LMFDB - Embedded newform 260.2.p.d.103.7

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [260,2,Mod(103,260)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(260, base_ring=CyclotomicField(4))

chi = DirichletCharacter(H, H._module([2, 3, 2]))

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

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

chi := DirichletCharacter("260.103");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 260 = 2^{2} \cdot 5 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	260.p (of order $4$, 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:	$2.07611045255$
Analytic rank:	$0$
Dimension:	$64$
Relative dimension:	$32$ over $\Q(i)$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{4}]$

Embedding invariants

Embedding label			103.7
Character	$\chi$	$=$	260.103
Dual form			260.2.p.d.207.7

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.22720 - 0.702829i) q^{2} +(-1.63423 + 1.63423i) q^{3} +(1.01206 + 1.72503i) q^{4} +(-1.85457 - 1.24923i) q^{5} +(3.15411 - 0.856948i) q^{6} +(-1.80181 + 1.80181i) q^{7} +(-0.0296052 - 2.82827i) q^{8} -2.34139i q^{9} +O(q^{10})$	\(q+(-1.22720 - 0.702829i) q^{2} +(-1.63423 + 1.63423i) q^{3} +(1.01206 + 1.72503i) q^{4} +(-1.85457 - 1.24923i) q^{5} +(3.15411 - 0.856948i) q^{6} +(-1.80181 + 1.80181i) q^{7} +(-0.0296052 - 2.82827i) q^{8} -2.34139i q^{9} +(1.39793 + 2.83651i) q^{10} +2.86823 q^{11} +(-4.47303 - 1.16515i) q^{12} +(-1.91593 - 3.05438i) q^{13} +(3.47755 - 0.944824i) q^{14} +(5.07231 - 0.989250i) q^{15} +(-1.95146 + 3.49168i) q^{16} +(3.05008 - 3.05008i) q^{17} +(-1.64560 + 2.87337i) q^{18} -5.05926i q^{19} +(0.278031 - 4.46349i) q^{20} -5.88913i q^{21} +(-3.51990 - 2.01587i) q^{22} +(2.42763 - 2.42763i) q^{23} +(4.67042 + 4.57366i) q^{24} +(1.87883 + 4.63357i) q^{25} +(0.204530 + 5.09492i) q^{26} +(-1.07631 - 1.07631i) q^{27} +(-4.93172 - 1.28463i) q^{28} -6.79589i q^{29} +(-6.92004 - 2.35096i) q^{30} -7.49990 q^{31} +(4.84889 - 2.91346i) q^{32} +(-4.68733 + 4.68733i) q^{33} +(-5.88676 + 1.59939i) q^{34} +(5.59245 - 1.09069i) q^{35} +(4.03898 - 2.36964i) q^{36} +(2.43344 + 2.43344i) q^{37} +(-3.55580 + 6.20875i) q^{38} +(8.12261 + 1.86048i) q^{39} +(-3.47827 + 5.28220i) q^{40} -3.73755i q^{41} +(-4.13905 + 7.22717i) q^{42} +(1.36253 - 1.36253i) q^{43} +(2.90282 + 4.94778i) q^{44} +(-2.92495 + 4.34227i) q^{45} +(-4.68541 + 1.27299i) q^{46} +(-7.11272 + 7.11272i) q^{47} +(-2.51706 - 8.89532i) q^{48} +0.506970i q^{49} +(0.950903 - 7.00684i) q^{50} +9.96906i q^{51} +(3.32986 - 6.39625i) q^{52} +(-2.33561 - 2.33561i) q^{53} +(0.564390 + 2.07732i) q^{54} +(-5.31931 - 3.58309i) q^{55} +(5.14935 + 5.04266i) q^{56} +(8.26798 + 8.26798i) q^{57} +(-4.77635 + 8.33995i) q^{58} -4.71586i q^{59} +(6.83998 + 7.74871i) q^{60} +9.15507 q^{61} +(9.20391 + 5.27115i) q^{62} +(4.21875 + 4.21875i) q^{63} +(-7.99825 + 0.167463i) q^{64} +(-0.262417 + 8.05799i) q^{65} +(9.04671 - 2.45792i) q^{66} +(1.42067 - 1.42067i) q^{67} +(8.34836 + 2.17461i) q^{68} +7.93459i q^{69} +(-7.62966 - 2.59204i) q^{70} +2.80652 q^{71} +(-6.62210 + 0.0693174i) q^{72} +(5.53872 - 5.53872i) q^{73} +(-1.27604 - 4.69662i) q^{74} +(-10.6427 - 4.50188i) q^{75} +(8.72738 - 5.12029i) q^{76} +(-5.16800 + 5.16800i) q^{77} +(-8.66050 - 7.99200i) q^{78} -16.7129 q^{79} +(7.98103 - 4.03771i) q^{80} +10.5421 q^{81} +(-2.62686 + 4.58674i) q^{82} +(-3.28900 - 3.28900i) q^{83} +(10.1589 - 5.96016i) q^{84} +(-9.46685 + 1.84631i) q^{85} +(-2.62974 + 0.714479i) q^{86} +(11.1060 + 11.1060i) q^{87} +(-0.0849143 - 8.11213i) q^{88} -0.690019 q^{89} +(6.64139 - 3.27311i) q^{90} +(8.95554 + 2.05127i) q^{91} +(6.64464 + 1.73082i) q^{92} +(12.2565 - 12.2565i) q^{93} +(13.7278 - 3.72974i) q^{94} +(-6.32020 + 9.38273i) q^{95} +(-3.16294 + 12.6854i) q^{96} +(0.611740 + 0.611740i) q^{97} +(0.356314 - 0.622156i) q^{98} -6.71565i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 64 q+O(q^{10}) $ 64 * q	$ 64 q - 24 q^{12} - 4 q^{16} - 40 q^{17} - 36 q^{22} + 44 q^{26} + 24 q^{30} + 28 q^{36} + 16 q^{38} - 44 q^{40} + 8 q^{42} - 44 q^{48} + 56 q^{52} - 48 q^{53} - 64 q^{56} + 80 q^{61} + 20 q^{62} - 72 q^{65} - 24 q^{66} - 76 q^{68} - 112 q^{77} - 20 q^{78} + 80 q^{81} + 52 q^{82} - 152 q^{88} - 64 q^{90} + 56 q^{92}+O(q^{100}) $ 64 * q - 24 * q^12 - 4 * q^16 - 40 * q^17 - 36 * q^22 + 44 * q^26 + 24 * q^30 + 28 * q^36 + 16 * q^38 - 44 * q^40 + 8 * q^42 - 44 * q^48 + 56 * q^52 - 48 * q^53 - 64 * q^56 + 80 * q^61 + 20 * q^62 - 72 * q^65 - 24 * q^66 - 76 * q^68 - 112 * q^77 - 20 * q^78 + 80 * q^81 + 52 * q^82 - 152 * q^88 - 64 * q^90 + 56 * q^92

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/260\mathbb{Z}\right)^\times$.

