LMFDB - Embedded newform 210.3.p.a.19.6

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [210,3,Mod(19,210)]

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([0, 3, 5]))

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

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

chi := DirichletCharacter("210.19");

S:= CuspForms(chi, 3);

N := Newforms(S);

Level:	$ N $	$=$	$ 210 = 2 \cdot 3 \cdot 5 \cdot 7 $
Weight:	$ k $	$=$	$ 3 $
Character orbit:	$[\chi]$	$=$	210.p (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:	$32$
Relative dimension:	$16$ over $\Q(\zeta_{6})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			19.6
Character	$\chi$	$=$	210.19
Dual form			210.3.p.a.199.6

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.22474 - 0.707107i) q^{2} +(0.866025 + 1.50000i) q^{3} +(1.00000 + 1.73205i) q^{4} +(-2.13749 - 4.52008i) q^{5} -2.44949i q^{6} +(-6.07868 - 3.47127i) q^{7} -2.82843i q^{8} +(-1.50000 + 2.59808i) q^{9} +O(q^{10})$	\(q+(-1.22474 - 0.707107i) q^{2} +(0.866025 + 1.50000i) q^{3} +(1.00000 + 1.73205i) q^{4} +(-2.13749 - 4.52008i) q^{5} -2.44949i q^{6} +(-6.07868 - 3.47127i) q^{7} -2.82843i q^{8} +(-1.50000 + 2.59808i) q^{9} +(-0.578308 + 7.04738i) q^{10} +(10.3487 + 17.9245i) q^{11} +(-1.73205 + 3.00000i) q^{12} -23.2505 q^{13} +(4.99027 + 8.54969i) q^{14} +(4.92901 - 7.12074i) q^{15} +(-2.00000 + 3.46410i) q^{16} +(-3.75163 - 6.49801i) q^{17} +(3.67423 - 2.12132i) q^{18} +(-24.6803 - 14.2492i) q^{19} +(5.69153 - 8.22232i) q^{20} +(-0.0573869 - 12.1242i) q^{21} -29.2706i q^{22} +(-4.24431 - 2.45045i) q^{23} +(4.24264 - 2.44949i) q^{24} +(-15.8623 + 19.3232i) q^{25} +(28.4759 + 16.4406i) q^{26} -5.19615 q^{27} +(-0.0662646 - 13.9998i) q^{28} -36.3865 q^{29} +(-11.0719 + 5.23575i) q^{30} +(1.34596 - 0.777089i) q^{31} +(4.89898 - 2.82843i) q^{32} +(-17.9245 + 31.0462i) q^{33} +10.6112i q^{34} +(-2.69734 + 34.8959i) q^{35} -6.00000 q^{36} +(8.75515 + 5.05479i) q^{37} +(20.1514 + 34.9032i) q^{38} +(-20.1355 - 34.8757i) q^{39} +(-12.7847 + 6.04572i) q^{40} -3.17578i q^{41} +(-8.50283 + 14.8897i) q^{42} -17.2244i q^{43} +(-20.6974 + 35.8490i) q^{44} +(14.9497 + 1.22678i) q^{45} +(3.46546 + 6.00236i) q^{46} +(-5.77236 + 9.99802i) q^{47} -6.92820 q^{48} +(24.9006 + 42.2014i) q^{49} +(33.0909 - 12.4497i) q^{50} +(6.49801 - 11.2549i) q^{51} +(-23.2505 - 40.2710i) q^{52} +(33.1008 - 19.1108i) q^{53} +(6.36396 + 3.67423i) q^{54} +(58.9001 - 85.0905i) q^{55} +(-9.81823 + 17.1931i) q^{56} -49.3605i q^{57} +(44.5642 + 25.7291i) q^{58} +(51.4634 - 29.7124i) q^{59} +(17.2625 + 1.41656i) q^{60} +(-26.3241 - 15.1983i) q^{61} -2.19794 q^{62} +(18.1366 - 10.5860i) q^{63} -8.00000 q^{64} +(49.6975 + 105.094i) q^{65} +(43.9059 - 25.3491i) q^{66} +(-103.010 + 59.4730i) q^{67} +(7.50326 - 12.9960i) q^{68} -8.48862i q^{69} +(27.9787 - 40.8313i) q^{70} +32.6558 q^{71} +(7.34847 + 4.24264i) q^{72} +(25.4098 + 44.0110i) q^{73} +(-7.14855 - 12.3817i) q^{74} +(-42.7220 - 7.05907i) q^{75} -56.9966i q^{76} +(-0.685754 - 144.881i) q^{77} +56.9517i q^{78} +(68.3098 - 118.316i) q^{79} +(19.9330 + 1.63570i) q^{80} +(-4.50000 - 7.79423i) q^{81} +(-2.24561 + 3.88951i) q^{82} +86.0496 q^{83} +(20.9424 - 12.2236i) q^{84} +(-21.3525 + 30.8471i) q^{85} +(-12.1795 + 21.0954i) q^{86} +(-31.5116 - 54.5797i) q^{87} +(50.6982 - 29.2706i) q^{88} +(-17.8925 - 10.3302i) q^{89} +(-17.4422 - 12.0736i) q^{90} +(141.332 + 80.7085i) q^{91} -9.80181i q^{92} +(2.33127 + 1.34596i) q^{93} +(14.1393 - 8.16335i) q^{94} +(-11.6537 + 142.014i) q^{95} +(8.48528 + 4.89898i) q^{96} +17.1538 q^{97} +(-0.655979 - 69.2934i) q^{98} -62.0923 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 32 q + 32 q^{4} + 12 q^{5} - 48 q^{9}+O(q^{10}) $ 32 * q + 32 * q^4 + 12 * q^5 - 48 * q^9	$ 32 q + 32 q^{4} + 12 q^{5} - 48 q^{9} - 24 q^{10} + 48 q^{11} - 16 q^{14} + 24 q^{15} - 64 q^{16} + 48 q^{19} - 24 q^{21} + 72 q^{25} + 96 q^{26} + 176 q^{29} - 24 q^{30} - 48 q^{31} + 68 q^{35} - 192 q^{36} - 72 q^{39} - 48 q^{40} - 96 q^{44} - 36 q^{45} + 32 q^{46} - 272 q^{49} + 192 q^{50} - 24 q^{51} - 64 q^{56} + 744 q^{59} + 24 q^{60} - 672 q^{61} - 256 q^{64} + 172 q^{65} + 320 q^{70} - 144 q^{71} - 416 q^{74} - 144 q^{75} + 128 q^{79} - 48 q^{80} - 144 q^{81} - 96 q^{84} - 736 q^{85} + 304 q^{86} - 48 q^{89} + 976 q^{91} + 528 q^{94} + 236 q^{95} - 288 q^{99}+O(q^{100}) $ 32 * q + 32 * q^4 + 12 * q^5 - 48 * q^9 - 24 * q^10 + 48 * q^11 - 16 * q^14 + 24 * q^15 - 64 * q^16 + 48 * q^19 - 24 * q^21 + 72 * q^25 + 96 * q^26 + 176 * q^29 - 24 * q^30 - 48 * q^31 + 68 * q^35 - 192 * q^36 - 72 * q^39 - 48 * q^40 - 96 * q^44 - 36 * q^45 + 32 * q^46 - 272 * q^49 + 192 * q^50 - 24 * q^51 - 64 * q^56 + 744 * q^59 + 24 * q^60 - 672 * q^61 - 256 * q^64 + 172 * q^65 + 320 * q^70 - 144 * q^71 - 416 * q^74 - 144 * q^75 + 128 * q^79 - 48 * q^80 - 144 * q^81 - 96 * q^84 - 736 * q^85 + 304 * q^86 - 48 * q^89 + 976 * q^91 + 528 * q^94 + 236 * q^95 - 288 * q^99

