LMFDB - Embedded newform 13.5.f.a.7.4

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [13,5,Mod(2,13)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(13, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([1]))

N = Newforms(chi, 5, names="a")

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

chi := DirichletCharacter("13.2");

S:= CuspForms(chi, 5);

N := Newforms(S);

Level:	$ N $	$=$	$ 13 $
Weight:	$ k $	$=$	$ 5 $
Character orbit:	$[\chi]$	$=$	13.f (of order $12$, degree $4$, 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:	$1.34380952009$
Analytic rank:	$0$
Dimension:	$16$
Relative dimension:	$4$ over $\Q(\zeta_{12})$
Coefficient field:	$\mathbb{Q}[x]/(x^{16} + \cdots)$
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{16} + 152 x^{14} + 9190 x^{12} + 285720 x^{10} + 4862025 x^{8} + 43573680 x^{6} + 169417008 x^{4} + \cdots + 3779136 $ x^16 + 152x^14 + 9190x^12 + 285720x^10 + 4862025x^8 + 43573680x^6 + 169417008x^4 + 100636992*x^2 + 3779136
Coefficient ring:	$\Z[a_1, \ldots, a_{9}]$
Coefficient ring index:	$ 2^{4}\cdot 3^{2}\cdot 13^{2} $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			7.4
Root			$3.98977i$ of defining polynomial
Character	$\chi$	$=$	13.7
Dual form			13.5.f.a.2.4

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(5.50893 - 1.47611i) q^{2} +(-4.28079 + 7.41455i) q^{3} +(14.3130 - 8.26362i) q^{4} +(-29.3294 - 29.3294i) q^{5} +(-12.6379 + 47.1652i) q^{6} +(45.8361 + 12.2817i) q^{7} +(2.12627 - 2.12627i) q^{8} +(3.84960 + 6.66770i) q^{9} +O(q^{10})$	\(q+(5.50893 - 1.47611i) q^{2} +(-4.28079 + 7.41455i) q^{3} +(14.3130 - 8.26362i) q^{4} +(-29.3294 - 29.3294i) q^{5} +(-12.6379 + 47.1652i) q^{6} +(45.8361 + 12.2817i) q^{7} +(2.12627 - 2.12627i) q^{8} +(3.84960 + 6.66770i) q^{9} +(-204.867 - 118.280i) q^{10} +(11.4581 + 42.7622i) q^{11} +141.499i q^{12} +(102.310 - 134.513i) q^{13} +270.637 q^{14} +(343.018 - 91.9113i) q^{15} +(-123.643 + 214.156i) q^{16} +(-205.648 + 118.731i) q^{17} +(31.0495 + 31.0495i) q^{18} +(127.702 - 476.590i) q^{19} +(-662.159 - 177.425i) q^{20} +(-287.279 + 287.279i) q^{21} +(126.244 + 218.661i) q^{22} +(-258.218 - 149.082i) q^{23} +(6.66321 + 24.8674i) q^{24} +1095.43i q^{25} +(365.064 - 892.042i) q^{26} -759.406 q^{27} +(757.544 - 202.983i) q^{28} +(185.692 - 321.628i) q^{29} +(1753.99 - 1012.67i) q^{30} +(625.946 + 625.946i) q^{31} +(-377.475 + 1408.76i) q^{32} +(-366.113 - 98.0995i) q^{33} +(-957.641 + 957.641i) q^{34} +(-984.129 - 1704.56i) q^{35} +(110.199 + 63.6233i) q^{36} +(197.689 + 737.784i) q^{37} -2814.01i q^{38} +(559.381 + 1334.41i) q^{39} -124.724 q^{40} +(-671.311 + 179.877i) q^{41} +(-1158.54 + 2006.65i) q^{42} +(975.366 - 563.128i) q^{43} +(517.371 + 517.371i) q^{44} +(82.6533 - 308.466i) q^{45} +(-1642.57 - 440.125i) q^{46} +(609.937 - 609.937i) q^{47} +(-1058.58 - 1833.52i) q^{48} +(-129.221 - 74.6059i) q^{49} +(1616.98 + 6034.64i) q^{50} -2033.05i q^{51} +(352.807 - 2770.73i) q^{52} +897.855 q^{53} +(-4183.52 + 1120.97i) q^{54} +(918.131 - 1590.25i) q^{55} +(123.574 - 71.3455i) q^{56} +(2987.04 + 2987.04i) q^{57} +(548.205 - 2045.93i) q^{58} +(480.526 + 128.756i) q^{59} +(4150.10 - 4150.10i) q^{60} +(-124.214 - 215.146i) q^{61} +(4372.26 + 2524.32i) q^{62} +(94.5596 + 352.901i) q^{63} +4361.35i q^{64} +(-6945.87 + 944.475i) q^{65} -2161.69 q^{66} +(1803.04 - 483.124i) q^{67} +(-1962.30 + 3398.80i) q^{68} +(2210.76 - 1276.38i) q^{69} +(-7937.63 - 7937.63i) q^{70} +(776.613 - 2898.36i) q^{71} +(22.3626 + 5.99204i) q^{72} +(-6818.40 + 6818.40i) q^{73} +(2178.11 + 3772.59i) q^{74} +(-8122.11 - 4689.30i) q^{75} +(-2110.56 - 7876.72i) q^{76} +2100.78i q^{77} +(5051.33 + 6525.44i) q^{78} +2503.91 q^{79} +(9907.45 - 2654.69i) q^{80} +(2939.04 - 5090.57i) q^{81} +(-3432.69 + 1981.86i) q^{82} +(7971.73 + 7971.73i) q^{83} +(-1737.86 + 6485.78i) q^{84} +(9513.85 + 2549.23i) q^{85} +(4541.98 - 4541.98i) q^{86} +(1589.82 + 2753.65i) q^{87} +(115.287 + 66.5609i) q^{88} +(-3752.75 - 14005.5i) q^{89} -1821.33i q^{90} +(6341.55 - 4908.98i) q^{91} -4927.83 q^{92} +(-7320.65 + 1961.56i) q^{93} +(2459.76 - 4260.44i) q^{94} +(-17723.5 + 10232.7i) q^{95} +(-8829.40 - 8829.40i) q^{96} +(-1917.54 + 7156.34i) q^{97} +(-821.997 - 220.254i) q^{98} +(-241.017 + 241.017i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 16 q - 4 q^{2} - 2 q^{3} - 6 q^{4} + 8 q^{5} - 38 q^{6} + 56 q^{7} + 90 q^{8} - 164 q^{9}+O(q^{10}) $ 16 * q - 4 * q^2 - 2 * q^3 - 6 * q^4 + 8 * q^5 - 38 * q^6 + 56 * q^7 + 90 * q^8 - 164 * q^9	\( 16 q - 4 q^{2} - 2 q^{3} - 6 q^{4} + 8 q^{5} - 38 q^{6} + 56 q^{7} + 90 q^{8} - 164 q^{9} - 486 q^{10} - 100 q^{11} + 294 q^{13} + 808 q^{14} + 346 q^{15} + 230 q^{16} + 984 q^{17} + 2434 q^{18} - 1498 q^{19} - 3962 q^{20} - 1076 q^{21} - 1524 q^{22} - 1014 q^{23} - 2142 q^{24} + 614 q^{26} + 3352 q^{27} + 5764 q^{28} + 814 q^{29} + 9162 q^{30} + 4060 q^{31} - 4996 q^{32} - 5636 q^{33} - 2502 q^{34} - 4892 q^{35} - 15750 q^{36} - 1790 q^{37} + 6982 q^{39} + 18816 q^{40} + 4280 q^{41} - 1204 q^{42} - 1368 q^{43} + 10736 q^{44} - 6806 q^{45} - 15246 q^{46} + 1484 q^{47} - 3002 q^{48} - 11820 q^{49} - 13574 q^{50} + 1432 q^{52} + 7204 q^{53} + 13240 q^{54} + 6936 q^{55} + 8124 q^{56} + 12736 q^{57} + 3030 q^{58} - 2380 q^{59} - 6472 q^{60} - 162 q^{61} + 19614 q^{62} + 12004 q^{63} - 5248 q^{65} - 23872 q^{66} - 14854 q^{67} - 6444 q^{68} + 2412 q^{69} - 34524 q^{70} - 8050 q^{71} + 15420 q^{72} - 15448 q^{73} - 2882 q^{74} + 8280 q^{75} + 10622 q^{76} - 11672 q^{78} - 17064 q^{79} + 2564 q^{80} + 2128 q^{81} - 5346 q^{82} + 12788 q^{83} + 25948 q^{84} + 35382 q^{85} + 67260 q^{86} + 29342 q^{87} + 40836 q^{88} + 20492 q^{89} + 8996 q^{91} - 49884 q^{92} - 78920 q^{93} - 30606 q^{94} - 98574 q^{95} - 94664 q^{96} + 50944 q^{97} + 61484 q^{98} - 21632 q^{99}+O(q^{100}) \) 16 * q - 4 * q^2 - 2 * q^3 - 6 * q^4 + 8 * q^5 - 38 * q^6 + 56 * q^7 + 90 * q^8 - 164 * q^9 - 486 * q^10 - 100 * q^11 + 294 * q^13 + 808 * q^14 + 346 * q^15 + 230 * q^16 + 984 * q^17 + 2434 * q^18 - 1498 * q^19 - 3962 * q^20 - 1076 * q^21 - 1524 * q^22 - 1014 * q^23 - 2142 * q^24 + 614 * q^26 + 3352 * q^27 + 5764 * q^28 + 814 * q^29 + 9162 * q^30 + 4060 * q^31 - 4996 * q^32 - 5636 * q^33 - 2502 * q^34 - 4892 * q^35 - 15750 * q^36 - 1790 * q^37 + 6982 * q^39 + 18816 * q^40 + 4280 * q^41 - 1204 * q^42 - 1368 * q^43 + 10736 * q^44 - 6806 * q^45 - 15246 * q^46 + 1484 * q^47 - 3002 * q^48 - 11820 * q^49 - 13574 * q^50 + 1432 * q^52 + 7204 * q^53 + 13240 * q^54 + 6936 * q^55 + 8124 * q^56 + 12736 * q^57 + 3030 * q^58 - 2380 * q^59 - 6472 * q^60 - 162 * q^61 + 19614 * q^62 + 12004 * q^63 - 5248 * q^65 - 23872 * q^66 - 14854 * q^67 - 6444 * q^68 + 2412 * q^69 - 34524 * q^70 - 8050 * q^71 + 15420 * q^72 - 15448 * q^73 - 2882 * q^74 + 8280 * q^75 + 10622 * q^76 - 11672 * q^78 - 17064 * q^79 + 2564 * q^80 + 2128 * q^81 - 5346 * q^82 + 12788 * q^83 + 25948 * q^84 + 35382 * q^85 + 67260 * q^86 + 29342 * q^87 + 40836 * q^88 + 20492 * q^89 + 8996 * q^91 - 49884 * q^92 - 78920 * q^93 - 30606 * q^94 - 98574 * q^95 - 94664 * q^96 + 50944 * q^97 + 61484 * q^98 - 21632 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/13\mathbb{Z}\right)^\times$.

