LMFDB - Embedded newform 25.4.e.a.4.5

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			4.5
Character	$\chi$	$=$	25.4
Dual form			25.4.e.a.19.5

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(3.33666 + 1.08415i) q^{2} +(-3.80499 + 5.23712i) q^{3} +(3.48577 + 2.53256i) q^{4} +(10.7075 - 3.21691i) q^{5} +(-18.3737 + 13.3493i) q^{6} -25.7483i q^{7} +(-7.61219 - 10.4773i) q^{8} +(-4.60602 - 14.1759i) q^{9} +O(q^{10})$	\(q+(3.33666 + 1.08415i) q^{2} +(-3.80499 + 5.23712i) q^{3} +(3.48577 + 2.53256i) q^{4} +(10.7075 - 3.21691i) q^{5} +(-18.3737 + 13.3493i) q^{6} -25.7483i q^{7} +(-7.61219 - 10.4773i) q^{8} +(-4.60602 - 14.1759i) q^{9} +(39.2150 + 0.874818i) q^{10} +(-17.5092 + 53.8878i) q^{11} +(-26.5266 + 8.61902i) q^{12} +(0.673919 - 0.218969i) q^{13} +(27.9149 - 85.9133i) q^{14} +(-23.8948 + 68.3170i) q^{15} +(-24.6919 - 75.9939i) q^{16} +(-10.2744 - 14.1415i) q^{17} -52.2936i q^{18} +(-39.7708 + 28.8952i) q^{19} +(45.4710 + 15.9041i) q^{20} +(134.847 + 97.9722i) q^{21} +(-116.844 + 160.823i) q^{22} +(14.1339 + 4.59238i) q^{23} +83.8351 q^{24} +(104.303 - 68.8904i) q^{25} +2.48603 q^{26} +(-74.4617 - 24.1941i) q^{27} +(65.2091 - 89.7527i) q^{28} +(183.713 + 133.475i) q^{29} +(-153.794 + 202.045i) q^{30} +(-82.5650 + 59.9870i) q^{31} -176.730i q^{32} +(-215.595 - 296.740i) q^{33} +(-18.9507 - 58.3244i) q^{34} +(-82.8300 - 275.701i) q^{35} +(19.8457 - 61.0788i) q^{36} +(-4.35869 + 1.41622i) q^{37} +(-164.028 + 53.2960i) q^{38} +(-1.41749 + 4.36257i) q^{39} +(-115.212 - 87.6983i) q^{40} +(-50.1161 - 154.241i) q^{41} +(343.722 + 473.093i) q^{42} +522.362i q^{43} +(-197.507 + 143.497i) q^{44} +(-94.9216 - 136.972i) q^{45} +(42.1812 + 30.6464i) q^{46} +(358.757 - 493.787i) q^{47} +(491.942 + 159.842i) q^{48} -319.977 q^{49} +(422.710 - 116.784i) q^{50} +113.155 q^{51} +(2.90368 + 0.943462i) q^{52} +(82.3164 - 113.299i) q^{53} +(-222.223 - 161.455i) q^{54} +(-14.1285 + 633.332i) q^{55} +(-269.773 + 196.001i) q^{56} -318.231i q^{57} +(468.280 + 644.532i) q^{58} +(-25.8715 - 79.6244i) q^{59} +(-256.308 + 177.622i) q^{60} +(82.0453 - 252.509i) q^{61} +(-340.526 + 110.643i) q^{62} +(-365.005 + 118.597i) q^{63} +(-5.93424 + 18.2637i) q^{64} +(6.51161 - 4.51256i) q^{65} +(-397.655 - 1223.86i) q^{66} +(-45.3654 - 62.4401i) q^{67} -75.3146i q^{68} +(-77.8302 + 56.5470i) q^{69} +(22.5251 - 1009.72i) q^{70} +(586.760 + 426.306i) q^{71} +(-113.463 + 156.168i) q^{72} +(-304.100 - 98.8081i) q^{73} -16.0788 q^{74} +(-36.0848 + 808.375i) q^{75} -211.811 q^{76} +(1387.52 + 450.833i) q^{77} +(-9.45932 + 13.0196i) q^{78} +(-39.6719 - 28.8233i) q^{79} +(-508.855 - 734.277i) q^{80} +(735.619 - 534.458i) q^{81} -568.984i q^{82} +(-433.627 - 596.836i) q^{83} +(221.925 + 683.016i) q^{84} +(-155.506 - 118.369i) q^{85} +(-566.317 + 1742.94i) q^{86} +(-1398.05 + 454.255i) q^{87} +(697.881 - 226.755i) q^{88} +(-372.138 + 1145.32i) q^{89} +(-168.224 - 559.936i) q^{90} +(-5.63810 - 17.3523i) q^{91} +(37.6370 + 51.8029i) q^{92} -660.653i q^{93} +(1732.39 - 1258.65i) q^{94} +(-332.895 + 437.336i) q^{95} +(925.557 + 672.457i) q^{96} +(-392.109 + 539.691i) q^{97} +(-1067.65 - 346.901i) q^{98} +844.554 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 $\left(\mathbb{Z}/25\mathbb{Z}\right)^\times$.

$n$	$2$
$\chi(n)$	$e\left(\frac{1}{10}\right)$

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 $

$2$	3.33666	+	1.08415i	1.17969	+	0.383303i	0.832250	−	0.554400i	$-0.187052\pi$
$2$	3.33666	+	1.08415i	1.17969	+	0.383303i	0.347436	+	0.937704i	$0.387052\pi$
$3$	−3.80499	+	5.23712i	−0.732271	+	1.00788i	0.266755	+	0.963764i	$0.414048\pi$
$3$	−3.80499	+	5.23712i	−0.732271	+	1.00788i	−0.999026	+	0.0441201i	$0.985952\pi$
$4$	3.48577	+	2.53256i	0.435721	+	0.316570i
$5$	10.7075	−	3.21691i	0.957712	−	0.287729i
$5$	10.7075	−	3.21691i	0.957712	−	0.287729i
$6$	−18.3737	+	13.3493i	−1.25018	+	0.908305i
$7$		−	25.7483i		−	1.39028i	−0.718875	−	0.695140i	$-0.755343\pi$
$7$		−	25.7483i		−	1.39028i	0.718875	−	0.695140i	$-0.244657\pi$
$8$	−7.61219	−	10.4773i	−0.336415	−	0.463035i
$9$	−4.60602	−	14.1759i	−0.170593	−	0.525032i
$10$	39.2150	+	0.874818i	1.24009	+	0.0276642i
$11$	−17.5092	+	53.8878i	−0.479930	+	1.47707i	0.359263	+	0.933236i	$0.383028\pi$
$11$	−17.5092	+	53.8878i	−0.479930	+	1.47707i	−0.839192	+	0.543835i	$0.816972\pi$
$12$	−26.5266	+	8.61902i	−0.638131	+	0.207341i
$13$	0.673919	−	0.218969i	0.0143778	−	0.00467163i	−0.301819	−	0.953365i	$-0.597594\pi$
$13$	0.673919	−	0.218969i	0.0143778	−	0.00467163i	0.316197	+	0.948694i	$0.397594\pi$
$14$	27.9149	−	85.9133i	0.532899	−	1.64009i
$15$	−23.8948	+	68.3170i	−0.411307	+	1.17596i
$16$	−24.6919	−	75.9939i	−0.385811	−	1.18741i
$17$	−10.2744	−	14.1415i	−0.146583	−	0.201754i	0.729412	−	0.684075i	$-0.239794\pi$
$17$	−10.2744	−	14.1415i	−0.146583	−	0.201754i	−0.875995	+	0.482321i	$0.839794\pi$
$18$		−	52.2936i		−	0.684762i
$19$	−39.7708	+	28.8952i	−0.480213	+	0.348895i	−0.801408	−	0.598118i	$-0.795916\pi$
$19$	−39.7708	+	28.8952i	−0.480213	+	0.348895i	0.321195	+	0.947013i	$0.395916\pi$
$20$	45.4710	+	15.9041i	0.508381	+	0.177813i
$21$	134.847	+	97.9722i	1.40124	+	1.01806i
$22$	−116.844	+	160.823i	−1.13233	+	1.55852i
$23$	14.1339	+	4.59238i	0.128136	+	0.0416338i	0.372383	−	0.928079i	$-0.378541\pi$
$23$	14.1339	+	4.59238i	0.128136	+	0.0416338i	−0.244247	+	0.969713i	$0.578541\pi$
$24$	83.8351			0.713032
$25$	104.303	−	68.8904i	0.834424	−	0.551123i
$26$	2.48603			0.0187519
$27$	−74.4617	−	24.1941i	−0.530747	−	0.172450i
$28$	65.2091	−	89.7527i	0.440120	−	0.605774i
$29$	183.713	+	133.475i	1.17637	+	0.854680i	0.991757	−	0.128132i	$-0.0408980\pi$
$29$	183.713	+	133.475i	1.17637	+	0.854680i	0.184609	+	0.982812i	$0.440898\pi$
$30$	−153.794	+	202.045i	−0.935962	+	1.22961i
$31$	−82.5650	+	59.9870i	−0.478358	+	0.347548i	−0.800690	−	0.599079i	$-0.795533\pi$
$31$	−82.5650	+	59.9870i	−0.478358	+	0.347548i	0.322331	+	0.946627i	$0.395533\pi$
$32$		−	176.730i		−	0.976305i
$33$	−215.595	−	296.740i	−1.13728	−	1.56533i
$34$	−18.9507	−	58.3244i	−0.0955890	−	0.294193i
$35$	−82.8300	−	275.701i	−0.400024	−	1.33149i
$36$	19.8457	−	61.0788i	0.0918782	−	0.282772i
$37$	−4.35869	+	1.41622i	−0.0193666	+	0.00629258i	−0.318684	−	0.947861i	$-0.603241\pi$
$37$	−4.35869	+	1.41622i	−0.0193666	+	0.00629258i	0.299318	+	0.954154i	$0.403241\pi$
$38$	−164.028	+	53.2960i	−0.700234	+	0.227520i
$39$	−1.41749	+	4.36257i	−0.00581998	+	0.0179121i
$40$	−115.212	−	87.6983i	−0.455417	−	0.346658i
$41$	−50.1161	−	154.241i	−0.190898	−	0.587524i	0.809102	−	0.587668i	$-0.199954\pi$
$41$	−50.1161	−	154.241i	−0.190898	−	0.587524i	−1.00000		0.000144663i	$0.999954\pi$
$42$	343.722	+	473.093i	1.26280	+	1.73809i
$43$			522.362i			1.85255i	0.376852	+	0.926273i	$0.377006\pi$
$43$			522.362i			1.85255i	−0.376852	+	0.926273i	$0.622994\pi$
$44$	−197.507	+	143.497i	−0.676711	+	0.491659i
$45$	−94.9216	−	136.972i	−0.314446	−	0.453745i
$46$	42.1812	+	30.6464i	0.135202	+	0.0982297i
$47$	358.757	−	493.787i	1.11341	−	1.53247i	0.297108	−	0.954844i	$-0.403978\pi$
$47$	358.757	−	493.787i	1.11341	−	1.53247i	0.816299	−	0.577629i	$-0.196022\pi$
$48$	491.942	+	159.842i	1.47929	+	0.480649i
$49$	−319.977			−0.932877
$50$	422.710	−	116.784i	1.19561	−	0.330315i
$51$	113.155			0.310684
$52$	2.90368	+	0.943462i	0.00774360	+	0.00251605i
$53$	82.3164	−	113.299i	0.213340	−	0.293637i	−0.688913	−	0.724844i	$-0.741912\pi$
$53$	82.3164	−	113.299i	0.213340	−	0.293637i	0.902253	+	0.431206i	$0.141912\pi$
$54$	−222.223	−	161.455i	−0.560014	−	0.406874i
$55$	−14.1285	+	633.332i	−0.0346380	+	1.55270i
$56$	−269.773	+	196.001i	−0.643748	+	0.467710i
$57$		−	318.231i		−	0.739485i
$58$	468.280	+	644.532i	1.06014	+	1.45916i
$59$	−25.8715	−	79.6244i	−0.0570879	−	0.175699i	0.918447	−	0.395545i	$-0.129444\pi$
$59$	−25.8715	−	79.6244i	−0.0570879	−	0.175699i	−0.975534	+	0.219847i	$0.929444\pi$
$60$	−256.308	+	177.622i	−0.551488	+	0.382182i
$61$	82.0453	−	252.509i	0.172210	−	0.530009i	−0.827285	−	0.561783i	$-0.810116\pi$
$61$	82.0453	−	252.509i	0.172210	−	0.530009i	0.999495	+	0.0317741i	$0.0101157\pi$
$62$	−340.526	+	110.643i	−0.697529	+	0.226641i
$63$	−365.005	+	118.597i	−0.729941	+	0.237172i
$64$	−5.93424	+	18.2637i	−0.0115903	+	0.0356713i
$65$	6.51161	−	4.51256i	0.0124256	−	0.00861099i
$66$	−397.655	−	1223.86i	−0.741636	−	2.28252i
$67$	−45.3654	−	62.4401i	−0.0827203	−	0.113855i	0.765651	−	0.643256i	$-0.222417\pi$
$67$	−45.3654	−	62.4401i	−0.0827203	−	0.113855i	−0.848372	+	0.529401i	$0.822417\pi$
$68$		−	75.3146i		−	0.134312i
$69$	−77.8302	+	56.5470i	−0.135792	+	0.0986588i
$70$	22.5251	−	1009.72i	0.0384609	−	1.72407i
$71$	586.760	+	426.306i	0.980783	+	0.712580i	0.957883	−	0.287157i	$-0.0927103\pi$
$71$	586.760	+	426.306i	0.980783	+	0.712580i	0.0228994	+	0.999738i	$0.492710\pi$
$72$	−113.463	+	156.168i	−0.185718	+	0.255619i
$73$	−304.100	−	98.8081i	−0.487565	−	0.158419i	0.0549102	−	0.998491i	$-0.482513\pi$
$73$	−304.100	−	98.8081i	−0.487565	−	0.158419i	−0.542475	+	0.840072i	$0.682513\pi$