Display 100 coefficients 10 coefficients

Character values

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

$n$	$31$	$71$	$127$
$\chi(n)$	$e\left(\frac{5}{6}\right)$	$1$	$-1$

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 $

$2$	−1.22474	−	0.707107i	−0.612372	−	0.353553i
$2$	−1.22474	−	0.707107i	−0.612372	−	0.353553i
$3$	0.866025	+	1.50000i	0.288675	+	0.500000i
$3$	0.866025	+	1.50000i	0.288675	+	0.500000i
$4$	1.00000	+	1.73205i	0.250000	+	0.433013i
$5$	−2.13749	−	4.52008i	−0.427497	−	0.904017i
$5$	−2.13749	−	4.52008i	−0.427497	−	0.904017i
$6$		−	2.44949i		−	0.408248i
$7$	−6.07868	−	3.47127i	−0.868382	−	0.495895i
$7$	−6.07868	−	3.47127i	−0.868382	−	0.495895i
$8$		−	2.82843i		−	0.353553i
$9$	−1.50000	+	2.59808i	−0.166667	+	0.288675i
$10$	−0.578308	+	7.04738i	−0.0578308	+	0.704738i
$11$	10.3487	+	17.9245i	0.940793	+	1.62950i	0.763963	+	0.645260i	$0.223251\pi$
$11$	10.3487	+	17.9245i	0.940793	+	1.62950i	0.176830	+	0.984241i	$0.443416\pi$
$12$	−1.73205	+	3.00000i	−0.144338	+	0.250000i
$13$	−23.2505			−1.78850			−0.894248	−	0.447572i	$-0.852289\pi$
$13$	−23.2505			−1.78850			−0.894248	+	0.447572i	$0.852289\pi$
$14$	4.99027	+	8.54969i	0.356448	+	0.610692i
$15$	4.92901	−	7.12074i	0.328601	−	0.474716i
$16$	−2.00000	+	3.46410i	−0.125000	+	0.216506i
$17$	−3.75163	−	6.49801i	−0.220684	−	0.382236i	0.734332	−	0.678791i	$-0.237496\pi$
$17$	−3.75163	−	6.49801i	−0.220684	−	0.382236i	−0.955016	+	0.296555i	$0.904162\pi$
$18$	3.67423	−	2.12132i	0.204124	−	0.117851i
$19$	−24.6803	−	14.2492i	−1.29896	−	0.749956i	−0.318737	−	0.947843i	$-0.603259\pi$
$19$	−24.6803	−	14.2492i	−1.29896	−	0.749956i	−0.980225	+	0.197888i	$0.936592\pi$
$20$	5.69153	−	8.22232i	0.284576	−	0.411116i
$21$	−0.0573869	−	12.1242i	−0.00273271	−	0.577344i
$22$		−	29.2706i		−	1.33048i
$23$	−4.24431	−	2.45045i	−0.184535	−	0.106541i	0.404887	−	0.914367i	$-0.367311\pi$
$23$	−4.24431	−	2.45045i	−0.184535	−	0.106541i	−0.589422	+	0.807826i	$0.700644\pi$
$24$	4.24264	−	2.44949i	0.176777	−	0.102062i
$25$	−15.8623	+	19.3232i	−0.634493	+	0.772929i
$26$	28.4759	+	16.4406i	1.09523	+	0.632329i
$27$	−5.19615			−0.192450
$28$	−0.0662646	−	13.9998i	−0.00236659	−	0.499994i
$29$	−36.3865			−1.25471			−0.627353	−	0.778735i	$-0.715862\pi$
$29$	−36.3865			−1.25471			−0.627353	+	0.778735i	$0.715862\pi$
$30$	−11.0719	+	5.23575i	−0.369063	+	0.174525i
$31$	1.34596	−	0.777089i	0.0434180	−	0.0250674i	−0.478134	−	0.878287i	$-0.658687\pi$
$31$	1.34596	−	0.777089i	0.0434180	−	0.0250674i	0.521552	+	0.853220i	$0.325353\pi$
$32$	4.89898	−	2.82843i	0.153093	−	0.0883883i
$33$	−17.9245	+	31.0462i	−0.543167	+	0.940793i
$34$			10.6112i			0.312095i
$35$	−2.69734	+	34.8959i	−0.0770668	+	0.997026i
$36$	−6.00000			−0.166667
$37$	8.75515	+	5.05479i	0.236626	+	0.136616i	0.613625	−	0.789598i	$-0.289711\pi$
$37$	8.75515	+	5.05479i	0.236626	+	0.136616i	−0.376999	+	0.926214i	$0.623044\pi$
$38$	20.1514	+	34.9032i	0.530299	+	0.918504i
$39$	−20.1355	−	34.8757i	−0.516294	−	0.894248i
$40$	−12.7847	+	6.04572i	−0.319618	+	0.151143i
$41$		−	3.17578i		−	0.0774579i	−0.999250	−	0.0387290i	$-0.987669\pi$
$41$		−	3.17578i		−	0.0774579i	0.999250	−	0.0387290i	$-0.0123309\pi$
$42$	−8.50283	+	14.8897i	−0.202448	+	0.354516i
$43$		−	17.2244i		−	0.400566i	−0.979738	−	0.200283i	$-0.935814\pi$
$43$		−	17.2244i		−	0.400566i	0.979738	−	0.200283i	$-0.0641862\pi$
$44$	−20.6974	+	35.8490i	−0.470397	+	0.814751i
$45$	14.9497	+	1.22678i	0.332217	+	0.0272617i
$46$	3.46546	+	6.00236i	0.0753362	+	0.130486i
$47$	−5.77236	+	9.99802i	−0.122816	+	0.212724i	−0.920877	−	0.389853i	$-0.872526\pi$
$47$	−5.77236	+	9.99802i	−0.122816	+	0.212724i	0.798061	+	0.602577i	$0.205859\pi$
$48$	−6.92820			−0.144338
$49$	24.9006	+	42.2014i	0.508176	+	0.861253i
$50$	33.0909	−	12.4497i	0.661817	−	0.248993i
$51$	6.49801	−	11.2549i	0.127412	−	0.220684i
$52$	−23.2505	−	40.2710i	−0.447124	−	0.774442i
$53$	33.1008	−	19.1108i	0.624544	−	0.360581i	−0.154092	−	0.988057i	$-0.549245\pi$
$53$	33.1008	−	19.1108i	0.624544	−	0.360581i	0.778636	+	0.627476i	$0.215912\pi$
$54$	6.36396	+	3.67423i	0.117851	+	0.0680414i
$55$	58.9001	−	85.0905i	1.07091	−	1.54710i
$56$	−9.81823	+	17.1931i	−0.175325	+	0.307020i
$57$		−	49.3605i		−	0.865974i
$58$	44.5642	+	25.7291i	0.768348	+	0.443606i
$59$	51.4634	−	29.7124i	0.872260	−	0.503600i	0.00416164	−	0.999991i	$-0.498675\pi$
$59$	51.4634	−	29.7124i	0.872260	−	0.503600i	0.868099	+	0.496392i	$0.165342\pi$
$60$	17.2625	+	1.41656i	0.287708	+	0.0236093i
$61$	−26.3241	−	15.1983i	−0.431543	−	0.249152i	0.268461	−	0.963291i	$-0.413485\pi$
$61$	−26.3241	−	15.1983i	−0.431543	−	0.249152i	−0.700004	+	0.714139i	$0.746818\pi$
$62$	−2.19794			−0.0354506
$63$	18.1366	−	10.5860i	0.287883	−	0.168031i
$64$	−8.00000			−0.125000
$65$	49.6975	+	105.094i	0.764577	+	1.61683i
$66$	43.9059	−	25.3491i	0.665241	−	0.384077i
$67$	−103.010	+	59.4730i	−1.53747	+	0.887657i	−0.538481	+	0.842637i	$0.681002\pi$
$67$	−103.010	+	59.4730i	−1.53747	+	0.887657i	−0.998986	+	0.0450199i	$0.985665\pi$
$68$	7.50326	−	12.9960i	0.110342	−	0.191118i
$69$		−	8.48862i		−	0.123023i
$70$	27.9787	−	40.8313i	0.399695	−	0.583304i
$71$	32.6558			0.459941			0.229971	−	0.973198i	$-0.426137\pi$
$71$	32.6558			0.459941			0.229971	+	0.973198i	$0.426137\pi$
$72$	7.34847	+	4.24264i	0.102062	+	0.0589256i
$73$	25.4098	+	44.0110i	0.348079	+	0.602891i	0.985908	−	0.167287i	$-0.0535007\pi$
$73$	25.4098	+	44.0110i	0.348079	+	0.602891i	−0.637829	+	0.770178i	$0.720167\pi$
$74$	−7.14855	−	12.3817i	−0.0966020	−	0.167320i
$75$	−42.7220	−	7.05907i	−0.569627	−	0.0941209i
$76$		−	56.9966i		−	0.749956i
$77$	−0.685754	−	144.881i	−0.00890590	−	1.88156i
$78$			56.9517i			0.730151i
$79$	68.3098	−	118.316i	0.864681	−	1.49767i	−0.00268236	−	0.999996i	$-0.500854\pi$
$79$	68.3098	−	118.316i	0.864681	−	1.49767i	0.867363	−	0.497675i	$-0.165813\pi$
$80$	19.9330	+	1.63570i	0.249162	+	0.0204463i
$81$	−4.50000	−	7.79423i	−0.0555556	−	0.0962250i
$82$	−2.24561	+	3.88951i	−0.0273855	+	0.0474331i
$83$	86.0496			1.03674			0.518371	−	0.855156i	$-0.326539\pi$
$83$	86.0496			1.03674			0.518371	+	0.855156i	$0.326539\pi$
$84$	20.9424	−	12.2236i	0.249314	−	0.145519i
$85$	−21.3525	+	30.8471i	−0.251206	+	0.362907i
$86$	−12.1795	+	21.0954i	−0.141622	+	0.245296i
$87$	−31.5116	−	54.5797i	−0.362203	−	0.627353i
$88$	50.6982	−	29.2706i	0.576116	−	0.332621i
$89$	−17.8925	−	10.3302i	−0.201039	−	0.116070i	0.396101	−	0.918207i	$-0.370363\pi$
$89$	−17.8925	−	10.3302i	−0.201039	−	0.116070i	−0.597140	+	0.802137i	$0.703696\pi$
$90$	−17.4422	−	12.0736i	−0.193802	−	0.134151i
$91$	141.332	+	80.7085i	1.55310	+	0.886907i
$92$		−	9.80181i		−	0.106541i
$93$	2.33127	+	1.34596i	0.0250674	+	0.0144727i
$94$	14.1393	−	8.16335i	0.150418	−	0.0868441i
$95$	−11.6537	+	142.014i	−0.122670	+	1.49489i
$96$	8.48528	+	4.89898i	0.0883883	+	0.0510310i
$97$	17.1538			0.176843			0.0884216	−	0.996083i	$-0.471818\pi$
$97$	17.1538			0.176843			0.0884216	+	0.996083i	$0.471818\pi$
$98$	−0.655979	−	69.2934i	−0.00669366	−	0.707075i
$99$	−62.0923			−0.627195
$100$	−49.3311	−	8.15111i	−0.493311	−	0.0815111i
$101$	60.8183	−	35.1135i	0.602162	−	0.347658i	−0.167730	−	0.985833i	$-0.553644\pi$
$101$	60.8183	−	35.1135i	0.602162	−	0.347658i	0.769891	+	0.638175i	$0.220310\pi$
$102$	−15.9168	+	9.18958i	−0.156047	+	0.0900939i
$103$	−60.6014	+	104.965i	−0.588363	+	1.01907i	0.406084	+	0.913836i	$0.366894\pi$
$103$	−60.6014	+	104.965i	−0.588363	+	1.01907i	−0.994447	+	0.105239i	$0.966439\pi$
$104$			65.7622i			0.632329i
$105$	−54.6798	+	26.1747i	−0.520760	+	0.249283i
$106$	−54.0535			−0.509938
$107$	−13.2968	−	7.67690i	−0.124269	−	0.0717468i	0.436577	−	0.899667i	$-0.356191\pi$
$107$	−13.2968	−	7.67690i	−0.124269	−	0.0717468i	−0.560846	+	0.827920i	$0.689524\pi$
$108$	−5.19615	−	9.00000i	−0.0481125	−	0.0833333i
$109$	−21.1800	−	36.6848i	−0.194312	−	0.336558i	0.752363	−	0.658749i	$-0.228914\pi$
$109$	−21.1800	−	36.6848i	−0.194312	−	0.336558i	−0.946675	+	0.322191i	$0.895581\pi$
$110$	−132.306	+	62.5655i	−1.20278	+	0.568777i
$111$			17.5103i			0.157750i
$112$	24.1822	−	14.1146i	0.215912	−	0.126023i
$113$			78.2932i			0.692860i	0.938076	+	0.346430i	$0.112606\pi$
$113$			78.2932i			0.692860i	−0.938076	+	0.346430i	$0.887394\pi$
$114$	−34.9032	+	60.4541i	−0.306168	+	0.530299i
$115$	−2.00410	+	24.4224i	−0.0174270	+	0.212369i
$116$	−36.3865	−	63.0233i	−0.313677	−	0.543304i
$117$	34.8757	−	60.4064i	0.298083	−	0.516294i
$118$	−84.0393			−0.712198
$119$	0.248600	+	52.5222i	0.00208908	+	0.441363i
$120$	−20.1405	−	13.9413i	−0.167837	−	0.116178i
$121$	−153.692	+	266.203i	−1.27018	+	2.20002i
$122$	21.4936	+	37.2280i	0.176177	+	0.305147i
$123$	4.76366	−	2.75030i	0.0387290	−	0.0223602i
$124$	2.69192	+	1.55418i	0.0217090	+	0.0125337i
$125$	121.248	+	30.3959i	0.969984	+	0.243167i
$126$	−29.6982	+	0.140569i	−0.235700	+	0.00111562i
$127$		−	184.510i		−	1.45283i	−0.687255	−	0.726416i	$-0.741185\pi$
$127$		−	184.510i		−	1.45283i	0.687255	−	0.726416i	$-0.258815\pi$
$128$	9.79796	+	5.65685i	0.0765466	+	0.0441942i
$129$	25.8365	−	14.9167i	0.200283	−	0.115634i
$130$	13.4459	−	163.855i	0.103430	−	1.26042i
$131$	−182.079	−	105.123i	−1.38991	−	0.802467i	−0.396608	−	0.917988i	$-0.629813\pi$
$131$	−182.079	−	105.123i	−1.38991	−	0.802467i	−0.993305	+	0.115521i	$0.963146\pi$
$132$	−71.6981			−0.543167
$133$	100.561	+	172.288i	0.756095	+	1.29540i
$134$	168.215			1.25534
$135$	11.1067	+	23.4870i	0.0822718	+	0.173978i
$136$	−18.3792	+	10.6112i	−0.135141	+	0.0780236i
$137$	−34.7062	+	20.0376i	−0.253330	+	0.146260i	−0.621288	−	0.783582i	$-0.713390\pi$
$137$	−34.7062	+	20.0376i	−0.253330	+	0.146260i	0.367958	+	0.929842i	$0.380057\pi$
$138$	−6.00236	+	10.3964i	−0.0434954	+	0.0753362i
$139$		−	70.4653i		−	0.506945i	−0.967343	−	0.253472i	$-0.918427\pi$
$139$		−	70.4653i		−	0.506945i	0.967343	−	0.253472i	$-0.0815727\pi$
$140$	−63.1388	+	30.2240i	−0.450992	+	0.215886i
$141$	−19.9960			−0.141816
$142$	−39.9951	−	23.0912i	−0.281655	−	0.162614i
$143$	−240.612	−	416.753i	−1.68260	−	2.91436i
$144$	−6.00000	−	10.3923i	−0.0416667	−	0.0721688i
$145$	77.7756	+	164.470i	0.536383	+	1.13428i
$146$		−	71.8697i		−	0.492258i
$147$	−41.7376	+	73.8984i	−0.283929	+	0.502710i
$148$			20.2192i			0.136616i
$149$	−101.439	+	175.697i	−0.680797	+	1.17917i	0.293942	+	0.955823i	$0.405033\pi$
$149$	−101.439	+	175.697i	−0.680797	+	1.17917i	−0.974738	+	0.223351i	$0.928300\pi$
$150$	47.3320	+	38.8546i	0.315547	+	0.259030i
$151$	−36.9666	−	64.0280i	−0.244812	−	0.424026i	0.717267	−	0.696799i	$-0.245393\pi$
$151$	−36.9666	−	64.0280i	−0.244812	−	0.424026i	−0.962079	+	0.272772i	$0.912060\pi$
