LMFDB - Embedded newform 656.2.o.a.245.13

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [656,2,Mod(245,656)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(656, base_ring=CyclotomicField(4))

chi = DirichletCharacter(H, H._module([0, 1, 2]))

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

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

chi := DirichletCharacter("656.245");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 656 = 2^{4} \cdot 41 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	656.o (of order $4$, degree $2$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$5.23818637260$
Analytic rank:	$0$
Dimension:	$164$
Relative dimension:	$82$ over $\Q(i)$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{4}]$

Embedding invariants

Embedding label			245.13
Character	$\chi$	$=$	656.245
Dual form			656.2.o.a.573.13

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.23625 + 0.686792i) q^{2} +(-0.0704098 - 0.0704098i) q^{3} +(1.05663 - 1.69809i) q^{4} +(-2.73754 - 2.73754i) q^{5} +(0.135401 + 0.0386873i) q^{6} -4.71049 q^{7} +(-0.140026 + 2.82496i) q^{8} -2.99008i q^{9} +O(q^{10})$	\(q+(-1.23625 + 0.686792i) q^{2} +(-0.0704098 - 0.0704098i) q^{3} +(1.05663 - 1.69809i) q^{4} +(-2.73754 - 2.73754i) q^{5} +(0.135401 + 0.0386873i) q^{6} -4.71049 q^{7} +(-0.140026 + 2.82496i) q^{8} -2.99008i q^{9} +(5.26441 + 1.50417i) q^{10} +(1.43872 - 1.43872i) q^{11} +(-0.193960 + 0.0451652i) q^{12} +(2.35845 + 2.35845i) q^{13} +(5.82334 - 3.23512i) q^{14} +0.385500i q^{15} +(-1.76705 - 3.58853i) q^{16} +3.04660i q^{17} +(2.05357 + 3.69650i) q^{18} +(-3.59911 - 3.59911i) q^{19} +(-7.54118 + 1.75603i) q^{20} +(0.331665 + 0.331665i) q^{21} +(-0.790519 + 2.76672i) q^{22} +3.02686i q^{23} +(0.208764 - 0.189046i) q^{24} +9.98828i q^{25} +(-4.53541 - 1.29587i) q^{26} +(-0.421761 + 0.421761i) q^{27} +(-4.97726 + 7.99885i) q^{28} +(6.96246 + 6.96246i) q^{29} +(-0.264758 - 0.476575i) q^{30} -5.91537 q^{31} +(4.64909 + 3.22272i) q^{32} -0.202600 q^{33} +(-2.09238 - 3.76636i) q^{34} +(12.8952 + 12.8952i) q^{35} +(-5.07745 - 3.15942i) q^{36} +(-1.93409 - 1.93409i) q^{37} +(6.92125 + 1.97756i) q^{38} -0.332117i q^{39} +(8.11677 - 7.35012i) q^{40} +(5.86009 - 2.58056i) q^{41} +(-0.637805 - 0.182236i) q^{42} +(-3.26637 - 3.26637i) q^{43} +(-0.922885 - 3.96329i) q^{44} +(-8.18548 + 8.18548i) q^{45} +(-2.07882 - 3.74196i) q^{46} +1.15228i q^{47} +(-0.128250 + 0.377085i) q^{48} +15.1887 q^{49} +(-6.85987 - 12.3480i) q^{50} +(0.214511 - 0.214511i) q^{51} +(6.49690 - 1.51286i) q^{52} +(-7.39204 + 7.39204i) q^{53} +(0.231740 - 0.811065i) q^{54} -7.87713 q^{55} +(0.659592 - 13.3069i) q^{56} +0.506826i q^{57} +(-13.3891 - 3.82559i) q^{58} +(4.01186 + 4.01186i) q^{59} +(0.654615 + 0.407332i) q^{60} +(0.0997161 - 0.0997161i) q^{61} +(7.31288 - 4.06263i) q^{62} +14.0848i q^{63} +(-7.96079 - 0.791137i) q^{64} -12.9127i q^{65} +(0.250465 - 0.139144i) q^{66} +(8.32239 + 8.32239i) q^{67} +(5.17342 + 3.21914i) q^{68} +(0.213121 - 0.213121i) q^{69} +(-24.7979 - 7.08536i) q^{70} -8.28074 q^{71} +(8.44687 + 0.418691i) q^{72} -7.24017i q^{73} +(3.71933 + 1.06270i) q^{74} +(0.703273 - 0.703273i) q^{75} +(-9.91458 + 2.30869i) q^{76} +(-6.77708 + 6.77708i) q^{77} +(0.228095 + 0.410579i) q^{78} +1.97655i q^{79} +(-4.98637 + 14.6611i) q^{80} -8.91086 q^{81} +(-5.47224 + 7.21489i) q^{82} +(-6.50910 + 6.50910i) q^{83} +(0.913646 - 0.212750i) q^{84} +(8.34020 - 8.34020i) q^{85} +(6.28136 + 1.79473i) q^{86} -0.980451i q^{87} +(3.86287 + 4.26579i) q^{88} -6.92208 q^{89} +(4.49759 - 15.7410i) q^{90} +(-11.1095 - 11.1095i) q^{91} +(5.13989 + 3.19828i) q^{92} +(0.416500 + 0.416500i) q^{93} +(-0.791378 - 1.42451i) q^{94} +19.7054i q^{95} +(-0.100430 - 0.554253i) q^{96} -11.9620i q^{97} +(-18.7770 + 10.4315i) q^{98} +(-4.30190 - 4.30190i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 164 q - 4 q^{2} - 4 q^{4} - 4 q^{5} - 16 q^{8}+O(q^{10}) $ 164 * q - 4 * q^2 - 4 * q^4 - 4 * q^5 - 16 * q^8	$ 164 q - 4 q^{2} - 4 q^{4} - 4 q^{5} - 16 q^{8} - 16 q^{10} - 4 q^{16} + 4 q^{18} - 4 q^{20} - 16 q^{21} - 32 q^{31} + 16 q^{32} - 8 q^{33} + 40 q^{36} - 4 q^{37} - 44 q^{40} + 52 q^{42} - 36 q^{43} + 28 q^{45} - 16 q^{46} + 132 q^{49} + 16 q^{50} + 8 q^{51} + 20 q^{59} - 4 q^{61} - 48 q^{62} + 68 q^{64} + 76 q^{66} + 20 q^{72} - 56 q^{74} - 32 q^{77} - 8 q^{78} - 100 q^{80} - 140 q^{81} + 44 q^{82} - 4 q^{83} - 40 q^{84} - 12 q^{86} - 8 q^{90} - 80 q^{91} + 112 q^{92} - 136 q^{98}+O(q^{100}) $ 164 * q - 4 * q^2 - 4 * q^4 - 4 * q^5 - 16 * q^8 - 16 * q^10 - 4 * q^16 + 4 * q^18 - 4 * q^20 - 16 * q^21 - 32 * q^31 + 16 * q^32 - 8 * q^33 + 40 * q^36 - 4 * q^37 - 44 * q^40 + 52 * q^42 - 36 * q^43 + 28 * q^45 - 16 * q^46 + 132 * q^49 + 16 * q^50 + 8 * q^51 + 20 * q^59 - 4 * q^61 - 48 * q^62 + 68 * q^64 + 76 * q^66 + 20 * q^72 - 56 * q^74 - 32 * q^77 - 8 * q^78 - 100 * q^80 - 140 * q^81 + 44 * q^82 - 4 * q^83 - 40 * q^84 - 12 * q^86 - 8 * q^90 - 80 * q^91 + 112 * q^92 - 136 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/656\mathbb{Z}\right)^\times$.

$n$	$129$	$165$	$575$
$\chi(n)$	$-1$	$e\left(\frac{1}{4}\right)$	$1$

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 $

$2$	−1.23625	+	0.686792i	−0.874162	+	0.485635i
$2$	−1.23625	+	0.686792i	−0.874162	+	0.485635i
$3$	−0.0704098	−	0.0704098i	−0.0406511	−	0.0406511i	0.686489	−	0.727140i	$-0.259151\pi$
$3$	−0.0704098	−	0.0704098i	−0.0406511	−	0.0406511i	−0.727140	+	0.686489i	$0.759151\pi$
$4$	1.05663	−	1.69809i	0.528317	−	0.849047i
$5$	−2.73754	−	2.73754i	−1.22427	−	1.22427i	−0.966101	−	0.258165i	$-0.916882\pi$
$5$	−2.73754	−	2.73754i	−1.22427	−	1.22427i	−0.258165	−	0.966101i	$-0.583118\pi$
$6$	0.135401	+	0.0386873i	0.0552773	+	0.0157940i
$7$	−4.71049			−1.78040			−0.890198	−	0.455574i	$-0.849434\pi$
$7$	−4.71049			−1.78040			−0.890198	+	0.455574i	$0.849434\pi$
$8$	−0.140026	+	2.82496i	−0.0495068	+	0.998774i
$9$		−	2.99008i		−	0.996695i
$10$	5.26441	+	1.50417i	1.66475	+	0.475660i
$11$	1.43872	−	1.43872i	0.433791	−	0.433791i	−0.456125	−	0.889916i	$-0.650763\pi$
$11$	1.43872	−	1.43872i	0.433791	−	0.433791i	0.889916	+	0.456125i	$0.150763\pi$
$12$	−0.193960	+	0.0451652i	−0.0559914	+	0.0130381i
$13$	2.35845	+	2.35845i	0.654117	+	0.654117i	0.953982	−	0.299865i	$-0.0969415\pi$
$13$	2.35845	+	2.35845i	0.654117	+	0.654117i	−0.299865	+	0.953982i	$0.596942\pi$
$14$	5.82334	−	3.23512i	1.55635	−	0.864623i
$15$			0.385500i			0.0995356i
$16$	−1.76705	−	3.58853i	−0.441763	−	0.897132i
$17$			3.04660i			0.738909i	0.929249	+	0.369455i	$0.120455\pi$
$17$			3.04660i			0.738909i	−0.929249	+	0.369455i	$0.879545\pi$
$18$	2.05357	+	3.69650i	0.484030	+	0.871272i
$19$	−3.59911	−	3.59911i	−0.825693	−	0.825693i	0.161225	−	0.986918i	$-0.448456\pi$
$19$	−3.59911	−	3.59911i	−0.825693	−	0.825693i	−0.986918	+	0.161225i	$0.948456\pi$
$20$	−7.54118	+	1.75603i	−1.68626	+	0.392660i
$21$	0.331665	+	0.331665i	0.0723751	+	0.0723751i
$22$	−0.790519	+	2.76672i	−0.168539	+	0.589868i
$23$			3.02686i			0.631143i	0.948902	+	0.315572i	$0.102196\pi$
$23$			3.02686i			0.631143i	−0.948902	+	0.315572i	$0.897804\pi$
$24$	0.208764	−	0.189046i	0.0426138	−	0.0385888i
$25$			9.98828i			1.99766i
$26$	−4.53541	−	1.29587i	−0.889466	−	0.254142i
$27$	−0.421761	+	0.421761i	−0.0811679	+	0.0811679i
$28$	−4.97726	+	7.99885i	−0.940613	+	1.51164i
$29$	6.96246	+	6.96246i	1.29290	+	1.29290i	0.932988	+	0.359909i	$0.117192\pi$
$29$	6.96246	+	6.96246i	1.29290	+	1.29290i	0.359909	+	0.932988i	$0.382808\pi$
$30$	−0.264758	−	0.476575i	−0.0483380	−	0.0870102i
$31$	−5.91537			−1.06243			−0.531215	−	0.847237i	$-0.678265\pi$
$31$	−5.91537			−1.06243			−0.531215	+	0.847237i	$0.678265\pi$
$32$	4.64909	+	3.22272i	0.821851	+	0.569703i
$33$	−0.202600			−0.0352682
$34$	−2.09238	−	3.76636i	−0.358840	−	0.645926i
$35$	12.8952	+	12.8952i	2.17968	+	2.17968i
$36$	−5.07745	−	3.15942i	−0.846241	−	0.526571i
$37$	−1.93409	−	1.93409i	−0.317962	−	0.317962i	0.530022	−	0.847984i	$-0.322184\pi$
$37$	−1.93409	−	1.93409i	−0.317962	−	0.317962i	−0.847984	+	0.530022i	$0.822184\pi$
$38$	6.92125	+	1.97756i	1.12277	+	0.320803i
$39$		−	0.332117i		−	0.0531812i
$40$	8.11677	−	7.35012i	1.28337	−	1.16216i
$41$	5.86009	−	2.58056i	0.915193	−	0.403016i
$41$	5.86009	−	2.58056i	0.915193	−	0.403016i
$42$	−0.637805	−	0.182236i	−0.0984155	−	0.0281196i
$43$	−3.26637	−	3.26637i	−0.498116	−	0.498116i	0.412735	−	0.910851i	$-0.364574\pi$
$43$	−3.26637	−	3.26637i	−0.498116	−	0.498116i	−0.910851	+	0.412735i	$0.864574\pi$
$44$	−0.922885	−	3.96329i	−0.139130	−	0.597488i
$45$	−8.18548	+	8.18548i	−1.22022	+	1.22022i
$46$	−2.07882	−	3.74196i	−0.306506	−	0.551721i
$47$			1.15228i			0.168078i	0.996462	+	0.0840388i	$0.0267820\pi$
$47$			1.15228i			0.168078i	−0.996462	+	0.0840388i	$0.973218\pi$
$48$	−0.128250	+	0.377085i	−0.0185113	+	0.0544276i
$49$	15.1887			2.16981
$50$	−6.85987	−	12.3480i	−0.970132	−	1.74627i
$51$	0.214511	−	0.214511i	0.0300375	−	0.0300375i
$52$	6.49690	−	1.51286i	0.900957	−	0.209795i
