LMFDB - Embedded newform 161.4.o.a.10.26

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [161,4,Mod(5,161)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("161.5"); S:= CuspForms(chi, 4); N := Newforms(S);

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(161, base_ring=CyclotomicField(66)) chi = DirichletCharacter(H, H._module([55, 3])) N = Newforms(chi, 4, names="a")

Level:	$ N $	$=$	$ 161 = 7 \cdot 23 $
Weight:	$ k $	$=$	$ 4 $
Character orbit:	$[\chi]$	$=$	161.o (of order $66$, degree $20$, minimal)

Newform invariants

comment:select newform

sage:traces = [] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(0)] == traces)

gp:f = lf[1] \\ Warning: the index may be different

Self dual:	no
Analytic conductor:	$9.49930751092$
Analytic rank:	$0$
Dimension:	$920$
Relative dimension:	$46$ over $\Q(\zeta_{66})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{66}]$

Embedding invariants

Embedding label			10.26
Character	$\chi$	$=$	161.10
Dual form			161.4.o.a.145.26

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(0.260164 - 0.751695i) q^{2} +(-2.18492 - 4.23815i) q^{3} +(5.79107 + 4.55414i) q^{4} +(-16.2670 + 1.55331i) q^{5} +(-3.75423 + 0.539777i) q^{6} +(7.75170 + 16.8200i) q^{7} +(10.2833 - 6.60868i) q^{8} +(2.47349 - 3.47352i) q^{9} +(-3.06447 + 12.6319i) q^{10} +(26.8873 - 9.30578i) q^{11} +(6.64814 - 34.4938i) q^{12} +(16.1599 + 55.0355i) q^{13} +(14.6602 - 1.45097i) q^{14} +(42.1251 + 65.5479i) q^{15} +(11.6028 + 47.8275i) q^{16} +(15.6688 + 6.27284i) q^{17} +(-1.96752 - 2.76299i) q^{18} +(101.840 - 40.7705i) q^{19} +(-101.277 - 65.0867i) q^{20} +(54.3487 - 69.6031i) q^{21} -22.6321i q^{22} +(48.1574 - 99.2364i) q^{23} +(-50.4768 - 29.1428i) q^{24} +(139.460 - 26.8787i) q^{25} +(45.5742 + 2.17096i) q^{26} +(-147.557 - 21.2155i) q^{27} +(-31.7099 + 132.708i) q^{28} +(23.1022 + 160.679i) q^{29} +(60.2315 - 14.6120i) q^{30} +(-8.77362 + 0.417939i) q^{31} +(136.318 + 13.0168i) q^{32} +(-98.1858 - 93.6200i) q^{33} +(8.79172 - 10.1462i) q^{34} +(-152.223 - 261.569i) q^{35} +(30.1430 - 8.85080i) q^{36} +(305.016 + 217.201i) q^{37} +(-4.15192 - 87.1595i) q^{38} +(197.941 - 188.736i) q^{39} +(-157.013 + 123.476i) q^{40} +(161.125 + 73.5832i) q^{41} +(-38.1807 - 58.9619i) q^{42} +(-40.9015 + 63.6439i) q^{43} +(198.086 + 68.5582i) q^{44} +(-34.8406 + 60.3457i) q^{45} +(-62.0666 - 62.0174i) q^{46} +(7.90111 - 4.56171i) q^{47} +(177.349 - 153.674i) q^{48} +(-222.822 + 260.767i) q^{49} +(16.0779 - 111.824i) q^{50} +(-7.64980 - 80.1123i) q^{51} +(-157.057 + 392.309i) q^{52} +(35.0779 + 36.7886i) q^{53} +(-54.3366 + 105.398i) q^{54} +(-422.919 + 193.141i) q^{55} +(190.871 + 121.736i) q^{56} +(-395.303 - 342.532i) q^{57} +(126.792 + 24.4372i) q^{58} +(-266.213 - 64.5825i) q^{59} +(-54.5655 + 571.436i) q^{60} +(-447.793 - 230.853i) q^{61} +(-1.96842 + 6.70382i) q^{62} +(77.5983 + 14.6782i) q^{63} +(-118.307 + 259.056i) q^{64} +(-348.359 - 870.159i) q^{65} +(-95.9181 + 49.4492i) q^{66} +(-42.2677 - 219.306i) q^{67} +(62.1716 + 107.684i) q^{68} +(-525.799 + 12.7249i) q^{69} +(-236.223 + 46.3746i) q^{70} +(-49.6122 - 57.2556i) q^{71} +(2.48020 - 52.0658i) q^{72} +(-650.276 + 826.893i) q^{73} +(242.623 - 172.771i) q^{74} +(-418.624 - 532.324i) q^{75} +(775.436 + 227.689i) q^{76} +(364.945 + 380.107i) q^{77} +(-90.3749 - 197.893i) q^{78} +(197.964 - 207.619i) q^{79} +(-263.033 - 759.985i) q^{80} +(194.829 + 562.921i) q^{81} +(97.2309 - 101.973i) q^{82} +(212.228 + 464.714i) q^{83} +(631.719 - 155.565i) q^{84} +(-264.627 - 77.7015i) q^{85} +(37.1997 + 47.3033i) q^{86} +(630.506 - 448.981i) q^{87} +(214.991 - 273.384i) q^{88} +(62.2067 - 1305.88i) q^{89} +(36.2973 + 41.8893i) q^{90} +(-800.429 + 698.428i) q^{91} +(730.820 - 355.368i) q^{92} +(20.9409 + 36.2707i) q^{93} +(-1.37343 - 7.12602i) q^{94} +(-1593.30 + 821.401i) q^{95} +(-242.676 - 606.176i) q^{96} +(434.963 - 952.435i) q^{97} +(138.047 + 235.336i) q^{98} +(34.1814 - 116.411i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 920 q - 11 q^{2} - 27 q^{3} + 157 q^{4} - 33 q^{5} - 22 q^{7} - 104 q^{8} - 359 q^{9} - 33 q^{10} - 11 q^{11} - 75 q^{12} - 22 q^{14} - 44 q^{15} + 1157 q^{16} - 33 q^{17} + 179 q^{18} - 33 q^{19} - 1342 q^{21}+ \cdots + 23056 q^{99}+O(q^{100}) $ 920 * q - 11 * q^2 - 27 * q^3 + 157 * q^4 - 33 * q^5 - 22 * q^7 - 104 * q^8 - 359 * q^9 - 33 * q^10 - 11 * q^11 - 75 * q^12 - 22 * q^14 - 44 * q^15 + 1157 * q^16 - 33 * q^17 + 179 * q^18 - 33 * q^19 - 1342 * q^21 - 494 * q^23 - 570 * q^24 + 1269 * q^25 - 609 * q^26 + 682 * q^28 - 348 * q^29 + 1485 * q^30 + 105 * q^31 - 1017 * q^32 - 33 * q^33 + 966 * q^35 + 4354 * q^36 - 1199 * q^37 - 33 * q^38 + 5 * q^39 - 33 * q^40 - 3652 * q^42 - 3476 * q^43 + 3388 * q^44 + 477 * q^46 - 1188 * q^47 - 1408 * q^49 - 3234 * q^50 + 649 * q^51 + 1911 * q^52 - 11 * q^53 - 1659 * q^54 + 9361 * q^56 + 7612 * q^57 - 4198 * q^58 - 915 * q^59 - 11 * q^60 - 33 * q^61 - 2112 * q^63 - 5064 * q^64 - 4323 * q^65 + 858 * q^66 - 11 * q^67 - 2478 * q^70 + 1732 * q^71 - 9181 * q^72 - 3987 * q^73 + 2354 * q^74 + 2871 * q^75 + 2164 * q^77 - 24268 * q^78 + 1837 * q^79 + 12144 * q^80 + 3035 * q^81 + 5823 * q^82 + 11330 * q^84 + 13676 * q^85 + 5225 * q^86 - 24657 * q^87 - 12342 * q^88 - 33 * q^89 + 9810 * q^92 - 1440 * q^93 - 15858 * q^94 - 4187 * q^95 + 2439 * q^96 - 11284 * q^98 + 23056 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/161\mathbb{Z}\right)^\times$.

$n$	$24$	$120$
$\chi(n)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{3}{22}\right)$

