LMFDB - Embedded newform 43.4.e.a.11.4

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [43,4,Mod(4,43)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(43, base_ring=CyclotomicField(14))

chi = DirichletCharacter(H, H._module([4]))

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

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

chi := DirichletCharacter("43.4");

S:= CuspForms(chi, 4);

N := Newforms(S);

Level:	$ N $	$=$	$ 43 $
Weight:	$ k $	$=$	$ 4 $
Character orbit:	$[\chi]$	$=$	43.e (of order $7$, degree $6$, 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:	$2.53708213025$
Analytic rank:	$0$
Dimension:	$60$
Relative dimension:	$10$ over $\Q(\zeta_{7})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label			11.4
Character	$\chi$	$=$	43.11
Dual form			43.4.e.a.4.4

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.976506 - 1.22450i) q^{2} +(-3.38192 + 4.24079i) q^{3} +(1.23433 - 5.40796i) q^{4} +(-7.32010 + 3.52517i) q^{5} +8.49531 q^{6} -30.7370 q^{7} +(-19.1161 + 9.20584i) q^{8} +(-0.538880 - 2.36099i) q^{9} +O(q^{10})$	\(q+(-0.976506 - 1.22450i) q^{2} +(-3.38192 + 4.24079i) q^{3} +(1.23433 - 5.40796i) q^{4} +(-7.32010 + 3.52517i) q^{5} +8.49531 q^{6} -30.7370 q^{7} +(-19.1161 + 9.20584i) q^{8} +(-0.538880 - 2.36099i) q^{9} +(11.4647 + 5.52111i) q^{10} +(-2.01741 - 8.83884i) q^{11} +(18.7596 + 23.5238i) q^{12} +(14.5061 - 6.98577i) q^{13} +(30.0148 + 37.6374i) q^{14} +(9.80646 - 42.9649i) q^{15} +(-10.0421 - 4.83603i) q^{16} +(12.0982 + 5.82619i) q^{17} +(-2.36481 + 2.96538i) q^{18} +(17.0702 - 74.7893i) q^{19} +(10.0286 + 43.9381i) q^{20} +(103.950 - 130.349i) q^{21} +(-8.85314 + 11.1015i) q^{22} +(8.55180 + 37.4679i) q^{23} +(25.6091 - 112.201i) q^{24} +(-36.7792 + 46.1197i) q^{25} +(-22.7194 - 10.9411i) q^{26} +(-120.115 - 57.8441i) q^{27} +(-37.9396 + 166.224i) q^{28} +(156.745 + 196.552i) q^{29} +(-62.1866 + 29.9475i) q^{30} +(-75.2818 - 94.4004i) q^{31} +(41.6548 + 182.502i) q^{32} +(44.3064 + 21.3368i) q^{33} +(-4.67980 - 20.5036i) q^{34} +(224.998 - 108.353i) q^{35} -13.4333 q^{36} -391.816 q^{37} +(-108.249 + 52.1298i) q^{38} +(-19.4333 + 85.1427i) q^{39} +(107.480 - 134.775i) q^{40} +(-211.188 - 264.822i) q^{41} -261.120 q^{42} +(-279.224 - 39.2571i) q^{43} -50.2902 q^{44} +(12.2676 + 15.3830i) q^{45} +(37.5285 - 47.0593i) q^{46} +(-26.7847 + 117.352i) q^{47} +(54.4702 - 26.2315i) q^{48} +601.761 q^{49} +92.3886 q^{50} +(-65.6228 + 31.6023i) q^{51} +(-19.8734 - 87.0712i) q^{52} +(433.266 + 208.650i) q^{53} +(46.4624 + 203.565i) q^{54} +(45.9261 + 57.5895i) q^{55} +(587.571 - 282.959i) q^{56} +(259.436 + 325.322i) q^{57} +(87.6156 - 383.869i) q^{58} +(-322.532 - 155.323i) q^{59} +(-220.248 - 106.066i) q^{60} +(-369.331 + 463.126i) q^{61} +(-42.0801 + 184.365i) q^{62} +(16.5635 + 72.5696i) q^{63} +(127.202 - 159.506i) q^{64} +(-81.5600 + 102.273i) q^{65} +(-17.1385 - 75.0887i) q^{66} +(149.670 - 655.746i) q^{67} +(46.4410 - 58.2352i) q^{68} +(-187.815 - 90.4469i) q^{69} +(-352.390 - 169.702i) q^{70} +(-93.0055 + 407.484i) q^{71} +(32.0362 + 40.1721i) q^{72} +(831.270 - 400.319i) q^{73} +(382.611 + 479.779i) q^{74} +(-71.1996 - 311.946i) q^{75} +(-383.387 - 184.630i) q^{76} +(62.0090 + 271.679i) q^{77} +(123.234 - 59.3463i) q^{78} -107.902 q^{79} +90.5571 q^{80} +(710.433 - 342.127i) q^{81} +(-118.048 + 517.200i) q^{82} +(-625.732 + 784.644i) q^{83} +(-576.614 - 723.051i) q^{84} -109.098 q^{85} +(224.593 + 380.244i) q^{86} -1363.64 q^{87} +(119.934 + 150.392i) q^{88} +(-117.555 + 147.410i) q^{89} +(6.85717 - 30.0432i) q^{90} +(-445.873 + 214.721i) q^{91} +213.181 q^{92} +654.930 q^{93} +(169.853 - 81.7967i) q^{94} +(138.690 + 607.640i) q^{95} +(-914.825 - 440.556i) q^{96} +(-107.153 - 469.467i) q^{97} +(-587.623 - 736.856i) q^{98} +(-19.7812 + 9.52615i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 60 q - 9 q^{2} - 3 q^{3} - 31 q^{4} - 23 q^{5} + 16 q^{6} + 96 q^{7} + 61 q^{8} - 177 q^{9}+O(q^{10}) $ 60 * q - 9 * q^2 - 3 * q^3 - 31 * q^4 - 23 * q^5 + 16 * q^6 + 96 * q^7 + 61 * q^8 - 177 * q^9	\( 60 q - 9 q^{2} - 3 q^{3} - 31 q^{4} - 23 q^{5} + 16 q^{6} + 96 q^{7} + 61 q^{8} - 177 q^{9} - 61 q^{10} + 83 q^{11} + 33 q^{12} + 107 q^{13} - 299 q^{14} + 109 q^{15} + 41 q^{16} + 181 q^{17} - 414 q^{18} + 284 q^{19} - 363 q^{20} - 88 q^{21} + 421 q^{22} + 231 q^{23} - 937 q^{24} + 213 q^{25} + 139 q^{26} - 27 q^{27} + 29 q^{28} - 367 q^{29} + 1244 q^{30} - 319 q^{31} + 435 q^{32} - 2594 q^{33} - 583 q^{34} - 902 q^{35} + 1552 q^{36} + 1020 q^{37} + 1251 q^{38} - 1571 q^{39} + 1263 q^{40} + 293 q^{41} - 1830 q^{42} + 1661 q^{43} + 6512 q^{44} + 1019 q^{45} - 2786 q^{46} - 287 q^{47} - 95 q^{48} + 772 q^{49} - 282 q^{50} + 1524 q^{51} - 1511 q^{52} - 1505 q^{53} - 3489 q^{54} - 1735 q^{55} - 1237 q^{56} + 1055 q^{57} + 335 q^{58} + 571 q^{59} - 101 q^{60} - 339 q^{61} + 923 q^{62} - 702 q^{63} - 5163 q^{64} + 2463 q^{65} + 985 q^{66} - 241 q^{67} + 2904 q^{68} + 2711 q^{69} - 7698 q^{70} - 2431 q^{71} - 4340 q^{72} - 2157 q^{73} - 1294 q^{74} - 242 q^{75} - 4272 q^{76} - 3962 q^{77} - 2860 q^{78} + 1092 q^{79} + 11618 q^{80} + 12060 q^{81} + 4023 q^{82} - 2664 q^{83} + 3334 q^{84} - 3446 q^{85} + 10055 q^{86} + 11874 q^{87} + 9957 q^{88} - 5811 q^{89} - 1612 q^{90} - 760 q^{91} + 2120 q^{92} + 3994 q^{93} + 6057 q^{94} + 379 q^{95} - 2044 q^{96} - 5509 q^{97} - 9041 q^{98} - 2012 q^{99}+O(q^{100}) \) 60 * q - 9 * q^2 - 3 * q^3 - 31 * q^4 - 23 * q^5 + 16 * q^6 + 96 * q^7 + 61 * q^8 - 177 * q^9 - 61 * q^10 + 83 * q^11 + 33 * q^12 + 107 * q^13 - 299 * q^14 + 109 * q^15 + 41 * q^16 + 181 * q^17 - 414 * q^18 + 284 * q^19 - 363 * q^20 - 88 * q^21 + 421 * q^22 + 231 * q^23 - 937 * q^24 + 213 * q^25 + 139 * q^26 - 27 * q^27 + 29 * q^28 - 367 * q^29 + 1244 * q^30 - 319 * q^31 + 435 * q^32 - 2594 * q^33 - 583 * q^34 - 902 * q^35 + 1552 * q^36 + 1020 * q^37 + 1251 * q^38 - 1571 * q^39 + 1263 * q^40 + 293 * q^41 - 1830 * q^42 + 1661 * q^43 + 6512 * q^44 + 1019 * q^45 - 2786 * q^46 - 287 * q^47 - 95 * q^48 + 772 * q^49 - 282 * q^50 + 1524 * q^51 - 1511 * q^52 - 1505 * q^53 - 3489 * q^54 - 1735 * q^55 - 1237 * q^56 + 1055 * q^57 + 335 * q^58 + 571 * q^59 - 101 * q^60 - 339 * q^61 + 923 * q^62 - 702 * q^63 - 5163 * q^64 + 2463 * q^65 + 985 * q^66 - 241 * q^67 + 2904 * q^68 + 2711 * q^69 - 7698 * q^70 - 2431 * q^71 - 4340 * q^72 - 2157 * q^73 - 1294 * q^74 - 242 * q^75 - 4272 * q^76 - 3962 * q^77 - 2860 * q^78 + 1092 * q^79 + 11618 * q^80 + 12060 * q^81 + 4023 * q^82 - 2664 * q^83 + 3334 * q^84 - 3446 * q^85 + 10055 * q^86 + 11874 * q^87 + 9957 * q^88 - 5811 * q^89 - 1612 * q^90 - 760 * q^91 + 2120 * q^92 + 3994 * q^93 + 6057 * q^94 + 379 * q^95 - 2044 * q^96 - 5509 * q^97 - 9041 * q^98 - 2012 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/43\mathbb{Z}\right)^\times$.