$152$	−40.3027	+	69.8063i	−0.265149	+	0.459252i
$153$	22.5098			0.147123
$154$	−101.606	+	177.927i	−0.659780	+	1.15537i
$155$	−6.38947	−	4.42283i	−0.0412224	−	0.0285344i
$156$	40.2710	−	69.7514i	0.258147	−	0.447124i
$157$	−96.9538	−	167.929i	−0.617540	−	1.06961i	−0.989933	−	0.141536i	$-0.954796\pi$
$157$	−96.9538	−	167.929i	−0.617540	−	1.06961i	0.372393	−	0.928075i	$-0.378537\pi$
$158$	−167.324	+	96.6047i	−1.05901	+	0.611422i
$159$	57.3323	+	33.1008i	0.360581	+	0.208181i
$160$	−23.2562	−	16.0981i	−0.145351	−	0.100613i
$161$	17.2936	+	29.6286i	0.107414	+	0.184029i
$162$			12.7279i			0.0785674i
$163$	77.9030	+	44.9773i	0.477933	+	0.275935i	0.719555	−	0.694436i	$-0.244346\pi$
$163$	77.9030	+	44.9773i	0.477933	+	0.275935i	−0.241622	+	0.970370i	$0.577679\pi$
$164$	5.50060	−	3.17578i	0.0335403	−	0.0193645i
$165$	178.645	+	14.6596i	1.08269	+	0.0888459i
$166$	−105.389	−	60.8462i	−0.634872	−	0.366543i
$167$	−211.582			−1.26696			−0.633478	−	0.773761i	$-0.718373\pi$
$167$	−211.582			−1.26696			−0.633478	+	0.773761i	$0.718373\pi$
$168$	−34.2925	+	0.162315i	−0.204122	+	0.000966158i
$169$	371.583			2.19872
$170$	47.9636	−	22.6813i	0.282139	−	0.133419i
$171$	74.0408	−	42.7475i	0.432987	−	0.249985i
$172$	29.8335	−	17.2244i	0.173450	−	0.100142i
$173$	33.6405	−	58.2671i	0.194454	−	0.336804i	−0.752268	−	0.658858i	$-0.771040\pi$
$173$	33.6405	−	58.2671i	0.194454	−	0.336804i	0.946721	+	0.322054i	$0.104373\pi$
$174$			89.1283i			0.512232i
$175$	163.498	−	62.3973i	0.934274	−	0.356556i
$176$	−82.7898			−0.470397
$177$	89.1372	+	51.4634i	0.503600	+	0.290753i
$178$	14.6091	+	25.3037i	0.0820737	+	0.142156i
$179$	−91.4749	−	158.439i	−0.511033	−	0.885135i	−0.999918	−	0.0127868i	$-0.995930\pi$
$179$	−91.4749	−	158.439i	−0.511033	−	0.885135i	0.488885	−	0.872348i	$-0.337404\pi$
$180$	12.8249	+	27.1205i	0.0712495	+	0.150669i
$181$			264.809i			1.46303i	0.681825	+	0.731516i	$0.261187\pi$
$181$			264.809i			1.46303i	−0.681825	+	0.731516i	$0.738813\pi$
$182$	−116.026	−	198.784i	−0.637506	−	1.09222i
$183$		−	52.6483i		−	0.287696i
$184$	−6.93093	+	12.0047i	−0.0376681	+	0.0652430i
$185$	4.13406	−	50.3786i	0.0223463	−	0.272317i
$186$	−1.90347	−	3.29691i	−0.0102337	−	0.0177253i
$187$	77.6492	−	134.492i	0.415236	−	0.719210i
$188$	−23.0894			−0.122816
$189$	31.5857	+	18.0372i	0.167120	+	0.0954351i
$190$	114.692	−	165.691i	0.603642	−	0.872057i
$191$	88.3530	−	153.032i	0.462581	−	0.801214i	−0.536508	−	0.843895i	$-0.680257\pi$
$191$	88.3530	−	153.032i	0.462581	−	0.801214i	0.999089	+	0.0426816i	$0.0135901\pi$
$192$	−6.92820	−	12.0000i	−0.0360844	−	0.0625000i
$193$	0.816544	−	0.471432i	0.00423080	−	0.00244265i	−0.497883	−	0.867244i	$-0.665889\pi$
$193$	0.816544	−	0.471432i	0.00423080	−	0.00244265i	0.502114	+	0.864801i	$0.332556\pi$
$194$	−21.0090	−	12.1296i	−0.108294	−	0.0625235i
$195$	−114.602	+	165.560i	−0.587701	+	0.849027i
$196$	−48.1944	+	85.3305i	−0.245890	+	0.435360i
$197$			354.749i			1.80076i	0.435107	+	0.900379i	$0.356711\pi$
$197$			354.749i			1.80076i	−0.435107	+	0.900379i	$0.643289\pi$
$198$	76.0473	+	43.9059i	0.384077	+	0.221747i
$199$	−136.325	+	78.7071i	−0.685048	+	0.395513i	−0.801754	−	0.597654i	$-0.796100\pi$
$199$	−136.325	+	78.7071i	−0.685048	+	0.395513i	0.116706	+	0.993166i	$0.462766\pi$
$200$	54.6543	+	44.8654i	0.273272	+	0.224327i
$201$	−178.419	−	103.010i	−0.887657	−	0.512489i
$202$	−99.3159			−0.491663
$203$	221.182	+	126.307i	1.08957	+	0.622203i
$204$	25.9921			0.127412
$205$	−14.3548	+	6.78817i	−0.0700233	+	0.0331130i
$206$	148.442	−	85.7033i	0.720594	−	0.416035i
$207$	12.7329	−	7.35136i	0.0615117	−	0.0355138i
$208$	46.5009	−	80.5419i	0.223562	−	0.387221i
$209$		−	589.842i		−	2.82221i
$210$	85.4772	+	6.60710i	0.407034	+	0.0314624i
$211$	−185.274			−0.878078			−0.439039	−	0.898468i	$-0.644681\pi$
$211$	−185.274			−0.878078			−0.439039	+	0.898468i	$0.644681\pi$
$212$	66.2017	+	38.2216i	0.312272	+	0.180290i
$213$	28.2808	+	48.9837i	0.132774	+	0.229971i
$214$	10.8568	+	18.8045i	0.0507326	+	0.0878715i
$215$	−77.8555	+	36.8168i	−0.362119	+	0.171241i
$216$			14.6969i			0.0680414i
$217$	−10.8791	+	0.0514935i	−0.0501342	+	0.000237297i
$218$			59.9061i			0.274799i
$219$	−44.0110	+	76.2294i	−0.200964	+	0.348079i
$220$	206.281	+	16.9274i	0.937641	+	0.0769428i
$221$	87.2271	+	151.082i	0.394693	+	0.683628i
$222$	12.3817	−	21.4457i	0.0557732	−	0.0966020i
$223$	−264.866			−1.18774			−0.593869	−	0.804562i	$-0.702400\pi$
$223$	−264.866			−1.18774			−0.593869	+	0.804562i	$0.702400\pi$
$224$	−39.5975	+	0.187425i	−0.176775	+	0.000836717i
$225$	−26.4097	−	70.1963i	−0.117377	−	0.311984i
$226$	55.3616	−	95.8892i	0.244963	−	0.424288i
$227$	102.278	+	177.151i	0.450565	+	0.780401i	0.998421	−	0.0561716i	$-0.0178894\pi$
$227$	102.278	+	177.151i	0.450565	+	0.780401i	−0.547857	+	0.836572i	$0.684556\pi$
$228$	85.4949	−	49.3605i	0.374978	−	0.216494i
$229$	−271.278	−	156.622i	−1.18462	−	0.683941i	−0.227541	−	0.973768i	$-0.573069\pi$
$229$	−271.278	−	156.622i	−1.18462	−	0.683941i	−0.957079	+	0.289828i	$0.906402\pi$
$230$	19.7238	−	28.4941i	0.0857556	−	0.123888i
$231$	216.727	−	126.499i	0.938212	−	0.547614i
$232$			102.917i			0.443606i
$233$	−70.9207	−	40.9461i	−0.304381	−	0.175734i	0.340029	−	0.940415i	$-0.389563\pi$
$233$	−70.9207	−	40.9461i	−0.304381	−	0.175734i	−0.644409	+	0.764681i	$0.722897\pi$
$234$	−85.4276	+	49.3217i	−0.365075	+	0.210776i
$235$	57.5302	+	4.72093i	0.244809	+	0.0200890i
$236$	102.927	+	59.4248i	0.436130	+	0.251800i
$237$	236.632			0.998448
$238$	36.8344	−	64.5021i	0.154766	−	0.271017i
$239$	301.077			1.25974			0.629868	−	0.776702i	$-0.283109\pi$
$239$	301.077			1.25974			0.629868	+	0.776702i	$0.283109\pi$
$240$	14.8089	+	31.3161i	0.0617039	+	0.130484i
$241$	−211.490	+	122.104i	−0.877552	+	0.506655i	−0.869851	−	0.493315i	$-0.835785\pi$
$241$	−211.490	+	122.104i	−0.877552	+	0.506655i	−0.00770165	+	0.999970i	$0.502452\pi$
$242$	376.467	−	217.354i	1.55565	−	0.898155i
$243$	7.79423	−	13.5000i	0.0320750	−	0.0555556i
$244$		−	60.7930i		−	0.249152i
$245$	137.529	−	202.758i	0.561344	−	0.827583i
$246$	−7.77903			−0.0316221
$247$	573.827	+	331.299i	2.32319	+	1.34129i
$248$	−2.19794	−	3.80694i	−0.00886266	−	0.0153506i
$249$	74.5211	+	129.074i	0.299282	+	0.518371i
$250$	−127.005	−	122.963i	−0.508019	−	0.491850i
$251$		−	329.047i		−	1.31095i	−0.755219	−	0.655473i	$-0.772469\pi$
$251$		−	329.047i		−	1.31095i	0.755219	−	0.655473i	$-0.227531\pi$
$252$	36.4721	+	20.8276i	0.144730	+	0.0826492i
$253$		−	101.436i		−	0.400934i
$254$	−130.468	+	225.977i	−0.513654	+	0.889675i
$255$	−64.7625	−	5.31441i	−0.253970	−	0.0208408i
$256$	−8.00000	−	13.8564i	−0.0312500	−	0.0541266i
$257$	−3.13388	+	5.42805i	−0.0121941	+	0.0211208i	−0.872058	−	0.489402i	$-0.837215\pi$
$257$	−3.13388	+	5.42805i	−0.0121941	+	0.0211208i	0.859864	+	0.510523i	$0.170548\pi$
$258$	−42.1909			−0.163531
$259$	−35.6732	−	61.1179i	−0.137734	−	0.235976i
$260$	−132.331	+	191.173i	−0.508964	+	0.735279i
$261$	54.5797	−	94.5349i	0.209118	−	0.362203i
$262$	148.667	+	257.498i	0.567430	+	0.982817i
$263$	−26.1421	+	15.0931i	−0.0993996	+	0.0573884i	−0.548876	−	0.835904i	$-0.684944\pi$
$263$	−26.1421	+	15.0931i	−0.0993996	+	0.0573884i	0.449476	+	0.893292i	$0.351611\pi$
$264$	87.8118	+	50.6982i	0.332621	+	0.192039i
$265$	−157.135	−	108.770i	−0.592962	−	0.410451i
$266$	−1.33532	−	282.116i	−0.00502001	−	1.06059i
$267$		−	35.7849i		−	0.134026i
$268$	−206.021	−	118.946i	−0.768734	−	0.443829i
$269$	−408.544	+	235.873i	−1.51875	+	0.876852i	−0.518996	+	0.854777i	$0.673694\pi$
$269$	−408.544	+	235.873i	−1.51875	+	0.876852i	−0.999756	+	0.0220755i	$0.992973\pi$
$270$	3.00498	−	36.6193i	0.0111295	−	0.135627i
$271$	263.529	+	152.149i	0.972433	+	0.561435i	0.899977	−	0.435937i	$-0.143583\pi$
$271$	263.529	+	152.149i	0.972433	+	0.561435i	0.0724560	+	0.997372i	$0.476916\pi$
$272$	30.0130			0.110342
$273$	1.33427	+	281.894i	0.00488744	+	1.03258i
$274$	56.6750			0.206843
$275$	−510.514	−	84.3536i	−1.85641	−	0.306740i
$276$	14.7027	−	8.48862i	0.0532707	−	0.0307559i
$277$	−325.057	+	187.672i	−1.17349	+	0.677515i	−0.954500	−	0.298211i	$-0.903610\pi$
$277$	−325.057	+	187.672i	−1.17349	+	0.677515i	−0.218991	+	0.975727i	$0.570277\pi$
$278$	−49.8265	+	86.3020i	−0.179232	+	0.310439i
$279$			4.66253i			0.0167116i
$280$	98.7005	+	7.62923i	0.352502	+	0.0272472i
$281$	−34.0264			−0.121090			−0.0605452	−	0.998165i	$-0.519284\pi$
$281$	−34.0264			−0.121090			−0.0605452	+	0.998165i	$0.519284\pi$
$282$	24.4900	+	14.1393i	0.0868441	+	0.0501395i
$283$	113.865	+	197.221i	0.402351	+	0.696893i	0.994009	−	0.109296i	$-0.0348598\pi$
$283$	113.865	+	197.221i	0.402351	+	0.696893i	−0.591658	+	0.806189i	$0.701526\pi$
$284$	32.6558	+	56.5616i	0.114985	+	0.199160i
$285$	−223.114	+	105.507i	−0.782855	+	0.370201i
$286$			680.555i			2.37956i
$287$	−11.0240	+	19.3045i	−0.0384110	+	0.0672631i
$288$			16.9706i			0.0589256i
$289$	116.351	−	201.525i	0.402597	−	0.697318i
$290$	21.0426	−	256.429i	0.0725607	−	0.884239i
$291$	14.8556	+	25.7307i	0.0510503	+	0.0884216i
$292$	−50.8196	+	88.0221i	−0.174040	+	0.301445i
$293$	105.852			0.361270			0.180635	−	0.983550i	$-0.442185\pi$
$293$	105.852			0.361270			0.180635	+	0.983550i	$0.442185\pi$
$294$	103.372	−	60.9938i	0.351605	−	0.207462i
$295$	−244.305	−	169.109i	−0.828151	−	0.573251i
$296$	14.2971	−	24.7633i	0.0483010	−	0.0836598i
$297$	−53.7735	−	93.1385i	−0.181056	−	0.313598i
$298$	248.473	−	143.456i	0.833802	−	0.481396i
$299$	98.6821	+	56.9741i	0.330040	+	0.190549i
$300$	−30.4953	−	81.0557i	−0.101651	−	0.270186i
$301$	−59.7904	+	104.701i	−0.198639	+	0.347845i
$302$			104.557i			0.346216i
$303$	105.340	+	60.8183i	0.347658	+	0.200721i
$304$	98.7211	−	56.9966i	0.324740	−	0.187489i
$305$	−12.4299	+	151.473i	−0.0407538	+	0.496634i
$306$	−27.5687	−	15.9168i	−0.0900939	−	0.0520158i
$307$	100.062			0.325936			0.162968	−	0.986631i	$-0.447893\pi$
$307$	100.062			0.325936			0.162968	+	0.986631i	$0.447893\pi$
$308$	250.255	−	146.068i	0.812515	−	0.474248i
$309$	−209.929			−0.679383
$310$	4.69806	+	9.93487i	0.0151550	+	0.0320480i
$311$	173.117	−	99.9490i	0.556645	−	0.321379i	−0.195153	−	0.980773i	$-0.562520\pi$
$311$	173.117	−	99.9490i	0.556645	−	0.321379i	0.751798	+	0.659394i	$0.229187\pi$
$312$	−98.6433	+	56.9517i	−0.316164	+	0.182538i
$313$	248.308	−	430.082i	0.793315	−	1.37406i	−0.130588	−	0.991437i	$-0.541687\pi$
$313$	248.308	−	430.082i	0.793315	−	1.37406i	0.923903	−	0.382626i	$-0.124980\pi$
$314$			274.227i			0.873334i
$315$	−86.6162	−	59.3518i	−0.274972	−	0.188418i
$316$	273.239			0.864681
$317$	−270.733	−	156.308i	−0.854049	−	0.493085i	0.00796603	−	0.999968i	$-0.497464\pi$