$74$	−16.0788			−0.0252585
$75$	−36.0848	+	808.375i	−0.0555562	+	1.24457i
$76$	−211.811			−0.319689
$77$	1387.52	+	450.833i	2.05354	+	0.667236i
$78$	−9.45932	+	13.0196i	−0.0137315	+	0.0188998i
$79$	−39.6719	−	28.8233i	−0.0564992	−	0.0410491i	0.559177	−	0.829048i	$-0.311117\pi$
$79$	−39.6719	−	28.8233i	−0.0564992	−	0.0410491i	−0.615676	+	0.787999i	$0.711117\pi$
$80$	−508.855	−	734.277i	−0.711147	−	1.02618i
$81$	735.619	−	534.458i	1.00908	−	0.733139i
$82$		−	568.984i		−	0.766265i
$83$	−433.627	−	596.836i	−0.573455	−	0.789293i	0.419504	−	0.907753i	$-0.362204\pi$
$83$	−433.627	−	596.836i	−0.573455	−	0.789293i	−0.992959	+	0.118461i	$0.962204\pi$
$84$	221.925	+	683.016i	0.288262	+	0.887181i
$85$	−155.506	−	118.369i	−0.198435	−	0.151046i
$86$	−566.317	+	1742.94i	−0.710087	+	2.18542i
$87$	−1398.05	+	454.255i	−1.72284	+	0.559784i
$88$	697.881	−	226.755i	0.845391	−	0.274684i
$89$	−372.138	+	1145.32i	−0.443219	+	1.36409i	0.441206	+	0.897406i	$0.354551\pi$
$89$	−372.138	+	1145.32i	−0.443219	+	1.36409i	−0.884425	+	0.466683i	$0.845449\pi$
$90$	−168.224	−	559.936i	−0.197026	−	0.655805i
$91$	−5.63810	−	17.3523i	−0.00649487	−	0.0199892i
$92$	37.6370	+	51.8029i	0.0426514	+	0.0587046i
$93$		−	660.653i		−	0.736629i
$94$	1732.39	−	1258.65i	1.90087	−	1.38106i
$95$	−332.895	+	437.336i	−0.359519	+	0.472312i
$96$	925.557	+	672.457i	0.984003	+	0.714920i
$97$	−392.109	+	539.691i	−0.410439	+	0.564921i	−0.963326	−	0.268335i	$-0.913526\pi$
$97$	−392.109	+	539.691i	−0.410439	+	0.564921i	0.552886	+	0.833257i	$0.313526\pi$
$98$	−1067.65	−	346.901i	−1.10050	−	0.357575i
$99$	844.554			0.857383
$100$	538.045	+	24.0176i	0.538045	+	0.0240176i
$101$	−974.795			−0.960354			−0.480177	−	0.877172i	$-0.659427\pi$
$101$	−974.795			−0.960354			−0.480177	+	0.877172i	$0.659427\pi$
$102$	377.559	+	122.676i	0.366509	+	0.119086i
$103$	264.195	−	363.634i	0.252737	−	0.347863i	−0.663730	−	0.747972i	$-0.731028\pi$
$103$	264.195	−	363.634i	0.252737	−	0.347863i	0.916468	+	0.400109i	$0.131028\pi$
$104$	−7.42420	−	5.39400i	−0.00700003	−	0.00508582i
$105$	1759.05	+	615.251i	1.63491	+	0.571832i
$106$	397.494	−	288.796i	0.364226	−	0.264626i
$107$		−	494.275i		−	0.446573i	−0.974753	−	0.223287i	$-0.928321\pi$
$107$		−	494.275i		−	0.446573i	0.974753	−	0.223287i	$-0.0716786\pi$
$108$	−198.283	−	272.914i	−0.176665	−	0.243158i
$109$	−147.137	−	452.842i	−0.129295	−	0.397930i	0.865364	−	0.501144i	$-0.167087\pi$
$109$	−147.137	−	452.842i	−0.129295	−	0.397930i	−0.994659	+	0.103214i	$0.967087\pi$
$110$	−733.765	+	2097.89i	−0.636016	+	1.81842i
$111$	9.16783	−	28.2157i	0.00783939	−	0.0241271i
$112$	−1956.72	+	635.776i	−1.65082	+	0.536385i
$113$	38.2743	−	12.4361i	0.0318632	−	0.0103530i	−0.293042	−	0.956100i	$-0.594668\pi$
$113$	38.2743	−	12.4361i	0.0318632	−	0.0103530i	0.324905	+	0.945747i	$0.394668\pi$
$114$	345.008	−	1061.83i	0.283447	−	0.872360i
$115$	166.113	+	3.70569i	0.134696	+	0.00300484i
$116$	302.347	+	930.527i	0.242002	+	0.744804i
$117$	−6.20816	−	8.54481i	−0.00490551	−	0.00675186i
$118$		−	293.728i		−	0.229151i
$119$	−364.121	+	264.549i	−0.280495	+	0.203792i
$120$	897.668	−	269.690i	0.682879	−	0.205160i
$121$	−1520.52	−	1104.72i	−1.14239	−	0.829995i
$122$	547.514	−	753.588i	0.406308	−	0.559235i
$123$	998.472	+	324.423i	0.731945	+	0.237823i
$124$	−439.723			−0.318454
$125$	895.215	−	1073.18i	0.640564	−	0.767905i
$126$	−1346.47			−0.952011
$127$	−1375.85	−	447.039i	−0.961312	−	0.312349i	−0.214008	−	0.976832i	$-0.568652\pi$
$127$	−1375.85	−	447.039i	−0.961312	−	0.312349i	−0.747304	+	0.664483i	$0.768652\pi$
$128$	−870.636	+	1198.33i	−0.601204	+	0.827486i
$129$	−2735.67	−	1987.58i	−1.86715	−	1.35657i
$130$	26.6193	−	7.99733i	0.0179590	−	0.00539548i
$131$	1679.52	−	1220.24i	1.12015	−	0.813839i	0.135921	−	0.990720i	$-0.456601\pi$
$131$	1679.52	−	1220.24i	1.12015	−	0.813839i	0.984232	+	0.176881i	$0.0566008\pi$
$132$		−	1580.37i		−	1.04207i
$133$	744.003	+	1024.03i	0.485062	+	0.667631i
$134$	−83.6745	−	257.524i	−0.0539431	−	0.166020i
$135$	−875.132	−	19.5227i	−0.557922	−	0.0124463i
$136$	−69.9539	+	215.296i	−0.0441066	+	0.135746i
$137$	−27.2005	+	8.83797i	−0.0169627	+	0.00551152i	−0.317486	−	0.948263i	$-0.602839\pi$
$137$	−27.2005	+	8.83797i	−0.0169627	+	0.00551152i	0.300523	+	0.953774i	$0.402839\pi$
$138$	−320.998	+	104.299i	−0.198008	+	0.0643368i
$139$	160.637	−	494.390i	0.0980219	−	0.301681i	−0.890008	−	0.455946i	$-0.849301\pi$
$139$	160.637	−	494.390i	0.0980219	−	0.301681i	0.988029	+	0.154265i	$0.0493011\pi$
$140$	409.504	−	1170.80i	0.247210	−	0.706792i
$141$	1220.95	+	3757.71i	0.729240	+	2.24437i
$142$	1495.64	+	2058.57i	0.883881	+	1.21656i
$143$			40.1500i			0.0234791i
$144$	−963.548	+	700.059i	−0.557609	+	0.405127i
$145$	2396.49	+	838.205i	1.37254	+	0.480063i
$146$	−907.555	−	659.378i	−0.514451	−	0.373770i
$147$	1217.51	−	1675.76i	0.683118	−	0.940232i
$148$	−18.7800	−	6.10200i	−0.0104305	−	0.00338906i
$149$	1720.82			0.946140			0.473070	−	0.881025i	$-0.343146\pi$
$149$	1720.82			0.946140			0.473070	+	0.881025i	$0.343146\pi$
$150$	−996.798	+	2658.15i	−0.542588	+	1.44691i
$151$	−2133.52			−1.14982			−0.574911	−	0.818216i	$-0.694964\pi$
$151$	−2133.52			−1.14982			−0.574911	+	0.818216i	$0.694964\pi$
$152$	605.486	+	196.734i	0.323101	+	0.104982i
$153$	−153.144	+	210.785i	−0.0809214	+	0.111379i
$154$	4140.91	+	3008.55i	2.16678	+	1.57426i
$155$	−691.096	+	907.917i	−0.358130	+	0.470488i
$156$	−15.9895	+	11.6170i	−0.00820630	+	0.00596223i
$157$			1603.34i			0.815034i	0.913198	+	0.407517i	$0.133605\pi$
$157$			1603.34i			0.815034i	−0.913198	+	0.407517i	$0.866395\pi$
$158$	−101.123	−	139.184i	−0.0509171	−	0.0700813i
$159$	280.146	+	862.201i	0.139730	+	0.430044i
$160$	−568.525	−	1892.35i	−0.280911	−	0.935019i
$161$	118.246	−	363.924i	0.0578826	−	0.178144i
$162$	3033.94	−	985.786i	1.47141	−	0.478091i
$163$	1816.67	−	590.271i	0.872959	−	0.283642i	0.161928	−	0.986803i	$-0.448229\pi$
$163$	1816.67	−	590.271i	0.872959	−	0.283642i	0.711031	+	0.703161i	$0.248229\pi$
$164$	215.932	−	664.571i	0.102814	−	0.316429i
$165$	−3263.07	−	2483.81i	−1.53958	−	1.17191i
$166$	−799.807	−	2461.55i	−0.373958	−	1.15092i
$167$	−496.597	−	683.507i	−0.230107	−	0.316715i	0.678314	−	0.734772i	$-0.262711\pi$
$167$	−496.597	−	683.507i	−0.230107	−	0.316715i	−0.908421	+	0.418058i	$0.862711\pi$
$168$		−	2158.61i		−	0.991314i
$169$	−1777.00	+	1291.07i	−0.808832	+	0.587651i
$170$	−390.540	−	563.548i	−0.176194	−	0.254248i
$171$	592.800	+	430.694i	0.265102	+	0.192608i
$172$	−1322.91	+	1820.83i	−0.586460	+	0.807193i
$173$	−2728.29	−	886.475i	−1.19901	−	0.389581i	−0.359611	−	0.933102i	$-0.617091\pi$
$173$	−2728.29	−	886.475i	−1.19901	−	0.389581i	−0.839395	+	0.543522i	$0.817091\pi$
$174$	−5157.30			−2.24698
$175$	−1773.81	−	2685.63i	−0.766215	−	1.16008i
$176$	4527.48			1.93904
$177$	515.444	+	167.478i	0.218888	+	0.0711209i
$178$	−2483.39	+	3418.09i	−1.04572	+	1.43931i
$179$	625.645	+	454.558i	0.261245	+	0.189806i	0.710696	−	0.703499i	$-0.248380\pi$
$179$	625.645	+	454.558i	0.261245	+	0.189806i	−0.449451	+	0.893305i	$0.648380\pi$
$180$	16.0139	−	717.845i	0.00663114	−	0.297250i
$181$	1471.01	−	1068.75i	0.604086	−	0.438894i	−0.243241	−	0.969966i	$-0.578211\pi$
$181$	1471.01	−	1068.75i	0.604086	−	0.438894i	0.847327	+	0.531072i	$0.178211\pi$
$182$		−	64.0111i		−	0.0260704i
$183$	1010.24	+	1390.48i	0.408083	+	0.561678i
$184$	−59.4743	−	183.043i	−0.0238288	−	0.0733375i
$185$	−42.1150	+	29.1858i	−0.0167370	+	0.0115988i
$186$	716.243	−	2204.37i	0.282352	−	0.868991i
$187$	941.953	−	306.059i	0.368355	−	0.119686i
$188$	2501.09	−	812.653i	0.970269	−	0.315260i
$189$	−622.957	+	1917.27i	−0.239754	+	0.737887i
$190$	−1584.89	+	1098.33i	−0.605158	+	0.419376i
$191$	−974.412	−	2998.93i	−0.369141	−	1.13610i	−0.947347	−	0.320209i	$-0.896247\pi$
$191$	−974.412	−	2998.93i	−0.369141	−	1.13610i	0.578206	−	0.815891i	$-0.303753\pi$
$192$	−73.0695	−	100.572i	−0.0274653	−	0.0378028i
$193$			3138.22i			1.17044i	0.810876	+	0.585218i	$0.198991\pi$
$193$			3138.22i			1.17044i	−0.810876	+	0.585218i	$0.801009\pi$
$194$	−1893.44	+	1375.66i	−0.700726	+	0.509107i
$195$	−1.14380	+	51.2723i	−0.000420046	+	0.0188292i
$196$	−1115.36	−	810.359i	−0.406474	−	0.295320i
$197$	−1365.25	+	1879.10i	−0.493755	+	0.679596i	−0.981075	−	0.193628i	$-0.937975\pi$
$197$	−1365.25	+	1879.10i	−0.493755	+	0.679596i	0.487320	+	0.873224i	$0.337975\pi$
$198$	2817.99	+	915.619i	1.01144	+	0.328638i
$199$	4411.73			1.57156			0.785778	−	0.618509i	$-0.212263\pi$
$199$	4411.73			1.57156			0.785778	+	0.618509i	$0.212263\pi$
$200$	−1515.76	−	568.405i	−0.535901	−	0.200962i
$201$	499.621			0.175326
$202$	−3252.56	−	1056.82i	−1.13292	−	0.368107i
$203$	3436.77	−	4730.30i	1.18824	−	1.63548i
$204$	394.432	+	286.571i	0.135371	+	0.0983530i
$205$	−1032.80	−	1490.33i	−0.351873	−	0.507751i
$206$	1275.76	−	926.894i	0.431488	−	0.313494i
$207$		−	221.513i		−	0.0743778i
$208$	−33.2807	−	45.8070i	−0.0110942	−	0.0152699i
$209$	−860.743	−	2649.09i	−0.284875	−	0.876754i
$210$	5202.32	+	3959.94i	1.70950	+	1.30125i