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 $

$2$	0.260164	−	0.751695i	0.0919819	−	0.265764i	−0.889621	−	0.456700i	$-0.849031\pi$
$2$	0.260164	−	0.751695i	0.0919819	−	0.265764i	0.981602	+	0.190936i	$0.0611523\pi$
$3$	−2.18492	−	4.23815i	−0.420488	−	0.815632i	−1.00000		0.000668761i	$-0.999787\pi$
$3$	−2.18492	−	4.23815i	−0.420488	−	0.815632i	0.579512	−	0.814964i	$-0.303243\pi$
$4$	5.79107	+	4.55414i	0.723883	+	0.569268i
$5$	−16.2670	+	1.55331i	−1.45496	+	0.138932i	−0.792366	−	0.610046i	$-0.791151\pi$
$5$	−16.2670	+	1.55331i	−1.45496	+	0.138932i	−0.662595	+	0.748978i	$0.730545\pi$
$6$	−3.75423	+	0.539777i	−0.255443	+	0.0367272i
$7$	7.75170	+	16.8200i	0.418553	+	0.908193i
$7$	7.75170	+	16.8200i	0.418553	+	0.908193i
$8$	10.2833	−	6.60868i	0.454462	−	0.292065i
$9$	2.47349	−	3.47352i	0.0916106	−	0.128649i
$10$	−3.06447	+	12.6319i	−0.0969069	+	0.399456i
$11$	26.8873	−	9.30578i	0.736984	−	0.255072i	0.0673141	−	0.997732i	$-0.478557\pi$
$11$	26.8873	−	9.30578i	0.736984	−	0.255072i	0.669669	+	0.742659i	$0.266436\pi$
$12$	6.64814	−	34.4938i	0.159929	−	0.829793i
$13$	16.1599	+	55.0355i	0.344765	+	1.17416i	0.931304	+	0.364242i	$0.118672\pi$
$13$	16.1599	+	55.0355i	0.344765	+	1.17416i	−0.586539	+	0.809921i	$0.699510\pi$
$14$	14.6602	−	1.45097i	0.279864	−	0.0276991i
$15$	42.1251	+	65.5479i	0.725110	+	1.12829i
$16$	11.6028	+	47.8275i	0.181294	+	0.747305i
$17$	15.6688	+	6.27284i	0.223543	+	0.0894933i	0.480731	−	0.876868i	$-0.340371\pi$
$17$	15.6688	+	6.27284i	0.223543	+	0.0894933i	−0.257187	+	0.966362i	$0.582796\pi$
$18$	−1.96752	−	2.76299i	−0.0257638	−	0.0361802i
$19$	101.840	−	40.7705i	1.22967	−	0.492284i	0.336361	−	0.941733i	$-0.390804\pi$
$19$	101.840	−	40.7705i	1.22967	−	0.492284i	0.893306	+	0.449449i	$0.148380\pi$
$20$	−101.277	−	65.0867i	−1.13231	−	0.727692i
$21$	54.3487	−	69.6031i	0.564755	−	0.723269i
$22$		−	22.6321i		−	0.219326i
$23$	48.1574	−	99.2364i	0.436588	−	0.899662i
$23$	48.1574	−	99.2364i	0.436588	−	0.899662i
$24$	−50.4768	−	29.1428i	−0.429314	−	0.247864i
$25$	139.460	−	26.8787i	1.11568	−	0.215029i
$26$	45.5742	+	2.17096i	0.343763	+	0.0163754i
$27$	−147.557	−	21.2155i	−1.05175	−	0.151219i
$28$	−31.7099	+	132.708i	−0.214022	+	0.895694i
$29$	23.1022	+	160.679i	0.147930	+	1.02887i	0.919601	+	0.392853i	$0.128512\pi$
$29$	23.1022	+	160.679i	0.147930	+	1.02887i	−0.771671	+	0.636021i	$0.780579\pi$
$30$	60.2315	−	14.6120i	0.366557	−	0.0889258i
$31$	−8.77362	+	0.417939i	−0.0508319	+	0.00242142i	−0.0729824	−	0.997333i	$-0.523252\pi$
$31$	−8.77362	+	0.417939i	−0.0508319	+	0.00242142i	0.0221506	+	0.999755i	$0.492949\pi$
$32$	136.318	+	13.0168i	0.753057	+	0.0719082i
$33$	−98.1858	−	93.6200i	−0.517938	−	0.493853i
$34$	8.79172	−	10.1462i	0.0443461	−	0.0511781i
$35$	−152.223	−	261.569i	−0.735154	−	1.26323i
$36$	30.1430	−	8.85080i	0.139551	−	0.0409759i
$37$	305.016	+	217.201i	1.35525	+	0.965072i	0.999535	+	0.0304783i	$0.00970303\pi$
$37$	305.016	+	217.201i	1.35525	+	0.965072i	0.355718	+	0.934593i	$0.384236\pi$
$38$	−4.15192	−	87.1595i	−0.0177245	−	0.372083i
$39$	197.941	−	188.736i	0.812715	−	0.774923i
$40$	−157.013	+	123.476i	−0.620648	+	0.488083i
$41$	161.125	+	73.5832i	0.613742	+	0.280287i	0.697933	−	0.716163i	$-0.254103\pi$
$41$	161.125	+	73.5832i	0.613742	+	0.280287i	−0.0841907	+	0.996450i	$0.526831\pi$
$42$	−38.1807	−	58.9619i	−0.140272	−	0.216619i
$43$	−40.9015	+	63.6439i	−0.145056	+	0.225712i	−0.906177	−	0.422898i	$-0.861013\pi$
$43$	−40.9015	+	63.6439i	−0.145056	+	0.225712i	0.761121	+	0.648610i	$0.224649\pi$
$44$	198.086	+	68.5582i	0.678695	+	0.234898i
$45$	−34.8406	+	60.3457i	−0.115416	+	0.199907i
$46$	−62.0666	−	62.0174i	−0.198940	−	0.198782i
$47$	7.90111	−	4.56171i	0.0245212	−	0.0141573i	−0.487689	−	0.873017i	$-0.662160\pi$
$47$	7.90111	−	4.56171i	0.0245212	−	0.0141573i	0.512210	+	0.858860i	$0.328827\pi$
$48$	177.349	−	153.674i	0.533294	−	0.462102i
$49$	−222.822	+	260.767i	−0.649627	+	0.760253i
$50$	16.0779	−	111.824i	0.0454751	−	0.316286i
$51$	−7.64980	−	80.1123i	−0.0210036	−	0.219960i
$52$	−157.057	+	392.309i	−0.418843	+	1.04622i
$53$	35.0779	+	36.7886i	0.0909117	+	0.0953454i	0.767618	−	0.640908i	$-0.221442\pi$
$53$	35.0779	+	36.7886i	0.0909117	+	0.0953454i	−0.676706	+	0.736253i	$0.736593\pi$
$54$	−54.3366	+	105.398i	−0.136931	+	0.265609i
$55$	−422.919	+	193.141i	−1.03684	+	0.473511i
$56$	190.871	+	121.736i	0.455468	+	0.290495i
$57$	−395.303	−	342.532i	−0.918583	−	0.795957i
$58$	126.792	+	24.4372i	0.287045	+	0.0553234i
$59$	−266.213	−	64.5825i	−0.587423	−	0.142507i	−0.0689780	−	0.997618i	$-0.521974\pi$
$59$	−266.213	−	64.5825i	−0.587423	−	0.142507i	−0.518445	+	0.855111i	$0.673489\pi$
$60$	−54.5655	+	571.436i	−0.117406	+	1.22953i
$61$	−447.793	−	230.853i	−0.939902	−	0.484553i	−0.0810118	−	0.996713i	$-0.525815\pi$
$61$	−447.793	−	230.853i	−0.939902	−	0.484553i	−0.858890	+	0.512160i	$0.828845\pi$
$62$	−1.96842	+	6.70382i	−0.00403209	+	0.0137320i
$63$	77.5983	+	14.6782i	0.155182	+	0.0293536i
$64$	−118.307	+	259.056i	−0.231068	+	0.505969i
$65$	−348.359	−	870.159i	−0.664748	−	1.66046i
$66$	−95.9181	+	49.4492i	−0.178889	+	0.0922239i
$67$	−42.2677	−	219.306i	−0.0770720	−	0.399887i	−0.999893	−	0.0146573i	$-0.995334\pi$
$67$	−42.2677	−	219.306i	−0.0770720	−	0.399887i	0.922821	−	0.385230i	$-0.125878\pi$
$68$	62.1716	+	107.684i	0.110874	+	0.192039i
$69$	−525.799	+	12.7249i	−0.917373	+	0.0222014i
$70$	−236.223	+	46.3746i	−0.403343	+	0.0791831i
$71$	−49.6122	−	57.2556i	−0.0829280	−	0.0957041i	0.712769	−	0.701399i	$-0.247441\pi$
$71$	−49.6122	−	57.2556i	−0.0829280	−	0.0957041i	−0.795697	+	0.605695i	$0.792895\pi$
$72$	2.48020	−	52.0658i	0.00405964	−	0.0852224i
$73$	−650.276	+	826.893i	−1.04259	+	1.32576i	−0.0988384	+	0.995103i	$0.531513\pi$
$73$	−650.276	+	826.893i	−1.04259	+	1.32576i	−0.943751	+	0.330657i	$0.892730\pi$
$74$	242.623	−	172.771i	0.381140	−	0.271409i
$75$	−418.624	−	532.324i	−0.644514	−	0.819567i
$76$	775.436	+	227.689i	1.17038	+	0.343654i
$77$	364.945	+	380.107i	0.540121	+	0.562562i
$78$	−90.3749	−	197.893i	−0.131192	−	0.287270i
$79$	197.964	−	207.619i	0.281933	−	0.295683i	−0.567506	−	0.823369i	$-0.692092\pi$
$79$	197.964	−	207.619i	0.281933	−	0.295683i	0.849439	+	0.527686i	$0.176940\pi$
$80$	−263.033	−	759.985i	−0.367600	−	1.06211i
$81$	194.829	+	562.921i	0.267255	+	0.772182i
$82$	97.2309	−	101.973i	0.130943	−	0.137329i
$83$	212.228	+	464.714i	0.280663	+	0.614566i	0.996490	−	0.0837114i	$-0.0266774\pi$
$83$	212.228	+	464.714i	0.280663	+	0.614566i	−0.715827	+	0.698278i	$0.753950\pi$
$84$	631.719	−	155.565i	0.820550	−	0.202065i
$85$	−264.627	−	77.7015i	−0.337680	−	0.0991519i
$86$	37.1997	+	47.3033i	0.0466436	+	0.0593122i
$87$	630.506	−	448.981i	0.776981	−	0.553286i
$88$	214.991	−	273.384i	0.260434	−	0.331168i
$89$	62.2067	−	1305.88i	0.0740888	−	1.55531i	−0.589841	−	0.807519i	$-0.700810\pi$
$89$	62.2067	−	1305.88i	0.0740888	−	1.55531i	0.663930	−	0.747795i	$-0.268887\pi$
$90$	36.2973	+	41.8893i	0.0425119	+	0.0490613i
$91$	−800.429	+	698.428i	−0.922063	+	0.804562i
$92$	730.820	−	355.368i	0.828187	−	0.402714i
$93$	20.9409	+	36.2707i	0.0233492	+	0.0404420i
$94$	−1.37343	−	7.12602i	−0.00150700	−	0.00781907i
$95$	−1593.30	+	821.401i	−1.72072	+	0.887094i
$96$	−242.676	−	606.176i	−0.258001	−	0.644454i
$97$	434.963	−	952.435i	0.455297	−	0.996960i	−0.533238	−	0.845965i	$-0.679025\pi$
$97$	434.963	−	952.435i	0.455297	−	0.996960i	0.988535	−	0.150995i	$-0.0482478\pi$
$98$	138.047	+	235.336i	0.142294	+	0.242577i
$99$	34.1814	−	116.411i	0.0347006	−	0.118180i
$100$	930.030	+	479.464i	0.930030	+	0.479464i
$101$	−56.2062	+	588.618i	−0.0553735	+	0.579898i	0.924623	+	0.380883i	$0.124380\pi$
$101$	−56.2062	+	588.618i	−0.0553735	+	0.579898i	−0.979997	+	0.199014i	$0.936226\pi$
$102$	−62.2102	−	15.0920i	−0.0603895	−	0.0146503i
$103$	330.414	+	63.6822i	0.316085	+	0.0609203i	0.344826	−	0.938667i	$-0.387938\pi$
$103$	330.414	+	63.6822i	0.316085	+	0.0609203i	−0.0287416	+	0.999587i	$0.509150\pi$
$104$	529.890	+	459.152i	0.499615	+	0.432919i
$105$	−775.972	+	1216.65i	−0.721211	+	1.13079i
$106$	36.7798	−	16.7968i	0.0337016	−	0.0153910i
$107$	−317.214	+	615.310i	−0.286601	+	0.555928i	−0.987554	−	0.157279i	$-0.949728\pi$
$107$	−317.214	+	615.310i	−0.286601	+	0.555928i	0.700953	+	0.713207i	$0.252758\pi$
$108$	−757.893	−	794.855i	−0.675262	−	0.708194i
$109$	634.564	−	1585.07i	0.557617	−	1.39286i	−0.335075	−	0.942192i	$-0.608762\pi$
$109$	634.564	−	1585.07i	0.557617	−	1.39286i	0.892692	−	0.450668i	$-0.148814\pi$
$110$	35.1545	+	368.155i	0.0304714	+	0.319111i
$111$	254.095	−	1767.27i	0.217276	−	1.51119i
$112$	−714.515	+	565.904i	−0.602816	+	0.477437i
$113$	−1267.10	+	1097.95i	−1.05486	+	0.914041i	−0.996444	−	0.0842518i	$-0.973150\pi$
$113$	−1267.10	+	1097.95i	−1.05486	+	0.914041i	−0.0584146	+	0.998292i	$0.518605\pi$
$114$	−360.324	+	208.033i	−0.296030	+	0.170913i
$115$	−629.230	+	1689.08i	−0.510226	+	1.36963i
$116$	−597.970	+	1035.71i	−0.478621	+	0.828997i
$117$	231.139	+	79.9978i	0.182639	+	0.0632120i
$118$	−117.805	+	183.309i	−0.0919056	+	0.143008i
$119$	15.9510	+	312.174i	0.0122876	+	0.240478i
$120$	866.371	+	395.658i	0.659071	+	0.300988i
$121$	−409.909	+	322.356i	−0.307970	+	0.242191i
$122$	−290.031	+	276.544i	−0.215231	+	0.205222i
$123$	−40.1877	−	843.644i	−0.0294602	−	0.618445i
$124$	−52.7119	−	37.5360i	−0.0381748	−	0.0271841i
$125$	−266.958	+	78.3859i	−0.191020	+	0.0560884i
$126$	31.2218	−	54.5115i	0.0220751	−	0.0385418i
$127$	1123.95	−	1297.11i	0.785310	−	0.906296i	−0.212171	−	0.977233i	$-0.568053\pi$
$127$	1123.95	−	1297.11i	0.785310	−	0.906296i	0.997481	+	0.0709366i	$0.0225988\pi$
$128$	956.805	+	912.312i	0.660707	+	0.629982i
$129$	359.099	+	34.2898i	0.245092	+	0.0234035i
$130$	−744.725	+	35.4756i	−0.502436	+	0.0239340i
$131$	1773.52	−	430.252i	1.18285	−	0.286957i	0.404353	−	0.914603i	$-0.367497\pi$
$131$	1773.52	−	430.252i	1.18285	−	0.286957i	0.778498	+	0.627647i	$0.215982\pi$
$132$	−142.242	−	989.311i	−0.0937919	−	0.652337i
$133$	1475.19	+	1396.90i	0.961769	+	0.910727i
$134$	−175.847	−	25.2830i	−0.113365	−	0.0162994i
$135$	2433.25	+	115.910i	1.55127	+	0.0738960i
$136$	202.582	−	39.0445i	0.127730	−	0.0246179i
$137$	−2565.10	−	1480.96i	−1.59965	−	0.923556i	−0.991555	−	0.129688i	$-0.958602\pi$
$137$	−2565.10	−	1480.96i	−1.59965	−	0.923556i	−0.608091	−	0.793868i	$-0.708064\pi$
$138$	−127.229	+	398.551i	−0.0784814	+	0.245847i
$139$		−	1407.28i		−	0.858736i	−0.903130	−	0.429368i	$-0.858736\pi$
$139$		−	1407.28i		−	0.858736i	0.903130	−	0.429368i	$-0.141264\pi$
$140$	309.687	−	2208.01i	0.186953	−	1.33293i
$141$	−36.5965	−	23.5191i	−0.0218580	−	0.0140473i
$142$	−55.9461	+	22.3974i	−0.0330626	+	0.0132363i
$143$	946.644	+	1329.38i	0.553583	+	0.777398i
$144$	194.830	+	77.9980i	0.112749	+	0.0451377i
$145$	−625.386	−	2577.87i	−0.358176	−	1.47642i
$146$	452.393	+	703.937i	0.256440	+	0.399029i
$147$	1592.02	+	374.600i	0.893247	+	0.210180i
$148$	777.204	+	2646.91i	0.431661	+	1.47010i
$149$	575.910	−	2988.10i	0.316647	−	1.64292i	−0.379625	−	0.925140i	$-0.623947\pi$
$149$	575.910	−	2988.10i	0.316647	−	1.64292i	0.696272	−	0.717778i	$-0.254841\pi$
$150$	−509.056	+	176.186i	−0.277095	+	0.0959036i
$151$	326.646	−	1346.45i	0.176040	−	0.725647i	−0.813521	−	0.581535i	$-0.802452\pi$
$151$	326.646	−	1346.45i	0.176040	−	0.725647i	0.989561	−	0.144112i	$-0.0460326\pi$
