LMFDB - Embedded newform 98.2.e.a.29.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [98,2,Mod(15,98)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(98, base_ring=CyclotomicField(14))

chi = DirichletCharacter(H, H._module([10]))

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

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

chi := DirichletCharacter("98.15");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 98 = 2 \cdot 7^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	98.e (of order $7$, degree $6$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$0.782533939809$
Analytic rank:	$0$
Dimension:	$18$
Relative dimension:	$3$ over $\Q(\zeta_{7})$
Coefficient field:	$\mathbb{Q}[x]/(x^{18} - \cdots)$
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{18} - 6 x^{17} + 15 x^{16} - 23 x^{15} + 72 x^{14} - 85 x^{13} + 432 x^{12} - 282 x^{11} + 1786 x^{10} + \cdots + 729 $ x^18 - 6x^17 + 15x^16 - 23x^15 + 72x^14 - 85x^13 + 432x^12 - 282x^11 + 1786x^10 - 1092x^9 + 7272x^8 - 10168x^7 + 25378x^6 - 43359x^5 + 57726x^4 - 56565x^3 + 38232x^2 - 6804*x + 729
Coefficient ring:	$\Z[a_1, a_2, a_3]$
Coefficient ring index:	$ 7 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label			29.2
Root			$0.281648 + 1.23398i$ of defining polynomial
Character	$\chi$	$=$	98.29
Dual form			98.2.e.a.71.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.900969 - 0.433884i) q^{2} +(0.0591274 + 0.259054i) q^{3} +(0.623490 + 0.781831i) q^{4} +(-0.871615 - 3.81880i) q^{5} +(0.0591274 - 0.259054i) q^{6} +(2.52187 + 0.800098i) q^{7} +(-0.222521 - 0.974928i) q^{8} +(2.63929 - 1.27102i) q^{9} +O(q^{10})$	\(q+(-0.900969 - 0.433884i) q^{2} +(0.0591274 + 0.259054i) q^{3} +(0.623490 + 0.781831i) q^{4} +(-0.871615 - 3.81880i) q^{5} +(0.0591274 - 0.259054i) q^{6} +(2.52187 + 0.800098i) q^{7} +(-0.222521 - 0.974928i) q^{8} +(2.63929 - 1.27102i) q^{9} +(-0.871615 + 3.81880i) q^{10} +(-1.24836 - 0.601177i) q^{11} +(-0.165671 + 0.207745i) q^{12} +(-0.394388 - 0.189927i) q^{13} +(-1.92498 - 1.81506i) q^{14} +(0.937739 - 0.451591i) q^{15} +(-0.222521 + 0.974928i) q^{16} +(-2.09658 + 2.62903i) q^{17} -2.92939 q^{18} -3.22430 q^{19} +(2.44221 - 3.06244i) q^{20} +(-0.0581569 + 0.700609i) q^{21} +(0.863890 + 1.08328i) q^{22} +(5.72636 + 7.18063i) q^{23} +(0.239402 - 0.115290i) q^{24} +(-9.31865 + 4.48763i) q^{25} +(0.272925 + 0.342237i) q^{26} +(0.982331 + 1.23180i) q^{27} +(0.946820 + 2.47053i) q^{28} +(-2.68413 + 3.36579i) q^{29} -1.04081 q^{30} +4.95147 q^{31} +(0.623490 - 0.781831i) q^{32} +(0.0819253 - 0.358938i) q^{33} +(3.02965 - 1.45900i) q^{34} +(0.857309 - 10.3279i) q^{35} +(2.63929 + 1.27102i) q^{36} +(-2.75609 + 3.45603i) q^{37} +(2.90499 + 1.39897i) q^{38} +(0.0258823 - 0.113398i) q^{39} +(-3.52910 + 1.69952i) q^{40} +(-2.64114 - 11.5716i) q^{41} +(0.356381 - 0.605994i) q^{42} +(0.674507 - 2.95521i) q^{43} +(-0.308319 - 1.35083i) q^{44} +(-7.15420 - 8.97109i) q^{45} +(-2.04371 - 8.95409i) q^{46} +(0.899981 + 0.433408i) q^{47} -0.265716 q^{48} +(5.71969 + 4.03549i) q^{49} +10.3429 q^{50} +(-0.805026 - 0.387680i) q^{51} +(-0.0974057 - 0.426762i) q^{52} +(5.43131 + 6.81065i) q^{53} +(-0.350590 - 1.53603i) q^{54} +(-1.20769 + 5.29122i) q^{55} +(0.218869 - 2.63668i) q^{56} +(-0.190644 - 0.835268i) q^{57} +(3.87868 - 1.86787i) q^{58} +(-2.32433 + 10.1835i) q^{59} +(0.937739 + 0.451591i) q^{60} +(4.57839 - 5.74111i) q^{61} +(-4.46112 - 2.14836i) q^{62} +(7.67290 - 1.09365i) q^{63} +(-0.900969 + 0.433884i) q^{64} +(-0.381539 + 1.67163i) q^{65} +(-0.229550 + 0.287846i) q^{66} +3.79637 q^{67} -3.36265 q^{68} +(-1.52159 + 1.90801i) q^{69} +(-5.25352 + 8.93314i) q^{70} +(-5.19951 - 6.51998i) q^{71} +(-1.82645 - 2.29029i) q^{72} +(-7.97766 + 3.84184i) q^{73} +(3.98267 - 1.91795i) q^{74} +(-1.71353 - 2.14869i) q^{75} +(-2.01032 - 2.52086i) q^{76} +(-2.66720 - 2.51490i) q^{77} +(-0.0725205 + 0.0909379i) q^{78} -4.16524 q^{79} +3.91700 q^{80} +(5.21832 - 6.54357i) q^{81} +(-2.64114 + 11.5716i) q^{82} +(-10.1157 + 4.87145i) q^{83} +(-0.584019 + 0.391354i) q^{84} +(11.8671 + 5.71491i) q^{85} +(-1.88993 + 2.36989i) q^{86} +(-1.03063 - 0.496324i) q^{87} +(-0.308319 + 1.35083i) q^{88} +(3.75652 - 1.80905i) q^{89} +(2.55331 + 11.1868i) q^{90} +(-0.842635 - 0.794521i) q^{91} +(-2.04371 + 8.95409i) q^{92} +(0.292768 + 1.28270i) q^{93} +(-0.622806 - 0.780974i) q^{94} +(2.81035 + 12.3129i) q^{95} +(0.239402 + 0.115290i) q^{96} +3.08440 q^{97} +(-3.40232 - 6.11753i) q^{98} -4.05889 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 18 q - 3 q^{2} + 3 q^{3} - 3 q^{4} - 6 q^{5} + 3 q^{6} - 7 q^{7} - 3 q^{8} + 10 q^{9}+O(q^{10}) $ 18 * q - 3 * q^2 + 3 * q^3 - 3 * q^4 - 6 * q^5 + 3 * q^6 - 7 * q^7 - 3 * q^8 + 10 * q^9	\( 18 q - 3 q^{2} + 3 q^{3} - 3 q^{4} - 6 q^{5} + 3 q^{6} - 7 q^{7} - 3 q^{8} + 10 q^{9} - 6 q^{10} - q^{11} - 4 q^{12} - 7 q^{14} - 9 q^{15} - 3 q^{16} - 11 q^{17} + 24 q^{18} + 36 q^{19} + q^{20} - 21 q^{21} - q^{22} + 5 q^{23} - 4 q^{24} - 23 q^{25} - 7 q^{26} - 12 q^{27} - 13 q^{29} - 16 q^{30} - 4 q^{31} - 3 q^{32} - 34 q^{33} - 11 q^{34} - 7 q^{35} + 10 q^{36} + 33 q^{37} + 15 q^{38} + 21 q^{39} + q^{40} - 28 q^{41} + 35 q^{42} - 20 q^{43} + 6 q^{44} + 20 q^{45} + 5 q^{46} + 36 q^{47} + 10 q^{48} + 49 q^{49} + 26 q^{50} - 20 q^{51} + 48 q^{53} + 2 q^{54} + 47 q^{55} + 7 q^{56} - 37 q^{57} + 36 q^{58} - 25 q^{59} - 9 q^{60} + q^{61} - 11 q^{62} - 35 q^{63} - 3 q^{64} - 56 q^{65} - 27 q^{66} + 34 q^{67} + 38 q^{68} + 23 q^{69} - 14 q^{70} - 6 q^{71} - 11 q^{72} - 39 q^{73} - 23 q^{74} - 47 q^{75} - 20 q^{76} - 28 q^{77} - 14 q^{78} - 2 q^{79} + 8 q^{80} - 34 q^{81} - 28 q^{82} + 35 q^{83} - 7 q^{84} + 33 q^{85} + 36 q^{86} + 48 q^{87} + 6 q^{88} - 6 q^{89} - 57 q^{90} - 35 q^{91} + 5 q^{92} + 36 q^{93} - 13 q^{94} - 17 q^{95} - 4 q^{96} + 56 q^{97} + 28 q^{98} + 106 q^{99}+O(q^{100}) \) 18 * q - 3 * q^2 + 3 * q^3 - 3 * q^4 - 6 * q^5 + 3 * q^6 - 7 * q^7 - 3 * q^8 + 10 * q^9 - 6 * q^10 - q^11 - 4 * q^12 - 7 * q^14 - 9 * q^15 - 3 * q^16 - 11 * q^17 + 24 * q^18 + 36 * q^19 + q^20 - 21 * q^21 - q^22 + 5 * q^23 - 4 * q^24 - 23 * q^25 - 7 * q^26 - 12 * q^27 - 13 * q^29 - 16 * q^30 - 4 * q^31 - 3 * q^32 - 34 * q^33 - 11 * q^34 - 7 * q^35 + 10 * q^36 + 33 * q^37 + 15 * q^38 + 21 * q^39 + q^40 - 28 * q^41 + 35 * q^42 - 20 * q^43 + 6 * q^44 + 20 * q^45 + 5 * q^46 + 36 * q^47 + 10 * q^48 + 49 * q^49 + 26 * q^50 - 20 * q^51 + 48 * q^53 + 2 * q^54 + 47 * q^55 + 7 * q^56 - 37 * q^57 + 36 * q^58 - 25 * q^59 - 9 * q^60 + q^61 - 11 * q^62 - 35 * q^63 - 3 * q^64 - 56 * q^65 - 27 * q^66 + 34 * q^67 + 38 * q^68 + 23 * q^69 - 14 * q^70 - 6 * q^71 - 11 * q^72 - 39 * q^73 - 23 * q^74 - 47 * q^75 - 20 * q^76 - 28 * q^77 - 14 * q^78 - 2 * q^79 + 8 * q^80 - 34 * q^81 - 28 * q^82 + 35 * q^83 - 7 * q^84 + 33 * q^85 + 36 * q^86 + 48 * q^87 + 6 * q^88 - 6 * q^89 - 57 * q^90 - 35 * q^91 + 5 * q^92 + 36 * q^93 - 13 * q^94 - 17 * q^95 - 4 * q^96 + 56 * q^97 + 28 * q^98 + 106 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/98\mathbb{Z}\right)^\times$.

$n$	$3$
$\chi(n)$	$e\left(\frac{3}{7}\right)$

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 $

$2$	−0.900969	−	0.433884i	−0.637081	−	0.306802i
$2$	−0.900969	−	0.433884i	−0.637081	−	0.306802i
$3$	0.0591274	+	0.259054i	0.0341372	+	0.149565i	0.989124	−	0.147083i	$-0.0469884\pi$
$3$	0.0591274	+	0.259054i	0.0341372	+	0.149565i	−0.954987	+	0.296648i	$0.904131\pi$
$4$	0.623490	+	0.781831i	0.311745	+	0.390916i
$5$	−0.871615	−	3.81880i	−0.389798	−	1.70782i	−0.665350	−	0.746532i	$-0.731718\pi$
$5$	−0.871615	−	3.81880i	−0.389798	−	1.70782i	0.275552	−	0.961286i	$-0.411139\pi$
$6$	0.0591274	−	0.259054i	0.0241387	−	0.105758i
$7$	2.52187	+	0.800098i	0.953178	+	0.302409i
$7$	2.52187	+	0.800098i	0.953178	+	0.302409i
$8$	−0.222521	−	0.974928i	−0.0786730	−	0.344689i
$9$	2.63929	−	1.27102i	0.879765	−	0.423672i
$10$	−0.871615	+	3.81880i	−0.275629	+	1.20761i
$11$	−1.24836	−	0.601177i	−0.376394	−	0.181262i	0.236116	−	0.971725i	$-0.424126\pi$
$11$	−1.24836	−	0.601177i	−0.376394	−	0.181262i	−0.612509	+	0.790463i	$0.709840\pi$
$12$	−0.165671	+	0.207745i	−0.0478252	+	0.0599709i
$13$	−0.394388	−	0.189927i	−0.109383	−	0.0526763i	0.378392	−	0.925646i	$-0.376477\pi$
$13$	−0.394388	−	0.189927i	−0.109383	−	0.0526763i	−0.487775	+	0.872969i	$0.662191\pi$
$14$	−1.92498	−	1.81506i	−0.514472	−	0.485096i
$15$	0.937739	−	0.451591i	0.242123	−	0.116600i
$16$	−0.222521	+	0.974928i	−0.0556302	+	0.243732i
$17$	−2.09658	+	2.62903i	−0.508496	+	0.637633i	−0.968122	−	0.250479i	$-0.919412\pi$
$17$	−2.09658	+	2.62903i	−0.508496	+	0.637633i	0.459626	+	0.888112i	$0.347983\pi$
$18$	−2.92939			−0.690465
$19$	−3.22430			−0.739705			−0.369852	−	0.929091i	$-0.620592\pi$
$19$	−3.22430			−0.739705			−0.369852	+	0.929091i	$0.620592\pi$
$20$	2.44221	−	3.06244i	0.546095	−	0.684782i
$21$	−0.0581569	+	0.700609i	−0.0126909	+	0.152885i
$22$	0.863890	+	1.08328i	0.184182	+	0.230957i
$23$	5.72636	+	7.18063i	1.19403	+	1.49726i	0.822426	+	0.568872i	$0.192620\pi$
$23$	5.72636	+	7.18063i	1.19403	+	1.49726i	0.371602	+	0.928392i	$0.378809\pi$
$24$	0.239402	−	0.115290i	0.0488677	−	0.0235335i
$25$	−9.31865	+	4.48763i	−1.86373	+	0.897525i
$26$	0.272925	+	0.342237i	0.0535249	+	0.0671182i
$27$	0.982331	+	1.23180i	0.189050	+	0.237061i
$28$	0.946820	+	2.47053i	0.178932	+	0.466887i
$29$	−2.68413	+	3.36579i	−0.498430	+	0.625011i	−0.965874	−	0.259011i	$-0.916603\pi$
$29$	−2.68413	+	3.36579i	−0.498430	+	0.625011i	0.467444	+	0.884022i	$0.345175\pi$
$30$	−1.04081			−0.190025
$31$	4.95147			0.889310			0.444655	−	0.895702i	$-0.353326\pi$
$31$	4.95147			0.889310			0.444655	+	0.895702i	$0.353326\pi$
$32$	0.623490	−	0.781831i	0.110218	−	0.138210i
$33$	0.0819253	−	0.358938i	0.0142614	−	0.0624831i
$34$	3.02965	−	1.45900i	0.519580	−	0.250217i
$35$	0.857309	−	10.3279i	0.144912	−	1.74573i
$36$	2.63929	+	1.27102i	0.439882	+	0.211836i
$37$	−2.75609	+	3.45603i	−0.453099	+	0.568168i	−0.954943	−	0.296790i	$-0.904084\pi$
