LMFDB - Embedded newform 147.4.o.a.101.51

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [147,4,Mod(5,147)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(147, base_ring=CyclotomicField(42))

chi = DirichletCharacter(H, H._module([21, 29]))

N = Newforms(chi, 4, names="a")

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

chi := DirichletCharacter("147.5");

S:= CuspForms(chi, 4);

N := Newforms(S);

Level:	$ N $	$=$	$ 147 = 3 \cdot 7^{2} $
Weight:	$ k $	$=$	$ 4 $
Character orbit:	$[\chi]$	$=$	147.o (of order $42$, degree $12$, 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:	$8.67328077084$
Analytic rank:	$0$
Dimension:	$648$
Relative dimension:	$54$ over $\Q(\zeta_{42})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label			101.51
Character	$\chi$	$=$	147.101
Dual form			147.4.o.a.131.51

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(4.68244 + 1.83772i) q^{2} +(2.53703 + 4.53470i) q^{3} +(12.6836 + 11.7687i) q^{4} +(-5.25809 - 3.58491i) q^{5} +(3.54598 + 25.8958i) q^{6} +(-15.9159 + 9.47016i) q^{7} +(20.3027 + 42.1591i) q^{8} +(-14.1270 + 23.0093i) q^{9} +O(q^{10})$	\(q+(4.68244 + 1.83772i) q^{2} +(2.53703 + 4.53470i) q^{3} +(12.6836 + 11.7687i) q^{4} +(-5.25809 - 3.58491i) q^{5} +(3.54598 + 25.8958i) q^{6} +(-15.9159 + 9.47016i) q^{7} +(20.3027 + 42.1591i) q^{8} +(-14.1270 + 23.0093i) q^{9} +(-18.0327 - 26.4491i) q^{10} +(-1.90974 - 12.6703i) q^{11} +(-21.1887 + 87.3739i) q^{12} +(52.6182 - 41.9616i) q^{13} +(-91.9289 + 15.0944i) q^{14} +(2.91653 - 32.9389i) q^{15} +(7.24557 + 96.6854i) q^{16} +(94.3605 + 29.1063i) q^{17} +(-108.433 + 81.7784i) q^{18} +(126.477 - 73.0215i) q^{19} +(-24.5021 - 107.351i) q^{20} +(-83.3234 - 48.1477i) q^{21} +(14.3423 - 62.8377i) q^{22} +(34.7498 + 112.656i) q^{23} +(-139.670 + 199.026i) q^{24} +(-30.8716 - 78.6596i) q^{25} +(323.496 - 99.7852i) q^{26} +(-140.181 - 5.68610i) q^{27} +(-313.323 - 67.1934i) q^{28} +(-119.979 + 27.3843i) q^{29} +(74.1890 - 148.875i) q^{30} +(-142.750 - 82.4166i) q^{31} +(-33.4141 + 108.326i) q^{32} +(52.6110 - 40.8051i) q^{33} +(388.348 + 309.697i) q^{34} +(117.637 + 7.26208i) q^{35} +(-449.971 + 125.586i) q^{36} +(-125.021 + 116.003i) q^{37} +(726.415 - 109.489i) q^{38} +(323.777 + 132.150i) q^{39} +(44.3827 - 294.460i) q^{40} +(-251.249 + 120.995i) q^{41} +(-301.675 - 378.574i) q^{42} +(-156.770 - 75.4965i) q^{43} +(124.891 - 183.181i) q^{44} +(156.767 - 70.3414i) q^{45} +(-44.3168 + 591.367i) q^{46} +(70.9828 - 180.861i) q^{47} +(-420.057 + 278.150i) q^{48} +(163.632 - 301.452i) q^{49} -425.053i q^{50} +(107.407 + 501.740i) q^{51} +(1161.22 + 87.0217i) q^{52} +(192.262 - 207.209i) q^{53} +(-645.939 - 284.238i) q^{54} +(-35.3804 + 73.4681i) q^{55} +(-722.390 - 478.730i) q^{56} +(652.006 + 388.277i) q^{57} +(-612.118 - 92.2619i) q^{58} +(-361.919 + 246.752i) q^{59} +(424.640 - 383.461i) q^{60} +(-183.892 - 198.188i) q^{61} +(-516.959 - 648.246i) q^{62} +(6.94135 - 499.999i) q^{63} +(128.079 - 160.606i) q^{64} +(-427.100 + 32.0067i) q^{65} +(321.337 - 94.3831i) q^{66} +(-272.311 + 471.656i) q^{67} +(854.289 + 1479.67i) q^{68} +(-422.700 + 443.392i) q^{69} +(537.483 + 250.189i) q^{70} +(-60.6621 - 13.8457i) q^{71} +(-1256.87 - 128.427i) q^{72} +(731.305 - 287.016i) q^{73} +(-798.585 + 313.421i) q^{74} +(278.375 - 339.555i) q^{75} +(2463.55 + 562.290i) q^{76} +(150.385 + 183.574i) q^{77} +(1273.21 + 1213.80i) q^{78} +(62.0223 + 107.426i) q^{79} +(308.510 - 534.355i) q^{80} +(-329.858 - 650.103i) q^{81} +(-1398.81 + 104.827i) q^{82} +(-424.801 + 532.684i) q^{83} +(-490.208 - 1591.30i) q^{84} +(-391.813 - 491.318i) q^{85} +(-595.326 - 641.609i) q^{86} +(-428.569 - 474.592i) q^{87} +(495.396 - 337.755i) q^{88} +(303.313 + 45.7170i) q^{89} +(863.321 - 41.2748i) q^{90} +(-440.084 + 1166.16i) q^{91} +(-885.062 + 1837.85i) q^{92} +(11.5739 - 856.420i) q^{93} +(664.745 - 716.425i) q^{94} +(-926.803 - 69.4543i) q^{95} +(-575.997 + 123.303i) q^{96} -1262.73i q^{97} +(1320.18 - 1110.82i) q^{98} +(318.515 + 135.051i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 648 q - 11 q^{3} - 234 q^{4} + 14 q^{6} + 28 q^{7} - 125 q^{9}+O(q^{10}) $ 648 * q - 11 * q^3 - 234 * q^4 + 14 * q^6 + 28 * q^7 - 125 * q^9	$ 648 q - 11 q^{3} - 234 q^{4} + 14 q^{6} + 28 q^{7} - 125 q^{9} - 58 q^{10} - 207 q^{12} - 28 q^{13} - 148 q^{15} + 726 q^{16} - 81 q^{18} - 342 q^{19} - 371 q^{21} - 156 q^{22} - 428 q^{24} + 1250 q^{25} - 56 q^{27} + 700 q^{28} + 389 q^{30} + 888 q^{31} + 841 q^{33} - 532 q^{34} - 38 q^{36} + 1178 q^{37} - 180 q^{39} + 194 q^{40} + 56 q^{42} + 1296 q^{43} - 617 q^{45} - 6756 q^{46} - 2380 q^{49} + 787 q^{51} - 5204 q^{52} + 4144 q^{54} - 5698 q^{55} + 863 q^{57} - 3066 q^{58} + 2820 q^{60} + 1492 q^{61} - 1085 q^{63} + 7648 q^{64} + 2568 q^{66} + 142 q^{67} - 5474 q^{69} + 5180 q^{70} + 1278 q^{72} + 2876 q^{73} - 1754 q^{75} + 7644 q^{76} + 936 q^{78} - 992 q^{79} + 911 q^{81} + 1022 q^{82} + 7868 q^{84} + 2672 q^{85} - 196 q^{87} + 370 q^{88} - 18767 q^{90} - 2254 q^{91} - 11096 q^{93} - 3628 q^{94} - 24248 q^{96} + 10982 q^{99}+O(q^{100}) $ 648 * q - 11 * q^3 - 234 * q^4 + 14 * q^6 + 28 * q^7 - 125 * q^9 - 58 * q^10 - 207 * q^12 - 28 * q^13 - 148 * q^15 + 726 * q^16 - 81 * q^18 - 342 * q^19 - 371 * q^21 - 156 * q^22 - 428 * q^24 + 1250 * q^25 - 56 * q^27 + 700 * q^28 + 389 * q^30 + 888 * q^31 + 841 * q^33 - 532 * q^34 - 38 * q^36 + 1178 * q^37 - 180 * q^39 + 194 * q^40 + 56 * q^42 + 1296 * q^43 - 617 * q^45 - 6756 * q^46 - 2380 * q^49 + 787 * q^51 - 5204 * q^52 + 4144 * q^54 - 5698 * q^55 + 863 * q^57 - 3066 * q^58 + 2820 * q^60 + 1492 * q^61 - 1085 * q^63 + 7648 * q^64 + 2568 * q^66 + 142 * q^67 - 5474 * q^69 + 5180 * q^70 + 1278 * q^72 + 2876 * q^73 - 1754 * q^75 + 7644 * q^76 + 936 * q^78 - 992 * q^79 + 911 * q^81 + 1022 * q^82 + 7868 * q^84 + 2672 * q^85 - 196 * q^87 + 370 * q^88 - 18767 * q^90 - 2254 * q^91 - 11096 * q^93 - 3628 * q^94 - 24248 * q^96 + 10982 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/147\mathbb{Z}\right)^\times$.

