15.2330	−	3.83460i	−0.505248	−	0.127185i
$910$	3.74326	+	2.82013i	0.124088	+	0.0934866i
$911$	3.55419	−	2.05202i	0.117756	−	0.0679863i	−0.439965	−	0.898015i	$-0.645009\pi$
$911$	3.55419	−	2.05202i	0.117756	−	0.0679863i	0.557721	+	0.830028i	$0.311676\pi$
$912$	−32.2327	−	25.9073i	−1.06733	−	0.857876i
$913$	19.9406	+	11.5127i	0.659936	+	0.381014i
$914$	−20.7914	−	48.9672i	−0.687718	−	1.61969i
$915$	−0.830710	−	4.01654i	−0.0274624	−	0.132783i
$916$	−19.0968	−	7.51784i	−0.630977	−	0.248396i
$917$	−8.84823	−	21.3615i	−0.292194	−	0.705420i
$918$	19.7886	+	6.02665i	0.653122	+	0.198909i
$919$	−26.4121	−	26.4121i	−0.871256	−	0.871256i	0.121353	−	0.992609i	$-0.461277\pi$
$919$	−26.4121	−	26.4121i	−0.871256	−	0.871256i	−0.992609	+	0.121353i	$0.961277\pi$
$920$	19.7992	−	12.1415i	0.652759	−	0.400292i
$921$	36.9098	+	7.05075i	1.21622	+	0.232330i
$922$	24.6483	+	24.2168i	0.811749	+	0.797537i
$923$	0.554827	−	4.21433i	0.0182624	−	0.138716i
$924$	−7.53415	−	10.6814i	−0.247855	−	0.351394i
$925$	6.06675	−	0.798703i	0.199473	−	0.0262612i
$926$	16.4747	−	2.31712i	0.541393	−	0.0761454i
$927$	33.3306	+	42.0971i	1.09472	+	1.38265i
$928$	−14.0209	+	4.42881i	−0.460259	+	0.145383i
$929$	−1.65903	−	2.87353i	−0.0544311	−	0.0942774i	0.837526	−	0.546397i	$-0.184001\pi$
$929$	−1.65903	−	2.87353i	−0.0544311	−	0.0942774i	−0.891957	+	0.452120i	$0.850668\pi$
$930$	−13.7785	+	2.97682i	−0.451815	+	0.0976136i
$931$	18.1342	+	23.6329i	0.594324	+	0.774538i
$932$	−5.14909	+	3.09535i	−0.168664	+	0.101391i
$933$	9.08523	−	4.56647i	0.297437	−	0.149500i
$934$	−9.69984	+	2.69109i	−0.317388	+	0.0880552i
$935$	6.22404	−	6.22404i	0.203548	−	0.203548i
$936$	−16.8208	−	1.50463i	−0.549805	−	0.0491803i
$937$	−13.1045	−	13.1045i	−0.428105	−	0.428105i	0.459878	−	0.887982i	$-0.347893\pi$
$937$	−13.1045	−	13.1045i	−0.428105	−	0.428105i	−0.887982	+	0.459878i	$0.847893\pi$
$938$	−21.9210	−	12.3993i	−0.715745	−	0.404851i
$939$	24.9102	+	1.44274i	0.812914	+	0.0470819i
$940$	7.08089	−	1.05976i	0.230953	−	0.0345654i
$941$	20.1893	−	15.4918i	0.658152	−	0.505018i	−0.224846	−	0.974394i	$-0.572188\pi$
$941$	20.1893	−	15.4918i	0.658152	−	0.505018i	0.882998	+	0.469377i	$0.155521\pi$
$942$	−8.31532	−	0.407959i	−0.270928	−	0.0132920i
$943$	11.2259	−	6.48130i	0.365567	−	0.211060i
$944$	−13.7414	+	19.2817i	−0.447244	+	0.627566i
$945$	−1.88089	−	8.44520i	−0.0611855	−	0.274723i
$946$	17.4565	+	13.1515i	0.567559	+	0.427593i
$947$	−1.28453	−	9.75699i	−0.0417417	−	0.317059i	−0.999559	−	0.0296829i	$-0.990550\pi$