$37$	−2.75609	+	3.45603i	−0.453099	+	0.568168i	0.501844	+	0.864958i	$0.332655\pi$
$38$	2.90499	+	1.39897i	0.471252	+	0.226943i
$39$	0.0258823	−	0.113398i	0.00414448	−	0.0181582i
$40$	−3.52910	+	1.69952i	−0.558000	+	0.268718i
$41$	−2.64114	−	11.5716i	−0.412477	−	1.80718i	−0.572313	−	0.820035i	$-0.693954\pi$
$41$	−2.64114	−	11.5716i	−0.412477	−	1.80718i	0.159836	−	0.987144i	$-0.448904\pi$
$42$	0.356381	−	0.605994i	0.0549907	−	0.0935069i
$43$	0.674507	−	2.95521i	0.102861	−	0.450665i	−0.897100	−	0.441828i	$-0.854330\pi$
$43$	0.674507	−	2.95521i	0.102861	−	0.450665i	0.999961	−	0.00883653i	$-0.00281279\pi$
$44$	−0.308319	−	1.35083i	−0.0464808	−	0.203646i
$45$	−7.15420	−	8.97109i	−1.06649	−	1.33733i
$46$	−2.04371	−	8.95409i	−0.301329	−	1.32021i
$47$	0.899981	+	0.433408i	0.131276	+	0.0632191i	0.498369	−	0.866965i	$-0.333933\pi$
$47$	0.899981	+	0.433408i	0.131276	+	0.0632191i	−0.367093	+	0.930184i	$0.619647\pi$
$48$	−0.265716			−0.0383528
$49$	5.71969	+	4.03549i	0.817098	+	0.576499i
$50$	10.3429			1.46271
$51$	−0.805026	−	0.387680i	−0.112726	−	0.0542861i
$52$	−0.0974057	−	0.426762i	−0.0135077	−	0.0591813i
$53$	5.43131	+	6.81065i	0.746048	+	0.935514i	0.999493	−	0.0318353i	$-0.0101352\pi$
$53$	5.43131	+	6.81065i	0.746048	+	0.935514i	−0.253445	+	0.967350i	$0.581564\pi$
$54$	−0.350590	−	1.53603i	−0.0477092	−	0.209028i
$55$	−1.20769	+	5.29122i	−0.162844	+	0.713468i
$56$	0.218869	−	2.63668i	0.0292476	−	0.352342i
$57$	−0.190644	−	0.835268i	−0.0252515	−	0.110634i
$58$	3.87868	−	1.86787i	0.509295	−	0.245264i
$59$	−2.32433	+	10.1835i	−0.302602	+	1.32578i	0.563583	+	0.826060i	$0.309423\pi$
$59$	−2.32433	+	10.1835i	−0.302602	+	1.32578i	−0.866184	+	0.499724i	$0.833435\pi$
$60$	0.937739	+	0.451591i	0.121062	+	0.0583002i
$61$	4.57839	−	5.74111i	0.586202	−	0.735074i	−0.396955	−	0.917838i	$-0.629933\pi$
$61$	4.57839	−	5.74111i	0.586202	−	0.735074i	0.983157	+	0.182764i	$0.0585044\pi$
$62$	−4.46112	−	2.14836i	−0.566563	−	0.272842i
$63$	7.67290	−	1.09365i	0.966695	−	0.137787i
$64$	−0.900969	+	0.433884i	−0.112621	+	0.0542355i
$65$	−0.381539	+	1.67163i	−0.0473240	+	0.207340i
$66$	−0.229550	+	0.287846i	−0.0282556	+	0.0354314i
$67$	3.79637			0.463800			0.231900	−	0.972740i	$-0.425506\pi$
$67$	3.79637			0.463800			0.231900	+	0.972740i	$0.425506\pi$
$68$	−3.36265			−0.407782
$69$	−1.52159	+	1.90801i	−0.183177	+	0.229697i
$70$	−5.25352	+	8.93314i	−0.627915	+	1.06771i
$71$	−5.19951	−	6.51998i	−0.617068	−	0.773779i	0.370860	−	0.928689i	$-0.379063\pi$
$71$	−5.19951	−	6.51998i	−0.617068	−	0.773779i	−0.987929	+	0.154910i	$0.950491\pi$
$72$	−1.82645	−	2.29029i	−0.215249	−	0.269914i
$73$	−7.97766	+	3.84184i	−0.933714	+	0.449653i	−0.837948	−	0.545751i	$-0.816245\pi$
$73$	−7.97766	+	3.84184i	−0.933714	+	0.449653i	−0.0957666	+	0.995404i	$0.530530\pi$
$74$	3.98267	−	1.91795i	0.462976	−	0.222957i
$75$	−1.71353	−	2.14869i	−0.197861	−	0.248110i
$76$	−2.01032	−	2.52086i	−0.230599	−	0.289162i
$77$	−2.66720	−	2.51490i	−0.303955	−	0.286599i
$78$	−0.0725205	+	0.0909379i	−0.00821133	+	0.0102967i
$79$	−4.16524			−0.468626			−0.234313	−	0.972161i	$-0.575284\pi$
$79$	−4.16524			−0.468626			−0.234313	+	0.972161i	$0.575284\pi$
$80$	3.91700			0.437934
$81$	5.21832	−	6.54357i	0.579814	−	0.727063i
$82$	−2.64114	+	11.5716i	−0.291665	+	1.27787i
$83$	−10.1157	+	4.87145i	−1.11034	+	0.534711i	−0.896895	−	0.442244i	$-0.854183\pi$
$83$	−10.1157	+	4.87145i	−1.11034	+	0.534711i	−0.213445	+	0.976955i	$0.568468\pi$
$84$	−0.584019	+	0.391354i	−0.0637217	+	0.0427002i
$85$	11.8671	+	5.71491i	1.28717	+	0.619869i
$86$	−1.88993	+	2.36989i	−0.203796	+	0.255552i
$87$	−1.03063	−	0.496324i	−0.110495	−	0.0532115i
$88$	−0.308319	+	1.35083i	−0.0328669	+	0.143999i
$89$	3.75652	−	1.80905i	0.398191	−	0.191758i	−0.224062	−	0.974575i	$-0.571932\pi$
$89$	3.75652	−	1.80905i	0.398191	−	0.191758i	0.622253	+	0.782816i	$0.286218\pi$
$90$	2.55331	+	11.1868i	0.269142	+	1.17919i
$91$	−0.842635	−	0.794521i	−0.0883322	−	0.0832884i
$92$	−2.04371	+	8.95409i	−0.213072	+	0.933529i
$93$	0.292768	+	1.28270i	0.0303586	+	0.133010i
$94$	−0.622806	−	0.780974i	−0.0642376	−	0.0805514i
$95$	2.81035	+	12.3129i	0.288336	+	1.26328i
$96$	0.239402	+	0.115290i	0.0244339	+	0.0117667i
$97$	3.08440			0.313173			0.156587	−	0.987664i	$-0.449951\pi$
$97$	3.08440			0.313173			0.156587	+	0.987664i	$0.449951\pi$
$98$	−3.40232	−	6.11753i	−0.343687	−	0.617964i
$99$	−4.05889			−0.407933
$100$	−9.31865	−	4.48763i	−0.931865	−	0.448763i
$101$	−1.62982	−	7.14069i	−0.162173	−	0.710525i	−0.988981	−	0.148042i	$-0.952703\pi$
$101$	−1.62982	−	7.14069i	−0.162173	−	0.710525i	0.826808	−	0.562484i	$-0.190154\pi$
$102$	0.557095	+	0.698576i	0.0551607	+	0.0691693i
$103$	1.47017	+	6.44126i	0.144861	+	0.634676i	0.994266	+	0.106935i	$0.0341037\pi$
$103$	1.47017	+	6.44126i	0.144861	+	0.634676i	−0.849405	+	0.527741i	$0.823039\pi$
$104$	−0.0974057	+	0.426762i	−0.00955142	+	0.0418475i
$105$	2.72617	−	0.388572i	0.266047	−	0.0379208i
$106$	−1.93841	−	8.49274i	−0.188275	−	0.824888i
$107$	4.68034	−	2.25393i	0.452465	−	0.217896i	−0.193750	−	0.981051i	$-0.562065\pi$
$107$	4.68034	−	2.25393i	0.452465	−	0.217896i	0.646215	+	0.763155i	$0.276351\pi$
$108$	−0.350590	+	1.53603i	−0.0337355	+	0.147805i
$109$	−1.85858	−	0.895043i	−0.178019	−	0.0857296i	0.342752	−	0.939426i	$-0.388641\pi$
$109$	−1.85858	−	0.895043i	−0.178019	−	0.0857296i	−0.520771	+	0.853697i	$0.674355\pi$
$110$	3.38386	−	4.24323i	0.322638	−	0.404576i
$111$	−1.05826	−	0.509631i	−0.100446	−	0.0483720i
$112$	−1.34121	+	2.28061i	−0.126732	+	0.215497i
$113$	−11.1666	+	5.37756i	−1.05047	+	0.505879i	−0.877763	−	0.479095i	$-0.840965\pi$
$113$	−11.1666	+	5.37756i	−1.05047	+	0.505879i	−0.172705	+	0.984974i	$0.555251\pi$
$114$	−0.190644	+	0.835268i	−0.0178555	+	0.0782300i
$115$	22.4302	−	28.1265i	2.09162	−	2.62281i
$116$	−4.30501			−0.399710
$117$	−1.28231			−0.118549
$118$	6.51262	−	8.16657i	0.599535	−	0.751793i
$119$	−7.39079	+	4.95261i	−0.677513	+	0.454005i
$120$	−0.648935	−	0.813739i	−0.0592394	−	0.0742839i
$121$	−5.66141	−	7.09918i	−0.514673	−	0.645380i
$122$	−6.61596	+	3.18608i	−0.598981	+	0.288454i
$123$	2.84150	−	1.36840i	0.256210	−	0.123384i
$124$	3.08719	+	3.87121i	0.277238	+	0.347645i
$125$	13.0485	+	16.3624i	1.16710	+	1.46349i
$126$	−7.38756	−	2.34380i	−0.658136	−	0.208803i
$127$	−6.65953	+	8.35079i	−0.590938	+	0.741013i	−0.983935	−	0.178527i	$-0.942867\pi$
$127$	−6.65953	+	8.35079i	−0.590938	+	0.741013i	0.392997	+	0.919540i	$0.371438\pi$
$128$	1.00000			0.0883883
$129$	0.805440			0.0709151
$130$	1.06905	−	1.34054i	0.0937617	−	0.117573i
$131$	−1.46425	+	6.41532i	−0.127932	+	0.560509i	0.869812	+	0.493383i	$0.164240\pi$
$131$	−1.46425	+	6.41532i	−0.127932	+	0.560509i	−0.997745	+	0.0671256i	$0.978617\pi$
$132$	0.331709	−	0.159742i	0.0288715	−	0.0139038i
$133$	−8.13127	−	2.57976i	−0.705071	−	0.223693i
$134$	−3.42041	−	1.64718i	−0.295478	−	0.142295i
$135$	3.84779	−	4.82498i	0.331165	−	0.415268i
$136$	3.02965	+	1.45900i	0.259790	+	0.125108i
$137$	3.67895	−	16.1185i	0.314314	−	1.37710i	−0.533050	−	0.846084i	$-0.678954\pi$
$137$	3.67895	−	16.1185i	0.314314	−	1.37710i	0.847363	−	0.531014i	$-0.178189\pi$
$138$	2.19876	−	1.05886i	0.187170	−	0.0901366i
$139$	−2.17665	−	9.53652i	−0.184621	−	0.808877i	−0.979392	−	0.201968i	$-0.935266\pi$
$139$	−2.17665	−	9.53652i	−0.184621	−	0.808877i	0.794771	−	0.606909i	$-0.207591\pi$
$140$	8.60920	−	5.76907i	0.727610	−	0.487575i
$141$	−0.0590626	+	0.258770i	−0.00497397	+	0.0217924i
$142$	1.85568	+	8.13028i	0.155725	+	0.682278i
$143$	0.378157	+	0.474194i	0.0316231	+	0.0396541i
$144$	0.651852	+	2.85595i	0.0543210	+	0.237996i
$145$	15.1928	+	7.31646i	1.26169	+	0.607599i
$146$	8.85453			0.732806
$147$	−0.707221	+	1.72032i	−0.0583306	+	0.141889i
$148$	−4.42043			−0.363357
$149$	13.3228	+	6.41591i	1.09144	+	0.525612i	0.890959	−	0.454084i	$-0.150034\pi$
$149$	13.3228	+	6.41591i	1.09144	+	0.525612i	0.200486	+	0.979697i	$0.435748\pi$
$150$	0.611550	+	2.67938i	0.0499329	+	0.218770i
$151$	−4.99397	−	6.26223i	−0.406403	−	0.509613i	0.535943	−	0.844254i	$-0.319956\pi$
$151$	−4.99397	−	6.26223i	−0.406403	−	0.509613i	−0.942346	+	0.334641i	$0.891385\pi$
$152$	0.717474	+	3.14346i	0.0581948	+	0.254968i
$153$	−2.19195	+	9.60357i	−0.177209	+	0.776403i
$154$	1.31189	+	3.42310i	0.105715	+	0.275841i
$155$	−4.31578	−	18.9087i	−0.346652	−	1.51878i
$156$	0.104795	−	0.0504667i	0.00839033	−	0.00404057i
$157$	0.916103	−	4.01371i	0.0731130	−	0.320329i	−0.925125	−	0.379662i	$-0.876040\pi$
$157$	0.916103	−	4.01371i	0.0731130	−	0.320329i	0.998238	+	0.0593331i	$0.0188974\pi$
$158$	3.75275	+	1.80723i	0.298553	+	0.143775i
$159$	−1.44319	+	1.80970i	−0.114452	+	0.143518i
$160$	−3.52910	−	1.69952i	−0.279000	−	0.134359i
$161$	8.69594	+	22.6903i	0.685336	+	1.78824i
$162$	−7.54069	+	3.63141i	−0.592453	+	0.285310i
$163$	4.72262	−	20.6911i	0.369904	−	1.62066i	−0.357130	−	0.934055i	$-0.616245\pi$
$163$	4.72262	−	20.6911i	0.369904	−	1.62066i	0.727034	−	0.686601i	$-0.240898\pi$
$164$	7.40031	−	9.27970i	0.577867	−	0.724623i
$165$	−1.44212			−0.112269
$166$	11.2276			0.871427
$167$	−7.36610	+	9.23680i	−0.570006	+	0.714765i	−0.980372	−	0.197156i	$-0.936830\pi$
$167$	−7.36610	+	9.23680i	−0.570006	+	0.714765i	0.410366	+	0.911921i	$0.365401\pi$
$168$	0.695985	−	0.0992014i	0.0536964	−	0.00765355i
$169$	−7.98590	−	10.0140i	−0.614300	−	0.770308i
$170$	−8.21232	−	10.2979i	−0.629856	−	0.789814i
$171$	−8.50987	+	4.09814i	−0.650766	+	0.313392i
$172$	2.73102	−	1.31519i	0.208238	−	0.100282i
$173$	−7.64240	−	9.58326i	−0.581041	−	0.728602i	0.401249	−	0.915969i	$-0.368576\pi$
$173$	−7.64240	−	9.58326i	−0.581041	−	0.728602i	−0.982290	+	0.187367i	$0.940005\pi$
$174$	0.713216	+	0.894345i	0.0540688	+	0.0678001i
$175$	−27.0910	+	3.86138i	−2.04789	+	0.291893i
$176$	0.863890	−	1.08328i	0.0651181	−	0.0816556i
$177$	−2.77552			−0.208621
$178$	−4.16943			−0.312512
$179$	−10.1575	+	12.7371i	−0.759206	+	0.952014i	−0.999827	−	0.0186054i	$-0.994077\pi$
$179$	−10.1575	+	12.7371i	−0.759206	+	0.952014i	0.240621	+	0.970619i	$0.422649\pi$
