LMFDB - Embedded newform 25.4.e.a.14.4

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [25,4,Mod(4,25)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(25, base_ring=CyclotomicField(10))

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

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

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

chi := DirichletCharacter("25.4");

S:= CuspForms(chi, 4);

N := Newforms(S);

Level:	$ N $	$=$	$ 25 = 5^{2} $
Weight:	$ k $	$=$	$ 4 $
Character orbit:	$[\chi]$	$=$	25.e (of order $10$, 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:	$1.47504775014$
Analytic rank:	$0$
Dimension:	$24$
Relative dimension:	$6$ over $\Q(\zeta_{10})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label			14.4
Character	$\chi$	$=$	25.14
Dual form			25.4.e.a.9.4

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.217515 - 0.299383i) q^{2} +(2.64413 + 0.859131i) q^{3} +(2.42982 - 7.47821i) q^{4} +(7.78705 + 8.02258i) q^{5} +(-0.317928 - 0.978483i) q^{6} -0.707538i q^{7} +(-5.58294 + 1.81401i) q^{8} +(-15.5901 - 11.3269i) q^{9} +O(q^{10})$	\(q+(-0.217515 - 0.299383i) q^{2} +(2.64413 + 0.859131i) q^{3} +(2.42982 - 7.47821i) q^{4} +(7.78705 + 8.02258i) q^{5} +(-0.317928 - 0.978483i) q^{6} -0.707538i q^{7} +(-5.58294 + 1.81401i) q^{8} +(-15.5901 - 11.3269i) q^{9} +(0.708030 - 4.07634i) q^{10} +(-36.2482 + 26.3359i) q^{11} +(12.8495 - 17.6859i) q^{12} +(-28.2037 + 38.8191i) q^{13} +(-0.211825 + 0.153900i) q^{14} +(13.6975 + 27.9029i) q^{15} +(-49.1333 - 35.6974i) q^{16} +(95.0584 - 30.8863i) q^{17} +7.13119i q^{18} +(-17.2149 - 52.9822i) q^{19} +(78.9157 - 38.7398i) q^{20} +(0.607867 - 1.87082i) q^{21} +(15.7690 + 5.12367i) q^{22} +(68.7145 + 94.5774i) q^{23} -16.3205 q^{24} +(-3.72371 + 124.945i) q^{25} +17.7565 q^{26} +(-75.6135 - 104.073i) q^{27} +(-5.29112 - 1.71919i) q^{28} +(35.9768 - 110.725i) q^{29} +(5.37424 - 10.1701i) q^{30} +(-19.5832 - 60.2708i) q^{31} +69.4365i q^{32} +(-118.471 + 38.4936i) q^{33} +(-29.9234 - 21.7407i) q^{34} +(5.67628 - 5.50963i) q^{35} +(-122.586 + 89.0640i) q^{36} +(-69.5209 + 95.6873i) q^{37} +(-12.1175 + 16.6783i) q^{38} +(-107.925 + 78.4122i) q^{39} +(-58.0277 - 30.6639i) q^{40} +(147.207 + 106.952i) q^{41} +(-0.692314 + 0.224946i) q^{42} -418.309i q^{43} +(108.869 + 335.063i) q^{44} +(-30.5302 - 213.276i) q^{45} +(13.3685 - 41.1440i) q^{46} +(-146.063 - 47.4586i) q^{47} +(-99.2463 - 136.601i) q^{48} +342.499 q^{49} +(38.2163 - 26.0625i) q^{50} +277.882 q^{51} +(221.767 + 305.237i) q^{52} +(475.549 + 154.515i) q^{53} +(-14.7107 + 45.2749i) q^{54} +(-493.548 - 85.7256i) q^{55} +(1.28348 + 3.95014i) q^{56} -154.882i q^{57} +(-40.9747 + 13.3135i) q^{58} +(-74.8217 - 54.3611i) q^{59} +(241.946 - 34.6342i) q^{60} +(522.379 - 379.530i) q^{61} +(-13.7844 + 18.9727i) q^{62} +(-8.01420 + 11.0306i) q^{63} +(-372.278 + 270.476i) q^{64} +(-531.053 + 76.0195i) q^{65} +(37.2936 + 27.0954i) q^{66} +(-890.734 + 289.417i) q^{67} -785.915i q^{68} +(100.436 + 309.110i) q^{69} +(-2.88417 - 0.500958i) q^{70} +(-48.2183 + 148.401i) q^{71} +(107.586 + 34.9568i) q^{72} +(353.728 + 486.865i) q^{73} +43.7690 q^{74} +(-117.190 + 327.171i) q^{75} -438.041 q^{76} +(18.6336 + 25.6470i) q^{77} +(46.9506 + 15.2552i) q^{78} +(208.101 - 640.470i) q^{79} +(-96.2179 - 672.154i) q^{80} +(50.2624 + 154.692i) q^{81} -67.3351i q^{82} +(-1274.30 + 414.045i) q^{83} +(-12.5134 - 9.09152i) q^{84} +(988.012 + 522.100i) q^{85} +(-125.235 + 90.9883i) q^{86} +(190.255 - 261.863i) q^{87} +(154.598 - 212.786i) q^{88} +(-109.125 + 79.2838i) q^{89} +(-57.2106 + 55.5309i) q^{90} +(27.4660 + 19.9552i) q^{91} +(874.233 - 284.056i) q^{92} -176.188i q^{93} +(17.5625 + 54.0517i) q^{94} +(291.000 - 550.683i) q^{95} +(-59.6550 + 183.599i) q^{96} +(277.916 + 90.3005i) q^{97} +(-74.4987 - 102.539i) q^{98} +863.418 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 24 q - 5 q^{2} - 5 q^{3} + 13 q^{4} + 15 q^{5} - 7 q^{6} - 110 q^{8} + 47 q^{9}+O(q^{10}) $ 24 * q - 5 * q^2 - 5 * q^3 + 13 * q^4 + 15 * q^5 - 7 * q^6 - 110 * q^8 + 47 * q^9	\( 24 q - 5 q^{2} - 5 q^{3} + 13 q^{4} + 15 q^{5} - 7 q^{6} - 110 q^{8} + 47 q^{9} - 5 q^{10} + 83 q^{11} - 165 q^{12} - 5 q^{13} + 31 q^{14} - 225 q^{15} + 89 q^{16} - 165 q^{17} - 115 q^{19} + 395 q^{20} + 138 q^{21} + 30 q^{22} + 75 q^{23} + 640 q^{24} + 595 q^{25} - 822 q^{26} + 595 q^{27} + 675 q^{28} + 125 q^{29} - 965 q^{30} + 633 q^{31} - 1285 q^{33} - 779 q^{34} + 190 q^{35} - 531 q^{36} - 1510 q^{37} + 255 q^{38} - 1241 q^{39} - 2470 q^{40} - 117 q^{41} + 1745 q^{42} + 516 q^{44} + 1725 q^{45} + 1233 q^{46} - 95 q^{47} + 1410 q^{48} + 1148 q^{49} + 2165 q^{50} - 2022 q^{51} + 1740 q^{52} + 2580 q^{53} + 1745 q^{54} - 315 q^{55} + 3160 q^{56} - 4230 q^{58} - 1905 q^{59} + 560 q^{60} - 567 q^{61} - 6880 q^{62} - 1950 q^{63} - 3612 q^{64} - 3170 q^{65} - 2774 q^{66} + 4195 q^{67} + 539 q^{69} + 3630 q^{70} + 2473 q^{71} + 215 q^{72} - 845 q^{73} + 3596 q^{74} + 2045 q^{75} - 3280 q^{76} + 3870 q^{77} + 9295 q^{78} + 775 q^{79} - 3670 q^{80} + 3309 q^{81} - 4625 q^{83} - 5694 q^{84} - 1460 q^{85} - 3897 q^{86} - 8485 q^{87} - 1650 q^{88} - 2410 q^{89} - 8845 q^{90} - 382 q^{91} + 4090 q^{92} + 5401 q^{94} + 3545 q^{95} + 6488 q^{96} + 5185 q^{97} + 5180 q^{98} + 6024 q^{99}+O(q^{100}) \) 24 * q - 5 * q^2 - 5 * q^3 + 13 * q^4 + 15 * q^5 - 7 * q^6 - 110 * q^8 + 47 * q^9 - 5 * q^10 + 83 * q^11 - 165 * q^12 - 5 * q^13 + 31 * q^14 - 225 * q^15 + 89 * q^16 - 165 * q^17 - 115 * q^19 + 395 * q^20 + 138 * q^21 + 30 * q^22 + 75 * q^23 + 640 * q^24 + 595 * q^25 - 822 * q^26 + 595 * q^27 + 675 * q^28 + 125 * q^29 - 965 * q^30 + 633 * q^31 - 1285 * q^33 - 779 * q^34 + 190 * q^35 - 531 * q^36 - 1510 * q^37 + 255 * q^38 - 1241 * q^39 - 2470 * q^40 - 117 * q^41 + 1745 * q^42 + 516 * q^44 + 1725 * q^45 + 1233 * q^46 - 95 * q^47 + 1410 * q^48 + 1148 * q^49 + 2165 * q^50 - 2022 * q^51 + 1740 * q^52 + 2580 * q^53 + 1745 * q^54 - 315 * q^55 + 3160 * q^56 - 4230 * q^58 - 1905 * q^59 + 560 * q^60 - 567 * q^61 - 6880 * q^62 - 1950 * q^63 - 3612 * q^64 - 3170 * q^65 - 2774 * q^66 + 4195 * q^67 + 539 * q^69 + 3630 * q^70 + 2473 * q^71 + 215 * q^72 - 845 * q^73 + 3596 * q^74 + 2045 * q^75 - 3280 * q^76 + 3870 * q^77 + 9295 * q^78 + 775 * q^79 - 3670 * q^80 + 3309 * q^81 - 4625 * q^83 - 5694 * q^84 - 1460 * q^85 - 3897 * q^86 - 8485 * q^87 - 1650 * q^88 - 2410 * q^89 - 8845 * q^90 - 382 * q^91 + 4090 * q^92 + 5401 * q^94 + 3545 * q^95 + 6488 * q^96 + 5185 * q^97 + 5180 * q^98 + 6024 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/25\mathbb{Z}\right)^\times$.

