LMFDB - Embedded newform 197.4.e.a.6.11

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [197,4,Mod(6,197)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(197, base_ring=CyclotomicField(14))

chi = DirichletCharacter(H, H._module([13]))

N = Newforms(chi, 4, names="a")

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

chi := DirichletCharacter("197.6");

S:= CuspForms(chi, 4);

N := Newforms(S);

Level:	$N$	$=$	$197$
Weight:	$k$	$=$	$4$
Character orbit:	$[\chi]$	$=$	197.e (of order $14$ , degree $6$ , 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:	$11.6233762711$
Analytic rank:	$0$
Dimension:	$288$
Relative dimension:	$48$ over $\Q(\zeta_{14})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{14}]$

Embedding invariants

Embedding label			6.11
Character	$\chi$	$=$	197.6
Dual form			197.4.e.a.33.11

$q$ -expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-3.42780 + 0.782374i) q^{2} +(1.54660 + 0.353002i) q^{3} +(3.92998 - 1.89258i) q^{4} +(5.76545 - 11.9721i) q^{5} -5.57762 q^{6} +(-3.44993 + 15.1151i) q^{7} +(10.0006 - 7.97521i) q^{8} +(-22.0588 - 10.6230i) q^{9} +(-10.3962 + 45.5487i) q^{10} +(58.9898 - 13.4640i) q^{11} +(6.74619 - 1.53977i) q^{12} +(-41.9671 - 33.4676i) q^{13} -54.5109i q^{14} +(13.1430 - 16.4808i) q^{15} +(-49.7975 + 62.4441i) q^{16} +(-44.1898 + 91.7610i) q^{17} +(83.9243 + 19.1552i) q^{18} -22.8168 q^{19} -57.9616i q^{20} +(-10.6713 + 22.1593i) q^{21} +(-191.672 + 92.3041i) q^{22} +(-13.1510 - 57.6181i) q^{23} +(18.2822 - 8.80424i) q^{24} +(-32.1543 - 40.3202i) q^{25} +(170.039 + 81.8866i) q^{26} +(-63.8537 - 50.9217i) q^{27} +(15.0484 + 65.9314i) q^{28} +(-46.2955 - 202.834i) q^{29} +(-32.1575 + 66.7758i) q^{30} +(136.112 - 31.0667i) q^{31} +(77.4422 - 160.810i) q^{32} +95.9865 q^{33} +(79.6825 - 349.112i) q^{34} +(161.069 + 128.449i) q^{35} -106.795 q^{36} +(-270.648 - 339.382i) q^{37} +(78.2114 - 17.8512i) q^{38} +(-53.0922 - 66.5755i) q^{39} +(-37.8219 - 165.709i) q^{40} +(-270.871 - 130.445i) q^{41} +(19.2424 - 84.3066i) q^{42} +(-39.7464 - 174.140i) q^{43} +(206.347 - 164.556i) q^{44} +(-254.358 + 202.844i) q^{45} +(90.1578 + 187.215i) q^{46} +(-257.981 - 323.498i) q^{47} +(-99.0597 + 78.9975i) q^{48} +(92.4669 + 44.5297i) q^{49} +(141.764 + 113.053i) q^{50} +(-100.736 + 126.319i) q^{51} +(-228.270 - 52.1011i) q^{52} +(192.289 - 92.6013i) q^{53} +(258.718 + 124.592i) q^{54} +(178.910 - 783.857i) q^{55} +(86.0450 + 178.674i) q^{56} +(-35.2885 - 8.05436i) q^{57} +(317.384 + 659.054i) q^{58} +(74.4004 + 325.969i) q^{59} +(20.4605 - 89.6435i) q^{60} +(-74.2116 - 325.142i) q^{61} +(-442.260 + 212.981i) q^{62} +(236.669 - 296.773i) q^{63} +(2.53744 - 11.1172i) q^{64} +(-642.637 + 309.478i) q^{65} +(-329.023 + 75.0973i) q^{66} +(85.2377 - 67.9748i) q^{67} +444.251i q^{68} -93.7546i q^{69} +(-652.609 - 314.280i) q^{70} +(93.3568 - 193.857i) q^{71} +(-305.321 + 69.6876i) q^{72} +(-432.243 + 344.703i) q^{73} +(1193.25 + 951.587i) q^{74} +(-35.4967 - 73.7097i) q^{75} +(-89.6694 + 43.1825i) q^{76} +938.089i q^{77} +(234.077 + 186.670i) q^{78} +(-82.4562 - 171.222i) q^{79} +(460.481 + 956.199i) q^{80} +(331.378 + 415.535i) q^{81} +(1030.55 + 235.216i) q^{82} -225.386 q^{83} +107.282i q^{84} +(843.797 + 1058.09i) q^{85} +(272.486 + 565.822i) q^{86} -330.045i q^{87} +(482.554 - 605.104i) q^{88} +(-719.599 - 164.244i) q^{89} +(713.190 - 894.311i) q^{90} +(650.652 - 518.878i) q^{91} +(-160.730 - 201.549i) q^{92} +221.478 q^{93} +(1137.40 + 907.050i) q^{94} +(-131.549 + 273.165i) q^{95} +(176.538 - 221.372i) q^{96} +(86.9221 + 41.8595i) q^{97} +(-351.797 - 80.2954i) q^{98} +(-1444.27 - 329.646i) q^{99} +O(q^{100})$
$\operatorname{Tr}(f)(q)$	$=$	$288 q - 7 q^{2} - 7 q^{3} + 159 q^{4} - 7 q^{5} + 26 q^{6} - 53 q^{7} + 49 q^{8} + 391 q^{9} + 149 q^{10} + 91 q^{11} - 63 q^{12} - 7 q^{13} - 473 q^{15} - 1113 q^{16} - 7 q^{17} - 196 q^{18} + 464 q^{19}+ \cdots + 2464 q^{99}+O(q^{100})$ 288 * q - 7 * q^2 - 7 * q^3 + 159 * q^4 - 7 * q^5 + 26 * q^6 - 53 * q^7 + 49 * q^8 + 391 * q^9 + 149 * q^10 + 91 * q^11 - 63 * q^12 - 7 * q^13 - 473 * q^15 - 1113 * q^16 - 7 * q^17 - 196 * q^18 + 464 * q^19 - 7 * q^21 + 807 * q^22 + 413 * q^23 - 1425 * q^24 + 1195 * q^25 - 543 * q^26 + 455 * q^27 + 174 * q^28 - 906 * q^29 + 798 * q^30 + 917 * q^31 + 945 * q^32 + 894 * q^33 - 219 * q^34 - 7 * q^35 + 3250 * q^36 + 1734 * q^37 - 63 * q^38 - 825 * q^39 + 141 * q^40 + 563 * q^41 + 432 * q^42 - 423 * q^43 + 2149 * q^44 - 3808 * q^45 - 2569 * q^46 - 289 * q^47 - 3703 * q^48 - 3747 * q^49 - 4963 * q^50 - 87 * q^51 + 3654 * q^52 - 1573 * q^53 - 1228 * q^54 + 2825 * q^55 + 98 * q^56 - 518 * q^57 - 5103 * q^58 + 2045 * q^59 + 3375 * q^60 + 287 * q^61 - 2547 * q^62 + 1453 * q^63 + 6475 * q^64 + 1268 * q^65 + 4634 * q^66 - 3577 * q^67 - 814 * q^70 - 273 * q^71 - 1008 * q^72 - 679 * q^73 - 315 * q^74 - 1281 * q^75 + 6078 * q^76 + 4739 * q^78 + 1463 * q^79 + 441 * q^80 - 4427 * q^81 - 7 * q^82 + 4900 * q^83 - 3351 * q^85 + 3472 * q^86 + 3738 * q^88 + 147 * q^89 + 7133 * q^90 - 14133 * q^91 - 803 * q^92 - 4894 * q^93 - 7833 * q^94 - 7700 * q^95 - 16450 * q^96 + 1233 * q^97 - 2030 * q^98 + 2464 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/197\mathbb{Z}\right)^\times$ .

