LMFDB - Embedded newform 207.4.o.a.11.22

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [207,4,Mod(5,207)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(207, base_ring=CyclotomicField(66))

chi = DirichletCharacter(H, H._module([55, 3]))

N = Newforms(chi, 4, names="a")

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

chi := DirichletCharacter("207.5");

S:= CuspForms(chi, 4);

N := Newforms(S);

Level:	$ N $	$=$	$ 207 = 3^{2} \cdot 23 $
Weight:	$ k $	$=$	$ 4 $
Character orbit:	$[\chi]$	$=$	207.o (of order $66$, degree $20$, 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:	$12.2133953712$
Analytic rank:	$0$
Dimension:	$1400$
Relative dimension:	$70$ over $\Q(\zeta_{66})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{66}]$

Embedding invariants

Embedding label			11.22
Character	$\chi$	$=$	207.11
Dual form			207.4.o.a.113.22

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-2.50996 + 0.119564i) q^{2} +(-4.40022 - 2.76370i) q^{3} +(-1.67815 + 0.160244i) q^{4} +(-8.89914 - 8.48531i) q^{5} +(11.3748 + 6.41068i) q^{6} +(4.83275 + 25.0747i) q^{7} +(24.0908 - 3.46374i) q^{8} +(11.7239 + 24.3218i) q^{9} +(23.3511 + 20.2338i) q^{10} +(39.5179 - 20.3729i) q^{11} +(7.82711 + 3.93280i) q^{12} +(21.9694 + 4.23426i) q^{13} +(-15.1281 - 62.3587i) q^{14} +(15.7073 + 61.9318i) q^{15} +(-46.8103 + 9.02195i) q^{16} +(-1.38454 - 3.03172i) q^{17} +(-32.3346 - 59.6451i) q^{18} +(-120.500 - 55.0307i) q^{19} +(16.2938 + 12.8136i) q^{20} +(48.0338 - 123.690i) q^{21} +(-96.7526 + 55.8601i) q^{22} +(6.54965 + 110.110i) q^{23} +(-115.578 - 51.3386i) q^{24} +(1.24641 + 26.1655i) q^{25} +(-55.6488 - 8.00108i) q^{26} +(15.6304 - 139.423i) q^{27} +(-12.1282 - 41.3047i) q^{28} +(-12.3419 + 129.250i) q^{29} +(-46.8296 - 153.569i) q^{30} +(-18.4210 + 14.4864i) q^{31} +(-72.8062 + 17.6626i) q^{32} +(-230.192 - 19.5704i) q^{33} +(3.83764 + 7.44397i) q^{34} +(169.759 - 264.150i) q^{35} +(-23.5719 - 38.9370i) q^{36} +(59.4484 - 202.463i) q^{37} +(309.031 + 123.717i) q^{38} +(-84.9682 - 79.3487i) q^{39} +(-243.778 - 173.594i) q^{40} +(240.732 - 252.472i) q^{41} +(-105.774 + 316.202i) q^{42} +(-115.607 + 147.007i) q^{43} +(-63.0524 + 40.5213i) q^{44} +(102.045 - 315.924i) q^{45} +(-29.6045 - 275.588i) q^{46} +(138.367 + 79.8864i) q^{47} +(230.910 + 89.6712i) q^{48} +(-286.954 + 114.879i) q^{49} +(-6.25691 - 65.5253i) q^{50} +(-2.28649 + 17.1667i) q^{51} +(-37.5466 - 3.58526i) q^{52} +(-408.699 - 471.663i) q^{53} +(-22.5618 + 351.815i) q^{54} +(-524.545 - 154.020i) q^{55} +(203.277 + 587.330i) q^{56} +(378.140 + 575.174i) q^{57} +(15.5240 - 325.889i) q^{58} +(52.3345 - 271.537i) q^{59} +(-36.2835 - 101.414i) q^{60} +(37.3477 - 93.2900i) q^{61} +(44.5039 - 38.5628i) q^{62} +(-553.203 + 411.514i) q^{63} +(546.556 - 160.483i) q^{64} +(-159.580 - 224.099i) q^{65} +(580.114 + 21.5983i) q^{66} +(180.812 - 350.727i) q^{67} +(2.80929 + 4.86583i) q^{68} +(275.490 - 502.608i) q^{69} +(-394.506 + 683.305i) q^{70} +(-272.534 - 424.072i) q^{71} +(366.683 + 545.323i) q^{72} +(6.35885 - 13.9239i) q^{73} +(-125.006 + 515.282i) q^{74} +(66.8290 - 118.579i) q^{75} +(211.036 + 73.0404i) q^{76} +(701.824 + 892.441i) q^{77} +(222.754 + 189.003i) q^{78} +(-1209.26 + 418.530i) q^{79} +(493.126 + 316.913i) q^{80} +(-454.100 + 570.293i) q^{81} +(-574.041 + 662.479i) q^{82} +(862.586 - 822.474i) q^{83} +(-60.7873 + 215.269i) q^{84} +(-13.4039 + 38.7280i) q^{85} +(272.594 - 382.804i) q^{86} +(411.516 - 534.620i) q^{87} +(881.451 - 627.679i) q^{88} +(81.1665 - 564.526i) q^{89} +(-218.357 + 805.159i) q^{90} +571.340i q^{91} +(-28.6357 - 183.731i) q^{92} +(121.092 - 12.8333i) q^{93} +(-356.849 - 183.968i) q^{94} +(605.397 + 1512.21i) q^{95} +(369.178 + 123.495i) q^{96} +(901.558 + 218.716i) q^{97} +(706.509 - 322.652i) q^{98} +(958.809 + 722.296i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 1400 q - 27 q^{2} - 22 q^{3} - 281 q^{4} - 33 q^{5} + 29 q^{6} - 11 q^{7} - 22 q^{9} - 44 q^{10} - 33 q^{11} + 86 q^{12} - 9 q^{13} - 33 q^{14} + 726 q^{15} + 999 q^{16} + 51 q^{18} - 44 q^{19} - 33 q^{20}+ \cdots - 9262 q^{99}+O(q^{100}) $ 1400 * q - 27 * q^2 - 22 * q^3 - 281 * q^4 - 33 * q^5 + 29 * q^6 - 11 * q^7 - 22 * q^9 - 44 * q^10 - 33 * q^11 + 86 * q^12 - 9 * q^13 - 33 * q^14 + 726 * q^15 + 999 * q^16 + 51 * q^18 - 44 * q^19 - 33 * q^20 + 638 * q^21 + 252 * q^23 - 2564 * q^24 + 1397 * q^25 - 178 * q^27 - 44 * q^28 - 135 * q^29 - 1518 * q^30 - 45 * q^31 - 339 * q^32 + 1914 * q^33 - 11 * q^34 - 2137 * q^36 - 44 * q^37 - 33 * q^38 + 374 * q^39 + 979 * q^40 + 441 * q^41 - 22 * q^42 - 11 * q^43 + 516 * q^46 - 1992 * q^47 - 20 * q^48 - 4633 * q^49 - 6231 * q^50 - 22 * q^51 + 178 * q^52 + 2640 * q^54 + 256 * q^55 + 17391 * q^56 + 2090 * q^57 + 320 * q^58 - 2061 * q^59 + 418 * q^60 - 11 * q^61 - 2112 * q^63 + 8546 * q^64 - 12969 * q^65 - 5775 * q^66 - 11 * q^67 - 519 * q^69 - 1582 * q^70 - 4156 * q^72 - 36 * q^73 - 10065 * q^74 - 7876 * q^75 - 11 * q^76 + 1317 * q^77 - 10053 * q^78 - 11 * q^79 + 12442 * q^81 + 698 * q^82 + 14025 * q^83 + 16720 * q^84 + 241 * q^85 - 33 * q^86 + 11672 * q^87 - 1419 * q^88 - 37136 * q^90 + 3141 * q^92 + 1138 * q^93 + 396 * q^94 + 5883 * q^95 + 9218 * q^96 + 6325 * q^97 - 9262 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/207\mathbb{Z}\right)^\times$.

