LMFDB - Embedded newform 429.2.bj.b.73.9

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [429,2,Mod(73,429)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(429, base_ring=CyclotomicField(20))

chi = DirichletCharacter(H, H._module([0, 14, 5]))

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

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

chi := DirichletCharacter("429.73");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 429 = 3 \cdot 11 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	429.bj (of order $20$, degree $8$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$3.42558224671$
Analytic rank:	$0$
Dimension:	$112$
Relative dimension:	$14$ over $\Q(\zeta_{20})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label			73.9
Character	$\chi$	$=$	429.73
Dual form			429.2.bj.b.382.9

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(1.10738 - 0.175392i) q^{2} +(-0.309017 + 0.951057i) q^{3} +(-0.706578 + 0.229581i) q^{4} +(2.85202 + 0.451715i) q^{5} +(-0.175392 + 1.10738i) q^{6} +(-1.47375 + 2.89241i) q^{7} +(-2.74016 + 1.39618i) q^{8} +(-0.809017 - 0.587785i) q^{9} +O(q^{10})$	\(q+(1.10738 - 0.175392i) q^{2} +(-0.309017 + 0.951057i) q^{3} +(-0.706578 + 0.229581i) q^{4} +(2.85202 + 0.451715i) q^{5} +(-0.175392 + 1.10738i) q^{6} +(-1.47375 + 2.89241i) q^{7} +(-2.74016 + 1.39618i) q^{8} +(-0.809017 - 0.587785i) q^{9} +3.23751 q^{10} +(-0.169103 + 3.31231i) q^{11} -0.742940i q^{12} +(-3.10768 - 1.82820i) q^{13} +(-1.12471 + 3.46149i) q^{14} +(-1.31093 + 2.57284i) q^{15} +(-1.58742 + 1.15333i) q^{16} +(5.32169 - 3.86643i) q^{17} +(-0.998985 - 0.509008i) q^{18} +(0.432631 + 0.849086i) q^{19} +(-2.11888 + 0.335598i) q^{20} +(-2.29543 - 2.29543i) q^{21} +(0.393692 + 3.69766i) q^{22} +7.44508i q^{23} +(-0.481090 - 3.03749i) q^{24} +(3.17468 + 1.03152i) q^{25} +(-3.76204 - 1.47946i) q^{26} +(0.809017 - 0.587785i) q^{27} +(0.377281 - 2.38206i) q^{28} +(6.15152 - 1.99875i) q^{29} +(-1.00044 + 3.07905i) q^{30} +(0.0614570 + 0.388024i) q^{31} +(2.79360 - 2.79360i) q^{32} +(-3.09794 - 1.18439i) q^{33} +(5.21500 - 5.21500i) q^{34} +(-5.50972 + 7.58348i) q^{35} +(0.706578 + 0.229581i) q^{36} +(-0.894170 - 0.455602i) q^{37} +(0.628011 + 0.864383i) q^{38} +(2.69905 - 2.39063i) q^{39} +(-8.44565 + 2.74416i) q^{40} +(2.79741 + 5.49022i) q^{41} +(-2.94452 - 2.13932i) q^{42} +9.15041 q^{43} +(-0.640960 - 2.37923i) q^{44} +(-2.04182 - 2.04182i) q^{45} +(1.30581 + 8.24456i) q^{46} +(-5.79678 - 11.3768i) q^{47} +(-0.606341 - 1.86612i) q^{48} +(-2.07957 - 2.86228i) q^{49} +(3.69651 + 0.585470i) q^{50} +(2.03270 + 6.25602i) q^{51} +(2.61554 + 0.578304i) q^{52} +(0.0405645 + 0.0294718i) q^{53} +(0.792799 - 0.792799i) q^{54} +(-1.97851 + 9.37039i) q^{55} -9.98327i q^{56} +(-0.941219 + 0.149074i) q^{57} +(6.46153 - 3.29231i) q^{58} +(-4.66342 - 2.37613i) q^{59} +(0.335598 - 2.11888i) q^{60} +(1.06487 + 1.46567i) q^{61} +(0.136113 + 0.418912i) q^{62} +(2.89241 - 1.47375i) q^{63} +(4.91027 - 6.75840i) q^{64} +(-8.03733 - 6.61786i) q^{65} +(-3.63834 - 0.768215i) q^{66} +(4.60462 + 4.60462i) q^{67} +(-2.87253 + 3.95369i) q^{68} +(-7.08069 - 2.30066i) q^{69} +(-4.77129 + 9.36418i) q^{70} +(-3.22027 - 0.510040i) q^{71} +(3.03749 + 0.481090i) q^{72} +(4.23476 - 8.31118i) q^{73} +(-1.07010 - 0.347696i) q^{74} +(-1.96206 + 2.70055i) q^{75} +(-0.500621 - 0.500621i) q^{76} +(-9.33133 - 5.37065i) q^{77} +(2.56958 - 3.12074i) q^{78} +(8.36338 - 11.5112i) q^{79} +(-5.04833 + 2.57225i) q^{80} +(0.309017 + 0.951057i) q^{81} +(4.06074 + 5.58913i) q^{82} +(2.73460 - 17.2656i) q^{83} +(2.14888 + 1.09491i) q^{84} +(16.9241 - 8.62325i) q^{85} +(10.1330 - 1.60491i) q^{86} +6.46809i q^{87} +(-4.16121 - 9.31234i) q^{88} +(-3.38500 + 3.38500i) q^{89} +(-2.61920 - 1.90296i) q^{90} +(9.86787 - 6.29435i) q^{91} +(-1.70925 - 5.26053i) q^{92} +(-0.388024 - 0.0614570i) q^{93} +(-8.41466 - 11.5818i) q^{94} +(0.850326 + 2.61703i) q^{95} +(1.79360 + 3.52014i) q^{96} +(1.24366 + 7.85215i) q^{97} +(-2.80490 - 2.80490i) q^{98} +(2.08373 - 2.58032i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 112 q + 28 q^{3} + 6 q^{5} - 28 q^{9}+O(q^{10}) $ 112 * q + 28 * q^3 + 6 * q^5 - 28 * q^9	$ 112 q + 28 q^{3} + 6 q^{5} - 28 q^{9} - 14 q^{11} + 10 q^{13} + 12 q^{14} + 4 q^{15} - 48 q^{16} - 2 q^{20} + 32 q^{22} + 30 q^{24} - 46 q^{26} + 28 q^{27} - 20 q^{29} - 24 q^{31} - 16 q^{33} - 16 q^{34} - 20 q^{35} + 12 q^{37} + 10 q^{39} - 40 q^{40} - 10 q^{41} + 28 q^{42} + 24 q^{44} - 4 q^{45} - 20 q^{46} - 62 q^{47} - 92 q^{48} - 90 q^{50} + 110 q^{52} + 68 q^{53} + 32 q^{55} - 30 q^{57} - 56 q^{58} + 16 q^{59} + 2 q^{60} + 20 q^{61} + 8 q^{66} + 12 q^{67} + 60 q^{68} - 196 q^{70} - 52 q^{71} + 30 q^{72} - 10 q^{73} - 120 q^{74} - 84 q^{78} + 40 q^{79} - 56 q^{80} - 28 q^{81} + 110 q^{83} - 30 q^{84} - 40 q^{85} + 18 q^{86} - 96 q^{89} - 44 q^{91} + 80 q^{92} + 24 q^{93} - 20 q^{94} + 100 q^{96} + 18 q^{97} + 6 q^{99}+O(q^{100}) $ 112 * q + 28 * q^3 + 6 * q^5 - 28 * q^9 - 14 * q^11 + 10 * q^13 + 12 * q^14 + 4 * q^15 - 48 * q^16 - 2 * q^20 + 32 * q^22 + 30 * q^24 - 46 * q^26 + 28 * q^27 - 20 * q^29 - 24 * q^31 - 16 * q^33 - 16 * q^34 - 20 * q^35 + 12 * q^37 + 10 * q^39 - 40 * q^40 - 10 * q^41 + 28 * q^42 + 24 * q^44 - 4 * q^45 - 20 * q^46 - 62 * q^47 - 92 * q^48 - 90 * q^50 + 110 * q^52 + 68 * q^53 + 32 * q^55 - 30 * q^57 - 56 * q^58 + 16 * q^59 + 2 * q^60 + 20 * q^61 + 8 * q^66 + 12 * q^67 + 60 * q^68 - 196 * q^70 - 52 * q^71 + 30 * q^72 - 10 * q^73 - 120 * q^74 - 84 * q^78 + 40 * q^79 - 56 * q^80 - 28 * q^81 + 110 * q^83 - 30 * q^84 - 40 * q^85 + 18 * q^86 - 96 * q^89 - 44 * q^91 + 80 * q^92 + 24 * q^93 - 20 * q^94 + 100 * q^96 + 18 * q^97 + 6 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/429\mathbb{Z}\right)^\times$.

$n$	$67$	$79$	$287$
$\chi(n)$	$e\left(\frac{1}{4}\right)$	$e\left(\frac{7}{10}\right)$	$1$

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 $

$2$	1.10738	−	0.175392i	0.783038	−	0.124021i	0.247900	−	0.968786i	$-0.420260\pi$
$2$	1.10738	−	0.175392i	0.783038	−	0.124021i	0.535138	+	0.844765i	$0.320260\pi$
$3$	−0.309017	+	0.951057i	−0.178411	+	0.549093i
$3$	−0.309017	+	0.951057i	−0.178411	+	0.549093i
$4$	−0.706578	+	0.229581i	−0.353289	+	0.114791i
$5$	2.85202	+	0.451715i	1.27546	+	0.202013i	0.757185	−	0.653200i	$-0.226574\pi$
$5$	2.85202	+	0.451715i	1.27546	+	0.202013i	0.518276	+	0.855213i	$0.326574\pi$
$6$	−0.175392	+	1.10738i	−0.0716036	+	0.452087i
$7$	−1.47375	+	2.89241i	−0.557027	+	1.09323i	0.425124	+	0.905135i	$0.360230\pi$
$7$	−1.47375	+	2.89241i	−0.557027	+	1.09323i	−0.982151	+	0.188092i	$0.939770\pi$
$8$	−2.74016	+	1.39618i	−0.968791	+	0.493624i
$9$	−0.809017	−	0.587785i	−0.269672	−	0.195928i
$10$	3.23751			1.02379
$11$	−0.169103	+	3.31231i	−0.0509863	+	0.998699i
$11$	−0.169103	+	3.31231i	−0.0509863	+	0.998699i
$12$		−	0.742940i		−	0.214468i
$13$	−3.10768	−	1.82820i	−0.861915	−	0.507052i
$13$	−3.10768	−	1.82820i	−0.861915	−	0.507052i
$14$	−1.12471	+	3.46149i	−0.300590	+	0.925121i
$15$	−1.31093	+	2.57284i	−0.338480	+	0.664305i
$16$	−1.58742	+	1.15333i	−0.396855	+	0.288332i
$17$	5.32169	−	3.86643i	1.29070	−	0.937747i	0.290879	−	0.956760i	$-0.406052\pi$
$17$	5.32169	−	3.86643i	1.29070	−	0.937747i	0.999819	+	0.0190124i	$0.00605220\pi$
$18$	−0.998985	−	0.509008i	−0.235463	−	0.119974i
$19$	0.432631	+	0.849086i	0.0992523	+	0.194794i	0.935293	−	0.353873i	$-0.115136\pi$
$19$	0.432631	+	0.849086i	0.0992523	+	0.194794i	−0.836041	+	0.548667i	$0.815136\pi$
$20$	−2.11888	+	0.335598i	−0.473796	+	0.0750419i
$21$	−2.29543	−	2.29543i	−0.500903	−	0.500903i
$22$	0.393692	+	3.69766i	0.0839355	+	0.788343i
$23$			7.44508i			1.55241i	0.630482	+	0.776204i	$0.282857\pi$
$23$			7.44508i			1.55241i	−0.630482	+	0.776204i	$0.717143\pi$
$24$	−0.481090	−	3.03749i	−0.0982022	−	0.620024i
$25$	3.17468	+	1.03152i	0.634937	+	0.206303i
$26$	−3.76204	−	1.47946i	−0.737798	−	0.290146i
$27$	0.809017	−	0.587785i	0.155695	−	0.113119i
$28$	0.377281	−	2.38206i	0.0712994	−	0.450166i
$29$	6.15152	−	1.99875i	1.14231	−	0.371159i	0.324068	−	0.946034i	$-0.394949\pi$
$29$	6.15152	−	1.99875i	1.14231	−	0.371159i	0.818241	+	0.574875i	$0.194949\pi$
$30$	−1.00044	+	3.07905i	−0.182655	+	0.562155i
$31$	0.0614570	+	0.388024i	0.0110380	+	0.0696912i	0.992592	−	0.121491i	$-0.0387677\pi$
$31$	0.0614570	+	0.388024i	0.0110380	+	0.0696912i	−0.981554	+	0.191183i	$0.938768\pi$
$32$	2.79360	−	2.79360i	0.493844	−	0.493844i
$33$	−3.09794	−	1.18439i	−0.539282	−	0.206175i
$34$	5.21500	−	5.21500i	0.894366	−	0.894366i
$35$	−5.50972	+	7.58348i	−0.931313	+	1.28184i
$36$	0.706578	+	0.229581i	0.117763	+	0.0382635i
$37$	−0.894170	−	0.455602i	−0.147001	−	0.0749006i	0.378943	−	0.925420i	$-0.376288\pi$
$37$	−0.894170	−	0.455602i	−0.147001	−	0.0749006i	−0.525944	+	0.850519i	$0.676288\pi$
$38$	0.628011	+	0.864383i	0.101877	+	0.140221i
$39$	2.69905	−	2.39063i	0.432194	−	0.382808i
$40$	−8.44565	+	2.74416i	−1.33537	+	0.433890i
$41$	2.79741	+	5.49022i	0.436881	+	0.857428i	0.999528	+	0.0307301i	$0.00978325\pi$
$41$	2.79741	+	5.49022i	0.436881	+	0.857428i	−0.562646	+	0.826698i	$0.690217\pi$
$42$	−2.94452	−	2.13932i	−0.454349	−	0.330104i
$43$	9.15041			1.39542			0.697712	−	0.716378i	$-0.254201\pi$
$43$	9.15041			1.39542			0.697712	+	0.716378i	$0.254201\pi$
$44$	−0.640960	−	2.37923i	−0.0966283	−	0.358682i
$45$	−2.04182	−	2.04182i	−0.304377	−	0.304377i
$46$	1.30581	+	8.24456i	0.192531	+	1.21559i
$47$	−5.79678	−	11.3768i	−0.845547	−	1.65948i	−0.747466	−	0.664300i	$-0.768730\pi$
$47$	−5.79678	−	11.3768i	−0.845547	−	1.65948i	−0.0980808	−	0.995178i	$-0.531270\pi$
$48$	−0.606341	−	1.86612i	−0.0875177	−	0.269352i
$49$	−2.07957	−	2.86228i	−0.297081	−	0.408897i
$50$	3.69651	+	0.585470i	0.522766	+	0.0827979i
