LMFDB - Embedded newform 210.3.q.a.179.25

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [210,3,Mod(149,210)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(210, base_ring=CyclotomicField(6))

chi = DirichletCharacter(H, H._module([3, 3, 2]))

N = Newforms(chi, 3, names="a")

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

chi := DirichletCharacter("210.149");

S:= CuspForms(chi, 3);

N := Newforms(S);

Level:	$ N $	$=$	$ 210 = 2 \cdot 3 \cdot 5 \cdot 7 $
Weight:	$ k $	$=$	$ 3 $
Character orbit:	$[\chi]$	$=$	210.q (of order $6$, degree $2$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$5.72208555157$
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			179.25
Character	$\chi$	$=$	210.179
Dual form			210.3.q.a.149.25

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.707107 + 1.22474i) q^{2} +(0.355071 + 2.97891i) q^{3} +(-1.00000 + 1.73205i) q^{4} +(3.24371 + 3.80504i) q^{5} +(-3.39734 + 2.54128i) q^{6} +(7.00000 + 0.00780758i) q^{7} -2.82843 q^{8} +(-8.74785 + 2.11545i) q^{9} +O(q^{10})$	\(q+(0.707107 + 1.22474i) q^{2} +(0.355071 + 2.97891i) q^{3} +(-1.00000 + 1.73205i) q^{4} +(3.24371 + 3.80504i) q^{5} +(-3.39734 + 2.54128i) q^{6} +(7.00000 + 0.00780758i) q^{7} -2.82843 q^{8} +(-8.74785 + 2.11545i) q^{9} +(-2.36656 + 6.66329i) q^{10} +(6.20051 + 3.57986i) q^{11} +(-5.51470 - 2.36391i) q^{12} -7.04213i q^{13} +(4.94018 + 8.57873i) q^{14} +(-10.1831 + 11.0138i) q^{15} +(-2.00000 - 3.46410i) q^{16} +(-1.21404 + 2.10278i) q^{17} +(-8.77655 - 9.21803i) q^{18} +(-12.0616 - 20.8913i) q^{19} +(-9.83424 + 1.81323i) q^{20} +(2.46224 + 20.8552i) q^{21} +10.1254i q^{22} +(-5.88121 - 10.1866i) q^{23} +(-1.00429 - 8.42564i) q^{24} +(-3.95671 + 24.6849i) q^{25} +(8.62482 - 4.97954i) q^{26} +(-9.40786 - 25.3079i) q^{27} +(-7.01352 + 12.1165i) q^{28} +8.77636i q^{29} +(-20.6897 - 4.68383i) q^{30} +(-10.1062 + 17.5045i) q^{31} +(2.82843 - 4.89898i) q^{32} +(-8.46248 + 19.7419i) q^{33} -3.43383 q^{34} +(22.6762 + 26.6606i) q^{35} +(5.08378 - 17.2672i) q^{36} +(48.2707 - 27.8691i) q^{37} +(17.0577 - 29.5448i) q^{38} +(20.9779 - 2.50046i) q^{39} +(-9.17459 - 10.7623i) q^{40} -52.4264i q^{41} +(-23.8012 + 17.7624i) q^{42} +8.62872i q^{43} +(-12.4010 + 7.15973i) q^{44} +(-36.4249 - 26.4240i) q^{45} +(8.31729 - 14.4060i) q^{46} +(44.3039 + 76.7366i) q^{47} +(9.60912 - 7.18783i) q^{48} +(48.9999 + 0.109306i) q^{49} +(-33.0305 + 12.6089i) q^{50} +(-6.69507 - 2.86989i) q^{51} +(12.1973 + 7.04213i) q^{52} +(9.78573 - 16.9494i) q^{53} +(24.3434 - 29.4177i) q^{54} +(6.49110 + 35.2052i) q^{55} +(-19.7990 - 0.0220832i) q^{56} +(57.9507 - 43.3484i) q^{57} +(-10.7488 + 6.20583i) q^{58} +(-72.4908 - 41.8526i) q^{59} +(-8.89330 - 28.6515i) q^{60} +(23.9426 + 41.4698i) q^{61} -28.5847 q^{62} +(-61.2514 + 14.7399i) q^{63} +8.00000 q^{64} +(26.7956 - 22.8426i) q^{65} +(-30.1626 + 3.59523i) q^{66} +(109.484 + 63.2103i) q^{67} +(-2.42808 - 4.20556i) q^{68} +(28.2566 - 21.1366i) q^{69} +(-16.6179 + 46.6245i) q^{70} -125.735i q^{71} +(24.7427 - 5.98340i) q^{72} +(65.0363 + 37.5487i) q^{73} +(68.2651 + 39.4129i) q^{74} +(-74.9391 - 3.02178i) q^{75} +48.2465 q^{76} +(43.3756 + 25.1074i) q^{77} +(17.8960 + 23.9245i) q^{78} +(-4.09666 - 7.09562i) q^{79} +(6.69364 - 18.8466i) q^{80} +(72.0497 - 37.0113i) q^{81} +(64.2090 - 37.0711i) q^{82} -135.272 q^{83} +(-38.5844 - 16.5904i) q^{84} +(-11.9392 + 2.20133i) q^{85} +(-10.5680 + 6.10143i) q^{86} +(-26.1440 + 3.11623i) q^{87} +(-17.5377 - 10.1254i) q^{88} +(-13.4925 + 7.78991i) q^{89} +(6.60642 - 63.2958i) q^{90} +(0.0549820 - 49.2949i) q^{91} +23.5248 q^{92} +(-55.7328 - 23.8902i) q^{93} +(-62.6552 + 108.522i) q^{94} +(40.3680 - 113.660i) q^{95} +(15.5979 + 6.68615i) q^{96} -122.825i q^{97} +(34.5143 + 60.0896i) q^{98} +(-61.8141 - 18.1992i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 64 q - 64 q^{4} + 8 q^{6} - 4 q^{9}+O(q^{10}) $ 64 * q - 64 * q^4 + 8 * q^6 - 4 * q^9	$ 64 q - 64 q^{4} + 8 q^{6} - 4 q^{9} - 8 q^{10} + 4 q^{15} - 128 q^{16} + 8 q^{19} - 88 q^{21} - 8 q^{24} + 12 q^{25} - 8 q^{30} + 152 q^{31} + 16 q^{36} - 208 q^{39} - 16 q^{40} + 106 q^{45} - 56 q^{46} - 64 q^{49} - 140 q^{51} - 56 q^{54} + 616 q^{55} - 4 q^{60} + 104 q^{61} + 512 q^{64} - 160 q^{66} + 456 q^{69} - 144 q^{70} + 298 q^{75} - 32 q^{76} - 360 q^{79} + 304 q^{81} - 80 q^{84} - 408 q^{85} - 688 q^{90} - 288 q^{91} + 240 q^{94} - 16 q^{96} - 568 q^{99}+O(q^{100}) $ 64 * q - 64 * q^4 + 8 * q^6 - 4 * q^9 - 8 * q^10 + 4 * q^15 - 128 * q^16 + 8 * q^19 - 88 * q^21 - 8 * q^24 + 12 * q^25 - 8 * q^30 + 152 * q^31 + 16 * q^36 - 208 * q^39 - 16 * q^40 + 106 * q^45 - 56 * q^46 - 64 * q^49 - 140 * q^51 - 56 * q^54 + 616 * q^55 - 4 * q^60 + 104 * q^61 + 512 * q^64 - 160 * q^66 + 456 * q^69 - 144 * q^70 + 298 * q^75 - 32 * q^76 - 360 * q^79 + 304 * q^81 - 80 * q^84 - 408 * q^85 - 688 * q^90 - 288 * q^91 + 240 * q^94 - 16 * q^96 - 568 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/210\mathbb{Z}\right)^\times$.

