LMFDB - Embedded newform 756.2.bt.a.103.8

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [756,2,Mod(103,756)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(756, base_ring=CyclotomicField(18))

chi = DirichletCharacter(H, H._module([9, 14, 15]))

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

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

chi := DirichletCharacter("756.103");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 756 = 2^{2} \cdot 3^{3} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	756.bt (of order $18$, degree $6$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$6.03669039281$
Analytic rank:	$0$
Dimension:	$840$
Relative dimension:	$140$ over $\Q(\zeta_{18})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label			103.8
Character	$\chi$	$=$	756.103
Dual form			756.2.bt.a.367.8

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.39646 + 0.223410i) q^{2} +(0.897457 + 1.48141i) q^{3} +(1.90018 - 0.623965i) q^{4} +(-1.37715 - 0.242829i) q^{5} +(-1.58422 - 1.86822i) q^{6} +(-1.27459 + 2.31850i) q^{7} +(-2.51411 + 1.29586i) q^{8} +(-1.38914 + 2.65900i) q^{9} +O(q^{10})$	\(q+(-1.39646 + 0.223410i) q^{2} +(0.897457 + 1.48141i) q^{3} +(1.90018 - 0.623965i) q^{4} +(-1.37715 - 0.242829i) q^{5} +(-1.58422 - 1.86822i) q^{6} +(-1.27459 + 2.31850i) q^{7} +(-2.51411 + 1.29586i) q^{8} +(-1.38914 + 2.65900i) q^{9} +(1.97738 + 0.0314303i) q^{10} +(-4.43886 + 0.782690i) q^{11} +(2.62967 + 2.25495i) q^{12} +(-1.32849 + 1.58323i) q^{13} +(1.26193 - 3.52243i) q^{14} +(-0.876208 - 2.25806i) q^{15} +(3.22134 - 2.37129i) q^{16} -7.45773i q^{17} +(1.34582 - 4.02353i) q^{18} +2.98154 q^{19} +(-2.76835 + 0.397877i) q^{20} +(-4.57853 + 0.192568i) q^{21} +(6.02380 - 2.08468i) q^{22} +(3.92885 - 4.68222i) q^{23} +(-4.17600 - 2.56145i) q^{24} +(-2.86088 - 1.04127i) q^{25} +(1.50147 - 2.50771i) q^{26} +(-5.18576 + 0.328457i) q^{27} +(-0.975280 + 5.20085i) q^{28} +(1.56570 - 1.31378i) q^{29} +(1.72806 + 2.95752i) q^{30} +(1.57365 - 0.572762i) q^{31} +(-3.96868 + 4.03107i) q^{32} +(-5.14317 - 5.87333i) q^{33} +(1.66613 + 10.4144i) q^{34} +(2.31830 - 2.88342i) q^{35} +(-0.980488 + 5.91934i) q^{36} +(-2.43730 - 4.22153i) q^{37} +(-4.16359 + 0.666106i) q^{38} +(-3.53768 - 0.547152i) q^{39} +(3.77699 - 1.17410i) q^{40} +(-4.22870 + 5.03957i) q^{41} +(6.35069 - 1.29180i) q^{42} +(-1.40080 + 3.84866i) q^{43} +(-7.94624 + 4.25694i) q^{44} +(2.55874 - 3.32453i) q^{45} +(-4.44041 + 7.41626i) q^{46} +(-9.51207 - 3.46211i) q^{47} +(6.40385 + 2.64399i) q^{48} +(-3.75085 - 5.91025i) q^{49} +(4.22772 + 0.814944i) q^{50} +(11.0479 - 6.69299i) q^{51} +(-1.53648 + 3.83735i) q^{52} +(7.07518 + 12.2546i) q^{53} +(7.16830 - 1.61723i) q^{54} +6.30305 q^{55} +(0.200013 - 7.48064i) q^{56} +(2.67581 + 4.41688i) q^{57} +(-1.89292 + 2.18442i) q^{58} +(-3.24290 - 2.72111i) q^{59} +(-3.07390 - 3.74398i) q^{60} +(1.28096 - 3.51941i) q^{61} +(-2.06957 + 1.15141i) q^{62} +(-4.39431 - 6.60985i) q^{63} +(4.64151 - 6.51586i) q^{64} +(2.21399 - 1.85776i) q^{65} +(8.49437 + 7.05280i) q^{66} +(-5.50023 - 0.969838i) q^{67} +(-4.65336 - 14.1710i) q^{68} +(10.4623 + 1.61814i) q^{69} +(-2.59322 + 4.54450i) q^{70} +(-5.69937 - 3.29053i) q^{71} +(0.0467655 - 8.48515i) q^{72} +(5.51115 + 3.18187i) q^{73} +(4.34672 + 5.35067i) q^{74} +(-1.02496 - 5.17262i) q^{75} +(5.66545 - 1.86038i) q^{76} +(3.84305 - 11.2891i) q^{77} +(5.06245 - 0.0262798i) q^{78} +(-0.993400 + 0.175163i) q^{79} +(-5.01209 + 2.48339i) q^{80} +(-5.14058 - 7.38745i) q^{81} +(4.77930 - 7.98227i) q^{82} +(-11.6449 + 9.77122i) q^{83} +(-8.57985 + 3.22275i) q^{84} +(-1.81096 + 10.2704i) q^{85} +(1.09632 - 5.68743i) q^{86} +(3.35139 + 1.14038i) q^{87} +(10.1455 - 7.71989i) q^{88} -0.187713i q^{89} +(-2.83044 + 5.21421i) q^{90} +(-1.97744 - 5.09807i) q^{91} +(4.54397 - 11.3485i) q^{92} +(2.26078 + 1.81719i) q^{93} +(14.0566 + 2.70959i) q^{94} +(-4.10604 - 0.724006i) q^{95} +(-9.53339 - 2.26152i) q^{96} +(-4.61209 + 12.6716i) q^{97} +(6.55831 + 7.41543i) q^{98} +(4.08502 - 12.8902i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 840 q - 3 q^{2} - 3 q^{4} - 18 q^{5} - 6 q^{8} - 6 q^{9}+O(q^{10}) $ 840 * q - 3 * q^2 - 3 * q^4 - 18 * q^5 - 6 * q^8 - 6 * q^9	$ 840 q - 3 q^{2} - 3 q^{4} - 18 q^{5} - 6 q^{8} - 6 q^{9} - 9 q^{12} - 21 q^{14} - 3 q^{16} - 3 q^{18} - 12 q^{21} - 12 q^{22} - 9 q^{24} - 6 q^{25} - 18 q^{26} - 12 q^{28} - 36 q^{29} - 39 q^{30} + 27 q^{32} - 18 q^{33} + 18 q^{34} + 18 q^{36} + 6 q^{37} - 99 q^{38} + 36 q^{40} + 9 q^{42} + 3 q^{44} - 18 q^{45} + 3 q^{46} - 12 q^{49} + 3 q^{50} - 9 q^{52} - 12 q^{53} - 135 q^{54} + 15 q^{56} - 42 q^{57} - 3 q^{58} - 33 q^{60} - 18 q^{61} - 99 q^{62} - 6 q^{64} + 18 q^{65} - 9 q^{66} - 54 q^{68} + 72 q^{69} - 36 q^{70} - 111 q^{72} - 18 q^{73} + 93 q^{74} - 36 q^{76} - 36 q^{77} + 6 q^{78} - 18 q^{80} - 30 q^{81} - 18 q^{82} + 84 q^{84} + 6 q^{85} + 135 q^{86} - 51 q^{88} + 81 q^{90} + 48 q^{92} - 6 q^{93} - 9 q^{94} - 9 q^{96} - 117 q^{98}+O(q^{100}) $ 840 * q - 3 * q^2 - 3 * q^4 - 18 * q^5 - 6 * q^8 - 6 * q^9 - 9 * q^12 - 21 * q^14 - 3 * q^16 - 3 * q^18 - 12 * q^21 - 12 * q^22 - 9 * q^24 - 6 * q^25 - 18 * q^26 - 12 * q^28 - 36 * q^29 - 39 * q^30 + 27 * q^32 - 18 * q^33 + 18 * q^34 + 18 * q^36 + 6 * q^37 - 99 * q^38 + 36 * q^40 + 9 * q^42 + 3 * q^44 - 18 * q^45 + 3 * q^46 - 12 * q^49 + 3 * q^50 - 9 * q^52 - 12 * q^53 - 135 * q^54 + 15 * q^56 - 42 * q^57 - 3 * q^58 - 33 * q^60 - 18 * q^61 - 99 * q^62 - 6 * q^64 + 18 * q^65 - 9 * q^66 - 54 * q^68 + 72 * q^69 - 36 * q^70 - 111 * q^72 - 18 * q^73 + 93 * q^74 - 36 * q^76 - 36 * q^77 + 6 * q^78 - 18 * q^80 - 30 * q^81 - 18 * q^82 + 84 * q^84 + 6 * q^85 + 135 * q^86 - 51 * q^88 + 81 * q^90 + 48 * q^92 - 6 * q^93 - 9 * q^94 - 9 * q^96 - 117 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/756\mathbb{Z}\right)^\times$.

$n$	$29$	$325$	$379$
$\chi(n)$	$e\left(\frac{7}{9}\right)$	$e\left(\frac{5}{6}\right)$	$-1$

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 $

$2$	−1.39646	+	0.223410i	−0.987443	+	0.157975i
$2$	−1.39646	+	0.223410i	−0.987443	+	0.157975i
$3$	0.897457	+	1.48141i	0.518147	+	0.855291i
$3$	0.897457	+	1.48141i	0.518147	+	0.855291i
$4$	1.90018	−	0.623965i	0.950088	−	0.311982i
$5$	−1.37715	−	0.242829i	−0.615882	−	0.108597i	−0.143000	−	0.989723i	$-0.545675\pi$
$5$	−1.37715	−	0.242829i	−0.615882	−	0.108597i	−0.472882	+	0.881126i	$0.656786\pi$
$6$	−1.58422	−	1.86822i	−0.646756	−	0.762697i
$7$	−1.27459	+	2.31850i	−0.481749	+	0.876309i
$7$	−1.27459	+	2.31850i	−0.481749	+	0.876309i
$8$	−2.51411	+	1.29586i	−0.888872	+	0.458155i
$9$	−1.38914	+	2.65900i	−0.463047	+	0.886334i
$10$	1.97738	+	0.0314303i	0.625304	+	0.00993913i
$11$	−4.43886	+	0.782690i	−1.33837	+	0.235990i	−0.796583	−	0.604529i	$-0.793361\pi$
$11$	−4.43886	+	0.782690i	−1.33837	+	0.235990i	−0.541782	+	0.840519i	$0.682250\pi$
$12$	2.62967	+	2.25495i	0.759121	+	0.650949i
$13$	−1.32849	+	1.58323i	−0.368457	+	0.439110i	−0.918136	−	0.396266i	$-0.870306\pi$
$13$	−1.32849	+	1.58323i	−0.368457	+	0.439110i	0.549679	+	0.835376i	$0.314750\pi$
$14$	1.26193	−	3.52243i	0.337265	−	0.941410i
$15$	−0.876208	−	2.25806i	−0.226236	−	0.583028i
$16$	3.22134	−	2.37129i	0.805334	−	0.592821i
$17$		−	7.45773i		−	1.80876i	−0.426723	−	0.904382i	$-0.640332\pi$
$17$		−	7.45773i		−	1.80876i	0.426723	−	0.904382i	$-0.359668\pi$
$18$	1.34582	−	4.02353i	0.317214	−	0.948354i
$19$	2.98154			0.684012			0.342006	−	0.939698i	$-0.388894\pi$
$19$	2.98154			0.684012			0.342006	+	0.939698i	$0.388894\pi$
$20$	−2.76835	+	0.397877i	−0.619022	+	0.0889680i
$21$	−4.57853	+	0.192568i	−0.999117	+	0.0420218i
$22$	6.02380	−	2.08468i	1.28428	−	0.444455i
$23$	3.92885	−	4.68222i	0.819222	−	0.976311i	−0.180752	−	0.983529i	$-0.557853\pi$
$23$	3.92885	−	4.68222i	0.819222	−	0.976311i	0.999974	+	0.00721764i	$0.00229747\pi$
$24$	−4.17600	−	2.56145i	−0.852423	−	0.522853i
$25$	−2.86088	−	1.04127i	−0.572175	−	0.208255i
$26$	1.50147	−	2.50771i	0.294462	−	0.491803i
$27$	−5.18576	+	0.328457i	−0.998000	+	0.0632117i
$28$	−0.975280	+	5.20085i	−0.184311	+	0.982868i
$29$	1.56570	−	1.31378i	0.290743	−	0.243962i	−0.485736	−	0.874106i	$-0.661448\pi$
$29$	1.56570	−	1.31378i	0.290743	−	0.243962i	0.776479	+	0.630143i	$0.217004\pi$
$30$	1.72806	+	2.95752i	0.315499	+	0.539967i
$31$	1.57365	−	0.572762i	0.282636	−	0.102871i	−0.196812	−	0.980441i	$-0.563059\pi$
$31$	1.57365	−	0.572762i	0.282636	−	0.102871i	0.479448	+	0.877570i	$0.340837\pi$
$32$	−3.96868	+	4.03107i	−0.701571	+	0.712600i
$33$	−5.14317	−	5.87333i	−0.895311	−	1.02241i
$34$	1.66613	+	10.4144i	0.285739	+	1.78605i
$35$	2.31830	−	2.88342i	0.391865	−	0.487387i
$36$	−0.980488	+	5.91934i	−0.163415	+	0.986557i
$37$	−2.43730	−	4.22153i	−0.400690	−	0.694016i	0.593119	−	0.805115i	$-0.297896\pi$
$37$	−2.43730	−	4.22153i	−0.400690	−	0.694016i	−0.993809	+	0.111099i	$0.964563\pi$
$38$	−4.16359	+	0.666106i	−0.675423	+	0.108057i
$39$	−3.53768	−	0.547152i	−0.566482	−	0.0876144i
$40$	3.77699	−	1.17410i	0.597195	−	0.185641i
$41$	−4.22870	+	5.03957i	−0.660412	+	0.787049i	−0.987445	−	0.157964i	$-0.949507\pi$
$41$	−4.22870	+	5.03957i	−0.660412	+	0.787049i	0.327033	+	0.945013i	$0.393951\pi$
$42$	6.35069	−	1.29180i	0.979933	−	0.199329i
$43$	−1.40080	+	3.84866i	−0.213619	+	0.586915i	−0.999505	−	0.0314573i	$-0.989985\pi$
$43$	−1.40080	+	3.84866i	−0.213619	+	0.586915i	0.785886	+	0.618372i	$0.212207\pi$
$44$	−7.94624	+	4.25694i	−1.19794	+	0.641758i
$45$	2.55874	−	3.32453i	0.381435	−	0.495592i
$46$	−4.44041	+	7.41626i	−0.654703	+	1.09347i
$47$	−9.51207	−	3.46211i	−1.38748	−	0.505000i	−0.463041	−	0.886337i	$-0.653242\pi$
$47$	−9.51207	−	3.46211i	−1.38748	−	0.505000i	−0.924436	+	0.381336i	$0.875464\pi$
$48$	6.40385	+	2.64399i	0.924317	+	0.381627i
$49$	−3.75085	−	5.91025i	−0.535836	−	0.844322i
$50$	4.22772	+	0.814944i	0.597890	+	0.115250i
$51$	11.0479	−	6.69299i	1.54702	−	0.937207i
