LMFDB - Embedded newform 207.4.m.a.4.2

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [207,4,Mod(4,207)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(207, base_ring=CyclotomicField(66)) chi = DirichletCharacter(H, H._module([22, 12])) N = Newforms(chi, 4, names="a")

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("207.4"); S:= CuspForms(chi, 4); N := Newforms(S);

Level:	$ N $	$=$	$ 207 = 3^{2} \cdot 23 $
Weight:	$ k $	$=$	$ 4 $
Character orbit:	$[\chi]$	$=$	207.m (of order $33$, 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:	$12.2133953712$
Analytic rank:	$0$
Dimension:	$1400$
Relative dimension:	$70$ over $\Q(\zeta_{33})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{33}]$

Embedding invariants

Embedding label			4.2
Character	$\chi$	$=$	207.4
Dual form			207.4.m.a.52.2

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-3.11000 + 4.36738i) q^{2} +(0.691500 - 5.14993i) q^{3} +(-6.78539 - 19.6051i) q^{4} +(6.99819 - 3.60782i) q^{5} +(20.3412 + 19.0363i) q^{6} +(28.6222 - 22.5088i) q^{7} +(65.5705 + 19.2532i) q^{8} +(-26.0437 - 7.12236i) q^{9} +(-6.00764 + 41.7841i) q^{10} +(-7.29021 + 0.696131i) q^{11} +(-105.657 + 21.3874i) q^{12} +(-47.0870 - 37.0296i) q^{13} +(9.28930 + 195.006i) q^{14} +(-13.7408 - 38.5350i) q^{15} +(-157.550 + 123.899i) q^{16} +(4.52631 + 5.22364i) q^{17} +(112.102 - 91.5920i) q^{18} +(74.7985 - 86.3221i) q^{19} +(-118.217 - 112.720i) q^{20} +(-96.1264 - 162.967i) q^{21} +(19.6323 - 34.0041i) q^{22} +(-54.1182 + 96.1157i) q^{23} +(144.495 - 324.370i) q^{24} +(-36.5488 + 51.3256i) q^{25} +(308.163 - 90.4848i) q^{26} +(-54.6889 + 129.198i) q^{27} +(-635.499 - 408.410i) q^{28} +(53.8190 - 155.500i) q^{29} +(211.031 + 59.8327i) q^{30} +(-169.986 + 162.081i) q^{31} +(-25.1192 - 527.316i) q^{32} +(-1.45615 + 38.0255i) q^{33} +(-36.8905 + 3.52261i) q^{34} +(119.096 - 260.784i) q^{35} +(37.0817 + 558.916i) q^{36} +(-12.1794 + 7.82723i) q^{37} +(144.378 + 595.135i) q^{38} +(-223.261 + 216.889i) q^{39} +(528.337 - 101.829i) q^{40} +(115.814 - 59.7065i) q^{41} +(1010.69 + 87.0077i) q^{42} +(105.000 + 100.117i) q^{43} +(63.1146 + 138.202i) q^{44} +(-207.955 + 44.1171i) q^{45} +(-251.466 - 535.274i) q^{46} +(-135.324 - 234.389i) q^{47} +(529.125 + 897.049i) q^{48} +(231.722 - 955.170i) q^{49} +(-110.492 - 319.245i) q^{50} +(30.0314 - 19.6981i) q^{51} +(-406.466 + 1174.41i) q^{52} +(18.0632 + 125.633i) q^{53} +(-394.175 - 640.653i) q^{54} +(-48.5068 + 31.1734i) q^{55} +(2310.14 - 924.841i) q^{56} +(-392.830 - 444.899i) q^{57} +(511.750 + 718.652i) q^{58} +(425.990 + 335.002i) q^{59} +(-662.246 + 530.864i) q^{60} +(-43.4002 - 178.898i) q^{61} +(-179.214 - 1246.46i) q^{62} +(-905.743 + 382.353i) q^{63} +(1032.20 + 663.353i) q^{64} +(-463.120 - 89.2591i) q^{65} +(-161.543 - 124.619i) q^{66} +(0.206498 + 0.0197182i) q^{67} +(71.6972 - 124.183i) q^{68} +(457.567 + 345.169i) q^{69} +(768.556 + 1331.18i) q^{70} +(-282.466 - 618.513i) q^{71} +(-1570.57 - 968.442i) q^{72} +(154.311 - 178.084i) q^{73} +(3.69344 - 77.5348i) q^{74} +(239.050 + 223.715i) q^{75} +(-2199.89 - 880.702i) q^{76} +(-192.993 + 184.018i) q^{77} +(-252.896 - 1649.59i) q^{78} +(95.3584 - 38.1758i) q^{79} +(-655.562 + 1435.48i) q^{80} +(627.544 + 370.985i) q^{81} +(-99.4217 + 691.493i) q^{82} +(-863.407 - 445.117i) q^{83} +(-2542.73 + 2990.36i) q^{84} +(50.5220 + 20.2259i) q^{85} +(-763.797 + 147.210i) q^{86} +(-763.597 - 384.692i) q^{87} +(-491.426 - 94.7145i) q^{88} +(-416.396 + 122.265i) q^{89} +(454.062 - 1045.42i) q^{90} -2181.23 q^{91} +(2251.57 + 408.809i) q^{92} +(717.161 + 987.494i) q^{93} +(1444.52 + 137.935i) q^{94} +(212.020 - 873.958i) q^{95} +(-2733.01 - 235.277i) q^{96} +(76.0489 - 1596.46i) q^{97} +(3450.94 + 3982.59i) q^{98} +(194.822 + 33.7937i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 1400 q - 9 q^{2} - 14 q^{3} + 263 q^{4} + 19 q^{5} - 35 q^{6} - 9 q^{7} - 74 q^{8} - 78 q^{9} - 68 q^{10} + 79 q^{11} + 54 q^{12} - 9 q^{13} + 159 q^{14} - 868 q^{15} + 1031 q^{16} - 308 q^{17} - 87 q^{18}+ \cdots + 7484 q^{99}+O(q^{100}) $ 1400 * q - 9 * q^2 - 14 * q^3 + 263 * q^4 + 19 * q^5 - 35 * q^6 - 9 * q^7 - 74 * q^8 - 78 * q^9 - 68 * q^10 + 79 * q^11 + 54 * q^12 - 9 * q^13 + 159 * q^14 - 868 * q^15 + 1031 * q^16 - 308 * q^17 - 87 * q^18 - 36 * q^19 + 119 * q^20 - 660 * q^21 - 52 * q^22 - 116 * q^23 + 2420 * q^24 + 1397 * q^25 + 432 * q^26 + 274 * q^27 - 324 * q^28 - 45 * q^29 + 768 * q^30 - 45 * q^31 + 111 * q^32 - 1664 * q^33 + 403 * q^34 - 536 * q^35 - 121 * q^36 - 180 * q^37 - 117 * q^38 - 46 * q^39 - 473 * q^40 - 333 * q^41 - 332 * q^42 - 9 * q^43 - 1908 * q^44 + 1762 * q^45 + 484 * q^46 + 216 * q^47 + 1072 * q^48 + 4615 * q^49 - 105 * q^50 + 1298 * q^51 - 708 * q^52 - 1380 * q^53 + 4116 * q^54 - 1328 * q^55 - 3971 * q^56 + 2154 * q^57 - 338 * q^58 + 1917 * q^59 + 154 * q^60 + 27 * q^61 - 3854 * q^62 - 4850 * q^63 - 5854 * q^64 + 3363 * q^65 - 2017 * q^66 + 603 * q^67 - 18454 * q^68 - 4653 * q^69 + 542 * q^70 - 5296 * q^71 - 8044 * q^72 - 36 * q^73 + 3243 * q^74 + 5140 * q^75 - 1029 * q^76 - 1661 * q^77 + 14687 * q^78 - 9 * q^79 + 10312 * q^80 - 294 * q^81 - 770 * q^82 - 2735 * q^83 + 2298 * q^84 + 241 * q^85 + 10507 * q^86 - 10268 * q^87 + 2183 * q^88 - 2980 * q^89 + 33928 * q^90 - 1452 * q^91 - 1973 * q^92 - 11406 * q^93 + 2034 * q^94 - 3339 * q^95 - 4446 * q^96 - 5193 * q^97 + 14820 * q^98 + 7484 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/207\mathbb{Z}\right)^\times$.

$n$	$28$	$47$
$\chi(n)$	$e\left(\frac{2}{11}\right)$	$e\left(\frac{1}{3}\right)$

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 $

$2$	−3.11000	+	4.36738i	−1.09955	+	1.54410i	−0.290023	+	0.957020i	$0.593663\pi$
$2$	−3.11000	+	4.36738i	−1.09955	+	1.54410i	−0.809527	+	0.587083i	$0.800276\pi$
$3$	0.691500	−	5.14993i	0.133079	−	0.991105i
$3$	0.691500	−	5.14993i	0.133079	−	0.991105i
$4$	−6.78539	−	19.6051i	−0.848173	−	2.45064i
$5$	6.99819	−	3.60782i	0.625937	−	0.322693i	−0.115912	−	0.993259i	$-0.536979\pi$
$5$	6.99819	−	3.60782i	0.625937	−	0.322693i	0.741850	+	0.670566i	$0.233949\pi$
$6$	20.3412	+	19.0363i	1.38404	+	1.29526i
$7$	28.6222	−	22.5088i	1.54545	−	1.21536i	0.659386	−	0.751805i	$-0.270816\pi$
$7$	28.6222	−	22.5088i	1.54545	−	1.21536i	0.886069	−	0.463554i	$-0.153426\pi$
$8$	65.5705	+	19.2532i	2.89784	+	0.850881i
$9$	−26.0437	−	7.12236i	−0.964580	−	0.263791i
$10$	−6.00764	+	41.7841i	−0.189978	+	1.32133i
$11$	−7.29021	+	0.696131i	−0.199826	+	0.0190810i	−0.194489	−	0.980905i	$-0.562305\pi$
$11$	−7.29021	+	0.696131i	−0.199826	+	0.0190810i	−0.00533671	+	0.999986i	$0.501699\pi$
$12$	−105.657	+	21.3874i	−2.54171	+	0.514500i
$13$	−47.0870	−	37.0296i	−1.00458	−	0.790013i	−0.0268024	−	0.999641i	$-0.508532\pi$
$13$	−47.0870	−	37.0296i	−1.00458	−	0.790013i	−0.977781	+	0.209627i	$0.932775\pi$
$14$	9.28930	+	195.006i	0.177333	+	3.72269i
$15$	−13.7408	−	38.5350i	−0.236524	−	0.663314i
$16$	−157.550	+	123.899i	−2.46172	+	1.93592i
$17$	4.52631	+	5.22364i	0.0645760	+	0.0745247i	0.787118	−	0.616802i	$-0.211572\pi$
$17$	4.52631	+	5.22364i	0.0645760	+	0.0745247i	−0.722542	+	0.691327i	$0.757027\pi$
$18$	112.102	−	91.5920i	1.46792	−	1.19936i
$19$	74.7985	−	86.3221i	0.903155	−	1.04230i	−0.0957447	−	0.995406i	$-0.530523\pi$
$19$	74.7985	−	86.3221i	0.903155	−	1.04230i	0.998900	−	0.0468909i	$-0.0149313\pi$
$20$	−118.217	−	112.720i	−1.32171	−	1.26024i
$21$	−96.1264	−	162.967i	−0.998881	−	1.69345i
$22$	19.6323	−	34.0041i	0.190255	−	0.329532i
$23$	−54.1182	+	96.1157i	−0.490627	+	0.871370i
$23$	−54.1182	+	96.1157i	−0.490627	+	0.871370i
$24$	144.495	−	324.370i	1.22895	−	2.75883i
$25$	−36.5488	+	51.3256i	−0.292390	+	0.410605i
$26$	308.163	−	90.4848i	2.32445	−	0.682521i
$27$	−54.6889	+	129.198i	−0.389810	+	0.920895i
$28$	−635.499	−	408.410i	−4.28921	−	2.75651i
$29$	53.8190	−	155.500i	0.344618	−	0.995709i	−0.630914	−	0.775853i	$-0.717320\pi$
$29$	53.8190	−	155.500i	0.344618	−	0.995709i	0.975532	−	0.219856i	$-0.0705589\pi$
$30$	211.031	+	59.8327i	1.28429	+	0.364130i
$31$	−169.986	+	162.081i	−0.984849	+	0.939052i	−0.998146	−	0.0608598i	$-0.980616\pi$
$31$	−169.986	+	162.081i	−0.984849	+	0.939052i	0.0132972	+	0.999912i	$0.495767\pi$
$32$	−25.1192	−	527.316i	−0.138765	−	2.91304i
$33$	−1.45615	+	38.0255i	−0.00768133	+	0.200587i
$34$	−36.8905	+	3.52261i	−0.186078	+	0.0177683i
$35$	119.096	−	260.784i	0.575170	−	1.25945i
$36$	37.0817	+	558.916i	0.171675	+	2.58757i
$37$	−12.1794	+	7.82723i	−0.0541158	+	0.0347781i	−0.567419	−	0.823429i	$-0.692058\pi$
$37$	−12.1794	+	7.82723i	−0.0541158	+	0.0347781i	0.513303	+	0.858207i	$0.328422\pi$
$38$	144.378	+	595.135i	0.616348	+	2.54062i
$39$	−223.261	+	216.889i	−0.916676	+	0.890514i
$40$	528.337	−	101.829i	2.08844	−	0.402513i
$41$	115.814	−	59.7065i	0.441151	−	0.227429i	−0.223317	−	0.974746i	$-0.571689\pi$
$41$	115.814	−	59.7065i	0.441151	−	0.227429i	0.664468	+	0.747317i	$0.268658\pi$
$42$	1010.69	+	87.0077i	3.71318	+	0.319656i
$43$	105.000	+	100.117i	0.372379	+	0.355062i	0.853041	−	0.521843i	$-0.174755\pi$
$43$	105.000	+	100.117i	0.372379	+	0.355062i	−0.480663	+	0.876906i	$0.659604\pi$
$44$	63.1146	+	138.202i	0.216247	+	0.473516i
$45$	−207.955	+	44.1171i	−0.688890	+	0.146147i
$46$	−251.466	−	535.274i	−0.806015	−	1.71569i
$47$	−135.324	−	234.389i	−0.419981	−	0.727428i	0.575956	−	0.817481i	$-0.304630\pi$
$47$	−135.324	−	234.389i	−0.419981	−	0.727428i	−0.995937	+	0.0900525i	$0.971297\pi$
$48$	529.125	+	897.049i	1.59110	+	2.69746i
$49$	231.722	−	955.170i	0.675573	−	2.78475i
$50$	−110.492	−	319.245i	−0.312518	−	0.902961i
$51$	30.0314	−	19.6981i	0.0824556	−	0.0540839i
$52$	−406.466	+	1174.41i	−1.08397	+	3.13194i
$53$	18.0632	+	125.633i	0.0468147	+	0.325603i	0.999749	+	0.0224249i	$0.00713868\pi$
