LMFDB - Embedded newform 201.3.k.a.14.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [201,3,Mod(14,201)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(201, base_ring=CyclotomicField(22))

chi = DirichletCharacter(H, H._module([11, 8]))

N = Newforms(chi, 3, names="a")

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

chi := DirichletCharacter("201.14");

S:= CuspForms(chi, 3);

N := Newforms(S);

Level:	$ N $	$=$	$ 201 = 3 \cdot 67 $
Weight:	$ k $	$=$	$ 3 $
Character orbit:	$[\chi]$	$=$	201.k (of order $22$, degree $10$, minimal)

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

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

Self dual:	no
Analytic conductor:	$5.47685331364$
Analytic rank:	$0$
Dimension:	$440$
Relative dimension:	$44$ over $\Q(\zeta_{22})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label			14.1
Character	$\chi$	$=$	201.14
Dual form			201.3.k.a.158.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-3.56006 + 1.62583i) q^{2} +(2.99912 - 0.0728092i) q^{3} +(7.41130 - 8.55309i) q^{4} +(2.34209 - 0.336742i) q^{5} +(-10.5587 + 5.13525i) q^{6} +(0.309168 + 0.676984i) q^{7} +(-8.06833 + 27.4782i) q^{8} +(8.98940 - 0.436727i) q^{9} +O(q^{10})$	\(q+(-3.56006 + 1.62583i) q^{2} +(2.99912 - 0.0728092i) q^{3} +(7.41130 - 8.55309i) q^{4} +(2.34209 - 0.336742i) q^{5} +(-10.5587 + 5.13525i) q^{6} +(0.309168 + 0.676984i) q^{7} +(-8.06833 + 27.4782i) q^{8} +(8.98940 - 0.436727i) q^{9} +(-7.79051 + 5.00666i) q^{10} +(-2.89691 + 0.416513i) q^{11} +(21.6046 - 26.1913i) q^{12} +(6.57973 - 1.93198i) q^{13} +(-2.20132 - 1.90745i) q^{14} +(6.99969 - 1.18045i) q^{15} +(-9.50852 - 66.1332i) q^{16} +(13.8891 - 12.0349i) q^{17} +(-31.2928 + 16.1700i) q^{18} +(-2.58535 + 5.66112i) q^{19} +(14.4778 - 22.5278i) q^{20} +(0.976522 + 2.00784i) q^{21} +(9.63600 - 6.19268i) q^{22} +(21.6812 - 33.7365i) q^{23} +(-22.1972 + 82.9978i) q^{24} +(-18.6153 + 5.46595i) q^{25} +(-20.2832 + 17.5755i) q^{26} +(26.9285 - 1.96431i) q^{27} +(8.08164 + 2.37298i) q^{28} +52.2214i q^{29} +(-23.0001 + 15.5828i) q^{30} +(41.8537 + 12.2893i) q^{31} +(79.4401 + 123.611i) q^{32} +(-8.65784 + 1.46009i) q^{33} +(-29.8792 + 65.4263i) q^{34} +(0.952069 + 1.48145i) q^{35} +(62.8877 - 80.1239i) q^{36} -14.8172 q^{37} -24.3573i q^{38} +(19.5927 - 6.27331i) q^{39} +(-9.64371 + 67.0735i) q^{40} +(10.9888 - 9.52184i) q^{41} +(-6.74088 - 5.56039i) q^{42} +(-22.6522 - 26.1420i) q^{43} +(-17.9074 + 27.8644i) q^{44} +(20.9069 - 4.04996i) q^{45} +(-22.3365 + 155.354i) q^{46} +(5.64889 - 8.78984i) q^{47} +(-33.3323 - 197.649i) q^{48} +(31.7255 - 36.6131i) q^{49} +(57.3851 - 49.7244i) q^{50} +(40.7786 - 37.1054i) q^{51} +(32.2399 - 70.5955i) q^{52} +(-4.19717 - 3.63687i) q^{53} +(-92.6734 + 50.7740i) q^{54} +(-6.64457 + 1.95102i) q^{55} +(-21.0968 + 3.03326i) q^{56} +(-7.34157 + 17.1666i) q^{57} +(-84.9029 - 185.911i) q^{58} +(-25.4591 + 86.7059i) q^{59} +(41.7802 - 68.6177i) q^{60} +(-10.9123 + 75.8966i) q^{61} +(-168.982 + 24.2960i) q^{62} +(3.07489 + 5.95065i) q^{63} +(-258.954 - 166.420i) q^{64} +(14.7597 - 6.74055i) q^{65} +(28.4486 - 19.2742i) q^{66} +(62.4291 + 24.3229i) q^{67} -207.989i q^{68} +(62.5680 - 102.758i) q^{69} +(-5.79800 - 3.72615i) q^{70} +(-68.3985 - 59.2677i) q^{71} +(-60.5290 + 250.536i) q^{72} +(-0.0666646 + 0.463663i) q^{73} +(52.7500 - 24.0901i) q^{74} +(-55.4316 + 17.7484i) q^{75} +(29.2593 + 64.0689i) q^{76} +(-1.17760 - 1.83239i) q^{77} +(-59.5520 + 54.1877i) q^{78} +(97.7358 - 28.6978i) q^{79} +(-44.5397 - 151.688i) q^{80} +(80.6185 - 7.85182i) q^{81} +(-23.6399 + 51.7642i) q^{82} +(-66.3147 + 9.53462i) q^{83} +(24.4106 + 6.52844i) q^{84} +(28.4768 - 32.8640i) q^{85} +(123.146 + 56.2387i) q^{86} +(3.80220 + 156.618i) q^{87} +(11.9282 - 82.9625i) q^{88} +(-19.0266 - 29.6060i) q^{89} +(-67.8455 + 48.4092i) q^{90} +(3.34216 + 3.85706i) q^{91} +(-127.866 - 435.473i) q^{92} +(126.419 + 33.8098i) q^{93} +(-5.81964 + 40.4765i) q^{94} +(-4.14878 + 14.1295i) q^{95} +(247.250 + 364.940i) q^{96} +114.984 q^{97} +(-53.4180 + 181.925i) q^{98} +(-25.8596 + 5.00936i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 440 q - 11 q^{3} + 70 q^{4} - 17 q^{6} - 30 q^{7} - 15 q^{9}+O(q^{10}) $ 440 * q - 11 * q^3 + 70 * q^4 - 17 * q^6 - 30 * q^7 - 15 * q^9	$ 440 q - 11 q^{3} + 70 q^{4} - 17 q^{6} - 30 q^{7} - 15 q^{9} - 34 q^{10} - 123 q^{12} + 10 q^{13} + 19 q^{15} - 226 q^{16} - 33 q^{18} - 100 q^{19} + 85 q^{21} - 454 q^{22} - 251 q^{24} + 142 q^{25} - 53 q^{27} + 642 q^{28} - 80 q^{30} - 130 q^{31} + 104 q^{33} + 26 q^{34} + 67 q^{36} - 144 q^{37} + 117 q^{39} - 182 q^{40} + 193 q^{42} - 156 q^{43} + 341 q^{45} - 746 q^{46} - 485 q^{48} - 354 q^{49} - 125 q^{51} + 1130 q^{52} + 272 q^{54} - 590 q^{55} + 15 q^{57} - 274 q^{58} - 217 q^{60} - 1134 q^{61} + 279 q^{63} + 58 q^{64} + 1288 q^{66} - 87 q^{69} + 1038 q^{70} - 977 q^{72} + 1208 q^{73} - 751 q^{75} + 1126 q^{76} - 11 q^{78} + 678 q^{79} + 125 q^{81} + 510 q^{82} + 191 q^{84} + 166 q^{85} + 1080 q^{87} + 62 q^{88} - 105 q^{90} + 550 q^{91} + 635 q^{93} + 986 q^{94} - 1632 q^{96} - 112 q^{97} - 500 q^{99}+O(q^{100}) $ 440 * q - 11 * q^3 + 70 * q^4 - 17 * q^6 - 30 * q^7 - 15 * q^9 - 34 * q^10 - 123 * q^12 + 10 * q^13 + 19 * q^15 - 226 * q^16 - 33 * q^18 - 100 * q^19 + 85 * q^21 - 454 * q^22 - 251 * q^24 + 142 * q^25 - 53 * q^27 + 642 * q^28 - 80 * q^30 - 130 * q^31 + 104 * q^33 + 26 * q^34 + 67 * q^36 - 144 * q^37 + 117 * q^39 - 182 * q^40 + 193 * q^42 - 156 * q^43 + 341 * q^45 - 746 * q^46 - 485 * q^48 - 354 * q^49 - 125 * q^51 + 1130 * q^52 + 272 * q^54 - 590 * q^55 + 15 * q^57 - 274 * q^58 - 217 * q^60 - 1134 * q^61 + 279 * q^63 + 58 * q^64 + 1288 * q^66 - 87 * q^69 + 1038 * q^70 - 977 * q^72 + 1208 * q^73 - 751 * q^75 + 1126 * q^76 - 11 * q^78 + 678 * q^79 + 125 * q^81 + 510 * q^82 + 191 * q^84 + 166 * q^85 + 1080 * q^87 + 62 * q^88 - 105 * q^90 + 550 * q^91 + 635 * q^93 + 986 * q^94 - 1632 * q^96 - 112 * q^97 - 500 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/201\mathbb{Z}\right)^\times$.