$53$	−7.39204	+	7.39204i	−1.01537	+	1.01537i	−0.0154948	+	0.999880i	$0.504932\pi$
$53$	−7.39204	+	7.39204i	−1.01537	+	1.01537i	−0.999880	+	0.0154948i	$0.995068\pi$
$54$	0.231740	−	0.811065i	0.0315359	−	0.110372i
$55$	−7.87713			−1.06215
$56$	0.659592	−	13.3069i	0.0881417	−	1.77821i
$57$			0.506826i			0.0671307i
$58$	−13.3891	−	3.82559i	−1.75808	−	0.502324i
$59$	4.01186	+	4.01186i	0.522300	+	0.522300i	0.918265	−	0.395965i	$-0.129590\pi$
$59$	4.01186	+	4.01186i	0.522300	+	0.522300i	−0.395965	+	0.918265i	$0.629590\pi$
$60$	0.654615	+	0.407332i	0.0845105	+	0.0525863i
$61$	0.0997161	−	0.0997161i	0.0127673	−	0.0127673i	−0.700694	−	0.713462i	$-0.747126\pi$
$61$	0.0997161	−	0.0997161i	0.0127673	−	0.0127673i	0.713462	+	0.700694i	$0.247126\pi$
$62$	7.31288	−	4.06263i	0.928736	−	0.515954i
$63$			14.0848i			1.77451i
$64$	−7.96079	−	0.791137i	−0.995098	−	0.0988922i
$65$		−	12.9127i		−	1.60163i
$66$	0.250465	−	0.139144i	0.0308301	−	0.0171275i
$67$	8.32239	+	8.32239i	1.01674	+	1.01674i	0.999857	+	0.0168846i	$0.00537479\pi$
$67$	8.32239	+	8.32239i	1.01674	+	1.01674i	0.0168846	+	0.999857i	$0.494625\pi$
$68$	5.17342	+	3.21914i	0.627369	+	0.390378i
$69$	0.213121	−	0.213121i	0.0256567	−	0.0256567i
$70$	−24.7979	−	7.08536i	−2.96392	−	0.846862i
$71$	−8.28074			−0.982743			−0.491371	−	0.870950i	$-0.663504\pi$
$71$	−8.28074			−0.982743			−0.491371	+	0.870950i	$0.663504\pi$
$72$	8.44687	+	0.418691i	0.995473	+	0.0493432i
$73$		−	7.24017i		−	0.847398i	−0.905803	−	0.423699i	$-0.860731\pi$
$73$		−	7.24017i		−	0.847398i	0.905803	−	0.423699i	$-0.139269\pi$
$74$	3.71933	+	1.06270i	0.432364	+	0.123537i
$75$	0.703273	−	0.703273i	0.0812070	−	0.0812070i
$76$	−9.91458	+	2.30869i	−1.13728	+	0.264825i
$77$	−6.77708	+	6.77708i	−0.772320	+	0.772320i
$78$	0.228095	+	0.410579i	0.0258267	+	0.0464890i
$79$			1.97655i			0.222380i	0.993799	+	0.111190i	$0.0354662\pi$
$79$			1.97655i			0.222380i	−0.993799	+	0.111190i	$0.964534\pi$
$80$	−4.98637	+	14.6611i	−0.557493	+	1.63916i
$81$	−8.91086			−0.990096
$82$	−5.47224	+	7.21489i	−0.604308	+	0.796751i
$83$	−6.50910	+	6.50910i	−0.714467	+	0.714467i	−0.967466	−	0.253000i	$-0.918583\pi$
$83$	−6.50910	+	6.50910i	−0.714467	+	0.714467i	0.253000	+	0.967466i	$0.418583\pi$
$84$	0.913646	−	0.212750i	0.0996869	−	0.0232129i
$85$	8.34020	−	8.34020i	0.904621	−	0.904621i
$86$	6.28136	+	1.79473i	0.677337	+	0.193531i
$87$		−	0.980451i		−	0.105115i
$88$	3.86287	+	4.26579i	0.411784	+	0.454735i
$89$	−6.92208			−0.733739			−0.366869	−	0.930272i	$-0.619570\pi$
$89$	−6.92208			−0.733739			−0.366869	+	0.930272i	$0.619570\pi$
$90$	4.49759	−	15.7410i	0.474087	−	1.65925i
$91$	−11.1095	−	11.1095i	−1.16459	−	1.16459i
$92$	5.13989	+	3.19828i	0.535871	+	0.333444i
$93$	0.416500	+	0.416500i	0.0431890	+	0.0431890i
$94$	−0.791378	−	1.42451i	−0.0816244	−	0.146927i
$95$			19.7054i			2.02174i
$96$	−0.100430	−	0.554253i	−0.0102501	−	0.0565682i
$97$		−	11.9620i		−	1.21456i	−0.794488	−	0.607280i	$-0.792261\pi$
$97$		−	11.9620i		−	1.21456i	0.794488	−	0.607280i	$-0.207739\pi$
$98$	−18.7770	+	10.4315i	−1.89677	+	1.05374i
$99$	−4.30190	−	4.30190i	−0.432357	−	0.432357i
$100$	16.9610	+	10.5539i	1.69610	+	1.05539i
$101$	−2.86158	+	2.86158i	−0.284738	+	0.284738i	−0.834995	−	0.550257i	$-0.814530\pi$
$101$	−2.86158	+	2.86158i	−0.284738	+	0.284738i	0.550257	+	0.834995i	$0.314530\pi$
$102$	−0.117865	+	0.412513i	−0.0116704	+	0.0408449i
$103$		−	14.5989i		−	1.43847i	−0.694766	−	0.719236i	$-0.744492\pi$
$103$		−	14.5989i		−	1.43847i	0.694766	−	0.719236i	$-0.255508\pi$
$104$	−6.99278	+	6.33229i	−0.685698	+	0.620932i
$105$		−	1.81589i		−	0.177213i
$106$	4.06162	−	14.2152i	0.394500	−	1.38070i
$107$	4.99904	+	4.99904i	0.483276	+	0.483276i	0.906176	−	0.422900i	$-0.138988\pi$
$107$	4.99904	+	4.99904i	0.483276	+	0.483276i	−0.422900	+	0.906176i	$0.638988\pi$
$108$	0.270543	+	1.16184i	0.0260330	+	0.111798i
$109$	2.95782	+	2.95782i	0.283308	+	0.283308i	0.834427	−	0.551119i	$-0.185799\pi$
$109$	2.95782	+	2.95782i	0.283308	+	0.283308i	−0.551119	+	0.834427i	$0.685799\pi$
$110$	9.73811	−	5.40995i	0.928492	−	0.515818i
$111$			0.272358i			0.0258510i
$112$	8.32367	+	16.9037i	0.786513	+	1.59725i
$113$	−1.29092			−0.121440			−0.0607200	−	0.998155i	$-0.519340\pi$
$113$	−1.29092			−0.121440			−0.0607200	+	0.998155i	$0.519340\pi$
$114$	−0.348084	−	0.626564i	−0.0326011	−	0.0586831i
$115$	8.28615	−	8.28615i	0.772688	−	0.772688i
$116$	19.1797	−	4.46615i	1.78079	−	0.414671i
$117$	7.05197	−	7.05197i	0.651955	−	0.651955i
$118$	−7.71498	−	2.20435i	−0.710222	−	0.202927i
$119$		−	14.3510i		−	1.31555i
$120$	−1.08902	−	0.0539801i	−0.0994136	−	0.00492769i
$121$			6.86016i			0.623651i
$122$	−0.0547899	+	0.191758i	−0.00496045	+	0.0173610i
$123$	−0.594305	−	0.230912i	−0.0535867	−	0.0208206i
$124$	−6.25037	+	10.0449i	−0.561300	+	0.902054i
$125$	13.6556	−	13.6556i	1.22140	−	1.22140i
$126$	−9.67330	−	17.4123i	−0.861766	−	1.55121i
$127$	−14.0232			−1.24436			−0.622181	−	0.782873i	$-0.713753\pi$
$127$	−14.0232			−1.24436			−0.622181	+	0.782873i	$0.713753\pi$
$128$	10.3849	−	4.48936i	0.917902	−	0.396807i
$129$			0.459969i			0.0404980i
$130$	8.86836	+	15.9634i	0.777806	+	1.40008i
$131$	−4.19074	+	4.19074i	−0.366147	+	0.366147i	−0.866070	−	0.499923i	$-0.833362\pi$
$131$	−4.19074	+	4.19074i	−0.366147	+	0.366147i	0.499923	+	0.866070i	$0.333362\pi$
$132$	−0.214074	+	0.344035i	−0.0186328	+	0.0299444i
$133$	16.9536	+	16.9536i	1.47006	+	1.47006i
$134$	−16.0043	−	4.57281i	−1.38256	−	0.395031i
$135$	2.30918			0.198742
$136$	−8.60652	−	0.426604i	−0.738003	−	0.0365810i
$137$	2.36134			0.201743			0.100871	−	0.994899i	$-0.467837\pi$
$137$	2.36134			0.201743			0.100871	+	0.994899i	$0.467837\pi$
$138$	−0.117101	+	0.409840i	−0.00996830	+	0.0348879i
$139$	9.23799	+	9.23799i	0.783556	+	0.783556i	0.980429	−	0.196873i	$-0.0630787\pi$
$139$	9.23799	+	9.23799i	0.783556	+	0.783556i	−0.196873	+	0.980429i	$0.563079\pi$
$140$	35.5226	−	8.27174i	3.00221	−	0.699090i
$141$	0.0811320	−	0.0811320i	0.00683254	−	0.00683254i
$142$	10.2371	−	5.68714i	0.859076	−	0.477255i
$143$	6.78632			0.567500
$144$	−10.7300	+	5.28363i	−0.894167	+	0.440303i
$145$		−	38.1201i		−	3.16570i
$146$	4.97249	+	8.95067i	0.411526	+	0.740762i
$147$	−1.06943	−	1.06943i	−0.0882053	−	0.0882053i
$148$	−5.32789	+	1.24064i	−0.437950	+	0.101980i
$149$	7.98513	−	7.98513i	0.654167	−	0.654167i	−0.299826	−	0.953994i	$-0.596929\pi$
$149$	7.98513	−	7.98513i	0.654167	−	0.654167i	0.953994	+	0.299826i	$0.0969288\pi$
$150$	−0.386420	+	1.35242i	−0.0315510	+	0.110425i
$151$	−7.72919			−0.628992			−0.314496	−	0.949259i	$-0.601836\pi$
$151$	−7.72919			−0.628992			−0.314496	+	0.949259i	$0.601836\pi$
$152$	10.6713	−	9.66337i	0.865558	−	0.783803i
$153$	9.10959			0.736467
$154$	3.72373	−	13.0326i	0.300067	−	1.05020i
$155$	16.1936	+	16.1936i	1.30070	+	1.30070i
$156$	−0.563965	−	0.350925i	−0.0451534	−	0.0280965i
$157$	1.61814	+	1.61814i	0.129142	+	0.129142i	0.768723	−	0.639582i	$-0.220892\pi$
$157$	1.61814	+	1.61814i	0.129142	+	0.129142i	−0.639582	+	0.768723i	$0.720892\pi$
$158$	−1.35748	−	2.44352i	−0.107995	−	0.194396i
$159$	1.04094			0.0825523
$160$	−3.90474	−	21.5494i	−0.308697	−	1.70363i
$161$		−	14.2580i		−	1.12369i
$162$	11.0161	−	6.11991i	0.865504	−	0.480825i
$163$	−15.6612	+	15.6612i	−1.22668	+	1.22668i	−0.261469	+	0.965212i	$0.584207\pi$
$163$	−15.6612	+	15.6612i	−1.22668	+	1.22668i	−0.965212	+	0.261469i	$0.915793\pi$
$164$	1.80994	−	12.6777i	0.141332	−	0.989962i
$165$	0.554627	+	0.554627i	0.0431777	+	0.0431777i
$166$	3.57649	−	12.5173i	0.277589	−	0.971530i
$167$	−3.04721			−0.235800			−0.117900	−	0.993025i	$-0.537616\pi$
$167$	−3.04721			−0.235800			−0.117900	+	0.993025i	$0.537616\pi$
$168$	−0.983381	+	0.890497i	−0.0758695	+	0.0687033i
$169$		−	1.87540i		−	0.144262i
$170$	−4.58260	+	16.0386i	−0.351469	+	1.23010i
$171$	−10.7617	+	10.7617i	−0.822964	+	0.822964i
$172$	−8.99795	+	2.09525i	−0.686087	+	0.159761i
$173$	17.0655	−	17.0655i	1.29746	−	1.29746i	0.367402	−	0.930062i	$-0.380247\pi$
$173$	17.0655	−	17.0655i	1.29746	−	1.29746i	0.930062	−	0.367402i	$-0.119753\pi$
$174$	0.673366	+	1.21208i	0.0510478	+	0.0918879i
$175$		−	47.0496i		−	3.55662i
$176$	−7.70519	−	2.62060i	−0.580801	−	0.197535i
$177$		−	0.564949i		−	0.0424642i
$178$	8.55743	−	4.75403i	0.641406	−	0.356329i
$179$	11.3509	+	11.3509i	0.848404	+	0.848404i	0.989934	−	0.141530i	$-0.0452023\pi$
$179$	11.3509	+	11.3509i	0.848404	+	0.848404i	−0.141530	+	0.989934i	$0.545202\pi$
$180$	5.25067	+	22.5488i	0.391362	+	1.68069i
$181$	−15.9961	+	15.9961i	−1.18898	+	1.18898i	−0.211635	+	0.977349i	$0.567879\pi$
$181$	−15.9961	+	15.9961i	−1.18898	+	1.18898i	−0.977349	+	0.211635i	$0.932121\pi$
$182$	21.3640	+	6.10419i	1.58360	+	0.452473i
$183$	−0.0140420			−0.00103801
$184$	−8.55075	−	0.423840i	−0.630370	−	0.0312459i
$185$			10.5893i			0.778540i
$186$	−0.800947	−	0.228850i	−0.0587283	−	0.0167801i
$187$	4.38321	+	4.38321i	0.320532	+	0.320532i
$188$	1.95668	+	1.21754i	0.142706	+	0.0887982i
$189$	1.98670	−	1.98670i	0.144511	−	0.144511i
$190$	−13.5335	−	24.3609i	−0.981826	−	1.76732i