$n$	$41$	$131$	$157$
$\chi(n)$	$-1$	$-1$	$e\left(\frac{3}{4}\right)$

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 $

$2$	−1.22720	−	0.702829i	−0.867765	−	0.496975i
$2$	−1.22720	−	0.702829i	−0.867765	−	0.496975i
$3$	−1.63423	+	1.63423i	−0.943521	+	0.943521i	−0.998488	−	0.0549669i	$-0.982495\pi$
$3$	−1.63423	+	1.63423i	−0.943521	+	0.943521i	0.0549669	+	0.998488i	$0.482495\pi$
$4$	1.01206	+	1.72503i	0.506031	+	0.862515i
$5$	−1.85457	−	1.24923i	−0.829387	−	0.558674i
$5$	−1.85457	−	1.24923i	−0.829387	−	0.558674i
$6$	3.15411	−	0.856948i	1.28766	−	0.349848i
$7$	−1.80181	+	1.80181i	−0.681020	+	0.681020i	−0.960230	−	0.279210i	$-0.909927\pi$
$7$	−1.80181	+	1.80181i	−0.681020	+	0.681020i	0.279210	+	0.960230i	$0.409927\pi$
$8$	−0.0296052	−	2.82827i	−0.0104670	−	0.999945i
$9$		−	2.34139i		−	0.780465i
$10$	1.39793	+	2.83651i	0.442065	+	0.896983i
$11$	2.86823			0.864803			0.432401	−	0.901681i	$-0.357666\pi$
$11$	2.86823			0.864803			0.432401	+	0.901681i	$0.357666\pi$
$12$	−4.47303	−	1.16515i	−1.29125	−	0.336351i
$13$	−1.91593	−	3.05438i	−0.531383	−	0.847132i
$13$	−1.91593	−	3.05438i	−0.531383	−	0.847132i
$14$	3.47755	−	0.944824i	0.929415	−	0.252515i
$15$	5.07231	−	0.989250i	1.30967	−	0.255423i
$16$	−1.95146	+	3.49168i	−0.487865	+	0.872919i
$17$	3.05008	−	3.05008i	0.739754	−	0.739754i	−0.232776	−	0.972530i	$-0.574781\pi$
$17$	3.05008	−	3.05008i	0.739754	−	0.739754i	0.972530	+	0.232776i	$0.0747810\pi$
$18$	−1.64560	+	2.87337i	−0.387872	+	0.677260i
$19$		−	5.05926i		−	1.16067i	−0.814376	−	0.580337i	$-0.802921\pi$
$19$		−	5.05926i		−	1.16067i	0.814376	−	0.580337i	$-0.197079\pi$
$20$	0.278031	−	4.46349i	0.0621696	−	0.998066i
$21$		−	5.88913i		−	1.28511i
$22$	−3.51990	−	2.01587i	−0.750445	−	0.429786i
$23$	2.42763	−	2.42763i	0.506196	−	0.506196i	−0.407161	−	0.913356i	$-0.633481\pi$
$23$	2.42763	−	2.42763i	0.506196	−	0.506196i	0.913356	+	0.407161i	$0.133481\pi$
$24$	4.67042	+	4.57366i	0.953345	+	0.933594i
$25$	1.87883	+	4.63357i	0.375766	+	0.926715i
$26$	0.204530	+	5.09492i	0.0401116	+	0.999195i
$27$	−1.07631	−	1.07631i	−0.207136	−	0.207136i
$28$	−4.93172	−	1.28463i	−0.932007	−	0.242773i
$29$		−	6.79589i		−	1.26197i	−0.775797	−	0.630983i	$-0.782652\pi$
$29$		−	6.79589i		−	1.26197i	0.775797	−	0.630983i	$-0.217348\pi$
$30$	−6.92004	−	2.35096i	−1.26342	−	0.429224i
$31$	−7.49990			−1.34702			−0.673511	−	0.739178i	$-0.735214\pi$
$31$	−7.49990			−1.34702			−0.673511	+	0.739178i	$0.735214\pi$
$32$	4.84889	−	2.91346i	0.857171	−	0.515031i
$33$	−4.68733	+	4.68733i	−0.815960	+	0.815960i
$34$	−5.88676	+	1.59939i	−1.00957	+	0.274293i
$35$	5.59245	−	1.09069i	0.945297	−	0.184361i
$36$	4.03898	−	2.36964i	0.673163	−	0.394939i
$37$	2.43344	+	2.43344i	0.400055	+	0.400055i	0.878253	−	0.478197i	$-0.158710\pi$
$37$	2.43344	+	2.43344i	0.400055	+	0.400055i	−0.478197	+	0.878253i	$0.658710\pi$
$38$	−3.55580	+	6.20875i	−0.576826	+	1.00719i
$39$	8.12261	+	1.86048i	1.30066	+	0.297916i
$40$	−3.47827	+	5.28220i	−0.549963	+	0.835189i
$41$		−	3.73755i		−	0.583708i	−0.956463	−	0.291854i	$-0.905728\pi$
$41$		−	3.73755i		−	0.583708i	0.956463	−	0.291854i	$-0.0942721\pi$
$42$	−4.13905	+	7.22717i	−0.638670	+	1.11518i
$43$	1.36253	−	1.36253i	0.207785	−	0.207785i	−0.595541	−	0.803325i	$-0.703062\pi$
$43$	1.36253	−	1.36253i	0.207785	−	0.207785i	0.803325	+	0.595541i	$0.203062\pi$
$44$	2.90282	+	4.94778i	0.437617	+	0.745906i
$45$	−2.92495	+	4.34227i	−0.436026	+	0.647308i
$46$	−4.68541	+	1.27299i	−0.690825	+	0.187692i
$47$	−7.11272	+	7.11272i	−1.03750	+	1.03750i	−0.0382282	+	0.999269i	$0.512171\pi$
$47$	−7.11272	+	7.11272i	−1.03750	+	1.03750i	−0.999269	+	0.0382282i	$0.987829\pi$
$48$	−2.51706	−	8.89532i	−0.363306	−	1.28393i
$49$			0.506970i			0.0724243i
$50$	0.950903	−	7.00684i	0.134478	−	0.990917i
$51$			9.96906i			1.39595i
$52$	3.32986	−	6.39625i	0.461768	−	0.887001i
$53$	−2.33561	−	2.33561i	−0.320820	−	0.320820i	0.528262	−	0.849082i	$-0.322844\pi$
$53$	−2.33561	−	2.33561i	−0.320820	−	0.320820i	−0.849082	+	0.528262i	$0.822844\pi$
$54$	0.564390	+	2.07732i	0.0768038	+	0.282687i
$55$	−5.31931	−	3.58309i	−0.717256	−	0.483143i
$56$	5.14935	+	5.04266i	0.688111	+	0.673854i
$57$	8.26798	+	8.26798i	1.09512	+	1.09512i
$58$	−4.77635	+	8.33995i	−0.627166	+	1.09509i
$59$		−	4.71586i		−	0.613953i	−0.951717	−	0.306976i	$-0.900683\pi$
$59$		−	4.71586i		−	0.613953i	0.951717	−	0.306976i	$-0.0993172\pi$
$60$	6.83998	+	7.74871i	0.883038	+	1.00035i
$61$	9.15507			1.17219			0.586093	−	0.810244i	$-0.300665\pi$
$61$	9.15507			1.17219			0.586093	+	0.810244i	$0.300665\pi$
$62$	9.20391	+	5.27115i	1.16890	+	0.669436i
$63$	4.21875	+	4.21875i	0.531512	+	0.531512i
$64$	−7.99825	+	0.167463i	−0.999781	+	0.0209329i
$65$	−0.262417	+	8.05799i	−0.0325488	+	0.999470i
$66$	9.04671	−	2.45792i	1.11357	−	0.302549i
$67$	1.42067	−	1.42067i	0.173562	−	0.173562i	−0.614980	−	0.788542i	$-0.710836\pi$
$67$	1.42067	−	1.42067i	0.173562	−	0.173562i	0.788542	+	0.614980i	$0.210836\pi$
$68$	8.34836	+	2.17461i	1.01239	+	0.263711i
$69$			7.93459i			0.955213i
$70$	−7.62966	−	2.59204i	−0.911918	−	0.309808i
$71$	2.80652			0.333073			0.166536	−	0.986035i	$-0.446742\pi$
$71$	2.80652			0.333073			0.166536	+	0.986035i	$0.446742\pi$
$72$	−6.62210	+	0.0693174i	−0.780422	+	0.00816913i
$73$	5.53872	−	5.53872i	0.648258	−	0.648258i	−0.304314	−	0.952572i	$-0.598427\pi$
$73$	5.53872	−	5.53872i	0.648258	−	0.648258i	0.952572	+	0.304314i	$0.0984272\pi$
$74$	−1.27604	−	4.69662i	−0.148336	−	0.545972i
$75$	−10.6427	−	4.50188i	−1.22892	−	0.519832i
$76$	8.72738	−	5.12029i	1.00110	−	0.587337i
$77$	−5.16800	+	5.16800i	−0.588948	+	0.588948i
$78$	−8.66050	−	7.99200i	−0.980608	−	0.904916i
$79$	−16.7129			−1.88034			−0.940172	−	0.340700i	$-0.889336\pi$
$79$	−16.7129			−1.88034			−0.940172	+	0.340700i	$0.889336\pi$
$80$	7.98103	−	4.03771i	0.892307	−	0.451430i
$81$	10.5421			1.17134
$82$	−2.62686	+	4.58674i	−0.290088	+	0.506521i
$83$	−3.28900	−	3.28900i	−0.361014	−	0.361014i	0.503172	−	0.864186i	$-0.332166\pi$
$83$	−3.28900	−	3.28900i	−0.361014	−	0.361014i	−0.864186	+	0.503172i	$0.832166\pi$
$84$	10.1589	−	5.96016i	1.10843	−	0.650307i
$85$	−9.46685	+	1.84631i	−1.02682	+	0.200261i
$86$	−2.62974	+	0.714479i	−0.283572	+	0.0770443i
$87$	11.1060	+	11.1060i	1.19069	+	1.19069i
$88$	−0.0849143	−	8.11213i	−0.00905189	−	0.864755i
$89$	−0.690019			−0.0731419			−0.0365709	−	0.999331i	$-0.511643\pi$
$89$	−0.690019			−0.0731419			−0.0365709	+	0.999331i	$0.511643\pi$
$90$	6.64139	−	3.27311i	0.700064	−	0.345017i
$91$	8.95554	+	2.05127i	0.938796	+	0.215031i
$92$	6.64464	+	1.73082i	0.692752	+	0.180451i
$93$	12.2565	−	12.2565i	1.27094	−	1.27094i
$94$	13.7278	−	3.72974i	1.41591	−	0.384693i
$95$	−6.32020	+	9.38273i	−0.648439	+	0.962648i
$96$	−3.16294	+	12.6854i	−0.322817	+	1.29470i
$97$	0.611740	+	0.611740i	0.0621128	+	0.0621128i	0.737481	−	0.675368i	$-0.236015\pi$
$97$	0.611740	+	0.611740i	0.0621128	+	0.0621128i	−0.675368	+	0.737481i	$0.736015\pi$
$98$	0.356314	−	0.622156i	0.0359931	−	0.0628473i
$99$		−	6.71565i		−	0.674948i
$100$	−6.09156	+	7.93050i	−0.609156	+	0.793050i
$101$	−19.5821			−1.94849			−0.974247	−	0.225482i	$-0.927604\pi$
$101$	−19.5821			−1.94849			−0.974247	+	0.225482i	$0.927604\pi$
$102$	7.00654	−	12.2341i	0.693751	−	1.21135i
$103$	7.42027	−	7.42027i	0.731141	−	0.731141i	−0.239705	−	0.970846i	$-0.577051\pi$
$103$	7.42027	−	7.42027i	0.731141	−	0.731141i	0.970846	+	0.239705i	$0.0770508\pi$
$104$	−8.58189	+	5.50919i	−0.841523	+	0.540221i
$105$	−7.35690	+	10.9218i	−0.717960	+	1.06586i
$106$	1.22473	+	4.50780i	0.118957	+	0.437836i
$107$	−11.7984	−	11.7984i	−1.14060	−	1.14060i	−0.988341	−	0.152258i	$-0.951346\pi$
$107$	−11.7984	−	11.7984i	−1.14060	−	1.14060i	−0.152258	−	0.988341i	$-0.548654\pi$
$108$	0.767375	−	2.94596i	0.0738407	−	0.283475i
$109$	−17.0037			−1.62866			−0.814329	−	0.580403i	$-0.802895\pi$
$109$	−17.0037			−1.62866			−0.814329	+	0.580403i	$0.802895\pi$
$110$	4.00959	+	8.13575i	0.382299	+	0.775713i
$111$	−7.95359			−0.754922
$112$	−2.77517	−	9.80749i	−0.262229	−	0.926721i
$113$	−4.57244	−	4.57244i	−0.430139	−	0.430139i	0.458537	−	0.888675i	$-0.348374\pi$
$113$	−4.57244	−	4.57244i	−0.430139	−	0.430139i	−0.888675	+	0.458537i	$0.848374\pi$
$114$	−4.33552	−	15.9575i	−0.406059	−	1.49456i
$115$	−7.53487	+	1.46952i	−0.702631	+	0.137034i
$116$	11.7231	−	6.87786i	1.08846	−	0.638593i
$117$	−7.15150	+	4.48594i	−0.661157	+	0.414726i
$118$	−3.31444	+	5.78732i	−0.305119	+	0.532766i
$119$			10.9913i			1.00757i
$120$	−2.94803	−	14.3166i	−0.269117	−	1.30692i
$121$	−2.77328			−0.252116
$122$	−11.2351	−	6.43445i	−1.01718	−	0.582548i
$123$	6.10801	+	6.10801i	0.550741	+	0.550741i
$124$	−7.59036	−	12.9376i	−0.681634	−	1.16183i
$125$	2.30400	−	10.9404i	0.206076	−	0.978536i
$126$	−2.21221	−	8.14232i	−0.197079	−	0.725376i
$127$	2.16928	+	2.16928i	0.192492	+	0.192492i	0.796772	−	0.604280i	$-0.206539\pi$
$127$	2.16928	+	2.16928i	0.192492	+	0.192492i	−0.604280	+	0.796772i	$0.706539\pi$
$128$	9.93318	+	5.41589i	0.877978	+	0.478702i
$129$			4.45338i			0.392098i
$130$	5.98543	−	9.70436i	0.524957	−	0.851129i
$131$		−	20.1665i		−	1.76196i	−0.473156	−	0.880979i	$-0.656885\pi$
$131$		−	20.1665i		−	1.76196i	0.473156	−	0.880979i	$-0.343115\pi$
$132$	−12.8297	−	3.34192i	−1.11668	−	0.290877i
$133$	9.11582	+	9.11582i	0.790442	+	0.790442i
$134$	−2.74193	+	0.744962i	−0.236867	+	0.0643550i
$135$	0.651525	+	3.34065i	0.0560743	+	0.287517i
$136$	−8.71676	−	8.53617i	−0.747456	−	0.731970i
$137$	10.1264	+	10.1264i	0.865160	+	0.865160i	0.991932	−	0.126771i	$-0.0404615\pi$
$137$	10.1264	+	10.1264i	0.865160	+	0.865160i	−0.126771	+	0.991932i	$0.540461\pi$
$138$	5.57666	−	9.73737i	0.474717	−	0.828900i
$139$	6.95427			0.589854			0.294927	−	0.955520i	$-0.404705\pi$
$139$	6.95427			0.589854			0.294927	+	0.955520i	$0.404705\pi$
$140$	7.54139	+	8.54331i	0.637364	+	0.722041i
$141$		−	23.2476i		−	1.95780i
$142$	−3.44417	−	1.97250i	−0.289029	−	0.165529i
$143$	−5.49532	−	8.76065i	−0.459541	−	0.732602i
$144$	8.17539	+	4.56914i	0.681283	+	0.380762i
$145$	−8.48966	+	12.6034i	−0.705028	+	1.04666i
$146$	−10.6899	+	2.90437i	−0.884703	+	0.240367i
$147$	−0.828504	−	0.828504i	−0.0683339	−	0.0683339i
$148$	−1.73497	+	6.66056i	−0.142613	+	0.547494i
$149$	4.62642			0.379011			0.189506	−	0.981880i	$-0.439311\pi$
$149$	4.62642			0.379011			0.189506	+	0.981880i	$0.439311\pi$
$150$	9.89677	+	13.0048i	0.808068	+	1.06183i
$151$	21.8510			1.77821			0.889106	−	0.457701i	$-0.151327\pi$
$151$	21.8510			1.77821			0.889106	+	0.457701i	$0.151327\pi$
$152$	−14.3090	+	0.149780i	−1.16061	+	0.0121488i
