LMFDB - Embedded newform 32.4.g.a.13.4

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			13.4
Character	$\chi$	$=$	32.13
Dual form			32.4.g.a.5.4

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.75970 - 2.21438i) q^{2} +(3.54796 - 8.56554i) q^{3} +(-1.80692 + 7.79327i) q^{4} +(-7.55322 + 3.12865i) q^{5} +(-25.2107 + 7.21625i) q^{6} +(7.16166 - 7.16166i) q^{7} +(20.4369 - 9.71261i) q^{8} +(-41.6886 - 41.6886i) q^{9} +O(q^{10})$	\(q+(-1.75970 - 2.21438i) q^{2} +(3.54796 - 8.56554i) q^{3} +(-1.80692 + 7.79327i) q^{4} +(-7.55322 + 3.12865i) q^{5} +(-25.2107 + 7.21625i) q^{6} +(7.16166 - 7.16166i) q^{7} +(20.4369 - 9.71261i) q^{8} +(-41.6886 - 41.6886i) q^{9} +(20.2194 + 11.2202i) q^{10} +(0.758120 + 1.83026i) q^{11} +(60.3427 + 43.1275i) q^{12} +(71.0832 + 29.4436i) q^{13} +(-28.4610 - 3.25624i) q^{14} +75.7978i q^{15} +(-57.4701 - 28.1636i) q^{16} -98.5470i q^{17} +(-18.9548 + 165.674i) q^{18} +(89.5748 + 37.1031i) q^{19} +(-10.7343 - 64.5175i) q^{20} +(-35.9342 - 86.7528i) q^{21} +(2.71883 - 4.89948i) q^{22} +(24.9355 + 24.9355i) q^{23} +(-10.6845 - 209.513i) q^{24} +(-41.1256 + 41.1256i) q^{25} +(-59.8858 - 209.217i) q^{26} +(-273.726 + 113.381i) q^{27} +(42.8722 + 68.7533i) q^{28} +(-57.8528 + 139.669i) q^{29} +(167.845 - 133.381i) q^{30} +58.0545 q^{31} +(38.7652 + 176.820i) q^{32} +18.3670 q^{33} +(-218.220 + 173.413i) q^{34} +(-31.6873 + 76.4999i) q^{35} +(400.218 - 249.563i) q^{36} +(-202.968 + 84.0720i) q^{37} +(-75.4645 - 263.643i) q^{38} +(504.401 - 504.401i) q^{39} +(-123.977 + 137.301i) q^{40} +(-45.3618 - 45.3618i) q^{41} +(-128.870 + 232.231i) q^{42} +(89.7175 + 216.597i) q^{43} +(-15.6336 + 2.60110i) q^{44} +(445.312 + 184.454i) q^{45} +(11.3376 - 99.0957i) q^{46} -4.38416i q^{47} +(-445.139 + 392.339i) q^{48} +240.421i q^{49} +(163.436 + 18.6989i) q^{50} +(-844.109 - 349.641i) q^{51} +(-357.904 + 500.768i) q^{52} +(8.98141 + 21.6830i) q^{53} +(732.742 + 406.615i) q^{54} +(-11.4525 - 11.4525i) q^{55} +(76.8035 - 215.920i) q^{56} +(635.616 - 635.616i) q^{57} +(411.083 - 117.668i) q^{58} +(287.366 - 119.031i) q^{59} +(-590.712 - 136.960i) q^{60} +(-28.2072 + 68.0983i) q^{61} +(-102.158 - 128.554i) q^{62} -597.119 q^{63} +(323.331 - 396.990i) q^{64} -629.026 q^{65} +(-32.3204 - 40.6714i) q^{66} +(293.521 - 708.622i) q^{67} +(768.003 + 178.067i) q^{68} +(302.057 - 125.116i) q^{69} +(225.160 - 64.4492i) q^{70} +(-579.730 + 579.730i) q^{71} +(-1256.89 - 447.079i) q^{72} +(-258.894 - 258.894i) q^{73} +(543.329 + 301.505i) q^{74} +(206.351 + 498.176i) q^{75} +(-451.009 + 631.038i) q^{76} +(18.5371 + 7.67833i) q^{77} +(-2004.53 - 229.339i) q^{78} -834.510i q^{79} +(522.198 + 32.9225i) q^{80} +1155.05i q^{81} +(-20.6250 + 180.271i) q^{82} +(234.905 + 97.3009i) q^{83} +(741.018 - 123.289i) q^{84} +(308.319 + 744.347i) q^{85} +(321.752 - 579.814i) q^{86} +(991.082 + 991.082i) q^{87} +(33.2702 + 30.0415i) q^{88} +(179.539 - 179.539i) q^{89} +(-375.164 - 1310.67i) q^{90} +(719.939 - 298.208i) q^{91} +(-239.386 + 149.273i) q^{92} +(205.975 - 497.268i) q^{93} +(-9.70819 + 7.71481i) q^{94} -792.661 q^{95} +(1652.10 + 295.306i) q^{96} -624.033 q^{97} +(532.383 - 423.069i) q^{98} +(44.6962 - 107.906i) 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 $\left(\mathbb{Z}/32\mathbb{Z}\right)^\times$.

$n$	$5$	$31$
$\chi(n)$	$e\left(\frac{7}{8}\right)$	$1$

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 $

$2$	−1.75970	−	2.21438i	−0.622148	−	0.782900i
$2$	−1.75970	−	2.21438i	−0.622148	−	0.782900i
$3$	3.54796	−	8.56554i	0.682806	−	1.64844i	−0.0759878	−	0.997109i	$-0.524211\pi$
$3$	3.54796	−	8.56554i	0.682806	−	1.64844i	0.758794	−	0.651331i	$-0.225789\pi$
$4$	−1.80692	+	7.79327i	−0.225865	+	0.974159i
$5$	−7.55322	+	3.12865i	−0.675581	+	0.279835i	−0.693978	−	0.719996i	$-0.744144\pi$
$5$	−7.55322	+	3.12865i	−0.675581	+	0.279835i	0.0183975	+	0.999831i	$0.494144\pi$
$6$	−25.2107	+	7.21625i	−1.71537	+	0.491004i
$7$	7.16166	−	7.16166i	0.386693	−	0.386693i	−0.486813	−	0.873506i	$-0.661841\pi$
$7$	7.16166	−	7.16166i	0.386693	−	0.386693i	0.873506	+	0.486813i	$0.161841\pi$
$8$	20.4369	−	9.71261i	0.903190	−	0.429241i
$9$	−41.6886	−	41.6886i	−1.54402	−	1.54402i
$10$	20.2194	+	11.2202i	0.639393	+	0.354814i
$11$	0.758120	+	1.83026i	0.0207802	+	0.0501678i	0.933929	−	0.357458i	$-0.116357\pi$
$11$	0.758120	+	1.83026i	0.0207802	+	0.0501678i	−0.913149	+	0.407626i	$0.866357\pi$
$12$	60.3427	+	43.1275i	1.45162	+	1.03749i
$13$	71.0832	+	29.4436i	1.51653	+	0.628168i	0.976893	−	0.213728i	$-0.0685606\pi$
$13$	71.0832	+	29.4436i	1.51653	+	0.628168i	0.539639	+	0.841896i	$0.318561\pi$
$14$	−28.4610	−	3.25624i	−0.543323	−	0.0621619i
$15$			75.7978i			1.30473i
$16$	−57.4701	−	28.1636i	−0.897970	−	0.440057i
$17$		−	98.5470i		−	1.40595i	−0.711214	−	0.702975i	$-0.751854\pi$
$17$		−	98.5470i		−	1.40595i	0.711214	−	0.702975i	$-0.248146\pi$
$18$	−18.9548	+	165.674i	−0.248206	+	2.16942i
$19$	89.5748	+	37.1031i	1.08157	+	0.448002i	0.851060	−	0.525068i	$-0.175960\pi$
$19$	89.5748	+	37.1031i	1.08157	+	0.448002i	0.230512	+	0.973070i	$0.425960\pi$
$20$	−10.7343	−	64.5175i	−0.120013	−	0.721328i
$21$	−35.9342	−	86.7528i	−0.373404	−	0.901477i
$22$	2.71883	−	4.89948i	0.0263480	−	0.0474806i
$23$	24.9355	+	24.9355i	0.226062	+	0.226062i	0.811045	−	0.584984i	$-0.198899\pi$
$23$	24.9355	+	24.9355i	0.226062	+	0.226062i	−0.584984	+	0.811045i	$0.698899\pi$
$24$	−10.6845	−	209.513i	−0.0908736	−	1.78194i
$25$	−41.1256	+	41.1256i	−0.329005	+	0.329005i
$26$	−59.8858	−	209.217i	−0.451714	−	1.57811i
$27$	−273.726	+	113.381i	−1.95106	+	0.808154i
$28$	42.8722	+	68.7533i	0.289360	+	0.464041i
$29$	−57.8528	+	139.669i	−0.370448	+	0.894341i	0.623226	+	0.782042i	$0.285822\pi$
$29$	−57.8528	+	139.669i	−0.370448	+	0.894341i	−0.993674	+	0.112299i	$0.964178\pi$
$30$	167.845	−	133.381i	1.02147	−	0.811733i
$31$	58.0545			0.336351			0.168176	−	0.985757i	$-0.446212\pi$
$31$	58.0545			0.336351			0.168176	+	0.985757i	$0.446212\pi$
$32$	38.7652	+	176.820i	0.214150	+	0.976801i
$33$	18.3670			0.0968874
$34$	−218.220	+	173.413i	−1.10072	+	0.874709i
$35$	−31.6873	+	76.4999i	−0.153032	+	0.369453i
$36$	400.218	−	249.563i	1.85286	−	1.15538i
$37$	−202.968	+	84.0720i	−0.901829	+	0.373550i	−0.784923	−	0.619593i	$-0.787298\pi$
$37$	−202.968	+	84.0720i	−0.901829	+	0.373550i	−0.116906	+	0.993143i	$0.537298\pi$
$38$	−75.4645	−	263.643i	−0.322157	−	1.12549i
$39$	504.401	−	504.401i	2.07100	−	2.07100i
$40$	−123.977	+	137.301i	−0.490061	+	0.542731i
$41$	−45.3618	−	45.3618i	−0.172788	−	0.172788i	0.615415	−	0.788203i	$-0.288988\pi$
$41$	−45.3618	−	45.3618i	−0.172788	−	0.172788i	−0.788203	+	0.615415i	$0.788988\pi$
$42$	−128.870	+	232.231i	−0.473454	+	0.853190i
$43$	89.7175	+	216.597i	0.318181	+	0.768157i	0.999351	+	0.0360314i	$0.0114716\pi$
$43$	89.7175	+	216.597i	0.318181	+	0.768157i	−0.681170	+	0.732126i	$0.738528\pi$
$44$	−15.6336	+	2.60110i	−0.0535649	+	0.00891204i
$45$	445.312	+	184.454i	1.47518	+	0.611041i
$46$	11.3376	−	99.0957i	0.0363400	−	0.317627i
$47$		−	4.38416i		−	0.0136063i	−0.999977	−	0.00680315i	$-0.997834\pi$
$47$		−	4.38416i		−	0.0136063i	0.999977	−	0.00680315i	$-0.00216553\pi$
$48$	−445.139	+	392.339i	−1.33855	+	1.17978i
$49$			240.421i			0.700937i
$50$	163.436	+	18.6989i	0.462268	+	0.0528884i
$51$	−844.109	−	349.641i	−2.31762	−	0.959992i
$52$	−357.904	+	500.768i	−0.954467	+	1.33546i
$53$	8.98141	+	21.6830i	0.0232772	+	0.0561961i	0.935091	−	0.354408i	$-0.115318\pi$
$53$	8.98141	+	21.6830i	0.0232772	+	0.0561961i	−0.911814	+	0.410604i	$0.865318\pi$
$54$	732.742	+	406.615i	1.84655	+	1.02469i
$55$	−11.4525	−	11.4525i	−0.0280774	−	0.0280774i
$56$	76.8035	−	215.920i	0.183273	−	0.515242i
$57$	635.616	−	635.616i	1.47701	−	1.47701i
$58$	411.083	−	117.668i	0.930653	−	0.266388i
$59$	287.366	−	119.031i	0.634099	−	0.262652i	−0.0423945	−	0.999101i	$-0.513499\pi$
$59$	287.366	−	119.031i	0.634099	−	0.262652i	0.676494	+	0.736448i	$0.263499\pi$
$60$	−590.712	−	136.960i	−1.27101	−	0.294692i
$61$	−28.2072	+	68.0983i	−0.0592060	+	0.142936i	−0.950714	−	0.310069i	$-0.899648\pi$
$61$	−28.2072	+	68.0983i	−0.0592060	+	0.142936i	0.891508	+	0.453005i	$0.149648\pi$
$62$	−102.158	−	128.554i	−0.209260	−	0.263330i
$63$	−597.119			−1.19413
$64$	323.331	−	396.990i	0.631505	−	0.775372i
$65$	−629.026			−1.20032
$66$	−32.3204	−	40.6714i	−0.0602782	−	0.0758531i
$67$	293.521	−	708.622i	0.535213	−	1.29212i	−0.392818	−	0.919616i	$-0.628500\pi$
$67$	293.521	−	708.622i	0.535213	−	1.29212i	0.928031	−	0.372502i	$-0.121500\pi$
$68$	768.003	+	178.067i	1.36962	+	0.317555i
$69$	302.057	−	125.116i	0.527005	−	0.218293i
$70$	225.160	−	64.4492i	0.384453	−	0.110045i
$71$	−579.730	+	579.730i	−0.969032	+	0.969032i	−0.999535	−	0.0305030i	$-0.990289\pi$
$71$	−579.730	+	579.730i	−0.969032	+	0.969032i	0.0305030	+	0.999535i	$0.490289\pi$
$72$	−1256.89	−	447.079i	−2.05730	−	0.731789i
$73$	−258.894	−	258.894i	−0.415085	−	0.415085i	0.468420	−	0.883506i	$-0.344823\pi$
$73$	−258.894	−	258.894i	−0.415085	−	0.415085i	−0.883506	+	0.468420i	$0.844823\pi$
