LMFDB - Embedded newform 950.2.n.b.39.11

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [950,2,Mod(39,950)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(950, base_ring=CyclotomicField(10))

chi = DirichletCharacter(H, H._module([3, 0]))

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

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

chi := DirichletCharacter("950.39");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 950 = 2 \cdot 5^{2} \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	950.n (of order $10$, 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:	$7.58578819202$
Analytic rank:	$0$
Dimension:	$96$
Relative dimension:	$24$ over $\Q(\zeta_{10})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label			39.11
Character	$\chi$	$=$	950.39
Dual form			950.2.n.b.609.11

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.587785 - 0.809017i) q^{2} +(1.83314 + 0.595623i) q^{3} +(-0.309017 + 0.951057i) q^{4} +(2.21079 - 0.335262i) q^{5} +(-0.595623 - 1.83314i) q^{6} +3.44879i q^{7} +(0.951057 - 0.309017i) q^{8} +(0.578586 + 0.420367i) q^{9} +O(q^{10})$	\(q+(-0.587785 - 0.809017i) q^{2} +(1.83314 + 0.595623i) q^{3} +(-0.309017 + 0.951057i) q^{4} +(2.21079 - 0.335262i) q^{5} +(-0.595623 - 1.83314i) q^{6} +3.44879i q^{7} +(0.951057 - 0.309017i) q^{8} +(0.578586 + 0.420367i) q^{9} +(-1.57070 - 1.59151i) q^{10} +(-4.96470 + 3.60707i) q^{11} +(-1.13294 + 1.55936i) q^{12} +(-0.190144 + 0.261711i) q^{13} +(2.79013 - 2.02715i) q^{14} +(4.25238 + 0.702217i) q^{15} +(-0.809017 - 0.587785i) q^{16} +(3.85588 - 1.25285i) q^{17} -0.715171i q^{18} +(-0.309017 - 0.951057i) q^{19} +(-0.364319 + 2.20619i) q^{20} +(-2.05418 + 6.32211i) q^{21} +(5.83636 + 1.89635i) q^{22} +(5.13811 + 7.07200i) q^{23} +1.92748 q^{24} +(4.77520 - 1.48239i) q^{25} +0.323493 q^{26} +(-2.58858 - 3.56288i) q^{27} +(-3.27999 - 1.06573i) q^{28} +(-0.590797 + 1.81829i) q^{29} +(-1.93138 - 3.85300i) q^{30} +(2.59859 + 7.99763i) q^{31} +1.00000i q^{32} +(-11.2494 + 3.65517i) q^{33} +(-3.28001 - 2.38306i) q^{34} +(1.15625 + 7.62455i) q^{35} +(-0.578586 + 0.420367i) q^{36} +(1.94243 - 2.67352i) q^{37} +(-0.587785 + 0.809017i) q^{38} +(-0.504443 + 0.366499i) q^{39} +(1.99899 - 1.00203i) q^{40} +(-5.21172 - 3.78654i) q^{41} +(6.32211 - 2.05418i) q^{42} -3.41188i q^{43} +(-1.89635 - 5.83636i) q^{44} +(1.42007 + 0.735366i) q^{45} +(2.70126 - 8.31363i) q^{46} +(0.632961 + 0.205661i) q^{47} +(-1.13294 - 1.55936i) q^{48} -4.89412 q^{49} +(-4.00607 - 2.99189i) q^{50} +7.81459 q^{51} +(-0.190144 - 0.261711i) q^{52} +(-9.43990 - 3.06721i) q^{53} +(-1.36090 + 4.18841i) q^{54} +(-9.76661 + 9.63895i) q^{55} +(1.06573 + 3.27999i) q^{56} -1.92748i q^{57} +(1.81829 - 0.590797i) q^{58} +(-3.42724 - 2.49004i) q^{59} +(-1.98191 + 3.82726i) q^{60} +(10.9403 - 7.94858i) q^{61} +(4.94281 - 6.80319i) q^{62} +(-1.44976 + 1.99542i) q^{63} +(0.809017 - 0.587785i) q^{64} +(-0.332628 + 0.642337i) q^{65} +(9.56935 + 6.95254i) q^{66} +(6.05155 - 1.96627i) q^{67} +4.05431i q^{68} +(5.20662 + 16.0243i) q^{69} +(5.48876 - 5.41702i) q^{70} +(-3.19165 + 9.82288i) q^{71} +(0.680168 + 0.221000i) q^{72} +(6.04150 + 8.31541i) q^{73} -3.30466 q^{74} +(9.63656 + 0.126792i) q^{75} +1.00000 q^{76} +(-12.4400 - 17.1222i) q^{77} +(0.593008 + 0.192680i) q^{78} +(0.259995 - 0.800184i) q^{79} +(-1.98563 - 1.02824i) q^{80} +(-3.28610 - 10.1136i) q^{81} +6.44204i q^{82} +(0.506125 - 0.164450i) q^{83} +(-5.37791 - 3.90728i) q^{84} +(8.10451 - 4.06252i) q^{85} +(-2.76027 + 2.00545i) q^{86} +(-2.16603 + 2.98128i) q^{87} +(-3.60707 + 4.96470i) q^{88} +(7.00057 - 5.08621i) q^{89} +(-0.239770 - 1.58109i) q^{90} +(-0.902586 - 0.655767i) q^{91} +(-8.31363 + 2.70126i) q^{92} +16.2086i q^{93} +(-0.205661 - 0.632961i) q^{94} +(-1.00203 - 1.99899i) q^{95} +(-0.595623 + 1.83314i) q^{96} +(0.487267 + 0.158323i) q^{97} +(2.87669 + 3.95943i) q^{98} -4.38880 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 96 q + 24 q^{4} + 8 q^{5} - 6 q^{6} + 34 q^{9}+O(q^{10}) $ 96 * q + 24 * q^4 + 8 * q^5 - 6 * q^6 + 34 * q^9	$ 96 q + 24 q^{4} + 8 q^{5} - 6 q^{6} + 34 q^{9} - 24 q^{11} + 10 q^{12} + 10 q^{14} - 8 q^{15} - 24 q^{16} + 30 q^{17} + 24 q^{19} + 2 q^{20} - 24 q^{24} - 60 q^{25} + 84 q^{26} - 30 q^{27} - 10 q^{28} - 4 q^{29} + 16 q^{30} - 14 q^{31} + 100 q^{33} + 8 q^{34} + 42 q^{35} - 34 q^{36} - 30 q^{37} + 32 q^{39} + 12 q^{41} + 10 q^{42} + 4 q^{44} - 18 q^{45} - 10 q^{46} + 10 q^{48} - 132 q^{49} - 36 q^{50} + 36 q^{51} + 30 q^{53} + 24 q^{54} - 4 q^{55} - 10 q^{56} + 60 q^{58} + 16 q^{59} + 8 q^{60} + 42 q^{61} - 110 q^{63} + 24 q^{64} + 12 q^{65} - 20 q^{66} + 130 q^{67} - 8 q^{69} + 20 q^{70} - 8 q^{71} - 120 q^{73} - 124 q^{74} - 24 q^{75} + 96 q^{76} - 50 q^{78} + 4 q^{79} - 2 q^{80} - 10 q^{81} - 70 q^{83} + 52 q^{85} - 44 q^{86} - 70 q^{87} + 10 q^{88} - 26 q^{89} + 32 q^{90} - 4 q^{91} - 10 q^{92} + 10 q^{94} + 2 q^{95} - 6 q^{96} - 10 q^{97} - 60 q^{98} - 184 q^{99}+O(q^{100}) $ 96 * q + 24 * q^4 + 8 * q^5 - 6 * q^6 + 34 * q^9 - 24 * q^11 + 10 * q^12 + 10 * q^14 - 8 * q^15 - 24 * q^16 + 30 * q^17 + 24 * q^19 + 2 * q^20 - 24 * q^24 - 60 * q^25 + 84 * q^26 - 30 * q^27 - 10 * q^28 - 4 * q^29 + 16 * q^30 - 14 * q^31 + 100 * q^33 + 8 * q^34 + 42 * q^35 - 34 * q^36 - 30 * q^37 + 32 * q^39 + 12 * q^41 + 10 * q^42 + 4 * q^44 - 18 * q^45 - 10 * q^46 + 10 * q^48 - 132 * q^49 - 36 * q^50 + 36 * q^51 + 30 * q^53 + 24 * q^54 - 4 * q^55 - 10 * q^56 + 60 * q^58 + 16 * q^59 + 8 * q^60 + 42 * q^61 - 110 * q^63 + 24 * q^64 + 12 * q^65 - 20 * q^66 + 130 * q^67 - 8 * q^69 + 20 * q^70 - 8 * q^71 - 120 * q^73 - 124 * q^74 - 24 * q^75 + 96 * q^76 - 50 * q^78 + 4 * q^79 - 2 * q^80 - 10 * q^81 - 70 * q^83 + 52 * q^85 - 44 * q^86 - 70 * q^87 + 10 * q^88 - 26 * q^89 + 32 * q^90 - 4 * q^91 - 10 * q^92 + 10 * q^94 + 2 * q^95 - 6 * q^96 - 10 * q^97 - 60 * q^98 - 184 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/950\mathbb{Z}\right)^\times$.

$n$	$77$	$401$
$\chi(n)$	$e\left(\frac{3}{10}\right)$	$1$

Coefficient data

For each $n$ we display the coefficients of the $q$-expansion $a_n$, the Satake parameters $\alpha_p$, and the Satake angles $\theta_p = \textrm{Arg}(\alpha_p)$.

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

$n$	$a_n$			$a_n / n^{(k-1)/2}$			$ \alpha_n $			$ \theta_n $
$p$	$a_p$			$a_p / p^{(k-1)/2}$			$ \alpha_p$			$ \theta_p $