$n$	$68$	$136$
$\chi(n)$	$-1$	$e\left(\frac{4}{11}\right)$

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 $

$2$	−3.56006	+	1.62583i	−1.78003	+	0.812913i	−0.804210	+	0.594345i	$0.797411\pi$
$2$	−3.56006	+	1.62583i	−1.78003	+	0.812913i	−0.975822	+	0.218568i	$0.929861\pi$
$3$	2.99912	−	0.0728092i	0.999705	−	0.0242697i
$3$	2.99912	−	0.0728092i	0.999705	−	0.0242697i
$4$	7.41130	−	8.55309i	1.85282	−	2.13827i
$5$	2.34209	−	0.336742i	0.468418	−	0.0673484i	0.0959357	−	0.995388i	$-0.469416\pi$
$5$	2.34209	−	0.336742i	0.468418	−	0.0673484i	0.372483	+	0.928039i	$0.378507\pi$
$6$	−10.5587	+	5.13525i	−1.75978	+	0.855875i
$7$	0.309168	+	0.676984i	0.0441669	+	0.0967119i	0.930429	−	0.366472i	$-0.119434\pi$
$7$	0.309168	+	0.676984i	0.0441669	+	0.0967119i	−0.886262	+	0.463184i	$0.846707\pi$
$8$	−8.06833	+	27.4782i	−1.00854	+	3.43478i
$9$	8.98940	−	0.436727i	0.998822	−	0.0485252i
$10$	−7.79051	+	5.00666i	−0.779051	+	0.500666i
$11$	−2.89691	+	0.416513i	−0.263355	+	0.0378648i	−0.272728	−	0.962091i	$-0.587926\pi$
$11$	−2.89691	+	0.416513i	−0.263355	+	0.0378648i	0.00937221	+	0.999956i	$0.497017\pi$
$12$	21.6046	−	26.1913i	1.80038	−	2.18261i
$13$	6.57973	−	1.93198i	0.506133	−	0.148614i	−0.0186902	−	0.999825i	$-0.505950\pi$
$13$	6.57973	−	1.93198i	0.506133	−	0.148614i	0.524823	+	0.851211i	$0.324131\pi$
$14$	−2.20132	−	1.90745i	−0.157237	−	0.136247i
$15$	6.99969	−	1.18045i	0.466646	−	0.0786970i
$16$	−9.50852	−	66.1332i	−0.594283	−	4.13333i
$17$	13.8891	−	12.0349i	0.817003	−	0.707937i	−0.142451	−	0.989802i	$-0.545498\pi$
$17$	13.8891	−	12.0349i	0.817003	−	0.707937i	0.959454	+	0.281864i	$0.0909528\pi$
$18$	−31.2928	+	16.1700i	−1.73849	+	0.898332i
$19$	−2.58535	+	5.66112i	−0.136071	+	0.297954i	−0.965385	−	0.260829i	$-0.916004\pi$
$19$	−2.58535	+	5.66112i	−0.136071	+	0.297954i	0.829314	+	0.558783i	$0.188731\pi$
$20$	14.4778	−	22.5278i	0.723888	−	1.12639i
$21$	0.976522	+	2.00784i	0.0465010	+	0.0956115i
$22$	9.63600	−	6.19268i	0.438000	−	0.281486i
$23$	21.6812	−	33.7365i	0.942659	−	1.46681i	0.0592287	−	0.998244i	$-0.481136\pi$
$23$	21.6812	−	33.7365i	0.942659	−	1.46681i	0.883431	−	0.468562i	$-0.155228\pi$
$24$	−22.1972	+	82.9978i	−0.924883	+	3.45824i
$25$	−18.6153	+	5.46595i	−0.744613	+	0.218638i
$26$	−20.2832	+	17.5755i	−0.780122	+	0.675980i
$27$	26.9285	−	1.96431i	0.997350	−	0.0727521i
$28$	8.08164	+	2.37298i	0.288630	+	0.0847494i
$29$			52.2214i			1.80074i	0.435128	+	0.900369i	$0.356703\pi$
$29$			52.2214i			1.80074i	−0.435128	+	0.900369i	$0.643297\pi$
$30$	−23.0001	+	15.5828i	−0.766671	+	0.519426i
$31$	41.8537	+	12.2893i	1.35012	+	0.396431i	0.875269	−	0.483636i	$-0.160684\pi$
$31$	41.8537	+	12.2893i	1.35012	+	0.396431i	0.474850	+	0.880067i	$0.342502\pi$
$32$	79.4401	+	123.611i	2.48250	+	3.86285i
$33$	−8.65784	+	1.46009i	−0.262359	+	0.0442452i
$34$	−29.8792	+	65.4263i	−0.878800	+	1.92430i
$35$	0.952069	+	1.48145i	0.0272020	+	0.0423271i
$36$	62.8877	−	80.1239i	1.74688	−	2.22566i
$37$	−14.8172			−0.400464			−0.200232	−	0.979749i	$-0.564170\pi$
$37$	−14.8172			−0.400464			−0.200232	+	0.979749i	$0.564170\pi$
$38$		−	24.3573i		−	0.640981i
$39$	19.5927	−	6.27331i	0.502377	−	0.160854i
$40$	−9.64371	+	67.0735i	−0.241093	+	1.67684i
$41$	10.9888	−	9.52184i	0.268019	−	0.232240i	−0.510474	−	0.859893i	$-0.670530\pi$
$41$	10.9888	−	9.52184i	0.268019	−	0.232240i	0.778493	+	0.627653i	$0.215984\pi$
$42$	−6.74088	−	5.56039i	−0.160497	−	0.132390i
$43$	−22.6522	−	26.1420i	−0.526795	−	0.607954i	0.428524	−	0.903530i	$-0.359034\pi$
$43$	−22.6522	−	26.1420i	−0.526795	−	0.607954i	−0.955319	+	0.295576i	$0.904488\pi$
$44$	−17.9074	+	27.8644i	−0.406986	+	0.633283i
$45$	20.9069	−	4.04996i	0.464598	−	0.0899992i
$46$	−22.3365	+	155.354i	−0.485577	+	3.37726i
$47$	5.64889	−	8.78984i	0.120189	−	0.187018i	−0.775946	−	0.630800i	$-0.782727\pi$
$47$	5.64889	−	8.78984i	0.120189	−	0.187018i	0.896135	+	0.443782i	$0.146363\pi$
$48$	−33.3323	−	197.649i	−0.694423	−	4.11769i
$49$	31.7255	−	36.6131i	0.647458	−	0.747207i
$50$	57.3851	−	49.7244i	1.14770	−	0.994489i
$51$	40.7786	−	37.1054i	0.799581	−	0.727557i
$52$	32.2399	−	70.5955i	0.619998	−	1.35761i
$53$	−4.19717	−	3.63687i	−0.0791919	−	0.0686201i	0.614365	−	0.789022i	$-0.289412\pi$
$53$	−4.19717	−	3.63687i	−0.0791919	−	0.0686201i	−0.693557	+	0.720402i	$0.743958\pi$
$54$	−92.6734	+	50.7740i	−1.71617	+	0.940260i
$55$	−6.64457	+	1.95102i	−0.120810	+	0.0354731i
$56$	−21.0968	+	3.03326i	−0.376728	+	0.0541653i
$57$	−7.34157	+	17.1666i	−0.128800	+	0.301168i
$58$	−84.9029	−	185.911i	−1.46384	−	3.20537i
$59$	−25.4591	+	86.7059i	−0.431511	+	1.46959i	0.401256	+	0.915966i	$0.368574\pi$
$59$	−25.4591	+	86.7059i	−0.431511	+	1.46959i	−0.832766	+	0.553625i	$0.813244\pi$
$60$	41.7802	−	68.6177i	0.696337	−	1.14363i
$61$	−10.9123	+	75.8966i	−0.178890	+	1.24421i	0.680447	+	0.732797i	$0.261786\pi$
$61$	−10.9123	+	75.8966i	−0.178890	+	1.24421i	−0.859337	+	0.511410i	$0.829123\pi$
$62$	−168.982	+	24.2960i	−2.72552	+	0.391870i
$63$	3.07489	+	5.95065i	0.0488078	+	0.0944548i
$64$	−258.954	−	166.420i	−4.04616	−	2.60031i
$65$	14.7597	−	6.74055i	0.227073	−	0.103701i
$66$	28.4486	−	19.2742i	0.431040	−	0.292033i
$67$	62.4291	+	24.3229i	0.931778	+	0.363028i
$67$	62.4291	+	24.3229i	0.931778	+	0.363028i
$68$		−	207.989i		−	3.05866i
$69$	62.5680	−	102.758i	0.906783	−	1.48925i
$70$	−5.79800	−	3.72615i	−0.0828286	−	0.0532307i
$71$	−68.3985	−	59.2677i	−0.963360	−	0.834756i	0.0229369	−	0.999737i	$-0.492698\pi$
$71$	−68.3985	−	59.2677i	−0.963360	−	0.834756i	−0.986297	+	0.164981i	$0.947244\pi$
$72$	−60.5290	+	250.536i	−0.840680	+	3.47967i
$73$	−0.0666646	+	0.463663i	−0.000913214	+	0.00635154i	−0.990273	−	0.139138i	$-0.955567\pi$
$73$	−0.0666646	+	0.463663i	−0.000913214	+	0.00635154i	0.989360	+	0.145490i	$0.0464758\pi$
$74$	52.7500	−	24.0901i	0.712838	−	0.325542i
$75$	−55.4316	+	17.7484i	−0.739087	+	0.236645i
$76$	29.2593	+	64.0689i	0.384991	+	0.843012i
$77$	−1.17760	−	1.83239i	−0.0152936	−	0.0237972i
$78$	−59.5520	+	54.1877i	−0.763487	+	0.694714i
$79$	97.7358	−	28.6978i	1.23716	−	0.363263i	0.403213	−	0.915106i	$-0.367893\pi$
$79$	97.7358	−	28.6978i	1.23716	−	0.363263i	0.833948	+	0.551843i	$0.186075\pi$
$80$	−44.5397	−	151.688i	−0.556746	−	1.89610i
$81$	80.6185	−	7.85182i	0.995291	−	0.0969361i
$82$	−23.6399	+	51.7642i	−0.288292	+	0.631271i
$83$	−66.3147	+	9.53462i	−0.798973	+	0.114875i	−0.529696	−	0.848188i	$-0.677694\pi$
$83$	−66.3147	+	9.53462i	−0.798973	+	0.114875i	−0.269277	+	0.963063i	$0.586785\pi$
$84$	24.4106	+	6.52844i	0.290602	+	0.0777195i
$85$	28.4768	−	32.8640i	0.335021	−	0.386635i
$86$	123.146	+	56.2387i	1.43193	+	0.653939i
$87$	3.80220	+	156.618i	0.0437035	+	1.80021i
$88$	11.9282	−	82.9625i	0.135548	−	0.942755i
$89$	−19.0266	−	29.6060i	−0.213782	−	0.332652i	0.717756	−	0.696294i	$-0.245169\pi$
$89$	−19.0266	−	29.6060i	−0.213782	−	0.332652i	−0.931538	+	0.363643i	$0.881533\pi$
$90$	−67.8455	+	48.4092i	−0.753839	+	0.537880i
$91$	3.34216	+	3.85706i	0.0367271	+	0.0423853i
$92$	−127.866	−	435.473i	−1.38985	−	4.73340i
$93$	126.419	+	33.8098i	1.35934	+	0.363547i
$94$	−5.81964	+	40.4765i	−0.0619111	+	0.430601i
$95$	−4.14878	+	14.1295i	−0.0436714	+	0.148731i
$96$	247.250	+	364.940i	2.57552	+	3.80146i
$97$	114.984			1.18540			0.592699	−	0.805424i	$-0.298062\pi$
$97$	114.984			1.18540			0.592699	+	0.805424i	$0.298062\pi$
$98$	−53.4180	+	181.925i	−0.545082	+	1.85638i
$99$	−25.8596	+	5.00936i	−0.261208	+	0.0505996i
$100$	−91.2129	+	199.728i	−0.912129	+	1.99728i
$101$	−123.254	−	56.2883i	−1.22034	−	0.557310i	−0.302077	−	0.953284i	$-0.597680\pi$
$101$	−123.254	−	56.2883i	−1.22034	−	0.557310i	−0.918262	+	0.395973i	$0.870407\pi$
$102$	−84.8476	+	198.397i	−0.831839	+	1.94507i
$103$	−166.007	−	48.7441i	−1.61172	−	0.473244i	−0.652944	−	0.757407i	$-0.726466\pi$
$103$	−166.007	−	48.7441i	−1.61172	−	0.473244i	−0.958776	+	0.284163i	$0.908284\pi$
$104$			196.387i			1.88834i
$105$	2.96323	+	4.37372i	0.0282212	+	0.0416544i
$106$	20.8551	+	6.12361i	0.196746	+	0.0577699i
$107$	82.8726	+	11.9153i	0.774510	+	0.111358i	0.518226	−	0.855244i	$-0.326593\pi$
$107$	82.8726	+	11.9153i	0.774510	+	0.111358i	0.256284	+	0.966602i	$0.417502\pi$
$108$	182.774	−	244.880i	1.69235	−	2.26740i
$109$	−137.917	+	40.4960i	−1.26529	+	0.371523i	−0.844461	−	0.535617i	$-0.820079\pi$
$109$	−137.917	+	40.4960i	−1.26529	+	0.371523i	−0.420830	+	0.907140i	$0.638261\pi$
$110$	20.4831	−	17.7487i	0.186210	−	0.161352i
$111$	−44.4384	+	1.07883i	−0.400346	+	0.00971915i
$112$	41.8314	−	26.8834i	0.373495	−	0.240030i
$113$	−85.5748	−	12.3038i	−0.757299	−	0.108883i	−0.247159	−	0.968975i	$-0.579497\pi$
$113$	−85.5748	−	12.3038i	−0.757299	−	0.108883i	−0.510139	+	0.860092i	$0.670406\pi$
$114$	−1.77343	−	73.0503i	−0.0155564	−	0.640792i
$115$	39.4188	−	86.3151i	0.342772	−	0.750566i
$116$	446.654	+	387.028i	3.85047	+	3.33645i
$117$	58.3040	−	20.2409i	0.498325	−	0.172999i
$118$	−50.3325	−	350.071i	−0.426547	−	2.96670i
$119$	12.4415	+	5.68185i	0.104550	+	0.0477466i
$120$	−24.0390	+	201.863i	−0.200325	+	1.68219i
$121$	−107.880	+	31.6764i	−0.891571	+	0.261789i
$122$	−84.5463	−	287.938i	−0.693003	−	2.36015i
$123$	32.2634	−	29.3572i	0.262304	−	0.238676i
$124$	415.302	−	266.898i	3.34921	−	2.15241i
$125$	−95.5669	+	43.6440i	−0.764535	+	0.349152i
$126$	−20.6215	−	16.1855i	−0.163663	−	0.128456i
$127$	−60.5732	−	132.637i	−0.476954	−	1.04438i	−0.983290	−	0.182048i	$-0.941727\pi$
$127$	−60.5732	−	132.637i	−0.476954	−	1.04438i	0.506335	−	0.862337i	$-0.331000\pi$
$128$	610.698	+	87.8052i	4.77108	+	0.685978i
$129$	−69.8399	−	76.7537i	−0.541395	−	0.594990i
$130$	−41.5867	+	47.9936i	−0.319897	+	0.369181i
$131$	−58.3977	+	90.8687i	−0.445784	+	0.693654i	−0.989325	−	0.145729i	$-0.953447\pi$
$131$	−58.3977	+	90.8687i	−0.445784	+	0.693654i	0.543540	+	0.839383i	$0.317084\pi$
$132$	−51.6776	+	84.8725i	−0.391497	+	0.642974i
$133$	−4.63179			−0.0348255
$134$	−261.796	+	14.9079i	−1.95371	+	0.111253i
$135$	62.4074	−	13.6685i	0.462277	−	0.101248i
$136$	218.637	+	478.748i	1.60763	+	3.52021i
$137$	−65.8468	+	102.460i	−0.480633	+	0.747880i	−0.993892	−	0.110354i	$-0.964802\pi$
$137$	−65.8468	+	102.460i	−0.480633	+	0.747880i	0.513259	+	0.858234i	$0.328438\pi$
$138$	−55.6787	+	467.551i	−0.403469	+	3.38805i
$139$	2.80742	+	19.5260i	0.0201973	+	0.140475i	0.997425	−	0.0717185i	$-0.0228483\pi$
$139$	2.80742	+	19.5260i	0.0201973	+	0.140475i	−0.977228	+	0.212194i	$0.931939\pi$
$140$	19.7270	+	2.83632i	0.140907	+	0.0202594i
$141$	16.3017	−	26.7730i	0.115615	−	0.189880i
$142$	339.862	+	99.7925i	2.39340	+	0.702764i
$143$	−18.2562	+	8.33732i	−0.127666	+	0.0583029i
$144$	−114.358	−	590.345i	−0.794153	−	4.09962i
$145$	17.5851	+	122.307i	0.121277	+	0.843499i
$146$	−0.516505	−	1.75905i	−0.00353770	−	0.0120483i
$147$	92.4826	−	112.117i	0.629133	−	0.762700i
$148$	−109.814	+	126.733i	−0.741989	+	0.856301i
$149$	−40.8936	−	18.6755i	−0.274454	−	0.125339i	0.273434	−	0.961891i	$-0.411841\pi$
$149$	−40.8936	−	18.6755i	−0.274454	−	0.125339i	−0.547887	+	0.836552i	$0.684568\pi$
$150$	168.484	−	153.308i	1.12323	−	1.02205i
$151$	−70.8972	−	81.8198i	−0.469518	−	0.541853i	0.470759	−	0.882262i	$-0.343980\pi$