$74$	543.329	+	301.505i	0.853523	+	0.473639i
$75$	206.351	+	498.176i	0.317698	+	0.766991i
$76$	−451.009	+	631.038i	−0.680714	+	0.952435i
$77$	18.5371	+	7.67833i	0.0274351	+	0.0113640i
$78$	−2004.53	−	229.339i	−2.90985	−	0.332918i
$79$		−	834.510i		−	1.18848i	−0.804289	−	0.594239i	$-0.797453\pi$
$79$		−	834.510i		−	1.18848i	0.804289	−	0.594239i	$-0.202547\pi$
$80$	522.198	+	32.9225i	0.729794	+	0.0460106i
$81$			1155.05i			1.58443i
$82$	−20.6250	+	180.271i	−0.0277762	+	0.242776i
$83$	234.905	+	97.3009i	0.310653	+	0.128677i	0.532563	−	0.846391i	$-0.321229\pi$
$83$	234.905	+	97.3009i	0.310653	+	0.128677i	−0.221910	+	0.975067i	$0.571229\pi$
$84$	741.018	−	123.289i	0.962521	−	0.160143i
$85$	308.319	+	744.347i	0.393434	+	0.949833i
$86$	321.752	−	579.814i	0.403435	−	0.727011i
$87$	991.082	+	991.082i	1.22132	+	1.22132i
$88$	33.2702	+	30.0415i	0.0403025	+	0.0363913i
$89$	179.539	−	179.539i	0.213833	−	0.213833i	−0.592061	−	0.805893i	$-0.701685\pi$
$89$	179.539	−	179.539i	0.213833	−	0.213833i	0.805893	+	0.592061i	$0.201685\pi$
$90$	−375.164	−	1310.67i	−0.439397	−	1.53508i
$91$	719.939	−	298.208i	0.829342	−	0.343525i
$92$	−239.386	+	149.273i	−0.271279	+	0.169161i
$93$	205.975	−	497.268i	0.229663	−	0.554455i
$94$	−9.70819	+	7.71481i	−0.0106524	+	0.00846513i
$95$	−792.661			−0.856056
$96$	1652.10	+	295.306i	1.75642	+	0.313953i
$97$	−624.033			−0.653205			−0.326603	−	0.945162i	$-0.605904\pi$
$97$	−624.033			−0.653205			−0.326603	+	0.945162i	$0.605904\pi$
$98$	532.383	−	423.069i	0.548763	−	0.436086i
$99$	44.6962	−	107.906i	0.0453751	−	0.109545i
$100$	−246.192	−	394.814i	−0.246192	−	0.394814i
$101$	−1513.83	+	627.049i	−1.49140	+	0.617760i	−0.971622	−	0.236540i	$-0.923987\pi$
$101$	−1513.83	+	627.049i	−1.49140	+	0.617760i	−0.519782	+	0.854299i	$0.673987\pi$
$102$	711.140	+	2484.44i	0.690327	+	2.41173i
$103$	146.406	−	146.406i	0.140056	−	0.140056i	−0.633603	−	0.773659i	$-0.718425\pi$
$103$	146.406	−	146.406i	0.140056	−	0.140056i	0.773659	+	0.633603i	$0.218425\pi$
$104$	1738.69	−	88.6679i	1.63935	−	0.0836020i
$105$	542.838	+	542.838i	0.504529	+	0.504529i
$106$	32.2098	−	58.0439i	0.0295141	−	0.0531860i
$107$	375.001	+	905.331i	0.338810	+	0.817960i	0.997831	+	0.0658347i	$0.0209710\pi$
$107$	375.001	+	905.331i	0.338810	+	0.817960i	−0.659021	+	0.752125i	$0.729029\pi$
$108$	−389.007	−	2338.09i	−0.346595	−	2.08317i
$109$	−330.443	−	136.874i	−0.290373	−	0.120277i	0.232742	−	0.972539i	$-0.425230\pi$
$109$	−330.443	−	136.874i	−0.290373	−	0.120277i	−0.523115	+	0.852262i	$0.675230\pi$
$110$	−5.20719	+	45.5131i	−0.00451351	+	0.0394500i
$111$			2036.81i			1.74167i
$112$	−613.280	+	209.883i	−0.517406	+	0.177072i
$113$			743.066i			0.618600i	0.950965	+	0.309300i	$0.100095\pi$
$113$			743.066i			0.618600i	−0.950965	+	0.309300i	$0.899905\pi$
$114$	−2525.99	−	289.000i	−2.07527	−	0.237433i
$115$	−266.358	−	110.329i	−0.215983	−	0.0894630i
$116$	−983.943	−	703.233i	−0.787559	−	0.562876i
$117$	−1735.89	−	4190.82i	−1.37165	−	3.31147i
$118$	−769.256	−	426.878i	−0.600134	−	0.333028i
$119$	−705.760	−	705.760i	−0.543672	−	0.543672i
$120$	736.194	+	1549.07i	0.560042	+	1.17842i
$121$	938.384	−	938.384i	0.705022	−	0.705022i
$122$	200.432	−	57.3711i	0.148740	−	0.0425749i
$123$	−549.491	+	227.606i	−0.402812	+	0.166850i
$124$	−104.900	+	452.434i	−0.0759700	+	0.327660i
$125$	573.044	−	1383.45i	0.410037	−	0.989917i
$126$	1050.75	+	1322.25i	0.742923	+	0.934882i
$127$	−316.036			−0.220816			−0.110408	−	0.993886i	$-0.535216\pi$
$127$	−316.036			−0.220816			−0.110408	+	0.993886i	$0.535216\pi$
$128$	−1448.05	−	17.3916i	−0.999928	−	0.0120095i
$129$	2173.59			1.48352
$130$	1106.90	+	1392.90i	0.746778	+	0.939733i
$131$	−126.926	+	306.426i	−0.0846532	+	0.204371i	−0.960538	−	0.278150i	$-0.910279\pi$
$131$	−126.926	+	306.426i	−0.0846532	+	0.204371i	0.875884	+	0.482521i	$0.160279\pi$
$132$	−33.1877	+	143.139i	−0.0218835	+	0.0943837i
$133$	907.224	−	375.785i	0.591476	−	0.244997i
$134$	−2085.66	+	596.996i	−1.34458	+	0.384870i
$135$	1712.78	−	1712.78i	1.09195	−	1.09195i
$136$	−957.149	−	2013.99i	−0.603491	−	1.26984i
$137$	−465.127	−	465.127i	−0.290062	−	0.290062i	0.547043	−	0.837105i	$-0.315754\pi$
$137$	−465.127	−	465.127i	−0.290062	−	0.290062i	−0.837105	+	0.547043i	$0.815754\pi$
$138$	−808.583	−	448.701i	−0.498776	−	0.276782i
$139$	158.069	+	381.612i	0.0964548	+	0.232863i	0.964741	−	0.263201i	$-0.0847783\pi$
$139$	158.069	+	381.612i	0.0964548	+	0.232863i	−0.868286	+	0.496064i	$0.834778\pi$
$140$	−538.928	−	385.177i	−0.325341	−	0.232524i
$141$	−37.5528	−	15.5549i	−0.0224292	−	0.00929046i
$142$	2303.89	+	263.590i	1.36154	+	0.155774i
$143$			152.423i			0.0891345i
$144$	1221.75	+	3569.95i	0.707029	+	2.06594i
$145$		−	1235.95i		−	0.707864i
$146$	−117.713	+	1028.86i	−0.0667260	+	0.583214i
$147$	2059.34	+	853.006i	1.15545	+	0.478604i
$148$	−288.449	−	1733.69i	−0.160205	−	0.962897i
$149$	316.900	+	765.063i	0.174238	+	0.420647i	0.986740	−	0.162312i	$-0.0518949\pi$
$149$	316.900	+	765.063i	0.174238	+	0.420647i	−0.812502	+	0.582959i	$0.801895\pi$
$150$	740.032	−	1333.58i	0.402822	−	0.725908i
$151$	−1447.99	−	1447.99i	−0.780369	−	0.780369i	0.199524	−	0.979893i	$-0.436060\pi$
$151$	−1447.99	−	1447.99i	−0.780369	−	0.780369i	−0.979893	+	0.199524i	$0.936060\pi$
$152$	2191.00	−	111.734i	1.16917	−	0.0596239i
$153$	−4108.29	+	4108.29i	−2.17082	+	2.17082i
$154$	−15.6171	−	54.5597i	−0.00817181	−	0.0285490i
$155$	−438.498	+	181.632i	−0.227233	+	0.0941228i
$156$	3019.52	+	4842.35i	1.54971	+	2.48524i
$157$	−1154.08	+	2786.21i	−0.586662	+	1.41633i	0.300013	+	0.953935i	$0.403009\pi$
$157$	−1154.08	+	2786.21i	−0.586662	+	1.41633i	−0.886675	+	0.462393i	$0.846991\pi$
$158$	−1847.92	+	1468.49i	−0.930459	+	0.739408i
$159$	217.593			0.108530
$160$	−846.009	−	1214.28i	−0.418018	−	0.599981i
$161$	357.160			0.174833
$162$	2557.72	−	2032.54i	1.24045	−	0.985751i
$163$	1315.01	−	3174.72i	0.631899	−	1.52554i	−0.205333	−	0.978692i	$-0.565828\pi$
$163$	1315.01	−	3174.72i	0.631899	−	1.52554i	0.837232	−	0.546848i	$-0.184172\pi$
$164$	435.482	−	271.552i	0.207350	−	0.129296i
$165$	−138.730	+	57.4638i	−0.0654552	+	0.0271125i
$166$	−197.902	−	691.389i	−0.0925310	−	0.323266i
$167$	−2616.84	+	2616.84i	−1.21256	+	1.21256i	−0.242376	+	0.970182i	$0.577927\pi$
$167$	−2616.84	+	2616.84i	−1.21256	+	1.21256i	−0.970182	+	0.242376i	$0.922073\pi$
$168$	−1576.98	−	1423.94i	−0.724206	−	0.653925i
$169$	2632.38	+	2632.38i	1.19817	+	1.19817i
$170$	1105.72	−	1992.56i	0.498851	−	0.898956i
$171$	−2187.47	−	5281.03i	−0.978247	−	2.36170i
$172$	−1850.11	+	307.819i	−0.820173	+	0.136459i
$173$	1699.43	+	703.925i	0.746849	+	0.309355i	0.723455	−	0.690371i	$-0.242553\pi$
$173$	1699.43	+	703.925i	0.746849	+	0.309355i	0.0233941	+	0.999726i	$0.492553\pi$
$174$	450.622	−	3938.63i	0.196331	−	1.71602i
$175$			589.055i			0.254448i
$176$	7.97764	−	126.537i	0.00341669	−	0.0541936i
$177$		−	2883.76i		−	1.22461i
$178$	−713.503	−	81.6324i	−0.300445	−	0.0343742i
$179$	1726.10	+	714.972i	0.720751	+	0.298545i	0.712745	−	0.701423i	$-0.247452\pi$
$179$	1726.10	+	714.972i	0.720751	+	0.298545i	0.00800596	+	0.999968i	$0.497452\pi$
$180$	−2242.15	+	3137.14i	−0.928443	+	1.29905i
$181$	1087.42	+	2625.26i	0.446559	+	1.07809i	0.973602	+	0.228251i	$0.0733006\pi$
$181$	1087.42	+	2625.26i	0.446559	+	1.07809i	−0.527043	+	0.849839i	$0.676699\pi$
$182$	−1927.22	−	1069.46i	−0.784918	−	0.435569i
$183$	483.221	+	483.221i	0.195195	+	0.195195i
$184$	751.793	+	267.415i	0.301212	+	0.107142i
$185$	1270.03	−	1270.03i	0.504726	−	0.504726i
$186$	−1463.59	+	418.936i	−0.576967	+	0.165150i
$187$	180.367	−	74.7105i	0.0705334	−	0.0292159i
$188$	34.1670	+	7.92183i	0.0132547	+	0.00307319i
$189$	−1148.33	+	2772.32i	−0.441953	+	1.06697i
$190$	1394.84	+	1755.25i	0.532593	+	0.670206i
$191$	1649.64			0.624940			0.312470	−	0.949928i	$-0.398844\pi$
$191$	1649.64			0.624940			0.312470	+	0.949928i	$0.398844\pi$
$192$	−2253.27	−	4178.01i	−0.846958	−	1.57043i
$193$	−1928.59			−0.719291			−0.359645	−	0.933089i	$-0.617102\pi$
$193$	−1928.59			−0.719291			−0.359645	+	0.933089i	$0.617102\pi$
$194$	1098.11	+	1381.84i	0.406390	+	0.511395i
$195$	−2231.76	+	5387.95i	−0.819588	+	1.97866i
$196$	−1873.67	−	434.422i	−0.682823	−	0.158317i
$197$	3725.06	−	1542.97i	1.34720	−	0.558030i	0.411692	−	0.911323i	$-0.364938\pi$
$197$	3725.06	−	1542.97i	1.34720	−	0.558030i	0.935513	+	0.353293i	$0.114938\pi$
$198$	−317.597	+	90.9082i	−0.113993	+	0.0326291i
$199$	361.648	−	361.648i	0.128827	−	0.128827i	−0.639753	−	0.768580i	$-0.720964\pi$
$199$	361.648	−	361.648i	0.128827	−	0.128827i	0.768580	+	0.639753i	$0.220964\pi$
$200$	−441.042	+	1239.92i	−0.155932	+	0.438376i
$201$	−5028.33	−	5028.33i	−1.76453	−	1.76453i
$202$	4052.41	+	2248.77i	1.41152	+	0.783282i
$203$	585.940	+	1414.58i	0.202586	+	0.489086i
$204$	4250.09	−	5946.59i	1.45865	−	2.04091i
$205$	484.549	+	200.707i	0.165085	+	0.0683803i
$206$	−581.828	−	66.5673i	−0.196786	−	0.0225144i
$207$		−	2079.06i		−	0.698089i
$208$	−3255.92	−	3694.09i	−1.08537	−	1.23144i