$2$	−0.587785	−	0.809017i	−0.415627	−	0.572061i
$2$	−0.587785	−	0.809017i	−0.415627	−	0.572061i
$3$	1.83314	+	0.595623i	1.05836	+	0.343883i	0.785946	−	0.618296i	$-0.212177\pi$
$3$	1.83314	+	0.595623i	1.05836	+	0.343883i	0.272418	+	0.962179i	$0.412177\pi$
$4$	−0.309017	+	0.951057i	−0.154508	+	0.475528i
$5$	2.21079	−	0.335262i	0.988696	−	0.149934i
$5$	2.21079	−	0.335262i	0.988696	−	0.149934i
$6$	−0.595623	−	1.83314i	−0.243162	−	0.748376i
$7$			3.44879i			1.30352i	0.758426	+	0.651759i	$0.225969\pi$
$7$			3.44879i			1.30352i	−0.758426	+	0.651759i	$0.774031\pi$
$8$	0.951057	−	0.309017i	0.336249	−	0.109254i
$9$	0.578586	+	0.420367i	0.192862	+	0.140122i
$10$	−1.57070	−	1.59151i	−0.496700	−	0.503278i
$11$	−4.96470	+	3.60707i	−1.49691	+	1.08757i	−0.525323	+	0.850903i	$0.676056\pi$
$11$	−4.96470	+	3.60707i	−1.49691	+	1.08757i	−0.971590	+	0.236669i	$0.923944\pi$
$12$	−1.13294	+	1.55936i	−0.327053	+	0.450149i
$13$	−0.190144	+	0.261711i	−0.0527366	+	0.0725856i	−0.834571	−	0.550901i	$-0.814284\pi$
$13$	−0.190144	+	0.261711i	−0.0527366	+	0.0725856i	0.781834	+	0.623486i	$0.214284\pi$
$14$	2.79013	−	2.02715i	0.745692	−	0.541777i
$15$	4.25238	+	0.702217i	1.09796	+	0.181312i
$16$	−0.809017	−	0.587785i	−0.202254	−	0.146946i
$17$	3.85588	−	1.25285i	0.935188	−	0.303861i	0.198505	−	0.980100i	$-0.436391\pi$
$17$	3.85588	−	1.25285i	0.935188	−	0.303861i	0.736682	+	0.676239i	$0.236391\pi$
$18$		−	0.715171i		−	0.168567i
$19$	−0.309017	−	0.951057i	−0.0708934	−	0.218187i
$19$	−0.309017	−	0.951057i	−0.0708934	−	0.218187i
$20$	−0.364319	+	2.20619i	−0.0814642	+	0.493319i
$21$	−2.05418	+	6.32211i	−0.448258	+	1.37960i
$22$	5.83636	+	1.89635i	1.24432	+	0.404303i
$23$	5.13811	+	7.07200i	1.07137	+	1.47461i	0.868682	+	0.495370i	$0.164967\pi$
$23$	5.13811	+	7.07200i	1.07137	+	1.47461i	0.202687	+	0.979244i	$0.435033\pi$
$24$	1.92748			0.393445
$25$	4.77520	−	1.48239i	0.955040	−	0.296478i
$26$	0.323493			0.0634422
$27$	−2.58858	−	3.56288i	−0.498173	−	0.685676i
$28$	−3.27999	−	1.06573i	−0.619860	−	0.201405i
$29$	−0.590797	+	1.81829i	−0.109708	+	0.337647i	−0.990807	−	0.135286i	$-0.956805\pi$
$29$	−0.590797	+	1.81829i	−0.109708	+	0.337647i	0.881098	+	0.472933i	$0.156805\pi$
$30$	−1.93138	−	3.85300i	−0.352620	−	0.703459i
$31$	2.59859	+	7.99763i	0.466720	+	1.43642i	0.856806	+	0.515638i	$0.172445\pi$
$31$	2.59859	+	7.99763i	0.466720	+	1.43642i	−0.390086	+	0.920778i	$0.627555\pi$
$32$			1.00000i			0.176777i
$33$	−11.2494	+	3.65517i	−1.95828	+	0.636283i
$34$	−3.28001	−	2.38306i	−0.562516	−	0.408692i
$35$	1.15625	+	7.62455i	0.195441	+	1.28878i
$36$	−0.578586	+	0.420367i	−0.0964310	+	0.0700612i
$37$	1.94243	−	2.67352i	0.319333	−	0.439525i	−0.618930	−	0.785446i	$-0.712434\pi$
$37$	1.94243	−	2.67352i	0.319333	−	0.439525i	0.938264	+	0.345921i	$0.112434\pi$
$38$	−0.587785	+	0.809017i	−0.0953514	+	0.131240i
$39$	−0.504443	+	0.366499i	−0.0807755	+	0.0586868i
$40$	1.99899	−	1.00203i	0.316067	−	0.158434i
$41$	−5.21172	−	3.78654i	−0.813934	−	0.591358i	0.101034	−	0.994883i	$-0.467785\pi$
$41$	−5.21172	−	3.78654i	−0.813934	−	0.591358i	−0.914969	+	0.403525i	$0.867785\pi$
$42$	6.32211	−	2.05418i	0.975522	−	0.316966i
$43$		−	3.41188i		−	0.520306i	−0.965567	−	0.260153i	$-0.916227\pi$
$43$		−	3.41188i		−	0.520306i	0.965567	−	0.260153i	$-0.0837731\pi$
$44$	−1.89635	−	5.83636i	−0.285885	−	0.879864i
$45$	1.42007	+	0.735366i	0.211691	+	0.109622i
$46$	2.70126	−	8.31363i	0.398279	−	1.22578i
$47$	0.632961	+	0.205661i	0.0923268	+	0.0299988i	0.354816	−	0.934936i	$-0.384543\pi$
$47$	0.632961	+	0.205661i	0.0923268	+	0.0299988i	−0.262489	+	0.964935i	$0.584543\pi$
$48$	−1.13294	−	1.55936i	−0.163526	−	0.225075i
$49$	−4.89412			−0.699160
$50$	−4.00607	−	2.99189i	−0.566544	−	0.423117i
$51$	7.81459			1.09426
$52$	−0.190144	−	0.261711i	−0.0263683	−	0.0362928i
$53$	−9.43990	−	3.06721i	−1.29667	−	0.421314i	−0.422248	−	0.906480i	$-0.638759\pi$
$53$	−9.43990	−	3.06721i	−1.29667	−	0.421314i	−0.874422	+	0.485167i	$0.838759\pi$
$54$	−1.36090	+	4.18841i	−0.185195	+	0.569971i
$55$	−9.76661	+	9.63895i	−1.31693	+	1.29972i
$56$	1.06573	+	3.27999i	0.142415	+	0.438307i
$57$		−	1.92748i		−	0.255301i
$58$	1.81829	−	0.590797i	0.238753	−	0.0775755i
$59$	−3.42724	−	2.49004i	−0.446189	−	0.324175i	0.341900	−	0.939736i	$-0.388929\pi$
$59$	−3.42724	−	2.49004i	−0.446189	−	0.324175i	−0.788089	+	0.615561i	$0.788929\pi$
$60$	−1.98191	+	3.82726i	−0.255863	+	0.494097i
$61$	10.9403	−	7.94858i	1.40076	−	1.01771i	0.406173	−	0.913796i	$-0.366863\pi$
$61$	10.9403	−	7.94858i	1.40076	−	1.01771i	0.994586	−	0.103915i	$-0.0331370\pi$
$62$	4.94281	−	6.80319i	0.627737	−	0.864006i
$63$	−1.44976	+	1.99542i	−0.182652	+	0.251399i
$64$	0.809017	−	0.587785i	0.101127	−	0.0734732i
$65$	−0.332628	+	0.642337i	−0.0412574	+	0.0796721i
$66$	9.56935	+	6.95254i	1.17791	+	0.855799i
$67$	6.05155	−	1.96627i	0.739314	−	0.240218i	0.0849375	−	0.996386i	$-0.472931\pi$
$67$	6.05155	−	1.96627i	0.739314	−	0.240218i	0.654377	+	0.756168i	$0.272931\pi$
$68$			4.05431i			0.491657i
$69$	5.20662	+	16.0243i	0.626804	+	1.92910i
$70$	5.48876	−	5.41702i	0.656032	−	0.647458i
$71$	−3.19165	+	9.82288i	−0.378779	+	1.16576i	0.562115	+	0.827059i	$0.309988\pi$
$71$	−3.19165	+	9.82288i	−0.378779	+	1.16576i	−0.940894	+	0.338702i	$0.890012\pi$
$72$	0.680168	+	0.221000i	0.0801586	+	0.0260451i
$73$	6.04150	+	8.31541i	0.707104	+	0.973245i	0.999855	+	0.0170563i	$0.00542946\pi$
$73$	6.04150	+	8.31541i	0.707104	+	0.973245i	−0.292751	+	0.956189i	$0.594571\pi$
$74$	−3.30466			−0.384159
$75$	9.63656	+	0.126792i	1.11273	+	0.0146407i
$76$	1.00000			0.114708
$77$	−12.4400	−	17.1222i	−1.41767	−	1.95125i
$78$	0.593008	+	0.192680i	0.0671449	+	0.0218167i
$79$	0.259995	−	0.800184i	0.0292518	−	0.0900277i	−0.935365	−	0.353685i	$-0.884929\pi$
$79$	0.259995	−	0.800184i	0.0292518	−	0.0900277i	0.964617	+	0.263657i	$0.0849287\pi$
$80$	−1.98563	−	1.02824i	−0.222000	−	0.114960i
$81$	−3.28610	−	10.1136i	−0.365122	−	1.12373i
$82$			6.44204i			0.711404i
$83$	0.506125	−	0.164450i	0.0555544	−	0.0180507i	−0.281108	−	0.959676i	$-0.590702\pi$
$83$	0.506125	−	0.164450i	0.0555544	−	0.0180507i	0.336662	+	0.941625i	$0.390702\pi$
$84$	−5.37791	−	3.90728i	−0.586778	−	0.426319i
$85$	8.10451	−	4.06252i	0.879057	−	0.440642i
$86$	−2.76027	+	2.00545i	−0.297647	+	0.216253i
$87$	−2.16603	+	2.98128i	−0.232223	+	0.319627i
$88$	−3.60707	+	4.96470i	−0.384515	+	0.529239i
$89$	7.00057	−	5.08621i	0.742059	−	0.539138i	−0.151296	−	0.988488i	$-0.548345\pi$
$89$	7.00057	−	5.08621i	0.742059	−	0.539138i	0.893355	+	0.449351i	$0.148345\pi$
$90$	−0.239770	−	1.58109i	−0.0252740	−	0.166662i
$91$	−0.902586	−	0.655767i	−0.0946167	−	0.0687431i
$92$	−8.31363	+	2.70126i	−0.866756	+	0.281626i
$93$			16.2086i			1.68075i
$94$	−0.205661	−	0.632961i	−0.0212124	−	0.0652849i
$95$	−1.00203	−	1.99899i	−0.102806	−	0.205092i
$96$	−0.595623	+	1.83314i	−0.0607906	+	0.187094i
$97$	0.487267	+	0.158323i	0.0494745	+	0.0160752i	0.333650	−	0.942697i	$-0.391720\pi$
$97$	0.487267	+	0.158323i	0.0494745	+	0.0160752i	−0.284175	+	0.958772i	$0.591720\pi$
$98$	2.87669	+	3.95943i	0.290590	+	0.399962i
$99$	−4.38880			−0.441091
$100$	−0.0657813	+	4.99957i	−0.00657813	+	0.499957i
$101$	17.1872			1.71019			0.855095	−	0.518471i	$-0.173498\pi$
$101$	17.1872			1.71019			0.855095	+	0.518471i	$0.173498\pi$
$102$	−4.59330	−	6.32214i	−0.454805	−	0.625985i
$103$	−4.98260	−	1.61894i	−0.490950	−	0.159519i	0.0530713	−	0.998591i	$-0.483099\pi$
$103$	−4.98260	−	1.61894i	−0.490950	−	0.159519i	−0.544021	+	0.839071i	$0.683099\pi$
$104$	−0.0999648	+	0.307660i	−0.00980235	+	0.0301685i
$105$	−2.42179	+	14.6656i	−0.236343	+	1.43121i
$106$	3.06721	+	9.43990i	0.297914	+	0.916884i
$107$		−	10.4769i		−	1.01284i	−0.862287	−	0.506420i	$-0.830969\pi$
$107$		−	10.4769i		−	1.01284i	0.862287	−	0.506420i	$-0.169031\pi$
$108$	4.18841	−	1.36090i	0.403030	−	0.130952i
$109$	−8.78687	−	6.38403i	−0.841629	−	0.611480i	0.0811959	−	0.996698i	$-0.474126\pi$
$109$	−8.78687	−	6.38403i	−0.841629	−	0.611480i	−0.922825	+	0.385219i	$0.874126\pi$
$110$	13.5387	+	2.23572i	1.29087	+	0.213167i
$111$	5.15316	−	3.74399i	0.489116	−	0.355364i
$112$	2.02715	−	2.79013i	0.191547	−	0.263642i
$113$	−9.60359	+	13.2182i	−0.903430	+	1.24346i	0.0659309	+	0.997824i	$0.478998\pi$
$113$	−9.60359	+	13.2182i	−0.903430	+	1.24346i	−0.969361	+	0.245641i	$0.921002\pi$
$114$	−1.55936	+	1.13294i	−0.146048	+	0.106110i
$115$	13.7303	+	13.9121i	1.28035	+	1.29731i
$116$	−1.54673	−	1.12376i	−0.143610	−	0.104339i
$117$	−0.220030	+	0.0714920i	−0.0203417	+	0.00660943i
$118$			4.23631i			0.389983i
$119$	4.32081	+	13.2981i	0.396088	+	1.21903i
$120$	4.26125	−	0.646210i	0.388997	−	0.0589907i
$121$	8.23814	−	25.3544i	0.748922	−	2.30494i
$122$	−12.8611	−	4.17881i	−1.16439	−	0.378332i
$123$	−7.29847	−	10.0455i	−0.658081	−	0.905770i
$124$	−8.40921			−0.755169
$125$	10.0600	−	4.87820i	0.899792	−	0.436319i
$126$	2.46647			0.219731
$127$	−2.32644	−	3.20207i	−0.206438	−	0.284138i	0.693226	−	0.720720i	$-0.256189\pi$
$127$	−2.32644	−	3.20207i	−0.206438	−	0.284138i	−0.899664	+	0.436582i	$0.856189\pi$
$128$	−0.951057	−	0.309017i	−0.0840623	−	0.0273135i
$129$	2.03219	−	6.25445i	0.178925	−	0.550674i
$130$	0.715175	−	0.108455i	0.0627250	−	0.00951213i
$131$	−4.43430	−	13.6474i	−0.387427	−	1.19238i	−0.934705	−	0.355425i	$-0.884336\pi$
$131$	−4.43430	−	13.6474i	−0.387427	−	1.19238i	0.547278	−	0.836951i	$-0.315664\pi$
$132$		−	11.8284i		−	1.02953i
$133$	3.27999	−	1.06573i	0.284411	−	0.0924108i
$134$	−5.14776	−	3.74006i	−0.444698	−	0.323092i
$135$	−6.91731	−	7.00892i	−0.595347	−	0.603232i
$136$	3.28001	−	2.38306i	0.281258	−	0.204346i
$137$	0.203777	−	0.280474i	0.0174098	−	0.0239625i	−0.800223	−	0.599702i	$-0.795286\pi$
$137$	0.203777	−	0.280474i	0.0174098	−	0.0239625i	0.817633	+	0.575740i	$0.195286\pi$
$138$	9.90359	−	13.6311i	0.843049	−	1.16036i
$139$	15.3563	−	11.1570i	1.30250	−	0.946325i	0.302528	−	0.953141i	$-0.402170\pi$
$139$	15.3563	−	11.1570i	1.30250	−	0.946325i	0.999977	+	0.00681573i	$0.00216953\pi$
$140$	−7.60867	−	1.25646i	−0.643050	−	0.106190i
$141$	1.03781	+	0.754013i	0.0873993	+	0.0634993i
$142$	9.82288	−	3.19165i	0.824317	−	0.267837i
$143$		−	1.98518i		−	0.166009i
$144$	−0.221000	−	0.680168i	−0.0184167	−	0.0566807i
$145$	−0.696527	+	4.21793i	−0.0578434	+	0.350280i
$146$	3.17620	−	9.77535i	0.262865	−	0.809014i
$147$	−8.97161	−	2.91505i	−0.739966	−	0.240429i
$148$	1.94243	+	2.67352i	0.159667	+	0.219762i
$149$	6.59158			0.540003			0.270002	−	0.962860i	$-0.412976\pi$
$149$	6.59158			0.540003			0.270002	+	0.962860i	$0.412976\pi$
$150$	−5.56165	−	7.87066i	−0.454107	−	0.642637i
$151$	−5.36299			−0.436434			−0.218217	−	0.975900i	$-0.570024\pi$
$151$	−5.36299			−0.436434			−0.218217	+	0.975900i	$0.570024\pi$
$152$	−0.587785	−	0.809017i	−0.0476757	−	0.0656199i
