LMFDB - Embedded newform 504.2.bf.b.115.19

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [504,2,Mod(115,504)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(504, base_ring=CyclotomicField(6))

chi = DirichletCharacter(H, H._module([3, 3, 4, 1]))

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

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

chi := DirichletCharacter("504.115");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 504 = 2^{3} \cdot 3^{2} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	504.bf (of order $6$, degree $2$, 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:	$4.02446026187$
Analytic rank:	$0$
Dimension:	$180$
Relative dimension:	$90$ over $\Q(\zeta_{6})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			115.19
Character	$\chi$	$=$	504.115
Dual form			504.2.bf.b.355.20

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.14308 - 0.832691i) q^{2} +(-1.17641 + 1.27125i) q^{3} +(0.613252 + 1.90366i) q^{4} +(1.57644 - 2.73047i) q^{5} +(2.40328 - 0.473549i) q^{6} +(1.25267 + 2.33041i) q^{7} +(0.884165 - 2.68668i) q^{8} +(-0.232133 - 2.99101i) q^{9} +O(q^{10})$	\(q+(-1.14308 - 0.832691i) q^{2} +(-1.17641 + 1.27125i) q^{3} +(0.613252 + 1.90366i) q^{4} +(1.57644 - 2.73047i) q^{5} +(2.40328 - 0.473549i) q^{6} +(1.25267 + 2.33041i) q^{7} +(0.884165 - 2.68668i) q^{8} +(-0.232133 - 2.99101i) q^{9} +(-4.07562 + 1.80845i) q^{10} +(-0.814620 - 1.41096i) q^{11} +(-3.14145 - 1.45989i) q^{12} +(-0.0400258 - 0.0693267i) q^{13} +(0.508608 - 3.70693i) q^{14} +(1.61656 + 5.21618i) q^{15} +(-3.24784 + 2.33485i) q^{16} +(-1.13969 - 0.658003i) q^{17} +(-2.22524 + 3.61225i) q^{18} +(3.49599 - 2.01841i) q^{19} +(6.16463 + 1.32653i) q^{20} +(-4.43618 - 1.14905i) q^{21} +(-0.243722 + 2.29117i) q^{22} +(3.67953 + 2.12438i) q^{23} +(2.37529 + 4.28462i) q^{24} +(-2.47030 - 4.27868i) q^{25} +(-0.0119751 + 0.112575i) q^{26} +(4.07539 + 3.22354i) q^{27} +(-3.66810 + 3.81379i) q^{28} +(-3.48772 - 2.01364i) q^{29} +(2.49560 - 7.30859i) q^{30} -3.97549 q^{31} +(5.65674 + 0.0355381i) q^{32} +(2.75200 + 0.624284i) q^{33} +(0.754846 + 1.70116i) q^{34} +(8.33787 + 0.253358i) q^{35} +(5.55150 - 2.27614i) q^{36} +(9.45599 - 5.45942i) q^{37} +(-5.67691 - 0.603880i) q^{38} +(0.135218 + 0.0306738i) q^{39} +(-5.94206 - 6.64956i) q^{40} +(10.5992 - 6.11948i) q^{41} +(4.11409 + 5.00742i) q^{42} +(5.79819 - 10.0428i) q^{43} +(2.18643 - 2.41603i) q^{44} +(-8.53278 - 4.08130i) q^{45} +(-2.43704 - 5.49225i) q^{46} -0.848906 q^{47} +(0.852621 - 6.87554i) q^{48} +(-3.86162 + 5.83848i) q^{49} +(-0.739077 + 6.94786i) q^{50} +(2.17723 - 0.674752i) q^{51} +(0.107429 - 0.118710i) q^{52} +(4.62915 + 2.67264i) q^{53} +(-1.97427 - 7.07830i) q^{54} -5.13678 q^{55} +(7.36864 - 1.30507i) q^{56} +(-1.54681 + 6.81875i) q^{57} +(2.31000 + 5.20593i) q^{58} -4.33850i q^{59} +(-8.93847 + 6.27622i) q^{60} -5.27660 q^{61} +(4.54429 + 3.31035i) q^{62} +(6.67948 - 4.28772i) q^{63} +(-6.43650 - 4.75094i) q^{64} -0.252392 q^{65} +(-2.62592 - 3.00517i) q^{66} +6.21333 q^{67} +(0.553694 - 2.57311i) q^{68} +(-7.02924 + 2.17846i) q^{69} +(-9.31986 - 7.23247i) q^{70} +4.99349i q^{71} +(-8.24112 - 2.02088i) q^{72} +(7.72355 + 4.45919i) q^{73} +(-15.3549 - 1.63338i) q^{74} +(8.34534 + 1.89312i) q^{75} +(5.98630 + 5.41739i) q^{76} +(2.26767 - 3.66587i) q^{77} +(-0.129023 - 0.147657i) q^{78} +14.5396i q^{79} +(1.25521 + 12.5489i) q^{80} +(-8.89223 + 1.38862i) q^{81} +(-17.2114 - 1.83086i) q^{82} +(-2.34461 - 1.35366i) q^{83} +(-0.533087 - 9.14963i) q^{84} +(-3.59331 + 2.07460i) q^{85} +(-14.9903 + 6.65155i) q^{86} +(6.66280 - 2.06489i) q^{87} +(-4.51106 + 0.941098i) q^{88} +(-5.04396 + 2.91213i) q^{89} +(6.35517 + 11.7704i) q^{90} +(0.111420 - 0.180120i) q^{91} +(-1.78762 + 8.30736i) q^{92} +(4.67679 - 5.05382i) q^{93} +(0.970365 + 0.706876i) q^{94} -12.7276i q^{95} +(-6.69981 + 7.14930i) q^{96} +(-15.1154 - 8.72685i) q^{97} +(9.27578 - 3.45831i) q^{98} +(-4.03110 + 2.76406i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 180 q - 6 q^{2} - 6 q^{3} - 2 q^{4} - 6 q^{6} + 10 q^{9}+O(q^{10}) $ 180 * q - 6 * q^2 - 6 * q^3 - 2 * q^4 - 6 * q^6 + 10 * q^9	$ 180 q - 6 q^{2} - 6 q^{3} - 2 q^{4} - 6 q^{6} + 10 q^{9} - 8 q^{11} + 12 q^{12} + 10 q^{14} + 14 q^{16} - 18 q^{17} + 8 q^{18} - 6 q^{19} + 36 q^{20} - 16 q^{22} - 12 q^{24} - 78 q^{25} - 6 q^{26} + 16 q^{28} + q^{30} - 26 q^{32} - 36 q^{33} - 12 q^{34} - 12 q^{35} + 2 q^{36} - 27 q^{38} + 24 q^{40} - 42 q^{41} + 22 q^{42} + 14 q^{43} - 21 q^{44} - 12 q^{46} - 9 q^{48} + 2 q^{49} + 15 q^{50} + 9 q^{52} - 51 q^{54} + 14 q^{56} - 26 q^{57} + 19 q^{58} + 37 q^{60} - 8 q^{64} + 24 q^{65} + 6 q^{66} + 28 q^{67} + 12 q^{68} + 27 q^{70} - 28 q^{72} + 18 q^{73} + 49 q^{74} - 18 q^{75} - 12 q^{76} - 33 q^{78} - 63 q^{80} - 22 q^{81} - 54 q^{82} + 6 q^{83} + 31 q^{84} - 13 q^{86} + 29 q^{88} - 66 q^{89} - 51 q^{90} + 2 q^{91} - 60 q^{92} - 45 q^{96} - 6 q^{97} + 31 q^{98} + 4 q^{99}+O(q^{100}) $ 180 * q - 6 * q^2 - 6 * q^3 - 2 * q^4 - 6 * q^6 + 10 * q^9 - 8 * q^11 + 12 * q^12 + 10 * q^14 + 14 * q^16 - 18 * q^17 + 8 * q^18 - 6 * q^19 + 36 * q^20 - 16 * q^22 - 12 * q^24 - 78 * q^25 - 6 * q^26 + 16 * q^28 + q^30 - 26 * q^32 - 36 * q^33 - 12 * q^34 - 12 * q^35 + 2 * q^36 - 27 * q^38 + 24 * q^40 - 42 * q^41 + 22 * q^42 + 14 * q^43 - 21 * q^44 - 12 * q^46 - 9 * q^48 + 2 * q^49 + 15 * q^50 + 9 * q^52 - 51 * q^54 + 14 * q^56 - 26 * q^57 + 19 * q^58 + 37 * q^60 - 8 * q^64 + 24 * q^65 + 6 * q^66 + 28 * q^67 + 12 * q^68 + 27 * q^70 - 28 * q^72 + 18 * q^73 + 49 * q^74 - 18 * q^75 - 12 * q^76 - 33 * q^78 - 63 * q^80 - 22 * q^81 - 54 * q^82 + 6 * q^83 + 31 * q^84 - 13 * q^86 + 29 * q^88 - 66 * q^89 - 51 * q^90 + 2 * q^91 - 60 * q^92 - 45 * q^96 - 6 * q^97 + 31 * q^98 + 4 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/504\mathbb{Z}\right)^\times$.

$n$	$73$	$127$	$253$	$281$
$\chi(n)$	$e\left(\frac{1}{6}\right)$	$-1$	$-1$	$e\left(\frac{2}{3}\right)$

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 $

$2$	−1.14308	−	0.832691i	−0.808278	−	0.588801i
$2$	−1.14308	−	0.832691i	−0.808278	−	0.588801i
$3$	−1.17641	+	1.27125i	−0.679199	+	0.733954i
$3$	−1.17641	+	1.27125i	−0.679199	+	0.733954i
$4$	0.613252	+	1.90366i	0.306626	+	0.951830i
$5$	1.57644	−	2.73047i	0.705003	−	1.22110i	−0.261687	−	0.965153i	$-0.584279\pi$
$5$	1.57644	−	2.73047i	0.705003	−	1.22110i	0.966690	−	0.255949i	$-0.0823879\pi$
$6$	2.40328	−	0.473549i	0.981135	−	0.193326i
$7$	1.25267	+	2.33041i	0.473466	+	0.880812i
$7$	1.25267	+	2.33041i	0.473466	+	0.880812i
$8$	0.884165	−	2.68668i	0.312600	−	0.949885i
$9$	−0.232133	−	2.99101i	−0.0773775	−	0.997002i
$10$	−4.07562	+	1.80845i	−1.28883	+	0.571883i
$11$	−0.814620	−	1.41096i	−0.245617	−	0.425421i	0.716688	−	0.697394i	$-0.245657\pi$
$11$	−0.814620	−	1.41096i	−0.245617	−	0.425421i	−0.962305	+	0.271973i	$0.912324\pi$
$12$	−3.14145	−	1.45989i	−0.906860	−	0.421433i
$13$	−0.0400258	−	0.0693267i	−0.0111012	−	0.0192278i	0.860421	−	0.509583i	$-0.170200\pi$
$13$	−0.0400258	−	0.0693267i	−0.0111012	−	0.0192278i	−0.871523	+	0.490355i	$0.836867\pi$
$14$	0.508608	−	3.70693i	0.135931	−	0.990718i
$15$	1.61656	+	5.21618i	0.417395	+	1.34681i
$16$	−3.24784	+	2.33485i	−0.811961	+	0.583712i
$17$	−1.13969	−	0.658003i	−0.276416	−	0.159589i	0.355384	−	0.934721i	$-0.384350\pi$
$17$	−1.13969	−	0.658003i	−0.276416	−	0.159589i	−0.631800	+	0.775131i	$0.717684\pi$
$18$	−2.22524	+	3.61225i	−0.524493	+	0.851414i
$19$	3.49599	−	2.01841i	0.802036	−	0.463056i	−0.0421465	−	0.999111i	$-0.513420\pi$
$19$	3.49599	−	2.01841i	0.802036	−	0.463056i	0.844183	+	0.536056i	$0.180086\pi$
$20$	6.16463	+	1.32653i	1.37845	+	0.296622i
$21$	−4.43618	−	1.14905i	−0.968053	−	0.250744i
$22$	−0.243722	+	2.29117i	−0.0519617	+	0.488478i
$23$	3.67953	+	2.12438i	0.767236	+	0.442964i	0.831888	−	0.554944i	$-0.187260\pi$
$23$	3.67953	+	2.12438i	0.767236	+	0.442964i	−0.0646518	+	0.997908i	$0.520594\pi$
$24$	2.37529	+	4.28462i	0.484855	+	0.874595i
$25$	−2.47030	−	4.27868i	−0.494060	−	0.855737i
$26$	−0.0119751	+	0.112575i	−0.00234852	+	0.0220778i
$27$	4.07539	+	3.22354i	0.784308	+	0.620371i
$28$	−3.66810	+	3.81379i	−0.693206	+	0.720739i
$29$	−3.48772	−	2.01364i	−0.647653	−	0.373923i	0.139903	−	0.990165i	$-0.455321\pi$
$29$	−3.48772	−	2.01364i	−0.647653	−	0.373923i	−0.787556	+	0.616242i	$0.788654\pi$
$30$	2.49560	−	7.30859i	0.455633	−	1.33436i
$31$	−3.97549			−0.714019			−0.357009	−	0.934101i	$-0.616204\pi$
$31$	−3.97549			−0.714019			−0.357009	+	0.934101i	$0.616204\pi$
$32$	5.65674	+	0.0355381i	0.999980	+	0.00628230i
$33$	2.75200	+	0.624284i	0.479062	+	0.108674i
$34$	0.754846	+	1.70116i	0.129455	+	0.291747i
$35$	8.33787	+	0.253358i	1.40936	+	0.0428252i
$36$	5.55150	−	2.27614i	0.925250	−	0.379357i
$37$	9.45599	−	5.45942i	1.55456	−	0.897523i	0.556794	−	0.830650i	$-0.312031\pi$
$37$	9.45599	−	5.45942i	1.55456	−	0.897523i	0.997762	−	0.0668728i	$-0.0213022\pi$
$38$	−5.67691	−	0.603880i	−0.920916	−	0.0979622i
$39$	0.135218	+	0.0306738i	0.0216522	+	0.00491174i
$40$	−5.94206	−	6.64956i	−0.939522	−	1.05139i
$41$	10.5992	−	6.11948i	1.65532	−	0.955701i	0.680493	−	0.732755i	$-0.261766\pi$
$41$	10.5992	−	6.11948i	1.65532	−	0.955701i	0.974831	−	0.222947i	$-0.0715676\pi$
$42$	4.11409	+	5.00742i	0.634818	+	0.772662i
$43$	5.79819	−	10.0428i	0.884215	−	1.53151i	0.0376048	−	0.999293i	$-0.488027\pi$
$43$	5.79819	−	10.0428i	0.884215	−	1.53151i	0.846610	−	0.532213i	$-0.178639\pi$
$44$	2.18643	−	2.41603i	0.329616	−	0.364231i
$45$	−8.53278	−	4.08130i	−1.27199	−	0.608404i
$46$	−2.43704	−	5.49225i	−0.359322	−	0.809787i
$47$	−0.848906			−0.123826			−0.0619128	−	0.998082i	$-0.519720\pi$