$947$	−1.28453	−	9.75699i	−0.0417417	−	0.317059i	0.957818	−	0.287376i	$-0.0927831\pi$
$948$	22.3175	+	42.5136i	0.724838	+	1.38078i
$949$	−13.6125	−	1.79212i	−0.441881	−	0.0581747i
$950$	30.5578	−	0.269860i	0.991427	−	0.00875540i
$951$	41.8256	−	14.5532i	1.35629	−	0.471918i
$952$	−11.1468	+	1.76906i	−0.361271	+	0.0573355i
$953$	−5.84703	+	5.84703i	−0.189404	+	0.189404i	−0.795438	−	0.606035i	$-0.792759\pi$
$953$	−5.84703	+	5.84703i	−0.189404	+	0.189404i	0.606035	+	0.795438i	$0.292759\pi$
$954$	−55.7249	−	5.97836i	−1.80416	−	0.193556i
$955$	13.3689	−	5.53760i	0.432609	−	0.179192i
$956$	−5.49943	+	5.69720i	−0.177864	+	0.184261i
$957$	−3.76588	+	11.3772i	−0.121734	+	0.367772i
$958$	11.8814	+	4.79896i	0.383871	+	0.155047i
$959$	13.2489	−	22.9478i	0.427830	−	0.741023i
$960$	12.8647	+	9.97127i	0.415206	+	0.321821i
$961$	3.49916	+	6.06072i	0.112876	+	0.195507i
$962$	−0.662615	−	4.71119i	−0.0213636	−	0.151895i
$963$	−7.44670	−	7.22378i	−0.239967	−	0.232783i
$964$	9.30131	+	32.4120i	0.299575	+	1.04392i
$965$	2.20059	+	1.68857i	0.0708396	+	0.0543571i
$966$	−15.7020	+	18.5094i	−0.505202	+	0.595530i
$967$	−4.90868	−	18.3194i	−0.157852	−	0.589113i	−0.998844	−	0.0480655i	$-0.984694\pi$
$967$	−4.90868	−	18.3194i	−0.157852	−	0.589113i	0.840992	−	0.541048i	$-0.181972\pi$
$968$	−8.60150	+	6.96981i	−0.276463	+	0.224018i
$969$	−5.46067	+	28.5859i	−0.175422	+	0.918312i
$970$	−13.3916	+	23.6753i	−0.429978	+	0.760168i
$971$	8.19468	+	19.7837i	0.262980	+	0.634889i	0.999120	−	0.0419396i	$-0.0133537\pi$
$971$	8.19468	+	19.7837i	0.262980	+	0.634889i	−0.736140	+	0.676829i	$0.763354\pi$
$972$	21.8282	+	22.2605i	0.700141	+	0.714004i
$973$	−0.431705	−	0.178818i	−0.0138398	−	0.00573265i
$974$	4.03224	−	32.8683i	0.129201	−	1.05317i
$975$	10.3235	−	7.01194i	0.330615	−	0.224562i
$976$	−7.55424	−	2.82082i	−0.241805	−	0.0902924i
$977$	41.0622	+	23.7073i	1.31370	+	0.758462i	0.982706	−	0.185172i	$-0.0592843\pi$
$977$	41.0622	+	23.7073i	1.31370	+	0.758462i	0.330989	+	0.943635i	$0.392618\pi$
$978$	3.88368	+	7.55965i	0.124186	+	0.241731i
$979$	−1.60147	−	12.1644i	−0.0511833	−	0.388776i
$980$	−7.30065	−	9.17424i	−0.233211	−	0.293060i
$981$	11.2081	−	0.170310i	0.357847	−	0.00543759i
$982$	−30.5840	+	18.0196i	−0.975973	+	0.575029i
$983$	−15.6191	+	58.2914i	−0.498173	+	1.85921i	0.0133094	+	0.999911i	$0.495763\pi$
$983$	−15.6191	+	58.2914i	−0.498173	+	1.85921i	−0.511482	+	0.859294i	$0.670903\pi$
$984$	7.03009	+	5.75341i	0.224111	+	0.183412i
$985$	−2.15474	−	8.04159i	−0.0686556	−	0.256226i