$51$	2.03270	+	6.25602i	0.284635	+	0.876018i
$52$	2.61554	+	0.578304i	0.362710	+	0.0801964i
$53$	0.0405645	+	0.0294718i	0.00557196	+	0.00404827i	0.590568	−	0.806988i	$-0.298904\pi$
$53$	0.0405645	+	0.0294718i	0.00557196	+	0.00404827i	−0.584996	+	0.811036i	$0.698904\pi$
$54$	0.792799	−	0.792799i	0.107886	−	0.107886i
$55$	−1.97851	+	9.37039i	−0.266782	+	1.26350i
$56$		−	9.98327i		−	1.33407i
$57$	−0.941219	+	0.149074i	−0.124667	+	0.0197454i
$58$	6.46153	−	3.29231i	0.848440	−	0.432302i
$59$	−4.66342	−	2.37613i	−0.607126	−	0.309346i	0.123267	−	0.992374i	$-0.460663\pi$
$59$	−4.66342	−	2.37613i	−0.607126	−	0.309346i	−0.730393	+	0.683027i	$0.760663\pi$
$60$	0.335598	−	2.11888i	0.0433255	−	0.273546i
$61$	1.06487	+	1.46567i	0.136343	+	0.187660i	0.871729	−	0.489989i	$-0.162999\pi$
$61$	1.06487	+	1.46567i	0.136343	+	0.187660i	−0.735386	+	0.677648i	$0.762999\pi$
$62$	0.136113	+	0.418912i	0.0172864	+	0.0532019i
$63$	2.89241	−	1.47375i	0.364409	−	0.185676i
$64$	4.91027	−	6.75840i	0.613784	−	0.844801i
$65$	−8.03733	−	6.61786i	−0.996908	−	0.820844i
$66$	−3.63834	−	0.768215i	−0.447848	−	0.0945607i
$67$	4.60462	+	4.60462i	0.562544	+	0.562544i	0.930029	−	0.367485i	$-0.119781\pi$
$67$	4.60462	+	4.60462i	0.562544	+	0.562544i	−0.367485	+	0.930029i	$0.619781\pi$
$68$	−2.87253	+	3.95369i	−0.348345	+	0.479456i
$69$	−7.08069	−	2.30066i	−0.852415	−	0.276967i
$70$	−4.77129	+	9.36418i	−0.570278	+	1.11923i
$71$	−3.22027	−	0.510040i	−0.382175	−	0.0605306i	−0.0376089	−	0.999293i	$-0.511974\pi$
$71$	−3.22027	−	0.510040i	−0.382175	−	0.0605306i	−0.344567	+	0.938762i	$0.611974\pi$
$72$	3.03749	+	0.481090i	0.357971	+	0.0566971i
$73$	4.23476	−	8.31118i	0.495641	−	0.972750i	−0.498726	−	0.866760i	$-0.666199\pi$
$73$	4.23476	−	8.31118i	0.495641	−	0.972750i	0.994367	−	0.105991i	$-0.0338014\pi$
$74$	−1.07010	−	0.347696i	−0.124396	−	0.0404188i
$75$	−1.96206	+	2.70055i	−0.226559	+	0.311832i
$76$	−0.500621	−	0.500621i	−0.0574252	−	0.0574252i
$77$	−9.33133	−	5.37065i	−1.06340	−	0.612042i
$78$	2.56958	−	3.12074i	0.290948	−	0.353354i
$79$	8.36338	−	11.5112i	0.940954	−	1.29511i	−0.0144769	−	0.999895i	$-0.504608\pi$
$79$	8.36338	−	11.5112i	0.940954	−	1.29511i	0.955430	−	0.295216i	$-0.0953917\pi$
$80$	−5.04833	+	2.57225i	−0.564420	+	0.287587i
$81$	0.309017	+	0.951057i	0.0343352	+	0.105673i
$82$	4.06074	+	5.58913i	0.448434	+	0.617216i
$83$	2.73460	−	17.2656i	0.300161	−	1.89514i	−0.128549	−	0.991703i	$-0.541032\pi$
$83$	2.73460	−	17.2656i	0.300161	−	1.89514i	0.428711	−	0.903442i	$-0.358968\pi$
$84$	2.14888	+	1.09491i	0.234463	+	0.119465i
$85$	16.9241	−	8.62325i	1.83567	−	0.935323i
$86$	10.1330	−	1.60491i	1.09267	−	0.173062i
$87$			6.46809i			0.693452i
$88$	−4.16121	−	9.31234i	−0.443587	−	0.992699i
$89$	−3.38500	+	3.38500i	−0.358809	+	0.358809i	−0.863374	−	0.504565i	$-0.831653\pi$
$89$	−3.38500	+	3.38500i	−0.358809	+	0.358809i	0.504565	+	0.863374i	$0.331653\pi$
$90$	−2.61920	−	1.90296i	−0.276088	−	0.200589i
$91$	9.86787	−	6.29435i	1.03443	−	0.659827i
$92$	−1.70925	−	5.26053i	−0.178202	−	0.548448i
$93$	−0.388024	−	0.0614570i	−0.0402362	−	0.00637279i
$94$	−8.41466	−	11.5818i	−0.867906	−	1.19457i
$95$	0.850326	+	2.61703i	0.0872416	+	0.268502i
$96$	1.79360	+	3.52014i	0.183059	+	0.359273i
$97$	1.24366	+	7.85215i	0.126274	+	0.797265i	0.966808	+	0.255505i	$0.0822418\pi$
$97$	1.24366	+	7.85215i	0.126274	+	0.797265i	−0.840533	+	0.541760i	$0.817758\pi$
$98$	−2.80490	−	2.80490i	−0.283337	−	0.283337i
$99$	2.08373	−	2.58032i	0.209423	−	0.259332i
$100$	−2.47998			−0.247998
$101$	−6.17490	−	4.48633i	−0.614426	−	0.446406i	0.236544	−	0.971621i	$-0.423985\pi$
$101$	−6.17490	−	4.48633i	−0.614426	−	0.446406i	−0.850970	+	0.525214i	$0.823985\pi$
$102$	3.34824	+	6.57129i	0.331525	+	0.650654i
$103$	3.94996	−	1.28342i	0.389201	−	0.126459i	−0.107878	−	0.994164i	$-0.534406\pi$
$103$	3.94996	−	1.28342i	0.389201	−	0.126459i	0.497080	+	0.867705i	$0.334406\pi$
$104$	11.0680	+	0.670686i	1.08531	+	0.0657662i
$105$	−5.50972	−	7.58348i	−0.537694	−	0.740072i
$106$	0.0500896	+	0.0255219i	0.00486513	+	0.00247891i
$107$	4.56766	+	1.48412i	0.441572	+	0.143476i	0.521361	−	0.853336i	$-0.325425\pi$
$107$	4.56766	+	1.48412i	0.441572	+	0.143476i	−0.0797887	+	0.996812i	$0.525425\pi$
$108$	−0.436689	+	0.601051i	−0.0420204	+	0.0578362i
$109$	−8.66819	+	8.66819i	−0.830262	+	0.830262i	−0.987552	−	0.157290i	$-0.949724\pi$
$109$	−8.66819	+	8.66819i	−0.830262	+	0.830262i	0.157290	+	0.987552i	$0.449724\pi$
$110$	−0.547470	+	10.7236i	−0.0521992	+	1.02246i
$111$	0.709617	−	0.709617i	0.0673539	−	0.0673539i
$112$	−0.996427	−	6.29119i	−0.0941535	−	0.594462i
$113$	−2.50716	+	7.71625i	−0.235854	+	0.725884i	0.761153	+	0.648572i	$0.224634\pi$
$113$	−2.50716	+	7.71625i	−0.235854	+	0.725884i	−0.997007	+	0.0773114i	$0.975366\pi$
$114$	−1.01614	+	0.330165i	−0.0951705	+	0.0309228i
$115$	−3.36306	+	21.2335i	−0.313607	+	1.98004i
$116$	−3.88765	+	2.82455i	−0.360960	+	0.262253i
$117$	1.43957	+	3.30570i	0.133089	+	0.305612i
$118$	−5.58095	−	1.81336i	−0.513768	−	0.166933i
$119$	3.34043	+	21.0907i	0.306217	+	1.93338i
$120$		−	8.88028i		−	0.810655i
$121$	−10.9428	−	1.12024i	−0.994801	−	0.101840i
$122$	1.43629	+	1.43629i	0.130035	+	0.130035i
$123$	−6.08595	+	0.963920i	−0.548752	+	0.0869137i
$124$	−0.132507	−	0.260060i	−0.0118995	−	0.0233541i
$125$	−4.27591	−	2.17869i	−0.382449	−	0.194868i
$126$	2.94452	−	2.13932i	0.262318	−	0.190586i
$127$	2.17931	−	1.58336i	0.193382	−	0.140500i	−0.486881	−	0.873468i	$-0.661865\pi$
$127$	2.17931	−	1.58336i	0.193382	−	0.140500i	0.680263	+	0.732968i	$0.261865\pi$
$128$	0.664972	−	1.30508i	0.0587757	−	0.115354i
$129$	−2.82763	+	8.70256i	−0.248959	+	0.766218i
$130$	−10.0611	−	5.91882i	−0.882419	−	0.519115i
$131$			20.3982i			1.78220i	0.453808	+	0.891099i	$0.350065\pi$
$131$			20.3982i			1.78220i	−0.453808	+	0.891099i	$0.649935\pi$
$132$	2.46085	+	0.125633i	0.214189	+	0.0109350i
$133$	−3.09349			−0.268240
$134$	5.90670	+	4.29147i	0.510261	+	0.370726i
$135$	2.57284	−	1.31093i	0.221435	−	0.112827i
$136$	−9.18402	+	18.0246i	−0.787523	+	1.54560i
$137$	−1.03514	+	6.53565i	−0.0884384	+	0.558378i	0.903189	+	0.429244i	$0.141220\pi$
$137$	−1.03514	+	6.53565i	−0.0884384	+	0.558378i	−0.991627	+	0.129134i	$0.958780\pi$
$138$	−8.24456	−	1.30581i	−0.701823	−	0.111158i
$139$	4.45015	−	1.44594i	0.377457	−	0.122643i	−0.114143	−	0.993464i	$-0.536412\pi$
$139$	4.45015	−	1.44594i	0.377457	−	0.122643i	0.491600	+	0.870821i	$0.336412\pi$
$140$	2.15202	−	6.62325i	0.181879	−	0.559767i
$141$	12.6113	−	1.99743i	1.06206	−	0.168214i
$142$	−3.65553			−0.306765
$143$	6.58110	−	9.98445i	0.550339	−	0.834941i
$144$	1.96216			0.163513
$145$	18.4471	−	2.92174i	1.53195	−	0.242637i
$146$	3.23178	−	9.94641i	0.267464	−	0.823171i
$147$	3.36481	−	1.09329i	0.277525	−	0.0901733i
$148$	0.736399	+	0.116634i	0.0605316	+	0.00958726i
$149$	1.59169	−	10.0495i	0.130396	−	0.823288i	−0.832620	−	0.553844i	$-0.813160\pi$
$149$	1.59169	−	10.0495i	0.130396	−	0.823288i	0.963016	−	0.269444i	$-0.0868398\pi$
$150$	−1.69910	+	3.33467i	−0.138731	+	0.272275i
$151$	−13.8874	+	7.07599i	−1.13014	+	0.575836i	−0.916084	−	0.400985i	$-0.868668\pi$
$151$	−13.8874	+	7.07599i	−1.13014	+	0.575836i	−0.214057	+	0.976821i	$0.568668\pi$
$152$	−2.37095	−	1.72260i	−0.192309	−	0.139721i
$153$	−6.57797			−0.531797
$154$	−11.2753	−	4.31072i	−0.908592	−	0.347368i
$155$			1.13441i			0.0911183i
$156$	−1.35825	+	2.30882i	−0.108747	+	0.184854i
$157$	0.167222	−	0.514657i	0.0133458	−	0.0410741i	−0.944162	−	0.329482i	$-0.893126\pi$
$157$	0.167222	−	0.514657i	0.0133458	−	0.0410741i	0.957508	+	0.288408i	$0.0931259\pi$
$158$	7.24249	−	14.2142i	0.576181	−	1.13082i
$159$	−0.0405645	+	0.0294718i	−0.00321697	+	0.00233727i
$160$	9.22932	−	6.70549i	0.729642	−	0.530116i
$161$	−21.5342	−	10.9722i	−1.69713	−	0.864733i
$162$	0.509008	+	0.998985i	0.0399915	+	0.0784877i
$163$	−0.261954	+	0.0414894i	−0.0205178	+	0.00324970i	−0.166685	−	0.986010i	$-0.553306\pi$
$163$	−0.261954	+	0.0414894i	−0.0205178	+	0.00324970i	0.146167	+	0.989260i	$0.453306\pi$
$164$	−3.23704	−	3.23704i	−0.252770	−	0.252770i
$165$	−8.30038	−	4.77728i	−0.646183	−	0.371911i
$166$		−	19.5993i		−	1.52120i
$167$	0.563255	+	3.55625i	0.0435860	+	0.275191i	0.999850	−	0.0173136i	$-0.00551135\pi$
$167$	0.563255	+	3.55625i	0.0435860	+	0.275191i	−0.956264	+	0.292505i	$0.905511\pi$
$168$	9.49465	+	3.08500i	0.732528	+	0.238013i
$169$	6.31534	+	11.3629i	0.485796	+	0.874072i
$170$	17.2290	−	12.5176i	1.32140	−	0.960056i
$171$	0.149074	−	0.941219i	0.0114000	−	0.0719768i
$172$	−6.46548	+	2.10076i	−0.492988	+	0.160182i
$173$	1.72180	−	5.29917i	0.130906	−	0.402888i	−0.864024	−	0.503450i	$-0.832064\pi$
$173$	1.72180	−	5.29917i	0.130906	−	0.402888i	0.994931	+	0.100561i	$0.0320639\pi$
$174$	1.13445	+	7.16266i	0.0860027	+	0.543000i
$175$	−7.66227	+	7.66227i	−0.579213	+	0.579213i
$176$	−3.55175	−	5.45306i	−0.267723	−	0.411040i
$177$	3.70091	−	3.70091i	0.278178	−	0.278178i
$178$	−3.15479	+	4.34220i	−0.236461	+	0.325461i
$179$	−21.2077	−	6.89079i	−1.58514	−	0.515042i	−0.621763	−	0.783205i	$-0.713583\pi$
$179$	−21.2077	−	6.89079i	−1.58514	−	0.515042i	−0.963373	+	0.268163i	$0.913583\pi$
$180$	1.91147	+	0.973942i	0.142472	+	0.0725933i
$181$	7.66872	+	10.5551i	0.570012	+	0.784554i	0.992556	−	0.121788i	$-0.0388629\pi$
$181$	7.66872	+	10.5551i	0.570012	+	0.784554i	−0.422544	+	0.906342i	$0.638863\pi$
$182$	9.82353	−	8.70100i	0.728168	−	0.644961i
$183$	−1.72300	+	0.559836i	−0.127368	+	0.0413842i
$184$	−10.3947	−	20.4007i	−0.766305	−	1.50396i
$185$	−2.34439	−	1.70330i	−0.172363	−	0.125229i
$186$	−0.440470			−0.0322969
$187$	11.9069	+	18.2809i	0.870720	+	1.33683i
$188$	6.70778	+	6.70778i	0.489215	+	0.489215i
$189$	0.507821	+	3.20626i	0.0369386	+	0.233221i