$n$	$31$	$71$	$127$
$\chi(n)$	$e\left(\frac{2}{3}\right)$	$-1$	$-1$

Coefficient data

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

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

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

$2$	0.707107	+	1.22474i	0.353553	+	0.612372i
$2$	0.707107	+	1.22474i	0.353553	+	0.612372i
$3$	0.355071	+	2.97891i	0.118357	+	0.992971i
$3$	0.355071	+	2.97891i	0.118357	+	0.992971i
$4$	−1.00000	+	1.73205i	−0.250000	+	0.433013i
$5$	3.24371	+	3.80504i	0.648742	+	0.761009i
$5$	3.24371	+	3.80504i	0.648742	+	0.761009i
$6$	−3.39734	+	2.54128i	−0.566223	+	0.423547i
$7$	7.00000	+	0.00780758i	0.999999	+	0.00111537i
$7$	7.00000	+	0.00780758i	0.999999	+	0.00111537i
$8$	−2.82843			−0.353553
$9$	−8.74785	+	2.11545i	−0.971983	+	0.235050i
$10$	−2.36656	+	6.66329i	−0.236656	+	0.666329i
$11$	6.20051	+	3.57986i	0.563682	+	0.325442i	0.754622	−	0.656160i	$-0.227820\pi$
$11$	6.20051	+	3.57986i	0.563682	+	0.325442i	−0.190940	+	0.981602i	$0.561153\pi$
$12$	−5.51470	−	2.36391i	−0.459558	−	0.196993i
$13$		−	7.04213i		−	0.541703i	−0.962621	−	0.270851i	$-0.912695\pi$
$13$		−	7.04213i		−	0.541703i	0.962621	−	0.270851i	$-0.0873052\pi$
$14$	4.94018	+	8.57873i	0.352870	+	0.612766i
$15$	−10.1831	+	11.0138i	−0.678876	+	0.734253i
$16$	−2.00000	−	3.46410i	−0.125000	−	0.216506i
$17$	−1.21404	+	2.10278i	−0.0714142	+	0.123693i	−0.899521	−	0.436877i	$-0.856085\pi$
$17$	−1.21404	+	2.10278i	−0.0714142	+	0.123693i	0.828107	+	0.560570i	$0.189418\pi$
$18$	−8.77655	−	9.21803i	−0.487586	−	0.512113i
$19$	−12.0616	−	20.8913i	−0.634822	−	1.09954i	−0.986553	−	0.163443i	$-0.947740\pi$
$19$	−12.0616	−	20.8913i	−0.634822	−	1.09954i	0.351731	−	0.936101i	$-0.385593\pi$
$20$	−9.83424	+	1.81323i	−0.491712	+	0.0906613i
$21$	2.46224	+	20.8552i	0.117249	+	0.993102i
$22$			10.1254i			0.460245i
$23$	−5.88121	−	10.1866i	−0.255705	−	0.442894i	0.709382	−	0.704824i	$-0.248974\pi$
$23$	−5.88121	−	10.1866i	−0.255705	−	0.442894i	−0.965087	+	0.261931i	$0.915641\pi$
$24$	−1.00429	−	8.42564i	−0.0418456	−	0.351068i
$25$	−3.95671	+	24.6849i	−0.158268	+	0.987396i
$26$	8.62482	−	4.97954i	0.331724	−	0.191521i
$27$	−9.40786	−	25.3079i	−0.348439	−	0.937331i
$28$	−7.01352	+	12.1165i	−0.250483	+	0.432734i
$29$			8.77636i			0.302633i	0.988485	+	0.151317i	$0.0483513\pi$
$29$			8.77636i			0.302633i	−0.988485	+	0.151317i	$0.951649\pi$
$30$	−20.6897	−	4.68383i	−0.689655	−	0.156128i
$31$	−10.1062	+	17.5045i	−0.326007	+	0.564661i	−0.981716	−	0.190353i	$-0.939037\pi$
$31$	−10.1062	+	17.5045i	−0.326007	+	0.564661i	0.655709	+	0.755014i	$0.272370\pi$
$32$	2.82843	−	4.89898i	0.0883883	−	0.153093i
$33$	−8.46248	+	19.7419i	−0.256439	+	0.598239i
$34$	−3.43383			−0.100995
$35$	22.6762	+	26.6606i	0.647893	+	0.761732i
$36$	5.08378	−	17.2672i	0.141216	−	0.479644i
$37$	48.2707	−	27.8691i	1.30461	−	0.753219i	0.323422	−	0.946255i	$-0.395167\pi$
$37$	48.2707	−	27.8691i	1.30461	−	0.753219i	0.981192	+	0.193036i	$0.0618333\pi$
$38$	17.0577	−	29.5448i	0.448887	−	0.777495i
$39$	20.9779	−	2.50046i	0.537895	−	0.0641143i
$40$	−9.17459	−	10.7623i	−0.229365	−	0.269057i
$41$		−	52.4264i		−	1.27869i	−0.768919	−	0.639347i	$-0.779205\pi$
$41$		−	52.4264i		−	1.27869i	0.768919	−	0.639347i	$-0.220795\pi$
$42$	−23.8012	+	17.7624i	−0.566695	+	0.422915i
$43$			8.62872i			0.200668i	0.994954	+	0.100334i	$0.0319911\pi$
$43$			8.62872i			0.200668i	−0.994954	+	0.100334i	$0.968009\pi$
$44$	−12.4010	+	7.15973i	−0.281841	+	0.162721i
$45$	−36.4249	−	26.4240i	−0.809441	−	0.587201i
$46$	8.31729	−	14.4060i	0.180811	−	0.313173i
$47$	44.3039	+	76.7366i	0.942636	+	1.63269i	0.760416	+	0.649436i	$0.224995\pi$
$47$	44.3039	+	76.7366i	0.942636	+	1.63269i	0.182220	+	0.983258i	$0.441672\pi$
$48$	9.60912	−	7.18783i	0.200190	−	0.149746i
$49$	48.9999	+	0.109306i	0.999998	+	0.00223074i
$50$	−33.0305	+	12.6089i	−0.660610	+	0.252178i
$51$	−6.69507	−	2.86989i	−0.131276	−	0.0562723i
$52$	12.1973	+	7.04213i	0.234564	+	0.135426i
$53$	9.78573	−	16.9494i	0.184636	−	0.319800i	−0.758818	−	0.651303i	$-0.774223\pi$
$53$	9.78573	−	16.9494i	0.184636	−	0.319800i	0.943454	+	0.331504i	$0.107556\pi$
$54$	24.3434	−	29.4177i	0.450804	−	0.544771i
$55$	6.49110	+	35.2052i	0.118020	+	0.640095i
$56$	−19.7990	−	0.0220832i	−0.353553	−	0.000394343i
$57$	57.9507	−	43.3484i	1.01668	−	0.760499i
$58$	−10.7488	+	6.20583i	−0.185324	+	0.106997i
$59$	−72.4908	−	41.8526i	−1.22866	−	0.709366i	−0.261908	−	0.965093i	$-0.584352\pi$
$59$	−72.4908	−	41.8526i	−1.22866	−	0.709366i	−0.966749	+	0.255727i	$0.917685\pi$
$60$	−8.89330	−	28.6515i	−0.148222	−	0.477525i
$61$	23.9426	+	41.4698i	0.392502	+	0.679833i	0.992779	−	0.119959i	$-0.0382763\pi$
$61$	23.9426	+	41.4698i	0.392502	+	0.679833i	−0.600277	+	0.799792i	$0.704943\pi$
$62$	−28.5847			−0.461044
$63$	−61.2514	+	14.7399i	−0.972245	+	0.233966i
$64$	8.00000			0.125000
$65$	26.7956	−	22.8426i	0.412240	−	0.351425i
$66$	−30.1626	+	3.59523i	−0.457010	+	0.0544732i
$67$	109.484	+	63.2103i	1.63408	+	0.943438i	0.982816	+	0.184589i	$0.0590954\pi$
$67$	109.484	+	63.2103i	1.63408	+	0.943438i	0.651267	+	0.758849i	$0.274238\pi$
$68$	−2.42808	−	4.20556i	−0.0357071	−	0.0618465i
$69$	28.2566	−	21.1366i	0.409516	−	0.306327i
$70$	−16.6179	+	46.6245i	−0.237399	+	0.666064i
$71$		−	125.735i		−	1.77091i	−0.464723	−	0.885456i	$-0.653846\pi$
$71$		−	125.735i		−	1.77091i	0.464723	−	0.885456i	$-0.346154\pi$
$72$	24.7427	−	5.98340i	0.343648	−	0.0831028i
$73$	65.0363	+	37.5487i	0.890908	+	0.514366i	0.874239	−	0.485495i	$-0.161361\pi$
$73$	65.0363	+	37.5487i	0.890908	+	0.514366i	0.0166684	+	0.999861i	$0.494694\pi$
$74$	68.2651	+	39.4129i	0.922501	+	0.532606i
$75$	−74.9391	−	3.02178i	−0.999188	−	0.0402904i
$76$	48.2465			0.634822
$77$	43.3756	+	25.1074i	0.563319	+	0.326071i
$78$	17.8960	+	23.9245i	0.229436	+	0.306724i
$79$	−4.09666	−	7.09562i	−0.0518565	−	0.0898180i	0.838932	−	0.544236i	$-0.183180\pi$
$79$	−4.09666	−	7.09562i	−0.0518565	−	0.0898180i	−0.890788	+	0.454418i	$0.849847\pi$
$80$	6.69364	−	18.8466i	0.0836705	−	0.235583i
$81$	72.0497	−	37.0113i	0.889503	−	0.456930i
$82$	64.2090	−	37.0711i	0.783037	−	0.452086i
$83$	−135.272			−1.62978			−0.814892	−	0.579613i	$-0.803204\pi$
$83$	−135.272			−1.62978			−0.814892	+	0.579613i	$0.803204\pi$
$84$	−38.5844	−	16.5904i	−0.459338	−	0.197505i
$85$	−11.9392	+	2.20133i	−0.140461	+	0.0258980i
$86$	−10.5680	+	6.10143i	−0.122883	+	0.0709468i
$87$	−26.1440	+	3.11623i	−0.300506	+	0.0358188i
$88$	−17.5377	−	10.1254i	−0.199292	−	0.115061i
$89$	−13.4925	+	7.78991i	−0.151601	+	0.0875270i	−0.573882	−	0.818938i	$-0.694563\pi$
$89$	−13.4925	+	7.78991i	−0.151601	+	0.0875270i	0.422280	+	0.906465i	$0.361230\pi$
$90$	6.60642	−	63.2958i	0.0734047	−	0.703286i
$91$	0.0549820	−	49.2949i	0.000604198	−	0.541702i
$92$	23.5248			0.255705
$93$	−55.7328	−	23.8902i	−0.599277	−	0.256884i
$94$	−62.6552	+	108.522i	−0.666545	+	1.15449i
$95$	40.3680	−	113.660i	0.424927	−	1.19642i
$96$	15.5979	+	6.68615i	0.162478	+	0.0696474i
$97$		−	122.825i		−	1.26624i	−0.774055	−	0.633119i	$-0.781774\pi$
$97$		−	122.825i		−	1.26624i	0.774055	−	0.633119i	$-0.218226\pi$
$98$	34.5143	+	60.0896i	0.352186	+	0.613160i
$99$	−61.8141	−	18.1992i	−0.624385	−	0.183831i
$100$	−38.7988	−	31.5381i	−0.387988	−	0.315381i
$101$	48.7132	+	28.1246i	0.482309	+	0.278461i	0.721378	−	0.692541i	$-0.243509\pi$
$101$	48.7132	+	28.1246i	0.482309	+	0.278461i	−0.239069	+	0.971003i	$0.576842\pi$
$102$	−1.21925	−	10.2291i	−0.0119535	−	0.100285i
$103$	−130.134	+	75.1327i	−1.26343	+	0.729443i	−0.973737	−	0.227676i	$-0.926887\pi$
$103$	−130.134	+	75.1327i	−1.26343	+	0.729443i	−0.289696	+	0.957119i	$0.593554\pi$
$104$			19.9182i			0.191521i
$105$	−71.3680	+	77.0170i	−0.679695	+	0.733495i
$106$	27.6782			0.261115
$107$	−2.52865	−	4.37975i	−0.0236322	−	0.0409322i	0.853967	−	0.520326i	$-0.174190\pi$
$107$	−2.52865	−	4.37975i	−0.0236322	−	0.0409322i	−0.877600	+	0.479394i	$0.840856\pi$
$108$	53.2425	+	9.01305i	0.492986	+	0.0834542i
$109$	−10.1409	+	17.5645i	−0.0930357	+	0.161143i	−0.908787	−	0.417260i	$-0.862990\pi$
$109$	−10.1409	+	17.5645i	−0.0930357	+	0.161143i	0.815751	+	0.578403i	$0.196324\pi$
$110$	−38.5275	+	32.8438i	−0.350250	+	0.298580i
$111$	100.159	+	133.899i	0.902335	+	1.20629i
$112$	−13.9729	−	24.2643i	−0.124758	−	0.216646i
$113$	70.8350			0.626858			0.313429	−	0.949612i	$-0.398522\pi$
$113$	70.8350			0.626858			0.313429	+	0.949612i	$0.398522\pi$
$114$	94.0681	+	40.3229i	0.825159	+	0.353710i
$115$	19.6834	−	55.4205i	0.171160	−	0.481917i
$116$	−15.2011	−	8.77636i	−0.131044	−	0.0756583i
$117$	14.8973	+	61.6035i	0.127327	+	0.526526i
$118$		−	118.377i		−	1.00319i
$119$	−8.51470	+	14.7100i	−0.0715521	+	0.123613i
$120$	28.8023	−	31.1517i	0.240019	−	0.259597i
$121$	−34.8691	−	60.3951i	−0.288175	−	0.499133i
$122$	−33.8600	+	58.6472i	−0.277541	+	0.480715i
$123$	156.174	−	18.6151i	1.26971	−	0.151342i
$124$	−20.2124	−	35.0090i	−0.163004	−	0.282330i
$125$	−106.762	+	65.0152i	−0.854092	+	0.520122i
$126$	−61.3639	−	64.5947i	−0.487015	−	0.512656i
$127$			60.6241i			0.477355i	0.971099	+	0.238678i	$0.0767140\pi$
$127$			60.6241i			0.477355i	−0.971099	+	0.238678i	$0.923286\pi$
$128$	5.65685	+	9.79796i	0.0441942	+	0.0765466i
$129$	−25.7042	+	3.06381i	−0.199257	+	0.0237505i
$130$	46.9238	+	16.6656i	0.360952	+	0.128197i
$131$	−82.7314	+	47.7650i	−0.631537	+	0.364618i	−0.781347	−	0.624097i	$-0.785467\pi$
$131$	−82.7314	+	47.7650i	−0.631537	+	0.364618i	0.149810	+	0.988715i	$0.452134\pi$
$132$	−25.7315	−	34.3993i	−0.194935	−	0.260601i
$133$	−84.2681	−	146.333i	−0.633595	−	1.10025i
$134$			178.786i			1.33422i
$135$	65.7815	−	117.889i	0.487270	−	0.873251i
$136$	3.43383	−	5.94756i	0.0252487	−	0.0437321i
$137$	54.1084	−	93.7185i	0.394952	−	0.684077i	−0.598143	−	0.801389i	$-0.704095\pi$
$137$	54.1084	−	93.7185i	0.394952	−	0.684077i	0.993095	+	0.117313i	$0.0374279\pi$
$138$	45.8674	+	19.6613i	0.332372	+	0.142473i
$139$	−113.900			−0.819424			−0.409712	−	0.912215i	$-0.634371\pi$
$139$	−113.900			−0.819424			−0.409712	+	0.912215i	$0.634371\pi$
$140$	−68.8538	+	12.6158i	−0.491813	+	0.0901128i
$141$	−212.861	+	159.224i	−1.50965	+	1.12925i
$142$	153.993	−	88.9079i	1.08446	−	0.626112i
$143$	25.2099	−	43.6648i	0.176293	−	0.305348i
$144$	24.8238	+	26.0725i	0.172388	+	0.181059i
$145$	−33.3944	+	28.4680i	−0.230306	+	0.196331i
$146$			106.204i			0.727423i
$147$	17.0728	+	146.005i	0.116142	+	0.993233i
$148$			111.476i			0.753219i
$149$	−28.0173	+	16.1758i	−0.188036	+	0.108562i	−0.591063	−	0.806626i	$-0.701291\pi$
$149$	−28.0173	+	16.1758i	−0.188036	+	0.108562i	0.403027	+	0.915188i	$0.367958\pi$
$150$	−49.2890	−	93.9180i	−0.328594	−	0.626120i
$151$	−107.224	+	185.718i	−0.710093	+	1.22992i	0.254728	+	0.967013i	$0.418014\pi$
$151$	−107.224	+	185.718i	−0.710093	+	1.22992i	−0.964822	+	0.262905i	$0.915319\pi$