$180$	2.55331	−	11.1868i	0.190312	−	0.833812i
$181$	5.44408	−	2.62173i	0.404655	−	0.194872i	−0.220474	−	0.975393i	$-0.570761\pi$
$181$	5.44408	−	2.62173i	0.404655	−	0.194872i	0.625129	+	0.780521i	$0.285046\pi$
$182$	0.414458	+	1.08144i	0.0307217	+	0.0801620i
$183$	1.75797	+	0.846593i	0.129953	+	0.0625819i
$184$	5.72636	−	7.18063i	0.422153	−	0.529363i
$185$	15.6001	+	7.51263i	1.14694	+	0.552339i
$186$	0.292768	−	1.28270i	0.0214668	−	0.0940520i
$187$	4.19779	−	2.02155i	0.306973	−	0.147830i
$188$	0.222277	+	0.973859i	0.0162112	+	0.0710260i
$189$	1.49175	+	3.89241i	0.108509	+	0.283131i
$190$	2.81035	−	12.3129i	0.203884	−	0.893275i
$191$	−2.89867	−	12.6999i	−0.209741	−	0.918933i	−0.964739	−	0.263207i	$-0.915220\pi$
$191$	−2.89867	−	12.6999i	−0.209741	−	0.918933i	0.754999	−	0.655726i	$-0.227637\pi$
$192$	−0.165671	−	0.207745i	−0.0119563	−	0.0149927i
$193$	−2.26413	−	9.91981i	−0.162976	−	0.714043i	−0.988692	−	0.149958i	$-0.952086\pi$
$193$	−2.26413	−	9.91981i	−0.162976	−	0.714043i	0.825717	−	0.564085i	$-0.190771\pi$
$194$	−2.77895	−	1.33827i	−0.199517	−	0.0960822i
$195$	−0.455602			−0.0326263
$196$	0.411091	+	6.98792i	0.0293636	+	0.499137i
$197$	17.5974			1.25376			0.626882	−	0.779114i	$-0.284331\pi$
$197$	17.5974			1.25376			0.626882	+	0.779114i	$0.284331\pi$
$198$	3.65693	+	1.76108i	0.259887	+	0.125155i
$199$	4.77589	+	20.9246i	0.338554	+	1.48330i	0.802079	+	0.597218i	$0.203727\pi$
$199$	4.77589	+	20.9246i	0.338554	+	1.48330i	−0.463525	+	0.886084i	$0.653416\pi$
$200$	6.44871	+	8.08642i	0.455992	+	0.571796i
$201$	0.224469	+	0.983464i	0.0158328	+	0.0693682i
$202$	−1.62982	+	7.14069i	−0.114673	+	0.502417i
$203$	−9.46199	+	6.34053i	−0.664101	+	0.445018i
$204$	−0.198825	−	0.871109i	−0.0139205	−	0.0609899i
$205$	−41.8875	+	20.1720i	−2.92555	+	1.40887i
$206$	1.47017	−	6.44126i	0.102432	−	0.448784i
$207$	24.2402	+	11.6735i	1.68481	+	0.811363i
$208$	0.272925	−	0.342237i	0.0189239	−	0.0237299i
$209$	4.02508	+	1.93837i	0.278420	+	0.134080i
$210$	−2.62479	−	0.832751i	−0.181128	−	0.0574653i
$211$	4.82686	−	2.32449i	0.332295	−	0.160025i	−0.260295	−	0.965529i	$-0.583820\pi$
$211$	4.82686	−	2.32449i	0.332295	−	0.160025i	0.592590	+	0.805504i	$0.298106\pi$
$212$	−1.93841	+	8.49274i	−0.133131	+	0.583284i
$213$	1.38159	−	1.73246i	0.0946652	−	0.118706i
$214$	−5.19478			−0.355108
$215$	−11.8732			−0.809748
$216$	0.982331	−	1.23180i	0.0668391	−	0.0838136i
$217$	12.4870	+	3.96166i	0.847671	+	0.268935i
$218$	1.28617	+	1.61281i	0.0871107	+	0.109233i
$219$	−1.46694	−	1.83949i	−0.0991268	−	0.124301i
$220$	−4.88982	+	2.35481i	−0.329672	+	0.158761i
$221$	1.32619	−	0.638659i	0.0892092	−	0.0429609i
$222$	0.732339	+	0.918323i	0.0491513	+	0.0616338i
$223$	−1.41380	−	1.77285i	−0.0946749	−	0.118719i	0.732237	−	0.681049i	$-0.238476\pi$
$223$	−1.41380	−	1.77285i	−0.0946749	−	0.118719i	−0.826912	+	0.562331i	$0.809905\pi$
$224$	2.19790	−	1.47283i	0.146854	−	0.0984074i
$225$	−18.8908	+	23.6883i	−1.25939	+	1.57922i
$226$	12.3940			0.824438
$227$	−24.1236			−1.60114			−0.800570	−	0.599239i	$-0.795470\pi$
$227$	−24.1236			−1.60114			−0.800570	+	0.599239i	$0.795470\pi$
$228$	0.534174	−	0.669833i	0.0353765	−	0.0443608i
$229$	1.16168	−	5.08965i	0.0767660	−	0.336334i	−0.921932	−	0.387352i	$-0.873390\pi$
$229$	1.16168	−	5.08965i	0.0767660	−	0.336334i	0.998698	+	0.0510187i	$0.0162468\pi$
$230$	−32.4125	+	15.6091i	−2.13722	+	1.02923i
$231$	0.493791	−	0.839648i	0.0324891	−	0.0552448i
$232$	3.87868	+	1.86787i	0.254648	+	0.122632i
$233$	11.1623	−	13.9971i	0.731265	−	0.916978i	−0.267651	−	0.963516i	$-0.586248\pi$
$233$	11.1623	−	13.9971i	0.731265	−	0.916978i	0.998917	+	0.0465383i	$0.0148190\pi$
$234$	1.15532	+	0.556371i	0.0755255	+	0.0363711i
$235$	0.870660	−	3.81461i	0.0567956	−	0.248838i
$236$	−9.41101	+	4.53210i	−0.612604	+	0.295015i
$237$	−0.246280	−	1.07902i	−0.0159976	−	0.0700900i
$238$	8.80773	−	1.25540i	0.570920	−	0.0813755i
$239$	−0.804649	+	3.52540i	−0.0520484	+	0.228039i	−0.994262	−	0.106974i	$-0.965884\pi$
$239$	−0.804649	+	3.52540i	−0.0520484	+	0.228039i	0.942213	+	0.335013i	$0.108741\pi$
$240$	0.231602	+	1.01472i	0.0149499	+	0.0654996i
$241$	0.863988	+	1.08341i	0.0556544	+	0.0697884i	0.808880	−	0.587974i	$-0.200074\pi$
$241$	0.863988	+	1.08341i	0.0556544	+	0.0697884i	−0.753225	+	0.657763i	$0.771503\pi$
$242$	2.02053	+	8.85253i	0.129885	+	0.569062i
$243$	6.26221	+	3.01572i	0.401721	+	0.193459i
$244$	7.34316			0.470098
$245$	10.4254	−	25.3597i	0.666052	−	1.62017i
$246$	−3.15383			−0.201081
$247$	1.27162	+	0.612382i	0.0809115	+	0.0389649i
$248$	−1.10181	−	4.82733i	−0.0699647	−	0.306536i
$249$	−1.86008	−	2.33247i	−0.117878	−	0.147814i
$250$	−4.65697	−	20.4035i	−0.294533	−	1.29043i
$251$	0.905207	−	3.96597i	0.0571362	−	0.250330i	−0.938292	−	0.345844i	$-0.887593\pi$
$251$	0.905207	−	3.96597i	0.0571362	−	0.250330i	0.995428	+	0.0955145i	$0.0304496\pi$
$252$	5.63902	+	5.31704i	0.355225	+	0.334942i
$253$	−2.83171	−	12.4065i	−0.178028	−	0.779992i
$254$	9.62331	−	4.63434i	0.603820	−	0.290784i
$255$	−0.778799	+	3.41214i	−0.0487703	+	0.213676i
$256$	−0.900969	−	0.433884i	−0.0563106	−	0.0271177i
$257$	−6.33032	+	7.93797i	−0.394874	+	0.495157i	−0.939034	−	0.343825i	$-0.888277\pi$
$257$	−6.33032	+	7.93797i	−0.394874	+	0.495157i	0.544159	+	0.838982i	$0.316849\pi$
$258$	−0.725677	−	0.349467i	−0.0451787	−	0.0217569i
$259$	−9.71568	+	6.51053i	−0.603703	+	0.404544i
$260$	−1.54482	+	0.743945i	−0.0958056	+	0.0461375i
$261$	−2.80623	+	12.2949i	−0.173701	+	0.761034i
$262$	4.10275	−	5.14468i	0.253469	−	0.317840i
$263$	−10.3033			−0.635331			−0.317666	−	0.948203i	$-0.602899\pi$
$263$	−10.3033			−0.635331			−0.317666	+	0.948203i	$0.602899\pi$
$264$	−0.368169			−0.0226592
$265$	21.2745	−	26.6773i	1.30688	−	1.63878i
$266$	6.20671	+	5.85231i	0.380558	+	0.358828i
$267$	0.690754	+	0.866178i	0.0422735	+	0.0530093i
$268$	2.36700	+	2.96812i	0.144587	+	0.181307i
$269$	−12.6663	+	6.09979i	−0.772280	+	0.371911i	−0.778155	−	0.628072i	$-0.783844\pi$
$269$	−12.6663	+	6.09979i	−0.772280	+	0.371911i	0.00587474	+	0.999983i	$0.498130\pi$
$270$	−5.56022	+	2.67766i	−0.338384	+	0.162957i
$271$	14.5939	+	18.3001i	0.886514	+	1.11165i	0.993091	+	0.117349i	$0.0374397\pi$
$271$	14.5939	+	18.3001i	0.886514	+	1.11165i	−0.106577	+	0.994305i	$0.533989\pi$
$272$	−2.09658	−	2.62903i	−0.127124	−	0.159408i
$273$	0.156001	−	0.265266i	0.00944161	−	0.0160546i
$274$	−10.3082	+	12.9260i	−0.622740	+	0.780891i
$275$	14.3309			0.864183
$276$	−2.44043			−0.146897
$277$	9.46090	−	11.8636i	0.568450	−	0.712814i	−0.411644	−	0.911345i	$-0.635045\pi$
$277$	9.46090	−	11.8636i	0.568450	−	0.712814i	0.980095	+	0.198530i	$0.0636169\pi$
$278$	−2.17665	+	9.53652i	−0.130547	+	0.571963i
$279$	13.0684	−	6.29340i	0.782384	−	0.376776i
$280$	−10.2597	+	1.46236i	−0.613136	+	0.0873926i
$281$	5.32948	+	2.56654i	0.317930	+	0.153107i	0.586042	−	0.810281i	$-0.300685\pi$
$281$	5.32948	+	2.56654i	0.317930	+	0.153107i	−0.268112	+	0.963388i	$0.586400\pi$
$282$	0.165490	−	0.207518i	0.00985477	−	0.0123575i
$283$	17.8226	+	8.58292i	1.05944	+	0.510202i	0.880690	−	0.473692i	$-0.157079\pi$
$283$	17.8226	+	8.58292i	1.05944	+	0.510202i	0.178754	+	0.983894i	$0.442793\pi$
$284$	1.85568	−	8.13028i	0.110115	−	0.482443i
$285$	−3.02355	+	1.45606i	−0.179100	+	0.0862498i
$286$	−0.134963	−	0.591310i	−0.00798051	−	0.0349649i
$287$	2.59779	−	31.2953i	0.153343	−	1.84730i
$288$	0.651852	−	2.85595i	0.0384107	−	0.168288i
$289$	1.26671	+	5.54983i	0.0745125	+	0.326461i
$290$	−10.5137	−	13.1838i	−0.617388	−	0.774180i
$291$	0.182372	+	0.799026i	0.0106909	+	0.0468397i
$292$	−7.97766	−	3.84184i	−0.466857	−	0.224827i
$293$	17.3377			1.01288			0.506439	−	0.862276i	$-0.330961\pi$
$293$	17.3377			1.01288			0.506439	+	0.862276i	$0.330961\pi$
$294$	1.38360	−	1.24310i	0.0806933	−	0.0724991i
$295$	40.9148			2.38215
$296$	3.98267	+	1.91795i	0.231488	+	0.111479i
$297$	−0.485767	−	2.12829i	−0.0281871	−	0.123496i
$298$	−9.21965	−	11.5611i	−0.534080	−	0.669715i
$299$	−0.894610	−	3.91954i	−0.0517366	−	0.226673i
$300$	0.611550	−	2.67938i	0.0353079	−	0.154694i
$301$	4.06548	−	6.91298i	0.234330	−	0.398458i
$302$	1.78233	+	7.80888i	0.102561	+	0.449351i
$303$	1.75346	−	0.844421i	0.100734	−	0.0485107i
$304$	0.717474	−	3.14346i	0.0411499	−	0.180290i
$305$	−25.9147	−	12.4799i	−1.48387	−	0.714596i
$306$	6.14171	−	7.70146i	0.351098	−	0.440263i
$307$	−24.7181	−	11.9036i	−1.41074	−	0.679375i	−0.435429	−	0.900223i	$-0.643403\pi$
$307$	−24.7181	−	11.9036i	−1.41074	−	0.679375i	−0.975308	+	0.220848i	$0.929118\pi$
$308$	0.303258	−	3.65331i	0.0172797	−	0.208167i
$309$	−1.58171	+	0.761710i	−0.0899801	+	0.0433321i
$310$	−4.31578	+	18.9087i	−0.245120	+	1.07394i
$311$	9.69353	−	12.1553i	0.549670	−	0.689264i	−0.426941	−	0.904280i	$-0.640409\pi$
$311$	9.69353	−	12.1553i	0.549670	−	0.689264i	0.976611	+	0.215015i	$0.0689802\pi$
$312$	−0.116314			−0.00658498
$313$	−9.52994			−0.538664			−0.269332	−	0.963047i	$-0.586803\pi$
$313$	−9.52994			−0.538664			−0.269332	+	0.963047i	$0.586803\pi$
$314$	−2.56686	+	3.21875i	−0.144856	+	0.181644i
$315$	−10.8642	−	28.3480i	−0.612131	−	1.59723i
$316$	−2.59698	−	3.25651i	−0.146092	−	0.183193i
$317$	2.55250	+	3.20073i	0.143362	+	0.179771i	0.848329	−	0.529470i	$-0.177609\pi$
$317$	2.55250	+	3.20073i	0.143362	+	0.179771i	−0.704966	+	0.709241i	$0.749038\pi$
$318$	2.08547	−	1.00431i	0.116947	−	0.0563188i
$319$	5.37418	−	2.58807i	0.300897	−	0.144904i
$320$	2.44221	+	3.06244i	0.136524	+	0.171195i
$321$	0.860626	+	1.07919i	0.0480355	+	0.0602346i
$322$	2.01017	−	24.2163i	0.112022	−	1.34952i
$323$	6.76000	−	8.47677i	0.376137	−	0.471660i
$324$	8.36954			0.464974
$325$	4.52748			0.251140
$326$	−13.2325	+	16.5930i	−0.732880	+	0.919002i
$327$	0.121972	−	0.534393i	0.00674506	−	0.0295520i
$328$	−10.6938	+	5.14984i	−0.590464	+	0.284353i
$329$	1.92287	+	1.81307i	0.106011	+	0.0999580i
$330$	1.29930	+	0.625712i	0.0715243	+	0.0344443i
$331$	−18.7163	+	23.4695i	−1.02874	+	1.29000i	−0.0725148	+	0.997367i	$0.523102\pi$