$53$	18.0632	+	125.633i	0.0468147	+	0.325603i	−0.952934	+	0.303178i	$0.901952\pi$
$54$	−394.175	−	640.653i	−0.993340	−	1.61448i
$55$	−48.5068	+	31.1734i	−0.118921	+	0.0764258i
$56$	2310.14	−	924.841i	5.51260	−	2.20691i
$57$	−392.830	−	444.899i	−0.912835	−	1.03383i
$58$	511.750	+	718.652i	1.15855	+	1.62696i
$59$	425.990	+	335.002i	0.939986	+	0.739213i	0.965484	−	0.260462i	$-0.0838747\pi$
$59$	425.990	+	335.002i	0.939986	+	0.739213i	−0.0254980	+	0.999675i	$0.508117\pi$
$60$	−662.246	+	530.864i	−1.42493	+	1.14224i
$61$	−43.4002	−	178.898i	−0.0910955	−	0.375501i	0.907955	−	0.419068i	$-0.137643\pi$
$61$	−43.4002	−	178.898i	−0.0910955	−	0.375501i	−0.999051	+	0.0435668i	$0.986128\pi$
$62$	−179.214	−	1246.46i	−0.367101	−	2.55324i
$63$	−905.743	+	382.353i	−1.81132	+	0.764633i
$64$	1032.20	+	663.353i	2.01601	+	1.29561i
$65$	−463.120	−	89.2591i	−0.883738	−	0.170327i
$66$	−161.543	−	124.619i	−0.301282	−	0.232417i
$67$	0.206498	+	0.0197182i	0.000376534	+	3.59546e-5i	0.0952443	−	0.995454i	$-0.469637\pi$
$67$	0.206498	+	0.0197182i	0.000376534	+	3.59546e-5i	−0.0948678	+	0.995490i	$0.530243\pi$
$68$	71.6972	−	124.183i	0.127861	−	0.221462i
$69$	457.567	+	345.169i	0.798327	+	0.602224i
$70$	768.556	+	1331.18i	1.31229	+	2.27294i
$71$	−282.466	−	618.513i	−0.472148	−	1.03386i	−0.984548	−	0.175113i	$-0.943971\pi$
$71$	−282.466	−	618.513i	−0.472148	−	1.03386i	0.512400	−	0.858747i	$-0.328756\pi$
$72$	−1570.57	−	968.442i	−2.57074	−	1.58517i
$73$	154.311	−	178.084i	0.247407	−	0.285523i	−0.618440	−	0.785832i	$-0.712235\pi$
$73$	154.311	−	178.084i	0.247407	−	0.285523i	0.865847	+	0.500310i	$0.166780\pi$
$74$	3.69344	−	77.5348i	0.00580207	−	0.121801i
$75$	239.050	+	223.715i	0.368041	+	0.344433i
$76$	−2199.89	−	880.702i	−3.32032	−	1.32926i
$77$	−192.993	+	184.018i	−0.285631	+	0.272349i
$78$	−252.896	−	1649.59i	−0.367114	−	2.39461i
$79$	95.3584	−	38.1758i	0.135806	−	0.0543685i	−0.302764	−	0.953066i	$-0.597909\pi$
$79$	95.3584	−	38.1758i	0.135806	−	0.0543685i	0.438570	+	0.898697i	$0.355485\pi$
$80$	−655.562	+	1435.48i	−0.916175	+	2.00614i
$81$	627.544	+	370.985i	0.860828	+	0.508895i
$82$	−99.4217	+	691.493i	−0.133894	+	0.931252i
$83$	−863.407	−	445.117i	−1.14182	−	0.588650i	−0.219707	−	0.975566i	$-0.570510\pi$
$83$	−863.407	−	445.117i	−1.14182	−	0.588650i	−0.922115	+	0.386916i	$0.873540\pi$
$84$	−2542.73	+	2990.36i	−3.30280	+	3.88423i
$85$	50.5220	+	20.2259i	0.0644691	+	0.0258096i
$86$	−763.797	+	147.210i	−0.957702	+	0.184582i
$87$	−763.597	−	384.692i	−0.940991	−	0.474061i
$88$	−491.426	−	94.7145i	−0.595297	−	0.114734i
$89$	−416.396	+	122.265i	−0.495932	+	0.145619i	−0.520128	−	0.854088i	$-0.674116\pi$
$89$	−416.396	+	122.265i	−0.495932	+	0.145619i	0.0241958	+	0.999707i	$0.492297\pi$
$90$	454.062	−	1045.42i	0.531804	−	1.22441i
$91$	−2181.23			−2.51269
$92$	2251.57	+	408.809i	2.55155	+	0.463275i
$93$	717.161	+	987.494i	0.799636	+	1.10106i
$94$	1444.52	+	137.935i	1.58501	+	0.151350i
$95$	212.020	−	873.958i	0.228977	−	0.943854i
$96$	−2733.01	−	235.277i	−2.90559	−	0.250134i
$97$	76.0489	−	1596.46i	0.0796041	−	1.67109i	−0.507552	−	0.861621i	$-0.669449\pi$
$97$	76.0489	−	1596.46i	0.0796041	−	1.67109i	0.587156	−	0.809474i	$-0.300247\pi$
$98$	3450.94	+	3982.59i	3.55711	+	4.10513i
$99$	194.822	+	33.7937i	0.197781	+	0.0343070i
$100$	1254.24	+	368.278i	1.25424	+	0.368278i
$101$	−294.986	−	152.076i	−0.290616	−	0.149823i	0.306754	−	0.951789i	$-0.400757\pi$
$101$	−294.986	−	152.076i	−0.290616	−	0.149823i	−0.597370	+	0.801966i	$0.703787\pi$
$102$	−7.36854	+	192.419i	−0.00715289	+	0.186788i
$103$	460.915	+	647.264i	0.440925	+	0.619192i	0.973911	−	0.226932i	$-0.0728695\pi$
$103$	460.915	+	647.264i	0.440925	+	0.619192i	−0.532986	+	0.846124i	$0.678930\pi$
$104$	−2374.58	−	3334.63i	−2.23891	−	3.14411i
$105$	−1260.67	−	793.670i	−1.17170	−	0.737660i
$106$	−604.862	−	311.828i	−0.554240	−	0.285730i
$107$	1304.00	+	382.890i	1.17816	+	0.345938i	0.811463	−	0.584404i	$-0.198671\pi$
$107$	1304.00	+	382.890i	1.17816	+	0.345938i	0.366694	+	0.930342i	$0.380490\pi$
$108$	2904.02	+	195.522i	2.58740	+	0.174205i
$109$	608.598	+	702.359i	0.534799	+	0.617191i	0.957274	−	0.289184i	$-0.0933839\pi$
$109$	608.598	+	702.359i	0.534799	+	0.617191i	−0.422475	+	0.906375i	$0.638838\pi$
$110$	14.7098	−	308.797i	0.0127502	−	0.267660i
$111$	31.8877	+	68.1357i	0.0272671	+	0.0582627i
$112$	−1720.63	+	7092.52i	−1.45164	+	5.98375i
$113$	−877.055	−	83.7486i	−0.730145	−	0.0697204i	−0.276639	−	0.960974i	$-0.589221\pi$
$113$	−877.055	−	83.7486i	−0.730145	−	0.0697204i	−0.453505	+	0.891253i	$0.649827\pi$
$114$	3164.74	−	332.002i	2.60005	−	0.272762i
$115$	−31.9613	+	867.885i	−0.0259166	+	0.703745i
$116$	−3413.77			−2.73242
$117$	962.580	+	1299.76i	0.760603	+	1.02703i
$118$	−2787.91	+	818.605i	−2.17498	+	0.638633i
$119$	247.131	+	47.6306i	0.190374	+	0.0366915i
$120$	−159.066	−	2791.32i	−0.121005	−	2.12343i
$121$	−1254.28	+	241.744i	−0.942363	+	0.181625i
$122$	916.291	+	366.827i	0.679976	+	0.272221i
$123$	−227.399	−	637.724i	−0.166698	−	0.467493i
$124$	4331.03	+	2232.80i	3.13660	+	1.61703i
$125$	−210.665	+	1465.21i	−0.150740	+	1.04842i
$126$	1146.98	−	5144.84i	0.810960	−	3.63761i
$127$	903.600	−	1978.61i	0.631351	−	1.38246i	−0.275618	−	0.961267i	$-0.588883\pi$
$127$	903.600	−	1978.61i	0.631351	−	1.38246i	0.906969	−	0.421198i	$-0.138390\pi$
$128$	−2186.46	+	875.327i	−1.50983	+	0.604443i
$129$	588.203	−	471.510i	0.401460	−	0.321815i
$130$	1830.13	−	1745.03i	1.23472	−	1.17730i
$131$	−286.988	−	114.893i	−0.191406	−	0.0766276i	0.273979	−	0.961736i	$-0.411660\pi$
$131$	−286.988	−	114.893i	−0.191406	−	0.0766276i	−0.465386	+	0.885108i	$0.654084\pi$
$132$	755.373	−	229.469i	0.498082	−	0.151309i
$133$	197.896	−	4154.35i	0.129021	−	2.70848i
$134$	−0.728325	+	0.840532i	−0.000469535	+	0.000541872i
$135$	83.3996	+	1101.46i	0.0531696	+	0.702212i
$136$	196.221	+	429.663i	0.123719	+	0.270907i
$137$	1010.03	+	1749.42i	0.629871	+	1.09097i	0.987577	+	0.157134i	$0.0502255\pi$
$137$	1010.03	+	1749.42i	0.629871	+	1.09097i	−0.357707	+	0.933834i	$0.616441\pi$
$138$	−2930.52	+	924.894i	−1.80770	+	0.570523i
$139$	531.145	−	919.971i	0.324109	−	0.561373i	−0.657223	−	0.753696i	$-0.728269\pi$
$139$	531.145	−	919.971i	0.324109	−	0.561373i	0.981332	+	0.192323i	$0.0616022\pi$
$140$	−5920.81	−	565.369i	−3.57429	−	0.341303i
$141$	−1300.66	+	534.832i	−0.776849	+	0.319440i
$142$	3579.75	+	689.940i	2.11554	+	0.407736i
$143$	369.052	+	237.175i	0.215816	+	0.138696i
$144$	4985.63	−	2104.65i	2.88520	−	1.21797i
$145$	−184.379	−	1282.39i	−0.105599	−	0.734458i
$146$	297.855	+	1227.77i	0.168840	+	0.695968i
$147$	−4758.83	−	1853.85i	−2.67008	−	1.04016i
$148$	236.096	+	185.668i	0.131128	+	0.103120i
$149$	1483.62	+	2083.45i	0.815723	+	1.14552i	0.987066	+	0.160312i	$0.0512499\pi$
$149$	1483.62	+	2083.45i	0.815723	+	1.14552i	−0.171343	+	0.985211i	$0.554811\pi$
$150$	−1720.50	+	348.267i	−0.936519	+	0.189573i
$151$	−626.524	+	250.822i	−0.337654	+	0.135176i	−0.534292	−	0.845300i	$-0.679422\pi$
$151$	−626.524	+	250.822i	−0.337654	+	0.135176i	0.196638	+	0.980476i	$0.436998\pi$
$152$	6566.56	−	4220.07i	3.50407	−	2.25193i
$153$	−80.6771	−	168.281i	−0.0426298	−	0.0889196i
$154$	−203.471	−	1415.17i	−0.106468	−	0.740504i
$155$	−604.833	+	1747.55i	−0.313428	+	0.905592i
$156$	5767.04	+	2905.37i	2.95982	+	1.49113i
$157$	206.555	+	596.802i	0.104999	+	0.303376i	0.985247	−	0.171139i	$-0.0547447\pi$
$157$	206.555	+	596.802i	0.104999	+	0.303376i	−0.880248	+	0.474515i	$0.842624\pi$
$158$	−129.836	+	535.193i	−0.0653749	+	0.269479i
$159$	659.491	−	6.14954i	0.328937	−	0.00306723i
$160$	−2078.25	−	3599.63i	−1.02688	−	1.77860i
$161$	614.463	+	3969.18i	0.300786	+	1.94295i
$162$	−3571.89	+	1586.96i	−1.73231	+	0.769651i
$163$	−287.422	−	629.365i	−0.138114	−	0.302428i	0.827918	−	0.560849i	$-0.189525\pi$
$163$	−287.422	−	629.365i	−0.138114	−	0.302428i	−0.966032	+	0.258421i	$0.916798\pi$
$164$	−1956.40	−	1865.42i	−0.931518	−	0.888201i
$165$	126.999	+	271.363i	0.0599202	+	0.128034i
$166$	4629.19	−	2386.51i	2.16443	−	1.11584i
$167$	1265.53	−	243.911i	0.586406	−	0.113021i	0.112586	−	0.993642i	$-0.464087\pi$
$167$	1265.53	−	243.911i	0.586406	−	0.113021i	0.473821	+	0.880621i	$0.342875\pi$
$168$	−3165.41	−	12536.6i	−1.45367	−	5.75726i
$169$	328.031	+	1352.16i	0.149308	+	0.615458i
$170$	−245.458	+	157.746i	−0.110740	+	0.0711681i
$171$	−2562.84	+	1715.40i	−1.14611	+	0.767134i
$172$	1250.34	−	2737.86i	0.554287	−	1.21372i
$173$	1692.33	−	161.598i	0.743731	−	0.0710177i	0.283691	−	0.958916i	$-0.408441\pi$
$173$	1692.33	−	161.598i	0.743731	−	0.0710177i	0.460040	+	0.887898i	$0.347835\pi$
$174$	4054.88	−	2138.53i	1.76667	−	0.931733i
$175$	109.168	+	2291.72i	0.0471562	+	0.989930i
$176$	1062.32	−	1012.92i	0.454975	−	0.433818i
$177$	2019.81	−	1962.17i	0.857731	−	0.833251i
$178$	761.014	−	2198.81i	0.320452	−	0.925885i
$179$	2222.24	+	1428.14i	0.927920	+	0.596338i	0.914945	−	0.403578i	$-0.132234\pi$
$179$	2222.24	+	1428.14i	0.927920	+	0.596338i	0.0129748	+	0.999916i	$0.495870\pi$
$180$	2275.97	+	3777.62i	0.942450	+	1.56426i
$181$	828.733	−	243.338i	0.340327	−	0.0999291i	−0.107103	−	0.994248i	$-0.534157\pi$
$181$	828.733	−	243.338i	0.340327	−	0.0999291i	0.447430	+	0.894319i	$0.352339\pi$
$182$	6783.61	−	9526.25i	2.76283	−	3.87985i
$183$	−951.325	+	99.8002i	−0.384284	+	0.0403139i
$184$	−5399.09	+	5260.41i	−2.16319	+	2.10762i
$185$	−56.9946	+	98.7176i	−0.0226504	+	0.0392317i
$186$	−6543.13	+	61.0126i	−2.57939	+	0.0240519i
$187$	−36.6341	−	34.9306i	−0.0143259	−	0.0136598i
$188$	−3676.98	+	4243.46i	−1.42644	+	1.64620i
$189$	1342.77	+	4928.91i	0.516784	+	1.89696i
$190$	3157.53	+	3643.98i	1.20564	+	1.39138i
$191$	−3691.85	+	2903.30i	−1.39860	+	1.09987i	−0.417005	+	0.908904i	$0.636920\pi$
$191$	−3691.85	+	2903.30i	−1.39860	+	1.09987i	−0.981596	+	0.190968i	$0.938837\pi$