$152$	34.1154	+	59.0896i	0.224443	+	0.388747i
$153$	6.17191	−	20.9631i	0.0403393	−	0.137013i
$154$	−0.0790548	+	70.8777i	−0.000513343	+	0.460245i
$155$	−99.3869	+	18.3249i	−0.641206	+	0.118225i
$156$	−16.6470	+	38.8353i	−0.106711	+	0.248944i
$157$	−107.192	−	61.8875i	−0.682753	−	0.394188i	0.118138	−	0.992997i	$-0.462307\pi$
$157$	−107.192	−	61.8875i	−0.682753	−	0.394188i	−0.800892	+	0.598809i	$0.795641\pi$
$158$	5.79355	−	10.0347i	0.0366681	−	0.0635109i
$159$	53.9654	+	23.1326i	0.339405	+	0.145488i
$160$	27.8154	−	5.12858i	0.173846	−	0.0320536i
$161$	−41.0889	−	71.3518i	−0.255211	−	0.443179i
$162$	96.2763	+	62.0716i	0.594298	+	0.383158i
$163$	−153.419	+	88.5762i	−0.941218	+	0.543412i	−0.890342	−	0.455293i	$-0.849535\pi$
$163$	−153.419	+	88.5762i	−0.941218	+	0.543412i	−0.0508759	+	0.998705i	$0.516201\pi$
$164$	90.8053	+	52.4264i	0.553691	+	0.319673i
$165$	−102.569	+	31.8368i	−0.621628	+	0.192950i
$166$	−95.6518	−	165.674i	−0.576216	−	0.998035i
$167$	−173.505			−1.03895			−0.519475	−	0.854486i	$-0.673872\pi$
$167$	−173.505			−1.03895			−0.519475	+	0.854486i	$0.673872\pi$
$168$	−6.96426	−	58.9873i	−0.0414540	−	0.351115i
$169$	119.408			0.706558
$170$	−11.1383	−	13.0659i	−0.0655196	−	0.0768580i
$171$	149.708	+	157.238i	0.875484	+	0.919523i
$172$	−14.9454	−	8.62872i	−0.0868917	−	0.0501670i
$173$	9.49855	+	16.4520i	0.0549049	+	0.0950981i	0.892172	−	0.451697i	$-0.149181\pi$
$173$	9.49855	+	16.4520i	0.0549049	+	0.0950981i	−0.837267	+	0.546795i	$0.815848\pi$
$174$	−22.3032	−	29.8162i	−0.128179	−	0.171358i
$175$	−27.8896	+	172.763i	−0.159369	+	0.987219i
$176$		−	28.6389i		−	0.162721i
$177$	98.9358	−	230.804i	0.558959	−	1.30398i
$178$	−19.0813	−	11.0166i	−0.107198	−	0.0618910i
$179$	−109.039	−	62.9536i	−0.609155	−	0.351696i	0.163480	−	0.986547i	$-0.447728\pi$
$179$	−109.039	−	62.9536i	−0.609155	−	0.351696i	−0.772635	+	0.634851i	$0.781062\pi$
$180$	82.1926	−	36.6657i	0.456626	−	0.203698i
$181$	−138.785			−0.766771			−0.383385	−	0.923588i	$-0.625242\pi$
$181$	−138.785			−0.766771			−0.383385	+	0.923588i	$0.625242\pi$
$182$	60.4126	−	34.7894i	0.331937	−	0.191151i
$183$	−115.034	+	86.0477i	−0.628599	+	0.470206i
$184$	16.6346	+	28.8119i	0.0904053	+	0.156587i
$185$	262.619	+	93.2729i	1.41956	+	0.504178i
$186$	−10.1496	−	85.1513i	−0.0545678	−	0.457803i
$187$	−15.0553	+	8.69220i	−0.0805098	+	0.0464824i
$188$	−177.216			−0.942636
$189$	−65.6574	−	177.229i	−0.347394	−	0.937719i
$190$	167.749	−	30.9295i	0.882892	−	0.162787i
$191$	224.530	−	129.633i	1.17555	−	0.678704i	0.220569	−	0.975371i	$-0.429208\pi$
$191$	224.530	−	129.633i	1.17555	−	0.678704i	0.954981	+	0.296667i	$0.0958752\pi$
$192$	2.84057	+	23.8313i	0.0147946	+	0.124121i
$193$	−140.975	−	81.3921i	−0.730442	−	0.421721i	0.0881421	−	0.996108i	$-0.471907\pi$
$193$	−140.975	−	81.3921i	−0.730442	−	0.421721i	−0.818584	+	0.574387i	$0.805240\pi$
$194$	150.429	−	86.8504i	0.775409	−	0.447683i
$195$	77.5606	+	71.7111i	0.397747	+	0.367749i
$196$	−49.1892	+	84.7610i	−0.250965	+	0.432454i
$197$	230.629			1.17071			0.585354	−	0.810778i	$-0.300956\pi$
$197$	230.629			1.17071			0.585354	+	0.810778i	$0.300956\pi$
$198$	−21.4198	−	88.5753i	−0.108181	−	0.447350i
$199$	138.508	−	239.904i	0.696022	−	1.20555i	−0.273813	−	0.961783i	$-0.588285\pi$
$199$	138.508	−	239.904i	0.696022	−	1.20555i	0.969835	−	0.243763i	$-0.0783818\pi$
$200$	11.1913	−	69.8195i	0.0559563	−	0.349097i
$201$	−149.424	+	348.586i	−0.743401	+	1.73426i
$202$			79.5483i			0.393804i
$203$	−0.0685222	+	61.4345i	−0.000337548	+	0.302633i
$204$	11.6659	−	8.72632i	0.0571856	−	0.0427761i
$205$	199.485	−	170.056i	0.973097	−	0.829542i
$206$	−184.037	−	106.254i	−0.893382	−	0.515794i
$207$	72.9971	+	76.6690i	0.352643	+	0.370382i
$208$	−24.3947	+	14.0843i	−0.117282	+	0.0677128i
$209$		−	172.716i		−	0.826391i
$210$	−144.791	−	32.9483i	−0.689481	−	0.156897i
$211$	85.1155			0.403391			0.201695	−	0.979448i	$-0.435355\pi$
$211$	85.1155			0.403391			0.201695	+	0.979448i	$0.435355\pi$
$212$	19.5715	+	33.8988i	0.0923182	+	0.159900i
$213$	374.553	−	44.6448i	1.75846	−	0.209600i
$214$	3.57605	−	6.19390i	0.0167105	−	0.0289434i
$215$	−32.8326	+	27.9891i	−0.152710	+	0.130182i
$216$	26.6095	+	71.5817i	0.123192	+	0.331397i
$217$	−70.8801	+	122.452i	−0.326637	+	0.564297i
$218$	−28.6828			−0.131572
$219$	−88.7618	+	207.070i	−0.405305	+	0.945524i
$220$	−67.4684	−	23.9623i	−0.306674	−	0.108920i
$221$	14.8081	+	8.54944i	0.0670048	+	0.0386852i
$222$	−93.1685	+	217.350i	−0.419678	+	0.979055i
$223$		−	355.525i		−	1.59428i	−0.603793	−	0.797141i	$-0.706344\pi$
$223$		−	355.525i		−	1.59428i	0.603793	−	0.797141i	$-0.293656\pi$
$224$	19.8372	−	34.2708i	0.0885590	−	0.152994i
$225$	−17.6071	−	224.310i	−0.0782538	−	0.996933i
$226$	50.0879	+	86.7548i	0.221628	+	0.383871i
$227$	−161.450	+	279.640i	−0.711235	+	1.23190i	0.253159	+	0.967425i	$0.418530\pi$
$227$	−161.450	+	279.640i	−0.711235	+	1.23190i	−0.964394	+	0.264470i	$0.914803\pi$
$228$	17.1309	+	143.722i	0.0751357	+	0.630360i
$229$	−73.9973	−	128.167i	−0.323132	−	0.559682i	0.658000	−	0.753018i	$-0.271403\pi$
$229$	−73.9973	−	128.167i	−0.323132	−	0.559682i	−0.981133	+	0.193336i	$0.938069\pi$
$230$	81.7942	−	15.0811i	0.355627	−	0.0655701i
$231$	−59.3915	+	138.127i	−0.257106	+	0.597952i
$232$		−	24.8233i		−	0.106997i
$233$	128.110	+	221.893i	0.549829	+	0.952332i	0.998286	+	0.0585271i	$0.0186404\pi$
$233$	128.110	+	221.893i	0.549829	+	0.952332i	−0.448457	+	0.893804i	$0.648026\pi$
$234$	−64.9146	+	61.8057i	−0.277413	+	0.264127i
$235$	−148.277	+	417.490i	−0.630967	+	1.77655i
$236$	144.982	−	83.7051i	0.614329	−	0.354683i
$237$	19.6826	−	14.7231i	0.0830491	−	0.0621226i
$238$	−24.0368	−	0.0268099i	−0.100995	−	0.000112647i
$239$		−	85.0303i		−	0.355775i	−0.984051	−	0.177888i	$-0.943074\pi$
$239$		−	85.0303i		−	0.355775i	0.984051	−	0.177888i	$-0.0569263\pi$
$240$	58.5192	+	13.2479i	0.243830	+	0.0551995i
$241$	184.501	−	319.566i	0.765566	−	1.32600i	−0.174381	−	0.984678i	$-0.555792\pi$
$241$	184.501	−	319.566i	0.765566	−	1.32600i	0.939947	−	0.341321i	$-0.110874\pi$
$242$	49.3124	−	85.4116i	0.203770	−	0.352940i
$243$	135.836	+	201.488i	0.558997	+	0.829170i
$244$	−95.7705			−0.392502
$245$	158.525	+	186.801i	0.647043	+	0.762454i
$246$	133.230	+	178.110i	0.541587	+	0.724025i
$247$	−147.120	+	84.9395i	−0.595626	+	0.343885i
$248$	28.5847	−	49.5102i	0.115261	−	0.199638i
$249$	−48.0312	−	402.964i	−0.192896	−	1.61833i
$250$	−155.119	−	84.7829i	−0.620475	−	0.339132i
$251$		−	423.245i		−	1.68623i	−0.537731	−	0.843117i	$-0.680718\pi$
$251$		−	423.245i		−	1.68623i	0.537731	−	0.843117i	$-0.319282\pi$
$252$	35.7212	−	120.830i	0.141751	−	0.479486i
$253$		−	84.2158i		−	0.332869i
$254$	−74.2491	+	42.8677i	−0.292319	+	0.168771i
$255$	−10.7968	−	34.7841i	−0.0423405	−	0.136408i
$256$	−8.00000	+	13.8564i	−0.0312500	+	0.0541266i
$257$	−85.7431	−	148.511i	−0.333631	−	0.577865i	0.649590	−	0.760285i	$-0.274941\pi$
$257$	−85.7431	−	148.511i	−0.333631	−	0.577865i	−0.983221	+	0.182419i	$0.941607\pi$
$258$	−21.9280	−	29.3147i	−0.0849923	−	0.113623i
$259$	338.112	−	194.707i	1.30545	−	0.751764i
$260$	12.7690	+	69.2540i	0.0491115	+	0.266362i
$261$	−18.5660	−	76.7743i	−0.0711340	−	0.294154i
$262$	−117.000	−	67.5499i	−0.446564	−	0.257824i
$263$	175.037	−	303.173i	0.665539	−	1.15275i	−0.313599	−	0.949555i	$-0.601535\pi$
$263$	175.037	−	303.173i	0.665539	−	1.15275i	0.979139	−	0.203193i	$-0.0651318\pi$
$264$	23.9355	−	55.8385i	0.0906648	−	0.211509i
$265$	96.2352	−	17.7437i	0.363152	−	0.0669575i
$266$	119.635	−	206.680i	0.449754	−	0.776994i
$267$	−27.9963	−	37.4271i	−0.104855	−	0.140176i
$268$	−218.967	+	126.421i	−0.817041	+	0.471719i
$269$	−27.4482	−	15.8472i	−0.102038	−	0.0589117i	0.448113	−	0.893977i	$-0.352096\pi$
$269$	−27.4482	−	15.8472i	−0.102038	−	0.0589117i	−0.550151	+	0.835065i	$0.685430\pi$
$270$	190.898	−	2.79455i	0.707031	−	0.0103502i
$271$	85.2758	+	147.702i	0.314671	+	0.545026i	0.979367	−	0.202087i	$-0.0647725\pi$
$271$	85.2758	+	147.702i	0.314671	+	0.545026i	−0.664697	+	0.747113i	$0.731439\pi$
$272$	9.71233			0.0357071
$273$	146.865	−	17.3394i	0.537966	−	0.0635144i
$274$	153.042			0.558546
$275$	−112.902	+	138.894i	−0.410553	+	0.505071i
$276$	8.35300	+	70.0785i	0.0302645	+	0.253908i
$277$	−297.279	−	171.634i	−1.07321	−	0.619617i	−0.144152	−	0.989556i	$-0.546045\pi$
$277$	−297.279	−	171.634i	−1.07321	−	0.619617i	−0.929056	+	0.369938i	$0.879379\pi$
$278$	−80.5394	−	139.498i	−0.289710	−	0.501793i
$279$	51.3778	−	174.506i	0.184150	−	0.625469i
$280$	−64.1381	−	75.4076i	−0.229065	−	0.269313i
$281$			13.8269i			0.0492062i	0.999697	+	0.0246031i	$0.00783220\pi$
$281$			13.8269i			0.0492062i	−0.999697	+	0.0246031i	$0.992168\pi$
$282$	−345.525	−	148.111i	−1.22526	−	0.525217i
$283$	359.947	+	207.815i	1.27190	+	0.734330i	0.975345	−	0.220687i	$-0.0708298\pi$
$283$	359.947	+	207.815i	1.27190	+	0.734330i	0.296552	+	0.955017i	$0.404163\pi$
$284$	217.779	+	125.735i	0.766828	+	0.442728i
$285$	352.918	+	79.8954i	1.23831	+	0.280335i
$286$	71.3043			0.249316
$287$	0.409324	−	366.985i	0.00142622	−	1.27869i
$288$	−14.3791	+	48.8389i	−0.0499274	+	0.169580i
$289$	141.552	+	245.176i	0.489800	+	0.848359i
$290$	−58.4794	−	20.7698i	−0.201653	−	0.0716199i
$291$	365.885	−	43.6116i	1.25734	−	0.149868i
$292$	−130.073	+	75.0974i	−0.445454	+	0.257183i
$293$	113.109			0.386039			0.193019	−	0.981195i	$-0.438172\pi$
$293$	113.109			0.386039			0.193019	+	0.981195i	$0.438172\pi$
$294$	−166.747	+	124.151i	−0.567166	+	0.422283i
$295$	−75.8882	−	411.588i	−0.257248	−	1.39521i
$296$	−136.530	+	78.8257i	−0.461251	+	0.266303i
$297$	32.2655	−	190.601i	0.108638	−	0.641754i
$298$	−39.6225	−	22.8761i	−0.132961	−	0.0767653i
$299$	−71.7351	+	41.4163i	−0.239917	+	0.138516i
$300$	80.1730	−	126.777i	0.267243	−	0.422588i
$301$	−0.0673694	+	60.4010i	−0.000223819	+	0.200668i
$302$	−303.276			−1.00422
$303$	−66.4840	+	155.099i	−0.219419	+	0.511877i
$304$	−48.2465	+	83.5653i	−0.158705	+	0.274886i
$305$	−80.1316	+	225.619i	−0.262727	+	0.739734i
$306$	30.0386	−	7.26410i	0.0981653	−	0.0237389i
$307$			205.675i			0.669952i	0.942227	+	0.334976i	$0.108728\pi$
$307$			205.675i			0.669952i	−0.942227	+	0.334976i	$0.891272\pi$
$308$	−86.8630	+	50.0213i	−0.282023	+	0.162407i
$309$	−270.020	−	360.979i	−0.873852	−	1.16822i
$310$	−92.7204	−	108.766i	−0.299098	−	0.350858i
$311$	−155.578	−	89.8230i	−0.500251	−	0.288820i	0.228566	−	0.973528i	$-0.426596\pi$
$311$	−155.578	−	89.8230i	−0.500251	−	0.288820i	−0.728817	+	0.684708i	$0.759930\pi$
$312$	−59.3345	+	7.07237i	−0.190175	+	0.0226678i
$313$	207.288	−	119.678i	0.662261	−	0.382357i	−0.130877	−	0.991399i	$-0.541779\pi$
$313$	207.288	−	119.678i	0.662261	−	0.382357i	0.793138	+	0.609042i	$0.208446\pi$
$314$		−	175.044i		−	0.557466i
$315$	−254.768	−	185.252i	−0.808786	−	0.588103i