$n$	$3$
$\chi(n)$	$e\left(\frac{5}{7}\right)$

Coefficient data

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

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

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

$2$	−0.976506	−	1.22450i	−0.345247	−	0.432926i	0.578645	−	0.815580i	$-0.303582\pi$
$2$	−0.976506	−	1.22450i	−0.345247	−	0.432926i	−0.923892	+	0.382654i	$0.875010\pi$
$3$	−3.38192	+	4.24079i	−0.650851	+	0.816141i	−0.992313	−	0.123755i	$-0.960506\pi$
$3$	−3.38192	+	4.24079i	−0.650851	+	0.816141i	0.341462	+	0.939896i	$0.389078\pi$
$4$	1.23433	−	5.40796i	0.154291	−	0.675995i
$5$	−7.32010	+	3.52517i	−0.654730	+	0.315301i	−0.731594	−	0.681740i	$-0.761223\pi$
$5$	−7.32010	+	3.52517i	−0.654730	+	0.315301i	0.0768645	+	0.997042i	$0.475509\pi$
$6$	8.49531			0.578033
$7$	−30.7370			−1.65964			−0.829820	−	0.558031i	$-0.811557\pi$
$7$	−30.7370			−1.65964			−0.829820	+	0.558031i	$0.811557\pi$
$8$	−19.1161	+	9.20584i	−0.844821	+	0.406844i
$9$	−0.538880	−	2.36099i	−0.0199585	−	0.0874440i
$10$	11.4647	+	5.52111i	0.362546	+	0.174593i
$11$	−2.01741	−	8.83884i	−0.0552974	−	0.242274i	0.939724	−	0.341933i	$-0.111082\pi$
$11$	−2.01741	−	8.83884i	−0.0552974	−	0.242274i	−0.995022	+	0.0996598i	$0.968225\pi$
$12$	18.7596	+	23.5238i	0.451287	+	0.565895i
$13$	14.5061	−	6.98577i	0.309482	−	0.149039i	−0.272695	−	0.962100i	$-0.587915\pi$
$13$	14.5061	−	6.98577i	0.309482	−	0.149039i	0.582178	+	0.813062i	$0.302201\pi$
$14$	30.0148	+	37.6374i	0.572986	+	0.718501i
$15$	9.80646	−	42.9649i	0.168801	−	0.739566i
$16$	−10.0421	−	4.83603i	−0.156908	−	0.0755629i
$17$	12.0982	+	5.82619i	0.172603	+	0.0831211i	0.518190	−	0.855266i	$-0.326606\pi$
$17$	12.0982	+	5.82619i	0.172603	+	0.0831211i	−0.345587	+	0.938387i	$0.612320\pi$
$18$	−2.36481	+	2.96538i	−0.0309662	+	0.0388303i
$19$	17.0702	−	74.7893i	0.206114	−	0.903044i	−0.761010	−	0.648740i	$-0.775296\pi$
$19$	17.0702	−	74.7893i	0.206114	−	0.903044i	0.967124	−	0.254304i	$-0.0818465\pi$
$20$	10.0286	+	43.9381i	0.112123	+	0.491242i
$21$	103.950	−	130.349i	1.08018	−	1.35450i
$22$	−8.85314	+	11.1015i	−0.0857953	+	0.107584i
$23$	8.55180	+	37.4679i	0.0775293	+	0.339678i	0.998785	−	0.0492794i	$-0.0156925\pi$
$23$	8.55180	+	37.4679i	0.0775293	+	0.339678i	−0.921256	+	0.388957i	$0.872835\pi$
$24$	25.6091	−	112.201i	0.217810	−	0.954288i
$25$	−36.7792	+	46.1197i	−0.294234	+	0.368957i
$26$	−22.7194	−	10.9411i	−0.171370	−	0.0825277i
$27$	−120.115	−	57.8441i	−0.856150	−	0.412300i
$28$	−37.9396	+	166.224i	−0.256068	+	1.12191i
$29$	156.745	+	196.552i	1.00369	+	1.25858i	0.965797	+	0.259299i	$0.0834916\pi$
$29$	156.745	+	196.552i	1.00369	+	1.25858i	0.0378881	+	0.999282i	$0.487937\pi$
$30$	−62.1866	+	29.9475i	−0.378455	+	0.182254i
$31$	−75.2818	−	94.4004i	−0.436162	−	0.546930i	0.514365	−	0.857571i	$-0.328028\pi$
$31$	−75.2818	−	94.4004i	−0.436162	−	0.546930i	−0.950527	+	0.310642i	$0.899456\pi$
$32$	41.6548	+	182.502i	0.230112	+	1.00819i
$33$	44.3064	+	21.3368i	0.233720	+	0.112553i
$34$	−4.67980	−	20.5036i	−0.0236053	−	0.103421i
$35$	224.998	−	108.353i	1.08662	−	0.523286i
$36$	−13.4333			−0.0621911
$37$	−391.816			−1.74092			−0.870462	−	0.492235i	$-0.836180\pi$
$37$	−391.816			−1.74092			−0.870462	+	0.492235i	$0.836180\pi$
$38$	−108.249	+	52.1298i	−0.462111	+	0.222541i
$39$	−19.4333	+	85.1427i	−0.0797900	+	0.349583i
$40$	107.480	−	134.775i	0.424851	−	0.532746i
$41$	−211.188	−	264.822i	−0.804441	−	1.00874i	−0.999609	−	0.0279676i	$-0.991096\pi$
$41$	−211.188	−	264.822i	−0.804441	−	1.00874i	0.195167	−	0.980770i	$-0.437475\pi$
$42$	−261.120			−0.959327
$43$	−279.224	−	39.2571i	−0.990261	−	0.139225i
$43$	−279.224	−	39.2571i	−0.990261	−	0.139225i
$44$	−50.2902			−0.172308
$45$	12.2676	+	15.3830i	0.0406386	+	0.0509592i
$46$	37.5285	−	47.0593i	0.120289	−	0.150837i
$47$	−26.7847	+	117.352i	−0.0831267	+	0.364202i	−0.999334	−	0.0365038i	$-0.988378\pi$
$47$	−26.7847	+	117.352i	−0.0831267	+	0.364202i	0.916207	+	0.400706i	$0.131235\pi$
$48$	54.4702	−	26.2315i	0.163794	−	0.0788789i
$49$	601.761			1.75440
$50$	92.3886			0.261315
$51$	−65.6228	+	31.6023i	−0.180177	+	0.0867687i
$52$	−19.8734	−	87.0712i	−0.0529990	−	0.232204i
$53$	433.266	+	208.650i	1.12290	+	0.540760i	0.900787	−	0.434261i	$-0.142990\pi$
$53$	433.266	+	208.650i	1.12290	+	0.540760i	0.222113	+	0.975021i	$0.428705\pi$
$54$	46.4624	+	203.565i	0.117088	+	0.512995i
$55$	45.9261	+	57.5895i	0.112594	+	0.141188i
$56$	587.571	−	282.959i	1.40210	−	0.675215i
$57$	259.436	+	325.322i	0.602862	+	0.755965i
$58$	87.6156	−	383.869i	0.198353	−	0.869043i
$59$	−322.532	−	155.323i	−0.711696	−	0.342735i	0.0427602	−	0.999085i	$-0.486385\pi$
$59$	−322.532	−	155.323i	−0.711696	−	0.342735i	−0.754456	+	0.656351i	$0.772099\pi$
$60$	−220.248	−	106.066i	−0.473898	−	0.228217i
$61$	−369.331	+	463.126i	−0.775212	+	0.972085i	−0.999997	−	0.00232292i	$-0.999261\pi$
$61$	−369.331	+	463.126i	−0.775212	+	0.972085i	0.224785	+	0.974408i	$0.427832\pi$
$62$	−42.0801	+	184.365i	−0.0861965	+	0.377652i
$63$	16.5635	+	72.5696i	0.0331240	+	0.145126i
$64$	127.202	−	159.506i	0.248442	−	0.311536i
$65$	−81.5600	+	102.273i	−0.155635	+	0.195160i
$66$	−17.1385	−	75.0887i	−0.0319637	−	0.140042i
$67$	149.670	−	655.746i	0.272912	−	1.19570i	−0.633647	−	0.773623i	$-0.718443\pi$
$67$	149.670	−	655.746i	0.272912	−	1.19570i	0.906558	−	0.422081i	$-0.138700\pi$
$68$	46.4410	−	58.2352i	0.0828205	−	0.103854i
$69$	−187.815	−	90.4469i	−0.327685	−	0.157805i
$70$	−352.390	−	169.702i	−0.601695	−	0.289761i
$71$	−93.0055	+	407.484i	−0.155461	+	0.681119i	0.835781	+	0.549063i	$0.185015\pi$
$71$	−93.0055	+	407.484i	−0.155461	+	0.681119i	−0.991242	+	0.132056i	$0.957842\pi$
$72$	32.0362	+	40.1721i	0.0524375	+	0.0657545i
$73$	831.270	−	400.319i	1.33278	−	0.641832i	0.374382	−	0.927275i	$-0.377855\pi$
$73$	831.270	−	400.319i	1.33278	−	0.641832i	0.958396	+	0.285442i	$0.0921405\pi$
$74$	382.611	+	479.779i	0.601049	+	0.753692i
$75$	−71.1996	−	311.946i	−0.109619	−	0.480272i
$76$	−383.387	−	184.630i	−0.578652	−	0.278664i
$77$	62.0090	+	271.679i	0.0917737	+	0.402087i
$78$	123.234	−	59.3463i	0.178891	−	0.0861493i
$79$	−107.902			−0.153670			−0.0768350	−	0.997044i	$-0.524481\pi$
$79$	−107.902			−0.153670			−0.0768350	+	0.997044i	$0.524481\pi$
$80$	90.5571			0.126557
$81$	710.433	−	342.127i	0.974531	−	0.469309i
$82$	−118.048	+	517.200i	−0.158978	+	0.696527i
$83$	−625.732	+	784.644i	−0.827507	+	1.03766i	0.171119	+	0.985250i	$0.445262\pi$
$83$	−625.732	+	784.644i	−0.827507	+	1.03766i	−0.998626	+	0.0524102i	$0.983310\pi$
$84$	−576.614	−	723.051i	−0.748973	−	0.939183i
$85$	−109.098			−0.139216
$86$	224.593	+	380.244i	0.281611	+	0.476777i
$87$	−1363.64			−1.68043
$88$	119.934	+	150.392i	0.145284	+	0.182180i
$89$	−117.555	+	147.410i	−0.140009	+	0.175566i	−0.846892	−	0.531764i	$-0.821529\pi$
$89$	−117.555	+	147.410i	−0.140009	+	0.175566i	0.706883	+	0.707330i	$0.250101\pi$
$90$	6.85717	−	30.0432i	0.00803121	−	0.0351870i
$91$	−445.873	+	214.721i	−0.513629	+	0.247351i
$92$	213.181			0.241583
$93$	654.930			0.730248
$94$	169.853	−	81.7967i	0.186372	−	0.0897519i
$95$	138.690	+	607.640i	0.149782	+	0.656238i
$96$	−914.825	−	440.556i	−0.972593	−	0.468376i
$97$	−107.153	−	469.467i	−0.112162	−	0.491414i	−0.999539	−	0.0303687i	$-0.990332\pi$
$97$	−107.153	−	469.467i	−0.112162	−	0.491414i	0.887377	−	0.461045i	$-0.152525\pi$
$98$	−587.623	−	736.856i	−0.605703	−	0.759527i
$99$	−19.7812	+	9.52615i	−0.0200817	+	0.00967084i
$100$	204.016	+	255.827i	0.204016	+	0.255827i
$101$	304.920	−	1335.94i	0.300403	−	1.31615i	−0.569118	−	0.822256i	$-0.692715\pi$
$101$	304.920	−	1335.94i	0.300403	−	1.31615i	0.869521	−	0.493896i	$-0.164428\pi$
$102$	102.778	+	49.4953i	0.0997700	+	0.0480467i
$103$	741.673	+	357.171i	0.709507	+	0.341681i	0.753588	−	0.657347i	$-0.228322\pi$
$103$	741.673	+	357.171i	0.709507	+	0.341681i	−0.0440805	+	0.999028i	$0.514036\pi$
$104$	−212.990	+	267.081i	−0.200821	+	0.251822i
$105$	−301.421	+	1320.61i	−0.280149	+	1.22741i
$106$	−167.595	−	734.283i	−0.153569	−	0.672829i
$107$	−1207.26	+	1513.86i	−1.09075	+	1.36776i	−0.166468	+	0.986047i	$0.553236\pi$
$107$	−1207.26	+	1513.86i	−1.09075	+	1.36776i	−0.924282	+	0.381710i	$0.875335\pi$
$108$	−461.080	+	578.176i	−0.410809	+	0.515139i
$109$	392.896	+	1721.39i	0.345253	+	1.51265i	0.787813	+	0.615914i	$0.211213\pi$
$109$	392.896	+	1721.39i	0.345253	+	1.51265i	−0.442560	+	0.896739i	$0.645930\pi$
$110$	25.6712	−	112.473i	0.0222514	−	0.0974897i
$111$	1325.09	−	1661.61i	1.13308	−	1.42084i
$112$	308.664	+	148.645i	0.260411	+	0.125407i
$113$	−1743.63	−	839.689i	−1.45157	−	0.699038i	−0.468701	−	0.883357i	$-0.655278\pi$
$113$	−1743.63	−	839.689i	−1.45157	−	0.699038i	−0.982867	+	0.184319i	$0.940992\pi$
$114$	145.016	−	635.358i	0.119141	−	0.521989i
$115$	−194.681	−	244.122i	−0.157862	−	0.197952i
$116$	1256.42	−	605.062i	1.00565	−	0.484298i
$117$	−24.3104	−	30.4842i	−0.0192093	−	0.0240878i
$118$	124.761	+	546.614i	0.0973321	+	0.426440i
$119$	−371.862	−	179.079i	−0.286458	−	0.137951i
$120$	208.066	+	911.598i	0.158281	+	0.693476i
$121$	1125.13	−	541.836i	0.845330	−	0.407090i
$122$	927.751			0.688481
$123$	1837.28			1.34684
$124$	−603.437	+	290.600i	−0.437018	+	0.210457i
$125$	332.637	−	1457.38i	0.238016	−	1.04281i
$126$	72.6871	−	91.1467i	0.0513927	−	0.0644444i
$127$	135.201	+	169.537i	0.0944657	+	0.118456i	0.826818	−	0.562470i	$-0.190149\pi$
$127$	135.201	+	169.537i	0.0944657	+	0.118456i	−0.732352	+	0.680926i	$0.761577\pi$
$128$	1178.03			0.813470
$129$	1110.79	−	1051.37i	0.758139	−	0.717578i
$130$	204.877			0.138222
$131$	−392.515	−	492.198i	−0.261788	−	0.328271i	0.633514	−	0.773731i	$-0.281612\pi$
$131$	−392.515	−	492.198i	−0.261788	−	0.328271i	−0.895302	+	0.445460i	$0.853040\pi$
$132$	170.078	−	213.270i	0.112147	−	0.140627i
$133$	−524.685	+	2298.79i	−0.342075	+	1.49873i
$134$	−949.114	+	457.069i	−0.611873	+	0.294663i
$135$	1083.16			0.690545
$136$	−284.906			−0.179636
$137$	1621.18	−	780.720i	1.01100	−	0.486872i	0.146342	−	0.989234i	$-0.453250\pi$
$137$	1621.18	−	780.720i	1.01100	−	0.486872i	0.864657	+	0.502362i	$0.167536\pi$
$138$	72.6502	+	318.301i	0.0448145	+	0.196345i
$139$	−1229.22	−	591.960i	−0.750078	−	0.361218i	0.0194676	−	0.999810i	$-0.493803\pi$
$139$	−1229.22	−	591.960i	−0.750078	−	0.361218i	−0.769545	+	0.638592i	$0.779517\pi$
$140$	−308.248	−	1350.52i	−0.186084	−	0.815285i
$141$	−407.080	−	510.462i	−0.243137	−	0.304884i
$142$	589.784	−	284.025i	0.348547	−	0.167851i
$143$	−91.0108	−	114.124i	−0.0532217	−	0.0667379i
$144$	−6.00631	+	26.3154i	−0.00347587	+	0.0152288i
$145$	−1840.27	−	886.229i	−1.05397	−	0.507567i
$146$	−1301.93	−	626.976i	−0.738003	−	0.355404i
$147$	−2035.11	+	2551.94i	−1.14186	+	1.43184i
$148$	−483.631	+	2118.93i	−0.268610	+	1.17686i
$149$	13.5978	+	59.5759i	0.00747635	+	0.0327561i	0.978529	−	0.206112i	$-0.0660810\pi$
$149$	13.5978	+	59.5759i	0.00747635	+	0.0327561i	−0.971052	+	0.238868i	$0.923224\pi$
