LMFDB - Embedded newform 154.2.f.b.141.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [154,2,Mod(15,154)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(154, base_ring=CyclotomicField(10))

chi = DirichletCharacter(H, H._module([0, 2]))

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

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

chi := DirichletCharacter("154.15");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 154 = 2 \cdot 7 \cdot 11 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	154.f (of order $5$, 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:	$1.22969619113$
Analytic rank:	$0$
Dimension:	$4$
Coefficient field:	$\Q(\zeta_{10})$
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{4} - x^{3} + x^{2} - x + 1 $ x^4 - x^3 + x^2 - x + 1
Coefficient ring:	$\Z[a_1, a_2]$
Coefficient ring index:	$ 1 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{5}]$

Embedding invariants

Embedding label			141.1
Root			$-0.309017 - 0.951057i$ of defining polynomial
Character	$\chi$	$=$	154.141
Dual form			154.2.f.b.71.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.309017 - 0.951057i) q^{2} +(1.80902 - 1.31433i) q^{3} +(-0.809017 - 0.587785i) q^{4} +(0.190983 + 0.587785i) q^{5} +(-0.690983 - 2.12663i) q^{6} +(0.809017 + 0.587785i) q^{7} +(-0.809017 + 0.587785i) q^{8} +(0.618034 - 1.90211i) q^{9} +O(q^{10})$	\(q+(0.309017 - 0.951057i) q^{2} +(1.80902 - 1.31433i) q^{3} +(-0.809017 - 0.587785i) q^{4} +(0.190983 + 0.587785i) q^{5} +(-0.690983 - 2.12663i) q^{6} +(0.809017 + 0.587785i) q^{7} +(-0.809017 + 0.587785i) q^{8} +(0.618034 - 1.90211i) q^{9} +0.618034 q^{10} +(-3.23607 + 0.726543i) q^{11} -2.23607 q^{12} +(-0.0729490 + 0.224514i) q^{13} +(0.809017 - 0.587785i) q^{14} +(1.11803 + 0.812299i) q^{15} +(0.309017 + 0.951057i) q^{16} +(-0.0729490 - 0.224514i) q^{17} +(-1.61803 - 1.17557i) q^{18} +(-4.04508 + 2.93893i) q^{19} +(0.190983 - 0.587785i) q^{20} +2.23607 q^{21} +(-0.309017 + 3.30220i) q^{22} -0.236068 q^{23} +(-0.690983 + 2.12663i) q^{24} +(3.73607 - 2.71441i) q^{25} +(0.190983 + 0.138757i) q^{26} +(0.690983 + 2.12663i) q^{27} +(-0.309017 - 0.951057i) q^{28} +(1.19098 + 0.865300i) q^{29} +(1.11803 - 0.812299i) q^{30} +(2.69098 - 8.28199i) q^{31} +1.00000 q^{32} +(-4.89919 + 5.56758i) q^{33} -0.236068 q^{34} +(-0.190983 + 0.587785i) q^{35} +(-1.61803 + 1.17557i) q^{36} +(6.35410 + 4.61653i) q^{37} +(1.54508 + 4.75528i) q^{38} +(0.163119 + 0.502029i) q^{39} +(-0.500000 - 0.363271i) q^{40} +(-7.23607 + 5.25731i) q^{41} +(0.690983 - 2.12663i) q^{42} -1.85410 q^{43} +(3.04508 + 1.31433i) q^{44} +1.23607 q^{45} +(-0.0729490 + 0.224514i) q^{46} +(-5.35410 + 3.88998i) q^{47} +(1.80902 + 1.31433i) q^{48} +(0.309017 + 0.951057i) q^{49} +(-1.42705 - 4.39201i) q^{50} +(-0.427051 - 0.310271i) q^{51} +(0.190983 - 0.138757i) q^{52} +(2.54508 - 7.83297i) q^{53} +2.23607 q^{54} +(-1.04508 - 1.76336i) q^{55} -1.00000 q^{56} +(-3.45492 + 10.6331i) q^{57} +(1.19098 - 0.865300i) q^{58} +(-6.97214 - 5.06555i) q^{59} +(-0.427051 - 1.31433i) q^{60} +(1.64590 + 5.06555i) q^{61} +(-7.04508 - 5.11855i) q^{62} +(1.61803 - 1.17557i) q^{63} +(0.309017 - 0.951057i) q^{64} -0.145898 q^{65} +(3.78115 + 6.37988i) q^{66} +9.18034 q^{67} +(-0.0729490 + 0.224514i) q^{68} +(-0.427051 + 0.310271i) q^{69} +(0.500000 + 0.363271i) q^{70} +(-4.16312 - 12.8128i) q^{71} +(0.618034 + 1.90211i) q^{72} +(-7.78115 - 5.65334i) q^{73} +(6.35410 - 4.61653i) q^{74} +(3.19098 - 9.82084i) q^{75} +5.00000 q^{76} +(-3.04508 - 1.31433i) q^{77} +0.527864 q^{78} +(4.63525 - 14.2658i) q^{79} +(-0.500000 + 0.363271i) q^{80} +(8.89919 + 6.46564i) q^{81} +(2.76393 + 8.50651i) q^{82} +(-2.66312 - 8.19624i) q^{83} +(-1.80902 - 1.31433i) q^{84} +(0.118034 - 0.0857567i) q^{85} +(-0.572949 + 1.76336i) q^{86} +3.29180 q^{87} +(2.19098 - 2.48990i) q^{88} -2.90983 q^{89} +(0.381966 - 1.17557i) q^{90} +(-0.190983 + 0.138757i) q^{91} +(0.190983 + 0.138757i) q^{92} +(-6.01722 - 18.5191i) q^{93} +(2.04508 + 6.29412i) q^{94} +(-2.50000 - 1.81636i) q^{95} +(1.80902 - 1.31433i) q^{96} +(-4.14590 + 12.7598i) q^{97} +1.00000 q^{98} +(-0.618034 + 6.60440i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 4 q - q^{2} + 5 q^{3} - q^{4} + 3 q^{5} - 5 q^{6} + q^{7} - q^{8} - 2 q^{9}+O(q^{10}) $ 4 * q - q^2 + 5 * q^3 - q^4 + 3 * q^5 - 5 * q^6 + q^7 - q^8 - 2 * q^9	\( 4 q - q^{2} + 5 q^{3} - q^{4} + 3 q^{5} - 5 q^{6} + q^{7} - q^{8} - 2 q^{9} - 2 q^{10} - 4 q^{11} - 7 q^{13} + q^{14} - q^{16} - 7 q^{17} - 2 q^{18} - 5 q^{19} + 3 q^{20} + q^{22} + 8 q^{23} - 5 q^{24} + 6 q^{25} + 3 q^{26} + 5 q^{27} + q^{28} + 7 q^{29} + 13 q^{31} + 4 q^{32} + 5 q^{33} + 8 q^{34} - 3 q^{35} - 2 q^{36} + 12 q^{37} - 5 q^{38} - 15 q^{39} - 2 q^{40} - 20 q^{41} + 5 q^{42} + 6 q^{43} + q^{44} - 4 q^{45} - 7 q^{46} - 8 q^{47} + 5 q^{48} - q^{49} + q^{50} + 5 q^{51} + 3 q^{52} - q^{53} + 7 q^{55} - 4 q^{56} - 25 q^{57} + 7 q^{58} - 10 q^{59} + 5 q^{60} + 20 q^{61} - 17 q^{62} + 2 q^{63} - q^{64} - 14 q^{65} - 5 q^{66} - 8 q^{67} - 7 q^{68} + 5 q^{69} + 2 q^{70} - q^{71} - 2 q^{72} - 11 q^{73} + 12 q^{74} + 15 q^{75} + 20 q^{76} - q^{77} + 20 q^{78} - 15 q^{79} - 2 q^{80} + 11 q^{81} + 20 q^{82} + 5 q^{83} - 5 q^{84} - 4 q^{85} - 9 q^{86} + 40 q^{87} + 11 q^{88} - 34 q^{89} + 6 q^{90} - 3 q^{91} + 3 q^{92} + 5 q^{93} - 3 q^{94} - 10 q^{95} + 5 q^{96} - 30 q^{97} + 4 q^{98} + 2 q^{99}+O(q^{100}) \) 4 * q - q^2 + 5 * q^3 - q^4 + 3 * q^5 - 5 * q^6 + q^7 - q^8 - 2 * q^9 - 2 * q^10 - 4 * q^11 - 7 * q^13 + q^14 - q^16 - 7 * q^17 - 2 * q^18 - 5 * q^19 + 3 * q^20 + q^22 + 8 * q^23 - 5 * q^24 + 6 * q^25 + 3 * q^26 + 5 * q^27 + q^28 + 7 * q^29 + 13 * q^31 + 4 * q^32 + 5 * q^33 + 8 * q^34 - 3 * q^35 - 2 * q^36 + 12 * q^37 - 5 * q^38 - 15 * q^39 - 2 * q^40 - 20 * q^41 + 5 * q^42 + 6 * q^43 + q^44 - 4 * q^45 - 7 * q^46 - 8 * q^47 + 5 * q^48 - q^49 + q^50 + 5 * q^51 + 3 * q^52 - q^53 + 7 * q^55 - 4 * q^56 - 25 * q^57 + 7 * q^58 - 10 * q^59 + 5 * q^60 + 20 * q^61 - 17 * q^62 + 2 * q^63 - q^64 - 14 * q^65 - 5 * q^66 - 8 * q^67 - 7 * q^68 + 5 * q^69 + 2 * q^70 - q^71 - 2 * q^72 - 11 * q^73 + 12 * q^74 + 15 * q^75 + 20 * q^76 - q^77 + 20 * q^78 - 15 * q^79 - 2 * q^80 + 11 * q^81 + 20 * q^82 + 5 * q^83 - 5 * q^84 - 4 * q^85 - 9 * q^86 + 40 * q^87 + 11 * q^88 - 34 * q^89 + 6 * q^90 - 3 * q^91 + 3 * q^92 + 5 * q^93 - 3 * q^94 - 10 * q^95 + 5 * q^96 - 30 * q^97 + 4 * q^98 + 2 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/154\mathbb{Z}\right)^\times$.

