LMFDB - Embedded newform 495.2.bc.d.23.22

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [495,2,Mod(23,495)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(495, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([10, 9, 0]))

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

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

chi := DirichletCharacter("495.23");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 495 = 3^{2} \cdot 5 \cdot 11 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	495.bc (of order $12$, degree $4$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$3.95259490005$
Analytic rank:	$0$
Dimension:	$116$
Relative dimension:	$29$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			23.22
Character	$\chi$	$=$	495.23
Dual form			495.2.bc.d.452.22

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.341381 - 1.27405i) q^{2} +(-0.286119 + 1.70826i) q^{3} +(0.225382 + 0.130124i) q^{4} +(0.599104 + 2.15432i) q^{5} +(2.07873 + 0.947697i) q^{6} +(0.335911 + 0.0900071i) q^{7} +(2.10807 - 2.10807i) q^{8} +(-2.83627 - 0.977528i) q^{9} +O(q^{10})$	\(q+(0.341381 - 1.27405i) q^{2} +(-0.286119 + 1.70826i) q^{3} +(0.225382 + 0.130124i) q^{4} +(0.599104 + 2.15432i) q^{5} +(2.07873 + 0.947697i) q^{6} +(0.335911 + 0.0900071i) q^{7} +(2.10807 - 2.10807i) q^{8} +(-2.83627 - 0.977528i) q^{9} +(2.94923 - 0.0278473i) q^{10} +(0.866025 - 0.500000i) q^{11} +(-0.286772 + 0.347779i) q^{12} +(-0.702261 + 0.188170i) q^{13} +(0.229348 - 0.397242i) q^{14} +(-3.85154 + 0.407033i) q^{15} +(-1.70589 - 2.95468i) q^{16} +(4.36157 + 4.36157i) q^{17} +(-2.21367 + 3.27985i) q^{18} +3.42839i q^{19} +(-0.145302 + 0.563502i) q^{20} +(-0.249866 + 0.548069i) q^{21} +(-0.341381 - 1.27405i) q^{22} +(0.00776227 + 0.0289692i) q^{23} +(2.99796 + 4.20428i) q^{24} +(-4.28215 + 2.58132i) q^{25} +0.958955i q^{26} +(2.48138 - 4.56539i) q^{27} +(0.0639962 + 0.0639962i) q^{28} +(0.451394 + 0.781838i) q^{29} +(-0.796261 + 5.04601i) q^{30} +(-4.46087 + 7.72645i) q^{31} +(1.41257 - 0.378498i) q^{32} +(0.606341 + 1.62245i) q^{33} +(7.04584 - 4.06792i) q^{34} +(0.00734208 + 0.777582i) q^{35} +(-0.512044 - 0.589385i) q^{36} +(-1.73740 + 1.73740i) q^{37} +(4.36795 + 1.17039i) q^{38} +(-0.120513 - 1.25348i) q^{39} +(5.80440 + 3.27849i) q^{40} +(0.129823 + 0.0749531i) q^{41} +(0.612969 + 0.505442i) q^{42} +(3.21592 - 12.0020i) q^{43} +0.260249 q^{44} +(0.406681 - 6.69587i) q^{45} +0.0395582 q^{46} +(1.22259 - 4.56276i) q^{47} +(5.53544 - 2.06870i) q^{48} +(-5.95744 - 3.43953i) q^{49} +(1.82689 + 6.33690i) q^{50} +(-8.69861 + 6.20275i) q^{51} +(-0.182763 - 0.0489711i) q^{52} +(6.20562 - 6.20562i) q^{53} +(-4.96945 - 4.71994i) q^{54} +(1.59600 + 1.56614i) q^{55} +(0.897865 - 0.518382i) q^{56} +(-5.85657 - 0.980927i) q^{57} +(1.15020 - 0.308195i) q^{58} +(2.79587 - 4.84259i) q^{59} +(-0.921032 - 0.409441i) q^{60} +(0.957999 + 1.65930i) q^{61} +(8.32105 + 8.32105i) q^{62} +(-0.864751 - 0.583647i) q^{63} -8.75245i q^{64} +(-0.826106 - 1.40016i) q^{65} +(2.27408 - 0.218636i) q^{66} +(-0.0643709 - 0.240235i) q^{67} +(0.415473 + 1.55057i) q^{68} +(-0.0517077 + 0.00497131i) q^{69} +(0.993187 + 0.256098i) q^{70} -11.6465i q^{71} +(-8.03975 + 3.91836i) q^{72} +(-10.4182 - 10.4182i) q^{73} +(1.62042 + 2.80665i) q^{74} +(-3.18435 - 8.05357i) q^{75} +(-0.446117 + 0.772698i) q^{76} +(0.335911 - 0.0900071i) q^{77} +(-1.63814 - 0.274375i) q^{78} +(-5.28688 + 3.05238i) q^{79} +(5.34331 - 5.44518i) q^{80} +(7.08888 + 5.54507i) q^{81} +(0.139813 - 0.139813i) q^{82} +(14.7667 + 3.95673i) q^{83} +(-0.127632 + 0.0910113i) q^{84} +(-6.78317 + 12.0092i) q^{85} +(-14.1933 - 8.19450i) q^{86} +(-1.46473 + 0.547398i) q^{87} +(0.771607 - 2.87968i) q^{88} +4.19463 q^{89} +(-8.39205 - 2.80398i) q^{90} -0.252834 q^{91} +(-0.00202012 + 0.00753919i) q^{92} +(-11.9224 - 9.83099i) q^{93} +(-5.39582 - 3.11528i) q^{94} +(-7.38584 + 2.05396i) q^{95} +(0.242407 + 2.52133i) q^{96} +(1.84761 + 0.495067i) q^{97} +(-6.41590 + 6.41590i) q^{98} +(-2.94505 + 0.571572i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 116 q - 2 q^{2} + 6 q^{4} - 2 q^{5} - 2 q^{6} - 10 q^{7} + 2 q^{8} + 16 q^{9}+O(q^{10}) $ 116 * q - 2 * q^2 + 6 * q^4 - 2 * q^5 - 2 * q^6 - 10 * q^7 + 2 * q^8 + 16 * q^9	\( 116 q - 2 q^{2} + 6 q^{4} - 2 q^{5} - 2 q^{6} - 10 q^{7} + 2 q^{8} + 16 q^{9} + 6 q^{10} - 8 q^{12} + 12 q^{13} - 10 q^{14} + 20 q^{15} + 62 q^{16} - 8 q^{17} - 54 q^{18} + 6 q^{20} - 10 q^{21} + 2 q^{22} - 14 q^{23} - 62 q^{24} - 12 q^{25} + 30 q^{27} + 18 q^{28} - 2 q^{29} - 18 q^{30} - 2 q^{31} - 48 q^{32} + 4 q^{33} - 24 q^{34} + 2 q^{35} + 24 q^{36} - 14 q^{37} - 6 q^{38} + 4 q^{39} + 98 q^{40} + 6 q^{41} - 44 q^{42} + 26 q^{43} - 120 q^{44} - 18 q^{45} - 44 q^{46} - 2 q^{47} - 20 q^{48} - 18 q^{49} - 20 q^{50} - 8 q^{51} + 102 q^{52} - 44 q^{53} + 28 q^{54} + 2 q^{55} + 42 q^{56} - 48 q^{57} - 16 q^{58} + 22 q^{59} - 8 q^{60} - 10 q^{61} - 16 q^{62} - 26 q^{63} - 108 q^{65} + 6 q^{66} - 36 q^{67} - 72 q^{68} - 76 q^{69} - 134 q^{70} + 30 q^{72} + 12 q^{73} - 8 q^{74} + 20 q^{75} - 6 q^{76} - 10 q^{77} + 210 q^{78} - 6 q^{79} + 4 q^{80} + 44 q^{81} - 50 q^{82} + 24 q^{83} + 222 q^{84} + 54 q^{85} + 90 q^{86} - 32 q^{87} - 4 q^{88} + 8 q^{89} - 74 q^{90} + 72 q^{91} + 18 q^{92} - 98 q^{93} + 42 q^{94} + 54 q^{95} + 68 q^{96} + 18 q^{97} + 16 q^{98} - 4 q^{99}+O(q^{100}) \) 116 * q - 2 * q^2 + 6 * q^4 - 2 * q^5 - 2 * q^6 - 10 * q^7 + 2 * q^8 + 16 * q^9 + 6 * q^10 - 8 * q^12 + 12 * q^13 - 10 * q^14 + 20 * q^15 + 62 * q^16 - 8 * q^17 - 54 * q^18 + 6 * q^20 - 10 * q^21 + 2 * q^22 - 14 * q^23 - 62 * q^24 - 12 * q^25 + 30 * q^27 + 18 * q^28 - 2 * q^29 - 18 * q^30 - 2 * q^31 - 48 * q^32 + 4 * q^33 - 24 * q^34 + 2 * q^35 + 24 * q^36 - 14 * q^37 - 6 * q^38 + 4 * q^39 + 98 * q^40 + 6 * q^41 - 44 * q^42 + 26 * q^43 - 120 * q^44 - 18 * q^45 - 44 * q^46 - 2 * q^47 - 20 * q^48 - 18 * q^49 - 20 * q^50 - 8 * q^51 + 102 * q^52 - 44 * q^53 + 28 * q^54 + 2 * q^55 + 42 * q^56 - 48 * q^57 - 16 * q^58 + 22 * q^59 - 8 * q^60 - 10 * q^61 - 16 * q^62 - 26 * q^63 - 108 * q^65 + 6 * q^66 - 36 * q^67 - 72 * q^68 - 76 * q^69 - 134 * q^70 + 30 * q^72 + 12 * q^73 - 8 * q^74 + 20 * q^75 - 6 * q^76 - 10 * q^77 + 210 * q^78 - 6 * q^79 + 4 * q^80 + 44 * q^81 - 50 * q^82 + 24 * q^83 + 222 * q^84 + 54 * q^85 + 90 * q^86 - 32 * q^87 - 4 * q^88 + 8 * q^89 - 74 * q^90 + 72 * q^91 + 18 * q^92 - 98 * q^93 + 42 * q^94 + 54 * q^95 + 68 * q^96 + 18 * q^97 + 16 * q^98 - 4 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/495\mathbb{Z}\right)^\times$.

$n$	$46$	$56$	$397$
$\chi(n)$	$1$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{3}{4}\right)$

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 $

$2$	0.341381	−	1.27405i	0.241393	−	0.900891i	−0.733769	−	0.679399i	$-0.762241\pi$
$2$	0.341381	−	1.27405i	0.241393	−	0.900891i	0.975162	−	0.221492i	$-0.0710928\pi$
$3$	−0.286119	+	1.70826i	−0.165191	+	0.986262i
$3$	−0.286119	+	1.70826i	−0.165191	+	0.986262i
$4$	0.225382	+	0.130124i	0.112691	+	0.0650622i
$5$	0.599104	+	2.15432i	0.267928	+	0.963439i
$5$	0.599104	+	2.15432i	0.267928	+	0.963439i
$6$	2.07873	+	0.947697i	0.848639	+	0.386896i
$7$	0.335911	+	0.0900071i	0.126962	+	0.0340195i	0.321741	−	0.946828i	$-0.395732\pi$
$7$	0.335911	+	0.0900071i	0.126962	+	0.0340195i	−0.194778	+	0.980847i	$0.562399\pi$
$8$	2.10807	−	2.10807i	0.745315	−	0.745315i
$9$	−2.83627	−	0.977528i	−0.945424	−	0.325843i
$10$	2.94923	−	0.0278473i	0.932630	−	0.00880608i
$11$	0.866025	−	0.500000i	0.261116	−	0.150756i
$11$	0.866025	−	0.500000i	0.261116	−	0.150756i
$12$	−0.286772	+	0.347779i	−0.0827838	+	0.100395i
$13$	−0.702261	+	0.188170i	−0.194772	+	0.0521890i	−0.354886	−	0.934909i	$-0.615480\pi$
$13$	−0.702261	+	0.188170i	−0.194772	+	0.0521890i	0.160114	+	0.987099i	$0.448814\pi$
$14$	0.229348	−	0.397242i	0.0612957	−	0.106167i
$15$	−3.85154	+	0.407033i	−0.994462	+	0.105095i
$16$	−1.70589	−	2.95468i	−0.426472	−	0.738671i
$17$	4.36157	+	4.36157i	1.05784	+	1.05784i	0.998221	+	0.0596158i	$0.0189875\pi$
$17$	4.36157	+	4.36157i	1.05784	+	1.05784i	0.0596158	+	0.998221i	$0.481012\pi$
$18$	−2.21367	+	3.27985i	−0.521768	+	0.773068i
$19$			3.42839i			0.786527i	0.919426	+	0.393263i	$0.128654\pi$
$19$			3.42839i			0.786527i	−0.919426	+	0.393263i	$0.871346\pi$
$20$	−0.145302	+	0.563502i	−0.0324904	+	0.126003i
$21$	−0.249866	+	0.548069i	−0.0545251	+	0.119598i
$22$	−0.341381	−	1.27405i	−0.0727828	−	0.271629i
$23$	0.00776227	+	0.0289692i	0.00161855	+	0.00604049i	0.966730	−	0.255798i	$-0.0823380\pi$
$23$	0.00776227	+	0.0289692i	0.00161855	+	0.00604049i	−0.965112	+	0.261838i	$0.915671\pi$
$24$	2.99796	+	4.20428i	0.611956	+	0.858195i
$25$	−4.28215	+	2.58132i	−0.856430	+	0.516264i
$26$			0.958955i			0.188067i
$27$	2.48138	−	4.56539i	0.477541	−	0.878609i
$28$	0.0639962	+	0.0639962i	0.0120941	+	0.0120941i
$29$	0.451394	+	0.781838i	0.0838218	+	0.145184i	0.904889	−	0.425649i	$-0.139954\pi$
$29$	0.451394	+	0.781838i	0.0838218	+	0.145184i	−0.821067	+	0.570832i	$0.806621\pi$
$30$	−0.796261	+	5.04601i	−0.145377	+	0.921272i
$31$	−4.46087	+	7.72645i	−0.801196	+	1.38771i	0.117634	+	0.993057i	$0.462469\pi$
$31$	−4.46087	+	7.72645i	−0.801196	+	1.38771i	−0.918830	+	0.394655i	$0.870864\pi$
$32$	1.41257	−	0.378498i	0.249710	−	0.0669096i
$33$	0.606341	+	1.62245i	0.105551	+	0.282433i
$34$	7.04584	−	4.06792i	1.20835	−	0.697642i
$35$	0.00734208	+	0.777582i	0.00124104	+	0.131435i
$36$	−0.512044	−	0.589385i	−0.0853407	−	0.0982309i
$37$	−1.73740	+	1.73740i	−0.285627	+	0.285627i	−0.835348	−	0.549721i	$-0.814734\pi$
$37$	−1.73740	+	1.73740i	−0.285627	+	0.285627i	0.549721	+	0.835348i	$0.314734\pi$
$38$	4.36795	+	1.17039i	0.708575	+	0.189862i
$39$	−0.120513	−	1.25348i	−0.0192975	−	0.200717i
$40$	5.80440	+	3.27849i	0.917756	+	0.518375i
$41$	0.129823	+	0.0749531i	0.0202749	+	0.0117057i	0.510103	−	0.860113i	$-0.329607\pi$
$41$	0.129823	+	0.0749531i	0.0202749	+	0.0117057i	−0.489828	+	0.871819i	$0.662941\pi$