$190$	1.40064	+	2.74892i	0.101613	+	0.199428i
$191$	6.12822	+	18.8607i	0.443423	+	1.36471i	0.884204	+	0.467100i	$0.154701\pi$
$191$	6.12822	+	18.8607i	0.443423	+	1.36471i	−0.440782	+	0.897614i	$0.645299\pi$
$192$	4.91027	+	6.75840i	0.354368	+	0.487746i
$193$	18.9158	+	2.99597i	1.36159	+	0.215655i	0.794131	−	0.607746i	$-0.207926\pi$
$193$	18.9158	+	2.99597i	1.36159	+	0.215655i	0.567460	+	0.823401i	$0.307926\pi$
$194$	2.75441	+	8.47721i	0.197755	+	0.608628i
$195$	8.77763	−	5.59893i	0.628579	−	0.400947i
$196$	2.12650	+	1.54499i	0.151893	+	0.110357i
$197$	8.61361	−	8.61361i	0.613694	−	0.613694i	−0.330212	−	0.943907i	$-0.607120\pi$
$197$	8.61361	−	8.61361i	0.613694	−	0.613694i	0.943907	+	0.330212i	$0.107120\pi$
$198$	1.85492	−	3.22287i	0.131824	−	0.229040i
$199$		−	18.3059i		−	1.29767i	−0.760929	−	0.648835i	$-0.775257\pi$
$199$		−	18.3059i		−	1.29767i	0.760929	−	0.648835i	$-0.224743\pi$
$200$	−10.1393	+	1.60591i	−0.716957	+	0.113555i
$201$	−5.80216	+	2.95635i	−0.409253	+	0.208525i
$202$	−7.62485	−	3.88505i	−0.536482	−	0.273351i
$203$	−3.28464	+	20.7384i	−0.230536	+	1.45555i
$204$	−2.87253	−	3.95369i	−0.201117	−	0.276814i
$205$	5.49824	+	16.9218i	0.384014	+	1.18187i
$206$	4.14902	−	2.11403i	0.289076	−	0.147292i
$207$	4.37611	−	6.02320i	0.304161	−	0.418641i
$208$	7.04171	−	0.682047i	0.488255	−	0.0472915i
$209$	−2.88559	+	1.28942i	−0.199601	+	0.0891914i
$210$	−7.43146	−	7.43146i	−0.512819	−	0.512819i
$211$	3.56130	−	4.90170i	0.245170	−	0.337447i	−0.668643	−	0.743584i	$-0.733124\pi$
$211$	3.56130	−	4.90170i	0.245170	−	0.337447i	0.913812	+	0.406137i	$0.133124\pi$
$212$	−0.0354282	−	0.0115113i	−0.00243322	−	0.000790600i
$213$	1.48019	−	2.90505i	0.101421	−	0.199050i
$214$	5.31845	+	0.842360i	0.363562	+	0.0575825i
$215$	26.0972	+	4.13338i	1.77981	+	0.281894i
$216$	−1.39618	+	2.74016i	−0.0949979	+	0.186444i
$217$	−1.21290	−	0.394094i	−0.0823368	−	0.0267528i
$218$	−8.07868	+	11.1193i	−0.547157	+	0.753097i
$219$	6.59579	+	6.59579i	0.445702	+	0.445702i
$220$	−0.753296	−	7.07514i	−0.0507872	−	0.477006i
$221$	−23.6067	+	2.28650i	−1.58796	+	0.153807i
$222$	0.661357	−	0.910280i	0.0443874	−	0.0610940i
$223$	5.25876	−	2.67947i	0.352153	−	0.179431i	−0.268961	−	0.963151i	$-0.586680\pi$
$223$	5.25876	−	2.67947i	0.352153	−	0.179431i	0.621114	+	0.783720i	$0.286680\pi$
$224$	3.96315	+	12.1973i	0.264799	+	0.814967i
$225$	−1.96206	−	2.70055i	−0.130804	−	0.180036i
$226$	−1.42302	+	8.98458i	−0.0946577	+	0.597645i
$227$	−13.5577	−	6.90802i	−0.899859	−	0.458501i	−0.0580731	−	0.998312i	$-0.518496\pi$
$227$	−13.5577	−	6.90802i	−0.899859	−	0.458501i	−0.841786	+	0.539811i	$0.818496\pi$
$228$	0.630820	−	0.321419i	0.0417771	−	0.0212865i
$229$	−6.48829	+	1.02764i	−0.428759	+	0.0679087i	−0.367084	−	0.930188i	$-0.619644\pi$
$229$	−6.48829	+	1.02764i	−0.428759	+	0.0679087i	−0.0616742	+	0.998096i	$0.519644\pi$
$230$			24.1035i			1.58934i
$231$	7.99133	−	7.21501i	0.525791	−	0.474712i
$232$	−14.0655	+	14.0655i	−0.923446	+	0.923446i
$233$	14.0011	+	10.1724i	0.917245	+	0.666418i	0.942837	−	0.333255i	$-0.108147\pi$
$233$	14.0011	+	10.1724i	0.917245	+	0.666418i	−0.0255917	+	0.999672i	$0.508147\pi$
$234$	2.17395	+	3.40818i	0.142116	+	0.222800i
$235$	−11.3934	−	35.0654i	−0.743226	−	2.28741i
$236$	3.84059	+	0.608289i	0.250001	+	0.0395963i
$237$	8.36338	+	11.5112i	0.543260	+	0.747733i
$238$	7.39827	+	22.7695i	0.479559	+	1.47593i
$239$	−3.56031	−	6.98750i	−0.230297	−	0.451984i	0.746722	−	0.665137i	$-0.231627\pi$
$239$	−3.56031	−	6.98750i	−0.230297	−	0.451984i	−0.977019	+	0.213153i	$0.931627\pi$
$240$	−0.886338	−	5.59612i	−0.0572129	−	0.361228i
$241$	−17.1309	−	17.1309i	−1.10350	−	1.10350i	−0.993986	−	0.109512i	$-0.965071\pi$
$241$	−17.1309	−	17.1309i	−1.10350	−	1.10350i	−0.109512	−	0.993986i	$-0.534929\pi$
$242$	−12.3144	+	0.678749i	−0.791597	+	0.0436316i
$243$	−1.00000			−0.0641500
$244$	−1.08890	−	0.791135i	−0.0697099	−	0.0506472i
$245$	−4.63803	−	9.10264i	−0.296313	−	0.581546i
$246$	−6.57042	+	2.13486i	−0.418914	+	0.136114i
$247$	0.207824	−	3.42962i	0.0132235	−	0.218222i
$248$	−0.710153	−	0.977441i	−0.0450947	−	0.0620676i
$249$	15.5755	+	7.93612i	0.987058	+	0.502931i
$250$	−5.11720	−	1.66268i	−0.323640	−	0.105157i
$251$	−5.34307	+	7.35410i	−0.337252	+	0.464187i	−0.943636	−	0.330985i	$-0.892619\pi$
$251$	−5.34307	+	7.35410i	−0.337252	+	0.464187i	0.606385	+	0.795171i	$0.292619\pi$
$252$	−1.70536	+	1.70536i	−0.107428	+	0.107428i
$253$	−24.6604	−	1.25898i	−1.55039	−	0.0791515i
$254$	2.13562	−	2.13562i	0.134001	−	0.134001i
$255$	2.97137	+	18.7605i	0.186074	+	1.17483i
$256$	−4.65548	+	14.3281i	−0.290968	+	0.895507i
$257$	8.83342	−	2.87015i	0.551014	−	0.179035i	−0.0202601	−	0.999795i	$-0.506449\pi$
$257$	8.83342	−	2.87015i	0.551014	−	0.179035i	0.571274	+	0.820760i	$0.306449\pi$
$258$	−1.60491	+	10.1330i	−0.0999174	+	0.630854i
$259$	2.63557	−	1.91486i	0.163767	−	0.118983i
$260$	7.19834	+	2.83081i	0.446422	+	0.175560i
$261$	−6.15152	−	1.99875i	−0.380770	−	0.123720i
$262$	3.57769	+	22.5886i	0.221030	+	1.39553i
$263$		−	4.50145i		−	0.277572i	−0.990322	−	0.138786i	$-0.955680\pi$
$263$		−	4.50145i		−	0.277572i	0.990322	−	0.138786i	$-0.0443200\pi$
$264$	10.1425	−	1.07987i	0.624225	−	0.0664617i
$265$	0.102378	+	0.102378i	0.00628902	+	0.00628902i
$266$	−3.42568	+	0.542575i	−0.210042	+	0.0332674i
$267$	−2.17330	−	4.26535i	−0.133004	−	0.261035i
$268$	−4.31066	−	2.19639i	−0.263315	−	0.134166i
$269$	12.3143	−	8.94685i	0.750815	−	0.545499i	−0.145264	−	0.989393i	$-0.546403\pi$
$269$	12.3143	−	8.94685i	0.750815	−	0.545499i	0.896079	+	0.443894i	$0.146403\pi$
$270$	2.61920	−	1.90296i	0.159399	−	0.115810i
$271$	−1.52780	+	2.99848i	−0.0928073	+	0.182145i	−0.932744	−	0.360540i	$-0.882592\pi$
$271$	−1.52780	+	2.99848i	−0.0928073	+	0.182145i	0.839936	+	0.542685i	$0.182592\pi$
$272$	−3.98849	+	12.2753i	−0.241838	+	0.744300i
$273$	2.93694	+	11.3300i	0.177752	+	0.685720i
$274$			7.41902i			0.448199i
$275$	−3.95355	+	10.3411i	−0.238408	+	0.623592i
$276$	5.53125			0.332942
$277$	8.44205	+	6.13351i	0.507234	+	0.368527i	0.811773	−	0.583973i	$-0.198503\pi$
$277$	8.44205	+	6.13351i	0.507234	+	0.368527i	−0.304539	+	0.952500i	$0.598503\pi$
$278$	4.67441	−	2.38173i	0.280353	−	0.142847i
$279$	0.178355	−	0.350042i	0.0106778	−	0.0209564i
$280$	4.50960	−	28.4725i	0.269500	−	1.70156i
$281$	−12.2770	−	1.94449i	−0.732386	−	0.115999i	−0.220908	−	0.975295i	$-0.570902\pi$
$281$	−12.2770	−	1.94449i	−0.732386	−	0.115999i	−0.511478	+	0.859296i	$0.670902\pi$
$282$	13.6152	−	4.42385i	0.810773	−	0.263436i
$283$	−9.23618	+	28.4260i	−0.549034	+	1.68975i	0.162166	+	0.986763i	$0.448152\pi$
$283$	−9.23618	+	28.4260i	−0.549034	+	1.68975i	−0.711200	+	0.702989i	$0.751848\pi$
$284$	2.39247	−	0.378929i	0.141967	−	0.0224853i
$285$	−2.75171			−0.162997
$286$	5.53660	−	12.2109i	0.327386	−	0.722045i
$287$	−20.0026			−1.18072
$288$	−3.90211	+	0.618033i	−0.229934	+	0.0364180i
$289$	8.11776	−	24.9839i	0.477516	−	1.46964i
$290$	19.9156	−	6.47097i	1.16948	−	0.379988i
$291$	−7.85215	−	1.24366i	−0.460301	−	0.0729046i
$292$	−1.08410	+	6.84472i	−0.0634420	+	0.400557i
$293$	0.687292	−	1.34889i	0.0401520	−	0.0788028i	−0.870059	−	0.492948i	$-0.835919\pi$
$293$	0.687292	−	1.34889i	0.0401520	−	0.0788028i	0.910211	+	0.414145i	$0.135919\pi$
$294$	3.53438	−	1.80086i	0.206129	−	0.105028i
$295$	−12.2268	−	8.88331i	−0.711874	−	0.517207i
$296$	3.08627			0.179386
$297$	1.81012	+	2.77911i	0.105034	+	0.161260i
$298$		−	11.4078i		−	0.660838i
$299$	13.6111	−	23.1369i	0.787152	−	1.33804i
$300$	0.766355	−	2.35860i	0.0442456	−	0.136174i
$301$	−13.4855	+	26.4667i	−0.777289	+	1.52552i
$302$	−14.1376	+	10.2716i	−0.813528	+	0.591063i
$303$	6.17490	−	4.48633i	0.354739	−	0.257733i
$304$	−1.66604	−	0.848891i	−0.0955540	−	0.0486872i
$305$	2.37497	+	4.66113i	0.135990	+	0.266896i
$306$	−7.28433	+	1.15372i	−0.416417	+	0.0659540i
$307$	−5.80388	−	5.80388i	−0.331245	−	0.331245i	0.521814	−	0.853059i	$-0.325255\pi$
$307$	−5.80388	−	5.80388i	−0.331245	−	0.331245i	−0.853059	+	0.521814i	$0.825255\pi$
$308$	7.82632	+	1.65248i	0.445946	+	0.0941590i
$309$			4.15324i			0.236269i
$310$	0.198967	+	1.25623i	0.0113006	+	0.0713491i
$311$	13.0641	+	4.24477i	0.740795	+	0.240699i	0.655016	−	0.755615i	$-0.272662\pi$
$311$	13.0641	+	4.24477i	0.740795	+	0.240699i	0.0857791	+	0.996314i	$0.472662\pi$
$312$	−4.05807	+	10.3191i	−0.229743	+	0.584202i
$313$	24.8757	−	18.0733i	1.40606	−	1.02156i	0.412179	−	0.911103i	$-0.364768\pi$
$313$	24.8757	−	18.0733i	1.40606	−	1.02156i	0.993881	−	0.110460i	$-0.0352323\pi$
$314$	0.0949122	−	0.599252i	0.00535620	−	0.0338177i
$315$	8.91492	−	2.89663i	0.502299	−	0.163207i
$316$	−3.26662	+	10.0536i	−0.183762	+	0.565561i
$317$	3.98765	+	25.1770i	0.223969	+	1.41408i	0.801637	+	0.597811i	$0.203963\pi$
$317$	3.98765	+	25.1770i	0.223969	+	1.41408i	−0.577669	+	0.816271i	$0.696037\pi$
$318$	−0.0397513	+	0.0397513i	−0.00222914	+	0.00222914i
$319$	5.58025	+	20.7137i	0.312434	+	1.15975i
$320$	17.0571	−	17.0571i	0.953518	−	0.953518i
$321$	−2.82297	+	3.88548i	−0.157563	+	0.216866i
$322$	−25.7711	−	8.37353i	−1.43617	−	0.466638i
$323$	5.58526	+	2.84583i	0.310772	+	0.158346i
$324$	−0.436689	−	0.601051i	−0.0242605	−	0.0333917i
$325$	−7.98007	−	9.00959i	−0.442655	−	0.499762i
$326$	−0.282806	+	0.0918893i	−0.0156632	+	0.00508928i
$327$	−5.56532	−	10.9226i	−0.307763	−	0.604019i
$328$	−15.3306	−	11.1384i	−0.846493	−	0.615014i
$329$	41.4494			2.28518
$330$	−10.0296	−	3.83446i	−0.552111	−	0.211080i
$331$	−13.0655	−	13.0655i	−0.718147	−	0.718147i	0.250079	−	0.968225i	$-0.419543\pi$
$331$	−13.0655	−	13.0655i	−0.718147	−	0.718147i	−0.968225	+	0.250079i	$0.919543\pi$
$332$	2.03164	+	12.8273i	0.111501	+	0.703990i
$333$	0.455602	+	0.894170i	0.0249669	+	0.0490002i
$334$	1.24748	+	3.83934i	0.0682589	+	0.210079i