$316$	16.3866			0.0518565
$317$	−167.654	−	290.385i	−0.528876	−	0.916040i	−0.999433	−	0.0336702i	$-0.989280\pi$
$317$	−167.654	−	290.385i	−0.528876	−	0.916040i	0.470557	−	0.882369i	$-0.344053\pi$
$318$	9.82774	+	82.4510i	0.0309049	+	0.259280i
$319$	−31.4182	+	54.4179i	−0.0984896	+	0.170589i
$320$	25.9497	+	30.4403i	0.0810927	+	0.0951261i
$321$	12.1490	−	9.08774i	0.0378475	−	0.0283107i
$322$	58.3335	−	100.777i	0.181160	−	0.312971i
$323$	58.5732			0.181341
$324$	−7.94422	+	161.805i	−0.0245192	+	0.499398i
$325$	173.834	+	27.8636i	0.534875	+	0.0857343i
$326$	−216.967	−	125.266i	−0.665541	−	0.384251i
$327$	−55.9240	−	23.9722i	−0.171021	−	0.0733094i
$328$			148.284i			0.452086i
$329$	309.528	+	537.502i	0.940815	+	1.63374i
$330$	−111.519	−	103.108i	−0.337936	−	0.312449i
$331$	38.0065	+	65.8292i	0.114823	+	0.198880i	0.917709	−	0.397253i	$-0.130036\pi$
$331$	38.0065	+	65.8292i	0.114823	+	0.198880i	−0.802886	+	0.596133i	$0.796703\pi$
$332$	135.272	−	234.298i	0.407446	−	0.705717i
$333$	−363.309	+	345.909i	−1.09102	+	1.03877i
$334$	−122.686	−	212.499i	−0.367324	−	0.636224i
$335$	114.615	+	621.626i	0.342133	+	1.85560i
$336$	67.3199	−	50.2398i	0.200357	−	0.149523i
$337$			644.608i			1.91278i	0.292085	+	0.956392i	$0.405651\pi$
$337$			644.608i			1.91278i	−0.292085	+	0.956392i	$0.594349\pi$
$338$	84.4345	+	146.245i	0.249806	+	0.432677i
$339$	25.1515	+	211.011i	0.0741931	+	0.622452i
$340$	8.12635	−	22.8806i	0.0239010	−	0.0672958i
$341$	−125.327	+	72.3578i	−0.367529	+	0.212193i
$342$	−86.7175	+	294.538i	−0.253560	+	0.861223i
$343$	342.998	+	1.14771i	0.999994	+	0.00334610i
$344$		−	24.4057i		−	0.0709468i
$345$	172.082	+	38.9568i	0.498788	+	0.112918i
$346$	−13.4330	+	23.2666i	−0.0388237	+	0.0672445i
$347$	−224.279	+	388.462i	−0.646336	+	1.11949i	0.337656	+	0.941270i	$0.390366\pi$
$347$	−224.279	+	388.462i	−0.646336	+	1.11949i	−0.983991	+	0.178217i	$0.942967\pi$
$348$	20.7465	−	48.3990i	0.0596165	−	0.139078i
$349$	−606.769			−1.73859			−0.869296	−	0.494292i	$-0.835427\pi$
$349$	−606.769			−1.73859			−0.869296	+	0.494292i	$0.835427\pi$
$350$	−231.312	+	88.0044i	−0.660891	+	0.251441i
$351$	−178.222	+	66.2514i	−0.507755	+	0.188750i
$352$	35.0754	−	20.2508i	0.0996459	−	0.0575306i
$353$	−214.130	+	370.884i	−0.606601	+	1.05066i	0.385196	+	0.922835i	$0.374134\pi$
$353$	−214.130	+	370.884i	−0.606601	+	1.05066i	−0.991796	+	0.127828i	$0.959199\pi$
$354$	352.635	−	42.0323i	0.996143	−	0.118735i
$355$	478.426	−	407.847i	1.34768	−	1.14886i
$356$		−	31.1596i		−	0.0875270i
$357$	−46.8431	−	20.1415i	−0.131213	−	0.0564187i
$358$		−	178.060i		−	0.497373i
$359$	−607.369	+	350.664i	−1.69183	+	0.976781i	−0.738798	+	0.673927i	$0.764606\pi$
$359$	−607.369	+	350.664i	−1.69183	+	0.976781i	−0.953037	+	0.302854i	$0.902061\pi$
$360$	103.025	+	74.7384i	0.286181	+	0.207607i
$361$	−110.465	+	191.331i	−0.305998	+	0.530003i
$362$	−98.1362	−	169.977i	−0.271094	−	0.469549i
$363$	167.531	−	125.317i	0.461517	−	0.345225i
$364$	85.3263	+	49.3901i	0.234413	+	0.135687i
$365$	68.0843	+	369.263i	0.186532	+	1.01168i
$366$	−186.728	−	80.0420i	−0.510185	−	0.218694i
$367$	−378.737	−	218.664i	−1.03198	−	0.595815i	−0.114430	−	0.993431i	$-0.536504\pi$
$367$	−378.737	−	218.664i	−1.03198	−	0.595815i	−0.917552	+	0.397616i	$0.869838\pi$
$368$	−23.5248	+	40.7462i	−0.0639262	+	0.110723i
$369$	110.906	+	458.619i	0.300557	+	1.24287i
$370$	71.4644	+	387.595i	0.193147	+	1.04756i
$371$	68.6324	−	118.569i	0.184993	−	0.319594i
$372$	97.1118	−	72.6418i	0.261053	−	0.195274i
$373$	179.844	−	103.833i	0.482156	−	0.278373i	−0.239158	−	0.970981i	$-0.576871\pi$
$373$	179.844	−	103.833i	0.482156	−	0.278373i	0.721315	+	0.692607i	$0.243538\pi$
$374$	−21.2915	−	12.2926i	−0.0569291	−	0.0328680i
$375$	−231.583	−	294.948i	−0.617554	−	0.786529i
$376$	−125.310	−	217.044i	−0.333272	−	0.577244i
$377$	61.8043			0.163937
$378$	170.633	−	205.733i	0.451411	−	0.544268i
$379$	−426.364			−1.12497			−0.562486	−	0.826807i	$-0.690155\pi$
$379$	−426.364			−1.12497			−0.562486	+	0.826807i	$0.690155\pi$
$380$	156.497	+	183.580i	0.411835	+	0.483105i
$381$	−180.594	+	21.5259i	−0.474000	+	0.0564984i
$382$	317.534	+	183.328i	0.831240	+	0.479916i
$383$	−92.8852	−	160.882i	−0.242520	−	0.420057i	0.718911	−	0.695102i	$-0.244641\pi$
$383$	−92.8852	−	160.882i	−0.242520	−	0.420057i	−0.961431	+	0.275045i	$0.911307\pi$
$384$	−27.1787	+	20.3303i	−0.0707778	+	0.0529434i
$385$	45.1628	+	246.487i	0.117306	+	0.640226i
$386$		−	230.212i		−	0.596403i
$387$	−18.2536	−	75.4827i	−0.0471671	−	0.195046i
$388$	212.739	+	122.825i	0.548297	+	0.316559i
$389$	469.908	+	271.302i	1.20799	+	0.697433i	0.962320	−	0.271920i	$-0.0876587\pi$
$389$	469.908	+	271.302i	1.20799	+	0.697433i	0.245670	+	0.969353i	$0.420992\pi$
$390$	−32.9842	+	145.699i	−0.0845748	+	0.373588i
$391$	28.5601			0.0730438
$392$	−138.593	−	0.309164i	−0.353553	−	0.000788685i
$393$	−171.663	−	229.490i	−0.436802	−	0.583943i
$394$	163.080	+	282.462i	0.413908	+	0.716909i
$395$	13.7108	−	38.6041i	0.0347108	−	0.0977319i
$396$	93.3361	−	88.8660i	0.235697	−	0.224409i
$397$	−227.395	+	131.286i	−0.572782	+	0.330696i	−0.758260	−	0.651953i	$-0.773950\pi$
$397$	−227.395	+	131.286i	−0.572782	+	0.330696i	0.185478	+	0.982648i	$0.440617\pi$
$398$	391.761			0.984324
$399$	405.993	−	302.986i	1.01753	−	0.759364i
$400$	93.4244	−	35.6634i	0.233561	−	0.0891584i
$401$	99.9285	−	57.6937i	0.249198	−	0.143875i	−0.370199	−	0.928953i	$-0.620710\pi$
$401$	99.9285	−	57.6937i	0.249198	−	0.143875i	0.619397	+	0.785078i	$0.287377\pi$
$402$	−532.588	+	63.4817i	−1.32484	+	0.157915i
$403$	123.269	+	71.1693i	0.305878	+	0.176599i
$404$	−97.4264	+	56.2492i	−0.241154	+	0.139231i
$405$	374.538	+	154.098i	0.924785	+	0.380490i
$406$	−75.2900	+	43.3568i	−0.185443	+	0.106790i
$407$	399.071			0.980517
$408$	18.9365	+	8.11726i	0.0464130	+	0.0198953i
$409$	−205.919	+	356.662i	−0.503469	+	0.872033i	0.496523	+	0.868023i	$0.334610\pi$
$409$	−205.919	+	356.662i	−0.503469	+	0.872033i	−0.999992	+	0.00400996i	$0.998724\pi$
$410$	349.332	+	124.070i	0.852030	+	0.302610i
$411$	298.392	+	127.908i	0.726014	+	0.311210i
$412$		−	300.531i		−	0.729443i
$413$	−507.108	−	293.534i	−1.22787	−	0.710736i
$414$	−42.2832	+	143.616i	−0.102133	+	0.346899i
$415$	−438.783	−	514.716i	−1.05731	−	1.24028i
$416$	−34.4993	−	19.9182i	−0.0829309	−	0.0478802i
$417$	−40.4426	−	339.298i	−0.0969847	−	0.813664i
$418$	211.533	−	122.129i	0.506059	−	0.292173i
$419$			187.984i			0.448649i	0.974515	+	0.224325i	$0.0720176\pi$
$419$			187.984i			0.448649i	−0.974515	+	0.224325i	$0.927982\pi$
$420$	−62.0293	−	200.630i	−0.147689	−	0.477690i
$421$	278.344			0.661149			0.330574	−	0.943780i	$-0.392758\pi$
$421$	278.344			0.661149			0.330574	+	0.943780i	$0.392758\pi$
$422$	60.1857	+	104.245i	0.142620	+	0.247025i
$423$	−549.897	−	577.557i	−1.29999	−	1.36538i
$424$	−27.6782	+	47.9401i	−0.0652788	+	0.113066i
$425$	−47.1033	−	38.2886i	−0.110831	−	0.0900907i
$426$	319.527	+	427.163i	0.750065	+	1.00273i
$427$	167.274	+	290.476i	0.391743	+	0.680271i
$428$	10.1146			0.0236322
$429$	139.025	+	59.5939i	0.324068	+	0.138914i
$430$	−57.4956	−	20.4204i	−0.133711	−	0.0474892i
$431$	−250.523	−	144.639i	−0.581259	−	0.335590i	0.180374	−	0.983598i	$-0.442269\pi$
$431$	−250.523	−	144.639i	−0.581259	−	0.335590i	−0.761634	+	0.648008i	$0.775602\pi$
$432$	−68.8536	+	83.2057i	−0.159383	+	0.192606i
$433$			565.286i			1.30551i	0.757569	+	0.652755i	$0.226387\pi$
$433$			565.286i			1.30551i	−0.757569	+	0.652755i	$0.773613\pi$
$434$	−200.093	−	0.223177i	−0.461043	−	0.000514234i
$435$	−96.6610	−	89.3710i	−0.222209	−	0.205451i
$436$	−20.2818	−	35.1291i	−0.0465178	−	0.0805713i
$437$	−141.874	+	245.733i	−0.324654	+	0.562317i
$438$	−316.372	+	37.7099i	−0.722310	+	0.0860957i
$439$	−154.519	−	267.635i	−0.351980	−	0.609647i	0.634616	−	0.772827i	$-0.281158\pi$
$439$	−154.519	−	267.635i	−0.351980	−	0.609647i	−0.986596	+	0.163180i	$0.947825\pi$
$440$	−18.3596	−	99.5754i	−0.0417264	−	0.226308i
$441$	−428.875	+	102.701i	−0.972505	+	0.232882i
$442$			24.1815i			0.0547092i
$443$	96.6911	+	167.474i	0.218264	+	0.378045i	0.954277	−	0.298922i	$-0.0966271\pi$
$443$	96.6911	+	167.474i	0.218264	+	0.378045i	−0.736013	+	0.676967i	$0.763294\pi$
$444$	−332.079	+	39.5821i	−0.747925	+	0.0891488i
$445$	−73.4067	−	26.0714i	−0.164959	−	0.0585874i
$446$	435.428	−	251.394i	0.976295	−	0.563664i
$447$	−58.1345	−	77.7176i	−0.130055	−	0.173865i
$448$	56.0000	+	0.0624607i	0.125000	+	0.000139421i
$449$		−	241.376i		−	0.537587i	−0.963198	−	0.268793i	$-0.913375\pi$
$449$		−	241.376i		−	0.537587i	0.963198	−	0.268793i	$-0.0866249\pi$
$450$	262.272	−	180.175i	0.582828	−	0.400390i
$451$	187.680	−	325.071i	0.416141	−	0.720777i
$452$	−70.8350	+	122.690i	−0.156715	+	0.271438i
$453$	−591.309	−	253.468i	−1.30532	−	0.559533i
$454$	−456.650			−1.00584
$455$	187.748	−	159.689i	0.412632	−	0.350965i
$456$	−163.909	+	122.608i	−0.359450	+	0.268877i
$457$	5.49041	−	3.16989i	0.0120140	−	0.00693630i	−0.493981	−	0.869473i	$-0.664459\pi$
$457$	5.49041	−	3.16989i	0.0120140	−	0.00693630i	0.505995	+	0.862536i	$0.331125\pi$
$458$	104.648	−	181.256i	0.228489	−	0.395755i
$459$	64.6386	+	10.9422i	0.140825	+	0.0238392i
$460$	76.3078	+	89.5131i	0.165886	+	0.194594i
$461$			63.0320i			0.136729i	0.997660	+	0.0683644i	$0.0217781\pi$
$461$			63.0320i			0.136729i	−0.997660	+	0.0683644i	$0.978222\pi$
$462$	−211.166	+	24.9311i	−0.457070	+	0.0539635i
$463$			170.842i			0.368990i	0.982833	+	0.184495i	$0.0590649\pi$
$463$			170.842i			0.368990i	−0.982833	+	0.184495i	$0.940935\pi$
$464$	30.4022	−	17.5527i	0.0655220	−	0.0378291i
$465$	−89.8776	−	289.558i	−0.193285	−	0.622706i
$466$	−181.175	+	313.804i	−0.388788	+	0.673400i
$467$	−120.590	−	208.868i	−0.258223	−	0.447255i	0.707543	−	0.706670i	$-0.249803\pi$
$467$	−120.590	−	208.868i	−0.258223	−	0.447255i	−0.965766	+	0.259415i	$0.916470\pi$
$468$	−121.598	−	35.8006i	−0.259824	−	0.0764971i
$469$	765.891	+	443.327i	1.63303	+	0.945260i
$470$	−616.166	+	113.608i	−1.31099	+	0.241719i
$471$	146.297	−	341.291i	0.310608	−	0.724609i
$472$	205.035	+	118.377i	0.434396	+	0.250799i
$473$	−30.8896	+	53.5024i	−0.0653058	+	0.113113i
$474$	31.9497	+	13.6954i	0.0674045	+	0.0288934i
$475$	563.425	−	215.079i	1.18616	−	0.452798i
$476$	−16.9637	−	29.4579i	−0.0356381	−	0.0618863i
$477$	−49.7485	+	168.972i	−0.104294	+	0.354239i
$478$	104.140	−	60.1255i	0.217867	−	0.125786i
$479$	−94.9661	−	54.8287i	−0.198259	−	0.114465i	0.397584	−	0.917566i	$-0.369849\pi$
$479$	−94.9661	−	54.8287i	−0.198259	−	0.114465i	−0.595843	+	0.803101i	$0.703182\pi$
$480$	25.1540	+	81.0387i	0.0524043	+	0.168831i
$481$	−196.258	−	339.929i	−0.408021	−	0.706713i
$482$	521.849			1.08267
$483$	197.961	−	147.735i	0.409858	−	0.305870i
$484$	139.477			0.288175
$485$	467.355	−	398.409i	0.963618	−	0.821461i