$152$	777.812	−	1092.28i	0.415058	−	0.582868i
$153$	60.5454	−	38.9101i	0.0319922	−	0.0205601i
$154$	380.670	−	175.437i	0.199190	−	0.0917995i
$155$	142.071	−	20.4267i	0.0736219	−	0.0105852i
$156$	2005.82	−	191.533i	1.02945	−	0.0983005i
$157$	2132.36	+	1676.91i	1.08396	+	0.852432i	0.989706	−	0.143117i	$-0.0457124\pi$
$157$	2132.36	+	1676.91i	1.08396	+	0.852432i	0.0942495	+	0.995549i	$0.469955\pi$
$158$	−104.563	−	202.824i	−0.0526492	−	0.102125i
$159$	79.2734	−	229.046i	0.0395396	−	0.114242i
$160$	−2237.70			−1.10566
$161$	2042.45	+	40.7552i	0.999801	+	0.0199501i
$162$	473.832			0.229801
$163$	−278.201	+	803.809i	−0.133683	+	0.386253i	−0.991898	−	0.127039i	$-0.959453\pi$
$163$	−278.201	+	803.809i	−0.133683	+	0.386253i	0.858214	+	0.513291i	$0.171574\pi$
$164$	597.975	+	1159.91i	0.284720	+	0.552279i
$165$	1742.60	+	1370.40i	0.822191	+	0.646578i
$166$	404.537	−	38.6286i	0.189146	−	0.0180612i
$167$	−1657.54	+	238.318i	−0.768048	+	0.110429i	−0.515191	−	0.857075i	$-0.672279\pi$
$167$	−1657.54	+	238.318i	−0.768048	+	0.110429i	−0.252857	+	0.967504i	$0.581370\pi$
$168$	98.8994	−	1074.92i	0.0454182	−	0.493644i
$169$	−919.534	+	590.949i	−0.418541	+	0.268980i
$170$	−127.254	+	178.704i	−0.0574115	+	0.0806232i
$171$	110.282	−	454.589i	0.0493186	−	0.203294i
$172$	−526.707	+	182.295i	−0.233494	+	0.0808132i
$173$	381.247	−	1978.10i	0.167547	−	0.869317i	−0.796713	−	0.604358i	$-0.793430\pi$
$173$	381.247	−	1978.10i	0.167547	−	0.869317i	0.964260	−	0.264959i	$-0.0853583\pi$
$174$	−173.462	−	590.757i	−0.0755753	−	0.257386i
$175$	1533.15	+	2137.35i	0.662258	+	0.923250i
$176$	757.041	+	1177.98i	0.324228	+	0.504508i
$177$	307.943	+	1269.36i	0.130771	+	0.539044i
$178$	−965.439	−	386.504i	−0.406532	−	0.162751i
$179$	1774.14	+	2491.43i	0.740813	+	1.04033i	0.997275	+	0.0737717i	$0.0235036\pi$
$179$	1774.14	+	2491.43i	0.740813	+	1.04033i	−0.256462	+	0.966554i	$0.582557\pi$
$180$	−476.587	+	190.797i	−0.197348	+	0.0790064i
$181$	−1424.21	−	915.287i	−0.584868	−	0.375872i	0.214491	−	0.976726i	$-0.431191\pi$
$181$	−1424.21	−	915.287i	−0.584868	−	0.375872i	−0.799358	+	0.600854i	$0.794827\pi$
$182$	316.762	+	783.384i	0.129011	+	0.319057i
$183$			2402.21i			0.970363i
$184$	−160.604	−	1338.74i	−0.0643471	−	0.536375i
$185$	−5299.07	−	3059.42i	−2.10592	−	1.21585i
$186$	32.7126	−	6.30484i	0.0128957	−	0.00248545i
$187$	479.665	+	22.8492i	0.187575	+	0.00893531i
$188$	66.5305	+	9.56565i	0.0258098	+	0.00371089i
$189$	−786.974	−	2646.36i	−0.302878	−	1.01849i
$190$	202.924	+	1411.37i	0.0774826	+	0.538903i
$191$	1990.61	−	482.917i	0.754113	−	0.182946i	0.159766	−	0.987155i	$-0.448926\pi$
$191$	1990.61	−	482.917i	0.754113	−	0.182946i	0.594346	+	0.804209i	$0.297411\pi$
$192$	1356.41	−	64.6137i	0.509846	−	0.0242870i
$193$	−2796.08	−	266.993i	−1.04283	−	0.0995783i	−0.440442	−	0.897781i	$-0.645178\pi$
$193$	−2796.08	−	266.993i	−1.04283	−	0.0995783i	−0.602389	+	0.798203i	$0.705784\pi$
$194$	−602.779	−	574.749i	−0.223077	−	0.212704i
$195$	−2926.73	+	3377.63i	−1.07481	+	1.24039i
$196$	−2477.95	+	495.353i	−0.903042	+	0.180522i
$197$	−4496.72	+	1320.36i	−1.62629	+	0.477521i	−0.962698	−	0.270578i	$-0.912785\pi$
$197$	−4496.72	+	1320.36i	−1.62629	+	0.477521i	−0.663588	+	0.748099i	$0.730967\pi$
$198$	−78.6130	−	55.9801i	−0.0282161	−	0.0200926i
$199$	−147.897	−	3104.75i	−0.0526843	−	1.10598i	−0.858171	−	0.513365i	$-0.828399\pi$
$199$	−147.897	−	3104.75i	−0.0526843	−	1.10598i	0.805486	−	0.592614i	$-0.201904\pi$
$200$	1256.48	−	1198.05i	0.444231	−	0.423574i
$201$	−837.099	+	658.302i	−0.293753	+	0.231010i
$202$	427.838	+	195.387i	0.149023	+	0.0680564i
$203$	−2523.54	+	1634.11i	−0.872500	+	0.564987i
$204$	320.543	−	498.774i	0.110012	−	0.171182i
$205$	−2735.30	−	946.698i	−0.931912	−	0.322538i
$206$	133.832	−	231.803i	0.0452645	−	0.0784004i
$207$	−225.583	−	412.736i	−0.0757445	−	0.138585i
$208$	−2444.71	+	1411.46i	−0.814954	+	0.470514i
$209$	2358.80	−	2043.91i	0.780676	−	0.676460i
$210$	712.670	+	899.823i	0.234185	+	0.295684i
$211$	−105.529	+	733.967i	−0.0344307	+	0.239471i	−0.999768	−	0.0215342i	$-0.993145\pi$
$211$	−105.529	+	733.967i	−0.0344307	+	0.239471i	0.965337	+	0.261005i	$0.0840540\pi$
$212$	35.5976	+	372.795i	0.0115323	+	0.120772i
$213$	−134.259	+	335.363i	−0.0431891	+	0.107881i
$214$	379.998	+	398.530i	0.121384	+	0.127304i
$215$	566.484	−	1098.83i	0.179692	−	0.348555i
$216$	−1657.58	+	756.991i	−0.522148	+	0.238457i
$217$	−75.0402	−	144.332i	−0.0234749	−	0.0451516i
$218$	−1026.39	−	889.376i	−0.318882	−	0.276313i
$219$	4925.30	+	949.273i	1.51973	+	0.292904i
$220$	−3328.74	−	807.545i	−1.02011	−	0.247476i
$221$	−92.0230	+	963.709i	−0.0280097	+	0.293331i
$222$	−1262.34	−	650.783i	−0.381635	−	0.196746i
$223$	−1779.06	+	6058.93i	−0.534237	+	1.81944i	0.0378966	+	0.999282i	$0.487934\pi$
$223$	−1779.06	+	6058.93i	−0.534237	+	1.81944i	−0.572133	+	0.820161i	$0.693884\pi$
$224$	837.754	+	2393.76i	0.249888	+	0.714018i
$225$	251.588	−	550.901i	0.0745446	−	0.163230i
$226$	495.670	+	1238.12i	0.145891	+	0.364419i
$227$	602.016	−	310.361i	0.176023	−	0.0907462i	−0.367963	−	0.929840i	$-0.619945\pi$
$227$	602.016	−	310.361i	0.176023	−	0.0907462i	0.543986	+	0.839094i	$0.316914\pi$
$228$	−729.286	−	3783.90i	−0.211834	−	1.09910i
$229$	2199.28	+	3809.27i	0.634640	+	1.09923i	0.986591	+	0.163210i	$0.0521849\pi$
$229$	2199.28	+	3809.27i	0.634640	+	1.09923i	−0.351951	+	0.936018i	$0.614482\pi$
$230$	1105.97	+	912.426i	0.317067	+	0.261581i
$231$	813.577	−	2377.20i	0.231729	−	0.677091i
$232$	1299.44	+	1499.64i	0.367727	+	0.424380i
$233$	224.592	−	4714.77i	0.0631482	−	1.32564i	−0.715689	−	0.698419i	$-0.753887\pi$
$233$	224.592	−	4714.77i	0.0631482	−	1.32564i	0.778838	−	0.627226i	$-0.215810\pi$
$234$	120.268	−	152.933i	0.0335990	−	0.0427246i
$235$	−121.441	+	86.4779i	−0.0337104	+	0.0240051i
$236$	−1247.54	−	1586.37i	−0.344101	−	0.437560i
$237$	−1312.46	−	385.372i	−0.359718	−	0.105623i
$238$	238.809	+	69.2261i	0.0650407	+	0.0188540i
$239$	−605.463	−	1325.78i	−0.163867	−	0.358818i	0.809831	−	0.586664i	$-0.199559\pi$
$239$	−605.463	−	1325.78i	−0.163867	−	0.358818i	−0.973697	+	0.227846i	$0.926832\pi$
$240$	−2646.23	+	2775.28i	−0.711721	+	0.746432i
$241$	−629.819	−	1819.74i	−0.168341	−	0.486390i	0.829001	−	0.559247i	$-0.188910\pi$
$241$	−629.819	−	1819.74i	−0.168341	−	0.486390i	−0.997342	+	0.0728568i	$0.976788\pi$
$242$	135.670	+	391.991i	0.0360379	+	0.104125i
$243$	−817.513	+	857.382i	−0.215817	+	0.226342i
$244$	−1541.86	−	3376.20i	−0.404539	−	0.885816i
$245$	3219.59	−	4587.99i	0.839559	−	1.19639i
$246$	−644.618	−	189.277i	−0.167070	−	0.0490563i
$247$	3889.55	+	4945.96i	1.00197	+	1.27411i
$248$	−87.4598	+	62.2798i	−0.0223940	+	0.0159467i
$249$	1505.83	−	1914.82i	0.383245	−	0.487335i
$250$	−10.5306	+	221.064i	−0.00266405	+	0.0559253i
$251$	−2744.07	−	3166.83i	−0.690057	−	0.796369i	0.297316	−	0.954779i	$-0.403908\pi$
$251$	−2744.07	−	3166.83i	−0.690057	−	0.796369i	−0.987373	+	0.158411i	$0.949363\pi$
$252$	382.530	+	438.396i	0.0956235	+	0.109589i
$253$	371.351	−	3116.34i	0.0922792	−	0.774397i
$254$	−682.617	−	1182.33i	−0.168627	−	0.292070i
$255$	248.878	+	1291.30i	0.0611190	+	0.317115i
$256$	−1090.36	+	562.120i	−0.266201	+	0.137236i
$257$	−591.327	−	1477.06i	−0.143525	−	0.358509i	0.839135	−	0.543923i	$-0.183062\pi$
$257$	−591.327	−	1477.06i	−0.143525	−	0.358509i	−0.982660	+	0.185414i	$0.940637\pi$
$258$	119.200	−	261.012i	0.0287639	−	0.0629841i
$259$	−1288.92	+	6814.04i	−0.309226	+	1.63476i
$260$	1945.46	−	6625.63i	0.464047	−	1.58040i
$261$	615.266	+	317.192i	0.145916	+	0.0752248i
$262$	137.989	−	1445.08i	0.0325381	−	0.340754i
$263$	3872.29	+	939.406i	0.907891	+	0.220252i	0.662403	−	0.749148i	$-0.269537\pi$
$263$	3872.29	+	939.406i	0.907891	+	0.220252i	0.245488	+	0.969400i	$0.421052\pi$
$264$	−1628.38	−	313.844i	−0.379621	−	0.0731659i
$265$	−627.754	−	543.952i	−0.145519	−	0.126093i
$266$	1433.84	−	745.470i	0.330504	−	0.171833i
$267$	−5670.43	+	2589.60i	−1.29972	+	0.593561i
$268$	753.974	−	1462.51i	0.171852	−	0.333346i
$269$	1998.14	+	2095.58i	0.452894	+	0.474982i	0.910106	−	0.414376i	$-0.136000\pi$
$269$	1998.14	+	2095.58i	0.452894	+	0.474982i	−0.457212	+	0.889358i	$0.651152\pi$
$270$	720.174	−	1798.91i	0.162327	−	0.405474i
$271$	−616.033	−	6451.39i	−0.138086	−	1.44610i	−0.753265	−	0.657717i	$-0.771522\pi$
$271$	−616.033	−	6451.39i	−0.138086	−	1.44610i	0.615179	−	0.788387i	$-0.289084\pi$
$272$	−118.212	+	822.182i	−0.0263517	+	0.183280i
$273$	4708.91	+	1866.33i	1.04394	+	0.413756i
$274$	−1780.58	+	1542.88i	−0.392587	+	0.340178i
$275$	3499.57	−	2020.48i	0.767389	−	0.443052i
$276$	−3102.89	−	2320.87i	−0.676709	−	0.506160i
$277$	−1390.41	+	2408.27i	−0.301595	+	0.522378i	−0.976497	−	0.215529i	$-0.930852\pi$
$277$	−1390.41	+	2408.27i	−0.301595	+	0.522378i	0.674902	+	0.737907i	$0.264186\pi$
$278$	−1057.85	−	366.125i	−0.228221	−	0.0789881i
$279$	−20.2497	+	31.5091i	−0.00434522	+	0.00676130i
$280$	−3293.98	−	1683.80i	−0.703047	−	0.359379i
$281$	−2553.85	−	1166.31i	−0.542171	−	0.247601i	0.125453	−	0.992100i	$-0.459962\pi$
$281$	−2553.85	−	1166.31i	−0.542171	−	0.247601i	−0.667624	+	0.744498i	$0.732689\pi$
$282$	−27.2003	+	21.3906i	−0.00574381	+	0.00451698i
$283$	−6871.10	+	6551.58i	−1.44327	+	1.37615i	−0.669091	+	0.743180i	$0.733317\pi$
$283$	−6871.10	+	6551.58i	−1.44327	+	1.37615i	−0.774175	+	0.632972i	$0.781835\pi$
$284$	−26.5576	−	557.512i	−0.00554895	−	0.116487i
$285$	6962.44	+	4957.93i	1.44709	+	1.03046i
$286$	1245.57	−	365.732i	0.257524	−	0.0756159i
$287$	11.3248	+	3280.50i	0.00232920	+	0.674711i
$288$	382.394	−	441.307i	0.0782389	−	0.0902925i
$289$	−3349.54	−	3193.78i	−0.681771	−	0.650068i
$290$	−2100.48	−	200.571i	−0.425325	−	0.0406136i
$291$	−4986.92	+	237.556i	−1.00460	+	0.0478550i
$292$	−7531.58	+	1827.14i	−1.50943	+	0.366183i
$293$	795.517	+	5532.95i	0.158616	+	1.10320i	0.901186	+	0.433433i	$0.142698\pi$
$293$	795.517	+	5532.95i	0.158616	+	1.10320i	−0.742569	+	0.669769i	$0.766393\pi$
$294$	695.770	−	1099.25i	0.138021	−	0.218060i
$295$	4430.79	+	637.051i	0.874476	+	0.125731i
$296$	4571.99	+	217.791i	0.897776	+	0.0427663i
$297$	−4164.83	+	802.705i	−0.813696	+	0.156827i
$298$	−2096.31	−	1210.31i	−0.407503	−	0.235272i
$299$	6239.75	+	1046.72i	1.20687	+	0.202453i
$300$		−	4989.20i		−	0.960172i
$301$	−1387.54	−	194.612i	−0.265704	−	0.0372667i
$302$	−927.140	−	595.837i	−0.176659	−	0.113532i
$303$	2617.46	−	1047.87i	0.496267	−	0.198675i
$304$	3131.58	+	4397.70i	0.590818	+	0.829688i
$305$	7642.81	+	3059.72i	1.43484	+	0.574423i
$306$	−13.4968	−	55.6347i	−0.00252144	−	0.0103935i
$307$	1944.09	+	3025.06i	0.361417	+	0.562375i	0.973577	−	0.228358i	$-0.0733357\pi$
$307$	1944.09	+	3025.06i	0.361417	+	0.562375i	−0.612160	+	0.790734i	$0.709699\pi$
$308$	382.357	+	3863.24i	0.0707364	+	0.714703i
$309$	−452.034	−	1539.49i	−0.0832211	−	0.283425i
$310$	21.6071	−	112.108i	0.00395871	−	0.0205397i
$311$	827.367	−	286.355i	0.150854	−	0.0522112i	−0.250597	−	0.968091i	$-0.580627\pi$
$311$	827.367	−	286.355i	0.150854	−	0.0522112i	0.401452	+	0.915880i	$0.368506\pi$
$312$	788.190	−	3248.96i	0.143021	−	0.589539i
$313$	5305.84	−	7451.01i	0.958159	−	1.34555i	0.0198299	−	0.999803i	$-0.493688\pi$
$313$	5305.84	−	7451.01i	0.958159	−	1.34555i	0.938329	−	0.345743i	$-0.112373\pi$
$314$	1815.29	−	1166.61i	0.326250	−	0.209668i
$315$	−1285.09	−	118.236i	−0.229862	−	0.0211486i
