LMFDB - Embedded newform 32.4.g.a.29.5

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			29.5
Character	$\chi$	$=$	32.29
Dual form			32.4.g.a.21.5

$q$-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 $\left(\mathbb{Z}/32\mathbb{Z}\right)^\times$.

$n$	$5$	$31$
$\chi(n)$	$e\left(\frac{3}{8}\right)$	$1$

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	−0.287050	−	0.957916i	$-0.592675\pi$
$3$	−6.06585	−	2.51256i	−1.16737	−	0.483542i	−0.880324	+	0.474373i	$0.842675\pi$
$4$	−6.85721	−	4.12051i	−0.857152	−	0.515064i
$5$	−2.91165	−	7.02935i	−0.260426	−	0.628724i	0.738539	−	0.674211i	$-0.235516\pi$
$5$	−2.91165	−	7.02935i	−0.260426	−	0.628724i	−0.998965	+	0.0454866i	$0.985516\pi$
$6$	11.4333	−	14.6335i	0.777938	−	0.995684i
$7$	−13.3899	+	13.3899i	−0.722989	+	0.722989i	−0.969213	−	0.246224i	$-0.920810\pi$
$7$	−13.3899	+	13.3899i	−0.722989	+	0.722989i	0.246224	+	0.969213i	$0.420810\pi$
$8$	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	−0.939143	−	0.343527i	$-0.888378\pi$
$11$	−49.6279	+	20.5565i	−1.36031	+	0.563457i	−0.421164	+	0.906985i	$0.638378\pi$
$12$	31.2418	+	42.2236i	0.751561	+	1.01574i
$13$	8.74801	−	21.1196i	0.186635	−	0.450578i	−0.802672	−	0.596420i	$-0.796589\pi$
$13$	8.74801	−	21.1196i	0.186635	−	0.450578i	0.989308	+	0.145842i	$0.0465892\pi$
$14$	−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	$0.187113\pi$
$17$			77.7412i			1.10912i	−0.832144	+	0.554559i	$0.812887\pi$
$18$	−39.6528	+	22.4337i	−0.519237	+	0.293760i
$19$	53.3229	−	128.733i	0.643848	−	1.55439i	−0.177599	−	0.984103i	$-0.556833\pi$
$19$	53.3229	−	128.733i	0.643848	−	1.55439i	0.821447	−	0.570284i	$-0.193167\pi$
$20$	−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	0.527569	−	0.849512i	$-0.323103\pi$
$23$	−35.5116	−	35.5116i	−0.321943	−	0.321943i	−0.849512	+	0.527569i	$0.823103\pi$
$24$	−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	−0.584535	−	0.811368i	$-0.698723\pi$
$29$	−245.435	−	101.662i	−1.57159	−	0.650973i	−0.987053	+	0.160395i	$0.948723\pi$
$30$	−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	0.983783	−	0.179365i	$-0.0574042\pi$
$37$	36.3055	+	87.6493i	0.161313	+	0.389445i	−0.822469	+	0.568809i	$0.807404\pi$
$38$	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	0.633518	−	0.773728i	$-0.281610\pi$
$41$	−36.8088	−	36.8088i	−0.140209	−	0.140209i	−0.773728	+	0.633518i	$0.781610\pi$
$42$	42.8506	+	349.033i	0.157428	+	1.28231i
$43$	185.642	−	76.8954i	0.658375	−	0.272708i	−0.0283797	−	0.999597i	$-0.509035\pi$
$43$	185.642	−	76.8954i	0.658375	−	0.272708i	0.686754	+	0.726889i	$0.259035\pi$
$44$	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	$0.0410977\pi$
$47$			82.9731i			0.257508i	−0.991677	+	0.128754i	$0.958902\pi$
$48$	−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	−0.946062	−	0.323984i	$-0.894978\pi$
$53$	−534.758	+	221.504i	−1.38594	+	0.574074i	−0.439876	+	0.898059i	$0.644978\pi$
$54$	−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	0.985151	−	0.171690i	$-0.0549228\pi$
$59$	75.7461	+	182.867i	0.167141	+	0.403513i	−0.818010	+	0.575204i	$0.804923\pi$
$60$	205.839	−	342.550i	0.442895	−	0.737051i
$61$	−472.240	−	195.608i	−0.991216	−	0.410575i	−0.172647	−	0.984984i	$-0.555232\pi$
$61$	−472.240	−	195.608i	−0.991216	−	0.410575i	−0.818569	+	0.574409i	$0.805232\pi$
$62$	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	0.287033	−	0.957921i	$-0.407331\pi$
$67$	−102.750	−	42.5604i	−0.187357	−	0.0776057i	−0.474389	+	0.880315i	$0.657331\pi$
$68$	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	−0.122608	−	0.992455i	$-0.539126\pi$