$986$	7.38132	+	7.25209i	0.235069	+	0.230954i
$987$	−6.68550	+	3.36031i	−0.212802	+	0.106960i
$988$	−0.419612	−	23.7557i	−0.0133496	−	0.755770i
$989$	15.5314	−	37.4960i	0.493869	−	1.19230i
$990$	12.7279	−	3.74037i	0.404520	−	0.118877i
$991$	45.1269			1.43350			0.716751	−	0.697329i	$-0.245628\pi$
$991$	45.1269			1.43350			0.716751	+	0.697329i	$0.245628\pi$
$992$	−9.46510	+	26.0474i	−0.300517	+	0.827005i
$993$	20.2154	−	41.7902i	0.641518	−	1.32617i
$994$	1.60345	−	3.96988i	0.0508584	−	0.125917i
$995$	3.52013	+	4.58753i	0.111596	+	0.145434i
$996$	29.8409	−	2.71428i	0.945546	−	0.0860052i
$997$	−0.982387	−	0.753812i	−0.0311125	−	0.0238735i	0.593088	−	0.805138i	$-0.297909\pi$
$997$	−0.982387	−	0.753812i	−0.0311125	−	0.0238735i	−0.624201	+	0.781264i	$0.714575\pi$
$998$	−4.31695	+	16.6996i	−0.136651	+	0.528616i
$999$	−4.71185	+	7.41205i	−0.149076	+	0.234507i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	288.2.bc.a.13.9	✓	368
3.2	odd	2		864.2.bk.a.685.38		368
9.2	odd	6		864.2.bk.a.397.7		368
9.7	even	3	inner	288.2.bc.a.205.40	yes	368
32.5	even	8	inner	288.2.bc.a.229.40	yes	368
96.5	odd	8		864.2.bk.a.37.7		368
288.101	odd	24		864.2.bk.a.613.38		368
288.133	even	24	inner	288.2.bc.a.133.9	yes	368

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
288.2.bc.a.13.9	✓	368	1.1	even	1	trivial
288.2.bc.a.133.9	yes	368	288.133	even	24	inner
288.2.bc.a.205.40	yes	368	9.7	even	3	inner
288.2.bc.a.229.40	yes	368	32.5	even	8	inner
864.2.bk.a.37.7		368	96.5	odd	8
864.2.bk.a.397.7		368	9.2	odd	6
864.2.bk.a.613.38		368	288.101	odd	24
864.2.bk.a.685.38		368	3.2	odd	2

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:	\( N \)	\(=\)	\( 288 = 2^{5} \cdot 3^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	288.bc (of order \(24\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.11432 + 0.870793i) q^{2} +(-1.69615 + 0.350802i) q^{3} +(0.483439 - 1.94069i) q^{4} +(-0.153324 + 1.16461i) q^{5} +(1.58459 - 1.86791i) q^{6} +(1.36922 + 0.366881i) q^{7} +(1.15123 + 2.58354i) q^{8} +(2.75388 - 1.19003i) q^{9} +O(q^{10})\)	\(q+(-1.11432 + 0.870793i) q^{2} +(-1.69615 + 0.350802i) q^{3} +(0.483439 - 1.94069i) q^{4} +(-0.153324 + 1.16461i) q^{5} +(1.58459 - 1.86791i) q^{6} +(1.36922 + 0.366881i) q^{7} +(1.15123 + 2.58354i) q^{8} +(2.75388 - 1.19003i) q^{9} +(-0.843281 - 1.43127i) q^{10} +(-1.62048 + 2.11185i) q^{11} +(-0.139188 + 3.46130i) q^{12} +(-1.57898 + 1.21160i) q^{13} +(-1.84523 + 0.783481i) q^{14} +(-0.148487 - 2.02914i) q^{15} +(-3.53257 - 1.87641i) q^{16} +2.81501i q^{17} +(-2.03244 + 3.72413i) q^{18} +(-5.51455 - 2.28420i) q^{19} +(2.18603 + 0.860572i) q^{20} +(-2.45111 - 0.141962i) q^{21} +(-0.0332437 - 3.76439i) q^{22} +(-6.75230 + 1.80927i) q^{23} +(-2.85898 - 3.97822i) q^{24} +(3.49682 + 0.936971i) q^{25} +(0.704451 - 2.72508i) q^{26} +(-4.25353 + 2.98454i) q^{27} +(1.37394 - 2.47987i) q^{28} +(-2.57705 + 0.339274i) q^{29} +(1.93243 + 2.13182i) q^{30} +(-2.44958 + 4.24279i) q^{31} +(5.57040 - 0.985206i) q^{32} +(2.00774 - 4.15049i) q^{33} +(-2.45129 - 3.13683i) q^{34} +(-0.637207 + 1.53835i) q^{35} +(-0.978148 - 5.91973i) q^{36} +(1.56161 - 0.646841i) q^{37} +(8.13407 - 2.25669i) q^{38} +(2.25317 - 2.60897i) q^{39} +(-3.18532 + 0.944619i) q^{40} +(-1.79113 + 0.479933i) q^{41} +(2.85495 - 1.97622i) q^{42} +(-3.53435 + 4.60605i) q^{43} +(3.31505 + 4.16580i) q^{44} +(0.963684 + 3.38965i) q^{45} +(5.94875 - 7.89597i) q^{46} +(2.63929 - 1.52379i) q^{47} +(6.65004 + 1.94345i) q^{48} +(-4.32202 - 2.49532i) q^{49} +(-4.71250 + 2.00092i) q^{50} +(-0.987510 - 4.77468i) q^{51} +(1.58799 + 3.65006i) q^{52} +(5.05519 + 12.2043i) q^{53} +(2.14090 - 7.02969i) q^{54} +(-2.21102 - 2.21102i) q^{55} +(0.628439 + 3.95979i) q^{56} +(10.1548 + 1.93984i) q^{57} +(2.57623 - 2.62213i) q^{58} +(0.772624 - 5.86866i) q^{59} +(-4.00973 - 0.692800i) q^{60} +(1.99868 - 0.263132i) q^{61} +(-0.964968 - 6.86092i) q^{62} +(4.20726 - 0.619065i) q^{63} +(-5.34933 + 5.94851i) q^{64} +(-1.16894 - 2.02467i) q^{65} +(1.37694 + 6.37332i) q^{66} +(7.64787 + 9.96690i) q^{67} +(5.46306 + 1.36088i) q^{68} +(10.8182 - 5.43752i) q^{69} +(-0.629532 - 2.26910i) q^{70} +(-1.51020 + 1.51020i) q^{71} +(6.24484 + 5.74474i) q^{72} +(4.87802 + 4.87802i) q^{73} +(-1.17688 + 2.08063i) q^{74} +(-6.25984 - 0.362554i) q^{75} +(-7.09888 + 9.59778i) q^{76} +(-2.99359 + 2.29706i) q^{77} +(-0.238893 + 4.86928i) q^{78} +(12.0038 - 6.93042i) q^{79} +(2.72692 - 3.82637i) q^{80} +(6.16766 - 6.55438i) q^{81} +(1.57798 - 2.09451i) q^{82} +(-1.12904 - 8.57589i) q^{83} +(-1.46047 + 4.68822i) q^{84} +(-3.27838 - 0.431607i) q^{85} +(-0.0725063 - 8.21032i) q^{86} +(4.25205 - 1.47949i) q^{87} +(-7.32159 - 1.75534i) q^{88} +(-3.25920 + 3.25920i) q^{89} +(-4.02554 - 2.93800i) q^{90} +(-2.60649 + 1.07964i) q^{91} +(0.246916 + 13.9788i) q^{92} +(2.66648 - 8.05574i) q^{93} +(-1.61412 + 3.99628i) q^{94} +(3.50572 - 6.07208i) q^{95} +(-9.10265 + 3.62517i) q^{96} +(-8.18684 - 14.1800i) q^{97} +(6.98904 - 0.982988i) q^{98} +(-1.94944 + 7.74419i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 368 q - 4 q^{2} - 8 q^{3} - 4 q^{4} - 4 q^{5} - 8 q^{6} - 4 q^{7} - 16 q^{8} - 8 q^{9}+O(q^{10}) \) 368 * q - 4 * q^2 - 8 * q^3 - 4 * q^4 - 4 * q^5 - 8 * q^6 - 4 * q^7 - 16 * q^8 - 8 * q^9	\( 368 q - 4 q^{2} - 8 q^{3} - 4 q^{4} - 4 q^{5} - 8 q^{6} - 4 q^{7} - 16 q^{8} - 8 q^{9} - 16 q^{10} - 4 q^{11} - 8 q^{12} - 4 q^{13} - 4 q^{14} - 4 q^{16} - 8 q^{18} - 16 q^{19} - 4 q^{20} - 8 q^{21} - 4 q^{22} - 4 q^{23} - 48 q^{24} - 4 q^{25} - 16 q^{26} - 32 q^{27} - 16 q^{28} - 4 q^{29} + 24 q^{30} - 8 q^{31} - 4 q^{32} - 16 q^{33} + 4 q^{34} - 16 q^{35} + 20 q^{36} - 16 q^{37} - 60 q^{38} - 32 q^{39} - 4 q^{40} - 4 q^{41} - 88 q^{42} - 4 q^{43} - 104 q^{44} - 8 q^{45} - 16 q^{46} - 60 q^{48} + 48 q^{50} + 16 q^{51} - 4 q^{52} - 16 q^{53} - 52 q^{54} - 16 q^{55} - 84 q^{56} - 8 q^{57} - 40 q^{58} - 4 q^{59} - 52 q^{60} - 4 q^{61} - 24 q^{62} - 16 q^{63} - 16 q^{64} - 8 q^{65} + 64 q^{66} - 4 q^{67} + 12 q^{68} - 8 q^{69} - 4 q^{70} - 16 q^{71} - 68 q^{72} - 16 q^{73} - 4 q^{74} - 28 q^{75} + 20 q^{76} - 4 q^{77} - 72 q^{78} + 48 q^{80} - 16 q^{82} + 36 q^{83} + 200 q^{84} + 16 q^{85} + 100 q^{86} - 64 q^{87} - 4 q^{88} - 16 q^{89} + 4 q^{90} - 16 q^{91} - 80 q^{92} + 4 q^{93} - 20 q^{94} - 136 q^{95} + 28 q^{96} - 8 q^{97} + 104 q^{98} - 72 q^{99}+O(q^{100}) \) 368 * q - 4 * q^2 - 8 * q^3 - 4 * q^4 - 4 * q^5 - 8 * q^6 - 4 * q^7 - 16 * q^8 - 8 * q^9 - 16 * q^10 - 4 * q^11 - 8 * q^12 - 4 * q^13 - 4 * q^14 - 4 * q^16 - 8 * q^18 - 16 * q^19 - 4 * q^20 - 8 * q^21 - 4 * q^22 - 4 * q^23 - 48 * q^24 - 4 * q^25 - 16 * q^26 - 32 * q^27 - 16 * q^28 - 4 * q^29 + 24 * q^30 - 8 * q^31 - 4 * q^32 - 16 * q^33 + 4 * q^34 - 16 * q^35 + 20 * q^36 - 16 * q^37 - 60 * q^38 - 32 * q^39 - 4 * q^40 - 4 * q^41 - 88 * q^42 - 4 * q^43 - 104 * q^44 - 8 * q^45 - 16 * q^46 - 60 * q^48 + 48 * q^50 + 16 * q^51 - 4 * q^52 - 16 * q^53 - 52 * q^54 - 16 * q^55 - 84 * q^56 - 8 * q^57 - 40 * q^58 - 4 * q^59 - 52 * q^60 - 4 * q^61 - 24 * q^62 - 16 * q^63 - 16 * q^64 - 8 * q^65 + 64 * q^66 - 4 * q^67 + 12 * q^68 - 8 * q^69 - 4 * q^70 - 16 * q^71 - 68 * q^72 - 16 * q^73 - 4 * q^74 - 28 * q^75 + 20 * q^76 - 4 * q^77 - 72 * q^78 + 48 * q^80 - 16 * q^82 + 36 * q^83 + 200 * q^84 + 16 * q^85 + 100 * q^86 - 64 * q^87 - 4 * q^88 - 16 * q^89 + 4 * q^90 - 16 * q^91 - 80 * q^92 + 4 * q^93 - 20 * q^94 - 136 * q^95 + 28 * q^96 - 8 * q^97 + 104 * q^98 - 72 * q^99

Introduction

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