$47$	−0.848906			−0.123826			−0.0619128	+	0.998082i	$0.519720\pi$
$48$	0.852621	−	6.87554i	0.123065	−	0.992399i
$49$	−3.86162	+	5.83848i	−0.551660	+	0.834069i
$50$	−0.739077	+	6.94786i	−0.104521	+	0.982576i
$51$	2.17723	−	0.674752i	0.304873	−	0.0944842i
$52$	0.107429	−	0.118710i	0.0148977	−	0.0164622i
$53$	4.62915	+	2.67264i	0.635862	+	0.367115i	0.783019	−	0.621998i	$-0.213679\pi$
$53$	4.62915	+	2.67264i	0.635862	+	0.367115i	−0.147157	+	0.989113i	$0.547012\pi$
$54$	−1.97427	−	7.07830i	−0.268664	−	0.963234i
$55$	−5.13678			−0.692643
$56$	7.36864	−	1.30507i	0.984675	−	0.174397i
$57$	−1.54681	+	6.81875i	−0.204880	+	0.903165i
$58$	2.31000	+	5.20593i	0.303317	+	0.683572i
$59$		−	4.33850i		−	0.564825i	−0.959293	−	0.282412i	$-0.908865\pi$
$59$		−	4.33850i		−	0.564825i	0.959293	−	0.282412i	$-0.0911347\pi$
$60$	−8.93847	+	6.27622i	−1.15395	+	0.810257i
$61$	−5.27660			−0.675600			−0.337800	−	0.941218i	$-0.609683\pi$
$61$	−5.27660			−0.675600			−0.337800	+	0.941218i	$0.609683\pi$
$62$	4.54429	+	3.31035i	0.577125	+	0.420415i
$63$	6.67948	−	4.28772i	0.841536	−	0.540202i
$64$	−6.43650	−	4.75094i	−0.804563	−	0.593868i
$65$	−0.252392			−0.0313054
$66$	−2.62592	−	3.00517i	−0.323228	−	0.369911i
$67$	6.21333			0.759079			0.379539	−	0.925176i	$-0.376082\pi$
$67$	6.21333			0.759079			0.379539	+	0.925176i	$0.376082\pi$
$68$	0.553694	−	2.57311i	0.0671452	−	0.312036i
$69$	−7.02924	+	2.17846i	−0.846221	+	0.262255i
$70$	−9.31986	−	7.23247i	−1.11394	−	0.864446i
$71$			4.99349i			0.592619i	0.955092	+	0.296309i	$0.0957559\pi$
$71$			4.99349i			0.592619i	−0.955092	+	0.296309i	$0.904244\pi$
$72$	−8.24112	−	2.02088i	−0.971225	−	0.238163i
$73$	7.72355	+	4.45919i	0.903973	+	0.521909i	0.878487	−	0.477766i	$-0.158553\pi$
$73$	7.72355	+	4.45919i	0.903973	+	0.521909i	0.0254859	+	0.999675i	$0.491887\pi$
$74$	−15.3549	−	1.63338i	−1.78498	−	0.189876i
$75$	8.34534	+	1.89312i	0.963636	+	0.218598i
$76$	5.98630	+	5.41739i	0.686676	+	0.621417i
$77$	2.26767	−	3.66587i	0.258425	−	0.417765i
$78$	−0.129023	−	0.147657i	−0.0146090	−	0.0167189i
$79$			14.5396i			1.63583i	0.575340	+	0.817914i	$0.304870\pi$
$79$			14.5396i			1.63583i	−0.575340	+	0.817914i	$0.695130\pi$
$80$	1.25521	+	12.5489i	0.140336	+	1.40301i
$81$	−8.89223	+	1.38862i	−0.988025	+	0.154291i
$82$	−17.2114	−	1.83086i	−1.90068	−	0.202184i
$83$	−2.34461	−	1.35366i	−0.257355	−	0.148584i	0.365773	−	0.930704i	$-0.380805\pi$
$83$	−2.34461	−	1.35366i	−0.257355	−	0.148584i	−0.623127	+	0.782120i	$0.714138\pi$
$84$	−0.533087	−	9.14963i	−0.0581645	−	0.998307i
$85$	−3.59331	+	2.07460i	−0.389749	+	0.225022i
$86$	−14.9903	+	6.65155i	−1.61644	+	0.717255i
$87$	6.66280	−	2.06489i	0.714327	−	0.221380i
$88$	−4.51106	+	0.941098i	−0.480881	+	0.100321i
$89$	−5.04396	+	2.91213i	−0.534659	+	0.308685i	−0.742912	−	0.669390i	$-0.766556\pi$
$89$	−5.04396	+	2.91213i	−0.534659	+	0.308685i	0.208253	+	0.978075i	$0.433222\pi$
$90$	6.35517	+	11.7704i	0.669894	+	1.24071i
$91$	0.111420	−	0.180120i	0.0116800	−	0.0188817i
$92$	−1.78762	+	8.30736i	−0.186372	+	0.866102i
$93$	4.67679	−	5.05382i	0.484961	−	0.524057i
$94$	0.970365	+	0.706876i	0.100086	+	0.0729087i
$95$		−	12.7276i		−	1.30582i
$96$	−6.69981	+	7.14930i	−0.683796	+	0.729673i
$97$	−15.1154	−	8.72685i	−1.53473	−	0.886078i	−0.999134	−	0.0416045i	$-0.986753\pi$
$97$	−15.1154	−	8.72685i	−1.53473	−	0.886078i	−0.535598	−	0.844473i	$-0.679914\pi$
$98$	9.27578	−	3.45831i	0.936995	−	0.349342i
$99$	−4.03110	+	2.76406i	−0.405140	+	0.277799i
$100$	6.63024	−	7.32652i	0.663024	−	0.732652i
$101$	3.10321	+	5.37492i	0.308781	+	0.534825i	0.978096	−	0.208154i	$-0.0667456\pi$
$101$	3.10321	+	5.37492i	0.308781	+	0.534825i	−0.669315	+	0.742979i	$0.733412\pi$
$102$	−3.05060	−	1.04166i	−0.302054	−	0.103140i
$103$	2.44406	−	4.23323i	0.240820	−	0.417112i	−0.720128	−	0.693841i	$-0.755917\pi$
$103$	2.44406	−	4.23323i	0.240820	−	0.417112i	0.960948	+	0.276729i	$0.0892503\pi$
$104$	−0.221648	+	0.0462402i	−0.0217344	+	0.00453423i
$105$	−10.1308	+	10.3014i	−0.988665	+	1.00532i
$106$	−3.06599	−	6.90968i	−0.297795	−	0.671128i
$107$	−6.31512	−	10.9381i	−0.610505	−	1.05743i	−0.991155	−	0.132707i	$-0.957633\pi$
$107$	−6.31512	−	10.9381i	−0.610505	−	1.05743i	0.380650	−	0.924719i	$-0.375700\pi$
$108$	−3.63729	+	9.73499i	−0.349998	+	0.936750i
$109$	9.99835	+	5.77255i	0.957668	+	0.552910i	0.895455	−	0.445153i	$-0.146851\pi$
$109$	9.99835	+	5.77255i	0.957668	+	0.552910i	0.0622137	+	0.998063i	$0.480184\pi$
$110$	5.87174	+	4.27735i	0.559848	+	0.407829i
$111$	−4.18383	+	18.4434i	−0.397112	+	1.75057i
$112$	−9.50964	−	4.64400i	−0.898576	−	0.438817i
$113$	2.58894	+	4.48417i	0.243547	+	0.421835i	0.961722	−	0.274027i	$-0.0883558\pi$
$113$	2.58894	+	4.48417i	0.243547	+	0.421835i	−0.718175	+	0.695862i	$0.755022\pi$
$114$	7.44603	−	6.50634i	0.697385	−	0.609374i
$115$	11.6011	−	6.69790i	1.08181	−	0.624582i
$116$	1.69443	−	7.87430i	0.157324	−	0.731110i
$117$	−0.198065	+	0.135810i	−0.0183111	+	0.0125557i
$118$	−3.61263	+	4.95924i	−0.332570	+	0.456535i
$119$	0.105751	−	3.48022i	0.00969420	−	0.319031i
$120$	15.4435	+	0.268772i	1.40979	+	0.0245355i
$121$	4.17279	−	7.22748i	0.379345	−	0.657044i
$122$	6.03157	+	4.39378i	0.546072	+	0.397794i
$123$	−4.68967	+	20.6732i	−0.422853	+	1.86404i
$124$	−2.43798	−	7.56798i	−0.218937	−	0.679624i
$125$	0.187286			0.0167514
$126$	−11.2055	−	0.660750i	−0.998266	−	0.0588643i
$127$			19.1471i			1.69903i	0.527562	+	0.849516i	$0.323106\pi$
$127$			19.1471i			1.69903i	−0.527562	+	0.849516i	$0.676894\pi$
$128$	3.40136	+	10.7903i	0.300640	+	0.953738i
$129$	5.94578	+	19.1853i	0.523497	+	1.68917i
$130$	0.288504	+	0.210165i	0.0253035	+	0.0184327i
$131$	−16.2141	−	9.36123i	−1.41663	−	0.817894i	−0.420633	−	0.907231i	$-0.638192\pi$
$131$	−16.2141	−	9.36123i	−1.41663	−	0.817894i	−0.996001	+	0.0893370i	$0.971525\pi$
$132$	0.499247	+	5.62172i	0.0434539	+	0.489308i
$133$	9.08307	+	5.61869i	0.787602	+	0.487202i
$134$	−7.10231	−	5.17378i	−0.613546	−	0.446947i
$135$	15.2264	−	6.04600i	1.31048	−	0.520357i
$136$	−2.77552	+	2.48021i	−0.237999	+	0.212676i
$137$	−3.47619	−	6.02094i	−0.296991	−	0.514404i	0.678455	−	0.734642i	$-0.262650\pi$
$137$	−3.47619	−	6.02094i	−0.296991	−	0.514404i	−0.975446	+	0.220238i	$0.929317\pi$
$138$	9.84895	+	3.36304i	0.838398	+	0.286281i
$139$	−11.7683	+	6.79440i	−0.998170	+	0.576294i	−0.907706	−	0.419606i	$-0.862168\pi$
$139$	−11.7683	+	6.79440i	−0.998170	+	0.576294i	−0.0904638	+	0.995900i	$0.528835\pi$
$140$	4.63091	+	16.0278i	0.391383	+	1.35460i
$141$	0.998659	−	1.07917i	0.0841023	−	0.0908824i
$142$	4.15804	−	5.70795i	0.348935	−	0.479000i
$143$	−0.0652116	+	0.112950i	−0.00545327	+	0.00944534i
$144$	7.73747	+	9.17232i	0.644789	+	0.764360i
$145$	−10.9963	+	6.34873i	−0.913195	+	0.527234i
$146$	−5.11549	−	11.5285i	−0.423361	−	0.954108i
$147$	−2.87932	−	11.7775i	−0.237482	−	0.971392i
$148$	16.1918	+	14.6530i	1.33096	+	1.20447i
$149$	0.262277	+	0.151426i	0.0214866	+	0.0124053i	0.510705	−	0.859756i	$-0.329385\pi$
$149$	0.262277	+	0.151426i	0.0214866	+	0.0124053i	−0.489218	+	0.872161i	$0.662718\pi$
$150$	−7.96299	−	9.11306i	−0.650175	−	0.744079i
$151$	−2.63797	+	1.52303i	−0.214675	+	0.123943i	−0.603482	−	0.797377i	$-0.706221\pi$
$151$	−2.63797	+	1.52303i	−0.214675	+	0.123943i	0.388807	+	0.921319i	$0.372887\pi$
$152$	−2.33179	−	11.1772i	−0.189133	−	0.906593i
$153$	−1.70353	+	3.56157i	−0.137722	+	0.287936i
$154$	−5.64466	+	2.30211i	−0.454860	+	0.185509i
$155$	−6.26710	+	10.8549i	−0.503386	+	0.871889i
$156$	0.0245302	+	0.276220i	0.00196399	+	0.0221153i
$157$	−12.1464			−0.969388			−0.484694	−	0.874684i	$-0.661069\pi$
$157$	−12.1464			−0.969388			−0.484694	+	0.874684i	$0.661069\pi$
$158$	12.1070	−	16.6198i	0.963178	−	1.32220i
$159$	−8.84334	+	2.74067i	−0.701323	+	0.217349i
$160$	9.01453	−	15.3895i	0.712661	−	1.21665i
$161$	−0.341421	+	11.2360i	−0.0269077	+	0.885519i
$162$	11.3208	+	5.81718i	0.889446	+	0.457041i
$163$	7.33302	+	12.7012i	0.574367	+	0.994832i	0.996110	+	0.0881170i	$0.0280849\pi$
$163$	7.33302	+	12.7012i	0.574367	+	0.994832i	−0.421743	+	0.906715i	$0.638582\pi$
$164$	18.1494	+	16.4246i	1.41723	+	1.28254i
$165$	6.04295	−	6.53011i	0.470443	−	0.508369i
$166$	1.55289	+	3.49968i	0.120528	+	0.271628i
$167$	0.0238525	+	0.0413137i	0.00184576	+	0.00319695i	0.866947	−	0.498401i	$-0.166079\pi$
$167$	0.0238525	+	0.0413137i	0.00184576	+	0.00319695i	−0.865101	+	0.501598i	$0.832746\pi$
$168$	−7.00946	+	10.9026i	−0.540791	+	0.841157i
$169$	6.49680	−	11.2528i	0.499754	−	0.865599i
$170$	5.83493	+	0.620689i	0.447519	+	0.0476047i
$171$	−6.84862	−	9.98800i	−0.523727	−	0.763801i
$172$	22.6737	+	4.87904i	1.72886	+	0.372023i
$173$	−21.5196			−1.63611			−0.818053	−	0.575142i	$-0.804947\pi$
$173$	−21.5196			−1.63611			−0.818053	+	0.575142i	$0.804947\pi$
$174$	−9.33552	−	3.18772i	−0.707724	−	0.241661i
$175$	6.87661	−	11.1166i	0.519823	−	0.840336i
$176$	5.94014	+	2.68057i	0.447755	+	0.202056i
$177$	5.51530	+	5.10385i	0.414556	+	0.383629i
$178$	8.19055	+	0.871267i	0.613907	+	0.0653042i
$179$	−8.05382	+	13.9496i	−0.601971	+	1.04264i	0.390551	+	0.920581i	$0.372284\pi$
$179$	−8.05382	+	13.9496i	−0.601971	+	1.04264i	−0.992522	+	0.122063i	$0.961049\pi$
$180$	2.53666	−	18.7464i	0.189071	−	1.39727i
$181$	−17.3344			−1.28846			−0.644230	−	0.764832i	$-0.722822\pi$
$181$	−17.3344			−1.28846			−0.644230	+	0.764832i	$0.722822\pi$
$182$	−0.277347	+	0.113113i	−0.0205583	+	0.00838447i
$183$	6.20743	−	6.70786i	0.458867	−	0.495859i
$184$	8.96085	−	8.00743i	0.660602	−	0.590315i
$185$		−	34.4257i		−	2.53103i
$186$	−9.55421	+	1.88259i	−0.700548	+	0.138038i
$187$			2.14409i			0.156791i
$188$	−0.520594	−	1.61603i	−0.0379682	−	0.117861i
$189$	−2.40705	+	13.5354i	−0.175087	+	0.984553i