$n$	$45$	$57$
$\chi(n)$	$1$	$e\left(\frac{3}{5}\right)$

Coefficient data

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

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

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

$2$	0.309017	−	0.951057i	0.218508	−	0.672499i
$2$	0.309017	−	0.951057i	0.218508	−	0.672499i
$3$	1.80902	−	1.31433i	1.04444	−	0.758827i	0.0732898	−	0.997311i	$-0.476650\pi$
$3$	1.80902	−	1.31433i	1.04444	−	0.758827i	0.971147	+	0.238483i	$0.0766502\pi$
$4$	−0.809017	−	0.587785i	−0.404508	−	0.293893i
$5$	0.190983	+	0.587785i	0.0854102	+	0.262866i	0.984636	−	0.174619i	$-0.0558694\pi$
$5$	0.190983	+	0.587785i	0.0854102	+	0.262866i	−0.899226	+	0.437485i	$0.855869\pi$
$6$	−0.690983	−	2.12663i	−0.282093	−	0.868192i
$7$	0.809017	+	0.587785i	0.305780	+	0.222162i
$7$	0.809017	+	0.587785i	0.305780	+	0.222162i
$8$	−0.809017	+	0.587785i	−0.286031	+	0.207813i
$9$	0.618034	−	1.90211i	0.206011	−	0.634038i
$10$	0.618034			0.195440
$11$	−3.23607	+	0.726543i	−0.975711	+	0.219061i
$11$	−3.23607	+	0.726543i	−0.975711	+	0.219061i
$12$	−2.23607			−0.645497
$13$	−0.0729490	+	0.224514i	−0.0202324	+	0.0622690i	−0.960663	−	0.277717i	$-0.910422\pi$
$13$	−0.0729490	+	0.224514i	−0.0202324	+	0.0622690i	0.940431	+	0.339986i	$0.110422\pi$
$14$	0.809017	−	0.587785i	0.216219	−	0.157092i
$15$	1.11803	+	0.812299i	0.288675	+	0.209735i
$16$	0.309017	+	0.951057i	0.0772542	+	0.237764i
$17$	−0.0729490	−	0.224514i	−0.0176927	−	0.0544526i	0.941820	−	0.336117i	$-0.109114\pi$
$17$	−0.0729490	−	0.224514i	−0.0176927	−	0.0544526i	−0.959513	+	0.281664i	$0.909114\pi$
$18$	−1.61803	−	1.17557i	−0.381374	−	0.277085i
$19$	−4.04508	+	2.93893i	−0.928006	+	0.674236i	−0.945504	−	0.325611i	$-0.894430\pi$
$19$	−4.04508	+	2.93893i	−0.928006	+	0.674236i	0.0174977	+	0.999847i	$0.494430\pi$
$20$	0.190983	−	0.587785i	0.0427051	−	0.131433i
$21$	2.23607			0.487950
$22$	−0.309017	+	3.30220i	−0.0658826	+	0.704031i
$23$	−0.236068			−0.0492236			−0.0246118	−	0.999697i	$-0.507835\pi$
$23$	−0.236068			−0.0492236			−0.0246118	+	0.999697i	$0.507835\pi$
$24$	−0.690983	+	2.12663i	−0.141046	+	0.434096i
$25$	3.73607	−	2.71441i	0.747214	−	0.542882i
$26$	0.190983	+	0.138757i	0.0374548	+	0.0272125i
$27$	0.690983	+	2.12663i	0.132980	+	0.409270i
$28$	−0.309017	−	0.951057i	−0.0583987	−	0.179733i
$29$	1.19098	+	0.865300i	0.221160	+	0.160682i	0.692849	−	0.721083i	$-0.256355\pi$
$29$	1.19098	+	0.865300i	0.221160	+	0.160682i	−0.471689	+	0.881765i	$0.656355\pi$
$30$	1.11803	−	0.812299i	0.204124	−	0.148305i
$31$	2.69098	−	8.28199i	0.483315	−	1.48749i	−0.351092	−	0.936341i	$-0.614190\pi$
$31$	2.69098	−	8.28199i	0.483315	−	1.48749i	0.834407	−	0.551149i	$-0.185810\pi$
$32$	1.00000			0.176777
$33$	−4.89919	+	5.56758i	−0.852839	+	0.969192i
$34$	−0.236068			−0.0404853
$35$	−0.190983	+	0.587785i	−0.0322820	+	0.0993538i
$36$	−1.61803	+	1.17557i	−0.269672	+	0.195928i
$37$	6.35410	+	4.61653i	1.04461	+	0.758952i	0.971180	−	0.238348i	$-0.0766060\pi$
$37$	6.35410	+	4.61653i	1.04461	+	0.758952i	0.0734282	+	0.997301i	$0.476606\pi$
$38$	1.54508	+	4.75528i	0.250646	+	0.771409i
$39$	0.163119	+	0.502029i	0.0261199	+	0.0803889i
$40$	−0.500000	−	0.363271i	−0.0790569	−	0.0574382i
$41$	−7.23607	+	5.25731i	−1.13008	+	0.821054i	−0.985707	−	0.168469i	$-0.946118\pi$
$41$	−7.23607	+	5.25731i	−1.13008	+	0.821054i	−0.144377	+	0.989523i	$0.546118\pi$
$42$	0.690983	−	2.12663i	0.106621	−	0.328146i
$43$	−1.85410			−0.282748			−0.141374	−	0.989956i	$-0.545152\pi$
$43$	−1.85410			−0.282748			−0.141374	+	0.989956i	$0.545152\pi$
$44$	3.04508	+	1.31433i	0.459064	+	0.198142i
$45$	1.23607			0.184262
$46$	−0.0729490	+	0.224514i	−0.0107557	+	0.0331028i
$47$	−5.35410	+	3.88998i	−0.780976	+	0.567412i	−0.905272	−	0.424833i	$-0.860333\pi$
$47$	−5.35410	+	3.88998i	−0.780976	+	0.567412i	0.124296	+	0.992245i	$0.460333\pi$
$48$	1.80902	+	1.31433i	0.261109	+	0.189707i
$49$	0.309017	+	0.951057i	0.0441453	+	0.135865i
$50$	−1.42705	−	4.39201i	−0.201815	−	0.621124i
$51$	−0.427051	−	0.310271i	−0.0597991	−	0.0434466i
$52$	0.190983	−	0.138757i	0.0264846	−	0.0192422i
$53$	2.54508	−	7.83297i	0.349594	−	1.07594i	−0.609484	−	0.792799i	$-0.708623\pi$
$53$	2.54508	−	7.83297i	0.349594	−	1.07594i	0.959078	−	0.283142i	$-0.0913768\pi$
$54$	2.23607			0.304290
$55$	−1.04508	−	1.76336i	−0.140919	−	0.237771i
$56$	−1.00000			−0.133631
$57$	−3.45492	+	10.6331i	−0.457615	+	1.40839i
$58$	1.19098	−	0.865300i	0.156384	−	0.113619i
$59$	−6.97214	−	5.06555i	−0.907695	−	0.659479i	0.0327360	−	0.999464i	$-0.489578\pi$
$59$	−6.97214	−	5.06555i	−0.907695	−	0.659479i	−0.940431	+	0.339985i	$0.889578\pi$
$60$	−0.427051	−	1.31433i	−0.0551320	−	0.169679i
$61$	1.64590	+	5.06555i	0.210736	+	0.648578i	0.999429	+	0.0337908i	$0.0107580\pi$
$61$	1.64590	+	5.06555i	0.210736	+	0.648578i	−0.788693	+	0.614787i	$0.789242\pi$
$62$	−7.04508	−	5.11855i	−0.894727	−	0.650057i
$63$	1.61803	−	1.17557i	0.203853	−	0.148108i
$64$	0.309017	−	0.951057i	0.0386271	−	0.118882i
$65$	−0.145898			−0.0180964
$66$	3.78115	+	6.37988i	0.465428	+	0.785309i
$67$	9.18034			1.12156			0.560779	−	0.827966i	$-0.310502\pi$
$67$	9.18034			1.12156			0.560779	+	0.827966i	$0.310502\pi$
$68$	−0.0729490	+	0.224514i	−0.00884637	+	0.0272263i
$69$	−0.427051	+	0.310271i	−0.0514109	+	0.0373522i
$70$	0.500000	+	0.363271i	0.0597614	+	0.0434192i
$71$	−4.16312	−	12.8128i	−0.494071	−	1.52060i	−0.818399	−	0.574650i	$-0.805138\pi$
$71$	−4.16312	−	12.8128i	−0.494071	−	1.52060i	0.324328	−	0.945945i	$-0.394862\pi$
$72$	0.618034	+	1.90211i	0.0728360	+	0.224166i
$73$	−7.78115	−	5.65334i	−0.910715	−	0.661673i	0.0304805	−	0.999535i	$-0.490296\pi$
$73$	−7.78115	−	5.65334i	−0.910715	−	0.661673i	−0.941196	+	0.337862i	$0.890296\pi$
$74$	6.35410	−	4.61653i	0.738649	−	0.536660i
$75$	3.19098	−	9.82084i	0.368463	−	1.13401i
$76$	5.00000			0.573539
$77$	−3.04508	−	1.31433i	−0.347020	−	0.149782i
$78$	0.527864			0.0597688
$79$	4.63525	−	14.2658i	0.521507	−	1.60503i	−0.249615	−	0.968345i	$-0.580304\pi$
$79$	4.63525	−	14.2658i	0.521507	−	1.60503i	0.771122	−	0.636688i	$-0.219696\pi$
$80$	−0.500000	+	0.363271i	−0.0559017	+	0.0406150i
$81$	8.89919	+	6.46564i	0.988799	+	0.718404i
$82$	2.76393	+	8.50651i	0.305225	+	0.939387i
$83$	−2.66312	−	8.19624i	−0.292315	−	0.899654i	−0.984110	−	0.177560i	$-0.943180\pi$
$83$	−2.66312	−	8.19624i	−0.292315	−	0.899654i	0.691795	−	0.722094i	$-0.256820\pi$
$84$	−1.80902	−	1.31433i	−0.197380	−	0.143405i
$85$	0.118034	−	0.0857567i	0.0128026	−	0.00930162i
$86$	−0.572949	+	1.76336i	−0.0617827	+	0.190148i
$87$	3.29180			0.352918
$88$	2.19098	−	2.48990i	0.233560	−	0.265424i
$89$	−2.90983			−0.308441			−0.154221	−	0.988036i	$-0.549287\pi$
$89$	−2.90983			−0.308441			−0.154221	+	0.988036i	$0.549287\pi$
$90$	0.381966	−	1.17557i	0.0402628	−	0.123916i
$91$	−0.190983	+	0.138757i	−0.0200205	+	0.0145457i
$92$	0.190983	+	0.138757i	0.0199114	+	0.0144664i
$93$	−6.01722	−	18.5191i	−0.623957	−	1.92034i
$94$	2.04508	+	6.29412i	0.210934	+	0.649189i
$95$	−2.50000	−	1.81636i	−0.256495	−	0.186354i
$96$	1.80902	−	1.31433i	0.184632	−	0.134143i
$97$	−4.14590	+	12.7598i	−0.420952	+	1.29556i	0.485865	+	0.874034i	$0.338505\pi$
$97$	−4.14590	+	12.7598i	−0.420952	+	1.29556i	−0.906817	+	0.421524i	$0.861495\pi$
$98$	1.00000			0.101015
$99$	−0.618034	+	6.60440i	−0.0621148	+	0.663767i
$100$	−4.61803			−0.461803
$101$	−1.30902	+	4.02874i	−0.130252	+	0.400875i	−0.994821	−	0.101639i	$-0.967591\pi$
$101$	−1.30902	+	4.02874i	−0.130252	+	0.400875i	0.864569	+	0.502514i	$0.167591\pi$
$102$	−0.427051	+	0.310271i	−0.0422843	+	0.0307214i
$103$	−8.78115	−	6.37988i	−0.865233	−	0.628628i	0.0640708	−	0.997945i	$-0.479592\pi$
$103$	−8.78115	−	6.37988i	−0.865233	−	0.628628i	−0.929303	+	0.369317i	$0.879592\pi$
$104$	−0.0729490	−	0.224514i	−0.00715324	−	0.0220154i
$105$	0.427051	+	1.31433i	0.0416759	+	0.128265i
$106$	−6.66312	−	4.84104i	−0.647179	−	0.470203i
$107$	−12.3541	+	8.97578i	−1.19432	+	0.867721i	−0.993714	−	0.111951i	$-0.964290\pi$
$107$	−12.3541	+	8.97578i	−1.19432	+	0.867721i	−0.200602	+	0.979673i	$0.564290\pi$
$108$	0.690983	−	2.12663i	0.0664899	−	0.204635i
$109$	13.3262			1.27642			0.638211	−	0.769861i	$-0.279675\pi$
$109$	13.3262			1.27642			0.638211	+	0.769861i	$0.279675\pi$
$110$	−2.00000	+	0.449028i	−0.190693	+	0.0428131i
$111$	17.5623			1.66694
$112$	−0.309017	+	0.951057i	−0.0291994	+	0.0898664i
$113$	−3.00000	+	2.17963i	−0.282216	+	0.205042i	−0.719884	−	0.694095i	$-0.755805\pi$
$113$	−3.00000	+	2.17963i	−0.282216	+	0.205042i	0.437667	+	0.899137i	$0.355805\pi$
$114$	9.04508	+	6.57164i	0.847150	+	0.615490i
$115$	−0.0450850	−	0.138757i	−0.00420420	−	0.0129392i
$116$	−0.454915	−	1.40008i	−0.0422378	−	0.129995i
$117$	0.381966	+	0.277515i	0.0353128	+	0.0256562i
$118$	−6.97214	+	5.06555i	−0.641837	+	0.466322i
$119$	0.0729490	−	0.224514i	0.00668723	−	0.0205812i
$120$	−1.38197			−0.126156
$121$	9.94427	−	4.70228i	0.904025	−	0.427480i
$122$	5.32624			0.482215
$123$	−6.18034	+	19.0211i	−0.557262	+	1.71508i
$124$	−7.04508	+	5.11855i	−0.632667	+	0.459660i
$125$	4.80902	+	3.49396i	0.430132	+	0.312509i
$126$	−0.618034	−	1.90211i	−0.0550588	−	0.169454i
$127$	1.35410	+	4.16750i	0.120157	+	0.369806i	0.992988	−	0.118218i	$-0.0377181\pi$
$127$	1.35410	+	4.16750i	0.120157	+	0.369806i	−0.872831	+	0.488023i	$0.837718\pi$
$128$	−0.809017	−	0.587785i	−0.0715077	−	0.0519534i
$129$	−3.35410	+	2.43690i	−0.295312	+	0.214557i
$130$	−0.0450850	+	0.138757i	−0.00395421	+	0.0121698i
$131$	16.1803			1.41368			0.706841	−	0.707372i	$-0.250119\pi$
$131$	16.1803			1.41368			0.706841	+	0.707372i	$0.250119\pi$
$132$	7.23607	−	1.62460i	0.629819	−	0.141403i
$133$	−5.00000			−0.433555
$134$	2.83688	−	8.73102i	0.245069	−	0.754245i
$135$	−1.11803	+	0.812299i	−0.0962250	+	0.0699116i
$136$	0.190983	+	0.138757i	0.0163767	+	0.0118983i
$137$	−0.472136	−	1.45309i	−0.0403373	−	0.124145i	0.928860	−	0.370431i	$-0.120790\pi$
$137$	−0.472136	−	1.45309i	−0.0403373	−	0.124145i	−0.969197	+	0.246285i	$0.920790\pi$
$138$	0.163119	+	0.502029i	0.0138856	+	0.0427355i
$139$	4.85410	+	3.52671i	0.411720	+	0.299132i	0.774298	−	0.632822i	$-0.218103\pi$
$139$	4.85410	+	3.52671i	0.411720	+	0.299132i	−0.362578	+	0.931953i	$0.618103\pi$
$140$	0.500000	−	0.363271i	0.0422577	−	0.0307020i
$141$	−4.57295	+	14.0741i	−0.385112	+	1.18525i
$142$	−13.4721			−1.13056
$143$	0.0729490	−	0.779543i	0.00610030	−	0.0651887i
$144$	2.00000			0.166667
$145$	−0.281153	+	0.865300i	−0.0233485	+	0.0718592i
$146$	−7.78115	+	5.65334i	−0.643973	+	0.467874i
$147$	1.80902	+	1.31433i	0.149205	+	0.108404i
$148$	−2.42705	−	7.46969i	−0.199502	−	0.614005i
$149$	1.86475	+	5.73910i	0.152766	+	0.470165i	0.997928	−	0.0643455i	$-0.0204960\pi$
$149$	1.86475	+	5.73910i	0.152766	+	0.470165i	−0.845162	+	0.534511i	$0.820496\pi$
$150$	−8.35410	−	6.06961i	−0.682110	−	0.495582i