$71$	520.392	−	520.392i	0.869847	−	0.869847i	0.992455	+	0.122608i	$0.0391258\pi$
$72$	364.346	+	9.55728i	0.596370	+	0.0156436i
$73$	244.389	+	244.389i	0.391829	+	0.391829i	0.875339	−	0.483510i	$-0.160638\pi$
$73$	244.389	+	244.389i	0.391829	+	0.391829i	−0.483510	+	0.875339i	$0.660638\pi$
$74$	−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	$-0.813983\pi$
$79$		−	774.758i		−	1.10338i	0.834049	−	0.551690i	$-0.186017\pi$
$80$	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	−0.938905	−	0.344177i	$-0.888158\pi$
$83$	−23.9166	+	57.7397i	−0.0316287	+	0.0763585i	0.907276	+	0.420536i	$0.138158\pi$
$84$	−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	−0.884585	−	0.466378i	$-0.845559\pi$
$89$	−351.137	+	351.137i	−0.418207	+	0.418207i	0.466378	+	0.884585i	$0.345559\pi$
$90$	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	0.998320	−	0.0579428i	$-0.0184541\pi$
$101$	255.210	+	616.132i	0.251429	+	0.607004i	−0.746891	+	0.664947i	$0.768454\pi$
$102$	1137.63	+	888.839i	1.10433	+	0.862825i
$103$	119.916	−	119.916i	0.114715	−	0.114715i	−0.647419	−	0.762134i	$-0.724152\pi$
$103$	119.916	−	119.916i	0.114715	−	0.114715i	0.762134	+	0.647419i	$0.224152\pi$
$104$	−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	−0.660117	−	0.751163i	$-0.729493\pi$
$107$	−659.373	+	273.121i	−0.595738	+	0.246763i	0.0643789	+	0.997926i	$0.479493\pi$
$108$	84.5830	−	565.841i	0.0753612	−	0.504149i
$109$	−471.995	+	1139.50i	−0.414761	+	1.00132i	0.569081	+	0.822281i	$0.307299\pi$
$109$	−471.995	+	1139.50i	−0.414761	+	1.00132i	−0.983842	+	0.179040i	$0.942701\pi$
$110$	−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	$-0.887370\pi$
$113$		−	832.434i		−	0.692998i	0.938050	−	0.346499i	$-0.112630\pi$
$114$	−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	0.690714	−	0.723128i	$-0.257297\pi$
$131$	1001.26	+	414.737i	0.667793	+	0.276609i	−0.0229207	+	0.999737i	$0.507297\pi$
$132$	−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	0.188057	−	0.982158i	$-0.439781\pi$
$137$	−1273.38	−	1273.38i	−0.794101	−	0.794101i	−0.982158	+	0.188057i	$0.939781\pi$
$138$	−925.674	+	113.644i	−0.571005	+	0.0701018i
$139$	−2129.20	+	881.945i	−1.29926	+	0.538170i	−0.921731	−	0.387830i	$-0.873225\pi$
$139$	−2129.20	+	881.945i	−1.29926	+	0.538170i	−0.377525	+	0.925999i	$0.623225\pi$
$140$	−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	−0.344103	−	0.938932i	$-0.611817\pi$
$149$	139.146	−	57.6361i	0.0765051	−	0.0316895i	0.420608	+	0.907243i	$0.361817\pi$
$150$	−151.863	−	1236.98i	−0.0826639	−	0.673328i
$151$	−2027.42	−	2027.42i	−1.09264	−	1.09264i	−0.995245	−	0.0973988i	$-0.968948\pi$
$151$	−2027.42	−	2027.42i	−1.09264	−	1.09264i	−0.0973988	−	0.995245i	$-0.531052\pi$
$152$	−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	0.580481	−	0.814274i	$-0.302865\pi$
$157$	816.713	+	338.294i	0.415164	+	0.171967i	−0.165317	+	0.986241i	$0.552865\pi$
$158$	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	0.141642	−	0.989918i	$-0.454762\pi$
$163$	−953.491	−	394.949i	−0.458179	−	0.189784i	−0.599821	+	0.800134i	$0.704762\pi$
$164$	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	−0.883563	−	0.468313i	$-0.844862\pi$
$167$	−896.156	+	896.156i	−0.415249	+	0.415249i	0.468313	+	0.883563i	$0.344862\pi$
$168$	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	−0.971798	−	0.235815i	$-0.924224\pi$
$173$	−268.247	+	647.606i	−0.117887	+	0.284604i	0.853911	+	0.520419i	$0.174224\pi$
