LMFDB - Embedded newform 304.2.k.b.77.34

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [304,2,Mod(77,304)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(304, base_ring=CyclotomicField(4))

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

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

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

chi := DirichletCharacter("304.77");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$N$	$=$	$304 = 2^{4} \cdot 19$
Weight:	$k$	$=$	$2$
Character orbit:	$[\chi]$	$=$	304.k (of order $4$ , degree $2$ , minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$2.42745222145$
Analytic rank:	$0$
Dimension:	$68$
Relative dimension:	$34$ over $\Q(i)$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{4}]$

Embedding invariants

Embedding label			77.34
Character	$\chi$	$=$	304.77
Dual form			304.2.k.b.229.34

$q$ -expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(1.41380 - 0.0343004i) q^{2} +(-1.89015 - 1.89015i) q^{3} +(1.99765 - 0.0969877i) q^{4} +(-1.06645 + 1.06645i) q^{5} +(-2.73712 - 2.60746i) q^{6} -4.02959i q^{7} +(2.82094 - 0.205641i) q^{8} +4.14533i q^{9} +(-1.47117 + 1.54433i) q^{10} +(0.552303 - 0.552303i) q^{11} +(-3.95917 - 3.59253i) q^{12} +(-4.37311 - 4.37311i) q^{13} +(-0.138217 - 5.69702i) q^{14} +4.03151 q^{15} +(3.98119 - 0.387494i) q^{16} +0.608142 q^{17} +(0.142187 + 5.86066i) q^{18} +(-0.707107 - 0.707107i) q^{19} +(-2.02696 + 2.23383i) q^{20} +(-7.61653 + 7.61653i) q^{21} +(0.761901 - 0.799789i) q^{22} -0.900783i q^{23} +(-5.72070 - 4.94331i) q^{24} +2.72536i q^{25} +(-6.33269 - 6.03269i) q^{26} +(2.16485 - 2.16485i) q^{27} +(-0.390820 - 8.04970i) q^{28} +(6.34029 + 6.34029i) q^{29} +(5.69974 - 0.138282i) q^{30} +7.50604 q^{31} +(5.61530 - 0.684395i) q^{32} -2.08787 q^{33} +(0.859789 - 0.0208595i) q^{34} +(4.29737 + 4.29737i) q^{35} +(0.402046 + 8.28092i) q^{36} +(4.12547 - 4.12547i) q^{37} +(-1.02396 - 0.975452i) q^{38} +16.5317i q^{39} +(-2.78909 + 3.22771i) q^{40} -3.15335i q^{41} +(-10.5070 + 11.0295i) q^{42} +(-4.34630 + 4.34630i) q^{43} +(1.04974 - 1.15687i) q^{44} +(-4.42080 - 4.42080i) q^{45} +(-0.0308972 - 1.27353i) q^{46} +12.4949 q^{47} +(-8.25746 - 6.79262i) q^{48} -9.23758 q^{49} +(0.0934808 + 3.85310i) q^{50} +(-1.14948 - 1.14948i) q^{51} +(-9.16006 - 8.31179i) q^{52} +(0.257543 - 0.257543i) q^{53} +(2.98641 - 3.13492i) q^{54} +1.17801i q^{55} +(-0.828649 - 11.3672i) q^{56} +2.67308i q^{57} +(9.18136 + 8.74641i) q^{58} +(-3.92257 + 3.92257i) q^{59} +(8.05354 - 0.391007i) q^{60} +(4.73541 + 4.73541i) q^{61} +(10.6120 - 0.257460i) q^{62} +16.7040 q^{63} +(7.91542 - 1.16020i) q^{64} +9.32743 q^{65} +(-2.95183 + 0.0716148i) q^{66} +(-9.32201 - 9.32201i) q^{67} +(1.21485 - 0.0589822i) q^{68} +(-1.70262 + 1.70262i) q^{69} +(6.22301 + 5.92820i) q^{70} -0.270319i q^{71} +(0.852451 + 11.6937i) q^{72} +12.3210i q^{73} +(5.69107 - 5.97408i) q^{74} +(5.15133 - 5.15133i) q^{75} +(-1.48113 - 1.34397i) q^{76} +(-2.22555 - 2.22555i) q^{77} +(0.567043 + 23.3724i) q^{78} -1.74353 q^{79} +(-3.83250 + 4.65899i) q^{80} +4.25220 q^{81} +(-0.108161 - 4.45820i) q^{82} +(-2.77691 - 2.77691i) q^{83} +(-14.4764 + 15.9538i) q^{84} +(-0.648554 + 0.648554i) q^{85} +(-5.99571 + 6.29387i) q^{86} -23.9682i q^{87} +(1.44444 - 1.67159i) q^{88} -10.4507i q^{89} +(-6.40176 - 6.09849i) q^{90} +(-17.6218 + 17.6218i) q^{91} +(-0.0873649 - 1.79945i) q^{92} +(-14.1875 - 14.1875i) q^{93} +(17.6653 - 0.428582i) q^{94} +1.50819 q^{95} +(-11.9074 - 9.32015i) q^{96} -3.49540 q^{97} +(-13.0601 + 0.316853i) q^{98} +(2.28948 + 2.28948i) q^{99} +O(q^{100})$
$\operatorname{Tr}(f)(q)$	$=$	$68 q + 4 q^{3} + 4 q^{4} + 8 q^{5} - 8 q^{6} + 4 q^{11} - 4 q^{12} + 20 q^{14} - 16 q^{15} + 4 q^{16} + 4 q^{17} - 16 q^{18} + 16 q^{21} + 4 q^{22} - 4 q^{24} - 36 q^{26} + 28 q^{27} - 24 q^{28} + 24 q^{30}+ \cdots - 24 q^{99}+O(q^{100})$ 68 * q + 4 * q^3 + 4 * q^4 + 8 * q^5 - 8 * q^6 + 4 * q^11 - 4 * q^12 + 20 * q^14 - 16 * q^15 + 4 * q^16 + 4 * q^17 - 16 * q^18 + 16 * q^21 + 4 * q^22 - 4 * q^24 - 36 * q^26 + 28 * q^27 - 24 * q^28 + 24 * q^30 + 32 * q^31 - 20 * q^32 - 16 * q^33 - 32 * q^34 - 24 * q^35 + 52 * q^36 - 24 * q^37 - 4 * q^38 - 8 * q^40 - 40 * q^42 - 16 * q^43 - 36 * q^44 - 8 * q^46 - 24 * q^47 + 36 * q^48 - 56 * q^49 + 24 * q^50 - 52 * q^51 - 28 * q^52 + 32 * q^53 - 52 * q^54 + 12 * q^56 + 52 * q^58 + 28 * q^59 - 64 * q^60 - 12 * q^62 + 24 * q^63 - 32 * q^64 - 16 * q^65 - 44 * q^66 + 28 * q^67 - 48 * q^68 - 8 * q^69 + 4 * q^70 + 108 * q^72 + 72 * q^74 + 44 * q^75 - 12 * q^77 + 100 * q^78 + 8 * q^79 - 56 * q^80 - 76 * q^81 + 28 * q^82 + 40 * q^83 + 52 * q^84 - 8 * q^85 - 20 * q^86 - 56 * q^88 - 24 * q^90 - 4 * q^91 + 72 * q^92 - 84 * q^93 - 24 * q^94 + 32 * q^95 + 72 * q^96 - 16 * q^97 - 80 * q^98 - 24 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/304\mathbb{Z}\right)^\times$ .

$n$	$97$	$191$	$229$
$\chi(n)$	$1$	$1$	$e\left(\frac{3}{4}\right)$

Coefficient data

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

Display

a_p

with

p

up to: 50 250 1000 (See

a_n

instead) (See

a_n

instead) (See

a_n

instead) Display

a_n

with

n

up to: 50 250 1000 (See only

a_p

) (See only

a_p

) (See only

a_p

)