$331$	−18.7163	+	23.4695i	−1.02874	+	1.29000i	−0.956225	+	0.292632i	$0.905469\pi$
$332$	−10.1157	−	4.87145i	−0.555170	−	0.267356i
$333$	−2.88146	+	12.6245i	−0.157903	+	0.691820i
$334$	10.6443	−	5.12604i	0.582432	−	0.280484i
$335$	−3.30897	−	14.4975i	−0.180788	−	0.792086i
$336$	−0.670102	−	0.212599i	−0.0365571	−	0.0115982i
$337$	−0.912115	+	3.99624i	−0.0496861	+	0.217689i	−0.993676	−	0.112285i	$-0.964183\pi$
$337$	−0.912115	+	3.99624i	−0.0496861	+	0.217689i	0.943990	+	0.329974i	$0.107040\pi$
$338$	2.85013	+	12.4873i	0.155027	+	0.679217i
$339$	−2.05333	−	2.57480i	−0.111522	−	0.139844i
$340$	2.93094	+	12.8413i	0.158953	+	0.696417i
$341$	−6.18120	−	2.97671i	−0.334731	−	0.161198i
$342$	9.44524			0.510740
$343$	11.1955	+	14.7533i	0.604502	+	0.796604i
$344$	−3.03121			−0.163432
$345$	8.61253	+	4.14758i	0.463683	+	0.223298i
$346$	2.72754	+	11.9501i	0.146633	+	0.642443i
$347$	5.71131	+	7.16175i	0.306599	+	0.384463i	0.911130	−	0.412118i	$-0.135211\pi$
$347$	5.71131	+	7.16175i	0.306599	+	0.384463i	−0.604531	+	0.796581i	$0.706640\pi$
$348$	−0.254544	−	1.11523i	−0.0136450	−	0.0597826i
$349$	−1.78414	+	7.81682i	−0.0955027	+	0.418425i	−0.999967	−	0.00812470i	$-0.997414\pi$
$349$	−1.78414	+	7.81682i	−0.0955027	+	0.418425i	0.904464	+	0.426549i	$0.140271\pi$
$350$	26.0835	+	8.27535i	1.39422	+	0.442336i
$351$	−0.153466	−	0.672379i	−0.00819142	−	0.0358890i
$352$	−1.24836	+	0.601177i	−0.0665377	+	0.0320428i
$353$	−4.24748	+	18.6094i	−0.226071	+	0.990480i	0.726739	+	0.686913i	$0.241035\pi$
$353$	−4.24748	+	18.6094i	−0.226071	+	0.990480i	−0.952810	+	0.303567i	$0.901822\pi$
$354$	2.50066	+	1.20425i	0.132908	+	0.0640053i
$355$	−20.3665	+	25.5388i	−1.08094	+	1.35546i
$356$	3.75652	+	1.80905i	0.199095	+	0.0958792i
$357$	−1.71999	−	1.62178i	−0.0910316	−	0.0858337i
$358$	14.6780	−	7.06854i	0.775755	−	0.373584i
$359$	4.08338	−	17.8905i	0.215513	−	0.944222i	−0.745236	−	0.666801i	$-0.767663\pi$
$359$	4.08338	−	17.8905i	0.215513	−	0.944222i	0.960748	−	0.277421i	$-0.0894797\pi$
$360$	−7.15420	+	8.97109i	−0.377060	+	0.472818i
$361$	−8.60390			−0.452837
$362$	−6.04247			−0.317585
$363$	1.50433	−	1.88637i	0.0789567	−	0.0990086i
$364$	0.0958070	−	1.15417i	0.00502165	−	0.0604952i
$365$	21.6246	+	27.1164i	1.13189	+	1.41934i
$366$	−1.21655	−	1.52551i	−0.0635902	−	0.0797395i
$367$	3.47052	−	1.67131i	0.181160	−	0.0872419i	−0.341106	−	0.940025i	$-0.610801\pi$
$367$	3.47052	−	1.67131i	0.181160	−	0.0872419i	0.522265	+	0.852783i	$0.325087\pi$
$368$	−8.27483	+	3.98495i	−0.431355	+	0.207730i
$369$	−21.6784	−	27.1839i	−1.12853	−	1.41514i
$370$	−10.7956	−	13.5373i	−0.561238	−	0.703770i
$371$	8.24789	+	21.5212i	0.428209	+	1.11732i
$372$	−0.820317	+	1.02864i	−0.0425314	+	0.0533327i
$373$	−29.2866			−1.51640			−0.758202	−	0.652020i	$-0.773922\pi$
$373$	−29.2866			−1.51640			−0.758202	+	0.652020i	$0.773922\pi$
$374$	−4.65920			−0.240921
$375$	−3.46721	+	4.34774i	−0.179046	+	0.224517i
$376$	0.222277	−	0.973859i	0.0114631	−	0.0502229i
$377$	1.69784	−	0.817637i	0.0874433	−	0.0421105i
$378$	0.344835	−	4.15419i	0.0177364	−	0.213668i
$379$	18.5315	+	8.92431i	0.951901	+	0.458411i	0.844352	−	0.535789i	$-0.179986\pi$
$379$	18.5315	+	8.92431i	0.951901	+	0.458411i	0.107549	+	0.994200i	$0.465700\pi$
$380$	−7.87442	+	9.87421i	−0.403949	+	0.506536i
$381$	−2.55707	−	1.23142i	−0.131003	−	0.0630875i
$382$	−2.89867	+	12.6999i	−0.148309	+	0.649784i
$383$	6.85531	−	3.30134i	0.350290	−	0.168691i	−0.250462	−	0.968127i	$-0.580582\pi$
$383$	6.85531	−	3.30134i	0.350290	−	0.168691i	0.600752	+	0.799436i	$0.294868\pi$
$384$	0.0591274	+	0.259054i	0.00301733	+	0.0132198i
$385$	−7.27912	+	12.3775i	−0.370978	+	0.630816i
$386$	−2.26413	+	9.91981i	−0.115241	+	0.504905i
$387$	−1.97590	−	8.65697i	−0.100440	−	0.440058i
$388$	1.92309	+	2.41148i	0.0976301	+	0.122424i
$389$	−4.62255	−	20.2527i	−0.234373	−	1.02685i	−0.945967	−	0.324263i	$-0.894884\pi$
$389$	−4.62255	−	20.2527i	−0.234373	−	1.02685i	0.711594	−	0.702590i	$-0.247973\pi$
$390$	0.410483	+	0.197678i	0.0207856	+	0.0100098i
$391$	−30.8838			−1.56186
$392$	2.66156	−	6.47426i	0.134429	−	0.327000i
$393$	−1.74849			−0.0881997
$394$	−15.8547	−	7.63524i	−0.798750	−	0.384658i
$395$	3.63049	+	15.9062i	0.182670	+	0.800328i
$396$	−2.53067	−	3.17337i	−0.127171	−	0.159468i
$397$	5.81383	+	25.4720i	0.291788	+	1.27841i	0.882035	+	0.471183i	$0.156173\pi$
$397$	5.81383	+	25.4720i	0.291788	+	1.27841i	−0.590248	+	0.807222i	$0.700970\pi$
$398$	4.77589	−	20.9246i	0.239394	−	1.04885i
$399$	0.187515	−	2.25897i	0.00938751	−	0.113090i
$400$	−2.30152	−	10.0836i	−0.115076	−	0.504180i
$401$	0.156861	−	0.0755401i	0.00783324	−	0.00377229i	−0.429963	−	0.902847i	$-0.641473\pi$
$401$	0.156861	−	0.0755401i	0.00783324	−	0.00377229i	0.437796	+	0.899074i	$0.355759\pi$
$402$	0.224469	−	0.983464i	0.0111955	−	0.0490507i
$403$	−1.95280	−	0.940418i	−0.0972758	−	0.0468456i
$404$	4.56664	−	5.72639i	0.227199	−	0.284899i
$405$	−29.5369	−	14.2242i	−1.46770	−	0.706808i
$406$	11.2760	−	1.60721i	0.559619	−	0.0797647i
$407$	5.51828	−	2.65746i	0.273531	−	0.131725i
$408$	−0.198825	+	0.871109i	−0.00984331	+	0.0431263i
$409$	−22.1994	+	27.8372i	−1.09769	+	1.37646i	−0.177903	+	0.984048i	$0.556931\pi$
$409$	−22.1994	+	27.8372i	−1.09769	+	1.37646i	−0.919789	+	0.392414i	$0.871640\pi$
$410$	46.4916			2.29606
$411$	4.39309			0.216695
$412$	−4.11934	+	5.16549i	−0.202945	+	0.254485i
$413$	−14.0095	+	23.8219i	−0.689362	+	1.17220i
$414$	−16.7748	−	21.0349i	−0.824435	−	1.03381i
$415$	27.4201	+	34.3837i	1.34600	+	1.68783i
$416$	−0.394388	+	0.189927i	−0.0193364	+	0.00931194i
$417$	2.34178	−	1.12774i	0.114677	−	0.0552257i
$418$	−2.78544	−	3.49283i	−0.136240	−	0.170840i
$419$	19.9551	+	25.0229i	0.974869	+	1.22245i	0.974945	+	0.222447i	$0.0714044\pi$
$419$	19.9551	+	25.0229i	0.974869	+	1.22245i	−7.59212e−5		1.00000i	$0.500024\pi$
$420$	2.00354	+	1.88914i	0.0977628	+	0.0921805i
$421$	9.54283	−	11.9663i	0.465089	−	0.583203i	−0.492872	−	0.870102i	$-0.664053\pi$
$421$	9.54283	−	11.9663i	0.465089	−	0.583203i	0.957961	+	0.286899i	$0.0926243\pi$
$422$	−5.35741			−0.260795
$423$	2.92618			0.142276
$424$	5.43131	−	6.81065i	0.263768	−	0.330754i
$425$	7.73920	−	33.9077i	0.375407	−	1.64476i
$426$	−1.99646	+	0.961445i	−0.0967288	+	0.0465822i
$427$	16.1396	−	10.8152i	0.781048	−	0.523384i
$428$	4.68034	+	2.25393i	0.226233	+	0.108948i
$429$	−0.100482	+	0.126001i	−0.00485133	+	0.00608338i
$430$	10.6974	+	5.15161i	0.515876	+	0.248433i
$431$	−2.89551	+	12.6860i	−0.139472	+	0.611065i	0.856080	+	0.516844i	$0.172893\pi$
$431$	−2.89551	+	12.6860i	−0.139472	+	0.611065i	−0.995551	+	0.0942212i	$0.969964\pi$
$432$	−1.41951	+	0.683600i	−0.0682962	+	0.0328897i
$433$	−3.78322	−	16.5754i	−0.181810	−	0.796562i	−0.980768	−	0.195176i	$-0.937472\pi$
$433$	−3.78322	−	16.5754i	−0.181810	−	0.796562i	0.798958	−	0.601387i	$-0.205385\pi$
$434$	−9.53148	−	8.98723i	−0.457526	−	0.431401i
$435$	−0.997049	+	4.36836i	−0.0478049	+	0.209447i
$436$	−0.459030	−	2.01114i	−0.0219836	−	0.0963163i
$437$	−18.4635	−	23.1525i	−0.883228	−	1.10753i
$438$	0.523546	+	2.29380i	0.0250160	+	0.109602i
$439$	−28.6335	−	13.7892i	−1.36660	−	0.658121i	−0.400503	−	0.916295i	$-0.631165\pi$
$439$	−28.6335	−	13.7892i	−1.36660	−	0.658121i	−0.966098	+	0.258175i	$0.916879\pi$
$440$	5.42729			0.258736
$441$	20.2251	+	3.38103i	0.963100	+	0.161002i
$442$	−1.47196			−0.0700140
$443$	−3.59975	−	1.73355i	−0.171029	−	0.0823633i	0.346410	−	0.938083i	$-0.387400\pi$
$443$	−3.59975	−	1.73355i	−0.171029	−	0.0823633i	−0.517440	+	0.855720i	$0.673115\pi$
$444$	−0.261369	−	1.14513i	−0.0124040	−	0.0543455i
$445$	−10.1826	−	12.7686i	−0.482703	−	0.605290i
$446$	0.504579	+	2.21070i	0.0238925	+	0.104680i
$447$	−0.874327	+	3.83068i	−0.0413543	+	0.181185i
$448$	−2.61928	+	0.373336i	−0.123749	+	0.0176385i
$449$	−3.37884	−	14.8037i	−0.159458	−	0.698629i	−0.989929	−	0.141567i	$-0.954786\pi$
$449$	−3.37884	−	14.8037i	−0.159458	−	0.698629i	0.830471	−	0.557062i	$-0.188071\pi$
$450$	27.2980	−	13.1460i	1.28684	−	0.619710i
$451$	−3.65949	+	16.0333i	−0.172319	+	0.754977i
$452$	−11.1666	−	5.37756i	−0.525234	−	0.252939i
$453$	1.32698	−	1.66398i	0.0623468	−	0.0781805i
$454$	21.7346	+	10.4668i	1.02006	+	0.491233i
$455$	−2.29966	+	3.91037i	−0.107810	+	0.183321i
$456$	−0.771903	+	0.371729i	−0.0361477	+	0.0174078i
$457$	4.18351	−	18.3292i	0.195697	−	0.857403i	−0.777766	−	0.628554i	$-0.783647\pi$
$457$	4.18351	−	18.3292i	0.195697	−	0.857403i	0.973462	−	0.228848i	$-0.0734959\pi$
$458$	−3.25496	+	4.08159i	−0.152094	+	0.190720i
$459$	−5.29798			−0.247289
$460$	35.9752			1.67735
$461$	−2.44211	+	3.06231i	−0.113740	+	0.142626i	−0.835443	−	0.549578i	$-0.814789\pi$
$461$	−2.44211	+	3.06231i	−0.113740	+	0.142626i	0.721702	+	0.692204i	$0.243360\pi$
$462$	−0.809200	+	0.542249i	−0.0376474	+	0.0252277i
$463$	−12.9342	−	16.2189i	−0.601102	−	0.753758i	0.384447	−	0.923147i	$-0.374392\pi$
$463$	−12.9342	−	16.2189i	−0.601102	−	0.753758i	−0.985549	+	0.169389i	$0.945821\pi$
$464$	−2.68413	−	3.36579i	−0.124607	−	0.156253i
$465$	4.64318	−	2.23604i	0.215323	−	0.103694i
$466$	−16.1300	+	7.76778i	−0.747206	+	0.359835i
$467$	−12.9655	−	16.2583i	−0.599973	−	0.752343i	0.385401	−	0.922749i	$-0.374063\pi$
$467$	−12.9655	−	16.2583i	−0.599973	−	0.752343i	−0.985374	+	0.170407i	$0.945492\pi$
$468$	−0.799504	−	1.00255i	−0.0369571	−	0.0463427i
$469$	9.57395	+	3.03747i	0.442084	+	0.140257i
$470$	−2.43953	+	3.05908i	−0.112527	+	0.141105i
$471$	1.09393			0.0504059
$472$	10.4454			0.480790
$473$	−2.61863	+	3.28365i	−0.120405	+	0.150983i
$474$	−0.246280	+	1.07902i	−0.0113120	+	0.0495611i
$475$	30.0461	−	14.4694i	1.37861	−	0.663904i
$476$	−8.48019	−	2.69045i	−0.388689	−	0.123317i
$477$	22.9913	+	11.0720i	1.05270	+	0.506953i
$478$	2.25458	−	2.82715i	0.103122	−	0.129311i
$479$	15.0202	+	7.23336i	0.686292	+	0.330501i	0.744328	−	0.667814i	$-0.232770\pi$
$479$	15.0202	+	7.23336i	0.686292	+	0.330501i	−0.0580365	+	0.998314i	$0.518484\pi$
$480$	0.231602	−	1.01472i	0.0105712	−	0.0463152i
