LMFDB - Embedded newform 273.2.bf.b.152.4

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [273,2,Mod(152,273)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("273.152"); S:= CuspForms(chi, 2); N := Newforms(S);

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(273, base_ring=CyclotomicField(6)) chi = DirichletCharacter(H, H._module([3, 5, 4])) N = Newforms(chi, 2, names="a")

Level:	$ N $	$=$	$ 273 = 3 \cdot 7 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	273.bf (of order $6$, degree $2$, minimal)

Newform invariants

comment:select newform

sage:traces = [64] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(1)] == traces)

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

Self dual:	no
Analytic conductor:	$2.17991597518$
Analytic rank:	$0$
Dimension:	$64$
Relative dimension:	$32$ over $\Q(\zeta_{6})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			152.4
Character	$\chi$	$=$	273.152
Dual form			273.2.bf.b.185.4

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-2.07482 + 1.19790i) q^{2} +(1.22164 - 1.22784i) q^{3} +(1.86992 - 3.23879i) q^{4} +(-1.50632 + 2.60901i) q^{5} +(-1.06387 + 4.01095i) q^{6} +(-1.19447 + 2.36077i) q^{7} +4.16828i q^{8} +(-0.0151701 - 2.99996i) q^{9} -7.21764i q^{10} -2.34750i q^{11} +(-1.69233 - 6.25260i) q^{12} +(-1.38026 + 3.33090i) q^{13} +(-0.349666 - 6.32902i) q^{14} +(1.36326 + 5.03680i) q^{15} +(-1.25334 - 2.17085i) q^{16} +(-3.78738 + 6.55994i) q^{17} +(3.62512 + 6.20621i) q^{18} -1.14340i q^{19} +(5.63336 + 9.75727i) q^{20} +(1.43944 + 4.35064i) q^{21} +(2.81206 + 4.87063i) q^{22} +(-2.58255 + 1.49104i) q^{23} +(5.11797 + 5.09215i) q^{24} +(-2.03797 - 3.52987i) q^{25} +(-1.12629 - 8.56442i) q^{26} +(-3.70200 - 3.64626i) q^{27} +(5.41250 + 8.28307i) q^{28} +(3.46295 + 1.99933i) q^{29} +(-8.86209 - 8.81739i) q^{30} +(-6.93264 + 4.00256i) q^{31} +(-2.01877 - 1.16554i) q^{32} +(-2.88235 - 2.86781i) q^{33} -18.1476i q^{34} +(-4.36005 - 6.67245i) q^{35} +(-9.74461 - 5.56054i) q^{36} +(2.21714 + 3.84020i) q^{37} +(1.36967 + 2.37234i) q^{38} +(2.40362 + 5.76391i) q^{39} +(-10.8751 - 6.27874i) q^{40} +(-2.44169 + 4.22913i) q^{41} +(-8.19818 - 7.30248i) q^{42} +(1.21160 + 2.09856i) q^{43} +(-7.60305 - 4.38962i) q^{44} +(7.84979 + 4.47931i) q^{45} +(3.57222 - 6.18726i) q^{46} +(5.09681 - 8.82793i) q^{47} +(-4.19658 - 1.11311i) q^{48} +(-4.14651 - 5.63972i) q^{49} +(8.45684 + 4.88256i) q^{50} +(3.42771 + 12.6642i) q^{51} +(8.20712 + 10.6989i) q^{52} +(3.05667 - 1.76477i) q^{53} +(12.0488 + 3.13072i) q^{54} +(6.12466 + 3.53607i) q^{55} +(-9.84036 - 4.97886i) q^{56} +(-1.40390 - 1.39682i) q^{57} -9.57998 q^{58} +(0.286889 - 0.496906i) q^{59} +(18.8623 + 5.00306i) q^{60} +8.84729i q^{61} +(9.58931 - 16.6092i) q^{62} +(7.10035 + 3.54754i) q^{63} +10.5981 q^{64} +(-6.61126 - 8.61849i) q^{65} +(9.41569 + 2.49743i) q^{66} -2.27345 q^{67} +(14.1642 + 24.5331i) q^{68} +(-1.32421 + 4.99247i) q^{69} +(17.0392 + 8.62122i) q^{70} +(1.96371 - 1.13375i) q^{71} +(12.5047 - 0.0632330i) q^{72} +(0.346827 - 0.200241i) q^{73} +(-9.20032 - 5.31181i) q^{74} +(-6.82378 - 1.80995i) q^{75} +(-3.70322 - 2.13805i) q^{76} +(5.54191 + 2.80400i) q^{77} +(-11.8916 - 9.07977i) q^{78} +(6.63110 - 11.4854i) q^{79} +7.55169 q^{80} +(-8.99954 + 0.0910192i) q^{81} -11.6996i q^{82} +9.96949 q^{83} +(16.7824 + 3.47329i) q^{84} +(-11.4100 - 19.7627i) q^{85} +(-5.02771 - 2.90275i) q^{86} +(6.68534 - 1.80946i) q^{87} +9.78503 q^{88} +(1.37622 + 2.38369i) q^{89} +(-21.6527 + 0.109492i) q^{90} +(-6.21483 - 7.23712i) q^{91} +11.1525i q^{92} +(-3.55472 + 13.4019i) q^{93} +24.4218i q^{94} +(2.98313 + 1.72231i) q^{95} +(-3.89731 + 1.05485i) q^{96} +(7.47021 - 4.31293i) q^{97} +(15.3591 + 6.73432i) q^{98} +(-7.04240 + 0.0356117i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 64 q + 32 q^{4} - 12 q^{6} - 4 q^{7} + 8 q^{9} + 6 q^{12} - 12 q^{13} - 9 q^{15} - 16 q^{16} + 2 q^{18} + 10 q^{21} + 10 q^{22} - 24 q^{25} - 50 q^{28} - 16 q^{30} - 24 q^{31} - 33 q^{39} + 90 q^{40} - 48 q^{42}+ \cdots + 22 q^{99}+O(q^{100}) $ 64 * q + 32 * q^4 - 12 * q^6 - 4 * q^7 + 8 * q^9 + 6 * q^12 - 12 * q^13 - 9 * q^15 - 16 * q^16 + 2 * q^18 + 10 * q^21 + 10 * q^22 - 24 * q^25 - 50 * q^28 - 16 * q^30 - 24 * q^31 - 33 * q^39 + 90 * q^40 - 48 * q^42 - 20 * q^43 - 3 * q^45 + 6 * q^48 - 10 * q^51 + 30 * q^52 - 27 * q^54 + 18 * q^55 + 4 * q^57 - 60 * q^58 + 55 * q^60 - 74 * q^63 - 84 * q^64 + 75 * q^66 - 88 * q^67 - 33 * q^69 + 20 * q^70 - 34 * q^72 + 84 * q^73 + 33 * q^75 + 18 * q^76 - 71 * q^78 + 20 * q^79 - 32 * q^81 - 6 * q^84 - 2 * q^85 + 3 * q^87 + 92 * q^88 - 76 * q^91 + 28 * q^93 + 30 * q^96 + 24 * q^97 + 22 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/273\mathbb{Z}\right)^\times$.

$n$	$92$	$106$	$157$
$\chi(n)$	$-1$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{5}{6}\right)$