$316$	2091.95	−	300.777i	0.372409	−	0.0535444i
$317$	−9423.58	+	899.842i	−1.66966	+	0.159433i	−0.886606	−	0.462526i	$-0.846943\pi$
$317$	−9423.58	+	899.842i	−1.66966	+	0.159433i	−0.783050	+	0.621959i	$0.786337\pi$
$318$	−151.548	−	119.179i	−0.0267245	−	0.0210164i
$319$	2116.40	+	4105.24i	0.371459	+	0.720531i
$320$	1522.10	−	4397.82i	0.265900	−	0.768267i
$321$	3300.87			0.573945
$322$	562.009	−	1524.70i	0.0972656	−	0.263876i
$323$	1851.45			0.318940
$324$	−1435.36	+	4147.19i	−0.246117	+	0.711109i
$325$	3732.94	+	7240.89i	0.637127	+	1.23585i
$326$	531.841	+	418.245i	0.0903557	+	0.0710565i
$327$	−8104.22	+	773.859i	−1.37053	+	0.130870i
$328$	2143.18	−	308.143i	0.360785	−	0.0518730i
$329$	137.975	+	97.5354i	0.0231210	+	0.0163444i
$330$	1483.48	−	953.378i	0.247464	−	0.159035i
$331$	−5342.78	+	7502.88i	−0.887207	+	1.24591i	0.0812417	+	0.996694i	$0.474111\pi$
$331$	−5342.78	+	7502.88i	−0.887207	+	1.24591i	−0.968449	+	0.249213i	$0.919828\pi$
$332$	−887.350	+	3657.71i	−0.146686	+	0.604647i
$333$	1508.91	−	522.238i	0.248311	−	0.0859413i
$334$	−252.089	+	1307.96i	−0.0412985	+	0.214277i
$335$	1028.22	+	3501.78i	0.167694	+	0.571112i
$336$	3959.54	+	1791.77i	0.642889	+	0.290920i
$337$	351.035	+	546.222i	0.0567422	+	0.0882926i	0.868466	−	0.495750i	$-0.165107\pi$
$337$	351.035	+	546.222i	0.0567422	+	0.0882926i	−0.811723	+	0.584042i	$0.801470\pi$
$338$	204.983	+	844.953i	0.0329870	+	0.135974i
$339$	7421.80	+	2971.24i	1.18908	+	0.476034i
$340$	−1178.61	−	1655.12i	−0.187997	−	0.264005i
$341$	−232.009	+	92.8826i	−0.0368446	+	0.0147504i
$342$	−313.020	−	201.166i	−0.0494918	−	0.0318065i
$343$	−6113.34	−	1726.47i	−0.962359	−	0.271781i
$344$			924.775i			0.144943i
$345$	8533.38	−	1023.72i	1.33166	−	0.159755i
$346$	−1387.74	−	801.211i	−0.215622	−	0.124489i
$347$	−4568.03	+	880.415i	−0.706699	+	0.136205i	−0.529923	−	0.848046i	$-0.677779\pi$
$347$	−4568.03	+	880.415i	−0.706699	+	0.136205i	−0.176776	+	0.984251i	$0.556567\pi$
$348$	5696.03	+	271.335i	0.877411	+	0.0417962i
$349$	12205.2	+	1754.84i	1.87200	+	0.269153i	0.982289	−	0.187374i	$-0.0599975\pi$
$349$	12205.2	+	1754.84i	1.87200	+	0.269153i	0.889710	+	0.456526i	$0.150907\pi$
$350$	2005.51	−	596.398i	0.306283	−	0.0910823i
$351$	−1216.90	−	8463.71i	−0.185052	−	1.28706i
$352$	3786.35	−	918.558i	0.573333	−	0.139089i
$353$	4582.06	−	218.271i	0.690874	−	0.0329104i	0.300791	−	0.953690i	$-0.402749\pi$
$353$	4582.06	−	218.271i	0.690874	−	0.0329104i	0.390083	+	0.920780i	$0.372446\pi$
$354$	1034.29	+	98.7623i	0.155287	+	0.0148281i
$355$	895.975	+	854.311i	0.133953	+	0.127724i
$356$	6307.41	−	7279.14i	0.939022	−	1.08369i
$357$	1288.19	−	749.676i	0.190975	−	0.111140i
$358$	2334.36	−	685.431i	0.344623	−	0.101190i
$359$	−10474.1	−	7458.60i	−1.53984	−	1.09652i	−0.959337	−	0.282262i	$-0.908915\pi$
$359$	−10474.1	−	7458.60i	−1.53984	−	1.09652i	−0.580507	−	0.814256i	$-0.697145\pi$
$360$	40.5288	+	850.804i	0.00593349	+	0.124559i
$361$	3745.03	−	3570.88i	0.546003	−	0.520612i
$362$	−1058.55	+	832.450i	−0.153690	+	0.120864i
$363$	2261.81	+	1032.93i	0.327036	+	0.149352i
$364$	−7816.08	+	399.374i	−1.12548	+	0.0575079i
$365$	9293.59	−	14461.1i	1.33274	−	2.07378i
$366$	1805.73	+	624.969i	0.257888	+	0.0892558i
$367$	2351.72	−	4073.29i	0.334492	−	0.579357i	−0.648895	−	0.760878i	$-0.724769\pi$
$367$	2351.72	−	4073.29i	0.334492	−	0.579357i	0.983387	+	0.181521i	$0.0581020\pi$
$368$	5304.99	+	1151.83i	0.751473	+	0.163161i
$369$	654.132	−	377.663i	0.0922839	−	0.0532801i
$370$	−3678.37	+	3187.33i	−0.516837	+	0.447842i
$371$	−346.870	+	875.183i	−0.0485407	+	0.122472i
$372$	−43.9119	+	305.414i	−0.00612024	+	0.0425672i
$373$	131.123	+	1373.18i	0.0182018	+	0.190618i	1.00000		0.000689707i	$0.000219541\pi$
$373$	131.123	+	1373.18i	0.0182018	+	0.190618i	−0.981798	+	0.189928i	$0.939174\pi$
$374$	141.967	−	354.617i	0.0196282	−	0.0490289i
$375$	915.493	+	960.141i	0.126069	+	0.132217i
$376$	51.1027	−	99.1254i	0.00700910	−	0.0135958i
$377$	−8469.73	+	3868.00i	−1.15706	+	0.528414i
$378$	−2193.99	−	96.9229i	−0.298537	−	0.0131883i
$379$	63.2103	+	54.7720i	0.00856700	+	0.00742335i	0.659134	−	0.752026i	$-0.270923\pi$
$379$	63.2103	+	54.7720i	0.00856700	+	0.00742335i	−0.650567	+	0.759449i	$0.725469\pi$
$380$	−12967.7	−	2499.31i	−1.75060	−	0.337400i
$381$	−7953.07	−	1929.39i	−1.06942	−	0.259438i
$382$	154.879	−	1621.97i	0.0207443	−	0.217244i
$383$	5805.93	+	2993.16i	0.774593	+	0.399330i	0.799735	−	0.600354i	$-0.204974\pi$
$383$	5805.93	+	2993.16i	0.774593	+	0.399330i	−0.0251421	+	0.999684i	$0.508004\pi$
$384$	1775.97	−	6048.41i	0.236015	−	0.803794i
$385$	−6526.97	−	5616.32i	−0.864013	−	0.743465i
$386$	−928.138	+	2032.34i	−0.122386	+	0.267988i
$387$	119.900	+	299.495i	0.0157489	+	0.0393389i
$388$	6856.43	−	3534.73i	0.897119	−	0.462497i
$389$	90.8195	+	471.216i	0.0118374	+	0.0614181i	0.987367	−	0.158450i	$-0.0506496\pi$
$389$	90.8195	+	471.216i	0.0118374	+	0.0614181i	−0.975530	+	0.219868i	$0.929437\pi$
$390$	1777.51	+	3078.74i	0.230789	+	0.399739i
$391$	1377.06	−	1252.83i	0.178110	−	0.162042i
$392$	−568.025	+	4154.11i	−0.0731877	+	0.535240i
$393$	−5698.48	−	6576.39i	−0.731425	−	0.844110i
$394$	−177.380	+	3723.67i	−0.0226810	+	0.476132i
$395$	−2897.78	+	3684.83i	−0.369122	+	0.469376i
$396$	728.101	−	518.478i	0.0923951	−	0.0657942i
$397$	−1770.04	−	2250.79i	−0.223768	−	0.284544i	0.661186	−	0.750222i	$-0.270053\pi$
$397$	−1770.04	−	2250.79i	−0.223768	−	0.284544i	−0.884955	+	0.465677i	$0.845811\pi$
$398$	−2372.30	−	696.571i	−0.298776	−	0.0877285i
$399$	2697.11	−	9304.20i	0.338406	−	1.16740i
$400$	2903.67	+	6358.15i	0.362959	+	0.794769i
$401$	−10779.4	+	11305.1i	−1.34239	+	1.40785i	−0.503036	+	0.864266i	$0.667784\pi$
$401$	−10779.4	+	11305.1i	−1.34239	+	1.40785i	−0.839351	+	0.543589i	$0.817065\pi$
$402$	277.059	+	800.509i	0.0343742	+	0.0993179i
$403$	−164.782	−	476.107i	−0.0203682	−	0.0588501i
$404$	−3006.14	+	3152.75i	−0.370201	+	0.388256i
$405$	−4043.66	−	8854.38i	−0.496126	−	1.08636i
$406$	571.822	+	2322.07i	0.0698992	+	0.283848i
$407$	10222.3	+	3001.53i	1.24496	+	0.365554i
$408$	−608.102	−	773.265i	−0.0737881	−	0.0938292i
$409$	8138.16	−	5795.15i	0.983878	−	0.700616i	0.0296074	−	0.999562i	$-0.490574\pi$
$409$	8138.16	−	5795.15i	0.983878	−	0.700616i	0.954270	+	0.298946i	$0.0966349\pi$
$410$	−1423.26	+	1809.82i	−0.171438	+	0.218001i
$411$	−672.003	+	14107.1i	−0.0806507	+	1.69307i
$412$	1623.43	+	1873.54i	0.194128	+	0.224036i
$413$	−977.328	−	4978.31i	−0.116443	−	0.593140i
$414$	−368.940	+	62.1907i	−0.0437981	+	0.00738287i
$415$	−4174.14	−	7229.83i	−0.493736	−	0.855176i
$416$	1486.50	+	7712.68i	0.175196	+	0.909003i
$417$	−5964.28	+	3074.80i	−0.700413	+	0.361088i
$418$	−922.721	−	2304.85i	−0.107971	−	0.269698i
$419$	−1871.24	+	4097.44i	−0.218177	+	0.477740i	−0.986796	−	0.161966i	$-0.948217\pi$
$419$	−1871.24	+	4097.44i	−0.218177	+	0.477740i	0.768620	+	0.639706i	$0.220944\pi$
$420$	−10034.5	+	3511.81i	−1.16580	+	0.407998i
$421$	−3431.23	+	11685.7i	−0.397216	+	1.35279i	0.481917	+	0.876217i	$0.339941\pi$
$421$	−3431.23	+	11685.7i	−0.397216	+	1.35279i	−0.879133	+	0.476577i	$0.841877\pi$
$422$	524.265	+	270.277i	0.0604758	+	0.0311775i
$423$	3.69808	−	38.7280i	0.000425075	−	0.00445159i
$424$	603.841	+	146.490i	0.0691630	+	0.0167788i
$425$	2353.77	+	453.652i	0.268646	+	0.0517774i
$426$	217.161	+	188.171i	0.0246983	+	0.0214012i
$427$	411.785	−	9321.37i	0.0466690	−	1.05642i
$428$	−4639.22	+	2118.66i	−0.523937	+	0.239274i
$429$	3565.75	−	6916.60i	0.401296	−	0.778407i
$430$	−678.603	−	711.698i	−0.0761049	−	0.0798166i
$431$	−1184.87	+	2959.66i	−0.132420	+	0.330770i	−0.979728	−	0.200332i	$-0.935798\pi$
$431$	−1184.87	+	2959.66i	−0.132420	+	0.330770i	0.847308	+	0.531102i	$0.178222\pi$
$432$	−697.394	−	7303.44i	−0.0776699	−	0.813395i
$433$	484.072	−	3366.79i	0.0537252	−	0.373667i	−0.945166	−	0.326590i	$-0.894100\pi$
$433$	484.072	−	3366.79i	0.0537252	−	0.373667i	0.998891	−	0.0470767i	$-0.0149905\pi$
$434$	−128.017	+	18.8573i	−0.0141590	+	0.00208567i
$435$	−9559.00	+	8282.92i	−1.05361	+	0.912956i
$436$	10893.4	−	6289.32i	1.19656	−	0.690834i
$437$	858.428	−	12069.6i	0.0939683	−	1.32121i
$438$	1994.95	−	3455.35i	0.217631	−	0.376948i
$439$	−2313.07	−	800.561i	−0.251473	−	0.0870358i	0.198423	−	0.980116i	$-0.436418\pi$
$439$	−2313.07	−	800.561i	−0.251473	−	0.0870358i	−0.449897	+	0.893081i	$0.648539\pi$
$440$	−3072.60	+	4781.07i	−0.332911	+	0.518019i
$441$	354.632	+	1418.98i	0.0382931	+	0.153221i
$442$	700.474	+	319.896i	0.0753804	+	0.0344251i
$443$	6466.13	−	5085.02i	0.693488	−	0.545365i	−0.208021	−	0.978124i	$-0.566702\pi$
$443$	6466.13	−	5085.02i	0.693488	−	0.545365i	0.901510	+	0.432759i	$0.142460\pi$
$444$	9519.89	−	9077.20i	1.01755	−	0.970236i
$445$	1016.52	+	21339.3i	0.108287	+	2.27321i
$446$	4091.62	+	2913.63i	0.434403	+	0.309337i
$447$	−13922.3	+	4087.97i	−1.47316	+	0.432560i
$448$	−5274.39	+	18.2080i	−0.556231	+	0.00192019i
$449$	2788.24	−	3217.80i	0.293062	−	0.338212i	−0.590056	−	0.807362i	$-0.700894\pi$
$449$	2788.24	−	3217.80i	0.293062	−	0.338212i	0.883118	+	0.469150i	$0.155440\pi$
$450$	−348.655	−	332.442i	−0.0365239	−	0.0348255i
$451$	5016.95	+	479.061i	0.523812	+	0.0500179i
$452$	−12338.1	+	587.737i	−1.28393	+	0.0611611i
$453$	−6420.16	+	1557.51i	−0.665884	+	0.161542i
$454$	−76.6737	−	533.277i	−0.00792616	−	0.0551276i
$455$	11935.7	−	12604.6i	1.22979	−	1.29871i
$456$	−6328.72	−	909.932i	−0.649933	−	0.0934462i
$457$	6647.53	+	316.661i	0.680434	+	0.0324131i	0.384954	−	0.922936i	$-0.374217\pi$
$457$	6647.53	+	316.661i	0.680434	+	0.0324131i	0.295480	+	0.955349i	$0.404520\pi$
$458$	3435.58	−	662.154i	0.350511	−	0.0675555i
$459$	−2178.96	−	1258.02i	−0.221579	−	0.127929i
$460$	−11336.2	+	6915.95i	−1.14903	+	0.700995i
$461$		−	2374.02i		−	0.239846i	−0.992783	−	0.119923i	$-0.961735\pi$
$461$		−	2374.02i		−	0.239846i	0.992783	−	0.119923i	$-0.0382648\pi$
$462$	−1575.26	−	1230.02i	−0.158632	−	0.123865i
$463$	10890.1	+	6998.63i	1.09310	+	0.702492i	0.957547	−	0.288278i	$-0.0930828\pi$
$463$	10890.1	+	6998.63i	1.09310	+	0.702492i	0.135552	+	0.990770i	$0.456719\pi$
$464$	−7416.83	+	2969.25i	−0.742064	+	0.297078i
$465$	−396.985	−	557.487i	−0.0395908	−	0.0555975i
$466$	−3485.64	−	1395.44i	−0.346500	−	0.138718i
$467$	2674.05	+	11022.6i	0.264969	+	1.09222i	0.936340	+	0.351094i	$0.114190\pi$
$467$	2674.05	+	11022.6i	0.264969	+	1.09222i	−0.671371	+	0.741121i	$0.734294\pi$
$468$	974.217	+	1515.91i	0.0962247	+	0.149729i
$469$	3361.07	−	2410.93i	0.330916	−	0.237370i
$470$	33.4104	+	113.785i	0.00327895	+	0.0111671i
$471$	2447.95	−	12701.2i	0.239481	−	1.24255i
$472$	−3164.36	+	1095.19i	−0.308583	+	0.106802i
$473$	−507.473	+	2091.83i	−0.0493312	+	0.203346i
$474$	−631.136	+	886.306i	−0.0611583	+	0.0858848i
$475$	13106.7	−	8423.17i	1.26606	−	0.813646i
$476$	−1329.31	+	1880.46i	−0.128002	+	0.181073i
$477$	214.551	−	30.8478i	0.0205946	−	0.00296105i
$478$	−1154.10	+	110.203i	−0.110434	+	0.0105451i
$479$	−2531.20	−	1990.56i	−0.241448	−	0.189877i	0.490101	−	0.871666i	$-0.336960\pi$
$479$	−2531.20	−	1990.56i	−0.241448	−	0.189877i	−0.731549	+	0.681789i	$0.761202\pi$
$480$	4889.18	+	9483.69i	0.464916	+	0.901811i
$481$	−7024.75	+	20296.7i	−0.665907	+	1.92401i
$482$	−1531.75			−0.144749
$483$	−4289.87	−	8745.28i	−0.404132	−	0.823859i
$484$	−3841.86			−0.360806
$485$	−5596.09	+	16168.9i	−0.523929	+	1.51379i