$190$	−10.5982	+	14.5486i	−0.768871	+	1.05547i
$191$		−	2.28810i		−	0.165561i	−0.996568	−	0.0827807i	$-0.973620\pi$
$191$		−	2.28810i		−	0.165561i	0.996568	−	0.0827807i	$-0.0263801\pi$
$192$	13.6116	−	2.59334i	0.982330	−	0.187158i
$193$	22.8602			1.64552			0.822758	−	0.568392i	$-0.192434\pi$
$193$	22.8602			1.64552			0.822758	+	0.568392i	$0.192434\pi$
$194$	10.0113	+	22.5619i	0.718766	+	1.61985i
$195$	0.296916	−	0.320853i	0.0212626	−	0.0229767i
$196$	−13.4826	−	3.77074i	−0.963045	−	0.269339i
$197$		−	10.0173i		−	0.713700i	−0.934162	−	0.356850i	$-0.883851\pi$
$197$		−	10.0173i		−	0.713700i	0.934162	−	0.356850i	$-0.116149\pi$
$198$	6.90946	+	0.197120i	0.491034	+	0.0140087i
$199$	4.29226	−	7.43441i	0.304270	−	0.527011i	−0.672829	−	0.739798i	$-0.734921\pi$
$199$	4.29226	−	7.43441i	0.304270	−	0.527011i	0.977099	+	0.212787i	$0.0682542\pi$
$200$	−13.6796	+	2.85384i	−0.967294	+	0.201797i
$201$	−7.30940	+	7.89867i	−0.515565	+	0.557129i
$202$	0.928435	−	8.72797i	0.0653245	−	0.614098i
$203$	0.323622	−	10.6502i	0.0227138	−	0.747500i
$204$	2.61969	+	3.73091i	0.183415	+	0.261216i
$205$		−	38.5878i		−	2.69509i
$206$	−6.31872	+	2.80377i	−0.440246	+	0.195348i
$207$	5.49989	−	11.4986i	0.382269	−	0.799211i
$208$	0.291865	+	0.131708i	0.0202372	+	0.00913232i
$209$	−5.69581	−	3.28848i	−0.393987	−	0.227469i
$210$	20.1582	−	3.33950i	1.39105	−	0.230447i
$211$	−2.83896	−	4.91723i	−0.195442	−	0.338516i	0.751603	−	0.659616i	$-0.229281\pi$
$211$	−2.83896	−	4.91723i	−0.195442	−	0.338516i	−0.947045	+	0.321100i	$0.895948\pi$
$212$	−2.24896	+	10.4513i	−0.154459	+	0.717800i
$213$	−6.34796	−	5.87438i	−0.434955	−	0.402506i
$214$	−1.88939	+	17.7616i	−0.129156	+	1.21416i
$215$	−18.2809	−	31.6635i	−1.24675	−	2.15943i
$216$	12.2639	−	8.09911i	0.834456	−	0.551075i
$217$	−4.97999	−	9.26451i	−0.338064	−	0.628916i
$218$	−6.62214	−	14.9240i	−0.448508	−	1.01078i
$219$	−14.7548	+	4.57270i	−0.997035	+	0.308995i
$220$	−3.15014	−	9.77869i	−0.212383	−	0.659279i
$221$			0.105348i			0.00708650i
$222$	20.1401	−	17.5984i	1.35171	−	1.18113i
$223$	−6.85163	+	11.8674i	−0.458819	+	0.794698i	−0.998899	−	0.0469158i	$-0.985061\pi$
$223$	−6.85163	+	11.8674i	−0.458819	+	0.794698i	0.540080	+	0.841614i	$0.318394\pi$
$224$	7.00323	+	13.2270i	0.467923	+	0.883769i
$225$	−12.2241	+	8.38190i	−0.814942	+	0.558793i
$226$	0.774572	−	7.28154i	0.0515237	−	0.484361i
$227$	−11.4038	+	6.58401i	−0.756899	+	0.436996i	−0.828181	−	0.560460i	$-0.810624\pi$
$227$	−11.4038	+	6.58401i	−0.756899	+	0.436996i	0.0712822	+	0.997456i	$0.477291\pi$
$228$	−13.9292	+	1.23700i	−0.922481	+	0.0819226i
$229$	2.44088	−	4.22773i	0.161298	−	0.279376i	−0.774037	−	0.633141i	$-0.781765\pi$
$229$	2.44088	−	4.22773i	0.161298	−	0.279376i	0.935334	+	0.353765i	$0.115099\pi$
$230$	−18.8382	−	2.00391i	−1.24216	−	0.132134i
$231$	1.99252	+	7.19532i	0.131098	+	0.473417i
$232$	−8.49372	+	7.59000i	−0.557640	+	0.498308i
$233$	1.93359	+	3.34907i	0.126674	+	0.219405i	0.922386	−	0.386270i	$-0.126237\pi$
$233$	1.93359	+	3.34907i	0.126674	+	0.219405i	−0.795712	+	0.605675i	$0.792903\pi$
$234$	0.339492	+	0.00968538i	0.0221933	+	0.000633153i
$235$	−1.33825	+	2.31791i	−0.0872975	+	0.151204i
$236$	8.25903	−	2.66060i	0.537617	−	0.173190i
$237$	−18.4834	−	17.1044i	−1.20062	−	1.11105i
$238$	−3.01883	+	3.89010i	−0.195681	+	0.252158i
$239$	−21.4576	+	12.3886i	−1.38798	+	0.801350i	−0.993087	−	0.117377i	$-0.962551\pi$
$239$	−21.4576	+	12.3886i	−1.38798	+	0.801350i	−0.394892	+	0.918727i	$0.629218\pi$
$240$	−17.4293	−	13.1669i	−1.12506	−	0.849920i
$241$	−0.753227	+	0.434876i	−0.0485196	+	0.0280128i	−0.524064	−	0.851679i	$-0.675585\pi$
$241$	−0.753227	+	0.434876i	−0.0485196	+	0.0280128i	0.475544	+	0.879692i	$0.342251\pi$
$242$	−10.7881	+	4.78693i	−0.693484	+	0.307716i
$243$	8.69561	−	12.9378i	0.557823	−	0.829960i
$244$	−3.23589	−	10.0449i	−0.207157	−	0.643056i
$245$	9.85420	+	19.7480i	0.629562	+	1.26165i
$246$	22.5751	−	19.7261i	1.43933	−	1.25769i
$247$	−0.279860	−	0.161577i	−0.0178071	−	0.0102809i
$248$	−3.51499	+	10.6809i	−0.223202	+	0.678236i
$249$	4.47906	−	1.38812i	0.283849	−	0.0879686i
$250$	−0.214082	−	0.155951i	−0.0135398	−	0.00986322i
$251$		−	6.29865i		−	0.397567i	−0.980043	−	0.198784i	$-0.936301\pi$
$251$		−	6.29865i		−	0.397567i	0.980043	−	0.198784i	$-0.0636991\pi$
$252$	12.2586	+	10.0860i	0.772217	+	0.635359i
$253$		−	6.92225i		−	0.435198i
$254$	15.9436	−	21.8866i	1.00039	−	1.37329i
$255$	1.58987	−	7.00855i	0.0995615	−	0.438892i
$256$	5.09698	−	15.1664i	0.318561	−	0.947902i
$257$	−6.58189	−	3.80005i	−0.410567	−	0.237041i	0.280466	−	0.959864i	$-0.409511\pi$
$257$	−6.58189	−	3.80005i	−0.410567	−	0.237041i	−0.691033	+	0.722823i	$0.742844\pi$
$258$	9.17892	−	26.8813i	0.571455	−	1.67355i
$259$	24.5680	+	15.1975i	1.52658	+	0.944325i
$260$	−0.154780	−	0.480469i	−0.00959906	−	0.0297974i
$261$	−5.21318	+	10.8992i	−0.322688	+	0.674645i
$262$	10.7390	+	24.2020i	0.663457	+	1.49520i
$263$	23.1028	−	13.3384i	1.42458	−	0.822480i	0.427892	−	0.903830i	$-0.359256\pi$
$263$	23.1028	−	13.3384i	1.42458	−	0.822480i	0.996686	+	0.0813497i	$0.0259231\pi$
$264$	4.11048	−	6.84179i	0.252983	−	0.421083i
$265$	14.5951	−	8.42649i	0.896570	−	0.517635i
$266$	−5.70402	−	13.9860i	−0.349736	−	0.857536i
$267$	2.23172	−	9.83797i	0.136579	−	0.602074i
$268$	3.81034	+	11.8281i	0.232753	+	0.722514i
$269$	−3.84940	+	6.66735i	−0.234702	+	0.406516i	−0.959186	−	0.282776i	$-0.908745\pi$
$269$	−3.84940	+	6.66735i	−0.234702	+	0.406516i	0.724484	+	0.689292i	$0.242078\pi$
$270$	−22.4394	−	5.76781i	−1.36562	−	0.351017i
$271$	3.10958	+	5.38595i	0.188894	+	0.327173i	0.944882	−	0.327412i	$-0.106177\pi$
$271$	3.10958	+	5.38595i	0.188894	+	0.327173i	−0.755988	+	0.654585i	$0.772843\pi$
$272$	5.23788	−	0.523922i	0.317593	−	0.0317674i
$273$	0.0979014	+	0.353537i	0.00592526	+	0.0213971i
$274$	−1.04003	+	9.77699i	−0.0628302	+	0.590650i
$275$	−4.02471	+	6.97100i	−0.242699	+	0.420367i
$276$	−8.45774	−	12.0453i	−0.509096	−	0.725044i
$277$	3.08529	−	1.78129i	0.185377	−	0.107028i	−0.404439	−	0.914565i	$-0.632533\pi$
$277$	3.08529	−	1.78129i	0.185377	−	0.107028i	0.589817	+	0.807537i	$0.299200\pi$
$278$	19.1097	+	2.03279i	1.14612	+	0.121918i
$279$	0.922840	+	11.8907i	0.0552490	+	0.711878i
$280$	8.05274	−	22.1772i	0.481243	−	1.32534i
$281$	−6.37653	+	11.0445i	−0.380392	+	0.658858i	−0.991118	−	0.132983i	$-0.957544\pi$
$281$	−6.37653	+	11.0445i	−0.380392	+	0.658858i	0.610726	+	0.791842i	$0.290878\pi$
$282$	−2.04016	+	0.401999i	−0.121490	+	0.0239387i
$283$			26.8312i			1.59495i	0.603352	+	0.797475i	$0.293832\pi$
$283$			26.8312i			1.59495i	−0.603352	+	0.797475i	$0.706168\pi$
$284$	−9.50591	+	3.06227i	−0.564072	+	0.181712i
$285$	16.1799	+	14.9728i	0.958415	+	0.886914i
$286$	0.168594	−	0.0748093i	0.00996918	−	0.00442357i
$287$	27.5383	+	17.0349i	1.62553	+	1.00554i
$288$	−1.20682	−	16.9276i	−0.0711125	−	0.997468i
$289$	−7.63407	−	13.2226i	−0.449063	−	0.777799i
$290$	17.8562	+	1.89945i	1.04855	+	0.111539i
$291$	28.8758	−	8.94900i	1.69273	−	0.524600i
$292$	−3.75230	+	17.4376i	−0.219587	+	1.02046i
$293$	16.2805	+	28.1986i	0.951116	+	1.64738i	0.743016	+	0.669274i	$0.233395\pi$
$293$	16.2805	+	28.1986i	0.951116	+	1.64738i	0.208100	+	0.978108i	$0.433272\pi$
$294$	−6.51574	+	15.8602i	−0.380005	+	0.924984i
$295$	−11.8461	−	6.83937i	−0.689709	−	0.398204i
$296$	−6.30705	−	30.2323i	−0.366590	−	1.75721i
$297$	1.22841	−	8.37618i	0.0712795	−	0.486035i
$298$	−0.173712	−	0.391488i	−0.0100629	−	0.0226783i
$299$		−	0.340120i		−	0.0196697i
$300$	1.51395	+	17.0476i	0.0874077	+	0.984246i
$301$	30.6670	+	0.931858i	1.76761	+	0.0537114i
$302$	4.28361	+	0.455668i	0.246494	+	0.0262208i
$303$	−10.4835	−	2.37815i	−0.602261	−	0.136621i
$304$	−6.64176	+	14.7181i	−0.380931	+	0.844141i
$305$	−8.31823	+	14.4076i	−0.476300	+	0.824976i
$306$	4.91296	−	2.65264i	0.280855	−	0.151641i
$307$			8.23130i			0.469785i	0.972021	+	0.234892i	$0.0754738\pi$
$307$			8.23130i			0.469785i	−0.972021	+	0.234892i	$0.924526\pi$
$308$	8.36923	+	2.06877i	0.476881	+	0.117879i
$309$	2.50627	+	8.08700i	0.142577	+	0.460053i
$310$	16.2026	−	7.18948i	0.920245	−	0.408335i
$311$	−4.97975			−0.282376			−0.141188	−	0.989983i	$-0.545092\pi$
$311$	−4.97975			−0.282376			−0.141188	+	0.989983i	$0.545092\pi$
$312$	0.201966	−	0.336167i	0.0114341	−	0.0190317i
$313$			15.0975i			0.853362i	0.904402	+	0.426681i	$0.140317\pi$
$313$			15.0975i			0.853362i	−0.904402	+	0.426681i	$0.859683\pi$
$314$	13.8843	+	10.1142i	0.783535	+	0.570777i
$315$	−1.17770	−	24.9974i	−0.0663556	−	1.40844i
$316$	−27.6784	+	8.91642i	−1.55703	+	0.501588i
$317$			24.8337i			1.39480i	0.716683	+	0.697399i	$0.245659\pi$
$317$			24.8337i			1.39480i	−0.716683	+	0.697399i	$0.754341\pi$
$318$	12.3908	+	4.23097i	0.694839	+	0.237261i
$319$			6.56139i			0.367367i
$320$	−23.1190	+	10.0851i	−1.29239	+	0.563775i
$321$	21.3342	+	4.83959i	1.19076	+	0.270120i
$322$	9.74636	−	12.5593i	0.543144	−	0.699902i
$323$	−5.31249			−0.295595
$324$	−8.09664	−	16.0762i	−0.449813	−	0.893123i
$325$	−0.197751	+	0.342515i	−0.0109693	+	0.0189993i
$326$	2.19393	−	20.6246i	0.121511	−	1.14229i
$327$	−19.1005	+	5.91949i	−1.05626	+	0.327349i
$328$	−7.06959	−	33.8874i	−0.390353	−	1.87112i
$329$	−1.06340	−	1.97830i	−0.0586273	−	0.109067i
$330$	−12.3451	+	2.43252i	−0.679576	+	0.133906i
$331$	−0.767358			−0.0421778			−0.0210889	−	0.999778i	$-0.506713\pi$
$331$	−0.767358			−0.0421778			−0.0210889	+	0.999778i	$0.506713\pi$
$332$	1.13908	−	5.29348i	0.0625149	−	0.290518i
$333$	−18.5242	−	27.0156i	−1.01512	−	1.48045i
$334$	0.00713632	−	0.0670865i	0.000390482	−	0.00367081i
$335$	9.79491	−	16.9653i	0.535153	−	0.926912i
$336$	17.0909	−	6.62585i	0.932384	−	0.361470i