$42$	0.612969	+	0.505442i	0.0945832	+	0.0779915i
$43$	3.21592	−	12.0020i	0.490423	−	1.83028i	−0.0638663	−	0.997958i	$-0.520343\pi$
$43$	3.21592	−	12.0020i	0.490423	−	1.83028i	0.554289	−	0.832324i	$-0.312990\pi$
$44$	0.260249			0.0392340
$45$	0.406681	−	6.69587i	0.0606244	−	0.998161i
$46$	0.0395582			0.00583253
$47$	1.22259	−	4.56276i	0.178333	−	0.665546i	−0.817627	−	0.575748i	$-0.804711\pi$
$47$	1.22259	−	4.56276i	0.178333	−	0.665546i	0.995960	−	0.0897986i	$-0.0286223\pi$
$48$	5.53544	−	2.06870i	0.798972	−	0.298591i
$49$	−5.95744	−	3.43953i	−0.851063	−	0.491362i
$50$	1.82689	+	6.33690i	0.258361	+	0.896172i
$51$	−8.69861	+	6.20275i	−1.21805	+	0.868559i
$52$	−0.182763	−	0.0489711i	−0.0253446	−	0.00679107i
$53$	6.20562	−	6.20562i	0.852407	−	0.852407i	−0.138022	−	0.990429i	$-0.544074\pi$
$53$	6.20562	−	6.20562i	0.852407	−	0.852407i	0.990429	+	0.138022i	$0.0440744\pi$
$54$	−4.96945	−	4.71994i	−0.676256	−	0.642303i
$55$	1.59600	+	1.56614i	0.215204	+	0.211178i
$56$	0.897865	−	0.518382i	0.119982	−	0.0692718i
$57$	−5.85657	−	0.980927i	−0.775721	−	0.129927i
$58$	1.15020	−	0.308195i	0.151029	−	0.0404680i
$59$	2.79587	−	4.84259i	0.363991	−	0.630451i	−0.624622	−	0.780927i	$-0.714747\pi$
$59$	2.79587	−	4.84259i	0.363991	−	0.630451i	0.988614	+	0.150475i	$0.0480804\pi$
$60$	−0.921032	−	0.409441i	−0.118905	−	0.0528586i
$61$	0.957999	+	1.65930i	0.122659	+	0.212452i	0.920816	−	0.389998i	$-0.127524\pi$
$61$	0.957999	+	1.65930i	0.122659	+	0.212452i	−0.798156	+	0.602450i	$0.794191\pi$
$62$	8.32105	+	8.32105i	1.05677	+	1.05677i
$63$	−0.864751	−	0.583647i	−0.108948	−	0.0735326i
$64$		−	8.75245i		−	1.09406i
$65$	−0.826106	−	1.40016i	−0.102466	−	0.173668i
$66$	2.27408	−	0.218636i	0.279920	−	0.0269122i
$67$	−0.0643709	−	0.240235i	−0.00786416	−	0.0293494i	0.961882	−	0.273464i	$-0.0881694\pi$
$67$	−0.0643709	−	0.240235i	−0.00786416	−	0.0293494i	−0.969746	+	0.244114i	$0.921503\pi$
$68$	0.415473	+	1.55057i	0.0503835	+	0.188034i
$69$	−0.0517077	+	0.00497131i	−0.00622487	+	0.000598475i
$70$	0.993187	+	0.256098i	0.118709	+	0.0306095i
$71$		−	11.6465i		−	1.38218i	−0.722768	−	0.691091i	$-0.757131\pi$
$71$		−	11.6465i		−	1.38218i	0.722768	−	0.691091i	$-0.242869\pi$
$72$	−8.03975	+	3.91836i	−0.947494	+	0.461783i
$73$	−10.4182	−	10.4182i	−1.21936	−	1.21936i	−0.967856	−	0.251506i	$-0.919074\pi$
$73$	−10.4182	−	10.4182i	−1.21936	−	1.21936i	−0.251506	−	0.967856i	$-0.580926\pi$
$74$	1.62042	+	2.80665i	0.188370	+	0.326267i
$75$	−3.18435	−	8.05357i	−0.367697	−	0.929946i
$76$	−0.446117	+	0.772698i	−0.0511731	+	0.0886345i
$77$	0.335911	−	0.0900071i	0.0382806	−	0.0102573i
$78$	−1.63814	−	0.274375i	−0.185483	−	0.0310669i
$79$	−5.28688	+	3.05238i	−0.594821	+	0.343420i	−0.767001	−	0.641645i	$-0.778252\pi$
$79$	−5.28688	+	3.05238i	−0.594821	+	0.343420i	0.172181	+	0.985065i	$0.444919\pi$
$80$	5.34331	−	5.44518i	0.597401	−	0.608790i
$81$	7.08888	+	5.54507i	0.787653	+	0.616119i
$82$	0.139813	−	0.139813i	0.0154398	−	0.0154398i
$83$	14.7667	+	3.95673i	1.62086	+	0.434308i	0.951254	−	0.308409i	$-0.0997964\pi$
$83$	14.7667	+	3.95673i	1.62086	+	0.434308i	0.669606	+	0.742717i	$0.266463\pi$
$84$	−0.127632	+	0.0910113i	−0.0139258	+	0.00993015i
$85$	−6.78317	+	12.0092i	−0.735738	+	1.30259i
$86$	−14.1933	−	8.19450i	−1.53050	−	0.883635i
$87$	−1.46473	+	0.547398i	−0.157036	+	0.0586872i
$88$	0.771607	−	2.87968i	0.0822536	−	0.306974i
$89$	4.19463			0.444629			0.222315	−	0.974975i	$-0.428639\pi$
$89$	4.19463			0.444629			0.222315	+	0.974975i	$0.428639\pi$
$90$	−8.39205	−	2.80398i	−0.884600	−	0.295565i
$91$	−0.252834			−0.0265042
$92$	−0.00202012	+	0.00753919i	−0.000210612	+	0.000786015i
$93$	−11.9224	−	9.83099i	−1.23630	−	1.01943i
$94$	−5.39582	−	3.11528i	−0.556537	−	0.321317i
$95$	−7.38584	+	2.05396i	−0.757771	+	0.210732i
$96$	0.242407	+	2.52133i	0.0247406	+	0.257332i
$97$	1.84761	+	0.495067i	0.187597	+	0.0502664i	0.351394	−	0.936228i	$-0.385708\pi$
$97$	1.84761	+	0.495067i	0.187597	+	0.0502664i	−0.163797	+	0.986494i	$0.552374\pi$
$98$	−6.41590	+	6.41590i	−0.648104	+	0.648104i
$99$	−2.94505	+	0.571572i	−0.295988	+	0.0574451i
$100$	−1.30101	+	0.0245710i	−0.130101	+	0.00245710i
$101$	−2.87148	+	1.65785i	−0.285722	+	0.164962i	−0.636011	−	0.771680i	$-0.719417\pi$
$101$	−2.87148	+	1.65785i	−0.285722	+	0.164962i	0.350289	+	0.936642i	$0.386083\pi$
$102$	4.93309	+	13.2000i	0.488449	+	1.30699i
$103$	8.38934	−	2.24792i	0.826627	−	0.221494i	0.179385	−	0.983779i	$-0.442589\pi$
$103$	8.38934	−	2.24792i	0.826627	−	0.221494i	0.647242	+	0.762285i	$0.275923\pi$
$104$	−1.08374	+	1.87709i	−0.106269	+	0.184064i
$105$	−1.33041	−	0.209939i	−0.129835	−	0.0204879i
$106$	−5.78780	−	10.0248i	−0.562161	−	0.973692i
$107$	−0.687887	−	0.687887i	−0.0665005	−	0.0665005i	0.673074	−	0.739575i	$-0.264973\pi$
$107$	−0.687887	−	0.687887i	−0.0665005	−	0.0665005i	−0.739575	+	0.673074i	$0.764973\pi$
$108$	1.15333	−	0.706068i	0.110979	−	0.0679415i
$109$		−	4.75458i		−	0.455406i	−0.973731	−	0.227703i	$-0.926878\pi$
$109$		−	4.75458i		−	0.455406i	0.973731	−	0.227703i	$-0.0731216\pi$
$110$	2.54019	−	1.49873i	0.242197	−	0.142899i
$111$	−2.47082	−	3.46502i	−0.234520	−	0.328885i
$112$	−0.307084	−	1.14605i	−0.0290167	−	0.108292i
$113$	3.30833	+	12.3469i	0.311222	+	1.16149i	0.927456	+	0.373932i	$0.121991\pi$
$113$	3.30833	+	12.3469i	0.311222	+	1.16149i	−0.616235	+	0.787563i	$0.711343\pi$
$114$	−3.24908	+	7.12670i	−0.304304	+	0.667477i
$115$	−0.0577583	+	0.0340779i	−0.00538599	+	0.00317778i
$116$			0.234950i			0.0218145i
$117$	2.17575	+	0.152778i	0.201148	+	0.0141243i
$118$	−5.21526	−	5.21526i	−0.480103	−	0.480103i
$119$	1.07253	+	1.85767i	0.0983185	+	0.170293i
$120$	−7.26125	+	8.97736i	−0.662858	+	0.819517i
$121$	0.500000	−	0.866025i	0.0454545	−	0.0787296i
$122$	2.44108	−	0.654086i	0.221005	−	0.0592182i
$123$	−0.165184	+	0.200325i	−0.0148941	+	0.0180627i
$124$	−2.01080	+	1.16094i	−0.180575	+	0.104255i
$125$	−8.12643	−	7.67862i	−0.726850	−	0.686796i
$126$	−1.03881	+	0.902492i	−0.0925443	+	0.0804003i
$127$	10.5368	−	10.5368i	0.934989	−	0.934989i	−0.0630231	−	0.998012i	$-0.520074\pi$
$127$	10.5368	−	10.5368i	0.934989	−	0.934989i	0.998012	+	0.0630231i	$0.0200742\pi$
$128$	−8.32594	−	2.23093i	−0.735916	−	0.197188i
$129$	19.5823	+	8.92760i	1.72412	+	0.786031i
$130$	−2.06589	+	0.574514i	−0.181191	+	0.0503882i
$131$	−6.01661	−	3.47369i	−0.525673	−	0.303498i	0.213579	−	0.976926i	$-0.431488\pi$
$131$	−6.01661	−	3.47369i	−0.525673	−	0.303498i	−0.739253	+	0.673428i	$0.764821\pi$
$132$	−0.0744620	+	0.444571i	−0.00648109	+	0.0386950i
$133$	−0.308579	+	1.15163i	−0.0267572	+	0.0998594i
$134$	−0.328048			−0.0283390
$135$	11.3219	+	2.61053i	0.974433	+	0.224678i
$136$	18.3890			1.57684
$137$	4.19006	−	15.6375i	0.357981	−	1.33600i	−0.518709	−	0.854951i	$-0.673587\pi$
$137$	4.19006	−	15.6375i	0.357981	−	1.33600i	0.876691	−	0.481054i	$-0.159746\pi$
$138$	−0.0113183	+	0.0675754i	−0.000963481	+	0.00575240i
$139$	4.96365	+	2.86577i	0.421011	+	0.243071i	0.695510	−	0.718516i	$-0.255179\pi$
$139$	4.96365	+	2.86577i	0.421011	+	0.243071i	−0.274498	+	0.961588i	$0.588512\pi$
$140$	−0.0995276	+	0.176208i	−0.00841161	+	0.0148923i
$141$	7.44455	+	3.39398i	0.626944	+	0.285825i
$142$	−14.8382	−	3.97589i	−1.24519	−	0.333649i
$143$	−0.514091	+	0.514091i	−0.0429904	+	0.0429904i
$144$	1.95007	+	10.0478i	0.162506	+	0.837320i
$145$	−1.41389	+	1.44085i	−0.117417	+	0.119656i
$146$	−16.8300	+	9.71678i	−1.39286	+	0.804167i
$147$	7.58013	−	9.19272i	0.625199	−	0.758203i
$148$	−0.617656	+	0.165501i	−0.0507710	+	0.0136041i
$149$	−10.5071	+	18.1988i	−0.860772	+	1.49090i	0.0104132	+	0.999946i	$0.496685\pi$
$149$	−10.5071	+	18.1988i	−0.860772	+	1.49090i	−0.871185	+	0.490955i	$0.836648\pi$
$150$	−11.3477	+	1.30769i	−0.926539	+	0.106772i
$151$	1.48538	+	2.57276i	0.120879	+	0.209368i	0.920115	−	0.391649i	$-0.128095\pi$
$151$	1.48538	+	2.57276i	0.120879	+	0.209368i	−0.799236	+	0.601018i	$0.794762\pi$
$152$	7.22728	+	7.22728i	0.586210	+	0.586210i
$153$	−8.10705	−	16.6342i	−0.655416	−	1.34479i
$154$		−	0.458695i		−	0.0369627i
$155$	−19.3177	−	4.98117i	−1.55164	−	0.400097i
$156$	0.135947	−	0.298193i	0.0108845	−	0.0238746i
$157$	3.59737	+	13.4256i	0.287102	+	1.07148i	0.947290	+	0.320378i	$0.103810\pi$
$157$	3.59737	+	13.4256i	0.287102	+	1.07148i	−0.660188	+	0.751100i	$0.729524\pi$
$158$	2.08405	+	7.77779i	0.165798	+	0.618768i
$159$	8.82524	+	12.3763i	0.699887	+	0.981506i
$160$	1.66168	+	2.81637i	0.131367	+	0.222653i
$161$			0.0104297i			0.000821978i
$162$	9.48472	−	7.13862i	0.745190	−	0.560863i
$163$	−14.3510	−	14.3510i	−1.12406	−	1.12406i	−0.991125	−	0.132931i	$-0.957561\pi$
$163$	−14.3510	−	14.3510i	−1.12406	−	1.12406i	−0.132931	−	0.991125i	$-0.542439\pi$
$164$	0.0195064	+	0.0337862i	0.00152320	+	0.00263826i
$165$	−3.13201	+	2.27827i	−0.243827	+	0.177363i
$166$	10.0822	−	17.4628i	0.782529	−	1.35538i
$167$	−12.7813	+	3.42473i	−0.989044	+	0.265014i	−0.716849	−	0.697229i	$-0.754416\pi$
$167$	−12.7813	+	3.42473i	−0.989044	+	0.265014i	−0.272195	+	0.962242i	$0.587750\pi$
$168$	0.628634	+	1.68210i	0.0485001	+	0.129777i
$169$	−10.8006	+	6.23571i	−0.830813	+	0.479670i
$170$	12.9848	+	12.7418i	0.995886	+	0.977255i
$171$	3.35135	−	9.72385i	0.256284	−	0.743601i
$172$	2.28656	−	2.28656i	0.174348	−	0.174348i
$173$	−7.82457	−	2.09659i	−0.594891	−	0.159400i	−0.0512033	−	0.998688i	$-0.516306\pi$
$173$	−7.82457	−	2.09659i	−0.594891	−	0.159400i	−0.543687	+	0.839288i	$0.682972\pi$
$174$	0.197382	+	2.05302i	0.0149635	+	0.155639i
$175$	−1.67076	+	0.481670i	−0.126297	+	0.0364108i
$176$	−2.95468	−	1.70589i	−0.222718	−	0.128586i
$177$	7.47243	+	6.16162i	0.561662	+	0.463135i
$178$	1.43197	−	5.34417i	0.107330	−	0.400563i
$179$	−15.2517			−1.13997			−0.569983	−	0.821657i	$-0.693050\pi$
$179$	−15.2517			−1.13997			−0.569983	+	0.821657i	$0.693050\pi$
$180$	0.962954	−	1.45621i	0.0717743	−	0.108539i
$181$	−12.5863			−0.935529			−0.467764	−	0.883853i	$-0.654940\pi$
$181$	−12.5863			−0.935529			−0.467764	+	0.883853i	$0.654940\pi$
$182$	−0.0863128	+	0.322124i	−0.00639793	+	0.0238774i