$191$		−	1.04934i		−	0.0759279i	−0.999279	−	0.0379639i	$-0.987913\pi$
$191$		−	1.04934i		−	0.0759279i	0.999279	−	0.0379639i	$-0.0120872\pi$
$192$	0.504814	+	0.616222i	0.0364318	+	0.0444720i
$193$			17.9238i			1.29018i	0.764105	+	0.645092i	$0.223181\pi$
$193$			17.9238i			1.29018i	−0.764105	+	0.645092i	$0.776819\pi$
$194$	8.21542	+	14.7881i	0.589833	+	1.06172i
$195$	−0.909183	+	0.909183i	−0.0651080	+	0.0651080i
$196$	16.0489	−	25.7918i	1.14635	−	1.84227i
$197$	11.3773	+	11.3773i	0.810602	+	0.810602i	0.984724	−	0.174122i	$-0.0557086\pi$
$197$	11.3773	+	11.3773i	0.810602	+	0.810602i	−0.174122	+	0.984724i	$0.555709\pi$
$198$	8.27274	+	2.36372i	0.587918	+	0.167982i
$199$	−14.7990			−1.04908			−0.524538	−	0.851387i	$-0.675762\pi$
$199$	−14.7990			−1.04908			−0.524538	+	0.851387i	$0.675762\pi$
$200$	−28.2165	−	1.39862i	−1.99521	−	0.0988975i
$201$		−	1.17196i		−	0.0826635i
$202$	1.57232	−	5.50294i	0.110628	−	0.387186i
$203$	−32.7966	−	32.7966i	−2.30187	−	2.30187i
$204$	−0.137600	−	0.590919i	−0.00963395	−	0.0413726i
$205$	−23.1066	−	8.97787i	−1.61384	−	0.627041i
$206$	10.0264	+	18.0479i	0.698572	+	1.25746i
$207$	9.05056			0.629058
$208$	4.29586	−	12.6309i	0.297865	−	0.875794i
$209$	−10.3562			−0.716356
$210$	1.24714	+	2.24490i	0.0860608	+	0.154913i
$211$	−14.9028	−	14.9028i	−1.02595	−	1.02595i	−0.999654	−	0.0262948i	$-0.991629\pi$
$211$	−14.9028	−	14.9028i	−1.02595	−	1.02595i	−0.0262948	−	0.999654i	$-0.508371\pi$
$212$	4.74171	+	20.3631i	0.325662	+	1.39854i
$213$	0.583045	+	0.583045i	0.0399496	+	0.0399496i
$214$	−9.61338	−	2.74677i	−0.657157	−	0.187765i
$215$			17.8836i			1.21965i
$216$	−1.13240	−	1.25052i	−0.0770500	−	0.0850868i
$217$	27.8642			1.89155
$218$	−5.68802	−	1.62520i	−0.385241	−	0.110073i
$219$	−0.509779	+	0.509779i	−0.0344477	+	0.0344477i
$220$	−8.32323	+	13.3761i	−0.561152	+	0.901817i
$221$	−7.18526	+	7.18526i	−0.483333	+	0.483333i
$222$	−0.187053	−	0.336702i	−0.0125542	−	0.0225980i
$223$	11.2259			0.751743			0.375872	−	0.926672i	$-0.377343\pi$
$223$	11.2259			0.751743			0.375872	+	0.926672i	$0.377343\pi$
$224$	−21.8995	−	15.1806i	−1.46322	−	1.01430i
$225$	29.8658			1.99105
$226$	1.59591	−	0.886596i	0.106158	−	0.0589755i
$227$	−14.8496	−	14.8496i	−0.985605	−	0.985605i	0.0142927	−	0.999898i	$-0.495450\pi$
$227$	−14.8496	−	14.8496i	−0.985605	−	0.985605i	−0.999898	+	0.0142927i	$0.995450\pi$
$228$	0.860638	+	0.535529i	0.0569972	+	0.0354663i
$229$	−10.5315	+	10.5315i	−0.695942	+	0.695942i	−0.963533	−	0.267591i	$-0.913772\pi$
$229$	−10.5315	+	10.5315i	−0.695942	+	0.695942i	0.267591	+	0.963533i	$0.413772\pi$
$230$	−4.55290	+	15.9346i	−0.300209	+	1.05070i
$231$	0.954346			0.0627914
$232$	−20.6436	+	18.6937i	−1.35532	+	1.22730i
$233$	−11.6807			−0.765229			−0.382615	−	0.923908i	$-0.624976\pi$
$233$	−11.6807			−0.765229			−0.382615	+	0.923908i	$0.624976\pi$
$234$	−3.87477	+	13.5612i	−0.253302	+	0.886527i
$235$	3.15442	−	3.15442i	0.205772	−	0.205772i
$236$	11.0516	−	2.57345i	0.719397	−	0.167518i
$237$	0.139169	−	0.139169i	0.00903999	−	0.00903999i
$238$	9.85613	+	17.7414i	0.638878	+	1.15000i
$239$			0.699588i			0.0452526i	0.999744	+	0.0226263i	$0.00720278\pi$
$239$			0.699588i			0.0452526i	−0.999744	+	0.0226263i	$0.992797\pi$
$240$	1.38338	−	0.681198i	0.0892966	−	0.0439711i
$241$	2.48754			0.160237			0.0801184	−	0.996785i	$-0.474470\pi$
$241$	2.48754			0.160237			0.0801184	+	0.996785i	$0.474470\pi$
$242$	−4.71150	−	8.48088i	−0.302867	−	0.545171i
$243$	1.89270	+	1.89270i	0.121416	+	0.121416i
$244$	−0.0639640	−	0.274691i	−0.00409488	−	0.0175853i
$245$	−41.5796	−	41.5796i	−2.65643	−	2.65643i
$246$	0.893299	−	0.122699i	0.0569546	−	0.00782303i
$247$		−	16.9767i		−	1.08020i
$248$	0.828307	−	16.7107i	0.0525975	−	1.06113i
$249$	0.916610			0.0580878
$250$	−7.50320	+	26.2603i	−0.474544	+	1.66085i
$251$	13.8605	+	13.8605i	0.874867	+	0.874867i	0.992998	−	0.118131i	$-0.0376903\pi$
$251$	13.8605	+	13.8605i	0.874867	+	0.874867i	−0.118131	+	0.992998i	$0.537690\pi$
$252$	23.9172	+	14.8824i	1.50664	+	0.937504i
$253$	4.35481	+	4.35481i	0.273784	+	0.273784i
$254$	17.3363	−	9.63105i	1.08777	−	0.604306i
$255$	−1.17446			−0.0735478
$256$	−9.75506	+	12.6822i	−0.609691	+	0.792639i
$257$			20.6141i			1.28587i	0.765921	+	0.642935i	$0.222283\pi$
$257$			20.6141i			1.28587i	−0.765921	+	0.642935i	$0.777717\pi$
$258$	−0.315903	−	0.568637i	−0.0196672	−	0.0354018i
$259$	9.11049	+	9.11049i	0.566099	+	0.566099i
$260$	−21.9270	−	13.6440i	−1.35986	−	0.846166i
$261$	20.8183	−	20.8183i	1.28862	−	1.28862i
$262$	2.30264	−	8.05898i	0.142258	−	0.497886i
$263$	22.1646			1.36673			0.683365	−	0.730077i	$-0.260516\pi$
$263$	22.1646			1.36673			0.683365	+	0.730077i	$0.260516\pi$
$264$	0.0283694	−	0.572338i	0.00174602	−	0.0352250i
$265$	40.4720			2.48618
$266$	−32.6024	−	9.31529i	−1.99898	−	0.571157i
$267$	0.487382	+	0.487382i	0.0298273	+	0.0298273i
$268$	22.9259	−	5.33849i	1.40042	−	0.326100i
$269$	4.19840	−	4.19840i	0.255981	−	0.255981i	−0.567436	−	0.823417i	$-0.692065\pi$
$269$	4.19840	−	4.19840i	0.255981	−	0.255981i	0.823417	+	0.567436i	$0.192065\pi$
$270$	−2.85472	+	1.58592i	−0.173733	+	0.0965163i
$271$	16.9969			1.03249			0.516245	−	0.856441i	$-0.327329\pi$
$271$	16.9969			1.03249			0.516245	+	0.856441i	$0.327329\pi$
$272$	10.9328	−	5.38350i	0.662899	−	0.326423i
$273$			1.56443i			0.0946836i
$274$	−2.91921	+	1.62175i	−0.176356	+	0.0979734i
$275$	14.3704	+	14.3704i	0.866565	+	0.866565i
$276$	−0.136709	−	0.587089i	−0.00822889	−	0.0353386i
$277$	−4.37764	−	4.37764i	−0.263027	−	0.263027i	0.563256	−	0.826283i	$-0.309549\pi$
$277$	−4.37764	−	4.37764i	−0.263027	−	0.263027i	−0.826283	+	0.563256i	$0.809549\pi$
$278$	−17.7650	−	5.07590i	−1.06548	−	0.304432i
$279$			17.6874i			1.05892i
$280$	−38.2339	+	34.6226i	−2.28491	+	2.06910i
$281$	−26.9347			−1.60679			−0.803396	−	0.595446i	$-0.796975\pi$
$281$	−26.9347			−1.60679			−0.803396	+	0.595446i	$0.796975\pi$
$282$	−0.0445787	+	0.156020i	−0.00265462	+	0.00929087i
$283$	−9.64513	−	9.64513i	−0.573343	−	0.573343i	0.359718	−	0.933061i	$-0.382873\pi$
$283$	−9.64513	−	9.64513i	−0.573343	−	0.573343i	−0.933061	+	0.359718i	$0.882873\pi$
$284$	−8.74970	+	14.0615i	−0.519199	+	0.834395i
$285$	1.38746	−	1.38746i	0.0821859	−	0.0821859i
$286$	−8.38959	+	4.66079i	−0.496087	+	0.275598i
$287$	−27.6039	+	12.1557i	−1.62941	+	0.717528i
$288$	9.63622	−	13.9012i	0.567820	−	0.819135i
$289$	7.71823			0.454013
$290$	26.1805	+	47.1260i	1.53737	+	2.76733i
$291$	−0.842244	+	0.842244i	−0.0493732	+	0.0493732i
$292$	−12.2945	−	7.65020i	−0.719481	−	0.447694i
$293$	−11.2629	+	11.2629i	−0.657986	+	0.657986i	−0.954903	−	0.296917i	$-0.904041\pi$
$293$	−11.2629	+	11.2629i	−0.657986	+	0.657986i	0.296917	+	0.954903i	$0.404041\pi$
$294$	2.05656	+	0.587609i	0.119941	+	0.0342701i
$295$		−	21.9653i		−	1.27887i
$296$	5.73454	−	5.19290i	0.333313	−	0.301831i
$297$			1.21359i			0.0704198i
$298$	−4.38750	+	15.3558i	−0.254161	+	0.889535i
$299$	−7.13870	+	7.13870i	−0.412842	+	0.412842i
$300$	−0.451122	−	1.93733i	−0.0260456	−	0.111852i
$301$	15.3862	+	15.3862i	0.886844	+	0.886844i
$302$	9.55522	−	5.30834i	0.549841	−	0.305461i
$303$	0.402967			0.0231498
$304$	−6.55570	+	19.2753i	−0.375995	+	1.10552i
$305$	−0.545954			−0.0312613
$306$	−11.2617	+	6.25640i	−0.643791	+	0.357654i
$307$	−5.37386	+	5.37386i	−0.306702	+	0.306702i	−0.843629	−	0.536927i	$-0.819585\pi$
$307$	−5.37386	+	5.37386i	−0.306702	+	0.306702i	0.536927	+	0.843629i	$0.319585\pi$
$308$	4.34723	+	18.6690i	0.247707	+	1.06377i
$309$	−1.02791	+	1.02791i	−0.0584755	+	0.0584755i
$310$	−31.1409	−	8.89770i	−1.76869	−	0.505355i
$311$	−6.14131			−0.348242			−0.174121	−	0.984724i	$-0.555708\pi$
$311$	−6.14131			−0.348242			−0.174121	+	0.984724i	$0.555708\pi$
$312$	0.938216	+	0.0465051i	0.0531160	+	0.00263283i
$313$	−25.0103			−1.41367			−0.706833	−	0.707380i	$-0.749877\pi$
$313$	−25.0103			−1.41367			−0.706833	+	0.707380i	$0.749877\pi$
$314$	−3.11175	−	0.889101i	−0.175606	−	0.0501749i
$315$	38.5576	−	38.5576i	2.17247	−	2.17247i
$316$	3.35638	+	2.08849i	0.188811	+	0.117487i
$317$	−15.3871	−	15.3871i	−0.864226	−	0.864226i	0.127600	−	0.991826i	$-0.459273\pi$
$317$	−15.3871	−	15.3871i	−0.864226	−	0.864226i	−0.991826	+	0.127600i	$0.959273\pi$
$318$	−1.28687	+	0.714913i	−0.0721640	+	0.0400903i
$319$	20.0341			1.12169
$320$	19.6272	+	23.9588i	1.09719	+	1.33934i
$321$		−	0.703964i		−	0.0392914i
$322$	9.79226	+	17.6264i	0.545701	+	0.982283i
$323$	10.9651	−	10.9651i	0.610112	−	0.610112i
$324$	−9.41552	+	15.1315i	−0.523084	+	0.840638i
$325$	−23.5569	+	23.5569i	−1.30670	+	1.30670i
$326$	8.60519	−	30.1172i	0.476598	−	1.66804i
$327$		−	0.416520i		−	0.0230336i
$328$	6.46941	+	16.9159i	0.357213	+	0.934023i
$329$		−	5.42781i		−	0.299245i
$330$	−1.06657	−	0.304745i	−0.0587129	−	0.0167757i
$331$	−14.4298	+	14.4298i	−0.793134	+	0.793134i	−0.982002	−	0.188869i	$-0.939518\pi$
$331$	−14.4298	+	14.4298i	−0.793134	+	0.793134i	0.188869	+	0.982002i	$0.439518\pi$
$332$	4.17534	+	17.9308i	0.229151	+	0.984081i
$333$	−5.78309	+	5.78309i	−0.316911	+	0.316911i