$n$	$2$
$\chi(n)$	$e\left(\frac{3}{10}\right)$

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 $

$2$	−0.217515	−	0.299383i	−0.0769031	−	0.105848i	0.768833	−	0.639450i	$-0.220838\pi$
$2$	−0.217515	−	0.299383i	−0.0769031	−	0.105848i	−0.845736	+	0.533602i	$0.820838\pi$
$3$	2.64413	+	0.859131i	0.508864	+	0.165340i	0.552185	−	0.833721i	$-0.313794\pi$
$3$	2.64413	+	0.859131i	0.508864	+	0.165340i	−0.0433217	+	0.999061i	$0.513794\pi$
$4$	2.42982	−	7.47821i	0.303727	−	0.934776i
$5$	7.78705	+	8.02258i	0.696495	+	0.717562i
$5$	7.78705	+	8.02258i	0.696495	+	0.717562i
$6$	−0.317928	−	0.978483i	−0.0216323	−	0.0665774i
$7$		−	0.707538i		−	0.0382034i	−0.999818	−	0.0191017i	$-0.993919\pi$
$7$		−	0.707538i		−	0.0382034i	0.999818	−	0.0191017i	$-0.00608064\pi$
$8$	−5.58294	+	1.81401i	−0.246734	+	0.0801686i
$9$	−15.5901	−	11.3269i	−0.577412	−	0.419514i
$10$	0.708030	−	4.07634i	0.0223899	−	0.128905i
$11$	−36.2482	+	26.3359i	−0.993568	+	0.721869i	−0.960700	−	0.277590i	$-0.910464\pi$
$11$	−36.2482	+	26.3359i	−0.993568	+	0.721869i	−0.0328685	+	0.999460i	$0.510464\pi$
$12$	12.8495	−	17.6859i	0.309112	−	0.425456i
$13$	−28.2037	+	38.8191i	−0.601716	+	0.828191i	−0.995864	−	0.0908561i	$-0.971040\pi$
$13$	−28.2037	+	38.8191i	−0.601716	+	0.828191i	0.394148	+	0.919047i	$0.371040\pi$
$14$	−0.211825	+	0.153900i	−0.00404376	+	0.00293796i
$15$	13.6975	+	27.9029i	0.235779	+	0.480300i
$16$	−49.1333	−	35.6974i	−0.767708	−	0.557773i
$17$	95.0584	−	30.8863i	1.35618	−	0.440649i	0.461413	−	0.887185i	$-0.347343\pi$
$17$	95.0584	−	30.8863i	1.35618	−	0.440649i	0.894766	+	0.446536i	$0.147343\pi$
$18$			7.13119i			0.0933798i
$19$	−17.2149	−	52.9822i	−0.207862	−	0.639734i	−0.999584	−	0.0288516i	$-0.990815\pi$
$19$	−17.2149	−	52.9822i	−0.207862	−	0.639734i	0.791722	−	0.610882i	$-0.209185\pi$
$20$	78.9157	−	38.7398i	0.882304	−	0.433124i
$21$	0.607867	−	1.87082i	0.00631655	−	0.0194403i
$22$	15.7690	+	5.12367i	0.152817	+	0.0496532i
$23$	68.7145	+	94.5774i	0.622955	+	0.857424i	0.997564	−	0.0697590i	$-0.0222230\pi$
$23$	68.7145	+	94.5774i	0.622955	+	0.857424i	−0.374609	+	0.927183i	$0.622223\pi$
$24$	−16.3205			−0.138809
$25$	−3.72371	+	124.945i	−0.0297896	+	0.999556i
$26$	17.7565			0.133936
$27$	−75.6135	−	104.073i	−0.538957	−	0.741810i
$28$	−5.29112	−	1.71919i	−0.0357117	−	0.0116034i
$29$	35.9768	−	110.725i	0.230370	−	0.709005i	−0.767332	−	0.641250i	$-0.778416\pi$
$29$	35.9768	−	110.725i	0.230370	−	0.709005i	0.997702	−	0.0677551i	$-0.0215837\pi$
$30$	5.37424	−	10.1701i	0.0327066	−	0.0618933i
$31$	−19.5832	−	60.2708i	−0.113459	−	0.349192i	0.878163	−	0.478361i	$-0.158769\pi$
$31$	−19.5832	−	60.2708i	−0.113459	−	0.349192i	−0.991623	+	0.129169i	$0.958769\pi$
$32$			69.4365i			0.383586i
$33$	−118.471	+	38.4936i	−0.624945	+	0.203057i
$34$	−29.9234	−	21.7407i	−0.150936	−	0.109662i
$35$	5.67628	−	5.50963i	0.0274133	−	0.0266085i
$36$	−122.586	+	89.0640i	−0.567528	+	0.412333i
$37$	−69.5209	+	95.6873i	−0.308896	+	0.425159i	−0.935037	−	0.354551i	$-0.884634\pi$
$37$	−69.5209	+	95.6873i	−0.308896	+	0.425159i	0.626140	+	0.779710i	$0.284634\pi$
$38$	−12.1175	+	16.6783i	−0.0517293	+	0.0711993i
$39$	−107.925	+	78.4122i	−0.443124	+	0.321949i
$40$	−58.0277	−	30.6639i	−0.229375	−	0.121210i
$41$	147.207	+	106.952i	0.560730	+	0.407394i	0.831726	−	0.555187i	$-0.187353\pi$
$41$	147.207	+	106.952i	0.560730	+	0.407394i	−0.270996	+	0.962580i	$0.587353\pi$
$42$	−0.692314	+	0.224946i	−0.00254348	+	0.000826428i
$43$		−	418.309i		−	1.48352i	−0.670664	−	0.741762i	$-0.733991\pi$
$43$		−	418.309i		−	1.48352i	0.670664	−	0.741762i	$-0.266009\pi$
$44$	108.869	+	335.063i	0.373013	+	1.14802i
$45$	−30.5302	−	213.276i	−0.101137	−	0.706518i
$46$	13.3685	−	41.1440i	0.0428495	−	0.131877i
$47$	−146.063	−	47.4586i	−0.453307	−	0.147288i	0.0734598	−	0.997298i	$-0.476596\pi$
$47$	−146.063	−	47.4586i	−0.453307	−	0.147288i	−0.526767	+	0.850010i	$0.676596\pi$
$48$	−99.2463	−	136.601i	−0.298437	−	0.410763i
$49$	342.499			0.998540
$50$	38.2163	−	26.0625i	0.108092	−	0.0737158i
$51$	277.882			0.762967
$52$	221.767	+	305.237i	0.591416	+	0.814014i
$53$	475.549	+	154.515i	1.23248	+	0.400458i	0.851614	−	0.524170i	$-0.175624\pi$
$53$	475.549	+	154.515i	1.23248	+	0.400458i	0.380871	+	0.924628i	$0.375624\pi$
$54$	−14.7107	+	45.2749i	−0.0370717	+	0.114095i
$55$	−493.548	−	85.7256i	−1.21000	−	0.210168i
$56$	1.28348	+	3.95014i	0.00306272	+	0.00942607i
$57$		−	154.882i		−	0.359905i
$58$	−40.9747	+	13.3135i	−0.0927629	+	0.0301405i
$59$	−74.8217	−	54.3611i	−0.165101	−	0.119953i	0.502167	−	0.864771i	$-0.332536\pi$
$59$	−74.8217	−	54.3611i	−0.165101	−	0.119953i	−0.667268	+	0.744818i	$0.732536\pi$
$60$	241.946	−	34.6342i	0.520585	−	0.0745210i
$61$	522.379	−	379.530i	1.09646	−	0.796621i	0.115977	−	0.993252i	$-0.463000\pi$
$61$	522.379	−	379.530i	1.09646	−	0.796621i	0.980478	+	0.196631i	$0.0630000\pi$
$62$	−13.7844	+	18.9727i	−0.0282359	+	0.0388634i
$63$	−8.01420	+	11.0306i	−0.0160269	+	0.0220591i
$64$	−372.278	+	270.476i	−0.727106	+	0.528274i
$65$	−531.053	+	76.0195i	−1.01337	+	0.145062i
$66$	37.2936	+	27.0954i	0.0695533	+	0.0505334i
$67$	−890.734	+	289.417i	−1.62419	+	0.527730i	−0.972925	−	0.231123i	$-0.925760\pi$
$67$	−890.734	+	289.417i	−1.62419	+	0.527730i	−0.651262	+	0.758853i	$0.725760\pi$
$68$		−	785.915i		−	1.40156i
$69$	100.436	+	309.110i	0.175233	+	0.539311i
$70$	−2.88417	−	0.500958i	−0.00492463	−	0.000855370i
$71$	−48.2183	+	148.401i	−0.0805980	+	0.248055i	−0.983234	−	0.182350i	$-0.941629\pi$
$71$	−48.2183	+	148.401i	−0.0805980	+	0.248055i	0.902636	+	0.430406i	$0.141629\pi$
$72$	107.586	+	34.9568i	0.176099	+	0.0572180i
$73$	353.728	+	486.865i	0.567134	+	0.780592i	0.992212	−	0.124564i	$-0.0397533\pi$
$73$	353.728	+	486.865i	0.567134	+	0.780592i	−0.425078	+	0.905157i	$0.639753\pi$
$74$	43.7690			0.0687573
$75$	−117.190	+	327.171i	−0.180425	+	0.503712i
$76$	−438.041			−0.661141
$77$	18.6336	+	25.6470i	0.0275779	+	0.0379577i
$78$	46.9506	+	15.2552i	0.0681552	+	0.0221450i
$79$	208.101	−	640.470i	0.296370	−	0.912133i	−0.686388	−	0.727236i	$-0.740805\pi$
$79$	208.101	−	640.470i	0.296370	−	0.912133i	0.982758	−	0.184897i	$-0.0591953\pi$
$80$	−96.2179	−	672.154i	−0.134469	−	0.939364i
$81$	50.2624	+	154.692i	0.0689470	+	0.212197i
$82$		−	67.3351i		−	0.0906819i
$83$	−1274.30	+	414.045i	−1.68521	+	0.547558i	−0.985911	−	0.167270i	$-0.946505\pi$
$83$	−1274.30	+	414.045i	−1.68521	+	0.547558i	−0.699300	+	0.714828i	$0.746505\pi$
$84$	−12.5134	−	9.09152i	−0.0162539	−	0.0118091i
$85$	988.012	+	522.100i	1.26076	+	0.666232i
$86$	−125.235	+	90.9883i	−0.157028	+	0.114088i
$87$	190.255	−	261.863i	0.234453	−	0.322698i
$88$	154.598	−	212.786i	0.187275	−	0.257762i
$89$	−109.125	+	79.2838i	−0.129969	+	0.0944277i	−0.650870	−	0.759189i	$-0.725596\pi$
$89$	−109.125	+	79.2838i	−0.129969	+	0.0944277i	0.520902	+	0.853617i	$0.325596\pi$
$90$	−57.2106	+	55.5309i	−0.0670058	+	0.0650386i
$91$	27.4660	+	19.9552i	0.0316397	+	0.0229876i
$92$	874.233	−	284.056i	0.990708	−	0.321901i
$93$		−	176.188i		−	0.196450i
$94$	17.5625	+	54.0517i	0.0192705	+	0.0593086i
$95$	291.000	−	550.683i	0.314274	−	0.594725i
$96$	−59.6550	+	183.599i	−0.0634220	+	0.195193i
$97$	277.916	+	90.3005i	0.290908	+	0.0945219i	0.450836	−	0.892607i	$-0.351126\pi$
$97$	277.916	+	90.3005i	0.290908	+	0.0945219i	−0.159927	+	0.987129i	$0.551126\pi$
$98$	−74.4987	−	102.539i	−0.0767908	−	0.105694i
$99$	863.418			0.876533
$100$	925.314	+	331.439i	0.925314	+	0.331439i
$101$	−794.922			−0.783145			−0.391573	−	0.920147i	$-0.628069\pi$
$101$	−794.922			−0.783145			−0.391573	+	0.920147i	$0.628069\pi$
$102$	−60.4435	−	83.1934i	−0.0586745	−	0.0807585i
$103$	1696.79	+	551.321i	1.62320	+	0.527410i	0.972694	−	0.232090i	$-0.0745563\pi$
$103$	1696.79	+	551.321i	1.62320	+	0.527410i	0.650507	+	0.759500i	$0.274556\pi$
$104$	87.0416	−	267.887i	0.0820686	−	0.252581i
$105$	19.7423	−	9.69153i	0.0183491	−	0.00900759i
$106$	−57.1796	−	175.981i	−0.0523941	−	0.161253i
$107$		−	475.032i		−	0.429187i	−0.976703	−	0.214594i	$-0.931157\pi$
$107$		−	475.032i		−	0.429187i	0.976703	−	0.214594i	$-0.0688427\pi$
$108$	−962.008	+	312.575i	−0.857123	+	0.278496i
$109$	−1810.93	−	1315.72i	−1.59134	−	1.15618i	−0.901999	−	0.431737i	$-0.857901\pi$
$109$	−1810.93	−	1315.72i	−1.59134	−	1.15618i	−0.689340	−	0.724438i	$-0.742099\pi$
$110$	81.6892	+	166.407i	0.0708069	+	0.144239i
$111$	−266.030	+	193.282i	−0.227482	+	0.165275i
$112$	−25.2573	+	34.7637i	−0.0213088	+	0.0293291i
$113$	−1034.93	+	1424.45i	−0.861573	+	1.18585i	0.119619	+	0.992820i	$0.461833\pi$
$113$	−1034.93	+	1424.45i	−0.861573	+	1.18585i	−0.981192	+	0.193033i	$0.938167\pi$
$114$	−46.3690	+	33.6891i	−0.0380952	+	0.0276778i
$115$	−223.672	+	1287.75i	−0.181370	+	1.04420i
$116$	−740.609	−	538.084i	−0.592791	−	0.430688i
$117$	879.399	−	285.734i	0.694876	−	0.225779i
$118$			34.2247i			0.0267003i
$119$	−21.8532	−	67.2574i	−0.0168343	−	0.0518107i
$120$	−127.089	−	130.933i	−0.0966796	−	0.0996039i
$121$	209.054	−	643.401i	0.157065	−	0.483396i
$122$	−227.250	−	73.8381i	−0.168642	−	0.0547950i
$123$	297.350	+	409.267i	0.217977	+	0.300019i
$124$	−498.301			−0.360877
$125$	−1031.37	+	943.076i	−0.737992	+	0.674810i
$126$	5.04558			0.00356743
$127$	−605.759	−	833.755i	−0.423247	−	0.582550i	0.543140	−	0.839642i	$-0.317235\pi$
$127$	−605.759	−	833.755i	−0.423247	−	0.582550i	−0.966387	+	0.257093i	$0.917235\pi$
$128$	690.256	+	224.278i	0.476645	+	0.154871i
$129$	359.382	−	1106.06i	0.245286	−	0.754911i
$130$	138.271	+	142.453i	0.0932858	+	0.0961074i
$131$	229.296	+	705.702i	0.152929	+	0.470668i	0.997945	−	0.0640733i	$-0.0204092\pi$
$131$	229.296	+	705.702i	0.152929	+	0.470668i	−0.845016	+	0.534741i	$0.820409\pi$
$132$			979.484i			0.645857i
$133$	−37.4869	+	12.1802i	−0.0244400	+	0.00794105i
$134$	280.394	+	203.718i	0.180764	+	0.131333i
$135$	246.129	−	1417.04i	0.156914	−	0.903402i
$136$	−474.677	+	344.873i	−0.299289	+	0.217446i
$137$	239.970	−	330.290i	0.149650	−	0.205975i	−0.727610	−	0.685991i	$-0.759369\pi$
$137$	239.970	−	330.290i	0.149650	−	0.205975i	0.877260	+	0.480016i	$0.159369\pi$
$138$	70.6961	−	97.3048i	0.0436091	−	0.0600227i
$139$	−1065.62	+	774.218i	−0.650249	+	0.472434i	−0.863356	−	0.504595i	$-0.831642\pi$
$139$	−1065.62	+	774.218i	−0.650249	+	0.472434i	0.213107	+	0.977029i	$0.431642\pi$
$140$	−27.4099	−	55.8358i	−0.0165468	−	0.0337071i
$141$	−345.436	−	250.974i	−0.206319	−	0.149899i
$142$	54.9169	−	17.8436i	0.0324544	−	0.0105451i
$143$		−	2149.89i		−	1.25722i
$144$	361.654	+	1113.06i	0.209290	+	0.644129i
$145$	1168.45	−	573.595i	0.669206	−	0.328514i
$146$	68.8182	−	211.801i	0.0390098	−	0.120060i
$147$	905.614	+	294.252i	0.508121	+	0.165099i
$148$	546.646	+	752.394i	0.303609	+	0.417881i
$149$	1242.15			0.682958			0.341479	−	0.939889i	$-0.389072\pi$
$149$	1242.15			0.682958			0.341479	+	0.939889i	$0.389072\pi$
$150$	123.440	−	36.0798i	0.0671922	−	0.0196394i
$151$	1546.94			0.833694			0.416847	−	0.908977i	$-0.363135\pi$
$151$	1546.94			0.833694			0.416847	+	0.908977i	$0.363135\pi$
$152$	192.220	+	264.568i	0.102573	+	0.141180i
$153$	−1831.82	−	595.194i	−0.967932	−	0.314500i
$154$	3.62519	−	11.1572i	0.00189692	−	0.00583813i
$155$	331.032	−	626.439i	0.171543	−	0.324625i
$156$	324.144	+	997.614i	0.166361	+	0.512007i
$157$			1125.47i			0.572115i	0.958212	+	0.286057i	$0.0923448\pi$
$157$			1125.47i			0.572115i	−0.958212	+	0.286057i	$0.907655\pi$
$158$	−237.011	+	77.0096i	−0.119339	+	0.0387757i
$159$	1124.67	+	817.118i	0.560955	+	0.407558i
$160$	−557.060	+	540.705i	−0.275247	+	0.267166i
$161$	66.9171	−	48.6181i	0.0327565	−	0.0237990i
$162$	35.3793	−	48.6955i	0.0171584	−	0.0236165i
$163$	1481.05	−	2038.49i	0.711687	−	0.979553i	−0.288072	−	0.957609i	$-0.593014\pi$
$163$	1481.05	−	2038.49i	0.711687	−	0.979553i	0.999759	−	0.0219445i	$-0.00698572\pi$
$164$	1157.50	−	840.972i	0.551131	−	0.400420i
$165$	−1231.36	−	650.693i	−0.580976	−	0.307008i
$166$	401.137	+	291.443i	0.187556	+	0.136267i
$167$	−1146.94	+	372.664i	−0.531455	+	0.172680i	−0.562438	−	0.826840i	$-0.690136\pi$
$167$	−1146.94	+	372.664i	−0.531455	+	0.172680i	0.0309824	+	0.999520i	$0.490136\pi$
$168$			11.5474i			0.00530297i
$169$	−32.5618	−	100.215i	−0.0148210	−	0.0456145i
$170$	−58.5991	−	409.359i	−0.0264373	−	0.184685i
$171$	−331.740	+	1020.99i	−0.148355	+	0.456591i
$172$	−3128.20	−	1016.41i	−1.38676	−	0.450586i
$173$	−683.773	−	941.133i	−0.300499	−	0.413601i	0.631890	−	0.775058i	$-0.282279\pi$
$173$	−683.773	−	941.133i	−0.300499	−	0.413601i	−0.932389	+	0.361457i	$0.882279\pi$
$174$	−119.781			−0.0521871
$175$	88.4029	+	2.63466i	0.0381865	+	0.00113807i
$176$	2721.12			1.16541
$177$	−151.135	−	208.020i	−0.0641809	−	0.0883374i
$178$	47.4725	+	15.4247i	0.0199900	+	0.00649513i
$179$	−1358.70	+	4181.66i	−0.567342	+	1.74610i	0.0935445	+	0.995615i	$0.470180\pi$
$179$	−1358.70	+	4181.66i	−0.567342	+	1.74610i	−0.660887	+	0.750485i	$0.729820\pi$
$180$	−1669.11	−	289.911i	−0.691155	−	0.120048i
$181$	−1001.68	−	3082.85i	−0.411349	−	1.26600i	−0.915476	−	0.402372i	$-0.868186\pi$