$481$	1.74336	−	0.839559i	0.0794905	−	0.0382806i
$482$	−0.308354	−	1.35099i	−0.0140451	−	0.0615358i
$483$	−5.36384	+	3.59434i	−0.244063	+	0.163548i
$484$	2.02053	−	8.85253i	0.0918424	−	0.402388i
$485$	−2.68841	−	11.7787i	−0.122074	−	0.534843i
$486$	−4.33358	−	5.43414i	−0.196575	−	0.246498i
$487$	−4.02894	−	17.6519i	−0.182569	−	0.799885i	−0.980402	−	0.197007i	$-0.936878\pi$
$487$	−4.02894	−	17.6519i	−0.182569	−	0.799885i	0.797833	−	0.602878i	$-0.205979\pi$
$488$	−6.61596	−	3.18608i	−0.299490	−	0.144227i
$489$	5.63936			0.255021
$490$	−20.3961	+	18.3249i	−0.921401	+	0.827835i
$491$	−30.3683			−1.37050			−0.685252	−	0.728306i	$-0.740308\pi$
$491$	−30.3683			−1.37050			−0.685252	+	0.728306i	$0.740308\pi$
$492$	2.84150	+	1.36840i	0.128105	+	0.0616921i
$493$	−3.22127	−	14.1133i	−0.145079	−	0.635631i
$494$	−0.879991	−	1.10347i	−0.0395927	−	0.0496476i
$495$	3.53779	+	15.5001i	0.159012	+	0.696676i
$496$	−1.10181	+	4.82733i	−0.0494725	+	0.216753i
$497$	−7.89588	−	20.6027i	−0.354178	−	0.924156i
$498$	0.663856	+	2.90854i	0.0297481	+	0.130335i
$499$	28.2105	−	13.5855i	1.26288	−	0.608169i	0.321942	−	0.946759i	$-0.395664\pi$
$499$	28.2105	−	13.5855i	1.26288	−	0.608169i	0.940934	+	0.338590i	$0.109950\pi$
$500$	−4.65697	+	20.4035i	−0.208266	+	0.912474i
$501$	−2.82837	−	1.36207i	−0.126362	−	0.0608529i
$502$	−2.53633	+	3.18046i	−0.113202	+	0.141951i
$503$	18.6588	+	8.98560i	0.831954	+	0.400648i	0.800848	−	0.598868i	$-0.204383\pi$
$503$	18.6588	+	8.98560i	0.831954	+	0.400648i	0.0311065	+	0.999516i	$0.490097\pi$
$504$	−2.77361	−	7.23717i	−0.123546	−	0.322369i
$505$	−25.8483	+	12.4479i	−1.15023	+	0.553923i
$506$	−2.83171	+	12.4065i	−0.125885	+	0.551538i
$507$	2.12198	−	2.66088i	0.0942405	−	0.118174i
$508$	−10.6811			−0.473896
$509$	29.4744			1.30643			0.653215	−	0.757173i	$-0.273420\pi$
$509$	29.4744			1.30643			0.653215	+	0.757173i	$0.273420\pi$
$510$	2.18214	−	2.73632i	0.0966270	−	0.121166i
$511$	−23.1925	+	3.30572i	−1.02598	+	0.146236i
$512$	0.623490	+	0.781831i	0.0275546	+	0.0345524i
$513$	−3.16733	−	3.97170i	−0.139841	−	0.175355i
$514$	9.14757	−	4.40524i	0.403482	−	0.194307i
$515$	23.3164	−	11.2286i	1.02744	−	0.494791i
$516$	0.502184	+	0.629719i	0.0221074	+	0.0277218i
$517$	−0.862943	−	1.08210i	−0.0379522	−	0.0475905i
$518$	11.5783	−	1.65031i	0.508723	−	0.0725103i
$519$	2.03071	−	2.54643i	0.0891382	−	0.111776i
$520$	1.71462			0.0751910
$521$	29.5899			1.29636			0.648179	−	0.761488i	$-0.275531\pi$
$521$	29.5899			1.29636			0.648179	+	0.761488i	$0.275531\pi$
$522$	7.86287	−	9.85972i	0.344148	−	0.431548i
$523$	−0.958045	+	4.19747i	−0.0418924	+	0.183543i	−0.991545	−	0.129762i	$-0.958579\pi$
$523$	−0.958045	+	4.19747i	−0.0418924	+	0.183543i	0.949653	+	0.313304i	$0.101436\pi$
$524$	−5.92864	+	2.85508i	−0.258994	+	0.124725i
$525$	−2.60213	−	6.78972i	−0.113566	−	0.296328i
$526$	9.28299	+	4.47045i	0.404758	+	0.194921i
$527$	−10.3812	+	13.0176i	−0.452210	+	0.567054i
$528$	0.331709	+	0.159742i	0.0144358	+	0.00695190i
$529$	−13.6522	+	59.8143i	−0.593575	+	2.60062i
$530$	−30.7425	+	14.8048i	−1.33537	+	0.643080i
$531$	6.80887	+	29.8316i	0.295480	+	1.29458i
$532$	−3.05283	−	7.96573i	−0.132357	−	0.345358i
$533$	−1.15613	+	5.06532i	−0.0500774	+	0.219403i
$534$	−0.246527	−	1.08011i	−0.0106683	−	0.0467408i
$535$	−12.6868	−	15.9087i	−0.548496	−	0.687793i
$536$	−0.844771	−	3.70118i	−0.0364885	−	0.159867i
$537$	−3.90018	−	1.87823i	−0.168305	−	0.0810514i
$538$	14.0586			0.606108
$539$	−4.71416	−	8.47628i	−0.203053	−	0.365099i
$540$	6.17138			0.265574
$541$	12.7937	+	6.16110i	0.550042	+	0.264886i	0.688197	−	0.725524i	$-0.258403\pi$
$541$	12.7937	+	6.16110i	0.550042	+	0.264886i	−0.138154	+	0.990411i	$0.544117\pi$
$542$	−5.20849	−	22.8199i	−0.223724	−	0.980198i
$543$	1.00106	+	1.25529i	0.0429598	+	0.0538698i
$544$	0.748261	+	3.27835i	0.0320814	+	0.140558i
$545$	−1.79802	+	7.87766i	−0.0770189	+	0.337442i
$546$	−0.255647	+	0.171310i	−0.0109407	+	0.00733140i
$547$	3.76712	+	16.5049i	0.161071	+	0.705696i	0.989371	+	0.145412i	$0.0464509\pi$
$547$	3.76712	+	16.5049i	0.161071	+	0.705696i	−0.828301	+	0.560284i	$0.810692\pi$
$548$	14.8957	−	7.17341i	0.636315	−	0.306433i
$549$	4.78665	−	20.9717i	0.204289	−	0.895050i
$550$	−12.9117	−	6.21793i	−0.550555	−	0.265133i
$551$	8.65443	−	10.8523i	0.368691	−	0.462324i
$552$	2.19876	+	1.05886i	0.0935852	+	0.0450683i
$553$	−10.5042	−	3.33260i	−0.446684	−	0.141717i
$554$	−13.6714	+	6.58380i	−0.580842	+	0.279719i
$555$	−1.02378	+	4.48548i	−0.0434571	+	0.190398i
$556$	6.09883	−	7.64770i	0.258648	−	0.324335i
$557$	31.1641			1.32046			0.660232	−	0.751062i	$-0.270458\pi$
$557$	31.1641			1.32046			0.660232	+	0.751062i	$0.270458\pi$
$558$	−14.5048			−0.614038
$559$	−0.827291	+	1.03739i	−0.0349907	+	0.0438769i
$560$	9.87819	+	3.13399i	0.417430	+	0.132435i
$561$	0.771896	+	0.967927i	0.0325895	+	0.0408659i
$562$	−3.68811	−	4.62475i	−0.155574	−	0.195083i
$563$	23.7468	−	11.4358i	1.00081	−	0.481963i	0.139595	−	0.990209i	$-0.455420\pi$
$563$	23.7468	−	11.4358i	1.00081	−	0.481963i	0.861212	+	0.508246i	$0.169706\pi$
$564$	−0.239140	+	0.115164i	−0.0100696	+	0.00484926i
$565$	30.2688	+	37.9559i	1.27342	+	1.59682i
$566$	−12.3336	−	15.4659i	−0.518421	−	0.650080i
$567$	18.3954	−	12.3269i	0.772536	−	0.517680i
$568$	−5.19951	+	6.51998i	−0.218167	+	0.273572i
$569$	7.42565			0.311299			0.155650	−	0.987812i	$-0.450253\pi$
$569$	7.42565			0.311299			0.155650	+	0.987812i	$0.450253\pi$
$570$	3.35589			0.140563
$571$	1.76195	−	2.20942i	0.0737355	−	0.0924613i	−0.743596	−	0.668630i	$-0.766881\pi$
$571$	1.76195	−	2.20942i	0.0737355	−	0.0924613i	0.817331	+	0.576168i	$0.195453\pi$
$572$	−0.134963	+	0.591310i	−0.00564307	+	0.0247239i
$573$	3.11857	−	1.50183i	0.130280	−	0.0627397i
$574$	−15.9190	+	27.0689i	−0.664448	+	1.12983i
$575$	−85.5859	−	41.2160i	−3.56918	−	1.71883i
$576$	−1.82645	+	2.29029i	−0.0761020	+	0.0954289i
$577$	−23.0259	−	11.0887i	−0.958580	−	0.461628i	−0.111894	−	0.993720i	$-0.535692\pi$
$577$	−23.0259	−	11.0887i	−0.958580	−	0.461628i	−0.846686	+	0.532092i	$0.821406\pi$
$578$	1.26671	−	5.54983i	0.0526883	−	0.230843i
$579$	2.43589	−	1.17307i	0.101232	−	0.0487509i
$580$	3.75231	+	16.4399i	0.155806	+	0.682631i
$581$	−29.4081	+	4.19165i	−1.22005	+	0.173899i
$582$	0.182372	−	0.799026i	0.00755958	−	0.0331207i
$583$	−2.68581	−	11.7673i	−0.111235	−	0.487352i
$584$	5.52071	+	6.92275i	0.228449	+	0.286465i
$585$	1.11768	+	4.89686i	0.0462103	+	0.202460i
$586$	−15.6207	−	7.52254i	−0.645286	−	0.310753i
$587$	−5.60154			−0.231200			−0.115600	−	0.993296i	$-0.536879\pi$
$587$	−5.60154			−0.231200			−0.115600	+	0.993296i	$0.536879\pi$
$588$	−1.78594	+	0.519672i	−0.0736510	+	0.0214309i
$589$	−15.9650			−0.657827
$590$	−36.8629	−	17.7523i	−1.51762	−	0.730849i
$591$	1.04049	+	4.55869i	0.0428000	+	0.187519i
$592$	−2.75609	−	3.45603i	−0.113275	−	0.142042i
$593$	−2.00550	−	8.78668i	−0.0823561	−	0.360826i	0.916912	−	0.399091i	$-0.130674\pi$
$593$	−2.00550	−	8.78668i	−0.0823561	−	0.360826i	−0.999268	+	0.0382649i	$0.987817\pi$
$594$	−0.485767	+	2.12829i	−0.0199313	+	0.0873246i
$595$	25.3549	+	23.9072i	1.03945	+	0.980098i
$596$	3.29045	+	14.4164i	0.134782	+	0.590520i
$597$	−5.13821	+	2.47443i	−0.210293	+	0.101272i
$598$	−0.894610	+	3.91954i	−0.0365833	+	0.160282i
$599$	−18.4563	−	8.88809i	−0.754105	−	0.363158i	0.0170089	−	0.999855i	$-0.494586\pi$
$599$	−18.4563	−	8.88809i	−0.754105	−	0.363158i	−0.771114	+	0.636698i	$0.780300\pi$
$600$	−1.71353	+	2.14869i	−0.0699544	+	0.0877200i
$601$	20.5198	+	9.88180i	0.837019	+	0.403087i	0.802743	−	0.596325i	$-0.203373\pi$
$601$	20.5198	+	9.88180i	0.837019	+	0.403087i	0.0342760	+	0.999412i	$0.489087\pi$
$602$	−6.66230	+	4.46444i	−0.271535	+	0.181957i
$603$	10.0197	−	4.82524i	0.408035	−	0.196499i
$604$	1.78233	−	7.80888i	0.0725218	−	0.317739i
$605$	−22.1758	+	27.8075i	−0.901573	+	1.13054i
$606$	−1.94619			−0.0790587
$607$	−6.18017			−0.250845			−0.125423	−	0.992103i	$-0.540029\pi$
$607$	−6.18017			−0.250845			−0.125423	+	0.992103i	$0.540029\pi$
$608$	−2.01032	+	2.52086i	−0.0815291	+	0.102234i
$609$	−2.20200	−	2.07627i	−0.0892296	−	0.0841346i
$610$	17.9336	+	22.4880i	0.726109	+	0.910511i
$611$	−0.272626	−	0.341862i	−0.0110292	−	0.0138302i
$612$	−8.87503	+	4.27399i	−0.358752	+	0.172766i
$613$	14.1141	−	6.79701i	0.570064	−	0.274529i	−0.126567	−	0.991958i	$-0.540396\pi$
$613$	14.1141	−	6.79701i	0.570064	−	0.274529i	0.696631	+	0.717430i	$0.254681\pi$
$614$	17.1055	+	21.4496i	0.690320	+	0.865634i
$615$	−7.70233	−	9.65841i	−0.310588	−	0.389465i
$616$	−1.85834	+	3.15994i	−0.0748746	+	0.127318i
$617$	4.66780	−	5.85323i	0.187918	−	0.235642i	−0.678944	−	0.734190i	$-0.737562\pi$
$617$	4.66780	−	5.85323i	0.187918	−	0.235642i	0.866862	+	0.498548i	$0.166133\pi$
$618$	1.75556			0.0706190
$619$	12.7974			0.514371			0.257185	−	0.966362i	$-0.417205\pi$
$619$	12.7974			0.514371			0.257185	+	0.966362i	$0.417205\pi$
$620$	12.0925	−	15.1636i	0.485648	−	0.608983i
$621$	−3.21994	+	14.1075i	−0.129212	+	0.566114i
$622$	−14.0076	+	6.74568i	−0.561652	+	0.270477i
$623$	10.9209	−	1.55660i	0.437536	−	0.0623637i
$624$	0.104795	+	0.0504667i	0.00419516	+	0.00202028i
$625$	18.8677	−	23.6593i	0.754707	−	0.946373i
$626$	8.58618	+	4.13489i	0.343173	+	0.165263i
$627$	−0.264152	+	1.15732i	−0.0105492	+	0.0462190i
$628$	3.70923	−	1.78627i	0.148014	−	0.0712799i
$629$	−3.30764	−	14.4917i	−0.131884	−	0.577822i
$630$	−2.51140	+	30.2545i	−0.100056	+	1.20537i
$631$	2.71621	−	11.9005i	0.108131	−	0.473751i	−0.891648	−	0.452728i	$-0.850451\pi$
$631$	2.71621	−	11.9005i	0.108131	−	0.473751i	0.999779	−	0.0210224i	$-0.00669213\pi$
$632$	0.926853	+	4.06081i	0.0368682	+	0.161530i
$633$	0.887569	+	1.11298i	0.0352777	+	0.0442368i
$634$	−0.910975	−	3.99124i	−0.0361794	−	0.158513i
$635$	37.6945	+	18.1527i	1.49586	+	0.720369i
$636$	−2.31469			−0.0917835
$637$	−1.48932	−	2.67787i	−0.0590092	−	0.106101i
$638$	−5.96489			−0.236152
$639$	−22.0100	−	10.5995i	−0.870703	−	0.419309i
$640$	−0.871615	−	3.81880i	−0.0344536	−	0.150951i