$153$	−7.14145	−	7.14145i	−0.577352	−	0.577352i
$154$	9.97441	−	2.70997i	0.803761	−	0.218376i
$155$	13.9091	+	9.36913i	1.11720	+	0.752546i
$156$	5.01119	+	15.8947i	0.401216	+	1.27259i
$157$	−3.55608	+	3.55608i	−0.283806	+	0.283806i	−0.834625	−	0.550819i	$-0.814315\pi$
$157$	−3.55608	+	3.55608i	−0.283806	+	0.283806i	0.550819	+	0.834625i	$0.314315\pi$
$158$	20.5101	+	11.7463i	1.63170	+	0.934485i
$159$	7.63382			0.605401
$160$	−12.6322	−	0.654205i	−0.998662	−	0.0517195i
$161$			8.74824i			0.689458i
$162$	−12.9373	−	7.40926i	−1.01645	−	0.582127i
$163$	2.47561	+	2.47561i	0.193905	+	0.193905i	0.797381	−	0.603476i	$-0.206218\pi$
$163$	2.47561	+	2.47561i	0.193905	+	0.193905i	−0.603476	+	0.797381i	$0.706218\pi$
$164$	6.44740	−	3.78264i	0.503457	−	0.295374i
$165$	14.5485	−	2.83739i	1.13260	−	0.220891i
$166$	1.72467	+	6.34788i	0.133860	+	0.492691i
$167$	15.2453	−	15.2453i	1.17971	−	1.17971i	0.199896	−	0.979817i	$-0.435940\pi$
$167$	15.2453	−	15.2453i	1.17971	−	1.17971i	0.979817	−	0.199896i	$-0.0640604\pi$
$168$	−16.6561	+	0.174349i	−1.28504	+	0.0134513i
$169$	−5.65844	+	11.7039i	−0.435265	+	0.900303i
$170$	12.9154	+	4.38777i	0.990566	+	0.336527i
$171$	−11.8457			−0.905865
$172$	3.72938	+	0.971444i	0.284363	+	0.0740719i
$173$	7.94933	+	7.94933i	0.604376	+	0.604376i	0.941471	−	0.337095i	$-0.109444\pi$
$173$	7.94933	+	7.94933i	0.604376	+	0.604376i	−0.337095	+	0.941471i	$0.609444\pi$
$174$	−5.82373	−	21.4350i	−0.441495	−	1.62498i
$175$	−11.7341	−	4.96352i	−0.887015	−	0.375207i
$176$	−5.59723	+	10.0149i	−0.421907	+	0.754903i
$177$	7.70678	+	7.70678i	0.579277	+	0.579277i
$178$	0.846795	+	0.484966i	0.0634699	+	0.0363497i
$179$	4.23086			0.316230			0.158115	−	0.987421i	$-0.449458\pi$
$179$	4.23086			0.316230			0.158115	+	0.987421i	$0.449458\pi$
$180$	−10.4508	−	0.650980i	−0.778955	−	0.0485212i
$181$	4.89410			0.363776			0.181888	−	0.983319i	$-0.441779\pi$
$181$	4.89410			0.363776			0.181888	+	0.983319i	$0.441779\pi$
$182$	−9.54859	−	8.81154i	−0.707788	−	0.653155i
$183$	−14.9615	+	14.9615i	−1.10598	+	1.10598i
$184$	−6.93786	−	6.79412i	−0.511466	−	0.500869i
$185$	−1.47304	−	7.55292i	−0.108300	−	0.555301i
$186$	−23.6555	+	6.42702i	−1.73451	+	0.471252i
$187$	8.74833	−	8.74833i	0.639741	−	0.639741i
$188$	−19.4682	−	5.07115i	−1.41986	−	0.369851i
$189$	3.87861			0.282127
$190$	14.3506	−	7.07251i	1.04110	−	0.513094i
$191$		−	9.65925i		−	0.698919i	−0.936951	−	0.349460i	$-0.886365\pi$
$191$		−	9.65925i		−	0.698919i	0.936951	−	0.349460i	$-0.113635\pi$
$192$	12.7973	−	13.3446i	0.923564	−	0.963065i
$193$	8.33730	−	8.33730i	0.600132	−	0.600132i	−0.340216	−	0.940347i	$-0.610500\pi$
$193$	8.33730	−	8.33730i	0.600132	−	0.600132i	0.940347	+	0.340216i	$0.110500\pi$
$194$	−0.320781	−	1.18068i	−0.0230308	−	0.0847678i
$195$	−12.7397	−	13.5974i	−0.912311	−	0.973732i
$196$	−0.874539	+	0.513085i	−0.0624671	+	0.0366490i
$197$	−5.18463	−	5.18463i	−0.369390	−	0.369390i	0.497865	−	0.867255i	$-0.334118\pi$
$197$	−5.18463	−	5.18463i	−0.369390	−	0.369390i	−0.867255	+	0.497865i	$0.834118\pi$
$198$	−4.71996	+	8.24148i	−0.335433	+	0.585696i
$199$	−2.05260			−0.145505			−0.0727526	−	0.997350i	$-0.523178\pi$
$199$	−2.05260			−0.145505			−0.0727526	+	0.997350i	$0.523178\pi$
$200$	13.0494	−	5.45102i	0.922731	−	0.385445i
$201$			4.64338i			0.327519i
$202$	24.0313	+	13.7629i	1.69083	+	0.968354i
$203$	12.2449	+	12.2449i	0.859423	+	0.859423i
$204$	−17.1969	+	10.0893i	−1.20403	+	0.706393i
$205$	−4.66908	+	6.93154i	−0.326103	+	0.484120i
$206$	−14.3214	+	3.89100i	−0.997817	+	0.271099i
$207$	−5.68404	−	5.68404i	−0.395068	−	0.395068i
$208$	14.4038	−	0.729302i	0.998721	−	0.0505680i
$209$		−	14.5111i		−	1.00375i
$210$	16.7046	−	8.23261i	1.15272	−	0.568104i
$211$			21.8754i			1.50596i	0.658041	+	0.752982i	$0.271385\pi$
$211$			21.8754i			1.50596i	−0.658041	+	0.752982i	$0.728615\pi$
$212$	1.66521	−	6.39277i	0.114367	−	0.439057i
$213$	−4.58649	+	4.58649i	−0.314261	+	0.314261i
$214$	6.18681	+	22.7714i	0.422922	+	1.55662i
$215$	−4.22903	+	0.824786i	−0.288418	+	0.0562499i
$216$	−3.01223	+	3.07596i	−0.204957	+	0.209293i
$217$	13.5134	−	13.5134i	0.917348	−	0.917348i
$218$	20.8670	+	11.9507i	1.41329	+	0.809403i
$219$			18.1030i			1.22329i
$220$	0.797456	−	12.8023i	0.0537645	−	0.863130i
$221$	−15.1598	−	3.47236i	−1.01976	−	0.233577i
$222$	9.76068	+	5.59002i	0.655094	+	0.375177i
$223$	−8.75815	−	8.75815i	−0.586489	−	0.586489i	0.350190	−	0.936679i	$-0.386117\pi$
$223$	−8.75815	−	8.75815i	−0.586489	−	0.586489i	−0.936679	+	0.350190i	$0.886117\pi$
$224$	−3.48729	+	13.9863i	−0.233004	+	0.934497i
$225$	10.8490	−	4.39908i	0.723268	−	0.293272i
$226$	2.39767	+	8.82496i	0.159491	+	0.587028i
$227$	−10.4904	+	10.4904i	−0.696275	+	0.696275i	−0.963605	−	0.267330i	$-0.913859\pi$
$227$	−10.4904	+	10.4904i	−0.696275	+	0.696275i	0.267330	+	0.963605i	$0.413859\pi$
$228$	−5.89481	+	22.6302i	−0.390393	+	1.49872i
$229$	−16.8561			−1.11389			−0.556943	−	0.830551i	$-0.688026\pi$
$229$	−16.8561			−1.11389			−0.556943	+	0.830551i	$0.688026\pi$
$230$	10.2797	+	3.49233i	0.677820	+	0.230277i
$231$		−	16.8914i		−	1.11137i
$232$	−19.2206	+	0.201193i	−1.26190	+	0.0132090i
$233$	−5.97980	−	5.97980i	−0.391750	−	0.391750i	0.483561	−	0.875311i	$-0.339343\pi$
$233$	−5.97980	−	5.97980i	−0.391750	−	0.391750i	−0.875311	+	0.483561i	$0.839343\pi$
$234$	11.9292	−	0.478886i	0.779837	−	0.0313057i
$235$	22.0765	−	4.30556i	1.44011	−	0.280864i
$236$	8.13500	−	4.77274i	0.529543	−	0.310679i
$237$	27.3126	−	27.3126i	1.77414	−	1.77414i
$238$	7.72503	−	13.4886i	0.500739	−	0.874337i
$239$			2.54185i			0.164419i	0.996615	+	0.0822094i	$0.0261976\pi$
$239$			2.54185i			0.164419i	−0.996615	+	0.0822094i	$0.973802\pi$
$240$	−6.44428	+	19.6414i	−0.415977	+	1.26784i
$241$			0.873299i			0.0562542i	0.999604	+	0.0281271i	$0.00895431\pi$
$241$			0.873299i			0.0562542i	−0.999604	+	0.0281271i	$0.991046\pi$
$242$	3.40338	+	1.94914i	0.218777	+	0.125295i
$243$	−13.9992	+	13.9992i	−0.898048	+	0.898048i
$244$	9.26550	+	15.7928i	0.593163	+	1.01103i
$245$	0.633324	−	0.940210i	0.0404616	−	0.0600678i
$246$	−3.20289	−	11.7887i	−0.204209	−	0.751618i
$247$	−15.4529	+	9.69318i	−0.983244	+	0.616762i
$248$	0.222036	+	21.2117i	0.0140993	+	1.34695i
$249$	10.7499			0.681249
$250$	−10.5167	+	11.8067i	−0.665134	+	0.746724i
$251$			14.0071i			0.884120i	0.896985	+	0.442060i	$0.145752\pi$
$251$			14.0071i			0.884120i	−0.896985	+	0.442060i	$0.854248\pi$
$252$	−3.00783	+	11.5471i	−0.189476	+	0.727399i
$253$	6.96299	−	6.96299i	0.437759	−	0.437759i
$254$	−1.13752	−	4.18678i	−0.0713741	−	0.262702i
$255$	12.4537	−	18.4883i	0.779880	−	1.15778i
$256$	−8.38360	−	13.6277i	−0.523975	−	0.851734i
$257$	−8.14242	+	8.14242i	−0.507910	+	0.507910i	−0.913885	−	0.405974i	$-0.866932\pi$
$257$	−8.14242	+	8.14242i	−0.507910	+	0.507910i	0.405974	+	0.913885i	$0.366932\pi$
$258$	3.12997	−	5.46521i	0.194863	−	0.340249i
$259$	−8.76919			−0.544891
$260$	−14.1659	+	7.70250i	−0.878529	+	0.477689i
$261$	−15.9119			−0.984920
$262$	−14.1736	+	24.7485i	−0.875650	+	1.52896i
$263$	−7.73352	+	7.73352i	−0.476869	+	0.476869i	−0.904129	−	0.427260i	$-0.859479\pi$
$263$	−7.73352	+	7.73352i	−0.476869	+	0.476869i	0.427260	+	0.904129i	$0.359479\pi$
$264$	13.3958	+	13.1183i	0.824456	+	0.807375i
$265$	1.41382	+	7.24925i	0.0868501	+	0.445318i
$266$	−4.78011	−	17.5938i	−0.293087	−	1.07875i
$267$	1.12765	−	1.12765i	0.0690109	−	0.0690109i
$268$	3.88850	+	1.01289i	0.237528	+	0.0618721i
$269$		−	0.0681509i		−	0.00415523i	−0.999998	−	0.00207762i	$-0.999339\pi$
$269$		−	0.0681509i		−	0.00415523i	0.999998	−	0.00207762i	$-0.000661326\pi$
$270$	1.54835	−	4.55757i	0.0942298	−	0.277365i
$271$	4.89920			0.297605			0.148803	−	0.988867i	$-0.452458\pi$
$271$	4.89920			0.297605			0.148803	+	0.988867i	$0.452458\pi$
$272$	4.69778	+	16.6020i	0.284845	+	1.00665i
$273$	−17.9876	+	11.2831i	−1.08866	+	0.682887i
$274$	−5.31006	−	19.5444i	−0.320792	−	1.18072i
$275$	5.38891	+	13.2901i	0.324963	+	0.801425i
$276$	−13.6874	+	8.03030i	−0.823885	+	0.483367i
$277$	12.5034	−	12.5034i	0.751255	−	0.751255i	−0.223459	−	0.974713i	$-0.571735\pi$
$277$	12.5034	−	12.5034i	0.751255	−	0.751255i	0.974713	+	0.223459i	$0.0717348\pi$
$278$	−8.53432	−	4.88767i	−0.511854	−	0.293143i
$279$			17.5602i			1.05130i
$280$	−3.25034	−	15.7847i	−0.194245	−	0.943316i
$281$			22.0270i			1.31402i	0.753881	+	0.657012i	$0.228180\pi$
$281$			22.0270i			1.31402i	−0.753881	+	0.657012i	$0.771820\pi$
$282$	−16.3391	+	28.5296i	−0.972979	+	1.69891i
$283$	−5.03687	+	5.03687i	−0.299411	+	0.299411i	−0.840783	−	0.541372i	$-0.817905\pi$
$283$	−5.03687	+	5.03687i	−0.299411	+	0.299411i	0.541372	+	0.840783i	$0.317905\pi$
$284$	2.84037	+	4.84133i	0.168545	+	0.287280i
$285$	−5.00487	−	25.6622i	−0.296463	−	1.52009i
$286$	0.586638	+	14.6134i	0.0346887	+	0.864107i
$287$	6.73436	+	6.73436i	0.397517	+	0.397517i
$288$	−6.82155	−	11.3532i	−0.401964	−	0.668992i
$289$		−	1.60602i		−	0.0944717i
$290$	19.2766	−	9.50020i	1.13196	−	0.557871i
$291$	−1.99944			−0.117209
$292$	15.1600	+	3.94893i	0.887171	+	0.231094i
$293$	4.29024	−	4.29024i	0.250638	−	0.250638i	−0.570594	−	0.821232i	$-0.693287\pi$
$293$	4.29024	−	4.29024i	0.250638	−	0.250638i	0.821232	+	0.570594i	$0.193287\pi$
$294$	0.434447	+	1.59904i	0.0253375	+	0.0932580i
$295$	−5.89121	+	8.74587i	−0.343000	+	0.509204i
$296$	6.81039	−	6.95448i	0.395846	−	0.404221i
$297$	−3.08710	−	3.08710i	−0.179132	−	0.179132i
$298$	−5.67756	−	3.25158i	−0.328892	−	0.188359i
$299$	−12.0661	−	2.76373i	−0.697798	−	0.159831i
$300$	−3.00524	−	22.9152i	−0.173508	−	1.32301i
$301$			4.91005i			0.283011i
$302$	−26.8157	−	15.3576i	−1.54307	−	0.883728i
$303$	32.0016	−	32.0016i	1.83845	−	1.83845i
$304$	17.6653	+	9.87295i	1.01317	+	0.566252i
$305$	−16.9787	−	11.4368i	−0.972197	−	0.654871i
$306$	3.74480	+	13.7832i	0.214076	+	0.787935i
$307$	−16.3306	+	16.3306i	−0.932037	+	0.932037i	−0.997833	−	0.0657965i	$-0.979041\pi$
$307$	−16.3306	+	16.3306i	−0.932037	+	0.932037i	0.0657965	+	0.997833i	$0.479041\pi$
$308$	−14.1453	−	3.68462i	−0.806002	−	0.209951i
$309$			24.2528i			1.37969i
$310$	−10.4844	−	21.2735i	−0.595471	−	1.20825i
$311$		−	8.57004i		−	0.485962i	−0.970031	−	0.242981i	$-0.921875\pi$
$311$		−	8.57004i		−	0.485962i	0.970031	−	0.242981i	$-0.0781253\pi$
$312$	5.02148	−	23.0280i	0.284286	−	1.30370i
$313$	3.62652	+	3.62652i	0.204983	+	0.204983i	0.802131	−	0.597148i	$-0.203700\pi$
$313$	3.62652	+	3.62652i	0.204983	+	0.204983i	−0.597148	+	0.802131i	$0.703700\pi$
$314$	6.86335	−	1.86472i	0.387321	−	0.105232i
$315$	−2.55374	−	13.0941i	−0.143887	−	0.737771i