$337$	−0.253412	−	0.438922i	−0.0138042	−	0.0239096i	0.859041	−	0.511907i	$-0.171061\pi$
$337$	−0.253412	−	0.438922i	−0.0138042	−	0.0239096i	−0.872845	+	0.487998i	$0.837727\pi$
$338$	−16.7964	+	7.45298i	−0.913605	+	0.405389i
$339$	−8.74612	−	1.98403i	−0.475024	−	0.107758i
$340$	−6.15293	−	5.56819i	−0.333690	−	0.301977i
$341$	3.23851	+	5.60926i	0.175375	+	0.303759i
$342$	−0.488413	+	17.1198i	−0.0264103	+	0.925735i
$343$	−18.4434	−	1.68544i	−0.995850	−	0.0910050i
$344$	−21.8551	−	24.4573i	−1.17835	−	1.31865i
$345$	−5.13294	+	22.6273i	−0.276348	+	1.21821i
$346$	24.5986	+	17.9192i	1.32243	+	0.963342i
$347$	16.3269			0.876474			0.438237	−	0.898860i	$-0.355603\pi$
$347$	16.3269			0.876474			0.438237	+	0.898860i	$0.355603\pi$
$348$	8.01683	+	11.4174i	0.429747	+	0.612038i
$349$	6.28314	−	10.8827i	0.336329	−	0.582538i	−0.647411	−	0.762141i	$-0.724148\pi$
$349$	6.28314	−	10.8827i	0.336329	−	0.582538i	0.983739	+	0.179603i	$0.0574814\pi$
$350$	−17.1172	+	6.98105i	−0.914952	+	0.373153i
$351$	0.0603571	−	0.411558i	0.00322162	−	0.0219673i
$352$	−4.55795	−	8.01040i	−0.242940	−	0.426956i
$353$	13.6055	−	7.85513i	0.724146	−	0.418086i	−0.0921304	−	0.995747i	$-0.529368\pi$
$353$	13.6055	−	7.85513i	0.724146	−	0.418086i	0.816277	+	0.577661i	$0.196034\pi$
$354$	−2.05449	−	10.4266i	−0.109195	−	0.554169i
$355$	13.6346	+	7.87192i	0.723648	+	0.417798i
$356$	−8.63693	−	7.81612i	−0.457756	−	0.414253i
$357$	4.29980	+	4.22859i	0.227570	+	0.223801i
$358$	20.8219	−	9.23916i	1.10047	−	0.488305i
$359$	−19.6776	+	11.3609i	−1.03854	+	0.599604i	−0.919421	−	0.393276i	$-0.871342\pi$
$359$	−19.6776	+	11.3609i	−1.03854	+	0.599604i	−0.119123	+	0.992879i	$0.538008\pi$
$360$	−18.5095	+	19.3163i	−0.975538	+	1.01806i
$361$	−1.35201	+	2.34176i	−0.0711586	+	0.123250i
$362$	19.8146	+	14.4342i	1.04143	+	0.758646i
$363$	4.27901	+	13.8071i	0.224590	+	0.724685i
$364$	0.411217	+	0.101647i	0.0215536	+	0.00532777i
$365$	24.3514	−	14.0593i	1.27461	−	0.735895i
$366$	−12.6812	+	2.49873i	−0.662854	+	0.130611i
$367$	−3.76873	−	6.52763i	−0.196726	−	0.340739i	0.750739	−	0.660599i	$-0.229698\pi$
$367$	−3.76873	−	6.52763i	−0.196726	−	0.340739i	−0.947465	+	0.319860i	$0.896364\pi$
$368$	−16.9107	+	1.69150i	−0.881529	+	0.0881753i
$369$	−20.7638	−	30.2819i	−1.08092	−	1.57641i
$370$	−28.6660	+	39.3512i	−1.49027	+	2.04577i
$371$	−0.429534	+	14.1358i	−0.0223003	+	0.733892i
$372$	12.4888	+	5.80375i	0.647515	+	0.300911i
$373$	24.7915	+	14.3134i	1.28366	+	0.741120i	0.977515	−	0.210866i	$-0.0676284\pi$
$373$	24.7915	+	14.3134i	1.28366	+	0.741120i	0.306142	+	0.951986i	$0.400962\pi$
$374$	1.78536	−	2.45086i	0.0923188	−	0.126731i
$375$	−0.220324	+	0.238086i	−0.0113775	+	0.0122947i
$376$	−0.750574	+	2.28074i	−0.0387079	+	0.117620i
$377$			0.322389i			0.0166039i
$378$	14.0222	−	13.4676i	0.721225	−	0.692701i
$379$	−15.0610			−0.773630			−0.386815	−	0.922157i	$-0.626425\pi$
$379$	−15.0610			−0.773630			−0.386815	+	0.922157i	$0.626425\pi$
$380$	24.2290	−	7.80523i	1.24292	−	0.400400i
$381$	−24.3407	−	22.5248i	−1.24701	−	1.15398i
$382$	−1.90528	+	2.61548i	−0.0974828	+	0.133820i
$383$	4.47549	−	7.75177i	0.228687	−	0.396097i	−0.728732	−	0.684798i	$-0.759890\pi$
$383$	4.47549	−	7.75177i	0.228687	−	0.396097i	0.957419	+	0.288702i	$0.0932236\pi$
$384$	−17.7185	−	8.36984i	−0.904194	−	0.427121i
$385$	−6.43471	−	11.9708i	−0.327943	−	0.610089i
$386$	−26.1310	−	19.0355i	−1.33003	−	0.968882i
$387$	−31.3839	−	15.0112i	−1.59533	−	0.763060i
$388$	7.34344	−	34.1263i	0.372807	−	1.73250i
$389$	3.08582	−	1.78160i	0.156457	−	0.0903308i	−0.419727	−	0.907650i	$-0.637874\pi$
$389$	3.08582	−	1.78160i	0.156457	−	0.0903308i	0.576185	+	0.817320i	$0.304541\pi$
$390$	−0.606569	+	0.119520i	−0.0307148	+	0.00605214i
$391$	−2.79570	−	4.84229i	−0.141384	−	0.244885i
$392$	12.2718	+	15.5371i	0.619821	+	0.784743i
$393$	30.9748	−	9.59952i	1.56247	−	0.484232i
$394$	−8.34128	+	11.4505i	−0.420228	+	0.576868i
$395$	39.6998	+	22.9207i	1.99751	+	1.15326i
$396$	−7.73391	−	5.97877i	−0.388644	−	0.300445i
$397$	−5.23487	−	9.06706i	−0.262731	−	0.455063i	0.704236	−	0.709966i	$-0.251290\pi$
$397$	−5.23487	−	9.06706i	−0.262731	−	0.455063i	−0.966967	+	0.254903i	$0.917956\pi$
$398$	−11.0969	+	4.92398i	−0.556239	+	0.246817i
$399$	−17.8281	+	4.93695i	−0.892522	+	0.247157i
$400$	18.0132	+	8.12872i	0.900661	+	0.406436i
$401$	−3.83475	+	6.64198i	−0.191498	+	0.331685i	−0.945747	−	0.324904i	$-0.894668\pi$
$401$	−3.83475	+	6.64198i	−0.191498	+	0.331685i	0.754249	+	0.656589i	$0.228001\pi$
$402$	14.9324	−	2.94232i	0.744758	−	0.146749i
$403$	0.159122	+	0.275608i	0.00792644	+	0.0137290i
$404$	−8.32897	+	9.20364i	−0.414382	+	0.457898i
$405$	−10.2264	+	26.4690i	−0.508156	+	1.31526i
$406$	−9.23828	+	11.9046i	−0.458488	+	0.590814i
$407$	−15.4061	−	8.89470i	−0.763651	−	0.440894i
$408$	0.112185	−	6.44611i	0.00555400	−	0.319130i
$409$			12.9361i			0.639647i	0.947477	+	0.319824i	$0.103624\pi$
$409$			12.9361i			0.639647i	−0.947477	+	0.319824i	$0.896376\pi$
$410$	−32.1317	+	44.1089i	−1.58687	+	2.17838i
$411$	11.7435	+	2.66398i	0.579265	+	0.131405i
$412$	9.55745	+	2.05662i	0.470862	+	0.101322i
$413$	10.1105	−	5.43473i	0.497505	−	0.267425i
$414$	−15.8616	+	8.56413i	−0.779556	+	0.420904i
$415$	−7.39226	+	4.26793i	−0.362872	+	0.209504i
$416$	−0.223952	−	0.393586i	−0.0109801	−	0.0192971i
$417$	5.20690	−	22.9533i	0.254983	−	1.12403i
$418$	3.77247	+	8.50183i	0.184517	+	0.415838i
$419$	−26.7404	+	15.4386i	−1.30636	+	0.754225i	−0.981486	−	0.191534i	$-0.938654\pi$
$419$	−26.7404	+	15.4386i	−1.30636	+	0.754225i	−0.324870	+	0.945759i	$0.605320\pi$
$420$	−25.8232	−	12.9682i	−1.26004	−	0.632785i
$421$	−0.0295116	−	0.0170385i	−0.00143831	−	0.000830406i	0.499281	−	0.866440i	$-0.333598\pi$
$421$	−0.0295116	−	0.0170385i	−0.00143831	−	0.000830406i	−0.500719	+	0.865610i	$0.666931\pi$
$422$	−0.849376	+	7.98476i	−0.0413470	+	0.388692i
$423$	0.197059	+	2.53908i	0.00958132	+	0.123454i
$424$	11.2735	−	10.0740i	0.547488	−	0.489236i
$425$			6.50185i			0.315386i
$426$	2.36466	+	12.0008i	0.114568	+	0.581439i
$427$	−6.60986	−	12.2966i	−0.319874	−	0.595076i
$428$	16.9497	−	18.7296i	0.819293	−	0.905332i
$429$	−0.0668716	−	0.215775i	−0.00322859	−	0.0104177i
$430$	−5.46939	+	51.4162i	−0.263757	+	2.47951i
$431$	−0.136132	−	0.0785960i	−0.00655726	−	0.00378584i	0.496718	−	0.867912i	$-0.334538\pi$
$431$	−0.136132	−	0.0785960i	−0.00655726	−	0.00378584i	−0.503275	+	0.864126i	$0.667872\pi$
$432$	−20.7627	−	0.954159i	−0.998946	−	0.0459070i
$433$			20.9730i			1.00790i	0.863734	+	0.503949i	$0.168120\pi$
$433$			20.9730i			1.00790i	−0.863734	+	0.503949i	$0.831880\pi$
$434$	−2.02196	+	14.7368i	−0.0970574	+	0.707391i
$435$	4.86536	−	21.4477i	0.233276	−	1.02834i
$436$	−4.85746	+	22.5735i	−0.232630	+	1.08107i
$437$	17.1515			0.820468
$438$	20.6735	+	7.05920i	0.987818	+	0.337302i
$439$	18.0392			0.860965			0.430483	−	0.902599i	$-0.358343\pi$
$439$	18.0392			0.860965			0.430483	+	0.902599i	$0.358343\pi$
$440$	−4.54176	+	13.8009i	−0.216520	+	0.657932i
$441$	18.3593	+	10.1948i	0.874255	+	0.485468i
$442$	0.0877226	−	0.120421i	0.00417254	−	0.00572786i
$443$	−21.2999			−1.01199			−0.505995	−	0.862536i	$-0.668875\pi$
$443$	−21.2999			−1.01199			−0.505995	+	0.862536i	$0.668875\pi$
$444$	−37.6757	+	3.34586i	−1.78801	+	0.158787i
$445$			18.3632i			0.870497i
$446$	17.7138	−	7.86004i	0.838773	−	0.372184i
$447$	−0.501045	+	0.155281i	−0.0236986	+	0.00734452i
$448$	3.00880	−	20.9511i	0.142152	−	0.989845i
$449$	34.8408			1.64424			0.822120	−	0.569315i	$-0.192791\pi$
$449$	34.8408			1.64424			0.822120	+	0.569315i	$0.192791\pi$
$450$	20.9527	+	0.597759i	0.987718	+	0.0281786i
$451$	−17.2687	−	9.97009i	−0.813151	−	0.469473i
$452$	−6.94866	+	7.67838i	−0.326838	+	0.361161i
$453$	1.16718	−	5.14521i	0.0548387	−	0.241743i
$454$	18.5179	+	1.96984i	0.869089	+	0.0924491i
$455$	−0.316165	−	0.588178i	−0.0148221	−	0.0275742i
$456$	16.9522	+	10.1847i	0.793857	+	0.476942i
$457$	−3.95677			−0.185090			−0.0925448	−	0.995709i	$-0.529500\pi$
$457$	−3.95677			−0.185090			−0.0925448	+	0.995709i	$0.529500\pi$
$458$	−6.31050	+	2.80012i	−0.294870	+	0.130841i
$459$	−2.52359	−	6.35547i	−0.117791	−	0.296648i
$460$	19.8649	+	17.9770i	0.926207	+	0.838184i
$461$	12.1460	−	21.0375i	0.565696	−	0.979815i	−0.431288	−	0.902214i	$-0.641941\pi$
$461$	12.1460	−	21.0375i	0.565696	−	0.979815i	0.996985	−	0.0776004i	$-0.0247258\pi$
$462$	3.71387	−	9.88397i	0.172785	−	0.459844i
$463$	−8.76610	+	5.06111i	−0.407395	+	0.235210i	−0.689670	−	0.724124i	$-0.742244\pi$
$463$	−8.76610	+	5.06111i	−0.407395	+	0.235210i	0.282275	+	0.959334i	$0.408911\pi$
$464$	16.0291	−	1.60332i	0.744132	−	0.0744322i
$465$	−6.42663	−	20.7369i	−0.298028	−	0.961648i
$466$	0.578501	−	5.43833i	0.0267986	−	0.251926i
$467$	2.47270	−	1.42762i	0.114423	−	0.0660622i	−0.441696	−	0.897165i	$-0.645623\pi$
$467$	2.47270	−	1.42762i	0.114423	−	0.0660622i	0.556119	+	0.831102i	$0.312290\pi$
$468$	−0.380001	−	0.293763i	−0.0175655	−	0.0135792i
$469$	7.78327	+	14.4796i	0.359398	+	0.668606i
$470$	3.45982	−	1.53521i	0.159590	−	0.0708138i
$471$	14.2891	−	15.4411i	0.658407	−	0.711486i
$472$	−11.6562	−	3.83595i	−0.536519	−	0.176564i
$473$	−18.8933			−0.868713
$474$	6.88520	+	34.9426i	0.316248	+	1.60497i
$475$	−17.2723	−	9.97217i	−0.792508	−	0.457555i
$476$	6.69000	−	1.93294i	0.306636	−	0.0885960i
$477$	6.91930	−	14.4662i	0.316813	−	0.662362i
$478$	34.8436	+	3.70648i	1.59371	+	0.169530i
$479$	−16.9602	−	29.3759i	−0.774930	−	1.34222i	−0.934834	−	0.355085i	$-0.884452\pi$
$479$	−16.9602	−	29.3759i	−0.774930	−	1.34222i	0.159904	−	0.987133i	$-0.448882\pi$
$480$	8.95912	+	29.5640i	0.408926	+	1.34941i
$481$	−0.756967	−	0.437035i	−0.0345147	−	0.0199271i
$482$	1.22311	+	0.130108i	0.0557113	+	0.00592627i