$153$	2.75761	+	0.896003i	0.222940	+	0.0724375i
$154$	−6.54009	+	20.1283i	−0.527016	+	1.62199i
$155$	8.42624	+	16.8099i	0.676812	+	1.35020i
$156$	−0.192680	−	0.593008i	−0.0154267	−	0.0474786i
$157$		−	8.71745i		−	0.695728i	−0.937545	−	0.347864i	$-0.886907\pi$
$157$		−	8.71745i		−	0.695728i	0.937545	−	0.347864i	$-0.113093\pi$
$158$	−0.800184	+	0.259995i	−0.0636592	+	0.0206841i
$159$	−15.4778	−	11.2453i	−1.22747	−	0.891806i
$160$	0.335262	+	2.21079i	0.0265048	+	0.174778i
$161$	−24.3898	+	17.7202i	−1.92219	+	1.39655i
$162$	−6.25053	+	8.60312i	−0.491088	+	0.675925i
$163$	−5.10931	+	7.03236i	−0.400192	+	0.550817i	−0.960792	−	0.277270i	$-0.910571\pi$
$163$	−5.10931	+	7.03236i	−0.400192	+	0.550817i	0.560600	+	0.828087i	$0.310571\pi$
$164$	5.21172	−	3.78654i	0.406967	−	0.295679i
$165$	−23.6447	+	11.8523i	−1.84074	+	0.922702i
$166$	−0.430535	−	0.312802i	−0.0334160	−	0.0242782i
$167$	9.14953	−	2.97286i	0.708012	−	0.230047i	0.0671940	−	0.997740i	$-0.478595\pi$
$167$	9.14953	−	2.97286i	0.708012	−	0.230047i	0.640818	+	0.767693i	$0.278595\pi$
$168$			6.64746i			0.512862i
$169$	3.98488	+	12.2642i	0.306529	+	0.943401i
$170$	−8.05036	−	4.16880i	−0.617434	−	0.319732i
$171$	0.221000	−	0.680168i	0.0169003	−	0.0520138i
$172$	3.24489	+	1.05433i	0.247420	+	0.0803918i
$173$	−7.52365	−	10.3554i	−0.572012	−	0.787307i	0.420779	−	0.907163i	$-0.361757\pi$
$173$	−7.52365	−	10.3554i	−0.572012	−	0.787307i	−0.992791	+	0.119856i	$0.961757\pi$
$174$	3.68507			0.279364
$175$	5.11244	+	16.4686i	0.386464	+	1.24491i
$176$	6.13671			0.462572
$177$	−4.79949	−	6.60593i	−0.360752	−	0.496532i
$178$	−8.22967	−	2.67398i	−0.616840	−	0.200423i
$179$	3.05377	−	9.39853i	0.228249	−	0.702479i	−0.769696	−	0.638410i	$-0.779592\pi$
$179$	3.05377	−	9.39853i	0.228249	−	0.702479i	0.997945	−	0.0640687i	$-0.0204077\pi$
$180$	−1.13820	+	1.12332i	−0.0848364	+	0.0837275i
$181$	5.11632	+	15.7464i	0.380293	+	1.17042i	0.939838	+	0.341621i	$0.110976\pi$
$181$	5.11632	+	15.7464i	0.380293	+	1.17042i	−0.559545	+	0.828800i	$0.689024\pi$
$182$			1.11566i			0.0826980i
$183$	24.7894	−	8.05457i	1.83249	−	0.595411i
$184$	7.07200	+	5.13811i	0.521354	+	0.378786i
$185$	3.39797	−	6.56183i	0.249824	−	0.482435i
$186$	13.1130	−	9.52715i	0.961492	−	0.698565i
$187$	−14.6242	+	20.1284i	−1.06943	+	1.47194i
$188$	−0.391191	+	0.538429i	−0.0285306	+	0.0392689i
$189$	12.2876	−	8.92746i	0.893791	−	0.649377i
$190$	−1.02824	+	1.98563i	−0.0745962	+	0.144053i
$191$	−8.37277	−	6.08317i	−0.605832	−	0.440163i	0.242112	−	0.970248i	$-0.422160\pi$
$191$	−8.37277	−	6.08317i	−0.605832	−	0.440163i	−0.847944	+	0.530085i	$0.822160\pi$
$192$	1.83314	−	0.595623i	0.132296	−	0.0429854i
$193$			3.85420i			0.277431i	0.990332	+	0.138716i	$0.0442974\pi$
$193$			3.85420i			0.277431i	−0.990332	+	0.138716i	$0.955703\pi$
$194$	−0.158323	−	0.487267i	−0.0113669	−	0.0349837i
$195$	−0.992344	+	0.979373i	−0.0710632	+	0.0701344i
$196$	1.51237	−	4.65458i	0.108026	−	0.332470i
$197$	3.76794	+	1.22428i	0.268454	+	0.0872261i	0.440151	−	0.897924i	$-0.354925\pi$
$197$	3.76794	+	1.22428i	0.268454	+	0.0872261i	−0.171697	+	0.985150i	$0.554925\pi$
$198$	2.57967	+	3.55061i	0.183329	+	0.252331i
$199$	11.3864			0.807160			0.403580	−	0.914944i	$-0.367766\pi$
$199$	11.3864			0.807160			0.403580	+	0.914944i	$0.367766\pi$
$200$	4.08340	−	2.88545i	0.288740	−	0.204032i
$201$	12.2645			0.865071
$202$	−10.1024	−	13.9047i	−0.710801	−	0.978334i
$203$	−6.27088	−	2.03753i	−0.440130	−	0.143007i
$204$	−2.41484	+	7.43212i	−0.169073	+	0.520353i
$205$	−12.7915	−	6.62395i	−0.893398	−	0.462637i
$206$	1.61894	+	4.98260i	0.112797	+	0.347154i
$207$			6.25165i			0.434520i
$208$	0.307660	−	0.0999648i	0.0213324	−	0.00693131i
$209$	4.96470	+	3.60707i	0.343416	+	0.249506i
$210$	13.2882	−	6.66092i	0.916971	−	0.459647i
$211$	8.46024	−	6.14672i	0.582427	−	0.423158i	−0.257171	−	0.966366i	$-0.582790\pi$
$211$	8.46024	−	6.14672i	0.582427	−	0.423158i	0.839598	+	0.543208i	$0.182790\pi$
$212$	5.83418	−	8.03006i	0.400693	−	0.551507i
$213$	−11.7015	+	16.1057i	−0.801771	+	1.10354i
$214$	−8.47599	+	6.15817i	−0.579407	+	0.420964i
$215$	−1.14387	−	7.54295i	−0.0780115	−	0.514425i
$216$	−3.56288	−	2.58858i	−0.242423	−	0.176131i
$217$	−27.5821	+	8.96197i	−1.87240	+	0.608378i
$218$			10.8612i			0.735611i
$219$	6.12206	+	18.8418i	0.413691	+	1.27321i
$220$	−6.14914	−	12.2672i	−0.414575	−	0.827054i
$221$	−0.405288	+	1.24735i	−0.0272626	+	0.0839058i
$222$	−6.05790	−	1.96833i	−0.406580	−	0.132106i
$223$	−11.9059	−	16.3871i	−0.797281	−	1.09736i	−0.993163	−	0.116735i	$-0.962757\pi$
$223$	−11.9059	−	16.3871i	−0.797281	−	1.09736i	0.195882	−	0.980627i	$-0.437243\pi$
$224$	−3.44879			−0.230432
$225$	3.38601	+	1.14965i	0.225734	+	0.0766431i
$226$	16.3386			1.08683
$227$	−15.4239	−	21.2292i	−1.02372	−	1.40903i	−0.909563	−	0.415566i	$-0.863583\pi$
$227$	−15.4239	−	21.2292i	−1.02372	−	1.40903i	−0.114156	−	0.993463i	$-0.536417\pi$
$228$	1.83314	+	0.595623i	0.121403	+	0.0394461i
$229$	6.59195	−	20.2879i	0.435608	−	1.34066i	−0.456854	−	0.889542i	$-0.651024\pi$
$229$	6.59195	−	20.2879i	0.435608	−	1.34066i	0.892462	−	0.451123i	$-0.148976\pi$
$230$	3.18468	−	19.2853i	0.209992	−	1.27164i
$231$	−12.6059	−	38.7969i	−0.829406	−	2.55265i
$232$			1.91186i			0.125520i
$233$	−11.4074	+	3.70648i	−0.747321	+	0.242819i	−0.657828	−	0.753168i	$-0.728525\pi$
$233$	−11.4074	+	3.70648i	−0.747321	+	0.242819i	−0.0894930	+	0.995987i	$0.528525\pi$
$234$	0.187168	+	0.135986i	0.0122356	+	0.00888967i
$235$	1.46830	+	0.242467i	0.0957810	+	0.0158168i
$236$	3.42724	−	2.49004i	0.223095	−	0.162088i
$237$	0.953216	−	1.31199i	0.0619180	−	0.0852229i
$238$	8.21868	−	11.3120i	0.532738	−	0.733250i
$239$	−8.90651	+	6.47096i	−0.576114	+	0.418572i	−0.837321	−	0.546711i	$-0.815880\pi$
$239$	−8.90651	+	6.47096i	−0.576114	+	0.418572i	0.261207	+	0.965283i	$0.415880\pi$
$240$	−3.02750	−	3.06759i	−0.195424	−	0.198012i
$241$	5.17377	+	3.75896i	0.333272	+	0.242136i	0.741818	−	0.670602i	$-0.233964\pi$
$241$	5.17377	+	3.75896i	0.333272	+	0.242136i	−0.408546	+	0.912738i	$0.633964\pi$
$242$	−25.3544	+	8.23814i	−1.62984	+	0.529568i
$243$		−	7.28501i		−	0.467334i
$244$	4.17881	+	12.8611i	0.267521	+	0.823346i
$245$	−10.8199	+	1.64081i	−0.691257	+	0.104828i
$246$	−3.83703	+	11.8092i	−0.244640	+	0.752925i
$247$	0.307660	+	0.0999648i	0.0195759	+	0.00636061i
$248$	4.94281	+	6.80319i	0.313869	+	0.432003i
$249$	1.02575			0.0650041
$250$	−9.85965	−	5.27136i	−0.623579	−	0.333390i
$251$	−29.8500			−1.88412			−0.942058	−	0.335450i	$-0.891112\pi$
$251$	−29.8500			−1.88412			−0.942058	+	0.335450i	$0.891112\pi$
$252$	−1.44976	−	1.99542i	−0.0913260	−	0.125700i
$253$	−51.0183	−	16.5769i	−3.20749	−	1.04218i
$254$	−1.22308	+	3.76426i	−0.0767431	+	0.236191i
$255$	17.2764	−	2.61994i	1.08189	−	0.164067i
$256$	0.309017	+	0.951057i	0.0193136	+	0.0594410i
$257$		−	28.5072i		−	1.77823i	−0.457684	−	0.889115i	$-0.651321\pi$
$257$		−	28.5072i		−	1.77823i	0.457684	−	0.889115i	$-0.348679\pi$
$258$	−6.25445	+	2.03219i	−0.389385	+	0.126519i
$259$	9.22041	+	6.69902i	0.572928	+	0.416257i
$260$	−0.508111	−	0.514841i	−0.0315117	−	0.0319291i
$261$	−1.10618	+	0.803683i	−0.0684705	+	0.0497467i
$262$	−8.43454	+	11.6091i	−0.521088	+	0.717215i
$263$	2.96489	−	4.08082i	0.182823	−	0.251634i	−0.707762	−	0.706451i	$-0.750295\pi$
$263$	2.96489	−	4.08082i	0.182823	−	0.251634i	0.890585	+	0.454816i	$0.150295\pi$
$264$	−9.56935	+	6.95254i	−0.588953	+	0.427899i
$265$	−21.8980	−	3.61612i	−1.34518	−	0.222136i
$266$	−2.79013	−	2.02715i	−0.171074	−	0.124292i
$267$	15.8625	−	5.15404i	0.970769	−	0.315422i
$268$			6.36298i			0.388681i
$269$	3.45107	+	10.6213i	0.210415	+	0.647592i	0.999447	+	0.0332398i	$0.0105825\pi$
$269$	3.45107	+	10.6213i	0.210415	+	0.647592i	−0.789032	+	0.614352i	$0.789418\pi$
$270$	−1.60444	+	9.71596i	−0.0976434	+	0.591295i
$271$	−1.90804	+	5.87235i	−0.115905	+	0.356720i	−0.992135	−	0.125174i	$-0.960051\pi$
$271$	−1.90804	+	5.87235i	−0.115905	+	0.356720i	0.876229	+	0.481894i	$0.160051\pi$
$272$	−3.85588	−	1.25285i	−0.233797	−	0.0759652i
$273$	−1.26398	−	1.73971i	−0.0764993	−	0.105292i
$274$	−0.346685			−0.0209440
$275$	−18.3604	+	24.5841i	−1.10717	+	1.48248i
$276$	−16.8490			−1.01419
$277$	12.2228	+	16.8233i	0.734400	+	1.01081i	0.998921	+	0.0464345i	$0.0147859\pi$
$277$	12.2228	+	16.8233i	0.734400	+	1.01081i	−0.264522	+	0.964380i	$0.585214\pi$
$278$	−18.0524	−	5.86559i	−1.08271	−	0.351794i
$279$	−1.85844	+	5.71968i	−0.111262	+	0.342428i
$280$	3.45577	+	6.89407i	0.206522	+	0.412000i
$281$	7.42082	+	22.8389i	0.442689	+	1.36246i	0.884998	+	0.465594i	$0.154159\pi$
$281$	7.42082	+	22.8389i	0.442689	+	1.36246i	−0.442309	+	0.896863i	$0.645841\pi$
$282$		−	1.28280i		−	0.0763898i
$283$	−14.6476	+	4.75930i	−0.870710	+	0.282911i	−0.710095	−	0.704106i	$-0.751348\pi$
$283$	−14.6476	+	4.75930i	−0.870710	+	0.282911i	−0.160615	+	0.987017i	$0.551348\pi$
$284$	−8.35584	−	6.07087i	−0.495828	−	0.360240i
$285$	−0.646210	−	4.26125i	−0.0382782	−	0.252415i
$286$	−1.60605	+	1.16686i	−0.0949675	+	0.0689979i
$287$	13.0590	−	17.9741i	0.770846	−	1.06098i
$288$	−0.420367	+	0.578586i	−0.0247704	+	0.0340935i
$289$	−0.455127	+	0.330669i	−0.0267722	+	0.0194511i
$290$	3.82178	−	1.91573i	0.224423	−	0.112496i
$291$	0.798928	+	0.580455i	0.0468340	+	0.0340269i
$292$	−9.77535	+	3.17620i	−0.572059	+	0.185873i
$293$		−	16.8862i		−	0.986502i	−0.869887	−	0.493251i	$-0.835809\pi$
$293$		−	16.8862i		−	0.986502i	0.869887	−	0.493251i	$-0.164191\pi$
$294$	2.91505	+	8.97161i	0.170009	+	0.523235i
$295$	−8.41173	−	4.35593i	−0.489750	−	0.253612i
$296$	1.02120	−	3.14292i	0.0593558	−	0.182678i
$297$	25.7031	+	8.35143i	1.49144	+	0.484599i
$298$	−3.87443	−	5.33270i	−0.224440	−	0.308915i
$299$	−2.82780			−0.163536
$300$	−3.09845	+	9.12573i	−0.178889	+	0.526874i
$301$	11.7668			0.678229
$302$	3.15229	+	4.33875i	0.181394	+	0.249667i
$303$	31.5066	+	10.2371i	1.81000	+	0.588106i
$304$	−0.309017	+	0.951057i	−0.0177233	+	0.0545468i
$305$	21.5218	−	21.2405i	1.23234	−	1.21623i
$306$	−0.896003	−	2.75761i	−0.0512211	−	0.157642i
$307$			21.7272i			1.24004i	0.784587	+	0.620019i	$0.212875\pi$
$307$			21.7272i			1.24004i	−0.784587	+	0.620019i	$0.787125\pi$
$308$	20.1283	−	6.54009i	1.14692	−	0.372656i
$309$	−8.16952	−	5.93551i	−0.464748	−	0.337659i
$310$	8.64666	−	16.6976i	0.491098	−	0.948358i
$311$	−3.34649	+	2.43137i	−0.189762	+	0.137870i	−0.678610	−	0.734499i	$-0.737417\pi$
$311$	−3.34649	+	2.43137i	−0.189762	+	0.137870i	0.488848	+	0.872369i	$0.337417\pi$
$312$	−0.366499	+	0.504443i	−0.0207489	+	0.0285584i
$313$	−5.18312	+	7.13395i	−0.292967	+	0.403235i	−0.929975	−	0.367623i	$-0.880172\pi$
$313$	−5.18312	+	7.13395i	−0.292967	+	0.403235i	0.637008	+	0.770857i	$0.280172\pi$
$314$	−7.05256	+	5.12399i	−0.397999	+	0.289163i