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 $

$2$	−2.07482	+	1.19790i	−1.46712	+	0.847041i	−0.999323	−	0.0367953i	$-0.988285\pi$
$2$	−2.07482	+	1.19790i	−1.46712	+	0.847041i	−0.467796	+	0.883837i	$0.654952\pi$
$3$	1.22164	−	1.22784i	0.705317	−	0.708892i
$3$	1.22164	−	1.22784i	0.705317	−	0.708892i
$4$	1.86992	−	3.23879i	0.934958	−	1.61939i
$5$	−1.50632	+	2.60901i	−0.673645	+	1.16679i	0.303218	+	0.952921i	$0.401939\pi$
$5$	−1.50632	+	2.60901i	−0.673645	+	1.16679i	−0.976863	+	0.213866i	$0.931395\pi$
$6$	−1.06387	+	4.01095i	−0.434322	+	1.63746i
$7$	−1.19447	+	2.36077i	−0.451465	+	0.892289i
$7$	−1.19447	+	2.36077i	−0.451465	+	0.892289i
$8$			4.16828i			1.47371i
$9$	−0.0151701	−	2.99996i	−0.00505668	−	0.999987i
$10$		−	7.21764i		−	2.28242i
$11$		−	2.34750i		−	0.707797i	−0.935284	−	0.353899i	$-0.884856\pi$
$11$		−	2.34750i		−	0.707797i	0.935284	−	0.353899i	$-0.115144\pi$
$12$	−1.69233	−	6.25260i	−0.488535	−	1.80497i
$13$	−1.38026	+	3.33090i	−0.382814	+	0.923825i
$13$	−1.38026	+	3.33090i	−0.382814	+	0.923825i
$14$	−0.349666	−	6.32902i	−0.0934521	−	1.69150i
$15$	1.36326	+	5.03680i	0.351993	+	1.30050i
$16$	−1.25334	−	2.17085i	−0.313334	−	0.542711i
$17$	−3.78738	+	6.55994i	−0.918575	+	1.59102i	−0.116995	+	0.993133i	$0.537326\pi$
$17$	−3.78738	+	6.55994i	−0.918575	+	1.59102i	−0.801581	+	0.597887i	$0.796007\pi$
$18$	3.62512	+	6.20621i	0.854449	+	1.46282i
$19$		−	1.14340i		−	0.262313i	−0.991362	−	0.131156i	$-0.958131\pi$
$19$		−	1.14340i		−	0.262313i	0.991362	−	0.131156i	$-0.0418690\pi$
$20$	5.63336	+	9.75727i	1.25966	+	2.18179i
$21$	1.43944	+	4.35064i	0.314111	+	0.949386i
$22$	2.81206	+	4.87063i	0.599534	+	1.03842i
$23$	−2.58255	+	1.49104i	−0.538499	+	0.310903i	−0.744471	−	0.667655i	$-0.767298\pi$
$23$	−2.58255	+	1.49104i	−0.538499	+	0.310903i	0.205971	+	0.978558i	$0.433965\pi$
$24$	5.11797	+	5.09215i	1.04470	+	1.03943i
$25$	−2.03797	−	3.52987i	−0.407594	−	0.705974i
$26$	−1.12629	−	8.56442i	−0.220884	−	1.67962i
$27$	−3.70200	−	3.64626i	−0.712450	−	0.701723i
$28$	5.41250	+	8.28307i	1.02287	+	1.56535i
$29$	3.46295	+	1.99933i	0.643053	+	0.371267i	0.785790	−	0.618494i	$-0.212257\pi$
$29$	3.46295	+	1.99933i	0.643053	+	0.371267i	−0.142737	+	0.989761i	$0.545590\pi$
$30$	−8.86209	−	8.81739i	−1.61799	−	1.60983i
$31$	−6.93264	+	4.00256i	−1.24514	+	0.718881i	−0.970136	−	0.242562i	$-0.922012\pi$
$31$	−6.93264	+	4.00256i	−1.24514	+	0.718881i	−0.275003	+	0.961443i	$0.588679\pi$
$32$	−2.01877	−	1.16554i	−0.356872	−	0.206040i
$33$	−2.88235	−	2.86781i	−0.501752	−	0.499221i
$34$		−	18.1476i		−	3.11229i
$35$	−4.36005	−	6.67245i	−0.736983	−	1.12785i
$36$	−9.74461	−	5.56054i	−1.62410	−	0.926757i
$37$	2.21714	+	3.84020i	0.364495	+	0.631324i	0.988695	−	0.149940i	$-0.0479082\pi$
$37$	2.21714	+	3.84020i	0.364495	+	0.631324i	−0.624200	+	0.781265i	$0.714575\pi$
$38$	1.36967	+	2.37234i	0.222190	+	0.384844i
$39$	2.40362	+	5.76391i	0.384887	+	0.922964i
$40$	−10.8751	−	6.27874i	−1.71950	−	0.992756i
$41$	−2.44169	+	4.22913i	−0.381327	+	0.660478i	−0.991252	−	0.131981i	$-0.957866\pi$
$41$	−2.44169	+	4.22913i	−0.381327	+	0.660478i	0.609925	+	0.792459i	$0.291200\pi$
$42$	−8.19818	−	7.30248i	−1.26501	−	1.12680i
$43$	1.21160	+	2.09856i	0.184768	+	0.320027i	0.943498	−	0.331378i	$-0.107513\pi$
$43$	1.21160	+	2.09856i	0.184768	+	0.320027i	−0.758731	+	0.651405i	$0.774180\pi$
$44$	−7.60305	−	4.38962i	−1.14620	−	0.661761i
$45$	7.84979	+	4.47931i	1.17018	+	0.667736i
$46$	3.57222	−	6.18726i	0.526695	−	0.912262i
$47$	5.09681	−	8.82793i	0.743445	−	1.28769i	−0.207472	−	0.978241i	$-0.566524\pi$
$47$	5.09681	−	8.82793i	0.743445	−	1.28769i	0.950918	−	0.309444i	$-0.100143\pi$
$48$	−4.19658	−	1.11311i	−0.605724	−	0.160663i
$49$	−4.14651	−	5.63972i	−0.592358	−	0.805675i
$50$	8.45684	+	4.88256i	1.19598	+	0.690498i
$51$	3.42771	+	12.6642i	0.479975	+	1.77334i
$52$	8.20712	+	10.6989i	1.13812	+	1.48367i
$53$	3.05667	−	1.76477i	0.419866	−	0.242410i	−0.275154	−	0.961400i	$-0.588729\pi$
$53$	3.05667	−	1.76477i	0.419866	−	0.242410i	0.695020	+	0.718990i	$0.255396\pi$
$54$	12.0488	+	3.13072i	1.63964	+	0.426036i
$55$	6.12466	+	3.53607i	0.825849	+	0.476804i
$56$	−9.84036	−	4.97886i	−1.31497	−	0.665329i
$57$	−1.40390	−	1.39682i	−0.185952	−	0.185014i
$58$	−9.57998			−1.25791
$59$	0.286889	−	0.496906i	0.0373497	−	0.0646916i	−0.846746	−	0.531997i	$-0.821442\pi$
$59$	0.286889	−	0.496906i	0.0373497	−	0.0646916i	0.884096	+	0.467305i	$0.154775\pi$
$60$	18.8623	+	5.00306i	2.43511	+	0.645893i
$61$			8.84729i			1.13278i	0.824138	+	0.566389i	$0.191660\pi$
$61$			8.84729i			1.13278i	−0.824138	+	0.566389i	$0.808340\pi$
$62$	9.58931	−	16.6092i	1.21784	−	2.10937i
$63$	7.10035	+	3.54754i	0.894560	+	0.446948i
$64$	10.5981			1.32477
$65$	−6.61126	−	8.61849i	−0.820026	−	1.06899i
$66$	9.41569	+	2.49743i	1.15899	+	0.307412i
$67$	−2.27345			−0.277746			−0.138873	−	0.990310i	$-0.544348\pi$
$67$	−2.27345			−0.277746			−0.138873	+	0.990310i	$0.544348\pi$
$68$	14.1642	+	24.5331i	1.71766	+	2.97507i
$69$	−1.32421	+	4.99247i	−0.159416	+	0.601023i
$70$	17.0392	+	8.62122i	2.03658	+	1.03043i
$71$	1.96371	−	1.13375i	0.233050	−	0.134551i	−0.378929	−	0.925426i	$-0.623707\pi$
$71$	1.96371	−	1.13375i	0.233050	−	0.134551i	0.611978	+	0.790875i	$0.290374\pi$
$72$	12.5047	−	0.0632330i	1.47369	−	0.00745208i
$73$	0.346827	−	0.200241i	0.0405930	−	0.0234364i	−0.479566	−	0.877506i	$-0.659206\pi$
$73$	0.346827	−	0.200241i	0.0405930	−	0.0234364i	0.520159	+	0.854069i	$0.325873\pi$
$74$	−9.20032	−	5.31181i	−1.06952	−	0.617485i
$75$	−6.82378	−	1.80995i	−0.787942	−	0.208995i
$76$	−3.70322	−	2.13805i	−0.424788	−	0.245251i
$77$	5.54191	+	2.80400i	0.631560	+	0.319546i
$78$	−11.8916	−	9.07977i	−1.34646	−	1.02808i
$79$	6.63110	−	11.4854i	0.746057	−	1.29221i	−0.203642	−	0.979045i	$-0.565278\pi$
$79$	6.63110	−	11.4854i	0.746057	−	1.29221i	0.949699	−	0.313163i	$-0.101389\pi$
$80$	7.55169			0.844304
$81$	−8.99954	+	0.0910192i	−0.999949	+	0.0101132i
$82$		−	11.6996i		−	1.29200i
$83$	9.96949			1.09429			0.547147	−	0.837037i	$-0.315714\pi$
$83$	9.96949			1.09429			0.547147	+	0.837037i	$0.315714\pi$
$84$	16.7824	+	3.47329i	1.83111	+	0.378967i
$85$	−11.4100	−	19.7627i	−1.23759	−	2.14356i
$86$	−5.02771	−	2.90275i	−0.542152	−	0.313012i
$87$	6.68534	−	1.80946i	0.716744	−	0.193995i
$88$	9.78503			1.04309
$89$	1.37622	+	2.38369i	0.145879	+	0.252670i	0.929701	−	0.368316i	$-0.120066\pi$
$89$	1.37622	+	2.38369i	0.145879	+	0.252670i	−0.783821	+	0.620986i	$0.786732\pi$
$90$	−21.6527	+	0.109492i	−2.28239	+	0.0115415i
$91$	−6.21483	−	7.23712i	−0.651492	−	0.758656i
$92$			11.1525i			1.16272i
$93$	−3.55472	+	13.4019i	−0.368608	+	1.38971i
$94$			24.4218i			2.51892i
$95$	2.98313	+	1.72231i	0.306063	+	0.176706i
$96$	−3.89731	+	1.05485i	−0.397768	+	0.107660i
$97$	7.47021	−	4.31293i	0.758484	−	0.437911i	−0.0702669	−	0.997528i	$-0.522385\pi$
$97$	7.47021	−	4.31293i	0.758484	−	0.437911i	0.828751	+	0.559617i	$0.189052\pi$
$98$	15.3591	+	6.73432i	1.55150	+	0.680269i
$99$	−7.04240	+	0.0356117i	−0.707788	+	0.00357911i
$100$	−15.2433			−1.52433
$101$	14.9319			1.48578			0.742891	−	0.669412i	$-0.233454\pi$
$101$	14.9319			1.48578			0.742891	+	0.669412i	$0.233454\pi$
$102$	−22.2823	−	22.1699i	−2.20628	−	2.19515i
$103$	8.34410	+	4.81747i	0.822169	+	0.474679i	0.851164	−	0.524900i	$-0.175897\pi$
$103$	8.34410	+	4.81747i	0.822169	+	0.474679i	−0.0289949	+	0.999580i	$0.509231\pi$
$104$	−13.8841	−	5.75329i	−1.36145	−	0.564157i
$105$	−13.5191	−	2.79792i	−1.31933	−	0.273049i
$106$	−4.22803	+	7.32316i	−0.410662	+	0.711288i
$107$	0.763238	−	0.440656i	0.0737850	−	0.0425998i	−0.462654	−	0.886539i	$-0.653103\pi$
$107$	0.763238	−	0.440656i	0.0737850	−	0.0425998i	0.536439	+	0.843939i	$0.319769\pi$
$108$	−18.7319	+	5.17179i	−1.80248	+	0.497656i
$109$	−5.12018	−	8.86840i	−0.490424	−	0.849439i	0.509515	−	0.860462i	$-0.329825\pi$
$109$	−5.12018	−	8.86840i	−0.490424	−	0.849439i	−0.999939	+	0.0110224i	$0.996491\pi$
$110$	−16.9434			−1.61549
$111$	7.42369	+	1.96907i	0.704626	+	0.186896i
$112$	6.62194	−	0.365849i	0.625715	−	0.0345695i
$113$	−2.35913	+	1.36205i	−0.221929	+	0.128131i	−0.606843	−	0.794822i	$-0.707564\pi$
$113$	−2.35913	+	1.36205i	−0.221929	+	0.128131i	0.384914	+	0.922952i	$0.374231\pi$
$114$	4.58610	+	1.21642i	0.429527	+	0.113928i
$115$		−	8.98389i		−	0.837752i
$116$	12.9508	−	7.47717i	1.20245	−	0.694237i
$117$	10.0135	+	4.09019i	0.925749	+	0.378138i
$118$			1.37465i			0.126547i
$119$	−10.9626	−	16.7768i	−1.00494	−	1.53792i
$120$	−20.9948	+	5.68247i	−1.91655	+	0.518736i
$121$	5.48925			0.499023
$122$	−10.5981	−	18.3565i	−0.959510	−	1.66192i
$123$	2.20981	+	8.16448i	0.199252	+	0.736167i
$124$			29.9378i			2.68849i
$125$	−2.78385			−0.248995
$126$	−18.9815	+	1.14500i	−1.69101	+	0.102004i
$127$	−2.28093	+	3.95069i	−0.202400	+	0.350567i	−0.949301	−	0.314368i	$-0.898207\pi$
$127$	−2.28093	+	3.95069i	−0.202400	+	0.350567i	0.746901	+	0.664935i	$0.231541\pi$
$128$	−17.9517	+	10.3644i	−1.58672	+	0.916092i
$129$	4.05683	+	1.07604i	0.357184	+	0.0947400i
$130$	24.0412	+	9.96220i	2.10856	+	0.873743i
$131$	3.29835	−	5.71291i	0.288178	−	0.499139i	−0.685197	−	0.728358i	$-0.740284\pi$
$131$	3.29835	−	5.71291i	0.288178	−	0.499139i	0.973375	+	0.229219i	$0.0736172\pi$
$132$	−14.6780	+	3.97275i	−1.27755	+	0.345784i
$133$	2.69930	+	1.36575i	0.234059	+	0.118425i
$134$	4.71699	−	2.72335i	0.407486	−	0.235262i
$135$	15.0895	−	4.16615i	1.29870	−	0.358565i
$136$	−27.3437	−	15.7869i	−2.34470	−	1.35371i
$137$	2.62090	+	1.51318i	0.223919	+	0.129280i	0.607763	−	0.794118i	$-0.292067\pi$
$137$	2.62090	+	1.51318i	0.223919	+	0.129280i	−0.383845	+	0.923398i	$0.625400\pi$
$138$	−3.23297	−	11.9447i	−0.275209	−	1.01680i
$139$	−13.5658	+	7.83223i	−1.15064	+	0.664321i	−0.949042	−	0.315148i	$-0.897946\pi$
$139$	−13.5658	+	7.83223i	−1.15064	+	0.664321i	−0.201595	+	0.979469i	$0.564612\pi$
$140$	−29.7636	+	1.64438i	−2.51548	+	0.138975i
$141$	−4.61278	−	17.0426i	−0.388466	−	1.43525i
$142$	−2.71623	+	4.70465i	−0.227941	+	0.394805i
$143$	7.81928	+	3.24015i	0.653881	+	0.270955i
$144$	−6.49344	+	3.79290i	−0.541120	+	0.316075i
$145$	−10.4326	+	6.02325i	−0.866378	+	0.500204i
$146$	−0.479735	+	0.830926i	−0.0397032	+	0.0687679i
$147$	−11.9902	−	1.79850i	−0.988937	−	0.148338i
$148$	16.5834			1.36315
$149$			7.05282i			0.577789i	0.957361	+	0.288895i	$0.0932877\pi$
$149$			7.05282i			0.577789i	−0.957361	+	0.288895i	$0.906712\pi$
$150$	16.3262	−	4.41888i	1.33303	−	0.360800i
$151$	3.71789	+	6.43958i	0.302558	+	0.524046i	0.976715	−	0.214543i	$-0.0688261\pi$
$151$	3.71789	+	6.43958i	0.302558	+	0.524046i	−0.674157	+	0.738588i	$0.735493\pi$
