LMFDB - Embedded newform 287.3.y.a.10.5

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [287,3,Mod(10,287)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(287, base_ring=CyclotomicField(30))

chi = DirichletCharacter(H, H._module([5, 6]))

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

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

chi := DirichletCharacter("287.10");

S:= CuspForms(chi, 3);

N := Newforms(S);

Level:	$ N $	$=$	$ 287 = 7 \cdot 41 $
Weight:	$ k $	$=$	$ 3 $
Character orbit:	$[\chi]$	$=$	287.y (of order $30$, degree $8$, 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:	$7.82018358714$
Analytic rank:	$0$
Dimension:	$432$
Relative dimension:	$54$ over $\Q(\zeta_{30})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label			10.5
Character	$\chi$	$=$	287.10
Dual form			287.3.y.a.201.5

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.352334 + 3.35223i) q^{2} +(4.51935 + 2.60925i) q^{3} +(-7.20072 - 1.53056i) q^{4} +(2.89418 + 2.60593i) q^{5} +(-10.3391 + 14.2306i) q^{6} +(-6.73483 + 1.90841i) q^{7} +(3.50144 - 10.7763i) q^{8} +(9.11637 + 15.7900i) q^{9} +O(q^{10})$	\(q+(-0.352334 + 3.35223i) q^{2} +(4.51935 + 2.60925i) q^{3} +(-7.20072 - 1.53056i) q^{4} +(2.89418 + 2.60593i) q^{5} +(-10.3391 + 14.2306i) q^{6} +(-6.73483 + 1.90841i) q^{7} +(3.50144 - 10.7763i) q^{8} +(9.11637 + 15.7900i) q^{9} +(-9.75540 + 8.78380i) q^{10} +(2.51237 + 2.79027i) q^{11} +(-28.5490 - 25.7056i) q^{12} +(6.24618 - 8.59714i) q^{13} +(-4.02452 - 23.2491i) q^{14} +(6.28029 + 19.3288i) q^{15} +(7.99043 + 3.55757i) q^{16} +(21.3976 - 19.2665i) q^{17} +(-56.1438 + 24.9968i) q^{18} +(-6.56738 + 14.7506i) q^{19} +(-16.8516 - 23.1943i) q^{20} +(-35.4166 - 8.94808i) q^{21} +(-10.2388 + 7.43893i) q^{22} +(-0.358489 + 3.41079i) q^{23} +(43.9423 - 39.5658i) q^{24} +(-1.02781 - 9.77899i) q^{25} +(26.6188 + 23.9677i) q^{26} +48.1810i q^{27} +(51.4166 - 3.43386i) q^{28} +(-4.20067 - 12.9283i) q^{29} +(-67.0072 + 14.2428i) q^{30} +(-37.2379 + 33.5292i) q^{31} +(7.92068 - 13.7190i) q^{32} +(4.07378 + 19.1656i) q^{33} +(57.0466 + 78.5179i) q^{34} +(-24.4650 - 12.0272i) q^{35} +(-41.4768 - 127.653i) q^{36} +(28.1745 - 31.2910i) q^{37} +(-47.1334 - 27.2125i) q^{38} +(50.6608 - 22.5556i) q^{39} +(38.2161 - 22.0641i) q^{40} +(18.9586 + 36.3534i) q^{41} +(42.4745 - 115.572i) q^{42} +(12.2530 + 8.90232i) q^{43} +(-13.8202 - 23.9373i) q^{44} +(-14.7633 + 69.4557i) q^{45} +(-11.3075 - 2.40348i) q^{46} +(64.9089 + 6.82220i) q^{47} +(26.8290 + 36.9269i) q^{48} +(41.7159 - 25.7056i) q^{49} +33.1436 q^{50} +(146.974 - 31.2404i) q^{51} +(-58.1355 + 52.3454i) q^{52} +(-96.4921 - 20.5100i) q^{53} +(-161.514 - 16.9758i) q^{54} +14.6226i q^{55} +(-3.01596 + 79.2588i) q^{56} +(-68.1683 + 49.5272i) q^{57} +(44.8187 - 9.52652i) q^{58} +(3.56035 + 7.99667i) q^{59} +(-15.6388 - 148.793i) q^{60} +(13.0380 - 29.2838i) q^{61} +(-99.2773 - 136.644i) q^{62} +(-91.5310 - 88.9453i) q^{63} +(71.5033 + 51.9502i) q^{64} +(40.4811 - 8.60453i) q^{65} +(-65.6828 + 6.90355i) q^{66} +(-56.2825 - 11.9632i) q^{67} +(-183.567 + 105.982i) q^{68} +(-10.5198 + 14.4792i) q^{69} +(48.9379 - 77.7747i) q^{70} +(10.8660 - 33.4422i) q^{71} +(202.078 - 42.9531i) q^{72} +(62.9051 + 36.3183i) q^{73} +(94.9677 + 105.472i) q^{74} +(20.8708 - 46.8765i) q^{75} +(69.8665 - 96.1630i) q^{76} +(-22.2454 - 13.9974i) q^{77} +(57.7622 + 177.774i) q^{78} +(58.2313 + 100.860i) q^{79} +(13.8550 + 31.1188i) q^{80} +(-43.6690 + 75.6369i) q^{81} +(-128.545 + 50.7450i) q^{82} -20.4049i q^{83} +(241.329 + 118.640i) q^{84} +112.136 q^{85} +(-34.1598 + 37.9383i) q^{86} +(14.7489 - 69.3882i) q^{87} +(38.8657 - 17.3041i) q^{88} +(-33.5810 + 75.4242i) q^{89} +(-227.630 - 73.9615i) q^{90} +(-25.6601 + 69.8206i) q^{91} +(7.80180 - 24.0115i) q^{92} +(-255.777 + 54.3671i) q^{93} +(-45.7392 + 215.186i) q^{94} +(-57.4462 + 25.5767i) q^{95} +(71.5927 - 41.3341i) q^{96} +(68.1969 - 22.1585i) q^{97} +(71.4733 + 148.898i) q^{98} +(-21.1547 + 65.1074i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 432 q - 3 q^{2} - 24 q^{3} + 101 q^{4} - 9 q^{5} - 6 q^{7} - 16 q^{8} + 576 q^{9}+O(q^{10}) $ 432 * q - 3 * q^2 - 24 * q^3 + 101 * q^4 - 9 * q^5 - 6 * q^7 - 16 * q^8 + 576 * q^9	\( 432 q - 3 q^{2} - 24 q^{3} + 101 q^{4} - 9 q^{5} - 6 q^{7} - 16 q^{8} + 576 q^{9} + 72 q^{10} - 11 q^{11} - 33 q^{12} + 182 q^{14} - 54 q^{15} + 197 q^{16} - 63 q^{17} + 48 q^{18} + 63 q^{19} - 26 q^{21} - 52 q^{22} - 24 q^{23} - 510 q^{24} - 253 q^{25} - 159 q^{26} - 65 q^{28} + 152 q^{29} - 131 q^{30} - 45 q^{31} + 94 q^{32} + 36 q^{33} + 84 q^{35} + 474 q^{36} - 46 q^{37} - 6 q^{38} + 74 q^{39} + 258 q^{40} - 220 q^{42} - 88 q^{43} + 128 q^{44} - 156 q^{45} - 82 q^{46} - 309 q^{47} - 338 q^{49} + 704 q^{50} + 66 q^{51} + 291 q^{52} + 68 q^{53} + 483 q^{54} - 182 q^{56} + 114 q^{57} + 159 q^{58} - 207 q^{59} + 430 q^{60} + 423 q^{61} - 172 q^{63} - 896 q^{64} + 204 q^{65} - 1560 q^{66} + 33 q^{67} - 1242 q^{68} + 707 q^{70} - 162 q^{71} - 41 q^{72} - 78 q^{73} - 439 q^{74} - 1452 q^{75} + 164 q^{77} - 222 q^{78} - 138 q^{79} - 27 q^{80} - 928 q^{81} + 165 q^{82} - 543 q^{84} + 156 q^{85} + 609 q^{86} - 588 q^{87} + 394 q^{88} - 1161 q^{89} - 950 q^{91} + 482 q^{92} - 45 q^{93} + 1779 q^{94} - 475 q^{95} + 2412 q^{96} - 1100 q^{98} + 932 q^{99}+O(q^{100}) \) 432 * q - 3 * q^2 - 24 * q^3 + 101 * q^4 - 9 * q^5 - 6 * q^7 - 16 * q^8 + 576 * q^9 + 72 * q^10 - 11 * q^11 - 33 * q^12 + 182 * q^14 - 54 * q^15 + 197 * q^16 - 63 * q^17 + 48 * q^18 + 63 * q^19 - 26 * q^21 - 52 * q^22 - 24 * q^23 - 510 * q^24 - 253 * q^25 - 159 * q^26 - 65 * q^28 + 152 * q^29 - 131 * q^30 - 45 * q^31 + 94 * q^32 + 36 * q^33 + 84 * q^35 + 474 * q^36 - 46 * q^37 - 6 * q^38 + 74 * q^39 + 258 * q^40 - 220 * q^42 - 88 * q^43 + 128 * q^44 - 156 * q^45 - 82 * q^46 - 309 * q^47 - 338 * q^49 + 704 * q^50 + 66 * q^51 + 291 * q^52 + 68 * q^53 + 483 * q^54 - 182 * q^56 + 114 * q^57 + 159 * q^58 - 207 * q^59 + 430 * q^60 + 423 * q^61 - 172 * q^63 - 896 * q^64 + 204 * q^65 - 1560 * q^66 + 33 * q^67 - 1242 * q^68 + 707 * q^70 - 162 * q^71 - 41 * q^72 - 78 * q^73 - 439 * q^74 - 1452 * q^75 + 164 * q^77 - 222 * q^78 - 138 * q^79 - 27 * q^80 - 928 * q^81 + 165 * q^82 - 543 * q^84 + 156 * q^85 + 609 * q^86 - 588 * q^87 + 394 * q^88 - 1161 * q^89 - 950 * q^91 + 482 * q^92 - 45 * q^93 + 1779 * q^94 - 475 * q^95 + 2412 * q^96 - 1100 * q^98 + 932 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/287\mathbb{Z}\right)^\times$.

$n$	$206$	$211$
$\chi(n)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{1}{5}\right)$