$n$	$28$	$47$
$\chi(n)$	$e\left(\frac{9}{22}\right)$	$e\left(\frac{1}{6}\right)$

Coefficient data

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

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

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

$2$	−2.50996	+	0.119564i	−0.887406	+	0.0422724i	−0.486333	−	0.873774i	$-0.661666\pi$
$2$	−2.50996	+	0.119564i	−0.887406	+	0.0422724i	−0.401073	+	0.916046i	$0.631363\pi$
$3$	−4.40022	−	2.76370i	−0.846823	−	0.531875i
$3$	−4.40022	−	2.76370i	−0.846823	−	0.531875i
$4$	−1.67815	+	0.160244i	−0.209769	+	0.0200305i
$5$	−8.89914	−	8.48531i	−0.795963	−	0.758949i	0.178393	−	0.983959i	$-0.442910\pi$
$5$	−8.89914	−	8.48531i	−0.795963	−	0.758949i	−0.974356	+	0.225010i	$0.927759\pi$
$6$	11.3748	+	6.41068i	0.773960	+	0.436192i
$7$	4.83275	+	25.0747i	0.260944	+	1.35391i	0.841752	+	0.539865i	$0.181525\pi$
$7$	4.83275	+	25.0747i	0.260944	+	1.35391i	−0.580808	+	0.814041i	$0.697263\pi$
$8$	24.0908	−	3.46374i	1.06467	−	0.153077i
$9$	11.7239	+	24.3218i	0.434219	+	0.900808i
$10$	23.3511	+	20.2338i	0.738425	+	0.639849i
$11$	39.5179	−	20.3729i	1.08319	−	0.558423i	0.178260	−	0.983983i	$-0.442953\pi$
$11$	39.5179	−	20.3729i	1.08319	−	0.558423i	0.904930	+	0.425560i	$0.139923\pi$
$12$	7.82711	+	3.93280i	0.188291	+	0.0946086i
$13$	21.9694	+	4.23426i	0.468710	+	0.0903364i	0.418137	−	0.908384i	$-0.362683\pi$
$13$	21.9694	+	4.23426i	0.468710	+	0.0903364i	0.0505727	+	0.998720i	$0.483895\pi$
$14$	−15.1281	−	62.3587i	−0.288796	−	1.19043i
$15$	15.7073	+	61.9318i	0.270374	+	1.06605i
$16$	−46.8103	+	9.02195i	−0.731412	+	0.140968i
$17$	−1.38454	−	3.03172i	−0.0197530	−	0.0432530i	0.899498	−	0.436924i	$-0.143932\pi$
$17$	−1.38454	−	3.03172i	−0.0197530	−	0.0432530i	−0.919251	+	0.393671i	$0.871205\pi$
$18$	−32.3346	−	59.6451i	−0.423408	−	0.781027i
$19$	−120.500	−	55.0307i	−1.45498	−	0.664468i	−0.478112	−	0.878299i	$-0.658679\pi$
$19$	−120.500	−	55.0307i	−1.45498	−	0.664468i	−0.976871	+	0.213831i	$0.931406\pi$
$20$	16.2938	+	12.8136i	0.182171	+	0.143261i
$21$	48.0338	−	123.690i	0.499135	−	1.28531i
$22$	−96.7526	+	55.8601i	−0.937624	+	0.541337i
$23$	6.54965	+	110.110i	0.0593781	+	0.998236i
$23$	6.54965	+	110.110i	0.0593781	+	0.998236i
$24$	−115.578	−	51.3386i	−0.983008	−	0.436644i
$25$	1.24641	+	26.1655i	0.00997132	+	0.209324i
$26$	−55.6488	−	8.00108i	−0.419755	−	0.0603516i
$27$	15.6304	−	139.423i	0.111410	−	0.993774i
$28$	−12.1282	−	41.3047i	−0.0818574	−	0.278781i
$29$	−12.3419	+	129.250i	−0.0790287	+	0.827626i	0.865871	+	0.500267i	$0.166765\pi$
$29$	−12.3419	+	129.250i	−0.0790287	+	0.827626i	−0.944900	+	0.327359i	$0.893841\pi$
$30$	−46.8296	−	153.569i	−0.284996	−	0.934589i
$31$	−18.4210	+	14.4864i	−0.106726	+	0.0839301i	−0.670096	−	0.742275i	$-0.733747\pi$
$31$	−18.4210	+	14.4864i	−0.106726	+	0.0839301i	0.563370	+	0.826205i	$0.309505\pi$
$32$	−72.8062	+	17.6626i	−0.402201	+	0.0975730i
$33$	−230.192	−	19.5704i	−1.21428	−	0.103236i
$34$	3.83764	+	7.44397i	0.0193573	+	0.0375480i
$35$	169.759	−	264.150i	0.819844	−	1.27570i
$36$	−23.5719	−	38.9370i	−0.109129	−	0.180264i
$37$	59.4484	−	202.463i	0.264142	−	0.899586i	−0.715462	−	0.698651i	$-0.753784\pi$
$37$	59.4484	−	202.463i	0.264142	−	0.899586i	0.979605	−	0.200935i	$-0.0643979\pi$
$38$	309.031	+	123.717i	1.31925	+	0.528148i
$39$	−84.9682	−	79.3487i	−0.348866	−	0.325794i
$40$	−243.778	−	173.594i	−0.963618	−	0.686189i
$41$	240.732	−	252.472i	0.916975	−	0.961695i	−0.0824161	−	0.996598i	$-0.526264\pi$
$41$	240.732	−	252.472i	0.916975	−	0.961695i	0.999391	+	0.0349027i	$0.0111121\pi$
$42$	−105.774	+	316.202i	−0.388602	+	1.16169i
$43$	−115.607	+	147.007i	−0.409999	+	0.521356i	−0.946570	−	0.322499i	$-0.895477\pi$
$43$	−115.607	+	147.007i	−0.409999	+	0.521356i	0.536571	+	0.843855i	$0.319719\pi$
$44$	−63.0524	+	40.5213i	−0.216034	+	0.138837i
$45$	102.045	−	315.924i	0.338045	−	1.04656i
$46$	−29.6045	−	275.588i	−0.0948903	−	0.883330i
$47$	138.367	+	79.8864i	0.429425	+	0.247928i	0.699101	−	0.715023i	$-0.253584\pi$
$47$	138.367	+	79.8864i	0.429425	+	0.247928i	−0.269677	+	0.962951i	$0.586917\pi$
$48$	230.910	+	89.6712i	0.694354	+	0.269644i
$49$	−286.954	+	114.879i	−0.836601	+	0.334924i
$50$	−6.25691	−	65.5253i	−0.0176972	−	0.185334i
$51$	−2.28649	+	17.1667i	−0.00627789	+	0.0471337i
$52$	−37.5466	−	3.58526i	−0.100130	−	0.00956128i
$53$	−408.699	−	471.663i	−1.05923	−	1.22241i	−0.974117	−	0.226043i	$-0.927421\pi$
$53$	−408.699	−	471.663i	−1.05923	−	1.22241i	−0.0851106	−	0.996372i	$-0.527124\pi$
$54$	−22.5618	+	351.815i	−0.0568570	+	0.886591i
$55$	−524.545	−	154.020i	−1.28599	−	0.377602i
$56$	203.277	+	587.330i	0.485072	+	1.40152i
$57$	378.140	+	575.174i	0.878699	+	1.33656i
$58$	15.5240	−	325.889i	0.0351448	−	0.737781i
$59$	52.3345	−	271.537i	0.115481	−	0.599171i	−0.877371	−	0.479814i	$-0.840704\pi$
$59$	52.3345	−	271.537i	0.115481	−	0.599171i	0.992851	−	0.119358i	$-0.0380836\pi$
$60$	−36.2835	−	101.414i	−0.0780696	−	0.218208i
$61$	37.3477	−	93.2900i	0.0783915	−	0.195812i	−0.883995	−	0.467496i	$-0.845156\pi$
$61$	37.3477	−	93.2900i	0.0783915	−	0.195812i	0.962387	+	0.271684i	$0.0875804\pi$
$62$	44.5039	−	38.5628i	0.0911613	−	0.0789917i
$63$	−553.203	+	411.514i	−1.10630	+	0.822951i
$64$	546.556	−	160.483i	1.06749	−	0.313444i
$65$	−159.580	−	224.099i	−0.304515	−	0.427631i
$66$	580.114	+	21.5983i	1.08192	+	0.0402814i
$67$	180.812	−	350.727i	0.329697	−	0.639523i	−0.664477	−	0.747309i	$-0.731346\pi$
$67$	180.812	−	350.727i	0.329697	−	0.639523i	0.994174	+	0.107785i	$0.0343759\pi$
$68$	2.80929	+	4.86583i	0.00500994	+	0.00867748i
$69$	275.490	−	502.608i	0.480653	−	0.876911i
$70$	−394.506	+	683.305i	−0.673608	+	1.16672i
$71$	−272.534	−	424.072i	−0.455548	−	0.708846i	0.535176	−	0.844741i	$-0.320245\pi$
$71$	−272.534	−	424.072i	−0.455548	−	0.708846i	−0.990723	+	0.135895i	$0.956609\pi$
$72$	366.683	+	545.323i	0.600194	+	0.892597i
$73$	6.35885	−	13.9239i	0.0101952	−	0.0223243i	−0.904466	−	0.426546i	$-0.859730\pi$
$73$	6.35885	−	13.9239i	0.0101952	−	0.0223243i	0.914661	+	0.404222i	$0.132458\pi$
$74$	−125.006	+	515.282i	−0.196374	+	0.809464i
$75$	66.8290	−	118.579i	0.102890	−	0.182564i
$76$	211.036	+	73.0404i	0.318520	+	0.110241i
$77$	701.824	+	892.441i	1.03870	+	1.32082i
$78$	222.754	+	189.003i	0.323358	+	0.274364i
$79$	−1209.26	+	418.530i	−1.72219	+	0.596055i	−0.995827	−	0.0912583i	$-0.970911\pi$
$79$	−1209.26	+	418.530i	−1.72219	+	0.596055i	−0.726361	+	0.687313i	$0.758790\pi$
$80$	493.126	+	316.913i	0.689164	+	0.442899i
$81$	−454.100	+	570.293i	−0.622908	+	0.782295i
$82$	−574.041	+	662.479i	−0.773076	+	0.892177i
$83$	862.586	−	822.474i	1.14074	−	1.08769i	0.145584	−	0.989346i	$-0.453494\pi$
$83$	862.586	−	822.474i	1.14074	−	1.08769i	0.995152	−	0.0983438i	$-0.0313545\pi$
$84$	−60.7873	+	215.269i	−0.0789577	+	0.279616i
$85$	−13.4039	+	38.7280i	−0.0171042	+	0.0494193i
$86$	272.594	−	382.804i	0.341797	−	0.479986i
$87$	411.516	−	534.620i	0.507117	−	0.658819i
$88$	881.451	−	627.679i	1.06776	−	0.760350i
$89$	81.1665	−	564.526i	0.0966700	−	0.672355i	−0.882649	−	0.470033i	$-0.844242\pi$
$89$	81.1665	−	564.526i	0.0966700	−	0.672355i	0.979319	−	0.202322i	$-0.0648488\pi$
$90$	−218.357	+	805.159i	−0.255743	+	0.943013i
$91$			571.340i			0.658161i
$92$	−28.6357	−	183.731i	−0.0324509	−	0.208210i
$93$	121.092	−	12.8333i	0.135018	−	0.0143092i
$94$	−356.849	−	183.968i	−0.391555	−	0.201860i
$95$	605.397	+	1512.21i	0.653815	+	1.63315i
$96$	369.178	+	123.495i	0.392490	+	0.131294i
$97$	901.558	+	218.716i	0.943705	+	0.228940i	0.677957	−	0.735102i	$-0.262866\pi$
$97$	901.558	+	218.716i	0.943705	+	0.228940i	0.265749	+	0.964042i	$0.414381\pi$
$98$	706.509	−	322.652i	0.728247	−	0.332579i
$99$	958.809	+	722.296i	0.973373	+	0.733268i
$100$	−6.28454	−	43.7099i	−0.00628454	−	0.0437099i
$101$	−97.2501	−	101.993i	−0.0958093	−	0.100482i	0.674083	−	0.738655i	$-0.264539\pi$
$101$	−97.2501	−	101.993i	−0.0958093	−	0.100482i	−0.769893	+	0.638173i	$0.779690\pi$
$102$	3.68648	−	43.3612i	0.00357859	−	0.0420922i
$103$	−1154.23	−	54.9826i	−1.10417	−	0.0525980i	−0.512431	−	0.858728i	$-0.671255\pi$
$103$	−1154.23	−	54.9826i	−1.10417	−	0.0525980i	−0.591738	+	0.806130i	$0.701558\pi$
$104$	543.928	+	25.9105i	0.512851	+	0.0244301i
$105$	−1477.01	+	693.157i	−1.37278	+	0.644240i
$106$	1082.21	+	1134.99i	0.991640	+	1.04000i
$107$	−126.859	−	882.323i	−0.114616	−	0.797172i	−0.963330	−	0.268319i	$-0.913532\pi$
$107$	−126.859	−	882.323i	−0.114616	−	0.797172i	0.848714	−	0.528852i	$-0.177377\pi$
$108$	−3.88858	+	236.477i	−0.00346462	+	0.210695i
$109$	−1945.52	+	888.489i	−1.70960	+	0.780750i	−0.712757	+	0.701411i	$0.752554\pi$
$109$	−1945.52	+	888.489i	−1.70960	+	0.780750i	−0.996848	+	0.0793388i	$0.974719\pi$
$110$	1335.01	+	323.869i	1.15716	+	0.280724i
$111$	−821.133	+	726.583i	−0.702149	+	0.621300i
$112$	−452.445	−	1130.15i	−0.381715	−	0.953478i
$113$	−1161.88	−	598.990i	−0.967260	−	0.498657i	−0.0991736	−	0.995070i	$-0.531620\pi$
$113$	−1161.88	−	598.990i	−0.967260	−	0.498657i	−0.868087	+	0.496413i	$0.834650\pi$
$114$	−1017.89	−	1398.45i	−0.836262	−	1.14892i
$115$	876.027	−	1035.46i	0.710347	−	0.839624i
$116$		−	218.879i		−	0.175193i
$117$	154.583	+	583.978i	0.122147	+	0.461443i
$118$	−98.8915	+	687.805i	−0.0771500	+	0.536590i
$119$	69.3284	−	49.3685i	0.0534061	−	0.0380303i
$120$	592.917	+	1437.58i	0.451047	+	1.09361i
$121$	374.553	−	525.986i	0.281407	−	0.395181i
$122$	−82.5871	+	238.620i	−0.0612876	+	0.177079i
$123$	−1757.03	+	445.623i	−1.28802	+	0.326670i
$124$	28.5918	−	27.2622i	0.0207066	−	0.0197437i
$125$	−795.603	+	918.174i	−0.569287	+	0.656992i
$126$	1339.32	−	1099.03i	0.946951	−	0.777058i
$127$	−884.945	−	568.720i	−0.618316	−	0.397368i	0.193651	−	0.981070i	$-0.437967\pi$
$127$	−884.945	−	568.720i	−0.618316	−	0.397368i	−0.811967	+	0.583703i	$0.801603\pi$
$128$	−786.266	+	272.129i	−0.542943	+	0.187914i
$129$	914.981	−	327.358i	0.624493	−	0.223428i
$130$	427.334	+	543.400i	0.288305	+	0.366610i
$131$	320.229	+	110.832i	0.213576	+	0.0739195i	0.431761	−	0.901988i	$-0.357892\pi$
$131$	320.229	+	110.832i	0.213576	+	0.0739195i	−0.218185	+	0.975907i	$0.570014\pi$
$132$	389.433	−	4.04475i	0.256787	−	0.00266705i
$133$	797.528	−	3287.46i	0.519958	−	2.14330i
$134$	−411.897	+	901.930i	−0.265541	+	0.581454i
$135$	−1322.14	+	1108.11i	−0.842903	+	0.706453i
$136$	−43.8558	−	68.2410i	−0.0276515	−	0.0430266i
$137$	898.090	−	1555.54i	0.560066	−	0.970062i	−0.437424	−	0.899255i	$-0.644109\pi$
$137$	898.090	−	1555.54i	0.560066	−	0.970062i	0.997490	−	0.0708070i	$-0.0225575\pi$
$138$	−631.376	+	1294.47i	−0.389466	+	0.798494i
$139$	345.908	+	599.130i	0.211076	+	0.365594i	0.952051	−	0.305938i	$-0.0989700\pi$
$139$	345.908	+	599.130i	0.211076	+	0.365594i	−0.740976	+	0.671532i	$0.765637\pi$
$140$	−242.553	+	470.488i	−0.146425	+	0.284025i
$141$	−388.065	−	733.924i	−0.231780	−	0.438351i
$142$	734.755	+	1031.82i	0.434220	+	0.609777i
$143$	954.450	−	280.252i	0.558148	−	0.163887i
$144$	−768.230	−	1032.74i	−0.444578	−	0.597650i
$145$	1206.56	−	1045.49i	0.691030	−	0.598781i
$146$	−14.2957	+	35.7089i	−0.00810355	+	0.0202417i
$147$	1580.15	+	287.562i	0.886591	+	0.161345i
$148$	−67.3201	+	349.290i	−0.0373897	+	0.193996i
$149$	150.331	−	3155.84i	0.0826552	−	1.73515i	−0.453700	−	0.891154i	$-0.649896\pi$
$149$	150.331	−	3155.84i	0.0826552	−	1.73515i	0.536355	−	0.843992i	$-0.319801\pi$
$150$	−153.561	+	305.618i	−0.0835879	+	0.166358i