$151$	−18.9443	+	13.7638i	−1.54166	+	1.12008i	−0.592381	+	0.805658i	$0.701812\pi$
$151$	−18.9443	+	13.7638i	−1.54166	+	1.12008i	−0.949282	+	0.314426i	$0.898188\pi$
$152$	1.54508	−	4.75528i	0.125323	−	0.385704i
$153$	−0.472136			−0.0381699
$154$	−2.19098	+	2.48990i	−0.176554	+	0.200642i
$155$	5.38197			0.432290
$156$	0.163119	−	0.502029i	0.0130600	−	0.0401945i
$157$	18.1353	−	13.1760i	1.44735	−	1.05156i	0.460910	−	0.887447i	$-0.347523\pi$
$157$	18.1353	−	13.1760i	1.44735	−	1.05156i	0.986441	−	0.164115i	$-0.0524768\pi$
$158$	−12.1353	−	8.81678i	−0.965429	−	0.701425i
$159$	−5.69098	−	17.5150i	−0.451324	−	1.38903i
$160$	0.190983	+	0.587785i	0.0150985	+	0.0464685i
$161$	−0.190983	−	0.138757i	−0.0150516	−	0.0109356i
$162$	8.89919	−	6.46564i	0.699186	−	0.507988i
$163$	−3.68034	+	11.3269i	−0.288266	+	0.887193i	0.697134	+	0.716941i	$0.254458\pi$
$163$	−3.68034	+	11.3269i	−0.288266	+	0.887193i	−0.985401	+	0.170252i	$0.945542\pi$
$164$	8.94427			0.698430
$165$	−4.20820	−	1.81636i	−0.327608	−	0.141403i
$166$	−8.61803			−0.668889
$167$	2.97214	−	9.14729i	0.229991	−	0.707839i	−0.767756	−	0.640743i	$-0.778627\pi$
$167$	2.97214	−	9.14729i	0.229991	−	0.707839i	0.997747	−	0.0670962i	$-0.0213734\pi$
$168$	−1.80902	+	1.31433i	−0.139569	+	0.101403i
$169$	10.4721	+	7.60845i	0.805549	+	0.585266i
$170$	−0.0450850	−	0.138757i	−0.00345786	−	0.0106422i
$171$	3.09017	+	9.51057i	0.236311	+	0.727291i
$172$	1.50000	+	1.08981i	0.114374	+	0.0830975i
$173$	2.80902	−	2.04087i	0.213566	−	0.155164i	−0.475860	−	0.879521i	$-0.657863\pi$
$173$	2.80902	−	2.04087i	0.213566	−	0.155164i	0.689425	+	0.724357i	$0.257863\pi$
$174$	1.01722	−	3.13068i	0.0771153	−	0.237337i
$175$	4.61803			0.349091
$176$	−1.69098	−	2.85317i	−0.127463	−	0.215066i
$177$	−19.2705			−1.44846
$178$	−0.899187	+	2.76741i	−0.0673969	+	0.207426i
$179$	−12.9721	+	9.42481i	−0.969583	+	0.704443i	−0.955356	−	0.295456i	$-0.904529\pi$
$179$	−12.9721	+	9.42481i	−0.969583	+	0.704443i	−0.0142265	+	0.999899i	$0.504529\pi$
$180$	−1.00000	−	0.726543i	−0.0745356	−	0.0541533i
$181$	3.32624	+	10.2371i	0.247237	+	0.760918i	0.995260	+	0.0972455i	$0.0310032\pi$
$181$	3.32624	+	10.2371i	0.247237	+	0.760918i	−0.748023	+	0.663673i	$0.768997\pi$
$182$	0.0729490	+	0.224514i	0.00540734	+	0.0166421i
$183$	9.63525	+	7.00042i	0.712259	+	0.517486i
$184$	0.190983	−	0.138757i	0.0140795	−	0.0102293i
$185$	−1.50000	+	4.61653i	−0.110282	+	0.339414i
$186$	−19.4721			−1.42777
$187$	0.399187	+	0.673542i	0.0291914	+	0.0492543i
$188$	6.61803			0.482670
$189$	−0.690983	+	2.12663i	−0.0502616	+	0.154689i
$190$	−2.50000	+	1.81636i	−0.181369	+	0.131772i
$191$	20.7254	+	15.0579i	1.49964	+	1.08955i	0.970525	+	0.241001i	$0.0774757\pi$
$191$	20.7254	+	15.0579i	1.49964	+	1.08955i	0.529114	+	0.848551i	$0.322524\pi$
$192$	−0.690983	−	2.12663i	−0.0498674	−	0.153476i
$193$	−4.54508	−	13.9883i	−0.327162	−	1.00690i	−0.970455	−	0.241282i	$-0.922432\pi$
$193$	−4.54508	−	13.9883i	−0.327162	−	1.00690i	0.643293	−	0.765620i	$-0.277568\pi$
$194$	10.8541	+	7.88597i	0.779279	+	0.566179i
$195$	−0.263932	+	0.191758i	−0.0189006	+	0.0137321i
$196$	0.309017	−	0.951057i	0.0220726	−	0.0679326i
$197$	−4.90983			−0.349811			−0.174905	−	0.984585i	$-0.555962\pi$
$197$	−4.90983			−0.349811			−0.174905	+	0.984585i	$0.555962\pi$
$198$	6.09017	+	2.62866i	0.432810	+	0.186810i
$199$	−16.7639			−1.18836			−0.594182	−	0.804331i	$-0.702524\pi$
$199$	−16.7639			−1.18836			−0.594182	+	0.804331i	$0.702524\pi$
$200$	−1.42705	+	4.39201i	−0.100908	+	0.310562i
$201$	16.6074	−	12.0660i	1.17140	−	0.851068i
$202$	3.42705	+	2.48990i	0.241126	+	0.175189i
$203$	0.454915	+	1.40008i	0.0319288	+	0.0982667i
$204$	0.163119	+	0.502029i	0.0114206	+	0.0351490i
$205$	−4.47214	−	3.24920i	−0.312348	−	0.226934i
$206$	−8.78115	+	6.37988i	−0.611812	+	0.444507i
$207$	−0.145898	+	0.449028i	−0.0101406	+	0.0312096i
$208$	−0.236068			−0.0163684
$209$	10.9549	−	12.4495i	0.757767	−	0.861149i
$210$	1.38197			0.0953647
$211$	4.48936	−	13.8168i	0.309060	−	0.951189i	−0.669071	−	0.743199i	$-0.733308\pi$
$211$	4.48936	−	13.8168i	0.309060	−	0.951189i	0.978131	−	0.207990i	$-0.0666923\pi$
$212$	−6.66312	+	4.84104i	−0.457625	+	0.332484i
$213$	−24.3713	−	17.7068i	−1.66990	−	1.21325i
$214$	4.71885	+	14.5231i	0.322574	+	0.992780i
$215$	−0.354102	−	1.08981i	−0.0241496	−	0.0743247i
$216$	−1.80902	−	1.31433i	−0.123088	−	0.0894287i
$217$	7.04508	−	5.11855i	0.478252	−	0.347470i
$218$	4.11803	−	12.6740i	0.278908	−	0.858392i
$219$	−21.5066			−1.45328
$220$	−0.190983	+	2.04087i	−0.0128761	+	0.137595i
$221$	0.0557281			0.00374868
$222$	5.42705	−	16.7027i	0.364240	−	1.12101i
$223$	6.69098	−	4.86128i	0.448061	−	0.325536i	−0.340769	−	0.940147i	$-0.610687\pi$
$223$	6.69098	−	4.86128i	0.448061	−	0.325536i	0.788830	+	0.614612i	$0.210687\pi$
$224$	0.809017	+	0.587785i	0.0540547	+	0.0392731i
$225$	−2.85410	−	8.78402i	−0.190273	−	0.585602i
$226$	1.14590	+	3.52671i	0.0762240	+	0.234593i
$227$	23.2984	+	16.9273i	1.54637	+	1.12350i	0.946179	+	0.323643i	$0.104908\pi$
$227$	23.2984	+	16.9273i	1.54637	+	1.12350i	0.600188	+	0.799859i	$0.295092\pi$
$228$	9.04508	−	6.57164i	0.599025	−	0.435217i
$229$	0.173762	−	0.534785i	0.0114825	−	0.0353396i	−0.945151	−	0.326633i	$-0.894086\pi$
$229$	0.173762	−	0.534785i	0.0114825	−	0.0353396i	0.956634	+	0.291294i	$0.0940857\pi$
$230$	−0.145898			−0.00962023
$231$	−7.23607	+	1.62460i	−0.476098	+	0.106891i
$232$	−1.47214			−0.0966505
$233$	5.70820	−	17.5680i	0.373957	−	1.15092i	−0.570223	−	0.821490i	$-0.693143\pi$
$233$	5.70820	−	17.5680i	0.373957	−	1.15092i	0.944180	−	0.329431i	$-0.106857\pi$
$234$	0.381966	−	0.277515i	0.0249699	−	0.0181417i
$235$	−3.30902	−	2.40414i	−0.215856	−	0.156829i
$236$	2.66312	+	8.19624i	0.173354	+	0.533530i
$237$	−10.3647	−	31.8994i	−0.673263	−	2.07209i
$238$	−0.190983	−	0.138757i	−0.0123796	−	0.00899430i
$239$	22.0623	−	16.0292i	1.42709	−	1.03684i	0.436543	−	0.899683i	$-0.356203\pi$
$239$	22.0623	−	16.0292i	1.42709	−	1.03684i	0.990549	−	0.137160i	$-0.0437973\pi$
$240$	−0.427051	+	1.31433i	−0.0275660	+	0.0848395i
$241$	0.965558			0.0621971			0.0310985	−	0.999516i	$-0.490099\pi$
$241$	0.965558			0.0621971			0.0310985	+	0.999516i	$0.490099\pi$
$242$	−1.39919	−	10.9106i	−0.0899431	−	0.701363i
$243$	17.8885			1.14755
$244$	1.64590	−	5.06555i	0.105368	−	0.324289i
$245$	−0.500000	+	0.363271i	−0.0319438	+	0.0232085i
$246$	16.1803	+	11.7557i	1.03162	+	0.749516i
$247$	−0.364745	−	1.12257i	−0.0232082	−	0.0714274i
$248$	2.69098	+	8.28199i	0.170878	+	0.525907i
$249$	−15.5902	−	11.3269i	−0.987987	−	0.717814i
$250$	4.80902	−	3.49396i	0.304149	−	0.220977i
$251$	−4.61803	+	14.2128i	−0.291488	+	0.897107i	0.692891	+	0.721042i	$0.256337\pi$
$251$	−4.61803	+	14.2128i	−0.291488	+	0.897107i	−0.984379	+	0.176065i	$0.943663\pi$
$252$	−2.00000			−0.125988
$253$	0.763932	−	0.171513i	0.0480280	−	0.0107830i
$254$	4.38197			0.274949
$255$	0.100813	−	0.310271i	0.00631316	−	0.0194299i
$256$	−0.809017	+	0.587785i	−0.0505636	+	0.0367366i
$257$	1.80902	+	1.31433i	0.112843	+	0.0819855i	0.642776	−	0.766054i	$-0.277783\pi$
$257$	1.80902	+	1.31433i	0.112843	+	0.0819855i	−0.529932	+	0.848040i	$0.677783\pi$
$258$	1.28115	+	3.94298i	0.0797611	+	0.245479i
$259$	2.42705	+	7.46969i	0.150810	+	0.464144i
$260$	0.118034	+	0.0857567i	0.00732016	+	0.00531841i
$261$	2.38197	−	1.73060i	0.147440	−	0.107121i
$262$	5.00000	−	15.3884i	0.308901	−	0.950700i
$263$	5.67376			0.349859			0.174930	−	0.984581i	$-0.444030\pi$
$263$	5.67376			0.349859			0.174930	+	0.984581i	$0.444030\pi$
$264$	0.690983	−	7.38394i	0.0425271	−	0.454450i
$265$	5.09017			0.312687
$266$	−1.54508	+	4.75528i	−0.0947352	+	0.291565i
$267$	−5.26393	+	3.82447i	−0.322147	+	0.234054i
$268$	−7.42705	−	5.39607i	−0.453679	−	0.329617i
$269$	5.98936	+	18.4333i	0.365178	+	1.12390i	0.949870	+	0.312646i	$0.101215\pi$
$269$	5.98936	+	18.4333i	0.365178	+	1.12390i	−0.584692	+	0.811255i	$0.698785\pi$
$270$	0.427051	+	1.31433i	0.0259895	+	0.0799874i
$271$	1.16312	+	0.845055i	0.0706544	+	0.0513335i	0.622552	−	0.782579i	$-0.286096\pi$
$271$	1.16312	+	0.845055i	0.0706544	+	0.0513335i	−0.551897	+	0.833912i	$0.686096\pi$
$272$	0.190983	−	0.138757i	0.0115800	−	0.00841340i
$273$	−0.163119	+	0.502029i	−0.00987241	+	0.0303841i
$274$	−1.52786			−0.0923016
$275$	−10.1180	+	11.4984i	−0.610140	+	0.693382i
$276$	0.527864			0.0317737
$277$	0.527864	−	1.62460i	0.0317163	−	0.0976127i	−0.933945	−	0.357416i	$-0.883658\pi$
$277$	0.527864	−	1.62460i	0.0317163	−	0.0976127i	0.965662	+	0.259803i	$0.0836578\pi$
$278$	4.85410	−	3.52671i	0.291130	−	0.211518i
$279$	−14.0902	−	10.2371i	−0.843556	−	0.612880i
$280$	−0.190983	−	0.587785i	−0.0114134	−	0.0351269i
$281$	−4.29837	−	13.2290i	−0.256419	−	0.789178i	−0.993547	−	0.113424i	$-0.963818\pi$
$281$	−4.29837	−	13.2290i	−0.256419	−	0.789178i	0.737127	−	0.675754i	$-0.236182\pi$
$282$	11.9721	+	8.69827i	0.712930	+	0.517974i
$283$	−10.2812	+	7.46969i	−0.611151	+	0.444027i	−0.849819	−	0.527074i	$-0.823289\pi$
$283$	−10.2812	+	7.46969i	−0.611151	+	0.444027i	0.238668	+	0.971101i	$0.423289\pi$
$284$	−4.16312	+	12.8128i	−0.247036	+	0.760298i
$285$	−6.90983			−0.409303
$286$	−0.718847	−	0.310271i	−0.0425063	−	0.0183467i
$287$	−8.94427			−0.527964
$288$	0.618034	−	1.90211i	0.0364180	−	0.112083i
$289$	13.7082	−	9.95959i	0.806365	−	0.585858i
$290$	0.736068	+	0.534785i	0.0432234	+	0.0314036i
$291$	9.27051	+	28.5317i	0.543447	+	1.67256i
$292$	2.97214	+	9.14729i	0.173931	+	0.535305i
$293$	−5.16312	−	3.75123i	−0.301633	−	0.219149i	0.426665	−	0.904410i	$-0.359688\pi$
$293$	−5.16312	−	3.75123i	−0.301633	−	0.219149i	−0.728298	+	0.685261i	$0.759688\pi$
$294$	1.80902	−	1.31433i	0.105504	−	0.0766532i
$295$	1.64590	−	5.06555i	0.0958279	−	0.294928i
$296$	−7.85410			−0.456510
$297$	−3.78115	−	6.37988i	−0.219405	−	0.370198i
$298$	6.03444			0.349566
$299$	0.0172209	−	0.0530006i	0.000995912	−	0.00306510i
$300$	−8.35410	+	6.06961i	−0.482324	+	0.350429i
$301$	−1.50000	−	1.08981i	−0.0864586	−	0.0628158i
$302$	7.23607	+	22.2703i	0.416389	+	1.28151i
$303$	2.92705	+	9.00854i	0.168155	+	0.517527i
$304$	−4.04508	−	2.93893i	−0.232002	−	0.168559i
$305$	−2.66312	+	1.93487i	−0.152490	+	0.110790i
$306$	−0.145898	+	0.449028i	−0.00834044	+	0.0256692i
$307$	−31.6525			−1.80650			−0.903251	−	0.429112i	$-0.858826\pi$
$307$	−31.6525			−1.80650			−0.903251	+	0.429112i	$0.858826\pi$
$308$	1.69098	+	2.85317i	0.0963527	+	0.162574i
$309$	−24.2705			−1.38070
$310$	1.66312	−	5.11855i	0.0944588	−	0.290714i
$311$	−6.04508	+	4.39201i	−0.342785	+	0.249048i	−0.745836	−	0.666130i	$-0.767950\pi$
$311$	−6.04508	+	4.39201i	−0.342785	+	0.249048i	0.403051	+	0.915178i	$0.367950\pi$
$312$	−0.427051	−	0.310271i	−0.0241770	−	0.0175656i
$313$	0.208204	+	0.640786i	0.0117684	+	0.0362194i	0.956768	−	0.290851i	$-0.0939385\pi$