$192$	4129.99	−	4857.04i	1.55238	−	1.82566i
$193$	8.46635	+	177.731i	0.00315762	+	0.0662867i	0.999896	−	0.0144124i	$-0.00458776\pi$
$193$	8.46635	+	177.731i	0.00315762	+	0.0662867i	−0.996739	+	0.0806991i	$0.974285\pi$
$194$	6735.85	+	5297.13i	2.49281	+	1.96037i
$195$	−779.926	+	2323.32i	−0.286419	+	0.853211i
$196$	−20298.5	+	1938.27i	−7.39741	+	0.706367i
$197$	−141.681	+	985.416i	−0.0512405	+	0.356386i	0.948029	+	0.318183i	$0.103072\pi$
$197$	−141.681	+	985.416i	−0.0512405	+	0.356386i	−0.999270	+	0.0382031i	$0.987837\pi$
$198$	−753.485	+	745.763i	−0.270444	+	0.267672i
$199$	1391.72	+	408.646i	0.495761	+	0.145569i	0.520049	−	0.854136i	$-0.325914\pi$
$199$	1391.72	+	408.646i	0.495761	+	0.145569i	−0.0242881	+	0.999705i	$0.507732\pi$
$200$	−3384.71	+	2661.76i	−1.19667	+	0.941075i
$201$	0.244341	−	1.04982i	8.57436e−5	−	0.000368400i
$202$	1581.58	−	815.361i	0.550889	−	0.284003i
$203$	−1959.69	−	5662.14i	−0.677552	−	1.95766i
$204$	−589.957	−	455.109i	−0.202477	−	0.156196i
$205$	595.082	−	835.675i	0.202743	−	0.284713i
$206$	−4260.29			−1.44092
$207$	2094.01	−	2117.75i	0.703108	−	0.711083i
$208$	12006.5			4.00241
$209$	−485.205	+	681.375i	−0.160585	+	0.225511i
$210$	7386.93	−	3037.50i	2.42737	−	0.998131i
$211$	148.328	+	428.567i	0.0483950	+	0.139828i	0.966609	−	0.256257i	$-0.0824895\pi$
$211$	148.328	+	428.567i	0.0483950	+	0.139828i	−0.918214	+	0.396086i	$0.870368\pi$
$212$	2340.47	−	1206.60i	0.758228	−	0.390894i
$213$	−3380.63	+	1026.98i	−1.08750	+	0.330363i
$214$	−5727.68	+	4504.29i	−1.82961	+	1.43882i
$215$	1096.01	+	321.818i	0.347662	+	0.102083i
$216$	−6073.46	+	7418.64i	−1.91318	+	2.33692i
$217$	−1217.12	+	8465.28i	−0.380755	+	2.64821i
$218$	−4960.21	+	473.642i	−1.54104	+	0.147152i
$219$	−810.415	−	917.835i	−0.250058	−	0.283203i
$220$	940.294	+	739.456i	0.288157	+	0.226610i
$221$	−19.7009	−	413.574i	−0.00599651	−	0.125882i
$222$	−396.745	−	72.6363i	−0.119945	−	0.0219596i
$223$	4882.29	−	3839.48i	1.46611	−	1.15296i	0.509917	−	0.860224i	$-0.329676\pi$
$223$	4882.29	−	3839.48i	1.46611	−	1.15296i	0.956193	−	0.292737i	$-0.0945662\pi$
$224$	−12588.2	−	14527.5i	−3.75484	−	4.33332i
$225$	1317.42	−	1076.39i	0.390348	−	0.318931i
$226$	3093.40	−	3569.97i	0.910486	−	1.05076i
$227$	−3465.87	−	3304.70i	−1.01338	−	0.966260i	−0.0139500	−	0.999903i	$-0.504441\pi$
$227$	−3465.87	−	3304.70i	−1.01338	−	0.966260i	−0.999434	+	0.0336431i	$0.989289\pi$
$228$	−6056.78	+	10720.3i	−1.75930	+	3.11389i
$229$	2228.55	−	3859.96i	0.643086	−	1.11386i	−0.341654	−	0.939826i	$-0.610987\pi$
$229$	2228.55	−	3859.96i	0.643086	−	1.11386i	0.984740	−	0.174032i	$-0.0556797\pi$
$230$	−3690.98	−	2838.71i	−1.05816	−	0.813821i
$231$	814.228	+	1121.15i	0.231915	+	0.319334i
$232$	6522.81	−	9160.01i	1.84588	−	2.59217i
$233$	2545.98	−	747.568i	0.715849	−	0.210192i	0.0965284	−	0.995330i	$-0.469226\pi$
$233$	2545.98	−	747.568i	0.715849	−	0.210192i	0.619321	+	0.785138i	$0.287408\pi$
$234$	−8670.16	+	161.707i	−2.42216	+	0.0451757i
$235$	−1792.66	−	1152.07i	−0.497618	−	0.319799i
$236$	3677.24	−	10624.7i	1.01427	−	2.93054i
$237$	−130.662	−	517.488i	−0.0358119	−	0.141833i
$238$	−976.597	+	931.184i	−0.265981	+	0.253612i
$239$	−206.514	−	4335.27i	−0.0558925	−	1.17333i	−0.836378	−	0.548154i	$-0.815331\pi$
$239$	−206.514	−	4335.27i	−0.0558925	−	1.17333i	0.780485	−	0.625174i	$-0.214972\pi$
$240$	6939.31	+	4368.73i	1.86638	+	1.17500i
$241$	2278.03	−	217.526i	0.608883	−	0.0581413i	0.213940	−	0.976847i	$-0.431370\pi$
$241$	2278.03	−	217.526i	0.608883	−	0.0581413i	0.394943	+	0.918706i	$0.370764\pi$
$242$	2845.04	−	6229.76i	0.755727	−	1.65481i
$243$	2344.49	−	2975.27i	0.618927	−	0.785448i
$244$	−3212.83	+	2064.76i	−0.842951	+	0.541732i
$245$	−1824.45	−	7520.47i	−0.475754	−	1.96108i
$246$	3492.39	+	990.183i	0.905150	+	0.256633i
$247$	−6718.51	+	1294.89i	−1.73072	+	0.333570i
$248$	−14266.6	+	7354.96i	−3.65295	+	1.88323i
$249$	−2889.37	+	4138.69i	−0.735367	+	1.05333i
$250$	−5743.96	−	5476.86i	−1.45312	−	1.38555i
$251$	338.070	+	740.269i	0.0850150	+	0.186157i	0.947365	−	0.320156i	$-0.103735\pi$
$251$	338.070	+	740.269i	0.0850150	+	0.186157i	−0.862350	+	0.506313i	$0.831008\pi$
$252$	13641.9	+	15162.8i	3.41015	+	3.79033i
$253$	327.624	−	738.377i	0.0814131	−	0.183484i
$254$	5831.14	+	10099.8i	1.44047	+	2.49496i
$255$	139.098	−	246.199i	0.0341595	−	0.0604610i
$256$	662.839	−	2732.26i	0.161826	−	0.667055i
$257$	100.232	+	289.603i	0.0243281	+	0.0702915i	0.956511	−	0.291696i	$-0.0942195\pi$
$257$	100.232	+	289.603i	0.0243281	+	0.0702915i	−0.932183	+	0.361987i	$0.882098\pi$
$258$	229.955	+	4035.30i	0.0554898	+	0.973748i
$259$	−172.420	+	498.176i	−0.0413656	+	0.119518i
$260$	1392.52	+	9685.17i	0.332155	+	2.31019i
$261$	−2509.17	+	3666.46i	−0.595071	+	0.869534i
$262$	1394.31	−	896.069i	0.328782	−	0.211295i
$263$	3237.11	−	1295.94i	0.758969	−	0.303845i	0.0402904	−	0.999188i	$-0.487172\pi$
$263$	3237.11	−	1295.94i	0.758969	−	0.303845i	0.718678	+	0.695343i	$0.244747\pi$
$264$	−827.595	+	2465.31i	−0.192935	+	0.574733i
$265$	579.670	+	814.032i	0.134373	+	0.188700i
$266$	17528.2	+	13784.3i	4.04031	+	3.17733i
$267$	341.719	+	2228.96i	0.0783253	+	0.510900i
$268$	−1.01459	−	4.18221i	−0.000231254	−	0.000953242i
$269$	−244.375	−	1699.67i	−0.0553896	−	0.385243i	−0.998593	−	0.0530276i	$-0.983113\pi$
$269$	−244.375	−	1699.67i	−0.0553896	−	0.385243i	0.943203	−	0.332216i	$-0.107796\pi$
$270$	−5069.87	−	3061.30i	−1.14275	−	0.690018i
$271$	1595.18	+	1025.16i	0.357566	+	0.229794i	0.707074	−	0.707140i	$-0.250015\pi$
$271$	1595.18	+	1025.16i	0.357566	+	0.229794i	−0.349508	+	0.936933i	$0.613651\pi$
$272$	−1360.32	−	262.181i	−0.303242	−	0.0584451i
$273$	−1508.32	+	11233.2i	−0.334387	+	2.49034i
$274$	−10781.5	−	1029.51i	−2.37714	−	0.226989i
$275$	230.719	−	399.617i	0.0505923	−	0.0876284i
$276$	3662.30	−	11312.7i	0.798712	−	2.46720i
$277$	−3075.22	−	5326.43i	−0.667046	−	1.15536i	−0.978726	−	0.205171i	$-0.934225\pi$
$277$	−3075.22	−	5326.43i	−0.667046	−	1.15536i	0.311680	−	0.950187i	$-0.399108\pi$
$278$	2366.00	+	5180.82i	0.510444	+	1.11772i
$279$	5581.45	−	3010.48i	1.19768	−	0.645996i
$280$	12830.1	−	14806.8i	2.73839	−	3.16027i
$281$	−119.194	+	2502.18i	−0.0253043	+	0.531202i	0.950256	+	0.311470i	$0.100821\pi$
$281$	−119.194	+	2502.18i	−0.0253043	+	0.531202i	−0.975560	+	0.219732i	$0.929482\pi$
$282$	1709.25	−	7343.82i	0.360937	−	1.55077i
$283$	1527.12	+	611.368i	0.320770	+	0.128417i	0.526459	−	0.850200i	$-0.323519\pi$
$283$	1527.12	+	611.368i	0.320770	+	0.128417i	−0.205689	+	0.978617i	$0.565944\pi$
$284$	−10209.4	+	9734.61i	−2.13315	+	2.03395i
$285$	−4354.21	−	1696.23i	−0.904987	−	0.352547i
$286$	−2183.58	+	874.175i	−0.451462	+	0.180738i
$287$	1970.95	−	4315.77i	0.405371	−	0.887638i
$288$	−3101.54	+	13912.1i	−0.634583	+	2.84646i
$289$	692.394	−	4815.71i	0.140931	−	0.980196i
$290$	6174.09	+	3182.96i	1.25019	+	0.644517i
$291$	−8169.09	−	1495.60i	−1.64564	−	0.301284i
$292$	−4538.41	−	1816.90i	−0.909555	−	0.364131i
$293$	599.821	−	115.606i	0.119597	−	0.0230504i	−0.129101	−	0.991631i	$-0.541209\pi$
$293$	599.821	−	115.606i	0.119597	−	0.0230504i	0.248699	+	0.968581i	$0.419997\pi$
$294$	22896.4	−	15018.1i	4.54199	−	2.97917i
$295$	4189.79	+	807.515i	0.826912	+	0.159374i
$296$	−949.310	+	278.743i	−0.186411	+	0.0547351i
$297$	308.755	−	979.951i	0.0603225	−	0.191456i
$298$	−13713.3			−2.66573
$299$	6107.39	−	2521.83i	1.18127	−	0.487762i
$300$	2763.92	−	6204.59i	0.531916	−	1.19407i
$301$	5258.83	+	502.157i	1.00702	+	0.0961590i
$302$	853.051	−	3516.32i	0.162542	−	0.670006i
$303$	−987.164	+	1414.00i	−0.187165	+	0.268093i
$304$	−1089.31	+	22867.5i	−0.205514	+	4.31428i
$305$	−949.155	−	1095.38i	−0.178192	−	0.205644i
$306$	985.852	+	171.006i	0.184175	+	0.0319469i
$307$	3988.45	+	1171.12i	0.741476	+	0.217717i	0.630590	−	0.776116i	$-0.282813\pi$
$307$	3988.45	+	1171.12i	0.741476	+	0.217717i	0.110886	+	0.993833i	$0.464631\pi$
$308$	4917.23	+	2535.01i	0.909692	+	0.468979i
$309$	3652.09	−	1926.10i	0.672363	−	0.354601i
$310$	−5751.19	−	8076.42i	−1.05370	−	1.47971i
$311$	2688.01	+	3774.78i	0.490107	+	0.688258i	0.983368	−	0.181623i	$-0.0581349\pi$
$311$	2688.01	+	3774.78i	0.490107	+	0.688258i	−0.493262	+	0.869881i	$0.664196\pi$
$312$	−18815.2	+	9923.03i	−3.41410	+	1.80058i
$313$	4546.73	+	2344.00i	0.821075	+	0.423294i	0.816958	−	0.576698i	$-0.195659\pi$
$313$	4546.73	+	2344.00i	0.821075	+	0.423294i	0.00411780	+	0.999992i	$0.498689\pi$
$314$	−3248.85	−	953.948i	−0.583895	−	0.171447i
$315$	−4959.10	+	5943.53i	−0.887028	+	1.06311i
$316$	−1395.48	−	1610.47i	−0.248424	−	0.286697i
$317$	−346.427	+	7272.39i	−0.0613794	+	1.28851i	0.732639	+	0.680618i	$0.238289\pi$
$317$	−346.427	+	7272.39i	−0.0613794	+	1.28851i	−0.794018	+	0.607894i	$0.792014\pi$
$318$	−2024.16	+	2899.37i	−0.356947	+	0.511285i
$319$	−284.103	+	1171.09i	−0.0498644	+	0.205544i
$320$	9616.77	+	918.290i	1.67998	+	0.160419i
$321$	2873.58	−	6450.77i	0.499649	−	1.12164i
$322$	−19245.9	−	9660.54i	−3.33084	−	1.67193i
$323$	789.477			0.135999
$324$	3015.06	−	14820.3i	0.516985	−	2.54121i
$325$	3621.54	−	1063.38i	0.618114	−	0.181495i
$326$	3642.56	+	702.046i	0.618843	+	0.119272i
$327$	4037.95	−	2648.56i	0.682872	−	0.447907i
$328$	8743.56	−	1685.18i	1.47190	−	0.283685i
$329$	−9149.09	−	3662.74i	−1.53315	−	0.613780i
$330$	−1580.11	−	289.288i	−0.263583	−	0.0482568i
$331$	−3524.00	−	1816.75i	−0.585186	−	0.301684i	0.140094	−	0.990138i	$-0.455259\pi$
$331$	−3524.00	−	1816.75i	−0.585186	−	0.301684i	−0.725280	+	0.688454i	$0.758290\pi$
$332$	−2868.01	+	19947.5i	−0.474104	+	3.29747i
$333$	372.945	−	117.104i	0.0613731	−	0.0192710i
$334$	−2870.55	+	6285.63i	−0.470268	+	1.02974i
$335$	1.51625	−	0.607016i	0.000247289	−	9.89995e-5i
$336$	35336.2	+	13765.6i	5.73734	+	2.23504i