$151$	294.687	+	851.443i	0.158817	+	0.458870i	0.996134	−	0.0878466i	$-0.0279985\pi$
$151$	294.687	+	851.443i	0.158817	+	0.458870i	−0.837317	+	0.546717i	$0.815877\pi$
$152$	−3093.56	−	908.352i	−1.65080	−	0.484717i
$153$	57.5047	−	69.2182i	0.0303855	−	0.0365749i
$154$	−1868.26	−	2156.08i	−0.977587	−	1.12820i
$155$	286.852	+	27.3911i	0.148649	+	0.0141942i
$156$	155.305	+	119.544i	0.0797072	+	0.0613535i
$157$	−226.308	−	2370.01i	−0.115040	−	1.20476i	−0.850050	−	0.526702i	$-0.823429\pi$
$157$	−226.308	−	2370.01i	−0.115040	−	1.20476i	0.735010	−	0.678056i	$-0.237177\pi$
$158$	2985.17	−	1195.08i	1.50308	−	0.601744i
$159$	494.828	+	3204.95i	0.246808	+	1.59855i
$160$	797.785	+	460.602i	0.394190	+	0.227586i
$161$	−2729.31	+	696.362i	−1.33602	+	0.340876i
$162$	1071.59	−	1485.71i	0.519703	−	0.720545i
$163$	3231.42	−	2076.71i	1.55279	−	0.997915i	0.568225	−	0.822873i	$-0.307630\pi$
$163$	3231.42	−	2076.71i	1.55279	−	0.997915i	0.984561	−	0.175042i	$-0.0560062\pi$
$164$	−363.527	+	462.262i	−0.173090	+	0.220101i
$165$	1882.45	+	2127.41i	0.888173	+	1.00375i
$166$	−2066.72	+	2167.51i	−0.966317	+	1.01344i
$167$	701.506	+	499.540i	0.325055	+	0.231470i	0.730921	−	0.682462i	$-0.239091\pi$
$167$	701.506	+	499.540i	0.325055	+	0.231470i	−0.405866	+	0.913932i	$0.633030\pi$
$168$	728.742	−	3146.18i	0.334665	−	1.44484i
$169$	−1574.90	−	630.494i	−0.716840	−	0.286979i
$170$	29.0128	−	98.8085i	0.0130893	−	0.0445780i
$171$	−74.2895	−	3575.96i	−0.0332226	−	1.59918i
$172$	170.450	−	265.225i	0.0755621	−	0.117577i
$173$	−1751.31	−	3397.06i	−0.769649	−	1.49291i	−0.867352	−	0.497696i	$-0.834180\pi$
$173$	−1751.31	−	3397.06i	−0.769649	−	1.49291i	0.0977026	−	0.995216i	$-0.468851\pi$
$174$	−968.969	+	1391.08i	−0.422169	+	0.606077i
$175$	−650.067	+	157.705i	−0.280803	+	0.0681220i
$176$	−1666.04	+	1310.19i	−0.713538	+	0.561132i
$177$	−980.731	+	1050.19i	−0.416476	+	0.445971i
$178$	−136.228	+	1426.64i	−0.0573636	+	0.600738i
$179$	178.513	+	607.961i	0.0745403	+	0.253861i	0.988330	−	0.152326i	$-0.0486763\pi$
$179$	178.513	+	607.961i	0.0745403	+	0.253861i	−0.913790	+	0.406187i	$0.866858\pi$
$180$	−120.623	+	546.521i	−0.0499483	+	0.226307i
$181$	1828.36	+	262.879i	0.750835	+	0.107954i	0.507099	−	0.861888i	$-0.330718\pi$
$181$	1828.36	+	262.879i	0.750835	+	0.107954i	0.243736	+	0.969842i	$0.421627\pi$
$182$	−68.3118	−	1434.04i	−0.0278220	−	0.584056i
$183$	−422.164	+	307.279i	−0.170531	+	0.124124i
$184$	539.177	+	2629.94i	0.216025	+	1.05371i
$185$	−2247.00	+	1297.31i	−0.892988	+	0.515567i
$186$	−302.403	+	46.6895i	−0.119211	+	0.0184056i
$187$	−116.479	−	91.6002i	−0.0455497	−	0.0358207i
$188$	−245.003	−	111.889i	−0.0950461	−	0.0434061i
$189$	3571.52	−	281.867i	1.37455	−	0.108480i
$190$	−1700.33	−	3723.20i	−0.649236	−	1.42163i
$191$	−873.918	+	168.434i	−0.331070	+	0.0638086i	−0.352078	−	0.935971i	$-0.614525\pi$
$191$	−873.918	+	168.434i	−0.331070	+	0.0638086i	0.0210074	+	0.999779i	$0.493313\pi$
$192$	−2848.49	−	804.355i	−1.07069	−	0.302340i
$193$	−500.735	−	2064.06i	−0.186755	−	0.769814i	−0.985714	−	0.168428i	$-0.946131\pi$
$193$	−500.735	−	2064.06i	−0.186755	−	0.769814i	0.798959	−	0.601385i	$-0.205384\pi$
$194$	−2289.03	−	441.174i	−0.847128	−	0.163270i
$195$	82.8452	+	1427.12i	0.0304240	+	0.524092i
$196$	463.144	−	238.767i	0.168784	−	0.0870143i
$197$	748.795	+	648.834i	0.270809	+	0.234657i	0.779669	−	0.626192i	$-0.215387\pi$
$197$	748.795	+	648.834i	0.270809	+	0.234657i	−0.508860	+	0.860849i	$0.669933\pi$
$198$	−2492.94	−	1698.30i	−0.894774	−	0.609560i
$199$	1636.66	−	235.317i	0.583015	−	0.0838249i	0.155504	−	0.987835i	$-0.450300\pi$
$199$	1636.66	−	235.317i	0.583015	−	0.0838249i	0.427511	+	0.904010i	$0.359391\pi$
$200$	120.657	+	626.030i	0.0426588	+	0.221335i
$201$	−1764.92	+	1043.56i	−0.619342	+	0.366206i
$202$	256.289	+	244.371i	0.0892694	+	0.0851182i
$203$	−3300.55	+	315.165i	−1.14115	+	0.108967i
$204$	1.08621	−	29.1748i	0.000372794	−	0.0100130i
$205$	−4284.61	+	204.101i	−1.45976	+	0.0695367i
$206$	2903.64			0.982070
$207$	−2601.27	+	1450.21i	−0.873435	+	0.486941i
$208$	−1066.60			−0.355554
$209$	−5883.05	+	280.244i	−1.94708	+	0.0927507i
$210$	3624.37	−	1916.40i	1.19098	−	0.629733i
$211$	−119.089	+	11.3717i	−0.0388552	+	0.00371022i	−0.114466	−	0.993427i	$-0.536516\pi$
$211$	−119.089	+	11.3717i	−0.0388552	+	0.00371022i	0.0756103	+	0.997137i	$0.475909\pi$
$212$	761.440	+	726.032i	0.246679	+	0.235208i
$213$	27.2038	+	2619.21i	0.00875104	+	0.842561i
$214$	423.905	+	2199.43i	0.135409	+	0.702570i
$215$	2276.20	−	327.269i	0.722027	−	0.103812i
$216$	−106.374	−	3412.95i	−0.0335083	−	1.07510i
$217$	−452.266	−	391.890i	−0.141483	−	0.122596i
$218$	4776.95	−	2462.69i	1.48411	−	0.765112i
$219$	−66.4620	+	43.6944i	−0.0205072	+	0.0134822i
$220$	904.948	+	174.414i	0.277325	+	0.0534501i
$221$	−17.5805	−	72.4678i	−0.00535109	−	0.0220575i
$222$	1974.14	−	1921.88i	0.596827	−	0.581027i
$223$	2876.10	−	554.322i	0.863667	−	0.166458i	0.261866	−	0.965104i	$-0.415662\pi$
$223$	2876.10	−	554.322i	0.863667	−	0.166458i	0.601801	+	0.798646i	$0.294450\pi$
$224$	−794.738	−	1740.23i	−0.237057	−	0.519082i
$225$	−621.778	+	337.076i	−0.184231	+	0.0998745i
$226$	2987.89	+	1364.52i	0.879432	+	0.401623i
$227$	3452.12	+	2714.78i	1.00936	+	0.793772i	0.978604	−	0.205755i	$-0.0659649\pi$
$227$	3452.12	+	2714.78i	1.00936	+	0.793772i	0.0307597	+	0.999527i	$0.490207\pi$
$228$	−726.745	−	904.635i	−0.211096	−	0.262767i
$229$	−3330.72	+	1922.99i	−0.961137	+	0.554913i	−0.896523	−	0.442998i	$-0.853915\pi$
$229$	−3330.72	+	1922.99i	−0.961137	+	0.554913i	−0.0646143	+	0.997910i	$0.520582\pi$
$230$	−2074.99	+	2703.70i	−0.594874	+	0.775115i
$231$	−621.738	−	5866.57i	−0.177088	−	1.67096i
$232$	150.362	+	3156.49i	0.0425507	+	0.893249i
$233$	−2987.53	−	429.542i	−0.839998	−	0.120773i	−0.291131	−	0.956683i	$-0.594032\pi$
$233$	−2987.53	−	429.542i	−0.839998	−	0.120773i	−0.548867	+	0.835910i	$0.684941\pi$
$234$	−457.820	−	1447.28i	−0.127900	−	0.404324i
$235$	−553.489	−	1885.01i	−0.153641	−	0.523253i
$236$	−44.3130	+	464.067i	−0.0122226	+	0.128001i
$237$	6477.72	+	1500.42i	1.77542	+	0.411235i
$238$	−168.109	+	132.202i	−0.0457852	+	0.0360059i
$239$	4531.77	−	1099.40i	1.22651	−	0.297548i	0.430365	−	0.902655i	$-0.358385\pi$
$239$	4531.77	−	1099.40i	1.22651	−	0.297548i	0.796144	+	0.605107i	$0.206870\pi$
$240$	−1294.01	−	2757.34i	−0.348033	−	0.741606i
$241$	1885.87	+	3658.08i	0.504065	+	0.977750i	0.994346	+	0.106186i	$0.0338638\pi$
$241$	1885.87	+	3658.08i	0.504065	+	0.977750i	−0.490281	+	0.871564i	$0.663106\pi$
$242$	−877.225	+	1364.99i	−0.233017	+	0.362582i
$243$	3574.26	−	1254.42i	0.943576	−	0.331156i
$244$	−47.7259	+	162.540i	−0.0125219	+	0.0426456i
$245$	3528.43	+	1412.57i	0.920094	+	0.368350i
$246$	4356.80	−	1328.57i	1.12918	−	0.344337i
$247$	−2414.31	−	1719.22i	−0.621939	−	0.442881i
$248$	−393.599	+	412.794i	−0.100780	+	0.105695i
$249$	−6068.64	+	1235.14i	−1.54452	+	0.314352i
$250$	1887.15	−	2399.71i	0.477416	−	0.607084i
$251$	2020.23	−	1298.32i	0.508032	−	0.326492i	−0.261390	−	0.965233i	$-0.584181\pi$
$251$	2020.23	−	1298.32i	0.508032	−	0.326492i	0.769422	+	0.638741i	$0.220545\pi$
$252$	862.416	−	779.231i	0.215584	−	0.194790i
$253$	2502.08	+	4217.86i	0.621756	+	1.04812i
$254$	2289.18	+	1321.66i	0.565495	+	0.326489i
$255$	166.013	−	133.367i	0.0407691	−	0.0327521i
$256$	−2289.64	+	916.636i	−0.558995	+	0.223788i
$257$	237.011	+	2482.09i	0.0575265	+	0.602445i	0.977567	+	0.210623i	$0.0675491\pi$
$257$	237.011	+	2482.09i	0.0575265	+	0.602445i	−0.920041	+	0.391822i	$0.871845\pi$
$258$	−2257.43	+	931.055i	−0.544734	+	0.224670i
$259$	5363.99	+	512.199i	1.28688	+	0.122882i
$260$	303.710	+	350.500i	0.0724435	+	0.0836042i
$261$	−3288.29	+	1215.14i	−0.779847	+	0.288181i
$262$	−817.014	−	239.897i	−0.192654	−	0.0565682i
$263$	2127.33	+	6146.52i	0.498771	+	1.44111i	0.860803	+	0.508939i	$0.169962\pi$
$263$	2127.33	+	6146.52i	0.498771	+	1.44111i	−0.362031	+	0.932166i	$0.617917\pi$
$264$	−5613.30	+	325.857i	−1.30862	+	0.0759663i
$265$	−365.145	+	7665.33i	−0.0846440	+	1.77690i
$266$	−1608.70	+	8346.75i	−0.370812	+	1.92396i
$267$	−1917.33	+	2259.72i	−0.439471	+	0.517949i
$268$	−247.228	+	617.547i	−0.0563503	+	0.140756i
$269$	−2546.30	+	2206.38i	−0.577140	+	0.500095i	−0.893813	−	0.448440i	$-0.851980\pi$
$269$	−2546.30	+	2206.38i	−0.577140	+	0.500095i	0.316673	+	0.948535i	$0.397434\pi$
$270$	3186.04	−	2939.40i	0.718134	−	0.662542i
$271$	1856.52	−	545.125i	0.416147	−	0.122192i	−0.0669547	−	0.997756i	$-0.521328\pi$
$271$	1856.52	−	545.125i	0.416147	−	0.122192i	0.483102	+	0.875564i	$0.339510\pi$
$272$	92.1630	+	129.425i	0.0205449	+	0.0288512i
$273$	1579.01	−	2514.02i	0.350059	−	0.557346i
$274$	−2068.19	+	4011.72i	−0.455999	+	0.884515i
$275$	582.322	+	1008.61i	0.127692	+	0.221169i
$276$	−381.774	+	887.598i	−0.0832613	+	0.193576i
$277$	−1558.69	+	2699.72i	−0.338095	+	0.585598i	−0.984074	−	0.177757i	$-0.943116\pi$
$277$	−1558.69	+	2699.72i	−0.338095	+	0.585598i	0.645979	+	0.763355i	$0.276449\pi$
$278$	−939.851	−	1462.44i	−0.202764	−	0.315508i
$279$	−568.301	−	278.194i	−0.121947	−	0.0596954i
$280$	3174.69	−	6951.60i	0.677585	−	1.48371i
$281$	1750.17	−	7214.28i	0.371552	−	1.53156i	−0.412555	−	0.910933i	$-0.635364\pi$
$281$	1750.17	−	7214.28i	0.371552	−	1.53156i	0.784107	−	0.620626i	$-0.213121\pi$
$282$	1061.78	+	1795.72i	0.224213	+	0.379198i
$283$	6244.67	+	2161.30i	1.31169	+	0.453979i	0.891319	−	0.453376i	$-0.149780\pi$
$283$	6244.67	+	2161.30i	1.31169	+	0.453979i	0.420366	+	0.907355i	$0.361902\pi$
$284$	525.309	+	667.985i	0.109758	+	0.139569i
$285$	1515.41	−	8327.19i	0.314966	−	1.73074i
$286$	−2362.13	+	817.540i	−0.488376	+	0.169028i
$287$	7494.05	+	4816.13i	1.54132	+	0.990549i
$288$	−1283.16	−	1563.70i	−0.262538	−	0.319938i
$289$	3210.06	−	3704.60i	0.653380	−	0.754041i
$290$	−2903.42	+	2768.40i	−0.587912	+	0.560573i
$291$	−3362.59	−	3454.04i	−0.677384	−	0.695805i
$292$	−8.43989	+	24.3855i	−0.00169146	+	0.00488716i
$293$	4116.40	−	5780.68i	0.820760	−	1.15260i	−0.165306	−	0.986242i	$-0.552861\pi$
$293$	4116.40	−	5780.68i	0.820760	−	1.15260i	0.986066	−	0.166354i	$-0.0531994\pi$
$294$	−4000.51	−	532.840i	−0.793586	−	0.105700i
$295$	−2769.81	+	1972.37i	−0.546659	+	0.389274i
$296$	730.883	−	5083.41i	0.143519	−	0.998199i
$297$	−2222.76	−	5828.13i	−0.434268	−	1.13866i
$298$			7939.03i			1.54327i
$299$	−322.340	+	2446.78i	−0.0623459	+	0.473247i
$300$	−93.1478	+	209.702i	−0.0179263	+	0.0403571i
$301$	−4244.85	−	2188.37i	−0.812854	−	0.419055i
$302$	−841.456	−	2101.86i	−0.160332	−	0.400491i
$303$	146.044	+	717.562i	0.0276898	+	0.136049i
$304$	6137.15	+	1488.86i	1.15786	+	0.280894i
$305$	−1123.96	+	513.294i	−0.211008	+	0.0963643i
$306$	−136.059	+	180.611i	−0.0254182	+	0.0337413i
$307$	−988.779	−	6877.11i	−0.183820	−	1.27849i	−0.847628	−	0.530591i	$-0.821970\pi$
$307$	−988.779	−	6877.11i	−0.183820	−	1.27849i	0.663808	−	0.747903i	$-0.268939\pi$
$308$	−1320.78	−	1385.19i	−0.244345	−	0.256261i
$309$	4926.90	+	3431.88i	0.907060	+	0.631821i
$310$	−723.264	−	34.4533i	−0.132512	−	0.00631231i
$311$	−7605.19	−	362.280i	−1.38666	−	0.0660547i	−0.659077	−	0.752076i	$-0.729053\pi$
$311$	−7605.19	−	362.280i	−1.38666	−	0.0660547i	−0.727582	+	0.686021i	$0.759356\pi$
$312$	−2321.79	−	1617.27i	−0.421300	−	0.293460i
$313$	−2872.47	−	3012.56i	−0.518726	−	0.544025i	0.411308	−	0.911496i	$-0.365072\pi$