$152$	4.76599			0.386573
$153$	19.7370	+	11.2625i	1.59564	+	0.910518i
$154$	−14.8574	+	0.820840i	−1.19724	+	0.0661452i
$155$		−	24.1165i		−	1.93708i
$156$	23.1626	+	2.99320i	1.85450	+	0.239647i
$157$	−17.9506	+	10.3638i	−1.43261	+	0.827120i	−0.997320	−	0.0731686i	$-0.976689\pi$
$157$	−17.9506	+	10.3638i	−1.43261	+	0.827120i	−0.435294	+	0.900288i	$0.643356\pi$
$158$			31.7735i			2.52776i
$159$	1.56731	−	5.90902i	0.124296	−	0.468615i
$160$	6.08181	−	3.51134i	0.480809	−	0.277595i
$161$	−0.435233	−	7.87781i	−0.0343012	−	0.620859i
$162$	18.5634	−	10.9694i	1.45848	−	0.861835i
$163$	3.17023			0.248312			0.124156	−	0.992263i	$-0.460378\pi$
$163$	3.17023			0.248312			0.124156	+	0.992263i	$0.460378\pi$
$164$	9.13150	+	15.8162i	0.713050	+	1.23504i
$165$	11.8239	−	3.20026i	0.920487	−	0.249140i
$166$	−20.6849	+	11.9424i	−1.60546	+	0.926912i
$167$	−2.15047	+	3.72473i	−0.166409	+	0.288228i	−0.937155	−	0.348914i	$-0.886550\pi$
$167$	−2.15047	+	3.72473i	−0.166409	+	0.288228i	0.770746	+	0.637142i	$0.219884\pi$
$168$	−18.1347	+	5.99997i	−1.39912	+	0.462908i
$169$	−9.18978	−	9.19499i	−0.706907	−	0.707307i
$170$	47.3473	+	27.3360i	3.63137	+	2.09657i
$171$	−3.43014	+	0.0173454i	−0.262309	+	0.00132643i
$172$	9.06238			0.691000
$173$	−19.6184			−1.49156			−0.745780	−	0.666192i	$-0.767923\pi$
$173$	−19.6184			−1.49156			−0.745780	+	0.666192i	$0.767923\pi$
$174$	−11.7033	+	11.7627i	−0.887227	+	0.891725i
$175$	10.7675	−	0.594883i	0.813947	−	0.0449689i
$176$	−5.09605	+	2.94221i	−0.384130	+	0.221777i
$177$	−0.259644	−	0.959295i	−0.0195160	−	0.0721050i
$178$	−5.71082	−	3.29714i	−0.428044	−	0.247131i
$179$			10.1694i			0.760096i	0.924967	+	0.380048i	$0.124092\pi$
$179$			10.1694i			0.760096i	−0.924967	+	0.380048i	$0.875908\pi$
$180$	29.1860	−	17.0479i	2.17540	−	1.27068i
$181$		−	17.9244i		−	1.33231i	−0.745813	−	0.666155i	$-0.767939\pi$
$181$		−	17.9244i		−	1.33231i	0.745813	−	0.666155i	$-0.232061\pi$
$182$	21.5640	+	7.57097i	1.59843	+	0.561198i
$183$	10.8630	+	10.8082i	0.803018	+	0.798968i
$184$	−6.21506	−	10.7648i	−0.458180	−	0.793591i
$185$	−13.3588			−0.982161
$186$	−8.67864	−	32.0646i	−0.636349	−	2.35109i
$187$	15.3994	+	8.89088i	1.12612	+	0.650165i
$188$	−19.0612	−	33.0150i	−1.39018	−	2.40786i
$189$	13.0299	−	4.38425i	0.947786	−	0.318907i
$190$	−8.25262			−0.598708
$191$			3.48947i			0.252489i	0.991999	+	0.126245i	$0.0402924\pi$
$191$			3.48947i			0.252489i	−0.991999	+	0.126245i	$0.959708\pi$
$192$	12.9471	−	13.0128i	0.934380	−	0.939117i
$193$	−6.59075			−0.474412			−0.237206	−	0.971459i	$-0.576232\pi$
$193$	−6.59075			−0.474412			−0.237206	+	0.971459i	$0.576232\pi$
$194$	−10.3329	+	17.8971i	−0.741858	+	1.28494i
$195$	−18.6587	−	2.41118i	−1.33618	−	0.172668i
$196$	−26.0195	+	2.88385i	−1.85854	+	0.205989i
$197$	18.2907	+	10.5602i	1.30316	+	0.752380i	0.980945	−	0.194286i	$-0.0622390\pi$
$197$	18.2907	+	10.5602i	1.30316	+	0.752380i	0.322216	+	0.946666i	$0.395572\pi$
$198$	14.5691	−	8.50996i	1.03538	−	0.604777i
$199$	−1.50456	−	0.868657i	−0.106655	−	0.0615775i	0.445723	−	0.895171i	$-0.352946\pi$
$199$	−1.50456	−	0.868657i	−0.106655	−	0.0615775i	−0.552379	+	0.833593i	$0.686280\pi$
$200$	14.7135	−	8.49483i	1.04040	−	0.600675i
$201$	−2.77734	+	2.79142i	−0.195899	+	0.196892i
$202$	−30.9811	+	17.8869i	−2.17982	+	1.25852i
$203$	−8.85634	+	5.78710i	−0.621593	+	0.406175i
$204$	47.4262	+	12.5794i	3.32050	+	0.880733i
$205$	−7.35590	−	12.7408i	−0.513758	−	0.889856i
$206$	−23.0833			−1.60829
$207$	4.51223	+	7.72494i	0.313622	+	0.536920i
$208$	8.96079	−	1.17842i	0.621319	−	0.0817087i
$209$	−2.68412			−0.185664
$210$	31.4013	−	10.3893i	2.16690	−	0.716932i
$211$	2.76341	−	4.78637i	0.190241	−	0.329507i	−0.755089	−	0.655622i	$-0.772406\pi$
$211$	2.76341	−	4.78637i	0.190241	−	0.329507i	0.945330	+	0.326115i	$0.105740\pi$
$212$		−	13.1999i		−	0.906572i
$213$	1.00690	−	3.79616i	0.0689914	−	0.260108i
$214$	−1.05572	+	1.82856i	−0.0721675	+	0.124998i
$215$	−7.30022			−0.497871
$216$	15.1986	−	15.4310i	1.03414	−	1.04994i
$217$	−1.16835	−	21.1473i	−0.0793125	−	1.43557i
$218$	21.2469	+	12.2669i	1.43902	+	0.830819i
$219$	0.177836	−	0.670470i	0.0120171	−	0.0453061i
$220$	22.9052	−	13.2243i	1.54427	−	0.891583i
$221$	−16.6229	−	21.6698i	−1.11818	−	1.45767i
$222$	−17.7616	+	4.80736i	−1.19208	+	0.322649i
$223$	12.4756	+	7.20276i	0.835425	+	0.482333i	0.855706	−	0.517462i	$-0.173123\pi$
$223$	12.4756	+	7.20276i	0.835425	+	0.482333i	−0.0202817	+	0.999794i	$0.506456\pi$
$224$	5.16292	−	3.37367i	0.344962	−	0.225413i
$225$	−10.5586	+	6.16738i	−0.703904	+	0.411159i
$226$	3.26318	−	5.65200i	0.217064	−	0.375965i
$227$	−0.0681727	+	0.118079i	−0.00452478	+	0.00783716i	−0.868279	−	0.496076i	$-0.834774\pi$
$227$	−0.0681727	+	0.118079i	−0.00452478	+	0.00783716i	0.863754	+	0.503913i	$0.168107\pi$
$228$	−7.14919	+	1.93501i	−0.473467	+	0.128149i
$229$	0.521290	+	0.300967i	0.0344478	+	0.0198885i	0.517125	−	0.855910i	$-0.327002\pi$
$229$	0.521290	+	0.300967i	0.0344478	+	0.0198885i	−0.482677	+	0.875798i	$0.660336\pi$
$230$	10.7618	+	18.6399i	0.709610	+	1.22908i
$231$	10.2131	−	3.37907i	0.671973	−	0.222327i
$232$	−8.33377	+	14.4345i	−0.547139	+	0.947673i
$233$	−12.3805	−	7.14790i	−0.811076	−	0.468275i	0.0362537	−	0.999343i	$-0.488458\pi$
$233$	−12.3805	−	7.14790i	−0.811076	−	0.468275i	−0.847329	+	0.531068i	$0.821791\pi$
$234$	−25.6758	+	3.50876i	−1.67848	+	0.229375i
$235$	15.3548	+	26.5953i	1.00164	+	1.73488i
$236$	−1.07292	−	1.85834i	−0.0698408	−	0.120968i
$237$	−6.00136	−	22.1730i	−0.389830	−	1.44029i
$238$	42.8423	+	21.6767i	2.77706	+	1.40509i
$239$			17.4646i			1.12969i	0.825197	+	0.564846i	$0.191064\pi$
$239$			17.4646i			1.12969i	−0.825197	+	0.564846i	$0.808936\pi$
$240$	9.22548	−	9.27225i	0.595502	−	0.598521i
$241$	11.8945	+	6.86729i	0.766191	+	0.442361i	0.831514	−	0.555503i	$-0.187474\pi$
$241$	11.8945	+	6.86729i	0.766191	+	0.442361i	−0.0653229	+	0.997864i	$0.520808\pi$
$242$	−11.3892	+	6.57556i	−0.732126	+	0.422693i
$243$	−10.8825	+	11.1612i	−0.698111	+	0.715989i
$244$	28.6545	+	16.5437i	1.83442	+	1.05910i
$245$	20.9601	−	2.32309i	1.33909	−	0.148417i
$246$	−14.3652	−	14.2927i	−0.915889	−	0.911269i
$247$	3.80853	+	1.57818i	0.242331	+	0.100417i
$248$	−16.6838	−	28.8972i	−1.05942	−	1.83497i
$249$	12.1792	−	12.2409i	0.771823	−	0.775736i
$250$	5.77598	−	3.33476i	0.365305	−	0.210909i
$251$	14.5439	+	25.1908i	0.918003	+	1.59003i	0.802444	+	0.596727i	$0.203533\pi$
$251$	14.5439	+	25.1908i	0.918003	+	1.59003i	0.115559	+	0.993301i	$0.463134\pi$
$252$	24.7668	−	16.3629i	1.56016	−	1.03077i
$253$	3.50021	+	6.06254i	0.220056	+	0.381148i
$254$		−	10.9293i		−	0.685764i
$255$	−38.2043	−	10.1334i	−2.39245	−	0.634575i
$256$	14.2328	−	24.6520i	0.889552	−	1.54075i
$257$	−0.282446	−	0.489211i	−0.0176185	−	0.0305162i	0.857082	−	0.515180i	$-0.172275\pi$
$257$	−0.282446	−	0.489211i	−0.0176185	−	0.0305162i	−0.874700	+	0.484664i	$0.838942\pi$
$258$	−9.70618	+	2.62708i	−0.604280	+	0.163555i
$259$	−11.7141	+	0.647182i	−0.727881	+	0.0402139i
$260$	−40.2760	+	5.29663i	−2.49781	+	0.328483i
$261$	5.94539	−	10.4190i	0.368010	−	0.644922i
$262$			15.8043i			0.976395i
$263$			20.9124i			1.28951i	0.764389	+	0.644756i	$0.223041\pi$
$263$			20.9124i			1.28951i	−0.764389	+	0.644756i	$0.776959\pi$
$264$	11.9538	−	12.0144i	0.735707	−	0.739437i
$265$			10.6332i			0.653192i
$266$	−7.23658	+	0.399806i	−0.443703	+	0.0245137i
$267$	4.60803	+	1.22224i	0.282007	+	0.0747999i
$268$	−4.25115	+	7.36321i	−0.259680	+	0.449780i
$269$	−7.93982	+	13.7522i	−0.484099	+	0.838485i	−0.999833	−	0.0182640i	$-0.994186\pi$
$269$	−7.93982	+	13.7522i	−0.484099	+	0.838485i	0.515734	+	0.856749i	$0.327519\pi$
$270$	−26.3174	+	26.7197i	−1.60163	+	1.62611i
$271$	5.18862	−	2.99565i	0.315186	−	0.181973i	−0.334059	−	0.942552i	$-0.608418\pi$
$271$	5.18862	−	2.99565i	0.315186	−	0.181973i	0.649245	+	0.760580i	$0.275085\pi$
$272$	18.9875			1.15129
$273$	−16.4783	−	1.21038i	−0.997313	−	0.0732554i
$274$	−7.25053			−0.438020
$275$	−8.28636	+	4.78413i	−0.499686	+	0.288494i
$276$	13.6934	+	13.6243i	0.824246	+	0.820089i
$277$	−14.3659	+	24.8824i	−0.863160	+	1.49504i	0.00570199	+	0.999984i	$0.498185\pi$
$277$	−14.3659	+	24.8824i	−0.863160	+	1.49504i	−0.868862	+	0.495054i	$0.835148\pi$
$278$	18.7644	−	32.5009i	1.12541	−	1.94927i
$279$	12.1127	+	20.7369i	0.725168	+	1.24149i
$280$	27.8126	−	18.1739i	1.66212	−	1.08610i
$281$		−	13.6303i		−	0.813117i	−0.913625	−	0.406558i	$-0.866729\pi$
$281$		−	13.6303i		−	0.813117i	0.913625	−	0.406558i	$-0.133271\pi$
$282$	29.9860	+	29.8348i	1.78564	+	1.77663i
$283$		−	27.7574i		−	1.65001i	−0.565128	−	0.825003i	$-0.691173\pi$
$283$		−	27.7574i		−	1.65001i	0.565128	−	0.825003i	$-0.308827\pi$
$284$		−	8.48006i		−	0.503199i
$285$	5.75905	−	1.55875i	0.341137	−	0.0923324i
$286$	−20.1050	+	2.64397i	−1.18883	+	0.156341i
$287$	−7.06750	−	10.8158i	−0.417181	−	0.638437i
$288$	−3.46595	+	6.07392i	−0.204233	+	0.357909i
$289$	−20.1885	−	34.9676i	−1.18756	−	2.05692i
$290$	14.4305	−	24.9943i	0.847386	−	1.46772i
$291$	3.83036	−	14.4411i	0.224540	−	0.846550i
$292$		−	1.49773i		−	0.0876481i
$293$	−4.84856	−	8.39795i	−0.283256	−	0.490614i	0.688929	−	0.724829i	$-0.258081\pi$
$293$	−4.84856	−	8.39795i	−0.283256	−	0.490614i	−0.972185	+	0.234215i	$0.924748\pi$
$294$	27.0320	−	10.6315i	1.57654	−	0.620041i
$295$	0.864289	+	1.49699i	0.0503209	+	0.0871583i
$296$	−16.0070	+	9.24165i	−0.930389	+	0.537160i
$297$	−8.55959	+	8.69043i	−0.496678	+	0.504270i
$298$	−8.44855	−	14.6333i	−0.489411	−	0.847685i
$299$	−1.40191	−	10.6602i	−0.0810746	−	0.616497i
$300$	−18.6219	+	18.7163i	−1.07514	+	1.08059i
$301$	−6.40144	+	0.353666i	−0.368973	+	0.0203850i
$302$	−15.4279	−	8.90731i	−0.887777	−	0.512558i
$303$	18.2415	−	18.3340i	1.04795	−	1.05326i
$304$	−2.48213	+	1.43306i	−0.142360	+	0.0821917i
$305$	−23.0827	−	13.3268i	−1.32171	−	0.763090i
$306$	−54.4421	+	0.275300i	−3.11225	+	0.0157378i
$307$			31.6343i			1.80546i	0.430203	+	0.902732i	$0.358442\pi$
$307$			31.6343i			1.80546i	−0.430203	+	0.902732i	$0.641558\pi$
$308$	19.4445	−	12.7058i	1.10795	−	0.723982i
$309$	16.1086	−	4.35997i	0.916386	−	0.248030i
$310$	28.8891	+	50.0373i	1.64079	+	2.84193i
$311$	7.62664	+	13.2097i	0.432467	+	0.749055i	0.997085	−	0.0762977i	$-0.0243099\pi$
$311$	7.62664	+	13.2097i	0.432467	+	0.749055i	−0.564618	+	0.825352i	$0.690977\pi$
$312$	−24.0256	+	10.0190i	−1.36018	+	0.567212i
$313$	−10.5870	−	6.11243i	−0.598414	−	0.345495i	0.170003	−	0.985444i	$-0.445622\pi$
$313$	−10.5870	−	6.11243i	−0.598414	−	0.345495i	−0.768418	+	0.639949i	$0.778956\pi$
$314$	24.8295	−	43.0059i	1.40121	−	2.42697i
$315$	−19.9509	+	13.1812i	−1.12411	+	0.742677i