$334$	3.76712	−	2.09280i	0.206127	−	0.114513i
$335$		−	45.5658i		−	2.48953i
$336$	0.604119	−	1.77626i	0.0329574	−	0.0969027i
$337$	−31.4767			−1.71464			−0.857322	−	0.514780i	$-0.827874\pi$
$337$	−31.4767			−1.71464			−0.857322	+	0.514780i	$0.827874\pi$
$338$	1.28801	+	2.31847i	0.0700586	+	0.126108i
$339$	0.0908938	+	0.0908938i	0.00493667	+	0.00493667i
$340$	−5.34991	−	22.9750i	−0.290140	−	1.24599i
$341$	−8.51057	+	8.51057i	−0.460873	+	0.460873i
$342$	5.91309	−	20.6951i	0.319743	−	1.11906i
$343$	−38.5726			−2.08273
$344$	9.68473	−	8.76997i	0.522165	−	0.472845i
$345$	−1.16685			−0.0628213
$346$	−9.37678	+	32.8176i	−0.504099	+	1.76429i
$347$	−9.85818	+	9.85818i	−0.529215	+	0.529215i	−0.920338	−	0.391124i	$-0.872087\pi$
$347$	−9.85818	+	9.85818i	−0.529215	+	0.529215i	0.391124	+	0.920338i	$0.372087\pi$
$348$	−1.66490	−	1.03598i	−0.0892480	−	0.0555342i
$349$	−11.2186	+	11.2186i	−0.600520	+	0.600520i	−0.940450	−	0.339931i	$-0.889596\pi$
$349$	−11.2186	+	11.2186i	−0.600520	+	0.600520i	0.339931	+	0.940450i	$0.389596\pi$
$350$	32.3133	+	58.1652i	1.72722	+	3.10906i
$351$	−1.98941			−0.106187
$352$	11.3254	−	2.05215i	0.603643	−	0.109380i
$353$	−3.11142			−0.165604			−0.0828020	−	0.996566i	$-0.526387\pi$
$353$	−3.11142			−0.165604			−0.0828020	+	0.996566i	$0.526387\pi$
$354$	0.388003	+	0.698419i	0.0206221	+	0.0371206i
$355$	22.6689	+	22.6689i	1.20314	+	1.20314i
$356$	−7.31410	+	11.7543i	−0.387646	+	0.622979i
$357$	−1.01045	+	1.01045i	−0.0534787	+	0.0534787i
$358$	−21.8282	−	6.23684i	−1.15366	−	0.329627i
$359$			0.212215i			0.0112003i	0.999984	+	0.00560014i	$0.00178259\pi$
$359$			0.212215i			0.0112003i	−0.999984	+	0.00560014i	$0.998217\pi$
$360$	−21.9775	−	24.2698i	−1.15831	−	1.27913i
$361$			6.90722i			0.363538i
$362$	8.78923	−	30.7613i	0.461951	−	1.61678i
$363$	0.483023	−	0.483023i	0.0253521	−	0.0253521i
$364$	−30.6035	+	7.12629i	−1.60406	+	0.373519i
$365$	−19.8203	+	19.8203i	−1.03744	+	1.03744i
$366$	0.0173594	−	0.00964393i	0.000907392	−	0.000504096i
$367$	−5.87409			−0.306625			−0.153313	−	0.988178i	$-0.548994\pi$
$367$	−5.87409			−0.306625			−0.153313	+	0.988178i	$0.548994\pi$
$368$	10.8620	−	5.34861i	0.566219	−	0.278816i
$369$	−7.71609	−	17.5222i	−0.401684	−	0.912168i
$370$	−7.27264	−	13.0910i	−0.378087	−	0.680570i
$371$	34.8201	−	34.8201i	1.80777	−	1.80777i
$372$	1.14734	−	0.267169i	0.0594870	−	0.0138520i
$373$	5.04430	+	5.04430i	0.261184	+	0.261184i	0.825535	−	0.564351i	$-0.190874\pi$
$373$	5.04430	+	5.04430i	0.261184	+	0.261184i	−0.564351	+	0.825535i	$0.690874\pi$
$374$	−8.42910	−	2.40840i	−0.435859	−	0.124535i
$375$	−1.92298			−0.0993022
$376$	−3.25515	−	0.161350i	−0.167871	−	0.00832098i
$377$			32.8413i			1.69141i
$378$	−1.09161	+	3.82051i	−0.0561463	+	0.196506i
$379$	10.7770	+	10.7770i	0.553578	+	0.553578i	0.927472	−	0.373894i	$-0.121978\pi$
$379$	10.7770	+	10.7770i	0.553578	+	0.553578i	−0.373894	+	0.927472i	$0.621978\pi$
$380$	33.4617	+	20.8214i	1.71655	+	1.06812i
$381$	0.987375	+	0.987375i	0.0505847	+	0.0505847i
$382$	0.720681	+	1.29725i	0.0368733	+	0.0663732i
$383$		−	2.81355i		−	0.143766i	−0.997413	−	0.0718830i	$-0.977099\pi$
$383$		−	2.81355i		−	0.143766i	0.997413	−	0.0718830i	$-0.0229008\pi$
$384$	−1.04729	−	0.415102i	−0.0534444	−	0.0211831i
$385$	37.1051			1.89105
$386$	−12.3099	−	22.1583i	−0.626559	−	1.12783i
$387$	−9.76671	+	9.76671i	−0.496470	+	0.496470i
$388$	−20.3127	−	12.6395i	−1.03122	−	0.641672i
$389$	−8.56426	−	8.56426i	−0.434225	−	0.434225i	0.455838	−	0.890063i	$-0.349340\pi$
$389$	−8.56426	−	8.56426i	−0.434225	−	0.434225i	−0.890063	+	0.455838i	$0.849340\pi$
$390$	0.499559	−	1.74840i	0.0252962	−	0.0885336i
$391$	−9.22163			−0.466358
$392$	−2.12681	+	42.9074i	−0.107420	+	2.16715i
$393$	0.590139			0.0297686
$394$	−21.8791	−	6.25139i	−1.10225	−	0.314940i
$395$	5.41090	−	5.41090i	0.272252	−	0.272252i
$396$	−11.8506	+	2.75950i	−0.595514	+	0.138670i
$397$	−4.81003	−	4.81003i	−0.241409	−	0.241409i	0.576024	−	0.817433i	$-0.304603\pi$
$397$	−4.81003	−	4.81003i	−0.241409	−	0.241409i	−0.817433	+	0.576024i	$0.804603\pi$
$398$	18.2953	−	10.1639i	0.917062	−	0.509469i
$399$		−	2.38740i		−	0.119519i
$400$	35.8432	−	17.6498i	1.79216	−	0.882490i
$401$	10.9793			0.548279			0.274139	−	0.961690i	$-0.411607\pi$
$401$	10.9793			0.548279			0.274139	+	0.961690i	$0.411607\pi$
$402$	0.804891	+	1.44883i	0.0401443	+	0.0722612i
$403$	−13.9511	−	13.9511i	−0.694954	−	0.694954i
$404$	1.83559	+	7.88288i	0.0913242	+	0.392188i
$405$	24.3939	+	24.3939i	1.21214	+	1.21214i
$406$	63.0692	+	18.0204i	3.13007	+	0.894336i
$407$	−5.56523			−0.275858
$408$	0.575947	+	0.636021i	0.0285136	+	0.0314877i
$409$		−	20.6441i		−	1.02079i	−0.859942	−	0.510393i	$-0.829500\pi$
$409$		−	20.6441i		−	1.02079i	0.859942	−	0.510393i	$-0.170500\pi$
$410$	34.7315	−	4.77057i	1.71527	−	0.235601i
$411$	−0.166261	−	0.166261i	−0.00820107	−	0.00820107i
$412$	−24.7903	−	15.4257i	−1.22133	−	0.759968i
$413$	−18.8978	−	18.8978i	−0.929901	−	0.929901i
$414$	−11.1888	+	6.21585i	−0.549898	+	0.305493i
$415$	35.6379			1.74940
$416$	3.36402	+	18.5653i	0.164935	+	0.910239i
$417$		−	1.30089i		−	0.0637049i
$418$	12.8029	−	7.11259i	0.626211	−	0.347888i
$419$	19.3337	−	19.3337i	0.944511	−	0.944511i	−0.0540282	−	0.998539i	$-0.517206\pi$
$419$	19.3337	−	19.3337i	0.944511	−	0.944511i	0.998539	+	0.0540282i	$0.0172061\pi$
$420$	−3.08356	−	1.91873i	−0.150462	−	0.0936245i
$421$	0.696046	−	0.696046i	0.0339232	−	0.0339232i	−0.689942	−	0.723865i	$-0.742364\pi$
$421$	0.696046	−	0.696046i	0.0339232	−	0.0339232i	0.723865	+	0.689942i	$0.242364\pi$
$422$	28.6587	+	8.18846i	1.39508	+	0.398608i
$423$	3.44542			0.167522
$424$	−19.8471	−	21.9173i	−0.963862	−	1.06440i
$425$	−30.4303			−1.47609
$426$	−1.12122	−	0.320360i	−0.0543234	−	0.0155215i
$427$	−0.469711	+	0.469711i	−0.0227309	+	0.0227309i
$428$	13.7710	−	3.20669i	0.665647	−	0.155001i
$429$	−0.477823	−	0.477823i	−0.0230695	−	0.0230695i
$430$	−12.2823	−	22.1087i	−0.592307	−	1.06617i
$431$	−33.8327			−1.62966			−0.814832	−	0.579698i	$-0.803171\pi$
$431$	−33.8327			−1.62966			−0.814832	+	0.579698i	$0.803171\pi$
$432$	2.25877	+	0.768227i	0.108675	+	0.0369614i
$433$	0.339687			0.0163243			0.00816216	−	0.999967i	$-0.497402\pi$
$433$	0.339687			0.0163243			0.00816216	+	0.999967i	$0.497402\pi$
$434$	−34.4472	+	19.1369i	−1.65352	+	0.918602i
$435$	−2.68403	+	2.68403i	−0.128689	+	0.128689i
$436$	8.14800	−	1.89733i	0.390218	−	0.0908656i
$437$	10.8940	−	10.8940i	0.521131	−	0.521131i
$438$	0.280103	−	0.980327i	0.0133838	−	0.0468419i
$439$	−18.2096			−0.869097			−0.434549	−	0.900648i	$-0.643092\pi$
$439$	−18.2096			−0.869097			−0.434549	+	0.900648i	$0.643092\pi$
$440$	1.10301	−	22.2526i	0.0525837	−	1.06085i
$441$		−	45.4154i		−	2.16264i
$442$	3.94801	−	13.8176i	0.187788	−	0.657235i
$443$	−9.41262	−	9.41262i	−0.447207	−	0.447207i	0.447218	−	0.894425i	$-0.352415\pi$
$443$	−9.41262	−	9.41262i	−0.447207	−	0.447207i	−0.894425	+	0.447218i	$0.852415\pi$
$444$	0.462489	+	0.287782i	0.0219488	+	0.0136575i
$445$	18.9495	+	18.9495i	0.898291	+	0.898291i
$446$	−13.8781	+	7.70987i	−0.657145	+	0.365073i
$447$	−1.12446			−0.0531853
$448$	37.4992	+	3.72664i	1.77167	+	0.176067i
$449$	−23.8499			−1.12555			−0.562774	−	0.826611i	$-0.690266\pi$
$449$	−23.8499			−1.12555			−0.562774	+	0.826611i	$0.690266\pi$
$450$	−36.9216	+	20.5116i	−1.74050	+	0.966926i
$451$	4.71834	−	12.1438i	0.222178	−	0.571827i
$452$	−1.36403	+	2.19211i	−0.0641587	+	0.103108i
$453$	0.544211	+	0.544211i	0.0255693	+	0.0255693i
$454$	28.5565	+	8.15927i	1.34022	+	0.382933i
$455$			60.8252i			2.85153i
$456$	−1.43176	−	0.0709690i	−0.0670484	−	0.00332343i
$457$	12.9245			0.604583			0.302292	−	0.953215i	$-0.402248\pi$
$457$	12.9245			0.604583			0.302292	+	0.953215i	$0.402248\pi$
$458$	5.78663	−	20.2525i	0.270392	−	0.946339i
$459$	−1.28494	−	1.28494i	−0.0599757	−	0.0599757i
$460$	−5.31525	−	22.8261i	−0.247825	−	1.06427i
$461$	23.4668	−	23.4668i	1.09296	−	1.09296i	0.0977463	−	0.995211i	$-0.468837\pi$
$461$	23.4668	−	23.4668i	1.09296	−	1.09296i	0.995211	−	0.0977463i	$-0.0311634\pi$
$462$	−1.17981	+	0.655437i	−0.0548898	+	0.0304937i
$463$			32.7151i			1.52040i	0.649690	+	0.760199i	$0.274899\pi$
$463$			32.7151i			1.52040i	−0.649690	+	0.760199i	$0.725101\pi$
$464$	12.6820	−	37.2880i	0.588745	−	1.73105i
$465$		−	2.28037i		−	0.105750i
$466$	14.4403	−	8.02222i	0.668934	−	0.371622i
$467$	−19.3924	+	19.3924i	−0.897375	+	0.897375i	−0.995203	−	0.0978287i	$-0.968810\pi$
$467$	−19.3924	+	19.3924i	−0.897375	+	0.897375i	0.0978287	+	0.995203i	$0.468810\pi$
$468$	−4.52357	−	19.4263i	−0.209102	−	0.897980i
$469$	−39.2025	−	39.2025i	−1.81020	−	1.81020i
$470$	−1.73322	+	6.06608i	−0.0799477	+	0.279808i
$471$		−	0.227866i		−	0.0104995i
$472$	−11.8951	+	10.7716i	−0.547517	+	0.495802i
$473$	−9.39879			−0.432157
$474$	−0.0764676	+	0.267628i	−0.00351227	+	0.0122926i
$475$	35.9489	−	35.9489i	1.64945	−	1.64945i
$476$	−24.3693	−	15.1637i	−1.11697	−	0.695028i
$477$	22.1028	+	22.1028i	1.01202	+	1.01202i
$478$	−0.480471	−	0.864866i	−0.0219762	−	0.0395581i