$316$	−16.9145	−	28.8302i	−0.951512	−	1.62183i
$317$	10.8367	+	10.8367i	0.608652	+	0.608652i	0.942594	−	0.333942i	$-0.108379\pi$
$317$	10.8367	+	10.8367i	0.608652	+	0.608652i	−0.333942	+	0.942594i	$0.608379\pi$
$318$	−9.36826	−	5.36527i	−0.525346	−	0.300870i
$319$		−	19.4922i		−	1.09135i
$320$	15.0425	+	9.68111i	0.840900	+	0.541191i
$321$	38.5627			2.15236
$322$	6.14852	−	10.7359i	0.342644	−	0.598288i
$323$	−15.4312	−	15.4312i	−0.858613	−	0.858613i
$324$	10.6692	+	18.1854i	0.592734	+	1.01030i
$325$	10.5530	−	14.6162i	0.585374	−	0.810763i
$326$	−1.29815	−	4.77802i	−0.0718979	−	0.264630i
$327$	27.7879	−	27.7879i	1.53667	−	1.53667i
$328$	−10.5708	+	0.110651i	−0.583676	+	0.00610967i
$329$		−	25.6315i		−	1.41311i
$330$	−19.8482	−	6.74308i	−1.09261	−	0.371194i
$331$	9.27419			0.509756			0.254878	−	0.966973i	$-0.417965\pi$
$331$	9.27419			0.509756			0.254878	+	0.966973i	$0.417965\pi$
$332$	2.34495	−	9.00229i	0.128696	−	0.494065i
$333$	5.69765	−	5.69765i	0.312229	−	0.312229i
$334$	−29.4239	+	7.99423i	−1.61000	+	0.437425i
$335$	−4.40946	+	0.859975i	−0.240915	+	0.0469854i
$336$	20.5629	+	11.4924i	1.12180	+	0.626962i
$337$	−5.07755	+	5.07755i	−0.276592	+	0.276592i	−0.831747	−	0.555155i	$-0.812659\pi$
$337$	−5.07755	+	5.07755i	−0.276592	+	0.276592i	0.555155	+	0.831747i	$0.312659\pi$
$338$	15.1699	−	10.3862i	0.825135	−	0.564935i
$339$	14.9448			0.811690
$340$	−12.7660	−	14.4620i	−0.692333	−	0.784313i
$341$	−21.5114			−1.16491
$342$	14.5371	+	8.32552i	0.786078	+	0.450193i
$343$	−13.5261	−	13.5261i	−0.730342	−	0.730342i
$344$	−3.89396	−	3.81328i	−0.209948	−	0.205598i
$345$	9.91216	−	14.7152i	0.533653	−	0.792241i
$346$	−4.16843	−	15.3425i	−0.224096	−	0.824816i
$347$	3.16853	+	3.16853i	0.170096	+	0.170096i	0.787021	−	0.616926i	$-0.211622\pi$
$347$	3.16853	+	3.16853i	0.170096	+	0.170096i	−0.616926	+	0.787021i	$0.711622\pi$
$348$	−7.91825	+	30.3982i	−0.424463	+	1.62952i
$349$	16.3474			0.875059			0.437529	−	0.899204i	$-0.355854\pi$
$349$	16.3474			0.875059			0.437529	+	0.899204i	$0.355854\pi$
$350$	10.9116	+	14.3383i	0.583252	+	0.766416i
$351$	−1.22532	+	5.34959i	−0.0654030	+	0.285540i
$352$	13.9077	−	8.35645i	0.741284	−	0.445400i
$353$	−14.3438	+	14.3438i	−0.763442	+	0.763442i	−0.976943	−	0.213501i	$-0.931513\pi$
$353$	−14.3438	+	14.3438i	−0.763442	+	0.763442i	0.213501	+	0.976943i	$0.431513\pi$
$354$	−4.04125	−	14.8744i	−0.214790	−	0.790563i
$355$	−5.20488	−	3.50600i	−0.276246	−	0.186079i
$356$	−0.698342	−	1.19030i	−0.0370121	−	0.0630860i
$357$	−17.9623	−	17.9623i	−0.950668	−	0.950668i
$358$	−5.19214	−	2.97357i	−0.274413	−	0.157158i
$359$		−	23.3016i		−	1.22981i	−0.788600	−	0.614906i	$-0.789194\pi$
$359$		−	23.3016i		−	1.22981i	0.788600	−	0.614906i	$-0.210806\pi$
$360$	12.3677	+	8.14400i	0.651836	+	0.429227i
$361$	−6.59612			−0.347164
$362$	−6.00607	−	3.43972i	−0.315672	−	0.180788i
$363$	4.53216	−	4.53216i	0.237877	−	0.237877i
$364$	5.52506	+	17.5246i	0.289592	+	0.918538i
$365$	−17.1911	+	3.35276i	−0.899821	+	0.175492i
$366$	28.8761	−	7.84542i	1.50938	−	0.410087i
$367$	25.8727	+	25.8727i	1.35054	+	1.35054i	0.885052	+	0.465491i	$0.154122\pi$
$367$	25.8727	+	25.8727i	1.35054	+	1.35054i	0.465491	+	0.885052i	$0.345878\pi$
$368$	3.73907	+	13.2139i	0.194912	+	0.688823i
$369$	−8.75109			−0.455564
$370$	−3.50069	+	10.3043i	−0.181992	+	0.535693i
$371$	8.41663			0.436970
$372$	33.5473	+	8.73852i	1.73934	+	0.453071i
$373$	7.06704	+	7.06704i	0.365917	+	0.365917i	0.865986	−	0.500069i	$-0.166692\pi$
$373$	7.06704	+	7.06704i	0.365917	+	0.365917i	−0.500069	+	0.865986i	$0.666692\pi$
$374$	−16.8846	+	4.58741i	−0.873080	+	0.237209i
$375$	14.1138	+	21.6443i	0.728832	+	1.11771i
$376$	20.3273	+	19.9061i	1.04830	+	1.02658i
$377$	−20.7572	+	13.0204i	−1.06905	+	0.670587i
$378$	−4.75985	−	2.72600i	−0.244820	−	0.140210i
$379$			10.3135i			0.529767i	0.964280	+	0.264884i	$0.0853335\pi$
$379$			10.3135i			0.529767i	−0.964280	+	0.264884i	$0.914666\pi$
$380$	−22.5819	−	1.40663i	−1.15843	−	0.0721587i
$381$	−7.09019			−0.363241
$382$	−6.78881	+	11.8539i	−0.347346	+	0.606497i
$383$	−5.79036	−	5.79036i	−0.295873	−	0.295873i	0.543522	−	0.839395i	$-0.317091\pi$
$383$	−5.79036	−	5.79036i	−0.295873	−	0.295873i	−0.839395	+	0.543522i	$0.817091\pi$
$384$	−25.0839	+	7.38228i	−1.28006	+	0.376725i
$385$	16.0404	−	3.12835i	0.817496	−	0.159436i
$386$	−16.0913	+	4.37187i	−0.819024	+	0.222522i
$387$	−3.19023	−	3.19023i	−0.162169	−	0.162169i
$388$	−0.436151	+	1.67439i	−0.0221422	+	0.0850042i
$389$			10.5068i			0.532715i	0.963874	+	0.266357i	$0.0858201\pi$
$389$			10.5068i			0.532715i	−0.963874	+	0.266357i	$0.914180\pi$
$390$	6.07758	+	25.6407i	0.307750	+	1.29837i
$391$		−	14.8089i		−	0.748920i
$392$	1.43385	−	0.0150089i	0.0724204	−	0.000758066i
$393$	32.9567	+	32.9567i	1.66244	+	1.66244i
$394$	2.71869	+	10.0065i	0.136966	+	0.504121i
$395$	30.9951	+	20.8783i	1.55953	+	1.05050i
$396$	11.5847	−	6.79666i	0.582153	−	0.341545i
$397$	−18.0247	−	18.0247i	−0.904635	−	0.904635i	0.0911976	−	0.995833i	$-0.470930\pi$
$397$	−18.0247	−	18.0247i	−0.904635	−	0.904635i	−0.995833	+	0.0911976i	$0.970930\pi$
$398$	2.51896	+	1.44263i	0.126264	+	0.0723125i
$399$	−29.7946			−1.49160
$400$	−19.8454	−	2.48197i	−0.992270	−	0.124099i
$401$		−	28.9089i		−	1.44364i	−0.692080	−	0.721820i	$-0.743306\pi$
$401$		−	28.9089i		−	1.44364i	0.692080	−	0.721820i	$-0.256694\pi$
$402$	3.26351	−	5.69838i	0.162769	−	0.284209i
$403$	14.3693	+	22.9075i	0.715784	+	1.14110i
$404$	−19.8183	−	33.7798i	−0.985999	−	1.68061i
$405$	−19.5509	−	13.1695i	−0.971494	−	0.654397i
$406$	−6.42092	−	23.6331i	−0.318665	−	1.17289i
$407$	6.97966	+	6.97966i	0.345969	+	0.345969i
$408$	28.1952	−	0.295135i	1.39587	−	0.0146114i
$409$	33.8248			1.67253			0.836266	−	0.548325i	$-0.184734\pi$
$409$	33.8248			1.67253			0.836266	+	0.548325i	$0.184734\pi$
$410$	10.6016	−	5.22485i	0.523576	−	0.258037i
$411$	−33.0978			−1.63259
$412$	20.3100	+	5.29042i	1.00060	+	0.260640i
$413$	8.49708	+	8.49708i	0.418114	+	0.418114i
$414$	2.98057	+	10.9704i	0.146487	+	0.539165i
$415$	1.99093	+	10.2084i	0.0977312	+	0.501110i
$416$	−18.1889	−	9.22838i	−0.891786	−	0.452458i
$417$	−11.3649	+	11.3649i	−0.556540	+	0.556540i
$418$	−10.1988	+	17.8081i	−0.498841	+	0.871022i
$419$	29.8088			1.45626			0.728128	−	0.685441i	$-0.240391\pi$
$419$	29.8088			1.45626			0.728128	+	0.685441i	$0.240391\pi$
$420$	−26.2860	−	1.63736i	−1.28263	−	0.0798950i
$421$		−	22.2675i		−	1.08525i	−0.839974	−	0.542626i	$-0.817430\pi$
$421$		−	22.2675i		−	1.08525i	0.839974	−	0.542626i	$-0.182570\pi$
$422$	15.3747	−	26.8456i	0.748427	−	1.30682i
$423$	16.6537	+	16.6537i	0.809730	+	0.809730i
$424$	−6.53658	+	6.67488i	−0.317445	+	0.324161i
$425$	19.8634	+	8.40220i	0.963515	+	0.407567i
$426$	8.85208	−	2.40504i	0.428885	−	0.116525i
$427$	−16.4957	+	16.4957i	−0.798282	+	0.798282i
$428$	8.41192	−	32.2934i	0.406606	−	1.56096i
$429$	23.2975	+	5.33629i	1.12481	+	0.257638i
$430$	5.76957	+	1.96011i	0.278234	+	0.0945248i
$431$	−16.6731			−0.803116			−0.401558	−	0.915834i	$-0.631531\pi$
$431$	−16.6731			−0.803116			−0.401558	+	0.915834i	$0.631531\pi$
$432$	5.85850	−	1.65775i	0.281867	−	0.0797585i
$433$	−14.3063	−	14.3063i	−0.687515	−	0.687515i	0.274167	−	0.961682i	$-0.411598\pi$
$433$	−14.3063	−	14.3063i	−0.687515	−	0.687515i	−0.961682	+	0.274167i	$0.911598\pi$
$434$	−26.0813	+	7.08608i	−1.25194	+	0.340143i
$435$	−6.72283	−	34.4709i	−0.322335	−	1.65275i
$436$	−17.2088	−	29.3319i	−0.824152	−	1.40474i
$437$	−12.2820	−	12.2820i	−0.587528	−	0.587528i
$438$	12.7233	−	22.2161i	0.607945	−	1.06153i
$439$	−1.27466			−0.0608361			−0.0304181	−	0.999537i	$-0.509684\pi$
$439$	−1.27466			−0.0608361			−0.0304181	+	0.999537i	$0.509684\pi$
$440$	−9.97646	+	15.1505i	−0.475609	+	0.722274i
$441$	1.18702			0.0565246
$442$	16.1638	+	14.9161i	0.768831	+	0.709486i
$443$	4.65182	−	4.65182i	0.221015	−	0.221015i	−0.587911	−	0.808926i	$-0.700049\pi$
$443$	4.65182	−	4.65182i	0.221015	−	0.221015i	0.808926	+	0.587911i	$0.200049\pi$
$444$	−8.04953	−	13.7202i	−0.382014	−	0.651131i
$445$	1.27969	+	0.861995i	0.0606629	+	0.0408625i
$446$	4.59256	+	16.9035i	0.217464	+	0.800405i
$447$	−7.56062	+	7.56062i	−0.357605	+	0.357605i
$448$	14.1096	−	14.7130i	0.666615	−	0.695126i
$449$	−4.97674			−0.234867			−0.117434	−	0.993081i	$-0.537467\pi$
$449$	−4.97674			−0.234867			−0.117434	+	0.993081i	$0.537467\pi$
$450$	−16.4058	−	2.22644i	−0.773376	−	0.104955i
$451$		−	10.7202i		−	0.504792i
$452$	3.26000	−	12.5152i	0.153338	−	0.588665i
$453$	−35.7096	+	35.7096i	−1.67778	+	1.67778i
$454$	20.2469	−	5.50093i	0.950234	−	0.258171i
$455$	−14.0461	−	14.9918i	−0.658493	−	0.702825i
$456$	23.1393	−	23.6289i	1.08360	−	1.10652i
$457$	9.07097	+	9.07097i	0.424322	+	0.424322i	0.886689	−	0.462367i	$-0.153000\pi$
$457$	9.07097	+	9.07097i	0.424322	+	0.424322i	−0.462367	+	0.886689i	$0.653000\pi$
$458$	20.6859	+	11.8470i	0.966591	+	0.553574i
$459$	−6.56567			−0.306459
$460$	−10.1607	−	11.5106i	−0.473746	−	0.536686i
$461$			29.0770i			1.35425i	0.735867	+	0.677126i	$0.236775\pi$
$461$			29.0770i			1.35425i	−0.735867	+	0.677126i	$0.763225\pi$
$462$	−11.8717	+	20.7291i	−0.552323	+	0.964407i
$463$	16.7239	+	16.7239i	0.777227	+	0.777227i	0.979358	−	0.202132i	$-0.0647869\pi$
$463$	16.7239	+	16.7239i	0.777227	+	0.777227i	−0.202132	+	0.979358i	$0.564787\pi$
$464$	23.7290	+	13.2619i	1.10159	+	0.615669i
$465$	−38.0418	+	7.41927i	−1.76415	+	0.344060i
$466$	3.13566	+	11.5412i	0.145257	+	0.534637i
$467$	−23.0476	−	23.0476i	−1.06652	−	1.06652i	−0.997624	−	0.0688934i	$-0.978053\pi$
$467$	−23.0476	−	23.0476i	−1.06652	−	1.06652i	−0.0688934	−	0.997624i	$-0.521947\pi$
$468$	−14.9762	−	7.79651i	−0.692273	−	0.360394i
$469$			5.11954i			0.236398i
$470$	−30.1184	−	10.2322i	−1.38926	−	0.471976i
$471$		−	11.6229i		−	0.535554i
$472$	−13.3377	+	0.139614i	−0.613919	+	0.00642624i
$473$	3.90806	−	3.90806i	0.179693	−	0.179693i
$474$	−52.7143	+	14.3221i	−2.42125	+	0.657834i
$475$	23.4425	−	9.50549i	1.07561	−	0.436142i
$476$	−18.9604	+	11.1239i	−0.869048	+	0.509864i
$477$	−5.46858	+	5.46858i	−0.250389	+	0.250389i
$478$	1.78649	−	3.11937i	0.0817121	−	0.142677i
$479$		−	17.6387i		−	0.805934i	−0.915215	−	0.402967i	$-0.867979\pi$
$479$		−	17.6387i		−	0.805934i	0.915215	−	0.402967i	$-0.132021\pi$
$480$	21.7130	−	19.5747i	0.991057	−	0.893460i
$481$	2.77035	−	12.0949i	0.126317	−	0.551482i
$482$	0.613780	−	1.07172i	0.0279569	−	0.0488154i
$483$	−14.2966	−	14.2966i	−0.650519	−	0.650519i
$484$	−2.80673	−	4.78399i	−0.127579	−	0.217454i
$485$	−0.370306	−	1.89872i	−0.0168147	−	0.0862163i
$486$	27.0189	−	7.34082i	1.22560	−	0.332986i