$317$	−270.733	−	156.308i	−0.854049	−	0.493085i	−0.862015	+	0.506883i	$0.830798\pi$
$318$	−46.8117	−	81.0802i	−0.147206	−	0.254969i
$319$	−376.554	−	652.210i	−1.18042	−	2.04455i
$320$	17.0999	+	36.1607i	0.0534371	+	0.113002i
$321$		−	26.5936i		−	0.0828460i
$322$	−0.229638	−	48.5159i	−0.000713160	−	0.150671i
$323$			213.830i			0.662013i
$324$	9.00000	−	15.5885i	0.0277778	−	0.0481125i
$325$	368.806	−	449.274i	1.13479	−	1.38238i
$326$	−63.6076	−	110.172i	−0.195115	−	0.337949i
$327$	36.6848	−	63.5400i	0.112186	−	0.194312i
$328$	−8.98245			−0.0273855
$329$	69.7941	−	40.7373i	0.212140	−	0.123822i
$330$	−208.428	−	144.275i	−0.631601	−	0.437197i
$331$	13.7121	−	23.7500i	0.0414262	−	0.0717522i	−0.844569	−	0.535447i	$-0.820143\pi$
$331$	13.7121	−	23.7500i	0.0414262	−	0.0717522i	0.885995	+	0.463695i	$0.153477\pi$
$332$	86.0496	+	149.042i	0.259185	+	0.448922i
$333$	−26.2655	+	15.1644i	−0.0788752	+	0.0455386i
$334$	259.134	+	149.611i	0.775849	+	0.447937i
$335$	489.006	+	338.493i	1.45972	+	1.01043i
$336$	42.1143	+	24.0496i	0.125340	+	0.0715763i
$337$			187.939i			0.557684i	0.960337	+	0.278842i	$0.0899506\pi$
$337$			187.939i			0.557684i	−0.960337	+	0.278842i	$0.910049\pi$
$338$	−455.095	−	262.749i	−1.34643	−	0.777365i
$339$	−117.440	+	67.8039i	−0.346430	+	0.200011i
$340$	−74.7812	−	6.13655i	−0.219945	−	0.0180487i
$341$	27.8579	+	16.0838i	0.0816947	+	0.0471664i
$342$	−120.908			−0.353532
$343$	−4.87031	−	342.965i	−0.0141991	−	0.999899i
$344$	−48.7178			−0.141622
$345$	−38.3693	+	18.1443i	−0.111215	+	0.0525922i
$346$	−82.4021	+	47.5749i	−0.238156	+	0.137500i
$347$	−547.031	+	315.829i	−1.57646	+	0.910169i	−0.581110	+	0.813825i	$0.697381\pi$
$347$	−547.031	+	315.829i	−1.57646	+	0.910169i	−0.995348	+	0.0963437i	$0.969285\pi$
$348$	63.0233	−	109.159i	0.181101	−	0.313677i
$349$			48.6979i			0.139536i	0.997563	+	0.0697678i	$0.0222258\pi$
$349$			48.6979i			0.139536i	−0.997563	+	0.0697678i	$0.977774\pi$
$350$	−244.365	−	39.1897i	−0.698185	−	0.111971i
$351$	120.813			0.344196
$352$	101.396	+	58.5412i	0.288058	+	0.166310i
$353$	−16.9916	−	29.4303i	−0.0481349	−	0.0833720i	0.840954	−	0.541106i	$-0.181994\pi$
$353$	−16.9916	−	29.4303i	−0.0481349	−	0.0833720i	−0.889089	+	0.457734i	$0.848661\pi$
$354$	−72.7802	−	126.059i	−0.205594	−	0.356099i
$355$	−69.8014	−	147.607i	−0.196624	−	0.415795i
$356$		−	41.3208i		−	0.116070i
$357$	−78.5681	+	45.8585i	−0.220079	+	0.128455i
$358$			258.730i			0.722710i
$359$	159.521	−	276.298i	0.444348	−	0.769633i	−0.553659	−	0.832744i	$-0.686769\pi$
$359$	159.521	−	276.298i	0.444348	−	0.769633i	0.998007	+	0.0631110i	$0.0201022\pi$
$360$	3.46985	−	42.2843i	0.00963846	−	0.117456i
$361$	225.577	+	390.711i	0.624867	+	1.08230i
$362$	187.248	−	324.323i	0.517260	−	0.895920i
$363$	−532.405			−1.46668
$364$	1.54068	+	325.503i	0.00423264	+	0.894238i
$365$	144.621	−	208.927i	0.396221	−	0.572404i
$366$	−37.2280	+	64.4807i	−0.101716	+	0.176177i
$367$	91.0928	+	157.777i	0.248209	+	0.429911i	0.963029	−	0.269398i	$-0.0868246\pi$
$367$	91.0928	+	157.777i	0.248209	+	0.429911i	−0.714820	+	0.699309i	$0.753491\pi$
$368$	16.9772	−	9.80181i	0.0461338	−	0.0266354i
$369$	8.25091	+	4.76366i	0.0223602	+	0.0129097i
$370$	−40.6862	+	58.7777i	−0.109963	+	0.158859i
$371$	−267.548	+	1.26637i	−0.721153	+	0.00341339i
$372$			5.38383i			0.0144727i
$373$	−384.623	−	222.062i	−1.03116	−	0.595341i	−0.113843	−	0.993499i	$-0.536316\pi$
$373$	−384.623	−	222.062i	−1.03116	−	0.595341i	−0.917317	+	0.398158i	$0.869650\pi$
$374$	−190.201	+	109.813i	−0.508558	+	0.293616i
$375$	59.4101	+	208.196i	0.158427	+	0.555188i
$376$	28.2787	+	16.3267i	0.0752092	+	0.0434221i
$377$	846.002			2.24404
$378$	−25.9302	−	44.4255i	−0.0685984	−	0.117528i
$379$	−80.5942			−0.212650			−0.106325	−	0.994331i	$-0.533908\pi$
$379$	−80.5942			−0.212650			−0.106325	+	0.994331i	$0.533908\pi$
$380$	−257.630	+	121.829i	−0.677972	+	0.320604i
$381$	276.765	−	159.790i	0.726416	−	0.419397i
$382$	−216.420	+	124.950i	−0.566544	+	0.327094i
$383$	−64.1124	+	111.046i	−0.167395	+	0.289937i	−0.937503	−	0.347976i	$-0.886869\pi$
$383$	−64.1124	+	111.046i	−0.167395	+	0.289937i	0.770108	+	0.637913i	$0.220202\pi$
$384$			19.5959i			0.0510310i
$385$	−653.406	+	312.780i	−1.69716	+	0.812415i
$386$	−1.33341			−0.00345443
$387$	44.7502	+	25.8365i	0.115634	+	0.0667611i
$388$	17.1538	+	29.7113i	0.0442108	+	0.0765754i
$389$	186.946	+	323.800i	0.480581	+	0.832391i	0.999752	−	0.0222796i	$-0.00709241\pi$
$389$	186.946	+	323.800i	0.480581	+	0.832391i	−0.519171	+	0.854671i	$0.673759\pi$
$390$	257.427	−	121.734i	0.660068	−	0.312137i
$391$			36.7728i			0.0940480i
$392$	119.364	−	70.4295i	0.304499	−	0.179667i
$393$		−	364.157i		−	0.926609i
$394$	250.846	−	434.477i	0.636664	−	1.10273i
$395$	−680.810	−	55.8672i	−1.72357	−	0.141436i
$396$	−62.0923	−	107.547i	−0.156799	−	0.271584i
$397$	186.556	−	323.125i	0.469915	−	0.813917i	−0.529493	−	0.848314i	$-0.677618\pi$
$397$	186.556	−	323.125i	0.469915	−	0.813917i	0.999408	+	0.0343970i	$0.0109511\pi$
$398$	222.617			0.559340
$399$	−171.344	+	300.047i	−0.429433	+	0.751997i
$400$	−35.2130	−	93.5951i	−0.0880325	−	0.233988i
$401$	−219.962	+	380.986i	−0.548534	+	0.950089i	0.449841	+	0.893108i	$0.351480\pi$
$401$	−219.962	+	380.986i	−0.548534	+	0.950089i	−0.998375	+	0.0569801i	$0.981853\pi$
$402$	145.679	+	252.323i	0.362385	+	0.627668i
$403$	−31.2941	+	18.0677i	−0.0776529	+	0.0448329i
$404$	121.637	+	70.2269i	0.301081	+	0.173829i
$405$	−25.6119	+	37.0004i	−0.0632392	+	0.0913591i
$406$	−181.578	−	311.093i	−0.447238	−	0.766239i
$407$			209.242i			0.514109i
$408$	−31.8336	−	18.3792i	−0.0780236	−	0.0450470i
$409$	−437.910	+	252.827i	−1.07068	+	0.618160i	−0.928368	−	0.371661i	$-0.878788\pi$
$409$	−437.910	+	252.827i	−1.07068	+	0.618160i	−0.142316	+	0.989821i	$0.545455\pi$
$410$	22.3809	+	1.83658i	0.0545875	+	0.00447945i
$411$	−60.1129	−	34.7062i	−0.146260	−	0.0844433i
$412$	−242.406			−0.588363
$413$	−415.969	+	1.96888i	−1.00719	+	0.00476726i
$414$	−20.7928			−0.0502241
$415$	−183.930	−	388.951i	−0.443204	−	0.937232i
$416$	−113.903	+	65.7622i	−0.273806	+	0.158082i
$417$	105.698	−	61.0248i	0.253472	−	0.146342i
$418$	−417.082	+	722.406i	−0.997803	+	1.72824i
$419$			539.599i			1.28782i	0.765099	+	0.643912i	$0.222690\pi$
$419$			539.599i			1.28782i	−0.765099	+	0.643912i	$0.777310\pi$
$420$	−100.016	−	68.5335i	−0.238133	−	0.163175i
$421$	−529.515			−1.25776			−0.628878	−	0.777504i	$-0.716485\pi$
$421$	−529.515			−1.25776			−0.628878	+	0.777504i	$0.716485\pi$
$422$	226.914	+	131.009i	0.537711	+	0.310447i
$423$	−17.3171	−	29.9941i	−0.0409387	−	0.0709079i
$424$	−54.0535	−	93.6233i	−0.127485	−	0.220810i
$425$	185.072	+	30.5799i	0.435464	+	0.0719528i
$426$		−	79.9901i		−	0.187770i
$427$	107.259	+	183.763i	0.251191	+	0.430359i
$428$		−	30.7076i		−	0.0717468i
$429$	416.753	−	721.837i	0.971452	−	1.68260i
$430$	121.387	+	9.96098i	0.282294	+	0.0231651i
$431$	367.746	+	636.954i	0.853238	+	1.47785i	0.878270	+	0.478165i	$0.158698\pi$
$431$	367.746	+	636.954i	0.853238	+	1.47785i	−0.0250318	+	0.999687i	$0.507969\pi$
$432$	10.3923	−	18.0000i	0.0240563	−	0.0416667i
$433$	−311.183			−0.718668			−0.359334	−	0.933209i	$-0.616996\pi$
$433$	−311.183			−0.718668			−0.359334	+	0.933209i	$0.616996\pi$
$434$	13.3606	+	7.62964i	0.0307847	+	0.0175798i
$435$	−179.349	+	259.099i	−0.412297	+	0.595629i
$436$	42.3600	−	73.3697i	0.0971559	−	0.168279i
$437$	69.8338	+	120.956i	0.159803	+	0.276786i
$438$	107.805	−	62.2410i	0.246129	−	0.142103i
$439$	665.430	+	384.186i	1.51579	+	0.875140i	0.999828	+	0.0185263i	$0.00589745\pi$
$439$	665.430	+	384.186i	1.51579	+	0.875140i	0.515958	+	0.856614i	$0.327436\pi$
$440$	−240.672	−	166.595i	−0.546982	−	0.378624i
$441$	−146.993	+	1.39154i	−0.333318	+	0.00315542i
$442$		−	246.715i		−	0.558180i
$443$	161.891	+	93.4680i	0.365443	+	0.210989i	0.671466	−	0.741036i	$-0.265665\pi$
$443$	161.891	+	93.4680i	0.365443	+	0.210989i	−0.306023	+	0.952024i	$0.598998\pi$
$444$	−30.3287	+	17.5103i	−0.0683080	+	0.0394376i
$445$	−8.44857	+	102.956i	−0.0189856	+	0.231362i
$446$	324.393	+	187.288i	0.727338	+	0.419929i
$447$	−351.394			−0.786116
$448$	48.6294	+	27.7701i	0.108548	+	0.0619869i
$449$	377.317			0.840350			0.420175	−	0.907443i	$-0.361969\pi$
$449$	377.317			0.840350			0.420175	+	0.907443i	$0.361969\pi$
$450$	−17.2911	+	104.647i	−0.0384247	+	0.232549i
$451$	56.9242	−	32.8652i	0.126218	−	0.0728719i
$452$	−135.608	+	78.2932i	−0.300017	+	0.173215i
$453$	64.0280	−	110.900i	0.141342	−	0.244812i
$454$		−	289.286i		−	0.637195i
$455$	62.7143	−	811.346i	0.137834	−	1.78318i
$456$	−139.613			−0.306168
$457$	226.519	+	130.781i	0.495666	+	0.286173i	0.726922	−	0.686720i	$-0.240950\pi$
$457$	226.519	+	130.781i	0.495666	+	0.286173i	−0.231256	+	0.972893i	$0.574284\pi$
$458$	221.498	+	383.645i	0.483619	+	0.837653i
$459$	19.4940	+	33.7647i	0.0424707	+	0.0735614i
$460$	−44.3050	+	20.9512i	−0.0963152	+	0.0455461i
$461$		−	414.184i		−	0.898448i	−0.893419	−	0.449224i	$-0.851701\pi$
$461$		−	414.184i		−	0.898448i	0.893419	−	0.449224i	$-0.148299\pi$
$462$	−354.883	+	1.67975i	−0.768146	+	0.00363582i
$463$		−	240.868i		−	0.520234i	−0.965577	−	0.260117i	$-0.916239\pi$
$463$		−	240.868i		−	0.520234i	0.965577	−	0.260117i	$-0.0837611\pi$
$464$	72.7730	−	126.047i	0.156838	−	0.271652i
$465$	1.10079	−	13.4145i	0.00236730	−	0.0288484i
$466$	57.9065	+	100.297i	0.124263	+	0.215230i
$467$	−89.6394	+	155.260i	−0.191947	+	0.332463i	−0.945896	−	0.324471i	$-0.894814\pi$
$467$	−89.6394	+	155.260i	−0.191947	+	0.332463i	0.753948	+	0.656934i	$0.228147\pi$
$468$	139.503			0.298083
$469$	832.613	−	3.94096i	1.77529	−	0.00840290i
$470$	−67.1216	−	46.4619i	−0.142812	−	0.0988552i
$471$	167.929	−	290.861i	0.356537	−	0.617540i
$472$	−84.0393	−	145.560i	−0.178049	−	0.308391i
$473$	308.738	−	178.250i	0.652724	−	0.376850i
$474$	−289.814	−	167.324i	−0.611422	−	0.353005i
$475$	666.826	−	250.878i	1.40384	−	0.528164i
$476$	−90.7226	+	52.9528i	−0.190594	+	0.111245i
$477$			114.665i			0.240387i
$478$	−368.742	−	212.894i	−0.771428	−	0.445384i
$479$	−553.717	+	319.688i	−1.15598	+	0.667408i	−0.950338	−	0.311218i	$-0.899263\pi$
$479$	−553.717	+	319.688i	−1.15598	+	0.667408i	−0.205646	+	0.978626i	$0.565930\pi$
$480$	4.00663	−	48.8257i	0.00834715	−	0.101720i
$481$	−203.561	−	117.526i	−0.423204	−	0.244337i
$482$	345.362			0.716518
$483$	−29.4663	+	51.5996i	−0.0610067	+	0.106831i
$484$	−614.769			−1.27018
$485$	−36.6660	−	77.5366i	−0.0756000	−	0.159869i
$486$	−19.0919	+	11.0227i	−0.0392837	+	0.0226805i
$487$	590.941	−	341.180i	1.21343	−	0.700574i	0.249926	−	0.968265i	$-0.419594\pi$