$n$	$50$	$52$
$\chi(n)$	$-1$	$e\left(\frac{1}{42}\right)$

Coefficient data

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

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

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

$2$	4.68244	+	1.83772i	1.65549	+	0.649733i	0.994887	−	0.100999i	$-0.0322038\pi$
$2$	4.68244	+	1.83772i	1.65549	+	0.649733i	0.660607	+	0.750732i	$0.270299\pi$
$3$	2.53703	+	4.53470i	0.488252	+	0.872703i
$3$	2.53703	+	4.53470i	0.488252	+	0.872703i
$4$	12.6836	+	11.7687i	1.58545	+	1.47109i
$5$	−5.25809	−	3.58491i	−0.470298	−	0.320644i	0.304875	−	0.952392i	$-0.401385\pi$
$5$	−5.25809	−	3.58491i	−0.470298	−	0.320644i	−0.775174	+	0.631748i	$0.782338\pi$
$6$	3.54598	+	25.8958i	0.241273	+	1.76199i
$7$	−15.9159	+	9.47016i	−0.859378	+	0.511340i
$7$	−15.9159	+	9.47016i	−0.859378	+	0.511340i
$8$	20.3027	+	42.1591i	0.897263	+	1.86319i
$9$	−14.1270	+	23.0093i	−0.523221	+	0.852197i
$10$	−18.0327	−	26.4491i	−0.570243	−	0.836392i
$11$	−1.90974	−	12.6703i	−0.0523463	−	0.347295i	−0.999638	−	0.0269215i	$-0.991430\pi$
$11$	−1.90974	−	12.6703i	−0.0523463	−	0.347295i	0.947291	−	0.320374i	$-0.103809\pi$
$12$	−21.1887	+	87.3739i	−0.509721	+	2.10189i
$13$	52.6182	−	41.9616i	1.12259	−	0.895236i	0.127270	−	0.991868i	$-0.459379\pi$
$13$	52.6182	−	41.9616i	1.12259	−	0.895236i	0.995320	+	0.0966324i	$0.0308071\pi$
$14$	−91.9289	+	15.0944i	−1.75493	+	0.288154i
$15$	2.91653	−	32.9389i	0.0502030	−	0.566986i
$16$	7.24557	+	96.6854i	0.113212	+	1.51071i
$17$	94.3605	+	29.1063i	1.34622	+	0.415254i	0.882327	−	0.470636i	$-0.155976\pi$
$17$	94.3605	+	29.1063i	1.34622	+	0.415254i	0.463894	+	0.885890i	$0.346452\pi$
$18$	−108.433	+	81.7784i	−1.41989	+	1.07085i
$19$	126.477	−	73.0215i	1.52715	−	0.881699i	0.527668	−	0.849451i	$-0.323067\pi$
$19$	126.477	−	73.0215i	1.52715	−	0.881699i	0.999480	−	0.0322486i	$-0.0102668\pi$
$20$	−24.5021	−	107.351i	−0.273941	−	1.20022i
$21$	−83.3234	−	48.1477i	−0.865841	−	0.500319i
$22$	14.3423	−	62.8377i	0.138990	−	0.608956i
$23$	34.7498	+	112.656i	0.315037	+	1.02132i	0.965196	+	0.261526i	$0.0842258\pi$
$23$	34.7498	+	112.656i	0.315037	+	1.02132i	−0.650160	+	0.759798i	$0.725298\pi$
$24$	−139.670	+	199.026i	−1.18792	+	1.69275i
$25$	−30.8716	−	78.6596i	−0.246973	−	0.629277i
$26$	323.496	−	99.7852i	2.44011	−	0.752673i
$27$	−140.181	−	5.68610i	−0.999178	−	0.0405293i
$28$	−313.323	−	67.1934i	−2.11473	−	0.453513i
$29$	−119.979	+	27.3843i	−0.768257	+	0.175350i	−0.588649	−	0.808389i	$-0.700340\pi$
$29$	−119.979	+	27.3843i	−0.768257	+	0.175350i	−0.179608	+	0.983738i	$0.557483\pi$
$30$	74.1890	−	148.875i	0.451500	−	0.906023i
$31$	−142.750	−	82.4166i	−0.827052	−	0.477499i	0.0257902	−	0.999667i	$-0.491790\pi$
$31$	−142.750	−	82.4166i	−0.827052	−	0.477499i	−0.852842	+	0.522169i	$0.825123\pi$
$32$	−33.4141	+	108.326i	−0.184588	+	0.598421i
$33$	52.6110	−	40.8051i	0.277527	−	0.215250i
$34$	388.348	+	309.697i	1.95886	+	1.56214i
$35$	117.637	+	7.26208i	0.568122	+	0.0350719i
$36$	−449.971	+	125.586i	−2.08320	+	0.581417i
$37$	−125.021	+	116.003i	−0.555496	+	0.515425i	−0.907207	−	0.420684i	$-0.861790\pi$
$37$	−125.021	+	116.003i	−0.555496	+	0.515425i	0.351712	+	0.936108i	$0.385600\pi$
$38$	726.415	−	109.489i	3.10105	−	0.467409i
$39$	323.777	+	132.150i	1.32938	+	0.542587i
$40$	44.3827	−	294.460i	0.175438	−	1.16395i
$41$	−251.249	+	120.995i	−0.957037	+	0.460885i	−0.846148	−	0.532948i	$-0.821084\pi$
$41$	−251.249	+	120.995i	−0.957037	+	0.460885i	−0.110889	+	0.993833i	$0.535370\pi$
$42$	−301.675	−	378.574i	−1.10832	−	1.39084i
$43$	−156.770	−	75.4965i	−0.555982	−	0.267747i	0.134723	−	0.990883i	$-0.456985\pi$
$43$	−156.770	−	75.4965i	−0.555982	−	0.267747i	−0.690705	+	0.723136i	$0.742700\pi$
$44$	124.891	−	183.181i	0.427909	−	0.627627i
$45$	156.767	−	70.3414i	0.519322	−	0.233019i
$46$	−44.3168	+	591.367i	−0.142047	+	1.89548i
$47$	70.9828	−	180.861i	0.220296	−	0.561304i	−0.777411	−	0.628993i	$-0.783467\pi$
$47$	70.9828	−	180.861i	0.220296	−	0.561304i	0.997706	+	0.0676889i	$0.0215625\pi$
$48$	−420.057	+	278.150i	−1.26312	+	0.836406i
$49$	163.632	−	301.452i	0.477062	−	0.878870i
$50$		−	425.053i		−	1.20223i
$51$	107.407	+	501.740i	0.294901	+	1.37760i
$52$	1161.22	+	87.0217i	3.09678	+	0.232072i
$53$	192.262	−	207.209i	0.498286	−	0.537024i	−0.432961	−	0.901412i	$-0.642531\pi$
$53$	192.262	−	207.209i	0.498286	−	0.537024i	0.931247	+	0.364388i	$0.118722\pi$
$54$	−645.939	−	284.238i	−1.62780	−	0.716295i
$55$	−35.3804	+	73.4681i	−0.0867397	+	0.180117i
$56$	−722.390	−	478.730i	−1.72381	−	1.14237i
$57$	652.006	+	388.277i	1.51509	+	0.902255i
$58$	−612.118	−	92.2619i	−1.38578	−	0.208872i
$59$	−361.919	+	246.752i	−0.798608	+	0.544482i	−0.892472	−	0.451104i	$-0.851031\pi$
$59$	−361.919	+	246.752i	−0.798608	+	0.544482i	0.0938639	+	0.995585i	$0.470078\pi$
$60$	424.640	−	383.461i	0.913679	−	0.825077i
$61$	−183.892	−	198.188i	−0.385983	−	0.415991i	0.509933	−	0.860214i	$-0.329670\pi$
$61$	−183.892	−	198.188i	−0.385983	−	0.415991i	−0.895916	+	0.444223i	$0.853480\pi$
$62$	−516.959	−	648.246i	−1.05893	−	1.32786i
$63$	6.94135	−	499.999i	0.0138814	−	0.999904i
$64$	128.079	−	160.606i	0.250154	−	0.313683i
$65$	−427.100	+	32.0067i	−0.815004	+	0.0610761i
$66$	321.337	−	94.3831i	0.599300	−	0.176027i
$67$	−272.311	+	471.656i	−0.496538	+	0.860029i	−0.999992	−	0.00399290i	$-0.998729\pi$
$67$	−272.311	+	471.656i	−0.496538	+	0.860029i	0.503454	+	0.864022i	$0.332062\pi$
$68$	854.289	+	1479.67i	1.52350	+	2.63877i
$69$	−422.700	+	443.392i	−0.737495	+	0.773596i
$70$	537.483	+	250.189i	0.917736	+	0.427189i
$71$	−60.6621	−	13.8457i	−0.101398	−	0.0231435i	0.171521	−	0.985180i	$-0.445132\pi$
$71$	−60.6621	−	13.8457i	−0.101398	−	0.0231435i	−0.272919	+	0.962037i	$0.587989\pi$
$72$	−1256.87	−	128.427i	−2.05727	−	0.210212i
$73$	731.305	−	287.016i	1.17250	−	0.460174i	0.302466	−	0.953160i	$-0.402190\pi$
$73$	731.305	−	287.016i	1.17250	−	0.460174i	0.870037	+	0.492986i	$0.164095\pi$
$74$	−798.585	+	313.421i	−1.25451	+	0.492358i
$75$	278.375	−	339.555i	0.428587	−	0.522780i
$76$	2463.55	+	562.290i	3.71828	+	0.848673i
$77$	150.385	+	183.574i	0.222571	+	0.271691i
$78$	1273.21	+	1213.80i	1.84825	+	1.76199i
$79$	62.0223	+	107.426i	0.0883298	+	0.152992i	0.906805	−	0.421550i	$-0.138514\pi$
$79$	62.0223	+	107.426i	0.0883298	+	0.152992i	−0.818475	+	0.574542i	$0.805180\pi$
$80$	308.510	−	534.355i	0.431156	−	0.746784i
$81$	−329.858	−	650.103i	−0.452480	−	0.891774i
$82$	−1398.81	+	104.827i	−1.88382	+	0.141173i
$83$	−424.801	+	532.684i	−0.561783	+	0.704454i	−0.978886	−	0.204405i	$-0.934474\pi$
$83$	−424.801	+	532.684i	−0.561783	+	0.704454i	0.417103	+	0.908859i	$0.363045\pi$
$84$	−490.208	−	1591.30i	−0.636739	−	2.06696i
$85$	−391.813	−	491.318i	−0.499977	−	0.626951i
$86$	−595.326	−	641.609i	−0.746461	−	0.804493i
$87$	−428.569	−	474.592i	−0.528131	−	0.584846i
$88$	495.396	−	337.755i	0.600107	−	0.409146i
$89$	303.313	+	45.7170i	0.361248	+	0.0544494i	0.327159	−	0.944969i	$-0.393909\pi$
$89$	303.313	+	45.7170i	0.361248	+	0.0544494i	0.0340893	+	0.999419i	$0.489147\pi$
$90$	863.321	−	41.2748i	1.01113	−	0.0483416i
$91$	−440.084	+	1166.16i	−0.506959	+	1.34337i
$92$	−885.062	+	1837.85i	−1.00298	+	2.08271i
$93$	11.5739	−	856.420i	0.0129049	−	0.954910i
$94$	664.745	−	716.425i	0.729396	−	0.786102i
$95$	−926.803	−	69.4543i	−1.00093	−	0.0750091i
$96$	−575.997	+	123.303i	−0.612369	+	0.131089i
$97$		−	1262.73i		−	1.32176i	−0.750490	−	0.660882i	$-0.770182\pi$
$97$		−	1262.73i		−	1.32176i	0.750490	−	0.660882i	$-0.229818\pi$
$98$	1320.18	−	1110.82i	1.36080	−	1.14500i
$99$	318.515	+	135.051i	0.323353	+	0.137103i
$100$	534.156	−	1361.01i	0.534156	−	1.36101i
$101$	69.4051	−	926.147i	0.0683769	−	0.912426i	−0.852539	−	0.522664i	$-0.824938\pi$
$101$	69.4051	−	926.147i	0.0683769	−	0.912426i	0.920916	−	0.389762i	$-0.127443\pi$
$102$	−419.132	+	2546.75i	−0.406866	+	2.47222i
$103$	243.965	−	357.831i	0.233384	−	0.342312i	−0.691625	−	0.722257i	$-0.743105\pi$
$103$	243.965	−	357.831i	0.233384	−	0.342312i	0.925009	+	0.379945i	$0.124057\pi$
$104$	2837.36	+	1366.40i	2.67525	+	1.28833i
$105$	265.517	+	551.872i	0.246779	+	0.512926i
$106$	1281.05	−	616.919i	1.17383	−	0.565288i
$107$	−99.7685	+	661.921i	−0.0901400	+	0.598040i	0.897466	+	0.441084i	$0.145406\pi$
$107$	−99.7685	+	661.921i	−0.0901400	+	0.598040i	−0.987606	+	0.156956i	$0.949832\pi$
$108$	−1711.08	−	1721.86i	−1.52453	−	1.53413i
$109$	−1264.19	+	190.545i	−1.11089	+	0.167440i	−0.678752	−	0.734368i	$-0.737479\pi$
$109$	−1264.19	+	190.545i	−1.11089	+	0.167440i	−0.432138	+	0.901807i	$0.642241\pi$
$110$	−300.680	+	278.991i	−0.260625	+	0.241825i
$111$	−843.219	−	272.631i	−0.721034	−	0.233126i
$112$	−1030.95	−	1470.22i	−0.869778	−	1.24038i
$113$	−535.554	−	427.090i	−0.445847	−	0.355551i	0.374685	−	0.927152i	$-0.377751\pi$
$113$	−535.554	−	427.090i	−0.445847	−	0.355551i	−0.820531	+	0.571601i	$0.806322\pi$
$114$	2339.44	+	3016.29i	1.92200	+	2.47808i
$115$	221.144	−	716.932i	0.179320	−	0.581341i
$116$	−1844.04	−	1064.66i	−1.47599	−	0.852164i
$117$	222.174	+	1803.50i	0.175555	+	1.42507i
$118$	−2148.13	+	490.296i	−1.67586	+	0.382504i
$119$	−1777.47	+	430.354i	−1.36925	+	0.331517i
$120$	1447.89	−	545.792i	1.10144	−	0.415198i
$121$	1114.98	−	343.925i	0.837699	−	0.258396i
$122$	−496.848	−	1265.95i	−0.368709	−	0.939456i
$123$	−1186.10	−	832.370i	−0.869490	−	0.610181i
$124$	−840.650	−	2725.32i	−0.608811	−	1.97372i
$125$	−296.674	+	1299.81i	−0.212283	+	0.930071i
$126$	951.362	−	2328.46i	0.672651	−	1.64631i
$127$	460.635	+	2018.17i	0.321848	+	1.41011i	0.834261	+	0.551370i	$0.185895\pi$
$127$	460.635	+	2018.17i	0.321848	+	1.41011i	−0.512412	+	0.858740i	$0.671248\pi$
$128$	1680.27	−	970.102i	1.16028	−	0.669889i
$129$	−55.3768	−	902.442i	−0.0377957	−	0.615935i
$130$	−2058.69	−	635.022i	−1.38892	−	0.428424i
$131$	−67.0408	−	894.597i	−0.0447128	−	0.596651i	−0.973891	−	0.227018i	$-0.927102\pi$
$131$	−67.0408	−	894.597i	−0.0447128	−	0.596651i	0.929178	−	0.369633i	$-0.120517\pi$
$132$	1147.52	+	101.606i	0.756659	+	0.0669973i
$133$	−1321.47	+	2359.96i	−0.861549	+	1.53861i
$134$	−2141.85	+	1708.07i	−1.38081	+	1.10116i
$135$	716.700	+	532.434i	0.456916	+	0.339441i
$136$	688.679	+	4569.09i	0.434219	+	2.88085i
$137$	1371.87	+	2012.16i	0.855523	+	1.25482i	0.965373	+	0.260874i	$0.0840107\pi$
$137$	1371.87	+	2012.16i	0.855523	+	1.25482i	−0.109849	+	0.993948i	$0.535037\pi$
$138$	−2794.10	+	1299.35i	−1.72355	+	0.801509i
$139$	1269.60	+	2636.36i	0.774722	+	1.60873i	0.793248	+	0.608899i	$0.208389\pi$
$139$	1269.60	+	2636.36i	0.774722	+	1.60873i	−0.0185251	+	0.999828i	$0.505897\pi$
$140$	1406.60	+	1476.54i	0.849138	+	0.891362i
$141$	1000.24	−	136.965i	0.597412	−	0.0818051i
$142$	−258.602	−	176.312i	−0.152827	−	0.104196i
$143$	−632.155	−	586.554i	−0.369675	−	0.343008i
$144$	−2327.02	−	1199.15i	−1.34666	−	0.693955i
$145$	729.029	+	286.123i	0.417535	+	0.163870i
$146$	3951.75			2.24006
$147$	1782.13	−	22.7711i	0.999918	−	0.0127764i
$148$	−2950.92			−1.63895
$149$	−2169.93	−	851.634i	−1.19307	−	0.468246i	−0.316070	−	0.948736i	$-0.602364\pi$
$149$	−2169.93	−	851.634i	−1.19307	−	0.468246i	−0.877000	+	0.480490i	$0.840459\pi$
$150$	1927.49	−	1078.37i	1.04919	−	0.586991i
$151$	295.069	+	273.784i	0.159022	+	0.147551i	0.755671	−	0.654952i	$-0.227311\pi$