$335$	11.0525	+	15.2124i	0.603862	+	0.831145i
$336$	6.29119	+	0.996427i	0.343213	+	0.0543595i
$337$	−4.06035	−	12.4965i	−0.221181	−	0.680725i	−0.998657	−	0.0518125i	$-0.983500\pi$
$337$	−4.06035	−	12.4965i	−0.221181	−	0.680725i	0.777476	−	0.628913i	$-0.216500\pi$
$338$	8.98648	+	11.4755i	0.488800	+	0.624183i
$339$	−6.56383	−	4.76890i	−0.356499	−	0.259011i
$340$	−9.97845	+	9.97845i	−0.541157	+	0.541157i
$341$	−1.29565	+	0.137949i	−0.0701633	+	0.00747035i
$342$		−	1.06844i		−	0.0577744i
$343$	−11.1002	+	1.75809i	−0.599352	+	0.0949281i
$344$	−25.0736	+	12.7756i	−1.35188	+	0.688815i
$345$	−19.1550	−	9.75998i	−1.03127	−	0.525459i
$346$	0.977264	−	6.17020i	0.0525380	−	0.331712i
$347$	−7.63047	−	10.5024i	−0.409625	−	0.563801i	0.553502	−	0.832848i	$-0.313291\pi$
$347$	−7.63047	−	10.5024i	−0.409625	−	0.563801i	−0.963127	+	0.269047i	$0.913291\pi$
$348$	−1.48495	−	4.57021i	−0.0796018	−	0.244989i
$349$	−1.81747	+	0.926045i	−0.0972867	+	0.0495701i	−0.501957	−	0.864893i	$-0.667386\pi$
$349$	−1.81747	+	0.926045i	−0.0972867	+	0.0495701i	0.404670	+	0.914463i	$0.367386\pi$
$350$	−7.14117	+	9.82897i	−0.381711	+	0.525381i
$351$	−3.58876	+	0.347600i	−0.191554	+	0.0185535i
$352$	8.78087	+	9.72568i	0.468022	+	0.518381i
$353$	−25.3995	−	25.3995i	−1.35188	−	1.35188i	−0.883556	−	0.468325i	$-0.844858\pi$
$353$	−25.3995	−	25.3995i	−1.35188	−	1.35188i	−0.468325	−	0.883556i	$-0.655142\pi$
$354$	3.44922	−	4.74744i	0.183324	−	0.252324i
$355$	−8.95387	−	2.90929i	−0.475222	−	0.154409i
$356$	1.61463	−	3.16890i	0.0855755	−	0.167951i
$357$	−21.0907	−	3.34043i	−1.11624	−	0.176794i
$358$	−24.6936	−	3.91109i	−1.30510	−	0.206707i
$359$	4.10747	−	8.06137i	0.216784	−	0.425463i	−0.756847	−	0.653593i	$-0.773261\pi$
$359$	4.10747	−	8.06137i	0.216784	−	0.425463i	0.973631	+	0.228130i	$0.0732610\pi$
$360$	8.44565	+	2.74416i	0.445125	+	0.144630i
$361$	10.6341	−	14.6366i	0.559692	−	0.770350i
$362$	10.3435	+	10.3435i	0.543642	+	0.543642i
$363$	4.44693	−	10.0611i	0.233403	−	0.528069i
$364$	−5.52735	+	6.71292i	−0.289712	+	0.351853i
$365$	15.8319	−	21.7907i	0.828680	−	1.14058i
$366$	−1.80983	+	0.922153i	−0.0946012	+	0.0482017i
$367$	−4.98706	−	15.3486i	−0.260322	−	0.801190i	−0.992734	−	0.120328i	$-0.961605\pi$
$367$	−4.98706	−	15.3486i	−0.260322	−	0.801190i	0.732412	−	0.680862i	$-0.238395\pi$
$368$	−8.58663	−	11.8185i	−0.447609	−	0.616081i
$369$	0.963920	−	6.08595i	0.0501797	−	0.316822i
$370$	−2.89488	−	1.47502i	−0.150498	−	0.0766824i
$371$	−0.145027	+	0.0738948i	−0.00752941	+	0.00383642i
$372$	0.288279	−	0.0456589i	0.0149466	−	0.00236730i
$373$		−	15.3518i		−	0.794888i	−0.917626	−	0.397444i	$-0.869897\pi$
$373$		−	15.3518i		−	0.794888i	0.917626	−	0.397444i	$-0.130103\pi$
$374$	16.3918	+	18.1556i	0.847602	+	0.938803i
$375$	3.39338	−	3.39338i	0.175234	−	0.175234i
$376$	31.7681	+	23.0809i	1.63832	+	1.19031i
$377$	−22.7711	−	5.03476i	−1.17277	−	0.259303i
$378$	1.12471	+	3.46149i	0.0578486	+	0.178040i
$379$	−12.1693	−	1.92743i	−0.625095	−	0.0990053i	−0.164152	−	0.986435i	$-0.552489\pi$
$379$	−12.1693	−	1.92743i	−0.625095	−	0.0990053i	−0.460943	+	0.887430i	$0.652489\pi$
$380$	−1.20164	−	1.65392i	−0.0616430	−	0.0848443i
$381$	0.832421	+	2.56193i	0.0426462	+	0.131252i
$382$	10.0943	+	19.8112i	0.516470	+	1.01363i
$383$	−1.97092	−	12.4439i	−0.100709	−	0.635852i	−0.985476	−	0.169817i	$-0.945682\pi$
$383$	−1.97092	−	12.4439i	−0.100709	−	0.635852i	0.884766	−	0.466035i	$-0.154318\pi$
$384$	1.03572	+	1.03572i	0.0528537	+	0.0528537i
$385$	−24.1871	−	19.5323i	−1.23269	−	0.995458i
$386$	21.4725			1.09292
$387$	−7.40284	−	5.37848i	−0.376307	−	0.273403i
$388$	−2.68145	−	5.26264i	−0.136130	−	0.267170i
$389$	−19.7743	+	6.42507i	−1.00260	+	0.325764i	−0.763903	−	0.645331i	$-0.776719\pi$
$389$	−19.7743	+	6.42507i	−1.00260	+	0.325764i	−0.238695	+	0.971095i	$0.576719\pi$
$390$	8.73819	−	7.73969i	0.442476	−	0.391914i
$391$	28.7859	+	39.6204i	1.45577	+	2.00369i
$392$	9.69459	+	4.93964i	0.489650	+	0.249489i
$393$	−19.3998	−	6.30339i	−0.978592	−	0.317964i
$394$	8.02781	−	11.0493i	0.404435	−	0.556657i
$395$	29.0523	−	29.0523i	1.46178	−	1.46178i
$396$	−0.879928	+	2.30158i	−0.0442181	+	0.115659i
$397$	21.6336	−	21.6336i	1.08576	−	1.08576i	0.0897986	−	0.995960i	$-0.471378\pi$
$397$	21.6336	−	21.6336i	1.08576	−	1.08576i	0.995960	−	0.0897986i	$-0.0286223\pi$
$398$	−3.21071	−	20.2716i	−0.160938	−	1.01612i
$399$	0.955942	−	2.94209i	0.0478569	−	0.147289i
$400$	−6.22924	+	2.02400i	−0.311462	+	0.101200i
$401$	−4.27530	+	26.9932i	−0.213498	+	1.34797i	0.615241	+	0.788339i	$0.289059\pi$
$401$	−4.27530	+	26.9932i	−0.213498	+	1.34797i	−0.828739	+	0.559635i	$0.810941\pi$
$402$	−5.90670	+	4.29147i	−0.294599	+	0.214039i
$403$	0.518399	−	1.31821i	0.0258233	−	0.0656647i
$404$	5.39303	+	1.75230i	0.268313	+	0.0871802i
$405$	0.451715	+	2.85202i	0.0224459	+	0.141718i
$406$			23.5414i			1.16834i
$407$	1.66030	−	2.88473i	0.0822982	−	0.142991i
$408$	−14.3044	−	14.3044i	−0.708175	−	0.708175i
$409$	34.0081	−	5.38635i	1.68159	−	0.266338i	0.758712	−	0.651426i	$-0.225829\pi$
$409$	34.0081	−	5.38635i	1.68159	−	0.266338i	0.922880	+	0.385088i	$0.125829\pi$
$410$	9.05661	+	17.7746i	0.447274	+	0.877825i
$411$	−5.89589	−	3.00411i	−0.290823	−	0.148182i
$412$	−2.49631	+	1.81367i	−0.122984	+	0.0893533i
$413$	13.7455	−	9.98668i	0.676371	−	0.491412i
$414$	3.78961	−	7.43752i	0.186249	−	0.365534i
$415$	15.5983	−	48.0065i	0.765689	−	2.35655i
$416$	−13.7889	+	3.57434i	−0.676056	+	0.175247i
$417$			4.67916i			0.229140i
$418$	−2.96930	+	1.93400i	−0.145233	+	0.0945950i
$419$	39.1973			1.91491			0.957456	−	0.288581i	$-0.0931833\pi$
$419$	39.1973			1.91491			0.957456	+	0.288581i	$0.0931833\pi$
$420$	5.63407	+	4.09339i	0.274915	+	0.199737i
$421$	6.23258	−	3.17566i	0.303757	−	0.154772i	−0.295468	−	0.955353i	$-0.595475\pi$
$421$	6.23258	−	3.17566i	0.303757	−	0.154772i	0.599225	+	0.800581i	$0.295475\pi$
$422$	3.08400	−	6.05269i	0.150127	−	0.294640i
$423$	−1.99743	+	12.6113i	−0.0971185	+	0.613182i
$424$	−0.152301	−	0.0241221i	−0.00739639	−	0.00117147i
$425$	20.8830	−	6.78529i	1.01297	−	0.329135i
$426$	1.12962	−	3.47661i	0.0547303	−	0.168442i
$427$	−5.80867	+	0.920003i	−0.281101	+	0.0445220i
$428$	−3.56813			−0.172472
$429$	7.46210	+	9.34436i	0.360274	+	0.451150i
$430$	29.6245			1.42862
$431$	−26.5570	+	4.20621i	−1.27920	+	0.202606i	−0.758805	−	0.651317i	$-0.774217\pi$
$431$	−26.5570	+	4.20621i	−1.27920	+	0.202606i	−0.520399	+	0.853923i	$0.674217\pi$
$432$	−0.606341	+	1.86612i	−0.0291726	+	0.0897840i
$433$	−15.7358	+	5.11286i	−0.756212	+	0.245708i	−0.661652	−	0.749811i	$-0.730144\pi$
$433$	−15.7358	+	5.11286i	−0.756212	+	0.245708i	−0.0945601	+	0.995519i	$0.530144\pi$
$434$	−1.41226	−	0.223680i	−0.0677907	−	0.0107370i
$435$	−2.92174	+	18.4471i	−0.140087	+	0.884472i
$436$	4.13470	−	8.11481i	0.198016	−	0.388629i
$437$	−6.32151	+	3.22097i	−0.302399	+	0.154080i
$438$	8.46092	+	6.14722i	0.404278	+	0.293725i
$439$	−29.1765			−1.39252			−0.696258	−	0.717791i	$-0.745153\pi$
$439$	−29.1765			−1.39252			−0.696258	+	0.717791i	$0.745153\pi$
$440$	−7.66133	−	28.4387i	−0.365239	−	1.35576i
$441$			3.53797i			0.168475i
$442$	−25.7406	+	6.67247i	−1.22436	+	0.317377i
$443$	−6.52483	+	20.0814i	−0.310004	+	0.954095i	0.667758	+	0.744378i	$0.267254\pi$
$443$	−6.52483	+	20.0814i	−0.310004	+	0.954095i	−0.977762	+	0.209716i	$0.932746\pi$
$444$	−0.338485	+	0.664315i	−0.0160638	+	0.0315270i
$445$	−11.1831	+	8.12503i	−0.530132	+	0.385163i
$446$	5.35350	−	3.88955i	0.253496	−	0.184175i
$447$	9.06579	+	4.61925i	0.428797	+	0.218483i
$448$	12.3115	+	24.1627i	0.581665	+	1.14158i
$449$	0.119683	−	0.0189559i	0.00564818	−	0.000894584i	−0.153610	−	0.988132i	$-0.549090\pi$
$449$	0.119683	−	0.0189559i	0.00564818	−	0.000894584i	0.159258	+	0.987237i	$0.449090\pi$
$450$	−2.64641	−	2.64641i	−0.124753	−	0.124753i
$451$	−18.6584	+	8.33747i	−0.878588	+	0.392596i
$452$		−	6.02773i		−	0.283521i
$453$	−2.43822	−	15.3943i	−0.114558	−	0.723288i
$454$	−16.2252	−	5.27190i	−0.761488	−	0.247422i
$455$	30.9866	−	13.4941i	1.45267	−	0.632615i
$456$	2.37095	−	1.72260i	0.111030	−	0.0806680i
$457$	2.08996	−	13.1955i	0.0977642	−	0.617259i	−0.889348	−	0.457231i	$-0.848841\pi$
$457$	2.08996	−	13.1955i	0.0977642	−	0.617259i	0.987112	−	0.160028i	$-0.0511586\pi$
$458$	−7.00479	+	2.27599i	−0.327312	+	0.106350i
$459$	2.03270	−	6.25602i	0.0948785	−	0.292006i
$460$	−2.49855	−	15.7752i	−0.116496	−	0.735524i
$461$	6.35130	−	6.35130i	0.295810	−	0.295810i	−0.543560	−	0.839370i	$-0.682924\pi$
$461$	6.35130	−	6.35130i	0.295810	−	0.295810i	0.839370	+	0.543560i	$0.182924\pi$
$462$	7.58401	−	9.39139i	0.352840	−	0.436927i
$463$	−4.17729	+	4.17729i	−0.194135	+	0.194135i	−0.797480	−	0.603345i	$-0.793834\pi$
$463$	−4.17729	+	4.17729i	−0.194135	+	0.194135i	0.603345	+	0.797480i	$0.293834\pi$
$464$	−7.45984	+	10.2676i	−0.346314	+	0.476661i
$465$	−1.07889	−	0.350553i	−0.0500324	−	0.0162565i
$466$	17.2888	+	8.80908i	0.800888	+	0.408073i
$467$	−15.9953	−	22.0157i	−0.740176	−	1.01876i	−0.998609	−	0.0527352i	$-0.983206\pi$
$467$	−15.9953	−	22.0157i	−0.740176	−	1.01876i	0.258433	−	0.966029i	$-0.416794\pi$
$468$	−1.77610	−	2.00523i	−0.0821001	−	0.0926919i
$469$	−20.1045	+	6.53235i	−0.928340	+	0.301636i
$470$	−18.7671	−	36.8325i	−0.865661	−	1.69896i
$471$	0.437793	+	0.318075i	0.0201725	+	0.0146561i
$472$	16.0960			0.740879
$473$	−1.54736	+	30.3090i	−0.0711476	+	1.39361i
$474$	11.2804	+	11.2804i	0.518128	+	0.518128i
$475$	0.497619	+	3.14184i	0.0228323	+	0.144158i
$476$	−7.20229	−	14.1353i	−0.330116	−	0.647890i
$477$	−0.0154943	−	0.0476864i	−0.000709433	−	0.00218341i
$478$	−5.16818	−	7.11339i	−0.236387	−	0.325359i
$479$	−1.41581	−	0.224243i	−0.0646902	−	0.0102459i	0.124005	−	0.992282i	$-0.460426\pi$