Coefficient data

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

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

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

$2$	−0.352334	+	3.35223i	−0.176167	+	1.67612i	0.447391	+	0.894338i	$0.352353\pi$
$2$	−0.352334	+	3.35223i	−0.176167	+	1.67612i	−0.623558	+	0.781777i	$0.714314\pi$
$3$	4.51935	+	2.60925i	1.50645	+	0.869750i	0.999972	+	0.00749758i	$0.00238658\pi$
$3$	4.51935	+	2.60925i	1.50645	+	0.869750i	0.506479	+	0.862252i	$0.330947\pi$
$4$	−7.20072	−	1.53056i	−1.80018	−	0.382640i
$5$	2.89418	+	2.60593i	0.578836	+	0.521186i	0.905719	−	0.423879i	$-0.139332\pi$
$5$	2.89418	+	2.60593i	0.578836	+	0.521186i	−0.326883	+	0.945065i	$0.605998\pi$
$6$	−10.3391	+	14.2306i	−1.72319	+	2.37176i
$7$	−6.73483	+	1.90841i	−0.962119	+	0.272630i
$7$	−6.73483	+	1.90841i	−0.962119	+	0.272630i
$8$	3.50144	−	10.7763i	0.437680	−	1.34704i
$9$	9.11637	+	15.7900i	1.01293	+	1.75445i
$10$	−9.75540	+	8.78380i	−0.975540	+	0.878380i
$11$	2.51237	+	2.79027i	0.228397	+	0.253661i	0.846441	−	0.532483i	$-0.178741\pi$
$11$	2.51237	+	2.79027i	0.228397	+	0.253661i	−0.618043	+	0.786144i	$0.712074\pi$
$12$	−28.5490	−	25.7056i	−2.37908	−	2.14213i
$13$	6.24618	−	8.59714i	0.480476	−	0.661318i	−0.498120	−	0.867108i	$-0.665976\pi$
$13$	6.24618	−	8.59714i	0.480476	−	0.661318i	0.978596	+	0.205790i	$0.0659763\pi$
$14$	−4.02452	−	23.2491i	−0.287466	−	1.66065i
$15$	6.28029	+	19.3288i	0.418686	+	1.28858i
$16$	7.99043	+	3.55757i	0.499402	+	0.222348i
$17$	21.3976	−	19.2665i	1.25868	−	1.13332i	0.273490	−	0.961875i	$-0.411822\pi$
$17$	21.3976	−	19.2665i	1.25868	−	1.13332i	0.985193	−	0.171448i	$-0.0548446\pi$
$18$	−56.1438	+	24.9968i	−3.11910	+	1.38871i
$19$	−6.56738	+	14.7506i	−0.345652	+	0.776347i	0.654149	+	0.756366i	$0.273027\pi$
$19$	−6.56738	+	14.7506i	−0.345652	+	0.776347i	−0.999800	+	0.0199805i	$0.993640\pi$
$20$	−16.8516	−	23.1943i	−0.842582	−	1.15971i
$21$	−35.4166	−	8.94808i	−1.68650	−	0.426099i
$22$	−10.2388	+	7.43893i	−0.465401	+	0.338133i
$23$	−0.358489	+	3.41079i	−0.0155865	+	0.148295i	−0.999547	−	0.0300898i	$-0.990421\pi$
$23$	−0.358489	+	3.41079i	−0.0155865	+	0.148295i	0.983961	+	0.178385i	$0.0570873\pi$
$24$	43.9423	−	39.5658i	1.83093	−	1.64858i
$25$	−1.02781	−	9.77899i	−0.0411125	−	0.391160i
$26$	26.6188	+	23.9677i	1.02380	+	0.921835i
$27$			48.1810i			1.78448i
$28$	51.4166	−	3.43386i	1.83631	−	0.122638i
$29$	−4.20067	−	12.9283i	−0.144851	−	0.445804i	0.852141	−	0.523312i	$-0.175304\pi$
$29$	−4.20067	−	12.9283i	−0.144851	−	0.445804i	−0.996992	+	0.0775078i	$0.975304\pi$
$30$	−67.0072	+	14.2428i	−2.23357	+	0.474761i
$31$	−37.2379	+	33.5292i	−1.20122	+	1.08159i	−0.206558	+	0.978434i	$0.566226\pi$
$31$	−37.2379	+	33.5292i	−1.20122	+	1.08159i	−0.994666	+	0.103152i	$0.967107\pi$
$32$	7.92068	−	13.7190i	0.247521	−	0.428720i
$33$	4.07378	+	19.1656i	0.123448	+	0.580776i
$34$	57.0466	+	78.5179i	1.67784	+	2.30935i
$35$	−24.4650	−	12.0272i	−0.699000	−	0.343635i
$36$	−41.4768	−	127.653i	−1.15213	−	3.54590i
$37$	28.1745	−	31.2910i	0.761473	−	0.845702i	−0.230378	−	0.973101i	$-0.573996\pi$
$37$	28.1745	−	31.2910i	0.761473	−	0.845702i	0.991851	+	0.127399i	$0.0406630\pi$
$38$	−47.1334	−	27.2125i	−1.24035	−	0.716119i
$39$	50.6608	−	22.5556i	1.29899	−	0.578350i
$40$	38.2161	−	22.0641i	0.955403	−	0.551602i
$41$	18.9586	+	36.3534i	0.462404	+	0.886669i
$41$	18.9586	+	36.3534i	0.462404	+	0.886669i
$42$	42.4745	−	115.572i	1.01130	−	2.75171i
$43$	12.2530	+	8.90232i	0.284953	+	0.207031i	0.721075	−	0.692857i	$-0.243648\pi$
$43$	12.2530	+	8.90232i	0.284953	+	0.207031i	−0.436122	+	0.899888i	$0.643648\pi$
$44$	−13.8202	−	23.9373i	−0.314095	−	0.544029i
$45$	−14.7633	+	69.4557i	−0.328073	+	1.54346i
$46$	−11.3075	−	2.40348i	−0.245814	−	0.0522495i
$47$	64.9089	+	6.82220i	1.38104	+	0.145153i	0.765745	−	0.643144i	$-0.222370\pi$
$47$	64.9089	+	6.82220i	1.38104	+	0.145153i	0.615295	+	0.788297i	$0.289037\pi$
$48$	26.8290	+	36.9269i	0.558937	+	0.769311i
$49$	41.7159	−	25.7056i	0.851346	−	0.524605i
$50$	33.1436			0.662871
$51$	146.974	−	31.2404i	2.88185	−	0.612556i
$52$	−58.1355	+	52.3454i	−1.11799	+	1.00664i
$53$	−96.4921	−	20.5100i	−1.82061	−	0.386982i	−0.834221	−	0.551430i	$-0.814082\pi$
$53$	−96.4921	−	20.5100i	−1.82061	−	0.386982i	−0.986386	+	0.164449i	$0.947416\pi$
$54$	−161.514	−	16.9758i	−2.99100	−	0.314366i
$55$			14.6226i			0.265865i
$56$	−3.01596	+	79.2588i	−0.0538565	+	1.41534i
$57$	−68.1683	+	49.5272i	−1.19593	+	0.868897i
$58$	44.8187	−	9.52652i	0.772737	−	0.164250i
$59$	3.56035	+	7.99667i	0.0603449	+	0.135537i	0.941201	−	0.337848i	$-0.109699\pi$
$59$	3.56035	+	7.99667i	0.0603449	+	0.135537i	−0.880856	+	0.473384i	$0.843032\pi$
$60$	−15.6388	−	148.793i	−0.260647	−	2.47989i
$61$	13.0380	−	29.2838i	0.213737	−	0.480062i	−0.774579	−	0.632477i	$-0.782038\pi$
$61$	13.0380	−	29.2838i	0.213737	−	0.480062i	0.988317	+	0.152415i	$0.0487050\pi$
$62$	−99.2773	−	136.644i	−1.60125	−	2.20393i
$63$	−91.5310	−	88.9453i	−1.45287	−	1.41183i
$64$	71.5033	+	51.9502i	1.11724	+	0.811721i
$65$	40.4811	−	8.60453i	0.622786	−	0.132377i
$66$	−65.6828	+	6.90355i	−0.995195	+	0.104599i
$67$	−56.2825	−	11.9632i	−0.840037	−	0.178555i	−0.232250	−	0.972656i	$-0.574609\pi$
$67$	−56.2825	−	11.9632i	−0.840037	−	0.178555i	−0.607786	+	0.794101i	$0.707942\pi$
$68$	−183.567	+	105.982i	−2.69951	+	1.55856i
$69$	−10.5198	+	14.4792i	−0.152460	+	0.209843i
$70$	48.9379	−	77.7747i	0.699112	−	1.11107i
$71$	10.8660	−	33.4422i	0.153043	−	0.471017i	−0.844915	−	0.534901i	$-0.820349\pi$
$71$	10.8660	−	33.4422i	0.153043	−	0.471017i	0.997957	+	0.0638843i	$0.0203488\pi$
$72$	202.078	−	42.9531i	2.80665	−	0.596571i
$73$	62.9051	+	36.3183i	0.861713	+	0.497510i	0.864586	−	0.502485i	$-0.167581\pi$
$73$	62.9051	+	36.3183i	0.861713	+	0.497510i	−0.00287234	+	0.999996i	$0.500914\pi$
$74$	94.9677	+	105.472i	1.28335	+	1.42530i
$75$	20.8708	−	46.8765i	0.278277	−	0.625020i
$76$	69.8665	−	96.1630i	0.919297	−	1.26530i
$77$	−22.2454	−	13.9974i	−0.288901	−	0.181784i
$78$	57.7622	+	177.774i	0.740541	+	2.27915i
$79$	58.2313	+	100.860i	0.737106	+	1.27670i	0.953793	+	0.300463i	$0.0971413\pi$
$79$	58.2313	+	100.860i	0.737106	+	1.27670i	−0.216688	+	0.976241i	$0.569525\pi$
$80$	13.8550	+	31.1188i	0.173187	+	0.388984i
$81$	−43.6690	+	75.6369i	−0.539123	+	0.933789i
$82$	−128.545	+	50.7450i	−1.56762	+	0.618841i
$83$		−	20.4049i		−	0.245842i	−0.992416	−	0.122921i	$-0.960774\pi$
$83$		−	20.4049i		−	0.245842i	0.992416	−	0.122921i	$-0.0392262\pi$
$84$	241.329	+	118.640i	2.87297	+	1.41238i
$85$	112.136			1.31924
$86$	−34.1598	+	37.9383i	−0.397206	+	0.441142i
$87$	14.7489	−	69.3882i	0.169528	−	0.797566i
$88$	38.8657	−	17.3041i	0.441656	−	0.196638i
$89$	−33.5810	+	75.4242i	−0.377315	+	0.847463i	0.620674	+	0.784069i	$0.286859\pi$
$89$	−33.5810	+	75.4242i	−0.377315	+	0.847463i	−0.997989	+	0.0633943i	$0.979807\pi$
$90$	−227.630	−	73.9615i	−2.52922	−	0.821794i
$91$	−25.6601	+	69.8206i	−0.281980	+	0.767259i
$92$	7.80180	−	24.0115i	0.0848022	−	0.260994i
$93$	−255.777	+	54.3671i	−2.75029	+	0.584593i
$94$	−45.7392	+	215.186i	−0.486587	+	2.28921i
$95$	−57.4462	+	25.5767i	−0.604697	+	0.269228i
$96$	71.5927	−	41.3341i	0.745757	−	0.430563i
$97$	68.1969	−	22.1585i	0.703061	−	0.228438i	0.0643975	−	0.997924i	$-0.479487\pi$
$97$	68.1969	−	22.1585i	0.703061	−	0.228438i	0.638664	+	0.769486i	$0.279487\pi$
$98$	71.4733	+	148.898i	0.729320	+	1.51937i
$99$	−21.1547	+	65.1074i	−0.213684	+	0.657651i
$100$	−7.56634	+	71.9889i	−0.0756634	+	0.719889i
$101$	−76.3204	+	8.02160i	−0.755648	+	0.0794218i	−0.474515	−	0.880247i	$-0.657377\pi$
$101$	−76.3204	+	8.02160i	−0.755648	+	0.0794218i	−0.281132	+	0.959669i	$0.590710\pi$
$102$	52.9409	+	503.699i	0.519029	+	4.93823i
$103$	−42.5965	+	95.6733i	−0.413558	+	0.928867i	0.579902	+	0.814686i	$0.303091\pi$
$103$	−42.5965	+	95.6733i	−0.413558	+	0.928867i	−0.993460	+	0.114180i	$0.963576\pi$
$104$	−70.7748	−	97.4132i	−0.680527	−	0.936665i
$105$	−79.1839	−	118.191i	−0.754132	−	1.12562i
$106$	102.752	−	316.238i	0.969357	−	2.98337i
$107$	73.8082	+	32.8615i	0.689796	+	0.307117i	0.721534	−	0.692379i	$-0.243437\pi$
$107$	73.8082	+	32.8615i	0.689796	+	0.307117i	−0.0317378	+	0.999496i	$0.510104\pi$
$108$	73.7439	−	346.938i	0.682814	−	3.21239i
$109$	−2.85515	+	4.94527i	−0.0261940	+	0.0453694i	−0.878825	−	0.477144i	$-0.841672\pi$
$109$	−2.85515	+	4.94527i	−0.0261940	+	0.0453694i	0.852631	+	0.522513i	$0.175005\pi$
$110$	−49.0183	−	5.15203i	−0.445621	−	0.0468366i
$111$	208.976	−	67.9006i	1.88267	−	0.611717i
$112$	−60.6035	−	8.71061i	−0.541103	−	0.0777733i
$113$	−34.7782	+	107.036i	−0.307771	+	0.947223i	0.670857	+	0.741587i	$0.265926\pi$
$113$	−34.7782	+	107.036i	−0.307771	+	0.947223i	−0.978628	+	0.205636i	$0.934074\pi$
$114$	−142.008	−	245.966i	−1.24569	−	2.15760i
$115$	−9.92583	+	8.93725i	−0.0863115	+	0.0777152i
$116$	10.4602	+	99.5226i	0.0901745	+	0.857953i
$117$	192.691	+	20.2527i	1.64693	+	0.173100i
$118$	−28.0611	+	9.11761i	−0.237806	+	0.0772679i
$119$	−107.341	+	170.592i	−0.902025	+	1.43355i
$120$	230.283			1.91902
$121$	11.1743	−	106.317i	0.0923500	−	0.878651i
$122$	93.5723	+	54.0240i	0.766986	+	0.442819i
$123$	−9.17472	+	213.762i	−0.0745912	+	1.73790i
$124$	319.458	−	184.439i	2.57628	−	1.48741i
$125$	79.7370	−	109.749i	0.637896	−	0.877988i
$126$	330.415	−	275.495i	2.62234	−	2.18647i
$127$	−70.1225	−	215.815i	−0.552146	−	1.69933i	−0.703364	−	0.710830i	$-0.748320\pi$
$127$	−70.1225	−	215.815i	−0.552146	−	1.69933i	0.151218	−	0.988500i	$-0.451680\pi$
$128$	−156.942	+	174.302i	−1.22611	+	1.36173i
$129$	32.1472	+	72.2038i	0.249203	+	0.559719i
$130$	14.5815	+	138.734i	0.112165	+	1.06718i
$131$	−0.395299	−	1.85974i	−0.00301755	−	0.0141965i	0.976613	−	0.215004i	$-0.0689766\pi$
$131$	−0.395299	−	1.85974i	−0.00301755	−	0.0141965i	−0.979631	+	0.200808i	$0.935643\pi$
$132$		−	144.241i		−	1.09274i
$133$	16.0801	−	111.876i	0.120903	−	0.841173i
$134$	59.9336	−	184.457i	0.447266	−	1.37654i
$135$	−125.556	+	139.444i	−0.930047	+	1.03292i
$136$	−132.699	−	298.048i	−0.975731	−	2.19153i
$137$	73.4096	−	127.149i	0.535836	−	0.928096i	−0.463286	−	0.886209i	$-0.653330\pi$
$137$	73.4096	−	127.149i	0.535836	−	0.928096i	0.999122	−	0.0418869i	$-0.0133369\pi$
$138$	−44.8311	−	40.3661i	−0.324863	−	0.292508i
$139$	−158.693	−	218.422i	−1.14167	−	1.57138i	−0.763713	−	0.645556i	$-0.776626\pi$
$139$	−158.693	−	218.422i	−1.14167	−	1.57138i	−0.377961	−	0.925822i	$-0.623374\pi$
$140$	157.757	+	124.050i	1.12684	+	0.886070i
$141$	275.545	+	200.195i	1.95422	+	1.41983i
$142$	108.277	+	48.2082i	0.762518	+	0.339495i
$143$	39.6810	−	4.17065i	0.277490	−	0.0291654i
$144$	16.6696	+	158.601i	0.115761	+	1.10140i
$145$	21.5328	−	48.3635i	0.148502	−	0.333541i
$146$	−143.911	+	198.076i	−0.985690	+	1.35669i
$147$	255.602	−	7.32558i	1.73879	−	0.0498339i
$148$	−250.769	+	182.195i	−1.69439	+	1.23104i
$149$	43.9754	−	48.8396i	0.295137	−	0.327783i	−0.577279	−	0.816547i	$-0.695885\pi$
$149$	43.9754	−	48.8396i	0.295137	−	0.327783i	0.872416	+	0.488764i	$0.162552\pi$
$150$	149.787	+	86.4798i	0.998583	+	0.576532i
$151$	−34.4140	+	15.3221i	−0.227907	+	0.101471i	−0.517514	−	0.855675i	$-0.673142\pi$