$151$	295.069	+	273.784i	0.159022	+	0.147551i	−0.596649	+	0.802502i	$0.703501\pi$
$152$	5646.35	+	3849.62i	3.01302	+	2.05424i
$153$	−2002.74	+	1759.99i	−1.05825	+	0.929977i
$154$	366.812	+	1135.94i	0.191939	+	0.594395i
$155$	455.136	+	945.099i	0.235854	+	0.489756i
$156$	2551.44	+	5486.57i	1.30948	+	2.81588i
$157$	495.963	+	727.444i	0.252116	+	0.369786i	0.931344	−	0.364142i	$-0.118638\pi$
$157$	495.963	+	727.444i	0.252116	+	0.369786i	−0.679228	+	0.733927i	$0.737685\pi$
$158$	92.9971	+	616.995i	0.0468256	+	0.310668i
$159$	1427.40	+	346.153i	0.711952	+	0.172652i
$160$	564.032	−	449.800i	0.278692	−	0.222249i
$161$	−1619.95	−	1463.94i	−0.792980	−	0.716612i
$162$	−349.832	−	3650.26i	−0.169663	−	1.77032i
$163$	149.946	+	2000.89i	0.0720534	+	0.961485i	0.909698	+	0.415270i	$0.136313\pi$
$163$	149.946	+	2000.89i	0.0720534	+	0.961485i	−0.837645	+	0.546215i	$0.816068\pi$
$164$	−4610.70	−	1422.21i	−2.19534	−	0.677172i
$165$	−422.916	+	25.9515i	−0.199539	+	0.0122444i
$166$	−2968.03	+	1713.59i	−1.38774	+	0.801209i
$167$	5.02624	+	22.0214i	0.00232899	+	0.0102040i	0.976079	−	0.217416i	$-0.0697628\pi$
$167$	5.02624	+	22.0214i	0.00232899	+	0.0102040i	−0.973750	+	0.227620i	$0.926906\pi$
$168$	338.170	−	4490.37i	0.155300	−	2.06214i
$169$	519.021	−	2273.98i	0.236241	−	1.03504i
$170$	−931.735	−	3020.61i	−0.420358	−	1.36277i
$171$	−106.559	+	3941.72i	−0.0476535	+	1.76275i
$172$	−1099.92	−	2802.55i	−0.487605	−	1.24240i
$173$	−3332.28	+	1027.87i	−1.46444	+	0.451720i	−0.921609	−	0.388120i	$-0.873125\pi$
$173$	−3332.28	+	1027.87i	−1.46444	+	0.451720i	−0.542833	+	0.839841i	$0.682648\pi$
$174$	−1134.58	−	3009.84i	−0.494324	−	1.31135i
$175$	1236.27	+	959.580i	0.534018	+	0.414500i
$176$	1211.20	−	276.448i	0.518736	−	0.118398i
$177$	−2037.15	−	1015.18i	−0.865092	−	0.431103i
$178$	1336.23	+	771.472i	0.562666	+	0.324855i
$179$	1068.29	−	3463.31i	0.446077	−	1.44615i	−0.401689	−	0.915776i	$-0.631577\pi$
$179$	1068.29	−	3463.31i	0.446077	−	1.44615i	0.847766	−	0.530370i	$-0.177947\pi$
$180$	2816.20	+	952.760i	1.16615	+	0.394525i
$181$	−844.481	−	673.451i	−0.346794	−	0.276559i	0.434565	−	0.900640i	$-0.356902\pi$
$181$	−844.481	−	673.451i	−0.346794	−	0.276559i	−0.781360	+	0.624081i	$0.785474\pi$
$182$	−4203.75	+	4651.73i	−1.71210	+	1.89456i
$183$	432.185	−	1336.70i	0.174579	−	0.539957i
$184$	−4043.96	+	3752.25i	−1.62024	+	1.50337i
$185$	1073.23	−	161.764i	0.426517	−	0.0642870i
$186$	1628.06	−	3988.87i	0.641801	−	1.57246i
$187$	188.583	−	1251.16i	0.0737461	−	0.489274i
$188$	3028.82	−	1458.60i	1.17500	−	0.565848i
$189$	2284.95	−	1237.04i	0.879396	−	0.476090i
$190$	−4212.07	−	2028.42i	−1.60829	−	0.774512i
$191$	−58.0239	+	85.1054i	−0.0219815	+	0.0322409i	−0.837072	−	0.547092i	$-0.815735\pi$
$191$	−58.0239	+	85.1054i	−0.0219815	+	0.0322409i	0.815091	+	0.579333i	$0.196687\pi$
$192$	1053.24	+	173.337i	0.395890	+	0.0651538i
$193$	320.329	−	4274.49i	0.119470	−	1.59422i	−0.539457	−	0.842013i	$-0.681371\pi$
$193$	320.329	−	4274.49i	0.119470	−	1.59422i	0.658927	−	0.752207i	$-0.271010\pi$
$194$	2320.55	−	5912.67i	0.858794	−	2.18817i
$195$	−1228.71	−	1855.57i	−0.451228	−	0.681436i
$196$	5623.15	−	1897.77i	2.04925	−	0.691608i
$197$			3350.56i			1.21176i	0.795555	+	0.605882i	$0.207180\pi$
$197$			3350.56i			1.21176i	−0.795555	+	0.605882i	$0.792820\pi$
$198$	1243.24	+	1217.71i	0.446228	+	0.437066i
$199$	−1642.12	−	123.060i	−0.584959	−	0.0438366i	−0.221036	−	0.975266i	$-0.570944\pi$
$199$	−1642.12	−	123.060i	−0.584959	−	0.0438366i	−0.363923	+	0.931429i	$0.618563\pi$
$200$	2689.44	−	2898.53i	0.950860	−	1.02478i
$201$	−2829.68	−	38.2411i	−0.992985	−	0.0134195i
$202$	2026.99	−	4209.08i	0.706031	−	1.46609i
$203$	1650.23	−	1572.06i	0.570560	−	0.543533i
$204$	−4542.51	+	7627.92i	−1.55902	+	2.61795i
$205$	1754.85	+	264.501i	0.597873	+	0.0901148i
$206$	1799.95	−	1227.18i	0.608778	−	0.415058i
$207$	−3083.05	−	791.919i	−1.03520	−	0.265904i
$208$	4438.32	+	4783.38i	1.47953	+	1.59456i
$209$	−1166.75	−	1463.05i	−0.386151	−	0.484218i
$210$	229.081	+	3072.06i	0.0752766	+	1.00949i
$211$	41.3349	−	51.8323i	0.0134863	−	0.0169113i	−0.775043	−	0.631909i	$-0.782272\pi$
$211$	41.3349	−	51.8323i	0.0134863	−	0.0169113i	0.788529	+	0.614998i	$0.210843\pi$
$212$	4877.15	−	365.492i	1.58002	−	0.118406i
$213$	−91.1154	−	310.211i	−0.0293104	−	0.0997903i
$214$	−1683.59	+	2916.06i	−0.537793	+	0.931484i
$215$	553.664	+	958.975i	0.175626	+	0.304193i
$216$	−2606.33	−	6025.34i	−0.821012	−	1.89802i
$217$	3052.49	−	40.1276i	0.954915	−	0.0125532i
$218$	−6269.65	−	1431.01i	−1.94786	−	0.444587i
$219$	3156.87	+	2588.08i	0.974072	+	0.798566i
$220$	−1313.37	+	515.461i	−0.402489	+	0.157965i
$221$	6186.43	−	2427.99i	1.88301	−	0.739025i
$222$	−3447.31	−	2826.18i	−1.04220	−	0.854418i
$223$	1531.73	+	349.608i	0.459966	+	0.104984i	0.446224	−	0.894921i	$-0.352768\pi$
$223$	1531.73	+	349.608i	0.459966	+	0.104984i	0.0137422	+	0.999906i	$0.495626\pi$
$224$	−494.046	−	2040.54i	−0.147365	−	0.608657i
$225$	2246.03	+	400.886i	0.665490	+	0.118781i
$226$	−1722.83	−	2984.02i	−0.507083	−	0.878294i
$227$	1834.75	−	3177.89i	0.536462	−	0.929180i	−0.462629	−	0.886552i	$-0.653094\pi$
$227$	1834.75	−	3177.89i	0.536462	−	0.929180i	0.999091	−	0.0426278i	$-0.0135730\pi$
$228$	3700.30	+	12598.0i	1.07482	+	3.65932i
$229$	−3347.54	+	250.863i	−0.965990	+	0.0723909i	−0.548374	−	0.836233i	$-0.684753\pi$
$229$	−3347.54	+	250.863i	−0.965990	+	0.0723909i	−0.417615	+	0.908624i	$0.637134\pi$
$230$	2353.02	−	2950.59i	0.674580	−	0.845897i
$231$	−450.921	+	1147.69i	−0.128435	+	0.326892i
$232$	−3590.39	−	4502.21i	−1.01604	−	1.27407i
$233$	3969.47	+	4278.07i	1.11609	+	1.20286i	0.977149	+	0.212557i	$0.0681793\pi$
$233$	3969.47	+	4278.07i	1.11609	+	1.20286i	0.138941	+	0.990301i	$0.455630\pi$
$234$	−2274.02	+	8853.08i	−0.635288	+	2.47326i
$235$	−1021.60	+	696.518i	−0.283584	+	0.193344i
$236$	−7494.40	−	1129.60i	−2.06713	−	0.311570i
$237$	−329.791	+	553.795i	−0.0903892	+	0.151784i
$238$	−9113.79	−	1251.40i	−2.48218	−	0.340823i
$239$	−643.402	+	1336.04i	−0.174135	+	0.361595i	−0.969710	−	0.244261i	$-0.921455\pi$
$239$	−643.402	+	1336.04i	−0.174135	+	0.361595i	0.795575	+	0.605855i	$0.207169\pi$
$240$	3205.84	+	43.3247i	0.862234	+	0.0116525i
$241$	−1037.99	+	1118.69i	−0.277440	+	0.299009i	−0.856364	−	0.516372i	$-0.827282\pi$
$241$	−1037.99	+	1118.69i	−0.277440	+	0.299009i	0.578925	+	0.815381i	$0.303473\pi$
$242$	5852.86	+	438.611i	1.55469	+	0.116508i
$243$	2111.16	−	3145.14i	0.557330	−	0.830291i
$244$		−	4677.92i		−	1.22735i
$245$	−1941.07	+	998.458i	−0.506166	+	0.260364i
$246$	−4024.19	−	6077.25i	−1.04298	−	1.57509i
$247$	3590.89	−	9149.44i	0.925032	−	2.35694i
$248$	576.397	−	7691.48i	0.147586	−	1.96939i
$249$	−3493.29	−	574.910i	−0.889070	−	0.146319i
$250$	−3777.86	+	5541.10i	−0.955731	+	1.40180i
$251$	−255.174	−	122.885i	−0.0641690	−	0.0309022i	0.401524	−	0.915848i	$-0.368481\pi$
$251$	−255.174	−	122.885i	−0.0641690	−	0.0309022i	−0.465693	+	0.884946i	$0.654195\pi$
$252$	5972.37	−	6260.11i	1.49295	−	1.56488i
$253$	1361.03	−	655.437i	0.338210	−	0.162873i
$254$	−1551.95	+	10296.5i	−0.383377	+	2.54354i
$255$	1233.94	−	3023.24i	0.303028	−	0.742441i
$256$	8025.51	−	1209.65i	1.95935	−	0.295325i
$257$	4920.48	−	4565.54i	1.19428	−	1.10813i	0.202625	−	0.979257i	$-0.435053\pi$
$257$	4920.48	−	4565.54i	1.19428	−	1.10813i	0.991660	−	0.128878i	$-0.0411376\pi$
$258$	1399.14	−	4327.40i	0.337623	−	1.04423i
$259$	891.261	−	3030.26i	0.213823	−	0.726992i
$260$	−5793.86	−	4620.45i	−1.38200	−	1.10211i
$261$	1064.84	−	3147.48i	0.252535	−	0.746453i
$262$	1330.11	−	4312.10i	0.313643	−	1.01680i
$263$	−4240.24	−	2448.10i	−0.994161	−	0.573979i	−0.0876453	−	0.996152i	$-0.527934\pi$
$263$	−4240.24	−	2448.10i	−0.994161	−	0.573979i	−0.906515	+	0.422173i	$0.861268\pi$
$264$	2788.45	+	1389.58i	0.650066	+	0.323949i
$265$	−1753.75	+	400.283i	−0.406537	+	0.0927893i
$266$	−10524.7	+	8621.88i	−2.42597	+	1.98737i
$267$	562.200	+	1491.42i	0.128862	+	0.341847i
$268$	−9004.66	+	2777.57i	−2.05241	+	0.633086i
$269$	−1223.93	−	3118.51i	−0.277413	−	0.706836i	−0.999881	−	0.0154321i	$-0.995088\pi$
$269$	−1223.93	−	3118.51i	−0.277413	−	0.706836i	0.722468	−	0.691404i	$-0.243008\pi$
$270$	2377.44	+	3810.19i	0.535876	+	0.858817i
$271$	1999.69	+	6482.82i	0.448237	+	1.45315i	0.844770	+	0.535129i	$0.179737\pi$
$271$	1999.69	+	6482.82i	0.448237	+	1.45315i	−0.396533	+	0.918020i	$0.629787\pi$
$272$	−2130.46	+	9334.17i	−0.474920	+	2.08076i
$273$	−6404.69	+	962.939i	−1.41989	+	0.213479i
$274$	2725.90	+	11943.0i	0.601014	+	2.63321i
$275$	−937.687	+	541.374i	−0.205617	+	0.118713i
$276$	−10579.5	+	649.193i	−2.30729	+	0.141583i
$277$	2827.36	+	872.125i	0.613283	+	0.189173i	0.585808	−	0.810450i	$-0.300777\pi$
$277$	2827.36	+	872.125i	0.613283	+	0.189173i	0.0274751	+	0.999622i	$0.491253\pi$
$278$	1099.95	+	14677.8i	0.237304	+	3.16660i
$279$	3912.97	−	2120.28i	0.839654	−	0.454974i
$280$	2082.19	+	5106.91i	0.444410	+	1.08999i
$281$	−5604.86	+	4469.73i	−1.18989	+	0.948903i	−0.999462	−	0.0327990i	$-0.989558\pi$
$281$	−5604.86	+	4469.73i	−1.18989	+	0.948903i	−0.190425	+	0.981702i	$0.560986\pi$
$282$	4935.25	+	1196.83i	1.04216	+	0.252730i
$283$	119.396	+	792.139i	0.0250789	+	0.166388i	0.997864	−	0.0653199i	$-0.0208068\pi$
$283$	119.396	+	792.139i	0.0250789	+	0.166388i	−0.972785	+	0.231708i	$0.925569\pi$
$284$	−606.469	−	889.527i	−0.126716	−	0.185858i
$285$	−2036.37	−	4378.98i	−0.423243	−	0.910135i
$286$	−1882.11	−	3908.23i	−0.389130	−	0.808037i
$287$	2853.01	−	4305.11i	0.586787	−	0.885446i
$288$	−2020.46	−	2299.15i	−0.413392	−	0.470412i
$289$	3997.40	+	2725.38i	0.813638	+	0.554729i
$290$	2887.82	+	2679.51i	0.584754	+	0.542573i
$291$	5726.11	−	3203.59i	1.15351	−	0.645353i
$292$	12653.4	+	4966.09i	2.53590	+	0.995269i
$293$	−6365.92			−1.26929			−0.634643	−	0.772806i	$-0.718853\pi$
$293$	−6365.92			−1.26929			−0.634643	+	0.772806i	$0.718853\pi$
$294$	8386.59	+	3168.45i	1.66366	+	0.628529i
$295$	2787.59			0.550169
$296$	−7428.84	−	2915.60i	−1.45876	−	0.572520i
$297$	195.665	+	1787.00i	0.0382277	+	0.349131i
$298$	−8595.50	−	7975.46i	−1.67089	−	1.55036i
$299$	6555.71	+	4469.61i	1.26798	+	0.864496i
$300$	7526.93	−	1030.68i	1.44856	−	0.198355i
$301$	3210.10	−	283.042i	0.614709	−	0.0542003i
$302$	878.503	+	1824.23i	0.167391	+	0.347592i
$303$	4375.88	−	2034.93i	0.829662	−	0.385821i
$304$	7976.51	+	11699.4i	1.50488	+	2.20726i
$305$	256.434	+	1701.33i	0.0481422	+	0.319403i
$306$	−12612.1	+	4560.55i	−2.35616	+	0.851991i
$307$	−3098.96	+	2471.34i	−0.576115	+	0.459436i	−0.867686	−	0.497113i	$-0.834393\pi$
$307$	−3098.96	+	2471.34i	−0.576115	+	0.459436i	0.291571	+	0.956549i	$0.405822\pi$
$308$	−252.996	+	4098.23i	−0.0468044	+	0.758175i
$309$	2241.60	+	198.480i	0.412687	+	0.0365408i
$310$	394.316	+	5261.79i	0.0722441	+	0.964030i
$311$	7935.61	+	2447.81i	1.44690	+	0.446311i	0.916020	−	0.401133i	$-0.131384\pi$
$311$	7935.61	+	2447.81i	1.44690	+	0.446311i	0.530885	+	0.847444i	$0.321860\pi$
$312$	1002.25	+	16333.2i	0.181864	+	2.96373i
$313$	−7521.35	+	4342.45i	−1.35825	+	0.784185i	−0.989388	−	0.145300i	$-0.953585\pi$
$313$	−7521.35	+	4342.45i	−1.35825	+	0.784185i	−0.368860	+	0.929485i	$0.620252\pi$
$314$	985.477	+	4317.66i	0.177114	+	0.775986i