$150$	−312.451	+	391.801i	−0.170077	+	0.213269i
$151$	1242.01	−	1557.43i	0.669358	−	0.839349i	−0.324968	−	0.945725i	$-0.605353\pi$
$151$	1242.01	−	1557.43i	0.669358	−	0.839349i	0.994326	+	0.106376i	$0.0339248\pi$
$152$	362.183	+	1586.83i	0.193269	+	0.846767i
$153$	7.23608	−	31.7033i	0.00382354	−	0.0167520i
$154$	272.119	−	341.226i	0.142389	−	0.178551i
$155$	883.849	+	425.639i	0.458016	+	0.220569i
$156$	436.461	+	210.189i	0.224005	+	0.107875i
$157$	−115.047	+	504.054i	−0.0584825	+	0.256228i	−0.995715	−	0.0924771i	$-0.970522\pi$
$157$	−115.047	+	504.054i	−0.0584825	+	0.256228i	0.937232	+	0.348706i	$0.113379\pi$
$158$	105.367	+	132.126i	0.0530541	+	0.0665278i
$159$	−2350.11	+	1131.76i	−1.17218	+	0.564491i
$160$	−948.267	−	1189.09i	−0.468544	−	0.587536i
$161$	−262.856	−	1151.65i	−0.128671	−	0.563743i
$162$	−1112.68	−	535.837i	−0.539630	−	0.259872i
$163$	−345.011	−	1511.59i	−0.165787	−	0.726362i	−0.987650	−	0.156676i	$-0.949922\pi$
$163$	−345.011	−	1511.59i	−0.165787	−	0.726362i	0.821863	−	0.569686i	$-0.192935\pi$
$164$	−1692.82	+	815.221i	−0.806020	+	0.388159i
$165$	−399.543			−0.188512
$166$	1571.83			0.734924
$167$	2383.15	−	1147.66i	1.10427	−	0.531790i	0.209273	−	0.977857i	$-0.432890\pi$
$167$	2383.15	−	1147.66i	1.10427	−	0.531790i	0.894999	+	0.446068i	$0.147176\pi$
$168$	−787.147	+	3448.71i	−0.361486	+	1.58377i
$169$	−1208.18	+	1515.01i	−0.549923	+	0.689582i
$170$	106.535	+	133.591i	0.0480640	+	0.0602703i
$171$	−185.775			−0.0830795
$172$	−556.956	+	1461.57i	−0.246904	+	0.647930i
$173$	−2035.37			−0.894488			−0.447244	−	0.894412i	$-0.647594\pi$
$173$	−2035.37			−0.894488			−0.447244	+	0.894412i	$0.647594\pi$
$174$	1331.60	+	1669.77i	0.580163	+	0.727501i
$175$	1130.48	−	1417.58i	0.488322	−	0.612336i
$176$	−22.4858	+	98.5168i	−0.00963030	+	0.0421931i
$177$	1749.47	−	842.500i	0.742927	−	0.357775i
$178$	295.297			0.124345
$179$	−3581.88			−1.49566			−0.747828	−	0.663893i	$-0.768903\pi$
$179$	−3581.88			−1.49566			−0.747828	+	0.663893i	$0.768903\pi$
$180$	98.3330	−	47.3547i	0.0407184	−	0.0196089i
$181$	−31.7198	−	138.973i	−0.0130260	−	0.0570707i	0.967997	−	0.250961i	$-0.0807466\pi$
$181$	−31.7198	−	138.973i	−0.0130260	−	0.0570707i	−0.981023	+	0.193890i	$0.937889\pi$
$182$	698.324	+	336.295i	0.284413	+	0.136966i
$183$	−714.975	−	3132.51i	−0.288811	−	1.26537i
$184$	−508.400	−	637.514i	−0.203694	−	0.255425i
$185$	2868.14	−	1381.22i	1.13984	−	0.548916i
$186$	−639.543	−	801.961i	−0.252116	−	0.316143i
$187$	27.0897	−	118.688i	0.0105936	−	0.0464134i
$188$	601.572	+	289.702i	0.233373	+	0.112387i
$189$	3691.95	+	1777.95i	1.42090	+	0.684270i
$190$	608.624	−	763.190i	0.232391	−	0.291409i
$191$	−136.616	+	598.555i	−0.0517550	+	0.226754i	−0.994191	−	0.107634i	$-0.965672\pi$
$191$	−136.616	+	598.555i	−0.0517550	+	0.226754i	0.942436	+	0.334388i	$0.108530\pi$
$192$	246.246	+	1078.88i	0.0925588	+	0.405527i
$193$	−156.872	+	196.711i	−0.0585071	+	0.0733656i	−0.810224	−	0.586120i	$-0.800655\pi$
$193$	−156.872	+	196.711i	−0.0585071	+	0.0733656i	0.751717	+	0.659486i	$0.229226\pi$
$194$	−470.226	+	589.645i	−0.174022	+	0.218217i
$195$	−157.889	−	691.758i	−0.0579830	−	0.254040i
$196$	742.772	−	3254.30i	0.270690	−	1.18597i
$197$	−1275.72	+	1599.70i	−0.461377	+	0.578549i	−0.957036	−	0.289969i	$-0.906355\pi$
$197$	−1275.72	+	1599.70i	−0.461377	+	0.578549i	0.495659	+	0.868517i	$0.334927\pi$
$198$	30.9813	+	14.9198i	0.0111199	+	0.00535507i
$199$	−543.233	−	261.607i	−0.193512	−	0.0931902i	0.334619	−	0.942354i	$-0.391392\pi$
$199$	−543.233	−	261.607i	−0.193512	−	0.0931902i	−0.528130	+	0.849163i	$0.677107\pi$
$200$	278.505	−	1220.21i	0.0984665	−	0.431410i
$201$	2274.71	+	2852.40i	0.798238	+	1.00096i
$202$	−1933.62	+	931.181i	−0.673509	+	0.324345i
$203$	−4817.87	−	6041.42i	−1.66576	−	2.08879i
$204$	89.9036	+	393.893i	0.0308554	+	0.135186i
$205$	2479.46	+	1194.05i	0.844748	+	0.406809i
$206$	−286.893	−	1256.96i	−0.0970328	−	0.425128i
$207$	83.8528	−	40.3814i	0.0281554	−	0.0135589i
$208$	−179.455			−0.0598220
$209$	−695.488			−0.230181
$210$	1911.43	−	920.494i	0.628100	−	0.302477i
$211$	−967.879	+	4240.56i	−0.315789	+	1.38356i	0.529071	+	0.848577i	$0.322540\pi$
$211$	−967.879	+	4240.56i	−0.315789	+	1.38356i	−0.844861	+	0.534986i	$0.820317\pi$
$212$	1663.17	−	2085.54i	0.538805	−	0.675640i
$213$	−1413.52	−	1772.49i	−0.454707	−	0.570185i
$214$	3032.61			0.968716
$215$	2182.33	−	696.946i	0.692251	−	0.221076i
$216$	2828.63			0.891035
$217$	2313.93	+	2901.58i	0.723872	+	0.907706i
$218$	1724.18	−	2162.05i	0.535669	−	0.671708i
$219$	−1113.62	+	4879.09i	−0.343614	+	1.50547i
$220$	368.130	−	177.282i	0.112815	−	0.0543288i
$221$	216.198			0.0658057
$222$	−3328.60			−1.00631
$223$	2130.56	−	1026.03i	0.639790	−	0.308107i	−0.0857191	−	0.996319i	$-0.527319\pi$
$223$	2130.56	−	1026.03i	0.639790	−	0.308107i	0.725509	+	0.688213i	$0.241604\pi$
$224$	−1280.34	−	5609.54i	−0.381904	−	1.67323i
$225$	128.708	+	61.9823i	0.0381356	+	0.0183651i
$226$	674.468	+	2955.04i	0.198518	+	0.869762i
$227$	4122.81	+	5169.84i	1.20546	+	1.51160i	0.802792	+	0.596260i	$0.203347\pi$
$227$	4122.81	+	5169.84i	1.20546	+	1.51160i	0.402672	+	0.915344i	$0.368081\pi$
$228$	2079.56	−	1001.46i	0.604045	−	0.290893i
$229$	1350.29	+	1693.21i	0.389650	+	0.488606i	0.937507	−	0.347966i	$-0.113128\pi$
$229$	1350.29	+	1693.21i	0.389650	+	0.488606i	−0.547857	+	0.836572i	$0.684556\pi$
$230$	−108.820	+	476.773i	−0.0311974	+	0.136685i
$231$	−1361.84	−	655.829i	−0.387891	−	0.186798i
$232$	−4805.79	−	2314.35i	−1.35998	−	0.654932i
$233$	−1601.67	+	2008.43i	−0.450338	+	0.564706i	−0.954235	−	0.299058i	$-0.903328\pi$
$233$	−1601.67	+	2008.43i	−0.450338	+	0.564706i	0.503897	+	0.863764i	$0.331899\pi$
$234$	−13.5887	+	59.5361i	−0.00379625	+	0.0166325i
$235$	−217.618	−	953.447i	−0.0604078	−	0.264664i
$236$	−1238.09	+	1552.52i	−0.341495	+	0.428222i
$237$	364.916	−	457.590i	0.100016	−	0.125416i
$238$	143.843	+	630.217i	0.0391763	+	0.171642i
$239$	−211.945	+	928.592i	−0.0573623	+	0.251321i	−0.995477	−	0.0950046i	$-0.969713\pi$
$239$	−211.945	+	928.592i	−0.0573623	+	0.251321i	0.938115	+	0.346325i	$0.112571\pi$
$240$	−306.257	+	384.034i	−0.0823700	+	0.103289i
$241$	−2483.93	−	1196.20i	−0.663917	−	0.319726i	0.0714012	−	0.997448i	$-0.477253\pi$
$241$	−2483.93	−	1196.20i	−0.663917	−	0.319726i	−0.735318	+	0.677722i	$0.762967\pi$
$242$	−1762.18	−	848.621i	−0.468087	−	0.225419i
$243$	−150.762	+	660.533i	−0.0398001	+	0.174375i
$244$	2048.69	+	2568.98i	0.537516	+	0.674024i
$245$	−4404.95	+	2121.31i	−1.14866	+	0.553166i
$246$	−1794.11	−	2249.75i	−0.464994	−	0.583084i
$247$	−274.839	−	1204.15i	−0.0708000	−	0.310195i
$248$	2308.13	+	1111.54i	0.590994	+	0.284608i
$249$	−1211.33	−	5307.20i	−0.308294	−	1.35072i
$250$	−2109.38	+	1015.82i	−0.533636	+	0.256986i
$251$	−725.383			−0.182413			−0.0912067	−	0.995832i	$-0.529072\pi$
$251$	−725.383			−0.182413			−0.0912067	+	0.995832i	$0.529072\pi$
$252$	412.898			0.103215
$253$	313.920	−	151.176i	0.0780078	−	0.0375666i
$254$	75.5731	−	331.107i	0.0186688	−	0.0817934i
$255$	368.962	−	462.664i	0.0906090	−	0.113620i
$256$	−2167.97	−	2718.55i	−0.529290	−	0.663708i
$257$	−3866.44			−0.938452			−0.469226	−	0.883078i	$-0.655467\pi$
$257$	−3866.44			−0.938452			−0.469226	+	0.883078i	$0.655467\pi$
$258$	−2372.09	−	333.502i	−0.572403	−	0.0804764i
$259$	12043.2			2.88931
$260$	452.416	+	567.312i	0.107914	+	0.135320i
$261$	379.591	−	475.992i	0.0900233	−	0.112886i
$262$	−219.403	+	961.269i	−0.0517358	+	0.226669i
$263$	−1149.38	+	553.513i	−0.269483	+	0.129776i	−0.563746	−	0.825948i	$-0.690640\pi$
$263$	−1149.38	+	553.513i	−0.269483	+	0.129776i	0.294263	+	0.955725i	$0.404926\pi$
$264$	−1043.39			−0.243243
$265$	−3907.08			−0.905699
$266$	3327.23	−	1602.31i	0.766939	−	0.369338i
$267$	−227.571	−	997.056i	−0.0521616	−	0.228535i
$268$	−3361.51	−	1618.82i	−0.766182	−	0.368974i
$269$	156.293	+	684.764i	0.0354251	+	0.155207i	0.989547	−	0.144211i	$-0.0460645\pi$
$269$	156.293	+	684.764i	0.0354251	+	0.155207i	−0.954122	+	0.299419i	$0.903207\pi$
$270$	−1057.71	−	1326.33i	−0.238409	−	0.298955i
$271$	−5776.87	+	2781.99i	−1.29491	+	0.623594i	−0.949178	−	0.314740i	$-0.898083\pi$
$271$	−5776.87	+	2781.99i	−1.29491	+	0.623594i	−0.345729	+	0.938335i	$0.612368\pi$
$272$	−93.3159	−	117.014i	−0.0208019	−	0.0260847i
$273$	597.319	−	2617.03i	0.132423	−	0.580182i
$274$	−2539.09	−	1222.76i	−0.559824	−	0.269597i
$275$	481.843	+	232.043i	0.105659	+	0.0508827i
$276$	−720.960	+	904.055i	−0.157234	+	0.197166i
$277$	−464.882	+	2036.78i	−0.100838	+	0.441799i	0.899154	+	0.437633i	$0.144183\pi$
$277$	−464.882	+	2036.78i	−0.100838	+	0.441799i	−0.999991	+	0.00416584i	$0.998674\pi$
$278$	475.483	+	2083.23i	0.102581	+	0.449438i
$279$	−182.310	+	228.610i	−0.0391206	+	0.0490556i
$280$	−3303.60	+	4142.58i	−0.705099	+	0.884167i
$281$	754.488	+	3305.63i	0.160174	+	0.701769i	0.989683	+	0.143275i	$0.0457635\pi$
$281$	754.488	+	3305.63i	0.160174	+	0.701769i	−0.829509	+	0.558494i	$0.811379\pi$
$282$	−227.545	+	996.939i	−0.0480500	+	0.210521i
$283$	4262.75	−	5345.32i	0.895386	−	1.12278i	−0.0964599	−	0.995337i	$-0.530752\pi$
$283$	4262.75	−	5345.32i	0.895386	−	1.12278i	0.991846	−	0.127442i	$-0.0406766\pi$
$284$	2088.86	+	1005.94i	0.436447	+	0.210182i
$285$	−3045.91	−	1466.84i	−0.633068	−	0.304870i
$286$	−50.8721	+	222.885i	−0.0105179	+	0.0460821i
$287$	6491.29	+	8139.82i	1.33508	+	1.67414i
$288$	408.437	−	196.693i	0.0835673	−	0.0402439i
$289$	−2950.78	−	3700.17i	−0.600607	−	0.753138i
$290$	711.851	+	3118.82i	0.144142	+	0.631529i
$291$	2353.29	+	1133.29i	0.474063	+	0.228297i
$292$	−1138.84	−	4989.60i	−0.228239	−	0.999981i
$293$	−6139.73	+	2956.74i	−1.22419	+	0.589538i	−0.930475	−	0.366356i	$-0.880605\pi$
$293$	−6139.73	+	2956.74i	−1.22419	+	0.589538i	−0.293713	+	0.955894i	$0.594891\pi$
$294$	5112.15			1.01410
$295$	2908.51			0.574033
$296$	7490.01	−	3607.00i	1.47077	−	0.708285i
$297$	−268.955	+	1178.37i	−0.0525466	+	0.230222i
$298$	59.6724	−	74.8268i	0.0115998	−	0.0145456i
$299$	385.795	+	483.772i	0.0746191	+	0.0935694i
$300$	−1774.88			−0.341575
$301$	8582.49	+	1206.64i	1.64348	+	0.231063i
$302$	−3119.90			−0.594470
$303$	4634.24	+	5811.15i	0.878648	+	1.10179i
$304$	−533.104	+	668.491i	−0.100578	+	0.126120i
$305$	1070.94	−	4692.08i	0.201055	−	0.880879i
$306$	−45.8868	+	22.0979i	−0.00857246	+	0.00412828i
$307$	1604.28			0.298244			0.149122	−	0.988819i	$-0.452355\pi$
$307$	1604.28			0.298244			0.149122	+	0.988819i	$0.452355\pi$
$308$	1545.77			0.285969
$309$	−4022.97	+	1937.36i	−0.740643	+	0.356675i
$310$	−341.889	−	1497.91i	−0.0626386	−	0.274438i
$311$	2088.68	+	1005.86i	0.380831	+	0.183398i	0.614498	−	0.788918i	$-0.289358\pi$
$311$	2088.68	+	1005.86i	0.380831	+	0.183398i	−0.233668	+	0.972317i	$0.575073\pi$
$312$	−412.321	−	1806.50i	−0.0748176	−	0.327797i
$313$	−2731.49	−	3425.19i	−0.493269	−	0.618540i	0.471427	−	0.881905i	$-0.343739\pi$