$313$	0.208204	+	0.640786i	0.0117684	+	0.0362194i	−0.945000	+	0.327071i	$0.893938\pi$
$314$	−6.92705	−	21.3193i	−0.390916	−	1.20312i
$315$	1.00000	+	0.726543i	0.0563436	+	0.0409360i
$316$	−12.1353	+	8.81678i	−0.682661	+	0.495983i
$317$	−9.21885	+	28.3727i	−0.517782	+	1.59357i	0.260380	+	0.965506i	$0.416152\pi$
$317$	−9.21885	+	28.3727i	−0.517782	+	1.59357i	−0.778162	+	0.628063i	$0.783848\pi$
$318$	−18.4164			−1.03274
$319$	−4.48278	−	1.93487i	−0.250987	−	0.108332i
$320$	0.618034			0.0345492
$321$	−10.5517	+	32.4747i	−0.588936	+	1.81256i
$322$	−0.190983	+	0.138757i	−0.0106431	+	0.00773264i
$323$	0.954915	+	0.693786i	0.0531329	+	0.0386033i
$324$	−3.39919	−	10.4616i	−0.188844	−	0.581201i
$325$	0.336881	+	1.03681i	0.0186868	+	0.0575121i
$326$	9.63525	+	7.00042i	0.533647	+	0.387718i
$327$	24.1074	−	17.5150i	1.33314	−	0.968584i
$328$	2.76393	−	8.50651i	0.152613	−	0.469693i
$329$	−6.61803			−0.364864
$330$	−3.02786	+	3.44095i	−0.166678	+	0.189418i
$331$	−11.1246			−0.611464			−0.305732	−	0.952118i	$-0.598901\pi$
$331$	−11.1246			−0.611464			−0.305732	+	0.952118i	$0.598901\pi$
$332$	−2.66312	+	8.19624i	−0.146158	+	0.449827i
$333$	12.7082	−	9.23305i	0.696405	−	0.505968i
$334$	−7.78115	−	5.65334i	−0.425766	−	0.309337i
$335$	1.75329	+	5.39607i	0.0957924	+	0.294819i
$336$	0.690983	+	2.12663i	0.0376962	+	0.116017i
$337$	11.3541	+	8.24924i	0.618497	+	0.449365i	0.852396	−	0.522896i	$-0.175148\pi$
$337$	11.3541	+	8.24924i	0.618497	+	0.449365i	−0.233899	+	0.972261i	$0.575148\pi$
$338$	10.4721	−	7.60845i	0.569609	−	0.413845i
$339$	−2.56231	+	7.88597i	−0.139165	+	0.428307i
$340$	−0.145898			−0.00791243
$341$	−2.69098	+	28.7562i	−0.145725	+	1.55724i
$342$	10.0000			0.540738
$343$	−0.309017	+	0.951057i	−0.0166853	+	0.0513522i
$344$	1.50000	−	1.08981i	0.0808746	−	0.0587588i
$345$	−0.263932	−	0.191758i	−0.0142096	−	0.0103239i
$346$	−1.07295	−	3.30220i	−0.0576821	−	0.177527i
$347$	−5.39919	−	16.6170i	−0.289844	−	0.892047i	−0.984905	−	0.173096i	$-0.944623\pi$
$347$	−5.39919	−	16.6170i	−0.289844	−	0.892047i	0.695061	−	0.718950i	$-0.255377\pi$
$348$	−2.66312	−	1.93487i	−0.142758	−	0.103720i
$349$	−5.23607	+	3.80423i	−0.280280	+	0.203636i	−0.719040	−	0.694969i	$-0.755418\pi$
$349$	−5.23607	+	3.80423i	−0.280280	+	0.203636i	0.438759	+	0.898605i	$0.355418\pi$
$350$	1.42705	−	4.39201i	0.0762791	−	0.234763i
$351$	−0.527864			−0.0281753
$352$	−3.23607	+	0.726543i	−0.172483	+	0.0387248i
$353$	−7.20163			−0.383304			−0.191652	−	0.981463i	$-0.561384\pi$
$353$	−7.20163			−0.383304			−0.191652	+	0.981463i	$0.561384\pi$
$354$	−5.95492	+	18.3273i	−0.316500	+	0.974087i
$355$	6.73607	−	4.89404i	0.357513	−	0.259749i
$356$	2.35410	+	1.71036i	0.124767	+	0.0906486i
$357$	−0.163119	−	0.502029i	−0.00863317	−	0.0265702i
$358$	4.95492	+	15.2497i	0.261875	+	0.805970i
$359$	27.4894	+	19.9722i	1.45083	+	1.05409i	0.985636	+	0.168884i	$0.0540165\pi$
$359$	27.4894	+	19.9722i	1.45083	+	1.05409i	0.465197	+	0.885207i	$0.345984\pi$
$360$	−1.00000	+	0.726543i	−0.0527046	+	0.0382922i
$361$	1.85410	−	5.70634i	0.0975843	−	0.300334i
$362$	10.7639			0.565740
$363$	11.8090	−	21.5765i	0.619813	−	1.13247i
$364$	0.236068			0.0123733
$365$	1.83688	−	5.65334i	0.0961467	−	0.295909i
$366$	9.63525	−	7.00042i	0.503643	−	0.365918i
$367$	−18.3713	−	13.3475i	−0.958975	−	0.696736i	−0.00606273	−	0.999982i	$-0.501930\pi$
$367$	−18.3713	−	13.3475i	−0.958975	−	0.696736i	−0.952913	+	0.303245i	$0.901930\pi$
$368$	−0.0729490	−	0.224514i	−0.00380273	−	0.0117036i
$369$	5.52786	+	17.0130i	0.287769	+	0.885662i
$370$	3.92705	+	2.85317i	0.204158	+	0.148329i
$371$	6.66312	−	4.84104i	0.345932	−	0.251334i
$372$	−6.01722	+	18.5191i	−0.311978	+	0.960171i
$373$	10.7082			0.554450			0.277225	−	0.960805i	$-0.410585\pi$
$373$	10.7082			0.554450			0.277225	+	0.960805i	$0.410585\pi$
$374$	0.763932	−	0.171513i	0.0395020	−	0.00886875i
$375$	13.2918			0.686385
$376$	2.04508	−	6.29412i	0.105467	−	0.324595i
$377$	−0.281153	+	0.204270i	−0.0144801	+	0.0105204i
$378$	1.80902	+	1.31433i	0.0930458	+	0.0676017i
$379$	−0.309017	−	0.951057i	−0.0158731	−	0.0488525i	0.942806	−	0.333341i	$-0.108176\pi$
$379$	−0.309017	−	0.951057i	−0.0158731	−	0.0488525i	−0.958679	+	0.284489i	$0.908176\pi$
$380$	0.954915	+	2.93893i	0.0489861	+	0.150764i
$381$	7.92705	+	5.75934i	0.406115	+	0.295060i
$382$	20.7254	−	15.0579i	1.06040	−	0.770429i
$383$	2.89919	−	8.92278i	0.148142	−	0.455933i	−0.849260	−	0.527975i	$-0.822952\pi$
$383$	2.89919	−	8.92278i	0.148142	−	0.455933i	0.997402	+	0.0720420i	$0.0229516\pi$
$384$	−2.23607			−0.114109
$385$	0.190983	−	2.04087i	0.00973340	−	0.104012i
$386$	−14.7082			−0.748628
$387$	−1.14590	+	3.52671i	−0.0582493	+	0.179273i
$388$	10.8541	−	7.88597i	0.551034	−	0.400349i
$389$	−5.50000	−	3.99598i	−0.278861	−	0.202604i	0.439559	−	0.898214i	$-0.355135\pi$
$389$	−5.50000	−	3.99598i	−0.278861	−	0.202604i	−0.718420	+	0.695609i	$0.755135\pi$
$390$	0.100813	+	0.310271i	0.00510487	+	0.0157112i
$391$	0.0172209	+	0.0530006i	0.000870900	+	0.00268035i
$392$	−0.809017	−	0.587785i	−0.0408615	−	0.0296876i
$393$	29.2705	−	21.2663i	1.47650	−	1.07274i
$394$	−1.51722	+	4.66953i	−0.0764365	+	0.235247i
$395$	9.27051			0.466450
$396$	4.38197	−	4.97980i	0.220202	−	0.250244i
$397$	−10.4164			−0.522785			−0.261392	−	0.965233i	$-0.584182\pi$
$397$	−10.4164			−0.522785			−0.261392	+	0.965233i	$0.584182\pi$
$398$	−5.18034	+	15.9434i	−0.259667	+	0.799173i
$399$	−9.04508	+	6.57164i	−0.452821	+	0.328993i
$400$	3.73607	+	2.71441i	0.186803	+	0.135721i
$401$	−3.54508	−	10.9106i	−0.177033	−	0.544852i	0.822687	−	0.568494i	$-0.192474\pi$
$401$	−3.54508	−	10.9106i	−0.177033	−	0.544852i	−0.999720	+	0.0236422i	$0.992474\pi$
$402$	−6.34346	−	19.5232i	−0.316383	−	0.973727i
$403$	1.66312	+	1.20833i	0.0828459	+	0.0601910i
$404$	3.42705	−	2.48990i	0.170502	−	0.123877i
$405$	−2.10081	+	6.46564i	−0.104390	+	0.321280i
$406$	1.47214			0.0730609
$407$	−23.9164	−	10.3229i	−1.18549	−	0.511685i
$408$	0.527864			0.0261332
$409$	4.63525	−	14.2658i	0.229199	−	0.705401i	−0.768640	−	0.639682i	$-0.779066\pi$
$409$	4.63525	−	14.2658i	0.229199	−	0.705401i	0.997838	−	0.0657187i	$-0.0209340\pi$
$410$	−4.47214	+	3.24920i	−0.220863	+	0.160466i
$411$	−2.76393	−	2.00811i	−0.136335	−	0.0990530i
$412$	3.35410	+	10.3229i	0.165245	+	0.508571i
$413$	−2.66312	−	8.19624i	−0.131044	−	0.403310i
$414$	0.381966	+	0.277515i	0.0187726	+	0.0136391i
$415$	4.30902	−	3.13068i	0.211521	−	0.153679i
$416$	−0.0729490	+	0.224514i	−0.00357662	+	0.0110077i
$417$	13.4164			0.657004
$418$	−8.45492	−	14.2658i	−0.413543	−	0.697765i
$419$	25.1459			1.22846			0.614229	−	0.789128i	$-0.289467\pi$
$419$	25.1459			1.22846			0.614229	+	0.789128i	$0.289467\pi$
$420$	0.427051	−	1.31433i	0.0208380	−	0.0641326i
$421$	−4.28115	+	3.11044i	−0.208651	+	0.151594i	−0.687203	−	0.726465i	$-0.741162\pi$
$421$	−4.28115	+	3.11044i	−0.208651	+	0.151594i	0.478552	+	0.878059i	$0.341162\pi$
$422$	−11.7533	−	8.53926i	−0.572141	−	0.415685i
$423$	4.09017	+	12.5882i	0.198871	+	0.612062i
$424$	2.54508	+	7.83297i	0.123600	+	0.380402i
$425$	−0.881966	−	0.640786i	−0.0427816	−	0.0310827i
$426$	−24.3713	+	17.7068i	−1.18079	+	0.857897i
$427$	−1.64590	+	5.06555i	−0.0796506	+	0.245139i
$428$	15.2705			0.738128
$429$	−0.892609	−	1.50609i	−0.0430956	−	0.0727145i
$430$	−1.14590			−0.0552601
$431$	6.51064	−	20.0377i	0.313607	−	0.965182i	−0.662718	−	0.748869i	$-0.730597\pi$
$431$	6.51064	−	20.0377i	0.313607	−	0.965182i	0.976324	−	0.216313i	$-0.0694030\pi$
$432$	−1.80902	+	1.31433i	−0.0870364	+	0.0632356i
$433$	−26.9894	−	19.6089i	−1.29703	−	0.942344i	−0.297104	−	0.954845i	$-0.596021\pi$
$433$	−26.9894	−	19.6089i	−1.29703	−	0.942344i	−0.999922	+	0.0125008i	$0.996021\pi$
$434$	−2.69098	−	8.28199i	−0.129171	−	0.397548i
$435$	0.628677	+	1.93487i	0.0301428	+	0.0927699i
$436$	−10.7812	−	7.83297i	−0.516324	−	0.375131i
$437$	0.954915	−	0.693786i	0.0456798	−	0.0331883i
$438$	−6.64590	+	20.4540i	−0.317553	+	0.977329i
$439$	−25.1246			−1.19913			−0.599566	−	0.800325i	$-0.704660\pi$
$439$	−25.1246			−1.19913			−0.599566	+	0.800325i	$0.704660\pi$
$440$	1.88197	+	0.812299i	0.0897192	+	0.0387248i
$441$	2.00000			0.0952381
$442$	0.0172209	−	0.0530006i	0.000819116	−	0.00252098i
$443$	−5.07295	+	3.68571i	−0.241023	+	0.175114i	−0.701739	−	0.712434i	$-0.747593\pi$
$443$	−5.07295	+	3.68571i	−0.241023	+	0.175114i	0.460716	+	0.887548i	$0.347593\pi$
$444$	−14.2082	−	10.3229i	−0.674292	−	0.489901i
$445$	−0.555728	−	1.71036i	−0.0263440	−	0.0810786i
$446$	−2.55573	−	7.86572i	−0.121017	−	0.372453i
$447$	10.9164	+	7.93123i	0.516328	+	0.375135i
$448$	0.809017	−	0.587785i	0.0382225	−	0.0277702i
$449$	−1.28115	+	3.94298i	−0.0604613	+	0.186081i	−0.976725	−	0.214494i	$-0.931190\pi$
$449$	−1.28115	+	3.94298i	−0.0604613	+	0.186081i	0.916264	+	0.400575i	$0.131190\pi$
$450$	−9.23607			−0.435392
$451$	19.5967	−	22.2703i	0.922775	−	1.04867i
$452$	3.70820			0.174419
$453$	−16.1803	+	49.7980i	−0.760219	+	2.33971i
$454$	23.2984	−	16.9273i	1.09345	−	0.794436i
$455$	−0.118034	−	0.0857567i	−0.00553352	−	0.00402034i
$456$	−3.45492	−	10.6331i	−0.161791	−	0.497942i
$457$	9.70820	+	29.8788i	0.454131	+	1.39767i	0.872153	+	0.489234i	$0.162723\pi$
$457$	9.70820	+	29.8788i	0.454131	+	1.39767i	−0.418022	+	0.908437i	$0.637277\pi$
$458$	−0.454915	−	0.330515i	−0.0212568	−	0.0154440i
$459$	0.427051	−	0.310271i	0.0199330	−	0.0144822i
$460$	−0.0450850	+	0.138757i	−0.00210210	+	0.00646959i
$461$	24.7984			1.15498			0.577488	−	0.816399i	$-0.304033\pi$
$461$	24.7984			1.15498			0.577488	+	0.816399i	$0.304033\pi$
$462$	−0.690983	+	7.38394i	−0.0321474	+	0.343532i
$463$	−7.14590			−0.332098			−0.166049	−	0.986117i	$-0.553101\pi$
$463$	−7.14590			−0.332098			−0.166049	+	0.986117i	$0.553101\pi$
$464$	−0.454915	+	1.40008i	−0.0211189	+	0.0649973i
$465$	9.73607	−	7.07367i	0.451499	−	0.328033i
$466$	−14.9443	−	10.8576i	−0.692280	−	0.502971i
$467$	−8.72542	−	26.8541i	−0.403765	−	1.24266i	−0.921922	−	0.387374i	$-0.873382\pi$
$467$	−8.72542	−	26.8541i	−0.403765	−	1.24266i	0.518158	−	0.855285i	$-0.326618\pi$
$468$	−0.145898	−	0.449028i	−0.00674414	−	0.0207563i
$469$	7.42705	+	5.39607i	0.342949	+	0.249167i
$470$	−3.30902	+	2.40414i	−0.152634	+	0.110895i
$471$	15.4894	−	47.6713i	0.713712	−	2.19658i
$472$	8.61803			0.396677
$473$	6.00000	−	1.34708i	0.275880	−	0.0619390i
$474$	−33.5410			−1.54059
$475$	−7.13525	+	21.9601i	−0.327388	+	1.00760i
$476$	−0.190983	+	0.138757i	−0.00875369	+	0.00635993i
$477$	−13.3262	−	9.68208i	−0.610167	−	0.443312i
$478$	−8.42705	−	25.9358i	−0.385444	−	1.18628i
$479$	11.0902	+	34.1320i	0.506723	+	1.55953i	0.797855	+	0.602850i	$0.205968\pi$
$479$	11.0902	+	34.1320i	0.506723	+	1.55953i	−0.291132	+	0.956683i	$0.594032\pi$
$480$	1.11803	+	0.812299i	0.0510310	+	0.0370762i
$481$	−1.50000	+	1.08981i	−0.0683941	+	0.0496912i
$482$	0.298374	−	0.918300i	0.0135906	−	0.0418274i