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

$2$	1.41380	−	0.0343004i	0.999706	−	0.0242540i
$2$	1.41380	−	0.0343004i	0.999706	−	0.0242540i
$3$	−1.89015	−	1.89015i	−1.09128	−	1.09128i	−0.995392	−	0.0958864i	$-0.969431\pi$
$3$	−1.89015	−	1.89015i	−1.09128	−	1.09128i	−0.0958864	−	0.995392i	$-0.530569\pi$
$4$	1.99765	−	0.0969877i	0.998823	−	0.0484938i
$5$	−1.06645	+	1.06645i	−0.476932	+	0.476932i	−0.904149	−	0.427217i	$-0.859494\pi$
$5$	−1.06645	+	1.06645i	−0.476932	+	0.476932i	0.427217	+	0.904149i	$0.359494\pi$
$6$	−2.73712	−	2.60746i	−1.11743	−	1.06449i
$7$		−	4.02959i		−	1.52304i	−0.648141	−	0.761521i	$-0.724453\pi$
$7$		−	4.02959i		−	1.52304i	0.648141	−	0.761521i	$-0.275547\pi$
$8$	2.82094	−	0.205641i	0.997353	−	0.0727051i
$9$			4.14533i			1.38178i
$10$	−1.47117	+	1.54433i	−0.465224	+	0.488359i
$11$	0.552303	−	0.552303i	0.166526	−	0.166526i	−0.618925	−	0.785450i	$-0.712431\pi$
$11$	0.552303	−	0.552303i	0.166526	−	0.166526i	0.785450	+	0.618925i	$0.212431\pi$
$12$	−3.95917	−	3.59253i	−1.14292	−	1.03707i
$13$	−4.37311	−	4.37311i	−1.21288	−	1.21288i	−0.970075	−	0.242807i	$-0.921932\pi$
$13$	−4.37311	−	4.37311i	−1.21288	−	1.21288i	−0.242807	−	0.970075i	$-0.578068\pi$
$14$	−0.138217	−	5.69702i	−0.0369399	−	1.52259i
$15$	4.03151			1.04093
$16$	3.98119	−	0.387494i	0.995297	−	0.0968735i
$17$	0.608142			0.147496			0.0737480	−	0.997277i	$-0.476504\pi$
$17$	0.608142			0.147496			0.0737480	+	0.997277i	$0.476504\pi$
$18$	0.142187	+	5.86066i	0.0335137	+	1.38137i
$19$	−0.707107	−	0.707107i	−0.162221	−	0.162221i
$19$	−0.707107	−	0.707107i	−0.162221	−	0.162221i
$20$	−2.02696	+	2.23383i	−0.453243	+	0.499499i
$21$	−7.61653	+	7.61653i	−1.66206	+	1.66206i
$22$	0.761901	−	0.799789i	0.162438	−	0.170516i
$23$		−	0.900783i		−	0.187826i	−0.995580	−	0.0939132i	$-0.970062\pi$
$23$		−	0.900783i		−	0.187826i	0.995580	−	0.0939132i	$-0.0299376\pi$
$24$	−5.72070	−	4.94331i	−1.16773	−	1.00905i
$25$			2.72536i			0.545071i
$26$	−6.33269	−	6.03269i	−1.24194	−	1.18311i
$27$	2.16485	−	2.16485i	0.416626	−	0.416626i
$28$	−0.390820	−	8.04970i	−0.0738581	−	1.52125i
$29$	6.34029	+	6.34029i	1.17736	+	1.17736i	0.980414	+	0.196949i	$0.0631033\pi$
$29$	6.34029	+	6.34029i	1.17736	+	1.17736i	0.196949	+	0.980414i	$0.436897\pi$
$30$	5.69974	−	0.138282i	1.04063	−	0.0252468i
$31$	7.50604			1.34813			0.674063	−	0.738674i	$-0.264548\pi$
$31$	7.50604			1.34813			0.674063	+	0.738674i	$0.264548\pi$
$32$	5.61530	−	0.684395i	0.992654	−	0.120985i
$33$	−2.08787			−0.363452
$34$	0.859789	−	0.0208595i	0.147453	−	0.00357738i
$35$	4.29737	+	4.29737i	0.726387	+	0.726387i
$36$	0.402046	+	8.28092i	0.0670077	+	1.38015i
$37$	4.12547	−	4.12547i	0.678223	−	0.678223i	−0.281375	−	0.959598i	$-0.590790\pi$
$37$	4.12547	−	4.12547i	0.678223	−	0.678223i	0.959598	+	0.281375i	$0.0907905\pi$
$38$	−1.02396	−	0.975452i	−0.166108	−	0.158239i
$39$			16.5317i			2.64718i
$40$	−2.78909	+	3.22771i	−0.440995	+	0.510345i
$41$		−	3.15335i		−	0.492471i	−0.969210	−	0.246236i	$-0.920806\pi$
$41$		−	3.15335i		−	0.492471i	0.969210	−	0.246236i	$-0.0791937\pi$
$42$	−10.5070	+	11.0295i	−1.62126	+	1.70189i
$43$	−4.34630	+	4.34630i	−0.662805	+	0.662805i	−0.956040	−	0.293235i	$-0.905268\pi$
$43$	−4.34630	+	4.34630i	−0.662805	+	0.662805i	0.293235	+	0.956040i	$0.405268\pi$
$44$	1.04974	−	1.15687i	0.158254	−	0.174405i
$45$	−4.42080	−	4.42080i	−0.659015	−	0.659015i
$46$	−0.0308972	−	1.27353i	−0.00455555	−	0.187771i
$47$	12.4949			1.82258			0.911288	−	0.411770i	$-0.135089\pi$
$47$	12.4949			1.82258			0.911288	+	0.411770i	$0.135089\pi$
$48$	−8.25746	−	6.79262i	−1.19186	−	0.980430i
$49$	−9.23758			−1.31965
$50$	0.0934808	+	3.85310i	0.0132202	+	0.544911i
$51$	−1.14948	−	1.14948i	−0.160959	−	0.160959i
$52$	−9.16006	−	8.31179i	−1.27027	−	1.15264i
$53$	0.257543	−	0.257543i	0.0353763	−	0.0353763i	−0.689197	−	0.724574i	$-0.742037\pi$
$53$	0.257543	−	0.257543i	0.0353763	−	0.0353763i	0.724574	+	0.689197i	$0.242037\pi$
$54$	2.98641	−	3.13492i	0.406399	−	0.426609i
$55$			1.17801i			0.158843i
$56$	−0.828649	−	11.3672i	−0.110733	−	1.51901i
$57$			2.67308i			0.354058i
$58$	9.18136	+	8.74641i	1.20557	+	1.14846i
$59$	−3.92257	+	3.92257i	−0.510675	+	0.510675i	−0.914733	−	0.404059i	$-0.867599\pi$
$59$	−3.92257	+	3.92257i	−0.510675	+	0.510675i	0.404059	+	0.914733i	$0.367599\pi$
$60$	8.05354	−	0.391007i	1.03971	−	0.0504788i
$61$	4.73541	+	4.73541i	0.606307	+	0.606307i	0.941979	−	0.335672i	$-0.108963\pi$
$61$	4.73541	+	4.73541i	0.606307	+	0.606307i	−0.335672	+	0.941979i	$0.608963\pi$
$62$	10.6120	−	0.257460i	1.34773	−	0.0326975i
$63$	16.7040			2.10451
$64$	7.91542	−	1.16020i	0.989428	−	0.145025i
$65$	9.32743			1.15692
$66$	−2.95183	+	0.0716148i	−0.363345	+	0.00881518i
$67$	−9.32201	−	9.32201i	−1.13886	−	1.13886i	−0.988654	−	0.150211i	$-0.952005\pi$
$67$	−9.32201	−	9.32201i	−1.13886	−	1.13886i	−0.150211	−	0.988654i	$-0.547995\pi$
$68$	1.21485	−	0.0589822i	0.147322	−	0.00715265i
$69$	−1.70262	+	1.70262i	−0.204971	+	0.204971i
$70$	6.22301	+	5.92820i	0.743792	+	0.708556i
$71$		−	0.270319i		−	0.0320809i	−0.999871	−	0.0160405i	$-0.994894\pi$
$71$		−	0.270319i		−	0.0320809i	0.999871	−	0.0160405i	$-0.00510605\pi$
$72$	0.852451	+	11.6937i	0.100462	+	1.37812i
$73$			12.3210i			1.44206i	0.692903	+	0.721031i	$0.256331\pi$
$73$			12.3210i			1.44206i	−0.692903	+	0.721031i	$0.743669\pi$
$74$	5.69107	−	5.97408i	0.661574	−	0.694473i
$75$	5.15133	−	5.15133i	0.594825	−	0.594825i
$76$	−1.48113	−	1.34397i	−0.169897	−	0.154164i
$77$	−2.22555	−	2.22555i	−0.253625	−	0.253625i
$78$	0.567043	+	23.3724i	0.0642049	+	2.64641i
$79$	−1.74353			−0.196162			−0.0980810	−	0.995178i	$-0.531270\pi$
$79$	−1.74353			−0.196162			−0.0980810	+	0.995178i	$0.531270\pi$
$80$	−3.83250	+	4.65899i	−0.428487	+	0.520891i
$81$	4.25220			0.472467
$82$	−0.108161	−	4.45820i	−0.0119444	−	0.492326i
$83$	−2.77691	−	2.77691i	−0.304805	−	0.304805i	0.538085	−	0.842890i	$-0.319148\pi$
$83$	−2.77691	−	2.77691i	−0.304805	−	0.304805i	−0.842890	+	0.538085i	$0.819148\pi$
$84$	−14.4764	+	15.9538i	−1.57951	+	1.74071i
$85$	−0.648554	+	0.648554i	−0.0703456	+	0.0703456i
$86$	−5.99571	+	6.29387i	−0.646534	+	0.678686i
$87$		−	23.9682i		−	2.56966i
$88$	1.44444	−	1.67159i	0.153978	−	0.178192i
$89$		−	10.4507i		−	1.10778i	−0.832591	−	0.553888i	$-0.813144\pi$
$89$		−	10.4507i		−	1.10778i	0.832591	−	0.553888i	$-0.186856\pi$
$90$	−6.40176	−	6.09849i	−0.674804	−	0.642837i
$91$	−17.6218	+	17.6218i	−1.84727	+	1.84727i
$92$	−0.0873649	−	1.79945i	−0.00910842	−	0.187605i
$93$	−14.1875	−	14.1875i	−1.47118	−	1.47118i
$94$	17.6653	−	0.428582i	1.82204	−	0.0442048i
$95$	1.50819			0.154737
$96$	−11.9074	−	9.32015i	−1.21529	−	0.951234i
$97$	−3.49540			−0.354904			−0.177452	−	0.984129i	$-0.556785\pi$
$97$	−3.49540			−0.354904			−0.177452	+	0.984129i	$0.556785\pi$
$98$	−13.0601	+	0.316853i	−1.31927	+	0.0320070i
$99$	2.28948	+	2.28948i	0.230102	+	0.230102i
$100$	0.264326	+	5.44430i	0.0264326	+	0.544430i
$101$	−12.3075	+	12.3075i	−1.22464	+	1.22464i	−0.258673	+	0.965965i	$0.583285\pi$
$101$	−12.3075	+	12.3075i	−1.22464	+	1.22464i	−0.965965	+	0.258673i	$0.916715\pi$
$102$	−1.66456	−	1.58570i	−0.164816	−	0.157008i
$103$		−	5.57914i		−	0.549729i	−0.961483	−	0.274865i	$-0.911367\pi$
$103$		−	5.57914i		−	0.549729i	0.961483	−	0.274865i	$-0.0886330\pi$
$104$	−13.2356	−	11.4370i	−1.29785	−	1.12149i
$105$		−	16.2453i		−	1.58538i
$106$	0.355280	−	0.372948i	0.0345079	−	0.0362239i
$107$	4.04485	−	4.04485i	0.391031	−	0.391031i	−0.484024	−	0.875055i	$-0.660825\pi$
$107$	4.04485	−	4.04485i	0.391031	−	0.391031i	0.875055	+	0.484024i	$0.160825\pi$
$108$	4.11465	−	4.53458i	0.395932	−	0.436340i
$109$	3.65197	+	3.65197i	0.349796	+	0.349796i	0.860033	−	0.510238i	$-0.170443\pi$
$109$	3.65197	+	3.65197i	0.349796	+	0.349796i	−0.510238	+	0.860033i	$0.670443\pi$
$110$	0.0404062	+	1.66547i	0.00385258	+	0.158796i
$111$	−15.5955			−1.48026
$112$	−1.56144	−	16.0425i	−0.147542	−	1.51588i
$113$	−4.70937			−0.443020			−0.221510	−	0.975158i	$-0.571099\pi$
$113$	−4.70937			−0.443020			−0.221510	+	0.975158i	$0.571099\pi$
$114$	0.0916876	+	3.77919i	0.00858733	+	0.353953i
$115$	0.960643	+	0.960643i	0.0895804	+	0.0895804i
$116$	13.2806	+	12.0507i	1.23307	+	1.11888i
$117$	18.1280	−	18.1280i	1.67593	−	1.67593i
$118$	−5.41117	+	5.68026i	−0.498138	+	0.522910i
$119$		−	2.45056i		−	0.224643i
$120$	11.3727	−	0.829044i	1.03818	−	0.0756810i
$121$			10.3899i			0.944538i
$122$	6.85734	+	6.53249i	0.620835	+	0.591424i
$123$	−5.96031	+	5.96031i	−0.537423	+	0.537423i
$124$	14.9944	−	0.727993i	1.34654	−	0.0653757i
$125$	−8.23873	−	8.23873i	−0.736894	−	0.736894i
$126$	23.6161	−	0.572954i	2.10389	−	0.0510428i
$127$	−15.6940			−1.39262			−0.696311	−	0.717741i	$-0.745176\pi$
$127$	−15.6940			−1.39262			−0.696311	+	0.717741i	$0.745176\pi$
$128$	11.1510	−	1.91179i	0.985619	−	0.168980i
$129$	16.4303			1.44661
$130$	13.1871	−	0.319934i	1.15658	−	0.0280601i
$131$	1.22078	+	1.22078i	0.106660	+	0.106660i	0.758423	−	0.651763i	$-0.225970\pi$