$209$			192.074i			0.0635696i
$210$	246.816	−	2157.28i	0.0811043	−	0.708887i
$211$	−5549.04	−	2298.49i	−1.81048	−	0.749927i	−0.981721	−	0.190325i	$-0.939046\pi$
$211$	−5549.04	−	2298.49i	−1.81048	−	0.749927i	−0.828762	−	0.559601i	$-0.810954\pi$
$212$	−185.211	+	30.8150i	−0.0600015	+	0.00998295i
$213$	2908.84	+	7022.56i	0.935730	+	2.25905i
$214$	1344.86	−	2423.50i	0.429591	−	0.774146i
$215$	−1355.31	−	1355.31i	−0.429914	−	0.429914i
$216$	−4492.87	+	4975.74i	−1.41528	+	1.56739i
$217$	415.767	−	415.767i	0.130065	−	0.130065i
$218$	278.390	+	972.582i	0.0864905	+	0.302163i
$219$	−3136.11	+	1299.02i	−0.967666	+	0.400820i
$220$	109.946	−	68.5587i	0.0336935	−	0.0210101i
$221$	2901.58	−	7005.03i	0.883174	−	2.13217i
$222$	4510.27	−	3584.18i	1.36356	−	1.08358i
$223$	2968.26			0.891344			0.445672	−	0.895196i	$-0.352965\pi$
$223$	2968.26			0.891344			0.445672	+	0.895196i	$0.352965\pi$
$224$	1543.95	+	988.701i	0.460533	+	0.294912i
$225$	3428.94			1.01598
$226$	1645.43	−	1307.57i	0.484302	−	0.384860i
$227$	−947.980	+	2288.63i	−0.277179	+	0.669169i	−0.999755	−	0.0221219i	$-0.992958\pi$
$227$	−947.980	+	2288.63i	−0.277179	+	0.669169i	0.722576	+	0.691291i	$0.242958\pi$
$228$	3805.02	+	6102.04i	1.10524	+	1.77244i
$229$	−5763.17	+	2387.18i	−1.66306	+	0.688862i	−0.998305	−	0.0581984i	$-0.981464\pi$
$229$	−5763.17	+	2387.18i	−1.66306	+	0.688862i	−0.664756	+	0.747061i	$0.731464\pi$
$230$	224.400	+	783.963i	0.0643326	+	0.224752i
$231$	131.538	−	131.538i	0.0374657	−	0.0374657i
$232$	174.221	+	3416.30i	0.0493024	+	0.966772i
$233$	3036.23	+	3036.23i	0.853691	+	0.853691i	0.990586	−	0.136895i	$-0.0437122\pi$
$233$	3036.23	+	3036.23i	0.853691	+	0.853691i	−0.136895	+	0.990586i	$0.543712\pi$
$234$	−6225.40	+	11218.5i	−1.73918	+	3.13409i
$235$	13.7165	+	33.1146i	0.00380751	+	0.00919215i
$236$	408.392	+	2454.60i	0.112644	+	0.677037i
$237$	−7148.03	−	2960.81i	−1.95913	−	0.811500i
$238$	−320.893	+	2804.74i	−0.0873966	+	0.763885i
$239$		−	6291.50i		−	1.70278i	−0.524537	−	0.851388i	$-0.675761\pi$
$239$		−	6291.50i		−	1.70278i	0.524537	−	0.851388i	$-0.324239\pi$
$240$	2134.74	−	4356.10i	0.574154	−	1.17161i
$241$			795.320i			0.212577i	0.994335	+	0.106289i	$0.0338967\pi$
$241$			795.320i			0.212577i	−0.994335	+	0.106289i	$0.966103\pi$
$242$	−3729.21	−	426.661i	−0.990589	−	0.113334i
$243$	2503.05	+	1036.80i	0.660786	+	0.273706i
$244$	−479.740	−	342.875i	−0.125870	−	0.0899603i
$245$	−752.193	−	1815.95i	−0.196146	−	0.473539i
$246$	1470.94	+	816.260i	0.381236	+	0.211556i
$247$	5274.81	+	5274.81i	1.35882	+	1.35882i
$248$	1186.45	−	563.861i	0.303789	−	0.144376i
$249$	1666.87	−	1666.87i	0.424231	−	0.424231i
$250$	−4071.87	+	1165.52i	−1.03011	+	0.294856i
$251$	6040.73	−	2502.15i	1.51907	−	0.629221i	0.541668	−	0.840593i	$-0.317793\pi$
$251$	6040.73	−	2502.15i	1.51907	−	0.629221i	0.977406	+	0.211372i	$0.0677931\pi$
$252$	1078.95	−	4653.51i	0.269711	−	1.16327i
$253$	−26.7345	+	64.5428i	−0.00664341	+	0.0160386i
$254$	556.128	+	699.823i	0.137380	+	0.172877i
$255$	7469.64			1.83438
$256$	2509.62	+	3237.13i	0.612700	+	0.790315i
$257$	−3591.20			−0.871645			−0.435823	−	0.900033i	$-0.643543\pi$
$257$	−3591.20			−0.871645			−0.435823	+	0.900033i	$0.643543\pi$
$258$	−3824.86	−	4813.14i	−0.922966	−	1.16145i
$259$	−851.491	+	2055.68i	−0.204282	+	0.493181i
$260$	1136.60	−	4902.17i	0.271111	−	1.16931i
$261$	8234.41	−	3410.80i	1.95286	−	0.808902i
$262$	901.894	−	258.156i	0.212669	−	0.0608739i
$263$	−2616.63	+	2616.63i	−0.613491	+	0.613491i	−0.943854	−	0.330363i	$-0.892829\pi$
$263$	−2616.63	+	2616.63i	−0.613491	+	0.613491i	0.330363	+	0.943854i	$0.392829\pi$
$264$	375.364	−	178.391i	0.0875077	−	0.0415880i
$265$	−135.677	−	135.677i	−0.0314513	−	0.0314513i
$266$	−2428.57	−	1347.67i	−0.559794	−	0.310642i
$267$	−900.853	−	2174.85i	−0.206484	−	0.498497i
$268$	4992.11	+	3567.91i	1.13784	+	0.813227i
$269$	−6877.53	−	2848.77i	−1.55885	−	0.645697i	−0.573961	−	0.818883i	$-0.694594\pi$
$269$	−6877.53	−	2848.77i	−1.55885	−	0.645697i	−0.984889	+	0.173186i	$0.944594\pi$
$270$	−6806.72	−	778.762i	−1.53424	−	0.175533i
$271$		−	6338.06i		−	1.42070i	−0.703848	−	0.710350i	$-0.748537\pi$
$271$		−	6338.06i		−	1.42070i	0.703848	−	0.710350i	$-0.251463\pi$
$272$	−2775.44	+	5663.51i	−0.618698	+	1.26250i
$273$		−	7224.70i		−	1.60168i
$274$	−211.483	+	1848.45i	−0.0466282	+	0.407551i
$275$	−106.449	−	44.0926i	−0.0233422	−	0.00966867i
$276$	429.270	+	2580.08i	0.0936197	+	0.562691i
$277$	655.560	+	1582.66i	0.142198	+	0.343296i	0.978893	−	0.204373i	$-0.0655155\pi$
$277$	655.560	+	1582.66i	0.142198	+	0.343296i	−0.836695	+	0.547669i	$0.815515\pi$
$278$	566.879	−	1021.55i	0.122299	−	0.220389i
$279$	−2420.21	−	2420.21i	−0.519334	−	0.519334i
$280$	95.4247	+	1871.18i	0.0203668	+	0.399374i
$281$	−3436.47	+	3436.47i	−0.729547	+	0.729547i	−0.970529	−	0.240983i	$-0.922530\pi$
$281$	−3436.47	+	3436.47i	−0.729547	+	0.729547i	0.240983	+	0.970529i	$0.422530\pi$
$282$	31.6372	+	110.528i	0.00668074	+	0.0233398i
$283$	−5101.55	+	2113.13i	−1.07158	+	0.443861i	−0.847546	−	0.530722i	$-0.821921\pi$
$283$	−5101.55	+	2113.13i	−1.07158	+	0.443861i	−0.224029	+	0.974582i	$0.571921\pi$
$284$	−3470.46	−	5565.51i	−0.725120	−	1.16286i
$285$	−2812.33	+	6789.57i	−0.584520	+	1.41116i
$286$	337.521	−	268.218i	0.0697834	−	0.0554548i
$287$	−649.732			−0.133632
$288$	5755.31	−	8987.44i	1.17755	−	1.83885i
$289$	−4798.52			−0.976698
$290$	−2736.86	+	2174.90i	−0.554187	+	0.440396i
$291$	−2214.05	+	5345.18i	−0.446013	+	1.07677i
$292$	2485.43	−	1549.83i	0.498112	−	0.310606i
$293$	2820.64	−	1168.35i	0.562402	−	0.232954i	−0.0833258	−	0.996522i	$-0.526554\pi$
$293$	2820.64	−	1168.35i	0.562402	−	0.232954i	0.645727	+	0.763568i	$0.276554\pi$
$294$	−1734.94	−	6061.18i	−0.344162	−	1.20237i
$295$	−1798.13	+	1798.13i	−0.354886	+	0.354886i
$296$	−3331.46	+	3689.51i	−0.654180	+	0.724488i
$297$	−415.034	−	415.034i	−0.0810866	−	0.0810866i
$298$	1136.49	−	2048.02i	0.220923	−	0.398115i
$299$	1038.30	+	2506.69i	0.200825	+	0.484835i
$300$	−4255.28	+	707.986i	−0.818928	+	0.136252i
$301$	2193.72	+	908.669i	0.420080	+	0.174003i
$302$	−658.367	+	5754.42i	−0.125446	+	1.09645i
$303$			15191.5i			2.88030i
$304$	−4102.91	−	4655.07i	−0.774073	−	0.878245i
$305$		−	602.612i		−	0.113133i
$306$	16326.6	+	1867.94i	3.05010	+	0.348965i
$307$	424.120	+	175.676i	0.0788463	+	0.0326592i	0.421758	−	0.906708i	$-0.361413\pi$
$307$	424.120	+	175.676i	0.0788463	+	0.0326592i	−0.342912	+	0.939368i	$0.611413\pi$
$308$	−93.3344	+	130.591i	−0.0172670	+	0.0241594i
$309$	−734.603	−	1773.49i	−0.135243	−	0.326506i
$310$	1173.83	+	651.383i	0.215061	+	0.119342i
$311$	−3761.67	−	3761.67i	−0.685868	−	0.685868i	0.275448	−	0.961316i	$-0.411174\pi$
$311$	−3761.67	−	3761.67i	−0.685868	−	0.685868i	−0.961316	+	0.275448i	$0.911174\pi$
$312$	5409.32	−	15207.4i	0.981547	−	2.75946i
$313$	718.221	−	718.221i	0.129700	−	0.129700i	−0.639277	−	0.768977i	$-0.720766\pi$
$313$	718.221	−	718.221i	0.129700	−	0.129700i	0.768977	+	0.639277i	$0.220766\pi$
$314$	8200.55	−	2347.31i	1.47383	−	0.421867i
$315$	4510.17	−	1868.18i	0.806729	−	0.334158i
$316$	6503.56	+	1507.89i	1.15777	+	0.268435i
$317$	1315.47	−	3175.83i	0.233073	−	0.562689i	−0.763463	−	0.645852i	$-0.776502\pi$
$317$	1315.47	−	3175.83i	0.233073	−	0.562689i	0.996536	+	0.0831634i	$0.0265023\pi$
$318$	−382.898	−	481.832i	−0.0675215	−	0.0849680i
$319$	−299.491			−0.0525651
$320$	−1200.14	+	4010.14i	−0.209657	+	0.700543i
$321$	9085.14			1.57970
$322$	−628.493	−	790.886i	−0.108772	−	0.136877i
$323$	3656.40	−	8827.33i	0.629869	−	1.52064i
$324$	−9001.63	−	2087.09i	−1.54349	−	0.357868i
$325$	−4134.23	+	1712.45i	−0.705617	+	0.292276i
$326$	−9344.04	+	2674.62i	−1.58748	+	0.454397i
$327$	−2344.80	+	2344.80i	−0.396537	+	0.396537i
$328$	−1367.63	−	486.471i	−0.230229	−	0.0818930i
$329$	−31.3979	−	31.3979i	−0.00526147	−	0.00526147i
$330$	371.370	+	206.081i	0.0619492	+	0.0343770i
$331$	515.566	+	1244.69i	0.0856136	+	0.206689i	0.960888	−	0.276937i	$-0.0893193\pi$
$331$	515.566	+	1244.69i	0.0856136	+	0.206689i	−0.875274	+	0.483626i	$0.839319\pi$
$332$	−1182.75	+	1654.86i	−0.195517	+	0.273562i
$333$	11966.3	+	4956.60i	1.96921	+	0.815675i
$334$	10399.5	+	1189.82i	1.70370	+	0.194922i
$335$			6270.70i			1.02270i
$336$	−378.133	+	5997.73i	−0.0613953	+	0.973818i
$337$			4770.86i			0.771173i	0.922672	+	0.385587i	$0.126001\pi$
$337$			4770.86i			0.771173i	−0.922672	+	0.385587i	$0.873999\pi$
$338$	1196.88	−	10461.3i	0.192609	−	1.68348i
$339$	6364.77	+	2636.37i	1.01972	+	0.422384i
$340$	−6358.01	+	1057.84i	−1.01415	+	0.168733i
$341$	44.0123	+	106.255i	0.00698944	+	0.0168740i
$342$	−7844.88	+	14136.9i	−1.24036	+	2.23519i
$343$	4178.26	+	4178.26i	0.657741	+	0.657741i
$344$	3937.27	+	3555.17i	0.617102	+	0.557216i
$345$	−1890.06	+	1890.06i	−0.294949	+	0.294949i
$346$	−1431.72	−	5001.86i	−0.222456	−	0.777173i
$347$	2534.53	−	1049.84i	0.392105	−	0.162415i	−0.177915	−	0.984046i	$-0.556935\pi$
$347$	2534.53	−	1049.84i	0.392105	−	0.162415i	0.570021	+	0.821630i	$0.306935\pi$