$313$	−2872.47	−	3012.56i	−0.518726	−	0.544025i	−0.930035	+	0.367472i	$0.880223\pi$
$314$	851.393	+	5921.57i	0.153016	+	1.06425i
$315$	8414.85	+	1031.97i	1.50515	+	0.184588i
$316$	1962.26	−	896.135i	0.349323	−	0.159530i
$317$	−7748.51	−	1879.77i	−1.37287	−	0.333055i	−0.519549	−	0.854441i	$-0.673900\pi$
$317$	−7748.51	−	1879.77i	−1.37287	−	0.333055i	−0.853321	+	0.521386i	$0.825415\pi$
$318$	−1625.20	−	7985.13i	−0.286593	−	1.40813i
$319$	2145.47	+	5359.13i	0.376563	+	0.940608i
$320$	−6225.62	−	3209.53i	−1.08757	−	0.560682i
$321$	−1880.27	+	4233.02i	−0.326936	+	0.736025i
$322$	6767.20	−	2074.17i	1.17118	−	0.358972i
$323$			441.516i			0.0760576i
$324$	670.663	−	1029.81i	0.114997	−	0.176578i
$325$	−83.4084	+	580.118i	−0.0142359	+	0.0990128i
$326$	−7862.44	+	5598.82i	−1.33577	+	0.951196i
$327$	11016.2	+	1467.29i	1.86299	+	0.248138i
$328$	4924.92	−	6916.09i	0.829065	−	1.16426i
$329$	−1334.43	+	3855.59i	−0.223616	+	0.646096i
$330$	−4979.24	−	5114.65i	−0.830601	−	0.853189i
$331$	−7718.66	+	7359.73i	−1.28174	+	1.22214i	−0.320238	+	0.947337i	$0.603763\pi$
$331$	−7718.66	+	7359.73i	−1.28174	+	1.22214i	−0.961502	+	0.274799i	$0.911389\pi$
$332$	−1315.75	+	1518.46i	−0.217504	+	0.251013i
$333$	5621.23	−	927.761i	0.925049	−	0.152676i
$334$	−1820.48	−	1169.95i	−0.298240	−	0.191667i
$335$	−4585.10	+	1586.92i	−0.747793	+	0.258814i
$336$	−1132.55	+	6223.35i	−0.183886	+	1.01045i
$337$	−5542.45	−	7047.79i	−0.895894	−	1.13922i	−0.989632	−	0.143625i	$-0.954124\pi$
$337$	−5542.45	−	7047.79i	−0.895894	−	1.13922i	0.0937383	−	0.995597i	$-0.470118\pi$
$338$	4028.32	+	1394.21i	0.648259	+	0.224365i
$339$	3457.10	+	5846.78i	0.553875	+	0.936736i
$340$	16.2878	−	67.1394i	0.00259803	−	0.0107092i
$341$	−432.827	+	947.760i	−0.0687358	+	0.150510i
$342$	614.021	+	8966.65i	0.0970832	+	1.41772i
$343$	468.086	+	728.356i	0.0736859	+	0.114658i
$344$	−2275.88	+	3941.94i	−0.356707	+	0.617835i
$345$	−6716.40	+	2135.16i	−1.04811	+	0.333197i
$346$	4801.88	+	8317.10i	0.746100	+	1.29228i
$347$	4427.47	−	8588.09i	0.684954	−	1.32863i	−0.248046	−	0.968748i	$-0.579788\pi$
$347$	4427.47	−	8588.09i	0.684954	−	1.32863i	0.933000	−	0.359877i	$-0.117181\pi$
$348$	−604.917	+	963.117i	−0.0931809	+	0.148358i
$349$	−4169.79	−	5855.65i	−0.639553	−	0.898126i	0.359839	−	0.933015i	$-0.382832\pi$
$349$	−4169.79	−	5855.65i	−0.639553	−	0.898126i	−0.999391	+	0.0348886i	$0.988892\pi$
$350$	1612.79	−	473.558i	0.246306	−	0.0723221i
$351$	933.744	−	2996.85i	0.141993	−	0.455727i
$352$	−2517.31	+	2181.26i	−0.381173	+	0.330289i
$353$	1601.53	−	4000.42i	0.241475	−	0.603175i	−0.757279	−	0.653092i	$-0.773472\pi$
$353$	1601.53	−	4000.42i	0.241475	−	0.603175i	0.998753	+	0.0499172i	$0.0158958\pi$
$354$	2336.03	−	2753.19i	0.350731	−	0.413363i
$355$	−1173.06	+	6086.41i	−0.175379	+	0.909953i
$356$	−45.7479	+	960.366i	−0.00681077	+	0.142976i
$357$	−441.500	+	25.6294i	−0.0654528	+	0.00379959i
$358$	−520.753	−	1504.62i	−0.0768789	−	0.222127i
$359$	−4099.25	−	1203.65i	−0.602647	−	0.176953i	−0.0338442	−	0.999427i	$-0.510775\pi$
$359$	−4099.25	−	1203.65i	−0.602647	−	0.176953i	−0.568803	+	0.822474i	$0.692593\pi$
$360$	1364.08	−	7964.32i	0.199704	−	1.16599i
$361$	7000.27	+	8078.74i	1.02060	+	1.17783i
$362$	−4620.56	−	441.210i	−0.670859	−	0.0640593i
$363$	−3101.78	+	1279.30i	−0.448489	+	0.184975i
$364$	−91.5538	−	958.795i	−0.0131833	−	0.138062i
$365$	−174.737	+	69.9542i	−0.0250580	+	0.0100317i
$366$	1022.88	−	821.734i	0.146084	−	0.117357i
$367$	9111.13	+	5260.31i	1.29590	+	0.748191i	0.979694	−	0.200498i	$-0.0642560\pi$
$367$	9111.13	+	5260.31i	1.29590	+	0.748191i	0.316211	+	0.948689i	$0.397589\pi$
$368$	−1299.99	−	5095.17i	−0.184149	−	0.721751i
$369$	8962.89	+	2895.07i	1.26447	+	0.408432i
$370$	5484.78	−	3524.85i	0.770648	−	0.495266i
$371$	9851.67	−	12527.4i	1.37863	−	1.75308i
$372$	−201.155	+	40.9406i	−0.0280360	+	0.00570611i
$373$	−7014.13	+	7356.21i	−0.973667	+	1.02115i	0.0261018	+	0.999659i	$0.491691\pi$
$373$	−7014.13	+	7356.21i	−0.973667	+	1.02115i	−0.999769	+	0.0214935i	$0.993158\pi$
$374$	303.310	+	215.986i	0.0419353	+	0.0298620i
$375$	6038.39	−	1841.36i	0.831523	−	0.253567i
$376$	3610.09	+	1445.26i	0.495149	+	0.198228i
$377$	−818.423	+	2787.29i	−0.111806	+	0.380777i
$378$	−8930.68	+	1134.50i	−1.21520	+	0.154372i
$379$	−2671.04	+	4156.23i	−0.362011	+	0.563301i	−0.973710	−	0.227790i	$-0.926850\pi$
$379$	−2671.04	+	4156.23i	−0.362011	+	0.563301i	0.611699	+	0.791091i	$0.290486\pi$
$380$	−1258.27	−	2440.70i	−0.169863	−	0.329488i
$381$	2322.18	+	4948.22i	0.312255	+	0.665367i
$382$	2173.36	−	527.252i	0.291097	−	0.0706193i
$383$	930.934	−	732.095i	0.124200	−	0.0976718i	−0.554127	−	0.832432i	$-0.686948\pi$
$383$	930.934	−	732.095i	0.124200	−	0.0976718i	0.678327	+	0.734760i	$0.262705\pi$
$384$	4211.83	+	975.575i	0.559724	+	0.129647i
$385$	1327.02	−	13897.1i	0.175665	−	1.83965i
$386$	1503.61	+	5120.84i	0.198269	+	0.675243i
$387$	−4930.84	−	1088.29i	−0.647671	−	0.142948i
$388$	−1548.00	−	222.569i	−0.202546	−	0.0291217i
$389$	607.472	+	12752.4i	0.0791775	+	1.66214i	0.593717	+	0.804674i	$0.297660\pi$
$389$	607.472	+	12752.4i	0.0791775	+	1.66214i	−0.514540	+	0.857466i	$0.672037\pi$
$390$	−378.571	−	3572.10i	−0.0491530	−	0.463796i
$391$	324.753	−	172.308i	0.0420038	−	0.0222864i
$392$	−6515.04	+	3761.46i	−0.839437	+	0.484649i
$393$	−1102.77	−	1372.70i	−0.141545	−	0.176193i
$394$	−1957.02	−	1539.02i	−0.250237	−	0.196789i
$395$	14312.8	+	6536.42i	1.82317	+	0.832616i
$396$	−1724.77	−	1058.48i	−0.218871	−	0.134320i
$397$	−5454.42	−	11943.5i	−0.689545	−	1.50989i	−0.852203	−	0.523211i	$-0.824734\pi$
$397$	−5454.42	−	11943.5i	−0.689545	−	1.50989i	0.162658	−	0.986683i	$-0.447993\pi$
$398$	−4079.83	+	786.323i	−0.513828	+	0.0990322i
$399$	−12594.9	+	12261.4i	−1.58028	+	1.53844i
$400$	−294.409	−	1213.57i	−0.0368011	−	0.151696i
$401$	−4784.49	−	922.134i	−0.595825	−	0.114836i	−0.117582	−	0.993063i	$-0.537514\pi$
$401$	−4784.49	−	922.134i	−0.595825	−	0.114836i	−0.478243	+	0.878227i	$0.658726\pi$
$402$	4305.10	−	2830.33i	0.534127	−	0.351154i
$403$	−466.037	+	240.259i	−0.0576054	+	0.0296976i
$404$	179.544	+	155.576i	0.0221105	+	0.0191589i
$405$	8880.21	−	1221.93i	1.08953	−	0.149922i
$406$	8246.58	−	1185.68i	1.00806	−	0.144937i
$407$	−1775.47	−	9212.04i	−0.216233	−	1.12193i
$408$	4.37759	+	421.480i	0.000531184	+	0.0511430i
$409$	−9396.56	−	8959.60i	−1.13601	−	1.08319i	−0.995658	−	0.0930862i	$-0.970327\pi$
$409$	−9396.56	−	8959.60i	−1.13601	−	1.08319i	−0.140356	−	0.990101i	$-0.544825\pi$
$410$	10729.8	−	1024.57i	1.29246	−	0.123415i
$411$	−8250.84	+	4362.66i	−0.990228	+	0.523586i
$412$	1945.78	−	92.6889i	0.232674	−	0.0110836i
$413$	7061.62			0.841355
$414$	6355.71	−	3951.00i	0.754508	−	0.469036i
$415$	−14655.2			−1.73349
$416$	−1674.30	+	79.7567i	−0.197330	+	0.00939999i
$417$	133.745	−	3592.29i	0.0157063	−	0.421859i
$418$	14732.7	−	1406.81i	1.72393	−	0.164615i
$419$	−4561.69	−	4349.56i	−0.531869	−	0.507136i	0.375869	−	0.926673i	$-0.377344\pi$
$419$	−4561.69	−	4349.56i	−0.531869	−	0.507136i	−0.907739	+	0.419536i	$0.862193\pi$
$420$	2367.58	−	1399.91i	0.275062	−	0.162639i
$421$	588.241	+	3052.08i	0.0680976	+	0.353324i	0.999955	−	0.00950112i	$-0.00302435\pi$
$421$	588.241	+	3052.08i	0.0680976	+	0.353324i	−0.931857	+	0.362825i	$0.881812\pi$
$422$	297.550	−	42.7813i	0.0343235	−	0.00493498i
$423$	−320.776	+	4301.92i	−0.0368716	+	0.494484i
$424$	−11479.6	−	9947.13i	−1.31486	−	1.13933i
$425$	77.6007	−	40.0060i	0.00885692	−	0.00456606i
$426$	−381.445	−	6570.88i	−0.0433828	−	0.747324i
$427$	2519.71	+	485.634i	0.285567	+	0.0550386i
$428$	354.276	+	1460.34i	0.0400106	+	0.164926i
$429$	−4974.32	−	1404.64i	−0.559819	−	0.158081i
$430$	−5674.06	+	1093.59i	−0.636343	+	0.122645i
$431$	−987.946	−	2163.30i	−0.110412	−	0.241769i	0.846358	−	0.532615i	$-0.178791\pi$
$431$	−987.946	−	2163.30i	−0.110412	−	0.241769i	−0.956770	+	0.290846i	$0.906063\pi$
$432$	526.199	+	6667.44i	0.0586036	+	0.742564i
$433$	7565.35	+	3454.98i	0.839648	+	0.383455i	0.788349	−	0.615229i	$-0.210936\pi$
$433$	7565.35	+	3454.98i	0.839648	+	0.383455i	0.0512997	+	0.998683i	$0.483664\pi$
$434$	1182.03	+	929.556i	0.130735	+	0.102811i
$435$	−8198.55	+	1265.82i	−0.903657	+	0.139520i
$436$	3122.50	−	1802.78i	0.342983	−	0.198021i
$437$	5270.16	−	13628.7i	0.576902	−	1.49187i
$438$	161.593	−	117.618i	0.0176283	−	0.0128311i
$439$	157.538	+	3307.12i	0.0171272	+	0.359545i	0.991120	+	0.132968i	$0.0424506\pi$
$439$	157.538	+	3307.12i	0.0171272	+	0.359545i	−0.973993	+	0.226577i	$0.927246\pi$
$440$	−13170.2	−	1893.59i	−1.42697	−	0.205167i
$441$	−6158.29	−	5632.41i	−0.664970	−	0.608186i
$442$	52.7910	+	179.789i	0.00568102	+	0.0193478i
$443$	−552.404	+	5785.04i	−0.0592450	+	0.620441i	0.916278	+	0.400543i	$0.131179\pi$
$443$	−552.404	+	5785.04i	−0.0592450	+	0.620441i	−0.975523	+	0.219898i	$0.929427\pi$
$444$	1261.56	−	1350.90i	0.134844	−	0.144394i
$445$	−5512.49	+	4335.07i	−0.587229	+	0.461802i
$446$	−7152.62	+	1735.21i	−0.759387	+	0.184225i
$447$	−9383.30	+	13470.9i	−0.992875	+	1.42540i
$448$	6665.43	+	12929.1i	0.702929	+	1.36349i
$449$	−7792.74	+	12125.7i	−0.819070	+	1.27450i	0.139666	+	0.990199i	$0.455397\pi$
$449$	−7792.74	+	12125.7i	−0.819070	+	1.27450i	−0.958736	+	0.284299i	$0.908239\pi$
$450$	1520.34	−	920.392i	0.159265	−	0.0964171i
$451$	4369.62	−	14881.6i	0.456225	−	1.55376i
$452$	2045.80	+	819.013i	0.212890	+	0.0852282i
$453$	1056.45	−	4560.97i	0.109572	−	0.473053i
$454$	−8989.29	−	6401.25i	−0.929270	−	0.661730i
$455$	4848.00	−	5084.43i	0.499511	−	0.523872i
$456$	11101.9	+	12546.6i	1.14012	+	1.28849i
$457$	10548.1	−	13413.1i	1.07970	−	1.37295i	0.156921	−	0.987611i	$-0.449843\pi$
$457$	10548.1	−	13413.1i	1.07970	−	1.37295i	0.922777	−	0.385335i	$-0.125914\pi$
$458$	8130.07	−	5224.88i	0.829462	−	0.533063i
$459$	−444.332	+	145.649i	−0.0451844	+	0.0148112i
$460$	−1304.18	+	1878.03i	−0.132191	+	0.190356i
$461$	6343.41	+	3662.37i	0.640872	+	0.370008i	0.784950	−	0.619559i	$-0.212688\pi$
$461$	6343.41	+	3662.37i	0.640872	+	0.370008i	−0.144078	+	0.989566i	$0.546022\pi$
$462$	2261.97	+	14650.5i	0.227785	+	1.47534i
$463$	−4751.38	+	1902.16i	−0.476923	+	0.190931i	−0.597654	−	0.801754i	$-0.703900\pi$
$463$	−4751.38	+	1902.16i	−0.476923	+	0.190931i	0.120731	+	0.992685i	$0.461476\pi$
$464$	−588.361	−	6161.59i	−0.0588663	−	0.616476i
$465$	−1186.51	−	913.301i	−0.118329	−	0.0910824i
$466$	7549.95	+	720.933i	0.750525	+	0.0716664i
$467$	−2383.41	−	2750.60i	−0.236169	−	0.272554i	0.625277	−	0.780403i	$-0.284986\pi$
$467$	−2383.41	−	2750.60i	−0.236169	−	0.272554i	−0.861446	+	0.507849i	$0.830441\pi$
$468$	−352.992	−	955.234i	−0.0348656	−	0.0943498i
$469$	9668.18	+	2838.83i	0.951887	+	0.279499i
$470$	1614.62	+	4665.13i	0.158461	+	0.457843i
$471$	−5554.18	+	11054.0i	−0.543361	+	1.08140i
$472$	320.247	−	6722.82i	0.0312300	−	0.655599i
$473$	−1573.61	+	8164.65i	−0.152969	+	0.793681i
$474$	−16438.3	−	2991.49i	−1.59290	−	0.289882i
$475$	1289.71	−	3221.54i	0.124581	−	0.311188i
$476$	−108.433	+	93.9573i	−0.0104412	+	0.00904733i
$477$	6680.16	−	15470.0i	0.641223	−	1.48496i
$478$	−11243.1	+	3301.28i	−1.07583	+	0.315893i
$479$	−8534.76	−	11985.4i	−0.814119	−	1.14327i	−0.987376	−	0.158393i	$-0.949369\pi$
$479$	−8534.76	−	11985.4i	−0.814119	−	1.14327i	0.173257	−	0.984877i	$-0.444571\pi$
$480$	−2237.47	−	4231.59i	−0.212762	−	0.402385i
$481$	2163.33	−	4196.27i	0.205071	−	0.397783i