$181$	−1001.68	−	3082.85i	−0.411349	−	1.26600i	0.504127	−	0.863629i	$-0.331814\pi$
$182$		−	12.5634i		−	0.00511682i
$183$	1707.31	−	554.737i	0.689659	−	0.224084i
$184$	−555.193	−	403.372i	−0.222442	−	0.161614i
$185$	−1309.02	+	187.385i	−0.520223	+	0.0744691i
$186$	−52.7479	+	38.3236i	−0.0207939	+	0.0151076i
$187$	−2632.28	+	3623.02i	−1.02936	+	1.41680i
$188$	−709.812	+	976.972i	−0.275363	+	0.379005i
$189$	−73.6356	+	53.4994i	−0.0283397	+	0.0205900i
$190$	−228.162	+	32.6611i	−0.0871191	+	0.0124710i
$191$	2567.48	+	1865.38i	0.972651	+	0.706672i	0.956054	−	0.293190i	$-0.0947170\pi$
$191$	2567.48	+	1865.38i	0.972651	+	0.706672i	0.0165964	+	0.999862i	$0.494717\pi$
$192$	−1216.73	+	395.339i	−0.457343	+	0.148600i
$193$			510.627i			0.190444i	0.995456	+	0.0952221i	$0.0303561\pi$
$193$			510.627i			0.190444i	−0.995456	+	0.0952221i	$0.969644\pi$
$194$	−33.4164	−	102.845i	−0.0123668	−	0.0380611i
$195$	−1469.49	−	255.239i	−0.539652	−	0.0937334i
$196$	832.211	−	2561.28i	0.303284	−	0.933412i
$197$	2411.99	+	783.702i	0.872320	+	0.283434i	0.710765	−	0.703430i	$-0.248349\pi$
$197$	2411.99	+	783.702i	0.872320	+	0.283434i	0.161555	+	0.986864i	$0.448349\pi$
$198$	−187.806	−	258.493i	−0.0674081	−	0.0927792i
$199$	−1141.74			−0.406712			−0.203356	−	0.979105i	$-0.565185\pi$
$199$	−1141.74			−0.406712			−0.203356	+	0.979105i	$0.565185\pi$
$200$	−205.861	−	704.313i	−0.0727829	−	0.249012i
$201$	−2603.87			−0.913744
$202$	172.907	+	237.986i	0.0602263	+	0.0828944i
$203$	−78.3422	−	25.4549i	−0.0270864	−	0.00880091i
$204$	675.204	−	2078.06i	0.231734	−	0.713204i
$205$	288.276	+	2013.83i	0.0982150	+	0.686106i
$206$	−204.021	−	627.911i	−0.0690039	−	0.212372i
$207$		−	2252.79i		−	0.756425i
$208$	2771.49	−	900.510i	0.923884	−	0.300188i
$209$	2019.34	+	1467.14i	0.668329	+	0.485570i
$210$	−7.19573	−	3.80248i	−0.00236454	−	0.00124950i
$211$	1775.38	−	1289.89i	0.579253	−	0.420852i	−0.259202	−	0.965823i	$-0.583460\pi$
$211$	1775.38	−	1289.89i	0.579253	−	0.420852i	0.838455	+	0.544971i	$0.183460\pi$
$212$	2311.00	−	3180.81i	0.748678	−	1.03047i
$213$	−254.991	+	350.965i	−0.0820268	+	0.112900i
$214$	−142.217	+	103.326i	−0.0454286	+	0.0330058i
$215$	3355.92	−	3257.39i	1.06452	−	1.03327i
$216$	610.935	+	443.871i	0.192449	+	0.139822i
$217$	−42.6438	+	13.8558i	−0.0133403	+	0.00433454i
$218$			828.352i			0.257354i
$219$	517.024	+	1591.24i	0.159531	+	0.490985i
$220$	−1840.31	+	3482.56i	−0.563970	+	1.06725i
$221$	−1482.02	+	4561.19i	−0.451093	+	1.38832i
$222$	115.731	+	37.6033i	0.0349881	+	0.0113683i
$223$	−813.160	−	1119.22i	−0.244185	−	0.336091i	0.669279	−	0.743011i	$-0.266603\pi$
$223$	−813.160	−	1119.22i	−0.244185	−	0.336091i	−0.913464	+	0.406919i	$0.866603\pi$
$224$	49.1289			0.0146543
$225$	1473.29	−	1905.72i	0.436529	−	0.564659i
$226$	651.570			0.191778
$227$	1430.84	+	1969.39i	0.418363	+	0.575828i	0.965233	−	0.261390i	$-0.0841808\pi$
$227$	1430.84	+	1969.39i	0.418363	+	0.575828i	−0.546870	+	0.837218i	$0.684181\pi$
$228$	−1158.24	−	376.335i	−0.336431	−	0.109313i
$229$	4.94881	−	15.2309i	0.00142806	−	0.00439513i	−0.950340	−	0.311214i	$-0.899264\pi$
$229$	4.94881	−	15.2309i	0.00142806	−	0.00439513i	0.951768	+	0.306819i	$0.0992645\pi$
$230$	434.182	−	213.140i	0.124474	−	0.0611046i
$231$	27.2357	+	83.8227i	0.00775747	+	0.0238750i
$232$			683.434i			0.193404i
$233$	−19.7407	+	6.41415i	−0.00555046	+	0.00180345i	−0.311791	−	0.950151i	$-0.600929\pi$
$233$	−19.7407	+	6.41415i	−0.00555046	+	0.00180345i	0.306240	+	0.951954i	$0.400929\pi$
$234$	−276.826	−	201.126i	−0.0773363	−	0.0561881i
$235$	−756.657	−	1541.36i	−0.210038	−	0.427861i
$236$	−588.327	+	427.445i	−0.162275	+	0.117899i
$237$	1100.50	−	1514.70i	0.301624	−	0.415150i
$238$	−15.3823	+	21.1720i	−0.00418945	+	0.00576628i
$239$	1677.84	−	1219.02i	0.454102	−	0.329924i	−0.337111	−	0.941465i	$-0.609450\pi$
$239$	1677.84	−	1219.02i	0.454102	−	0.329924i	0.791213	+	0.611541i	$0.209450\pi$
$240$	323.055	−	1859.93i	0.0868881	−	0.500241i
$241$	−3412.98	−	2479.68i	−0.912239	−	0.662780i	0.0293412	−	0.999569i	$-0.490659\pi$
$241$	−3412.98	−	2479.68i	−0.912239	−	0.662780i	−0.941580	+	0.336789i	$0.890659\pi$
$242$	−238.096	+	77.3620i	−0.0632453	+	0.0205497i
$243$			3925.53i			1.03631i
$244$	−1568.92	−	4828.65i	−0.411639	−	1.26690i
$245$	2667.06	+	2747.73i	0.695478	+	0.716514i
$246$	57.8497	−	178.043i	0.0149933	−	0.0461448i
$247$	2542.24	+	826.025i	0.654895	+	0.212788i
$248$	218.663	+	300.964i	0.0559885	+	0.0770615i
$249$	−3725.14			−0.948076
$250$	506.680	+	103.644i	0.128181	+	0.0262200i
$251$	−5952.52			−1.49689			−0.748446	−	0.663196i	$-0.769200\pi$
$251$	−5952.52			−1.49689			−0.748446	+	0.663196i	$0.769200\pi$
$252$	63.0161	+	86.7342i	0.0157525	+	0.0216815i
$253$	−4981.56	−	1618.61i	−1.23790	−	0.402217i
$254$	−117.851	+	362.708i	−0.0291127	+	0.0895997i
$255$	2163.88	+	2229.33i	0.531403	+	0.547476i
$256$	1054.59	+	3245.68i	0.257467	+	0.792403i
$257$		−	3358.99i		−	0.815283i	−0.913142	−	0.407642i	$-0.866351\pi$
$257$		−	3358.99i		−	0.815283i	0.913142	−	0.407642i	$-0.133649\pi$
$258$	−409.308	+	132.992i	−0.0987691	+	0.0320920i
$259$	67.7023	+	49.1886i	0.0162425	+	0.0118009i
$260$	−721.873	+	4156.04i	−0.172187	+	0.991334i
$261$	−1815.05	+	1318.71i	−0.430456	+	0.312744i
$262$	161.400	−	222.148i	0.0380585	−	0.0523830i
$263$	413.184	−	568.699i	0.0968747	−	0.133337i	−0.757828	−	0.652454i	$-0.773739\pi$
$263$	413.184	−	568.699i	0.0968747	−	0.133337i	0.854703	+	0.519118i	$0.173739\pi$
$264$	591.590	−	429.815i	0.137916	−	0.100202i
$265$	2463.51	+	5018.35i	0.571066	+	1.16330i
$266$	11.8005	+	8.57357i	0.00272006	+	0.00197624i
$267$	−356.656	+	115.884i	−0.0817489	+	0.0265618i
$268$			7364.33i			1.67854i
$269$	−2210.17	−	6802.20i	−0.500953	−	1.54178i	−0.807469	−	0.589910i	$-0.799163\pi$
$269$	−2210.17	−	6802.20i	−0.500953	−	1.54178i	0.306516	−	0.951866i	$-0.400837\pi$
$270$	−477.774	+	234.540i	−0.107690	+	0.0528653i
$271$	637.671	−	1962.55i	0.142936	−	0.439913i	−0.853804	−	0.520595i	$-0.825710\pi$
$271$	637.671	−	1962.55i	0.142936	−	0.439913i	0.996740	+	0.0806827i	$0.0257100\pi$
$272$	−5773.10	−	1875.79i	−1.28693	−	0.418149i
$273$	55.4796	+	76.3611i	0.0122995	+	0.0169289i
$274$	−151.080			−0.0333106
$275$	−3155.55	−	4627.08i	−0.691951	−	1.01463i
$276$	2555.63			0.557358
$277$	292.127	+	402.078i	0.0633654	+	0.0872150i	0.839524	−	0.543323i	$-0.182834\pi$
$277$	292.127	+	402.078i	0.0633654	+	0.0872150i	−0.776158	+	0.630538i	$0.782834\pi$
$278$	463.576	+	150.625i	0.100012	+	0.0324960i
$279$	−377.376	+	1161.45i	−0.0809783	+	0.249225i
$280$	−21.6958	+	41.0568i	−0.00463062	+	0.00876290i
$281$	−889.261	−	2736.87i	−0.188786	−	0.581024i	0.811207	−	0.584759i	$-0.198811\pi$
$281$	−889.261	−	2736.87i	−0.188786	−	0.581024i	−0.999993	+	0.00373539i	$0.998811\pi$
$282$			158.008i			0.0333662i
$283$	4728.57	−	1536.40i	0.993230	−	0.322720i	0.233073	−	0.972459i	$-0.425122\pi$
$283$	4728.57	−	1536.40i	0.993230	−	0.322720i	0.760157	+	0.649739i	$0.225122\pi$
$284$	992.610	+	721.173i	0.207396	+	0.150682i
$285$	1242.55	−	1206.07i	0.258254	−	0.250672i
$286$	−643.642	+	467.633i	−0.133075	+	0.0966844i
$287$	75.6728	−	104.155i	0.0155638	−	0.0214218i
$288$	786.499	−	1082.52i	0.160920	−	0.221487i
$289$	4107.43	−	2984.22i	0.836032	−	0.607413i
$290$	−425.881	−	225.050i	−0.0862365	−	0.0455704i
$291$	657.268	+	477.533i	0.132405	+	0.0961975i
$292$	4500.38	−	1462.26i	0.901933	−	0.293056i
$293$			5878.67i			1.17214i	0.810262	+	0.586068i	$0.199325\pi$
$293$			5878.67i			1.17214i	−0.810262	+	0.586068i	$0.800675\pi$
$294$	−108.890	−	335.130i	−0.0216007	−	0.0664802i
$295$	−146.523	−	1023.58i	−0.0289184	−	0.202017i
$296$	214.554	−	660.328i	0.0421307	−	0.129665i
$297$	5481.71	+	1781.12i	1.07098	+	0.347983i
$298$	−270.185	−	371.878i	−0.0525216	−	0.0722897i
$299$	−5609.41			−1.08495
$300$	2161.90	+	1671.34i	0.416058	+	0.321649i
$301$	−295.969			−0.0566757
$302$	−336.481	−	463.127i	−0.0641136	−	0.0882449i
$303$	−2101.88	−	682.942i	−0.398514	−	0.129485i
$304$	−1045.50	+	3217.72i	−0.197248	+	0.607068i
$305$	7112.61	+	1235.41i	1.33530	+	0.231932i
$306$	220.256	+	677.879i	0.0411478	+	0.126640i
$307$		−	837.434i		−	0.155684i	−0.996966	−	0.0778419i	$-0.975197\pi$
$307$		−	837.434i		−	0.155684i	0.996966	−	0.0778419i	$-0.0248029\pi$
$308$	237.070	−	77.0287i	0.0438581	−	0.0142504i
$309$	4012.88	+	2915.53i	0.738787	+	0.536760i
$310$	−259.550	+	37.1542i	−0.0475530	+	0.00680715i
$311$	2180.53	−	1584.25i	0.397578	−	0.288857i	−0.370976	−	0.928642i	$-0.620977\pi$
$311$	2180.53	−	1584.25i	0.397578	−	0.288857i	0.768554	+	0.639785i	$0.220977\pi$
$312$	460.299	−	633.548i	0.0835235	−	0.114960i
$313$	1259.58	−	1733.66i	0.227462	−	0.313075i	−0.679997	−	0.733215i	$-0.738019\pi$
$313$	1259.58	−	1733.66i	0.227462	−	0.313075i	0.907459	+	0.420140i	$0.138019\pi$
$314$	336.946	−	244.806i	0.0605572	−	0.0439974i
$315$	−150.901	+	21.6012i	−0.0269914	+	0.00386378i
$316$	−4283.92	−	3112.45i	−0.762625	−	0.554079i
$317$	2515.73	−	817.411i	0.445734	−	0.144828i	−0.0775456	−	0.996989i	$-0.524708\pi$
$317$	2515.73	−	817.411i	0.445734	−	0.144828i	0.523280	+	0.852161i	$0.324708\pi$
$318$		−	514.442i		−	0.0907184i
$319$	1611.95	+	4961.07i	0.282921	+	0.870741i
$320$	−5068.87	−	880.424i	−0.885495	−	0.153804i
$321$	408.114	−	1256.05i	0.0709618	−	0.218398i
$322$	−29.1109	−	9.45870i	−0.00503816	−	0.00163700i
$323$	−3272.85	−	4504.69i	−0.563796	−	0.775999i
$324$	1278.95			0.219298
$325$	−4745.21	−	3668.45i	−0.809898	−	0.626120i
$326$	−932.442			−0.158415
$327$	−3657.97	−	5034.77i	−0.618613	−	0.851448i
$328$	−1015.86	−	330.074i	−0.171011	−	0.0555648i
$329$	−33.5788	+	103.345i	−0.00562692	+	0.0173179i
$330$	73.0320	+	510.183i	0.0121827	+	0.0851051i
$331$	2095.98	+	6450.75i	0.348052	+	1.07119i	0.959930	+	0.280242i	$0.0904146\pi$
$331$	2095.98	+	6450.75i	0.348052	+	1.07119i	−0.611877	+	0.790953i	$0.709585\pi$
$332$			10535.5i			1.74160i
$333$	2167.68	−	704.321i	0.356721	−	0.115906i
$334$	361.046	+	262.315i	0.0591484	+	0.0429738i
$335$	−9258.06	−	4892.28i	−1.50992	−	0.797893i
$336$	−96.6502	+	70.2205i	−0.0156926	+	0.0114013i
$337$	−4262.58	+	5866.94i	−0.689014	+	0.948346i	−0.999998	−	0.00206907i	$-0.999341\pi$
$337$	−4262.58	+	5866.94i	−0.689014	+	0.948346i	0.310984	+	0.950415i	$0.399341\pi$
$338$	−22.9200	+	31.5467i	−0.00368842	+	0.00507667i
$339$	−3960.28	+	2877.31i	−0.634492	+	0.460985i
$340$	6305.07	−	6119.96i	1.00571	−	0.976180i
$341$	2297.14	+	1668.97i	0.364801	+	0.265043i
$342$	377.826	−	122.763i	0.0597382	−	0.0194101i
$343$		−	485.017i		−	0.0763511i
$344$	758.816	+	2335.39i	0.118932	+	0.366035i
$345$	−1697.76	+	3212.81i	−0.264940	+	0.501368i
$346$	−133.029	+	409.420i	−0.0206696	+	0.0636144i
$347$	−7172.10	−	2330.36i	−1.10956	−	0.360519i	−0.303787	−	0.952740i	$-0.598251\pi$
$347$	−7172.10	−	2330.36i	−1.10956	−	0.360519i	−0.805776	+	0.592221i	$0.798251\pi$
$348$	−1495.98	−	2059.05i	−0.230440	−	0.317174i
$349$	2534.62			0.388754			0.194377	−	0.980927i	$-0.437732\pi$
$349$	2534.62			0.388754			0.194377	+	0.980927i	$0.437732\pi$
$350$	−18.4402	−	27.0394i	−0.00281620	−	0.00412948i
$351$	6172.61			0.938659
$352$	−1828.67	−	2516.95i	−0.276899	−	0.381119i
$353$	−1723.93	−	560.138i	−0.259930	−	0.0844564i	0.176153	−	0.984363i	$-0.443635\pi$
$353$	−1723.93	−	560.138i	−0.259930	−	0.0844564i	−0.436083	+	0.899906i	$0.643635\pi$
$354$	−29.4035	+	90.4947i	−0.00441463	+	0.0135868i
$355$	−1566.03	+	768.768i	−0.234131	+	0.114935i
$356$	327.747	+	1008.70i	0.0487938	+	0.150172i
$357$		−	196.612i		−	0.0291480i
$358$	1547.46	−	502.800i	0.228452	−	0.0742284i
$359$	−275.639	−	200.264i	−0.0405228	−	0.0294416i	0.567339	−	0.823484i	$-0.307973\pi$
$359$	−275.639	−	200.264i	−0.0405228	−	0.0294416i	−0.607862	+	0.794042i	$0.707973\pi$
$360$	557.333	+	1135.33i	0.0815945	+	0.166214i
$361$	3038.29	−	2207.45i	0.442964	−	0.321833i
$362$	−705.074	+	970.451i	−0.102370	+	0.140900i
$363$	1105.53	−	1521.63i	0.159849	−	0.220014i
$364$	215.966	−	156.909i	0.0310981	−	0.0225941i
$365$	−1151.42	+	6629.06i	−0.165118	+	0.950632i
$366$	−537.443	−	390.475i	−0.0767558	−	0.0557663i
$367$	−4842.11	+	1573.30i	−0.688708	+	0.223775i	−0.632404	−	0.774639i	$-0.717932\pi$
$367$	−4842.11	+	1573.30i	−0.688708	+	0.223775i	−0.0563042	+	0.998414i	$0.517932\pi$
$368$		−	7099.83i		−	1.00572i
$369$	−1083.54	−	3334.80i	−0.152864	−	0.470468i
$370$	340.831	+	351.140i	0.0478891	+	0.0493376i
$371$	109.325	−	336.469i	0.0152989	−	0.0470851i
$372$	−1317.57	−	428.106i	−0.183637	−	0.0596674i
$373$	576.832	+	793.942i	0.0800730	+	0.110211i	0.847175	−	0.531315i	$-0.178302\pi$
$373$	576.832	+	793.942i	0.0800730	+	0.110211i	−0.767102	+	0.641526i	$0.778302\pi$
$374$	1657.23			0.229127
$375$	−3537.32	+	1607.53i	−0.487110	+	0.221367i
$376$	901.550			0.123654
$377$	3283.57	+	4519.45i	0.448574	+	0.617409i
$378$	32.0337	+	10.4084i	0.00435882	+	0.00141627i
$379$	−856.818	+	2637.01i	−0.116126	+	0.357399i	−0.992180	−	0.124814i	$-0.960167\pi$
$379$	−856.818	+	2637.01i	−0.116126	+	0.357399i	0.876054	+	0.482213i	$0.160167\pi$
$380$	−3411.05	−	3514.22i	−0.460482	−	0.474410i
$381$	−885.402	−	2724.99i	−0.119056	−	0.366418i
