LMFDB - Embedded newform 32.4.g.a.21.5

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [32,4,Mod(5,32)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(32, base_ring=CyclotomicField(8))

chi = DirichletCharacter(H, H._module([0, 1]))

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

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

chi := DirichletCharacter("32.5");

S:= CuspForms(chi, 4);

N := Newforms(S);

Level:	$ N $	$=$	$ 32 = 2^{5} $
Weight:	$ k $	$=$	$ 4 $
Character orbit:	$[\chi]$	$=$	32.g (of order $8$, 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:	$1.88806112018$
Analytic rank:	$0$
Dimension:	$44$
Relative dimension:	$11$ over $\Q(\zeta_{8})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{8}]$

Embedding invariants

Embedding label			21.5
Character	$\chi$	$=$	32.21
Dual form			32.4.g.a.29.5

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.755905 - 2.72555i) q^{2} +(-6.06585 + 2.51256i) q^{3} +(-6.85721 + 4.12051i) q^{4} +(-2.91165 + 7.02935i) q^{5} +(11.4333 + 14.6335i) q^{6} +(-13.3899 - 13.3899i) q^{7} +(16.4141 + 15.5749i) q^{8} +(11.3897 - 11.3897i) q^{9} +O(q^{10})$	\(q+(-0.755905 - 2.72555i) q^{2} +(-6.06585 + 2.51256i) q^{3} +(-6.85721 + 4.12051i) q^{4} +(-2.91165 + 7.02935i) q^{5} +(11.4333 + 14.6335i) q^{6} +(-13.3899 - 13.3899i) q^{7} +(16.4141 + 15.5749i) q^{8} +(11.3897 - 11.3897i) q^{9} +(21.3598 + 2.62232i) q^{10} +(-49.6279 - 20.5565i) q^{11} +(31.2418 - 42.2236i) q^{12} +(8.74801 + 21.1196i) q^{13} +(-26.3734 + 46.6165i) q^{14} -49.9547i q^{15} +(30.0428 - 56.5105i) q^{16} -77.7412i q^{17} +(-39.6528 - 22.4337i) q^{18} +(53.3229 + 128.733i) q^{19} +(-8.99870 - 60.1993i) q^{20} +(114.864 + 47.5784i) q^{21} +(-18.5138 + 150.802i) q^{22} +(-35.5116 + 35.5116i) q^{23} +(-138.698 - 53.2340i) q^{24} +(47.4543 + 47.4543i) q^{25} +(50.9497 - 39.8075i) q^{26} +(27.3680 - 66.0722i) q^{27} +(146.991 + 36.6443i) q^{28} +(-245.435 + 101.662i) q^{29} +(-136.154 + 37.7610i) q^{30} -202.613 q^{31} +(-176.731 - 39.1664i) q^{32} +352.685 q^{33} +(-211.887 + 58.7650i) q^{34} +(133.110 - 55.1358i) q^{35} +(-31.1703 + 125.033i) q^{36} +(36.3055 - 87.6493i) q^{37} +(310.561 - 242.644i) q^{38} +(-106.128 - 106.128i) q^{39} +(-157.274 + 70.0314i) q^{40} +(-36.8088 + 36.8088i) q^{41} +(42.8506 - 349.033i) q^{42} +(185.642 + 76.8954i) q^{43} +(425.013 - 63.5317i) q^{44} +(46.8995 + 113.225i) q^{45} +(123.632 + 69.9451i) q^{46} -82.9731i q^{47} +(-40.2491 + 418.268i) q^{48} +15.5815i q^{49} +(93.4679 - 165.210i) q^{50} +(195.329 + 471.567i) q^{51} +(-147.010 - 108.775i) q^{52} +(-534.758 - 221.504i) q^{53} +(-200.770 - 24.6484i) q^{54} +(288.998 - 288.998i) q^{55} +(-11.2357 - 428.331i) q^{56} +(-646.898 - 646.898i) q^{57} +(462.611 + 592.096i) q^{58} +(75.7461 - 182.867i) q^{59} +(205.839 + 342.550i) q^{60} +(-472.240 + 195.608i) q^{61} +(153.157 + 552.232i) q^{62} -305.016 q^{63} +(26.8424 + 511.296i) q^{64} -173.928 q^{65} +(-266.597 - 961.260i) q^{66} +(-102.750 + 42.5604i) q^{67} +(320.333 + 533.088i) q^{68} +(126.183 - 304.633i) q^{69} +(-250.893 - 321.119i) q^{70} +(520.392 + 520.392i) q^{71} +(364.346 - 9.55728i) q^{72} +(244.389 - 244.389i) q^{73} +(-266.336 - 32.6978i) q^{74} +(-407.082 - 168.619i) q^{75} +(-896.092 - 663.031i) q^{76} +(389.264 + 939.766i) q^{77} +(-209.035 + 369.480i) q^{78} +774.758i q^{79} +(309.758 + 375.720i) q^{80} +904.451i q^{81} +(128.148 + 72.5002i) q^{82} +(-23.9166 - 57.7397i) q^{83} +(-983.698 + 147.045i) q^{84} +(546.470 + 226.355i) q^{85} +(69.2543 - 564.101i) q^{86} +(1233.34 - 1233.34i) q^{87} +(-494.428 - 1110.37i) q^{88} +(-351.137 - 351.137i) q^{89} +(273.150 - 213.415i) q^{90} +(165.654 - 399.925i) q^{91} +(97.1846 - 389.837i) q^{92} +(1229.02 - 509.078i) q^{93} +(-226.147 + 62.7198i) q^{94} -1060.17 q^{95} +(1170.43 - 206.470i) q^{96} +1302.03 q^{97} +(42.4681 - 11.7781i) q^{98} +(-799.382 + 331.115i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 44 q - 4 q^{2} - 4 q^{3} - 4 q^{4} - 4 q^{5} - 4 q^{6} - 4 q^{7} - 4 q^{8} - 4 q^{9}+O(q^{10}) $ 44 * q - 4 * q^2 - 4 * q^3 - 4 * q^4 - 4 * q^5 - 4 * q^6 - 4 * q^7 - 4 * q^8 - 4 * q^9	\( 44 q - 4 q^{2} - 4 q^{3} - 4 q^{4} - 4 q^{5} - 4 q^{6} - 4 q^{7} - 4 q^{8} - 4 q^{9} + 116 q^{10} - 4 q^{11} - 52 q^{12} - 4 q^{13} - 212 q^{14} - 304 q^{16} - 184 q^{18} - 4 q^{19} + 76 q^{20} - 4 q^{21} + 192 q^{22} + 324 q^{23} - 48 q^{24} - 4 q^{25} + 16 q^{26} - 268 q^{27} + 376 q^{28} - 4 q^{29} + 1188 q^{30} - 752 q^{31} + 616 q^{32} - 8 q^{33} + 528 q^{34} - 460 q^{35} + 1456 q^{36} - 4 q^{37} + 980 q^{38} + 596 q^{39} - 536 q^{40} - 4 q^{41} - 2264 q^{42} + 804 q^{43} - 2044 q^{44} + 104 q^{45} - 1444 q^{46} - 2448 q^{48} - 3564 q^{50} - 1384 q^{51} - 2524 q^{52} + 748 q^{53} - 1088 q^{54} - 292 q^{55} + 1192 q^{56} - 4 q^{57} + 3200 q^{58} + 1372 q^{59} + 5752 q^{60} - 1828 q^{61} + 3384 q^{62} + 2512 q^{63} + 4952 q^{64} - 8 q^{65} + 5996 q^{66} + 2036 q^{67} + 2768 q^{68} - 1060 q^{69} + 1400 q^{70} + 220 q^{71} - 1708 q^{72} - 4 q^{73} - 3476 q^{74} - 1712 q^{75} - 5124 q^{76} + 1900 q^{77} - 11916 q^{78} - 10312 q^{80} - 6404 q^{82} + 2436 q^{83} - 6560 q^{84} + 496 q^{85} - 928 q^{86} - 1292 q^{87} + 1248 q^{88} - 4 q^{89} + 7400 q^{90} - 3604 q^{91} + 10152 q^{92} - 112 q^{93} + 12840 q^{94} - 6088 q^{95} + 17792 q^{96} - 8 q^{97} + 11224 q^{98} - 5424 q^{99}+O(q^{100}) \) 44 * q - 4 * q^2 - 4 * q^3 - 4 * q^4 - 4 * q^5 - 4 * q^6 - 4 * q^7 - 4 * q^8 - 4 * q^9 + 116 * q^10 - 4 * q^11 - 52 * q^12 - 4 * q^13 - 212 * q^14 - 304 * q^16 - 184 * q^18 - 4 * q^19 + 76 * q^20 - 4 * q^21 + 192 * q^22 + 324 * q^23 - 48 * q^24 - 4 * q^25 + 16 * q^26 - 268 * q^27 + 376 * q^28 - 4 * q^29 + 1188 * q^30 - 752 * q^31 + 616 * q^32 - 8 * q^33 + 528 * q^34 - 460 * q^35 + 1456 * q^36 - 4 * q^37 + 980 * q^38 + 596 * q^39 - 536 * q^40 - 4 * q^41 - 2264 * q^42 + 804 * q^43 - 2044 * q^44 + 104 * q^45 - 1444 * q^46 - 2448 * q^48 - 3564 * q^50 - 1384 * q^51 - 2524 * q^52 + 748 * q^53 - 1088 * q^54 - 292 * q^55 + 1192 * q^56 - 4 * q^57 + 3200 * q^58 + 1372 * q^59 + 5752 * q^60 - 1828 * q^61 + 3384 * q^62 + 2512 * q^63 + 4952 * q^64 - 8 * q^65 + 5996 * q^66 + 2036 * q^67 + 2768 * q^68 - 1060 * q^69 + 1400 * q^70 + 220 * q^71 - 1708 * q^72 - 4 * q^73 - 3476 * q^74 - 1712 * q^75 - 5124 * q^76 + 1900 * q^77 - 11916 * q^78 - 10312 * q^80 - 6404 * q^82 + 2436 * q^83 - 6560 * q^84 + 496 * q^85 - 928 * q^86 - 1292 * q^87 + 1248 * q^88 - 4 * q^89 + 7400 * q^90 - 3604 * q^91 + 10152 * q^92 - 112 * q^93 + 12840 * q^94 - 6088 * q^95 + 17792 * q^96 - 8 * q^97 + 11224 * q^98 - 5424 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/32\mathbb{Z}\right)^\times$.