$482$	−5170.85	−	8956.17i	−0.488642	−	0.846353i
$483$	13934.1	+	4478.85i	1.31268	+	0.421935i
$484$	−544.271	+	942.705i	−0.0511148	+	0.0885335i
$485$	−6167.22	−	9596.38i	−0.577400	−	0.898452i
$486$	−8821.28	+	3575.90i	−0.823336	+	0.333757i
$487$	−1875.51	+	4106.78i	−0.174512	+	0.382128i	−0.976596	−	0.215084i	$-0.930997\pi$
$487$	−1875.51	+	4106.78i	−0.174512	+	0.382128i	0.802084	+	0.597212i	$0.203725\pi$
$488$	576.604	−	2376.79i	0.0534869	−	0.220476i
$489$	−19958.4	+	207.292i	−1.84570	+	0.0191699i
$490$	−9025.12	−	3123.62i	−0.832068	−	0.287982i
$491$	1151.59	+	1464.36i	0.105846	+	0.134594i	0.836090	−	0.548592i	$-0.184836\pi$
$491$	1151.59	+	1464.36i	0.105846	+	0.134594i	−0.730244	+	0.683186i	$0.760594\pi$
$492$	2877.16	−	1029.38i	0.263643	−	0.0943249i
$493$	408.939	−	141.535i	0.0373584	−	0.0129299i
$494$	6265.39	+	4026.52i	0.570634	+	0.366724i
$495$	−2403.67	−	14563.6i	−0.218256	−	1.32239i
$496$	731.596	−	844.306i	0.0662291	−	0.0764324i
$497$	9316.38	−	8883.15i	0.840838	−	0.801738i
$498$	15084.4	−	3825.74i	1.35733	−	0.344248i
$499$	427.500	−	1235.18i	0.0383518	−	0.110810i	−0.924199	−	0.381910i	$-0.875266\pi$
$499$	427.500	−	1235.18i	0.0383518	−	0.110810i	0.962551	+	0.271100i	$0.0873875\pi$
$500$	1188.01	−	1668.33i	0.106259	−	0.149220i
$501$	−1706.20	−	4136.84i	−0.152151	−	0.368903i
$502$	−4915.48	+	3500.29i	−0.437029	+	0.311207i
$503$	404.898	−	2816.13i	0.0358917	−	0.249632i	−0.963974	−	0.265995i	$-0.914300\pi$
$503$	404.898	−	2816.13i	0.0358917	−	0.249632i	0.999866	+	0.0163628i	$0.00520868\pi$
$504$	−11901.7	+	11829.9i	−1.05188	+	1.04552i
$505$			1732.85i			0.152694i
$506$	−6784.43	−	10287.5i	−0.596056	−	0.903826i
$507$	5187.40	+	7126.86i	0.454399	+	0.624290i
$508$	1576.21	+	812.591i	0.137663	+	0.0709703i
$509$	−398.253	−	994.788i	−0.0346803	−	0.0866271i	0.910017	−	0.414571i	$-0.136068\pi$
$509$	−398.253	−	994.788i	−0.0346803	−	0.0866271i	−0.944697	+	0.327944i	$0.893644\pi$
$510$	−400.740	+	354.597i	−0.0347942	+	0.0307878i
$511$	379.869	+	92.1552i	0.0328854	+	0.00797790i
$512$	11692.0	−	5339.57i	1.00922	−	0.460894i
$513$	−9555.99	+	15940.3i	−0.822432	+	1.37190i
$514$	−891.657	−	6201.61i	−0.0765162	−	0.532182i
$515$	9805.08	+	10283.3i	0.838958	+	0.879874i
$516$	−1483.02	+	695.977i	−0.126524	+	0.0593773i
$517$	7095.50	+	338.000i	0.603597	+	0.0287529i
$518$	−13524.7	−	644.259i	−1.14718	−	0.0546469i
$519$	−1682.33	+	19787.9i	−0.142285	+	1.67359i
$520$	−4620.63	−	4845.98i	−0.389669	−	0.408673i
$521$	−1028.06	−	7150.28i	−0.0864490	−	0.601266i	−0.986287	−	0.165041i	$-0.947224\pi$
$521$	−1028.06	−	7150.28i	−0.0864490	−	0.601266i	0.899838	−	0.436225i	$-0.143685\pi$
$522$	8108.21	−	3443.12i	0.679859	−	0.288700i
$523$	−8464.91	+	3865.80i	−0.707734	+	0.323211i	−0.736559	−	0.676373i	$-0.763551\pi$
$523$	−8464.91	+	3865.80i	−0.707734	+	0.323211i	0.0288252	+	0.999584i	$0.490823\pi$
$524$	−555.153	−	134.679i	−0.0462824	−	0.0112280i
$525$	3296.29	+	1102.66i	0.274022	+	0.0916645i
$526$	−6074.43	−	15173.2i	−0.503532	−	1.25776i
$527$	69.4233	+	35.7902i	0.00573838	+	0.00295834i
$528$	10951.9	−	1160.68i	0.902693	−	0.0956671i
$529$	−12081.2	+	1442.36i	−0.992948	+	0.118547i
$530$		−	19283.4i		−	1.58041i
$531$	7217.83	−	1910.61i	0.589882	−	0.156145i
$532$	−811.579	+	5644.65i	−0.0661398	+	0.460013i
$533$	6357.77	−	4527.35i	0.516671	−	0.367920i
$534$	4542.25	−	5901.05i	0.368094	−	0.478209i
$535$	−6357.85	+	8928.35i	−0.513783	+	0.721507i
$536$	3141.09	−	9075.57i	0.253124	−	0.731353i
$537$	894.724	−	3168.52i	0.0718998	−	0.254622i
$538$	6127.32	−	5842.39i	0.491018	−	0.468184i
$539$	−8999.40	+	10385.9i	−0.719168	+	0.829964i
$540$	2041.19	−	2071.45i	0.162664	−	0.165076i
$541$	16803.3	+	10798.8i	1.33536	+	0.858186i	0.996576	−	0.0826773i	$-0.0263471\pi$
$541$	16803.3	+	10798.8i	1.33536	+	0.858186i	0.338787	+	0.940863i	$0.389983\pi$
$542$	−4594.63	+	1590.22i	−0.364126	+	0.126025i
$543$	−7318.68	−	6209.78i	−0.578407	−	0.490768i
$544$	154.351	+	196.274i	0.0121650	+	0.0154691i
$545$	24852.5	+	8601.55i	1.95333	+	0.676055i
$546$	−3662.68	+	6498.90i	−0.287084	+	0.509390i
$547$	−3235.49	+	13336.9i	−0.252906	+	1.04249i	0.693743	+	0.720223i	$0.255961\pi$
$547$	−3235.49	+	13336.9i	−0.252906	+	1.04249i	−0.946648	+	0.322269i	$0.895555\pi$
$548$	−1257.87	+	2754.34i	−0.0980536	+	0.214707i
$549$	2706.84	−	185.360i	0.210428	−	0.0144098i
$550$	−1582.20	−	2461.95i	−0.122664	−	0.190869i
$551$	8599.92	−	14895.5i	0.664917	−	1.15167i
$552$	4895.88	−	13062.4i	0.377504	−	1.00720i
$553$	−16338.6	−	28299.3i	−1.25640	−	2.17614i
$554$	3589.45	−	6962.57i	0.275273	−	0.533955i
$555$	13472.7	+	501.604i	1.03042	+	0.0383638i
$556$	−676.493	−	950.002i	−0.0516002	−	0.0724623i
$557$	13941.0	−	4093.44i	1.06050	−	0.311390i	0.295446	−	0.955359i	$-0.404532\pi$
$557$	13941.0	−	4093.44i	1.06050	−	0.311390i	0.765052	+	0.643969i	$0.222713\pi$
$558$	1459.68	+	630.308i	0.110740	+	0.0478191i
$559$	−3162.29	+	2740.14i	−0.239268	+	0.207327i
$560$	−5563.33	+	13896.5i	−0.419810	+	1.04864i
$561$	259.378	+	724.975i	0.0195204	+	0.0545605i
$562$	−3530.28	+	18316.8i	−0.264975	+	1.37482i
$563$	−157.753	+	3311.65i	−0.0118091	+	0.247903i	0.985242	+	0.171166i	$0.0547533\pi$
$563$	−157.753	+	3311.65i	−0.0118091	+	0.247903i	−0.997051	+	0.0767374i	$0.975550\pi$
$564$	768.839	+	1169.45i	0.0574006	+	0.0873099i
$565$	5257.10	+	15189.4i	0.391448	+	1.13101i
$566$	−15932.3	−	4678.15i	−1.18319	−	0.347416i
$567$	−16494.5	−	8630.33i	−1.22170	−	0.639224i
$568$	−8034.45	−	9272.25i	−0.593517	−	0.684956i
$569$	−5129.48	−	489.806i	−0.377924	−	0.0360874i	−0.0956343	−	0.995417i	$-0.530488\pi$
$569$	−5129.48	−	489.806i	−0.377924	−	0.0360874i	−0.282290	+	0.959329i	$0.591094\pi$
$570$	−2808.00	+	21082.1i	−0.206340	+	1.54918i
$571$	360.185	+	3772.03i	0.0263980	+	0.276453i	0.999028	+	0.0440912i	$0.0140392\pi$
$571$	360.185	+	3772.03i	0.0263980	+	0.276453i	−0.972629	+	0.232362i	$0.925355\pi$
$572$	−1556.80	+	623.250i	−0.113799	+	0.0455584i
$573$	4310.93	+	1674.10i	0.314296	+	0.122053i
$574$	−19385.6	−	11192.3i	−1.40965	−	0.813864i
$575$	−2872.90	+	308.617i	−0.208362	+	0.0223830i
$576$	10311.0	+	11411.7i	0.745877	+	0.825501i
$577$	−19208.3	+	12344.4i	−1.38588	+	0.890650i	−0.999498	−	0.0316892i	$-0.989911\pi$
$577$	−19208.3	+	12344.4i	−1.38588	+	0.890650i	−0.386381	+	0.922339i	$0.626275\pi$
$578$	−7614.19	+	9682.23i	−0.547938	+	0.696760i
$579$	−3501.09	+	10466.2i	−0.251296	+	0.751226i
$580$	−1857.26	+	1947.84i	−0.132963	+	0.139447i
$581$	24791.9	+	17654.3i	1.77030	+	1.26062i
$582$	8852.96	+	8267.46i	0.630528	+	0.588827i
$583$	−25760.1	−	10312.8i	−1.82997	−	0.732609i
$584$	104.961	−	357.464i	0.00743719	−	0.0253287i
$585$	3579.59	−	6508.59i	0.252987	−	0.459995i
$586$	−9640.85	+	15001.5i	−0.679625	+	1.05752i
$587$	4782.79	+	9277.31i	0.336298	+	0.652326i	0.994978	−	0.100097i	$-0.0319153\pi$
$587$	4782.79	+	9277.31i	0.336298	+	0.652326i	−0.658680	+	0.752423i	$0.728885\pi$
$588$	−2697.82	−	229.363i	−0.189211	−	0.0160863i
$589$	3016.93	−	731.899i	0.211053	−	0.0512009i
$590$	6716.29	−	5281.75i	0.468653	−	0.368553i
$591$	−1501.68	−	4924.46i	−0.104519	−	0.342750i
$592$	−956.192	+	10013.7i	−0.0663839	+	0.695203i
$593$	4349.42	+	14812.8i	0.301196	+	1.02578i	0.961506	+	0.274786i	$0.0886069\pi$
$593$	4349.42	+	14812.8i	0.301196	+	1.02578i	−0.660310	+	0.750994i	$0.729575\pi$
$594$	6275.89	+	14362.6i	0.433506	+	0.992097i
$595$	−1035.87	−	148.936i	−0.0713723	−	0.0102618i
$596$	253.427	+	5320.08i	0.0174174	+	0.365636i
$597$	−7852.03	−	3487.80i	−0.538295	−	0.239106i
$598$	516.515	−	6179.86i	0.0353209	−	0.422598i
$599$	3658.61	−	2112.30i	0.249560	−	0.144084i	−0.370003	−	0.929031i	$-0.620643\pi$
$599$	3658.61	−	2112.30i	0.249560	−	0.144084i	0.619563	+	0.784947i	$0.287310\pi$
$600$	1199.24	−	3088.13i	0.0815980	−	0.210121i
$601$	15742.9	+	12380.3i	1.06850	+	0.840274i	0.987685	−	0.156455i	$-0.0500066\pi$
$601$	15742.9	+	12380.3i	1.06850	+	0.840274i	0.0808108	+	0.996729i	$0.474249\pi$
$602$	10916.1	+	4985.20i	0.739046	+	0.337511i
$603$	10650.1	+	285.792i	0.719248	+	0.0193007i
$604$	−630.969	−	1381.63i	−0.0425062	−	0.0930756i
$605$	−7796.35	+	1502.62i	−0.523912	+	0.100976i
$606$	−452.359	−	1783.59i	−0.0303232	−	0.119560i
$607$	−5957.93	−	24558.9i	−0.398394	−	1.64220i	−0.719016	−	0.694993i	$-0.755407\pi$
$607$	−5957.93	−	24558.9i	−0.398394	−	1.64220i	0.320623	−	0.947207i	$-0.396108\pi$
$608$	9745.16	+	1878.23i	0.650030	+	0.125283i
$609$	15394.2	+	7734.95i	1.02431	+	0.514673i
$610$	2759.72	−	1422.73i	0.183177	−	0.0944341i
$611$	2701.59	+	2340.94i	0.178878	+	0.154999i
$612$	−85.4099	+	125.373i	−0.00564133	+	0.00828092i
$613$	15372.6	−	2210.24i	1.01288	−	0.145629i	0.384161	−	0.923266i	$-0.374491\pi$
$613$	15372.6	−	2210.24i	1.01288	−	0.145629i	0.628714	+	0.777637i	$0.283582\pi$
$614$	3304.06	+	17143.1i	0.217168	+	1.12677i
$615$	19417.3	+	10943.3i	1.27314	+	0.717522i
$616$	19998.7	+	19068.7i	1.30807	+	1.24724i
$617$	9530.25	−	910.029i	0.621837	−	0.0593782i	0.220618	−	0.975360i	$-0.429193\pi$
$617$	9530.25	−	910.029i	0.621837	−	0.0593782i	0.401219	+	0.915982i	$0.368587\pi$
$618$	−12776.7	−	8024.80i	−0.831639	−	0.522338i
$619$	−875.800	+	41.7195i	−0.0568682	+	0.00270896i	−0.0759967	−	0.997108i	$-0.524214\pi$
$619$	−875.800	+	41.7195i	−0.0568682	+	0.00270896i	0.0191286	+	0.999817i	$0.493911\pi$
$620$	−485.771			−0.0314662
$621$	15454.1	+	807.890i	0.998636	+	0.0522053i
$622$	19132.1			1.23332
$623$	14547.6	−	692.985i	0.935531	−	0.0445648i
$624$	4693.27	+	2947.76i	0.301092	+	0.189110i
$625$	18130.7	−	1731.28i	1.16037	−	0.110802i
$626$	7569.98	+	7217.96i	0.483318	+	0.460843i
$627$	26661.2	+	15025.9i	1.69816	+	0.957058i
$628$	759.559	+	3940.97i	0.0482638	+	0.250417i
$629$	−696.120	+	100.087i	−0.0441274	+	0.00634456i
$630$	−21244.4	−	1584.10i	−1.34349	−	0.100178i
$631$	−4343.14	−	3763.35i	−0.274006	−	0.237427i	0.507008	−	0.861941i	$-0.330752\pi$
$631$	−4343.14	−	3763.35i	−0.274006	−	0.237427i	−0.781013	+	0.624514i	$0.785297\pi$
$632$	−27682.5	+	14271.3i	−1.74233	+	0.898231i
$633$	555.448	+	279.090i	0.0348769	+	0.0175242i
$634$	19673.2	+	3791.71i	1.23237	+	0.237520i
$635$	3049.48	+	12570.1i	0.190575	+	0.785561i
$636$	−1343.97	−	5299.09i	−0.0837923	−	0.330382i
$637$	−6790.65	+	1308.79i	−0.422379	+	0.0814068i
$638$	−6025.82	−	13194.7i	−0.373926	−	0.818783i
$639$	7119.02	−	11600.3i	0.440726	−	0.718155i
$640$	9306.19	+	4249.99i	0.574780	+	0.262493i
$641$	3332.07	+	2620.37i	0.205318	+	0.161464i	0.715523	−	0.698589i	$-0.246188\pi$
$641$	3332.07	+	2620.37i	0.205318	+	0.161464i	−0.510206	+	0.860052i	$0.670431\pi$
$642$	4213.29	−	10849.5i	0.259011	−	0.666973i
$643$	10966.3	−	6331.41i	0.672581	−	0.388315i	−0.124473	−	0.992223i	$-0.539724\pi$
$643$	10966.3	−	6331.41i	0.672581	−	0.388315i	0.797054	+	0.603908i	$0.206391\pi$
$644$	4468.61	−	1605.96i	0.273428	−	0.0982664i
$645$	−10920.3	−	4850.69i	−0.666644	−	0.296118i
$646$	−52.7895	−	1108.19i	−0.00321513	−	0.0674940i
$647$	20733.5	+	2981.03i	1.25984	+	0.181138i	0.739697	−	0.672940i	$-0.234969\pi$
$647$	20733.5	+	2981.03i	1.25984	+	0.181138i	0.520145	+	0.854078i	$0.325878\pi$
$648$	−8964.30	+	15311.7i	−0.543443	+	0.928241i
$649$	−3463.84	−	11796.8i	−0.209504	−	0.713504i
$650$	139.991	−	1466.05i	0.00844751	−	0.0884664i
$651$	907.001	+	2974.33i	0.0546055	+	0.179068i
$652$	−5090.03	+	4002.85i	−0.305738	+	0.240435i
$653$	−10355.2	+	2512.15i	−0.620568	+	0.150548i	−0.533703	−	0.845672i	$-0.679200\pi$