$151$	−70.8972	−	81.8198i	−0.469518	−	0.541853i	−0.940278	+	0.340409i	$0.889435\pi$
$152$	−134.698	−	116.716i	−0.886171	−	0.767872i
$153$	119.598	−	114.253i	0.781688	−	0.746749i
$154$	7.17149	+	4.60884i	0.0465681	+	0.0299275i
$155$	102.163	+	14.6889i	0.659119	+	0.0947670i
$156$	91.5512	−	214.072i	0.586867	−	1.37225i
$157$	−205.264	−	131.915i	−1.30741	−	0.840224i	−0.313415	−	0.949616i	$-0.601473\pi$
$157$	−205.264	−	131.915i	−1.30741	−	0.840224i	−0.993999	+	0.109392i	$0.965110\pi$
$158$	−301.288	+	261.067i	−1.90689	+	1.65233i
$159$	−12.8526	−	10.6018i	−0.0808339	−	0.0666780i
$160$	227.681	+	262.758i	1.42301	+	1.64224i
$161$	29.5422	+	4.24753i	0.183492	+	0.0263822i
$162$	−274.241	+	159.025i	−1.69285	+	0.981634i
$163$	−62.6083			−0.384100			−0.192050	−	0.981385i	$-0.561514\pi$
$163$	−62.6083			−0.384100			−0.192050	+	0.981385i	$0.561514\pi$
$164$		−	164.557i		−	1.00340i
$165$	−19.7858	+	6.33513i	−0.119914	+	0.0383947i
$166$	220.583	−	141.760i	1.32881	−	0.853977i
$167$	65.1413	+	29.7490i	0.390068	+	0.178138i	0.600788	−	0.799409i	$-0.294854\pi$
$167$	65.1413	+	29.7490i	0.390068	+	0.178138i	−0.210720	+	0.977546i	$0.567581\pi$
$168$	−63.0508	+	10.6331i	−0.375303	+	0.0632925i
$169$	−102.612	+	65.9445i	−0.607169	+	0.390204i
$170$	−47.9481	+	163.296i	−0.282047	+	0.960565i
$171$	−20.7683	+	52.0191i	−0.121452	+	0.304205i
$172$	−391.477			−2.27603
$173$	27.4279	−	93.4108i	0.158543	−	0.539947i	−0.841457	−	0.540324i	$-0.818302\pi$
$173$	27.4279	−	93.4108i	0.158543	−	0.539947i	1.00000		0.000376806i	$0.000119941\pi$
$174$	−268.170	−	551.388i	−1.54121	−	3.16890i
$175$	−9.45562	−	10.9124i	−0.0540321	−	0.0623564i
$176$	55.0907	+	187.622i	0.313015	+	1.06603i
$177$	−70.0419	+	261.895i	−0.395717	+	1.47963i
$178$	115.870	+	74.4652i	0.650956	+	0.418344i
$179$	−49.7161	−	77.3597i	−0.277743	−	0.432177i	0.674156	−	0.738589i	$-0.264508\pi$
$179$	−49.7161	−	77.3597i	−0.277743	−	0.432177i	−0.951899	+	0.306412i	$0.900871\pi$
$180$	120.308	−	208.834i	0.668377	−	1.16019i
$181$	133.068	+	85.5175i	0.735181	+	0.472472i	0.853888	−	0.520457i	$-0.174238\pi$
$181$	133.068	+	85.5175i	0.735181	+	0.472472i	−0.118707	+	0.992929i	$0.537875\pi$
$182$	−18.1692	−	8.29761i	−0.0998309	−	0.0455912i
$183$	−27.2012	+	228.417i	−0.148641	+	1.24818i
$184$	752.089	+	867.958i	4.08744	+	4.71716i
$185$	−34.7031	+	4.98956i	−0.187585	+	0.0269706i
$186$	−505.028	+	85.1699i	−2.71520	+	0.457902i
$187$	−35.2226	+	40.6491i	−0.188356	+	0.217375i
$188$	−33.3147	−	113.460i	−0.177206	−	0.603509i
$189$	9.65522	+	17.6228i	0.0510858	+	0.0932424i
$190$	−8.20211	−	57.0470i	−0.0431690	−	0.300247i
$191$	−37.6782	−	58.6284i	−0.197268	−	0.306955i	0.728501	−	0.685045i	$-0.240217\pi$
$191$	−37.6782	−	58.6284i	−0.197268	−	0.306955i	−0.925769	+	0.378090i	$0.876581\pi$
$192$	−788.751	−	480.258i	−4.10808	−	2.50134i
$193$	−57.4534	−	16.8698i	−0.297686	−	0.0874085i	0.129479	−	0.991582i	$-0.458670\pi$
$193$	−57.4534	−	16.8698i	−0.297686	−	0.0874085i	−0.427165	+	0.904174i	$0.640488\pi$
$194$	−409.349	+	186.943i	−2.11005	+	0.963626i
$195$	43.7754	−	21.2903i	0.224489	−	0.109181i
$196$	−78.0287	−	542.702i	−0.398106	−	2.76889i
$197$	−19.0615	−	16.5169i	−0.0967589	−	0.0838421i	0.605138	−	0.796121i	$-0.293118\pi$
$197$	−19.0615	−	16.5169i	−0.0967589	−	0.0838421i	−0.701897	+	0.712278i	$0.747663\pi$
$198$	83.9174	−	59.8768i	0.423825	−	0.302408i
$199$	−49.8075	−	109.063i	−0.250289	−	0.548056i	0.742230	−	0.670145i	$-0.233768\pi$
$199$	−49.8075	−	109.063i	−0.250289	−	0.548056i	−0.992519	+	0.122089i	$0.961041\pi$
$200$		−	555.617i		−	2.77809i
$201$	189.003	+	68.4017i	0.940314	+	0.340307i
$202$	530.308			2.62529
$203$	−35.3530	+	16.1452i	−0.174153	+	0.0795329i
$204$	−15.1435	−	623.783i	−0.0742329	−	3.05776i
$205$	22.5303	−	26.0014i	0.109904	−	0.126836i
$206$	670.245	−	96.3667i	3.25362	−	0.467800i
$207$	180.167	−	312.740i	0.870372	−	1.51082i
$208$	−190.332	−	416.768i	−0.915057	−	2.00369i
$209$	5.13159	−	17.4766i	0.0245530	−	0.0836200i
$210$	−17.6602	−	10.7530i	−0.0840961	−	0.0512048i
$211$	12.2945	−	7.90118i	0.0582677	−	0.0374464i	−0.511183	−	0.859472i	$-0.670792\pi$
$211$	12.2945	−	7.90118i	0.0582677	−	0.0374464i	0.569450	+	0.822026i	$0.307156\pi$
$212$	−62.2129	+	8.94487i	−0.293457	+	0.0421928i
$213$	−209.450	−	172.771i	−0.983335	−	0.811130i
$214$	−314.404	+	92.3173i	−1.46918	+	0.431389i
$215$	−61.8566	−	53.5991i	−0.287705	−	0.249298i
$216$	−163.292	+	755.795i	−0.755982	+	3.49905i
$217$	4.62013	+	32.1337i	0.0212909	+	0.148082i
$218$	425.153	−	368.397i	1.95024	−	1.68989i
$219$	−0.166176	+	1.39543i	−0.000758795	+	0.00637184i
$220$	−32.5576	+	71.2912i	−0.147989	+	0.324051i
$221$	68.1349	−	106.020i	0.308303	−	0.479729i
$222$	156.449	−	76.0898i	0.704727	−	0.342747i
$223$	−214.174	+	137.641i	−0.960421	+	0.617225i	−0.924114	−	0.382116i	$-0.875196\pi$
$223$	−214.174	+	137.641i	−0.960421	+	0.617225i	−0.0363063	+	0.999341i	$0.511559\pi$
$224$	−59.1224	+	91.9962i	−0.263939	+	0.410697i
$225$	−164.953	+	57.2654i	−0.733126	+	0.254513i
$226$	324.655	−	95.3274i	1.43653	−	0.421803i
$227$	−17.0992	+	14.8166i	−0.0753271	+	0.0652713i	−0.691711	−	0.722175i	$-0.743143\pi$
$227$	−17.0992	+	14.8166i	−0.0753271	+	0.0652713i	0.616383	+	0.787446i	$0.288597\pi$
$228$	92.4169	+	190.020i	0.405337	+	0.833421i
$229$	309.657	+	90.9235i	1.35221	+	0.397046i	0.876012	−	0.482290i	$-0.160195\pi$
$229$	309.657	+	90.9235i	1.35221	+	0.397046i	0.476202	+	0.879336i	$0.342013\pi$
$230$			371.375i			1.61467i
$231$	−3.66519	−	5.40980i	−0.0158666	−	0.0234191i
$232$	−1434.95	−	421.340i	−6.18513	−	1.81612i
$233$	152.021	+	236.550i	0.652452	+	1.01523i	0.997070	+	0.0764920i	$0.0243720\pi$
$233$	152.021	+	236.550i	0.652452	+	1.01523i	−0.344618	+	0.938743i	$0.611992\pi$
$234$	−174.658	+	166.851i	−0.746401	+	0.713039i
$235$	10.2703	−	22.4888i	0.0437034	−	0.0956972i
$236$	552.918	+	860.357i	2.34287	+	3.64558i
$237$	291.031	−	93.1841i	1.22798	−	0.393182i
$238$	−53.5303			−0.224917
$239$		−	167.049i		−	0.698950i	−0.936946	−	0.349475i	$-0.886360\pi$
$239$		−	167.049i		−	0.698950i	0.936946	−	0.349475i	$-0.113640\pi$
$240$	−144.624	−	451.688i	−0.602600	−	1.88203i
$241$	−62.2270	+	432.798i	−0.258203	+	1.79584i	0.287412	+	0.957807i	$0.407205\pi$
$241$	−62.2270	+	432.798i	−0.258203	+	1.79584i	−0.545615	+	0.838036i	$0.683704\pi$
$242$	332.559	−	288.164i	1.37421	−	1.19076i
$243$	241.213	−	29.4183i	0.992645	−	0.121063i
$244$	568.277	+	655.826i	2.32900	+	2.68781i
$245$	61.9748	−	96.4346i	0.252958	−	0.393611i
$246$	−67.1300	+	156.968i	−0.272886	+	0.638082i
$247$	−6.07369	+	42.2435i	−0.0245899	+	0.171026i
$248$	−675.379	+	1050.91i	−2.72330	+	4.23754i
$249$	−198.191	+	33.4238i	−0.795949	+	0.134232i
$250$	269.267	−	310.750i	1.07707	−	1.24300i
$251$	−8.43623	+	7.31004i	−0.0336105	+	0.0291237i	−0.671504	−	0.741001i	$-0.734351\pi$
$251$	−8.43623	+	7.31004i	−0.0336105	+	0.0291237i	0.637894	+	0.770125i	$0.279806\pi$
$252$	73.6854	+	17.8022i	0.292403	+	0.0706438i
$253$	−48.7567	+	106.762i	−0.192714	+	0.421985i
$254$	431.289	+	373.714i	1.69799	+	1.47132i
$255$	83.0124	−	100.636i	0.325539	−	0.394652i
$256$	−1135.48	+	333.407i	−4.43546	+	1.30237i
$257$	−1.40484	+	0.201986i	−0.00546632	+	0.000785938i	−0.145047	−	0.989425i	$-0.546333\pi$
$257$	−1.40484	+	0.201986i	−0.00546632	+	0.000785938i	0.139581	+	0.990211i	$0.455424\pi$
$258$	373.423	+	159.700i	1.44737	+	0.618993i
$259$	−4.58099	−	10.0310i	−0.0176872	−	0.0387296i
$260$	51.7363	−	176.198i	0.198986	−	0.677684i
$261$	22.8065	+	469.439i	0.0873812	+	1.79862i
$262$	60.1630	−	418.443i	0.229630	−	1.59711i
$263$	399.462	−	57.4340i	1.51887	−	0.218380i	0.668159	−	0.744019i	$-0.267083\pi$
$263$	399.462	−	57.4340i	1.51887	−	0.218380i	0.850708	+	0.525639i	$0.176174\pi$
$264$	29.7336	−	249.683i	0.112627	−	0.945767i
$265$	−11.0548	−	7.10451i	−0.0417164	−	0.0268095i
$266$	16.4895	−	7.53049i	0.0619905	−	0.0283101i
$267$	−59.2186	−	87.4065i	−0.221793	−	0.327365i
$268$	670.717	−	353.698i	2.50267	−	1.31977i
$269$			416.017i			1.54653i	0.634083	+	0.773265i	$0.281378\pi$
$269$			416.017i			1.54653i	−0.634083	+	0.773265i	$0.718622\pi$
$270$	−199.952	+	150.124i	−0.740562	+	0.556017i
$271$	−13.8002	−	8.86886i	−0.0509233	−	0.0327264i	0.514931	−	0.857231i	$-0.327817\pi$
$271$	−13.8002	−	8.86886i	−0.0509233	−	0.0327264i	−0.565855	+	0.824505i	$0.691454\pi$
$272$	−927.974	−	804.094i	−3.41167	−	2.95623i
$273$	10.3044	+	11.3244i	0.0377449	+	0.0414814i
$274$	67.8372	−	471.818i	0.247581	−	1.72196i
$275$	51.6503	−	23.5879i	0.187819	−	0.0857741i
$276$	−415.192	−	1296.72i	−1.50432	−	4.69827i
$277$	39.2363	+	85.9154i	0.141647	+	0.310164i	0.967138	−	0.254251i	$-0.0818290\pi$
$277$	39.2363	+	85.9154i	0.141647	+	0.310164i	−0.825491	+	0.564415i	$0.809102\pi$
$278$	−41.7406	−	64.9496i	−0.150146	−	0.233632i
$279$	381.606	+	92.1952i	1.36776	+	0.330449i
$280$	−48.3892	+	14.2083i	−0.172818	+	0.0507441i
$281$	−18.9125	−	64.4101i	−0.0673043	−	0.229218i	0.918971	−	0.394324i	$-0.129021\pi$
$281$	−18.9125	−	64.4101i	−0.0673043	−	0.229218i	−0.986276	+	0.165107i	$0.947203\pi$
$282$	−14.5067	+	121.817i	−0.0514423	+	0.431977i
$283$	12.4434	−	27.2472i	0.0439695	−	0.0962798i	−0.886372	−	0.462973i	$-0.846783\pi$
$283$	12.4434	−	27.2472i	0.0439695	−	0.0962798i	0.930342	+	0.366693i	$0.119510\pi$
$284$	−1013.84	+	145.769i	−3.56987	+	0.513270i
$285$	−11.4139	+	42.6779i	−0.0400489	+	0.149747i
$286$	51.4381	−	59.3628i	0.179854	−	0.207562i
$287$	9.84351	+	4.49538i	0.0342979	+	0.0156633i
$288$	768.103	+	1076.50i	2.66702	+	3.73783i
$289$	6.93722	−	48.2494i	0.0240042	−	0.166953i
$290$	−261.455	−	406.831i	−0.901568	−	1.40287i
$291$	344.849	−	8.37187i	1.18505	−	0.0287693i
$292$	3.47168	+	4.00653i	0.0118893	+	0.0137210i
$293$	−64.8030	−	220.699i	−0.221171	−	0.753238i	−0.993073	−	0.117497i	$-0.962513\pi$
$293$	−64.8030	−	220.699i	−0.221171	−	0.753238i	0.771902	−	0.635741i	$-0.219305\pi$
$294$	−146.961	+	549.504i	−0.499868	+	1.86906i
$295$	−30.4301	+	211.646i	−0.103153	+	0.717445i
$296$	119.550	−	407.149i	0.403884	−	1.37550i
$297$	−77.1911	+	16.9065i	−0.259903	+	0.0569241i
$298$	175.947			0.590426
$299$	77.4777	−	263.865i	0.259123	−	0.882491i
$300$	−259.016	+	605.650i	−0.863387	+	2.01883i
$301$	10.6944	−	23.4174i	0.0355295	−	0.0777988i
$302$	385.423	+	176.017i	1.27624	+	0.582838i
$303$	−373.752	−	159.841i	−1.23351	−	0.527529i
$304$	398.971	+	117.148i	1.31240	+	0.385357i
$305$			181.431i			0.594857i
$306$	−240.023	+	601.192i	−0.784388	+	1.96468i
$307$	−165.655	−	48.6406i	−0.539592	−	0.158438i	0.000569641	−	1.00000i	$-0.499819\pi$
$307$	−165.655	−	48.6406i	−0.539592	−	0.158438i	−0.540162	+	0.841561i	$0.681637\pi$
$308$	−24.4002	−	3.50821i	−0.0792213	−	0.0113903i
$309$	−501.424	−	134.102i	−1.62273	−	0.433988i
$310$	−387.590	+	113.807i	−1.25029	+	0.367118i
$311$	148.908	−	129.030i	0.478805	−	0.414887i	−0.381734	−	0.924272i	$-0.624673\pi$
$311$	148.908	−	129.030i	0.478805	−	0.414887i	0.860538	+	0.509386i	$0.170127\pi$
$312$	14.2988	+	588.988i	0.0458295	+	1.88778i
$313$	−219.368	+	140.979i	−0.700855	+	0.450412i	−0.841930	−	0.539587i	$-0.818580\pi$
$313$	−219.368	+	140.979i	−0.700855	+	0.450412i	0.141075	+	0.989999i	$0.454944\pi$
$314$	945.224	+	135.903i	3.01027	+	0.432811i