$487$	16.4050	−	16.4050i	0.743380	−	0.743380i	−0.229847	−	0.973227i	$-0.573823\pi$
$487$	16.4050	−	16.4050i	0.743380	−	0.743380i	0.973227	+	0.229847i	$0.0738226\pi$
$488$	−0.271037	−	25.8930i	−0.0122693	−	1.17212i
$489$	−8.09142			−0.365907
$490$	−1.43803	+	0.708711i	−0.0649634	+	0.0320163i
$491$			18.4831i			0.834130i	0.908877	+	0.417065i	$0.136941\pi$
$491$			18.4831i			0.834130i	−0.908877	+	0.417065i	$0.863059\pi$
$492$	−4.35482	+	16.7182i	−0.196330	+	0.753714i
$493$	−20.7280	−	20.7280i	−0.933544	−	0.933544i
$494$	25.7765	−	1.03477i	1.15974	−	0.0465565i
$495$	−8.38942	+	12.4546i	−0.377076	+	0.559793i
$496$	14.6358	−	26.1872i	0.657165	−	1.17584i
$497$	−5.05681	+	5.05681i	−0.226829	+	0.226829i
$498$	−13.1924	−	7.55537i	−0.591164	−	0.338564i
$499$		−	13.1530i		−	0.588810i	−0.955681	−	0.294405i	$-0.904878\pi$
$499$		−	13.1530i		−	0.588810i	0.955681	−	0.294405i	$-0.0951215\pi$
$500$	21.2043	−	7.09785i	0.948283	−	0.317425i
$501$			49.8284i			2.22617i
$502$	9.84460	−	17.1896i	0.439386	−	0.767208i
$503$	−2.48957	+	2.48957i	−0.111005	+	0.111005i	−0.760427	−	0.649423i	$-0.775011\pi$
$503$	−2.48957	+	2.48957i	−0.111005	+	0.111005i	0.649423	+	0.760427i	$0.275011\pi$
$504$	11.8069	−	12.0567i	0.525920	−	0.537046i
$505$	36.3163	+	24.4627i	1.61606	+	1.08857i
$506$	−13.4388	+	3.65122i	−0.597428	+	0.162316i
$507$	−9.87971	−	28.3741i	−0.438773	−	1.26014i
$508$	−1.54663	+	5.93752i	−0.0686205	+	0.263435i
$509$	5.04310			0.223532			0.111766	−	0.993735i	$-0.464349\pi$
$509$	5.04310			0.223532			0.111766	+	0.993735i	$0.464349\pi$
$510$	−28.2773	+	13.9361i	−1.25214	+	0.617100i
$511$			19.9594i			0.882952i
$512$	0.710420	+	22.6163i	0.0313964	+	0.999507i
$513$	−5.44533	+	5.44533i	−0.240417	+	0.240417i
$514$	15.7152	−	4.26969i	0.693166	−	0.188328i
$515$	−23.0310	+	4.49172i	−1.01487	+	0.197929i
$516$	−7.68222	+	4.50710i	−0.338191	+	0.198414i
$517$	−20.4009	+	20.4009i	−0.897231	+	0.897231i
$518$	10.7616	+	6.16325i	0.472837	+	0.270797i
$519$	−25.9820			−1.14048
$520$	22.7979	+	0.503628i	0.999756	+	0.0220855i
$521$	−8.86981			−0.388593			−0.194297	−	0.980943i	$-0.562242\pi$
$521$	−8.86981			−0.388593			−0.194297	+	0.980943i	$0.562242\pi$
$522$	19.5271	+	11.1833i	0.854678	+	0.489481i
$523$	0.908020	−	0.908020i	0.0397050	−	0.0397050i	−0.686976	−	0.726681i	$-0.741062\pi$
$523$	0.908020	−	0.908020i	0.0397050	−	0.0397050i	0.726681	+	0.686976i	$0.241062\pi$
$524$	34.7879	−	20.4098i	1.51972	−	0.891605i
$525$	27.2877	−	11.0647i	1.19093	−	0.482902i
$526$	14.9259	−	4.05526i	0.650802	−	0.176818i
$527$	−22.8753	+	22.8753i	−0.996464	+	0.996464i
$528$	−7.21950	−	25.5138i	−0.314188	−	1.11035i
$529$			11.2132i			0.487532i
$530$	3.35995	−	9.88999i	0.145947	−	0.429594i
$531$	−11.0417			−0.479168
$532$	−6.49929	+	24.9508i	−0.281780	+	1.08176i
$533$	−11.4159	+	7.16088i	−0.494478	+	0.310172i
$534$	−2.17640	+	0.591311i	−0.0941820	+	0.0255885i
$535$	7.14198	+	36.6200i	0.308775	+	1.58322i
$536$	−4.06009	−	3.97597i	−0.175369	−	0.171736i
$537$	−6.91419	+	6.91419i	−0.298369	+	0.298369i
$538$	−0.0478984	+	0.0836351i	−0.00206505	+	0.00360576i
$539$			1.45411i			0.0626328i
$540$	−5.10334	+	4.50485i	−0.219613	+	0.193858i
$541$			6.14081i			0.264014i	0.991249	+	0.132007i	$0.0421421\pi$
$541$			6.14081i			0.264014i	−0.991249	+	0.132007i	$0.957858\pi$
$542$	−6.01232	−	3.44330i	−0.258251	−	0.147903i
$543$	−7.99808	+	7.99808i	−0.343230	+	0.343230i
$544$	5.90324	−	23.6758i	0.253100	−	1.01509i
$545$	31.5345	+	21.2416i	1.35079	+	0.909890i
$546$	30.0046	−	1.20450i	1.28408	−	0.0515480i
$547$	5.80253	+	5.80253i	0.248098	+	0.248098i	0.820190	−	0.572091i	$-0.193868\pi$
$547$	5.80253	+	5.80253i	0.248098	+	0.248098i	−0.572091	+	0.820190i	$0.693868\pi$
$548$	−7.21984	+	27.7170i	−0.308416	+	1.18401i
$549$		−	21.4356i		−	0.914851i
$550$	2.72741	−	20.0972i	0.116297	−	0.856947i
$551$	−34.3822			−1.46473
$552$	22.4412	−	0.234905i	0.955160	−	0.00999821i
$553$	30.1134	−	30.1134i	1.28055	−	1.28055i
$554$	−24.1319	+	6.55646i	−1.02527	+	0.278557i
$555$	14.7505	+	9.93590i	0.626122	+	0.421755i
$556$	7.03816	+	11.9963i	0.298484	+	0.508758i
$557$	8.73598	+	8.73598i	0.370155	+	0.370155i	0.867534	−	0.497378i	$-0.165704\pi$
$557$	8.73598	+	8.73598i	0.370155	+	0.370155i	−0.497378	+	0.867534i	$0.665704\pi$
$558$	12.3418	−	21.5500i	0.522472	−	0.912283i
$559$	−6.77221	−	1.55118i	−0.286434	−	0.0656078i
$560$	−7.10511	+	21.6555i	−0.300246	+	0.915111i
$561$			28.5935i			1.20722i
$562$	15.4812	−	27.0317i	0.653037	−	1.14026i
$563$	−22.9152	+	22.9152i	−0.965762	+	0.965762i	−0.999433	−	0.0336711i	$-0.989280\pi$
$563$	−22.9152	+	22.9152i	−0.965762	+	0.965762i	0.0336711	+	0.999433i	$0.489280\pi$
$564$	40.1028	−	23.5280i	1.68863	−	0.990708i
$565$	2.76784	+	14.1919i	0.116444	+	0.597059i
$566$	9.72134	−	2.64121i	0.408618	−	0.111018i
$567$	−18.9948	+	18.9948i	−0.797705	+	0.797705i
$568$	−0.0830875	−	7.93760i	−0.00348627	−	0.333054i
$569$		−	37.0883i		−	1.55482i	−0.628993	−	0.777411i	$-0.716533\pi$
$569$		−	37.0883i		−	1.55482i	0.628993	−	0.777411i	$-0.283467\pi$
$570$	−11.8941	+	35.0103i	−0.498189	+	1.46642i
$571$		−	19.8776i		−	0.831850i	−0.909399	−	0.415925i	$-0.863458\pi$
$571$		−	19.8776i		−	0.831850i	0.909399	−	0.415925i	$-0.136542\pi$
$572$	9.55078	−	18.3459i	0.399338	−	0.767081i
$573$	15.7854	+	15.7854i	0.659445	+	0.659445i
$574$	−3.53133	−	12.9975i	−0.147395	−	0.542507i
$575$	15.8097	+	6.68750i	0.659310	+	0.278888i
$576$	0.392097	+	18.7271i	0.0163374	+	0.780294i
$577$	−20.9677	−	20.9677i	−0.872898	−	0.872898i	0.119889	−	0.992787i	$-0.461746\pi$
$577$	−20.9677	−	20.9677i	−0.872898	−	0.872898i	−0.992787	+	0.119889i	$0.961746\pi$
$578$	−1.12876	+	1.97091i	−0.0469501	+	0.0819792i
$579$			27.2501i			1.13247i
$580$	−30.3334	−	1.88947i	−1.25952	−	0.0784559i
$581$	11.8523			0.491716
$582$	2.45373	+	1.40527i	0.101710	+	0.0582502i
$583$	−6.69905	−	6.69905i	−0.277446	−	0.277446i
$584$	−15.8290	−	15.5010i	−0.655007	−	0.641437i
$585$	18.8669	+	0.614421i	0.780051	+	0.0254032i
$586$	−8.28031	+	2.24970i	−0.342056	+	0.0929341i
$587$	18.2145	−	18.2145i	0.751793	−	0.751793i	−0.223021	−	0.974814i	$-0.571592\pi$
$587$	18.2145	−	18.2145i	0.751793	−	0.751793i	0.974814	+	0.223021i	$0.0715918\pi$
$588$	0.590698	−	2.26769i	0.0243600	−	0.0935181i
$589$			37.9439i			1.56345i
$590$	13.3766	−	6.59246i	0.550705	−	0.271407i
$591$	16.9457			0.697054
$592$	−13.2456	+	3.74802i	−0.544389	+	0.154043i
$593$	−24.5024	+	24.5024i	−1.00619	+	1.00619i	−0.00621080	+	0.999981i	$0.501977\pi$
$593$	−24.5024	+	24.5024i	−1.00619	+	1.00619i	−0.999981	+	0.00621080i	$0.998023\pi$
$594$	1.61880	+	5.95821i	0.0664202	+	0.244468i
$595$	13.7307	−	20.3842i	0.562906	−	0.835669i
$596$	4.68222	+	7.98072i	0.191791	+	0.326903i
$597$	3.35442	−	3.35442i	0.137287	−	0.137287i
$598$	12.8651	+	11.8720i	0.526092	+	0.485484i
$599$	35.5348			1.45191			0.725955	−	0.687742i	$-0.241398\pi$
$599$	35.5348			1.45191			0.725955	+	0.687742i	$0.241398\pi$
$600$	−12.4175	+	30.2339i	−0.506940	+	1.23429i
$601$	29.2793			1.19433			0.597165	−	0.802119i	$-0.296294\pi$
$601$	29.2793			1.19433			0.597165	+	0.802119i	$0.296294\pi$
$602$	3.45093	−	6.02564i	0.140649	−	0.245587i
$603$	−3.32634	−	3.32634i	−0.135459	−	0.135459i
$604$	22.1146	+	37.6937i	0.899831	+	1.53374i
$605$	5.14323	+	3.46447i	0.209102	+	0.140851i
$606$	−61.7642	+	16.7809i	−2.50900	+	0.681676i
$607$	−29.5098	−	29.5098i	−1.19777	−	1.19777i	−0.974834	−	0.222933i	$-0.928437\pi$
$607$	−29.5098	−	29.5098i	−1.19777	−	1.19777i	−0.222933	−	0.974834i	$-0.571563\pi$
$608$	−14.7399	−	24.5318i	−0.597783	−	0.994897i
$609$	−40.0219			−1.62177
$610$	12.7982	+	25.9684i	0.518183	+	1.05143i
$611$	35.3524	+	8.09747i	1.43021	+	0.327589i
$612$	5.09163	−	19.5468i	0.205817	−	0.790133i
$613$	25.7721	−	25.7721i	1.04093	−	1.04093i	0.0417992	−	0.999126i	$-0.486691\pi$
$613$	25.7721	−	25.7721i	1.04093	−	1.04093i	0.999126	−	0.0417992i	$-0.0133090\pi$
$614$	31.5186	−	8.56336i	1.27199	−	0.345589i
$615$	−3.69737	−	18.9580i	−0.149093	−	0.764462i
$616$	14.7695	+	14.4635i	0.595080	+	0.582751i
$617$	−22.8970	−	22.8970i	−0.921800	−	0.921800i	0.0753568	−	0.997157i	$-0.475990\pi$
$617$	−22.8970	−	22.8970i	−0.921800	−	0.921800i	−0.997157	+	0.0753568i	$0.975990\pi$
$618$	17.0456	−	29.7631i	0.685674	−	1.19725i
$619$		−	24.6592i		−	0.991136i	−0.868569	−	0.495568i	$-0.834960\pi$
$619$		−	24.6592i		−	0.991136i	0.868569	−	0.495568i	$-0.165040\pi$
$620$	−2.08520	+	33.4757i	−0.0837438	+	1.34442i
$621$	−5.22576			−0.209703
$622$	−6.02327	+	10.5172i	−0.241511	+	0.421701i
$623$	1.24328	−	1.24328i	0.0498111	−	0.0498111i
$624$	−22.3472	+	24.7308i	−0.894602	+	0.990026i
$625$	−17.9400	+	17.4114i	−0.717600	+	0.696455i
$626$	−1.90166	−	6.99930i	−0.0760054	−	0.279748i
$627$	23.7144	+	23.7144i	0.947063	+	0.947063i
$628$	−9.73331	−	2.53537i	−0.388401	−	0.101172i
$629$	14.8444			0.591885
$630$	−6.06898	+	17.8640i	−0.241794	+	0.711720i
$631$	−23.6013			−0.939553			−0.469777	−	0.882785i	$-0.655666\pi$
$631$	−23.6013			−0.939553			−0.469777	+	0.882785i	$0.655666\pi$
$632$	0.494787	+	47.2685i	0.0196816	+	1.88024i
$633$	−35.7494	−	35.7494i	−1.42091	−	1.42091i
$634$	−5.68252	−	20.9153i	−0.225682	−	0.830652i
$635$	−1.31313	−	6.73301i	−0.0521101	−	0.267191i
$636$	7.72590	+	13.1686i	0.306352	+	0.522168i
$637$	1.54848	−	0.971319i	0.0613529	−	0.0384850i
$638$	−13.6997	+	23.9209i	−0.542375	+	0.947036i
$639$		−	6.57117i		−	0.259952i
$640$	−11.6560	−	22.4530i	−0.460745	−	0.887533i
$641$	36.2451			1.43160			0.715798	−	0.698307i	$-0.246063\pi$
$641$	36.2451			1.43160			0.715798	+	0.698307i	$0.246063\pi$
$642$	−47.3243	−	27.1030i	−1.86774	−	1.06967i
$643$	16.7752	+	16.7752i	0.661550	+	0.661550i	0.955745	−	0.294195i	$-0.0950516\pi$
$643$	16.7752	+	16.7752i	0.661550	+	0.661550i	−0.294195	+	0.955745i	$0.595052\pi$
$644$	−15.0910	+	8.85377i	−0.594668	+	0.348887i
$645$	5.56331	−	8.25909i	0.219055	−	0.325201i
$646$	8.09172	+	29.7827i	0.318365	+	1.17178i
$647$	13.2465	+	13.2465i	0.520773	+	0.520773i	0.917805	−	0.397032i	$-0.129960\pi$
$647$	13.2465	+	13.2465i	0.520773	+	0.520773i	−0.397032	+	0.917805i	$0.629960\pi$
$648$	−0.312099	−	29.8158i	−0.0122604	−	1.17128i
$649$		−	13.5262i		−	0.530948i
$650$	−23.2234	+	10.5202i	−0.910896	+	0.412635i
$651$			44.1679i			1.73107i
$652$	−1.76503	+	6.77598i	−0.0691241	+	0.265368i
$653$	−4.44968	−	4.44968i	−0.174129	−	0.174129i	0.614662	−	0.788791i	$-0.289293\pi$
$653$	−4.44968	−	4.44968i	−0.174129	−	0.174129i	−0.788791	+	0.614662i	$0.789293\pi$
$654$	−53.6316	+	14.5713i	−2.09716	+	0.569782i
$655$	−25.1927	+	37.4002i	−0.984361	+	1.46134i