$653$	−10355.2	+	2512.15i	−0.620568	+	0.150548i	−0.0868649	+	0.996220i	$0.527685\pi$
$654$	−27825.8	−	2365.69i	−1.66372	−	0.141446i
$655$	−1909.31	−	3703.55i	−0.113898	−	0.220931i
$656$	−8990.94	+	13990.2i	−0.535118	+	0.832659i
$657$	413.206	−	8.58423i	0.0245368	−	0.000509745i
$658$	2888.39	−	9836.94i	0.171126	−	0.582802i
$659$	3631.65	+	1453.89i	0.214672	+	0.0859418i	0.476506	−	0.879171i	$-0.341903\pi$
$659$	3631.65	+	1453.89i	0.214672	+	0.0859418i	−0.261834	+	0.965113i	$0.584327\pi$
$660$	−3499.94	−	3268.47i	−0.206417	−	0.192765i
$661$	−12521.7	−	8916.65i	−0.736818	−	0.524686i	0.148932	−	0.988847i	$-0.452416\pi$
$661$	−12521.7	−	8916.65i	−0.736818	−	0.524686i	−0.885751	+	0.464161i	$0.846356\pi$
$662$	18493.6	−	19395.5i	1.08576	−	1.13871i
$663$	−122.921	+	367.461i	−0.00720040	+	0.0215249i
$664$	17931.6	−	22801.8i	1.04801	−	1.33265i
$665$	−34992.4	+	22488.3i	−2.04052	+	1.31136i
$666$	−13998.2	+	3000.75i	−0.814441	+	0.174589i
$667$	−14312.5	−	512.417i	−0.830858	−	0.0297464i
$668$	−1257.28	−	725.892i	−0.0728229	−	0.0420443i
$669$	−14187.5	−	5509.54i	−0.819908	−	0.318402i
$670$	11318.7	−	4531.32i	0.652655	−	0.261284i
$671$	−424.685	−	4447.50i	−0.0244334	−	0.255878i
$672$	−1312.46	+	9853.84i	−0.0753413	+	0.565655i
$673$	19611.2	+	1872.65i	1.12327	+	0.107259i	0.640115	−	0.768279i	$-0.278886\pi$
$673$	19611.2	+	1872.65i	1.12327	+	0.107259i	0.483150	+	0.875538i	$0.339493\pi$
$674$	14754.0	+	17027.0i	0.843179	+	0.973081i
$675$	3667.54	+	235.199i	0.209131	+	0.0134116i
$676$	2743.95	+	805.697i	0.156119	+	0.0458407i
$677$	−23.2923	−	67.2988i	−0.00132230	−	0.00382054i	0.944338	−	0.328978i	$-0.106704\pi$
$677$	−23.2923	−	67.2988i	−0.00132230	−	0.00382054i	−0.945660	+	0.325157i	$0.894583\pi$
$678$	−9376.25	−	14261.9i	−0.531110	−	0.807851i
$679$	−1127.22	+	23663.3i	−0.0637096	+	1.33743i
$680$	−188.767	+	979.416i	−0.0106454	+	0.0552337i
$681$	−7687.27	−	21486.3i	−0.432565	−	1.20904i
$682$	973.063	−	2430.59i	0.0546342	−	0.136470i
$683$	11228.3	−	9729.39i	0.629048	−	0.545073i	−0.280931	−	0.959728i	$-0.590643\pi$
$683$	11228.3	−	9729.39i	0.629048	−	0.545073i	0.909979	+	0.414655i	$0.136098\pi$
$684$	697.696	+	5989.10i	0.0390015	+	0.334794i
$685$	−21191.4	+	6222.37i	−1.18202	+	0.347072i
$686$	−1261.96	−	1772.18i	−0.0702362	−	0.0986329i
$687$	19970.5	+	743.526i	1.10906	+	0.0412915i
$688$	4085.33	−	7924.44i	0.226383	−	0.439123i
$689$	−6981.73	−	12092.7i	−0.386042	−	0.668644i
$690$	16602.6	−	6162.21i	0.916017	−	0.339987i
$691$	3959.54	−	6858.12i	0.217985	−	0.377562i	−0.736206	−	0.676757i	$-0.763385\pi$
$691$	3959.54	−	6858.12i	0.217985	−	0.377562i	0.954192	+	0.299195i	$0.0967181\pi$
$692$	3483.32	+	5420.15i	0.191352	+	0.297750i
$693$	−13477.7	+	27532.5i	−0.738780	+	1.50920i
$694$	−10086.0	+	22085.2i	−0.551668	+	1.20798i
$695$	2005.52	−	8266.88i	0.109459	−	0.451195i
$696$	8061.97	−	14304.8i	0.439064	−	0.779055i
$697$	−1098.73	−	380.274i	−0.0597092	−	0.0206656i
$698$	11166.2	+	14198.9i	0.605509	+	0.769967i
$699$	11958.7	+	10146.7i	0.647093	+	0.549048i
$700$	1065.64	−	368.822i	0.0575392	−	0.0199145i
$701$	−29493.0	−	18954.0i	−1.58907	−	1.02123i	−0.972196	−	0.234167i	$-0.924764\pi$
$701$	−29493.0	−	18954.0i	−1.58907	−	1.02123i	−0.616871	−	0.787064i	$-0.711600\pi$
$702$	−1985.35	+	7633.64i	−0.106741	+	0.410418i
$703$	−18305.2	+	21125.3i	−0.982069	+	1.13337i
$704$	18329.2	−	17476.9i	0.981262	−	0.935631i
$705$	−2774.13	+	9824.14i	−0.148198	+	0.524821i
$706$	−3541.46	+	10232.4i	−0.188789	+	0.545469i
$707$	2087.46	−	2931.42i	0.111042	−	0.155937i
$708$	1477.53	−	1919.53i	0.0784307	−	0.101893i
$709$	−18163.7	+	12934.3i	−0.962132	+	0.685131i	−0.949163	−	0.314785i	$-0.898068\pi$
$709$	−18163.7	+	12934.3i	−0.962132	+	0.685131i	−0.0129692	+	0.999916i	$0.504128\pi$
$710$	2216.62	−	15416.9i	0.117167	−	0.814911i
$711$	−24356.7	−	24504.7i	−1.28474	−	1.29254i
$712$		−	13881.0i		−	0.730636i
$713$	−1715.74	−	1933.44i	−0.0901192	−	0.101554i
$714$	1105.08	−	117.117i	0.0579226	−	0.00613863i
$715$	−10871.8	−	5604.80i	−0.568647	−	0.293158i
$716$	−396.995	−	991.646i	−0.0207212	−	0.0517591i
$717$	−22979.2	−	7686.88i	−1.19689	−	0.400379i
$718$	10432.9	+	2530.99i	0.542273	+	0.131554i
$719$	−8752.72	+	3997.23i	−0.453993	+	0.207332i	−0.629269	−	0.777188i	$-0.716646\pi$
$719$	−8752.72	+	3997.23i	−0.453993	+	0.207332i	0.175276	+	0.984519i	$0.443918\pi$
$720$	−1926.53	+	15709.2i	−0.0997187	+	0.813119i
$721$	−4199.42	−	29207.6i	−0.216913	−	1.50867i
$722$	−18536.3	−	19440.4i	−0.955473	−	1.00207i
$723$	1811.59	−	21308.4i	0.0931865	−	1.09608i
$724$	−3110.40	−	148.166i	−0.159664	−	0.00760575i
$725$	−3397.27	−	161.832i	−0.174030	−	0.00829006i
$726$	7632.41	−	3581.87i	0.390173	−	0.183107i
$727$	2355.96	+	2470.86i	0.120190	+	0.126051i	0.781079	−	0.624432i	$-0.214669\pi$
$727$	2355.96	+	2470.86i	0.120190	+	0.126051i	−0.660890	+	0.750483i	$0.729821\pi$
$728$	1978.97	+	13764.0i	0.100749	+	0.700727i
$729$	−19194.4	−	4358.47i	−0.975175	−	0.221433i
$730$	430.220	−	196.475i	0.0218125	−	0.00996146i
$731$	605.747	+	146.953i	0.0306489	+	0.00743535i
$732$	659.215	−	583.310i	0.0332859	−	0.0294532i
$733$	−989.713	−	2472.18i	−0.0498716	−	0.124573i	0.901340	−	0.433112i	$-0.142584\pi$
$733$	−989.713	−	2472.18i	−0.0498716	−	0.124573i	−0.951212	+	0.308538i	$0.900160\pi$
$734$	−23497.5	−	12113.8i	−1.18162	−	0.609168i
$735$	−11621.9	−	15967.1i	−0.583241	−	0.801302i
$736$	−2421.68	−	7900.97i	−0.121283	−	0.395698i
$737$		−	17543.6i		−	0.876836i
$738$	−22842.7	−	6194.88i	−1.13936	−	0.308993i
$739$	−2939.40	+	20444.0i	−0.146316	+	1.01765i	0.775867	+	0.630897i	$0.217313\pi$
$739$	−2939.40	+	20444.0i	−0.146316	+	1.01765i	−0.922183	+	0.386754i	$0.873596\pi$
$740$	3562.92	−	2537.15i	0.176994	−	0.126037i
$741$	5872.08	+	14237.4i	0.291115	+	0.705835i
$742$	−23229.5	+	32621.3i	−1.14930	+	1.61397i
$743$	−4465.76	+	12903.0i	−0.220502	+	0.637098i	0.779442	+	0.626474i	$0.215503\pi$
$743$	−4465.76	+	12903.0i	−0.220502	+	0.637098i	−0.999944	+	0.0106232i	$0.996618\pi$
$744$	2872.76	−	728.598i	0.141560	−	0.0359028i
$745$	−28116.1	+	26808.7i	−1.38268	+	1.31838i
$746$	16725.7	−	19302.5i	0.820872	−	0.947337i
$747$	30116.9	+	11337.0i	1.47513	+	0.555289i
$748$	210.148	+	135.054i	0.0102724	+	0.00660169i
$749$	21510.9	−	7444.99i	1.04939	−	0.363196i
$750$	−14936.0	+	5343.73i	−0.727180	+	0.260167i
$751$	−7790.82	−	9906.83i	−0.378550	−	0.481366i	0.559024	−	0.829152i	$-0.311176\pi$
$751$	−7790.82	−	9906.83i	−0.378550	−	0.481366i	−0.937574	+	0.347786i	$0.886934\pi$
$752$	−7197.76	−	2491.17i	−0.349036	−	0.120803i
$753$	−12477.7	+	129.596i	−0.603866	+	0.00627189i
$754$	1720.95	−	7093.86i	0.0831212	−	0.342630i
$755$	4602.29	−	10077.6i	0.221847	−	0.485778i
$756$	−5948.38	+	1045.33i	−0.286165	+	0.0502887i
$757$	5265.47	+	8193.24i	0.252810	+	0.393380i	0.944342	−	0.328966i	$-0.106700\pi$
$757$	5265.47	+	8193.24i	0.252810	+	0.393380i	−0.691532	+	0.722346i	$0.743064\pi$
$758$	6207.29	−	10751.3i	0.297439	−	0.515180i
$759$	647.214	−	25474.5i	0.0309518	−	1.21827i
$760$	19822.4	+	34333.4i	0.946097	+	1.63869i
$761$	13543.7	−	26271.2i	0.645151	−	1.25142i	−0.308707	−	0.951157i	$-0.599896\pi$
$761$	13543.7	−	26271.2i	0.645151	−	1.25142i	0.953857	−	0.300260i	$-0.0970735\pi$
$762$	−6420.22	−	12142.2i	−0.305223	−	0.577251i
$763$	−31680.8	−	44489.4i	−1.50317	−	2.11091i
$764$	1439.58	−	422.698i	0.0681702	−	0.0200166i
$765$	−1099.08	+	128.037i	−0.0519442	+	0.00605120i
$766$	−2249.08	+	1948.84i	−0.106087	+	0.0919248i
$767$	2299.52	−	5743.92i	0.108254	−	0.270405i
$768$	12608.3	+	2294.50i	0.592397	+	0.107807i
$769$	1037.43	−	5382.68i	0.0486484	−	0.252412i	−0.949460	−	0.313887i	$-0.898369\pi$
$769$	1037.43	−	5382.68i	0.0486484	−	0.252412i	0.998109	+	0.0614757i	$0.0195807\pi$
$770$	−1669.16	+	35040.0i	−0.0781200	+	1.63994i
$771$	5816.85	−	11576.8i	0.271710	−	0.540761i
$772$	1171.06	+	3383.56i	0.0545951	+	0.157742i
$773$	−19751.3	−	5799.51i	−0.919023	−	0.269850i	−0.212189	−	0.977229i	$-0.568059\pi$
$773$	−19751.3	−	5799.51i	−0.919023	−	0.269850i	−0.706834	+	0.707379i	$0.749877\pi$
$774$	12506.3	+	2142.01i	0.580790	+	0.0994740i
$775$	−402.004	−	463.937i	−0.0186328	−	0.0215034i
$776$	22476.8	+	2146.28i	1.03978	+	0.0992873i
$777$	−22187.2	−	17078.3i	−1.02440	−	0.788519i
$778$	−3049.46	−	31935.4i	−0.140525	−	1.47165i
$779$	−42901.9	+	17175.3i	−1.97320	+	0.789949i
$780$	−367.714	−	2381.64i	−0.0168798	−	0.109329i
$781$	−19409.5	−	11206.1i	−0.889281	−	0.513426i
$782$	−794.517	+	471.316i	−0.0363323	+	0.0215527i
$783$	17827.5	+	3740.98i	0.813669	+	0.170743i
$784$	12396.0	−	7966.42i	0.564686	−	0.362902i
$785$	−18096.3	+	23011.3i	−0.822782	+	1.04625i
$786$	2932.04	+	3313.58i	0.133056	+	0.150371i
$787$	14916.3	−	15643.7i	0.675613	−	0.708563i	−0.293284	−	0.956025i	$-0.594748\pi$
$787$	14916.3	−	15643.7i	0.675613	−	0.708563i	0.968897	+	0.247463i	$0.0795967\pi$
$788$	−1360.56	−	968.853i	−0.0615077	−	0.0437994i
$789$	7626.42	−	32925.4i	0.344116	−	1.48564i
$790$	−36706.1	−	14694.9i	−1.65309	−	0.661798i
$791$	9404.42	−	32028.5i	0.422734	−	1.43970i
$792$	25600.3	+	14079.6i	1.14857	+	0.631690i
$793$	1215.52	−	1891.39i	0.0544318	−	0.0846976i
$794$	15118.4	+	29325.6i	0.675734	+	1.31074i
$795$	22791.4	−	32720.0i	1.01676	−	1.45970i
$796$	−2708.86	+	657.163i	−0.120619	+	0.0292620i
$797$	−26197.6	+	20602.0i	−1.16432	+	0.915635i	−0.997522	−	0.0703559i	$-0.977587\pi$
$797$	−26197.6	+	20602.0i	−1.16432	+	0.915635i	−0.166802	+	0.985990i	$0.553344\pi$
$798$	30146.6	−	32281.6i	1.33732	−	1.43202i
$799$	50.6182	−	530.098i	0.00224123	−	0.0234712i
$800$	−552.897	−	1882.99i	−0.0244348	−	0.0832174i
$801$	14681.9	−	4644.33i	0.647638	−	0.204868i
$802$	12119.1	+	1742.47i	0.533593	+	0.0767191i
$803$	−32.3825	−	679.793i	−0.00142311	−	0.0298747i
$804$	2794.57	−	2034.08i	0.122583	−	0.0892243i
$805$	30197.3	+	16962.0i	1.32213	+	0.742649i
$806$	1141.01	−	658.762i	0.0498640	−	0.0287890i
$807$	17302.1	−	2671.35i	0.754723	−	0.116526i
$808$	−2696.11	−	2120.24i	−0.117387	−	0.0923143i
$809$	15512.5	+	7084.30i	0.674152	+	0.307875i	0.722917	−	0.690935i	$-0.242801\pi$
$809$	15512.5	+	7084.30i	0.674152	+	0.307875i	−0.0487644	+	0.998810i	$0.515528\pi$
$810$	−22142.9	+	4128.77i	−0.960522	+	0.179099i
$811$	5564.07	+	12183.6i	0.240913	+	0.527527i	0.991008	−	0.133804i	$-0.0427192\pi$
$811$	5564.07	+	12183.6i	0.240913	+	0.527527i	−0.750094	+	0.661331i	$0.769992\pi$
$812$	5488.33	−	1057.79i	0.237195	−	0.0457156i
$813$	−9675.68	−	2732.21i	−0.417394	−	0.117863i
$814$	5557.81	+	22909.6i	0.239313	+	0.986463i
$815$	−46378.3	−	8938.69i	−1.99333	−	0.384182i
$816$	−47.8460	−	824.209i	−0.00205263	−	0.0353592i
$817$	22020.6	−	11352.4i	0.942966	−	0.486133i
$818$	24656.3	+	21364.8i	1.05389	+	0.913205i
$819$	−13896.0	+	6698.33i	−0.592877	+	0.285786i
$820$	7157.52	−	1029.10i	0.304819	−	0.0438263i
$821$	−2616.00	−	13573.1i	−0.111205	−	0.576986i	−0.994195	−	0.107594i	$-0.965685\pi$
$821$	−2616.00	−	13573.1i	−0.111205	−	0.576986i	0.882990	−	0.469392i	$-0.155527\pi$
$822$	20187.7	−	11936.6i	0.856601	−	0.506493i
$823$	32786.6	+	31262.0i	1.38866	+	1.32409i	0.889029	+	0.457851i	$0.151381\pi$
$823$	32786.6	+	31262.0i	1.38866	+	1.32409i	0.499634	+	0.866237i	$0.333468\pi$
$824$	−27996.7	+	2673.36i	−1.18363	+	0.113023i
$825$	225.155	−	6047.47i	0.00950168	−	0.255207i
$826$	−17724.4	+	844.318i	−0.746624	+	0.0355661i
$827$	−39185.8			−1.64767			−0.823835	−	0.566829i	$-0.808170\pi$