$174$	−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	−0.644631	−	0.764494i	$-0.722989\pi$
$179$	842.440	−	2033.83i	0.351770	−	0.849249i	0.996402	−	0.0847553i	$-0.0270109\pi$
$180$	−788.147	+	583.161i	−0.326361	+	0.241479i
$181$	1394.35	−	577.557i	0.572602	−	0.237180i	−0.0775438	−	0.996989i	$-0.524708\pi$
$181$	1394.35	−	577.557i	0.572602	−	0.237180i	0.650146	+	0.759809i	$0.274708\pi$
$182$	−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	−0.814778	−	0.579773i	$-0.803141\pi$
$197$	−1793.41	−	4329.67i	−0.648604	−	1.56587i	0.166174	−	0.986096i	$-0.446859\pi$
$198$	1506.73	−	1928.46i	0.540800	−	0.692171i
$199$	1333.84	−	1333.84i	0.475144	−	0.475144i	−0.428431	−	0.903575i	$-0.640933\pi$
$199$	1333.84	−	1333.84i	0.475144	−	0.475144i	0.903575	+	0.428431i	$0.140933\pi$
$200$	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	0.608792	+	0.793330i	$0.291654\pi$
$211$	−1172.83	+	2831.46i	−0.382658	+	0.923818i	−0.991450	+	0.130488i	$0.958346\pi$
$212$	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	0.765375	−	0.643585i	$-0.222554\pi$
$227$	2912.19	+	1206.27i	0.851494	+	0.352700i	0.0861187	+	0.996285i	$0.472554\pi$
$228$	7101.47	−	1770.37i	2.06275	−	0.514234i
$229$	−578.212	−	1395.93i	−0.166853	−	0.402819i	0.818232	−	0.574889i	$-0.194955\pi$
$229$	−578.212	−	1395.93i	−0.166853	−	0.402819i	−0.985085	+	0.172070i	$0.944955\pi$
$230$	−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	0.990631	−	0.136566i	$-0.0436067\pi$
$233$	3037.56	+	3037.56i	0.854065	+	0.854065i	−0.136566	+	0.990631i	$0.543607\pi$
$234$	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	$0.00293694\pi$
$239$			68.1814i			0.0184531i	−0.999957	+	0.00922654i	$0.997063\pi$
$240$	−2822.96	+	1500.78i	−0.759257	+	0.403645i
$241$		−	6115.20i		−	1.63450i	−0.576282	−	0.817251i	$-0.695497\pi$
$241$		−	6115.20i		−	1.63450i	0.576282	−	0.817251i	$-0.304503\pi$
$242$	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	0.945299	−	0.326206i	$-0.105770\pi$
$251$	183.755	+	443.623i	0.0462092	+	0.111559i	−0.899090	+	0.437765i	$0.855770\pi$
$252$	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	−0.930404	−	0.366535i	$-0.880544\pi$
$263$	−2404.98	+	2404.98i	−0.563869	+	0.563869i	0.366535	+	0.930404i	$0.380544\pi$
$264$	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	0.0844104	−	0.996431i	$-0.473099\pi$
$269$	3217.65	−	7768.09i	0.729306	−	1.76070i	0.644896	−	0.764270i	$-0.276901\pi$
$270$	757.836	+	1339.52i	0.170817	+	0.301928i
$271$			4099.60i			0.918941i	0.888193	+	0.459471i	$0.151961\pi$
$271$			4099.60i			0.918941i	−0.888193	+	0.459471i	$0.848039\pi$
$272$	−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	−0.389465	−	0.921041i	$-0.627340\pi$
$277$	−62.6281	+	25.9414i	−0.0135847	+	0.00562696i	0.375881	+	0.926668i	$0.377340\pi$
$278$	−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	−0.666571	−	0.745442i	$-0.732239\pi$
$281$	371.515	−	371.515i	0.0788709	−	0.0788709i	0.745442	+	0.666571i	$0.232239\pi$
$282$	1214.19	+	948.657i	0.256396	+	0.200325i
$283$	−1150.78	−	2778.24i	−0.241721	−	0.583566i	0.755733	−	0.654880i	$-0.227281\pi$
$283$	−1150.78	−	2778.24i	−0.241721	−	0.583566i	−0.997454	+	0.0713139i	$0.977281\pi$
$284$	−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	0.999755	+	0.0221175i	$0.00704081\pi$
$293$	1547.04	+	3734.89i	0.308461	+	0.744691i	−0.691294	+	0.722573i	$0.742959\pi$
$294$	−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	−0.596013	−	0.802975i	$-0.703249\pi$
$307$	2115.16	−	5106.46i	0.393221	−	0.949319i	0.989234	−	0.146344i	$-0.0467507\pi$