$52$	−1.53648	+	3.83735i	−0.213072	+	0.532145i
$53$	7.07518	+	12.2546i	0.971851	+	1.68330i	0.689958	+	0.723850i	$0.257629\pi$
$53$	7.07518	+	12.2546i	0.971851	+	1.68330i	0.281893	+	0.959446i	$0.409038\pi$
$54$	7.16830	−	1.61723i	0.975483	−	0.220077i
$55$	6.30305			0.849903
$56$	0.200013	−	7.48064i	0.0267278	−	0.999643i
$57$	2.67581	+	4.41688i	0.354419	+	0.585030i
$58$	−1.89292	+	2.18442i	−0.248552	+	0.286829i
$59$	−3.24290	−	2.72111i	−0.422189	−	0.354259i	0.406806	−	0.913515i	$-0.366643\pi$
$59$	−3.24290	−	2.72111i	−0.422189	−	0.354259i	−0.828995	+	0.559256i	$0.811087\pi$
$60$	−3.07390	−	3.74398i	−0.396838	−	0.483346i
$61$	1.28096	−	3.51941i	0.164010	−	0.450614i	−0.830277	−	0.557351i	$-0.811818\pi$
$61$	1.28096	−	3.51941i	0.164010	−	0.450614i	0.994287	+	0.106737i	$0.0340401\pi$
$62$	−2.06957	+	1.15141i	−0.262836	+	0.146229i
$63$	−4.39431	−	6.60985i	−0.553631	−	0.832762i
$64$	4.64151	−	6.51586i	0.580188	−	0.814482i
$65$	2.21399	−	1.85776i	0.274612	−	0.230427i
$66$	8.49437	+	7.05280i	1.04558	+	0.868140i
$67$	−5.50023	−	0.969838i	−0.671960	−	0.118485i	−0.172750	−	0.984966i	$-0.555265\pi$
$67$	−5.50023	−	0.969838i	−0.671960	−	0.118485i	−0.499210	+	0.866481i	$0.666376\pi$
$68$	−4.65336	−	14.1710i	−0.564303	−	1.71849i
$69$	10.4623	+	1.61814i	1.25951	+	0.194801i
$70$	−2.59322	+	4.54450i	−0.309949	+	0.543172i
$71$	−5.69937	−	3.29053i	−0.676390	−	0.390514i	0.122103	−	0.992517i	$-0.461036\pi$
$71$	−5.69937	−	3.29053i	−0.676390	−	0.390514i	−0.798494	+	0.602003i	$0.794369\pi$
$72$	0.0467655	−	8.48515i	0.00551137	−	0.999985i
$73$	5.51115	+	3.18187i	0.645032	+	0.372409i	0.786550	−	0.617526i	$-0.211865\pi$
$73$	5.51115	+	3.18187i	0.645032	+	0.372409i	−0.141518	+	0.989936i	$0.545198\pi$
$74$	4.34672	+	5.35067i	0.505296	+	0.622002i
$75$	−1.02496	−	5.17262i	−0.118353	−	0.597283i
$76$	5.66545	−	1.86038i	0.649872	−	0.213400i
$77$	3.84305	−	11.2891i	0.437956	−	1.28651i
$78$	5.06245	−	0.0262798i	0.573210	−	0.00297560i
$79$	−0.993400	+	0.175163i	−0.111766	+	0.0197074i	−0.229251	−	0.973367i	$-0.573628\pi$
$79$	−0.993400	+	0.175163i	−0.111766	+	0.0197074i	0.117485	+	0.993075i	$0.462517\pi$
$80$	−5.01209	+	2.48339i	−0.560369	+	0.277651i
$81$	−5.14058	−	7.38745i	−0.571175	−	0.820828i
$82$	4.77930	−	7.98227i	0.527786	−	0.881494i
$83$	−11.6449	+	9.77122i	−1.27819	+	1.07253i	−0.284701	+	0.958616i	$0.591894\pi$
$83$	−11.6449	+	9.77122i	−1.27819	+	1.07253i	−0.993491	+	0.113914i	$0.963661\pi$
$84$	−8.57985	+	3.22275i	−0.936139	+	0.351631i
$85$	−1.81096	+	10.2704i	−0.196426	+	1.11399i
$86$	1.09632	−	5.68743i	0.118219	−	0.613291i
$87$	3.35139	+	1.14038i	0.359306	+	0.122262i
$88$	10.1455	−	7.71989i	1.08152	−	0.822944i
$89$		−	0.187713i		−	0.0198975i	−0.999951	−	0.00994874i	$-0.996833\pi$
$89$		−	0.187713i		−	0.0198975i	0.999951	−	0.00994874i	$-0.00316684\pi$
$90$	−2.83044	+	5.21421i	−0.298354	+	0.549626i
$91$	−1.97744	−	5.09807i	−0.207292	−	0.534423i
$92$	4.54397	−	11.3485i	0.473741	−	1.18316i
$93$	2.26078	+	1.81719i	0.234432	+	0.188434i
$94$	14.0566	+	2.70959i	1.44983	+	0.279473i
$95$	−4.10604	−	0.724006i	−0.421271	−	0.0742814i
$96$	−9.53339	−	2.26152i	−0.972997	−	0.230816i
$97$	−4.61209	+	12.6716i	−0.468286	+	1.28661i	0.450826	+	0.892612i	$0.351129\pi$
$97$	−4.61209	+	12.6716i	−0.468286	+	1.28661i	−0.919113	+	0.393995i	$0.871093\pi$
$98$	6.55831	+	7.41543i	0.662490	+	0.749071i
$99$	4.08502	−	12.8902i	0.410560	−	1.29551i
$100$	−6.08589	−	0.193518i	−0.608589	−	0.0193518i
$101$	3.88271	+	4.62723i	0.386344	+	0.460427i	0.923806	−	0.382861i	$-0.125061\pi$
$101$	3.88271	+	4.62723i	0.386344	+	0.460427i	−0.537462	+	0.843288i	$0.680617\pi$
$102$	−13.9327	+	11.8147i	−1.37954	+	1.16983i
$103$	0.180736	−	1.02500i	0.0178084	−	0.100996i	−0.974608	−	0.223918i	$-0.928115\pi$
$103$	0.180736	−	1.02500i	0.0178084	−	0.100996i	0.992416	+	0.122921i	$0.0392263\pi$
$104$	1.28833	−	5.70196i	0.126331	−	0.559123i
$105$	6.35210	+	0.846605i	0.619901	+	0.0826202i
$106$	−12.6180	−	15.5323i	−1.22557	−	1.50863i
$107$	−12.2690	−	7.08350i	−1.18609	−	0.684788i	−0.228672	−	0.973503i	$-0.573438\pi$
$107$	−12.2690	−	7.08350i	−1.18609	−	0.684788i	−0.957415	+	0.288716i	$0.906772\pi$
$108$	−9.64891	+	3.85986i	−0.928467	+	0.371415i
$109$	−6.04584	−	10.4717i	−0.579086	−	1.00301i	−0.995584	−	0.0938699i	$-0.970076\pi$
$109$	−6.04584	−	10.4717i	−0.579086	−	1.00301i	0.416498	−	0.909136i	$-0.363257\pi$
$110$	−8.80193	+	1.40816i	−0.839231	+	0.134263i
$111$	4.06644	−	7.39929i	0.385969	−	0.702309i
$112$	1.39194	+	10.4911i	0.131526	+	0.991313i
$113$	−10.4584	+	3.80655i	−0.983844	+	0.358090i	−0.783333	−	0.621602i	$-0.786482\pi$
$113$	−10.4584	+	3.80655i	−0.983844	+	0.358090i	−0.200510	+	0.979692i	$0.564260\pi$
$114$	−4.72342	−	5.57017i	−0.442389	−	0.521694i
$115$	−6.54762	+	5.49410i	−0.610568	+	0.512328i
$116$	2.15535	−	3.47335i	0.200119	−	0.322492i
$117$	−2.36436	−	5.73179i	−0.218585	−	0.529904i
$118$	5.13649	+	3.07542i	0.472852	+	0.283115i
$119$	17.2907	+	9.50552i	1.58504	+	0.871370i
$120$	5.12900	+	4.54156i	0.468212	+	0.414586i
$121$	8.75422	−	3.18628i	0.795838	−	0.289661i
$122$	−1.00253	+	5.20088i	−0.0907650	+	0.470865i
$123$	−11.2607	−	1.74163i	−1.01535	−	0.157038i
$124$	2.63283	−	2.07025i	0.236435	−	0.185914i
$125$	9.74226	+	5.62470i	0.871374	+	0.503088i
$126$	7.61316	+	8.24862i	0.678234	+	0.734846i
$127$	−6.54161	+	3.77680i	−0.580474	+	0.335137i	−0.761322	−	0.648374i	$-0.775449\pi$
$127$	−6.54161	+	3.77680i	−0.580474	+	0.335137i	0.180848	+	0.983511i	$0.442116\pi$
$128$	−5.02595	+	10.1361i	−0.444235	+	0.895910i
$129$	−6.95859	+	1.37885i	−0.612669	+	0.121401i
$130$	−2.67670	+	3.08891i	−0.234762	+	0.270915i
$131$	8.48627	+	7.12082i	0.741449	+	0.622149i	0.933226	−	0.359289i	$-0.116981\pi$
$131$	8.48627	+	7.12082i	0.741449	+	0.622149i	−0.191778	+	0.981438i	$0.561425\pi$
$132$	−13.4377	−	7.95120i	−1.16960	−	0.692063i
$133$	−3.80023	+	6.91269i	−0.329522	+	0.599406i
$134$	7.89749	+	0.125530i	0.682240	+	0.0108441i
$135$	7.22135	+	0.806919i	0.621515	+	0.0694485i
$136$	9.66415	+	18.7496i	0.828694	+	1.60776i
$137$	−13.4919	−	4.91066i	−1.15269	−	0.419546i	−0.306211	−	0.951964i	$-0.599061\pi$
$137$	−13.4919	−	4.91066i	−1.15269	−	0.419546i	−0.846482	+	0.532418i	$0.821283\pi$
$138$	−14.9716	+	0.0777193i	−1.27447	+	0.00661591i
$139$	1.40145	−	7.94803i	0.118870	−	0.674143i	−0.865892	−	0.500232i	$-0.833248\pi$
$139$	1.40145	−	7.94803i	0.118870	−	0.674143i	0.984761	−	0.173911i	$-0.0556407\pi$
$140$	2.60603	−	6.92554i	0.220250	−	0.585315i
$141$	−3.40788	−	17.1983i	−0.286995	−	1.44836i
$142$	8.69405	+	3.32178i	0.729589	+	0.278758i
$143$	4.65780	−	8.06754i	0.389505	−	0.674642i
$144$	1.83036	+	11.8596i	0.152530	+	0.988299i
$145$	−2.47523	+	1.42908i	−0.205557	+	0.118678i
$146$	−8.40694	−	3.21209i	−0.695763	−	0.265834i
$147$	5.38926	−	10.8607i	0.444499	−	0.895779i
$148$	−7.26539	−	6.50086i	−0.597212	−	0.534368i
$149$	18.3012	−	6.66110i	1.49929	−	0.545698i	0.543416	−	0.839463i	$-0.317130\pi$
$149$	18.3012	−	6.66110i	1.49929	−	0.545698i	0.955878	+	0.293765i	$0.0949082\pi$
$150$	2.58693	+	6.99435i	0.211222	+	0.571086i
$151$	6.95419	−	1.22621i	0.565924	−	0.0997877i	0.116636	−	0.993175i	$-0.462789\pi$
$151$	6.95419	−	1.22621i	0.565924	−	0.0997877i	0.449288	+	0.893387i	$0.351678\pi$
$152$	−7.49592	+	3.86365i	−0.608000	+	0.313383i
$153$	19.8301	+	10.3598i	1.60317	+	0.837542i
$154$	−2.84455	+	16.6233i	−0.229220	+	1.33954i
$155$	−2.30624	+	0.406653i	−0.185242	+	0.0326632i
$156$	−7.06361	+	1.16770i	−0.565542	+	0.0934909i
$157$	−1.08854	+	1.29727i	−0.0868747	+	0.103533i	−0.807731	−	0.589552i	$-0.799304\pi$
$157$	−1.08854	+	1.29727i	−0.0868747	+	0.103533i	0.720856	+	0.693085i	$0.243749\pi$
$158$	1.34811	−	0.466543i	0.107250	−	0.0371162i
$159$	−11.8044	+	21.4792i	−0.936146	+	1.70341i
$160$	6.44435	−	4.58770i	0.509471	−	0.362689i
$161$	5.84806	+	15.0769i	0.460891	+	1.18823i
$162$	8.82902	+	9.16779i	0.693673	+	0.720290i
$163$	−2.06859	−	1.19430i	−0.162024	−	0.0935447i	0.416795	−	0.909000i	$-0.363153\pi$
$163$	−2.06859	−	1.19430i	−0.162024	−	0.0935447i	−0.578820	+	0.815456i	$0.696486\pi$
$164$	−4.89076	+	12.2146i	−0.381904	+	0.953802i
$165$	5.65672	+	9.33739i	0.440375	+	0.726915i
$166$	14.0786	−	16.2467i	1.09271	−	1.26098i
$167$	−9.39849	+	3.42077i	−0.727277	+	0.264707i	−0.679012	−	0.734127i	$-0.737592\pi$
$167$	−9.39849	+	3.42077i	−0.727277	+	0.264707i	−0.0482653	+	0.998835i	$0.515369\pi$
$168$	11.2614	−	6.41726i	0.868835	−	0.495102i
$169$	1.51569	+	8.59588i	0.116591	+	0.661222i
$170$	0.234398	−	14.7468i	0.0179775	−	1.13103i
$171$	−4.14178	+	7.92792i	−0.316730	+	0.606263i
$172$	−0.260334	+	8.18717i	−0.0198503	+	0.624266i
$173$	11.5109	+	13.7182i	0.875157	+	1.04297i	0.998717	+	0.0506346i	$0.0161244\pi$
$173$	11.5109	+	13.7182i	0.875157	+	1.04297i	−0.123560	+	0.992337i	$0.539431\pi$
$174$	−4.93484	−	0.843755i	−0.374109	−	0.0639649i
$175$	6.06063	−	5.30574i	0.458140	−	0.401076i
$176$	−12.4431	+	13.0471i	−0.937931	+	0.983462i
$177$	1.12072	−	7.24614i	0.0842383	−	0.544653i
$178$	0.0419369	+	0.262132i	0.00314330	+	0.0196476i
$179$			4.83106i			0.361090i	0.983567	+	0.180545i	$0.0577862\pi$
$179$			4.83106i			0.361090i	−0.983567	+	0.180545i	$0.942214\pi$
$180$	2.78767	−	7.91376i	0.207781	−	0.589857i
$181$	−14.1614	+	8.17608i	−1.05261	+	0.607723i	−0.923378	−	0.383891i	$-0.874584\pi$
$181$	−14.1614	+	8.17608i	−1.05261	+	0.607723i	−0.129229	+	0.991615i	$0.541250\pi$
$182$	3.90037	+	6.67745i	0.289115	+	0.494965i
$183$	6.36329	−	1.26090i	0.470388	−	0.0932080i
$184$	−3.81008	+	16.8629i	−0.280883	+	1.24315i
$185$	2.33143	+	6.40555i	0.171410	+	0.470945i
$186$	−3.56306	−	2.03254i	−0.261256	−	0.149033i
$187$	5.83709	+	33.1038i	0.426850	+	2.42079i
$188$	−20.2348	−	0.643423i	−1.47578	−	0.0469264i
$189$	5.84818	−	12.4418i	0.425392	−	0.905009i
$190$	5.89565	+	0.0937106i	0.427716	+	0.00679849i
$191$	−5.02110	+	0.885355i	−0.363314	+	0.0640620i	−0.352325	−	0.935878i	$-0.614609\pi$