$315$	9.20551	+	12.9015i	0.0292239	+	0.0409572i
$316$	478.894	−	1048.63i	1.51549	−	3.31845i
$317$	−291.904	−	252.936i	−0.920833	−	0.797906i	0.0588901	−	0.998264i	$-0.481244\pi$
$317$	−291.904	−	252.936i	−0.920833	−	0.797906i	−0.979723	+	0.200359i	$0.935789\pi$
$318$	62.9927	+	16.8470i	0.198090	+	0.0529779i
$319$	−21.7509	−	151.281i	−0.0681846	−	0.474234i
$320$	−662.535	−	302.570i	−2.07042	−	0.945530i
$321$	249.412	+	29.7014i	0.776984	+	0.0925278i
$322$	−112.078	+	32.9090i	−0.348068	+	0.102202i
$323$	32.2232	+	109.742i	0.0997622	+	0.339759i
$324$	530.331	−	747.730i	1.63682	−	2.30781i
$325$	−111.924	+	71.9290i	−0.344380	+	0.221320i
$326$	222.889	−	101.790i	0.683710	−	0.312240i
$327$	−410.680	+	131.494i	−1.25590	+	0.402122i
$328$	172.982	+	378.778i	0.527384	+	1.15481i
$329$	7.69703	+	1.10667i	0.0233952	+	0.00336373i
$330$	60.1388	−	54.7217i	0.182239	−	0.165823i
$331$	300.935	−	347.297i	0.909169	−	1.04924i	−0.0894127	−	0.995995i	$-0.528499\pi$
$331$	300.935	−	347.297i	0.909169	−	1.04924i	0.998582	−	0.0532422i	$-0.0169555\pi$
$332$	−409.928	+	637.860i	−1.23472	+	1.92127i
$333$	−133.197	+	6.47105i	−0.399992	+	0.0194326i
$334$	−280.274			−0.839143
$335$	154.405	+	35.9439i	0.460911	+	0.107295i
$336$	123.500	−	83.6722i	0.367559	−	0.249024i
$337$	165.756	+	362.955i	0.491858	+	1.07702i	0.979031	+	0.203713i	$0.0653011\pi$
$337$	165.756	+	362.955i	0.491858	+	1.07702i	−0.487172	+	0.873306i	$0.661972\pi$
$338$	258.090	−	401.595i	0.763578	−	1.18815i
$339$	−257.545	−	30.6699i	−0.759718	−	0.0904716i
$340$	−70.0386	−	487.129i	−0.205996	−	1.43273i
$341$	−126.365	−	18.1685i	−0.370572	−	0.0532802i
$342$	−10.6375	−	218.957i	−0.0311037	−	0.640226i
$343$	69.5855	+	20.4321i	0.202873	+	0.0595689i
$344$	901.101	−	411.519i	2.61948	−	1.19628i
$345$	111.937	−	261.739i	0.324455	−	0.758664i
$346$	54.2248	+	377.141i	0.156719	+	1.09000i
$347$	−30.3601	−	103.397i	−0.0874932	−	0.297975i	0.904109	−	0.427303i	$-0.140536\pi$
$347$	−30.3601	−	103.397i	−0.0874932	−	0.297975i	−0.991602	+	0.129328i	$0.958718\pi$
$348$	1367.75	+	1128.22i	3.93031	+	3.24202i
$349$	−409.659	+	472.772i	−1.17381	+	1.35465i	−0.251658	+	0.967816i	$0.580976\pi$
$349$	−409.659	+	472.772i	−1.17381	+	1.35465i	−0.922151	+	0.386831i	$0.873570\pi$
$350$	51.4042	+	23.4755i	0.146869	+	0.0670730i
$351$	173.387	−	64.9499i	0.493980	−	0.185042i
$352$	−281.616	−	325.002i	−0.800046	−	0.923303i
$353$	−288.804	−	250.251i	−0.818143	−	0.708925i	0.141564	−	0.989929i	$-0.454787\pi$
$353$	−288.804	−	250.251i	−0.818143	−	0.708925i	−0.959707	+	0.281004i	$0.909333\pi$
$354$	−176.442	−	1046.24i	−0.498422	−	2.95547i
$355$	−180.154	−	115.778i	−0.507475	−	0.326134i
$356$	−394.235	−	56.6824i	−1.10740	−	0.159220i
$357$	37.7272	+	16.1347i	0.105678	+	0.0451951i
$358$	302.766	+	194.576i	0.845715	+	0.543508i
$359$	143.665	−	124.486i	0.400181	−	0.346758i	−0.431402	−	0.902160i	$-0.641981\pi$
$359$	143.665	−	124.486i	0.400181	−	0.346758i	0.831582	+	0.555401i	$0.187435\pi$
$360$	−57.3983	+	607.162i	−0.159440	+	1.68656i
$361$	211.040	+	243.554i	0.584600	+	0.674664i
$362$	−612.766	−	88.1025i	−1.69272	−	0.243377i
$363$	−321.238	+	102.856i	−0.884954	+	0.283350i
$364$	57.7596			0.158680
$365$			1.10839i			0.00303668i
$366$	−274.529	−	857.405i	−0.750079	−	2.34264i
$367$	95.3573	−	61.2824i	0.259829	−	0.166982i	−0.404241	−	0.914653i	$-0.632464\pi$
$367$	95.3573	−	61.2824i	0.259829	−	0.166982i	0.664070	+	0.747671i	$0.268828\pi$
$368$	−2437.26	−	1113.06i	−6.62300	−	3.02462i
$369$	94.6241	−	90.3947i	0.256434	−	0.244972i
$370$	115.433	−	74.1844i	0.311982	−	0.200498i
$371$	1.16447	−	3.96582i	0.00313873	−	0.0106895i
$372$	1226.11	−	830.697i	3.29598	−	2.23306i
$373$	−537.227			−1.44029			−0.720144	−	0.693825i	$-0.755924\pi$
$373$	−537.227			−1.44029			−0.720144	+	0.693825i	$0.755924\pi$
$374$	59.3065	−	201.979i	0.158573	−	0.540051i
$375$	−283.439	+	137.851i	−0.755836	+	0.367604i
$376$	195.952	+	226.141i	0.521149	+	0.601438i
$377$	100.891	+	343.603i	0.267615	+	0.911413i
$378$	−63.0248	−	47.0406i	−0.166732	−	0.124446i
$379$	−96.0640	−	61.7366i	−0.253467	−	0.162893i	0.407737	−	0.913099i	$-0.366318\pi$
$379$	−96.0640	−	61.7366i	−0.253467	−	0.162893i	−0.661204	+	0.750206i	$0.729954\pi$
$380$	90.1027	+	140.203i	0.237112	+	0.368954i
$381$	−191.323	−	393.383i	−0.502161	−	1.03250i
$382$	229.456	+	147.463i	0.600671	+	0.386028i
$383$	449.000	+	205.051i	1.17232	+	0.535382i	0.903827	−	0.427898i	$-0.140746\pi$
$383$	449.000	+	205.051i	1.17232	+	0.535382i	0.268497	+	0.963281i	$0.413473\pi$
$384$	1837.95	+	218.873i	4.78632	+	0.569983i
$385$	−3.37510	−	3.89507i	−0.00876649	−	0.0101171i
$386$	231.965	−	33.3516i	0.600946	−	0.0864030i
$387$	−215.046	−	225.108i	−0.555676	−	0.581675i
$388$	852.178	−	983.466i	2.19633	−	2.53471i
$389$	−15.1614	−	51.6351i	−0.0389754	−	0.132738i	0.937707	−	0.347427i	$-0.112944\pi$
$389$	−15.1614	−	51.6351i	−0.0389754	−	0.132738i	−0.976683	+	0.214689i	$0.931126\pi$
$390$	−121.229	+	146.966i	−0.310843	+	0.376836i
$391$	−104.886	−	729.500i	−0.268251	−	1.86573i
$392$	750.092	+	1167.17i	1.91350	+	2.97746i
$393$	−168.526	+	276.778i	−0.428818	+	0.704269i
$394$	94.7137	+	27.8105i	0.240390	+	0.0705849i
$395$	219.242	−	100.125i	0.555044	−	0.253480i
$396$	−148.807	+	258.305i	−0.375776	+	0.652286i
$397$	7.86461	+	54.6996i	0.0198101	+	0.137782i	0.997326	−	0.0730786i	$-0.0232824\pi$
$397$	7.86461	+	54.6996i	0.0198101	+	0.137782i	−0.977516	+	0.210861i	$0.932373\pi$
$398$	354.636	+	307.294i	0.891044	+	0.772094i
$399$	−13.8913	+	0.337237i	−0.0348152	+	0.000845206i
$400$	538.485	+	1179.12i	1.34621	+	2.94780i
$401$			186.755i			0.465722i	0.972510	+	0.232861i	$0.0748088\pi$
$401$			186.755i			0.465722i	−0.972510	+	0.232861i	$0.925191\pi$
$402$	−784.073	+	63.7719i	−1.95043	+	0.158636i
$403$	299.129			0.742255
$404$	−1394.91	+	637.036i	−3.45276	+	1.57682i
$405$	186.172	−	45.5373i	0.459684	−	0.112438i
$406$	99.6098	−	114.956i	0.245344	−	0.283142i
$407$	42.9240	−	6.17153i	0.105464	−	0.0151635i
$408$	690.575	+	1419.90i	1.69259	+	3.48016i
$409$	22.5721	+	49.4260i	0.0551885	+	0.120846i	0.935217	−	0.354075i	$-0.115204\pi$
$409$	22.5721	+	49.4260i	0.0551885	+	0.120846i	−0.880029	+	0.474921i	$0.842477\pi$
$410$	−37.9357	+	129.197i	−0.0925261	+	0.315115i
$411$	−190.022	+	312.082i	−0.462341	+	0.759325i
$412$	−1647.24	+	1058.62i	−3.99816	+	2.56946i
$413$	−66.5696	+	9.57126i	−0.161185	+	0.0231750i
$414$	−132.945	+	1406.29i	−0.321123	+	3.39685i
$415$	−152.105	+	44.6619i	−0.366517	+	0.107619i
$416$	761.509	+	659.851i	1.83055	+	1.58618i
$417$	9.84146	+	58.3565i	0.0236006	+	0.139944i
$418$	10.1451	+	70.5608i	0.0242706	+	0.168806i
$419$	−236.889	+	205.266i	−0.565368	+	0.489894i	−0.890009	−	0.455943i	$-0.849302\pi$
$419$	−236.889	+	205.266i	−0.565368	+	0.489894i	0.324641	+	0.945837i	$0.394757\pi$
$420$	59.3702	+	7.07014i	0.141358	+	0.0168337i
$421$	96.6636	−	211.664i	0.229605	−	0.502764i	−0.759404	−	0.650619i	$-0.774509\pi$
$421$	96.6636	−	211.664i	0.229605	−	0.502764i	0.989009	+	0.147855i	$0.0472368\pi$
$422$	−30.9232	+	48.1174i	−0.0732777	+	0.114022i
$423$	46.9413	−	81.4824i	0.110972	−	0.192630i
$424$	133.799	−	85.9873i	0.315563	−	0.202800i
$425$	−192.767	+	299.951i	−0.453569	+	0.705767i
$426$	1026.55	+	274.544i	2.40975	+	0.644470i
$427$	−54.7545	+	16.0774i	−0.128231	+	0.0376519i
$428$	716.106	−	620.509i	1.67314	−	1.44979i
$429$	−54.1454	+	26.3338i	−0.126213	+	0.0613842i
$430$	307.356	+	90.2479i	0.714782	+	0.209879i
$431$			46.4647i			0.107807i	0.998546	+	0.0539034i	$0.0171663\pi$
$431$			46.4647i			0.107807i	−0.998546	+	0.0539034i	$0.982834\pi$
$432$	−385.956	−	1762.19i	−0.893416	−	4.07914i
$433$	422.418	+	124.033i	0.975561	+	0.286450i	0.730391	−	0.683030i	$-0.239338\pi$
$433$	422.418	+	124.033i	0.975561	+	0.286450i	0.245170	+	0.969480i	$0.421156\pi$
$434$	−68.6918	−	106.887i	−0.158276	−	0.246282i
$435$	61.6450	+	365.533i	0.141713	+	0.840307i
$436$	−675.776	+	1479.74i	−1.54994	+	3.39390i
$437$	134.933	+	209.960i	0.308772	+	0.480458i
$438$	−1.67713	−	5.23800i	−0.00382907	−	0.0119589i
$439$	−271.165			−0.617688			−0.308844	−	0.951113i	$-0.599942\pi$
$439$	−271.165			−0.617688			−0.308844	+	0.951113i	$0.599942\pi$
$440$		−	198.322i		−	0.450733i
$441$	269.203	−	342.985i	0.610437	−	0.777744i
$442$	−70.1945	+	488.214i	−0.158811	+	1.10456i
$443$	−56.9087	+	49.3116i	−0.128462	+	0.111313i	−0.716722	−	0.697359i	$-0.754358\pi$
$443$	−56.9087	+	49.3116i	−0.128462	+	0.111313i	0.588260	+	0.808672i	$0.299813\pi$
$444$	−320.119	+	388.081i	−0.720988	+	0.874057i
$445$	−54.5316	−	62.9329i	−0.122543	−	0.141422i
$446$	538.692	−	838.221i	1.20783	−	1.87942i
$447$	−124.004	−	53.0325i	−0.277415	−	0.118641i
$448$	32.6031	−	226.759i	0.0727747	−	0.506159i
$449$	−313.825	+	488.321i	−0.698942	+	1.08758i	0.292403	+	0.956295i	$0.405545\pi$
$449$	−313.825	+	488.321i	−0.698942	+	1.08758i	−0.991345	+	0.131280i	$0.958091\pi$
$450$	494.141	−	472.054i	1.09809	−	1.04901i
$451$	−27.8675	+	32.1609i	−0.0617906	+	0.0713101i
$452$	−739.456	+	640.742i	−1.63596	+	1.41757i
$453$	−218.586	−	240.225i	−0.482530	−	0.530298i
$454$	36.7852	−	80.5484i	0.0810247	−	0.177419i
$455$	9.12649	+	7.90814i	0.0200582	+	0.0173805i
$456$	−412.473	−	340.239i	−0.904546	−	0.746138i
$457$	536.809	−	157.621i	1.17464	−	0.344904i	0.364532	−	0.931191i	$-0.381229\pi$
$457$	536.809	−	157.621i	1.17464	−	0.344904i	0.810104	+	0.586286i	$0.199411\pi$
$458$	−1250.22	+	179.755i	−2.72975	+	0.392479i
$459$	350.370	−	351.365i	0.763334	−	0.765500i
$460$	−446.117	−	976.859i	−0.969819	−	2.12361i
$461$	204.249	−	695.607i	0.443056	−	1.50891i	−0.371283	−	0.928520i	$-0.621082\pi$
$461$	204.249	−	695.607i	0.443056	−	1.50891i	0.814339	−	0.580389i	$-0.197100\pi$
$462$	21.8437	+	13.3003i	0.0472807	+	0.0287885i
$463$	61.6149	−	428.541i	0.133078	−	0.925575i	−0.808432	−	0.588589i	$-0.799683\pi$
$463$	61.6149	−	428.541i	0.133078	−	0.925575i	0.941510	−	0.336986i	$-0.109407\pi$
$464$	3453.57	−	496.548i	7.44304	−	1.07015i
$465$	307.470	+	36.6153i	0.661225	+	0.0787425i
$466$	−925.794	−	594.972i	−1.98668	−	1.27676i
$467$	677.849	−	309.563i	1.45150	−	0.662876i	0.475312	−	0.879818i	$-0.342335\pi$
$467$	677.849	−	309.563i	1.45150	−	0.662876i	0.976185	+	0.216941i	$0.0696081\pi$
$468$	258.986	−	648.691i	0.553390	−	1.38609i
$469$	2.83490	+	49.7834i	0.00604457	+	0.106148i
$470$			96.7594i			0.205871i
$471$	−625.215	−	380.684i	−1.32742	−	0.808246i
$472$	−2177.11	−	1399.14i	−4.61252	−	2.96429i
$473$	76.5098	+	66.2961i	0.161754	+	0.140161i
$474$	−884.589	+	804.908i	−1.86622	+	1.69812i
$475$	17.1837	−	119.515i	0.0361761	−	0.251610i
$476$	140.805	−	64.3035i	0.295809	−	0.135091i
$477$	−39.3183	−	30.8602i	−0.0824284	−	0.0646965i
$478$	271.593	+	594.705i	0.568186	+	1.24415i
$479$	340.057	+	529.138i	0.709930	+	1.10467i	0.989498	+	0.144547i	$0.0461725\pi$
$479$	340.057	+	529.138i	0.709930	+	1.10467i	−0.279568	+	0.960126i	$0.590191\pi$
$480$	701.973	+	771.464i	1.46244	+	1.60722i
$481$	−97.4929	+	28.6265i	−0.202688	+	0.0595145i
$482$	−482.123	−	1641.96i	−1.00025	−	3.40655i
$483$	88.9098	+	10.5879i	0.184078	+	0.0219211i
$484$	−528.600	+	1157.47i	−1.09215	+	2.39147i