$151$	−34.4140	+	15.3221i	−0.227907	+	0.101471i	0.289606	+	0.957146i	$0.406476\pi$
$152$	135.962	+	122.420i	0.894485	+	0.805397i
$153$	499.287	+	162.228i	3.26331	+	1.06031i
$154$	54.7602	−	69.6398i	0.355585	−	0.452207i
$155$	−195.148			−1.25902
$156$	−399.317	+	84.8774i	−2.55972	+	0.544086i
$157$	−303.425	+	31.8912i	−1.93264	+	0.203129i	−0.991037	−	0.133590i	$-0.957350\pi$
$157$	−303.425	+	31.8912i	−1.93264	+	0.203129i	−0.941605	+	0.336719i	$0.890683\pi$
$158$	−358.622	+	159.669i	−2.26976	+	1.01056i
$159$	−382.566	−	344.464i	−2.40608	−	2.16644i
$160$	58.6747	−	19.0646i	0.366717	−	0.119154i
$161$	−4.09483	−	23.6553i	−0.0254337	−	0.146927i
$162$	−238.166	−	173.038i	−1.47016	−	1.06814i
$163$	12.4792	+	21.6147i	0.0765597	+	0.132605i	0.901763	−	0.432230i	$-0.142273\pi$
$163$	12.4792	+	21.6147i	0.0765597	+	0.132605i	−0.825204	+	0.564835i	$0.808940\pi$
$164$	−80.8742	−	290.788i	−0.493136	−	1.77310i
$165$	−38.1540	+	66.0847i	−0.231236	+	0.400513i
$166$	68.4019	+	7.18933i	0.412059	+	0.0433092i
$167$			29.1716i			0.174680i	0.996179	+	0.0873401i	$0.0278367\pi$
$167$			29.1716i			0.174680i	−0.996179	+	0.0873401i	$0.972163\pi$
$168$	−220.436	+	350.329i	−1.31212	+	2.08529i
$169$	17.3280	+	53.3299i	0.102532	+	0.315562i
$170$	−39.5092	+	375.905i	−0.232407	+	2.21120i
$171$	−292.783	+	30.7727i	−1.71218	+	0.179957i
$172$	−74.6048	−	82.8570i	−0.433749	−	0.481727i
$173$	−19.4469	+	11.2277i	−0.112410	+	0.0648999i	−0.555151	−	0.831750i	$-0.687339\pi$
$173$	−19.4469	+	11.2277i	−0.112410	+	0.0648999i	0.442741	+	0.896650i	$0.354006\pi$
$174$	227.409	+	73.8896i	1.30695	+	0.424653i
$175$	25.5845	+	63.8984i	0.146197	+	0.365134i
$176$	10.1483	+	31.2334i	0.0576610	+	0.177462i
$177$	−4.77484	+	45.4296i	−0.0269765	+	0.256664i
$178$	−241.008	−	139.146i	−1.35398	−	0.781718i
$179$	−166.851	−	35.4652i	−0.932127	−	0.198130i	−0.283270	−	0.959040i	$-0.591419\pi$
$179$	−166.851	−	35.4652i	−0.932127	−	0.198130i	−0.648857	+	0.760910i	$0.724753\pi$
$180$	212.612	−	477.535i	1.18118	−	2.65297i
$181$	159.964	+	51.9753i	0.883776	+	0.287156i	0.715524	−	0.698588i	$-0.246188\pi$
$181$	159.964	+	51.9753i	0.883776	+	0.287156i	0.168252	+	0.985744i	$0.446188\pi$
$182$	−225.014	−	110.619i	−1.23634	−	0.607796i
$183$	135.332	−	98.3244i	0.739519	−	0.537292i
$184$	35.5006	+	15.8059i	0.192938	+	0.0859015i
$185$	163.084	−	17.1408i	0.881536	−	0.0926532i
$186$	−92.1322	−	876.580i	−0.495335	−	4.71279i
$187$	107.517	+	11.3005i	0.574959	+	0.0604306i
$188$	−456.949	−	148.472i	−2.43058	−	0.789743i
$189$	−91.9491	−	324.491i	−0.486503	−	1.71688i
$190$	−65.4987	−	201.584i	−0.344730	−	1.06097i
$191$	−100.171	−	173.501i	−0.524456	−	0.908384i	−0.999595	−	0.0284729i	$-0.990936\pi$
$191$	−100.171	−	173.501i	−0.524456	−	0.908384i	0.475139	−	0.879911i	$-0.342398\pi$
$192$	187.598	+	421.351i	0.977070	+	2.19454i
$193$	154.827	+	32.9096i	0.802214	+	0.170516i	0.590734	−	0.806866i	$-0.298838\pi$
$193$	154.827	+	32.9096i	0.802214	+	0.170516i	0.211480	+	0.977382i	$0.432172\pi$
$194$	50.2524	+	236.419i	0.259033	+	1.21865i
$195$	205.400	+	66.7384i	1.05333	+	0.342248i
$196$	−339.729	+	121.250i	−1.73331	+	0.618624i
$197$	28.4821	−	87.6590i	0.144579	−	0.444970i	−0.852377	−	0.522927i	$-0.824840\pi$
$197$	28.4821	−	87.6590i	0.144579	−	0.444970i	0.996957	+	0.0779577i	$0.0248399\pi$
$198$	−210.802	−	93.8549i	−1.06465	−	0.474015i
$199$	−68.0116	−	152.757i	−0.341767	−	0.767621i	−0.999892	−	0.0147121i	$-0.995317\pi$
$199$	−68.0116	−	152.757i	−0.341767	−	0.767621i	0.658125	−	0.752909i	$-0.271350\pi$
$200$	−108.980	−	23.1645i	−0.544901	−	0.115822i
$201$	−223.145	−	200.921i	−1.11018	−	0.999607i
$202$		−	258.670i		−	1.28054i
$203$	52.9633	+	79.0535i	0.260903	+	0.389426i
$204$	−1106.14			−5.42224
$205$	−39.8650	+	154.618i	−0.194464	+	0.754235i
$206$	−305.711	−	176.502i	−1.48403	−	0.856806i
$207$	−57.1246	+	25.4335i	−0.275964	+	0.122867i
$208$	80.4946	−	46.4736i	0.386993	−	0.223431i
$209$	−57.6578	+	18.7341i	−0.275875	+	0.0896371i
$210$	424.101	−	223.800i	2.01953	−	1.06572i
$211$	21.5220	+	15.6367i	0.102000	+	0.0741074i	0.637616	−	0.770354i	$-0.279921\pi$
$211$	21.5220	+	15.6367i	0.102000	+	0.0741074i	−0.535616	+	0.844462i	$0.679921\pi$
$212$	663.421	+	295.374i	3.12934	+	1.39327i
$213$	136.366	−	122.785i	0.640218	−	0.576455i
$214$	−136.164	+	235.844i	−0.636282	+	1.10207i
$215$	12.2635	+	57.6953i	0.0570396	+	0.268350i
$216$	519.214	+	168.703i	2.40377	+	0.781031i
$217$	186.804	−	296.879i	0.860847	−	1.36810i
$218$	−15.5717	−	11.3135i	−0.0714298	−	0.0518968i
$219$	189.527	+	328.270i	0.865419	+	1.49895i
$220$	22.3808	−	105.293i	0.101731	−	0.478605i
$221$	−31.9832	−	304.300i	−0.144721	−	1.37692i
$222$	153.989	+	724.461i	0.693644	+	3.26334i
$223$	164.748	−	226.756i	0.738781	−	1.01684i	−0.259907	−	0.965634i	$-0.583692\pi$
$223$	164.748	−	226.756i	0.738781	−	1.01684i	0.998688	−	0.0512111i	$-0.0163081\pi$
$224$	−27.1629	+	107.511i	−0.121263	+	0.479961i
$225$	145.040	−	105.378i	0.644624	−	0.468347i
$226$	−346.557	−	154.297i	−1.53344	−	0.682730i
$227$	419.487	−	44.0899i	1.84796	−	0.194229i	0.885316	−	0.464990i	$-0.153942\pi$
$227$	419.487	−	44.0899i	1.84796	−	0.194229i	0.962646	+	0.270762i	$0.0872756\pi$
$228$	566.665	−	252.295i	2.48537	−	1.10656i
$229$	−78.6228	−	369.891i	−0.343331	−	1.61525i	−0.723497	−	0.690328i	$-0.757466\pi$
$229$	−78.6228	−	369.891i	−0.343331	−	1.61525i	0.380166	−	0.924918i	$-0.375867\pi$
$230$	−26.4625	−	36.4225i	−0.115054	−	0.158359i
$231$	−64.0120	−	121.303i	−0.277108	−	0.525120i
$232$	−154.028			−0.663914
$233$	−29.3446	+	279.195i	−0.125942	+	1.19826i	0.730827	+	0.682562i	$0.239134\pi$
$233$	−29.3446	+	279.195i	−0.125942	+	1.19826i	−0.856770	+	0.515699i	$0.827532\pi$
$234$	−135.783	+	638.810i	−0.580270	+	2.72996i
$235$	170.080	+	188.893i	0.723744	+	0.803799i
$236$	−13.3977	−	63.0311i	−0.0567698	−	0.267081i
$237$			607.760i			2.56439i
$238$	−534.044	−	419.937i	−2.24388	−	1.76444i
$239$	−136.108	+	98.8881i	−0.569489	+	0.413758i	−0.834920	−	0.550372i	$-0.814486\pi$
$239$	−136.108	+	98.8881i	−0.569489	+	0.413758i	0.265431	+	0.964130i	$0.414486\pi$
$240$	−18.5811	+	176.788i	−0.0774214	+	0.736615i
$241$	−11.7391	+	55.2280i	−0.0487098	+	0.229162i	−0.995768	−	0.0918994i	$-0.970706\pi$
$241$	−11.7391	+	55.2280i	−0.0487098	+	0.229162i	0.947058	+	0.321061i	$0.104040\pi$
$242$	352.461	+	74.9180i	1.45645	+	0.309578i
$243$	−19.1772	+	11.0720i	−0.0789187	+	0.0455637i
$244$	−138.703	+	190.909i	−0.568457	+	0.782413i
$245$	187.721	+	34.3121i	0.766206	+	0.140049i
$246$	−713.346	−	106.071i	−2.89978	−	0.431184i
$247$	85.7917	+	148.596i	0.347335	+	0.601602i
$248$	230.935	+	518.688i	0.931188	+	2.09148i
$249$	53.2414	−	92.2169i	0.213821	−	0.370349i
$250$	339.808	+	305.965i	1.35923	+	1.22386i
$251$	−60.7326	+	19.7332i	−0.241963	+	0.0786184i	−0.427488	−	0.904021i	$-0.640601\pi$
$251$	−60.7326	+	19.7332i	−0.241963	+	0.0786184i	0.185525	+	0.982640i	$0.440601\pi$
$252$	522.953	+	780.564i	2.07521	+	3.09748i
$253$	−10.4177	+	7.56889i	−0.0411766	+	0.0299166i
$254$	748.168	−	159.028i	2.94554	−	0.626094i
$255$	506.781	+	292.590i	1.98737	+	1.14741i
$256$	−292.445	−	324.793i	−1.14236	−	1.26872i
$257$	−85.9304	−	404.271i	−0.334360	−	1.57304i	−0.748696	−	0.662914i	$-0.769319\pi$
$257$	−85.9304	−	404.271i	−0.334360	−	1.57304i	0.414336	−	0.910124i	$-0.364014\pi$
$258$	−253.370	+	82.3250i	−0.982056	+	0.319089i
$259$	−130.035	+	264.508i	−0.502064	+	1.02127i
$260$	−304.663			−1.17178
$261$	165.843	−	184.188i	0.635416	−	0.705701i
$262$	6.37354	−	0.669886i	0.0243265	−	0.00255682i
$263$	81.5277	+	90.5457i	0.309991	+	0.344280i	0.877929	−	0.478792i	$-0.158925\pi$
$263$	81.5277	+	90.5457i	0.309991	+	0.344280i	−0.567937	+	0.823072i	$0.692258\pi$
$264$	220.799	+	23.2069i	0.836358	+	0.0879048i
$265$	−225.818	−	310.812i	−0.852143	−	1.17287i
$266$	369.369	+	93.3217i	1.38860	+	0.350834i
$267$	−348.565	+	253.247i	−1.30549	+	0.948492i
$268$	386.964	+	172.287i	1.44389	+	0.642863i
$269$	25.1774	+	56.5494i	0.0935963	+	0.210221i	0.954277	−	0.298925i	$-0.0966281\pi$
$269$	25.1774	+	56.5494i	0.0935963	+	0.210221i	−0.860680	+	0.509146i	$0.829961\pi$
$270$	−423.212	−	470.025i	−1.56745	−	1.74083i
$271$	160.101	−	359.594i	0.590780	−	1.32691i	−0.332615	−	0.943063i	$-0.607931\pi$
$271$	160.101	−	359.594i	0.590780	−	1.32691i	0.923395	−	0.383851i	$-0.125402\pi$
$272$	239.518	−	77.8241i	0.880581	−	0.286118i
$273$	−298.147	+	248.590i	−1.09211	+	0.910586i
$274$	400.368	+	290.885i	1.46120	+	1.06162i
$275$	24.7038	−	27.4363i	0.0898319	−	0.0997684i
$276$	97.9111	−	88.1595i	0.354750	−	0.319419i
$277$	229.886	+	255.314i	0.829912	+	0.921711i	0.997945	−	0.0640706i	$-0.0204083\pi$
$277$	229.886	+	255.314i	0.829912	+	0.921711i	−0.168033	+	0.985781i	$0.553742\pi$
$278$	788.112	−	455.017i	2.83494	−	1.63675i
$279$	−868.901	−	282.323i	−3.11434	−	1.01191i
$280$	−215.272	+	221.530i	−0.768828	+	0.791178i
$281$	−110.269	−	80.1152i	−0.392417	−	0.285107i	0.374028	−	0.927417i	$-0.377976\pi$
$281$	−110.269	−	80.1152i	−0.392417	−	0.285107i	−0.766445	+	0.642310i	$0.777976\pi$
$282$	−768.185	+	853.156i	−2.72406	+	3.02538i
$283$	93.5552	−	440.142i	0.330584	−	1.55527i	−0.428049	−	0.903755i	$-0.640799\pi$
$283$	93.5552	−	440.142i	0.330584	−	1.55527i	0.758633	−	0.651518i	$-0.225868\pi$
$284$	−129.429	+	224.177i	−0.455734	+	0.789355i
$285$	−326.356	−	34.3013i	−1.14511	−	0.120356i
$286$			134.489i			0.470243i
$287$	−197.060	−	208.654i	−0.686621	−	0.727016i
$288$	288.831			1.00289
$289$	56.4512	−	537.097i	0.195333	−	1.85847i
$290$	154.539	+	89.2231i	0.532893	+	0.307666i
$291$	366.023	+	77.8006i	1.25781	+	0.267356i
$292$	−397.374	−	357.798i	−1.36087	−	1.22533i
$293$	209.776	−	288.732i	0.715959	−	0.985433i	−0.283690	−	0.958916i	$-0.591559\pi$
$293$	209.776	−	288.732i	0.715959	−	0.985433i	0.999648	−	0.0265166i	$-0.00844147\pi$
$294$	−65.5000	+	859.416i	−0.222789	+	2.92318i
$295$	−10.5345	+	32.4218i	−0.0357101	+	0.109904i
$296$	−238.550	−	413.181i	−0.805912	−	1.39588i
$297$	−134.438	+	121.048i	−0.452653	+	0.407571i
$298$	148.228	+	164.624i	0.497408	+	0.552428i
$299$	27.0839	+	24.3864i	0.0905815	+	0.0815600i
$300$	−222.032	+	305.601i	−0.740106	+	1.01867i
$301$	−99.5111	−	36.5719i	−0.330602	−	0.121501i
$302$	−39.2380	−	120.762i	−0.129927	−	0.399874i
$303$	−365.849	−	162.887i	−1.20742	−	0.537579i
$304$	−104.952	+	94.4996i	−0.345238	+	0.310854i
$305$	114.046	−	50.7764i	0.373920	−	0.166480i
$306$	−719.741	+	1616.57i	−2.35210	+	5.28289i
$307$	97.6828	+	134.449i	0.318185	+	0.437944i	0.937912	−	0.346873i	$-0.112757\pi$
$307$	97.6828	+	134.449i	0.318185	+	0.437944i	−0.619727	+	0.784817i	$0.712757\pi$
$308$	138.759	+	134.839i	0.450516	+	0.437789i
$309$	−442.144	+	321.236i	−1.43089	+	1.03960i
$310$	68.7572	−	654.181i	0.221797	−	2.11026i
$311$	−58.5391	+	52.7088i	−0.188229	+	0.169482i	−0.757857	−	0.652420i	$-0.773754\pi$
$311$	−58.5391	+	52.7088i	−0.188229	+	0.169482i	0.569629	+	0.821902i	$0.307087\pi$
$312$	−65.6811	−	624.914i	−0.210516	−	2.00293i
$313$	218.196	+	196.465i	0.697113	+	0.627684i	0.939521	−	0.342491i	$-0.111271\pi$
$313$	218.196	+	196.465i	0.697113	+	0.627684i	−0.242408	+	0.970174i	$0.577937\pi$