$308$	−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	0.953267	−	0.302130i	$-0.0976976\pi$
$311$	3571.19	+	3571.19i	0.651137	+	0.651137i	−0.302130	+	0.953267i	$0.597698\pi$
$312$	−89.0536	+	3394.94i	−0.0161592	+	0.616027i
$313$	−304.665	+	304.665i	−0.0550182	+	0.0550182i	−0.734081	−	0.679062i	$-0.762387\pi$
$313$	−304.665	+	304.665i	−0.0550182	+	0.0550182i	0.679062	+	0.734081i	$0.262387\pi$
$314$	−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	−0.310213	−	0.950667i	$-0.600400\pi$
$317$	−6782.93	−	2809.58i	−1.20179	−	0.497798i	−0.891577	+	0.452869i	$0.850400\pi$
$318$	−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	−0.666001	−	0.745951i	$-0.731995\pi$
$331$	−3670.23	+	1520.26i	−0.609468	+	0.252450i	0.0565331	+	0.998401i	$0.481995\pi$
$332$	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	$0.134749\pi$
$337$			5082.79i			0.821593i	−0.911727	+	0.410797i	$0.865251\pi$
$338$	−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	0.809124	−	0.587638i	$-0.199942\pi$
$347$	−1154.04	−	2786.09i	−0.178536	−	0.431023i	−0.987660	+	0.156615i	$0.949942\pi$
$348$	−3375.28	−	13539.2i	−0.519925	−	2.08557i
$349$	−2241.53	−	928.474i	−0.343801	−	0.142407i	0.204100	−	0.978950i	$-0.434573\pi$
$349$	−2241.53	−	928.474i	−0.343801	−	0.142407i	−0.547901	+	0.836543i	$0.684573\pi$
$350$	−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	−0.554469	−	0.832205i	$-0.687078\pi$
$359$	1889.18	−	1889.18i	0.277736	−	0.277736i	0.832205	+	0.554469i	$0.187078\pi$
$360$	−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	$0.177198\pi$
$367$			7429.67i			1.05675i	−0.849012	+	0.528373i	$0.822802\pi$
$368$	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	−0.264369	−	0.964421i	$-0.585164\pi$
$373$	1661.51	−	688.219i	0.230642	−	0.0955351i	0.495012	+	0.868886i	$0.335164\pi$
$374$	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	0.943062	+	0.332616i	$0.107931\pi$
$379$	3773.37	+	9109.72i	0.511412	+	1.23466i	−0.431651	+	0.902041i	$0.642069\pi$
$380$	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	0.996219	−	0.0868742i	$-0.0276878\pi$
$389$	1767.36	+	4266.78i	0.230357	+	0.556130i	−0.765863	+	0.643004i	$0.777688\pi$
$390$	−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	−0.0250151	+	0.999687i	$0.507963\pi$
$397$	−5649.54	+	13639.2i	−0.714212	+	1.72426i	−0.689197	+	0.724574i	$0.742037\pi$
$398$	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	$-0.890377\pi$
$401$		−	5422.25i		−	0.675247i	0.941281	−	0.337624i	$-0.109623\pi$
$402$	−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	−0.847652	−	0.530553i	$-0.821984\pi$
$409$	−2622.89	+	2622.89i	−0.317099	+	0.317099i	0.530553	+	0.847652i	$0.321984\pi$
$410$	−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	0.306009	−	0.952029i	$-0.401006\pi$
$419$	−1293.33	−	535.717i	−0.150796	−	0.0624617i	−0.456805	+	0.889567i	$0.651006\pi$
$420$	1830.56	+	7342.90i	0.212671	+	0.853088i
$421$	−871.790	−	2104.69i	−0.100923	−	0.243649i	0.865351	−	0.501166i	$-0.167096\pi$
$421$	−871.790	−	2104.69i	−0.100923	−	0.243649i	−0.966274	+	0.257517i	$0.917096\pi$
$422$	−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	$-0.897167\pi$
$431$		−	5681.29i		−	0.634938i	0.948269	−	0.317469i	$-0.102833\pi$
$432$	−2911.56	+	3531.57i	−0.324265	+	0.393316i
$433$		−	9616.41i		−	1.06729i	−0.845710	−	0.533643i	$-0.820822\pi$
$433$		−	9616.41i		−	1.06729i	0.845710	−	0.533643i	$-0.179178\pi$
$434$	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	0.993634	+	0.112657i	$0.0359361\pi$
$439$	10175.7	+	10175.7i	1.10629	+	1.10629i	0.112657	+	0.993634i	$0.464064\pi$