$487$	590.941	−	341.180i	1.21343	−	0.700574i	0.963505	+	0.267691i	$0.0862605\pi$
$488$	−42.9871	+	74.4559i	−0.0880884	+	0.152574i
$489$			155.806i			0.318622i
$490$	−311.810	+	151.079i	−0.636346	+	0.308324i
$491$	171.724			0.349743			0.174871	−	0.984591i	$-0.444049\pi$
$491$	171.724			0.349743			0.174871	+	0.984591i	$0.444049\pi$
$492$	9.52733	+	5.50060i	0.0193645	+	0.0111801i
$493$	136.509	+	236.440i	0.276894	+	0.479594i
$494$	−468.528	−	811.514i	−0.948437	−	1.64274i
$495$	132.721	+	280.663i	0.268124	+	0.566995i
$496$			6.21671i			0.0125337i
$497$	−198.504	−	113.357i	−0.399405	−	0.228083i
$498$		−	210.777i		−	0.423248i
$499$	75.5509	−	130.858i	0.151405	−	0.262240i	−0.780339	−	0.625356i	$-0.784954\pi$
$499$	75.5509	−	130.858i	0.151405	−	0.262240i	0.931744	+	0.363116i	$0.118287\pi$
$500$	68.6009	+	240.404i	0.137202	+	0.480807i
$501$	−183.235	−	317.373i	−0.365739	−	0.633478i
$502$	−232.672	+	402.999i	−0.463489	+	0.802787i
$503$	549.545			1.09254			0.546268	−	0.837611i	$-0.316048\pi$
$503$	549.545			1.09254			0.546268	+	0.837611i	$0.316048\pi$
$504$	−29.9416	−	51.2981i	−0.0594080	−	0.101782i
$505$	−288.714	−	199.849i	−0.571711	−	0.395741i
$506$	−71.7262	+	124.233i	−0.141751	+	0.245521i
$507$	321.801	+	557.375i	0.634715	+	1.09936i
$508$	319.580	−	184.510i	0.629095	−	0.363208i
$509$	36.4157	+	21.0246i	0.0715437	+	0.0413057i	0.535345	−	0.844633i	$-0.320182\pi$
$509$	36.4157	+	21.0246i	0.0715437	+	0.0413057i	−0.463801	+	0.885939i	$0.653515\pi$
$510$	75.5596	+	52.3028i	0.148156	+	0.102554i
$511$	−1.68377	−	355.733i	−0.00329505	−	0.696151i
$512$			22.6274i			0.0441942i
$513$	128.242	+	74.0408i	0.249985	+	0.144329i
$514$	7.67642	−	4.43198i	0.0149347	−	0.00862253i
$515$	603.984	+	49.5629i	1.17278	+	0.0962386i
$516$	51.6731	+	29.8335i	0.100142	+	0.0578168i
$517$	−238.946			−0.462178
$518$	0.473696	+	100.079i	0.000914471	+	0.193202i
$519$	116.534			0.224536
$520$	297.251	−	140.566i	0.571636	−	0.270319i
$521$	432.990	−	249.987i	0.831074	−	0.479821i	−0.0231460	−	0.999732i	$-0.507368\pi$
$521$	432.990	−	249.987i	0.831074	−	0.479821i	0.854220	+	0.519911i	$0.174035\pi$
$522$	−133.693	+	77.1874i	−0.256116	+	0.147869i
$523$	213.973	−	370.612i	0.409126	−	0.708627i	−0.585666	−	0.810552i	$-0.699167\pi$
$523$	213.973	−	370.612i	0.409126	−	0.708627i	0.994792	+	0.101926i	$0.0325004\pi$
$524$		−	420.493i		−	0.802467i
$525$	235.189	+	191.209i	0.447980	+	0.364208i
$526$	42.6899			0.0811594
$527$	−10.0991	−	5.83070i	−0.0191633	−	0.0110640i
$528$	−71.6981	−	124.185i	−0.135792	−	0.235198i
$529$	−252.491	−	437.326i	−0.477298	−	0.826704i
$530$	115.538	+	244.326i	0.217997	+	0.460993i
$531$			178.274i			0.335733i
$532$	−197.851	+	346.464i	−0.371900	+	0.651248i
$533$			73.8382i			0.138533i
$534$	−25.3037	+	43.8274i	−0.0473853	+	0.0820737i
$535$	−6.27856	+	76.5119i	−0.0117356	+	0.143013i
$536$	168.215	+	291.357i	0.313834	+	0.543577i
$537$	158.439	−	274.425i	0.295045	−	0.511033i
$538$	667.150			1.24006
$539$	−498.750	+	883.062i	−0.925326	+	1.63833i
$540$	−29.5741	+	42.7244i	−0.0547668	+	0.0791193i
$541$	−257.641	+	446.247i	−0.476231	+	0.824856i	−0.999629	−	0.0272324i	$-0.991331\pi$
$541$	−257.641	+	446.247i	−0.476231	+	0.824856i	0.523399	+	0.852088i	$0.324664\pi$
$542$	−215.171	−	372.687i	−0.396994	−	0.687614i
$543$	−397.213	+	229.331i	−0.731516	+	0.422341i
$544$	−36.7583	−	21.2224i	−0.0675704	−	0.0390118i
$545$	−120.547	+	174.149i	−0.221186	+	0.319539i
$546$	197.695	−	346.191i	0.362078	−	0.634050i
$547$		−	397.938i		−	0.727492i	−0.931498	−	0.363746i	$-0.881498\pi$
$547$		−	397.938i		−	0.727492i	0.931498	−	0.363746i	$-0.118502\pi$
$548$	−69.4124	−	40.0752i	−0.126665	−	0.0731300i
$549$	78.9724	−	45.5948i	0.143848	−	0.0830505i
$550$	565.603	+	464.300i	1.02837	+	0.844181i
$551$	898.028	+	518.477i	1.62982	+	0.940974i
$552$	−24.0094			−0.0434954
$553$	−825.940	+	482.083i	−1.49356	+	0.871760i
$554$	530.816			0.958152
$555$	79.1480	−	37.4280i	0.142609	−	0.0674379i
$556$	122.050	−	70.4653i	0.219514	−	0.126736i
$557$	−159.073	+	91.8407i	−0.285588	+	0.164885i	−0.635951	−	0.771730i	$-0.719392\pi$
$557$	−159.073	+	91.8407i	−0.285588	+	0.164885i	0.350362	+	0.936614i	$0.386058\pi$
$558$	3.29691	−	5.71041i	0.00590844	−	0.0102337i
$559$			400.474i			0.716412i
$560$	−115.488	−	79.1357i	−0.206229	−	0.141314i
$561$	268.985			0.479473
$562$	41.6736	+	24.0603i	0.0741524	+	0.0428119i
$563$	187.451	+	324.675i	0.332950	+	0.576687i	0.983089	−	0.183129i	$-0.0586226\pi$
$563$	187.451	+	324.675i	0.332950	+	0.576687i	−0.650139	+	0.759816i	$0.725289\pi$
$564$	−19.9960	−	34.6341i	−0.0354540	−	0.0614081i
$565$	353.892	−	167.350i	0.626357	−	0.296196i
$566$		−	322.060i		−	0.569010i
$567$	0.298191	+	62.9993i	0.000525910	+	0.111110i
$568$		−	92.3646i		−	0.162614i
$569$	404.043	−	699.823i	0.710093	−	1.22992i	−0.254729	−	0.967013i	$-0.581986\pi$
$569$	404.043	−	699.823i	0.710093	−	1.22992i	0.964822	−	0.262905i	$-0.0846805\pi$
$570$	347.862	+	28.5456i	0.610285	+	0.0500800i
$571$	−98.6756	−	170.911i	−0.172812	−	0.299319i	0.766590	−	0.642137i	$-0.221952\pi$
$571$	−98.6756	−	170.911i	−0.172812	−	0.299319i	−0.939402	+	0.342818i	$0.888619\pi$
$572$	481.225	−	833.506i	0.841302	−	1.45718i
$573$	306.064			0.534143
$574$	27.1519	−	15.8480i	0.0473029	−	0.0276097i
$575$	114.675	−	43.1439i	0.199435	−	0.0750328i
$576$	12.0000	−	20.7846i	0.0208333	−	0.0360844i
$577$	−139.433	−	241.504i	−0.241651	−	0.418552i	0.719534	−	0.694457i	$-0.244356\pi$
$577$	−139.433	−	241.504i	−0.241651	−	0.418552i	−0.961185	+	0.275906i	$0.911022\pi$
$578$	−284.999	+	164.545i	−0.493079	+	0.284679i
$579$	1.41430	+	0.816544i	0.00244265	+	0.00141027i
$580$	−207.095	+	299.181i	−0.357060	+	0.515830i
$581$	−523.067	−	298.701i	−0.900288	−	0.514115i
$582$		−	42.0181i		−	0.0721960i
$583$	685.103	+	395.544i	1.17513	+	0.678464i
$584$	124.482	−	71.8697i	0.213154	−	0.123065i
$585$	−347.588	−	28.5231i	−0.594168	−	0.0487574i
$586$	−129.642	−	74.8486i	−0.221232	−	0.127728i
$587$	190.573			0.324656			0.162328	−	0.986737i	$-0.448100\pi$
$587$	190.573			0.324656			0.162328	+	0.986737i	$0.448100\pi$
$588$	−169.733	+	1.60681i	−0.288662	+	0.00273268i
$589$	−44.2915			−0.0751977
$590$	179.633	+	379.865i	0.304462	+	0.643839i
$591$	−532.124	+	307.222i	−0.900379	+	0.519834i
$592$	−35.0206	+	20.2192i	−0.0591564	+	0.0341540i
$593$	28.6559	−	49.6336i	0.0483237	−	0.0836991i	−0.840852	−	0.541265i	$-0.817945\pi$
$593$	28.6559	−	49.6336i	0.0483237	−	0.0836991i	0.889175	+	0.457566i	$0.151279\pi$
$594$			152.095i			0.256051i
$595$	236.874	−	113.389i	0.398107	−	0.190570i
$596$	−405.755			−0.680797
$597$	−236.121	−	136.325i	−0.395513	−	0.228349i
$598$	−80.5736	−	139.558i	−0.134738	−	0.233374i
$599$	−101.609	−	175.993i	−0.169632	−	0.293811i	0.768659	−	0.639659i	$-0.220925\pi$
$599$	−101.609	−	175.993i	−0.169632	−	0.293811i	−0.938290	+	0.345848i	$0.887591\pi$
$600$	−19.9661	+	120.836i	−0.0332768	+	0.201393i
$601$		−	432.601i		−	0.719801i	−0.932991	−	0.359901i	$-0.882811\pi$
$601$		−	432.601i		−	0.719801i	0.932991	−	0.359901i	$-0.117189\pi$
$602$	147.263	−	85.9542i	0.244623	−	0.142781i
$603$		−	356.838i		−	0.591772i
$604$	73.9332	−	128.056i	0.122406	−	0.212013i
$605$	1531.77	+	125.697i	2.53186	+	0.207764i
$606$	−86.0101	−	148.974i	−0.141931	−	0.245831i
$607$	0.440815	−	0.763514i	0.000726219	−	0.00125785i	−0.865662	−	0.500629i	$-0.833102\pi$
$607$	0.440815	−	0.763514i	0.000726219	−	0.00125785i	0.866388	+	0.499371i	$0.166436\pi$
$608$	−161.211			−0.265149
$609$	2.08811	+	441.158i	0.00342875	+	0.724397i
$610$	122.331	−	176.727i	0.200543	−	0.289716i
$611$	134.210	−	232.458i	0.219656	−	0.380456i
$612$	22.5098	+	38.9881i	0.0367807	+	0.0637060i
$613$	54.3148	−	31.3586i	0.0886048	−	0.0511560i	−0.455043	−	0.890470i	$-0.650376\pi$
$613$	54.3148	−	31.3586i	0.0886048	−	0.0511560i	0.543648	+	0.839313i	$0.317043\pi$
$614$	−122.551	−	70.7548i	−0.199594	−	0.115236i
$615$	−22.6139	−	15.6534i	−0.0367705	−	0.0254527i
$616$	−409.784	+	1.93961i	−0.665234	+	0.00314871i
$617$			692.738i			1.12275i	0.827561	+	0.561376i	$0.189728\pi$
$617$			692.738i			1.12275i	−0.827561	+	0.561376i	$0.810272\pi$
$618$	257.110	+	148.442i	0.416035	+	0.240198i
$619$	−1024.18	+	591.312i	−1.65458	+	0.955270i	−0.679420	+	0.733750i	$0.737769\pi$
$619$	−1024.18	+	591.312i	−1.65458	+	0.955270i	−0.975156	+	0.221520i	$0.928898\pi$
$620$	1.27109	−	15.4897i	0.00205014	−	0.0249834i
$621$	22.0541	+	12.7329i	0.0355138	+	0.0205039i
$622$	−282.698			−0.454499
$623$	72.9035	+	124.903i	0.117020	+	0.200487i
$624$	161.084			0.258147
$625$	−121.774	−	613.022i	−0.194838	−	0.980835i
$626$	−608.227	+	351.160i	−0.971609	+	0.560959i
$627$	884.764	−	510.818i	1.41111	−	0.814702i
$628$	193.908	−	335.858i	0.308770	−	0.534806i
$629$		−	75.8548i		−	0.120596i
$630$	64.1147	+	133.938i	0.101769	+	0.212599i
$631$	166.483			0.263839			0.131920	−	0.991260i	$-0.457886\pi$
$631$	166.483			0.263839			0.131920	+	0.991260i	$0.457886\pi$
$632$	−334.648	−	193.209i	−0.529507	−	0.305711i
$633$	−160.452	−	277.912i	−0.253479	−	0.439039i
$634$	221.053	+	382.875i	0.348664	+	0.603904i
$635$	−833.999	+	394.387i	−1.31338	+	0.621082i
$636$			132.403i			0.208181i
$637$	−578.950	−	981.202i	−0.908870	−	1.54035i
$638$			1065.05i			1.66936i
$639$	−48.9837	+	84.8423i	−0.0766569	+	0.132774i
$640$	4.62646	−	56.3790i	0.00722885	−	0.0880922i
$641$	−482.501	−	835.716i	−0.752732	−	1.30377i	−0.946494	−	0.322721i	$-0.895403\pi$
$641$	−482.501	−	835.716i	−0.752732	−	1.30377i	0.193763	−	0.981048i	$-0.437931\pi$
$642$	−18.8045	+	32.5703i	−0.0292905	+	0.0507326i
$643$	271.859			0.422797			0.211399	−	0.977400i	$-0.432198\pi$
$643$	271.859			0.422797			0.211399	+	0.977400i	$0.432198\pi$
$644$	−34.0247	+	59.5820i	−0.0528334	+	0.0925187i
$645$	−122.650	−	84.8990i	−0.190155	−	0.131626i
$646$	151.201	−	261.888i	0.234057	−	0.405399i
$647$	−508.196	−	880.221i	−0.785465	−	1.36047i	−0.928721	−	0.370780i	$-0.879090\pi$
$647$	−508.196	−	880.221i	−0.785465	−	1.36047i	0.143255	−	0.989686i	$-0.454243\pi$
$648$	−22.0454	+	12.7279i	−0.0340207	+	0.0196419i
$649$	1065.16	+	614.971i	1.64123	+	0.947566i
$650$	−769.378	+	289.460i	−1.18366	+	0.445324i
$651$	−9.49884	−	16.2741i	−0.0145912	−	0.0249986i
$652$			179.909i			0.275935i
$653$	−156.993	−	90.6400i	−0.240418	−	0.138806i	0.374951	−	0.927045i	$-0.377660\pi$
$653$	−156.993	−	90.6400i	−0.240418	−	0.138806i	−0.615369	+	0.788239i	$0.710993\pi$
$654$	−89.8591	+	51.8802i	−0.137399	+	0.0793275i
$655$	−85.9750	+	1047.71i	−0.131260	+	1.59956i
$656$	11.0012	+	6.35155i	0.0167701	+	0.00968224i
$657$	−152.459			−0.232053
$658$	−114.286	+	0.540941i	−0.173686	+	0.000822099i