$483$	−0.527864			−0.0240186
$484$	−10.8090	−	2.04087i	−0.491319	−	0.0927668i
$485$	−8.29180			−0.376511
$486$	5.52786	−	17.0130i	0.250749	−	0.771726i
$487$	−12.9894	+	9.43732i	−0.588604	+	0.427646i	−0.841816	−	0.539765i	$-0.818513\pi$
$487$	−12.9894	+	9.43732i	−0.588604	+	0.427646i	0.253212	+	0.967411i	$0.418513\pi$
$488$	−4.30902	−	3.13068i	−0.195060	−	0.141719i
$489$	8.22949	+	25.3278i	0.372150	+	1.14536i
$490$	0.190983	+	0.587785i	0.00862773	+	0.0265534i
$491$	−11.7812	−	8.55951i	−0.531676	−	0.386285i	0.289308	−	0.957236i	$-0.406575\pi$
$491$	−11.7812	−	8.55951i	−0.531676	−	0.386285i	−0.820984	+	0.570951i	$0.806575\pi$
$492$	16.1803	−	11.7557i	0.729466	−	0.529988i
$493$	0.107391	−	0.330515i	0.00483664	−	0.0148857i
$494$	−1.18034			−0.0531060
$495$	−4.00000	+	0.898056i	−0.179787	+	0.0403646i
$496$	8.70820			0.391010
$497$	4.16312	−	12.8128i	0.186741	−	0.574731i
$498$	−15.5902	+	11.3269i	−0.698612	+	0.507571i
$499$	−5.66312	−	4.11450i	−0.253516	−	0.184190i	0.453768	−	0.891120i	$-0.350080\pi$
$499$	−5.66312	−	4.11450i	−0.253516	−	0.184190i	−0.707284	+	0.706930i	$0.750080\pi$
$500$	−1.83688	−	5.65334i	−0.0821478	−	0.252825i
$501$	−6.64590	−	20.4540i	−0.296917	−	0.913816i
$502$	12.0902	+	8.78402i	0.539611	+	0.392050i
$503$	12.2812	−	8.92278i	0.547590	−	0.397847i	−0.279306	−	0.960202i	$-0.590105\pi$
$503$	12.2812	−	8.92278i	0.547590	−	0.397847i	0.826896	+	0.562355i	$0.190105\pi$
$504$	−0.618034	+	1.90211i	−0.0275294	+	0.0847268i
$505$	−2.61803			−0.116501
$506$	0.0729490	−	0.779543i	0.00324298	−	0.0346549i
$507$	28.9443			1.28546
$508$	1.35410	−	4.16750i	0.0600786	−	0.184903i
$509$	−13.8541	+	10.0656i	−0.614072	+	0.446150i	−0.850846	−	0.525415i	$-0.823910\pi$
$509$	−13.8541	+	10.0656i	−0.614072	+	0.446150i	0.236774	+	0.971565i	$0.423910\pi$
$510$	−0.263932	−	0.191758i	−0.0116871	−	0.00849118i
$511$	−2.97214	−	9.14729i	−0.131480	−	0.404652i
$512$	0.309017	+	0.951057i	0.0136568	+	0.0420312i
$513$	−9.04508	−	6.57164i	−0.399350	−	0.290145i
$514$	1.80902	−	1.31433i	0.0797923	−	0.0579725i
$515$	2.07295	−	6.37988i	0.0913450	−	0.281131i
$516$	4.14590			0.182513
$517$	14.5000	−	16.4782i	0.637709	−	0.724712i
$518$	7.85410			0.345089
$519$	2.39919	−	7.38394i	0.105313	−	0.324119i
$520$	0.118034	−	0.0857567i	0.00517613	−	0.00376068i
$521$	28.9615	+	21.0418i	1.26883	+	0.921856i	0.999155	−	0.0410965i	$-0.0130851\pi$
$521$	28.9615	+	21.0418i	1.26883	+	0.921856i	0.269671	+	0.962953i	$0.413085\pi$
$522$	−0.909830	−	2.80017i	−0.0398222	−	0.122560i
$523$	8.89261	+	27.3686i	0.388847	+	1.19675i	0.933651	+	0.358184i	$0.116604\pi$
$523$	8.89261	+	27.3686i	0.388847	+	1.19675i	−0.544804	+	0.838563i	$0.683396\pi$
$524$	−13.0902	−	9.51057i	−0.571847	−	0.415471i
$525$	8.35410	−	6.06961i	0.364603	−	0.264900i
$526$	1.75329	−	5.39607i	0.0764470	−	0.235280i
$527$	−2.05573			−0.0895489
$528$	−6.80902	−	2.93893i	−0.296324	−	0.127900i
$529$	−22.9443			−0.997577
$530$	1.57295	−	4.84104i	0.0683245	−	0.210281i
$531$	−13.9443	+	10.1311i	−0.605130	+	0.439653i
$532$	4.04508	+	2.93893i	0.175377	+	0.127419i
$533$	−0.652476	−	2.00811i	−0.0282619	−	0.0869811i
$534$	2.01064	+	6.18812i	0.0870090	+	0.267786i
$535$	−7.63525	−	5.54734i	−0.330101	−	0.239832i
$536$	−7.42705	+	5.39607i	−0.320800	+	0.233075i
$537$	−11.0795	+	34.0993i	−0.478117	+	1.47149i
$538$	19.3820			0.835616
$539$	−1.69098	−	2.85317i	−0.0728358	−	0.122895i
$540$	1.38197			0.0594703
$541$	8.20163	−	25.2420i	0.352615	−	1.08524i	−0.604764	−	0.796405i	$-0.706732\pi$
$541$	8.20163	−	25.2420i	0.352615	−	1.08524i	0.957379	−	0.288834i	$-0.0932675\pi$
$542$	1.16312	−	0.845055i	0.0499602	−	0.0362982i
$543$	19.4721	+	14.1473i	0.835629	+	0.607120i
$544$	−0.0729490	−	0.224514i	−0.00312766	−	0.00962596i
$545$	2.54508	+	7.83297i	0.109019	+	0.335527i
$546$	0.427051	+	0.310271i	0.0182761	+	0.0132784i
$547$	−13.1353	+	9.54332i	−0.561623	+	0.408043i	−0.832053	−	0.554697i	$-0.812834\pi$
$547$	−13.1353	+	9.54332i	−0.561623	+	0.408043i	0.270430	+	0.962740i	$0.412834\pi$
$548$	−0.472136	+	1.45309i	−0.0201686	+	0.0620727i
$549$	10.6525			0.454637
$550$	7.80902	+	13.1760i	0.332978	+	0.561828i
$551$	−7.36068			−0.313576
$552$	0.163119	−	0.502029i	0.00694280	−	0.0213678i
$553$	12.1353	−	8.81678i	0.516044	−	0.374928i
$554$	−1.38197	−	1.00406i	−0.0587141	−	0.0426583i
$555$	3.35410	+	10.3229i	0.142374	+	0.438181i
$556$	−1.85410	−	5.70634i	−0.0786314	−	0.242003i
$557$	1.80902	+	1.31433i	0.0766505	+	0.0556899i	0.625451	−	0.780264i	$-0.284915\pi$
$557$	1.80902	+	1.31433i	0.0766505	+	0.0556899i	−0.548800	+	0.835954i	$0.684915\pi$
$558$	−14.0902	+	10.2371i	−0.596484	+	0.433371i
$559$	0.135255	−	0.416272i	0.00572067	−	0.0176064i
$560$	−0.618034			−0.0261167
$561$	1.60739	+	0.693786i	0.0678641	+	0.0292917i
$562$	−13.9098			−0.586751
$563$	−3.90983	+	12.0332i	−0.164780	+	0.507140i	−0.999020	−	0.0442613i	$-0.985907\pi$
$563$	−3.90983	+	12.0332i	−0.164780	+	0.507140i	0.834240	+	0.551401i	$0.185907\pi$
$564$	11.9721	−	8.69827i	0.504118	−	0.366263i
$565$	−1.85410	−	1.34708i	−0.0780027	−	0.0566722i
$566$	3.92705	+	12.0862i	0.165066	+	0.508022i
$567$	3.39919	+	10.4616i	0.142752	+	0.439347i
$568$	10.8992	+	7.91872i	0.457320	+	0.332262i
$569$	30.2426	−	21.9726i	1.26784	−	0.921138i	0.268723	−	0.963217i	$-0.413398\pi$
$569$	30.2426	−	21.9726i	1.26784	−	0.921138i	0.999114	+	0.0420794i	$0.0133982\pi$
$570$	−2.13525	+	6.57164i	−0.0894360	+	0.275256i
$571$	23.7639			0.994490			0.497245	−	0.867610i	$-0.334345\pi$
$571$	23.7639			0.994490			0.497245	+	0.867610i	$0.334345\pi$
$572$	−0.517221	+	0.587785i	−0.0216261	+	0.0245765i
$573$	57.2837			2.39306
$574$	−2.76393	+	8.50651i	−0.115364	+	0.355055i
$575$	−0.881966	+	0.640786i	−0.0367805	+	0.0267226i
$576$	−1.61803	−	1.17557i	−0.0674181	−	0.0489821i
$577$	9.86475	+	30.3606i	0.410675	+	1.26393i	0.916063	+	0.401035i	$0.131349\pi$
$577$	9.86475	+	30.3606i	0.410675	+	1.26393i	−0.505388	+	0.862892i	$0.668651\pi$
$578$	−5.23607	−	16.1150i	−0.217792	−	0.670294i
$579$	−26.6074	−	19.3314i	−1.10577	−	0.803386i
$580$	0.736068	−	0.534785i	0.0305636	−	0.0222057i
$581$	2.66312	−	8.19624i	0.110485	−	0.340037i
$582$	30.0000			1.24354
$583$	−2.54508	+	27.1971i	−0.105407	+	1.12639i
$584$	9.61803			0.397997
$585$	−0.0901699	+	0.277515i	−0.00372807	+	0.0114738i
$586$	−5.16312	+	3.75123i	−0.213286	+	0.154962i
$587$	−24.8435	−	18.0498i	−1.02540	−	0.744996i	−0.0580166	−	0.998316i	$-0.518478\pi$
$587$	−24.8435	−	18.0498i	−1.02540	−	0.744996i	−0.967383	+	0.253319i	$0.918478\pi$
$588$	−0.690983	−	2.12663i	−0.0284957	−	0.0877006i
$589$	13.4549	+	41.4100i	0.554400	+	1.70627i
$590$	−4.30902	−	3.13068i	−0.177399	−	0.128888i
$591$	−8.88197	+	6.45313i	−0.365355	+	0.265446i
$592$	−2.42705	+	7.46969i	−0.0997512	+	0.307003i
$593$	−39.7082			−1.63062			−0.815310	−	0.579024i	$-0.803434\pi$
$593$	−39.7082			−1.63062			−0.815310	+	0.579024i	$0.803434\pi$
$594$	−7.23607	+	1.62460i	−0.296899	+	0.0666581i
$595$	0.145898			0.00598124
$596$	1.86475	−	5.73910i	0.0763829	−	0.235083i
$597$	−30.3262	+	22.0333i	−1.24117	+	0.901763i
$598$	−0.0450850	−	0.0327561i	−0.00184366	−	0.00133950i
$599$	−6.21885	−	19.1396i	−0.254095	−	0.782025i	−0.994007	−	0.109320i	$-0.965133\pi$
$599$	−6.21885	−	19.1396i	−0.254095	−	0.782025i	0.739911	−	0.672704i	$-0.234867\pi$
$600$	3.19098	+	9.82084i	0.130271	+	0.400934i
$601$	−32.9336	−	23.9277i	−1.34339	−	0.976031i	−0.999312	−	0.0370897i	$-0.988191\pi$
$601$	−32.9336	−	23.9277i	−1.34339	−	0.976031i	−0.344079	−	0.938941i	$-0.611809\pi$
$602$	−1.50000	+	1.08981i	−0.0611354	+	0.0444175i
$603$	5.67376	−	17.4620i	0.231053	−	0.711109i
$604$	23.4164			0.952800
$605$	4.66312	+	4.94704i	0.189583	+	0.201126i
$606$	9.47214			0.384779
$607$	1.50000	−	4.61653i	0.0608831	−	0.187379i	−0.915989	−	0.401203i	$-0.868592\pi$
$607$	1.50000	−	4.61653i	0.0608831	−	0.187379i	0.976872	+	0.213824i	$0.0685920\pi$
$608$	−4.04508	+	2.93893i	−0.164050	+	0.119189i
$609$	2.66312	+	1.93487i	0.107915	+	0.0784049i
$610$	1.01722	+	3.13068i	0.0411861	+	0.126758i
$611$	−0.482779	−	1.48584i	−0.0195312	−	0.0601107i
$612$	0.381966	+	0.277515i	0.0154401	+	0.0112179i
$613$	−26.6803	+	19.3844i	−1.07761	+	0.782929i	−0.977264	−	0.212024i	$-0.931994\pi$
$613$	−26.6803	+	19.3844i	−1.07761	+	0.782929i	−0.100344	+	0.994953i	$0.531994\pi$
$614$	−9.78115	+	30.1033i	−0.394735	+	1.21487i
$615$	−12.3607			−0.498431
$616$	3.23607	−	0.726543i	0.130385	−	0.0292732i
$617$	−25.4721			−1.02547			−0.512735	−	0.858547i	$-0.671368\pi$
$617$	−25.4721			−1.02547			−0.512735	+	0.858547i	$0.671368\pi$
$618$	−7.50000	+	23.0826i	−0.301694	+	0.928519i
$619$	−25.9615	+	18.8621i	−1.04348	+	0.758133i	−0.970962	−	0.239234i	$-0.923104\pi$
$619$	−25.9615	+	18.8621i	−1.04348	+	0.758133i	−0.0725186	+	0.997367i	$0.523104\pi$
$620$	−4.35410	−	3.16344i	−0.174865	−	0.127047i
$621$	−0.163119	−	0.502029i	−0.00654574	−	0.0201457i
$622$	2.30902	+	7.10642i	0.0925831	+	0.284942i
$623$	−2.35410	−	1.71036i	−0.0943151	−	0.0685239i
$624$	−0.427051	+	0.310271i	−0.0170957	+	0.0124208i
$625$	6.00000	−	18.4661i	0.240000	−	0.738644i
$626$	0.673762			0.0269289
$627$	3.45492	−	36.9197i	0.137976	−	1.47443i
$628$	−22.4164			−0.894512
$629$	0.572949	−	1.76336i	0.0228450	−	0.0703096i
$630$	1.00000	−	0.726543i	0.0398410	−	0.0289461i
$631$	16.8713	+	12.2577i	0.671637	+	0.487973i	0.870573	−	0.492040i	$-0.163749\pi$
$631$	16.8713	+	12.2577i	0.671637	+	0.487973i	−0.198936	+	0.980012i	$0.563749\pi$
$632$	4.63525	+	14.2658i	0.184381	+	0.567465i
$633$	−10.0385	−	30.8953i	−0.398995	−	1.22798i
$634$	24.1353	+	17.5353i	0.958533	+	0.696415i
$635$	−2.19098	+	1.59184i	−0.0869465	+	0.0631703i
$636$	−5.69098	+	17.5150i	−0.225662	+	0.694517i
$637$	−0.236068			−0.00935335
$638$	−3.22542	+	3.66547i	−0.127696	+	0.145117i
$639$	−26.9443			−1.06590
$640$	0.190983	−	0.587785i	0.00754927	−	0.0232343i
$641$	−18.5172	+	13.4535i	−0.731386	+	0.531383i	−0.890002	−	0.455957i	$-0.849297\pi$
$641$	−18.5172	+	13.4535i	−0.731386	+	0.531383i	0.158615	+	0.987340i	$0.449297\pi$
$642$	27.6246	+	20.0705i	1.09026	+	0.792118i
$643$	10.1976	+	31.3849i	0.402153	+	1.23770i	0.923250	+	0.384201i	$0.125523\pi$
$643$	10.1976	+	31.3849i	0.402153	+	1.23770i	−0.521097	+	0.853497i	$0.674477\pi$
$644$	0.0729490	+	0.224514i	0.00287459	+	0.00884709i
$645$	−2.07295	−	1.50609i	−0.0816223	−	0.0593021i
$646$	0.954915	−	0.693786i	0.0375706	−	0.0272967i
$647$	−1.42047	+	4.37177i	−0.0558446	+	0.171872i	−0.975088	−	0.221817i	$-0.928801\pi$
$647$	−1.42047	+	4.37177i	−0.0558446	+	0.171872i	0.919244	+	0.393689i	$0.128801\pi$
$648$	−11.0000			−0.432121
$649$	26.2426	+	11.3269i	1.03011	+	0.444621i
$650$	1.09017			0.0427600
$651$	6.01722	−	18.5191i	0.235833	−	0.725821i
$652$	9.63525	−	7.00042i	0.377346	−	0.274158i
$653$	−14.9443	−	10.8576i	−0.584815	−	0.424893i	0.255642	−	0.966772i	$-0.417713\pi$
