LMFDB - Embedded newform 25.4.e.a.9.4

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			9.4
Character	$\chi$	$=$	25.9
Dual form			25.4.e.a.14.4

$q$-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 $\left(\mathbb{Z}/25\mathbb{Z}\right)^\times$.

$n$	$2$
$\chi(n)$	$e\left(\frac{7}{10}\right)$

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	−0.845736	−	0.533602i	$-0.820838\pi$
$2$	−0.217515	+	0.299383i	−0.0769031	+	0.105848i	0.768833	+	0.639450i	$0.220838\pi$
$3$	2.64413	−	0.859131i	0.508864	−	0.165340i	−0.0433217	−	0.999061i	$-0.513794\pi$
$3$	2.64413	−	0.859131i	0.508864	−	0.165340i	0.552185	+	0.833721i	$0.313794\pi$
$4$	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	$0.00608064\pi$
$7$			0.707538i			0.0382034i	−0.999818	+	0.0191017i	$0.993919\pi$
$8$	−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	−0.0328685	−	0.999460i	$-0.510464\pi$
$11$	−36.2482	−	26.3359i	−0.993568	−	0.721869i	−0.960700	+	0.277590i	$0.910464\pi$
$12$	12.8495	+	17.6859i	0.309112	+	0.425456i
$13$	−28.2037	−	38.8191i	−0.601716	−	0.828191i	0.394148	−	0.919047i	$-0.371040\pi$
$13$	−28.2037	−	38.8191i	−0.601716	−	0.828191i	−0.995864	+	0.0908561i	$0.971040\pi$
$14$	−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	0.894766	−	0.446536i	$-0.147343\pi$
$17$	95.0584	+	30.8863i	1.35618	+	0.440649i	0.461413	+	0.887185i	$0.347343\pi$
$18$		−	7.13119i		−	0.0933798i
$19$	−17.2149	+	52.9822i	−0.207862	+	0.639734i	0.791722	+	0.610882i	$0.209185\pi$
$19$	−17.2149	+	52.9822i	−0.207862	+	0.639734i	−0.999584	+	0.0288516i	$0.990815\pi$
$20$	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	−0.374609	−	0.927183i	$-0.622223\pi$
$23$	68.7145	−	94.5774i	0.622955	−	0.857424i	0.997564	+	0.0697590i	$0.0222230\pi$
$24$	−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	0.997702	+	0.0677551i	$0.0215837\pi$
$29$	35.9768	+	110.725i	0.230370	+	0.709005i	−0.767332	+	0.641250i	$0.778416\pi$
$30$	5.37424	+	10.1701i	0.0327066	+	0.0618933i
$31$	−19.5832	+	60.2708i	−0.113459	+	0.349192i	−0.991623	−	0.129169i	$-0.958769\pi$
$31$	−19.5832	+	60.2708i	−0.113459	+	0.349192i	0.878163	+	0.478361i	$0.158769\pi$
$32$		−	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	0.626140	−	0.779710i	$-0.284634\pi$
$37$	−69.5209	−	95.6873i	−0.308896	−	0.425159i	−0.935037	+	0.354551i	$0.884634\pi$
$38$	−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	−0.270996	−	0.962580i	$-0.587353\pi$
$41$	147.207	−	106.952i	0.560730	−	0.407394i	0.831726	+	0.555187i	$0.187353\pi$
$42$	−0.692314	−	0.224946i	−0.00254348	−	0.000826428i
$43$			418.309i			1.48352i	0.670664	+	0.741762i	$0.266009\pi$
$43$			418.309i			1.48352i	−0.670664	+	0.741762i	$0.733991\pi$
$44$	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	−0.526767	−	0.850010i	$-0.676596\pi$
$47$	−146.063	+	47.4586i	−0.453307	+	0.147288i	0.0734598	+	0.997298i	$0.476596\pi$
$48$	−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	0.380871	−	0.924628i	$-0.375624\pi$
$53$	475.549	−	154.515i	1.23248	−	0.400458i	0.851614	+	0.524170i	$0.175624\pi$
$54$	−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	−0.667268	−	0.744818i	$-0.732536\pi$
$59$	−74.8217	+	54.3611i	−0.165101	+	0.119953i	0.502167	+	0.864771i	$0.332536\pi$
$60$	241.946	+	34.6342i	0.520585	+	0.0745210i
$61$	522.379	+	379.530i	1.09646	+	0.796621i	0.980478	−	0.196631i	$-0.0630000\pi$
$61$	522.379	+	379.530i	1.09646	+	0.796621i	0.115977	+	0.993252i	$0.463000\pi$
$62$	−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	−0.651262	−	0.758853i	$-0.725760\pi$
$67$	−890.734	−	289.417i	−1.62419	−	0.527730i	−0.972925	+	0.231123i	$0.925760\pi$
$68$			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	0.902636	−	0.430406i	$-0.141629\pi$