$348$	−9514.57	+	5932.96i	−1.46562	+	0.913908i
$349$	1115.54	−	2693.15i	0.171099	−	0.413069i	−0.814949	−	0.579533i	$-0.803235\pi$
$349$	1115.54	−	2693.15i	0.171099	−	0.413069i	0.986048	+	0.166464i	$0.0532349\pi$
$350$	1304.39	−	1036.56i	0.199207	−	0.158304i
$351$	−22795.6			−3.46650
$352$	−294.238	+	205.001i	−0.0445539	+	0.0310415i
$353$	2416.71			0.364387			0.182193	−	0.983263i	$-0.441680\pi$
$353$	2416.71			0.364387			0.182193	+	0.983263i	$0.441680\pi$
$354$	−6385.73	+	5074.55i	−0.958751	+	0.761891i
$355$	2565.06	−	6192.60i	0.383490	−	0.925828i
$356$	1074.79	+	1723.61i	0.160010	+	0.256605i
$357$	−8549.23	+	3541.21i	−1.26743	+	0.524988i
$358$	−1454.19	−	5080.36i	−0.214683	−	0.750015i
$359$	8445.07	−	8445.07i	1.24154	−	1.24154i	0.282182	−	0.959361i	$-0.408942\pi$
$359$	8445.07	−	8445.07i	1.24154	−	1.24154i	0.959361	−	0.282182i	$-0.0910582\pi$
$360$	10892.3	−	555.475i	1.59465	−	0.0813225i
$361$	1796.96	+	1796.96i	0.261986	+	0.261986i
$362$	3899.79	−	7027.62i	0.566210	−	1.02034i
$363$	−4708.42	−	11367.1i	−0.680793	−	1.64358i
$364$	1023.15	+	6149.51i	0.147328	+	0.885500i
$365$	2765.47	+	1145.49i	0.396579	+	0.164268i
$366$	219.709	−	1920.36i	0.0313781	−	0.274258i
$367$		−	1632.32i		−	0.232170i	−0.993239	−	0.116085i	$-0.962966\pi$
$367$		−	1632.32i		−	0.232170i	0.993239	−	0.116085i	$-0.0370345\pi$
$368$	−730.772	−	2135.32i	−0.103517	−	0.302477i
$369$			3782.14i			0.533578i
$370$	−5047.19	−	577.453i	−0.709164	−	0.0811360i
$371$	219.608	+	90.9648i	0.0307318	+	0.0127295i
$372$	3503.16	+	2503.74i	0.488254	+	0.348960i
$373$	−5198.39	−	12550.0i	−0.721615	−	1.74213i	−0.668700	−	0.743533i	$-0.733149\pi$
$373$	−5198.39	−	12550.0i	−0.721615	−	1.74213i	−0.0529149	−	0.998599i	$-0.516851\pi$
$374$	−482.829	−	267.933i	−0.0667553	−	0.0370440i
$375$	−9816.87	−	9816.87i	−1.35184	−	1.35184i
$376$	−42.5817	−	89.5986i	−0.00584038	−	0.0122891i
$377$	−8224.72	+	8224.72i	−1.12359	+	1.12359i
$378$	8159.69	−	2335.61i	1.11029	−	0.317807i
$379$	−4404.78	+	1824.52i	−0.596987	+	0.247280i	−0.660653	−	0.750691i	$-0.729721\pi$
$379$	−4404.78	+	1824.52i	−0.596987	+	0.247280i	0.0636663	+	0.997971i	$0.479721\pi$
$380$	1432.27	−	6177.42i	0.193353	−	0.833934i
$381$	−1121.28	+	2707.02i	−0.150775	+	0.364002i
$382$	−2902.86	−	3652.91i	−0.388805	−	0.489265i
$383$	7295.56			0.973331			0.486665	−	0.873589i	$-0.338213\pi$
$383$	7295.56			0.973331			0.486665	+	0.873589i	$0.338213\pi$
$384$	−5286.60	+	12341.6i	−0.702554	+	1.64012i
$385$	−164.038			−0.0217147
$386$	3393.74	+	4270.63i	0.447505	+	0.563133i
$387$	5289.44	−	12769.8i	0.694773	−	1.67733i
$388$	1127.58	−	4863.25i	0.147536	−	0.636326i
$389$	−2614.79	+	1083.08i	−0.340810	+	0.141168i	−0.546523	−	0.837444i	$-0.684049\pi$
$389$	−2614.79	+	1083.08i	−0.340810	+	0.141168i	0.205712	+	0.978612i	$0.434049\pi$
$390$	15858.2	−	4539.21i	2.05900	−	0.589363i
$391$	2457.32	−	2457.32i	0.317832	−	0.317832i
$392$	2335.12	+	4913.46i	0.300870	+	0.633079i
$393$	2174.38	+	2174.38i	0.279091	+	0.279091i
$394$	−9971.69	−	5533.51i	−1.27504	−	0.707549i
$395$	2610.89	+	6303.24i	0.332577	+	0.802913i
$396$	760.179	+	543.307i	0.0964658	+	0.0689450i
$397$	−1867.07	−	773.367i	−0.236034	−	0.0977687i	0.261531	−	0.965195i	$-0.415773\pi$
$397$	−1867.07	−	773.367i	−0.236034	−	0.0977687i	−0.497566	+	0.867426i	$0.665773\pi$
$398$	−1437.22	−	164.433i	−0.181008	−	0.0207092i
$399$		−	9104.14i		−	1.14230i
$400$	3521.74	−	1205.25i	0.440217	−	0.150656i
$401$			12147.1i			1.51271i	0.654162	+	0.756354i	$0.273021\pi$
$401$			12147.1i			1.51271i	−0.654162	+	0.756354i	$0.726979\pi$
$402$	−2286.27	+	19983.0i	−0.283653	+	2.47925i
$403$	4126.70	+	1709.33i	0.510088	+	0.211285i
$404$	−2151.39	−	12930.7i	−0.264940	−	1.59239i
$405$	−3613.75	−	8724.36i	−0.443379	−	1.07041i
$406$	2101.34	−	3786.73i	0.256867	−	0.462888i
$407$	−307.748	−	307.748i	−0.0374803	−	0.0374803i
$408$	−20646.9	+	1052.93i	−2.50532	+	0.127764i
$409$	9049.93	−	9049.93i	1.09411	−	1.09411i	0.0990235	−	0.995085i	$-0.468428\pi$
$409$	9049.93	−	9049.93i	1.09411	−	1.09411i	0.995085	−	0.0990235i	$-0.0315719\pi$
$410$	−408.220	−	1426.16i	−0.0491721	−	0.171787i
$411$	−5634.32	+	2333.81i	−0.676206	+	0.280094i
$412$	876.436	+	1405.52i	0.104803	+	0.168071i
$413$	1205.56	−	2910.48i	0.143636	−	0.346768i
$414$	−4603.81	+	3658.51i	−0.546534	+	0.434314i
$415$	−2078.71			−0.245879
$416$	−2450.66	+	13710.3i	−0.288831	+	1.61587i
$417$	3829.54			0.449720
$418$	425.325	−	337.993i	0.0497687	−	0.0395497i
$419$	−5216.15	+	12592.9i	−0.608176	+	1.46827i	0.256806	+	0.966463i	$0.417330\pi$
$419$	−5216.15	+	12592.9i	−0.608176	+	1.46827i	−0.864982	+	0.501803i	$0.832670\pi$
$420$	−5211.35	+	3249.62i	−0.605447	+	0.377536i
$421$	12044.9	−	4989.15i	1.39437	−	0.577568i	0.446088	−	0.894989i	$-0.352817\pi$
$421$	12044.9	−	4989.15i	1.39437	−	0.577568i	0.948285	+	0.317421i	$0.102817\pi$
$422$	4674.93	+	16332.3i	0.539270	+	1.88399i
$423$	−182.770	+	182.770i	−0.0210084	+	0.0210084i
$424$	394.151	+	355.900i	0.0451454	+	0.0407643i
$425$	4052.81	+	4052.81i	0.462565	+	0.462565i
$426$	10431.9	−	18798.9i	1.18645	−	2.13805i
$427$	285.686	+	689.708i	0.0323778	+	0.0781670i
$428$	−7733.09	+	1286.62i	−0.873348	+	0.145306i
$429$	1305.58	+	540.791i	0.146933	+	0.0608616i
$430$	−616.229	+	5386.11i	−0.0691098	+	0.604050i
$431$			3074.64i			0.343620i	0.985130	+	0.171810i	$0.0549615\pi$
$431$			3074.64i			0.343620i	−0.985130	+	0.171810i	$0.945039\pi$
$432$	18924.2	+	1193.10i	2.10762	+	0.132877i
$433$		−	3478.83i		−	0.386101i	−0.981189	−	0.193051i	$-0.938162\pi$
$433$		−	3478.83i		−	0.386101i	0.981189	−	0.193051i	$-0.0618381\pi$
$434$	−1652.29	−	189.039i	−0.182747	−	0.0209083i
$435$	−10586.6	−	4385.12i	−1.16687	−	0.483334i
$436$	1663.78	−	2327.91i	0.182754	−	0.255703i
$437$	1308.41	+	3158.78i	0.143226	+	0.345778i
$438$	8395.13	+	4658.64i	0.915833	+	0.508216i
$439$	6595.03	+	6595.03i	0.717001	+	0.717001i	0.967990	−	0.250989i	$-0.0807557\pi$
$439$	6595.03	+	6595.03i	0.717001	+	0.717001i	−0.250989	+	0.967990i	$0.580756\pi$
$440$	−345.287	−	122.820i	−0.0374112	−	0.0133073i
$441$	10022.8	−	10022.8i	1.08226	−	1.08226i
$442$	−20617.7	+	5901.56i	−2.21874	+	0.635088i
$443$	1177.46	−	487.720i	0.126282	−	0.0523076i	−0.318648	−	0.947873i	$-0.603229\pi$
$443$	1177.46	−	487.720i	0.126282	−	0.0523076i	0.444930	+	0.895566i	$0.353229\pi$
$444$	−15873.4	−	3680.36i	−1.69667	−	0.393383i
$445$	−794.385	+	1917.82i	−0.0846235	+	0.204299i
$446$	−5223.25	−	6572.85i	−0.554547	−	0.697833i
$447$	7677.53			0.812382
$448$	−527.527	−	5158.69i	−0.0556324	−	0.544030i
$449$	−517.491			−0.0543918			−0.0271959	−	0.999630i	$-0.508658\pi$
$449$	−517.491			−0.0543918			−0.0271959	+	0.999630i	$0.508658\pi$
$450$	−6033.90	−	7592.96i	−0.632091	−	0.795412i
$451$	48.6344	−	117.414i	0.00507784	−	0.0122590i
$452$	−5790.91	−	1342.66i	−0.602614	−	0.139720i
$453$	−17540.2	+	7265.40i	−1.81923	+	0.753550i
$454$	6736.04	−	1928.11i	0.696339	−	0.199319i
$455$	−4504.87	+	4504.87i	−0.464157	+	0.464157i
$456$	6816.51	−	19163.5i	0.700027	−	1.96801i
$457$	1142.85	+	1142.85i	0.116981	+	0.116981i	0.763174	−	0.646193i	$-0.223640\pi$
$457$	1142.85	+	1142.85i	0.116981	+	0.116981i	−0.646193	+	0.763174i	$0.723640\pi$
$458$	15427.6	+	8561.10i	1.57398	+	0.873436i
$459$	11173.3	+	26974.8i	1.13622	+	2.74309i
$460$	1341.11	−	1876.44i	0.135934	−	0.190195i
$461$	−7860.73	−	3256.02i	−0.794166	−	0.328954i	−0.0515489	−	0.998670i	$-0.516416\pi$
$461$	−7860.73	−	3256.02i	−0.794166	−	0.328954i	−0.742617	+	0.669716i	$0.766416\pi$
$462$	−522.743	−	59.8074i	−0.0526411	−	0.00602271i
$463$			2545.63i			0.255519i	0.991805	+	0.127760i	$0.0407786\pi$
$463$			2545.63i			0.255519i	−0.991805	+	0.127760i	$0.959221\pi$
$464$	7258.39	−	6397.45i	0.726212	−	0.640073i
$465$			4400.40i			0.438847i
$466$	1380.50	−	12066.2i	0.137233	−	1.19948i
$467$	−7269.46	−	3011.11i	−0.720322	−	0.298367i	−0.00775364	−	0.999970i	$-0.502468\pi$
$467$	−7269.46	−	3011.11i	−0.720322	−	0.298367i	−0.712568	+	0.701603i	$0.752468\pi$
$468$	35796.8	−	5955.82i	3.53570	−	0.588265i
$469$	−2972.81	−	7177.01i	−0.292690	−	0.706617i
$470$	49.1912	−	88.6452i	0.00482770	−	0.00869978i
$471$	19770.7	+	19770.7i	1.93415	+	1.93415i
$472$	4716.76	−	5223.69i	0.459971	−	0.509406i
$473$	−328.413	+	328.413i	−0.0319249	+	0.0319249i
$474$	6022.04	+	21038.6i	0.583547	+	2.03868i
$475$	−5209.71	+	2157.93i	−0.503237	+	0.208448i
$476$	6775.43	−	4224.93i	0.652419	−	0.406826i
$477$	529.513	−	1278.36i	0.0508276	−	0.122709i
$478$	−13931.7	+	11071.1i	−1.33310	+	1.05938i
$479$	−19071.7			−1.81922			−0.909612	−	0.415459i	$-0.863621\pi$
$479$	−19071.7			−1.81922			−0.909612	+	0.415459i	$0.863621\pi$
$480$	−13402.6	+	2938.32i	−1.27446	+	0.279407i
$481$	−16903.0			−1.60231
$482$	1761.14	−	1399.52i	0.166427	−	0.132254i
$483$	1267.19	−	3059.27i	0.119377	−	0.288202i
$484$	5617.49	+	9008.66i	0.527563	+	0.846043i
$485$	4713.46	−	1952.38i	0.441293	−	0.182790i
$486$	−2108.76	−	7367.15i	−0.196821	−	0.687615i
$487$	4422.93	−	4422.93i	0.411544	−	0.411544i	−0.470732	−	0.882276i	$-0.656010\pi$