$313$	−2731.49	−	3425.19i	−0.493269	−	0.618540i	−0.964696	+	0.263365i	$0.915168\pi$
$314$	729.558	−	351.336i	0.131119	−	0.0631435i
$315$	−377.067	−	472.827i	−0.0674455	−	0.0845740i
$316$	−133.187	+	583.530i	−0.0237100	+	0.103880i
$317$	−8384.81	−	4037.91i	−1.48561	−	0.715431i	−0.497254	−	0.867605i	$-0.665658\pi$
$317$	−8384.81	−	4037.91i	−1.48561	−	0.715431i	−0.988354	+	0.152174i	$0.951373\pi$
$318$	3680.73	+	1772.55i	0.649073	+	0.312577i
$319$	1421.08	−	1781.97i	0.249420	−	0.312763i
$320$	−368.844	+	1616.01i	−0.0644344	+	0.282306i
$321$	−2337.09	−	10239.5i	−0.406367	−	1.78041i
$322$	−1153.51	+	1446.46i	−0.199636	+	0.250335i
$323$	642.255	−	805.362i	0.110638	−	0.138735i
$324$	−973.297	−	4264.29i	−0.166889	−	0.731189i
$325$	−211.341	+	925.947i	−0.0360711	+	0.158038i
$326$	−1514.04	+	1898.54i	−0.257223	+	0.322548i
$327$	−8628.80	−	4155.41i	−1.45925	−	0.702736i
$328$	6475.01	+	3118.20i	1.09001	+	0.524920i
$329$	823.282	−	3607.03i	0.137960	−	0.604444i
$330$	390.156	+	489.241i	0.0650830	+	0.0816115i
$331$	4670.12	−	2249.01i	0.775508	−	0.373465i	−0.00389151	−	0.999992i	$-0.501239\pi$
$331$	4670.12	−	2249.01i	0.775508	−	0.373465i	0.779399	+	0.626528i	$0.215524\pi$
$332$	3470.96	+	4352.45i	0.573776	+	0.719493i
$333$	211.142	+	925.074i	0.0347463	+	0.152233i
$334$	−3732.47	−	1797.46i	−0.611472	−	0.294470i
$335$	1216.02	+	5327.74i	0.198324	+	0.868912i
$336$	−1674.25	+	806.276i	−0.271839	+	0.130911i
$337$	3000.12			0.484947			0.242474	−	0.970158i	$-0.422041\pi$
$337$	3000.12			0.484947			0.242474	+	0.970158i	$0.422041\pi$
$338$	3034.93			0.488397
$339$	9457.77	−	4554.62i	1.51527	−	0.729714i
$340$	−134.664	+	590.000i	−0.0214799	+	0.0941095i
$341$	−682.516	+	855.848i	−0.108388	+	0.135914i
$342$	181.411	+	227.482i	0.0286829	+	0.0359673i
$343$	−7953.52			−1.25204
$344$	5699.07	−	1820.04i	0.893236	−	0.285262i
$345$	1693.67			0.264301
$346$	1987.55	+	2492.31i	0.308819	+	0.387247i
$347$	5704.16	−	7152.79i	0.882465	−	1.10658i	−0.111156	−	0.993803i	$-0.535455\pi$
$347$	5704.16	−	7152.79i	0.882465	−	1.10658i	0.993621	−	0.112773i	$-0.0359732\pi$
$348$	−1683.18	+	7374.50i	−0.259276	+	1.13596i
$349$	−1888.74	+	909.568i	−0.289690	+	0.139507i	−0.573085	−	0.819496i	$-0.694254\pi$
$349$	−1888.74	+	909.568i	−0.289690	+	0.139507i	0.283395	+	0.959003i	$0.408539\pi$
$350$	−2839.75			−0.433688
$351$	−2146.48			−0.326412
$352$	1529.07	−	736.360i	0.231533	−	0.111500i
$353$	−71.0078	−	311.105i	−0.0107064	−	0.0469078i	0.969293	−	0.245910i	$-0.0790869\pi$
$353$	−71.0078	−	311.105i	−0.0107064	−	0.0469078i	−0.979999	+	0.199003i	$0.936230\pi$
$354$	−2740.01	−	1319.52i	−0.411384	−	0.198112i
$355$	−755.642	−	3310.68i	−0.112973	−	0.494966i
$356$	652.084	+	817.687i	0.0970797	+	0.121734i
$357$	2017.05	−	971.358i	0.299029	−	0.144005i
$358$	3497.73	+	4386.01i	0.516371	+	0.647508i
$359$	−2027.77	+	8884.25i	−0.298111	+	1.30611i	0.574827	+	0.818275i	$0.305069\pi$
$359$	−2027.77	+	8884.25i	−0.298111	+	1.30611i	−0.872937	+	0.487833i	$0.837788\pi$
$360$	−376.122	−	181.131i	−0.0550648	−	0.0265178i
$361$	877.701	+	422.679i	0.127963	+	0.0616240i
$362$	−139.198	+	174.549i	−0.0202102	+	0.0253428i
$363$	−1507.30	+	6603.91i	−0.217941	+	0.954863i
$364$	610.849	+	2676.30i	0.0879593	+	0.385375i
$365$	−4673.79	+	5860.74i	−0.670239	+	0.840453i
$366$	−3137.58	+	3934.40i	−0.448098	+	0.561897i
$367$	606.799	+	2658.56i	0.0863069	+	0.378135i	0.999573	−	0.0292288i	$-0.00930514\pi$
$367$	606.799	+	2658.56i	0.0863069	+	0.378135i	−0.913266	+	0.407364i	$0.866448\pi$
$368$	95.3176	−	417.614i	0.0135021	−	0.0591565i
$369$	−511.436	+	641.321i	−0.0721526	+	0.0904765i
$370$	−4492.06	−	2163.26i	−0.631165	−	0.303953i
$371$	−13317.3	−	6413.27i	−1.86361	−	0.897467i
$372$	808.401	−	3541.83i	0.112671	−	0.493644i
$373$	−8260.99	−	10359.0i	−1.14675	−	1.43798i	−0.880481	−	0.474081i	$-0.842781\pi$
$373$	−8260.99	−	10359.0i	−1.14675	−	1.43798i	−0.266269	−	0.963899i	$-0.585791\pi$
$374$	−171.786	+	82.7280i	−0.0237510	+	0.0114379i
$375$	5055.49	+	6339.38i	0.696171	+	0.872971i
$376$	−568.300	−	2489.88i	−0.0779463	−	0.341505i
$377$	3646.83	+	1756.22i	0.498200	+	0.239920i
$378$	−1428.11	−	6256.98i	−0.194323	−	0.851387i
$379$	−7909.54	+	3809.04i	−1.07199	+	0.516245i	−0.884749	−	0.466068i	$-0.845670\pi$
$379$	−7909.54	+	3809.04i	−1.07199	+	0.516245i	−0.187246	+	0.982313i	$0.559956\pi$
$380$	3457.28			0.466724
$381$	−1176.21			−0.158160
$382$	866.337	−	417.206i	0.116036	−	0.0558799i
$383$	2479.14	−	10861.8i	0.330752	−	1.44912i	−0.486925	−	0.873444i	$-0.661881\pi$
$383$	2479.14	−	10861.8i	0.330752	−	1.44912i	0.817677	−	0.575677i	$-0.195262\pi$
$384$	−3984.00	+	4995.78i	−0.529448	+	0.663906i
$385$	−1411.63	−	1770.13i	−0.186865	−	0.234322i
$386$	394.058			0.0519613
$387$	57.7825	+	680.399i	0.00758979	+	0.0893711i
$388$	−2671.12			−0.349499
$389$	7278.57	+	9127.04i	0.948684	+	1.18961i	0.981753	+	0.190159i	$0.0609004\pi$
$389$	7278.57	+	9127.04i	0.948684	+	1.18961i	−0.0330692	+	0.999453i	$0.510528\pi$
$390$	−692.878	+	868.842i	−0.0899622	+	0.112809i
$391$	−114.833	+	503.118i	−0.0148526	+	0.0650736i
$392$	−11503.3	+	5539.71i	−1.48216	+	0.713770i
$393$	3414.76			0.438300
$394$	3204.58			0.409758
$395$	789.854	−	380.374i	0.100612	−	0.0484523i
$396$	27.1004	+	118.735i	0.00343901	+	0.0150673i
$397$	−8957.89	−	4313.89i	−1.13245	−	0.545360i	−0.228734	−	0.973489i	$-0.573459\pi$
$397$	−8957.89	−	4313.89i	−1.13245	−	0.545360i	−0.903718	+	0.428129i	$0.859173\pi$
$398$	210.132	+	920.650i	0.0264648	+	0.115950i
$399$	−7974.27	−	9999.42i	−1.00053	−	1.25463i
$400$	592.377	−	285.274i	0.0740471	−	0.0356592i
$401$	3045.65	+	3819.13i	0.379283	+	0.475606i	0.934430	−	0.356146i	$-0.115909\pi$
$401$	3045.65	+	3819.13i	0.379283	+	0.475606i	−0.555147	+	0.831752i	$0.687338\pi$
$402$	1271.49	−	5570.77i	0.157752	−	0.691156i
$403$	−1751.50	−	843.480i	−0.216498	−	0.104260i
$404$	−6848.35	−	3297.99i	−0.843362	−	0.406142i
$405$	−3994.39	+	5008.80i	−0.490081	+	0.614542i
$406$	−2693.04	+	11799.0i	−0.329195	+	1.44230i
$407$	790.453	+	3463.20i	0.0962685	+	0.421780i
$408$	963.528	−	1208.23i	0.116916	−	0.146608i
$409$	6676.27	−	8371.78i	0.807140	−	1.01212i	−0.192385	−	0.981319i	$-0.561622\pi$
$409$	6676.27	−	8371.78i	0.807140	−	1.01212i	0.999525	−	0.0308023i	$-0.00980622\pi$
$410$	−959.101	−	4202.10i	−0.115528	−	0.506163i
$411$	−2171.83	+	9515.43i	−0.260654	+	1.14200i
$412$	2847.04	−	3570.07i	0.340445	−	0.426905i
$413$	9913.64	+	4774.16i	1.18116	+	0.568816i
$414$	−131.330	−	63.2451i	−0.0155906	−	0.00750803i
$415$	1814.42	−	7949.49i	0.214618	−	0.940301i
$416$	1879.16	+	2356.39i	0.221475	+	0.277721i
$417$	6667.49	−	3210.89i	0.782994	−	0.377070i
$418$	679.148	+	851.624i	0.0794694	+	0.0996515i
$419$	1129.71	+	4949.58i	0.131718	+	0.577095i	0.997108	+	0.0759960i	$0.0242136\pi$
$419$	1129.71	+	4949.58i	0.131718	+	0.577095i	−0.865390	+	0.501099i	$0.832929\pi$
$420$	6769.75	+	3260.14i	0.786501	+	0.378759i
$421$	834.142	+	3654.61i	0.0965643	+	0.423076i	0.999984	−	0.00568168i	$-0.00180854\pi$
$421$	834.142	+	3654.61i	0.0965643	+	0.423076i	−0.903420	+	0.428758i	$0.858951\pi$
$422$	6137.70	−	2955.76i	0.708006	−	0.340958i
$423$	291.500			0.0335064
$424$	−10203.2			−1.16865
$425$	−713.664	+	343.683i	−0.0814536	+	0.0392260i
$426$	−790.111	+	3461.70i	−0.0898615	+	0.393709i
$427$	11352.1	−	14235.1i	1.28657	−	1.61331i
$428$	6696.72	+	8397.42i	0.756304	+	0.948375i
$429$	791.767			0.0891069
$430$	−2984.47	−	1991.70i	−0.334707	−	0.223368i
$431$	−472.408			−0.0527960			−0.0263980	−	0.999652i	$-0.508404\pi$
$431$	−472.408			−0.0527960			−0.0263980	+	0.999652i	$0.508404\pi$
$432$	926.468	+	1161.75i	0.103182	+	0.129386i
$433$	311.817	−	391.006i	0.0346073	−	0.0433962i	−0.764227	−	0.644948i	$-0.776879\pi$
$433$	311.817	−	391.006i	0.0346073	−	0.0433962i	0.798834	+	0.601552i	$0.205451\pi$
$434$	1293.42	−	5666.83i	0.143055	−	0.626766i
$435$	9981.97	−	4807.06i	1.10023	−	0.529841i
$436$	9794.17			1.07582
$437$	2948.18			0.322724
$438$	7061.90	−	3400.83i	0.770390	−	0.371000i
$439$	3363.01	+	14734.3i	0.365622	+	1.60189i	0.738661	+	0.674078i	$0.235459\pi$
$439$	3363.01	+	14734.3i	0.365622	+	1.60189i	−0.373039	+	0.927816i	$0.621684\pi$
$440$	−1408.09	−	678.099i	−0.152563	−	0.0734707i
$441$	−324.277	−	1420.75i	−0.0350153	−	0.153412i
$442$	−211.119	−	264.734i	−0.0227192	−	0.0284890i
$443$	7833.16	−	3772.25i	0.840101	−	0.404571i	0.0362070	−	0.999344i	$-0.488472\pi$
$443$	7833.16	−	3772.25i	0.840101	−	0.404571i	0.803894	+	0.594773i	$0.202758\pi$
$444$	−7350.33	−	9217.02i	−0.785656	−	0.985181i
$445$	340.872	−	1493.46i	0.0363121	−	0.159094i
$446$	−3336.88	−	1606.96i	−0.354273	−	0.170609i
$447$	−298.636	−	143.816i	−0.0315995	−	0.0152175i
$448$	−3909.81	+	4902.74i	−0.412324	+	0.517037i
$449$	3443.61	−	15087.4i	0.361947	−	1.58579i	−0.386302	−	0.922373i	$-0.626248\pi$
$449$	3443.61	−	15087.4i	0.361947	−	1.58579i	0.748248	−	0.663419i	$-0.230895\pi$
$450$	−49.7864	−	218.128i	−0.00521545	−	0.0228504i
$451$	−1914.66	+	2400.91i	−0.199907	+	0.250675i
$452$	−6693.23	+	8393.04i	−0.696511	+	0.873397i
$453$	2404.36	+	10534.2i	0.249375	+	1.09258i
$454$	2304.52	−	10096.8i	0.238230	−	1.04375i
$455$	2506.91	−	3143.56i	0.258298	−	0.323896i
$456$	−7954.27	−	3830.57i	−0.816870	−	0.393384i
$457$	−6609.80	−	3183.11i	−0.676572	−	0.325820i	0.0638528	−	0.997959i	$-0.479661\pi$
$457$	−6609.80	−	3183.11i	−0.676572	−	0.325820i	−0.740424	+	0.672140i	$0.765375\pi$
$458$	754.771	−	3306.87i	0.0770046	−	0.337379i
$459$	−1116.16	−	1399.62i	−0.113503	−	0.142328i
$460$	−1560.50	+	751.499i	−0.158171	+	0.0761713i
$461$	−1232.41	−	1545.39i	−0.124509	−	0.156130i	0.715670	−	0.698439i	$-0.246122\pi$
$461$	−1232.41	−	1545.39i	−0.124509	−	0.156130i	−0.840179	+	0.542309i	$0.817550\pi$
$462$	526.786	+	2308.00i	0.0530482	+	0.232419i
$463$	−6887.37	−	3316.78i	−0.691325	−	0.332925i	0.0550187	−	0.998485i	$-0.482478\pi$
$463$	−6887.37	−	3316.78i	−0.691325	−	0.332925i	−0.746344	+	0.665561i	$0.768192\pi$
$464$	−623.521	−	2731.83i	−0.0623842	−	0.273323i
$465$	−4794.15	+	2308.74i	−0.478115	+	0.230248i
$466$	4023.36			0.399954
$467$	−4008.28			−0.397176			−0.198588	−	0.980083i	$-0.563635\pi$
$467$	−4008.28			−0.397176			−0.198588	+	0.980083i	$0.563635\pi$
$468$	−194.865	+	93.8418i	−0.0192470	+	0.00926889i
$469$	−4600.39	+	20155.6i	−0.452935	+	1.98444i
$470$	−954.990	+	1197.52i	−0.0937243	+	0.117527i
$471$	−1748.51	−	2192.56i	−0.171055	−	0.214496i
$472$	7595.43			0.740695
$473$	216.321	+	2547.21i	0.0210284	+	0.247613i
$474$	−916.662			−0.0888263
$475$	2821.43	+	3537.96i	0.272539	+	0.341753i
$476$	−1427.45	+	1789.97i	−0.137452	+	0.172360i
$477$	259.142	−	1135.37i	0.0248748	−	0.108984i
$478$	1344.03	−	647.249i	0.128607	−	0.0619340i
$479$	−10236.8			−0.976473			−0.488236	−	0.872711i	$-0.662360\pi$
$479$	−10236.8			−0.976473			−0.488236	+	0.872711i	$0.662360\pi$
$480$	8249.65			0.784465