$71$	−48.2183	−	148.401i	−0.0805980	−	0.248055i	−0.983234	+	0.182350i	$0.941629\pi$
$72$	107.586	−	34.9568i	0.176099	−	0.0572180i
$73$	353.728	−	486.865i	0.567134	−	0.780592i	−0.425078	−	0.905157i	$-0.639753\pi$
$73$	353.728	−	486.865i	0.567134	−	0.780592i	0.992212	+	0.124564i	$0.0397533\pi$
$74$	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	0.982758	+	0.184897i	$0.0591953\pi$
$79$	208.101	+	640.470i	0.296370	+	0.912133i	−0.686388	+	0.727236i	$0.740805\pi$
$80$	−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	−0.699300	−	0.714828i	$-0.746505\pi$
$83$	−1274.30	−	414.045i	−1.68521	−	0.547558i	−0.985911	+	0.167270i	$0.946505\pi$
$84$	−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	0.520902	−	0.853617i	$-0.325596\pi$
$89$	−109.125	−	79.2838i	−0.129969	−	0.0944277i	−0.650870	+	0.759189i	$0.725596\pi$
$90$	−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	−0.159927	−	0.987129i	$-0.551126\pi$
$97$	277.916	−	90.3005i	0.290908	−	0.0945219i	0.450836	+	0.892607i	$0.351126\pi$
$98$	−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	0.650507	−	0.759500i	$-0.274556\pi$
$103$	1696.79	−	551.321i	1.62320	−	0.527410i	0.972694	+	0.232090i	$0.0745563\pi$
$104$	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	$0.0688427\pi$
$107$			475.032i			0.429187i	−0.976703	+	0.214594i	$0.931157\pi$
$108$	−962.008	−	312.575i	−0.857123	−	0.278496i
$109$	−1810.93	+	1315.72i	−1.59134	+	1.15618i	−0.689340	+	0.724438i	$0.742099\pi$
$109$	−1810.93	+	1315.72i	−1.59134	+	1.15618i	−0.901999	+	0.431737i	$0.857901\pi$
$110$	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	−0.981192	−	0.193033i	$-0.938167\pi$
$113$	−1034.93	−	1424.45i	−0.861573	−	1.18585i	0.119619	−	0.992820i	$-0.461833\pi$
$114$	−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	−0.966387	−	0.257093i	$-0.917235\pi$
$127$	−605.759	+	833.755i	−0.423247	+	0.582550i	0.543140	+	0.839642i	$0.317235\pi$
$128$	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	−0.845016	−	0.534741i	$-0.820409\pi$
$131$	229.296	−	705.702i	0.152929	−	0.470668i	0.997945	+	0.0640733i	$0.0204092\pi$
$132$		−	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	0.877260	−	0.480016i	$-0.159369\pi$
$137$	239.970	+	330.290i	0.149650	+	0.205975i	−0.727610	+	0.685991i	$0.759369\pi$
$138$	70.6961	+	97.3048i	0.0436091	+	0.0600227i
$139$	−1065.62	−	774.218i	−0.650249	−	0.472434i	0.213107	−	0.977029i	$-0.431642\pi$
$139$	−1065.62	−	774.218i	−0.650249	−	0.472434i	−0.863356	+	0.504595i	$0.831642\pi$
$140$	−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	$-0.907655\pi$
$157$		−	1125.47i		−	0.572115i	0.958212	−	0.286057i	$-0.0923448\pi$
$158$	−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	0.999759	+	0.0219445i	$0.00698572\pi$
$163$	1481.05	+	2038.49i	0.711687	+	0.979553i	−0.288072	+	0.957609i	$0.593014\pi$
$164$	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	0.0309824	−	0.999520i	$-0.490136\pi$
$167$	−1146.94	−	372.664i	−0.531455	−	0.172680i	−0.562438	+	0.826840i	$0.690136\pi$
$168$		−	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	−0.932389	−	0.361457i	$-0.882279\pi$
$173$	−683.773	+	941.133i	−0.300499	+	0.413601i	0.631890	+	0.775058i	$0.282279\pi$
$174$	−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	−0.660887	−	0.750485i	$-0.729820\pi$
$179$	−1358.70	−	4181.66i	−0.567342	−	1.74610i	0.0935445	−	0.995615i	$-0.470180\pi$
$180$	−1669.11	+	289.911i	−0.691155	+	0.120048i
$181$	−1001.68	+	3082.85i	−0.411349	+	1.26600i	0.504127	+	0.863629i	$0.331814\pi$
$181$	−1001.68	+	3082.85i	−0.411349	+	1.26600i	−0.915476	+	0.402372i	$0.868186\pi$
$182$			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	0.0165964	−	0.999862i	$-0.494717\pi$