$659$	173.415			0.263149			0.131574	−	0.991306i	$-0.457997\pi$
$659$	173.415			0.263149			0.131574	+	0.991306i	$0.457997\pi$
$660$	153.254	+	324.081i	0.232202	+	0.491032i
$661$	−237.386	+	137.055i	−0.359132	+	0.207345i	−0.668700	−	0.743532i	$-0.733149\pi$
$661$	−237.386	+	137.055i	−0.359132	+	0.207345i	0.309568	+	0.950877i	$0.399816\pi$
$662$	−33.5875	+	19.3918i	−0.0507365	+	0.0292927i
$663$	−151.082	+	261.681i	−0.227876	+	0.394693i
$664$		−	243.385i		−	0.366543i
$665$	563.808	−	822.805i	0.847832	−	1.23730i
$666$	42.8913			0.0644014
$667$	154.435	+	89.1634i	0.231537	+	0.133678i
$668$	−211.582	−	366.470i	−0.316739	−	0.548608i
$669$	−229.380	−	397.298i	−0.342871	−	0.593869i
$670$	−359.557	−	760.347i	−0.536653	−	1.13485i
$671$		−	629.130i		−	0.937601i
$672$	−34.5736	−	59.2340i	−0.0514488	−	0.0881458i
$673$		−	177.432i		−	0.263644i	−0.991273	−	0.131822i	$-0.957917\pi$
$673$		−	177.432i		−	0.263644i	0.991273	−	0.131822i	$-0.0420827\pi$
$674$	132.893	−	230.178i	0.197171	−	0.341510i
$675$	82.4230	−	100.406i	0.122108	−	0.148750i
$676$	371.583	+	643.601i	0.549680	+	0.952073i
$677$	−50.9878	+	88.3134i	−0.0753143	+	0.130448i	−0.901223	−	0.433356i	$-0.857329\pi$
$677$	−50.9878	+	88.3134i	−0.0753143	+	0.130448i	0.825909	+	0.563804i	$0.190663\pi$
$678$	191.778			0.282859
$679$	−104.272	−	59.5454i	−0.153568	−	0.0876958i
$680$	87.2488	+	60.3940i	0.128307	+	0.0888148i
$681$	−177.151	+	306.834i	−0.260134	+	0.450565i
$682$	−22.7459	−	39.3970i	−0.0333517	−	0.0577669i
$683$	−325.572	+	187.969i	−0.476679	+	0.275211i	−0.719032	−	0.694977i	$-0.755414\pi$
$683$	−325.572	+	187.969i	−0.476679	+	0.275211i	0.242352	+	0.970188i	$0.422081\pi$
$684$	148.082	+	85.4949i	0.216494	+	0.124993i
$685$	164.756	+	114.045i	0.240519	+	0.166489i
$686$	−236.548	+	423.489i	−0.344823	+	0.617331i
$687$		−	542.556i		−	0.789747i
$688$	59.6669	+	34.4487i	0.0867252	+	0.0500708i
$689$	−769.610	+	444.334i	−1.11699	+	0.644897i
$690$	59.8225	+	4.90903i	0.0866993	+	0.00711454i
$691$	−608.925	−	351.563i	−0.881223	−	0.508774i	−0.0101617	−	0.999948i	$-0.503235\pi$
$691$	−608.925	−	351.563i	−0.881223	−	0.508774i	−0.871062	+	0.491174i	$0.836568\pi$
$692$	134.562			0.194454
$693$	377.439	+	215.539i	0.544645	+	0.311023i
$694$	893.298			1.28717
$695$	−318.509	+	150.619i	−0.458287	+	0.216717i
$696$	−154.375	+	89.1283i	−0.221803	+	0.128058i
$697$	−20.6362	+	11.9143i	−0.0296072	+	0.0170937i
$698$	34.4346	−	59.6425i	0.0493333	−	0.0854477i
$699$		−	141.841i		−	0.202920i
$700$	271.573	+	220.789i	0.387962	+	0.315414i
$701$	−1201.54			−1.71404			−0.857020	−	0.515283i	$-0.827687\pi$
$701$	−1201.54			−1.71404			−0.857020	+	0.515283i	$0.827687\pi$
$702$	−147.965	−	85.4276i	−0.210776	−	0.121692i
$703$	−144.053	−	249.507i	−0.204912	−	0.354918i
$704$	−82.7898	−	143.396i	−0.117599	−	0.203688i
$705$	42.7412	+	90.3837i	0.0606259	+	0.128204i
$706$			48.0595i			0.0680730i
$707$	−491.583	+	2.32678i	−0.695308	+	0.00329106i
$708$			205.853i			0.290753i
$709$	−597.422	+	1034.77i	−0.842626	+	1.45947i	0.0450406	+	0.998985i	$0.485658\pi$
$709$	−597.422	+	1034.77i	−0.842626	+	1.45947i	−0.887667	+	0.460486i	$0.847675\pi$
$710$	−18.8851	+	230.138i	−0.0265988	+	0.324138i
$711$	204.929	+	354.948i	0.288227	+	0.499224i
$712$	−29.2183	+	50.6075i	−0.0410369	+	0.0710779i
$713$	−7.61688			−0.0106829
$714$	128.653	−	0.608944i	0.180186	−	0.000852863i
$715$	−1369.45	+	1978.39i	−1.91532	+	2.76698i
$716$	182.950	−	316.878i	0.255516	−	0.442567i
$717$	260.740	+	451.615i	0.363654	+	0.629868i
$718$	−390.744	+	225.596i	−0.544212	+	0.314201i
$719$	194.171	+	112.105i	0.270057	+	0.155918i	0.628914	−	0.777475i	$-0.283500\pi$
$719$	194.171	+	112.105i	0.270057	+	0.155918i	−0.358856	+	0.933393i	$0.616833\pi$
$720$	−34.1492	+	49.3339i	−0.0474294	+	0.0685193i
$721$	732.737	−	427.683i	1.01628	−	0.593180i
$722$		−	638.028i		−	0.883695i
$723$	−366.312	−	211.490i	−0.506655	−	0.292517i
$724$	−458.662	+	264.809i	−0.633511	+	0.365758i
$725$	577.174	−	703.104i	0.796102	−	0.969799i
$726$	652.061	+	376.467i	0.898155	+	0.518550i
$727$	−945.937			−1.30115			−0.650576	−	0.759441i	$-0.725472\pi$
$727$	−945.937			−1.30115			−0.650576	+	0.759441i	$0.725472\pi$
$728$	228.278	−	399.747i	0.313569	−	0.549103i
$729$	27.0000			0.0370370
$730$	−324.857	+	153.620i	−0.445010	+	0.210439i
$731$	−111.924	+	64.6194i	−0.153111	+	0.0883987i
$732$	91.1895	−	52.6483i	0.124576	−	0.0719239i
$733$	−329.550	+	570.798i	−0.449591	+	0.778714i	−0.998359	−	0.0572601i	$-0.981764\pi$
$733$	−329.550	+	570.798i	−0.449591	+	0.778714i	0.548768	+	0.835974i	$0.315097\pi$
$734$		−	257.649i		−	0.351021i
$735$	423.240	+	30.7006i	0.575837	+	0.0417695i
$736$	−27.7237			−0.0376681
$737$	−2132.05	−	1230.94i	−2.89288	−	1.67020i
$738$	−6.73684	−	11.6685i	−0.00912850	−	0.0158110i
$739$	−46.5699	−	80.6615i	−0.0630175	−	0.109150i	0.832795	−	0.553581i	$-0.186739\pi$
$739$	−46.5699	−	80.6615i	−0.0630175	−	0.109150i	−0.895813	+	0.444431i	$0.853406\pi$
$740$	91.3923	−	43.2182i	0.123503	−	0.0584029i
$741$			1147.65i			1.54879i
$742$	328.573	+	187.634i	0.442821	+	0.252876i
$743$		−	674.167i		−	0.907358i	−0.891165	−	0.453679i	$-0.850111\pi$
$743$		−	674.167i		−	0.907358i	0.891165	−	0.453679i	$-0.149889\pi$
$744$	3.80694	−	6.59382i	0.00511686	−	0.00886266i
$745$	1010.99	+	82.9617i	1.35703	+	0.111358i
$746$	314.043	+	543.939i	0.420969	+	0.729140i
$747$	−129.074	+	223.563i	−0.172790	+	0.299282i
$748$	310.597			0.415236
$749$	54.1783	+	92.8221i	0.0723341	+	0.123928i
$750$	74.4544	−	296.996i	0.0992725	−	0.395994i
$751$	186.278	−	322.643i	0.248040	−	0.429618i	−0.714942	−	0.699184i	$-0.753547\pi$
$751$	186.278	−	322.643i	0.248040	−	0.429618i	0.962982	+	0.269566i	$0.0868802\pi$
$752$	−23.0894	−	39.9921i	−0.0307040	−	0.0531809i
$753$	493.571	−	284.963i	0.655473	−	0.378437i
$754$	−1036.14	−	598.214i	−1.37419	−	0.793387i
$755$	−210.396	+	303.951i	−0.278671	+	0.402584i
$756$	0.344321	+	72.7453i	0.000455451	+	0.0962240i
$757$			480.980i			0.635376i	0.948195	+	0.317688i	$0.102906\pi$
$757$			480.980i			0.635376i	−0.948195	+	0.317688i	$0.897094\pi$
$758$	98.7074	+	56.9887i	0.130221	+	0.0751830i
$759$	152.154	−	87.8463i	0.200467	−	0.115740i
$760$	401.677	+	32.9616i	0.528522	+	0.0433705i
$761$	−862.291	−	497.844i	−1.13310	−	0.654197i	−0.188390	−	0.982094i	$-0.560327\pi$
$761$	−862.291	−	497.844i	−1.13310	−	0.654197i	−0.944713	+	0.327897i	$0.893660\pi$
$762$	−451.955			−0.593116
$763$	1.40348	+	296.517i	0.00183943	+	0.388619i
$764$	353.412			0.462581
$765$	−48.1143	−	101.746i	−0.0628945	−	0.133001i
$766$	157.043	−	90.6686i	0.205016	−	0.118366i
$767$	−1196.55	+	690.826i	−1.56003	+	0.900686i
$768$	13.8564	−	24.0000i	0.0180422	−	0.0312500i
$769$		−	63.5750i		−	0.0826723i	−0.999145	−	0.0413362i	$-0.986839\pi$
$769$		−	63.5750i		−	0.0826723i	0.999145	−	0.0413362i	$-0.0131615\pi$
$770$	1021.42	+	78.9527i	1.32653	+	0.102536i
$771$	−10.8561			−0.0140805
$772$	1.63309	+	0.942864i	0.00211540	+	0.00122133i
$773$	257.008	+	445.152i	0.332482	+	0.575875i	0.982998	−	0.183617i	$-0.0587807\pi$
$773$	257.008	+	445.152i	0.332482	+	0.575875i	−0.650516	+	0.759493i	$0.725447\pi$
$774$	−36.5384	−	63.2863i	−0.0472072	−	0.0817653i
$775$	−6.33414	+	38.3347i	−0.00817308	+	0.0494641i
$776$		−	48.5183i		−	0.0625235i
$777$	60.7829	−	106.439i	0.0782277	−	0.136988i
$778$		−	528.763i		−	0.679644i
$779$	−45.2521	+	78.3790i	−0.0580900	+	0.100615i
$780$	−401.361	−	32.9356i	−0.514565	−	0.0422252i
$781$	337.946	+	585.340i	0.432710	+	0.749475i
$782$	26.0023	−	45.0373i	0.0332510	−	0.0575924i
$783$	189.070			0.241468
$784$	−195.991	+	1.85539i	−0.249989	+	0.00236657i
$785$	−551.815	+	797.185i	−0.702950	+	1.01552i
$786$	−257.498	+	446.000i	−0.327606	+	0.567430i
$787$	−474.578	−	821.993i	−0.603022	−	1.04446i	−0.992361	−	0.123370i	$-0.960630\pi$
$787$	−474.578	−	821.993i	−0.603022	−	1.04446i	0.389339	−	0.921094i	$-0.372703\pi$
$788$	−614.444	+	354.749i	−0.779751	+	0.450189i
$789$	−45.2794	−	26.1421i	−0.0573884	−	0.0331332i
$790$	794.314	+	549.828i	1.00546	+	0.695985i
$791$	271.777	−	475.919i	0.343586	−	0.601667i
$792$			175.624i			0.221747i
$793$	612.048	+	353.366i	0.771814	+	0.445607i
$794$	−456.968	+	263.831i	−0.575527	+	0.332280i
$795$	27.0715	−	329.900i	0.0340523	−	0.414968i
$796$	−272.649	−	157.414i	−0.342524	−	0.197756i
$797$	−419.225			−0.526003			−0.263002	−	0.964795i	$-0.584712\pi$
$797$	−419.225			−0.526003			−0.263002	+	0.964795i	$0.584712\pi$
$798$	422.017	−	246.322i	0.528844	−	0.308675i
$799$	86.6230			0.108414
$800$	−23.0548	+	139.529i	−0.0288185	+	0.174412i
$801$	53.6774	−	30.9906i	0.0670129	−	0.0386899i
$802$	538.795	−	311.073i	0.671814	−	0.387872i
$803$	−525.918	+	910.916i	−0.654941	+	1.13439i
$804$		−	412.041i		−	0.512489i
$805$	96.9591	−	141.499i	0.120446	−	0.175776i
$806$	51.1031			0.0634033
$807$	−707.620	−	408.544i	−0.876852	−	0.506251i
$808$	−99.3159	−	172.020i	−0.122916	−	0.212896i
$809$	−429.665	−	744.202i	−0.531107	−	0.919904i	−0.999341	−	0.0362996i	$-0.988443\pi$
$809$	−429.665	−	744.202i	−0.531107	−	0.919904i	0.468234	−	0.883604i	$-0.344890\pi$
$810$	57.5313	−	27.2057i	0.0710263	−	0.0335873i
$811$			542.815i			0.669316i	0.942340	+	0.334658i	$0.108621\pi$
$811$			542.815i			0.669316i	−0.942340	+	0.334658i	$0.891379\pi$
$812$	2.41114	+	509.405i	0.00296938	+	0.627346i
$813$			527.059i			0.648289i
$814$	147.957	−	256.269i	0.181765	−	0.314826i
$815$	36.7847	−	448.267i	0.0451347	−	0.550020i
$816$	25.9921	+	45.0196i	0.0318530	+	0.0551710i
$817$	−245.433	+	425.102i	−0.300407	+	0.520320i
$818$	715.104			0.874210
$819$	−421.685	+	246.128i	−0.514878	+	0.300523i
$820$	−26.1122	−	18.0750i	−0.0318442	−	0.0220427i
$821$	−188.831	+	327.065i	−0.230001	+	0.398374i	−0.957808	−	0.287408i	$-0.907206\pi$
$821$	−188.831	+	327.065i	−0.230001	+	0.398374i	0.727807	+	0.685782i	$0.240540\pi$
$822$	49.0820	+	85.0124i	0.0597104	+	0.103421i
$823$	986.986	−	569.836i	1.19925	−	0.692389i	0.238865	−	0.971053i	$-0.423225\pi$
$823$	986.986	−	569.836i	1.19925	−	0.692389i	0.960389	+	0.278664i	$0.0898914\pi$
$824$	296.885	+	171.407i	0.360297	+	0.208018i
$825$	−315.588	−	838.823i	−0.382531	−	1.01676i
$826$	510.848	+	291.723i	0.618460	+	0.353175i
$827$		−	721.390i		−	0.872298i	−0.899874	−	0.436149i	$-0.856342\pi$
$827$		−	721.390i		−	0.872298i	0.899874	−	0.436149i	$-0.143658\pi$
$828$	25.4659	+	14.7027i	0.0307559	+	0.0177569i
$829$	1053.05	−	607.980i	1.27027	−	0.733390i	0.295230	−	0.955426i	$-0.404604\pi$
$829$	1053.05	−	607.980i	1.27027	−	0.733390i	0.975038	+	0.222037i	$0.0712705\pi$
$830$	−49.7631	+	606.424i	−0.0599556	+	0.730631i
$831$	−563.015	−	325.057i	−0.677515	−	0.391164i