$486$	−150.721	+	308.839i	−0.310125	+	0.635470i
$487$	−564.917	−	326.155i	−1.15999	−	0.669723i	−0.208691	−	0.977982i	$-0.566920\pi$
$487$	−564.917	−	326.155i	−1.15999	−	0.669723i	−0.951302	+	0.308259i	$0.900254\pi$
$488$	−67.7200	−	117.294i	−0.138770	−	0.240357i
$489$	−318.335	−	425.570i	−0.650993	−	0.870285i
$490$	−116.689	+	326.242i	−0.238142	+	0.665799i
$491$		−	176.921i		−	0.360328i	−0.983637	−	0.180164i	$-0.942337\pi$
$491$		−	176.921i		−	0.360328i	0.983637	−	0.180164i	$-0.0576628\pi$
$492$	−123.931	+	289.116i	−0.251893	+	0.587634i
$493$	−18.4548	−	10.6549i	−0.0374336	−	0.0216123i
$494$	−208.058	−	120.123i	−0.421171	−	0.243163i
$495$	−131.258	−	294.238i	−0.265168	−	0.594421i
$496$	80.8497			0.163004
$497$	0.981685	−	880.143i	0.00197522	−	1.77091i
$498$	459.564	−	343.764i	0.922820	−	0.690290i
$499$	107.821	+	186.751i	0.216074	+	0.374251i	0.953604	−	0.301063i	$-0.0973415\pi$
$499$	107.821	+	186.751i	0.216074	+	0.374251i	−0.737530	+	0.675314i	$0.764008\pi$
$500$	−5.84813	−	249.932i	−0.0116963	−	0.499863i
$501$	−61.6065	−	516.855i	−0.122967	−	1.03165i
$502$	518.367	−	299.279i	1.03260	−	0.596174i
$503$	333.396			0.662815			0.331408	−	0.943488i	$-0.392476\pi$
$503$	333.396			0.662815			0.331408	+	0.943488i	$0.392476\pi$
$504$	173.245	−	41.6906i	0.343740	−	0.0827195i
$505$	50.9962	+	276.584i	0.100983	+	0.547691i
$506$	103.143	−	59.5495i	0.203840	−	0.117687i
$507$	42.3985	+	355.707i	0.0836262	+	0.701592i
$508$	−105.004	−	60.6241i	−0.206701	−	0.119339i
$509$	38.1549	−	22.0287i	0.0749604	−	0.0432784i	−0.462051	−	0.886853i	$-0.652886\pi$
$509$	38.1549	−	22.0287i	0.0749604	−	0.0432784i	0.537012	+	0.843575i	$0.319553\pi$
$510$	34.9672	−	37.8194i	0.0685630	−	0.0741558i
$511$	454.960	+	263.349i	0.890333	+	0.515359i
$512$	−22.6274			−0.0441942
$513$	−415.243	+	501.797i	−0.809440	+	0.978163i
$514$	121.259	−	210.027i	0.235913	−	0.408612i
$515$	−707.998	−	251.455i	−1.37475	−	0.488263i
$516$	20.3975	−	47.5848i	0.0395301	−	0.0922186i
$517$			634.408i			1.22709i
$518$	477.548	+	276.423i	0.921907	+	0.533635i
$519$	−45.6363	+	34.1370i	−0.0879313	+	0.0657745i
$520$	−75.7895	+	64.6087i	−0.145749	+	0.124248i
$521$	367.661	+	212.269i	0.705684	+	0.407427i	0.809461	−	0.587174i	$-0.199759\pi$
$521$	367.661	+	212.269i	0.705684	+	0.407427i	−0.103777	+	0.994601i	$0.533093\pi$
$522$	80.9008	−	77.0262i	0.154982	−	0.147560i
$523$	220.292	−	127.186i	0.421208	−	0.243185i	−0.274386	−	0.961620i	$-0.588475\pi$
$523$	220.292	−	127.186i	0.421208	−	0.243185i	0.695594	+	0.718435i	$0.255141\pi$
$524$		−	191.060i		−	0.364618i
$525$	−524.550	−	21.7375i	−0.999142	−	0.0414048i
$526$	495.079			0.941215
$527$	−24.5387	−	42.5023i	−0.0465630	−	0.0806496i
$528$	85.3129	−	10.1689i	0.161577	−	0.0192592i
$529$	195.323	−	338.309i	0.369230	−	0.639525i
$530$	89.7801	+	105.317i	0.169396	+	0.198711i
$531$	722.676	+	212.769i	1.36097	+	0.400695i
$532$	337.725	+	0.376688i	0.634821	+	0.000708061i
$533$	−369.194			−0.692672
$534$	26.0422	−	60.7532i	0.0487683	−	0.113770i
$535$	8.46293	−	23.8282i	0.0158186	−	0.0445388i
$536$	−309.666	−	178.786i	−0.577735	−	0.333556i
$537$	148.817	−	347.170i	0.277126	−	0.646499i
$538$		−	44.8228i		−	0.0833137i
$539$	303.433	+	176.091i	0.562955	+	0.326699i
$540$	138.408	+	231.826i	0.256311	+	0.429307i
$541$	−416.076	−	720.665i	−0.769087	−	1.33210i	−0.938059	−	0.346477i	$-0.887378\pi$
$541$	−416.076	−	720.665i	−0.769087	−	1.33210i	0.168972	−	0.985621i	$-0.445955\pi$
$542$	−120.598	+	208.882i	−0.222506	+	0.385392i
$543$	−49.2787	−	413.430i	−0.0907527	−	0.761381i
$544$	6.86765	+	11.8951i	0.0126244	+	0.0218660i
$545$	−99.7279	+	18.3877i	−0.182987	+	0.0337389i
$546$	125.085	+	167.611i	0.229094	+	0.306980i
$547$		−	609.451i		−	1.11417i	−0.830455	−	0.557085i	$-0.811920\pi$
$547$		−	609.451i		−	1.11417i	0.830455	−	0.557085i	$-0.188080\pi$
$548$	108.217	+	187.437i	0.197476	+	0.342038i
$549$	−297.174	−	312.122i	−0.541300	−	0.568529i
$550$	−249.944	−	40.0632i	−0.454444	−	0.0728421i
$551$	183.350	−	105.857i	0.332758	−	0.192118i
$552$	−79.9218	+	59.7833i	−0.144786	+	0.108303i
$553$	−28.6212	−	49.7013i	−0.0517563	−	0.0898758i
$554$		−	485.454i		−	0.876271i
$555$	−184.603	+	815.439i	−0.332618	+	1.46926i
$556$	113.900	−	197.280i	0.204856	−	0.354821i
$557$	−420.634	+	728.559i	−0.755177	+	1.30801i	0.190109	+	0.981763i	$0.439116\pi$
$557$	−420.634	+	728.559i	−0.755177	+	1.30801i	−0.945286	+	0.326242i	$0.894217\pi$
$558$	250.055	−	60.4696i	0.448127	−	0.108368i
$559$	60.7646			0.108702
$560$	47.0026	−	131.874i	0.0839332	−	0.235489i
$561$	−31.2390	−	41.7622i	−0.0556846	−	0.0744424i
$562$	−16.9345	+	9.77712i	−0.0301325	+	0.0173970i
$563$	−63.6150	+	110.184i	−0.112993	+	0.195709i	−0.916976	−	0.398943i	$-0.869377\pi$
$563$	−63.6150	+	110.184i	−0.112993	+	0.195709i	0.803983	+	0.594653i	$0.202710\pi$
$564$	−62.9242	−	527.910i	−0.111568	−	0.936011i
$565$	229.768	+	269.530i	0.406669	+	0.477044i
$566$			587.791i			1.03850i
$567$	504.637	−	258.517i	0.890012	−	0.455938i
$568$			355.632i			0.626112i
$569$	437.386	−	252.525i	0.768692	−	0.443805i	−0.0637158	−	0.997968i	$-0.520295\pi$
$569$	437.386	−	252.525i	0.768692	−	0.443805i	0.832408	+	0.554164i	$0.186962\pi$
$570$	151.699	+	488.729i	0.266139	+	0.857419i
$571$	−567.899	+	983.631i	−0.994570	+	1.72265i	−0.407157	+	0.913358i	$0.633480\pi$
$571$	−567.899	+	983.631i	−0.994570	+	1.72265i	−0.587413	+	0.809287i	$0.699853\pi$
$572$	50.4198	+	87.3296i	0.0881465	+	0.152674i
$573$	465.888	+	622.827i	0.813068	+	1.08696i
$574$	449.752	−	258.996i	0.783540	−	0.451213i
$575$	274.724	−	104.872i	0.477782	−	0.182386i
$576$	−69.9828	+	16.9236i	−0.121498	+	0.0293813i
$577$	310.137	+	179.058i	0.537499	+	0.310325i	0.744065	−	0.668107i	$-0.232895\pi$
$577$	310.137	+	179.058i	0.537499	+	0.310325i	−0.206565	+	0.978433i	$0.566229\pi$
$578$	−200.185	+	346.731i	−0.346341	+	0.599880i
$579$	192.404	−	448.853i	0.332303	−	0.775221i
$580$	−15.9135	−	86.3088i	−0.0274371	−	0.148808i
$581$	−946.904	−	1.05615i	−1.62978	−	0.00181781i
$582$	312.133	+	417.278i	0.536311	+	0.716972i
$583$	121.353	−	70.0632i	0.208153	−	0.120177i
$584$	−183.950	−	106.204i	−0.314983	−	0.181856i
$585$	−186.082	+	256.509i	−0.318088	+	0.438477i
$586$	79.9804	+	138.530i	0.136485	+	0.236400i
$587$	637.230			1.08557			0.542786	−	0.839871i	$-0.317370\pi$
$587$	637.230			1.08557			0.542786	+	0.839871i	$0.317370\pi$
$588$	−269.961	−	116.434i	−0.459118	−	0.198017i
$589$	487.589			0.827826
$590$	450.429	−	383.980i	0.763440	−	0.650814i
$591$	81.8899	+	687.025i	0.138562	+	1.16248i
$592$	−193.083	−	111.476i	−0.326153	−	0.188305i
$593$	283.144	+	490.421i	0.477478	+	0.827016i	0.999667	−	0.0258139i	$-0.00821772\pi$
$593$	283.144	+	490.421i	0.477478	+	0.827016i	−0.522189	+	0.852830i	$0.674884\pi$
$594$	256.253	−	95.2582i	0.431402	−	0.160367i
$595$	−83.5913	+	15.3161i	−0.140490	+	0.0257413i
$596$		−	64.7032i		−	0.108562i
$597$	763.832	+	327.422i	1.27945	+	0.548445i
$598$	−101.449	−	58.5715i	−0.169647	−	0.0979456i
$599$	−134.396	−	77.5938i	−0.224368	−	0.129539i	0.383603	−	0.923498i	$-0.374683\pi$
$599$	−134.396	−	77.5938i	−0.224368	−	0.129539i	−0.607971	+	0.793959i	$0.708016\pi$
$600$	211.960	+	8.54689i	0.353266	+	0.0142448i
$601$	−852.137			−1.41786			−0.708932	−	0.705276i	$-0.750823\pi$
$601$	−852.137			−1.41786			−0.708932	+	0.705276i	$0.750823\pi$
$602$	−74.0234	+	42.6274i	−0.122963	+	0.0708097i
$603$	−1091.46	−	321.347i	−1.81006	−	0.532914i
$604$	−214.448	−	371.435i	−0.355047	−	0.614959i
$605$	116.701	−	328.583i	0.192894	−	0.543112i
$606$	−236.968	+	28.2453i	−0.391036	+	0.0466094i
$607$	−256.188	+	147.910i	−0.422056	+	0.243674i	−0.695957	−	0.718084i	$-0.745019\pi$
$607$	−256.188	+	147.910i	−0.422056	+	0.243674i	0.273900	+	0.961758i	$0.411686\pi$
$608$	−136.462			−0.224443
$609$	−183.032	+	21.6095i	−0.300546	+	0.0354836i
$610$	−332.987	+	61.3958i	−0.545880	+	0.100649i
$611$	540.390	−	311.994i	0.884435	−	0.510629i
$612$	30.1372	+	31.6531i	0.0492437	+	0.0517208i
$613$	619.980	+	357.946i	1.01139	+	0.583925i	0.911598	−	0.411084i	$-0.134850\pi$
$613$	619.980	+	357.946i	1.01139	+	0.583925i	0.0997897	+	0.995009i	$0.468183\pi$
$614$	−251.900	+	145.434i	−0.410260	+	0.236864i
$615$	577.414	+	533.866i	0.938884	+	0.868075i
$616$	−122.685	−	71.0146i	−0.199163	−	0.115283i
$617$	−546.134			−0.885145			−0.442572	−	0.896733i	$-0.645934\pi$
$617$	−546.134			−0.885145			−0.442572	+	0.896733i	$0.645934\pi$
$618$	251.174	−	585.957i	0.406431	−	0.948150i
$619$	−445.587	+	771.779i	−0.719849	+	1.24682i	0.241210	+	0.970473i	$0.422456\pi$
$619$	−445.587	+	771.779i	−0.719849	+	1.24682i	−0.961059	+	0.276343i	$0.910878\pi$
$620$	67.6474	−	190.468i	0.109109	−	0.307207i
$621$	−202.471	+	244.675i	−0.326041	+	0.394002i
$622$		−	254.058i		−	0.408453i
$623$	−94.5084	+	54.4240i	−0.151699	+	0.0873579i
$624$	−50.6177	−	67.6687i	−0.0811180	−	0.108443i
$625$	−593.689	−	195.342i	−0.949902	−	0.312547i
$626$	293.149	+	169.250i	0.468289	+	0.270367i
$627$	514.505	−	61.3264i	0.820583	−	0.0978093i
$628$	214.384	−	123.775i	0.341377	−	0.197094i
$629$			135.337i			0.215162i
$630$	46.7391	−	443.019i	0.0741891	−	0.703204i
$631$	302.275			0.479041			0.239520	−	0.970891i	$-0.423010\pi$
$631$	302.275			0.479041			0.239520	+	0.970891i	$0.423010\pi$
$632$	11.5871	+	20.0695i	0.0183340	+	0.0317555i
$633$	30.2221	+	253.552i	0.0477442	+	0.400555i
$634$	237.098	−	410.666i	0.373972	−	0.647738i
$635$	−230.677	+	196.647i	−0.363272	+	0.309680i
$636$	−94.0322	+	70.3382i	−0.147849	+	0.110595i
$637$	0.769748	−	345.064i	0.00120840	−	0.541701i
$638$	−88.8641			−0.139285
$639$	265.986	+	1099.91i	0.416254	+	1.72130i
$640$	−18.9325	+	53.3063i	−0.0295820	+	0.0832911i
$641$	408.095	+	235.614i	0.636654	+	0.367572i	0.783324	−	0.621613i	$-0.213522\pi$
$641$	408.095	+	235.614i	0.636654	+	0.367572i	−0.146671	+	0.989185i	$0.546856\pi$
$642$	19.7208	+	8.45346i	0.0307178	+	0.0131674i
$643$			645.383i			1.00371i	0.864953	+	0.501853i	$0.167348\pi$
$643$			645.383i			1.00371i	−0.864953	+	0.501853i	$0.832652\pi$
$644$	164.674	+	0.183672i	0.255705	+	0.000285205i
$645$	−95.0349	−	87.8675i	−0.147341	−	0.136229i
$646$	41.4175	+	71.7372i	0.0641138	+	0.111048i
$647$	295.133	−	511.186i	0.456157	−	0.790086i	−0.542597	−	0.839993i	$-0.682559\pi$
$647$	295.133	−	511.186i	0.456157	−	0.790086i	0.998754	+	0.0499067i	$0.0158924\pi$
$648$	−203.787	+	104.684i	−0.314487	+	0.161549i
$649$	−299.653	−	519.014i	−0.461715	−	0.799714i
$650$	88.7936	+	232.605i	0.136606	+	0.357854i
$651$	−389.943	−	167.666i	−0.598990	−	0.257552i
$652$		−	354.305i		−	0.543412i
$653$	−546.903	−	947.264i	−0.837524	−	1.45063i	−0.891959	−	0.452116i	$-0.850669\pi$
$653$	−546.903	−	947.264i	−0.837524	−	1.45063i	0.0544355	−	0.998517i	$-0.482664\pi$
$654$	−10.1844	−	85.4435i	−0.0155725	−	0.130648i
$655$	−450.104	−	159.861i	−0.687182	−	0.244062i