$827$	−39185.8			−1.64767			−0.823835	+	0.566829i	$0.808170\pi$
$828$	4132.95	−	2850.52i	0.173466	−	0.119640i
$829$	15515.8			0.650043			0.325022	−	0.945707i	$-0.394628\pi$
$829$	15515.8			0.650043			0.325022	+	0.945707i	$0.394628\pi$
$830$	36784.1	−	1752.24i	1.53831	−	0.0732785i
$831$	14319.8	−	7571.63i	0.597771	−	0.316074i
$832$	12687.0	−	1211.47i	0.528659	−	0.0504808i
$833$	745.581	+	710.910i	0.0310118	+	0.0295697i
$834$	93.8138	+	9032.51i	0.00389509	+	0.375024i
$835$	−2004.04	−	10398.0i	−0.0830572	−	0.430942i
$836$	9827.75	−	1413.02i	0.406579	−	0.0584572i
$837$	1731.81	+	2794.73i	0.0715173	+	0.115412i
$838$	11969.7	+	10371.8i	0.493422	+	0.427553i
$839$	4210.26	−	2170.54i	0.173247	−	0.0893152i	−0.369422	−	0.929262i	$-0.620444\pi$
$839$	4210.26	−	2170.54i	0.173247	−	0.0893152i	0.542669	+	0.839947i	$0.317414\pi$
$840$	−33181.5	+	21814.7i	−1.36294	+	0.896045i
$841$	7394.98	+	1425.26i	0.303209	+	0.0584388i
$842$	−1841.38	−	7590.28i	−0.0753661	−	0.310663i
$843$	−27639.2	+	26907.5i	−1.12924	+	1.09934i
$844$	198.028	−	38.1668i	0.00807631	−	0.00155658i
$845$	8665.29	+	18974.3i	0.352775	+	0.772470i
$846$	290.781	−	10836.0i	0.0118171	−	0.440367i
$847$	14999.1	+	6849.84i	0.608469	+	0.277879i
$848$	23386.7	+	18391.5i	0.947053	+	0.744771i
$849$	−21504.7	−	26768.6i	−0.869306	−	1.08209i
$850$	−189.992	+	109.692i	−0.00766666	+	0.00442635i
$851$	22682.4	+	5219.78i	0.913683	+	0.210261i
$852$	−465.366	−	4391.08i	−0.0187126	−	0.176568i
$853$	−133.286	−	2798.01i	−0.00535008	−	0.112312i	−0.999963	−	0.00864936i	$-0.997247\pi$
$853$	−133.286	−	2798.01i	−0.00535008	−	0.112312i	0.994613	−	0.103663i	$-0.0330562\pi$
$854$	−6382.44	−	917.656i	−0.255741	−	0.0367700i
$855$	−29682.0	+	32453.3i	−1.18726	+	1.29811i
$856$	−6112.26	−	20816.5i	−0.244057	−	0.831182i
$857$	2238.43	−	23441.9i	0.0892222	−	0.934377i	−0.834422	−	0.551126i	$-0.814198\pi$
$857$	2238.43	−	23441.9i	0.0892222	−	0.934377i	0.923644	−	0.383251i	$-0.125196\pi$
$858$	12653.3	+	2930.86i	0.503470	+	0.116617i
$859$	19078.1	−	15003.1i	0.757782	−	0.595926i	−0.162716	−	0.986673i	$-0.552026\pi$
$859$	19078.1	−	15003.1i	0.757782	−	0.595926i	0.920498	+	0.390746i	$0.127783\pi$
$860$	−3767.37	+	913.955i	−0.149380	+	0.0362391i
$861$	−19665.1	−	41903.4i	−0.778381	−	1.65861i
$862$	2738.36	+	5311.68i	0.108201	+	0.209880i
$863$	13504.7	−	21013.7i	0.532682	−	0.828870i	−0.465746	−	0.884919i	$-0.654214\pi$
$863$	13504.7	−	21013.7i	0.532682	−	0.828870i	0.998428	+	0.0560488i	$0.0178503\pi$
$864$	1324.57	+	10426.9i	0.0521562	+	0.410568i
$865$	−13240.0	+	45091.3i	−0.520431	+	1.77243i
$866$	−19401.9	−	7767.33i	−0.761319	−	0.304786i
$867$	−24363.4	+	7429.43i	−0.954353	+	0.291023i
$868$	821.769	+	585.179i	0.0321344	+	0.0228828i
$869$	−39260.9	+	41175.6i	−1.53261	+	1.60735i
$870$	20426.7	−	4157.41i	0.796013	−	0.162011i
$871$	5457.41	−	6939.66i	0.212304	−	0.269967i
$872$	−43791.6	+	28143.2i	−1.70066	+	1.09294i
$873$	5250.22	+	24491.7i	0.203543	+	0.949507i
$874$	−11598.4	+	34837.6i	−0.448881	+	1.34828i
$875$	−26867.9	−	15512.2i	−1.03806	−	0.599323i
$876$	104.532	−	83.9761i	0.00403173	−	0.00323891i
$877$	28819.7	−	11537.7i	1.10966	−	0.444241i	0.256844	−	0.966453i	$-0.417317\pi$
$877$	28819.7	−	11537.7i	1.10966	−	0.444241i	0.852816	+	0.522212i	$0.174893\pi$
$878$	−790.827	−	8281.92i	−0.0303976	−	0.318338i
$879$	−34089.1	+	14059.8i	−1.30808	+	0.539504i
$880$	25943.7	+	2477.32i	0.993821	+	0.0948984i
$881$	−29351.3	−	33873.2i	−1.12244	−	1.29537i	−0.950661	−	0.310232i	$-0.899593\pi$
$881$	−29351.3	−	33873.2i	−1.12244	−	1.29537i	−0.171781	−	0.985135i	$-0.554952\pi$
$882$	16130.5	+	13400.8i	0.615808	+	0.511598i
$883$	44074.9	+	12941.6i	1.67977	+	0.493226i	0.976104	−	0.217302i	$-0.0697258\pi$
$883$	44074.9	+	12941.6i	1.67977	+	0.493226i	0.703669	+	0.710528i	$0.251544\pi$
$884$	41.1153	+	118.795i	0.00156432	+	0.00451980i
$885$	17638.8	−	1023.95i	0.669969	−	0.0388922i
$886$	694.831	−	14586.3i	0.0263468	−	0.553088i
$887$	−9277.15	+	48134.4i	−0.351179	+	1.82209i	0.190715	+	0.981645i	$0.438919\pi$
$887$	−9277.15	+	48134.4i	−0.351179	+	1.82209i	−0.541895	+	0.840446i	$0.682293\pi$
$888$	−17265.1	+	20348.2i	−0.652452	+	0.768964i
$889$	9983.75	−	24938.2i	0.376653	−	0.940833i
$890$	13317.8	−	11540.0i	0.501589	−	0.434630i
$891$	−6326.56	+	31788.1i	−0.237876	+	1.19522i
$892$	−4737.70	+	1391.12i	−0.177836	+	0.0522175i
$893$	−12277.1	−	17240.8i	−0.460065	−	0.646070i
$894$	21941.1	−	34933.5i	0.820828	−	1.30688i
$895$	3570.12	−	6925.07i	0.133336	−	0.258636i
$896$	−10623.4	−	18400.2i	−0.396096	−	0.686059i
$897$	8180.53	−	9875.51i	0.304504	−	0.367596i
$898$	18109.7	−	31366.9i	0.672972	−	1.16562i
$899$	−1645.02	−	2559.70i	−0.0610284	−	0.0949620i
$900$	989.425	−	665.302i	0.0366454	−	0.0246408i
$901$	−864.093	+	1892.10i	−0.0319502	+	0.0699611i
$902$	−9188.28	+	37874.6i	−0.339176	+	1.39810i
$903$	12630.3	+	21360.8i	0.465458	+	0.787202i
$904$	−30065.4	−	10405.7i	−1.10615	−	0.382842i
$905$	−14040.2	−	17853.6i	−0.515706	−	0.655773i
$906$	−2106.31	+	11574.2i	−0.0772378	+	0.424422i
$907$	−25788.3	+	8925.41i	−0.944086	+	0.326751i	−0.755383	−	0.655283i	$-0.772549\pi$
$907$	−25788.3	+	8925.41i	−0.944086	+	0.326751i	−0.188702	+	0.982034i	$0.560428\pi$
$908$	−6228.22	−	4002.63i	−0.227633	−	0.146291i
$909$	1340.50	−	3561.05i	0.0489127	−	0.129937i
$910$	−11560.4	+	13341.4i	−0.421124	+	0.486003i
$911$	11797.8	−	11249.1i	0.429064	−	0.409112i	−0.444532	−	0.895763i	$-0.646630\pi$
$911$	11797.8	−	11249.1i	0.429064	−	0.409112i	0.873596	+	0.486651i	$0.161782\pi$
$912$	−22890.1	−	23512.5i	−0.831102	−	0.853704i
$913$	17331.4	−	50075.8i	0.628243	−	1.81519i
$914$	−24871.7	+	34927.5i	−0.900092	+	1.26400i
$915$	6364.25	+	847.674i	0.229940	+	0.0306265i
$916$	5281.31	−	3760.81i	0.190502	−	0.135656i
$917$	−1231.50	+	8565.25i	−0.0443486	+	0.308451i
$918$	1097.84	−	418.701i	0.0394708	−	0.0150536i
$919$		−	8849.90i		−	0.317662i	−0.987306	−	0.158831i	$-0.949227\pi$
$919$		−	8849.90i		−	0.317662i	0.987306	−	0.158831i	$-0.0507725\pi$
$920$	17517.7	−	27979.3i	0.627761	−	1.00266i
$921$	−14655.4	+	32993.5i	−0.524336	+	1.18043i
$922$	−16359.6	−	8433.97i	−0.584355	−	0.301256i
$923$	−4191.80	−	10470.6i	−0.149485	−	0.373395i
$924$	1983.45	+	9745.37i	0.0706178	+	0.346969i
$925$	5371.63	+	1303.14i	0.190939	+	0.0463212i
$926$	11698.4	−	5342.46i	0.415153	−	0.189594i
$927$	−12194.8	−	28717.5i	−0.432070	−	1.01748i
$928$	−1384.33	−	9628.21i	−0.0489685	−	0.340583i
$929$	4260.44	+	4468.22i	0.150464	+	0.157802i	0.794652	−	0.607065i	$-0.207653\pi$
$929$	4260.44	+	4468.22i	0.150464	+	0.157802i	−0.644189	+	0.764867i	$0.722805\pi$
$930$	3087.30	+	2150.49i	0.108857	+	0.0758250i
$931$	40899.9	+	1948.30i	1.43979	+	0.0685855i
$932$	5082.36	+	242.103i	0.178625	+	0.00850895i
$933$	32463.3	+	22612.6i	1.13912	+	0.793465i
$934$	6311.14	+	6618.94i	0.221099	+	0.231882i
$935$	259.308	+	1803.52i	0.00906980	+	0.0630819i
$936$	5746.77	+	13533.1i	0.200683	+	0.472588i
$937$	49380.8	−	22551.4i	1.72166	−	0.786258i	0.726596	−	0.687064i	$-0.241101\pi$
$937$	49380.8	−	22551.4i	1.72166	−	0.786258i	0.995068	−	0.0991934i	$-0.0316263\pi$
$938$	−24606.2	−	5969.40i	−0.856525	−	0.207791i
$939$	4313.68	+	21194.5i	0.149917	+	0.736590i
$940$	1230.90	+	3074.64i	0.0427102	+	0.106685i
$941$	22542.0	+	11621.2i	0.780921	+	0.402593i	0.802105	−	0.597183i	$-0.203713\pi$
$941$	22542.0	+	11621.2i	0.780921	+	0.402593i	−0.0211841	+	0.999776i	$0.506744\pi$
$942$	12619.1	−	28409.2i	0.436469	−	0.982614i
$943$	29376.3	+	24853.2i	1.01445	+	0.858253i
$944$			13182.9i			0.454520i
$945$	−34175.2	−	27797.1i	−1.17642	−	0.956866i
$946$	2973.50	−	20681.1i	0.102195	−	0.710784i
$947$	−33649.3	+	23961.6i	−1.15465	+	0.822225i	−0.986536	−	0.163542i	$-0.947708\pi$
$947$	−33649.3	+	23961.6i	−1.15465	+	0.822225i	−0.168117	+	0.985767i	$0.553769\pi$
$948$	−11111.0	−	1479.92i	−0.380664	−	0.0507019i
$949$	198.658	−	278.976i	0.00679527	−	0.00954262i
$950$	−2851.94	+	8240.15i	−0.0973992	+	0.281417i
$951$	28900.1	+	29686.0i	0.985435	+	1.01223i
$952$	1499.18	−	1429.46i	0.0510384	−	0.0486651i
$953$	−27707.9	+	31976.6i	−0.941811	+	1.08691i	0.0542758	+	0.998526i	$0.482715\pi$
$953$	−27707.9	+	31976.6i	−0.941811	+	1.08691i	−0.996087	+	0.0883817i	$0.971830\pi$
$954$	−14917.3	+	39627.9i	−0.506253	+	1.34486i
$955$	9206.33	+	5916.55i	0.311947	+	0.200476i
$956$	−7428.83	+	2571.14i	−0.251324	+	0.0869840i
$957$	5370.49	−	29510.8i	0.181404	−	0.996812i
$958$	22855.0	+	29062.4i	0.770783	+	0.980130i
$959$	43344.9	+	15001.8i	1.45952	+	0.505144i
$960$	18523.9	+	31328.4i	0.622768	+	1.05325i
$961$	−6894.02	+	28417.5i	−0.231413	+	0.953897i
$962$	−4928.15	+	10791.2i	−0.165166	+	0.361664i
$963$	19972.4	−	13429.7i	0.668330	−	0.449394i
$964$	−3750.97	−	5836.62i	−0.125322	−	0.195005i
$965$	−13058.1	+	22617.2i	−0.435600	+	0.754481i
$966$	−35509.6	−	9575.72i	−1.18271	−	0.318938i
$967$	−9896.19	−	17140.7i	−0.329100	−	0.570018i	0.653233	−	0.757157i	$-0.273412\pi$
$967$	−9896.19	−	17140.7i	−0.329100	−	0.570018i	−0.982334	+	0.187138i	$0.940079\pi$
$968$	7201.41	−	13968.8i	0.239114	−	0.463816i
$969$	1220.22	−	1942.77i	0.0404531	−	0.0644073i
$970$	16626.9	+	23349.2i	0.550368	+	0.772884i
$971$	22051.4	−	6474.86i	0.728797	−	0.213994i	0.103774	−	0.994601i	$-0.466908\pi$
$971$	22051.4	−	6474.86i	0.728797	−	0.213994i	0.625022	+	0.780607i	$0.285090\pi$
$972$	−5797.14	+	2677.86i	−0.191300	+	0.0883666i
$973$	−13351.3	+	11569.0i	−0.439901	+	0.381176i
$974$	4216.43	−	10532.1i	0.138709	−	0.346479i
$975$	1970.29	−	2322.13i	0.0647177	−	0.0762746i
$976$	−906.599	+	4703.88i	−0.0297331	+	0.154270i
$977$	1494.52	−	31373.9i	0.0489396	−	1.02737i	−0.832189	−	0.554492i	$-0.812913\pi$
$977$	1494.52	−	31373.9i	0.0489396	−	1.02737i	0.881129	−	0.472876i	$-0.156784\pi$
$978$	50070.0	−	2906.60i	1.63708	−	0.0950336i
$979$	−8293.48	−	23962.5i	−0.270747	−	0.782271i
$980$	−6147.60	−	1805.10i	−0.200385	−	0.0588385i
$981$	−44418.7	−	36902.0i	−1.44565	−	1.20101i
$982$	−3065.52	−	3537.80i	−0.0996179	−	0.114965i
$983$	−32723.1	−	3124.67i	−1.06175	−	0.101385i	−0.450466	−	0.892794i	$-0.648742\pi$
$983$	−32723.1	−	3124.67i	−1.06175	−	0.101385i	−0.611288	+	0.791408i	$0.709348\pi$
$984$	−40784.8	+	16821.3i	−1.32131	+	0.544963i
$985$	−1158.07	−	12127.8i	−0.0374610	−	0.392309i
$986$	−1009.50	+	404.142i	−0.0326055	+	0.0130533i
$987$	16527.5	−	13277.5i	0.533005	−	0.428193i
$988$	4327.08	+	2498.24i	0.139335	+	0.0804449i
$989$	−16944.0	−	11766.6i	−0.544781	−	0.378318i
$990$	7774.40	+	36266.7i	0.249582	+	1.16428i
$991$	21977.6	−	14124.1i	0.704480	−	0.452742i	−0.138727	−	0.990331i	$-0.544301\pi$
$991$	21977.6	−	14124.1i	0.704480	−	0.452742i	0.843207	+	0.537589i	$0.180665\pi$
$992$	1085.29	−	1380.06i	0.0347360	−	0.0441704i
$993$	54303.9	−	11052.4i	1.73543	−	0.353208i
$994$	−22321.7	+	23410.3i	−0.712274	+	0.747011i
$995$	−16561.6	−	11793.5i	−0.527677	−	0.375757i
$996$	9986.18	−	3045.21i	0.317695	−	0.0968788i
$997$	−42713.0	−	17099.7i	−1.35681	−	0.543183i	−0.424688	−	0.905340i	$-0.639616\pi$
$997$	−42713.0	−	17099.7i	−1.35681	−	0.543183i	−0.932117	+	0.362157i	$0.882040\pi$
$998$	−925.326	+	3151.37i	−0.0293494	+	0.0999548i
$999$	−27298.7	−	11453.0i	−0.864557	−	0.362721i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	207.4.o.a.11.22	✓	1400
9.5	odd	6	inner	207.4.o.a.149.22	yes	1400
23.21	odd	22	inner	207.4.o.a.182.22	yes	1400
207.113	even	66	inner	207.4.o.a.113.22	yes	1400