$315$	−1828.95	+	2604.16i	−0.327141	+	0.465802i
$316$	−477.593	+	2092.47i	−0.0850212	+	0.372502i
$317$	−2849.27	−	9237.09i	−0.504829	−	1.63661i	−0.745864	−	0.666098i	$-0.767963\pi$
$317$	−2849.27	−	9237.09i	−0.504829	−	1.63661i	0.241035	−	0.970516i	$-0.422513\pi$
$318$	6047.59	+	4244.01i	1.06645	+	0.748404i
$319$	576.097	+	1467.87i	0.101114	+	0.257633i
$320$	−1249.21	+	385.330i	−0.218228	+	0.0673143i
$321$	−3254.72	+	1226.89i	−0.565922	+	0.213329i
$322$	−4895.00	−	9831.83i	−0.847166	−	1.70157i
$323$	14059.8	−	3209.06i	2.42201	−	0.552808i
$324$	3467.06	−	12127.7i	0.594490	−	2.07950i
$325$	−4925.10	−	2843.51i	−0.840601	−	0.485321i
$326$	−2974.98	+	9644.63i	−0.505425	+	1.63855i
$327$	−4071.34	−	5249.28i	−0.688519	−	0.887724i
$328$	−10202.1	−	8135.89i	−1.71743	−	1.36960i
$329$	583.028	+	3550.79i	0.0977003	+	0.595019i
$330$	−2027.97	−	655.687i	−0.338292	−	0.109377i
$331$	6.36972	−	5.91024i	0.00105774	−	0.000981439i	−0.679644	−	0.733542i	$-0.737866\pi$
$331$	6.36972	−	5.91024i	0.00105774	−	0.000981439i	0.680701	+	0.732561i	$0.261675\pi$
$332$	−11657.0	+	1757.01i	−1.92699	+	0.290447i
$333$	−902.975	−	4515.42i	−0.148597	−	0.743073i
$334$	−16.9341	+	112.351i	−0.00277424	+	0.0184059i
$335$	3122.68	−	1503.80i	0.509284	−	0.245258i
$336$	4051.46	−	8405.01i	0.657813	−	1.36468i
$337$	4252.61	+	2047.95i	0.687403	+	0.331036i	0.744774	−	0.667317i	$-0.232557\pi$
$337$	4252.61	+	2047.95i	0.687403	+	0.331036i	−0.0573710	+	0.998353i	$0.518272\pi$
$338$	6609.23	−	9693.95i	1.06359	−	1.56000i
$339$	578.007	−	3512.12i	0.0926049	−	0.562690i
$340$	812.556	−	10842.8i	0.129609	−	1.72951i
$341$	−771.630	+	1966.08i	−0.122540	+	0.312227i
$342$	−7742.75	+	18261.1i	−1.22421	+	2.88727i
$343$	250.446	+	6347.51i	0.0394251	+	0.999223i
$344$		−	8142.07i		−	1.27614i
$345$	3812.12	−	816.056i	0.594892	−	0.127348i
$346$	−17492.1	−	1310.86i	−2.71787	−	0.203676i
$347$	4770.01	−	5140.85i	0.737947	−	0.795318i	−0.246845	−	0.969055i	$-0.579394\pi$
$347$	4770.01	−	5140.85i	0.737947	−	0.795318i	0.984792	+	0.173737i	$0.0555844\pi$
$348$	149.512	−	11063.2i	0.0230307	−	1.70417i
$349$	−3728.15	+	7741.58i	−0.571814	+	1.18738i	0.391791	+	0.920054i	$0.371856\pi$
$349$	−3728.15	+	7741.58i	−0.571814	+	1.18738i	−0.963605	+	0.267330i	$0.913859\pi$
$350$	4025.32	+	6765.10i	0.614749	+	1.03317i
$351$	−7614.67	+	5583.02i	−1.15795	+	0.849002i
$352$	1436.33	+	216.493i	0.217491	+	0.0327815i
$353$	−2498.70	+	1703.59i	−0.376749	+	0.256863i	−0.736859	−	0.676047i	$-0.763692\pi$
$353$	−2498.70	+	1703.59i	−0.376749	+	0.256863i	0.360109	+	0.932910i	$0.382739\pi$
$354$	−7673.21	−	8497.21i	−1.15205	−	1.27577i
$355$	269.331	+	290.270i	0.0402665	+	0.0433970i
$356$	3309.07	+	4149.45i	0.492642	+	0.617754i
$357$	−6461.03	−	6968.48i	−0.957855	−	1.03308i
$358$	11366.8	−	14253.5i	1.67809	−	2.10425i
$359$	−7882.66	+	590.724i	−1.15886	+	0.0868446i	−0.640250	−	0.768166i	$-0.721169\pi$
$359$	−7882.66	+	590.724i	−1.15886	+	0.0868446i	−0.518610	+	0.855011i	$0.673550\pi$
$360$	6148.33	+	5181.04i	0.900126	+	0.758513i
$361$	7234.79	−	12531.0i	1.05479	−	1.82694i
$362$	−2716.62	−	4705.32i	−0.394426	−	0.683166i
$363$	4388.33	+	4183.54i	0.634511	+	0.604900i
$364$	−19306.0	+	9611.94i	−2.77998	+	1.38407i
$365$	−4874.20	−	1112.50i	−0.698978	−	0.159537i
$366$	4480.18	−	5464.81i	0.639843	−	0.780465i
$367$	9336.79	−	3664.42i	1.32800	−	0.521202i	0.407952	−	0.913003i	$-0.366243\pi$
$367$	9336.79	−	3664.42i	1.32800	−	0.521202i	0.920050	+	0.391801i	$0.128148\pi$
$368$	−10640.4	+	4176.06i	−1.50726	+	0.591555i
$369$	765.367	−	7490.36i	0.107977	−	1.05673i
$370$	5322.62	+	1214.85i	0.747865	+	0.170695i
$371$	−1097.72	+	5118.66i	−0.153614	+	0.716301i
$372$	10225.7	−	10726.3i	1.42522	−	1.49498i
$373$	−3414.06	−	5913.33i	−0.473923	−	0.820859i	0.525631	−	0.850713i	$-0.323829\pi$
$373$	−3414.06	−	5913.33i	−0.473923	−	0.820859i	−0.999554	+	0.0298534i	$0.990496\pi$
$374$	3182.32	−	5511.94i	0.439984	−	0.762074i
$375$	−6646.93	+	1952.34i	−0.915323	+	0.268849i
$376$	9066.08	−	679.409i	1.24348	−	0.0931857i
$377$	−5163.97	+	6475.41i	−0.705459	+	0.884617i
$378$	12972.5	−	1593.23i	1.76517	−	0.216791i
$379$	4967.22	+	6228.69i	0.673216	+	0.844186i	0.994710	−	0.102726i	$-0.0327565\pi$
$379$	4967.22	+	6228.69i	0.673216	+	0.844186i	−0.321494	+	0.946912i	$0.604185\pi$
$380$	−10937.8	−	11788.2i	−1.47658	−	1.59137i
$381$	−7983.16	+	7209.01i	−1.07346	+	0.969367i
$382$	−428.094	+	291.869i	−0.0573382	+	0.0390925i
$383$	−5847.95	−	881.437i	−0.780199	−	0.117596i	−0.253146	−	0.967428i	$-0.581465\pi$
$383$	−5847.95	−	881.437i	−0.780199	−	0.117596i	−0.527054	+	0.849832i	$0.676703\pi$
$384$	8662.01	+	5158.32i	1.15112	+	0.685506i
$385$	−132.644	−	1504.37i	−0.0175588	−	0.199142i
$386$	9355.25	−	19426.4i	1.23360	−	2.56160i
$387$	3951.81	−	2540.64i	0.519074	−	0.333716i
$388$	14860.7	−	16016.0i	1.94443	−	2.09559i
$389$	−9877.11	−	740.187i	−1.28738	−	0.0964755i	−0.586612	−	0.809868i	$-0.699538\pi$
$389$	−9877.11	−	740.187i	−1.28738	−	0.0964755i	−0.700764	+	0.713393i	$0.747157\pi$
$390$	−2343.33	−	10946.6i	−0.304254	−	1.42129i
$391$			11641.7i			1.50575i
$392$	16031.1	+	778.275i	2.06555	+	0.100278i
$393$	3886.64	−	2573.63i	0.498868	−	0.330337i
$394$	−6157.40	+	15688.8i	−0.787323	+	2.00607i
$395$	58.9925	−	787.200i	0.00751451	−	0.100274i
$396$	2450.55	+	5461.44i	0.310971	+	0.693050i
$397$	3595.74	−	5273.98i	0.454572	−	0.666734i	−0.528715	−	0.848800i	$-0.677326\pi$
$397$	3595.74	−	5273.98i	0.454572	−	0.666734i	0.983286	+	0.182065i	$0.0582782\pi$
$398$	−7462.99	−	3593.99i	−0.939914	−	0.452639i
$399$	−14054.3	−	5.17729i	−1.76340	−	0.000649596i
$400$	7381.55	−	3554.77i	0.922694	−	0.444346i
$401$	−1541.95	+	10230.1i	−0.192023	+	1.27399i	0.660312	+	0.750991i	$0.270424\pi$
$401$	−1541.95	+	10230.1i	−0.192023	+	1.27399i	−0.852335	+	0.522996i	$0.824814\pi$
$402$	−13179.5	−	5379.23i	−1.63516	−	0.667392i
$403$	−10969.6	+	1653.40i	−1.35591	+	0.204371i
$404$	11779.8	−	10930.1i	1.45067	−	1.34602i
$405$	−596.135	+	4600.82i	−0.0731412	+	0.564485i
$406$	10616.1	−	4328.42i	1.29771	−	0.529103i
$407$	1708.55	+	1362.52i	0.208083	+	0.165940i
$408$	−18972.2	+	14714.9i	−2.30212	+	1.78553i
$409$	535.208	−	1735.10i	0.0647050	−	0.209768i	−0.917447	−	0.397858i	$-0.869754\pi$
$409$	535.208	−	1735.10i	0.0647050	−	0.209768i	0.982152	+	0.188090i	$0.0602297\pi$
$410$	7730.89	+	4463.43i	0.931223	+	0.537642i
$411$	−5644.07	+	11325.9i	−0.677376	+	1.35929i
$412$	7305.56	−	1667.45i	0.873591	−	0.199391i
$413$	3423.49	−	7354.72i	0.407891	−	0.876276i
$414$	−12980.9	−	9373.91i	−1.54100	−	1.11281i
$415$	4143.27	−	1278.03i	0.490084	−	0.151171i
$416$	2787.34	+	7102.01i	0.328510	+	0.837031i
$417$	−8734.07	+	12445.8i	−1.02568	+	1.46157i
$418$	−2774.53	−	8994.82i	−0.324658	−	1.05251i
$419$	116.163	−	508.944i	0.0135440	−	0.0593401i	−0.967704	−	0.252088i	$-0.918883\pi$
$419$	116.163	−	508.944i	0.0135440	−	0.0593401i	0.981248	+	0.192748i	$0.0617399\pi$
$420$	−3127.09	+	10124.5i	−0.363301	+	1.17625i
$421$	324.213	+	1420.47i	0.0375325	+	0.164441i	0.990221	−	0.139508i	$-0.0445521\pi$
$421$	324.213	+	1420.47i	0.0375325	+	0.164441i	−0.952688	+	0.303949i	$0.901695\pi$
$422$	288.802	−	166.740i	0.0333143	−	0.0192340i
$423$	3158.72	+	4188.28i	0.363079	+	0.481421i
$424$	12639.2	+	3898.66i	1.44767	+	0.446547i
$425$	−623.567	−	8320.92i	−0.0711704	−	0.949703i
$426$	143.440	−	1619.99i	0.0163138	−	0.184246i
$427$	4803.68	+	1412.86i	0.544418	+	0.160125i
$428$	−9055.36	+	7221.41i	−1.02268	+	0.815561i
$429$	1056.05	−	4354.74i	0.118850	−	0.490090i
$430$	830.171	+	5507.83i	0.0931033	+	0.617700i
$431$	2148.77	+	3151.66i	0.240145	+	0.352228i	0.927324	−	0.374260i	$-0.122103\pi$
$431$	2148.77	+	3151.66i	0.240145	+	0.352228i	−0.687179	+	0.726489i	$0.741151\pi$
$432$	−465.926	−	13594.6i	−0.0518910	−	1.51406i
$433$	−412.568	−	856.707i	−0.0457893	−	0.0950824i	0.876819	−	0.480820i	$-0.159661\pi$
$433$	−412.568	−	856.707i	−0.0457893	−	0.0950824i	−0.922608	+	0.385738i	$0.873947\pi$
$434$	14366.9	+	5421.74i	1.58901	+	0.599658i
$435$	552.088	+	4031.83i	0.0608520	+	0.444394i
$436$	−18276.9	−	12461.0i	−2.00758	−	1.36875i
$437$	12621.4	+	11710.9i	1.38161	+	1.28194i
$438$	10025.7	+	17920.0i	1.09371	+	1.95491i
$439$	−4172.95	−	1637.76i	−0.453676	−	0.178055i	0.127490	−	0.991840i	$-0.459308\pi$
$439$	−4172.95	−	1637.76i	−0.453676	−	0.178055i	−0.581166	+	0.813785i	$0.697403\pi$
$440$	−3815.66			−0.413420
$441$	4624.59	+	8023.67i	0.499362	+	0.866394i
$442$	33429.6			3.59747
$443$	3906.05	+	1533.01i	0.418921	+	0.164414i	0.565432	−	0.824795i	$-0.308709\pi$
$443$	3906.05	+	1533.01i	0.418921	+	0.164414i	−0.146512	+	0.989209i	$0.546805\pi$
$444$	−7486.57	−	13381.5i	−0.800219	−	1.43031i
$445$	−1430.95	−	1327.73i	−0.152435	−	0.141439i
$446$	6529.77	+	4451.92i	0.693260	+	0.472656i
$447$	−1643.27	−	12000.6i	−0.173879	−	1.26982i
$448$	−517.529	+	3769.11i	−0.0545780	+	0.397486i
$449$	3952.29	+	8207.01i	0.415412	+	0.862611i	0.998731	+	0.0503683i	$0.0160395\pi$
$449$	3952.29	+	8207.01i	0.415412	+	0.862611i	−0.583319	+	0.812243i	$0.698246\pi$
$450$	9780.18	+	6004.70i	1.02454	+	0.629032i
$451$	2012.87	+	2952.34i	0.210160	+	0.308249i
$452$	−1766.48	−	11719.8i	−0.183823	−	1.21959i
$453$	−492.928	+	2032.64i	−0.0511253	+	0.210821i
$454$	14431.2	−	11508.5i	1.49183	−	1.18969i
$455$	6494.58	−	4554.12i	0.669166	−	0.469232i
$456$	−3131.88	+	35371.1i	−0.321631	+	3.63246i
$457$	682.718	+	9110.24i	0.0698823	+	0.932514i	0.916428	+	0.400199i	$0.131059\pi$
$457$	682.718	+	9110.24i	0.0698823	+	0.932514i	−0.846546	+	0.532316i	$0.821322\pi$
$458$	−16135.7	−	4977.20i	−1.64622	−	0.507793i
$459$	−13062.0	−	4616.70i	−1.32829	−	0.469475i
$460$	11242.3	−	6490.72i	1.13951	−	0.657895i
$461$	−516.614	−	2263.43i	−0.0521933	−	0.228674i	0.942104	−	0.335322i	$-0.108845\pi$
$461$	−516.614	−	2263.43i	−0.0521933	−	0.228674i	−0.994297	+	0.106649i	$0.965988\pi$
$462$	−4220.54	+	4545.30i	−0.425016	+	0.457720i
$463$	−683.564	+	2994.89i	−0.0686132	+	0.300614i	−0.997578	−	0.0695534i	$-0.977843\pi$
$463$	−683.564	+	2994.89i	−0.0686132	+	0.300614i	0.928965	+	0.370167i	$0.120700\pi$
$464$	−3516.98	−	11401.8i	−0.351878	−	1.14076i
$465$	−3131.05	+	4461.65i	−0.312255	+	0.444955i
$466$	10724.9	+	27326.6i	1.06614	+	2.71648i
$467$	4804.84	−	1482.10i	0.476106	−	0.146859i	−0.0474092	−	0.998876i	$-0.515096\pi$
$467$	4804.84	−	1482.10i	0.476106	−	0.146859i	0.523515	+	0.852016i	$0.324620\pi$
$468$	−18406.9	+	25489.6i	−1.81807	+	2.51765i
$469$	−132.585	−	10085.7i	−0.0130537	−	0.992990i
$470$	−6063.61	+	1383.98i	−0.595093	+	0.135826i
$471$	−2040.47	+	4094.59i	−0.199617	+	0.400571i
$472$	−17750.8	−	10248.4i	−1.73103	−	0.999411i
$473$	−657.175	+	2130.51i	−0.0638836	+	0.207106i
$474$	−2561.95	+	1987.05i	−0.248258	+	0.192549i
$475$	−9648.40	−	7694.34i	−0.931998	−	0.743243i
$476$	−27609.5	−	15460.1i	−2.65857	−	1.48868i
$477$	2051.66	+	7351.04i	0.196937	+	0.705620i
$478$	−5467.96	+	5073.53i	−0.523219	+	0.485476i
$479$	15078.9	−	2272.78i	1.43836	−	0.216798i	0.616889	−	0.787050i	$-0.288393\pi$
$479$	15078.9	−	2272.78i	1.43836	−	0.216798i	0.821469	+	0.570253i	$0.193155\pi$
$480$	3470.68	+	1416.56i	0.330029	+	0.134701i
$481$	−1710.73	+	11349.9i	−0.162167	+	1.07591i
$482$	−6916.18	+	3330.66i	−0.653576	+	0.314745i