$656$	−181.611	+	104.853i	−0.276845	+	0.159837i
$657$	−648.360	−	190.889i	−0.986849	−	0.290547i
$658$	−439.433	+	759.164i	−0.667832	+	1.15374i
$659$			165.177i			0.250648i	0.992116	+	0.125324i	$0.0399971\pi$
$659$			165.177i			0.250648i	−0.992116	+	0.125324i	$0.960003\pi$
$660$	47.4256	−	209.491i	0.0718570	−	0.317410i
$661$	128.965	−	223.374i	0.195106	−	0.337934i	−0.751829	−	0.659358i	$-0.770828\pi$
$661$	128.965	−	223.374i	0.195106	−	0.337934i	0.946935	+	0.321424i	$0.104162\pi$
$662$	−53.7493	+	93.0965i	−0.0811923	+	0.140629i
$663$	−20.2101	+	47.1476i	−0.0304828	+	0.0711125i
$664$	382.607			0.576216
$665$	283.464	−	795.307i	0.426261	−	1.19595i
$666$	−680.549	−	200.366i	−1.02184	−	0.300850i
$667$	89.4009	−	51.6156i	0.134034	−	0.0773848i
$668$	173.505	−	300.519i	0.259737	−	0.449878i
$669$	1059.08	−	126.237i	1.58308	−	0.188695i
$670$	−680.288	+	579.929i	−1.01536	+	0.865566i
$671$			342.845i			0.510947i
$672$	109.133	+	46.9248i	0.162401	+	0.0698286i
$673$		−	982.005i		−	1.45915i	−0.683903	−	0.729573i	$-0.739719\pi$
$673$		−	982.005i		−	1.45915i	0.683903	−	0.729573i	$-0.260281\pi$
$674$	−789.481	+	455.807i	−1.17134	+	0.676272i
$675$	661.948	−	132.096i	0.980664	−	0.195698i
$676$	−119.408	+	206.821i	−0.176640	+	0.305949i
$677$	397.241	+	688.041i	0.586766	+	1.01631i	0.994653	+	0.103276i	$0.0329325\pi$
$677$	397.241	+	688.041i	0.586766	+	1.01631i	−0.407887	+	0.913033i	$0.633734\pi$
$678$	−240.650	+	180.012i	−0.354941	+	0.265504i
$679$	0.958967	−	859.775i	0.00141232	−	1.26624i
$680$	33.7691	−	6.22630i	0.0496604	−	0.00915633i
$681$	−890.350	−	381.654i	−1.30742	−	0.560432i
$682$	−177.240	−	102.329i	−0.259882	−	0.150043i
$683$	−92.7635	+	160.671i	−0.135818	+	0.235243i	−0.925910	−	0.377745i	$-0.876700\pi$
$683$	−92.7635	+	160.671i	−0.135818	+	0.235243i	0.790092	+	0.612989i	$0.210033\pi$
$684$	−422.053	+	102.063i	−0.617036	+	0.149215i
$685$	532.115	−	98.1108i	0.776810	−	0.143227i
$686$	241.131	+	420.897i	0.351502	+	0.613552i
$687$	355.524	−	265.940i	0.517503	−	0.387103i
$688$	29.8908	−	17.2574i	0.0434459	−	0.0250835i
$689$	−119.360	−	68.9124i	−0.173236	−	0.100018i
$690$	73.9681	+	238.303i	0.107200	+	0.345367i
$691$	−32.7555	−	56.7341i	−0.0474030	−	0.0821044i	0.841350	−	0.540490i	$-0.181761\pi$
$691$	−32.7555	−	56.7341i	−0.0474030	−	0.0821044i	−0.888753	+	0.458386i	$0.848428\pi$
$692$	−37.9942			−0.0549049
$693$	−432.557	−	127.877i	−0.624180	−	0.184527i
$694$	−634.355			−0.914057
$695$	−369.458	−	433.394i	−0.531595	−	0.623589i
$696$	73.9465	−	8.81404i	0.106245	−	0.0126639i
$697$	110.241	+	63.6478i	0.158165	+	0.0913168i
$698$	−429.050	−	743.137i	−0.614685	−	1.06467i
$699$	−615.513	+	460.417i	−0.880562	+	0.658679i
$700$	−271.345	−	221.070i	−0.387636	−	0.315814i
$701$			965.721i			1.37763i	0.724936	+	0.688816i	$0.241869\pi$
$701$			965.721i			1.37763i	−0.724936	+	0.688816i	$0.758131\pi$
$702$	−207.163	−	171.430i	−0.295104	−	0.244202i
$703$	−1164.45	−	672.293i	−1.65639	−	0.956320i
$704$	49.6041	+	28.6389i	0.0704603	+	0.0406803i
$705$	−1296.31	−	293.466i	−1.83874	−	0.416264i
$706$	−605.651			−0.857863
$707$	340.773	+	197.252i	0.481998	+	0.278999i
$708$	300.829	+	402.166i	0.424900	+	0.568031i
$709$	351.730	+	609.214i	0.496093	+	0.859258i	0.999990	−	0.00450607i	$-0.00143433\pi$
$709$	351.730	+	609.214i	0.496093	+	0.859258i	−0.503897	+	0.863764i	$0.668101\pi$
$710$	837.807	+	297.559i	1.18001	+	0.419097i
$711$	50.8474	+	53.4052i	0.0715154	+	0.0751127i
$712$	38.1626	−	22.0332i	0.0535991	−	0.0309455i
$713$	237.747			0.333446
$714$	−8.45490	−	71.6130i	−0.0118416	−	0.100298i
$715$	247.920	−	45.7112i	0.346741	−	0.0639318i
$716$	218.078	−	125.907i	0.304578	−	0.175848i
$717$	253.298	−	30.1918i	0.353274	−	0.0421085i
$718$	−858.949	−	495.914i	−1.19631	−	0.690689i
$719$	649.908	−	375.224i	0.903905	−	0.521870i	0.0254398	−	0.999676i	$-0.491901\pi$
$719$	649.908	−	375.224i	0.903905	−	0.521870i	0.878465	+	0.477807i	$0.158568\pi$
$720$	−18.6858	+	179.027i	−0.0259525	+	0.248649i
$721$	−911.521	+	524.912i	−1.26425	+	0.728034i
$722$	−312.443			−0.432746
$723$	1017.47	+	436.145i	1.40729	+	0.603243i
$724$	138.785	−	240.384i	0.191693	−	0.332021i
$725$	−216.644	−	34.7255i	−0.298819	−	0.0478972i
$726$	271.943	+	116.570i	0.374577	+	0.160565i
$727$		−	674.589i		−	0.927908i	−0.885859	−	0.463954i	$-0.846430\pi$
$727$		−	674.589i		−	0.927908i	0.885859	−	0.463954i	$-0.153570\pi$
$728$	−0.155513	+	139.427i	−0.000213616	+	0.191521i
$729$	−551.984	+	476.187i	−0.757180	+	0.653206i
$730$	−404.110	+	344.494i	−0.553575	+	0.471910i
$731$	−18.1443	−	10.4756i	−0.0248212	−	0.0143305i
$732$	−34.0053	−	285.292i	−0.0464554	−	0.389743i
$733$	−330.354	+	190.730i	−0.450688	+	0.260205i	−0.708121	−	0.706091i	$-0.750457\pi$
$733$	−330.354	+	190.730i	−0.450688	+	0.260205i	0.257433	+	0.966296i	$0.417123\pi$
$734$		−	618.475i		−	0.842610i
$735$	−500.177	+	538.561i	−0.680513	+	0.732736i
$736$	−66.5383			−0.0904053
$737$	452.569	+	783.872i	0.614069	+	1.06360i
$738$	−483.269	+	460.123i	−0.654835	+	0.623473i
$739$	88.3245	−	152.983i	0.119519	−	0.207013i	−0.800058	−	0.599922i	$-0.795198\pi$
$739$	88.3245	−	152.983i	0.119519	−	0.207013i	0.919577	+	0.392910i	$0.128531\pi$
$740$	−424.173	+	361.597i	−0.573206	+	0.488645i
$741$	−305.265	−	408.097i	−0.411964	−	0.550738i
$742$	193.747	+	0.216100i	0.261115	+	0.000291240i
$743$	722.670			0.972637			0.486319	−	0.873781i	$-0.338339\pi$
$743$	722.670			0.972637			0.486319	+	0.873781i	$0.338339\pi$
$744$	157.636	+	67.5717i	0.211876	+	0.0908222i
$745$	−152.430	−	54.1375i	−0.204604	−	0.0726678i
$746$	254.338	+	146.842i	0.340936	+	0.196840i
$747$	1183.34	−	286.162i	1.58412	−	0.383081i
$748$		−	34.7688i		−	0.0464824i
$749$	−17.6663	−	30.6779i	−0.0235866	−	0.0409585i
$750$	197.483	−	492.190i	0.263310	−	0.656253i
$751$	324.799	+	562.568i	0.432489	+	0.749092i	0.997087	−	0.0762737i	$-0.0243023\pi$
$751$	324.799	+	562.568i	0.432489	+	0.749092i	−0.564598	+	0.825366i	$0.690969\pi$
$752$	177.216	−	306.946i	0.235659	−	0.408173i
$753$	1260.81	−	150.282i	1.67438	−	0.199578i
$754$	43.7023	+	75.6945i	0.0579606	+	0.100391i
$755$	−1054.47	+	194.421i	−1.39665	+	0.257512i
$756$	372.627	+	63.5070i	0.492893	+	0.0840040i
$757$		−	181.051i		−	0.239169i	−0.992824	−	0.119584i	$-0.961844\pi$
$757$		−	181.051i		−	0.239169i	0.992824	−	0.119584i	$-0.0381562\pi$
$758$	−301.485	−	522.188i	−0.397738	−	0.688902i
$759$	250.871	−	29.9026i	0.330529	−	0.0393974i
$760$	−114.178	+	321.480i	−0.150234	+	0.423000i
$761$	−1061.73	+	612.990i	−1.39518	+	0.805506i	−0.993882	−	0.110443i	$-0.964773\pi$
$761$	−1061.73	+	612.990i	−1.39518	+	0.805506i	−0.401295	+	0.915949i	$0.631440\pi$
$762$	−154.063	−	205.961i	−0.202182	−	0.270289i
$763$	−71.1233	+	122.873i	−0.0932154	+	0.161039i
$764$			518.530i			0.678704i
$765$	99.7852	−	44.5136i	0.130438	−	0.0581878i
$766$	131.359	−	227.521i	0.171488	−	0.297025i
$767$	−294.731	+	510.490i	−0.384265	+	0.665567i
$768$	−44.1176	−	18.9113i	−0.0574448	−	0.0246241i
$769$	−741.584			−0.964349			−0.482174	−	0.876075i	$-0.660153\pi$
$769$	−741.584			−0.964349			−0.482174	+	0.876075i	$0.660153\pi$
$770$	−269.949	+	229.606i	−0.350583	+	0.298189i
$771$	411.958	−	308.153i	0.534316	−	0.399680i
$772$	281.950	−	162.784i	0.365221	−	0.210860i
$773$	−0.777017	+	1.34583i	−0.00100520	+	0.00174105i	−0.866528	−	0.499129i	$-0.833653\pi$
$773$	−0.777017	+	1.34583i	−0.00100520	+	0.00174105i	0.865522	+	0.500870i	$0.166987\pi$
$774$	79.5398	−	75.7304i	0.102765	−	0.0978429i
$775$	−392.109	−	318.731i	−0.505947	−	0.411266i
$776$			347.402i			0.447683i
$777$	700.068	+	938.073i	0.900989	+	1.20730i
$778$			767.357i			0.986320i
$779$	−1095.26	+	632.348i	−1.40598	+	0.811743i
$780$	−201.768	+	62.6278i	−0.258677	+	0.0802920i
$781$	450.114	−	779.619i	0.576330	−	0.998232i
$782$	20.1951	+	34.9789i	0.0258249	+	0.0447300i
$783$	222.112	−	82.5668i	0.283668	−	0.105449i
$784$	−97.6211	−	169.959i	−0.124517	−	0.216785i
$785$	−112.216	−	608.616i	−0.142950	−	0.775307i
$786$	159.682	−	372.517i	0.203158	−	0.473941i
$787$	516.324	+	298.100i	0.656066	+	0.378780i	0.790776	−	0.612105i	$-0.209677\pi$
$787$	516.324	+	298.100i	0.656066	+	0.378780i	−0.134711	+	0.990885i	$0.543010\pi$
$788$	−230.629	+	399.462i	−0.292677	+	0.506931i
$789$	965.276	+	413.772i	1.22342	+	0.524426i
$790$	56.9752	−	10.5050i	0.0721205	−	0.0132975i
$791$	495.844	+	0.553050i	0.626858	+	0.000699178i
$792$	174.837	+	51.4752i	0.220754	+	0.0649939i
$793$	292.036	−	168.607i	0.368268	−	0.212619i
$794$	−321.584	−	185.667i	−0.405018	−	0.233837i
$795$	87.0274	+	280.376i	0.109468	+	0.352674i
$796$	277.017	+	479.807i	0.348011	+	0.602773i
$797$	796.553			0.999439			0.499720	−	0.866187i	$-0.333436\pi$
$797$	796.553			0.999439			0.499720	+	0.866187i	$0.333436\pi$
$798$	658.162	+	282.995i	0.824764	+	0.354630i
$799$	−215.147			−0.269270
$800$	109.740	+	89.2033i	0.137174	+	0.111504i
$801$	101.551	−	96.6877i	0.126781	−	0.120709i
$802$	141.320	+	81.5912i	0.176210	+	0.101735i
$803$	268.839	+	465.642i	0.334793	+	0.579878i
$804$	−454.345	−	607.396i	−0.565106	−	0.755467i
$805$	138.216	−	387.790i	0.171697	−	0.481726i
$806$			201.297i			0.249749i
$807$	37.4615	−	87.3928i	0.0464207	−	0.108293i
$808$	−137.782	−	79.5483i	−0.170522	−	0.0984509i
$809$	956.082	+	551.994i	1.18181	+	0.682317i	0.956432	−	0.291955i	$-0.0943058\pi$
$809$	956.082	+	551.994i	1.18181	+	0.682317i	0.225376	+	0.974272i	$0.427639\pi$
$810$	76.1073	+	567.677i	0.0939596	+	0.700836i
$811$	1030.67			1.27087			0.635435	−	0.772155i	$-0.280821\pi$
$811$	1030.67			1.27087			0.635435	+	0.772155i	$0.280821\pi$
$812$	−106.339	−	61.5532i	−0.130960	−	0.0758044i
$813$	−409.713	+	306.474i	−0.503951	+	0.376967i
$814$	282.185	+	488.760i	0.346665	+	0.600442i
$815$	−834.681	−	296.449i	−1.02415	−	0.363741i
$816$	3.44857	+	28.9322i	0.00422619	+	0.0354561i
$817$	180.265	−	104.076i	0.220643	−	0.127388i
$818$	−582.426			−0.712012
$819$	103.800	+	431.341i	0.126740	+	0.526668i
$820$	95.0610	+	515.574i	0.115928	+	0.628749i
$821$	−539.449	+	311.451i	−0.657063	+	0.379355i	−0.791157	−	0.611613i	$-0.790521\pi$
$821$	−539.449	+	311.451i	−0.657063	+	0.379355i	0.134094	+	0.990969i	$0.457188\pi$
$822$	54.3407	+	455.898i	0.0661079	+	0.554620i
$823$	236.754	+	136.690i	0.287672	+	0.166088i	0.636892	−	0.770953i	$-0.280220\pi$
$823$	236.754	+	136.690i	0.287672	+	0.166088i	−0.349219	+	0.937041i	$0.613553\pi$
$824$	368.073	−	212.507i	0.446691	−	0.257897i
$825$	−453.843	−	287.008i	−0.550113	−	0.347889i
$826$	0.924238	−	828.638i	0.00111893	−	1.00319i
$827$	679.547			0.821701			0.410850	−	0.911703i	$-0.365232\pi$
$827$	679.547			0.821701			0.410850	+	0.911703i	$0.365232\pi$
$828$	−205.792	+	49.7657i	−0.248541	+	0.0601035i
$829$	−536.469	+	929.192i	−0.647128	+	1.12086i	0.336678	+	0.941620i	$0.390697\pi$