$n$	$5$	$31$
$\chi(n)$	$e\left(\frac{5}{8}\right)$	$1$

Coefficient data

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

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

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

$2$	−0.755905	−	2.72555i	−0.267253	−	0.963626i
$2$	−0.755905	−	2.72555i	−0.267253	−	0.963626i
$3$	−6.06585	+	2.51256i	−1.16737	+	0.483542i	−0.880324	−	0.474373i	$-0.842675\pi$
$3$	−6.06585	+	2.51256i	−1.16737	+	0.483542i	−0.287050	+	0.957916i	$0.592675\pi$
$4$	−6.85721	+	4.12051i	−0.857152	+	0.515064i
$5$	−2.91165	+	7.02935i	−0.260426	+	0.628724i	−0.998965	−	0.0454866i	$-0.985516\pi$
$5$	−2.91165	+	7.02935i	−0.260426	+	0.628724i	0.738539	+	0.674211i	$0.235516\pi$
$6$	11.4333	+	14.6335i	0.777938	+	0.995684i
$7$	−13.3899	−	13.3899i	−0.722989	−	0.722989i	0.246224	−	0.969213i	$-0.420810\pi$
$7$	−13.3899	−	13.3899i	−0.722989	−	0.722989i	−0.969213	+	0.246224i	$0.920810\pi$
$8$	16.4141	+	15.5749i	0.725406	+	0.688322i
$9$	11.3897	−	11.3897i	0.421842	−	0.421842i
$10$	21.3598	+	2.62232i	0.675455	+	0.0829251i
$11$	−49.6279	−	20.5565i	−1.36031	−	0.563457i	−0.421164	−	0.906985i	$-0.638378\pi$
$11$	−49.6279	−	20.5565i	−1.36031	−	0.563457i	−0.939143	+	0.343527i	$0.888378\pi$
$12$	31.2418	−	42.2236i	0.751561	−	1.01574i
$13$	8.74801	+	21.1196i	0.186635	+	0.450578i	0.989308	−	0.145842i	$-0.0465892\pi$
$13$	8.74801	+	21.1196i	0.186635	+	0.450578i	−0.802672	+	0.596420i	$0.796589\pi$
$14$	−26.3734	+	46.6165i	−0.503471	+	0.889913i
$15$		−	49.9547i		−	0.859884i
$16$	30.0428	−	56.5105i	0.469418	−	0.882976i
$17$		−	77.7412i		−	1.10912i	−0.832144	−	0.554559i	$-0.812887\pi$
$17$		−	77.7412i		−	1.10912i	0.832144	−	0.554559i	$-0.187113\pi$
$18$	−39.6528	−	22.4337i	−0.519237	−	0.293760i
$19$	53.3229	+	128.733i	0.643848	+	1.55439i	0.821447	+	0.570284i	$0.193167\pi$
$19$	53.3229	+	128.733i	0.643848	+	1.55439i	−0.177599	+	0.984103i	$0.556833\pi$
$20$	−8.99870	−	60.1993i	−0.100609	−	0.673048i
$21$	114.864	+	47.5784i	1.19359	+	0.494403i
$22$	−18.5138	+	150.802i	−0.179417	+	1.46141i
$23$	−35.5116	+	35.5116i	−0.321943	+	0.321943i	−0.849512	−	0.527569i	$-0.823103\pi$
$23$	−35.5116	+	35.5116i	−0.321943	+	0.321943i	0.527569	+	0.849512i	$0.323103\pi$
$24$	−138.698	−	53.2340i	−1.17965	−	0.452765i
$25$	47.4543	+	47.4543i	0.379634	+	0.379634i
$26$	50.9497	−	39.8075i	0.384310	−	0.300265i
$27$	27.3680	−	66.0722i	0.195073	−	0.470948i
$28$	146.991	+	36.6443i	0.992097	+	0.247326i
$29$	−245.435	+	101.662i	−1.57159	+	0.650973i	−0.987053	−	0.160395i	$-0.948723\pi$
$29$	−245.435	+	101.662i	−1.57159	+	0.650973i	−0.584535	+	0.811368i	$0.698723\pi$
$30$	−136.154	+	37.7610i	−0.828606	+	0.229806i
$31$	−202.613			−1.17389			−0.586943	−	0.809629i	$-0.699669\pi$
$31$	−202.613			−1.17389			−0.586943	+	0.809629i	$0.699669\pi$
$32$	−176.731	−	39.1664i	−0.976312	−	0.216366i
$33$	352.685			1.86044
$34$	−211.887	+	58.7650i	−1.06878	+	0.296415i
$35$	133.110	−	55.1358i	0.642846	−	0.266276i
$36$	−31.1703	+	125.033i	−0.144307	+	0.578858i
$37$	36.3055	−	87.6493i	0.161313	−	0.389445i	−0.822469	−	0.568809i	$-0.807404\pi$
$37$	36.3055	−	87.6493i	0.161313	−	0.389445i	0.983783	+	0.179365i	$0.0574042\pi$
$38$	310.561	−	242.644i	1.32578	−	1.03584i
$39$	−106.128	−	106.128i	−0.435747	−	0.435747i
$40$	−157.274	+	70.0314i	−0.621679	+	0.276823i
$41$	−36.8088	+	36.8088i	−0.140209	+	0.140209i	−0.773728	−	0.633518i	$-0.781610\pi$
$41$	−36.8088	+	36.8088i	−0.140209	+	0.140209i	0.633518	+	0.773728i	$0.281610\pi$
$42$	42.8506	−	349.033i	0.157428	−	1.28231i
$43$	185.642	+	76.8954i	0.658375	+	0.272708i	0.686754	−	0.726889i	$-0.259035\pi$
$43$	185.642	+	76.8954i	0.658375	+	0.272708i	−0.0283797	+	0.999597i	$0.509035\pi$
$44$	425.013	−	63.5317i	1.45621	−	0.217676i
$45$	46.8995	+	113.225i	0.155364	+	0.375081i
$46$	123.632	+	69.9451i	0.396272	+	0.224192i
$47$		−	82.9731i		−	0.257508i	−0.991677	−	0.128754i	$-0.958902\pi$
$47$		−	82.9731i		−	0.257508i	0.991677	−	0.128754i	$-0.0410977\pi$
$48$	−40.2491	+	418.268i	−0.121030	+	1.25775i
$49$			15.5815i			0.0454271i
$50$	93.4679	−	165.210i	0.264367	−	0.467284i
$51$	195.329	+	471.567i	0.536305	+	1.29476i
$52$	−147.010	−	108.775i	−0.392051	−	0.290084i
$53$	−534.758	−	221.504i	−1.38594	−	0.574074i	−0.439876	−	0.898059i	$-0.644978\pi$
$53$	−534.758	−	221.504i	−1.38594	−	0.574074i	−0.946062	+	0.323984i	$0.894978\pi$
$54$	−200.770	−	24.6484i	−0.505952	−	0.0621153i
$55$	288.998	−	288.998i	0.708519	−	0.708519i
$56$	−11.2357	−	428.331i	−0.0268113	−	1.02211i
$57$	−646.898	−	646.898i	−1.50322	−	1.50322i
$58$	462.611	+	592.096i	1.04731	+	1.34045i
$59$	75.7461	−	182.867i	0.167141	−	0.403513i	−0.818010	−	0.575204i	$-0.804923\pi$
$59$	75.7461	−	182.867i	0.167141	−	0.403513i	0.985151	+	0.171690i	$0.0549228\pi$
$60$	205.839	+	342.550i	0.442895	+	0.737051i
$61$	−472.240	+	195.608i	−0.991216	+	0.410575i	−0.818569	−	0.574409i	$-0.805232\pi$
$61$	−472.240	+	195.608i	−0.991216	+	0.410575i	−0.172647	+	0.984984i	$0.555232\pi$
$62$	153.157	+	552.232i	0.313724	+	1.13119i
$63$	−305.016			−0.609975
$64$	26.8424	+	511.296i	0.0524265	+	0.998625i
$65$	−173.928			−0.331894
$66$	−266.597	−	961.260i	−0.497209	−	1.79277i
$67$	−102.750	+	42.5604i	−0.187357	+	0.0776057i	−0.474389	−	0.880315i	$-0.657331\pi$
$67$	−102.750	+	42.5604i	−0.187357	+	0.0776057i	0.287033	+	0.957921i	$0.407331\pi$
$68$	320.333	+	533.088i	0.571267	+	0.950682i
$69$	126.183	−	304.633i	0.220155	−	0.531500i
$70$	−250.893	−	321.119i	−0.428393	−	0.548301i
$71$	520.392	+	520.392i	0.869847	+	0.869847i	0.992455	−	0.122608i	$-0.0391258\pi$
$71$	520.392	+	520.392i	0.869847	+	0.869847i	−0.122608	+	0.992455i	$0.539126\pi$
$72$	364.346	−	9.55728i	0.596370	−	0.0156436i
$73$	244.389	−	244.389i	0.391829	−	0.391829i	−0.483510	−	0.875339i	$-0.660638\pi$
$73$	244.389	−	244.389i	0.391829	−	0.391829i	0.875339	+	0.483510i	$0.160638\pi$
$74$	−266.336	−	32.6978i	−0.418390	−	0.0513655i
$75$	−407.082	−	168.619i	−0.626744	−	0.259606i
$76$	−896.092	−	663.031i	−1.35248	−	1.00072i
$77$	389.264	+	939.766i	0.576113	+	1.39086i
$78$	−209.035	+	369.480i	−0.303442	+	0.536351i
$79$			774.758i			1.10338i	0.834049	+	0.551690i	$0.186017\pi$
$79$			774.758i			1.10338i	−0.834049	+	0.551690i	$0.813983\pi$
$80$	309.758	+	375.720i	0.432900	+	0.525085i
$81$			904.451i			1.24067i
$82$	128.148	+	72.5002i	0.172581	+	0.0976379i
$83$	−23.9166	−	57.7397i	−0.0316287	−	0.0763585i	0.907276	−	0.420536i	$-0.138158\pi$
$83$	−23.9166	−	57.7397i	−0.0316287	−	0.0763585i	−0.938905	+	0.344177i	$0.888158\pi$
$84$	−983.698	+	147.045i	−1.27774	+	0.190999i
$85$	546.470	+	226.355i	0.697330	+	0.288843i
$86$	69.2543	−	564.101i	0.0868358	−	0.707309i
$87$	1233.34	−	1233.34i	1.51986	−	1.51986i
$88$	−494.428	−	1110.37i	−0.598934	−	1.34506i
$89$	−351.137	−	351.137i	−0.418207	−	0.418207i	0.466378	−	0.884585i	$-0.345559\pi$
$89$	−351.137	−	351.137i	−0.418207	−	0.418207i	−0.884585	+	0.466378i	$0.845559\pi$
$90$	273.150	−	213.415i	0.319917	−	0.249954i
$91$	165.654	−	399.925i	0.190827	−	0.460698i
$92$	97.1846	−	389.837i	0.110133	−	0.441775i
$93$	1229.02	−	509.078i	1.37036	−	0.567623i
$94$	−226.147	+	62.7198i	−0.248141	+	0.0688197i
$95$	−1060.17			−1.14496
$96$	1170.43	−	206.470i	1.24434	−	0.219508i
$97$	1302.03			1.36290			0.681452	−	0.731863i	$-0.261349\pi$
$97$	1302.03			1.36290			0.681452	+	0.731863i	$0.261349\pi$
$98$	42.4681	−	11.7781i	0.0437747	−	0.0121405i
$99$	−799.382	+	331.115i	−0.811525	+	0.336145i
$100$	−520.940	−	129.868i	−0.520940	−	0.129868i
$101$	255.210	−	616.132i	0.251429	−	0.607004i	−0.746891	−	0.664947i	$-0.768454\pi$
$101$	255.210	−	616.132i	0.251429	−	0.607004i	0.998320	+	0.0579428i	$0.0184541\pi$
$102$	1137.63	−	888.839i	1.10433	−	0.862825i
$103$	119.916	+	119.916i	0.114715	+	0.114715i	0.762134	−	0.647419i	$-0.224152\pi$
$103$	119.916	+	119.916i	0.114715	+	0.114715i	−0.647419	+	0.762134i	$0.724152\pi$
$104$	−185.346	+	482.907i	−0.174756	+	0.455317i
$105$	−668.891	+	668.891i	−0.621687	+	0.621687i
$106$	−199.493	+	1624.95i	−0.182797	+	1.48895i
$107$	−659.373	−	273.121i	−0.595738	−	0.246763i	0.0643789	−	0.997926i	$-0.479493\pi$
$107$	−659.373	−	273.121i	−0.595738	−	0.246763i	−0.660117	+	0.751163i	$0.729493\pi$
$108$	84.5830	+	565.841i	0.0753612	+	0.504149i
$109$	−471.995	−	1139.50i	−0.414761	−	1.00132i	−0.983842	−	0.179040i	$-0.942701\pi$
$109$	−471.995	−	1139.50i	−0.414761	−	1.00132i	0.569081	−	0.822281i	$-0.307299\pi$
$110$	−1006.13	−	569.223i	−0.872101	−	0.493394i
$111$			622.887i			0.532629i
$112$	−1158.94	+	354.401i	−0.977767	+	0.298998i
$113$			832.434i			0.692998i	0.938050	+	0.346499i	$0.112630\pi$
$113$			832.434i			0.692998i	−0.938050	+	0.346499i	$0.887370\pi$
$114$	−1274.16	+	2252.14i	−1.04680	+	1.85029i
$115$	−146.226	−	353.021i	−0.118571	−	0.286255i
$116$	1264.10	−	1708.44i	1.01180	−	1.36745i
$117$	340.184	+	140.909i	0.268803	+	0.111342i
$118$	−555.670	−	68.2192i	−0.433505	−	0.0532210i
$119$	−1040.95	+	1040.95i	−0.801880	+	0.801880i
$120$	778.042	−	819.959i	0.591876	−	0.623764i
$121$	1099.20	+	1099.20i	0.825843	+	0.825843i
$122$	890.109	+	1139.25i	0.660546	+	0.845434i
$123$	130.793	−	315.761i	0.0958795	−	0.231473i
$124$	1389.36	−	834.871i	1.00620	−	0.604626i
$125$	−1350.41	+	559.359i	−0.966276	+	0.400245i
$126$	230.563	+	831.335i	0.163018	+	0.587788i
$127$	187.556			0.131046			0.0655232	−	0.997851i	$-0.479128\pi$
$127$	187.556			0.131046			0.0655232	+	0.997851i	$0.479128\pi$
$128$	1373.27	−	459.652i	0.948290	−	0.317405i
$129$	−1319.28			−0.900435
$130$	131.473	+	474.049i	0.0886996	+	0.319822i
$131$	1001.26	−	414.737i	0.667793	−	0.276609i	−0.0229207	−	0.999737i	$-0.507297\pi$
$131$	1001.26	−	414.737i	0.667793	−	0.276609i	0.690714	+	0.723128i	$0.257297\pi$
$132$	−2418.44	+	1453.24i	−1.59468	+	0.958247i
$133$	1009.74	−	2437.72i	0.658310	−	1.58930i
$134$	193.670	+	247.878i	0.124854	+	0.159801i
$135$	384.759	+	384.759i	0.245294	+	0.245294i
$136$	1210.81	−	1276.05i	0.763430	−	0.804560i
$137$	−1273.38	+	1273.38i	−0.794101	+	0.794101i	−0.982158	−	0.188057i	$-0.939781\pi$
$137$	−1273.38	+	1273.38i	−0.794101	+	0.794101i	0.188057	+	0.982158i	$0.439781\pi$
$138$	−925.674	−	113.644i	−0.571005	−	0.0701018i
$139$	−2129.20	−	881.945i	−1.29926	−	0.538170i	−0.377525	−	0.925999i	$-0.623225\pi$
$139$	−2129.20	−	881.945i	−1.29926	−	0.538170i	−0.921731	+	0.387830i	$0.873225\pi$
$140$	−685.573	+	926.557i	−0.413868	+	0.559346i
$141$	208.475	+	503.302i	0.124516	+	0.300608i
$142$	1024.99	−	1811.72i	0.605738	−	1.07068i
$143$		−	1227.95i		−	0.718085i
$144$	−301.460	−	985.818i	−0.174456	−	0.570497i
$145$		−	2021.25i		−	1.15763i
$146$	−850.828	−	481.358i	−0.482295	−	0.272860i
$147$	−39.1494	−	94.5150i	−0.0219659	−	0.0530304i
$148$	112.205	+	750.627i	0.0623190	+	0.416900i
$149$	139.146	+	57.6361i	0.0765051	+	0.0316895i	0.420608	−	0.907243i	$-0.361817\pi$
$149$	139.146	+	57.6361i	0.0765051	+	0.0316895i	−0.344103	+	0.938932i	$0.611817\pi$
$150$	−151.863	+	1236.98i	−0.0826639	+	0.673328i