$479$	−1.41581	−	0.224243i	−0.0646902	−	0.0102459i	−0.188696	+	0.982036i	$0.560426\pi$
$480$	3.52529	+	10.8497i	0.160907	+	0.495219i
$481$	1.94586	+	3.05059i	0.0887236	+	0.139095i
$482$	−21.9751	−	15.9658i	−1.00094	−	0.727223i
$483$	17.0896	−	17.0896i	0.777606	−	0.777606i
$484$	7.98913	−	1.72073i	0.363142	−	0.0782148i
$485$			22.9563i			1.04239i
$486$	−1.10738	+	0.175392i	−0.0502319	+	0.00795595i
$487$	−16.4212	+	8.36701i	−0.744115	+	0.379145i	−0.784573	−	0.620036i	$-0.787118\pi$
$487$	−16.4212	+	8.36701i	−0.744115	+	0.379145i	0.0404588	+	0.999181i	$0.487118\pi$
$488$	−4.96425	−	2.52941i	−0.224721	−	0.114501i
$489$	0.0414894	−	0.261954i	0.00187622	−	0.0118460i
$490$	−6.73261	−	9.26664i	−0.304148	−	0.418624i
$491$	−2.11624	−	6.51310i	−0.0955044	−	0.293932i	0.891880	−	0.452271i	$-0.149386\pi$
$491$	−2.11624	−	6.51310i	−0.0955044	−	0.293932i	−0.987385	+	0.158339i	$0.949386\pi$
$492$	4.07890	−	2.07830i	0.183891	−	0.0936972i
$493$	25.0084	−	34.4212i	1.12632	−	1.55025i
$494$	−0.371389	−	3.83436i	−0.0167096	−	0.172516i
$495$	7.10842	−	6.41787i	0.319500	−	0.288462i
$496$	−0.545077	−	0.545077i	−0.0244747	−	0.0244747i
$497$	6.22113	−	8.56265i	0.279056	−	0.384087i
$498$	18.6400	+	6.05650i	0.835278	+	0.271398i
$499$	14.4489	−	28.3575i	0.646820	−	1.26946i	−0.301900	−	0.953340i	$-0.597621\pi$
$499$	14.4489	−	28.3575i	0.646820	−	1.26946i	0.948720	−	0.316117i	$-0.102379\pi$
$500$	3.52145	+	0.557743i	0.157484	+	0.0249430i
$501$	−3.55625	−	0.563255i	−0.158882	−	0.0251644i
$502$	−4.62697	+	9.08094i	−0.206512	+	0.405302i
$503$	−14.7068	−	4.77855i	−0.655746	−	0.213065i	−0.0378000	−	0.999285i	$-0.512035\pi$
$503$	−14.7068	−	4.77855i	−0.655746	−	0.213065i	−0.617946	+	0.786221i	$0.712035\pi$
$504$	−5.86802	+	8.07663i	−0.261382	+	0.359762i
$505$	−15.5844	−	15.5844i	−0.693496	−	0.693496i
$506$	−27.5294	+	2.93107i	−1.22383	+	0.130302i
$507$	−12.7583	+	2.49490i	−0.566618	+	0.110803i
$508$	−1.17634	+	1.61909i	−0.0521917	+	0.0718357i
$509$	−33.8848	+	17.2652i	−1.50192	+	0.765265i	−0.995294	−	0.0969027i	$-0.969106\pi$
$509$	−33.8848	+	17.2652i	−1.50192	+	0.765265i	−0.506623	+	0.862168i	$0.669106\pi$
$510$	6.58089	+	20.2539i	0.291407	+	0.896857i
$511$	17.7983	+	24.4973i	0.787352	+	1.08370i
$512$	−3.10063	+	19.5766i	−0.137030	+	0.865173i
$513$	0.849086	+	0.432631i	0.0374880	+	0.0191011i
$514$	9.27858	−	4.72767i	0.409261	−	0.208529i
$515$	11.8451	−	1.87608i	0.521958	−	0.0826700i
$516$		−	6.79821i		−	0.299274i
$517$	38.6638	−	17.2769i	1.70043	−	0.759836i
$518$	2.58274	−	2.58274i	0.113479	−	0.113479i
$519$	4.50774	+	3.27507i	0.197868	+	0.143759i
$520$	31.2633	+	6.91241i	1.37098	+	0.303129i
$521$	−5.53905	−	17.0474i	−0.242670	−	0.746862i	−0.996011	−	0.0892317i	$-0.971559\pi$
$521$	−5.53905	−	17.0474i	−0.242670	−	0.746862i	0.753341	−	0.657630i	$-0.228441\pi$
$522$	−7.16266	−	1.13445i	−0.313501	−	0.0496537i
$523$	4.49761	+	6.19043i	0.196667	+	0.270689i	0.895949	−	0.444157i	$-0.146497\pi$
$523$	4.49761	+	6.19043i	0.196667	+	0.270689i	−0.699282	+	0.714846i	$0.746497\pi$
$524$	−4.68304	−	14.4129i	−0.204580	−	0.629631i
$525$	−4.91948	−	9.65503i	−0.214704	−	0.421380i
$526$	−0.789520	−	4.98484i	−0.0344247	−	0.217349i
$527$	1.82732	+	1.82732i	0.0795995	+	0.0795995i
$528$	6.28372	−	1.69282i	0.273464	−	0.0736707i
$529$	−32.4293			−1.40997
$530$	0.131328	+	0.0954152i	0.00570451	+	0.00414457i
$531$	2.37613	+	4.66342i	0.103115	+	0.202375i
$532$	2.18579	−	0.710207i	0.0947662	−	0.0307914i
$533$	1.34380	−	22.1761i	0.0582063	−	0.960552i
$534$	−3.15479	−	4.34220i	−0.136521	−	0.187905i
$535$	12.3566	+	6.29603i	0.534225	+	0.272201i
$536$	−19.0463	−	6.18850i	−0.822673	−	0.267303i
$537$	13.1071	−	18.0403i	0.565612	−	0.778498i
$538$	12.0674	−	12.0674i	0.520264	−	0.520264i
$539$	9.83241	−	6.40415i	0.423512	−	0.275846i
$540$	−1.51695	+	1.51695i	−0.0652791	+	0.0652791i
$541$	−0.169803	−	1.07210i	−0.00730041	−	0.0460930i	0.983769	−	0.179438i	$-0.0574280\pi$
$541$	−0.169803	−	1.07210i	−0.00730041	−	0.0460930i	−0.991070	+	0.133345i	$0.957428\pi$
$542$	−1.16595	+	3.58843i	−0.0500819	+	0.154136i
$543$	−12.4083	+	4.03169i	−0.532489	+	0.173016i
$544$	4.06540	−	25.6679i	0.174303	−	1.10050i
$545$	−28.6374	+	20.8063i	−1.22669	+	0.891244i
$546$	5.23951	+	12.0315i	0.224230	+	0.514900i
$547$	30.2474	+	9.82798i	1.29329	+	0.420214i	0.873241	−	0.487289i	$-0.162014\pi$
$547$	30.2474	+	9.82798i	1.29329	+	0.420214i	0.420045	+	0.907503i	$0.362014\pi$
$548$	−0.769051	−	4.85559i	−0.0328522	−	0.207421i
$549$		−	1.81167i		−	0.0773200i
$550$	−2.56435	+	12.1450i	−0.109344	+	0.517864i
$551$	4.35845	+	4.35845i	0.185676	+	0.185676i
$552$	22.6143	−	3.58176i	0.962530	−	0.152450i
$553$	20.9695	+	41.1550i	0.891714	+	1.75009i
$554$	10.4244	+	5.31148i	0.442889	+	0.225663i
$555$	2.34439	−	1.70330i	0.0995137	−	0.0723009i
$556$	−2.81242	+	2.04334i	−0.119273	+	0.0866569i
$557$	12.4115	−	24.3589i	0.525892	−	1.03212i	−0.463397	−	0.886151i	$-0.653369\pi$
$557$	12.4115	−	24.3589i	0.525892	−	1.03212i	0.989289	−	0.145971i	$-0.0466305\pi$
$558$	0.136113	−	0.418912i	0.00576212	−	0.0177340i
$559$	−28.4365	−	16.7288i	−1.20274	−	0.707554i
$560$		−	18.3927i		−	0.777233i
$561$	−21.0656	+	5.67504i	−0.889391	+	0.239600i
$562$	−13.9364			−0.587873
$563$	5.11688	+	3.71763i	0.215651	+	0.156679i	0.690367	−	0.723460i	$-0.257449\pi$
$563$	5.11688	+	3.71763i	0.215651	+	0.156679i	−0.474716	+	0.880139i	$0.657449\pi$
$564$	−8.45229	+	4.30666i	−0.355906	+	0.181343i
$565$	−10.6360	+	20.8744i	−0.447461	+	0.878191i
$566$	−5.24228	+	33.0985i	−0.220350	+	1.39123i
$567$	−3.20626	−	0.507821i	−0.134650	−	0.0213265i
$568$	9.53614	−	3.09848i	0.400128	−	0.130009i
$569$	−0.989154	+	3.04430i	−0.0414675	+	0.127624i	−0.969647	−	0.244509i	$-0.921373\pi$
$569$	−0.989154	+	3.04430i	−0.0414675	+	0.127624i	0.928180	+	0.372133i	$0.121373\pi$
$570$	−3.04720	+	0.482629i	−0.127633	+	0.0202151i
$571$	−14.6428			−0.612781			−0.306391	−	0.951906i	$-0.599121\pi$
$571$	−14.6428			−0.612781			−0.306391	+	0.951906i	$0.599121\pi$
$572$	−2.35782	+	8.56569i	−0.0985853	+	0.358149i
$573$	−19.8313			−0.828466
$574$	−22.1506	+	3.50831i	−0.924547	+	0.146434i
$575$	−7.67973	+	23.6358i	−0.320267	+	0.985680i
$576$	−7.94498	+	2.58148i	−0.331041	+	0.107562i
$577$	−16.8628	−	2.67081i	−0.702008	−	0.111187i	−0.204781	−	0.978808i	$-0.565648\pi$
$577$	−16.8628	−	2.67081i	−0.702008	−	0.111187i	−0.497227	+	0.867621i	$0.665648\pi$
$578$	4.60749	−	29.0906i	0.191646	−	1.21001i
$579$	−8.69465	+	17.0642i	−0.361337	+	0.709165i
$580$	−12.3636	+	6.29955i	−0.513369	+	0.261574i
$581$	45.9090	+	33.3548i	1.90463	+	1.38379i
$582$	−8.91347			−0.369475
$583$	−0.104479	+	0.129378i	−0.00432710	+	0.00535831i
$584$			28.6864i			1.18705i
$585$	2.61246	+	10.0782i	0.108012	+	0.416682i
$586$	0.524511	−	1.61428i	0.0216674	−	0.0666853i
$587$	−11.3142	+	22.2054i	−0.466987	+	0.916513i	0.530636	+	0.847600i	$0.321953\pi$
$587$	−11.3142	+	22.2054i	−0.466987	+	0.916513i	−0.997623	+	0.0689132i	$0.978047\pi$
$588$	−2.12650	+	1.54499i	−0.0876954	+	0.0637144i
$589$	−0.302878	+	0.220053i	−0.0124799	+	0.00906714i
$590$	−15.0979	−	7.69274i	−0.621569	−	0.316705i
$591$	5.53028	+	10.8538i	0.227485	+	0.446465i
$592$	1.94488	−	0.308039i	0.0799342	−	0.0126603i
$593$	−24.8171	−	24.8171i	−1.01912	−	1.01912i	−0.999814	−	0.0193041i	$-0.993855\pi$
$593$	−24.8171	−	24.8171i	−1.01912	−	1.01912i	−0.0193041	−	0.999814i	$-0.506145\pi$
$594$	2.49193	+	2.76006i	0.102245	+	0.113247i
$595$			61.6599i			2.52781i
$596$	1.18253	+	7.46618i	0.0484382	+	0.305827i
$597$	17.4099	+	5.65683i	0.712541	+	0.231519i
$598$	11.0147	−	28.0087i	0.450424	−	1.14536i
$599$	−16.6891	+	12.1253i	−0.681897	+	0.495427i	−0.873986	−	0.485951i	$-0.838474\pi$
$599$	−16.6891	+	12.1253i	−0.681897	+	0.495427i	0.192090	+	0.981377i	$0.438474\pi$
$600$	1.60591	−	10.1393i	0.0655609	−	0.413936i
$601$	19.6261	−	6.37691i	0.800566	−	0.260120i	0.119969	−	0.992778i	$-0.461720\pi$
$601$	19.6261	−	6.37691i	0.800566	−	0.260120i	0.680597	+	0.732658i	$0.261720\pi$
$602$	−10.2915	+	31.6740i	−0.419451	+	1.29094i
$603$	−1.01869	−	6.43175i	−0.0414842	−	0.261921i
$604$	8.18802	−	8.18802i	0.333166	−	0.333166i
$605$	−30.7031	−	8.13798i	−1.24826	−	0.330856i
$606$	6.05111	−	6.05111i	0.245810	−	0.245810i
$607$	12.2216	−	16.8215i	0.496058	−	0.682765i	−0.485433	−	0.874274i	$-0.661338\pi$
$607$	12.2216	−	16.8215i	0.496058	−	0.682765i	0.981491	+	0.191509i	$0.0613380\pi$
$608$	3.58060	+	1.16341i	0.145213	+	0.0471825i
$609$	−18.7084	−	9.53238i	−0.758101	−	0.386272i
$610$	3.44752	+	4.74511i	0.139586	+	0.192124i
$611$	−2.78461	+	45.9532i	−0.112653	+	1.85907i
$612$	4.64785	−	1.51018i	0.187878	−	0.0610453i
$613$	4.38179	+	8.59976i	0.176979	+	0.347341i	0.962407	−	0.271613i	$-0.0875569\pi$
$613$	4.38179	+	8.59976i	0.176979	+	0.347341i	−0.785428	+	0.618953i	$0.787557\pi$
$614$	−7.44507	−	5.40916i	−0.300459	−	0.218296i
$615$	−17.7927			−0.717470
$616$	33.0677	+	1.68820i	1.33234	+	0.0680193i
$617$	9.11024	+	9.11024i	0.366764	+	0.366764i	0.866296	−	0.499531i	$-0.166494\pi$
$617$	9.11024	+	9.11024i	0.366764	+	0.366764i	−0.499531	+	0.866296i	$0.666494\pi$
$618$	0.728446	+	4.59922i	0.0293024	+	0.185008i
$619$	15.6526	+	30.7199i	0.629129	+	1.23474i	0.957021	+	0.290020i	$0.0936620\pi$
$619$	15.6526	+	30.7199i	0.629129	+	1.23474i	−0.327891	+	0.944715i	$0.606338\pi$
$620$	−0.260440	−	0.801552i	−0.0104595	−	0.0321911i
$621$	4.37611	+	6.02320i	0.175607	+	0.241703i
$622$	15.2114	+	2.40925i	0.609922	+	0.0966022i
$623$	−4.80214	−	14.7795i	−0.192394	−	0.592126i
$624$	−1.52734	+	6.90783i	−0.0611427	+	0.276535i
$625$	−24.7136	−	17.9555i	−0.988543	−	0.718218i
$626$	24.3771	−	24.3771i	0.974303	−	0.974303i
$627$	−0.334618	−	3.14282i	−0.0133634	−	0.125512i
$628$			0.402036i			0.0160430i
$629$	−6.52005	+	1.03267i	−0.259971	+	0.0411754i
$630$	9.36418	−	4.77129i	0.373078	−	0.190093i