$191$	2567.48	−	1865.38i	0.972651	−	0.706672i	0.956054	+	0.293190i	$0.0947170\pi$
$192$	−1216.73	−	395.339i	−0.457343	−	0.148600i
$193$		−	510.627i		−	0.190444i	−0.995456	−	0.0952221i	$-0.969644\pi$
$193$		−	510.627i		−	0.190444i	0.995456	−	0.0952221i	$-0.0303561\pi$
$194$	−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	0.161555	−	0.986864i	$-0.448349\pi$
$197$	2411.99	−	783.702i	0.872320	−	0.283434i	0.710765	+	0.703430i	$0.248349\pi$
$198$	−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	0.838455	−	0.544971i	$-0.183460\pi$
$211$	1775.38	+	1289.89i	0.579253	+	0.420852i	−0.259202	+	0.965823i	$0.583460\pi$
$212$	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	−0.913464	−	0.406919i	$-0.866603\pi$
$223$	−813.160	+	1119.22i	−0.244185	+	0.336091i	0.669279	+	0.743011i	$0.266603\pi$
$224$	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	−0.546870	−	0.837218i	$-0.684181\pi$
$227$	1430.84	−	1969.39i	0.418363	−	0.575828i	0.965233	+	0.261390i	$0.0841808\pi$
$228$	−1158.24	+	376.335i	−0.336431	+	0.109313i
$229$	4.94881	+	15.2309i	0.00142806	+	0.00439513i	0.951768	−	0.306819i	$-0.0992645\pi$
$229$	4.94881	+	15.2309i	0.00142806	+	0.00439513i	−0.950340	+	0.311214i	$0.899264\pi$
$230$	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	0.306240	−	0.951954i	$-0.400929\pi$
$233$	−19.7407	−	6.41415i	−0.00555046	−	0.00180345i	−0.311791	+	0.950151i	$0.600929\pi$
$234$	−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	0.791213	−	0.611541i	$-0.209450\pi$
$239$	1677.84	+	1219.02i	0.454102	+	0.329924i	−0.337111	+	0.941465i	$0.609450\pi$
$240$	323.055	+	1859.93i	0.0868881	+	0.500241i
$241$	−3412.98	+	2479.68i	−0.912239	+	0.662780i	−0.941580	−	0.336789i	$-0.890659\pi$
$241$	−3412.98	+	2479.68i	−0.912239	+	0.662780i	0.0293412	+	0.999569i	$0.490659\pi$
$242$	−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	$0.133649\pi$
$257$			3358.99i			0.815283i	−0.913142	+	0.407642i	$0.866351\pi$
$258$	−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	0.854703	−	0.519118i	$-0.173739\pi$
$263$	413.184	+	568.699i	0.0968747	+	0.133337i	−0.757828	+	0.652454i	$0.773739\pi$
$264$	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	0.306516	+	0.951866i	$0.400837\pi$
$269$	−2210.17	+	6802.20i	−0.500953	+	1.54178i	−0.807469	+	0.589910i	$0.799163\pi$
$270$	−477.774	−	234.540i	−0.107690	−	0.0528653i
$271$	637.671	+	1962.55i	0.142936	+	0.439913i	0.996740	−	0.0806827i	$-0.0257100\pi$
$271$	637.671	+	1962.55i	0.142936	+	0.439913i	−0.853804	+	0.520595i	$0.825710\pi$
$272$	−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	−0.776158	−	0.630538i	$-0.782834\pi$
$277$	292.127	−	402.078i	0.0633654	−	0.0872150i	0.839524	+	0.543323i	$0.182834\pi$
$278$	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	−0.999993	−	0.00373539i	$-0.998811\pi$
$281$	−889.261	+	2736.87i	−0.188786	+	0.581024i	0.811207	+	0.584759i	$0.198811\pi$
$282$		−	158.008i		−	0.0333662i
$283$	4728.57	+	1536.40i	0.993230	+	0.322720i	0.760157	−	0.649739i	$-0.225122\pi$
$283$	4728.57	+	1536.40i	0.993230	+	0.322720i	0.233073	+	0.972459i	$0.425122\pi$
$284$	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	$-0.800675\pi$
$293$		−	5878.67i		−	1.17214i	0.810262	−	0.586068i	$-0.199325\pi$
$294$	−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	$0.0248029\pi$
$307$			837.434i			0.155684i	−0.996966	+	0.0778419i	$0.975197\pi$
$308$	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	0.768554	−	0.639785i	$-0.220977\pi$
$311$	2180.53	+	1584.25i	0.397578	+	0.288857i	−0.370976	+	0.928642i	$0.620977\pi$
$312$	460.299	+	633.548i	0.0835235	+	0.114960i
$313$	1259.58	+	1733.66i	0.227462	+	0.313075i	0.907459	−	0.420140i	$-0.138019\pi$