$829$	−536.469	+	929.192i	−0.647128	+	1.12086i	−0.983806	+	0.179239i	$0.942637\pi$
$830$	320.129	−	901.356i	0.385698	−	1.08597i
$831$	405.728	−	946.510i	0.488240	−	1.13900i
$832$		−	56.3371i		−	0.0677128i
$833$	−59.7177	+	102.903i	−0.0716899	+	0.123533i
$834$	386.956	−	289.452i	0.463976	−	0.347065i
$835$	−562.798	−	660.192i	−0.674010	−	0.790649i
$836$	299.153	+	172.716i	0.357838	+	0.206598i
$837$	538.080	+	91.0879i	0.642868	+	0.108827i
$838$	−230.232	+	132.925i	−0.274740	+	0.158621i
$839$		−	1354.96i		−	1.61497i	−0.589885	−	0.807487i	$-0.700827\pi$
$839$		−	1354.96i		−	1.61497i	0.589885	−	0.807487i	$-0.299173\pi$
$840$	201.859	−	217.837i	0.240308	−	0.259330i
$841$	763.975			0.908413
$842$	196.819	+	340.900i	0.233751	+	0.404869i
$843$	−41.1892	+	4.90955i	−0.0488603	+	0.00582390i
$844$	−85.1155	+	147.424i	−0.100848	+	0.174673i
$845$	387.326	+	454.354i	0.458374	+	0.537697i
$846$	318.525	−	1081.88i	0.376507	−	1.27882i
$847$	−243.612	−	423.038i	−0.287618	−	0.499454i
$848$	−78.2858			−0.0923182
$849$	−491.257	+	1146.04i	−0.578631	+	1.34987i
$850$	13.5866	−	84.7637i	0.0159843	−	0.0997220i
$851$	−567.780	−	327.808i	−0.667192	−	0.385204i
$852$	−297.226	+	693.390i	−0.348857	+	0.813838i
$853$		−	447.622i		−	0.524762i	−0.964964	−	0.262381i	$-0.915492\pi$
$853$		−	447.622i		−	0.524762i	0.964964	−	0.262381i	$-0.0845077\pi$
$854$	−237.478	+	410.266i	−0.278077	+	0.480405i
$855$	−112.690	+	1079.68i	−0.131802	+	1.26278i
$856$	7.15210	+	12.3878i	0.00835525	+	0.0144717i
$857$	−583.427	+	1010.53i	−0.680778	+	1.17914i	0.293965	+	0.955816i	$0.405025\pi$
$857$	−583.427	+	1010.53i	−0.680778	+	1.17914i	−0.974744	+	0.223326i	$0.928308\pi$
$858$	25.3181	+	212.409i	0.0295083	+	0.247563i
$859$	−242.597	−	420.191i	−0.282418	−	0.489163i	0.689561	−	0.724227i	$-0.257803\pi$
$859$	−242.597	−	420.191i	−0.282418	−	0.489163i	−0.971980	+	0.235064i	$0.924470\pi$
$860$	−15.6458	−	84.8569i	−0.0181928	−	0.0986708i
$861$	1093.36	−	129.086i	1.26987	−	0.149926i
$862$		−	409.102i		−	0.474596i
$863$	−476.994	−	826.178i	−0.552716	−	0.957333i	−0.998077	−	0.0619817i	$-0.980258\pi$
$863$	−476.994	−	826.178i	−0.552716	−	0.957333i	0.445361	−	0.895351i	$-0.353075\pi$
$864$	−150.593	−	25.4928i	−0.174297	−	0.0295055i
$865$	−31.7899	+	89.5078i	−0.0367514	+	0.103477i
$866$	−692.331	+	399.717i	−0.799458	+	0.461567i
$867$	−680.096	+	508.727i	−0.784424	+	0.586767i
$868$	−141.214	−	245.220i	−0.162689	−	0.282512i
$869$		−	58.6620i		−	0.0675051i
$870$	41.1070	−	181.580i	0.0472494	−	0.208713i
$871$	445.136	−	770.998i	0.511063	−	0.885187i
$872$	28.6828	−	49.6800i	0.0328931	−	0.0569725i
$873$	259.831	+	1074.45i	0.297630	+	1.23076i
$874$	−401.280			−0.459130
$875$	−747.838	+	454.273i	−0.854672	+	0.519169i
$876$	−269.894	−	360.810i	−0.308098	−	0.411883i
$877$	−636.114	+	367.261i	−0.725329	+	0.418769i	−0.816711	−	0.577047i	$-0.804205\pi$
$877$	−636.114	+	367.261i	−0.725329	+	0.418769i	0.0913816	+	0.995816i	$0.470872\pi$
$878$	218.523	−	378.493i	0.248887	−	0.431085i
$879$	40.1619	+	336.943i	0.0456904	+	0.383325i
$880$	108.972	−	92.8963i	0.123832	−	0.105564i
$881$		−	939.200i		−	1.06606i	−0.846096	−	0.533031i	$-0.821053\pi$
$881$		−	939.200i		−	1.06606i	0.846096	−	0.533031i	$-0.178947\pi$
$882$	−429.042	−	452.642i	−0.486443	−	0.513199i
$883$			58.4468i			0.0661911i	0.999452	+	0.0330956i	$0.0105366\pi$
$883$			58.4468i			0.0661911i	−0.999452	+	0.0330956i	$0.989463\pi$
$884$	−29.6161	+	17.0989i	−0.0335024	+	0.0193426i
$885$	1199.14	−	372.207i	1.35496	−	0.420573i
$886$	−136.742	+	236.844i	−0.154336	+	0.267318i
$887$	−393.337	−	681.280i	−0.443446	−	0.768072i	0.554496	−	0.832186i	$-0.312911\pi$
$887$	−393.337	−	681.280i	−0.443446	−	0.768072i	−0.997943	+	0.0641147i	$0.979578\pi$
$888$	−283.293	−	378.723i	−0.319024	−	0.426490i
$889$	−0.473328	+	424.369i	−0.000532427	+	0.477355i
$890$	−19.9756	−	108.340i	−0.0224445	−	0.121730i
$891$	579.240	+	28.4392i	0.650101	+	0.0319183i
$892$	615.788	+	355.525i	0.690345	+	0.398571i
$893$	1068.75	−	1851.14i	1.19681	−	2.07294i
$894$	54.0770	−	126.155i	0.0604888	−	0.141113i
$895$	−114.149	−	619.100i	−0.127541	−	0.691732i
$896$	39.5215	+	68.6298i	0.0441088	+	0.0765958i
$897$	−148.847	−	198.987i	−0.165938	−	0.221836i
$898$	295.625	−	170.679i	0.329203	−	0.190066i
$899$	−153.626	−	88.6958i	−0.170885	−	0.0986606i
$900$	406.123	+	193.814i	0.451248	+	0.215348i
$901$	23.7606	+	41.1545i	0.0263713	+	0.0456765i
$902$	530.838			0.588512
$903$	−179.953	+	21.2460i	−0.199284	+	0.0235282i
$904$	−200.352			−0.221628
$905$	−450.180	−	528.085i	−0.497436	−	0.583519i
$906$	−107.684	−	903.431i	−0.118857	−	0.997165i
$907$	172.579	+	99.6384i	0.190274	+	0.109855i	0.592111	−	0.805856i	$-0.298295\pi$
$907$	172.579	+	99.6384i	0.190274	+	0.109855i	−0.401837	+	0.915711i	$0.631628\pi$
$908$	−322.901	−	559.280i	−0.355617	−	0.615948i
$909$	−485.632	−	142.979i	−0.534248	−	0.157293i
$910$	328.336	+	117.026i	0.360809	+	0.128600i
$911$			31.2958i			0.0343532i	0.999852	+	0.0171766i	$0.00546775\pi$
$911$			31.2958i			0.0343532i	−0.999852	+	0.0171766i	$0.994532\pi$
$912$	−266.065	−	114.050i	−0.291738	−	0.125055i
$913$	−838.755	−	484.256i	−0.918680	−	0.530400i
$914$	7.76461	+	4.48290i	0.00849520	+	0.00490471i
$915$	−700.551	−	158.594i	−0.765630	−	0.173327i
$916$	295.989			0.323132
$917$	−579.492	+	333.709i	−0.631944	+	0.363914i
$918$	32.3050	+	86.9031i	0.0351906	+	0.0946657i
$919$	784.863	+	1359.42i	0.854040	+	1.47924i	0.877533	+	0.479517i	$0.159188\pi$
$919$	784.863	+	1359.42i	0.854040	+	1.47924i	−0.0234927	+	0.999724i	$0.507479\pi$
$920$	−55.6729	+	156.753i	−0.0605140	+	0.170383i
$921$	−612.689	+	73.0294i	−0.665243	+	0.0792936i
$922$	−77.1981	+	44.5704i	−0.0837290	+	0.0483410i
$923$	−885.441			−0.959308
$924$	−179.852	−	240.996i	−0.194644	−	0.260818i
$925$	496.953	+	1301.83i	0.537247	+	1.40738i
$926$	−209.238	+	120.804i	−0.225959	+	0.130458i
$927$	979.449	−	932.541i	1.05658	−	1.00598i
$928$	42.9952	+	24.8233i	0.0463311	+	0.0267492i
$929$	1359.58	−	784.952i	1.46349	−	0.844943i	0.464315	−	0.885670i	$-0.346301\pi$
$929$	1359.58	−	784.952i	1.46349	−	0.844943i	0.999170	+	0.0407268i	$0.0129673\pi$
$930$	291.082	−	314.826i	0.312992	−	0.338522i
$931$	−588.734	−	1024.99i	−0.632367	−	1.10096i
$932$	−512.441			−0.549829
$933$	212.334	−	495.347i	0.227582	−	0.530918i
$934$	170.540	−	295.384i	0.182591	−	0.316257i
$935$	−81.9094	−	29.0912i	−0.0876036	−	0.0311136i
$936$	−42.1359	−	174.241i	−0.0450170	−	0.186155i
$937$		−	1487.98i		−	1.58803i	−0.607901	−	0.794013i	$-0.707988\pi$
$937$		−	1487.98i		−	1.58803i	0.607901	−	0.794013i	$-0.292012\pi$
$938$	−1.39589	+	1251.50i	−0.00148815	+	1.33422i
$939$	430.111	+	574.998i	0.458052	+	0.612352i
$940$	−574.836	−	674.313i	−0.611528	−	0.717354i
$941$	−444.759	−	256.782i	−0.472645	−	0.272882i	0.244702	−	0.969598i	$-0.421310\pi$
$941$	−444.759	−	256.782i	−0.472645	−	0.272882i	−0.717346	+	0.696717i	$0.754643\pi$
$942$	521.441	−	62.1532i	0.553547	−	0.0659800i
$943$	−534.045	+	308.331i	−0.566325	+	0.326968i
$944$			334.821i			0.354683i
$945$	461.390	−	824.708i	0.488244	−	0.872707i
$946$	−87.3691			−0.0923563
$947$	−537.505	−	930.985i	−0.567587	−	0.983089i	−0.996804	−	0.0798878i	$-0.974544\pi$
$947$	−537.505	−	930.985i	−0.567587	−	0.983089i	0.429217	−	0.903201i	$-0.358790\pi$
$948$	5.81843	+	48.8144i	0.00613758	+	0.0514920i
$949$	264.423	−	457.994i	0.278633	−	0.482607i
$950$	661.818	+	537.968i	0.696651	+	0.566282i
$951$	805.502	−	602.533i	0.847005	−	0.633578i
$952$	24.0832	−	41.6061i	0.0252975	−	0.0437039i
$953$	1252.50			1.31427			0.657133	−	0.753774i	$-0.271769\pi$
$953$	1252.50			1.31427			0.657133	+	0.753774i	$0.271769\pi$
$954$	−242.125	+	58.5520i	−0.253800	+	0.0613752i
$955$	1221.57	+	433.857i	1.27913	+	0.454300i
$956$	147.277	+	85.0303i	0.154055	+	0.0889438i
$957$	−173.262	−	74.2698i	−0.181047	−	0.0776069i
$958$		−	155.079i		−	0.161878i
$959$	379.490	−	655.607i	0.395715	−	0.683636i
$960$	−81.4652	+	88.1103i	−0.0848595	+	0.0917816i
$961$	276.229	+	478.442i	0.287439	+	0.497859i
$962$	277.551	−	480.732i	0.288514	−	0.499721i
$963$	31.3854	+	32.9641i	0.0325912	+	0.0342307i
$964$	369.003	+	639.132i	0.382783	+	0.662999i
$965$	−147.582	−	800.429i	−0.152935	−	0.829460i
$966$	320.918	+	137.987i	0.332213	+	0.142844i
$967$			1694.07i			1.75188i	0.482420	+	0.875940i	$0.339758\pi$
$967$			1694.07i			1.75188i	−0.482420	+	0.875940i	$0.660242\pi$
$968$	98.6248	+	170.823i	0.101885	+	0.176470i
$969$	20.7977	+	174.484i	0.0214630	+	0.180066i
$970$	818.419	+	290.673i	0.843731	+	0.299663i
$971$	1127.86	−	651.170i	1.16154	−	0.670618i	0.209871	−	0.977729i	$-0.432696\pi$
$971$	1127.86	−	651.170i	1.16154	−	0.670618i	0.951674	+	0.307111i	$0.0993622\pi$
$972$	−484.824	+	33.7872i	−0.498790	+	0.0347605i
$973$	−797.299	−	0.889283i	−0.819424	−	0.000913960i
$974$		−	922.505i		−	0.947131i
$975$	−21.2798	+	527.731i	−0.0218254	+	0.541263i
$976$	95.7705	−	165.879i	0.0981255	−	0.169958i
$977$	287.292	−	497.605i	0.294056	−	0.509319i	−0.680709	−	0.732554i	$-0.738328\pi$
$977$	287.292	−	497.605i	0.294056	−	0.509319i	0.974765	+	0.223235i	$0.0716616\pi$
$978$	296.117	−	690.803i	0.302778	−	0.706342i
$979$	−111.547			−0.113940
$980$	−482.075	+	87.7729i	−0.491913	+	0.0895642i
$981$	51.5540	−	175.104i	0.0525525	−	0.178496i
$982$	216.683	−	125.102i	0.220655	−	0.127395i
$983$	−619.075	+	1072.27i	−0.629781	+	1.09081i	0.357814	+	0.933793i	$0.383522\pi$
$983$	−619.075	+	1072.27i	−0.629781	+	1.09081i	−0.987595	+	0.157021i	$0.949811\pi$
$984$	−441.726	+	52.6515i	−0.448909	+	0.0535076i
$985$	748.094	+	877.555i	0.759487	+	0.890918i
$986$		−	30.1365i		−	0.0305644i
$987$	−1491.27	+	1112.91i	−1.51091	+	1.12757i
$988$		−	339.758i		−	0.343885i
$989$	87.8969	−	50.7473i	0.0888746	−	0.0513117i
$990$	267.553	−	368.816i	0.270256	−	0.372541i
$991$	−262.675	+	454.967i	−0.265061	+	0.459098i	−0.967579	−	0.252567i	$-0.918725\pi$
$991$	−262.675	+	454.967i	−0.265061	+	0.459098i	0.702519	+	0.711665i	$0.252059\pi$
$992$	57.1694	+	99.0203i	0.0576304	+	0.0998189i
$993$	−182.604	+	136.592i	−0.183892	+	0.137555i
$994$	1078.64	−	621.153i	1.08516	−	0.624902i
$995$	1362.12	−	251.147i	1.36897	−	0.252409i
$996$	745.985	+	319.771i	0.748981	+	0.321055i
$997$	7.87841	+	4.54860i	0.00790211	+	0.00456229i	0.503946	−	0.863735i	$-0.331881\pi$
$997$	7.87841	+	4.54860i	0.00790211	+	0.00456229i	−0.496044	+	0.868298i	$0.665214\pi$
$998$	−152.482	+	264.106i	−0.152787	+	0.264635i
$999$	−1159.43	−	959.444i	−1.16059	−	0.960404i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	210.3.q.a.179.25	yes	64
3.2	odd	2	inner	210.3.q.a.179.14	yes	64
5.4	even	2	inner	210.3.q.a.179.8	yes	64
7.2	even	3	inner	210.3.q.a.149.19	yes	64
15.14	odd	2	inner	210.3.q.a.179.19	yes	64
21.2	odd	6	inner	210.3.q.a.149.8	✓	64
35.9	even	6	inner	210.3.q.a.149.14	yes	64
105.44	odd	6	inner	210.3.q.a.149.25	yes	64