$211$	−645.186	+	1985.68i	−0.210504	+	0.647866i	0.788938	+	0.614473i	$0.210631\pi$
$211$	−645.186	+	1985.68i	−0.210504	+	0.647866i	−0.999442	+	0.0333931i	$0.989369\pi$
$212$	573.871	−	186.462i	0.185913	−	0.0604069i
$213$	−4465.23	+	1450.84i	−1.43640	+	0.466714i
$214$	535.865	−	1649.22i	0.171173	−	0.526816i
$215$	1680.39	+	5593.22i	0.533031	+	1.77421i
$216$	313.329	+	964.327i	0.0987006	+	0.303769i
$217$	1544.56	+	2125.91i	0.483188	+	0.665052i
$218$		−	1670.50i		−	0.518992i
$219$	1674.57	−	1216.65i	0.516698	−	0.375403i
$220$	−1653.20	+	2171.86i	−0.506630	+	0.665578i
$221$	−10.0207	−	7.28046i	−0.00305007	−	0.00221600i
$222$	61.1798	−	84.2067i	0.0184960	−	0.0254576i
$223$	−1528.03	−	496.486i	−0.458853	−	0.149090i	0.0704643	−	0.997514i	$-0.477552\pi$
$223$	−1528.03	−	496.486i	−0.458853	−	0.149090i	−0.529317	+	0.848424i	$0.677552\pi$
$224$	−4550.51			−1.35734
$225$	−1457.00	−	1161.28i	−0.431704	−	0.344082i
$226$	141.191			0.0415569
$227$	3750.96	+	1218.76i	1.09674	+	0.356353i	0.800847	−	0.598869i	$-0.204383\pi$
$227$	3750.96	+	1218.76i	1.09674	+	0.356353i	0.295893	+	0.955221i	$0.404383\pi$
$228$	805.937	−	1109.28i	0.234099	−	0.322209i
$229$	−7.35376	−	5.34282i	−0.00212205	−	0.00154176i	0.586724	−	0.809787i	$-0.300417\pi$
$229$	−7.35376	−	5.34282i	−0.00212205	−	0.00154176i	−0.588846	+	0.808245i	$0.700417\pi$
$230$	550.243	+	192.455i	0.157748	+	0.0551743i
$231$	−7640.57	+	5551.20i	−2.17625	+	1.58113i
$232$		−	2940.85i		−	0.832226i
$233$	2693.76	+	3707.65i	0.757401	+	1.04247i	0.997426	+	0.0717060i	$0.0228443\pi$
$233$	2693.76	+	3707.65i	0.757401	+	1.04247i	−0.240025	+	0.970767i	$0.577156\pi$
$234$	−11.4507	−	35.2416i	−0.00319896	−	0.00984537i
$235$	2252.94	−	6441.34i	0.625386	−	1.78803i
$236$	111.471	−	343.073i	0.0307465	−	0.0946278i
$237$	301.902	−	98.0940i	0.0827454	−	0.0268856i
$238$	−1501.76	+	487.950i	−0.409010	+	0.132895i
$239$	548.855	−	1689.20i	0.148546	−	0.457177i	−0.848904	−	0.528547i	$-0.822737\pi$
$239$	548.855	−	1689.20i	0.148546	−	0.457177i	0.997450	+	0.0713699i	$0.0227371\pi$
$240$	5781.69	+	128.979i	1.55503	+	0.0346899i
$241$	639.277	+	1967.49i	0.170869	+	0.525881i	0.999421	−	0.0340317i	$-0.0108347\pi$
$241$	639.277	+	1967.49i	0.170869	+	0.525881i	−0.828552	+	0.559913i	$0.810835\pi$
$242$	−3875.77	−	5334.55i	−1.02952	−	1.41702i
$243$			3772.20i			0.995831i
$244$	925.485	−	672.405i	0.242820	−	0.176419i
$245$	−3426.16	+	1029.34i	−0.893427	+	0.268416i
$246$	2979.84	+	2164.98i	0.772307	+	0.561114i
$247$	−20.4751	+	28.1816i	−0.00527450	+	0.00725973i
$248$	1257.00	+	408.424i	0.321853	+	0.104577i
$249$	4775.65			1.21544
$250$	4150.51	−	2610.29i	1.05000	−	0.660357i
$251$	−1870.21			−0.470306			−0.235153	−	0.971958i	$-0.575559\pi$
$251$	−1870.21			−0.470306			−0.235153	+	0.971958i	$0.575559\pi$
$252$	−1572.68	−	510.994i	−0.393132	−	0.127736i
$253$	−494.947	+	681.236i	−0.122992	+	0.169284i
$254$	−4106.07	−	2983.23i	−1.01432	−	0.736948i
$255$	1211.61	−	364.009i	0.297545	−	0.0893927i
$256$	−4079.89	+	2964.21i	−0.996066	+	0.723684i
$257$			3965.10i			0.962398i	0.876611	+	0.481199i	$0.159799\pi$
$257$			3965.10i			0.962398i	−0.876611	+	0.481199i	$0.840201\pi$
$258$	−6973.18	−	9597.75i	−1.68268	−	2.31601i
$259$	36.4654	+	112.229i	0.00874845	+	0.0269250i
$260$	34.1263	+	0.761298i	0.00814008	+	0.000181591i
$261$	1045.94	−	3219.08i	0.248054	−	0.763433i
$262$	6926.89	−	2250.68i	1.63338	−	0.530716i
$263$	−1599.39	+	519.673i	−0.374990	+	0.121842i	−0.490448	−	0.871471i	$-0.663167\pi$
$263$	−1599.39	+	519.673i	−0.374990	+	0.121842i	0.115457	+	0.993312i	$0.463167\pi$
$264$	−1467.89	+	4517.69i	−0.342205	+	1.05320i
$265$	516.934	−	1477.96i	0.119830	−	0.342604i
$266$	1372.28	+	4223.45i	0.316316	+	0.973520i
$267$	−4582.21	−	6306.87i	−1.05029	−	1.44560i
$268$		−	332.542i		−	0.0757956i
$269$	4216.97	−	3063.81i	0.955812	−	0.694438i	0.00363751	−	0.999993i	$-0.498842\pi$
$269$	4216.97	−	3063.81i	0.955812	−	0.694438i	0.952174	+	0.305555i	$0.0988421\pi$
$270$	−2898.85	−	1013.91i	−0.653402	−	0.228536i
$271$	−1663.46	−	1208.57i	−0.372870	−	0.270906i	0.385530	−	0.922695i	$-0.374019\pi$
$271$	−1663.46	−	1208.57i	−0.372870	−	0.270906i	−0.758400	+	0.651789i	$0.774019\pi$
$272$	−820.975	+	1129.98i	−0.183011	+	0.251893i
$273$	112.329	+	36.4979i	0.0249028	+	0.00809140i
$274$	−100.340			−0.0221233
$275$	1886.09	+	6826.88i	0.413583	+	1.49700i
$276$	−414.506			−0.0903998
$277$	−4713.21	−	1531.41i	−1.02234	−	0.332180i	−0.250585	−	0.968095i	$-0.580623\pi$
$277$	−4713.21	−	1531.41i	−1.02234	−	0.332180i	−0.771759	+	0.635915i	$0.780623\pi$
$278$	1071.98	−	1475.45i	0.231270	−	0.318316i
$279$	1230.66	+	894.129i	0.264078	+	0.191864i
$280$	−2258.08	+	2966.53i	−0.481951	+	0.633156i
$281$	−269.239	+	195.614i	−0.0571582	+	0.0415279i	−0.615998	−	0.787748i	$-0.711247\pi$
$281$	−269.239	+	195.614i	−0.0571582	+	0.0415279i	0.558839	+	0.829276i	$0.311247\pi$
$282$			13861.9i			2.92717i
$283$	−3415.86	−	4701.53i	−0.717498	−	0.987551i	−0.999603	−	0.0281677i	$-0.991033\pi$
$283$	−3415.86	−	4701.53i	−0.717498	−	0.987551i	0.282105	−	0.959383i	$-0.408967\pi$
$284$	965.663	+	2972.01i	0.201766	+	0.620972i
$285$	−1023.72	−	3407.47i	−0.212771	−	0.708214i
$286$	−43.5284	+	133.967i	−0.00899961	+	0.0276980i
$287$	−3971.46	+	1290.41i	−0.816822	+	0.265402i
$288$	−2505.30	+	814.022i	−0.512592	+	0.166551i
$289$	1423.78	−	4381.95i	0.289799	−	0.891909i
$290$	7087.53	+	5394.95i	1.43515	+	1.09242i
$291$	−1334.46	−	4107.04i	−0.268823	−	0.827351i
$292$	−809.785	−	1114.57i	−0.162291	−	0.223375i
$293$		−	2665.28i		−	0.531425i	−0.964052	−	0.265713i	$-0.914393\pi$
$293$		−	2665.28i		−	0.531425i	0.964052	−	0.265713i	$-0.0856072\pi$
$294$	5879.17	−	4271.47i	1.16626	−	0.847337i
$295$	−533.165	−	769.356i	−0.105227	−	0.151843i
$296$	48.0173	+	34.8866i	0.00942888	+	0.00685049i
$297$	2607.53	−	3588.96i	0.509442	−	0.701187i
$298$	5741.78	+	1865.62i	1.11615	+	0.362659i
$299$	10.5307			0.00203681
$300$	−2173.04	+	2726.42i	−0.418201	+	0.524699i
$301$	13450.0			2.57556
$302$	−7118.82	−	2313.04i	−1.35643	−	0.440731i
$303$	3709.09	−	5105.12i	0.703239	−	0.967925i
$304$	3177.88	+	2308.86i	0.599552	+	0.435600i
$305$	66.2040	−	2967.69i	0.0124289	−	0.557145i
$306$	−739.511	+	537.286i	−0.138154	+	0.100375i
$307$			7966.15i			1.48095i	0.672083	+	0.740476i	$0.265400\pi$
$307$			7966.15i			1.48095i	−0.672083	+	0.740476i	$0.734600\pi$
$308$	3694.81	+	5085.48i	0.683544	+	0.940818i
$309$	899.133	+	2767.25i	0.165534	+	0.509460i
$310$	−3290.26	+	2280.16i	−0.602821	+	0.417756i
$311$	348.743	−	1073.32i	0.0635865	−	0.195699i	−0.914216	−	0.405227i	$-0.867193\pi$
$311$	348.743	−	1073.32i	0.0635865	−	0.195699i	0.977803	+	0.209528i	$0.0671926\pi$
$312$	56.4981	−	18.3573i	0.0102518	−	0.00333102i
$313$	6032.02	−	1959.92i	1.08930	−	0.353934i	0.291323	−	0.956625i	$-0.405905\pi$
$313$	6032.02	−	1959.92i	1.08930	−	0.353934i	0.797975	+	0.602691i	$0.205905\pi$
$314$	−1738.25	+	5349.79i	−0.312405	+	0.961484i
$315$	−3526.79	+	2444.07i	−0.630832	+	0.437168i
$316$	−65.2902	−	200.943i	−0.0116230	−	0.0357719i
$317$	1866.50	+	2569.01i	0.330703	+	0.455174i	0.941697	−	0.336461i	$-0.109230\pi$
$317$	1866.50	+	2569.01i	0.330703	+	0.455174i	−0.610994	+	0.791635i	$0.709230\pi$
$318$			3180.59i			0.560876i
$319$	−10409.4	+	7562.84i	−1.82700	+	1.32739i
$320$	−4.78846	+	214.649i	−0.000836509	+	0.0374977i
$321$	2588.58	+	1880.71i	0.450094	+	0.327012i
$322$	789.094	−	1086.09i	0.136567	−	0.187968i
$323$	817.244	+	265.539i	0.140782	+	0.0457430i
$324$	3917.74			0.671766
$325$	55.2069	−	69.2657i	0.00942254	−	0.0118221i
$326$	6701.53			1.13854
$327$	2931.44	+	952.484i	0.495747	+	0.161078i
$328$	−1234.54	+	1699.20i	−0.207823	+	0.286044i
$329$	−12714.2	−	9237.40i	−2.13057	−	1.54795i
$330$	−8194.94	−	11825.3i	−1.36702	−	1.97261i
$331$	−7098.44	+	5157.32i	−1.17875	+	0.856410i	−0.992030	−	0.126004i	$-0.959785\pi$
$331$	−7098.44	+	5157.32i	−1.17875	+	0.856410i	−0.186717	+	0.982414i	$0.559785\pi$
$332$		−	3178.62i		−	0.525450i
$333$	40.1524	+	55.2650i	0.00660762	+	0.00909460i
$334$	−915.953	−	2819.01i	−0.150056	−	0.461825i
$335$	−686.616	−	522.644i	−0.111982	−	0.0852390i
$336$	4115.66	−	12666.7i	0.668236	−	2.05662i
$337$	2049.95	−	666.069i	0.331359	−	0.107665i	−0.138613	−	0.990347i	$-0.544264\pi$
$337$	2049.95	−	666.069i	0.331359	−	0.107665i	0.469971	+	0.882682i	$0.344264\pi$
$338$	−7328.96	+	2381.32i	−1.17942	+	0.383216i
$339$	−80.5042	+	247.766i	−0.0128979	+	0.0396956i
$340$	−242.280	−	806.435i	−0.0386456	−	0.128633i
$341$	−1786.92	−	5499.57i	−0.283774	−	0.873368i
$342$	1511.03	+	2079.76i	0.238910	+	0.328832i
$343$		−	592.811i		−	0.0933201i
$344$	5472.94	−	3976.32i	0.857794	−	0.623224i
$345$	−651.464	+	855.852i	−0.101663	+	0.133558i
$346$	−8142.30	−	5915.72i	−1.26512	−	0.919166i
$347$	1997.90	−	2749.87i	0.309086	−	0.425420i	−0.626010	−	0.779815i	$-0.715313\pi$
$347$	1997.90	−	2749.87i	0.309086	−	0.425420i	0.935096	+	0.354395i	$0.115313\pi$
$348$	−6023.71	−	1957.22i	−0.927887	−	0.301489i