$479$		−	9.07998i		−	0.414875i	−0.978248	−	0.207437i	$-0.933488\pi$
$479$		−	9.07998i		−	0.414875i	0.978248	−	0.207437i	$-0.0665124\pi$
$480$	−1.24236	+	1.79222i	−0.0567057	+	0.0818035i
$481$		−	9.12291i		−	0.415969i
$482$	−3.07523	+	1.70842i	−0.140073	+	0.0778166i
$483$	−1.00390	+	1.00390i	−0.0456791	+	0.0456791i
$484$	11.6492	+	7.24867i	0.529509	+	0.329485i
$485$	−32.7466	+	32.7466i	−1.48694	+	1.48694i
$486$	−3.63973	−	1.03996i	−0.165102	−	0.0471735i
$487$		−	2.24860i		−	0.101894i	−0.998701	−	0.0509470i	$-0.983776\pi$
$487$		−	2.24860i		−	0.101894i	0.998701	−	0.0509470i	$-0.0162240\pi$
$488$	0.267731	+	0.295657i	0.0121196	+	0.0133838i
$489$	2.20541			0.0997319
$490$	79.9594	+	22.8463i	3.61220	+	1.03209i
$491$	3.07848	+	3.07848i	0.138930	+	0.138930i	0.773151	−	0.634222i	$-0.218679\pi$
$491$	3.07848	+	3.07848i	0.138930	+	0.138930i	−0.634222	+	0.773151i	$0.718679\pi$
$492$	−1.02007	+	0.765198i	−0.0459884	+	0.0344978i
$493$	−21.2118	+	21.2118i	−0.955333	+	0.955333i
$494$	11.6594	+	20.9874i	0.524583	+	0.944269i
$495$			23.5533i			1.05864i
$496$	10.4528	+	21.2274i	0.469343	+	0.953141i
$497$	39.0063			1.74967
$498$	−1.13316	+	0.629520i	−0.0507781	+	0.0282095i
$499$	12.3889	+	12.3889i	0.554603	+	0.554603i	0.927766	−	0.373163i	$-0.121727\pi$
$499$	12.3889	+	12.3889i	0.554603	+	0.554603i	−0.373163	+	0.927766i	$0.621727\pi$
$500$	−8.75955	−	37.6175i	−0.391739	−	1.68231i
$501$	0.214554	+	0.214554i	0.00958555	+	0.00958555i
$502$	−26.6543	−	7.61578i	−1.18964	−	0.339909i
$503$	20.4394			0.911347			0.455674	−	0.890147i	$-0.349398\pi$
$503$	20.4394			0.911347			0.455674	+	0.890147i	$0.349398\pi$
$504$	−39.7888	−	1.97224i	−1.77234	−	0.0878504i
$505$	15.6674			0.697190
$506$	−8.37448	−	2.39279i	−0.372291	−	0.106372i
$507$	−0.132047	+	0.132047i	−0.00586440	+	0.00586440i
$508$	−14.8174	+	23.8128i	−0.657417	+	1.05652i
$509$	2.14552	+	2.14552i	0.0950983	+	0.0950983i	0.753055	−	0.657957i	$-0.228579\pi$
$509$	2.14552	+	2.14552i	0.0950983	+	0.0950983i	−0.657957	+	0.753055i	$0.728579\pi$
$510$	1.45193	−	0.806612i	0.0642926	−	0.0357174i
$511$			34.1047i			1.50870i
$512$	3.34965	−	22.3781i	0.148035	−	0.988982i
$513$	3.03593			0.134040
$514$	−14.1576	−	25.4842i	−0.624464	−	1.12406i
$515$	−39.9651	+	39.9651i	−1.76107	+	1.76107i
$516$	0.781070	+	0.486018i	0.0343847	+	0.0213958i
$517$	1.65781	+	1.65781i	0.0729105	+	0.0729105i
$518$	−17.5199	−	5.00584i	−0.769779	−	0.219944i
$519$	−2.40316			−0.105487
$520$	36.4779	+	1.80812i	1.59966	+	0.0792914i
$521$	−3.80786			−0.166825			−0.0834126	−	0.996515i	$-0.526582\pi$
$521$	−3.80786			−0.166825			−0.0834126	+	0.996515i	$0.526582\pi$
$522$	−11.4388	+	40.0346i	−0.500664	+	1.75227i
$523$	9.94726	+	9.94726i	0.434963	+	0.434963i	0.890313	−	0.455350i	$-0.150486\pi$
$523$	9.94726	+	9.94726i	0.434963	+	0.434963i	−0.455350	+	0.890313i	$0.650486\pi$
$524$	2.68820	+	11.5444i	0.117435	+	0.504318i
$525$	−3.31276	+	3.31276i	−0.144581	+	0.144581i
$526$	−27.4011	+	15.2225i	−1.19474	+	0.663732i
$527$		−	18.0218i		−	0.785040i
$528$	0.358005	+	0.727037i	0.0155802	+	0.0316402i
$529$	13.8381			0.601658
$530$	−50.0336	+	27.7959i	−2.17332	+	1.20738i
$531$	11.9958	−	11.9958i	0.520574	−	0.520574i
$532$	46.7025	−	10.8751i	2.02481	−	0.471493i
$533$	19.9069	+	7.73463i	0.862263	+	0.335024i
$534$	−0.937257	−	0.267797i	−0.0405591	−	0.0115887i
$535$		−	27.3702i		−	1.18332i
$536$	−24.6758	+	22.3451i	−1.06583	+	0.965160i
$537$		−	1.59843i		−	0.0689771i
$538$	−2.30685	+	8.07370i	−0.0994553	+	0.348082i
$539$	21.8523	−	21.8523i	0.941245	−	0.941245i
$540$	2.43995	−	3.92120i	0.104999	−	0.168742i
$541$	5.91231	−	5.91231i	0.254190	−	0.254190i	−0.568496	−	0.822686i	$-0.692474\pi$
$541$	5.91231	−	5.91231i	0.254190	−	0.254190i	0.822686	+	0.568496i	$0.192474\pi$
$542$	−21.0125	+	11.6734i	−0.902564	+	0.501414i
$543$	2.25257			0.0966671
$544$	−9.81835	+	14.1639i	−0.420958	+	0.607273i
$545$		−	16.1943i		−	0.693689i
$546$	−1.07444	−	1.93403i	−0.0459817	−	0.0827688i
$547$	20.8151	+	20.8151i	0.889988	+	0.889988i	0.994521	−	0.104534i	$-0.0333349\pi$
$547$	20.8151	+	20.8151i	0.889988	+	0.889988i	−0.104534	+	0.994521i	$0.533335\pi$
$548$	2.49507	−	4.00978i	0.106584	−	0.171289i
$549$	−0.298160	−	0.298160i	−0.0127251	−	0.0127251i
$550$	−27.6348	−	7.89592i	−1.17835	−	0.336683i
$551$		−	50.1173i		−	2.13507i
$552$	0.572214	+	0.631899i	0.0243551	+	0.0268954i
$553$		−	9.31053i		−	0.395924i
$554$	8.41839	+	2.40533i	0.357663	+	0.102193i
$555$	0.745591	−	0.745591i	0.0316486	−	0.0316486i
$556$	25.4481	−	5.92581i	1.07924	−	0.251310i
$557$	16.9512	+	16.9512i	0.718246	+	0.718246i	0.968246	−	0.250000i	$-0.0804306\pi$
$557$	16.9512	+	16.9512i	0.718246	+	0.718246i	−0.250000	+	0.968246i	$0.580431\pi$
$558$	−12.1476	−	21.8661i	−0.514249	−	0.925667i
$559$		−	15.4071i		−	0.651653i
$560$	23.4882	−	69.0610i	0.992558	−	2.91836i
$561$		−	0.617242i		−	0.0260600i
$562$	33.2981	−	18.4986i	1.40459	−	0.780314i
$563$	−13.0918	−	13.0918i	−0.551754	−	0.551754i	0.375193	−	0.926947i	$-0.377576\pi$
$563$	−13.0918	−	13.0918i	−0.551754	−	0.551754i	−0.926947	+	0.375193i	$0.877576\pi$
$564$	−0.0520430	−	0.223497i	−0.00219141	−	0.00941090i
$565$	3.53396	+	3.53396i	0.148675	+	0.148675i
$566$	18.5480	+	5.29960i	0.779630	+	0.222759i
$567$	41.9745			1.76276
$568$	1.15952	−	23.3927i	0.0486524	−	0.981538i
$569$			44.9782i			1.88558i	0.333382	+	0.942792i	$0.391810\pi$
$569$			44.9782i			1.88558i	−0.333382	+	0.942792i	$0.608190\pi$
$570$	−0.762351	+	2.66814i	−0.0319314	+	0.111756i
$571$	20.5410	−	20.5410i	0.859616	−	0.859616i	−0.131677	−	0.991293i	$-0.542036\pi$
$571$	20.5410	−	20.5410i	0.859616	−	0.859616i	0.991293	+	0.131677i	$0.0420360\pi$
$572$	7.17065	−	11.5238i	0.299820	−	0.481835i
$573$	−0.0738841	+	0.0738841i	−0.00308655	+	0.00308655i
$574$	25.7769	−	33.9856i	1.07591	−	1.41853i
$575$	−30.2331			−1.26081
$576$	−2.36557	+	23.8034i	−0.0985653	+	0.991809i
$577$		−	11.0139i		−	0.458514i	−0.973366	−	0.229257i	$-0.926370\pi$
$577$		−	11.0139i		−	0.458514i	0.973366	−	0.229257i	$-0.0736296\pi$
$578$	−9.54167	+	5.30082i	−0.396881	+	0.220485i
$579$	1.26201	−	1.26201i	0.0524475	−	0.0524475i
$580$	−64.7315	−	40.2789i	−2.68783	−	1.67249i
$581$	30.6610	−	30.6610i	1.27203	−	1.27203i
$582$	0.462779	−	1.61967i	0.0191828	−	0.0671376i
$583$			21.2702i			0.880921i
$584$	20.4532	+	1.01381i	0.846359	+	0.0419519i
$585$	−38.6102			−1.59633
$586$	6.18850	−	21.6590i	0.255645	−	0.894727i
$587$	5.02520	−	5.02520i	0.207412	−	0.207412i	−0.595754	−	0.803167i	$-0.703147\pi$
$587$	5.02520	−	5.02520i	0.207412	−	0.207412i	0.803167	+	0.595754i	$0.203147\pi$
$588$	−2.94600	+	0.685999i	−0.121491	+	0.0282901i
$589$	21.2901	+	21.2901i	0.877242	+	0.877242i
$590$	15.0856	+	27.1546i	0.621064	+	1.11794i
$591$		−	1.60215i		−	0.0659038i
$592$	−3.52289	+	10.3582i	−0.144790	+	0.425718i
$593$		−	2.57910i		−	0.105911i	−0.998597	−	0.0529554i	$-0.983136\pi$
$593$		−	2.57910i		−	0.105911i	0.998597	−	0.0529554i	$-0.0168641\pi$
$594$	−0.833486	−	1.50031i	−0.0341984	−	0.0615583i
$595$	−39.2864	+	39.2864i	−1.61058	+	1.61058i
$596$	−5.12215	−	21.9969i	−0.209812	−	0.901027i
$597$	1.04200	+	1.04200i	0.0426462	+	0.0426462i
$598$	3.92242	−	13.7280i	0.160400	−	0.561381i
$599$		−	5.56070i		−	0.227204i	−0.993526	−	0.113602i	$-0.963761\pi$
$599$		−	5.56070i		−	0.227204i	0.993526	−	0.113602i	$-0.0362389\pi$
$600$	1.88824	+	2.08519i	0.0770871	+	0.0851277i
$601$	−24.1286			−0.984225			−0.492113	−	0.870531i	$-0.663775\pi$
$601$	−24.1286			−0.984225			−0.492113	+	0.870531i	$0.663775\pi$
$602$	−29.5883	−	8.45407i	−1.20593	−	0.344562i
$603$	24.8847	−	24.8847i	1.01338	−	1.01338i
$604$	−8.16692	+	13.1249i	−0.332307	+	0.534044i
$605$	18.7800	−	18.7800i	0.763514	−	0.763514i
$606$	−0.498168	+	0.276754i	−0.0202367	+	0.0112424i
$607$	−37.6187			−1.52690			−0.763449	−	0.645868i	$-0.776495\pi$
$607$	−37.6187			−1.52690			−0.763449	+	0.645868i	$0.776495\pi$
$608$	−5.13366	−	28.3315i	−0.208197	−	1.14900i
$609$			4.61840i			0.187147i
$610$	0.674937	−	0.374957i	0.0273274	−	0.0151816i
$611$	−2.71760	+	2.71760i	−0.109942	+	0.109942i
$612$	9.62550	−	15.4690i	0.389088	−	0.625295i
$613$	−8.46807	−	8.46807i	−0.342022	−	0.342022i	0.515105	−	0.857127i	$-0.327753\pi$
$613$	−8.46807	−	8.46807i	−0.342022	−	0.342022i	−0.857127	+	0.515105i	$0.827753\pi$
$614$	2.95272	−	10.3342i	0.119162	−	0.417053i
$615$	0.994805	+	2.25907i	0.0401144	+	0.0910943i
$616$	−18.1960	−	20.0939i	−0.733138	−	0.809608i
$617$		−	17.5235i		−	0.705468i	−0.935724	−	0.352734i	$-0.885252\pi$
$617$		−	17.5235i		−	0.705468i	0.935724	−	0.352734i	$-0.114748\pi$
$618$	0.564792	−	1.97671i	0.0227193	−	0.0795148i
$619$	19.2717	+	19.2717i	0.774597	+	0.774597i	0.978906	−	0.204310i	$-0.0654949\pi$
$619$	19.2717	+	19.2717i	0.774597	+	0.774597i	−0.204310	+	0.978906i	$0.565495\pi$
$620$	44.6089	−	10.3875i	1.79154	−	0.417174i
$621$	−1.27661	−	1.27661i	−0.0512286	−	0.0512286i
$622$	7.59220	−	4.21780i	0.304419	−	0.169118i
$623$	32.6063			1.30635
$624$	−1.19181	+	0.586867i	−0.0477106	+	0.0234935i
$625$	−24.8243			−0.992971
$626$	30.9190	−	17.1769i	1.23577	−	0.686526i