$486$	431.803	+	837.580i	0.0403024	+	0.0781757i
$487$	−16678.1	−	13115.8i	−1.55186	−	1.22040i	−0.874821	−	0.484447i	$-0.839021\pi$
$487$	−16678.1	−	13115.8i	−1.55186	−	1.22040i	−0.677038	−	0.735948i	$-0.736737\pi$
$488$	−6130.43	+	585.385i	−0.568671	+	0.0543015i
$489$	4014.51	−	577.200i	0.371253	−	0.0533781i
$490$	−2611.15	−	3613.78i	−0.240734	−	0.333171i
$491$	−10404.2	+	6686.39i	−0.956286	+	0.614567i	−0.922968	−	0.384877i	$-0.874244\pi$
$491$	−10404.2	+	6686.39i	−0.956286	+	0.614567i	−0.0333179	+	0.999445i	$0.510607\pi$
$492$	3609.34	−	5068.62i	0.330735	−	0.464453i
$493$	−645.931	+	2662.56i	−0.0590086	+	0.243237i
$494$	4729.78	−	1636.99i	0.430775	−	0.149093i
$495$	−375.206	+	1946.75i	−0.0340692	+	0.176768i
$496$	−121.788	−	414.771i	−0.0110251	−	0.0375479i
$497$	578.457	−	1278.30i	0.0522080	−	0.115372i
$498$	−1047.59	−	1630.09i	−0.0942648	−	0.146679i
$499$	2162.83	+	8915.31i	0.194031	+	0.799808i	0.982733	+	0.185031i	$0.0592386\pi$
$499$	2162.83	+	8915.31i	0.194031	+	0.799808i	−0.788701	+	0.614776i	$0.789246\pi$
$500$	−1902.95	−	761.827i	−0.170205	−	0.0681399i
$501$	4631.61	+	6504.18i	0.413024	+	0.580011i
$502$	−3094.40	+	1238.81i	−0.275119	+	0.110141i
$503$	2564.94	+	1648.38i	0.227366	+	0.146119i	0.649364	−	0.760477i	$-0.275035\pi$
$503$	2564.94	+	1648.38i	0.227366	+	0.146119i	−0.421999	+	0.906596i	$0.638671\pi$
$504$	894.971	−	361.882i	0.0790975	−	0.0319831i
$505$		−	9662.32i		−	0.851421i
$506$	−2245.92	−	1089.90i	−0.197319	−	0.0957550i
$507$	4513.64	+	2605.95i	0.395380	+	0.228273i
$508$	12416.1	−	2393.00i	1.08440	−	0.209001i
$509$	−7730.01	−	368.226i	−0.673137	−	0.0320655i	−0.291769	−	0.956489i	$-0.594244\pi$
$509$	−7730.01	−	368.226i	−0.673137	−	0.0320655i	−0.381368	+	0.924423i	$0.624547\pi$
$510$	1035.41	+	148.870i	0.0898997	+	0.0129256i
$511$	−18949.1	−	4527.78i	−1.64042	−	0.391971i
$512$	1644.04	+	11434.5i	0.141908	+	0.986991i
$513$	−15892.1	+	3855.39i	−1.36775	+	0.331812i
$514$	−1264.14	+	60.2186i	−0.108481	+	0.00516757i
$515$	−5473.75	−	522.680i	−0.468354	−	0.0447224i
$516$	1923.41	+	1833.96i	0.164095	+	0.156465i
$517$	169.989	−	196.178i	0.0144606	−	0.0166884i
$518$	4786.75	+	2741.64i	0.406019	+	0.232550i
$519$	−9216.46	+	2706.20i	−0.779495	+	0.228880i
$520$	−9332.89	−	6645.92i	−0.787066	−	0.560467i
$521$	−868.956	−	18241.6i	−0.0730704	−	1.53394i	−0.676454	−	0.736485i	$-0.736484\pi$
$521$	−868.956	−	18241.6i	−0.0730704	−	1.53394i	0.603384	−	0.797451i	$-0.293819\pi$
$522$	398.501	−	379.970i	0.0334137	−	0.0318599i
$523$	15772.1	−	12403.4i	1.31868	−	1.03702i	0.322784	−	0.946473i	$-0.395381\pi$
$523$	15772.1	−	12403.4i	1.31868	−	1.03702i	0.995892	−	0.0905460i	$-0.0288612\pi$
$524$	12230.0	+	5585.26i	1.01960	+	0.465636i
$525$	5708.62	−	11167.7i	0.474561	−	0.928375i
$526$	1713.58	−	2666.38i	0.142045	−	0.221026i
$527$	−140.094	−	48.4869i	−0.0115798	−	0.00400782i
$528$	3338.38	−	5782.24i	0.275160	−	0.476590i
$529$	−7528.72	−	9557.94i	−0.618782	−	0.785563i
$530$	−572.205	+	330.363i	−0.0468962	+	0.0270756i
$531$	−882.803	+	764.953i	−0.0721476	+	0.0625162i
$532$	2181.24	+	14807.8i	0.177761	+	1.20676i
$533$	−1445.93	+	10056.7i	−0.117505	+	0.817266i
$534$	471.346	+	4936.16i	0.0381969	+	0.400016i
$535$	4204.35	−	10502.0i	0.339757	−	0.848671i
$536$	−1883.97	−	1975.85i	−0.151819	−	0.159224i
$537$	6682.71	−	12962.6i	0.537021	−	1.04168i
$538$	2095.08	−	956.793i	0.167891	−	0.0766733i
$539$	−3564.44	+	9084.84i	−0.284845	+	0.725996i
$540$	13563.3	+	11752.6i	1.08087	+	0.936579i
$541$	−12245.5	−	2360.12i	−0.973150	−	0.187559i	−0.322193	−	0.946674i	$-0.604420\pi$
$541$	−12245.5	−	2360.12i	−0.973150	−	0.187559i	−0.650957	+	0.759115i	$0.725632\pi$
$542$	−5009.75	−	1215.35i	−0.397024	−	0.0963170i
$543$	−767.332	+	8035.86i	−0.0606434	+	0.635086i
$544$	2054.28	+	1059.06i	0.161906	+	0.0834682i
$545$	−7860.34	+	26769.8i	−0.617798	+	2.10403i
$546$	2628.00	−	3054.11i	0.205985	−	0.239385i
$547$	4386.74	−	9605.63i	0.342895	−	0.750835i	−0.657101	−	0.753803i	$-0.728217\pi$
$547$	4386.74	−	9605.63i	0.342895	−	0.750835i	0.999996	+	0.00296749i	$0.000944582\pi$
$548$	−8110.16	−	20258.2i	−0.632206	−	1.57917i
$549$	−1909.48	+	984.407i	−0.148442	+	0.0765273i
$550$	−608.320	−	3156.26i	−0.0471615	−	0.244697i
$551$	8903.70	+	15421.7i	0.688403	+	1.19235i
$552$	−5322.86	+	3605.69i	−0.410427	+	0.278023i
$553$	5026.70	+	1720.35i	0.386541	+	0.132291i
$554$	1448.54	+	1671.71i	0.111088	+	0.128202i
$555$	−1388.24	+	29142.8i	−0.106176	+	2.22891i
$556$	6408.97	−	8149.67i	0.488851	−	0.621624i
$557$	10179.7	−	7248.95i	0.774378	−	0.551432i	−0.123150	−	0.992388i	$-0.539300\pi$
$557$	10179.7	−	7248.95i	0.774378	−	0.551432i	0.897529	+	0.440956i	$0.145360\pi$
$558$	18.4170	+	23.4191i	0.00139723	+	0.00177672i
$559$	−4163.64	−	1222.56i	−0.315033	−	0.0925020i
$560$	10744.0	−	10315.4i	0.810742	−	0.778402i
$561$	−951.190	−	2082.81i	−0.0715851	−	0.156750i
$562$	−1541.13	+	1616.29i	−0.115674	+	0.121315i
$563$	−4818.88	−	13923.2i	−0.360731	−	1.04226i	−0.968685	−	0.248292i	$-0.920131\pi$
$563$	−4818.88	−	13923.2i	−0.360731	−	1.04226i	0.607954	−	0.793972i	$-0.291991\pi$
$564$	−104.823	−	302.867i	−0.00782598	−	0.0226117i
$565$	18906.5	−	19828.5i	1.40779	−	1.47645i
$566$	3137.17	+	6869.45i	0.232978	+	0.510150i
$567$	−7958.05	+	7640.61i	−0.589430	+	0.565918i
$568$	−888.562	−	260.905i	−0.0656395	−	0.0192735i
$569$	−3562.92	−	4530.62i	−0.262505	−	0.333802i	0.636877	−	0.770965i	$-0.280226\pi$
$569$	−3562.92	−	4530.62i	−0.262505	−	0.333802i	−0.899382	+	0.437163i	$0.855983\pi$
$570$	5538.23	−	3943.75i	0.406966	−	0.289799i
$571$	14401.6	−	18313.2i	1.05550	−	1.34218i	0.118457	−	0.992959i	$-0.462205\pi$
$571$	14401.6	−	18313.2i	1.05550	−	1.34218i	0.937042	−	0.349217i	$-0.113552\pi$
$572$	−572.090	+	12009.7i	−0.0418187	+	0.877882i
$573$	−6396.00	−	7381.37i	−0.466312	−	0.538152i
$574$	2468.88	+	844.957i	0.179528	+	0.0614422i
$575$	4048.69	−	15133.9i	0.293638	−	1.09761i
$576$	607.207	+	1051.71i	0.0439241	+	0.0760788i
$577$	−791.155	−	4104.90i	−0.0570818	−	0.296168i	0.942157	−	0.335171i	$-0.108794\pi$
$577$	−791.155	−	4104.90i	−0.0570818	−	0.296168i	−0.999239	+	0.0390025i	$0.987582\pi$
$578$	−3272.18	+	1686.93i	−0.235475	+	0.121396i
$579$	4977.65	+	12433.6i	0.357278	+	0.892438i
$580$	8118.36	−	17776.7i	0.581201	−	1.27265i
$581$	−6171.35	+	7171.99i	−0.440672	+	0.512124i
$582$	−1118.85	+	3810.45i	−0.0796869	+	0.271389i
$583$	1285.50	+	662.719i	0.0913204	+	0.0470789i
$584$	−1222.32	+	12800.7i	−0.0866092	+	0.907012i
$585$	−3884.18	−	942.292i	−0.274515	−	0.0665965i
$586$	4366.05	+	841.487i	0.307781	+	0.0593200i
$587$	−3504.63	−	3036.78i	−0.246425	−	0.213529i	0.522886	−	0.852402i	$-0.324855\pi$
$587$	−3504.63	−	3036.78i	−0.246425	−	0.213529i	−0.769312	+	0.638874i	$0.779401\pi$
$588$	7513.49	+	9419.61i	0.526958	+	0.660643i
$589$	−876.464	+	400.268i	−0.0613142	+	0.0280013i
$590$	1631.60	−	3164.86i	0.113851	−	0.220840i
$591$	15420.8	+	16172.9i	1.07331	+	1.12566i
$592$	−6849.14	+	17108.3i	−0.475503	+	1.18775i
$593$	−1797.45	−	18823.7i	−0.124473	−	1.30354i	−0.814674	−	0.579920i	$-0.803084\pi$
$593$	−1797.45	−	18823.7i	−0.124473	−	1.30354i	0.690201	−	0.723618i	$-0.257522\pi$
$594$	−480.150	+	3339.51i	−0.0331663	+	0.230677i
$595$	−744.374	−	5053.34i	−0.0512880	−	0.348179i
$596$	16943.4	−	14681.5i	1.16448	−	1.00902i
$597$	−12835.3	+	7410.44i	−0.879919	+	0.508022i
$598$	2410.17	−	4418.07i	0.164815	−	0.302121i
$599$	6199.02	−	10737.0i	0.422847	−	0.732392i	−0.573370	−	0.819297i	$-0.694364\pi$
$599$	6199.02	−	10737.0i	0.422847	−	0.732392i	0.996217	+	0.0869047i	$0.0276976\pi$
$600$	−7822.80	−	2707.50i	−0.532274	−	0.184222i
$601$	3409.05	−	5304.58i	0.231378	−	0.360030i	−0.706079	−	0.708133i	$-0.749538\pi$
$601$	3409.05	−	5304.58i	0.231378	−	0.360030i	0.937456	+	0.348103i	$0.113174\pi$
$602$	−507.278	+	992.379i	−0.0343441	+	0.0671866i
$603$	−866.312	−	395.631i	−0.0585057	−	0.0267187i
$604$	8023.56	−	6309.80i	0.540520	−	0.425070i
$605$	6167.24	−	5880.46i	0.414437	−	0.395165i
$606$	−106.711	−	2240.15i	−0.00715322	−	0.150165i
$607$	−1483.67	−	1056.52i	−0.0992098	−	0.0706470i	0.529375	−	0.848388i	$-0.322426\pi$
$607$	−1483.67	−	1056.52i	−0.0992098	−	0.0706470i	−0.628585	+	0.777741i	$0.716366\pi$
$608$	14413.3	−	4232.13i	0.961409	−	0.282295i
$609$	12439.3	+	7124.72i	0.827697	+	0.474069i
$610$	4288.36	−	4949.03i	0.284640	−	0.328493i
$611$	378.737	+	361.125i	0.0250770	+	0.0239109i
$612$	527.825	+	50.4011i	0.0348628	+	0.00332900i
$613$	21412.8	−	1020.02i	1.41085	−	0.0672072i	0.671739	−	0.740788i	$-0.265548\pi$
$613$	21412.8	−	1020.02i	1.41085	−	0.0672072i	0.739114	+	0.673580i	$0.235244\pi$
$614$	2779.70	−	674.349i	0.182703	−	0.0443233i
$615$	1964.17	+	13661.1i	0.128785	+	0.895721i
$616$	6264.85	+	1496.96i	0.409770	+	0.0979124i
$617$	−2632.38	−	378.479i	−0.171760	−	0.0246953i	0.0558984	−	0.998436i	$-0.482198\pi$
$617$	−2632.38	−	378.479i	−0.171760	−	0.0246953i	−0.227658	+	0.973741i	$0.573107\pi$
$618$	−1274.83	−	60.7275i	−0.0829791	−	0.00395278i
$619$	−691.917	+	133.356i	−0.0449281	+	0.00865918i	−0.211666	−	0.977342i	$-0.567889\pi$
$619$	−691.917	+	133.356i	−0.0449281	+	0.00865918i	0.166738	+	0.986001i	$0.446677\pi$
$620$	915.767	+	528.719i	0.0593195	+	0.0342481i
$621$	−9211.31	+	13621.3i	−0.595229	+	0.880201i
$622$		−	696.427i		−	0.0448942i
$623$	22447.1	−	9076.48i	1.44353	−	0.583694i
$624$	11323.5	+	7277.15i	0.726444	+	0.466857i
$625$	−12260.8	+	4908.47i	−0.784689	+	0.314142i
$626$	−4220.50	−	5926.86i	−0.269465	−	0.378410i
$627$	−13816.2	−	5531.16i	−0.880007	−	0.352302i
$628$	4711.77	+	19422.2i	0.299395	+	1.23412i
$629$	3416.77	+	5316.60i	0.216591	+	0.337022i
$630$	−423.211	+	935.232i	−0.0267637	+	0.0591437i
$631$	3088.31	+	10517.8i	0.194839	+	0.663562i	0.997724	+	0.0674276i	$0.0214792\pi$
$631$	3088.31	+	10517.8i	0.194839	+	0.663562i	−0.802885	+	0.596134i	$0.796703\pi$
$632$	663.640	−	3443.29i	0.0417693	−	0.216720i
$633$	3341.24	−	1156.41i	0.209798	−	0.0726118i
$634$	−1775.27	+	7317.76i	−0.111207	+	0.458400i
$635$	−16268.4	+	22845.8i	−1.01668	+	1.42773i
$636$	1502.18	−	965.395i	0.0936564	−	0.0601893i
$637$	−17952.2	−	8049.17i	−1.11663	−	0.500659i
$638$	3636.50	−	522.850i	0.225659	−	0.0324449i
$639$	−321.594	+	30.7085i	−0.0199093	+	0.00190111i
$640$	−16981.4	−	13354.3i	−1.04883	−	0.824806i
$641$	−12434.5	−	24119.6i	−0.766198	−	1.48622i	−0.870765	−	0.491699i	$-0.836376\pi$
$641$	−12434.5	−	24119.6i	−0.766198	−	1.48622i	0.104567	−	0.994518i	$-0.466654\pi$
$642$	858.767	−	2481.24i	0.0527925	−	0.152534i
$643$	−25175.0			−1.54402			−0.772009	−	0.635611i	$-0.780748\pi$
$643$	−25175.0			−1.54402			−0.772009	+	0.635611i	$0.780748\pi$
$644$	11642.4	+	9537.65i	0.712382	+	0.583596i
$645$	−5894.71			−0.359851
$646$	481.682	−	1391.73i	0.0293367	−	0.0847629i
$647$	12990.7	+	25198.4i	0.789361	+	1.53115i	0.846262	+	0.532767i	$0.178848\pi$
$647$	12990.7	+	25198.4i	0.789361	+	1.53115i	−0.0569005	+	0.998380i	$0.518122\pi$
$648$	5723.65	+	4501.13i	0.346985	+	0.272872i
$649$	−7758.73	+	740.869i	−0.469271	+	0.0448099i
$650$	6414.12	−	922.211i	0.387050	−	0.0556494i
$651$	−447.745	+	633.386i	−0.0269562	+	0.0381326i
$652$	−5271.74	+	3387.94i	−0.316652	+	0.203500i
$653$	−629.669	+	884.246i	−0.0377348	+	0.0529912i	−0.833012	−	0.553254i	$-0.813386\pi$
$653$	−629.669	+	884.246i	−0.0377348	+	0.0529912i	0.795278	+	0.606246i	$0.207325\pi$