$653$	−14.9443	−	10.8576i	−0.584815	−	0.424893i	−0.840457	+	0.541879i	$0.817713\pi$
$654$	−9.20820	−	28.3399i	−0.360069	−	1.10818i
$655$	3.09017	+	9.51057i	0.120743	+	0.371609i
$656$	−7.23607	−	5.25731i	−0.282521	−	0.205264i
$657$	−15.5623	+	11.3067i	−0.607143	+	0.441115i
$658$	−2.04508	+	6.29412i	−0.0797257	+	0.245371i
$659$	−38.5066			−1.50000			−0.750002	−	0.661436i	$-0.769947\pi$
$659$	−38.5066			−1.50000			−0.750002	+	0.661436i	$0.769947\pi$
$660$	2.33688	+	3.94298i	0.0909630	+	0.153480i
$661$	−0.0344419			−0.00133963			−0.000669816	−	1.00000i	$-0.500213\pi$
$661$	−0.0344419			−0.00133963			−0.000669816		1.00000i	$0.500213\pi$
$662$	−3.43769	+	10.5801i	−0.133610	+	0.411209i
$663$	0.100813	−	0.0732450i	0.00391525	−	0.00284460i
$664$	6.97214	+	5.06555i	0.270571	+	0.196582i
$665$	−0.954915	−	2.93893i	−0.0370300	−	0.113967i
$666$	−4.85410	−	14.9394i	−0.188093	−	0.578890i
$667$	−0.281153	−	0.204270i	−0.0108863	−	0.00790935i
$668$	−7.78115	+	5.65334i	−0.301062	+	0.218734i
$669$	5.71478	−	17.5883i	0.220946	−	0.680003i
$670$	5.67376			0.219197
$671$	−9.00658	−	15.1967i	−0.347695	−	0.586661i
$672$	2.23607			0.0862582
$673$	−10.0172	+	30.8298i	−0.386135	+	1.18840i	0.549518	+	0.835482i	$0.314811\pi$
$673$	−10.0172	+	30.8298i	−0.386135	+	1.18840i	−0.935653	+	0.352921i	$0.885189\pi$
$674$	11.3541	−	8.24924i	0.437344	−	0.317749i
$675$	8.35410	+	6.06961i	0.321550	+	0.233619i
$676$	−4.00000	−	12.3107i	−0.153846	−	0.473490i
$677$	−6.76393	−	20.8172i	−0.259959	−	0.800072i	−0.992812	−	0.119685i	$-0.961812\pi$
$677$	−6.76393	−	20.8172i	−0.259959	−	0.800072i	0.732853	−	0.680387i	$-0.238188\pi$
$678$	6.70820	+	4.87380i	0.257627	+	0.187177i
$679$	−10.8541	+	7.88597i	−0.416542	+	0.302636i
$680$	−0.0450850	+	0.138757i	−0.00172893	+	0.00532110i
$681$	64.3951			2.46763
$682$	26.5172	+	11.4454i	1.01540	+	0.438268i
$683$	36.7984			1.40805			0.704025	−	0.710175i	$-0.251384\pi$
$683$	36.7984			1.40805			0.704025	+	0.710175i	$0.251384\pi$
$684$	3.09017	−	9.51057i	0.118156	−	0.363646i
$685$	0.763932	−	0.555029i	0.0291883	−	0.0212066i
$686$	0.809017	+	0.587785i	0.0308884	+	0.0224417i
$687$	−0.388544	−	1.19581i	−0.0148239	−	0.0456232i
$688$	−0.572949	−	1.76336i	−0.0218435	−	0.0672273i
$689$	1.57295	+	1.14281i	0.0599246	+	0.0435378i
$690$	−0.263932	+	0.191758i	−0.0100477	+	0.00730010i
$691$	11.5000	−	35.3934i	0.437481	−	1.34643i	−0.453043	−	0.891489i	$-0.649661\pi$
$691$	11.5000	−	35.3934i	0.437481	−	1.34643i	0.890523	−	0.454938i	$-0.150339\pi$
$692$	−3.47214			−0.131991
$693$	−4.38197	+	4.97980i	−0.166457	+	0.189167i
$694$	−17.4721			−0.663233
$695$	−1.14590	+	3.52671i	−0.0434664	+	0.133776i
$696$	−2.66312	+	1.93487i	−0.100945	+	0.0733410i
$697$	1.70820	+	1.24108i	0.0647028	+	0.0470094i
$698$	2.00000	+	6.15537i	0.0757011	+	0.232984i
$699$	−12.7639	−	39.2833i	−0.482776	−	1.48583i
$700$	−3.73607	−	2.71441i	−0.141210	−	0.102595i
$701$	10.8541	−	7.88597i	0.409954	−	0.297849i	−0.363629	−	0.931544i	$-0.618463\pi$
$701$	10.8541	−	7.88597i	0.409954	−	0.297849i	0.773583	+	0.633695i	$0.218463\pi$
$702$	−0.163119	+	0.502029i	−0.00615653	+	0.0189478i
$703$	−39.2705			−1.48112
$704$	−0.309017	+	3.30220i	−0.0116465	+	0.124456i
$705$	−9.14590			−0.344454
$706$	−2.22542	+	6.84915i	−0.0837550	+	0.257771i
$707$	−3.42705	+	2.48990i	−0.128888	+	0.0936423i
$708$	15.5902	+	11.3269i	0.585914	+	0.425692i
$709$	4.61146	+	14.1926i	0.173187	+	0.533014i	0.999546	−	0.0301291i	$-0.00959184\pi$
$709$	4.61146	+	14.1926i	0.173187	+	0.533014i	−0.826359	+	0.563143i	$0.809592\pi$
$710$	−2.57295	−	7.91872i	−0.0965611	−	0.297184i
$711$	−24.2705	−	17.6336i	−0.910215	−	0.661310i
$712$	2.35410	−	1.71036i	0.0882237	−	0.0640983i
$713$	−0.635255	+	1.95511i	−0.0237905	+	0.0732196i
$714$	−0.527864			−0.0197548
$715$	0.472136	−	0.106001i	0.0176569	−	0.00396422i
$716$	16.0344			0.599235
$717$	18.8435	−	57.9942i	0.703722	−	2.16583i
$718$	27.4894	−	19.9722i	1.02589	−	0.745355i
$719$	38.3435	+	27.8582i	1.42997	+	1.03893i	0.990022	+	0.140910i	$0.0450029\pi$
$719$	38.3435	+	27.8582i	1.42997	+	1.03893i	0.439947	+	0.898024i	$0.354997\pi$
$720$	0.381966	+	1.17557i	0.0142350	+	0.0438109i
$721$	−3.35410	−	10.3229i	−0.124913	−	0.384444i
$722$	−4.85410	−	3.52671i	−0.180651	−	0.131251i
$723$	1.74671	−	1.26906i	0.0649609	−	0.0471968i
$724$	3.32624	−	10.2371i	0.123619	−	0.380459i
$725$	6.79837			0.252485
$726$	−16.8713	−	17.8986i	−0.626154	−	0.664278i
$727$	0.416408			0.0154437			0.00772186	−	0.999970i	$-0.497542\pi$
$727$	0.416408			0.0154437			0.00772186	+	0.999970i	$0.497542\pi$
$728$	0.0729490	−	0.224514i	0.00270367	−	0.00832104i
$729$	5.66312	−	4.11450i	0.209745	−	0.152389i
$730$	−4.80902	−	3.49396i	−0.177990	−	0.129317i
$731$	0.135255	+	0.416272i	0.00500258	+	0.0153964i
$732$	−3.68034	−	11.3269i	−0.136029	−	0.418655i
$733$	15.8262	+	11.4984i	0.584555	+	0.424704i	0.840364	−	0.542023i	$-0.182342\pi$
$733$	15.8262	+	11.4984i	0.584555	+	0.424704i	−0.255808	+	0.966728i	$0.582342\pi$
$734$	−18.3713	+	13.3475i	−0.678098	+	0.492667i
$735$	−0.427051	+	1.31433i	−0.0157520	+	0.0484797i
$736$	−0.236068			−0.00870158
$737$	−29.7082	+	6.66991i	−1.09432	+	0.245689i
$738$	17.8885			0.658486
$739$	6.79837	−	20.9232i	0.250082	−	0.769674i	−0.744677	−	0.667425i	$-0.767396\pi$
$739$	6.79837	−	20.9232i	0.250082	−	0.769674i	0.994759	−	0.102249i	$-0.0326037\pi$
$740$	3.92705	−	2.85317i	0.144361	−	0.104885i
$741$	−2.13525	−	1.55135i	−0.0784405	−	0.0569904i
$742$	−2.54508	−	7.83297i	−0.0934330	−	0.287557i
$743$	2.39919	+	7.38394i	0.0880176	+	0.270890i	0.985371	−	0.170422i	$-0.0545131\pi$
$743$	2.39919	+	7.38394i	0.0880176	+	0.270890i	−0.897354	+	0.441312i	$0.854513\pi$
$744$	15.7533	+	11.4454i	0.577544	+	0.419610i
$745$	−3.01722	+	2.19214i	−0.110542	+	0.0803138i
$746$	3.30902	−	10.1841i	0.121152	−	0.372867i
$747$	−17.2361			−0.630635
$748$	0.0729490	−	0.779543i	0.00266728	−	0.0285029i
$749$	−15.2705			−0.557972
$750$	4.10739	−	12.6412i	0.149981	−	0.461593i
$751$	14.7082	−	10.6861i	0.536710	−	0.389943i	−0.286152	−	0.958184i	$-0.592376\pi$
$751$	14.7082	−	10.6861i	0.536710	−	0.389943i	0.822862	+	0.568242i	$0.192376\pi$
$752$	−5.35410	−	3.88998i	−0.195244	−	0.141853i
$753$	10.3262	+	31.7809i	0.376309	+	1.15816i
$754$	0.107391	+	0.330515i	0.00391094	+	0.0120367i
$755$	−11.7082	−	8.50651i	−0.426105	−	0.309584i
$756$	1.80902	−	1.31433i	0.0657933	−	0.0478016i
$757$	−4.47871	+	13.7841i	−0.162782	+	0.500990i	−0.998866	−	0.0476106i	$-0.984839\pi$
$757$	−4.47871	+	13.7841i	−0.162782	+	0.500990i	0.836084	+	0.548601i	$0.184839\pi$
$758$	−1.00000			−0.0363216
$759$	1.15654	−	1.31433i	0.0419798	−	0.0477071i
$760$	3.09017			0.112092
$761$	6.03444	−	18.5721i	0.218748	−	0.673238i	−0.780118	−	0.625633i	$-0.784841\pi$
$761$	6.03444	−	18.5721i	0.218748	−	0.673238i	0.998866	−	0.0476056i	$-0.0151591\pi$
$762$	7.92705	−	5.75934i	0.287167	−	0.208639i
$763$	10.7812	+	7.83297i	0.390304	+	0.283572i
$764$	−7.91641	−	24.3642i	−0.286406	−	0.881466i
$765$	−0.0901699	−	0.277515i	−0.00326010	−	0.0100336i
$766$	−7.59017	−	5.51458i	−0.274244	−	0.199250i
$767$	1.64590	−	1.19581i	0.0594299	−	0.0431784i
$768$	−0.690983	+	2.12663i	−0.0249337	+	0.0767380i
$769$	4.85410			0.175043			0.0875217	−	0.996163i	$-0.472105\pi$
$769$	4.85410			0.175043			0.0875217	+	0.996163i	$0.472105\pi$
$770$	−1.88197	−	0.812299i	−0.0678213	−	0.0292732i
$771$	5.00000			0.180071
$772$	−4.54508	+	13.9883i	−0.163581	+	0.503451i
$773$	−10.0902	+	7.33094i	−0.362918	+	0.263675i	−0.754268	−	0.656566i	$-0.772008\pi$
$773$	−10.0902	+	7.33094i	−0.362918	+	0.263675i	0.391350	+	0.920242i	$0.372008\pi$
$774$	3.00000	+	2.17963i	0.107833	+	0.0783451i
$775$	−12.4271	−	38.2465i	−0.446393	−	1.37386i
$776$	−4.14590	−	12.7598i	−0.148829	−	0.458049i
$777$	14.2082	+	10.3229i	0.509716	+	0.370331i
$778$	−5.50000	+	3.99598i	−0.197185	+	0.143263i
$779$	13.8197	−	42.5325i	0.495141	−	1.52389i
$780$	0.326238			0.0116812
$781$	22.7812	+	38.4383i	0.815174	+	1.37543i
$782$	0.0557281			0.00199283
$783$	−1.01722	+	3.13068i	−0.0363525	+	0.111882i
$784$	−0.809017	+	0.587785i	−0.0288935	+	0.0209923i
$785$	11.2082	+	8.14324i	0.400038	+	0.290645i
$786$	−11.1803	−	34.4095i	−0.398790	−	1.22735i
$787$	−5.50000	−	16.9273i	−0.196054	−	0.603392i	−0.999963	−	0.00863912i	$-0.997250\pi$
$787$	−5.50000	−	16.9273i	−0.196054	−	0.603392i	0.803909	−	0.594753i	$-0.202750\pi$
$788$	3.97214	+	2.88593i	0.141501	+	0.102807i
$789$	10.2639	−	7.45718i	0.365406	−	0.265483i
$790$	2.86475	−	8.81678i	0.101923	−	0.313687i
$791$	−3.70820			−0.131849
$792$	−3.38197	−	5.70634i	−0.120173	−	0.202766i
$793$	−1.25735			−0.0446500
$794$	−3.21885	+	9.90659i	−0.114233	+	0.351572i
$795$	9.20820	−	6.69015i	0.326581	−	0.237275i
$796$	13.5623	+	9.85359i	0.480703	+	0.349251i
$797$	−12.4721	−	38.3853i	−0.441786	−	1.35968i	−0.885971	−	0.463741i	$-0.846507\pi$
$797$	−12.4721	−	38.3853i	−0.441786	−	1.35968i	0.444185	−	0.895935i	$-0.353493\pi$
$798$	3.45492	+	10.6331i	0.122303	+	0.376409i
$799$	1.26393	+	0.918300i	0.0447147	+	0.0324871i
$800$	3.73607	−	2.71441i	0.132090	−	0.0959690i
$801$	−1.79837	+	5.53483i	−0.0635424	+	0.195563i
$802$	−11.4721			−0.405095
$803$	29.2877	+	12.6412i	1.03354	+	0.446100i
$804$	−20.5279			−0.723962
$805$	0.0450850	−	0.138757i	0.00158904	−	0.00489055i
$806$	1.66312	−	1.20833i	0.0585809	−	0.0425615i
$807$	35.0623	+	25.4743i	1.23425	+	0.896736i
$808$	−1.30902	−	4.02874i	−0.0460511	−	0.141731i
$809$	−8.03851	−	24.7400i	−0.282619	−	0.869811i	−0.987102	−	0.160091i	$-0.948821\pi$
$809$	−8.03851	−	24.7400i	−0.282619	−	0.869811i	0.704483	−	0.709720i	$-0.251179\pi$
$810$	5.50000	+	3.99598i	0.193250	+	0.140405i
$811$	−40.7148	+	29.5810i	−1.42969	+	1.03873i	−0.439615	+	0.898186i	$0.644885\pi$
$811$	−40.7148	+	29.5810i	−1.42969	+	1.03873i	−0.990074	+	0.140544i	$0.955115\pi$
$812$	0.454915	−	1.40008i	0.0159644	−	0.0491333i
$813$	3.21478			0.112747
$814$	−17.2082	+	19.5559i	−0.603147	+	0.685434i
$815$	−7.36068			−0.257833
$816$	0.163119	−	0.502029i	0.00571031	−	0.0175745i
$817$	7.50000	−	5.44907i	0.262392	−	0.190639i
$818$	−12.1353	−	8.81678i	−0.424299	−	0.308271i
$819$	0.145898	+	0.449028i	0.00509809	+	0.0156903i
$820$	1.70820	+	5.25731i	0.0596531	+	0.183593i
$821$	−4.14590	−	3.01217i	−0.144693	−	0.105126i	0.513084	−	0.858338i	$-0.328503\pi$
$821$	−4.14590	−	3.01217i	−0.144693	−	0.105126i	−0.657777	+	0.753213i	$0.728503\pi$
$822$	−2.76393	+	2.00811i	−0.0964032	+	0.0700410i
$823$	−9.54508	+	29.3768i	−0.332721	+	1.02401i	0.635113	+	0.772419i	$0.280953\pi$
$823$	−9.54508	+	29.3768i	−0.332721	+	1.02401i	−0.967834	+	0.251590i	$0.919047\pi$
$824$	10.8541			0.378121
$825$	−3.19098	+	34.0993i	−0.111096	+	1.18718i
$826$	−8.61803			−0.299860
$827$	−8.05573	+	24.7930i	−0.280125	+	0.862136i	0.707693	+	0.706521i	$0.249736\pi$