$440$	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	0.965706	−	0.259639i	$-0.0836035\pi$
$443$	925.474	+	2234.29i	0.0992564	+	0.239626i	−0.866449	+	0.499265i	$0.833603\pi$
$444$	−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	0.983318	−	0.181895i	$-0.0582232\pi$
$457$	7829.53	+	7829.53i	0.801422	+	0.801422i	−0.181895	+	0.983318i	$0.558223\pi$
$458$	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	−0.564723	−	0.825280i	$-0.691017\pi$
$461$	4138.96	−	9992.34i	0.418158	−	1.00952i	0.982881	−	0.184241i	$-0.0589828\pi$
$462$	−9301.50	−	16440.9i	−0.936678	−	1.65563i
$463$			13379.7i			1.34300i	0.741004	+	0.671501i	$0.234350\pi$
$463$			13379.7i			1.34300i	−0.741004	+	0.671501i	$0.765650\pi$
$464$	−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	−0.771763	−	0.635910i	$-0.780625\pi$
$467$	2256.68	−	5448.12i	0.223612	−	0.539848i	0.995375	+	0.0960626i	$0.0306249\pi$
$468$	−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	−0.846797	−	0.531917i	$-0.821472\pi$
$487$	−3384.07	+	3384.07i	−0.314880	+	0.314880i	0.531917	+	0.846797i	$0.321472\pi$
$488$	−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	−0.637500	−	0.770451i	$-0.720031\pi$
$491$	−5913.07	+	2449.27i	−0.543489	+	0.225121i	0.0940105	+	0.995571i	$0.470031\pi$
$492$	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	0.503894	+	0.863765i	$0.331900\pi$
$499$	−5163.06	+	12464.7i	−0.463187	+	1.11823i	−0.967081	+	0.254467i	$0.918100\pi$
$500$	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	0.943866	−	0.330329i	$-0.107160\pi$
$503$	6921.39	+	6921.39i	0.613537	+	0.613537i	−0.330329	+	0.943866i	$0.607160\pi$
$504$	−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	0.911584	−	0.411115i	$-0.134860\pi$
$509$	14532.1	+	6019.39i	1.26547	+	0.524174i	0.353885	+	0.935289i	$0.384860\pi$
$510$	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	0.378526	−	0.925591i	$-0.376431\pi$
$521$	−6505.72	−	6505.72i	−0.547065	−	0.547065i	−0.925591	+	0.378526i	$0.876431\pi$
$522$	12012.8	−	1474.81i	1.00726	−	0.123660i
$523$	18929.1	−	7840.67i	1.58262	−	0.655543i	0.593794	−	0.804617i	$-0.297630\pi$
$523$	18929.1	−	7840.67i	1.58262	−	0.655543i	0.988826	+	0.149075i	$0.0476295\pi$
$524$	−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	−0.276765	−	0.960938i	$-0.589262\pi$
$541$	−14495.4	−	6004.19i	−1.15195	−	0.477154i	−0.875188	+	0.483783i	$0.839262\pi$
$542$	−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	−0.414303	−	0.910139i	$-0.635975\pi$
$547$	−17281.4	−	7158.21i	−1.35082	−	0.559530i	−0.936522	+	0.350609i	$0.885975\pi$
$548$	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	−0.998531	−	0.0541753i	$-0.982747\pi$
$557$	−3341.04	+	8065.99i	−0.254155	+	0.613585i	0.744376	+	0.667761i	$0.232747\pi$
$558$	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	−0.623474	−	0.781844i	$-0.714279\pi$
$563$	4945.85	−	11940.3i	0.370236	−	0.893828i	0.993710	−	0.111984i	$-0.0357206\pi$
$564$	−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	−0.941510	−	0.336984i	$-0.890593\pi$
$569$	−8205.09	+	8205.09i	−0.604526	+	0.604526i	0.336984	+	0.941510i	$0.390593\pi$
$570$	−12121.2	+	15514.0i	−0.890705	+	1.14001i
$571$	4078.90	+	9847.33i	0.298943	+	0.721712i	0.999963	+	0.00857103i	$0.00272828\pi$
$571$	4078.90	+	9847.33i	0.298943	+	0.721712i	−0.701020	+	0.713141i	$0.747272\pi$
$572$	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	−0.259932	−	0.965627i	$-0.583700\pi$
$587$	3400.03	−	1408.34i	0.239070	−	0.0990260i	0.499002	+	0.866601i	$0.333700\pi$