$315$	−2.53612	+	4.89750i	−0.142894	+	0.275943i
$316$	0.680677	+	0.494541i	0.0382911	+	0.0278201i
$317$	−17.3087	+	5.62394i	−0.972154	+	0.315872i	−0.751685	−	0.659522i	$-0.770759\pi$
$317$	−17.3087	+	5.62394i	−0.972154	+	0.315872i	−0.220469	+	0.975394i	$0.570759\pi$
$318$			19.1316i			1.07284i
$319$	−3.62555	−	11.1583i	−0.202992	−	0.624745i
$320$	1.59151	−	1.57070i	0.0889679	−	0.0878050i
$321$	6.24029	−	19.2056i	0.348299	−	1.07195i
$322$	28.6719	+	9.31607i	1.59782	+	0.519164i
$323$	−2.38306	−	3.28001i	−0.132597	−	0.182504i
$324$	10.6340			0.590780
$325$	−0.520019	+	1.53159i	−0.0288455	+	0.0849574i
$326$	8.69248			0.481432
$327$	−12.3051	−	16.9365i	−0.680473	−	0.936590i
$328$	−6.12675	−	1.99070i	−0.338293	−	0.109918i
$329$	−0.709282	+	2.18295i	−0.0391040	+	0.120350i
$330$	23.4868	+	12.1624i	1.29290	+	0.669517i
$331$	7.27496	+	22.3900i	0.399868	+	1.23067i	0.925105	+	0.379712i	$0.123977\pi$
$331$	7.27496	+	22.3900i	0.399868	+	1.23067i	−0.525237	+	0.850956i	$0.676023\pi$
$332$			0.532171i			0.0292067i
$333$	2.24772	−	0.730330i	0.123174	−	0.0400218i
$334$	−7.78306	−	5.65472i	−0.425870	−	0.309413i
$335$	12.7195	−	6.37586i	0.694941	−	0.348351i
$336$	5.37791	−	3.90728i	0.293389	−	0.213159i
$337$	4.59014	−	6.31779i	0.250041	−	0.344152i	−0.665485	−	0.746411i	$-0.731775\pi$
$337$	4.59014	−	6.31779i	0.250041	−	0.344152i	0.915526	+	0.402260i	$0.131775\pi$
$338$	7.57970	−	10.4326i	0.412281	−	0.567456i
$339$	−25.4778	+	18.5107i	−1.38376	+	1.00536i
$340$	1.35926	+	8.96323i	0.0737161	+	0.486100i
$341$	−41.7492	−	30.3326i	−2.26085	−	1.64260i
$342$	−0.680168	+	0.221000i	−0.0367793	+	0.0119503i
$343$			7.26273i			0.392151i
$344$	−1.05433	−	3.24489i	−0.0568456	−	0.174953i
$345$	16.8831	+	33.6809i	0.908956	+	1.81332i
$346$	−3.95542	+	12.1735i	−0.212644	+	0.654452i
$347$	6.69128	+	2.17413i	0.359207	+	0.116713i	0.483060	−	0.875587i	$-0.339525\pi$
$347$	6.69128	+	2.17413i	0.359207	+	0.116713i	−0.123853	+	0.992301i	$0.539525\pi$
$348$	−2.16603	−	2.98128i	−0.116111	−	0.159814i
$349$	9.21593			0.493318			0.246659	−	0.969102i	$-0.420667\pi$
$349$	9.21593			0.493318			0.246659	+	0.969102i	$0.420667\pi$
$350$	10.3184	−	13.8161i	0.551541	−	0.738500i
$351$	1.42465			0.0760421
$352$	−3.60707	−	4.96470i	−0.192257	−	0.264619i
$353$	−20.2368	−	6.57534i	−1.07710	−	0.349970i	−0.283849	−	0.958869i	$-0.591612\pi$
$353$	−20.2368	−	6.57534i	−1.07710	−	0.349970i	−0.793248	+	0.608899i	$0.791612\pi$
$354$	−2.52324	+	7.76574i	−0.134109	+	0.412745i
$355$	−3.76282	+	22.7864i	−0.199710	+	1.20937i
$356$	2.67398	+	8.22967i	0.141721	+	0.436172i
$357$			26.9509i			1.42639i
$358$	−9.39853	+	3.05377i	−0.496728	+	0.161397i
$359$	−6.58989	−	4.78784i	−0.347801	−	0.252692i	0.400145	−	0.916452i	$-0.368960\pi$
$359$	−6.58989	−	4.78784i	−0.347801	−	0.252692i	−0.747946	+	0.663760i	$0.768960\pi$
$360$	1.57780	+	0.260550i	0.0831575	+	0.0137322i
$361$	−0.809017	+	0.587785i	−0.0425798	+	0.0309361i
$362$	9.73182	−	13.3947i	0.511493	−	0.704010i
$363$	30.2033	−	41.5713i	1.58526	−	2.18193i
$364$	0.902586	−	0.655767i	0.0473084	−	0.0343715i
$365$	16.1443	+	16.3582i	0.845033	+	0.856225i
$366$	−21.0871	−	15.3207i	−1.10224	−	0.800826i
$367$	23.5523	−	7.65259i	1.22942	−	0.399462i	0.378914	−	0.925432i	$-0.376298\pi$
$367$	23.5523	−	7.65259i	1.22942	−	0.399462i	0.850503	+	0.525970i	$0.176298\pi$
$368$		−	8.74147i		−	0.455681i
$369$	−1.42369	−	4.38167i	−0.0741144	−	0.228101i
$370$	−7.30591	+	1.10793i	−0.379816	+	0.0575984i
$371$	10.5781	−	32.5562i	0.549190	−	1.69023i
$372$	−15.4153	−	5.00872i	−0.799244	−	0.259690i
$373$	1.28732	+	1.77184i	0.0666549	+	0.0917426i	0.841043	−	0.540968i	$-0.181942\pi$
$373$	1.28732	+	1.77184i	0.0666549	+	0.0917426i	−0.774388	+	0.632711i	$0.781942\pi$
$374$	24.8801			1.28652
$375$	21.3469	−	2.95046i	1.10235	−	0.152361i
$376$	0.665534			0.0343223
$377$	−0.363529	−	0.500355i	−0.0187227	−	0.0257696i
$378$	−14.4449	−	4.69344i	−0.742967	−	0.241405i
$379$	−7.92130	+	24.3792i	−0.406890	+	1.25228i	0.512417	+	0.858737i	$0.328750\pi$
$379$	−7.92130	+	24.3792i	−0.406890	+	1.25228i	−0.919307	+	0.393541i	$0.871250\pi$
$380$	2.21079	−	0.335262i	0.113411	−	0.0171986i
$381$	−2.35747	−	7.25554i	−0.120777	−	0.371712i
$382$			10.3493i			0.529517i
$383$	19.8510	−	6.44999i	1.01434	−	0.329579i	0.245759	−	0.969331i	$-0.420963\pi$
$383$	19.8510	−	6.44999i	1.01434	−	0.329579i	0.768581	+	0.639752i	$0.220963\pi$
$384$	−1.55936	−	1.13294i	−0.0795759	−	0.0578153i
$385$	−33.2427	−	33.6829i	−1.69420	−	1.71664i
$386$	3.11811	−	2.26544i	0.158708	−	0.115308i
$387$	1.43424	−	1.97406i	0.0729066	−	0.100347i
$388$	−0.301147	+	0.414494i	−0.0152884	+	0.0210427i
$389$	−27.2319	+	19.7851i	−1.38071	+	1.00315i	−0.383897	+	0.923376i	$0.625418\pi$
$389$	−27.2319	+	19.7851i	−1.38071	+	1.00315i	−0.996813	+	0.0797692i	$0.974582\pi$
$390$	1.37562	+	0.227162i	0.0696570	+	0.0115028i
$391$	28.6721	+	20.8315i	1.45001	+	1.05349i
$392$	−4.65458	+	1.51237i	−0.235092	+	0.0763860i
$393$		−	27.6587i		−	1.39520i
$394$	−1.22428	−	3.76794i	−0.0616782	−	0.189826i
$395$	0.306524	−	1.85621i	0.0154229	−	0.0933958i
$396$	1.35621	−	4.17399i	0.0681523	−	0.209751i
$397$	−2.94403	−	0.956574i	−0.147757	−	0.0480091i	0.234205	−	0.972187i	$-0.424751\pi$
$397$	−2.94403	−	0.956574i	−0.147757	−	0.0480091i	−0.381962	+	0.924178i	$0.624751\pi$
$398$	−6.69275	−	9.21179i	−0.335477	−	0.461745i
$399$	6.64746			0.332789
$400$	−4.73454	−	1.60751i	−0.236727	−	0.0803756i
$401$	31.7747			1.58675			0.793377	−	0.608730i	$-0.208321\pi$
$401$	31.7747			1.58675			0.793377	+	0.608730i	$0.208321\pi$
$402$	−7.20889	−	9.92219i	−0.359547	−	0.494874i
$403$	−2.58718	−	0.840625i	−0.128876	−	0.0418745i
$404$	−5.31114	+	16.3460i	−0.264239	+	0.813244i
$405$	−10.6556	−	21.2573i	−0.529480	−	1.05628i
$406$	2.03753	+	6.27088i	0.101121	+	0.311219i
$407$			20.2797i			1.00523i
$408$	7.43212	−	2.41484i	0.367945	−	0.119553i
$409$	−6.03741	−	4.38644i	−0.298531	−	0.216895i	0.428429	−	0.903576i	$-0.359067\pi$
$409$	−6.03741	−	4.38644i	−0.298531	−	0.216895i	−0.726960	+	0.686680i	$0.759067\pi$
$410$	2.15977	+	14.2420i	0.106664	+	0.703363i
$411$	0.540608	−	0.392775i	0.0266662	−	0.0193742i
$412$	3.07942	−	4.23845i	0.151712	−	0.208814i
$413$	8.58760	−	11.8198i	0.422568	−	0.581616i
$414$	5.05769	−	3.67463i	0.248572	−	0.180598i
$415$	1.06380	−	0.533249i	0.0522200	−	0.0261761i
$416$	−0.261711	−	0.190144i	−0.0128314	−	0.00932259i
$417$	34.7956	−	11.3058i	1.70395	−	0.553647i
$418$		−	6.13671i		−	0.300156i
$419$	9.22781	+	28.4003i	0.450808	+	1.38744i	0.875987	+	0.482335i	$0.160211\pi$
$419$	9.22781	+	28.4003i	0.450808	+	1.38744i	−0.425179	+	0.905109i	$0.639789\pi$
$420$	−13.1994	−	6.83517i	−0.644064	−	0.333522i
$421$	−1.02588	+	3.15732i	−0.0499982	+	0.153879i	−0.972938	−	0.231065i	$-0.925779\pi$
$421$	−1.02588	+	3.15732i	−0.0499982	+	0.153879i	0.922940	+	0.384943i	$0.125779\pi$
$422$	−9.94561	−	3.23152i	−0.484145	−	0.157308i
$423$	0.279769	+	0.385069i	0.0136028	+	0.0187227i
$424$	−9.92570			−0.482035
$425$	16.5554	−	11.6985i	0.803053	−	0.567462i
$426$	19.9077			0.964533
$427$	27.4129	+	37.7307i	1.32661	+	1.82592i
$428$	9.96412	+	3.23754i	0.481634	+	0.156492i
$429$	1.18242	−	3.63912i	0.0570878	−	0.175698i
$430$	−5.43002	+	5.35905i	−0.261859	+	0.258436i
$431$	−4.90027	−	15.0815i	−0.236038	−	0.726450i	−0.996982	−	0.0776326i	$-0.975264\pi$
$431$	−4.90027	−	15.0815i	−0.236038	−	0.726450i	0.760944	−	0.648817i	$-0.224736\pi$
$432$			4.40396i			0.211885i
$433$	−15.9802	+	5.19228i	−0.767959	+	0.249525i	−0.666691	−	0.745334i	$-0.732290\pi$
$433$	−15.9802	+	5.19228i	−0.767959	+	0.249525i	−0.101268	+	0.994859i	$0.532290\pi$
$434$	23.4627	+	17.0467i	1.12625	+	0.818267i
$435$	−3.78913	+	7.31718i	−0.181675	+	0.350832i
$436$	8.78687	−	6.38403i	0.420815	−	0.305740i
$437$	5.13811	−	7.07200i	0.245789	−	0.338299i
$438$	11.6449	−	16.0278i	0.556413	−	0.765837i
$439$	24.0153	−	17.4481i	1.14619	−	0.832753i	0.158217	−	0.987404i	$-0.449425\pi$
$439$	24.0153	−	17.4481i	1.14619	−	0.832753i	0.987969	+	0.154651i	$0.0494254\pi$
$440$	−6.31000	+	12.1852i	−0.300817	+	0.580908i
$441$	−2.83167	−	2.05733i	−0.134841	−	0.0979680i
$442$	1.24735	−	0.405288i	0.0593303	−	0.0192776i
$443$		−	20.2016i		−	0.959807i	−0.877321	−	0.479904i	$-0.840672\pi$
$443$		−	20.2016i		−	0.959807i	0.877321	−	0.479904i	$-0.159328\pi$
$444$	1.96833	+	6.05790i	0.0934129	+	0.287495i
$445$	13.7716	−	13.5916i	0.652836	−	0.644303i
$446$	−6.25932	+	19.2642i	−0.296388	+	0.912187i
$447$	12.0833	+	3.92610i	0.571520	+	0.185698i
$448$	2.02715	+	2.79013i	0.0957736	+	0.131821i
$449$	14.6339			0.690617			0.345308	−	0.938489i	$-0.387774\pi$
$449$	14.6339			0.690617			0.345308	+	0.938489i	$0.387774\pi$
$450$	−1.06016	−	3.41508i	−0.0499765	−	0.160989i
$451$	39.5329			1.86153
$452$	−9.60359	−	13.2182i	−0.451715	−	0.621732i
$453$	−9.83111	−	3.19432i	−0.461906	−	0.150082i
$454$	−8.10882	+	24.9564i	−0.380566	+	1.17126i
$455$	−2.21528	−	1.14716i	−0.103854	−	0.0537797i
$456$	−0.595623	−	1.83314i	−0.0278926	−	0.0858447i
$457$		−	32.7403i		−	1.53153i	−0.643123	−	0.765763i	$-0.722362\pi$
$457$		−	32.7403i		−	1.53153i	0.643123	−	0.765763i	$-0.277638\pi$
$458$	−20.2879	+	6.59195i	−0.947993	+	0.308022i
$459$	−14.4450	−	10.4949i	−0.674235	−	0.489860i
$460$	−17.4741	+	8.75917i	−0.814733	+	0.408399i
$461$	18.5028	−	13.4431i	0.861762	−	0.626107i	−0.0666015	−	0.997780i	$-0.521216\pi$
$461$	18.5028	−	13.4431i	0.861762	−	0.626107i	0.928364	+	0.371673i	$0.121216\pi$
$462$	−23.9778	+	33.0026i	−1.11555	+	1.53542i
$463$	1.11992	−	1.54143i	0.0520470	−	0.0716365i	−0.782200	−	0.623027i	$-0.785903\pi$
$463$	1.11992	−	1.54143i	0.0520470	−	0.0716365i	0.834247	+	0.551391i	$0.185903\pi$
$464$	1.54673	−	1.12376i	0.0718050	−	0.0521694i
$465$	5.43412	+	35.8337i	0.252001	+	1.66175i
$466$	9.70368	+	7.05014i	0.449514	+	0.326591i
$467$	30.7684	−	9.99726i	1.42379	−	0.462618i	0.506987	−	0.861954i	$-0.330759\pi$
$467$	30.7684	−	9.99726i	1.42379	−	0.462618i	0.916805	+	0.399336i	$0.130759\pi$
$468$		−	0.231353i		−	0.0106943i
$469$	6.78124	+	20.8705i	0.313128	+	0.963710i
$470$	−0.666882	−	1.33039i	−0.0307610	−	0.0613665i
$471$	5.19232	−	15.9803i	0.239249	−	0.736334i
$472$	−4.02897	−	1.30909i	−0.185448	−	0.0602558i
$473$	12.3069	+	16.9389i	0.565870	+	0.778854i
$474$	−1.62171			−0.0744875
$475$	−2.88545	−	4.08340i	−0.132394	−	0.187359i
$476$	−13.9824			−0.640884
$477$	−4.17244	−	5.74287i	−0.191043	−	0.262948i
$478$	10.4702	+	3.40199i	0.478897	+	0.155603i
$479$	4.37395	−	13.4616i	0.199851	−	0.615077i	−0.800035	−	0.599953i	$-0.795186\pi$
$479$	4.37395	−	13.4616i	0.199851	−	0.615077i	0.999886	−	0.0151237i	$-0.00481422\pi$
$480$	−0.702217	+	4.25238i	−0.0320517	+	0.194094i
$481$	0.330349	+	1.01671i	0.0150626	+	0.0463580i
$482$		−	6.39513i		−	0.291290i
$483$	−55.2645	+	17.9565i	−2.51462	+	0.817050i