$656$	13.0503	+	7.29369i	0.509530	+	0.284771i
$657$	−12.9683	−	12.9683i	−0.505942	−	0.505942i
$658$	−18.0146	+	31.4551i	−0.702282	+	1.22625i
$659$	−5.67561			−0.221090			−0.110545	−	0.993871i	$-0.535260\pi$
$659$	−5.67561			−0.221090			−0.110545	+	0.993871i	$0.535260\pi$
$660$	19.6186	+	22.2251i	0.763654	+	0.865109i
$661$			49.0755i			1.90882i	0.298506	+	0.954408i	$0.403512\pi$
$661$			49.0755i			1.90882i	−0.298506	+	0.954408i	$0.596488\pi$
$662$	−11.3813	−	6.51817i	−0.442348	−	0.253336i
$663$	30.4493	−	19.1000i	1.18255	−	0.741782i
$664$	−9.20481	+	9.39955i	−0.357216	+	0.364773i
$665$	−5.51810	−	28.2937i	−0.213983	−	1.09718i
$666$	−10.9967	+	2.98771i	−0.426112	+	0.115771i
$667$	−16.4979	−	16.4979i	−0.638801	−	0.638801i
$668$	41.7277	+	10.8694i	1.61449	+	0.420549i
$669$	28.6256			1.10673
$670$	6.01573	+	2.04374i	0.232408	+	0.0789564i
$671$	26.2588			1.01371
$672$	−17.1577	−	28.5558i	−0.661873	−	1.10156i
$673$	2.37388	+	2.37388i	0.0915062	+	0.0915062i	0.751378	−	0.659872i	$-0.229389\pi$
$673$	2.37388	+	2.37388i	0.0915062	+	0.0915062i	−0.659872	+	0.751378i	$0.729389\pi$
$674$	9.79984	−	2.66254i	0.377476	−	0.102557i
$675$	2.96496	−	7.00937i	0.114121	−	0.269791i
$676$	−25.9163	+	2.08413i	−0.996782	+	0.0801587i
$677$	15.4186	−	15.4186i	0.592585	−	0.592585i	−0.345744	−	0.938329i	$-0.612373\pi$
$677$	15.4186	−	15.4186i	0.592585	−	0.592585i	0.938329	+	0.345744i	$0.112373\pi$
$678$	−18.3403	−	10.5036i	−0.704356	−	0.403390i
$679$	−2.20448			−0.0846000
$680$	5.50214	+	26.7202i	0.210998	+	1.02467i
$681$		−	34.2875i		−	1.31390i
$682$	26.3989	+	15.1188i	1.01087	+	0.578930i
$683$	−25.1139	−	25.1139i	−0.960957	−	0.960957i	0.0383091	−	0.999266i	$-0.487803\pi$
$683$	−25.1139	−	25.1139i	−0.960957	−	0.960957i	−0.999266	+	0.0383091i	$0.987803\pi$
$684$	−11.9886	−	20.4342i	−0.458396	−	0.781323i
$685$	−6.12986	−	31.4305i	−0.234210	−	1.20090i
$686$	7.09277	+	26.1059i	0.270803	+	0.996727i
$687$	27.5468	−	27.5468i	1.05097	−	1.05097i
$688$	2.09860	+	7.41646i	0.0800082	+	0.282750i
$689$	−2.65897	+	11.6087i	−0.101299	+	0.442255i
$690$	−22.5065	+	11.0920i	−0.856809	+	0.422266i
$691$	−13.9179			−0.529461			−0.264730	−	0.964322i	$-0.585283\pi$
$691$	−13.9179			−0.529461			−0.264730	+	0.964322i	$0.585283\pi$
$692$	−5.66762	+	21.7580i	−0.215451	+	0.827117i
$693$	12.1003	+	12.1003i	0.459653	+	0.459653i
$694$	−1.66150	−	6.11537i	−0.0630697	−	0.232136i
$695$	−12.8972	−	8.68752i	−0.489217	−	0.329536i
$696$	31.0821	−	31.7397i	1.17816	−	1.20309i
$697$	−11.3999	−	11.3999i	−0.431800	−	0.431800i
$698$	−20.0617	−	11.4895i	−0.759345	−	0.434883i
$699$	19.5447			0.739249
$700$	−3.31341	−	25.2651i	−0.125235	−	0.954930i
$701$	16.3609			0.617941			0.308971	−	0.951072i	$-0.400016\pi$
$701$	16.3609			0.617941			0.308971	+	0.951072i	$0.400016\pi$
$702$	5.26357	−	5.70385i	0.198661	−	0.215278i
$703$	12.3114	−	12.3114i	0.464334	−	0.464334i
$704$	−22.9408	+	0.480321i	−0.864613	+	0.0181028i
$705$	−29.0417	+	43.1142i	−1.09377	+	1.62378i
$706$	27.6840	−	7.52152i	1.04190	−	0.283076i
$707$	35.2833	−	35.2833i	1.32696	−	1.32696i
$708$	−5.49469	+	21.0942i	−0.206503	+	0.792768i
$709$	−43.9222			−1.64953			−0.824766	−	0.565474i	$-0.808693\pi$
$709$	−43.9222			−1.64953			−0.824766	+	0.565474i	$0.808693\pi$
$710$	3.92333	+	7.96072i	0.147240	+	0.298760i
$711$			39.1314i			1.46754i
$712$	0.0204281	+	1.95156i	0.000765576	+	0.0731379i
$713$	−18.2070	+	18.2070i	−0.681856	+	0.681856i
$714$	9.41900	+	34.6679i	0.352497	+	1.29741i
$715$	−0.752671	+	23.1121i	−0.0281483	+	0.864345i
$716$	4.28190	+	7.29837i	0.160022	+	0.272753i
$717$	−4.15396	−	4.15396i	−0.155133	−	0.155133i
$718$	−16.3771	+	28.5958i	−0.611186	+	1.06719i
$719$	31.4906			1.17440			0.587200	−	0.809442i	$-0.300230\pi$
$719$	31.4906			1.17440			0.587200	+	0.809442i	$0.300230\pi$
$720$	−9.45388	−	18.6867i	−0.352325	−	0.696414i
$721$			26.7398i			0.995842i
$722$	8.09479	+	4.63595i	0.301257	+	0.172532i
$723$	−1.42717	−	1.42717i	−0.0530770	−	0.0530770i
$724$	4.95314	+	8.44248i	0.184082	+	0.313762i
$725$	31.4893	−	12.7683i	1.16948	−	0.474203i
$726$	−8.74723	+	2.37655i	−0.324640	+	0.0882022i
$727$	8.98640	+	8.98640i	0.333287	+	0.333287i	0.853833	−	0.520546i	$-0.174272\pi$
$727$	8.98640	+	8.98640i	0.333287	+	0.333287i	−0.520546	+	0.853833i	$0.674272\pi$
$728$	5.53641	−	25.3894i	0.205193	−	0.940995i
$729$		−	14.1295i		−	0.523315i
$730$	23.4534	+	7.96786i	0.868048	+	0.294904i
$731$		−	8.31169i		−	0.307419i
$732$	−40.9509	−	10.6671i	−1.51359	−	0.394266i
$733$	−4.04919	+	4.04919i	−0.149560	+	0.149560i	−0.777922	−	0.628361i	$-0.783726\pi$
$733$	−4.04919	+	4.04919i	−0.149560	+	0.149560i	0.628361	+	0.777922i	$0.283726\pi$
$734$	−13.5670	−	49.9352i	−0.500767	−	1.84314i
$735$	0.501520	+	2.57151i	0.0184989	+	0.0948516i
$736$	4.69852	−	18.8441i	0.173190	−	0.694603i
$737$	4.07479	−	4.07479i	0.150097	−	0.150097i
$738$	10.7394	+	6.15052i	0.395322	+	0.226404i
$739$			8.88137i			0.326707i	0.986568	+	0.163353i	$0.0522310\pi$
$739$			8.88137i			0.326707i	−0.986568	+	0.163353i	$0.947769\pi$
$740$	11.5382	−	10.1851i	0.424153	−	0.374410i
$741$	9.41267	−	41.0944i	0.345783	−	1.50964i
$742$	−10.3289	−	5.91546i	−0.379187	−	0.217163i
$743$	10.7934	+	10.7934i	0.395972	+	0.395972i	0.876810	−	0.480837i	$-0.159667\pi$
$743$	10.7934	+	10.7934i	0.395972	+	0.395972i	−0.480837	+	0.876810i	$0.659667\pi$
$744$	−35.0277	−	34.3020i	−1.28418	−	1.25757i
$745$	−8.58000	−	5.77948i	−0.314347	−	0.211744i
$746$	−3.70578	−	13.6396i	−0.135678	−	0.499382i
$747$	−7.70084	+	7.70084i	−0.281759	+	0.281759i
$748$	23.9450	+	6.23728i	0.875516	+	0.228058i
$749$	42.5171			1.55354
$750$	−2.10823	−	36.4816i	−0.0769818	−	1.33212i
$751$		−	14.6670i		−	0.535208i	−0.963529	−	0.267604i	$-0.913768\pi$
$751$		−	14.6670i		−	0.535208i	0.963529	−	0.267604i	$-0.0862319\pi$
$752$	−10.9551	−	38.7155i	−0.399492	−	1.41181i
$753$	−22.8908	−	22.8908i	−0.834186	−	0.834186i
$754$	34.6245	−	1.38996i	1.26095	−	0.0506195i
$755$	−40.5242	−	27.2971i	−1.47483	−	0.993442i
$756$	3.92539	+	6.69072i	0.142765	+	0.243339i
$757$	13.5345	−	13.5345i	0.491920	−	0.491920i	−0.416991	−	0.908911i	$-0.636915\pi$
$757$	13.5345	−	13.5345i	0.491920	−	0.491920i	0.908911	+	0.416991i	$0.136915\pi$
$758$	7.24861	−	12.6567i	0.263281	−	0.459713i
$759$			22.7582i			0.826071i
$760$	26.7240	+	17.5975i	0.969383	+	0.638327i
$761$		−	26.1550i		−	0.948120i	−0.880493	−	0.474060i	$-0.842788\pi$
$761$		−	26.1550i		−	0.948120i	0.880493	−	0.474060i	$-0.157212\pi$
$762$	8.70111	+	4.98319i	0.315208	+	0.180522i
$763$	30.6374	−	30.6374i	1.10915	−	1.10915i
$764$	16.6625	−	9.77576i	0.602828	−	0.353675i
$765$	4.32295	+	22.1656i	0.156297	+	0.801400i
$766$	3.03632	+	11.1756i	0.109707	+	0.403790i
$767$	−14.4040	+	9.03525i	−0.520099	+	0.326244i
$768$	35.9715	+	8.57011i	1.29801	+	0.309247i
$769$	−1.57519			−0.0568028			−0.0284014	−	0.999597i	$-0.509042\pi$
$769$	−1.57519			−0.0568028			−0.0284014	+	0.999597i	$0.509042\pi$
$770$	−21.8836	−	7.43455i	−0.788629	−	0.267923i
$771$		−	26.6131i		−	0.958449i
$772$	22.8200	+	5.94423i	0.821308	+	0.213938i
$773$	7.11384	−	7.11384i	0.255867	−	0.255867i	−0.567504	−	0.823371i	$-0.692091\pi$
$773$	7.11384	−	7.11384i	0.255867	−	0.255867i	0.823371	+	0.567504i	$0.192091\pi$
$774$	1.67288	+	6.15725i	0.0601304	+	0.221318i
$775$	−14.0910	−	34.7513i	−0.506165	−	1.24830i
$776$	1.71206	−	1.74828i	0.0614592	−	0.0627595i
$777$	14.3309	−	14.3309i	0.514116	−	0.514116i
$778$	7.38447	−	12.8940i	0.264746	−	0.462271i
$779$	−18.9093			−0.677495
$780$	10.5626	−	35.7379i	0.378201	−	1.27962i
$781$	8.04974			0.288042
$782$	−10.4082	+	18.1736i	−0.372195	+	0.649887i
$783$	−7.31449	+	7.31449i	−0.261398	+	0.261398i
$784$	−1.77018	−	0.989333i	−0.0632206	−	0.0353333i
$785$	11.0374	−	2.15261i	0.393940	−	0.0768298i
$786$	−17.2817	−	63.6075i	−0.616417	−	2.26880i
$787$	25.1611	−	25.1611i	0.896896	−	0.896896i	−0.0982642	−	0.995160i	$-0.531329\pi$
$787$	25.1611	−	25.1611i	0.896896	−	0.896896i	0.995160	+	0.0982642i	$0.0313290\pi$
$788$	3.69648	−	14.1908i	0.131682	−	0.505527i
$789$		−	25.2766i		−	0.899872i
$790$	−23.3635	−	47.4062i	−0.831235	−	1.68664i
$791$	16.4773			0.585866
$792$	−18.9937	+	0.198818i	−0.674911	+	0.00706469i
$793$	−17.5405	−	27.9630i	−0.622880	−	0.992997i
$794$	9.45172	+	34.7883i	0.335429	+	1.23459i
$795$	−14.1574	−	9.53643i	−0.502112	−	0.338222i
$796$	−2.07736	−	3.54080i	−0.0736301	−	0.125500i
$797$	−2.18831	+	2.18831i	−0.0775139	+	0.0775139i	−0.744801	−	0.667287i	$-0.767455\pi$
$797$	−2.18831	+	2.18831i	−0.0775139	+	0.0775139i	0.667287	+	0.744801i	$0.267455\pi$
$798$	36.5641	+	20.9405i	1.29436	+	0.741287i
$799$			43.3888i			1.53499i
$800$	22.6100	+	16.9938i	0.799383	+	0.600822i
$801$			1.61561i			0.0570847i
$802$	−20.3180	+	35.4771i	−0.717454	+	1.25274i
$803$	15.8863	−	15.8863i	0.560615	−	0.560615i
$804$	−8.00998	+	4.69939i	−0.282490	+	0.165735i
$805$	10.9286	−	16.2242i	0.385183	−	0.571828i
$806$	−1.53395	−	38.2113i	−0.0540312	−	1.34594i
$807$	0.111374	+	0.111374i	0.00392055	+	0.00392055i
$808$	0.579732	+	55.3836i	0.0203949	+	1.94839i
$809$		−	39.5081i		−	1.38903i	−0.719478	−	0.694515i	$-0.755619\pi$
$809$		−	39.5081i		−	1.38903i	0.719478	−	0.694515i	$-0.244381\pi$
$810$	14.7371	+	29.9026i	0.517809	+	1.05067i
$811$	34.9250			1.22638			0.613192	−	0.789934i	$-0.289885\pi$
$811$	34.9250			1.22638			0.613192	+	0.789934i	$0.289885\pi$
$812$	−8.73022	+	33.5154i	−0.306371	+	1.17616i
$813$	−8.00641	+	8.00641i	−0.280797	+	0.280797i
$814$	−3.65996	−	13.4710i	−0.128282	−	0.472158i
$815$	−1.49857	−	7.68380i	−0.0524925	−	0.269152i
$816$	−34.8087	−	19.4542i	−1.21855	−	0.681034i
$817$	−6.89342	−	6.89342i	−0.241170	−	0.241170i
$818$	−41.5100	−	23.7731i	−1.45136	−	0.831207i
$819$	4.80283	−	20.9685i	0.167824	−	0.732697i
$820$	−16.6825	−	1.03916i	−0.582579	−	0.0362889i
$821$			23.0858i			0.805700i	0.915266	+	0.402850i	$0.131980\pi$
$821$			23.0858i			0.805700i	−0.915266	+	0.402850i	$0.868020\pi$
$822$	40.6178	+	23.2621i	1.41671	+	0.811359i
$823$	−33.1841	+	33.1841i	−1.15672	+	1.15672i	−0.171549	+	0.985176i	$0.554877\pi$
$823$	−33.1841	+	33.1841i	−1.15672	+	1.15672i	−0.985176	+	0.171549i	$0.945123\pi$
$824$	−21.2062	−	20.7669i	−0.738753	−	0.723448i
$825$	−30.5258	−	12.9124i	−1.06277	−	0.449552i
$826$	−4.45566	−	16.3996i	−0.155032	−	0.570617i
$827$	−16.0146	+	16.0146i	−0.556882	+	0.556882i	−0.928418	−	0.371536i	$-0.878831\pi$
$827$	−16.0146	+	16.0146i	−0.556882	+	0.556882i	0.371536	+	0.928418i	$0.378831\pi$
$828$	4.05254	−	15.5577i	0.140835	−	0.540669i
$829$		−	14.1917i		−	0.492899i	−0.969156	−	0.246450i	$-0.920736\pi$