$191$	−5.02110	+	0.885355i	−0.363314	+	0.0640620i	−0.0109885	+	0.999940i	$0.503498\pi$
$192$	13.8182	+	1.02826i	0.997243	+	0.0742083i
$193$	−8.41406	+	3.06247i	−0.605657	+	0.220441i	−0.626602	−	0.779339i	$-0.715555\pi$
$193$	−8.41406	+	3.06247i	−0.605657	+	0.220441i	0.0209446	+	0.999781i	$0.493333\pi$
$194$	3.60961	−	18.7257i	0.259155	−	1.34443i
$195$	4.73906	+	1.61256i	0.339371	+	0.115478i
$196$	−10.8151	−	8.89012i	−0.772505	−	0.635009i
$197$	9.92764	+	17.1952i	0.707315	+	1.22511i	0.965849	+	0.259104i	$0.0834272\pi$
$197$	9.92764	+	17.1952i	0.707315	+	1.22511i	−0.258534	+	0.966002i	$0.583239\pi$
$198$	−2.82475	+	18.9132i	−0.200746	+	1.34410i
$199$	6.25389			0.443327			0.221663	−	0.975123i	$-0.428851\pi$
$199$	6.25389			0.443327			0.221663	+	0.975123i	$0.428851\pi$
$200$	8.54190	−	1.08941i	0.604004	−	0.0770329i
$201$	−3.49949	−	9.01847i	−0.246835	−	0.636114i
$202$	−6.45580	−	5.59429i	−0.454229	−	0.393613i
$203$	1.05037	+	5.30459i	0.0737214	+	0.372309i
$204$	16.8168	−	19.6114i	1.17741	−	1.37307i
$205$	7.04733	−	5.91341i	0.492207	−	0.413010i
$206$	−0.0233933	+	1.47175i	−0.00162989	+	0.102542i
$207$	6.99231	+	16.9511i	0.485999	+	1.17818i
$208$	−0.525217	+	8.25036i	−0.0364173	+	0.572059i
$209$	−13.2346	+	2.33362i	−0.915458	+	0.161420i
$210$	−9.05956	+	0.236877i	−0.625169	+	0.0163461i
$211$	−8.58633	−	23.5908i	−0.591107	−	1.62405i	−0.768453	−	0.639906i	$-0.778973\pi$
$211$	−8.58633	−	23.5908i	−0.591107	−	1.62405i	0.177346	−	0.984149i	$-0.443249\pi$
$212$	21.0905	+	18.8712i	1.44850	+	1.29608i
$213$	−0.240320	−	11.3962i	−0.0164665	−	0.780855i
$214$	18.7156	+	7.15078i	1.27937	+	0.488817i
$215$	2.86368	−	4.96004i	0.195301	−	0.338272i
$216$	12.6119	−	7.54578i	0.858134	−	0.513426i
$217$	−0.677809	+	4.37854i	−0.0460126	+	0.297235i
$218$	10.7822	+	13.2726i	0.730264	+	0.898931i
$219$	0.232384	+	11.0199i	0.0157030	+	0.744653i
$220$	11.9769	−	3.93288i	0.807482	−	0.265155i
$221$	11.8073	+	9.90752i	0.794246	+	0.666452i
$222$	−4.02552	+	11.2413i	−0.270175	+	0.754464i
$223$	−1.99606	−	11.3202i	−0.133666	−	0.758058i	−0.975779	−	0.218757i	$-0.929800\pi$
$223$	−1.99606	−	11.3202i	−0.133666	−	0.758058i	0.842113	−	0.539301i	$-0.181311\pi$
$224$	−4.28760	−	14.3393i	−0.286477	−	0.958087i
$225$	6.74291	−	6.16060i	0.449527	−	0.410707i
$226$	13.7543	−	7.65219i	0.914921	−	0.509016i
$227$	3.05130	+	17.3048i	0.202522	+	1.14856i	0.901292	+	0.433212i	$0.142620\pi$
$227$	3.05130	+	17.3048i	0.202522	+	1.14856i	−0.698770	+	0.715346i	$0.746269\pi$
$228$	7.84048	+	6.72324i	0.519248	+	0.445257i
$229$	−6.04219	−	16.6008i	−0.399279	−	1.09701i	−0.962636	−	0.270798i	$-0.912713\pi$
$229$	−6.04219	−	16.6008i	−0.399279	−	1.09701i	0.563357	−	0.826214i	$-0.309510\pi$
$230$	7.91602	−	9.13507i	0.521967	−	0.602349i
$231$	20.1727	−	4.43835i	1.32727	−	0.292022i
$232$	−2.23387	+	5.33190i	−0.146661	+	0.350057i
$233$	−3.83503	−	6.64247i	−0.251241	−	0.435163i	0.712627	−	0.701544i	$-0.247505\pi$
$233$	−3.83503	−	6.64247i	−0.251241	−	0.435163i	−0.963868	+	0.266381i	$0.914172\pi$
$234$	4.58226	+	7.47597i	0.299552	+	0.488719i
$235$	12.2589	+	7.07767i	0.799681	+	0.461696i
$236$	−7.85996	−	3.14714i	−0.511640	−	0.204862i
$237$	−1.15102	−	1.31443i	−0.0747669	−	0.0853813i
$238$	−26.2693	−	9.41112i	−1.70279	−	0.610032i
$239$	24.5892	+	4.33574i	1.59054	+	0.280456i	0.897692	−	0.440624i	$-0.145243\pi$
$239$	24.5892	+	4.33574i	1.59054	+	0.280456i	0.692852	+	0.721080i	$0.256354\pi$
$240$	−8.17705	−	5.19622i	−0.527827	−	0.335415i
$241$	0.235009	−	0.645681i	0.0151382	−	0.0415920i	−0.931893	−	0.362732i	$-0.881844\pi$
$241$	0.235009	−	0.645681i	0.0151382	−	0.0415920i	0.947032	+	0.321140i	$0.104066\pi$
$242$	−11.5130	+	6.40527i	−0.740086	+	0.411747i
$243$	6.33038	−	14.2452i	0.406094	−	0.913831i
$244$	0.238063	−	7.48677i	0.0152404	−	0.479291i
$245$	3.73032	+	9.05015i	0.238321	+	0.578193i
$246$	16.1142	−	0.0836508i	1.02741	−	0.00533338i
$247$	−3.96095	+	4.72047i	−0.252029	+	0.300357i
$248$	−3.21412	+	3.47922i	−0.204097	+	0.220930i
$249$	−24.9259	−	8.48157i	−1.57962	−	0.537498i
$250$	−14.8612	−	5.67812i	−0.939908	−	0.359116i
$251$	−3.68129	−	6.37619i	−0.232361	−	0.402461i	0.726141	−	0.687545i	$-0.241312\pi$
$251$	−3.68129	−	6.37619i	−0.232361	−	0.402461i	−0.958503	+	0.285084i	$0.907978\pi$
$252$	−12.4743	−	9.81798i	−0.785805	−	0.618475i
$253$	−13.7749	+	23.8588i	−0.866019	+	1.49999i
$254$	8.29129	−	6.73559i	0.520242	−	0.422629i
$255$	−16.8400	+	6.53452i	−1.05456	+	0.409207i
$256$	4.75401	−	15.2774i	0.297126	−	0.954838i
$257$	4.82664	+	13.2611i	0.301077	+	0.827203i	0.994313	+	0.106493i	$0.0339621\pi$
$257$	4.82664	+	13.2611i	0.301077	+	0.827203i	−0.693236	+	0.720711i	$0.743816\pi$
$258$	9.40930	−	3.48013i	0.585798	−	0.216663i
$259$	12.8942	−	0.270167i	0.801205	−	0.0167874i
$260$	3.04780	−	4.91152i	0.189016	−	0.304600i
$261$	1.31836	+	5.98821i	0.0816045	+	0.370661i
$262$	−13.4416	−	8.04800i	−0.830422	−	0.497207i
$263$	−10.0731	−	12.0046i	−0.621133	−	0.740238i	0.360132	−	0.932902i	$-0.382732\pi$
$263$	−10.0731	−	12.0046i	−0.621133	−	0.740238i	−0.981265	+	0.192664i	$0.938287\pi$
$264$	20.5415	+	8.10138i	1.26424	+	0.498606i
$265$	−6.76784	−	18.5945i	−0.415745	−	1.14225i
$266$	3.76249	−	10.5023i	0.230693	−	0.643936i
$267$	0.278079	−	0.168464i	0.0170181	−	0.0103098i
$268$	−11.0565	+	1.58908i	−0.675386	+	0.0970687i
$269$	−21.8240	+	12.6001i	−1.33063	+	0.768240i	−0.985396	−	0.170277i	$-0.945534\pi$
$269$	−21.8240	+	12.6001i	−1.33063	+	0.768240i	−0.345234	+	0.938517i	$0.612200\pi$
$270$	−10.2646	+	0.486497i	−0.624682	+	0.0296072i
$271$	5.88220	−	10.1883i	0.357318	−	0.618894i	−0.630193	−	0.776438i	$-0.717024\pi$
$271$	5.88220	−	10.1883i	0.357318	−	0.618894i	0.987512	+	0.157544i	$0.0503578\pi$
$272$	−17.6844	−	24.0238i	−1.07227	−	1.45666i
$273$	5.77765	−	7.50470i	0.349679	−	0.454205i
$274$	19.9380	+	3.84328i	1.20450	+	0.232181i
$275$	13.5140	+	2.38289i	0.814926	+	0.143693i
$276$	20.8898	−	3.45334i	1.25742	−	0.207866i
$277$	6.90899	−	5.79733i	0.415121	−	0.348328i	−0.411182	−	0.911553i	$-0.634884\pi$
$277$	6.90899	−	5.79733i	0.415121	−	0.348328i	0.826303	+	0.563225i	$0.190440\pi$
$278$	−0.181395	+	11.4122i	−0.0108793	+	0.684456i
$279$	−0.663047	+	4.97999i	−0.0396956	+	0.298144i
$280$	−2.09197	+	10.2534i	−0.125019	+	0.612759i
$281$	−18.1955	−	6.62264i	−1.08546	−	0.395073i	−0.263520	−	0.964654i	$-0.584883\pi$
$281$	−18.1955	−	6.62264i	−1.08546	−	0.395073i	−0.821935	+	0.569581i	$0.807106\pi$
$282$	8.60124	+	23.2554i	0.512196	+	1.38484i
$283$	−5.22844	+	29.6519i	−0.310798	+	1.76262i	0.284072	+	0.958803i	$0.408314\pi$
$283$	−5.22844	+	29.6519i	−0.310798	+	1.76262i	−0.594871	+	0.803821i	$0.702797\pi$
$284$	−12.8830	−	2.69638i	−0.764464	−	0.160001i
$285$	−2.61245	−	6.73249i	−0.154748	−	0.398798i
$286$	−4.70204	+	12.3066i	−0.278037	+	0.727702i
$287$	−6.29438	−	16.2276i	−0.371545	−	0.957885i
$288$	−5.20557	−	16.1525i	−0.306741	−	0.951793i
$289$	−38.6177			−2.27163
$290$	3.13728	−	2.54863i	0.184227	−	0.149661i
$291$	−22.9110	+	4.53984i	−1.34306	+	0.266130i
$292$	12.4575	+	2.60734i	0.729022	+	0.152583i
$293$	13.2294	+	2.33271i	0.772872	+	0.136278i	0.546157	−	0.837683i	$-0.316090\pi$
$293$	13.2294	+	2.33271i	0.772872	+	0.136278i	0.226715	+	0.973961i	$0.427201\pi$
$294$	−5.09947	+	16.3706i	−0.297407	+	0.954751i
$295$	3.80520	+	4.53486i	0.221547	+	0.264030i
$296$	11.5982	+	7.45501i	0.674129	+	0.433313i
$297$	22.7618	−	5.51682i	1.32077	−	0.320118i
$298$	−24.0687	+	13.3906i	−1.39426	+	0.775697i
$299$	2.19361	+	12.4406i	0.126860	+	0.719457i
$300$	−5.17515	−	9.18935i	−0.298787	−	0.530548i
$301$	−7.13766	−	8.15319i	−0.411408	−	0.469942i
$302$	−9.43727	+	3.26599i	−0.543054	+	0.187936i
$303$	−3.37025	+	9.90462i	−0.193616	+	0.569006i
$304$	9.60454	−	7.07008i	0.550858	−	0.405497i
$305$	−2.61870	+	4.53571i	−0.149946	+	0.259714i
$306$	−30.0064	−	10.0368i	−1.71535	−	0.573765i
$307$	−9.32841	+	16.1573i	−0.532401	+	0.922145i	0.466884	+	0.884319i	$0.345377\pi$
$307$	−9.32841	+	16.1573i	−0.532401	+	0.922145i	−0.999284	+	0.0378262i	$0.987957\pi$
$308$	0.258475	−	23.8492i	0.0147280	−	1.35893i
$309$	1.68065	−	0.652153i	0.0956088	−	0.0370997i
$310$	3.12972	−	1.08311i	0.177756	−	0.0615166i
$311$	1.79437	−	10.1764i	0.101749	−	0.577050i	−0.890720	−	0.454553i	$-0.849799\pi$
$311$	1.79437	−	10.1764i	0.101749	−	0.577050i	0.992469	−	0.122496i	$-0.0390900\pi$
$312$	9.60315	−	3.20873i	0.543671	−	0.181658i
$313$	2.19857	+	2.62015i	0.124270	+	0.148100i	0.824592	−	0.565728i	$-0.191405\pi$
$313$	2.19857	+	2.62015i	0.124270	+	0.148100i	−0.700322	+	0.713827i	$0.746960\pi$
$314$	1.23027	−	2.05477i	0.0694282	−	0.115957i
$315$	4.44657	+	10.1698i	0.250536	+	0.573006i
$316$	−1.77834	+	0.952687i	−0.100039	+	0.0535928i
$317$	−12.5385	−	4.56364i	−0.704231	−	0.256319i	−0.0350150	−	0.999387i	$-0.511148\pi$
$317$	−12.5385	−	4.56364i	−0.704231	−	0.256319i	−0.669216	+	0.743067i	$0.733370\pi$
$318$	11.6856	−	32.6320i	0.655295	−	1.82991i
$319$	−5.92163	+	7.05712i	−0.331548	+	0.395123i
$320$	−7.97431	+	7.84625i	−0.445778	+	0.438618i
$321$	−0.517335	−	24.5325i	−0.0288748	−	1.36927i
$322$	−11.5349	−	19.7478i	−0.642814	−	1.10050i
$323$		−	22.2355i		−	1.23722i
$324$	−14.3775	−	10.8299i	−0.798751	−	0.601662i
$325$	5.44923	−	3.14611i	0.302269	−	0.174515i
$326$	3.15551	+	1.20564i	0.174767	+	0.0667744i
$327$	10.0870	−	18.3542i	0.557811	−	1.01499i
$328$	4.10086	−	18.1498i	0.226432	−	1.00216i
$329$	20.1508	−	17.6409i	1.11095	−	0.972576i
$330$	−9.98542	−	11.7755i	−0.549679	−	0.648219i
$331$	−1.74848	+	4.80391i	−0.0961053	+	0.264047i	−0.978425	−	0.206604i	$-0.933759\pi$
$331$	−1.74848	+	4.80391i	−0.0961053	+	0.264047i	0.882319	+	0.470651i	$0.155981\pi$
$332$	−16.0304	+	25.8330i	−0.879784	+	1.41777i
$333$	14.6108	−	0.616492i	0.800668	−	0.0337836i
$334$	12.3603	−	6.87667i	0.676328	−	0.376275i
$335$	7.33915	+	2.67123i	0.400981	+	0.145945i
$336$	−14.2923	+	11.4773i	−0.779711	+	0.626139i