$485$	269.302	−	38.7198i	0.555262	−	0.0798347i
$486$	−810.903	+	496.901i	−1.66853	+	1.02243i
$487$	395.910	−	456.904i	0.812956	−	0.938202i	−0.186060	−	0.982538i	$-0.559572\pi$
$487$	395.910	−	456.904i	0.812956	−	0.938202i	0.999017	+	0.0443367i	$0.0141174\pi$
$488$	−1997.46	−	912.209i	−4.09316	−	1.86928i
$489$	−187.769	+	4.55846i	−0.383987	+	0.00932200i
$490$	−63.8481	+	444.073i	−0.130302	+	0.906272i
$491$	301.470	+	469.096i	0.613992	+	0.955389i	0.999466	+	0.0326711i	$0.0104014\pi$
$491$	301.470	+	469.096i	0.613992	+	0.955389i	−0.385475	+	0.922718i	$0.625962\pi$
$492$	−11.9813	−	493.526i	−0.0243522	−	1.00310i
$493$	628.481	+	725.306i	1.27481	+	1.47121i
$494$	−47.0578	−	160.264i	−0.0952587	−	0.324421i
$495$	−58.8786	+	20.4404i	−0.118947	+	0.0412937i
$496$	414.768	−	2884.77i	0.836225	−	5.81607i
$497$	18.9766	−	64.6284i	0.0381823	−	0.130037i
$498$	651.233	−	441.216i	1.30770	−	0.885975i
$499$	398.453			0.798502			0.399251	−	0.916842i	$-0.369270\pi$
$499$	398.453			0.798502			0.399251	+	0.916842i	$0.369270\pi$
$500$	−334.984	+	1140.85i	−0.669968	+	2.28170i
$501$	197.532	+	84.4779i	0.394276	+	0.168619i
$502$	18.1487	−	39.7401i	0.0361527	−	0.0791635i
$503$	−467.820	−	213.646i	−0.930059	−	0.424744i	−0.108003	−	0.994151i	$-0.534446\pi$
$503$	−467.820	−	213.646i	−0.930059	−	0.424744i	−0.822056	+	0.569407i	$0.807173\pi$
$504$	−188.323	+	36.4807i	−0.373656	+	0.0723823i
$505$	−307.627	−	90.3276i	−0.609163	−	0.178866i
$506$		−	459.350i		−	0.907807i
$507$	−302.943	+	205.246i	−0.597520	+	0.404825i
$508$	−1583.38	−	464.923i	−3.11689	−	0.915202i
$509$	−346.825	−	49.8659i	−0.681384	−	0.0979683i	−0.207073	−	0.978325i	$-0.566394\pi$
$509$	−346.825	−	49.8659i	−0.681384	−	0.0979683i	−0.474311	+	0.880357i	$0.657303\pi$
$510$	−131.912	+	493.235i	−0.258652	+	0.967127i
$511$	−0.334503	+	0.0982188i	−0.000654604	+	0.000192209i
$512$	1635.19	−	1416.90i	3.19373	−	2.76738i
$513$	−58.4992	+	157.524i	−0.114034	+	0.307063i
$514$	4.67294	−	3.00312i	0.00909133	−	0.00584264i
$515$	−405.218	−	58.2616i	−0.786831	−	0.113129i
$516$	−1174.09	+	28.5032i	−2.27536	+	0.0552387i
$517$	−12.7032	+	27.8162i	−0.0245711	+	0.0538031i
$518$	32.6172	+	28.2630i	0.0629676	+	0.0545618i
$519$	75.4583	−	282.147i	0.145392	−	0.543636i
$520$	66.1318	+	459.957i	0.127176	+	0.884532i
$521$	499.928	+	228.310i	0.959556	+	0.438214i	0.832711	−	0.553708i	$-0.186788\pi$
$521$	499.928	+	228.310i	0.959556	+	0.438214i	0.126845	+	0.991923i	$0.459515\pi$
$522$	−844.419	−	1634.15i	−1.61766	−	3.13056i
$523$	314.338	−	92.2981i	0.601029	−	0.176478i	0.0329570	−	0.999457i	$-0.489508\pi$
$523$	314.338	−	92.2981i	0.601029	−	0.176478i	0.568072	+	0.822979i	$0.307689\pi$
$524$	344.405	+	1172.94i	0.657262	+	2.23843i
$525$	−29.1530	−	32.0390i	−0.0555296	−	0.0610267i
$526$	−1328.73	+	853.924i	−2.52611	+	1.62343i
$527$	729.210	−	333.019i	1.38370	−	0.631914i
$528$	178.884	+	558.688i	0.338795	+	1.05812i
$529$	−448.327	−	981.700i	−0.847500	−	1.85577i
$530$	50.9066	+	7.31927i	0.0960503	+	0.0138099i
$531$	−190.996	+	790.552i	−0.359690	+	1.48880i
$532$	−34.3276	+	39.6161i	−0.0645255	+	0.0744664i
$533$	53.9072	−	83.8812i	0.101139	−	0.157376i
$534$	352.930	+	214.893i	0.660917	+	0.402422i
$535$	198.108			0.370294
$536$	−1172.05	+	1519.20i	−2.18666	+	2.83432i
$537$	−154.737	−	228.391i	−0.288150	−	0.425309i
$538$	−676.371	−	1481.05i	−1.25719	−	2.75287i
$539$	−76.6559	+	119.279i	−0.142219	+	0.221297i
$540$	345.612	−	635.078i	0.640022	−	1.17607i
$541$	27.4182	+	190.698i	0.0506806	+	0.352492i	0.999344	+	0.0362051i	$0.0115270\pi$
$541$	27.4182	+	190.698i	0.0506806	+	0.352492i	−0.948664	+	0.316286i	$0.897564\pi$
$542$	63.5489	+	9.13695i	0.117249	+	0.0168578i
$543$	405.312	+	246.788i	0.746431	+	0.454490i
$544$	2591.00	+	760.786i	4.76287	+	1.39850i
$545$	−309.377	+	141.288i	−0.567664	+	0.259243i
$546$	−55.0958	−	23.5626i	−0.100908	−	0.0431549i
$547$	−83.5786	−	581.302i	−0.152795	−	1.06271i	−0.911507	−	0.411284i	$-0.865080\pi$
$547$	−83.5786	−	581.302i	−0.152795	−	1.06271i	0.758713	−	0.651426i	$-0.225829\pi$
$548$	388.336	+	1322.55i	0.708643	+	2.41342i
$549$	−64.9488	+	687.031i	−0.118304	+	1.25142i
$550$	−145.528	+	167.949i	−0.264597	+	0.305361i
$551$	−295.631	−	135.010i	−0.536536	−	0.245028i
$552$	2318.80	+	2548.35i	4.20072	+	4.61657i
$553$	49.6447	+	57.2931i	0.0897735	+	0.103604i
$554$	−279.367	−	242.073i	−0.504273	−	0.436955i
$555$	−103.715	+	17.4910i	−0.186875	+	0.0315153i
$556$	187.815	+	120.701i	0.337796	+	0.217088i
$557$	478.800	+	68.8410i	0.859604	+	0.123592i	0.558000	−	0.829841i	$-0.311569\pi$
$557$	478.800	+	68.8410i	0.859604	+	0.123592i	0.301604	+	0.953433i	$0.402478\pi$
$558$	−1508.44	+	292.205i	−2.70329	+	0.523665i
$559$	−199.551	−	128.244i	−0.356979	−	0.229416i
$560$	88.9202	−	77.0498i	0.158786	−	0.137589i
$561$	−102.677	+	124.476i	−0.183025	+	0.221882i
$562$	172.049	+	198.556i	0.306138	+	0.353302i
$563$	−525.778	−	75.5955i	−0.933886	−	0.134273i	−0.341459	−	0.939897i	$-0.610921\pi$
$563$	−525.778	−	75.5955i	−0.933886	−	0.134273i	−0.592427	+	0.805624i	$0.701830\pi$
$564$	−108.176	−	337.853i	−0.191801	−	0.599030i
$565$	−204.567			−0.362066
$566$			117.233i			0.207125i
$567$	30.2402	+	52.1499i	0.0533337	+	0.0919751i
$568$	2180.43	−	1401.28i	3.83879	−	2.46704i
$569$	−673.204	−	307.442i	−1.18313	−	0.540320i	−0.275999	−	0.961158i	$-0.589009\pi$
$569$	−673.204	−	307.442i	−1.18313	−	0.540320i	−0.907136	+	0.420838i	$0.861736\pi$
$570$	−28.7526	−	170.493i	−0.0504432	−	0.299111i
$571$	496.897	−	319.336i	0.870222	−	0.559258i	−0.0275988	−	0.999619i	$-0.508786\pi$
$571$	496.897	−	319.336i	0.870222	−	0.559258i	0.897821	+	0.440362i	$0.145150\pi$
$572$	−63.9921	+	217.937i	−0.111874	+	0.381009i
$573$	−117.270	−	173.090i	−0.204660	−	0.302077i
$574$	−42.3522			−0.0737844
$575$	−219.200	+	746.525i	−0.381217	+	1.29830i
$576$	−2400.52	−	1382.92i	−4.16757	−	2.40091i
$577$	−240.496	−	277.548i	−0.416805	−	0.481018i	0.508056	−	0.861324i	$-0.330364\pi$
$577$	−240.496	−	277.548i	−0.416805	−	0.481018i	−0.924861	+	0.380306i	$0.875819\pi$
$578$	53.7483	+	183.050i	0.0929901	+	0.316695i
$579$	−173.538	−	46.4115i	−0.299720	−	0.0801580i
$580$	1176.43	+	756.049i	2.02834	+	1.30353i
$581$	−26.9572	−	41.9462i	−0.0463979	−	0.0721965i
$582$	−1214.07	+	590.469i	−2.08604	+	1.01455i
$583$	13.6736	+	8.78750i	0.0234539	+	0.0150729i
$584$	−12.2028	−	5.57281i	−0.0208951	−	0.00954248i
$585$	129.737	−	67.0395i	0.221773	−	0.114597i
$586$	589.521	+	680.343i	1.00601	+	1.16100i
$587$	549.270	−	78.9731i	0.935724	−	0.134537i	0.342449	−	0.939537i	$-0.388744\pi$
$587$	549.270	−	78.9731i	0.935724	−	0.134537i	0.593275	+	0.805000i	$0.297835\pi$
$588$	−273.531	−	1621.94i	−0.465189	−	2.75841i
$589$	−177.778	+	205.166i	−0.301830	+	0.348330i
$590$	−235.767	−	802.948i	−0.399605	−	1.36093i
$591$	−58.3702	−	48.1482i	−0.0987652	−	0.0814690i
$592$	140.889	+	979.907i	0.237989	+	1.65525i
$593$	32.7843	+	51.0134i	0.0552855	+	0.0860260i	0.867796	−	0.496921i	$-0.165536\pi$
$593$	32.7843	+	51.0134i	0.0552855	+	0.0860260i	−0.812510	+	0.582947i	$0.801900\pi$
$594$	247.318	−	185.687i	0.416361	−	0.312605i
$595$	31.0525	+	9.11783i	0.0521890	+	0.0153241i
$596$	−462.808	+	211.357i	−0.776523	+	0.354626i
$597$	−157.319	−	323.467i	−0.263516	−	0.541820i
$598$	153.173	+	1065.34i	0.256142	+	1.78151i
$599$	−501.294	−	434.374i	−0.836885	−	0.725165i	0.126880	−	0.991918i	$-0.459504\pi$
$599$	−501.294	−	434.374i	−0.836885	−	0.725165i	−0.963765	+	0.266753i	$0.914049\pi$
$600$	−40.4541	−	1666.36i	−0.0674234	−	2.77727i
$601$	98.8449	+	216.440i	0.164467	+	0.360133i	0.973865	−	0.227128i	$-0.0729335\pi$
$601$	98.8449	+	216.440i	0.164467	+	0.360133i	−0.809398	+	0.587261i	$0.800206\pi$
$602$			100.755i			0.167367i
$603$	571.823	+	191.384i	0.948297	+	0.317386i
$604$	−1225.25			−2.02856
$605$	−241.998	+	110.517i	−0.399997	+	0.182673i
$606$	1590.46	−	38.6113i	2.62451	−	0.0637151i
$607$	−195.121	+	225.182i	−0.321451	+	0.370975i	−0.893359	−	0.449343i	$-0.851658\pi$
$607$	−195.121	+	225.182i	−0.321451	+	0.370975i	0.571908	+	0.820318i	$0.306203\pi$
$608$	−905.157	+	130.142i	−1.48875	+	0.214049i
$609$	−104.852	+	50.9953i	−0.172171	+	0.0837362i
$610$	−294.976	−	645.908i	−0.483567	−	1.05886i
$611$	20.1863	−	68.7483i	0.0330382	−	0.112518i
$612$	−90.8343	−	1869.70i	−0.148422	−	3.05506i
$613$	−310.669	+	199.655i	−0.506801	+	0.325701i	−0.768932	−	0.639331i	$-0.779211\pi$
$613$	−310.669	+	199.655i	−0.506801	+	0.325701i	0.262130	+	0.965032i	$0.415575\pi$
$614$	668.822	−	96.1622i	1.08929	−	0.156616i
$615$	65.6780	−	79.6216i	0.106793	−	0.129466i
$616$	59.8521	−	17.5741i	0.0971624	−	0.0285295i
$617$	902.232	+	781.788i	1.46229	+	1.26708i	0.896884	+	0.442266i	$0.145825\pi$
$617$	902.232	+	781.788i	1.46229	+	1.26708i	0.565404	+	0.824814i	$0.308720\pi$
$618$	2003.13	−	337.815i	3.24131	−	0.546626i
$619$	20.1997	+	140.492i	0.0326328	+	0.226966i	0.999611	−	0.0278933i	$-0.00887985\pi$
$619$	20.1997	+	140.492i	0.0326328	+	0.226966i	−0.966978	+	0.254860i	$0.917971\pi$
$620$	882.800	−	764.950i	1.42387	−	1.23379i
$621$	517.571	−	951.061i	0.833448	−	1.53150i
$622$	−320.343	+	701.453i	−0.515021	+	1.12774i
$623$	14.1603	−	22.0339i	0.0227293	−	0.0353675i
$624$	−601.172	−	1236.08i	−0.963416	−	1.98090i
$625$	198.904	−	127.828i	0.318246	−	0.204524i
$626$	551.755	−	858.548i	0.881398	−	1.37148i
$627$	14.1178	−	52.7879i	0.0225164	−	0.0841913i
$628$	−2649.56	+	777.980i	−4.21904	+	1.23882i
$629$	−205.796	+	178.324i	−0.327180	+	0.283503i
$630$	−53.7479	−	30.9637i	−0.0853141	−	0.0491487i
$631$	−444.633	−	130.556i	−0.704648	−	0.206903i	−0.0902724	−	0.995917i	$-0.528774\pi$
$631$	−444.633	−	130.556i	−0.704648	−	0.206903i	−0.614375	+	0.789014i	$0.710592\pi$
$632$			2917.15i			4.61574i
$633$	36.2973	−	24.5917i	0.0573417	−	0.0388495i
$634$	1450.43	+	425.884i	2.28774	+	0.671741i
$635$	−186.532	−	290.250i	−0.293752	−	0.457087i
$636$	−185.933	+	31.3564i	−0.292347	+	0.0493025i
$637$	138.009	−	302.197i	0.216655	−	0.474407i
$638$	323.391	+	503.206i	0.506882	+	0.788723i
$639$	−640.746	−	502.909i	−1.00273	−	0.787025i
$640$	1459.88			2.28106
$641$			517.113i			0.806729i	0.915039	+	0.403365i	$0.132159\pi$
$641$			517.113i			0.806729i	−0.915039	+	0.403365i	$0.867841\pi$
$642$	−936.212	+	299.762i	−1.45827	+	0.466919i
$643$	72.8576	−	506.736i	0.113309	−	0.788081i	−0.851354	−	0.524592i	$-0.824218\pi$
$643$	72.8576	−	506.736i	0.113309	−	0.788081i	0.964663	−	0.263489i	$-0.0848731\pi$
$644$	255.276	−	221.198i	0.396391	−	0.343475i
$645$	−189.418	−	156.246i	−0.293671	−	0.242242i
$646$	−293.138	−	338.299i	−0.453774	−	0.523683i
$647$	−3.37704	+	5.25478i	−0.00521954	+	0.00812176i	−0.843853	−	0.536574i	$-0.819718\pi$
$647$	−3.37704	+	5.25478i	−0.00521954	+	0.00812176i	0.838634	+	0.544695i	$0.183355\pi$
$648$	−434.703	+	2278.61i	−0.670838	+	3.51637i
$649$	37.6387	−	261.783i	0.0579950	−	0.403364i
$650$	281.511	−	438.040i	0.433094	−	0.673908i
$651$	16.1959	+	96.0364i	0.0248786	+	0.147521i
$652$	−464.008	+	535.494i	−0.711669	+	0.821310i
$653$	762.724	−	660.904i	1.16803	−	1.01210i	0.168378	−	0.985722i	$-0.446147\pi$
$653$	762.724	−	660.904i	1.16803	−	1.01210i	0.999652	−	0.0263817i	$-0.00839853\pi$
$654$	1248.26	−	1135.82i	1.90865	−	1.73673i