$n$	$2$
$\chi(n)$	$e\left(\frac{13}{14}\right)$

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

)

$n$	$a_n$			$a_n / n^{(k-1)/2}$			$\alpha_n$			$\theta_n$
$p$	$a_p$			$a_p / p^{(k-1)/2}$			$\alpha_p$			$\theta_p$

$2$	−3.42780	+	0.782374i	−1.21191	+	0.276611i	−0.780275	−	0.625437i	$-0.784921\pi$
$2$	−3.42780	+	0.782374i	−1.21191	+	0.276611i	−0.431637	+	0.902048i	$0.642064\pi$
$3$	1.54660	+	0.353002i	0.297644	+	0.0679352i	0.368735	−	0.929535i	$-0.379791\pi$
$3$	1.54660	+	0.353002i	0.297644	+	0.0679352i	−0.0710913	+	0.997470i	$0.522648\pi$
$4$	3.92998	−	1.89258i	0.491247	−	0.236572i
$5$	5.76545	−	11.9721i	0.515678	−	1.07082i	−0.466787	−	0.884370i	$-0.654589\pi$
$5$	5.76545	−	11.9721i	0.515678	−	1.07082i	0.982465	−	0.186447i	$-0.0596971\pi$
$6$	−5.57762			−0.379509
$7$	−3.44993	+	15.1151i	−0.186279	+	0.816141i	0.792277	+	0.610161i	$0.208895\pi$
$7$	−3.44993	+	15.1151i	−0.186279	+	0.816141i	−0.978556	+	0.205980i	$0.933962\pi$
$8$	10.0006	−	7.97521i	0.441968	−	0.352458i
$9$	−22.0588	−	10.6230i	−0.816992	−	0.393443i
$10$	−10.3962	+	45.5487i	−0.328757	+	1.44038i
$11$	58.9898	−	13.4640i	1.61692	−	0.369051i	0.684097	−	0.729391i	$-0.260197\pi$
$11$	58.9898	−	13.4640i	1.61692	−	0.369051i	0.932821	+	0.360340i	$0.117339\pi$
$12$	6.74619	−	1.53977i	0.162288	−	0.0370412i
$13$	−41.9671	−	33.4676i	−0.895352	−	0.714020i	0.0634829	−	0.997983i	$-0.479779\pi$
$13$	−41.9671	−	33.4676i	−0.895352	−	0.714020i	−0.958835	+	0.283963i	$0.908351\pi$
$14$		−	54.5109i		−	1.04062i
$15$	13.1430	−	16.4808i	0.226234	−	0.283689i
$16$	−49.7975	+	62.4441i	−0.778086	+	0.975689i
$17$	−44.1898	+	91.7610i	−0.630447	+	1.30914i	0.303877	+	0.952711i	$0.401719\pi$
$17$	−44.1898	+	91.7610i	−0.630447	+	1.30914i	−0.934324	+	0.356425i	$0.883995\pi$
$18$	83.9243	+	19.1552i	1.09895	+	0.250829i
$19$	−22.8168			−0.275501			−0.137751	−	0.990467i	$-0.543987\pi$
$19$	−22.8168			−0.275501			−0.137751	+	0.990467i	$0.543987\pi$
$20$		−	57.9616i		−	0.648031i
$21$	−10.6713	+	22.1593i	−0.110889	+	0.230264i
$22$	−191.672	+	92.3041i	−1.85748	+	0.894514i
$23$	−13.1510	−	57.6181i	−0.119225	−	0.522357i	−0.998905	−	0.0467912i	$-0.985100\pi$
$23$	−13.1510	−	57.6181i	−0.119225	−	0.522357i	0.879680	−	0.475566i	$-0.157757\pi$
$24$	18.2822	−	8.80424i	0.155493	−	0.0748816i
$25$	−32.1543	−	40.3202i	−0.257234	−	0.322561i
$26$	170.039	+	81.8866i	1.28259	+	0.617664i
$27$	−63.8537	−	50.9217i	−0.455135	−	0.362958i
$28$	15.0484	+	65.9314i	0.101567	+	0.444995i
$29$	−46.2955	−	202.834i	−0.296443	−	1.29880i	−0.875382	−	0.483432i	$-0.839390\pi$
$29$	−46.2955	−	202.834i	−0.296443	−	1.29880i	0.578939	−	0.815371i	$-0.303467\pi$
$30$	−32.1575	+	66.7758i	−0.195705	+	0.406385i
$31$	136.112	−	31.0667i	0.788595	−	0.179992i	0.190788	−	0.981631i	$-0.438896\pi$
$31$	136.112	−	31.0667i	0.788595	−	0.179992i	0.597808	+	0.801640i	$0.296039\pi$
$32$	77.4422	−	160.810i	0.427812	−	0.888360i
$33$	95.9865			0.506337