$481$	−5683.73	+	2737.14i	−0.538785	+	0.259465i
$482$	960.829	+	4209.67i	0.0907978	+	0.397811i
$483$	5772.86	+	2780.06i	0.543839	+	0.261899i
$484$	−1541.44	−	6753.49i	−0.144763	−	0.634250i
$485$	2439.32	+	3058.81i	0.228379	+	0.286378i
$486$	956.043	−	460.406i	0.0892325	−	0.0429721i
$487$	2530.04	+	3172.57i	0.235415	+	0.295201i	0.885480	−	0.464678i	$-0.153830\pi$
$487$	2530.04	+	3172.57i	0.235415	+	0.295201i	−0.650065	+	0.759879i	$0.725258\pi$
$488$	2796.71	−	12253.2i	0.259428	−	1.13663i
$489$	7577.14	+	3648.96i	0.700716	+	0.337447i
$490$	6899.01	+	3322.39i	0.636052	+	0.306306i
$491$	−2422.18	+	3037.32i	−0.222630	+	0.279170i	−0.880585	−	0.473888i	$-0.842850\pi$
$491$	−2422.18	+	3037.32i	−0.222630	+	0.279170i	0.657955	+	0.753057i	$0.271422\pi$
$492$	2267.81	−	9935.92i	0.207806	−	0.910459i
$493$	751.185	+	3291.16i	0.0686241	+	0.300662i
$494$	−1206.10	+	1512.40i	−0.109848	+	0.137745i
$495$	111.219	−	139.465i	0.0100989	−	0.0126636i
$496$	299.466	+	1312.05i	0.0271097	+	0.118775i
$497$	2858.71	−	12524.8i	0.258009	−	1.13041i
$498$	−5315.79	+	6665.79i	−0.478326	+	0.599802i
$499$	7213.05	+	3473.62i	0.647095	+	0.311625i	0.728489	−	0.685057i	$-0.240223\pi$
$499$	7213.05	+	3473.62i	0.647095	+	0.311625i	−0.0813939	+	0.996682i	$0.525937\pi$
$500$	−7470.86	−	3597.78i	−0.668214	−	0.321795i
$501$	−3192.61	+	13987.7i	−0.284701	+	1.24736i
$502$	708.340	+	888.231i	0.0629777	+	0.0789715i
$503$	−2853.70	+	1374.27i	−0.252962	+	0.121820i	−0.556068	−	0.831137i	$-0.687691\pi$
$503$	−2853.70	+	1374.27i	−0.252962	+	0.121820i	0.303106	+	0.952957i	$0.401976\pi$
$504$	−984.694	−	1234.77i	−0.0870273	−	0.109129i
$505$	2477.39	+	10854.1i	0.218301	+	0.956441i
$506$	−491.660	−	236.771i	−0.0431955	−	0.0208019i
$507$	−2338.88	−	10247.3i	−0.204878	−	0.897630i
$508$	1083.73	−	521.897i	0.0946511	−	0.0455816i
$509$	−2437.53			−0.212262			−0.106131	−	0.994352i	$-0.533846\pi$
$509$	−2437.53			−0.212262			−0.106131	+	0.994352i	$0.533846\pi$
$510$	−926.825			−0.0804716
$511$	−25550.7	+	12304.6i	−2.21193	+	1.06521i
$512$	885.265	−	3878.60i	0.0764132	−	0.334788i
$513$	−6376.49	+	7995.87i	−0.548789	+	0.688160i
$514$	3775.61	+	4734.46i	0.323998	+	0.406280i
$515$	−6688.21			−0.572268
$516$	−4314.66	−	7304.86i	−0.368105	−	0.623214i
$517$	1091.29			0.0928332
$518$	−11760.3	−	14746.9i	−0.997525	−	1.25086i
$519$	6883.46	−	8631.58i	0.582178	−	0.730028i
$520$	617.602	−	2705.89i	0.0520839	−	0.228195i
$521$	−10998.7	+	5296.69i	−0.924877	+	0.445397i	−0.834810	−	0.550538i	$-0.814423\pi$
$521$	−10998.7	+	5296.69i	−0.924877	+	0.445397i	−0.0900673	+	0.995936i	$0.528708\pi$
$522$	−953.525			−0.0799514
$523$	−18236.1			−1.52468			−0.762340	−	0.647177i	$-0.775950\pi$
$523$	−18236.1			−1.52468			−0.762340	+	0.647177i	$0.775950\pi$
$524$	−3146.28	+	1515.17i	−0.262301	+	0.126318i
$525$	2188.46	+	9588.27i	0.181928	+	0.797079i
$526$	1800.16	+	866.909i	0.149222	+	0.0718613i
$527$	−360.780	−	1580.68i	−0.0298213	−	0.130656i
$528$	−341.744	−	428.534i	−0.0281676	−	0.0353211i
$529$	9631.38	−	4638.23i	0.791599	−	0.381214i
$530$	3815.29	+	4784.22i	0.312690	+	0.392100i
$531$	−192.910	+	845.194i	−0.0157657	+	0.0690740i
$532$	11784.2	+	5674.95i	0.960353	+	0.462482i
$533$	−4913.50	−	2366.22i	−0.399301	−	0.192293i
$534$	−998.670	+	1252.29i	−0.0809301	+	0.101483i
$535$	3500.66	−	15337.4i	0.282891	−	1.23943i
$536$	3175.59	+	13913.2i	0.255904	+	1.12119i
$537$	12113.6	−	15190.0i	0.973449	−	1.22067i
$538$	685.872	−	860.057i	0.0549629	−	0.0689213i
$539$	−1214.00	−	5318.87i	−0.0970140	−	0.425046i
$540$	1336.98	−	5857.69i	0.106545	−	0.466805i
$541$	−2666.87	+	3344.15i	−0.211937	+	0.265760i	−0.876425	−	0.481539i	$-0.840078\pi$
$541$	−2666.87	+	3344.15i	−0.211937	+	0.265760i	0.664488	+	0.747299i	$0.268650\pi$
$542$	9047.69	+	4357.14i	0.717033	+	0.345305i
$543$	696.631	+	335.480i	0.0550558	+	0.0265135i
$544$	−559.340	+	2450.63i	−0.0440837	+	0.193143i
$545$	−8944.24	−	11215.7i	−0.702989	−	0.881520i
$546$	−3787.83	+	1824.12i	−0.296894	+	0.142977i
$547$	6409.86	+	8037.71i	0.501034	+	0.628277i	0.966462	−	0.256809i	$-0.0826710\pi$
$547$	6409.86	+	8037.71i	0.501034	+	0.628277i	−0.465428	+	0.885086i	$0.654100\pi$
$548$	−2221.03	−	9730.96i	−0.173134	−	0.758551i
$549$	1292.46	+	622.416i	0.100475	+	0.0483863i
$550$	−186.385	−	816.608i	−0.0144500	−	0.0633096i
$551$	17375.7	−	8367.68i	1.34343	−	0.646961i
$552$	4422.93			0.341037
$553$	3316.58			0.255037
$554$	2948.00	−	1419.68i	0.226080	−	0.108875i
$555$	−3842.33	+	16834.3i	−0.293870	+	1.28753i
$556$	−4718.56	+	5916.88i	−0.359913	+	0.451316i
$557$	−12022.4	−	15075.6i	−0.914550	−	1.14681i	−0.988752	−	0.149567i	$-0.952212\pi$
$557$	−12022.4	−	15075.6i	−0.914550	−	1.14681i	0.0742012	−	0.997243i	$-0.476359\pi$
$558$	457.960			0.0347437
$559$	−4324.69	+	1381.12i	−0.327218	+	0.104500i
$560$	−2783.45			−0.210040
$561$	411.715	+	516.275i	0.0309851	+	0.0388541i
$562$	3310.98	−	4151.84i	0.248515	−	0.311627i
$563$	−3310.59	+	14504.6i	−0.247823	+	1.08579i	0.685873	+	0.727721i	$0.259420\pi$
$563$	−3310.59	+	14504.6i	−0.247823	+	1.08579i	−0.933697	+	0.358065i	$0.883437\pi$
$564$	−3263.03	+	1571.39i	−0.243614	+	0.117318i
$565$	15723.6			1.17079
$566$	−10707.9			−0.795209
$567$	−21836.6	+	10515.9i	−1.61737	+	0.778885i
$568$	−1973.33	−	8645.70i	−0.145773	−	0.638672i
$569$	9725.53	+	4683.57i	0.716547	+	0.345071i	0.756377	−	0.654135i	$-0.226967\pi$
$569$	9725.53	+	4683.57i	0.716547	+	0.345071i	−0.0398301	+	0.999206i	$0.512682\pi$
$570$	1178.21	+	5162.10i	0.0865789	+	0.379327i
$571$	4985.37	+	6251.46i	0.365379	+	0.458170i	0.930206	−	0.367039i	$-0.119628\pi$
$571$	4985.37	+	6251.46i	0.365379	+	0.458170i	−0.564827	+	0.825209i	$0.691057\pi$
$572$	−729.515	+	351.316i	−0.0533261	+	0.0256805i
$573$	−2076.32	−	2603.63i	−0.151378	−	0.189822i
$574$	3628.43	−	15897.2i	0.263846	−	1.15598i
$575$	−2042.53	−	983.633i	−0.148138	−	0.0713397i
$576$	−445.139	−	214.368i	−0.0322005	−	0.0155069i
$577$	7210.91	−	9042.20i	0.520267	−	0.652395i	−0.450398	−	0.892828i	$-0.648718\pi$
$577$	7210.91	−	9042.20i	0.520267	−	0.652395i	0.970666	+	0.240433i	$0.0772895\pi$
$578$	−1649.39	+	7226.47i	−0.118695	+	0.520037i
$579$	−303.683	−	1330.52i	−0.0217973	−	0.0955001i
$580$	−7064.20	+	8858.22i	−0.505732	+	0.634168i
$581$	19233.1	−	24117.6i	1.37336	−	1.72214i
$582$	−910.296	−	3988.27i	−0.0648333	−	0.284053i
$583$	970.149	−	4250.50i	0.0689185	−	0.301952i
$584$	−12205.4	+	15305.1i	−0.864833	+	1.08447i
$585$	285.417	+	137.449i	0.0201718	+	0.00971424i
$586$	9616.01	+	4630.83i	0.677873	+	0.326447i
$587$	−1414.08	+	6195.48i	−0.0994297	+	0.435630i	0.900570	+	0.434711i	$0.143150\pi$
$587$	−1414.08	+	6195.48i	−0.0994297	+	0.435630i	−1.00000		0.000918798i	$0.999708\pi$
$588$	11288.8	+	14155.7i	0.791739	+	0.992810i
$589$	−8345.21	+	4018.84i	−0.583800	+	0.281143i
$590$	−2840.17	−	3561.46i	−0.198183	−	0.248514i
$591$	−2469.62	−	10820.1i	−0.171890	−	0.753098i
$592$	3934.67	+	1894.83i	0.273165	+	0.131549i
$593$	4839.31	+	21202.4i	0.335121	+	1.46826i	0.809072	+	0.587710i	$0.199970\pi$
$593$	4839.31	+	21202.4i	0.335121	+	1.46826i	−0.473950	+	0.880552i	$0.657172\pi$
$594$	1705.55	−	821.348i	0.117810	−	0.0567345i
$595$	3353.35			0.231049
$596$	338.969			0.0232965
$597$	2946.59	−	1419.01i	0.202004	−	0.0972798i
$598$	215.647	−	944.812i	0.0147466	−	0.0646091i
$599$	6779.96	−	8501.80i	0.462474	−	0.579924i	−0.494837	−	0.868986i	$-0.664772\pi$
$599$	6779.96	−	8501.80i	0.462474	−	0.579924i	0.957310	+	0.289062i	$0.0933435\pi$
$600$	4232.78	+	5307.74i	0.288004	+	0.361146i
$601$	16092.5			1.09223			0.546113	−	0.837712i	$-0.316107\pi$
$601$	16092.5			1.09223			0.546113	+	0.837712i	$0.316107\pi$
$602$	−6903.31	−	11687.6i	−0.467372	−	0.791277i
$603$	−1628.86			−0.110004
$604$	−6889.46	−	8639.11i	−0.464119	−	0.581987i
$605$	−6326.03	+	7932.59i	−0.425107	+	0.533067i
$606$	2590.39	−	11349.3i	0.173643	−	0.760779i
$607$	20934.7	−	10081.6i	1.39986	−	0.674136i	0.426725	−	0.904382i	$-0.359667\pi$
$607$	20934.7	−	10081.6i	1.39986	−	0.674136i	0.973132	+	0.230246i	$0.0739531\pi$
$608$	14360.2			0.957868
$609$	41914.1			2.78891
$610$	−6791.23	+	3270.49i	−0.450769	+	0.217079i
$611$	431.249	+	1889.43i	0.0285540	+	0.125103i
$612$	−162.519	−	78.2648i	−0.0107344	−	0.00516939i
$613$	3337.23	+	14621.3i	0.219885	+	0.963378i	0.957563	+	0.288225i	$0.0930651\pi$
$613$	3337.23	+	14621.3i	0.219885	+	0.963378i	−0.737678	+	0.675153i	$0.764078\pi$
$614$	−1566.59	−	1964.44i	−0.102968	−	0.129118i
$615$	−13449.1	+	6476.72i	−0.881818	+	0.424661i
$616$	−3686.40	−	4622.60i	−0.241119	−	0.302354i
$617$	−448.727	+	1966.00i	−0.0292789	+	0.128279i	−0.987455	−	0.157899i	$-0.949528\pi$
$617$	−448.727	+	1966.00i	−0.0292789	+	0.128279i	0.958176	+	0.286178i	$0.0923850\pi$
$618$	6300.75	+	3034.28i	0.410119	+	0.197503i
$619$	−16203.1	−	7803.01i	−1.05211	−	0.506671i	−0.173812	−	0.984779i	$-0.555609\pi$
$619$	−16203.1	−	7803.01i	−1.05211	−	0.506671i	−0.878301	+	0.478107i	$0.841323\pi$
$620$	3392.80	−	4254.44i	0.219771	−	0.275584i
$621$	1140.10	−	4995.11i	0.0736726	−	0.322781i
$622$	−807.940	−	3539.82i	−0.0520827	−	0.228189i
$623$	3613.29	−	4530.93i	0.232365	−	0.291377i
$624$	606.903	−	761.033i	0.0389352	−	0.0488232i
$625$	1061.78	+	4651.97i	0.0679541	+	0.297726i
$626$	−1526.82	+	6689.43i	−0.0974823	+	0.427098i
$627$	2352.08	−	2949.42i	0.149814	−	0.187860i
$628$	2583.90	+	1244.34i	0.164186	+	0.0790677i
$629$	−4740.27	−	2282.80i	−0.300488	−	0.144708i
$630$	−210.769	+	923.438i	−0.0133289	+	0.0583978i
$631$	−4677.80	−	5865.78i	−0.295119	−	0.370068i	0.612061	−	0.790811i	$-0.290341\pi$
$631$	−4677.80	−	5865.78i	−0.295119	−	0.370068i	−0.907180	+	0.420743i	$0.861769\pi$
$632$	2062.67	−	993.329i	0.129824	−	0.0625198i
$633$	−14710.0	−	18445.8i	−0.923651	−	1.15822i
$634$	3243.39	+	14210.2i	0.203173	+	0.890159i
$635$	−1587.33	−	764.419i	−0.0991989	−	0.0477717i
$636$	3219.67	+	14106.3i	0.200736	+	0.879482i
$637$	8729.20	−	4203.76i	0.542957	−	0.261474i
$638$	−3569.71			−0.221515
$639$	1012.18			0.0626625
$640$	−8623.30	+	4152.76i	−0.532603	+	0.256488i
$641$	3929.38	−	17215.8i	0.242124	−	1.06081i	−0.696956	−	0.717114i	$-0.745463\pi$
$641$	3929.38	−	17215.8i	0.242124	−	1.06081i	0.939080	−	0.343699i	$-0.111680\pi$
$642$	−10256.1	+	12860.7i	−0.630489	+	0.790609i
$643$	−8048.28	−	10092.2i	−0.493613	−	0.618971i	0.471162	−	0.882047i	$-0.343835\pi$
$643$	−8048.28	−	10092.2i	−0.493613	−	0.618971i	−0.964775	+	0.263075i	$0.915263\pi$
$644$	−6552.52			−0.400940
$645$	−4424.87	+	11611.8i	−0.270123	+	0.708862i
$646$	−1613.33			−0.0982595
$647$	−12488.7	−	15660.3i	−0.758859	−	0.951579i	0.240961	−	0.970535i	$-0.422537\pi$
$647$	−12488.7	−	15660.3i	−0.758859	−	0.951579i	−0.999820	+	0.0189555i	$0.993966\pi$
$648$	−10431.2	+	13080.3i	−0.632368	+	0.792965i
$649$	−722.198	+	3164.15i	−0.0436806	+	0.191377i
$650$	1340.20	−	645.406i	0.0808722	−	0.0389460i
$651$	−20130.6			−1.21195
$652$	−8600.48			−0.516597