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
210.3.q.a.149.8	✓	64	21.2	odd	6	inner
210.3.q.a.149.14	yes	64	35.9	even	6	inner
210.3.q.a.149.19	yes	64	7.2	even	3	inner
210.3.q.a.149.25	yes	64	105.44	odd	6	inner
210.3.q.a.179.8	yes	64	5.4	even	2	inner
210.3.q.a.179.14	yes	64	3.2	odd	2	inner
210.3.q.a.179.19	yes	64	15.14	odd	2	inner
210.3.q.a.179.25	yes	64	1.1	even	1	trivial

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 210 = 2 \cdot 3 \cdot 5 \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 3 \)
Character orbit:	\([\chi]\)	\(=\)	210.q (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(0.707107 + 1.22474i) q^{2} +(0.355071 + 2.97891i) q^{3} +(-1.00000 + 1.73205i) q^{4} +(3.24371 + 3.80504i) q^{5} +(-3.39734 + 2.54128i) q^{6} +(7.00000 + 0.00780758i) q^{7} -2.82843 q^{8} +(-8.74785 + 2.11545i) q^{9} +O(q^{10})\)	\(q+(0.707107 + 1.22474i) q^{2} +(0.355071 + 2.97891i) q^{3} +(-1.00000 + 1.73205i) q^{4} +(3.24371 + 3.80504i) q^{5} +(-3.39734 + 2.54128i) q^{6} +(7.00000 + 0.00780758i) q^{7} -2.82843 q^{8} +(-8.74785 + 2.11545i) q^{9} +(-2.36656 + 6.66329i) q^{10} +(6.20051 + 3.57986i) q^{11} +(-5.51470 - 2.36391i) q^{12} -7.04213i q^{13} +(4.94018 + 8.57873i) q^{14} +(-10.1831 + 11.0138i) q^{15} +(-2.00000 - 3.46410i) q^{16} +(-1.21404 + 2.10278i) q^{17} +(-8.77655 - 9.21803i) q^{18} +(-12.0616 - 20.8913i) q^{19} +(-9.83424 + 1.81323i) q^{20} +(2.46224 + 20.8552i) q^{21} +10.1254i q^{22} +(-5.88121 - 10.1866i) q^{23} +(-1.00429 - 8.42564i) q^{24} +(-3.95671 + 24.6849i) q^{25} +(8.62482 - 4.97954i) q^{26} +(-9.40786 - 25.3079i) q^{27} +(-7.01352 + 12.1165i) q^{28} +8.77636i q^{29} +(-20.6897 - 4.68383i) q^{30} +(-10.1062 + 17.5045i) q^{31} +(2.82843 - 4.89898i) q^{32} +(-8.46248 + 19.7419i) q^{33} -3.43383 q^{34} +(22.6762 + 26.6606i) q^{35} +(5.08378 - 17.2672i) q^{36} +(48.2707 - 27.8691i) q^{37} +(17.0577 - 29.5448i) q^{38} +(20.9779 - 2.50046i) q^{39} +(-9.17459 - 10.7623i) q^{40} -52.4264i q^{41} +(-23.8012 + 17.7624i) q^{42} +8.62872i q^{43} +(-12.4010 + 7.15973i) q^{44} +(-36.4249 - 26.4240i) q^{45} +(8.31729 - 14.4060i) q^{46} +(44.3039 + 76.7366i) q^{47} +(9.60912 - 7.18783i) q^{48} +(48.9999 + 0.109306i) q^{49} +(-33.0305 + 12.6089i) q^{50} +(-6.69507 - 2.86989i) q^{51} +(12.1973 + 7.04213i) q^{52} +(9.78573 - 16.9494i) q^{53} +(24.3434 - 29.4177i) q^{54} +(6.49110 + 35.2052i) q^{55} +(-19.7990 - 0.0220832i) q^{56} +(57.9507 - 43.3484i) q^{57} +(-10.7488 + 6.20583i) q^{58} +(-72.4908 - 41.8526i) q^{59} +(-8.89330 - 28.6515i) q^{60} +(23.9426 + 41.4698i) q^{61} -28.5847 q^{62} +(-61.2514 + 14.7399i) q^{63} +8.00000 q^{64} +(26.7956 - 22.8426i) q^{65} +(-30.1626 + 3.59523i) q^{66} +(109.484 + 63.2103i) q^{67} +(-2.42808 - 4.20556i) q^{68} +(28.2566 - 21.1366i) q^{69} +(-16.6179 + 46.6245i) q^{70} -125.735i q^{71} +(24.7427 - 5.98340i) q^{72} +(65.0363 + 37.5487i) q^{73} +(68.2651 + 39.4129i) q^{74} +(-74.9391 - 3.02178i) q^{75} +48.2465 q^{76} +(43.3756 + 25.1074i) q^{77} +(17.8960 + 23.9245i) q^{78} +(-4.09666 - 7.09562i) q^{79} +(6.69364 - 18.8466i) q^{80} +(72.0497 - 37.0113i) q^{81} +(64.2090 - 37.0711i) q^{82} -135.272 q^{83} +(-38.5844 - 16.5904i) q^{84} +(-11.9392 + 2.20133i) q^{85} +(-10.5680 + 6.10143i) q^{86} +(-26.1440 + 3.11623i) q^{87} +(-17.5377 - 10.1254i) q^{88} +(-13.4925 + 7.78991i) q^{89} +(6.60642 - 63.2958i) q^{90} +(0.0549820 - 49.2949i) q^{91} +23.5248 q^{92} +(-55.7328 - 23.8902i) q^{93} +(-62.6552 + 108.522i) q^{94} +(40.3680 - 113.660i) q^{95} +(15.5979 + 6.68615i) q^{96} -122.825i q^{97} +(34.5143 + 60.0896i) q^{98} +(-61.8141 - 18.1992i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 64 q - 64 q^{4} + 8 q^{6} - 4 q^{9}+O(q^{10}) \) 64 * q - 64 * q^4 + 8 * q^6 - 4 * q^9	\( 64 q - 64 q^{4} + 8 q^{6} - 4 q^{9} - 8 q^{10} + 4 q^{15} - 128 q^{16} + 8 q^{19} - 88 q^{21} - 8 q^{24} + 12 q^{25} - 8 q^{30} + 152 q^{31} + 16 q^{36} - 208 q^{39} - 16 q^{40} + 106 q^{45} - 56 q^{46} - 64 q^{49} - 140 q^{51} - 56 q^{54} + 616 q^{55} - 4 q^{60} + 104 q^{61} + 512 q^{64} - 160 q^{66} + 456 q^{69} - 144 q^{70} + 298 q^{75} - 32 q^{76} - 360 q^{79} + 304 q^{81} - 80 q^{84} - 408 q^{85} - 688 q^{90} - 288 q^{91} + 240 q^{94} - 16 q^{96} - 568 q^{99}+O(q^{100}) \) 64 * q - 64 * q^4 + 8 * q^6 - 4 * q^9 - 8 * q^10 + 4 * q^15 - 128 * q^16 + 8 * q^19 - 88 * q^21 - 8 * q^24 + 12 * q^25 - 8 * q^30 + 152 * q^31 + 16 * q^36 - 208 * q^39 - 16 * q^40 + 106 * q^45 - 56 * q^46 - 64 * q^49 - 140 * q^51 - 56 * q^54 + 616 * q^55 - 4 * q^60 + 104 * q^61 + 512 * q^64 - 160 * q^66 + 456 * q^69 - 144 * q^70 + 298 * q^75 - 32 * q^76 - 360 * q^79 + 304 * q^81 - 80 * q^84 - 408 * q^85 - 688 * q^90 - 288 * q^91 + 240 * q^94 - 16 * q^96 - 568 * q^99

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