$183$	−3.10861	+	1.16175i	−0.229795	+	0.0858790i
$184$	0.0774324	+	0.0447056i	0.00570840	+	0.00329574i
$185$	−4.78379	−	2.70202i	−0.351711	−	0.198657i
$186$	−16.5953	+	11.8337i	−1.21683	+	0.867687i
$187$	5.95802	+	1.59645i	0.435694	+	0.116744i
$188$	0.869275	−	0.869275i	0.0633984	−	0.0633984i
$189$	1.24444	−	1.31022i	0.0905196	−	0.0953046i
$190$	0.0954713	+	10.1111i	0.00692622	+	0.733538i
$191$	16.7028	−	9.64335i	1.20857	−	0.697768i	0.246123	−	0.969239i	$-0.420843\pi$
$191$	16.7028	−	9.64335i	1.20857	−	0.697768i	0.962447	+	0.271471i	$0.0875099\pi$
$192$	14.9514	+	2.50424i	1.07903	+	0.180728i
$193$	2.48232	−	0.665136i	0.178681	−	0.0478775i	−0.168369	−	0.985724i	$-0.553850\pi$
$193$	2.48232	−	0.665136i	0.178681	−	0.0478775i	0.347050	+	0.937847i	$0.387183\pi$
$194$	1.26148	−	2.18495i	0.0905691	−	0.156870i
$195$	2.62819	−	1.01059i	0.188209	−	0.0723697i
$196$	−0.895134	−	1.55042i	−0.0639381	−	0.110744i
$197$	8.58945	+	8.58945i	0.611973	+	0.611973i	0.943460	−	0.331487i	$-0.107550\pi$
$197$	8.58945	+	8.58945i	0.611973	+	0.611973i	−0.331487	+	0.943460i	$0.607550\pi$
$198$	−0.277172	+	3.94727i	−0.0196977	+	0.280520i
$199$		−	7.46624i		−	0.529268i	−0.964349	−	0.264634i	$-0.914749\pi$
$199$		−	7.46624i		−	0.529268i	0.964349	−	0.264634i	$-0.0852511\pi$
$200$	−3.58547	+	14.4687i	−0.253531	+	1.02309i
$201$	0.428801	−	0.0412260i	0.0302453	−	0.00290786i
$202$	1.13192	+	4.22437i	0.0796413	+	0.297226i
$203$	0.0812574	+	0.303257i	0.00570315	+	0.0212844i
$204$	−2.76764	+	0.266088i	−0.193774	+	0.0186299i
$205$	−0.0836953	+	0.324583i	−0.00584554	+	0.0226699i
$206$		−	11.4559i		−	0.798168i
$207$	0.00630228	−	0.0897523i	0.000438039	−	0.00623822i
$208$	1.75396	+	1.75396i	0.121615	+	0.121615i
$209$	1.71420	+	2.96907i	0.118573	+	0.205375i
$210$	−0.721650	+	1.62334i	−0.0497986	+	0.112021i
$211$	3.51698	−	6.09159i	0.242119	−	0.419362i	−0.719199	−	0.694804i	$-0.755491\pi$
$211$	3.51698	−	6.09159i	0.242119	−	0.419362i	0.961318	+	0.275442i	$0.0888243\pi$
$212$	2.20614	−	0.591133i	0.151518	−	0.0405992i
$213$	19.8951	+	3.33227i	1.36319	+	0.228324i
$214$	−1.11124	+	0.641572i	−0.0759625	+	0.0438570i
$215$	27.7827	−	0.262330i	1.89476	−	0.0178907i
$216$	−4.39324	−	14.8551i	−0.298922	−	1.01076i
$217$	−2.19389	+	2.19389i	−0.148931	+	0.148931i
$218$	−6.05759	−	1.62313i	−0.410272	−	0.109932i
$219$	20.7778	−	14.8161i	1.40404	−	1.00118i
$220$	0.155916	+	0.560658i	0.0105119	+	0.0377995i
$221$	−3.88368	−	2.24225i	−0.261245	−	0.150830i
$222$	−5.25811	+	1.96506i	−0.352901	+	0.131886i
$223$	0.852104	−	3.18009i	0.0570611	−	0.212955i	−0.931509	−	0.363719i	$-0.881507\pi$
$223$	0.852104	−	3.18009i	0.0570611	−	0.212955i	0.988570	+	0.150764i	$0.0481734\pi$
$224$	0.508566			0.0339800
$225$	14.6686	−	3.13540i	0.977910	−	0.209027i
$226$	16.8599			1.12151
$227$	6.87276	−	25.6495i	0.456161	−	1.70242i	−0.228490	−	0.973546i	$-0.573379\pi$
$227$	6.87276	−	25.6495i	0.456161	−	1.70242i	0.684651	−	0.728871i	$-0.259955\pi$
$228$	−1.19232	−	0.983165i	−0.0789635	−	0.0651117i
$229$	−10.6311	−	6.13789i	−0.702526	−	0.405603i	0.105762	−	0.994392i	$-0.466272\pi$
$229$	−10.6311	−	6.13789i	−0.702526	−	0.405603i	−0.808287	+	0.588788i	$0.799605\pi$
$230$	0.0236995	+	0.0852207i	0.00156270	+	0.00561929i
$231$	0.0576446	+	0.599574i	0.00379274	+	0.0394491i
$232$	2.59974	+	0.696598i	0.170681	+	0.0457339i
$233$	−12.1907	+	12.1907i	−0.798636	+	0.798636i	−0.982880	−	0.184244i	$-0.941016\pi$
$233$	−12.1907	+	12.1907i	−0.798636	+	0.798636i	0.184244	+	0.982880i	$0.441016\pi$
$234$	0.937406	−	2.71986i	0.0612801	−	0.177803i
$235$	10.5621	−	0.0997292i	0.688994	−	0.00650562i
$236$	1.26028	−	0.727622i	0.0820371	−	0.0473641i
$237$	−3.70157	−	9.90469i	−0.240443	−	0.643379i
$238$	2.73291	−	0.732282i	0.177149	−	0.0474668i
$239$	−3.69670	+	6.40288i	−0.239120	+	0.414168i	−0.960462	−	0.278411i	$-0.910192\pi$
$239$	−3.69670	+	6.40288i	−0.239120	+	0.414168i	0.721342	+	0.692579i	$0.243526\pi$
$240$	7.77294	+	10.6857i	0.501741	+	0.689760i
$241$	14.4827	+	25.0848i	0.932915	+	1.61586i	0.778311	+	0.627879i	$0.216077\pi$
$241$	14.4827	+	25.0848i	0.932915	+	1.61586i	0.154604	+	0.987976i	$0.450590\pi$
$242$	−0.932671	−	0.932671i	−0.0599544	−	0.0599544i
$243$	−11.5007	+	10.5231i	−0.737767	+	0.675055i
$244$			0.498636i			0.0319219i
$245$	3.84071	−	14.8948i	0.245374	−	0.951597i
$246$	0.198833	+	0.278840i	0.0126772	+	0.0177782i
$247$	−0.645121	−	2.40763i	−0.0410481	−	0.153194i
$248$	6.88407	+	25.6917i	0.437139	+	1.63143i
$249$	−10.9842	+	24.0933i	−0.696092	+	1.52685i
$250$	−12.5572	+	7.73216i	−0.794185	+	0.489025i
$251$		−	8.76372i		−	0.553161i	−0.960991	−	0.276581i	$-0.910799\pi$
$251$		−	8.76372i		−	0.553161i	0.960991	−	0.276581i	$-0.0892013\pi$
$252$	−0.118953	−	0.244069i	−0.00749330	−	0.0153749i
$253$	0.0212069	+	0.0212069i	0.00133327	+	0.00133327i
$254$	−9.82736	−	17.0215i	−0.616623	−	1.06802i
$255$	−18.5741	−	15.0235i	−1.16315	−	0.940805i
$256$	3.06781	−	5.31360i	0.191738	−	0.332100i
$257$	17.1421	−	4.59320i	1.06929	−	0.286516i	0.319090	−	0.947724i	$-0.396623\pi$
$257$	17.1421	−	4.59320i	1.06929	−	0.286516i	0.750202	+	0.661208i	$0.229956\pi$
$258$	18.0593	−	21.9012i	1.12432	−	1.36351i
$259$	−0.739990	+	0.427233i	−0.0459807	+	0.0265470i
$260$	−0.00399468	−	0.423067i	−0.000247740	−	0.0262375i
$261$	−0.516009	−	2.65876i	−0.0319401	−	0.164573i
$262$	−6.47962	+	6.47962i	−0.400312	+	0.400312i
$263$	10.6906	+	2.86453i	0.659208	+	0.176634i	0.572889	−	0.819633i	$-0.305823\pi$
$263$	10.6906	+	2.86453i	0.659208	+	0.176634i	0.0863195	+	0.996268i	$0.472489\pi$
$264$	4.69845	+	2.14203i	0.289170	+	0.131833i
$265$	17.0867	+	9.65105i	1.04963	+	0.592859i
$266$	1.36190	+	0.786293i	0.0835034	+	0.0482107i
$267$	−1.20016	+	7.16549i	−0.0734487	+	0.438521i
$268$	0.0167524	−	0.0625210i	0.00102332	−	0.00381908i
$269$	−26.6359			−1.62402			−0.812010	−	0.583643i	$-0.801627\pi$
$269$	−26.6359			−1.62402			−0.812010	+	0.583643i	$0.801627\pi$
$270$	7.19103	−	13.5335i	0.437632	−	0.823622i
$271$	23.9851			1.45699			0.728497	−	0.685049i	$-0.240219\pi$
$271$	23.9851			1.45699			0.728497	+	0.685049i	$0.240219\pi$
$272$	5.44672	−	20.3274i	0.330256	−	1.23253i
$273$	0.0723405	−	0.431905i	0.00437825	−	0.0261401i
$274$	−18.4926	−	10.6767i	−1.11718	−	0.645005i
$275$	−2.41779	+	4.37656i	−0.145798	+	0.263917i
$276$	−0.0123009	−	0.00560799i	−0.000740425	−	0.000337561i
$277$	13.1310	+	3.51845i	0.788967	+	0.211403i	0.630734	−	0.775999i	$-0.282754\pi$
$277$	13.1310	+	3.51845i	0.788967	+	0.211403i	0.158233	+	0.987402i	$0.449420\pi$
$278$	5.34563	−	5.34563i	0.320610	−	0.320610i
$279$	20.2051	−	17.5537i	1.20965	−	1.05091i
$280$	1.65467	+	1.62372i	0.0988857	+	0.0970357i
$281$	4.76723	−	2.75236i	0.284389	−	0.164192i	−0.351020	−	0.936368i	$-0.614165\pi$
$281$	4.76723	−	2.75236i	0.284389	−	0.164192i	0.635409	+	0.772176i	$0.280832\pi$
$282$	6.86554	−	8.32610i	0.408837	−	0.495812i
$283$	−3.35371	+	0.898623i	−0.199357	+	0.0534176i	−0.357116	−	0.934060i	$-0.616240\pi$
$283$	−3.35371	+	0.898623i	−0.199357	+	0.0534176i	0.157759	+	0.987478i	$0.449573\pi$
$284$	1.51549	−	2.62490i	0.0899277	−	0.155759i
$285$	−1.39547	−	13.2046i	−0.0826604	−	0.782171i
$286$	0.479478	+	0.830480i	0.0283521	+	0.0491073i
$287$	0.0368625	+	0.0368625i	0.00217593	+	0.00217593i
$288$	−4.37643	−	0.307307i	−0.257884	−	0.0181082i
$289$			21.0467i			1.23804i
$290$	1.35304	+	2.29325i	0.0794532	+	0.134664i
$291$	−1.37434	+	3.01455i	−0.0805651	+	0.176716i
$292$	−0.992416	−	3.70375i	−0.0580767	−	0.216745i
$293$	−3.81852	−	14.2509i	−0.223080	−	0.832547i	−0.983165	−	0.182722i	$-0.941509\pi$
$293$	−3.81852	−	14.2509i	−0.223080	−	0.832547i	0.760084	−	0.649824i	$-0.225158\pi$
$294$	−9.12429	−	12.7957i	−0.532139	−	0.746261i
$295$	12.1075	+	3.12197i	0.704925	+	0.181768i
$296$			7.32511i			0.425764i
$297$	−0.133757	−	5.19443i	−0.00776139	−	0.301411i
$298$	19.5993	+	19.5993i	1.13535	+	1.13535i
$299$	−0.0109023	−	0.0188833i	−0.000630495	−	0.00109205i
$300$	0.330270	−	2.22949i	0.0190682	−	0.128720i
$301$	2.16052	−	3.74214i	0.124531	−	0.215693i
$302$	3.78492	−	1.01417i	0.217797	−	0.0583587i
$303$	−2.01044	−	5.37955i	−0.115497	−	0.309047i
$304$	10.1298	−	5.84845i	0.580984	−	0.335431i
$305$	−3.00072	+	3.05793i	−0.171821	+	0.175096i
$306$	−23.9604	+	4.65021i	−1.36973	+	0.265835i
$307$	−21.3983	+	21.3983i	−1.22127	+	1.22127i	−0.254084	+	0.967182i	$0.581774\pi$
$307$	−21.3983	+	21.3983i	−1.22127	+	1.22127i	−0.967182	+	0.254084i	$0.918226\pi$
$308$	0.0874204	+	0.0234242i	0.00498124	+	0.00133472i
$309$	1.43967	+	14.9743i	0.0818999	+	0.851859i
$310$	−12.9410	+	22.9113i	−0.734999	+	1.30128i
$311$	−15.4718	−	8.93265i	−0.877325	−	0.506524i	−0.00754978	−	0.999971i	$-0.502403\pi$
$311$	−15.4718	−	8.93265i	−0.877325	−	0.506524i	−0.869776	+	0.493447i	$0.835737\pi$
$312$	−2.89647	−	2.38837i	−0.163980	−	0.135215i
$313$	−7.77640	+	29.0219i	−0.439548	+	1.64042i	0.290394	+	0.956907i	$0.406214\pi$
$313$	−7.77640	+	29.0219i	−0.439548	+	1.64042i	−0.729942	+	0.683509i	$0.760453\pi$
$314$	18.3330			1.03459
$315$	0.739284	−	2.21261i	0.0416539	−	0.124666i
$316$	−1.58876			−0.0893746
$317$	−6.92101	+	25.8295i	−0.388722	+	1.45073i	0.443492	+	0.896278i	$0.353739\pi$
$317$	−6.92101	+	25.8295i	−0.388722	+	1.45073i	−0.832215	+	0.554454i	$0.812927\pi$
$318$	18.7809	−	7.01877i	1.05318	−	0.393593i
$319$	0.781838	+	0.451394i	0.0437745	+	0.0252732i
$320$	18.8555	−	5.24363i	1.05406	−	0.293128i
$321$	1.37190	−	0.978269i	0.0765722	−	0.0546017i
$322$	0.0132880	+	0.00356051i	0.000740512	+	0.000198420i
$323$	−14.9532	+	14.9532i	−0.832017	+	0.832017i
$324$	0.876157	+	2.17219i	0.0486754	+	0.120677i
$325$	2.52146	−	2.61853i	0.139865	−	0.145250i
$326$	−23.1831	+	13.3848i	−1.28399	+	0.741313i
$327$	8.12204	+	1.36038i	0.449150	+	0.0752290i
$328$	0.431681	−	0.115669i	0.0238356	−	0.00638673i
$329$	0.821361	−	1.42264i	0.0452831	−	0.0784326i
$330$	1.83342	+	4.76811i	0.100927	+	0.262476i
$331$	−0.886036	−	1.53466i	−0.0487009	−	0.0843525i	0.840647	−	0.541583i	$-0.182175\pi$