$151$	−2027.42	+	2027.42i	−1.09264	+	1.09264i	−0.0973988	+	0.995245i	$0.531052\pi$
$151$	−2027.42	+	2027.42i	−1.09264	+	1.09264i	−0.995245	+	0.0973988i	$0.968948\pi$
$152$	−1129.76	+	2943.53i	−0.602867	+	1.57074i
$153$	−885.452	−	885.452i	−0.467873	−	0.467873i
$154$	2267.13	−	1771.33i	1.18630	−	0.926870i
$155$	589.940	−	1424.24i	0.305710	−	0.738050i
$156$	1165.05	+	290.441i	0.597938	+	0.149064i
$157$	816.713	−	338.294i	0.415164	−	0.171967i	−0.165317	−	0.986241i	$-0.552865\pi$
$157$	816.713	−	338.294i	0.415164	−	0.171967i	0.580481	+	0.814274i	$0.302865\pi$
$158$	2111.64	−	585.644i	1.06325	−	0.294882i
$159$	3800.31			1.89550
$160$	789.895	−	1128.27i	0.390292	−	0.557484i
$161$	950.997			0.465522
$162$	2465.12	−	683.679i	1.19555	−	0.331574i
$163$	−953.491	+	394.949i	−0.458179	+	0.189784i	−0.599821	−	0.800134i	$-0.704762\pi$
$163$	−953.491	+	394.949i	−0.458179	+	0.189784i	0.141642	+	0.989918i	$0.454762\pi$
$164$	100.735	−	404.077i	0.0479638	−	0.192397i
$165$	−1026.90	+	2479.15i	−0.484508	+	1.16971i
$166$	−139.294	+	108.831i	−0.0651282	+	0.0508853i
$167$	−896.156	−	896.156i	−0.415249	−	0.415249i	0.468313	−	0.883563i	$-0.344862\pi$
$167$	−896.156	−	896.156i	−0.415249	−	0.415249i	−0.883563	+	0.468313i	$0.844862\pi$
$168$	1144.36	+	2569.96i	0.525532	+	1.18022i
$169$	1184.01	−	1184.01i	0.538919	−	0.538919i
$170$	203.862	−	1660.53i	0.0919737	−	0.749159i
$171$	2073.57	+	858.900i	0.927308	+	0.384104i
$172$	−1589.83	+	237.651i	−0.704789	+	0.105353i
$173$	−268.247	−	647.606i	−0.117887	−	0.284604i	0.853911	−	0.520419i	$-0.174224\pi$
$173$	−268.247	−	647.606i	−0.117887	−	0.284604i	−0.971798	+	0.235815i	$0.924224\pi$
$174$	−4293.81	−	2429.23i	−1.87076	−	1.05839i
$175$		−	1270.82i		−	0.548943i
$176$	−2652.62	+	2186.92i	−1.13607	+	0.936621i
$177$			1299.56i			0.551870i
$178$	−691.614	+	1222.47i	−0.291228	+	0.514763i
$179$	842.440	+	2033.83i	0.351770	+	0.849249i	0.996402	+	0.0847553i	$0.0270109\pi$
$179$	842.440	+	2033.83i	0.351770	+	0.849249i	−0.644631	+	0.764494i	$0.722989\pi$
$180$	−788.147	−	583.161i	−0.326361	−	0.241479i
$181$	1394.35	+	577.557i	0.572602	+	0.237180i	0.650146	−	0.759809i	$-0.274708\pi$
$181$	1394.35	+	577.557i	0.572602	+	0.237180i	−0.0775438	+	0.996989i	$0.524708\pi$
$182$	−1215.23	−	149.193i	−0.494940	−	0.0607634i
$183$	2373.06	−	2373.06i	0.958589	−	0.958589i
$184$	−1135.98	+	29.7982i	−0.455139	+	0.0119389i
$185$	510.408	+	510.408i	0.202843	+	0.202843i
$186$	−2316.54	−	2964.95i	−0.913210	−	1.16882i
$187$	−1598.09	+	3858.13i	−0.624941	+	1.50874i
$188$	341.892	+	568.964i	0.132633	+	0.220723i
$189$	−1251.16	+	518.247i	−0.481526	+	0.199455i
$190$	801.386	+	2889.53i	0.305993	+	1.10331i
$191$	779.721			0.295386			0.147693	−	0.989033i	$-0.452815\pi$
$191$	779.721			0.295386			0.147693	+	0.989033i	$0.452815\pi$
$192$	−1447.48	−	3034.00i	−0.544079	−	1.14042i
$193$	−4175.15			−1.55717			−0.778585	−	0.627539i	$-0.784062\pi$
$193$	−4175.15			−1.55717			−0.778585	+	0.627539i	$0.784062\pi$
$194$	−984.215	−	3548.76i	−0.364240	−	1.31333i
$195$	1055.02	−	437.004i	0.387444	−	0.160485i
$196$	−64.2037	−	106.846i	−0.0233978	−	0.0389379i
$197$	−1793.41	+	4329.67i	−0.648604	+	1.56587i	0.166174	+	0.986096i	$0.446859\pi$
$197$	−1793.41	+	4329.67i	−0.648604	+	1.56587i	−0.814778	+	0.579773i	$0.803141\pi$
$198$	1506.73	+	1928.46i	0.540800	+	0.692171i
$199$	1333.84	+	1333.84i	0.475144	+	0.475144i	0.903575	−	0.428431i	$-0.140933\pi$
$199$	1333.84	+	1333.84i	0.475144	+	0.475144i	−0.428431	+	0.903575i	$0.640933\pi$
$200$	39.8195	+	1518.01i	0.0140783	+	0.536699i
$201$	516.330	−	516.330i	0.181190	−	0.181190i
$202$	−1872.21	−	229.850i	−0.652121	−	0.0800603i
$203$	4647.61	+	1925.10i	1.60689	+	0.665595i
$204$	−3282.51	−	2428.78i	−1.12658	−	0.833570i
$205$	−151.568	−	365.917i	−0.0516388	−	0.124667i
$206$	236.192	−	417.482i	0.0798848	−	0.141201i
$207$			808.935i			0.271618i
$208$	1456.29	+	140.136i	0.485459	+	0.0467148i
$209$		−	7484.88i		−	2.47722i
$210$	2328.71	+	1317.48i	0.765221	+	0.432926i
$211$	−1172.83	−	2831.46i	−0.382658	−	0.923818i	−0.991450	−	0.130488i	$-0.958346\pi$
$211$	−1172.83	−	2831.46i	−0.382658	−	0.923818i	0.608792	−	0.793330i	$-0.291654\pi$
$212$	4579.66	−	684.577i	1.48364	−	0.221778i
$213$	−4464.13	−	1849.11i	−1.43604	−	0.594829i
$214$	−245.981	+	2003.61i	−0.0785744	+	0.640017i
$215$	−1081.05	+	1081.05i	−0.342916	+	0.342916i
$216$	1478.29	−	658.257i	0.465671	−	0.207355i
$217$	2712.98	+	2712.98i	0.848707	+	0.848707i
$218$	−2748.97	+	2147.80i	−0.854053	+	0.667280i
$219$	−868.385	+	2096.47i	−0.267945	+	0.646877i
$220$	−790.903	+	3172.55i	−0.242376	+	0.972241i
$221$	1641.86	−	680.080i	0.499744	−	0.207001i
$222$	1697.71	−	470.844i	0.513256	−	0.142347i
$223$	−2462.13			−0.739356			−0.369678	−	0.929160i	$-0.620532\pi$
$223$	−2462.13			−0.739356			−0.369678	+	0.929160i	$0.620532\pi$
$224$	1841.99	+	2890.86i	0.549433	+	0.862294i
$225$	1080.98			0.320291
$226$	2268.84	−	629.241i	0.667791	−	0.185206i
$227$	2912.19	−	1206.27i	0.851494	−	0.352700i	0.0861187	−	0.996285i	$-0.472554\pi$
$227$	2912.19	−	1206.27i	0.851494	−	0.352700i	0.765375	+	0.643585i	$0.222554\pi$
$228$	7101.47	+	1770.37i	2.06275	+	0.514234i
$229$	−578.212	+	1395.93i	−0.166853	+	0.402819i	−0.985085	−	0.172070i	$-0.944955\pi$
$229$	−578.212	+	1395.93i	−0.166853	+	0.402819i	0.818232	+	0.574889i	$0.194955\pi$
$230$	−851.642	+	665.397i	−0.244155	+	0.190761i
$231$	−4722.43	−	4722.43i	−1.34508	−	1.34508i
$232$	−5611.96	−	2153.94i	−1.58812	−	0.609539i
$233$	3037.56	−	3037.56i	0.854065	−	0.854065i	−0.136566	−	0.990631i	$-0.543607\pi$
$233$	3037.56	−	3037.56i	0.854065	−	0.854065i	0.990631	+	0.136566i	$0.0436067\pi$
$234$	126.907	−	1033.70i	0.0354536	−	0.288782i
$235$	583.247	+	241.589i	0.161901	+	0.0670618i
$236$	234.099	+	1566.07i	0.0645702	+	0.431960i
$237$	−1946.62	−	4699.57i	−0.533531	−	1.28806i
$238$	3624.02	+	2050.30i	0.987018	+	0.558408i
$239$		−	68.1814i		−	0.0184531i	−0.999957	−	0.00922654i	$-0.997063\pi$
$239$		−	68.1814i		−	0.0184531i	0.999957	−	0.00922654i	$-0.00293694\pi$
$240$	−2822.96	−	1500.78i	−0.759257	−	0.403645i
$241$			6115.20i			1.63450i	0.576282	+	0.817251i	$0.304503\pi$
$241$			6115.20i			1.63450i	−0.576282	+	0.817251i	$0.695497\pi$
$242$	2165.02	−	3826.80i	0.575095	−	1.01651i
$243$	−1533.55	−	3702.32i	−0.404845	−	0.977382i
$244$	2432.25	−	3287.20i	0.638150	−	0.862465i
$245$	−109.528	−	45.3679i	−0.0285611	−	0.0118304i
$246$	−959.489	−	117.796i	−0.248678	−	0.0305300i
$247$	−2252.31	+	2252.31i	−0.580207	+	0.580207i
$248$	−3325.71	−	3155.69i	−0.851543	−	0.808011i
$249$	290.149	+	290.149i	0.0738451	+	0.0738451i
$250$	2545.34	+	3257.79i	0.643927	+	0.824163i
$251$	183.755	−	443.623i	0.0462092	−	0.111559i	−0.899090	−	0.437765i	$-0.855770\pi$
$251$	183.755	−	443.623i	0.0462092	−	0.111559i	0.945299	+	0.326206i	$0.105770\pi$
$252$	2091.56	−	1256.82i	0.522841	−	0.314176i
$253$	2492.36	−	1032.37i	0.619341	−	0.256540i
$254$	−141.774	−	511.192i	−0.0350225	−	0.126280i
$255$	−3883.54			−0.953712
$256$	−2290.86	−	3395.46i	−0.559293	−	0.828970i
$257$	−26.1354			−0.00634350			−0.00317175	−	0.999995i	$-0.501010\pi$
$257$	−26.1354			−0.00634350			−0.00317175	+	0.999995i	$0.501010\pi$
$258$	997.251	+	3595.76i	0.240644	+	0.867683i
$259$	−1659.75	+	687.490i	−0.398192	+	0.164937i
$260$	1192.66	−	716.672i	0.284483	−	0.170947i
$261$	−1637.53	+	3953.34i	−0.388354	+	0.937570i
$262$	−1887.25	−	2415.49i	−0.445017	−	0.569578i
$263$	−2404.98	−	2404.98i	−0.563869	−	0.563869i	0.366535	−	0.930404i	$-0.380544\pi$
$263$	−2404.98	−	2404.98i	−0.563869	−	0.563869i	−0.930404	+	0.366535i	$0.880544\pi$
$264$	5788.99	+	5493.05i	1.34957	+	1.28058i
$265$	3114.06	−	3114.06i	0.721869	−	0.721869i
$266$	−7407.38	−	909.398i	−1.70743	−	0.209619i
$267$	3012.20	+	1247.69i	0.690425	+	0.285983i
$268$	529.207	−	715.228i	0.120621	−	0.163020i
$269$	3217.65	+	7768.09i	0.729306	+	1.76070i	0.644896	+	0.764270i	$0.276901\pi$
$269$	3217.65	+	7768.09i	0.729306	+	1.76070i	0.0844104	+	0.996431i	$0.473099\pi$
$270$	757.836	−	1339.52i	0.170817	−	0.301928i
$271$		−	4099.60i		−	0.918941i	−0.888193	−	0.459471i	$-0.848039\pi$
$271$		−	4099.60i		−	0.918941i	0.888193	−	0.459471i	$-0.151961\pi$
$272$	−4393.19	−	2335.56i	−0.979325	−	0.520640i
$273$			2842.10i			0.630080i
$274$	4433.20	+	2508.09i	0.977442	+	0.552991i
$275$	−1379.56	−	3330.55i	−0.302511	−	0.730327i
$276$	389.979	+	2608.87i	0.0850507	+	0.568970i
$277$	−62.6281	−	25.9414i	−0.0135847	−	0.00562696i	0.375881	−	0.926668i	$-0.377340\pi$
$277$	−62.6281	−	25.9414i	−0.0135847	−	0.00562696i	−0.389465	+	0.921041i	$0.627340\pi$
$278$	−794.306	+	6469.91i	−0.171364	+	1.39582i
$279$	−2307.71	+	2307.71i	−0.495194	+	0.495194i
$280$	3043.60	+	1168.17i	0.649608	+	0.249327i
$281$	371.515	+	371.515i	0.0788709	+	0.0788709i	0.745442	−	0.666571i	$-0.232239\pi$
$281$	371.515	+	371.515i	0.0788709	+	0.0788709i	−0.666571	+	0.745442i	$0.732239\pi$
$282$	1214.19	−	948.657i	0.256396	−	0.200325i
$283$	−1150.78	+	2778.24i	−0.241721	+	0.583566i	−0.997454	−	0.0713139i	$-0.977281\pi$
$283$	−1150.78	+	2778.24i	−0.241721	+	0.583566i	0.755733	+	0.654880i	$0.227281\pi$
$284$	−5712.72	−	1424.16i	−1.19362	−	0.297564i
$285$	6430.82	−	2663.73i	1.33659	−	0.553634i
$286$	−3346.83	+	928.212i	−0.691966	+	0.191910i
$287$	985.737			0.202739
$288$	−2459.02	+	1566.83i	−0.503122	+	0.320577i
$289$	−1130.69			−0.230143
$290$	−5509.02	+	1527.88i	−1.11552	+	0.309379i
$291$	−7897.95	+	3271.44i	−1.59102	+	0.659021i
$292$	−668.819	+	2682.83i	−0.134040	+	0.537674i
$293$	1547.04	−	3734.89i	0.308461	−	0.744691i	−0.691294	−	0.722573i	$-0.742959\pi$
$293$	1547.04	−	3734.89i	0.308461	−	0.744691i	0.999755	−	0.0221175i	$-0.00704081\pi$
$294$	−228.012	+	178.148i	−0.0452310	+	0.0353394i
$295$	1064.89	+	1064.89i	0.210171	+	0.210171i
$296$	1961.05	−	873.223i	0.385081	−	0.171470i
$297$	−2716.43	+	2716.43i	−0.530718	+	0.530718i
$298$	51.9087	−	422.816i	0.0100906	−	0.0821915i
$299$	−1060.64	−	439.333i	−0.205146	−	0.0849743i
$300$	3486.25	−	521.131i	0.670928	−	0.100292i
$301$	−1456.11	−	3515.36i	−0.278833	−	0.673163i
$302$	7058.37	+	3993.30i	1.34491	+	0.760888i
$303$			4378.60i			0.830178i
$304$	8876.72	+	854.189i	1.67472	+	0.161155i
$305$		−	3889.09i		−	0.730126i
$306$	−1744.02	+	3082.66i	−0.325814	+	0.575895i
$307$	2115.16	+	5106.46i	0.393221	+	0.949319i	0.989234	+	0.146344i	$0.0467507\pi$
$307$	2115.16	+	5106.46i	0.393221	+	0.949319i	−0.596013	+	0.802975i	$0.703249\pi$
$308$	−6541.58	−	4840.21i	−1.21020	−	0.895443i
$309$	−1028.69	−	426.097i	−0.189386	−	0.0784461i
$310$	−4327.78	−	531.318i	−0.792907	−	0.0973446i
$311$	3571.19	−	3571.19i	0.651137	−	0.651137i	−0.302130	−	0.953267i	$-0.597698\pi$
$311$	3571.19	−	3571.19i	0.651137	−	0.651137i	0.953267	+	0.302130i	$0.0976976\pi$
$312$	−89.0536	−	3394.94i	−0.0161592	−	0.616027i
$313$	−304.665	−	304.665i	−0.0550182	−	0.0550182i	0.679062	−	0.734081i	$-0.262387\pi$