$314$		−	1028.39i		−	3.27512i
$315$	−33.1219	−	495.947i	−0.105149	−	1.57444i
$316$	−264.936	−	815.389i	−0.838404	−	2.58034i
$317$	−580.461	+	123.381i	−1.83111	+	0.389214i	−0.988734	−	0.149683i	$-0.952175\pi$
$317$	−580.461	+	123.381i	−1.83111	+	0.389214i	−0.842372	+	0.538897i	$0.818841\pi$
$318$	1289.51	−	1161.08i	4.05508	−	3.65121i
$319$	25.5199	−	44.2017i	0.0799996	−	0.138563i
$320$	71.5647	+	336.686i	0.223640	+	1.05214i
$321$	247.821	+	341.097i	0.772029	+	1.06261i
$322$	80.7407	−	5.39227i	0.250747	−	0.0167462i
$323$	143.666	+	442.158i	0.444786	+	1.36891i
$324$	430.215	−	477.802i	1.32782	−	1.47470i
$325$	−90.4912	−	52.2451i	−0.278435	−	0.160754i
$326$	−76.8542	+	34.2177i	−0.235749	+	0.104962i
$327$	−25.8069	+	14.8996i	−0.0789201	+	0.0455645i
$328$	458.138	−	77.0143i	1.39676	−	0.234800i
$329$	−450.170	+	77.9264i	−1.36830	+	0.236858i
$330$	−208.088	−	151.185i	−0.630570	−	0.458136i
$331$	158.782	+	275.019i	0.479705	+	0.830873i	0.999729	−	0.0232786i	$-0.00741046\pi$
$331$	158.782	+	275.019i	0.479705	+	0.830873i	−0.520024	+	0.854151i	$0.674077\pi$
$332$	−31.2309	+	146.930i	−0.0940690	+	0.442560i
$333$	750.934	+	159.616i	2.25506	+	0.479327i
$334$	−97.7899	−	10.2781i	−0.292784	−	0.0307729i
$335$	−131.716	−	181.292i	−0.393183	−	0.541170i
$336$	−251.161	−	197.496i	−0.747502	−	0.587786i
$337$	104.812			0.311014			0.155507	−	0.987835i	$-0.450299\pi$
$337$	104.812			0.311014			0.155507	+	0.987835i	$0.450299\pi$
$338$	−184.879	+	39.2973i	−0.546981	+	0.116264i
$339$	−436.459	+	392.989i	−1.28749	+	1.15926i
$340$	−807.457	−	171.630i	−2.37487	−	0.504795i
$341$	−187.111	−	19.6661i	−0.548712	−	0.0576720i
$342$		−	992.317i		−	2.90151i
$343$	−231.893	+	252.734i	−0.676073	+	0.736835i
$344$	138.837	−	100.871i	0.403597	−	0.293230i
$345$	−68.1778	+	14.4916i	−0.197617	+	0.0420048i
$346$	−30.7860	−	69.1464i	−0.0889768	−	0.199845i
$347$	−27.1159	−	257.990i	−0.0781437	−	0.743488i	−0.961504	−	0.274792i	$-0.911391\pi$
$347$	−27.1159	−	257.990i	−0.0781437	−	0.743488i	0.883360	−	0.468695i	$-0.155276\pi$
$348$	−212.406	+	477.071i	−0.610361	+	1.37089i
$349$	264.608	+	364.201i	0.758189	+	1.04356i	0.997363	+	0.0725803i	$0.0231234\pi$
$349$	264.608	+	364.201i	0.758189	+	1.04356i	−0.239174	+	0.970977i	$0.576877\pi$
$350$	−223.216	+	63.2515i	−0.637761	+	0.180719i
$351$	414.219	+	300.947i	1.18011	+	0.857400i
$352$	58.1794	−	12.3664i	0.165282	−	0.0351319i
$353$	−599.234	+	62.9821i	−1.69755	+	0.178419i	−0.903252	−	0.429111i	$-0.858827\pi$
$353$	−599.234	+	62.9821i	−1.69755	+	0.178419i	−0.794296	+	0.607531i	$0.792160\pi$
$354$	−150.608	−	32.0128i	−0.425447	−	0.0904315i
$355$	118.596	−	68.4716i	0.334074	−	0.192878i
$356$	357.249	−	491.711i	1.00351	−	1.38121i
$357$	−930.229	+	490.886i	−2.60568	+	1.37503i
$358$	177.675	−	546.827i	0.496298	−	1.52745i
$359$	29.7192	−	6.31701i	0.0827833	−	0.0175961i	−0.166334	−	0.986070i	$-0.553193\pi$
$359$	29.7192	−	6.31701i	0.0827833	−	0.0175961i	0.249117	+	0.968473i	$0.419860\pi$
$360$	696.784	+	402.288i	1.93551	+	1.11747i
$361$	67.1069	+	74.5298i	0.185892	+	0.206454i
$362$	−230.594	+	517.922i	−0.636999	+	1.43072i
$363$	327.908	−	451.326i	0.903327	−	1.24332i
$364$	291.636	−	463.484i	0.801198	−	1.27331i
$365$	87.4157	+	269.038i	0.239495	+	0.737090i
$366$	281.924	+	488.307i	0.770284	+	1.33417i
$367$	253.723	+	569.872i	0.691344	+	1.55278i	0.827108	+	0.562043i	$0.189985\pi$
$367$	253.723	+	569.872i	0.691344	+	1.55278i	−0.135764	+	0.990741i	$0.543349\pi$
$368$	−14.9986	+	25.9784i	−0.0407571	+	0.0705934i
$369$	−401.188	+	630.767i	−1.08723	+	1.70940i
$370$			552.735i			1.49388i
$371$	689.000	−	46.0149i	1.85714	−	0.124029i
$372$	1924.99			5.17471
$373$	−96.4103	+	107.075i	−0.258473	+	0.287063i	−0.858389	−	0.513000i	$-0.828534\pi$
$373$	−96.4103	+	107.075i	−0.258473	+	0.287063i	0.599916	+	0.800063i	$0.295201\pi$
$374$	−75.7640	+	356.441i	−0.202577	+	0.953052i
$375$	646.721	−	287.939i	1.72459	−	0.767836i
$376$	300.793	−	675.591i	0.799980	−	1.79678i
$377$	−137.385	−	44.6390i	−0.364416	−	0.118406i
$378$	1120.17	−	193.906i	2.96340	−	0.512978i
$379$	−15.3418	+	47.2173i	−0.0404798	+	0.124584i	−0.969254	−	0.246062i	$-0.920863\pi$
$379$	−15.3418	+	47.2173i	−0.0404798	+	0.124584i	0.928774	+	0.370645i	$0.120863\pi$
$380$	452.800	−	96.2457i	1.19158	−	0.253278i
$381$	246.207	−	1158.31i	0.646211	−	3.04019i
$382$	616.910	−	274.666i	1.61495	−	0.719021i
$383$	−584.503	+	337.463i	−1.52612	+	0.881105i	−0.526599	+	0.850114i	$0.676533\pi$
$383$	−584.503	+	337.463i	−1.52612	+	0.881105i	−0.999520	+	0.0309914i	$0.990134\pi$
$384$	−1164.07	+	378.231i	−3.03144	+	0.984975i
$385$	−27.9059	−	98.4807i	−0.0724829	−	0.255794i
$386$	−164.871	+	507.422i	−0.427128	+	1.31456i
$387$	−28.8649	+	274.632i	−0.0745864	+	0.709642i
$388$	−524.982	+	55.1778i	−1.35305	+	0.142211i
$389$	−23.0180	−	219.002i	−0.0591723	−	0.562987i	−0.983439	−	0.181240i	$-0.941989\pi$
$389$	−23.0180	−	219.002i	−0.0591723	−	0.562987i	0.924267	−	0.381748i	$-0.124678\pi$
$390$	−296.092	+	665.033i	−0.759210	+	1.70521i
$391$	58.0432	+	79.8897i	0.148448	+	0.204321i
$392$	−130.946	−	539.551i	−0.334047	−	1.37640i
$393$	3.06602	−	9.43624i	0.00780158	−	0.0240108i
$394$	283.818	+	126.364i	0.720350	+	0.320721i
$395$	−94.3013	+	443.653i	−0.238737	+	1.12317i
$396$	251.980	−	436.442i	0.636313	−	1.10213i
$397$	−651.491	−	68.4744i	−1.64103	−	0.172480i	−0.761450	−	0.648223i	$-0.775512\pi$
$397$	−651.491	−	68.4744i	−1.64103	−	0.172480i	−0.879584	+	0.475744i	$0.842179\pi$
$398$	536.038	−	174.169i	1.34683	−	0.437611i
$399$	364.584	−	463.650i	0.913744	−	1.16203i
$400$	26.5768	−	81.7949i	0.0664419	−	0.204487i
$401$	0.117527	+	0.203562i	0.000293084	+	0.000507636i	0.866172	−	0.499746i	$-0.166573\pi$
$401$	0.117527	+	0.203562i	0.000293084	+	0.000507636i	−0.865879	+	0.500254i	$0.833240\pi$
$402$	752.155	−	677.243i	1.87103	−	1.68468i
$403$	55.6599	+	529.569i	0.138114	+	1.31407i
$404$	561.839	+	59.0517i	1.39069	+	0.146168i
$405$	−323.490	+	105.108i	−0.798742	+	0.259527i
$406$	−283.666	+	149.692i	−0.698685	+	0.368700i
$407$	158.095			0.388440
$408$	177.965	−	1693.23i	0.436190	−	4.15007i
$409$	−319.174	−	184.275i	−0.780377	−	0.450551i	0.0561868	−	0.998420i	$-0.482106\pi$
$409$	−319.174	−	184.275i	−0.780377	−	0.450551i	−0.836564	+	0.547869i	$0.815439\pi$
$410$	−504.270	−	188.114i	−1.22993	−	0.458814i
$411$	663.528	−	383.088i	1.61442	−	0.932087i
$412$	453.159	−	623.720i	1.09990	−	1.51388i
$413$	−39.2393	−	47.0616i	−0.0950103	−	0.113951i
$414$	−65.1321	−	200.456i	−0.157324	−	0.484193i
$415$	53.1737	−	59.0554i	0.128129	−	0.142302i
$416$	−68.4703	−	153.787i	−0.164592	−	0.369680i
$417$	−147.271	−	1401.19i	−0.353169	−	3.36017i
$418$	−42.4864	−	199.883i	−0.101642	−	0.478189i
$419$		−	396.070i		−	0.945274i	−0.881257	−	0.472637i	$-0.843302\pi$
$419$		−	396.070i		−	0.945274i	0.881257	−	0.472637i	$-0.156698\pi$
$420$	389.283	+	972.253i	0.926865	+	2.31489i
$421$	−108.744	+	334.679i	−0.258299	+	0.794963i	0.734862	+	0.678216i	$0.237247\pi$
$421$	−108.744	+	334.679i	−0.258299	+	0.794963i	−0.993162	+	0.116747i	$0.962753\pi$
$422$	−60.0007	+	66.6375i	−0.142182	+	0.157909i
$423$	484.011	+	1087.11i	1.14423	+	2.56999i
$424$	−558.884	+	968.015i	−1.31812	+	2.28305i
$425$	−210.400	−	189.445i	−0.495058	−	0.445752i
$426$	363.557	+	500.393i	0.853420	+	1.17463i
$427$	−31.9231	+	222.103i	−0.0747615	+	0.520148i
$428$	−481.175	−	349.594i	−1.12424	−	0.816809i
$429$	190.215	+	84.6891i	0.443391	+	0.197411i
$430$	−197.729	+	20.7821i	−0.459835	+	0.0483306i
$431$	−87.1479	−	829.156i	−0.202199	−	1.92380i	−0.353736	−	0.935345i	$-0.615089\pi$
$431$	−87.1479	−	829.156i	−0.202199	−	1.92380i	0.151537	−	0.988452i	$-0.451578\pi$
$432$	−171.407	+	384.987i	−0.396776	+	0.891174i
$433$	−245.687	+	338.159i	−0.567405	+	0.780967i	−0.992244	−	0.124302i	$-0.960331\pi$
$433$	−245.687	+	338.159i	−0.567405	+	0.780967i	0.424839	+	0.905269i	$0.360331\pi$
$434$	929.388	+	730.809i	2.14145	+	1.68389i
$435$	223.507	−	162.387i	0.513809	−	0.373304i
$436$	28.1282	−	31.2395i	0.0645141	−	0.0716502i
$437$	−47.9569	−	27.6879i	−0.109741	−	0.0633591i
$438$	−1167.21	+	519.677i	−2.66487	+	1.18648i
$439$	−272.052	−	244.957i	−0.619709	−	0.557988i	0.298338	−	0.954460i	$-0.403568\pi$
$439$	−272.052	−	244.957i	−0.619709	−	0.557988i	−0.918047	+	0.396472i	$0.870234\pi$
$440$	157.578	+	51.2001i	0.358131	+	0.116364i
$441$	786.190	+	424.353i	1.78274	+	0.962252i
$442$	1031.35			2.33338
$443$	−27.7040	+	5.88867i	−0.0625372	+	0.0132927i	−0.239074	−	0.971001i	$-0.576844\pi$
$443$	−27.7040	+	5.88867i	−0.0625372	+	0.0132927i	0.176537	+	0.984294i	$0.443511\pi$
$444$	−1608.71	+	169.082i	−3.62321	+	0.380815i
$445$	−293.740	+	130.781i	−0.660090	+	0.293891i
$446$	702.093	+	632.168i	1.57420	+	1.41742i
$447$	326.175	−	105.981i	0.729698	−	0.237093i
$448$	−580.705	−	213.418i	−1.29622	−	0.476380i
$449$	−316.284	−	229.794i	−0.704419	−	0.511790i	0.176949	−	0.984220i	$-0.443377\pi$
$449$	−316.284	−	229.794i	−0.704419	−	0.511790i	−0.881368	+	0.472430i	$0.843377\pi$
$450$	302.149	+	523.337i	0.671442	+	1.16297i
$451$	−53.8049	+	144.233i	−0.119301	+	0.319807i
$452$	414.253	−	717.508i	0.916489	−	1.58741i
$453$	−195.508	−	20.5487i	−0.431585	−	0.0453614i
$454$			1421.75i			3.13161i
$455$	−256.213	+	135.205i	−0.563105	+	0.297153i
$456$	295.033	+	908.019i	0.647003	+	1.99127i
$457$	−14.5857	+	138.774i	−0.0319162	+	0.303662i	0.966906	+	0.255134i	$0.0821197\pi$
$457$	−14.5857	+	138.774i	−0.0319162	+	0.303662i	−0.998822	+	0.0485280i	$0.984547\pi$
$458$	1267.66	−	133.237i	2.76782	−	0.290910i
$459$	928.279	+	1030.96i	2.02239	+	2.24610i
$460$	85.1521	−	49.1626i	0.185113	−	0.106875i
$461$	−142.373	−	46.2597i	−0.308835	−	0.100347i	0.150499	−	0.988610i	$-0.451912\pi$
$461$	−142.373	−	46.2597i	−0.308835	−	0.100347i	−0.459334	+	0.888264i	$0.651912\pi$
$462$	429.188	−	171.844i	0.928979	−	0.371957i
$463$	3.96567	+	12.2051i	0.00856516	+	0.0263609i	0.955248	−	0.295807i	$-0.0955885\pi$
$463$	3.96567	+	12.2051i	0.00856516	+	0.0263609i	−0.946683	+	0.322168i	$0.895588\pi$
$464$	12.4283	−	118.247i	0.0267850	−	0.254843i
$465$	−881.942	−	509.190i	−1.89665	−	1.09503i
$466$	−925.586	−	196.739i	−1.98624	−	0.422188i
$467$	129.403	−	290.643i	0.277093	−	0.622362i	−0.720366	−	0.693594i	$-0.756026\pi$
$467$	129.403	−	290.643i	0.277093	−	0.622362i	0.997460	+	0.0712317i	$0.0226930\pi$
$468$	−1356.52	−	440.760i	−2.89854	−	0.941794i
$469$	401.884	−	26.8398i	0.856895	−	0.0572278i
$470$	−693.137	+	503.593i	−1.47476	+	1.07148i
$471$	−1454.50	−	647.583i	−3.08810	−	1.37491i
$472$	98.6409	−	10.3676i	0.208985	−	0.0219652i
$473$	5.94417	+	56.5550i	0.0125670	+	0.119567i
$474$	−2037.35	−	214.134i	−4.29821	−	0.451760i
$475$	150.996	+	49.0615i	0.317886	+	0.103287i
$476$	1034.03	−	1064.09i	2.17234	−	2.23549i
$477$	−555.804	−	1710.59i	−1.16521	−	3.58614i
$478$	−283.540	−	491.106i	−0.593181	−	1.02742i
$479$	31.0128	+	69.6558i	0.0647448	+	0.145419i	0.943020	−	0.332737i	$-0.107972\pi$
$479$	31.0128	+	69.6558i	0.0647448	+	0.145419i	−0.878275	+	0.478156i	$0.841305\pi$
$480$	314.916	+	66.9374i	0.656075	+	0.139453i
$481$	−93.0295	−	437.669i	−0.193408	−	0.909915i
$482$	−181.001	−	58.8107i	−0.375520	−	0.122014i