$641$	12.4710	+	15.6381i	0.492574	+	0.617668i	0.964536	−	0.263951i	$-0.0850256\pi$
$641$	12.4710	+	15.6381i	0.492574	+	0.617668i	−0.471962	+	0.881619i	$0.656454\pi$
$642$	−0.307154	−	1.34573i	−0.0121224	−	0.0531117i
$643$	−6.00368	+	26.3039i	−0.236762	+	1.03732i	0.707134	+	0.707080i	$0.249988\pi$
$643$	−6.00368	+	26.3039i	−0.236762	+	1.03732i	−0.943896	+	0.330243i	$0.892869\pi$
$644$	−12.3181	+	20.9459i	−0.485403	+	0.825385i
$645$	−0.702034	−	3.07581i	−0.0276426	−	0.121110i
$646$	−9.76849	+	4.70425i	−0.384336	+	0.185086i
$647$	4.93382	−	21.6165i	0.193968	−	0.849831i	−0.780473	−	0.625189i	$-0.785022\pi$
$647$	4.93382	−	21.6165i	0.193968	−	0.849831i	0.974441	−	0.224642i	$-0.0721212\pi$
$648$	−7.54069	−	3.63141i	−0.296226	−	0.142655i
$649$	9.02370	−	11.3154i	0.354211	−	0.444167i
$650$	−4.07912	−	1.96440i	−0.159996	−	0.0770501i
$651$	−0.287962	+	3.46905i	−0.0112861	+	0.135963i
$652$	19.1215	−	9.20843i	0.748855	−	0.360630i
$653$	−1.24074	+	5.43605i	−0.0485540	+	0.212729i	−0.993385	−	0.114828i	$-0.963368\pi$
$653$	−1.24074	+	5.43605i	−0.0485540	+	0.212729i	0.944831	+	0.327557i	$0.106225\pi$
$654$	−0.341757	+	0.428550i	−0.0133638	+	0.0167576i
$655$	25.7751			1.00711
$656$	11.8692			0.463414
$657$	−16.1723	+	20.2795i	−0.630943	+	0.791178i
$658$	−0.945782	−	2.46782i	−0.0368704	−	0.0962058i
$659$	−1.27376	−	1.59724i	−0.0496186	−	0.0622197i	0.756403	−	0.654106i	$-0.226955\pi$
$659$	−1.27376	−	1.59724i	−0.0496186	−	0.0622197i	−0.806022	+	0.591886i	$0.798384\pi$
$660$	−0.899146	−	1.12749i	−0.0349992	−	0.0438876i
$661$	3.09182	−	1.48894i	0.120258	−	0.0579132i	−0.372787	−	0.927917i	$-0.621598\pi$
$661$	3.09182	−	1.48894i	0.120258	−	0.0579132i	0.493045	+	0.870004i	$0.335884\pi$
$662$	27.0458	−	13.0246i	1.05117	−	0.506215i
$663$	0.243861	+	0.305793i	0.00947079	+	0.0118760i
$664$	7.00026	+	8.77805i	0.271663	+	0.340655i
$665$	−2.76422	+	33.3002i	−0.107192	+	1.29133i
$666$	8.07369	−	10.1241i	0.312849	−	0.392300i
$667$	−39.5387			−1.53095
$668$	−11.8143			−0.457109
$669$	0.375669	−	0.471074i	0.0145242	−	0.0182128i
$670$	−3.30897	+	14.4975i	−0.127837	+	0.560089i
$671$	−9.16689	+	4.41454i	−0.353884	+	0.170421i
$672$	0.511498	+	0.482292i	0.0197315	+	0.0186048i
$673$	−1.13049	−	0.544417i	−0.0435773	−	0.0209857i	0.411968	−	0.911198i	$-0.364841\pi$
$673$	−1.13049	−	0.544417i	−0.0435773	−	0.0209857i	−0.455545	+	0.890213i	$0.650556\pi$
$674$	2.55569	−	3.20473i	0.0984414	−	0.123442i
$675$	−14.6819	−	7.07042i	−0.565105	−	0.272140i
$676$	2.85013	−	12.4873i	0.109621	−	0.480279i
$677$	27.3238	−	13.1585i	1.05014	−	0.505720i	0.172484	−	0.985012i	$-0.444821\pi$
$677$	27.3238	−	13.1585i	1.05014	−	0.505720i	0.877655	+	0.479292i	$0.159107\pi$
$678$	0.732826	+	3.21072i	0.0281440	+	0.123307i
$679$	7.77846	+	2.46782i	0.298510	+	0.0947063i
$680$	2.93094	−	12.8413i	0.112396	−	0.492441i
$681$	−1.42637	−	6.24932i	−0.0546585	−	0.239474i
$682$	4.27752	+	5.36385i	0.163795	+	0.205392i
$683$	6.48830	+	28.4271i	0.248268	+	1.08773i	0.933265	+	0.359188i	$0.116946\pi$
$683$	6.48830	+	28.4271i	0.248268	+	1.08773i	−0.684997	+	0.728546i	$0.740197\pi$
$684$	−8.50987	−	4.09814i	−0.325383	−	0.156696i
$685$	−64.7599			−2.47435
$686$	−3.68560	−	18.1498i	−0.140717	−	0.692964i
$687$	1.38718			0.0529243
$688$	2.73102	+	1.31519i	0.104119	+	0.0501412i
$689$	−0.848515	−	3.71759i	−0.0323259	−	0.141629i
$690$	−5.96006	−	7.47368i	−0.226896	−	0.284518i
$691$	−3.44633	−	15.0994i	−0.131105	−	0.574407i	−0.997217	−	0.0745572i	$-0.976246\pi$
$691$	−3.44633	−	15.0994i	−0.131105	−	0.574407i	0.866112	−	0.499850i	$-0.166611\pi$
$692$	2.72754	−	11.9501i	0.103685	−	0.454276i
$693$	−10.2360	−	3.24751i	−0.388833	−	0.123363i
$694$	−2.03834	−	8.93056i	−0.0773744	−	0.338999i
$695$	−34.5208	+	16.6244i	−1.30945	+	0.630598i
$696$	−0.254544	+	1.11523i	−0.00964846	+	0.0422727i
$697$	35.9594	+	17.3171i	1.36206	+	0.655934i
$698$	4.99904	−	6.26860i	0.189217	−	0.237270i
$699$	4.28599	+	2.06402i	0.162111	+	0.0780686i
$700$	−19.9099	−	18.7731i	−0.752524	−	0.709555i
$701$	1.32704	−	0.639070i	0.0501217	−	0.0241373i	−0.408655	−	0.912689i	$-0.634002\pi$
$701$	1.32704	−	0.639070i	0.0501217	−	0.0241373i	0.458777	+	0.888552i	$0.348288\pi$
$702$	−0.153466	+	0.672379i	−0.00579221	+	0.0253773i
$703$	8.88647	−	11.1433i	0.335159	−	0.420277i
$704$	1.38557			0.0522207
$705$	1.03967			0.0391562
$706$	11.9012	−	14.9236i	0.447907	−	0.561657i
$707$	1.60307	−	19.3119i	0.0602895	−	0.726300i
$708$	−1.73051	−	2.16999i	−0.0650365	−	0.0815532i
$709$	9.55106	+	11.9766i	0.358698	+	0.449793i	0.928136	−	0.372242i	$-0.121411\pi$
$709$	9.55106	+	11.9766i	0.358698	+	0.449793i	−0.569438	+	0.822034i	$0.692839\pi$
$710$	29.4304	−	14.1730i	1.10450	−	0.531901i
$711$	−10.9933	+	5.29409i	−0.412280	+	0.198544i
$712$	−2.59959	−	3.25979i	−0.0974239	−	0.122166i
$713$	28.3539	+	35.5547i	1.06186	+	1.33153i
$714$	0.845995	+	2.20745i	0.0316606	+	0.0826117i
$715$	1.48124	−	1.85742i	0.0553953	−	0.0694635i
$716$	−16.2913			−0.608836
$717$	−0.960846			−0.0358834
$718$	−11.4414	+	14.3470i	−0.426988	+	0.535426i
$719$	11.6307	−	50.9576i	0.433753	−	1.90040i	−0.00131558	−	0.999999i	$-0.500419\pi$
$719$	11.6307	−	50.9576i	0.433753	−	1.90040i	0.435069	−	0.900397i	$-0.356724\pi$
$720$	10.3381	−	4.97858i	0.385279	−	0.185541i
$721$	−1.44604	+	17.4203i	−0.0538535	+	0.648766i
$722$	7.75185	+	3.73309i	0.288494	+	0.138931i
$723$	−0.229576	+	0.287879i	−0.00853801	+	0.0107063i
$724$	5.44408	+	2.62173i	0.202328	+	0.0974358i
$725$	9.90804	−	43.4100i	0.367975	−	1.61221i
$726$	−2.17382	+	1.04685i	−0.0806779	+	0.0388524i
$727$	−1.39175	−	6.09764i	−0.0516170	−	0.226149i	0.942540	−	0.334094i	$-0.108430\pi$
$727$	−1.39175	−	6.09764i	−0.0516170	−	0.226149i	−0.994157	+	0.107945i	$0.965573\pi$
$728$	−0.587097	+	0.998306i	−0.0217592	+	0.0369997i
$729$	5.17623	−	22.6785i	0.191712	−	0.839946i
$730$	−7.71775	−	33.8137i	−0.285647	−	1.25150i
$731$	6.35517	+	7.96913i	0.235054	+	0.294749i
$732$	0.434182	+	1.90228i	0.0160478	+	0.0703102i
$733$	4.65065	+	2.23963i	0.171775	+	0.0827227i	0.517796	−	0.855504i	$-0.326753\pi$
$733$	4.65065	+	2.23963i	0.171775	+	0.0827227i	−0.346020	+	0.938227i	$0.612467\pi$
$734$	−3.85199			−0.142179
$735$	7.18596	+	1.20128i	0.265058	+	0.0443098i
$736$	9.18437			0.338540
$737$	−4.73922	−	2.28229i	−0.174571	−	0.0840692i
$738$	7.73694	+	33.8978i	0.284801	+	1.24779i
$739$	−14.7168	−	18.4542i	−0.541364	−	0.678850i	0.433627	−	0.901093i	$-0.357234\pi$
$739$	−14.7168	−	18.4542i	−0.541364	−	0.678850i	−0.974991	+	0.222243i	$0.928662\pi$
$740$	3.85292	+	16.8807i	0.141636	+	0.620548i
$741$	−0.0834522	+	0.365628i	−0.00306569	+	0.0134317i
$742$	1.90660	−	22.9685i	0.0699934	−	0.843201i
$743$	9.66224	+	42.3330i	0.354473	+	1.55305i	0.766723	+	0.641978i	$0.221886\pi$
$743$	9.66224	+	42.3330i	0.354473	+	1.55305i	−0.412250	+	0.911071i	$0.635257\pi$
$744$	1.18539	−	0.570855i	0.0434586	−	0.0209285i
$745$	12.8887	−	56.4692i	0.472206	−	2.06887i
$746$	26.3863	+	12.7070i	0.966072	+	0.465236i
$747$	−20.5065	+	25.7144i	−0.750295	+	0.940840i
$748$	4.19779	+	2.02155i	0.153487	+	0.0739152i
$749$	13.6066	−	1.93940i	0.497174	−	0.0708641i
$750$	5.01026	−	2.41282i	0.182949	−	0.0881036i
$751$	5.85774	−	25.6645i	0.213752	−	0.936509i	−0.748239	−	0.663429i	$-0.769100\pi$
$751$	5.85774	−	25.6645i	0.213752	−	0.936509i	0.961991	−	0.273080i	$-0.0880424\pi$
$752$	−0.622806	+	0.780974i	−0.0227114	+	0.0284792i
$753$	1.08092			0.0393910
$754$	−1.88446			−0.0686280
$755$	−19.5614	+	24.5292i	−0.711912	+	0.892709i
$756$	−2.11312	+	3.59318i	−0.0768535	+	0.130683i
$757$	−3.19932	−	4.01182i	−0.116281	−	0.145812i	0.720284	−	0.693679i	$-0.244011\pi$
$757$	−3.19932	−	4.01182i	−0.116281	−	0.145812i	−0.836565	+	0.547867i	$0.815440\pi$
$758$	−12.8242	−	16.0811i	−0.465797	−	0.584090i
$759$	3.04653	−	1.46713i	0.110582	−	0.0532536i
$760$	11.3789	−	5.47977i	0.412755	−	0.198772i
$761$	3.39732	+	4.26011i	0.123153	+	0.154429i	0.839586	−	0.543227i	$-0.182798\pi$
$761$	3.39732	+	4.26011i	0.123153	+	0.154429i	−0.716433	+	0.697656i	$0.754226\pi$
$762$	1.76955	+	2.21894i	0.0641039	+	0.0803837i
$763$	−3.97097	−	3.74423i	−0.143759	−	0.135550i
$764$	8.12190	−	10.1845i	0.293840	−	0.368464i
$765$	38.5846			1.39503
$766$	−7.60882			−0.274918
$767$	2.85082	−	3.57481i	0.102937	−	0.129079i
$768$	0.0591274	−	0.259054i	0.00213358	−	0.00934781i
$769$	18.7241	−	9.01704i	0.675207	−	0.325163i	−0.0646679	−	0.997907i	$-0.520599\pi$
$769$	18.7241	−	9.01704i	0.675207	−	0.325163i	0.739875	+	0.672744i	$0.234885\pi$
$770$	11.9287	−	7.99346i	0.429879	−	0.288064i
$771$	−2.43066	−	1.17054i	−0.0875380	−	0.0421561i
$772$	6.34395	−	7.95507i	0.228324	−	0.286309i
$773$	−18.0258	−	8.68075i	−0.648342	−	0.312225i	0.0806549	−	0.996742i	$-0.474299\pi$
$773$	−18.0258	−	8.68075i	−0.648342	−	0.312225i	−0.728997	+	0.684517i	$0.760013\pi$
$774$	−1.97590	+	8.65697i	−0.0710221	+	0.311168i
$775$	−46.1410	+	22.2203i	−1.65743	+	0.798178i
$776$	−0.686343	−	3.00707i	−0.0246383	−	0.107947i
$777$	−2.26104	−	2.13194i	−0.0811144	−	0.0764828i
$778$	−4.62255	+	20.2527i	−0.165726	+	0.726095i
$779$	8.51582	+	37.3103i	0.305111	+	1.33678i
$780$	−0.284063	−	0.356204i	−0.0101711	−	0.0127541i
$781$	2.57118	+	11.2651i	0.0920041	+	0.403096i
$782$	27.8254	+	13.4000i	0.995034	+	0.479183i
$783$	−6.78269			−0.242394
$784$	−5.20706	+	4.67830i	−0.185967	+	0.167082i
$785$	−16.1260			−0.575563
$786$	1.57534	+	0.758642i	0.0561904	+	0.0270599i
$787$	−8.43837	−	36.9709i	−0.300795	−	1.31787i	−0.868930	−	0.494935i	$-0.835192\pi$
$787$	−8.43837	−	36.9709i	−0.300795	−	1.31787i	0.568134	−	0.822936i	$-0.307665\pi$
$788$	10.9718	+	13.7582i	0.390855	+	0.490116i
$789$	−0.609210	−	2.66912i	−0.0216885	−	0.0950233i
$790$	3.63049	−	15.9062i	0.129167	−	0.565917i
$791$	−32.4634	+	4.62713i	−1.15427	+	0.164522i
$792$	0.903187	+	3.95712i	0.0320934	+	0.140610i
$793$	−2.89605	+	1.39467i	−0.102842	+	0.0495260i
$794$	5.81383	−	25.4720i	0.206325	−	0.903969i
$795$	8.16878	+	3.93388i	0.289717	+	0.139520i
$796$	−13.3818	+	16.7802i	−0.474304	+	0.594758i