$487$	4422.93	−	4422.93i	0.411544	−	0.411544i	0.882276	+	0.470732i	$0.156010\pi$
$488$	84.9447	+	1665.68i	0.00787964	+	0.154512i
$489$	−22527.6	−	22527.6i	−2.08330	−	2.08330i
$490$	−2697.57	+	4861.17i	−0.248702	+	0.448174i
$491$	−1908.12	−	4606.60i	−0.175381	−	0.423408i	0.811606	−	0.584205i	$-0.198593\pi$
$491$	−1908.12	−	4606.60i	−0.175381	−	0.423408i	−0.986987	+	0.160797i	$0.948593\pi$
$492$	−780.913	−	4693.59i	−0.0715575	−	0.430089i
$493$	13764.0	+	5701.22i	1.25740	+	0.520832i
$494$	2398.33	−	20962.5i	0.218434	−	1.90921i
$495$			954.878i			0.0867042i
$496$	−3336.40	−	1635.02i	−0.302034	−	0.148014i
$497$			8303.65i			0.749436i
$498$	−6624.27	−	757.887i	−0.596065	−	0.0681963i
$499$	−9996.34	−	4140.62i	−0.896789	−	0.371462i	−0.113804	−	0.993503i	$-0.536304\pi$
$499$	−9996.34	−	4140.62i	−0.896789	−	0.371462i	−0.782985	+	0.622041i	$0.786304\pi$
$500$	9746.16	+	6965.67i	0.871723	+	0.623029i
$501$	13130.2	+	31699.1i	1.17089	+	2.82677i
$502$	−16170.6	−	8973.41i	−1.43770	−	0.797814i
$503$	−6186.59	−	6186.59i	−0.548402	−	0.548402i	0.377576	−	0.925978i	$-0.376758\pi$
$503$	−6186.59	−	6186.59i	−0.548402	−	0.548402i	−0.925978	+	0.377576i	$0.876758\pi$
$504$	−12203.2	+	5799.59i	−1.07852	+	0.512568i
$505$	9472.48	−	9472.48i	0.834693	−	0.834693i
$506$	189.967	−	54.3756i	0.0166898	−	0.00477726i
$507$	31887.3	−	13208.2i	2.79323	−	1.15699i
$508$	571.052	−	2462.95i	0.0498747	−	0.215110i
$509$	1472.42	−	3554.75i	0.128220	−	0.309551i	−0.846713	−	0.532051i	$-0.821422\pi$
$509$	1472.42	−	3554.75i	0.128220	−	0.309551i	0.974933	+	0.222500i	$0.0714216\pi$
$510$	−13144.3	−	16540.6i	−1.14126	−	1.43614i
$511$	−3708.22			−0.321021
$512$	2752.05	−	11253.6i	0.237548	−	0.971376i
$513$	−28725.7			−2.47226
$514$	6319.43	+	7952.26i	0.542292	+	0.682411i
$515$	−647.783	+	1563.89i	−0.0554267	+	0.133812i
$516$	−3927.50	+	16939.3i	−0.335074	+	1.44518i
$517$	8.02418	−	3.32372i	0.000682598	−	0.000282741i
$518$	6050.42	−	1731.86i	0.513205	−	0.146899i
$519$	12059.0	−	12059.0i	1.01991	−	1.01991i
$520$	−12855.3	+	6109.48i	−1.08412	+	0.515228i
$521$	−41.6914	−	41.6914i	−0.00350582	−	0.00350582i	0.705352	−	0.708858i	$-0.250789\pi$
$521$	−41.6914	−	41.6914i	−0.00350582	−	0.00350582i	−0.708858	+	0.705352i	$0.750789\pi$
$522$	−22042.9	−	12232.1i	−1.84826	−	1.02564i
$523$	6675.06	+	16115.0i	0.558088	+	1.34734i	0.911278	+	0.411791i	$0.135097\pi$
$523$	6675.06	+	16115.0i	0.558088	+	1.34734i	−0.353191	+	0.935551i	$0.614903\pi$
$524$	−2158.72	−	1542.86i	−0.179970	−	0.128626i
$525$	5045.58	+	2089.95i	0.419442	+	0.173739i
$526$	10398.7	+	1189.72i	0.861984	+	0.0986203i
$527$		−	5721.10i		−	0.472894i
$528$	−1055.55	−	517.281i	−0.0870020	−	0.0426359i
$529$		−	10923.4i		−	0.897792i
$530$	−61.6893	+	539.191i	−0.00505587	+	0.0441905i
$531$	−16942.1	−	7017.65i	−1.38460	−	0.573522i
$532$	1289.31	+	7749.25i	0.105073	+	0.631528i
$533$	−1888.85	−	4560.08i	−0.153499	−	0.370579i
$534$	−3230.71	+	5821.91i	−0.261810	+	0.471795i
$535$	−5664.92	−	5664.92i	−0.457787	−	0.457787i
$536$	−883.923	−	17332.9i	−0.0712307	−	1.39676i
$537$	12248.3	−	12248.3i	0.984266	−	0.984266i
$538$	5794.15	+	20242.4i	0.464319	+	1.62214i
$539$	−440.035	+	182.268i	−0.0351644	+	0.0145656i
$540$	10253.3	+	16443.0i	0.817096	+	1.31036i
$541$	−5953.02	+	14371.9i	−0.473087	+	1.14213i	0.489704	+	0.871889i	$0.337105\pi$
$541$	−5953.02	+	14371.9i	−0.473087	+	1.14213i	−0.962792	+	0.270245i	$0.912895\pi$
$542$	−14034.9	+	11153.1i	−1.11227	+	0.883885i
$543$	26344.9			2.08208
$544$	17425.1	−	3820.19i	1.37333	−	0.301084i
$545$	2924.14			0.229828
$546$	−15998.2	+	12713.3i	−1.25396	+	0.996481i
$547$	2956.49	−	7137.60i	0.231098	−	0.557919i	−0.765209	−	0.643782i	$-0.777365\pi$
$547$	2956.49	−	7137.60i	0.231098	−	0.557919i	0.996307	+	0.0858625i	$0.0273646\pi$
$548$	4465.31	−	2784.41i	0.348081	−	0.217052i
$549$	4014.84	−	1663.00i	0.312112	−	0.129281i
$550$	89.6805	+	313.308i	0.00695271	+	0.0242900i
$551$	−10364.3	+	10364.3i	−0.801333	+	0.801333i
$552$	4957.89	−	5490.74i	0.382286	−	0.423372i
$553$	−5976.48	−	5976.48i	−0.459576	−	0.459576i
$554$	2351.02	−	4236.66i	0.180298	−	0.324907i
$555$	−6372.47	−	15384.5i	−0.487381	−	1.17664i
$556$	−3259.62	+	542.331i	−0.248631	+	0.0413668i
$557$	−6601.43	−	2734.40i	−0.502176	−	0.208008i	0.117192	−	0.993109i	$-0.462611\pi$
$557$	−6601.43	−	2734.40i	−0.502176	−	0.208008i	−0.619367	+	0.785101i	$0.712611\pi$
$558$	−1100.41	+	9618.10i	−0.0834843	+	0.729689i
$559$			18038.0i			1.36481i
$560$	3975.59	−	3504.03i	0.299999	−	0.264415i
$561$		−	1810.01i		−	0.136219i
$562$	13656.8	+	1562.48i	1.02505	+	0.117276i
$563$	17608.4	+	7293.65i	1.31813	+	0.545987i	0.927246	−	0.374453i	$-0.122170\pi$
$563$	17608.4	+	7293.65i	1.31813	+	0.545987i	0.390883	+	0.920440i	$0.372170\pi$
$564$	189.078	−	264.552i	0.0141163	−	0.0197512i
$565$	−2324.79	−	5612.54i	−0.173106	−	0.417914i
$566$	13656.5	+	7578.28i	1.01418	+	0.562789i
$567$	8272.09	+	8272.09i	0.612690	+	0.612690i
$568$	−6217.17	+	17478.5i	−0.459272	+	1.29117i
$569$	−13651.2	+	13651.2i	−1.00578	+	1.00578i	−0.00579351	+	0.999983i	$0.501844\pi$
$569$	−13651.2	+	13651.2i	−1.00578	+	1.00578i	−0.999983	+	0.00579351i	$0.998156\pi$
$570$	19983.5	−	5720.04i	1.46845	−	0.420327i
$571$	−15023.6	+	6222.97i	−1.10108	+	0.456083i	−0.857858	−	0.513887i	$-0.828205\pi$
$571$	−15023.6	+	6222.97i	−1.10108	+	0.456083i	−0.243224	+	0.969970i	$0.578205\pi$
$572$	−1187.87	−	275.416i	−0.0868312	−	0.0201324i
$573$	5852.85	−	14130.0i	0.426713	−	1.03018i
$574$	1143.33	+	1438.75i	0.0831390	+	0.104621i
$575$	−2050.98			−0.148751
$576$	−30029.2	+	3070.78i	−2.17225	+	0.222134i
$577$	17031.0			1.22879			0.614394	−	0.788999i	$-0.289400\pi$
$577$	17031.0			1.22879			0.614394	+	0.788999i	$0.289400\pi$
$578$	8443.94	+	10625.7i	0.607650	+	0.764657i
$579$	−6842.58	+	16519.4i	−0.491136	+	1.18571i
$580$	9632.11	+	2233.27i	0.689572	+	0.159882i
$581$	2379.15	−	985.475i	0.169886	−	0.0703690i
$582$	15732.3	−	4503.18i	1.12049	−	0.320726i
$583$	−32.8767	+	32.8767i	−0.00233553	+	0.00233553i
$584$	−7805.51	−	2776.44i	−0.553072	−	0.196729i
$585$	26223.2	+	26223.2i	1.85333	+	1.85333i
$586$	−7550.64	−	4190.02i	−0.532277	−	0.295372i
$587$	−6926.72	−	16722.6i	−0.487046	−	1.17583i	−0.956199	−	0.292717i	$-0.905441\pi$
$587$	−6926.72	−	16722.6i	−0.487046	−	1.17583i	0.469153	−	0.883117i	$-0.344559\pi$
$588$	−10368.8	+	14507.7i	−0.727212	+	1.01749i
$589$	5200.22	+	2154.00i	0.363788	+	0.150686i
$590$	7145.91	+	817.569i	0.498632	+	0.0570488i
$591$		−	37381.5i		−	2.60181i
$592$	14032.3	+	884.682i	0.974199	+	0.0614193i
$593$		−	23359.0i		−	1.61760i	−0.588082	−	0.808801i	$-0.700117\pi$
$593$		−	23359.0i		−	1.61760i	0.588082	−	0.808801i	$-0.299883\pi$
$594$	−188.706	+	1649.38i	−0.0130349	+	0.113930i
$595$	7538.84	+	3122.69i	0.519432	+	0.215156i
$596$	−6534.96	+	1087.28i	−0.449131	+	0.0747258i
$597$	−1814.60	−	4380.82i	−0.124399	−	0.300327i
$598$	3723.65	−	6710.21i	0.254634	−	0.458865i
$599$	−8027.34	−	8027.34i	−0.547559	−	0.547559i	0.378175	−	0.925734i	$-0.376552\pi$
$599$	−8027.34	−	8027.34i	−0.547559	−	0.547559i	−0.925734	+	0.378175i	$0.876552\pi$
$600$	9055.75	+	8176.94i	0.616166	+	0.556370i
$601$	11725.6	−	11725.6i	0.795837	−	0.795837i	−0.186599	−	0.982436i	$-0.559747\pi$
$601$	11725.6	−	11725.6i	0.795837	−	0.795837i	0.982436	+	0.186599i	$0.0597466\pi$
$602$	−1848.15	−	6456.71i	−0.125125	−	0.437136i
$603$	−41777.9	+	17305.0i	−2.82144	+	1.16868i
$604$	13901.0	−	8668.17i	0.936461	−	0.583945i
$605$	−4151.95	+	10023.7i	−0.279010	+	0.673589i
$606$	33639.8	−	26732.5i	2.25499	−	1.79197i
$607$	−25799.6			−1.72516			−0.862580	−	0.505920i	$-0.831153\pi$
$607$	−25799.6			−1.72516			−0.862580	+	0.505920i	$0.831153\pi$
$608$	−3088.18	+	17276.9i	−0.205990	+	1.15242i
$609$	14195.6			0.944555
$610$	−1334.41	+	1060.42i	−0.0885716	+	0.0703852i
$611$	129.086	−	311.640i	0.00854705	−	0.0206344i
$612$	−24593.6	−	39440.3i	−1.62441	−	2.60503i
$613$	8320.05	−	3446.28i	0.548195	−	0.227070i	−0.0913562	−	0.995818i	$-0.529120\pi$
$613$	8320.05	−	3446.28i	0.548195	−	0.227070i	0.639551	+	0.768748i	$0.279120\pi$
$614$	−357.310	−	1248.30i	−0.0234851	−	0.0820476i
$615$	3438.32	−	3438.32i	0.225442	−	0.225442i
$616$	453.418	−	23.1229i	0.0296570	−	0.00151242i
$617$	−14643.0	−	14643.0i	−0.955437	−	0.955437i	0.0436114	−	0.999049i	$-0.486114\pi$
$617$	−14643.0	−	14643.0i	−0.955437	−	0.955437i	−0.999049	+	0.0436114i	$0.986114\pi$
$618$	−2634.49	+	4747.49i	−0.171480	+	0.309016i
$619$	−842.686	−	2034.42i	−0.0547180	−	0.132101i	0.894156	−	0.447755i	$-0.147776\pi$
$619$	−842.686	−	2034.42i	−0.0547180	−	0.132101i	−0.948874	+	0.315654i	$0.897776\pi$
$620$	−623.176	−	3745.53i	−0.0403667	−	0.242620i
$621$	−9652.70	−	3998.28i	−0.623751	−	0.258366i
$622$	−1710.35	+	14949.2i	−0.110255	+	0.963677i
$623$		−	2571.60i		−	0.165376i
$624$	−43193.7	+	14782.2i	−2.77105	+	0.948337i
$625$			4972.32i			0.318228i
$626$	−2854.26	−	326.558i	−0.182235	−	0.0208497i
$627$	1645.22	+	681.473i	0.104791	+	0.0434057i
$628$	−19628.3	−	14028.5i	−1.24722	−	0.891401i