$382$		−	1174.41i		−	0.157298i
$383$	6987.70	−	2270.44i	0.932258	−	0.302909i	0.196772	−	0.980449i	$-0.436954\pi$
$383$	6987.70	−	2270.44i	0.932258	−	0.302909i	0.735486	+	0.677540i	$0.236954\pi$
$384$	1632.45	+	1186.04i	0.216941	+	0.157617i
$385$	−60.6541	+	349.204i	−0.00802914	+	0.0462262i
$386$	152.873	−	111.069i	0.0201581	−	0.0146457i
$387$	−4738.14	+	6521.49i	−0.622359	+	0.856604i
$388$	1350.57	−	1858.90i	0.176714	−	0.243226i
$389$	4491.31	−	3263.13i	0.585395	−	0.425314i	−0.255270	−	0.966870i	$-0.582164\pi$
$389$	4491.31	−	3263.13i	0.585395	−	0.425314i	0.840665	+	0.541556i	$0.182164\pi$
$390$	243.221	+	495.458i	0.0315794	+	0.0643295i
$391$	9453.04	+	6868.03i	1.22266	+	0.888315i
$392$	−1912.15	+	621.297i	−0.246373	+	0.0800516i
$393$			2062.97i			0.264791i
$394$	−290.015	−	892.576i	−0.0370832	−	0.114130i
$395$	6758.72	−	3317.86i	0.860932	−	0.422632i
$396$	2097.95	−	6456.82i	0.266227	−	0.819362i
$397$	5876.87	+	1909.51i	0.742952	+	0.241400i	0.655946	−	0.754808i	$-0.272270\pi$
$397$	5876.87	+	1909.51i	0.742952	+	0.241400i	0.0870061	+	0.996208i	$0.472270\pi$
$398$	248.345	+	341.817i	0.0312774	+	0.0430496i
$399$	−109.585			−0.0137496
$400$	4643.16	−	6006.01i	0.580395	−	0.750752i
$401$	2209.86			0.275200			0.137600	−	0.990488i	$-0.456061\pi$
$401$	2209.86			0.275200			0.137600	+	0.990488i	$0.456061\pi$
$402$	566.379	+	779.554i	0.0702697	+	0.0967180i
$403$	2891.98	+	939.660i	0.357468	+	0.116148i
$404$	−1931.52	+	5944.59i	−0.237863	+	0.732066i
$405$	−849.632	+	1607.83i	−0.104243	+	0.197268i
$406$	9.41980	+	28.9912i	0.00115147	+	0.00354386i
$407$		−	5299.39i		−	0.645407i
$408$	−1551.40	+	504.081i	−0.188250	+	0.0611660i
$409$	1359.44	+	987.692i	0.164352	+	0.119409i	0.666921	−	0.745128i	$-0.267612\pi$
$409$	1359.44	+	987.692i	0.164352	+	0.119409i	−0.502569	+	0.864537i	$0.667612\pi$
$410$	540.202	−	524.342i	0.0650699	−	0.0631595i
$411$	918.274	−	667.165i	0.110207	−	0.0800702i
$412$	8245.79	−	11349.4i	0.986021	−	1.35714i
$413$	−38.4625	+	52.9391i	−0.00458261	+	0.00630742i
$414$	−674.449	+	490.016i	−0.0800661	+	0.0581714i
$415$	−13244.7	−	6998.98i	−1.56665	−	0.827871i
$416$	−2695.46	−	1958.37i	−0.317682	−	0.230810i
$417$	−3482.79	+	1131.63i	−0.409000	+	0.132892i
$418$		−	923.682i		−	0.108083i
$419$	833.246	+	2564.47i	0.0971521	+	0.299003i	0.987809	−	0.155673i	$-0.0497548\pi$
$419$	833.246	+	2564.47i	0.0971521	+	0.299003i	−0.890657	+	0.454677i	$0.849755\pi$
$420$	−24.5050	−	171.186i	−0.00284696	−	0.0198881i
$421$	−2921.58	+	8991.69i	−0.338216	+	1.04092i	0.626900	+	0.779100i	$0.284323\pi$
$421$	−2921.58	+	8991.69i	−0.338216	+	1.04092i	−0.965116	+	0.261822i	$0.915677\pi$
$422$	−772.343	−	250.950i	−0.0890926	−	0.0289479i
$423$	1739.58	+	2394.32i	0.199955	+	0.275215i
$424$	−2935.26			−0.336200
$425$	3505.11	+	11992.0i	0.400054	+	1.36870i
$426$	160.538			0.0182584
$427$	−268.532	−	369.603i	−0.0304337	−	0.0418884i
$428$	−3552.39	−	1154.24i	−0.401194	−	0.130356i
$429$	1847.04	−	5684.60i	0.207869	−	0.639756i
$430$	−1705.17	−	296.175i	−0.191234	−	0.0332159i
$431$	−3581.10	−	11021.5i	−0.400222	−	1.23176i	−0.924819	−	0.380406i	$-0.875784\pi$
$431$	−3581.10	−	11021.5i	−0.400222	−	1.23176i	0.524597	−	0.851350i	$-0.324216\pi$
$432$			7812.67i			0.870109i
$433$	−14324.0	+	4654.15i	−1.58976	+	0.516545i	−0.964548	−	0.263908i	$-0.914988\pi$
$433$	−14324.0	+	4654.15i	−1.58976	+	0.516545i	−0.625214	+	0.780453i	$0.714988\pi$
$434$	13.4239	+	9.75301i	0.00148471	+	0.00107871i
$435$	3582.34	−	512.807i	0.394851	−	0.0565223i
$436$	−14239.5	+	10345.6i	−1.56410	+	1.13638i
$437$	3828.00	−	5268.79i	0.419034	−	0.576751i
$438$	363.929	−	500.905i	0.0397014	−	0.0546443i
$439$	−2308.91	+	1677.52i	−0.251021	+	0.182377i	−0.706179	−	0.708033i	$-0.749583\pi$
$439$	−2308.91	+	1677.52i	−0.251021	+	0.182377i	0.455158	+	0.890411i	$0.349583\pi$
$440$	2910.96	−	416.700i	0.315397	−	0.0451486i
$441$	−5339.61	−	3879.45i	−0.576569	−	0.418902i
$442$	1687.91	−	548.434i	0.181641	−	0.0590188i
$443$			1840.90i			0.197435i	0.995115	+	0.0987175i	$0.0314740\pi$
$443$			1840.90i			0.197435i	−0.995115	+	0.0987175i	$0.968526\pi$
$444$	799.001	+	2459.07i	0.0854029	+	0.262843i
$445$	−1485.82	−	258.076i	−0.158280	−	0.0274921i
$446$	−158.201	+	486.893i	−0.0167961	+	0.0516929i
$447$	3284.40	+	1067.17i	0.347532	+	0.112920i
$448$	191.372	+	263.401i	0.0201819	+	0.0277780i
$449$	−676.385			−0.0710926			−0.0355463	−	0.999368i	$-0.511317\pi$
$449$	−676.385			−0.0710926			−0.0355463	+	0.999368i	$0.511317\pi$
$450$	−891.003	−	26.5544i	−0.0933384	−	0.00278175i
$451$	−8152.68			−0.851208
$452$	8137.69	+	11200.6i	0.846824	+	1.16555i
$453$	4090.30	+	1329.02i	0.424237	+	0.137843i
$454$	278.372	−	856.742i	0.0287768	−	0.0885658i
$455$	53.7866	+	375.740i	0.00554188	+	0.0387142i
$456$	280.957	+	864.696i	0.0288531	+	0.0888007i
$457$		−	18275.5i		−	1.87066i	−0.353774	−	0.935331i	$-0.615102\pi$
$457$		−	18275.5i		−	1.87066i	0.353774	−	0.935331i	$-0.384898\pi$
$458$	−5.63631	+	1.83135i	−0.000575038	+	0.000186841i
$459$	−10402.1	−	7557.59i	−1.05780	−	0.768536i
$460$	9086.56	+	4801.66i	0.921007	+	0.486692i
$461$	6950.41	−	5049.77i	0.702197	−	0.510176i	−0.178450	−	0.983949i	$-0.557108\pi$
$461$	6950.41	−	5049.77i	0.702197	−	0.510176i	0.880647	+	0.473773i	$0.157108\pi$
$462$	19.1710	−	26.3866i	0.00193055	−	0.00265718i
$463$	−8876.77	+	12217.8i	−0.891012	+	1.22637i	0.0822358	+	0.996613i	$0.473794\pi$
$463$	−8876.77	+	12217.8i	−0.891012	+	1.22637i	−0.973247	+	0.229759i	$0.926206\pi$
$464$	−5720.26	+	4156.01i	−0.572320	+	0.415815i
$465$	1413.49	−	1371.99i	0.140965	−	0.136827i
$466$	6.21418	+	4.51487i	0.000617739	+	0.000448814i
$467$	−4226.15	+	1373.16i	−0.418764	+	0.136065i	−0.510817	−	0.859689i	$-0.670657\pi$
$467$	−4226.15	+	1373.16i	−0.418764	+	0.136065i	0.0920531	+	0.995754i	$0.470657\pi$
$468$		−	7270.61i		−	0.718129i
$469$	204.773	+	630.228i	0.0201611	+	0.0620495i
$470$	−296.875	+	561.800i	−0.0291357	+	0.0551359i
$471$	−966.924	+	2975.89i	−0.0945934	+	0.291129i
$472$	516.337	+	167.768i	0.0503524	+	0.0163605i
$473$	11016.5	+	15163.0i	1.07091	+	1.47398i
$474$	−692.851			−0.0671386
$475$	6683.93	−	1953.62i	0.645642	−	0.188712i
$476$	−556.064			−0.0535445
$477$	−5663.69	−	7795.40i	−0.543653	−	0.748274i
$478$	−729.909	−	237.162i	−0.0698436	−	0.0226936i
$479$	5838.48	−	17969.0i	0.556925	−	1.71404i	−0.133880	−	0.990998i	$-0.542744\pi$
$479$	5838.48	−	17969.0i	0.556925	−	1.71404i	0.690805	−	0.723041i	$-0.257256\pi$
$480$	−1937.48	+	951.109i	−0.184236	+	0.0904417i
$481$	−1753.75	−	5397.47i	−0.166245	−	0.511650i
$482$			1561.16i			0.147529i
$483$	218.707	−	71.0622i	0.0206035	−	0.00669450i
$484$	−4303.52	−	3126.69i	−0.404163	−	0.293641i
$485$	1439.70	+	2932.78i	0.134791	+	0.274579i
$486$	1175.24	−	853.860i	0.109691	−	0.0796952i
$487$	−1432.05	+	1971.04i	−0.133249	+	0.183401i	−0.870428	−	0.492296i	$-0.836158\pi$
$487$	−1432.05	+	1971.04i	−0.133249	+	0.183401i	0.737179	+	0.675698i	$0.236158\pi$
$488$	−2227.94	+	3066.50i	−0.206668	+	0.284454i
$489$	5667.43	−	4117.63i	0.524111	−	0.380789i
$490$	242.500	−	1396.15i	0.0223572	−	0.128717i
$491$	6665.13	+	4842.50i	0.612614	+	0.445090i	0.850334	−	0.526244i	$-0.176400\pi$
$491$	6665.13	+	4842.50i	0.612614	+	0.445090i	−0.237720	+	0.971334i	$0.576400\pi$
$492$	3783.09	−	1229.20i	0.346656	−	0.112635i
$493$		−	11636.5i		−	1.06305i
$494$	−305.677	−	940.779i	−0.0278402	−	0.0856835i
$495$	6723.48	+	6926.84i	0.610501	+	0.628966i
$496$	−1189.33	+	3660.37i	−0.107666	+	0.331362i
$497$	104.999	+	34.1163i	0.00947656	+	0.00307912i
$498$	810.272	+	1115.24i	0.0729100	+	0.100352i
$499$	19450.0			1.74489			0.872445	−	0.488712i	$-0.162533\pi$
$499$	19450.0			1.74489			0.872445	+	0.488712i	$0.162533\pi$
$500$	4546.47	+	10004.3i	0.406648	+	0.894815i
$501$	−3352.84			−0.298989
$502$	1294.76	+	1782.09i	0.115116	+	0.158443i
$503$	15161.5	+	4926.27i	1.34397	+	0.436683i	0.890661	−	0.454669i	$-0.150242\pi$
$503$	15161.5	+	4926.27i	1.34397	+	0.436683i	0.453312	+	0.891352i	$0.350242\pi$
$504$	24.7332	−	76.1210i	0.00218592	−	0.00672758i
$505$	−6190.10	−	6377.33i	−0.545457	−	0.561955i
$506$	598.978	+	1843.47i	0.0526242	+	0.161961i
$507$		−	292.957i		−	0.0256621i
$508$	−7706.88	+	2504.12i	−0.673105	+	0.218705i
$509$	−13512.7	−	9817.55i	−1.17670	−	0.854922i	−0.184904	−	0.982757i	$-0.559197\pi$
$509$	−13512.7	−	9817.55i	−1.17670	−	0.854922i	−0.991796	+	0.127835i	$0.959197\pi$
$510$	196.749	−	1132.74i	0.0170827	−	0.0983505i
$511$	344.475	−	250.276i	0.0298213	−	0.0216665i
$512$	4155.13	−	5719.04i	0.358657	−	0.493649i
$513$	−4212.33	+	5797.78i	−0.362532	+	0.498983i
$514$	−1005.62	+	730.629i	−0.0862961	+	0.0626978i
$515$	8789.98	+	17905.8i	0.752102	+	1.53209i
$516$	−7398.15	−	5375.07i	−0.631173	−	0.458574i
$517$	6544.38	−	2126.40i	0.556714	−	0.180888i
$518$		−	30.9682i		−	0.00262677i
$519$	−999.431	−	3075.93i	−0.0845282	−	0.260151i
$520$	2826.94	−	1387.75i	0.238403	−	0.117032i
$521$	−855.949	+	2634.34i	−0.0719766	+	0.221521i	−0.980573	−	0.196154i	$-0.937155\pi$
$521$	−855.949	+	2634.34i	−0.0719766	+	0.221521i	0.908597	+	0.417675i	$0.137155\pi$
$522$	789.602	+	256.557i	0.0662067	+	0.0215119i
$523$	−6718.99	−	9247.90i	−0.561761	−	0.773198i	0.429788	−	0.902930i	$-0.358588\pi$
$523$	−6718.99	−	9247.90i	−0.561761	−	0.773198i	−0.991549	+	0.129732i	$0.958588\pi$
$524$	5834.54			0.486418
$525$	231.486	+	82.9161i	0.0192435	+	0.00689287i
$526$	−260.133			−0.0215634
$527$	−3723.09	−	5124.39i	−0.307742	−	0.423571i
$528$	7195.00	+	2337.80i	0.593034	+	0.192689i
$529$	−463.391	+	1426.17i	−0.0380859	+	0.117216i
$530$	966.560	−	1829.10i	0.0792164	−	0.149908i
$531$	550.737	+	1694.99i	0.0450093	+	0.138524i
$532$			309.930i			0.0252579i
$533$	−8303.59	+	2698.00i	−0.674800	+	0.219256i
$534$	112.272	+	81.5702i	0.00909826	+	0.00661027i
$535$	3810.98	−	3699.10i	0.307968	−	0.298927i
$536$	4447.91	−	3231.60i	0.358434	−	0.260417i
$537$	−7185.19	+	9889.56i	−0.577400	+	0.794723i
$538$	−1555.72	+	2141.27i	−0.124669	+	0.171592i
$539$	−12415.0	+	9020.02i	−0.992118	+	0.720816i
$540$	−9998.86	−	5283.75i	−0.796820	−	0.421067i
$541$	−131.657	−	95.6542i	−0.0104628	−	0.00760165i	0.582542	−	0.812801i	$-0.302058\pi$
$541$	−131.657	−	95.6542i	−0.0104628	−	0.00760165i	−0.593004	+	0.805199i	$0.702058\pi$
$542$	−726.257	+	235.975i	−0.0575561	+	0.0187011i
$543$		−	9012.03i		−	0.712235i
$544$	2144.64	+	6600.52i	0.169027	+	0.520211i
$545$	−3546.35	−	24773.9i	−0.278732	−	1.94715i
$546$	10.7936	−	33.2193i	0.000846014	−	0.00260376i
$547$	11059.1	+	3593.32i	0.864448	+	0.280876i	0.707485	−	0.706728i	$-0.249830\pi$
$547$	11059.1	+	3593.32i	0.864448	+	0.280876i	0.156963	+	0.987604i	$0.449830\pi$
$548$	−1886.90	−	2597.09i	−0.147088	−	0.202449i
$549$	−12442.8			−0.967300
$550$	−698.894	+	1951.18i	−0.0541835	+	0.151270i
$551$	−6485.79			−0.501459
$552$	−1121.46	−	1543.55i	−0.0864716	−	0.119018i
$553$	−453.157	−	147.240i	−0.0348466	−	0.0113224i
$554$	56.8336	−	174.916i	0.00435854	−	0.0134142i
$555$	−3622.22	−	629.151i	−0.277035	−	0.0481189i
$556$	3200.50	+	9850.13i	0.244121	+	0.751329i
$557$			13061.9i			0.993624i	0.867858	+	0.496812i	$0.165496\pi$
$557$			13061.9i			0.993624i	−0.867858	+	0.496812i	$0.834504\pi$
$558$	429.802	−	139.651i	0.0326075	−	0.0105948i
$559$	16238.4	+	11797.9i	1.22864	+	0.892659i
$560$	−475.574	+	68.0777i	−0.0358869	+	0.00513716i
$561$	−10072.7	+	7318.28i	−0.758060	+	0.550763i
$562$	−625.944	+	861.539i	−0.0469820	+	0.0646651i
$563$	9040.55	−	12443.2i	0.676756	−	0.931475i	−0.323133	−	0.946354i	$-0.604736\pi$
$563$	9040.55	−	12443.2i	0.676756	−	0.931475i	0.999889	+	0.0148785i	$0.00473615\pi$
$564$	−2716.18	+	1973.42i	−0.202787	+	0.147334i
$565$	−19486.8	+	2789.51i	−1.45100	+	0.207709i
$566$	−1488.51	−	1081.46i	−0.110542	−	0.0803132i
$567$	109.450	−	35.5625i	0.00810666	−	0.00263401i
$568$		−	915.981i		−	0.0676650i
$569$	4432.90	+	13643.1i	0.326602	+	1.00518i	0.970712	+	0.240246i	$0.0772280\pi$
$569$	4432.90	+	13643.1i	0.326602	+	1.00518i	−0.644110	+	0.764933i	$0.722772\pi$
$570$	−631.351	−	109.661i	−0.0463937	−	0.00805823i
$571$	3941.24	−	12129.9i	0.288854	−	0.889001i	−0.696363	−	0.717690i	$-0.745200\pi$
$571$	3941.24	−	12129.9i	0.288854	−	0.889001i	0.985217	−	0.171311i	$-0.0548004\pi$
$572$	−16077.4	−	5223.85i	−1.17522	−	0.381853i
$573$	5186.15	+	7138.12i	0.378106	+	0.520418i
$574$	−47.6421			−0.00346436
$575$	−12072.8	+	8233.32i	−0.875601	+	0.597136i
$576$	8867.52			0.641458
$577$	−1124.51	−	1547.76i	−0.0811335	−	0.111671i	0.766521	−	0.642219i	$-0.221986\pi$
$577$	−1124.51	−	1547.76i	−0.0811335	−	0.111671i	−0.847655	+	0.530548i	$0.821986\pi$
$578$	−1786.85	−	580.583i	−0.128587	−	0.0417804i
$579$	−438.695	+	1350.17i	−0.0314880	+	0.0969101i
$580$	−1450.34	−	10131.7i	−0.103831	−	0.725336i
$581$	292.952	+	901.615i	0.0209186	+	0.0643809i
$582$		−	300.646i		−	0.0214126i
$583$	−21307.1	+	6923.10i	−1.51364	+	0.491810i
$584$	−2858.02	−	2076.47i	−0.202510	−	0.147132i
$585$	9140.25	+	4830.03i	0.645988	+	0.341362i
$586$	1759.98	−	1278.70i	0.124068	−	0.0901408i
$587$	6921.48	−	9526.60i	0.486678	−	0.669855i	−0.493093	−	0.869977i	$-0.664134\pi$