$331$	−0.886036	−	1.53466i	−0.0487009	−	0.0843525i	−0.889348	+	0.457230i	$0.848841\pi$
$332$	2.81329	+	2.81329i	0.154399	+	0.154399i
$333$	6.62609	−	3.22938i	0.363108	−	0.176969i
$334$			17.4531i			0.954994i
$335$	0.478978	−	0.282601i	0.0261694	−	0.0154402i
$336$	2.04561	−	0.196670i	0.111597	−	0.0107292i
$337$	2.86366	+	10.6873i	0.155993	+	0.582175i	0.999018	+	0.0443006i	$0.0141059\pi$
$337$	2.86366	+	10.6873i	0.155993	+	0.582175i	−0.843025	+	0.537875i	$0.819227\pi$
$338$	4.25751	+	15.8892i	0.231578	+	0.864261i
$339$	−22.0382	+	2.11880i	−1.19695	+	0.115078i
$340$	−3.09150	+	1.82401i	−0.167660	+	0.0989209i
$341$			8.92174i			0.483139i
$342$	−11.2446	−	7.58933i	−0.608039	−	0.410384i
$343$	−3.41292	−	3.41292i	−0.184280	−	0.184280i
$344$	−18.5216	−	32.0803i	−0.998618	−	1.72966i
$345$	−0.0416881	−	0.108416i	−0.00224441	−	0.00583694i
$346$	−5.34232	+	9.25317i	−0.287205	+	0.497454i
$347$	0.0865482	−	0.0231905i	0.00464615	−	0.00124493i	−0.256495	−	0.966545i	$-0.582568\pi$
$347$	0.0865482	−	0.0231905i	0.00464615	−	0.00124493i	0.261141	+	0.965301i	$0.415901\pi$
$348$	−0.401354	−	0.0672235i	−0.0215148	−	0.00360356i
$349$	−16.0685	+	9.27717i	−0.860129	+	0.496595i	−0.864055	−	0.503397i	$-0.832083\pi$
$349$	−16.0685	+	9.27717i	−0.860129	+	0.496595i	0.00392675	+	0.999992i	$0.498750\pi$
$350$	0.0433070	+	2.29307i	0.00231486	+	0.122570i
$351$	−0.883505	+	3.67302i	−0.0471580	+	0.196051i
$352$	1.03408	−	1.03408i	0.0551164	−	0.0551164i
$353$	−9.11957	−	2.44358i	−0.485386	−	0.130059i	0.00782346	−	0.999969i	$-0.497510\pi$
$353$	−9.11957	−	2.44358i	−0.485386	−	0.130059i	−0.493209	+	0.869911i	$0.664176\pi$
$354$	10.4012	−	7.41681i	0.552816	−	0.394199i
$355$	25.0902	−	6.97745i	1.33165	−	0.370324i
$356$	0.945393	+	0.545823i	0.0501057	+	0.0289286i
$357$	−3.48025	+	1.30064i	−0.184194	+	0.0688370i
$358$	−5.20665	+	19.4315i	−0.275180	+	1.02699i
$359$	17.0132			0.897922			0.448961	−	0.893551i	$-0.351794\pi$
$359$	17.0132			0.897922			0.448961	+	0.893551i	$0.351794\pi$
$360$	−13.2580	−	14.9727i	−0.698760	−	0.789128i
$361$	7.24613			0.381376
$362$	−4.29671	+	16.0355i	−0.225830	+	0.842810i
$363$	1.33633	+	1.10191i	0.0701393	+	0.0578355i
$364$	−0.0569842	−	0.0328998i	−0.00298678	−	0.00172442i
$365$	16.2025	−	28.6858i	0.848080	−	1.50148i
$366$	0.418906	+	4.35714i	0.0218966	+	0.227751i
$367$	−24.7766	−	6.63888i	−1.29333	−	0.346547i	−0.454406	−	0.890795i	$-0.650148\pi$
$367$	−24.7766	−	6.63888i	−1.29333	−	0.346547i	−0.838924	+	0.544248i	$0.816815\pi$
$368$	0.0723532	−	0.0723532i	0.00377167	−	0.00377167i
$369$	−0.294943	−	0.339493i	−0.0153541	−	0.0176733i
$370$	−5.07561	+	5.17238i	−0.263869	+	0.268899i
$371$	2.64309	−	1.52599i	0.137222	−	0.0792252i
$372$	−1.40785	−	3.76712i	−0.0729934	−	0.195316i
$373$	−12.7102	+	3.40569i	−0.658109	+	0.176340i	−0.572392	−	0.819980i	$-0.693985\pi$
$373$	−12.7102	+	3.40569i	−0.658109	+	0.176340i	−0.0857164	+	0.996320i	$0.527318\pi$
$374$	4.06792	−	7.04584i	0.210347	−	0.364331i
$375$	15.4422	−	11.6850i	0.797430	−	0.603412i
$376$	−7.04131	−	12.1959i	−0.363128	−	0.628956i
$377$	−0.464115	−	0.464115i	−0.0239032	−	0.0239032i
$378$	−1.24446	−	2.03277i	−0.0640083	−	0.104554i
$379$			24.3049i			1.24846i	0.781241	+	0.624230i	$0.214587\pi$
$379$			24.3049i			1.24846i	−0.781241	+	0.624230i	$0.785413\pi$
$380$	−1.93190	−	0.498151i	−0.0991046	−	0.0255546i
$381$	14.9848	+	21.0143i	0.767692	+	1.07660i
$382$	−6.58412	−	24.5723i	−0.336873	−	1.25723i
$383$	6.87023	+	25.6401i	0.351053	+	1.31015i	0.885380	+	0.464868i	$0.153898\pi$
$383$	6.87023	+	25.6401i	0.351053	+	1.31015i	−0.534327	+	0.845278i	$0.679435\pi$
$384$	6.19320	−	13.5845i	0.316046	−	0.693232i
$385$	0.395149	+	0.669735i	0.0201387	+	0.0341328i
$386$		−	3.38967i		−	0.172530i
$387$	−20.8535	+	30.8972i	−1.06004	+	1.57059i
$388$	0.351999	+	0.351999i	0.0178700	+	0.0178700i
$389$	1.79010	+	3.10055i	0.0907618	+	0.157204i	0.907832	−	0.419334i	$-0.137736\pi$
$389$	1.79010	+	3.10055i	0.0907618	+	0.157204i	−0.817070	+	0.576538i	$0.804403\pi$
$390$	−0.390326	−	3.69345i	−0.0197649	−	0.187025i
$391$	−0.0924955	+	0.160207i	−0.00467770	+	0.00810201i
$392$	−19.8095	+	5.30793i	−1.00053	+	0.268091i
$393$	7.65541	−	9.28401i	0.386164	−	0.468316i
$394$	13.8757	−	8.01113i	0.699047	−	0.403595i
$395$	−9.74319	−	9.56092i	−0.490233	−	0.481062i
$396$	−0.738136	−	0.254400i	−0.0370927	−	0.0127841i
$397$	−19.4858	+	19.4858i	−0.977963	+	0.977963i	−0.999762	−	0.0217991i	$-0.993061\pi$
$397$	−19.4858	+	19.4858i	−0.977963	+	0.977963i	0.0217991	+	0.999762i	$0.493061\pi$
$398$	−9.51239	−	2.54884i	−0.476813	−	0.127762i
$399$	−1.87899	−	0.856637i	−0.0940674	−	0.0428855i
$400$	14.9318	+	8.24895i	0.746592	+	0.412448i
$401$	−22.6093	−	13.0535i	−1.12905	−	0.651860i	−0.185357	−	0.982671i	$-0.559344\pi$
$401$	−22.6093	−	13.0535i	−1.12905	−	0.651860i	−0.943697	+	0.330811i	$0.892678\pi$
$402$	0.0938606	−	0.560389i	0.00468134	−	0.0279497i
$403$	1.67881	−	6.26539i	0.0836273	−	0.312101i
$404$	−0.862905			−0.0429311
$405$	−7.69885	+	18.5938i	−0.382559	+	0.923931i
$406$	0.414105			0.0205517
$407$	−0.635932	+	2.37333i	−0.0315220	+	0.117642i
$408$	−5.26144	+	31.4131i	−0.260480	+	1.55518i
$409$	4.95827	+	2.86266i	0.245171	+	0.141549i	0.617551	−	0.786531i	$-0.288125\pi$
$409$	4.95827	+	2.86266i	0.245171	+	0.141549i	−0.372380	+	0.928080i	$0.621458\pi$
$410$	0.384964	+	0.217439i	0.0190120	+	0.0107385i
$411$	25.5140	+	11.6319i	1.25851	+	0.573759i
$412$	2.18332	+	0.585018i	0.107564	+	0.0288218i
$413$	1.37503	−	1.37503i	0.0676609	−	0.0676609i
$414$	−0.112198	−	0.0386692i	−0.00551422	−	0.00190049i
$415$	0.322760	+	34.1827i	0.0158437	+	1.67796i
$416$	−0.920773	+	0.531608i	−0.0451446	+	0.0260642i
$417$	−6.31565	+	7.65924i	−0.309279	+	0.375074i
$418$	4.36795	−	1.17039i	0.213643	−	0.0572456i
$419$	0.0131326	−	0.0227463i	0.000641569	−	0.00111123i	−0.865704	−	0.500556i	$-0.833129\pi$
$419$	0.0131326	−	0.0227463i	0.000641569	−	0.00111123i	0.866346	+	0.499444i	$0.166462\pi$
$420$	−0.272532	−	0.220435i	−0.0132982	−	0.0107561i
$421$	−4.78402	−	8.28617i	−0.233159	−	0.403843i	0.725577	−	0.688141i	$-0.241573\pi$
$421$	−4.78402	−	8.28617i	−0.233159	−	0.403843i	−0.958736	+	0.284298i	$0.908240\pi$
$422$	−6.56037	−	6.56037i	−0.319354	−	0.319354i
$423$	−7.92781	+	11.7461i	−0.385463	+	0.571115i
$424$		−	26.1637i		−	1.27062i
$425$	−29.9355	−	7.41829i	−1.45209	−	0.359840i
$426$	11.0373	−	24.2099i	0.534760	−	1.17297i
$427$	0.172453	+	0.643605i	0.00834560	+	0.0311462i
$428$	−0.0655265	−	0.244548i	−0.00316734	−	0.0118207i
$429$	−0.731107	−	1.02529i	−0.0352982	−	0.0495014i
$430$	9.15027	−	35.4862i	0.441265	−	1.71129i
$431$			4.09340i			0.197172i	0.995129	+	0.0985860i	$0.0314320\pi$
$431$			4.09340i			0.197172i	−0.995129	+	0.0985860i	$0.968568\pi$
$432$	−17.7222	+	0.456350i	−0.852661	+	0.0219561i
$433$	−16.8111	−	16.8111i	−0.807891	−	0.807891i	0.176423	−	0.984314i	$-0.443547\pi$
$433$	−16.8111	−	16.8111i	−0.807891	−	0.807891i	−0.984314	+	0.176423i	$0.943547\pi$
$434$	2.04618	+	3.54409i	0.0982197	+	0.170122i
$435$	−2.05679	−	2.82754i	−0.0986158	−	0.135570i
$436$	0.618687	−	1.07160i	0.0296297	−	0.0513202i
$437$	−0.0993177	+	0.0266121i	−0.00475101	+	0.00127303i
$438$	−11.7834	−	31.5300i	−0.563032	−	1.50656i
$439$	15.8283	−	9.13850i	0.755446	−	0.436157i	−0.0722125	−	0.997389i	$-0.523006\pi$
$439$	15.8283	−	9.13850i	0.755446	−	0.436157i	0.827658	+	0.561233i	$0.189673\pi$
$440$	6.66600	−	0.0629417i	0.317789	−	0.00300063i
$441$	13.5347	+	15.5790i	0.644509	+	0.741858i
$442$	−4.18255	+	4.18255i	−0.198944	+	0.198944i
$443$	−33.9664	−	9.10127i	−1.61379	−	0.432415i	−0.664623	−	0.747179i	$-0.731408\pi$
$443$	−33.9664	−	9.10127i	−1.61379	−	0.432415i	−0.949170	+	0.314764i	$0.898075\pi$
$444$	−0.105994	−	1.10247i	−0.00503025	−	0.0523208i
$445$	2.51302	+	9.03654i	0.119128	+	0.428373i
$446$	−3.76072	−	2.17125i	−0.178075	−	0.102812i
$447$	−28.0819	−	23.1557i	−1.32823	−	1.09523i
$448$	0.787783	−	2.94004i	0.0372192	−	0.138904i
$449$	−8.59688			−0.405712			−0.202856	−	0.979209i	$-0.565022\pi$
$449$	−8.59688			−0.405712			−0.202856	+	0.979209i	$0.565022\pi$
$450$	1.01293	−	19.7590i	0.0477502	−	0.931448i
$451$	0.149906			0.00705881
$452$	−0.860989	+	3.21325i	−0.0404975	+	0.151139i
$453$	−4.81993	+	1.80130i	−0.226460	+	0.0846325i
$454$	−30.3326	−	17.5125i	−1.42358	−	0.821903i
$455$	−0.151474	−	0.544684i	−0.00710120	−	0.0255352i
$456$	−14.4139	+	10.2782i	−0.674993	+	0.481320i
$457$	16.5684	+	4.43950i	0.775039	+	0.207671i	0.624596	−	0.780948i	$-0.285264\pi$
$457$	16.5684	+	4.43950i	0.775039	+	0.207671i	0.150442	+	0.988619i	$0.451930\pi$
$458$	−11.4493	+	11.4493i	−0.534989	+	0.534989i
$459$	30.7350	−	9.08956i	1.43459	−	0.424264i
$460$	−0.0174521		0.000164786i	−0.000813707		7.68318e-6i
$461$	23.4145	−	13.5184i	1.09052	−	0.629614i	0.156808	−	0.987629i	$-0.449880\pi$
$461$	23.4145	−	13.5184i	1.09052	−	0.629614i	0.933716	+	0.358015i	$0.116546\pi$
$462$	0.783568	+	0.131241i	0.0364549	+	0.00610590i
$463$	31.8442	−	8.53263i	1.47993	−	0.396545i	0.573604	−	0.819133i	$-0.305545\pi$
$463$	31.8442	−	8.53263i	1.47993	−	0.396545i	0.906322	+	0.422588i	$0.138878\pi$
$464$	1.54005	−	2.66745i	0.0714953	−	0.123833i
$465$	14.0363	−	31.5744i	0.650917	−	1.46423i
$466$	11.3699	+	19.6932i	0.526699	+	0.912270i
$467$	21.9939	+	21.9939i	1.01776	+	1.01776i	0.999839	+	0.0179185i	$0.00570393\pi$
$467$	21.9939	+	21.9939i	1.01776	+	1.01776i	0.0179185	+	0.999839i	$0.494296\pi$
$468$	0.470494	+	0.317551i	0.0217486	+	0.0146788i
$469$		−	0.0864916i		−	0.00399381i
$470$	3.47863	−	13.4907i	0.160457	−	0.622279i
$471$	−23.9636	+	2.30392i	−1.10418	+	0.106159i
$472$	−4.31463	−	16.1024i	−0.198597	−	0.741173i
$473$	−3.21592	−	12.0020i	−0.147868	−	0.551851i
$474$	−13.8827	+	1.33472i	−0.637656	+	0.0613058i
$475$	−8.84977	−	14.6809i	−0.406055	−	0.673605i
$476$			0.558248i			0.0255873i
$477$	−23.6670	+	11.5347i	−1.08364	+	0.528136i
$478$	6.89562	+	6.89562i	0.315398	+	0.315398i
$479$	14.0296	+	24.2999i	0.641027	+	1.11029i	0.985204	+	0.171387i	$0.0548248\pi$