$483$	2528.67	−	11060.0i	0.238216	−	1.04192i
$484$	18189.5	+	8759.60i	1.70826	+	0.822652i
$485$	−4526.78	+	6639.57i	−0.423815	+	0.621623i
$486$	15665.3	−	10847.2i	1.46212	−	1.01243i
$487$	−301.532	+	4023.66i	−0.0280569	+	0.374393i	0.965447	+	0.260598i	$0.0839198\pi$
$487$	−301.532	+	4023.66i	−0.0280569	+	0.374393i	−0.993504	+	0.113795i	$0.963699\pi$
$488$	4621.93	−	11776.5i	0.428740	−	1.09241i
$489$	−8693.03	+	5756.29i	−0.803911	+	0.532328i
$490$	−10923.9	+	1108.07i	−1.00712	+	0.102158i
$491$			8241.44i			0.757497i	0.925500	+	0.378748i	$0.123645\pi$
$491$			8241.44i			0.757497i	−0.925500	+	0.378748i	$0.876355\pi$
$492$	−5248.19	−	24516.3i	−0.480907	−	2.24651i
$493$	−12118.3	−	908.140i	−1.10706	−	0.0829626i
$494$	33628.3	−	36242.7i	3.06277	−	3.30088i
$495$	−1190.63	−	1851.96i	−0.108111	−	0.168160i
$496$	6934.18	−	14399.0i	0.627729	−	1.30349i
$497$	1096.61	−	354.112i	0.0989735	−	0.0319600i
$498$	−15300.6	−	9111.69i	−1.37678	−	0.819889i
$499$	6.74091	+	1.01603i	0.000604739	+	9.11497e-5i	0.149345	−	0.988785i	$-0.452284\pi$
$499$	6.74091	+	1.01603i	0.000604739	+	9.11497e-5i	−0.148740	+	0.988876i	$0.547522\pi$
$500$	−19060.0	+	12994.9i	−1.70478	+	1.16230i
$501$	−87.1086	+	78.6614i	−0.00776791	+	0.00701463i
$502$	−969.007	−	1044.34i	−0.0861532	−	0.0928511i
$503$	−2132.28	−	2673.80i	−0.189013	−	0.237015i	0.678291	−	0.734793i	$-0.262721\pi$
$503$	−2132.28	−	2673.80i	−0.189013	−	0.237015i	−0.867304	+	0.497778i	$0.834149\pi$
$504$	21220.4	−	9858.71i	1.87546	−	0.871313i
$505$	−3685.09	+	4620.96i	−0.324722	+	0.407188i
$506$	7577.45	−	567.851i	0.665728	−	0.0498895i
$507$	11628.6	−	3415.55i	1.01863	−	0.299191i
$508$	−17908.7	+	31018.8i	−1.56412	+	2.70913i
$509$	−5281.10	−	9147.13i	−0.459883	−	0.796541i	0.539071	−	0.842260i	$-0.318775\pi$
$509$	−5281.10	−	9147.13i	−0.459883	−	0.796541i	−0.998954	+	0.0457193i	$0.985442\pi$
$510$	11333.7	−	11888.5i	0.984049	−	1.03222i
$511$	−8921.29	+	11493.7i	−0.772318	+	0.995012i
$512$	24669.5	+	5630.65i	2.12939	+	0.486020i
$513$	−18144.9	+	9517.06i	−1.56163	+	0.819081i
$514$	31430.1	−	12335.4i	2.69712	−	1.05854i
$515$	−2565.58	+	1006.92i	−0.219521	+	0.0861555i
$516$	9918.18	−	12098.0i	0.846170	−	1.03214i
$517$	−2427.13	−	553.976i	−0.206470	−	0.0471254i
$518$	9742.05	−	12551.1i	0.826334	−	1.06460i
$519$	−13115.2	−	12503.1i	−1.10923	−	1.05747i
$520$	−10020.7	−	17356.3i	−0.845069	−	1.46370i
$521$	8432.51	−	14605.5i	0.709088	−	1.22818i	−0.256108	−	0.966648i	$-0.582440\pi$
$521$	8432.51	−	14605.5i	0.709088	−	1.22818i	0.965196	−	0.261528i	$-0.0842264\pi$
$522$	10770.2	−	12781.0i	0.903066	−	1.07167i
$523$	3134.13	−	234.871i	0.262038	−	0.0196370i	0.0569368	−	0.998378i	$-0.481867\pi$
$523$	3134.13	−	234.871i	0.262038	−	0.0196370i	0.205101	+	0.978741i	$0.434248\pi$
$524$	9677.92	−	12135.7i	0.806835	−	1.01174i
$525$	−1214.95	+	8040.59i	−0.101000	+	0.668419i
$526$	−15355.7	−	19255.5i	−1.27289	−	1.59616i
$527$	−11071.1	−	11931.8i	−0.915112	−	0.986256i
$528$	4326.45	+	4791.06i	0.356600	+	0.394894i
$529$	−1431.02	+	975.655i	−0.117615	+	0.0801887i
$530$	−8947.46	−	1348.61i	−0.733307	−	0.110528i
$531$	−564.789	−	11813.4i	−0.0461577	−	0.965455i
$532$	−44534.7	+	14380.9i	−3.62937	+	1.17198i
$533$	−8143.12	+	16909.4i	−0.661759	+	1.37416i
$534$	−108.339	+	8016.64i	−0.00877958	+	0.649651i
$535$	2897.52	−	3122.78i	0.234151	−	0.252354i
$536$	−25413.2	−	1904.46i	−2.04792	−	0.153470i
$537$	18415.4	−	3942.16i	1.47985	−	0.316791i
$538$		−	16851.5i		−	1.35041i
$539$	−4132.00	−	1497.58i	−0.330200	−	0.119676i
$540$	2824.31	+	15187.8i	0.225072	+	1.21033i
$541$	7850.36	−	20002.4i	0.623870	−	1.58959i	−0.172651	−	0.984983i	$-0.555233\pi$
$541$	7850.36	−	20002.4i	0.623870	−	1.58959i	0.796521	−	0.604611i	$-0.206671\pi$
$542$	−2550.22	+	34030.3i	−0.202106	+	2.69691i
$543$	911.423	−	5538.03i	0.0720312	−	0.437679i
$544$	−6305.93	+	9249.10i	−0.496994	+	0.728956i
$545$	7330.29	+	3530.08i	0.576138	+	0.277454i
$546$	−31759.2	−	7261.14i	−2.48932	−	0.569136i
$547$	12216.4	−	5883.09i	0.954906	−	0.459859i	0.109503	−	0.993987i	$-0.465074\pi$
$547$	12216.4	−	5883.09i	0.954906	−	0.459859i	0.845404	+	0.534128i	$0.179360\pi$
$548$	−6280.23	+	41666.6i	−0.489559	+	3.24801i
$549$	7158.02	−	1431.43i	0.556460	−	0.111279i
$550$	−5385.56	+	811.742i	−0.417529	+	0.0629324i
$551$	−13174.9	+	12224.5i	−1.01864	+	0.945157i
$552$	−27275.0	−	8818.58i	−2.10308	−	0.679971i
$553$	−2004.48	−	1122.42i	−0.154140	−	0.0863112i
$554$	11636.2	+	9279.58i	0.892375	+	0.711645i
$555$	3456.37	+	4456.38i	0.264351	+	0.340834i
$556$	−14923.3	+	48380.2i	−1.13829	+	3.69025i
$557$	12986.5	+	7497.73i	0.987888	+	0.570358i	0.904642	−	0.426171i	$-0.140138\pi$
$557$	12986.5	+	7497.73i	0.987888	+	0.570358i	0.0832460	+	0.996529i	$0.473471\pi$
$558$	22218.7	−	2737.13i	1.68565	−	0.207656i
$559$	−11416.9	+	2605.84i	−0.863837	+	0.197165i
$560$	150.210	+	11426.4i	0.0113349	+	0.862238i
$561$	6152.09	−	2319.08i	0.462997	−	0.174530i
$562$	−34458.6	+	10629.1i	−2.58638	+	0.797794i
$563$	2586.92	+	6591.37i	0.193651	+	0.493416i	0.994412	−	0.105569i	$-0.0336663\pi$
$563$	2586.92	+	6591.37i	0.193651	+	0.493416i	−0.800761	+	0.598985i	$0.795571\pi$
$564$	14298.5	+	10034.3i	1.06751	+	0.749146i
$565$	1284.91	+	4165.59i	0.0956757	+	0.310173i
$566$	−896.669	+	3928.56i	−0.0665898	+	0.291749i
$567$	11406.6	+	7223.18i	0.844852	+	0.535000i
$568$	−647.884	−	2838.56i	−0.0478602	−	0.209689i
$569$	5863.39	−	3385.23i	0.431997	−	0.249413i	−0.268200	−	0.963363i	$-0.586429\pi$
$569$	5863.39	−	3385.23i	0.431997	−	0.249413i	0.700197	+	0.713950i	$0.253096\pi$
$570$	−1487.85	−	24246.6i	−0.109332	−	1.78172i
$571$	−6944.58	−	2142.12i	−0.508970	−	0.156996i	0.0296254	−	0.999561i	$-0.490569\pi$
$571$	−6944.58	−	2142.12i	−0.508970	−	0.156996i	−0.538595	+	0.842565i	$0.681045\pi$
$572$	−1115.05	−	14879.3i	−0.0815078	−	1.08765i
$573$	−533.136	−	47.2058i	−0.0388692	−	0.00344162i
$574$	21270.7	−	14915.4i	1.54673	−	1.08459i
$575$	7788.71	−	6211.29i	0.564890	−	0.450485i
$576$	1886.07	+	5215.88i	0.136434	+	0.377306i
$577$	−1718.54	−	11401.8i	−0.123993	−	0.822639i	−0.961220	−	0.275784i	$-0.911063\pi$
$577$	−1718.54	−	11401.8i	−0.123993	−	0.822639i	0.837227	−	0.546856i	$-0.184175\pi$
$578$	13709.1	+	20107.6i	0.986547	+	1.44700i
$579$	20196.2	−	9391.91i	1.44961	−	0.674118i
$580$	5879.44	+	12208.8i	0.420915	+	0.874039i
$581$	1716.50	−	12501.1i	0.122568	−	0.892654i
$582$	32699.5	−	4477.62i	2.32893	−	0.318906i
$583$	−2992.57	−	2040.30i	−0.212589	−	0.144941i
$584$	26947.8	+	25003.9i	1.90943	+	1.77169i
$585$	5297.17	−	10279.4i	0.374378	−	0.726501i
$586$	−29808.0	−	11698.8i	−2.10129	−	0.824697i
$587$	6899.82			0.485155			0.242577	−	0.970132i	$-0.422007\pi$
$587$	6899.82			0.485155			0.242577	+	0.970132i	$0.422007\pi$
$588$	22871.9	+	20684.6i	1.60412	+	1.45071i
$589$	−24072.7			−1.68404
$590$	13052.7	+	5122.82i	0.910801	+	0.357463i
$591$	−15193.8	+	8500.47i	−1.05751	+	0.591646i
$592$	−12121.6	−	11247.2i	−0.841545	−	0.780840i
$593$	−6448.96	−	4396.83i	−0.446589	−	0.304479i	0.319064	−	0.947733i	$-0.396632\pi$
$593$	−6448.96	−	4396.83i	−0.446589	−	0.304479i	−0.765653	+	0.643254i	$0.777584\pi$
$594$	−2367.82	+	8727.09i	−0.163557	+	0.602823i
$595$	10888.9	+	4109.24i	0.750255	+	0.283130i
$596$	−17500.0	−	36339.0i	−1.20273	−	2.49749i
$597$	−3608.07	−	7758.73i	−0.247351	−	0.531899i
$598$	22482.8	+	32976.3i	1.53744	+	2.25502i
$599$	2724.95	+	18078.8i	0.185874	+	1.23319i	0.865980	+	0.500078i	$0.166695\pi$
$599$	2724.95	+	18078.8i	0.185874	+	1.23319i	−0.680107	+	0.733113i	$0.738067\pi$
$600$	19967.1	+	4842.14i	1.35859	+	0.329466i
$601$	16973.2	−	13535.7i	1.15200	−	0.918691i	0.154407	−	0.988007i	$-0.450653\pi$
$601$	16973.2	−	13535.7i	1.15200	−	0.918691i	0.997595	+	0.0693162i	$0.0220817\pi$
$602$	15551.3	+	4573.95i	1.05286	+	0.309668i
$603$	−7005.57	−	12928.8i	−0.473116	−	0.873133i
$604$	520.466	+	6945.14i	0.0350620	+	0.467870i
$605$	−7095.60	−	2188.70i	−0.476821	−	0.147080i
$606$	24229.4	−	1486.80i	1.62418	−	0.0996650i
$607$	6174.01	−	3564.57i	0.412842	−	0.238355i	−0.279168	−	0.960242i	$-0.590059\pi$
$607$	6174.01	−	3564.57i	0.412842	−	0.238355i	0.692010	+	0.721888i	$0.256725\pi$
$608$	3684.00	+	16140.7i	0.245733	+	1.07663i
$609$	11315.5	+	3494.94i	0.752920	+	0.232549i
$610$	−1925.84	+	8437.64i	−0.127828	+	0.560049i
$611$	−3854.24	−	12495.1i	−0.255198	−	0.827331i
$612$	−46114.8	−	1246.65i	−3.04588	−	0.0823409i
$613$	−2154.76	−	5490.23i	−0.141974	−	0.361743i	0.842146	−	0.539250i	$-0.181292\pi$
$613$	−2154.76	−	5490.23i	−0.141974	−	0.361743i	−0.984120	+	0.177507i	$0.943197\pi$
$614$	−19052.4	+	5876.88i	−1.25227	+	0.386273i
$615$	3252.67	+	8628.75i	0.213269	+	0.565764i
$616$	−4686.08	+	10067.2i	−0.306506	+	0.658470i
$617$	−22623.4	+	5163.64i	−1.47615	+	0.336921i	−0.883458	−	0.468510i	$-0.844791\pi$
$617$	−22623.4	+	5163.64i	−1.47615	+	0.336921i	−0.592690	+	0.805431i	$0.701934\pi$
$618$	10131.4	+	5048.81i	0.659459	+	0.328630i
$619$	8347.65	+	4819.52i	0.542036	+	0.312945i	0.745904	−	0.666054i	$-0.232018\pi$
$619$	8347.65	+	4819.52i	0.542036	+	0.312945i	−0.203868	+	0.978998i	$0.565351\pi$
$620$	−5349.80	+	17343.6i	−0.346538	+	1.12345i
$621$	−4230.69	−	15989.8i	−0.273384	−	1.03325i
$622$	32659.7	+	26045.2i	2.10536	+	1.67897i
$623$	−5260.44	+	2144.79i	−0.338291	+	0.137928i
$624$	−10431.0	+	32262.0i	−0.669189	+	2.06974i
$625$	−1523.29	+	1413.40i	−0.0974903	+	0.0904578i
$626$	−43198.5	+	6511.13i	−2.75808	+	0.415714i
$627$	3674.43	−	9002.65i	0.234039	−	0.573415i
$628$	−2270.45	+	15063.5i	−0.144269	+	0.957162i
$629$	−15173.5	+	7307.15i	−0.961853	+	0.463204i
$630$	−13349.7	+	8832.72i	−0.844228	+	0.558578i
$631$	−22529.2	−	10849.5i	−1.42135	−	0.684486i	−0.443983	−	0.896035i	$-0.646435\pi$
$631$	−22529.2	−	10849.5i	−1.42135	−	0.684486i	−0.977367	+	0.211549i	$0.932149\pi$
$632$	−3269.75	+	4795.84i	−0.205797	+	0.301849i
$633$	339.912	+	55.9411i	0.0213432	+	0.00351257i
$634$	3633.70	−	48488.3i	0.227622	−	3.03741i
$635$	4812.91	−	12263.1i	0.300778	−	0.766371i
$636$	14030.9	+	21189.1i	0.874780	+	1.32107i
$637$	−4039.39	−	22728.2i	−0.251251	−	1.41369i
$638$			7931.93i			0.492207i
$639$	1175.55	−	1200.20i	0.0727764	−	0.0743021i
$640$	−12312.7	−	922.711i	−0.760474	−	0.0569896i
$641$	−8114.30	+	8745.13i	−0.499993	+	0.538864i	−0.931738	−	0.363132i	$-0.881708\pi$
$641$	−8114.30	+	8745.13i	−0.499993	+	0.538864i	0.431745	+	0.901996i	$0.357898\pi$
$642$	−17494.8	−	236.429i	−1.07549	−	0.0145344i
$643$	−1064.72	+	2210.91i	−0.0653008	+	0.135598i	−0.931065	−	0.364854i	$-0.881119\pi$
$643$	−1064.72	+	2210.91i	−0.0653008	+	0.135598i	0.865764	+	0.500453i	$0.166833\pi$
$644$	−3318.17	−	37632.7i	−0.203034	−	2.30270i
$645$	−2944.00	+	4943.65i	−0.179721	+	0.301792i
$646$	71731.6	+	10811.8i	4.36880	+	0.658490i
$647$	−6656.54	+	4538.35i	−0.404475	+	0.275766i	−0.748422	−	0.663223i	$-0.769188\pi$
$647$	−6656.54	+	4538.35i	−0.404475	+	0.275766i	0.343947	+	0.938989i	$0.388236\pi$
$648$	20710.7	−	27105.4i	1.25555	−	1.64321i
$649$	3817.61	+	4114.40i	0.230900	+	0.248851i
$650$	−17835.9	−	22365.5i	−1.07628	−	1.34961i
$651$	7926.23	+	13740.3i	0.477194	+	0.827228i
$652$	−21646.0	+	27143.3i	−1.30019	+	1.63039i
$653$	1201.40	−	90.0323i	0.0719974	−	0.00539546i	−0.0386827	−	0.999252i	$-0.512316\pi$