$827$	−8.05573	+	24.7930i	−0.280125	+	0.862136i	−0.987818	+	0.155616i	$0.950264\pi$
$828$	0.381966	−	0.277515i	0.0132742	−	0.00964430i
$829$	15.5172	+	11.2739i	0.538935	+	0.391559i	0.823689	−	0.567041i	$-0.191912\pi$
$829$	15.5172	+	11.2739i	0.538935	+	0.391559i	−0.284754	+	0.958601i	$0.591912\pi$
$830$	−1.64590	−	5.06555i	−0.0571300	−	0.175828i
$831$	−1.18034	−	3.63271i	−0.0409455	−	0.126017i
$832$	0.190983	+	0.138757i	0.00662114	+	0.00481054i
$833$	0.190983	−	0.138757i	0.00661717	−	0.00480765i
$834$	4.14590	−	12.7598i	0.143561	−	0.441834i
$835$	5.94427			0.205710
$836$	−16.1803	+	3.63271i	−0.559609	+	0.125640i
$837$	19.4721			0.673055
$838$	7.77051	−	23.9152i	0.268428	−	0.826136i
$839$	22.7254	−	16.5110i	0.784569	−	0.570023i	−0.121778	−	0.992557i	$-0.538860\pi$
$839$	22.7254	−	16.5110i	0.784569	−	0.570023i	0.906347	+	0.422535i	$0.138860\pi$
$840$	−1.11803	−	0.812299i	−0.0385758	−	0.0280270i
$841$	−8.29180	−	25.5195i	−0.285924	−	0.879984i
$842$	1.63525	+	5.03280i	0.0563546	+	0.173442i
$843$	−25.1631	−	18.2821i	−0.866664	−	0.629668i
$844$	−11.7533	+	8.53926i	−0.404565	+	0.293934i
$845$	−2.47214	+	7.60845i	−0.0850441	+	0.261739i
$846$	13.2361			0.455065
$847$	10.8090	+	2.04087i	0.371402	+	0.0701251i
$848$	8.23607			0.282828
$849$	−8.78115	+	27.0256i	−0.301368	+	0.927517i
$850$	−0.881966	+	0.640786i	−0.0302512	+	0.0219788i
$851$	−1.50000	−	1.08981i	−0.0514193	−	0.0373583i
$852$	9.30902	+	28.6502i	0.318922	+	0.981540i
$853$	−2.45492	−	7.55545i	−0.0840547	−	0.258694i	0.900192	−	0.435493i	$-0.143426\pi$
$853$	−2.45492	−	7.55545i	−0.0840547	−	0.258694i	−0.984247	+	0.176799i	$0.943426\pi$
$854$	4.30902	+	3.13068i	0.147452	+	0.107130i
$855$	−5.00000	+	3.63271i	−0.170996	+	0.124236i
$856$	4.71885	−	14.5231i	0.161287	−	0.496390i
$857$	−27.6525			−0.944591			−0.472295	−	0.881440i	$-0.656574\pi$
$857$	−27.6525			−0.944591			−0.472295	+	0.881440i	$0.656574\pi$
$858$	−1.70820	+	0.383516i	−0.0583171	+	0.0130930i
$859$	43.7214			1.49175			0.745877	−	0.666084i	$-0.232031\pi$
$859$	43.7214			1.49175			0.745877	+	0.666084i	$0.232031\pi$
$860$	−0.354102	+	1.08981i	−0.0120748	+	0.0371623i
$861$	−16.1803	+	11.7557i	−0.551425	+	0.400633i
$862$	−17.0451	−	12.3840i	−0.580558	−	0.421800i
$863$	7.66312	+	23.5847i	0.260856	+	0.802831i	0.992619	+	0.121273i	$0.0386975\pi$
$863$	7.66312	+	23.5847i	0.260856	+	0.802831i	−0.731764	+	0.681558i	$0.761303\pi$
$864$	0.690983	+	2.12663i	0.0235077	+	0.0723493i
$865$	1.73607	+	1.26133i	0.0590281	+	0.0428864i
$866$	−26.9894	+	19.6089i	−0.917136	+	0.666338i
$867$	11.7082	−	36.0341i	0.397631	−	1.22378i
$868$	−8.70820			−0.295576
$869$	−4.63525	+	49.5330i	−0.157240	+	1.68029i
$870$	2.03444			0.0689740
$871$	−0.669697	+	2.06111i	−0.0226918	+	0.0698382i
$872$	−10.7812	+	7.83297i	−0.365096	+	0.265258i
$873$	21.7082	+	15.7719i	0.734711	+	0.533799i
$874$	−0.364745	−	1.12257i	−0.0123377	−	0.0379715i
$875$	1.83688	+	5.65334i	0.0620979	+	0.191118i
$876$	17.3992	+	12.6412i	0.587864	+	0.427108i
$877$	7.57295	−	5.50207i	0.255720	−	0.185792i	−0.452538	−	0.891745i	$-0.649481\pi$
$877$	7.57295	−	5.50207i	0.255720	−	0.185792i	0.708258	+	0.705954i	$0.249481\pi$
$878$	−7.76393	+	23.8949i	−0.262020	+	0.806415i
$879$	−14.2705			−0.481332
$880$	1.35410	−	1.53884i	0.0456468	−	0.0518743i
$881$	−9.47214			−0.319124			−0.159562	−	0.987188i	$-0.551008\pi$
$881$	−9.47214			−0.319124			−0.159562	+	0.987188i	$0.551008\pi$
$882$	0.618034	−	1.90211i	0.0208103	−	0.0640475i
$883$	37.4164	−	27.1846i	1.25916	−	0.914835i	0.260446	−	0.965488i	$-0.416130\pi$
$883$	37.4164	−	27.1846i	1.25916	−	0.914835i	0.998716	+	0.0506534i	$0.0161304\pi$
$884$	−0.0450850	−	0.0327561i	−0.00151637	−	0.00110171i
$885$	−3.68034	−	11.3269i	−0.123713	−	0.380750i
$886$	1.93769	+	5.96361i	0.0650981	+	0.200351i
$887$	−3.54508	−	2.57565i	−0.119032	−	0.0864820i	0.526676	−	0.850066i	$-0.323438\pi$
$887$	−3.54508	−	2.57565i	−0.119032	−	0.0864820i	−0.645709	+	0.763584i	$0.723438\pi$
$888$	−14.2082	+	10.3229i	−0.476796	+	0.346413i
$889$	−1.35410	+	4.16750i	−0.0454151	+	0.139773i
$890$	−1.79837			−0.0602816
$891$	−33.4959	−	14.4576i	−1.12216	−	0.484348i
$892$	−8.27051			−0.276917
$893$	10.2254	−	31.4706i	0.342181	−	1.05312i
$894$	10.9164	−	7.93123i	0.365099	−	0.265260i
$895$	−8.01722	−	5.82485i	−0.267986	−	0.194703i
$896$	−0.309017	−	0.951057i	−0.0103235	−	0.0317726i
$897$	−0.0385072	−	0.118513i	−0.00128572	−	0.00395703i
$898$	3.35410	+	2.43690i	0.111928	+	0.0813203i
$899$	10.3713	−	7.53521i	0.345903	−	0.251313i
$900$	−2.85410	+	8.78402i	−0.0951367	+	0.292801i
$901$	−1.94427			−0.0647731
$902$	−15.1246	−	25.5195i	−0.503594	−	0.849707i
$903$	−4.14590			−0.137967
$904$	1.14590	−	3.52671i	0.0381120	−	0.117297i
$905$	−5.38197	+	3.91023i	−0.178903	+	0.129980i
$906$	42.3607	+	30.7768i	1.40734	+	1.02249i
$907$	3.17376	+	9.76784i	0.105383	+	0.324336i	0.989820	−	0.142324i	$-0.0454574\pi$
$907$	3.17376	+	9.76784i	0.105383	+	0.324336i	−0.884437	+	0.466659i	$0.845457\pi$
$908$	−8.89919	−	27.3889i	−0.295330	−	0.908932i
$909$	6.85410	+	4.97980i	0.227336	+	0.165169i
$910$	−0.118034	+	0.0857567i	−0.00391279	+	0.00284281i
$911$	12.9164	−	39.7526i	0.427940	−	1.31706i	−0.472211	−	0.881485i	$-0.656544\pi$
$911$	12.9164	−	39.7526i	0.427940	−	1.31706i	0.900151	−	0.435578i	$-0.143456\pi$
$912$	−11.1803			−0.370218
$913$	14.5729	+	24.5887i	0.482294	+	0.813768i
$914$	31.4164			1.03916
$915$	−2.27458	+	7.00042i	−0.0751951	+	0.231427i
$916$	−0.454915	+	0.330515i	−0.0150308	+	0.0109205i
$917$	13.0902	+	9.51057i	0.432275	+	0.314067i
$918$	−0.163119	−	0.502029i	−0.00538373	−	0.0165694i
$919$	−1.36475	−	4.20025i	−0.0450188	−	0.138554i	0.926021	−	0.377473i	$-0.123207\pi$
$919$	−1.36475	−	4.20025i	−0.0450188	−	0.138554i	−0.971039	+	0.238919i	$0.923207\pi$
$920$	0.118034	+	0.0857567i	0.00389147	+	0.00282732i
$921$	−57.2599	+	41.6017i	−1.88678	+	1.37082i
$922$	7.66312	−	23.5847i	0.252371	−	0.776719i
$923$	3.18034			0.104682
$924$	6.80902	+	2.93893i	0.224000	+	0.0966836i
$925$	36.2705			1.19257
$926$	−2.20820	+	6.79615i	−0.0725661	+	0.223335i
$927$	−17.5623	+	12.7598i	−0.576822	+	0.419086i
$928$	1.19098	+	0.865300i	0.0390959	+	0.0284049i
$929$	−1.65248	−	5.08580i	−0.0542160	−	0.166860i	0.920282	−	0.391256i	$-0.127959\pi$
$929$	−1.65248	−	5.08580i	−0.0542160	−	0.166860i	−0.974498	+	0.224396i	$0.927959\pi$
$930$	−3.71885	−	11.4454i	−0.121946	−	0.375311i
$931$	−4.04508	−	2.93893i	−0.132572	−	0.0963194i
$932$	−14.9443	+	10.8576i	−0.489516	+	0.355654i
$933$	−5.16312	+	15.8904i	−0.169033	+	0.520230i
$934$	−28.2361			−0.923912
$935$	−0.319660	+	0.363271i	−0.0104540	+	0.0118802i
$936$	−0.472136			−0.0154322
$937$	−3.21885	+	9.90659i	−0.105155	+	0.323634i	−0.989767	−	0.142694i	$-0.954423\pi$
$937$	−3.21885	+	9.90659i	−0.105155	+	0.323634i	0.884612	+	0.466328i	$0.154423\pi$
$938$	7.42705	−	5.39607i	0.242502	−	0.176188i
$939$	1.21885	+	0.885544i	0.0397756	+	0.0288986i
$940$	1.26393	+	3.88998i	0.0412249	+	0.126877i
$941$	−13.4271	−	41.3242i	−0.437709	−	1.34713i	−0.890285	−	0.455405i	$-0.849495\pi$
$941$	−13.4271	−	41.3242i	−0.437709	−	1.34713i	0.452575	−	0.891726i	$-0.350505\pi$
$942$	−40.5517	−	29.4625i	−1.32124	−	0.959940i
$943$	1.70820	−	1.24108i	0.0556268	−	0.0404152i
$944$	2.66312	−	8.19624i	0.0866771	−	0.266765i
$945$	−1.38197			−0.0449554
$946$	0.572949	−	6.12261i	0.0186282	−	0.199063i
$947$	−10.7426			−0.349089			−0.174545	−	0.984649i	$-0.555845\pi$
$947$	−10.7426			−0.349089			−0.174545	+	0.984649i	$0.555845\pi$
$948$	−10.3647	+	31.8994i	−0.336631	+	1.03604i
$949$	1.83688	−	1.33457i	0.0596277	−	0.0433220i
$950$	18.6803	+	13.5721i	0.606070	+	0.440336i
$951$	20.6140	+	63.4433i	0.668454	+	2.05729i
$952$	0.0729490	+	0.224514i	0.00236429	+	0.00727654i
$953$	−10.7812	−	7.83297i	−0.349236	−	0.253735i	0.399313	−	0.916815i	$-0.369249\pi$
$953$	−10.7812	−	7.83297i	−0.349236	−	0.253735i	−0.748548	+	0.663080i	$0.769249\pi$
$954$	−13.3262	+	9.68208i	−0.431453	+	0.313469i
$955$	−4.89261	+	15.0579i	−0.158321	+	0.487262i
$956$	−27.2705			−0.881991
$957$	−10.6525	+	2.39163i	−0.344346	+	0.0773104i
$958$	35.8885			1.15951
$959$	0.472136	−	1.45309i	0.0152461	−	0.0469226i
$960$	1.11803	−	0.812299i	0.0360844	−	0.0262168i
$961$	−36.2705	−	26.3521i	−1.17002	−	0.850067i
$962$	0.572949	+	1.76336i	0.0184726	+	0.0568529i
$963$	9.43769	+	29.0462i	0.304125	+	0.936002i
$964$	−0.781153	−	0.567541i	−0.0251592	−	0.0182793i
$965$	7.35410	−	5.34307i	0.236737	−	0.171999i
$966$	−0.163119	+	0.502029i	−0.00524827	+	0.0161525i
$967$	−2.14590			−0.0690074			−0.0345037	−	0.999405i	$-0.510985\pi$
$967$	−2.14590			−0.0690074			−0.0345037	+	0.999405i	$0.510985\pi$
$968$	−5.28115	+	9.64932i	−0.169743	+	0.310141i
$969$	2.63932			0.0847872
$970$	−2.56231	+	7.88597i	−0.0822707	+	0.253203i
$971$	13.2082	−	9.59632i	0.423871	−	0.307961i	−0.355322	−	0.934744i	$-0.615629\pi$
$971$	13.2082	−	9.59632i	0.423871	−	0.307961i	0.779194	+	0.626783i	$0.215629\pi$
$972$	−14.4721	−	10.5146i	−0.464194	−	0.337257i
$973$	1.85410	+	5.70634i	0.0594398	+	0.182937i
$974$	4.96149	+	15.2699i	0.158976	+	0.489279i
$975$	1.97214	+	1.43284i	0.0631589	+	0.0458876i
$976$	−4.30902	+	3.13068i	−0.137928	+	0.100211i
$977$	−6.74265	+	20.7517i	−0.215716	+	0.663907i	0.783386	+	0.621536i	$0.213491\pi$
$977$	−6.74265	+	20.7517i	−0.215716	+	0.663907i	−0.999102	+	0.0423707i	$0.986509\pi$
$978$	26.6312			0.851572
$979$	9.41641	−	2.11412i	0.300950	−	0.0675674i
$980$	0.618034			0.0197424
$981$	8.23607	−	25.3480i	0.262957	−	0.809300i
$982$	−11.7812	+	8.55951i	−0.375952	+	0.273145i
$983$	28.4164	+	20.6457i	0.906343	+	0.658496i	0.940087	−	0.340934i	$-0.110743\pi$
$983$	28.4164	+	20.6457i	0.906343	+	0.658496i	−0.0337446	+	0.999430i	$0.510743\pi$
$984$	−6.18034	−	19.0211i	−0.197022	−	0.606371i
$985$	−0.937694	−	2.88593i	−0.0298774	−	0.0919532i
$986$	−0.281153	−	0.204270i	−0.00895373	−	0.00650527i
$987$	−11.9721	+	8.69827i	−0.381077	+	0.276869i
$988$	−0.364745	+	1.12257i	−0.0116041	+	0.0357137i
$989$	0.437694			0.0139179
$990$	−0.381966	+	4.08174i	−0.0121397	+	0.129726i
$991$	−31.4164			−0.997975			−0.498988	−	0.866609i	$-0.666295\pi$
$991$	−31.4164			−0.997975			−0.498988	+	0.866609i	$0.666295\pi$
$992$	2.69098	−	8.28199i	0.0854388	−	0.262954i
$993$	−20.1246	+	14.6214i	−0.638635	+	0.463996i
$994$	−10.8992	−	7.91872i	−0.345701	−	0.251167i
$995$	−3.20163	−	9.85359i	−0.101498	−	0.312380i
$996$	5.95492	+	18.3273i	0.188689	+	0.580724i
$997$	−5.59017	−	4.06150i	−0.177042	−	0.128629i	0.495735	−	0.868474i	$-0.334899\pi$
$997$	−5.59017	−	4.06150i	−0.177042	−	0.128629i	−0.672777	+	0.739845i	$0.734899\pi$
$998$	−5.66312	+	4.11450i	−0.179263	+	0.130242i
$999$	−5.42705	+	16.7027i	−0.171704	+	0.528451i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	154.2.f.b.141.1	yes	4
11.4	even	5		1694.2.a.t.1.1		2
11.5	even	5	inner	154.2.f.b.71.1	✓	4
11.7	odd	10		1694.2.a.o.1.1		2