$337$	3405.29	−	3246.94i	0.550439	−	0.524843i	−0.363016	−	0.931783i	$-0.618253\pi$
$337$	3405.29	−	3246.94i	0.550439	−	0.524843i	0.913455	+	0.406940i	$0.133404\pi$
$338$	−6925.57	−	2772.58i	−1.11450	−	0.446179i
$339$	−1037.78	+	4458.86i	−0.166267	+	0.714372i
$340$	53.7203	−	1127.73i	0.00856880	−	0.179881i
$341$	1126.40	−	1299.94i	0.178880	−	0.206438i
$342$	478.631	−	16527.8i	0.0756767	−	2.61322i
$343$	−9678.97	−	21194.0i	−1.52366	−	3.33635i
$344$	4957.30	+	8586.30i	0.776976	+	1.34576i
$345$	4447.45	+	764.741i	0.694036	+	0.119340i
$346$	−4557.38	+	7893.62i	−0.708111	+	1.22648i
$347$	−3315.69	−	316.610i	−0.512956	−	0.0489814i	−0.164631	−	0.986355i	$-0.552643\pi$
$347$	−3315.69	−	316.610i	−0.512956	−	0.0489814i	−0.348325	+	0.937374i	$0.613249\pi$
$348$	−2360.62	+	17580.7i	−0.363628	+	2.70811i
$349$	7112.29	+	1370.78i	1.09087	+	0.210247i	0.702802	−	0.711385i	$-0.251932\pi$
$349$	7112.29	+	1370.78i	1.09087	+	0.210247i	0.388064	+	0.921633i	$0.373144\pi$
$350$	−10348.3	−	6650.46i	−1.58040	−	1.01566i
$351$	7359.29	−	4058.44i	1.11912	−	0.617161i
$352$	550.205	+	3826.76i	0.0833125	+	0.579451i
$353$	−2430.69	−	10019.5i	−0.366495	−	1.51071i	−0.794684	−	0.607023i	$-0.792363\pi$
$353$	−2430.69	−	10019.5i	−0.366495	−	1.51071i	0.428189	−	0.903689i	$-0.359152\pi$
$354$	2287.92	+	14923.6i	0.343507	+	2.24063i
$355$	−4208.23	−	3309.39i	−0.629154	−	0.494772i
$356$	5222.43	+	7333.87i	0.777495	+	1.09184i
$357$	416.185	−	1239.77i	0.0616999	−	0.183797i
$358$	−13148.4	+	5263.82i	−1.94110	+	0.777100i
$359$	−209.331	+	134.529i	−0.0307746	+	0.0197777i	−0.555938	−	0.831224i	$-0.687641\pi$
$359$	−209.331	+	134.529i	−0.0307746	+	0.0197777i	0.525163	+	0.851002i	$0.324004\pi$
$360$	−14485.1	−	1111.02i	−2.12064	−	0.162655i
$361$	−880.547	−	6124.34i	−0.128378	−	0.892890i
$362$	−1514.61	+	4376.17i	−0.219906	+	0.635377i
$363$	377.625	+	6626.65i	0.0546011	+	0.958151i
$364$	14800.5	+	42763.1i	2.13119	+	6.15768i
$365$	437.401	−	1802.99i	0.0627249	−	0.258556i
$366$	2522.75	−	4465.18i	0.360291	−	0.637701i
$367$	4751.03	+	8229.02i	0.675754	+	1.17044i	0.976248	+	0.216656i	$0.0695151\pi$
$367$	4751.03	+	8229.02i	0.675754	+	1.17044i	−0.300494	+	0.953784i	$0.597152\pi$
$368$	−3382.29	−	21848.2i	−0.479115	−	3.09488i
$369$	−3441.48	+	730.103i	−0.485519	+	0.103002i
$370$	−253.884	−	555.929i	−0.0356724	−	0.0781118i
$371$	3344.85	+	3189.30i	0.468075	+	0.446308i
$372$	14493.7	−	20760.5i	2.02006	−	2.89350i
$373$	2128.87	−	1097.51i	0.295519	−	0.152351i	−0.304091	−	0.952643i	$-0.598353\pi$
$373$	2128.87	−	1097.51i	0.295519	−	0.152351i	0.599610	+	0.800292i	$0.295322\pi$
$374$	266.487	−	51.3612i	0.0368442	−	0.00710113i
$375$	7400.06	+	2098.11i	1.01903	+	0.288922i
$376$	−4360.55	−	17974.4i	−0.598080	−	2.46532i
$377$	−8292.27	+	5329.12i	−1.13282	+	0.728020i
$378$	−25702.4	−	9464.52i	−3.49733	−	1.28784i
$379$	−5753.27	+	12597.9i	−0.779750	+	1.70742i	−0.0758469	+	0.997119i	$0.524166\pi$
$379$	−5753.27	+	12597.9i	−0.779750	+	1.70742i	−0.703903	+	0.710296i	$0.748561\pi$
$380$	−18572.7	+	1773.47i	−2.50726	+	0.239414i
$381$	−9564.86	−	6021.69i	−1.28615	−	0.809712i
$382$	−1198.18	−	25153.0i	−0.160483	−	3.36895i
$383$	−4719.64	+	4500.17i	−0.629667	+	0.600386i	−0.936197	−	0.351475i	$-0.885680\pi$
$383$	−4719.64	+	4500.17i	−0.629667	+	0.600386i	0.306530	+	0.951861i	$0.400832\pi$
$384$	2995.94	+	11865.4i	0.398140	+	1.57683i
$385$	−686.697	+	1984.08i	−0.0909021	+	0.262644i
$386$	−802.548	−	515.766i	−0.105825	−	0.0680099i
$387$	−2021.50	−	3355.26i	−0.265527	−	0.440716i
$388$	−31814.8	+	9341.67i	−4.16276	+	1.22230i
$389$	−1918.71	+	2694.45i	−0.250084	+	0.351193i	−0.920466	−	0.390822i	$-0.872191\pi$
$389$	−1918.71	+	2694.45i	−0.250084	+	0.351193i	0.670382	+	0.742016i	$0.266130\pi$
$390$	−7721.24	−	10631.7i	−1.00251	−	1.38041i
$391$	−747.030	+	152.356i	−0.0966213	+	0.0197058i
$392$	33584.2	−	58169.6i	4.32719	−	7.49492i
$393$	−790.141	+	1398.52i	−0.101418	+	0.179506i
$394$	−3863.06	−	3683.42i	−0.493954	−	0.470985i
$395$	529.605	−	611.197i	0.0674616	−	0.0778549i
$396$	−659.412	−	4048.80i	−0.0836785	−	0.513788i
$397$	7993.99	+	9225.56i	1.01060	+	1.16629i	0.986026	+	0.166593i	$0.0532765\pi$
$397$	7993.99	+	9225.56i	1.01060	+	1.16629i	0.0245708	+	0.999698i	$0.492178\pi$
$398$	−6112.96	+	4807.28i	−0.769887	+	0.605446i
$399$	−21257.8	−	3891.89i	−2.66722	−	0.488316i
$400$	−600.912	−	12614.7i	−0.0751140	−	1.57684i
$401$	773.914	+	608.613i	0.0963776	+	0.0757922i	0.665185	−	0.746678i	$-0.268353\pi$
$401$	773.914	+	608.613i	0.0963776	+	0.0757922i	−0.568807	+	0.822471i	$0.692595\pi$
$402$	3.82505	+	4.33206i	0.000474567	+	0.000537471i
$403$	14005.9	−	1337.40i	1.73123	−	0.165312i
$404$	−979.866	+	6815.12i	−0.120669	+	0.839270i
$405$	5730.12	+	332.157i	0.703042	+	0.0407532i
$406$	30823.4	+	9050.56i	3.76783	+	1.10633i
$407$	83.3417	−	65.5406i	0.0101501	−	0.00798213i
$408$	2348.42	−	713.411i	0.284962	−	0.0865665i
$409$	−682.312	+	351.756i	−0.0824894	+	0.0425262i	−0.498978	−	0.866615i	$-0.666291\pi$
$409$	−682.312	+	351.756i	−0.0824894	+	0.0425262i	0.416488	+	0.909141i	$0.363261\pi$
$410$	1799.01	+	5197.90i	0.216699	+	0.626112i
$411$	9707.81	−	3991.84i	1.16509	−	0.479083i
$412$	9562.18	−	13428.2i	1.14343	−	1.60573i
$413$	19733.3			2.35112
$414$	2736.69	+	15731.5i	0.324881	+	1.86754i
$415$	−7648.19			−0.904662
$416$	−18343.5	+	25759.9i	−2.16194	+	3.03602i
$417$	−4370.50	−	3371.52i	−0.513248	−	0.395933i
$418$	−1466.84	−	4238.15i	−0.171640	−	0.495921i
$419$	−8434.74	+	4348.41i	−0.983446	+	0.507002i	−0.873441	−	0.486929i	$-0.838117\pi$
$419$	−8434.74	+	4348.41i	−0.983446	+	0.507002i	−0.110005	+	0.993931i	$0.535087\pi$
$420$	−7005.86	+	30100.9i	−0.813931	+	3.49707i
$421$	−3569.87	+	2807.37i	−0.413265	+	0.324995i	−0.803051	−	0.595910i	$-0.796791\pi$
$421$	−3569.87	+	2807.37i	−0.413265	+	0.324995i	0.389786	+	0.920905i	$0.372549\pi$
$422$	−2333.02	−	685.036i	−0.269122	−	0.0790213i
$423$	1854.94	+	7068.17i	0.213216	+	0.812450i
$424$	−1234.42	+	8585.57i	−0.141388	+	0.983378i
$425$	−433.538	+	41.3978i	−0.0494816	+	0.00472492i
$426$	6028.55	−	17958.4i	0.685643	−	2.04246i
$427$	−5268.98	−	4143.58i	−0.597152	−	0.469606i
$428$	−1341.58	−	28163.2i	−0.151513	−	3.18065i
$429$	1476.64	−	1736.59i	0.166183	−	0.195439i
$430$	−4814.09	+	3785.84i	−0.539898	+	0.424581i
$431$	−6718.77	−	7753.87i	−0.750885	−	0.866568i	0.243768	−	0.969833i	$-0.421616\pi$
$431$	−6718.77	−	7753.87i	−0.750885	−	0.866568i	−0.994654	+	0.103265i	$0.967071\pi$
$432$	−7391.23	−	27131.1i	−0.823174	−	3.02163i
$433$	545.209	−	629.205i	0.0605105	−	0.0698329i	−0.724687	−	0.689078i	$-0.758016\pi$
$433$	545.209	−	629.205i	0.0605105	−	0.0698329i	0.785198	+	0.619245i	$0.212561\pi$
$434$	−33185.9	−	31642.7i	−3.67044	−	3.49976i
$435$	−6731.70	+	62.7709i	−0.741978	+	0.00691871i
$436$	9640.24	−	16697.4i	1.05891	−	1.83408i
$437$	4248.95	+	11860.9i	0.465114	+	1.29836i
$438$	6528.92	−	684.926i	0.712246	−	0.0747193i
$439$	−1108.25	+	1556.32i	−0.120487	+	0.169200i	−0.870414	−	0.492320i	$-0.836149\pi$
$439$	−1108.25	+	1556.32i	−0.120487	+	0.169200i	0.749927	+	0.661520i	$0.230088\pi$
$440$	−3780.80	+	1110.14i	−0.409643	+	0.120282i
$441$	−12837.9	+	23225.7i	−1.38624	+	2.50791i
$442$	1867.50	+	1200.17i	0.200968	+	0.129155i
$443$	2826.85	−	8167.64i	0.303177	−	0.875973i	−0.685785	−	0.727804i	$-0.740541\pi$
$443$	2826.85	−	8167.64i	0.303177	−	0.875973i	0.988962	−	0.148169i	$-0.0473379\pi$
$444$	1119.44	−	1087.49i	0.119653	−	0.116238i
$445$	−2472.91	+	2357.92i	−0.263432	+	0.251182i
$446$	1584.54	+	33263.6i	0.168229	+	3.53156i
$447$	11755.6	−	6199.83i	1.24389	−	0.656022i
$448$	44475.0	−	4246.85i	4.69029	−	0.447868i
$449$	−2671.06	+	5848.81i	−0.280747	+	0.614749i	−0.996499	−	0.0836050i	$-0.973357\pi$
$449$	−2671.06	+	5848.81i	−0.280747	+	0.614749i	0.715752	+	0.698354i	$0.246084\pi$
$450$	603.831	+	9101.27i	0.0632552	+	0.953417i
$451$	−802.748	+	515.895i	−0.0838136	+	0.0538637i
$452$	4309.26	+	17763.0i	0.448430	+	1.84845i
$453$	858.477	+	3400.00i	0.0890392	+	0.352640i
$454$	25211.8	−	4859.17i	2.60627	−	0.502317i
$455$	−15264.6	+	7869.47i	−1.57279	+	0.810827i
$456$	−17192.3	−	36735.5i	−1.76558	−	3.77258i
$457$	6231.56	+	5941.78i	0.637855	+	0.608194i	0.938390	−	0.345577i	$-0.112317\pi$
$457$	6231.56	+	5941.78i	0.637855	+	0.608194i	−0.300535	+	0.953771i	$0.597165\pi$
$458$	9927.14	+	21737.4i	1.01281	+	2.21773i
$459$	−922.424	+	299.115i	−0.0938018	+	0.0304172i
$460$	17231.8	−	5262.33i	1.74660	−	0.533385i
$461$	−424.602	−	735.433i	−0.0428974	−	0.0743005i	0.843780	−	0.536690i	$-0.180326\pi$
$461$	−424.602	−	735.433i	−0.0428974	−	0.0743005i	−0.886677	+	0.462389i	$0.846992\pi$
$462$	−7428.74	+	69.2706i	−0.748087	+	0.00697567i
$463$	−1601.15	+	6600.01i	−0.160716	+	0.662481i	0.833260	+	0.552882i	$0.186472\pi$
$463$	−1601.15	+	6600.01i	−0.160716	+	0.662481i	−0.993976	+	0.109599i	$0.965043\pi$
$464$	10787.0	+	31167.1i	1.07926	+	3.11831i
$465$	8581.53	+	4323.28i	0.855826	+	0.431156i
$466$	−4653.09	+	13444.2i	−0.462554	+	1.33646i
$467$	−2249.44	−	15645.2i	−0.222894	−	1.55026i	−0.727011	−	0.686626i	$-0.759091\pi$
$467$	−2249.44	−	15645.2i	−0.222894	−	1.55026i	0.504117	−	0.863635i	$-0.331818\pi$
$468$	18950.4	−	27690.8i	1.87176	−	2.73506i
$469$	6.35426	−	4.08364i	0.000625613	−	0.000402057i
$470$	10606.7	−	4246.28i	1.04096	−	0.416737i
$471$	3216.32	−	651.057i	0.314651	−	0.0636924i
$472$	21482.5	+	30168.0i	2.09494	+	2.94194i
$473$	−835.163	−	656.780i	−0.0811857	−	0.0638452i
$474$	2666.43	+	1038.74i	0.258382	+	0.100655i
$475$	1696.74	+	6994.04i	0.163898	+	0.675597i
$476$	−743.077	−	5168.21i	−0.0715523	−	0.497657i
$477$	424.368	−	3400.59i	0.0407348	−	0.326420i
$478$	19576.0	+	12580.8i	1.87320	+	1.20383i
$479$	−4325.41	−	833.654i	−0.412595	−	0.0795211i	−0.0212700	−	0.999774i	$-0.506771\pi$
$479$	−4325.41	−	833.654i	−0.412595	−	0.0795211i	−0.391325	+	0.920253i	$0.627983\pi$