$349$	−6980.55			−1.07066			−0.535330	−	0.844643i	$-0.679813\pi$
$349$	−6980.55			−1.07066			−0.535330	+	0.844643i	$0.679813\pi$
$350$	−3006.99	−	10884.1i	−0.459230	−	1.66223i
$351$	−55.4789			−0.00843660
$352$	9523.60	+	3094.40i	1.44207	+	0.468558i
$353$	−5450.12	+	7501.45i	−0.821758	+	1.13105i	0.167643	+	0.985848i	$0.446384\pi$
$353$	−5450.12	+	7501.45i	−0.821758	+	1.13105i	−0.989402	+	0.145205i	$0.953616\pi$
$354$	1538.29	+	1117.63i	0.230958	+	0.167801i
$355$	7654.14	+	2677.14i	1.14434	+	0.400247i
$356$	−4197.78	+	3049.86i	−0.624949	+	0.454052i
$357$		−	2913.55i		−	0.431937i
$358$	1594.76	+	2194.99i	0.235434	+	0.324047i
$359$	3701.87	+	11393.2i	0.544226	+	1.67495i	0.722824	+	0.691032i	$0.242844\pi$
$359$	3701.87	+	11393.2i	0.544226	+	1.67495i	−0.178599	+	0.983922i	$0.557156\pi$
$360$	−712.529	+	2037.17i	−0.104315	+	0.298246i
$361$	−1372.76	+	4224.93i	−0.200140	+	0.615968i
$362$	6066.95	−	1971.27i	0.880861	−	0.286209i
$363$	11571.1	−	3759.69i	1.67308	−	0.543616i
$364$	24.2926	−	74.7648i	0.00349801	−	0.0107658i
$365$	−3574.02	−	79.7303i	−0.512529	−	0.0114336i
$366$	1863.35	+	5734.79i	0.266117	+	0.819023i
$367$	−4578.51	−	6301.77i	−0.651215	−	0.896321i	0.347936	−	0.937518i	$-0.386883\pi$
$367$	−4578.51	−	6301.77i	−0.651215	−	0.896321i	−0.999151	+	0.0411974i	$0.986883\pi$
$368$		−	1187.49i		−	0.168212i
$369$	−1955.67	+	1420.88i	−0.275903	+	0.200455i
$370$	−172.165	+	51.7241i	−0.0241903	+	0.00726759i
$371$	−2917.25	−	2119.51i	−0.408238	−	0.296602i
$372$	1673.14	−	2302.88i	0.233194	−	0.320965i
$373$	−4058.00	−	1318.53i	−0.563312	−	0.183031i	0.0134988	−	0.999909i	$-0.495703\pi$
$373$	−4058.00	−	1318.53i	−0.563312	−	0.183031i	−0.576811	+	0.816878i	$0.695703\pi$
$374$	3474.79			0.480419
$375$	2214.09	+	8771.79i	0.304893	+	1.20793i
$376$	−7904.48			−1.08415
$377$	153.035	+	49.7240i	0.0209063	+	0.00679287i
$378$	−4157.19	+	5721.88i	−0.565669	+	0.778576i
$379$	9508.16	+	6908.09i	1.28866	+	0.936265i	0.999777	−	0.0210997i	$-0.00671673\pi$
$379$	9508.16	+	6908.09i	1.28866	+	0.936265i	0.288881	+	0.957365i	$0.406717\pi$
$380$	−2267.97	+	681.375i	−0.306170	+	0.0919837i
$381$	7576.28	−	5504.49i	1.01875	−	0.740167i
$382$		−	11062.8i		−	1.48173i
$383$	4424.56	+	6089.88i	0.590298	+	0.812476i	0.994777	−	0.102072i	$-0.0325471\pi$
$383$	4424.56	+	6089.88i	0.590298	+	0.812476i	−0.404479	+	0.914547i	$0.632547\pi$
$384$	−2963.02	−	9119.25i	−0.393766	−	1.21189i
$385$	16307.2	+	363.786i	2.15868	+	0.0481565i
$386$	−3402.29	+	10471.2i	−0.448632	+	1.38075i
$387$	7404.94	−	2406.01i	0.972647	−	0.316032i
$388$	−2733.60	+	888.200i	−0.357674	+	0.116215i
$389$	−1357.47	+	4177.86i	−0.176932	+	0.544540i	−0.999716	−	0.0238134i	$-0.992419\pi$
$389$	−1357.47	+	4177.86i	−0.176932	+	0.544540i	0.822785	+	0.568353i	$0.192419\pi$
$390$	−59.4031	+	169.838i	−0.00771280	+	0.0220515i
$391$	−80.2744	−	247.059i	−0.0103827	−	0.0319548i
$392$	2435.72	+	3352.49i	0.313833	+	0.431954i
$393$			13438.8i			1.72494i
$394$	−6592.58	+	4789.79i	−0.842968	+	0.612452i
$395$	−517.511	−	181.006i	−0.0659210	−	0.0230567i
$396$	2943.92	+	2138.88i	0.373579	+	0.271421i
$397$	−5570.72	+	7667.44i	−0.704248	+	0.969315i	0.295653	+	0.955295i	$0.404463\pi$
$397$	−5570.72	+	7667.44i	−0.704248	+	0.969315i	−0.999902	+	0.0140194i	$0.995537\pi$
$398$	14720.4	+	4782.96i	1.85394	+	0.602382i
$399$	−8193.91			−1.02809
$400$	−7810.69	−	6225.36i	−0.976336	−	0.778170i
$401$	−9254.56			−1.15250			−0.576248	−	0.817275i	$-0.695484\pi$
$401$	−9254.56			−1.15250			−0.576248	+	0.817275i	$0.695484\pi$
$402$	1667.06	+	541.662i	0.206830	+	0.0672031i
$403$	−42.5068	+	58.5056i	−0.00525413	+	0.00723169i
$404$	−3397.91	−	2468.72i	−0.418446	−	0.304019i
$405$	6157.37	−	8089.15i	0.755462	−	0.992477i
$406$	16595.6	−	12057.4i	2.02864	−	1.47389i
$407$		−	259.677i		−	0.0316258i
$408$	−861.357	−	1185.56i	−0.104518	−	0.143857i
$409$	−4698.15	−	14459.4i	−0.567992	−	1.74810i	−0.658890	−	0.752240i	$-0.728974\pi$
$409$	−4698.15	−	14459.4i	−0.567992	−	1.74810i	0.0908975	−	0.995860i	$-0.471026\pi$
$410$	−1830.37	−	6092.42i	−0.220477	−	0.733861i
$411$	57.2120	−	176.081i	0.00686633	−	0.0211324i
$412$	1841.85	−	598.452i	0.220246	−	0.0715622i
$413$	−2050.20	+	666.149i	−0.244270	+	0.0793682i
$414$	240.152	−	739.112i	0.0285093	−	0.0877425i
$415$	−6563.05	−	4995.71i	−0.776307	−	0.590915i
$416$	−38.6985	−	119.102i	−0.00456094	−	0.0140371i
$417$	1977.96	+	2722.42i	0.232280	+	0.319707i
$418$		−	9772.28i		−	1.14349i
$419$	−1365.84	+	992.339i	−0.159249	+	0.115701i	−0.664556	−	0.747238i	$-0.731379\pi$
$419$	−1365.84	+	992.339i	−0.159249	+	0.115701i	0.505307	+	0.862940i	$0.331379\pi$
$420$	4573.48	+	6599.51i	0.531340	+	0.766722i
$421$	6104.07	+	4434.87i	0.706637	+	0.513402i	0.882087	−	0.471087i	$-0.156138\pi$
$421$	6104.07	+	4434.87i	0.706637	+	0.513402i	−0.175450	+	0.984488i	$0.556138\pi$
$422$	−4305.53	+	5926.05i	−0.496658	+	0.683592i
$423$	−8652.30	−	2811.30i	−0.994537	−	0.323145i
$424$	−1813.67			−0.207735
$425$	−2045.87	−	767.195i	−0.233504	−	0.0875634i
$426$	−16471.9			−1.87339
$427$	−6501.70	−	2112.53i	−0.736860	−	0.239420i
$428$	1251.78	−	1722.93i	0.141372	−	0.194581i
$429$	−210.270	−	152.770i	−0.0236642	−	0.0171931i
$430$	−456.972	+	20484.4i	−0.0512492	+	2.29732i
$431$	10788.0	−	7837.92i	1.20566	−	0.875961i	0.210828	−	0.977523i	$-0.432384\pi$
$431$	10788.0	−	7837.92i	1.20566	−	0.875961i	0.994829	+	0.101562i	$0.0323839\pi$
$432$			6256.04i			0.696745i
$433$	322.389	+	443.731i	0.0357807	+	0.0492479i	0.826533	−	0.562889i	$-0.190310\pi$
$433$	322.389	+	443.731i	0.0357807	+	0.0492479i	−0.790752	+	0.612137i	$0.790310\pi$
$434$	2848.88	+	8767.97i	0.315094	+	0.969760i
$435$	−13508.4	+	9361.36i	−1.48892	+	1.03182i
$436$	633.962	−	1951.14i	0.0696360	−	0.214317i
$437$	−694.815	+	225.759i	−0.0760583	+	0.0247128i
$438$	6906.48	−	2244.05i	0.753435	−	0.244806i
$439$	3699.48	−	11385.8i	0.402202	−	1.23785i	−0.521008	−	0.853552i	$-0.674444\pi$
$439$	3699.48	−	11385.8i	0.402202	−	1.23785i	0.923209	−	0.384297i	$-0.125556\pi$
$440$	6743.14	−	4673.01i	0.730606	−	0.506312i
$441$	1473.82	+	4535.95i	0.159143	+	0.489790i
$442$	−25.5425	−	35.1563i	−0.00274872	−	0.00378329i
$443$		−	16460.7i		−	1.76540i	−0.469934	−	0.882702i	$-0.655722\pi$
$443$		−	16460.7i		−	1.76540i	0.469934	−	0.882702i	$-0.344278\pi$
$444$	103.415	−	75.1352i	0.0110537	−	0.00803099i
$445$	−300.285	+	13460.7i	−0.0319885	+	1.43393i
$446$	−4560.24	−	3313.21i	−0.484156	−	0.351760i
$447$	−6547.69	+	9012.13i	−0.692831	+	0.953600i
$448$	470.260	+	152.797i	0.0495931	+	0.0161138i
$449$	13403.0			1.40875			0.704373	−	0.709830i	$-0.251228\pi$
$449$	13403.0			1.40875			0.704373	+	0.709830i	$0.251228\pi$
$450$	−3602.52	−	5454.38i	−0.377388	−	0.571382i
$451$	9189.22			0.959432
$452$	164.910	+	53.5826i	0.0171609	+	0.00557592i
$453$	8118.02	−	11173.5i	0.841982	−	1.15889i
$454$	11194.4	+	8133.17i	1.15722	+	0.840768i
$455$	−116.191	−	167.663i	−0.0119717	−	0.0172751i
$456$	−3334.19	+	2422.43i	−0.342407	+	0.248774i
$457$		−	17975.8i		−	1.83999i	−0.391934	−	0.919993i	$-0.628194\pi$
$457$		−	17975.8i		−	1.83999i	0.391934	−	0.919993i	$-0.371806\pi$
$458$	−18.7446	−	25.7997i	−0.00191239	−	0.00263218i
$459$	422.910	+	1301.58i	0.0430060	+	0.132359i
$460$	569.645	+	433.607i	0.0577388	+	0.0439501i
$461$	1135.88	−	3495.89i	0.114758	−	0.353189i	−0.877139	−	0.480237i	$-0.840551\pi$
$461$	1135.88	−	3495.89i	0.114758	−	0.353189i	0.991896	+	0.127049i	$0.0405505\pi$
$462$	−31512.3	+	10239.0i	−3.17334	+	1.03108i
$463$	−5985.97	+	1944.96i	−0.600846	+	0.195227i	−0.593617	−	0.804747i	$-0.702301\pi$
$463$	−5985.97	+	1944.96i	−0.600846	+	0.195227i	−0.00722802	+	0.999974i	$0.502301\pi$
$464$	5607.08	−	17256.8i	0.560996	−	1.72657i
$465$	−2125.26	−	7073.97i	−0.211950	−	0.705478i
$466$	4968.54	+	15291.6i	0.493912	+	1.52010i
$467$	1393.46	+	1917.94i	0.138077	+	0.190046i	0.872456	−	0.488694i	$-0.162526\pi$
$467$	1393.46	+	1917.94i	0.138077	+	0.190046i	−0.734379	+	0.678740i	$0.762526\pi$
$468$		−	45.5077i		−	0.00449486i
$469$	−1607.73	+	1168.08i	−0.158290	+	0.115004i
$470$	14500.6	−	19050.0i	1.42312	−	1.86960i
$471$	−8396.88	−	6100.69i	−0.821460	−	0.596826i
$472$	−637.309	+	877.180i	−0.0621494	+	0.0855413i
$473$	−28149.0	−	9146.15i	−2.73634	−	0.889092i
$474$	1113.69			0.107919
$475$	−2157.62	+	5753.68i	−0.208417	+	0.555783i
$476$	−1939.23			−0.186732
$477$	−1985.26	−	645.050i	−0.190563	−	0.0619178i
$478$	3662.68	−	5041.24i	0.350475	−	0.482387i
$479$	10227.6	+	7430.76i	0.975594	+	0.708811i	0.956720	−	0.291011i	$-0.0939917\pi$
$479$	10227.6	+	7430.76i	0.975594	+	0.708811i	0.0188745	+	0.999822i	$0.493992\pi$
$480$	12073.7	+	4222.93i	1.14809	+	0.401561i
$481$	−2.62729	+	1.90884i	−0.000249052	+	0.000180947i
$482$			7257.91i			0.685869i
$483$	1455.99	+	2004.00i	0.137163	+	0.188789i
$484$	−2502.41	−	7701.61i	−0.235012	−	0.723292i
$485$	−2462.38	+	7040.15i	−0.230538	+	0.659127i
$486$	−4089.62	+	12586.5i	−0.381705	+	1.17477i
$487$	3128.33	−	1016.46i	0.291084	−	0.0945790i	−0.159835	−	0.987144i	$-0.551096\pi$