$483$	−13.8820	−	13.6521i	−0.631655	−	0.621193i
$484$	16.3176	+	3.51130i	0.741711	+	0.159605i
$485$	−47.6568	+	27.5147i	−2.16398	+	1.24938i
$486$	−20.7129	+	7.54815i	−0.939558	+	0.342391i
$487$	27.3521	+	15.7917i	1.23944	+	0.715591i	0.968980	−	0.247140i	$-0.0794909\pi$
$487$	27.3521	+	15.7917i	1.23944	+	0.715591i	0.270460	+	0.962731i	$0.412824\pi$
$488$	−4.66539	+	14.1765i	−0.211192	+	0.641742i
$489$	−24.7729	−	5.61967i	−1.12027	−	0.254130i
$490$	5.17988	−	30.7790i	0.234003	−	1.39045i
$491$	−13.9244	−	24.1177i	−0.628397	−	1.08842i	−0.987873	−	0.155262i	$-0.950378\pi$
$491$	−13.9244	−	24.1177i	−0.628397	−	1.08842i	0.359476	−	0.933154i	$-0.382955\pi$
$492$	−42.2308	+	3.75038i	−1.90391	+	0.169080i
$493$	2.64995	+	4.58986i	0.119348	+	0.206717i
$494$	0.185358	+	0.417732i	0.00833964	+	0.0187947i
$495$	1.19241	+	15.3641i	0.0535950	+	0.690567i
$496$	12.9118	−	9.28216i	0.579755	−	0.416781i
$497$	−11.6369	+	6.25522i	−0.521986	+	0.280585i
$498$	−6.27579	−	2.14294i	−0.281225	−	0.0960275i
$499$	5.16945	−	8.95375i	0.231416	−	0.400825i	−0.726809	−	0.686840i	$-0.758997\pi$
$499$	5.16945	−	8.95375i	0.231416	−	0.400825i	0.958225	+	0.286015i	$0.0923307\pi$
$500$	0.114853	+	0.356529i	0.00513640	+	0.0159444i
$501$	−0.0805802	−	0.0182794i	−0.00360006	−	0.000816663i
$502$	−5.24483	+	7.19984i	−0.234088	+	0.321345i
$503$	22.8800			1.02017			0.510085	−	0.860124i	$-0.329614\pi$
$503$	22.8800			1.02017			0.510085	+	0.860124i	$0.329614\pi$
$504$	−5.61396	−	21.7367i	−0.250066	−	0.968229i
$505$	19.5681			0.870767
$506$	−5.76409	+	7.91266i	−0.256245	+	0.351761i
$507$	6.66217	+	21.4969i	0.295878	+	0.954710i
$508$	−36.4496	+	11.7420i	−1.61719	+	0.520968i
$509$	−15.6881	+	27.1725i	−0.695361	+	1.20440i	0.274698	+	0.961531i	$0.411422\pi$
$509$	−15.6881	+	27.1725i	−0.695361	+	1.20440i	−0.970059	+	0.242870i	$0.921911\pi$
$510$	−7.65330	+	6.68745i	−0.338894	+	0.296125i
$511$	−0.716661	+	23.5849i	−0.0317032	+	1.04334i
$512$	−18.4552	+	13.0922i	−0.815612	+	0.578599i
$513$	20.7540	+	3.04367i	0.916310	+	0.134382i
$514$	4.35934	+	9.82443i	0.192282	+	0.433337i
$515$	−7.70580	−	13.3468i	−0.339558	−	0.588132i
$516$	−32.8760	+	23.0842i	−1.44729	+	1.01622i
$517$	0.691535	+	1.19777i	0.0304137	+	0.0526781i
$518$	−15.4283	−	37.8294i	−0.677880	−	1.66213i
$519$	25.3158	−	27.3567i	1.11124	−	1.20083i
$520$	−0.223157	+	0.678098i	−0.00978607	+	0.0297366i
$521$	−0.825290	−	0.476481i	−0.0361566	−	0.0208750i	0.481813	−	0.876274i	$-0.339979\pi$
$521$	−0.825290	−	0.476481i	−0.0361566	−	0.0208750i	−0.517969	+	0.855399i	$0.673312\pi$
$522$	15.0347	−	8.11768i	0.658053	−	0.355301i
$523$	28.2674	−	16.3202i	1.23605	−	0.713633i	0.267765	−	0.963484i	$-0.413715\pi$
$523$	28.2674	−	16.3202i	1.23605	−	0.713633i	0.968284	+	0.249851i	$0.0803817\pi$
$524$	7.87725	−	36.6070i	0.344119	−	1.59918i
$525$	6.04225	+	21.8195i	0.263705	+	0.952281i
$526$	−37.5150	−	3.99065i	−1.63573	−	0.174001i
$527$	4.53084	+	2.61588i	0.197366	+	0.113950i
$528$	−10.3957	+	4.39793i	−0.452414	+	0.191395i
$529$	−2.47402	−	4.28513i	−0.107566	−	0.186310i
$530$	−23.7000	−	2.52108i	−1.02946	−	0.109509i
$531$	−12.9765	+	1.00711i	−0.563132	+	0.0437047i
$532$	−5.12586	+	20.7368i	−0.222234	+	0.899052i
$533$	−0.848486	−	0.489874i	−0.0367520	−	0.0212188i
$534$	−10.7430	+	9.38723i	−0.464896	+	0.406225i
$535$	−39.8215			−1.72163
$536$	5.49361	−	16.6932i	0.237288	−	0.721037i
$537$	−8.25884	−	26.6488i	−0.356395	−	1.14998i
$538$	9.95201	−	4.41594i	0.429061	−	0.190385i
$539$	11.3836	+	0.692454i	0.490328	+	0.0298261i
$540$	20.8471	+	25.2781i	0.897117	+	1.08780i
$541$	−9.95401	+	5.74695i	−0.427956	+	0.247081i	−0.698476	−	0.715634i	$-0.746138\pi$
$541$	−9.95401	+	5.74695i	−0.427956	+	0.247081i	0.270519	+	0.962715i	$0.412805\pi$
$542$	0.930341	−	8.74588i	0.0399615	−	0.375668i
$543$	20.3924	−	22.0363i	0.875120	−	0.945670i
$544$	−6.42357	−	3.76265i	−0.275408	−	0.161322i
$545$	31.5235	−	18.2001i	1.35032	−	0.779607i
$546$	0.182479	−	0.485642i	0.00780936	−	0.0207836i
$547$	−15.9795	+	27.6773i	−0.683235	+	1.18340i	0.290753	+	0.956798i	$0.406094\pi$
$547$	−15.9795	+	27.6773i	−0.683235	+	1.18340i	−0.973988	+	0.226599i	$0.927239\pi$
$548$	9.33004	−	10.3098i	0.398560	−	0.440415i
$549$	1.22487	+	15.7824i	0.0522762	+	0.673574i
$550$	10.4052	−	4.61705i	0.443681	−	0.196872i
$551$	−16.2574			−0.692588
$552$	−0.362193	+	20.8114i	−0.0154160	+	0.885794i
$553$	−33.8831	+	18.2133i	−1.44086	+	0.774509i
$554$	−5.00999	−	0.532937i	−0.212854	−	0.0226423i
$555$	43.7635	+	40.4986i	1.85766	+	1.71907i
$556$	−20.1511	−	18.2361i	−0.854599	−	0.773382i
$557$	23.0692	+	13.3190i	0.977473	+	0.564344i	0.901506	−	0.432766i	$-0.142462\pi$
$557$	23.0692	+	13.3190i	0.977473	+	0.564344i	0.0759668	+	0.997110i	$0.475796\pi$
$558$	8.84640	−	14.3604i	0.374498	−	0.607926i
$559$	−0.928308			−0.0392633
$560$	−27.6716	+	18.6448i	−1.16934	+	0.787886i
$561$	−2.72566	−	2.52232i	−0.115078	−	0.106492i
$562$	16.4855	−	7.31501i	0.695399	−	0.308565i
$563$			23.6890i			0.998371i	0.866495	+	0.499185i	$0.166367\pi$
$563$			23.6890i			0.998371i	−0.866495	+	0.499185i	$0.833633\pi$
$564$	2.66680	+	1.23931i	0.112293	+	0.0521842i
$565$	16.3252			0.686805
$566$	22.3421	−	30.6702i	0.939109	−	1.28916i
$567$	−14.3751	−	18.9830i	−0.603698	−	0.797213i
$568$	13.4159	+	4.41507i	0.562919	+	0.185252i
$569$	34.1153			1.43019			0.715094	−	0.699028i	$-0.246384\pi$
$569$	34.1153			1.43019			0.715094	+	0.699028i	$0.246384\pi$
$570$	−6.02714	−	30.5880i	−0.252449	−	1.28119i
$571$	−16.9315			−0.708560			−0.354280	−	0.935139i	$-0.615274\pi$
$571$	−16.9315			−0.708560			−0.354280	+	0.935139i	$0.615274\pi$
$572$	−0.255009	−	0.0548740i	−0.0106625	−	0.00229440i
$573$	2.90874	+	2.69174i	0.121514	+	0.112449i
$574$	−17.2936	−	42.4030i	−0.721821	−	1.76987i
$575$		−	20.9914i		−	0.875403i
$576$	−12.7160	+	20.3545i	−0.529832	+	0.848103i
$577$	−33.2402	−	19.1913i	−1.38381	−	0.798943i	−0.391201	−	0.920305i	$-0.627940\pi$
$577$	−33.2402	−	19.1913i	−1.38381	−	0.798943i	−0.992608	+	0.121363i	$0.961274\pi$
$578$	−2.28400	+	21.4713i	−0.0950019	+	0.893087i
$579$	−26.8929	+	29.0610i	−1.11763	+	1.20773i
$580$	−18.8294	−	17.0399i	−0.781846	−	0.707543i
$581$	0.217555	−	7.15961i	0.00902568	−	0.297031i
$582$	−40.4590	−	13.8152i	−1.67708	−	0.572659i
$583$		−	8.70874i		−	0.360679i
$584$	18.8093	−	16.8080i	0.778335	−	0.695522i
$585$	0.0585885	+	0.754907i	0.00242234	+	0.0312116i
$586$	4.87088	−	45.7898i	0.201214	−	1.89156i
$587$	−20.2432	−	11.6874i	−0.835526	−	0.482391i	0.0202148	−	0.999796i	$-0.493565\pi$
$587$	−20.2432	−	11.6874i	−0.835526	−	0.482391i	−0.855741	+	0.517404i	$0.826898\pi$
$588$	20.6546	−	12.7038i	0.851782	−	0.523897i
$589$	−13.8983	+	8.02418i	−0.572669	+	0.330630i
$590$	7.84597	+	17.6821i	0.323014	+	0.727961i
$591$	12.7344	+	11.7844i	0.523823	+	0.484744i
$592$	−17.9647	+	39.8096i	−0.738344	+	1.63617i
$593$	36.4016	−	21.0165i	1.49483	−	0.863042i	0.494851	−	0.868978i	$-0.335223\pi$
$593$	36.4016	−	21.0165i	1.49483	−	0.863042i	0.999982	+	0.00593582i	$0.00188944\pi$
$594$	−8.37893	+	8.55173i	−0.343792	+	0.350882i
$595$	−9.33590	−	5.77509i	−0.382735	−	0.236755i
$596$	−0.127421	+	0.592149i	−0.00521938	+	0.0242554i
$597$	4.40152	+	14.2024i	0.180142	+	0.581266i
$598$	−0.283215	+	0.388784i	−0.0115815	+	0.0158985i
$599$		−	10.2621i		−	0.419297i	−0.977777	−	0.209649i	$-0.932768\pi$
$599$		−	10.2621i		−	0.419297i	0.977777	−	0.209649i	$-0.0672320\pi$
$600$	12.4649	−	20.7474i	0.508876	−	0.847010i
$601$	8.71209	+	5.02993i	0.355374	+	0.205175i	0.667049	−	0.745013i	$-0.267557\pi$
$601$	8.71209	+	5.02993i	0.355374	+	0.205175i	−0.311676	+	0.950188i	$0.600890\pi$
$602$	−34.2788	−	26.6013i	−1.39710	−	1.08419i
$603$	−1.44232	−	18.5841i	−0.0587356	−	0.756803i
$604$	−4.51707	−	4.08779i	−0.183797	−	0.166330i
$605$	−13.1563	−	22.7873i	−0.534878	−	0.926437i
$606$	10.0032	+	11.4479i	0.406351	+	0.465040i
$607$	14.8576	−	25.7342i	0.603053	−	1.04452i	−0.389303	−	0.921110i	$-0.627284\pi$
$607$	14.8576	−	25.7342i	0.603053	−	1.04452i	0.992356	−	0.123409i	$-0.0393826\pi$
$608$	19.8477	−	11.2934i	0.804929	−	0.458008i
$609$	13.1584	+	12.9404i	0.533204	+	0.524372i
$610$	21.5054	−	9.54248i	0.870730	−	0.386364i
$611$	0.0339781	+	0.0588519i	0.00137461	+	0.00238089i
$612$	−7.82472	−	1.05880i	−0.316296	−	0.0427994i
$613$	−15.1167	−	8.72763i	−0.610558	−	0.352506i	0.162626	−	0.986688i	$-0.448004\pi$
$613$	−15.1167	−	8.72763i	−0.610558	−	0.352506i	−0.773184	+	0.634182i	$0.781337\pi$
$614$	6.85412	−	9.40901i	0.276610	−	0.379717i
$615$	49.0546	+	45.3950i	1.97807	+	1.83050i
$616$	−7.84403	−	9.33374i	−0.316045	−	0.376067i
$617$	2.93147	+	5.07745i	0.118017	+	0.204411i	0.918982	−	0.394301i	$-0.129013\pi$
$617$	2.93147	+	5.07745i	0.118017	+	0.204411i	−0.800965	+	0.598711i	$0.795680\pi$
$618$	3.86911	−	11.3310i	0.155638	−	0.455800i
$619$	10.6563	−	6.15242i	0.428313	−	0.247286i	−0.270315	−	0.962772i	$-0.587128\pi$
$619$	10.6563	−	6.15242i	0.428313	−	0.247286i	0.698628	+	0.715486i	$0.253794\pi$
$620$	−24.5074	−	5.27362i	−0.984242	−	0.211794i
$621$	8.14749	+	20.5188i	0.326948	+	0.823391i
$622$	5.69224	+	4.14659i	0.228238	+	0.166263i
$623$	−13.1049	−	8.10655i	−0.525037	−	0.324782i
$624$	−0.510785	+	0.216090i	−0.0204478	+	0.00865050i
$625$	12.6467	−	21.9048i	0.505870	−	0.876192i
$626$	12.5716	−	17.2576i	0.502461	−	0.689754i
$627$	10.8811	−	3.37219i	0.434548	−	0.134672i
$628$	−7.44880	−	23.1226i	−0.297240	−	0.922692i
$629$	−14.3693			−0.572940
$630$	−19.4689	+	29.5546i	−0.775660	+	1.17748i
$631$		−	27.5446i		−	1.09653i	−0.836304	−	0.548266i	$-0.815288\pi$
$631$		−	27.5446i		−	1.09653i	0.836304	−	0.548266i	$-0.184712\pi$
$632$	39.0632	+	12.8554i	1.55385	+	0.511360i
$633$	9.59079	+	2.17564i	0.381200	+	0.0864741i