$480$	−19975.0	+	8213.70i	−1.89944	+	0.781047i
$481$	863.332	+	82.4382i	0.0818390	+	0.00781467i
$482$	−6134.65	+	10625.5i	−0.579722	+	1.00411i
$483$	20865.9	−	419.759i	1.96570	−	0.0395439i
$484$	13250.2	+	22950.0i	1.24438	+	2.15534i
$485$	−5227.54	−	11446.7i	−0.489424	−	1.07169i
$486$	5702.78	+	19492.4i	0.532271	+	1.81933i
$487$	13060.1	−	15072.2i	1.21522	−	1.40243i	0.325734	−	0.945461i	$-0.394389\pi$
$487$	13060.1	−	15072.2i	1.21522	−	1.40243i	0.889481	−	0.456972i	$-0.151066\pi$
$488$	598.594	−	12566.0i	0.0555268	−	1.16565i
$489$	−3439.94	+	1045.00i	−0.318118	+	0.0966388i
$490$	38518.8	+	15420.6i	3.55123	+	1.42170i
$491$	8514.45	−	8118.52i	0.782590	−	0.746199i	−0.189227	−	0.981933i	$-0.560598\pi$
$491$	8514.45	−	8118.52i	0.782590	−	0.746199i	0.971817	+	0.235735i	$0.0757497\pi$
$492$	−10959.6	+	8785.38i	−1.00427	+	0.805031i
$493$	1055.88	−	422.709i	0.0964590	−	0.0386164i
$494$	15239.3	−	33369.4i	1.38795	−	3.03919i
$495$	1485.32	−	466.387i	0.134869	−	0.0423485i
$496$	6699.62	−	46596.9i	0.606496	−	4.21827i
$497$	−22006.8	−	11345.3i	−1.98619	−	1.02395i
$498$	−9089.30	−	25490.3i	−0.817874	−	2.29367i
$499$	−6886.78	−	2757.05i	−0.617825	−	0.247340i	0.0415713	−	0.999136i	$-0.486764\pi$
$499$	−6886.78	−	2757.05i	−0.617825	−	0.247340i	−0.659396	+	0.751796i	$0.729188\pi$
$500$	30155.0	−	5811.90i	2.69715	−	0.519832i
$501$	−381.012	−	6686.08i	−0.0339768	−	0.596231i
$502$	−4284.43	−	825.757i	−0.380924	−	0.0734170i
$503$	7708.38	−	2263.39i	0.683300	−	0.200635i	0.0783827	−	0.996923i	$-0.475024\pi$
$503$	7708.38	−	2263.39i	0.683300	−	0.200635i	0.604917	+	0.796288i	$0.293206\pi$
$504$	−66751.6	+	7632.58i	−5.89950	+	0.674567i
$505$	−2613.03			−0.230254
$506$	2205.86	+	3727.21i	0.193800	+	0.327460i
$507$	7190.37	−	754.317i	0.629853	−	0.0660757i
$508$	−44922.0	−	4289.53i	−3.92341	−	0.374640i
$509$	1633.10	−	6731.74i	0.142212	−	0.586206i	−0.855451	−	0.517884i	$-0.826720\pi$
$509$	1633.10	−	6731.74i	0.142212	−	0.586206i	0.997663	−	0.0683229i	$-0.0217648\pi$
$510$	642.648	+	1373.17i	0.0557979	+	0.119226i
$511$	408.263	−	8570.50i	0.0353434	−	0.741950i
$512$	−2467.06	−	2847.14i	−0.212949	−	0.245756i
$513$	7061.99	+	14384.7i	0.607787	+	1.23801i
$514$	−1576.53	−	462.911i	−0.135287	−	0.0397239i
$515$	5560.78	+	2866.78i	0.475800	+	0.245292i
$516$	−13235.2	−	8332.39i	−1.12916	−	0.710878i
$517$	1149.71	+	1614.54i	0.0978029	+	0.137345i
$518$	−1639.50	−	2302.35i	−0.139064	−	0.195289i
$519$	338.028	−	8827.14i	0.0285892	−	0.746567i
$520$	−28648.5	−	14769.3i	−2.41600	−	1.24553i
$521$	21542.0	+	6325.30i	1.81146	+	0.531893i	0.998713	−	0.0507202i	$-0.0161517\pi$
$521$	21542.0	+	6325.30i	1.81146	+	0.531893i	0.812749	+	0.582613i	$0.197970\pi$
$522$	−8209.33	−	22361.2i	−0.688338	−	1.87495i
$523$	3198.23	+	3690.95i	0.267397	+	0.308593i	0.873530	−	0.486771i	$-0.161825\pi$
$523$	3198.23	+	3690.95i	0.267397	+	0.308593i	−0.606132	+	0.795364i	$0.707280\pi$
$524$	−305.156	+	6406.01i	−0.0254404	+	0.534061i
$525$	11877.7	+	1022.52i	0.987400	+	0.0850024i
$526$	−4407.53	+	18168.1i	−0.365356	+	1.50602i
$527$	−1616.06	−	154.315i	−0.133580	−	0.0127554i
$528$	−4481.89	−	6171.34i	−0.369412	−	0.508661i
$529$	−6309.45	−	10403.2i	−0.518571	−	0.855035i
$530$	−5357.96			−0.439123
$531$	−8708.33	−	11758.7i	−0.711694	−	0.960990i
$532$	−82789.2	+	24309.1i	−6.74693	+	1.98108i
$533$	−7664.27	−	1477.17i	−0.622845	−	0.120044i
$534$	−10797.5	−	5439.65i	−0.875004	−	0.440818i
$535$	10507.1	−	2025.07i	0.849084	−	0.163648i
$536$	13.1605	+	5.26869i	0.00106054	+	0.000424576i
$537$	8891.53	−	10456.8i	0.714521	−	0.840306i
$538$	8183.09	+	4218.68i	0.655759	+	0.338067i
$539$	−1024.38	+	7124.70i	−0.0818609	+	0.569355i
$540$	21028.3	−	9108.89i	1.67577	−	0.725896i
$541$	−9648.39	+	21127.0i	−0.766759	+	1.67897i	−0.0330987	+	0.999452i	$0.510538\pi$
$541$	−9648.39	+	21127.0i	−0.766759	+	1.67897i	−0.733660	+	0.679516i	$0.762190\pi$
$542$	−9438.29	+	3778.52i	−0.747987	+	0.299449i
$543$	−680.106	−	4436.19i	−0.0537498	−	0.350599i
$544$	2640.81	−	2518.01i	0.208132	−	0.198454i
$545$	6793.07	+	2719.53i	0.533914	+	0.213747i
$546$	−44368.7	−	41522.5i	−3.47766	−	3.25458i
$547$	−597.122	+	12535.1i	−0.0466747	+	0.979823i	0.847135	+	0.531377i	$0.178325\pi$
$547$	−597.122	+	12535.1i	−0.0466747	+	0.979823i	−0.893810	+	0.448446i	$0.851978\pi$
$548$	27444.0	−	31672.1i	2.13933	−	2.46891i
$549$	−143.877	+	4968.27i	−0.0111849	+	0.386231i
$550$	1027.74	+	2250.45i	0.0796785	+	0.174471i
$551$	−9397.48	−	16276.9i	−0.726581	−	1.25847i
$552$	23357.3	+	31442.6i	1.80100	+	2.42443i
$553$	1870.08	−	3239.07i	0.143805	−	0.249077i
$554$	32826.5	+	3134.55i	2.51744	+	0.240387i
$555$	468.977	+	361.782i	0.0358684	+	0.0276699i
$556$	−21640.1	−	4170.79i	−1.65062	−	0.318131i
$557$	5603.06	+	3600.87i	0.426229	+	0.273920i	0.736119	−	0.676852i	$-0.236656\pi$
$557$	5603.06	+	3600.87i	0.426229	+	0.273920i	−0.309891	+	0.950772i	$0.600293\pi$
$558$	−4210.37	+	33738.9i	−0.319425	+	2.55964i
$559$	−1236.82	−	8602.30i	−0.0935816	−	0.650874i
$560$	13547.2	+	55842.5i	1.02228	+	4.21389i
$561$	−205.223	+	164.509i	−0.0154447	+	0.0123807i
$562$	−10557.3	−	8302.35i	−0.792407	−	0.623156i
$563$	2163.09	+	3037.63i	0.161924	+	0.227391i	0.887564	−	0.460684i	$-0.152396\pi$
$563$	2163.09	+	3037.63i	0.161924	+	0.227391i	−0.725640	+	0.688074i	$0.758456\pi$
$564$	19310.9	+	21870.6i	1.44173	+	1.63283i
$565$	−6439.95	+	2578.17i	−0.479523	+	0.191972i
$566$	−7419.42	+	4768.17i	−0.550992	+	0.354101i
$567$	26312.1	−	3506.83i	1.94886	−	0.259741i
$568$	−6613.03	−	45994.6i	−0.488515	−	3.39770i
$569$	4707.58	−	13601.7i	0.346840	−	1.00213i	−0.627805	−	0.778371i	$-0.716046\pi$
$569$	4707.58	−	13601.7i	0.346840	−	1.00213i	0.974645	−	0.223758i	$-0.0718324\pi$
$570$	20949.7	−	13741.2i	1.53945	−	1.00975i
$571$	100.888	+	291.497i	0.00739410	+	0.0213639i	0.948637	−	0.316365i	$-0.102462\pi$
$571$	100.888	+	291.497i	0.00739410	+	0.0213639i	−0.941243	+	0.337729i	$0.890341\pi$
$572$	2145.68	−	8844.61i	0.156845	−	0.646524i
$573$	12398.9	+	21020.4i	0.903965	+	1.53253i
$574$	12719.0	+	22029.9i	0.924878	+	1.60194i
$575$	−2955.24	−	6290.56i	−0.214334	−	0.456234i
$576$	−22157.6	−	24627.8i	−1.60283	−	1.78153i
$577$	6315.65	+	13829.3i	0.455674	+	0.997786i	0.988452	+	0.151532i	$0.0484206\pi$
$577$	6315.65	+	13829.3i	0.455674	+	0.997786i	−0.532779	+	0.846255i	$0.678852\pi$
$578$	18878.7	+	18000.8i	1.35856	+	1.29539i
$579$	921.156	+	79.2996i	0.0661173	+	0.00569185i
$580$	−23890.2	+	12316.3i	−1.71032	+	0.881732i
$581$	−34731.6	+	6693.98i	−2.48005	+	0.477991i
$582$	31937.7	−	31026.2i	2.27467	−	2.20976i
$583$	−219.142	−	903.314i	−0.0155676	−	0.0641706i
$584$	13546.9	−	8706.08i	0.959890	−	0.616884i
$585$	11425.6	+	5623.14i	0.807506	+	0.397416i
$586$	−1360.55	+	2979.18i	−0.0959107	+	0.210015i
$587$	−2827.83	+	270.025i	−0.198836	+	0.0189866i	−0.193999	−	0.981002i	$-0.562146\pi$
$587$	−2827.83	+	270.025i	−0.198836	+	0.0189866i	−0.00483736	+	0.999988i	$0.501540\pi$
$588$	−4054.45	+	105876.i	−0.284358	+	7.42562i
$589$	1276.49	+	26796.9i	0.0892989	+	1.87461i
$590$	−16557.0	+	15787.0i	−1.15532	+	1.10160i
$591$	4976.86	+	1411.07i	0.346397	+	0.0982123i
$592$	949.083	−	2742.20i	0.0658903	−	0.190378i
$593$	11468.6	+	7370.42i	0.794197	+	0.510400i	0.873718	−	0.486434i	$-0.161702\pi$
$593$	11468.6	+	7370.42i	0.794197	+	0.510400i	−0.0795203	+	0.996833i	$0.525339\pi$
$594$	3319.59	+	4396.10i	0.229301	+	0.303660i
$595$	1901.31	−	558.276i	0.131002	−	0.0384657i
$596$	30779.3	−	43223.5i	2.11538	−	2.97064i
$597$	3066.87	−	6884.69i	0.210249	−	0.471979i
$598$	−7980.20	+	34516.2i	−0.545710	+	2.36032i
$599$	−7350.40	+	12731.3i	−0.501384	+	0.868423i	0.498615	+	0.866824i	$0.333842\pi$
$599$	−7350.40	+	12731.3i	−0.501384	+	0.868423i	−0.999999	+	0.00159905i	$0.999491\pi$
$600$	11367.4	+	19271.6i	0.773452	+	1.31127i
$601$	17793.4	+	16966.0i	1.20767	+	1.15151i	0.984250	+	0.176784i	$0.0565695\pi$
$601$	17793.4	+	16966.0i	1.20767	+	1.15151i	0.223416	+	0.974723i	$0.428279\pi$
$602$	−18548.1	+	21405.6i	−1.25575	+	1.44921i
$603$	−5.23752	−	1.98429i	−0.000353712	−	0.000134007i
$604$	9168.60	+	10581.1i	0.617657	+	0.712814i
$605$	−7905.56	+	6217.00i	−0.531251	+	0.417780i
$606$	−3105.39	−	8708.85i	−0.208165	−	0.583784i
$607$	−967.673	−	20314.0i	−0.0647061	−	1.35835i	−0.764786	−	0.644284i	$-0.777155\pi$
$607$	−967.673	−	20314.0i	−0.0647061	−	1.35835i	0.700080	−	0.714065i	$-0.253148\pi$
$608$	−47397.9	−	37274.1i	−3.16158	−	2.48629i
$609$	−30514.8	+	6176.89i	−2.03041	+	0.411002i
$610$	7735.83	−	738.682i	0.513466	−	0.0490301i
$611$	−2307.31	+	16047.7i	−0.152772	+	1.06255i
$612$	−2751.73	+	2723.53i	−0.181752	+	0.179889i
$613$	5621.33	+	1650.57i	0.370381	+	0.108754i	0.461625	−	0.887075i	$-0.347266\pi$
$613$	5621.33	+	1650.57i	0.370381	+	0.108754i	−0.0912449	+	0.995828i	$0.529085\pi$
$614$	−17518.8	+	13776.9i	−1.15147	+	0.905524i
$615$	−3892.17	−	3642.50i	−0.255199	−	0.238829i
$616$	−16197.6	+	8350.44i	−1.05945	+	0.546183i
$617$	−7844.62	−	22665.5i	−0.511852	−	1.47890i	−0.844348	−	0.535794i	$-0.820012\pi$
$617$	−7844.62	−	22665.5i	−0.511852	−	1.47890i	0.332497	−	0.943104i	$-0.392109\pi$
$618$	−2945.99	+	21940.2i	−0.191756	+	1.42810i
$619$	13533.2	−	19004.7i	0.878748	−	1.23403i	−0.0924413	−	0.995718i	$-0.529467\pi$
$619$	13533.2	−	19004.7i	0.878748	−	1.23403i	0.971189	−	0.238310i	$-0.0765936\pi$
$620$	38364.9			2.48512
$621$	−9458.29	−	12248.4i	−0.611189	−	0.791485i
$622$	−24845.6			−1.60164
$623$	−9166.16	+	12872.1i	−0.589461	+	0.827782i
$624$	8302.49	−	61832.7i	0.532637	−	3.96681i
$625$	1235.91	+	3570.92i	0.0790982	+	0.228539i
$626$	−24377.5	+	12567.5i	−1.55642	+	0.802392i
$627$	3173.52	+	2969.95i	0.202134	+	0.189168i
$628$	10298.8	−	8099.06i	0.654406	−	0.514630i
$629$	−96.0145	−	28.1924i	−0.00608641	−	0.00178713i
$630$	−10534.9	−	40142.7i	−0.666221	−	2.53861i