$313$	−304.665	−	304.665i	−0.0550182	−	0.0550182i	−0.734081	+	0.679062i	$0.762387\pi$
$314$	−1539.39	−	1970.27i	−0.276666	−	0.354105i
$315$	888.101	−	2144.07i	0.158853	−	0.383506i
$316$	−3192.40	−	5312.68i	−0.568311	−	0.945764i
$317$	−6782.93	+	2809.58i	−1.20179	+	0.497798i	−0.891577	−	0.452869i	$-0.850400\pi$
$317$	−6782.93	+	2809.58i	−1.20179	+	0.497798i	−0.310213	+	0.950667i	$0.600400\pi$
$318$	−2872.67	−	10357.9i	−0.506577	−	1.82655i
$319$	14270.2			2.50464
$320$	−3672.23	−	1300.03i	−0.641513	−	0.227106i
$321$	4685.89			0.814770
$322$	−718.864	−	2591.99i	−0.124412	−	0.448589i
$323$	10007.8	−	4145.39i	1.72400	−	0.714104i
$324$	−3726.80	−	6202.01i	−0.639026	−	1.06345i
$325$	−587.083	+	1417.34i	−0.100202	+	0.241908i
$326$	1797.20	+	2300.24i	0.305330	+	0.390793i
$327$	5726.10	+	5726.10i	0.968362	+	0.968362i
$328$	−1177.48	+	30.8868i	−0.198217	+	0.00519950i
$329$	−1111.01	+	1111.01i	−0.186175	+	0.186175i
$330$	7533.27	+	924.854i	1.25664	+	0.154277i
$331$	−3670.23	−	1520.26i	−0.609468	−	0.252450i	0.0565331	−	0.998401i	$-0.481995\pi$
$331$	−3670.23	−	1520.26i	−0.609468	−	0.252450i	−0.666001	+	0.745951i	$0.731995\pi$
$332$	401.918	+	297.385i	0.0664401	+	0.0491600i
$333$	−584.792	−	1411.81i	−0.0962354	−	0.232333i
$334$	−1765.11	+	3119.93i	−0.289169	+	0.511122i
$335$		−	846.186i		−	0.138006i
$336$	6139.53	−	5061.66i	0.996841	−	0.821834i
$337$		−	5082.79i		−	0.821593i	−0.911727	−	0.410797i	$-0.865251\pi$
$337$		−	5082.79i		−	0.821593i	0.911727	−	0.410797i	$-0.134749\pi$
$338$	−4122.06	−	2332.07i	−0.663345	−	0.375289i
$339$	−2091.54	−	5049.42i	−0.335094	−	0.808988i
$340$	−4679.96	+	699.570i	−0.746490	+	0.111587i
$341$	10055.3	+	4165.03i	1.59684	+	0.661434i
$342$	773.551	−	6300.85i	0.122307	−	0.996231i
$343$	−4384.12	+	4384.12i	−0.690146	+	0.690146i
$344$	1849.49	+	4153.53i	0.289878	+	0.650997i
$345$	1773.97	+	1773.97i	0.276833	+	0.276833i
$346$	−1562.31	+	1220.65i	−0.242747	+	0.189660i
$347$	−1154.04	+	2786.09i	−0.178536	+	0.431023i	−0.987660	−	0.156615i	$-0.949942\pi$
$347$	−1154.04	+	2786.09i	−0.178536	+	0.431023i	0.809124	+	0.587638i	$0.199942\pi$
$348$	−3375.28	+	13539.2i	−0.519925	+	2.08557i
$349$	−2241.53	+	928.474i	−0.343801	+	0.142407i	−0.547901	−	0.836543i	$-0.684573\pi$
$349$	−2241.53	+	928.474i	−0.343801	+	0.142407i	0.204100	+	0.978950i	$0.434573\pi$
$350$	−3463.68	+	960.620i	−0.528976	+	0.146707i
$351$	1634.83			0.248606
$352$	7965.68	+	5576.73i	1.20617	+	0.844434i
$353$	−8284.27			−1.24908			−0.624542	−	0.780991i	$-0.714715\pi$
$353$	−8284.27			−1.24908			−0.624542	+	0.780991i	$0.714715\pi$
$354$	3542.02	−	982.346i	0.531797	−	0.147489i
$355$	−5173.22	+	2142.82i	−0.773425	+	0.320363i
$356$	3854.68	+	960.957i	0.573870	+	0.143064i
$357$	3698.80	−	8929.70i	0.548351	−	1.32384i
$358$	4906.49	−	3833.49i	0.724347	−	0.565939i
$359$	1889.18	+	1889.18i	0.277736	+	0.277736i	0.832205	−	0.554469i	$-0.187078\pi$
$359$	1889.18	+	1889.18i	0.277736	+	0.277736i	−0.554469	+	0.832205i	$0.687078\pi$
$360$	−993.668	+	2588.95i	−0.145475	+	0.379026i
$361$	−8878.78	+	8878.78i	−1.29447	+	1.29447i
$362$	520.165	−	4236.94i	0.0755229	−	0.615161i
$363$	−9429.36	−	3905.77i	−1.36340	−	0.564738i
$364$	511.969	+	3424.95i	0.0737210	+	0.493177i
$365$	1006.32	+	2429.47i	0.144310	+	0.348395i
$366$	−8261.70	−	4674.08i	−1.17991	−	0.667536i
$367$		−	7429.67i		−	1.05675i	−0.849012	−	0.528373i	$-0.822802\pi$
$367$		−	7429.67i		−	1.05675i	0.849012	−	0.528373i	$-0.177198\pi$
$368$	939.910	+	3073.64i	0.133142	+	0.435393i
$369$			838.486i			0.118292i
$370$	1005.32	−	1776.96i	0.141255	−	0.249675i
$371$	4194.46	+	10126.3i	0.586969	+	1.41707i
$372$	−6330.01	+	8555.06i	−0.882247	+	1.19236i
$373$	1661.51	+	688.219i	0.230642	+	0.0955351i	0.495012	−	0.868886i	$-0.335164\pi$
$373$	1661.51	+	688.219i	0.230642	+	0.0955351i	−0.264369	+	0.964421i	$0.585164\pi$
$374$	11723.5	+	1439.29i	1.62088	+	0.198994i
$375$	6785.98	−	6785.98i	0.934471	−	0.934471i
$376$	1292.30	−	1361.92i	0.177248	−	0.186798i
$377$	−4294.13	−	4294.13i	−0.586628	−	0.586628i
$378$	2358.26	+	3018.35i	0.320889	+	0.410706i
$379$	3773.37	−	9109.72i	0.511412	−	1.23466i	−0.431651	−	0.902041i	$-0.642069\pi$
$379$	3773.37	−	9109.72i	0.511412	−	1.23466i	0.943062	−	0.332616i	$-0.107931\pi$
$380$	7269.79	−	4368.43i	0.981401	−	0.589726i
$381$	−1137.69	+	471.245i	−0.152980	+	0.0633664i
$382$	−589.395	−	2125.17i	−0.0789427	−	0.284641i
$383$	−13137.5			−1.75273			−0.876366	−	0.481646i	$-0.840039\pi$
$383$	−13137.5			−1.75273			−0.876366	+	0.481646i	$0.840039\pi$
$384$	−7175.16	+	6238.60i	−0.953530	+	0.829069i
$385$	−7739.35			−1.02450
$386$	3156.02	+	11379.6i	0.416158	+	1.50053i
$387$	2990.23	−	1238.59i	0.392770	−	0.162691i
$388$	−8928.33	+	5365.05i	−1.16821	+	0.701982i
$389$	1767.36	−	4266.78i	0.230357	−	0.556130i	−0.765863	−	0.643004i	$-0.777688\pi$
$389$	1767.36	−	4266.78i	0.230357	−	0.556130i	0.996219	+	0.0868742i	$0.0276878\pi$
$390$	−1988.57	−	2545.18i	−0.258193	−	0.330462i
$391$	2760.71	+	2760.71i	0.357072	+	0.357072i
$392$	−242.681	+	255.755i	−0.0312684	+	0.0329530i
$393$	−5031.47	+	5031.47i	−0.645812	+	0.645812i
$394$	13156.4	+	1615.20i	1.68225	+	0.206529i
$395$	−5446.04	−	2255.83i	−0.693722	−	0.287349i
$396$	4117.17	−	5564.39i	0.522464	−	0.706114i
$397$	−5649.54	−	13639.2i	−0.714212	−	1.72426i	−0.689197	−	0.724574i	$-0.742037\pi$
$397$	−5649.54	−	13639.2i	−0.714212	−	1.72426i	−0.0250151	−	0.999687i	$-0.507963\pi$
$398$	2627.19	−	4643.71i	0.330877	−	0.584845i
$399$			17323.9i			2.17363i
$400$	4107.32	−	1256.01i	0.513415	−	0.157001i
$401$			5422.25i			0.675247i	0.941281	+	0.337624i	$0.109623\pi$
$401$			5422.25i			0.675247i	−0.941281	+	0.337624i	$0.890377\pi$
$402$	−1797.58	−	1016.99i	−0.223023	−	0.126176i
$403$	−1772.46	−	4279.11i	−0.219089	−	0.528927i
$404$	788.748	+	5276.55i	0.0971329	+	0.649797i
$405$	−6357.70	−	2633.45i	−0.780042	−	0.323104i
$406$	1733.81	−	14122.5i	0.211939	−	1.72632i
$407$	−3603.53	+	3603.53i	−0.438871	+	0.438871i
$408$	−4138.48	+	10782.6i	−0.502169	+	1.30837i
$409$	−2622.89	−	2622.89i	−0.317099	−	0.317099i	0.530553	−	0.847652i	$-0.321984\pi$
$409$	−2622.89	−	2622.89i	−0.317099	−	0.317099i	−0.847652	+	0.530553i	$0.821984\pi$
$410$	−882.753	+	689.703i	−0.106332	+	0.0830781i
$411$	4524.68	−	10923.5i	0.543031	−	1.31099i
$412$	−1316.41	−	328.175i	−0.157414	−	0.0392427i
$413$	−3462.82	+	1434.35i	−0.412577	+	0.170895i
$414$	2204.79	−	611.479i	0.261738	−	0.0725907i
$415$	475.509			0.0562454
$416$	−718.871	−	4075.12i	−0.0847248	−	0.480286i
$417$	15131.4			1.77695
$418$	−20400.4	+	5657.86i	−2.38712	+	0.662045i
$419$	−1293.33	+	535.717i	−0.150796	+	0.0624617i	−0.456805	−	0.889567i	$-0.651006\pi$
$419$	−1293.33	+	535.717i	−0.150796	+	0.0624617i	0.306009	+	0.952029i	$0.401006\pi$
$420$	1830.56	−	7342.90i	0.212671	−	0.853088i
$421$	−871.790	+	2104.69i	−0.100923	+	0.243649i	−0.966274	−	0.257517i	$-0.917096\pi$
$421$	−871.790	+	2104.69i	−0.100923	+	0.243649i	0.865351	+	0.501166i	$0.167096\pi$
$422$	−6830.72	+	5336.91i	−0.787949	+	0.615632i
$423$	−945.041	−	945.041i	−0.108628	−	0.108628i
$424$	−5327.64	−	11964.6i	−0.610219	−	1.37041i
$425$	3689.15	−	3689.15i	0.421059	−	0.421059i
$426$	−1665.36	+	13565.0i	−0.189406	+	1.54278i
$427$	8942.46	+	3704.09i	1.01348	+	0.419797i
$428$	5646.86	−	844.104i	0.637737	−	0.0953301i
$429$	3085.29	+	7448.55i	0.347224	+	0.838274i
$430$	3763.62	+	2129.28i	0.422088	+	0.238798i
$431$			5681.29i			0.634938i	0.948269	+	0.317469i	$0.102833\pi$
$431$			5681.29i			0.634938i	−0.948269	+	0.317469i	$0.897167\pi$
$432$	−2911.56	−	3531.57i	−0.324265	−	0.393316i
$433$			9616.41i			1.06729i	0.845710	+	0.533643i	$0.179178\pi$
$433$			9616.41i			1.06729i	−0.845710	+	0.533643i	$0.820822\pi$
$434$	5343.60	−	9445.12i	0.591017	−	1.04466i
$435$	5078.51	+	12260.6i	0.559761	+	1.35138i
$436$	7931.88	+	5868.91i	0.871257	+	0.644656i
$437$	−6465.09	−	2677.93i	−0.707705	−	0.293141i
$438$	6370.44	+	782.094i	0.694957	+	0.0853193i
$439$	10175.7	−	10175.7i	1.10629	−	1.10629i	0.112657	−	0.993634i	$-0.464064\pi$
$439$	10175.7	−	10175.7i	1.10629	−	1.10629i	0.993634	−	0.112657i	$-0.0359361\pi$
$440$	9244.77	−	242.502i	1.00165	−	0.0262747i
$441$	177.469	+	177.469i	0.0191630	+	0.0191630i
$442$	−3094.68	−	3960.89i	−0.333029	−	0.426245i
$443$	925.474	−	2234.29i	0.0992564	−	0.239626i	−0.866449	−	0.499265i	$-0.833603\pi$
$443$	925.474	−	2234.29i	0.0992564	−	0.239626i	0.965706	+	0.259639i	$0.0836035\pi$
$444$	−2566.61	−	4271.27i	−0.274338	−	0.456544i
$445$	3490.65	−	1445.88i	0.371849	−	0.154025i
$446$	1861.14	+	6710.65i	0.197595	+	0.712463i
$447$	−988.852			−0.104633
$448$	6486.81	−	7205.64i	0.684091	−	0.759899i
$449$	8501.56			0.893571			0.446785	−	0.894641i	$-0.352569\pi$
$449$	8501.56			0.893571			0.446785	+	0.894641i	$0.352569\pi$
$450$	−817.121	−	2946.27i	−0.0855988	−	0.308641i
$451$	2583.41	−	1070.08i	0.269729	−	0.111726i
$452$	−3430.05	−	5708.18i	−0.356938	−	0.594005i
$453$	7204.03	−	17392.1i	0.747185	−	1.80386i
$454$	−5489.09	−	7025.49i	−0.567435	−	0.726262i
$455$	2328.89	+	2328.89i	0.239956	+	0.239956i
$456$	−542.821	−	20693.6i	−0.0557454	−	2.12515i
$457$	7829.53	−	7829.53i	0.801422	−	0.801422i	−0.181895	−	0.983318i	$-0.558223\pi$
$457$	7829.53	−	7829.53i	0.801422	−	0.801422i	0.983318	+	0.181895i	$0.0582232\pi$
$458$	4241.74	+	520.755i	0.432759	+	0.0531295i
$459$	−5136.53	−	2127.62i	−0.522337	−	0.216359i
$460$	2457.33	+	1818.21i	0.249073	+	0.184293i
$461$	4138.96	+	9992.34i	0.418158	+	1.00952i	0.982881	+	0.184241i	$0.0589828\pi$
$461$	4138.96	+	9992.34i	0.418158	+	1.00952i	−0.564723	+	0.825280i	$0.691017\pi$
$462$	−9301.50	+	16440.9i	−0.936678	+	1.65563i
$463$		−	13379.7i		−	1.34300i	−0.741004	−	0.671501i	$-0.765650\pi$
$463$		−	13379.7i		−	1.34300i	0.741004	−	0.671501i	$-0.234350\pi$
$464$	−1628.55	+	16923.8i	−0.162938	+	1.69325i
$465$			10121.5i			1.00940i
$466$	−10575.1	−	5982.90i	−1.05125	−	0.594748i
$467$	2256.68	+	5448.12i	0.223612	+	0.539848i	0.995375	−	0.0960626i	$-0.0306249\pi$
$467$	2256.68	+	5448.12i	0.223612	+	0.539848i	−0.771763	+	0.635910i	$0.780625\pi$
$468$	−2913.33	+	435.490i	−0.287753	+	0.0430139i
$469$	1945.70	+	805.934i	0.191565	+	0.0793488i
$470$	217.582	−	1772.29i	0.0213539	−	0.173935i
$471$	−4104.08	+	4104.08i	−0.401499	+	0.401499i
$472$	4091.45	−	1821.85i	0.398992	−	0.177664i
$473$	−7632.31	−	7632.31i	−0.741932	−	0.741932i
$474$	−11337.4	+	8858.04i	−1.09862	+	0.858362i
$475$	−3578.53	+	8639.33i	−0.345672	+	0.834525i
$476$	2848.77	−	11427.3i	0.274313	−	1.10035i
$477$	−8613.63	+	3567.88i	−0.826816	+	0.342478i
$478$	−185.832	+	51.5387i	−0.0177819	+	0.00493164i
$479$	−15500.6			−1.47858			−0.739289	−	0.673389i	$-0.764838\pi$
$479$	−15500.6			−1.47858			−0.739289	+	0.673389i	$0.764838\pi$
$480$	−1956.55	+	8828.57i	−0.186049	+	0.839515i
$481$	2168.71			0.205582
$482$	16667.3	−	4622.52i	1.57505	−	0.436825i
$483$	−5768.61	+	2389.44i	−0.543438	+	0.225100i
$484$	−12066.7	−	3008.17i	−1.13323	−	0.282511i