$337$	−22.7707	−	19.1069i	−1.24040	−	1.04082i	−0.997493	−	0.0707665i	$-0.977455\pi$
$337$	−22.7707	−	19.1069i	−1.24040	−	1.04082i	−0.242904	−	0.970050i	$-0.578100\pi$
$338$	−4.03699	−	11.6651i	−0.219584	−	0.634500i
$339$	−15.0250	−	12.0769i	−0.816047	−	0.655930i
$340$	2.96726	+	20.6456i	0.160922	+	1.11967i
$341$	−6.53692	+	3.77409i	−0.353994	+	0.204378i
$342$	4.01263	−	11.9963i	0.216978	−	0.648686i
$343$	18.4837	−	1.16321i	0.998026	−	0.0628074i
$344$	−1.46555	−	11.4912i	−0.0790173	−	0.619563i
$345$	−14.0152	−	4.76897i	−0.754554	−	0.256753i
$346$	−19.1392	−	16.5851i	−1.02893	−	0.891622i
$347$	−0.708517	−	1.94663i	−0.0380352	−	0.104501i	0.919221	−	0.393741i	$-0.128819\pi$
$347$	−0.708517	−	1.94663i	−0.0380352	−	0.104501i	−0.957256	+	0.289241i	$0.906597\pi$
$348$	7.07978	+	0.0757740i	0.379516	+	0.00406191i
$349$	22.5076	+	26.8235i	1.20480	+	1.43583i	0.869651	+	0.493666i	$0.164344\pi$
$349$	22.5076	+	26.8235i	1.20480	+	1.43583i	0.335153	+	0.942164i	$0.391212\pi$
$350$	−7.27804	+	8.76323i	−0.389028	+	0.468414i
$351$	6.36921	−	8.64662i	0.339963	−	0.461523i
$352$	14.4613	−	20.9996i	0.770792	−	1.11928i
$353$	9.07875	−	24.9437i	0.483213	−	1.32762i	−0.423511	−	0.905891i	$-0.639202\pi$
$353$	9.07875	−	24.9437i	0.483213	−	1.32762i	0.906724	−	0.421726i	$-0.138575\pi$
$354$	0.0538282	+	10.3693i	0.00286094	+	0.551122i
$355$	7.04987	+	5.91554i	0.374168	+	0.313964i
$356$	−0.117126	−	0.356687i	−0.00620766	−	0.0189044i
$357$	1.43612	+	34.1454i	0.0760076	+	1.80717i
$358$	−1.07931	−	6.74635i	−0.0570431	−	0.356556i
$359$			27.3403i			1.44297i	0.692432	+	0.721483i	$0.256539\pi$
$359$			27.3403i			1.44297i	−0.692432	+	0.721483i	$0.743461\pi$
$360$	−2.12485	+	11.6740i	−0.111989	+	0.615274i
$361$	−10.1104			−0.532127
$362$	17.9491	−	14.5813i	0.943385	−	0.766378i
$363$	12.5767	+	10.1090i	0.660106	+	0.530586i
$364$	−6.93851	−	8.45337i	−0.363677	−	0.443077i
$365$	−6.81706	−	5.72019i	−0.356821	−	0.299408i
$366$	−8.60435	+	3.18241i	−0.449757	+	0.166347i
$367$	2.86521	+	16.2494i	0.149563	+	0.848213i	0.963590	+	0.267385i	$0.0861597\pi$
$367$	2.86521	+	16.2494i	0.149563	+	0.848213i	−0.814027	+	0.580827i	$0.802729\pi$
$368$	1.55327	−	24.3994i	0.0809696	−	1.27191i
$369$	−7.52597	−	18.2448i	−0.391786	−	0.949786i
$370$	−4.68680	−	8.42420i	−0.243655	−	0.437953i
$371$	−37.4301	+	0.784261i	−1.94328	+	0.0407168i
$372$	5.42974	+	2.04233i	0.281519	+	0.105890i
$373$	2.91439	−	16.5283i	0.150901	−	0.855804i	−0.811537	−	0.584302i	$-0.801369\pi$
$373$	2.91439	−	16.5283i	0.150901	−	0.855804i	0.962438	−	0.271502i	$-0.0875204\pi$
$374$	−15.5470	−	44.9239i	−0.803914	−	2.32296i
$375$	0.410793	+	19.4802i	0.0212133	+	1.00595i
$376$	28.4008	−	3.62216i	1.46466	−	0.186798i
$377$			4.22421i			0.217558i
$378$	−5.38709	+	18.6810i	−0.277082	+	0.960846i
$379$		−	14.1494i		−	0.726808i	−0.931632	−	0.363404i	$-0.881614\pi$
$379$		−	14.1494i		−	0.726808i	0.931632	−	0.363404i	$-0.118386\pi$
$380$	−8.25395	+	1.18629i	−0.423419	+	0.0608552i
$381$	−11.4658	−	6.30128i	−0.587411	−	0.322824i
$382$	6.81394	−	2.35812i	0.348632	−	0.120652i
$383$	2.65583	−	15.0620i	0.135707	−	0.769630i	−0.838658	−	0.544658i	$-0.816660\pi$
$383$	2.65583	−	15.0620i	0.135707	−	0.769630i	0.974365	−	0.224973i	$-0.0722293\pi$
$384$	−19.5262	+	1.65121i	−0.996444	+	0.0842627i
$385$	−8.03379	+	14.6136i	−0.409440	+	0.744778i
$386$	11.0657	−	6.15639i	0.563228	−	0.313352i
$387$	−8.28768	−	9.07104i	−0.421286	−	0.461107i
$388$	−0.857143	+	26.9560i	−0.0435148	+	1.36849i
$389$	0.900293	+	5.10582i	0.0456467	+	0.258875i	0.999088	−	0.0427041i	$-0.0135973\pi$
$389$	0.900293	+	5.10582i	0.0456467	+	0.258875i	−0.953441	+	0.301579i	$0.902486\pi$
$390$	−6.97815	−	1.19312i	−0.353353	−	0.0604160i
$391$	−34.9187	−	29.3003i	−1.76592	−	1.48178i
$392$	17.0889	+	9.99846i	0.863120	+	0.504998i
$393$	−2.93278	+	18.9623i	−0.147939	+	0.956520i
$394$	−17.7051	−	21.7944i	−0.891969	−	1.09798i
$395$	1.41060			0.0709749
$396$	−0.280770	−	27.0425i	−0.0141092	−	1.35894i
$397$			20.8079i			1.04432i	0.852848	+	0.522160i	$0.174874\pi$
$397$			20.8079i			1.04432i	−0.852848	+	0.522160i	$0.825126\pi$
$398$	−8.73328	+	1.39718i	−0.437760	+	0.0700344i
$399$	−13.6511	+	0.574150i	−0.683408	+	0.0287434i
$400$	−11.6850	+	3.42966i	−0.584250	+	0.171483i
$401$	6.58745	+	5.52752i	0.328961	+	0.276031i	0.792277	−	0.610162i	$-0.208896\pi$
$401$	6.58745	+	5.52752i	0.328961	+	0.276031i	−0.463315	+	0.886194i	$0.653340\pi$
$402$	6.90170	+	11.8121i	0.344226	+	0.589132i
$403$	−1.18376	+	3.25237i	−0.0589675	+	0.162012i
$404$	10.2651	+	6.36988i	0.510706	+	0.316914i
$405$	5.28548	+	11.4219i	0.262638	+	0.567561i
$406$	−2.65189	−	7.17296i	−0.131611	−	0.355988i
$407$	14.1230	+	16.8311i	0.700051	+	0.834288i
$408$	−19.1026	+	31.1435i	−0.945718	+	1.54183i
$409$	8.62693	+	23.7023i	0.426574	+	1.17200i	0.947878	+	0.318632i	$0.103223\pi$
$409$	8.62693	+	23.7023i	0.426574	+	1.17200i	−0.521304	+	0.853371i	$0.674554\pi$
$410$	−8.52016	+	9.83226i	−0.420781	+	0.485581i
$411$	−4.83374	−	24.3941i	−0.238431	−	1.20327i
$412$	−0.296136	−	2.06046i	−0.0145896	−	0.101511i
$413$	10.4423	−	4.05035i	0.513830	−	0.199305i
$414$	−13.5515	−	22.1093i	−0.666020	−	1.08661i
$415$	18.4095	−	10.6287i	0.903688	−	0.521745i
$416$	−1.10977	−	11.6386i	−0.0544110	−	0.570629i
$417$	13.0320	−	5.05690i	0.638181	−	0.247637i
$418$	17.9602	−	6.21555i	0.878463	−	0.304012i
$419$	23.6940	+	19.8817i	1.15753	+	0.971282i	0.999869	−	0.0162112i	$-0.00516040\pi$
$419$	23.6940	+	19.8817i	1.15753	+	0.971282i	0.157660	+	0.987493i	$0.449605\pi$
$420$	12.5984	−	2.35479i	0.614737	−	0.114902i
$421$	−4.49853	−	1.63733i	−0.219245	−	0.0797986i	0.230062	−	0.973176i	$-0.426107\pi$
$421$	−4.49853	−	1.63733i	−0.219245	−	0.0797986i	−0.449307	+	0.893377i	$0.648329\pi$
$422$	17.2608	+	31.0252i	0.840245	+	1.51028i
$423$	22.4193	−	20.4832i	1.09007	−	0.995929i
$424$	−33.6680	−	21.6409i	−1.63506	−	1.05098i
$425$	−7.76554	+	21.3356i	−0.376684	+	1.03493i
$426$	2.88162	+	15.8606i	0.139615	+	0.768448i
$427$	6.52704	+	7.45570i	0.315866	+	0.360806i
$428$	−27.7331	−	5.80449i	−1.34053	−	0.280570i
$429$	16.1315	−	0.340177i	0.778836	−	0.0164239i
$430$	−2.89088	+	7.56625i	−0.139410	+	0.364877i
$431$	35.2314	−	20.3408i	1.69703	−	0.979783i	0.748487	−	0.663150i	$-0.230781\pi$
$431$	35.2314	−	20.3408i	1.69703	−	0.979783i	0.948548	−	0.316634i	$-0.102553\pi$
$432$	−15.9262	+	13.3550i	−0.766250	+	0.642542i
$433$		−	16.3077i		−	0.783696i	−0.920030	−	0.391848i	$-0.871836\pi$
$433$		−	16.3077i		−	0.783696i	0.920030	−	0.391848i	$-0.128164\pi$
$434$	−0.0316809	−	6.26587i	−0.00152073	−	0.300771i
$435$	−4.33846	−	2.38429i	−0.208013	−	0.114318i
$436$	−18.0221	−	16.1257i	−0.863103	−	0.772280i
$437$	11.7140	−	13.9602i	0.560358	−	0.667809i
$438$	−2.78646	−	15.3368i	−0.133142	−	0.732822i
$439$	−6.57558	−	2.39332i	−0.313835	−	0.114227i	0.180300	−	0.983612i	$-0.442293\pi$
$439$	−6.57558	−	2.39332i	−0.313835	−	0.114227i	−0.494135	+	0.869385i	$0.664515\pi$
$440$	−15.8466	+	8.16785i	−0.755455	+	0.389387i
$441$	20.9258	−	1.76336i	0.996468	−	0.0839694i
$442$	−18.7018	−	11.1975i	−0.889556	−	0.532612i
$443$	−13.2467	−	15.7868i	−0.629368	−	0.750051i	0.353283	−	0.935516i	$-0.385065\pi$
$443$	−13.2467	−	15.7868i	−0.629368	−	0.750051i	−0.982651	+	0.185465i	$0.940621\pi$
$444$	3.11005	−	16.5973i	0.147597	−	0.787671i
$445$	−0.0455821	+	0.258509i	−0.00216080	+	0.0122545i
$446$	5.31646	+	15.3622i	0.251742	+	0.727423i
$447$	26.2924	+	21.1335i	1.24359	+	0.999581i
$448$	9.19099	+	19.0663i	0.434233	+	0.900800i
$449$	3.19469	−	5.53336i	0.150767	−	0.261136i	−0.780743	−	0.624852i	$-0.785159\pi$
$449$	3.19469	−	5.53336i	0.150767	−	0.261136i	0.931510	+	0.363717i	$0.118492\pi$
$450$	−8.03983	+	10.1094i	−0.379001	+	0.476563i
$451$	14.8262	−	25.6797i	0.698137	−	1.20921i
$452$	−17.4977	+	13.7588i	−0.823020	+	0.647159i
$453$	8.05761	+	9.20152i	0.378579	+	0.432325i
$454$	−8.12707	−	23.4837i	−0.381422	−	1.10214i
$455$	1.48528	+	7.50101i	0.0696312	+	0.351653i
$456$	−12.4509	−	7.63706i	−0.583068	−	0.357638i
$457$	−5.34985	−	30.3405i	−0.250255	−	1.41927i	−0.807964	−	0.589232i	$-0.799430\pi$
$457$	−5.34985	−	30.3405i	−0.250255	−	1.41927i	0.557708	−	0.830037i	$-0.311681\pi$
$458$	12.1464	+	21.8324i	0.567566	+	1.02016i
$459$	2.44955	+	38.6740i	0.114335	+	1.80515i
$460$	−9.01350	+	14.5252i	−0.420256	+	0.677243i
$461$	4.15851	+	4.95592i	0.193681	+	0.230820i	0.854141	−	0.520041i	$-0.174083\pi$
$461$	4.15851	+	4.95592i	0.193681	+	0.230820i	−0.660460	+	0.750861i	$0.729639\pi$
$462$	−27.1787	+	10.7047i	−1.26447	+	0.498030i
$463$	−40.9842	−	7.22662i	−1.90470	−	0.335849i	−0.908133	−	0.418681i	$-0.862492\pi$
$463$	−40.9842	−	7.22662i	−1.90470	−	0.335849i	−0.996564	+	0.0828321i	$0.973603\pi$
$464$	1.92830	−	7.94483i	0.0895191	−	0.368830i
$465$	−2.67217	−	3.05153i	−0.123919	−	0.141512i
$466$	6.83944	+	8.41913i	0.316831	+	0.390008i
$467$	23.7060			1.09698			0.548491	−	0.836156i	$-0.315202\pi$
$467$	23.7060			1.09698			0.548491	+	0.836156i	$0.315202\pi$
$468$	−8.06914	−	9.41613i	−0.372996	−	0.435261i
$469$	9.25909	−	11.5161i	0.427545	−	0.531765i
$470$	−18.7002	−	7.14489i	−0.862576	−	0.329569i
$471$	−2.89870	−	0.448325i	−0.133565	−	0.0206577i
$472$	11.6792	+	2.63885i	0.537578	+	0.121463i
$473$	3.20563	−	18.1800i	0.147395	−	0.835918i
$474$	1.90101	+	1.57839i	0.0873162	+	0.0724979i
$475$	−8.52982	−	3.10460i	−0.391375	−	0.142449i
$476$	38.7865	+	7.27337i	1.77778	+	0.333374i
$477$	−42.4134	+	1.78960i	−1.94197	+	0.0819401i
$478$	−35.3064	−	0.561191i	−1.61488	−	0.0256683i
$479$	0.550764	−	0.462146i	0.0251650	−	0.0211160i	−0.630118	−	0.776499i	$-0.716994\pi$
$479$	0.550764	−	0.462146i	0.0251650	−	0.0211160i	0.655283	+	0.755383i	$0.272549\pi$
$480$	12.5798	+	5.42945i	0.574186	+	0.247819i
$481$	9.92161	+	1.74945i	0.452386	+	0.0797679i
$482$	−0.183927	+	0.954168i	−0.00837766	+	0.0434612i
$483$	−17.0867	+	22.1943i	−0.777472	+	1.00987i