$587$	6921.48	−	9526.60i	0.486678	−	0.669855i	0.979771	+	0.200122i	$0.0641337\pi$
$588$	4400.96	−	6057.40i	0.308660	−	0.424835i
$589$	−2856.15	+	2075.12i	−0.199806	+	0.145168i
$590$	−274.571	+	266.510i	−0.0191591	+	0.0185967i
$591$	5704.31	+	4144.43i	0.397029	+	0.288458i
$592$	6831.58	−	2219.72i	0.474284	−	0.154104i
$593$		−	12430.5i		−	0.860809i	−0.902636	−	0.430405i	$-0.858371\pi$
$593$		−	12430.5i		−	0.860809i	0.902636	−	0.430405i	$-0.141629\pi$
$594$	−659.117	−	2028.55i	−0.0455284	−	0.140122i
$595$	369.406	−	699.056i	0.0254524	−	0.0481655i
$596$	3018.19	−	9289.04i	0.207433	−	0.638413i
$597$	−3018.91	−	980.902i	−0.206961	−	0.0672456i
$598$	1220.13	+	1679.37i	0.0834362	+	0.114840i
$599$	8465.76			0.577465			0.288732	−	0.957410i	$-0.406766\pi$
$599$	8465.76			0.577465			0.288732	+	0.957410i	$0.406766\pi$
$600$	60.7728	−	2039.16i	0.00413507	−	0.138747i
$601$	17768.5			1.20598			0.602989	−	0.797749i	$-0.293976\pi$
$601$	17768.5			1.20598			0.602989	+	0.797749i	$0.293976\pi$
$602$	64.3777	+	88.6083i	0.00435853	+	0.00599901i
$603$	17164.8	+	5577.20i	1.15921	+	0.376652i
$604$	3758.77	−	11568.3i	0.253216	−	0.779318i
$605$	6789.65	−	3333.04i	0.456262	−	0.223979i
$606$	252.728	+	777.818i	0.0169412	+	0.0521397i
$607$			11034.8i			0.737869i	0.929455	+	0.368935i	$0.120277\pi$
$607$			11034.8i			0.737869i	−0.929455	+	0.368935i	$0.879723\pi$
$608$	3678.89	−	1195.34i	0.245393	−	0.0797329i
$609$	−185.278	−	134.612i	−0.0123282	−	0.00895693i
$610$	−1177.24	−	2398.11i	−0.0781392	−	0.159175i
$611$	5961.81	−	4331.51i	0.394745	−	0.286799i
$612$	−8901.97	+	12252.5i	−0.587975	+	0.809278i
$613$	6909.85	−	9510.59i	0.455279	−	0.626638i	−0.518242	−	0.855234i	$-0.673413\pi$
$613$	6909.85	−	9510.59i	0.455279	−	0.626638i	0.973521	+	0.228596i	$0.0734135\pi$
$614$	−250.714	+	182.154i	−0.0164788	+	0.0119726i
$615$	−967.900	+	5572.49i	−0.0634626	+	0.365373i
$616$	−150.554	−	109.384i	−0.00984741	−	0.00715456i
$617$	−13474.5	+	4378.12i	−0.879192	+	0.285667i	−0.713622	−	0.700531i	$-0.752946\pi$
$617$	−13474.5	+	4378.12i	−0.879192	+	0.285667i	−0.165570	+	0.986198i	$0.552946\pi$
$618$		−	1835.56i		−	0.119478i
$619$	4959.92	+	15265.1i	0.322061	+	0.991202i	0.972750	+	0.231858i	$0.0744804\pi$
$619$	4959.92	+	15265.1i	0.322061	+	0.991202i	−0.650689	+	0.759345i	$0.725520\pi$
$620$	−3880.30	−	3997.66i	−0.251349	−	0.258952i
$621$	4647.22	−	14302.7i	0.300300	−	0.924229i
$622$	−948.596	−	308.217i	−0.0611499	−	0.0198688i
$623$	56.0962	+	77.2099i	0.00360746	+	0.00496524i
$624$	8101.83			0.519764
$625$	−15597.3	−	930.513i	−0.998225	−	0.0595528i
$626$	−793.008			−0.0506309
$627$	4078.95	+	5614.19i	0.259805	+	0.357590i
$628$	8416.48	+	2734.68i	0.534800	+	0.173767i
$629$	−3653.11	+	11243.1i	−0.231572	+	0.712707i
$630$	39.2902	+	40.4786i	0.00248470	+	0.00255985i
$631$	7330.07	+	22559.6i	0.462449	+	1.42327i	0.862163	+	0.506632i	$0.169110\pi$
$631$	7330.07	+	22559.6i	0.462449	+	1.42327i	−0.399714	+	0.916640i	$0.630890\pi$
$632$			3953.21i			0.248813i
$633$	5802.53	−	1885.36i	0.364344	−	0.118383i
$634$	−791.928	−	575.370i	−0.0496080	−	0.0360424i
$635$	1971.80	−	11352.2i	0.123226	−	0.709449i
$636$	8843.31	−	6425.04i	0.551353	−	0.400581i
$637$	−9659.76	+	13295.5i	−0.600838	+	0.826982i
$638$	1134.64	−	1561.70i	0.0704087	−	0.0969093i
$639$	2432.65	−	1767.42i	0.150601	−	0.109418i
$640$	3575.77	+	7284.10i	0.220851	+	0.449890i
$641$	−695.498	−	505.309i	−0.0428557	−	0.0311365i	0.566151	−	0.824301i	$-0.308432\pi$
$641$	−695.498	−	505.309i	−0.0428557	−	0.0311365i	−0.609007	+	0.793165i	$0.708432\pi$
$642$	−464.811	+	151.026i	−0.0285742	+	0.00928431i
$643$		−	19651.3i		−	1.20525i	−0.798026	−	0.602623i	$-0.794122\pi$
$643$		−	19651.3i		−	1.20525i	0.798026	−	0.602623i	$-0.205878\pi$
$644$	−200.980	−	618.553i	−0.0122977	−	0.0378485i
$645$	11672.0	−	5729.81i	0.712536	−	0.349784i
$646$	−636.736	+	1959.67i	−0.0387803	+	0.119353i
$647$	−14179.1	−	4607.08i	−0.861576	−	0.279943i	−0.155289	−	0.987869i	$-0.549631\pi$
$647$	−14179.1	−	4607.08i	−0.861576	−	0.279943i	−0.706287	+	0.707926i	$0.749631\pi$
$648$	−561.224	−	772.459i	−0.0340231	−	0.0468288i
$649$	4143.80			0.250629
$650$	−66.1200	+	2218.58i	−0.00398991	+	0.133877i
$651$	−124.660			−0.00750508
$652$	−11645.6	−	16028.8i	−0.699505	−	0.962785i
$653$	−14002.7	−	4549.75i	−0.839154	−	0.272658i	−0.142258	−	0.989830i	$-0.545436\pi$
$653$	−14002.7	−	4549.75i	−0.839154	−	0.272658i	−0.696896	+	0.717172i	$0.745436\pi$
$654$	−711.663	+	2190.27i	−0.0425508	+	0.130958i
$655$	−3876.01	+	7334.89i	−0.231219	+	0.437554i
$656$	−3414.86	−	10509.8i	−0.203243	−	0.625519i
$657$		−	11596.9i		−	0.688644i
$658$	38.2436	−	12.4261i	0.00226579	−	0.000736200i
$659$	−13431.0	−	9758.20i	−0.793927	−	0.576821i	0.115199	−	0.993342i	$-0.463249\pi$
$659$	−13431.0	−	9758.20i	−0.793927	−	0.576821i	−0.909126	+	0.416521i	$0.863249\pi$
$660$	−7858.00	+	7627.29i	−0.463442	+	0.449836i
$661$	4102.71	−	2980.79i	0.241417	−	0.175400i	−0.460497	−	0.887661i	$-0.652329\pi$
$661$	4102.71	−	2980.79i	0.241417	−	0.175400i	0.701915	+	0.712261i	$0.252329\pi$
$662$	1475.34	−	2030.63i	0.0866175	−	0.119219i
$663$	−7837.32	+	10787.1i	−0.459089	+	0.631882i
$664$	6363.26	−	4623.18i	0.371901	−	0.270202i
$665$	−389.629	−	205.894i	−0.0227205	−	0.0120063i
$666$	−682.364	−	495.766i	−0.0397013	−	0.0288447i
$667$	12944.2	−	4205.83i	0.751427	−	0.244154i
$668$			9482.58i			0.549240i
$669$	−1188.55	−	3657.97i	−0.0686874	−	0.211398i
$670$	549.097	+	3835.85i	0.0316619	+	0.221182i
$671$	−8940.04	+	27514.6i	−0.514346	+	1.58299i
$672$	129.903	+	42.2082i	0.00745704	+	0.00242294i
$673$	−7532.25	−	10367.2i	−0.431422	−	0.593801i	0.536857	−	0.843673i	$-0.319611\pi$
$673$	−7532.25	−	10367.2i	−0.431422	−	0.593801i	−0.968279	+	0.249872i	$0.919611\pi$
$674$	2683.64			0.153368
$675$	13284.9	−	9059.96i	0.757536	−	0.516619i
$676$	−828.548			−0.0471409
$677$	11743.9	+	16164.1i	0.666699	+	0.917633i	0.999680	−	0.0253011i	$-0.00805445\pi$
$677$	11743.9	+	16164.1i	0.666699	+	0.917633i	−0.332981	+	0.942934i	$0.608054\pi$
$678$	1722.84	+	559.784i	0.0975888	+	0.0317085i
$679$	63.8910	−	196.636i	0.00361106	−	0.0111137i
$680$	−6463.11	−	1122.59i	−0.364484	−	0.0633081i
$681$	2091.38	+	6436.61i	0.117683	+	0.362190i
$682$		−	1050.75i		−	0.0589960i
$683$	−7308.79	+	2374.77i	−0.409463	+	0.133043i	−0.506504	−	0.862238i	$-0.669062\pi$
$683$	−7308.79	+	2374.77i	−0.409463	+	0.133043i	0.0970406	+	0.995280i	$0.469062\pi$
$684$	6829.11	+	4961.64i	0.381751	+	0.277358i
$685$	4518.44	−	646.807i	0.252030	−	0.0360777i
$686$	−145.206	+	105.498i	−0.00808161	+	0.00587164i
$687$	26.1707	−	36.0208i	0.00145338	−	0.00200041i
$688$	−14932.6	+	20552.9i	−0.827469	+	1.13891i
$689$	−19410.4	+	14102.5i	−1.07326	+	0.779770i
$690$	1331.15	−	190.552i	0.0734435	−	0.0105133i
$691$	−26372.9	−	19161.0i	−1.45191	−	1.05488i	−0.985380	−	0.170372i	$-0.945503\pi$
$691$	−26372.9	−	19161.0i	−1.45191	−	1.05488i	−0.466533	−	0.884504i	$-0.654497\pi$
$692$	−8699.43	+	2826.62i	−0.477894	+	0.155277i
$693$		−	610.900i		−	0.0334866i
$694$	862.367	+	2654.09i	0.0471686	+	0.145170i
$695$	−14509.3	−	2520.15i	−0.791895	−	0.137546i
$696$	−587.160	+	1807.09i	−0.0319773	+	0.0984161i
$697$	17296.6	+	5620.02i	0.939967	+	0.305414i
$698$	−551.317	−	758.823i	−0.0298964	−	0.0411488i
$699$	−57.7077			−0.00312261
$700$	234.506	−	654.694i	0.0126621	−	0.0353502i
$701$	−21341.6			−1.14987			−0.574936	−	0.818198i	$-0.694973\pi$
$701$	−21341.6			−1.14987			−0.574936	+	0.818198i	$0.694973\pi$
$702$	−1342.63	−	1847.98i	−0.0721858	−	0.0993552i
$703$	6266.51	+	2036.11i	0.336196	+	0.109237i
$704$	6371.21	−	19608.6i	0.341085	−	1.04975i
$705$	−676.468	−	4725.64i	−0.0361380	−	0.252451i
$706$	207.284	+	637.953i	0.0110499	+	0.0340081i
$707$			562.437i			0.0299188i
$708$	−1922.85	+	624.771i	−0.102069	+	0.0331643i
$709$	12917.1	+	9384.81i	0.684219	+	0.497114i	0.874755	−	0.484566i	$-0.161022\pi$
$709$	12917.1	+	9384.81i	0.684219	+	0.497114i	−0.190536	+	0.981680i	$0.561022\pi$
$710$	570.792	+	301.626i	0.0301710	+	0.0159434i
$711$	−10498.9	+	7627.87i	−0.553780	+	0.402345i
$712$	465.416	−	640.590i	0.0244975	−	0.0337179i
$713$	4354.61	−	5993.60i	0.228725	−	0.314814i
$714$	−58.8624	+	42.7661i	−0.00308525	+	0.00224157i
$715$	17247.7	−	16741.3i	0.902136	−	0.875650i
$716$	27969.9	+	20321.4i	1.45990	+	1.06068i
$717$	5483.72	−	1781.77i	0.285625	−	0.0928053i
$718$			126.082i			0.00655341i
$719$	−4510.42	−	13881.6i	−0.233950	−	0.720024i	−0.997259	−	0.0739906i	$-0.976427\pi$
$719$	−4510.42	−	13881.6i	−0.233950	−	0.720024i	0.763309	−	0.646034i	$-0.223573\pi$
$720$	−6113.36	+	11568.8i	−0.316433	+	0.598811i
$721$	390.080	−	1200.54i	0.0201489	−	0.0620119i
$722$	−1321.75	−	429.462i	−0.0681307	−	0.0221370i
$723$	−6894.02	−	9488.80i	−0.354621	−	0.488094i
$724$	−25488.1			−1.30837
$725$	13700.5	+	4907.41i	0.701827	+	0.251388i
$726$	−696.021			−0.0355809
$727$	−3331.64	−	4585.61i	−0.169964	−	0.233935i	0.715535	−	0.698577i	$-0.246183\pi$
$727$	−3331.64	−	4585.61i	−0.169964	−	0.233935i	−0.885499	+	0.464642i	$0.846183\pi$
$728$	−189.540	−	61.5852i	−0.00964947	−	0.00313530i
$729$	−2015.46	+	6202.94i	−0.102396	+	0.315142i
$730$	2235.08	−	1097.20i	0.113321	−	0.0556292i
$731$	−12920.0	−	39763.8i	−0.653713	−	2.01192i
$732$		−	14115.5i		−	0.712738i
$733$	24181.1	−	7856.90i	1.21848	−	0.395909i	0.371953	−	0.928251i	$-0.378688\pi$
$733$	24181.1	−	7856.90i	1.21848	−	0.395909i	0.846529	+	0.532342i	$0.178688\pi$
$734$	1524.25	+	1107.43i	0.0766499	+	0.0556894i
$735$	4691.40	+	9556.72i	0.235435	+	0.479599i
$736$	−6567.12	+	4771.29i	−0.328896	+	0.238957i
$737$	24665.5	−	33949.1i	1.23279	−	1.69679i
$738$	−762.697	+	1049.76i	−0.0380424	+	0.0523608i
$739$	6252.99	−	4543.06i	0.311258	−	0.226142i	−0.421178	−	0.906978i	$-0.638383\pi$
$739$	6252.99	−	4543.06i	0.311258	−	0.226142i	0.732436	+	0.680836i	$0.238383\pi$
$740$	−1779.38	+	10244.4i	−0.0883938	+	0.508910i
$741$	6012.37	+	4368.24i	0.298070	+	0.216561i
$742$	−124.513	+	40.4567i	−0.00616040	+	0.00200164i
$743$			29299.2i			1.44668i	0.690491	+	0.723341i	$0.257395\pi$
$743$			29299.2i			1.44668i	−0.690491	+	0.723341i	$0.742605\pi$
$744$	319.607	+	983.650i	0.0157492	+	0.0484709i
$745$	9672.67	+	9965.24i	0.475677	+	0.490064i
$746$	112.223	−	345.388i	0.00550776	−	0.0169511i
$747$	24556.3	+	7978.83i	1.20277	+	0.390804i
$748$	20697.7	+	28488.0i	1.01174	+	1.39255i
$749$	−336.103			−0.0163964
$750$	1250.69	+	709.352i	0.0608915	+	0.0345358i
$751$	−2404.94			−0.116854			−0.0584271	−	0.998292i	$-0.518609\pi$
$751$	−2404.94			−0.116854			−0.0584271	+	0.998292i	$0.518609\pi$
$752$	5482.39	+	7545.87i	0.265854	+	0.365917i
$753$	−15739.3	−	5114.00i	−0.761714	−	0.247496i
$754$	638.822	−	1966.09i	0.0308548	−	0.0949614i
$755$	12046.1	+	12410.4i	0.580664	+	0.598227i
$756$	221.159	+	680.657i	0.0106395	+	0.0327450i
$757$			1586.56i			0.0761752i	0.999274	+	0.0380876i	$0.0121266\pi$
$757$			1586.56i			0.0761752i	−0.999274	+	0.0380876i	$0.987873\pi$
$758$	975.848	−	317.072i	0.0467604	−	0.0151934i
$759$	−11781.3	−	8559.62i	−0.563418	−	0.409347i
$760$	−625.694	+	3602.31i	−0.0298635	+	0.171934i
$761$	766.665	−	557.014i	0.0365198	−	0.0265332i	−0.569376	−	0.822077i	$-0.692815\pi$
$761$	766.665	−	557.014i	0.0365198	−	0.0265332i	0.605895	+	0.795544i	$0.292815\pi$
$762$	−623.227	+	857.799i	−0.0296288	+	0.0407806i
$763$	−930.921	+	1281.30i	−0.0441699	+	0.0607946i
$764$	20188.2	−	14667.6i	0.956001	−	0.694575i
$765$	−9489.46	−	19330.7i	−0.448487	−	0.913599i
$766$	−2199.66	−	1598.15i	−0.103756	−	0.0753830i
$767$	4220.50	−	1371.32i	0.198688	−	0.0645575i
$768$			9488.04i			0.445795i
$769$	−9920.19	−	30531.2i	−0.465190	−	1.43171i	−0.858743	−	0.512406i	$-0.828754\pi$
$769$	−9920.19	−	30531.2i	−0.465190	−	1.43171i	0.393553	−	0.919302i	$-0.371246\pi$
$770$	117.739	−	57.7982i	0.00551042	−	0.00270507i
$771$	2885.81	−	8881.61i	0.134799	−	0.414868i
$772$	3818.57	+	1240.73i	0.178023	+	0.0578431i
$773$	7894.01	+	10865.2i	0.367306	+	0.505554i	0.952166	−	0.305581i	$-0.0988506\pi$
$773$	7894.01	+	10865.2i	0.367306	+	0.505554i	−0.584860	+	0.811134i	$0.698851\pi$
$774$	2983.04			0.138531
$775$	7603.43	−	2222.38i	0.352417	−	0.103007i
$776$	−1715.40			−0.0793546
$777$	136.755	+	188.226i	0.00631408	+	0.00869059i
$778$	−1953.85	−	634.845i	−0.0900373	−	0.0292549i
$779$	3132.40	−	9640.54i	0.144069	−	0.443399i
$780$	−5479.31	+	10368.9i	−0.251527	+	0.475984i
$781$	−2160.43	−	6649.13i	−0.0989838	−	0.304641i
$782$		−	4323.98i		−	0.197730i
$783$	−14243.8	+	4628.10i	−0.650106	+	0.211232i
$784$	−16828.1	−	12226.4i	−0.766588	−	0.556958i
$785$	−9029.15	+	8764.07i	−0.410528	+	0.398475i
$786$	617.618	−	448.726i	0.0280276	−	0.0203632i
$787$	−4301.51	+	5920.53i	−0.194832	+	0.268163i	−0.895245	−	0.445575i	$-0.852999\pi$
$787$	−4301.51	+	5920.53i	−0.194832	+	0.268163i	0.700413	+	0.713738i	$0.252999\pi$
$788$	11721.4	−	16133.1i	0.529895	−	0.729337i
$789$	1581.10	−	1148.74i	0.0713419	−	0.0518329i
$790$	−2463.43	−	1301.76i	−0.110943	−	0.0586262i
$791$	1007.86	+	732.250i	0.0453037	+	0.0329150i