$631$	10.7664	+	5.48576i	0.428604	+	0.218385i	0.654966	−	0.755659i	$-0.272683\pi$
$631$	10.7664	+	5.48576i	0.428604	+	0.218385i	−0.226361	+	0.974043i	$0.572683\pi$
$632$	−6.84526	+	43.2193i	−0.272290	+	1.71917i
$633$	3.56130	+	4.90170i	0.141549	+	0.194825i
$634$	8.83171	+	27.1812i	0.350752	+	1.07950i
$635$	6.93065	−	3.53134i	0.275035	−	0.140137i
$636$	0.0218958	−	0.0301370i	0.000868225	−	0.00119501i
$637$	1.22980	+	12.6969i	0.0487264	+	0.503070i
$638$	9.81250	+	21.9593i	0.388481	+	0.869378i
$639$	2.30546	+	2.30546i	0.0912025	+	0.0912025i
$640$	2.48604	−	3.42174i	0.0982692	−	0.135256i
$641$	−39.1362	−	12.7161i	−1.54579	−	0.502257i	−0.592822	−	0.805334i	$-0.701986\pi$
$641$	−39.1362	−	12.7161i	−1.54579	−	0.502257i	−0.952966	+	0.303077i	$0.901986\pi$
$642$	−2.44462	+	4.79784i	−0.0964816	+	0.189356i
$643$	37.7168	+	5.97376i	1.48741	+	0.235582i	0.846645	−	0.532158i	$-0.178619\pi$
$643$	37.7168	+	5.97376i	1.48741	+	0.235582i	0.640761	+	0.767740i	$0.278619\pi$
$644$	17.7346	+	2.80889i	0.698842	+	0.110686i
$645$	−11.9955	+	23.5426i	−0.472324	+	0.926988i
$646$	6.68415	+	2.17181i	0.262985	+	0.0854489i
$647$	15.1146	−	20.8035i	0.594217	−	0.817869i	−0.400947	−	0.916101i	$-0.631319\pi$
$647$	15.1146	−	20.8035i	0.594217	−	0.817869i	0.995164	+	0.0982321i	$0.0313187\pi$
$648$	−2.17460	−	2.17460i	−0.0854263	−	0.0854263i
$649$	8.65909	−	15.0449i	0.339899	−	0.590564i
$650$	−10.4172	−	8.57743i	−0.408597	−	0.336434i
$651$	0.749611	−	1.03175i	0.0293796	−	0.0404375i
$652$	0.175566	−	0.0894551i	0.00687568	−	0.00350333i
$653$	−4.75077	−	14.6214i	−0.185912	−	0.572179i	0.814051	−	0.580794i	$-0.197258\pi$
$653$	−4.75077	−	14.6214i	−0.185912	−	0.572179i	−0.999963	+	0.00861504i	$0.997258\pi$
$654$	−8.07868	−	11.1193i	−0.315901	−	0.434801i
$655$	−9.21418	+	58.1761i	−0.360028	+	2.27313i
$656$	−10.7727	−	5.48896i	−0.420603	−	0.214308i
$657$	−8.31118	+	4.23476i	−0.324250	+	0.165214i
$658$	45.9004	−	7.26990i	1.78938	−	0.283410i
$659$			21.9135i			0.853628i	0.904340	+	0.426814i	$0.140364\pi$
$659$			21.9135i			0.853628i	−0.904340	+	0.426814i	$0.859636\pi$
$660$	6.96164	+	1.46991i	0.270981	+	0.0572162i
$661$	−18.0727	+	18.0727i	−0.702947	+	0.702947i	−0.965042	−	0.262095i	$-0.915587\pi$
$661$	−18.0727	+	18.0727i	−0.702947	+	0.702947i	0.262095	+	0.965042i	$0.415587\pi$
$662$	−16.7601	−	12.1770i	−0.651402	−	0.473271i
$663$	5.12028	−	23.1579i	0.198855	−	0.899378i
$664$	16.6126	+	51.1284i	0.644695	+	1.98417i
$665$	−8.82270	−	1.39738i	−0.342130	−	0.0541880i
$666$	0.661357	+	0.910280i	0.0256271	+	0.0352726i
$667$	14.8809	+	45.7986i	0.576189	+	1.77333i
$668$	−1.21443	−	2.38346i	−0.0469878	−	0.0922187i
$669$	0.923283	+	5.82938i	0.0356962	+	0.225377i
$670$	14.9075	+	14.9075i	0.575926	+	0.575926i
$671$	−5.03482	+	3.27933i	−0.194367	+	0.126597i
$672$	−12.8250			−0.494736
$673$	17.5499	+	12.7508i	0.676500	+	0.491506i	0.872195	−	0.489159i	$-0.162696\pi$
$673$	17.5499	+	12.7508i	0.676500	+	0.491506i	−0.195695	+	0.980665i	$0.562696\pi$
$674$	−6.68814	−	13.1262i	−0.257618	−	0.505603i
$675$	3.17468	−	1.03152i	0.122194	−	0.0397031i
$676$	−7.07100	−	6.57892i	−0.271961	−	0.253035i
$677$	−21.9338	−	30.1894i	−0.842986	−	1.16027i	−0.985365	−	0.170459i	$-0.945475\pi$
$677$	−21.9338	−	30.1894i	−0.842986	−	1.16027i	0.142379	−	0.989812i	$-0.454525\pi$
$678$	−8.10511	−	4.12976i	−0.311275	−	0.158602i
$679$	−24.5445	−	7.97498i	−0.941930	−	0.306052i
$680$	−34.3350	+	47.2581i	−1.31669	+	1.81226i
$681$	10.7595	−	10.7595i	0.412304	−	0.412304i
$682$	−1.41058	+	0.380009i	−0.0540141	+	0.0145513i
$683$	−6.72045	+	6.72045i	−0.257151	+	0.257151i	−0.823894	−	0.566743i	$-0.808203\pi$
$683$	−6.72045	+	6.72045i	−0.257151	+	0.257151i	0.566743	+	0.823894i	$0.308203\pi$
$684$	0.110753	+	0.699269i	0.00423476	+	0.0267372i
$685$	−5.90451	+	18.1722i	−0.225600	+	0.694324i
$686$	−11.9838	+	3.89377i	−0.457543	+	0.148665i
$687$	1.02764	−	6.48829i	0.0392071	−	0.247544i
$688$	−14.5256	+	10.5534i	−0.553782	+	0.402346i
$689$	−0.0721809	−	0.165749i	−0.00274987	−	0.00631454i
$690$	−22.9238	−	7.44839i	−0.872694	−	0.283555i
$691$	2.10242	+	13.2742i	0.0799799	+	0.504973i	0.994861	+	0.101250i	$0.0322842\pi$
$691$	2.10242	+	13.2742i	0.0799799	+	0.504973i	−0.914881	+	0.403723i	$0.867716\pi$
$692$			4.13957i			0.157363i
$693$	4.39242	+	9.82977i	0.166854	+	0.373402i
$694$	−10.2919	−	10.2919i	−0.390675	−	0.390675i
$695$	13.3451	−	2.11365i	0.506207	−	0.0801753i
$696$	−9.03062	−	17.7236i	−0.342305	−	0.671811i
$697$	36.1145	+	18.4012i	1.36793	+	0.696997i
$698$	−1.85021	+	1.34426i	−0.0700315	+	0.0508809i
$699$	−14.0011	+	10.1724i	−0.529572	+	0.384756i
$700$	3.65488	−	7.17311i	0.138141	−	0.271118i
$701$	11.6408	−	35.8266i	0.439666	−	1.35315i	−0.448563	−	0.893751i	$-0.648064\pi$
$701$	11.6408	−	35.8266i	0.439666	−	1.35315i	0.888229	−	0.459401i	$-0.151936\pi$
$702$	−3.91316	+	1.01437i	−0.147693	+	0.0382848i
$703$		−	0.956334i		−	0.0360688i
$704$	21.5556	+	17.4072i	0.812407	+	0.656058i
$705$	36.8699			1.38860
$706$	−32.5819	−	23.6721i	−1.22624	−	0.890913i
$707$	22.0766	−	11.2486i	0.830275	−	0.423046i
$708$	−1.76532	+	3.46464i	−0.0663449	+	0.130209i
$709$	−2.83606	+	17.9062i	−0.106510	+	0.672480i	0.875438	+	0.483331i	$0.160573\pi$
$709$	−2.83606	+	17.9062i	−0.106510	+	0.672480i	−0.981948	+	0.189150i	$0.939427\pi$
$710$	−10.4256	−	1.65126i	−0.391267	−	0.0619706i
$711$	−13.5322	+	4.39689i	−0.507498	+	0.164896i
$712$	4.54936	−	14.0015i	0.170495	−	0.524728i
$713$	−2.88887	+	0.457552i	−0.108189	+	0.0171355i
$714$	−23.9413			−0.895981
$715$	23.2795	−	25.5030i	0.870605	−	0.953760i
$716$	16.5669			0.619133
$717$	7.74570	−	1.22680i	0.289268	−	0.0458156i
$718$	3.13465	−	9.64745i	0.116984	−	0.360040i
$719$	36.8778	−	11.9823i	1.37531	−	0.446865i	0.474185	−	0.880425i	$-0.342743\pi$
$719$	36.8778	−	11.9823i	1.37531	−	0.446865i	0.901125	+	0.433560i	$0.142743\pi$
$720$	5.59612	+	0.886338i	0.208555	+	0.0330319i
$721$	−2.10910	+	13.3163i	−0.0785471	+	0.495927i
$722$	9.20892	−	18.0735i	0.342720	−	0.672627i
$723$	21.5862	−	10.9987i	0.802798	−	0.409046i
$724$	−7.84180	−	5.69740i	−0.291438	−	0.211742i
$725$	21.5909			0.801865
$726$	3.15982	−	11.9214i	0.117272	−	0.442445i
$727$		−	25.9495i		−	0.962412i	−0.876607	−	0.481206i	$-0.840199\pi$
$727$		−	25.9495i		−	0.962412i	0.876607	−	0.481206i	$-0.159801\pi$
$728$	−18.2515	+	31.0248i	−0.676444	+	1.14986i
$729$	0.309017	−	0.951057i	0.0114451	−	0.0352243i
$730$	13.7101	−	26.9075i	0.507432	−	0.995891i
$731$	48.6956	−	35.3794i	1.80107	−	1.30856i
$732$	1.08890	−	0.791135i	0.0402470	−	0.0292412i
$733$	6.94010	+	3.53616i	0.256338	+	0.130611i	0.577438	−	0.816434i	$-0.304052\pi$
$733$	6.94010	+	3.53616i	0.256338	+	0.130611i	−0.321100	+	0.947045i	$0.604052\pi$
$734$	−8.21461	−	16.1221i	−0.303207	−	0.595077i
$735$	10.0904	−	1.59816i	0.372188	−	0.0589488i
$736$	20.7986	+	20.7986i	0.766646	+	0.766646i
$737$	−16.0306	+	14.4733i	−0.590494	+	0.533130i
$738$		−	6.90854i		−	0.254307i
$739$	4.96330	+	31.3370i	0.182578	+	1.15275i	0.893361	+	0.449340i	$0.148341\pi$
$739$	4.96330	+	31.3370i	0.182578	+	1.15275i	−0.710783	+	0.703411i	$0.751659\pi$
$740$	2.04754	+	0.665285i	0.0752690	+	0.0244564i
$741$	3.19754	+	1.25746i	0.117465	+	0.0461941i
$742$	−0.147639	+	0.107266i	−0.00542002	+	0.00393787i
$743$	2.17704	−	13.7453i	0.0798679	−	0.504266i	−0.915031	−	0.403385i	$-0.867834\pi$
$743$	2.17704	−	13.7453i	0.0798679	−	0.504266i	0.994898	−	0.100881i	$-0.0321663\pi$
$744$	1.14905	−	0.373349i	0.0421263	−	0.0136877i
$745$	9.07904	−	27.9424i	0.332630	−	1.02373i
$746$	−2.69259	−	17.0004i	−0.0985829	−	0.622428i
$747$	−12.3608	+	12.3608i	−0.452258	+	0.452258i
$748$	−12.6101	−	10.1833i	−0.461071	−	0.372338i
$749$	−11.0243	+	11.0243i	−0.402819	+	0.402819i
$750$	3.16260	−	4.35295i	0.115482	−	0.158947i
$751$	−21.8805	−	7.10941i	−0.798431	−	0.259426i	−0.118741	−	0.992925i	$-0.537886\pi$
$751$	−21.8805	−	7.10941i	−0.798431	−	0.259426i	−0.679690	+	0.733499i	$0.737886\pi$
$752$	22.3231	+	11.3742i	0.814041	+	0.414774i
$753$	−5.34307	−	7.35410i	−0.194712	−	0.267998i
$754$	−26.0994	−	1.58154i	−0.950483	−	0.0575962i
$755$	−42.8035	+	13.9077i	−1.55778	+	0.506153i
$756$	−1.09491	−	2.14888i	−0.0398215	−	0.0781542i
$757$	12.0862	+	8.78115i	0.439281	+	0.319156i	0.785349	−	0.619053i	$-0.212483\pi$
$757$	12.0862	+	8.78115i	0.439281	+	0.319156i	−0.346068	+	0.938209i	$0.612483\pi$
$758$	−13.8141			−0.501752
$759$	8.81785	−	23.0644i	0.320068	−	0.837185i
$760$	−5.98387	−	5.98387i	−0.217058	−	0.217058i
$761$	6.57478	+	41.5115i	0.238336	+	1.50479i	0.759034	+	0.651051i	$0.225672\pi$
$761$	6.57478	+	41.5115i	0.238336	+	1.50479i	−0.520698	+	0.853741i	$0.674328\pi$
$762$	1.37115	+	2.69104i	0.0496716	+	0.0974860i
$763$	−12.2971	−	37.8467i	−0.445187	−	1.37014i
$764$	−8.66014	−	11.9197i	−0.313313	−	0.431238i
$765$	−18.7605	−	2.97137i	−0.678287	−	0.107430i
$766$	−4.36512	−	13.4345i	−0.157718	−	0.485406i
$767$	10.1484	+	15.9099i	0.366436	+	0.574475i
$768$	−12.1882	−	8.85526i	−0.439804	−	0.319537i
$769$	−13.7960	+	13.7960i	−0.497495	+	0.497495i	−0.910657	−	0.413162i	$-0.864424\pi$
$769$	−13.7960	+	13.7960i	−0.497495	+	0.497495i	0.413162	+	0.910657i	$0.364424\pi$
$770$	−30.2102	−	17.3875i	−1.08870	−	0.626602i
$771$			9.28801i			0.334500i
$772$	−14.0533	+	2.22583i	−0.505790	+	0.0801093i
$773$	33.3641	−	16.9999i	1.20002	−	0.611442i	0.264390	−	0.964416i	$-0.414830\pi$
$773$	33.3641	−	16.9999i	1.20002	−	0.611442i	0.935633	+	0.352974i	$0.114830\pi$
$774$	−9.14112	−	4.65763i	−0.328571	−	0.167415i
$775$	−0.205147	+	1.29525i	−0.00736910	+	0.0465267i
$776$	−14.3708	−	19.7797i	−0.515883	−	0.710051i
$777$	1.00670	+	3.09830i	0.0361152	+	0.111151i
$778$	−20.7708	+	10.5833i	−0.744671	+	0.379429i
$779$	−3.45142	+	4.75047i	−0.123660	+	0.170203i