$n$	$2$
$\chi(n)$	$e\left(\frac{11}{12}\right)$

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 $

$2$	5.50893	−	1.47611i	1.37723	−	0.369028i	0.507118	−	0.861877i	$-0.330711\pi$
$2$	5.50893	−	1.47611i	1.37723	−	0.369028i	0.870115	+	0.492848i	$0.164044\pi$
$3$	−4.28079	+	7.41455i	−0.475644	+	0.823839i	−0.999611	−	0.0278994i	$-0.991118\pi$
$3$	−4.28079	+	7.41455i	−0.475644	+	0.823839i	0.523967	+	0.851739i	$0.324452\pi$
$4$	14.3130	−	8.26362i	0.894563	−	0.516476i
$5$	−29.3294	−	29.3294i	−1.17318	−	1.17318i	−0.981448	−	0.191728i	$-0.938591\pi$
$5$	−29.3294	−	29.3294i	−1.17318	−	1.17318i	−0.191728	−	0.981448i	$-0.561409\pi$
$6$	−12.6379	+	47.1652i	−0.351052	+	1.31014i
$7$	45.8361	+	12.2817i	0.935430	+	0.250648i	0.694169	−	0.719812i	$-0.255772\pi$
$7$	45.8361	+	12.2817i	0.935430	+	0.250648i	0.241262	+	0.970460i	$0.422439\pi$
$8$	2.12627	−	2.12627i	0.0332229	−	0.0332229i
$9$	3.84960	+	6.66770i	0.0475259	+	0.0823173i
$10$	−204.867	−	118.280i	−2.04867	−	1.18280i
$11$	11.4581	+	42.7622i	0.0946951	+	0.353407i	0.996973	−	0.0777480i	$-0.0247730\pi$
$11$	11.4581	+	42.7622i	0.0946951	+	0.353407i	−0.902278	+	0.431155i	$0.858106\pi$
$12$			141.499i			0.982635i
$13$	102.310	−	134.513i	0.605386	−	0.795932i
$13$	102.310	−	134.513i	0.605386	−	0.795932i
$14$	270.637			1.38080
$15$	343.018	−	91.9113i	1.52452	−	0.408495i
$16$	−123.643	+	214.156i	−0.482981	+	0.836547i
$17$	−205.648	+	118.731i	−0.711585	+	0.410834i	−0.811648	−	0.584147i	$-0.801429\pi$
$17$	−205.648	+	118.731i	−0.711585	+	0.410834i	0.100063	+	0.994981i	$0.468096\pi$
$18$	31.0495	+	31.0495i	0.0958317	+	0.0958317i
$19$	127.702	−	476.590i	0.353745	−	1.32019i	−0.528311	−	0.849051i	$-0.677175\pi$
$19$	127.702	−	476.590i	0.353745	−	1.32019i	0.882056	−	0.471144i	$-0.156159\pi$
$20$	−662.159	−	177.425i	−1.65540	−	0.443563i
$21$	−287.279	+	287.279i	−0.651425	+	0.651425i
$22$	126.244	+	218.661i	0.260834	+	0.451778i
$23$	−258.218	−	149.082i	−0.488125	−	0.281819i	0.235671	−	0.971833i	$-0.424271\pi$
$23$	−258.218	−	149.082i	−0.488125	−	0.281819i	−0.723796	+	0.690014i	$0.757604\pi$
$24$	6.66321	+	24.8674i	0.0115681	+	0.0431726i
$25$			1095.43i			1.75269i
$26$	365.064	−	892.042i	0.540036	−	1.31959i
$27$	−759.406			−1.04171
$28$	757.544	−	202.983i	0.966255	−	0.258907i
$29$	185.692	−	321.628i	0.220799	−	0.382435i	−0.734252	−	0.678877i	$-0.762467\pi$
$29$	185.692	−	321.628i	0.220799	−	0.382435i	0.955051	+	0.296442i	$0.0958002\pi$
$30$	1753.99	−	1012.67i	1.94888	−	1.12518i
$31$	625.946	+	625.946i	0.651348	+	0.651348i	0.953318	−	0.301969i	$-0.0976441\pi$
$31$	625.946	+	625.946i	0.651348	+	0.651348i	−0.301969	+	0.953318i	$0.597644\pi$
$32$	−377.475	+	1408.76i	−0.368628	+	1.37574i
$33$	−366.113	−	98.0995i	−0.336191	−	0.0900822i
$34$	−957.641	+	957.641i	−0.828409	+	0.828409i
$35$	−984.129	−	1704.56i	−0.803371	−	1.39148i
$36$	110.199	+	63.6233i	0.0850299	+	0.0490920i
$37$	197.689	+	737.784i	0.144404	+	0.538922i	0.999781	+	0.0209170i	$0.00665856\pi$
$37$	197.689	+	737.784i	0.144404	+	0.538922i	−0.855377	+	0.518005i	$0.826675\pi$
$38$		−	2814.01i		−	1.94876i
$39$	559.381	+	1334.41i	0.367772	+	0.877321i
$40$	−124.724			−0.0779527
$41$	−671.311	+	179.877i	−0.399352	+	0.107006i	−0.452905	−	0.891559i	$-0.649612\pi$
$41$	−671.311	+	179.877i	−0.399352	+	0.107006i	0.0535525	+	0.998565i	$0.482946\pi$
$42$	−1158.54	+	2006.65i	−0.656770	+	1.13756i
$43$	975.366	−	563.128i	0.527510	−	0.304558i	−0.212492	−	0.977163i	$-0.568158\pi$
$43$	975.366	−	563.128i	0.527510	−	0.304558i	0.740002	+	0.672605i	$0.234825\pi$
$44$	517.371	+	517.371i	0.267237	+	0.267237i
$45$	82.6533	−	308.466i	0.0408164	−	0.152329i
$46$	−1642.57	−	440.125i	−0.776261	−	0.207998i
$47$	609.937	−	609.937i	0.276114	−	0.276114i	−0.555441	−	0.831556i	$-0.687451\pi$
$47$	609.937	−	609.937i	0.276114	−	0.276114i	0.831556	+	0.555441i	$0.187451\pi$
$48$	−1058.58	−	1833.52i	−0.459454	−	0.795797i
$49$	−129.221	−	74.6059i	−0.0538197	−	0.0310728i
$50$	1616.98	+	6034.64i	0.646791	+	2.41386i
$51$		−	2033.05i		−	0.781642i
$52$	352.807	−	2770.73i	0.130476	−	1.02468i
$53$	897.855			0.319635			0.159818	−	0.987147i	$-0.448909\pi$
$53$	897.855			0.319635			0.159818	+	0.987147i	$0.448909\pi$
$54$	−4183.52	+	1120.97i	−1.43468	+	0.384420i
$55$	918.131	−	1590.25i	0.303514	−	0.525702i
$56$	123.574	−	71.3455i	0.0394050	−	0.0227505i
$57$	2987.04	+	2987.04i	0.919371	+	0.919371i
$58$	548.205	−	2045.93i	0.162962	−	0.608183i
$59$	480.526	+	128.756i	0.138042	+	0.0369883i	0.327179	−	0.944963i	$-0.393902\pi$
$59$	480.526	+	128.756i	0.138042	+	0.0369883i	−0.189136	+	0.981951i	$0.560569\pi$
$60$	4150.10	−	4150.10i	1.15280	−	1.15280i
$61$	−124.214	−	215.146i	−0.0333820	−	0.0578193i	0.848852	−	0.528631i	$-0.177294\pi$
$61$	−124.214	−	215.146i	−0.0333820	−	0.0578193i	−0.882234	+	0.470812i	$0.843961\pi$
$62$	4372.26	+	2524.32i	1.13742	+	0.656692i
$63$	94.5596	+	352.901i	0.0238245	+	0.0889144i
$64$			4361.35i			1.06478i
$65$	−6945.87	+	944.475i	−1.64399	+	0.223544i
$66$	−2161.69			−0.496257
$67$	1803.04	−	483.124i	0.401658	−	0.107624i	−0.0523342	−	0.998630i	$-0.516666\pi$
$67$	1803.04	−	483.124i	0.401658	−	0.107624i	0.453992	+	0.891006i	$0.349999\pi$
$68$	−1962.30	+	3398.80i	−0.424372	+	0.735034i
$69$	2210.76	−	1276.38i	0.464347	−	0.268091i
$70$	−7937.63	−	7937.63i	−1.61992	−	1.61992i
$71$	776.613	−	2898.36i	0.154059	−	0.574957i	−0.845125	−	0.534569i	$-0.820474\pi$
$71$	776.613	−	2898.36i	0.154059	−	0.574957i	0.999184	−	0.0403881i	$-0.0128594\pi$
$72$	22.3626	+	5.99204i	0.00431377	+	0.00115587i
$73$	−6818.40	+	6818.40i	−1.27949	+	1.27949i	−0.338536	+	0.940953i	$0.609932\pi$
$73$	−6818.40	+	6818.40i	−1.27949	+	1.27949i	−0.940953	+	0.338536i	$0.890068\pi$
$74$	2178.11	+	3772.59i	0.397755	+	0.688932i
$75$	−8122.11	−	4689.30i	−1.44393	−	0.833654i
$76$	−2110.56	−	7876.72i	−0.365402	−	1.36370i
$77$			2100.78i			0.354323i
$78$	5051.33	+	6525.44i	0.830264	+	1.07256i
$79$	2503.91			0.401204			0.200602	−	0.979673i	$-0.435710\pi$
$79$	2503.91			0.401204			0.200602	+	0.979673i	$0.435710\pi$
$80$	9907.45	−	2654.69i	1.54804	−	0.414796i
$81$	2939.04	−	5090.57i	0.447957	−	0.775884i
$82$	−3432.69	+	1981.86i	−0.510513	+	0.294745i
$83$	7971.73	+	7971.73i	1.15717	+	1.15717i	0.985082	+	0.172086i	$0.0550506\pi$
$83$	7971.73	+	7971.73i	1.15717	+	1.15717i	0.172086	+	0.985082i	$0.444949\pi$
$84$	−1737.86	+	6485.78i	−0.246295	+	0.919187i
$85$	9513.85	+	2549.23i	1.31680	+	0.352834i
$86$	4541.98	−	4541.98i	0.614113	−	0.614113i
$87$	1589.82	+	2753.65i	0.210043	+	0.363806i
$88$	115.287	+	66.5609i	0.0148872	+	0.00859515i
$89$	−3752.75	−	14005.5i	−0.473772	−	1.76814i	−0.626028	−	0.779801i	$-0.715320\pi$
$89$	−3752.75	−	14005.5i	−0.473772	−	1.76814i	0.152255	−	0.988341i	$-0.451346\pi$
$90$		−	1821.33i		−	0.224855i
$91$	6341.55	−	4908.98i	0.765795	−	0.592800i
$92$	−4927.83			−0.582211
$93$	−7320.65	+	1961.56i	−0.846416	+	0.226796i
$94$	2459.76	−	4260.44i	0.278380	−	0.482168i
$95$	−17723.5	+	10232.7i	−1.96383	+	1.13382i
$96$	−8829.40	−	8829.40i	−0.958051	−	0.958051i
$97$	−1917.54	+	7156.34i	−0.203798	+	0.760585i	0.786015	+	0.618208i	$0.212141\pi$
$97$	−1917.54	+	7156.34i	−0.203798	+	0.760585i	−0.989813	+	0.142377i	$0.954526\pi$
$98$	−821.997	−	220.254i	−0.0855891	−	0.0229335i
$99$	−241.017	+	241.017i	−0.0245910	+	0.0245910i
$100$	9052.21	+	15678.9i	0.905221	+	1.56789i
$101$	213.602	+	123.323i	0.0209393	+	0.0120893i	0.510433	−	0.859917i	$-0.329485\pi$
$101$	213.602	+	123.323i	0.0209393	+	0.0120893i	−0.489494	+	0.872007i	$0.662818\pi$
$102$	−3001.02	−	11199.9i	−0.288448	−	1.07650i
$103$			6944.63i			0.654598i	0.944921	+	0.327299i	$0.106138\pi$
$103$			6944.63i			0.654598i	−0.944921	+	0.327299i	$0.893862\pi$
$104$	−68.4707	−	503.548i	−0.00633050	−	0.0465559i
$105$	16851.4			1.52847
$106$	4946.22	−	1325.34i	0.440212	−	0.117954i
$107$	744.542	−	1289.58i	0.0650311	−	0.112637i	−0.831677	−	0.555260i	$-0.812619\pi$
$107$	744.542	−	1289.58i	0.0650311	−	0.112637i	0.896708	+	0.442623i	$0.145952\pi$
$108$	−10869.4	+	6275.44i	−0.931875	+	0.538018i
$109$	−12063.2	−	12063.2i	−1.01534	−	1.01534i	−0.999881	−	0.0154553i	$-0.995080\pi$
$109$	−12063.2	−	12063.2i	−1.01534	−	1.01534i	−0.0154553	−	0.999881i	$-0.504920\pi$
$110$	2710.53	−	10115.8i	0.224011	−	0.836020i
$111$	−6316.61	−	1692.53i	−0.512670	−	0.137370i
$112$	−8297.53	+	8297.53i	−0.661474	+	0.661474i
$113$	−4538.54	−	7860.98i	−0.355434	−	0.615630i	0.631758	−	0.775166i	$-0.282334\pi$
$113$	−4538.54	−	7860.98i	−0.355434	−	0.615630i	−0.987192	+	0.159535i	$0.949000\pi$
$114$	20864.6	+	12046.2i	1.60546	+	0.926914i
$115$	3200.89	+	11945.9i	0.242033	+	0.903280i
$116$		−	6137.95i		−	0.456150i
$117$	1290.74	+	164.355i	0.0942905	+	0.0120063i
$118$	2837.24			0.203766
$119$	−10884.3	+	2916.45i	−0.768613	+	0.205949i
$120$	533.919	−	924.775i	0.0370777	−	0.0642205i
$121$	10982.2	−	6340.55i	0.750096	−	0.433068i
$122$	−1001.87	−	1001.87i	−0.0673118	−	0.0673118i
$123$	1540.03	−	5747.49i	0.101794	−	0.379899i
$124$	14131.7	+	3786.59i	0.919078	+	0.246266i
$125$	13797.4	−	13797.4i	0.883033	−	0.883033i
$126$	1041.84	+	1804.53i	0.0656239	+	0.113664i
$127$	−223.651	−	129.125i	−0.0138664	−	0.00800577i	0.493051	−	0.870001i	$-0.335882\pi$
$127$	−223.651	−	129.125i	−0.0138664	−	0.00800577i	−0.506917	+	0.861995i	$0.669215\pi$
$128$	398.257	+	1486.31i	0.0243077	+	0.0907174i
$129$			9642.53i			0.579444i
$130$	−36870.2	+	15455.9i	−2.18167	+	0.914553i
$131$	−19031.9			−1.10902			−0.554511	−	0.832177i	$-0.687095\pi$
$131$	−19031.9			−1.10902			−0.554511	+	0.832177i	$0.687095\pi$
$132$	−6050.83	+	1621.31i	−0.347270	+	0.0930507i
$133$	11706.7	−	20276.6i	0.661808	−	1.14628i
$134$	9219.69	−	5322.99i	0.513460	−	0.296446i
$135$	22272.9	+	22272.9i	1.22211	+	1.22211i
$136$	−184.809	+	689.716i	−0.00999183	+	0.0372900i
$137$	31642.9	+	8478.70i	1.68591	+	0.451740i	0.969330	−	0.245761i	$-0.0790378\pi$
$137$	31642.9	+	8478.70i	1.68591	+	0.451740i	0.716584	+	0.697500i	$0.245704\pi$
$138$	10294.8	−	10294.8i	0.540581	−	0.540581i
$139$	−9102.92	−	15766.7i	−0.471141	−	0.816041i	0.528314	−	0.849049i	$-0.322824\pi$
$139$	−9102.92	−	15766.7i	−0.471141	−	0.816041i	−0.999455	+	0.0330086i	$0.989491\pi$
$140$	−28171.7	−	16264.9i	−1.43733	−	0.829844i
$141$	1911.40	+	7133.42i	0.0961418	+	0.358806i