$131$	1.22078	+	1.22078i	0.106660	+	0.106660i	−0.651763	+	0.758423i	$0.725970\pi$
$132$	−4.17083	+	0.202498i	−0.363024	+	0.0176252i
$133$	−2.84935	+	2.84935i	−0.247070	+	0.247070i
$134$	−13.4992	−	12.8597i	−1.16615	−	1.11091i
$135$			4.61743i			0.397405i
$136$	1.71553	−	0.125059i	0.147106	−	0.0107237i
$137$		−	0.501149i		−	0.0428160i	−0.999771	−	0.0214080i	$-0.993185\pi$
$137$		−	0.501149i		−	0.0428160i	0.999771	−	0.0214080i	$-0.00681491\pi$
$138$	−2.34875	+	2.46555i	−0.199939	+	0.209882i
$139$	9.02230	−	9.02230i	0.765261	−	0.765261i	−0.212007	−	0.977268i	$-0.568000\pi$
$139$	9.02230	−	9.02230i	0.765261	−	0.765261i	0.977268	+	0.212007i	$0.0679999\pi$
$140$	9.00141	+	8.16783i	0.760758	+	0.690308i
$141$	−23.6173	−	23.6173i	−1.98894	−	1.98894i
$142$	−0.00927203	−	0.382176i	−0.000778092	−	0.0320715i
$143$	−4.83056			−0.403952
$144$	1.60629	+	16.5034i	0.133858	+	1.37528i
$145$	−13.5232			−1.12304
$146$	0.422614	+	17.4194i	0.0349758	+	1.44164i
$147$	17.4604	+	17.4604i	1.44011	+	1.44011i
$148$	7.84111	−	8.64135i	0.644535	−	0.710315i
$149$	15.6712	−	15.6712i	1.28383	−	1.28383i	0.345363	−	0.938469i	$-0.387756\pi$
$149$	15.6712	−	15.6712i	1.28383	−	1.28383i	0.938469	−	0.345363i	$-0.112244\pi$
$150$	7.10625	−	7.45964i	0.580223	−	0.609077i
$151$		−	12.8059i		−	1.04213i	−0.853516	−	0.521066i	$-0.825534\pi$
$151$		−	12.8059i		−	1.04213i	0.853516	−	0.521066i	$-0.174466\pi$
$152$	−2.14012	−	1.84930i	−0.173586	−	0.149998i
$153$			2.52095i			0.203807i
$154$	−3.22282	−	3.07015i	−0.259702	−	0.247399i
$155$	−8.00484	+	8.00484i	−0.642964	+	0.642964i
$156$	1.60337	+	33.0244i	0.128372	+	2.64407i
$157$	13.3219	+	13.3219i	1.06320	+	1.06320i	0.997863	+	0.0653374i	$0.0208124\pi$
$157$	13.3219	+	13.3219i	1.06320	+	1.06320i	0.0653374	+	0.997863i	$0.479188\pi$
$158$	−2.46499	+	0.0598036i	−0.196104	+	0.00475772i
$159$	−0.973591			−0.0772108
$160$	−5.25858	+	6.71833i	−0.415727	+	0.531130i
$161$	−3.62979			−0.286067
$162$	6.01176	−	0.145852i	0.472328	−	0.0114592i
$163$	2.50875	+	2.50875i	0.196501	+	0.196501i	0.798498	−	0.601997i	$-0.205628\pi$
$163$	2.50875	+	2.50875i	0.196501	+	0.196501i	−0.601997	+	0.798498i	$0.705628\pi$
$164$	−0.305836	−	6.29929i	−0.0238818	−	0.491892i
$165$	2.22662	−	2.22662i	0.173342	−	0.173342i
$166$	−4.02123	−	3.83074i	−0.312108	−	0.297323i
$167$			13.2280i			1.02361i	0.859101	+	0.511806i	$0.171023\pi$
$167$			13.2280i			1.02361i	−0.859101	+	0.511806i	$0.828977\pi$
$168$	−19.9195	+	23.0520i	−1.53682	+	1.77850i
$169$			25.2481i			1.94216i
$170$	−0.894679	+	0.939170i	−0.0686187	+	0.0720311i
$171$	2.93119	−	2.93119i	0.224154	−	0.224154i
$172$	−8.26084	+	9.10392i	−0.629883	+	0.694167i
$173$	2.64423	+	2.64423i	0.201037	+	0.201037i	0.800444	−	0.599407i	$-0.204597\pi$
$173$	2.64423	+	2.64423i	0.201037	+	0.201037i	−0.599407	+	0.800444i	$0.704597\pi$
$174$	−0.822119	−	33.8862i	−0.0623247	−	2.56891i
$175$	10.9821			0.830166
$176$	1.98481	−	2.41284i	0.149611	−	0.181874i
$177$	14.8285			1.11458
$178$	−0.358464	−	14.7752i	−0.0268680	−	1.10745i
$179$	−5.58253	−	5.58253i	−0.417258	−	0.417258i	0.467000	−	0.884257i	$-0.345335\pi$
$179$	−5.58253	−	5.58253i	−0.417258	−	0.417258i	−0.884257	+	0.467000i	$0.845335\pi$
$180$	−9.25997	−	8.40244i	−0.690197	−	0.626281i
$181$	12.3479	−	12.3479i	0.917815	−	0.917815i	−0.0790555	−	0.996870i	$-0.525190\pi$
$181$	12.3479	−	12.3479i	0.917815	−	0.917815i	0.996870	+	0.0790555i	$0.0251904\pi$
$182$	−24.3093	+	25.5181i	−1.80192	+	1.89153i
$183$		−	17.9013i		−	1.32330i
$184$	−0.185238	−	2.54106i	−0.0136559	−	0.187329i
$185$			8.79924i			0.646933i
$186$	−20.5450	−	19.5717i	−1.50643	−	1.43507i
$187$	0.335879	−	0.335879i	0.0245619	−	0.0245619i
$188$	24.9605	−	1.21186i	1.82043	−	0.0883837i
$189$	−8.72347	−	8.72347i	−0.634539	−	0.634539i
$190$	2.13228	−	0.0517316i	0.154692	−	0.00375300i
$191$	2.01504			0.145804			0.0729018	−	0.997339i	$-0.476774\pi$
$191$	2.01504			0.145804			0.0729018	+	0.997339i	$0.476774\pi$
$192$	−17.1543	−	12.7684i	−1.23800	−	0.921479i
$193$	2.51436			0.180987			0.0904937	−	0.995897i	$-0.471155\pi$
$193$	2.51436			0.180987			0.0904937	+	0.995897i	$0.471155\pi$
$194$	−4.94179	+	0.119894i	−0.354800	+	0.00860786i
$195$	−17.6302	−	17.6302i	−1.26253	−	1.26253i
$196$	−18.4534	+	0.895932i	−1.31810	+	0.0639951i
$197$	8.73121	−	8.73121i	0.622073	−	0.622073i	−0.323988	−	0.946061i	$-0.605024\pi$
$197$	8.73121	−	8.73121i	0.622073	−	0.622073i	0.946061	+	0.323988i	$0.105024\pi$
$198$	3.31539	+	3.15833i	0.235615	+	0.224453i
$199$		−	3.61211i		−	0.256056i	−0.991771	−	0.128028i	$-0.959135\pi$
$199$		−	3.61211i		−	0.256056i	0.991771	−	0.128028i	$-0.0408647\pi$
$200$	0.560445	+	7.68807i	0.0396295	+	0.543629i
$201$			35.2400i			2.48564i
$202$	−16.9781	+	17.8224i	−1.19458	+	1.25398i
$203$	25.5488	−	25.5488i	1.79317	−	1.79317i
$204$	−2.40774	−	2.18477i	−0.168575	−	0.152964i
$205$	3.36290	+	3.36290i	0.234875	+	0.234875i
$206$	−0.191367	−	7.88778i	−0.0133332	−	0.549567i
$207$	3.73405			0.259534
$208$	−19.1047	−	15.7156i	−1.32467	−	1.08968i
$209$	−0.781075			−0.0540281
$210$	−0.557222	−	22.9676i	−0.0384519	−	1.58492i
$211$	3.51585	+	3.51585i	0.242041	+	0.242041i	0.817694	−	0.575653i	$-0.195252\pi$
$211$	3.51585	+	3.51585i	0.242041	+	0.242041i	−0.575653	+	0.817694i	$0.695252\pi$
$212$	0.489502	−	0.539459i	0.0336191	−	0.0370502i
$213$	−0.510943	+	0.510943i	−0.0350092	+	0.0350092i
$214$	5.57986	−	5.85734i	0.381432	−	0.400400i
$215$		−	9.27026i		−	0.632226i
$216$	5.66174	−	6.55211i	0.385233	−	0.445815i
$217$		−	30.2463i		−	2.05325i
$218$	5.28841	+	5.03789i	0.358177	+	0.341209i
$219$	23.2885	−	23.2885i	1.57369	−	1.57369i
$220$	0.114252	+	2.35325i	0.00770290	+	0.158656i
$221$	−2.65947	−	2.65947i	−0.178895	−	0.178895i
$222$	−22.0489	+	0.534932i	−1.47982	+	0.0359023i
$223$	−25.9333			−1.73663			−0.868313	−	0.496017i	$-0.834795\pi$
$223$	−25.9333			−1.73663			−0.868313	+	0.496017i	$0.834795\pi$
$224$	−2.75783	−	22.6274i	−0.184265	−	1.51185i
$225$	−11.2975			−0.753168
$226$	−6.65809	+	0.161533i	−0.442890	+	0.0107450i
$227$	15.5390	+	15.5390i	1.03136	+	1.03136i	0.999492	+	0.0318692i	$0.0101460\pi$
$227$	15.5390	+	15.5390i	1.03136	+	1.03136i	0.0318692	+	0.999492i	$0.489854\pi$
$228$	0.259255	+	5.33986i	0.0171696	+	0.353641i
$229$	−7.93339	+	7.93339i	−0.524253	+	0.524253i	−0.918853	−	0.394600i	$-0.870883\pi$
$229$	−7.93339	+	7.93339i	−0.524253	+	0.524253i	0.394600	+	0.918853i	$0.370883\pi$
$230$	1.39111	+	1.32520i	0.0917268	+	0.0873814i
$231$			8.41326i			0.553552i
$232$	19.1894	+	16.5818i	1.25985	+	1.08865i
$233$			13.0596i			0.855564i	0.903882	+	0.427782i	$0.140705\pi$
$233$			13.0596i			0.855564i	−0.903882	+	0.427782i	$0.859295\pi$
$234$	25.0075	−	26.2511i	1.63479	−	1.71609i
$235$	−13.3253	+	13.3253i	−0.869245	+	0.869245i
$236$	−7.45546	+	8.21634i	−0.485309	+	0.534838i
$237$	3.29553	+	3.29553i	0.214067	+	0.214067i
$238$	−0.0840552	−	3.46460i	−0.00544849	−	0.224576i
$239$	3.88146			0.251071			0.125535	−	0.992089i	$-0.459935\pi$
$239$	3.88146			0.251071			0.125535	+	0.992089i	$0.459935\pi$
$240$	16.0502	−	1.56219i	1.03604	−	0.100839i
$241$	−21.7242			−1.39938			−0.699689	−	0.714448i	$-0.746678\pi$
$241$	−21.7242			−1.39938			−0.699689	+	0.714448i	$0.746678\pi$
$242$	0.356379	+	14.6892i	0.0229089	+	0.944261i
$243$	−14.5319	−	14.5319i	−0.932220	−	0.932220i
$244$	9.91896	+	9.00041i	0.634996	+	0.576192i
$245$	9.85145	−	9.85145i	0.629386	−	0.629386i
$246$	−8.22223	+	8.63111i	−0.524230	+	0.550300i
$247$			6.18451i			0.393511i
$248$	21.1741	−	1.54355i	1.34456	−	0.0980155i
$249$			10.4975i			0.665255i
$250$	−11.9305	−	11.3653i	−0.754550	−	0.718805i
$251$	−20.9875	+	20.9875i	−1.32472	+	1.32472i	−0.414807	+	0.909909i	$0.636151\pi$
$251$	−20.9875	+	20.9875i	−1.32472	+	1.32472i	−0.909909	+	0.414807i	$0.863849\pi$
$252$	33.3687	−	1.62008i	2.10203	−	0.102056i
$253$	−0.497505	−	0.497505i	−0.0312779	−	0.0312779i
$254$	−22.1882	+	0.538312i	−1.39221	+	0.0337767i
$255$	2.45173			0.153533
$256$	15.6997	−	3.08537i	0.981231	−	0.192836i
$257$	3.05424			0.190518			0.0952590	−	0.995453i	$-0.469632\pi$
$257$	3.05424			0.190518			0.0952590	+	0.995453i	$0.469632\pi$
$258$	23.2292	−	0.563567i	1.44618	−	0.0350862i
$259$	−16.6239	−	16.6239i	−1.03296	−	1.03296i
$260$	18.6329	−	0.904645i	1.15556	−	0.0561037i
$261$	−26.2826	+	26.2826i	−1.62685	+	1.62685i
$262$	1.76781	+	1.68406i	0.109216	+	0.104042i
$263$			19.3970i			1.19607i	0.801469	+	0.598036i	$0.204052\pi$
$263$			19.3970i			1.19607i	−0.801469	+	0.598036i	$0.795948\pi$
$264$	−5.88976	+	0.429352i	−0.362490	+	0.0264248i
$265$			0.549315i			0.0337442i
$266$	−3.93067	+	4.12614i	−0.241005	+	0.252990i
$267$	−19.7535	+	19.7535i	−1.20889	+	1.20889i
$268$	−19.5262	−	17.7180i	−1.19275	−	1.08230i
$269$	12.1781	+	12.1781i	0.742514	+	0.742514i	0.973061	−	0.230547i	$-0.0740516\pi$
$269$	12.1781	+	12.1781i	0.742514	+	0.742514i	−0.230547	+	0.973061i	$0.574052\pi$
$270$	0.158380	+	6.52811i	0.00963868	+	0.397288i
$271$	−18.7432			−1.13857			−0.569285	−	0.822140i	$-0.692780\pi$
$271$	−18.7432			−1.13857			−0.569285	+	0.822140i	$0.692780\pi$