$484$	21.5677	+	15.6699i	0.980352	+	0.712267i
$485$	1.13033	+	0.186656i	0.0513254	+	0.00847562i
$486$	−5.89370	+	4.28202i	−0.267344	+	0.194237i
$487$	−20.6857	+	28.4714i	−0.937359	+	1.29016i	0.0195600	+	0.999809i	$0.493773\pi$
$487$	−20.6857	+	28.4714i	−0.937359	+	1.29016i	−0.956919	+	0.290355i	$0.906227\pi$
$488$	7.94858	−	10.9403i	0.359815	−	0.495243i
$489$	−13.5547	+	9.84808i	−0.612966	+	0.445346i
$490$	7.68721	+	7.78902i	0.347273	+	0.351872i
$491$	−5.40778	−	3.92898i	−0.244050	−	0.177312i	0.459036	−	0.888418i	$-0.348195\pi$
$491$	−5.40778	−	3.92898i	−0.244050	−	0.177312i	−0.703085	+	0.711105i	$0.748195\pi$
$492$	11.8092	−	3.83703i	0.532398	−	0.172987i
$493$			7.75127i			0.349100i
$494$	−0.0999648	−	0.307660i	−0.00449763	−	0.0138423i
$495$	−9.70272	+	1.47140i	−0.436105	+	0.0661344i
$496$	2.59859	−	7.99763i	0.116680	−	0.359104i
$497$	−33.8770	−	11.0073i	−1.51959	−	0.493745i
$498$	−0.602919	−	0.829847i	−0.0270175	−	0.0371863i
$499$	33.5994			1.50412			0.752059	−	0.659096i	$-0.229061\pi$
$499$	33.5994			1.50412			0.752059	+	0.659096i	$0.229061\pi$
$500$	1.53074	+	11.0751i	0.0684566	+	0.495292i
$501$	18.5431			0.828444
$502$	17.5454	+	24.1492i	0.783089	+	1.07783i
$503$	5.62321	+	1.82709i	0.250727	+	0.0814660i	0.431684	−	0.902025i	$-0.357920\pi$
$503$	5.62321	+	1.82709i	0.250727	+	0.0814660i	−0.180957	+	0.983491i	$0.557920\pi$
$504$	−0.762182	+	2.34575i	−0.0339503	+	0.104488i
$505$	37.9973	−	5.76222i	1.69086	−	0.256415i
$506$	16.5769	+	51.0183i	0.736931	+	2.26804i
$507$			24.8555i			1.10387i
$508$	3.76426	−	1.22308i	0.167012	−	0.0542656i
$509$	−28.9788	−	21.0543i	−1.28446	−	0.933217i	−0.284785	−	0.958591i	$-0.591922\pi$
$509$	−28.9788	−	21.0543i	−1.28446	−	0.933217i	−0.999678	+	0.0253746i	$0.991922\pi$
$510$	−12.2744	−	12.4370i	−0.543520	−	0.550718i
$511$	−28.6781	+	20.8358i	−1.26864	+	0.921723i
$512$	0.587785	−	0.809017i	0.0259767	−	0.0357538i
$513$	−2.58858	+	3.56288i	−0.114289	+	0.157305i
$514$	−23.0628	+	16.7561i	−1.01726	+	0.739080i
$515$	−11.5583	−	1.90867i	−0.509318	−	0.0841061i
$516$	5.32035	+	3.86546i	0.234215	+	0.170167i
$517$	−3.88430	+	1.26208i	−0.170831	+	0.0555064i
$518$		−	11.3971i		−	0.500758i
$519$	−7.62398	−	23.4642i	−0.334655	−	1.02996i
$520$	−0.117855	+	0.713687i	−0.00516826	+	0.0312972i
$521$	−6.20206	+	19.0880i	−0.271717	+	0.836260i	0.718352	+	0.695680i	$0.244897\pi$
$521$	−6.20206	+	19.0880i	−0.271717	+	0.836260i	−0.990069	+	0.140580i	$0.955103\pi$
$522$	1.30039	+	0.422521i	0.0569164	+	0.0184933i
$523$	14.3580	+	19.7620i	0.627829	+	0.864133i	0.997894	−	0.0648732i	$-0.0206643\pi$
$523$	14.3580	+	19.7620i	0.627829	+	0.864133i	−0.370064	+	0.929006i	$0.620664\pi$
$524$	14.3497			0.626869
$525$	−0.437278	+	33.2344i	−0.0190844	+	1.45047i
$526$	−5.04418			−0.219937
$527$	20.0397	+	27.5822i	0.872942	+	1.20150i
$528$	11.2494	+	3.65517i	0.489569	+	0.159071i
$529$	−16.5056	+	50.7990i	−0.717635	+	2.20865i
$530$	9.94580	+	19.8413i	0.432018	+	0.861852i
$531$	−0.936224	−	2.88140i	−0.0406287	−	0.125042i
$532$			3.44879i			0.149524i
$533$	1.98196	−	0.643977i	0.0858481	−	0.0278938i
$534$	−13.4935	−	9.80357i	−0.583919	−	0.424242i
$535$	−3.51251	−	23.1622i	−0.151859	−	1.00139i
$536$	5.14776	−	3.74006i	0.222349	−	0.161546i
$537$	11.1960	−	15.4099i	0.483142	−	0.664987i
$538$	6.56432	−	9.03501i	0.283008	−	0.389527i
$539$	24.2978	−	17.6534i	1.04658	−	0.760386i
$540$	8.80345	−	4.41288i	0.378840	−	0.189900i
$541$	5.86988	+	4.26471i	0.252366	+	0.183354i	0.706775	−	0.707439i	$-0.250150\pi$
$541$	5.86988	+	4.26471i	0.252366	+	0.183354i	−0.454409	+	0.890793i	$0.650150\pi$
$542$	5.87235	−	1.90804i	0.252239	−	0.0819575i
$543$			31.9128i			1.36951i
$544$	1.25285	+	3.85588i	0.0537155	+	0.165319i
$545$	−21.5663	−	11.1679i	−0.923797	−	0.478379i
$546$	−0.664512	+	2.04516i	−0.0284385	+	0.0875246i
$547$	−11.9467	−	3.88171i	−0.510802	−	0.165970i	0.0422647	−	0.999106i	$-0.486543\pi$
$547$	−11.9467	−	3.88171i	−0.510802	−	0.165970i	−0.553067	+	0.833137i	$0.686543\pi$
$548$	0.203777	+	0.280474i	0.00870491	+	0.0119813i
$549$	9.67121			0.412757
$550$	30.6809	+	0.403681i	1.30824	+	0.0172130i
$551$	1.91186			0.0814480
$552$	9.90359	+	13.6311i	0.421525	+	0.580179i
$553$	2.75966	+	0.896668i	0.117353	+	0.0381302i
$554$	6.42593	−	19.7770i	0.273012	−	0.840243i
$555$	10.1373	−	10.0048i	0.430306	−	0.424682i
$556$	5.86559	+	18.0524i	0.248756	+	0.765593i
$557$			25.6198i			1.08555i	0.839879	+	0.542773i	$0.182626\pi$
$557$			25.6198i			1.08555i	−0.839879	+	0.542773i	$0.817374\pi$
$558$	5.71968	−	1.85844i	0.242133	−	0.0786738i
$559$	0.892927	+	0.648749i	0.0377668	+	0.0274392i
$560$	3.54617	−	6.84801i	0.149853	−	0.289381i
$561$	−38.7971	+	28.1878i	−1.63802	+	1.19009i
$562$	14.1152	−	19.4280i	0.595415	−	0.819519i
$563$	6.11885	−	8.42188i	0.257879	−	0.354940i	−0.660372	−	0.750938i	$-0.729601\pi$
$563$	6.11885	−	8.42188i	0.257879	−	0.354940i	0.918251	+	0.395999i	$0.129601\pi$
$564$	−1.03781	+	0.754013i	−0.0436997	+	0.0317497i
$565$	−16.8000	+	32.4424i	−0.706780	+	1.36486i
$566$	12.4600	+	9.05272i	0.523733	+	0.380514i
$567$	34.8796	−	11.3331i	1.46480	−	0.475944i
$568$			10.3284i			0.433369i
$569$	−5.24827	−	16.1525i	−0.220019	−	0.677148i	−0.998759	−	0.0498019i	$-0.984141\pi$
$569$	−5.24827	−	16.1525i	−0.220019	−	0.677148i	0.778740	−	0.627346i	$-0.215859\pi$
$570$	−3.06759	+	3.02750i	−0.128487	+	0.126808i
$571$	−2.93325	+	9.02761i	−0.122753	+	0.377794i	−0.993485	−	0.113964i	$-0.963645\pi$
$571$	−2.93325	+	9.02761i	−0.122753	+	0.377794i	0.870732	+	0.491757i	$0.163645\pi$
$572$	1.88802	+	0.613455i	0.0789421	+	0.0256498i
$573$	−11.7252	−	16.1383i	−0.489826	−	0.674188i
$574$	−22.2172			−0.927329
$575$	35.0189	+	26.1535i	1.46039	+	1.09068i
$576$	0.715171			0.0297988
$577$	−6.83877	−	9.41276i	−0.284702	−	0.391858i	0.642582	−	0.766217i	$-0.277863\pi$
$577$	−6.83877	−	9.41276i	−0.284702	−	0.391858i	−0.927284	+	0.374358i	$0.877863\pi$
$578$	0.535034	+	0.173843i	0.0222545	+	0.00723092i
$579$	−2.29565	+	7.06529i	−0.0954040	+	0.293623i
$580$	−3.79625	−	1.96585i	−0.157631	−	0.0816274i
$581$	0.567152	+	1.74551i	0.0235294	+	0.0724162i
$582$		−	0.987529i		−	0.0409344i
$583$	57.9299	−	18.8226i	2.39921	−	0.779551i
$584$	8.31541	+	6.04150i	0.344094	+	0.249999i
$585$	−0.462471	+	0.231821i	−0.0191208	+	0.00958464i
$586$	−13.6612	+	9.92545i	−0.564339	+	0.410017i
$587$	−9.86149	+	13.5732i	−0.407027	+	0.560225i	−0.962490	−	0.271316i	$-0.912541\pi$
$587$	−9.86149	+	13.5732i	−0.407027	+	0.560225i	0.555463	+	0.831541i	$0.312541\pi$
$588$	5.54476	−	7.63171i	0.228662	−	0.314726i
$589$	6.80319	−	4.94281i	0.280321	−	0.203665i
$590$	1.42027	+	9.36559i	0.0584717	+	0.385575i
$591$	6.17795	+	4.48854i	0.254127	+	0.184634i
$592$	−3.14292	+	1.02120i	−0.129173	+	0.0419709i
$593$			10.0910i			0.414387i	0.978300	+	0.207193i	$0.0664330\pi$
$593$			10.0910i			0.414387i	−0.978300	+	0.207193i	$0.933567\pi$
$594$	−8.35143	−	25.7031i	−0.342663	−	1.05461i
$595$	14.0108	+	27.9507i	0.574385	+	1.14587i
$596$	−2.03691	+	6.26896i	−0.0834351	+	0.256787i
$597$	20.8729	+	6.78200i	0.854269	+	0.277569i
$598$	1.66214	+	2.28774i	0.0679700	+	0.0935527i
$599$	12.9131			0.527616			0.263808	−	0.964575i	$-0.415022\pi$
$599$	12.9131			0.527616			0.263808	+	0.964575i	$0.415022\pi$
$600$	9.20409	−	2.85727i	0.375755	−	0.116648i
$601$	−39.0735			−1.59384			−0.796920	−	0.604084i	$-0.793539\pi$
$601$	−39.0735			−1.59384			−0.796920	+	0.604084i	$0.793539\pi$
$602$	−6.91637	−	9.51957i	−0.281890	−	0.387989i
$603$	4.32789	+	1.40622i	0.176245	+	0.0572656i
$604$	1.65725	−	5.10051i	0.0674327	−	0.207537i
$605$	9.71245	−	58.8152i	0.394867	−	2.39118i
$606$	−10.2371	−	31.5066i	−0.415854	−	1.27987i
$607$		−	14.4926i		−	0.588238i	−0.955769	−	0.294119i	$-0.904974\pi$
$607$		−	14.4926i		−	0.588238i	0.955769	−	0.294119i	$-0.0950262\pi$
$608$	0.951057	−	0.309017i	0.0385704	−	0.0125323i
$609$	−10.2818	−	7.47017i	−0.416640	−	0.302707i
$610$	−29.8341	−	4.92666i	−1.20795	−	0.199475i
$611$	−0.174178	+	0.126548i	−0.00704648	+	0.00511957i
$612$	−1.70430	+	2.34577i	−0.0688922	+	0.0948220i
$613$	−19.5838	+	26.9548i	−0.790981	+	1.08869i	0.203004	+	0.979178i	$0.434930\pi$
$613$	−19.5838	+	26.9548i	−0.790981	+	1.08869i	−0.993985	+	0.109514i	$0.965070\pi$
$614$	17.5777	−	12.7709i	0.709378	−	0.515393i
$615$	−19.5033	−	19.7616i	−0.786447	−	0.796863i
$616$	−17.1222	−	12.4400i	−0.689873	−	0.501222i
$617$	−36.5029	+	11.8605i	−1.46955	+	0.477487i	−0.930973	−	0.365088i	$-0.881039\pi$
$617$	−36.5029	+	11.8605i	−1.46955	+	0.477487i	−0.538580	+	0.842575i	$0.681039\pi$
$618$			10.0981i			0.406205i
$619$	−11.8624	−	36.5087i	−0.476789	−	1.46741i	−0.843529	−	0.537083i	$-0.819526\pi$
$619$	−11.8624	−	36.5087i	−0.476789	−	1.46741i	0.366740	−	0.930324i	$-0.380474\pi$
$620$	−18.5910	+	2.81929i	−0.746633	+	0.113225i
$621$	11.8962	−	36.6129i	0.477380	−	1.46922i
$622$	3.93404	+	1.27825i	0.157741	+	0.0512530i
$623$	17.5413	+	24.1435i	0.702776	+	0.967288i
$624$	0.623525			0.0249610
$625$	20.6050	−	14.1574i	0.824202	−	0.566296i
$626$	8.81805			0.352440
$627$	6.95254	+	9.56935i	0.277658	+	0.382163i
$628$	8.29079	+	2.69384i	0.330838	+	0.107496i
$629$	4.14024	−	12.7424i	0.165082	−	0.508071i
$630$	5.45286	−	0.826915i	0.217247	−	0.0329451i
$631$	−5.86369	−	18.0466i	−0.233430	−	0.718423i	−0.997326	−	0.0730839i	$-0.976716\pi$
$631$	−5.86369	−	18.0466i	−0.233430	−	0.718423i	0.763896	−	0.645339i	$-0.223284\pi$
$632$		−	0.841363i		−	0.0334676i
$633$	19.1699	−	6.22869i	0.761937	−	0.247568i
$634$	14.7237	+	10.6974i	0.584751	+	0.424847i
$635$	−6.21682	−	6.29915i	−0.246707	−	0.249974i
$636$	15.4778	−	11.2453i	0.613733	−	0.445903i
$637$	0.930589	−	1.28085i	0.0368713	−	0.0507490i
$638$	−6.89621	+	9.49182i	−0.273023	+	0.375785i
$639$	−5.97585	+	4.34171i	−0.236401	+	0.171755i
$640$	−2.20619	−	0.364319i	−0.0872073	−	0.0144010i
$641$	−21.2588	−	15.4455i	−0.839674	−	0.610059i	0.0826057	−	0.996582i	$-0.473676\pi$
$641$	−21.2588	−	15.4455i	−0.839674	−	0.610059i	−0.922280	+	0.386524i	$0.873676\pi$
$642$	−19.2056	+	6.24029i	−0.757986	+	0.246285i
$643$			2.47548i			0.0976235i	0.998808	+	0.0488117i	$0.0155434\pi$
$643$			2.47548i			0.0976235i	−0.998808	+	0.0488117i	$0.984457\pi$
$644$	−9.31607	−	28.6719i	−0.367105	−	1.12983i
$645$	2.39588	−	14.5086i	0.0943376	−	0.571276i
$646$	−1.25285	+	3.85588i	−0.0492928	+	0.151707i
$647$	−19.6658	−	6.38981i	−0.773142	−	0.251209i	−0.104233	−	0.994553i	$-0.533239\pi$
$647$	−19.6658	−	6.38981i	−0.773142	−	0.251209i	−0.668910	+	0.743344i	$0.733239\pi$
$648$	−6.25053	−	8.60312i	−0.245544	−	0.337963i
$649$	25.9970			1.02047
$650$	1.54474	−	0.479542i	0.0605898	−	0.0188092i
$651$	−55.8998			−2.19089
$652$	−5.10931	−	7.03236i	−0.200096	−	0.275409i
$653$	9.52838	+	3.09596i	0.372874	+	0.121154i	0.489458	−	0.872027i	$-0.337194\pi$