$634$	20.6788	−	28.3868i	0.821259	−	1.12738i
$635$	52.2806	+	30.1842i	2.07469	+	1.19782i
$636$	−10.6405	−	15.1540i	−0.421924	−	0.600895i
$637$	0.559327	+	0.0340233i	0.0221614	+	0.00134805i
$638$	5.46361	−	7.50017i	0.216306	−	0.296935i
$639$	14.9356	−	1.15915i	0.590842	−	0.0458553i
$640$	34.8246	+	7.72294i	1.37656	+	0.305276i
$641$	16.4201	+	28.4405i	0.648556	+	1.12333i	0.983468	+	0.181083i	$0.0579602\pi$
$641$	16.4201	+	28.4405i	0.648556	+	1.12333i	−0.334912	+	0.942250i	$0.608706\pi$
$642$	−20.3567	−	23.2968i	−0.803415	−	0.919451i
$643$	−4.33664	+	2.50376i	−0.171021	+	0.0987388i	−0.583067	−	0.812424i	$-0.698147\pi$
$643$	−4.33664	+	2.50376i	−0.171021	+	0.0987388i	0.412046	+	0.911163i	$0.364814\pi$
$644$	−21.5989	+	6.24054i	−0.851114	+	0.245912i
$645$	61.7579	+	14.0096i	2.43172	+	0.551628i
$646$	6.07258	+	4.42366i	0.238923	+	0.174046i
$647$	−21.3640	+	37.0035i	−0.839905	+	1.45476i	0.0500677	+	0.998746i	$0.484056\pi$
$647$	−21.3640	+	37.0035i	−0.839905	+	1.45476i	−0.889973	+	0.456013i	$0.849277\pi$
$648$	−4.13143	+	25.1183i	−0.162298	+	0.986742i
$649$	−6.12146	+	3.53423i	−0.240288	+	0.138731i
$650$	0.511255	−	0.226856i	0.0200531	−	0.00889802i
$651$	17.6360	+	4.56805i	0.691208	+	0.179036i
$652$	−19.6817	+	21.7486i	−0.770795	+	0.851741i
$653$	−31.6123	−	18.2514i	−1.23708	−	0.714231i	−0.268588	−	0.963255i	$-0.586557\pi$
$653$	−31.6123	−	18.2514i	−1.23708	−	0.714231i	−0.968497	+	0.249024i	$0.919890\pi$
$654$	26.7624	+	9.13834i	1.04649	+	0.357337i
$655$	−51.1210	+	29.5147i	−1.99746	+	1.15324i
$656$	−20.1366	+	44.6227i	−0.786204	+	1.74222i
$657$	11.5446	−	24.1363i	0.450397	−	0.941647i
$658$	−0.431760	+	3.14683i	−0.0168318	+	0.122676i
$659$	4.57831	−	7.92986i	0.178346	−	0.308903i	−0.762968	−	0.646436i	$-0.776259\pi$
$659$	4.57831	−	7.92986i	0.178346	−	0.308903i	0.941314	+	0.337532i	$0.109592\pi$
$660$	16.1370	+	7.49911i	0.628130	+	0.291902i
$661$	5.84883			0.227493			0.113747	−	0.993510i	$-0.463715\pi$
$661$	5.84883			0.227493			0.113747	+	0.993510i	$0.463715\pi$
$662$	0.877150	+	0.638972i	0.0340914	+	0.0248344i
$663$	−0.133924	−	0.123933i	−0.00520116	−	0.00481314i
$664$	−5.70989	+	5.10236i	−0.221587	+	0.198010i
$665$	29.6605	−	15.9435i	1.15019	−	0.618263i
$666$	−1.32106	+	46.3059i	−0.0511901	+	1.79432i
$667$	−8.55545	−	14.8185i	−0.331269	−	0.573774i
$668$	−0.0640197	+	0.0707428i	−0.00247700	+	0.00273712i
$669$	−7.02604	−	22.6710i	−0.271642	−	0.876510i
$670$	−25.3232	+	11.2365i	−0.978320	+	0.434104i
$671$	4.29842	+	7.44509i	0.165939	+	0.287414i
$672$	−25.0535	−	6.65756i	−0.966459	−	0.256821i
$673$	−12.9937	+	22.5058i	−0.500872	+	0.867536i	0.499128	+	0.866529i	$0.333654\pi$
$673$	−12.9937	+	22.5058i	−0.500872	+	0.867536i	−0.999999	+	0.00100715i	$0.999679\pi$
$674$	−0.0758170	+	0.712735i	−0.00292036	+	0.0274535i
$675$	3.72510	−	25.4004i	0.143379	−	0.977662i
$676$	25.4056	+	5.46690i	0.977140	+	0.210265i
$677$	4.94364			0.190000			0.0949998	−	0.995477i	$-0.469715\pi$
$677$	4.94364			0.190000			0.0949998	+	0.995477i	$0.469715\pi$
$678$	8.34541	+	9.55072i	0.320504	+	0.366793i
$679$	1.40254	−	46.1569i	0.0538246	−	1.77134i
$680$	2.39670	+	11.4884i	0.0919093	+	0.440558i
$681$	5.04566	−	22.2426i	0.193350	−	0.852336i
$682$	0.968914	−	9.10850i	0.0371016	−	0.348782i
$683$	12.1201	−	20.9926i	0.463762	−	0.803260i	−0.535382	−	0.844610i	$-0.679832\pi$
$683$	12.1201	−	20.9926i	0.463762	−	0.803260i	0.999145	+	0.0413497i	$0.0131658\pi$
$684$	14.8138	−	19.1626i	0.566421	−	0.732701i
$685$	−21.9200			−0.837519
$686$	19.6788	+	17.2842i	0.751340	+	0.659915i
$687$	2.50301	+	8.07648i	0.0954959	+	0.308137i
$688$	4.61669	+	46.1552i	0.176010	+	1.75965i
$689$		−	0.427898i		−	0.0163016i
$690$	24.7089	−	21.5906i	0.940652	−	0.821940i
$691$			26.6014i			1.01197i	0.862544	+	0.505983i	$0.168870\pi$
$691$			26.6014i			1.01197i	−0.862544	+	0.505983i	$0.831130\pi$
$692$	−13.1970	−	40.9660i	−0.501673	−	1.55730i
$693$	−11.4910	−	5.93164i	−0.436509	−	0.225324i
$694$	−18.6629	−	13.5953i	−0.708434	−	0.516069i
$695$			42.8438i			1.62516i
$696$	0.343312	−	19.7265i	0.0130132	−	0.747732i
$697$	−16.1065			−0.610078
$698$	−16.2440	+	7.20787i	−0.614846	+	0.272822i
$699$	−6.53218	−	1.48181i	−0.247070	−	0.0560471i
$700$	25.3793	+	6.27344i	0.959248	+	0.237114i
$701$		−	5.20314i		−	0.196520i	−0.995161	−	0.0982600i	$-0.968672\pi$
$701$		−	5.20314i		−	0.196520i	0.995161	−	0.0982600i	$-0.0313277\pi$
$702$	−0.411693	+	0.420184i	−0.0155384	+	0.0158588i
$703$	22.0387	−	38.1722i	0.831207	−	1.43969i
$704$	−1.46010	+	12.9519i	−0.0550295	+	0.488142i
$705$	−1.37231	−	4.42805i	−0.0516842	−	0.166770i
$706$	−22.0930	−	2.35014i	−0.831481	−	0.0884486i
$707$	−8.63846	+	13.9648i	−0.324883	+	0.525199i
$708$	−6.33372	+	13.6292i	−0.238036	+	0.512217i
$709$		−	21.8206i		−	0.819490i	−0.912200	−	0.409745i	$-0.865618\pi$
$709$		−	21.8206i		−	0.819490i	0.912200	−	0.409745i	$-0.134382\pi$
$710$	−9.03049	−	20.3516i	−0.338908	−	0.763782i
$711$	43.4879	−	3.37511i	1.63092	−	0.126576i
$712$	3.36427	+	16.1263i	0.126081	+	0.604359i
$713$	−14.6279	−	8.44545i	−0.547821	−	0.316284i
$714$	−1.39390	−	8.41401i	−0.0521655	−	0.314886i
$715$	0.205604	+	0.356116i	0.00768915	+	0.0133180i
$716$	−31.4944	−	6.77710i	−1.17700	−	0.253272i
$717$	9.49400	−	41.8520i	0.354560	−	1.56299i
$718$	31.9531	+	3.39900i	1.19248	+	0.126850i
$719$	1.57964	+	2.73601i	0.0589105	+	0.102036i	0.893977	−	0.448114i	$-0.147904\pi$
$719$	1.57964	+	2.73601i	0.0589105	+	0.102036i	−0.835066	+	0.550150i	$0.814571\pi$
$720$	37.2424	−	6.66733i	1.38794	−	0.248477i
$721$	12.9268	+	0.392798i	0.481418	+	0.0146285i
$722$	3.49542	−	1.55100i	0.130086	−	0.0577222i
$723$	0.333267	−	1.46913i	0.0123943	−	0.0546374i
$724$	−10.6304	−	32.9989i	−0.395075	−	1.22639i
$725$			19.8971i			0.738961i
$726$	6.60581	−	19.3457i	0.245165	−	0.717986i
$727$	−1.42958	+	2.47610i	−0.0530201	+	0.0918335i	−0.891317	−	0.453380i	$-0.850218\pi$
$727$	−1.42958	+	2.47610i	−0.0530201	+	0.0918335i	0.838297	+	0.545213i	$0.183551\pi$
$728$	−0.385412	−	0.458607i	−0.0142843	−	0.0169971i
$729$	6.21754	+	26.2744i	0.230279	+	0.973125i
$730$	−39.5425	−	4.20632i	−1.46353	−	0.155683i
$731$	−13.2163	+	7.63044i	−0.488823	+	0.282222i
$732$	16.5762	+	7.70323i	0.612674	+	0.284720i
$733$	−15.2324	+	26.3833i	−0.562622	+	0.974490i	0.434645	+	0.900602i	$0.356874\pi$
$733$	−15.2324	+	26.3833i	−0.562622	+	0.974490i	−0.997267	+	0.0738877i	$0.976459\pi$
$734$	−1.12755	+	10.5998i	−0.0416186	+	0.391245i
$735$	−36.6971	−	10.7046i	−1.35359	−	0.394845i
$736$	20.7387	+	12.1478i	0.764438	+	0.447775i
$737$	−5.06150	−	8.76677i	−0.186443	−	0.322928i
$738$	−1.48078	+	51.9043i	−0.0545083	+	1.91063i
$739$	14.2279	−	24.6434i	0.523380	−	0.906521i	−0.476250	−	0.879310i	$-0.658004\pi$
$739$	14.2279	−	24.6434i	0.523380	−	0.906521i	0.999630	−	0.0272108i	$-0.00866253\pi$
$740$	65.5348	−	21.1116i	2.40911	−	0.776079i
$741$	0.534634	−	0.165690i	0.0196403	−	0.00608678i
$742$	12.2617	−	15.8006i	0.450141	−	0.580058i
$743$	−24.3731	+	14.0718i	−0.894164	+	0.516246i	−0.875302	−	0.483576i	$-0.839338\pi$
$743$	−24.3731	+	14.0718i	−0.894164	+	0.516246i	−0.0188617	+	0.999822i	$0.506004\pi$
$744$	−9.44295	−	17.0335i	−0.346195	−	0.624477i
$745$	0.826927	−	0.477427i	0.0302963	−	0.0174916i
$746$	−16.4200	−	37.0050i	−0.601179	−	1.35485i
$747$	−3.50455	+	7.32698i	−0.128225	+	0.268080i
$748$	−4.08161	+	1.31487i	−0.149239	+	0.0480763i
$749$	17.5795	−	28.4187i	0.642340	−	1.03840i
$750$	0.450100	−	0.0886891i	0.0164353	−	0.00323847i
$751$	−17.4414	−	10.0698i	−0.636444	−	0.367451i	0.146799	−	0.989166i	$-0.453103\pi$
$751$	−17.4414	−	10.0698i	−0.636444	−	0.367451i	−0.783243	+	0.621715i	$0.786436\pi$
$752$	2.75711	−	1.98207i	0.100542	−	0.0722785i
$753$	8.00713	+	7.40978i	0.291796	+	0.270027i
$754$	0.268451	−	0.368516i	0.00977640	−	0.0134206i
$755$			9.60384i			0.349520i
$756$	−27.2429	+	3.71839i	−0.990813	+	0.135237i
$757$			14.6951i			0.534104i	0.963682	+	0.267052i	$0.0860496\pi$
$757$			14.6951i			0.534104i	−0.963682	+	0.267052i	$0.913950\pi$
$758$	17.2159	+	12.5411i	0.625308	+	0.455515i
$759$	8.79988	+	8.14338i	0.319415	+	0.295586i
$760$	−34.1950	−	11.2533i	−1.24038	−	0.408200i
$761$	32.7523	+	18.9095i	1.18727	+	0.685470i	0.957685	−	0.287818i	$-0.0929300\pi$
$761$	32.7523	+	18.9095i	1.18727	+	0.685470i	0.229584	+	0.973289i	$0.426263\pi$
$762$	9.06711	+	46.0159i	0.328467	+	1.66698i
$763$	−0.927738	+	30.5314i	−0.0335864	+	1.10531i
$764$	4.35577	−	1.40318i	0.157586	−	0.0507654i
$765$	7.03926	+	10.2660i	0.254505	+	0.371169i
$766$	−11.5707	+	5.13418i	−0.418065	+	0.185505i
$767$	−0.300774	+	0.173652i	−0.0108603	+	0.00627021i
$768$	13.2842	+	24.3214i	0.479351	+	0.877623i
$769$	30.8752	−	17.8258i	1.11339	−	0.642815i	0.173683	−	0.984802i	$-0.444433\pi$
$769$	30.8752	−	17.8258i	1.11339	−	0.642815i	0.939705	+	0.341987i	$0.111100\pi$
$770$	−2.61261	+	19.0417i	−0.0941518	+	0.686215i
$771$	12.5738	−	3.89679i	0.452834	−	0.140339i
$772$	14.0191	+	43.5181i	0.504558	+	1.56625i
$773$	−9.35820	+	16.2089i	−0.336591	+	0.582993i	−0.983789	−	0.179329i	$-0.942607\pi$
$773$	−9.35820	+	16.2089i	−0.336591	+	0.582993i	0.647198	+	0.762322i	$0.275941\pi$
$774$	23.3746	+	43.2920i	0.840181	+	1.55610i
$775$	9.82064	+	17.0099i	0.352768	+	0.611012i
$776$	−36.8107	+	32.8941i	−1.32143	+	1.18083i
$777$	−48.2216	+	13.3535i	−1.72994	+	0.479054i
$778$	−5.01086	−	0.533029i	−0.179648	−	0.0191100i
$779$	24.7033	−	42.7873i	0.885086	−	1.53301i
$780$	0.792879	+	0.368464i	0.0283896	+	0.0131931i
$781$	7.04563	−	4.06780i	0.252112	−	0.145557i
$782$	−0.836431	+	7.86306i	−0.0299107	+	0.281182i
$783$	−7.72276	−	19.4492i	−0.275989	−	0.695056i
$784$	−1.09004	−	27.9788i	−0.0389300	−	0.999242i
$785$	−19.1480	+	33.1653i	−0.683422	+	1.18372i