$313$	1259.58	+	1733.66i	0.227462	+	0.313075i	−0.679997	+	0.733215i	$0.738019\pi$
$314$	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	0.523280	−	0.852161i	$-0.324708\pi$
$317$	2515.73	+	817.411i	0.445734	+	0.144828i	−0.0775456	+	0.996989i	$0.524708\pi$
$318$			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	−0.611877	−	0.790953i	$-0.709585\pi$
$331$	2095.98	−	6450.75i	0.348052	−	1.07119i	0.959930	−	0.280242i	$-0.0904146\pi$
$332$		−	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	0.310984	−	0.950415i	$-0.399341\pi$
$337$	−4262.58	−	5866.94i	−0.689014	−	0.948346i	−0.999998	+	0.00206907i	$0.999341\pi$
$338$	−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	−0.805776	−	0.592221i	$-0.798251\pi$
$347$	−7172.10	+	2330.36i	−1.10956	+	0.360519i	−0.303787	+	0.952740i	$0.598251\pi$
$348$	−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	−0.436083	−	0.899906i	$-0.643635\pi$
$353$	−1723.93	+	560.138i	−0.259930	+	0.0844564i	0.176153	+	0.984363i	$0.443635\pi$
$354$	−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	−0.607862	−	0.794042i	$-0.707973\pi$
$359$	−275.639	+	200.264i	−0.0405228	+	0.0294416i	0.567339	+	0.823484i	$0.307973\pi$
$360$	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	−0.0563042	−	0.998414i	$-0.517932\pi$
$367$	−4842.11	−	1573.30i	−0.688708	−	0.223775i	−0.632404	+	0.774639i	$0.717932\pi$
$368$			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	−0.767102	−	0.641526i	$-0.778302\pi$
$373$	576.832	−	793.942i	0.0800730	−	0.110211i	0.847175	+	0.531315i	$0.178302\pi$
$374$	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	0.876054	−	0.482213i	$-0.160167\pi$
$379$	−856.818	−	2637.01i	−0.116126	−	0.357399i	−0.992180	+	0.124814i	$0.960167\pi$
$380$	−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	0.735486	−	0.677540i	$-0.236954\pi$
$383$	6987.70	+	2270.44i	0.932258	+	0.302909i	0.196772	+	0.980449i	$0.436954\pi$
$384$	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	0.840665	−	0.541556i	$-0.182164\pi$
$389$	4491.31	+	3263.13i	0.585395	+	0.425314i	−0.255270	+	0.966870i	$0.582164\pi$
$390$	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	0.0870061	−	0.996208i	$-0.472270\pi$
$397$	5876.87	−	1909.51i	0.742952	−	0.241400i	0.655946	+	0.754808i	$0.272270\pi$
$398$	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	−0.502569	−	0.864537i	$-0.667612\pi$
$409$	1359.44	−	987.692i	0.164352	−	0.119409i	0.666921	+	0.745128i	$0.267612\pi$
$410$	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	−0.890657	−	0.454677i	$-0.849755\pi$
$419$	833.246	−	2564.47i	0.0971521	−	0.299003i	0.987809	+	0.155673i	$0.0497548\pi$
$420$	−24.5050	+	171.186i	−0.00284696	+	0.0198881i
$421$	−2921.58	−	8991.69i	−0.338216	−	1.04092i	−0.965116	−	0.261822i	$-0.915677\pi$
$421$	−2921.58	−	8991.69i	−0.338216	−	1.04092i	0.626900	−	0.779100i	$-0.284323\pi$
$422$	−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	0.524597	+	0.851350i	$0.324216\pi$
$431$	−3581.10	+	11021.5i	−0.400222	+	1.23176i	−0.924819	+	0.380406i	$0.875784\pi$
$432$		−	7812.67i		−	0.870109i
$433$	−14324.0	−	4654.15i	−1.58976	−	0.516545i	−0.625214	−	0.780453i	$-0.714988\pi$
$433$	−14324.0	−	4654.15i	−1.58976	−	0.516545i	−0.964548	+	0.263908i	$0.914988\pi$
$434$	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	0.455158	−	0.890411i	$-0.349583\pi$
$439$	−2308.91	−	1677.52i	−0.251021	−	0.182377i	−0.706179	+	0.708033i	$0.749583\pi$
$440$	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	$-0.968526\pi$
$443$		−	1840.90i		−	0.197435i	0.995115	−	0.0987175i	$-0.0314740\pi$
$444$	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	$0.384898\pi$