$142$		−	17113.2i		−	0.848702i
$143$	6924.33	+	2833.75i	0.338615	+	0.138577i
$144$	−1903.91			−0.0918164
$145$	−14879.4	+	3986.92i	−0.707700	+	0.189628i
$146$	−27497.4	+	47626.8i	−1.28999	+	2.23432i
$147$	1106.34	−	638.745i	0.0511980	−	0.0295592i
$148$	8926.29	+	8926.29i	0.407519	+	0.407519i
$149$	−2763.08	+	10311.9i	−0.124457	+	0.464481i	−0.999820	−	0.0189862i	$-0.993956\pi$
$149$	−2763.08	+	10311.9i	−0.124457	+	0.464481i	0.875362	+	0.483467i	$0.160623\pi$
$150$	−51666.1	−	13843.9i	−2.29627	−	0.615284i
$151$	6497.73	−	6497.73i	0.284976	−	0.284976i	−0.550114	−	0.835090i	$-0.685416\pi$
$151$	6497.73	−	6497.73i	0.284976	−	0.284976i	0.835090	+	0.550114i	$0.185416\pi$
$152$	−741.829	−	1284.89i	−0.0321083	−	0.0556131i
$153$	−1583.33	−	914.133i	−0.0676375	−	0.0390505i
$154$	3100.99	+	11573.0i	0.130755	+	0.487985i
$155$		−	36717.2i		−	1.52829i
$156$	19033.4	+	14476.8i	0.782111	+	0.594873i
$157$	−41173.9			−1.67041			−0.835203	−	0.549941i	$-0.814650\pi$
$157$	−41173.9			−1.67041			−0.835203	+	0.549941i	$0.814650\pi$
$158$	13793.9	−	3696.06i	0.552551	−	0.148056i
$159$	−3843.53	+	6657.19i	−0.152032	+	0.263328i
$160$	52389.1	−	30246.8i	2.04645	−	1.18152i
$161$	−10004.7	−	10004.7i	−0.385969	−	0.385969i
$162$	8676.73	−	32382.0i	0.330618	−	1.23388i
$163$	251.446	+	67.3748i	0.00946389	+	0.00253584i	0.263548	−	0.964646i	$-0.415107\pi$
$163$	251.446	+	67.3748i	0.00946389	+	0.00253584i	−0.254084	+	0.967182i	$0.581774\pi$
$164$	−8122.04	+	8122.04i	−0.301980	+	0.301980i
$165$	7860.66	+	13615.1i	0.288730	+	0.500094i
$166$	55682.9	+	32148.5i	2.02072	+	1.16666i
$167$	11267.0	+	42049.0i	0.403994	+	1.50773i	0.805903	+	0.592048i	$0.201680\pi$
$167$	11267.0	+	42049.0i	0.403994	+	1.50773i	−0.401909	+	0.915680i	$0.631653\pi$
$168$			1221.66i			0.0432845i
$169$	−7626.24	−	27524.0i	−0.267016	−	0.963692i
$170$	56174.1			1.94374
$171$	3669.36	−	983.203i	0.125487	−	0.0336241i
$172$	9306.94	−	16120.1i	0.314594	−	0.544893i
$173$	−22529.2	+	13007.2i	−0.752755	+	0.434603i	−0.826688	−	0.562660i	$-0.809778\pi$
$173$	−22529.2	+	13007.2i	−0.752755	+	0.434603i	0.0739337	+	0.997263i	$0.476445\pi$
$174$	12822.9	+	12822.9i	0.423533	+	0.423533i
$175$	−13453.8	+	50210.2i	−0.439307	+	1.63952i
$176$	−10574.5	−	2833.43i	−0.341377	−	0.0914718i
$177$	−3011.70	+	3011.70i	−0.0961315	+	0.0961315i
$178$	−41347.3	−	71615.6i	−1.30499	−	2.26031i
$179$	−30219.6	−	17447.3i	−0.943153	−	0.544530i	−0.0522058	−	0.998636i	$-0.516625\pi$
$179$	−30219.6	−	17447.3i	−0.943153	−	0.544530i	−0.890947	+	0.454107i	$0.849959\pi$
$180$	−1366.03	−	5098.10i	−0.0421614	−	0.157349i
$181$			38784.9i			1.18387i	0.805984	+	0.591937i	$0.201637\pi$
$181$			38784.9i			1.18387i	−0.805984	+	0.591937i	$0.798363\pi$
$182$	27688.9	−	36404.1i	0.835918	−	1.09902i
$183$	2126.95			0.0635118
$184$	−866.029	+	232.052i	−0.0255798	+	0.00685408i
$185$	15840.7	−	27436.9i	0.462840	−	0.801662i
$186$	−37433.5	+	21612.2i	−1.08202	+	0.624703i
$187$	−7433.54	−	7433.54i	−0.212575	−	0.212575i
$188$	3689.75	−	13770.3i	0.104395	−	0.389608i
$189$	−34808.2	−	9326.83i	−0.974447	−	0.261102i
$190$	−82533.1	+	82533.1i	−2.28624	+	2.28624i
$191$	23632.1	+	40931.9i	0.647791	+	1.12201i	0.983649	+	0.180094i	$0.0576403\pi$
$191$	23632.1	+	40931.9i	0.647791	+	1.12201i	−0.335858	+	0.941912i	$0.609026\pi$
$192$	−32337.5	−	18670.1i	−0.877210	−	0.506458i
$193$	−5754.26	−	21475.2i	−0.154481	−	0.576530i	−0.999149	−	0.0412404i	$-0.986869\pi$
$193$	−5754.26	−	21475.2i	−0.154481	−	0.576530i	0.844668	−	0.535290i	$-0.179798\pi$
$194$			42254.3i			1.12271i
$195$	22731.0	−	55543.6i	0.597791	−	1.46071i
$196$	−2466.06			−0.0641935
$197$	4551.21	−	1219.49i	0.117272	−	0.0314230i	−0.199706	−	0.979856i	$-0.563999\pi$
$197$	4551.21	−	1219.49i	0.117272	−	0.0314230i	0.316978	+	0.948433i	$0.397332\pi$
$198$	−971.976	+	1683.51i	−0.0247928	+	0.0429424i
$199$	58431.5	−	33735.4i	1.47550	−	0.851883i	0.475886	−	0.879507i	$-0.342127\pi$
$199$	58431.5	−	33735.4i	1.47550	−	0.851883i	0.999618	+	0.0276241i	$0.00879414\pi$
$200$	2329.17	+	2329.17i	0.0582293	+	0.0582293i
$201$	−4136.31	+	15436.9i	−0.102381	+	0.382092i
$202$	1358.76	+	364.078i	0.0332996	+	0.00892260i
$203$	12461.5	−	12461.5i	0.302399	−	0.302399i
$204$	−16800.4	−	29099.1i	−0.403700	−	0.699228i
$205$	24964.8	+	14413.5i	0.594048	+	0.342974i
$206$	10251.1	+	38257.5i	0.241565	+	0.901534i
$207$		−	2295.63i		−	0.0535748i
$208$	16156.7	+	38541.9i	0.373445	+	0.890854i
$209$	21843.3			0.500063
$210$	92833.3	−	24874.6i	2.10506	−	0.564050i
$211$	−17393.5	+	30126.5i	−0.390681	+	0.676680i	−0.992540	−	0.121923i	$-0.961094\pi$
$211$	−17393.5	+	30126.5i	−0.390681	+	0.676680i	0.601858	+	0.798603i	$0.294427\pi$
$212$	12851.0	−	7419.53i	0.285934	−	0.165084i
$213$	18165.5	+	18165.5i	0.400395	+	0.400395i
$214$	2198.06	−	8203.26i	0.0479967	−	0.179126i
$215$	−45123.1	−	12090.7i	−0.976162	−	0.261562i
$216$	−1614.70	+	1614.70i	−0.0346086	+	0.0346086i
$217$	21003.2	+	36378.6i	0.446032	+	0.772550i
$218$	−84262.0	−	48648.7i	−1.77304	−	1.02367i
$219$	−21367.2	−	79743.5i	−0.445512	−	1.66267i
$220$		−	30348.4i		−	0.627032i
$221$	−5069.10	+	39809.6i	−0.103788	+	0.815086i
$222$	−37296.1			−0.756759
$223$	30988.2	−	8303.26i	0.623142	−	0.166970i	0.0665860	−	0.997781i	$-0.478789\pi$
$223$	30988.2	−	8303.26i	0.623142	−	0.166970i	0.556556	+	0.830810i	$0.312123\pi$
$224$	−34603.9	+	59935.8i	−0.689651	+	1.19451i
$225$	−7303.99	+	4216.96i	−0.144276	+	0.0832980i
$226$	−36606.2	−	36606.2i	−0.716701	−	0.716701i
$227$	16767.8	−	62578.1i	0.325404	−	1.21443i	−0.588501	−	0.808497i	$-0.700282\pi$
$227$	16767.8	−	62578.1i	0.325404	−	1.21443i	0.913905	−	0.405928i	$-0.133052\pi$
$228$	67437.2	+	18069.8i	1.29727	+	0.347602i
$229$	54161.9	−	54161.9i	1.03282	−	1.03282i	0.0333737	−	0.999443i	$-0.489375\pi$
$229$	54161.9	−	54161.9i	1.03282	−	1.03282i	0.999443	−	0.0333737i	$-0.0106252\pi$
$230$	35266.9	+	61084.1i	0.666672	+	1.15471i
$231$	−15576.3	−	8993.00i	−0.291905	−	0.168531i
$232$	−289.036	−	1078.70i	−0.00537002	−	0.0200412i
$233$			61901.5i			1.14022i	0.821568	+	0.570111i	$0.193100\pi$
$233$			61901.5i			1.14022i	−0.821568	+	0.570111i	$0.806900\pi$
$234$	7353.22	−	999.864i	0.134291	−	0.0182604i
$235$	−35778.2			−0.647862
$236$	7941.76	−	2127.99i	0.142591	−	0.0382072i
$237$	−10718.7	+	18565.4i	−0.190830	+	0.330528i
$238$	−55656.0	+	32133.0i	−0.982558	+	0.567280i
$239$	34967.7	+	34967.7i	0.612169	+	0.612169i	0.943511	−	0.331342i	$-0.107501\pi$
$239$	34967.7	+	34967.7i	0.612169	+	0.612169i	−0.331342	+	0.943511i	$0.607501\pi$
$240$	−22728.4	+	84823.5i	−0.394590	+	1.47263i
$241$	−1631.90	−	437.266i	−0.0280970	−	0.00752856i	0.244743	−	0.969588i	$-0.421296\pi$
$241$	−1631.90	−	437.266i	−0.0280970	−	0.00752856i	−0.272840	+	0.962059i	$0.587963\pi$
$242$	51140.6	−	51140.6i	0.873243	−	0.873243i
$243$	−5593.06	−	9687.47i	−0.0947190	−	0.164058i
$244$	−3555.76	−	2052.92i	−0.0597246	−	0.0344820i
$245$	1601.83	+	5978.13i	0.0266861	+	0.0995940i
$246$		−	33935.8i		−	0.560774i
$247$	−51042.1	−	65937.6i	−0.836633	−	1.08078i
$248$	2661.85			0.0432794
$249$	−93232.1	+	24981.5i	−1.50372	+	0.402920i
$250$	55642.4	−	96375.4i	0.890278	−	1.54201i
$251$	39494.7	−	22802.3i	0.626890	−	0.361935i	−0.152657	−	0.988279i	$-0.548783\pi$
$251$	39494.7	−	22802.3i	0.626890	−	0.361935i	0.779546	+	0.626344i	$0.215450\pi$
$252$	4269.67	+	4269.67i	0.0672347	+	0.0672347i
$253$	3416.40	−	12750.2i	0.0533737	−	0.199193i
$254$	−1422.68	−	381.207i	−0.0220516	−	0.00590872i
$255$	−59628.2	+	59628.2i	−0.917004	+	0.917004i
$256$	−30502.9	−	52832.6i	−0.465437	−	0.806161i
$257$	11270.0	+	6506.71i	0.170630	+	0.0985134i	0.582883	−	0.812556i	$-0.301925\pi$
$257$	11270.0	+	6506.71i	0.170630	+	0.0985134i	−0.412253	+	0.911070i	$0.635258\pi$
$258$	14233.5	+	53120.1i	0.213831	+	0.798030i
$259$			36245.1i			0.540319i
$260$	−91611.5	+	70916.3i	−1.35520	+	1.04906i
$261$	2859.36			0.0419747
$262$	−104846.	+	28093.3i	−1.52738	+	0.409260i
$263$	9694.16	−	16790.8i	0.140152	−	0.242750i	−0.787402	−	0.616440i	$-0.788574\pi$
$263$	9694.16	−	16790.8i	0.140152	−	0.242750i	0.927554	+	0.373690i	$0.121908\pi$
$264$	−987.038	+	569.867i	−0.0141621	+	0.00817646i
$265$	−26333.6	−	26333.6i	−0.374988	−	0.374988i
$266$	34560.9	−	128983.i	0.488452	−	1.82293i
$267$	119909.	+	32129.5i	1.68201	+	0.450694i
$268$	21814.6	−	21814.6i	0.303723	−	0.303723i
$269$	−10955.6	−	18975.6i	−0.151402	−	0.262236i	0.780341	−	0.625354i	$-0.215045\pi$
$269$	−10955.6	−	18975.6i	−0.151402	−	0.262236i	−0.931743	+	0.363118i	$0.881712\pi$
$270$	155577.	+	89822.7i	2.13412	+	1.23214i
$271$	11073.9	+	41328.3i	0.150786	+	0.562742i	0.999429	+	0.0337763i	$0.0107534\pi$
$271$	11073.9	+	41328.3i	0.150786	+	0.562742i	−0.848643	+	0.528966i	$0.822580\pi$
$272$		−	58721.0i		−	0.793699i
$273$	9251.03	+	68034.1i	0.124127	+	0.912854i
$274$	186834.			2.48860
$275$	−46843.0	+	12551.5i	−0.619411	+	0.165971i
$276$	21095.0	−	36537.7i	0.276925	−	0.479648i
$277$	−83627.0	+	48282.1i	−1.08990	+	0.629255i	−0.933550	−	0.358447i	$-0.883306\pi$
$277$	−83627.0	+	48282.1i	−1.08990	+	0.629255i	−0.156351	+	0.987702i	$0.549973\pi$
$278$	−73420.8	−	73420.8i	−0.950013	−	0.950013i
$279$	−1763.98	+	6583.26i	−0.0226613	+	0.0845731i
$280$	−5716.87	−	1531.83i	−0.0729193	−	0.0195387i
$281$	50030.4	−	50030.4i	0.633609	−	0.633609i	−0.315362	−	0.948971i	$-0.602126\pi$
$281$	50030.4	−	50030.4i	0.633609	−	0.633609i	0.948971	+	0.315362i	$0.102126\pi$
$282$	21059.5	+	36476.1i	0.264819	+	0.458681i
$283$	127894.	+	73839.8i	1.59690	+	0.921972i	0.992079	+	0.125613i	$0.0400897\pi$
$283$	127894.	+	73839.8i	1.59690	+	0.921972i	0.604824	+	0.796359i	$0.293244\pi$
$284$	−12835.3	−	47901.9i	−0.159136	−	0.593904i
$285$		−	175216.i		−	2.15717i
$286$	42328.6	+	5389.85i	0.517490	+	0.0658938i
$287$	−32979.5			−0.400387
$288$	−10846.3	+	2906.25i	−0.130766	+	0.0350387i
$289$	−13566.4	+	23497.7i	−0.162431	+	0.281339i
$290$	−76084.4	+	43927.4i	−0.904690	+	0.522323i
$291$	−44852.5	−	44852.5i	−0.529664	−	0.529664i
$292$	−41247.2	+	153936.i	−0.483758	+	1.80541i
$293$	−9633.69	−	2581.34i	−0.112217	−	0.0300684i	0.202274	−	0.979329i	$-0.435167\pi$
$293$	−9633.69	−	2581.34i	−0.112217	−	0.0300684i	−0.314490	+	0.949261i	$0.601834\pi$
$294$	5151.88	−	5151.88i	0.0596034	−	0.0596034i