$780$	−4.91667	+	5.97126i	−0.176045	+	0.213805i
$781$	2.23397	−	10.5803i	0.0799376	−	0.378592i
$782$	38.8261	+	38.8261i	1.38842	+	1.38842i
$783$	3.80185	−	5.23280i	0.135867	−	0.187005i
$784$	6.60229	+	2.14521i	0.235796	+	0.0766148i
$785$	0.709399	−	1.39227i	0.0253195	−	0.0496924i
$786$	−22.5886	−	3.57769i	−0.805709	−	0.127612i
$787$	44.1170	+	6.98744i	1.57260	+	0.249075i	0.880968	−	0.473175i	$-0.156892\pi$
$787$	44.1170	+	6.98744i	1.57260	+	0.249075i	0.691631	+	0.722251i	$0.256892\pi$
$788$	−4.10867	+	8.06371i	−0.146365	+	0.287258i
$789$	4.28114	+	1.39103i	0.152413	+	0.0495218i
$790$	27.0765	−	37.2676i	0.963338	−	1.32592i
$791$	−18.6236	−	18.6236i	−0.662179	−	0.662179i
$792$	−2.10717	+	9.97974i	−0.0748749	+	0.354615i
$793$	−0.629735	−	6.50163i	−0.0223626	−	0.230880i
$794$	20.1623	−	27.7510i	0.715533	−	0.984847i
$795$	−0.129004	+	0.0657306i	−0.00457529	+	0.00233122i
$796$	4.20268	+	12.9345i	0.148960	+	0.458452i
$797$	−7.51041	−	10.3372i	−0.266032	−	0.366162i	0.655013	−	0.755618i	$-0.272663\pi$
$797$	−7.51041	−	10.3372i	−0.266032	−	0.366162i	−0.921045	+	0.389456i	$0.872663\pi$
$798$	0.542575	−	3.42568i	0.0192069	−	0.121268i
$799$	−74.8363	−	38.1310i	−2.64752	−	1.34898i
$800$	11.7504	−	5.98715i	0.415441	−	0.211678i
$801$	4.72818	−	0.748869i	0.167062	−	0.0264600i
$802$			30.6416i			1.08199i
$803$	26.8131	+	15.4323i	0.946214	+	0.544593i
$804$	3.42096	−	3.42096i	0.120648	−	0.120648i
$805$	−56.4596	−	41.0203i	−1.98994	−	1.44578i
$806$	0.342862	−	1.55069i	0.0120768	−	0.0546206i
$807$	4.70364	+	14.4763i	0.165576	+	0.509590i
$808$	23.1839	+	3.67197i	0.815607	+	0.129179i
$809$	17.0308	+	23.4409i	0.598772	+	0.824138i	0.995595	−	0.0937566i	$-0.0298875\pi$
$809$	17.0308	+	23.4409i	0.598772	+	0.824138i	−0.396824	+	0.917895i	$0.629888\pi$
$810$	1.00044	+	3.07905i	0.0351520	+	0.108187i
$811$	19.9403	+	39.1351i	0.700200	+	1.37422i	0.917350	+	0.398082i	$0.130324\pi$
$811$	19.9403	+	39.1351i	0.700200	+	1.37422i	−0.217150	+	0.976138i	$0.569676\pi$
$812$	−2.44029	−	15.4074i	−0.0856373	−	0.540693i
$813$	−2.37961	−	2.37961i	−0.0834565	−	0.0834565i
$814$	1.33263	−	3.48570i	0.0467088	−	0.122174i
$815$	−0.765839			−0.0268262
$816$	−10.4420	−	7.58656i	−0.365543	−	0.265583i
$817$	3.95875	+	7.76948i	0.138499	+	0.271820i
$818$	36.7153	−	11.9295i	1.28372	−	0.417106i
$819$	−11.6830	−	0.707951i	−0.408237	−	0.0247378i
$820$	−7.76987	−	10.6943i	−0.271336	−	0.373461i
$821$	11.1224	+	5.66716i	0.388176	+	0.197785i	0.637177	−	0.770718i	$-0.280102\pi$
$821$	11.1224	+	5.66716i	0.388176	+	0.197785i	−0.249001	+	0.968503i	$0.580102\pi$
$822$	−7.05591	−	2.29260i	−0.246103	−	0.0799637i
$823$	−3.60634	+	4.96370i	−0.125709	+	0.173024i	−0.867233	−	0.497903i	$-0.834104\pi$
$823$	−3.60634	+	4.96370i	−0.125709	+	0.173024i	0.741524	+	0.670927i	$0.234104\pi$
$824$	−9.03163	+	9.03163i	−0.314632	+	0.314632i
$825$	−8.61326	−	6.95563i	−0.299875	−	0.242164i
$826$	13.4699	−	13.4699i	0.468679	−	0.468679i
$827$	−7.73771	−	48.8540i	−0.269067	−	1.69882i	−0.638549	−	0.769581i	$-0.720465\pi$
$827$	−7.73771	−	48.8540i	−0.269067	−	1.69882i	0.369482	−	0.929238i	$-0.379535\pi$
$828$	−1.70925	+	5.26053i	−0.0594006	+	0.182816i
$829$	−35.1888	+	11.4335i	−1.22216	+	0.397103i	−0.847868	−	0.530208i	$-0.822114\pi$
$829$	−35.1888	+	11.4335i	−1.22216	+	0.397103i	−0.374291	+	0.927311i	$0.622114\pi$
$830$	8.85329	−	55.8974i	0.307302	−	1.94023i
$831$	−8.44205	+	6.13351i	−0.292852	+	0.212769i
$832$	−27.6153	+	12.0260i	−0.957388	+	0.416926i
$833$	−22.1336	−	7.19164i	−0.766884	−	0.249176i
$834$	0.820689	+	5.18162i	0.0284181	+	0.179425i
$835$			10.3969i			0.359800i
$836$	1.74287	−	1.57356i	0.0602784	−	0.0544226i
$837$	0.277795	+	0.277795i	0.00960199	+	0.00960199i
$838$	43.4064	−	6.87490i	1.49945	−	0.237489i
$839$	−6.76374	−	13.2746i	−0.233510	−	0.458290i	0.744282	−	0.667865i	$-0.232792\pi$
$839$	−6.76374	−	13.2746i	−0.233510	−	0.458290i	−0.977792	+	0.209576i	$0.932792\pi$
$840$	25.6854	+	13.0874i	0.886230	+	0.451557i
$841$	10.3847	−	7.54495i	0.358094	−	0.260171i
$842$	6.34487	−	4.60982i	0.218659	−	0.158865i
$843$	5.64313	−	11.0753i	0.194360	−	0.381452i
$844$	−1.39099	+	4.28104i	−0.0478800	+	0.147360i
$845$	12.8787	+	35.2601i	0.443039	+	1.21298i
$846$			14.3159i			0.492190i
$847$	19.3672	−	30.0001i	0.665465	−	1.03082i
$848$	−0.0983836			−0.00337851
$849$	−24.1806	−	17.5683i	−0.829877	−	0.602941i
$850$	21.9354	−	11.1766i	0.752376	−	0.383355i
$851$	3.39200	−	6.65717i	0.116276	−	0.228205i
$852$	−0.378929	+	2.39247i	−0.0129819	+	0.0819645i
$853$	12.5510	+	1.98788i	0.429738	+	0.0680639i	0.367557	−	0.930001i	$-0.380194\pi$
$853$	12.5510	+	1.98788i	0.429738	+	0.0680639i	0.0621814	+	0.998065i	$0.480194\pi$
$854$	−6.27106	+	2.03759i	−0.214591	+	0.0697249i
$855$	0.850326	−	2.61703i	0.0290805	−	0.0895007i
$856$	−14.5882	+	2.31054i	−0.498614	+	0.0789727i
$857$	−9.97463			−0.340727			−0.170363	−	0.985381i	$-0.554494\pi$
$857$	−9.97463			−0.340727			−0.170363	+	0.985381i	$0.554494\pi$
$858$	9.90233	+	9.03899i	0.338060	+	0.308586i
$859$	47.0393			1.60496			0.802480	−	0.596680i	$-0.203514\pi$
$859$	47.0393			1.60496			0.802480	+	0.596680i	$0.203514\pi$
$860$	−19.3886	+	3.07086i	−0.661146	+	0.104715i
$861$	6.18115	−	19.0236i	0.210653	−	0.648324i
$862$	−28.6710	+	9.31577i	−0.976538	+	0.317296i
$863$	−17.1053	−	2.70921i	−0.582271	−	0.0922227i	−0.141651	−	0.989917i	$-0.545241\pi$
$863$	−17.1053	−	2.70921i	−0.582271	−	0.0922227i	−0.440620	+	0.897694i	$0.645241\pi$
$864$	0.618033	−	3.90211i	0.0210259	−	0.132752i
$865$	7.30434	−	14.3356i	0.248355	−	0.487424i
$866$	−16.5288	+	8.42182i	−0.561670	+	0.286185i
$867$	21.2526	+	15.4409i	0.721776	+	0.524401i
$868$	0.947482			0.0321596
$869$	36.7144	+	29.6487i	1.24545	+	1.00576i
$870$			20.9405i			0.709949i
$871$	−5.89150	−	22.7279i	−0.199626	−	0.770105i
$872$	11.6498	−	35.8545i	0.394514	−	1.21419i
$873$	3.60924	−	7.08353i	0.122154	−	0.239741i
$874$	−6.43540	+	4.67559i	−0.217681	+	0.158154i
$875$	12.6033	−	9.15683i	0.426069	−	0.309557i
$876$	−6.17471	−	3.14617i	−0.208624	−	0.106299i
$877$	−11.6611	−	22.8861i	−0.393766	−	0.772810i	0.605977	−	0.795482i	$-0.292783\pi$
$877$	−11.6611	−	22.8861i	−0.393766	−	0.772810i	−0.999743	+	0.0226725i	$0.992783\pi$
$878$	−32.3095	+	5.11732i	−1.09039	+	0.172701i
$879$	1.07048	+	1.07048i	0.0361065	+	0.0361065i
$880$	−7.66642	−	17.1566i	−0.258435	−	0.578349i
$881$			32.2366i			1.08608i	0.839707	+	0.543039i	$0.182726\pi$
$881$			32.2366i			1.08608i	−0.839707	+	0.543039i	$0.817274\pi$
$882$	0.620532	+	3.91789i	0.0208944	+	0.131922i
$883$	35.8224	+	11.6394i	1.20552	+	0.391698i	0.841789	−	0.539806i	$-0.181502\pi$
$883$	35.8224	+	11.6394i	1.20552	+	0.391698i	0.363732	+	0.931504i	$0.381502\pi$
$884$	16.1551	−	7.03525i	0.543353	−	0.236621i
$885$	12.2268	−	8.88331i	0.411001	−	0.298609i
$886$	−3.70337	+	23.3822i	−0.124417	+	0.785540i
$887$	−11.7487	+	3.81737i	−0.394481	+	0.128175i	−0.499539	−	0.866291i	$-0.666497\pi$
$887$	−11.7487	+	3.81737i	−0.394481	+	0.128175i	0.105058	+	0.994466i	$0.466497\pi$
$888$	−0.953709	+	2.93521i	−0.0320044	+	0.0984994i
$889$	1.36795	+	8.63693i	0.0458797	+	0.289673i
$890$	−10.9590	+	10.9590i	−0.367345	+	0.367345i
$891$	−3.20245	+	0.862734i	−0.107286	+	0.0289027i
$892$	−3.10057	+	3.10057i	−0.103815	+	0.103815i
$893$	7.15202	−	9.84392i	0.239333	−	0.329414i
$894$	10.8495	+	3.52521i	0.362861	+	0.117901i
$895$	−57.3720	−	29.2325i	−1.91774	−	0.977135i
$896$	2.79482	+	3.84674i	0.0933683	+	0.128510i
$897$	17.7985	+	20.0947i	0.594273	+	0.670941i
$898$	0.129210	−	0.0419829i	0.00431179	−	0.00140099i
$899$	1.15362	+	2.26410i	0.0384753	+	0.0755120i
$900$	2.00634	+	1.45769i	0.0668782	+	0.0485898i
$901$	0.329822			0.0109880
$902$	−19.1996	+	12.5053i	−0.639277	+	0.416381i
$903$	−21.0041	−	21.0041i	−0.698973	−	0.698973i
$904$	−3.90325	−	24.6442i	−0.129820	−	0.819653i
$905$	17.1034	+	33.5674i	0.568538	+	1.11582i
$906$	−5.40009	−	16.6198i	−0.179406	−	0.552154i
$907$	−27.1365	−	37.3503i	−0.901054	−	1.24019i	−0.970131	−	0.242583i	$-0.922005\pi$
$907$	−27.1365	−	37.3503i	−0.901054	−	1.24019i	0.0690763	−	0.997611i	$-0.477995\pi$
$908$	11.1656	+	1.76845i	0.370542	+	0.0586881i
$909$	2.35860	+	7.25903i	0.0782299	+	0.240767i
$910$	31.9473	−	20.3780i	1.05904	−	0.675524i
$911$	11.3233	+	8.22686i	0.375158	+	0.272568i	0.759346	−	0.650687i	$-0.225519\pi$
$911$	11.3233	+	8.22686i	0.375158	+	0.272568i	−0.384189	+	0.923255i	$0.625519\pi$
$912$	1.32218	−	1.32218i	0.0437817	−	0.0437817i
$913$	56.7266	+	11.9775i	1.87738	+	0.396398i
$914$		−	14.9790i		−	0.495462i
$915$	−5.16691	+	0.818357i	−0.170813	+	0.0270541i
$916$	4.34856	−	2.21570i	0.143680	−	0.0732088i
$917$	−58.9999	−	30.0619i	−1.94835	−	0.992733i
$918$	1.15372	−	7.28433i	0.0380786	−	0.240419i
$919$	−30.0844	−	41.4076i	−0.992392	−	1.36591i	−0.929879	−	0.367867i	$-0.880088\pi$
$919$	−30.0844	−	41.4076i	−0.992392	−	1.36591i	−0.0625138	−	0.998044i	$-0.519912\pi$
$920$	−20.4305	−	62.8786i	−0.673573	−	2.07305i
$921$	7.31331	−	3.72632i	0.240982	−	0.122786i
$922$	5.91936	−	8.14730i	0.194944	−	0.268317i
$923$	9.07510	+	7.47235i	0.298711	+	0.245955i
$924$	−3.99007	+	6.93262i	−0.131264	+	0.228067i
$925$	−2.36875	−	2.36875i	−0.0778839	−	0.0778839i
$926$	−3.89319	+	5.35852i	−0.127938	+	0.176092i
$927$	−3.94996	−	1.28342i	−0.129734	−	0.0421531i
$928$	11.6012	−	22.7686i	0.380828	−	0.747416i
$929$	−6.97952	−	1.10545i	−0.228991	−	0.0362686i	0.0408845	−	0.999164i	$-0.486982\pi$
$929$	−6.97952	−	1.10545i	−0.228991	−	0.0362686i	−0.269875	+	0.962895i	$0.586982\pi$
$930$	−1.25623	−	0.198967i	−0.0411934	−	0.00652440i
$931$	1.53063	−	3.00404i	0.0501645	−	0.0984534i
$932$	−12.2283	−	3.97321i	−0.400551	−	0.130147i
$933$	−8.07403	+	11.1130i	−0.264332	+	0.363822i
$934$	−21.5743	−	21.5743i	−0.705934	−	0.705934i
$935$	25.7010	+	57.5160i	0.840512	+	1.88098i