$829$		−	14.1917i		−	0.492899i	0.969156	−	0.246450i	$-0.0792640\pi$
$830$	4.73147	−	13.9271i	0.164232	−	0.483416i
$831$			40.8667i			1.41765i
$832$	15.8356	+	24.1088i	0.548999	+	0.835823i
$833$	1.54630	+	1.54630i	0.0535762	+	0.0535762i
$834$	21.9346	−	5.95945i	0.759532	−	0.206359i
$835$	−47.3182	+	9.22844i	−1.63751	+	0.319363i
$836$	25.0321	−	14.6861i	0.865753	−	0.507931i
$837$	8.07221	+	8.07221i	0.279017	+	0.279017i
$838$	−36.5815	−	20.9505i	−1.26369	−	0.723723i
$839$			6.84013i			0.236148i	0.993005	+	0.118074i	$0.0376719\pi$
$839$			6.84013i			0.236148i	−0.993005	+	0.118074i	$0.962328\pi$
$840$	31.1076	+	20.4840i	1.07331	+	0.706764i
$841$	−17.1841			−0.592556
$842$	−15.6503	+	27.3268i	−0.539343	+	0.941743i
$843$	−35.9972	−	35.9972i	−1.23981	−	1.23981i
$844$	−37.7357	+	22.1393i	−1.29892	+	0.762065i
$845$	25.1149	−	14.6370i	0.863979	−	0.503528i
$846$	−8.73278	−	32.1422i	−0.300239	−	1.10507i
$847$	4.99692	−	4.99692i	0.171696	−	0.171696i
$848$	12.7130	−	3.59734i	0.436567	−	0.123533i
$849$		−	16.4628i		−	0.565001i
$850$	−18.4711	−	24.2718i	−0.633554	−	0.832515i
$851$	11.8150			0.405012
$852$	−12.5536	−	3.27002i	−0.430081	−	0.112029i
$853$	−19.5411	+	19.5411i	−0.669074	+	0.669074i	−0.957502	−	0.288427i	$-0.906868\pi$
$853$	−19.5411	+	19.5411i	−0.669074	+	0.669074i	0.288427	+	0.957502i	$0.406868\pi$
$854$	31.8372	−	8.64993i	1.08945	−	0.295995i
$855$	21.9687	+	14.7981i	0.751313	+	0.506084i
$856$	−33.0199	+	33.7185i	−1.12860	+	1.15248i
$857$	−38.2146	+	38.2146i	−1.30539	+	1.30539i	−0.380680	+	0.924707i	$0.624310\pi$
$857$	−38.2146	+	38.2146i	−1.30539	+	1.30539i	−0.924707	+	0.380680i	$0.875690\pi$
$858$	−24.8403	−	22.9229i	−0.848033	−	0.782574i
$859$	−5.27198			−0.179878			−0.0899389	−	0.995947i	$-0.528667\pi$
$859$	−5.27198			−0.179878			−0.0899389	+	0.995947i	$0.528667\pi$
$860$	−5.70283	−	6.46048i	−0.194465	−	0.220301i
$861$	−22.0109			−0.750131
$862$	20.4613	+	11.7184i	0.696916	+	0.399129i
$863$	12.6771	+	12.6771i	0.431535	+	0.431535i	0.889150	−	0.457615i	$-0.151296\pi$
$863$	12.6771	+	12.6771i	0.431535	+	0.431535i	−0.457615	+	0.889150i	$0.651296\pi$
$864$	−8.35470	−	2.08313i	−0.284233	−	0.0708695i
$865$	−4.81198	−	24.6731i	−0.163612	−	0.838911i
$866$	7.50185	+	27.6116i	0.254923	+	0.938279i
$867$	2.62460	+	2.62460i	0.0891360	+	0.0891360i
$868$	36.9874	+	9.63461i	1.25543	+	0.327020i
$869$	−47.9363			−1.62613
$870$	−15.9769	+	47.0278i	−0.541666	+	1.59439i
$871$	−7.06115	−	1.61736i	−0.239258	−	0.0548020i
$872$	0.503397	+	48.0911i	0.0170472	+	1.62857i
$873$	1.43232	−	1.43232i	0.0484768	−	0.0484768i
$874$	6.44038	+	23.7047i	0.217849	+	0.801823i
$875$	15.5611	+	23.8638i	0.526060	+	0.806744i
$876$	−31.2283	+	18.3214i	−1.05511	+	0.619023i
$877$	−5.49214	−	5.49214i	−0.185456	−	0.185456i	0.608272	−	0.793729i	$-0.291863\pi$
$877$	−5.49214	−	5.49214i	−0.185456	−	0.185456i	−0.793729	+	0.608272i	$0.791863\pi$
$878$	1.56427	+	0.895867i	0.0527914	+	0.0302340i
$879$			14.0224i			0.472965i
$880$	22.8914	−	11.5811i	0.771669	−	0.390398i
$881$	12.2190			0.411670			0.205835	−	0.978587i	$-0.434009\pi$
$881$	12.2190			0.411670			0.205835	+	0.978587i	$0.434009\pi$
$882$	−1.45671	−	0.834271i	−0.0490501	−	0.0280914i
$883$	−6.54013	+	6.54013i	−0.220093	+	0.220093i	−0.808537	−	0.588445i	$-0.799740\pi$
$883$	−6.54013	+	6.54013i	−0.220093	+	0.220093i	0.588445	+	0.808537i	$0.299740\pi$
$884$	−9.35277	−	29.6654i	−0.314568	−	0.997757i
$885$	−4.66516	−	23.9203i	−0.156818	−	0.804072i
$886$	−8.97818	+	2.43930i	−0.301628	+	0.0819499i
$887$	−13.9943	−	13.9943i	−0.469883	−	0.469883i	0.431993	−	0.901877i	$-0.357810\pi$
$887$	−13.9943	−	13.9943i	−0.469883	−	0.469883i	−0.901877	+	0.431993i	$0.857810\pi$
$888$	0.235467	+	22.4949i	0.00790177	+	0.754880i
$889$	−7.81725			−0.262182
$890$	−0.964601	−	1.95725i	−0.0323335	−	0.0656070i
$891$	30.2370			1.01298
$892$	6.24429	−	23.9719i	0.209074	−	0.802638i
$893$	35.9851	+	35.9851i	1.20420	+	1.20420i
$894$	14.5923	−	3.96460i	0.488038	−	0.132596i
$895$	−7.84642	−	5.28534i	−0.262277	−	0.176669i
$896$	−27.6561	+	8.13930i	−0.923925	+	0.271915i
$897$	24.2352	−	15.2021i	0.809191	−	0.507584i
$898$	6.10748	+	3.49780i	0.203809	+	0.116723i
$899$			50.9685i			1.69989i
$900$	18.5684	+	14.2628i	0.618948	+	0.475425i
$901$	−14.2476			−0.474656
$902$	−7.53444	+	13.1558i	−0.250869	+	0.438041i
$903$	−8.02414	−	8.02414i	−0.267027	−	0.267027i
$904$	−12.7967	+	13.0675i	−0.425613	+	0.434617i
$905$	−9.07644	−	6.11388i	−0.301711	−	0.203232i
$906$	68.9207	−	18.7252i	2.28974	−	0.622103i
$907$	−14.0823	−	14.0823i	−0.467594	−	0.467594i	0.433540	−	0.901134i	$-0.357264\pi$
$907$	−14.0823	−	14.0823i	−0.467594	−	0.467594i	−0.901134	+	0.433540i	$0.857264\pi$
$908$	−28.7133	−	7.47935i	−0.952884	−	0.248211i
$909$			45.8495i			1.52073i
$910$	6.70081	+	28.2700i	0.222130	+	0.937141i
$911$		−	14.8128i		−	0.490771i	−0.969426	−	0.245386i	$-0.921085\pi$
$911$		−	14.8128i		−	0.490771i	0.969426	−	0.245386i	$-0.0789145\pi$
$912$	−45.0037	+	12.7345i	−1.49022	+	0.421680i
$913$	−9.43359	−	9.43359i	−0.312206	−	0.312206i
$914$	−4.75659	−	17.5073i	−0.157334	−	0.579089i
$915$	46.4374	−	9.05665i	1.53517	−	0.299404i
$916$	−17.0595	−	29.0774i	−0.563661	−	0.960743i
$917$	36.3362	+	36.3362i	1.19993	+	1.19993i
$918$	8.05742	+	4.61455i	0.265935	+	0.152303i
$919$	51.3334			1.69333			0.846666	−	0.532125i	$-0.178606\pi$
$919$	51.3334			1.69333			0.846666	+	0.532125i	$0.178606\pi$
$920$	4.37928	+	21.2672i	0.144380	+	0.701158i
$921$		−	53.3758i		−	1.75879i
$922$	20.4362	−	35.6835i	0.673030	−	1.17517i
$923$	−5.37709	−	8.57217i	−0.176989	−	0.282156i
$924$	29.1381	−	17.0951i	0.958573	−	0.562387i
$925$	−6.70351	+	15.8476i	−0.220410	+	0.521064i
$926$	−8.76961	−	32.2777i	−0.288187	−	1.06071i
$927$	−17.3738	−	17.3738i	−0.570630	−	0.570630i
$928$	−19.7995	−	32.9525i	−0.649951	−	1.08172i
$929$	22.5337			0.739306			0.369653	−	0.929170i	$-0.379477\pi$
$929$	22.5337			0.739306			0.369653	+	0.929170i	$0.379477\pi$
$930$	51.8996	+	17.6319i	1.70185	+	0.578174i
$931$	2.56489			0.0840610
$932$	4.26341	−	16.3673i	0.139653	−	0.536128i
$933$	14.0054	+	14.0054i	0.458516	+	0.458516i
$934$	12.0856	+	44.4827i	0.395453	+	1.45552i
$935$	−27.1531	+	5.29564i	−0.888000	+	0.173186i
$936$	12.8992	+	20.0936i	0.421623	+	0.656780i
$937$	20.8504	−	20.8504i	0.681152	−	0.681152i	−0.279107	−	0.960260i	$-0.590039\pi$
$937$	20.8504	−	20.8504i	0.681152	−	0.681152i	0.960260	+	0.279107i	$0.0900386\pi$
$938$	3.59816	−	6.28272i	0.117484	−	0.205138i
$939$	−11.8531			−0.386811
$940$	29.7700	+	33.7251i	0.970989	+	1.09999i
$941$		−	44.5535i		−	1.45240i	−0.687483	−	0.726201i	$-0.741284\pi$
$941$		−	44.5535i		−	1.45240i	0.687483	−	0.726201i	$-0.258716\pi$
$942$	−8.16890	+	14.2636i	−0.266157	+	0.464735i
$943$	−9.07339	−	9.07339i	−0.295470	−	0.295470i
$944$	16.4662	+	9.20281i	0.535931	+	0.299526i
$945$	−7.19314	−	4.84529i	−0.233993	−	0.157617i
$946$	−7.54268	+	2.04929i	−0.245234	+	0.0666281i
$947$	−31.1529	+	31.1529i	−1.01233	+	1.01233i	−0.0124091	+	0.999923i	$0.503950\pi$
$947$	−31.1529	+	31.1529i	−1.01233	+	1.01233i	−0.999923	+	0.0124091i	$0.996050\pi$
$948$	74.7571	+	19.4730i	2.42800	+	0.632455i
$949$	−27.5291	−	6.30555i	−0.893633	−	0.204687i
$950$	−35.4494	−	4.81087i	−1.15013	−	0.156085i
$951$	−35.4194			−1.14855
$952$	31.0865	−	0.325400i	1.00752	−	0.0105463i
$953$	13.3690	+	13.3690i	0.433064	+	0.433064i	0.889669	−	0.456606i	$-0.150935\pi$
$953$	13.3690	+	13.3690i	0.433064	+	0.433064i	−0.456606	+	0.889669i	$0.650935\pi$
$954$	10.5545	−	2.86759i	0.341716	−	0.0928415i
$955$	−12.0667	+	17.9137i	−0.390468	+	0.579674i
$956$	−4.38477	+	2.57251i	−0.141814	+	0.0832010i
$957$	31.8546	+	31.8546i	1.02971	+	1.02971i
$958$	−12.3970	+	21.6463i	−0.400529	+	0.699361i
$959$	−36.4918			−1.17838
$960$	−40.4040	+	8.76169i	−1.30403	+	0.282782i
$961$	25.2484			0.814466
$962$	−11.9005	+	12.8959i	−0.383687	+	0.415780i
$963$	−27.6248	+	27.6248i	−0.890197	+	0.890197i
$964$	−1.50647	+	0.883833i	−0.0485201	+	0.0284663i
$965$	−25.8773	+	5.04683i	−0.833020	+	0.162463i
$966$	7.49679	+	27.5930i	0.241205	+	0.887789i
$967$	29.7376	−	29.7376i	0.956297	−	0.956297i	−0.0427873	−	0.999084i	$-0.513624\pi$
$967$	29.7376	−	29.7376i	0.956297	−	0.956297i	0.999084	+	0.0427873i	$0.0136238\pi$
$968$	0.0821033	+	7.84358i	0.00263890	+	0.252102i
$969$	50.4361			1.62024
$970$	−0.880034	+	2.59038i	−0.0282562	+	0.0831720i
$971$			11.7734i			0.377827i	0.981994	+	0.188913i	$0.0604966\pi$
$971$			11.7734i			0.377827i	−0.981994	+	0.188913i	$0.939503\pi$
$972$	−38.3170	−	9.98097i	−1.22902	−	0.320140i
$973$	−12.5303	+	12.5303i	−0.401702	+	0.401702i
$974$	−31.6621	+	8.60236i	−1.01452	+	0.275637i
$975$	6.64030	+	41.1322i	0.212660	+	1.31729i
$976$	−17.8658	+	31.9665i	−0.571869	+	1.02322i
$977$	−3.24264	−	3.24264i	−0.103741	−	0.103741i	0.653331	−	0.757072i	$-0.273371\pi$
$977$	−3.24264	−	3.24264i	−0.103741	−	0.103741i	−0.757072	+	0.653331i	$0.773371\pi$
$978$	9.92983	+	5.68689i	0.317521	+	0.181847i
$979$	−1.97913			−0.0632533
$980$	2.26285	+	0.140953i	0.0722842	+	0.00450259i
$981$			39.8124i			1.27111i
$982$	12.9905	−	22.6825i	0.414542	−	0.723829i
$983$	−0.446909	−	0.446909i	−0.0142542	−	0.0142542i	0.699944	−	0.714198i	$-0.253208\pi$
$983$	−0.446909	−	0.446909i	−0.0142542	−	0.0142542i	−0.714198	+	0.699944i	$0.753208\pi$
$984$	17.0943	−	17.4559i	0.544946	−	0.556475i
$985$	3.13842	+	16.0921i	0.0999985	+	0.512736i
$986$	10.8693	+	40.0058i	0.346148	+	1.27404i
$987$	41.8877	+	41.8877i	1.33330	+	1.33330i
$988$	−32.3603	−	16.8466i	−1.02952	−	0.535962i
$989$		−	6.61546i		−	0.210359i
$990$	19.0490	−	9.38803i	0.605417	−	0.298371i
$991$		−	50.2660i		−	1.59675i	−0.602159	−	0.798376i	$-0.705693\pi$
$991$		−	50.2660i		−	1.59675i	0.602159	−	0.798376i	$-0.294307\pi$
$992$	−36.3662	+	21.8506i	−1.15463	+	0.693758i
$993$	−15.1561	+	15.1561i	−0.480965	+	0.480965i
$994$	9.75982	−	2.65167i	0.309563	−	0.0841058i
$995$	3.80669	+	2.56418i	0.120680	+	0.0812900i
$996$	10.8796	+	18.5440i	0.344733	+	0.587588i
$997$	−25.4034	+	25.4034i	−0.804532	+	0.804532i	−0.983800	−	0.179268i	$-0.942627\pi$
$997$	−25.4034	+	25.4034i	−0.804532	+	0.804532i	0.179268	+	0.983800i	$0.442627\pi$
$998$	−9.24433	+	16.1415i	−0.292624	+	0.510949i
$999$		−	5.23828i		−	0.165732i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	260.2.p.d.103.7	✓	64
4.3	odd	2	inner	260.2.p.d.103.10	yes	64
5.2	odd	4	inner	260.2.p.d.207.23	yes	64
13.12	even	2	inner	260.2.p.d.103.26	yes	64
20.7	even	4	inner	260.2.p.d.207.26	yes	64
52.51	odd	2	inner	260.2.p.d.103.23	yes	64
65.12	odd	4	inner	260.2.p.d.207.10	yes	64
260.207	even	4	inner	260.2.p.d.207.7	yes	64