$272$	2.42113	−	0.235651i	0.146802	−	0.0142885i
$273$	66.6158			4.03177
$274$	−0.0171896	−	0.708523i	−0.00103846	−	0.0428035i
$275$	1.50522	+	1.50522i	0.0907684	+	0.0907684i
$276$	−3.23609	+	3.56636i	−0.194790	+	0.214670i
$277$	4.84631	−	4.84631i	0.291187	−	0.291187i	−0.546362	−	0.837549i	$-0.683988\pi$
$277$	4.84631	−	4.84631i	0.291187	−	0.291187i	0.837549	+	0.546362i	$0.183988\pi$
$278$	12.4462	−	13.0652i	0.746476	−	0.783597i
$279$			31.1151i			1.86281i
$280$	13.0063	+	11.2389i	0.777277	+	0.671653i
$281$		−	7.27330i		−	0.433889i	−0.976184	−	0.216944i	$-0.930391\pi$
$281$		−	7.27330i		−	0.433889i	0.976184	−	0.216944i	$-0.0696090\pi$
$282$	−34.2002	−	32.5800i	−2.03659	−	1.94011i
$283$	−4.02007	+	4.02007i	−0.238968	+	0.238968i	−0.816423	−	0.577455i	$-0.804046\pi$
$283$	−4.02007	+	4.02007i	−0.238968	+	0.238968i	0.577455	+	0.816423i	$0.304046\pi$
$284$	−0.0262176	−	0.540001i	−0.00155573	−	0.0320432i
$285$	−2.85071	−	2.85071i	−0.168861	−	0.168861i
$286$	−6.82944	+	0.165690i	−0.403833	+	0.00979747i
$287$	−12.7067			−0.750054
$288$	2.83704	+	23.2773i	0.167174	+	1.37163i
$289$	−16.6302			−0.978245
$290$	−19.1191	+	0.463853i	−1.12271	+	0.0272384i
$291$	6.60683	+	6.60683i	0.387299	+	0.387299i
$292$	1.19498	+	24.6130i	0.0699311	+	1.44036i
$293$	13.2722	−	13.2722i	0.775370	−	0.775370i	−0.203670	−	0.979040i	$-0.565287\pi$
$293$	13.2722	−	13.2722i	0.775370	−	0.775370i	0.979040	+	0.203670i	$0.0652869\pi$
$294$	25.2844	+	24.0866i	1.47462	+	1.40476i
$295$		−	8.36646i		−	0.487114i
$296$	10.7893	−	12.4861i	0.627118	−	0.725738i
$297$		−	2.39131i		−	0.138758i
$298$	21.6183	−	22.6934i	1.25232	−	1.31459i
$299$	−3.93922	+	3.93922i	−0.227811	+	0.227811i
$300$	9.79093	−	10.7902i	0.565280	−	0.622970i
$301$	17.5138	+	17.5138i	1.00948	+	1.00948i
$302$	−0.439249	−	18.1050i	−0.0252759	−	1.04183i
$303$	46.5259			2.67284
$304$	−3.08912	−	2.54112i	−0.177173	−	0.145743i
$305$	−10.1002			−0.578335
$306$	0.0864696	+	3.56411i	0.00494314	+	0.203747i
$307$	14.4957	+	14.4957i	0.827315	+	0.827315i	0.987145	−	0.159830i	$-0.0510945\pi$
$307$	14.4957	+	14.4957i	0.827315	+	0.827315i	−0.159830	+	0.987145i	$0.551094\pi$
$308$	−4.66172	−	4.23002i	−0.265626	−	0.241028i
$309$	−10.5454	+	10.5454i	−0.599908	+	0.599908i
$310$	−11.0427	+	11.5918i	−0.627181	+	0.658370i
$311$		−	5.20251i		−	0.295007i	−0.989062	−	0.147504i	$-0.952876\pi$
$311$		−	5.20251i		−	0.295007i	0.989062	−	0.147504i	$-0.0471238\pi$
$312$	3.39959	+	46.6348i	0.192464	+	2.64018i
$313$			25.8149i			1.45914i	0.683904	+	0.729572i	$0.260281\pi$
$313$			25.8149i			1.45914i	−0.683904	+	0.729572i	$0.739719\pi$
$314$	19.2914	+	18.3775i	1.08867	+	1.03710i
$315$	−17.8140	+	17.8140i	−1.00371	+	1.00371i
$316$	−3.48295	+	0.169100i	−0.195931	+	0.00951265i
$317$	13.8188	+	13.8188i	0.776142	+	0.776142i	0.979172	−	0.203030i	$-0.0650790\pi$
$317$	13.8188	+	13.8188i	0.776142	+	0.776142i	−0.203030	+	0.979172i	$0.565079\pi$
$318$	−1.37646	+	0.0333946i	−0.0771881	+	0.00187267i
$319$	7.00353			0.392122
$320$	−7.20412	+	9.67873i	−0.402723	+	0.541057i
$321$	−15.2908			−0.853447
$322$	−5.13178	+	0.124503i	−0.285983	+	0.00693829i
$323$	−0.430021	−	0.430021i	−0.0239270	−	0.0239270i
$324$	8.49440	−	0.412411i	0.471911	−	0.0229117i
$325$	11.9183	−	11.9183i	0.661107	−	0.661107i
$326$	3.63292	+	3.46082i	0.201209	+	0.191677i
$327$		−	13.8056i		−	0.763449i
$328$	−0.648459	−	8.89543i	−0.0358051	−	0.491168i
$329$		−	50.3495i		−	2.77586i
$330$	3.07161	−	3.22436i	0.169087	−	0.177495i
$331$	−12.6291	+	12.6291i	−0.694160	+	0.694160i	−0.963144	−	0.268985i	$-0.913312\pi$
$331$	−12.6291	+	12.6291i	−0.694160	+	0.694160i	0.268985	+	0.963144i	$0.413312\pi$
$332$	−5.81661	−	5.27796i	−0.319228	−	0.289665i
$333$	17.1014	+	17.1014i	0.937154	+	0.937154i
$334$	0.453725	+	18.7017i	0.0248267	+	1.02331i
$335$	19.8830			1.08632
$336$	−27.3715	+	33.2742i	−1.49324	+	1.81526i
$337$	−11.1511			−0.607438			−0.303719	−	0.952762i	$-0.598228\pi$
$337$	−11.1511			−0.607438			−0.303719	+	0.952762i	$0.598228\pi$
$338$	0.866021	+	35.6958i	0.0471054	+	1.94159i
$339$	8.90141	+	8.90141i	0.483458	+	0.483458i
$340$	−1.23268	+	1.35848i	−0.0668515	+	0.0736742i
$341$	4.14561	−	4.14561i	0.224497	−	0.224497i
$342$	4.04357	−	4.24466i	0.218651	−	0.229525i
$343$			9.01654i			0.486847i
$344$	−11.3669	+	13.1544i	−0.612862	+	0.709240i
$345$		−	3.63152i		−	0.195514i
$346$	3.82910	+	3.64771i	0.205854	+	0.196102i
$347$	−10.3939	+	10.3939i	−0.557974	+	0.557974i	−0.928730	−	0.370756i	$-0.879099\pi$
$347$	−10.3939	+	10.3939i	−0.557974	+	0.557974i	0.370756	+	0.928730i	$0.379099\pi$
$348$	−2.32462	−	47.8800i	−0.124613	−	2.56664i
$349$	−10.9522	−	10.9522i	−0.586258	−	0.586258i	0.350358	−	0.936616i	$-0.386060\pi$
$349$	−10.9522	−	10.9522i	−0.586258	−	0.586258i	−0.936616	+	0.350358i	$0.886060\pi$
$350$	15.5264	−	0.376689i	0.829922	−	0.0201349i
$351$	−18.9343			−1.01064
$352$	2.72335	−	3.47934i	0.145155	−	0.185450i
$353$	28.2593			1.50409			0.752045	−	0.659111i	$-0.229067\pi$
$353$	28.2593			1.50409			0.752045	+	0.659111i	$0.229067\pi$
$354$	20.9645	−	0.508623i	1.11425	−	0.0270330i
$355$	0.288282	+	0.288282i	0.0153004	+	0.0153004i
$356$	−1.01359	−	20.8769i	−0.0537203	−	1.10647i
$357$	−4.63193	+	4.63193i	−0.245148	+	0.245148i
$358$	−8.08405	−	7.70108i	−0.427255	−	0.407015i
$359$			6.64825i			0.350881i	0.984490	+	0.175441i	$0.0561350\pi$
$359$			6.64825i			0.350881i	−0.984490	+	0.175441i	$0.943865\pi$
$360$	−13.3799	−	11.5617i	−0.705184	−	0.609357i
$361$			1.00000i			0.0526316i
$362$	17.0339	−	17.8810i	0.895284	−	0.939805i
$363$	19.6385	−	19.6385i	1.03075	−	1.03075i
$364$	−33.4931	+	36.9113i	−1.75551	+	1.93468i
$365$	−13.1397	−	13.1397i	−0.687765	−	0.687765i
$366$	−0.614021	−	25.3088i	−0.0320954	−	1.32291i
$367$	−8.84035			−0.461462			−0.230731	−	0.973018i	$-0.574112\pi$
$367$	−8.84035			−0.461462			−0.230731	+	0.973018i	$0.574112\pi$
$368$	−0.349048	−	3.58619i	−0.0181954	−	0.186943i
$369$	13.0717			0.680486
$370$	0.301817	+	12.4403i	0.0156907	+	0.646742i
$371$	−1.03779	−	1.03779i	−0.0538795	−	0.0538795i
$372$	−29.7177	−	26.9657i	−1.54079	−	1.39811i
$373$	−8.66241	+	8.66241i	−0.448522	+	0.448522i	−0.894863	−	0.446341i	$-0.852727\pi$
$373$	−8.66241	+	8.66241i	−0.448522	+	0.448522i	0.446341	+	0.894863i	$0.352727\pi$
$374$	0.463343	−	0.486385i	0.0239589	−	0.0251504i
$375$			31.1449i			1.60831i
$376$	35.2475	−	2.56947i	1.81775	−	0.132511i
$377$		−	55.4536i		−	2.85600i
$378$	−12.6324	−	12.0340i	−0.649743	−	0.618962i
$379$	8.58240	−	8.58240i	0.440848	−	0.440848i	−0.451449	−	0.892297i	$-0.649093\pi$
$379$	8.58240	−	8.58240i	0.440848	−	0.440848i	0.892297	+	0.451449i	$0.149093\pi$
$380$	3.01284	−	0.146276i	0.154555	−	0.00750380i
$381$	29.6641	+	29.6641i	1.51974	+	1.51974i
$382$	2.84887	−	0.0691169i	0.145761	−	0.00353633i
$383$	−29.4894			−1.50684			−0.753420	−	0.657540i	$-0.771597\pi$
$383$	−29.4894			−1.50684			−0.753420	+	0.657540i	$0.771597\pi$
$384$	−24.6907	−	17.4635i	−1.25999	−	0.891181i
$385$	4.74690			0.241924
$386$	3.55479	−	0.0862435i	0.180934	−	0.00438968i
$387$	−18.0169	−	18.0169i	−0.915850	−	0.915850i
$388$	−6.98258	+	0.339011i	−0.354487	+	0.0172107i
$389$	−9.54195	+	9.54195i	−0.483796	+	0.483796i	−0.906342	−	0.422546i	$-0.861137\pi$
$389$	−9.54195	+	9.54195i	−0.483796	+	0.483796i	0.422546	+	0.906342i	$0.361137\pi$
$390$	−25.5303	−	24.3209i	−1.29278	−	1.23153i
$391$		−	0.547804i		−	0.0277036i
$392$	−26.0587	+	1.89963i	−1.31616	+	0.0959456i
$393$		−	4.61492i		−	0.232792i
$394$	12.0447	−	12.6437i	0.606803	−	0.636978i
$395$	1.85939	−	1.85939i	0.0935560	−	0.0935560i
$396$	4.79563	+	4.35152i	0.240989	+	0.218672i
$397$	−16.2249	−	16.2249i	−0.814306	−	0.814306i	0.170970	−	0.985276i	$-0.445310\pi$
$397$	−16.2249	−	16.2249i	−0.814306	−	0.814306i	−0.985276	+	0.170970i	$0.945310\pi$
$398$	−0.123897	−	5.10680i	−0.00621039	−	0.255981i
$399$	10.7714			0.539244
$400$	1.05606	+	10.8502i	0.0528030	+	0.542508i
$401$	10.8292			0.540783			0.270392	−	0.962750i	$-0.412847\pi$
$401$	10.8292			0.540783			0.270392	+	0.962750i	$0.412847\pi$
$402$	1.20875	+	49.8222i	0.0602868	+	2.48491i
$403$	−32.8247	−	32.8247i	−1.63512	−	1.63512i
$404$	−23.3923	+	25.7796i	−1.16381	+	1.28258i
$405$	−4.53478	+	4.53478i	−0.225335	+	0.225335i
$406$	35.2445	−	36.9971i	1.74915	−	1.83614i
$407$		−	4.55702i		−	0.225883i
$408$	−3.47899	−	3.00623i	−0.172236	−	0.148831i
$409$		−	19.3955i		−	0.959048i	−0.877529	−	0.479524i	$-0.840809\pi$
$409$		−	19.3955i		−	0.959048i	0.877529	−	0.479524i	$-0.159191\pi$
$410$	4.86981	+	4.63911i	0.240503	+	0.229110i
$411$	−0.947247	+	0.947247i	−0.0467242	+	0.0467242i
$412$	−0.541108	−	11.1452i	−0.0266585	−	0.549082i
$413$	15.8063	+	15.8063i	0.777779	+	0.777779i
$414$	5.27919	−	0.128079i	0.259458	−	0.00629476i
$415$	5.92288			0.290743
$416$	−27.5492	−	21.5634i	−1.35071	−	1.05723i
$417$	−34.1070			−1.67023
$418$	−1.10428	+	0.0267912i	−0.0540122	+	0.00131040i
$419$	7.01113	+	7.01113i	0.342516	+	0.342516i	0.857313	−	0.514796i	$-0.172132\pi$