$655$	−106.174	+	232.488i	−0.162097	+	0.354943i
$656$	−734.197	−	636.185i	−1.11920	−	0.969795i
$657$	−0.396781	+	4.19716i	−0.000603928	+	0.00638837i
$658$	−29.2012	+	8.57424i	−0.0443787	+	0.0130308i
$659$	−504.671	+	72.5608i	−0.765814	+	0.110107i	−0.514142	−	0.857705i	$-0.671890\pi$
$659$	−504.671	+	72.5608i	−0.765814	+	0.110107i	−0.251672	+	0.967813i	$0.580980\pi$
$660$	−92.4534	+	216.181i	−0.140081	+	0.327547i
$661$	10.2590	+	22.4640i	0.0155204	+	0.0339849i	0.917233	−	0.398350i	$-0.130417\pi$
$661$	10.2590	+	22.4640i	0.0155204	+	0.0339849i	−0.901713	+	0.432335i	$0.857690\pi$
$662$	−506.702	+	1725.67i	−0.765411	+	2.60675i
$663$	196.625	−	322.927i	0.296569	−	0.487070i
$664$	273.055	−	1899.14i	0.411227	−	2.86015i
$665$	−10.8481	+	1.55972i	−0.0163129	+	0.00234544i
$666$	463.670	−	239.593i	0.696201	−	0.359749i
$667$	1761.77	+	1132.22i	2.64133	+	1.69748i
$668$	737.228	−	336.681i	1.10363	−	0.504013i
$669$	−632.311	+	428.396i	−0.945158	+	0.640352i
$670$	−608.131	+	123.074i	−0.907659	+	0.183692i
$671$		−	224.411i		−	0.334442i
$672$	−170.617	+	280.212i	−0.253894	+	0.416982i
$673$	186.586	+	119.911i	0.277245	+	0.178175i	0.671873	−	0.740666i	$-0.265490\pi$
$673$	186.586	+	119.911i	0.277245	+	0.178175i	−0.394628	+	0.918841i	$0.629126\pi$
$674$	−1180.21	−	1022.65i	−1.75105	−	1.51729i
$675$	−490.545	+	183.756i	−0.726733	+	0.272231i
$676$	−196.456	+	1366.38i	−0.290615	+	2.02127i
$677$	690.775	−	315.466i	1.02035	−	0.465977i	0.166246	−	0.986084i	$-0.446835\pi$
$677$	690.775	−	315.466i	1.02035	−	0.465977i	0.854101	+	0.520108i	$0.174108\pi$
$678$	966.739	−	309.536i	1.42587	−	0.456543i
$679$	35.5493	+	77.8420i	0.0523553	+	0.114642i
$680$	673.283	+	1047.65i	0.990122	+	1.54066i
$681$	−50.2038	+	45.6816i	−0.0737208	+	0.0670802i
$682$	479.406	−	140.766i	0.702942	−	0.206402i
$683$	341.407	+	1162.73i	0.499864	+	1.70238i	0.692765	+	0.721164i	$0.256392\pi$
$683$	341.407	+	1162.73i	0.499864	+	1.70238i	−0.192900	+	0.981218i	$0.561789\pi$
$684$	291.004	+	563.163i	0.425445	+	0.823338i
$685$	−119.717	+	262.143i	−0.174769	+	0.382691i
$686$	−280.948	+	40.3942i	−0.409545	+	0.0588837i
$687$	935.318	+	250.144i	1.36145	+	0.364111i
$688$	−1513.47	+	1746.63i	−2.19981	+	2.53871i
$689$	−34.6426	−	15.8207i	−0.0502795	−	0.0229619i
$690$	27.0395	+	1113.80i	0.0391877	+	1.61420i
$691$	−187.791	+	1306.12i	−0.271767	+	1.89018i	0.158309	+	0.987390i	$0.449396\pi$
$691$	−187.791	+	1306.12i	−0.271767	+	1.89018i	−0.430076	+	0.902793i	$0.641513\pi$
$692$	−595.675	−	926.889i	−0.860802	−	1.33943i
$693$	−11.3862	−	15.9578i	−0.0164303	−	0.0230271i
$694$	276.190	+	318.740i	0.397968	+	0.459280i
$695$	13.1505	+	44.7864i	0.0189215	+	0.0644409i
$696$	−4334.26	−	1159.17i	−6.22739	−	1.66547i
$697$	38.0292	−	264.499i	0.0545612	−	0.379482i
$698$	689.768	−	2349.13i	0.988206	−	3.36552i
$699$	473.152	+	698.372i	0.676899	+	0.999101i
$700$	−163.413			−0.233447
$701$	70.5718	−	240.346i	0.100673	−	0.342861i	−0.893718	−	0.448630i	$-0.851912\pi$
$701$	70.5718	−	240.346i	0.100673	−	0.342861i	0.994391	+	0.105769i	$0.0337303\pi$
$702$	−511.671	+	513.123i	−0.728876	+	0.730944i
$703$	38.3075	−	83.8817i	0.0544914	−	0.119320i
$704$	819.483	+	374.245i	1.16404	+	0.531598i
$705$	29.1644	−	68.1944i	0.0413680	−	0.0967297i
$706$	1435.03	+	421.362i	2.03262	+	0.596830i
$707$		−	100.844i		−	0.142636i
$708$	1720.91	+	2540.05i	2.43066	+	3.58765i
$709$	741.664	+	217.772i	1.04607	+	0.307154i	0.759229	−	0.650824i	$-0.225576\pi$
$709$	741.664	+	217.772i	1.04607	+	0.307154i	0.286842	+	0.957978i	$0.407395\pi$
$710$	829.593	+	119.277i	1.16844	+	0.167996i
$711$	866.053	−	300.660i	1.21808	−	0.422869i
$712$	967.033	−	283.946i	1.35819	−	0.398801i
$713$	1322.04	−	1145.55i	1.85419	−	1.60666i
$714$	−160.543	+	3.89750i	−0.224851	+	0.00545868i
$715$	−39.9501	+	25.6744i	−0.0558743	+	0.0359082i
$716$	−1030.13	−	148.110i	−1.43872	−	0.206857i
$717$	−12.1627	−	501.000i	−0.0169633	−	0.698744i
$718$	−309.063	+	676.753i	−0.430450	+	0.942553i
$719$	−206.279	−	178.742i	−0.286897	−	0.248597i	0.499508	−	0.866309i	$-0.333514\pi$
$719$	−206.279	−	178.742i	−0.286897	−	0.248597i	−0.786404	+	0.617712i	$0.788060\pi$
$720$	−466.631	−	1344.13i	−0.648099	−	1.86685i
$721$	−18.3251	−	127.454i	−0.0254163	−	0.176774i
$722$	−1147.29	−	523.951i	−1.58905	−	0.725695i
$723$	−155.114	+	1302.54i	−0.214543	+	1.80158i
$724$	1717.64	−	504.346i	2.37244	−	0.696610i
$725$	−285.440	−	972.118i	−0.393710	−	1.34085i
$726$	976.403	−	888.452i	1.34491	−	1.22376i
$727$	72.4576	−	46.5657i	0.0996666	−	0.0640518i	−0.489858	−	0.871802i	$-0.662951\pi$
$727$	72.4576	−	46.5657i	0.0996666	−	0.0640518i	0.589525	+	0.807750i	$0.299315\pi$
$728$	−132.951	+	60.7166i	−0.182625	+	0.0834019i
$729$	721.283	−	105.791i	0.989414	−	0.145119i
$730$	−1.80205	−	3.94594i	−0.00246856	−	0.00540539i
$731$	−629.235	−	90.4703i	−0.860787	−	0.123762i
$732$	1752.08	+	1925.52i	2.39355	+	2.63050i
$733$	−199.678	+	230.441i	−0.272412	+	0.314380i	−0.875428	−	0.483349i	$-0.839420\pi$
$733$	−199.678	+	230.441i	−0.272412	+	0.314380i	0.603016	+	0.797729i	$0.293966\pi$
$734$	−239.843	+	373.204i	−0.326762	+	0.508452i
$735$	178.848	−	293.731i	0.243331	−	0.399634i
$736$	5892.57			8.00620
$737$	−190.982	−	44.4587i	−0.259135	−	0.0603238i
$738$	−189.902	+	475.653i	−0.257320	+	0.644516i
$739$	−429.295	−	940.025i	−0.580914	−	1.27202i	−0.940779	−	0.339019i	$-0.889905\pi$
$739$	−429.295	−	940.025i	−0.580914	−	1.27202i	0.359866	−	0.933004i	$-0.382823\pi$
$740$	−214.519	+	333.798i	−0.289891	+	0.451079i
$741$	−15.1400	+	127.135i	−0.0204318	+	0.171573i
$742$	2.30215	+	16.0118i	0.00310262	+	0.0215792i
$743$	−1368.59	−	196.774i	−1.84198	−	0.264837i	−0.868848	−	0.495079i	$-0.835139\pi$
$743$	−1368.59	−	196.774i	−1.84198	−	0.264837i	−0.973134	+	0.230242i	$0.926048\pi$
$744$	−1949.02	+	3200.97i	−2.61966	+	4.30239i
$745$	−102.065	−	29.9691i	−0.137000	−	0.0402270i
$746$	1912.56	−	873.438i	2.56376	−	1.17083i
$747$	−591.966	+	114.672i	−0.792457	+	0.153510i
$748$	86.6300	+	602.525i	0.115816	+	0.805515i
$749$	17.5551	+	59.7872i	0.0234381	+	0.0798227i
$750$	784.937	−	951.582i	1.04658	−	1.26878i
$751$	287.463	−	331.750i	0.382773	−	0.441744i	−0.531367	−	0.847142i	$-0.678321\pi$
$751$	287.463	−	331.750i	0.382773	−	0.441744i	0.914140	+	0.405398i	$0.132867\pi$
$752$	−635.013	−	290.001i	−0.844433	−	0.385639i
$753$	−24.7690	+	22.5379i	−0.0328938	+	0.0299308i
$754$	−917.816	−	1059.22i	−1.21726	−	1.40480i
$755$	−193.600	−	167.755i	−0.256424	−	0.222192i
$756$	222.287	+	48.0260i	0.294031	+	0.0635264i
$757$	179.447	+	115.323i	0.237050	+	0.152343i	0.653773	−	0.756691i	$-0.273185\pi$
$757$	179.447	+	115.323i	0.237050	+	0.152343i	−0.416723	+	0.909034i	$0.636821\pi$
$758$	442.367	+	63.6028i	0.583598	+	0.0839087i
$759$	−138.454	+	323.742i	−0.182416	+	0.426538i
$760$	−354.778	−	228.002i	−0.466814	−	0.300003i
$761$	−321.142	+	278.271i	−0.422000	+	0.365665i	−0.839820	−	0.542865i	$-0.817340\pi$
$761$	−321.142	+	278.271i	−0.422000	+	0.365665i	0.417820	+	0.908530i	$0.362794\pi$
$762$	1320.70	+	1089.41i	1.73320	+	1.42967i
$763$	−70.0546	−	80.8473i	−0.0918146	−	0.105960i
$764$	−780.699	−	112.248i	−1.02186	−	0.146921i
$765$	241.637	−	307.864i	0.315865	−	0.402436i
$766$	−1931.85			−2.52199
$767$			619.688i			0.807937i
$768$	−3381.16	+	1082.60i	−4.40255	+	1.40963i
$769$	−346.515	+	222.692i	−0.450605	+	0.289586i	−0.746194	−	0.665729i	$-0.768121\pi$
$769$	−346.515	+	222.692i	−0.450605	+	0.289586i	0.295588	+	0.955315i	$0.404484\pi$
$770$	18.3483	+	8.37938i	0.0238289	+	0.0108823i
$771$	−4.19859	+	0.708066i	−0.00544564	+	0.000918373i
$772$	−570.094	+	366.377i	−0.738464	+	0.474582i
$773$	236.008	−	803.770i	0.305314	−	1.03981i	−0.653772	−	0.756692i	$-0.726814\pi$
$773$	236.008	−	803.770i	0.305314	−	1.03981i	0.959086	−	0.283114i	$-0.0913674\pi$
$774$	1131.57	+	451.771i	1.46197	+	0.583684i
$775$	−846.293			−1.09199
$776$	−927.726	+	3159.54i	−1.19552	+	4.07158i
$777$	−14.4693	−	29.7505i	−0.0186220	−	0.0382889i
$778$	137.925	+	159.174i	0.177282	+	0.204594i
$779$	25.4944	+	86.8261i	0.0327271	+	0.111458i
$780$	142.334	−	532.204i	0.182480	−	0.682313i
$781$	222.830	+	143.204i	0.285314	+	0.183360i
$782$	1559.44	+	2426.54i	1.99417	+	3.10299i
$783$	102.579	+	1406.24i	0.131007	+	1.79597i
$784$	−2723.01	−	1749.97i	−3.47322	−	2.23210i
$785$	−525.169	−	239.836i	−0.669005	−	0.305524i
$786$	149.969	−	1259.34i	0.190801	−	1.60221i
$787$	545.871	+	629.968i	0.693610	+	0.800468i	0.987874	−	0.155256i	$-0.0496202\pi$
$787$	545.871	+	629.968i	0.693610	+	0.800468i	−0.294265	+	0.955724i	$0.595075\pi$
$788$	−282.541	+	40.6233i	−0.358554	+	0.0515524i
$789$	1193.85	−	201.336i	1.51312	−	0.255178i
$790$	−617.732	+	712.900i	−0.781939	+	0.902405i
$791$	−18.1275	−	61.7367i	−0.0229172	−	0.0780489i
$792$	70.9954	−	750.992i	0.0896407	−	0.948222i
$793$	74.8311	+	520.461i	0.0943645	+	0.656320i
$794$	−116.931	−	181.948i	−0.147268	−	0.229153i
$795$	−33.6720	−	20.5024i	−0.0423547	−	0.0257891i
$796$	−1301.97	−	382.292i	−1.63564	−	0.480266i
$797$	−846.635	+	386.645i	−1.06228	+	0.485126i	−0.868382	−	0.495896i	$-0.834840\pi$
$797$	−846.635	+	386.645i	−1.06228	+	0.485126i	−0.193896	+	0.981022i	$0.562112\pi$
$798$	48.9056	−	23.7854i	0.0612852	−	0.0298063i
$799$	−27.3275	−	190.067i	−0.0342021	−	0.237881i
$800$	−2154.46	−	1866.85i	−2.69307	−	2.33356i
$801$	−183.968	−	257.831i	−0.229672	−	0.321886i
$802$	−303.631	−	664.859i	−0.378592	−	0.829001i
$803$		−	1.37096i		−	0.00170729i
$804$	1985.81	−	1109.62i	2.46991	−	1.38012i
$805$	70.6209			0.0877278
$806$	−1064.92	+	486.331i	−1.32124	+	0.603389i
$807$	30.2899	+	1247.68i	0.0375339	+	1.54607i
$808$	2541.16	−	2932.65i	3.14500	−	3.62952i
$809$	1142.73	−	164.300i	1.41252	−	0.203090i	0.606549	−	0.795046i	$-0.292553\pi$
$809$	1142.73	−	164.300i	1.41252	−	0.203090i	0.805970	+	0.591956i	$0.201644\pi$
$810$	−588.748	+	464.799i	−0.726850	+	0.573826i
$811$	−76.0618	−	166.552i	−0.0937877	−	0.205366i	0.856924	−	0.515443i	$-0.172373\pi$
$811$	−76.0618	−	166.552i	−0.0937877	−	0.205366i	−0.950712	+	0.310077i	$0.899645\pi$
$812$	−123.921	+	422.035i	−0.152611	+	0.519747i
$813$	−42.0342	−	25.5940i	−0.0517026	−	0.0314809i
$814$	−142.778	+	91.7580i	−0.175403	+	0.112725i
$815$	−146.634	+	21.0828i	−0.179919	+	0.0258685i
$816$	−2841.65	−	2344.01i	−3.48241	−	2.87256i
$817$	206.557	−	60.6505i	0.252824	−	0.0742357i
$818$	−160.716	−	139.261i	−0.196475	−	0.170246i
$819$	31.7285	+	33.2130i	0.0387405	+	0.0405532i
$820$	−55.4133	−	385.408i	−0.0675772	−	0.470010i
$821$	77.6592	−	67.2920i	0.0945909	−	0.0819635i	−0.606282	−	0.795250i	$-0.707340\pi$
$821$	77.6592	−	67.2920i	0.0945909	−	0.0819635i	0.700873	+	0.713286i	$0.252794\pi$
$822$	169.099	−	1419.98i	0.205716	−	1.72746i
$823$	466.946	−	1022.47i	0.567370	−	1.24237i	−0.380815	−	0.924651i	$-0.624357\pi$
$823$	466.946	−	1022.47i	0.567370	−	1.24237i	0.948186	−	0.317717i	$-0.102916\pi$
$824$	2678.80	−	4168.30i	3.25097	−	5.05861i
$825$	153.188	−	74.5034i	0.185682	−	0.0903072i
$826$	221.431	−	142.305i	0.268076	−	0.172282i
$827$	−192.680	+	299.816i	−0.232987	+	0.362534i	−0.937986	−	0.346674i	$-0.887311\pi$
$827$	−192.680	+	299.816i	−0.232987	+	0.362534i	0.704999	+	0.709208i	$0.250947\pi$