$479$	14.0296	+	24.2999i	0.641027	+	1.11029i	−0.344177	+	0.938905i	$0.611842\pi$
$480$	−5.28651	+	2.03276i	−0.241295	+	0.0927824i
$481$	0.893181	−	1.54703i	0.0407255	−	0.0705387i
$482$	36.9035	−	9.88827i	1.68091	−	0.450398i
$483$	−0.0178166	−	0.00298414i	−0.000810685	−	0.000135783i
$484$	0.225382	−	0.130124i	0.0102446	−	0.00591474i
$485$	0.0403837	+	4.27694i	0.00183373	+	0.194206i
$486$	9.48083	+	18.2448i	0.430059	+	0.827602i
$487$	−15.3626	+	15.3626i	−0.696146	+	0.696146i	−0.963577	−	0.267431i	$-0.913825\pi$
$487$	−15.3626	+	15.3626i	−0.696146	+	0.696146i	0.267431	+	0.963577i	$0.413825\pi$
$488$	5.51745	+	1.47840i	0.249763	+	0.0669239i
$489$	28.6213	−	20.4091i	1.29430	−	0.922930i
$490$	−17.6657	−	9.97808i	−0.798054	−	0.450764i
$491$	−25.8813	−	14.9426i	−1.16801	−	0.674349i	−0.214797	−	0.976659i	$-0.568909\pi$
$491$	−25.8813	−	14.9426i	−1.16801	−	0.674349i	−0.953210	+	0.302309i	$0.902242\pi$
$492$	−0.0632965	+	0.0236551i	−0.00285363	+	0.00106646i
$493$	−1.44125	+	5.37883i	−0.0649108	+	0.242250i
$494$	−3.28767			−0.147919
$495$	−2.99574	−	6.00213i	−0.134648	−	0.269776i
$496$	30.4389			1.36675
$497$	1.04826	−	3.91218i	0.0470211	−	0.175485i
$498$	26.9463	+	22.2194i	1.20749	+	0.995674i
$499$	14.2801	+	8.24459i	0.639263	+	0.369079i	0.784331	−	0.620343i	$-0.213007\pi$
$499$	14.2801	+	8.24459i	0.639263	+	0.369079i	−0.145068	+	0.989422i	$0.546340\pi$
$500$	−0.832375	−	2.78807i	−0.0372250	−	0.124686i
$501$	−2.19335	−	22.8135i	−0.0979918	−	1.01923i
$502$	−11.1654	−	2.99177i	−0.498338	−	0.133529i
$503$	17.0226	−	17.0226i	0.759000	−	0.759000i	−0.217140	−	0.976140i	$-0.569673\pi$
$503$	17.0226	−	17.0226i	0.759000	−	0.759000i	0.976140	+	0.217140i	$0.0696728\pi$
$504$	−3.05332	+	0.592586i	−0.136006	+	0.0263959i
$505$	−5.29184	−	5.19284i	−0.235484	−	0.231078i
$506$	0.0342584	−	0.0197791i	0.00152297	−	0.000879287i
$507$	−7.56194	−	20.2343i	−0.335838	−	0.898636i
$508$	3.74590	−	1.00371i	0.166197	−	0.0445324i
$509$	12.0478	−	20.8674i	0.534010	−	0.924932i	−0.465201	−	0.885205i	$-0.654018\pi$
$509$	12.0478	−	20.8674i	0.534010	−	0.924932i	0.999211	−	0.0397266i	$-0.0126487\pi$
$510$	−25.4815	+	18.5356i	−1.12834	+	0.820770i
$511$	−2.56188	−	4.43731i	−0.113331	−	0.196295i
$512$	−17.9125	−	17.9125i	−0.791630	−	0.791630i
$513$	15.6519	+	8.50713i	0.691050	+	0.375599i
$514$		−	23.4079i		−	1.03248i
$515$	9.86882	+	16.7266i	0.434872	+	0.737060i
$516$	3.25180	+	4.56025i	0.143152	+	0.200754i
$517$	−1.22259	−	4.56276i	−0.0537693	−	0.200670i
$518$	0.291699	+	1.08864i	0.0128165	+	0.0478319i
$519$	5.82026	−	12.7665i	0.255481	−	0.560386i
$520$	−4.69312	−	1.21014i	−0.205807	−	0.0530682i
$521$			2.64968i			0.116084i	0.998314	+	0.0580422i	$0.0184858\pi$
$521$			2.64968i			0.116084i	−0.998314	+	0.0580422i	$0.981514\pi$
$522$	−3.56355	−	0.250227i	−0.155972	−	0.0109522i
$523$	−20.1157	−	20.1157i	−0.879600	−	0.879600i	0.113893	−	0.993493i	$-0.463668\pi$
$523$	−20.1157	−	20.1157i	−0.879600	−	0.879600i	−0.993493	+	0.113893i	$0.963668\pi$
$524$	−0.904023	−	1.56581i	−0.0394924	−	0.0684029i
$525$	−0.344780	−	2.99190i	−0.0150474	−	0.130577i
$526$	7.29912	−	12.6424i	0.318257	−	0.551237i
$527$	−53.1559	+	14.2431i	−2.31551	+	0.620438i
$528$	3.75948	−	4.55927i	0.163610	−	0.198417i
$529$	19.9178	−	11.4996i	0.865992	−	0.499980i
$530$	18.1290	−	18.4746i	0.787474	−	0.802487i
$531$	−12.6636	+	11.0019i	−0.549554	+	0.477440i
$532$	−0.219404	+	0.219404i	−0.00951237	+	0.00951237i
$533$	−0.105273	−	0.0282079i	−0.00455989	−	0.00122182i
$534$	8.71950	+	3.97523i	0.377330	+	0.172025i
$535$	1.06981	−	1.89404i	0.0462519	−	0.0818865i
$536$	−0.642131	−	0.370735i	−0.0277358	−	0.0160133i
$537$	4.36380	−	26.0538i	0.188312	−	1.12430i
$538$	−9.09300	+	33.9356i	−0.392027	+	1.46307i
$539$	−6.87906			−0.296302
$540$	2.21206	+	2.06162i	0.0951917	+	0.0887180i
$541$	−18.5189			−0.796190			−0.398095	−	0.917344i	$-0.630329\pi$
$541$	−18.5189			−0.796190			−0.398095	+	0.917344i	$0.630329\pi$
$542$	8.18808	−	30.5583i	0.351708	−	1.31259i
$543$	3.60116	−	21.5005i	0.154541	−	0.922676i
$544$	7.81189	+	4.51020i	0.334932	+	0.193373i
$545$	10.2429	−	2.84849i	0.438756	−	0.122016i
$546$	−0.525574	−	0.239610i	−0.0224925	−	0.0102544i
$547$	9.46404	+	2.53588i	0.404653	+	0.108426i	0.455404	−	0.890285i	$-0.349495\pi$
$547$	9.46404	+	2.53588i	0.404653	+	0.108426i	−0.0507509	+	0.998711i	$0.516161\pi$
$548$	2.97919	−	2.97919i	0.127265	−	0.127265i
$549$	−1.09513	−	5.64270i	−0.0467390	−	0.240825i
$550$	4.75058	+	4.57447i	0.202565	+	0.195056i
$551$	−2.68045	+	1.54756i	−0.114191	+	0.0659281i
$552$	−0.0985235	+	0.119483i	−0.00419344	+	0.00508554i
$553$	−2.05066	+	0.549472i	−0.0872029	+	0.0233659i
$554$	8.96538	−	15.5285i	0.380902	−	0.659742i
$555$	5.98447	−	7.39883i	0.254027	−	0.314063i
$556$	0.745812	+	1.29178i	0.0316295	+	0.0547838i
$557$	10.0338	+	10.0338i	0.425146	+	0.425146i	0.886971	−	0.461825i	$-0.152805\pi$
$557$	10.0338	+	10.0338i	0.425146	+	0.425146i	−0.461825	+	0.886971i	$0.652805\pi$
$558$	−15.4667	−	31.7348i	−0.654758	−	1.34344i
$559$			9.03365i			0.382083i
$560$	2.28498	−	1.34816i	0.0965581	−	0.0569702i
$561$	−4.43184	+	9.72105i	−0.187112	+	0.410423i
$562$	−1.87921	−	7.01330i	−0.0792696	−	0.295838i
$563$	−4.57837	−	17.0867i	−0.192955	−	0.720118i	−0.992787	−	0.119894i	$-0.961745\pi$
$563$	−4.57837	−	17.0867i	−0.192955	−	0.720118i	0.799832	−	0.600225i	$-0.204922\pi$
$564$	1.23623	+	1.73366i	0.0520546	+	0.0730002i
$565$	−24.6170	+	14.5242i	−1.03564	+	0.611039i
$566$			4.57957i			0.192494i
$567$	1.88214	+	2.50070i	0.0790423	+	0.105020i
$568$	−24.5516	−	24.5516i	−1.03016	−	1.03016i
$569$	15.0477	+	26.0635i	0.630834	+	1.09264i	0.987381	+	0.158360i	$0.0506205\pi$
$569$	15.0477	+	26.0635i	0.630834	+	1.09264i	−0.356547	+	0.934277i	$0.616046\pi$
$570$	−17.2997	−	2.72989i	−0.724605	−	0.114343i
$571$	−11.4961	+	19.9119i	−0.481098	+	0.833285i	−0.999765	−	0.0216908i	$-0.993095\pi$
$571$	−11.4961	+	19.9119i	−0.481098	+	0.833285i	0.518667	+	0.854976i	$0.326428\pi$
$572$	−0.182763	+	0.0489711i	−0.00764168	+	0.00204758i
$573$	11.6943	+	31.2917i	0.488537	+	1.30723i
$574$	0.0595490	−	0.0343806i	0.00248553	−	0.00143502i
$575$	−0.108018	−	0.104013i	−0.00450466	−	0.00433766i
$576$	−8.55577	+	24.8243i	−0.356490	+	1.03435i
$577$	10.1707	−	10.1707i	0.423412	−	0.423412i	−0.462965	−	0.886377i	$-0.653214\pi$
$577$	10.1707	−	10.1707i	0.423412	−	0.423412i	0.886377	+	0.462965i	$0.153214\pi$
$578$	26.8146	+	7.18494i	1.11534	+	0.298854i
$579$	0.425983	+	4.43075i	0.0177033	+	0.184136i
$580$	−0.506155	+	0.140759i	−0.0210170	+	0.00584471i
$581$	4.60417	+	2.65822i	0.191013	+	0.110282i
$582$	3.37152	+	2.78009i	0.139754	+	0.115238i
$583$	2.27141	−	8.47703i	0.0940724	−	0.351083i
$584$	−43.9247			−1.81762
$585$	0.974367	+	4.77877i	0.0402851	+	0.197578i
$586$	−19.4600			−0.803884
$587$	3.03467	−	11.3255i	0.125254	−	0.467455i	−0.874594	−	0.484855i	$-0.838872\pi$
$587$	3.03467	−	11.3255i	0.125254	−	0.467455i	0.999849	+	0.0174003i	$0.00553898\pi$
$588$	2.90462	−	1.08551i	0.119785	−	0.0447658i
$589$	−26.4893	−	15.2936i	−1.09147	−	0.630162i
$590$	8.11082	−	14.3598i	0.333917	−	0.591183i
$591$	−17.1306	+	12.2154i	−0.704658	+	0.502473i
$592$	8.09727	+	2.16966i	0.332796	+	0.0891723i
$593$	11.8995	−	11.8995i	0.488655	−	0.488655i	−0.419226	−	0.907882i	$-0.637699\pi$
$593$	11.8995	−	11.8995i	0.488655	−	0.488655i	0.907882	+	0.419226i	$0.137699\pi$
$594$	−6.66364	−	1.60287i	−0.273412	−	0.0657665i
$595$	−3.35946	+	3.42350i	−0.137724	+	0.140350i
$596$	−4.73620	+	2.73445i	−0.194002	+	0.112007i
$597$	12.7542	+	2.13623i	0.521997	+	0.0874302i
$598$	−0.0277802	+	0.00744367i	−0.00113602	+	0.000304394i
$599$	−14.3130	+	24.7908i	−0.584812	+	1.01292i	0.410087	+	0.912046i	$0.365498\pi$
$599$	−14.3130	+	24.7908i	−0.584812	+	1.01292i	−0.994899	+	0.100877i	$0.967835\pi$
$600$	−23.6903	−	10.2646i	−0.967152	−	0.419052i
$601$	8.14428	+	14.1063i	0.332212	+	0.575409i	0.982945	−	0.183898i	$-0.0588716\pi$
$601$	8.14428	+	14.1063i	0.332212	+	0.575409i	−0.650733	+	0.759307i	$0.725538\pi$
$602$	−4.03012	−	4.03012i	−0.164255	−	0.164255i
$603$	−0.0522635	+	0.744297i	−0.00212833	+	0.0303101i
$604$			0.773139i			0.0314586i
$605$	2.16524	+	0.558318i	0.0880297	+	0.0226989i
$606$	−7.54016	+	0.724930i	−0.306298	+	0.0294483i
$607$	−2.60325	−	9.71548i	−0.105663	−	0.394339i	0.892757	−	0.450539i	$-0.148768\pi$
$607$	−2.60325	−	9.71548i	−0.105663	−	0.394339i	−0.998420	+	0.0562000i	$0.982102\pi$
$608$	1.29764	+	4.84285i	0.0526262	+	0.196404i
$609$	−0.541289	+	0.0520409i	−0.0219341	+	0.00210880i
$610$	2.87157	+	4.86699i	0.116266	+	0.197059i
$611$			3.43430i			0.138937i
$612$	0.337328	−	4.80397i	0.0136357	−	0.194189i
$613$	−0.333670	−	0.333670i	−0.0134768	−	0.0134768i	0.700336	−	0.713813i	$-0.253033\pi$
$613$	−0.333670	−	0.333670i	−0.0134768	−	0.0134768i	−0.713813	+	0.700336i	$0.753033\pi$
$614$	19.9576	+	34.5676i	0.805423	+	1.39503i
$615$	−0.530525	−	0.235842i	−0.0213928	−	0.00951009i
$616$	0.518382	−	0.897865i	0.0208862	−	0.0361760i
$617$	−15.4271	+	4.13369i	−0.621073	+	0.166416i	−0.555615	−	0.831439i	$-0.687517\pi$
$617$	−15.4271	+	4.13369i	−0.621073	+	0.166416i	−0.0654574	+	0.997855i	$0.520851\pi$
$618$	19.5695	+	3.27774i	0.787202	+	0.131850i
$619$	32.0000	−	18.4752i	1.28619	−	0.742581i	0.308215	−	0.951317i	$-0.400268\pi$
$619$	32.0000	−	18.4752i	1.28619	−	0.742581i	0.977972	+	0.208736i	$0.0669350\pi$
$620$	−3.70570	−	3.63637i	−0.148824	−	0.146040i
$621$	0.151517	+	0.0364457i	0.00608016	+	0.00146252i
$622$	−16.6624	+	16.6624i	−0.668103	+	0.668103i
$623$	1.40902	+	0.377546i	0.0564512	+	0.0151261i
$624$	−3.49805	+	2.49437i	−0.140034	+	0.0998548i
$625$	11.6736	−	22.1072i	0.466943	−	0.884287i
$626$	34.3207	+	19.8151i	1.37173	+	0.791970i
$627$	−5.56240	+	2.07878i	−0.222141	+	0.0830183i
$628$	−0.936211	+	3.49399i	−0.0373589	+	0.139425i
$629$	−15.1556			−0.604293
$630$	−2.56660	−	1.69723i	−0.102256	−	0.0676193i
$631$	10.2968			0.409908			0.204954	−	0.978772i	$-0.434296\pi$
$631$	10.2968			0.409908			0.204954	+	0.978772i	$0.434296\pi$