$653$	9.52838	+	3.09596i	0.372874	+	0.121154i	−0.116584	+	0.993181i	$0.537194\pi$
$654$	−6.46917	+	19.9100i	−0.252964	+	0.778544i
$655$	−14.3788	−	28.6848i	−0.561825	−	1.12081i
$656$	1.99070	+	6.12675i	0.0777238	+	0.239209i
$657$			7.35083i			0.286783i
$658$	2.18295	−	0.709282i	0.0851001	−	0.0276507i
$659$	−13.8608	−	10.0705i	−0.539941	−	0.392290i	0.284122	−	0.958788i	$-0.408298\pi$
$659$	−13.8608	−	10.0705i	−0.539941	−	0.392290i	−0.824063	+	0.566498i	$0.808298\pi$
$660$	−3.96560	−	26.1501i	−0.154361	−	1.01789i
$661$	30.6204	−	22.2470i	1.19100	−	0.865310i	0.197627	−	0.980277i	$-0.436676\pi$
$661$	30.6204	−	22.2470i	1.19100	−	0.865310i	0.993369	+	0.114968i	$0.0366764\pi$
$662$	13.8378	−	19.0461i	0.537822	−	0.740248i
$663$	−1.48590	+	2.04517i	−0.0577076	+	0.0794277i
$664$	0.430535	−	0.312802i	0.0167080	−	0.0121391i
$665$	6.89407	−	3.45577i	0.267341	−	0.134009i
$666$	−1.91203	−	1.38917i	−0.0740896	−	0.0538292i
$667$	−15.8945	+	5.16444i	−0.615437	+	0.199968i
$668$			9.62039i			0.372224i
$669$	−12.0647	−	37.1314i	−0.466449	−	1.43558i
$670$	−12.6345	−	6.54265i	−0.488114	−	0.252765i
$671$	−25.6442	+	78.9246i	−0.989982	+	3.04685i
$672$	−6.32211	−	2.05418i	−0.243881	−	0.0792416i
$673$	14.5350	+	20.0057i	0.560282	+	0.771163i	0.991362	−	0.131151i	$-0.0418673\pi$
$673$	14.5350	+	20.0057i	0.560282	+	0.771163i	−0.431080	+	0.902314i	$0.641867\pi$
$674$	−7.80921			−0.300800
$675$	−17.6426	−	13.1762i	−0.679062	−	0.507150i
$676$	−12.8954			−0.495975
$677$	−6.57280	−	9.04668i	−0.252613	−	0.347692i	0.663811	−	0.747900i	$-0.268938\pi$
$677$	−6.57280	−	9.04668i	−0.252613	−	0.347692i	−0.916424	+	0.400208i	$0.868938\pi$
$678$	29.9510	+	9.73166i	1.15026	+	0.373742i
$679$	−0.546021	+	1.68048i	−0.0209543	+	0.0644909i
$680$	6.45246	−	6.36812i	0.247440	−	0.244206i
$681$	−15.6296	−	48.1029i	−0.598926	−	1.84331i
$682$			51.6048i			1.97605i
$683$	−48.3933	+	15.7239i	−1.85172	+	0.601660i	−0.855200	+	0.518299i	$0.826565\pi$
$683$	−48.3933	+	15.7239i	−1.85172	+	0.601660i	−0.996519	+	0.0833610i	$0.973435\pi$
$684$	0.578586	+	0.420367i	0.0221228	+	0.0160731i
$685$	0.356475	−	0.688389i	0.0136202	−	0.0263020i
$686$	5.87567	−	4.26893i	0.224334	−	0.162988i
$687$	24.1679	−	33.2643i	0.922065	−	1.26911i
$688$	−2.00545	+	2.76027i	−0.0764571	+	0.105234i
$689$	2.59767	−	1.88732i	0.0989632	−	0.0719010i
$690$	17.3248	−	33.4559i	0.659543	−	1.27364i
$691$	2.34416	+	1.70313i	0.0891761	+	0.0647902i	0.631480	−	0.775392i	$-0.282448\pi$
$691$	2.34416	+	1.70313i	0.0891761	+	0.0647902i	−0.542304	+	0.840182i	$0.682448\pi$
$692$	12.1735	−	3.95542i	0.462768	−	0.150362i
$693$		−	15.1360i		−	0.574970i
$694$	−2.17413	−	6.69128i	−0.0825288	−	0.253997i
$695$	30.2091	−	29.8142i	1.14589	−	1.13092i
$696$	−1.13875	+	3.50471i	−0.0431642	+	0.132846i
$697$	−24.8397	−	8.07092i	−0.940872	−	0.305708i
$698$	−5.41699	−	7.45585i	−0.205036	−	0.282208i
$699$	−23.1190			−0.874439
$700$	−17.2424	−	0.226866i	−0.651703	−	0.00857471i
$701$	7.38297			0.278851			0.139426	−	0.990233i	$-0.455474\pi$
$701$	7.38297			0.278851			0.139426	+	0.990233i	$0.455474\pi$
$702$	−0.837388	−	1.15257i	−0.0316052	−	0.0435008i
$703$	−3.14292	−	1.02120i	−0.118537	−	0.0385151i
$704$	−1.89635	+	5.83636i	−0.0714713	+	0.219966i
$705$	2.54717	+	1.31903i	0.0959321	+	0.0496774i
$706$	6.57534	+	20.2368i	0.247466	+	0.761623i
$707$			59.2750i			2.22926i
$708$	7.76574	−	2.52324i	0.291854	−	0.0948293i
$709$	9.60351	+	6.97736i	0.360667	+	0.262040i	0.753330	−	0.657642i	$-0.228446\pi$
$709$	9.60351	+	6.97736i	0.360667	+	0.262040i	−0.392663	+	0.919682i	$0.628446\pi$
$710$	20.6463	−	10.3493i	0.774842	−	0.388402i
$711$	0.486800	−	0.353681i	0.0182564	−	0.0132641i
$712$	5.08621	−	7.00057i	0.190614	−	0.262358i
$713$	−43.2074	+	59.4699i	−1.61813	+	2.22716i
$714$	21.8037	−	15.8413i	0.815983	−	0.592846i
$715$	−0.665556	−	4.38882i	−0.0248904	−	0.164133i
$716$	7.99487	+	5.80861i	0.298782	+	0.217078i
$717$	−20.1811	+	6.55725i	−0.753679	+	0.244885i
$718$			8.14555i			0.303989i
$719$	15.7739	+	48.5472i	0.588268	+	1.81050i	0.585729	+	0.810507i	$0.300808\pi$
$719$	15.7739	+	48.5472i	0.588268	+	1.81050i	0.00253990	+	0.999997i	$0.499192\pi$
$720$	−0.716620	−	1.42962i	−0.0267068	−	0.0532787i
$721$	5.58339	−	17.1839i	0.207936	−	0.639962i
$722$	0.951057	+	0.309017i	0.0353947	+	0.0115004i
$723$	7.24531	+	9.97232i	0.269456	+	0.370875i
$724$	−16.5568			−0.615327
$725$	−0.125765	+	9.55847i	−0.00467078	+	0.354993i
$726$	−51.3850			−1.90708
$727$	−17.8894	−	24.6226i	−0.663480	−	0.913201i	0.336111	−	0.941822i	$-0.390888\pi$
$727$	−17.8894	−	24.6226i	−0.663480	−	0.913201i	−0.999590	+	0.0286211i	$0.990888\pi$
$728$	−1.06105	−	0.344757i	−0.0393253	−	0.0127775i
$729$	−5.51918	+	16.9863i	−0.204414	+	0.629121i
$730$	3.74462	−	22.6761i	0.138595	−	0.839281i
$731$	−4.27457	−	13.1558i	−0.158101	−	0.486584i
$732$			26.0651i			0.963396i
$733$	17.0111	−	5.52723i	0.628318	−	0.204153i	0.0224881	−	0.999747i	$-0.492841\pi$
$733$	17.0111	−	5.52723i	0.628318	−	0.204153i	0.605830	+	0.795594i	$0.292841\pi$
$734$	−20.0347	−	14.5561i	−0.739496	−	0.537275i
$735$	−20.8117	−	3.43673i	−0.767650	−	0.126766i
$736$	−7.07200	+	5.13811i	−0.260677	+	0.189393i
$737$	−22.9517	+	31.5903i	−0.845436	+	1.16364i
$738$	−2.70802	+	3.72727i	−0.0996837	+	0.137203i
$739$	0.876625	−	0.636906i	0.0322472	−	0.0234290i	−0.571545	−	0.820571i	$-0.693656\pi$
$739$	0.876625	−	0.636906i	0.0322472	−	0.0234290i	0.603792	+	0.797142i	$0.293656\pi$
$740$	5.19064	+	5.25938i	0.190812	+	0.193339i
$741$	0.504443	+	0.366499i	0.0185312	+	0.0134637i
$742$	−32.5562	+	10.5781i	−1.19518	+	0.388336i
$743$		−	8.85622i		−	0.324903i	−0.986717	−	0.162452i	$-0.948060\pi$
$743$		−	8.85622i		−	0.324903i	0.986717	−	0.162452i	$-0.0519402\pi$
$744$	5.00872	+	15.4153i	0.183629	+	0.565151i
$745$	14.5726	−	2.20991i	0.533899	−	0.0809647i
$746$	0.676784	−	2.08293i	0.0247788	−	0.0762614i
$747$	0.361966	+	0.117610i	0.0132436	+	0.00430312i
$748$	−14.6242	−	20.1284i	−0.534713	−	0.735969i
$749$	36.1326			1.32026
$750$	−14.9344	−	15.5358i	−0.545326	−	0.567287i
$751$	16.1137			0.587996			0.293998	−	0.955806i	$-0.405014\pi$
$751$	16.1137			0.587996			0.293998	+	0.955806i	$0.405014\pi$
$752$	−0.391191	−	0.538429i	−0.0142653	−	0.0196345i
$753$	−54.7193	−	17.7794i	−1.99408	−	0.647916i
$754$	−0.191119	+	0.588203i	−0.00696013	+	0.0214211i
$755$	−11.8565	+	1.79801i	−0.431500	+	0.0654362i
$756$	4.69344	+	14.4449i	0.170699	+	0.525357i
$757$		−	2.07820i		−	0.0755333i	−0.999287	−	0.0377667i	$-0.987976\pi$
$757$		−	2.07820i		−	0.0755333i	0.999287	−	0.0377667i	$-0.0120244\pi$
$758$	24.3792	−	7.92130i	0.885494	−	0.287714i
$759$	−83.6502	−	60.7754i	−3.03631	−	2.20601i
$760$	−1.57070	−	1.59151i	−0.0569754	−	0.0577300i
$761$	−22.3756	+	16.2568i	−0.811113	+	0.589308i	−0.914153	−	0.405369i	$-0.867143\pi$
$761$	−22.3756	+	16.2568i	−0.811113	+	0.589308i	0.103040	+	0.994677i	$0.467143\pi$
$762$	−4.48417	+	6.17193i	−0.162444	+	0.223585i
$763$	22.0172	−	30.3040i	0.797075	−	1.09708i
$764$	8.37277	−	6.08317i	0.302916	−	0.220081i
$765$	6.39690	+	1.05635i	0.231281	+	0.0381925i
$766$	−16.8863	−	12.2686i	−0.610127	−	0.443283i
$767$	1.30334	−	0.423481i	0.0470609	−	0.0152910i
$768$			1.92748i			0.0695519i
$769$	1.79337	+	5.51944i	0.0646707	+	0.199036i	0.978171	−	0.207803i	$-0.0666311\pi$
$769$	1.79337	+	5.51944i	0.0646707	+	0.199036i	−0.913500	+	0.406839i	$0.866631\pi$
$770$	−7.71051	+	46.6922i	−0.277868	+	1.68267i
$771$	16.9796	−	52.2577i	0.611504	−	1.88201i
$772$	−3.66556	−	1.19101i	−0.131926	−	0.0428655i
$773$	17.3137	+	23.8303i	0.622731	+	0.857116i	0.997548	−	0.0699828i	$-0.0222944\pi$
$773$	17.3137	+	23.8303i	0.622731	+	0.857116i	−0.374817	+	0.927099i	$0.622294\pi$
$774$	−2.44008			−0.0877067
$775$	24.2644	+	34.3382i	0.871602	+	1.23346i
$776$	0.512343			0.0183920
$777$	12.9122	+	17.7721i	0.463223	+	0.637572i
$778$	32.0130	+	10.4016i	1.14772	+	0.372917i
$779$	−1.99070	+	6.12675i	−0.0713242	+	0.219513i
$780$	−0.624788	−	1.24642i	−0.0223710	−	0.0446289i
$781$	−19.5862	−	60.2801i	−0.700849	−	2.15699i
$782$		−	35.4406i		−	1.26735i
$783$	8.00766	−	2.60185i	0.286170	−	0.0929824i
$784$	3.95943	+	2.87669i	0.141408	+	0.102739i
$785$	−2.92263	−	19.2725i	−0.104313	−	0.687864i
$786$	−22.3764	+	16.2574i	−0.798139	+	0.579882i
$787$	27.3090	−	37.5876i	0.973461	−	1.33985i	0.0331820	−	0.999449i	$-0.489436\pi$
$787$	27.3090	−	37.5876i	0.973461	−	1.33985i	0.940279	−	0.340405i	$-0.110564\pi$
$788$	−2.32871	+	3.20520i	−0.0829570	+	0.114180i
$789$	7.86570	−	5.71477i	0.280026	−	0.203451i
$790$	−1.68187	+	0.843067i	−0.0598383	+	0.0299950i
$791$	−45.5868	−	33.1207i	−1.62088	−	1.17764i
$792$	−4.17399	+	1.35621i	−0.148316	+	0.0481909i
$793$			4.37457i			0.155346i
$794$	0.956574	+	2.94403i	0.0339475	+	0.104480i
$795$	−37.9882	−	19.6718i	−1.34730	−	0.697687i
$796$	−3.51859	+	10.8291i	−0.124713	+	0.383827i
$797$	26.8829	+	8.73478i	0.952240	+	0.309402i	0.743626	−	0.668596i	$-0.233105\pi$
$797$	26.8829	+	8.73478i	0.952240	+	0.309402i	0.208615	+	0.977998i	$0.433105\pi$
$798$	−3.90728	−	5.37791i	−0.138316	−	0.190376i
$799$	2.69828			0.0954584
$800$	1.48239	+	4.77520i	0.0524104	+	0.168829i
$801$	6.18851			0.218660
$802$	−18.6767	−	25.7063i	−0.659498	−	0.907721i
$803$	−59.9885	−	19.4914i	−2.11695	−	0.687838i
$804$	−3.78994	+	11.6642i	−0.133661	+	0.411366i
$805$	−47.9798	+	47.3527i	−1.69107	+	1.66896i
$806$	0.840625	+	2.58718i	0.0296097	+	0.0911294i
$807$			21.5259i			0.757746i
$808$	16.3460	−	5.31114i	0.575050	−	0.186845i
$809$	−21.7528	−	15.8043i	−0.764786	−	0.555650i	0.135588	−	0.990765i	$-0.456708\pi$
$809$	−21.7528	−	15.8043i	−0.764786	−	0.555650i	−0.900375	+	0.435116i	$0.856708\pi$
$810$	−10.9343	+	21.1153i	−0.384193	+	0.741915i
$811$	36.1829	−	26.2884i	1.27055	−	0.923112i	0.271330	−	0.962486i	$-0.412537\pi$
$811$	36.1829	−	26.2884i	1.27055	−	0.923112i	0.999225	+	0.0393748i	$0.0125366\pi$
$812$	3.87562	−	5.33433i	0.136008	−	0.187198i
$813$	−6.99542	+	9.62837i	−0.245340	+	0.337682i
$814$	16.4066	−	11.9201i	0.575052	−	0.417800i
$815$	−8.93794	+	17.2600i	−0.313082	+	0.604593i
$816$	−6.32214	−	4.59330i	−0.221319	−	0.160798i
$817$	−3.24489	+	1.05433i	−0.113524	+	0.0368863i
$818$			7.46265i			0.260925i
$819$	−0.246560	−	0.758835i	−0.00861552	−	0.0265158i
$820$	10.2525	−	10.1185i	0.358034	−	0.353355i
$821$	−15.5363	+	47.8158i	−0.542220	+	1.66878i	0.185289	+	0.982684i	$0.440678\pi$
$821$	−15.5363	+	47.8158i	−0.542220	+	1.66878i	−0.727509	+	0.686098i	$0.759322\pi$
$822$	−0.635523	−	0.206494i	−0.0221664	−	0.00720231i
$823$	12.7964	+	17.6128i	0.446055	+	0.613942i	0.971544	−	0.236858i	$-0.0761176\pi$
$823$	12.7964	+	17.6128i	0.446055	+	0.613942i	−0.525489	+	0.850800i	$0.676118\pi$
$824$	−5.23901			−0.182510
$825$	−48.3000	+	34.1302i	−1.68159	+	1.18826i
$826$	−14.6101			−0.508351
$827$	3.48471	+	4.79629i	0.121175	+	0.166783i	0.865295	−	0.501263i	$-0.167131\pi$