$629$	8285.04	+	20001.9i	0.525193	+	1.26793i
$630$	−12073.4	−	6699.79i	−0.763516	−	0.423692i
$631$	16113.6	+	16113.6i	1.01660	+	1.01660i	0.999860	+	0.0167358i	$0.00532743\pi$
$631$	16113.6	+	16113.6i	1.01660	+	1.01660i	0.0167358	+	0.999860i	$0.494673\pi$
$632$	−8105.27	−	17054.8i	−0.510143	−	1.07342i
$633$	−39375.6	+	39375.6i	−2.47242	+	2.47242i
$634$	−9347.31	+	2675.55i	−0.585535	+	0.167602i
$635$	2387.09	−	988.765i	0.149179	−	0.0617921i
$636$	−393.173	+	1695.76i	−0.0245131	+	0.105725i
$637$	−7078.87	+	17089.9i	−0.440306	+	1.06299i
$638$	527.014	+	663.185i	0.0327032	+	0.0411532i
$639$	48336.2			2.99241
$640$	10991.9	−	4399.08i	0.678893	−	0.271701i
$641$	21358.0			1.31605			0.658026	−	0.752995i	$-0.271392\pi$
$641$	21358.0			1.31605			0.658026	+	0.752995i	$0.271392\pi$
$642$	−15987.1	−	20117.9i	−0.982806	−	1.23675i
$643$	−1217.22	+	2938.63i	−0.0746540	+	0.180231i	−0.956801	−	0.290743i	$-0.906097\pi$
$643$	−1217.22	+	2938.63i	−0.0746540	+	0.180231i	0.882147	+	0.470974i	$0.156097\pi$
$644$	−645.359	+	2783.44i	−0.0394887	+	0.170315i
$645$	−16417.6	+	6800.39i	−1.00224	+	0.415139i
$646$	−25981.2	+	7436.80i	−1.58238	+	0.452937i
$647$	16654.8	−	16654.8i	1.01200	−	1.01200i	0.0120763	−	0.999927i	$-0.496156\pi$
$647$	16654.8	−	16654.8i	1.01200	−	1.01200i	0.999927	−	0.0120763i	$-0.00384410\pi$
$648$	11218.6	+	23605.6i	0.680103	+	1.43104i
$649$	435.716	+	435.716i	0.0263534	+	0.0263534i
$650$	11067.0	+	6141.33i	0.667821	+	0.370589i
$651$	−2086.14	−	5036.39i	−0.125595	−	0.303213i
$652$	22365.3	+	15984.7i	1.34339	+	0.960136i
$653$	20645.8	+	8551.79i	1.23727	+	0.512492i	0.902859	−	0.429937i	$-0.141464\pi$
$653$	20645.8	+	8551.79i	1.23727	+	0.512492i	0.334406	+	0.942429i	$0.391464\pi$
$654$	9318.41	+	1066.13i	0.557154	+	0.0637444i
$655$		−	2711.61i		−	0.161758i
$656$	1329.39	+	3884.50i	0.0791221	+	0.231195i
$657$			21585.8i			1.28180i
$658$	−14.2759	+	124.778i	−0.000845794	+	0.00739261i
$659$	3783.98	+	1567.37i	0.223676	+	0.0926498i	0.491707	−	0.870760i	$-0.336373\pi$
$659$	3783.98	+	1567.37i	0.223676	+	0.0926498i	−0.268031	+	0.963410i	$0.586373\pi$
$660$	−197.157	−	1184.99i	−0.0116278	−	0.0698875i
$661$	−9874.75	−	23839.8i	−0.581064	−	1.40281i	−0.891849	−	0.452333i	$-0.850592\pi$
$661$	−9874.75	−	23839.8i	−0.581064	−	1.40281i	0.310785	−	0.950480i	$-0.399408\pi$
$662$	1848.96	−	3331.93i	0.108553	−	0.195618i
$663$	−49707.2	−	49707.2i	−2.91172	−	2.91172i
$664$	5745.77	−	293.017i	0.335812	−	0.0171254i
$665$	−5676.77	+	5676.77i	−0.331031	+	0.331031i
$666$	−10081.3	−	35220.0i	−0.586549	−	2.04917i
$667$	−4925.31	+	2040.13i	−0.285920	+	0.118432i
$668$	−15665.3	−	25122.2i	−0.907350	−	1.45510i
$669$	10531.3	−	25424.8i	0.608615	−	1.46933i
$670$	13885.7	−	11034.5i	0.800673	−	0.636271i
$671$	−146.022			−0.00840109
$672$	13946.6	−	9716.87i	0.800599	−	0.557792i
$673$	8888.42			0.509099			0.254549	−	0.967060i	$-0.418073\pi$
$673$	8888.42			0.509099			0.254549	+	0.967060i	$0.418073\pi$
$674$	10564.5	−	8395.28i	0.603751	−	0.479783i
$675$	6594.28	−	15920.0i	0.376020	−	0.907794i
$676$	−25271.3	+	15758.3i	−1.43783	+	0.896582i
$677$	−12382.5	+	5128.98i	−0.702949	+	0.291171i	−0.705383	−	0.708826i	$-0.749225\pi$
$677$	−12382.5	+	5128.98i	−0.702949	+	0.291171i	0.00243434	+	0.999997i	$0.499225\pi$
$678$	−5362.15	−	18733.2i	−0.303735	−	1.06113i
$679$	−4469.11	+	4469.11i	−0.252590	+	0.252590i
$680$	13530.6	+	12217.5i	0.763053	+	0.689002i
$681$	16239.9	+	16239.9i	0.913826	+	0.913826i
$682$	157.840	−	284.437i	0.00886220	−	0.0159702i
$683$	−3359.39	−	8110.29i	−0.188204	−	0.454365i	0.801410	−	0.598116i	$-0.204084\pi$
$683$	−3359.39	−	8110.29i	−0.188204	−	0.454365i	−0.989614	+	0.143751i	$0.954084\pi$
$684$	45109.0	−	7505.17i	2.52162	−	0.419543i
$685$	4968.43	+	2057.99i	0.277130	+	0.114791i
$686$	1899.76	−	16604.7i	0.105734	−	0.924157i
$687$			57834.3i			3.21181i
$688$	944.089	−	14974.6i	0.0523155	−	0.829800i
$689$			1805.74i			0.0998453i
$690$	7511.23	+	859.366i	0.414417	+	0.0474138i
$691$	19614.8	+	8124.74i	1.07986	+	0.447293i	0.850460	−	0.526039i	$-0.176323\pi$
$691$	19614.8	+	8124.74i	1.07986	+	0.447293i	0.229401	+	0.973332i	$0.426323\pi$
$692$	−8556.60	+	11972.1i	−0.470048	+	0.657677i
$693$	−452.688	−	1092.89i	−0.0248142	−	0.0599067i
$694$	−6784.74	−	3765.00i	−0.371102	−	0.205933i
$695$	−2387.86	−	2387.86i	−0.130326	−	0.130326i
$696$	29880.6	+	10628.6i	1.62733	+	0.578845i
$697$	−4470.27	+	4470.27i	−0.242932	+	0.242932i
$698$	−7926.67	+	2268.91i	−0.429841	+	0.123037i
$699$	36779.4	−	15234.5i	1.99016	−	0.824353i
$700$	−4590.67	−	1064.38i	−0.247873	−	0.0574709i
$701$	−7415.56	+	17902.8i	−0.399546	+	0.964590i	0.588227	+	0.808696i	$0.299826\pi$
$701$	−7415.56	+	17902.8i	−0.399546	+	0.964590i	−0.987774	+	0.155895i	$0.950174\pi$
$702$	40113.4	+	50478.1i	2.15667	+	2.71392i
$703$	−21300.1			−1.14274
$704$	971.721	+	290.814i	0.0520215	+	0.0155688i
$705$	332.310			0.0177525
$706$	−4252.69	−	5351.51i	−0.226702	−	0.285279i
$707$	−6350.83	+	15332.3i	−0.337832	+	0.815599i
$708$	22473.9	+	5210.73i	1.19297	+	0.276598i
$709$	−4168.86	+	1726.80i	−0.220825	+	0.0914686i	−0.490353	−	0.871524i	$-0.663132\pi$
$709$	−4168.86	+	1726.80i	−0.220825	+	0.0914686i	0.269528	+	0.962992i	$0.413132\pi$
$710$	−18226.5	+	5217.10i	−0.963418	+	0.275767i
$711$	−34789.6	+	34789.6i	−1.83504	+	1.83504i
$712$	1925.42	−	5413.01i	0.101346	−	0.284918i
$713$	1447.62	+	1447.62i	0.0760362	+	0.0760362i
$714$	22885.6	+	12699.8i	1.19954	+	0.665653i
$715$	−476.877	−	1151.28i	−0.0249429	−	0.0602176i
$716$	−8690.89	+	12160.0i	−0.453623	+	0.634695i
$717$	−53890.1	−	22322.0i	−2.80692	−	1.16267i
$718$	−33561.3	−	3839.78i	−1.74443	−	0.199581i
$719$			13109.2i			0.679961i	0.940432	+	0.339981i	$0.110420\pi$
$719$			13109.2i			0.679961i	−0.940432	+	0.339981i	$0.889580\pi$
$720$	−20397.2	−	23142.2i	−1.05578	−	1.19786i
$721$		−	2097.02i		−	0.108318i
$722$	817.036	−	7141.26i	0.0421149	−	0.368103i
$723$	6812.35	+	2821.77i	0.350420	+	0.145149i
$724$	−22424.3	+	3730.91i	−1.15109	+	0.191517i
$725$	−3364.74	−	8123.21i	−0.172363	−	0.416122i
$726$	−16885.7	+	30428.9i	−0.863205	+	1.55554i
$727$	19846.0	+	19846.0i	1.01245	+	1.01245i	0.999922	+	0.0125242i	$0.00398668\pi$
$727$	19846.0	+	19846.0i	1.01245	+	1.01245i	0.0125242	+	0.999922i	$0.496013\pi$
$728$	11816.9	−	13086.9i	0.601598	−	0.666255i
$729$	−4290.62	+	4290.62i	−0.217986	+	0.217986i
$730$	−2329.84	−	8139.51i	−0.118125	−	0.412681i
$731$	21345.0	−	8841.39i	1.07999	−	0.447347i
$732$	−4639.01	+	2892.73i	−0.234239	+	0.146063i
$733$	−1724.21	+	4162.60i	−0.0868827	+	0.209753i	−0.961349	−	0.275333i	$-0.911212\pi$
$733$	−1724.21	+	4162.60i	−0.0868827	+	0.209753i	0.874466	+	0.485086i	$0.161212\pi$
$734$	−3614.57	+	2872.39i	−0.181766	+	0.144444i
$735$	−18223.4			−0.914531
$736$	−3442.47	+	5375.73i	−0.172406	+	0.269228i
$737$	1519.49			0.0759445
$738$	8375.08	−	6655.43i	0.417738	−	0.331964i
$739$	6958.79	−	16800.0i	0.346391	−	0.836263i	−0.650649	−	0.759379i	$-0.725503\pi$
$739$	6958.79	−	16800.0i	0.346391	−	0.836263i	0.997040	−	0.0768839i	$-0.0244971\pi$
$740$	7602.83	+	12192.5i	0.377683	+	0.605683i
$741$	63896.5	−	26466.8i	3.16774	−	1.31212i
$742$	−185.014	−	646.366i	−0.00915377	−	0.0319796i
$743$	−1100.04	+	1100.04i	−0.0543157	+	0.0543157i	−0.733743	−	0.679427i	$-0.762228\pi$
$743$	−1100.04	+	1100.04i	−0.0543157	+	0.0543157i	0.679427	+	0.733743i	$0.262228\pi$
$744$	−620.284	−	12163.2i	−0.0305655	−	0.599359i
$745$	−4787.23	−	4787.23i	−0.235423	−	0.235423i
$746$	−18642.9	+	33595.4i	−0.914964	+	1.64881i
$747$	−5736.53	−	13849.2i	−0.280975	−	0.678335i
$748$	256.330	+	1540.65i	0.0125299	+	0.0753096i
$749$	9169.30	+	3798.05i	0.447315	+	0.185284i
$750$	−4463.50	+	39013.0i	−0.217312	+	1.89940i
$751$		−	22547.4i		−	1.09556i	−0.836623	−	0.547780i	$-0.815473\pi$
$751$		−	22547.4i		−	1.09556i	0.836623	−	0.547780i	$-0.184527\pi$
$752$	−123.474	+	251.958i	−0.00598754	+	0.0122180i
$753$		−	60619.7i		−	2.93374i
$754$	32685.7	+	3739.59i	1.57870	+	0.180621i
$755$	15467.2	+	6406.73i	0.745576	+	0.308828i
$756$	−19530.5	−	13958.6i	−0.939574	−	0.671523i
$757$	1904.46	+	4597.78i	0.0914383	+	0.220752i	0.962982	−	0.269567i	$-0.0868805\pi$
$757$	1904.46	+	4597.78i	0.0914383	+	0.220752i	−0.871543	+	0.490318i	$0.836880\pi$
$758$	11791.2	+	6543.23i	0.565010	+	0.313536i
$759$	457.991	+	457.991i	0.0219025	+	0.0219025i
$760$	−16199.5	+	7698.80i	−0.773181	+	0.367454i
$761$	7703.17	−	7703.17i	0.366938	−	0.366938i	−0.499421	−	0.866359i	$-0.666454\pi$
$761$	7703.17	−	7703.17i	0.366938	−	0.366938i	0.866359	+	0.499421i	$0.166454\pi$
$762$	7967.49	−	2280.60i	0.378782	−	0.108422i
$763$	−3346.76	+	1386.28i	−0.158796	+	0.0657753i
$764$	−2980.76	+	12856.1i	−0.141152	+	0.608790i
$765$	18177.4	−	43884.2i	0.859093	−	2.07403i
$766$	−12838.0	−	16155.1i	−0.605555	−	0.762021i
$767$	23931.6			1.12662
$768$	36631.8	−	10011.0i	1.72114	−	0.470368i
$769$	−29833.1			−1.39897			−0.699485	−	0.714648i	$-0.746587\pi$
$769$	−29833.1			−1.39897			−0.699485	+	0.714648i	$0.746587\pi$
$770$	288.657	+	363.242i	0.0135097	+	0.0170004i