$485$	−3791.07	+	9152.46i	−0.354936	+	0.856891i
$486$	−8931.62	+	6978.36i	−0.833635	+	0.651327i
$487$	−3384.07	−	3384.07i	−0.314880	−	0.314880i	0.531917	−	0.846797i	$-0.321472\pi$
$487$	−3384.07	−	3384.07i	−0.314880	−	0.314880i	−0.846797	+	0.531917i	$0.821472\pi$
$488$	−10798.0	−	4144.39i	−1.00164	−	0.384442i
$489$	4791.40	−	4791.40i	0.443098	−	0.443098i
$490$	−40.8597	+	332.817i	−0.00376704	+	0.0306839i
$491$	−5913.07	−	2449.27i	−0.543489	−	0.225121i	0.0940105	−	0.995571i	$-0.470031\pi$
$491$	−5913.07	−	2449.27i	−0.543489	−	0.225121i	−0.637500	+	0.770451i	$0.720031\pi$
$492$	404.225	+	2704.18i	0.0370404	+	0.247792i
$493$	7903.35	+	19080.4i	0.722006	+	1.74308i
$494$	7841.32	+	4436.25i	0.714165	+	0.404041i
$495$		−	6583.23i		−	0.597766i
$496$	−6087.07	+	11449.8i	−0.551043	+	1.03651i
$497$		−	13936.0i		−	1.25778i
$498$	571.489	−	1010.14i	0.0514237	−	0.0908944i
$499$	−5163.06	−	12464.7i	−0.463187	−	1.11823i	−0.967081	−	0.254467i	$-0.918100\pi$
$499$	−5163.06	−	12464.7i	−0.463187	−	1.11823i	0.503894	−	0.863765i	$-0.331900\pi$
$500$	6955.22	−	9400.03i	0.622094	−	0.840765i
$501$	7687.60	+	3184.31i	0.685542	+	0.283961i
$502$	−1348.02	−	165.495i	−0.119851	−	0.0147140i
$503$	6921.39	−	6921.39i	0.613537	−	0.613537i	−0.330329	−	0.943866i	$-0.607160\pi$
$503$	6921.39	−	6921.39i	0.613537	−	0.613537i	0.943866	+	0.330329i	$0.107160\pi$
$504$	−5006.55	−	4750.61i	−0.442479	−	0.419859i
$505$	3587.93	+	3587.93i	0.316160	+	0.316160i
$506$	−4697.76	−	6012.67i	−0.412729	−	0.528253i
$507$	−4207.12	+	10156.9i	−0.368530	+	0.889710i
$508$	−1286.11	+	772.826i	−0.112327	+	0.0674973i
$509$	14532.1	−	6019.39i	1.26547	−	0.524174i	0.353885	−	0.935289i	$-0.384860\pi$
$509$	14532.1	−	6019.39i	1.26547	−	0.524174i	0.911584	+	0.411115i	$0.134860\pi$
$510$	2935.59	+	10584.8i	0.254882	+	0.919022i
$511$	−6544.71			−0.566577
$512$	−7522.81	+	8810.51i	−0.649345	+	0.760494i
$513$	9965.00			0.857633
$514$	19.7559	+	71.2332i	0.00169532	+	0.00611277i
$515$	−1192.09	+	493.779i	−0.101999	+	0.0422495i
$516$	9046.59	−	5436.11i	0.771810	−	0.463782i
$517$	−1705.64	+	4117.78i	−0.145095	+	0.350290i
$518$	3128.40	+	4004.04i	0.265355	+	0.339629i
$519$	3254.29	+	3254.29i	0.275236	+	0.275236i
$520$	−2854.86	−	2708.92i	−0.240758	−	0.228450i
$521$	−6505.72	+	6505.72i	−0.547065	+	0.547065i	−0.925591	−	0.378526i	$-0.876431\pi$
$521$	−6505.72	+	6505.72i	−0.547065	+	0.547065i	0.378526	+	0.925591i	$0.376431\pi$
$522$	12012.8	+	1474.81i	1.00726	+	0.123660i
$523$	18929.1	+	7840.67i	1.58262	+	0.655543i	0.988826	−	0.149075i	$-0.0476295\pi$
$523$	18929.1	+	7840.67i	1.58262	+	0.655543i	0.593794	+	0.804617i	$0.297630\pi$
$524$	−5156.95	+	6969.66i	−0.429929	+	0.581052i
$525$	3193.01	+	7708.61i	0.265437	+	0.640822i
$526$	−4736.95	+	8372.83i	−0.392664	+	0.694055i
$527$			15751.4i			1.30198i
$528$	10595.6	−	19930.4i	0.873325	−	1.64273i
$529$			9644.85i			0.792706i
$530$	−10841.5	−	6133.59i	−0.888534	−	0.502691i
$531$	−1220.08	−	2945.54i	−0.0997119	−	0.240726i
$532$	3120.67	+	20876.6i	0.254320	+	1.70134i
$533$	−1099.39	−	455.382i	−0.0893431	−	0.0370071i
$534$	1123.71	−	9153.02i	0.0910630	−	0.741742i
$535$	3839.73	−	3839.73i	0.310292	−	0.310292i
$536$	−2349.42	−	901.735i	−0.189327	−	0.0726660i
$537$	−10220.2	−	10220.2i	−0.821295	−	0.821295i
$538$	18740.1	−	14641.8i	1.50175	−	1.17333i
$539$	320.301	−	773.276i	0.0255962	−	0.0617947i
$540$	−4223.77	−	1052.97i	−0.336597	−	0.0839122i
$541$	−14495.4	+	6004.19i	−1.15195	+	0.477154i	−0.875188	−	0.483783i	$-0.839262\pi$
$541$	−14495.4	+	6004.19i	−1.15195	+	0.477154i	−0.276765	+	0.960938i	$0.589262\pi$
$542$	−11173.7	+	3098.91i	−0.885516	+	0.245590i
$543$	−9909.05			−0.783127
$544$	−3044.84	+	13739.3i	−0.239975	+	1.08285i
$545$	9384.21			0.737569
$546$	7746.29	−	2148.36i	0.607162	−	0.168391i
$547$	−17281.4	+	7158.21i	−1.35082	+	0.559530i	−0.936522	−	0.350609i	$-0.885975\pi$
$547$	−17281.4	+	7158.21i	−1.35082	+	0.559530i	−0.414303	+	0.910139i	$0.635975\pi$
$548$	3484.85	−	13978.8i	0.271652	−	1.08968i
$549$	−3150.76	+	7606.62i	−0.244939	+	0.591334i
$550$	−8034.76	+	6277.64i	−0.622915	+	0.486690i
$551$	−26174.6	−	26174.6i	−2.02373	−	2.02373i
$552$	6815.82	−	3034.97i	0.525544	−	0.234016i
$553$	10374.0	−	10374.0i	0.797732	−	0.797732i
$554$	−23.3636	+	190.305i	−0.00179174	+	0.0145944i
$555$	−4378.49	−	1813.63i	−0.334877	−	0.138711i
$556$	18234.5	−	2725.72i	1.39085	−	0.207907i
$557$	−3341.04	−	8065.99i	−0.254155	−	0.613585i	0.744376	−	0.667761i	$-0.232747\pi$
$557$	−3341.04	−	8065.99i	−0.254155	−	0.613585i	−0.998531	+	0.0541753i	$0.982747\pi$
$558$	8034.20	+	4545.37i	0.609524	+	0.344840i
$559$			4593.35i			0.347546i
$560$	883.230	−	9178.51i	0.0666487	−	0.692613i
$561$		−	27418.1i		−	2.06345i
$562$	731.751	−	1293.41i	0.0549236	−	0.0970805i
$563$	4945.85	+	11940.3i	0.370236	+	0.893828i	0.993710	+	0.111984i	$0.0357206\pi$
$563$	4945.85	+	11940.3i	0.370236	+	0.893828i	−0.623474	+	0.781844i	$0.714279\pi$
$564$	−3503.42	−	2592.23i	−0.261561	−	0.193533i
$565$	−5851.47	−	2423.76i	−0.435705	−	0.180475i
$566$	8442.11	+	1036.43i	0.626940	+	0.0769690i
$567$	12110.6	−	12110.6i	0.896994	−	0.896994i
$568$	436.668	+	16646.8i	0.0322573	+	1.22973i
$569$	−8205.09	−	8205.09i	−0.604526	−	0.604526i	0.336984	−	0.941510i	$-0.390593\pi$
$569$	−8205.09	−	8205.09i	−0.604526	−	0.604526i	−0.941510	+	0.336984i	$0.890593\pi$
$570$	−12121.2	−	15514.0i	−0.890705	−	1.14001i
$571$	4078.90	−	9847.33i	0.298943	−	0.721712i	−0.701020	−	0.713141i	$-0.747272\pi$
$571$	4078.90	−	9847.33i	0.298943	−	0.721712i	0.999963	−	0.00857103i	$-0.00272828\pi$
$572$	5059.77	+	8420.30i	0.369860	+	0.615508i
$573$	−4729.67	+	1959.09i	−0.344825	+	0.142831i
$574$	−745.124	−	2686.67i	−0.0541827	−	0.195365i
$575$	−3370.35			−0.244441
$576$	6129.25	+	5517.80i	0.443378	+	0.399146i
$577$	−4675.49			−0.337337			−0.168668	−	0.985673i	$-0.553947\pi$
$577$	−4675.49			−0.337337			−0.168668	+	0.985673i	$0.553947\pi$
$578$	854.696	+	3081.75i	0.0615063	+	0.221772i
$579$	25325.8	−	10490.3i	1.81780	−	0.752958i
$580$	8328.59	+	13860.2i	0.596252	+	0.992261i
$581$	−452.890	+	1093.37i	−0.0323391	+	0.0780736i
$582$	14886.6	+	19053.3i	1.06025	+	1.35702i
$583$	21985.6	+	21985.6i	1.56183	+	1.56183i
$584$	7817.75	−	205.070i	0.553940	−	0.0145306i
$585$	−1980.99	+	1980.99i	−0.140007	+	0.140007i
$586$	−11349.0	−	1393.31i	−0.800041	−	0.0982204i
$587$	3400.03	+	1408.34i	0.239070	+	0.0990260i	0.499002	−	0.866601i	$-0.333700\pi$
$587$	3400.03	+	1408.34i	0.239070	+	0.0990260i	−0.259932	+	0.965627i	$0.583700\pi$
$588$	657.906	+	486.794i	0.0461421	+	0.0341412i
$589$	−10803.9	−	26083.0i	−0.755804	−	1.82467i
$590$	2097.46	−	3707.37i	0.146357	−	0.258695i
$591$		−	30769.2i		−	2.14158i
$592$	−3862.38	−	4684.87i	−0.268147	−	0.325248i
$593$			15975.1i			1.10627i	0.833090	+	0.553137i	$0.186569\pi$
$593$			15975.1i			1.10627i	−0.833090	+	0.553137i	$0.813431\pi$
$594$	9457.13	+	5350.40i	0.653250	+	0.369578i
$595$	−4286.32	−	10348.1i	−0.295331	−	0.712993i
$596$	−1191.64	+	178.129i	−0.0818986	+	0.0122424i
$597$	−11442.3	−	4739.54i	−0.784422	−	0.324918i
$598$	−395.677	+	3222.93i	−0.0270576	+	0.220394i
$599$	−14655.9	+	14655.9i	−0.999707	+	0.999707i	−1.00000		0.000292806i	$-0.999907\pi$
$599$	−14655.9	+	14655.9i	−0.999707	+	0.999707i	0.000292806		1.00000i	$0.499907\pi$
$600$	−4055.64	−	9108.00i	−0.275951	−	0.619721i
$601$	12665.9	+	12665.9i	0.859656	+	0.859656i	0.991297	−	0.131641i	$-0.0420247\pi$
$601$	12665.9	+	12665.9i	0.859656	+	0.859656i	−0.131641	+	0.991297i	$0.542025\pi$
$602$	−8480.60	+	6625.98i	−0.574158	+	0.448596i
$603$	−685.542	+	1655.05i	−0.0462976	+	0.111772i
$604$	5548.45	−	22256.5i	0.373780	−	1.49934i
$605$	−10927.1	+	4526.16i	−0.734299	+	0.304156i
$606$	11934.1	−	3309.81i	0.799981	−	0.221867i
$607$	18257.0			1.22080			0.610402	−	0.792092i	$-0.291008\pi$
$607$	18257.0			1.22080			0.610402	+	0.792092i	$0.291008\pi$
$608$	−4381.83	−	24839.6i	−0.292281	−	1.65687i
$609$	−33028.7			−2.19768
$610$	−10599.9	+	2939.78i	−0.703569	+	0.195128i
$611$	1752.35	−	725.849i	0.116027	−	0.0480601i
$612$	9720.25	+	2423.22i	0.642022	+	0.160054i
$613$	−2056.78	+	4965.49i	−0.135518	+	0.327169i	−0.977041	−	0.213053i	$-0.931659\pi$
$613$	−2056.78	+	4965.49i	−0.135518	+	0.327169i	0.841523	+	0.540221i	$0.181659\pi$
$614$	12319.0	−	9624.98i	0.809700	−	0.632626i
$615$	1838.77	+	1838.77i	0.120564	+	0.120564i
$616$	−8247.40	+	21488.1i	−0.539444	+	1.40549i
$617$	2198.69	−	2198.69i	0.143462	−	0.143462i	−0.631728	−	0.775190i	$-0.717654\pi$
$617$	2198.69	−	2198.69i	0.143462	−	0.143462i	0.775190	+	0.631728i	$0.217654\pi$
$618$	−383.756	+	3125.83i	−0.0249789	+	0.203462i
$619$	14373.8	+	5953.83i	0.933331	+	0.386598i	0.796941	−	0.604057i	$-0.206450\pi$
$619$	14373.8	+	5953.83i	0.933331	+	0.386598i	0.136390	+	0.990655i	$0.456450\pi$
$620$	1823.26	+	12197.2i	0.118103	+	0.790082i
$621$	1374.45	+	3318.21i	0.0888159	+	0.214421i
$622$	−12432.9	−	7033.97i	−0.801471	−	0.453435i
$623$			9403.41i			0.604719i
$624$	−9185.74	+	2808.97i	−0.589301	+	0.180206i
$625$		−	2732.38i		−	0.174872i
$626$	−600.081	+	1060.68i	−0.0383132	+	0.0677207i
$627$	18806.2	+	45402.2i	1.19784	+	2.89185i
$628$	−4206.43	+	5685.03i	−0.267285	+	0.361238i
$629$	−6813.96	−	2822.43i	−0.431940	−	0.178915i
$630$	−6515.07	−	799.850i	−0.412011	−	0.0505822i
$631$	−21029.2	+	21029.2i	−1.32672	+	1.32672i	−0.418502	+	0.908216i	$0.637445\pi$
$631$	−21029.2	+	21029.2i	−1.32672	+	1.32672i	−0.908216	+	0.418502i	$0.862555\pi$
$632$	−12066.8	+	12716.9i	−0.759481	+	0.800398i
$633$	14228.4	+	14228.4i	0.893410	+	0.893410i
$634$	12784.9	+	16363.4i	0.800873	+	1.02504i
$635$	−546.098	+	1318.40i	−0.0341279	+	0.0823921i
$636$	−26059.5	+	15659.2i	−1.62473	+	0.976302i
$637$	−329.074	+	136.307i	−0.0204684	+	0.00847830i
$638$	−10786.9	−	38894.2i	−0.669372	−	2.41353i
$639$	11854.3			0.733876
$640$	−767.435	+	10991.6i	−0.0473993	+	0.678874i
$641$	22576.4			1.39113			0.695564	−	0.718464i	$-0.255155\pi$
$641$	22576.4			1.39113			0.695564	+	0.718464i	$0.255155\pi$
$642$	−3542.09	−	12771.6i	−0.217750	−	0.785133i
$643$	15365.6	−	6364.66i	0.942398	−	0.390354i	0.142029	−	0.989862i	$-0.454637\pi$
$643$	15365.6	−	6364.66i	0.942398	−	0.390354i	0.800368	+	0.599509i	$0.204637\pi$
$644$	−6521.19	+	3918.59i	−0.399023	+	0.239774i
$645$	3841.29	−	9273.69i	0.234497	−	0.566126i
$646$	−18863.4	−	24143.3i	−1.14887	−	1.47044i
$647$	−2866.06	−	2866.06i	−0.174152	−	0.174152i	0.614649	−	0.788801i	$-0.289298\pi$
$647$	−2866.06	−	2866.06i	−0.174152	−	0.174152i	−0.788801	+	0.614649i	$0.789298\pi$
$648$	−14086.8	+	14845.7i	−0.853982	+	0.899991i
$649$	−7518.24	+	7518.24i	−0.454725	+	0.454725i
$650$	4306.81	+	528.744i	0.259888	+	0.0319062i
$651$	−23273.1	−	9640.03i	−1.40114	−	0.580373i
$652$	4910.90	−	6637.12i	0.294978	−	0.398665i
$653$	−1656.18	−	3998.36i	−0.0992514	−	0.239614i	0.866453	−	0.499259i	$-0.166394\pi$
$653$	−1656.18	−	3998.36i	−0.0992514	−	0.239614i	−0.965704	+	0.259645i	$0.916394\pi$