$653$	2833.61	−	1364.60i	0.169813	−	0.0817776i	−0.347046	−	0.937848i	$-0.612815\pi$
$653$	2833.61	−	1364.60i	0.169813	−	0.0817776i	0.516859	+	0.856070i	$0.327101\pi$
$654$	3337.77	+	14623.7i	0.199568	+	0.874363i
$655$	4608.33	+	2219.26i	0.274905	+	0.132387i
$656$	840.093	+	3680.69i	0.0500002	+	0.219065i
$657$	−1393.10	−	1746.89i	−0.0827246	−	0.103733i
$658$	−5220.75	+	2514.18i	−0.309310	+	0.148956i
$659$	−10058.6	−	12613.0i	−0.594576	−	0.745575i	0.389945	−	0.920838i	$-0.372494\pi$
$659$	−10058.6	−	12613.0i	−0.594576	−	0.745575i	−0.984522	+	0.175263i	$0.943922\pi$
$660$	−493.169	+	2160.71i	−0.0290857	+	0.127433i
$661$	8229.53	+	3963.13i	0.484254	+	0.233204i	0.660049	−	0.751223i	$-0.270535\pi$
$661$	8229.53	+	3963.13i	0.484254	+	0.233204i	−0.175796	+	0.984427i	$0.556250\pi$
$662$	−7314.32	−	3522.39i	−0.429424	−	0.206800i
$663$	−731.165	+	916.851i	−0.0428297	+	0.0537067i
$664$	4738.27	−	20759.7i	0.276929	−	1.21330i
$665$	−4262.91	−	18677.0i	−0.248584	−	1.08912i
$666$	926.571	−	1161.88i	0.0539098	−	0.0676007i
$667$	−6023.95	+	7553.79i	−0.349697	+	0.438507i
$668$	−3264.92	−	14304.6i	−0.189107	−	0.828533i
$669$	−2854.23	+	12505.2i	−0.164949	+	0.722690i
$670$	5336.36	−	6691.59i	0.307704	−	0.385849i
$671$	4838.59	+	2330.14i	0.278378	+	0.134060i
$672$	28118.9	+	13541.4i	1.61415	+	0.777335i
$673$	1138.47	−	4987.96i	0.0652077	−	0.285693i	−0.931802	−	0.362966i	$-0.881764\pi$
$673$	1138.47	−	4987.96i	0.0652077	−	0.285693i	0.997010	+	0.0772727i	$0.0246212\pi$
$674$	−2929.64	−	3673.65i	−0.167426	−	0.209946i
$675$	7085.47	−	3412.18i	0.404029	−	0.194570i
$676$	6701.83	+	8403.82i	0.381305	+	0.478142i
$677$	1106.55	+	4848.13i	0.0628188	+	0.275227i	0.996576	−	0.0826795i	$-0.0263478\pi$
$677$	1106.55	+	4848.13i	0.0628188	+	0.275227i	−0.933757	+	0.357907i	$0.883491\pi$
$678$	−14812.7	−	7133.42i	−0.839054	−	0.404067i
$679$	3293.55	+	14430.0i	0.186148	+	0.815570i
$680$	2085.54	−	1004.34i	0.117613	−	0.0566393i
$681$	−35867.2			−2.01826
$682$	1714.47			0.0962614
$683$	6830.90	−	3289.59i	0.382690	−	0.184294i	−0.232641	−	0.972563i	$-0.574737\pi$
$683$	6830.90	−	3289.59i	0.382690	−	0.184294i	0.615331	+	0.788269i	$0.289022\pi$
$684$	−229.308	+	1004.67i	−0.0128185	+	0.0561613i
$685$	−9115.04	+	11429.9i	−0.508420	+	0.637539i
$686$	7766.66	+	9739.08i	0.432263	+	0.542041i
$687$	−11747.2			−0.652375
$688$	2614.15	+	1744.56i	0.144860	+	0.0966725i
$689$	7742.58			0.428112
$690$	−1653.88	−	2073.89i	−0.0912492	−	0.114423i
$691$	−4772.01	+	5983.91i	−0.262714	+	0.329433i	−0.895640	−	0.444779i	$-0.853282\pi$
$691$	−4772.01	+	5983.91i	−0.262714	+	0.329433i	0.632926	+	0.774212i	$0.281854\pi$
$692$	−2512.32	+	11007.2i	−0.138012	+	0.604669i
$693$	608.015	−	292.805i	0.0333284	−	0.0160501i
$694$	−14328.7			−0.783734
$695$	11084.8			0.604991
$696$	26067.5	−	12553.4i	1.41966	−	0.683673i
$697$	−1012.10	−	4434.29i	−0.0550014	−	0.240977i
$698$	2958.13	+	1424.56i	0.160411	+	0.0772498i
$699$	−3100.62	−	13584.7i	−0.167777	−	0.735079i
$700$	−6270.82	−	7863.36i	−0.338592	−	0.424581i
$701$	−5354.18	+	2578.44i	−0.288480	+	0.138925i	−0.572527	−	0.819886i	$-0.694037\pi$
$701$	−5354.18	+	2578.44i	−0.288480	+	0.138925i	0.284047	+	0.958810i	$0.408323\pi$
$702$	2096.05	+	2628.36i	0.112693	+	0.141312i
$703$	−6688.37	+	29303.7i	−0.358829	+	1.57213i
$704$	−1666.47	−	802.529i	−0.0892151	−	0.0429637i
$705$	4779.34	+	2301.61i	0.255319	+	0.122955i
$706$	−311.609	+	390.745i	−0.0166113	+	0.0208299i
$707$	−9372.32	+	41062.8i	−0.498561	+	2.18434i
$708$	−2396.78	−	10501.0i	−0.127227	−	0.557417i
$709$	−3188.39	+	3998.11i	−0.168889	+	0.211780i	−0.859072	−	0.511855i	$-0.828959\pi$
$709$	−3188.39	+	3998.11i	−0.168889	+	0.211780i	0.690183	+	0.723635i	$0.257530\pi$
$710$	−3316.04	+	4158.19i	−0.175280	+	0.219794i
$711$	58.1463	+	254.756i	0.00306703	+	0.0134375i
$712$	890.172	−	3900.10i	0.0468548	−	0.205284i
$713$	2893.19	−	3627.94i	0.151965	−	0.190558i
$714$	−3159.08	−	1521.33i	−0.165582	−	0.0797402i
$715$	1068.51	+	514.569i	0.0558884	+	0.0269144i
$716$	−4421.23	+	19370.7i	−0.230767	+	1.01106i
$717$	−3221.18	−	4039.24i	−0.167779	−	0.210388i
$718$	12858.9	−	6192.52i	0.668370	−	0.321870i
$719$	22972.1	+	28806.1i	1.19154	+	1.49414i	0.826306	+	0.563221i	$0.190438\pi$
$719$	22972.1	+	28806.1i	1.19154	+	1.49414i	0.365230	+	0.930917i	$0.380990\pi$
$720$	−48.7994	−	213.804i	−0.00252590	−	0.0110667i
$721$	−22796.8	−	10978.4i	−1.17753	−	0.567067i
$722$	−339.511	−	1487.49i	−0.0175004	−	0.0766742i
$723$	13473.3	−	6488.39i	0.693052	−	0.333756i
$724$	−790.715			−0.0405893
$725$	−14829.9			−0.759681
$726$	9558.37	−	4603.07i	0.488629	−	0.235311i
$727$	4766.54	−	20883.6i	0.243165	−	1.06538i	−0.694951	−	0.719057i	$-0.744574\pi$
$727$	4766.54	−	20883.6i	0.243165	−	1.06538i	0.938117	−	0.346319i	$-0.112569\pi$
$728$	6546.68	−	8209.27i	0.333291	−	0.417934i
$729$	10982.8	+	13772.0i	0.557985	+	0.699692i
$730$	11740.5			0.595252
$731$	−3149.39	−	2101.75i	−0.159349	−	0.106342i
$732$	−17823.0			−0.899942
$733$	−22159.5	−	27787.1i	−1.11662	−	1.40019i	−0.906339	−	0.422551i	$-0.861135\pi$
$733$	−22159.5	−	27787.1i	−1.11662	−	1.40019i	−0.210278	−	0.977642i	$-0.567437\pi$
$734$	2662.86	−	3339.12i	0.133907	−	0.167915i
$735$	5901.14	−	25854.6i	0.296145	−	1.29750i
$736$	−6481.72	+	3121.43i	−0.324619	+	0.156328i
$737$	−6097.98			−0.304779
$738$	1284.72			0.0640801
$739$	−4604.99	+	2217.65i	−0.229225	+	0.110389i	−0.544971	−	0.838455i	$-0.683459\pi$
$739$	−4604.99	+	2217.65i	−0.229225	+	0.110389i	0.315746	+	0.948844i	$0.397745\pi$
$740$	−3929.36	−	17215.6i	−0.195197	−	0.855216i
$741$	6036.03	+	2906.80i	0.299243	+	0.144108i
$742$	5151.37	+	22569.6i	0.254869	+	1.11665i
$743$	23608.3	+	29603.9i	1.16569	+	1.46172i	0.860513	+	0.509428i	$0.170143\pi$
$743$	23608.3	+	29603.9i	1.16569	+	1.46172i	0.305173	+	0.952297i	$0.401286\pi$
$744$	−12519.7	+	6029.18i	−0.616929	+	0.297097i
$745$	−309.553	−	388.167i	−0.0152230	−	0.0190891i
$746$	−4617.63	+	20231.2i	−0.226627	+	0.992916i
$747$	2189.73	+	1054.52i	0.107253	+	0.0516503i
$748$	−608.421	−	293.000i	−0.0297408	−	0.0143224i
$749$	37107.5	−	46531.3i	1.81025	−	2.26998i
$750$	2825.86	−	12380.9i	0.137581	−	0.602781i
$751$	−1071.34	−	4693.86i	−0.0520558	−	0.228071i	0.942208	−	0.335029i	$-0.108746\pi$
$751$	−1071.34	−	4693.86i	−0.0520558	−	0.228071i	−0.994264	+	0.106958i	$0.965889\pi$
$752$	836.491	−	1048.93i	0.0405634	−	0.0508649i
$753$	2453.19	−	3076.20i	0.118724	−	0.148875i
$754$	−1410.66	−	6180.50i	−0.0681342	−	0.298516i
$755$	−3601.41	+	15778.8i	−0.173601	+	0.760596i
$756$	14172.2	−	17771.4i	0.681796	−	0.854945i
$757$	12020.8	+	5788.91i	0.577151	+	0.277941i	0.699601	−	0.714533i	$-0.253361\pi$
$757$	12020.8	+	5788.91i	0.577151	+	0.277941i	−0.122450	+	0.992475i	$0.539075\pi$
$758$	12387.9	+	5965.69i	0.593599	+	0.285862i
$759$	−420.546	+	1842.53i	−0.0201118	+	0.0881156i
$760$	−8245.05	−	10339.0i	−0.393525	−	0.493465i
$761$	16149.4	−	7777.14i	0.769271	−	0.370461i	−0.00772262	−	0.999970i	$-0.502458\pi$
$761$	16149.4	−	7777.14i	0.769271	−	0.370461i	0.776993	+	0.629509i	$0.216744\pi$
$762$	1148.57	+	1440.27i	0.0546043	+	0.0684716i
$763$	−12076.4	−	52910.3i	−0.572996	−	2.51046i
$764$	3068.33	+	1477.63i	0.145299	+	0.0699723i
$765$	58.7910	+	257.580i	0.00277855	+	0.0121736i
$766$	−15721.2	+	7570.93i	−0.741554	+	0.357113i
$767$	−5763.73			−0.271338
$768$	18860.7			0.886168
$769$	−4029.92	+	1940.71i	−0.188976	+	0.0910060i	−0.525979	−	0.850497i	$-0.676301\pi$
$769$	−4029.92	+	1940.71i	−0.188976	+	0.0910060i	0.337003	+	0.941504i	$0.390587\pi$
$770$	−789.055	+	3457.08i	−0.0369293	+	0.161798i
$771$	13076.0	−	16396.8i	0.610792	−	0.765909i
$772$	870.173	+	1091.16i	0.0405676	+	0.0508702i
$773$	33168.7			1.54333			0.771665	−	0.636029i	$-0.219424\pi$
$773$	33168.7			1.54333			0.771665	+	0.636029i	$0.219424\pi$
$774$	776.723	−	735.168i	0.0360707	−	0.0341409i
$775$	7122.52			0.330127
$776$	6370.18	+	7987.95i	0.294686	+	0.369524i
$777$	−40729.3	+	51072.9i	−1.88051	+	2.35808i
$778$	4068.49	−	17825.2i	0.187484	−	0.821420i
$779$	−23410.9	+	11274.1i	−1.07674	+	0.518531i
$780$	−3935.89			−0.180676
$781$	3789.31			0.173614
$782$	728.204	−	350.685i	0.0332999	−	0.0160364i
$783$	−7457.99	−	32675.6i	−0.340392	−	1.49135i
$784$	−6042.95	−	2910.13i	−0.275280	−	0.132568i
$785$	−934.722	−	4095.28i	−0.0424989	−	0.186200i
$786$	−3334.54	−	4181.38i	−0.151322	−	0.189752i
$787$	−5813.86	+	2799.81i	−0.263331	+	0.126814i	−0.560891	−	0.827889i	$-0.689541\pi$
$787$	−5813.86	+	2799.81i	−0.263331	+	0.126814i	0.297560	+	0.954703i	$0.403827\pi$
$788$	7076.47	+	8873.61i	0.319910	+	0.401154i
$789$	1539.78	−	6746.23i	0.0694775	−	0.304401i
$790$	−1237.06	−	595.739i	−0.0557124	−	0.0268297i
$791$	53594.0	+	25809.5i	2.40908	+	1.16015i
$792$	290.444	−	364.206i	0.0130309	−	0.0163403i
$793$	−2122.26	+	9298.21i	−0.0950359	+	0.416380i
$794$	3465.07	+	15181.5i	0.154875	+	0.678552i
$795$	13213.4	−	16569.1i	0.589475	−	0.739178i
$796$	−2085.29	+	2614.87i	−0.0928533	+	0.116434i
$797$	−1930.73	−	8459.06i	−0.0858091	−	0.375954i	0.913730	−	0.406323i	$-0.133189\pi$
$797$	−1930.73	−	8459.06i	−0.0858091	−	0.375954i	−0.999539	+	0.0303685i	$0.990332\pi$
$798$	−4457.36	+	19529.0i	−0.197731	+	0.866314i
$799$	−1007.76	+	1263.69i	−0.0446208	+	0.0559527i
$800$	−9948.94	−	4791.16i	−0.439685	−	0.211741i
$801$	411.381	+	198.111i	0.0181466	+	0.00873894i
$802$	1702.42	−	7458.80i	0.0749559	−	0.328403i
$803$	−5215.36	−	6539.85i	−0.229198	−	0.287405i
$804$	18233.4	−	8780.75i	0.799805	−	0.385166i
$805$	5983.90	+	7503.57i	0.261993	+	0.328529i
$806$	677.514	+	2968.38i	0.0296084	+	0.129723i
$807$	−3432.51	−	1653.01i	−0.149728	−	0.0721050i
$808$	6469.58	+	28345.1i	0.281682	+	1.23413i
$809$	−9259.50	+	4459.14i	−0.402406	+	0.193789i	−0.624129	−	0.781321i	$-0.714546\pi$
$809$	−9259.50	+	4459.14i	−0.402406	+	0.193789i	0.221723	+	0.975110i	$0.428832\pi$
$810$	10033.8			0.435250
$811$	31979.8			1.38466			0.692332	−	0.721579i	$-0.256584\pi$
$811$	31979.8			1.38466			0.692332	+	0.721579i	$0.256584\pi$
$812$	−38618.6	+	18597.8i	−1.66902	+	0.803760i
$813$	7739.04	−	33907.0i	0.333850	−	1.46269i
$814$	3468.81	−	4349.75i	0.149363	−	0.187295i
$815$	7854.14	+	9848.78i	0.337569	+	0.423298i
$816$	811.821			0.0348277
$817$	−7702.41	+	20212.8i	−0.329832	+	0.865553i
$818$	−16770.7			−0.716837
$819$	747.227	+	936.992i	0.0318806	+	0.0399770i
$820$	9517.84	−	11935.0i	0.405338	−	0.508278i
$821$	−1088.01	+	4766.86i	−0.0462505	+	0.202637i	−0.992774	−	0.119998i	$-0.961711\pi$
$821$	−1088.01	+	4766.86i	−0.0462505	+	0.202637i	0.946524	+	0.322634i	$0.104568\pi$
$822$	13772.4	−	6632.46i	0.584391	−	0.281428i
$823$	−27193.5			−1.15177			−0.575884	−	0.817531i	$-0.695342\pi$
$823$	−27193.5			−1.15177			−0.575884	+	0.817531i	$0.695342\pi$
$824$	−17466.0			−0.738417
$825$	−2613.60	+	1258.64i	−0.110296	+	0.0531156i
$826$	−3834.78	−	16801.2i	−0.161536	−	0.707736i
$827$	4676.05	+	2251.87i	0.196617	+	0.0946857i	0.529602	−	0.848247i	$-0.322341\pi$