$588$	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	$-0.813431\pi$
$593$		−	15975.1i		−	1.10627i	0.833090	−	0.553137i	$-0.186569\pi$
$594$	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	0.000292806	−	1.00000i	$-0.499907\pi$
$599$	−14655.9	−	14655.9i	−0.999707	−	0.999707i	−1.00000		0.000292806i	$0.999907\pi$
$600$	−4055.64	+	9108.00i	−0.275951	+	0.619721i
$601$	12665.9	−	12665.9i	0.859656	−	0.859656i	−0.131641	−	0.991297i	$-0.542025\pi$
$601$	12665.9	−	12665.9i	0.859656	−	0.859656i	0.991297	+	0.131641i	$0.0420247\pi$
$602$	−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	0.841523	−	0.540221i	$-0.181659\pi$
$613$	−2056.78	−	4965.49i	−0.135518	−	0.327169i	−0.977041	+	0.213053i	$0.931659\pi$
$614$	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	0.775190	−	0.631728i	$-0.217654\pi$
$617$	2198.69	+	2198.69i	0.143462	+	0.143462i	−0.631728	+	0.775190i	$0.717654\pi$
$618$	−383.756	−	3125.83i	−0.0249789	−	0.203462i
$619$	14373.8	−	5953.83i	0.933331	−	0.386598i	0.136390	−	0.990655i	$-0.456450\pi$
$619$	14373.8	−	5953.83i	0.933331	−	0.386598i	0.796941	+	0.604057i	$0.206450\pi$
$620$	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	−0.908216	−	0.418502i	$-0.862555\pi$
$631$	−21029.2	−	21029.2i	−1.32672	−	1.32672i	−0.418502	−	0.908216i	$-0.637445\pi$
$632$	−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	0.800368	−	0.599509i	$-0.204637\pi$
$643$	15365.6	+	6364.66i	0.942398	+	0.390354i	0.142029	+	0.989862i	$0.454637\pi$
$644$	−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	−0.788801	−	0.614649i	$-0.789298\pi$
$647$	−2866.06	+	2866.06i	−0.174152	+	0.174152i	0.614649	+	0.788801i	$0.289298\pi$
$648$	−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	−0.965704	−	0.259645i	$-0.916394\pi$
$653$	−1656.18	+	3998.36i	−0.0992514	+	0.239614i	0.866453	+	0.499259i	$0.166394\pi$
$654$	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	0.514594	+	0.857434i	$0.327943\pi$
$659$	−7707.07	+	18606.5i	−0.455576	+	1.09986i	−0.970170	+	0.242424i	$0.922057\pi$
$660$	−3173.71	+	21231.4i	−0.187176	+	1.25217i
$661$	25591.1	−	10600.2i	1.50587	−	0.623751i	0.531168	−	0.847267i	$-0.321753\pi$
$661$	25591.1	−	10600.2i	1.50587	−	0.623751i	0.974700	+	0.223515i	$0.0717533\pi$
$662$	−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	0.916632	−	0.399733i	$-0.130897\pi$
$677$	−249.757	−	602.967i	−0.0141786	−	0.0342303i	−0.930810	+	0.365503i	$0.880897\pi$
$678$	−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	−0.411187	−	0.911551i	$-0.634886\pi$
$683$	−1024.16	+	424.220i	−0.0573767	+	0.0237662i	0.353811	+	0.935317i	$0.384886\pi$
$684$	−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	0.642166	+	0.766565i	$0.278036\pi$
$691$	−6429.36	+	15521.9i	−0.353957	+	0.854528i	−0.996124	+	0.0879632i	$0.971964\pi$
$692$	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	0.856023	−	0.516938i	$-0.172928\pi$
$701$	20337.8	+	8424.21i	1.09579	+	0.453892i	0.239769	+	0.970830i	$0.422928\pi$
$702$	−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	−0.852146	−	0.523304i	$-0.824699\pi$
$709$	−11697.5	−	28240.4i	−0.619620	−	1.49589i	0.232527	−	0.972590i	$-0.425301\pi$
$710$	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	$0.0242173\pi$
$719$			2930.75i			0.152015i	−0.997107	+	0.0760074i	$0.975783\pi$
$720$	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	0.345663	−	0.938359i	$-0.387654\pi$
$727$	−11618.1	−	11618.1i	−0.592696	−	0.592696i	−0.938359	+	0.345663i	$0.887654\pi$
$728$	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	0.592917	−	0.805264i	$-0.297976\pi$