$295$	−10317.2	−	17869.9i	−0.118554	−	0.205342i
$296$	1989.07	+	1148.39i	0.0227021	+	0.0131070i
$297$	−8701.35	−	32473.9i	−0.0986447	−	0.368147i
$298$			60886.4i			0.685627i
$299$	−46471.8	+	19480.9i	−0.519813	+	0.217905i
$300$	−155003.			−1.72225
$301$	51623.1	−	13832.4i	0.569785	−	0.152674i
$302$	26204.2	−	45386.9i	0.287314	−	0.497642i
$303$	−1828.77	+	1055.84i	−0.0199193	+	0.0115004i
$304$	86275.2	+	86275.2i	0.933553	+	0.933553i
$305$	−2666.96	+	9953.23i	−0.0286693	+	0.106995i
$306$	−10071.8	−	2698.73i	−0.107563	−	0.0288215i
$307$	−58686.7	+	58686.7i	−0.622677	+	0.622677i	−0.946215	−	0.323538i	$-0.895128\pi$
$307$	−58686.7	+	58686.7i	−0.622677	+	0.622677i	0.323538	+	0.946215i	$0.395128\pi$
$308$	17360.0	+	30068.5i	0.182999	+	0.316964i
$309$	−51491.3	−	29728.5i	−0.539283	−	0.311355i
$310$	−54198.8	−	202273.i	−0.563983	−	2.10481i
$311$		−	38813.8i		−	0.401296i	−0.979663	−	0.200648i	$-0.935695\pi$
$311$		−	38813.8i		−	0.401296i	0.979663	−	0.200648i	$-0.0643048\pi$
$312$	4026.69	+	1647.91i	0.0413656	+	0.0169287i
$313$	−98727.3			−1.00774			−0.503870	−	0.863779i	$-0.668091\pi$
$313$	−98727.3			−1.00774			−0.503870	+	0.863779i	$0.668091\pi$
$314$	−226824.	+	60777.3i	−2.30054	+	0.616428i
$315$	7577.01	−	13123.8i	0.0763619	−	0.132263i
$316$	35838.5	−	20691.4i	0.358902	−	0.207212i
$317$	49531.4	+	49531.4i	0.492904	+	0.492904i	0.909220	−	0.416316i	$-0.136679\pi$
$317$	49531.4	+	49531.4i	0.492904	+	0.492904i	−0.416316	+	0.909220i	$0.636679\pi$
$318$	−11347.0	+	42347.5i	−0.112209	+	0.418768i
$319$	15881.2	+	4255.35i	0.156064	+	0.0418171i
$320$	127916.	−	127916.i	1.24918	−	1.24918i
$321$	6374.46	+	11040.9i	0.0618633	+	0.107150i
$322$	−69883.4	−	40347.2i	−0.674003	−	0.389136i
$323$	30324.4	+	113172.i	0.290661	+	1.08476i
$324$		−	97148.6i		−	0.925436i
$325$	147349.	+	112074.i	1.39502	+	1.06105i
$326$	1484.65			0.0139698
$327$	141083.	−	37803.2i	1.31941	−	0.353535i
$328$	−1044.92	+	1809.85i	−0.00971259	+	0.0168227i
$329$	35448.2	−	20466.0i	0.327493	−	0.189078i
$330$	63401.2	+	63401.2i	0.582197	+	0.582197i
$331$	17404.7	−	64955.1i	0.158858	−	0.592867i	−0.839886	−	0.542763i	$-0.817378\pi$
$331$	17404.7	−	64955.1i	0.158858	−	0.592867i	0.998744	−	0.0501038i	$-0.0159552\pi$
$332$	179975.	+	48224.1i	1.63281	+	0.437510i
$333$	−4158.30	+	4158.30i	−0.0374997	+	0.0374997i
$334$	124138.	+	215014.i	1.11279	+	1.92741i
$335$	−67051.9	−	38712.4i	−0.597477	−	0.344954i
$336$	−26002.4	−	97042.4i	−0.230322	−	0.859574i
$337$			104833.i			0.923075i	0.887121	+	0.461538i	$0.152702\pi$
$337$			104833.i			0.923075i	−0.887121	+	0.461538i	$0.847298\pi$
$338$	−82641.0	−	140371.i	−0.723373	−	1.22869i
$339$	77714.3			0.676241
$340$	157238.	−	42131.7i	1.36019	−	0.364461i
$341$	−19594.7	+	33939.0i	−0.168511	+	0.291870i
$342$	18762.9	−	10832.8i	0.160416	−	0.0926165i
$343$	−85570.7	−	85570.7i	−0.727339	−	0.727339i
$344$	876.528	−	3271.25i	0.00740711	−	0.0276437i
$345$	−102276.	−	27404.7i	−0.859279	−	0.230243i
$346$	−104912.	+	104912.i	−0.876338	+	0.876338i
$347$	−76200.4	−	131983.i	−0.632846	−	1.09612i	−0.986967	−	0.160922i	$-0.948553\pi$
$347$	−76200.4	−	131983.i	−0.632846	−	1.09612i	0.354121	−	0.935200i	$-0.384780\pi$
$348$	45510.2	+	26275.3i	0.375794	+	0.216965i
$349$	−55177.5	−	205925.i	−0.453014	−	1.69067i	−0.693863	−	0.720107i	$-0.744093\pi$
$349$	−55177.5	−	205925.i	−0.453014	−	1.69067i	0.240849	−	0.970562i	$-0.422574\pi$
$350$			296464.i			2.42011i
$351$	−77695.0	+	102150.i	−0.630636	+	0.829130i
$352$	−64566.6			−0.521102
$353$	199880.	−	53557.7i	1.60406	−	0.429806i	0.657793	−	0.753199i	$-0.271490\pi$
$353$	199880.	−	53557.7i	1.60406	−	0.429806i	0.946265	+	0.323393i	$0.104824\pi$
$354$	−12145.6	+	21036.9i	−0.0969202	+	0.167871i
$355$	−107785.	+	62229.6i	−0.855265	+	0.493788i
$356$	−169449.	−	169449.i	−1.33702	−	1.33702i
$357$	24969.4	−	93187.1i	0.195917	−	0.731172i
$358$	−192232.	−	51508.3i	−1.49989	−	0.401894i
$359$	−100758.	+	100758.i	−0.781795	+	0.781795i	−0.980134	−	0.198339i	$-0.936445\pi$
$359$	−100758.	+	100758.i	−0.781795	+	0.781795i	0.198339	+	0.980134i	$0.436445\pi$
$360$	−480.138	−	831.624i	−0.00370477	−	0.00641685i
$361$	−97969.1	−	56562.5i	−0.751752	−	0.434024i
$362$	57250.9	+	213663.i	0.436883	+	1.63047i
$363$			108570.i			0.823945i
$364$	50200.7	−	122666.i	0.378885	−	0.925812i
$365$	399959.			3.00213
$366$	11717.2	−	3139.61i	0.0874705	−	0.0234376i
$367$	50429.7	−	87346.8i	0.374416	−	0.648507i	−0.615824	−	0.787884i	$-0.711177\pi$
$367$	50429.7	−	87346.8i	0.374416	−	0.648507i	0.990239	+	0.139377i	$0.0445099\pi$
$368$	63853.7	−	36866.0i	0.471510	−	0.272226i
$369$	−3783.65	−	3783.65i	−0.0277880	−	0.0277880i
$370$	46765.3	−	174531.i	0.341602	−	1.27488i
$371$	41154.2	+	11027.2i	0.298996	+	0.0801158i
$372$	−88571.0	+	88571.0i	−0.640038	+	0.640038i
$373$	−41170.6	−	71309.6i	−0.295917	−	0.512543i	0.679281	−	0.733878i	$-0.262292\pi$
$373$	−41170.6	−	71309.6i	−0.295917	−	0.512543i	−0.975198	+	0.221335i	$0.928958\pi$
$374$	−51923.6	−	29978.1i	−0.371212	−	0.214319i
$375$	43237.7	+	161365.i	0.307468	+	1.14749i
$376$		−	2593.78i		−	0.0183467i
$377$	−24264.8	−	57883.7i	−0.170724	−	0.407262i
$378$	−205523.			−1.43839
$379$	−35058.7	+	9393.95i	−0.244072	+	0.0653988i	−0.378781	−	0.925486i	$-0.623657\pi$
$379$	−35058.7	+	9393.95i	−0.244072	+	0.0653988i	0.134709	+	0.990885i	$0.456990\pi$
$380$	−169118.	+	292921.i	−1.17118	+	2.02854i
$381$	1914.81	−	1105.52i	0.0131909	−	0.00761579i
$382$	190608.	+	190608.i	1.30621	+	1.30621i
$383$	−39784.2	+	148477.i	−0.271215	+	1.01219i	0.687121	+	0.726543i	$0.258874\pi$
$383$	−39784.2	+	148477.i	−0.271215	+	1.01219i	−0.958336	+	0.285644i	$0.907793\pi$
$384$	−12725.2	−	3409.71i	−0.0862983	−	0.0231236i
$385$	61614.6	−	61614.6i	0.415683	−	0.415683i
$386$	−63399.6	−	109811.i	−0.425512	−	0.737009i
$387$	7509.53	+	4335.63i	0.0501408	+	0.0289488i
$388$	31691.6	+	118275.i	0.210514	+	0.785648i
$389$			15749.1i			0.104077i	0.998645	+	0.0520387i	$0.0165719\pi$
$389$			15749.1i			0.104077i	−0.998645	+	0.0520387i	$0.983428\pi$
$390$	43234.7	−	339540.i	0.284252	−	2.23234i
$391$	70802.7			0.463123
$392$	−433.391	+	116.127i	−0.00282038	+	0.000755718i
$393$	81471.7	−	141113.i	0.527499	−	0.913655i
$394$	23272.2	−	13436.2i	0.149915	−	0.0865535i
$395$	−73438.3	−	73438.3i	−0.470683	−	0.470683i
$396$	−1458.00	+	5441.34i	−0.00929754	+	0.0346989i
$397$	−197343.	−	52877.9i	−1.25211	−	0.335501i	−0.428956	−	0.903325i	$-0.641118\pi$
$397$	−197343.	−	52877.9i	−1.25211	−	0.335501i	−0.823149	+	0.567825i	$0.807785\pi$
$398$	272098.	−	272098.i	1.71774	−	1.71774i
$399$	100228.	+	173600.i	0.629569	+	1.09045i
$400$	−234593.	−	135442.i	−1.46620	−	0.846514i
$401$	30468.8	+	113711.i	0.189481	+	0.707153i	0.993627	+	0.112721i	$0.0359565\pi$
$401$	30468.8	+	113711.i	0.189481	+	0.707153i	−0.804146	+	0.594432i	$0.797377\pi$
$402$			91146.5i			0.564011i
$403$	148238.	−	20156.9i	0.912746	−	0.124112i
$404$	4076.38			0.0249754
$405$	−235504.	+	63103.1i	−1.43578	+	0.384716i
$406$	50255.1	−	87044.5i	0.304880	−	0.528067i
$407$	−29284.2	+	16907.2i	−0.176784	+	0.102067i
$408$	−4322.81	−	4322.81i	−0.0259684	−	0.0259684i
$409$	−15720.6	+	58670.2i	−0.0939774	+	0.350728i	−0.996862	−	0.0791538i	$-0.974778\pi$
$409$	−15720.6	+	58670.2i	−0.0939774	+	0.350728i	0.902885	+	0.429882i	$0.141445\pi$
$410$	158806.	+	42551.8i	0.944709	+	0.253134i
$411$	−198323.	+	198323.i	−1.17406	+	1.17406i
$412$	57387.8	+	99398.5i	0.338084	+	0.585579i
$413$	20444.1	+	11803.4i	0.119858	+	0.0692001i
$414$	−3388.61	−	12646.5i	−0.0197706	−	0.0737850i
$415$		−	467612.i		−	2.71512i
$416$	150876.	+	194905.i	0.871832	+	1.12625i
$417$	155871.			0.896382
$418$	120333.	−	32243.2i	0.688704	−	0.184538i
$419$	−162880.	+	282117.i	−0.927770	+	1.60695i	−0.140726	+	0.990049i	$0.544944\pi$
$419$	−162880.	+	282117.i	−0.927770	+	1.60695i	−0.787044	+	0.616897i	$0.788390\pi$
$420$	241195.	−	139254.i	1.36732	−	0.789420i
$421$	84760.5	+	84760.5i	0.478222	+	0.478222i	0.904563	−	0.426341i	$-0.140198\pi$
$421$	84760.5	+	84760.5i	0.478222	+	0.478222i	−0.426341	+	0.904563i	$0.640198\pi$
$422$	−51349.6	+	191639.i	−0.288345	+	1.07612i
$423$	6414.89	+	1718.86i	0.0358516	+	0.00960641i
$424$	1909.08	−	1909.08i	0.0106192	−	0.0106192i
$425$	−130061.	−	225273.i	−0.720063	−	1.24718i
$426$	126887.	+	73258.2i	0.699194	+	0.403680i
$427$	−3051.14	−	11387.0i	−0.0167343	−	0.0624531i
$428$		−	24610.4i		−	0.134348i
$429$	−50652.7	+	39210.1i	−0.275225	+	0.213051i
$430$	−266427.			−1.44093
$431$	300893.	−	80623.9i	1.61978	−	0.434020i	0.668846	−	0.743401i	$-0.266789\pi$
$431$	300893.	−	80623.9i	1.61978	−	0.434020i	0.950938	+	0.309382i	$0.100122\pi$
$432$	93895.3	−	162631.i	0.503126	−	0.871439i
$433$	57127.4	−	32982.5i	0.304697	−	0.175917i	−0.339854	−	0.940478i	$-0.610378\pi$
$433$	57127.4	−	32982.5i	0.304697	−	0.175917i	0.644551	+	0.764561i	$0.277044\pi$
$434$	169404.	+	169404.i	0.899383	+	0.899383i
$435$	34134.4	−	127391.i	0.180390	−	0.673226i
$436$	−272347.	−	72975.0i	−1.43268	−	0.383885i
$437$	−104026.	+	104026.i	−0.544727	+	0.544727i
$438$	−235421.	−	407761.i	−1.22715	−	2.12548i
$439$	138158.	+	79765.7i	0.716882	+	0.413892i	0.813604	−	0.581419i	$-0.197502\pi$
$439$	138158.	+	79765.7i	0.716882	+	0.413892i	−0.0967219	+	0.995311i	$0.530836\pi$
$440$	−1429.10	−	5333.49i	−0.00738173	−	0.0275490i
$441$		−	1148.81i		−	0.00590706i
$442$	30838.2	+	226791.i	0.157850	+	1.16086i
$443$	−372577.			−1.89849			−0.949246	−	0.314535i	$-0.898151\pi$
$443$	−372577.			−1.89849			−0.949246	+	0.314535i	$0.898151\pi$
$444$	−104396.	+	27972.8i	−0.529564	+	0.141896i
$445$	−300706.	+	520838.i	−1.51852	+	2.63016i
$446$	158455.	−	91484.2i	0.796594	−	0.459914i
$447$	−64630.3	−	64630.3i	−0.323460	−	0.323460i
$448$	−53565.0	+	199907.i	−0.266886	+	0.996031i
$449$	−70951.0	−	19011.3i	−0.351938	−	0.0943014i	0.0785191	−	0.996913i	$-0.474981\pi$
$449$	−70951.0	−	19011.3i	−0.351938	−	0.0943014i	−0.430457	+	0.902611i	$0.641648\pi$
$450$	−34012.5	+	34012.5i	−0.167963	+	0.167963i
$451$	−15383.9	−	26645.7i	−0.0756333	−	0.131001i
$452$	−129920.	−	75009.6i	−0.635917	−	0.367147i
$453$	20362.3	+	75993.2i	0.0992272	+	0.370321i
$454$		−	369490.i		−	1.79263i
$455$	−329971.	−	42016.4i	−1.59387	−	0.202953i
$456$	12702.5			0.0610884