$632$	−4.71048	+	17.5797i	−0.187373	+	0.699285i
$633$	9.39971	+	7.75082i	0.373605	+	0.308067i
$634$	30.5455	+	17.6354i	1.21312	+	0.700393i
$635$	29.0122	+	16.3869i	1.15131	+	0.650296i
$636$	0.378588	+	3.93778i	0.0150120	+	0.156143i
$637$	4.83090	+	1.29444i	0.191407	+	0.0512874i
$638$	0.842005	−	0.842005i	0.0333353	−	0.0333353i
$639$	−11.3847	+	33.0325i	−0.450374	+	1.30675i
$640$	−0.181982	−	19.2733i	−0.00719347	−	0.761842i
$641$	5.74631	−	3.31763i	0.226965	−	0.131039i	−0.382206	−	0.924077i	$-0.624835\pi$
$641$	5.74631	−	3.31763i	0.226965	−	0.131039i	0.609171	+	0.793039i	$0.291502\pi$
$642$	−0.778024	−	2.08184i	−0.0307061	−	0.0821637i
$643$	−34.8519	+	9.33854i	−1.37443	+	0.368276i	−0.869093	−	0.494648i	$-0.835297\pi$
$643$	−34.8519	+	9.33854i	−1.37443	+	0.368276i	−0.505333	+	0.862925i	$0.668630\pi$
$644$	−0.00135716	+	0.00235067i	−5.34797e−5	+	9.26295e-5i
$645$	−7.50102	+	47.5350i	−0.295353	+	1.87169i
$646$	13.9464	+	24.1559i	0.548714	+	0.950400i
$647$	−9.39362	−	9.39362i	−0.369301	−	0.369301i	0.497921	−	0.867222i	$-0.334097\pi$
$647$	−9.39362	−	9.39362i	−0.369301	−	0.369301i	−0.867222	+	0.497921i	$0.834097\pi$
$648$	26.6332	−	3.25445i	1.04625	−	0.127847i
$649$		−	5.59174i		−	0.219495i
$650$	−2.47537	−	4.10639i	−0.0970920	−	0.161066i
$651$	−3.12001	−	4.37544i	−0.122283	−	0.171487i
$652$	−1.36704	−	5.10187i	−0.0535375	−	0.199805i
$653$	−2.08105	−	7.76659i	−0.0814378	−	0.303930i	0.913178	−	0.407561i	$-0.133621\pi$
$653$	−2.08105	−	7.76659i	−0.0814378	−	0.303930i	−0.994616	+	0.103631i	$0.966954\pi$
$654$	4.50590	−	9.88350i	0.176195	−	0.386476i
$655$	3.87885	−	15.0428i	0.151559	−	0.587770i
$656$		−	0.511446i		−	0.0199686i
$657$	19.3648	+	39.7330i	0.755494	+	1.55013i
$658$	−1.53212	−	1.53212i	−0.0597282	−	0.0597282i
$659$	3.97549	+	6.88575i	0.154863	+	0.268231i	0.933009	−	0.359853i	$-0.117173\pi$
$659$	3.97549	+	6.88575i	0.154863	+	0.268231i	−0.778146	+	0.628083i	$0.783840\pi$
$660$	−1.00236	+	0.105930i	−0.0390167	+	0.00412331i
$661$	−9.18669	+	15.9118i	−0.357321	+	0.618898i	−0.987512	−	0.157542i	$-0.949643\pi$
$661$	−9.18669	+	15.9118i	−0.357321	+	0.618898i	0.630192	+	0.776440i	$0.282976\pi$
$662$	−2.25771	+	0.604952i	−0.0877485	+	0.0235121i
$663$	4.94152	−	5.99277i	0.191913	−	0.232740i
$664$	39.4704	−	22.7882i	1.53175	−	0.884355i
$665$	−2.66585	+	0.0251715i	−0.103377	+	0.000976110i
$666$	−1.85238	−	9.54444i	−0.0717781	−	0.369840i
$667$	−0.0191454	+	0.0191454i	−0.000741311	+	0.000741311i
$668$	−3.32631	−	0.891281i	−0.128699	−	0.0344847i
$669$	5.18861	+	2.36550i	0.200603	+	0.0914554i
$670$	−0.196535	−	0.706718i	−0.00759280	−	0.0273029i
$671$	1.65930	+	0.957999i	0.0640567	+	0.0369831i
$672$	−0.145510	+	0.868761i	−0.00561318	+	0.0335132i
$673$	−4.20730	+	15.7019i	−0.162180	+	0.605262i	0.836204	+	0.548419i	$0.184770\pi$
$673$	−4.20730	+	15.7019i	−0.162180	+	0.605262i	−0.998383	+	0.0568432i	$0.981896\pi$
$674$	14.5938			0.562132
$675$	1.15909	+	25.9549i	0.0446135	+	0.999004i
$676$	−3.24567			−0.124834
$677$	−10.4069	+	38.8392i	−0.399971	+	1.49271i	0.413176	+	0.910651i	$0.364420\pi$
$677$	−10.4069	+	38.8392i	−0.399971	+	1.49271i	−0.813146	+	0.582059i	$0.802247\pi$
$678$	−4.82395	+	28.8011i	−0.185263	+	1.10610i
$679$	0.576074	+	0.332597i	0.0221077	+	0.0127639i
$680$	11.0169	+	39.6157i	0.422480	+	1.51919i
$681$	41.8495	+	19.0792i	1.60368	+	0.731118i
$682$	11.3668	+	3.04572i	0.435256	+	0.116626i
$683$	22.9623	−	22.9623i	0.878629	−	0.878629i	−0.114764	−	0.993393i	$-0.536611\pi$
$683$	22.9623	−	22.9623i	0.878629	−	0.878629i	0.993393	+	0.114764i	$0.0366111\pi$
$684$	2.02064	−	1.75549i	0.0772612	−	0.0671228i
$685$	36.1985	−	0.341793i	1.38307	−	0.0130592i
$686$	−5.51334	+	3.18313i	−0.210500	+	0.121532i
$687$	13.5269	−	16.4045i	0.516082	−	0.625872i
$688$	−40.9480	+	10.9720i	−1.56113	+	0.418303i
$689$	−3.19025	+	5.52568i	−0.121539	+	0.210512i
$690$	−0.152360	+	0.0161015i	−0.00580023	+	0.000612973i
$691$	−9.33739	−	16.1728i	−0.355211	−	0.615243i	0.631943	−	0.775015i	$-0.282258\pi$
$691$	−9.33739	−	16.1728i	−0.355211	−	0.615243i	−0.987154	+	0.159771i	$0.948924\pi$
$692$	−1.49070	−	1.49070i	−0.0566679	−	0.0566679i
$693$	−1.04072	−	0.0730778i	−0.0395337	−	0.00277600i
$694$		−	0.118184i		−	0.00448620i
$695$	−3.20002	+	12.4102i	−0.121384	+	0.470744i
$696$	−1.93380	+	4.24171i	−0.0733005	+	0.160781i
$697$	0.239317	+	0.893144i	0.00906479	+	0.0338303i
$698$	6.33411	+	23.6392i	0.239749	+	0.894757i
$699$	−17.3368	−	24.3127i	−0.655737	−	0.919592i
$700$	−0.439236	−	0.108847i	−0.0166015	−	0.00411401i
$701$			39.9949i			1.51059i	0.655387	+	0.755293i	$0.272506\pi$
$701$			39.9949i			1.51059i	−0.655387	+	0.755293i	$0.727494\pi$
$702$	4.37800	+	2.37953i	0.165237	+	0.0898096i
$703$	−5.95648	−	5.95648i	−0.224653	−	0.224653i
$704$	−4.37623	−	7.57984i	−0.164935	−	0.285676i
$705$	−2.85164	+	18.0713i	−0.107399	+	0.680603i
$706$	−6.22650	+	10.7846i	−0.234338	+	0.405885i
$707$	−1.11378	+	0.298436i	−0.0418879	+	0.0112238i
$708$	0.882374	+	2.36106i	0.0331617	+	0.0887341i
$709$	−35.4969	+	20.4941i	−1.33311	+	0.769673i	−0.985776	−	0.168067i	$-0.946247\pi$
$709$	−35.4969	+	20.4941i	−1.33311	+	0.769673i	−0.347337	+	0.937740i	$0.612914\pi$
$710$	−0.324322	−	34.3482i	−0.0121716	−	1.28906i
$711$	17.9788	−	3.48931i	0.674259	−	0.130859i
$712$	8.84256	−	8.84256i	0.331389	−	0.331389i
$713$	−0.258455	−	0.0692529i	−0.00967923	−	0.00259354i
$714$	0.468987	+	4.87804i	0.0175514	+	0.182556i
$715$	−1.41551	−	0.799520i	−0.0529370	−	0.0299003i
$716$	−3.43746	−	1.98462i	−0.128464	−	0.0741686i
$717$	−9.88006	−	8.14690i	−0.368977	−	0.304252i
$718$	5.80799	−	21.6757i	0.216752	−	0.808930i
$719$	−8.19834			−0.305747			−0.152873	−	0.988246i	$-0.548853\pi$
$719$	−8.19834			−0.305747			−0.152873	+	0.988246i	$0.548853\pi$
$720$	−20.4779	+	10.2208i	−0.763166	+	0.380906i
$721$	3.02040			0.112486
$722$	2.47370	−	9.23196i	0.0920614	−	0.343578i
$723$	−46.9951	+	17.5630i	−1.74777	+	0.653174i
$724$	−2.83671	−	1.63778i	−0.105426	−	0.0608675i
$725$	−3.95111	−	2.18275i	−0.146741	−	0.0810654i
$726$	1.86010	−	1.32639i	0.0690346	−	0.0492268i
$727$	−1.16130	−	0.311170i	−0.0430703	−	0.0115407i	0.237220	−	0.971456i	$-0.423764\pi$
$727$	−1.16130	−	0.311170i	−0.0430703	−	0.0115407i	−0.280290	+	0.959915i	$0.590431\pi$
$728$	−0.532991	+	0.532991i	−0.0197540	+	0.0197540i
$729$	−14.6855	−	22.6569i	−0.543908	−	0.839145i
$730$	−31.0159	−	30.4357i	−1.14795	−	1.12647i
$731$	66.3739	−	38.3210i	2.45493	−	1.41735i
$732$	−0.851797	−	0.142669i	−0.0314833	−	0.00527320i
$733$	45.1455	−	12.0967i	1.66749	−	0.446802i	0.703055	−	0.711136i	$-0.251819\pi$
$733$	45.1455	−	12.0967i	1.66749	−	0.446802i	0.964431	+	0.264334i	$0.0851521\pi$
$734$	−16.9166	+	29.3004i	−0.624402	+	1.08150i
$735$	24.3453	+	10.8226i	0.897990	+	0.399198i
$736$	0.0219295	+	0.0379831i	0.000808334	+	0.00140008i
$737$	−0.175865	−	0.175865i	−0.00647805	−	0.00647805i
$738$	−0.533220	+	0.259877i	−0.0196281	+	0.00956620i
$739$		−	45.0297i		−	1.65644i	−0.560401	−	0.828222i	$-0.689353\pi$
$739$		−	45.0297i		−	1.65644i	0.560401	−	0.828222i	$-0.310647\pi$
$740$	−0.726581	−	1.23147i	−0.0267096	−	0.0452699i
$741$	4.29742	−	0.413165i	0.157870	−	0.0151780i
$742$	−1.04189	−	3.88837i	−0.0382489	−	0.142747i
$743$	9.26192	+	34.5659i	0.339787	+	1.26810i	0.898586	+	0.438798i	$0.144596\pi$
$743$	9.26192	+	34.5659i	0.339787	+	1.26810i	−0.558799	+	0.829303i	$0.688738\pi$
$744$	−45.8577	+	4.40887i	−1.68122	+	0.161637i
$745$	−45.5007	−	11.7326i	−1.66702	−	0.429848i
$746$			17.3561i			0.635452i
$747$	−38.0147	−	25.6573i	−1.39088	−	0.938750i
$748$	1.13509	+	1.13509i	0.0415031	+	0.0415031i
$749$	−0.169154	−	0.292983i	−0.00618076	−	0.0107054i
$750$	−9.61566	−	23.6632i	−0.351114	−	0.864057i
$751$	18.4171	−	31.8993i	0.672049	−	1.16402i	−0.305273	−	0.952265i	$-0.598748\pi$
$751$	18.4171	−	31.8993i	0.672049	−	1.16402i	0.977322	−	0.211758i	$-0.0679188\pi$
$752$	−15.5671	+	4.17119i	−0.567673	+	0.152108i
$753$	14.9707	+	2.50747i	0.545562	+	0.0913771i
$754$	−0.749748	+	0.432867i	−0.0273042	+	0.0157641i
$755$	−4.65264	+	4.74134i	−0.169327	+	0.172555i
$756$	0.450966	−	0.133369i	0.0164015	−	0.00485057i
$757$	29.7998	−	29.7998i	1.08309	−	1.08309i	0.0868734	−	0.996219i	$-0.472312\pi$
$757$	29.7998	−	29.7998i	1.08309	−	1.08309i	0.996219	−	0.0868734i	$-0.0276876\pi$
$758$	30.9657	+	8.29725i	1.12473	+	0.301370i
$759$	−0.0422945	+	0.0301591i	−0.00153519	+	0.00109471i
$760$	−11.2400	+	19.8997i	−0.407716	+	0.721840i
$761$	22.6510	+	13.0776i	0.821098	+	0.474061i	0.850795	−	0.525498i	$-0.176121\pi$
$761$	22.6510	+	13.0776i	0.821098	+	0.474061i	−0.0296972	+	0.999559i	$0.509454\pi$
$762$	31.8888	−	11.9175i	1.15521	−	0.431725i
$763$	0.427946	−	1.59712i	0.0154927	−	0.0578195i
$764$	5.01934			0.181593
$765$	30.9783	−	27.4307i	1.12002	−	0.991761i
$766$	35.0122			1.26504
$767$	−1.05220	+	3.92686i	−0.0379927	+	0.141791i
$768$	8.19923	+	6.76093i	0.295864	+	0.243964i
$769$	−35.7912	−	20.6641i	−1.29066	−	0.745165i	−0.311892	−	0.950118i	$-0.600963\pi$
$769$	−35.7912	−	20.6641i	−1.29066	−	0.745165i	−0.978772	+	0.204952i	$0.934296\pi$
$770$	0.988174	−	0.274806i	0.0356113	−	0.00990333i
$771$	2.94169	+	30.5972i	0.105943	+	1.10193i
$772$	0.646021	+	0.173101i	0.0232508	+	0.00623003i
$773$	−12.1502	+	12.1502i	−0.437012	+	0.437012i	−0.891005	−	0.453993i	$-0.849999\pi$
$773$	−12.1502	+	12.1502i	−0.437012	+	0.437012i	0.453993	+	0.891005i	$0.349999\pi$
$774$	32.2457	+	37.1161i	1.15905	+	1.33411i
$775$	−0.842333	−	44.6007i	−0.0302575	−	1.60211i
$776$	4.93853	−	2.85126i	0.177283	−	0.102354i
$777$	−0.518098	−	1.38633i	−0.0185867	−	0.0497343i
$778$	4.56137	−	1.22222i	0.163533	−	0.0438185i
$779$	−0.256969	+	0.445083i	−0.00920685	+	0.0159467i
$780$	0.723849	+	0.114223i	0.0259180	+	0.00408986i
$781$	−5.82323	−	10.0861i	−0.208372	−	0.360910i
$782$	0.172536	+	0.172536i	0.00616987	+	0.00616987i
$783$	4.68947	−	0.120755i	0.167588	−	0.00431542i
$784$			23.4698i			0.838207i
$785$	−26.7677	+	15.7932i	−0.955381	+	0.563683i
$786$	−9.21490	−	12.9228i	−0.328685	−	0.460940i