$797$	−21.5154	−	10.3613i	−0.762116	−	0.367016i	0.0121084	−	0.999927i	$-0.496146\pi$
$797$	−21.5154	−	10.3613i	−0.762116	−	0.367016i	−0.774225	+	0.632911i	$0.781860\pi$
$798$	−1.14908	+	1.95390i	−0.0406769	+	0.0691675i
$799$	−3.02633	+	1.45740i	−0.107064	+	0.0515592i
$800$	−2.30152	+	10.0836i	−0.0813709	+	0.356509i
$801$	7.61524	−	9.54921i	0.269071	−	0.337405i
$802$	−0.174102			−0.00614776
$803$	12.2686			0.432949
$804$	−0.628949	+	0.788677i	−0.0221813	+	0.0278145i
$805$	79.0700	−	52.9852i	2.78685	−	1.86748i
$806$	1.35138	+	1.69458i	0.0476003	+	0.0596889i
$807$	−2.32910	−	2.92060i	−0.0819883	−	0.102810i
$808$	−6.59899	+	3.17791i	−0.232152	+	0.111798i
$809$	−26.0161	+	12.5287i	−0.914678	+	0.440486i	−0.831168	−	0.556021i	$-0.812327\pi$
$809$	−26.0161	+	12.5287i	−0.914678	+	0.440486i	−0.0835097	+	0.996507i	$0.526613\pi$
$810$	20.4402	+	25.6312i	0.718195	+	0.900588i
$811$	−24.6539	−	30.9150i	−0.865715	−	1.08557i	−0.995569	−	0.0940388i	$-0.970022\pi$
$811$	−24.6539	−	30.9150i	−0.865715	−	1.08557i	0.129854	−	0.991533i	$-0.458549\pi$
$812$	−10.8567	−	3.44443i	−0.380995	−	0.120876i
$813$	−3.87783	+	4.86264i	−0.136001	+	0.170540i
$814$	−6.12482			−0.214675
$815$	−83.1316			−2.91197
$816$	0.557095	−	0.698576i	0.0195022	−	0.0244550i
$817$	−2.17481	+	9.52847i	−0.0760870	+	0.333359i
$818$	32.0791	−	15.4485i	1.12162	−	0.540144i
$819$	−3.23381	−	1.02597i	−0.112999	−	0.0358503i
$820$	−41.8875	−	20.1720i	−1.46277	−	0.704435i
$821$	0.990361	−	1.24187i	0.0345639	−	0.0433417i	−0.764249	−	0.644921i	$-0.776890\pi$
$821$	0.990361	−	1.24187i	0.0345639	−	0.0433417i	0.798813	+	0.601579i	$0.205462\pi$
$822$	−3.95804	−	1.90609i	−0.138053	−	0.0664826i
$823$	8.59880	−	37.6738i	0.299735	−	1.31323i	−0.570787	−	0.821098i	$-0.693362\pi$
$823$	8.59880	−	37.6738i	0.299735	−	1.31323i	0.870522	−	0.492129i	$-0.163781\pi$
$824$	5.95262	−	2.86663i	0.207369	−	0.0998637i
$825$	0.847347	+	3.71247i	0.0295008	+	0.129252i
$826$	22.9581	−	15.3843i	0.798813	−	0.535288i
$827$	−11.8718	+	52.0138i	−0.412823	+	1.80870i	0.157786	+	0.987473i	$0.449565\pi$
$827$	−11.8718	+	52.0138i	−0.412823	+	1.80870i	−0.570609	+	0.821222i	$0.693293\pi$
$828$	5.98684	+	26.2301i	0.208057	+	0.911558i
$829$	33.1575	+	41.5782i	1.15161	+	1.44407i	0.875680	+	0.482892i	$0.160414\pi$
$829$	33.1575	+	41.5782i	1.15161	+	1.44407i	0.275928	+	0.961178i	$0.411015\pi$
$830$	−9.78611	−	42.8757i	−0.339681	−	1.48824i
$831$	3.63271	+	1.74942i	0.126017	+	0.0606867i
$832$	0.437737			0.0151758
$833$	−22.6012	+	6.57648i	−0.783085	+	0.227862i
$834$	−2.59917			−0.0900021
$835$	41.6939	+	20.0787i	1.44288	+	0.694853i
$836$	0.994112	+	4.35549i	0.0343821	+	0.150638i
$837$	4.86398	+	6.09924i	0.168124	+	0.210821i
$838$	−7.12188	−	31.2030i	−0.246021	−	1.07789i
$839$	4.90293	−	21.4811i	0.169268	−	0.741611i	−0.817024	−	0.576603i	$-0.804378\pi$
$839$	4.90293	−	21.4811i	0.169268	−	0.741611i	0.986292	−	0.165008i	$-0.0527650\pi$
$840$	−0.985461	−	2.57136i	−0.0340016	−	0.0887203i
$841$	2.32911	+	10.2045i	0.0803141	+	0.351879i
$842$	−13.7898	+	6.64081i	−0.475228	+	0.228858i
$843$	−0.349755	+	1.53238i	−0.0120462	+	0.0527778i
$844$	4.82686	+	2.32449i	0.166147	+	0.0800124i
$845$	−31.2808	+	39.2249i	−1.07609	+	1.34938i
$846$	−2.63640	−	1.26962i	−0.0906413	−	0.0436505i
$847$	−8.59731	−	22.4329i	−0.295407	−	0.770804i
$848$	−7.84847	+	3.77962i	−0.269518	+	0.129793i
$849$	−1.16964	+	5.12451i	−0.0401418	+	0.175873i
$850$	−21.6848	+	27.1918i	−0.743781	+	0.932672i
$851$	−40.5988			−1.39171
$852$	2.21590			0.0759156
$853$	−19.3147	+	24.2199i	−0.661323	+	0.829273i	−0.993487	−	0.113949i	$-0.963650\pi$
$853$	−19.3147	+	24.2199i	−0.661323	+	0.829273i	0.332164	+	0.943222i	$0.392221\pi$
$854$	−19.2338	+	2.74147i	−0.658167	+	0.0938111i
$855$	23.0673	+	28.9255i	0.788885	+	0.989230i
$856$	−3.23889	−	4.06144i	−0.110703	−	0.138817i
$857$	35.2213	−	16.9617i	1.20314	−	0.579400i	0.278568	−	0.960417i	$-0.410140\pi$
$857$	35.2213	−	16.9617i	1.20314	−	0.579400i	0.924568	+	0.381017i	$0.124426\pi$
$858$	0.145201	−	0.0699252i	0.00495709	−	0.00238721i
$859$	−17.8442	−	22.3759i	−0.608835	−	0.763455i	0.377891	−	0.925850i	$-0.376649\pi$
$859$	−17.8442	−	22.3759i	−0.608835	−	0.763455i	−0.986726	+	0.162395i	$0.948078\pi$
$860$	−7.40285	−	9.28288i	−0.252435	−	0.316543i
$861$	8.26077	−	1.17744i	0.281526	−	0.0401270i
$862$	8.11303	−	10.1734i	0.276331	−	0.346508i
$863$	26.1467			0.890045			0.445023	−	0.895519i	$-0.353196\pi$
$863$	26.1467			0.890045			0.445023	+	0.895519i	$0.353196\pi$
$864$	1.57554			0.0536008
$865$	−29.9353	+	37.5377i	−1.01783	+	1.27632i
$866$	−3.78322	+	16.5754i	−0.128559	+	0.563255i
$867$	−1.36281	+	0.656294i	−0.0462834	+	0.0222889i
$868$	4.68815	+	12.2328i	0.159126	+	0.415207i
$869$	5.19970	+	2.50405i	0.176388	+	0.0849439i
$870$	2.79367	−	3.50315i	0.0947143	−	0.118768i
$871$	−1.49724	−	0.721033i	−0.0507320	−	0.0244313i
$872$	−0.459030	+	2.01114i	−0.0155447	+	0.0681059i
$873$	8.14063	−	3.92032i	0.275519	−	0.132683i
$874$	6.58954	+	28.8707i	0.222895	+	0.976565i
$875$	19.8153	+	51.7039i	0.669879	+	1.74791i
$876$	0.523546	−	2.29380i	0.0176890	−	0.0775004i
$877$	7.07789	+	31.0103i	0.239003	+	1.04714i	0.941911	+	0.335861i	$0.109027\pi$
$877$	7.07789	+	31.0103i	0.239003	+	1.04714i	−0.702908	+	0.711281i	$0.748116\pi$
$878$	19.8150	+	24.8472i	0.668723	+	0.838552i
$879$	1.02513	+	4.49140i	0.0345769	+	0.151491i
$880$	−4.88982	−	2.35481i	−0.164836	−	0.0793807i
$881$	49.0137			1.65131			0.825656	−	0.564173i	$-0.190805\pi$
$881$	49.0137			1.65131			0.825656	+	0.564173i	$0.190805\pi$
$882$	−16.7552	−	11.8216i	−0.564178	−	0.398052i
$883$	−38.5307			−1.29666			−0.648330	−	0.761359i	$-0.724532\pi$
$883$	−38.5307			−1.29666			−0.648330	+	0.761359i	$0.724532\pi$
$884$	1.32619	+	0.638659i	0.0446046	+	0.0214804i
$885$	2.41919	+	10.5991i	0.0813200	+	0.356286i
$886$	2.49110	+	3.12374i	0.0836902	+	0.104944i
$887$	10.4367	+	45.7263i	0.350431	+	1.53534i	0.776187	+	0.630502i	$0.217151\pi$
$887$	10.4367	+	45.7263i	0.350431	+	1.53534i	−0.425756	+	0.904838i	$0.639992\pi$
$888$	−0.261369	+	1.14513i	−0.00877096	+	0.0384281i
$889$	−23.4760	+	15.7314i	−0.787358	+	0.527613i
$890$	3.63414	+	15.9222i	0.121816	+	0.533713i
$891$	−10.4482	+	5.03157i	−0.350027	+	0.168564i
$892$	0.504579	−	2.21070i	0.0168945	−	0.0740198i
$893$	−2.90181	−	1.39744i	−0.0971053	−	0.0467634i
$894$	2.44981	−	3.07196i	0.0819339	−	0.102742i
$895$	57.4937	+	27.6875i	1.92180	+	0.925492i
$896$	2.52187	+	0.800098i	0.0842499	+	0.0267294i
$897$	0.962477	−	0.463505i	0.0321362	−	0.0154760i
$898$	−3.37884	+	14.8037i	−0.112754	+	0.494005i
$899$	−13.2904	+	16.6656i	−0.443259	+	0.555829i
$900$	−30.2985			−1.00995
$901$	−29.2926			−0.975877
$902$	10.2537	−	12.8577i	0.341410	−	0.428114i
$903$	2.03122	+	0.644431i	0.0675947	+	0.0214453i
$904$	7.72755	+	9.69003i	0.257014	+	0.322286i
$905$	−14.7570	−	18.5047i	−0.490539	−	0.615117i
$906$	−1.91754	+	0.923438i	−0.0637059	+	0.0306792i
$907$	−6.53032	+	3.14484i	−0.216836	+	0.104423i	−0.539149	−	0.842211i	$-0.681254\pi$
$907$	−6.53032	+	3.14484i	−0.216836	+	0.104423i	0.322313	+	0.946633i	$0.395540\pi$
$908$	−15.0408	−	18.8606i	−0.499147	−	0.625911i
$909$	−13.3775	−	16.7749i	−0.443704	−	0.556387i
$910$	3.76857	−	2.52534i	0.124927	−	0.0837141i
$911$	20.8044	−	26.0878i	0.689279	−	0.864328i	−0.306893	−	0.951744i	$-0.599289\pi$
$911$	20.8044	−	26.0878i	0.689279	−	0.864328i	0.996172	+	0.0874156i	$0.0278608\pi$
$912$	0.856748			0.0283698
$913$	15.5566			0.514848
$914$	−11.7219	+	14.6989i	−0.387728	+	0.486195i
$915$	1.70069	−	7.45122i	0.0562232	−	0.246330i
$916$	4.70355	−	2.26511i	0.155410	−	0.0748413i
$917$	−8.82555	+	15.0071i	−0.291445	+	0.495577i
$918$	4.77332	+	2.29871i	0.157543	+	0.0758687i
$919$	25.8146	−	32.3705i	0.851546	−	1.06781i	−0.145374	−	0.989377i	$-0.546438\pi$
$919$	25.8146	−	32.3705i	0.851546	−	1.06781i	0.996920	−	0.0784283i	$-0.0249902\pi$
$920$	−32.4125	−	15.6091i	−1.06861	−	0.514615i
$921$	1.62216	−	7.10716i	0.0534521	−	0.234189i
$922$	3.52895	−	1.69945i	0.116220	−	0.0559685i
$923$	0.812302	+	3.55893i	0.0267372	+	0.117143i
$924$	0.964337	−	0.137451i	0.0317243	−	0.00452179i
$925$	10.1737	−	44.5739i	0.334509	−	1.46558i
$926$	4.61615	+	20.2247i	0.151696	+	0.664624i
$927$	12.0672	+	15.1317i	0.396338	+	0.496992i
$928$	0.957954	+	4.19707i	0.0314464	+	0.137776i
$929$	−47.8398	−	23.0384i	−1.56957	−	0.755866i	−0.571662	−	0.820489i	$-0.693701\pi$
$929$	−47.8398	−	23.0384i	−1.56957	−	0.755866i	−0.997910	+	0.0646234i	$0.979415\pi$
$930$	−5.15355			−0.168991
$931$	−18.4420	−	13.0116i	−0.604411	−	0.426439i
$932$	17.9029			0.586429
$933$	3.72203	+	1.79244i	0.121854	+	0.0586818i
$934$	4.62735	+	20.2737i	0.151411	+	0.663376i
$935$	−11.3788	−	14.2685i	−0.372125	−	0.466630i
$936$	0.285340	+	1.25016i	0.00932662	+	0.0408626i
$937$	2.13846	−	9.36920i	0.0698604	−	0.306078i	−0.927911	−	0.372801i	$-0.878397\pi$
$937$	2.13846	−	9.36920i	0.0698604	−	0.306078i	0.997772	+	0.0667230i	$0.0212544\pi$
$938$	−7.30793	−	6.89064i	−0.238612	−	0.224988i
$939$	−0.563481	−	2.46877i	−0.0183885	−	0.0805653i
$940$	3.52523	−	1.69766i	0.114980	−	0.0553716i
$941$	1.37388	−	6.01936i	0.0447872	−	0.196226i	−0.947585	−	0.319504i	$-0.896484\pi$
$941$	1.37388	−	6.01936i	0.0447872	−	0.196226i	0.992372	+	0.123279i	$0.0393408\pi$
$942$	−0.985601	−	0.474640i	−0.0321126	−	0.0154646i
$943$	67.9672	−	85.2281i	2.21332	−	2.77541i
$944$	−9.41101	−	4.53210i	−0.306302	−	0.147507i
$945$	13.5641	−	9.08937i	0.441240	−	0.295677i
$946$	3.78403	−	1.82229i	0.123029	−	0.0592478i
$947$	−4.99282	+	21.8750i	−0.162245	+	0.710842i	0.826710	+	0.562628i	$0.190210\pi$
$947$	−4.99282	+	21.8750i	−0.162245	+	0.710842i	−0.988955	+	0.148214i	$0.952648\pi$
$948$	0.690061	−	0.865309i	0.0224121	−	0.0281039i
$949$	3.87596			0.125819
$950$	−33.3487			−1.08197
$951$	−0.678239	+	0.850485i	−0.0219934	+	0.0275789i
$952$	6.47304	+	6.10343i	0.209792	+	0.197813i
$953$	−17.5958	−	22.0644i	−0.569983	−	0.714736i	0.410385	−	0.911912i	$-0.365394\pi$
$953$	−17.5958	−	22.0644i	−0.569983	−	0.714736i	−0.980368	+	0.197176i	$0.936823\pi$