$484$	14.6464	−	11.5168i	0.665747	−	0.523491i
$485$	9.42859	−	16.3308i	0.428130	−	0.741543i
$486$	−5.65757	+	21.3071i	−0.256632	+	0.966509i
$487$	10.5040	−	6.06448i	0.475981	−	0.274808i	−0.242759	−	0.970087i	$-0.578052\pi$
$487$	10.5040	−	6.06448i	0.475981	−	0.274808i	0.718740	+	0.695279i	$0.244719\pi$
$488$	1.34018	+	10.5081i	0.0606669	+	0.475680i
$489$	−0.0872242	−	4.13625i	−0.00394442	−	0.187048i
$490$	−7.23112	−	11.8047i	−0.326669	−	0.533284i
$491$	12.8946	+	35.4276i	0.581924	+	1.59882i	0.784888	+	0.619638i	$0.212720\pi$
$491$	12.8946	+	35.4276i	0.581924	+	1.59882i	−0.202964	+	0.979186i	$0.565057\pi$
$492$	−22.4841	+	3.71689i	−1.01366	+	0.167571i
$493$	−9.79779	−	11.6766i	−0.441270	−	0.525885i
$494$	4.47669	−	7.47685i	0.201416	−	0.336399i
$495$	−8.75582	+	16.7598i	−0.393545	+	0.753298i
$496$	3.71108	−	5.57664i	0.166632	−	0.250398i
$497$	14.8934	−	9.01990i	0.668062	−	0.404598i
$498$	36.7028	+	6.27543i	1.64469	+	0.281209i
$499$	7.60078	+	20.8830i	0.340257	+	0.934850i	0.985320	+	0.170720i	$0.0546092\pi$
$499$	7.60078	+	20.8830i	0.340257	+	0.934850i	−0.645062	+	0.764130i	$0.723169\pi$
$500$	22.0216	+	4.60909i	0.984837	+	0.206125i
$501$	−13.5023	−	10.8530i	−0.603238	−	0.484876i
$502$	6.56527	+	8.08162i	0.293022	+	0.360701i
$503$	−12.1719	+	21.0823i	−0.542717	+	0.940013i	0.456030	+	0.889964i	$0.349271\pi$
$503$	−12.1719	+	21.0823i	−0.542717	+	0.940013i	−0.998747	+	0.0500486i	$0.984062\pi$
$504$	19.6132	+	10.9235i	0.873641	+	0.486571i
$505$	−4.22346	−	7.31525i	−0.187942	−	0.325524i
$506$	13.9057	−	36.3952i	0.618184	−	1.61796i
$507$	−11.3737	+	9.95979i	−0.505126	+	0.442330i
$508$	−10.0736	+	11.2583i	−0.446945	+	0.499507i
$509$	6.54024	−	7.79436i	0.289891	−	0.345479i	−0.601369	−	0.798972i	$-0.705378\pi$
$509$	6.54024	−	7.79436i	0.289891	−	0.345479i	0.891260	+	0.453493i	$0.149822\pi$
$510$	22.0564	−	12.8874i	0.976673	−	0.570663i
$511$	−14.4016	+	8.72202i	−0.637089	+	0.385840i
$512$	−3.22564	+	22.3963i	−0.142555	+	0.989787i
$513$	−15.4616	+	0.979309i	−0.682644	+	0.0432375i
$514$	−9.70284	−	17.4402i	−0.427974	−	0.769254i
$515$	−0.497801	+	1.36770i	−0.0219358	+	0.0602680i
$516$	−12.3622	+	6.96198i	−0.544215	+	0.306484i
$517$	44.9324	+	7.92280i	1.97613	+	0.348444i
$518$	−17.9458	+	3.25796i	−0.788492	+	0.143147i
$519$	−9.99164	+	29.3638i	−0.438584	+	1.28893i
$520$	−3.15883	+	7.53963i	−0.138524	+	0.330635i
$521$	−17.7680	−	10.2584i	−0.778431	−	0.449427i	0.0574432	−	0.998349i	$-0.481705\pi$
$521$	−17.7680	−	10.2584i	−0.778431	−	0.449427i	−0.835874	+	0.548922i	$0.815039\pi$
$522$	−3.17886	−	8.06774i	−0.139135	−	0.353115i
$523$	−2.89320	−	5.01117i	−0.126511	−	0.219123i	0.795812	−	0.605544i	$-0.207044\pi$
$523$	−2.89320	−	5.01117i	−0.126511	−	0.219123i	−0.922322	+	0.386421i	$0.873711\pi$
$524$	20.5685	+	8.23569i	0.898541	+	0.359778i
$525$	13.2991	+	4.21659i	0.580421	+	0.184027i
$526$	16.7486	+	14.5135i	0.730273	+	0.632819i
$527$	−4.27150	−	11.7359i	−0.186070	−	0.511222i
$528$	−30.4952	−	6.72404i	−1.32713	−	0.292626i
$529$	−2.49343	−	14.1410i	−0.108410	−	0.614824i
$530$	13.6052	+	24.4544i	0.590972	+	1.06223i
$531$	11.7403	−	4.84286i	0.509485	−	0.210162i
$532$	−2.90784	+	15.5065i	−0.126071	+	0.672294i
$533$	−2.36103	−	13.3900i	−0.102267	−	0.579987i
$534$	−0.350688	+	0.297378i	−0.0151758	+	0.0128688i
$535$	15.1762	+	12.7343i	0.656124	+	0.550554i
$536$	15.0850	−	4.68923i	0.651571	−	0.202544i
$537$	−7.15677	+	4.33567i	−0.308837	+	0.187098i
$538$	27.6612	−	22.4711i	1.19256	−	0.968799i
$539$	21.2754	+	23.2990i	0.916396	+	1.00356i
$540$	14.2253	−	2.97258i	0.612160	−	0.127919i
$541$	15.7812	−	27.3339i	0.678487	−	1.17517i	−0.296949	−	0.954893i	$-0.595969\pi$
$541$	15.7812	−	27.3339i	0.678487	−	1.17517i	0.975436	−	0.220281i	$-0.0706975\pi$
$542$	−5.93807	+	15.5416i	−0.255062	+	0.667570i
$543$	−24.8214	−	13.6411i	−1.06519	−	0.585396i
$544$	30.0626	+	29.5974i	1.28893	+	1.26898i
$545$	5.78321	+	15.8892i	0.247726	+	0.680620i
$546$	−6.39160	+	11.7708i	−0.273535	+	0.503742i
$547$	40.0249	−	7.05747i	1.71134	−	0.301755i	0.769707	−	0.638397i	$-0.220402\pi$
$547$	40.0249	−	7.05747i	1.71134	−	0.301755i	0.941633	+	0.336642i	$0.109291\pi$
$548$	−28.7011	−	0.912631i	−1.22605	−	0.0389857i
$549$	7.57868	+	8.29503i	0.323450	+	0.354023i
$550$	−19.4041	−	0.308425i	−0.827393	−	0.0131513i
$551$	4.66819	−	3.91708i	0.198872	−	0.166873i
$552$	−28.4002	+	9.48942i	−1.20879	+	0.403897i
$553$	0.860060	−	2.52646i	0.0365735	−	0.107436i
$554$	−8.35292	+	9.63925i	−0.354881	+	0.409533i
$555$	−7.39688	+	9.20251i	−0.313980	+	0.390625i
$556$	−2.29628	−	15.9771i	−0.0973841	−	0.677580i
$557$	−2.95486			−0.125201			−0.0626007	−	0.998039i	$-0.519939\pi$
$557$	−2.95486			−0.125201			−0.0626007	+	0.998039i	$0.519939\pi$
$558$	−0.186665	−	7.10246i	−0.00790216	−	0.300671i
$559$	−4.23238	−	7.33069i	−0.179010	−	0.310055i
$560$	0.630621	−	14.7858i	0.0266486	−	0.624815i
$561$	−43.8017	+	38.3563i	−1.84931	+	1.61941i
$562$	26.8888	+	5.18315i	1.13424	+	0.218638i
$563$	27.9239	−	10.1635i	1.17685	−	0.428338i	0.321762	−	0.946821i	$-0.395725\pi$
$563$	27.9239	−	10.1635i	1.17685	−	0.428338i	0.855088	+	0.518482i	$0.173503\pi$
$564$	−17.2067	−	30.5535i	−0.724534	−	1.28653i
$565$	15.3272	−	2.70259i	0.644819	−	0.113699i
$566$	0.676735	−	42.5757i	0.0284453	−	1.78959i
$567$	23.6799	−	2.50246i	0.994462	−	0.105094i
$568$	18.5929	+	0.887193i	0.780141	+	0.0372258i
$569$	1.15117	+	6.52860i	0.0482595	+	0.273693i	0.999383	−	0.0351169i	$-0.0111803\pi$
$569$	1.15117	+	6.52860i	0.0482595	+	0.273693i	−0.951124	+	0.308810i	$0.900069\pi$
$570$	5.15227	+	8.81797i	0.215805	+	0.369344i
$571$	−4.46287	−	12.2616i	−0.186765	−	0.513133i	0.810606	−	0.585592i	$-0.199138\pi$
$571$	−4.46287	−	12.2616i	−0.186765	−	0.513133i	−0.997371	+	0.0724584i	$0.976916\pi$
$572$	3.81677	−	18.2360i	0.159587	−	0.762487i
$573$	−5.81779	−	6.64373i	−0.243042	−	0.277546i
$574$	12.4152	+	21.2549i	0.518202	+	0.887162i
$575$	−16.1154	+	9.30425i	−0.672060	+	0.388014i
$576$	10.8780	+	21.3932i	0.453249	+	0.891384i
$577$			29.6107i			1.23271i	0.787469	+	0.616355i	$0.211391\pi$
$577$			29.6107i			1.23271i	−0.787469	+	0.616355i	$0.788609\pi$
$578$	53.9279	−	8.62759i	2.24310	−	0.358860i
$579$	−12.0880	−	9.71623i	−0.502361	−	0.403793i
$580$	−3.81168	+	4.25995i	−0.158271	+	0.176885i
$581$	−7.81211	−	39.4529i	−0.324101	−	1.63678i
$582$	30.9799	−	11.4582i	1.28416	−	0.474959i
$583$	−40.9973	−	48.8586i	−1.69793	−	2.02352i
$584$	−17.9789	−	0.857895i	−0.743972	−	0.0354999i
$585$	1.86424	+	8.46770i	0.0770769	+	0.350096i
$586$	−18.9955	−	0.301931i	−0.784696	−	0.0124726i
$587$	−4.25679	−	24.1415i	−0.175697	−	0.996425i	−0.937337	−	0.348425i	$-0.886717\pi$
$587$	−4.25679	−	24.1415i	−0.175697	−	0.996425i	0.761640	−	0.648000i	$-0.224395\pi$
$588$	3.46383	−	24.0000i	0.142846	−	0.989745i
$589$	4.69190	−	1.70771i	0.193327	−	0.0703651i
$590$	−6.32693	−	5.48262i	−0.260476	−	0.225716i
$591$	−16.5634	+	30.1388i	−0.681329	+	1.23975i
$592$	−17.8618	−	7.81944i	−0.734117	−	0.321377i
$593$	8.43651	+	4.87082i	0.346446	+	0.200021i	0.663119	−	0.748514i	$-0.269232\pi$
$593$	8.43651	+	4.87082i	0.346446	+	0.200021i	−0.316673	+	0.948535i	$0.602566\pi$
$594$	−30.5533	+	12.7892i	−1.25362	+	0.524747i
$595$	−21.5038	−	17.2893i	−0.881568	−	0.708791i
$596$	30.6192	−	24.0766i	1.25421	−	0.986215i
$597$	5.61260	+	9.26456i	0.229708	+	0.379173i
$598$	−5.84263	−	16.8826i	−0.238923	−	0.690383i
$599$	−5.96105	+	7.10410i	−0.243562	+	0.290266i	−0.873951	−	0.486013i	$-0.838451\pi$
$599$	−5.96105	+	7.10410i	−0.243562	+	0.290266i	0.630390	+	0.776279i	$0.282895\pi$
$600$	9.27985	+	11.6763i	0.378848	+	0.476685i
$601$	21.4389	−	3.78025i	0.874510	−	0.154200i	0.281662	−	0.959514i	$-0.409114\pi$
$601$	21.4389	−	3.78025i	0.874510	−	0.154200i	0.592848	+	0.805314i	$0.298003\pi$
$602$	11.7889	+	9.79094i	0.480481	+	0.399049i
$603$	10.2194	−	13.2779i	0.416166	−	0.540717i
$604$	12.4491	−	6.66919i	0.506545	−	0.271365i
$605$	−12.8296	+	2.26221i	−0.521599	+	0.0919719i
$606$	2.49362	−	14.5843i	0.101296	−	0.592447i
$607$	−15.1826	+	5.52603i	−0.616245	+	0.224295i	−0.631233	−	0.775593i	$-0.717451\pi$
$607$	−15.1826	+	5.52603i	−0.616245	+	0.224295i	0.0149887	+	0.999888i	$0.495229\pi$
$608$	−11.8328	+	12.0188i	−0.479883	+	0.487427i
$609$	−6.91560	+	6.31667i	−0.280234	+	0.255964i
$610$	2.64357	−	6.91896i	0.107035	−	0.280141i
$611$	18.1180	−	10.4604i	0.732976	−	0.423184i
$612$	44.1449	+	7.31221i	1.78445	+	0.295579i
$613$	−11.2224	+	19.4378i	−0.453269	+	0.785085i	−0.998587	−	0.0531442i	$-0.983076\pi$
$613$	−11.2224	+	19.4378i	−0.453269	+	0.785085i	0.545318	+	0.838229i	$0.316409\pi$
$614$	9.41701	−	24.6470i	0.380040	−	0.994672i
$615$	15.0849	+	5.13293i	0.608280	+	0.206980i
$616$	4.96720	+	33.3620i	0.200134	+	1.34419i
$617$	−2.10885	+	11.9599i	−0.0848992	+	0.481488i	0.912479	+	0.409123i	$0.134165\pi$
$617$	−2.10885	+	11.9599i	−0.0848992	+	0.481488i	−0.997378	+	0.0723641i	$0.976946\pi$
$618$	−2.20125	+	1.28618i	−0.0885474	+	0.0517376i
$619$	28.1987	+	10.2635i	1.13340	+	0.412524i	0.839526	−	0.543319i	$-0.182833\pi$
$619$	28.1987	+	10.2635i	1.13340	+	0.412524i	0.293875	+	0.955844i	$0.405055\pi$
$620$	−4.12853	+	2.21173i	−0.165806	+	0.0888251i
$621$	−18.8362	+	25.5714i	−0.755870	+	1.02614i
$622$	−0.232252	+	14.6117i	−0.00931245	+	0.585878i
$623$	0.435211	+	0.239256i	0.0174364	+	0.00958559i
$624$	−12.6935	+	6.62628i	−0.508147	+	0.265264i
$625$	−0.389711	−	0.327006i	−0.0155884	−	0.0130802i
$626$	−3.65557	−	3.16774i	−0.146106	−	0.126608i
$627$	−15.3346	−	17.5116i	−0.612403	−	0.699344i
$628$	−1.25896	+	3.14424i	−0.0502380	+	0.125469i
$629$	−31.4830	+	18.1767i	−1.25531	+	0.724754i
$630$	−8.48148	−	13.2083i	−0.337910	−	0.526232i
$631$	−17.4816	−	10.0930i	−0.695930	−	0.401795i	0.109900	−	0.993943i	$-0.464947\pi$
$631$	−17.4816	−	10.0930i	−0.695930	−	0.401795i	−0.805830	+	0.592147i	$0.798280\pi$
$632$	2.27053	−	1.72768i	0.0903169	−	0.0687236i
$633$	27.2417	−	33.8916i	1.08276	−	1.34707i