$787$	−1.44884	−	5.40715i	−0.0516456	−	0.192744i	0.935283	−	0.353900i	$-0.115145\pi$
$787$	−1.44884	−	5.40715i	−0.0516456	−	0.192744i	−0.986929	+	0.161156i	$0.948478\pi$
$788$	0.818211	+	3.05360i	0.0291475	+	0.108780i
$789$	−7.95211	+	17.4426i	−0.283103	+	0.620973i
$790$	−15.5073	+	9.14942i	−0.551723	+	0.325522i
$791$			4.44522i			0.158054i
$792$	−5.00345	+	7.41328i	−0.177790	+	0.263419i
$793$	−0.984997	−	0.984997i	−0.0349783	−	0.0349783i
$794$	18.1738	+	31.4780i	0.644965	+	1.11711i
$795$	−21.3753	+	26.4271i	−0.758103	+	0.937271i
$796$	0.971540	−	1.68276i	0.0344353	−	0.0596437i
$797$	−8.94879	+	2.39782i	−0.316982	+	0.0849352i	−0.413802	−	0.910367i	$-0.635800\pi$
$797$	−8.94879	+	2.39782i	−0.316982	+	0.0849352i	0.0968200	+	0.995302i	$0.469133\pi$
$798$	−1.73285	+	2.10150i	−0.0613424	+	0.0743922i
$799$	25.2332	−	14.5684i	0.892687	−	0.515393i
$800$	−5.07182	+	5.26708i	−0.179316	+	0.186220i
$801$	−11.8971	−	4.10036i	−0.420363	−	0.144879i
$802$	−24.3492	+	24.3492i	−0.859801	+	0.859801i
$803$	−14.2316	−	3.81334i	−0.502221	−	0.134570i
$804$	0.102009	+	0.0465059i	0.00359756	+	0.00164014i
$805$	−0.0224689	+	0.00624849i	−0.000791925	+	0.000220230i
$806$	−7.40932	−	4.27777i	−0.260982	−	0.150678i
$807$	7.62104	−	45.5009i	0.268273	−	1.60171i
$808$	−2.55841	+	9.54812i	−0.0900046	+	0.335902i
$809$	29.4028			1.03375			0.516873	−	0.856062i	$-0.327096\pi$
$809$	29.4028			1.03375			0.516873	+	0.856062i	$0.327096\pi$
$810$	21.0612	+	16.1563i	0.740014	+	0.567675i
$811$	−12.6939			−0.445743			−0.222872	−	0.974848i	$-0.571543\pi$
$811$	−12.6939			−0.445743			−0.222872	+	0.974848i	$0.571543\pi$
$812$	−0.0211471	+	0.0789221i	−0.000742118	+	0.00276962i
$813$	−6.86260	+	40.9727i	−0.240682	+	1.43698i
$814$	2.80665	+	1.62042i	0.0983731	+	0.0567958i
$815$	22.3188	−	39.5143i	0.781794	−	1.38413i
$816$	33.1660	+	15.1204i	1.16104	+	0.529321i
$817$	41.1474	+	11.0254i	1.43957	+	0.385731i
$818$	5.33984	−	5.33984i	0.186703	−	0.186703i
$819$	0.717106	+	0.247152i	0.0250577	+	0.00863620i
$820$	−0.0610996	+	0.0622645i	−0.00213369	+	0.00217437i
$821$	35.2415	−	20.3467i	1.22994	−	0.710105i	0.262921	−	0.964817i	$-0.415314\pi$
$821$	35.2415	−	20.3467i	1.22994	−	0.710105i	0.967017	+	0.254712i	$0.0819807\pi$
$822$	23.5297	−	28.5353i	0.820691	−	0.995284i
$823$	−6.02390	+	1.61410i	−0.209980	+	0.0562639i	−0.362276	−	0.932071i	$-0.618000\pi$
$823$	−6.02390	+	1.61410i	−0.209980	+	0.0562639i	0.152296	+	0.988335i	$0.451333\pi$
$824$	12.9466	−	22.4241i	0.451014	−	0.781180i
$825$	−6.78451	−	5.38242i	−0.236206	−	0.187392i
$826$	−1.28245	−	2.22127i	−0.0446222	−	0.0772879i
$827$	−31.6365	−	31.6365i	−1.10011	−	1.10011i	−0.994397	−	0.105714i	$-0.966287\pi$
$827$	−31.6365	−	31.6365i	−1.10011	−	1.10011i	−0.105714	−	0.994397i	$-0.533713\pi$
$828$	0.0130994	−	0.0194085i	0.000455235	−	0.000674491i
$829$			23.2812i			0.808591i	0.914628	+	0.404295i	$0.132483\pi$
$829$			23.2812i			0.808591i	−0.914628	+	0.404295i	$0.867517\pi$
$830$	43.6607	+	11.2581i	1.51549	+	0.390775i
$831$	−9.76744	+	21.4245i	−0.338829	+	0.743206i
$832$	1.64695	+	6.14651i	0.0570978	+	0.213092i
$833$	−10.9821	−	40.9856i	−0.380506	−	1.42007i
$834$	7.60222	+	10.6612i	0.263243	+	0.369167i
$835$	−15.0353	−	25.4831i	−0.520317	−	0.881879i
$836$			0.892234i			0.0308586i
$837$	24.2051	+	39.5378i	0.836652	+	1.36663i
$838$	−0.0244968	−	0.0244968i	−0.000846228	−	0.000846228i
$839$	28.1597	+	48.7740i	0.972180	+	1.68387i	0.688942	+	0.724816i	$0.258075\pi$
$839$	28.1597	+	48.7740i	0.972180	+	1.68387i	0.283238	+	0.959050i	$0.408591\pi$
$840$	−3.24716	+	2.36203i	−0.112038	+	0.0814977i
$841$	14.0925	−	24.4089i	0.485948	−	0.841686i
$842$	−12.1902	+	3.26635i	−0.420102	+	0.112566i
$843$	3.33774	+	8.93114i	0.114958	+	0.307605i
$844$	1.58533	−	0.915290i	0.0545692	−	0.0315056i
$845$	−19.9044	−	19.5320i	−0.684731	−	0.671921i
$846$	12.2587	+	14.1104i	0.421465	+	0.485124i
$847$	0.245904	−	0.245904i	0.00844936	−	0.00844936i
$848$	−28.9217	−	7.74955i	−0.993176	−	0.266121i
$849$	−0.575519	−	5.98610i	−0.0197518	−	0.205442i
$850$	−19.6707	+	35.6070i	−0.674700	+	1.22131i
$851$	−0.0638172	−	0.0368449i	−0.00218763	−	0.00126303i
$852$	4.05040	+	3.33988i	0.138764	+	0.114422i
$853$	−5.17597	+	19.3170i	−0.177222	+	0.661401i	0.818941	+	0.573878i	$0.194562\pi$
$853$	−5.17597	+	19.3170i	−0.177222	+	0.661401i	−0.996163	+	0.0875227i	$0.972105\pi$
$854$	0.878859			0.0300739
$855$	22.9560	+	1.39426i	0.785080	+	0.0476827i
$856$	−2.90023			−0.0991277
$857$	4.36114	−	16.2760i	0.148974	−	0.555977i	−0.850573	−	0.525858i	$-0.823744\pi$
$857$	4.36114	−	16.2760i	0.148974	−	0.555977i	0.999546	−	0.0301198i	$-0.00958888\pi$
$858$	−1.55586	+	0.581454i	−0.0531161	+	0.0198505i
$859$	3.85879	+	2.22787i	0.131660	+	0.0760140i	0.564383	−	0.825513i	$-0.309114\pi$
$859$	3.85879	+	2.22787i	0.131660	+	0.0760140i	−0.432723	+	0.901527i	$0.642447\pi$
$860$	6.29585	+	3.55608i	0.214687	+	0.121261i
$861$	−0.0735177	+	0.0524235i	−0.00250547	+	0.00178659i
$862$	5.21520	+	1.39741i	0.177631	+	0.0475960i
$863$	−28.3160	+	28.3160i	−0.963888	+	0.963888i	−0.999370	−	0.0354828i	$-0.988703\pi$
$863$	−28.3160	+	28.3160i	−0.963888	+	0.963888i	0.0354828	+	0.999370i	$0.488703\pi$
$864$	1.77714	−	7.38814i	0.0604595	−	0.251350i
$865$	−0.171023	−	18.1127i	−0.00581497	−	0.615849i
$866$	−27.1573	+	15.6793i	−0.922842	+	0.532803i
$867$	−35.9531	−	6.02185i	−1.22103	−	0.204513i
$868$	−0.779942	+	0.208985i	−0.0264730	+	0.00709341i
$869$	−3.05238	+	5.28688i	−0.103545	+	0.179345i
$870$	−4.30459	+	1.65519i	−0.145939	+	0.0561163i
$871$	0.0904103	+	0.156595i	0.00306344	+	0.00530603i
$872$	−10.0230	−	10.0230i	−0.339421	−	0.339421i
$873$	−4.75640	−	3.21024i	−0.160980	−	0.108650i
$874$			0.135621i			0.00458744i
$875$	−2.03863	−	3.31077i	−0.0689182	−	0.111924i
$876$	6.61089	−	0.635588i	0.223361	−	0.0214745i
$877$	6.06053	+	22.6182i	0.204650	+	0.763763i	0.989556	+	0.144149i	$0.0460443\pi$
$877$	6.06053	+	22.6182i	0.204650	+	0.763763i	−0.784906	+	0.619614i	$0.787289\pi$
$878$	−6.23943	−	23.2859i	−0.210570	−	0.785860i
$879$	25.4367	−	2.44555i	0.857960	−	0.0824864i
$880$	1.90485	−	7.38732i	0.0642126	−	0.249027i
$881$			0.630926i			0.0212564i	0.999944	+	0.0106282i	$0.00338313\pi$
$881$			0.630926i			0.0212564i	−0.999944	+	0.0106282i	$0.996617\pi$
$882$	24.4690	−	11.9255i	0.823913	−	0.401553i
$883$	−5.88319	−	5.88319i	−0.197985	−	0.197985i	0.601151	−	0.799136i	$-0.294709\pi$
$883$	−5.88319	−	5.88319i	−0.197985	−	0.197985i	−0.799136	+	0.601151i	$0.794709\pi$
$884$	−0.583541	−	1.01072i	−0.0196266	−	0.0339943i
$885$	−8.79730	+	19.7894i	−0.295718	+	0.665214i
$886$	−23.1910	+	40.1680i	−0.779117	+	1.34947i
$887$	22.0657	−	5.91250i	0.740895	−	0.198522i	0.131419	−	0.991327i	$-0.458047\pi$
$887$	22.0657	−	5.91250i	0.740895	−	0.198522i	0.609476	+	0.792805i	$0.291380\pi$
$888$	−12.5132	−	2.09585i	−0.419914	−	0.0703322i
$889$	4.48781	−	2.59104i	0.150516	−	0.0869006i
$890$	12.3709	−	0.116809i	0.414675	−	0.00391544i
$891$	8.91168	+	1.25773i	0.298553	+	0.0421356i
$892$	0.605857	−	0.605857i	0.0202856	−	0.0202856i
$893$	15.6429	+	4.19151i	0.523470	+	0.140263i
$894$	−39.0883	+	27.8728i	−1.30731	+	0.932207i
$895$	−9.13736	−	32.8570i	−0.305428	−	1.09829i
$896$	−2.59597	−	1.49879i	−0.0867254	−	0.0500709i
$897$	0.0353768	−	0.0132210i	0.00118120	−	0.000441437i
$898$	−2.93482	+	10.9529i	−0.0979361	+	0.365502i
$899$	−8.05444			−0.268631
$900$	3.71404	+	1.20208i	0.123801	+	0.0400695i
$901$	54.1325			1.80342
$902$	0.0511752	−	0.190988i	0.00170395	−	0.00635922i
$903$	5.77436	+	4.76142i	0.192159	+	0.158450i
$904$	33.0022	+	19.0538i	1.09764	+	0.633721i
$905$	−7.54048	−	27.1148i	−0.250654	−	0.901325i
$906$	0.649517	+	6.75578i	0.0215788	+	0.224446i
$907$	−10.2012	−	2.73339i	−0.338724	−	0.0907608i	0.0854476	−	0.996343i	$-0.472768\pi$
$907$	−10.2012	−	2.73339i	−0.338724	−	0.0907608i	−0.424172	+	0.905582i	$0.639435\pi$
$908$	4.88662	−	4.88662i	0.162168	−	0.162168i
$909$	9.76488	−	1.89516i	0.323881	−	0.0628584i
$910$	−0.745666	+	0.00704073i	−0.0247186	+	0.000233398i
$911$	−22.6313	+	13.0662i	−0.749809	+	0.432902i	−0.825625	−	0.564219i	$-0.809177\pi$
$911$	−22.6313	+	13.0662i	−0.749809	+	0.432902i	0.0758159	+	0.997122i	$0.475844\pi$
$912$	7.09231	+	18.9776i	0.234850	+	0.628413i
$913$	14.7667	−	3.95673i	0.488708	−	0.130949i
$914$	11.3123	−	19.5935i	0.374178	−	0.648095i
$915$	−4.36516	−	6.00093i	−0.144308	−	0.198385i
$916$	−1.59738	−	2.76674i	−0.0527789	−	0.0914157i
$917$	−1.70839	−	1.70839i	−0.0564159	−	0.0564159i
$918$	−1.08823	−	42.2610i	−0.0359168	−	1.39482i
$919$		−	7.01240i		−	0.231318i	−0.993289	−	0.115659i	$-0.963102\pi$
$919$		−	7.01240i		−	0.231318i	0.993289	−	0.115659i	$-0.0368979\pi$
$920$	−0.0499199	+	0.193597i	−0.00164581	+	0.00638271i
$921$	−30.4313	−	42.6762i	−1.00275	−	1.40623i
$922$	−9.22985	−	34.4463i	−0.303969	−	1.13443i
$923$	2.19152	+	8.17886i	0.0721347	+	0.269210i
$924$	−0.0650272	+	0.142634i	−0.00213924	+	0.00469232i
$925$	2.95502	−	11.9246i	0.0971604	−	0.392078i
$926$		−	43.4841i		−	1.42898i
$927$	−25.9919	−	1.82511i	−0.853685	−	0.0599445i
$928$	0.933551	+	0.933551i	0.0306453	+	0.0306453i
$929$	1.24622	+	2.15852i	0.0408872	+	0.0708187i	0.885745	−	0.464173i	$-0.153648\pi$
$929$	1.24622	+	2.15852i	0.0408872	+	0.0708187i	−0.844858	+	0.534991i	$0.820315\pi$
$930$	−35.4358	−	28.6619i	−1.16198	−	0.939860i
$931$	11.7921	−	20.4244i	0.386469	−	0.669384i
$932$	−4.33385	+	1.16125i	−0.141960	+	0.0380381i
$933$	19.6860	−	23.8740i	0.644491	−	0.781599i
$934$	35.5297	−	20.5131i	1.16257	−	0.671209i
$935$	0.130226	+	13.7919i	0.00425884	+	0.451043i
$936$	4.90869	−	4.26455i	0.160445	−	0.139391i
$937$	27.0459	−	27.0459i	0.883551	−	0.883551i	−0.110343	−	0.993894i	$-0.535195\pi$
$937$	27.0459	−	27.0459i	0.883551	−	0.883551i	0.993894	+	0.110343i	$0.0351948\pi$
$938$	−0.110195	−	0.0295266i	−0.00359799	−	0.000964078i
$939$	−47.3519	−	21.5878i	−1.54527	−	0.704491i
$940$	2.39348	+	1.35191i	0.0780666	+	0.0440943i
$941$	−8.79742	−	5.07919i	−0.286788	−	0.165577i	0.349705	−	0.936860i	$-0.386282\pi$