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
154.2.f.b.71.1	✓	4	11.5	even	5	inner
154.2.f.b.141.1	yes	4	1.1	even	1	trivial
1694.2.a.o.1.1		2	11.7	odd	10
1694.2.a.t.1.1		2	11.4	even	5

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:	\( N \)	\(=\)	\( 154 = 2 \cdot 7 \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	154.f (of order \(5\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(0.309017 - 0.951057i) q^{2} +(1.80902 - 1.31433i) q^{3} +(-0.809017 - 0.587785i) q^{4} +(0.190983 + 0.587785i) q^{5} +(-0.690983 - 2.12663i) q^{6} +(0.809017 + 0.587785i) q^{7} +(-0.809017 + 0.587785i) q^{8} +(0.618034 - 1.90211i) q^{9} +O(q^{10})\)	\(q+(0.309017 - 0.951057i) q^{2} +(1.80902 - 1.31433i) q^{3} +(-0.809017 - 0.587785i) q^{4} +(0.190983 + 0.587785i) q^{5} +(-0.690983 - 2.12663i) q^{6} +(0.809017 + 0.587785i) q^{7} +(-0.809017 + 0.587785i) q^{8} +(0.618034 - 1.90211i) q^{9} +0.618034 q^{10} +(-3.23607 + 0.726543i) q^{11} -2.23607 q^{12} +(-0.0729490 + 0.224514i) q^{13} +(0.809017 - 0.587785i) q^{14} +(1.11803 + 0.812299i) q^{15} +(0.309017 + 0.951057i) q^{16} +(-0.0729490 - 0.224514i) q^{17} +(-1.61803 - 1.17557i) q^{18} +(-4.04508 + 2.93893i) q^{19} +(0.190983 - 0.587785i) q^{20} +2.23607 q^{21} +(-0.309017 + 3.30220i) q^{22} -0.236068 q^{23} +(-0.690983 + 2.12663i) q^{24} +(3.73607 - 2.71441i) q^{25} +(0.190983 + 0.138757i) q^{26} +(0.690983 + 2.12663i) q^{27} +(-0.309017 - 0.951057i) q^{28} +(1.19098 + 0.865300i) q^{29} +(1.11803 - 0.812299i) q^{30} +(2.69098 - 8.28199i) q^{31} +1.00000 q^{32} +(-4.89919 + 5.56758i) q^{33} -0.236068 q^{34} +(-0.190983 + 0.587785i) q^{35} +(-1.61803 + 1.17557i) q^{36} +(6.35410 + 4.61653i) q^{37} +(1.54508 + 4.75528i) q^{38} +(0.163119 + 0.502029i) q^{39} +(-0.500000 - 0.363271i) q^{40} +(-7.23607 + 5.25731i) q^{41} +(0.690983 - 2.12663i) q^{42} -1.85410 q^{43} +(3.04508 + 1.31433i) q^{44} +1.23607 q^{45} +(-0.0729490 + 0.224514i) q^{46} +(-5.35410 + 3.88998i) q^{47} +(1.80902 + 1.31433i) q^{48} +(0.309017 + 0.951057i) q^{49} +(-1.42705 - 4.39201i) q^{50} +(-0.427051 - 0.310271i) q^{51} +(0.190983 - 0.138757i) q^{52} +(2.54508 - 7.83297i) q^{53} +2.23607 q^{54} +(-1.04508 - 1.76336i) q^{55} -1.00000 q^{56} +(-3.45492 + 10.6331i) q^{57} +(1.19098 - 0.865300i) q^{58} +(-6.97214 - 5.06555i) q^{59} +(-0.427051 - 1.31433i) q^{60} +(1.64590 + 5.06555i) q^{61} +(-7.04508 - 5.11855i) q^{62} +(1.61803 - 1.17557i) q^{63} +(0.309017 - 0.951057i) q^{64} -0.145898 q^{65} +(3.78115 + 6.37988i) q^{66} +9.18034 q^{67} +(-0.0729490 + 0.224514i) q^{68} +(-0.427051 + 0.310271i) q^{69} +(0.500000 + 0.363271i) q^{70} +(-4.16312 - 12.8128i) q^{71} +(0.618034 + 1.90211i) q^{72} +(-7.78115 - 5.65334i) q^{73} +(6.35410 - 4.61653i) q^{74} +(3.19098 - 9.82084i) q^{75} +5.00000 q^{76} +(-3.04508 - 1.31433i) q^{77} +0.527864 q^{78} +(4.63525 - 14.2658i) q^{79} +(-0.500000 + 0.363271i) q^{80} +(8.89919 + 6.46564i) q^{81} +(2.76393 + 8.50651i) q^{82} +(-2.66312 - 8.19624i) q^{83} +(-1.80902 - 1.31433i) q^{84} +(0.118034 - 0.0857567i) q^{85} +(-0.572949 + 1.76336i) q^{86} +3.29180 q^{87} +(2.19098 - 2.48990i) q^{88} -2.90983 q^{89} +(0.381966 - 1.17557i) q^{90} +(-0.190983 + 0.138757i) q^{91} +(0.190983 + 0.138757i) q^{92} +(-6.01722 - 18.5191i) q^{93} +(2.04508 + 6.29412i) q^{94} +(-2.50000 - 1.81636i) q^{95} +(1.80902 - 1.31433i) q^{96} +(-4.14590 + 12.7598i) q^{97} +1.00000 q^{98} +(-0.618034 + 6.60440i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 4 q - q^{2} + 5 q^{3} - q^{4} + 3 q^{5} - 5 q^{6} + q^{7} - q^{8} - 2 q^{9}+O(q^{10}) \) 4 * q - q^2 + 5 * q^3 - q^4 + 3 * q^5 - 5 * q^6 + q^7 - q^8 - 2 * q^9	\( 4 q - q^{2} + 5 q^{3} - q^{4} + 3 q^{5} - 5 q^{6} + q^{7} - q^{8} - 2 q^{9} - 2 q^{10} - 4 q^{11} - 7 q^{13} + q^{14} - q^{16} - 7 q^{17} - 2 q^{18} - 5 q^{19} + 3 q^{20} + q^{22} + 8 q^{23} - 5 q^{24} + 6 q^{25} + 3 q^{26} + 5 q^{27} + q^{28} + 7 q^{29} + 13 q^{31} + 4 q^{32} + 5 q^{33} + 8 q^{34} - 3 q^{35} - 2 q^{36} + 12 q^{37} - 5 q^{38} - 15 q^{39} - 2 q^{40} - 20 q^{41} + 5 q^{42} + 6 q^{43} + q^{44} - 4 q^{45} - 7 q^{46} - 8 q^{47} + 5 q^{48} - q^{49} + q^{50} + 5 q^{51} + 3 q^{52} - q^{53} + 7 q^{55} - 4 q^{56} - 25 q^{57} + 7 q^{58} - 10 q^{59} + 5 q^{60} + 20 q^{61} - 17 q^{62} + 2 q^{63} - q^{64} - 14 q^{65} - 5 q^{66} - 8 q^{67} - 7 q^{68} + 5 q^{69} + 2 q^{70} - q^{71} - 2 q^{72} - 11 q^{73} + 12 q^{74} + 15 q^{75} + 20 q^{76} - q^{77} + 20 q^{78} - 15 q^{79} - 2 q^{80} + 11 q^{81} + 20 q^{82} + 5 q^{83} - 5 q^{84} - 4 q^{85} - 9 q^{86} + 40 q^{87} + 11 q^{88} - 34 q^{89} + 6 q^{90} - 3 q^{91} + 3 q^{92} + 5 q^{93} - 3 q^{94} - 10 q^{95} + 5 q^{96} - 30 q^{97} + 4 q^{98} + 2 q^{99}+O(q^{100}) \) 4 * q - q^2 + 5 * q^3 - q^4 + 3 * q^5 - 5 * q^6 + q^7 - q^8 - 2 * q^9 - 2 * q^10 - 4 * q^11 - 7 * q^13 + q^14 - q^16 - 7 * q^17 - 2 * q^18 - 5 * q^19 + 3 * q^20 + q^22 + 8 * q^23 - 5 * q^24 + 6 * q^25 + 3 * q^26 + 5 * q^27 + q^28 + 7 * q^29 + 13 * q^31 + 4 * q^32 + 5 * q^33 + 8 * q^34 - 3 * q^35 - 2 * q^36 + 12 * q^37 - 5 * q^38 - 15 * q^39 - 2 * q^40 - 20 * q^41 + 5 * q^42 + 6 * q^43 + q^44 - 4 * q^45 - 7 * q^46 - 8 * q^47 + 5 * q^48 - q^49 + q^50 + 5 * q^51 + 3 * q^52 - q^53 + 7 * q^55 - 4 * q^56 - 25 * q^57 + 7 * q^58 - 10 * q^59 + 5 * q^60 + 20 * q^61 - 17 * q^62 + 2 * q^63 - q^64 - 14 * q^65 - 5 * q^66 - 8 * q^67 - 7 * q^68 + 5 * q^69 + 2 * q^70 - q^71 - 2 * q^72 - 11 * q^73 + 12 * q^74 + 15 * q^75 + 20 * q^76 - q^77 + 20 * q^78 - 15 * q^79 - 2 * q^80 + 11 * q^81 + 20 * q^82 + 5 * q^83 - 5 * q^84 - 4 * q^85 - 9 * q^86 + 40 * q^87 + 11 * q^88 - 34 * q^89 + 6 * q^90 - 3 * q^91 + 3 * q^92 + 5 * q^93 - 3 * q^94 - 10 * q^95 + 5 * q^96 - 30 * q^97 + 4 * q^98 + 2 * q^99

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