$954$	−15.9105	−	19.9511i	−0.515120	−	0.645940i
$955$	−45.9718	+	22.1389i	−1.48761	+	0.716397i
$956$	−3.25796	+	1.56895i	−0.105370	+	0.0507435i
$957$	0.988212	+	1.23918i	0.0319444	+	0.0400570i
$958$	−10.3943	−	13.0341i	−0.335825	−	0.421112i
$959$	22.1742	−	37.7053i	0.716043	−	1.21757i
$960$	−0.648935	+	0.813739i	−0.0209443	+	0.0262633i
$961$	−6.48295			−0.209127
$962$	−1.93499			−0.0623865
$963$	9.48800	−	11.8976i	0.305746	−	0.383394i
$964$	−0.308354	+	1.35099i	−0.00993141	+	0.0435124i
$965$	−35.9083	+	17.2925i	−1.15593	+	0.556666i
$966$	6.39218	−	0.911102i	0.205665	−	0.0293142i
$967$	22.6444	+	10.9049i	0.728194	+	0.350680i	0.760973	−	0.648783i	$-0.224722\pi$
$967$	22.6444	+	10.9049i	0.728194	+	0.350680i	−0.0327799	+	0.999463i	$0.510436\pi$
$968$	−5.66141	+	7.09918i	−0.181964	+	0.228176i
$969$	2.59564	+	1.25000i	0.0833841	+	0.0401557i
$970$	−2.68841	+	11.7787i	−0.0863196	+	0.378191i
$971$	53.2236	−	25.6312i	1.70803	−	0.822543i	0.715772	−	0.698334i	$-0.246075\pi$
$971$	53.2236	−	25.6312i	1.70803	−	0.822543i	0.992256	−	0.124208i	$-0.0396391\pi$
$972$	1.54664	+	6.77627i	0.0496085	+	0.217349i
$973$	2.14092	−	25.7914i	0.0686348	−	0.826835i
$974$	−4.02894	+	17.6519i	−0.129095	+	0.565604i
$975$	0.267698	+	1.17286i	0.00857321	+	0.0375617i
$976$	4.57839	+	5.74111i	0.146551	+	0.183769i
$977$	5.11198	+	22.3971i	0.163547	+	0.716546i	0.988485	+	0.151322i	$0.0483530\pi$
$977$	5.11198	+	22.3971i	0.163547	+	0.716546i	−0.824938	+	0.565224i	$0.808790\pi$
$978$	−5.08089	−	2.44683i	−0.162469	−	0.0782409i
$979$	−5.77704			−0.184635
$980$	26.3271	−	7.66065i	0.840989	−	0.244710i
$981$	−6.04294			−0.192936
$982$	27.3609	+	13.1763i	0.873122	+	0.420473i
$983$	−4.32769	−	18.9608i	−0.138032	−	0.604757i	−0.995866	−	0.0908309i	$-0.971048\pi$
$983$	−4.32769	−	18.9608i	−0.138032	−	0.604757i	0.857834	−	0.513926i	$-0.171809\pi$
$984$	−1.96638	−	2.46577i	−0.0626860	−	0.0786057i
$985$	−15.3382	−	67.2010i	−0.488715	−	2.14120i
$986$	−3.22127	+	14.1133i	−0.102586	+	0.449459i
$987$	−0.355990	+	0.605329i	−0.0113313	+	0.0192678i
$988$	0.314065	+	1.37601i	0.00999174	+	0.0437767i
$989$	25.0827	−	12.0792i	0.797583	−	0.384096i
$990$	3.53779	−	15.5001i	0.112438	−	0.492624i
$991$	4.25372	+	2.04848i	0.135124	+	0.0650723i	0.500224	−	0.865896i	$-0.333251\pi$
$991$	4.25372	+	2.04848i	0.135124	+	0.0650723i	−0.365100	+	0.930968i	$0.618965\pi$
$992$	3.08719	−	3.87121i	0.0980184	−	0.122911i
$993$	−7.18651	−	3.46084i	−0.228057	−	0.109826i
$994$	−1.82523	+	21.9883i	−0.0578926	+	0.697425i
$995$	75.7439	−	36.4763i	2.40124	−	1.15638i
$996$	0.663856	−	2.90854i	0.0210351	−	0.0921607i
$997$	−17.1309	+	21.4814i	−0.542540	+	0.680324i	−0.975223	−	0.221222i	$-0.928995\pi$
$997$	−17.1309	+	21.4814i	−0.542540	+	0.680324i	0.432683	+	0.901546i	$0.357567\pi$
$998$	−31.3113			−0.991142
$999$	−6.96455			−0.220349

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	98.2.e.a.29.2	✓	18
3.2	odd	2		882.2.u.j.127.3		18
4.3	odd	2		784.2.u.c.225.2		18
7.2	even	3		686.2.g.i.459.2		36
7.3	odd	6		686.2.g.j.373.2		36
7.4	even	3		686.2.g.i.373.2		36
7.5	odd	6		686.2.g.j.459.2		36
7.6	odd	2		686.2.e.a.197.2		18
49.4	even	21		686.2.g.i.275.2		36
49.13	odd	14		4802.2.a.e.1.6		9
49.22	even	7	inner	98.2.e.a.71.2	yes	18
49.23	even	21		686.2.g.i.263.2		36
49.26	odd	42		686.2.g.j.263.2		36
49.27	odd	14		686.2.e.a.491.2		18
49.36	even	7		4802.2.a.h.1.4		9
49.45	odd	42		686.2.g.j.275.2		36
147.71	odd	14		882.2.u.j.757.3		18
196.71	odd	14		784.2.u.c.561.2		18

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
98.2.e.a.29.2	✓	18	1.1	even	1	trivial
98.2.e.a.71.2	yes	18	49.22	even	7	inner
686.2.e.a.197.2		18	7.6	odd	2
686.2.e.a.491.2		18	49.27	odd	14
686.2.g.i.263.2		36	49.23	even	21
686.2.g.i.275.2		36	49.4	even	21
686.2.g.i.373.2		36	7.4	even	3
686.2.g.i.459.2		36	7.2	even	3
686.2.g.j.263.2		36	49.26	odd	42
686.2.g.j.275.2		36	49.45	odd	42
686.2.g.j.373.2		36	7.3	odd	6
686.2.g.j.459.2		36	7.5	odd	6
784.2.u.c.225.2		18	4.3	odd	2
784.2.u.c.561.2		18	196.71	odd	14
882.2.u.j.127.3		18	3.2	odd	2
882.2.u.j.757.3		18	147.71	odd	14
4802.2.a.e.1.6		9	49.13	odd	14
4802.2.a.h.1.4		9	49.36	even	7

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:	\( N \)	\(=\)	\( 98 = 2 \cdot 7^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	98.e (of order \(7\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.900969 - 0.433884i) q^{2} +(0.0591274 + 0.259054i) q^{3} +(0.623490 + 0.781831i) q^{4} +(-0.871615 - 3.81880i) q^{5} +(0.0591274 - 0.259054i) q^{6} +(2.52187 + 0.800098i) q^{7} +(-0.222521 - 0.974928i) q^{8} +(2.63929 - 1.27102i) q^{9} +O(q^{10})\)	\(q+(-0.900969 - 0.433884i) q^{2} +(0.0591274 + 0.259054i) q^{3} +(0.623490 + 0.781831i) q^{4} +(-0.871615 - 3.81880i) q^{5} +(0.0591274 - 0.259054i) q^{6} +(2.52187 + 0.800098i) q^{7} +(-0.222521 - 0.974928i) q^{8} +(2.63929 - 1.27102i) q^{9} +(-0.871615 + 3.81880i) q^{10} +(-1.24836 - 0.601177i) q^{11} +(-0.165671 + 0.207745i) q^{12} +(-0.394388 - 0.189927i) q^{13} +(-1.92498 - 1.81506i) q^{14} +(0.937739 - 0.451591i) q^{15} +(-0.222521 + 0.974928i) q^{16} +(-2.09658 + 2.62903i) q^{17} -2.92939 q^{18} -3.22430 q^{19} +(2.44221 - 3.06244i) q^{20} +(-0.0581569 + 0.700609i) q^{21} +(0.863890 + 1.08328i) q^{22} +(5.72636 + 7.18063i) q^{23} +(0.239402 - 0.115290i) q^{24} +(-9.31865 + 4.48763i) q^{25} +(0.272925 + 0.342237i) q^{26} +(0.982331 + 1.23180i) q^{27} +(0.946820 + 2.47053i) q^{28} +(-2.68413 + 3.36579i) q^{29} -1.04081 q^{30} +4.95147 q^{31} +(0.623490 - 0.781831i) q^{32} +(0.0819253 - 0.358938i) q^{33} +(3.02965 - 1.45900i) q^{34} +(0.857309 - 10.3279i) q^{35} +(2.63929 + 1.27102i) q^{36} +(-2.75609 + 3.45603i) q^{37} +(2.90499 + 1.39897i) q^{38} +(0.0258823 - 0.113398i) q^{39} +(-3.52910 + 1.69952i) q^{40} +(-2.64114 - 11.5716i) q^{41} +(0.356381 - 0.605994i) q^{42} +(0.674507 - 2.95521i) q^{43} +(-0.308319 - 1.35083i) q^{44} +(-7.15420 - 8.97109i) q^{45} +(-2.04371 - 8.95409i) q^{46} +(0.899981 + 0.433408i) q^{47} -0.265716 q^{48} +(5.71969 + 4.03549i) q^{49} +10.3429 q^{50} +(-0.805026 - 0.387680i) q^{51} +(-0.0974057 - 0.426762i) q^{52} +(5.43131 + 6.81065i) q^{53} +(-0.350590 - 1.53603i) q^{54} +(-1.20769 + 5.29122i) q^{55} +(0.218869 - 2.63668i) q^{56} +(-0.190644 - 0.835268i) q^{57} +(3.87868 - 1.86787i) q^{58} +(-2.32433 + 10.1835i) q^{59} +(0.937739 + 0.451591i) q^{60} +(4.57839 - 5.74111i) q^{61} +(-4.46112 - 2.14836i) q^{62} +(7.67290 - 1.09365i) q^{63} +(-0.900969 + 0.433884i) q^{64} +(-0.381539 + 1.67163i) q^{65} +(-0.229550 + 0.287846i) q^{66} +3.79637 q^{67} -3.36265 q^{68} +(-1.52159 + 1.90801i) q^{69} +(-5.25352 + 8.93314i) q^{70} +(-5.19951 - 6.51998i) q^{71} +(-1.82645 - 2.29029i) q^{72} +(-7.97766 + 3.84184i) q^{73} +(3.98267 - 1.91795i) q^{74} +(-1.71353 - 2.14869i) q^{75} +(-2.01032 - 2.52086i) q^{76} +(-2.66720 - 2.51490i) q^{77} +(-0.0725205 + 0.0909379i) q^{78} -4.16524 q^{79} +3.91700 q^{80} +(5.21832 - 6.54357i) q^{81} +(-2.64114 + 11.5716i) q^{82} +(-10.1157 + 4.87145i) q^{83} +(-0.584019 + 0.391354i) q^{84} +(11.8671 + 5.71491i) q^{85} +(-1.88993 + 2.36989i) q^{86} +(-1.03063 - 0.496324i) q^{87} +(-0.308319 + 1.35083i) q^{88} +(3.75652 - 1.80905i) q^{89} +(2.55331 + 11.1868i) q^{90} +(-0.842635 - 0.794521i) q^{91} +(-2.04371 + 8.95409i) q^{92} +(0.292768 + 1.28270i) q^{93} +(-0.622806 - 0.780974i) q^{94} +(2.81035 + 12.3129i) q^{95} +(0.239402 + 0.115290i) q^{96} +3.08440 q^{97} +(-3.40232 - 6.11753i) q^{98} -4.05889 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 18 q - 3 q^{2} + 3 q^{3} - 3 q^{4} - 6 q^{5} + 3 q^{6} - 7 q^{7} - 3 q^{8} + 10 q^{9}+O(q^{10}) \) 18 * q - 3 * q^2 + 3 * q^3 - 3 * q^4 - 6 * q^5 + 3 * q^6 - 7 * q^7 - 3 * q^8 + 10 * q^9	\( 18 q - 3 q^{2} + 3 q^{3} - 3 q^{4} - 6 q^{5} + 3 q^{6} - 7 q^{7} - 3 q^{8} + 10 q^{9} - 6 q^{10} - q^{11} - 4 q^{12} - 7 q^{14} - 9 q^{15} - 3 q^{16} - 11 q^{17} + 24 q^{18} + 36 q^{19} + q^{20} - 21 q^{21} - q^{22} + 5 q^{23} - 4 q^{24} - 23 q^{25} - 7 q^{26} - 12 q^{27} - 13 q^{29} - 16 q^{30} - 4 q^{31} - 3 q^{32} - 34 q^{33} - 11 q^{34} - 7 q^{35} + 10 q^{36} + 33 q^{37} + 15 q^{38} + 21 q^{39} + q^{40} - 28 q^{41} + 35 q^{42} - 20 q^{43} + 6 q^{44} + 20 q^{45} + 5 q^{46} + 36 q^{47} + 10 q^{48} + 49 q^{49} + 26 q^{50} - 20 q^{51} + 48 q^{53} + 2 q^{54} + 47 q^{55} + 7 q^{56} - 37 q^{57} + 36 q^{58} - 25 q^{59} - 9 q^{60} + q^{61} - 11 q^{62} - 35 q^{63} - 3 q^{64} - 56 q^{65} - 27 q^{66} + 34 q^{67} + 38 q^{68} + 23 q^{69} - 14 q^{70} - 6 q^{71} - 11 q^{72} - 39 q^{73} - 23 q^{74} - 47 q^{75} - 20 q^{76} - 28 q^{77} - 14 q^{78} - 2 q^{79} + 8 q^{80} - 34 q^{81} - 28 q^{82} + 35 q^{83} - 7 q^{84} + 33 q^{85} + 36 q^{86} + 48 q^{87} + 6 q^{88} - 6 q^{89} - 57 q^{90} - 35 q^{91} + 5 q^{92} + 36 q^{93} - 13 q^{94} - 17 q^{95} - 4 q^{96} + 56 q^{97} + 28 q^{98} + 106 q^{99}+O(q^{100}) \) 18 * q - 3 * q^2 + 3 * q^3 - 3 * q^4 - 6 * q^5 + 3 * q^6 - 7 * q^7 - 3 * q^8 + 10 * q^9 - 6 * q^10 - q^11 - 4 * q^12 - 7 * q^14 - 9 * q^15 - 3 * q^16 - 11 * q^17 + 24 * q^18 + 36 * q^19 + q^20 - 21 * q^21 - q^22 + 5 * q^23 - 4 * q^24 - 23 * q^25 - 7 * q^26 - 12 * q^27 - 13 * q^29 - 16 * q^30 - 4 * q^31 - 3 * q^32 - 34 * q^33 - 11 * q^34 - 7 * q^35 + 10 * q^36 + 33 * q^37 + 15 * q^38 + 21 * q^39 + q^40 - 28 * q^41 + 35 * q^42 - 20 * q^43 + 6 * q^44 + 20 * q^45 + 5 * q^46 + 36 * q^47 + 10 * q^48 + 49 * q^49 + 26 * q^50 - 20 * q^51 + 48 * q^53 + 2 * q^54 + 47 * q^55 + 7 * q^56 - 37 * q^57 + 36 * q^58 - 25 * q^59 - 9 * q^60 + q^61 - 11 * q^62 - 35 * q^63 - 3 * q^64 - 56 * q^65 - 27 * q^66 + 34 * q^67 + 38 * q^68 + 23 * q^69 - 14 * q^70 - 6 * q^71 - 11 * q^72 - 39 * q^73 - 23 * q^74 - 47 * q^75 - 20 * q^76 - 28 * q^77 - 14 * q^78 - 2 * q^79 + 8 * q^80 - 34 * q^81 - 28 * q^82 + 35 * q^83 - 7 * q^84 + 33 * q^85 + 36 * q^86 + 48 * q^87 + 6 * q^88 - 6 * q^89 - 57 * q^90 - 35 * q^91 + 5 * q^92 + 36 * q^93 - 13 * q^94 - 17 * q^95 - 4 * q^96 + 56 * q^97 + 28 * q^98 + 106 * q^99

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