$34$	79.6825	−	349.112i	0.401924	−	1.76095i
$35$	161.069	+	128.449i	0.777877	+	0.620336i
$36$	−106.795			−0.494423
$37$	−270.648	−	339.382i	−1.20255	−	1.50795i	−0.808117	−	0.589022i	$-0.799513\pi$
$37$	−270.648	−	339.382i	−1.20255	−	1.50795i	−0.394431	−	0.918926i	$-0.629058\pi$
$38$	78.2114	−	17.8512i	0.333883	−	0.0762067i
$39$	−53.0922	−	66.5755i	−0.217989	−	0.273349i
$40$	−37.8219	−	165.709i	−0.149504	−	0.655021i
$41$	−270.871	−	130.445i	−1.03178	−	0.496879i	−0.160175	−	0.987089i	$-0.551206\pi$
$41$	−270.871	−	130.445i	−1.03178	−	0.496879i	−0.871605	+	0.490210i	$0.836920\pi$
$42$	19.2424	−	84.3066i	0.0706945	−	0.309733i
$43$	−39.7464	−	174.140i	−0.140960	−	0.617585i	−0.995213	−	0.0977282i	$-0.968842\pi$
$43$	−39.7464	−	174.140i	−0.140960	−	0.617585i	0.854253	−	0.519857i	$-0.174015\pi$
$44$	206.347	−	164.556i	0.706999	−	0.563813i
$45$	−254.358	+	202.844i	−0.842610	+	0.671959i
$46$	90.1578	+	187.215i	0.288979	+	0.600072i
$47$	−257.981	−	323.498i	−0.800647	−	1.00398i	−0.999712	−	0.0239928i	$-0.992362\pi$
$47$	−257.981	−	323.498i	−0.800647	−	1.00398i	0.199066	−	0.979986i	$-0.436209\pi$
$48$	−99.0597	+	78.9975i	−0.297876	+	0.237548i
$49$	92.4669	+	44.5297i	0.269583	+	0.129824i
$50$	141.764	+	113.053i	0.400969	+	0.319762i
$51$	−100.736	+	126.319i	−0.276585	+	0.346826i
$52$	−228.270	−	52.1011i	−0.608756	−	0.138945i
$53$	192.289	−	92.6013i	0.498356	−	0.239996i	−0.167782	−	0.985824i	$-0.553660\pi$
$53$	192.289	−	92.6013i	0.498356	−	0.239996i	0.666138	+	0.745829i	$0.267946\pi$
$54$	258.718	+	124.592i	0.651982	+	0.313978i
$55$	178.910	−	783.857i	0.438623	−	1.92173i
$56$	86.0450	+	178.674i	0.205326	+	0.426363i
$57$	−35.2885	−	8.05436i	−0.0820012	−	0.0187162i
$58$	317.384	+	659.054i	0.718526	+	1.49203i
$59$	74.4004	+	325.969i	0.164171	+	0.719282i	0.988255	+	0.152814i	$0.0488334\pi$
$59$	74.4004	+	325.969i	0.164171	+	0.719282i	−0.824084	+	0.566468i	$0.808309\pi$
$60$	20.4605	−	89.6435i	0.0440241	−	0.192882i
$61$	−74.2116	−	325.142i	−0.155768	−	0.682462i	−0.991145	−	0.132785i	$-0.957608\pi$
$61$	−74.2116	−	325.142i	−0.155768	−	0.682462i	0.835377	−	0.549677i	$-0.185249\pi$
$62$	−442.260	+	212.981i	−0.905920	+	0.436268i
$63$	236.669	−	296.773i	0.473293	−	0.593491i
$64$	2.53744	−	11.1172i	0.00495594	−	0.0217134i
$65$	−642.637	+	309.478i	−1.22630	+	0.590554i
$66$	−329.023	+	75.0973i	−0.613635	+	0.140058i
$67$	85.2377	−	67.9748i	0.155425	−	0.123947i	−0.542690	−	0.839933i	$-0.682594\pi$
$67$	85.2377	−	67.9748i	0.155425	−	0.123947i	0.698114	+	0.715986i	$0.254023\pi$
$68$			444.251i			0.792256i
$69$		−	93.7546i		−	0.163576i
$70$	−652.609	−	314.280i	−1.11431	−	0.536623i
$71$	93.3568	−	193.857i	0.156048	−	0.324037i	−0.808257	−	0.588829i	$-0.799589\pi$
$71$	93.3568	−	193.857i	0.156048	−	0.324037i	0.964306	+	0.264792i	$0.0853033\pi$
$72$	−305.321	+	69.6876i	−0.499756	+	0.114066i
$73$	−432.243	+	344.703i	−0.693017	+	0.552663i	−0.905419	−	0.424520i	$-0.860443\pi$