$653$	1201.40	−	90.0323i	0.0719974	−	0.00539546i	0.110680	+	0.993856i	$0.464697\pi$
$654$	−9417.10	−	32061.4i	−0.563055	−	1.91698i
$655$	−2854.54	+	4944.21i	−0.170284	+	0.294941i
$656$	−13518.9	−	23415.4i	−0.804610	−	1.39363i
$657$	−3727.06	+	20881.5i	−0.221319	+	1.23998i
$658$	−3795.37	+	17697.8i	−0.224861	+	1.04853i
$659$	6988.95	+	1595.18i	0.413127	+	0.0942936i	0.424033	−	0.905647i	$-0.360614\pi$
$659$	6988.95	+	1595.18i	0.413127	+	0.0942936i	−0.0109052	+	0.999941i	$0.503471\pi$
$660$	−5669.53	−	4648.01i	−0.334373	−	0.274127i
$661$	26125.6	−	10253.5i	1.53732	−	0.603354i	0.562589	−	0.826737i	$-0.309805\pi$
$661$	26125.6	−	10253.5i	1.53732	−	0.603354i	0.974731	+	0.223383i	$0.0717101\pi$
$662$	40.6873	−	15.9686i	0.00238875	−	0.000937517i
$663$	26705.4	+	21893.7i	1.56433	+	1.28247i
$664$	−31082.1	−	7094.28i	−1.81659	−	0.414626i
$665$	15408.7	−	7671.55i	0.898530	−	0.447353i
$666$	4069.96	−	22802.6i	0.236798	−	1.32670i
$667$	−7254.25	−	12564.7i	−0.421118	−	0.729398i
$668$	−195.412	+	338.463i	−0.0113184	+	0.0196041i
$669$	2300.69	+	7832.92i	0.132959	+	0.452673i
$670$	17385.3	−	1302.85i	1.00247	−	0.0751247i
$671$	−2159.93	+	2708.46i	−0.124267	+	0.155826i
$672$	7999.81	−	7417.26i	0.459225	−	0.425784i
$673$	−17232.4	−	21608.7i	−0.987011	−	1.23767i	−0.971315	−	0.237796i	$-0.923575\pi$
$673$	−17232.4	−	21608.7i	−0.987011	−	1.23767i	−0.0156959	−	0.999877i	$-0.504996\pi$
$674$	16149.1	+	17404.5i	0.922906	+	0.994656i
$675$	3880.34	+	11202.1i	0.221266	+	0.638770i
$676$	33344.8	−	22734.1i	1.89718	−	1.29347i
$677$	4434.08	+	668.330i	0.251721	+	0.0379409i	0.273691	−	0.961818i	$-0.411756\pi$
$677$	4434.08	+	668.330i	0.251721	+	0.0379409i	−0.0219693	+	0.999759i	$0.506994\pi$
$678$	9160.78	−	15383.1i	0.518905	−	0.871361i
$679$	11958.3	+	20097.5i	0.675871	+	1.13589i
$680$	12758.6	−	26493.6i	0.719516	−	1.49409i
$681$	19065.6	+	257.658i	1.07283	+	0.0144985i
$682$	−7226.23	+	7788.02i	−0.405728	+	0.437271i
$683$	−23806.3	−	1784.04i	−1.33371	−	0.0999477i	−0.611292	−	0.791405i	$-0.709350\pi$
$683$	−23806.3	−	1784.04i	−1.33371	−	0.0999477i	−0.722418	+	0.691457i	$0.756969\pi$
$684$	−47740.4	+	48741.3i	−2.66872	+	2.72466i
$685$		−	15498.2i		−	0.864459i
$686$	−10492.3	+	30182.1i	−0.583960	+	1.67982i
$687$	−9630.40	−	14543.6i	−0.534822	−	0.807677i
$688$	6163.52	−	15704.4i	0.341544	−	0.870239i
$689$	1421.65	−	18970.6i	0.0786073	−	1.04894i
$690$	19349.7	+	3184.48i	1.06758	+	0.175697i
$691$	14304.7	−	20981.2i	0.787521	−	1.15508i	−0.197101	−	0.980383i	$-0.563153\pi$
$691$	14304.7	−	20981.2i	0.787521	−	1.15508i	0.984622	−	0.174698i	$-0.0558951\pi$
$692$	−54362.1	−	26179.4i	−2.98632	−	1.43814i
$693$	−6348.41	+	866.921i	−0.347988	+	0.0475204i
$694$	31782.8	−	15305.8i	1.73841	−	0.837174i
$695$	2775.41	−	18413.6i	0.151478	−	1.00499i
$696$	11307.2	−	27703.6i	0.615803	−	1.50877i
$697$	−27229.7	+	4104.22i	−1.47977	+	0.223039i
$698$	−31683.7	+	29398.2i	−1.71812	+	1.59418i
$699$	−9329.10	+	28854.0i	−0.504805	+	1.56131i
$700$	4387.38	+	26720.2i	0.236896	+	1.44276i
$701$	22652.3	+	18064.6i	1.22049	+	0.973310i	0.999998	−	0.00207880i	$-0.000661704\pi$
$701$	22652.3	+	18064.6i	1.22049	+	0.973310i	0.220494	+	0.975388i	$0.429233\pi$
$702$	−45915.3	+	12148.5i	−2.46861	+	0.653159i
$703$	−7341.60	+	23800.9i	−0.393875	+	1.27691i
$704$	−2279.53	−	1316.09i	−0.122035	−	0.0704571i
$705$	−5750.34	−	2865.58i	−0.307192	−	0.153084i
$706$	−14830.8	+	3385.02i	−0.790599	+	0.180449i
$707$	7666.11	+	15397.7i	0.407799	+	0.819083i
$708$	−13891.1	−	36850.7i	−0.737374	−	1.95612i
$709$	2420.52	−	746.633i	0.128215	−	0.0395492i	−0.229983	−	0.973195i	$-0.573867\pi$
$709$	2420.52	−	746.633i	0.128215	−	0.0395492i	0.358199	+	0.933645i	$0.383391\pi$
$710$	727.692	+	1854.13i	0.0384645	+	0.0980060i
$711$	−3347.98	−	90.5078i	−0.176595	−	0.00477399i
$712$	4230.69	+	13715.6i	0.222685	+	0.721927i
$713$	4324.21	−	18945.6i	0.227129	−	0.995117i
$714$	−17447.3	−	44503.1i	−0.914493	−	2.33262i
$715$	1221.19	+	5350.38i	0.0638739	+	0.279850i
$716$	54308.4	−	31355.0i	2.83464	−	1.63658i
$717$	−7690.86	+	471.936i	−0.400586	+	0.0245813i
$718$	−37995.7	−	11720.1i	−1.97491	−	0.609180i
$719$	2327.67	+	31060.6i	0.120734	+	1.61108i	0.648178	+	0.761488i	$0.275531\pi$
$719$	2327.67	+	31060.6i	0.120734	+	1.61108i	−0.527445	+	0.849589i	$0.676850\pi$
$720$	7936.85	+	14647.4i	0.410818	+	0.758163i
$721$	−494.209	+	8005.59i	−0.0255275	+	0.413514i
$722$	56905.0	−	45380.2i	2.93322	−	2.33917i
$723$	−7706.34	−	1868.83i	−0.396406	−	0.0961308i
$724$	−2785.45	−	18480.2i	−0.142984	−	0.948637i
$725$	5857.98	+	8592.07i	0.300082	+	0.440140i
$726$	12859.9	+	27653.7i	0.657405	+	1.41367i
$727$	−5537.35	−	11498.4i	−0.282488	−	0.586593i	0.710649	−	0.703547i	$-0.248401\pi$
$727$	−5537.35	−	11498.4i	−0.282488	−	0.586593i	−0.993137	+	0.116954i	$0.962687\pi$
$728$	−58099.2	+	5122.74i	−2.95783	+	0.260799i
$729$	19618.3	+	1594.17i	0.996715	+	0.0809920i
$730$	−20778.7	−	14166.7i	−1.05350	−	0.718262i
$731$	−12595.5	−	11686.9i	−0.637292	−	0.591321i
$732$	21212.9	−	11868.0i	1.07111	−	0.599255i
$733$	22041.3	+	8650.56i	1.11066	+	0.435901i	0.848538	−	0.529134i	$-0.177483\pi$
$733$	22041.3	+	8650.56i	1.11066	+	0.435901i	0.262120	+	0.965035i	$0.415578\pi$
$734$	50453.2			2.53714
$735$	−9452.27	−	6269.06i	−0.474357	−	0.314609i
$736$	−13364.7			−0.669333
$737$	6496.08	+	2549.52i	0.324676	+	0.127426i
$738$	17349.0	−	33666.7i	0.865346	−	1.67925i
$739$	11299.8	+	10484.7i	0.562477	+	0.521902i	0.909362	−	0.416005i	$-0.136570\pi$
$739$	11299.8	+	10484.7i	0.562477	+	0.521902i	−0.346886	+	0.937907i	$0.612761\pi$
$740$	15516.2	+	10578.8i	0.770794	+	0.525518i
$741$	50600.2	−	6928.81i	2.50856	−	0.343504i
$742$	−14546.7	+	21950.5i	−0.719711	+	1.08602i
$743$	−7247.88	−	15050.4i	−0.357872	−	0.743129i	0.641847	−	0.766833i	$-0.278168\pi$
$743$	−7247.88	−	15050.4i	−0.357872	−	0.743129i	−0.999719	+	0.0237036i	$0.992454\pi$
$744$	36340.9	−	16899.7i	1.79075	−	0.832761i
$745$	8356.66	+	12257.0i	0.410959	+	0.602766i
$746$	−5119.09	−	33962.9i	−0.251237	−	1.66685i
$747$	−6255.55	−	17299.6i	−0.306397	−	0.847335i
$748$	17116.5	−	13649.9i	0.836685	−	0.667234i
$749$	−4680.59	−	11479.9i	−0.228338	−	0.560035i
$750$	−34711.7	−	3073.50i	−1.68999	−	0.149638i
$751$	857.455	+	11441.9i	0.0416631	+	0.555956i	0.978508	+	0.206210i	$0.0661130\pi$
$751$	857.455	+	11441.9i	0.0416631	+	0.555956i	−0.936845	+	0.349746i	$0.886268\pi$
$752$	18000.9	+	5552.55i	0.872907	+	0.269256i
$753$	−90.1363	−	1468.90i	−0.00436222	−	0.0710885i
$754$	−36080.0	+	20830.8i	−1.74265	+	1.00612i
$755$	−570.009	−	2497.37i	−0.0274765	−	0.120382i
$756$	43539.8	+	11200.8i	2.09461	+	0.538849i
$757$	−6881.26	+	30148.8i	−0.330388	+	1.44752i	0.487993	+	0.872848i	$0.337729\pi$
$757$	−6881.26	+	30148.8i	−0.330388	+	1.44752i	−0.818381	+	0.574677i	$0.805128\pi$
$758$	11812.1	+	38293.9i	0.566009	+	1.83495i
$759$	6425.18	+	4508.99i	0.307272	+	0.215634i
$760$	−15888.5	−	40483.3i	−0.758338	−	1.93221i
$761$	−11564.2	+	3567.08i	−0.550856	+	0.169917i	−0.557674	−	0.830060i	$-0.688306\pi$
$761$	−11564.2	+	3567.08i	−0.550856	+	0.169917i	0.00681785	+	0.999977i	$0.497830\pi$
$762$	−50628.9	+	19084.9i	−2.40694	+	0.907315i
$763$	18316.2	−	15004.7i	0.869056	−	0.711937i
$764$	−1737.53	+	396.581i	−0.0822798	+	0.0187798i
$765$	16840.0	−	2074.52i	0.795885	−	0.0980452i
$766$	−25762.9	−	14874.2i	−1.21521	−	0.701601i
$767$	−8689.41	+	28170.4i	−0.409070	+	1.32617i
$768$	25846.3	+	33324.3i	1.21439	+	1.56574i
$769$	−4122.91	−	3287.91i	−0.193337	−	0.154181i	0.522037	−	0.852923i	$-0.325172\pi$
$769$	−4122.91	−	3287.91i	−0.193337	−	0.154181i	−0.715374	+	0.698742i	$0.753744\pi$
$770$	2143.52	−	7287.88i	0.100321	−	0.341087i
$771$	33186.8	+	10730.0i	1.55018	+	0.501207i
$772$	54368.0	−	50446.2i	2.53465	−	2.35181i
$773$	−5735.65	+	864.510i	−0.266878	+	0.0402254i	−0.281118	−	0.959673i	$-0.590705\pi$
$773$	−5735.65	+	864.510i	−0.266878	+	0.0402254i	0.0142398	+	0.999899i	$0.495467\pi$
$774$	23173.1	−	4634.07i	1.07615	−	0.215204i
$775$	−2075.94	+	13773.0i	−0.0962194	+	0.638374i
$776$	53235.6	−	25636.9i	2.46269	−	1.18597i
$777$	16002.5	−	3646.25i	0.738848	−	0.168351i
$778$	−44888.7	−	21617.3i	−2.06856	−	0.996165i
$779$	−22942.0	+	33649.7i	−1.05517	+	1.54766i
$780$	6253.14	−	37995.6i	0.287049	−	1.74418i
$781$	−59.5808	+	795.050i	−0.00272979	+	0.0364266i
$782$	−21394.3	+	54511.7i	−0.978335	+	2.49276i
$783$	16974.4	−	3156.55i	0.774733	−	0.144069i
$784$	30331.6	+	13636.6i	1.38173	+	0.621203i
$785$		−	5602.95i		−	0.254749i
$786$	22928.6	−	4908.30i	1.04050	−	0.222740i
$787$	−12807.5	−	959.788i	−0.580098	−	0.0434724i	−0.218550	−	0.975826i	$-0.570133\pi$
$787$	−12807.5	−	959.788i	−0.580098	−	0.0434724i	−0.361548	+	0.932353i	$0.617752\pi$
$788$	−39431.7	+	42497.2i	−1.78261	+	1.92120i
$789$	343.791	−	25439.1i	0.0155124	−	1.14785i
$790$	1722.88	−	3577.61i	0.0775917	−	0.161121i
$791$	12568.4	+	1725.74i	0.564958	+	0.0775732i
$792$	773.085	+	16170.2i	0.0346848	+	0.725483i
$793$	−17992.4	−	2711.92i	−0.805710	−	0.121441i
$794$	26529.0	−	18087.1i	1.18574	−	0.808424i
$795$	−6264.49	−	6937.21i	−0.279470	−	0.309481i
$796$	−19379.8	−	20886.5i	−0.862938	−	0.930026i
$797$	−18273.0	−	22913.6i	−0.812123	−	1.01837i	−0.999350	−	0.0360532i	$-0.988521\pi$
$797$	−18273.0	−	22913.6i	−0.812123	−	1.01837i	0.187227	−	0.982317i	$-0.440050\pi$
$798$	−65799.0	−	25852.2i	−2.91887	−	1.14681i
$799$	11962.2	−	15000.1i	0.529651	−	0.664161i
$800$	9552.41	−	715.854i	0.422161	−	0.0316366i
$801$	−5336.80	+	6333.18i	−0.235414	+	0.279365i
$802$	−26020.2	+	45068.4i	−1.14564	+	1.98431i
$803$	−5033.19	−	8717.74i	−0.221192	−	0.383116i
$804$	−35440.5	−	33786.6i	−1.55459	−	1.48204i
$805$	3269.75	+	13504.9i	0.143160	+	0.591286i
$806$	−54402.9	−	12417.1i	−2.37749	−	0.542648i
$807$	11036.4	−	13461.9i	0.481411	−	0.587213i
$808$	40454.6	−	15877.3i	1.76137	−	0.691287i
$809$	2653.52	−	1041.43i	0.115319	−	0.0452593i	−0.306980	−	0.951716i	$-0.599318\pi$
$809$	2653.52	−	1041.43i	0.115319	−	0.0452593i	0.422299	+	0.906457i	$0.361223\pi$
$810$	−11246.4	+	20447.5i	−0.487850	+	0.886979i
$811$	5459.38	+	1246.07i	0.236381	+	0.0539524i	0.339070	−	0.940761i	$-0.389888\pi$
$811$	5459.38	+	1246.07i	0.236381	+	0.0539524i	−0.102689	+	0.994713i	$0.532745\pi$
$812$	39432.1	−	518.368i	1.70418	−	0.0224029i
$813$	−24324.4	+	25515.1i	−1.04932	+	1.10068i
$814$	5496.25	+	9519.78i	0.236663	+	0.409912i
$815$	6384.59	−	11058.4i	0.274408	−	0.475288i
$816$	−47732.7	+	14020.1i	−2.04777	+	0.601471i
$817$	−25340.7	+	1899.02i	−1.08514	+	0.0813199i
$818$	5694.72	−	7140.95i	0.243412	−	0.305229i
$819$	−20615.5	−	26600.3i	−0.879566	−	1.13491i
$820$	19145.0	+	24007.1i	0.815333	+	1.02239i
$821$	−30820.2	−	33216.2i	−1.31015	−	1.41200i	−0.852373	−	0.522934i	$-0.824837\pi$
$821$	−30820.2	−	33216.2i	−1.31015	−	1.41200i	−0.457774	−	0.889069i	$-0.651353\pi$
$822$	−47242.0	+	42660.8i	−2.00457	+	1.81018i
$823$	25432.7	−	17339.7i	1.07719	−	0.734416i	0.111410	−	0.993775i	$-0.464463\pi$
$823$	25432.7	−	17339.7i	1.07719	−	0.734416i	0.965781	+	0.259358i	$0.0835110\pi$
$824$	20039.0	+	3020.39i	0.847198	+	0.127695i
$825$	−4833.90	−	2878.64i	−0.203994	−	0.121481i
$826$	29546.2	−	28146.6i	1.24461	−	1.18565i
$827$	4502.21	−	9348.93i	0.189307	−	0.393100i	−0.784615	−	0.619984i	$-0.787139\pi$