$631$	−1083.36	+	7534.94i	−0.0683485	+	0.475374i	0.926685	+	0.375838i	$0.122645\pi$
$631$	−1083.36	+	7534.94i	−0.0683485	+	0.475374i	−0.995034	+	0.0995363i	$0.968264\pi$
$632$	6987.71	−	667.245i	0.439804	−	0.0419962i
$633$	2309.66	−	467.528i	0.145025	−	0.0293563i
$634$	−30683.9	−	24130.1i	−1.92210	−	1.51156i
$635$	−814.893	−	17106.7i	−0.0509260	−	1.06907i
$636$	−4595.46	−	12887.6i	−0.286512	−	0.803504i
$637$	−46280.7	+	36395.5i	−2.87866	+	2.26380i
$638$	−4231.04	−	4882.88i	−0.262552	−	0.303001i
$639$	2951.16	+	18120.2i	0.182701	+	1.12179i
$640$	−12143.2	+	14014.1i	−0.750006	+	0.865553i
$641$	19423.3	+	18520.0i	1.19684	+	1.14118i	0.986536	+	0.163546i	$0.0522931\pi$
$641$	19423.3	+	18520.0i	1.19684	+	1.14118i	0.210302	+	0.977637i	$0.432555\pi$
$642$	19236.1	+	32611.9i	1.18254	+	2.00481i
$643$	8743.49	−	15144.2i	0.536251	−	0.928814i	−0.462851	−	0.886436i	$-0.653173\pi$
$643$	8743.49	−	15144.2i	0.536251	−	0.928814i	0.999102	−	0.0423778i	$-0.0134933\pi$
$644$	73646.7	−	38979.0i	4.50634	−	2.38507i
$645$	2415.23	−	5421.85i	0.147441	−	0.330985i
$646$	−2455.27	+	3447.95i	−0.149538	+	0.209996i
$647$	−22455.3	+	6593.46i	−1.36446	+	0.400643i	−0.880334	−	0.474354i	$-0.842682\pi$
$647$	−22455.3	+	6593.46i	−1.36446	+	0.400643i	−0.484129	+	0.874996i	$0.660864\pi$
$648$	34005.7	+	36407.9i	2.06153	+	2.20716i
$649$	−3338.76	−	2145.69i	−0.201938	−	0.129778i
$650$	−6618.80	+	19123.8i	−0.399401	+	1.15399i
$651$	42754.0	+	12121.9i	2.57398	+	0.729789i
$652$	−10388.5	+	9905.41i	−0.623995	+	0.594978i
$653$	1500.25	+	31494.2i	0.0899072	+	1.88738i	0.372340	+	0.928097i	$0.378556\pi$
$653$	1500.25	+	31494.2i	0.0899072	+	1.88738i	−0.282432	+	0.959287i	$0.591141\pi$
$654$	−990.757	+	25872.3i	−0.0592380	+	1.54692i
$655$	−2422.91	+	231.360i	−0.144536	+	0.0138015i
$656$	−10849.0	+	23756.0i	−0.645706	+	1.41390i
$657$	−5287.19	+	3538.90i	−0.313962	+	0.210146i
$658$	44450.2	−	28566.4i	2.63351	−	1.69245i
$659$	1856.73	+	7653.54i	0.109754	+	0.452412i	0.999995	−	0.00307718i	$-0.000979498\pi$
$659$	1856.73	+	7653.54i	0.109754	+	0.452412i	−0.890241	+	0.455489i	$0.849464\pi$
$660$	4458.36	−	4331.12i	0.262942	−	0.255437i
$661$	−16854.3	+	3248.39i	−0.991763	+	0.191147i	−0.659227	−	0.751944i	$-0.729116\pi$
$661$	−16854.3	+	3248.39i	−0.991763	+	0.191147i	−0.332536	+	0.943091i	$0.607904\pi$
$662$	18894.1	−	9740.57i	1.10927	−	0.571870i
$663$	−2143.50	−	184.528i	−0.125561	−	0.0108091i
$664$	−48044.1	−	45809.9i	−2.80794	−	2.67737i
$665$	−13603.2	−	29786.9i	−0.793249	−	1.73697i
$666$	−648.422	+	1992.98i	−0.0377265	+	0.115956i
$667$	12033.4	+	13588.2i	0.698552	+	0.788812i
$668$	−13369.0	−	23155.8i	−0.774346	−	1.34121i
$669$	−16396.9	−	27798.5i	−0.947597	−	1.60650i
$670$	−2.06447	+	8.50987i	−0.000119041	+	0.000490694i
$671$	440.933	+	1273.99i	0.0253682	+	0.0732965i
$672$	−83520.7	+	54782.6i	−4.79446	+	3.14477i
$673$	3040.53	−	8785.03i	0.174151	−	0.503177i	−0.823819	−	0.566852i	$-0.808161\pi$
$673$	3040.53	−	8785.03i	0.174151	−	0.503177i	0.997971	+	0.0636753i	$0.0202822\pi$
$674$	3590.17	+	24970.2i	0.205175	+	1.42703i
$675$	−4632.35	−	7528.97i	−0.264147	−	0.429319i
$676$	24283.4	−	15606.0i	1.38162	−	0.887915i
$677$	25827.1	−	10339.6i	1.46620	−	0.586977i	0.505069	−	0.863079i	$-0.331467\pi$
$677$	25827.1	−	10339.6i	1.46620	−	0.586977i	0.961128	+	0.276102i	$0.0890428\pi$
$678$	−16246.0	−	18399.4i	−0.920244	−	1.04222i
$679$	−33757.7	−	47406.1i	−1.90796	−	2.67935i
$680$	2923.34	+	2298.94i	0.164860	+	0.129647i
$681$	−19415.7	+	15563.8i	−1.09253	+	0.875781i
$682$	2174.21	+	8962.22i	0.122075	+	0.503198i
$683$	−291.350	−	2026.39i	−0.0163224	−	0.113525i	0.980031	−	0.198843i	$-0.0637184\pi$
$683$	−291.350	−	2026.39i	−0.0163224	−	0.113525i	−0.996354	+	0.0853182i	$0.972809\pi$
$684$	51020.4	+	38605.1i	2.85207	+	2.15805i
$685$	13379.9	+	8598.76i	0.746308	+	0.479623i
$686$	122664.	+	23641.5i	6.82700	+	1.31580i
$687$	−18337.5	−	14146.1i	−1.01837	−	0.785598i
$688$	−28947.1	−	2764.11i	−1.60406	−	0.153170i
$689$	3801.59	−	6584.54i	0.210202	−	0.364080i
$690$	−17171.5	+	17045.4i	−0.947401	+	0.940443i
$691$	−13901.2	−	24077.5i	−0.765304	−	1.32554i	−0.940086	−	0.340938i	$-0.889255\pi$
$691$	−13901.2	−	24077.5i	−0.765304	−	1.32554i	0.174782	−	0.984607i	$-0.444078\pi$
$692$	−14651.3	−	32081.8i	−0.804851	−	1.76238i
$693$	6336.89	−	3417.95i	0.347357	−	0.187355i
$694$	11694.6	−	13496.2i	0.639653	−	0.738199i
$695$	397.969	−	8354.41i	0.0217206	−	0.455972i
$696$	−42662.9	−	39926.2i	−2.32347	−	2.17442i
$697$	836.098	+	334.723i	0.0454368	+	0.0181902i
$698$	−28105.9	+	26798.9i	−1.52410	+	1.45323i
$699$	−2089.38	−	13628.6i	−0.113058	−	0.737454i
$700$	44188.6	−	17690.4i	2.38596	−	0.955194i
$701$	−13525.2	+	29616.0i	−0.728729	+	1.59569i	0.0725238	+	0.997367i	$0.476895\pi$
$701$	−13525.2	+	29616.0i	−0.728729	+	1.59569i	−0.801252	+	0.598326i	$0.795833\pi$
$702$	−5162.64	+	44762.6i	−0.277566	+	2.40663i
$703$	−235.339	+	1636.82i	−0.0126258	+	0.0878147i
$704$	−7986.72	−	4117.44i	−0.427572	−	0.220429i
$705$	−7172.72	+	8435.42i	−0.383178	+	0.450633i
$706$	51318.2	+	20544.7i	2.73567	+	1.09520i
$707$	−11866.2	+	2287.02i	−0.631222	+	0.121658i
$708$	−52173.7	−	26284.5i	−2.76950	−	1.39524i
$709$	−30512.9	−	5880.88i	−1.61627	−	0.311511i	−0.700636	−	0.713519i	$-0.747100\pi$
$709$	−30512.9	−	5880.88i	−1.61627	−	0.311511i	−0.915636	+	0.402008i	$0.868312\pi$
$710$	27541.0	−	8086.76i	1.45577	−	0.427452i
$711$	−2755.38	+	315.059i	−0.145337	+	0.0166183i
$712$	−29657.3			−1.56103
$713$	−6379.22	−	25109.8i	−0.335068	−	1.31889i
$714$	4120.22	+	5673.33i	0.215960	+	0.297365i
$715$	3438.38	+	328.325i	0.179843	+	0.0171730i
$716$	12920.2	−	53257.6i	0.674370	−	2.77979i
$717$	−22469.2	−	1934.31i	−1.17033	−	0.100750i
$718$	63.4803	−	1332.62i	0.00329953	−	0.0692657i
$719$	12034.8	+	13889.0i	0.624234	+	0.720404i	0.976505	−	0.215494i	$-0.0691361\pi$
$719$	12034.8	+	13889.0i	0.624234	+	0.720404i	−0.352271	+	0.935898i	$0.614591\pi$
$720$	27297.2	−	32716.0i	1.41293	−	1.69341i
$721$	27761.5	+	8151.51i	1.43397	+	0.421052i
$722$	29485.8	+	15201.0i	1.51987	+	0.783549i
$723$	455.016	−	11882.1i	0.0234056	−	0.611205i
$724$	−10393.9	−	14596.2i	−0.533546	−	0.749261i
$725$	6014.09	+	8445.61i	0.308080	+	0.432638i
$726$	−30115.5	−	18959.6i	−1.53952	−	0.969226i
$727$	13711.9	+	7068.99i	0.699514	+	0.360625i	0.771016	−	0.636816i	$-0.219749\pi$
$727$	13711.9	+	7068.99i	0.699514	+	0.360625i	−0.0715017	+	0.997440i	$0.522779\pi$
$728$	−143024.	−	41995.7i	−7.28136	−	2.13800i
$729$	−13701.2	−	14131.4i	−0.696096	−	0.717949i
$730$	6514.03	+	7517.59i	0.330267	+	0.381149i
$731$	−47.7140	+	1001.64i	−0.00241418	+	0.0506799i
$732$	8411.70	+	17973.6i	0.424734	+	0.907547i
$733$	−938.462	+	3868.39i	−0.0472890	+	0.194928i	−0.990556	−	0.137106i	$-0.956220\pi$
$733$	−938.462	+	3868.39i	−0.0472890	+	0.194928i	0.943267	+	0.332034i	$0.107735\pi$
$734$	−50715.0	−	4842.69i	−2.55030	−	0.243525i
$735$	−39991.5	+	4195.37i	−2.00695	+	0.210542i
$736$	52042.7	+	26123.0i	2.60641	+	1.30830i
$737$	−1.51914			−7.59271e−5
$738$	7514.37	−	17300.9i	0.374807	−	0.862947i
$739$	−27303.9	+	8017.16i	−1.35912	+	0.399075i	−0.878454	−	0.477827i	$-0.841424\pi$
$739$	−27303.9	+	8017.16i	−1.35912	+	0.399075i	−0.480669	+	0.876902i	$0.659606\pi$
$740$	2322.10	+	447.547i	0.115354	+	0.0222327i
$741$	2022.73	+	35495.3i	0.100279	+	1.75972i
$742$	−24331.4	+	4689.49i	−1.20382	+	0.232017i
$743$	−35804.1	−	14333.8i	−1.76786	−	0.707746i	−0.997540	−	0.0700935i	$-0.977670\pi$
$743$	−35804.1	−	14333.8i	−1.76786	−	0.707746i	−0.770324	−	0.637653i	$-0.779906\pi$
$744$	28012.2	+	78558.2i	1.38034	+	3.87108i
$745$	17899.4	+	9227.76i	0.880244	+	0.453797i
$746$	−1827.54	+	12710.8i	−0.0896931	+	0.623829i
$747$	19316.0	+	17742.0i	0.946097	+	0.869002i
$748$	−436.240	+	955.232i	−0.0213242	+	0.0466935i
$749$	45941.9	−	18392.3i	2.24123	−	0.897252i
$750$	−32177.4	+	25793.8i	−1.56660	+	1.25581i
$751$	6254.94	−	5964.07i	0.303923	−	0.289790i	−0.522735	−	0.852496i	$-0.675088\pi$
$751$	6254.94	−	5964.07i	0.303923	−	0.289790i	0.826657	+	0.562706i	$0.190240\pi$
$752$	50360.9	+	20161.5i	2.44212	+	0.977676i
$753$	4046.11	−	1229.14i	0.195815	−	0.0594852i
$754$	2514.65	−	52789.1i	0.121457	−	2.54969i
$755$	−3479.61	+	4015.69i	−0.167730	+	0.193571i
$756$	87520.5	−	59769.7i	4.21044	−	2.87540i
$757$	−1247.41	−	2731.46i	−0.0598918	−	0.131145i	0.877320	−	0.479907i	$-0.159329\pi$
$757$	−1247.41	−	2731.46i	−0.0598918	−	0.131145i	−0.937211	+	0.348762i	$0.886602\pi$
$758$	−37127.2	−	64306.1i	−1.77905	−	3.08140i
$759$	−3576.04	−	2197.83i	−0.171017	−	0.105107i
$760$	30728.8	−	53223.8i	1.46664	−	2.54030i
$761$	−20892.5	−	1994.99i	−0.995206	−	0.0950307i	−0.415275	−	0.909696i	$-0.636315\pi$
$761$	−20892.5	−	1994.99i	−0.995206	−	0.0950307i	−0.579931	+	0.814665i	$0.696921\pi$
$762$	56045.7	−	23046.0i	2.66446	−	1.09563i
$763$	33228.6	+	6404.30i	1.57662	+	0.303868i
$764$	81970.1	+	52679.0i	3.88164	+	2.49458i
$765$	−1171.72	−	886.593i	−0.0553773	−	0.0419018i
$766$	−4975.88	−	34608.0i	−0.234707	−	1.63243i
$767$	−7653.59	−	31548.5i	−0.360306	−	1.48520i
$768$	−13612.6	−	5302.93i	−0.639586	−	0.249158i
$769$	24484.8	+	19255.0i	1.14817	+	0.902932i	0.996340	−	0.0854750i	$-0.0272408\pi$
$769$	24484.8	+	19255.0i	1.14817	+	0.902932i	0.151831	+	0.988407i	$0.451483\pi$
$770$	−6529.61	−	9169.55i	−0.305598	−	0.429153i
$771$	1560.75	−	315.930i	0.0729039	−	0.0147574i
$772$	3426.98	−	1371.95i	0.159766	−	0.0639608i
$773$	349.043	−	224.316i	0.0162409	−	0.0104374i	−0.532495	−	0.846433i	$-0.678746\pi$
$773$	349.043	−	224.316i	0.0162409	−	0.0104374i	0.548736	+	0.835996i	$0.315109\pi$
$774$	20940.6	+	1606.16i	0.972471	+	0.0745893i
$775$	−2106.13	−	14648.5i	−0.0976187	−	0.678953i
$776$	35723.6	−	103217.i	1.65258	−	4.77482i
$777$	2446.35	+	1232.44i	0.112950	+	0.0569030i