$936$	−8.56000	−	7.04822i	−0.279792	−	0.230378i
$937$	−2.51572	+	3.46260i	−0.0821851	+	0.113118i	−0.848130	−	0.529788i	$-0.822271\pi$
$937$	−2.51572	+	3.46260i	−0.0821851	+	0.113118i	0.765945	+	0.642906i	$0.222271\pi$
$938$	−21.1177	+	10.7600i	−0.689517	+	0.351326i
$939$	9.50169	+	29.2432i	0.310076	+	0.954315i
$940$	16.1007	+	22.1607i	0.525147	+	0.722803i
$941$	−5.23705	+	33.0654i	−0.170723	+	1.07790i	0.742322	+	0.670043i	$0.233725\pi$
$941$	−5.23705	+	33.0654i	−0.170723	+	1.07790i	−0.913045	+	0.407859i	$0.866275\pi$
$942$	0.540593	+	0.275446i	0.0176135	+	0.00897451i
$943$	−40.8751	+	20.8269i	−1.33108	+	0.678218i
$944$	10.1433	−	1.60654i	0.330135	−	0.0522883i
$945$			9.37370i			0.304926i
$946$	3.60245	+	33.8351i	0.117126	+	1.10007i
$947$	−10.8263	+	10.8263i	−0.351807	+	0.351807i	−0.860782	−	0.508974i	$-0.830025\pi$
$947$	−10.8263	+	10.8263i	−0.351807	+	0.351807i	0.508974	+	0.860782i	$0.330025\pi$
$948$	−8.55213	−	6.21349i	−0.277760	−	0.201805i
$949$	−28.3548	+	18.0865i	−0.920436	+	0.587112i
$950$	1.10211	+	3.39195i	0.0357572	+	0.110049i
$951$	−25.1770	−	3.98765i	−0.816421	−	0.129308i
$952$	−38.5996	−	53.1278i	−1.25102	−	1.72188i
$953$	−8.94243	−	27.5220i	−0.289674	−	0.891524i	−0.984959	−	0.172790i	$-0.944722\pi$
$953$	−8.94243	−	27.5220i	−0.289674	−	0.891524i	0.695285	−	0.718734i	$-0.255278\pi$
$954$	−0.0255219	−	0.0500896i	−0.000826302	−	0.00162171i
$955$	8.95813	+	56.5594i	0.289878	+	1.83022i
$956$	4.11983	+	4.11983i	0.133245	+	0.133245i
$957$	−21.4243	−	1.09377i	−0.692550	−	0.0353566i
$958$	−1.60718			−0.0519256
$959$	−17.3782	−	12.6260i	−0.561171	−	0.407715i
$960$	10.9513	+	21.4931i	0.353452	+	0.693688i
$961$	29.3360	−	9.53183i	0.946321	−	0.307478i
$962$	2.68986	+	3.03688i	0.0867246	+	0.0979131i
$963$	−2.82297	−	3.88548i	−0.0909689	−	0.125208i
$964$	16.0372	+	8.17138i	0.516524	+	0.263182i
$965$	52.5950	+	17.0891i	1.69309	+	0.550119i
$966$	15.9274	−	21.9222i	0.512455	−	0.705334i
$967$	−10.8179	+	10.8179i	−0.347881	+	0.347881i	−0.859320	−	0.511439i	$-0.829113\pi$
$967$	−10.8179	+	10.8179i	−0.347881	+	0.347881i	0.511439	+	0.859320i	$0.329113\pi$
$968$	31.5491	−	12.2085i	1.01402	−	0.392396i
$969$	−4.43248	+	4.43248i	−0.142392	+	0.142392i
$970$	4.02635	+	25.4214i	0.129278	+	0.816231i
$971$	8.75913	−	26.9578i	0.281094	−	0.865118i	−0.706448	−	0.707764i	$-0.749704\pi$
$971$	8.75913	−	26.9578i	0.281094	−	0.865118i	0.987542	−	0.157353i	$-0.0502962\pi$
$972$	0.706578	−	0.229581i	0.0226635	−	0.00736382i
$973$	−2.37618	+	15.0026i	−0.0761768	+	0.480961i
$974$	−16.7170	+	12.1456i	−0.535648	+	0.389171i
$975$	11.0346	−	4.80538i	0.353390	−	0.153895i
$976$	−3.38079	−	1.09849i	−0.108217	−	0.0351617i
$977$	−7.41400	−	46.8101i	−0.237195	−	1.49759i	−0.762674	−	0.646783i	$-0.776114\pi$
$977$	−7.41400	−	46.8101i	−0.237195	−	1.49759i	0.525479	−	0.850806i	$-0.323886\pi$
$978$		−	0.297360i		−	0.00950853i
$979$	−10.6398	−	11.7846i	−0.340048	−	0.376637i
$980$	5.36692	+	5.36692i	0.171440	+	0.171440i
$981$	12.1078	−	1.91768i	0.386571	−	0.0612268i
$982$	−3.48583	−	6.84133i	−0.111237	−	0.218316i
$983$	−12.7429	−	6.49285i	−0.406436	−	0.207090i	0.238807	−	0.971067i	$-0.423244\pi$
$983$	−12.7429	−	6.49285i	−0.406436	−	0.207090i	−0.645243	+	0.763978i	$0.723244\pi$
$984$	15.3306	−	11.1384i	0.488723	−	0.355078i
$985$	28.4571	−	20.6753i	0.906718	−	0.658769i
$986$	21.6567	−	42.5037i	0.689690	−	1.35359i
$987$	−12.8086	+	39.4207i	−0.407701	+	1.25478i
$988$	0.640533	+	2.47101i	0.0203781	+	0.0786133i
$989$			68.1256i			2.16627i
$990$	6.74610	−	8.35380i	0.214405	−	0.265501i
$991$	−21.0296			−0.668026			−0.334013	−	0.942568i	$-0.608403\pi$
$991$	−21.0296			−0.668026			−0.334013	+	0.942568i	$0.608403\pi$
$992$	1.25567	+	0.912298i	0.0398676	+	0.0289655i
$993$	16.4635	−	8.38859i	0.522454	−	0.266204i
$994$	5.38735	−	10.5733i	0.170876	−	0.335364i
$995$	8.26905	−	52.2087i	0.262146	−	1.65513i
$996$	−12.8273	−	2.03164i	−0.406449	−	0.0643751i
$997$	50.7654	−	16.4947i	1.60776	−	0.522392i	0.638747	−	0.769417i	$-0.279453\pi$
$997$	50.7654	−	16.4947i	1.60776	−	0.522392i	0.969009	+	0.247025i	$0.0794531\pi$
$998$	11.0268	−	33.9368i	0.349046	−	1.07425i
$999$	−0.991195	+	0.156990i	−0.0313600	+	0.00496694i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	429.2.bj.b.73.9	✓	112
11.8	odd	10	inner	429.2.bj.b.151.6	yes	112
13.5	odd	4	inner	429.2.bj.b.304.6	yes	112
143.96	even	20	inner	429.2.bj.b.382.9	yes	112

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
429.2.bj.b.73.9	✓	112	1.1	even	1	trivial
429.2.bj.b.151.6	yes	112	11.8	odd	10	inner
429.2.bj.b.304.6	yes	112	13.5	odd	4	inner
429.2.bj.b.382.9	yes	112	143.96	even	20	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:	\( N \)	\(=\)	\( 429 = 3 \cdot 11 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	429.bj (of order \(20\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(1.10738 - 0.175392i) q^{2} +(-0.309017 + 0.951057i) q^{3} +(-0.706578 + 0.229581i) q^{4} +(2.85202 + 0.451715i) q^{5} +(-0.175392 + 1.10738i) q^{6} +(-1.47375 + 2.89241i) q^{7} +(-2.74016 + 1.39618i) q^{8} +(-0.809017 - 0.587785i) q^{9} +O(q^{10})\)	\(q+(1.10738 - 0.175392i) q^{2} +(-0.309017 + 0.951057i) q^{3} +(-0.706578 + 0.229581i) q^{4} +(2.85202 + 0.451715i) q^{5} +(-0.175392 + 1.10738i) q^{6} +(-1.47375 + 2.89241i) q^{7} +(-2.74016 + 1.39618i) q^{8} +(-0.809017 - 0.587785i) q^{9} +3.23751 q^{10} +(-0.169103 + 3.31231i) q^{11} -0.742940i q^{12} +(-3.10768 - 1.82820i) q^{13} +(-1.12471 + 3.46149i) q^{14} +(-1.31093 + 2.57284i) q^{15} +(-1.58742 + 1.15333i) q^{16} +(5.32169 - 3.86643i) q^{17} +(-0.998985 - 0.509008i) q^{18} +(0.432631 + 0.849086i) q^{19} +(-2.11888 + 0.335598i) q^{20} +(-2.29543 - 2.29543i) q^{21} +(0.393692 + 3.69766i) q^{22} +7.44508i q^{23} +(-0.481090 - 3.03749i) q^{24} +(3.17468 + 1.03152i) q^{25} +(-3.76204 - 1.47946i) q^{26} +(0.809017 - 0.587785i) q^{27} +(0.377281 - 2.38206i) q^{28} +(6.15152 - 1.99875i) q^{29} +(-1.00044 + 3.07905i) q^{30} +(0.0614570 + 0.388024i) q^{31} +(2.79360 - 2.79360i) q^{32} +(-3.09794 - 1.18439i) q^{33} +(5.21500 - 5.21500i) q^{34} +(-5.50972 + 7.58348i) q^{35} +(0.706578 + 0.229581i) q^{36} +(-0.894170 - 0.455602i) q^{37} +(0.628011 + 0.864383i) q^{38} +(2.69905 - 2.39063i) q^{39} +(-8.44565 + 2.74416i) q^{40} +(2.79741 + 5.49022i) q^{41} +(-2.94452 - 2.13932i) q^{42} +9.15041 q^{43} +(-0.640960 - 2.37923i) q^{44} +(-2.04182 - 2.04182i) q^{45} +(1.30581 + 8.24456i) q^{46} +(-5.79678 - 11.3768i) q^{47} +(-0.606341 - 1.86612i) q^{48} +(-2.07957 - 2.86228i) q^{49} +(3.69651 + 0.585470i) q^{50} +(2.03270 + 6.25602i) q^{51} +(2.61554 + 0.578304i) q^{52} +(0.0405645 + 0.0294718i) q^{53} +(0.792799 - 0.792799i) q^{54} +(-1.97851 + 9.37039i) q^{55} -9.98327i q^{56} +(-0.941219 + 0.149074i) q^{57} +(6.46153 - 3.29231i) q^{58} +(-4.66342 - 2.37613i) q^{59} +(0.335598 - 2.11888i) q^{60} +(1.06487 + 1.46567i) q^{61} +(0.136113 + 0.418912i) q^{62} +(2.89241 - 1.47375i) q^{63} +(4.91027 - 6.75840i) q^{64} +(-8.03733 - 6.61786i) q^{65} +(-3.63834 - 0.768215i) q^{66} +(4.60462 + 4.60462i) q^{67} +(-2.87253 + 3.95369i) q^{68} +(-7.08069 - 2.30066i) q^{69} +(-4.77129 + 9.36418i) q^{70} +(-3.22027 - 0.510040i) q^{71} +(3.03749 + 0.481090i) q^{72} +(4.23476 - 8.31118i) q^{73} +(-1.07010 - 0.347696i) q^{74} +(-1.96206 + 2.70055i) q^{75} +(-0.500621 - 0.500621i) q^{76} +(-9.33133 - 5.37065i) q^{77} +(2.56958 - 3.12074i) q^{78} +(8.36338 - 11.5112i) q^{79} +(-5.04833 + 2.57225i) q^{80} +(0.309017 + 0.951057i) q^{81} +(4.06074 + 5.58913i) q^{82} +(2.73460 - 17.2656i) q^{83} +(2.14888 + 1.09491i) q^{84} +(16.9241 - 8.62325i) q^{85} +(10.1330 - 1.60491i) q^{86} +6.46809i q^{87} +(-4.16121 - 9.31234i) q^{88} +(-3.38500 + 3.38500i) q^{89} +(-2.61920 - 1.90296i) q^{90} +(9.86787 - 6.29435i) q^{91} +(-1.70925 - 5.26053i) q^{92} +(-0.388024 - 0.0614570i) q^{93} +(-8.41466 - 11.5818i) q^{94} +(0.850326 + 2.61703i) q^{95} +(1.79360 + 3.52014i) q^{96} +(1.24366 + 7.85215i) q^{97} +(-2.80490 - 2.80490i) q^{98} +(2.08373 - 2.58032i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 112 q + 28 q^{3} + 6 q^{5} - 28 q^{9}+O(q^{10}) \) 112 * q + 28 * q^3 + 6 * q^5 - 28 * q^9	\( 112 q + 28 q^{3} + 6 q^{5} - 28 q^{9} - 14 q^{11} + 10 q^{13} + 12 q^{14} + 4 q^{15} - 48 q^{16} - 2 q^{20} + 32 q^{22} + 30 q^{24} - 46 q^{26} + 28 q^{27} - 20 q^{29} - 24 q^{31} - 16 q^{33} - 16 q^{34} - 20 q^{35} + 12 q^{37} + 10 q^{39} - 40 q^{40} - 10 q^{41} + 28 q^{42} + 24 q^{44} - 4 q^{45} - 20 q^{46} - 62 q^{47} - 92 q^{48} - 90 q^{50} + 110 q^{52} + 68 q^{53} + 32 q^{55} - 30 q^{57} - 56 q^{58} + 16 q^{59} + 2 q^{60} + 20 q^{61} + 8 q^{66} + 12 q^{67} + 60 q^{68} - 196 q^{70} - 52 q^{71} + 30 q^{72} - 10 q^{73} - 120 q^{74} - 84 q^{78} + 40 q^{79} - 56 q^{80} - 28 q^{81} + 110 q^{83} - 30 q^{84} - 40 q^{85} + 18 q^{86} - 96 q^{89} - 44 q^{91} + 80 q^{92} + 24 q^{93} - 20 q^{94} + 100 q^{96} + 18 q^{97} + 6 q^{99}+O(q^{100}) \) 112 * q + 28 * q^3 + 6 * q^5 - 28 * q^9 - 14 * q^11 + 10 * q^13 + 12 * q^14 + 4 * q^15 - 48 * q^16 - 2 * q^20 + 32 * q^22 + 30 * q^24 - 46 * q^26 + 28 * q^27 - 20 * q^29 - 24 * q^31 - 16 * q^33 - 16 * q^34 - 20 * q^35 + 12 * q^37 + 10 * q^39 - 40 * q^40 - 10 * q^41 + 28 * q^42 + 24 * q^44 - 4 * q^45 - 20 * q^46 - 62 * q^47 - 92 * q^48 - 90 * q^50 + 110 * q^52 + 68 * q^53 + 32 * q^55 - 30 * q^57 - 56 * q^58 + 16 * q^59 + 2 * q^60 + 20 * q^61 + 8 * q^66 + 12 * q^67 + 60 * q^68 - 196 * q^70 - 52 * q^71 + 30 * q^72 - 10 * q^73 - 120 * q^74 - 84 * q^78 + 40 * q^79 - 56 * q^80 - 28 * q^81 + 110 * q^83 - 30 * q^84 - 40 * q^85 + 18 * q^86 - 96 * q^89 - 44 * q^91 + 80 * q^92 + 24 * q^93 - 20 * q^94 + 100 * q^96 + 18 * q^97 + 6 * q^99

Introduction

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