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
260.2.p.d.103.7	✓	64	1.1	even	1	trivial
260.2.p.d.103.10	yes	64	4.3	odd	2	inner
260.2.p.d.103.23	yes	64	52.51	odd	2	inner
260.2.p.d.103.26	yes	64	13.12	even	2	inner
260.2.p.d.207.7	yes	64	260.207	even	4	inner
260.2.p.d.207.10	yes	64	65.12	odd	4	inner
260.2.p.d.207.23	yes	64	5.2	odd	4	inner
260.2.p.d.207.26	yes	64	20.7	even	4	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:	\( N \)	\(=\)	\( 260 = 2^{2} \cdot 5 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	260.p (of order \(4\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.22720 - 0.702829i) q^{2} +(-1.63423 + 1.63423i) q^{3} +(1.01206 + 1.72503i) q^{4} +(-1.85457 - 1.24923i) q^{5} +(3.15411 - 0.856948i) q^{6} +(-1.80181 + 1.80181i) q^{7} +(-0.0296052 - 2.82827i) q^{8} -2.34139i q^{9} +O(q^{10})\)	\(q+(-1.22720 - 0.702829i) q^{2} +(-1.63423 + 1.63423i) q^{3} +(1.01206 + 1.72503i) q^{4} +(-1.85457 - 1.24923i) q^{5} +(3.15411 - 0.856948i) q^{6} +(-1.80181 + 1.80181i) q^{7} +(-0.0296052 - 2.82827i) q^{8} -2.34139i q^{9} +(1.39793 + 2.83651i) q^{10} +2.86823 q^{11} +(-4.47303 - 1.16515i) q^{12} +(-1.91593 - 3.05438i) q^{13} +(3.47755 - 0.944824i) q^{14} +(5.07231 - 0.989250i) q^{15} +(-1.95146 + 3.49168i) q^{16} +(3.05008 - 3.05008i) q^{17} +(-1.64560 + 2.87337i) q^{18} -5.05926i q^{19} +(0.278031 - 4.46349i) q^{20} -5.88913i q^{21} +(-3.51990 - 2.01587i) q^{22} +(2.42763 - 2.42763i) q^{23} +(4.67042 + 4.57366i) q^{24} +(1.87883 + 4.63357i) q^{25} +(0.204530 + 5.09492i) q^{26} +(-1.07631 - 1.07631i) q^{27} +(-4.93172 - 1.28463i) q^{28} -6.79589i q^{29} +(-6.92004 - 2.35096i) q^{30} -7.49990 q^{31} +(4.84889 - 2.91346i) q^{32} +(-4.68733 + 4.68733i) q^{33} +(-5.88676 + 1.59939i) q^{34} +(5.59245 - 1.09069i) q^{35} +(4.03898 - 2.36964i) q^{36} +(2.43344 + 2.43344i) q^{37} +(-3.55580 + 6.20875i) q^{38} +(8.12261 + 1.86048i) q^{39} +(-3.47827 + 5.28220i) q^{40} -3.73755i q^{41} +(-4.13905 + 7.22717i) q^{42} +(1.36253 - 1.36253i) q^{43} +(2.90282 + 4.94778i) q^{44} +(-2.92495 + 4.34227i) q^{45} +(-4.68541 + 1.27299i) q^{46} +(-7.11272 + 7.11272i) q^{47} +(-2.51706 - 8.89532i) q^{48} +0.506970i q^{49} +(0.950903 - 7.00684i) q^{50} +9.96906i q^{51} +(3.32986 - 6.39625i) q^{52} +(-2.33561 - 2.33561i) q^{53} +(0.564390 + 2.07732i) q^{54} +(-5.31931 - 3.58309i) q^{55} +(5.14935 + 5.04266i) q^{56} +(8.26798 + 8.26798i) q^{57} +(-4.77635 + 8.33995i) q^{58} -4.71586i q^{59} +(6.83998 + 7.74871i) q^{60} +9.15507 q^{61} +(9.20391 + 5.27115i) q^{62} +(4.21875 + 4.21875i) q^{63} +(-7.99825 + 0.167463i) q^{64} +(-0.262417 + 8.05799i) q^{65} +(9.04671 - 2.45792i) q^{66} +(1.42067 - 1.42067i) q^{67} +(8.34836 + 2.17461i) q^{68} +7.93459i q^{69} +(-7.62966 - 2.59204i) q^{70} +2.80652 q^{71} +(-6.62210 + 0.0693174i) q^{72} +(5.53872 - 5.53872i) q^{73} +(-1.27604 - 4.69662i) q^{74} +(-10.6427 - 4.50188i) q^{75} +(8.72738 - 5.12029i) q^{76} +(-5.16800 + 5.16800i) q^{77} +(-8.66050 - 7.99200i) q^{78} -16.7129 q^{79} +(7.98103 - 4.03771i) q^{80} +10.5421 q^{81} +(-2.62686 + 4.58674i) q^{82} +(-3.28900 - 3.28900i) q^{83} +(10.1589 - 5.96016i) q^{84} +(-9.46685 + 1.84631i) q^{85} +(-2.62974 + 0.714479i) q^{86} +(11.1060 + 11.1060i) q^{87} +(-0.0849143 - 8.11213i) q^{88} -0.690019 q^{89} +(6.64139 - 3.27311i) q^{90} +(8.95554 + 2.05127i) q^{91} +(6.64464 + 1.73082i) q^{92} +(12.2565 - 12.2565i) q^{93} +(13.7278 - 3.72974i) q^{94} +(-6.32020 + 9.38273i) q^{95} +(-3.16294 + 12.6854i) q^{96} +(0.611740 + 0.611740i) q^{97} +(0.356314 - 0.622156i) q^{98} -6.71565i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 64 q+O(q^{10}) \) 64 * q	\( 64 q - 24 q^{12} - 4 q^{16} - 40 q^{17} - 36 q^{22} + 44 q^{26} + 24 q^{30} + 28 q^{36} + 16 q^{38} - 44 q^{40} + 8 q^{42} - 44 q^{48} + 56 q^{52} - 48 q^{53} - 64 q^{56} + 80 q^{61} + 20 q^{62} - 72 q^{65} - 24 q^{66} - 76 q^{68} - 112 q^{77} - 20 q^{78} + 80 q^{81} + 52 q^{82} - 152 q^{88} - 64 q^{90} + 56 q^{92}+O(q^{100}) \) 64 * q - 24 * q^12 - 4 * q^16 - 40 * q^17 - 36 * q^22 + 44 * q^26 + 24 * q^30 + 28 * q^36 + 16 * q^38 - 44 * q^40 + 8 * q^42 - 44 * q^48 + 56 * q^52 - 48 * q^53 - 64 * q^56 + 80 * q^61 + 20 * q^62 - 72 * q^65 - 24 * q^66 - 76 * q^68 - 112 * q^77 - 20 * q^78 + 80 * q^81 + 52 * q^82 - 152 * q^88 - 64 * q^90 + 56 * q^92

Introduction

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