$627$	0.729182	+	0.729182i	0.0291207	+	0.0291207i
$628$	4.45753	−	1.03797i	0.177875	−	0.0414196i
$629$	5.89239	−	5.89239i	0.234945	−	0.234945i
$630$	−21.1858	+	74.1479i	−0.844063	+	2.95412i
$631$			10.2915i			0.409697i	0.978794	+	0.204849i	$0.0656702\pi$
$631$			10.2915i			0.409697i	−0.978794	+	0.204849i	$0.934330\pi$
$632$	−5.58369	−	0.276770i	−0.222107	−	0.0110093i
$633$			2.09860i			0.0834120i
$634$	29.5901	+	8.45459i	1.17517	+	0.335774i
$635$	38.3892	+	38.3892i	1.52343	+	1.52343i
$636$	1.09990	−	1.76762i	0.0436138	−	0.0700908i
$637$	35.8218	+	35.8218i	1.41931	+	1.41931i
$638$	−24.7672	+	13.7593i	−0.980541	+	0.544734i
$639$			24.7601i			0.979495i
$640$	−40.7188	−	16.1392i	−1.60955	−	0.637959i
$641$			43.2079i			1.70661i	0.521412	+	0.853305i	$0.325405\pi$
$641$			43.2079i			1.70661i	−0.521412	+	0.853305i	$0.674595\pi$
$642$	0.483477	+	0.870276i	0.0190813	+	0.0343471i
$643$	−26.4101	−	26.4101i	−1.04151	−	1.04151i	−0.999100	−	0.0424136i	$-0.986495\pi$
$643$	−26.4101	−	26.4101i	−1.04151	−	1.04151i	−0.0424136	−	0.999100i	$-0.513505\pi$
$644$	−24.2114	−	15.0654i	−0.954062	−	0.593662i
$645$	1.25918	−	1.25918i	0.0495803	−	0.0495803i
$646$	−6.02485	+	21.0863i	−0.237045	+	0.829628i
$647$			13.0376i			0.512563i	0.966602	+	0.256281i	$0.0824974\pi$
$647$			13.0376i			0.512563i	−0.966602	+	0.256281i	$0.917503\pi$
$648$	1.24776	−	25.1728i	0.0490165	−	0.988882i
$649$	11.5439			0.453138
$650$	12.9435	−	45.3009i	0.507687	−	1.77685i
$651$	−1.96192	−	1.96192i	−0.0768936	−	0.0768936i
$652$	10.0461	+	43.1424i	0.393434	+	1.68959i
$653$	−8.30935	−	8.30935i	−0.325170	−	0.325170i	0.525576	−	0.850746i	$-0.323850\pi$
$653$	−8.30935	−	8.30935i	−0.325170	−	0.325170i	−0.850746	+	0.525576i	$0.823850\pi$
$654$	0.286062	+	0.514923i	0.0111859	+	0.0201351i
$655$	22.9447			0.896523
$656$	−19.6155	−	16.4691i	−0.765857	−	0.643011i
$657$	−21.6487			−0.844597
$658$	3.72777	+	6.71013i	0.145324	+	0.261588i
$659$	5.90237	+	5.90237i	0.229924	+	0.229924i	0.812661	−	0.582737i	$-0.198018\pi$
$659$	5.90237	+	5.90237i	0.229924	+	0.229924i	−0.582737	+	0.812661i	$0.698018\pi$
$660$	1.52785	−	0.355772i	0.0594714	−	0.0138484i
$661$	−10.2830	−	10.2830i	−0.399963	−	0.399963i	0.478257	−	0.878220i	$-0.341269\pi$
$661$	−10.2830	−	10.2830i	−0.399963	−	0.399963i	−0.878220	+	0.478257i	$0.841269\pi$
$662$	7.92859	−	27.7491i	0.308153	−	1.07850i
$663$	1.01183			0.0392961
$664$	−17.4765	−	19.2994i	−0.678220	−	0.748962i
$665$		−	92.8222i		−	3.59949i
$666$	3.17757	−	11.1211i	0.123128	−	0.430935i
$667$	−21.0744	+	21.0744i	−0.816003	+	0.816003i
$668$	−3.21978	+	5.17445i	−0.124577	+	0.200205i
$669$	−0.790415	−	0.790415i	−0.0305592	−	0.0305592i
$670$	31.2942	+	56.3308i	1.20900	+	2.17625i
$671$		−	0.286928i		−	0.0110767i
$672$	0.473075	+	2.61080i	0.0182493	+	0.100714i
$673$		−	9.22415i		−	0.355565i	−0.984070	−	0.177782i	$-0.943108\pi$
$673$		−	9.22415i		−	0.355565i	0.984070	−	0.177782i	$-0.0568923\pi$
$674$	38.9131	−	21.6179i	1.49888	−	0.832692i
$675$	−4.21266	−	4.21266i	−0.162146	−	0.162146i
$676$	−3.18461	−	1.98161i	−0.122485	−	0.0762159i
$677$	−2.33313	−	2.33313i	−0.0896695	−	0.0896695i	0.660849	−	0.750519i	$-0.270196\pi$
$677$	−2.33313	−	2.33313i	−0.0896695	−	0.0896695i	−0.750519	+	0.660849i	$0.770196\pi$
$678$	−0.174793	−	0.0499424i	−0.00671287	−	0.00191803i
$679$			56.3469i			2.16240i
$680$	22.3929	+	24.7286i	0.858727	+	0.948297i
$681$			2.09112i			0.0801320i
$682$	4.67621	−	16.3662i	0.179061	−	0.626694i
$683$	−27.3312	+	27.3312i	−1.04580	+	1.04580i	−0.0469005	+	0.998900i	$0.514934\pi$
$683$	−27.3312	+	27.3312i	−1.04580	+	1.04580i	−0.998900	+	0.0469005i	$0.985066\pi$
$684$	6.90318	+	29.6454i	0.263950	+	1.13352i
$685$	−6.46426	−	6.46426i	−0.246987	−	0.246987i
$686$	47.6855	−	26.4914i	1.82064	−	1.01145i
$687$	1.48304			0.0565816
$688$	−5.94961	+	17.4933i	−0.226827	+	0.666925i
$689$	−34.8676			−1.32835
$690$	1.44252	−	0.801386i	0.0549159	−	0.0305082i
$691$	−22.6749	−	22.6749i	−0.862592	−	0.862592i	0.129046	−	0.991639i	$-0.458808\pi$
$691$	−22.6749	−	22.6749i	−0.862592	−	0.862592i	−0.991639	+	0.129046i	$0.958808\pi$
$692$	−10.9468	−	47.0107i	−0.416137	−	1.78708i
$693$	20.2640	+	20.2640i	0.769767	+	0.769767i
$694$	5.41666	−	18.9577i	0.205614	−	0.719624i
$695$		−	50.5788i		−	1.91856i
$696$	2.76973	+	0.137289i	0.104987	+	0.00520393i
$697$	7.86193	+	17.8534i	0.297792	+	0.676244i
$698$	6.16418	−	21.5739i	0.233318	−	0.816585i
$699$	0.822438	+	0.822438i	0.0311074	+	0.0311074i
$700$	−79.8947	−	49.7142i	−3.01974	−	1.87902i
$701$	−9.76487	+	9.76487i	−0.368814	+	0.368814i	−0.867045	−	0.498231i	$-0.833983\pi$
$701$	−9.76487	+	9.76487i	−0.368814	+	0.368814i	0.498231	+	0.867045i	$0.333983\pi$
$702$	2.45941	−	1.36631i	0.0928243	−	0.0515680i
$703$			13.9220i			0.525078i
$704$	−12.5916	+	10.3151i	−0.474563	+	0.388766i
$705$	−0.444204			−0.0167297
$706$	3.84649	−	2.13690i	0.144765	−	0.0804231i
$707$	13.4794	−	13.4794i	0.506946	−	0.506946i
$708$	−0.959337	−	0.596944i	−0.0360541	−	0.0224345i
$709$	12.9000	−	12.9000i	0.484469	−	0.484469i	−0.422087	−	0.906555i	$-0.638702\pi$
$709$	12.9000	−	12.9000i	0.484469	−	0.484469i	0.906555	+	0.422087i	$0.138702\pi$
$710$	−43.5932	−	12.4556i	−1.63602	−	0.467451i
$711$	5.91007			0.221645
$712$	0.969273	−	19.5546i	0.0363250	−	0.732839i
$713$		−	17.9050i		−	0.670546i
$714$	0.555201	−	1.94314i	0.0207779	−	0.0727201i
$715$	−18.5778	−	18.5778i	−0.694771	−	0.694771i
$716$	31.2685	−	7.28114i	1.16856	−	0.272109i
$717$	0.0492579	−	0.0492579i	0.00183957	−	0.00183957i
$718$	−0.145748	−	0.262351i	−0.00543925	−	0.00979085i
$719$		−	22.3200i		−	0.832396i	−0.909274	−	0.416198i	$-0.863362\pi$
$719$		−	22.3200i		−	0.832396i	0.909274	−	0.416198i	$-0.136638\pi$
$720$	43.8380	+	14.9097i	1.63375	+	0.555650i
$721$			68.7679i			2.56105i
$722$	−4.74382	−	8.53905i	−0.176547	−	0.317791i
$723$	−0.175148	−	0.175148i	−0.00651381	−	0.00651381i
$724$	10.2609	+	44.0650i	0.381344	+	1.63766i
$725$	−69.5430	+	69.5430i	−2.58276	+	2.58276i
$726$	−0.265401	+	0.928873i	−0.00984996	+	0.0344737i
$727$	20.4359			0.757925			0.378963	−	0.925412i	$-0.376281\pi$
$727$	20.4359			0.757925			0.378963	+	0.925412i	$0.376281\pi$
$728$	32.9394	−	29.8281i	1.22081	−	1.10550i
$729$			26.4661i			0.980224i
$730$	10.8904	−	38.1152i	0.403073	−	1.41071i
$731$	9.95131	−	9.95131i	0.368063	−	0.368063i
$732$	−0.0148372	+	0.0238446i	−0.000548400	+	0.000881323i
$733$	−13.3183	+	13.3183i	−0.491924	+	0.491924i	−0.908912	−	0.416988i	$-0.863086\pi$
$733$	−13.3183	+	13.3183i	−0.491924	+	0.491924i	0.416988	+	0.908912i	$0.363086\pi$
$734$	7.26185	−	4.03428i	0.268040	−	0.148908i
$735$			5.85523i			0.215973i
$736$	−9.75473	+	14.0721i	−0.359564	+	0.518706i
$737$	23.9472			0.882107
$738$	21.5731	+	16.3625i	0.794118	+	0.602311i
$739$	36.6360	−	36.6360i	1.34768	−	1.34768i	0.459495	−	0.888180i	$-0.348030\pi$
$739$	36.6360	−	36.6360i	1.34768	−	1.34768i	0.888180	−	0.459495i	$-0.151970\pi$
$740$	17.9816	+	11.1890i	0.661018	+	0.411316i
$741$	−1.19532	+	1.19532i	−0.0439114	+	0.0439114i
$742$	−19.1322	+	66.9605i	−0.702366	+	2.45820i
$743$		−	0.858457i		−	0.0314937i	−0.999876	−	0.0157469i	$-0.994987\pi$
$743$		−	0.858457i		−	0.0314937i	0.999876	−	0.0157469i	$-0.00501259\pi$
$744$	−1.23492	+	1.11827i	−0.0452742	+	0.0409979i
$745$	−43.7193			−1.60175
$746$	−9.70040	−	2.77163i	−0.355157	−	0.101477i
$747$	19.4628	+	19.4628i	0.712105	+	0.712105i
$748$	12.0746	−	2.81166i	0.441489	−	0.102804i
$749$	−23.5479	−	23.5479i	−0.860422	−	0.860422i
$750$	2.37729	−	1.32069i	0.0868062	−	0.0482247i
$751$		−	49.1830i		−	1.79471i	−0.441307	−	0.897356i	$-0.645485\pi$
$751$		−	49.1830i		−	1.79471i	0.441307	−	0.897356i	$-0.354515\pi$
$752$	4.13499	−	2.03614i	0.150788	−	0.0742504i
$753$		−	1.95183i		−	0.0711287i
$754$	−22.5551	−	40.6000i	−0.821409	−	1.47857i
$755$	21.1590	+	21.1590i	0.770054	+	0.770054i
$756$	−1.27439	−	5.47282i	−0.0463491	−	0.199044i
$757$	8.07533	−	8.07533i	0.293503	−	0.293503i	−0.544960	−	0.838462i	$-0.683455\pi$
$757$	8.07533	−	8.07533i	0.293503	−	0.293503i	0.838462	+	0.544960i	$0.183455\pi$
$758$	−20.7247	−	5.92152i	−0.752753	−	0.215079i
$759$		−	0.613243i		−	0.0222593i
$760$	−55.6671	−	2.75928i	−2.01926	−	0.100090i
$761$			46.3426i			1.67992i	0.542650	+	0.839959i	$0.317421\pi$
$761$			46.3426i			1.67992i	−0.542650	+	0.839959i	$0.682579\pi$
$762$	−1.89876	−	0.542522i	−0.0687850	−	0.0196535i
$763$	−13.9328	−	13.9328i	−0.504401	−	0.504401i
$764$	−1.78189	−	1.10877i	−0.0644664	−	0.0401140i
$765$	−24.9379	−	24.9379i	−0.901632	−	0.901632i
$766$	1.93233	+	3.47826i	0.0698178	+	0.125675i
$767$			18.9236i			0.683291i
$768$	1.57981	−	0.206101i	0.0570063	−	0.00743704i
$769$	−52.2460			−1.88404			−0.942019	−	0.335559i	$-0.891075\pi$
$769$	−52.2460			−1.88404			−0.942019	+	0.335559i	$0.891075\pi$
$770$	−45.8712	+	25.4835i	−1.65308	+	0.918361i
$771$	1.45143	−	1.45143i	0.0522721	−	0.0522721i
$772$	30.4363	+	18.9389i	1.09543	+	0.681626i
$773$	−3.92641	+	3.92641i	−0.141223	+	0.141223i	−0.774184	−	0.632961i	$-0.781839\pi$
$773$	−3.92641	+	3.92641i	−0.141223	+	0.141223i	0.632961	+	0.774184i	$0.281839\pi$