$654$	−1526.72	+	6293.23i	−0.0912836	+	0.376276i
$655$	−28181.5	+	9753.72i	−1.68113	+	0.581846i
$656$	−1649.80	+	8559.97i	−0.0981918	+	0.509467i
$657$	1263.79	+	4304.06i	0.0750456	+	0.255582i
$658$	109.213	−	78.3398i	0.00647046	−	0.00464134i
$659$	−9493.88	−	14772.8i	−0.561197	−	0.873240i	0.438477	−	0.898742i	$-0.355518\pi$
$659$	−9493.88	−	14772.8i	−0.561197	−	0.873240i	−0.999675	+	0.0255021i	$0.991882\pi$
$660$	3850.54	+	15872.1i	0.227094	+	0.936094i
$661$	11325.3	+	4533.98i	0.666421	+	0.266795i	0.680109	−	0.733111i	$-0.261933\pi$
$661$	11325.3	+	4533.98i	0.666421	+	0.266795i	−0.0136871	+	0.999906i	$0.504357\pi$
$662$	4249.88	+	5968.12i	0.249511	+	0.350389i
$663$	4285.40	−	1715.62i	0.251028	−	0.100496i
$664$	5253.55	+	3376.25i	0.307044	+	0.197325i
$665$	−26166.7	−	20431.9i	−1.52587	−	1.19145i
$666$		−	1270.10i		−	0.0738972i
$667$	17057.8	+	5445.32i	0.990223	+	0.316107i
$668$	−10684.2	−	6168.55i	−0.618840	−	0.357288i
$669$	29565.7	−	5698.33i	1.70864	−	0.329313i
$670$	2899.77	+	138.133i	0.167206	+	0.00796501i
$671$	−14188.2	−	2039.96i	−0.816288	−	0.117365i
$672$	8314.71	−	8780.71i	0.477302	−	0.504052i
$673$	−3261.81	−	22686.4i	−0.186825	−	1.29940i	−0.840164	−	0.542333i	$-0.817541\pi$
$673$	−3261.81	−	22686.4i	−0.186825	−	1.29940i	0.653338	−	0.757066i	$-0.273368\pi$
$674$	501.919	−	121.764i	0.0286843	−	0.00695873i
$675$	−21148.5	+	1007.43i	−1.20593	+	0.0574458i
$676$	−8016.35	−	765.468i	−0.456096	−	0.0435519i
$677$	−19264.8	−	18368.9i	−1.09366	−	1.04280i	−0.998881	−	0.0473017i	$-0.984938\pi$
$677$	−19264.8	−	18368.9i	−1.09366	−	1.04280i	−0.0947767	−	0.995499i	$-0.530214\pi$
$678$	4164.35	−	4805.92i	0.235886	−	0.272227i
$679$	19391.6	−	66.9428i	1.09600	−	0.00378355i
$680$	−3234.75	+	949.807i	−0.182422	+	0.0535639i
$681$	−2630.71	−	1873.32i	−0.148031	−	0.105412i
$682$	9.45882	+	198.565i	0.000531080	+	0.0111487i
$683$	20568.0	−	19611.6i	1.15229	−	1.09870i	0.158507	−	0.987358i	$-0.449332\pi$
$683$	20568.0	−	19611.6i	1.15229	−	1.09870i	0.993782	−	0.111347i	$-0.0355164\pi$
$684$	2708.91	−	2130.31i	0.151430	−	0.119086i
$685$	44026.8	+	20106.4i	2.45573	+	1.12150i
$686$	−2888.25	+	4146.20i	−0.160749	+	0.230762i
$687$	11339.0	−	17643.8i	0.629708	−	0.979845i
$688$	−3518.51	−	1217.77i	−0.194974	−	0.0674810i
$689$	−1457.83	+	2525.03i	−0.0806078	+	0.139617i
$690$	1450.55	−	6680.83i	0.0800313	−	0.368601i
$691$	1098.79	−	634.385i	0.0604918	−	0.0349250i	−0.469449	−	0.882960i	$-0.655547\pi$
$691$	1098.79	−	634.385i	0.0604918	−	0.0349250i	0.529941	+	0.848035i	$0.322214\pi$
$692$	11216.4	−	9719.03i	0.616159	−	0.533905i
$693$	2223.00	−	327.456i	0.121854	−	0.0179495i
$694$	−526.633	+	3662.81i	−0.0288051	+	0.200344i
$695$	2185.94	+	22892.2i	0.119306	+	1.24943i
$696$	3516.51	−	8783.83i	0.191513	−	0.478377i
$697$	2063.05	+	2163.67i	0.112114	+	0.117582i
$698$	4494.45	−	8718.01i	0.243721	−	0.472753i
$699$	−20472.6	+	9349.54i	−1.10779	+	0.505911i
$700$	−855.245	+	19359.7i	−0.0461789	+	1.04533i
$701$	1627.30	+	1410.06i	0.0876779	+	0.0759733i	0.697597	−	0.716490i	$-0.254253\pi$
$701$	1627.30	+	1410.06i	0.0876779	+	0.0759733i	−0.609919	+	0.792464i	$0.708798\pi$
$702$	−6678.72	−	1287.22i	−0.359077	−	0.0692064i
$703$	39918.2	+	9684.06i	2.14160	+	0.519546i
$704$	−770.233	+	8066.25i	−0.0412347	+	0.431830i
$705$	631.846	+	325.739i	0.0337542	+	0.0174015i
$706$	1028.02	−	3501.10i	0.0548015	−	0.186637i
$707$	−10336.2	+	3617.40i	−0.549835	+	0.192428i
$708$	−3997.52	+	8753.35i	−0.212198	+	0.464648i
$709$	−9017.71	−	22525.1i	−0.477669	−	1.19316i	−0.950143	−	0.311814i	$-0.899063\pi$
$709$	−9017.71	−	22525.1i	−0.477669	−	1.19316i	0.472475	−	0.881344i	$-0.343361\pi$
$710$	875.282	−	451.239i	0.0462658	−	0.0238517i
$711$	−231.508	−	1201.18i	−0.0122113	−	0.0633581i
$712$	−7990.45	−	13839.9i	−0.420583	−	0.728471i
$713$	−381.040	+	890.789i	−0.0200141	+	0.0467887i
$714$	−228.388	−	1163.36i	−0.0119709	−	0.0609772i
$715$	−17463.9	−	20154.5i	−0.913446	−	1.05417i
$716$	−1072.18	+	22507.7i	−0.0559624	+	1.17480i
$717$	−4295.96	+	5462.76i	−0.223760	+	0.284534i
$718$	−8331.59	+	5932.90i	−0.433053	+	0.308376i
$719$	23091.8	+	29363.6i	1.19775	+	1.52306i	0.793690	+	0.608323i	$0.208157\pi$
$719$	23091.8	+	29363.6i	1.19775	+	1.52306i	0.404056	+	0.914734i	$0.367600\pi$
$720$	−3290.44	−	966.159i	−0.170316	−	0.0500092i
$721$	1490.14	+	6051.20i	0.0769707	+	0.312564i
$722$	−1709.89	−	3744.14i	−0.0881378	−	0.192995i
$723$	−6336.24	+	6645.26i	−0.325930	+	0.341826i
$724$	−4079.37	−	11786.6i	−0.209404	−	0.605033i
$725$	7540.67	+	21787.3i	0.386281	+	1.11608i
$726$	1364.89	−	1431.46i	0.0697740	−	0.0731768i
$727$	−2806.50	−	6145.38i	−0.143174	−	0.313507i	0.824437	−	0.565954i	$-0.191492\pi$
$727$	−2806.50	−	6145.38i	−0.143174	−	0.313507i	−0.967611	+	0.252447i	$0.918765\pi$
$728$	−3615.37	+	12471.9i	−0.184058	+	0.634946i
$729$	20851.9	+	6122.66i	1.05938	+	0.311063i
$730$	−8452.48	−	10748.2i	−0.428548	−	0.544944i
$731$	−1040.10	+	740.655i	−0.0526261	+	0.0374749i
$732$	−10940.0	+	13911.4i	−0.552397	+	0.702429i
$733$	11.3292	−	237.828i	0.000570876	−	0.0119842i	−0.998564	−	0.0535731i	$-0.982939\pi$
$733$	11.3292	−	237.828i	0.000570876	−	0.0119842i	0.999135	+	0.0415890i	$0.0132420\pi$
$734$	−2450.04	−	2827.50i	−0.123205	−	0.142186i
$735$	−26479.1	−	3620.71i	−1.32884	−	0.181703i
$736$	7856.46	−	12900.8i	0.393469	−	0.646102i
$737$	−3177.27	−	5503.20i	−0.158801	−	0.275051i
$738$	−113.706	−	589.962i	−0.00567151	−	0.0294266i
$739$	8145.93	−	4199.52i	0.405484	−	0.209042i	−0.243405	−	0.969925i	$-0.578264\pi$
$739$	8145.93	−	4199.52i	0.405484	−	0.209042i	0.648889	+	0.760883i	$0.275234\pi$
$740$	−16754.2	−	41850.0i	−0.832293	−	2.07897i
$741$	12463.4	−	27291.0i	0.617887	−	1.35298i
$742$	567.628	+	488.432i	0.0280839	+	0.0241656i
$743$	−5232.20	+	17819.2i	−0.258345	+	0.879844i	0.723526	+	0.690297i	$0.242520\pi$
$743$	−5232.20	+	17819.2i	−0.258345	+	0.879844i	−0.981872	+	0.189547i	$0.939298\pi$
$744$	455.044	+	234.591i	0.0224230	+	0.0115599i
$745$	−4726.86	+	49501.9i	−0.232455	+	2.43437i
$746$	1066.33	+	258.688i	0.0523337	+	0.0126960i
$747$	2139.14	+	412.285i	0.104775	+	0.0201937i
$748$	2673.71	+	2316.78i	0.130696	+	0.113249i
$749$	−12808.4	−	565.832i	−0.624847	−	0.0276035i
$750$	959.912	−	438.377i	0.0467347	−	0.0213430i
$751$	8861.34	−	17188.6i	0.430566	−	0.835181i	−0.569349	−	0.822096i	$-0.692805\pi$
$751$	8861.34	−	17188.6i	0.430566	−	0.835181i	0.999914	−	0.0130849i	$-0.00416517\pi$
$752$	309.851	+	324.962i	0.0150254	+	0.0157582i
$753$	−7425.92	+	18549.1i	−0.359383	+	0.897696i
$754$	704.033	+	7372.97i	0.0340045	+	0.356111i
$755$	−3222.08	+	22410.1i	−0.155316	+	1.08025i
$756$	7494.47	−	18909.2i	0.360544	−	0.909684i
$757$	−8967.29	+	7770.20i	−0.430544	+	0.373068i	−0.843004	−	0.537907i	$-0.819215\pi$
$757$	−8967.29	+	7770.20i	−0.430544	+	0.373068i	0.412460	+	0.910976i	$0.364670\pi$
$758$	57.6169	−	33.2651i	0.00276087	−	0.00159399i
$759$	−14018.9	+	5235.10i	−0.670426	+	0.250359i
$760$	−10956.0	+	18976.3i	−0.522914	+	0.905714i
$761$	−3133.77	−	1084.61i	−0.149276	−	0.0516650i	0.251408	−	0.967881i	$-0.419106\pi$
$761$	−3133.77	−	1084.61i	−0.149276	−	0.0516650i	−0.400684	+	0.916216i	$0.631228\pi$
$762$	−3519.42	+	5476.32i	−0.167316	+	0.260349i
$763$	31579.7	−	1613.61i	1.49838	−	0.0765617i
$764$	13727.0	+	6268.92i	0.650035	+	0.296861i
$765$	−924.449	+	726.995i	−0.0436909	+	0.0343589i
$766$	3760.44	−	3585.57i	0.177376	−	0.169128i
$767$	−747.636	−	15694.8i	−0.0351963	−	0.738862i
$768$	4764.70	+	3392.92i	0.223869	+	0.159416i
$769$	21480.6	−	6307.28i	1.00730	−	0.295769i	0.263850	−	0.964564i	$-0.415008\pi$
$769$	21480.6	−	6307.28i	1.00730	−	0.295769i	0.743447	+	0.668795i	$0.233190\pi$
$770$	−5919.84	+	3445.12i	−0.277060	+	0.161238i
$771$	−4968.02	+	5733.40i	−0.232061	+	0.267812i
$772$	−14976.4	−	14279.9i	−0.698201	−	0.665733i
$773$	−28132.4	−	2686.31i	−1.30899	−	0.124994i	−0.582873	−	0.812563i	$-0.698072\pi$
$773$	−28132.4	−	2686.31i	−1.30899	−	0.124994i	−0.726119	+	0.687569i	$0.758678\pi$
$774$	256.322	−	12.2101i	0.0119035	−	0.000567034i
$775$	−1212.33	+	294.109i	−0.0561914	+	0.0136319i
$776$	−1821.49	−	12668.7i	−0.0842623	−	0.586057i
$777$	31695.1	−	9425.50i	1.46339	−	0.435184i
$778$	377.839	+	54.3250i	0.0174115	+	0.00250340i
$779$	19408.9	+	924.562i	0.892679	+	0.0425236i
$780$	−32331.1	+	6231.30i	−1.48415	+	0.286047i
$781$	−1866.75	−	1077.77i	−0.0855281	−	0.0493797i
$782$	−583.484	−	1361.07i	−0.0266820	−	0.0622402i
$783$		−	24199.4i		−	1.10449i
$784$	−15057.2	−	7631.40i	−0.685915	−	0.347640i
$785$	−37291.8	−	23966.0i	−1.69554	−	1.08966i
$786$	−6425.98	+	2572.57i	−0.291612	+	0.116744i
$787$	−5718.54	−	8030.57i	−0.259014	−	0.363734i	0.664507	−	0.747282i	$-0.268642\pi$
$787$	−5718.54	−	8030.57i	−0.259014	−	0.363734i	−0.923521	+	0.383548i	$0.874702\pi$
$788$	−32053.9	−	12832.5i	−1.44908	−	0.580123i
$789$	−4479.28	−	18463.9i	−0.202112	−	0.833119i
$790$	2015.97	+	3136.90i	0.0907910	+	0.141274i
$791$	−28289.7	−	12801.6i	−1.27164	−	0.575441i
$792$	−417.827	−	1422.99i	−0.0187460	−	0.0638430i
$793$	5468.85	−	28375.1i	0.244899	−	1.27065i
$794$	−2152.41	+	744.957i	−0.0962044	+	0.0332967i
$795$	−933.759	+	3849.01i	−0.0416566	+	0.171711i
$796$	13283.0	−	18653.4i	0.591461	−	0.830591i
$797$	−18432.8	+	11846.0i	−0.819226	+	0.526485i	−0.881837	−	0.471553i	$-0.843693\pi$
$797$	−18432.8	+	11846.0i	−0.819226	+	0.526485i	0.0626115	+	0.998038i	$0.480057\pi$
$798$	−6292.23	−	4448.02i	−0.279126	−	0.197316i
$799$	152.416	−	21.9141i	0.00674854	−	0.000970293i
$800$	19360.7	−	1848.73i	0.855632	−	0.0817030i
$801$	−4382.14	−	3446.15i	−0.193302	−	0.152015i
$802$	5693.58	+	11044.0i	0.250682	+	0.486256i
$803$	−9789.26	+	28284.2i	−0.430206	+	1.24300i
$804$	−7845.69			−0.344150
$805$	−33287.8	+	2509.59i	−1.45744	+	0.109878i
$806$	−400.757			−0.0175137
$807$	4515.64	−	13047.1i	0.196974	−	0.569119i
$808$	3312.00	+	6424.39i	0.144203	+	0.279714i
$809$	14412.6	+	11334.2i	0.626352	+	0.492569i	0.880154	−	0.474688i	$-0.157439\pi$
$809$	14412.6	+	11334.2i	0.626352	+	0.492569i	−0.253803	+	0.967256i	$0.581681\pi$
$810$	−7707.80	+	736.006i	−0.334351	+	0.0319267i
$811$	20989.3	−	3017.81i	0.908797	−	0.130665i	0.327966	−	0.944690i	$-0.393637\pi$
$811$	20989.3	−	3017.81i	0.908797	−	0.130665i	0.580831	+	0.814024i	$0.302728\pi$
$812$	−22056.0	−	2029.28i	−0.953217	−	0.0877016i
$813$	−25996.0	+	16706.6i	−1.12143	+	0.720697i
$814$	4915.71	−	6903.15i	0.211665	−	0.297242i
$815$	3276.92	−	13507.7i	0.140841	−	0.580555i
$816$	3742.81	−	1295.40i	0.160570	−	0.0555737i
$817$	−1570.60	+	8149.07i	−0.0672564	+	0.348959i
$818$	−2238.93	−	7625.10i	−0.0956998	−	0.325923i
$819$	446.157	+	4507.86i	0.0190354	+	0.192329i
$820$	−11528.9	−	17939.4i	−0.490985	−	0.763987i
$821$	−576.863	−	2377.86i	−0.0245221	−	0.101082i	0.958235	−	0.285981i	$-0.0923193\pi$
$821$	−576.863	−	2377.86i	−0.0245221	−	0.101082i	−0.982758	+	0.184899i	$0.940804\pi$
$822$	10429.4	+	4175.29i	0.442538	+	0.177166i
$823$	17563.4	+	24664.3i	0.743890	+	1.04465i	0.997015	+	0.0772138i	$0.0246024\pi$
$823$	17563.4	+	24664.3i	0.743890	+	1.04465i	−0.253124	+	0.967434i	$0.581458\pi$
$824$	3818.61	−	1528.74i	0.161441	−	0.0646313i
$825$	−16209.4	−	10417.1i	−0.684045	−	0.439609i
$826$	−3996.44	−	560.527i	−0.168346	−	0.0236116i
$827$			22638.7i			0.951904i	0.879471	+	0.475952i	$0.157896\pi$
$827$			22638.7i			0.951904i	−0.879471	+	0.475952i	$0.842104\pi$