$792$	−4820.41	+	1566.25i	−0.216270	+	0.0702704i
$793$			30982.4i			1.38741i
$794$	−706.631	−	2174.79i	−0.0315836	−	0.0972043i
$795$	2202.44	+	15385.7i	0.0982545	+	0.686382i
$796$	−2774.21	+	8538.15i	−0.123529	+	0.380184i
$797$	−25178.7	−	8181.05i	−1.11904	−	0.363598i	−0.309639	−	0.950854i	$-0.600208\pi$
$797$	−25178.7	−	8181.05i	−1.11904	−	0.363598i	−0.809401	+	0.587256i	$0.800208\pi$
$798$	23.8363	+	32.8078i	0.00105739	+	0.00145537i
$799$	−15350.3			−0.679668
$800$	−8675.70	−	258.561i	−0.383416	−	0.0114269i
$801$	2599.31			0.114659
$802$	−480.678	−	661.596i	−0.0211638	−	0.0291294i
$803$	−25644.0	−	8332.25i	−1.12697	−	0.366175i
$804$	−6326.92	+	19472.3i	−0.277529	+	0.854147i
$805$	911.129	+	158.256i	0.0398920	+	0.00692894i
$806$	−347.729	−	1070.20i	−0.0151963	−	0.0467694i
$807$		−	19884.8i		−	0.867381i
$808$	4438.00	−	1441.99i	0.193228	−	0.0627837i
$809$	24175.1	+	17564.2i	1.05062	+	0.763319i	0.972330	−	0.233612i	$-0.0750545\pi$
$809$	24175.1	+	17564.2i	1.05062	+	0.763319i	0.0782885	+	0.996931i	$0.475054\pi$
$810$	666.164	−	95.3604i	0.0288971	−	0.00413657i
$811$	−22050.0	+	16020.3i	−0.954725	+	0.693648i	−0.951920	−	0.306348i	$-0.900893\pi$
$811$	−22050.0	+	16020.3i	−0.954725	+	0.693648i	−0.00280520	+	0.999996i	$0.500893\pi$
$812$	−380.714	+	524.009i	−0.0164538	+	0.0226467i
$813$	3372.17	−	4641.40i	0.145470	−	0.200223i
$814$	−1586.55	+	1152.69i	−0.0683151	+	0.0496338i
$815$	27887.0	−	3991.99i	1.19858	−	0.171574i
$816$	−13653.3	−	9919.69i	−0.585736	−	0.425562i
$817$	−22162.9	+	7201.16i	−0.949060	+	0.308368i
$818$		−	621.831i		−	0.0265792i
$819$	−202.168	−	622.208i	−0.00862553	−	0.0265466i
$820$	15760.3	+	2737.44i	0.671186	+	0.116580i
$821$	−9993.76	+	30757.6i	−0.424829	+	1.30749i	0.478329	+	0.878181i	$0.341243\pi$
$821$	−9993.76	+	30757.6i	−0.424829	+	1.30749i	−0.903158	+	0.429308i	$0.858757\pi$
$822$	−399.476	−	129.798i	−0.0169505	−	0.00550756i
$823$	−9516.98	−	13099.0i	−0.403088	−	0.554802i	0.558428	−	0.829553i	$-0.311405\pi$
$823$	−9516.98	−	13099.0i	−0.403088	−	0.554802i	−0.961516	+	0.274751i	$0.911405\pi$
$824$	−10473.2			−0.442780
$825$	−4368.41	−	14945.7i	−0.184350	−	0.630716i
$826$	24.2153			0.00102004
$827$	20185.2	+	27782.5i	0.848738	+	1.16819i	0.984139	+	0.177397i	$0.0567677\pi$
$827$	20185.2	+	27782.5i	0.848738	+	1.16819i	−0.135401	+	0.990791i	$0.543232\pi$
$828$	−16846.9	−	5473.88i	−0.707089	−	0.229747i
$829$	−8241.72	+	25365.4i	−0.345292	+	1.06270i	0.616136	+	0.787640i	$0.288697\pi$
$829$	−8241.72	+	25365.4i	−0.345292	+	1.06270i	−0.961428	+	0.275058i	$0.911303\pi$
$830$	785.547	+	5487.64i	0.0328515	+	0.229492i
$831$	426.985	+	1314.12i	0.0178242	+	0.0548574i
$832$		−	22079.9i		−	0.920053i
$833$	32557.4	−	10578.6i	1.35420	−	0.440006i
$834$	1096.35	+	796.545i	0.0455198	+	0.0330720i
$835$	−11921.0	−	6299.49i	−0.494065	−	0.261081i
$836$	15878.2	−	11536.2i	0.656889	−	0.477258i
$837$	−4791.81	+	6595.37i	−0.197884	+	0.272365i
$838$	586.515	−	807.269i	0.0241776	−	0.0332776i
$839$	15922.6	−	11568.5i	0.655197	−	0.476028i	−0.209841	−	0.977736i	$-0.567295\pi$
$839$	15922.6	−	11568.5i	0.655197	−	0.476028i	0.865037	+	0.501707i	$0.167295\pi$
$840$	−92.6398	+	89.9200i	−0.00380521	+	0.00369349i
$841$	8765.39	+	6368.43i	0.359399	+	0.261119i
$842$	3327.45	−	1081.15i	0.136189	−	0.0442506i
$843$		−	8000.63i		−	0.326876i
$844$	−5332.22	−	16410.9i	−0.217467	−	0.669296i
$845$	550.423	−	1041.61i	0.0224084	−	0.0424053i
$846$	338.437	−	1041.60i	0.0137538	−	0.0423297i
$847$	−455.230	−	147.913i	−0.0184674	−	0.00600042i
$848$	−17849.5	−	24567.7i	−0.722824	−	0.994881i
$849$	13822.9			0.558777
$850$	2827.80	−	3657.82i	0.114109	−	0.147602i
$851$	−13826.9			−0.556970
$852$	2005.01	+	2759.66i	0.0806227	+	0.110968i
$853$	−9368.78	−	3044.10i	−0.376062	−	0.122190i	0.114886	−	0.993379i	$-0.463350\pi$
$853$	−9368.78	−	3044.10i	−0.376062	−	0.122190i	−0.490948	+	0.871189i	$0.663350\pi$
$854$	−52.2432	+	160.788i	−0.00209336	+	0.00644269i
$855$	−10774.3	+	5289.09i	−0.430961	+	0.211559i
$856$	861.711	+	2652.08i	0.0344073	+	0.105895i
$857$			38173.7i			1.52157i	0.649002	+	0.760787i	$0.275187\pi$
$857$			38173.7i			1.52157i	−0.649002	+	0.760787i	$0.724813\pi$
$858$	−2103.63	+	683.512i	−0.0837027	+	0.0271966i
$859$	−4502.55	−	3271.29i	−0.178842	−	0.129936i	0.494763	−	0.869028i	$-0.335255\pi$
$859$	−4502.55	−	3271.29i	−0.178842	−	0.129936i	−0.673605	+	0.739092i	$0.735255\pi$
$860$	−16205.2	−	33011.1i	−0.642550	−	1.30892i
$861$	289.571	−	210.386i	0.0114618	−	0.00832745i
$862$	−2520.71	+	3469.46i	−0.0996007	+	0.137089i
$863$	−24859.6	+	34216.4i	−0.980570	+	1.34964i	−0.0440481	+	0.999029i	$0.514025\pi$
$863$	−24859.6	+	34216.4i	−0.980570	+	1.34964i	−0.936522	+	0.350609i	$0.885975\pi$
$864$	7226.47	−	5250.33i	0.284548	−	0.206736i
$865$	2225.74	−	12814.3i	0.0874884	−	0.503698i
$866$	4509.05	+	3276.02i	0.176933	+	0.128549i
$867$	13424.4	−	4361.86i	0.525856	−	0.170861i
$868$			352.567i			0.0137867i
$869$	9324.03	+	28696.4i	0.363977	+	1.12021i
$870$	−932.738	−	960.951i	−0.0363480	−	0.0374475i
$871$	13887.1	−	42740.1i	0.540237	−	1.66268i
$872$	12497.1	+	4060.54i	0.485326	+	0.157692i
$873$	−3309.93	−	4555.72i	−0.128321	−	0.176618i
$874$	−2410.03			−0.0932730
$875$	667.261	+	729.736i	0.0257801	+	0.0281938i
$876$	13155.9			0.507415
$877$	−22014.4	−	30300.3i	−0.847634	−	1.16667i	−0.984379	−	0.176061i	$-0.943664\pi$
$877$	−22014.4	−	30300.3i	−0.847634	−	1.16667i	0.136746	−	0.990606i	$-0.456336\pi$
$878$	1004.44	+	326.363i	0.0386085	+	0.0125447i
$879$	−5050.55	+	15544.0i	−0.193801	+	0.596457i
$880$	21189.5	+	21830.4i	0.811702	+	0.836253i
$881$	10177.6	+	31323.4i	0.389207	+	1.19786i	0.933382	+	0.358884i	$0.116843\pi$
$881$	10177.6	+	31323.4i	0.389207	+	1.19786i	−0.544175	+	0.838972i	$0.683157\pi$
$882$			2442.43i			0.0932436i
$883$	42902.9	−	13940.0i	1.63510	−	0.531277i	0.659667	−	0.751558i	$-0.270697\pi$
$883$	42902.9	−	13940.0i	1.63510	−	0.531277i	0.975437	+	0.220280i	$0.0706973\pi$
$884$	30508.5	+	22165.7i	1.16076	+	0.843341i
$885$	491.958	−	2832.35i	0.0186859	−	0.107580i
$886$	551.134	−	400.423i	0.0208981	−	0.0151834i
$887$	11971.2	−	16476.9i	0.453160	−	0.623721i	−0.519913	−	0.854219i	$-0.674036\pi$
$887$	11971.2	−	16476.9i	0.453160	−	0.623721i	0.973073	+	0.230498i	$0.0740356\pi$
$888$	1134.62	−	1561.67i	0.0428775	−	0.0590158i
$889$	−589.913	+	428.597i	−0.0222554	+	0.0161695i
$890$	245.924	+	500.965i	0.00926225	+	0.0188679i
$891$	−5895.86	−	4283.60i	−0.221682	−	0.161062i
$892$	−10345.6	+	3361.48i	−0.388336	+	0.126178i
$893$			8555.71i			0.320611i
$894$	−394.914	−	1215.42i	−0.0147739	−	0.0454695i
$895$	−44128.0	+	21662.5i	−1.64809	+	0.809047i
$896$	158.685	−	488.382i	0.00591662	−	0.0182095i
$897$	−14832.0	−	4819.22i	−0.552093	−	0.179386i
$898$	147.124	+	202.498i	0.00546724	+	0.00752501i
$899$	−7378.03			−0.273716
$900$	−10671.6	−	15648.1i	−0.395244	−	0.579559i
$901$	49977.3			1.84793
$902$	1773.33	+	2440.78i	0.0654605	+	0.0900987i
$903$	−782.582	−	254.276i	−0.0288402	−	0.00937075i
$904$	3193.97	−	9830.01i	0.117511	−	0.361661i
$905$	16932.3	−	32042.3i	0.621932	−	1.17693i
$906$	−491.815	−	1513.65i	−0.0180347	−	0.0555051i
$907$			40903.2i			1.49743i	0.662893	+	0.748714i	$0.269328\pi$
$907$			40903.2i			1.49743i	−0.662893	+	0.748714i	$0.730672\pi$
$908$	18204.2	−	5914.90i	0.665338	−	0.216182i
$909$	12392.9	+	9003.99i	0.452197	+	0.328541i
$910$	100.791	−	97.8318i	0.00367163	−	0.00356384i
$911$	9702.67	−	7049.40i	0.352869	−	0.256374i	−0.397202	−	0.917731i	$-0.630019\pi$
$911$	9702.67	−	7049.40i	0.352869	−	0.256374i	0.750072	+	0.661356i	$0.230019\pi$
$912$	−5528.88	+	7609.86i	−0.200745	+	0.276302i
$913$	35286.8	−	48568.2i	1.27911	−	1.76054i
$914$	−5471.38	+	3975.19i	−0.198006	+	0.143860i
$915$	17745.3	+	9377.24i	0.641138	+	0.338800i
$916$	−101.875	−	74.0166i	−0.00367472	−	0.00266984i
$917$	499.311	−	162.236i	0.0179811	−	0.00584242i
$918$			4758.11i			0.171069i
$919$	−481.004	−	1480.38i	−0.0172654	−	0.0531373i	0.942053	−	0.335465i	$-0.108893\pi$
$919$	−481.004	−	1480.38i	−0.0172654	−	0.0531373i	−0.959318	+	0.282328i	$0.908893\pi$
$920$	−1087.24	−	7595.16i	−0.0389621	−	0.272179i
$921$	719.466	−	2214.29i	0.0257407	−	0.0792218i
$922$	−3023.63	−	982.438i	−0.108002	−	0.0350920i
$923$	−4400.84	−	6057.24i	−0.156940	−	0.216009i
$924$	693.022			0.0246740
$925$	−11696.7	−	9042.56i	−0.415769	−	0.321424i
$926$	5588.64			0.198331
$927$	−20208.4	−	27814.5i	−0.716000	−	0.985489i
$928$	7688.36	+	2498.10i	0.271964	+	0.0883665i
$929$	−6157.79	+	18951.7i	−0.217471	+	0.669307i	0.781498	+	0.623908i	$0.214456\pi$
$929$	−6157.79	+	18951.7i	−0.217471	+	0.669307i	−0.998969	+	0.0453993i	$0.985544\pi$
$930$	−718.205	−	124.747i	−0.0253235	−	0.00439850i
$931$	−5896.11	−	18146.4i	−0.207559	−	0.638800i
$932$			163.210i			0.00573620i
$933$	7126.70	−	2315.60i	0.250072	−	0.0812534i
$934$	1330.35	+	966.556i	0.0466064	+	0.0338615i
$935$	−49563.7	+	7094.96i	−1.73359	+	0.248161i
$936$	−4391.31	+	3190.47i	−0.153349	+	0.111414i
$937$	−24543.1	+	33780.7i	−0.855698	+	1.17777i	0.126880	+	0.991918i	$0.459504\pi$
$937$	−24543.1	+	33780.7i	−0.855698	+	1.17777i	−0.982578	+	0.185849i	$0.940496\pi$
$938$	144.138	−	198.390i	0.00501736	−	0.00690581i
$939$	4819.94	−	3501.89i	0.167511	−	0.121704i
$940$	−13365.2	+	1913.21i	−0.463749	+	0.0663850i
$941$	9848.73	+	7155.52i	0.341190	+	0.247889i	0.745164	−	0.666882i	$-0.232371\pi$
$941$	9848.73	+	7155.52i	0.341190	+	0.247889i	−0.403974	+	0.914770i	$0.632371\pi$
$942$	1101.25	−	357.818i	0.0380899	−	0.0123762i
$943$			21271.7i			0.734571i
$944$	1735.68	+	5341.88i	0.0598429	+	0.184177i
$945$	−1002.61	−	174.145i	−0.0345130	−	0.00599466i
$946$	2143.28	−	6596.33i	0.0736617	−	0.226707i
$947$	−13750.0	−	4467.64i	−0.471820	−	0.153304i	0.0634491	−	0.997985i	$-0.479790\pi$
$947$	−13750.0	−	4467.64i	−0.471820	−	0.153304i	−0.535270	+	0.844681i	$0.679790\pi$
$948$	−8653.26	−	11910.2i	−0.296461	−	0.408043i
$949$	−28876.1			−0.987733
$950$	−2038.74	−	1576.12i	−0.0696267	−	0.0538273i
$951$	7354.20			0.250764
$952$	244.011	+	335.852i	0.00830718	+	0.0114339i
$953$	−14108.3	−	4584.06i	−0.479551	−	0.155816i	0.0592593	−	0.998243i	$-0.481126\pi$
$953$	−14108.3	−	4584.06i	−0.479551	−	0.155816i	−0.538810	+	0.842427i	$0.681126\pi$
$954$	−1101.88	+	3391.23i	−0.0373948	+	0.115089i
$955$	5027.90	+	35123.6i	0.170365	+	1.19013i
$956$	−5039.25	−	15509.2i	−0.170482	−	0.524690i
$957$			14502.6i			0.489867i
$958$	−6649.58	+	2160.58i	−0.224257	+	0.0728655i
$959$	−233.693	−	169.788i	−0.00786895	−	0.00571713i
$960$	−12646.4	−	6682.78i	−0.425166	−	0.224673i
$961$	20852.4	−	15150.1i	0.699955	−	0.508547i
$962$	−1234.45	+	1699.07i	−0.0413724	+	0.0569442i
$963$	−5380.63	+	7405.80i	−0.180050	+	0.247818i
$964$	−26836.5	+	19497.8i	−0.896623	+	0.651435i
$965$	−4096.55	+	3976.28i	−0.136655	+	0.132643i
$966$	−68.8468	−	50.0201i	−0.00229307	−	0.00166602i
$967$	7157.12	−	2325.49i	0.238012	−	0.0773348i	−0.187582	−	0.982249i	$-0.560065\pi$
$967$	7157.12	−	2325.49i	0.238012	−	0.0773348i	0.425594	+	0.904914i	$0.360065\pi$
$968$			3971.29i			0.131862i
$969$	−4783.73	−	14722.8i	−0.158592	−	0.488096i
$970$	564.869	−	1068.95i	0.0186978	−	0.0353833i
$971$	867.086	−	2668.62i	0.0286572	−	0.0881977i	−0.935705	−	0.352783i	$-0.885235\pi$
$971$	867.086	−	2668.62i	0.0286572	−	0.0881977i	0.964362	+	0.264586i	$0.0852352\pi$
$972$	29355.9	+	9538.31i	0.968715	+	0.314755i
$973$	547.788	+	753.965i	0.0180486	+	0.0248417i
$974$	901.588			0.0296599
$975$	−9395.29	−	13776.6i	−0.308605	−	0.452518i
$976$	−39214.5			−1.28609
$977$	−6759.66	−	9303.87i	−0.221352	−	0.304664i	0.683870	−	0.729604i	$-0.260295\pi$
$977$	−6759.66	−	9303.87i	−0.221352	−	0.304664i	−0.905222	+	0.424939i	$0.860295\pi$
$978$	−2465.50	−	801.090i	−0.0806115	−	0.0261923i
$979$	1867.57	−	5747.79i	0.0609681	−	0.187641i
$980$	27028.6	−	13268.4i	0.881017	−	0.432492i
$981$	13329.7	+	41024.5i	0.433826	+	1.33518i
$982$		−	3048.75i		−	0.0990727i
$983$	−21240.9	+	6901.59i	−0.689196	+	0.223933i	−0.632617	−	0.774465i	$-0.718019\pi$
$983$	−21240.9	+	6901.59i	−0.689196	+	0.223933i	−0.0565791	+	0.998398i	$0.518019\pi$
$984$	−2402.50	−	1745.52i	−0.0778342	−	0.0565499i
$985$	12495.0	+	25453.1i	0.404185	+	0.823354i
$986$	−3483.79	+	2531.12i	−0.112522	+	0.0817518i
$987$	−177.574	+	244.409i	−0.00572667	+	0.00788209i
$988$	12354.4	−	17004.4i	0.397819	−	0.547551i
$989$	39562.6	−	28743.9i	1.27201	−	0.924168i
$990$	611.326	−	3519.59i	0.0196255	−	0.112990i
$991$	−7907.42	−	5745.08i	−0.253469	−	0.184156i	0.453794	−	0.891107i	$-0.350070\pi$
$991$	−7907.42	−	5745.08i	−0.253469	−	0.184156i	−0.707263	+	0.706951i	$0.750070\pi$
$992$	4184.99	−	1359.79i	0.133945	−	0.0435214i
$993$			18857.4i			0.602639i
$994$	−12.6250	−	38.8557i	−0.000402858	−	0.00123987i
$995$	−8890.76	−	9159.68i	−0.283272	−	0.291841i
$996$	−9051.40	+	27857.4i	−0.287957	+	0.886239i
$997$	−27790.4	−	9029.65i	−0.882779	−	0.286832i	−0.167668	−	0.985843i	$-0.553624\pi$
$997$	−27790.4	−	9029.65i	−0.882779	−	0.286832i	−0.715111	+	0.699011i	$0.753624\pi$
$998$	−4230.66	−	5823.00i	−0.134187	−	0.184693i
$999$	15215.2			0.481869