$828$	−1339.62	−	3858.79i	−1.61790	−	4.66038i
$829$	1258.64	−	369.570i	1.51826	−	0.445802i	0.586828	−	0.809712i	$-0.300377\pi$
$829$	1258.64	−	369.570i	1.51826	−	0.445802i	0.931434	+	0.363910i	$0.118558\pi$
$830$	468.889	−	406.295i	0.564927	−	0.489512i
$831$	123.930	+	254.814i	0.149133	+	0.306635i
$832$	−2025.37	−	594.702i	−2.43434	−	0.714786i
$833$		−	890.336i		−	1.06883i
$834$	−129.914	−	191.752i	−0.155772	−	0.229919i
$835$	162.585	+	47.7391i	0.194712	+	0.0571726i
$836$	−111.447	−	173.415i	−0.133310	−	0.207434i
$837$	1151.19	+	248.720i	1.37538	+	0.297156i
$838$	509.615	−	1115.90i	0.608132	−	1.33162i
$839$	−477.997	−	743.778i	−0.569723	−	0.886506i	0.430145	−	0.902760i	$-0.358462\pi$
$839$	−477.997	−	743.778i	−0.569723	−	0.886506i	−0.999868	+	0.0162539i	$0.994826\pi$
$840$	−144.090	+	46.1356i	−0.171536	+	0.0549234i
$841$	−1886.07			−2.24266
$842$			910.695i			1.08159i
$843$	−61.4105	−	191.796i	−0.0728476	−	0.227517i
$844$	23.5385	−	163.714i	0.0278892	−	0.193974i
$845$	−218.119	+	189.002i	−0.258130	+	0.223671i
$846$	−34.6379	+	366.401i	−0.0409432	+	0.433098i
$847$	−54.7975	−	63.2397i	−0.0646960	−	0.0746631i
$848$	−200.609	+	312.154i	−0.236567	+	0.368106i
$849$	35.3353	−	82.6235i	0.0416199	−	0.0973186i
$850$	198.594	−	1381.25i	0.233640	−	1.62500i
$851$	−321.253	+	499.880i	−0.377501	+	0.587403i
$852$	−3030.02	+	510.995i	−3.55637	+	0.599759i
$853$	−577.043	+	665.944i	−0.676487	+	0.780708i	−0.985377	−	0.170390i	$-0.945497\pi$
$853$	−577.043	+	665.944i	−0.676487	+	0.780708i	0.308890	+	0.951098i	$0.400043\pi$
$854$	168.790	−	146.258i	0.197647	−	0.171262i
$855$	−31.1243	+	128.827i	−0.0364027	+	0.150675i
$856$	−996.054	+	2181.05i	−1.16361	+	2.54796i
$857$	−903.991	−	783.313i	−1.05483	−	0.914018i	−0.0583901	−	0.998294i	$-0.518597\pi$
$857$	−903.991	−	783.313i	−1.05483	−	0.914018i	−0.996442	+	0.0842763i	$0.973142\pi$
$858$	149.947	−	181.781i	0.174763	−	0.211866i
$859$	−254.948	+	74.8596i	−0.296797	+	0.0871474i	−0.426741	−	0.904374i	$-0.640338\pi$
$859$	−254.948	+	74.8596i	−0.296797	+	0.0871474i	0.129944	+	0.991521i	$0.458520\pi$
$860$	−916.876	+	131.827i	−1.06613	+	0.153287i
$861$	29.8491	+	12.7655i	0.0346680	+	0.0148263i
$862$	−75.5436	−	165.417i	−0.0876376	−	0.191900i
$863$	−138.747	+	472.530i	−0.160773	+	0.547543i	0.839220	+	0.543792i	$0.183012\pi$
$863$	−138.747	+	472.530i	−0.160773	+	0.547543i	−0.999993	+	0.00375070i	$0.998806\pi$
$864$	2382.01	+	3172.61i	2.75695	+	3.67200i
$865$	32.7833	−	228.013i	0.0378998	−	0.263599i
$866$	−1705.49	+	245.213i	−1.96939	+	0.283155i
$867$	17.2925	−	145.211i	0.0199452	−	0.167486i
$868$	309.084	+	198.636i	0.356088	+	0.228844i
$869$	−271.179	+	123.843i	−0.312058	+	0.142512i
$870$	−813.754	−	1201.10i	−0.935349	−	1.38057i
$871$	457.758	+	39.4259i	0.525555	+	0.0452652i
$872$		−	4116.44i		−	4.72069i
$873$	1033.63	−	50.2164i	1.18400	−	0.0575217i
$874$	−821.730	−	528.094i	−0.940195	−	0.604226i
$875$	−59.0925	−	51.2039i	−0.0675343	−	0.0585188i
$876$	10.7037	+	11.7633i	0.0122188	+	0.0134284i
$877$	174.632	−	1214.59i	0.199124	−	1.38494i	−0.607709	−	0.794160i	$-0.707911\pi$
$877$	174.632	−	1214.59i	0.199124	−	1.38494i	0.806833	−	0.590779i	$-0.201180\pi$
$878$	965.364	−	440.867i	1.09950	−	0.502126i
$879$	−210.421	−	657.183i	−0.239386	−	0.747649i
$880$	192.207	+	420.876i	0.218418	+	0.478268i
$881$	411.770	+	640.727i	0.467390	+	0.727273i	0.992296	−	0.123887i	$-0.0395361\pi$
$881$	411.770	+	640.727i	0.467390	+	0.727273i	−0.524907	+	0.851160i	$0.675900\pi$
$882$	−400.744	+	1658.73i	−0.454359	+	1.88064i
$883$	−541.532	+	159.008i	−0.613287	+	0.180077i	−0.573601	−	0.819135i	$-0.694454\pi$
$883$	−541.532	+	159.008i	−0.613287	+	0.180077i	−0.0396860	+	0.999212i	$0.512636\pi$
$884$	−401.831	−	1368.51i	−0.454560	−	1.54809i
$885$	−75.8537	+	636.967i	−0.0857104	+	0.719737i
$886$	122.426	−	268.076i	0.138179	−	0.302569i
$887$	359.891	−	51.7445i	0.405739	−	0.0583365i	0.0635760	−	0.997977i	$-0.479749\pi$
$887$	359.891	−	51.7445i	0.405739	−	0.0583365i	0.342163	+	0.939640i	$0.388840\pi$
$888$	328.899	−	1229.79i	0.370382	−	1.38490i
$889$	71.0657	−	82.0141i	0.0799389	−	0.0922544i
$890$	296.454	+	135.386i	0.333094	+	0.152119i
$891$	−230.274	+	56.3247i	−0.258445	+	0.0632151i
$892$	−410.048	+	2851.95i	−0.459695	+	3.19725i
$893$	35.1560	+	54.7038i	0.0393684	+	0.0612585i
$894$	527.685	−	12.8106i	0.590252	−	0.0143295i
$895$	−142.490	−	164.442i	−0.159207	−	0.183734i
$896$	129.366	+	440.579i	0.144381	+	0.491718i
$897$	213.153	−	797.003i	0.237629	−	0.888520i
$898$	323.311	−	2248.68i	0.360035	−	2.50410i
$899$	−641.767	+	2185.66i	−0.713867	+	2.43121i
$900$	−732.722	+	1835.27i	−0.814136	+	2.03919i
$901$	−102.064			−0.113279
$902$	46.9223	−	159.803i	0.0520202	−	0.177165i
$903$	30.3687	−	71.0103i	0.0336309	−	0.0786382i
$904$	1028.53	−	2252.17i	1.13776	−	2.49134i
$905$	340.454	+	155.480i	0.376193	+	0.171801i
$906$	1168.75	+	499.833i	1.29001	+	0.551692i
$907$	1717.07	+	504.177i	1.89313	+	0.555873i	0.992658	+	0.120956i	$0.0385959\pi$
$907$	1717.07	+	504.177i	1.89313	+	0.555873i	0.900471	+	0.434917i	$0.143222\pi$
$908$			256.062i			0.282006i
$909$	−1132.56	−	452.170i	−1.24595	−	0.497436i
$910$	−45.3481	−	13.3154i	−0.0498331	−	0.0146323i
$911$	502.771	+	72.2876i	0.551889	+	0.0793497i	0.412617	−	0.910904i	$-0.364615\pi$
$911$	502.771	+	72.2876i	0.551889	+	0.0793497i	0.139272	+	0.990254i	$0.455524\pi$
$912$	1205.09	+	322.293i	1.32137	+	0.353391i
$913$	188.137	−	55.2419i	0.206064	−	0.0605059i
$914$	−1654.81	+	1433.90i	−1.81051	+	1.56882i
$915$	13.2099	+	544.134i	0.0144370	+	0.594682i
$916$	3072.64	−	1974.66i	3.35441	−	2.15575i
$917$	−79.5713	−	11.4406i	−0.0867735	−	0.0124761i
$918$	−676.083	+	1820.52i	−0.736474	+	1.98314i
$919$	−156.186	+	341.999i	−0.169952	+	0.372142i	−0.975373	−	0.220560i	$-0.929212\pi$
$919$	−156.186	+	341.999i	−0.169952	+	0.372142i	0.805422	+	0.592702i	$0.201939\pi$
$920$	2053.74	+	1779.58i	2.23233	+	1.93432i
$921$	−500.359	−	133.818i	−0.543278	−	0.145296i
$922$	403.798	+	2808.48i	0.437959	+	3.04607i
$923$	−564.548	−	257.820i	−0.611645	−	0.279329i
$924$	−73.4344	−	8.74498i	−0.0794744	−	0.00946427i
$925$	275.826	−	80.9899i	0.298190	−	0.0875566i
$926$	477.381	+	1625.81i	0.515530	+	1.75573i
$927$	−1513.59	−	365.680i	−1.63279	−	0.394477i
$928$	−6455.15	+	4148.47i	−6.95598	+	4.47033i
$929$	−767.455	+	350.485i	−0.826109	+	0.377271i	−0.783171	−	0.621806i	$-0.786399\pi$
$929$	−767.455	+	350.485i	−0.826109	+	0.377271i	−0.0429380	+	0.999078i	$0.513672\pi$
$930$	−1154.14	+	369.540i	−1.24101	+	0.397355i
$931$	125.250	+	274.259i	0.134533	+	0.294586i
$932$	3149.91	+	452.888i	3.37973	+	0.485932i
$933$	437.199	−	397.817i	0.468594	−	0.426385i
$934$	−1909.89	+	2204.13i	−2.04485	+	2.35988i
$935$	−68.8064	+	107.065i	−0.0735897	+	0.114508i
$936$	85.7675	+	1765.40i	0.0916320	+	1.88611i
$937$	−1024.92			−1.09383			−0.546916	−	0.837187i	$-0.684198\pi$
$937$	−1024.92			−1.09383			−0.546916	+	0.837187i	$0.684198\pi$
$938$	−91.0315	−	172.623i	−0.0970486	−	0.184033i
$939$	−647.644	+	438.784i	−0.689717	+	0.467289i
$940$	−116.233	−	254.514i	−0.123652	−	0.270760i
$941$	−178.805	+	278.226i	−0.190016	+	0.295671i	−0.923170	−	0.384392i	$-0.874411\pi$
$941$	−178.805	+	278.226i	−0.190016	+	0.295671i	0.733154	+	0.680063i	$0.238047\pi$
$942$	2844.73	+	338.767i	3.01989	+	0.359625i
$943$	−82.9843	−	577.168i	−0.0880003	−	0.612055i
$944$	5976.22	+	859.250i	6.33074	+	0.910223i
$945$	28.5478	+	38.0229i	0.0302093	+	0.0402359i
$946$	−380.166	−	111.627i	−0.401867	−	0.117999i
$947$	68.7460	−	31.3953i	0.0725935	−	0.0331523i	−0.378787	−	0.925484i	$-0.623659\pi$
$947$	68.7460	−	31.3953i	0.0725935	−	0.0331523i	0.451381	+	0.892331i	$0.350932\pi$
$948$	1359.91	−	3179.84i	1.43450	−	3.35426i
$949$	0.457153	+	3.17957i	0.000481721	+	0.00335044i
$950$	133.136	+	453.418i	0.140143	+	0.477283i
$951$	−893.870	−	737.332i	−0.939926	−	0.775323i
$952$	−256.509	+	296.027i	−0.269442	+	0.310953i
$953$	250.993	+	114.625i	0.263372	+	0.120278i	0.542725	−	0.839911i	$-0.317393\pi$
$953$	250.993	+	114.625i	0.263372	+	0.120278i	−0.279353	+	0.960188i	$0.590120\pi$
$954$	190.149	+	45.9396i	0.199318	+	0.0481547i
$955$	−107.988	−	124.625i	−0.113077	−	0.130498i
$956$	−1428.79	−	1238.05i	−1.49455	−	1.29503i
$957$	−76.2480	−	452.125i	−0.0796740	−	0.472439i
$958$	−2070.91	−	1330.89i	−2.16170	−	1.38924i
$959$	−89.7212	−	12.9000i	−0.0935570	−	0.0134515i
$960$	−2009.05	−	859.203i	−2.09276	−	0.895003i
$961$	792.257	+	509.153i	0.824409	+	0.529816i
$962$	300.539	−	260.419i	0.312411	−	0.270705i
$963$	750.178	+	70.9185i	0.779001	+	0.0736433i
$964$	3240.58	+	3739.83i	3.36160	+	3.87949i
$965$	−140.242	−	20.1638i	−0.145328	−	0.0208951i
$966$	−333.739	+	106.858i	−0.345485	+	0.110619i
$967$	−1333.06			−1.37855			−0.689274	−	0.724501i	$-0.742070\pi$
$967$	−1333.06			−1.37855			−0.689274	+	0.724501i	$0.742070\pi$
$968$		−	3219.93i		−	3.32637i
$969$	104.631	+	326.783i	0.107979	+	0.337237i
$970$	−895.781	+	575.684i	−0.923486	+	0.593488i
$971$	1224.15	+	559.050i	1.26071	+	0.575746i	0.929852	−	0.367934i	$-0.119935\pi$
$971$	1224.15	+	559.050i	1.26071	+	0.575746i	0.330857	+	0.943681i	$0.392662\pi$
$972$	1536.08	−	2281.14i	1.58033	−	2.34685i
$973$	−12.3508	+	7.93741i	−0.0126936	+	0.00815766i
$974$	−666.617	+	2270.29i	−0.684412	+	2.33089i
$975$	−330.435	+	223.872i	−0.338908	+	0.229613i
$976$	5123.05			5.24903
$977$	245.249	−	835.240i	0.251022	−	0.854903i	−0.733507	−	0.679682i	$-0.762118\pi$
$977$	245.249	−	835.240i	0.251022	−	0.854903i	0.984529	−	0.175221i	$-0.0560640\pi$
$978$	661.060	−	321.509i	0.675930	−	0.328741i
$979$	67.4496	+	77.8410i	0.0688965	+	0.0795108i
$980$	−365.501	−	1244.78i	−0.372960	−	1.27019i
$981$	−1222.10	+	424.266i	−1.24577	+	0.432484i
$982$	−1835.92	−	1179.87i	−1.86957	−	1.20150i
$983$	−782.210	−	1217.14i	−0.795738	−	1.23819i	−0.967454	−	0.253046i	$-0.918568\pi$
$983$	−782.210	−	1217.14i	−0.795738	−	1.23819i	0.171717	−	0.985146i	$-0.445069\pi$
$984$	546.371	+	1123.40i	0.555256	+	1.14167i
$985$	−50.2057	−	32.2653i	−0.0509703	−	0.0327566i
$986$	−3416.65	−	1560.33i	−3.46517	−	1.58249i
$987$	23.1649	+	2.75861i	0.0234700	+	0.00279494i
$988$	316.298	+	365.028i	0.320140	+	0.369461i
$989$	−1373.07	+	197.417i	−1.38834	+	0.199613i
$990$	176.379	−	168.495i	0.178161	−	0.170197i
$991$	−463.586	+	535.006i	−0.467796	+	0.539865i	−0.939797	−	0.341733i	$-0.888986\pi$
$991$	−463.586	+	535.006i	−0.467796	+	0.539865i	0.472001	+	0.881598i	$0.343532\pi$
$992$	1805.76	+	6149.85i	1.82032	+	6.19944i
$993$	877.252	−	1063.50i	0.883436	−	1.07099i
$994$	37.5166	+	260.934i	0.0377431	+	0.262509i
$995$	−153.380	−	238.664i	−0.154151	−	0.239863i
$996$	−1182.98	+	1942.86i	−1.18773	+	1.95067i
$997$	−1567.55	−	460.275i	−1.57227	−	0.461660i	−0.624610	−	0.780937i	$-0.714742\pi$
$997$	−1567.55	−	460.275i	−1.57227	−	0.461660i	−0.947662	+	0.319277i	$0.896560\pi$
$998$	−1418.52	+	647.815i	−1.42136	+	0.649113i
$999$	−399.003	+	29.1054i	−0.399402	+	0.0291346i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	201.3.k.a.14.1	✓	440
3.2	odd	2	inner	201.3.k.a.14.44	yes	440
67.24	even	11	inner	201.3.k.a.158.44	yes	440
201.158	odd	22	inner	201.3.k.a.158.1	yes	440