$832$	186.004			0.223562
$833$	180.808	−	320.129i	0.217056	−	0.384308i
$834$	−172.604			−0.206959
$835$	452.253	+	956.367i	0.541620	+	1.14535i
$836$	1021.64	−	589.842i	1.22205	−	0.705553i
$837$	−6.99380	+	4.03787i	−0.00835580	+	0.00482422i
$838$	381.554	−	660.871i	0.455315	−	0.788628i
$839$		−	432.249i		−	0.515196i	−0.966252	−	0.257598i	$-0.917069\pi$
$839$		−	432.249i		−	0.515196i	0.966252	−	0.257598i	$-0.0829310\pi$
$840$	74.0333	+	154.658i	0.0881349	+	0.184117i
$841$	482.977			0.574289
$842$	648.521	+	374.424i	0.770215	+	0.444684i
$843$	−29.4677	−	51.0396i	−0.0349558	−	0.0605452i
$844$	−185.274	−	320.905i	−0.219519	−	0.380219i
$845$	−794.254	−	1679.59i	−0.939946	−	1.98768i
$846$			48.9801i			0.0578961i
$847$	1858.31	−	1084.65i	2.19398	−	1.28058i
$848$			152.886i			0.180290i
$849$	−197.221	+	341.596i	−0.232298	+	0.402351i
$850$	−205.043	−	168.318i	−0.241227	−	0.198022i
$851$	−24.7730	−	42.9082i	−0.0291105	−	0.0504209i
$852$	−56.5616	+	97.9675i	−0.0663868	+	0.114985i
$853$	−1587.79			−1.86142			−0.930711	−	0.365756i	$-0.880811\pi$
$853$	−1587.79			−1.86142			−0.930711	+	0.365756i	$0.880811\pi$
$854$	−1.42426	−	300.907i	−0.00166776	−	0.352350i
$855$	−351.483	−	243.298i	−0.411092	−	0.284560i
$856$	−21.7136	+	37.6090i	−0.0253663	+	0.0439357i
$857$	276.165	+	478.333i	0.322247	+	0.558148i	0.980951	−	0.194254i	$-0.0622286\pi$
$857$	276.165	+	478.333i	0.322247	+	0.558148i	−0.658705	+	0.752402i	$0.728895\pi$
$858$	−1020.83	+	589.378i	−1.18978	+	0.686921i
$859$	556.822	+	321.481i	0.648221	+	0.374251i	0.787774	−	0.615964i	$-0.211233\pi$
$859$	556.822	+	321.481i	0.648221	+	0.374251i	−0.139553	+	0.990215i	$0.544567\pi$
$860$	−141.624	−	98.0329i	−0.164679	−	0.113992i
$861$	−38.5038	+	0.182248i	−0.0447199	+	0.000211670i
$862$		−	1040.14i		−	1.20666i
$863$	662.975	+	382.769i	0.768221	+	0.443533i	0.832240	−	0.554416i	$-0.187058\pi$
$863$	662.975	+	382.769i	0.768221	+	0.443533i	−0.0640184	+	0.997949i	$0.520392\pi$
$864$	−25.4558	+	14.6969i	−0.0294628	+	0.0170103i
$865$	−335.278	−	27.5129i	−0.387605	−	0.0318068i
$866$	381.120	+	220.040i	0.440093	+	0.254088i
$867$	403.050			0.464879
$868$	−10.9683	−	18.7917i	−0.0126363	−	0.0216494i
$869$	2827.68			3.25394
$870$	402.868	−	190.511i	0.463066	−	0.218978i
$871$	2395.04	−	1382.77i	2.74975	−	1.58757i
$872$	−103.760	+	59.9061i	−0.118991	+	0.0686996i
$873$	−25.7307	+	44.5669i	−0.0294739	+	0.0510503i
$874$		−	197.520i		−	0.225995i
$875$	−631.515	−	605.651i	−0.721732	−	0.692173i
$876$	−176.044			−0.200964
$877$	383.064	+	221.162i	0.436789	+	0.252180i	0.702234	−	0.711946i	$-0.252186\pi$
$877$	383.064	+	221.162i	0.436789	+	0.252180i	−0.265446	+	0.964126i	$0.585519\pi$
$878$	−543.322	−	941.061i	−0.618817	−	1.07182i
$879$	91.6705	+	158.778i	0.104290	+	0.180635i
$880$	176.962	+	374.217i	0.201093	+	0.425246i
$881$			1228.56i			1.39451i	0.716824	+	0.697254i	$0.245595\pi$
$881$			1228.56i			1.39451i	−0.716824	+	0.697254i	$0.754405\pi$
$882$	181.013	+	102.236i	0.205231	+	0.115914i
$883$			269.623i			0.305349i	0.988277	+	0.152674i	$0.0487886\pi$
$883$			269.623i			0.305349i	−0.988277	+	0.152674i	$0.951211\pi$
$884$	−174.454	+	302.164i	−0.197346	+	0.341814i
$885$	42.0893	−	512.910i	0.0475586	−	0.579559i
$886$	−132.184	−	228.949i	−0.149192	−	0.258407i
$887$	669.605	−	1159.79i	0.754910	−	1.30754i	−0.190509	−	0.981686i	$-0.561014\pi$
$887$	669.605	−	1159.79i	0.754910	−	1.30754i	0.945419	−	0.325857i	$-0.105653\pi$
$888$	49.5266			0.0557732
$889$	−640.483	+	1121.57i	−0.720453	+	1.26161i
$890$	83.1483	−	120.121i	0.0934250	−	0.134967i
$891$	93.1385	−	161.321i	0.104533	−	0.181056i
$892$	−264.866	−	458.761i	−0.296935	−	0.514306i
$893$	284.927	−	164.502i	0.319067	−	0.184213i
$894$	430.368	+	248.473i	0.481396	+	0.277934i
$895$	−520.632	+	752.135i	−0.581712	+	0.840375i
$896$	−39.9222	−	68.3975i	−0.0445560	−	0.0763365i
$897$			197.364i			0.220027i
$898$	−462.117	−	266.803i	−0.514607	−	0.297109i
$899$	−48.9747	+	28.2755i	−0.0544768	+	0.0314522i
$900$	95.1739	−	115.939i	0.105749	−	0.128821i
$901$	−248.364	−	143.393i	−0.275654	−	0.159149i
$902$	−92.9569			−0.103056
$903$	−208.832	+	0.988452i	−0.231265	+	0.00109463i
$904$	221.447			0.244963
$905$	1196.96	−	566.025i	1.32260	−	0.625442i
$906$	−156.836	+	90.5493i	−0.173108	+	0.0999440i
$907$	−536.617	+	309.816i	−0.591639	+	0.341583i	−0.765745	−	0.643144i	$-0.777630\pi$
$907$	−536.617	+	309.816i	−0.591639	+	0.341583i	0.174106	+	0.984727i	$0.444296\pi$
$908$	−204.556	+	354.302i	−0.225282	+	0.390200i
$909$			210.681i			0.231772i
$910$	−650.517	+	949.346i	−0.714854	+	1.04324i
$911$	1037.35			1.13869			0.569346	−	0.822098i	$-0.307197\pi$
$911$	1037.35			1.13869			0.569346	+	0.822098i	$0.307197\pi$
$912$	170.990	+	98.7211i	0.187489	+	0.108247i
$913$	890.503	+	1542.40i	0.975359	+	1.68937i
$914$	−184.952	−	320.347i	−0.202355	−	0.350489i
$915$	−237.975	+	112.535i	−0.260082	+	0.122989i
$916$		−	626.490i		−	0.683941i
$917$	741.886	+	1271.05i	0.809036	+	1.38610i
$918$		−	55.1375i		−	0.0600626i
$919$	−277.334	+	480.357i	−0.301778	+	0.522695i	−0.976539	−	0.215342i	$-0.930913\pi$
$919$	−277.334	+	480.357i	−0.301778	+	0.522695i	0.674761	+	0.738037i	$0.264247\pi$
$920$	69.0771	+	5.66846i	0.0750838	+	0.00616137i
$921$	86.6566	+	150.094i	0.0940897	+	0.162968i
$922$	−292.873	+	507.270i	−0.317649	+	0.550185i
$923$	−759.263			−0.822603
$924$	435.829	+	248.883i	0.471677	+	0.269354i
$925$	−236.552	+	88.9971i	−0.255732	+	0.0962131i
$926$	−170.320	+	295.002i	−0.183930	+	0.318577i
$927$	−181.804	−	314.894i	−0.196121	−	0.339691i
$928$	−178.257	+	102.917i	−0.192087	+	0.110901i
$929$	−1175.09	−	678.439i	−1.26490	−	0.730289i	−0.290880	−	0.956760i	$-0.593948\pi$
$929$	−1175.09	−	678.439i	−1.26490	−	0.730289i	−0.974018	+	0.226470i	$0.927281\pi$
$930$	−10.8337	+	15.6509i	−0.0116491	+	0.0168290i
$931$	−13.2189	−	1396.35i	−0.0141986	−	1.49984i
$932$		−	163.784i		−	0.175734i
$933$	299.847	+	173.117i	0.321379	+	0.185548i
$934$	219.571	−	126.769i	0.235087	−	0.135727i
$935$	−773.890	−	63.5054i	−0.827690	−	0.0679202i
$936$	−170.855	−	98.6433i	−0.182538	−	0.105388i
$937$	909.290			0.970427			0.485214	−	0.874396i	$-0.338742\pi$
$937$	909.290			0.970427			0.485214	+	0.874396i	$0.338742\pi$
$938$	−1022.53	−	583.920i	−1.09011	−	0.622516i
$939$	860.163			0.916042
$940$	49.3533	+	104.366i	0.0525035	+	0.111028i
$941$	243.012	−	140.303i	0.258249	−	0.149100i	−0.365287	−	0.930895i	$-0.619029\pi$
$941$	243.012	−	140.303i	0.258249	−	0.149100i	0.623535	+	0.781795i	$0.285696\pi$
$942$	−411.340	+	237.487i	−0.436667	+	0.252110i
$943$	−7.78209	+	13.4790i	−0.00825248	+	0.0142937i
$944$			237.699i			0.251800i
$945$	14.0158	−	181.324i	0.0148315	−	0.191878i
$946$	−504.167			−0.532947
$947$	1492.88	+	861.914i	1.57643	+	0.910152i	0.995352	+	0.0963036i	$0.0307020\pi$
$947$	1492.88	+	861.914i	1.57643	+	0.910152i	0.581077	+	0.813848i	$0.302631\pi$
$948$	236.632	+	409.859i	0.249612	+	0.432341i
$949$	−590.789	−	1023.28i	−0.622538	−	1.07827i
$950$	−994.089	−	164.256i	−1.04641	−	0.172901i
$951$		−	541.467i		−	0.569366i
$952$	148.555	−	0.703148i	0.156046	−	0.000738601i
$953$		−	1725.95i		−	1.81108i	−0.424266	−	0.905538i	$-0.639468\pi$
$953$		−	1725.95i		−	1.81108i	0.424266	−	0.905538i	$-0.360532\pi$
$954$	81.0802	−	140.435i	0.0849897	−	0.147206i
$955$	−880.570	−	72.2595i	−0.922063	−	0.0756644i
$956$	301.077	+	521.481i	0.314934	+	0.545482i
$957$	652.210	−	1129.66i	0.681515	−	1.18042i
$958$	904.216			0.943858
$959$	280.524	−	1.32779i	0.292517	−	0.00138455i
$960$	−39.4321	+	56.9659i	−0.0410751	+	0.0593395i
$961$	−479.292	+	830.159i	−0.498743	+	0.863849i
$962$	166.207	+	287.879i	0.172772	+	0.299251i
$963$	39.8904	−	23.0307i	0.0414230	−	0.0239156i
$964$	−422.980	−	244.208i	−0.438776	−	0.253327i
$965$	−3.87626	−	2.68317i	−0.00401685	−	0.00278049i
$966$	72.5750	−	42.3605i	0.0751294	−	0.0438514i
$967$			611.353i			0.632216i	0.948723	+	0.316108i	$0.102376\pi$
$967$			611.353i			0.632216i	−0.948723	+	0.316108i	$0.897624\pi$
$968$	752.935	+	434.707i	0.777825	+	0.449078i
$969$	−320.745	+	185.182i	−0.331007	+	0.191107i
$970$	−9.92017	+	120.889i	−0.0102270	+	0.124628i
$971$	4.14973	+	2.39585i	0.00427366	+	0.00246740i	0.502135	−	0.864789i	$-0.332548\pi$
$971$	4.14973	+	2.39585i	0.00427366	+	0.00246740i	−0.497862	+	0.867256i	$0.665881\pi$
$972$	31.1769			0.0320750
$973$	−244.604	+	428.336i	−0.251392	+	0.440222i
$974$	−965.002			−0.990762
$975$	993.306	+	164.126i	1.01878	+	0.168335i
$976$	105.297	−	60.7930i	0.107886	−	0.0622879i
$977$	1630.84	−	941.568i	1.66924	−	0.963734i	0.701185	−	0.712979i	$-0.252655\pi$
$977$	1630.84	−	941.568i	1.66924	−	0.963734i	0.968051	−	0.250754i	$-0.0806786\pi$
$978$	110.172	−	190.823i	0.112650	−	0.195115i
$979$		−	427.618i		−	0.436791i
$980$	488.716	+	35.4500i	0.498690	+	0.0361734i
$981$	127.080			0.129541
$982$	−210.318	−	121.427i	−0.214173	−	0.123653i
$983$	251.308	+	435.278i	0.255654	+	0.442806i	0.965073	−	0.261981i	$-0.0843759\pi$
$983$	251.308	+	435.278i	0.255654	+	0.442806i	−0.709419	+	0.704787i	$0.751043\pi$
$984$	−7.77903	−	13.4737i	−0.00790552	−	0.0136928i
$985$	1603.50	−	758.271i	1.62792	−	0.769819i
$986$		−	386.105i		−	0.391587i
$987$	121.549	+	69.4116i	0.123150	+	0.0703258i
$988$			1325.20i			1.34129i
$989$	−42.2075	+	73.1055i	−0.0426769	+	0.0739186i
$990$	35.9085	−	437.588i	0.0362712	−	0.442008i
$991$	−972.217	−	1683.93i	−0.981046	−	1.69922i	−0.658337	−	0.752724i	$-0.728740\pi$
$991$	−972.217	−	1683.93i	−0.981046	−	1.69922i	−0.322709	−	0.946498i	$-0.604594\pi$
$992$	4.39588	−	7.61389i	0.00443133	−	0.00767529i
$993$	47.5000			0.0478348
$994$	162.961	+	279.197i	0.163945	+	0.280883i
$995$	647.154	+	447.964i	0.650406	+	0.450215i
$996$	−149.042	+	258.149i	−0.149641	+	0.259185i
$997$	−303.490	−	525.660i	−0.304403	−	0.527242i	0.672725	−	0.739892i	$-0.265124\pi$
$997$	−303.490	−	525.660i	−0.304403	−	0.527242i	−0.977128	+	0.212651i	$0.931790\pi$
$998$	−185.061	+	106.845i	−0.185432	+	0.107059i
$999$	−45.4931	−	26.2655i	−0.0455386	−	0.0262917i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	210.3.p.a.19.6	✓	32
3.2	odd	2		630.3.bc.b.19.9		32
5.2	odd	4		1050.3.p.h.901.7		16
5.3	odd	4		1050.3.p.g.901.2		16
5.4	even	2	inner	210.3.p.a.19.9	yes	32
7.2	even	3		1470.3.h.a.979.8		32
7.3	odd	6	inner	210.3.p.a.199.9	yes	32
7.5	odd	6		1470.3.h.a.979.32		32
15.14	odd	2		630.3.bc.b.19.8		32
21.17	even	6		630.3.bc.b.199.8		32
35.3	even	12		1050.3.p.g.451.2		16
35.9	even	6		1470.3.h.a.979.31		32
35.17	even	12		1050.3.p.h.451.7		16
35.19	odd	6		1470.3.h.a.979.7		32
35.24	odd	6	inner	210.3.p.a.199.6	yes	32
105.59	even	6		630.3.bc.b.199.9		32