$316$	−24.7992	−	42.9535i	−1.39506	−	2.41632i
$317$	−26.5252	−	15.3144i	−1.48981	−	0.860140i	−0.489874	−	0.871793i	$-0.662957\pi$
$317$	−26.5252	−	15.3144i	−1.48981	−	0.860140i	−0.999932	+	0.0116535i	$0.996291\pi$
$318$	3.82650	+	14.1376i	0.214580	+	0.792798i
$319$	4.69343	−	8.12926i	0.262782	−	0.455151i
$320$	−15.9641	+	27.6507i	−0.892422	+	1.54572i
$321$	0.391352	−	1.47546i	0.0218431	−	0.0823519i
$322$	10.3398	+	15.8237i	0.576217	+	0.881819i
$323$	7.50060	+	4.33048i	0.417345	+	0.240954i
$324$	−16.5336	+	29.3178i	−0.918533	+	1.62877i
$325$	14.5706	−	1.91615i	0.808229	−	0.106289i
$326$	−6.57766	+	3.79761i	−0.364303	+	0.210330i
$327$	−17.1440	−	4.54729i	−0.948065	−	0.251466i
$328$	−17.6282	−	10.1776i	−0.973353	−	0.561966i
$329$	14.7528	+	22.5771i	0.813347	+	1.24471i
$330$	−20.6988	+	20.8037i	−1.13943	+	1.14521i
$331$	−17.4145			−0.957187			−0.478594	−	0.878037i	$-0.658853\pi$
$331$	−17.4145			−0.957187			−0.478594	+	0.878037i	$0.658853\pi$
$332$	18.6421	−	32.2891i	1.02312	−	1.77209i
$333$	11.4868	−	6.70959i	0.629473	−	0.367683i
$334$		−	10.3042i		−	0.563820i
$335$	3.42453	−	5.93145i	0.187102	−	0.324070i
$336$	7.64046	−	8.57761i	0.416821	−	0.467947i
$337$	19.3854			1.05599			0.527996	−	0.849247i	$-0.322944\pi$
$337$	19.3854			1.05599			0.527996	+	0.849247i	$0.322944\pi$
$338$	30.0818	+	8.06952i	1.63623	+	0.438924i
$339$	−1.20965	+	4.56057i	−0.0656992	+	0.247696i
$340$	−85.3429			−4.62837
$341$	9.39600	+	16.2744i	0.508822	+	0.881306i
$342$	7.09614	−	4.14495i	0.383716	−	0.224133i
$343$	18.2670	−	3.05251i	0.986324	−	0.164820i
$344$	−8.74737	+	5.05030i	−0.471627	+	0.272294i
$345$	−11.0308	−	10.9751i	−0.593876	−	0.590880i
$346$	40.7046	−	23.5008i	2.18830	−	1.26341i
$347$	−0.0841770	−	0.0485996i	−0.00451886	−	0.00260897i	0.497739	−	0.867327i	$-0.334164\pi$
$347$	−0.0841770	−	0.0485996i	−0.00451886	−	0.00260897i	−0.502258	+	0.864718i	$0.667497\pi$
$348$	6.64057	−	25.0360i	0.355972	−	1.34207i
$349$	16.6421	+	9.60835i	0.890834	+	0.514323i	0.874215	−	0.485539i	$-0.161377\pi$
$349$	16.6421	+	9.60835i	0.890834	+	0.514323i	0.0166187	+	0.999862i	$0.494710\pi$
$350$	−21.6280	+	14.1326i	−1.15607	+	0.755421i
$351$	17.2550	−	7.29821i	0.921005	−	0.389550i
$352$	−2.73610	+	4.73906i	−0.145835	+	0.252593i
$353$	2.34768			0.124955			0.0624773	−	0.998046i	$-0.480100\pi$
$353$	2.34768			0.124955			0.0624773	+	0.998046i	$0.480100\pi$
$354$	1.68785	+	1.67934i	0.0897082	+	0.0892557i
$355$			6.83113i			0.362559i
$356$	10.2937			0.545564
$357$	−33.9916	−	7.03491i	−1.79903	−	0.372327i
$358$	−12.1819	−	21.0996i	−0.643832	−	1.11515i
$359$	4.25959	+	2.45928i	0.224813	+	0.129796i	0.608177	−	0.793802i	$-0.291901\pi$
$359$	4.25959	+	2.45928i	0.224813	+	0.129796i	−0.383364	+	0.923597i	$0.625235\pi$
$360$	−18.6710	+	32.7201i	−0.984048	+	1.72450i
$361$	17.6926			0.931192
$362$	21.4716	+	37.1899i	1.12852	+	1.95466i
$363$	6.70591	−	6.73991i	0.351969	−	0.353754i
$364$	−35.0607	+	6.59573i	−1.83768	+	0.345710i
$365$			1.20650i			0.0631512i
$366$	−35.4860	−	9.41234i	−1.85488	−	0.491991i
$367$		−	5.24786i		−	0.273936i	−0.990575	−	0.136968i	$-0.956264\pi$
$367$		−	5.24786i		−	0.273936i	0.990575	−	0.136968i	$-0.0437357\pi$
$368$	6.47362	+	3.73755i	0.337461	+	0.194833i
$369$	12.7243	+	7.26081i	0.662398	+	0.377983i
$370$	27.7172	−	16.0025i	1.44095	−	0.831931i
$371$	0.515136	+	9.32406i	0.0267445	+	0.484081i
$372$	36.7588	+	36.5733i	1.90585	+	1.89624i
$373$	32.3322			1.67410			0.837050	−	0.547127i	$-0.184279\pi$
$373$	32.3322			1.67410			0.837050	+	0.547127i	$0.184279\pi$
$374$	−42.6014			−2.20287
$375$	−3.40087	+	3.41811i	−0.175620	+	0.176511i
$376$	36.7973	+	21.2449i	1.89767	+	1.09562i
$377$	−11.4393	+	8.77513i	−0.589155	+	0.451942i
$378$	−21.7828	+	24.7050i	−1.12039	+	1.27069i
$379$	2.14418	−	3.71383i	0.110139	−	0.190766i	−0.805687	−	0.592341i	$-0.798204\pi$
$379$	2.14418	−	3.71383i	0.110139	−	0.190766i	0.915826	+	0.401575i	$0.131537\pi$
$380$	11.1564	−	6.44116i	0.572312	−	0.330425i
$381$	2.06432	+	7.62694i	0.105758	+	0.390740i
$382$	−4.18003	−	7.24002i	−0.213869	−	0.370432i
$383$	16.2502			0.830344			0.415172	−	0.909743i	$-0.363721\pi$
$383$	16.2502			0.830344			0.415172	+	0.909743i	$0.363721\pi$
$384$	−9.20475	+	34.7033i	−0.469728	+	1.77095i
$385$	−15.6636	+	10.2352i	−0.798289	+	0.521635i
$386$	13.6746	−	7.89504i	0.696019	−	0.401847i
$387$	6.27721	−	3.66660i	0.319089	−	0.186384i
$388$		−	32.2592i		−	1.63771i
$389$	−8.08628	+	4.66861i	−0.409990	+	0.236708i	−0.690786	−	0.723060i	$-0.742735\pi$
$389$	−8.08628	+	4.66861i	−0.409990	+	0.236708i	0.280795	+	0.959768i	$0.409402\pi$
$390$	41.6018	−	17.3485i	2.10659	−	0.878474i
$391$		−	22.5885i		−	1.14235i
$392$	23.5079	−	17.2838i	1.18733	−	0.872963i
$393$	−2.98511	−	11.0290i	−0.150579	−	0.556338i
$394$	−50.5999			−2.54919
$395$	19.9770	+	34.6013i	1.00515	+	1.74098i
$396$	−13.0534	+	22.8755i	−0.655956	+	1.14953i
$397$		−	0.252860i		−	0.0126907i	−0.999980	−	0.00634534i	$-0.997980\pi$
$397$		−	0.252860i		−	0.0126907i	0.999980	−	0.00634534i	$-0.00201980\pi$
$398$	4.16225			0.208635
$399$	4.97450	−	1.64584i	0.249036	−	0.0823952i
$400$	−5.10853	+	8.84824i	−0.255427	+	0.442412i
$401$	16.3381	−	9.43281i	0.815886	−	0.471052i	−0.0331096	−	0.999452i	$-0.510541\pi$
$401$	16.3381	−	9.43281i	0.815886	−	0.471052i	0.848996	+	0.528400i	$0.177208\pi$
$402$	2.41865	−	9.11867i	0.120631	−	0.454798i
$403$	−3.76331	−	28.6165i	−0.187464	−	1.42549i
$404$	27.9215	−	48.3614i	1.38914	−	2.40607i
$405$	13.3187	−	23.6170i	0.661810	−	1.17354i
$406$	11.4430	−	22.6162i	0.567904	−	1.12242i
$407$	9.01485	−	5.20473i	0.446850	−	0.257989i
$408$	−52.7879	+	14.2876i	−2.61339	+	0.707343i
$409$	6.85196	+	3.95598i	0.338808	+	0.195611i	0.659745	−	0.751490i	$-0.270664\pi$
$409$	6.85196	+	3.95598i	0.338808	+	0.195611i	−0.320937	+	0.947101i	$0.603998\pi$
$410$	30.5243	+	17.6232i	1.50749	+	0.870349i
$411$	5.05975	−	1.36948i	0.249579	−	0.0675513i
$412$	31.2055	−	18.0165i	1.53739	−	0.887611i
$413$	0.830404	+	1.27082i	0.0408615	+	0.0625328i
$414$	−18.6157	−	10.6227i	−0.914914	−	0.522075i
$415$	−15.0172	+	26.0105i	−0.737165	+	1.27681i
$416$	6.66871	−	5.11558i	0.326961	−	0.250812i
$417$	−6.95590	+	26.2248i	−0.340632	+	1.28423i
$418$	5.56906	−	3.21530i	0.272392	−	0.157265i
$419$	−3.20858	+	5.55742i	−0.156749	+	0.271498i	−0.933695	−	0.358070i	$-0.883435\pi$
$419$	−3.20858	+	5.55742i	−0.156749	+	0.271498i	0.776945	+	0.629568i	$0.216768\pi$
$420$	−34.3415	+	38.5537i	−1.67569	+	1.88123i
$421$	−27.2075			−1.32601			−0.663007	−	0.748614i	$-0.730720\pi$
$421$	−27.2075			−1.32601			−0.663007	+	0.748614i	$0.730720\pi$
$422$			13.2411i			0.644568i
$423$	−26.5608	−	15.1563i	−1.29143	−	0.736925i
$424$	7.35605	+	12.7411i	0.357241	+	0.618760i
$425$	30.8743			1.49762
$426$	2.45828	+	9.08249i	0.119104	+	0.440048i
$427$	−20.8864	−	10.5678i	−1.01077	−	0.511410i
$428$		−	3.29595i		−	0.159316i
$429$	13.5308	−	5.64250i	0.653271	−	0.272422i
$430$	15.1466	−	8.74491i	0.730436	−	0.421717i
$431$		−	22.5863i		−	1.08794i	−0.839104	−	0.543971i	$-0.816920\pi$
$431$		−	22.5863i		−	1.08794i	0.839104	−	0.543971i	$-0.183080\pi$
$432$	−3.27561	+	12.6065i	−0.157598	+	0.606529i
$433$	23.8203	−	13.7527i	1.14473	−	0.660910i	0.197133	−	0.980377i	$-0.436837\pi$
$433$	23.8203	−	13.7527i	1.14473	−	0.660910i	0.947598	+	0.319466i	$0.103504\pi$
$434$	27.7564	+	42.4773i	1.33235	+	2.03897i
$435$	−5.34932	+	20.1678i	−0.256480	+	0.966971i
$436$	−38.2972			−1.83410
$437$	1.70484	+	2.95288i	0.0815538	+	0.141255i
$438$	0.434176	+	1.60413i	0.0207457	+	0.0766484i
$439$	−23.3450	+	13.4782i	−1.11419	+	0.643280i	−0.939913	−	0.341415i	$-0.889094\pi$
$439$	−23.3450	+	13.4782i	−1.11419	+	0.643280i	−0.174282	+	0.984696i	$0.555760\pi$
$440$	−14.7393	+	25.5293i	−0.702670	+	1.21706i
$441$	−16.8561	+	12.5249i	−0.802669	+	0.596425i
$442$	60.4478	+	25.0483i	2.87521	+	1.19143i
$443$	−11.1645	−	6.44581i	−0.530440	−	0.306250i	0.210756	−	0.977539i	$-0.432408\pi$
$443$	−11.1645	−	6.44581i	−0.530440	−	0.306250i	−0.741196	+	0.671289i	$0.765741\pi$
$444$	20.2591	−	20.3618i	0.961453	−	0.966327i
$445$	−8.29209			−0.393083
$446$	−34.5127			−1.63422
$447$	8.65971	+	8.61603i	0.409590	+	0.407524i
$448$	−12.6591	+	25.0198i	−0.598086	+	1.18207i
$449$	−15.3399	+	8.85649i	−0.723934	+	0.417964i	−0.816199	−	0.577771i	$-0.803923\pi$
$449$	−15.3399	+	8.85649i	−0.723934	+	0.417964i	0.0922648	+	0.995735i	$0.470589\pi$
$450$	14.5192	−	25.4443i	0.684442	−	1.19945i
$451$	9.92786	+	5.73186i	0.467485	+	0.269903i
$452$			10.1876i			0.479187i
$453$	12.4487	+	3.30191i	0.584891	+	0.155137i
$454$		−	0.326656i		−	0.0153307i
$455$	28.2432	−	5.31321i	1.32406	−	0.249087i
$456$	5.82234	−	5.85186i	0.272656	−	0.274038i
$457$	13.4963	+	23.3762i	0.631329	+	1.09349i	0.987280	+	0.158989i	$0.0508235\pi$
$457$	13.4963	+	23.3762i	0.631329	+	1.09349i	−0.355952	+	0.934504i	$0.615843\pi$
$458$	−1.44211			−0.0673854
$459$	37.9401	−	10.4751i	1.77089	−	0.488936i
$460$	−29.0969	−	16.7991i	−1.35665	−	0.783263i
$461$	−9.02803	−	15.6370i	−0.420477	−	0.728288i	0.575509	−	0.817795i	$-0.304804\pi$
$461$	−9.02803	−	15.6370i	−0.420477	−	0.728288i	−0.995986	+	0.0895077i	$0.971471\pi$
$462$	−17.1426	+	19.2452i	−0.797544	+	0.895368i
$463$	−7.75112			−0.360225			−0.180113	−	0.983646i	$-0.557646\pi$
$463$	−7.75112			−0.360225			−0.180113	+	0.983646i	$0.557646\pi$
$464$		−	10.0234i		−	0.465323i
$465$	−29.6111	−	29.4617i	−1.37318	−	1.36626i
$466$	34.2498			1.58659
$467$	9.49821	−	16.4514i	0.439525	−	0.761279i	−0.558128	−	0.829755i	$-0.688480\pi$
$467$	9.49821	−	16.4514i	0.439525	−	0.761279i	0.997653	+	0.0684756i	$0.0218135\pi$
$468$	31.9717	−	24.7833i	1.47789	−	1.14561i
$469$	2.71555	−	5.36709i	0.125393	−	0.247829i
$470$	−63.7168	−	36.7869i	−2.93904	−	1.69685i
$471$	−9.20420	+	34.7013i	−0.424107	+	1.59895i
$472$	2.07124	+	1.19583i	0.0953366	+	0.0550426i
$473$	4.92636	−	2.84423i	0.226514	−	0.130778i
$474$	39.0127	+	38.8159i	1.79191	+	1.78287i
$475$	−4.03603	+	2.33021i	−0.185186	+	0.106917i
$476$	−74.8357	+	4.13452i	−3.43009	+	0.189505i
$477$	−5.34061	−	9.14312i	−0.244530	−	0.418635i
$478$	−20.9208	−	36.2359i	−0.956895	−	1.65739i
$479$	−10.6100			−0.484783			−0.242391	−	0.970179i	$-0.577932\pi$
$479$	−10.6100			−0.484783			−0.242391	+	0.970179i	$0.577932\pi$
$480$	3.11846	−	11.7571i	0.142338	−	0.536635i
$481$	−15.8515	+	2.08461i	−0.722768	+	0.0950500i
$482$	−32.9052			−1.49879
$483$	−10.2044	−	9.08949i	−0.464315	−	0.413586i
$484$	10.2644	−	17.7785i	0.466565	−	0.808115i
$485$			25.9865i			1.17999i
$486$	9.20925	−	36.1935i	0.417740	−	1.64177i
$487$	17.1496	−	29.7040i	0.777124	−	1.34602i	−0.156470	−	0.987683i	$-0.550011\pi$