$419$	7.01113	+	7.01113i	0.342516	+	0.342516i	−0.514796	+	0.857313i	$0.672132\pi$
$420$	−1.57560	−	32.4524i	−0.0768813	−	1.58352i
$421$	4.19487	−	4.19487i	0.204445	−	0.204445i	−0.597456	−	0.801902i	$-0.703822\pi$
$421$	4.19487	−	4.19487i	0.204445	−	0.204445i	0.801902	+	0.597456i	$0.203822\pi$
$422$	5.09130	+	4.85011i	0.247841	+	0.236100i
$423$			51.7957i			2.51840i
$424$	0.673553	−	0.779476i	0.0327106	−	0.0378547i
$425$			1.65740i			0.0803959i
$426$	−0.704844	+	0.739895i	−0.0341498	+	0.0358480i
$427$	19.0818	−	19.0818i	0.923431	−	0.923431i
$428$	7.68789	−	8.47249i	0.371608	−	0.409533i
$429$	9.13049	+	9.13049i	0.440824	+	0.440824i
$430$	−0.317974	−	13.1063i	−0.0153340	−	0.632040i
$431$	1.34988			0.0650215			0.0325107	−	0.999471i	$-0.489650\pi$
$431$	1.34988			0.0650215			0.0325107	+	0.999471i	$0.489650\pi$
$432$	7.77982	−	9.45756i	0.374307	−	0.455027i
$433$	29.1510			1.40091			0.700454	−	0.713698i	$-0.252981\pi$
$433$	29.1510			1.40091			0.700454	+	0.713698i	$0.252981\pi$
$434$	−1.03746	−	42.7621i	−0.0497996	−	2.05265i
$435$	25.5610	+	25.5610i	1.22555	+	1.22555i
$436$	7.64955	+	6.94116i	0.366347	+	0.332421i
$437$	−0.636950	+	0.636950i	−0.0304695	+	0.0304695i
$438$	32.1264	−	33.7240i	1.53506	−	1.61140i
$439$		−	4.37163i		−	0.208646i	−0.994543	−	0.104323i	$-0.966732\pi$
$439$		−	4.37163i		−	0.208646i	0.994543	−	0.104323i	$-0.0332676\pi$
$440$	0.242247	+	3.32310i	0.0115487	+	0.158423i
$441$		−	38.2929i		−	1.82347i
$442$	−3.85117	−	3.66873i	−0.183182	−	0.174504i
$443$	−20.5023	+	20.5023i	−0.974092	+	0.974092i	−0.999673	−	0.0255807i	$-0.991857\pi$
$443$	−20.5023	+	20.5023i	−0.974092	+	0.974092i	0.0255807	+	0.999673i	$0.491857\pi$
$444$	−31.1543	+	1.51257i	−1.47852	+	0.0717835i
$445$	11.1452	+	11.1452i	0.528334	+	0.528334i
$446$	−36.6645	+	0.889524i	−1.73611	+	0.0421202i
$447$	−59.2417			−2.80204
$448$	−4.67514	−	31.8959i	−0.220880	−	1.50694i
$449$	−8.68234			−0.409745			−0.204873	−	0.978789i	$-0.565678\pi$
$449$	−8.68234			−0.409745			−0.204873	+	0.978789i	$0.565678\pi$
$450$	−15.9724	+	0.387509i	−0.752946	+	0.0182674i
$451$	−1.74161	−	1.74161i	−0.0820091	−	0.0820091i
$452$	−9.40766	+	0.456751i	−0.442499	+	0.0214837i
$453$	−24.2051	+	24.2051i	−1.13726	+	1.13726i
$454$	22.5020	+	21.4360i	1.05607	+	1.00604i
$455$		−	37.5857i		−	1.76204i
$456$	0.549694	+	7.54059i	0.0257418	+	0.353121i
$457$		−	25.4118i		−	1.18871i	−0.804202	−	0.594356i	$-0.797407\pi$
$457$		−	25.4118i		−	1.18871i	0.804202	−	0.594356i	$-0.202593\pi$
$458$	−10.9441	+	11.4883i	−0.511384	+	0.536814i
$459$	1.31654	−	1.31654i	0.0614507	−	0.0614507i
$460$	2.01220	+	1.82586i	0.0938191	+	0.0851309i
$461$	−4.47785	−	4.47785i	−0.208554	−	0.208554i	0.595098	−	0.803653i	$-0.297113\pi$
$461$	−4.47785	−	4.47785i	−0.208554	−	0.208554i	−0.803653	+	0.595098i	$0.797113\pi$
$462$	0.288578	+	11.8947i	0.0134259	+	0.553389i
$463$	−14.9185			−0.693320			−0.346660	−	0.937991i	$-0.612684\pi$
$463$	−14.9185			−0.693320			−0.346660	+	0.937991i	$0.612684\pi$
$464$	27.6987	+	22.7851i	1.28588	+	1.05777i
$465$	30.2607			1.40331
$466$	0.447950	+	18.4637i	0.0207509	+	0.855313i
$467$	21.1197	+	21.1197i	0.977301	+	0.977301i	0.999748	−	0.0224468i	$-0.00714563\pi$
$467$	21.1197	+	21.1197i	0.977301	+	0.977301i	−0.0224468	+	0.999748i	$0.507146\pi$
$468$	34.4551	−	37.9715i	1.59269	−	1.75523i
$469$	−37.5639	+	37.5639i	−1.73454	+	1.73454i
$470$	−18.3822	+	19.2963i	−0.847907	+	0.890072i
$471$		−	50.3606i		−	2.32050i
$472$	−10.2587	+	11.8720i	−0.472194	+	0.546452i
$473$			4.80095i			0.220748i
$474$	4.77224	+	4.54617i	0.219196	+	0.208812i
$475$	1.92712	−	1.92712i	0.0884223	−	0.0884223i
$476$	−0.237674	−	4.89535i	−0.0108938	−	0.224378i
$477$	1.06760	+	1.06760i	0.0488822	+	0.0488822i
$478$	5.48760	−	0.133136i	0.250997	−	0.00608948i
$479$	27.6920			1.26528			0.632641	−	0.774446i	$-0.281971\pi$
$479$	27.6920			1.26528			0.632641	+	0.774446i	$0.281971\pi$
$480$	22.6382	−	2.75915i	1.03329	−	0.125937i
$481$	−36.0822			−1.64521
$482$	−30.7136	+	0.745148i	−1.39897	+	0.0339406i
$483$	6.86084	+	6.86084i	0.312179	+	0.312179i
$484$	1.00769	+	20.7554i	0.0458043	+	0.943427i
$485$	3.72768	−	3.72768i	0.169265	−	0.169265i
$486$	−21.0436	−	20.0467i	−0.954556	−	0.909335i
$487$			35.2062i			1.59534i	0.603091	+	0.797672i	$0.293935\pi$
$487$			35.2062i			1.59534i	−0.603091	+	0.797672i	$0.706065\pi$
$488$	14.3321	+	12.3845i	0.648785	+	0.560621i
$489$		−	9.48384i		−	0.428874i
$490$	13.5900	−	14.2659i	0.613936	−	0.644466i
$491$	21.0214	−	21.0214i	0.948681	−	0.948681i	−0.0500647	−	0.998746i	$-0.515943\pi$
$491$	21.0214	−	21.0214i	0.948681	−	0.948681i	0.998746	+	0.0500647i	$0.0159428\pi$
$492$	−11.3285	+	12.4847i	−0.510729	+	0.562853i
$493$	3.85580	+	3.85580i	0.173656	+	0.173656i
$494$	0.212131	+	8.74364i	0.00954423	+	0.393395i
$495$	−4.88325			−0.219486
$496$	29.8830	−	2.90855i	1.34178	−	0.130598i
$497$	−1.08927			−0.0488605
$498$	0.360070	+	14.8414i	0.0161351	+	0.665059i
$499$	−0.953966	−	0.953966i	−0.0427054	−	0.0427054i	0.685432	−	0.728137i	$-0.259614\pi$
$499$	−0.953966	−	0.953966i	−0.0427054	−	0.0427054i	−0.728137	+	0.685432i	$0.759614\pi$
$500$	−17.2571	−	15.6590i	−0.771762	−	0.700292i
$501$	25.0029	−	25.0029i	1.11705	−	1.11705i
$502$	−28.9521	+	30.3919i	−1.29220	+	1.35646i
$503$			4.28185i			0.190918i	0.995433	+	0.0954592i	$0.0304320\pi$
$503$			4.28185i			0.190918i	−0.995433	+	0.0954592i	$0.969568\pi$
$504$	47.1210	−	3.43503i	2.09894	−	0.153008i
$505$		−	26.2506i		−	1.16814i
$506$	−0.720437	−	0.686307i	−0.0320273	−	0.0305101i
$507$	47.7228	−	47.7228i	2.11944	−	2.11944i
$508$	−31.3512	+	1.52213i	−1.39098	+	0.0675335i
$509$	−21.8211	−	21.8211i	−0.967202	−	0.967202i	0.0322767	−	0.999479i	$-0.489724\pi$
$509$	−21.8211	−	21.8211i	−0.967202	−	0.967202i	−0.999479	+	0.0322767i	$0.989724\pi$
$510$	3.46625	−	0.0840953i	0.153488	−	0.00372380i
$511$	49.6485			2.19632
$512$	22.0904	−	4.90060i	0.976265	−	0.216578i
$513$	−3.06157			−0.135171
$514$	4.31807	−	0.104762i	0.190462	−	0.00462083i
$515$	5.94989	+	5.94989i	0.262184	+	0.262184i
$516$	32.8220	−	1.59354i	1.44491	−	0.0701517i
$517$	6.90100	−	6.90100i	0.303506	−	0.303506i
$518$	−24.0731	−	22.9327i	−1.05771	−	1.00760i
$519$		−	9.99598i		−	0.438775i
$520$	26.3121	−	1.91810i	1.15386	−	0.0841143i
$521$			32.0921i			1.40598i	0.711199	+	0.702991i	$0.248152\pi$
$521$			32.0921i			1.40598i	−0.711199	+	0.702991i	$0.751848\pi$
$522$	−36.2568	+	38.0598i	−1.58692	+	1.66583i
$523$	23.2846	−	23.2846i	1.01816	−	1.01816i	0.0183319	−	0.999832i	$-0.494164\pi$
$523$	23.2846	−	23.2846i	1.01816	−	1.01816i	0.999832	−	0.0183319i	$-0.00583556\pi$
$524$	2.55709	+	2.32029i	0.111707	+	0.101362i
$525$	−20.7578	−	20.7578i	−0.905943	−	0.905943i
$526$	0.665326	+	27.4235i	0.0290096	+	1.19572i
$527$	4.56474			0.198843
$528$	−8.31221	+	0.809038i	−0.361742	+	0.0352089i
$529$	22.1886			0.964721
$530$	0.0188417	+	0.776621i	0.000818433	+	0.0337342i
$531$	−16.2603	−	16.2603i	−0.705639	−	0.705639i
$532$	−5.41564	+	5.96835i	−0.234798	+	0.258761i
$533$	−13.7900	+	13.7900i	−0.597309	+	0.597309i
$534$	−27.2498	+	28.6049i	−1.17922	+	1.23786i
$535$			8.62729i			0.372990i
$536$	−28.2138	−	24.3799i	−1.21865	−	1.05305i
$537$			21.1036i			0.910689i
$538$	17.6351	+	16.7997i	0.760304	+	0.724287i
$539$	−5.10195	+	5.10195i	−0.219756	+	0.219756i
$540$	0.447834	+	9.22399i	0.0192717	+	0.396938i
$541$	−12.1744	−	12.1744i	−0.523420	−	0.523420i	0.395183	−	0.918602i	$-0.370681\pi$
$541$	−12.1744	−	12.1744i	−0.523420	−	0.523420i	−0.918602	+	0.395183i	$0.870681\pi$
$542$	−26.4991	+	0.642900i	−1.13823	+	0.0276149i
$543$	−46.6789			−2.00318
$544$	3.41490	−	0.416209i	0.146413	−	0.0178448i
$545$	−7.78931			−0.333658
$546$	94.1812	−	2.28495i	4.03058	−	0.0977868i
$547$	−10.7020	−	10.7020i	−0.457584	−	0.457584i	0.440277	−	0.897862i	$-0.354880\pi$
$547$	−10.7020	−	10.7020i	−0.457584	−	0.457584i	−0.897862	+	0.440277i	$0.854880\pi$
$548$	−0.0486053	−	1.00112i	−0.00207631	−	0.0427657i
$549$	−19.6299	+	19.6299i	−0.837782	+	0.837782i
$550$	2.17971	+	2.07645i	0.0929432	+	0.0885402i
$551$		−	8.96653i		−	0.381987i
$552$	−4.45285	+	5.15311i	−0.189526	+	0.219331i
$553$			7.02569i			0.298763i
$554$	6.68547	−	7.01793i	0.284038	−	0.298163i
$555$	16.6319	−	16.6319i	0.705984	−	0.705984i
$556$	17.1483	−	18.8984i	0.727251	−	0.801472i
$557$	10.6604	+	10.6604i	0.451695	+	0.451695i	0.895917	−	0.444222i	$-0.146520\pi$
$557$	10.6604	+	10.6604i	0.451695	+	0.451695i	−0.444222	+	0.895917i	$0.646520\pi$
$558$	1.06726	+	43.9904i	0.0451807	+	1.86226i
$559$	38.0137			1.60781
$560$	18.7738	+	15.4434i	0.793339	+	0.652603i
$561$	−1.26972			−0.0536077
$562$	−0.249477	−	10.2830i	−0.0105236	−	0.433761i
$563$	12.8332	+	12.8332i	0.540854	+	0.540854i	0.923779	−	0.382926i	$-0.125083\pi$
$563$	12.8332	+	12.8332i	0.540854	+	0.540854i	−0.382926	+	0.923779i	$0.625083\pi$
$564$	−49.4697	−	44.8885i	−2.08305	−	1.89015i
$565$	5.02232	−	5.02232i	0.211291	−	0.211291i
$566$	−5.54567	+	5.82145i	−0.233102	+	0.244694i
$567$		−	17.1346i		−	0.719587i
$568$	−0.0555886	−	0.762553i	−0.00233244	−	0.0319960i