$483$	43.2165	−	117.591i	0.0894752	−	0.243460i
$484$	−243.188	+	748.454i	−0.502454	+	1.54639i
$485$	255.118	+	113.586i	0.526016	+	0.234197i
$486$	−30.3591	−	68.1876i	−0.0624672	−	0.140304i
$487$	−413.211	−	87.8308i	−0.848483	−	0.180351i	−0.236903	−	0.971533i	$-0.576132\pi$
$487$	−413.211	−	87.8308i	−0.848483	−	0.180351i	−0.611580	+	0.791183i	$0.709466\pi$
$488$	−269.920	−	243.037i	−0.553114	−	0.498026i
$489$			130.246i			0.266351i
$490$	−181.162	+	617.193i	−0.369719	+	1.25958i
$491$	−141.087			−0.287347			−0.143674	−	0.989625i	$-0.545892\pi$
$491$	−141.087			−0.287347			−0.143674	+	0.989625i	$0.545892\pi$
$492$	393.240	−	1525.20i	0.799267	−	3.09999i
$493$	−338.968	−	195.703i	−0.687561	−	0.396964i
$494$	−528.354	+	235.238i	−1.06954	+	0.476191i
$495$	−230.891	+	133.305i	−0.466446	+	0.269303i
$496$	−416.829	+	135.436i	−0.840382	+	0.273057i
$497$	−9.35946	+	245.964i	−0.0188319	+	0.494898i
$498$	290.373	+	210.969i	0.583079	+	0.423632i
$499$	−8.76744	−	3.90351i	−0.0175700	−	0.00782267i	0.397933	−	0.917415i	$-0.369728\pi$
$499$	−8.76744	−	3.90351i	−0.0175700	−	0.00782267i	−0.415503	+	0.909592i	$0.636394\pi$
$500$	−742.140	+	668.226i	−1.48428	+	1.33645i
$501$	−76.1160	+	131.837i	−0.151928	+	0.263147i
$502$	−44.7522	−	210.542i	−0.0891478	−	0.419407i
$503$	−435.389	−	141.467i	−0.865585	−	0.281246i	−0.157626	−	0.987499i	$-0.550384\pi$
$503$	−435.389	−	141.467i	−0.865585	−	0.281246i	−0.707959	+	0.706253i	$0.750384\pi$
$504$	−1278.99	+	674.931i	−2.53768	+	1.33915i
$505$	−241.789	−	175.670i	−0.478789	−	0.347861i
$506$	−21.7022	−	37.5893i	−0.0428897	−	0.0742871i
$507$	−60.8400	+	286.230i	−0.120000	+	0.564556i
$508$	174.615	+	1661.35i	0.343730	+	3.27037i
$509$	−67.6617	−	318.323i	−0.132931	−	0.625390i	−0.993285	−	0.115693i	$-0.963091\pi$
$509$	−67.6617	−	318.323i	−0.132931	−	0.625390i	0.860354	−	0.509697i	$-0.170242\pi$
$510$	−1159.38	+	1595.76i	−2.27330	+	3.12893i
$511$	−492.965	−	124.549i	−0.964707	−	0.243735i
$512$	432.813	−	314.457i	0.845337	−	0.614174i
$513$	−710.698	−	316.423i	−1.38538	−	0.616809i
$514$	1385.48	−	145.620i	2.69550	−	0.283308i
$515$	−372.600	+	165.892i	−0.723495	+	0.322121i
$516$	−120.971	−	569.123i	−0.234439	−	1.10295i
$517$	144.039	+	198.253i	0.278606	+	0.383468i
$518$	−840.876	−	529.101i	−1.62331	−	1.02143i
$519$	−117.183			−0.225787
$520$	49.0170	−	466.365i	0.0942634	−	0.896856i
$521$	20.9123	−	98.3847i	0.0401388	−	0.188838i	−0.953510	−	0.301360i	$-0.902559\pi$
$521$	20.9123	−	98.3847i	0.0401388	−	0.188838i	0.993649	+	0.112522i	$0.0358928\pi$
$522$	559.008	+	620.841i	1.07090	+	1.18935i
$523$	163.940	+	771.278i	0.313461	+	1.47472i	0.799439	+	0.600747i	$0.205130\pi$
$523$	163.940	+	771.278i	0.313461	+	1.47472i	−0.485978	+	0.873971i	$0.661537\pi$
$524$			13.9965i			0.0267108i
$525$	−51.1015	+	355.536i	−0.0973363	+	0.677211i
$526$	−332.255	+	241.397i	−0.631663	+	0.458930i
$527$	−150.813	+	1434.89i	−0.286172	+	2.72275i
$528$	−35.6317	+	167.634i	−0.0674844	+	0.317489i
$529$	505.935	+	107.540i	0.956399	+	0.203289i
$530$	1121.48	−	647.484i	2.11599	−	1.22167i
$531$	−93.8101	+	129.118i	−0.176667	+	0.243161i
$532$	−287.021	+	780.976i	−0.539513	+	1.46800i
$533$	430.954	+	64.0809i	0.808544	+	0.120227i
$534$	−726.133	−	1257.70i	−1.35980	−	2.35524i
$535$	127.979	+	287.446i	0.239213	+	0.537282i
$536$	−325.989	+	564.629i	−0.608188	+	1.05341i
$537$	−661.520	−	595.635i	−1.23188	−	1.10919i
$538$	−198.437	+	64.4762i	−0.368843	+	0.119844i
$539$	176.531	+	51.8166i	0.327517	+	0.0961347i
$540$	1117.52	−	811.929i	2.06949	−	1.50357i
$541$	15.3862	−	3.27044i	0.0284403	−	0.00604517i	−0.193670	−	0.981067i	$-0.562039\pi$
$541$	15.3862	−	3.27044i	0.0284403	−	0.00604517i	0.222110	+	0.975022i	$0.428706\pi$
$542$	1149.03	+	663.393i	2.11998	+	1.22397i
$543$	587.315	+	652.279i	1.08161	+	1.20125i
$544$	−94.8338	−	446.158i	−0.174327	−	0.820144i
$545$	−21.1503	+	6.87216i	−0.0388080	+	0.0126095i
$546$	−728.284	−	1087.04i	−1.33385	−	1.99092i
$547$	1066.73			1.95014			0.975072	−	0.221888i	$-0.0712221\pi$
$547$	1066.73			1.95014			0.975072	+	0.221888i	$0.0712221\pi$
$548$	−723.211	+	803.207i	−1.31973	+	1.46571i
$549$	581.250	−	61.0919i	1.05874	−	0.111278i
$550$	83.2688	+	92.4794i	0.151398	+	0.168144i
$551$	218.288	+	22.9430i	0.396166	+	0.0416388i
$552$	119.198	+	164.062i	0.215939	+	0.297214i
$553$	−584.660	−	568.144i	−1.05725	−	1.02738i
$554$	−936.867	+	680.674i	−1.69110	+	1.22865i
$555$	781.759	+	348.062i	1.40858	+	0.627138i
$556$	808.393	+	1815.68i	1.45394	+	3.26561i
$557$	−125.139	−	138.981i	−0.224666	−	0.249517i	0.620265	−	0.784393i	$-0.287025\pi$
$557$	−125.139	−	138.981i	−0.224666	−	0.249517i	−0.844931	+	0.534875i	$0.820359\pi$
$558$	1252.55	−	2813.28i	2.24472	−	5.04173i
$559$	153.069	−	49.7351i	0.273826	−	0.0889715i
$560$	−152.698	−	183.139i	−0.272675	−	0.327033i
$561$	456.423	+	331.611i	0.813588	+	0.591106i
$562$	307.416	−	341.420i	0.547003	−	0.607509i
$563$	452.514	−	407.445i	0.803754	−	0.723704i	−0.160972	−	0.986959i	$-0.551463\pi$
$563$	452.514	−	407.445i	0.803754	−	0.723704i	0.964726	+	0.263255i	$0.0847962\pi$
$564$	−1677.71	−	1863.29i	−2.97467	−	3.30371i
$565$	−379.583	+	219.152i	−0.671829	+	0.387880i
$566$	1442.50	+	468.695i	2.54858	+	0.828084i
$567$	149.757	−	592.740i	0.264122	−	1.04540i
$568$	−322.337	−	234.191i	−0.567495	−	0.412309i
$569$	−342.671	+	380.574i	−0.602233	+	0.668848i	−0.964762	−	0.263125i	$-0.915247\pi$
$569$	−342.671	+	380.574i	−0.602233	+	0.668848i	0.362528	+	0.931973i	$0.381914\pi$
$570$	229.972	−	1081.93i	0.403460	−	1.89813i
$571$	−219.321	+	379.874i	−0.384099	+	0.665279i	−0.991644	−	0.129006i	$-0.958821\pi$
$571$	−219.321	+	379.874i	−0.384099	+	0.665279i	0.607545	+	0.794285i	$0.292155\pi$
$572$	−292.115	−	30.7026i	−0.510691	−	0.0536758i
$573$		−	1045.48i		−	1.82458i
$574$	768.886	−	587.075i	1.33952	−	1.02278i
$575$	33.7226			0.0586480
$576$	−168.444	+	1602.63i	−0.292437	+	2.78235i
$577$	−383.814	−	221.595i	−0.665188	−	0.384047i	0.129063	−	0.991636i	$-0.458803\pi$
$577$	−383.814	−	221.595i	−0.665188	−	0.384047i	−0.794251	+	0.607590i	$0.792136\pi$
$578$	1780.58	+	378.475i	3.08059	+	0.654800i
$579$	613.850	+	552.713i	1.06019	+	0.954600i
$580$	−229.075	+	315.295i	−0.394957	+	0.543612i
$581$	38.9409	+	137.423i	0.0670239	+	0.236529i
$582$	−389.768	+	1199.58i	−0.669704	+	2.06114i
$583$	−185.195	−	320.768i	−0.317659	−	0.550202i
$584$	611.635	−	550.719i	1.04732	−	0.943011i
$585$	504.906	+	560.755i	0.863088	+	0.958556i
$586$	893.984	+	804.947i	1.52557	+	1.37363i
$587$	122.967	−	169.249i	0.209483	−	0.288329i	−0.691327	−	0.722542i	$-0.742974\pi$
$587$	122.967	−	169.249i	0.209483	−	0.288329i	0.900810	+	0.434213i	$0.142974\pi$
$588$	−1851.73	−	338.464i	−3.14920	−	0.575619i
$589$	−250.019	−	769.480i	−0.424481	−	1.30642i
$590$	−104.974	−	46.7373i	−0.177922	−	0.0792158i
$591$	357.445	−	321.845i	0.604814	−	0.544577i
$592$	336.446	−	149.796i	0.568321	−	0.253033i
$593$	−40.2969	+	90.5084i	−0.0679543	+	0.152628i	−0.944330	−	0.329001i	$-0.893288\pi$
$593$	−40.2969	+	90.5084i	−0.0679543	+	0.152628i	0.876375	+	0.481629i	$0.159955\pi$
$594$	−358.415	−	493.316i	−0.603393	−	0.830499i
$595$	−755.215	+	214.001i	−1.26927	+	0.359665i
$596$	−391.407	+	284.373i	−0.656722	+	0.477137i
$597$	91.2115	−	867.820i	0.152783	−	1.45363i
$598$	−91.2915	+	82.1992i	−0.152661	+	0.137457i
$599$	101.863	+	969.161i	0.170055	+	1.61796i	0.663492	+	0.748183i	$0.269074\pi$
$599$	101.863	+	969.161i	0.170055	+	1.61796i	−0.493437	+	0.869781i	$0.664260\pi$
$600$	−432.078	−	389.045i	−0.720131	−	0.648409i
$601$			1076.60i			1.79135i	0.444708	+	0.895675i	$0.353307\pi$
$601$			1076.60i			1.79135i	−0.444708	+	0.895675i	$0.646693\pi$
$602$	157.658	−	320.699i	0.261891	−	0.532722i
$603$	−324.192	−	997.761i	−0.537632	−	1.65466i
$604$	271.257	−	57.6574i	0.449101	−	0.0954593i
$605$	309.395	−	278.580i	0.511396	−	0.460463i
$606$	674.934	−	1169.02i	1.11375	−	1.92908i
$607$	−47.8834	−	225.274i	−0.0788853	−	0.371126i	0.920942	−	0.389699i	$-0.127421\pi$
$607$	−47.8834	−	225.274i	−0.0788853	−	0.371126i	−0.999828	+	0.0185730i	$0.994088\pi$
$608$	150.345	+	206.933i	0.247279	+	0.340350i
$609$	33.0897	+	495.465i	0.0543344	+	0.813572i
$610$	130.032	+	400.198i	0.213167	+	0.656062i
$611$	464.084	−	515.418i	0.759549	−	0.843565i
$612$	−3346.92	−	1932.35i	−5.46883	−	3.15743i
$613$	244.910	−	109.041i	0.399527	−	0.177881i	−0.197130	−	0.980377i	$-0.563162\pi$
$613$	244.910	−	109.041i	0.399527	−	0.177881i	0.596657	+	0.802496i	$0.296495\pi$
$614$	−485.120	+	280.084i	−0.790098	+	0.456163i
$615$	−583.601	+	594.756i	−0.948945	+	0.967083i
$616$	−228.731	+	190.712i	−0.371316	+	0.309598i
$617$	34.4227	+	25.0096i	0.0557905	+	0.0405342i	0.615331	−	0.788269i	$-0.289022\pi$
$617$	34.4227	+	25.0096i	0.0557905	+	0.0405342i	−0.559540	+	0.828803i	$0.689022\pi$
$618$	−921.076	−	1595.35i	−1.49041	−	2.58147i
$619$	−138.486	+	651.526i	−0.223726	+	1.05255i	0.712643	+	0.701527i	$0.247498\pi$
$619$	−138.486	+	651.526i	−0.223726	+	1.05255i	−0.936368	+	0.351019i	$0.885835\pi$
$620$	1405.21	+	298.686i	2.26646	+	0.481751i
$621$	−164.336	−	17.2724i	−0.264631	−	0.0278138i
$622$	−156.067	−	214.808i	−0.250911	−	0.345350i
$623$	82.2223	−	572.056i	0.131978	−	0.918228i
$624$	485.045			0.777315
$625$	276.320	−	58.7337i	0.442113	−	0.0939740i
$626$	−735.474	+	662.224i	−1.17488	+	1.05787i
$627$	−309.458	−	65.7773i	−0.493553	−	0.104908i
$628$	2233.69	+	234.770i	3.55683	+	0.373838i
$629$		−	1212.38i		−	1.92747i
$630$	1674.20	+	63.7067i	2.65746	+	0.101122i
$631$	−781.221	+	567.590i	−1.23807	+	0.899509i	−0.997468	−	0.0711153i	$-0.977344\pi$
$631$	−781.221	+	567.590i	−1.23807	+	0.899509i	−0.240600	+	0.970624i	$0.577344\pi$
$632$	1290.79	−	274.366i	2.04239	−	0.434123i
$633$	56.4657	+	126.824i	0.0892033	+	0.200354i
$634$	−209.085	−	1989.31i	−0.329787	−	3.13771i
$635$	359.452	−	807.341i	0.566065	−	1.27140i
$636$	2227.53	+	3065.93i	3.50240	+	4.82065i
$637$	39.5706	−	519.200i	0.0621202	−	0.815070i
$638$	139.183	+	101.122i	0.218155	+	0.158499i
$639$	627.111	−	133.297i	0.981395	−	0.208602i
$640$	−908.437	+	95.4806i	−1.41943	+	0.149188i
$641$	−615.004	−	130.723i	−0.959445	−	0.203936i	−0.298533	−	0.954399i	$-0.596497\pi$
$641$	−615.004	−	130.723i	−0.959445	−	0.203936i	−0.660912	+	0.750463i	$0.729831\pi$
$642$	−1230.75	+	710.574i	−1.91706	+	1.10681i
$643$	−409.523	+	563.659i	−0.636893	+	0.876609i	−0.998445	−	0.0557434i	$-0.982247\pi$
$643$	−409.523	+	563.659i	−0.636893	+	0.876609i	0.361552	+	0.932352i	$0.382247\pi$
$644$	−6.72009	+	176.602i	−0.0104349	+	0.274227i
$645$	−95.1183	+	292.744i	−0.147470	+	0.453867i
$646$	−1532.83	+	325.814i	−2.37281	+	0.504355i
$647$	−575.333	−	332.168i	−0.889231	−	0.513398i	−0.0155402	−	0.999879i	$-0.504947\pi$
$647$	−575.333	−	332.168i	−0.889231	−	0.513398i	−0.873691	+	0.486481i	$0.838280\pi$
$648$	662.183	+	735.428i	1.02189	+	1.13492i
$649$	−13.3680	+	30.0249i	−0.0205978	+	0.0462633i
$650$	207.021	−	284.940i	0.318494	−	0.438369i
$651$	1618.86	−	854.282i	2.48673	−	1.31226i
$652$	−56.7769	−	174.741i	−0.0870811	−	0.268008i
$653$	−76.2371	−	132.047i	−0.116749	−	0.202215i	0.801729	−	0.597688i	$-0.203914\pi$