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	25.4.e.a.14.4	yes	24
3.2	odd	2		225.4.m.a.64.3		24
5.2	odd	4		125.4.d.b.51.7		48
5.3	odd	4		125.4.d.b.51.6		48
5.4	even	2		125.4.e.a.74.3		24
25.3	odd	20		625.4.a.g.1.14		24
25.9	even	10	inner	25.4.e.a.9.4	✓	24
25.12	odd	20		125.4.d.b.76.7		48
25.13	odd	20		125.4.d.b.76.6		48
25.16	even	5		125.4.e.a.49.3		24
25.22	odd	20		625.4.a.g.1.11		24
75.59	odd	10		225.4.m.a.109.3		24

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
25.4.e.a.9.4	✓	24	25.9	even	10	inner
25.4.e.a.14.4	yes	24	1.1	even	1	trivial
125.4.d.b.51.6		48	5.3	odd	4
125.4.d.b.51.7		48	5.2	odd	4
125.4.d.b.76.6		48	25.13	odd	20
125.4.d.b.76.7		48	25.12	odd	20
125.4.e.a.49.3		24	25.16	even	5
125.4.e.a.74.3		24	5.4	even	2
225.4.m.a.64.3		24	3.2	odd	2
225.4.m.a.109.3		24	75.59	odd	10
625.4.a.g.1.11		24	25.22	odd	20
625.4.a.g.1.14		24	25.3	odd	20