$774$	5.36641	−	18.7818i	0.192892	−	0.675098i
$775$		−	59.0843i		−	2.12237i
$776$	33.7922	+	1.67500i	1.21307	+	0.0601289i
$777$		−	1.28294i		−	0.0460251i
$778$	16.4694	+	4.70571i	0.590458	+	0.168708i
$779$	−30.3789	−	11.8034i	−1.08844	−	0.422901i
$780$	0.583206	+	2.50455i	0.0208821	+	0.0896774i
$781$	−11.9137	+	11.9137i	−0.426305	+	0.426305i
$782$	11.4002	−	6.33334i	0.407672	−	0.226480i
$783$	−5.87299			−0.209883
$784$	−26.8392	−	54.5050i	−0.958542	−	1.94661i
$785$		−	8.85945i		−	0.316207i
$786$	−0.729560	+	0.405303i	−0.0260226	+	0.0144567i
$787$	21.9067	−	21.9067i	0.780889	−	0.780889i	−0.199092	−	0.979981i	$-0.563799\pi$
$787$	21.9067	−	21.9067i	0.780889	−	0.780889i	0.979981	+	0.199092i	$0.0637991\pi$
$788$	31.3415	−	7.29813i	1.11649	−	0.259985i
$789$	−1.56061	−	1.56061i	−0.0555591	−	0.0555591i
$790$	−2.97307	+	10.4054i	−0.105777	+	0.370207i
$791$	6.08088			0.216211
$792$	12.7551	−	11.5503i	0.453232	−	0.410423i
$793$	0.470352			0.0167027
$794$	9.24990	+	2.64292i	0.328267	+	0.0937936i
$795$	−2.84963	−	2.84963i	−0.101066	−	0.101066i
$796$	−15.6372	+	25.1302i	−0.554245	+	0.890716i
$797$	−8.01917	+	8.01917i	−0.284053	+	0.284053i	−0.834723	−	0.550670i	$-0.814372\pi$
$797$	−8.01917	+	8.01917i	−0.284053	+	0.284053i	0.550670	+	0.834723i	$0.314372\pi$
$798$	1.63964	+	2.95142i	0.0580428	+	0.104479i
$799$	−3.51054			−0.124194
$800$	−32.1895	+	46.4364i	−1.13807	+	1.64177i
$801$			20.6976i			0.731314i
$802$	−13.5731	+	7.54048i	−0.479284	+	0.266264i
$803$	−10.4166	−	10.4166i	−0.367594	−	0.367594i
$804$	−1.99009	−	1.23833i	−0.0701852	−	0.0436725i
$805$	−39.0318	+	39.0318i	−1.37569	+	1.37569i
$806$	26.8286	+	7.66556i	0.944997	+	0.270008i
$807$	−0.591217			−0.0208118
$808$	−7.68315	−	8.48454i	−0.270292	−	0.298485i
$809$	32.4257			1.14003			0.570014	−	0.821635i	$-0.306938\pi$
$809$	32.4257			1.14003			0.570014	+	0.821635i	$0.306938\pi$
$810$	−46.9104	−	13.4034i	−1.64827	−	0.470948i
$811$	14.7225	+	14.7225i	0.516976	+	0.516976i	0.916655	−	0.399679i	$-0.130878\pi$
$811$	14.7225	+	14.7225i	0.516976	+	0.516976i	−0.399679	+	0.916655i	$0.630878\pi$
$812$	−90.3456	+	21.0377i	−3.17051	+	0.738279i
$813$	−1.19675	−	1.19675i	−0.0419719	−	0.0419719i
$814$	6.88002	−	3.82216i	0.241145	−	0.133966i
$815$	85.7465			3.00357
$816$	−1.14883	−	0.390726i	−0.0402171	−	0.0136781i
$817$			23.5120i			0.822582i
$818$	14.1782	+	25.5213i	0.495729	+	0.892331i
$819$	−33.2182	+	33.2182i	−1.16074	+	1.16074i
$820$	−39.6605	+	29.7510i	−1.38501	+	1.03895i
$821$	19.3097	+	19.3097i	0.673913	+	0.673913i	0.958616	−	0.284702i	$-0.0918948\pi$
$821$	19.3097	+	19.3097i	0.673913	+	0.673913i	−0.284702	+	0.958616i	$0.591895\pi$
$822$	0.319728	+	0.0913539i	0.0111518	+	0.00318633i
$823$	−1.28660			−0.0448480			−0.0224240	−	0.999749i	$-0.507138\pi$
$823$	−1.28660			−0.0448480			−0.0224240	+	0.999749i	$0.507138\pi$
$824$	41.2413	+	2.04423i	1.43671	+	0.0712141i
$825$		−	2.02363i		−	0.0704537i
$826$	36.3413	+	10.3836i	1.26448	+	0.361291i
$827$	−12.8129	+	12.8129i	−0.445547	+	0.445547i	−0.893871	−	0.448324i	$-0.852021\pi$
$827$	−12.8129	+	12.8129i	−0.445547	+	0.445547i	0.448324	+	0.893871i	$0.352021\pi$
$828$	9.56313	−	15.3687i	0.332342	−	0.534100i
$829$	17.6124	−	17.6124i	0.611706	−	0.611706i	−0.331685	−	0.943390i	$-0.607617\pi$
$829$	17.6124	−	17.6124i	0.611706	−	0.611706i	0.943390	+	0.331685i	$0.107617\pi$
$830$	−44.0574	+	24.4758i	−1.52925	+	0.849568i
$831$			0.616458i			0.0213847i
$832$	−16.9093	−	20.6410i	−0.586224	−	0.715598i
$833$			46.2738i			1.60329i
$834$	0.893441	+	1.60823i	0.0309373	+	0.0556884i
$835$	8.34186	+	8.34186i	0.288682	+	0.288682i
$836$	−10.9428	+	17.5859i	−0.378463	+	0.608221i
$837$	2.49487	−	2.49487i	0.0862353	−	0.0862353i
$838$	−10.6231	+	37.1795i	−0.366967	+	1.28434i
$839$	−22.8823			−0.789984			−0.394992	−	0.918685i	$-0.629253\pi$
$839$	−22.8823			−0.789984			−0.394992	+	0.918685i	$0.629253\pi$
$840$	5.12982	+	0.254273i	0.176996	+	0.00877324i
$841$			67.9517i			2.34316i
$842$	−0.382449	+	1.33853i	−0.0131800	+	0.0461286i
$843$	1.89647	+	1.89647i	0.0653179	+	0.0653179i
$844$	−41.0531	+	9.55955i	−1.41311	+	0.329053i
$845$	−5.13399	+	5.13399i	−0.176615	+	0.176615i
$846$	−4.25940	+	2.36629i	−0.146441	+	0.0813546i
$847$		−	32.3147i		−	1.11035i
$848$	39.5887	+	13.4644i	1.35948	+	0.462370i
$849$			1.35822i			0.0466141i
$850$	37.6195	−	20.8993i	1.29034	−	0.716839i
$851$	5.85421	−	5.85421i	0.200680	−	0.200680i
$852$	1.60613	−	0.374001i	0.0550252	−	0.0128131i
$853$	10.4176	+	10.4176i	0.356693	+	0.356693i	0.862592	−	0.505900i	$-0.168839\pi$
$853$	10.4176	+	10.4176i	0.356693	+	0.356693i	−0.505900	+	0.862592i	$0.668839\pi$
$854$	0.258087	−	0.903275i	0.00883156	−	0.0309094i
$855$	58.9209			2.01505
$856$	−14.8221	+	13.4221i	−0.506609	+	0.458758i
$857$			41.0643i			1.40273i	0.712803	+	0.701365i	$0.247426\pi$
$857$			41.0643i			1.40273i	−0.712803	+	0.701365i	$0.752574\pi$
$858$	0.918875	+	0.262544i	0.0313699	+	0.00896312i
$859$	−16.5694	−	16.5694i	−0.565342	−	0.565342i	0.365478	−	0.930820i	$-0.380906\pi$
$859$	−16.5694	−	16.5694i	−0.565342	−	0.565342i	−0.930820	+	0.365478i	$0.880906\pi$
$860$	30.3681	+	18.8964i	1.03554	+	0.644363i
$861$	2.79947	+	1.08771i	0.0954055	+	0.0370689i
$862$	41.8257	−	23.2360i	1.42459	−	0.791422i
$863$	−19.3794			−0.659682			−0.329841	−	0.944037i	$-0.606995\pi$
$863$	−19.3794			−0.659682			−0.329841	+	0.944037i	$0.606995\pi$
$864$	−3.32002	+	0.601586i	−0.112950	+	0.0204664i
$865$	−93.4349			−3.17688
$866$	−0.419939	+	0.233294i	−0.0142701	+	0.00792767i
$867$	−0.543439	−	0.543439i	−0.0184562	−	0.0184562i
$868$	29.4423	−	47.3161i	0.999336	−	1.60601i
$869$	2.84371	+	2.84371i	0.0964664	+	0.0964664i
$870$	1.47476	−	5.16150i	0.0499991	−	0.174991i
$871$			39.2559i			1.33014i
$872$	−8.76990	+	7.94156i	−0.296986	+	0.268935i
$873$	−35.7675			−1.21055
$874$	−5.98581	+	20.9496i	−0.202473	+	0.708632i
$875$	−64.3246	+	64.3246i	−2.17457	+	2.17457i
$876$	0.327004	+	1.40430i	0.0110484	+	0.0474470i
$877$	33.5501	−	33.5501i	1.13291	−	1.13291i	0.143216	−	0.989691i	$-0.454256\pi$
$877$	33.5501	−	33.5501i	1.13291	−	1.13291i	0.989691	−	0.143216i	$-0.0457445\pi$
$878$	22.5117	−	12.5062i	0.759732	−	0.422064i
$879$	1.58604			0.0534957
$880$	13.9193	+	28.2673i	0.469219	+	0.952890i
$881$	−8.01509			−0.270035			−0.135018	−	0.990843i	$-0.543109\pi$
$881$	−8.01509			−0.270035			−0.135018	+	0.990843i	$0.543109\pi$
$882$	31.1910	+	56.1449i	1.05025	+	1.89050i
$883$	28.3495	+	28.3495i	0.954036	+	0.954036i	0.998989	−	0.0449536i	$-0.0143140\pi$
$883$	28.3495	+	28.3495i	0.954036	+	0.954036i	−0.0449536	+	0.998989i	$0.514314\pi$
$884$	4.60907	+	19.7934i	0.155020	+	0.665726i
$885$	−1.54657	+	1.54657i	−0.0519875	+	0.0519875i
$886$	18.1009	+	5.17185i	0.608111	+	0.173752i
$887$	35.1332			1.17966			0.589828	−	0.807529i	$-0.299195\pi$
$887$	35.1332			1.17966			0.589828	+	0.807529i	$0.299195\pi$
$888$	−0.769399	−	0.0381372i	−0.0258193	−	0.00127980i
$889$	66.0563			2.21546
$890$	−36.4407	−	10.4120i	−1.22149	−	0.349010i
$891$	−12.8203	+	12.8203i	−0.429495	+	0.429495i
$892$	11.8617	−	19.0627i	0.397159	−	0.638266i
$893$	4.14719	−	4.14719i	0.138780	−	0.138780i
$894$	1.39012	−	0.772273i	0.0464925	−	0.0258287i
$895$		−	62.1469i		−	2.07734i
$896$	−48.9178	+	21.1471i	−1.63423	+	0.706474i
$897$	1.00527			0.0335650
$898$	29.4845	−	16.3799i	0.983911	−	0.546606i
$899$	−41.1855	−	41.1855i	−1.37361	−	1.37361i
$900$	31.5572	−	50.7149i	1.05191	−	1.69050i
$901$	−22.5206	−	22.5206i	−0.750270	−	0.750270i
$902$	2.50718	+	18.2533i	0.0834801	+	0.607767i
$903$		−	2.16668i		−	0.0721025i
$904$	0.180763	−	3.64681i	0.00601210	−	0.121291i
$905$	87.5802			2.91127
$906$	−1.04654	−	0.299022i	−0.0347690	−	0.00993433i
$907$	−6.18630	−	6.18630i	−0.205413	−	0.205413i	0.596902	−	0.802314i	$-0.296398\pi$
$907$	−6.18630	−	6.18630i	−0.205413	−	0.205413i	−0.802314	+	0.596902i	$0.796398\pi$
$908$	−40.9067	+	9.52547i	−1.35754	+	0.316114i
$909$	8.55637	+	8.55637i	0.283797	+	0.283797i
$910$	−41.7743	−	75.1952i	−1.38480	−	2.49270i
$911$	−40.2462			−1.33341			−0.666707	−	0.745320i	$-0.732297\pi$
$911$	−40.2462			−1.33341			−0.666707	+	0.745320i	$0.732297\pi$
$912$	1.81876	−	0.895587i	0.0602251	−	0.0296559i
$913$			18.7296i			0.619859i
$914$	−15.9779	+	8.87645i	−0.528503	+	0.293607i
$915$	0.0384406	+	0.0384406i	0.00127081	+	0.00127081i
$916$	6.75555	+	29.0114i	0.223210	+	0.958565i
$917$	19.7404	−	19.7404i	0.651887	−	0.651887i
$918$	2.47099	+	0.706020i	0.0815548	+	0.0233021i
$919$	47.7456			1.57498			0.787492	−	0.616325i	$-0.211379\pi$
$919$	47.7456			1.57498			0.787492	+	0.616325i	$0.211379\pi$
$920$	22.2478	+	24.5683i	0.733487	+	0.809993i
$921$	0.756745			0.0249356
$922$	−12.8940	+	45.1277i	−0.424643	+	1.48620i
$923$	−19.5297	−	19.5297i	−0.642829	−	0.642829i
$924$	1.00839	−	1.62057i	0.0331737	−	0.0533129i
$925$	19.3182	−	19.3182i	0.635179	−	0.635179i
$926$	−22.4685	−	40.4441i	−0.738359	−	1.32907i
$927$	−43.6519			−1.43372
$928$	9.93102	+	54.8072i	0.326002	+	1.79913i
$929$		−	48.8168i		−	1.60163i	−0.598913	−	0.800814i	$-0.704401\pi$