$569$			15.4815i			0.649020i	0.945882	+	0.324510i	$0.105199\pi$
$569$			15.4815i			0.649020i	−0.945882	+	0.324510i	$0.894801\pi$
$570$	−4.12811	−	3.93255i	−0.172907	−	0.164716i
$571$	17.8262	−	17.8262i	0.746004	−	0.746004i	−0.227722	−	0.973726i	$-0.573128\pi$
$571$	17.8262	−	17.8262i	0.746004	−	0.746004i	0.973726	+	0.227722i	$0.0731277\pi$
$572$	−9.64976	+	0.468505i	−0.403477	+	0.0195892i
$573$	−3.80874	−	3.80874i	−0.159112	−	0.159112i
$574$	−17.9647	+	0.435845i	−0.749833	+	0.0181918i
$575$	2.45496			0.102379
$576$	4.80943	+	32.8121i	0.200393	+	1.36717i
$577$	−5.29423			−0.220401			−0.110201	−	0.993909i	$-0.535149\pi$
$577$	−5.29423			−0.220401			−0.110201	+	0.993909i	$0.535149\pi$
$578$	−23.5117	+	0.570421i	−0.977957	+	0.0237264i
$579$	−4.75251	−	4.75251i	−0.197508	−	0.197508i
$580$	−27.0147	+	1.31159i	−1.12172	+	0.0544607i
$581$	−11.1898	+	11.1898i	−0.464231	+	0.464231i
$582$	9.56734	+	9.11411i	0.396579	+	0.377792i
$583$		−	0.284484i		−	0.0117821i
$584$	2.53370	+	34.7568i	0.104845	+	1.43824i
$585$			38.6653i			1.59861i
$586$	18.3090	−	19.2194i	0.756336	−	0.793948i
$587$	−27.4763	+	27.4763i	−1.13407	+	1.13407i	−0.144574	+	0.989494i	$0.546181\pi$
$587$	−27.4763	+	27.4763i	−1.13407	+	1.13407i	−0.989494	+	0.144574i	$0.953819\pi$
$588$	36.5732	+	33.1863i	1.50825	+	1.36858i
$589$	−5.30757	−	5.30757i	−0.218695	−	0.218695i
$590$	−0.286973	−	11.8285i	−0.0118145	−	0.486971i
$591$	−33.0066			−1.35771
$592$	14.8257	−	18.0229i	0.609331	−	0.740735i
$593$	−26.3502			−1.08207			−0.541036	−	0.841000i	$-0.681968\pi$
$593$	−26.3502			−1.08207			−0.541036	+	0.841000i	$0.681968\pi$
$594$	−0.0820230	−	3.38083i	−0.00336544	−	0.138717i
$595$	2.61341	+	2.61341i	0.107139	+	0.107139i
$596$	29.7856	−	32.8254i	1.22006	−	1.34458i
$597$	−6.82744	+	6.82744i	−0.279428	+	0.279428i
$598$	−5.43415	+	5.70438i	−0.222219	+	0.233269i
$599$			18.7420i			0.765776i	0.923795	+	0.382888i	$0.125070\pi$
$599$			18.7420i			0.765776i	−0.923795	+	0.382888i	$0.874930\pi$
$600$	13.4723	−	15.5909i	0.550004	−	0.636497i
$601$		−	6.35121i		−	0.259071i	−0.991575	−	0.129536i	$-0.958651\pi$
$601$		−	6.35121i		−	0.259071i	0.991575	−	0.129536i	$-0.0413486\pi$
$602$	25.3617	+	24.1603i	1.03367	+	0.984699i
$603$	38.6429	−	38.6429i	1.57366	−	1.57366i
$604$	−1.24202	−	25.5817i	−0.0505370	−	1.04091i
$605$	−11.0804	−	11.0804i	−0.450481	−	0.450481i
$606$	65.7782	−	1.59586i	2.67206	−	0.0648273i
$607$	21.4722			0.871531			0.435765	−	0.900060i	$-0.356478\pi$
$607$	21.4722			0.871531			0.435765	+	0.900060i	$0.356478\pi$
$608$	−4.45456	−	3.48668i	−0.180656	−	0.141403i
$609$	−96.5820			−3.91370
$610$	−14.2796	+	0.346441i	−0.578165	+	0.0140270i
$611$	−54.6418	−	54.6418i	−2.21057	−	2.21057i
$612$	0.244501	+	5.03597i	0.00988337	+	0.203567i
$613$	29.5806	−	29.5806i	1.19475	−	1.19475i	0.219033	−	0.975717i	$-0.429710\pi$
$613$	29.5806	−	29.5806i	1.19475	−	1.19475i	0.975717	−	0.219033i	$-0.0702904\pi$
$614$	20.9912	+	19.9968i	0.847137	+	0.807006i
$615$		−	12.7128i		−	0.512629i
$616$	−6.73582	−	5.82049i	−0.271394	−	0.234514i
$617$			17.8609i			0.719051i	0.933135	+	0.359525i	$0.117061\pi$
$617$			17.8609i			0.719051i	−0.933135	+	0.359525i	$0.882939\pi$
$618$	−14.5474	+	15.2708i	−0.585181	+	0.614281i
$619$	−3.98730	+	3.98730i	−0.160263	+	0.160263i	−0.782683	−	0.622420i	$-0.786150\pi$
$619$	−3.98730	+	3.98730i	−0.160263	+	0.160263i	0.622420	+	0.782683i	$0.286150\pi$
$620$	−15.2145	+	16.7672i	−0.611028	+	0.673388i
$621$	−1.95006	−	1.95006i	−0.0782534	−	0.0782534i
$622$	−0.178448	−	7.35530i	−0.00715513	−	0.294921i
$623$	−42.1122			−1.68719
$624$	6.40592	+	65.8156i	0.256442	+	2.63473i
$625$	3.94565			0.157826
$626$	0.885462	+	36.4971i	0.0353902	+	1.45872i
$627$	1.47635	+	1.47635i	0.0589597	+	0.0589597i
$628$	27.9044	+	25.3203i	1.11351	+	1.01039i
$629$	2.50887	−	2.50887i	0.100035	−	0.100035i
$630$	−24.5744	+	25.7964i	−0.979067	+	1.02775i
$631$		−	30.3473i		−	1.20811i	−0.796944	−	0.604053i	$-0.793552\pi$
$631$		−	30.3473i		−	1.20811i	0.796944	−	0.604053i	$-0.206448\pi$
$632$	−4.91838	+	0.358540i	−0.195643	+	0.0142620i
$633$		−	13.2910i		−	0.528269i
$634$	20.0110	+	19.0630i	0.794738	+	0.757089i
$635$	16.7370	−	16.7370i	0.664186	−	0.664186i
$636$	−1.94489	+	0.0944263i	−0.0771199	+	0.00374425i
$637$	40.3969	+	40.3969i	1.60059	+	1.60059i
$638$	9.90157	−	0.240224i	0.392007	−	0.00951055i
$639$	1.12056			0.0443287
$640$	−9.85319	+	13.9309i	−0.389481	+	0.550666i
$641$	−26.6647			−1.05319			−0.526595	−	0.850116i	$-0.676532\pi$
$641$	−26.6647			−1.05319			−0.526595	+	0.850116i	$0.676532\pi$
$642$	−21.6180	+	0.524479i	−0.853196	+	0.0206995i
$643$	−17.4776	−	17.4776i	−0.689250	−	0.689250i	0.272816	−	0.962066i	$-0.412045\pi$
$643$	−17.4776	−	17.4776i	−0.689250	−	0.689250i	−0.962066	+	0.272816i	$0.912045\pi$
$644$	−7.25103	+	0.352044i	−0.285731	+	0.0138725i
$645$	−17.5222	+	17.5222i	−0.689935	+	0.689935i
$646$	−0.622713	−	0.593213i	−0.0245003	−	0.0233396i
$647$		−	21.9528i		−	0.863055i	−0.902100	−	0.431528i	$-0.857975\pi$
$647$		−	21.9528i		−	0.863055i	0.902100	−	0.431528i	$-0.142025\pi$
$648$	11.9952	−	0.874428i	0.471217	−	0.0343508i
$649$			4.33289i			0.170081i
$650$	16.4412	−	17.2588i	0.644878	−	0.676947i
$651$	−57.1700	+	57.1700i	−2.24067	+	2.24067i
$652$	5.25492	+	4.76829i	0.205799	+	0.186741i
$653$	−20.4948	−	20.4948i	−0.802024	−	0.802024i	0.181387	−	0.983412i	$-0.441941\pi$
$653$	−20.4948	−	20.4948i	−0.802024	−	0.802024i	−0.983412	+	0.181387i	$0.941941\pi$
$654$	−0.473536	−	19.5183i	−0.0185167	−	0.763224i
$655$	−2.60381			−0.101739
$656$	−1.22191	−	12.5541i	−0.0477074	−	0.490155i
$657$	−51.0746			−1.99261
$658$	−1.72701	−	71.1840i	−0.0673258	−	2.77504i
$659$	36.1034	+	36.1034i	1.40639	+	1.40639i	0.777482	+	0.628905i	$0.216496\pi$
$659$	36.1034	+	36.1034i	1.40639	+	1.40639i	0.628905	+	0.777482i	$0.283504\pi$
$660$	4.23204	−	4.66395i	0.164732	−	0.181544i
$661$	−6.46495	+	6.46495i	−0.251457	+	0.251457i	−0.821568	−	0.570111i	$-0.806900\pi$
$661$	−6.46495	+	6.46495i	−0.251457	+	0.251457i	0.570111	+	0.821568i	$0.306900\pi$
$662$	−17.4218	+	18.2882i	−0.677119	+	0.710792i
$663$			10.0536i			0.390449i
$664$	−8.40454	−	7.26245i	−0.326159	−	0.281838i
$665$		−	6.07739i		−	0.235671i
$666$	24.7646	+	23.5914i	0.959608	+	0.914148i
$667$	5.71123	−	5.71123i	0.221140	−	0.221140i
$668$	1.28295	+	26.4249i	0.0496389	+	1.02241i
$669$	49.0179	+	49.0179i	1.89514	+	1.89514i
$670$	28.1105	−	0.681994i	1.08600	−	0.0263477i
$671$	5.23077			0.201932
$672$	−37.5564	+	47.9818i	−1.44877	+	1.85094i
$673$	4.15503			0.160165			0.0800823	−	0.996788i	$-0.474482\pi$
$673$	4.15503			0.160165			0.0800823	+	0.996788i	$0.474482\pi$
$674$	−15.7654	+	0.382487i	−0.607259	+	0.0147328i
$675$	5.90000	+	5.90000i	0.227091	+	0.227091i
$676$	2.44876	+	50.4369i	0.0941830	+	1.93988i
$677$	−2.06257	+	2.06257i	−0.0792710	+	0.0792710i	−0.745631	−	0.666360i	$-0.767852\pi$
$677$	−2.06257	+	2.06257i	−0.0792710	+	0.0792710i	0.666360	+	0.745631i	$0.267852\pi$
$678$	12.8901	+	12.2795i	0.495042	+	0.471590i
$679$			14.0850i			0.540534i
$680$	−1.69616	+	1.96290i	−0.0650449	+	0.0752739i
$681$		−	58.7422i		−	2.25100i
$682$	5.71886	−	6.00325i	0.218986	−	0.229876i
$683$	10.6287	−	10.6287i	0.406695	−	0.406695i	−0.473890	−	0.880584i	$-0.657150\pi$
$683$	10.6287	−	10.6287i	0.406695	−	0.406695i	0.880584	+	0.473890i	$0.157150\pi$
$684$	5.57120	−	6.13978i	0.213020	−	0.234760i
$685$	0.534452	+	0.534452i	0.0204204	+	0.0204204i
$686$	0.309271	+	12.7476i	0.0118080	+	0.486704i
$687$	29.9906			1.14421
$688$	−15.6193	+	18.9876i	−0.595479	+	0.723896i
$689$	−2.25253			−0.0858145
$690$	−0.124563	−	5.13423i	−0.00474202	−	0.195457i
$691$	16.9758	+	16.9758i	0.645790	+	0.645790i	0.951973	−	0.306183i	$-0.0990519\pi$
$691$	16.9758	+	16.9758i	0.645790	+	0.645790i	−0.306183	+	0.951973i	$0.599052\pi$
$692$	5.53869	+	5.02578i	0.210550	+	0.191051i
$693$	9.22567	−	9.22567i	0.350454	−	0.350454i
$694$	−14.3384	+	15.0514i	−0.544277	+	0.571343i
$695$			19.2437i			0.729956i
$696$	−4.92885	−	67.6129i	−0.186827	−	2.56286i
$697$		−	1.91769i		−	0.0726375i
$698$	−15.8599	−	15.1085i	−0.600305	−	0.571866i
$699$	24.6847	−	24.6847i	0.933659	−	0.933659i
$700$	21.9383	−	1.06512i	0.829189	−	0.0402579i
$701$	−8.20712	−	8.20712i	−0.309979	−	0.309979i	0.534922	−	0.844901i	$-0.320341\pi$
$701$	−8.20712	−	8.20712i	−0.309979	−	0.309979i	−0.844901	+	0.534922i	$0.820341\pi$
$702$	−26.7692	+	0.649454i	−1.01034	+	0.0245120i
$703$	−5.83429			−0.220045
$704$	3.73093	−	5.01250i	0.140615	−	0.188916i
$705$	50.3735			1.89718
$706$	39.9529	−	0.969305i	1.50365	−	0.0364803i
$707$	49.5940	+	49.5940i	1.86517	+	1.86517i
$708$	29.6221	−	1.43818i	1.11327	−	0.0540501i
$709$	2.94396	−	2.94396i	0.110563	−	0.110563i	−0.649661	−	0.760224i	$-0.725089\pi$
$709$	2.94396	−	2.94396i	0.110563	−	0.110563i	0.760224	+	0.649661i	$0.225089\pi$
$710$	0.417460	+	0.397684i	0.0156670	+	0.0149248i
$711$		−	7.22750i		−	0.271052i
$712$	−2.14910	−	29.4809i	−0.0805409	−	1.10484i
$713$		−	6.76132i		−	0.253213i