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
207.4.o.a.11.22	✓	1400	1.1	even	1	trivial
207.4.o.a.113.22	yes	1400	207.113	even	66	inner
207.4.o.a.149.22	yes	1400	9.5	odd	6	inner
207.4.o.a.182.22	yes	1400	23.21	odd	22	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:	\( N \)	\(=\)	\( 207 = 3^{2} \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 4 \)
Character orbit:	\([\chi]\)	\(=\)	207.o (of order \(66\), degree \(20\), minimal)

\(f(q)\)	\(=\)	\(q+(-2.50996 + 0.119564i) q^{2} +(-4.40022 - 2.76370i) q^{3} +(-1.67815 + 0.160244i) q^{4} +(-8.89914 - 8.48531i) q^{5} +(11.3748 + 6.41068i) q^{6} +(4.83275 + 25.0747i) q^{7} +(24.0908 - 3.46374i) q^{8} +(11.7239 + 24.3218i) q^{9} +(23.3511 + 20.2338i) q^{10} +(39.5179 - 20.3729i) q^{11} +(7.82711 + 3.93280i) q^{12} +(21.9694 + 4.23426i) q^{13} +(-15.1281 - 62.3587i) q^{14} +(15.7073 + 61.9318i) q^{15} +(-46.8103 + 9.02195i) q^{16} +(-1.38454 - 3.03172i) q^{17} +(-32.3346 - 59.6451i) q^{18} +(-120.500 - 55.0307i) q^{19} +(16.2938 + 12.8136i) q^{20} +(48.0338 - 123.690i) q^{21} +(-96.7526 + 55.8601i) q^{22} +(6.54965 + 110.110i) q^{23} +(-115.578 - 51.3386i) q^{24} +(1.24641 + 26.1655i) q^{25} +(-55.6488 - 8.00108i) q^{26} +(15.6304 - 139.423i) q^{27} +(-12.1282 - 41.3047i) q^{28} +(-12.3419 + 129.250i) q^{29} +(-46.8296 - 153.569i) q^{30} +(-18.4210 + 14.4864i) q^{31} +(-72.8062 + 17.6626i) q^{32} +(-230.192 - 19.5704i) q^{33} +(3.83764 + 7.44397i) q^{34} +(169.759 - 264.150i) q^{35} +(-23.5719 - 38.9370i) q^{36} +(59.4484 - 202.463i) q^{37} +(309.031 + 123.717i) q^{38} +(-84.9682 - 79.3487i) q^{39} +(-243.778 - 173.594i) q^{40} +(240.732 - 252.472i) q^{41} +(-105.774 + 316.202i) q^{42} +(-115.607 + 147.007i) q^{43} +(-63.0524 + 40.5213i) q^{44} +(102.045 - 315.924i) q^{45} +(-29.6045 - 275.588i) q^{46} +(138.367 + 79.8864i) q^{47} +(230.910 + 89.6712i) q^{48} +(-286.954 + 114.879i) q^{49} +(-6.25691 - 65.5253i) q^{50} +(-2.28649 + 17.1667i) q^{51} +(-37.5466 - 3.58526i) q^{52} +(-408.699 - 471.663i) q^{53} +(-22.5618 + 351.815i) q^{54} +(-524.545 - 154.020i) q^{55} +(203.277 + 587.330i) q^{56} +(378.140 + 575.174i) q^{57} +(15.5240 - 325.889i) q^{58} +(52.3345 - 271.537i) q^{59} +(-36.2835 - 101.414i) q^{60} +(37.3477 - 93.2900i) q^{61} +(44.5039 - 38.5628i) q^{62} +(-553.203 + 411.514i) q^{63} +(546.556 - 160.483i) q^{64} +(-159.580 - 224.099i) q^{65} +(580.114 + 21.5983i) q^{66} +(180.812 - 350.727i) q^{67} +(2.80929 + 4.86583i) q^{68} +(275.490 - 502.608i) q^{69} +(-394.506 + 683.305i) q^{70} +(-272.534 - 424.072i) q^{71} +(366.683 + 545.323i) q^{72} +(6.35885 - 13.9239i) q^{73} +(-125.006 + 515.282i) q^{74} +(66.8290 - 118.579i) q^{75} +(211.036 + 73.0404i) q^{76} +(701.824 + 892.441i) q^{77} +(222.754 + 189.003i) q^{78} +(-1209.26 + 418.530i) q^{79} +(493.126 + 316.913i) q^{80} +(-454.100 + 570.293i) q^{81} +(-574.041 + 662.479i) q^{82} +(862.586 - 822.474i) q^{83} +(-60.7873 + 215.269i) q^{84} +(-13.4039 + 38.7280i) q^{85} +(272.594 - 382.804i) q^{86} +(411.516 - 534.620i) q^{87} +(881.451 - 627.679i) q^{88} +(81.1665 - 564.526i) q^{89} +(-218.357 + 805.159i) q^{90} +571.340i q^{91} +(-28.6357 - 183.731i) q^{92} +(121.092 - 12.8333i) q^{93} +(-356.849 - 183.968i) q^{94} +(605.397 + 1512.21i) q^{95} +(369.178 + 123.495i) q^{96} +(901.558 + 218.716i) q^{97} +(706.509 - 322.652i) q^{98} +(958.809 + 722.296i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 1400 q - 27 q^{2} - 22 q^{3} - 281 q^{4} - 33 q^{5} + 29 q^{6} - 11 q^{7} - 22 q^{9} - 44 q^{10} - 33 q^{11} + 86 q^{12} - 9 q^{13} - 33 q^{14} + 726 q^{15} + 999 q^{16} + 51 q^{18} - 44 q^{19} - 33 q^{20}+ \cdots - 9262 q^{99}+O(q^{100}) \) 1400 * q - 27 * q^2 - 22 * q^3 - 281 * q^4 - 33 * q^5 + 29 * q^6 - 11 * q^7 - 22 * q^9 - 44 * q^10 - 33 * q^11 + 86 * q^12 - 9 * q^13 - 33 * q^14 + 726 * q^15 + 999 * q^16 + 51 * q^18 - 44 * q^19 - 33 * q^20 + 638 * q^21 + 252 * q^23 - 2564 * q^24 + 1397 * q^25 - 178 * q^27 - 44 * q^28 - 135 * q^29 - 1518 * q^30 - 45 * q^31 - 339 * q^32 + 1914 * q^33 - 11 * q^34 - 2137 * q^36 - 44 * q^37 - 33 * q^38 + 374 * q^39 + 979 * q^40 + 441 * q^41 - 22 * q^42 - 11 * q^43 + 516 * q^46 - 1992 * q^47 - 20 * q^48 - 4633 * q^49 - 6231 * q^50 - 22 * q^51 + 178 * q^52 + 2640 * q^54 + 256 * q^55 + 17391 * q^56 + 2090 * q^57 + 320 * q^58 - 2061 * q^59 + 418 * q^60 - 11 * q^61 - 2112 * q^63 + 8546 * q^64 - 12969 * q^65 - 5775 * q^66 - 11 * q^67 - 519 * q^69 - 1582 * q^70 - 4156 * q^72 - 36 * q^73 - 10065 * q^74 - 7876 * q^75 - 11 * q^76 + 1317 * q^77 - 10053 * q^78 - 11 * q^79 + 12442 * q^81 + 698 * q^82 + 14025 * q^83 + 16720 * q^84 + 241 * q^85 - 33 * q^86 + 11672 * q^87 - 1419 * q^88 - 37136 * q^90 + 3141 * q^92 + 1138 * q^93 + 396 * q^94 + 5883 * q^95 + 9218 * q^96 + 6325 * q^97 - 9262 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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