$653$	−76.2371	−	132.047i	−0.116749	−	0.202215i	−0.918478	+	0.395473i	$0.870581\pi$
$654$	−40.8543	−	91.7602i	−0.0624683	−	0.140306i
$655$	3.70228	−	6.41253i	0.00565233	−	0.00979013i
$656$	22.1573	+	357.926i	0.0337764	+	0.545619i
$657$			1324.36i			2.01577i
$658$	−102.617	−	1536.53i	−0.155953	−	2.33515i
$659$	171.163			0.259732			0.129866	−	0.991532i	$-0.458545\pi$
$659$	171.163			0.259732			0.129866	+	0.991532i	$0.458545\pi$
$660$	375.883	−	417.460i	0.569519	−	0.632515i
$661$	84.5026	−	397.554i	0.127841	−	0.601443i	−0.866853	−	0.498563i	$-0.833861\pi$
$661$	84.5026	−	397.554i	0.127841	−	0.601443i	0.994694	−	0.102879i	$-0.0328056\pi$
$662$	−977.871	+	435.376i	−1.47715	+	0.657668i
$663$	649.452	−	1458.69i	0.979565	−	2.20014i
$664$	−219.889	−	71.4464i	−0.331159	−	0.107600i
$665$	338.080	−	281.886i	0.508390	−	0.423888i
$666$	−799.648	+	2461.06i	−1.20067	+	3.69529i
$667$	45.6017	−	9.69295i	0.0683684	−	0.0145322i
$668$	44.6489	−	210.056i	0.0668396	−	0.314456i
$669$	1336.22	−	594.923i	1.99734	−	0.889272i
$670$	654.140	−	377.668i	0.976328	−	0.563683i
$671$	114.466	−	37.1922i	0.170590	−	0.0554280i
$672$	−403.283	+	415.006i	−0.600123	+	0.617569i
$673$	−267.884	+	824.463i	−0.398045	+	1.22506i	0.528519	+	0.848921i	$0.322747\pi$
$673$	−267.884	+	824.463i	−0.398045	+	1.22506i	−0.926565	+	0.376136i	$0.877253\pi$
$674$	−36.9286	+	351.353i	−0.0547903	+	0.521295i
$675$	471.162	−	49.5211i	0.698017	−	0.0733646i
$676$	−43.1490	−	410.535i	−0.0638299	−	0.607301i
$677$	164.805	−	370.157i	0.243434	−	0.546761i	−0.749965	−	0.661478i	$-0.769930\pi$
$677$	164.805	−	370.157i	0.243434	−	0.546761i	0.993398	+	0.114717i	$0.0365962\pi$
$678$	−1163.61	−	1601.57i	−1.71624	−	2.36220i
$679$	−417.007	+	279.382i	−0.614149	+	0.411461i
$680$	392.636	−	1208.41i	0.577406	−	1.77707i
$681$	2010.85	+	895.289i	2.95279	+	1.31467i
$682$	131.851	−	620.309i	0.193330	−	0.909545i
$683$	−360.709	+	624.766i	−0.528124	+	0.914737i	0.471339	+	0.881952i	$0.343771\pi$
$683$	−360.709	+	624.766i	−0.528124	+	0.914737i	−0.999462	+	0.0327849i	$0.989562\pi$
$684$	2155.34	+	226.536i	3.15109	+	0.331193i
$685$	543.802	−	176.692i	0.793872	−	0.257945i
$686$	−765.520	−	866.405i	−1.11592	−	1.26298i
$687$	609.815	−	1876.82i	0.887649	−	2.73190i
$688$	66.2361	+	114.724i	0.0962733	+	0.166750i
$689$	−779.035	+	701.447i	−1.13068	+	1.01806i
$690$	−24.5580	−	233.654i	−0.0355913	−	0.338629i
$691$	497.340	+	52.2725i	0.719739	+	0.0756476i	0.457315	−	0.889305i	$-0.348811\pi$
$691$	497.340	+	52.2725i	0.719739	+	0.0756476i	0.262424	+	0.964953i	$0.415478\pi$
$692$	157.216	−	51.0827i	0.227191	−	0.0738189i
$693$	18.2216	−	478.860i	0.0262938	−	0.690995i
$694$	874.396			1.25994
$695$	109.907	−	1045.69i	0.158139	−	1.50459i
$696$	−696.107	−	401.897i	−1.00015	−	0.577439i
$697$	1106.07	+	412.611i	1.58690	+	0.591982i
$698$	−1314.12	+	758.706i	−1.88269	+	1.08697i
$699$	−861.108	+	1185.21i	−1.23191	+	1.69558i
$700$	−86.4263	−	499.273i	−0.123466	−	0.713247i
$701$	376.268	+	1158.03i	0.536759	+	1.65197i	0.739818	+	0.672808i	$0.234912\pi$
$701$	376.268	+	1158.03i	0.536759	+	1.65197i	−0.203059	+	0.979167i	$0.565088\pi$
$702$	−1154.79	+	1282.52i	−1.64500	+	1.82696i
$703$	276.527	+	621.090i	0.393353	+	0.883485i
$704$	34.6877	+	330.031i	0.0492723	+	0.468794i
$705$	275.782	+	1297.45i	0.391181	+	1.84036i
$706$		−	2030.96i		−	2.87672i
$707$	498.697	−	199.675i	0.705370	−	0.282425i
$708$	103.915	−	319.818i	0.146773	−	0.451720i
$709$	467.209	−	518.888i	0.658969	−	0.731859i	−0.317323	−	0.948318i	$-0.602784\pi$
$709$	467.209	−	518.888i	0.658969	−	0.731859i	0.976292	+	0.216459i	$0.0694506\pi$
$710$	187.747	+	421.687i	0.264433	+	0.593925i
$711$	−1061.72	+	1838.95i	−1.49327	+	2.58642i
$712$	695.213	+	625.973i	0.976423	+	0.879175i
$713$	−101.012	−	139.031i	−0.141671	−	0.194994i
$714$	−1317.81	−	3291.30i	−1.84568	−	4.60966i
$715$	125.712	+	91.3354i	0.175822	+	0.127742i
$716$	1147.16	+	510.750i	1.60218	+	0.713338i
$717$	−873.143	+	91.7710i	−1.21777	+	0.127993i
$718$	10.7050	+	101.851i	0.0149095	+	0.141854i
$719$	111.022	−	249.359i	0.154411	−	0.346813i	−0.819731	−	0.572749i	$-0.805877\pi$
$719$	111.022	−	249.359i	0.154411	−	0.346813i	0.974142	+	0.225935i	$0.0725438\pi$
$720$	−365.058	+	502.460i	−0.507026	+	0.697861i
$721$	104.296	−	725.635i	0.144655	−	1.00643i
$722$	−273.485	+	198.699i	−0.378788	+	0.275206i
$723$	−197.157	+	218.965i	−0.272692	+	0.302856i
$724$	−1072.30	−	619.093i	−1.48108	−	0.855101i
$725$	−122.108	+	54.3662i	−0.168425	+	0.0749878i
$726$	1397.42	+	1258.24i	1.92482	+	1.73311i
$727$	640.803	+	208.209i	0.881434	+	0.286395i	0.714553	−	0.699582i	$-0.246630\pi$
$727$	640.803	+	208.209i	0.881434	+	0.286395i	0.166882	+	0.985977i	$0.446630\pi$
$728$	662.561	+	520.994i	0.910111	+	0.715651i
$729$	670.483			0.919730
$730$	−932.676	+	198.246i	−1.27764	+	0.271570i
$731$	433.701	−	45.5838i	0.593298	−	0.0623582i
$732$	−1124.98	+	500.873i	−1.53686	+	0.684252i
$733$	518.075	+	466.477i	0.706787	+	0.636394i	0.942024	−	0.335544i	$-0.108920\pi$
$733$	518.075	+	466.477i	0.706787	+	0.636394i	−0.235238	+	0.971938i	$0.575587\pi$
$734$	−1999.74	+	649.754i	−2.72444	+	0.885223i
$735$	758.846	+	644.878i	1.03244	+	0.877385i
$736$	43.9533	+	31.9339i	0.0597192	+	0.0433885i
$737$	−108.022	−	187.099i	−0.146570	−	0.253866i
$738$	−1973.13	−	1567.11i	−2.67361	−	2.12346i
$739$	−318.825	+	552.222i	−0.431428	+	0.747256i	−0.996997	−	0.0774458i	$-0.975324\pi$
$739$	−318.825	+	552.222i	−0.431428	+	0.747256i	0.565568	+	0.824701i	$0.308657\pi$
$740$	−1200.56	−	126.184i	−1.62238	−	0.170519i
$741$			895.408i			1.20838i
$742$	−88.5053	+	2325.90i	−0.119279	+	3.13464i
$743$	262.864	+	809.013i	0.353788	+	1.08885i	0.956709	+	0.291046i	$0.0940032\pi$
$743$	262.864	+	809.013i	0.353788	+	1.08885i	−0.602922	+	0.797801i	$0.705997\pi$
$744$	−309.711	+	2946.70i	−0.416278	+	3.96062i
$745$	254.545	−	26.7538i	0.341672	−	0.0359111i
$746$	−324.970	−	360.916i	−0.435617	−	0.483801i
$747$	322.193	−	186.018i	0.431316	−	0.249021i
$748$	−756.906	−	245.934i	−1.01191	−	0.328788i
$749$	−559.799	−	80.4605i	−0.747395	−	0.107424i
$750$	737.375	+	2269.41i	0.983167	+	3.02588i
$751$	56.6116	−	538.624i	0.0753816	−	0.717208i	−0.889928	−	0.456101i	$-0.849246\pi$
$751$	56.6116	−	538.624i	0.0753816	−	0.717208i	0.965310	−	0.261108i	$-0.0840877\pi$
$752$	494.380	+	285.430i	0.657420	+	0.379562i
$753$	−325.961	−	69.2852i	−0.432883	−	0.0920122i
$754$	198.045	−	444.817i	0.262660	−	0.589943i
$755$	−139.529	−	45.3356i	−0.184806	−	0.0600471i
$756$	165.447	+	2477.30i	0.218845	+	3.27685i
$757$	−323.829	+	235.275i	−0.427779	+	0.310800i	−0.780760	−	0.624831i	$-0.785168\pi$
$757$	−323.829	+	235.275i	−0.427779	+	0.310800i	0.352981	+	0.935630i	$0.385168\pi$
$758$	−152.878	−	68.0656i	−0.201686	−	0.0897963i
$759$	−66.8304	+	7.02415i	−0.0880505	+	0.00925448i
$760$	74.4782	+	708.613i	0.0979977	+	0.932386i
$761$	−621.793	−	65.3531i	−0.817073	−	0.0858779i	−0.313235	−	0.949676i	$-0.601413\pi$
$761$	−621.793	−	65.3531i	−0.817073	−	0.0858779i	−0.503839	+	0.863798i	$0.668079\pi$
$762$	3796.18	+	1233.45i	4.98186	+	1.61870i
$763$	9.79137	−	38.7543i	0.0128327	−	0.0507920i
$764$	455.749	+	1402.65i	0.596530	+	1.83593i
$765$	1022.27	+	1770.62i	1.33630	+	2.31454i
$766$	−925.314	−	2078.29i	−1.20798	−	2.71317i
$767$	90.9870	+	19.3399i	0.118627	+	0.0252150i
$768$	−474.196	−	2230.92i	−0.617443	−	2.90484i
$769$	623.168	+	202.480i	0.810362	+	0.263303i	0.684751	−	0.728777i	$-0.259911\pi$
$769$	623.168	+	202.480i	0.810362	+	0.263303i	0.125611	+	0.992080i	$0.459911\pi$
$770$	339.962	−	58.8490i	0.441509	−	0.0764272i
$771$	666.493	−	2051.26i	0.864453	−	2.66051i
$772$	−1064.50	−	473.945i	−1.37888	−	0.613919i
$773$	−312.921	−	702.832i	−0.404813	−	0.909226i	−0.994803	−	0.101815i	$-0.967535\pi$
$773$	−312.921	−	702.832i	−0.404813	−	0.909226i	0.589990	−	0.807411i	$-0.299132\pi$
$774$	−910.458	−	193.524i	−1.17630	−	0.250031i
$775$	366.155	+	329.688i	0.472458	+	0.425403i
$776$		−	812.498i		−	1.04703i
$777$	−1277.84	+	856.112i	−1.64458	+	1.10182i
$778$	742.255			0.954056
$779$	−660.743	+	40.9031i	−0.848193	+	0.0525071i
$780$	−1376.88	−	794.941i	−1.76523	−	1.01916i
$781$	120.612	−	53.7000i	0.154433	−	0.0687580i
$782$	−288.259	+	166.427i	−0.368618	+	0.212822i
$783$	622.900	−	202.392i	0.795529	−	0.258483i
$784$	424.778	−	56.9919i	0.541809	−	0.0726937i
$785$	−961.272	−	698.405i	−1.22455	−	0.889688i
$786$	30.5522	+	13.6027i	0.0388705	+	0.0173062i
$787$	−136.370	+	122.788i	−0.173279	+	0.156021i	−0.751207	−	0.660067i	$-0.770528\pi$
$787$	−136.370	+	122.788i	−0.173279	+	0.156021i	0.577928	+	0.816088i	$0.303861\pi$
$788$	−339.259	+	587.614i	−0.430532	+	0.745703i
$789$	132.196	+	621.934i	0.167549	+	0.788256i
$790$	−1454.00	−	472.433i	−1.84051	−	0.598017i
$791$	29.9562	−	787.242i	0.0378713	−	0.995249i
$792$	627.546	+	455.939i	0.792356	+	0.575681i
$793$	−170.319	−	295.001i	−0.214778	−	0.372007i
$794$	459.084	−	2159.82i	0.578192	−	2.72018i
$795$	−209.565	−	1993.88i	−0.263604	−	2.50803i
$796$	255.929	+	1204.05i	0.321519	+	1.51263i
$797$	−219.895	+	302.659i	−0.275903	+	0.379748i	−0.924371	−	0.381494i	$-0.875410\pi$
$797$	−219.895	+	302.659i	−0.275903	+	0.379748i	0.648469	+	0.761241i	$0.275410\pi$
$798$	1425.81	+	1385.53i	1.78673	+	1.73625i
$799$	1520.34	−	1104.59i	1.90280	−	1.38246i
$800$	−142.299	−	63.3557i	−0.177874	−	0.0791946i
$801$	−1497.09	+	157.350i	−1.86902	+	0.196442i
$802$	−0.723795	+	0.322254i	−0.000902488	+	0.000401814i
$803$	56.7031	+	266.767i	0.0706140	+	0.332213i
$804$	1299.28	+	1788.31i	1.61603	+	2.22427i
$805$	49.7928	−	79.1335i	0.0618544	−	0.0983024i
$806$	−1794.85			−2.22686
$807$	−33.7659	+	321.261i	−0.0418412	+	0.398093i
$808$	−180.788	+	850.540i	−0.223747	+	1.05265i
$809$	−350.901	−	389.715i	−0.433747	−	0.481724i	0.486156	−	0.873872i	$-0.338399\pi$
$809$	−350.901	−	389.715i	−0.433747	−	0.481724i	−0.919902	+	0.392148i	$0.871732\pi$
$810$	−238.371	−	1121.45i	−0.294285	−	1.38450i
$811$		−	1053.09i		−	1.29851i	−0.760570	−	0.649256i	$-0.775081\pi$
$811$		−	1053.09i		−	1.29851i	0.760570	−	0.649256i	$-0.224919\pi$
$812$	−260.378	−	650.305i	−0.320662	−	0.800869i
$813$	1661.82	−	1207.39i	2.04406	−	1.48510i
$814$	−55.7022	+	529.971i	−0.0684302	+	0.651070i
$815$	−20.2092	+	95.0767i	−0.0247965	+	0.116659i
$816$	1285.53	+	273.248i	1.57540	+	0.334862i
$817$	−211.784	+	122.274i	−0.259222	+	0.149662i
$818$	730.189	−	1005.02i	0.892652	−	1.22863i
$819$	−1336.39	+	231.336i	−1.63174	+	0.282461i
$820$	523.709	−	1052.35i	0.638670	−	1.28335i
$821$	171.250	+	296.614i	0.208587	+	0.361284i	0.951270	−	0.308360i	$-0.0997801\pi$
$821$	171.250	+	296.614i	0.208587	+	0.361284i	−0.742682	+	0.669644i	$0.766447\pi$
$822$	1050.42	+	2359.27i	1.27788	+	2.87016i
$823$	−22.7932	+	39.4790i	−0.0276953	+	0.0479697i	−0.879541	−	0.475823i	$-0.842150\pi$
$823$	−22.7932	+	39.4790i	−0.0276953	+	0.0479697i	0.851846	+	0.523793i	$0.175483\pi$
$824$	881.856	+	794.027i	1.07021	+	0.963625i
$825$	183.233	−	59.5361i	0.222101	−	0.0721649i
$826$	171.587	−	114.958i	0.207732	−	0.139174i
$827$	−762.643	+	554.093i	−0.922181	+	0.670003i	−0.944066	−	0.329757i	$-0.893033\pi$
$827$	−762.643	+	554.093i	−0.922181	+	0.670003i	0.0218852	+	0.999760i	$0.493033\pi$