$714$	−6.38973	+	6.70748i	−0.239130	+	0.251021i
$715$	5.15157	−	5.15157i	0.192658	−	0.192658i
$716$	−11.6934	−	10.6105i	−0.437001	−	0.396532i
$717$	−7.33654	−	7.33654i	−0.273988	−	0.273988i
$718$	0.228038	+	9.39928i	0.00851029	+	0.350778i
$719$	11.3521			0.423362			0.211681	−	0.977339i	$-0.432106\pi$
$719$	11.3521			0.423362			0.211681	+	0.977339i	$0.432106\pi$
$720$	−19.3131	−	15.8870i	−0.719756	−	0.592074i
$721$	−22.4816			−0.837260
$722$	0.0343004	+	1.41380i	0.00127653	+	0.0526161i
$723$	41.0620	+	41.0620i	1.52711	+	1.52711i
$724$	23.4692	−	25.8644i	0.872226	−	0.961243i
$725$	−17.2796	+	17.2796i	−0.641747	+	0.641747i
$726$	27.0913	−	28.4385i	1.00545	−	1.05545i
$727$		−	7.72299i		−	0.286430i	−0.989692	−	0.143215i	$-0.954256\pi$
$727$		−	7.72299i		−	0.286430i	0.989692	−	0.143215i	$-0.0457440\pi$
$728$	−46.0864	+	53.3339i	−1.70807	+	1.97669i
$729$			42.1782i			1.56216i
$730$	−19.0276	−	18.1262i	−0.704244	−	0.670882i
$731$	−2.64317	+	2.64317i	−0.0977611	+	0.0977611i
$732$	−1.73620	−	35.7604i	−0.0641719	−	1.32174i
$733$	25.6965	+	25.6965i	0.949122	+	0.949122i	0.998767	−	0.0496448i	$-0.0158089\pi$
$733$	25.6965	+	25.6965i	0.949122	+	0.949122i	−0.0496448	+	0.998767i	$0.515809\pi$
$734$	−12.4985	+	0.303228i	−0.461327	+	0.0111923i
$735$	−37.2414			−1.37367
$736$	−0.616491	−	5.05817i	−0.0227242	−	0.186447i
$737$	−10.2972			−0.379300
$738$	18.4807	−	0.448365i	0.680286	−	0.0165045i
$739$	−14.2617	−	14.2617i	−0.524627	−	0.524627i	0.394338	−	0.918965i	$-0.370974\pi$
$739$	−14.2617	−	14.2617i	−0.524627	−	0.524627i	−0.918965	+	0.394338i	$0.870974\pi$
$740$	0.853417	+	17.5778i	0.0313722	+	0.646172i
$741$	11.6896	−	11.6896i	0.429430	−	0.429430i
$742$	−1.50283	−	1.43163i	−0.0551705	−	0.0525569i
$743$		−	19.0364i		−	0.698379i	−0.937052	−	0.349190i	$-0.886457\pi$
$743$		−	19.0364i		−	0.698379i	0.937052	−	0.349190i	$-0.113543\pi$
$744$	−42.9398	−	37.1047i	−1.57425	−	1.36032i
$745$			33.4251i			1.22460i
$746$	−11.9498	+	12.5440i	−0.437512	+	0.459269i
$747$	11.5112	−	11.5112i	0.421173	−	0.421173i
$748$	0.638391	−	0.703543i	0.0233419	−	0.0257241i
$749$	−16.2991	−	16.2991i	−0.595556	−	0.595556i
$750$	1.06828	+	44.0325i	0.0390081	+	1.60784i
$751$	−30.0230			−1.09556			−0.547778	−	0.836624i	$-0.684526\pi$
$751$	−30.0230			−1.09556			−0.547778	+	0.836624i	$0.684526\pi$
$752$	49.7447	−	4.84172i	1.81400	−	0.176559i
$753$	79.3389			2.89127
$754$	−1.90208	−	78.4001i	−0.0692697	−	2.85516i
$755$	13.6569	+	13.6569i	0.497027	+	0.497027i
$756$	−18.2725	−	16.5803i	−0.664564	−	0.603021i
$757$	18.8213	−	18.8213i	0.684071	−	0.684071i	−0.276844	−	0.960915i	$-0.589288\pi$
$757$	18.8213	−	18.8213i	0.684071	−	0.684071i	0.960915	+	0.276844i	$0.0892884\pi$
$758$	11.8394	−	12.4282i	0.430026	−	0.451411i
$759$			1.88072i			0.0682658i
$760$	4.25452	−	0.310146i	0.154328	−	0.0112502i
$761$		−	0.500291i		−	0.0181355i	−0.999959	−	0.00906777i	$-0.997114\pi$
$761$		−	0.500291i		−	0.0181355i	0.999959	−	0.00906777i	$-0.00288640\pi$
$762$	42.9565	+	40.9215i	1.55615	+	1.48243i
$763$	14.7159	−	14.7159i	0.532753	−	0.532753i
$764$	4.02535	−	0.195434i	0.145632	−	0.00707057i
$765$	−2.68847	−	2.68847i	−0.0972020	−	0.0972020i
$766$	−41.6921	+	1.01150i	−1.50640	+	0.0365470i
$767$	34.3076			1.23878
$768$	−35.5066	−	23.8430i	−1.28123	−	0.860359i
$769$	−6.22678			−0.224543			−0.112272	−	0.993678i	$-0.535813\pi$
$769$	−6.22678			−0.224543			−0.112272	+	0.993678i	$0.535813\pi$
$770$	6.71115	−	0.162820i	0.241853	−	0.00586764i
$771$	−5.77297	−	5.77297i	−0.207908	−	0.207908i
$772$	5.02280	−	0.243862i	0.180775	−	0.00877677i
$773$	−22.7785	+	22.7785i	−0.819287	+	0.819287i	−0.986005	−	0.166718i	$-0.946683\pi$
$773$	−22.7785	+	22.7785i	−0.819287	+	0.819287i	0.166718	+	0.986005i	$0.446683\pi$
$774$	−26.0902	−	24.8542i	−0.937793	−	0.893367i
$775$			20.4566i			0.734824i
$776$	−9.86032	+	0.718798i	−0.353965	+	0.0258033i
$777$			62.8435i			2.25450i
$778$	−13.1631	+	13.8177i	−0.471920	+	0.495388i
$779$	−2.22976	+	2.22976i	−0.0798893	+	0.0798893i
$780$	−36.9289	−	33.5091i	−1.32227	−	1.19982i
$781$	−0.149298	−	0.149298i	−0.00534229	−	0.00534229i
$782$	−0.0187899	−	0.774484i	−0.000671925	−	0.0276955i
$783$	27.4516			0.981041
$784$	−36.7765	+	3.57951i	−1.31345	+	0.127840i
$785$	−28.4143			−1.01415
$786$	−0.158294	−	6.52456i	−0.00564615	−	0.232723i
$787$	15.6427	+	15.6427i	0.557601	+	0.557601i	0.928624	−	0.371023i	$-0.120993\pi$
$787$	15.6427	+	15.6427i	0.557601	+	0.557601i	−0.371023	+	0.928624i	$0.620993\pi$
$788$	16.5951	−	18.2887i	0.591175	−	0.651508i
$789$	36.6633	−	36.6633i	1.30525	−	1.30525i
$790$	2.56502	−	2.69258i	0.0912593	−	0.0957976i
$791$			18.9768i			0.674738i
$792$	6.92930	+	5.98768i	0.246222	+	0.212763i
$793$		−	41.4169i		−	1.47076i
$794$	−23.4953	−	22.3822i	−0.833817	−	0.794316i
$795$	1.03829	−	1.03829i	0.0368243	−	0.0368243i
$796$	−0.350330	−	7.21573i	−0.0124171	−	0.255755i
$797$	−31.3227	−	31.3227i	−1.10951	−	1.10951i	−0.993215	−	0.116291i	$-0.962900\pi$
$797$	−31.3227	−	31.3227i	−1.10951	−	1.10951i	−0.116291	−	0.993215i	$-0.537100\pi$
$798$	15.2286	−	0.369463i	0.539086	−	0.0130789i
$799$	7.59870			0.268823
$800$	1.86522	+	15.3037i	0.0659455	+	0.541067i
$801$	43.3218			1.53070
$802$	15.3103	−	0.371445i	0.540624	−	0.0131162i
$803$	6.80491	+	6.80491i	0.240140	+	0.240140i
$804$	3.41785	+	70.3971i	0.120538	+	2.48271i
$805$	3.87100	−	3.87100i	0.136435	−	0.136435i
$806$	−47.5334	−	45.2816i	−1.67429	−	1.59498i
$807$		−	46.0370i		−	1.62058i
$808$	−32.1877	+	37.2495i	−1.13236	+	1.31043i
$809$		−	42.4127i		−	1.49115i	−0.666421	−	0.745575i	$-0.732175\pi$
$809$		−	42.4127i		−	1.49115i	0.666421	−	0.745575i	$-0.267825\pi$
$810$	−6.25571	+	6.56680i	−0.219803	+	0.230734i
$811$	−14.3351	+	14.3351i	−0.503374	+	0.503374i	−0.912485	−	0.409111i	$-0.865839\pi$
$811$	−14.3351	+	14.3351i	−0.503374	+	0.503374i	0.409111	+	0.912485i	$0.365839\pi$
$812$	48.5595	−	53.5153i	1.70410	−	1.87802i
$813$	35.4275	+	35.4275i	1.24250	+	1.24250i
$814$	−0.156308	−	6.44270i	−0.00547858	−	0.225817i
$815$	−5.35094			−0.187435
$816$	−5.02171	−	4.13087i	−0.175795	−	0.144610i
$817$	6.14660			0.215042
$818$	−0.665275	−	27.4214i	−0.0232608	−	0.958765i
$819$	−73.0484	−	73.0484i	−2.55252	−	2.55252i
$820$	7.04405	+	6.39173i	0.245989	+	0.223209i
$821$	0.414946	−	0.414946i	0.0144817	−	0.0144817i	−0.699829	−	0.714311i	$-0.746740\pi$
$821$	0.414946	−	0.414946i	0.0144817	−	0.0144817i	0.714311	+	0.699829i	$0.246740\pi$
$822$	−1.30672	+	1.37171i	−0.0455772	+	0.0478437i
$823$			24.2381i			0.844888i	0.906389	+	0.422444i	$0.138828\pi$
$823$			24.2381i			0.844888i	−0.906389	+	0.422444i	$0.861172\pi$
$824$	−1.14730	−	15.7384i	−0.0399681	−	0.548274i
$825$		−	5.69020i		−	0.198107i
$826$	22.8891	+	21.8048i	0.796414	+	0.758685i
$827$	−13.1438	+	13.1438i	−0.457056	+	0.457056i	−0.897688	−	0.440632i	$-0.854754\pi$
$827$	−13.1438	+	13.1438i	−0.457056	+	0.457056i	0.440632	+	0.897688i	$0.354754\pi$
$828$	7.45931	−	0.362157i	0.259229	−	0.0125858i
$829$	13.6134	+	13.6134i	0.472814	+	0.472814i	0.902824	−	0.430010i	$-0.141490\pi$
$829$	13.6134	+	13.6134i	0.472814	+	0.472814i	−0.430010	+	0.902824i	$0.641490\pi$
$830$	8.37376	−	0.203157i	0.290657	−	0.00705169i
$831$	−18.3205			−0.635531
$832$	−39.6887	−	29.5413i	−1.37596	−	1.02416i
$833$	−5.61776			−0.194644
$834$	−48.2204	+	1.16988i	−1.66974	+	0.0405098i
$835$	−14.1070	−	14.1070i	−0.488194	−	0.488194i
$836$	−1.56031	+	0.0757546i	−0.0539645	+	0.00262003i
$837$	16.2495	−	16.2495i	0.561664	−	0.561664i
$838$	10.1528	+	9.67184i	0.350723	+	0.334108i
$839$		−	29.7619i		−	1.02750i	−0.857941	−	0.513748i	$-0.828257\pi$
$839$		−	29.7619i		−	1.02750i	0.857941	−	0.513748i	$-0.171743\pi$
$840$	−3.34071	−	45.8271i	−0.115265	−	1.58119i
$841$			51.3986i			1.77237i
$842$	5.78681	−	6.07458i	0.199427	−	0.209344i
$843$	−13.7476	+	13.7476i	−0.473493	+	0.473493i
$844$	7.36443	+	6.68244i	0.253494	+	0.230019i
$845$	−26.9259	−	26.9259i	−0.926281	−	0.926281i
$846$	1.77662	+	73.2287i	0.0610813	+	2.51765i
$847$	41.8671			1.43857
$848$	0.925531	−	1.12512i	0.0317829	−	0.0386369i
$849$	15.1971			0.521562
$850$	0.0568496	+	2.34323i	0.00194992	+	0.0803722i
$851$	−3.71615	−	3.71615i	−0.127388	−	0.127388i
$852$	−0.971128	+	1.07024i	−0.0332703	+	0.0366657i
$853$	−2.40701	+	2.40701i	−0.0824143	+	0.0824143i	−0.747112	−	0.664698i	$-0.768560\pi$
$853$	−2.40701	+	2.40701i	−0.0824143	+	0.0824143i	0.664698	+	0.747112i	$0.268560\pi$
$854$	26.3232	−	27.6323i	0.900763	−	0.945557i
$855$			6.25196i			0.213813i
$856$	10.5785	−	12.2421i	0.361566	−	0.418426i
$857$		−	42.4913i		−	1.45148i	−0.687972	−	0.725738i	$-0.741499\pi$
$857$		−	42.4913i		−	1.45148i	0.687972	−	0.725738i	$-0.258501\pi$
$858$	13.2218	+	12.5955i	0.451386	+	0.430003i
$859$	−36.3033	+	36.3033i	−1.23865	+	1.23865i	−0.278102	+	0.960552i	$0.589705\pi$
$859$	−36.3033	+	36.3033i	−1.23865	+	1.23865i	−0.960552	+	0.278102i	$0.910295\pi$
$860$	−0.899100	−	18.5187i	−0.0306591	−	0.631482i
$861$	24.0176	+	24.0176i	0.818518	+	0.818518i
$862$	1.90846	−	0.0463014i	0.0650023	−	0.00157703i