$634$	18.5290	+	3.57169i	0.735881	+	0.141850i
$635$	9.92592	−	3.61274i	0.393898	−	0.143367i
$636$	−9.02809	+	48.1797i	−0.357987	+	1.91045i
$637$	14.3403	+	1.91324i	0.568183	+	0.0758052i
$638$	6.69266	−	11.1779i	0.264965	−	0.442538i
$639$	16.6667	−	10.5836i	0.659326	−	0.418681i
$640$	9.38284	−	12.7385i	0.370889	−	0.503532i
$641$	−4.63002	+	3.88505i	−0.182875	+	0.153450i	−0.729630	−	0.683843i	$-0.760307\pi$
$641$	−4.63002	+	3.88505i	−0.182875	+	0.153450i	0.546755	+	0.837293i	$0.315863\pi$
$642$	6.20325	+	34.1430i	0.244823	+	1.34752i
$643$	9.95980	−	3.62507i	0.392776	−	0.142959i	−0.138079	−	0.990421i	$-0.544093\pi$
$643$	9.95980	−	3.62507i	0.392776	−	0.142959i	0.530856	+	0.847462i	$0.321871\pi$
$644$	20.5198	+	24.9998i	0.808594	+	0.985132i
$645$	9.91787	−	0.209145i	0.390516	−	0.00823509i
$646$	4.96764	+	31.0509i	0.195449	+	1.22168i
$647$	−7.24480	−	12.5484i	−0.284822	−	0.493327i	0.687744	−	0.725954i	$-0.258601\pi$
$647$	−7.24480	−	12.5484i	−0.284822	−	0.493327i	−0.972566	+	0.232627i	$0.925268\pi$
$648$	22.4971	+	11.9114i	0.883768	+	0.467925i
$649$	16.5245	+	9.54045i	0.648645	+	0.374495i
$650$	−6.90673	+	5.61082i	−0.270904	+	0.220074i
$651$	−7.09471	+	2.92544i	−0.278064	+	0.114657i
$652$	−4.67588	−	0.978653i	−0.183122	−	0.0383270i
$653$	−4.30156	+	24.3954i	−0.168333	+	0.954664i	0.777228	+	0.629219i	$0.216625\pi$
$653$	−4.30156	+	24.3954i	−0.168333	+	0.954664i	−0.945561	+	0.325445i	$0.894486\pi$
$654$	−9.98548	+	27.8844i	−0.390463	+	1.09037i
$655$	−9.95775	−	11.8672i	−0.389082	−	0.463689i
$656$	−1.67181	+	26.2616i	−0.0652733	+	1.02534i
$657$	−16.1164	+	10.2341i	−0.628759	+	0.399271i
$658$	−24.1986	+	29.1367i	−0.943359	+	1.13587i
$659$	6.11947	−	16.8131i	0.238381	−	0.654945i	−0.761596	−	0.648053i	$-0.775584\pi$
$659$	6.11947	−	16.8131i	0.238381	−	0.654945i	0.999976	−	0.00689282i	$-0.00219407\pi$
$660$	16.5750	+	14.2131i	0.645179	+	0.553244i
$661$	−2.81189	−	0.495812i	−0.109370	−	0.0192848i	0.118695	−	0.992931i	$-0.462129\pi$
$661$	−2.81189	−	0.495812i	−0.109370	−	0.0192848i	−0.228065	+	0.973646i	$0.573240\pi$
$662$	1.36843	−	7.09908i	0.0531857	−	0.275914i
$663$	−4.08051	+	26.3830i	−0.158474	+	1.02463i
$664$	16.6144	−	39.6560i	0.644765	−	1.53895i
$665$	6.91211	−	8.59703i	0.268040	−	0.333379i
$666$	−20.2656	+	4.12511i	−0.785277	+	0.159845i
$667$		−	12.4926i		−	0.483715i
$668$	−15.7243	+	12.3644i	−0.608393	+	0.478393i
$669$	14.9785	−	13.1164i	0.579102	−	0.507109i
$670$	−10.8456	−	2.09062i	−0.419001	−	0.0807676i
$671$	−2.93139	+	16.6247i	−0.113165	+	0.641791i
$672$	17.3945	−	19.2206i	0.671006	−	0.741452i
$673$	−10.2848	+	8.63001i	−0.396452	+	0.332663i	−0.819120	−	0.573622i	$-0.805538\pi$
$673$	−10.2848	+	8.63001i	−0.396452	+	0.332663i	0.422668	+	0.906284i	$0.361093\pi$
$674$	36.0669	+	21.5947i	1.38924	+	0.831796i
$675$	15.1778	+	4.46012i	0.584195	+	0.171670i
$676$	8.24359	+	15.3879i	0.317061	+	0.591844i
$677$	−19.2324	+	3.39119i	−0.739162	+	0.130334i	−0.530537	−	0.847662i	$-0.678010\pi$
$677$	−19.2324	+	3.39119i	−0.739162	+	0.130334i	−0.208625	+	0.977996i	$0.566899\pi$
$678$	23.6799	+	13.5082i	0.909420	+	0.518778i
$679$	−23.5006	−	26.8442i	−0.901869	−	1.03018i
$680$	−8.75608	−	28.1678i	−0.335780	−	1.08018i
$681$	−22.8970	+	20.0505i	−0.877416	+	0.768338i
$682$	8.28534	−	6.73076i	0.317262	−	0.257734i
$683$	−25.3892	−	14.6585i	−0.971491	−	0.560891i	−0.0718005	−	0.997419i	$-0.522874\pi$
$683$	−25.3892	−	14.6585i	−0.971491	−	0.560891i	−0.899690	+	0.436528i	$0.856208\pi$
$684$	−2.92336	+	17.6488i	−0.111778	+	0.674817i
$685$	17.3880	+	10.0390i	0.664361	+	0.383569i
$686$	−25.5518	+	5.75382i	−0.975572	+	0.219682i
$687$	19.1699	−	23.8495i	0.731379	−	0.909914i
$688$	4.61382	+	15.7195i	0.175900	+	0.599300i
$689$	−28.8012	−	5.07842i	−1.09724	−	0.193472i
$690$	20.6371	+	3.52851i	0.785639	+	0.134328i
$691$	−4.06013	+	3.40686i	−0.154455	+	0.129603i	−0.716740	−	0.697340i	$-0.754367\pi$
$691$	−4.06013	+	3.40686i	−0.154455	+	0.129603i	0.562285	+	0.826943i	$0.309922\pi$
$692$	30.4324	+	18.8845i	1.15686	+	0.717881i
$693$	24.6792	+	25.9008i	0.937484	+	0.983889i
$694$	1.42431	+	2.56010i	0.0540661	+	0.0971800i
$695$	−3.86003	+	10.6053i	−0.146419	+	0.402284i
$696$	−9.90353	+	1.47588i	−0.375392	+	0.0559431i
$697$	37.5837	+	31.5365i	1.42359	+	1.19453i
$698$	−37.4235	−	32.4294i	−1.41650	−	1.22747i
$699$	6.39843	−	11.6426i	0.242011	−	0.440363i
$700$	8.20566	−	13.8635i	0.310145	−	0.523989i
$701$	2.90479			0.109712			0.0548561	−	0.998494i	$-0.482530\pi$
$701$	2.90479			0.109712			0.0548561	+	0.998494i	$0.482530\pi$
$702$	−6.96257	+	13.4976i	−0.262785	+	0.509433i
$703$	−7.26692	−	12.5867i	−0.274077	−	0.474715i
$704$	−15.5031	+	32.5558i	−0.584295	+	1.22699i
$705$	0.516909	+	24.5123i	0.0194679	+	0.923187i
$706$	−7.10540	+	36.8610i	−0.267415	+	1.38728i
$707$	−15.6771	+	3.10424i	−0.589597	+	0.116747i
$708$	−2.39177	−	14.4682i	−0.0898884	−	0.543749i
$709$	−19.1021	−	6.95259i	−0.717394	−	0.261110i	−0.0425751	−	0.999093i	$-0.513556\pi$
$709$	−19.1021	−	6.95259i	−0.717394	−	0.261110i	−0.674819	+	0.737983i	$0.735778\pi$
$710$	−11.1664	−	6.68578i	−0.419068	−	0.250913i
$711$	0.914212	−	2.88478i	0.0342856	−	0.108188i
$712$	0.243249	+	0.471930i	0.00911613	+	0.0176863i
$713$	3.50084	−	9.61849i	0.131108	−	0.360215i
$714$	−9.63391	−	47.3617i	−0.360540	−	1.77247i
$715$	−8.37354	+	9.97920i	−0.313153	+	0.373201i
$716$	3.01441	+	9.17986i	0.112654	+	0.343067i
$717$	15.6448	+	40.3178i	0.584265	+	1.50570i
$718$	−6.10810	−	38.1795i	−0.227952	−	1.42485i
$719$	−23.6729	−	41.0027i	−0.882851	−	1.52914i	−0.848157	−	0.529744i	$-0.822288\pi$
$719$	−23.6729	−	41.0027i	−0.882851	−	1.52914i	−0.0346933	−	0.999398i	$-0.511045\pi$
$720$	0.359164	−	16.7769i	0.0133853	−	0.625240i
$721$	2.14610	+	1.72549i	0.0799250	+	0.0642606i
$722$	14.1187	−	2.25877i	0.525445	−	0.0840627i
$723$	1.16743	−	0.231327i	0.0434171	−	0.00860316i
$724$	−21.8075	+	24.3722i	−0.810471	+	0.905785i
$725$	−5.84727	+	2.12823i	−0.217162	+	0.0790406i
$726$	−19.8213	−	11.3070i	−0.735637	−	0.419644i
$727$	19.5544	−	16.4081i	0.725233	−	0.608543i	−0.203594	−	0.979055i	$-0.565262\pi$
$727$	19.5544	−	16.4081i	0.725233	−	0.608543i	0.928828	+	0.370512i	$0.120818\pi$
$728$	11.5779	+	10.2546i	0.429105	+	0.380062i
$729$	26.7842	−	3.40660i	0.992009	−	0.126170i
$730$	10.7977	+	6.46499i	0.399639	+	0.239280i
$731$	28.7022	+	10.4468i	1.06159	+	0.386387i
$732$	11.3046	−	6.36639i	0.417830	−	0.235309i
$733$	−12.4957	+	14.8918i	−0.461540	+	0.550042i	−0.945744	−	0.324913i	$-0.894665\pi$
$733$	−12.4957	+	14.8918i	−0.461540	+	0.550042i	0.484204	+	0.874955i	$0.339109\pi$
$734$	−7.63142	−	22.0515i	−0.281681	−	0.813935i
$735$	−10.0592	+	13.6482i	−0.371038	+	0.503423i
$736$	3.28202	+	34.4198i	0.120977	+	1.26873i
$737$	25.1738			0.927289
$738$	14.5857	+	23.7967i	0.536909	+	0.875967i
$739$		−	4.24290i		−	0.156078i	−0.996950	−	0.0780388i	$-0.975134\pi$
$739$		−	4.24290i		−	0.156078i	0.996950	−	0.0780388i	$-0.0248658\pi$
$740$	8.42696	+	10.7169i	0.309781	+	0.393963i
$741$	−10.5477	−	1.63136i	−0.387481	−	0.0599294i
$742$	52.0943	−	9.45746i	1.91244	−	0.347194i
$743$	−16.0409	+	19.1168i	−0.588483	+	0.701327i	−0.975314	−	0.220824i	$-0.929125\pi$
$743$	−16.0409	+	19.1168i	−0.588483	+	0.701327i	0.386830	+	0.922151i	$0.373570\pi$
$744$	−8.03867	−	1.63897i	−0.294712	−	0.0600875i
$745$	−26.8211	+	4.72928i	−0.982649	+	0.173268i
$746$	−0.377220	+	23.7322i	−0.0138110	+	0.868896i
$747$	−9.80531	−	44.5373i	−0.358757	−	1.62954i
$748$	31.7471	+	59.2609i	1.16079	+	2.16679i
$749$	32.0610	−	19.4171i	1.17148	−	0.709484i
$750$	−4.92573	−	27.1114i	−0.179862	−	0.989970i
$751$	−20.1505	−	3.55307i	−0.735301	−	0.129653i	−0.206557	−	0.978435i	$-0.566226\pi$
$751$	−20.1505	−	3.55307i	−0.735301	−	0.129653i	−0.528744	+	0.848781i	$0.677337\pi$
$752$	−38.8512	+	11.4032i	−1.41676	+	0.415832i
$753$	6.14193	−	11.1759i	0.223824	−	0.407271i
$754$	−0.943731	−	5.89892i	−0.0343686	−	0.214826i
$755$	−9.87475			−0.359379
$756$	3.34931	−	27.2907i	0.121813	−	0.992553i
$757$	−7.56015			−0.274778			−0.137389	−	0.990517i	$-0.543871\pi$
$757$	−7.56015			−0.274778			−0.137389	+	0.990517i	$0.543871\pi$
$758$	3.16113	+	19.7591i	0.114817	+	0.717682i
$759$	−47.7070	+	1.00603i	−1.73165	+	0.0365166i
$760$	11.2612	−	3.50061i	0.408488	−	0.126981i
$761$	−47.1950	−	8.32175i	−1.71082	−	0.301663i	−0.769365	−	0.638810i	$-0.779427\pi$
$761$	−47.1950	−	8.32175i	−1.71082	−	0.301663i	−0.941452	+	0.337146i	$0.890538\pi$
$762$	17.4192	+	6.23788i	0.631033	+	0.225974i
$763$	31.9845	−	0.670161i	1.15792	−	0.0242615i
$764$	−8.98854	+	4.81532i	−0.325194	+	0.174212i
$765$	−24.7934	−	19.0824i	−0.896409	−	0.689926i
$766$	−0.343754	+	21.6267i	−0.0124203	+	0.781405i
$767$	8.61632	−	1.51929i	0.311117	−	0.0548584i
$768$	26.8986	−	6.66819i	0.970620	−	0.240618i
$769$	−12.8432	+	15.3060i	−0.463139	+	0.551948i	−0.946176	−	0.323652i	$-0.895089\pi$
$769$	−12.8432	+	15.3060i	−0.463139	+	0.551948i	0.483037	+	0.875600i	$0.339534\pi$
$770$	7.95400	−	22.2021i	0.286642	−	0.800107i
$771$	−15.3134	+	19.0515i	−0.551497	+	0.686122i
$772$	−14.0773	+	11.0693i	−0.506654	+	0.398393i
$773$		−	8.92667i		−	0.321070i	−0.987030	−	0.160535i	$-0.948678\pi$
$773$		−	8.92667i		−	0.321070i	0.987030	−	0.160535i	$-0.0513220\pi$
$774$	13.5999	+	10.8158i	0.488840	+	0.388764i
$775$	−5.09842			−0.183141
$776$	−4.82529	−	37.8344i	−0.173218	−	1.35818i
$777$	11.9722	+	18.8591i	0.429500	+	0.676565i
$778$	−2.39791	−	6.92891i	−0.0859693	−	0.248414i
$779$	−12.6080	+	15.0257i	−0.451730	+	0.538351i
$780$	10.0112	+	0.107149i	0.358460	+	0.00383655i
$781$	27.8741	+	10.1454i	0.997415	+	0.363029i
$782$	55.3085	+	33.1154i	1.97783	+	1.18420i
$783$	−7.68782	+	7.32720i	−0.274740	+	0.261853i
$784$	−26.0977	−	10.1446i	−0.932059	−	0.362306i
$785$	1.81410	−	1.52221i	0.0647479	−	0.0543299i
$786$	−0.140862	−	27.1352i	−0.00502438	−	0.967879i
$787$	−33.0852	+	12.0420i	−1.17936	+	0.429252i	−0.855976	−	0.517016i	$-0.827043\pi$