$827$	4676.05	+	2251.87i	0.196617	+	0.0946857i	−0.332985	+	0.942932i	$0.608056\pi$
$828$	−114.879	−	503.317i	−0.00482163	−	0.0211250i
$829$	13747.0	+	17238.2i	0.575938	+	0.722204i	0.981414	−	0.191902i	$-0.0614656\pi$
$829$	13747.0	+	17238.2i	0.575938	+	0.722204i	−0.405476	+	0.914106i	$0.632894\pi$
$830$	−11505.9	+	5540.97i	−0.481177	+	0.231723i
$831$	−7065.38	−	8859.70i	−0.294940	−	0.369843i
$832$	730.931	−	3202.42i	0.0304573	−	0.133442i
$833$	7280.22	+	3505.97i	0.302815	+	0.145828i
$834$	−10442.6	−	5028.88i	−0.433570	−	0.208796i
$835$	−13399.2	+	16802.0i	−0.555326	+	0.696357i
$836$	−858.462	+	3761.17i	−0.0355150	+	0.155601i
$837$	3581.93	+	15693.5i	0.147921	+	0.648083i
$838$	4957.59	−	6216.62i	0.204364	−	0.256265i
$839$	−15417.6	+	19333.0i	−0.634415	+	0.795531i	−0.990292	−	0.139002i	$-0.955611\pi$
$839$	−15417.6	+	19333.0i	−0.634415	+	0.795531i	0.355878	+	0.934533i	$0.384182\pi$
$840$	−6395.33	−	28019.8i	−0.262690	−	1.15092i
$841$	−8636.69	+	37839.8i	−0.354122	+	1.55151i
$842$	3660.53	−	4590.16i	0.149822	−	0.187871i
$843$	−16570.1	−	7979.74i	−0.676992	−	0.326022i
$844$	21738.1	+	10468.5i	0.886559	+	0.426944i
$845$	3503.33	−	15349.1i	0.142625	−	0.624881i
$846$	−284.651	−	356.941i	−0.0115680	−	0.0145058i
$847$	−34583.2	+	16654.4i	−1.40294	+	0.675622i
$848$	−3341.87	−	4190.58i	−0.135331	−	0.169699i
$849$	8252.12	+	36154.9i	0.333583	+	1.46152i
$850$	1117.74	+	538.273i	0.0451036	+	0.0217207i
$851$	−3350.73	−	14680.5i	−0.134973	−	0.591354i
$852$	−11330.3	+	5456.40i	−0.455600	+	0.219405i
$853$	−23989.1			−0.962922			−0.481461	−	0.876468i	$-0.659894\pi$
$853$	−23989.1			−0.962922			−0.481461	+	0.876468i	$0.659894\pi$
$854$	−28516.3			−1.14263
$855$	1359.89	−	654.890i	0.0543946	−	0.0261951i
$856$	9141.81	−	40052.9i	0.365024	−	1.59928i
$857$	−6374.77	+	7993.71i	−0.254093	+	0.318623i	−0.892475	−	0.451097i	$-0.851033\pi$
$857$	−6374.77	+	7993.71i	−0.254093	+	0.318623i	0.638381	+	0.769720i	$0.279604\pi$
$858$	−773.165	−	969.518i	−0.0307639	−	0.0385767i
$859$	−20256.5			−0.804590			−0.402295	−	0.915510i	$-0.631787\pi$
$859$	−20256.5			−0.804590			−0.402295	+	0.915510i	$0.631787\pi$
$860$	−1075.33	−	12662.2i	−0.0426379	−	0.502068i
$861$	−56472.3			−2.23527
$862$	461.309	+	578.463i	0.0182277	+	0.0228568i
$863$	−13703.0	+	17183.1i	−0.540507	+	0.677774i	−0.974821	−	0.222987i	$-0.928419\pi$
$863$	−13703.0	+	17183.1i	−0.540507	+	0.677774i	0.434315	+	0.900761i	$0.356991\pi$
$864$	5553.29	−	24330.6i	0.218665	−	0.958036i
$865$	14899.1	−	7175.04i	0.585648	−	0.282033i
$866$	−783.278			−0.0307354
$867$	25670.9			1.00557
$868$	18547.8	−	8932.15i	0.725292	−	0.349282i
$869$	217.682	+	953.729i	0.00849755	+	0.0372302i
$870$	−15633.7	−	7528.79i	−0.609232	−	0.293391i
$871$	−2409.77	−	10557.9i	−0.0937449	−	0.410723i
$872$	−23357.5	−	29289.3i	−0.907091	−	1.13746i
$873$	−1050.66	+	505.972i	−0.0407326	+	0.0196158i
$874$	−2878.91	−	3610.04i	−0.111419	−	0.139716i
$875$	−10224.3	+	44795.4i	−0.395020	+	1.73070i
$876$	25011.3	+	12044.8i	0.964675	+	0.464563i
$877$	10262.5	+	4942.15i	0.395142	+	0.190290i	0.620894	−	0.783894i	$-0.286770\pi$
$877$	10262.5	+	4942.15i	0.395142	+	0.190290i	−0.225752	+	0.974185i	$0.572484\pi$
$878$	14758.2	−	18506.2i	0.567272	−	0.711336i
$879$	8225.16	−	36036.8i	0.315617	−	1.38281i
$880$	−182.691	−	800.420i	−0.00699829	−	0.0306615i
$881$	22960.4	−	28791.4i	0.878042	−	1.10103i	−0.116131	−	0.993234i	$-0.537049\pi$
$881$	22960.4	−	28791.4i	0.878042	−	1.10103i	0.994173	−	0.107796i	$-0.0343792\pi$
$882$	−1423.05	+	1784.45i	−0.0543272	+	0.0681241i
$883$	6118.23	+	26805.7i	0.233176	+	1.02161i	0.946987	+	0.321273i	$0.104111\pi$
$883$	6118.23	+	26805.7i	0.233176	+	1.02161i	−0.713810	+	0.700339i	$0.753032\pi$
$884$	266.860	−	1169.19i	0.0101533	−	0.0444843i
$885$	−9836.33	+	12334.4i	−0.373610	+	0.468492i
$886$	−12268.2	−	5908.08i	−0.465192	−	0.224024i
$887$	35500.5	+	17096.1i	1.34384	+	0.647161i	0.960974	−	0.276640i	$-0.0892211\pi$
$887$	35500.5	+	17096.1i	1.34384	+	0.647161i	0.382871	+	0.923802i	$0.374935\pi$
$888$	−10034.1	+	43962.1i	−0.379191	+	1.66134i
$889$	−4155.67	−	5211.04i	−0.156779	−	0.196595i
$890$	−2161.60	+	1040.97i	−0.0814124	+	0.0392061i
$891$	−4457.23	−	5589.19i	−0.167590	−	0.210152i
$892$	−2918.88	−	12788.5i	−0.109564	−	0.480033i
$893$	8319.42	+	4006.42i	0.311757	+	0.150134i
$894$	115.518	+	506.116i	0.00432158	+	0.0189341i
$895$	26219.7	−	12626.8i	0.979250	−	0.471582i
$896$	−36209.1			−1.35007
$897$	−3356.30			−0.124932
$898$	−21837.3	+	10516.3i	−0.811491	+	0.390794i
$899$	6754.56	−	29593.6i	0.250586	−	1.09789i
$900$	494.066	−	619.539i	0.0182987	−	0.0229459i
$901$	4026.11	+	5048.58i	0.148867	+	0.186673i
$902$	4809.60			0.177541
$903$	−34142.4	+	32315.8i	−1.25824	+	1.19092i
$904$	41061.5			1.51071
$905$	722.097	+	905.481i	0.0265230	+	0.0332588i
$906$	10551.2	−	13230.8i	0.386911	−	0.485171i
$907$	187.430	−	821.184i	0.00686164	−	0.0300628i	−0.971381	−	0.237526i	$-0.923664\pi$
$907$	187.430	−	821.184i	0.00686164	−	0.0300628i	0.978243	+	0.207463i	$0.0665207\pi$
$908$	33047.2	−	15914.7i	1.20783	−	0.581660i
$909$	−3318.46			−0.121085
$910$	−6297.30			−0.229399
$911$	6836.86	−	3292.46i	0.248645	−	0.119741i	−0.305411	−	0.952221i	$-0.598794\pi$
$911$	6836.86	−	3292.46i	0.248645	−	0.119741i	0.554055	+	0.832480i	$0.313080\pi$
$912$	−1032.02	−	4521.56i	−0.0374710	−	0.164171i
$913$	8197.69	+	3947.80i	0.297157	+	0.143103i
$914$	2556.79	+	11202.0i	0.0925285	+	0.405394i
$915$	16276.3	+	20409.9i	0.588064	+	0.737410i
$916$	10823.5	−	5212.34i	0.390415	−	0.188014i
$917$	12064.7	+	15128.7i	0.434473	+	0.544812i
$918$	−623.897	+	2733.47i	−0.0224310	+	0.0982767i
$919$	−1014.76	−	488.683i	−0.0364242	−	0.0175410i	0.415583	−	0.909555i	$-0.363578\pi$
$919$	−1014.76	−	488.683i	−0.0364242	−	0.0175410i	−0.452007	+	0.892014i	$0.649292\pi$
$920$	5968.89	+	2874.47i	0.213900	+	0.103009i
$921$	−5425.54	+	6803.41i	−0.194112	+	0.243409i
$922$	−688.875	+	3018.16i	−0.0246062	+	0.107807i
$923$	1497.44	+	6560.72i	0.0534007	+	0.233964i
$924$	−5227.67	+	6555.29i	−0.186123	+	0.233391i
$925$	14410.7	−	18070.4i	0.512239	−	0.642327i
$926$	2664.16	+	11672.4i	0.0945462	+	0.414234i
$927$	443.604	−	1943.55i	0.0157172	−	0.0688616i
$928$	−29341.9	+	36793.6i	−1.03793	+	1.30152i
$929$	−11247.0	−	5416.25i	−0.397202	−	0.191283i	0.224610	−	0.974449i	$-0.427889\pi$
$929$	−11247.0	−	5416.25i	−0.397202	−	0.191283i	−0.621812	+	0.783166i	$0.713603\pi$
$930$	7508.57	+	3615.94i	0.264748	+	0.127496i
$931$	10272.2	−	45005.3i	0.361607	−	1.58430i
$932$	8884.51	+	11140.8i	0.312255	+	0.391556i
$933$	−11329.4	+	5455.94i	−0.397543	+	0.191447i
$934$	3914.11	+	4908.14i	0.137124	+	0.171948i
$935$	220.096	+	964.303i	0.00769829	+	0.0337284i
$936$	745.352	+	358.943i	0.0260284	+	0.0125346i
$937$	−11292.1	−	49473.9i	−0.393700	−	1.72491i	−0.651441	−	0.758699i	$-0.725835\pi$
$937$	−11292.1	−	49473.9i	−0.393700	−	1.72491i	0.257741	−	0.966214i	$-0.417022\pi$
$938$	29172.9	−	14048.9i	1.01549	−	0.489034i
$939$	23763.2			0.825860
$940$	−5424.82			−0.188232
$941$	−19557.0	+	9418.15i	−0.677513	+	0.326273i	−0.740803	−	0.671722i	$-0.765555\pi$
$941$	−19557.0	+	9418.15i	−0.677513	+	0.326273i	0.0632903	+	0.997995i	$0.479841\pi$
$942$	−977.360	+	4282.10i	−0.0338048	+	0.148108i
$943$	8116.28	−	10177.5i	0.280278	−	0.351458i
$944$	2487.75	+	3119.54i	0.0857728	+	0.107556i
$945$	−33293.1			−1.14606
$946$	2907.82	−	2752.25i	0.0999380	−	0.0945913i
$947$	16594.0			0.569412			0.284706	−	0.958615i	$-0.408104\pi$
$947$	16594.0			0.569412			0.284706	+	0.958615i	$0.408104\pi$
$948$	−2024.20	−	2538.27i	−0.0693492	−	0.0869612i
$949$	9261.95	−	11614.1i	0.316813	−	0.397271i
$950$	1577.09	−	6909.68i	0.0538605	−	0.235978i
$951$	45480.7	−	21902.3i	1.55080	−	0.746827i
$952$	8757.13			0.298131
$953$	5575.02			0.189499			0.0947495	−	0.995501i	$-0.469795\pi$
$953$	5575.02			0.189499			0.0947495	+	0.995501i	$0.469795\pi$
$954$	−1643.32	+	791.381i	−0.0557698	+	0.0268573i
$955$	−1109.97	−	4863.08i	−0.0376101	−	0.164781i
$956$	4760.18	+	2292.38i	0.161041	+	0.0775532i
$957$	2751.01	+	12053.0i	0.0929233	+	0.407124i
$958$	9996.28	+	12534.9i	0.337124	+	0.422740i
$959$	−49830.2	+	23997.0i	−1.67789	+	0.808032i
$960$	−5605.77	−	7029.42i	−0.188464	−	0.236327i
$961$	3385.03	−	14830.8i	0.113626	−	0.497828i
$962$	8901.82	+	4286.89i	0.298343	+	0.143674i
$963$	4224.76	+	2034.54i	0.141372	+	0.0680811i
$964$	−9534.98	+	11956.5i	−0.318570	+	0.399474i
$965$	454.876	−	1992.94i	0.0151741	−	0.0664820i
$966$	−2233.05	−	9783.62i	−0.0743759	−	0.325862i
$967$	15730.9	−	19726.0i	0.523137	−	0.655993i	−0.448135	−	0.893966i	$-0.647912\pi$
$967$	15730.9	−	19726.0i	0.523137	−	0.655993i	0.971272	+	0.237973i	$0.0764831\pi$
$968$	−16520.1	+	20715.6i	−0.548531	+	0.687836i
$969$	1243.32	+	5447.34i	0.0412190	+	0.180592i
$970$	1363.50	−	5973.89i	0.0451334	−	0.197742i
$971$	23600.9	−	29594.6i	0.780010	−	0.978101i	−0.219987	−	0.975503i	$-0.570601\pi$
$971$	23600.9	−	29594.6i	0.780010	−	0.978101i	0.999997	−	0.00259839i	$-0.000827096\pi$
$972$	3386.05	+	1630.63i	0.111736	+	0.0538093i
$973$	37782.4	+	18195.0i	1.24486	+	0.599493i
$974$	1414.21	−	6196.06i	0.0465239	−	0.203834i
$975$	−3212.01	−	4027.73i	−0.105504	−	0.132298i
$976$	5948.55	−	2864.67i	0.195091	−	0.0939507i
$977$	−15500.8	−	19437.4i	−0.507590	−	0.636497i	0.460333	−	0.887746i	$-0.347730\pi$
$977$	−15500.8	−	19437.4i	−0.507590	−	0.636497i	−0.967922	+	0.251249i	$0.919159\pi$
$978$	−2930.98	−	12841.4i	−0.0958305	−	0.419861i
$979$	1540.09	+	741.667i	0.0502772	+	0.0242122i
$980$	6034.80	+	26440.2i	0.196709	+	0.861838i
$981$	3852.46	−	1855.24i	0.125382	−	0.0603806i
$982$	6084.47			0.197722
$983$	−38582.6			−1.25187			−0.625937	−	0.779873i	$-0.715283\pi$
$983$	−38582.6			−1.25187			−0.625937	+	0.779873i	$0.715283\pi$
$984$	−35121.6	+	16913.7i	−1.13784	+	0.547956i
$985$	3699.17	−	16207.1i	0.119660	−	0.524266i
$986$	3296.49	−	4133.66i	0.106472	−	0.133512i
$987$	12512.4	+	15690.1i	0.403520	+	0.505998i
$988$	−6851.23			−0.220614
$989$	−916.984	−	10797.6i	−0.0294827	−	0.347164i
$990$	−279.381			−0.00896900
$991$	−28297.7	−	35484.2i	−0.907069	−	1.13743i	−0.990027	−	0.140875i	$-0.955008\pi$
$991$	−28297.7	−	35484.2i	−0.907069	−	1.13743i	0.0829584	−	0.996553i	$-0.473563\pi$
$992$	14092.4	−	17671.3i	0.451042	−	0.565589i
$993$	−6256.38	+	27411.0i	−0.199940	+	0.875994i
$994$	−18128.2	+	8730.07i	−0.578462	+	0.278572i
$995$	4898.74			0.156081
$996$	−30196.3			−0.960650
$997$	−50319.5	+	24232.6i	−1.59843	+	0.769763i	−0.999518	−	0.0310534i	$-0.990114\pi$
$997$	−50319.5	+	24232.6i	−1.59843	+	0.769763i	−0.598911	+	0.800816i	$0.704400\pi$
$998$	−2790.14	−	12224.4i	−0.0884973	−	0.387732i
$999$	47062.8	+	22664.3i	1.49049	+	0.717783i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	43.4.e.a.11.4	yes	60
43.2	odd	14		1849.4.a.g.1.20		30
43.4	even	7	inner	43.4.e.a.4.4	✓	60
43.41	even	7		1849.4.a.h.1.11		30