$654$	11278.4	−	19935.2i	0.674341	−	1.19194i
$655$			8245.81i			0.491894i
$656$	974.245	+	3185.92i	0.0579846	+	0.189618i
$657$		−	5567.05i		−	0.330580i
$658$	3867.91	+	2188.28i	0.229159	+	0.129648i
$659$	−7707.07	−	18606.5i	−0.455576	−	1.09986i	−0.970170	−	0.242424i	$-0.922057\pi$
$659$	−7707.07	−	18606.5i	−0.455576	−	1.09986i	0.514594	−	0.857434i	$-0.327943\pi$
$660$	−3173.71	−	21231.4i	−0.187176	−	1.25217i
$661$	25591.1	+	10600.2i	1.50587	+	0.623751i	0.974700	−	0.223515i	$-0.0717533\pi$
$661$	25591.1	+	10600.2i	1.50587	+	0.623751i	0.531168	+	0.847267i	$0.321753\pi$
$662$	−1369.19	+	11152.5i	−0.0803853	+	0.654767i
$663$	−8250.53	+	8250.53i	−0.483294	+	0.483294i
$664$	506.724	−	1320.24i	0.0296155	−	0.0771616i
$665$	14195.6	+	14195.6i	0.827791	+	0.827791i
$666$	−3405.91	+	2661.07i	−0.198163	+	0.154827i
$667$	5105.58	−	12326.0i	0.296385	−	0.715537i
$668$	9837.76	+	2452.51i	0.569812	+	0.142052i
$669$	14934.9	−	6186.24i	0.863105	−	0.357510i
$670$	−2306.32	+	639.637i	−0.132986	+	0.0368826i
$671$	27457.3			1.57970
$672$	−18436.7	−	12907.4i	−1.05835	−	0.740945i
$673$	−32715.5			−1.87383			−0.936917	−	0.349553i	$-0.886333\pi$
$673$	−32715.5			−1.87383			−0.936917	+	0.349553i	$0.886333\pi$
$674$	−13853.4	+	3842.11i	−0.791709	+	0.219573i
$675$	4434.14	−	1836.68i	0.252844	−	0.104732i
$676$	−3240.27	+	12997.7i	−0.184358	+	0.739513i
$677$	−249.757	+	602.967i	−0.0141786	+	0.0342303i	−0.930810	−	0.365503i	$-0.880897\pi$
$677$	−249.757	+	602.967i	−0.0141786	+	0.0342303i	0.916632	+	0.399733i	$0.130897\pi$
$678$	−12181.4	+	9517.47i	−0.690007	+	0.539110i
$679$	−17434.2	−	17434.2i	−0.985365	−	0.985365i
$680$	5444.32	+	12226.7i	0.307030	+	0.689516i
$681$	−14634.1	+	14634.1i	−0.823466	+	0.823466i
$682$	3751.15	−	30554.5i	0.210614	−	1.71553i
$683$	−1024.16	−	424.220i	−0.0573767	−	0.0237662i	0.353811	−	0.935317i	$-0.384886\pi$
$683$	−1024.16	−	424.220i	−0.0573767	−	0.0237662i	−0.411187	+	0.911551i	$0.634886\pi$
$684$	−17758.0	+	2654.50i	−0.992682	+	0.148388i
$685$	−5243.38	−	12658.6i	−0.292466	−	0.706075i
$686$	15263.1	+	8635.14i	0.849486	+	0.480599i
$687$		−	9920.29i		−	0.550921i
$688$	9922.59	−	8180.56i	0.549847	−	0.453315i
$689$		−	13231.6i		−	0.731615i
$690$	3494.09	−	6176.00i	0.192779	−	0.340748i
$691$	−6429.36	−	15521.9i	−0.353957	−	0.854528i	−0.996124	−	0.0879632i	$-0.971964\pi$
$691$	−6429.36	−	15521.9i	−0.353957	−	0.854528i	0.642166	−	0.766565i	$-0.278036\pi$
$692$	4507.89	+	3335.45i	0.247636	+	0.183230i
$693$	15137.3	+	6270.08i	0.829753	+	0.343695i
$694$	8465.96	+	1039.36i	0.463060	+	0.0568495i
$695$	12399.0	−	12399.0i	0.676721	−	0.676721i
$696$	39453.2	−	1034.91i	2.14866	−	0.0563623i
$697$	2861.56	+	2861.56i	0.155508	+	0.155508i
$698$	4224.99	+	5407.57i	0.229109	+	0.293237i
$699$	−10793.3	+	26057.4i	−0.584037	+	1.40999i
$700$	5236.43	+	8714.29i	0.282741	+	0.470527i
$701$	20337.8	−	8424.21i	1.09579	−	0.453892i	0.239769	−	0.970830i	$-0.422928\pi$
$701$	20337.8	−	8424.21i	1.09579	−	0.453892i	0.856023	+	0.516938i	$0.172928\pi$
$702$	−1235.78	−	4455.81i	−0.0664407	−	0.239564i
$703$	13219.3			0.709209
$704$	9178.35	−	25926.3i	0.491366	−	1.38798i
$705$	−4144.90			−0.221427
$706$	6262.12	+	22579.2i	0.333822	+	1.20365i
$707$	−11667.2	+	4832.72i	−0.620638	+	0.257077i
$708$	−5354.86	−	8911.37i	−0.284249	−	0.473037i
$709$	−11697.5	+	28240.4i	−0.619620	+	1.49589i	0.232527	+	0.972590i	$0.425301\pi$
$709$	−11697.5	+	28240.4i	−0.619620	+	1.49589i	−0.852146	+	0.523304i	$0.824699\pi$
$710$	9750.81	+	12480.1i	0.515411	+	0.659675i
$711$	8824.29	+	8824.29i	0.465452	+	0.465452i
$712$	−294.644	−	11232.5i	−0.0155088	−	0.591231i
$713$	7195.13	−	7195.13i	0.377924	−	0.377924i
$714$	−27134.3	−	3331.25i	−1.42223	−	0.174606i
$715$	8631.68	+	3575.36i	0.451478	+	0.187008i
$716$	−14157.2	−	10475.1i	−0.738938	−	0.546751i
$717$	171.310	+	413.578i	0.00892284	+	0.0215416i
$718$	3721.01	−	6577.10i	0.193408	−	0.341860i
$719$		−	2930.75i		−	0.152015i	−0.997107	−	0.0760074i	$-0.975783\pi$
$719$		−	2930.75i		−	0.152015i	0.997107	−	0.0760074i	$-0.0242173\pi$
$720$	7807.41	+	751.292i	0.404118	+	0.0388875i
$721$		−	3211.34i		−	0.165876i
$722$	30911.1	+	17488.0i	1.59334	+	0.901436i
$723$	−15364.8	−	37093.9i	−0.790350	−	1.90807i
$724$	−11941.2	+	1784.99i	−0.612969	+	0.0916278i
$725$	−16471.2	−	6822.61i	−0.843760	−	0.349497i
$726$	−3517.65	+	28652.6i	−0.179824	+	1.46473i
$727$	−11618.1	+	11618.1i	−0.592696	+	0.592696i	−0.938359	−	0.345663i	$-0.887654\pi$
$727$	−11618.1	+	11618.1i	−0.592696	+	0.592696i	0.345663	+	0.938359i	$0.387654\pi$
$728$	8947.87	−	3984.34i	0.455536	−	0.202842i
$729$	1336.91	+	1336.91i	0.0679218	+	0.0679218i
$730$	5860.95	−	4579.22i	0.297156	−	0.232171i
$731$	5977.94	−	14432.0i	0.302465	−	0.730215i
$732$	−6494.36	+	26050.8i	−0.327922	+	1.31539i
$733$	8786.76	−	3639.59i	0.442764	−	0.183399i	−0.150152	−	0.988663i	$-0.547976\pi$
$733$	8786.76	−	3639.59i	0.442764	−	0.183399i	0.592917	+	0.805264i	$0.297976\pi$
$734$	−20249.9	+	5616.13i	−1.01831	+	0.282419i
$735$	778.369			0.0390620
$736$	7666.87	−	4885.15i	0.383974	−	0.244659i
$737$	5974.15			0.298590
$738$	2285.33	−	633.816i	0.113990	−	0.0316139i
$739$	−30367.3	+	12578.6i	−1.51161	+	0.626130i	−0.975890	−	0.218265i	$-0.929960\pi$
$739$	−30367.3	+	12578.6i	−1.51161	+	0.626130i	−0.535721	+	0.844395i	$0.679960\pi$
$740$	−5603.12	−	1396.84i	−0.278345	−	0.0693901i
$741$	8003.13	−	19321.3i	0.396764	−	0.957874i
$742$	24429.1	−	19086.7i	1.20866	−	0.944334i
$743$	28118.1	+	28118.1i	1.38836	+	1.38836i	0.828765	+	0.559596i	$0.189044\pi$
$743$	28118.1	+	28118.1i	1.38836	+	1.38836i	0.559596	+	0.828765i	$0.310956\pi$
$744$	28102.1	+	10785.9i	1.38478	+	0.531494i
$745$	−810.288	+	810.288i	−0.0398479	+	0.0398479i
$746$	619.830	−	5048.74i	0.0304204	−	0.247785i
$747$	−930.043	−	385.236i	−0.0455535	−	0.0188689i
$748$	−4939.03	−	33041.0i	−0.241429	−	1.61510i
$749$	5171.89	+	12486.1i	0.252305	+	0.609119i
$750$	−23625.1	−	13365.9i	−1.15022	−	0.650741i
$751$			2199.78i			0.106886i	0.998571	+	0.0534428i	$0.0170195\pi$
$751$			2199.78i			0.106886i	−0.998571	+	0.0534428i	$0.982981\pi$
$752$	−4688.85	−	2492.74i	−0.227373	−	0.120879i
$753$			3152.65i			0.152575i
$754$	−8457.89	+	14949.8i	−0.408512	+	0.722068i
$755$	−8348.32	−	20154.6i	−0.402419	−	0.971525i
$756$	6444.02	−	8709.15i	0.310009	−	0.418980i
$757$	1609.12	+	666.518i	0.0772581	+	0.0320013i	0.420978	−	0.907071i	$-0.361687\pi$
$757$	1609.12	+	666.518i	0.0772581	+	0.0320013i	−0.343720	+	0.939072i	$0.611687\pi$
$758$	−27681.3	−	3398.41i	−1.32642	−	0.162844i
$759$	−12524.4	+	12524.4i	−0.598955	+	0.598955i
$760$	−17401.6	−	16512.0i	−0.830558	−	0.788098i
$761$	−13159.3	−	13159.3i	−0.626837	−	0.626837i	0.320434	−	0.947271i	$-0.396171\pi$
$761$	−13159.3	−	13159.3i	−0.626837	−	0.626837i	−0.947271	+	0.320434i	$0.896171\pi$
$762$	2144.38	+	2744.60i	0.101946	+	0.130481i
$763$	−8937.81	+	21577.8i	−0.424077	+	1.02381i
$764$	−5346.71	+	3212.85i	−0.253190	+	0.152142i
$765$	8802.28	−	3646.02i	0.416009	−	0.172317i
$766$	9930.73	+	35807.0i	0.468423	+	1.68898i
$767$	4524.70			0.213008
$768$	22427.3	+	14840.4i	1.05375	+	0.697276i
$769$	−13781.4			−0.646253			−0.323127	−	0.946356i	$-0.604734\pi$
$769$	−13781.4			−0.646253			−0.323127	+	0.946356i	$0.604734\pi$
$770$	5850.22	+	21094.0i	0.273801	+	0.987238i
$771$	158.533	−	65.6667i	0.00740524	−	0.00306735i
$772$	28629.9	−	17203.8i	1.33473	−	0.802042i
$773$	−904.546	+	2183.77i	−0.0420883	+	0.101610i	−0.943526	−	0.331299i	$-0.892513\pi$
$773$	−904.546	+	2183.77i	−0.0420883	+	0.101610i	0.901437	+	0.432909i	$0.142513\pi$
$774$	−5636.18	−	7213.75i	−0.261742	−	0.335004i
$775$	−9614.87	−	9614.87i	−0.445647	−	0.445647i
$776$	21371.7	+	20279.1i	0.988658	+	0.938116i
$777$	8340.43	−	8340.43i	0.385085	−	0.385085i
$778$	−12965.3	−	1591.74i	−0.597465	−	0.0733503i
$779$	−6701.26	−	2775.75i	−0.308213	−	0.127666i
$780$	−5433.83	+	7343.86i	−0.249439	+	0.337118i
$781$	−15128.5	−	36523.4i	−0.693137	−	1.67338i
$782$	5437.62	−	9611.29i	0.248656	−	0.439513i
$783$			18998.7i			0.867124i
$784$	880.517	+	468.111i	0.0401110	+	0.0213243i
$785$			6725.96i			0.305809i
$786$	17516.8	+	9910.19i	0.794917	+	0.449726i
$787$	−7363.51	−	17777.1i	−0.333521	−	0.805190i	−0.998307	−	0.0581569i	$-0.981478\pi$
$787$	−7363.51	−	17777.1i	−0.333521	−	0.805190i	0.664787	−	0.747033i	$-0.268522\pi$
$788$	−5542.68	−	37079.2i	−0.250571	−	1.67626i
$789$	20630.9	+	8545.61i	0.930901	+	0.385592i
$790$	−2031.66	+	16548.6i	−0.0914979	+	0.745284i
$791$	11146.2	−	11146.2i	0.501030	−	0.501030i
$792$	−18278.2	−	7015.39i	−0.820060	−	0.314749i
$793$	−8262.32	−	8262.32i	−0.369992	−	0.369992i
$794$	−32903.8	+	25708.0i	−1.47067	+	1.14905i
$795$	−11065.2	+	26713.7i	−0.493637	+	1.19175i
$796$	−14642.6	−	3650.33i	−0.652000	−	0.162541i
$797$	−2646.36	+	1096.16i	−0.117615	+	0.0487177i	−0.440715	−	0.897647i	$-0.645275\pi$
$797$	−2646.36	+	1096.16i	−0.117615	+	0.0487177i	0.323100	+	0.946365i	$0.395275\pi$
$798$	47217.0	−	13095.2i	2.09457	−	0.580909i
$799$	−6450.42			−0.285607
$800$	−6528.05	−	10245.3i	−0.288502	−	0.452781i
$801$	−7998.71			−0.352835
$802$	14778.6	−	4098.71i	0.650686	−	0.180462i
$803$	−17152.3	+	7104.71i	−0.753787	+	0.312229i
$804$	−1413.04	+	5668.13i	−0.0619827	+	0.248631i
$805$	−2768.97	+	6684.89i	−0.121234	+	0.292685i
$806$	−10323.1	+	8065.53i	−0.451136	+	0.352477i
$807$	−39035.6	−	39035.6i	−1.70275	−	1.70275i
$808$	13785.3	−	6138.34i	0.600202	−	0.267260i
$809$	−25414.2	+	25414.2i	−1.10447	+	1.10447i	−0.110607	+	0.993864i	$0.535280\pi$
$809$	−25414.2	+	25414.2i	−1.10447	+	1.10447i	−0.993864	+	0.110607i	$0.964720\pi$
$810$	−2371.76	+	19318.9i	−0.102883	+	0.838019i
$811$	3623.77	+	1501.01i	0.156902	+	0.0649910i	0.459752	−	0.888047i	$-0.347938\pi$
$811$	3623.77	+	1501.01i	0.156902	+	0.0649910i	−0.302850	+	0.953038i	$0.597938\pi$
$812$	−39802.1	+	5949.69i	−1.72017	+	0.257134i
$813$	10300.5	+	24867.6i	0.444347	+	1.07275i
$814$	12545.5	+	7097.67i	0.540197	+	0.305618i
$815$		−	7852.38i		−	0.337493i
$816$	32516.7	+	3129.02i	1.39499	+	0.134237i
$817$			27998.5i			1.19895i
$818$	−5166.14	+	9131.45i	−0.220819	+	0.390310i
$819$	−2668.28	−	6441.80i	−0.113843	−	0.274841i
$820$	2547.10	+	1884.63i	0.108474	+	0.0802613i
$821$	−12700.5	−	5260.71i	−0.539890	−	0.223630i	0.0960388	−	0.995378i	$-0.469383\pi$
$821$	−12700.5	−	5260.71i	−0.539890	−	0.223630i	−0.635929	+	0.771748i	$0.719383\pi$
$822$	−33192.8	−	4075.06i	−1.40843	−	0.172912i
$823$	12604.5	−	12604.5i	0.533857	−	0.533857i	−0.387861	−	0.921718i	$-0.626786\pi$
$823$	12604.5	−	12604.5i	0.533857	−	0.533857i	0.921718	+	0.387861i	$0.126786\pi$
$824$	100.623	+	3836.00i	0.00425410	+	0.162176i
$825$	16736.4	+	16736.4i	0.706287	+	0.706287i
$826$	6526.94	+	8353.84i	0.274941	+	0.351898i
$827$	−759.345	+	1833.22i	−0.0319287	+	0.0770826i	−0.939040	−	0.343809i	$-0.888283\pi$
$827$	−759.345	+	1833.22i	−0.0319287	+	0.0770826i	0.907111	+	0.420892i	$0.138283\pi$