$787$	−33.0852	+	12.0420i	−1.17936	+	0.429252i	−0.323384	+	0.946268i	$0.604821\pi$
$788$	29.5935	+	26.4794i	1.05422	+	0.943288i
$789$	8.74360	−	25.6960i	0.311280	−	0.914802i
$790$	−1.96984	+	0.315142i	−0.0700837	+	0.0112123i
$791$	4.50468	−	29.0995i	0.160168	−	1.03466i
$792$	6.43366	+	37.7010i	0.228610	+	1.33965i
$793$	3.87030	+	6.70356i	0.137438	+	0.238050i
$794$	−4.64870	−	29.0573i	−0.164976	−	1.03121i
$795$	21.4722	−	26.7137i	0.761540	−	0.947438i
$796$	11.8835	−	3.90221i	0.421199	−	0.138310i
$797$	−7.69568	+	9.17136i	−0.272595	+	0.324866i	−0.884923	−	0.465738i	$-0.845789\pi$
$797$	−7.69568	+	9.17136i	−0.272595	+	0.324866i	0.612328	+	0.790604i	$0.290233\pi$
$798$	18.9348	−	3.85156i	0.670286	−	0.136344i
$799$	−25.8195	+	70.9384i	−0.913427	+	2.50962i
$800$	15.5514	−	7.39992i	0.549824	−	0.261627i
$801$	0.499128	+	0.260759i	0.0176358	+	0.00921347i
$802$	−10.4340	−	6.24724i	−0.368437	−	0.220598i
$803$	−26.9536	−	9.81032i	−0.951173	−	0.346199i
$804$	−12.2769	−	14.9531i	−0.432971	−	0.527356i
$805$	−4.39255	−	22.1833i	−0.154817	−	0.781860i
$806$	0.926463	−	4.80625i	0.0326333	−	0.169293i
$807$	−38.2519	−	21.0222i	−1.34653	−	0.740015i
$808$	−15.7578	−	6.60194i	−0.554357	−	0.232255i
$809$	−22.2229	−	38.4913i	−0.781317	−	1.35328i	−0.931175	−	0.364573i	$-0.881215\pi$
$809$	−22.2229	−	38.4913i	−0.781317	−	1.35328i	0.149858	−	0.988708i	$-0.452118\pi$
$810$	−9.93271	−	14.7694i	−0.349000	−	0.518944i
$811$	−13.7763			−0.483750			−0.241875	−	0.970307i	$-0.577762\pi$
$811$	−13.7763			−0.483750			−0.241875	+	0.970307i	$0.577762\pi$
$812$	5.30576	+	9.42426i	0.186196	+	0.330727i
$813$	20.3720	−	0.429600i	0.714478	−	0.0150667i
$814$	−23.4824	−	20.3487i	−0.823057	−	0.713222i
$815$	2.55875	+	2.14705i	0.0896292	+	0.0752078i
$816$	19.7181	−	47.7582i	0.690273	−	1.67187i
$817$	−4.17653	+	11.4749i	−0.146118	+	0.401457i
$818$	−17.3425	−	31.1719i	−0.606365	−	1.08990i
$819$	16.3027	+	1.82391i	0.569663	+	0.0637325i
$820$	9.70140	−	15.6338i	0.338788	−	0.545956i
$821$	15.3304	−	12.8637i	0.535035	−	0.448947i	−0.334801	−	0.942289i	$-0.608669\pi$
$821$	15.3304	−	12.8637i	0.535035	−	0.448947i	0.869836	+	0.493341i	$0.164225\pi$
$822$	12.2000	+	32.9854i	0.425524	+	1.15050i
$823$	43.1896	+	7.61549i	1.50549	+	0.265459i	0.864714	−	0.502265i	$-0.167500\pi$
$823$	43.1896	+	7.61549i	1.50549	+	0.265459i	0.640781	+	0.767724i	$0.278611\pi$
$824$	0.873868	+	2.81118i	0.0304426	+	0.0979320i
$825$	8.59823	+	22.1583i	0.299352	+	0.771453i
$826$	−13.6773	+	7.98904i	−0.475892	+	0.277974i
$827$	−25.1541	−	14.5228i	−0.874695	−	0.505006i	−0.00578955	−	0.999983i	$-0.501843\pi$
$827$	−25.1541	−	14.5228i	−0.874695	−	0.505006i	−0.868906	+	0.494978i	$0.835176\pi$
$828$	23.8635	+	27.8471i	0.829314	+	0.967753i
$829$	−5.18021	−	2.99080i	−0.179916	−	0.103875i	0.407337	−	0.913278i	$-0.366457\pi$
$829$	−5.18021	−	2.99080i	−0.179916	−	0.103875i	−0.587253	+	0.809403i	$0.699791\pi$
$830$	−23.3335	+	18.9555i	−0.809918	+	0.657953i
$831$	14.7887	+	5.03218i	0.513016	+	0.174564i
$832$	4.14993	+	16.0048i	0.143873	+	0.554868i
$833$	−44.0771	+	27.9728i	−1.52718	+	0.969202i
$834$	−17.0689	+	9.97321i	−0.591047	+	0.345344i
$835$	13.7738	−	2.42870i	0.476663	−	0.0840486i
$836$	−23.6920	+	12.6922i	−0.819406	+	0.438970i
$837$	−7.97245	+	3.48709i	−0.275568	+	0.120531i
$838$	−37.5294	−	22.4704i	−1.29643	−	0.776226i
$839$	3.50248	−	2.93893i	0.120919	−	0.101463i	−0.580323	−	0.814386i	$-0.697074\pi$
$839$	3.50248	−	2.93893i	0.120919	−	0.101463i	0.701242	+	0.712923i	$0.252629\pi$
$840$	−17.0670	+	6.10296i	−0.588866	+	0.210572i
$841$	−4.31040	+	24.4455i	−0.148634	+	0.842947i
$842$	6.64779	+	1.28144i	0.229098	+	0.0441614i
$843$	−6.51890	−	32.8986i	−0.224523	−	1.13309i
$844$	−31.0353	−	39.4690i	−1.06828	−	1.35858i
$845$		−	12.2059i		−	0.419896i
$846$	−26.7315	+	33.6126i	−0.919046	+	1.15563i
$847$	−3.77065	+	24.3578i	−0.129561	+	0.836945i
$848$	51.8506	+	22.6988i	1.78056	+	0.779481i
$849$	−48.6189	+	18.8659i	−1.66860	+	0.647476i
$850$	6.07763	−	31.5292i	0.208461	−	1.08144i
$851$	−29.3420	−	5.17378i	−1.00583	−	0.177355i
$852$	−7.56748	−	21.5048i	−0.259257	−	0.736744i
$853$	2.06828	−	5.68255i	0.0708165	−	0.194567i	−0.899235	−	0.437466i	$-0.855876\pi$
$853$	2.06828	−	5.68255i	0.0708165	−	0.194567i	0.970052	+	0.242899i	$0.0780983\pi$
$854$	−10.7804	−	8.95334i	−0.368898	−	0.306377i
$855$	7.62900	−	9.91222i	0.260906	−	0.338991i
$856$	40.0248	+	1.90985i	1.36802	+	0.0652775i
$857$	12.3306	+	14.6950i	0.421204	+	0.501972i	0.934363	−	0.356322i	$-0.115969\pi$
$857$	12.3306	+	14.6950i	0.421204	+	0.501972i	−0.513159	+	0.858294i	$0.671525\pi$
$858$	−22.4509	+	4.07898i	−0.766462	+	0.139254i
$859$	5.27162	−	29.8968i	0.179865	−	1.02007i	−0.752512	−	0.658579i	$-0.771158\pi$
$859$	5.27162	−	29.8968i	0.179865	−	1.02007i	0.932377	−	0.361488i	$-0.117731\pi$
$860$	2.34661	−	11.2118i	0.0800186	−	0.382318i
$861$	18.3908	−	23.8881i	0.626756	−	0.814105i
$862$	−44.6547	+	36.2761i	−1.52094	+	1.23557i
$863$	−5.63036	−	3.25069i	−0.191660	−	0.110655i	0.401100	−	0.916034i	$-0.368628\pi$
$863$	−5.63036	−	3.25069i	−0.191660	−	0.110655i	−0.592759	+	0.805380i	$0.701961\pi$
$864$	19.2566	−	22.2077i	0.655123	−	0.755522i
$865$	−12.5211	−	21.6872i	−0.425730	−	0.737387i
$866$	3.64330	+	22.7729i	0.123804	+	0.773855i
$867$	−34.6577	−	57.2086i	−1.17704	−	1.94290i
$868$	1.44410	+	8.74293i	0.0490159	+	0.296754i
$869$	4.27246	−	1.55505i	0.144933	−	0.0527514i
$870$	6.59114	+	2.36030i	0.223461	+	0.0800218i
$871$	8.84248	−	7.41972i	0.299616	−	0.251408i
$872$	28.7697	+	18.4925i	0.974266	+	0.626234i
$873$	−27.2870	−	29.8662i	−0.923524	−	1.01082i
$874$	−13.2393	+	22.1119i	−0.447825	+	0.747946i
$875$	−25.4582	+	15.4182i	−0.860644	+	0.521231i
$876$	7.31757	+	20.7947i	0.247238	+	0.702587i
$877$	−11.4878	+	4.18123i	−0.387917	+	0.141190i	−0.528614	−	0.848863i	$-0.677288\pi$
$877$	−11.4878	+	4.18123i	−0.387917	+	0.141190i	0.140697	+	0.990053i	$0.455066\pi$
$878$	9.71720	+	1.87311i	0.327940	+	0.0632143i
$879$	8.41717	+	21.6917i	0.283904	+	0.731643i
$880$	20.3042	−	14.9463i	0.684456	−	0.503840i
$881$	9.01177	+	5.20295i	0.303614	+	0.175292i	0.644065	−	0.764970i	$-0.277246\pi$
$881$	9.01177	+	5.20295i	0.303614	+	0.175292i	−0.340451	+	0.940262i	$0.610580\pi$
$882$	−28.8280	+	7.13749i	−0.970691	+	0.240332i
$883$	7.07432	−	4.08436i	0.238070	−	0.137450i	−0.376219	−	0.926531i	$-0.622776\pi$
$883$	7.07432	−	4.08436i	0.238070	−	0.137450i	0.614289	+	0.789081i	$0.289443\pi$
$884$	28.6179	+	11.4587i	0.962525	+	0.385397i
$885$	−3.30298	+	9.70691i	−0.111028	+	0.326294i
$886$	22.0253	+	19.0861i	0.739954	+	0.641209i
$887$	9.77722	+	8.20406i	0.328287	+	0.275465i	0.792001	−	0.610519i	$-0.209039\pi$
$887$	9.77722	+	8.20406i	0.328287	+	0.275465i	−0.463714	+	0.885985i	$0.653484\pi$
$888$	−0.635054	+	23.8722i	−0.0213110	+	0.801097i
$889$	−0.418646	−	19.9806i	−0.0140409	−	0.670127i
$890$	0.00589986	−	0.371180i	0.000197764	−	0.0124420i
$891$	28.6004	+	28.7684i	0.958149	+	0.963776i
$892$	−10.8563	−	20.2649i	−0.363495	−	0.678520i
$893$	−28.3606	−	10.3224i	−0.949051	−	0.345426i
$894$	−41.4376	−	23.6380i	−1.38588	−	0.790574i
$895$	1.17312	−	6.65311i	0.0392132	−	0.222389i
$896$	−17.0944	−	24.5719i	−0.571085	−	0.820891i
$897$	−16.4609	+	14.4145i	−0.549614	+	0.481287i
$898$	−3.22503	+	8.44082i	−0.107621	+	0.281674i
$899$	1.71138	−	2.96420i	0.0570778	−	0.0988616i
$900$	8.96871	−	15.9136i	0.298957	−	0.530452i
$901$	91.3913	−	52.7648i	3.04469	−	1.75785i
$902$	−14.9670	+	39.1729i	−0.498346	+	1.30431i
$903$	5.67246	−	17.8909i	0.188767	−	0.595373i
$904$	21.3608	−	23.1227i	0.710451	−	0.769049i
$905$	21.4878	−	7.82092i	0.714279	−	0.259976i
$906$	−13.3078	−	11.0494i	−0.442122	−	0.367090i
$907$	27.1708	−	4.79095i	0.902192	−	0.159081i	0.296736	−	0.954960i	$-0.404102\pi$
$907$	27.1708	−	4.79095i	0.902192	−	0.159081i	0.605456	+	0.795879i	$0.292991\pi$
$908$	16.5956	+	30.9782i	0.550744	+	1.02805i
$909$	−17.6974	+	3.89626i	−0.586987	+	0.129231i
$910$	−3.74993	−	10.1430i	−0.124309	−	0.336237i
$911$	0.410832	−	0.0724408i	0.0136115	−	0.00240007i	−0.166838	−	0.985984i	$-0.553356\pi$
$911$	0.410832	−	0.0724408i	0.0136115	−	0.00240007i	0.180450	+	0.983584i	$0.442245\pi$
$912$	19.0933	+	7.88315i	0.632244	+	0.261037i
$913$	44.0421	−	52.4874i	1.45758	−	1.73708i
$914$	14.2492	+	41.1740i	0.471322	+	1.36191i
$915$	−9.06941	+	0.191253i	−0.299825	+	0.00632264i
$916$	−21.8395	−	27.7743i	−0.721599	−	0.917689i
$917$	−27.3261	+	10.5993i	−0.902387	+	0.350019i
$918$	−12.0608	−	53.4593i	−0.398067	−	1.76442i
$919$	9.33883	+	5.39178i	0.308060	+	0.177858i	0.646058	−	0.763288i	$-0.276416\pi$
$919$	9.33883	+	5.39178i	0.308060	+	0.177858i	−0.337998	+	0.941147i	$0.609750\pi$
$920$	9.34186	−	22.2976i	0.307992	−	0.735129i
$921$	−32.3074	+	0.681290i	−1.06456	+	0.0224493i
$922$	−6.91438	−	5.99167i	−0.227713	−	0.197325i
$923$	12.7812	−	4.65199i	0.420699	−	0.153122i
$924$	35.5623	−	21.0207i	1.16991	−	0.691530i
$925$	2.57705	+	14.6152i	0.0847329	+	0.480544i
$926$	58.8471	+	0.935367i	1.93384	+	0.0307381i
$927$	2.47442	+	1.90445i	0.0812705	+	0.0625503i
$928$	−0.917830	+	11.5254i	−0.0301293	+	0.378340i
$929$	−10.2965	−	12.2709i	−0.337818	−	0.402595i	0.570215	−	0.821496i	$-0.306860\pi$
$929$	−10.2965	−	12.2709i	−0.337818	−	0.402595i	−0.908032	+	0.418900i	$0.862416\pi$
$930$	4.41332	+	3.66434i	0.144718	+	0.120158i
$931$	−11.1833	−	17.6217i	−0.366519	−	0.577526i
$932$	−11.4319	−	10.2289i	−0.374464	−	0.335060i
$933$	16.6857	−	6.47468i	0.546267	−	0.211971i
$934$	−33.1044	+	5.29616i	−1.08321	+	0.173296i
$935$		−	47.0064i		−	1.53727i
$936$	13.3718	+	11.3465i	0.437073	+	0.370871i
$937$	25.9661	−	14.9915i	0.848275	−	0.489752i	−0.0117933	−	0.999930i	$-0.503754\pi$
$937$	25.9661	−	14.9915i	0.848275	−	0.489752i	0.860069	+	0.510179i	$0.170421\pi$
$938$	−10.3571	+	18.1503i	−0.338171	+	0.592629i
$939$	−1.90839	+	5.60845i	−0.0622780	+	0.183025i