$771$	−12741.4	+	30760.6i	−0.595165	+	1.43685i
$772$	3484.81	−	15030.0i	0.162463	−	0.700703i
$773$	736.895	−	305.232i	0.0342876	−	0.0142024i	−0.365474	−	0.930822i	$-0.619093\pi$
$773$	736.895	−	305.232i	0.0342876	−	0.0142024i	0.399761	+	0.916619i	$0.369093\pi$
$774$	−37585.0	+	10758.3i	−1.74543	+	0.499609i
$775$	−2387.53	+	2387.53i	−0.110661	+	0.110661i
$776$	−12753.3	+	6060.98i	−0.589969	+	0.280382i
$777$	14587.0	+	14587.0i	0.673493	+	0.673493i
$778$	6999.60	+	3884.23i	0.322555	+	0.178993i
$779$	−2380.21	−	5746.34i	−0.109474	−	0.264293i
$780$	−37957.1	−	27128.3i	−1.74241	−	1.24532i
$781$	−1500.56	−	621.554i	−0.0687508	−	0.0284775i
$782$	−9765.58	−	1117.29i	−0.446568	−	0.0510922i
$783$		−	44790.4i		−	2.04429i
$784$	6771.13	−	13817.0i	0.308452	−	0.629420i
$785$		−	24655.6i		−	1.12101i
$786$	988.640	−	8641.15i	0.0448647	−	0.392137i
$787$	23884.7	+	9893.38i	1.08183	+	0.448108i	0.851150	−	0.524922i	$-0.175906\pi$
$787$	23884.7	+	9893.38i	1.08183	+	0.448108i	0.230678	+	0.973030i	$0.425906\pi$
$788$	5293.89	+	31818.4i	0.239324	+	1.43843i
$789$	13129.1	+	31696.5i	0.592408	+	1.43020i
$790$	9363.37	−	16873.3i	0.421688	−	0.759905i
$791$	5321.59	+	5321.59i	0.239208	+	0.239208i
$792$	−134.600	−	2639.38i	−0.00603891	−	0.118417i
$793$	−4010.12	+	4010.12i	−0.179576	+	0.179576i
$794$	1572.96	+	5495.29i	0.0703051	+	0.245618i
$795$	−1643.53	+	680.771i	−0.0733206	+	0.0303704i
$796$	2164.95	+	3471.89i	0.0964003	+	0.154595i
$797$	5927.29	−	14309.7i	0.263432	−	0.635981i	−0.735714	−	0.677292i	$-0.763153\pi$
$797$	5927.29	−	14309.7i	0.263432	−	0.635981i	0.999146	+	0.0413107i	$0.0131534\pi$
$798$	−20160.0	+	16020.5i	−0.894305	+	0.710678i
$799$	−432.046			−0.0191298
$800$	−8866.07	−	5677.58i	−0.391829	−	0.250916i
$801$	−14969.5			−0.660326
$802$	26898.2	−	21375.2i	1.18430	−	0.941128i
$803$	277.571	−	670.117i	0.0121984	−	0.0294494i
$804$	48272.9	−	30101.3i	2.11748	−	1.32039i
$805$	−2697.71	+	1117.43i	−0.118114	+	0.0489244i
$806$	−3476.64	−	12146.0i	−0.151935	−	0.530799i
$807$	−48802.5	+	48802.5i	−2.12878	+	2.12878i
$808$	−24847.7	+	27518.2i	−1.08185	+	1.19813i
$809$	−15747.5	−	15747.5i	−0.684367	−	0.684367i	0.276614	−	0.960981i	$-0.410788\pi$
$809$	−15747.5	−	15747.5i	−0.684367	−	0.684367i	−0.960981	+	0.276614i	$0.910788\pi$
$810$	−12959.9	+	23354.4i	−0.562178	+	1.01308i
$811$	−4881.91	−	11786.0i	−0.211377	−	0.510310i	0.782258	−	0.622955i	$-0.214068\pi$
$811$	−4881.91	−	11786.0i	−0.211377	−	0.510310i	−0.993635	+	0.112644i	$0.964068\pi$
$812$	−12083.0	+	2010.35i	−0.522204	+	0.0868835i
$813$	−54289.0	−	22487.2i	−2.34194	−	0.970063i
$814$	−139.926	+	1223.01i	−0.00602506	+	0.0526617i
$815$			28093.5i			1.20745i
$816$	38663.8	+	43867.1i	1.65871	+	1.88193i
$817$			22730.4i			0.973363i
$818$	−35965.1	−	4114.80i	−1.53727	−	0.175881i
$819$	−42445.1	−	17581.3i	−1.81093	−	0.750112i
$820$	−2439.70	+	3413.56i	−0.103900	+	0.145374i
$821$	417.068	+	1006.89i	0.0177293	+	0.0428024i	0.932496	−	0.361180i	$-0.117626\pi$
$821$	417.068	+	1006.89i	0.0177293	+	0.0428024i	−0.914767	+	0.403982i	$0.867626\pi$
$822$	15082.6	+	8369.70i	0.639985	+	0.355142i
$823$	−12509.6	−	12509.6i	−0.529837	−	0.529837i	0.390687	−	0.920524i	$-0.372237\pi$
$823$	−12509.6	−	12509.6i	−0.529837	−	0.529837i	−0.920524	+	0.390687i	$0.872237\pi$
$824$	1570.09	−	4414.06i	0.0663796	−	0.186615i
$825$	−755.354	+	755.354i	−0.0318764	+	0.0318764i
$826$	−8566.31	+	2452.00i	−0.360847	+	0.103288i
$827$	25130.3	−	10409.3i	1.05667	−	0.437687i	0.214401	−	0.976746i	$-0.431220\pi$
$827$	25130.3	−	10409.3i	1.05667	−	0.437687i	0.842268	+	0.539059i	$0.181220\pi$
$828$	16202.6	+	3756.69i	0.680049	+	0.157674i
$829$	−10061.9	+	24291.6i	−0.421549	+	1.01771i	0.560341	+	0.828262i	$0.310670\pi$
$829$	−10061.9	+	24291.6i	−0.421549	+	1.01771i	−0.981891	+	0.189448i	$0.939330\pi$
$830$	3657.91	+	4603.05i	0.152973	+	0.192499i
$831$	15882.3			0.662996
$832$	34672.2	−	18699.3i	1.44476	−	0.779185i
$833$	23692.8			0.985482
$834$	−6738.83	−	8480.03i	−0.279792	−	0.352086i
$835$	11578.4	−	27952.8i	0.479865	−	1.15850i
$836$	−1496.89	−	347.063i	−0.0619269	−	0.0143582i
$837$	−15891.0	+	6582.27i	−0.656240	+	0.271824i
$838$	37064.3	−	10609.2i	1.52788	−	0.437337i
$839$	−997.866	+	997.866i	−0.0410610	+	0.0410610i	−0.727339	−	0.686278i	$-0.759243\pi$
$839$	−997.866	+	997.866i	−0.0410610	+	0.0410610i	0.686278	+	0.727339i	$0.259243\pi$
$840$	16366.3	+	5821.53i	0.672250	+	0.239121i
$841$	1085.13	+	1085.13i	0.0444926	+	0.0444926i
$842$	−32243.2	−	17892.5i	−1.31968	−	0.732322i
$843$	17242.8	+	41627.7i	0.704475	+	1.70075i
$844$	27939.4	−	39092.0i	1.13947	−	1.59432i
$845$	−28118.7	−	11647.1i	−1.14475	−	0.474171i
$846$	726.340	+	83.1011i	0.0295178	+	0.00337716i
$847$		−	13440.8i		−	0.545254i
$848$	94.5106	−	1499.08i	0.00382725	−	0.0607057i
$849$			51194.9i			2.06950i
$850$	1842.72	−	16106.2i	0.0743585	−	0.649926i
$851$	−7157.49	−	2964.73i	−0.288314	−	0.119424i
$852$	−59984.7	+	9980.17i	−2.41202	+	0.401309i
$853$	−3356.26	−	8102.73i	−0.134720	−	0.325243i	0.842095	−	0.539330i	$-0.181322\pi$
$853$	−3356.26	−	8102.73i	−0.134720	−	0.325243i	−0.976815	+	0.214087i	$0.931322\pi$
$854$	1024.55	−	1846.30i	0.0410532	−	0.0739800i
$855$	33044.9	+	33044.9i	1.32177	+	1.32177i
$856$	16457.0	+	14859.9i	0.657111	+	0.593342i
$857$	22839.3	−	22839.3i	0.910357	−	0.910357i	−0.0859432	−	0.996300i	$-0.527390\pi$
$857$	22839.3	−	22839.3i	0.910357	−	0.910357i	0.996300	+	0.0859432i	$0.0273904\pi$
$858$	−1099.92	−	3842.68i	−0.0437654	−	0.152899i
$859$	7527.54	−	3118.01i	0.298994	−	0.123848i	−0.228143	−	0.973628i	$-0.573265\pi$
$859$	7527.54	−	3118.01i	0.298994	−	0.123848i	0.527137	+	0.849780i	$0.323265\pi$
$860$	13011.3	−	8113.37i	0.515907	−	0.321702i
$861$	−2305.23	+	5565.31i	−0.0912449	+	0.220285i
$862$	6808.40	−	5410.44i	0.269020	−	0.213782i
$863$	29479.1			1.16278			0.581392	−	0.813624i	$-0.302508\pi$
$863$	29479.1			1.16278			0.581392	+	0.813624i	$0.302508\pi$
$864$	−30659.0	−	44004.9i	−1.20722	−	1.73273i
$865$	−15038.5			−0.591125
$866$	−7703.43	+	6121.69i	−0.302279	+	0.240212i
$867$	−17025.0	+	41101.9i	−0.666895	+	1.61003i
$868$	2488.92	+	3991.44i	0.0973267	+	0.156081i
$869$	1527.37	−	632.659i	0.0596233	−	0.0246968i
$870$	8918.94	+	31159.2i	0.347564	+	1.21425i
$871$	41728.8	−	41728.8i	1.62334	−	1.62334i
$872$	−8082.62	+	412.189i	−0.313890	+	0.0160074i
$873$	26015.1	+	26015.1i	1.00856	+	1.00856i
$874$	4692.32	−	8455.82i	0.181602	−	0.327257i
$875$	−5803.86	−	14011.8i	−0.224236	−	0.541353i
$876$	−4456.91	−	26787.8i	−0.171901	−	1.03319i
$877$	−35.5671	−	14.7324i	−0.00136946	−	0.000567248i	0.381999	−	0.924163i	$-0.375236\pi$
$877$	−35.5671	−	14.7324i	−0.00136946	−	0.000567248i	−0.383368	+	0.923596i	$0.625236\pi$
$878$	2998.61	−	26209.1i	0.115260	−	1.00742i
$879$		−	28305.6i		−	1.08615i
$880$	335.632	+	980.720i	0.0128570	+	0.0375683i
$881$			50541.0i			1.93277i	0.257100	+	0.966385i	$0.417233\pi$
$881$			50541.0i			1.93277i	−0.257100	+	0.966385i	$0.582767\pi$
$882$	−39831.5	−	4557.15i	−1.52063	−	0.173976i
$883$	−17247.2	−	7144.04i	−0.657323	−	0.272272i	0.0289887	−	0.999580i	$-0.490771\pi$
$883$	−17247.2	−	7144.04i	−0.657323	−	0.272272i	−0.686312	+	0.727308i	$0.740771\pi$
$884$	49349.2	+	35270.3i	1.87759	+	1.34193i
$885$	9022.27	+	21781.7i	0.342690	+	0.827326i
$886$	−3151.97	−	1749.10i	−0.119517	−	0.0663229i
$887$	−10744.8	−	10744.8i	−0.406736	−	0.406736i	0.473863	−	0.880599i	$-0.342859\pi$
$887$	−10744.8	−	10744.8i	−0.406736	−	0.406736i	−0.880599	+	0.473863i	$0.842859\pi$
$888$	19782.8	+	41626.1i	0.747597	+	1.57306i
$889$	−2263.34	+	2263.34i	−0.0853882	+	0.0853882i
$890$	5644.64	−	1615.71i	0.212594	−	0.0608525i
$891$	−2114.05	+	875.668i	−0.0794875	+	0.0329248i
$892$	−5363.41	+	23132.5i	−0.201323	+	0.868310i
$893$	162.666	−	392.711i	0.00609565	−	0.0147162i
$894$	−13510.1	−	17000.9i	−0.505421	−	0.636014i
$895$	−15274.5			−0.570469
$896$	−10495.0	+	10245.9i	−0.391309	+	0.382021i
$897$	25155.0			0.936345
$898$	910.628	+	1145.92i	0.0338397	+	0.0425833i
$899$	−3358.62	+	8108.42i	−0.124601	+	0.300813i
$900$	−6195.82	+	26722.6i	−0.229475	+	0.989728i
$901$	2136.80	−	885.091i	0.0790090	−	0.0327266i
$902$	−345.580	+	98.9182i	−0.0127567	+	0.00365146i
$903$	15566.5	−	15566.5i	0.573666	−	0.573666i
$904$	7217.11	+	15185.9i	0.265528	+	0.558713i
$905$	−16427.0	−	16427.0i	−0.603374	−	0.603374i
$906$	46953.8	+	26055.7i	1.72178	+	0.955457i
$907$	15317.6	+	36980.0i	0.560764	+	1.35380i	0.909157	+	0.416454i	$0.136727\pi$
$907$	15317.6	+	36980.0i	0.560764	+	1.35380i	−0.348393	+	0.937349i	$0.613273\pi$
$908$	−16123.0	−	11523.2i	−0.589272	−	0.421158i
$909$	89250.3	+	36968.7i	3.25659	+	1.34893i
$910$	17902.7	+	2048.26i	0.652163	+	0.0746144i
$911$		−	18795.0i		−	0.683540i	−0.939784	−	0.341770i	$-0.888974\pi$
$911$		−	18795.0i		−	0.683540i	0.939784	−	0.341770i	$-0.111026\pi$
$912$	−54430.2	+	18627.7i	−1.97628	+	0.676342i
$913$			503.705i			0.0182587i
$914$	519.629	−	4541.78i	0.0188050	−	0.164364i
$915$	−5161.70	−	2138.05i	−0.186492	−	0.0772477i
$916$	−8190.37	−	49227.4i	−0.295434	−	1.77567i