$457$	−311394.	+	83437.8i	−1.49100	+	0.399512i	−0.910075	−	0.414444i	$-0.863976\pi$
$457$	−311394.	+	83437.8i	−1.49100	+	0.399512i	−0.580926	+	0.813957i	$0.697309\pi$
$458$	218425.	−	378324.i	1.04129	−	1.80357i
$459$	156170.	−	90165.0i	0.741265	−	0.427969i
$460$	144530.	+	144530.i	0.683036	+	0.683036i
$461$	44899.4	−	167567.i	0.211271	−	0.788473i	−0.776176	−	0.630517i	$-0.782843\pi$
$461$	44899.4	−	167567.i	0.211271	−	0.788473i	0.987446	−	0.157956i	$-0.0504903\pi$
$462$	−99083.6	−	26549.4i	−0.464214	−	0.124386i
$463$	88275.9	−	88275.9i	0.411794	−	0.411794i	−0.470569	−	0.882363i	$-0.655951\pi$
$463$	88275.9	−	88275.9i	0.411794	−	0.411794i	0.882363	+	0.470569i	$0.155951\pi$
$464$	45919.1	+	79534.1i	0.213283	+	0.369418i
$465$	272242.	+	157179.i	1.25907	+	0.726923i
$466$	91373.6	+	341011.i	0.420774	+	1.57035i
$467$			2610.83i			0.0119714i	0.999982	+	0.00598570i	$0.00190532\pi$
$467$			2610.83i			0.0119714i	−0.999982	+	0.00598570i	$0.998095\pi$
$468$	19832.6	−	8313.80i	0.0905498	−	0.0379584i
$469$	88578.0			0.402699
$470$	−197100.	+	52812.7i	−0.892257	+	0.239080i
$471$	176257.	−	305286.i	0.794519	−	1.37615i
$472$	1295.50	−	747.955i	0.00581503	−	0.00335731i
$473$	35256.4	+	35256.4i	0.157585	+	0.157585i
$474$	−31644.2	+	118098.i	−0.140844	+	0.525635i
$475$	522070.	+	139888.i	2.31389	+	0.620004i
$476$	−131687.	+	131687.i	−0.581205	+	0.581205i
$477$	3456.38	+	5986.63i	0.0151910	+	0.0263115i
$478$	244251.	+	141018.i	1.06901	+	0.617191i
$479$	−89374.4	−	333550.i	−0.389531	−	1.45375i	−0.830899	−	0.556424i	$-0.812173\pi$
$479$	−89374.4	−	333550.i	−0.389531	−	1.45375i	0.441367	−	0.897326i	$-0.354494\pi$
$480$			517922.i			2.24793i
$481$	119467.	+	48891.3i	0.516365	+	0.211320i
$482$	−9635.48			−0.0414743
$483$	117009.	−	31352.4i	0.501561	−	0.134393i
$484$	104792.	−	181505.i	0.447339	−	0.774814i
$485$	266131.	−	153651.i	1.13139	−	0.653209i
$486$	−45111.6	−	45111.6i	−0.190992	−	0.190992i
$487$	80455.8	−	300265.i	0.339234	−	1.26604i	−0.559971	−	0.828512i	$-0.689188\pi$
$487$	80455.8	−	300265.i	0.339234	−	1.26604i	0.899205	−	0.437527i	$-0.144145\pi$
$488$	−721.570	−	193.344i	−0.00302997	−	0.000811879i
$489$	−1575.94	+	1575.94i	−0.00659057	+	0.00659057i
$490$	17648.8	+	30568.6i	0.0735060	+	0.127316i
$491$	−14230.2	−	8215.83i	−0.0590268	−	0.0340791i	0.470196	−	0.882562i	$-0.344183\pi$
$491$	−14230.2	−	8215.83i	−0.0590268	−	0.0340791i	−0.529223	+	0.848483i	$0.677516\pi$
$492$	−25452.5	−	94990.1i	−0.105148	−	0.392417i
$493$			88189.5i			0.362847i
$494$	−378519.	−	287901.i	−1.55108	−	1.17975i
$495$	14137.7			0.0576992
$496$	−211444.	+	56656.2i	−0.859472	+	0.230295i
$497$	71193.8	−	123311.i	0.288224	−	0.499218i
$498$	−476734.	+	275242.i	−1.92228	+	1.10983i
$499$	165805.	+	165805.i	0.665883	+	0.665883i	0.956760	−	0.290877i	$-0.0939472\pi$
$499$	165805.	+	165805.i	0.665883	+	0.665883i	−0.290877	+	0.956760i	$0.593947\pi$
$500$	83465.8	−	311499.i	0.333863	−	1.24599i
$501$	−360006.	−	96463.4i	−1.43428	−	0.384315i
$502$	183915.	−	183915.i	0.729809	−	0.729809i
$503$	152830.	+	264710.i	0.604050	+	1.04625i	0.992201	+	0.124650i	$0.0397807\pi$
$503$	152830.	+	264710.i	0.604050	+	1.04625i	−0.388150	+	0.921596i	$0.626886\pi$
$504$	951.421	+	549.303i	0.00374551	+	0.00216247i
$505$	−2647.82	−	9881.81i	−0.0103826	−	0.0387484i
$506$		−	75282.8i		−	0.294032i
$507$	236725.	+	61279.5i	0.920932	+	0.238396i
$508$	−4268.16			−0.0165392
$509$	134054.	−	35919.6i	0.517421	−	0.138642i	0.00934737	−	0.999956i	$-0.497025\pi$
$509$	134054.	−	35919.6i	0.517421	−	0.138642i	0.508073	+	0.861314i	$0.330358\pi$
$510$	−240470.	+	416506.i	−0.924528	+	1.60133i
$511$	−396271.	+	228787.i	−1.51757	+	0.876172i
$512$	−263434.	−	263434.i	−1.00492	−	1.00492i
$513$	−96977.6	+	361925.i	−0.368499	+	1.37526i
$514$	71690.1	+	19209.3i	0.271352	+	0.0727085i
$515$	203682.	−	203682.i	0.767959	−	0.767959i
$516$	79682.2	+	138014.i	0.299269	+	0.518350i
$517$	33071.0	+	19093.5i	0.123727	+	0.0714340i
$518$	53501.9	+	199672.i	0.199393	+	0.744145i
$519$		−	222725.i		−	0.826865i
$520$	−12760.6	+	16777.0i	−0.0471914	+	0.0620450i
$521$	−82330.3			−0.303308			−0.151654	−	0.988434i	$-0.548460\pi$
$521$	−82330.3			−0.303308			−0.151654	+	0.988434i	$0.548460\pi$
$522$	15752.0	−	4220.74i	0.0578089	−	0.0154899i
$523$	−176253.	+	305279.i	−0.644367	+	1.11608i	0.340081	+	0.940396i	$0.389546\pi$
$523$	−176253.	+	305279.i	−0.644367	+	1.11608i	−0.984447	+	0.175680i	$0.943788\pi$
$524$	−272404.	+	157273.i	−0.992090	+	0.572783i
$525$	−314693.	−	314693.i	−1.14174	−	1.14174i
$526$	28619.4	−	106809.i	0.103440	−	0.386043i
$527$	−203044.	−	54405.4i	−0.731085	−	0.195894i
$528$	66275.9	−	66275.9i	0.237732	−	0.237732i
$529$	−95469.5	−	165358.i	−0.341156	−	0.590900i
$530$	−183941.	−	106198.i	−0.654828	−	0.378065i
$531$	991.321	+	3699.66i	0.00351581	+	0.0131212i
$532$		−	386959.i		−	1.36723i
$533$	−44486.2	+	108703.i	−0.156593	+	0.382637i
$534$	707997.			2.48284
$535$	−59659.7	+	15985.8i	−0.208436	+	0.0558504i
$536$	2806.50	−	4861.00i	0.00976866	−	0.0169198i
$537$	258728.	−	149376.i	0.897210	−	0.518004i
$538$	−88363.7	−	88363.7i	−0.305288	−	0.305288i
$539$	1709.68	−	6380.63i	0.00588489	−	0.0219627i
$540$	502848.	+	134738.i	1.72444	+	0.462063i
$541$	148284.	−	148284.i	0.506642	−	0.506642i	−0.406852	−	0.913494i	$-0.633374\pi$
$541$	148284.	−	148284.i	0.506642	−	0.506642i	0.913494	+	0.406852i	$0.133374\pi$
$542$	122011.	+	211329.i	0.415336	+	0.719383i
$543$	−287573.	−	166030.i	−0.975322	−	0.563102i
$544$	−89635.9	−	334526.i	−0.302889	−	1.13040i
$545$			707613.i			2.38234i
$546$	151389.	+	361140.i	0.507820	+	1.21141i
$547$	−103249.			−0.345075			−0.172537	−	0.985003i	$-0.555197\pi$
$547$	−103249.			−0.345075			−0.172537	+	0.985003i	$0.555197\pi$
$548$	522970.	−	140129.i	1.74147	−	0.466625i
$549$	956.351	−	1656.45i	0.00317302	−	0.00549583i
$550$	−239527.	+	138291.i	−0.791825	+	0.457161i
$551$	−129571.	−	129571.i	−0.426782	−	0.426782i
$552$	1986.73	−	7414.58i	0.00652020	−	0.0243337i
$553$	114770.	+	30752.4i	0.375298	+	0.100561i
$554$	−389426.	+	389426.i	−1.26883	+	1.26883i
$555$	135621.	+	234903.i	0.440294	+	0.762611i
$556$	−260580.	−	150446.i	−0.842931	−	0.486667i
$557$	−39436.9	−	147180.i	−0.127114	−	0.474395i	0.872793	−	0.488091i	$-0.162307\pi$
$557$	−39436.9	−	147180.i	−0.127114	−	0.474395i	−0.999906	+	0.0136967i	$0.995640\pi$
$558$			38870.6i			0.124840i
$559$	24042.2	−	188813.i	0.0769396	−	0.604237i
$560$	486723.			1.55205
$561$	86937.8	−	23294.9i	0.276238	−	0.0740176i
$562$	201764.	−	349465.i	0.638808	−	1.10645i
$563$	−452857.	+	261457.i	−1.42871	+	0.824866i	−0.997019	−	0.0771554i	$-0.975416\pi$
$563$	−452857.	+	261457.i	−1.42871	+	0.824866i	−0.431691	+	0.902022i	$0.642083\pi$
$564$	86305.7	+	86305.7i	0.271320	+	0.271320i
$565$	−97445.3	+	363671.i	−0.305256	+	1.13923i
$566$	813557.	+	217992.i	2.53954	+	0.680468i
$567$	197235.	−	197235.i	0.613506	−	0.613506i
$568$	−4511.40	−	7813.97i	−0.0139835	−	0.0242201i
$569$	−273094.	−	157671.i	−0.843504	−	0.486997i	0.0149499	−	0.999888i	$-0.495241\pi$
$569$	−273094.	−	157671.i	−0.843504	−	0.486997i	−0.858454	+	0.512891i	$0.828574\pi$
$570$	−258639.	−	965253.i	−0.796057	−	2.97092i
$571$			6380.52i			0.0195697i	0.999952	+	0.00978484i	$0.00311466\pi$
$571$			6380.52i			0.0195697i	−0.999952	+	0.00978484i	$0.996885\pi$
$572$	122525.	−	16660.5i	0.374484	−	0.0509210i
$573$	−404656.			−1.23247
$574$	−181682.	+	48681.5i	−0.551426	+	0.147754i
$575$	163309.	−	282859.i	0.493940	−	0.855529i
$576$	−29080.2	+	16789.5i	−0.0876501	+	0.0506048i
$577$	−78575.8	−	78575.8i	−0.236014	−	0.236014i	0.579184	−	0.815197i	$-0.303371\pi$
$577$	−78575.8	−	78575.8i	−0.236014	−	0.236014i	−0.815197	+	0.579184i	$0.803371\pi$
$578$	−40051.1	+	149473.i	−0.119883	+	0.447411i
$579$	183862.	+	49265.6i	0.548446	+	0.146956i
$580$	−180022.	+	180022.i	−0.535144	+	0.535144i
$581$	267486.	+	463300.i	0.792408	+	1.37249i
$582$	−313297.	−	180882.i	−0.924932	−	0.534010i
$583$	10287.7	+	38394.3i	0.0302679	+	0.112961i
$584$			28995.5i			0.0850167i
$585$	−33036.3	−	42677.1i	−0.0965338	−	0.124705i
$586$	−56881.7			−0.165645
$587$	−115671.	+	30993.9i	−0.335698	+	0.0899499i	−0.422730	−	0.906256i	$-0.638928\pi$
$587$	−115671.	+	30993.9i	−0.335698	+	0.0899499i	0.0870327	+	0.996205i	$0.472262\pi$
$588$	10556.7	−	18284.7i	0.0305333	−	0.0528851i
$589$	378254.	−	218385.i	1.09032	−	0.629495i
$590$	−83214.6	−	83214.6i	−0.239054	−	0.239054i
$591$	−10440.8	+	38965.6i	−0.0298923	+	0.111560i
$592$	−182444.	−	48885.7i	−0.520578	−	0.139488i
$593$	86441.2	−	86441.2i	0.245817	−	0.245817i	−0.573435	−	0.819251i	$-0.694389\pi$
$593$	86441.2	−	86441.2i	0.245817	−	0.245817i	0.819251	+	0.573435i	$0.194389\pi$
$594$	−95870.3	−	166052.i	−0.271713	−	0.470622i
$595$	404769.	+	233693.i	1.14333	+	0.660104i
$596$	45666.0	+	170428.i	0.128559	+	0.479787i
$597$			577657.i			1.62077i
$598$	−227254.	+	175917.i	−0.635490	+	0.491931i
$599$	−256983.			−0.716228			−0.358114	−	0.933678i	$-0.616580\pi$
$599$	−256983.			−0.716228			−0.358114	+	0.933678i	$0.616580\pi$
$600$	−27240.5	+	7299.07i	−0.0756680	+	0.0202752i
$601$	172073.	−	298039.i	0.476391	−	0.825133i	−0.523243	−	0.852183i	$-0.675278\pi$
$601$	172073.	−	298039.i	0.476391	−	0.825133i	0.999634	+	0.0270505i	$0.00861150\pi$
$602$	263970.	−	152403.i	0.728386	−	0.420534i
$603$	10162.3	+	10162.3i	0.0279485	+	0.0279485i
$604$	39307.3	−	146697.i	0.107746	−	0.402112i
$605$	−508065.	−	136136.i	−1.38806	−	0.371930i
$606$	−8516.03	+	8516.03i	−0.0231895	+	0.0231895i
$607$	79343.2	+	137426.i	0.215344	+	0.372986i	0.953379	−	0.301776i	$-0.0975795\pi$
$607$	79343.2	+	137426.i	0.215344	+	0.372986i	−0.738035	+	0.674762i	$0.764246\pi$
$608$	623195.	+	359802.i	1.68584	+	0.973321i
$609$	39051.5	+	145742.i	0.105294	+	0.392962i
$610$			58768.4i			0.157937i
$611$	−19641.4	−	144447.i	−0.0526126	−	0.386924i
$612$	−30216.2			−0.0806746
$613$	635084.	−	170170.i	1.69009	−	0.452859i	0.719678	−	0.694308i	$-0.244290\pi$
$613$	635084.	−	170170.i	1.69009	−	0.452859i	0.970413	+	0.241450i	$0.0776229\pi$
$614$	−236673.	+	409929.i	−0.627786	+	1.08736i
$615$	−213739.	+	123402.i	−0.565110	+	0.326266i
$616$	4466.81	+	4466.81i	0.0117716	+	0.0117716i
$617$	30045.8	−	112133.i	0.0789248	−	0.294552i	−0.915170	−	0.403069i	$-0.867944\pi$