$827$	4502.21	−	9348.93i	0.189307	−	0.393100i	0.973922	+	0.226883i	$0.0728536\pi$
$828$	−29784.5	−	46327.9i	−1.25010	−	1.94445i
$829$	−19534.2	+	21052.9i	−0.818397	+	0.882022i	−0.994753	−	0.102304i	$-0.967378\pi$
$829$	−19534.2	+	21052.9i	−0.818397	+	0.882022i	0.176356	+	0.984326i	$0.443569\pi$
$830$	21749.3	+	1629.88i	0.909552	+	0.0681615i
$831$	3218.27	+	15033.8i	0.134345	+	0.627578i
$832$		−	13825.2i		−	0.576085i
$833$	24214.6	−	23682.4i	1.00719	−	0.985052i
$834$	−63768.7	+	42225.9i	−2.64764	+	1.75319i
$835$	52.5162	−	133.809i	0.00217652	−	0.00554569i
$836$	2419.64	−	32287.9i	0.100102	−	1.33577i
$837$	19542.2	+	12364.9i	0.807020	+	0.510626i
$838$	1479.22	−	2169.62i	0.0609773	−	0.0894372i
$839$	−1489.97	−	717.530i	−0.0613103	−	0.0295255i	0.402977	−	0.915210i	$-0.367975\pi$
$839$	−1489.97	−	717.530i	−0.0613103	−	0.0295255i	−0.464288	+	0.885684i	$0.653690\pi$
$840$	−17875.7	+	22398.5i	−0.734250	+	0.920025i
$841$	−8328.77	+	4010.93i	−0.341497	+	0.164456i
$842$	−1092.32	+	7247.09i	−0.0447077	+	0.296617i
$843$	−34488.6	−	14076.5i	−1.40907	−	0.575114i
$844$	1134.27	−	170.964i	0.0462599	−	0.00697256i
$845$	−10881.1	+	10096.1i	−0.442982	+	0.411027i
$846$	7093.63	+	25416.2i	0.288279	+	1.03289i
$847$	−14488.9	+	16032.9i	−0.587772	+	0.650409i
$848$	21427.1	+	17087.5i	0.867699	+	0.691967i
$849$	−3289.20	+	2551.10i	−0.132962	+	0.103126i
$850$	12371.7	−	40108.2i	0.499232	−	1.61847i
$851$	−17412.9	−	10053.3i	−0.701417	−	0.404963i
$852$	2495.11	−	5006.91i	0.100330	−	0.201331i
$853$	−2189.99	+	499.850i	−0.0879058	+	0.0200639i	−0.266248	−	0.963905i	$-0.585784\pi$
$853$	−2189.99	+	499.850i	−0.0879058	+	0.0200639i	0.178342	+	0.983969i	$0.442927\pi$
$854$	19896.5	+	15443.5i	0.797243	+	0.618812i
$855$	14691.0	−	20343.9i	0.587628	−	0.813741i
$856$	−29931.5	+	9232.66i	−1.19514	+	0.368651i
$857$	1025.46	+	2612.82i	0.0408739	+	0.104145i	0.949853	−	0.312696i	$-0.101232\pi$
$857$	1025.46	+	2612.82i	0.0408739	+	0.104145i	−0.908979	+	0.416842i	$0.863137\pi$
$858$	12947.7	−	18450.1i	0.515183	−	0.734121i
$859$	10071.0	+	32649.4i	0.400022	+	1.29684i	0.901917	+	0.431910i	$0.142160\pi$
$859$	10071.0	+	32649.4i	0.400022	+	1.29684i	−0.501895	+	0.864929i	$0.667364\pi$
$860$	−4263.40	+	18679.2i	−0.169047	+	0.740645i
$861$	26760.6	+	2015.34i	1.05923	+	0.0797708i
$862$	4269.60	+	18706.3i	0.168704	+	0.739141i
$863$	−10384.1	+	5995.27i	−0.409594	+	0.236479i	−0.690615	−	0.723223i	$-0.742660\pi$
$863$	−10384.1	+	5995.27i	−0.409594	+	0.236479i	0.281022	+	0.959701i	$0.409327\pi$
$864$	5299.96	−	14995.2i	0.208690	−	0.590448i
$865$	21206.3	+	6541.27i	0.833566	+	0.257121i
$866$	−357.437	−	4769.67i	−0.0140256	−	0.187159i
$867$	−2217.26	+	25041.4i	−0.0868535	+	0.980912i
$868$	39188.9	+	35414.8i	1.53244	+	1.38486i
$869$	1242.67	−	990.999i	0.0485096	−	0.0386851i
$870$	−4824.26	+	19893.4i	−0.187997	+	0.775229i
$871$	5462.95	+	36244.3i	0.212520	+	1.40998i
$872$	−33699.6	−	49428.3i	−1.30873	−	1.91956i
$873$	29054.6	+	17838.6i	1.12640	+	0.691574i
$874$	37577.5	+	78030.4i	1.45432	+	3.01993i
$875$	−7587.61	−	23497.3i	−0.293152	−	0.907832i
$876$	9582.33	+	69978.5i	0.369585	+	2.69903i
$877$	−5466.70	−	3727.13i	−0.210487	−	0.143508i	0.453488	−	0.891262i	$-0.350180\pi$
$877$	−5466.70	−	3727.13i	−0.210487	−	0.143508i	−0.663975	+	0.747755i	$0.731132\pi$
$878$	−16529.8	−	15337.4i	−0.635370	−	0.589537i
$879$	−16150.5	−	28867.5i	−0.619731	−	1.10771i
$880$	−7359.64	−	2888.44i	−0.281924	−	0.110647i
$881$	4487.16			0.171596			0.0857981	−	0.996313i	$-0.472656\pi$
$881$	4487.16			0.171596			0.0857981	+	0.996313i	$0.472656\pi$
$882$	6909.09	+	46069.1i	0.263765	+	1.75876i
$883$	−43687.4			−1.66500			−0.832501	−	0.554023i	$-0.813092\pi$
$883$	−43687.4			−1.66500			−0.832501	+	0.554023i	$0.813092\pi$
$884$	107041.	+	42010.4i	4.07259	+	1.59837i
$885$	7072.20	+	12640.9i	0.268621	+	0.480134i
$886$	15472.6	+	14356.5i	0.586695	+	0.544373i
$887$	−6587.52	−	4491.29i	−0.249366	−	0.170015i	0.432186	−	0.901784i	$-0.357742\pi$
$887$	−6587.52	−	4491.29i	−0.249366	−	0.170015i	−0.681552	+	0.731770i	$0.738695\pi$
$888$	−5625.80	−	41084.5i	−0.212601	−	1.55260i
$889$	−26443.8	−	27758.8i	−0.997636	−	1.04724i
$890$	−4260.36	−	8846.73i	−0.160458	−	0.333194i
$891$	−7607.08	+	5420.94i	−0.286023	+	0.203825i
$892$	15313.5	+	22460.8i	0.574814	+	0.843098i
$893$	−4229.07	−	28058.0i	−0.158477	−	1.05143i
$894$	14359.2	−	59212.0i	0.537187	−	2.21515i
$895$	−18032.8	+	14380.7i	−0.673487	+	0.537088i
$896$	−17555.9	+	31352.4i	−0.654579	+	1.16899i
$897$	−3636.28	+	41067.7i	−0.135353	+	1.52866i
$898$	3424.15	+	45692.0i	0.127244	+	1.69795i
$899$	19383.8	+	5979.12i	0.719118	+	0.221819i
$900$	23769.9	+	31517.5i	0.880366	+	1.16731i
$901$	24173.0	−	13956.3i	0.893805	−	0.516039i
$902$	3999.57	+	17523.2i	0.147640	+	0.646852i
$903$	9427.64	+	13838.8i	0.347433	+	0.509995i
$904$	7132.51	−	31249.6i	0.262416	−	1.14972i
$905$	2026.10	+	6568.46i	0.0744198	+	0.241263i
$906$	−6043.54	+	8611.87i	−0.221615	+	0.315795i
$907$	14148.4	+	36049.6i	0.517960	+	1.31974i	0.915560	+	0.402182i	$0.131748\pi$
$907$	14148.4	+	36049.6i	0.517960	+	1.31974i	−0.397599	+	0.917559i	$0.630157\pi$
$908$	60670.9	−	18714.5i	2.21744	−	0.683990i
$909$	20329.5	+	14680.6i	0.741791	+	0.535671i
$910$	38779.7	−	9389.18i	1.41268	−	0.342031i
$911$	6068.16	−	1385.02i	0.220689	−	0.0503707i	−0.110747	−	0.993849i	$-0.535324\pi$
$911$	6068.16	−	1385.02i	0.220689	−	0.0503707i	0.331435	+	0.943478i	$0.392467\pi$
$912$	−32816.5	+	65852.8i	−1.19152	+	2.39101i
$913$	7560.54	+	4365.08i	0.274061	+	0.158229i
$914$	−13545.3	+	43912.8i	−0.490196	+	1.58918i
$915$	−7064.43	+	5479.18i	−0.255238	+	0.197963i
$916$	−45411.3	−	36214.3i	−1.63803	−	1.30628i
$917$	9538.99	+	13603.4i	0.343517	+	0.489886i
$918$	−52678.0	−	45621.8i	−1.89394	−	1.64024i
$919$	3595.60	−	3336.23i	0.129062	−	0.119752i	−0.613001	−	0.790082i	$-0.710038\pi$
$919$	3595.60	−	3336.23i	0.129062	−	0.119752i	0.742063	+	0.670330i	$0.233847\pi$
$920$	34715.0	−	5232.45i	1.24404	−	0.187509i
$921$	−19068.9	−	7782.99i	−0.682240	−	0.278456i
$922$	1740.55	−	11547.8i	0.0621713	−	0.412479i
$923$	−3772.92	+	1816.94i	−0.134547	+	0.0647946i
$924$	−19226.1	+	9250.06i	−0.684514	+	0.329334i
$925$	12984.3	+	6252.92i	0.461537	+	0.222265i
$926$	−8704.53	+	12767.2i	−0.308908	+	0.453084i
$927$	4786.97	+	10668.5i	0.169606	+	0.377994i
$928$	1042.54	−	13911.8i	0.0368784	−	0.492108i
$929$	−2129.54	+	5425.98i	−0.0752077	+	0.191626i	−0.963534	−	0.267588i	$-0.913774\pi$
$929$	−2129.54	+	5425.98i	−0.0752077	+	0.191626i	0.888326	+	0.459214i	$0.151869\pi$
$930$	−22860.2	+	15137.4i	−0.806039	+	0.533737i
$931$	−1316.80	−	50075.5i	−0.0463547	−	1.76279i
$932$			100977.i			3.54894i
$933$	9032.80	+	42195.8i	0.316957	+	1.48063i
$934$	25222.1	+	1890.13i	0.883610	+	0.0662174i
$935$	−5476.89	+	5902.69i	−0.191565	+	0.206458i
$936$	−71523.2	+	45982.6i	−2.49766	+	1.60576i
$937$	7244.56	−	15043.5i	0.252582	−	0.524492i	−0.735667	−	0.677343i	$-0.763131\pi$
$937$	7244.56	−	15043.5i	0.252582	−	0.524492i	0.988249	+	0.152851i	$0.0488455\pi$
$938$	17913.8	−	47469.2i	0.623569	−	1.65237i
$939$	−38773.6	−	23090.1i	−1.34753	−	0.802467i
$940$	−21154.8	−	3188.57i	−0.734034	−	0.110638i
$941$	−8852.09	+	6035.26i	−0.306663	+	0.209079i	−0.706867	−	0.707347i	$-0.749892\pi$
$941$	−8852.09	+	6035.26i	−0.306663	+	0.209079i	0.400203	+	0.916426i	$0.368939\pi$
$942$	−17079.1	+	15422.9i	−0.590729	+	0.533444i
$943$	−22361.7	−	24100.2i	−0.772214	−	0.832249i
$944$	−26479.6	−	33204.4i	−0.912965	−	1.14482i
$945$	−16449.2	−	1686.90i	−0.566234	−	0.0580687i
$946$	−6992.47	+	8768.28i	−0.240322	+	0.301355i
$947$	−47706.6	+	3575.12i	−1.63702	+	0.122678i	−0.861196	−	0.508273i	$-0.830284\pi$
$947$	−47706.6	+	3575.12i	−1.63702	+	0.122678i	−0.775823	+	0.630951i	$0.782665\pi$
$948$	−10700.4	+	3142.92i	−0.366595	+	0.107677i
$949$	26436.3	−	45789.0i	0.904277	−	1.56625i
$950$	−31038.0	−	53759.4i	−1.06001	−	1.83598i
$951$	34658.7	−	36355.3i	1.18179	−	1.23965i
$952$	−54230.9	−	66199.3i	−1.84626	−	2.25371i
$953$	41846.8	+	9551.27i	1.42241	+	0.324655i	0.863404	−	0.504512i	$-0.168328\pi$
$953$	41846.8	+	9551.27i	1.42241	+	0.324655i	0.559001	+	0.829167i	$0.311185\pi$
$954$	−3902.38	+	38191.2i	−0.132436	+	1.29611i
$955$	610.190	−	239.482i	0.0206757	−	0.00811462i
$956$	−23884.1	+	9373.81i	−0.808019	+	0.317124i
$957$	−5194.77	+	6336.46i	−0.175468	+	0.214032i
$958$	74782.9	+	17068.7i	2.52205	+	0.575642i
$959$	−40890.0	−	19033.6i	−1.37686	−	0.640903i
$960$	−4916.63	−	4687.19i	−0.165295	−	0.157582i
$961$	−1310.50	−	2269.86i	−0.0439899	−	0.0761927i
$962$	−28868.4	+	50001.6i	−0.967522	+	1.67580i
$963$	−13820.9	−	11646.5i	−0.462485	−	0.389724i
$964$	−26331.0	+	1973.24i	−0.879736	+	0.0659271i
$965$	−17008.0	+	21327.3i	−0.567364	+	0.711451i
$966$	32165.6	−	47141.0i	1.07134	−	1.57012i
$967$	−12612.2	−	15815.2i	−0.419421	−	0.525938i	0.526569	−	0.850132i	$-0.323478\pi$
$967$	−12612.2	−	15815.2i	−0.419421	−	0.525938i	−0.945990	+	0.324195i	$0.894907\pi$
$968$	37136.7	+	40023.8i	1.23308	+	1.32894i
$969$	50222.3	+	55615.5i	1.66499	+	1.84379i
$970$	−33398.1	+	22770.4i	−1.10551	+	0.753726i
$971$	39020.8	+	5881.44i	1.28964	+	0.194382i	0.757812	−	0.652473i	$-0.226268\pi$
$971$	39020.8	+	5881.44i	1.28964	+	0.194382i	0.531825	+	0.846854i	$0.321506\pi$
$972$	63791.4	−	15046.2i	2.10505	−	0.496509i
$973$	−45173.6	−	29936.7i	−1.48839	−	0.986359i
$974$	−8806.28	+	18286.4i	−0.289704	+	0.601576i
$975$	399.319	−	29547.9i	0.0131163	−	0.970554i
$976$	17829.5	−	19215.7i	0.584743	−	0.630203i
$977$	59435.6	+	4454.08i	1.94628	+	0.145853i	0.989457	−	0.144829i	$-0.0462633\pi$
$977$	59435.6	+	4454.08i	1.94628	+	0.145853i	0.956820	+	0.290682i	$0.0938823\pi$
$978$	−51283.1	+	10978.1i	−1.67674	+	0.358938i
$979$		−	3930.38i		−	0.128310i
$980$	−36370.4	−	10179.8i	−1.18552	−	0.331818i
$981$	13474.8	−	31779.9i	0.438549	−	1.03431i
$982$	−15145.5	+	38590.1i	−0.492171	+	1.25403i
$983$	936.615	−	12498.3i	0.0303900	−	0.405527i	−0.961177	−	0.275932i	$-0.911013\pi$
$983$	936.615	−	12498.3i	0.0303900	−	0.405527i	0.991567	−	0.129594i	$-0.0413675\pi$
$984$	11010.8	−	66904.4i	0.356719	−	2.16751i
$985$	12011.4	−	17617.6i	0.388545	−	0.569890i
$986$	−55074.3	−	26522.4i	−1.77883	−	0.856638i
$987$	−14622.6	+	11652.3i	−0.471572	+	0.375782i
$988$	153223.	−	73788.1i	4.93386	−	2.37602i
$989$	3057.42	−	20284.6i	0.0983015	−	0.652188i
$990$	−2171.69	−	10859.7i	−0.0697180	−	0.348632i
$991$	49878.0	−	7517.91i	1.59882	−	0.240983i	0.711686	−	0.702498i	$-0.247932\pi$
$991$	49878.0	−	7517.91i	1.59882	−	0.240983i	0.887132	+	0.461515i	$0.152694\pi$
$992$	13697.7	−	12709.6i	0.438409	−	0.406784i
$993$	42.9613	+	13.8903i	0.00137295	+	0.000443903i
$994$	5785.59	+	357.162i	0.184615	+	0.0113969i
$995$	8193.27	+	6533.92i	0.261049	+	0.208180i
$996$	−37541.7	−	48403.4i	−1.19433	−	1.53988i
$997$	−3705.19	+	12011.9i	−0.117698	+	0.381567i	−0.995183	−	0.0980373i	$-0.968744\pi$
$997$	−3705.19	+	12011.9i	−0.117698	+	0.381567i	0.877485	+	0.479604i	$0.159220\pi$
$998$	29.6967	+	17.1454i	0.000941918	+	0.000543816i
$999$	18185.2	−	15550.5i	0.575929	−	0.492487i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	147.4.o.a.101.51	yes	648
3.2	odd	2	inner	147.4.o.a.101.4	✓	648
49.33	odd	42	inner	147.4.o.a.131.4	yes	648
147.131	even	42	inner	147.4.o.a.131.51	yes	648