$917$	1285.52	+	3103.52i	0.0462940	+	0.111764i
$918$	40070.7	−	72209.6i	1.44066	−	2.59616i
$919$	−6027.61	−	6027.61i	−0.216358	−	0.216358i	0.590604	−	0.806962i	$-0.298890\pi$
$919$	−6027.61	−	6027.61i	−0.216358	−	0.216358i	−0.806962	+	0.590604i	$0.798890\pi$
$920$	−6515.11	+	332.251i	−0.233475	+	0.0119065i
$921$	3009.52	−	3009.52i	0.107673	−	0.107673i
$922$	6622.46	+	23136.2i	0.236550	+	0.826411i
$923$	−58278.4	+	24139.7i	−2.07828	+	0.860853i
$924$	787.434	+	1262.79i	0.0280354	+	0.0449597i
$925$	4889.66	−	11804.7i	0.173807	−	0.419606i
$926$	5636.98	−	4479.54i	0.200046	−	0.158971i
$927$	−12206.9			−0.432500
$928$	−26938.9	−	4815.23i	−0.952925	−	0.170331i
$929$	5213.50			0.184122			0.0920611	−	0.995753i	$-0.470654\pi$
$929$	5213.50			0.184122			0.0920611	+	0.995753i	$0.470654\pi$
$930$	9744.14	−	7743.38i	0.343573	−	0.273027i
$931$	−8920.37	+	21535.7i	−0.314021	+	0.758113i
$932$	−29148.4	+	18175.9i	−1.02445	+	0.638811i
$933$	−45567.1	+	18874.5i	−1.59893	+	0.662297i
$934$	6124.33	+	21395.9i	0.214555	+	0.749568i
$935$	−1128.61	+	1128.61i	−0.0394754	+	0.0394754i
$936$	−76180.0	−	68787.2i	−2.66028	−	2.40211i
$937$	18034.8	+	18034.8i	0.628783	+	0.628783i	0.947762	−	0.318979i	$-0.103340\pi$
$937$	18034.8	+	18034.8i	0.628783	+	0.628783i	−0.318979	+	0.947762i	$0.603340\pi$
$938$	−10661.3	+	19212.3i	−0.371114	+	0.668767i
$939$	−3603.73	−	8700.17i	−0.125243	−	0.302363i
$940$	−282.855	+	47.0610i	−0.00981460	+	0.00163294i
$941$	−1253.64	−	519.275i	−0.0434299	−	0.0179892i	0.360863	−	0.932619i	$-0.382482\pi$
$941$	−1253.64	−	519.275i	−0.0434299	−	0.0179892i	−0.404293	+	0.914630i	$0.632482\pi$
$942$	8989.29	−	78570.3i	0.310920	−	2.71758i
$943$		−	2262.24i		−	0.0781217i
$944$	−19867.3	−	1252.55i	−0.684984	−	0.0431855i
$945$		−	24532.7i		−	0.844497i
$946$	1305.14	+	149.322i	0.0448560	+	0.00513201i
$947$	−25052.1	−	10376.9i	−0.859646	−	0.356077i	−0.0910771	−	0.995844i	$-0.529031\pi$
$947$	−25052.1	−	10376.9i	−0.859646	−	0.356077i	−0.768569	+	0.639767i	$0.779031\pi$
$948$	35990.3	−	50356.6i	1.23303	−	1.72522i
$949$	−10780.2	−	26025.8i	−0.368747	−	0.890234i
$950$	13946.0	+	7738.94i	0.476282	+	0.264299i
$951$	−22535.4	−	22535.4i	−0.768414	−	0.768414i
$952$	−21278.3	−	7568.75i	−0.724405	−	0.257673i
$953$	9648.15	−	9648.15i	0.327948	−	0.327948i	−0.523858	−	0.851806i	$-0.675508\pi$
$953$	9648.15	−	9648.15i	0.327948	−	0.327948i	0.851806	+	0.523858i	$0.175508\pi$
$954$	−3762.55	+	1076.98i	−0.127691	+	0.0365500i
$955$	−12460.1	+	5161.13i	−0.422197	+	0.174880i
$956$	49031.4	+	11368.2i	1.65877	+	0.384597i
$957$	−1062.58	+	2565.30i	−0.0358918	+	0.0866504i
$958$	33560.4	+	42231.9i	1.13183	+	1.42427i
$959$	−6662.17			−0.224330
$960$	30091.0	+	24507.7i	1.01165	+	0.823941i
$961$	−26420.7			−0.886868
$962$	29744.1	+	37429.5i	0.996871	+	1.25445i
$963$	22108.8	−	53375.2i	0.739818	−	1.78608i
$964$	−6198.14	−	1437.08i	−0.207084	−	0.0480137i
$965$	14567.1	−	6033.88i	0.485939	−	0.201283i
$966$	−9004.24	+	2577.35i	−0.299903	+	0.0858437i
$967$	−12684.4	+	12684.4i	−0.421824	+	0.421824i	−0.885831	−	0.464007i	$-0.846411\pi$
$967$	−12684.4	+	12684.4i	−0.421824	+	0.421824i	0.464007	+	0.885831i	$0.346411\pi$
$968$	10063.5	−	28291.8i	0.334145	−	0.939393i
$969$	−62638.1	−	62638.1i	−2.07660	−	2.07660i
$970$	−12617.6	−	7001.77i	−0.417655	−	0.231766i
$971$	−10462.9	−	25259.7i	−0.345799	−	0.834832i	−0.997106	−	0.0760183i	$-0.975779\pi$
$971$	−10462.9	−	25259.7i	−0.345799	−	0.834832i	0.651308	−	0.758814i	$-0.274221\pi$
$972$	−12602.9	+	17633.6i	−0.415882	+	0.581889i
$973$	3865.01	+	1600.94i	0.127345	+	0.0527480i
$974$	−17577.1	−	2011.00i	−0.578239	−	0.0661568i
$975$			41487.6i			1.36274i
$976$	3538.97	−	3119.20i	0.116065	−	0.102298i
$977$		−	60560.6i		−	1.98312i	−0.129654	−	0.991559i	$-0.541387\pi$
$977$		−	60560.6i		−	1.98312i	0.129654	−	0.991559i	$-0.458613\pi$
$978$	−10242.8	+	89526.2i	−0.334895	+	2.92713i
$979$	464.717	+	192.492i	0.0151710	+	0.00628404i
$980$	15511.4	−	2580.76i	0.505605	−	0.0841218i
$981$	8069.62	+	19481.8i	0.262633	+	0.634053i
$982$	−6843.04	+	12331.5i	−0.222373	+	0.400728i
$983$	36767.4	+	36767.4i	1.19298	+	1.19298i	0.976227	+	0.216751i	$0.0695461\pi$
$983$	36767.4	+	36767.4i	1.19298	+	1.19298i	0.216751	+	0.976227i	$0.430454\pi$
$984$	−9019.21	+	9988.55i	−0.292197	+	0.323601i
$985$	−23308.8	+	23308.8i	−0.753989	+	0.753989i
$986$	−11595.8	−	40511.0i	−0.374529	−	1.30845i
$987$	−380.339	+	157.541i	−0.0122658	+	0.00508065i
$988$	−50639.2	+	31576.9i	−1.63061	+	1.01680i
$989$	−3163.81	+	7638.12i	−0.101722	+	0.245579i
$990$	2114.46	−	1680.30i	0.0678807	−	0.0539428i
$991$	−38103.0			−1.22137			−0.610687	−	0.791872i	$-0.709107\pi$
$991$	−38103.0			−1.22137			−0.610687	+	0.791872i	$0.709107\pi$
$992$	2250.49	+	10265.2i	0.0720295	+	0.328548i
$993$	12490.6			0.399173
$994$	18387.4	−	14611.9i	0.586734	−	0.466260i
$995$	−1600.14	+	3863.07i	−0.0509827	+	0.123083i
$996$	9978.47	+	16002.3i	0.317450	+	0.509088i
$997$	967.156	−	400.609i	0.0307223	−	0.0127256i	−0.367269	−	0.930115i	$-0.619707\pi$
$997$	967.156	−	400.609i	0.0307223	−	0.0127256i	0.397992	+	0.917389i	$0.369707\pi$
$998$	8421.66	+	29421.9i	0.267117	+	0.933200i
$999$	46025.3	−	46025.3i	1.45763	−	1.45763i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	32.4.g.a.13.4	yes	44
4.3	odd	2		128.4.g.a.17.1		44
8.3	odd	2		256.4.g.a.33.11		44
8.5	even	2		256.4.g.b.33.1		44
32.5	even	8	inner	32.4.g.a.5.4	✓	44
32.11	odd	8		256.4.g.a.225.11		44
32.21	even	8		256.4.g.b.225.1		44
32.27	odd	8		128.4.g.a.113.1		44

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
32.4.g.a.5.4	✓	44	32.5	even	8	inner
32.4.g.a.13.4	yes	44	1.1	even	1	trivial
128.4.g.a.17.1		44	4.3	odd	2
128.4.g.a.113.1		44	32.27	odd	8
256.4.g.a.33.11		44	8.3	odd	2
256.4.g.a.225.11		44	32.11	odd	8
256.4.g.b.33.1		44	8.5	even	2
256.4.g.b.225.1		44	32.21	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)

\(f(q)\)	\(=\)	\(q+(-1.75970 - 2.21438i) q^{2} +(3.54796 - 8.56554i) q^{3} +(-1.80692 + 7.79327i) q^{4} +(-7.55322 + 3.12865i) q^{5} +(-25.2107 + 7.21625i) q^{6} +(7.16166 - 7.16166i) q^{7} +(20.4369 - 9.71261i) q^{8} +(-41.6886 - 41.6886i) q^{9} +O(q^{10})\)	\(q+(-1.75970 - 2.21438i) q^{2} +(3.54796 - 8.56554i) q^{3} +(-1.80692 + 7.79327i) q^{4} +(-7.55322 + 3.12865i) q^{5} +(-25.2107 + 7.21625i) q^{6} +(7.16166 - 7.16166i) q^{7} +(20.4369 - 9.71261i) q^{8} +(-41.6886 - 41.6886i) q^{9} +(20.2194 + 11.2202i) q^{10} +(0.758120 + 1.83026i) q^{11} +(60.3427 + 43.1275i) q^{12} +(71.0832 + 29.4436i) q^{13} +(-28.4610 - 3.25624i) q^{14} +75.7978i q^{15} +(-57.4701 - 28.1636i) q^{16} -98.5470i q^{17} +(-18.9548 + 165.674i) q^{18} +(89.5748 + 37.1031i) q^{19} +(-10.7343 - 64.5175i) q^{20} +(-35.9342 - 86.7528i) q^{21} +(2.71883 - 4.89948i) q^{22} +(24.9355 + 24.9355i) q^{23} +(-10.6845 - 209.513i) q^{24} +(-41.1256 + 41.1256i) q^{25} +(-59.8858 - 209.217i) q^{26} +(-273.726 + 113.381i) q^{27} +(42.8722 + 68.7533i) q^{28} +(-57.8528 + 139.669i) q^{29} +(167.845 - 133.381i) q^{30} +58.0545 q^{31} +(38.7652 + 176.820i) q^{32} +18.3670 q^{33} +(-218.220 + 173.413i) q^{34} +(-31.6873 + 76.4999i) q^{35} +(400.218 - 249.563i) q^{36} +(-202.968 + 84.0720i) q^{37} +(-75.4645 - 263.643i) q^{38} +(504.401 - 504.401i) q^{39} +(-123.977 + 137.301i) q^{40} +(-45.3618 - 45.3618i) q^{41} +(-128.870 + 232.231i) q^{42} +(89.7175 + 216.597i) q^{43} +(-15.6336 + 2.60110i) q^{44} +(445.312 + 184.454i) q^{45} +(11.3376 - 99.0957i) q^{46} -4.38416i q^{47} +(-445.139 + 392.339i) q^{48} +240.421i q^{49} +(163.436 + 18.6989i) q^{50} +(-844.109 - 349.641i) q^{51} +(-357.904 + 500.768i) q^{52} +(8.98141 + 21.6830i) q^{53} +(732.742 + 406.615i) q^{54} +(-11.4525 - 11.4525i) q^{55} +(76.8035 - 215.920i) q^{56} +(635.616 - 635.616i) q^{57} +(411.083 - 117.668i) q^{58} +(287.366 - 119.031i) q^{59} +(-590.712 - 136.960i) q^{60} +(-28.2072 + 68.0983i) q^{61} +(-102.158 - 128.554i) q^{62} -597.119 q^{63} +(323.331 - 396.990i) q^{64} -629.026 q^{65} +(-32.3204 - 40.6714i) q^{66} +(293.521 - 708.622i) q^{67} +(768.003 + 178.067i) q^{68} +(302.057 - 125.116i) q^{69} +(225.160 - 64.4492i) q^{70} +(-579.730 + 579.730i) q^{71} +(-1256.89 - 447.079i) q^{72} +(-258.894 - 258.894i) q^{73} +(543.329 + 301.505i) q^{74} +(206.351 + 498.176i) q^{75} +(-451.009 + 631.038i) q^{76} +(18.5371 + 7.67833i) q^{77} +(-2004.53 - 229.339i) q^{78} -834.510i q^{79} +(522.198 + 32.9225i) q^{80} +1155.05i q^{81} +(-20.6250 + 180.271i) q^{82} +(234.905 + 97.3009i) q^{83} +(741.018 - 123.289i) q^{84} +(308.319 + 744.347i) q^{85} +(321.752 - 579.814i) q^{86} +(991.082 + 991.082i) q^{87} +(33.2702 + 30.0415i) q^{88} +(179.539 - 179.539i) q^{89} +(-375.164 - 1310.67i) q^{90} +(719.939 - 298.208i) q^{91} +(-239.386 + 149.273i) q^{92} +(205.975 - 497.268i) q^{93} +(-9.70819 + 7.71481i) q^{94} -792.661 q^{95} +(1652.10 + 295.306i) q^{96} -624.033 q^{97} +(532.383 - 423.069i) q^{98} +(44.6962 - 107.906i) 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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