$487$	17.1496	−	29.7040i	0.777124	−	1.34602i	0.933593	−	0.358335i	$-0.116655\pi$
$488$	−36.8779			−1.66939
$489$	3.87290	−	3.89253i	0.175138	−	0.176026i
$490$	−40.7055	+	29.9280i	−1.83889	+	1.35201i
$491$	13.6044	+	7.85449i	0.613957	+	0.354468i	0.774512	−	0.632559i	$-0.217995\pi$
$491$	13.6044	+	7.85449i	0.613957	+	0.354468i	−0.160556	+	0.987027i	$0.551329\pi$
$492$	30.5752	+	8.10980i	1.37844	+	0.365618i
$493$	−26.2310	+	15.1445i	−1.18139	+	0.682073i
$494$	−9.79252	+	1.28780i	−0.440586	+	0.0579408i
$495$	10.5152	−	18.4274i	0.472622	−	0.828249i
$496$	17.3779	+	10.0331i	0.780290	+	0.450500i
$497$	0.330941	+	5.99010i	0.0148447	+	0.268693i
$498$	−10.6062	+	39.9871i	−0.475276	+	1.79186i
$499$	14.6954	−	25.4532i	0.657856	−	1.13944i	−0.323313	−	0.946292i	$-0.604797\pi$
$499$	14.6954	−	25.4532i	0.657856	−	1.13944i	0.981170	−	0.193149i	$-0.0618700\pi$
$500$	−5.20556	+	9.01629i	−0.232800	+	0.403221i
$501$	1.94625	+	7.19072i	0.0869519	+	0.321258i
$502$	−60.3519	−	34.8442i	−2.69364	−	1.55517i
$503$	−7.24340	−	12.5459i	−0.322967	−	0.559396i	0.658132	−	0.752903i	$-0.271347\pi$
$503$	−7.24340	−	12.5459i	−0.322967	−	0.559396i	−0.981099	+	0.193507i	$0.938014\pi$
$504$	−14.7871	+	29.5962i	−0.658671	+	1.31832i
$505$	−22.4922	+	38.9576i	−1.00089	+	1.73359i
$506$	−14.5246	−	8.38578i	−0.645697	−	0.372793i
$507$	−22.5166	+	0.0505539i	−0.999997	+	0.00224518i
$508$	8.53029	+	14.7749i	0.378470	+	0.655530i
$509$	9.64216	+	16.7007i	0.427381	+	0.740246i	0.996639	−	0.0819128i	$-0.0261029\pi$
$509$	9.64216	+	16.7007i	0.427381	+	0.740246i	−0.569258	+	0.822159i	$0.692770\pi$
$510$	91.4057	−	24.7400i	4.04751	−	1.09550i
$511$	0.0584501	+	1.05796i	0.00258568	+	0.0468014i
$512$			26.7403i			1.18177i
$513$	−4.16912	+	4.23285i	−0.184071	+	0.186885i
$514$	1.17205	+	0.676683i	0.0516969	+	0.0298472i
$515$	−25.1377	+	14.5133i	−1.10770	+	0.639530i
$516$	11.0710	−	11.1271i	0.487374	−	0.489845i
$517$	−20.7235	−	11.9647i	−0.911420	−	0.526209i
$518$	23.5294	−	15.3751i	1.03382	−	0.675544i
$519$	−23.9667	+	24.0882i	−1.05202	+	1.05736i
$520$	35.9243	−	27.5576i	1.57538	−	1.20848i
$521$	1.83171	+	3.17261i	0.0802486	+	0.138995i	0.903357	−	0.428890i	$-0.141095\pi$
$521$	1.83171	+	3.17261i	0.0802486	+	0.138995i	−0.823108	+	0.567885i	$0.807762\pi$
$522$	0.145329	+	28.7396i	0.00636087	+	1.25790i
$523$	−1.06199	+	0.613139i	−0.0464375	+	0.0268107i	−0.523039	−	0.852309i	$-0.675202\pi$
$523$	−1.06199	+	0.613139i	−0.0464375	+	0.0268107i	0.476602	+	0.879119i	$0.341868\pi$
$524$	−12.3353	−	21.3653i	−0.538869	−	0.933348i
$525$	12.4236	−	13.9475i	0.542212	−	0.608718i
$526$	−25.0509	−	43.3894i	−1.09227	−	1.89187i
$527$		−	60.6369i		−	2.64139i
$528$	−2.61301	+	9.85146i	−0.113717	+	0.428730i
$529$	−7.05362	+	12.2172i	−0.306679	+	0.531184i
$530$	−12.7375	−	22.0620i	−0.553281	−	0.958310i
$531$	−1.49505	−	0.853117i	−0.0648796	−	0.0370221i
$532$	9.47082	−	6.18863i	0.410612	−	0.268311i
$533$	−10.7166	−	13.9703i	−0.464189	−	0.605120i
$534$	−11.0250	+	2.98402i	−0.477096	+	0.129131i
$535$			2.65506i			0.114788i
$536$		−	9.47635i		−	0.409316i
$537$	12.4864	+	12.4234i	0.538826	+	0.536108i
$538$		−	38.0444i		−	1.64021i
$539$	−13.2392	+	9.73392i	−0.570254	+	0.419269i
$540$	14.7229	−	56.6621i	0.633571	−	2.43835i
$541$	−19.9675	+	34.5848i	−0.858472	+	1.48692i	0.0149143	+	0.999889i	$0.495252\pi$
$541$	−19.9675	+	34.5848i	−0.858472	+	1.48692i	−0.873386	+	0.487028i	$0.838081\pi$
$542$	−7.17696	+	12.4309i	−0.308277	+	0.533951i
$543$	−22.0083	−	21.8972i	−0.944465	−	0.939701i
$544$	15.2917	−	8.82868i	0.655627	−	0.378527i
$545$	30.8504			1.32149
$546$	35.6394	−	17.2280i	1.52523	−	0.737291i
$547$	9.62236			0.411422			0.205711	−	0.978613i	$-0.434049\pi$
$547$	9.62236			0.411422			0.205711	+	0.978613i	$0.434049\pi$
$548$	9.80173	−	5.65903i	0.418709	−	0.241742i
$549$	26.5415	−	0.134214i	1.13276	−	0.00572811i
$550$	11.4618	−	19.8524i	0.488733	−	0.846510i
$551$	2.28603	−	3.95952i	0.0973880	−	0.168681i
$552$	−20.8100	−	5.51967i	−0.885733	−	0.234933i
$553$	19.1938	+	29.3734i	0.816204	+	1.24909i
$554$		−	68.8353i		−	2.92453i
$555$	−16.3197	+	16.4025i	−0.692735	+	0.696247i
$556$			58.5824i			2.48445i
$557$		−	4.62127i		−	0.195809i	−0.995196	−	0.0979047i	$-0.968786\pi$
$557$		−	4.62127i		−	0.195809i	0.995196	−	0.0979047i	$-0.0312140\pi$
$558$	−49.9724	−	28.5156i	−2.11550	−	1.20716i
$559$	−8.66241	+	1.13918i	−0.366381	+	0.0481822i
$560$	−9.02023	+	17.8278i	−0.381174	+	0.753363i
$561$	29.7292	−	8.04653i	1.25517	−	0.339725i
$562$	16.3277	+	28.2805i	0.688744	+	1.19294i
$563$	−15.7494	+	27.2788i	−0.663759	+	1.14966i	0.315861	+	0.948805i	$0.397707\pi$
$563$	−15.7494	+	27.2788i	−0.663759	+	1.14966i	−0.979620	+	0.200859i	$0.935627\pi$
$564$	−63.8230	−	16.9285i	−2.68743	−	0.712818i
$565$		−	8.20668i		−	0.345258i
$566$	33.2505	+	57.5916i	1.39762	+	2.42076i
$567$	10.5348	−	21.3546i	0.442418	−	0.896809i
$568$	4.72578	+	8.18529i	0.198289	+	0.343447i
$569$	25.6881	−	14.8311i	1.07690	−	0.621750i	0.146844	−	0.989160i	$-0.453089\pi$
$569$	25.6881	−	14.8311i	1.07690	−	0.621750i	0.930059	+	0.367409i	$0.119755\pi$
$570$	−10.0818	+	10.1329i	−0.422279	+	0.424419i
$571$	−0.414519	−	0.717968i	−0.0173471	−	0.0300460i	0.857222	−	0.514948i	$-0.172189\pi$
$571$	−0.414519	−	0.717968i	−0.0173471	−	0.0300460i	−0.874569	+	0.484902i	$0.838855\pi$
$572$	25.1156	−	19.2662i	1.05013	−	0.805560i
$573$	4.28450	+	4.26289i	0.178988	+	0.178085i
$574$	27.6200	+	13.9747i	1.15284	+	0.583293i
$575$	10.5263	+	6.07738i	0.438978	+	0.253444i
$576$	−0.160774	−	31.7940i	−0.00669893	−	1.32475i
$577$	−5.14146	+	2.96842i	−0.214042	+	0.123577i	−0.603188	−	0.797599i	$-0.706103\pi$
$577$	−5.14146	+	2.96842i	−0.214042	+	0.123577i	0.389147	+	0.921176i	$0.372770\pi$
$578$	83.7752	+	48.3676i	3.48459	+	2.01183i
$579$	−8.05155	+	8.09237i	−0.334611	+	0.336307i
$580$			45.0519i			1.87068i
$581$	−11.9082	+	23.5357i	−0.494036	+	0.976426i
$582$	9.35160	+	34.5510i	0.387636	+	1.43218i
$583$	−4.14279	−	7.17553i	−0.171577	−	0.297180i
$584$	0.834658	+	1.44567i	0.0345384	+	0.0598223i
$585$	−25.7549	+	19.9643i	−1.06483	+	0.825421i
$586$	20.1198	+	11.6162i	0.831140	+	0.479859i
$587$	−13.8587	+	24.0040i	−0.572012	+	0.990753i	0.424348	+	0.905499i	$0.360503\pi$
$587$	−13.8587	+	24.0040i	−0.572012	+	0.990753i	−0.996359	+	0.0852537i	$0.972830\pi$
$588$	−28.2457	+	35.4708i	−1.16483	+	1.46279i
$589$	4.57651	+	7.92674i	0.188572	+	0.326616i
$590$	−3.58649	−	2.07066i	−0.147653	−	0.0852477i
$591$	35.3109	−	9.55729i	1.45250	−	0.393134i
$592$	5.55765	−	9.62613i	0.228418	−	0.395631i
$593$	15.6217	−	27.0576i	0.641507	−	1.11112i	−0.343589	−	0.939120i	$-0.611643\pi$
$593$	15.6217	−	27.0576i	0.641507	−	1.11112i	0.985096	−	0.172003i	$-0.0550240\pi$
$594$	7.34935	−	28.2846i	0.301547	−	1.16053i
$595$	60.2840	−	3.33057i	2.47140	−	0.136540i
$596$	22.8426	+	13.1882i	0.935669	+	0.540209i
$597$	−2.90461	+	0.786163i	−0.118878	+	0.0321755i
$598$	15.6786	+	20.4387i	0.641145	+	0.835801i
$599$	−0.638289	+	0.368516i	−0.0260798	+	0.0150572i	−0.512983	−	0.858399i	$-0.671460\pi$
$599$	−0.638289	+	0.368516i	−0.0260798	+	0.0150572i	0.486903	+	0.873456i	$0.338126\pi$
$600$	7.54436	−	28.4434i	0.307997	−	1.16120i
$601$	−7.40310	−	4.27418i	−0.301979	−	0.174348i	0.341353	−	0.939935i	$-0.389115\pi$
$601$	−7.40310	−	4.27418i	−0.301979	−	0.174348i	−0.643332	+	0.765588i	$0.722448\pi$
$602$	12.8582	−	8.40206i	0.524060	−	0.342442i
$603$	0.0344883	+	6.82025i	0.00140447	+	0.277742i
$604$	27.8086			1.13152
$605$	−8.26854	+	14.3215i	−0.336164	+	0.582253i
$606$	−15.8856	+	59.8912i	−0.645308	+	2.43291i
$607$		−	45.1378i		−	1.83209i	−0.401081	−	0.916043i	$-0.631365\pi$
$607$		−	45.1378i		−	1.83209i	0.401081	−	0.916043i	$-0.368635\pi$
$608$	−1.33267	+	2.30825i	−0.0540469	+	0.0936120i
$609$	−3.71368	+	17.9439i	−0.150486	+	0.727124i
$610$	63.8565			2.58548
$611$	22.3700	+	29.1617i	0.904995	+	1.17976i
$612$	73.3834	−	42.8642i	2.96635	−	1.73268i
$613$	−24.1727			−0.976325			−0.488163	−	0.872753i	$-0.662333\pi$
$613$	−24.1727			−0.976325			−0.488163	+	0.872753i	$0.662333\pi$
$614$	−37.8946	−	65.6354i	−1.52930	−	2.64883i
$615$	−24.6299	−	6.53287i	−0.993174	−	0.263431i
$616$	−11.6879	+	23.1002i	−0.470918	+	0.930735i
$617$	−24.4243	+	14.1014i	−0.983286	+	0.567700i	−0.903261	−	0.429092i	$-0.858833\pi$
$617$	−24.4243	+	14.1014i	−0.983286	+	0.567700i	−0.0800253	+	0.996793i	$0.525500\pi$
$618$	−28.1996	+	28.3426i	−1.13436	+	1.14011i
$619$	11.2287	−	6.48287i	0.451318	−	0.260568i	−0.257069	−	0.966393i	$-0.582757\pi$
$619$	11.2287	−	6.48287i	0.451318	−	0.260568i	0.708387	+	0.705825i	$0.249423\pi$
$620$	−78.1081	−	45.0958i	−3.13690	−	1.81109i
$621$	14.9973	+	3.89684i	0.601821	+	0.156375i
$622$	−31.6478	−	18.2719i	−1.26896	−	0.732635i
$623$	−7.27119	+	0.401719i	−0.291314	+	0.0160945i
$624$	9.50000	−	12.4420i	0.380304	−	0.498079i
$625$	14.3832	−	24.9124i	0.575328	−	0.996498i
$626$	29.2882			1.17059
$627$	−3.27904	+	3.29566i	−0.130952	+	0.131616i
$628$			77.5176i			3.09329i
$629$	−33.5886			−1.33927
$630$	25.6049	−	51.2478i	1.02012	−	2.04176i
$631$	3.84197	+	6.65449i	0.152947	+	0.264911i	0.932309	−	0.361662i	$-0.117790\pi$
$631$	3.84197	+	6.65449i	0.152947	+	0.264911i	−0.779363	+	0.626573i	$0.784457\pi$
$632$	47.8743	+	27.6403i	1.90434	+	1.09947i
$633$	−2.50098	−	9.24026i	−0.0994049	−	0.367267i
$634$	73.3801			2.91430
$635$	−6.87160	−	11.9020i	−0.272691	−	0.472315i
$636$	−16.2073	−	16.1256i	−0.642662	−	0.639420i
$637$	24.5086	−	6.02733i	0.971066	−	0.238812i
$638$			22.4890i			0.890347i
$639$	−3.43099	−	5.87386i	−0.135728	−	0.232366i
$640$		−	62.4482i		−	2.46848i
$641$	19.7887	+	11.4250i	0.781605	+	0.451260i	0.836999	−	0.547205i	$-0.184308\pi$
$641$	19.7887	+	11.4250i	0.781605	+	0.451260i	−0.0553938	+	0.998465i	$0.517641\pi$
$642$	0.955461	+	3.53010i	0.0377090	+	0.139322i
$643$	−2.15372	+	1.24345i	−0.0849343	+	0.0490368i	−0.541866	−	0.840465i	$-0.682282\pi$
$643$	−2.15372	+	1.24345i	−0.0849343	+	0.0490368i	0.456931	+	0.889502i	$0.348949\pi$
$644$	−26.3284	−	13.3212i	−1.03749	−	0.524930i
$645$	−8.91827	+	8.96349i	−0.351157	+	0.352937i
$646$	−20.7499			−0.816392
$647$	32.5440			1.27944			0.639718	−	0.768610i	$-0.279051\pi$
$647$	32.5440			1.27944			0.639718	+	0.768610i	$0.279051\pi$
$648$	−0.379393	−	37.5126i	−0.0149040	−	1.47363i
$649$	−1.16649	−	0.673471i	−0.0457885	−	0.0264360i
$650$	−27.9359	+	21.4297i	−1.09574	+	0.840542i
$651$	−27.3928	−	24.4000i	−1.07361	−	0.956309i
$652$	5.92807	−	10.2677i	0.232161	−	0.402115i
$653$	0.0120422	−	0.00695258i	0.000471248	−	0.000272075i	−0.499764	−	0.866161i	$-0.666580\pi$