$457$			18275.5i			1.87066i	−0.353774	+	0.935331i	$0.615102\pi$
$458$	−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	0.880647	−	0.473773i	$-0.157108\pi$
$461$	6950.41	+	5049.77i	0.702197	+	0.510176i	−0.178450	+	0.983949i	$0.557108\pi$
$462$	19.1710	+	26.3866i	0.00193055	+	0.00265718i
$463$	−8876.77	−	12217.8i	−0.891012	−	1.22637i	−0.973247	−	0.229759i	$-0.926206\pi$
$463$	−8876.77	−	12217.8i	−0.891012	−	1.22637i	0.0822358	−	0.996613i	$-0.473794\pi$
$464$	−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	0.0920531	−	0.995754i	$-0.470657\pi$
$467$	−4226.15	−	1373.16i	−0.418764	−	0.136065i	−0.510817	+	0.859689i	$0.670657\pi$
$468$			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	0.690805	+	0.723041i	$0.257256\pi$
$479$	5838.48	+	17969.0i	0.556925	+	1.71404i	−0.133880	+	0.990998i	$0.542744\pi$
$480$	−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	0.737179	−	0.675698i	$-0.236158\pi$
$487$	−1432.05	−	1971.04i	−0.133249	−	0.183401i	−0.870428	+	0.492296i	$0.836158\pi$
$488$	−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	−0.237720	−	0.971334i	$-0.576400\pi$
$491$	6665.13	−	4842.50i	0.612614	−	0.445090i	0.850334	+	0.526244i	$0.176400\pi$
$492$	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	0.453312	−	0.891352i	$-0.350242\pi$
$503$	15161.5	−	4926.27i	1.34397	−	0.436683i	0.890661	+	0.454669i	$0.150242\pi$
$504$	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	−0.991796	−	0.127835i	$-0.959197\pi$
$509$	−13512.7	+	9817.55i	−1.17670	+	0.854922i	−0.184904	+	0.982757i	$0.559197\pi$
$510$	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	0.908597	−	0.417675i	$-0.137155\pi$
$521$	−855.949	−	2634.34i	−0.0719766	−	0.221521i	−0.980573	+	0.196154i	$0.937155\pi$
$522$	789.602	−	256.557i	0.0662067	−	0.0215119i
$523$	−6718.99	+	9247.90i	−0.561761	+	0.773198i	−0.991549	−	0.129732i	$-0.958588\pi$
$523$	−6718.99	+	9247.90i	−0.561761	+	0.773198i	0.429788	+	0.902930i	$0.358588\pi$
$524$	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	−0.593004	−	0.805199i	$-0.702058\pi$
$541$	−131.657	+	95.6542i	−0.0104628	+	0.00760165i	0.582542	+	0.812801i	$0.302058\pi$
$542$	−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	0.156963	−	0.987604i	$-0.449830\pi$
$547$	11059.1	−	3593.32i	0.864448	−	0.280876i	0.707485	+	0.706728i	$0.249830\pi$
$548$	−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	$-0.834504\pi$
$557$		−	13061.9i		−	0.993624i	0.867858	−	0.496812i	$-0.165496\pi$
$558$	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	0.999889	−	0.0148785i	$-0.00473615\pi$
$563$	9040.55	+	12443.2i	0.676756	+	0.931475i	−0.323133	+	0.946354i	$0.604736\pi$
$564$	−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	−0.644110	−	0.764933i	$-0.722772\pi$
$569$	4432.90	−	13643.1i	0.326602	−	1.00518i	0.970712	−	0.240246i	$-0.0772280\pi$
$570$	−631.351	+	109.661i	−0.0463937	+	0.00805823i
$571$	3941.24	+	12129.9i	0.288854	+	0.889001i	0.985217	+	0.171311i	$0.0548004\pi$
$571$	3941.24	+	12129.9i	0.288854	+	0.889001i	−0.696363	+	0.717690i	$0.745200\pi$
$572$	−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	−0.847655	−	0.530548i	$-0.821986\pi$
$577$	−1124.51	+	1547.76i	−0.0811335	+	0.111671i	0.766521	+	0.642219i	$0.221986\pi$
$578$	−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	0.979771	−	0.200122i	$-0.0641337\pi$
$587$	6921.48	+	9526.60i	0.486678	+	0.669855i	−0.493093	+	0.869977i	$0.664134\pi$
$588$	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	$0.141629\pi$
$593$			12430.5i			0.860809i	−0.902636	+	0.430405i	$0.858371\pi$
$594$	−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	$-0.879723\pi$
$607$		−	11034.8i		−	0.737869i	0.929455	−	0.368935i	$-0.120277\pi$