$828$	450.266	−	95.7069i	0.543799	−	0.115588i
$829$	453.410	+	261.777i	0.546937	+	0.315774i	0.747885	−	0.663828i	$-0.231069\pi$
$829$	453.410	+	261.777i	0.546937	+	0.315774i	−0.200949	+	0.979602i	$0.564403\pi$
$830$	179.232	+	199.058i	0.215943	+	0.239829i
$831$	372.757	+	1753.68i	0.448564	+	2.11033i
$832$	893.245	−	290.233i	1.07361	−	0.348838i
$833$	397.364	−	1353.76i	0.477027	−	1.62516i
$834$	4749.01			5.69426
$835$	−76.0192	+	84.4278i	−0.0910409	+	0.101111i
$836$	443.851	−	46.6506i	0.530922	−	0.0558022i
$837$	−1615.47	−	1794.16i	−1.93007	−	2.14356i
$838$	1327.72	+	139.549i	1.58439	+	0.166526i
$839$	451.806	+	621.857i	0.538505	+	0.741188i	0.988397	−	0.151895i	$-0.0485375\pi$
$839$	451.806	+	621.857i	0.538505	+	0.741188i	−0.449892	+	0.893083i	$0.648537\pi$
$840$	−1550.92	+	439.474i	−1.84633	+	0.523183i
$841$	530.887	−	385.712i	0.631257	−	0.458635i
$842$	−1083.61	−	482.454i	−1.28695	−	0.572985i
$843$	−289.304	−	649.788i	−0.343184	−	0.770804i
$844$	−131.041	−	145.536i	−0.155262	−	0.172436i
$845$	−88.8239	+	199.502i	−0.105117	+	0.236097i
$846$	−3814.76	+	1239.49i	−4.50918	+	1.46512i
$847$	127.639	+	737.351i	0.150695	+	0.870544i
$848$	−698.048	−	507.162i	−0.823170	−	0.598068i
$849$	1571.25	−	1745.05i	1.85071	−	2.05542i
$850$	709.193	−	638.560i	0.834345	−	0.751247i
$851$	96.6268	+	107.315i	0.113545	+	0.126105i
$852$	−1169.87	+	675.423i	−1.37308	+	0.792750i
$853$	−563.169	−	182.985i	−0.660221	−	0.214519i	−0.0403055	−	0.999187i	$-0.512833\pi$
$853$	−563.169	−	182.985i	−0.660221	−	0.214519i	−0.619915	+	0.784669i	$0.712833\pi$
$854$	−733.293	−	185.268i	−0.858657	−	0.216942i
$855$	−927.557	−	673.909i	−1.08486	−	0.788198i
$856$	612.561	−	680.317i	0.715608	−	0.794763i
$857$	−206.591	+	971.933i	−0.241063	+	1.13411i	0.676476	+	0.736465i	$0.263506\pi$
$857$	−206.591	+	971.933i	−0.241063	+	1.13411i	−0.917539	+	0.397647i	$0.869827\pi$
$858$	−350.917	+	607.805i	−0.408994	+	0.708398i
$859$	−1203.27	−	126.469i	−1.40078	−	0.147228i	−0.626180	−	0.779679i	$-0.715382\pi$
$859$	−1203.27	−	126.469i	−1.40078	−	0.147228i	−0.774600	+	0.632451i	$0.782049\pi$
$860$		−	434.218i		−	0.504905i
$861$	−346.155	−	1457.16i	−0.402038	−	1.69240i
$862$	2810.23			3.26013
$863$	−130.070	+	1237.54i	−0.150719	+	1.43399i	0.613836	+	0.789434i	$0.289626\pi$
$863$	−130.070	+	1237.54i	−0.150719	+	1.43399i	−0.764554	+	0.644559i	$0.777041\pi$
$864$	660.996	+	381.626i	0.765042	+	0.441697i
$865$	−85.5414	−	18.1824i	−0.0988918	−	0.0210201i
$866$	−1047.02	−	942.743i	−1.20903	−	1.08862i
$867$	1656.54	−	2280.04i	1.91066	−	2.62980i
$868$	−1799.51	+	1851.82i	−2.07317	+	2.13344i
$869$	−135.127	+	415.878i	−0.155497	+	0.478570i
$870$	465.611	+	806.461i	0.535185	+	0.926967i
$871$	−454.400	+	409.144i	−0.521699	+	0.469740i
$872$	43.2946	+	48.0835i	0.0496498	+	0.0551417i
$873$	971.592	+	874.825i	1.11293	+	1.00209i
$874$	109.713	−	151.007i	0.125530	−	0.172777i
$875$	−327.570	+	891.309i	−0.374366	+	1.01864i
$876$	−862.292	−	2653.86i	−0.984352	−	3.02952i
$877$	1254.69	+	558.624i	1.43066	+	0.636971i	0.968316	−	0.249729i	$-0.0803416\pi$
$877$	1254.69	+	558.624i	1.43066	+	0.636971i	0.462345	+	0.886700i	$0.347008\pi$
$878$	917.005	−	825.675i	1.04442	−	0.940404i
$879$	1701.42	−	757.523i	1.93564	−	0.861801i
$880$	−52.0209	+	116.841i	−0.0591147	+	0.132774i
$881$	−637.786	−	877.837i	−0.723934	−	0.996410i	−0.999384	−	0.0350944i	$-0.988827\pi$
$881$	−637.786	−	877.837i	−0.723934	−	0.996410i	0.275450	−	0.961315i	$-0.411173\pi$
$882$	−1699.53	+	2485.98i	−1.92691	+	2.81857i
$883$	−757.422	+	550.299i	−0.857782	+	0.623215i	−0.927281	−	0.374367i	$-0.877860\pi$
$883$	−757.422	+	550.299i	−0.857782	+	0.623215i	0.0694985	+	0.997582i	$0.477860\pi$
$884$	−235.447	+	2240.13i	−0.266343	+	2.53409i
$885$	−132.206	+	119.038i	−0.149385	+	0.134507i
$886$	−9.97912	−	94.9449i	−0.0112631	−	0.107161i
$887$	−611.296	−	550.413i	−0.689172	−	0.620533i	0.248263	−	0.968693i	$-0.420140\pi$
$887$	−611.296	−	550.413i	−0.689172	−	0.620533i	−0.937435	+	0.348159i	$0.886807\pi$
$888$		−	2489.75i		−	2.80377i
$889$	884.127	+	1319.65i	0.994518	+	1.48443i
$890$	−334.915	−	1030.76i	−0.376309	−	1.15816i
$891$	−320.760	+	68.1796i	−0.360000	+	0.0765203i
$892$	−1533.37	+	1380.65i	−1.71902	+	1.54782i
$893$	−526.913	+	912.640i	−0.590048	+	1.02199i
$894$	240.349	+	1130.75i	0.268847	+	1.26483i
$895$	−390.476	−	537.444i	−0.436286	−	0.600496i
$896$	724.339	−	1473.40i	0.808414	−	1.64442i
$897$	58.7713	+	180.880i	0.0655199	+	0.201649i
$898$	881.760	−	979.293i	0.981915	−	1.09053i
$899$	589.900	+	340.579i	0.656173	+	0.378842i
$900$	−1205.68	+	536.805i	−1.33965	+	0.596449i
$901$	−2459.86	+	1420.20i	−2.73014	+	1.57625i
$902$	−464.544	−	231.185i	−0.515016	−	0.256302i
$903$	−354.301	−	424.931i	−0.392359	−	0.470576i
$904$	1031.68	+	749.561i	1.14124	+	0.829160i
$905$	327.519	+	567.280i	0.361899	+	0.626828i
$906$	137.768	−	648.148i	0.152062	−	0.715395i
$907$	−424.146	−	90.1550i	−0.467636	−	0.0993991i	−0.0319338	−	0.999490i	$-0.510167\pi$
$907$	−424.146	−	90.1550i	−0.467636	−	0.0993991i	−0.435702	+	0.900091i	$0.643500\pi$
$908$	−3088.09	−	324.572i	−3.40098	−	0.357458i
$909$	−822.426	−	1131.97i	−0.904759	−	1.24529i
$910$	−362.965	−	906.521i	−0.398862	−	0.996177i
$911$	603.836			0.662828			0.331414	−	0.943486i	$-0.392474\pi$
$911$	603.836			0.662828			0.331414	+	0.943486i	$0.392474\pi$
$912$	−720.890	+	153.230i	−0.790450	+	0.168015i
$913$	56.9351	−	51.2646i	0.0623605	−	0.0561496i
$914$	−460.062	−	97.7892i	−0.503350	−	0.106990i
$915$	647.901	+	68.0972i	0.708089	+	0.0744231i
$916$			2783.82i			3.03911i
$917$	6.21141	+	11.7706i	0.00677363	+	0.0128360i
$918$	−3783.07	+	2748.56i	−4.12100	+	2.99408i
$919$	−817.163	+	173.693i	−0.889187	+	0.189003i	−0.629788	−	0.776767i	$-0.716858\pi$
$919$	−817.163	+	173.693i	−0.889187	+	0.189003i	−0.259400	+	0.965770i	$0.583525\pi$
$920$	61.5560	+	138.257i	0.0669087	+	0.150279i
$921$	90.6524	+	862.500i	0.0984283	+	0.936483i
$922$	205.236	−	460.968i	0.222599	−	0.499965i
$923$	−219.636	−	302.303i	−0.237959	−	0.327522i
$924$	275.272	+	971.441i	0.297913	+	1.05134i
$925$	−334.952	−	243.357i	−0.362110	−	0.263089i
$926$	−42.3115	+	8.99358i	−0.0456927	+	0.00971229i
$927$	−1899.01	+	199.594i	−2.04855	+	0.215311i
$928$	−210.636	−	44.7721i	−0.226979	−	0.0482458i
$929$	884.226	−	510.508i	0.951804	−	0.549524i	0.0581632	−	0.998307i	$-0.481476\pi$
$929$	884.226	−	510.508i	0.951804	−	0.549524i	0.893641	+	0.448783i	$0.148142\pi$
$930$	2017.66	−	2777.07i	2.16953	−	2.98610i
$931$	105.209	+	784.153i	0.113006	+	0.842270i
$932$	638.626	−	1965.49i	0.685222	−	2.10890i
$933$	−402.089	+	85.4667i	−0.430964	+	0.0916042i
$934$	928.710	+	536.191i	0.994336	+	0.574080i
$935$	281.726	+	312.889i	0.301311	+	0.334640i
$936$	892.946	−	2005.59i	0.954002	−	2.14272i
$937$	−187.519	+	258.098i	−0.200127	+	0.275451i	−0.897271	−	0.441480i	$-0.854454\pi$
$937$	−187.519	+	258.098i	−0.200127	+	0.275451i	0.697144	+	0.716931i	$0.254454\pi$
$938$	−51.6238	+	1356.66i	−0.0550361	+	1.44634i
$939$	473.481	+	1457.22i	0.504239	+	1.55189i
$940$	−935.585	−	1620.48i	−0.995303	−	1.72392i
$941$	617.185	+	1386.22i	0.655882	+	1.47314i	0.868342	+	0.495966i	$0.165186\pi$
$941$	617.185	+	1386.22i	0.655882	+	1.47314i	−0.212459	+	0.977170i	$0.568147\pi$
$942$	2683.32	−	4647.64i	2.84853	−	4.93380i
$943$	−130.791	+	51.6315i	−0.138696	+	0.0547524i
$944$			76.5630i			0.0811049i
$945$	579.484	−	1178.75i	0.613210	−	1.24735i
$946$	−191.680			−0.202621
$947$	245.179	−	272.298i	0.258900	−	0.287538i	−0.599655	−	0.800258i	$-0.704696\pi$
$947$	245.179	−	272.298i	0.258900	−	0.287538i	0.858556	+	0.512720i	$0.171362\pi$
$948$	930.214	−	4376.31i	0.981238	−	4.61636i
$949$	705.150	−	313.953i	0.743045	−	0.330825i
$950$	−217.666	+	488.887i	−0.229123	+	0.514618i
$951$	−2945.24	−	956.965i	−3.09699	−	1.00627i
$952$	1462.51	+	1754.06i	1.53625	+	1.84250i
$953$	138.911	−	427.525i	0.145762	−	0.448609i	−0.851346	−	0.524604i	$-0.824213\pi$
$953$	138.911	−	427.525i	0.145762	−	0.448609i	0.997108	+	0.0759950i	$0.0242133\pi$
$954$	5930.12	−	1260.49i	6.21606	−	1.32126i
$955$	162.219	−	763.182i	0.169863	−	0.799144i
$956$	1131.43	−	503.744i	1.18350	−	0.526929i
$957$	230.667	−	133.175i	0.241031	−	0.139159i
$958$	−244.429	+	79.4198i	−0.255145	+	0.0829017i
$959$	−251.749	+	996.424i	−0.262512	+	1.03902i
$960$	−555.070	+	1708.33i	−0.578198	+	1.77951i
$961$	162.005	−	1541.38i	0.168580	−	1.60393i
$962$	1499.95	−	157.651i	1.55919	−	0.163878i
$963$	153.979	+	1465.01i	0.159895	+	1.52130i
$964$	169.059	−	379.714i	0.175373	−	0.393894i
$965$	362.338	+	498.716i	0.375480	+	0.516804i
$966$	378.965	+	186.303i	0.392304	+	0.192860i
$967$	320.269	−	985.685i	0.331198	−	1.01932i	−0.637367	−	0.770561i	$-0.719976\pi$
$967$	320.269	−	985.685i	0.331198	−	1.01932i	0.968565	−	0.248762i	$-0.0800237\pi$
$968$	−1106.58	−	492.680i	−1.14316	−	0.508967i
$969$	−504.424	+	2373.13i	−0.520561	+	2.44905i
$970$	−470.652	+	815.193i	−0.485208	+	0.840406i
$971$	−830.244	−	87.2622i	−0.855040	−	0.0898684i	−0.333143	−	0.942876i	$-0.608109\pi$
$971$	−830.244	−	87.2622i	−0.855040	−	0.0898684i	−0.521898	+	0.853008i	$0.674776\pi$
$972$	155.036	−	50.3743i	0.159502	−	0.0518255i
$973$	1485.61	+	1168.18i	1.52683	+	1.20060i
$974$	440.017	−	1354.23i	0.451763	−	1.39038i
$975$	−272.641	−	472.228i	−0.279632	−	0.484337i
$976$	208.358	−	187.607i	0.213482	−	0.192220i
$977$	127.423	+	1212.35i	0.130423	+	1.24089i	0.842463	+	0.538754i	$0.181105\pi$
$977$	127.423	+	1212.35i	0.130423	+	1.24089i	−0.712040	+	0.702139i	$0.752228\pi$
$978$	−436.614	−	45.8900i	−0.446435	−	0.0469222i
$979$	−294.822	+	95.7934i	−0.301146	+	0.0978482i
$980$	−1299.21	−	534.389i	−1.32572	−	0.545295i
$981$	−104.114			−0.106131
$982$	49.7098	−	472.957i	0.0506210	−	0.481627i
$983$	364.524	+	210.458i	0.370828	+	0.214098i	0.673820	−	0.738895i	$-0.264652\pi$
$983$	364.524	+	210.458i	0.370828	+	0.214098i	−0.302992	+	0.952993i	$0.597986\pi$
$984$	2271.44	+	847.342i	2.30837	+	0.861120i
$985$	310.866	−	179.478i	0.315600	−	0.182212i
$986$	775.471	−	1067.34i	0.786482	−	1.08250i
$987$	−2237.81	−	822.429i	−2.26728	−	0.833262i
$988$	−390.327	−	1201.30i	−0.395068	−	1.21589i
$989$	−34.7565	+	38.6010i	−0.0351431	+	0.0390304i
$990$	−365.518	−	820.967i	−0.369210	−	0.829260i
$991$	1.45313	+	13.8256i	0.00146633	+	0.0139512i	0.995231	−	0.0975503i	$-0.0311007\pi$
$991$	1.45313	+	13.8256i	0.00146633	+	0.0139512i	−0.993764	+	0.111501i	$0.964434\pi$
$992$	165.038	+	776.442i	0.166369	+	0.782704i
$993$			1657.21i			1.66889i
$994$	−821.232	−	118.037i	−0.826189	−	0.118749i
$995$	201.235	−	619.338i	0.202246	−	0.622450i
$996$	−524.520	+	582.538i	−0.526626	+	0.584878i
$997$	4.04997	+	9.09639i	0.00406216	+	0.00912376i	0.915565	−	0.402170i	$-0.131744\pi$
$997$	4.04997	+	9.09639i	0.00406216	+	0.00912376i	−0.911503	+	0.411293i	$0.865077\pi$
$998$	16.1745	−	28.0151i	0.0162070	−	0.0280713i
$999$	1507.63	+	1357.48i	1.50914	+	1.35884i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	287.3.y.a.10.5	✓	432
7.5	odd	6	inner	287.3.y.a.215.50	yes	432
41.37	even	5	inner	287.3.y.a.283.50	yes	432
287.201	odd	30	inner	287.3.y.a.201.5	yes	432