$863$	−40.3605			−1.37389			−0.686943	−	0.726711i	$-0.741048\pi$
$863$	−40.3605			−1.37389			−0.686943	+	0.726711i	$0.741048\pi$
$864$	10.6747	−	13.6379i	0.363160	−	0.463972i
$865$	−5.63989			−0.191762
$866$	41.2136	−	0.999891i	1.40049	−	0.0339777i
$867$	31.4335	+	31.4335i	1.06754	+	1.06754i
$868$	−2.93351	−	60.4214i	−0.0995700	−	2.05083i
$869$	−0.962955	+	0.962955i	−0.0326660	+	0.0326660i
$870$	37.0148	+	35.2613i	1.25492	+	1.19547i
$871$			81.5323i			2.76262i
$872$	11.0530	+	9.55101i	0.374302	+	0.323438i
$873$		−	14.4896i		−	0.490399i
$874$	−0.878671	+	0.922366i	−0.0297215	+	0.0311995i
$875$	−33.1987	+	33.1987i	−1.12232	+	1.12232i
$876$	44.2635	−	48.7809i	1.49552	−	1.64815i
$877$	−12.7663	−	12.7663i	−0.431087	−	0.431087i	0.457911	−	0.888998i	$-0.348598\pi$
$877$	−12.7663	−	12.7663i	−0.431087	−	0.431087i	−0.888998	+	0.457911i	$0.848598\pi$
$878$	−0.149949	−	6.18060i	−0.00506052	−	0.208585i
$879$	−50.1729			−1.69229
$880$	0.456472	+	4.68988i	0.0153877	+	0.158096i
$881$	−53.9328			−1.81704			−0.908521	−	0.417839i	$-0.862788\pi$
$881$	−53.9328			−1.81704			−0.908521	+	0.417839i	$0.862788\pi$
$882$	−1.31346	−	54.1384i	−0.0442265	−	1.82293i
$883$	−34.7449	−	34.7449i	−1.16926	−	1.16926i	−0.982384	−	0.186874i	$-0.940164\pi$
$883$	−34.7449	−	34.7449i	−1.16926	−	1.16926i	−0.186874	−	0.982384i	$-0.559836\pi$
$884$	−5.57062	−	5.05474i	−0.187360	−	0.170009i
$885$	−15.8139	+	15.8139i	−0.531577	+	0.531577i
$886$	−28.2828	+	29.6893i	−0.950180	+	0.997431i
$887$			45.2215i			1.51839i	0.650864	+	0.759195i	$0.274407\pi$
$887$			45.2215i			1.51839i	−0.650864	+	0.759195i	$0.725593\pi$
$888$	−43.9940	+	3.20708i	−1.47634	+	0.107622i
$889$			63.2405i			2.12102i
$890$	16.1394	+	15.3748i	0.540993	+	0.515364i
$891$	2.34851	−	2.34851i	0.0786779	−	0.0786779i
$892$	−51.8057	+	2.51521i	−1.73458	+	0.0842156i
$893$	−8.83526	−	8.83526i	−0.295661	−	0.295661i
$894$	−83.7558	+	2.03202i	−2.80121	+	0.0679608i
$895$	11.9070			0.398007
$896$	−7.70374	−	44.9340i	−0.257364	−	1.50114i
$897$	14.8914			0.497211
$898$	−12.2751	+	0.297808i	−0.409625	+	0.00993798i
$899$	47.5905	+	47.5905i	1.58723	+	1.58723i
$900$	−22.5684	+	1.09572i	−0.752282	+	0.0365240i
$901$	0.156623	−	0.156623i	0.00521786	−	0.00521786i
$902$	−2.52202	−	2.40254i	−0.0839740	−	0.0799959i
$903$		−	66.2075i		−	2.20325i
$904$	−13.2849	+	0.968439i	−0.441848	+	0.0322098i
$905$			26.3370i			0.875471i
$906$	−33.3909	+	35.0514i	−1.10934	+	1.16451i
$907$	11.5383	−	11.5383i	0.383123	−	0.383123i	−0.489103	−	0.872226i	$-0.662676\pi$
$907$	11.5383	−	11.5383i	0.383123	−	0.383123i	0.872226	+	0.489103i	$0.162676\pi$
$908$	32.5486	+	29.5344i	1.08016	+	0.980133i
$909$	−51.0185	−	51.0185i	−1.69218	−	1.69218i
$910$	−1.28920	−	53.1386i	−0.0427367	−	1.76153i
$911$	28.5045			0.944395			0.472198	−	0.881493i	$-0.343461\pi$
$911$	28.5045			0.944395			0.472198	+	0.881493i	$0.343461\pi$
$912$	1.03580	+	10.6420i	0.0342988	+	0.352392i
$913$	−3.06739			−0.101516
$914$	−0.871634	−	35.9271i	−0.0288311	−	1.18836i
$915$	19.0909	+	19.0909i	0.631125	+	0.631125i
$916$	−15.0787	+	16.6175i	−0.498213	+	0.549059i
$917$	4.91925	−	4.91925i	0.162448	−	0.162448i
$918$	1.81616	−	1.90648i	0.0599422	−	0.0629231i
$919$			5.64101i			0.186080i	0.995662	+	0.0930399i	$0.0296584\pi$
$919$			5.64101i			0.186080i	−0.995662	+	0.0930399i	$0.970342\pi$
$920$	2.90747	+	2.51237i	0.0958563	+	0.0828304i
$921$		−	54.7982i		−	1.80566i
$922$	−6.48437	−	6.17718i	−0.213551	−	0.203435i
$923$	−1.18213	+	1.18213i	−0.0389103	+	0.0389103i
$924$	0.815983	+	16.8067i	0.0268439	+	0.552901i
$925$	11.2434	+	11.2434i	0.369680	+	0.369680i
$926$	−21.0917	+	0.511709i	−0.693116	+	0.0168158i
$927$	23.1274			0.759604
$928$	39.9419	+	31.2634i	1.31116	+	1.02627i
$929$	14.2171			0.466448			0.233224	−	0.972423i	$-0.425072\pi$
$929$	14.2171			0.466448			0.233224	+	0.972423i	$0.425072\pi$
$930$	42.7825	−	1.03795i	1.40289	−	0.0340359i
$931$	6.53196	+	6.53196i	0.214076	+	0.214076i
$932$	1.26662	+	26.0885i	0.0414896	+	0.854558i
$933$	−9.83353	+	9.83353i	−0.321935	+	0.321935i
$934$	30.5833	+	29.1345i	1.00072	+	0.953310i
$935$			0.716397i			0.0234287i
$936$	47.4102	−	54.8659i	1.54965	−	1.79335i
$937$			19.4713i			0.636101i	0.948074	+	0.318051i	$0.103028\pi$
$937$			19.4713i			0.636101i	−0.948074	+	0.318051i	$0.896972\pi$
$938$	−51.8193	+	54.3962i	−1.69196	+	1.77610i
$939$	48.7940	−	48.7940i	1.59233	−	1.59233i
$940$	−25.3268	+	27.9116i	−0.826069	+	0.910375i
$941$	38.1234	+	38.1234i	1.24279	+	1.24279i	0.958840	+	0.283947i	$0.0916441\pi$
$941$	38.1234	+	38.1234i	1.24279	+	1.24279i	0.283947	+	0.958840i	$0.408356\pi$
$942$	−1.72739	−	71.1998i	−0.0562814	−	2.31981i
$943$	−2.84049			−0.0924990
$944$	−14.0965	+	17.1364i	−0.458802	+	0.557744i
$945$	18.6063			0.605264
$946$	0.164675	+	6.78758i	0.00535404	+	0.220683i
$947$	8.23030	+	8.23030i	0.267449	+	0.267449i	0.828071	−	0.560623i	$-0.189438\pi$
$947$	8.23030	+	8.23030i	0.267449	+	0.267449i	−0.560623	+	0.828071i	$0.689438\pi$
$948$	6.90292	+	6.26367i	0.224196	+	0.203435i
$949$	53.8810	−	53.8810i	1.74905	−	1.74905i
$950$	2.65845	−	2.79066i	0.0862516	−	0.0905408i
$951$		−	52.2393i		−	1.69397i
$952$	−0.503936	−	6.91289i	−0.0163327	−	0.224048i
$953$			13.2093i			0.427890i	0.976846	+	0.213945i	$0.0686314\pi$
$953$			13.2093i			0.427890i	−0.976846	+	0.213945i	$0.931369\pi$
$954$	1.54599	+	1.47276i	0.0500534	+	0.0476822i
$955$	−2.14895	+	2.14895i	−0.0695384	+	0.0695384i
$956$	7.75379	−	0.376454i	0.250775	−	0.0121754i
$957$	−13.2377	−	13.2377i	−0.427915	−	0.427915i
$958$	39.1509	−	0.949848i	1.26491	−	0.0306882i
$959$	−2.01942			−0.0652106
$960$	31.9111	−	4.67737i	1.02993	−	0.150961i
$961$	25.3407			0.817441
$962$	−51.0130	+	1.23764i	−1.64472	+	0.0399030i
$963$	16.7673	+	16.7673i	0.540318	+	0.540318i
$964$	−43.3972	+	2.10698i	−1.39773	+	0.0678612i
$965$	−2.68144	+	2.68144i	−0.0863187	+	0.0863187i
$966$	9.93517	+	9.46451i	0.319659	+	0.304516i
$967$			9.64759i			0.310246i	0.987895	+	0.155123i	$0.0495773\pi$
$967$			9.64759i			0.310246i	−0.987895	+	0.155123i	$0.950423\pi$
$968$	2.13659	+	29.3094i	0.0686727	+	0.942039i
$969$			1.62561i			0.0522221i
$970$	5.14232	−	5.39805i	0.165110	−	0.173321i
$971$	1.09782	−	1.09782i	0.0352307	−	0.0352307i	−0.689272	−	0.724503i	$-0.742069\pi$
$971$	1.09782	−	1.09782i	0.0352307	−	0.0352307i	0.724503	+	0.689272i	$0.242069\pi$
$972$	−30.4390	−	27.6201i	−0.976330	−	0.885916i
$973$	−36.3562	−	36.3562i	−1.16552	−	1.16552i
$974$	1.20759	+	49.7744i	0.0386936	+	1.59488i
$975$	−45.0547			−1.44290
$976$	20.6875	+	17.0176i	0.662191	+	0.544721i
$977$	0.637383			0.0203917			0.0101958	−	0.999948i	$-0.496755\pi$
$977$	0.637383			0.0203917			0.0101958	+	0.999948i	$0.496755\pi$
$978$	−0.325300	−	13.4082i	−0.0104019	−	0.428748i
$979$	−5.77197	−	5.77197i	−0.184473	−	0.184473i
$980$	18.7242	−	20.6352i	0.598124	−	0.659167i
$981$	−15.1386	+	15.1386i	−0.483340	+	0.483340i
$982$	28.9989	−	30.4410i	0.925393	−	0.971412i
$983$		−	17.4766i		−	0.557418i	−0.960376	−	0.278709i	$-0.910093\pi$
$983$		−	17.4766i		−	0.557418i	0.960376	−	0.278709i	$-0.0899065\pi$
$984$	−15.5880	+	18.0394i	−0.496927	+	0.575074i
$985$			18.6229i			0.593374i
$986$	5.58357	+	5.31906i	0.177817	+	0.169393i
$987$	−95.1681	+	95.1681i	−3.02923	+	3.02923i
$988$	0.599821	+	12.3545i	0.0190828	+	0.393048i
$989$	3.91508	+	3.91508i	0.124492	+	0.124492i
$990$	−6.90392	+	0.167497i	−0.219421	+	0.00532342i
$991$	−13.2083			−0.419576			−0.209788	−	0.977747i	$-0.567277\pi$
$991$	−13.2083			−0.419576			−0.209788	+	0.977747i	$0.567277\pi$
$992$	42.1487	−	5.13710i	1.33822	−	0.163103i
$993$	47.7419			1.51504
$994$	−1.54001	+	0.0373625i	−0.0488462	+	0.00118507i
$995$	3.85215	+	3.85215i	0.122121	+	0.122121i
$996$	1.01813	+	20.9704i	0.0322608	+	0.664472i
$997$	14.8543	−	14.8543i	0.470440	−	0.470440i	−0.431617	−	0.902057i	$-0.642057\pi$
$997$	14.8543	−	14.8543i	0.470440	−	0.470440i	0.902057	+	0.431617i	$0.142057\pi$
$998$	−1.38144	−	1.31599i	−0.0437286	−	0.0416570i
$999$		−	17.8621i		−	0.565131i

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Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	304.2.k.b.77.34	✓	68
4.3	odd	2		1216.2.k.b.913.30		68
16.5	even	4	inner	304.2.k.b.229.34	yes	68
16.11	odd	4		1216.2.k.b.305.30		68

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
304.2.k.b.77.34	✓	68	1.1	even	1	trivial
304.2.k.b.229.34	yes	68	16.5	even	4	inner
1216.2.k.b.305.30		68	16.11	odd	4
1216.2.k.b.913.30		68	4.3	odd	2

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 $\F_{q}$

Introduction

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Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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Newspace parameters

Newform invariants

Embedding invariants

$q$ -expansion

Character values

Coefficient data

Twists

This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.

Label	304.2.k.b.77.34

Level	$304$
Weight	$2$
Character	304.77
Analytic conductor	$2.427$
Analytic rank	$0$
Dimension	$68$
Inner twists	$2$