$608$	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	0.973521	−	0.228596i	$-0.0734135\pi$
$613$	6909.85	+	9510.59i	0.455279	+	0.626638i	−0.518242	+	0.855234i	$0.673413\pi$
$614$	−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	−0.165570	−	0.986198i	$-0.552946\pi$
$617$	−13474.5	−	4378.12i	−0.879192	−	0.285667i	−0.713622	+	0.700531i	$0.752946\pi$
$618$			1835.56i			0.119478i
$619$	4959.92	−	15265.1i	0.322061	−	0.991202i	−0.650689	−	0.759345i	$-0.725520\pi$
$619$	4959.92	−	15265.1i	0.322061	−	0.991202i	0.972750	−	0.231858i	$-0.0744804\pi$
$620$	−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	−0.399714	−	0.916640i	$-0.630890\pi$
$631$	7330.07	−	22559.6i	0.462449	−	1.42327i	0.862163	−	0.506632i	$-0.169110\pi$
$632$		−	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	−0.609007	−	0.793165i	$-0.708432\pi$
$641$	−695.498	+	505.309i	−0.0428557	+	0.0311365i	0.566151	+	0.824301i	$0.308432\pi$
$642$	−464.811	−	151.026i	−0.0285742	−	0.00928431i
$643$			19651.3i			1.20525i	0.798026	+	0.602623i	$0.205878\pi$
$643$			19651.3i			1.20525i	−0.798026	+	0.602623i	$0.794122\pi$
$644$	−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	−0.706287	−	0.707926i	$-0.749631\pi$
$647$	−14179.1	+	4607.08i	−0.861576	+	0.279943i	−0.155289	+	0.987869i	$0.549631\pi$
$648$	−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	−0.696896	−	0.717172i	$-0.745436\pi$
$653$	−14002.7	+	4549.75i	−0.839154	+	0.272658i	−0.142258	+	0.989830i	$0.545436\pi$
$654$	−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	−0.909126	−	0.416521i	$-0.863249\pi$
$659$	−13431.0	+	9758.20i	−0.793927	+	0.576821i	0.115199	+	0.993342i	$0.463249\pi$
$660$	−7858.00	−	7627.29i	−0.463442	−	0.449836i
$661$	4102.71	+	2980.79i	0.241417	+	0.175400i	0.701915	−	0.712261i	$-0.252329\pi$
$661$	4102.71	+	2980.79i	0.241417	+	0.175400i	−0.460497	+	0.887661i	$0.652329\pi$
$662$	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	−0.968279	−	0.249872i	$-0.919611\pi$
$673$	−7532.25	+	10367.2i	−0.431422	+	0.593801i	0.536857	+	0.843673i	$0.319611\pi$
$674$	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	−0.332981	−	0.942934i	$-0.608054\pi$
$677$	11743.9	−	16164.1i	0.666699	−	0.917633i	0.999680	+	0.0253011i	$0.00805445\pi$
$678$	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	0.0970406	−	0.995280i	$-0.469062\pi$
$683$	−7308.79	−	2374.77i	−0.409463	−	0.133043i	−0.506504	+	0.862238i	$0.669062\pi$
$684$	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	−0.466533	+	0.884504i	$0.654497\pi$
$691$	−26372.9	+	19161.0i	−1.45191	+	1.05488i	−0.985380	+	0.170372i	$0.945503\pi$
$692$	−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	−0.190536	−	0.981680i	$-0.561022\pi$
$709$	12917.1	−	9384.81i	0.684219	−	0.497114i	0.874755	+	0.484566i	$0.161022\pi$
$710$	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	0.763309	+	0.646034i	$0.223573\pi$
$719$	−4510.42	+	13881.6i	−0.233950	+	0.720024i	−0.997259	+	0.0739906i	$0.976427\pi$
$720$	−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	−0.885499	−	0.464642i	$-0.846183\pi$
$727$	−3331.64	+	4585.61i	−0.169964	+	0.233935i	0.715535	+	0.698577i	$0.246183\pi$
$728$	−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	0.846529	−	0.532342i	$-0.178688\pi$
$733$	24181.1	+	7856.90i	1.21848	+	0.395909i	0.371953	+	0.928251i	$0.378688\pi$
$734$	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	0.732436	−	0.680836i	$-0.238383\pi$
$739$	6252.99	+	4543.06i	0.311258	+	0.226142i	−0.421178	+	0.906978i	$0.638383\pi$
$740$	−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	$-0.742605\pi$
$743$		−	29299.2i		−	1.44668i	0.690491	−	0.723341i	$-0.257395\pi$
$744$	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	$-0.987873\pi$