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
43.4.e.a.4.4	✓	60	43.4	even	7	inner
43.4.e.a.11.4	yes	60	1.1	even	1	trivial
1849.4.a.g.1.20		30	43.2	odd	14
1849.4.a.h.1.11		30	43.41	even	7

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:	\( N \)	\(=\)	\( 43 \)
Weight:	\( k \)	\(=\)	\( 4 \)
Character orbit:	\([\chi]\)	\(=\)	43.e (of order \(7\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.976506 - 1.22450i) q^{2} +(-3.38192 + 4.24079i) q^{3} +(1.23433 - 5.40796i) q^{4} +(-7.32010 + 3.52517i) q^{5} +8.49531 q^{6} -30.7370 q^{7} +(-19.1161 + 9.20584i) q^{8} +(-0.538880 - 2.36099i) q^{9} +O(q^{10})\)	\(q+(-0.976506 - 1.22450i) q^{2} +(-3.38192 + 4.24079i) q^{3} +(1.23433 - 5.40796i) q^{4} +(-7.32010 + 3.52517i) q^{5} +8.49531 q^{6} -30.7370 q^{7} +(-19.1161 + 9.20584i) q^{8} +(-0.538880 - 2.36099i) q^{9} +(11.4647 + 5.52111i) q^{10} +(-2.01741 - 8.83884i) q^{11} +(18.7596 + 23.5238i) q^{12} +(14.5061 - 6.98577i) q^{13} +(30.0148 + 37.6374i) q^{14} +(9.80646 - 42.9649i) q^{15} +(-10.0421 - 4.83603i) q^{16} +(12.0982 + 5.82619i) q^{17} +(-2.36481 + 2.96538i) q^{18} +(17.0702 - 74.7893i) q^{19} +(10.0286 + 43.9381i) q^{20} +(103.950 - 130.349i) q^{21} +(-8.85314 + 11.1015i) q^{22} +(8.55180 + 37.4679i) q^{23} +(25.6091 - 112.201i) q^{24} +(-36.7792 + 46.1197i) q^{25} +(-22.7194 - 10.9411i) q^{26} +(-120.115 - 57.8441i) q^{27} +(-37.9396 + 166.224i) q^{28} +(156.745 + 196.552i) q^{29} +(-62.1866 + 29.9475i) q^{30} +(-75.2818 - 94.4004i) q^{31} +(41.6548 + 182.502i) q^{32} +(44.3064 + 21.3368i) q^{33} +(-4.67980 - 20.5036i) q^{34} +(224.998 - 108.353i) q^{35} -13.4333 q^{36} -391.816 q^{37} +(-108.249 + 52.1298i) q^{38} +(-19.4333 + 85.1427i) q^{39} +(107.480 - 134.775i) q^{40} +(-211.188 - 264.822i) q^{41} -261.120 q^{42} +(-279.224 - 39.2571i) q^{43} -50.2902 q^{44} +(12.2676 + 15.3830i) q^{45} +(37.5285 - 47.0593i) q^{46} +(-26.7847 + 117.352i) q^{47} +(54.4702 - 26.2315i) q^{48} +601.761 q^{49} +92.3886 q^{50} +(-65.6228 + 31.6023i) q^{51} +(-19.8734 - 87.0712i) q^{52} +(433.266 + 208.650i) q^{53} +(46.4624 + 203.565i) q^{54} +(45.9261 + 57.5895i) q^{55} +(587.571 - 282.959i) q^{56} +(259.436 + 325.322i) q^{57} +(87.6156 - 383.869i) q^{58} +(-322.532 - 155.323i) q^{59} +(-220.248 - 106.066i) q^{60} +(-369.331 + 463.126i) q^{61} +(-42.0801 + 184.365i) q^{62} +(16.5635 + 72.5696i) q^{63} +(127.202 - 159.506i) q^{64} +(-81.5600 + 102.273i) q^{65} +(-17.1385 - 75.0887i) q^{66} +(149.670 - 655.746i) q^{67} +(46.4410 - 58.2352i) q^{68} +(-187.815 - 90.4469i) q^{69} +(-352.390 - 169.702i) q^{70} +(-93.0055 + 407.484i) q^{71} +(32.0362 + 40.1721i) q^{72} +(831.270 - 400.319i) q^{73} +(382.611 + 479.779i) q^{74} +(-71.1996 - 311.946i) q^{75} +(-383.387 - 184.630i) q^{76} +(62.0090 + 271.679i) q^{77} +(123.234 - 59.3463i) q^{78} -107.902 q^{79} +90.5571 q^{80} +(710.433 - 342.127i) q^{81} +(-118.048 + 517.200i) q^{82} +(-625.732 + 784.644i) q^{83} +(-576.614 - 723.051i) q^{84} -109.098 q^{85} +(224.593 + 380.244i) q^{86} -1363.64 q^{87} +(119.934 + 150.392i) q^{88} +(-117.555 + 147.410i) q^{89} +(6.85717 - 30.0432i) q^{90} +(-445.873 + 214.721i) q^{91} +213.181 q^{92} +654.930 q^{93} +(169.853 - 81.7967i) q^{94} +(138.690 + 607.640i) q^{95} +(-914.825 - 440.556i) q^{96} +(-107.153 - 469.467i) q^{97} +(-587.623 - 736.856i) q^{98} +(-19.7812 + 9.52615i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 60 q - 9 q^{2} - 3 q^{3} - 31 q^{4} - 23 q^{5} + 16 q^{6} + 96 q^{7} + 61 q^{8} - 177 q^{9}+O(q^{10}) \) 60 * q - 9 * q^2 - 3 * q^3 - 31 * q^4 - 23 * q^5 + 16 * q^6 + 96 * q^7 + 61 * q^8 - 177 * q^9	\( 60 q - 9 q^{2} - 3 q^{3} - 31 q^{4} - 23 q^{5} + 16 q^{6} + 96 q^{7} + 61 q^{8} - 177 q^{9} - 61 q^{10} + 83 q^{11} + 33 q^{12} + 107 q^{13} - 299 q^{14} + 109 q^{15} + 41 q^{16} + 181 q^{17} - 414 q^{18} + 284 q^{19} - 363 q^{20} - 88 q^{21} + 421 q^{22} + 231 q^{23} - 937 q^{24} + 213 q^{25} + 139 q^{26} - 27 q^{27} + 29 q^{28} - 367 q^{29} + 1244 q^{30} - 319 q^{31} + 435 q^{32} - 2594 q^{33} - 583 q^{34} - 902 q^{35} + 1552 q^{36} + 1020 q^{37} + 1251 q^{38} - 1571 q^{39} + 1263 q^{40} + 293 q^{41} - 1830 q^{42} + 1661 q^{43} + 6512 q^{44} + 1019 q^{45} - 2786 q^{46} - 287 q^{47} - 95 q^{48} + 772 q^{49} - 282 q^{50} + 1524 q^{51} - 1511 q^{52} - 1505 q^{53} - 3489 q^{54} - 1735 q^{55} - 1237 q^{56} + 1055 q^{57} + 335 q^{58} + 571 q^{59} - 101 q^{60} - 339 q^{61} + 923 q^{62} - 702 q^{63} - 5163 q^{64} + 2463 q^{65} + 985 q^{66} - 241 q^{67} + 2904 q^{68} + 2711 q^{69} - 7698 q^{70} - 2431 q^{71} - 4340 q^{72} - 2157 q^{73} - 1294 q^{74} - 242 q^{75} - 4272 q^{76} - 3962 q^{77} - 2860 q^{78} + 1092 q^{79} + 11618 q^{80} + 12060 q^{81} + 4023 q^{82} - 2664 q^{83} + 3334 q^{84} - 3446 q^{85} + 10055 q^{86} + 11874 q^{87} + 9957 q^{88} - 5811 q^{89} - 1612 q^{90} - 760 q^{91} + 2120 q^{92} + 3994 q^{93} + 6057 q^{94} + 379 q^{95} - 2044 q^{96} - 5509 q^{97} - 9041 q^{98} - 2012 q^{99}+O(q^{100}) \) 60 * q - 9 * q^2 - 3 * q^3 - 31 * q^4 - 23 * q^5 + 16 * q^6 + 96 * q^7 + 61 * q^8 - 177 * q^9 - 61 * q^10 + 83 * q^11 + 33 * q^12 + 107 * q^13 - 299 * q^14 + 109 * q^15 + 41 * q^16 + 181 * q^17 - 414 * q^18 + 284 * q^19 - 363 * q^20 - 88 * q^21 + 421 * q^22 + 231 * q^23 - 937 * q^24 + 213 * q^25 + 139 * q^26 - 27 * q^27 + 29 * q^28 - 367 * q^29 + 1244 * q^30 - 319 * q^31 + 435 * q^32 - 2594 * q^33 - 583 * q^34 - 902 * q^35 + 1552 * q^36 + 1020 * q^37 + 1251 * q^38 - 1571 * q^39 + 1263 * q^40 + 293 * q^41 - 1830 * q^42 + 1661 * q^43 + 6512 * q^44 + 1019 * q^45 - 2786 * q^46 - 287 * q^47 - 95 * q^48 + 772 * q^49 - 282 * q^50 + 1524 * q^51 - 1511 * q^52 - 1505 * q^53 - 3489 * q^54 - 1735 * q^55 - 1237 * q^56 + 1055 * q^57 + 335 * q^58 + 571 * q^59 - 101 * q^60 - 339 * q^61 + 923 * q^62 - 702 * q^63 - 5163 * q^64 + 2463 * q^65 + 985 * q^66 - 241 * q^67 + 2904 * q^68 + 2711 * q^69 - 7698 * q^70 - 2431 * q^71 - 4340 * q^72 - 2157 * q^73 - 1294 * q^74 - 242 * q^75 - 4272 * q^76 - 3962 * q^77 - 2860 * q^78 + 1092 * q^79 + 11618 * q^80 + 12060 * q^81 + 4023 * q^82 - 2664 * q^83 + 3334 * q^84 - 3446 * q^85 + 10055 * q^86 + 11874 * q^87 + 9957 * q^88 - 5811 * q^89 - 1612 * q^90 - 760 * q^91 + 2120 * q^92 + 3994 * q^93 + 6057 * q^94 + 379 * q^95 - 2044 * q^96 - 5509 * q^97 - 9041 * q^98 - 2012 * q^99

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