$828$	−3333.23	−	5547.04i	−0.139901	−	0.232818i
$829$	33918.6	−	14049.5i	1.42104	−	0.588614i	0.465918	−	0.884828i	$-0.345724\pi$
$829$	33918.6	−	14049.5i	1.42104	−	0.588614i	0.955122	+	0.296214i	$0.0957241\pi$
$830$	−359.440	−	1296.02i	−0.0150317	−	0.0541995i
$831$	445.072			0.0185793
$832$	−10563.5	+	5039.72i	−0.440173	+	0.210001i
$833$	1211.32			0.0503840
$834$	−11437.9	−	41241.3i	−0.474894	−	1.71231i
$835$	8908.70	−	3690.10i	0.369219	−	0.152936i
$836$	30841.5	+	51325.4i	1.27593	+	2.12336i
$837$	−5545.12	+	13387.1i	−0.228993	+	0.552839i
$838$	2437.76	+	3120.09i	0.100490	+	0.128618i
$839$	23682.3	+	23682.3i	0.974498	+	0.974498i	0.999683	−	0.0251848i	$-0.00801742\pi$
$839$	23682.3	+	23682.3i	0.974498	+	0.974498i	−0.0251848	+	0.999683i	$0.508017\pi$
$840$	−21397.2	+	561.275i	−0.878895	+	0.0230546i
$841$	32657.3	−	32657.3i	1.33902	−	1.33902i
$842$	6395.42	+	785.160i	0.261758	+	0.0321359i
$843$	−3187.01	−	1320.10i	−0.130209	−	0.0539344i
$844$	19709.4	+	14583.3i	0.803821	+	0.594759i
$845$	4875.38	+	11770.2i	0.198483	+	0.479180i
$846$	−1861.39	+	3290.12i	−0.0756454	+	0.133708i
$847$		−	29436.4i		−	1.19415i
$848$	−28582.9	+	23564.8i	−1.15748	+	0.954269i
$849$		−	19743.8i		−	0.798122i
$850$	−12843.6	−	7266.31i	−0.518273	−	0.293214i
$851$	1823.30	+	4401.83i	0.0734452	+	0.177312i
$852$	38230.8	−	5714.81i	1.53728	−	0.229796i
$853$	−22116.2	−	9160.83i	−0.887742	−	0.367715i	−0.108248	−	0.994124i	$-0.534524\pi$
$853$	−22116.2	−	9160.83i	−0.887742	−	0.367715i	−0.779495	+	0.626409i	$0.784524\pi$
$854$	3336.01	−	27173.0i	0.133672	−	1.08881i
$855$	−12075.0	+	12075.0i	−0.482991	+	0.482991i
$856$	−6569.14	−	14752.7i	−0.262300	−	0.589063i
$857$	28853.3	+	28853.3i	1.15007	+	1.15007i	0.986538	+	0.163530i	$0.0522880\pi$
$857$	28853.3	+	28853.3i	1.15007	+	1.15007i	0.163530	+	0.986538i	$0.447712\pi$
$858$	17969.2	−	14039.5i	0.714986	−	0.558626i
$859$	4841.92	−	11689.4i	0.192321	−	0.464305i	−0.798076	−	0.602557i	$-0.794149\pi$
$859$	4841.92	−	11689.4i	0.192321	−	0.464305i	0.990397	+	0.138252i	$0.0441485\pi$
$860$	2958.51	−	11867.5i	0.117307	−	0.470555i
$861$	−5979.33	+	2476.72i	−0.236673	+	0.0980330i
$862$	15484.6	−	4294.52i	0.611843	−	0.169689i
$863$	−17390.7			−0.685965			−0.342982	−	0.939342i	$-0.611437\pi$
$863$	−17390.7			−0.685965			−0.342982	+	0.939342i	$0.611437\pi$
$864$	−7424.59	+	10605.1i	−0.292349	+	0.417585i
$865$	5333.29			0.209639
$866$	26210.0	−	7269.10i	1.02847	−	0.285236i
$867$	6858.61	−	2840.93i	0.268663	−	0.111284i
$868$	−29782.4	−	7424.63i	−1.16461	−	0.290332i
$869$	15926.3	−	38449.6i	0.621708	−	1.50094i
$870$	29578.0	−	23109.6i	1.15263	−	0.900562i
$871$	−1797.71	−	1797.71i	−0.0699348	−	0.0699348i
$872$	10000.2	−	26055.1i	0.388361	−	1.01185i
$873$	14829.8	−	14829.8i	0.574930	−	0.574930i
$874$	−2411.82	+	19645.2i	−0.0933422	+	0.760307i
$875$	25571.7	+	10592.2i	0.987980	+	0.409235i
$876$	−2683.82	−	17954.1i	−0.103513	−	0.692481i
$877$	596.594	+	1440.31i	0.0229710	+	0.0554569i	0.934949	−	0.354783i	$-0.115445\pi$
$877$	596.594	+	1440.31i	0.0229710	+	0.0554569i	−0.911978	+	0.410239i	$0.865445\pi$
$878$	−35426.4	−	20042.6i	−1.36171	−	0.770392i
$879$			26542.3i			1.01849i
$880$	−7649.12	−	25013.7i	−0.293014	−	0.958197i
$881$			33644.4i			1.28662i	0.765607	+	0.643308i	$0.222439\pi$
$881$			33644.4i			1.28662i	−0.765607	+	0.643308i	$0.777561\pi$
$882$	349.550	−	617.850i	0.0133446	−	0.0235874i
$883$	4327.10	+	10446.6i	0.164913	+	0.398136i	0.984635	−	0.174626i	$-0.0558717\pi$
$883$	4327.10	+	10446.6i	0.164913	+	0.398136i	−0.819721	+	0.572763i	$0.805872\pi$
$884$	−8456.30	+	11428.8i	−0.321738	+	0.434831i
$885$	−9135.08	−	3783.87i	−0.346974	−	0.143721i
$886$	−6789.24	−	833.509i	−0.257437	−	0.0316053i
$887$	13569.1	−	13569.1i	0.513647	−	0.513647i	−0.401995	−	0.915642i	$-0.631683\pi$
$887$	13569.1	−	13569.1i	0.513647	−	0.513647i	0.915642	+	0.401995i	$0.131683\pi$
$888$	−9701.43	+	10224.1i	−0.366620	+	0.386372i
$889$	−2511.36	−	2511.36i	−0.0947451	−	0.0947451i
$890$	−6579.41	−	8421.00i	−0.247800	−	0.317160i
$891$	18592.4	−	44886.0i	0.699067	−	1.68770i
$892$	16883.3	−	10145.2i	0.633740	−	0.380816i
$893$	10681.4	−	4424.37i	0.400267	−	0.165796i
$894$	747.478	+	2695.16i	0.0279636	+	0.100827i
$895$	−16749.4			−0.625554
$896$	−24542.7	−	12233.3i	−0.915084	−	0.456123i
$897$	7537.56			0.280571
$898$	−6426.37	−	23171.4i	−0.238809	−	0.861069i
$899$	49728.3	−	20598.2i	1.84486	−	0.764168i
$900$	−7412.53	+	4454.20i	−0.274538	+	0.164971i
$901$	−17220.0	+	41572.8i	−0.636716	+	1.53717i
$902$	−4869.37	−	6232.32i	−0.179748	−	0.230059i
$903$	17665.1	+	17665.1i	0.651005	+	0.651005i
$904$	−12965.1	+	13663.6i	−0.477006	+	0.502705i
$905$	−8119.71	+	8119.71i	−0.298241	+	0.298241i
$906$	−52848.4	−	6488.16i	−1.93794	−	0.237919i
$907$	23791.9	+	9854.94i	0.871001	+	0.360780i	0.773000	−	0.634406i	$-0.218755\pi$
$907$	23791.9	+	9854.94i	0.871001	+	0.360780i	0.0980007	+	0.995186i	$0.468755\pi$
$908$	−14999.1	+	20271.4i	−0.548196	+	0.740891i
$909$	−4110.80	−	9924.36i	−0.149996	−	0.362123i
$910$	4587.07	−	8107.91i	0.167099	−	0.295357i
$911$			42220.1i			1.53547i	0.640767	+	0.767736i	$0.278617\pi$
$911$			42220.1i			1.53547i	−0.640767	+	0.767736i	$0.721383\pi$
$912$	−55991.1	+	17121.9i	−2.03295	+	0.621670i
$913$			3357.14i			0.121692i
$914$	−27258.1	−	15421.4i	−0.986454	−	0.558089i
$915$	9771.56	+	23590.6i	0.353047	+	0.852330i
$916$	−1787.01	−	11954.7i	−0.0644591	−	0.431217i
$917$	−18960.2	−	7853.57i	−0.682792	−	0.282822i
$918$	−1916.20	+	15608.1i	−0.0688932	+	0.561160i
$919$	−29324.7	+	29324.7i	−1.05259	+	1.05259i	−0.0540546	+	0.998538i	$0.517214\pi$
$919$	−29324.7	+	29324.7i	−1.05259	+	1.05259i	−0.998538	+	0.0540546i	$0.982786\pi$
$920$	3098.12	−	8071.97i	0.111024	−	0.289266i
$921$	−25660.6	−	25660.6i	−0.918072	−	0.918072i
$922$	24105.9	−	18834.2i	0.861048	−	0.672745i
$923$	−6438.05	+	15542.8i	−0.229589	+	0.554278i
$924$	51841.6	+	12923.9i	1.84574	+	0.460135i
$925$	5882.18	−	2436.48i	0.209086	−	0.0866065i
$926$	−36467.1	+	10113.8i	−1.29415	+	0.358921i
$927$	2731.63			0.0967836
$928$	47357.7	−	8354.14i	1.67521	−	0.295515i
$929$	−12957.9			−0.457625			−0.228812	−	0.973471i	$-0.573484\pi$
$929$	−12957.9			−0.457625			−0.228812	+	0.973471i	$0.573484\pi$
$930$	27586.6	−	7650.89i	0.972689	−	0.269766i
$931$	−2005.85	+	830.850i	−0.0706112	+	0.0292481i
$932$	−8312.89	+	33345.5i	−0.292165	+	1.17196i
$933$	−12689.5	+	30635.1i	−0.445268	+	1.07497i
$934$	13143.3	−	10269.0i	0.460450	−	0.359754i
$935$	−22467.1	−	22467.1i	−0.785831	−	0.785831i
$936$	3389.15	+	7611.22i	0.118352	+	0.265791i
$937$	30016.0	−	30016.0i	1.04651	−	1.04651i	0.0476462	−	0.998864i	$-0.484828\pi$
$937$	30016.0	−	30016.0i	1.04651	−	1.04651i	0.998864	−	0.0476462i	$-0.0151720\pi$
$938$	725.848	−	5912.30i	0.0252663	−	0.205803i
$939$	2613.54	+	1082.56i	0.0908304	+	0.0376232i
$940$	−4994.92	+	746.650i	−0.173315	+	0.0259075i
$941$	−15045.0	−	36321.8i	−0.521203	−	1.25830i	−0.937156	−	0.348910i	$-0.886552\pi$
$941$	−15045.0	−	36321.8i	−0.521203	−	1.25830i	0.415953	−	0.909386i	$-0.363448\pi$
$942$	14288.2	+	8083.56i	0.494197	+	0.279593i
$943$		−	2614.28i		−	0.0902786i
$944$	−8058.29	−	9774.28i	−0.277834	−	0.336998i
$945$		−	10303.8i		−	0.354690i
$946$	−15032.9	+	26571.5i	−0.516662	+	0.913229i
$947$	12223.9	+	29511.1i	0.419454	+	1.01265i	0.982506	+	0.186230i	$0.0596270\pi$
$947$	12223.9	+	29511.1i	0.419454	+	1.01265i	−0.563052	+	0.826421i	$0.690373\pi$
$948$	32713.0	+	24204.8i	1.12075	+	0.829258i
$949$	7299.30	+	3023.47i	0.249679	+	0.103420i
$950$	26251.9	+	3222.93i	0.896552	+	0.110069i
$951$	34085.0	−	34085.0i	1.16223	−	1.16223i
$952$	−33299.0	+	873.475i	−1.13364	+	0.0297369i
$953$	−26512.6	−	26512.6i	−0.901183	−	0.901183i	0.0943555	−	0.995539i	$-0.469921\pi$
$953$	−26512.6	−	26512.6i	−0.901183	−	0.901183i	−0.995539	+	0.0943555i	$0.969921\pi$
$954$	16235.5	+	20779.9i	0.550990	+	0.705213i
$955$	−2270.28	+	5480.93i	−0.0769261	+	0.185716i
$956$	280.942	+	467.534i	0.00950452	+	0.0158171i
$957$	−86561.1	+	35854.8i	−2.92385	+	1.21110i
$958$	11717.0	+	42247.5i	0.395154	+	1.42480i
$959$	34100.9			1.14825
$960$	25541.6	−	1340.90i	0.858701	−	0.0450807i
$961$	11261.2			0.378007
$962$	−1639.34	−	5910.93i	−0.0549423	−	0.198104i
$963$	−10620.9	+	4399.31i	−0.355402	+	0.147213i
$964$	−25197.8	−	41933.3i	−0.841873	−	1.40102i
$965$	12156.6	−	29348.6i	0.405528	−	0.979031i
$966$	10873.0	+	13916.4i	0.362147	+	0.463513i
$967$	2114.28	+	2114.28i	0.0703109	+	0.0703109i	0.741388	−	0.671077i	$-0.234168\pi$
$967$	2114.28	+	2114.28i	0.0703109	+	0.0703109i	−0.671077	+	0.741388i	$0.734168\pi$
$968$	922.351	+	35162.2i	0.0306255	+	1.16752i
$969$	−50290.6	+	50290.6i	−1.66725	+	1.66725i
$970$	27811.2	+	3414.35i	0.920580	+	0.113019i
$971$	−9687.75	−	4012.80i	−0.320180	−	0.132623i	0.216805	−	0.976215i	$-0.430437\pi$
$971$	−9687.75	−	4012.80i	−0.320180	−	0.132623i	−0.536984	+	0.843592i	$0.680437\pi$
$972$	25771.3	+	19068.6i	0.850427	+	0.629243i
$973$	16700.7	+	40319.1i	0.550257	+	1.32844i
$974$	−6665.40	+	11781.5i	−0.219274	+	0.387580i
$975$		−	10072.5i		−	0.330849i
$976$	−3133.48	+	32563.1i	−0.102767	+	1.06795i
$977$		−	29819.0i		−	0.976453i	−0.872717	−	0.488226i	$-0.837644\pi$
$977$		−	29819.0i		−	0.976453i	0.872717	−	0.488226i	$-0.162356\pi$
$978$	−16681.0	−	9437.35i	−0.545400	−	0.308561i
$979$	10208.0	+	24644.3i	0.333248	+	0.804532i
$980$	937.994	−	140.213i	0.0305746	−	0.00457035i
$981$	−18354.5	−	7602.67i	−0.597363	−	0.247436i
$982$	−2205.89	+	17967.8i	−0.0716831	+	0.583885i
$983$	30424.5	−	30424.5i	0.987174	−	0.987174i	−0.0127444	−	0.999919i	$-0.504057\pi$
$983$	30424.5	−	30424.5i	0.987174	−	0.987174i	0.999919	+	0.0127444i	$0.00405678\pi$
$984$	7064.80	−	3145.84i	0.228880	−	0.101916i
$985$	−25213.0	−	25213.0i	−0.815587	−	0.815587i
$986$	46030.3	−	35963.9i	1.48672	−	1.16159i
$987$	3947.73	−	9530.66i	0.127313	−	0.307360i
$988$	6163.91	−	24725.3i	0.198482	−	0.796170i
$989$	−9323.11	+	3861.76i	−0.299755	+	0.124163i
$990$	−17942.9	+	4976.30i	−0.576023	+	0.159755i
$991$	−23803.1			−0.762999			−0.381499	−	0.924369i	$-0.624592\pi$
$991$	−23803.1			−0.762999			−0.381499	+	0.924369i	$0.624592\pi$
$992$	35808.2	+	7935.64i	1.14608	+	0.253989i
$993$	26082.8			0.833547
$994$	−37983.3	+	10534.3i	−1.21203	+	0.336145i
$995$	−13259.7	+	5492.36i	−0.422474	+	0.174995i
$996$	−3185.17	−	794.050i	−0.101331	−	0.0252615i
$997$	2498.66	−	6032.29i	0.0793714	−	0.191619i	−0.879213	−	0.476430i	$-0.841931\pi$
$997$	2498.66	−	6032.29i	0.0793714	−	0.191619i	0.958584	+	0.284810i	$0.0919306\pi$
$998$	−30070.4	+	23494.3i	−0.953770	+	0.745190i
$999$	−4797.57	−	4797.57i	−0.151940	−	0.151940i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	32.4.g.a.21.5	✓	44
4.3	odd	2		128.4.g.a.49.10		44
8.3	odd	2		256.4.g.a.97.2		44
8.5	even	2		256.4.g.b.97.10		44
32.3	odd	8		128.4.g.a.81.10		44
32.13	even	8		256.4.g.b.161.10		44
32.19	odd	8		256.4.g.a.161.2		44
32.29	even	8	inner	32.4.g.a.29.5	yes	44