$617$	30045.8	−	112133.i	0.0789248	−	0.294552i	0.994095	+	0.108517i	$0.0346102\pi$
$618$	−327545.	−	87765.4i	−0.857618	−	0.229798i
$619$	−349306.	+	349306.i	−0.911644	+	0.911644i	−0.996402	−	0.0847577i	$-0.972988\pi$
$619$	−349306.	+	349306.i	−0.911644	+	0.911644i	0.0847577	+	0.996402i	$0.472988\pi$
$620$	−303417.	−	525534.i	−0.789327	−	1.36715i
$621$	196092.	+	113214.i	0.508484	+	0.293573i
$622$	−57293.6	−	213823.i	−0.148090	−	0.552679i
$623$		−	688046.i		−	1.77272i
$624$	−354935.	−	45195.0i	−0.911547	−	0.116070i
$625$	−124696.			−0.319221
$626$	−543882.	+	145733.i	−1.38789	+	0.371885i
$627$	−93506.6	+	161958.i	−0.237852	+	0.411972i
$628$	−589322.	+	340245.i	−1.49428	+	0.862726i
$629$	−128252.	−	128252.i	−0.324163	−	0.324163i
$630$	22369.0	−	83482.4i	0.0563594	−	0.210336i
$631$	−40085.9	−	10741.0i	−0.100678	−	0.0269765i	0.208129	−	0.978101i	$-0.433263\pi$
$631$	−40085.9	−	10741.0i	−0.100678	−	0.0269765i	−0.308806	+	0.951125i	$0.599929\pi$
$632$	5323.99	−	5323.99i	0.0133292	−	0.0133292i
$633$	−148916.	−	257930.i	−0.371650	−	0.643717i
$634$	345979.	+	199751.i	0.860739	+	0.496948i
$635$	2772.40	+	10346.7i	0.00687556	+	0.0256599i
$636$			127046.i			0.314085i
$637$	−23256.1	+	9748.92i	−0.0573136	+	0.0240258i
$638$	93769.8			0.230368
$639$	22315.0	−	5979.30i	0.0546507	−	0.0146436i
$640$	31912.1	−	55273.3i	0.0779103	−	0.134945i
$641$	64704.3	−	37357.1i	0.157477	−	0.0909194i	−0.419191	−	0.907898i	$-0.637686\pi$
$641$	64704.3	−	37357.1i	0.157477	−	0.0909194i	0.576668	+	0.816979i	$0.304353\pi$
$642$	51414.1	+	51414.1i	0.124742	+	0.124742i
$643$	170013.	−	634497.i	0.411206	−	1.53464i	−0.381108	−	0.924530i	$-0.624457\pi$
$643$	170013.	−	634497.i	0.411206	−	1.53464i	0.792315	−	0.610113i	$-0.208876\pi$
$644$	−225873.	−	60522.4i	−0.544618	−	0.145930i
$645$	282810.	−	282810.i	0.679790	−	0.679790i
$646$	334110.	+	578695.i	0.800615	+	1.38671i
$647$	373958.	+	215905.i	0.893335	+	0.515767i	0.875032	−	0.484065i	$-0.160840\pi$
$647$	373958.	+	215905.i	0.893335	+	0.515767i	0.0183032	+	0.999832i	$0.494174\pi$
$648$	−4574.72	−	17073.1i	−0.0108947	−	0.0406595i
$649$			22023.6i			0.0522877i
$650$	977168.	+	399902.i	2.31282	+	0.946513i
$651$	−359641.			−0.848609
$652$	4155.71	−	1113.52i	0.00977575	−	0.00261940i
$653$	281002.	−	486709.i	0.658995	−	1.14141i	−0.321881	−	0.946780i	$-0.604315\pi$
$653$	281002.	−	486709.i	0.658995	−	1.14141i	0.980876	−	0.194633i	$-0.0623516\pi$
$654$	721417.	−	416510.i	1.68667	−	0.973801i
$655$	558195.	+	558195.i	1.30108	+	1.30108i
$656$	44481.2	−	166006.i	0.103364	−	0.385759i
$657$	−71711.2	−	19214.9i	−0.166133	−	0.0445152i
$658$	165072.	−	165072.i	0.381259	−	0.381259i
$659$	382964.	+	663314.i	0.881835	+	1.52738i	0.849298	+	0.527913i	$0.177025\pi$
$659$	382964.	+	663314.i	0.881835	+	1.52738i	0.0325370	+	0.999471i	$0.489641\pi$
$660$	225019.	+	129915.i	0.516574	+	0.298244i
$661$	58036.5	+	216595.i	0.132831	+	0.495731i	0.999997	−	0.00228712i	$-0.000728014\pi$
$661$	58036.5	+	216595.i	0.132831	+	0.495731i	−0.867167	+	0.498018i	$0.834061\pi$
$662$		−	383524.i		−	0.875139i
$663$	−273471.	−	208002.i	−0.622134	−	0.473195i
$664$	33900.0			0.0768889
$665$	−938053.	+	251350.i	−2.12121	+	0.568377i
$666$	−16769.7	+	29045.9i	−0.0378074	+	0.0654843i
$667$	−95898.0	+	55366.7i	−0.215555	+	0.124451i
$668$	508742.	+	508742.i	1.14010	+	1.14010i
$669$	−71089.1	+	265308.i	−0.158837	+	0.592787i
$670$	−426528.	−	114288.i	−0.950163	−	0.254595i
$671$	7776.84	−	7776.84i	0.0172726	−	0.0172726i
$672$	−296265.	−	513145.i	−0.656057	−	1.13632i
$673$	−460732.	−	266004.i	−1.01723	−	0.587297i	−0.103928	−	0.994585i	$-0.533141\pi$
$673$	−460732.	−	266004.i	−1.01723	−	0.587297i	−0.913300	+	0.407288i	$0.866475\pi$
$674$	154745.	+	577516.i	0.340641	+	1.27129i
$675$		−	831875.i		−	1.82579i
$676$	−336602.	−	330931.i	−0.736587	−	0.724176i
$677$	538896.			1.17578			0.587892	−	0.808940i	$-0.299958\pi$
$677$	538896.			1.17578			0.587892	+	0.808940i	$0.299958\pi$
$678$	428123.	−	114715.i	0.931341	−	0.249552i
$679$	−175785.	+	304468.i	−0.381278	+	0.660392i
$680$	25649.3	−	14808.6i	0.0554699	−	0.0320256i
$681$	392209.	+	392209.i	0.845715	+	0.845715i
$682$	−57847.9	+	215891.i	−0.124371	+	0.464159i
$683$	749210.	+	200750.i	1.60606	+	0.430343i	0.946866	−	0.321628i	$-0.104230\pi$
$683$	749210.	+	200750.i	1.60606	+	0.430343i	0.659196	+	0.751971i	$0.270897\pi$
$684$	44394.8	−	44394.8i	0.0948899	−	0.0948899i
$685$	−679393.	−	1.17674e6i	−1.44791	−	2.50785i
$686$	−597715.	−	345091.i	−1.27012	−	0.733306i
$687$	169730.	+	633443.i	0.359622	+	1.34213i
$688$			278507.i			0.588382i
$689$	91859.7	−	120773.i	0.193503	−	0.254408i
$690$	−603882.			−1.26839
$691$	−639643.	+	171392.i	−1.33962	+	0.358950i	−0.856293	−	0.516490i	$-0.827238\pi$
$691$	−639643.	+	171392.i	−1.33962	+	0.358950i	−0.483326	+	0.875440i	$0.660572\pi$
$692$	−214974.	+	372345.i	−0.448924	+	0.777560i
$693$	−14007.4	+	8087.15i	−0.0291669	+	0.0168395i
$694$	−614605.	−	614605.i	−1.27608	−	1.27608i
$695$	−195445.	+	729412.i	−0.404628	+	1.51009i
$696$	9235.36	+	2474.61i	0.0190649	+	0.00510843i
$697$	116697.	−	116697.i	0.240211	−	0.240211i
$698$	−607938.	−	1.05298e6i	−1.24781	−	2.16127i
$699$	−458972.	−	264987.i	−0.939359	−	0.542339i
$700$	222354.	+	829835.i	0.453783	+	1.69354i
$701$		−	263737.i		−	0.536705i	−0.963321	−	0.268352i	$-0.913521\pi$
$701$		−	263737.i		−	0.536705i	0.963321	−	0.268352i	$-0.0864791\pi$
$702$	−277232.	+	677422.i	−0.562560	+	1.37463i
$703$	376866.			0.762564
$704$	−186501.	+	49972.8i	−0.376302	+	0.100830i
$705$	153159.	−	265279.i	0.308152	−	0.533734i
$706$	1.02207e6	−	590091.i	2.05055	−	1.18389i
$707$	8276.05	+	8276.05i	0.0165571	+	0.0165571i
$708$	−18219.0	+	67994.1i	−0.0363460	+	0.135645i
$709$	467638.	+	125303.i	0.930287	+	0.249270i	0.691977	−	0.721919i	$-0.256740\pi$
$709$	467638.	+	125303.i	0.930287	+	0.249270i	0.238310	+	0.971189i	$0.423407\pi$
$710$	−501921.	+	501921.i	−0.995678	+	0.995678i
$711$	9639.07	+	16695.4i	0.0190676	+	0.0330260i
$712$	−37758.7	−	21800.0i	−0.0744829	−	0.0430027i
$713$	−68313.0	−	254948.i	−0.134377	−	0.501501i
$714$		−	550219.i		−	1.07929i
$715$	−119974.	−	286199.i	−0.234680	−	0.559830i
$716$	−576711.			−1.12495
$717$	−408959.	+	109580.i	−0.795503	+	0.213154i
$718$	−406341.	+	703803.i	−0.788209	+	1.36522i
$719$	413140.	−	238526.i	0.799170	−	0.461401i	−0.0440110	−	0.999031i	$-0.514014\pi$
$719$	413140.	−	238526.i	0.799170	−	0.461401i	0.843181	+	0.537630i	$0.180680\pi$
$720$	55840.4	+	55840.4i	0.107717	+	0.107717i
$721$	−85292.1	+	318315.i	−0.164074	+	0.612331i
$722$	−623198.	−	166985.i	−1.19551	−	0.320335i
$723$	10228.0	−	10228.0i	0.0195665	−	0.0195665i
$724$	320504.	+	555129.i	0.611443	+	1.05905i
$725$	352320.	+	203412.i	0.670289	+	0.386991i
$726$	160262.	+	598107.i	0.304059	+	1.13476i
$727$			1.00958e6i			1.91017i	0.296330	+	0.955086i	$0.404237\pi$
$727$			1.00958e6i			1.91017i	−0.296330	+	0.955086i	$0.595763\pi$
$728$	3046.02	−	23921.6i	0.00574738	−	0.0451365i
$729$	571896.			1.07612
$730$	2.20335e6	−	590385.i	4.13464	−	1.10787i
$731$	−133721.	+	231612.i	−0.250245	+	0.433438i
$732$	30443.0	−	17576.3i	0.0568153	−	0.0328023i
$733$	−438348.	−	438348.i	−0.815851	−	0.815851i	0.169653	−	0.985504i	$-0.445735\pi$
$733$	−438348.	−	438348.i	−0.815851	−	0.815851i	−0.985504	+	0.169653i	$0.945735\pi$
$734$	148880.	−	555628.i	0.276340	−	1.03132i
$735$	−51182.3	−	13714.2i	−0.0947425	−	0.0253862i
$736$	307491.	−	307491.i	0.567645	−	0.567645i
$737$	41318.9	+	71566.4i	0.0760700	+	0.131757i
$738$	−26428.9	−	15258.8i	−0.0485252	−	0.0280160i
$739$	−145021.	−	541227.i	−0.265548	−	0.991039i	−0.961914	−	0.273352i	$-0.911868\pi$
$739$	−145021.	−	541227.i	−0.265548	−	0.991039i	0.696366	−	0.717687i	$-0.254799\pi$
$740$		−	523606.i		−	0.956183i
$741$	707398.	−	96189.5i	1.28833	−	0.175183i
$742$	242993.			0.441353
$743$	442353.	−	118528.i	0.801293	−	0.214706i	0.165142	−	0.986270i	$-0.447192\pi$
$743$	442353.	−	118528.i	0.801293	−	0.214706i	0.636152	+	0.771564i	$0.280525\pi$
$744$	−11394.8	+	19736.5i	−0.0205856	+	0.0356552i
$745$	383483.	−	221404.i	0.690929	−	0.398908i
$746$	−332067.	−	332067.i	−0.596689	−	0.596689i
$747$	−22465.1	+	83841.1i	−0.0402595	+	0.150250i
$748$	−167824.	−	44968.4i	−0.299952	−	0.0803718i
$749$	49965.2	−	49965.2i	0.0890644	−	0.0890644i
$750$	476387.	+	825127.i	0.846910	+	1.46689i
$751$	−721955.	−	416821.i	−1.28006	−	0.739043i	−0.303201	−	0.952927i	$-0.598055\pi$
$751$	−721955.	−	416821.i	−1.28006	−	0.739043i	−0.976859	+	0.213884i	$0.931389\pi$
$752$	55207.2	+	206036.i	0.0976248	+	0.364341i
$753$			390447.i			0.688608i
$754$	−219116.	−	283060.i	−0.385418	−	0.497892i
$755$	−381149.			−0.668653
$756$	−575284.	+	154147.i	−1.00656	+	0.269706i
$757$	−149580.	+	259080.i	−0.261025	+	0.452108i	−0.966515	−	0.256612i	$-0.917394\pi$
$757$	−149580.	+	259080.i	−0.261025	+	0.452108i	0.705490	+	0.708720i	$0.250727\pi$
$758$	−179269.	+	103501.i	−0.312009	+	0.180139i
$759$	79911.9	+	79911.9i	0.138716	+	0.138716i
$760$	−15927.5	+	59442.4i	−0.0275754	+	0.102913i
$761$	−453793.	−	121593.i	−0.783589	−	0.209962i	−0.155223	−	0.987880i	$-0.549609\pi$
$761$	−453793.	−	121593.i	−0.783589	−	0.209962i	−0.628366	+	0.777918i	$0.716276\pi$
$762$	8916.69	−	8916.69i	0.0153566	−	0.0153566i
$763$	−404773.	−	701087.i	−0.695284	−	1.20427i
$764$	676492.	+	390573.i	1.15898	+	0.669137i
$765$	19627.0	+	73249.0i	0.0335375	+	0.125164i
$766$			876674.i			1.49410i
$767$	66482.0	−	51463.6i	0.113009	−	0.0874801i
$768$	522306.			0.885529
$769$	−684828.	+	183499.i	−1.15805	+	0.310300i	−0.786188	−	0.617987i	$-0.787948\pi$
$769$	−684828.	+	183499.i	−1.15805	+	0.310300i	−0.371866	+	0.928287i	$0.621282\pi$
$770$	248480.	−	430381.i	0.419093	−	0.725891i
$771$	−96488.7	+	55707.8i	−0.162318	+	0.0937146i
$772$	−259823.	−	259823.i	−0.435957	−	0.435957i
$773$	97632.6	−	364370.i	0.163394	−	0.609794i	−0.834846	−	0.550484i	$-0.814443\pi$
$773$	97632.6	−	364370.i	0.163394	−	0.609794i	0.998240	−	0.0593102i	$-0.0188901\pi$
$774$	47769.4	+	12799.8i	0.0797384	+	0.0213659i
$775$	−685679.	+	685679.i	−1.14161	+	1.14161i
$776$	11139.1	+	19293.5i	0.0184981	+	0.0320396i
$777$	−268741.	−	155158.i	−0.445136	−	0.256999i
$778$	23247.4	+	86760.6i	0.0384075	+	0.143339i