$778$	−5800.51	−	16759.5i	−0.267299	−	0.772309i
$779$	3508.76	−	14463.3i	0.161379	−	0.665214i
$780$	50840.9	−	474.075i	2.33384	−	0.0217623i
$781$	2489.80	+	4312.46i	0.114074	+	0.197582i
$782$	1657.87	−	3736.39i	0.0758122	−	0.170861i
$783$	17147.0	+	15457.4i	0.782608	+	0.705495i
$784$	81836.6	+	179197.i	3.72798	+	8.16314i
$785$	3598.67	+	3431.32i	0.163620	+	0.156012i
$786$	−3650.53	−	7800.24i	−0.165662	−	0.353976i
$787$	183.567	−	94.6351i	0.00831441	−	0.00428638i	−0.454064	−	0.890969i	$-0.650026\pi$
$787$	183.567	−	94.6351i	0.00831441	−	0.00428638i	0.462379	+	0.886683i	$0.346996\pi$
$788$	20280.5	−	3908.75i	0.916832	−	0.176705i
$789$	−4435.56	−	17567.1i	−0.200140	−	0.792653i
$790$	1022.26	+	4213.81i	0.0460384	+	0.189773i
$791$	−26988.3	+	17344.3i	−1.21314	+	0.779638i
$792$	12123.9	+	5966.82i	0.543946	+	0.267704i
$793$	−4580.95	+	10030.9i	−0.205138	+	0.449189i
$794$	−65152.8	+	6221.34i	−2.91207	+	0.278069i
$795$	4593.06	−	2422.36i	0.204904	−	0.108066i
$796$	−1431.82	−	30057.6i	−0.0637557	−	1.33840i
$797$	10394.8	−	9911.43i	0.461986	−	0.440503i	−0.422994	−	0.906133i	$-0.639021\pi$
$797$	10394.8	−	9911.43i	0.461986	−	0.440503i	0.884980	+	0.465630i	$0.154172\pi$
$798$	83109.0	−	80737.1i	3.68675	−	3.58153i
$799$	611.843	−	1767.80i	0.0270907	−	0.0782733i
$800$	27982.9	+	17983.5i	1.23668	+	0.794766i
$801$	11715.3	−	218.502i	0.516779	−	0.00963843i
$802$	−5064.92	+	1487.19i	−0.223003	+	0.0654796i
$803$	−1000.99	+	1405.69i	−0.0439901	+	0.0617755i
$804$	−22.2397	+	2.33309i	−0.000975539	+	0.000102340i
$805$	18620.2	+	25560.2i	0.815250	+	1.11910i
$806$	−37717.4	+	65328.5i	−1.64831	+	2.85496i
$807$	−8922.15	+	83.1962i	−0.389188	+	0.00362905i
$808$	−16414.4	−	15651.1i	−0.714676	−	0.681442i
$809$	6437.84	−	7429.67i	0.279781	−	0.322884i	−0.598414	−	0.801187i	$-0.704202\pi$
$809$	6437.84	−	7429.67i	0.279781	−	0.322884i	0.878195	+	0.478303i	$0.158748\pi$
$810$	−19271.3	+	23992.6i	−0.835957	+	1.04076i
$811$	−6268.06	−	7233.73i	−0.271395	−	0.313207i	0.603649	−	0.797250i	$-0.293713\pi$
$811$	−6268.06	−	7233.73i	−0.271395	−	0.313207i	−0.875044	+	0.484044i	$0.839168\pi$
$812$	−97709.6	+	76839.7i	−4.22283	+	3.32087i
$813$	6382.59	−	7506.19i	0.275335	−	0.323805i
$814$	27.0484	+	567.816i	0.00116468	+	0.0244496i
$815$	−4282.07	−	3367.46i	−0.184042	−	0.144732i
$816$	−2290.88	+	6824.28i	−0.0982805	+	0.292767i
$817$	16496.1	−	1575.19i	0.706396	−	0.0674527i
$818$	585.735	−	4073.88i	0.0250364	−	0.174132i
$819$	56807.1	+	15535.5i	2.42369	+	0.662825i
$820$	−20421.3	−	5996.25i	−0.869688	−	0.255363i
$821$	14076.3	−	11069.7i	0.598377	−	0.470569i	−0.272443	−	0.962172i	$-0.587831\pi$
$821$	14076.3	−	11069.7i	0.598377	−	0.470569i	0.870819	+	0.491604i	$0.163589\pi$
$822$	−12757.4	+	54812.3i	−0.541319	+	2.32579i
$823$	−9361.37	+	4826.12i	−0.396497	+	0.204408i	−0.644931	−	0.764240i	$-0.723114\pi$
$823$	−9361.37	+	4826.12i	−0.396497	+	0.204408i	0.248435	+	0.968649i	$0.420084\pi$
$824$	17760.5	+	51315.5i	0.750868	+	2.16949i
$825$	−1898.46	−	1464.52i	−0.0801162	−	0.0618038i
$826$	−61370.4	+	86182.7i	−2.58517	+	3.63036i
$827$	12759.4			0.536504			0.268252	−	0.963349i	$-0.413554\pi$
$827$	12759.4			0.536504			0.268252	+	0.963349i	$0.413554\pi$
$828$	−55727.4	−	26683.4i	−2.33896	−	1.11994i
$829$	−17669.6			−0.740277			−0.370139	−	0.928977i	$-0.620690\pi$
$829$	−17669.6			−0.740277			−0.370139	+	0.928977i	$0.620690\pi$
$830$	23785.8	−	33402.5i	0.994721	−	1.39689i
$831$	−29557.3	+	12153.9i	−1.23385	+	0.507359i
$832$	−24039.4	−	69457.2i	−1.00170	−	2.89423i
$833$	6038.31	−	3112.97i	0.251159	−	0.129481i
$834$	28317.0	−	8602.21i	1.17570	−	0.357159i
$835$	7976.45	−	6272.75i	0.330583	−	0.259973i
$836$	16650.7	+	4889.09i	0.688849	+	0.202264i
$837$	−11644.2	−	30825.8i	−0.480864	−	1.27299i
$838$	7240.86	−	50361.3i	0.298486	−	2.07602i
$839$	−33419.1	+	3191.14i	−1.37516	+	0.131311i	−0.756317	−	0.654206i	$-0.773003\pi$
$839$	−33419.1	+	3191.14i	−1.37516	+	0.131311i	−0.618840	+	0.785517i	$0.712397\pi$
$840$	−67381.9	−	76313.3i	−2.76773	−	3.13459i
$841$	−2112.63	−	1661.39i	−0.0866221	−	0.0681204i
$842$	−1158.59	−	24321.9i	−0.0474202	−	0.995472i
$843$	12803.7	+	2344.10i	0.523110	+	0.0957712i
$844$	7395.63	−	5815.99i	0.301621	−	0.237197i
$845$	7173.97	+	8279.20i	0.292062	+	0.337057i
$846$	−36638.3	−	13880.8i	−1.48895	−	0.564102i
$847$	−30459.1	+	35151.6i	−1.23564	+	1.42600i
$848$	−18411.6	−	17555.4i	−0.745586	−	0.710915i
$849$	4204.51	−	7441.82i	0.169963	−	0.300828i
$850$	1167.50	−	2022.17i	0.0471117	−	0.0815999i
$851$	−93.1925	−	1594.23i	−0.00375393	−	0.0642179i
$852$	43072.8	+	59309.1i	1.73199	+	2.38485i
$853$	−21035.6	+	29540.4i	−0.844368	+	1.18575i	0.136416	+	0.990652i	$0.456442\pi$
$853$	−21035.6	+	29540.4i	−0.844368	+	1.18575i	−0.980784	+	0.195097i	$0.937498\pi$
$854$	34483.1	−	10125.2i	1.38172	−	0.405709i
$855$	−11746.4	+	21251.0i	−0.469847	+	0.850021i
$856$	78132.3	+	50212.6i	3.11975	+	2.00494i
$857$	6019.04	−	17390.9i	0.239914	−	0.693187i	−0.759190	−	0.650869i	$-0.774405\pi$
$857$	6019.04	−	17390.9i	0.239914	−	0.693187i	0.999104	−	0.0423178i	$-0.0134742\pi$
$858$	2992.00	+	11849.8i	0.119050	+	0.471499i
$859$	−26880.6	+	25630.6i	−1.06770	+	1.01805i	−0.0679054	+	0.997692i	$0.521632\pi$
$859$	−26880.6	+	25630.6i	−1.06770	+	1.01805i	−0.999793	+	0.0203564i	$0.993520\pi$
$860$	−1127.59	−	23671.0i	−0.0447099	−	0.938577i
$861$	−20863.0	−	13134.6i	−0.825796	−	0.519891i
$862$	54759.5	−	5228.89i	2.16371	−	0.206609i
$863$	13069.0	−	28617.1i	0.515496	−	1.12878i	−0.455621	−	0.890174i	$-0.650583\pi$
$863$	13069.0	−	28617.1i	0.515496	−	1.12878i	0.971117	−	0.238605i	$-0.0766901\pi$
$864$	69501.9	+	25593.0i	2.73669	+	1.00774i
$865$	11260.2	−	7236.52i	0.442612	−	0.284450i
$866$	1052.38	+	4337.96i	0.0412947	+	0.170219i
$867$	−24321.8	−	6895.84i	−0.952723	−	0.270121i
$868$	174221.	−	33578.4i	6.81274	−	1.31305i
$869$	−668.608	+	344.691i	−0.0261001	+	0.0134555i
$870$	20661.4	−	29595.1i	0.805159	−	1.15330i
$871$	−8.99322	−	8.57502i	−0.000349855	−	0.000333586i
$872$	26383.4	+	57771.5i	1.02460	+	2.24357i
$873$	−13351.2	+	41036.1i	−0.517605	+	1.59091i
$874$	−65015.3	−	18330.6i	−2.51622	−	0.709430i
$875$	26950.4	+	46679.4i	1.04124	+	1.80349i
$876$	−12495.2	+	22116.1i	−0.481935	+	0.853007i
$877$	−1150.75	+	4743.44i	−0.0443078	+	0.182639i	−0.989665	−	0.143396i	$-0.954198\pi$
$877$	−1150.75	+	4743.44i	−0.0443078	+	0.182639i	0.945358	+	0.326035i	$0.105713\pi$
$878$	−3350.38	−	9680.28i	−0.128781	−	0.372088i
$879$	−180.587	−	3168.98i	−0.00692953	−	0.121601i
$880$	3779.90	−	10921.3i	0.144796	−	0.418360i
$881$	2284.70	+	15890.4i	0.0873705	+	0.607675i	0.985720	+	0.168393i	$0.0538579\pi$
$881$	2284.70	+	15890.4i	0.0873705	+	0.607675i	−0.898349	+	0.439282i	$0.855233\pi$
$882$	−61509.5	−	128300.i	−2.34822	−	4.89806i
$883$	−13617.2	+	8751.22i	−0.518974	+	0.333524i	−0.773766	−	0.633472i	$-0.781629\pi$
$883$	−13617.2	+	8751.22i	−0.518974	+	0.333524i	0.254792	+	0.966996i	$0.417993\pi$
$884$	−7974.47	+	3192.49i	−0.303405	+	0.121465i
$885$	7055.89	−	21018.7i	0.268001	−	0.798347i
$886$	26879.7	+	37747.2i	1.01923	+	1.43131i
$887$	−16580.5	−	13039.0i	−0.627642	−	0.493583i	0.252937	−	0.967483i	$-0.418603\pi$
$887$	−16580.5	−	13039.0i	−0.627642	−	0.493583i	−0.880579	+	0.473900i	$0.842846\pi$
$888$	779.058	+	5081.63i	0.0294408	+	0.192037i
$889$	−18673.0	−	76971.0i	−0.704467	−	2.90385i
$890$	−2607.17	−	18133.3i	−0.0981939	−	0.682953i
$891$	−4833.18	−	2267.70i	−0.181726	−	0.0852648i
$892$	−108401.	−	69665.4i	−4.06900	−	2.61499i
$893$	−30355.0	−	5850.44i	−1.13750	−	0.219236i
$894$	−9482.73	+	70622.5i	−0.354754	+	2.64202i
$895$	20704.1	+	1977.00i	0.773254	+	0.0738368i
$896$	−42878.8	+	74268.3i	−1.59875	+	2.76912i
$897$	−8763.97	−	33196.5i	−0.326221	−	1.23567i
$898$	−17237.0	−	29855.3i	−0.640541	−	1.10945i
$899$	16055.1	+	35155.7i	0.595626	+	1.30424i
$900$	−30042.0	−	18524.5i	−1.11267	−	0.686091i
$901$	−574.500	+	663.009i	−0.0212424	+	0.0245150i
$902$	243.435	−	5110.34i	0.00898616	−	0.188643i
$903$	6222.56	−	26735.4i	0.229318	−	0.985269i
$904$	−55896.5	−	22377.6i	−2.05652	−	0.823305i
$905$	4921.71	−	4692.84i	0.180777	−	0.172371i
$906$	−17519.0	−	6824.70i	−0.642415	−	0.250260i
$907$	8335.77	−	3337.14i	0.305165	−	0.122170i	−0.214026	−	0.976828i	$-0.568658\pi$
$907$	8335.77	−	3337.14i	0.305165	−	0.122170i	0.519191	+	0.854658i	$0.326233\pi$
$908$	−41271.7	+	90372.4i	−1.50842	+	3.30299i
$909$	6599.38	+	6061.61i	0.240800	+	0.221178i
$910$	13104.0	−	91140.5i	0.477356	−	3.32009i
$911$	2732.34	+	1408.62i	0.0993705	+	0.0512291i	0.507195	−	0.861831i	$-0.330682\pi$
$911$	2732.34	+	1408.62i	0.0993705	+	0.0512291i	−0.407825	+	0.913060i	$0.633713\pi$
$912$	117013.	+	21422.8i	4.24856	+	0.777828i
$913$	6604.28	+	2643.95i	0.239397	+	0.0958402i
$914$	−45330.1	+	8736.67i	−1.64047	+	0.316174i
$915$	−6297.49	+	4130.63i	−0.227529	+	0.149240i
$916$	−90796.5	−	17499.6i	−3.27511	−	0.631225i
$917$	−10800.3	+	3171.26i	−0.388940	+	0.114203i
$918$	1562.38	−	4958.82i	0.0561725	−	0.178285i
$919$	34110.5			1.22438			0.612188	−	0.790712i	$-0.290290\pi$
$919$	34110.5			1.22438			0.612188	+	0.790712i	$0.290290\pi$
$920$	−18805.3	+	56292.3i	−0.673905	+	2.01728i
$921$	8789.19	−	19730.5i	0.314456	−	0.705907i
$922$	4532.43	+	432.795i	0.161895	+	0.0154591i
$923$	−9602.87	+	39583.5i	−0.342451	+	1.41160i
$924$	16455.4	−	23570.4i	0.585868	−	0.839189i
$925$	43.4054	−	911.191i	0.00154288	−	0.0323889i
$926$	−23845.2	−	27518.8i	−0.846223	−	0.976593i
$927$	−7393.85	−	20139.9i	−0.261970	−	0.713572i
$928$	−83349.4	−	24473.6i	−2.94836	−	0.865716i
$929$	−20642.3	−	10641.9i	−0.729012	−	0.375832i	0.0534163	−	0.998572i	$-0.482989\pi$
$929$	−20642.3	−	10641.9i	−0.729012	−	0.375832i	−0.782428	+	0.622740i	$0.786019\pi$
$930$	−45570.0	+	24033.4i	−1.60677	+	0.847405i
$931$	−65119.8	−	91448.0i	−2.29239	−	3.21921i