$487$	3128.33	−	1016.46i	0.291084	−	0.0945790i	0.450919	+	0.892565i	$0.351096\pi$
$488$	−3270.16	+	1062.54i	−0.303346	+	0.0985632i
$489$	−3821.08	+	11760.1i	−0.353364	+	1.08754i
$490$	−12547.9	−	279.922i	−1.15685	−	0.0258073i
$491$	4751.60	+	14623.9i	0.436734	+	1.34413i	0.891299	+	0.453416i	$0.149795\pi$
$491$	4751.60	+	14623.9i	0.436734	+	1.34413i	−0.454565	+	0.890714i	$0.650205\pi$
$492$	2658.82	+	3659.55i	0.243636	+	0.335336i
$493$		−	3969.36i		−	0.362619i
$494$	−98.8714	+	71.8343i	−0.00900493	+	0.00654247i
$495$	9043.10	−	2716.85i	0.821126	−	0.246694i
$496$	6597.33	+	4793.24i	0.597236	+	0.433917i
$497$	10976.7	−	15108.1i	0.990686	−	1.36356i
$498$	15934.7	+	5177.50i	1.43384	+	0.465882i
$499$	−10390.9			−0.932188			−0.466094	−	0.884735i	$-0.654339\pi$
$499$	−10390.9			−0.932188			−0.466094	+	0.884735i	$0.654339\pi$
$500$	5838.40	−	1473.67i	0.522202	−	0.131809i
$501$	5469.16			0.487713
$502$	−6240.26	−	2027.58i	−0.554813	−	0.180270i
$503$	−2349.28	+	3233.50i	−0.208249	+	0.286630i	−0.900346	−	0.435174i	$-0.856687\pi$
$503$	−2349.28	+	3233.50i	−0.208249	+	0.286630i	0.692098	+	0.721804i	$0.256687\pi$
$504$	4021.07	+	2921.48i	0.355382	+	0.258200i
$505$	−10437.7	+	3135.83i	−0.919742	+	0.276322i
$506$	−2390.03	+	1736.46i	−0.209979	+	0.152559i
$507$		−	14218.9i		−	1.24553i
$508$	−3663.72	−	5042.68i	−0.319983	−	0.440419i
$509$	5747.34	+	17688.5i	0.500484	+	1.54033i	0.808233	+	0.588863i	$0.200424\pi$
$509$	5747.34	+	17688.5i	0.500484	+	1.54033i	−0.307749	+	0.951468i	$0.599576\pi$
$510$	4437.37	+	98.9901i	0.385275	+	0.00859481i
$511$	−2544.15	+	7830.07i	−0.220247	+	0.677851i
$512$	−5557.06	+	1805.60i	−0.479667	+	0.155853i
$513$	3660.50	−	1189.37i	0.315039	−	0.102362i
$514$	−4298.75	+	13230.2i	−0.368890	+	1.13533i
$515$	1659.11	−	4743.52i	0.141959	−	0.405872i
$516$	−4502.25	−	13856.5i	−0.384110	−	1.18217i
$517$	20327.5	+	27978.5i	1.72922	+	2.38006i
$518$			414.003i			0.0351163i
$519$	15023.7	−	10915.4i	1.27065	−	0.923181i
$520$	−96.8470	−	33.8735i	−0.00816735	−	0.00285664i
$521$	−3550.98	−	2579.94i	−0.298601	−	0.216947i	0.428389	−	0.903595i	$-0.359081\pi$
$521$	−3550.98	−	2579.94i	−0.298601	−	0.216947i	−0.726990	+	0.686648i	$0.759081\pi$
$522$	6979.90	−	9607.01i	0.585253	−	0.805531i
$523$	−11200.9	−	3639.39i	−0.936483	−	0.304282i	−0.199272	−	0.979944i	$-0.563858\pi$
$523$	−11200.9	−	3639.39i	−0.936483	−	0.304282i	−0.737211	+	0.675662i	$0.763858\pi$
$524$	8944.73			0.745711
$525$	20814.3	+	929.124i	1.73031	+	0.0772387i
$526$	−5900.01			−0.489073
$527$	1696.62	+	551.264i	0.140239	+	0.0455663i
$528$	−17227.0	+	23711.0i	−1.41991	+	1.95433i
$529$	−9664.63	−	7021.77i	−0.794332	−	0.577116i
$530$	3327.15	−	4371.00i	0.272683	−	0.358234i
$531$	−1009.58	+	733.503i	−0.0825086	+	0.0599460i
$532$			5453.77i			0.444456i
$533$	−67.5483	−	92.9723i	−0.00548939	−	0.00755549i
$534$	−8451.69	−	26011.6i	−0.684907	−	2.10793i
$535$	−1590.04	−	5292.47i	−0.128492	−	0.427688i
$536$	−308.872	+	950.611i	−0.0248904	+	0.0766048i
$537$	−4761.15	+	1546.99i	−0.382605	+	0.124316i
$538$	17392.2	−	5651.07i	1.39374	−	0.452853i
$539$	5602.54	−	17242.8i	0.447715	−	1.37793i
$540$	−3001.06	−	2284.37i	−0.239158	−	0.182044i
$541$	−3649.42	−	11231.8i	−0.290020	−	0.892590i	−0.984849	−	0.173415i	$-0.944520\pi$
$541$	−3649.42	−	11231.8i	−0.290020	−	0.892590i	0.694829	−	0.719175i	$-0.255480\pi$
$542$	−4240.12	−	5836.02i	−0.336031	−	0.462506i
$543$			11770.5i			0.930238i
$544$	−2499.23	+	1815.80i	−0.196974	+	0.143110i
$545$	−3032.23	−	4375.50i	−0.238324	−	0.343900i
$546$	335.234	+	243.562i	0.0262760	+	0.0190906i
$547$	6353.18	−	8744.40i	0.496604	−	0.683517i	−0.484985	−	0.874523i	$-0.661175\pi$
$547$	6353.18	−	8744.40i	0.496604	−	0.683517i	0.981589	+	0.191006i	$0.0611749\pi$
$548$	−117.197	−	38.0797i	−0.00913579	−	0.00296840i
$549$	−3957.44			−0.307649
$550$	−1108.10	+	24823.7i	−0.0859083	+	1.92452i
$551$	−11163.2			−0.863101
$552$	1184.92	+	385.003i	0.0913649	+	0.0296863i
$553$	−742.152	+	1021.49i	−0.0570697	+	0.0785497i
$554$	−14066.1	−	10219.6i	−1.07872	−	0.783735i
$555$	7.39770	−	331.613i	0.000565793	−	0.0253625i
$556$	1812.01	−	1316.50i	0.138213	−	0.100418i
$557$		−	3402.60i		−	0.258838i	−0.991590	−	0.129419i	$-0.958689\pi$
$557$		−	3402.60i		−	0.258838i	0.991590	−	0.129419i	$-0.0413113\pi$
$558$	3136.93	+	4317.62i	0.237987	+	0.327562i
$559$	114.381	+	352.030i	0.00865442	+	0.0266356i
$560$	−18906.4	+	13102.2i	−1.42668	+	0.988693i
$561$	−1981.25	+	6097.67i	−0.149106	+	0.458902i
$562$	−1110.43	+	360.801i	−0.0833466	+	0.0270809i
$563$	−4659.31	+	1513.90i	−0.348786	+	0.113327i	−0.478170	−	0.878267i	$-0.658700\pi$
$563$	−4659.31	+	1513.90i	−0.348786	+	0.113327i	0.129385	+	0.991594i	$0.458700\pi$
$564$	−5260.66	+	16190.6i	−0.392755	+	1.20877i
$565$	369.818	−	256.285i	0.0275369	−	0.0190832i
$566$	−6300.41	−	19390.7i	−0.467891	−	1.44002i
$567$	−13761.4	−	18941.0i	−1.01927	−	1.40290i
$568$		−	9392.77i		−	0.693859i
$569$	−7699.95	+	5594.34i	−0.567309	+	0.412174i	−0.834127	−	0.551573i	$-0.814028\pi$
$569$	−7699.95	+	5594.34i	−0.567309	+	0.412174i	0.266818	+	0.963747i	$0.414028\pi$
$570$	278.394	−	12479.4i	0.0204573	−	0.917026i
$571$	20011.1	+	14539.0i	1.46662	+	1.06556i	0.981576	+	0.191073i	$0.0611968\pi$
$571$	20011.1	+	14539.0i	1.46662	+	1.06556i	0.485045	+	0.874489i	$0.338803\pi$
$572$	−101.682	+	139.953i	−0.00743277	+	0.0102303i
$573$	19413.4	+	6307.79i	1.41537	+	0.459881i
$574$	−14650.4			−1.06532
$575$	1790.58	−	494.690i	0.129865	−	0.0358783i
$576$	286.237			0.0207058
$577$	2114.15	+	686.930i	0.152536	+	0.0495620i	0.384290	−	0.923212i	$-0.374446\pi$
$577$	2114.15	+	686.930i	0.152536	+	0.0495620i	−0.231754	+	0.972775i	$0.574446\pi$
$578$	9501.34	−	13077.5i	0.683743	−	0.941092i
$579$	−16435.2	−	11940.9i	−1.17966	−	0.857076i
$580$	6230.81	+	8991.04i	0.446069	+	0.643677i
$581$	−15367.5	+	11165.2i	−1.09734	+	0.797262i
$582$		−	15150.5i		−	1.07905i
$583$	4664.13	+	6419.62i	0.331335	+	0.456044i
$584$	1279.63	+	3938.29i	0.0906702	+	0.279054i
$585$	−93.9620	−	71.5228i	−0.00664077	−	0.00505488i
$586$	2889.56	−	8893.14i	0.203697	−	0.626915i
$587$	−5936.28	+	1928.81i	−0.417404	+	0.135623i	−0.510187	−	0.860063i	$-0.670424\pi$
$587$	−5936.28	+	1928.81i	−0.417404	+	0.135623i	0.0927826	+	0.995686i	$0.470424\pi$
$588$	8487.90	−	2757.89i	0.595298	−	0.193424i
$589$	1550.34	−	4771.46i	0.108456	−	0.333794i
$590$	−944.895	−	3145.10i	−0.0659334	−	0.219461i
$591$	−4646.33	−	14299.9i	−0.323391	−	0.995297i
$592$	215.249	+	296.264i	0.0149437	+	0.0205682i
$593$			14286.5i			0.989337i	0.869082	+	0.494668i	$0.164710\pi$
$593$			14286.5i			0.989337i	−0.869082	+	0.494668i	$0.835290\pi$
$594$	12591.4	−	9148.18i	0.869749	−	0.631910i
$595$	−3047.81	+	4004.02i	−0.209997	+	0.275880i
$596$	5998.37	+	4358.07i	0.412253	+	0.299519i
$597$	−16786.6	+	23104.8i	−1.15080	+	1.58395i
$598$	35.1373	+	11.4168i	0.00240279	+	0.000780715i
$599$	17523.2			1.19529			0.597644	−	0.801761i	$-0.296104\pi$
$599$	17523.2			1.19529			0.597644	+	0.801761i	$0.296104\pi$
$600$	8744.25	−	5775.43i	0.594971	−	0.392968i
$601$	694.659			0.0471477			0.0235738	−	0.999722i	$-0.492496\pi$
$601$	694.659			0.0471477			0.0235738	+	0.999722i	$0.492496\pi$
$602$	44877.9	+	14581.7i	3.03835	+	0.987220i
$603$	−676.188	+	930.693i	−0.0456659	+	0.0628537i
$604$	−7436.95	−	5403.26i	−0.501002	−	0.363999i
$605$	−19834.8	−	6937.50i	−1.33289	−	0.466197i
$606$	17910.6	−	13012.8i	1.20061	−	0.872294i
$607$		−	2475.15i		−	0.165508i	−0.996570	−	0.0827538i	$-0.973628\pi$
$607$		−	2475.15i		−	0.165508i	0.996570	−	0.0827538i	$-0.0263715\pi$
$608$	5106.65	+	7028.70i	0.340628	+	0.468835i
$609$	11696.3	+	35997.5i	0.778256	+	2.39523i
$610$	3438.31	−	9830.38i	0.228218	−	0.652493i
$611$	133.649	−	411.329i	0.00884920	−	0.0272350i
$612$	−1067.65	+	346.901i	−0.0705183	+	0.0229128i
$613$	−15350.2	+	4987.59i	−1.01140	+	0.328625i	−0.767413	−	0.641153i	$-0.778456\pi$
$613$	−15350.2	+	4987.59i	−1.01140	+	0.328625i	−0.243990	+	0.969778i	$0.578456\pi$
$614$	−8636.47	+	26580.3i	−0.567654	+	1.74706i
$615$	11734.8	+	261.784i	0.769421	+	0.0171644i
$616$	−5838.57	−	17969.3i	−0.381888	−	1.17533i
$617$	3579.95	+	4927.37i	0.233587	+	0.321505i	0.909679	−	0.415312i	$-0.136328\pi$
$617$	3579.95	+	4927.37i	0.233587	+	0.321505i	−0.676092	+	0.736817i	$0.736328\pi$
$618$			10208.1i			0.664452i
$619$	−14154.3	+	10283.7i	−0.919077	+	0.667748i	−0.943294	−	0.331958i	$-0.892291\pi$
$619$	−14154.3	+	10283.7i	−0.919077	+	0.667748i	0.0242174	+	0.999707i	$0.492291\pi$
$620$	−4708.35	+	1414.55i	−0.304987	+	0.0916284i
$621$	−941.326	−	683.914i	−0.0608279	−	0.0441941i
$622$	2327.27	−	3203.21i	0.150024	−	0.206490i
$623$	29490.1	+	9581.93i	1.89646	+	0.616199i
$624$	366.529			0.0235143
$625$	6133.23	−	14370.9i	0.392527	−	0.919740i
$626$	22251.6			1.42069
$627$	17148.7	+	5571.96i	1.09227	+	0.354901i
$628$	−4060.55	+	5588.86i	−0.258015	+	0.355127i
$629$	64.8105	+	47.0876i	0.00410837	+	0.00298491i
$630$	−14417.4	+	4331.48i	−0.911752	+	0.273921i
$631$	24955.1	−	18131.0i	1.57440	−	1.14387i	0.651623	−	0.758543i	$-0.274089\pi$