$940$	27.7102	+	5.79970i	0.903808	+	0.189165i
$941$	−13.8128	−	37.9503i	−0.450284	−	1.23715i	−0.932525	−	0.361106i	$-0.882399\pi$
$941$	−13.8128	−	37.9503i	−0.450284	−	1.23715i	0.482241	−	0.876039i	$-0.339823\pi$
$942$	4.14806	−	0.0215331i	0.135151	−	0.000701586i
$943$	6.98245	+	39.5994i	0.227380	+	1.28954i
$944$	−16.8990	−	1.07579i	−0.550016	−	0.0350140i
$945$	−11.0751	+	15.7142i	−0.360272	+	0.511183i
$946$	−0.414916	+	26.1038i	−0.0134901	+	0.848706i
$947$	−12.5454	+	2.21210i	−0.407672	+	0.0718835i	−0.373724	−	0.927540i	$-0.621919\pi$
$947$	−12.5454	+	2.21210i	−0.407672	+	0.0718835i	−0.0339481	+	0.999424i	$0.510808\pi$
$948$	−3.00730	−	1.77945i	−0.0976726	−	0.0577938i
$949$	−12.3592	+	4.49836i	−0.401195	+	0.146023i
$950$	12.6051	+	2.42979i	0.408964	+	0.0788327i
$951$	−4.49215	−	22.6703i	−0.145668	−	0.735134i
$952$	−55.7886	−	1.49164i	−1.80812	−	0.0483443i
$953$	10.2014	+	17.6694i	0.330456	+	0.572367i	0.982601	−	0.185727i	$-0.0594641\pi$
$953$	10.2014	+	17.6694i	0.330456	+	0.572367i	−0.652145	+	0.758094i	$0.726131\pi$
$954$	58.8286	−	11.9747i	1.90464	−	0.387694i
$955$	7.12981			0.230715
$956$	49.4292	−	7.10413i	1.59865	−	0.229764i
$957$	−15.7689	−	2.43888i	−0.509736	−	0.0788379i
$958$	−0.665869	+	0.768412i	−0.0215132	+	0.0248263i
$959$	28.5820	−	25.0219i	0.922960	−	0.808000i
$960$	−18.7801	−	4.77154i	−0.606125	−	0.154001i
$961$	−21.5991	+	18.1238i	−0.696744	+	0.584637i
$962$	−14.2459	−	0.226437i	−0.459307	−	0.00730063i
$963$	35.8784	−	22.7833i	1.15616	−	0.734181i
$964$	0.0436757	−	1.37354i	0.00140670	−	0.0442389i
$965$	12.3311	−	2.17431i	0.396953	−	0.0699935i
$966$	18.9024	−	34.8106i	0.608175	−	1.12001i
$967$	17.8216	+	48.9645i	0.573104	+	1.57459i	0.799571	+	0.600572i	$0.205060\pi$
$967$	17.8216	+	48.9645i	0.573104	+	1.57459i	−0.226466	+	0.974019i	$0.572717\pi$
$968$	−17.8801	+	19.3549i	−0.574689	+	0.622089i
$969$	32.9399	−	19.9554i	1.05818	−	0.641061i
$970$	−9.51814	+	24.9117i	−0.305609	+	0.799866i
$971$	−12.6030	+	21.8291i	−0.404450	+	0.700528i	−0.994257	−	0.107016i	$-0.965870\pi$
$971$	−12.6030	+	21.8291i	−0.404450	+	0.700528i	0.589807	+	0.807544i	$0.299204\pi$
$972$	3.14032	−	31.0184i	0.100726	−	0.994914i
$973$	16.6412	+	13.3797i	0.533493	+	0.428934i
$974$	−13.3135	+	10.8155i	−0.426591	+	0.346550i
$975$	9.55113	+	5.24903i	0.305881	+	0.168103i
$976$	−4.21912	−	14.3747i	−0.135051	−	0.460124i
$977$	−32.1231	−	26.9545i	−1.02771	−	0.862352i	−0.0371338	−	0.999310i	$-0.511823\pi$
$977$	−32.1231	−	26.9545i	−1.02771	−	0.862352i	−0.990577	+	0.136959i	$0.956267\pi$
$978$	1.04589	+	5.75661i	0.0334437	+	0.184076i
$979$	0.146921	+	0.833229i	0.00469561	+	0.0266301i
$980$	12.7352	+	14.8693i	0.406812	+	0.474982i
$981$	36.2428	−	1.52924i	1.15714	−	0.0488247i
$982$	−25.9216	−	46.5922i	−0.827191	−	1.48682i
$983$	−5.39962	−	30.6227i	−0.172221	−	0.976714i	−0.941303	−	0.337563i	$-0.890397\pi$
$983$	−5.39962	−	30.6227i	−0.172221	−	0.976714i	0.769082	−	0.639150i	$-0.220714\pi$
$984$	30.5677	−	10.2137i	0.974461	−	0.325599i
$985$	−9.49640	−	26.0911i	−0.302580	−	0.831333i
$986$	16.2908	+	14.1169i	0.518806	+	0.449572i
$987$	44.2179	+	14.0196i	1.40747	+	0.446250i
$988$	−4.58109	+	11.4412i	−0.145744	+	0.363994i
$989$	12.5167	+	21.6796i	0.398009	+	0.689372i
$990$	8.48280	−	25.3605i	0.269601	−	0.806009i
$991$	38.4837	+	22.2185i	1.22247	+	0.705795i	0.965445	−	0.260608i	$-0.0839231\pi$
$991$	38.4837	+	22.2185i	1.22247	+	0.705795i	0.257029	+	0.966404i	$0.417256\pi$
$992$	−3.93648	+	8.61662i	−0.124983	+	0.273578i
$993$	−8.68575	+	1.72109i	−0.275634	+	0.0546173i
$994$	−18.7829	+	15.9232i	−0.595757	+	0.505054i
$995$	−8.61257	−	1.51863i	−0.273037	−	0.0481438i
$996$	−52.6559	−	0.563569i	−1.66847	−	0.0178574i
$997$	−7.38923	+	20.3018i	−0.234019	+	0.642963i	0.765981	+	0.642864i	$0.222254\pi$
$997$	−7.38923	+	20.3018i	−0.234019	+	0.642963i	−1.00000		9.93028e-5i	$0.999968\pi$
$998$	−15.2796	−	27.4640i	−0.483668	−	0.869359i
$999$	14.0259	+	21.0913i	0.443759	+	0.667300i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	756.2.bt.a.103.8	✓	840
4.3	odd	2	inner	756.2.bt.a.103.133	yes	840
7.3	odd	6		756.2.cd.a.535.87	yes	840
27.16	even	9		756.2.cd.a.691.56	yes	840
28.3	even	6		756.2.cd.a.535.56	yes	840
108.43	odd	18		756.2.cd.a.691.87	yes	840
189.178	odd	18	inner	756.2.bt.a.367.133	yes	840
756.367	even	18	inner	756.2.bt.a.367.8	yes	840

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
756.2.bt.a.103.8	✓	840	1.1	even	1	trivial
756.2.bt.a.103.133	yes	840	4.3	odd	2	inner
756.2.bt.a.367.8	yes	840	756.367	even	18	inner
756.2.bt.a.367.133	yes	840	189.178	odd	18	inner
756.2.cd.a.535.56	yes	840	28.3	even	6
756.2.cd.a.535.87	yes	840	7.3	odd	6
756.2.cd.a.691.56	yes	840	27.16	even	9
756.2.cd.a.691.87	yes	840	108.43	odd	18

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:	\( N \)	\(=\)	\( 756 = 2^{2} \cdot 3^{3} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	756.bt (of order \(18\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.39646 + 0.223410i) q^{2} +(0.897457 + 1.48141i) q^{3} +(1.90018 - 0.623965i) q^{4} +(-1.37715 - 0.242829i) q^{5} +(-1.58422 - 1.86822i) q^{6} +(-1.27459 + 2.31850i) q^{7} +(-2.51411 + 1.29586i) q^{8} +(-1.38914 + 2.65900i) q^{9} +O(q^{10})\)	\(q+(-1.39646 + 0.223410i) q^{2} +(0.897457 + 1.48141i) q^{3} +(1.90018 - 0.623965i) q^{4} +(-1.37715 - 0.242829i) q^{5} +(-1.58422 - 1.86822i) q^{6} +(-1.27459 + 2.31850i) q^{7} +(-2.51411 + 1.29586i) q^{8} +(-1.38914 + 2.65900i) q^{9} +(1.97738 + 0.0314303i) q^{10} +(-4.43886 + 0.782690i) q^{11} +(2.62967 + 2.25495i) q^{12} +(-1.32849 + 1.58323i) q^{13} +(1.26193 - 3.52243i) q^{14} +(-0.876208 - 2.25806i) q^{15} +(3.22134 - 2.37129i) q^{16} -7.45773i q^{17} +(1.34582 - 4.02353i) q^{18} +2.98154 q^{19} +(-2.76835 + 0.397877i) q^{20} +(-4.57853 + 0.192568i) q^{21} +(6.02380 - 2.08468i) q^{22} +(3.92885 - 4.68222i) q^{23} +(-4.17600 - 2.56145i) q^{24} +(-2.86088 - 1.04127i) q^{25} +(1.50147 - 2.50771i) q^{26} +(-5.18576 + 0.328457i) q^{27} +(-0.975280 + 5.20085i) q^{28} +(1.56570 - 1.31378i) q^{29} +(1.72806 + 2.95752i) q^{30} +(1.57365 - 0.572762i) q^{31} +(-3.96868 + 4.03107i) q^{32} +(-5.14317 - 5.87333i) q^{33} +(1.66613 + 10.4144i) q^{34} +(2.31830 - 2.88342i) q^{35} +(-0.980488 + 5.91934i) q^{36} +(-2.43730 - 4.22153i) q^{37} +(-4.16359 + 0.666106i) q^{38} +(-3.53768 - 0.547152i) q^{39} +(3.77699 - 1.17410i) q^{40} +(-4.22870 + 5.03957i) q^{41} +(6.35069 - 1.29180i) q^{42} +(-1.40080 + 3.84866i) q^{43} +(-7.94624 + 4.25694i) q^{44} +(2.55874 - 3.32453i) q^{45} +(-4.44041 + 7.41626i) q^{46} +(-9.51207 - 3.46211i) q^{47} +(6.40385 + 2.64399i) q^{48} +(-3.75085 - 5.91025i) q^{49} +(4.22772 + 0.814944i) q^{50} +(11.0479 - 6.69299i) q^{51} +(-1.53648 + 3.83735i) q^{52} +(7.07518 + 12.2546i) q^{53} +(7.16830 - 1.61723i) q^{54} +6.30305 q^{55} +(0.200013 - 7.48064i) q^{56} +(2.67581 + 4.41688i) q^{57} +(-1.89292 + 2.18442i) q^{58} +(-3.24290 - 2.72111i) q^{59} +(-3.07390 - 3.74398i) q^{60} +(1.28096 - 3.51941i) q^{61} +(-2.06957 + 1.15141i) q^{62} +(-4.39431 - 6.60985i) q^{63} +(4.64151 - 6.51586i) q^{64} +(2.21399 - 1.85776i) q^{65} +(8.49437 + 7.05280i) q^{66} +(-5.50023 - 0.969838i) q^{67} +(-4.65336 - 14.1710i) q^{68} +(10.4623 + 1.61814i) q^{69} +(-2.59322 + 4.54450i) q^{70} +(-5.69937 - 3.29053i) q^{71} +(0.0467655 - 8.48515i) q^{72} +(5.51115 + 3.18187i) q^{73} +(4.34672 + 5.35067i) q^{74} +(-1.02496 - 5.17262i) q^{75} +(5.66545 - 1.86038i) q^{76} +(3.84305 - 11.2891i) q^{77} +(5.06245 - 0.0262798i) q^{78} +(-0.993400 + 0.175163i) q^{79} +(-5.01209 + 2.48339i) q^{80} +(-5.14058 - 7.38745i) q^{81} +(4.77930 - 7.98227i) q^{82} +(-11.6449 + 9.77122i) q^{83} +(-8.57985 + 3.22275i) q^{84} +(-1.81096 + 10.2704i) q^{85} +(1.09632 - 5.68743i) q^{86} +(3.35139 + 1.14038i) q^{87} +(10.1455 - 7.71989i) q^{88} -0.187713i q^{89} +(-2.83044 + 5.21421i) q^{90} +(-1.97744 - 5.09807i) q^{91} +(4.54397 - 11.3485i) q^{92} +(2.26078 + 1.81719i) q^{93} +(14.0566 + 2.70959i) q^{94} +(-4.10604 - 0.724006i) q^{95} +(-9.53339 - 2.26152i) q^{96} +(-4.61209 + 12.6716i) q^{97} +(6.55831 + 7.41543i) q^{98} +(4.08502 - 12.8902i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 840 q - 3 q^{2} - 3 q^{4} - 18 q^{5} - 6 q^{8} - 6 q^{9}+O(q^{10}) \) 840 * q - 3 * q^2 - 3 * q^4 - 18 * q^5 - 6 * q^8 - 6 * q^9	\( 840 q - 3 q^{2} - 3 q^{4} - 18 q^{5} - 6 q^{8} - 6 q^{9} - 9 q^{12} - 21 q^{14} - 3 q^{16} - 3 q^{18} - 12 q^{21} - 12 q^{22} - 9 q^{24} - 6 q^{25} - 18 q^{26} - 12 q^{28} - 36 q^{29} - 39 q^{30} + 27 q^{32} - 18 q^{33} + 18 q^{34} + 18 q^{36} + 6 q^{37} - 99 q^{38} + 36 q^{40} + 9 q^{42} + 3 q^{44} - 18 q^{45} + 3 q^{46} - 12 q^{49} + 3 q^{50} - 9 q^{52} - 12 q^{53} - 135 q^{54} + 15 q^{56} - 42 q^{57} - 3 q^{58} - 33 q^{60} - 18 q^{61} - 99 q^{62} - 6 q^{64} + 18 q^{65} - 9 q^{66} - 54 q^{68} + 72 q^{69} - 36 q^{70} - 111 q^{72} - 18 q^{73} + 93 q^{74} - 36 q^{76} - 36 q^{77} + 6 q^{78} - 18 q^{80} - 30 q^{81} - 18 q^{82} + 84 q^{84} + 6 q^{85} + 135 q^{86} - 51 q^{88} + 81 q^{90} + 48 q^{92} - 6 q^{93} - 9 q^{94} - 9 q^{96} - 117 q^{98}+O(q^{100}) \) 840 * q - 3 * q^2 - 3 * q^4 - 18 * q^5 - 6 * q^8 - 6 * q^9 - 9 * q^12 - 21 * q^14 - 3 * q^16 - 3 * q^18 - 12 * q^21 - 12 * q^22 - 9 * q^24 - 6 * q^25 - 18 * q^26 - 12 * q^28 - 36 * q^29 - 39 * q^30 + 27 * q^32 - 18 * q^33 + 18 * q^34 + 18 * q^36 + 6 * q^37 - 99 * q^38 + 36 * q^40 + 9 * q^42 + 3 * q^44 - 18 * q^45 + 3 * q^46 - 12 * q^49 + 3 * q^50 - 9 * q^52 - 12 * q^53 - 135 * q^54 + 15 * q^56 - 42 * q^57 - 3 * q^58 - 33 * q^60 - 18 * q^61 - 99 * q^62 - 6 * q^64 + 18 * q^65 - 9 * q^66 - 54 * q^68 + 72 * q^69 - 36 * q^70 - 111 * q^72 - 18 * q^73 + 93 * q^74 - 36 * q^76 - 36 * q^77 + 6 * q^78 - 18 * q^80 - 30 * q^81 - 18 * q^82 + 84 * q^84 + 6 * q^85 + 135 * q^86 - 51 * q^88 + 81 * q^90 + 48 * q^92 - 6 * q^93 - 9 * q^94 - 9 * q^96 - 117 * q^98

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