$932$	−31931.6	−	44841.7i	−1.12227	−	1.57601i
$933$	21298.7	−	11232.8i	0.747360	−	0.394154i
$934$	75324.2	+	38832.3i	2.63885	+	1.36042i
$935$	−382.396	−	112.281i	−0.0133751	−	0.00392727i
$936$	38092.3	+	103759.i	1.33022	+	3.62335i
$937$	25.1073	+	28.9753i	0.000875366	+	0.00101023i	0.756187	−	0.654355i	$-0.227060\pi$
$937$	25.1073	+	28.9753i	0.000875366	+	0.00101023i	−0.755312	+	0.655366i	$0.772515\pi$
$938$	−1.92695	+	40.4516i	−6.70757e−5	+	0.00140809i
$939$	15215.5	−	21794.5i	0.528797	−	0.757441i
$940$	−10422.6	+	42962.5i	−0.361646	+	1.49072i
$941$	36335.4	+	3469.61i	1.25877	+	0.120198i	0.703030	−	0.711160i	$-0.251830\pi$
$941$	36335.4	+	3469.61i	1.25877	+	0.120198i	0.555738	+	0.831358i	$0.312436\pi$
$942$	−7159.35	+	16071.7i	−0.247627	+	0.555886i
$943$	−528.934	+	14362.8i	−0.0182656	+	0.495988i
$944$	−108621.			−3.74504
$945$	27179.6	+	29649.0i	0.935610	+	1.02062i
$946$	5465.76	−	1604.89i	0.187851	−	0.0551581i
$947$	7098.27	+	1368.08i	0.243572	+	0.0469447i	0.309576	−	0.950875i	$-0.399813\pi$
$947$	7098.27	+	1368.08i	0.243572	+	0.0469447i	−0.0660039	+	0.997819i	$0.521025\pi$
$948$	−9258.81	+	6073.00i	−0.317207	+	0.208061i
$949$	−13860.4	+	2671.37i	−0.474107	+	0.0913767i
$950$	−35822.5	−	14341.2i	−1.22341	−	0.489778i
$951$	37212.8	+	6812.94i	1.26888	+	0.232308i
$952$	15287.5	+	7881.23i	0.520451	+	0.268311i
$953$	7310.88	−	50848.3i	0.248502	−	1.72837i	−0.358377	−	0.933577i	$-0.616670\pi$
$953$	7310.88	−	50848.3i	0.248502	−	1.72837i	0.606879	−	0.794794i	$-0.292421\pi$
$954$	13531.9	+	12429.2i	0.459235	+	0.421813i
$955$	−15361.7	+	33637.4i	−0.520516	+	1.13977i
$956$	−83592.1	+	33465.2i	−2.82799	+	1.13216i
$957$	5834.58	+	2272.92i	0.197080	+	0.0767745i
$958$	17092.9	−	16298.0i	0.576457	−	0.549651i
$959$	68286.3	+	27337.7i	2.29935	+	0.920523i
$960$	11379.1	−	48890.8i	0.382563	−	1.64369i
$961$	1207.36	−	25345.6i	0.0405277	−	0.850781i
$962$	−3045.00	+	3514.12i	−0.102053	+	0.117775i
$963$	−31233.9	−	19259.4i	−1.04517	−	0.644472i
$964$	−19721.9	−	43185.0i	−0.658921	−	1.44284i
$965$	700.469	+	1213.25i	0.0233667	+	0.0404724i
$966$	−63059.7	+	92434.8i	−2.10032	+	3.07872i
$967$	−26427.0	+	45772.9i	−0.878837	+	1.52219i	−0.0262187	+	0.999656i	$0.508347\pi$
$967$	−26427.0	+	45772.9i	−0.878837	+	1.52219i	−0.852618	+	0.522534i	$0.824987\pi$
$968$	−86898.4	−	8297.80i	−2.88535	−	0.275518i
$969$	545.924	−	4065.76i	0.0180987	−	0.134789i
$970$	66249.8	+	12768.6i	2.19294	+	0.422655i
$971$	870.591	+	559.495i	0.0287730	+	0.0184913i	0.554948	−	0.831885i	$-0.312738\pi$
$971$	870.591	+	559.495i	0.0287730	+	0.0184913i	−0.526175	+	0.850376i	$0.676374\pi$
$972$	−74238.8	−	25775.6i	−2.44980	−	0.850569i
$973$	−5504.84	−	38287.0i	−0.181374	−	1.26149i
$974$	25209.0	+	103913.i	0.829310	+	3.41846i
$975$	−2972.04	−	19386.0i	−0.0976221	−	0.636769i
$976$	29003.0	+	22808.2i	0.951191	+	0.748025i
$977$	−18770.8	−	26359.9i	−0.614669	−	0.863181i	0.383508	−	0.923537i	$-0.374716\pi$
$977$	−18770.8	−	26359.9i	−0.614669	−	0.863181i	−0.998177	+	0.0603562i	$0.980776\pi$
$978$	6134.32	−	18273.5i	0.200566	−	0.597466i
$979$	2950.51	−	1181.20i	0.0963213	−	0.0385612i
$980$	−135060.	+	86797.7i	−4.40238	+	2.82924i
$981$	−10847.7	−	22626.7i	−0.353047	−	0.736405i
$982$	8976.72	+	62434.4i	0.291709	+	2.02888i
$983$	−13576.0	+	39225.2i	−0.440494	+	1.27272i	0.478373	+	0.878157i	$0.341227\pi$
$983$	−13576.0	+	39225.2i	−0.440494	+	1.27272i	−0.918867	+	0.394568i	$0.870894\pi$
$984$	−2632.41	−	46194.1i	−0.0852827	−	1.49656i
$985$	2563.69	+	7407.29i	0.0829298	+	0.239610i
$986$	−1437.64	+	5926.04i	−0.0464339	+	0.191403i
$987$	−25189.5	+	44584.4i	−0.812350	+	1.43783i
$988$	70974.1	+	122931.i	2.28541	+	3.95845i
$989$	−15305.2	+	4673.97i	−0.492090	+	0.150276i
$990$	−2582.46	+	7937.43i	−0.0829050	+	0.254816i
$991$	−14802.1	−	32412.1i	−0.474475	−	1.03895i	−0.983946	−	0.178467i	$-0.942886\pi$
$991$	−14802.1	−	32412.1i	−0.474475	−	1.03895i	0.509471	−	0.860488i	$-0.329841\pi$
$992$	89737.8	+	85564.8i	2.87215	+	2.73859i
$993$	−11793.0	+	16892.1i	−0.376877	+	0.539833i
$994$	117990.	−	60828.1i	3.76501	−	1.94100i
$995$	11213.8	−	2161.29i	0.357289	−	0.0688618i
$996$	100745.	+	28563.7i	3.20504	+	0.908711i
$997$	−3694.56	−	15229.2i	−0.117360	−	0.483764i	−0.999908	−	0.0135426i	$-0.995689\pi$
$997$	−3694.56	−	15229.2i	−0.117360	−	0.483764i	0.882548	−	0.470222i	$-0.155826\pi$
$998$	33458.9	−	21502.8i	1.06125	−	0.682022i
$999$	−345.184	−	2001.62i	−0.0109321	−	0.0633918i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	207.4.m.a.4.2	✓	1400
9.7	even	3	inner	207.4.m.a.142.69	yes	1400
23.6	even	11	inner	207.4.m.a.121.69	yes	1400
207.52	even	33	inner	207.4.m.a.52.2	yes	1400

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
207.4.m.a.4.2	✓	1400	1.1	even	1	trivial
207.4.m.a.52.2	yes	1400	207.52	even	33	inner
207.4.m.a.121.69	yes	1400	23.6	even	11	inner
207.4.m.a.142.69	yes	1400	9.7	even	3	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:	\( N \)	\(=\)	\( 207 = 3^{2} \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 4 \)
Character orbit:	\([\chi]\)	\(=\)	207.m (of order \(33\), degree \(20\), minimal)

\(f(q)\)	\(=\)	\(q+(-3.11000 + 4.36738i) q^{2} +(0.691500 - 5.14993i) q^{3} +(-6.78539 - 19.6051i) q^{4} +(6.99819 - 3.60782i) q^{5} +(20.3412 + 19.0363i) q^{6} +(28.6222 - 22.5088i) q^{7} +(65.5705 + 19.2532i) q^{8} +(-26.0437 - 7.12236i) q^{9} +(-6.00764 + 41.7841i) q^{10} +(-7.29021 + 0.696131i) q^{11} +(-105.657 + 21.3874i) q^{12} +(-47.0870 - 37.0296i) q^{13} +(9.28930 + 195.006i) q^{14} +(-13.7408 - 38.5350i) q^{15} +(-157.550 + 123.899i) q^{16} +(4.52631 + 5.22364i) q^{17} +(112.102 - 91.5920i) q^{18} +(74.7985 - 86.3221i) q^{19} +(-118.217 - 112.720i) q^{20} +(-96.1264 - 162.967i) q^{21} +(19.6323 - 34.0041i) q^{22} +(-54.1182 + 96.1157i) q^{23} +(144.495 - 324.370i) q^{24} +(-36.5488 + 51.3256i) q^{25} +(308.163 - 90.4848i) q^{26} +(-54.6889 + 129.198i) q^{27} +(-635.499 - 408.410i) q^{28} +(53.8190 - 155.500i) q^{29} +(211.031 + 59.8327i) q^{30} +(-169.986 + 162.081i) q^{31} +(-25.1192 - 527.316i) q^{32} +(-1.45615 + 38.0255i) q^{33} +(-36.8905 + 3.52261i) q^{34} +(119.096 - 260.784i) q^{35} +(37.0817 + 558.916i) q^{36} +(-12.1794 + 7.82723i) q^{37} +(144.378 + 595.135i) q^{38} +(-223.261 + 216.889i) q^{39} +(528.337 - 101.829i) q^{40} +(115.814 - 59.7065i) q^{41} +(1010.69 + 87.0077i) q^{42} +(105.000 + 100.117i) q^{43} +(63.1146 + 138.202i) q^{44} +(-207.955 + 44.1171i) q^{45} +(-251.466 - 535.274i) q^{46} +(-135.324 - 234.389i) q^{47} +(529.125 + 897.049i) q^{48} +(231.722 - 955.170i) q^{49} +(-110.492 - 319.245i) q^{50} +(30.0314 - 19.6981i) q^{51} +(-406.466 + 1174.41i) q^{52} +(18.0632 + 125.633i) q^{53} +(-394.175 - 640.653i) q^{54} +(-48.5068 + 31.1734i) q^{55} +(2310.14 - 924.841i) q^{56} +(-392.830 - 444.899i) q^{57} +(511.750 + 718.652i) q^{58} +(425.990 + 335.002i) q^{59} +(-662.246 + 530.864i) q^{60} +(-43.4002 - 178.898i) q^{61} +(-179.214 - 1246.46i) q^{62} +(-905.743 + 382.353i) q^{63} +(1032.20 + 663.353i) q^{64} +(-463.120 - 89.2591i) q^{65} +(-161.543 - 124.619i) q^{66} +(0.206498 + 0.0197182i) q^{67} +(71.6972 - 124.183i) q^{68} +(457.567 + 345.169i) q^{69} +(768.556 + 1331.18i) q^{70} +(-282.466 - 618.513i) q^{71} +(-1570.57 - 968.442i) q^{72} +(154.311 - 178.084i) q^{73} +(3.69344 - 77.5348i) q^{74} +(239.050 + 223.715i) q^{75} +(-2199.89 - 880.702i) q^{76} +(-192.993 + 184.018i) q^{77} +(-252.896 - 1649.59i) q^{78} +(95.3584 - 38.1758i) q^{79} +(-655.562 + 1435.48i) q^{80} +(627.544 + 370.985i) q^{81} +(-99.4217 + 691.493i) q^{82} +(-863.407 - 445.117i) q^{83} +(-2542.73 + 2990.36i) q^{84} +(50.5220 + 20.2259i) q^{85} +(-763.797 + 147.210i) q^{86} +(-763.597 - 384.692i) q^{87} +(-491.426 - 94.7145i) q^{88} +(-416.396 + 122.265i) q^{89} +(454.062 - 1045.42i) q^{90} -2181.23 q^{91} +(2251.57 + 408.809i) q^{92} +(717.161 + 987.494i) q^{93} +(1444.52 + 137.935i) q^{94} +(212.020 - 873.958i) q^{95} +(-2733.01 - 235.277i) q^{96} +(76.0489 - 1596.46i) q^{97} +(3450.94 + 3982.59i) q^{98} +(194.822 + 33.7937i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 1400 q - 9 q^{2} - 14 q^{3} + 263 q^{4} + 19 q^{5} - 35 q^{6} - 9 q^{7} - 74 q^{8} - 78 q^{9} - 68 q^{10} + 79 q^{11} + 54 q^{12} - 9 q^{13} + 159 q^{14} - 868 q^{15} + 1031 q^{16} - 308 q^{17} - 87 q^{18}+ \cdots + 7484 q^{99}+O(q^{100}) \) 1400 * q - 9 * q^2 - 14 * q^3 + 263 * q^4 + 19 * q^5 - 35 * q^6 - 9 * q^7 - 74 * q^8 - 78 * q^9 - 68 * q^10 + 79 * q^11 + 54 * q^12 - 9 * q^13 + 159 * q^14 - 868 * q^15 + 1031 * q^16 - 308 * q^17 - 87 * q^18 - 36 * q^19 + 119 * q^20 - 660 * q^21 - 52 * q^22 - 116 * q^23 + 2420 * q^24 + 1397 * q^25 + 432 * q^26 + 274 * q^27 - 324 * q^28 - 45 * q^29 + 768 * q^30 - 45 * q^31 + 111 * q^32 - 1664 * q^33 + 403 * q^34 - 536 * q^35 - 121 * q^36 - 180 * q^37 - 117 * q^38 - 46 * q^39 - 473 * q^40 - 333 * q^41 - 332 * q^42 - 9 * q^43 - 1908 * q^44 + 1762 * q^45 + 484 * q^46 + 216 * q^47 + 1072 * q^48 + 4615 * q^49 - 105 * q^50 + 1298 * q^51 - 708 * q^52 - 1380 * q^53 + 4116 * q^54 - 1328 * q^55 - 3971 * q^56 + 2154 * q^57 - 338 * q^58 + 1917 * q^59 + 154 * q^60 + 27 * q^61 - 3854 * q^62 - 4850 * q^63 - 5854 * q^64 + 3363 * q^65 - 2017 * q^66 + 603 * q^67 - 18454 * q^68 - 4653 * q^69 + 542 * q^70 - 5296 * q^71 - 8044 * q^72 - 36 * q^73 + 3243 * q^74 + 5140 * q^75 - 1029 * q^76 - 1661 * q^77 + 14687 * q^78 - 9 * q^79 + 10312 * q^80 - 294 * q^81 - 770 * q^82 - 2735 * q^83 + 2298 * q^84 + 241 * q^85 + 10507 * q^86 - 10268 * q^87 + 2183 * q^88 - 2980 * q^89 + 33928 * q^90 - 1452 * q^91 - 1973 * q^92 - 11406 * q^93 + 2034 * q^94 - 3339 * q^95 - 4446 * q^96 - 5193 * q^97 + 14820 * q^98 + 7484 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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