$631$	24955.1	−	18131.0i	1.57440	−	1.14387i	0.922780	−	0.385327i	$-0.125911\pi$
$632$			635.062i			0.0399706i
$633$	−7944.31	−	10934.4i	−0.498828	−	0.686578i
$634$	3442.68	+	10595.5i	0.215656	+	0.663722i
$635$	−16170.0	−	360.725i	−1.01053	−	0.0225432i
$636$	−1207.05	+	3714.92i	−0.0752558	+	0.231613i
$637$	−215.638	+	70.0651i	−0.0134127	+	0.00435806i
$638$	−42931.7	+	13949.3i	−2.66408	+	0.865611i
$639$	3340.63	−	10281.4i	0.206813	−	0.636504i
$640$	−5467.46	+	15631.9i	−0.337688	+	0.965477i
$641$	347.830	+	1070.51i	0.0214328	+	0.0659635i	0.961201	−	0.275849i	$-0.0889591\pi$
$641$	347.830	+	1070.51i	0.0214328	+	0.0659635i	−0.939768	+	0.341813i	$0.888959\pi$
$642$	6598.22	+	9081.67i	0.405625	+	0.558295i
$643$			7233.10i			0.443617i	0.975090	+	0.221808i	$0.0711959\pi$
$643$			7233.10i			0.443617i	−0.975090	+	0.221808i	$0.928804\pi$
$644$	1333.84	−	969.090i	0.0816158	−	0.0592974i
$645$	−35686.2	−	12481.7i	−2.17852	−	0.761965i
$646$	2438.98	+	1772.02i	0.148546	+	0.107925i
$647$	732.186	−	1007.77i	0.0444903	−	0.0612356i	−0.786192	−	0.617982i	$-0.787950\pi$
$647$	732.186	−	1007.77i	0.0444903	−	0.0612356i	0.830683	+	0.556746i	$0.187950\pi$
$648$	−11199.3	−	3638.89i	−0.678938	−	0.220600i
$649$	4743.78			0.286918
$650$	259.300	−	171.263i	0.0156471	−	0.0103346i
$651$	−17010.7			−1.02412
$652$	7827.37	+	2543.27i	0.470159	+	0.152764i
$653$	17184.8	−	23652.8i	1.02985	−	1.41747i	0.124788	−	0.992183i	$-0.460175\pi$
$653$	17184.8	−	23652.8i	1.02985	−	1.41747i	0.905061	−	0.425282i	$-0.139825\pi$
$654$	8748.59	+	6356.22i	0.523084	+	0.380043i
$655$	14058.1	−	18468.6i	0.838619	−	1.10172i
$656$	−10483.9	+	7617.04i	−0.623978	+	0.453346i
$657$			4766.00i			0.283013i
$658$	−32408.2	−	44606.1i	−1.92007	−	2.64274i
$659$	−2480.32	−	7633.63i	−0.146615	−	0.451235i	0.850600	−	0.525813i	$-0.176239\pi$
$659$	−2480.32	−	7633.63i	−0.146615	−	0.451235i	−0.997215	+	0.0745783i	$0.976239\pi$
$660$	−5083.92	−	16921.9i	−0.299835	−	0.998007i
$661$	1622.35	−	4993.09i	0.0954648	−	0.293811i	−0.891910	−	0.452214i	$-0.850635\pi$
$661$	1622.35	−	4993.09i	0.0954648	−	0.293811i	0.987375	+	0.158403i	$0.0506345\pi$
$662$	−29276.3	+	9512.45i	−1.71882	+	0.558477i
$663$	76.2573	−	24.7775i	0.00446695	−	0.00145140i
$664$	−2952.37	+	9086.47i	−0.172552	+	0.531059i
$665$	11260.7	+	8571.48i	0.656646	+	0.499831i
$666$	74.0594	+	227.931i	0.00430892	+	0.0132615i
$667$	1983.61	+	2730.21i	0.115151	+	0.158492i
$668$		−	3640.21i		−	0.210844i
$669$	8414.28	−	6113.34i	0.486271	−	0.353296i
$670$	−1724.38	−	2488.27i	−0.0994307	−	0.143478i
$671$	12170.6	+	8842.48i	0.700212	+	0.508734i
$672$	17314.6	−	23831.6i	0.993938	−	1.36804i
$673$	19815.0	+	6438.30i	1.13494	+	0.368764i	0.815451	−	0.578826i	$-0.196489\pi$
$673$	19815.0	+	6438.30i	1.13494	+	0.368764i	0.319488	+	0.947590i	$0.396489\pi$
$674$	7562.09			0.432167
$675$	−9433.32	+	2606.18i	−0.537909	+	0.148610i
$676$	−9463.93			−0.538457
$677$	−32289.3	−	10491.4i	−1.83305	−	0.595595i	−0.999038	−	0.0438552i	$-0.986036\pi$
$677$	−32289.3	−	10491.4i	−1.83305	−	0.595595i	−0.834016	−	0.551740i	$-0.813964\pi$
$678$	−537.229	+	739.433i	−0.0304309	+	0.0418846i
$679$	13896.2	+	10096.1i	0.785398	+	0.570625i
$680$	−56.4472	+	2530.33i	−0.00318331	+	0.142697i
$681$	−20655.2	+	15006.9i	−1.16227	+	0.844441i
$682$		−	20287.5i		−	1.13907i
$683$	12189.4	+	16777.3i	0.682890	+	0.939918i	0.999964	−	0.00848316i	$-0.00270031\pi$
$683$	12189.4	+	16777.3i	0.682890	+	0.939918i	−0.317074	+	0.948401i	$0.602700\pi$
$684$	975.603	+	3002.60i	0.0545367	+	0.167847i
$685$	−262.819	+	182.134i	−0.0146596	+	0.0101591i
$686$	642.693	−	1978.01i	0.0357699	−	0.110088i
$687$	55.9620	−	18.1831i	0.00310783	−	0.00100980i
$688$	39696.4	−	12898.1i	2.19972	−	0.714733i
$689$	30.6656	−	94.3789i	0.00169560	−	0.00521851i
$690$	−3101.58	+	2149.40i	−0.171123	+	0.118589i
$691$	232.263	+	714.832i	0.0127868	+	0.0393538i	0.957246	−	0.289274i	$-0.0934138\pi$
$691$	232.263	+	714.832i	0.0127868	+	0.0393538i	−0.944460	+	0.328628i	$0.893414\pi$
$692$	−7265.13	−	9999.59i	−0.399102	−	0.549317i
$693$		−	21745.9i		−	1.19200i
$694$	9647.56	−	7009.36i	0.527689	−	0.383389i
$695$	129.621	−	5810.45i	0.00707455	−	0.317127i
$696$	15401.6	+	11189.9i	0.838787	+	0.609415i
$697$	−1666.30	+	2293.46i	−0.0905530	+	0.124636i
$698$	−23291.7	−	7567.93i	−1.26304	−	0.410387i
$699$	−29667.2			−1.60531
$700$	618.414	−	13853.8i	0.0333912	−	0.748032i
$701$	−9887.84			−0.532751			−0.266376	−	0.963869i	$-0.585826\pi$
$701$	−9887.84			−0.532751			−0.266376	+	0.963869i	$0.585826\pi$
$702$	−185.114	−	60.1472i	−0.00995254	−	0.00323378i
$703$	132.426	−	182.269i	0.00710463	−	0.00977869i
$704$	−880.287	−	639.566i	−0.0471265	−	0.0342394i
$705$	25161.6	+	36308.2i	1.34417	+	1.93964i
$706$	−26317.8	+	19121.0i	−1.40295	+	1.01930i
$707$			25099.3i			1.33516i
$708$	1372.57	+	1889.18i	0.0728592	+	0.100282i
$709$	−8570.62	−	26377.6i	−0.453986	−	1.39723i	−0.872321	−	0.488933i	$-0.837386\pi$
$709$	−8570.62	−	26377.6i	−0.453986	−	1.39723i	0.418335	−	0.908293i	$-0.362614\pi$
$710$	22636.8	+	17230.9i	1.19654	+	0.910794i
$711$	−225.866	+	695.144i	−0.0119137	+	0.0366666i
$712$	14832.6	−	4819.42i	0.780726	−	0.253673i
$713$	−1442.45	+	468.680i	−0.0757645	+	0.0246174i
$714$	3158.71	−	9721.52i	0.165563	−	0.509550i
$715$	129.159	+	429.908i	0.00675561	+	0.0224862i
$716$	1029.66	+	3168.96i	0.0537432	+	0.165405i
$717$	6758.16	+	9301.81i	0.352006	+	0.484494i
$718$			42028.4i			2.18452i
$719$	−8273.36	+	6010.95i	−0.429130	+	0.311781i	−0.781301	−	0.624155i	$-0.785444\pi$
$719$	−8273.36	+	6010.95i	−0.429130	+	0.311781i	0.352171	+	0.935936i	$0.385444\pi$
$720$	−8065.21	+	10595.6i	−0.417462	+	0.548435i
$721$	−9362.96	−	6802.59i	−0.483627	−	0.351375i
$722$	−9160.87	+	12608.9i	−0.472205	+	0.649935i
$723$	−12736.4	−	4138.32i	−0.655150	−	0.212871i
$724$	7834.29			0.402153
$725$	28357.0	+	1265.82i	1.45262	+	0.0648433i
$726$	42685.0			2.18208
$727$	137.397	+	44.6429i	0.00700931	+	0.00227746i	0.312520	−	0.949911i	$-0.398827\pi$
$727$	137.397	+	44.6429i	0.00700931	+	0.00227746i	−0.305510	+	0.952189i	$0.598827\pi$
$728$	−138.887	+	191.161i	−0.00707071	+	0.00973200i
$729$	106.221	+	77.1738i	0.00539657	+	0.00392084i
$730$	−11838.8	−	4140.79i	−0.600240	−	0.209942i
$731$	7387.00	−	5366.97i	0.373759	−	0.271552i
$732$			7405.37i			0.373921i
$733$	−5705.26	−	7852.61i	−0.287488	−	0.395693i	0.640708	−	0.767784i	$-0.278641\pi$
$733$	−5705.26	−	7852.61i	−0.287488	−	0.395693i	−0.928196	+	0.372091i	$0.878641\pi$
$734$	−8444.86	−	25990.6i	−0.424667	−	1.30699i
$735$	7645.77	−	21859.9i	0.383699	−	1.09702i
$736$	811.612	−	2497.89i	0.0406473	−	0.125100i
$737$	4159.07	−	1351.36i	0.207871	−	0.0675415i
$738$	−8065.84	+	2620.75i	−0.402314	+	0.130720i
$739$	5937.82	−	18274.7i	0.295570	−	0.909671i	−0.687459	−	0.726223i	$-0.741274\pi$
$739$	5937.82	−	18274.7i	0.295570	−	0.909671i	0.983029	−	0.183448i	$-0.0587259\pi$
$740$	−220.718	−	4.92383i	−0.0109645	−	0.000244599i
$741$	−69.6828	−	214.461i	−0.00345460	−	0.0106322i
$742$	−7436.02	−	10234.8i	−0.367904	−	0.506376i
$743$			10938.0i			0.540073i	0.962850	+	0.270037i	$0.0870358\pi$
$743$			10938.0i			0.540073i	−0.962850	+	0.270037i	$0.912964\pi$
$744$	−6921.85	+	5029.01i	−0.341085	+	0.247813i
$745$	18425.7	−	5535.71i	0.906130	−	0.272232i
$746$	−12110.7	−	8798.93i	−0.594375	−	0.431839i
$747$	−6463.38	+	8896.08i	−0.316577	+	0.435730i
$748$	4058.54	+	1318.70i	0.198389	+	0.0644605i
$749$	−12726.7			−0.620861
$750$	−2122.25	+	31668.8i	−0.103325	+	1.54184i
$751$	−8215.63			−0.399191			−0.199596	−	0.979878i	$-0.563963\pi$
$751$	−8215.63			−0.399191			−0.199596	+	0.979878i	$0.563963\pi$
$752$	−46383.2	−	15070.8i	−2.24923	−	0.730820i
$753$	7116.14	−	9794.53i	0.344391	−	0.474014i
$754$	456.716	+	331.823i	0.0220592	+	0.0160269i
$755$	−22844.7	+	6863.33i	−1.10120	+	0.330837i
$756$	−7027.07	+	5105.46i	−0.338058	+	0.245614i
$757$		−	7299.45i		−	0.350466i	−0.984527	−	0.175233i	$-0.943932\pi$
$757$		−	7299.45i		−	0.350466i	0.984527	−	0.175233i	$-0.0560679\pi$
$758$	24236.1	+	33358.1i	1.16134	+	1.59845i
$759$	−1684.45	−	5184.19i	−0.0805554	−	0.247924i
$760$	7116.15	+	158.749i	0.339644	+	0.00757688i
$761$	9193.15	−	28293.6i	0.437913	−	1.34776i	−0.452160	−	0.891937i	$-0.649346\pi$
$761$	9193.15	−	28293.6i	0.437913	−	1.34776i	0.890072	−	0.455820i	$-0.150654\pi$
$762$	31247.1	−	10152.8i	1.48552	−	0.482674i
$763$	−11659.9	+	3788.54i	−0.553234	+	0.179757i
$764$	4198.39	−	12921.3i	0.198812	−	0.611881i
$765$	−961.723	+	2749.64i	−0.0454525	+	0.129952i
$766$	8160.91	+	25116.7i	0.384942	+	1.18473i
$767$	−34.8706	−	47.9953i	−0.00164160	−	0.00225947i
$768$		−	32645.6i		−	1.53385i
$769$	21867.3	−	15887.5i	1.02543	−	0.745018i	0.0580406	−	0.998314i	$-0.481515\pi$
$769$	21867.3	−	15887.5i	1.02543	−	0.745018i	0.967389	+	0.253296i	$0.0815147\pi$
$770$	54017.2	+	18893.2i	2.52811	+	0.884240i
$771$	−20765.7	−	15087.2i	−0.969986	−	0.704736i
$772$	−7947.72	+	10939.1i	−0.370524	+	0.509983i
$773$	21916.7	+	7121.16i	1.01978	+	0.331346i	0.770741	−	0.637149i	$-0.219886\pi$