$757$		−	1586.56i		−	0.0761752i	0.999274	−	0.0380876i	$-0.0121266\pi$
$758$	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	0.605895	−	0.795544i	$-0.292815\pi$
$761$	766.665	+	557.014i	0.0365198	+	0.0265332i	−0.569376	+	0.822077i	$0.692815\pi$
$762$	−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	0.393553	+	0.919302i	$0.371246\pi$
$769$	−9920.19	+	30531.2i	−0.465190	+	1.43171i	−0.858743	+	0.512406i	$0.828754\pi$
$770$	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	−0.584860	−	0.811134i	$-0.698851\pi$
$773$	7894.01	−	10865.2i	0.367306	−	0.505554i	0.952166	+	0.305581i	$0.0988506\pi$
$774$	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	0.700413	−	0.713738i	$-0.252999\pi$
$787$	−4301.51	−	5920.53i	−0.194832	−	0.268163i	−0.895245	+	0.445575i	$0.852999\pi$
$788$	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	−0.809401	−	0.587256i	$-0.800208\pi$
$797$	−25178.7	+	8181.05i	−1.11904	+	0.363598i	−0.309639	+	0.950854i	$0.600208\pi$
$798$	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	0.0782885	−	0.996931i	$-0.475054\pi$
$809$	24175.1	−	17564.2i	1.05062	−	0.763319i	0.972330	+	0.233612i	$0.0750545\pi$
$810$	666.164	+	95.3604i	0.0288971	+	0.00413657i
$811$	−22050.0	−	16020.3i	−0.954725	−	0.693648i	−0.00280520	−	0.999996i	$-0.500893\pi$
$811$	−22050.0	−	16020.3i	−0.954725	−	0.693648i	−0.951920	+	0.306348i	$0.900893\pi$
$812$	−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	−0.903158	−	0.429308i	$-0.858757\pi$
$821$	−9993.76	−	30757.6i	−0.424829	−	1.30749i	0.478329	−	0.878181i	$-0.341243\pi$
$822$	−399.476	+	129.798i	−0.0169505	+	0.00550756i
$823$	−9516.98	+	13099.0i	−0.403088	+	0.554802i	−0.961516	−	0.274751i	$-0.911405\pi$
$823$	−9516.98	+	13099.0i	−0.403088	+	0.554802i	0.558428	+	0.829553i	$0.311405\pi$
$824$	−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	−0.135401	−	0.990791i	$-0.543232\pi$
$827$	20185.2	−	27782.5i	0.848738	−	1.16819i	0.984139	−	0.177397i	$-0.0567677\pi$
$828$	−16846.9	+	5473.88i	−0.707089	+	0.229747i
$829$	−8241.72	−	25365.4i	−0.345292	−	1.06270i	−0.961428	−	0.275058i	$-0.911303\pi$
$829$	−8241.72	−	25365.4i	−0.345292	−	1.06270i	0.616136	−	0.787640i	$-0.288697\pi$
$830$	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	0.865037	−	0.501707i	$-0.167295\pi$
$839$	15922.6	+	11568.5i	0.655197	+	0.476028i	−0.209841	+	0.977736i	$0.567295\pi$
$840$	−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	−0.490948	−	0.871189i	$-0.663350\pi$
$853$	−9368.78	+	3044.10i	−0.376062	+	0.122190i	0.114886	+	0.993379i	$0.463350\pi$
$854$	−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	$-0.724813\pi$
$857$		−	38173.7i		−	1.52157i	0.649002	−	0.760787i	$-0.275187\pi$
$858$	−2103.63	−	683.512i	−0.0837027	−	0.0271966i
$859$	−4502.55	+	3271.29i	−0.178842	+	0.129936i	−0.673605	−	0.739092i	$-0.735255\pi$
$859$	−4502.55	+	3271.29i	−0.178842	+	0.129936i	0.494763	+	0.869028i	$0.335255\pi$
$860$	−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	−0.936522	−	0.350609i	$-0.885975\pi$
$863$	−24859.6	−	34216.4i	−0.980570	−	1.34964i	−0.0440481	−	0.999029i	$-0.514025\pi$
$864$	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	0.136746	+	0.990606i	$0.456336\pi$
$877$	−22014.4	+	30300.3i	−0.847634	+	1.16667i	−0.984379	+	0.176061i	$0.943664\pi$
$878$	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	−0.544175	−	0.838972i	$-0.683157\pi$
$881$	10177.6	−	31323.4i	0.389207	−	1.19786i	0.933382	−	0.358884i	$-0.116843\pi$
$882$		−	2442.43i		−	0.0932436i
$883$	42902.9	+	13940.0i	1.63510	+	0.531277i	0.975437	−	0.220280i	$-0.0706973\pi$
$883$	42902.9	+	13940.0i	1.63510	+	0.531277i	0.659667	+	0.751558i	$0.270697\pi$