$653$	0.0120422	−	0.00695258i	0.000471248	−	0.000272075i	0.500236	+	0.865889i	$0.333247\pi$
$654$	41.0179	−	11.1019i	1.60393	−	0.434120i
$655$	9.93670	+	17.2109i	0.388259	+	0.672485i
$656$	12.2410			0.477932
$657$	−0.605975	−	1.03743i	−0.0236413	−	0.0404740i
$658$	−57.6543	−	29.1710i	−2.24760	−	1.13720i
$659$	22.5680	−	13.0297i	0.879126	−	0.507564i	0.00875579	−	0.999962i	$-0.497213\pi$
$659$	22.5680	−	13.0297i	0.879126	−	0.507564i	0.870370	+	0.492398i	$0.163880\pi$
$660$	11.7447	−	44.2793i	0.457161	−	1.72357i
$661$			6.80122i			0.264537i	0.991214	+	0.132268i	$0.0422261\pi$
$661$			6.80122i			0.264537i	−0.991214	+	0.132268i	$0.957774\pi$
$662$	36.1319	−	20.8608i	1.40431	−	0.810777i
$663$	−46.9143	−	6.06251i	−1.82200	−	0.235448i
$664$			41.5556i			1.61267i
$665$	−7.62924	+	4.98526i	−0.295849	+	0.193320i
$666$	−15.7957	+	27.6812i	−0.612069	+	1.07262i
$667$	−11.9243			−0.461711
$668$	8.04240	+	13.9299i	0.311170	+	0.538962i
$669$	24.0845	−	6.51874i	0.931161	−	0.252029i
$670$			16.4089i			0.633932i
$671$	20.7690			0.801778
$672$	2.16494	−	10.4607i	0.0835144	−	0.403529i
$673$	−2.26755	+	3.92750i	−0.0874075	+	0.151394i	−0.906415	−	0.422389i	$-0.861192\pi$
$673$	−2.26755	+	3.92750i	−0.0874075	+	0.151394i	0.819007	+	0.573783i	$0.194525\pi$
$674$	−40.2213	+	23.2218i	−1.54927	+	0.894469i
$675$	−5.32626	+	20.4985i	−0.205008	+	0.788989i
$676$	−46.9648	+	12.5699i	−1.80634	+	0.483458i
$677$	−15.3870	+	26.6510i	−0.591369	+	1.02428i	0.402679	+	0.915341i	$0.368079\pi$
$677$	−15.3870	+	26.6510i	−0.591369	+	1.02428i	−0.994048	+	0.108940i	$0.965254\pi$
$678$	−2.95329	−	10.9114i	−0.113420	−	0.419049i
$679$	1.25894	+	22.7871i	0.0483137	+	0.874489i
$680$	82.3763	−	47.5600i	3.15899	−	1.82384i
$681$	0.0616986	+	0.227955i	0.00236429	+	0.00873526i
$682$	−38.9900	−	22.5109i	−1.49300	−	0.861987i
$683$	1.75409	+	1.01272i	0.0671182	+	0.0387507i	0.533184	−	0.846000i	$-0.320996\pi$
$683$	1.75409	+	1.01272i	0.0671182	+	0.0387507i	−0.466065	+	0.884750i	$0.654329\pi$
$684$	−6.35790	+	11.1419i	−0.243100	+	0.426023i
$685$	−7.89581	+	4.55865i	−0.301683	+	0.174177i
$686$	−34.2441	+	28.2154i	−1.30744	+	1.07727i
$687$	1.00637	−	0.272385i	0.0383954	−	0.0103921i
$688$	3.03709	−	5.26040i	0.115788	−	0.200551i
$689$	1.65928	+	12.6173i	0.0632136	+	0.480681i
$690$	36.0339	+	9.55767i	1.37179	+	0.363854i
$691$	44.9880	−	25.9739i	1.71143	−	0.988092i	0.778781	−	0.627296i	$-0.215838\pi$
$691$	44.9880	−	25.9739i	1.71143	−	0.988092i	0.932645	−	0.360796i	$-0.117495\pi$
$692$	−36.6848	+	63.5399i	−1.39455	+	2.41542i
$693$	8.32783	−	16.6681i	0.316348	−	0.633167i
$694$	0.232870			0.00883961
$695$		−	47.1912i		−	1.79006i
$696$	7.54234	+	27.8664i	0.285892	+	1.05627i
$697$	−18.4952	−	32.0346i	−0.700556	−	1.21340i
$698$	−46.0393			−1.74261
$699$	−23.9011	+	6.46909i	−0.904021	+	0.244683i
$700$	18.2076	−	35.9861i	0.688184	−	1.36015i
$701$		−	32.3744i		−	1.22276i	−0.791335	−	0.611382i	$-0.790614\pi$
$701$		−	32.3744i		−	1.22276i	0.791335	−	0.611382i	$-0.209386\pi$
$702$	−27.0586	+	35.8122i	−1.02126	+	1.35165i
$703$	4.39086	−	2.53507i	0.165605	−	0.0956118i
$704$		−	24.8791i		−	0.937666i
$705$	51.4128	+	13.6368i	1.93632	+	0.513591i
$706$	−4.87102	+	2.81228i	−0.183323	+	0.105842i
$707$	−17.8357	+	35.2509i	−0.670780	+	1.32575i
$708$	−3.59246	−	0.952869i	−0.135013	−	0.0358110i
$709$	33.4078			1.25466			0.627329	−	0.778755i	$-0.284148\pi$
$709$	33.4078			1.25466			0.627329	+	0.778755i	$0.284148\pi$
$710$	−8.18300	−	14.1734i	−0.307102	−	0.531917i
$711$	−34.5564	−	19.7188i	−1.29596	−	0.739513i
$712$	−9.93587	+	5.73648i	−0.372362	+	0.214984i
$713$	11.9359	−	20.6736i	0.447004	−	0.774234i
$714$	78.9535	−	26.1223i	2.95476	−	0.977602i
$715$	−20.2319	+	15.5199i	−0.756630	+	0.580412i
$716$	32.9365	+	19.0159i	1.23089	+	0.710657i
$717$	21.4437	+	21.3355i	0.800829	+	0.796790i
$718$	−11.7838			−0.439769
$719$	−14.0626			−0.524448			−0.262224	−	0.965007i	$-0.584456\pi$
$719$	−14.0626			−0.524448			−0.262224	+	0.965007i	$0.584456\pi$
$720$	−0.114560	−	22.6548i	−0.00426938	−	0.844294i
$721$	−21.3397	+	13.9442i	−0.794732	+	0.519311i
$722$	−36.7090	+	21.1940i	−1.36617	+	0.788758i
$723$	22.9627	−	6.21512i	0.853994	−	0.231143i
$724$	−58.0534	−	33.5171i	−2.15754	−	1.24565i
$725$		−	16.2983i		−	0.605305i
$726$	−5.83984	+	22.0171i	−0.216737	+	0.817131i
$727$			24.2189i			0.898230i	0.893474	+	0.449115i	$0.148261\pi$
$727$			24.2189i			0.898230i	−0.893474	+	0.449115i	$0.851739\pi$
$728$	30.1663	−	25.9052i	1.11804	−	0.960109i
$729$	0.409577	+	26.9969i	0.0151695	+	0.999885i
$730$	−1.44526	−	2.50327i	−0.0534916	−	0.0926502i
$731$	−18.3552			−0.678892
$732$	55.3185	−	14.9726i	2.04463	−	0.553402i
$733$	34.5195	+	19.9298i	1.27501	+	0.736125i	0.975926	−	0.218103i	$-0.0699867\pi$
$733$	34.5195	+	19.9298i	1.27501	+	0.736125i	0.299081	+	0.954228i	$0.403320\pi$
$734$	6.28639	+	10.8884i	0.232035	+	0.401896i
$735$	22.7534	−	28.5735i	0.839270	−	1.05395i
$736$	6.95144			0.256234
$737$			5.33691i			0.196588i
$738$	−35.0982	+	0.177483i	−1.29198	+	0.00653324i
$739$	−44.7596			−1.64651			−0.823254	−	0.567673i	$-0.807844\pi$
$739$	−44.7596			−1.64651			−0.823254	+	0.567673i	$0.807844\pi$
$740$	−24.9799	+	43.2665i	−0.918279	+	1.59051i
$741$	6.59042	−	2.74829i	0.242105	−	0.100961i
$742$	−12.2381	−	18.7287i	−0.449274	−	0.687551i
$743$	−32.0510	−	18.5047i	−1.17584	−	0.678870i	−0.220790	−	0.975321i	$-0.570863\pi$
$743$	−32.0510	−	18.5047i	−1.17584	−	0.678870i	−0.955048	+	0.296451i	$0.904197\pi$
$744$	−55.8627	−	14.8171i	−2.04803	−	0.543220i
$745$	−18.4009	−	10.6238i	−0.674157	−	0.389225i
$746$	−67.0835	+	38.7307i	−2.45610	+	1.41803i
$747$	−0.151238	−	29.9081i	−0.00553350	−	1.09428i
$748$	57.5913	−	33.2504i	2.10575	−	1.21575i
$749$	0.128627	+	2.32818i	0.00469994	+	0.0850698i
$750$	2.96165	−	11.1659i	0.108144	−	0.407720i
$751$	8.76983	+	15.1898i	0.320016	+	0.554284i	0.980491	−	0.196564i	$-0.0629784\pi$
$751$	8.76983	+	15.1898i	0.320016	+	0.554284i	−0.660475	+	0.750848i	$0.729645\pi$
$752$	−25.5521			−0.931788
$753$	48.6977	+	12.9166i	1.77464	+	0.470708i
$754$	13.2228	−	31.9100i	0.481547	−	1.16209i
$755$	−22.4013			−0.815266
$756$	10.1652	−	50.3993i	0.369703	−	1.83300i
$757$	−3.24870	+	5.62691i	−0.118076	+	0.204514i	−0.919005	−	0.394245i	$-0.871006\pi$
$757$	−3.24870	+	5.62691i	−0.118076	+	0.204514i	0.800929	+	0.598759i	$0.204339\pi$
$758$			10.2740i			0.373169i
$759$	11.7198	+	3.10858i	0.425402	+	0.112834i
$760$	−7.17908	+	12.4345i	−0.260413	+	0.451048i
$761$	5.41318			0.196228			0.0981138	−	0.995175i	$-0.468719\pi$
$761$	5.41318			0.196228			0.0981138	+	0.995175i	$0.468719\pi$
$762$	−13.4194	−	13.3517i	−0.486133	−	0.483681i
$763$	27.0522	−	1.49458i	0.979354	−	0.0541074i
$764$	11.3017	+	6.52502i	0.408880	+	0.236067i
$765$	−59.1142	+	34.5293i	−2.13728	+	1.24841i
$766$	−33.7161	+	19.4660i	−1.21821	+	0.703336i
$767$	1.25916	+	1.64145i	0.0454657	+	0.0592695i
$768$	−12.8812	−	47.5916i	−0.464809	−	1.71731i
$769$	6.05121	+	3.49367i	0.218212	+	0.125985i	0.605122	−	0.796133i	$-0.293124\pi$
$769$	6.05121	+	3.49367i	0.218212	+	0.125985i	−0.386910	+	0.922118i	$0.626458\pi$
$770$	20.2383	−	39.9995i	0.729338	−	1.44148i
$771$	−0.945721	−	0.250844i	−0.0340593	−	0.00903393i
$772$	−12.3241	+	21.3460i	−0.443556	+	0.768261i
$773$	21.1330	−	36.6034i	0.760101	−	1.31653i	−0.182697	−	0.983169i	$-0.558483\pi$
$773$	21.1330	−	36.6034i	0.760101	−	1.31653i	0.942798	−	0.333365i	$-0.108184\pi$
$774$	−8.63187	+	15.1270i	−0.310266	+	0.543728i
$775$	28.2570	+	16.3142i	1.01502	+	0.586023i
$776$	17.9775	+	31.1379i	0.645354	+	1.11779i
$777$	−13.5159	+	15.1737i	−0.484879	+	0.544353i
$778$	11.1850	−	19.3731i	0.401003	−	0.694558i
$779$	4.83556	+	2.79181i	0.173252	+	0.100027i
$780$	−42.6995	+	55.9230i	−1.52889	+	2.00236i
$781$	−2.66147	−	4.60981i	−0.0952350	−	0.164952i
$782$	27.0587	+	46.8671i	0.967618	+	1.67596i
$783$	−5.52973	−	20.0283i	−0.197616	−	0.715754i
$784$	−7.04599	+	16.0699i	−0.251643	+	0.573925i
$785$		−	62.4445i		−	2.22874i
$786$	19.4051	+	19.3073i	0.692159	+	0.688667i
$787$	5.50286	+	3.17708i	0.196156	+	0.113251i	0.594861	−	0.803828i	$-0.297207\pi$
$787$	5.50286	+	3.17708i	0.196156	+	0.113251i	−0.398705	+	0.917079i	$0.630540\pi$
$788$	68.4043	−	39.4932i	2.43680	−	1.40689i
$789$	25.6770	+	25.5475i	0.914125	+	0.909514i
$790$	−82.8975	−	47.8609i	−2.94936	−	1.70281i
$791$	−0.397581	−	7.19630i	−0.0141363	−	0.255871i
$792$	−0.148439	−	29.3547i	−0.00527456	−	1.04307i
$793$	−29.4694	−	12.2115i	−1.04649	−	0.433644i
$794$	0.302900	+	0.524639i	0.0107495	+	0.0186187i
$795$	13.0558	+	12.9900i	0.463043	+	0.460707i
$796$	−5.62680	+	3.24863i	−0.199436	+	0.115145i
$797$	2.27331	+	3.93749i	0.0805247	+	0.139473i	0.903475	−	0.428640i	$-0.141007\pi$
$797$	2.27331	+	3.93749i	0.0805247	+	0.139473i	−0.822951	+	0.568113i	$0.807674\pi$
$798$	−8.34963	+	9.37376i	−0.295574	+	0.331828i
$799$	38.6071	+	66.8695i	1.36582	+	2.36567i
$800$			9.50133i			0.335923i
$801$	7.13009	−	4.16477i	0.251929	−	0.147155i
$802$	−22.5991	+	39.1428i	−0.798001	+	1.38218i
$803$	−0.470064	−	0.814175i	−0.0165882	−	0.0287316i
$804$	3.84743	+	14.2149i	0.135688	+	0.501323i
$805$	21.2089	+	10.7309i	0.747516	+	0.378216i
$806$	42.0878	+	54.8660i	1.48248	+	1.93257i
$807$	7.18580	+	26.5491i	0.252952	+	0.934572i
$808$			62.2405i			2.18961i
$809$			24.9030i			0.875543i	0.899086	+	0.437771i	$0.144232\pi$
$809$			24.9030i			0.875543i	−0.899086	+	0.437771i	$0.855768\pi$
$810$	0.656944	+	64.9555i	0.0230827	+	2.28230i
$811$			5.09180i			0.178797i	0.995996	+	0.0893986i	$0.0284945\pi$
$811$			5.09180i			0.178797i	−0.995996	+	0.0893986i	$0.971506\pi$
$812$	2.18258	+	39.5052i	0.0765936	+	1.38636i
$813$	2.66047	−	10.0304i	0.0933069	−	0.351781i
$814$	−12.4695	+	21.5977i	−0.437054	+	0.757000i
$815$	−4.77537	+	8.27118i	−0.167274	+	0.289727i
$816$	23.1960	−	23.3135i	0.812021	−	0.816137i
$817$	2.39948	−	1.38534i	0.0839472	−	0.0484669i
$818$	−18.9554			−0.662762
$819$	−21.6168	+	18.7540i	−0.755352	+	0.655319i
$820$	−55.0196			−1.92137
$821$	−30.8996	+	17.8399i	−1.07840	+	0.622617i	−0.930465	−	0.366380i	$-0.880597\pi$
$821$	−30.8996	+	17.8399i	−1.07840	+	0.622617i	−0.147939	+	0.988997i	$0.547264\pi$
$822$	−8.85757	+	8.90247i	−0.308943	+	0.310509i
$823$	−17.4699	+	30.2588i	−0.608964	+	1.05476i	0.382448	+	0.923977i	$0.375081\pi$
$823$	−17.4699	+	30.2588i	−0.608964	+	1.05476i	−0.991412	+	0.130779i	$0.958252\pi$
$824$	−20.0806	+	34.7805i	−0.699539	+	1.21164i
$825$	−4.24885	+	16.0188i	−0.147926	+	0.557703i
$826$	−3.24524	−	1.64197i	−0.112916	−	0.0571316i
$827$			1.15820i			0.0402746i	0.999797	+	0.0201373i	$0.00641033\pi$
$827$			1.15820i			0.0402746i	−0.999797	+	0.0201373i	$0.993590\pi$