$73$	−432.243	+	344.703i	−0.693017	+	0.552663i	0.212401	+	0.977183i	$0.431872\pi$
$74$	1193.25	+	951.587i	1.87450	+	1.49486i
$75$	−35.4967	−	73.7097i	−0.0546508	−	0.113484i
$76$	−89.6694	+	43.1825i	−0.135339	+	0.0651760i
$77$			938.089i			1.38838i
$78$	234.077	+	186.670i	0.339794	+	0.270977i
$79$	−82.4562	−	171.222i	−0.117431	−	0.243848i	0.833966	−	0.551817i	$-0.186065\pi$
$79$	−82.4562	−	171.222i	−0.117431	−	0.243848i	−0.951397	+	0.307969i	$0.900351\pi$
$80$	460.481	+	956.199i	0.643542	+	1.33633i
$81$	331.378	+	415.535i	0.454566	+	0.570007i
$82$	1030.55	+	235.216i	1.38787	+	0.316772i
$83$	−225.386			−0.298064			−0.149032	−	0.988832i	$-0.547616\pi$
$83$	−225.386			−0.298064			−0.149032	+	0.988832i	$0.547616\pi$
$84$			107.282i			0.139350i
$85$	843.797	+	1058.09i	1.07674	+	1.35019i
$86$	272.486	+	565.822i	0.341662	+	0.709467i
$87$		−	330.045i		−	0.406719i
$88$	482.554	−	605.104i	0.584551	−	0.733004i
$89$	−719.599	−	164.244i	−0.857049	−	0.195616i	−0.228652	−	0.973508i	$-0.573432\pi$
$89$	−719.599	−	164.244i	−0.857049	−	0.195616i	−0.628397	+	0.777892i	$0.716289\pi$
$90$	713.190	−	894.311i	0.835298	−	1.04743i
$91$	650.652	−	518.878i	0.749526	−	0.597727i
$92$	−160.730	−	201.549i	−0.182144	−	0.228401i
$93$	221.478			0.246948
$94$	1137.40	+	907.050i	1.24802	+	0.995266i
$95$	−131.549	+	273.165i	−0.142070	+	0.295011i
$96$	176.538	−	221.372i	0.187686	−	0.235351i
$97$	86.9221	+	41.8595i	0.0909856	+	0.0438164i	0.478823	−	0.877911i	$-0.341064\pi$
$97$	86.9221	+	41.8595i	0.0909856	+	0.0438164i	−0.387837	+	0.921728i	$0.626778\pi$
$98$	−351.797	−	80.2954i	−0.362621	−	0.0827659i
$99$	−1444.27	−	329.646i	−1.46621	−	0.334653i
$100$	−202.675	−	97.6029i	−0.202675	−	0.0976029i
$101$	−1129.11	+	1415.86i	−1.11238	+	1.39488i	−0.202869	+	0.979206i	$0.565027\pi$
$101$	−1129.11	+	1415.86i	−1.11238	+	1.39488i	−0.909512	+	0.415677i	$0.863545\pi$
$102$	246.474	−	511.809i	0.239260	−	0.496829i
$103$	674.396	+	537.813i	0.645148	+	0.514488i	0.890522	−	0.454940i	$-0.150339\pi$
$103$	674.396	+	537.813i	0.645148	+	0.514488i	−0.245374	+	0.969428i	$0.578911\pi$
$104$	−686.607			−0.647379
$105$	203.768	+	255.516i	0.189387	+	0.237484i
$106$	−586.679	+	467.861i	−0.537578	+	0.428704i
$107$	−285.525	+	358.037i	−0.257970	+	0.323484i	−0.893903	−	0.448260i	$-0.852044\pi$
$107$	−285.525	+	358.037i	−0.257970	+	0.323484i	0.635933	+	0.771744i	$0.280615\pi$
$108$	−347.317	−	79.2728i	−0.309450	−	0.0706299i
$109$	363.460	−	455.765i	0.319387	−	0.400498i	−0.596058	−	0.802941i	$-0.703267\pi$
$109$	363.460	−	455.765i	0.319387	−	0.400498i	0.915445	+	0.402443i	$0.131839\pi$
$110$			2826.88i			2.45030i
$111$	−298.782	−	620.428i	−0.255488	−	0.530526i
$112$	−772.053	−	968.124i	−0.651359	−	0.816778i
$113$			269.589i			0.224432i	0.993684	+	0.112216i	$0.0357948\pi$
$113$			269.589i			0.224432i	−0.993684	+	0.112216i	$0.964205\pi$
$114$	127.263			0.104555
$115$	−765.631	−	174.750i	−0.620830	−	0.141700i