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
287.3.y.a.10.5	✓	432	1.1	even	1	trivial
287.3.y.a.201.5	yes	432	287.201	odd	30	inner
287.3.y.a.215.50	yes	432	7.5	odd	6	inner
287.3.y.a.283.50	yes	432	41.37	even	5	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 287 = 7 \cdot 41 \)
Weight:	\( k \)	\(=\)	\( 3 \)
Character orbit:	\([\chi]\)	\(=\)	287.y (of order \(30\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.352334 + 3.35223i) q^{2} +(4.51935 + 2.60925i) q^{3} +(-7.20072 - 1.53056i) q^{4} +(2.89418 + 2.60593i) q^{5} +(-10.3391 + 14.2306i) q^{6} +(-6.73483 + 1.90841i) q^{7} +(3.50144 - 10.7763i) q^{8} +(9.11637 + 15.7900i) q^{9} +O(q^{10})\)	\(q+(-0.352334 + 3.35223i) q^{2} +(4.51935 + 2.60925i) q^{3} +(-7.20072 - 1.53056i) q^{4} +(2.89418 + 2.60593i) q^{5} +(-10.3391 + 14.2306i) q^{6} +(-6.73483 + 1.90841i) q^{7} +(3.50144 - 10.7763i) q^{8} +(9.11637 + 15.7900i) q^{9} +(-9.75540 + 8.78380i) q^{10} +(2.51237 + 2.79027i) q^{11} +(-28.5490 - 25.7056i) q^{12} +(6.24618 - 8.59714i) q^{13} +(-4.02452 - 23.2491i) q^{14} +(6.28029 + 19.3288i) q^{15} +(7.99043 + 3.55757i) q^{16} +(21.3976 - 19.2665i) q^{17} +(-56.1438 + 24.9968i) q^{18} +(-6.56738 + 14.7506i) q^{19} +(-16.8516 - 23.1943i) q^{20} +(-35.4166 - 8.94808i) q^{21} +(-10.2388 + 7.43893i) q^{22} +(-0.358489 + 3.41079i) q^{23} +(43.9423 - 39.5658i) q^{24} +(-1.02781 - 9.77899i) q^{25} +(26.6188 + 23.9677i) q^{26} +48.1810i q^{27} +(51.4166 - 3.43386i) q^{28} +(-4.20067 - 12.9283i) q^{29} +(-67.0072 + 14.2428i) q^{30} +(-37.2379 + 33.5292i) q^{31} +(7.92068 - 13.7190i) q^{32} +(4.07378 + 19.1656i) q^{33} +(57.0466 + 78.5179i) q^{34} +(-24.4650 - 12.0272i) q^{35} +(-41.4768 - 127.653i) q^{36} +(28.1745 - 31.2910i) q^{37} +(-47.1334 - 27.2125i) q^{38} +(50.6608 - 22.5556i) q^{39} +(38.2161 - 22.0641i) q^{40} +(18.9586 + 36.3534i) q^{41} +(42.4745 - 115.572i) q^{42} +(12.2530 + 8.90232i) q^{43} +(-13.8202 - 23.9373i) q^{44} +(-14.7633 + 69.4557i) q^{45} +(-11.3075 - 2.40348i) q^{46} +(64.9089 + 6.82220i) q^{47} +(26.8290 + 36.9269i) q^{48} +(41.7159 - 25.7056i) q^{49} +33.1436 q^{50} +(146.974 - 31.2404i) q^{51} +(-58.1355 + 52.3454i) q^{52} +(-96.4921 - 20.5100i) q^{53} +(-161.514 - 16.9758i) q^{54} +14.6226i q^{55} +(-3.01596 + 79.2588i) q^{56} +(-68.1683 + 49.5272i) q^{57} +(44.8187 - 9.52652i) q^{58} +(3.56035 + 7.99667i) q^{59} +(-15.6388 - 148.793i) q^{60} +(13.0380 - 29.2838i) q^{61} +(-99.2773 - 136.644i) q^{62} +(-91.5310 - 88.9453i) q^{63} +(71.5033 + 51.9502i) q^{64} +(40.4811 - 8.60453i) q^{65} +(-65.6828 + 6.90355i) q^{66} +(-56.2825 - 11.9632i) q^{67} +(-183.567 + 105.982i) q^{68} +(-10.5198 + 14.4792i) q^{69} +(48.9379 - 77.7747i) q^{70} +(10.8660 - 33.4422i) q^{71} +(202.078 - 42.9531i) q^{72} +(62.9051 + 36.3183i) q^{73} +(94.9677 + 105.472i) q^{74} +(20.8708 - 46.8765i) q^{75} +(69.8665 - 96.1630i) q^{76} +(-22.2454 - 13.9974i) q^{77} +(57.7622 + 177.774i) q^{78} +(58.2313 + 100.860i) q^{79} +(13.8550 + 31.1188i) q^{80} +(-43.6690 + 75.6369i) q^{81} +(-128.545 + 50.7450i) q^{82} -20.4049i q^{83} +(241.329 + 118.640i) q^{84} +112.136 q^{85} +(-34.1598 + 37.9383i) q^{86} +(14.7489 - 69.3882i) q^{87} +(38.8657 - 17.3041i) q^{88} +(-33.5810 + 75.4242i) q^{89} +(-227.630 - 73.9615i) q^{90} +(-25.6601 + 69.8206i) q^{91} +(7.80180 - 24.0115i) q^{92} +(-255.777 + 54.3671i) q^{93} +(-45.7392 + 215.186i) q^{94} +(-57.4462 + 25.5767i) q^{95} +(71.5927 - 41.3341i) q^{96} +(68.1969 - 22.1585i) q^{97} +(71.4733 + 148.898i) q^{98} +(-21.1547 + 65.1074i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 432 q - 3 q^{2} - 24 q^{3} + 101 q^{4} - 9 q^{5} - 6 q^{7} - 16 q^{8} + 576 q^{9}+O(q^{10}) \) 432 * q - 3 * q^2 - 24 * q^3 + 101 * q^4 - 9 * q^5 - 6 * q^7 - 16 * q^8 + 576 * q^9	\( 432 q - 3 q^{2} - 24 q^{3} + 101 q^{4} - 9 q^{5} - 6 q^{7} - 16 q^{8} + 576 q^{9} + 72 q^{10} - 11 q^{11} - 33 q^{12} + 182 q^{14} - 54 q^{15} + 197 q^{16} - 63 q^{17} + 48 q^{18} + 63 q^{19} - 26 q^{21} - 52 q^{22} - 24 q^{23} - 510 q^{24} - 253 q^{25} - 159 q^{26} - 65 q^{28} + 152 q^{29} - 131 q^{30} - 45 q^{31} + 94 q^{32} + 36 q^{33} + 84 q^{35} + 474 q^{36} - 46 q^{37} - 6 q^{38} + 74 q^{39} + 258 q^{40} - 220 q^{42} - 88 q^{43} + 128 q^{44} - 156 q^{45} - 82 q^{46} - 309 q^{47} - 338 q^{49} + 704 q^{50} + 66 q^{51} + 291 q^{52} + 68 q^{53} + 483 q^{54} - 182 q^{56} + 114 q^{57} + 159 q^{58} - 207 q^{59} + 430 q^{60} + 423 q^{61} - 172 q^{63} - 896 q^{64} + 204 q^{65} - 1560 q^{66} + 33 q^{67} - 1242 q^{68} + 707 q^{70} - 162 q^{71} - 41 q^{72} - 78 q^{73} - 439 q^{74} - 1452 q^{75} + 164 q^{77} - 222 q^{78} - 138 q^{79} - 27 q^{80} - 928 q^{81} + 165 q^{82} - 543 q^{84} + 156 q^{85} + 609 q^{86} - 588 q^{87} + 394 q^{88} - 1161 q^{89} - 950 q^{91} + 482 q^{92} - 45 q^{93} + 1779 q^{94} - 475 q^{95} + 2412 q^{96} - 1100 q^{98} + 932 q^{99}+O(q^{100}) \) 432 * q - 3 * q^2 - 24 * q^3 + 101 * q^4 - 9 * q^5 - 6 * q^7 - 16 * q^8 + 576 * q^9 + 72 * q^10 - 11 * q^11 - 33 * q^12 + 182 * q^14 - 54 * q^15 + 197 * q^16 - 63 * q^17 + 48 * q^18 + 63 * q^19 - 26 * q^21 - 52 * q^22 - 24 * q^23 - 510 * q^24 - 253 * q^25 - 159 * q^26 - 65 * q^28 + 152 * q^29 - 131 * q^30 - 45 * q^31 + 94 * q^32 + 36 * q^33 + 84 * q^35 + 474 * q^36 - 46 * q^37 - 6 * q^38 + 74 * q^39 + 258 * q^40 - 220 * q^42 - 88 * q^43 + 128 * q^44 - 156 * q^45 - 82 * q^46 - 309 * q^47 - 338 * q^49 + 704 * q^50 + 66 * q^51 + 291 * q^52 + 68 * q^53 + 483 * q^54 - 182 * q^56 + 114 * q^57 + 159 * q^58 - 207 * q^59 + 430 * q^60 + 423 * q^61 - 172 * q^63 - 896 * q^64 + 204 * q^65 - 1560 * q^66 + 33 * q^67 - 1242 * q^68 + 707 * q^70 - 162 * q^71 - 41 * q^72 - 78 * q^73 - 439 * q^74 - 1452 * q^75 + 164 * q^77 - 222 * q^78 - 138 * q^79 - 27 * q^80 - 928 * q^81 + 165 * q^82 - 543 * q^84 + 156 * q^85 + 609 * q^86 - 588 * q^87 + 394 * q^88 - 1161 * q^89 - 950 * q^91 + 482 * q^92 - 45 * q^93 + 1779 * q^94 - 475 * q^95 + 2412 * q^96 - 1100 * q^98 + 932 * q^99

Introduction

L-functions

Modular forms

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