$828$	33.4569	−	0.169183i	1.16271	−	0.00587953i
$829$			39.2091i			1.36179i	0.732381	+	0.680895i	$0.238409\pi$
$829$			39.2091i			1.36179i	−0.732381	+	0.680895i	$0.761591\pi$
$830$		−	71.9562i		−	2.49764i
$831$	13.0016	+	48.0364i	0.451019	+	1.66636i
$832$	−14.6281	+	35.3013i	−0.507139	+	1.22385i
$833$	52.7007	−	5.84104i	1.82597	−	0.202380i
$834$	−16.9824	−	62.7442i	−0.588052	−	2.17265i
$835$	−6.47858	−	11.2212i	−0.224200	−	0.388327i
$836$	−5.01907	+	8.69329i	−0.173588	+	0.300664i
$837$	40.2590	+	10.4607i	1.39155	+	0.361576i
$838$		−	15.3742i		−	0.531093i
$839$	−24.1607	−	41.8475i	−0.834119	−	1.44474i	−0.894746	−	0.446575i	$-0.852643\pi$
$839$	−24.1607	−	41.8475i	−0.834119	−	1.44474i	0.0606274	−	0.998160i	$-0.480690\pi$
$840$	11.6625	−	56.3514i	0.402395	−	1.94431i
$841$	−6.50534	−	11.2676i	−0.224322	−	0.388537i
$842$	56.4507	−	32.5918i	1.94542	−	1.12319i
$843$	−16.7358	−	16.6514i	−0.576412	−	0.573505i
$844$	−10.3347	−	17.9002i	−0.355735	−	0.616151i
$845$	37.8326	−	10.1257i	1.30148	−	0.348336i
$846$	73.2645	−	0.370480i	2.51888	−	0.0127374i
$847$	−6.55672	+	12.9589i	−0.225292	+	0.445273i
$848$	−7.66208	−	4.42371i	−0.263117	−	0.151911i
$849$	−34.0816	−	33.9097i	−1.16968	−	1.16378i
$850$	−64.0586	+	36.9842i	−2.19719	+	1.26855i
$851$	−11.4518	−	6.61167i	−0.392561	−	0.226645i
$852$	−10.4121	−	10.3596i	−0.356714	−	0.354915i
$853$			40.9592i			1.40242i	0.712956	+	0.701209i	$0.247356\pi$
$853$			40.9592i			1.40242i	−0.712956	+	0.701209i	$0.752644\pi$
$854$	55.9947	−	3.09359i	1.91610	−	0.105861i
$855$	5.12162	−	8.97542i	0.175156	−	0.306953i
$856$	1.83678	+	3.18139i	0.0627797	+	0.108738i
$857$	−25.1618	−	43.5814i	−0.859509	−	1.48871i	−0.872398	−	0.488797i	$-0.837436\pi$
$857$	−25.1618	−	43.5814i	−0.859509	−	1.48871i	0.0128882	−	0.999917i	$-0.495897\pi$
$858$	−21.3147	+	27.9156i	−0.727673	+	0.953023i
$859$	−28.0631	−	16.2022i	−0.957499	−	0.552812i	−0.0620968	−	0.998070i	$-0.519779\pi$
$859$	−28.0631	−	16.2022i	−0.957499	−	0.552812i	−0.895402	+	0.445258i	$0.853112\pi$
$860$	−13.6508	+	23.6439i	−0.465488	+	0.806249i
$861$	−21.9140	−	4.53534i	−0.746828	−	0.154564i
$862$	27.0560	+	46.8624i	0.921532	+	1.59614i
$863$	14.0230	+	8.09617i	0.477348	+	0.275597i	0.719311	−	0.694689i	$-0.244458\pi$
$863$	14.0230	+	8.09617i	0.477348	+	0.275597i	−0.241963	+	0.970286i	$0.577791\pi$
$864$	3.22363	+	11.6758i	0.109670	+	0.397218i
$865$	29.5515	−	51.1847i	1.00478	−	1.74033i
$866$	−32.9485	+	57.0685i	−1.11964	+	1.93927i
$867$	−67.5978	−	17.9297i	−2.29574	−	0.608925i
$868$	−70.6764	−	35.7597i	−2.39891	−	1.21376i
$869$	−26.9620	−	15.5665i	−0.914622	−	0.528057i
$870$	−13.0600	−	48.2524i	−0.442777	−	1.63591i
$871$	3.13794	−	7.57262i	0.106325	−	0.256588i
$872$	36.9660	−	21.3423i	1.25183	−	0.722742i
$873$	−13.0519	−	22.3449i	−0.441741	−	0.756260i
$874$	−7.07449	−	4.08446i	−0.239298	−	0.138159i
$875$	3.32521	−	6.57203i	0.112413	−	0.222175i
$876$	−1.83897	−	1.82970i	−0.0621331	−	0.0618197i
$877$	−19.3047			−0.651874			−0.325937	−	0.945391i	$-0.605680\pi$
$877$	−19.3047			−0.651874			−0.325937	+	0.945391i	$0.605680\pi$
$878$	32.2911	−	55.9297i	1.08977	−	1.88754i
$879$	−16.2345	−	4.30607i	−0.547577	−	0.145240i
$880$		−	17.7276i		−	0.597596i
$881$	13.8104	−	23.9203i	0.465285	−	0.805897i	−0.533930	−	0.845529i	$-0.679285\pi$
$881$	13.8104	−	23.9203i	0.465285	−	0.805897i	0.999214	+	0.0396322i	$0.0126186\pi$
$882$	19.9697	−	46.1788i	0.672415	−	1.55492i
$883$	−46.7289			−1.57255			−0.786276	−	0.617876i	$-0.787994\pi$
$883$	−46.7289			−1.57255			−0.786276	+	0.617876i	$0.787994\pi$
$884$	−101.267	+	13.3175i	−3.40599	+	0.447917i
$885$	2.89392	+	0.767586i	0.0972780	+	0.0258021i
$886$	30.8857			1.03762
$887$	−19.9599	−	34.5716i	−0.670189	−	1.16080i	−0.977850	−	0.209305i	$-0.932880\pi$
$887$	−19.9599	−	34.5716i	−0.670189	−	1.16080i	0.307662	−	0.951496i	$-0.400453\pi$
$888$	−8.20763	+	30.9440i	−0.275430	+	1.03841i
$889$	−6.60218	−	10.1037i	−0.221430	−	0.338868i
$890$	17.2046	−	9.93308i	0.576699	−	0.332958i
$891$	0.213667	+	21.1264i	0.00715812	+	0.707761i
$892$	46.6565	−	26.9371i	1.56217	−	0.901922i
$893$	−10.0938	−	5.82766i	−0.337776	−	0.195015i
$894$	−28.2885	−	7.50326i	−0.946108	−	0.250947i
$895$	−26.5321	−	15.3183i	−0.886869	−	0.512034i
$896$	−3.02536	−	54.7597i	−0.101070	−	1.82939i
$897$	−14.8017	−	11.3017i	−0.494214	−	0.377353i
$898$	21.2183	−	36.7512i	0.708065	−	1.22640i
$899$	−32.0098			−1.06759
$900$	0.231242	+	45.7294i	0.00770807	+	1.52431i
$901$			26.7354i			0.890687i
$902$	−27.4647			−0.914474
$903$	−7.38603	+	8.29198i	−0.245792	+	0.275940i
$904$	−5.67739	−	9.83352i	−0.188827	−	0.327058i
$905$	46.7650	+	26.9998i	1.55452	+	0.897504i
$906$	−29.7841	+	8.06140i	−0.989512	+	0.267822i
$907$	18.3161			0.608176			0.304088	−	0.952644i	$-0.401648\pi$
$907$	18.3161			0.608176			0.304088	+	0.952644i	$0.401648\pi$
$908$	0.254955	+	0.441594i	0.00846096	+	0.0146548i
$909$	−0.226518	−	44.7952i	−0.00751314	−	1.48576i
$910$	−52.2349	+	44.8564i	−1.73157	+	1.48698i
$911$			31.3937i			1.04012i	0.854130	+	0.520060i	$0.174090\pi$
$911$			31.3937i			1.04012i	−0.854130	+	0.520060i	$0.825910\pi$
$912$	−1.27272	+	4.79835i	−0.0421439	+	0.158889i
$913$		−	23.4034i		−	0.774538i
$914$	−56.0046	−	32.3343i	−1.85247	−	1.06952i
$915$	−44.5620	+	12.0612i	−1.47317	+	0.398731i
$916$	1.94954	−	1.12557i	0.0644145	−	0.0371897i
$917$	9.54712	+	14.6105i	0.315274	+	0.482482i
$918$	−66.1708	+	67.1823i	−2.18396	+	2.21735i
$919$	45.6906			1.50719			0.753597	−	0.657337i	$-0.228317\pi$
$919$	45.6906			1.50719			0.753597	+	0.657337i	$0.228317\pi$
$920$	37.4473			1.23460
$921$	38.8418	+	38.6459i	1.27988	+	1.27342i
$922$	37.4630	+	21.6293i	1.23378	+	0.712323i
$923$	1.06598	+	8.10579i	0.0350871	+	0.266805i
$924$	8.15355	−	39.3967i	0.268232	−	1.29606i
$925$	9.03693	−	15.6524i	0.297132	−	0.514648i
$926$	16.0822	−	9.28505i	0.528493	−	0.305126i
$927$	14.3256	−	25.1051i	0.470516	−	0.824559i
$928$	−4.66060	−	8.07239i	−0.152992	−	0.264989i
$929$	3.79785			0.124603			0.0623017	−	0.998057i	$-0.480156\pi$
$929$	3.79785			0.124603			0.0623017	+	0.998057i	$0.480156\pi$
$930$	96.7298	+	25.6567i	3.17190	+	0.841317i
$931$	−6.44843	+	4.74110i	−0.211339	+	0.155383i
$932$	−46.3011	+	26.7320i	−1.51664	+	0.875634i
$933$	25.5364	+	6.77331i	0.836025	+	0.221748i
$934$			45.5115i			1.48918i
$935$	−46.3928	+	26.7849i	−1.51721	+	0.875961i
$936$	−17.0490	+	41.7391i	−0.557265	+	1.36429i
$937$			39.4934i			1.29019i	0.764101	+	0.645096i	$0.223183\pi$
$937$			39.4934i			1.29019i	−0.764101	+	0.645096i	$0.776817\pi$
$938$	0.794946	+	14.3887i	0.0259559	+	0.469808i
$939$	−20.4387	+	5.53195i	−0.666990	+	0.180528i
$940$	114.849			3.74595
$941$	−9.67541	−	16.7583i	−0.315409	−	0.546305i	0.664115	−	0.747630i	$-0.268809\pi$
$941$	−9.67541	−	16.7583i	−0.315409	−	0.546305i	−0.979524	+	0.201325i	$0.935475\pi$
$942$	−22.4715	−	83.0245i	−0.732161	−	2.70509i
$943$		−	14.5626i		−	0.474223i
$944$	−1.43827			−0.0468118
$945$	−8.18857	+	40.5993i	−0.266374	+	1.32069i
$946$	−6.81420	+	11.8025i	−0.221549	+	0.383734i
$947$	−11.3104	+	6.53008i	−0.367540	+	0.212199i	−0.672383	−	0.740203i	$-0.734729\pi$
$947$	−11.3104	+	6.53008i	−0.367540	+	0.212199i	0.304843	+	0.952402i	$0.401396\pi$
$948$	−83.0357	−	22.0245i	−2.69687	−	0.715322i
$949$	0.188271	+	1.43163i	0.00611154	+	0.0464726i
$950$	5.58269	−	9.66951i	0.181127	−	0.313720i
$951$	−51.2080	+	13.8600i	−1.66053	+	0.449441i
$952$	69.9303	−	45.6953i	2.26645	−	1.48099i
$953$	−6.45680	+	3.72784i	−0.209156	+	0.120756i	−0.600919	−	0.799310i	$-0.705199\pi$
$953$	−6.45680	+	3.72784i	−0.209156	+	0.120756i	0.391763	+	0.920066i	$0.371865\pi$
$954$	22.0333	+	12.5728i	0.713355	+	0.407060i
$955$	−9.10408	−	5.25624i	−0.294601	−	0.170088i
$956$	56.5642	+	32.6573i	1.82942	+	1.05621i
$957$	−4.24771	−	15.6938i	−0.137309	−	0.507310i
$958$	22.0138	−	12.7097i	0.711234	−	0.410631i
$959$	−6.70285	+	4.37992i	−0.216446	+	0.141435i
$960$	14.4481	+	53.3806i	0.466309	+	1.72285i
$961$	16.5410	−	28.6498i	0.533580	−	0.924187i
$962$	30.3919	−	23.3137i	0.979874	−	0.751664i
$963$	−1.33353	−	2.28300i	−0.0429723	−	0.0735686i
$964$	44.4834	−	25.6825i	1.43271	−	0.827177i
$965$	9.92774	−	17.1954i	0.319585	−	0.553538i
$966$	32.0605	+	6.63525i	1.03153	+	0.213486i
$967$	−28.3666			−0.912210			−0.456105	−	0.889926i	$-0.650756\pi$
$967$	−28.3666			−0.912210			−0.456105	+	0.889926i	$0.650756\pi$
$968$			22.8807i			0.735415i
$969$	14.4802	−	3.91922i	0.465171	−	0.125904i
$970$	−31.1292	−	53.9173i	−0.999497	−	1.73118i
$971$	11.9843			0.384595			0.192297	−	0.981337i	$-0.438406\pi$
$971$	11.9843			0.384595			0.192297	+	0.981337i	$0.438406\pi$
$972$	15.7993	+	56.1165i	0.506764	+	1.79994i
$973$	−2.28622	−	41.3811i	−0.0732930	−	1.32662i
$974$			82.1739i			2.63302i
$975$	15.4473	−	20.2311i	0.494710	−	0.647915i
$976$	19.2061	−	11.0886i	0.614772	−	0.354939i
$977$			31.1468i			0.996475i	0.867040	+	0.498238i	$0.166019\pi$
$977$			31.1468i			0.996475i	−0.867040	+	0.498238i	$0.833981\pi$
$978$	−3.37271	+	12.7156i	−0.107847	+	0.406601i
$979$	5.59570	−	3.23068i	0.178839	−	0.103253i
$980$	31.6695	−	72.2292i	1.01165	−	2.30728i
$981$	−26.5272	+	15.4949i	−0.846948	+	0.494713i
$982$	−37.6355			−1.20100
$983$	15.5338	+	26.9053i	0.495451	+	0.858146i	0.999986	−	0.00524482i	$-0.00166949\pi$
$983$	15.5338	+	26.9053i	0.495451	+	0.858146i	−0.504535	+	0.863391i	$0.668336\pi$
$984$	−34.0318	+	9.21109i	−1.08490	+	0.293639i
$985$	−55.1032	+	31.8139i	−1.75573	+	1.01367i
$986$	36.2831	−	62.8441i	1.15549	−	2.00136i
$987$	45.7436	+	9.46711i	1.45604	+	0.301342i
$988$	12.2330	−	9.38398i	0.389184	−	0.298544i
$989$	−6.25805	−	3.61309i	−0.198995	−	0.114890i
$990$	0.257032	+	50.8296i	0.00816902	+	1.61547i
$991$	45.3396			1.44026			0.720130	−	0.693839i	$-0.244082\pi$
$991$	45.3396			1.44026			0.720130	+	0.693839i	$0.244082\pi$
$992$	18.6605			0.592473
$993$	−21.2743	+	21.3822i	−0.675120	+	0.678543i
$994$	−7.86217	−	12.0319i	−0.249373	−	0.381630i
$995$	4.53268	−	2.61694i	0.143696	−	0.0829627i
$996$	−16.8717	−	62.3352i	−0.534601	−	1.97517i
$997$	−51.8473	−	29.9340i	−1.64202	−	0.948021i	−0.980114	−	0.198434i	$-0.936414\pi$
$997$	−51.8473	−	29.9340i	−1.64202	−	0.948021i	−0.661906	−	0.749587i	$-0.730252\pi$
$998$			70.4143i			2.22893i
$999$	5.79451	−	22.3007i	0.183330	−	0.705562i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	273.2.bf.b.152.4	yes	64
3.2	odd	2	inner	273.2.bf.b.152.29	yes	64
7.3	odd	6		273.2.r.b.269.4	yes	64
13.3	even	3		273.2.r.b.68.4	✓	64
21.17	even	6		273.2.r.b.269.29	yes	64
39.29	odd	6		273.2.r.b.68.29	yes	64
91.3	odd	6	inner	273.2.bf.b.185.29	yes	64
273.185	even	6	inner	273.2.bf.b.185.4	yes	64