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
201.3.k.a.14.1	✓	440	1.1	even	1	trivial
201.3.k.a.14.44	yes	440	3.2	odd	2	inner
201.3.k.a.158.1	yes	440	201.158	odd	22	inner
201.3.k.a.158.44	yes	440	67.24	even	11	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 $\F_{q}$

Level:	\( N \)	\(=\)	\( 201 = 3 \cdot 67 \)
Weight:	\( k \)	\(=\)	\( 3 \)
Character orbit:	\([\chi]\)	\(=\)	201.k (of order \(22\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(-3.56006 + 1.62583i) q^{2} +(2.99912 - 0.0728092i) q^{3} +(7.41130 - 8.55309i) q^{4} +(2.34209 - 0.336742i) q^{5} +(-10.5587 + 5.13525i) q^{6} +(0.309168 + 0.676984i) q^{7} +(-8.06833 + 27.4782i) q^{8} +(8.98940 - 0.436727i) q^{9} +O(q^{10})\)	\(q+(-3.56006 + 1.62583i) q^{2} +(2.99912 - 0.0728092i) q^{3} +(7.41130 - 8.55309i) q^{4} +(2.34209 - 0.336742i) q^{5} +(-10.5587 + 5.13525i) q^{6} +(0.309168 + 0.676984i) q^{7} +(-8.06833 + 27.4782i) q^{8} +(8.98940 - 0.436727i) q^{9} +(-7.79051 + 5.00666i) q^{10} +(-2.89691 + 0.416513i) q^{11} +(21.6046 - 26.1913i) q^{12} +(6.57973 - 1.93198i) q^{13} +(-2.20132 - 1.90745i) q^{14} +(6.99969 - 1.18045i) q^{15} +(-9.50852 - 66.1332i) q^{16} +(13.8891 - 12.0349i) q^{17} +(-31.2928 + 16.1700i) q^{18} +(-2.58535 + 5.66112i) q^{19} +(14.4778 - 22.5278i) q^{20} +(0.976522 + 2.00784i) q^{21} +(9.63600 - 6.19268i) q^{22} +(21.6812 - 33.7365i) q^{23} +(-22.1972 + 82.9978i) q^{24} +(-18.6153 + 5.46595i) q^{25} +(-20.2832 + 17.5755i) q^{26} +(26.9285 - 1.96431i) q^{27} +(8.08164 + 2.37298i) q^{28} +52.2214i q^{29} +(-23.0001 + 15.5828i) q^{30} +(41.8537 + 12.2893i) q^{31} +(79.4401 + 123.611i) q^{32} +(-8.65784 + 1.46009i) q^{33} +(-29.8792 + 65.4263i) q^{34} +(0.952069 + 1.48145i) q^{35} +(62.8877 - 80.1239i) q^{36} -14.8172 q^{37} -24.3573i q^{38} +(19.5927 - 6.27331i) q^{39} +(-9.64371 + 67.0735i) q^{40} +(10.9888 - 9.52184i) q^{41} +(-6.74088 - 5.56039i) q^{42} +(-22.6522 - 26.1420i) q^{43} +(-17.9074 + 27.8644i) q^{44} +(20.9069 - 4.04996i) q^{45} +(-22.3365 + 155.354i) q^{46} +(5.64889 - 8.78984i) q^{47} +(-33.3323 - 197.649i) q^{48} +(31.7255 - 36.6131i) q^{49} +(57.3851 - 49.7244i) q^{50} +(40.7786 - 37.1054i) q^{51} +(32.2399 - 70.5955i) q^{52} +(-4.19717 - 3.63687i) q^{53} +(-92.6734 + 50.7740i) q^{54} +(-6.64457 + 1.95102i) q^{55} +(-21.0968 + 3.03326i) q^{56} +(-7.34157 + 17.1666i) q^{57} +(-84.9029 - 185.911i) q^{58} +(-25.4591 + 86.7059i) q^{59} +(41.7802 - 68.6177i) q^{60} +(-10.9123 + 75.8966i) q^{61} +(-168.982 + 24.2960i) q^{62} +(3.07489 + 5.95065i) q^{63} +(-258.954 - 166.420i) q^{64} +(14.7597 - 6.74055i) q^{65} +(28.4486 - 19.2742i) q^{66} +(62.4291 + 24.3229i) q^{67} -207.989i q^{68} +(62.5680 - 102.758i) q^{69} +(-5.79800 - 3.72615i) q^{70} +(-68.3985 - 59.2677i) q^{71} +(-60.5290 + 250.536i) q^{72} +(-0.0666646 + 0.463663i) q^{73} +(52.7500 - 24.0901i) q^{74} +(-55.4316 + 17.7484i) q^{75} +(29.2593 + 64.0689i) q^{76} +(-1.17760 - 1.83239i) q^{77} +(-59.5520 + 54.1877i) q^{78} +(97.7358 - 28.6978i) q^{79} +(-44.5397 - 151.688i) q^{80} +(80.6185 - 7.85182i) q^{81} +(-23.6399 + 51.7642i) q^{82} +(-66.3147 + 9.53462i) q^{83} +(24.4106 + 6.52844i) q^{84} +(28.4768 - 32.8640i) q^{85} +(123.146 + 56.2387i) q^{86} +(3.80220 + 156.618i) q^{87} +(11.9282 - 82.9625i) q^{88} +(-19.0266 - 29.6060i) q^{89} +(-67.8455 + 48.4092i) q^{90} +(3.34216 + 3.85706i) q^{91} +(-127.866 - 435.473i) q^{92} +(126.419 + 33.8098i) q^{93} +(-5.81964 + 40.4765i) q^{94} +(-4.14878 + 14.1295i) q^{95} +(247.250 + 364.940i) q^{96} +114.984 q^{97} +(-53.4180 + 181.925i) q^{98} +(-25.8596 + 5.00936i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 440 q - 11 q^{3} + 70 q^{4} - 17 q^{6} - 30 q^{7} - 15 q^{9}+O(q^{10}) \) 440 * q - 11 * q^3 + 70 * q^4 - 17 * q^6 - 30 * q^7 - 15 * q^9	\( 440 q - 11 q^{3} + 70 q^{4} - 17 q^{6} - 30 q^{7} - 15 q^{9} - 34 q^{10} - 123 q^{12} + 10 q^{13} + 19 q^{15} - 226 q^{16} - 33 q^{18} - 100 q^{19} + 85 q^{21} - 454 q^{22} - 251 q^{24} + 142 q^{25} - 53 q^{27} + 642 q^{28} - 80 q^{30} - 130 q^{31} + 104 q^{33} + 26 q^{34} + 67 q^{36} - 144 q^{37} + 117 q^{39} - 182 q^{40} + 193 q^{42} - 156 q^{43} + 341 q^{45} - 746 q^{46} - 485 q^{48} - 354 q^{49} - 125 q^{51} + 1130 q^{52} + 272 q^{54} - 590 q^{55} + 15 q^{57} - 274 q^{58} - 217 q^{60} - 1134 q^{61} + 279 q^{63} + 58 q^{64} + 1288 q^{66} - 87 q^{69} + 1038 q^{70} - 977 q^{72} + 1208 q^{73} - 751 q^{75} + 1126 q^{76} - 11 q^{78} + 678 q^{79} + 125 q^{81} + 510 q^{82} + 191 q^{84} + 166 q^{85} + 1080 q^{87} + 62 q^{88} - 105 q^{90} + 550 q^{91} + 635 q^{93} + 986 q^{94} - 1632 q^{96} - 112 q^{97} - 500 q^{99}+O(q^{100}) \) 440 * q - 11 * q^3 + 70 * q^4 - 17 * q^6 - 30 * q^7 - 15 * q^9 - 34 * q^10 - 123 * q^12 + 10 * q^13 + 19 * q^15 - 226 * q^16 - 33 * q^18 - 100 * q^19 + 85 * q^21 - 454 * q^22 - 251 * q^24 + 142 * q^25 - 53 * q^27 + 642 * q^28 - 80 * q^30 - 130 * q^31 + 104 * q^33 + 26 * q^34 + 67 * q^36 - 144 * q^37 + 117 * q^39 - 182 * q^40 + 193 * q^42 - 156 * q^43 + 341 * q^45 - 746 * q^46 - 485 * q^48 - 354 * q^49 - 125 * q^51 + 1130 * q^52 + 272 * q^54 - 590 * q^55 + 15 * q^57 - 274 * q^58 - 217 * q^60 - 1134 * q^61 + 279 * q^63 + 58 * q^64 + 1288 * q^66 - 87 * q^69 + 1038 * q^70 - 977 * q^72 + 1208 * q^73 - 751 * q^75 + 1126 * q^76 - 11 * q^78 + 678 * q^79 + 125 * q^81 + 510 * q^82 + 191 * q^84 + 166 * q^85 + 1080 * q^87 + 62 * q^88 - 105 * q^90 + 550 * q^91 + 635 * q^93 + 986 * q^94 - 1632 * q^96 - 112 * q^97 - 500 * q^99

Introduction

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