$773$	21916.7	+	7121.16i	1.01978	+	0.331346i	0.249036	+	0.968494i	$0.419886\pi$
$774$	27316.2			1.26855
$775$	−4479.25	+	11944.8i	−0.207612	+	0.553636i
$776$	8639.31			0.399656
$777$	−726.507	−	236.056i	−0.0335435	−	0.0108989i
$778$	−9058.82	+	12468.4i	−0.417448	+	0.574567i
$779$	6449.99	+	4686.19i	0.296656	+	0.215533i
$780$	−133.837	+	175.827i	−0.00614377	+	0.00807129i
$781$	−33246.4	+	24154.9i	−1.52324	+	1.10670i
$782$		−	911.380i		−	0.0416763i
$783$	−10450.3	−	14383.6i	−0.476963	−	0.656484i
$784$	7900.84	+	24316.3i	0.359914	+	1.10770i
$785$	5157.79	+	17167.8i	0.234509	+	0.780568i
$786$	−14569.6	+	44840.8i	−0.661173	+	2.03488i
$787$	−9357.29	+	3040.37i	−0.423826	+	0.137710i	−0.513162	−	0.858292i	$-0.671526\pi$
$787$	−9357.29	+	3040.37i	−0.423826	+	0.137710i	0.0893350	+	0.996002i	$0.471526\pi$
$788$	−9517.86	+	3092.54i	−0.430279	+	0.139806i
$789$	3364.07	−	10353.5i	0.151792	−	0.467168i
$790$	−1530.52	−	1165.01i	−0.0689283	−	0.0524674i
$791$	−320.208	−	985.500i	−0.0143935	−	0.0442988i
$792$	−6428.91	−	8848.63i	−0.288436	−	0.396998i
$793$		−	188.136i		−	0.00842486i
$794$	−26900.2	+	19544.1i	−1.20233	+	0.873546i
$795$	5773.30	+	8330.86i	0.257557	+	0.371654i
$796$	15378.3	+	11173.0i	0.684759	+	0.497507i
$797$	18257.8	−	25129.7i	0.811449	−	1.11686i	−0.179649	−	0.983731i	$-0.557496\pi$
$797$	18257.8	−	25129.7i	0.811449	−	1.11686i	0.991098	−	0.133134i	$-0.0425039\pi$
$798$	−27340.2	−	8883.38i	−1.21282	−	0.394071i
$799$	−10668.9			−0.472390
$800$	−12175.0	−	18433.5i	−0.538064	−	0.814653i
$801$	17950.0			0.791801
$802$	−30879.3	−	10033.3i	−1.35958	−	0.441755i
$803$	10649.1	−	14657.2i	0.467994	−	0.644138i
$804$	1741.56	+	1265.32i	0.0763932	+	0.0555029i
$805$	95.4152	−	4277.12i	0.00417757	−	0.187266i
$806$	−205.259	+	149.129i	−0.00897015	+	0.00651719i
$807$			33742.6i			1.47186i
$808$	7420.32	+	10213.2i	0.323077	+	0.444677i
$809$	−7683.37	−	23647.0i	−0.333910	−	1.02767i	−0.967257	−	0.253801i	$-0.918319\pi$
$809$	−7683.37	−	23647.0i	−0.333910	−	1.02767i	0.633347	−	0.773868i	$-0.281681\pi$
$810$	29314.8	−	20315.2i	1.27163	−	0.881241i
$811$	−6258.58	+	19261.9i	−0.270985	+	0.834005i	0.719269	+	0.694731i	$0.244477\pi$
$811$	−6258.58	+	19261.9i	−0.270985	+	0.834005i	−0.990254	+	0.139274i	$0.955523\pi$
$812$	23959.5	−	7784.92i	1.03549	−	0.336450i
$813$	12658.9	−	4113.12i	0.546084	−	0.177433i
$814$	281.527	−	866.452i	0.0121223	−	0.0373085i
$815$	17553.2	−	12164.4i	0.754431	−	0.522822i
$816$	−2794.01	−	8599.09i	−0.119865	−	0.368907i
$817$	−15093.8	−	20774.8i	−0.646345	−	0.889617i
$818$		−	53339.6i		−	2.27992i
$819$	−220.015	+	159.850i	−0.00938697	+	0.00682003i
$820$	174.240	−	7810.56i	0.00742040	−	0.332630i
$821$	−13725.6	−	9972.20i	−0.583466	−	0.423913i	0.256506	−	0.966543i	$-0.417429\pi$
$821$	−13725.6	−	9972.20i	−0.583466	−	0.423913i	−0.839972	+	0.542630i	$0.817429\pi$
$822$	381.794	−	525.494i	0.0162002	−	0.0222977i
$823$	−29305.8	−	9522.03i	−1.24123	−	0.403301i	−0.386462	−	0.922305i	$-0.626303\pi$
$823$	−29305.8	−	9522.03i	−1.24123	−	0.403301i	−0.854772	+	0.519004i	$0.826303\pi$
$824$	−5821.00			−0.246097
$825$	−42929.7	−	16098.5i	−1.81166	−	0.679368i
$826$	−7563.00			−0.318584
$827$	463.003	+	150.439i	0.0194682	+	0.00632560i	0.318735	−	0.947844i	$-0.396742\pi$
$827$	463.003	+	150.439i	0.0194682	+	0.00632560i	−0.299267	+	0.954169i	$0.596742\pi$
$828$	560.994	−	772.142i	0.0235458	−	0.0324080i
$829$	36246.0	+	26334.2i	1.51855	+	1.10329i	0.962202	+	0.272336i	$0.0877962\pi$
$829$	36246.0	+	26334.2i	1.51855	+	1.10329i	0.556344	+	0.830952i	$0.312204\pi$
$830$	−16482.6	−	23784.3i	−0.689299	−	0.994656i
$831$	25953.9	−	18856.6i	1.08343	−	0.787159i
$832$			13.6077i			0.000567021i
$833$	3287.58	+	4524.96i	0.136744	+	0.188212i
$834$	3648.26	+	11228.2i	0.151473	+	0.466187i
$835$	−7516.12	−	5721.18i	−0.311504	−	0.237113i
$836$	3708.63	−	11414.0i	0.153428	−	0.472203i
$837$	7599.26	−	2469.15i	0.313822	−	0.101967i
$838$	−5633.17	+	1830.33i	−0.232213	+	0.0754506i
$839$	−1969.54	+	6061.61i	−0.0810440	+	0.249428i	−0.983366	−	0.181635i	$-0.941861\pi$
$839$	−1969.54	+	6061.61i	−0.0810440	+	0.249428i	0.902322	+	0.431063i	$0.141861\pi$
$840$	−6944.06	−	23113.5i	−0.285230	−	0.949393i
$841$	8398.18	+	25846.9i	0.344343	+	1.05978i
$842$	15559.1	+	21415.3i	0.636821	+	0.876509i
$843$		−	2154.35i		−	0.0880186i
$844$	−7277.81	+	5287.64i	−0.296816	+	0.215649i
$845$	−14874.1	+	19540.6i	−0.605544	+	0.795525i
$846$	−25821.9	−	18760.7i	−1.04938	−	0.762419i
$847$	−28444.8	+	39150.9i	−1.15392	+	1.58824i
$848$	−10642.6	−	3457.98i	−0.430975	−	0.140032i
$849$	37619.8			1.52074
$850$	−5994.61	−	4777.89i	−0.241898	−	0.192800i
$851$	−68.1091			−0.00274354
$852$	−19239.1	−	6251.16i	−0.773616	−	0.251363i
$853$	−26797.7	+	36883.9i	−1.07566	+	1.48052i	−0.211443	+	0.977390i	$0.567816\pi$
$853$	−26797.7	+	36883.9i	−1.07566	+	1.48052i	−0.864214	+	0.503125i	$0.832184\pi$
$854$	−19403.6	−	14097.6i	−0.777493	−	0.564882i
$855$	7732.93	+	2704.69i	0.309311	+	0.108185i
$856$	−5178.65	+	3762.51i	−0.206779	+	0.150234i
$857$		−	12080.3i		−	0.481512i	−0.970586	−	0.240756i	$-0.922605\pi$
$857$		−	12080.3i		−	0.481512i	0.970586	−	0.240756i	$-0.0773954\pi$
$858$	−535.974	−	737.705i	−0.0213262	−	0.0293530i
$859$	1850.13	+	5694.12i	0.0734874	+	0.226171i	0.981053	−	0.193739i	$-0.0620616\pi$
$859$	1850.13	+	5694.12i	0.0734874	+	0.226171i	−0.907566	+	0.419910i	$0.862062\pi$
$860$	−8307.69	+	23752.3i	−0.329407	+	0.941800i
$861$	8353.36	−	25709.0i	0.330641	−	1.01761i
$862$	44493.2	−	14456.7i	1.75806	−	0.571227i
$863$	24911.2	−	8094.13i	0.982603	−	0.319267i	0.226710	−	0.973962i	$-0.427203\pi$
$863$	24911.2	−	8094.13i	0.982603	−	0.319267i	0.755893	+	0.654695i	$0.227203\pi$
$864$	−4275.82	+	13159.6i	−0.168364	+	0.518171i
$865$	−32065.0	−	715.314i	−1.26040	−	0.0281172i
$866$	594.634	+	1830.09i	0.0233331	+	0.0718119i
$867$	17531.3	+	24129.8i	0.686730	+	0.945203i
$868$			11322.1i			0.442740i
$869$	2247.85	−	1633.16i	0.0877480	−	0.0637527i
$870$	−55222.0	+	16590.5i	−2.15195	+	0.646520i
$871$	−44.2450	−	32.1459i	−0.00172122	−	0.00125054i
$872$	−3624.52	+	4988.72i	−0.140759	+	0.193738i
$873$	9456.66	+	3072.65i	0.366620	+	0.119122i
$874$	−2563.11			−0.0991975
$875$	−27632.6	−	23050.3i	−1.06760	−	0.890563i
$876$	8918.38			0.343977
$877$	33844.1	+	10996.6i	1.30312	+	0.423408i	0.876665	−	0.481102i	$-0.159763\pi$
$877$	33844.1	+	10996.6i	1.30312	+	0.423408i	0.426452	+	0.904510i	$0.359763\pi$
$878$	24687.8	−	33979.8i	0.948943	−	1.30611i
$879$	13958.4	+	10141.4i	0.535615	+	0.389147i
$880$	48478.2	−	14564.5i	1.85705	−	0.557919i
$881$	29165.1	−	21189.7i	1.11532	−	0.810328i	0.131827	−	0.991273i	$-0.457916\pi$
$881$	29165.1	−	21189.7i	1.11532	−	0.810328i	0.983493	+	0.180945i	$0.0579156\pi$
$882$			16732.7i			0.638799i
$883$	−15155.3	−	20859.5i	−0.577595	−	0.794992i	0.415834	−	0.909441i	$-0.363490\pi$
$883$	−15155.3	−	20859.5i	−0.577595	−	0.794992i	−0.993429	+	0.114449i	$0.963490\pi$
$884$	−16.4916	−	50.7559i	−0.000627458	−	0.00193112i
$885$	6057.90	+	135.141i	0.230095	+	0.00513302i
$886$	17845.8	−	54923.8i	0.676685	−	2.08262i
$887$	23107.3	−	7508.02i	0.874710	−	0.284211i	0.162951	−	0.986634i	$-0.447899\pi$
$887$	23107.3	−	7508.02i	0.874710	−	0.284211i	0.711759	+	0.702424i	$0.247899\pi$
$888$	−365.411	+	118.729i	−0.0138090	+	0.00448681i
$889$	−11510.5	+	35425.7i	−0.434253	+	1.33649i
$890$	−15595.3	+	44588.2i	−0.587367	+	1.67933i
$891$	15920.7	+	48998.8i	0.598612	+	1.84234i
$892$	−4068.96	−	5600.45i	−0.152734	−	0.210221i
$893$			30004.7i			1.12438i
$894$	−31617.9	+	22971.7i	−1.18284	+	0.859384i
$895$	8161.39	+	2854.55i	0.304810	+	0.106611i
$896$	30854.9	+	22417.4i	1.15044	+	0.835841i
$897$	−40.0692	+	55.1505i	−0.00149150	+	0.00205287i
$898$	44721.2	+	14530.8i	1.66188	+	0.539977i
$899$	−23175.0			−0.859767
$900$	−2137.77	−	7737.88i	−0.0791768	−	0.286588i
$901$	−2447.97			−0.0905147
$902$	30661.3	+	9962.45i	1.13183	+	0.367753i
$903$	−51177.0	+	70439.1i	−1.88601	+	2.59586i
$904$	−421.648	−	306.345i	−0.0155130	−	0.0112709i
$905$	12312.9	−	16175.8i	0.452258	−	0.594147i
$906$	39200.7	−	28481.0i	1.43748	−	1.04439i
$907$			36442.2i			1.33412i	0.745006	+	0.667058i	$0.232447\pi$
$907$			36442.2i			1.33412i	−0.745006	+	0.667058i	$0.767553\pi$
$908$	9988.39	+	13747.8i	0.365062	+	0.502465i
$909$	4489.92	+	13818.6i	0.163830	+	0.504217i
$910$	−205.918	−	685.402i	−0.00750122	−	0.0249680i
$911$	2590.37	−	7972.35i	0.0942073	−	0.289940i	−0.892839	−	0.450376i	$-0.851290\pi$
$911$	2590.37	−	7972.35i	0.0942073	−	0.289940i	0.987046	+	0.160436i	$0.0512899\pi$
$912$	−24183.6	+	7857.72i	−0.878069	+	0.285302i
$913$	39754.7	−	12917.1i	1.44106	−	0.468229i
$914$	19488.4	−	59979.2i	0.705273	−	2.17061i
$915$	15290.2	+	11638.7i	0.552437	+	0.420508i
$916$	−12.1025	−	37.2476i	−0.000436548	−	0.00134356i
$917$	−31419.2	−	43244.8i	−1.13146	−	1.55733i
$918$			4801.43i			0.172626i
$919$	20993.4	−	15252.6i	0.753546	−	0.547484i	−0.143378	−	0.989668i	$-0.545796\pi$
$919$	20993.4	−	15252.6i	0.753546	−	0.547484i	0.896924	+	0.442185i	$0.145796\pi$