$786$	−43.4001	−	14.8195i	−1.54803	−	0.528592i
$787$		−	42.3204i		−	1.50856i	−0.656552	−	0.754280i	$-0.727986\pi$
$787$		−	42.3204i		−	1.50856i	0.656552	−	0.754280i	$-0.272014\pi$
$788$	19.0695	−	6.14310i	0.679321	−	0.218839i
$789$	−10.2219	+	45.0607i	−0.363909	+	1.60420i
$790$	−26.2941	−	59.2578i	−0.935502	−	2.10830i
$791$	−7.20686	+	11.6505i	−0.256246	+	0.414243i
$792$	3.86199	+	13.2742i	0.137230	+	0.471677i
$793$	0.211200	+	0.365810i	0.00749994	+	0.0129903i
$794$	−1.56620	+	14.7234i	−0.0555822	+	0.522513i
$795$	−6.45765	+	28.4670i	−0.229029	+	1.00962i
$796$	16.7848	+	3.61183i	0.594922	+	0.128018i
$797$	−1.88556	−	3.26589i	−0.0667901	−	0.115684i	0.830697	−	0.556725i	$-0.187942\pi$
$797$	−1.88556	−	3.26589i	−0.0667901	−	0.115684i	−0.897487	+	0.441042i	$0.854609\pi$
$798$	24.4899	+	9.20199i	0.866932	+	0.325747i
$799$	0.967493	+	0.558582i	0.0342274	+	0.0197612i
$800$	−13.8218	−	24.2912i	−0.488674	−	0.858824i
$801$	9.88107	+	14.4105i	0.349131	+	0.509171i
$802$	9.91413	−	4.39914i	0.350080	−	0.155339i
$803$		−	14.5302i		−	0.512759i
$804$	−19.5189	−	9.07074i	−0.688378	−	0.319900i
$805$	30.1412	+	18.6450i	1.06234	+	0.657151i
$806$	0.0476070	−	0.447540i	0.00167688	−	0.0157639i
$807$	−3.94739	−	12.7371i	−0.138955	−	0.448366i
$808$	17.1844	−	3.58502i	0.604547	−	0.126121i
$809$	−4.06036	+	7.03274i	−0.142755	+	0.247258i	−0.928533	−	0.371250i	$-0.878929\pi$
$809$	−4.06036	+	7.03274i	−0.142755	+	0.247258i	0.785778	+	0.618508i	$0.212263\pi$
$810$	33.7301	−	21.7407i	1.18516	−	0.763889i
$811$			18.0366i			0.633350i	0.948534	+	0.316675i	$0.102566\pi$
$811$			18.0366i			0.633350i	−0.948534	+	0.316675i	$0.897434\pi$
$812$	20.4729	−	5.91522i	0.718458	−	0.207583i
$813$	−10.5050	−	2.38303i	−0.368426	−	0.0835765i
$814$	10.2038	+	22.9958i	0.357643	+	0.806003i
$815$	46.2402			1.61972
$816$	−5.49585	+	7.27498i	−0.192393	+	0.254675i
$817$		−	46.8126i		−	1.63776i
$818$	10.7717	−	14.7869i	0.376625	−	0.517013i
$819$	−0.564605	−	0.291447i	−0.0197289	−	0.0101840i
$820$	73.4581	−	23.6641i	2.56527	−	0.826385i
$821$			49.9486i			1.74322i	0.490202	+	0.871609i	$0.336923\pi$
$821$			49.9486i			1.74322i	−0.490202	+	0.871609i	$0.663077\pi$
$822$	−11.2055	−	12.8239i	−0.390836	−	0.447283i
$823$		−	14.0138i		−	0.488491i	−0.969713	−	0.244246i	$-0.921460\pi$
$823$		−	14.0138i		−	0.488491i	0.969713	−	0.244246i	$-0.0785403\pi$
$824$	−9.21238	−	10.3093i	−0.320929	−	0.359141i
$825$	−4.12716	−	13.3171i	−0.143689	−	0.463643i
$826$	−16.0825	−	2.20660i	−0.559582	−	0.0767773i
$827$	−35.7576			−1.24341			−0.621707	−	0.783250i	$-0.713561\pi$
$827$	−35.7576			−1.24341			−0.621707	+	0.783250i	$0.713561\pi$
$828$	25.2623	+	3.41836i	0.877927	+	0.118796i
$829$	22.6167	−	39.1733i	0.785512	−	1.36055i	−0.143181	−	0.989697i	$-0.545733\pi$
$829$	22.6167	−	39.1733i	0.785512	−	1.36055i	0.928693	−	0.370850i	$-0.120934\pi$
$830$	12.0038	+	1.27690i	0.416658	+	0.0443219i
$831$	−1.36510	+	6.01769i	−0.0473546	+	0.208751i
$832$	−0.0717409	+	0.636382i	−0.00248717	+	0.0220626i
$833$	8.24280	−	4.11313i	0.285596	−	0.142512i
$834$	−25.0649	+	21.9017i	−0.867927	+	0.758394i
$835$	0.150408			0.00520507
$836$	2.76718	−	12.8596i	0.0957048	−	0.444757i
$837$	−16.2016	−	12.8152i	−0.560011	−	0.442957i
$838$	43.4220	+	4.61900i	1.49999	+	0.159561i
$839$	−10.0994	+	17.4927i	−0.348671	+	0.603915i	−0.986014	−	0.166665i	$-0.946700\pi$
$839$	−10.0994	+	17.4927i	−0.348671	+	0.603915i	0.637343	+	0.770580i	$0.280033\pi$
$840$	18.7193	+	36.3264i	0.645878	+	1.25338i
$841$	−6.39054	−	11.0687i	−0.220364	−	0.381681i
$842$	0.0195462	+	0.0440503i	0.000673606	+	0.00151807i
$843$	−6.53885	−	21.0989i	−0.225210	−	0.726686i
$844$	7.61974	−	8.41993i	0.262282	−	0.289826i
$845$	−20.4836	−	35.4786i	−0.704656	−	1.22050i
$846$	1.88902	−	3.06646i	0.0649458	−	0.105427i
$847$	22.0701	+	0.670632i	0.758339	+	0.0230432i
$848$	−21.2750	+	2.12804i	−0.730585	+	0.0730771i
$849$	−34.1091	−	31.5644i	−1.17062	−	1.08329i
$850$	5.41403	−	7.43212i	0.185700	−	0.254920i
$851$	46.3915			1.59028
$852$	7.28993	−	15.6868i	0.249749	−	0.537422i
$853$	2.30945	−	4.00008i	0.0790740	−	0.136960i	−0.823777	−	0.566915i	$-0.808137\pi$
$853$	2.30945	−	4.00008i	0.0790740	−	0.136960i	0.902851	+	0.429954i	$0.141470\pi$
$854$	−2.68372	+	19.5600i	−0.0918351	+	0.669329i
$855$	−38.0683	+	2.95449i	−1.30191	+	0.101041i
$856$	−34.9708	+	7.29561i	−1.19528	+	0.249359i
$857$	−18.6265	+	10.7540i	−0.636270	+	0.367351i	−0.783176	−	0.621800i	$-0.786402\pi$
$857$	−18.6265	+	10.7540i	−0.636270	+	0.367351i	0.146906	+	0.989150i	$0.453068\pi$
$858$	−0.103234	+	0.302331i	−0.00352436	+	0.0103214i
$859$	−24.5803	−	14.1914i	−0.838668	−	0.484205i	0.0181430	−	0.999835i	$-0.494225\pi$
$859$	−24.5803	−	14.1914i	−0.838668	−	0.484205i	−0.856811	+	0.515630i	$0.827558\pi$
$860$	49.0657	−	54.2184i	1.67313	−	1.84883i
$861$	−54.0517	+	14.9680i	−1.84208	+	0.510107i
$862$	0.0901636	+	0.203197i	0.00307098	+	0.00692093i
$863$	−20.2470	+	11.6896i	−0.689216	+	0.397919i	−0.803318	−	0.595550i	$-0.796934\pi$
$863$	−20.2470	+	11.6896i	−0.689216	+	0.397919i	0.114102	+	0.993469i	$0.463601\pi$
$864$	22.9389	+	18.3796i	0.780396	+	0.625286i
$865$	−33.9243	+	58.7586i	−1.15346	+	1.99785i
$866$	17.4640	−	23.9737i	0.593451	−	0.814661i
$867$	25.7899	+	5.85037i	0.875872	+	0.198689i
$868$	14.5825	−	15.1617i	0.494962	−	0.514621i
$869$	20.5148	−	11.8442i	0.695916	−	0.401787i
$870$	−23.4208	+	20.4651i	−0.794040	+	0.693831i
$871$	−0.248693	−	0.430750i	−0.00842665	−	0.0145954i
$872$	24.3492	−	21.7585i	0.824568	−	0.736835i
$873$	−22.5933	+	47.2359i	−0.764668	+	1.59869i
$874$	−19.6055	−	14.2819i	−0.663166	−	0.483093i
$875$	0.234608	+	0.436453i	0.00793120	+	0.0147548i
$876$	−17.7533	−	25.2838i	−0.599827	−	0.854262i
$877$	−37.5397	−	21.6736i	−1.26763	−	0.731865i	−0.293089	−	0.956085i	$-0.594683\pi$
$877$	−37.5397	−	21.6736i	−1.26763	−	0.731865i	−0.974538	+	0.224220i	$0.928016\pi$
$878$	−20.6202	−	15.0211i	−0.695899	−	0.506937i
$879$	−54.9999	−	12.4766i	−1.85510	−	0.420824i
$880$	16.6835	−	11.9936i	0.562399	−	0.404304i
$881$			25.2180i			0.849616i	0.905284	+	0.424808i	$0.139658\pi$
$881$			25.2180i			0.849616i	−0.905284	+	0.424808i	$0.860342\pi$
$882$	−12.4970	−	26.9411i	−0.420797	−	0.907155i
$883$	0.109495			0.00368482			0.00184241	−	0.999998i	$-0.499414\pi$
$883$	0.109495			0.00368482			0.00184241	+	0.999998i	$0.499414\pi$
$884$	−0.200547	+	0.0646051i	−0.00674514	+	0.00217290i
$885$	22.6304	−	7.01347i	0.760713	−	0.235755i
$886$	24.3475	+	17.7363i	0.817970	+	0.595862i
$887$	10.6962	−	18.5264i	0.359144	−	0.622056i	−0.628674	−	0.777669i	$-0.716402\pi$
$887$	10.6962	−	18.5264i	0.359144	−	0.622056i	0.987818	+	0.155613i	$0.0497353\pi$
$888$	45.8523	+	27.5476i	1.53870	+	0.924438i
$889$	−44.6206	+	23.9851i	−1.49653	+	0.804434i
$890$	15.2908	−	20.9905i	0.512550	−	0.703604i
$891$	9.20307	+	11.4154i	0.308315	+	0.382430i
$892$	−26.7932	−	5.76548i	−0.897103	−	0.193043i
$893$	−2.96777	+	1.71344i	−0.0993127	+	0.0573382i
$894$	0.702034	+	0.239718i	0.0234795	+	0.00801735i
$895$	25.3927	+	43.9814i	0.848783	+	1.47014i
$896$	−20.8851	+	21.4433i	−0.697721	+	0.716370i
$897$	0.432376	+	0.400120i	0.0144366	+	0.0133596i
$898$	−39.8257	−	29.0116i	−1.32900	−	0.968130i
$899$	13.8654	+	8.00518i	0.462436	+	0.266988i
$900$	−23.4528	−	18.1304i	−0.781759	−	0.604346i
$901$	−3.51721	−	6.09198i	−0.117175	−	0.202953i
$902$	11.4375	+	25.7761i	0.380826	+	0.858249i
$903$	−37.2615	+	37.8890i	−1.23998	+	1.26087i
$904$	14.3366	−	2.99090i	0.476827	−	0.0994757i
$905$	−27.3266	+	47.3311i	−0.908368	+	1.57334i
$906$	−5.61854	+	4.90948i	−0.186664	+	0.163106i
$907$	−21.8295	−	37.8098i	−0.724836	−	1.25545i	−0.959041	−	0.283266i	$-0.908582\pi$
$907$	−21.8295	−	37.8098i	−0.724836	−	1.25545i	0.234206	−	0.972187i	$-0.424751\pi$
$908$	−19.5271	−	17.6714i	−0.648031	−	0.586445i
$909$	15.3561	−	10.5294i	0.509328	−	0.349239i
$910$	−0.128369	+	0.935601i	−0.00425538	+	0.0310149i
$911$	40.4047	+	23.3277i	1.33867	+	0.772880i	0.986610	−	0.163099i	$-0.0521489\pi$
$911$	40.4047	+	23.3277i	1.33867	+	0.772880i	0.352057	+	0.935978i	$0.385482\pi$
$912$	−10.8969	−	25.7578i	−0.360833	−	0.852926i
$913$			4.41088i			0.145979i
$914$	4.52289	+	3.29476i	0.149604	+	0.108981i
$915$	−8.52997	−	27.5237i	−0.281992	−	0.909906i
$916$	9.54503	+	2.05394i	0.315377	+	0.0678641i
$917$	1.50449	−	49.5121i	0.0496828	−	1.63503i
$918$	−2.40748	+	9.36616i	−0.0794586	+	0.309129i
$919$	26.1413	−	15.0927i	0.862323	−	0.497862i	−0.00246672	−	0.999997i	$-0.500785\pi$
$919$	26.1413	−	15.0927i	0.862323	−	0.497862i	0.864789	+	0.502135i	$0.167452\pi$
$920$	−7.73782	−	37.0905i	−0.255108	−	1.22284i
$921$	−10.4640	−	9.68335i	−0.344801	−	0.319077i
$922$	−31.4016	+	13.9336i	−1.03416	+	0.458880i
$923$	0.346183	−	0.199869i	0.0113947	−	0.00657875i
$924$	−12.4755	+	8.20564i	−0.410415	+	0.269946i
$925$	−46.7183	−	26.9728i	−1.53609	−	0.886860i
$926$	14.2347	+	1.51421i	0.467781	+	0.0497600i
$927$	−13.2290	−	6.32752i	−0.434496	−	0.207823i
$928$	−19.6576	−	11.5146i	−0.645291	−	0.377984i
$929$		−	40.8824i		−	1.34131i	−0.741771	−	0.670653i	$-0.766014\pi$
$929$		−	40.8824i		−	1.34131i	0.741771	−	0.670653i	$-0.233986\pi$
$930$	−9.92125	+	29.0552i	−0.325330	+	0.952758i
$931$	−1.71572	+	28.2057i	−0.0562304	+	0.924403i
$932$	−5.18972	+	5.73472i	−0.169995	+	0.187847i
$933$	5.85821	−	6.33049i	0.191789	−	0.207251i
$934$	−4.01525	−	0.427122i	−0.131383	−	0.0139758i
$935$	5.85436	+	3.38002i	0.191458	+	0.110538i
$936$	0.189757	+	0.652217i	0.00620239	+	0.0213184i
$937$		−	2.09716i		−	0.0685113i	−0.999413	−	0.0342556i	$-0.989094\pi$
$937$		−	2.09716i		−	0.0685113i	0.999413	−	0.0342556i	$-0.0109060\pi$
$938$	3.16015	−	23.0324i	0.103182	−	0.752033i
$939$	−19.1927	−	17.7608i	−0.626329	−	0.579603i