$929$		−	48.8168i		−	1.60163i	0.598913	−	0.800814i	$-0.295599\pi$
$930$	1.56614	+	2.81911i	0.0513558	+	0.0924424i
$931$	−54.6657	−	54.6657i	−1.79160	−	1.79160i
$932$	−12.3422	+	19.8350i	−0.404283	+	0.649716i
$933$	0.432408	+	0.432408i	0.0141564	+	0.0141564i
$934$	10.6553	−	37.2925i	0.348654	−	1.22025i
$935$		−	23.9985i		−	0.784833i
$936$	18.9341	+	20.9090i	0.618880	+	0.683432i
$937$	14.8391			0.484771			0.242386	−	0.970180i	$-0.422070\pi$
$937$	14.8391			0.484771			0.242386	+	0.970180i	$0.422070\pi$
$938$	75.3881	+	21.5402i	2.46151	+	0.703312i
$939$	1.76097	+	1.76097i	0.0574671	+	0.0574671i
$940$	−2.02344	−	8.68957i	−0.0659973	−	0.283422i
$941$	8.72401	−	8.72401i	0.284394	−	0.284394i	−0.550464	−	0.834859i	$-0.685549\pi$
$941$	8.72401	−	8.72401i	0.284394	−	0.284394i	0.834859	+	0.550464i	$0.185549\pi$
$942$	0.156496	+	0.281699i	0.00509893	+	0.00917826i
$943$	7.81099	+	17.7377i	0.254361	+	0.577618i
$944$	7.30751	−	21.4858i	0.237839	−	0.699305i
$945$	−10.8773			−0.353840
$946$	11.6193	−	6.45501i	0.377775	−	0.209871i
$947$	29.1775	−	29.1775i	0.948142	−	0.948142i	−0.0505780	−	0.998720i	$-0.516106\pi$
$947$	29.1775	−	29.1775i	0.948142	−	0.948142i	0.998720	+	0.0505780i	$0.0161064\pi$
$948$	−0.0892715	−	0.383373i	−0.00289940	−	0.0124514i
$949$	17.0756	−	17.0756i	0.554297	−	0.554297i
$950$	−19.7525	+	69.1313i	−0.640855	+	2.24292i
$951$			2.16681i			0.0702636i
$952$	40.5409	+	2.00951i	1.31394	+	0.0651287i
$953$		−	49.5713i		−	1.60577i	−0.596134	−	0.802885i	$-0.703297\pi$
$953$		−	49.5713i		−	1.60577i	0.596134	−	0.802885i	$-0.296703\pi$
$954$	−42.5047	−	12.1446i	−1.37614	−	0.393196i
$955$	−2.87262	+	2.87262i	−0.0929559	+	0.0929559i
$956$	1.18797	+	0.739208i	0.0384216	+	0.0239077i
$957$	−1.41060	−	1.41060i	−0.0455981	−	0.0455981i
$958$	6.23606	+	11.2251i	0.201478	+	0.362668i
$959$	−11.1230			−0.359182
$960$	0.304983	−	3.06888i	0.00984329	−	0.0990477i
$961$	3.99154			0.128759
$962$	6.26554	+	11.2782i	0.202009	+	0.363624i
$963$	14.9476	−	14.9476i	0.481679	−	0.481679i
$964$	2.62842	−	4.22408i	0.0846558	−	0.136049i
$965$	49.0672	−	49.0672i	1.57953	−	1.57953i
$966$	0.551603	−	1.93055i	0.0177475	−	0.0621143i
$967$	0.508338			0.0163471			0.00817353	−	0.999967i	$-0.497398\pi$
$967$	0.508338			0.0163471			0.00817353	+	0.999967i	$0.497398\pi$
$968$	−19.3797	−	0.960603i	−0.622886	−	0.0308749i
$969$	−1.54410			−0.0496035
$970$	17.9929	−	62.9730i	0.577717	−	2.02194i
$971$	8.49971	−	8.49971i	0.272769	−	0.272769i	−0.557445	−	0.830214i	$-0.688218\pi$
$971$	8.49971	−	8.49971i	0.272769	−	0.272769i	0.830214	+	0.557445i	$0.188218\pi$
$972$	5.21386	−	1.21409i	0.167235	−	0.0389420i
$973$	−43.5154	−	43.5154i	−1.39504	−	1.39504i
$974$	1.54432	+	2.77984i	0.0494833	+	0.0890718i
$975$	3.31727			0.106238
$976$	−0.534038	−	0.181631i	−0.0170941	−	0.00581385i
$977$			59.5087i			1.90385i	0.306326	+	0.951927i	$0.400900\pi$
$977$			59.5087i			1.90385i	−0.306326	+	0.951927i	$0.599100\pi$
$978$	−2.72644	+	1.51466i	−0.0871818	+	0.0484334i
$979$	−9.95895	+	9.95895i	−0.318289	+	0.318289i
$980$	−114.541	+	26.6717i	−3.65887	+	0.851997i
$981$	8.84414	−	8.84414i	0.282372	−	0.282372i
$982$	−5.92005	−	1.69150i	−0.188916	−	0.0539779i
$983$		−	35.7231i		−	1.13939i	−0.821857	−	0.569694i	$-0.807062\pi$
$983$		−	35.7231i		−	1.13939i	0.821857	−	0.569694i	$-0.192938\pi$
$984$	0.735534	−	1.64655i	0.0234480	−	0.0524902i
$985$		−	62.2919i		−	1.98479i
$986$	11.6550	−	40.7913i	0.371172	−	1.29906i
$987$	−0.382171	+	0.382171i	−0.0121646	+	0.0121646i
$988$	−28.8280	−	17.9381i	−0.917141	−	0.570688i
$989$	9.88682	−	9.88682i	0.314383	−	0.314383i
$990$	−16.1762	−	29.1178i	−0.514113	−	0.925423i
$991$		−	13.4834i		−	0.428314i	−0.976799	−	0.214157i	$-0.931300\pi$
$991$		−	13.4834i		−	0.428314i	0.976799	−	0.214157i	$-0.0687003\pi$
$992$	−27.5011	−	19.0636i	−0.873160	−	0.605270i
$993$	2.03200			0.0644836
$994$	−48.2216	+	26.7892i	−1.52950	+	0.849702i
$995$	40.5130	+	40.5130i	1.28435	+	1.28435i
$996$	0.968521	−	1.55649i	0.0306887	−	0.0493193i
$997$	29.3779	−	29.3779i	0.930407	−	0.930407i	−0.0673241	−	0.997731i	$-0.521446\pi$
$997$	29.3779	−	29.3779i	0.930407	−	0.930407i	0.997731	+	0.0673241i	$0.0214462\pi$
$998$	−23.8244	−	6.80719i	−0.754147	−	0.215478i
$999$	1.63145			0.0516167

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	656.2.o.a.245.13	✓	164
16.13	even	4	inner	656.2.o.a.573.14	yes	164
41.40	even	2	inner	656.2.o.a.245.14	yes	164
656.573	even	4	inner	656.2.o.a.573.13	yes	164

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
656.2.o.a.245.13	✓	164	1.1	even	1	trivial
656.2.o.a.245.14	yes	164	41.40	even	2	inner
656.2.o.a.573.13	yes	164	656.573	even	4	inner
656.2.o.a.573.14	yes	164	16.13	even	4	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 656 = 2^{4} \cdot 41 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	656.o (of order \(4\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.23625 + 0.686792i) q^{2} +(-0.0704098 - 0.0704098i) q^{3} +(1.05663 - 1.69809i) q^{4} +(-2.73754 - 2.73754i) q^{5} +(0.135401 + 0.0386873i) q^{6} -4.71049 q^{7} +(-0.140026 + 2.82496i) q^{8} -2.99008i q^{9} +O(q^{10})\)	\(q+(-1.23625 + 0.686792i) q^{2} +(-0.0704098 - 0.0704098i) q^{3} +(1.05663 - 1.69809i) q^{4} +(-2.73754 - 2.73754i) q^{5} +(0.135401 + 0.0386873i) q^{6} -4.71049 q^{7} +(-0.140026 + 2.82496i) q^{8} -2.99008i q^{9} +(5.26441 + 1.50417i) q^{10} +(1.43872 - 1.43872i) q^{11} +(-0.193960 + 0.0451652i) q^{12} +(2.35845 + 2.35845i) q^{13} +(5.82334 - 3.23512i) q^{14} +0.385500i q^{15} +(-1.76705 - 3.58853i) q^{16} +3.04660i q^{17} +(2.05357 + 3.69650i) q^{18} +(-3.59911 - 3.59911i) q^{19} +(-7.54118 + 1.75603i) q^{20} +(0.331665 + 0.331665i) q^{21} +(-0.790519 + 2.76672i) q^{22} +3.02686i q^{23} +(0.208764 - 0.189046i) q^{24} +9.98828i q^{25} +(-4.53541 - 1.29587i) q^{26} +(-0.421761 + 0.421761i) q^{27} +(-4.97726 + 7.99885i) q^{28} +(6.96246 + 6.96246i) q^{29} +(-0.264758 - 0.476575i) q^{30} -5.91537 q^{31} +(4.64909 + 3.22272i) q^{32} -0.202600 q^{33} +(-2.09238 - 3.76636i) q^{34} +(12.8952 + 12.8952i) q^{35} +(-5.07745 - 3.15942i) q^{36} +(-1.93409 - 1.93409i) q^{37} +(6.92125 + 1.97756i) q^{38} -0.332117i q^{39} +(8.11677 - 7.35012i) q^{40} +(5.86009 - 2.58056i) q^{41} +(-0.637805 - 0.182236i) q^{42} +(-3.26637 - 3.26637i) q^{43} +(-0.922885 - 3.96329i) q^{44} +(-8.18548 + 8.18548i) q^{45} +(-2.07882 - 3.74196i) q^{46} +1.15228i q^{47} +(-0.128250 + 0.377085i) q^{48} +15.1887 q^{49} +(-6.85987 - 12.3480i) q^{50} +(0.214511 - 0.214511i) q^{51} +(6.49690 - 1.51286i) q^{52} +(-7.39204 + 7.39204i) q^{53} +(0.231740 - 0.811065i) q^{54} -7.87713 q^{55} +(0.659592 - 13.3069i) q^{56} +0.506826i q^{57} +(-13.3891 - 3.82559i) q^{58} +(4.01186 + 4.01186i) q^{59} +(0.654615 + 0.407332i) q^{60} +(0.0997161 - 0.0997161i) q^{61} +(7.31288 - 4.06263i) q^{62} +14.0848i q^{63} +(-7.96079 - 0.791137i) q^{64} -12.9127i q^{65} +(0.250465 - 0.139144i) q^{66} +(8.32239 + 8.32239i) q^{67} +(5.17342 + 3.21914i) q^{68} +(0.213121 - 0.213121i) q^{69} +(-24.7979 - 7.08536i) q^{70} -8.28074 q^{71} +(8.44687 + 0.418691i) q^{72} -7.24017i q^{73} +(3.71933 + 1.06270i) q^{74} +(0.703273 - 0.703273i) q^{75} +(-9.91458 + 2.30869i) q^{76} +(-6.77708 + 6.77708i) q^{77} +(0.228095 + 0.410579i) q^{78} +1.97655i q^{79} +(-4.98637 + 14.6611i) q^{80} -8.91086 q^{81} +(-5.47224 + 7.21489i) q^{82} +(-6.50910 + 6.50910i) q^{83} +(0.913646 - 0.212750i) q^{84} +(8.34020 - 8.34020i) q^{85} +(6.28136 + 1.79473i) q^{86} -0.980451i q^{87} +(3.86287 + 4.26579i) q^{88} -6.92208 q^{89} +(4.49759 - 15.7410i) q^{90} +(-11.1095 - 11.1095i) q^{91} +(5.13989 + 3.19828i) q^{92} +(0.416500 + 0.416500i) q^{93} +(-0.791378 - 1.42451i) q^{94} +19.7054i q^{95} +(-0.100430 - 0.554253i) q^{96} -11.9620i q^{97} +(-18.7770 + 10.4315i) q^{98} +(-4.30190 - 4.30190i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 164 q - 4 q^{2} - 4 q^{4} - 4 q^{5} - 16 q^{8}+O(q^{10}) \) 164 * q - 4 * q^2 - 4 * q^4 - 4 * q^5 - 16 * q^8	\( 164 q - 4 q^{2} - 4 q^{4} - 4 q^{5} - 16 q^{8} - 16 q^{10} - 4 q^{16} + 4 q^{18} - 4 q^{20} - 16 q^{21} - 32 q^{31} + 16 q^{32} - 8 q^{33} + 40 q^{36} - 4 q^{37} - 44 q^{40} + 52 q^{42} - 36 q^{43} + 28 q^{45} - 16 q^{46} + 132 q^{49} + 16 q^{50} + 8 q^{51} + 20 q^{59} - 4 q^{61} - 48 q^{62} + 68 q^{64} + 76 q^{66} + 20 q^{72} - 56 q^{74} - 32 q^{77} - 8 q^{78} - 100 q^{80} - 140 q^{81} + 44 q^{82} - 4 q^{83} - 40 q^{84} - 12 q^{86} - 8 q^{90} - 80 q^{91} + 112 q^{92} - 136 q^{98}+O(q^{100}) \) 164 * q - 4 * q^2 - 4 * q^4 - 4 * q^5 - 16 * q^8 - 16 * q^10 - 4 * q^16 + 4 * q^18 - 4 * q^20 - 16 * q^21 - 32 * q^31 + 16 * q^32 - 8 * q^33 + 40 * q^36 - 4 * q^37 - 44 * q^40 + 52 * q^42 - 36 * q^43 + 28 * q^45 - 16 * q^46 + 132 * q^49 + 16 * q^50 + 8 * q^51 + 20 * q^59 - 4 * q^61 - 48 * q^62 + 68 * q^64 + 76 * q^66 + 20 * q^72 - 56 * q^74 - 32 * q^77 - 8 * q^78 - 100 * q^80 - 140 * q^81 + 44 * q^82 - 4 * q^83 - 40 * q^84 - 12 * q^86 - 8 * q^90 - 80 * q^91 + 112 * q^92 - 136 * q^98

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