$779$			342911.i			0.565075i
$780$	−133643.	−	982837.i	−0.219662	−	1.61545i
$781$	132839.			0.217782
$782$	390047.	−	104513.i	0.637828	−	0.170906i
$783$	−141016.	+	244246.i	−0.230008	+	0.398386i
$784$	31954.6	−	18449.0i	0.0519878	−	0.0300152i
$785$	1.20761e6	+	1.20761e6i	1.95968	+	1.95968i
$786$	240523.	−	897644.i	0.389324	−	1.45298i
$787$	385944.	+	103413.i	0.623124	+	0.166966i	0.556548	−	0.830816i	$-0.312126\pi$
$787$	385944.	+	103413.i	0.623124	+	0.166966i	0.0665767	+	0.997781i	$0.478792\pi$
$788$	55064.1	−	55064.1i	0.0886781	−	0.0886781i
$789$	82997.4	+	143756.i	0.133325	+	0.230925i
$790$	−512970.	−	296163.i	−0.821936	−	0.474545i
$791$	−111482.	−	416058.i	−0.178178	−	0.664968i
$792$			1024.93i			0.00163397i
$793$	−41648.2	−	5303.21i	−0.0662292	−	0.00843320i
$794$	−1.16520e6			−1.84825
$795$	307980.	−	82523.0i	0.487291	−	0.130569i
$796$	557553.	−	965711.i	0.879955	−	1.52413i
$797$	−499761.	+	288537.i	−0.786766	+	0.454240i	−0.838823	−	0.544405i	$-0.816756\pi$
$797$	−499761.	+	288537.i	−0.786766	+	0.454240i	0.0520569	+	0.998644i	$0.483422\pi$
$798$	808403.	+	808403.i	1.26947	+	1.26947i
$799$	−53013.9	+	197851.i	−0.0830418	+	0.309916i
$800$	−1.54319e6	−	413497.i	−2.41124	−	0.646089i
$801$	78937.6	−	78937.6i	0.123032	−	0.123032i
$802$	335701.	+	581450.i	0.521919	+	0.903991i
$803$	−369696.	−	213444.i	−0.573341	−	0.331019i
$804$	68361.7	+	255129.i	0.105755	+	0.394683i
$805$			586865.i			0.905620i
$806$	786880.	−	329859.i	1.21126	−	0.507760i
$807$	187594.			0.288053
$808$	716.392	−	191.957i	0.00109731	−	0.000294022i
$809$	44219.0	−	76589.6i	0.0675635	−	0.117023i	−0.830265	−	0.557369i	$-0.811811\pi$
$809$	44219.0	−	76589.6i	0.0675635	−	0.117023i	0.897828	+	0.440346i	$0.145144\pi$
$810$	−1.20423e6	+	695261.i	−1.83543	+	1.05969i
$811$	−342385.	−	342385.i	−0.520562	−	0.520562i	0.397179	−	0.917741i	$-0.369989\pi$
$811$	−342385.	−	342385.i	−0.520562	−	0.520562i	−0.917741	+	0.397179i	$0.869989\pi$
$812$	75384.7	−	281340.i	0.114333	−	0.426696i
$813$	−353836.	−	94810.2i	−0.535330	−	0.143441i
$814$	−136367.	+	136367.i	−0.205808	+	0.205808i
$815$	−5398.70	−	9350.83i	−0.00812782	−	0.0140778i
$816$	435390.	+	251373.i	0.653881	+	0.377518i
$817$	−143825.	−	536762.i	−0.215472	−	0.804151i
$818$			346415.i			0.517715i
$819$	57144.0	+	23385.9i	0.0851928	+	0.0348648i
$820$	476430.			0.708551
$821$	534427.	−	143199.i	0.792870	−	0.212449i	0.160419	−	0.987049i	$-0.448716\pi$
$821$	534427.	−	143199.i	0.792870	−	0.212449i	0.632451	+	0.774600i	$0.282049\pi$
$822$	−799799.	+	1.38529e6i	−1.18369	+	2.05021i
$823$	−284246.	+	164110.i	−0.419658	+	0.242290i	−0.694931	−	0.719076i	$-0.744565\pi$
$823$	−284246.	+	164110.i	−0.419658	+	0.242290i	0.275273	+	0.961366i	$0.411232\pi$
$824$	14766.1	+	14766.1i	0.0217476	+	0.0217476i
$825$	107461.	−	401050.i	0.157886	−	0.589238i
$826$	130048.	+	34846.3i	0.190609	+	0.0510736i
$827$	−440313.	+	440313.i	−0.643800	+	0.643800i	−0.951487	−	0.307688i	$-0.900445\pi$
$827$	−440313.	+	440313.i	−0.643800	+	0.643800i	0.307688	+	0.951487i	$0.400445\pi$
$828$	−18970.2	−	32857.3i	−0.0276701	−	0.0479260i
$829$	−38845.9	−	22427.7i	−0.0565244	−	0.0326344i	0.471471	−	0.881881i	$-0.343723\pi$
$829$	−38845.9	−	22427.7i	−0.0565244	−	0.0326344i	−0.527996	+	0.849247i	$0.677056\pi$
$830$	−690249.	−	2.57604e6i	−1.00196	−	3.73936i
$831$		−	826743.i		−	1.19720i
$832$	586657.	+	446211.i	0.847495	+	0.644605i
$833$	35432.1			0.0510631
$834$	858682.	−	230083.i	1.23453	−	0.330790i
$835$	902818.	−	1.56373e6i	1.29487	−	2.24279i
$836$	312643.	−	180505.i	0.447338	−	0.258271i
$837$	−475347.	−	475347.i	−0.678515	−	0.678515i
$838$	−480860.	+	1.79459e6i	−0.684747	+	2.55551i
$839$	614324.	+	164608.i	0.872718	+	0.233844i	0.667263	−	0.744823i	$-0.267466\pi$
$839$	614324.	+	164608.i	0.872718	+	0.233844i	0.205455	+	0.978667i	$0.434133\pi$
$840$	35830.6	−	35830.6i	0.0507803	−	0.0507803i
$841$	284677.	+	493076.i	0.402496	+	0.697143i
$842$	592056.	+	341824.i	0.835100	+	0.482145i
$843$	156783.	+	585123.i	0.220620	+	0.823364i
$844$			574934.i			0.807110i
$845$	−583590.	+	1.03094e6i	−0.817324	+	1.44384i
$846$	37876.4			0.0529210
$847$	581252.	−	155746.i	0.810210	−	0.217095i
$848$	−111014.	+	192281.i	−0.154378	+	0.267390i
$849$	−1.09498e6	+	632186.i	−1.51911	+	0.877061i
$850$	−1.04903e6	−	1.04903e6i	−1.45194	−	1.45194i
$851$	58943.7	−	219981.i	0.0813914	−	0.303757i
$852$	410116.	+	109890.i	0.564973	+	0.151384i
$853$	−467145.	+	467145.i	−0.642027	+	0.642027i	−0.951053	−	0.309026i	$-0.899997\pi$
$853$	−467145.	+	467145.i	−0.642027	+	0.642027i	0.309026	+	0.951053i	$0.399997\pi$
$854$	−33617.0	−	58226.4i	−0.0460939	−	0.0798370i
$855$	−136457.	−	78783.5i	−0.186665	−	0.107771i
$856$	−1158.90	−	4325.09i	−0.00158161	−	0.00590266i
$857$		−	481160.i		−	0.655131i	−0.944829	−	0.327565i	$-0.893772\pi$
$857$		−	481160.i		−	0.655131i	0.944829	−	0.327565i	$-0.106228\pi$
$858$	−221163.	+	290775.i	−0.300427	+	0.394987i
$859$	480348.			0.650983			0.325491	−	0.945545i	$-0.394470\pi$
$859$	480348.			0.650983			0.325491	+	0.945545i	$0.394470\pi$
$860$	−745760.	+	199826.i	−1.00833	+	0.270181i
$861$	141178.	−	244528.i	0.190442	−	0.329855i
$862$	1.53859e6	−	888304.i	2.07065	−	1.19549i
$863$	415207.	+	415207.i	0.557497	+	0.557497i	0.928594	−	0.371097i	$-0.121018\pi$
$863$	415207.	+	415207.i	0.557497	+	0.557497i	−0.371097	+	0.928594i	$0.621018\pi$
$864$	286657.	−	1.06982e6i	0.384003	−	1.43312i
$865$	1.04226e6	+	279273.i	1.39298	+	0.373248i
$866$	266025.	−	266025.i	0.354721	−	0.354721i
$867$	−116150.	−	201178.i	−0.154519	−	0.267634i
$868$	601238.	+	347125.i	0.798007	+	0.460730i
$869$	28690.1	+	107073.i	0.0379920	+	0.141788i
$870$		−	752176.i		−	0.993759i
$871$	119483.	−	291960.i	0.157497	−	0.384846i
$872$	−51299.2			−0.0674648
$873$	−55098.1	+	14763.5i	−0.0722950	+	0.0193714i
$874$	−419518.	+	726627.i	−0.549197	+	0.951236i
$875$	801875.	−	462962.i	1.04735	−	0.604686i
$876$	−964800.	−	964800.i	−1.25727	−	1.25727i
$877$	14359.0	−	53588.5i	0.0186692	−	0.0696743i	−0.955963	−	0.293488i	$-0.905184\pi$
$877$	14359.0	−	53588.5i	0.0186692	−	0.0696743i	0.974632	+	0.223814i	$0.0718507\pi$
$878$	878848.	+	235487.i	1.14005	+	0.305476i
$879$	60379.3	−	60379.3i	0.0781467	−	0.0781467i
$880$	227041.	+	393247.i	0.293183	+	0.507808i
$881$	−403831.	−	233152.i	−0.520293	−	0.300391i	0.216761	−	0.976225i	$-0.430451\pi$
$881$	−403831.	−	233152.i	−0.520293	−	0.300391i	−0.737055	+	0.675833i	$0.763784\pi$
$882$	−1695.78	−	6328.72i	−0.00217987	−	0.00813540i
$883$		−	280955.i		−	0.360343i	−0.983635	−	0.180171i	$-0.942335\pi$
$883$		−	280955.i		−	0.360343i	0.983635	−	0.180171i	$-0.0576652\pi$
$884$	256418.	+	611685.i	0.328128	+	0.782750i
$885$	176663.			0.225558
$886$	−2.05250e6	+	549966.i	−2.61467	+	0.700597i
$887$	440784.	−	763461.i	0.560246	−	0.970375i	−0.437228	−	0.899350i	$-0.644040\pi$
$887$	440784.	−	763461.i	0.560246	−	0.970375i	0.997475	−	0.0710243i	$-0.0226268\pi$
$888$	−17029.6	+	9832.02i	−0.0215962	+	0.0124686i
$889$	−8665.42	−	8665.42i	−0.0109644	−	0.0109644i
$890$	−887752.	+	3.31313e6i	−1.12076	+	4.18272i
$891$	251360.	+	67351.7i	0.316622	+	0.0848386i
$892$	374919.	−	374919.i	0.471203	−	0.471203i
$893$	−212800.	−	368580.i	−0.266851	−	0.462199i
$894$	−451446.	−	260642.i	−0.564846	−	0.326114i
$895$	374604.	+	1.39804e6i	0.467656	+	1.74531i
$896$			73018.1i			0.0909525i
$897$	54493.8	−	427961.i	0.0677270	−	0.531887i
$898$	−418927.			−0.519500
$899$	317555.	−	85088.5i	0.392915	−	0.105281i
$900$	−69694.7	+	120715.i	−0.0860429	+	0.149031i
$901$	−184642.	+	106603.i	−0.227448	+	0.131317i
$902$	−124081.	−	124081.i	−0.152508	−	0.152508i
$903$	−118427.	+	441976.i	−0.145236	+	0.542030i
$904$	−26364.7	−	7064.40i	−0.0322616	−	0.00864447i
$905$	1.13754e6	−	1.13754e6i	1.38889	−	1.38889i
$906$	224349.	+	388584.i	0.273318	+	0.473401i
$907$	600124.	+	346482.i	0.729502	+	0.421178i	0.818240	−	0.574877i	$-0.194950\pi$
$907$	600124.	+	346482.i	0.729502	+	0.421178i	−0.0887382	+	0.996055i	$0.528283\pi$
$908$	−277125.	−	1.03424e6i	−0.336127	−	1.25444i
$909$			1898.98i			0.00229822i
$910$	−1.87981e6	+	255610.i	−2.27003	+	0.308670i
$911$	−1.13827e6			−1.37154			−0.685769	−	0.727819i	$-0.740534\pi$
$911$	−1.13827e6			−1.37154			−0.685769	+	0.727819i	$0.740534\pi$
$912$	−1.00902e6	+	270366.i	−1.21314	+	0.325059i
$913$	−249548.	+	432230.i	−0.299373	+	0.518529i
$914$	−1.59228e6	+	919306.i	−1.90602	+	1.10044i
$915$	−62382.1	−	62382.1i	−0.0745105	−	0.0745105i
$916$	327647.	−	1.22279e6i	0.390494	−	1.45735i
$917$	−872349.	−	233745.i	−1.03741	−	0.277974i
$918$	727238.	−	727238.i	0.862961	−	0.862961i
$919$	−629139.	−	1.08970e6i	−0.744930	−	1.29026i	−0.950228	−	0.311557i	$-0.899150\pi$
$919$	−629139.	−	1.08970e6i	−0.744930	−	1.29026i	0.205298	−	0.978700i	$-0.434184\pi$
$920$	32206.0	+	18594.2i	0.0380506	+	0.0219685i
$921$	−183910.	−	686361.i	−0.216813	−	0.809158i
$922$		−	989392.i		−	1.16388i
$923$	−310410.	−	400996.i	−0.364362	−	0.470692i
$924$	−297259.			−0.348170
$925$	−808190.	+	216554.i	−0.944561	+	0.253094i
$926$	356001.	−	616611.i	0.415173	−	0.719101i
$927$	−46304.7	+	26734.0i	−0.0538847	+	0.0311104i
$928$	383001.	+	383001.i	0.444738	+	0.444738i
$929$	−99542.9	+	371499.i	−0.115340	+	0.430454i	−0.999312	−	0.0370854i	$-0.988193\pi$
$929$	−99542.9	+	371499.i	−0.115340	+	0.430454i	0.883972	+	0.467539i	$0.154859\pi$
$930$	1.73178e6	+	464028.i	2.00228	+	0.536510i
$931$	−52058.2	+	52058.2i	−0.0600606	+	0.0600606i
$932$	511530.	+	885996.i	0.588897	+	1.02000i
$933$	287787.	+	166154.i	0.330604	+	0.190874i
$934$	3853.88	+	14382.9i	0.00441779	+	0.0164874i
$935$			436042.i			0.498776i
$936$	3093.92	−	2395.00i	0.00353149	−	0.00273372i
$937$	−310991.			−0.354216			−0.177108	−	0.984191i	$-0.556674\pi$
$937$	−310991.			−0.354216			−0.177108	+	0.984191i	$0.556674\pi$
$938$	487970.	−	130751.i	0.554610	−	0.148607i
$939$	422631.	−	732019.i	0.479326	−	0.830216i
$940$	−512093.	+	295657.i	−0.579553	+	0.334605i
$941$	685037.	+	685037.i	0.773633	+	0.773633i	0.978740	−	0.205107i	$-0.0657541\pi$
$941$	685037.	+	685037.i	0.773633	+	0.773633i	−0.205107	+	0.978740i	$0.565754\pi$
$942$	520350.	−	1.94197e6i	0.586400	−	2.18847i
$943$	200161.	+	53633.0i	0.225090	+	0.0603127i
$944$	−86987.6	+	86987.6i	−0.0976143	+	0.0976143i