$827$	3.48471	+	4.79629i	0.121175	+	0.166783i	−0.744120	+	0.668046i	$0.767131\pi$
$828$	−5.94567	−	1.93187i	−0.206626	−	0.0671370i
$829$	11.9211	−	36.6894i	0.414037	−	1.27428i	−0.499072	−	0.866561i	$-0.666326\pi$
$829$	11.9211	−	36.6894i	0.414037	−	1.27428i	0.913109	−	0.407715i	$-0.133674\pi$
$830$	−1.05669	−	0.547198i	−0.0366784	−	0.0189935i
$831$	12.3858	+	38.1197i	0.429660	+	1.32236i
$832$			0.323493i			0.0112151i
$833$	−18.8711	+	6.13160i	−0.653846	+	0.212447i
$834$	−29.5989	−	21.5049i	−1.02493	−	0.744653i
$835$	19.2310	−	9.63987i	0.665517	−	0.333601i
$836$	−4.96470	+	3.60707i	−0.171708	+	0.124753i
$837$	21.7679	−	29.9610i	0.752409	−	1.03560i
$838$	17.5523	−	24.1587i	0.606335	−	0.834549i
$839$	19.9540	−	14.4974i	0.688889	−	0.500507i	−0.187406	−	0.982283i	$-0.560008\pi$
$839$	19.9540	−	14.4974i	0.688889	−	0.500507i	0.876295	+	0.481775i	$0.160008\pi$
$840$	2.22864	+	14.6961i	0.0768954	+	0.507065i
$841$	20.5044	+	14.8973i	0.707047	+	0.513700i
$842$	3.15732	−	1.02588i	0.108809	−	0.0353540i
$843$			46.2870i			1.59421i
$844$	3.23152	+	9.94561i	0.111234	+	0.342342i
$845$	12.9215	+	25.7776i	0.444512	+	0.886777i
$846$	0.147083	−	0.452675i	0.00505682	−	0.0155633i
$847$	87.4419	+	28.4116i	3.00454	+	0.976234i
$848$	5.83418	+	8.03006i	0.200347	+	0.275753i
$849$	−29.6859			−1.01882
$850$	−19.1953	−	6.51736i	−0.658394	−	0.223543i
$851$	28.8876			0.990253
$852$	−11.7015	−	16.1057i	−0.400886	−	0.551772i
$853$	7.37726	+	2.39702i	0.252593	+	0.0820723i	0.432576	−	0.901597i	$-0.357605\pi$
$853$	7.37726	+	2.39702i	0.252593	+	0.0820723i	−0.179984	+	0.983670i	$0.557605\pi$
$854$	14.4118	−	44.3551i	0.493163	−	1.51780i
$855$	0.260550	−	1.57780i	0.00891064	−	0.0539597i
$856$	−3.23754	−	9.96412i	−0.110657	−	0.340567i
$857$			7.93503i			0.271055i	0.990774	+	0.135528i	$0.0432730\pi$
$857$			7.93503i			0.271055i	−0.990774	+	0.135528i	$0.956727\pi$
$858$	−3.63912	+	1.18242i	−0.124237	+	0.0403672i
$859$	8.67235	+	6.30083i	0.295897	+	0.214982i	0.725821	−	0.687883i	$-0.241460\pi$
$859$	8.67235	+	6.30083i	0.295897	+	0.214982i	−0.429925	+	0.902865i	$0.641460\pi$
$860$	7.52725	+	1.24301i	0.256677	+	0.0423863i
$861$	34.6447	−	25.1708i	1.18069	−	0.857820i
$862$	−9.32088	+	12.8291i	−0.317470	+	0.436960i
$863$	−15.9684	+	21.9786i	−0.543570	+	0.748160i	−0.989122	−	0.147096i	$-0.953007\pi$
$863$	−15.9684	+	21.9786i	−0.543570	+	0.748160i	0.445552	+	0.895256i	$0.353007\pi$
$864$	3.56288	−	2.58858i	0.121212	−	0.0880653i
$865$	−20.1050	−	20.3713i	−0.683590	−	0.692644i
$866$	13.5936	+	9.87631i	0.461928	+	0.335611i
$867$	−1.03127	+	0.335079i	−0.0350236	+	0.0113799i
$868$		−	29.0015i		−	0.984377i
$869$	1.59552	+	4.91049i	0.0541242	+	0.166577i
$870$	8.14692	−	1.23546i	0.276206	−	0.0418862i
$871$	−0.636074	+	1.95763i	−0.0215525	+	0.0663319i
$872$	−10.3296	−	3.35629i	−0.349804	−	0.113658i
$873$	0.215372	+	0.296434i	0.00728924	+	0.0100328i
$874$	−8.74147			−0.295685
$875$	16.8239	+	34.6947i	0.568750	+	1.17290i
$876$	−19.8114			−0.669366
$877$	−18.9819	−	26.1263i	−0.640972	−	0.882222i	0.357695	−	0.933838i	$-0.383563\pi$
$877$	−18.9819	−	26.1263i	−0.640972	−	0.882222i	−0.998667	+	0.0516163i	$0.983563\pi$
$878$	−28.2316	−	9.17302i	−0.952772	−	0.309574i
$879$	10.0578	−	30.9548i	0.339241	−	1.04408i
$880$	13.5670	−	2.05741i	0.457343	−	0.0693551i
$881$	−1.95305	−	6.01086i	−0.0657998	−	0.202511i	0.912751	−	0.408516i	$-0.133954\pi$
$881$	−1.95305	−	6.01086i	−0.0657998	−	0.202511i	−0.978551	+	0.206005i	$0.933954\pi$
$882$			3.50013i			0.117856i
$883$	−6.13282	+	1.99268i	−0.206386	+	0.0670589i	−0.410386	−	0.911912i	$-0.634606\pi$
$883$	−6.13282	+	1.99268i	−0.206386	+	0.0670589i	0.204000	+	0.978971i	$0.434606\pi$
$884$	−1.06106	−	0.770904i	−0.0356873	−	0.0259283i
$885$	−12.8254	−	12.9953i	−0.431121	−	0.436831i
$886$	−16.3434	+	11.8742i	−0.549069	+	0.398922i
$887$	8.38679	−	11.5434i	0.281601	−	0.387590i	−0.644662	−	0.764467i	$-0.723002\pi$
$887$	8.38679	−	11.5434i	0.281601	−	0.387590i	0.926263	+	0.376877i	$0.123002\pi$
$888$	3.74399	−	5.15316i	0.125640	−	0.172929i
$889$	11.0433	−	8.02340i	0.370379	−	0.269096i
$890$	−19.0906	−	3.15252i	−0.639917	−	0.105673i
$891$	52.7949	+	38.3577i	1.76869	+	1.28503i
$892$	19.2642	−	6.25932i	0.645014	−	0.209578i
$893$		−	0.665534i		−	0.0222713i
$894$	−3.92610	−	12.0833i	−0.131308	−	0.404126i
$895$	3.60027	−	21.8020i	0.120344	−	0.728761i
$896$	1.06573	−	3.27999i	0.0356036	−	0.109577i
$897$	−5.18376	−	1.68431i	−0.173081	−	0.0562373i
$898$	−8.60159	−	11.8391i	−0.287039	−	0.395075i
$899$	−16.0772			−0.536206
$900$	−2.13971	+	2.86503i	−0.0713238	+	0.0955009i
$901$	−40.2419			−1.34065
$902$	−23.2369	−	31.9828i	−0.773703	−	1.06491i
$903$	21.5703	+	7.00860i	0.717813	+	0.233232i
$904$	−5.04891	+	15.5389i	−0.167924	+	0.516817i
$905$	16.5903	+	33.0967i	0.551480	+	1.10017i
$906$	3.19432	+	9.83111i	0.106124	+	0.326617i
$907$			57.1863i			1.89884i	0.314007	+	0.949421i	$0.398328\pi$
$907$			57.1863i			1.89884i	−0.314007	+	0.949421i	$0.601672\pi$
$908$	24.9564	−	8.10882i	0.828206	−	0.269101i
$909$	9.94427	+	7.22494i	0.329831	+	0.239636i
$910$	0.374038	+	2.46649i	0.0123992	+	0.0817632i
$911$	−44.7222	+	32.4926i	−1.48171	+	1.07653i	−0.504715	+	0.863286i	$0.668402\pi$
$911$	−44.7222	+	32.4926i	−1.48171	+	1.07653i	−0.976999	+	0.213242i	$0.931598\pi$
$912$	−1.13294	+	1.55936i	−0.0375155	+	0.0516356i
$913$	−1.91958	+	2.64207i	−0.0635287	+	0.0874397i
$914$	−26.4874	+	19.2442i	−0.876126	+	0.636543i
$915$	52.1039	−	26.1179i	1.72250	−	0.863432i
$916$	17.2580	+	12.5386i	0.570219	+	0.414288i
$917$	47.0668	−	15.2929i	1.55428	−	0.505018i
$918$			17.8550i			0.589303i
$919$	−13.5838	−	41.8068i	−0.448090	−	1.37908i	−0.879060	−	0.476712i	$-0.841828\pi$
$919$	−13.5838	−	41.8068i	−0.448090	−	1.37908i	0.430970	−	0.902366i	$-0.358172\pi$
$920$	17.3573	+	8.98831i	0.572254	+	0.296336i
$921$	−12.9412	+	39.8290i	−0.426428	+	1.31241i
$922$	−21.7514	−	7.06745i	−0.716343	−	0.232754i
$923$	−1.96388	−	2.70305i	−0.0646420	−	0.0889721i
$924$	40.7935			1.34201
$925$	5.31228	−	15.6460i	0.174667	−	0.514439i
$926$	−1.90532			−0.0626126
$927$	−2.20231	−	3.03122i	−0.0723333	−	0.0995583i
$928$	−1.81829	−	0.590797i	−0.0596882	−	0.0193939i
$929$	11.2033	−	34.4802i	0.367568	−	1.13126i	−0.580789	−	0.814054i	$-0.697256\pi$
$929$	11.2033	−	34.4802i	0.367568	−	1.13126i	0.948357	−	0.317205i	$-0.102744\pi$
$930$	25.7960	−	25.4588i	0.845885	−	0.834828i
$931$	1.51237	+	4.65458i	0.0495658	+	0.152548i
$932$		−	11.9944i		−	0.392890i
$933$	−7.58277	+	2.46379i	−0.248249	+	0.0806609i
$934$	−26.1732	−	19.0159i	−0.856412	−	0.622220i
$935$	−25.5827	+	49.4027i	−0.836643	+	1.61564i
$936$	−0.187168	+	0.135986i	−0.00611779	+	0.00444483i
$937$	−5.74127	+	7.90218i	−0.187559	+	0.258153i	−0.892433	−	0.451179i	$-0.851003\pi$
$937$	−5.74127	+	7.90218i	−0.187559	+	0.258153i	0.704874	+	0.709332i	$0.251003\pi$
$938$	12.8987	−	17.7535i	0.421157	−	0.579672i
$939$	−13.7505	+	9.99035i	−0.448732	+	0.326023i
$940$	−0.684328	+	1.32151i	−0.0223203	+	0.0431027i
$941$	−4.22870	−	3.07233i	−0.137852	−	0.100155i	0.516722	−	0.856153i	$-0.327152\pi$
$941$	−4.22870	−	3.07233i	−0.137852	−	0.100155i	−0.654574	+	0.755998i	$0.727152\pi$
$942$	−15.9803	+	5.19232i	−0.520667	+	0.169175i
$943$		−	56.3129i		−	1.83380i
$944$	1.30909	+	4.02897i	0.0426073	+	0.131132i
$945$	24.1723	−	23.8563i	0.786324	−	0.776046i
$946$	6.47010	−	19.9129i	0.210361	−	0.647425i
$947$	47.9412	+	15.5770i	1.55788	+	0.506186i	0.956240	−	0.292583i	$-0.0945147\pi$
$947$	47.9412	+	15.5770i	1.55788	+	0.506186i	0.601639	+	0.798768i	$0.294515\pi$
$948$	0.953216	+	1.31199i	0.0309590	+	0.0426114i
$949$	−3.32499			−0.107934
$950$	−1.60751	+	4.73454i	−0.0521546	+	0.153609i
$951$	−35.0790			−1.13752
$952$	8.21868	+	11.3120i	0.266369	+	0.366625i
$953$	45.5286	+	14.7931i	1.47482	+	0.479197i	0.932560	−	0.361016i	$-0.117570\pi$
$953$	45.5286	+	14.7931i	1.47482	+	0.479197i	0.542257	+	0.840213i	$0.317570\pi$
$954$	−2.19358	+	6.75115i	−0.0710198	+	0.218576i
$955$	−20.5499	−	10.6416i	−0.664979	−	0.344353i
$956$	−3.40199	−	10.4702i	−0.110028	−	0.338632i
$957$		−	22.6142i		−	0.731013i
$958$	−13.4616	+	4.37395i	−0.434925	+	0.141316i
$959$	0.967296	+	0.702782i	0.0312356	+	0.0226940i
$960$	3.85300	−	1.93138i	0.124355	−	0.0623351i
$961$	−32.1299	+	23.3437i	−1.03645	+	0.753024i
$962$	0.628362	−	0.864866i	0.0202592	−	0.0278844i
$963$	4.40414	−	6.06179i	0.141922	−	0.195338i
$964$	−5.17377	+	3.75896i	−0.166636	+	0.121068i
$965$	1.29217	+	8.52083i	0.0415963	+	0.274295i
$966$	47.0108	+	34.1553i	1.51255	+	1.09893i
$967$	−5.71358	+	1.85646i	−0.183736	+	0.0596996i	−0.399440	−	0.916759i	$-0.630795\pi$
$967$	−5.71358	+	1.85646i	−0.183736	+	0.0596996i	0.215704	+	0.976459i	$0.430795\pi$
$968$		−	26.6592i		−	0.856859i
$969$	−2.41484	−	7.43212i	−0.0775759	−	0.238754i
$970$	−0.513380	−	1.02417i	−0.0164837	−	0.0328840i
$971$	−8.42032	+	25.9151i	−0.270221	+	0.831655i	0.720223	+	0.693742i	$0.244039\pi$
$971$	−8.42032	+	25.9151i	−0.270221	+	0.831655i	−0.990444	+	0.137913i	$0.955961\pi$
$972$	6.92846	+	2.25119i	0.222230	+	0.0722071i
$973$	38.4781	+	52.9606i	1.23355	+	1.69784i
$974$	35.1926			1.12764
$975$	−1.86552	+	2.49789i	−0.0597444	+	0.0799964i
$976$	−13.5229			−0.432858
$977$	−5.98304	−	8.23495i	−0.191414	−	0.263459i	0.702513	−	0.711671i	$-0.252061\pi$
$977$	−5.98304	−	8.23495i	−0.191414	−	0.263459i	−0.893928	+	0.448211i	$0.852061\pi$
$978$	15.9345	+	5.17744i	0.509530	+	0.165556i
$979$	−16.4094	+	50.5031i	−0.524448	+	1.61409i
$980$	1.78302	−	10.7974i	0.0569565	−	0.344909i
$981$	−2.40032	−	7.38742i	−0.0766363	−	0.235862i
$982$			6.68438i			0.213307i
$983$	21.7569	−	7.06925i	0.693938	−	0.225474i	0.0592506	−	0.998243i	$-0.481129\pi$
$983$	21.7569	−	7.06925i	0.693938	−	0.225474i	0.634687	+	0.772769i	$0.281129\pi$
$984$	−10.0455	−	7.29847i	−0.320238	−	0.232667i
$985$	8.74058	+	1.44337i	0.278498	+	0.0459897i
$986$	6.27091	−	4.55609i	0.199707	−	0.145095i
$987$	−2.60043	+	3.57918i	−0.0827725	+	0.113927i
$988$	−0.190144	+	0.261711i	−0.00604930	+	0.00832614i
$989$	24.1288	−	17.5306i	0.767251	−	0.557440i
$990$	6.89350	+	6.98480i	0.219090	+	0.221991i
$991$	−17.6537	−	12.8262i	−0.560788	−	0.407436i	0.270959	−	0.962591i	$-0.412659\pi$
$991$	−17.6537	−	12.8262i	−0.560788	−	0.407436i	−0.831747	+	0.555154i	$0.812659\pi$
$992$	−7.99763	+	2.59859i	−0.253925	+	0.0825052i
$993$			45.3772i			1.44000i
$994$	11.0073	+	33.8770i	0.349130	+	1.07451i
$995$	25.1729	−	3.81743i	0.798036	−	0.121021i
$996$	−0.316973	+	0.975544i	−0.0100437	+	0.0309113i
$997$	−1.66009	−	0.539395i	−0.0525755	−	0.0170828i	0.282611	−	0.959235i	$-0.408799\pi$
$997$	−1.66009	−	0.539395i	−0.0525755	−	0.0170828i	−0.335187	+	0.942152i	$0.608799\pi$
$998$	−19.7493	−	27.1825i	−0.625152	−	0.860448i
$999$	−14.5536			−0.460455