$828$	573.291	−	3417.52i	0.0240619	−	0.143438i
$829$	17775.1	+	10262.5i	0.744700	+	0.429953i	0.823776	−	0.566916i	$-0.191864\pi$
$829$	17775.1	+	10262.5i	0.744700	+	0.429953i	−0.0790758	+	0.996869i	$0.525197\pi$
$830$	−6520.59	+	1256.74i	−0.272690	+	0.0525567i
$831$	13244.5	+	630.915i	0.552885	+	0.0263372i
$832$	−16169.1	−	2324.77i	−0.673754	−	0.0968712i
$833$	−5127.10	+	2688.17i	−0.213257	+	0.111812i
$834$	759.620	+	5283.27i	0.0315390	+	0.219358i
$835$	26592.9	−	6451.36i	1.10214	−	0.267376i
$836$	22968.2	−	1094.11i	0.950205	−	0.0452638i
$837$	1303.47	+	124.467i	0.0538287	+	0.00514002i
$838$	2593.20	+	2472.61i	0.106898	+	0.101927i
$839$	−17695.5	+	20421.7i	−0.728150	+	0.840330i	−0.992262	−	0.124162i	$-0.960376\pi$
$839$	−17695.5	+	20421.7i	−0.728150	+	0.840330i	0.264112	+	0.964492i	$0.414921\pi$
$840$	60.8937	+	17639.4i	0.00250123	+	0.724542i
$841$	−1883.00	+	552.898i	−0.0772069	+	0.0226700i
$842$	7891.40	+	5619.44i	0.322987	+	0.229998i
$843$	636.982	+	13371.9i	0.0260247	+	0.546326i
$844$	−3953.72	+	3769.86i	−0.161247	+	0.153749i
$845$	14040.1	−	11041.3i	0.571590	−	0.449504i
$846$	−28.1495	−	12.8555i	−0.00114397	−	0.000522435i
$847$	−8599.50	−	4395.84i	−0.348857	−	0.178327i
$848$	−1352.51	+	2104.54i	−0.0547704	+	0.0852243i
$849$	42779.4	+	14806.1i	1.72931	+	0.598520i
$850$	953.375	−	1651.29i	0.0384712	−	0.0666340i
$851$	36243.1	−	19808.9i	1.45993	−	0.797931i
$852$	−2304.79	+	1330.67i	−0.0926772	+	0.0535072i
$853$	−24770.5	+	21463.7i	−0.994285	+	0.861553i	−0.990371	−	0.138439i	$-0.955791\pi$
$853$	−24770.5	+	21463.7i	−0.994285	+	0.861553i	−0.00391435	+	0.999992i	$0.501246\pi$
$854$	−6899.69	−	2734.62i	−0.276467	−	0.109575i
$855$	−1087.84	+	7566.07i	−0.0435126	+	0.302636i
$856$	804.375	+	8423.80i	0.0321180	+	0.336354i
$857$	−11913.6	+	29758.8i	−0.474868	+	1.18616i	0.476794	+	0.879015i	$0.341799\pi$
$857$	−11913.6	+	29758.8i	−0.474868	+	1.18616i	−0.951662	+	0.307147i	$0.900626\pi$
$858$	−4271.49	−	4479.81i	−0.169961	−	0.178250i
$859$	14226.9	−	27596.4i	0.565094	−	1.09613i	−0.417205	−	0.908812i	$-0.636990\pi$
$859$	14226.9	−	27596.4i	0.565094	−	1.09613i	0.982299	−	0.187318i	$-0.0599794\pi$
$860$	8284.75	−	3783.52i	0.328497	−	0.150020i
$861$	13878.5	−	7215.63i	0.549337	−	0.285608i
$862$	1916.50	+	1660.66i	0.0757266	+	0.0656175i
$863$	2283.52	+	440.113i	0.0900719	+	0.0173599i	0.234088	−	0.972215i	$-0.424790\pi$
$863$	2283.52	+	440.113i	0.0900719	+	0.0173599i	−0.144016	+	0.989575i	$0.546002\pi$
$864$	−19838.5	−	4812.76i	−0.781156	−	0.189506i
$865$	−3129.13	+	32769.8i	−0.122999	+	1.28810i
$866$	−2404.86	−	1239.79i	−0.0943655	−	0.0486488i
$867$	−6217.25	+	21174.0i	−0.243540	+	0.829420i
$868$	222.747	−	1177.58i	0.00871027	−	0.0460480i
$869$	3390.66	−	7424.52i	0.132359	−	0.289827i
$870$	3739.32	+	9340.37i	0.145718	+	0.363987i
$871$	11386.6	−	5870.18i	0.442961	−	0.228362i
$872$	−3949.77	−	20493.4i	−0.153390	−	0.795863i
$873$	−2232.43	−	3866.69i	−0.0865480	−	0.149906i
$874$	−8849.34	−	3785.36i	−0.342487	−	0.146501i
$875$	−3387.83	−	3882.60i	−0.130891	−	0.150007i
$876$	24199.6	+	27927.8i	0.933366	+	1.07716i
$877$	−119.143	+	2501.13i	−0.00458745	+	0.0963023i	0.995412	+	0.0956778i	$0.0305018\pi$
$877$	−119.143	+	2501.13i	−0.00458745	+	0.0963023i	−1.00000		0.000624572i	$0.999801\pi$
$878$	−1203.56	+	1530.45i	−0.0462620	+	0.0588269i
$879$	21711.3	−	15460.6i	0.833111	−	0.593256i
$880$	−14144.5	−	17986.2i	−0.541831	−	0.688994i
$881$	−42668.3	−	12528.5i	−1.63170	−	0.479112i	−0.667575	−	0.744543i	$-0.732667\pi$
$881$	−42668.3	−	12528.5i	−1.63170	−	0.479112i	−0.964130	+	0.265431i	$0.914486\pi$
$882$	1158.90	+	102.593i	0.0442430	+	0.00391664i
$883$	−11693.5	−	25605.2i	−0.445660	−	0.975859i	−0.990525	−	0.137335i	$-0.956146\pi$
$883$	−11693.5	−	25605.2i	−0.445660	−	0.975859i	0.544865	−	0.838524i	$-0.316581\pi$
$884$	−4921.78	+	5161.81i	−0.187259	+	0.196392i
$885$	−6980.99	−	20170.3i	−0.265156	−	0.766119i
$886$	−2140.13	−	6183.50i	−0.0811502	−	0.234468i
$887$	−32985.4	+	34594.1i	−1.24864	+	1.30953i	−0.315982	+	0.948765i	$0.602334\pi$
$887$	−32985.4	+	34594.1i	−1.24864	+	1.30953i	−0.932655	+	0.360769i	$0.882514\pi$
$888$	−9066.40	−	19852.6i	−0.342622	−	0.750238i
$889$	30529.8	+	8849.99i	1.15178	+	0.333880i
$890$	16305.1	+	4787.61i	0.614099	+	0.180316i
$891$	10476.8	+	13322.4i	0.393925	+	0.500916i
$892$	−37895.9	+	26985.5i	−1.42248	+	1.01294i
$893$	618.665	−	786.696i	0.0231835	−	0.0294802i
$894$	−549.189	+	11528.9i	−0.0205454	+	0.431302i
$895$	−32729.8	−	37772.2i	−1.22239	−	1.41071i
$896$	−7928.18	+	23165.4i	−0.295605	+	0.863730i
$897$	−9197.17	−	28732.0i	−0.342346	−	1.06949i
$898$	−1693.40	−	2933.06i	−0.0629282	−	0.108995i
$899$	−269.844	−	1400.08i	−0.0100109	−	0.0519414i
$900$	3965.85	−	2044.54i	0.146883	−	0.0757235i
$901$	318.859	+	796.471i	0.0117899	+	0.0294498i
$902$	1665.34	−	3646.58i	0.0614742	−	0.134610i
$903$	2206.88	+	6305.84i	0.0813292	+	0.232387i
$904$	−5774.01	+	19664.5i	−0.212434	+	0.723485i
$905$	24589.3	+	12676.7i	0.903180	+	0.465621i
$906$	−499.520	+	5231.21i	−0.0183173	+	0.191827i
$907$	11843.1	+	2873.11i	0.433566	+	0.105182i	0.446602	−	0.894733i	$-0.352634\pi$
$907$	11843.1	+	2873.11i	0.433566	+	0.105182i	−0.0130351	+	0.999915i	$0.504149\pi$
$908$	4899.74	+	944.348i	0.179079	+	0.0345147i
$909$	1905.55	+	1651.17i	0.0695305	+	0.0602485i
$910$	−6369.58	−	12251.2i	−0.232033	−	0.446291i
$911$	30438.1	−	13900.6i	1.10698	−	0.505542i	0.223829	−	0.974628i	$-0.428144\pi$
$911$	30438.1	−	13900.6i	1.10698	−	0.505542i	0.883152	+	0.469087i	$0.155417\pi$
$912$	11795.8	−	22880.7i	0.428289	−	0.830764i
$913$	10030.8	+	10520.0i	0.363603	+	0.381336i
$914$	1967.48	−	4914.53i	0.0712019	−	0.177854i
$915$	−3731.37	−	39076.6i	−0.134814	−	1.41184i
$916$	−4611.77	+	32075.5i	−0.166351	+	1.15699i
$917$	20984.7	+	26495.4i	0.755697	+	0.954150i
$918$	−1512.53	+	1310.62i	−0.0543802	+	0.0471207i
$919$	27508.0	−	15881.8i	0.987384	−	0.570066i	0.0828924	−	0.996559i	$-0.473584\pi$
$919$	27508.0	−	15881.8i	0.987384	−	0.570066i	0.904491	+	0.426492i	$0.140251\pi$
$920$	4692.00	+	21527.7i	0.168142	+	0.771464i
$921$	8572.98	−	14848.8i	0.306720	−	0.531255i
$922$	−1784.54	−	617.635i	−0.0637426	−	0.0220615i
$923$	2349.36	−	3655.68i	0.0837814	−	0.130366i
$924$	15537.6	−	10061.3i	0.553191	−	0.358219i
$925$	48375.6	+	22092.4i	1.71955	+	0.785290i
$926$	8094.04	−	6365.22i	0.287243	−	0.225890i
$927$	1038.48	−	990.186i	0.0367940	−	0.0350830i
$928$	1057.71	+	22204.2i	0.0374151	+	0.785439i
$929$	14150.6	+	10076.6i	0.499748	+	0.355869i	0.801966	−	0.597370i	$-0.203788\pi$
$929$	14150.6	+	10076.6i	0.499748	+	0.355869i	−0.302218	+	0.953239i	$0.597727\pi$
$930$	−522.341	+	153.373i	−0.0184175	+	0.00540785i
$931$	−12060.6	+	35641.0i	−0.424565	+	1.25466i
$932$	22772.4	−	26280.7i	0.800359	−	0.923663i
$933$	−3021.34	−	2880.85i	−0.106018	−	0.101088i
$934$	8981.32	+	857.612i	0.314644	+	0.0300449i
$935$	−7838.17	+	373.378i	−0.274156	+	0.0130597i
$936$	2905.55	−	704.879i	0.101465	−	0.0246150i
$937$	−4007.66	−	27873.9i	−0.139727	−	0.971825i	−0.932207	−	0.361926i	$-0.882119\pi$
$937$	−4007.66	−	27873.9i	−0.139727	−	0.971825i	0.792479	−	0.609899i	$-0.208790\pi$
$938$	−937.858	−	3153.73i	−0.0326462	−	0.109779i
$939$	−43171.3	−	6207.10i	−1.50037	−	0.215720i
$940$	−1097.11	−	52.2617i	−0.0380678	−	0.00181339i
$941$	6966.61	−	1342.70i	0.241344	−	0.0465153i	−0.0671445	−	0.997743i	$-0.521389\pi$
$941$	6966.61	−	1342.70i	0.241344	−	0.0465153i	0.308489	+	0.951228i	$0.400177\pi$
$942$	−8910.54	−	5144.50i	−0.308196	−	0.177937i
$943$	15061.5	−	12445.8i	0.520116	−	0.429791i
$944$		−	13481.6i		−	0.464820i
$945$	16912.3	+	41825.7i	0.582176	+	1.43978i
$946$	1440.39	+	925.685i	0.0495045	+	0.0318146i
$947$	3762.59	−	1506.31i	0.129111	−	0.0516881i	−0.306207	−	0.951965i	$-0.599060\pi$
$947$	3762.59	−	1506.31i	0.129111	−	0.0516881i	0.435318	+	0.900277i	$0.356636\pi$
$948$	−5845.48	−	8208.83i	−0.200266	−	0.281234i
$949$	−56016.9	−	22425.8i	−1.91611	−	0.767093i
$950$	−2921.76	−	12043.7i	−0.0997836	−	0.411313i
$951$	24403.4	+	37972.5i	0.832108	+	1.29479i
$952$	2227.08	+	3104.76i	0.0758196	+	0.105700i
$953$	9050.98	+	30824.8i	0.307649	+	1.04776i	0.957677	+	0.287847i	$0.0929393\pi$
$953$	9050.98	+	30824.8i	0.307649	+	1.04776i	−0.650027	+	0.759911i	$0.725242\pi$
$954$	32.6303	−	169.302i	0.00110739	−	0.00574566i
$955$	−31631.0	+	10947.6i	−1.07179	+	0.370949i
$956$	2531.51	−	10435.0i	0.0856433	−	0.353026i
$957$	12774.5	−	17939.2i	0.431494	−	0.605949i
$958$	−2154.82	+	1384.82i	−0.0726713	+	0.0467030i
$959$	5025.81	−	54624.9i	0.169230	−	1.83934i
$960$	−21964.3	+	3157.99i	−0.738431	+	0.106170i
$961$	−29579.3	+	2824.48i	−0.992894	+	0.0948099i
$962$	13429.3	+	10560.9i	0.450082	+	0.353948i
$963$	1352.67	+	2623.81i	0.0452639	+	0.0877998i
$964$	4640.05	−	13406.5i	0.155027	−	0.447921i
$965$	45898.5			1.53111
$966$	−7689.85	+	949.466i	−0.256125	+	0.0316238i
$967$	−15174.4			−0.504628			−0.252314	−	0.967645i	$-0.581192\pi$
$967$	−15174.4			−0.504628			−0.252314	+	0.967645i	$0.581192\pi$
$968$	−2084.87	+	6023.84i	−0.0692255	+	0.200014i
$969$	−4045.28	−	7846.74i	−0.134110	−	0.260138i
$970$	10698.1	+	8413.11i	0.354120	+	0.278483i
$971$	−6226.03	+	594.514i	−0.205770	+	0.0196487i	−0.197432	−	0.980317i	$-0.563260\pi$
$971$	−6226.03	+	594.514i	−0.205770	+	0.0196487i	−0.00833813	+	0.999965i	$0.502654\pi$
$972$	−8638.91	+	1242.09i	−0.285075	+	0.0409876i
$973$	23670.5	−	10908.8i	0.779897	−	0.359426i
$974$	−14198.1	+	9124.56i	−0.467080	+	0.300174i
$975$	22531.8	−	31641.5i	0.740098	−	1.03932i
$976$	5845.48	−	24095.4i	0.191710	−	0.790240i
$977$	−26801.6	+	9276.12i	−0.877645	+	0.303756i	−0.728489	−	0.685058i	$-0.759777\pi$
$977$	−26801.6	+	9276.12i	−0.877645	+	0.303756i	−0.149156	+	0.988814i	$0.547656\pi$
$978$	610.554	−	3167.85i	0.0199625	−	0.103575i
$979$	−10479.7	−	35690.4i	−0.342116	−	1.16514i
$980$	39539.2	−	11906.9i	1.28881	−	0.388114i
$981$	−3936.18	−	6124.81i	−0.128106	−	0.199338i
$982$	2319.32	+	9560.36i	0.0753691	+	0.310676i
$983$	−8854.37	−	3544.76i	−0.287295	−	0.115015i	0.223539	−	0.974695i	$-0.428239\pi$
$983$	−8854.37	−	3544.76i	−0.287295	−	0.115015i	−0.510834	+	0.859680i	$0.670663\pi$
$984$	−5988.64	−	8409.86i	−0.194015	−	0.272456i
$985$	71097.1	−	28463.0i	2.29984	−	0.920716i
$986$	1833.39	+	1178.25i	0.0592160	+	0.0380558i
$987$	111.906	−	797.865i	0.00360892	−	0.0257308i
$988$			46356.0i			1.49269i
$989$	4346.08	+	7123.85i	0.139735	+	0.229045i
$990$	1365.75	+	788.515i	0.0438448	+	0.0253138i
$991$	−2304.13	+	444.085i	−0.0738578	+	0.0142349i	−0.226046	−	0.974117i	$-0.572580\pi$
$991$	−2304.13	+	444.085i	−0.0738578	+	0.0142349i	0.152188	+	0.988351i	$0.451368\pi$
$992$	−1201.44	−	57.2317i	−0.0384534	−	0.00183176i
$993$	43471.9	+	6250.31i	1.38926	+	0.199746i
$994$	−810.401	−	767.392i	−0.0258595	−	0.0244871i
$995$	7228.46	+	50275.1i	0.230309	+	1.60184i
$996$	17440.7	−	4231.07i	0.554849	−	0.134605i
$997$	21167.8	−	1008.35i	0.672410	−	0.0320308i	0.291399	−	0.956602i	$-0.405879\pi$
$997$	21167.8	−	1008.35i	0.672410	−	0.0320308i	0.381010	+	0.924571i	$0.375576\pi$
$998$	7264.28	+	693.655i	0.230408	+	0.0220013i
$999$	−40399.2	−	38520.6i	−1.27945	−	1.21996i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	161.4.o.a.10.26	✓	920
7.5	odd	6	inner	161.4.o.a.33.21	yes	920
23.7	odd	22	inner	161.4.o.a.122.21	yes	920
161.145	even	66	inner	161.4.o.a.145.26	yes	920