$941$	−8.79742	−	5.07919i	−0.286788	−	0.165577i	−0.636492	+	0.771283i	$0.719615\pi$
$942$	−5.24541	+	31.3174i	−0.170905	+	1.02038i
$943$	−0.00116361	+	0.00434266i	−3.78924e−5	+	0.000141416i
$944$	−19.0778			−0.620928
$945$	3.56818	+	1.89595i	0.116073	+	0.0616754i
$946$	−16.3890			−0.532852
$947$	−11.2068	+	41.8244i	−0.364173	+	1.35911i	0.504366	+	0.863490i	$0.331726\pi$
$947$	−11.2068	+	41.8244i	−0.364173	+	1.35911i	−0.868539	+	0.495621i	$0.834940\pi$
$948$	0.454573	−	2.71400i	0.0147639	−	0.0881467i
$949$	9.27672	+	5.35592i	0.301135	+	0.173860i
$950$	−21.7254	+	6.26329i	−0.704864	+	0.203208i
$951$	−42.1432	−	19.2132i	−1.36659	−	0.623029i
$952$	6.17707	+	1.65514i	0.200200	+	0.0536434i
$953$	3.56122	−	3.56122i	0.115359	−	0.115359i	−0.647071	−	0.762430i	$-0.724006\pi$
$953$	3.56122	−	3.56122i	0.115359	−	0.115359i	0.762430	+	0.647071i	$0.224006\pi$
$954$	6.61629	+	34.0907i	0.214210	+	1.10373i
$955$	30.7815	+	30.2057i	0.996066	+	0.977432i
$956$	−1.66634	+	0.962063i	−0.0538933	+	0.0311153i
$957$	−0.994795	+	1.20643i	−0.0321572	+	0.0389982i
$958$	35.7488	−	9.57887i	1.15499	−	0.309479i
$959$	2.81498	−	4.87568i	0.0909004	−	0.157444i
$960$	3.56254	+	33.7104i	0.114980	+	1.08800i
$961$	−24.2987	−	42.0866i	−0.783829	−	1.35763i
$962$	−1.66609	−	1.66609i	−0.0537168	−	0.0537168i
$963$	1.27861	+	2.62346i	0.0412025	+	0.0845399i
$964$			7.53822i			0.242790i
$965$	2.92008	+	4.94922i	0.0940008	+	0.159321i
$966$	−0.00988422	+	0.0216806i	−0.000318020	+	0.000697562i
$967$	8.11165	+	30.2731i	0.260853	+	0.973517i	0.964740	+	0.263205i	$0.0847795\pi$
$967$	8.11165	+	30.2731i	0.260853	+	0.973517i	−0.703887	+	0.710312i	$0.748554\pi$
$968$	−0.771607	−	2.87968i	−0.0248004	−	0.0925563i
$969$	−21.2655	−	29.8222i	−0.683145	−	0.958028i
$970$	5.46283	+	1.40862i	0.175401	+	0.0452280i
$971$			24.4989i			0.786208i	0.919494	+	0.393104i	$0.128599\pi$
$971$			24.4989i			0.786208i	−0.919494	+	0.393104i	$0.871401\pi$
$972$	−3.96135	+	0.875194i	−0.127060	+	0.0280718i
$973$	1.40941	+	1.40941i	0.0451835	+	0.0451835i
$974$	14.3283	+	24.8173i	0.459107	+	0.795197i
$975$	3.75169	+	5.05651i	0.120150	+	0.161938i
$976$	3.26848	−	5.66116i	0.104621	−	0.181209i
$977$	50.9766	−	13.6592i	1.63089	−	0.436995i	0.676713	−	0.736247i	$-0.263404\pi$
$977$	50.9766	−	13.6592i	1.63089	−	0.436995i	0.954174	+	0.299252i	$0.0967370\pi$
$978$	−16.2315	−	43.4323i	−0.519025	−	1.38881i
$979$	3.63265	−	2.09731i	0.116100	−	0.0670304i
$980$	2.80381	−	2.85726i	0.0895644	−	0.0912719i
$981$	−4.64774	+	13.4853i	−0.148391	+	0.430552i
$982$	−27.8730	+	27.8730i	−0.889464	+	0.889464i
$983$	−27.7184	−	7.42713i	−0.884081	−	0.236889i	−0.211914	−	0.977288i	$-0.567970\pi$
$983$	−27.7184	−	7.42713i	−0.884081	−	0.236889i	−0.672167	+	0.740400i	$0.734636\pi$
$984$	0.0740794	+	0.770517i	0.00236157	+	0.0245632i
$985$	−13.3584	+	23.6504i	−0.425634	+	0.753563i
$986$	6.36090	+	3.67247i	0.202572	+	0.116955i
$987$	2.19522	+	1.81014i	0.0698747	+	0.0576173i
$988$	0.167892	−	0.626581i	0.00534136	−	0.0199342i
$989$	0.372650			0.0118496
$990$	−8.66972	+	1.76771i	−0.275542	+	0.0561815i
$991$	−57.7811			−1.83548			−0.917739	−	0.397183i	$-0.869988\pi$
$991$	−57.7811			−1.83548			−0.917739	+	0.397183i	$0.869988\pi$
$992$	−3.37686	+	12.6026i	−0.107215	+	0.400133i
$993$	2.87510	−	1.07448i	0.0912386	−	0.0340976i
$994$	−4.62646	−	2.67109i	−0.146742	−	0.0847218i
$995$	16.0846	−	4.47306i	0.509917	−	0.141805i
$996$	−5.61075	+	4.00088i	−0.177783	+	0.126773i
$997$	−21.2445	−	5.69245i	−0.672820	−	0.180282i	−0.0937952	−	0.995592i	$-0.529900\pi$
$997$	−21.2445	−	5.69245i	−0.672820	−	0.180282i	−0.579025	+	0.815310i	$0.696567\pi$
$998$	15.3790	−	15.3790i	0.486813	−	0.486813i
$999$	3.62076	+	12.2430i	0.114556	+	0.387353i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	495.2.bc.d.23.22	yes	116
5.2	odd	4		495.2.bc.c.122.22	✓	116
9.2	odd	6		495.2.bc.c.353.22	yes	116
45.2	even	12	inner	495.2.bc.d.452.22	yes	116

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
495.2.bc.c.122.22	✓	116	5.2	odd	4
495.2.bc.c.353.22	yes	116	9.2	odd	6
495.2.bc.d.23.22	yes	116	1.1	even	1	trivial
495.2.bc.d.452.22	yes	116	45.2	even	12	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 495 = 3^{2} \cdot 5 \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	495.bc (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(0.341381 - 1.27405i) q^{2} +(-0.286119 + 1.70826i) q^{3} +(0.225382 + 0.130124i) q^{4} +(0.599104 + 2.15432i) q^{5} +(2.07873 + 0.947697i) q^{6} +(0.335911 + 0.0900071i) q^{7} +(2.10807 - 2.10807i) q^{8} +(-2.83627 - 0.977528i) q^{9} +O(q^{10})\)	\(q+(0.341381 - 1.27405i) q^{2} +(-0.286119 + 1.70826i) q^{3} +(0.225382 + 0.130124i) q^{4} +(0.599104 + 2.15432i) q^{5} +(2.07873 + 0.947697i) q^{6} +(0.335911 + 0.0900071i) q^{7} +(2.10807 - 2.10807i) q^{8} +(-2.83627 - 0.977528i) q^{9} +(2.94923 - 0.0278473i) q^{10} +(0.866025 - 0.500000i) q^{11} +(-0.286772 + 0.347779i) q^{12} +(-0.702261 + 0.188170i) q^{13} +(0.229348 - 0.397242i) q^{14} +(-3.85154 + 0.407033i) q^{15} +(-1.70589 - 2.95468i) q^{16} +(4.36157 + 4.36157i) q^{17} +(-2.21367 + 3.27985i) q^{18} +3.42839i q^{19} +(-0.145302 + 0.563502i) q^{20} +(-0.249866 + 0.548069i) q^{21} +(-0.341381 - 1.27405i) q^{22} +(0.00776227 + 0.0289692i) q^{23} +(2.99796 + 4.20428i) q^{24} +(-4.28215 + 2.58132i) q^{25} +0.958955i q^{26} +(2.48138 - 4.56539i) q^{27} +(0.0639962 + 0.0639962i) q^{28} +(0.451394 + 0.781838i) q^{29} +(-0.796261 + 5.04601i) q^{30} +(-4.46087 + 7.72645i) q^{31} +(1.41257 - 0.378498i) q^{32} +(0.606341 + 1.62245i) q^{33} +(7.04584 - 4.06792i) q^{34} +(0.00734208 + 0.777582i) q^{35} +(-0.512044 - 0.589385i) q^{36} +(-1.73740 + 1.73740i) q^{37} +(4.36795 + 1.17039i) q^{38} +(-0.120513 - 1.25348i) q^{39} +(5.80440 + 3.27849i) q^{40} +(0.129823 + 0.0749531i) q^{41} +(0.612969 + 0.505442i) q^{42} +(3.21592 - 12.0020i) q^{43} +0.260249 q^{44} +(0.406681 - 6.69587i) q^{45} +0.0395582 q^{46} +(1.22259 - 4.56276i) q^{47} +(5.53544 - 2.06870i) q^{48} +(-5.95744 - 3.43953i) q^{49} +(1.82689 + 6.33690i) q^{50} +(-8.69861 + 6.20275i) q^{51} +(-0.182763 - 0.0489711i) q^{52} +(6.20562 - 6.20562i) q^{53} +(-4.96945 - 4.71994i) q^{54} +(1.59600 + 1.56614i) q^{55} +(0.897865 - 0.518382i) q^{56} +(-5.85657 - 0.980927i) q^{57} +(1.15020 - 0.308195i) q^{58} +(2.79587 - 4.84259i) q^{59} +(-0.921032 - 0.409441i) q^{60} +(0.957999 + 1.65930i) q^{61} +(8.32105 + 8.32105i) q^{62} +(-0.864751 - 0.583647i) q^{63} -8.75245i q^{64} +(-0.826106 - 1.40016i) q^{65} +(2.27408 - 0.218636i) q^{66} +(-0.0643709 - 0.240235i) q^{67} +(0.415473 + 1.55057i) q^{68} +(-0.0517077 + 0.00497131i) q^{69} +(0.993187 + 0.256098i) q^{70} -11.6465i q^{71} +(-8.03975 + 3.91836i) q^{72} +(-10.4182 - 10.4182i) q^{73} +(1.62042 + 2.80665i) q^{74} +(-3.18435 - 8.05357i) q^{75} +(-0.446117 + 0.772698i) q^{76} +(0.335911 - 0.0900071i) q^{77} +(-1.63814 - 0.274375i) q^{78} +(-5.28688 + 3.05238i) q^{79} +(5.34331 - 5.44518i) q^{80} +(7.08888 + 5.54507i) q^{81} +(0.139813 - 0.139813i) q^{82} +(14.7667 + 3.95673i) q^{83} +(-0.127632 + 0.0910113i) q^{84} +(-6.78317 + 12.0092i) q^{85} +(-14.1933 - 8.19450i) q^{86} +(-1.46473 + 0.547398i) q^{87} +(0.771607 - 2.87968i) q^{88} +4.19463 q^{89} +(-8.39205 - 2.80398i) q^{90} -0.252834 q^{91} +(-0.00202012 + 0.00753919i) q^{92} +(-11.9224 - 9.83099i) q^{93} +(-5.39582 - 3.11528i) q^{94} +(-7.38584 + 2.05396i) q^{95} +(0.242407 + 2.52133i) q^{96} +(1.84761 + 0.495067i) q^{97} +(-6.41590 + 6.41590i) q^{98} +(-2.94505 + 0.571572i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 116 q - 2 q^{2} + 6 q^{4} - 2 q^{5} - 2 q^{6} - 10 q^{7} + 2 q^{8} + 16 q^{9}+O(q^{10}) \) 116 * q - 2 * q^2 + 6 * q^4 - 2 * q^5 - 2 * q^6 - 10 * q^7 + 2 * q^8 + 16 * q^9	\( 116 q - 2 q^{2} + 6 q^{4} - 2 q^{5} - 2 q^{6} - 10 q^{7} + 2 q^{8} + 16 q^{9} + 6 q^{10} - 8 q^{12} + 12 q^{13} - 10 q^{14} + 20 q^{15} + 62 q^{16} - 8 q^{17} - 54 q^{18} + 6 q^{20} - 10 q^{21} + 2 q^{22} - 14 q^{23} - 62 q^{24} - 12 q^{25} + 30 q^{27} + 18 q^{28} - 2 q^{29} - 18 q^{30} - 2 q^{31} - 48 q^{32} + 4 q^{33} - 24 q^{34} + 2 q^{35} + 24 q^{36} - 14 q^{37} - 6 q^{38} + 4 q^{39} + 98 q^{40} + 6 q^{41} - 44 q^{42} + 26 q^{43} - 120 q^{44} - 18 q^{45} - 44 q^{46} - 2 q^{47} - 20 q^{48} - 18 q^{49} - 20 q^{50} - 8 q^{51} + 102 q^{52} - 44 q^{53} + 28 q^{54} + 2 q^{55} + 42 q^{56} - 48 q^{57} - 16 q^{58} + 22 q^{59} - 8 q^{60} - 10 q^{61} - 16 q^{62} - 26 q^{63} - 108 q^{65} + 6 q^{66} - 36 q^{67} - 72 q^{68} - 76 q^{69} - 134 q^{70} + 30 q^{72} + 12 q^{73} - 8 q^{74} + 20 q^{75} - 6 q^{76} - 10 q^{77} + 210 q^{78} - 6 q^{79} + 4 q^{80} + 44 q^{81} - 50 q^{82} + 24 q^{83} + 222 q^{84} + 54 q^{85} + 90 q^{86} - 32 q^{87} - 4 q^{88} + 8 q^{89} - 74 q^{90} + 72 q^{91} + 18 q^{92} - 98 q^{93} + 42 q^{94} + 54 q^{95} + 68 q^{96} + 18 q^{97} + 16 q^{98} - 4 q^{99}+O(q^{100}) \) 116 * q - 2 * q^2 + 6 * q^4 - 2 * q^5 - 2 * q^6 - 10 * q^7 + 2 * q^8 + 16 * q^9 + 6 * q^10 - 8 * q^12 + 12 * q^13 - 10 * q^14 + 20 * q^15 + 62 * q^16 - 8 * q^17 - 54 * q^18 + 6 * q^20 - 10 * q^21 + 2 * q^22 - 14 * q^23 - 62 * q^24 - 12 * q^25 + 30 * q^27 + 18 * q^28 - 2 * q^29 - 18 * q^30 - 2 * q^31 - 48 * q^32 + 4 * q^33 - 24 * q^34 + 2 * q^35 + 24 * q^36 - 14 * q^37 - 6 * q^38 + 4 * q^39 + 98 * q^40 + 6 * q^41 - 44 * q^42 + 26 * q^43 - 120 * q^44 - 18 * q^45 - 44 * q^46 - 2 * q^47 - 20 * q^48 - 18 * q^49 - 20 * q^50 - 8 * q^51 + 102 * q^52 - 44 * q^53 + 28 * q^54 + 2 * q^55 + 42 * q^56 - 48 * q^57 - 16 * q^58 + 22 * q^59 - 8 * q^60 - 10 * q^61 - 16 * q^62 - 26 * q^63 - 108 * q^65 + 6 * q^66 - 36 * q^67 - 72 * q^68 - 76 * q^69 - 134 * q^70 + 30 * q^72 + 12 * q^73 - 8 * q^74 + 20 * q^75 - 6 * q^76 - 10 * q^77 + 210 * q^78 - 6 * q^79 + 4 * q^80 + 44 * q^81 - 50 * q^82 + 24 * q^83 + 222 * q^84 + 54 * q^85 + 90 * q^86 - 32 * q^87 - 4 * q^88 + 8 * q^89 - 74 * q^90 + 72 * q^91 + 18 * q^92 - 98 * q^93 + 42 * q^94 + 54 * q^95 + 68 * q^96 + 18 * q^97 + 16 * q^98 - 4 * q^99

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