$733$	8786.76	+	3639.59i	0.442764	+	0.183399i	−0.150152	+	0.988663i	$0.547976\pi$
$734$	−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	−0.535721	−	0.844395i	$-0.679960\pi$
$739$	−30367.3	−	12578.6i	−1.51161	−	0.626130i	−0.975890	+	0.218265i	$0.929960\pi$
$740$	−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	0.559596	−	0.828765i	$-0.310956\pi$
$743$	28118.1	−	28118.1i	1.38836	−	1.38836i	0.828765	−	0.559596i	$-0.189044\pi$
$744$	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	$-0.982981\pi$
$751$		−	2199.78i		−	0.106886i	0.998571	−	0.0534428i	$-0.0170195\pi$
$752$	−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	−0.343720	−	0.939072i	$-0.611687\pi$
$757$	1609.12	−	666.518i	0.0772581	−	0.0320013i	0.420978	+	0.907071i	$0.361687\pi$
$758$	−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	−0.947271	−	0.320434i	$-0.896171\pi$
$761$	−13159.3	+	13159.3i	−0.626837	+	0.626837i	0.320434	+	0.947271i	$0.396171\pi$
$762$	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	0.901437	−	0.432909i	$-0.142513\pi$
$773$	−904.546	−	2183.77i	−0.0420883	−	0.101610i	−0.943526	+	0.331299i	$0.892513\pi$
$774$	−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	0.664787	+	0.747033i	$0.268522\pi$
$787$	−7363.51	+	17777.1i	−0.333521	+	0.805190i	−0.998307	+	0.0581569i	$0.981478\pi$
$788$	−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	0.323100	−	0.946365i	$-0.395275\pi$
$797$	−2646.36	−	1096.16i	−0.117615	−	0.0487177i	−0.440715	+	0.897647i	$0.645275\pi$
$798$	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	−0.993864	−	0.110607i	$-0.964720\pi$
$809$	−25414.2	−	25414.2i	−1.10447	−	1.10447i	−0.110607	−	0.993864i	$-0.535280\pi$
$810$	−2371.76	−	19318.9i	−0.102883	−	0.838019i
$811$	3623.77	−	1501.01i	0.156902	−	0.0649910i	−0.302850	−	0.953038i	$-0.597938\pi$
$811$	3623.77	−	1501.01i	0.156902	−	0.0649910i	0.459752	+	0.888047i	$0.347938\pi$
$812$	−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	−0.635929	−	0.771748i	$-0.719383\pi$
$821$	−12700.5	+	5260.71i	−0.539890	+	0.223630i	0.0960388	+	0.995378i	$0.469383\pi$
$822$	−33192.8	+	4075.06i	−1.40843	+	0.172912i
$823$	12604.5	+	12604.5i	0.533857	+	0.533857i	0.921718	−	0.387861i	$-0.126786\pi$
$823$	12604.5	+	12604.5i	0.533857	+	0.533857i	−0.387861	+	0.921718i	$0.626786\pi$
$824$	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	0.907111	−	0.420892i	$-0.138283\pi$
$827$	−759.345	−	1833.22i	−0.0319287	−	0.0770826i	−0.939040	+	0.343809i	$0.888283\pi$
$828$	−3333.23	+	5547.04i	−0.139901	+	0.232818i
$829$	33918.6	+	14049.5i	1.42104	+	0.588614i	0.955122	−	0.296214i	$-0.0957241\pi$
$829$	33918.6	+	14049.5i	1.42104	+	0.588614i	0.465918	+	0.884828i	$0.345724\pi$
$830$	−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	−0.0251848	−	0.999683i	$-0.508017\pi$
$839$	23682.3	−	23682.3i	0.974498	−	0.974498i	0.999683	+	0.0251848i	$0.00801742\pi$
$840$	−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	−0.779495	−	0.626409i	$-0.784524\pi$
$853$	−22116.2	+	9160.83i	−0.887742	+	0.367715i	−0.108248	+	0.994124i	$0.534524\pi$
$854$	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	0.163530	−	0.986538i	$-0.447712\pi$
$857$	28853.3	−	28853.3i	1.15007	−	1.15007i	0.986538	−	0.163530i	$-0.0522880\pi$
$858$	17969.2	+	14039.5i	0.714986	+	0.558626i
$859$	4841.92	+	11689.4i	0.192321	+	0.464305i	0.990397	−	0.138252i	$-0.0441485\pi$
$859$	4841.92	+	11689.4i	0.192321	+	0.464305i	−0.798076	+	0.602557i	$0.794149\pi$