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
273.2.r.b.68.4	✓	64	13.3	even	3
273.2.r.b.68.29	yes	64	39.29	odd	6
273.2.r.b.269.4	yes	64	7.3	odd	6
273.2.r.b.269.29	yes	64	21.17	even	6
273.2.bf.b.152.4	yes	64	1.1	even	1	trivial
273.2.bf.b.152.29	yes	64	3.2	odd	2	inner
273.2.bf.b.185.4	yes	64	273.185	even	6	inner
273.2.bf.b.185.29	yes	64	91.3	odd	6	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 $\F_{q}$
Belyi maps

Level:	\( N \)	\(=\)	\( 273 = 3 \cdot 7 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	273.bf (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-2.07482 + 1.19790i) q^{2} +(1.22164 - 1.22784i) q^{3} +(1.86992 - 3.23879i) q^{4} +(-1.50632 + 2.60901i) q^{5} +(-1.06387 + 4.01095i) q^{6} +(-1.19447 + 2.36077i) q^{7} +4.16828i q^{8} +(-0.0151701 - 2.99996i) q^{9} -7.21764i q^{10} -2.34750i q^{11} +(-1.69233 - 6.25260i) q^{12} +(-1.38026 + 3.33090i) q^{13} +(-0.349666 - 6.32902i) q^{14} +(1.36326 + 5.03680i) q^{15} +(-1.25334 - 2.17085i) q^{16} +(-3.78738 + 6.55994i) q^{17} +(3.62512 + 6.20621i) q^{18} -1.14340i q^{19} +(5.63336 + 9.75727i) q^{20} +(1.43944 + 4.35064i) q^{21} +(2.81206 + 4.87063i) q^{22} +(-2.58255 + 1.49104i) q^{23} +(5.11797 + 5.09215i) q^{24} +(-2.03797 - 3.52987i) q^{25} +(-1.12629 - 8.56442i) q^{26} +(-3.70200 - 3.64626i) q^{27} +(5.41250 + 8.28307i) q^{28} +(3.46295 + 1.99933i) q^{29} +(-8.86209 - 8.81739i) q^{30} +(-6.93264 + 4.00256i) q^{31} +(-2.01877 - 1.16554i) q^{32} +(-2.88235 - 2.86781i) q^{33} -18.1476i q^{34} +(-4.36005 - 6.67245i) q^{35} +(-9.74461 - 5.56054i) q^{36} +(2.21714 + 3.84020i) q^{37} +(1.36967 + 2.37234i) q^{38} +(2.40362 + 5.76391i) q^{39} +(-10.8751 - 6.27874i) q^{40} +(-2.44169 + 4.22913i) q^{41} +(-8.19818 - 7.30248i) q^{42} +(1.21160 + 2.09856i) q^{43} +(-7.60305 - 4.38962i) q^{44} +(7.84979 + 4.47931i) q^{45} +(3.57222 - 6.18726i) q^{46} +(5.09681 - 8.82793i) q^{47} +(-4.19658 - 1.11311i) q^{48} +(-4.14651 - 5.63972i) q^{49} +(8.45684 + 4.88256i) q^{50} +(3.42771 + 12.6642i) q^{51} +(8.20712 + 10.6989i) q^{52} +(3.05667 - 1.76477i) q^{53} +(12.0488 + 3.13072i) q^{54} +(6.12466 + 3.53607i) q^{55} +(-9.84036 - 4.97886i) q^{56} +(-1.40390 - 1.39682i) q^{57} -9.57998 q^{58} +(0.286889 - 0.496906i) q^{59} +(18.8623 + 5.00306i) q^{60} +8.84729i q^{61} +(9.58931 - 16.6092i) q^{62} +(7.10035 + 3.54754i) q^{63} +10.5981 q^{64} +(-6.61126 - 8.61849i) q^{65} +(9.41569 + 2.49743i) q^{66} -2.27345 q^{67} +(14.1642 + 24.5331i) q^{68} +(-1.32421 + 4.99247i) q^{69} +(17.0392 + 8.62122i) q^{70} +(1.96371 - 1.13375i) q^{71} +(12.5047 - 0.0632330i) q^{72} +(0.346827 - 0.200241i) q^{73} +(-9.20032 - 5.31181i) q^{74} +(-6.82378 - 1.80995i) q^{75} +(-3.70322 - 2.13805i) q^{76} +(5.54191 + 2.80400i) q^{77} +(-11.8916 - 9.07977i) q^{78} +(6.63110 - 11.4854i) q^{79} +7.55169 q^{80} +(-8.99954 + 0.0910192i) q^{81} -11.6996i q^{82} +9.96949 q^{83} +(16.7824 + 3.47329i) q^{84} +(-11.4100 - 19.7627i) q^{85} +(-5.02771 - 2.90275i) q^{86} +(6.68534 - 1.80946i) q^{87} +9.78503 q^{88} +(1.37622 + 2.38369i) q^{89} +(-21.6527 + 0.109492i) q^{90} +(-6.21483 - 7.23712i) q^{91} +11.1525i q^{92} +(-3.55472 + 13.4019i) q^{93} +24.4218i q^{94} +(2.98313 + 1.72231i) q^{95} +(-3.89731 + 1.05485i) q^{96} +(7.47021 - 4.31293i) q^{97} +(15.3591 + 6.73432i) q^{98} +(-7.04240 + 0.0356117i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 64 q + 32 q^{4} - 12 q^{6} - 4 q^{7} + 8 q^{9} + 6 q^{12} - 12 q^{13} - 9 q^{15} - 16 q^{16} + 2 q^{18} + 10 q^{21} + 10 q^{22} - 24 q^{25} - 50 q^{28} - 16 q^{30} - 24 q^{31} - 33 q^{39} + 90 q^{40} - 48 q^{42}+ \cdots + 22 q^{99}+O(q^{100}) \) 64 * q + 32 * q^4 - 12 * q^6 - 4 * q^7 + 8 * q^9 + 6 * q^12 - 12 * q^13 - 9 * q^15 - 16 * q^16 + 2 * q^18 + 10 * q^21 + 10 * q^22 - 24 * q^25 - 50 * q^28 - 16 * q^30 - 24 * q^31 - 33 * q^39 + 90 * q^40 - 48 * q^42 - 20 * q^43 - 3 * q^45 + 6 * q^48 - 10 * q^51 + 30 * q^52 - 27 * q^54 + 18 * q^55 + 4 * q^57 - 60 * q^58 + 55 * q^60 - 74 * q^63 - 84 * q^64 + 75 * q^66 - 88 * q^67 - 33 * q^69 + 20 * q^70 - 34 * q^72 + 84 * q^73 + 33 * q^75 + 18 * q^76 - 71 * q^78 + 20 * q^79 - 32 * q^81 - 6 * q^84 - 2 * q^85 + 3 * q^87 + 92 * q^88 - 76 * q^91 + 28 * q^93 + 30 * q^96 + 24 * q^97 + 22 * q^99

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