$920$	−1225.66	−	1768.62i	−0.0439225	−	0.0633800i
$921$	−41719.7	−	30311.1i	−1.49263	−	1.08446i
$922$	7580.11	−	10433.1i	0.270757	−	0.372664i
$923$	488.776	+	158.813i	0.0174304	+	0.00566348i
$924$	−40692.0			−1.44877
$925$	−357.060	+	447.988i	−0.0126920	+	0.0159240i
$926$	−22081.7			−0.783640
$927$	−6371.71	−	2070.29i	−0.225755	−	0.0733521i
$928$	23589.1	−	32467.6i	0.834429	−	1.14849i
$929$	−15580.4	−	11319.8i	−0.550243	−	0.399775i	0.277632	−	0.960687i	$-0.410450\pi$
$929$	−15580.4	−	11319.8i	−0.550243	−	0.399775i	−0.827875	+	0.560913i	$0.810450\pi$
$930$	577.951	−	25907.5i	0.0203782	−	0.913484i
$931$	12725.7	−	9245.79i	0.447980	−	0.325476i
$932$			19746.1i			0.693997i
$933$	4294.14	+	5910.38i	0.150679	+	0.207392i
$934$	2570.19	+	7910.22i	0.0900419	+	0.277120i
$935$	9101.44	−	6307.32i	0.318341	−	0.220611i
$936$	−42.2686	+	130.089i	−0.00147606	+	0.00454285i
$937$	−40158.0	+	13048.1i	−1.40011	+	0.454924i	−0.909227	−	0.416300i	$-0.863327\pi$
$937$	−40158.0	+	13048.1i	−1.40011	+	0.454924i	−0.490886	+	0.871224i	$0.663327\pi$
$938$	−6630.80	+	2154.48i	−0.230814	+	0.0749960i
$939$	−12687.4	+	39047.9i	−0.440936	+	1.35706i
$940$	24166.3	−	16747.3i	0.838529	−	0.581102i
$941$	9165.95	+	28209.9i	0.317536	+	0.977276i	0.974698	+	0.223526i	$0.0717568\pi$
$941$	9165.95	+	28209.9i	0.317536	+	0.977276i	−0.657162	+	0.753749i	$0.728243\pi$
$942$	−21403.5	−	29459.3i	−0.740300	−	1.01893i
$943$		−	2410.19i		−	0.0832306i
$944$	−5412.15	+	3932.16i	−0.186600	+	0.135573i
$945$	−502.677	+	22533.2i	−0.0173038	+	0.775667i
$946$	−84007.6	−	61035.1i	−2.88723	−	2.09770i
$947$	9787.82	−	13471.8i	0.335862	−	0.462275i	−0.607365	−	0.794423i	$-0.707773\pi$
$947$	9787.82	−	13471.8i	0.335862	−	0.462275i	0.943227	+	0.332148i	$0.107773\pi$
$948$	1300.79	+	422.652i	0.0445651	+	0.0144801i
$949$	−226.575			−0.00775019
$950$	−13437.0	+	16858.9i	−0.458900	+	0.575763i
$951$	−20556.2			−0.700927
$952$	5543.51	+	1801.20i	0.188725	+	0.0613205i
$953$	8519.53	−	11726.1i	0.289585	−	0.398580i	−0.639294	−	0.768962i	$-0.720773\pi$
$953$	8519.53	−	11726.1i	0.289585	−	0.398580i	0.928879	+	0.370383i	$0.120773\pi$
$954$	−5924.80	−	4304.62i	−0.201072	−	0.146087i
$955$	−20080.8	−	28976.6i	−0.680420	−	0.981844i
$956$	6191.18	−	4498.15i	0.209453	−	0.152176i
$957$		−	83291.6i		−	2.81341i
$958$	26069.9	+	35882.1i	0.879205	+	1.21012i
$959$	227.563	+	700.367i	0.00766256	+	0.0235829i
$960$	−1105.92	−	841.817i	−0.0371808	−	0.0283016i
$961$	−5987.39	+	18427.3i	−0.200980	+	0.618552i
$962$	−10.8358	+	3.52077i	−0.000363161	+	0.000117998i
$963$	−7006.77	+	2276.64i	−0.234465	+	0.0761824i
$964$	−2754.42	+	8477.22i	−0.0920267	+	0.283229i
$965$	10095.4	+	33602.6i	0.336768	+	1.12094i
$966$	2685.51	+	8265.16i	0.0894461	+	0.275287i
$967$	−8361.45	−	11508.6i	−0.278062	−	0.382720i	0.647029	−	0.762466i	$-0.276011\pi$
$967$	−8361.45	−	11508.6i	−0.278062	−	0.382720i	−0.925091	+	0.379746i	$0.876011\pi$
$968$			24340.3i			0.808189i
$969$	−4500.27	+	3269.63i	−0.149194	+	0.108396i
$970$	−15848.7	+	20821.0i	−0.524609	+	0.689197i
$971$	39534.7	+	28723.6i	1.30662	+	0.949315i	0.999997	−	0.00251582i	$-0.000800810\pi$
$971$	39534.7	+	28723.6i	1.30662	+	0.949315i	0.306623	+	0.951831i	$0.400801\pi$
$972$	−9553.32	+	13149.0i	−0.315250	+	0.433904i
$973$	−12729.7	−	4136.13i	−0.419420	−	0.136278i
$974$	11540.1			0.379641
$975$	152.691	+	552.680i	0.00501541	+	0.0181538i
$976$	−21215.0			−0.695775
$977$	6147.43	+	1997.42i	0.201304	+	0.0654075i	0.407933	−	0.913012i	$-0.366250\pi$
$977$	6147.43	+	1997.42i	0.201304	+	0.0654075i	−0.206630	+	0.978419i	$0.566250\pi$
$978$	−25499.3	+	35096.7i	−0.833718	+	1.14751i
$979$	−55203.0	−	40107.4i	−1.80214	−	1.30933i
$980$	−14549.7	−	5088.94i	−0.474257	−	0.165878i
$981$	−5741.71	+	4171.60i	−0.186869	+	0.135768i
$982$			53946.4i			1.75305i
$983$	−10393.3	−	14305.2i	−0.337228	−	0.464155i	0.606401	−	0.795159i	$-0.292613\pi$
$983$	−10393.3	−	14305.2i	−0.337228	−	0.464155i	−0.943629	+	0.331004i	$0.892613\pi$
$984$	−4201.49	−	12930.8i	−0.136116	−	0.418923i
$985$	−8573.55	+	24512.4i	−0.277336	+	0.792925i
$986$	4303.37	−	13244.4i	0.138993	−	0.427776i
$987$	96754.8	−	31437.5i	3.12030	−	1.01385i
$988$	−142.743	+	46.3800i	−0.00459642	+	0.00149347i
$989$	−2398.89	+	7383.02i	−0.0771286	+	0.237377i
$990$	33119.2	+	738.831i	1.06323	+	0.0237188i
$991$	−14449.2	−	44470.1i	−0.463163	−	1.42547i	−0.861278	−	0.508133i	$-0.830336\pi$
$991$	−14449.2	−	44470.1i	−0.463163	−	1.42547i	0.398115	−	0.917335i	$-0.369664\pi$
$992$	10601.5	+	14591.7i	0.339313	+	0.467024i
$993$		−	56798.9i		−	1.81516i
$994$	53004.7	−	38510.2i	1.69136	−	1.22884i
$995$	47238.8	−	14192.1i	1.50510	−	0.452182i
$996$	16646.8	+	12094.6i	0.529592	+	0.384771i
$997$	29838.2	−	41068.8i	0.947830	−	1.30458i	−0.00465464	−	0.999989i	$-0.501482\pi$
$997$	29838.2	−	41068.8i	0.947830	−	1.30458i	0.952485	−	0.304587i	$-0.0985184\pi$
$998$	−34670.9	−	11265.3i	−1.09969	−	0.357311i
$999$	358.819			0.0113639

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	25.4.e.a.4.5	✓	24
3.2	odd	2		225.4.m.a.154.2		24
5.2	odd	4		125.4.d.b.101.3		48
5.3	odd	4		125.4.d.b.101.10		48
5.4	even	2		125.4.e.a.24.2		24
25.6	even	5		125.4.e.a.99.2		24
25.8	odd	20		125.4.d.b.26.10		48
25.12	odd	20		625.4.a.g.1.6		24
25.13	odd	20		625.4.a.g.1.19		24
25.17	odd	20		125.4.d.b.26.3		48
25.19	even	10	inner	25.4.e.a.19.5	yes	24
75.44	odd	10		225.4.m.a.19.2		24

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
25.4.e.a.4.5	✓	24	1.1	even	1	trivial
25.4.e.a.19.5	yes	24	25.19	even	10	inner
125.4.d.b.26.3		48	25.17	odd	20
125.4.d.b.26.10		48	25.8	odd	20
125.4.d.b.101.3		48	5.2	odd	4
125.4.d.b.101.10		48	5.3	odd	4
125.4.e.a.24.2		24	5.4	even	2
125.4.e.a.99.2		24	25.6	even	5
225.4.m.a.19.2		24	75.44	odd	10
225.4.m.a.154.2		24	3.2	odd	2
625.4.a.g.1.6		24	25.12	odd	20
625.4.a.g.1.19		24	25.13	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)

\(f(q)\)	\(=\)	\(q+(3.33666 + 1.08415i) q^{2} +(-3.80499 + 5.23712i) q^{3} +(3.48577 + 2.53256i) q^{4} +(10.7075 - 3.21691i) q^{5} +(-18.3737 + 13.3493i) q^{6} -25.7483i q^{7} +(-7.61219 - 10.4773i) q^{8} +(-4.60602 - 14.1759i) q^{9} +O(q^{10})\)	\(q+(3.33666 + 1.08415i) q^{2} +(-3.80499 + 5.23712i) q^{3} +(3.48577 + 2.53256i) q^{4} +(10.7075 - 3.21691i) q^{5} +(-18.3737 + 13.3493i) q^{6} -25.7483i q^{7} +(-7.61219 - 10.4773i) q^{8} +(-4.60602 - 14.1759i) q^{9} +(39.2150 + 0.874818i) q^{10} +(-17.5092 + 53.8878i) q^{11} +(-26.5266 + 8.61902i) q^{12} +(0.673919 - 0.218969i) q^{13} +(27.9149 - 85.9133i) q^{14} +(-23.8948 + 68.3170i) q^{15} +(-24.6919 - 75.9939i) q^{16} +(-10.2744 - 14.1415i) q^{17} -52.2936i q^{18} +(-39.7708 + 28.8952i) q^{19} +(45.4710 + 15.9041i) q^{20} +(134.847 + 97.9722i) q^{21} +(-116.844 + 160.823i) q^{22} +(14.1339 + 4.59238i) q^{23} +83.8351 q^{24} +(104.303 - 68.8904i) q^{25} +2.48603 q^{26} +(-74.4617 - 24.1941i) q^{27} +(65.2091 - 89.7527i) q^{28} +(183.713 + 133.475i) q^{29} +(-153.794 + 202.045i) q^{30} +(-82.5650 + 59.9870i) q^{31} -176.730i q^{32} +(-215.595 - 296.740i) q^{33} +(-18.9507 - 58.3244i) q^{34} +(-82.8300 - 275.701i) q^{35} +(19.8457 - 61.0788i) q^{36} +(-4.35869 + 1.41622i) q^{37} +(-164.028 + 53.2960i) q^{38} +(-1.41749 + 4.36257i) q^{39} +(-115.212 - 87.6983i) q^{40} +(-50.1161 - 154.241i) q^{41} +(343.722 + 473.093i) q^{42} +522.362i q^{43} +(-197.507 + 143.497i) q^{44} +(-94.9216 - 136.972i) q^{45} +(42.1812 + 30.6464i) q^{46} +(358.757 - 493.787i) q^{47} +(491.942 + 159.842i) q^{48} -319.977 q^{49} +(422.710 - 116.784i) q^{50} +113.155 q^{51} +(2.90368 + 0.943462i) q^{52} +(82.3164 - 113.299i) q^{53} +(-222.223 - 161.455i) q^{54} +(-14.1285 + 633.332i) q^{55} +(-269.773 + 196.001i) q^{56} -318.231i q^{57} +(468.280 + 644.532i) q^{58} +(-25.8715 - 79.6244i) q^{59} +(-256.308 + 177.622i) q^{60} +(82.0453 - 252.509i) q^{61} +(-340.526 + 110.643i) q^{62} +(-365.005 + 118.597i) q^{63} +(-5.93424 + 18.2637i) q^{64} +(6.51161 - 4.51256i) q^{65} +(-397.655 - 1223.86i) q^{66} +(-45.3654 - 62.4401i) q^{67} -75.3146i q^{68} +(-77.8302 + 56.5470i) q^{69} +(22.5251 - 1009.72i) q^{70} +(586.760 + 426.306i) q^{71} +(-113.463 + 156.168i) q^{72} +(-304.100 - 98.8081i) q^{73} -16.0788 q^{74} +(-36.0848 + 808.375i) q^{75} -211.811 q^{76} +(1387.52 + 450.833i) q^{77} +(-9.45932 + 13.0196i) q^{78} +(-39.6719 - 28.8233i) q^{79} +(-508.855 - 734.277i) q^{80} +(735.619 - 534.458i) q^{81} -568.984i q^{82} +(-433.627 - 596.836i) q^{83} +(221.925 + 683.016i) q^{84} +(-155.506 - 118.369i) q^{85} +(-566.317 + 1742.94i) q^{86} +(-1398.05 + 454.255i) q^{87} +(697.881 - 226.755i) q^{88} +(-372.138 + 1145.32i) q^{89} +(-168.224 - 559.936i) q^{90} +(-5.63810 - 17.3523i) q^{91} +(37.6370 + 51.8029i) q^{92} -660.653i q^{93} +(1732.39 - 1258.65i) q^{94} +(-332.895 + 437.336i) q^{95} +(925.557 + 672.457i) q^{96} +(-392.109 + 539.691i) q^{97} +(-1067.65 - 346.901i) q^{98} +844.554 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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