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
147.4.o.a.101.4	✓	648	3.2	odd	2	inner
147.4.o.a.101.51	yes	648	1.1	even	1	trivial
147.4.o.a.131.4	yes	648	49.33	odd	42	inner
147.4.o.a.131.51	yes	648	147.131	even	42	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 147 = 3 \cdot 7^{2} \)
Weight:	\( k \)	\(=\)	\( 4 \)
Character orbit:	\([\chi]\)	\(=\)	147.o (of order \(42\), degree \(12\), minimal)

\(f(q)\)	\(=\)	\(q+(4.68244 + 1.83772i) q^{2} +(2.53703 + 4.53470i) q^{3} +(12.6836 + 11.7687i) q^{4} +(-5.25809 - 3.58491i) q^{5} +(3.54598 + 25.8958i) q^{6} +(-15.9159 + 9.47016i) q^{7} +(20.3027 + 42.1591i) q^{8} +(-14.1270 + 23.0093i) q^{9} +O(q^{10})\)	\(q+(4.68244 + 1.83772i) q^{2} +(2.53703 + 4.53470i) q^{3} +(12.6836 + 11.7687i) q^{4} +(-5.25809 - 3.58491i) q^{5} +(3.54598 + 25.8958i) q^{6} +(-15.9159 + 9.47016i) q^{7} +(20.3027 + 42.1591i) q^{8} +(-14.1270 + 23.0093i) q^{9} +(-18.0327 - 26.4491i) q^{10} +(-1.90974 - 12.6703i) q^{11} +(-21.1887 + 87.3739i) q^{12} +(52.6182 - 41.9616i) q^{13} +(-91.9289 + 15.0944i) q^{14} +(2.91653 - 32.9389i) q^{15} +(7.24557 + 96.6854i) q^{16} +(94.3605 + 29.1063i) q^{17} +(-108.433 + 81.7784i) q^{18} +(126.477 - 73.0215i) q^{19} +(-24.5021 - 107.351i) q^{20} +(-83.3234 - 48.1477i) q^{21} +(14.3423 - 62.8377i) q^{22} +(34.7498 + 112.656i) q^{23} +(-139.670 + 199.026i) q^{24} +(-30.8716 - 78.6596i) q^{25} +(323.496 - 99.7852i) q^{26} +(-140.181 - 5.68610i) q^{27} +(-313.323 - 67.1934i) q^{28} +(-119.979 + 27.3843i) q^{29} +(74.1890 - 148.875i) q^{30} +(-142.750 - 82.4166i) q^{31} +(-33.4141 + 108.326i) q^{32} +(52.6110 - 40.8051i) q^{33} +(388.348 + 309.697i) q^{34} +(117.637 + 7.26208i) q^{35} +(-449.971 + 125.586i) q^{36} +(-125.021 + 116.003i) q^{37} +(726.415 - 109.489i) q^{38} +(323.777 + 132.150i) q^{39} +(44.3827 - 294.460i) q^{40} +(-251.249 + 120.995i) q^{41} +(-301.675 - 378.574i) q^{42} +(-156.770 - 75.4965i) q^{43} +(124.891 - 183.181i) q^{44} +(156.767 - 70.3414i) q^{45} +(-44.3168 + 591.367i) q^{46} +(70.9828 - 180.861i) q^{47} +(-420.057 + 278.150i) q^{48} +(163.632 - 301.452i) q^{49} -425.053i q^{50} +(107.407 + 501.740i) q^{51} +(1161.22 + 87.0217i) q^{52} +(192.262 - 207.209i) q^{53} +(-645.939 - 284.238i) q^{54} +(-35.3804 + 73.4681i) q^{55} +(-722.390 - 478.730i) q^{56} +(652.006 + 388.277i) q^{57} +(-612.118 - 92.2619i) q^{58} +(-361.919 + 246.752i) q^{59} +(424.640 - 383.461i) q^{60} +(-183.892 - 198.188i) q^{61} +(-516.959 - 648.246i) q^{62} +(6.94135 - 499.999i) q^{63} +(128.079 - 160.606i) q^{64} +(-427.100 + 32.0067i) q^{65} +(321.337 - 94.3831i) q^{66} +(-272.311 + 471.656i) q^{67} +(854.289 + 1479.67i) q^{68} +(-422.700 + 443.392i) q^{69} +(537.483 + 250.189i) q^{70} +(-60.6621 - 13.8457i) q^{71} +(-1256.87 - 128.427i) q^{72} +(731.305 - 287.016i) q^{73} +(-798.585 + 313.421i) q^{74} +(278.375 - 339.555i) q^{75} +(2463.55 + 562.290i) q^{76} +(150.385 + 183.574i) q^{77} +(1273.21 + 1213.80i) q^{78} +(62.0223 + 107.426i) q^{79} +(308.510 - 534.355i) q^{80} +(-329.858 - 650.103i) q^{81} +(-1398.81 + 104.827i) q^{82} +(-424.801 + 532.684i) q^{83} +(-490.208 - 1591.30i) q^{84} +(-391.813 - 491.318i) q^{85} +(-595.326 - 641.609i) q^{86} +(-428.569 - 474.592i) q^{87} +(495.396 - 337.755i) q^{88} +(303.313 + 45.7170i) q^{89} +(863.321 - 41.2748i) q^{90} +(-440.084 + 1166.16i) q^{91} +(-885.062 + 1837.85i) q^{92} +(11.5739 - 856.420i) q^{93} +(664.745 - 716.425i) q^{94} +(-926.803 - 69.4543i) q^{95} +(-575.997 + 123.303i) q^{96} -1262.73i q^{97} +(1320.18 - 1110.82i) q^{98} +(318.515 + 135.051i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 648 q - 11 q^{3} - 234 q^{4} + 14 q^{6} + 28 q^{7} - 125 q^{9}+O(q^{10}) \) 648 * q - 11 * q^3 - 234 * q^4 + 14 * q^6 + 28 * q^7 - 125 * q^9	\( 648 q - 11 q^{3} - 234 q^{4} + 14 q^{6} + 28 q^{7} - 125 q^{9} - 58 q^{10} - 207 q^{12} - 28 q^{13} - 148 q^{15} + 726 q^{16} - 81 q^{18} - 342 q^{19} - 371 q^{21} - 156 q^{22} - 428 q^{24} + 1250 q^{25} - 56 q^{27} + 700 q^{28} + 389 q^{30} + 888 q^{31} + 841 q^{33} - 532 q^{34} - 38 q^{36} + 1178 q^{37} - 180 q^{39} + 194 q^{40} + 56 q^{42} + 1296 q^{43} - 617 q^{45} - 6756 q^{46} - 2380 q^{49} + 787 q^{51} - 5204 q^{52} + 4144 q^{54} - 5698 q^{55} + 863 q^{57} - 3066 q^{58} + 2820 q^{60} + 1492 q^{61} - 1085 q^{63} + 7648 q^{64} + 2568 q^{66} + 142 q^{67} - 5474 q^{69} + 5180 q^{70} + 1278 q^{72} + 2876 q^{73} - 1754 q^{75} + 7644 q^{76} + 936 q^{78} - 992 q^{79} + 911 q^{81} + 1022 q^{82} + 7868 q^{84} + 2672 q^{85} - 196 q^{87} + 370 q^{88} - 18767 q^{90} - 2254 q^{91} - 11096 q^{93} - 3628 q^{94} - 24248 q^{96} + 10982 q^{99}+O(q^{100}) \) 648 * q - 11 * q^3 - 234 * q^4 + 14 * q^6 + 28 * q^7 - 125 * q^9 - 58 * q^10 - 207 * q^12 - 28 * q^13 - 148 * q^15 + 726 * q^16 - 81 * q^18 - 342 * q^19 - 371 * q^21 - 156 * q^22 - 428 * q^24 + 1250 * q^25 - 56 * q^27 + 700 * q^28 + 389 * q^30 + 888 * q^31 + 841 * q^33 - 532 * q^34 - 38 * q^36 + 1178 * q^37 - 180 * q^39 + 194 * q^40 + 56 * q^42 + 1296 * q^43 - 617 * q^45 - 6756 * q^46 - 2380 * q^49 + 787 * q^51 - 5204 * q^52 + 4144 * q^54 - 5698 * q^55 + 863 * q^57 - 3066 * q^58 + 2820 * q^60 + 1492 * q^61 - 1085 * q^63 + 7648 * q^64 + 2568 * q^66 + 142 * q^67 - 5474 * q^69 + 5180 * q^70 + 1278 * q^72 + 2876 * q^73 - 1754 * q^75 + 7644 * q^76 + 936 * q^78 - 992 * q^79 + 911 * q^81 + 1022 * q^82 + 7868 * q^84 + 2672 * q^85 - 196 * q^87 + 370 * q^88 - 18767 * q^90 - 2254 * q^91 - 11096 * q^93 - 3628 * q^94 - 24248 * q^96 + 10982 * q^99

Introduction

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