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
32.4.g.a.21.5	✓	44	1.1	even	1	trivial
32.4.g.a.29.5	yes	44	32.29	even	8	inner
128.4.g.a.49.10		44	4.3	odd	2
128.4.g.a.81.10		44	32.3	odd	8
256.4.g.a.97.2		44	8.3	odd	2
256.4.g.a.161.2		44	32.19	odd	8
256.4.g.b.97.10		44	8.5	even	2
256.4.g.b.161.10		44	32.13	even	8

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:	\( N \)	\(=\)	\( 32 = 2^{5} \)
Weight:	\( k \)	\(=\)	\( 4 \)
Character orbit:	\([\chi]\)	\(=\)	32.g (of order \(8\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.755905 - 2.72555i) q^{2} +(-6.06585 + 2.51256i) q^{3} +(-6.85721 + 4.12051i) q^{4} +(-2.91165 + 7.02935i) q^{5} +(11.4333 + 14.6335i) q^{6} +(-13.3899 - 13.3899i) q^{7} +(16.4141 + 15.5749i) q^{8} +(11.3897 - 11.3897i) q^{9} +O(q^{10})\)	\(q+(-0.755905 - 2.72555i) q^{2} +(-6.06585 + 2.51256i) q^{3} +(-6.85721 + 4.12051i) q^{4} +(-2.91165 + 7.02935i) q^{5} +(11.4333 + 14.6335i) q^{6} +(-13.3899 - 13.3899i) q^{7} +(16.4141 + 15.5749i) q^{8} +(11.3897 - 11.3897i) q^{9} +(21.3598 + 2.62232i) q^{10} +(-49.6279 - 20.5565i) q^{11} +(31.2418 - 42.2236i) q^{12} +(8.74801 + 21.1196i) q^{13} +(-26.3734 + 46.6165i) q^{14} -49.9547i q^{15} +(30.0428 - 56.5105i) q^{16} -77.7412i q^{17} +(-39.6528 - 22.4337i) q^{18} +(53.3229 + 128.733i) q^{19} +(-8.99870 - 60.1993i) q^{20} +(114.864 + 47.5784i) q^{21} +(-18.5138 + 150.802i) q^{22} +(-35.5116 + 35.5116i) q^{23} +(-138.698 - 53.2340i) q^{24} +(47.4543 + 47.4543i) q^{25} +(50.9497 - 39.8075i) q^{26} +(27.3680 - 66.0722i) q^{27} +(146.991 + 36.6443i) q^{28} +(-245.435 + 101.662i) q^{29} +(-136.154 + 37.7610i) q^{30} -202.613 q^{31} +(-176.731 - 39.1664i) q^{32} +352.685 q^{33} +(-211.887 + 58.7650i) q^{34} +(133.110 - 55.1358i) q^{35} +(-31.1703 + 125.033i) q^{36} +(36.3055 - 87.6493i) q^{37} +(310.561 - 242.644i) q^{38} +(-106.128 - 106.128i) q^{39} +(-157.274 + 70.0314i) q^{40} +(-36.8088 + 36.8088i) q^{41} +(42.8506 - 349.033i) q^{42} +(185.642 + 76.8954i) q^{43} +(425.013 - 63.5317i) q^{44} +(46.8995 + 113.225i) q^{45} +(123.632 + 69.9451i) q^{46} -82.9731i q^{47} +(-40.2491 + 418.268i) q^{48} +15.5815i q^{49} +(93.4679 - 165.210i) q^{50} +(195.329 + 471.567i) q^{51} +(-147.010 - 108.775i) q^{52} +(-534.758 - 221.504i) q^{53} +(-200.770 - 24.6484i) q^{54} +(288.998 - 288.998i) q^{55} +(-11.2357 - 428.331i) q^{56} +(-646.898 - 646.898i) q^{57} +(462.611 + 592.096i) q^{58} +(75.7461 - 182.867i) q^{59} +(205.839 + 342.550i) q^{60} +(-472.240 + 195.608i) q^{61} +(153.157 + 552.232i) q^{62} -305.016 q^{63} +(26.8424 + 511.296i) q^{64} -173.928 q^{65} +(-266.597 - 961.260i) q^{66} +(-102.750 + 42.5604i) q^{67} +(320.333 + 533.088i) q^{68} +(126.183 - 304.633i) q^{69} +(-250.893 - 321.119i) q^{70} +(520.392 + 520.392i) q^{71} +(364.346 - 9.55728i) q^{72} +(244.389 - 244.389i) q^{73} +(-266.336 - 32.6978i) q^{74} +(-407.082 - 168.619i) q^{75} +(-896.092 - 663.031i) q^{76} +(389.264 + 939.766i) q^{77} +(-209.035 + 369.480i) q^{78} +774.758i q^{79} +(309.758 + 375.720i) q^{80} +904.451i q^{81} +(128.148 + 72.5002i) q^{82} +(-23.9166 - 57.7397i) q^{83} +(-983.698 + 147.045i) q^{84} +(546.470 + 226.355i) q^{85} +(69.2543 - 564.101i) q^{86} +(1233.34 - 1233.34i) q^{87} +(-494.428 - 1110.37i) q^{88} +(-351.137 - 351.137i) q^{89} +(273.150 - 213.415i) q^{90} +(165.654 - 399.925i) q^{91} +(97.1846 - 389.837i) q^{92} +(1229.02 - 509.078i) q^{93} +(-226.147 + 62.7198i) q^{94} -1060.17 q^{95} +(1170.43 - 206.470i) q^{96} +1302.03 q^{97} +(42.4681 - 11.7781i) q^{98} +(-799.382 + 331.115i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 44 q - 4 q^{2} - 4 q^{3} - 4 q^{4} - 4 q^{5} - 4 q^{6} - 4 q^{7} - 4 q^{8} - 4 q^{9}+O(q^{10}) \) 44 * q - 4 * q^2 - 4 * q^3 - 4 * q^4 - 4 * q^5 - 4 * q^6 - 4 * q^7 - 4 * q^8 - 4 * q^9	\( 44 q - 4 q^{2} - 4 q^{3} - 4 q^{4} - 4 q^{5} - 4 q^{6} - 4 q^{7} - 4 q^{8} - 4 q^{9} + 116 q^{10} - 4 q^{11} - 52 q^{12} - 4 q^{13} - 212 q^{14} - 304 q^{16} - 184 q^{18} - 4 q^{19} + 76 q^{20} - 4 q^{21} + 192 q^{22} + 324 q^{23} - 48 q^{24} - 4 q^{25} + 16 q^{26} - 268 q^{27} + 376 q^{28} - 4 q^{29} + 1188 q^{30} - 752 q^{31} + 616 q^{32} - 8 q^{33} + 528 q^{34} - 460 q^{35} + 1456 q^{36} - 4 q^{37} + 980 q^{38} + 596 q^{39} - 536 q^{40} - 4 q^{41} - 2264 q^{42} + 804 q^{43} - 2044 q^{44} + 104 q^{45} - 1444 q^{46} - 2448 q^{48} - 3564 q^{50} - 1384 q^{51} - 2524 q^{52} + 748 q^{53} - 1088 q^{54} - 292 q^{55} + 1192 q^{56} - 4 q^{57} + 3200 q^{58} + 1372 q^{59} + 5752 q^{60} - 1828 q^{61} + 3384 q^{62} + 2512 q^{63} + 4952 q^{64} - 8 q^{65} + 5996 q^{66} + 2036 q^{67} + 2768 q^{68} - 1060 q^{69} + 1400 q^{70} + 220 q^{71} - 1708 q^{72} - 4 q^{73} - 3476 q^{74} - 1712 q^{75} - 5124 q^{76} + 1900 q^{77} - 11916 q^{78} - 10312 q^{80} - 6404 q^{82} + 2436 q^{83} - 6560 q^{84} + 496 q^{85} - 928 q^{86} - 1292 q^{87} + 1248 q^{88} - 4 q^{89} + 7400 q^{90} - 3604 q^{91} + 10152 q^{92} - 112 q^{93} + 12840 q^{94} - 6088 q^{95} + 17792 q^{96} - 8 q^{97} + 11224 q^{98} - 5424 q^{99}+O(q^{100}) \) 44 * q - 4 * q^2 - 4 * q^3 - 4 * q^4 - 4 * q^5 - 4 * q^6 - 4 * q^7 - 4 * q^8 - 4 * q^9 + 116 * q^10 - 4 * q^11 - 52 * q^12 - 4 * q^13 - 212 * q^14 - 304 * q^16 - 184 * q^18 - 4 * q^19 + 76 * q^20 - 4 * q^21 + 192 * q^22 + 324 * q^23 - 48 * q^24 - 4 * q^25 + 16 * q^26 - 268 * q^27 + 376 * q^28 - 4 * q^29 + 1188 * q^30 - 752 * q^31 + 616 * q^32 - 8 * q^33 + 528 * q^34 - 460 * q^35 + 1456 * q^36 - 4 * q^37 + 980 * q^38 + 596 * q^39 - 536 * q^40 - 4 * q^41 - 2264 * q^42 + 804 * q^43 - 2044 * q^44 + 104 * q^45 - 1444 * q^46 - 2448 * q^48 - 3564 * q^50 - 1384 * q^51 - 2524 * q^52 + 748 * q^53 - 1088 * q^54 - 292 * q^55 + 1192 * q^56 - 4 * q^57 + 3200 * q^58 + 1372 * q^59 + 5752 * q^60 - 1828 * q^61 + 3384 * q^62 + 2512 * q^63 + 4952 * q^64 - 8 * q^65 + 5996 * q^66 + 2036 * q^67 + 2768 * q^68 - 1060 * q^69 + 1400 * q^70 + 220 * q^71 - 1708 * q^72 - 4 * q^73 - 3476 * q^74 - 1712 * q^75 - 5124 * q^76 + 1900 * q^77 - 11916 * q^78 - 10312 * q^80 - 6404 * q^82 + 2436 * q^83 - 6560 * q^84 + 496 * q^85 - 928 * q^86 - 1292 * q^87 + 1248 * q^88 - 4 * q^89 + 7400 * q^90 - 3604 * q^91 + 10152 * q^92 - 112 * q^93 + 12840 * q^94 - 6088 * q^95 + 17792 * q^96 - 8 * q^97 + 11224 * q^98 - 5424 * q^99

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