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
210.3.p.a.19.6	✓	32	1.1	even	1	trivial
210.3.p.a.19.9	yes	32	5.4	even	2	inner
210.3.p.a.199.6	yes	32	35.24	odd	6	inner
210.3.p.a.199.9	yes	32	7.3	odd	6	inner
630.3.bc.b.19.8		32	15.14	odd	2
630.3.bc.b.19.9		32	3.2	odd	2
630.3.bc.b.199.8		32	21.17	even	6
630.3.bc.b.199.9		32	105.59	even	6
1050.3.p.g.451.2		16	35.3	even	12
1050.3.p.g.901.2		16	5.3	odd	4
1050.3.p.h.451.7		16	35.17	even	12
1050.3.p.h.901.7		16	5.2	odd	4
1470.3.h.a.979.7		32	35.19	odd	6
1470.3.h.a.979.8		32	7.2	even	3
1470.3.h.a.979.31		32	35.9	even	6
1470.3.h.a.979.32		32	7.5	odd	6

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.p (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.22474 - 0.707107i) q^{2} +(0.866025 + 1.50000i) q^{3} +(1.00000 + 1.73205i) q^{4} +(-2.13749 - 4.52008i) q^{5} -2.44949i q^{6} +(-6.07868 - 3.47127i) q^{7} -2.82843i q^{8} +(-1.50000 + 2.59808i) q^{9} +O(q^{10})\)	\(q+(-1.22474 - 0.707107i) q^{2} +(0.866025 + 1.50000i) q^{3} +(1.00000 + 1.73205i) q^{4} +(-2.13749 - 4.52008i) q^{5} -2.44949i q^{6} +(-6.07868 - 3.47127i) q^{7} -2.82843i q^{8} +(-1.50000 + 2.59808i) q^{9} +(-0.578308 + 7.04738i) q^{10} +(10.3487 + 17.9245i) q^{11} +(-1.73205 + 3.00000i) q^{12} -23.2505 q^{13} +(4.99027 + 8.54969i) q^{14} +(4.92901 - 7.12074i) q^{15} +(-2.00000 + 3.46410i) q^{16} +(-3.75163 - 6.49801i) q^{17} +(3.67423 - 2.12132i) q^{18} +(-24.6803 - 14.2492i) q^{19} +(5.69153 - 8.22232i) q^{20} +(-0.0573869 - 12.1242i) q^{21} -29.2706i q^{22} +(-4.24431 - 2.45045i) q^{23} +(4.24264 - 2.44949i) q^{24} +(-15.8623 + 19.3232i) q^{25} +(28.4759 + 16.4406i) q^{26} -5.19615 q^{27} +(-0.0662646 - 13.9998i) q^{28} -36.3865 q^{29} +(-11.0719 + 5.23575i) q^{30} +(1.34596 - 0.777089i) q^{31} +(4.89898 - 2.82843i) q^{32} +(-17.9245 + 31.0462i) q^{33} +10.6112i q^{34} +(-2.69734 + 34.8959i) q^{35} -6.00000 q^{36} +(8.75515 + 5.05479i) q^{37} +(20.1514 + 34.9032i) q^{38} +(-20.1355 - 34.8757i) q^{39} +(-12.7847 + 6.04572i) q^{40} -3.17578i q^{41} +(-8.50283 + 14.8897i) q^{42} -17.2244i q^{43} +(-20.6974 + 35.8490i) q^{44} +(14.9497 + 1.22678i) q^{45} +(3.46546 + 6.00236i) q^{46} +(-5.77236 + 9.99802i) q^{47} -6.92820 q^{48} +(24.9006 + 42.2014i) q^{49} +(33.0909 - 12.4497i) q^{50} +(6.49801 - 11.2549i) q^{51} +(-23.2505 - 40.2710i) q^{52} +(33.1008 - 19.1108i) q^{53} +(6.36396 + 3.67423i) q^{54} +(58.9001 - 85.0905i) q^{55} +(-9.81823 + 17.1931i) q^{56} -49.3605i q^{57} +(44.5642 + 25.7291i) q^{58} +(51.4634 - 29.7124i) q^{59} +(17.2625 + 1.41656i) q^{60} +(-26.3241 - 15.1983i) q^{61} -2.19794 q^{62} +(18.1366 - 10.5860i) q^{63} -8.00000 q^{64} +(49.6975 + 105.094i) q^{65} +(43.9059 - 25.3491i) q^{66} +(-103.010 + 59.4730i) q^{67} +(7.50326 - 12.9960i) q^{68} -8.48862i q^{69} +(27.9787 - 40.8313i) q^{70} +32.6558 q^{71} +(7.34847 + 4.24264i) q^{72} +(25.4098 + 44.0110i) q^{73} +(-7.14855 - 12.3817i) q^{74} +(-42.7220 - 7.05907i) q^{75} -56.9966i q^{76} +(-0.685754 - 144.881i) q^{77} +56.9517i q^{78} +(68.3098 - 118.316i) q^{79} +(19.9330 + 1.63570i) q^{80} +(-4.50000 - 7.79423i) q^{81} +(-2.24561 + 3.88951i) q^{82} +86.0496 q^{83} +(20.9424 - 12.2236i) q^{84} +(-21.3525 + 30.8471i) q^{85} +(-12.1795 + 21.0954i) q^{86} +(-31.5116 - 54.5797i) q^{87} +(50.6982 - 29.2706i) q^{88} +(-17.8925 - 10.3302i) q^{89} +(-17.4422 - 12.0736i) q^{90} +(141.332 + 80.7085i) q^{91} -9.80181i q^{92} +(2.33127 + 1.34596i) q^{93} +(14.1393 - 8.16335i) q^{94} +(-11.6537 + 142.014i) q^{95} +(8.48528 + 4.89898i) q^{96} +17.1538 q^{97} +(-0.655979 - 69.2934i) q^{98} -62.0923 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 32 q + 32 q^{4} + 12 q^{5} - 48 q^{9}+O(q^{10}) \) 32 * q + 32 * q^4 + 12 * q^5 - 48 * q^9	\( 32 q + 32 q^{4} + 12 q^{5} - 48 q^{9} - 24 q^{10} + 48 q^{11} - 16 q^{14} + 24 q^{15} - 64 q^{16} + 48 q^{19} - 24 q^{21} + 72 q^{25} + 96 q^{26} + 176 q^{29} - 24 q^{30} - 48 q^{31} + 68 q^{35} - 192 q^{36} - 72 q^{39} - 48 q^{40} - 96 q^{44} - 36 q^{45} + 32 q^{46} - 272 q^{49} + 192 q^{50} - 24 q^{51} - 64 q^{56} + 744 q^{59} + 24 q^{60} - 672 q^{61} - 256 q^{64} + 172 q^{65} + 320 q^{70} - 144 q^{71} - 416 q^{74} - 144 q^{75} + 128 q^{79} - 48 q^{80} - 144 q^{81} - 96 q^{84} - 736 q^{85} + 304 q^{86} - 48 q^{89} + 976 q^{91} + 528 q^{94} + 236 q^{95} - 288 q^{99}+O(q^{100}) \) 32 * q + 32 * q^4 + 12 * q^5 - 48 * q^9 - 24 * q^10 + 48 * q^11 - 16 * q^14 + 24 * q^15 - 64 * q^16 + 48 * q^19 - 24 * q^21 + 72 * q^25 + 96 * q^26 + 176 * q^29 - 24 * q^30 - 48 * q^31 + 68 * q^35 - 192 * q^36 - 72 * q^39 - 48 * q^40 - 96 * q^44 - 36 * q^45 + 32 * q^46 - 272 * q^49 + 192 * q^50 - 24 * q^51 - 64 * q^56 + 744 * q^59 + 24 * q^60 - 672 * q^61 - 256 * q^64 + 172 * q^65 + 320 * q^70 - 144 * q^71 - 416 * q^74 - 144 * q^75 + 128 * q^79 - 48 * q^80 - 144 * q^81 - 96 * q^84 - 736 * q^85 + 304 * q^86 - 48 * q^89 + 976 * q^91 + 528 * q^94 + 236 * q^95 - 288 * q^99

Introduction

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