$940$	−5.23319	−	1.12610i	−0.170688	−	0.0367294i
$941$	−35.9990			−1.17354			−0.586768	−	0.809755i	$-0.699600\pi$
$941$	−35.9990			−1.17354			−0.586768	+	0.809755i	$0.699600\pi$
$942$	−29.1912	+	5.75191i	−0.951100	+	0.187408i
$943$	52.0004			1.69336
$944$	10.1297	+	14.0908i	0.329695	+	0.458616i
$945$	33.1633	+	27.9100i	1.07880	+	0.907912i
$946$	21.5965	+	15.7322i	0.702162	+	0.511499i
$947$	25.0978			0.815568			0.407784	−	0.913078i	$-0.366302\pi$
$947$	25.0978			0.815568			0.407784	+	0.913078i	$0.366302\pi$
$948$	21.2261	−	45.6754i	0.689391	−	1.48347i
$949$		−	0.713931i		−	0.0231752i
$950$	11.4398	+	25.7815i	0.371158	+	0.836461i
$951$	−31.5697	−	29.2145i	−1.02372	−	0.947345i
$952$	−9.25673	−	3.36121i	−0.300012	−	0.108937i
$953$	15.8364			0.512990			0.256495	−	0.966546i	$-0.417432\pi$
$953$	15.8364			0.512990			0.256495	+	0.966546i	$0.417432\pi$
$954$	−19.9552	+	10.7744i	−0.646073	+	0.348833i
$955$	−6.24759	−	3.60705i	−0.202167	−	0.116721i
$956$	−36.7426	−	33.2507i	−1.18834	−	1.07541i
$957$	−8.34114	−	7.71886i	−0.269631	−	0.249515i
$958$	−5.07423	+	47.7015i	−0.163941	+	1.54116i
$959$	9.67673	−	15.6432i	0.312478	−	0.505146i
$960$	14.3767	−	41.2541i	0.464007	−	1.33147i
$961$	−15.1955			−0.490177
$962$	0.501357	+	1.12989i	0.0161644	+	0.0364290i
$963$	−31.2500	+	21.4276i	−1.00702	+	0.690496i
$964$	−1.28977	−	1.16720i	−0.0415408	−	0.0375930i
$965$	36.0377	−	62.4191i	1.16009	−	2.00934i
$966$	4.50026	+	27.1649i	0.144793	+	0.874015i
$967$	−43.8994	+	25.3454i	−1.41171	+	0.815052i	−0.995550	−	0.0942394i	$-0.969958\pi$
$967$	−43.8994	+	25.3454i	−1.41171	+	0.815052i	−0.416161	+	0.909291i	$0.636625\pi$
$968$	−15.7285	−	17.6012i	−0.505533	−	0.565725i
$969$	6.24965	−	6.75348i	0.200768	−	0.216953i
$970$	77.3866	+	8.23198i	2.48473	+	0.264313i
$971$	−12.7651	+	7.36992i	−0.409651	+	0.236512i	−0.690640	−	0.723199i	$-0.742671\pi$
$971$	−12.7651	+	7.36992i	−0.409651	+	0.236512i	0.280989	+	0.959711i	$0.409338\pi$
$972$	29.9618	+	8.61935i	0.961024	+	0.276466i
$973$	−30.5755	−	18.9137i	−0.980206	−	0.606345i
$974$	−18.1159	−	40.8270i	−0.580471	−	1.30818i
$975$	−0.202785	−	0.654328i	−0.00649433	−	0.0209553i
$976$	17.1376	−	12.3201i	0.548561	−	0.394356i
$977$	−31.5328			−1.00882			−0.504412	−	0.863463i	$-0.668291\pi$
$977$	−31.5328			−1.00882			−0.504412	+	0.863463i	$0.668291\pi$
$978$	23.6379	+	27.0519i	0.755858	+	0.865025i
$979$	8.21782	+	4.74456i	0.262643	+	0.151637i
$980$	−31.5504	+	30.8696i	−1.00784	+	0.986092i
$981$	14.9448	−	31.2451i	0.477150	−	0.997580i
$982$	−4.16596	+	39.1631i	−0.132941	+	1.24974i
$983$	24.5033	+	42.4409i	0.781532	+	1.35365i	0.931049	+	0.364895i	$0.118895\pi$
$983$	24.5033	+	42.4409i	0.781532	+	1.35365i	−0.149516	+	0.988759i	$0.547772\pi$
$984$	51.3959	+	30.8782i	1.63844	+	0.984361i
$985$	−27.3518	−	15.7916i	−0.871500	−	0.503161i
$986$	0.792827	−	7.45315i	0.0252488	−	0.237357i
$987$	3.76590	+	0.975439i	0.119870	+	0.0310486i
$988$	0.135963	−	0.631846i	0.00432557	−	0.0201017i
$989$	42.6693	−	24.6351i	1.35680	−	0.783351i
$990$	11.4306	−	18.5553i	0.363287	−	0.589727i
$991$	−1.40027	−	0.808447i	−0.0444811	−	0.0256812i	0.477595	−	0.878580i	$-0.341509\pi$
$991$	−1.40027	−	0.808447i	−0.0444811	−	0.0256812i	−0.522076	+	0.852899i	$0.674842\pi$
$992$	−22.4883	−	0.141281i	−0.714005	−	0.00448568i
$993$	0.902726	−	0.975501i	0.0286471	−	0.0309566i
$994$	18.5105	+	2.53973i	0.587118	+	0.0805553i
$995$	−13.5329	−	23.4397i	−0.429023	−	0.743089i
$996$	5.38930	+	7.67534i	0.170767	+	0.243202i
$997$	22.0008	+	38.1064i	0.696771	+	1.20684i	0.969580	+	0.244774i	$0.0787139\pi$
$997$	22.0008	+	38.1064i	0.696771	+	1.20684i	−0.272809	+	0.962068i	$0.587953\pi$
$998$	−13.3648	+	5.93028i	−0.423055	+	0.187720i
$999$	56.1355	+	8.23255i	1.77605	+	0.260466i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	504.2.bf.b.115.19	✓	180
7.5	odd	6		504.2.cz.b.187.43	yes	180
8.3	odd	2	inner	504.2.bf.b.115.20	yes	180
9.4	even	3		504.2.cz.b.283.78	yes	180
56.19	even	6		504.2.cz.b.187.78	yes	180
63.40	odd	6	inner	504.2.bf.b.355.19	yes	180
72.67	odd	6		504.2.cz.b.283.43	yes	180
504.355	even	6	inner	504.2.bf.b.355.20	yes	180

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
504.2.bf.b.115.19	✓	180	1.1	even	1	trivial
504.2.bf.b.115.20	yes	180	8.3	odd	2	inner
504.2.bf.b.355.19	yes	180	63.40	odd	6	inner
504.2.bf.b.355.20	yes	180	504.355	even	6	inner
504.2.cz.b.187.43	yes	180	7.5	odd	6
504.2.cz.b.187.78	yes	180	56.19	even	6
504.2.cz.b.283.43	yes	180	72.67	odd	6
504.2.cz.b.283.78	yes	180	9.4	even	3

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:	\( N \)	\(=\)	\( 504 = 2^{3} \cdot 3^{2} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	504.bf (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.14308 - 0.832691i) q^{2} +(-1.17641 + 1.27125i) q^{3} +(0.613252 + 1.90366i) q^{4} +(1.57644 - 2.73047i) q^{5} +(2.40328 - 0.473549i) q^{6} +(1.25267 + 2.33041i) q^{7} +(0.884165 - 2.68668i) q^{8} +(-0.232133 - 2.99101i) q^{9} +O(q^{10})\)	\(q+(-1.14308 - 0.832691i) q^{2} +(-1.17641 + 1.27125i) q^{3} +(0.613252 + 1.90366i) q^{4} +(1.57644 - 2.73047i) q^{5} +(2.40328 - 0.473549i) q^{6} +(1.25267 + 2.33041i) q^{7} +(0.884165 - 2.68668i) q^{8} +(-0.232133 - 2.99101i) q^{9} +(-4.07562 + 1.80845i) q^{10} +(-0.814620 - 1.41096i) q^{11} +(-3.14145 - 1.45989i) q^{12} +(-0.0400258 - 0.0693267i) q^{13} +(0.508608 - 3.70693i) q^{14} +(1.61656 + 5.21618i) q^{15} +(-3.24784 + 2.33485i) q^{16} +(-1.13969 - 0.658003i) q^{17} +(-2.22524 + 3.61225i) q^{18} +(3.49599 - 2.01841i) q^{19} +(6.16463 + 1.32653i) q^{20} +(-4.43618 - 1.14905i) q^{21} +(-0.243722 + 2.29117i) q^{22} +(3.67953 + 2.12438i) q^{23} +(2.37529 + 4.28462i) q^{24} +(-2.47030 - 4.27868i) q^{25} +(-0.0119751 + 0.112575i) q^{26} +(4.07539 + 3.22354i) q^{27} +(-3.66810 + 3.81379i) q^{28} +(-3.48772 - 2.01364i) q^{29} +(2.49560 - 7.30859i) q^{30} -3.97549 q^{31} +(5.65674 + 0.0355381i) q^{32} +(2.75200 + 0.624284i) q^{33} +(0.754846 + 1.70116i) q^{34} +(8.33787 + 0.253358i) q^{35} +(5.55150 - 2.27614i) q^{36} +(9.45599 - 5.45942i) q^{37} +(-5.67691 - 0.603880i) q^{38} +(0.135218 + 0.0306738i) q^{39} +(-5.94206 - 6.64956i) q^{40} +(10.5992 - 6.11948i) q^{41} +(4.11409 + 5.00742i) q^{42} +(5.79819 - 10.0428i) q^{43} +(2.18643 - 2.41603i) q^{44} +(-8.53278 - 4.08130i) q^{45} +(-2.43704 - 5.49225i) q^{46} -0.848906 q^{47} +(0.852621 - 6.87554i) q^{48} +(-3.86162 + 5.83848i) q^{49} +(-0.739077 + 6.94786i) q^{50} +(2.17723 - 0.674752i) q^{51} +(0.107429 - 0.118710i) q^{52} +(4.62915 + 2.67264i) q^{53} +(-1.97427 - 7.07830i) q^{54} -5.13678 q^{55} +(7.36864 - 1.30507i) q^{56} +(-1.54681 + 6.81875i) q^{57} +(2.31000 + 5.20593i) q^{58} -4.33850i q^{59} +(-8.93847 + 6.27622i) q^{60} -5.27660 q^{61} +(4.54429 + 3.31035i) q^{62} +(6.67948 - 4.28772i) q^{63} +(-6.43650 - 4.75094i) q^{64} -0.252392 q^{65} +(-2.62592 - 3.00517i) q^{66} +6.21333 q^{67} +(0.553694 - 2.57311i) q^{68} +(-7.02924 + 2.17846i) q^{69} +(-9.31986 - 7.23247i) q^{70} +4.99349i q^{71} +(-8.24112 - 2.02088i) q^{72} +(7.72355 + 4.45919i) q^{73} +(-15.3549 - 1.63338i) q^{74} +(8.34534 + 1.89312i) q^{75} +(5.98630 + 5.41739i) q^{76} +(2.26767 - 3.66587i) q^{77} +(-0.129023 - 0.147657i) q^{78} +14.5396i q^{79} +(1.25521 + 12.5489i) q^{80} +(-8.89223 + 1.38862i) q^{81} +(-17.2114 - 1.83086i) q^{82} +(-2.34461 - 1.35366i) q^{83} +(-0.533087 - 9.14963i) q^{84} +(-3.59331 + 2.07460i) q^{85} +(-14.9903 + 6.65155i) q^{86} +(6.66280 - 2.06489i) q^{87} +(-4.51106 + 0.941098i) q^{88} +(-5.04396 + 2.91213i) q^{89} +(6.35517 + 11.7704i) q^{90} +(0.111420 - 0.180120i) q^{91} +(-1.78762 + 8.30736i) q^{92} +(4.67679 - 5.05382i) q^{93} +(0.970365 + 0.706876i) q^{94} -12.7276i q^{95} +(-6.69981 + 7.14930i) q^{96} +(-15.1154 - 8.72685i) q^{97} +(9.27578 - 3.45831i) q^{98} +(-4.03110 + 2.76406i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 180 q - 6 q^{2} - 6 q^{3} - 2 q^{4} - 6 q^{6} + 10 q^{9}+O(q^{10}) \) 180 * q - 6 * q^2 - 6 * q^3 - 2 * q^4 - 6 * q^6 + 10 * q^9	\( 180 q - 6 q^{2} - 6 q^{3} - 2 q^{4} - 6 q^{6} + 10 q^{9} - 8 q^{11} + 12 q^{12} + 10 q^{14} + 14 q^{16} - 18 q^{17} + 8 q^{18} - 6 q^{19} + 36 q^{20} - 16 q^{22} - 12 q^{24} - 78 q^{25} - 6 q^{26} + 16 q^{28} + q^{30} - 26 q^{32} - 36 q^{33} - 12 q^{34} - 12 q^{35} + 2 q^{36} - 27 q^{38} + 24 q^{40} - 42 q^{41} + 22 q^{42} + 14 q^{43} - 21 q^{44} - 12 q^{46} - 9 q^{48} + 2 q^{49} + 15 q^{50} + 9 q^{52} - 51 q^{54} + 14 q^{56} - 26 q^{57} + 19 q^{58} + 37 q^{60} - 8 q^{64} + 24 q^{65} + 6 q^{66} + 28 q^{67} + 12 q^{68} + 27 q^{70} - 28 q^{72} + 18 q^{73} + 49 q^{74} - 18 q^{75} - 12 q^{76} - 33 q^{78} - 63 q^{80} - 22 q^{81} - 54 q^{82} + 6 q^{83} + 31 q^{84} - 13 q^{86} + 29 q^{88} - 66 q^{89} - 51 q^{90} + 2 q^{91} - 60 q^{92} - 45 q^{96} - 6 q^{97} + 31 q^{98} + 4 q^{99}+O(q^{100}) \) 180 * q - 6 * q^2 - 6 * q^3 - 2 * q^4 - 6 * q^6 + 10 * q^9 - 8 * q^11 + 12 * q^12 + 10 * q^14 + 14 * q^16 - 18 * q^17 + 8 * q^18 - 6 * q^19 + 36 * q^20 - 16 * q^22 - 12 * q^24 - 78 * q^25 - 6 * q^26 + 16 * q^28 + q^30 - 26 * q^32 - 36 * q^33 - 12 * q^34 - 12 * q^35 + 2 * q^36 - 27 * q^38 + 24 * q^40 - 42 * q^41 + 22 * q^42 + 14 * q^43 - 21 * q^44 - 12 * q^46 - 9 * q^48 + 2 * q^49 + 15 * q^50 + 9 * q^52 - 51 * q^54 + 14 * q^56 - 26 * q^57 + 19 * q^58 + 37 * q^60 - 8 * q^64 + 24 * q^65 + 6 * q^66 + 28 * q^67 + 12 * q^68 + 27 * q^70 - 28 * q^72 + 18 * q^73 + 49 * q^74 - 18 * q^75 - 12 * q^76 - 33 * q^78 - 63 * q^80 - 22 * q^81 - 54 * q^82 + 6 * q^83 + 31 * q^84 - 13 * q^86 + 29 * q^88 - 66 * q^89 - 51 * q^90 + 2 * q^91 - 60 * q^92 - 45 * q^96 - 6 * q^97 + 31 * q^98 + 4 * q^99

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