$884$	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	0.973073	−	0.230498i	$-0.0740356\pi$
$887$	11971.2	+	16476.9i	0.453160	+	0.623721i	−0.519913	+	0.854219i	$0.674036\pi$
$888$	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	$-0.730672\pi$
$907$		−	40903.2i		−	1.49743i	0.662893	−	0.748714i	$-0.269328\pi$
$908$	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	0.750072	−	0.661356i	$-0.230019\pi$
$911$	9702.67	+	7049.40i	0.352869	+	0.256374i	−0.397202	+	0.917731i	$0.630019\pi$
$912$	−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	−0.959318	−	0.282328i	$-0.908893\pi$
$919$	−481.004	+	1480.38i	−0.0172654	+	0.0531373i	0.942053	+	0.335465i	$0.108893\pi$
$920$	−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	−0.998969	−	0.0453993i	$-0.985544\pi$
$929$	−6157.79	−	18951.7i	−0.217471	−	0.669307i	0.781498	−	0.623908i	$-0.214456\pi$
$930$	−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	−0.982578	−	0.185849i	$-0.940496\pi$
$937$	−24543.1	−	33780.7i	−0.855698	−	1.17777i	0.126880	−	0.991918i	$-0.459504\pi$
$938$	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	−0.403974	−	0.914770i	$-0.632371\pi$
$941$	9848.73	−	7155.52i	0.341190	−	0.247889i	0.745164	+	0.666882i	$0.232371\pi$
$942$	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	−0.535270	−	0.844681i	$-0.679790\pi$
$947$	−13750.0	+	4467.64i	−0.471820	+	0.153304i	0.0634491	+	0.997985i	$0.479790\pi$
$948$	−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	−0.538810	−	0.842427i	$-0.681126\pi$
$953$	−14108.3	+	4584.06i	−0.479551	+	0.155816i	0.0592593	+	0.998243i	$0.481126\pi$
$954$	−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	0.425594	−	0.904914i	$-0.360065\pi$
$967$	7157.12	+	2325.49i	0.238012	+	0.0773348i	−0.187582	+	0.982249i	$0.560065\pi$
$968$		−	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	0.964362	−	0.264586i	$-0.0852352\pi$
$971$	867.086	+	2668.62i	0.0286572	+	0.0881977i	−0.935705	+	0.352783i	$0.885235\pi$
$972$	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	−0.905222	−	0.424939i	$-0.860295\pi$
$977$	−6759.66	+	9303.87i	−0.221352	+	0.304664i	0.683870	+	0.729604i	$0.260295\pi$
$978$	−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	−0.0565791	−	0.998398i	$-0.518019\pi$
$983$	−21240.9	−	6901.59i	−0.689196	−	0.223933i	−0.632617	+	0.774465i	$0.718019\pi$
$984$	−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	−0.707263	−	0.706951i	$-0.750070\pi$
$991$	−7907.42	+	5745.08i	−0.253469	+	0.184156i	0.453794	+	0.891107i	$0.350070\pi$
$992$	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	−0.715111	−	0.699011i	$-0.753624\pi$
$997$	−27790.4	+	9029.65i	−0.882779	+	0.286832i	−0.167668	+	0.985843i	$0.553624\pi$
$998$	−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.9.4	✓	24
3.2	odd	2		225.4.m.a.109.3		24
5.2	odd	4		125.4.d.b.76.6		48
5.3	odd	4		125.4.d.b.76.7		48
5.4	even	2		125.4.e.a.49.3		24
25.2	odd	20		125.4.d.b.51.6		48
25.8	odd	20		625.4.a.g.1.11		24
25.11	even	5		125.4.e.a.74.3		24
25.14	even	10	inner	25.4.e.a.14.4	yes	24
25.17	odd	20		625.4.a.g.1.14		24
25.23	odd	20		125.4.d.b.51.7		48
75.14	odd	10		225.4.m.a.64.3		24

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
25.4.e.a.9.4	✓	24	1.1	even	1	trivial
25.4.e.a.14.4	yes	24	25.14	even	10	inner
125.4.d.b.51.6		48	25.2	odd	20
125.4.d.b.51.7		48	25.23	odd	20
125.4.d.b.76.6		48	5.2	odd	4
125.4.d.b.76.7		48	5.3	odd	4
125.4.e.a.49.3		24	5.4	even	2
125.4.e.a.74.3		24	25.11	even	5
225.4.m.a.64.3		24	75.14	odd	10
225.4.m.a.109.3		24	3.2	odd	2
625.4.a.g.1.11		24	25.8	odd	20
625.4.a.g.1.14		24	25.17	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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