$945$	747354.	+	1.29445e6i	0.836879	+	1.44952i
$946$	246268.	+	142183.i	0.275185	+	0.158878i
$947$	256413.	+	956945.i	0.285917	+	1.06706i	0.948167	+	0.317773i	$0.102935\pi$
$947$	256413.	+	956945.i	0.285917	+	1.06706i	−0.662250	+	0.749283i	$0.730398\pi$
$948$			354302.i			0.394237i
$949$	219568.	+	1.61475e6i	0.243802	+	1.79297i
$950$	3.08254e6			3.41556
$951$	−579287.	+	155220.i	−0.640520	+	0.171627i
$952$	−16941.8	+	29344.1i	−0.0186933	+	0.0323778i
$953$	−850383.	+	490969.i	−0.936330	+	0.540590i	−0.888808	−	0.458280i	$-0.848466\pi$
$953$	−850383.	+	490969.i	−0.936330	+	0.540590i	−0.0475219	+	0.998870i	$0.515132\pi$
$954$	27877.9	+	27877.9i	0.0306312	+	0.0306312i
$955$	507395.	−	1.89362e6i	0.556339	−	2.07628i
$956$	789452.	+	211533.i	0.863794	+	0.231453i
$957$	−99535.7	+	99535.7i	−0.108681	+	0.108681i
$958$	−984715.	−	1.70558e6i	−1.07295	−	1.85840i
$959$	1.34626e6	+	777261.i	1.46383	+	0.845142i
$960$	400858.	+	1.49602e6i	0.434958	+	1.62329i
$961$		−	139905.i		−	0.151491i
$962$	730304.	+	92992.1i	0.789139	+	0.100484i
$963$	11464.7			0.0123627
$964$	−26970.8	+	7226.81i	−0.0290228	+	0.00777665i
$965$	−461085.	+	798623.i	−0.495138	+	0.857605i
$966$	598313.	−	345436.i	0.641171	−	0.370180i
$967$	−751098.	−	751098.i	−0.803237	−	0.803237i	0.180363	−	0.983600i	$-0.442273\pi$
$967$	−751098.	−	751098.i	−0.803237	−	0.803237i	−0.983600	+	0.180363i	$0.942273\pi$
$968$	9869.29	−	36832.7i	0.0105326	−	0.0393082i
$969$	−968932.	−	259625.i	−1.03192	−	0.276502i
$970$	1.23929e6	−	1.23929e6i	1.31714	−	1.31714i
$971$	186818.	+	323579.i	0.198144	+	0.343196i	0.947927	−	0.318489i	$-0.103175\pi$
$971$	186818.	+	323579.i	0.198144	+	0.343196i	−0.749783	+	0.661684i	$0.769842\pi$
$972$	−160107.	−	92437.9i	−0.169464	−	0.0978402i
$973$	−223599.	−	834485.i	−0.236181	−	0.881440i
$974$		−	1.77290e6i		−	1.86882i
$975$	−1.46175e6	+	612762.i	−1.53767	+	0.644589i
$976$	61433.0			0.0644915
$977$	−31340.3	+	8397.61i	−0.0328333	+	0.00879764i	−0.275198	−	0.961387i	$-0.588744\pi$
$977$	−31340.3	+	8397.61i	−0.0328333	+	0.00879764i	0.242365	+	0.970185i	$0.422077\pi$
$978$	−6355.49	+	11008.0i	−0.00664464	+	0.0115089i
$979$	555905.	−	320952.i	0.580009	−	0.334869i
$980$	72328.0	+	72328.0i	0.0753103	+	0.0753103i
$981$	33995.3	−	126872.i	0.0353249	−	0.131834i
$982$	−90520.9	−	24255.0i	−0.0938698	−	0.0251523i
$983$	7991.46	−	7991.46i	0.00827026	−	0.00827026i	−0.702960	−	0.711230i	$-0.748139\pi$
$983$	7991.46	−	7991.46i	0.00827026	−	0.00827026i	0.711230	+	0.702960i	$0.248139\pi$
$984$	−8946.17	−	15495.2i	−0.00923946	−	0.0160032i
$985$	−169251.	−	97717.4i	−0.174446	−	0.100716i
$986$	130178.	+	485830.i	0.133901	+	0.499724i
$987$			350444.i			0.359736i
$988$	−1.27545e6	−	521972.i	−1.30662	−	0.534729i
$989$	−335809.			−0.343321
$990$	77883.9	−	20868.9i	0.0794653	−	0.0212927i
$991$	−654572.	+	1.13375e6i	−0.666515	+	1.15444i	0.312357	+	0.949965i	$0.398882\pi$
$991$	−654572.	+	1.13375e6i	−0.666515	+	1.15444i	−0.978872	+	0.204473i	$0.934452\pi$
$992$	−1.11808e6	+	645525.i	−1.13619	+	0.655979i
$993$	407107.	+	407107.i	0.412867	+	0.412867i
$994$	210180.	−	784404.i	0.212725	−	0.793902i
$995$	−2.70320e6	−	724320.i	−2.73044	−	0.731618i
$996$	−1.12799e6	+	1.12799e6i	−1.13707	+	1.13707i
$997$	312077.	+	540533.i	0.313958	+	0.543791i	0.979215	−	0.202823i	$-0.0650115\pi$
$997$	312077.	+	540533.i	0.313958	+	0.543791i	−0.665257	+	0.746614i	$0.731678\pi$
$998$	1.15816e6	+	668663.i	1.16281	+	0.671346i
$999$	−150126.	−	560278.i	−0.150427	−	0.561400i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	13.5.f.a.7.4	yes	16
3.2	odd	2		117.5.bd.c.46.1		16
13.2	odd	12	inner	13.5.f.a.2.4	✓	16
13.4	even	6		169.5.d.c.99.7		16
13.6	odd	12		169.5.d.d.70.2		16
13.7	odd	12		169.5.d.c.70.7		16
13.9	even	3		169.5.d.d.99.2		16
39.2	even	12		117.5.bd.c.28.1		16

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
13.5.f.a.2.4	✓	16	13.2	odd	12	inner
13.5.f.a.7.4	yes	16	1.1	even	1	trivial
117.5.bd.c.28.1		16	39.2	even	12
117.5.bd.c.46.1		16	3.2	odd	2
169.5.d.c.70.7		16	13.7	odd	12
169.5.d.c.99.7		16	13.4	even	6
169.5.d.d.70.2		16	13.6	odd	12
169.5.d.d.99.2		16	13.9	even	3

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:	\( N \)	\(=\)	\( 13 \)
Weight:	\( k \)	\(=\)	\( 5 \)
Character orbit:	\([\chi]\)	\(=\)	13.f (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(5.50893 - 1.47611i) q^{2} +(-4.28079 + 7.41455i) q^{3} +(14.3130 - 8.26362i) q^{4} +(-29.3294 - 29.3294i) q^{5} +(-12.6379 + 47.1652i) q^{6} +(45.8361 + 12.2817i) q^{7} +(2.12627 - 2.12627i) q^{8} +(3.84960 + 6.66770i) q^{9} +O(q^{10})\)	\(q+(5.50893 - 1.47611i) q^{2} +(-4.28079 + 7.41455i) q^{3} +(14.3130 - 8.26362i) q^{4} +(-29.3294 - 29.3294i) q^{5} +(-12.6379 + 47.1652i) q^{6} +(45.8361 + 12.2817i) q^{7} +(2.12627 - 2.12627i) q^{8} +(3.84960 + 6.66770i) q^{9} +(-204.867 - 118.280i) q^{10} +(11.4581 + 42.7622i) q^{11} +141.499i q^{12} +(102.310 - 134.513i) q^{13} +270.637 q^{14} +(343.018 - 91.9113i) q^{15} +(-123.643 + 214.156i) q^{16} +(-205.648 + 118.731i) q^{17} +(31.0495 + 31.0495i) q^{18} +(127.702 - 476.590i) q^{19} +(-662.159 - 177.425i) q^{20} +(-287.279 + 287.279i) q^{21} +(126.244 + 218.661i) q^{22} +(-258.218 - 149.082i) q^{23} +(6.66321 + 24.8674i) q^{24} +1095.43i q^{25} +(365.064 - 892.042i) q^{26} -759.406 q^{27} +(757.544 - 202.983i) q^{28} +(185.692 - 321.628i) q^{29} +(1753.99 - 1012.67i) q^{30} +(625.946 + 625.946i) q^{31} +(-377.475 + 1408.76i) q^{32} +(-366.113 - 98.0995i) q^{33} +(-957.641 + 957.641i) q^{34} +(-984.129 - 1704.56i) q^{35} +(110.199 + 63.6233i) q^{36} +(197.689 + 737.784i) q^{37} -2814.01i q^{38} +(559.381 + 1334.41i) q^{39} -124.724 q^{40} +(-671.311 + 179.877i) q^{41} +(-1158.54 + 2006.65i) q^{42} +(975.366 - 563.128i) q^{43} +(517.371 + 517.371i) q^{44} +(82.6533 - 308.466i) q^{45} +(-1642.57 - 440.125i) q^{46} +(609.937 - 609.937i) q^{47} +(-1058.58 - 1833.52i) q^{48} +(-129.221 - 74.6059i) q^{49} +(1616.98 + 6034.64i) q^{50} -2033.05i q^{51} +(352.807 - 2770.73i) q^{52} +897.855 q^{53} +(-4183.52 + 1120.97i) q^{54} +(918.131 - 1590.25i) q^{55} +(123.574 - 71.3455i) q^{56} +(2987.04 + 2987.04i) q^{57} +(548.205 - 2045.93i) q^{58} +(480.526 + 128.756i) q^{59} +(4150.10 - 4150.10i) q^{60} +(-124.214 - 215.146i) q^{61} +(4372.26 + 2524.32i) q^{62} +(94.5596 + 352.901i) q^{63} +4361.35i q^{64} +(-6945.87 + 944.475i) q^{65} -2161.69 q^{66} +(1803.04 - 483.124i) q^{67} +(-1962.30 + 3398.80i) q^{68} +(2210.76 - 1276.38i) q^{69} +(-7937.63 - 7937.63i) q^{70} +(776.613 - 2898.36i) q^{71} +(22.3626 + 5.99204i) q^{72} +(-6818.40 + 6818.40i) q^{73} +(2178.11 + 3772.59i) q^{74} +(-8122.11 - 4689.30i) q^{75} +(-2110.56 - 7876.72i) q^{76} +2100.78i q^{77} +(5051.33 + 6525.44i) q^{78} +2503.91 q^{79} +(9907.45 - 2654.69i) q^{80} +(2939.04 - 5090.57i) q^{81} +(-3432.69 + 1981.86i) q^{82} +(7971.73 + 7971.73i) q^{83} +(-1737.86 + 6485.78i) q^{84} +(9513.85 + 2549.23i) q^{85} +(4541.98 - 4541.98i) q^{86} +(1589.82 + 2753.65i) q^{87} +(115.287 + 66.5609i) q^{88} +(-3752.75 - 14005.5i) q^{89} -1821.33i q^{90} +(6341.55 - 4908.98i) q^{91} -4927.83 q^{92} +(-7320.65 + 1961.56i) q^{93} +(2459.76 - 4260.44i) q^{94} +(-17723.5 + 10232.7i) q^{95} +(-8829.40 - 8829.40i) q^{96} +(-1917.54 + 7156.34i) q^{97} +(-821.997 - 220.254i) q^{98} +(-241.017 + 241.017i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 16 q - 4 q^{2} - 2 q^{3} - 6 q^{4} + 8 q^{5} - 38 q^{6} + 56 q^{7} + 90 q^{8} - 164 q^{9}+O(q^{10}) \) 16 * q - 4 * q^2 - 2 * q^3 - 6 * q^4 + 8 * q^5 - 38 * q^6 + 56 * q^7 + 90 * q^8 - 164 * q^9	\( 16 q - 4 q^{2} - 2 q^{3} - 6 q^{4} + 8 q^{5} - 38 q^{6} + 56 q^{7} + 90 q^{8} - 164 q^{9} - 486 q^{10} - 100 q^{11} + 294 q^{13} + 808 q^{14} + 346 q^{15} + 230 q^{16} + 984 q^{17} + 2434 q^{18} - 1498 q^{19} - 3962 q^{20} - 1076 q^{21} - 1524 q^{22} - 1014 q^{23} - 2142 q^{24} + 614 q^{26} + 3352 q^{27} + 5764 q^{28} + 814 q^{29} + 9162 q^{30} + 4060 q^{31} - 4996 q^{32} - 5636 q^{33} - 2502 q^{34} - 4892 q^{35} - 15750 q^{36} - 1790 q^{37} + 6982 q^{39} + 18816 q^{40} + 4280 q^{41} - 1204 q^{42} - 1368 q^{43} + 10736 q^{44} - 6806 q^{45} - 15246 q^{46} + 1484 q^{47} - 3002 q^{48} - 11820 q^{49} - 13574 q^{50} + 1432 q^{52} + 7204 q^{53} + 13240 q^{54} + 6936 q^{55} + 8124 q^{56} + 12736 q^{57} + 3030 q^{58} - 2380 q^{59} - 6472 q^{60} - 162 q^{61} + 19614 q^{62} + 12004 q^{63} - 5248 q^{65} - 23872 q^{66} - 14854 q^{67} - 6444 q^{68} + 2412 q^{69} - 34524 q^{70} - 8050 q^{71} + 15420 q^{72} - 15448 q^{73} - 2882 q^{74} + 8280 q^{75} + 10622 q^{76} - 11672 q^{78} - 17064 q^{79} + 2564 q^{80} + 2128 q^{81} - 5346 q^{82} + 12788 q^{83} + 25948 q^{84} + 35382 q^{85} + 67260 q^{86} + 29342 q^{87} + 40836 q^{88} + 20492 q^{89} + 8996 q^{91} - 49884 q^{92} - 78920 q^{93} - 30606 q^{94} - 98574 q^{95} - 94664 q^{96} + 50944 q^{97} + 61484 q^{98} - 21632 q^{99}+O(q^{100}) \) 16 * q - 4 * q^2 - 2 * q^3 - 6 * q^4 + 8 * q^5 - 38 * q^6 + 56 * q^7 + 90 * q^8 - 164 * q^9 - 486 * q^10 - 100 * q^11 + 294 * q^13 + 808 * q^14 + 346 * q^15 + 230 * q^16 + 984 * q^17 + 2434 * q^18 - 1498 * q^19 - 3962 * q^20 - 1076 * q^21 - 1524 * q^22 - 1014 * q^23 - 2142 * q^24 + 614 * q^26 + 3352 * q^27 + 5764 * q^28 + 814 * q^29 + 9162 * q^30 + 4060 * q^31 - 4996 * q^32 - 5636 * q^33 - 2502 * q^34 - 4892 * q^35 - 15750 * q^36 - 1790 * q^37 + 6982 * q^39 + 18816 * q^40 + 4280 * q^41 - 1204 * q^42 - 1368 * q^43 + 10736 * q^44 - 6806 * q^45 - 15246 * q^46 + 1484 * q^47 - 3002 * q^48 - 11820 * q^49 - 13574 * q^50 + 1432 * q^52 + 7204 * q^53 + 13240 * q^54 + 6936 * q^55 + 8124 * q^56 + 12736 * q^57 + 3030 * q^58 - 2380 * q^59 - 6472 * q^60 - 162 * q^61 + 19614 * q^62 + 12004 * q^63 - 5248 * q^65 - 23872 * q^66 - 14854 * q^67 - 6444 * q^68 + 2412 * q^69 - 34524 * q^70 - 8050 * q^71 + 15420 * q^72 - 15448 * q^73 - 2882 * q^74 + 8280 * q^75 + 10622 * q^76 - 11672 * q^78 - 17064 * q^79 + 2564 * q^80 + 2128 * q^81 - 5346 * q^82 + 12788 * q^83 + 25948 * q^84 + 35382 * q^85 + 67260 * q^86 + 29342 * q^87 + 40836 * q^88 + 20492 * q^89 + 8996 * q^91 - 49884 * q^92 - 78920 * q^93 - 30606 * q^94 - 98574 * q^95 - 94664 * q^96 + 50944 * q^97 + 61484 * q^98 - 21632 * q^99

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