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:	\( N \)	\(=\)	\( 25 = 5^{2} \)
Weight:	\( k \)	\(=\)	\( 4 \)
Character orbit:	\([\chi]\)	\(=\)	25.e (of order \(10\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.217515 - 0.299383i) q^{2} +(2.64413 + 0.859131i) q^{3} +(2.42982 - 7.47821i) q^{4} +(7.78705 + 8.02258i) q^{5} +(-0.317928 - 0.978483i) q^{6} -0.707538i q^{7} +(-5.58294 + 1.81401i) q^{8} +(-15.5901 - 11.3269i) q^{9} +O(q^{10})\)	\(q+(-0.217515 - 0.299383i) q^{2} +(2.64413 + 0.859131i) q^{3} +(2.42982 - 7.47821i) q^{4} +(7.78705 + 8.02258i) q^{5} +(-0.317928 - 0.978483i) q^{6} -0.707538i q^{7} +(-5.58294 + 1.81401i) q^{8} +(-15.5901 - 11.3269i) q^{9} +(0.708030 - 4.07634i) q^{10} +(-36.2482 + 26.3359i) q^{11} +(12.8495 - 17.6859i) q^{12} +(-28.2037 + 38.8191i) q^{13} +(-0.211825 + 0.153900i) q^{14} +(13.6975 + 27.9029i) q^{15} +(-49.1333 - 35.6974i) q^{16} +(95.0584 - 30.8863i) q^{17} +7.13119i q^{18} +(-17.2149 - 52.9822i) q^{19} +(78.9157 - 38.7398i) q^{20} +(0.607867 - 1.87082i) q^{21} +(15.7690 + 5.12367i) q^{22} +(68.7145 + 94.5774i) q^{23} -16.3205 q^{24} +(-3.72371 + 124.945i) q^{25} +17.7565 q^{26} +(-75.6135 - 104.073i) q^{27} +(-5.29112 - 1.71919i) q^{28} +(35.9768 - 110.725i) q^{29} +(5.37424 - 10.1701i) q^{30} +(-19.5832 - 60.2708i) q^{31} +69.4365i q^{32} +(-118.471 + 38.4936i) q^{33} +(-29.9234 - 21.7407i) q^{34} +(5.67628 - 5.50963i) q^{35} +(-122.586 + 89.0640i) q^{36} +(-69.5209 + 95.6873i) q^{37} +(-12.1175 + 16.6783i) q^{38} +(-107.925 + 78.4122i) q^{39} +(-58.0277 - 30.6639i) q^{40} +(147.207 + 106.952i) q^{41} +(-0.692314 + 0.224946i) q^{42} -418.309i q^{43} +(108.869 + 335.063i) q^{44} +(-30.5302 - 213.276i) q^{45} +(13.3685 - 41.1440i) q^{46} +(-146.063 - 47.4586i) q^{47} +(-99.2463 - 136.601i) q^{48} +342.499 q^{49} +(38.2163 - 26.0625i) q^{50} +277.882 q^{51} +(221.767 + 305.237i) q^{52} +(475.549 + 154.515i) q^{53} +(-14.7107 + 45.2749i) q^{54} +(-493.548 - 85.7256i) q^{55} +(1.28348 + 3.95014i) q^{56} -154.882i q^{57} +(-40.9747 + 13.3135i) q^{58} +(-74.8217 - 54.3611i) q^{59} +(241.946 - 34.6342i) q^{60} +(522.379 - 379.530i) q^{61} +(-13.7844 + 18.9727i) q^{62} +(-8.01420 + 11.0306i) q^{63} +(-372.278 + 270.476i) q^{64} +(-531.053 + 76.0195i) q^{65} +(37.2936 + 27.0954i) q^{66} +(-890.734 + 289.417i) q^{67} -785.915i q^{68} +(100.436 + 309.110i) q^{69} +(-2.88417 - 0.500958i) q^{70} +(-48.2183 + 148.401i) q^{71} +(107.586 + 34.9568i) q^{72} +(353.728 + 486.865i) q^{73} +43.7690 q^{74} +(-117.190 + 327.171i) q^{75} -438.041 q^{76} +(18.6336 + 25.6470i) q^{77} +(46.9506 + 15.2552i) q^{78} +(208.101 - 640.470i) q^{79} +(-96.2179 - 672.154i) q^{80} +(50.2624 + 154.692i) q^{81} -67.3351i q^{82} +(-1274.30 + 414.045i) q^{83} +(-12.5134 - 9.09152i) q^{84} +(988.012 + 522.100i) q^{85} +(-125.235 + 90.9883i) q^{86} +(190.255 - 261.863i) q^{87} +(154.598 - 212.786i) q^{88} +(-109.125 + 79.2838i) q^{89} +(-57.2106 + 55.5309i) q^{90} +(27.4660 + 19.9552i) q^{91} +(874.233 - 284.056i) q^{92} -176.188i q^{93} +(17.5625 + 54.0517i) q^{94} +(291.000 - 550.683i) q^{95} +(-59.6550 + 183.599i) q^{96} +(277.916 + 90.3005i) q^{97} +(-74.4987 - 102.539i) q^{98} +863.418 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 24 q - 5 q^{2} - 5 q^{3} + 13 q^{4} + 15 q^{5} - 7 q^{6} - 110 q^{8} + 47 q^{9}+O(q^{10}) \) 24 * q - 5 * q^2 - 5 * q^3 + 13 * q^4 + 15 * q^5 - 7 * q^6 - 110 * q^8 + 47 * q^9	\( 24 q - 5 q^{2} - 5 q^{3} + 13 q^{4} + 15 q^{5} - 7 q^{6} - 110 q^{8} + 47 q^{9} - 5 q^{10} + 83 q^{11} - 165 q^{12} - 5 q^{13} + 31 q^{14} - 225 q^{15} + 89 q^{16} - 165 q^{17} - 115 q^{19} + 395 q^{20} + 138 q^{21} + 30 q^{22} + 75 q^{23} + 640 q^{24} + 595 q^{25} - 822 q^{26} + 595 q^{27} + 675 q^{28} + 125 q^{29} - 965 q^{30} + 633 q^{31} - 1285 q^{33} - 779 q^{34} + 190 q^{35} - 531 q^{36} - 1510 q^{37} + 255 q^{38} - 1241 q^{39} - 2470 q^{40} - 117 q^{41} + 1745 q^{42} + 516 q^{44} + 1725 q^{45} + 1233 q^{46} - 95 q^{47} + 1410 q^{48} + 1148 q^{49} + 2165 q^{50} - 2022 q^{51} + 1740 q^{52} + 2580 q^{53} + 1745 q^{54} - 315 q^{55} + 3160 q^{56} - 4230 q^{58} - 1905 q^{59} + 560 q^{60} - 567 q^{61} - 6880 q^{62} - 1950 q^{63} - 3612 q^{64} - 3170 q^{65} - 2774 q^{66} + 4195 q^{67} + 539 q^{69} + 3630 q^{70} + 2473 q^{71} + 215 q^{72} - 845 q^{73} + 3596 q^{74} + 2045 q^{75} - 3280 q^{76} + 3870 q^{77} + 9295 q^{78} + 775 q^{79} - 3670 q^{80} + 3309 q^{81} - 4625 q^{83} - 5694 q^{84} - 1460 q^{85} - 3897 q^{86} - 8485 q^{87} - 1650 q^{88} - 2410 q^{89} - 8845 q^{90} - 382 q^{91} + 4090 q^{92} + 5401 q^{94} + 3545 q^{95} + 6488 q^{96} + 5185 q^{97} + 5180 q^{98} + 6024 q^{99}+O(q^{100}) \) 24 * q - 5 * q^2 - 5 * q^3 + 13 * q^4 + 15 * q^5 - 7 * q^6 - 110 * q^8 + 47 * q^9 - 5 * q^10 + 83 * q^11 - 165 * q^12 - 5 * q^13 + 31 * q^14 - 225 * q^15 + 89 * q^16 - 165 * q^17 - 115 * q^19 + 395 * q^20 + 138 * q^21 + 30 * q^22 + 75 * q^23 + 640 * q^24 + 595 * q^25 - 822 * q^26 + 595 * q^27 + 675 * q^28 + 125 * q^29 - 965 * q^30 + 633 * q^31 - 1285 * q^33 - 779 * q^34 + 190 * q^35 - 531 * q^36 - 1510 * q^37 + 255 * q^38 - 1241 * q^39 - 2470 * q^40 - 117 * q^41 + 1745 * q^42 + 516 * q^44 + 1725 * q^45 + 1233 * q^46 - 95 * q^47 + 1410 * q^48 + 1148 * q^49 + 2165 * q^50 - 2022 * q^51 + 1740 * q^52 + 2580 * q^53 + 1745 * q^54 - 315 * q^55 + 3160 * q^56 - 4230 * q^58 - 1905 * q^59 + 560 * q^60 - 567 * q^61 - 6880 * q^62 - 1950 * q^63 - 3612 * q^64 - 3170 * q^65 - 2774 * q^66 + 4195 * q^67 + 539 * q^69 + 3630 * q^70 + 2473 * q^71 + 215 * q^72 - 845 * q^73 + 3596 * q^74 + 2045 * q^75 - 3280 * q^76 + 3870 * q^77 + 9295 * q^78 + 775 * q^79 - 3670 * q^80 + 3309 * q^81 - 4625 * q^83 - 5694 * q^84 - 1460 * q^85 - 3897 * q^86 - 8485 * q^87 - 1650 * q^88 - 2410 * q^89 - 8845 * q^90 - 382 * q^91 + 4090 * q^92 + 5401 * q^94 + 3545 * q^95 + 6488 * q^96 + 5185 * q^97 + 5180 * q^98 + 6024 * q^99

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