$860$	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	−0.911978	−	0.410239i	$-0.865445\pi$
$877$	596.594	−	1440.31i	0.0229710	−	0.0554569i	0.934949	+	0.354783i	$0.115445\pi$
$878$	−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	$-0.777561\pi$
$881$		−	33644.4i		−	1.28662i	0.765607	−	0.643308i	$-0.222439\pi$
$882$	349.550	+	617.850i	0.0133446	+	0.0235874i
$883$	4327.10	−	10446.6i	0.164913	−	0.398136i	−0.819721	−	0.572763i	$-0.805872\pi$
$883$	4327.10	−	10446.6i	0.164913	−	0.398136i	0.984635	+	0.174626i	$0.0558717\pi$
$884$	−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	0.915642	−	0.401995i	$-0.131683\pi$
$887$	13569.1	+	13569.1i	0.513647	+	0.513647i	−0.401995	+	0.915642i	$0.631683\pi$
$888$	−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	0.0980007	−	0.995186i	$-0.468755\pi$
$907$	23791.9	−	9854.94i	0.871001	−	0.360780i	0.773000	+	0.634406i	$0.218755\pi$
$908$	−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	$-0.721383\pi$
$911$		−	42220.1i		−	1.53547i	0.640767	−	0.767736i	$-0.278617\pi$
$912$	−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	−0.998538	−	0.0540546i	$-0.982786\pi$
$919$	−29324.7	−	29324.7i	−1.05259	−	1.05259i	−0.0540546	−	0.998538i	$-0.517214\pi$
$920$	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	0.998864	+	0.0476462i	$0.0151720\pi$
$937$	30016.0	+	30016.0i	1.04651	+	1.04651i	0.0476462	+	0.998864i	$0.484828\pi$
$938$	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	0.415953	+	0.909386i	$0.363448\pi$
$941$	−15045.0	+	36321.8i	−0.521203	+	1.25830i	−0.937156	+	0.348910i	$0.886552\pi$
$942$	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	−0.563052	−	0.826421i	$-0.690373\pi$
$947$	12223.9	−	29511.1i	0.419454	−	1.01265i	0.982506	−	0.186230i	$-0.0596270\pi$
$948$	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	−0.995539	−	0.0943555i	$-0.969921\pi$
$953$	−26512.6	+	26512.6i	−0.901183	+	0.901183i	0.0943555	+	0.995539i	$0.469921\pi$
$954$	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	−0.671077	−	0.741388i	$-0.734168\pi$
$967$	2114.28	−	2114.28i	0.0703109	−	0.0703109i	0.741388	+	0.671077i	$0.234168\pi$
$968$	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	−0.536984	−	0.843592i	$-0.680437\pi$
$971$	−9687.75	+	4012.80i	−0.320180	+	0.132623i	0.216805	+	0.976215i	$0.430437\pi$
$972$	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	$0.162356\pi$
$977$			29819.0i			0.976453i	−0.872717	+	0.488226i	$0.837644\pi$
$978$	−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	0.999919	−	0.0127444i	$-0.00405678\pi$
$983$	30424.5	+	30424.5i	0.987174	+	0.987174i	−0.0127444	+	0.999919i	$0.504057\pi$
$984$	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	0.958584	−	0.284810i	$-0.0919306\pi$
$997$	2498.66	+	6032.29i	0.0793714	+	0.191619i	−0.879213	+	0.476430i	$0.841931\pi$
$998$	−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.29.5	yes	44
4.3	odd	2		128.4.g.a.81.10		44
8.3	odd	2		256.4.g.a.161.2		44
8.5	even	2		256.4.g.b.161.10		44
32.5	even	8		256.4.g.b.97.10		44
32.11	odd	8		128.4.g.a.49.10		44
32.21	even	8	inner	32.4.g.a.21.5	✓	44
32.27	odd	8		256.4.g.a.97.2		44

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
32.4.g.a.21.5	✓	44	32.21	even	8	inner
32.4.g.a.29.5	yes	44	1.1	even	1	trivial
128.4.g.a.49.10		44	32.11	odd	8
128.4.g.a.81.10		44	4.3	odd	2
256.4.g.a.97.2		44	32.27	odd	8
256.4.g.a.161.2		44	8.3	odd	2
256.4.g.b.97.10		44	32.5	even	8
256.4.g.b.161.10		44	8.5	even	2

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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