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
161.4.o.a.10.26	✓	920	1.1	even	1	trivial
161.4.o.a.33.21	yes	920	7.5	odd	6	inner
161.4.o.a.122.21	yes	920	23.7	odd	22	inner
161.4.o.a.145.26	yes	920	161.145	even	66	inner

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 $\F_{q}$
Belyi maps

Level:	\( N \)	\(=\)	\( 161 = 7 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 4 \)
Character orbit:	\([\chi]\)	\(=\)	161.o (of order \(66\), degree \(20\), minimal)

\(f(q)\)	\(=\)	\(q+(0.260164 - 0.751695i) q^{2} +(-2.18492 - 4.23815i) q^{3} +(5.79107 + 4.55414i) q^{4} +(-16.2670 + 1.55331i) q^{5} +(-3.75423 + 0.539777i) q^{6} +(7.75170 + 16.8200i) q^{7} +(10.2833 - 6.60868i) q^{8} +(2.47349 - 3.47352i) q^{9} +(-3.06447 + 12.6319i) q^{10} +(26.8873 - 9.30578i) q^{11} +(6.64814 - 34.4938i) q^{12} +(16.1599 + 55.0355i) q^{13} +(14.6602 - 1.45097i) q^{14} +(42.1251 + 65.5479i) q^{15} +(11.6028 + 47.8275i) q^{16} +(15.6688 + 6.27284i) q^{17} +(-1.96752 - 2.76299i) q^{18} +(101.840 - 40.7705i) q^{19} +(-101.277 - 65.0867i) q^{20} +(54.3487 - 69.6031i) q^{21} -22.6321i q^{22} +(48.1574 - 99.2364i) q^{23} +(-50.4768 - 29.1428i) q^{24} +(139.460 - 26.8787i) q^{25} +(45.5742 + 2.17096i) q^{26} +(-147.557 - 21.2155i) q^{27} +(-31.7099 + 132.708i) q^{28} +(23.1022 + 160.679i) q^{29} +(60.2315 - 14.6120i) q^{30} +(-8.77362 + 0.417939i) q^{31} +(136.318 + 13.0168i) q^{32} +(-98.1858 - 93.6200i) q^{33} +(8.79172 - 10.1462i) q^{34} +(-152.223 - 261.569i) q^{35} +(30.1430 - 8.85080i) q^{36} +(305.016 + 217.201i) q^{37} +(-4.15192 - 87.1595i) q^{38} +(197.941 - 188.736i) q^{39} +(-157.013 + 123.476i) q^{40} +(161.125 + 73.5832i) q^{41} +(-38.1807 - 58.9619i) q^{42} +(-40.9015 + 63.6439i) q^{43} +(198.086 + 68.5582i) q^{44} +(-34.8406 + 60.3457i) q^{45} +(-62.0666 - 62.0174i) q^{46} +(7.90111 - 4.56171i) q^{47} +(177.349 - 153.674i) q^{48} +(-222.822 + 260.767i) q^{49} +(16.0779 - 111.824i) q^{50} +(-7.64980 - 80.1123i) q^{51} +(-157.057 + 392.309i) q^{52} +(35.0779 + 36.7886i) q^{53} +(-54.3366 + 105.398i) q^{54} +(-422.919 + 193.141i) q^{55} +(190.871 + 121.736i) q^{56} +(-395.303 - 342.532i) q^{57} +(126.792 + 24.4372i) q^{58} +(-266.213 - 64.5825i) q^{59} +(-54.5655 + 571.436i) q^{60} +(-447.793 - 230.853i) q^{61} +(-1.96842 + 6.70382i) q^{62} +(77.5983 + 14.6782i) q^{63} +(-118.307 + 259.056i) q^{64} +(-348.359 - 870.159i) q^{65} +(-95.9181 + 49.4492i) q^{66} +(-42.2677 - 219.306i) q^{67} +(62.1716 + 107.684i) q^{68} +(-525.799 + 12.7249i) q^{69} +(-236.223 + 46.3746i) q^{70} +(-49.6122 - 57.2556i) q^{71} +(2.48020 - 52.0658i) q^{72} +(-650.276 + 826.893i) q^{73} +(242.623 - 172.771i) q^{74} +(-418.624 - 532.324i) q^{75} +(775.436 + 227.689i) q^{76} +(364.945 + 380.107i) q^{77} +(-90.3749 - 197.893i) q^{78} +(197.964 - 207.619i) q^{79} +(-263.033 - 759.985i) q^{80} +(194.829 + 562.921i) q^{81} +(97.2309 - 101.973i) q^{82} +(212.228 + 464.714i) q^{83} +(631.719 - 155.565i) q^{84} +(-264.627 - 77.7015i) q^{85} +(37.1997 + 47.3033i) q^{86} +(630.506 - 448.981i) q^{87} +(214.991 - 273.384i) q^{88} +(62.2067 - 1305.88i) q^{89} +(36.2973 + 41.8893i) q^{90} +(-800.429 + 698.428i) q^{91} +(730.820 - 355.368i) q^{92} +(20.9409 + 36.2707i) q^{93} +(-1.37343 - 7.12602i) q^{94} +(-1593.30 + 821.401i) q^{95} +(-242.676 - 606.176i) q^{96} +(434.963 - 952.435i) q^{97} +(138.047 + 235.336i) q^{98} +(34.1814 - 116.411i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 920 q - 11 q^{2} - 27 q^{3} + 157 q^{4} - 33 q^{5} - 22 q^{7} - 104 q^{8} - 359 q^{9} - 33 q^{10} - 11 q^{11} - 75 q^{12} - 22 q^{14} - 44 q^{15} + 1157 q^{16} - 33 q^{17} + 179 q^{18} - 33 q^{19} - 1342 q^{21}+ \cdots + 23056 q^{99}+O(q^{100}) \) 920 * q - 11 * q^2 - 27 * q^3 + 157 * q^4 - 33 * q^5 - 22 * q^7 - 104 * q^8 - 359 * q^9 - 33 * q^10 - 11 * q^11 - 75 * q^12 - 22 * q^14 - 44 * q^15 + 1157 * q^16 - 33 * q^17 + 179 * q^18 - 33 * q^19 - 1342 * q^21 - 494 * q^23 - 570 * q^24 + 1269 * q^25 - 609 * q^26 + 682 * q^28 - 348 * q^29 + 1485 * q^30 + 105 * q^31 - 1017 * q^32 - 33 * q^33 + 966 * q^35 + 4354 * q^36 - 1199 * q^37 - 33 * q^38 + 5 * q^39 - 33 * q^40 - 3652 * q^42 - 3476 * q^43 + 3388 * q^44 + 477 * q^46 - 1188 * q^47 - 1408 * q^49 - 3234 * q^50 + 649 * q^51 + 1911 * q^52 - 11 * q^53 - 1659 * q^54 + 9361 * q^56 + 7612 * q^57 - 4198 * q^58 - 915 * q^59 - 11 * q^60 - 33 * q^61 - 2112 * q^63 - 5064 * q^64 - 4323 * q^65 + 858 * q^66 - 11 * q^67 - 2478 * q^70 + 1732 * q^71 - 9181 * q^72 - 3987 * q^73 + 2354 * q^74 + 2871 * q^75 + 2164 * q^77 - 24268 * q^78 + 1837 * q^79 + 12144 * q^80 + 3035 * q^81 + 5823 * q^82 + 11330 * q^84 + 13676 * q^85 + 5225 * q^86 - 24657 * q^87 - 12342 * q^88 - 33 * q^89 + 9810 * q^92 - 1440 * q^93 - 15858 * q^94 - 4187 * q^95 + 2439 * q^96 - 11284 * q^98 + 23056 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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