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	950.2.n.b.39.11	✓	96
25.9	even	10	inner	950.2.n.b.609.11	yes	96

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
950.2.n.b.39.11	✓	96	1.1	even	1	trivial
950.2.n.b.609.11	yes	96	25.9	even	10	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:	\( N \)	\(=\)	\( 950 = 2 \cdot 5^{2} \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	950.n (of order \(10\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.587785 - 0.809017i) q^{2} +(1.83314 + 0.595623i) q^{3} +(-0.309017 + 0.951057i) q^{4} +(2.21079 - 0.335262i) q^{5} +(-0.595623 - 1.83314i) q^{6} +3.44879i q^{7} +(0.951057 - 0.309017i) q^{8} +(0.578586 + 0.420367i) q^{9} +O(q^{10})\)	\(q+(-0.587785 - 0.809017i) q^{2} +(1.83314 + 0.595623i) q^{3} +(-0.309017 + 0.951057i) q^{4} +(2.21079 - 0.335262i) q^{5} +(-0.595623 - 1.83314i) q^{6} +3.44879i q^{7} +(0.951057 - 0.309017i) q^{8} +(0.578586 + 0.420367i) q^{9} +(-1.57070 - 1.59151i) q^{10} +(-4.96470 + 3.60707i) q^{11} +(-1.13294 + 1.55936i) q^{12} +(-0.190144 + 0.261711i) q^{13} +(2.79013 - 2.02715i) q^{14} +(4.25238 + 0.702217i) q^{15} +(-0.809017 - 0.587785i) q^{16} +(3.85588 - 1.25285i) q^{17} -0.715171i q^{18} +(-0.309017 - 0.951057i) q^{19} +(-0.364319 + 2.20619i) q^{20} +(-2.05418 + 6.32211i) q^{21} +(5.83636 + 1.89635i) q^{22} +(5.13811 + 7.07200i) q^{23} +1.92748 q^{24} +(4.77520 - 1.48239i) q^{25} +0.323493 q^{26} +(-2.58858 - 3.56288i) q^{27} +(-3.27999 - 1.06573i) q^{28} +(-0.590797 + 1.81829i) q^{29} +(-1.93138 - 3.85300i) q^{30} +(2.59859 + 7.99763i) q^{31} +1.00000i q^{32} +(-11.2494 + 3.65517i) q^{33} +(-3.28001 - 2.38306i) q^{34} +(1.15625 + 7.62455i) q^{35} +(-0.578586 + 0.420367i) q^{36} +(1.94243 - 2.67352i) q^{37} +(-0.587785 + 0.809017i) q^{38} +(-0.504443 + 0.366499i) q^{39} +(1.99899 - 1.00203i) q^{40} +(-5.21172 - 3.78654i) q^{41} +(6.32211 - 2.05418i) q^{42} -3.41188i q^{43} +(-1.89635 - 5.83636i) q^{44} +(1.42007 + 0.735366i) q^{45} +(2.70126 - 8.31363i) q^{46} +(0.632961 + 0.205661i) q^{47} +(-1.13294 - 1.55936i) q^{48} -4.89412 q^{49} +(-4.00607 - 2.99189i) q^{50} +7.81459 q^{51} +(-0.190144 - 0.261711i) q^{52} +(-9.43990 - 3.06721i) q^{53} +(-1.36090 + 4.18841i) q^{54} +(-9.76661 + 9.63895i) q^{55} +(1.06573 + 3.27999i) q^{56} -1.92748i q^{57} +(1.81829 - 0.590797i) q^{58} +(-3.42724 - 2.49004i) q^{59} +(-1.98191 + 3.82726i) q^{60} +(10.9403 - 7.94858i) q^{61} +(4.94281 - 6.80319i) q^{62} +(-1.44976 + 1.99542i) q^{63} +(0.809017 - 0.587785i) q^{64} +(-0.332628 + 0.642337i) q^{65} +(9.56935 + 6.95254i) q^{66} +(6.05155 - 1.96627i) q^{67} +4.05431i q^{68} +(5.20662 + 16.0243i) q^{69} +(5.48876 - 5.41702i) q^{70} +(-3.19165 + 9.82288i) q^{71} +(0.680168 + 0.221000i) q^{72} +(6.04150 + 8.31541i) q^{73} -3.30466 q^{74} +(9.63656 + 0.126792i) q^{75} +1.00000 q^{76} +(-12.4400 - 17.1222i) q^{77} +(0.593008 + 0.192680i) q^{78} +(0.259995 - 0.800184i) q^{79} +(-1.98563 - 1.02824i) q^{80} +(-3.28610 - 10.1136i) q^{81} +6.44204i q^{82} +(0.506125 - 0.164450i) q^{83} +(-5.37791 - 3.90728i) q^{84} +(8.10451 - 4.06252i) q^{85} +(-2.76027 + 2.00545i) q^{86} +(-2.16603 + 2.98128i) q^{87} +(-3.60707 + 4.96470i) q^{88} +(7.00057 - 5.08621i) q^{89} +(-0.239770 - 1.58109i) q^{90} +(-0.902586 - 0.655767i) q^{91} +(-8.31363 + 2.70126i) q^{92} +16.2086i q^{93} +(-0.205661 - 0.632961i) q^{94} +(-1.00203 - 1.99899i) q^{95} +(-0.595623 + 1.83314i) q^{96} +(0.487267 + 0.158323i) q^{97} +(2.87669 + 3.95943i) q^{98} -4.38880 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 96 q + 24 q^{4} + 8 q^{5} - 6 q^{6} + 34 q^{9}+O(q^{10}) \) 96 * q + 24 * q^4 + 8 * q^5 - 6 * q^6 + 34 * q^9	\( 96 q + 24 q^{4} + 8 q^{5} - 6 q^{6} + 34 q^{9} - 24 q^{11} + 10 q^{12} + 10 q^{14} - 8 q^{15} - 24 q^{16} + 30 q^{17} + 24 q^{19} + 2 q^{20} - 24 q^{24} - 60 q^{25} + 84 q^{26} - 30 q^{27} - 10 q^{28} - 4 q^{29} + 16 q^{30} - 14 q^{31} + 100 q^{33} + 8 q^{34} + 42 q^{35} - 34 q^{36} - 30 q^{37} + 32 q^{39} + 12 q^{41} + 10 q^{42} + 4 q^{44} - 18 q^{45} - 10 q^{46} + 10 q^{48} - 132 q^{49} - 36 q^{50} + 36 q^{51} + 30 q^{53} + 24 q^{54} - 4 q^{55} - 10 q^{56} + 60 q^{58} + 16 q^{59} + 8 q^{60} + 42 q^{61} - 110 q^{63} + 24 q^{64} + 12 q^{65} - 20 q^{66} + 130 q^{67} - 8 q^{69} + 20 q^{70} - 8 q^{71} - 120 q^{73} - 124 q^{74} - 24 q^{75} + 96 q^{76} - 50 q^{78} + 4 q^{79} - 2 q^{80} - 10 q^{81} - 70 q^{83} + 52 q^{85} - 44 q^{86} - 70 q^{87} + 10 q^{88} - 26 q^{89} + 32 q^{90} - 4 q^{91} - 10 q^{92} + 10 q^{94} + 2 q^{95} - 6 q^{96} - 10 q^{97} - 60 q^{98} - 184 q^{99}+O(q^{100}) \) 96 * q + 24 * q^4 + 8 * q^5 - 6 * q^6 + 34 * q^9 - 24 * q^11 + 10 * q^12 + 10 * q^14 - 8 * q^15 - 24 * q^16 + 30 * q^17 + 24 * q^19 + 2 * q^20 - 24 * q^24 - 60 * q^25 + 84 * q^26 - 30 * q^27 - 10 * q^28 - 4 * q^29 + 16 * q^30 - 14 * q^31 + 100 * q^33 + 8 * q^34 + 42 * q^35 - 34 * q^36 - 30 * q^37 + 32 * q^39 + 12 * q^41 + 10 * q^42 + 4 * q^44 - 18 * q^45 - 10 * q^46 + 10 * q^48 - 132 * q^49 - 36 * q^50 + 36 * q^51 + 30 * q^53 + 24 * q^54 - 4 * q^55 - 10 * q^56 + 60 * q^58 + 16 * q^59 + 8 * q^60 + 42 * q^61 - 110 * q^63 + 24 * q^64 + 12 * q^65 - 20 * q^66 + 130 * q^67 - 8 * q^69 + 20 * q^70 - 8 * q^71 - 120 * q^73 - 124 * q^74 - 24 * q^75 + 96 * q^76 - 50 * q^78 + 4 * q^79 - 2 * q^80 - 10 * q^81 - 70 * q^83 + 52 * q^85 - 44 * q^86 - 70 * q^87 + 10 * q^88 - 26 * q^89 + 32 * q^90 - 4 * q^91 - 10 * q^92 + 10 * q^94 + 2 * q^95 - 6 * q^96 - 10 * q^97 - 60 * q^98 - 184 * q^99

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