$116$	−565.819	−	709.514i	−0.452887	−	0.567903i
$117$	570.218	+	1184.07i	0.450570	+	0.935618i
$118$	−510.060	−	1059.15i	−0.397922	−	0.826294i
$119$	−1234.53	−	984.504i	−0.951001	−	0.758398i
$120$		−	269.636i		−	0.205119i
$121$	2099.33	−	1010.98i	1.57726	−	0.759566i
$122$	508.765	+	1056.46i	0.377553	+	0.783997i
$123$	−372.883	−	297.364i	−0.273347	−	0.217987i
$124$	476.121	−	379.694i	0.344814	−	0.274980i
$125$	951.257	−	217.118i	0.680664	−	0.155357i
$126$	−579.067	+	1202.44i	−0.409423	+	0.850176i
$127$	−1381.52	−	665.305i	−0.965276	−	0.464853i	−0.116260	−	0.993219i	$-0.537091\pi$
$127$	−1381.52	−	665.305i	−0.965276	−	0.464853i	−0.849017	+	0.528366i	$0.822805\pi$
$128$			1467.98i			1.01369i
$129$		−	283.356i		−	0.193396i
$130$	1960.71	−	1563.61i	1.32281	−	1.05491i
$131$	593.665	−	135.500i	0.395945	−	0.0903718i	−0.0199125	−	0.999802i	$-0.506339\pi$
$131$	593.665	−	135.500i	0.395945	−	0.0903718i	0.415857	+	0.909430i	$0.363482\pi$
$132$	377.225	−	181.662i	0.248736	−	0.119785i
$133$	78.7163	−	344.879i	0.0513201	−	0.224848i
$134$	−238.997	+	299.692i	−0.154076	+	0.193205i
$135$	−977.785	+	470.876i	−0.623365	+	0.300197i
$136$	289.889	+	1270.09i	0.182778	+	0.800802i
$137$	541.163	−	2370.99i	0.337480	−	1.47859i	−0.466810	−	0.884358i	$-0.654597\pi$
$137$	541.163	−	2370.99i	0.337480	−	1.47859i	0.804290	−	0.594237i	$-0.202546\pi$
$138$	73.3511	+	321.372i	0.0452468	+	0.198239i
$139$	940.567	+	1953.11i	0.573941	+	1.19180i	0.962727	+	0.270474i	$0.0871803\pi$
$139$	940.567	+	1953.11i	0.573941	+	1.19180i	−0.388786	+	0.921328i	$0.627105\pi$
$140$	876.098	+	199.964i	0.528884	+	0.120714i
$141$	−284.798	−	591.390i	−0.170102	−	0.353220i
$142$	−168.340	+	737.545i	−0.0994843	+	0.435869i
$143$	−2926.24	−	1409.20i	−1.71122	−	0.824080i
$144$	1761.81	−	848.445i	1.01957	−	0.490998i
$145$	−2695.26	−	615.175i	−1.54365	−	0.352328i
$146$	1211.96	−	1519.75i	0.687003	−	0.861475i
$147$	127.290	+	101.511i	0.0714199	+	0.0569555i
$148$	−1705.95	−	821.541i	−0.947487	−	0.456286i
$149$	1703.47	−	1358.47i	0.936599	−	0.746913i	−0.0309696	−	0.999520i	$-0.509860\pi$
$149$	1703.47	−	1358.47i	0.936599	−	0.746913i	0.967569	+	0.252607i	$0.0812881\pi$
$150$	179.344	+	224.891i	0.0976227	+	0.122415i
$151$	−862.829	−	1791.68i	−0.465007	−	0.965597i	−0.993194	−	0.116469i	$-0.962842\pi$
$151$	−862.829	−	1791.68i	−0.465007	−	0.965597i	0.528188	−	0.849128i	$-0.322872\pi$
$152$	−228.181	+	181.968i	−0.121763	+	0.0971026i
$153$	1949.55	−	1554.71i	1.03014	−	0.821510i
$154$	−733.936	−	3215.59i	−0.384041	−	1.68259i
$155$	412.815	−	1808.66i	0.213923	−	0.937258i
$156$	−334.651	−	161.159i	−0.171753	−	0.0827120i
$157$	21.1710	+	92.7561i	0.0107620	+	0.0471513i	0.980024	−	0.198880i	$-0.0637305\pi$
$157$	21.1710	+	92.7561i	0.0107620	+	0.0471513i	−0.969262	+	0.246031i	$0.920873\pi$
$158$	416.603	+	522.404i	0.209767	+	0.263039i
$159$	330.082	−	75.3391i	0.164637	−	0.0375772i
$160$	−1478.75	−	1854.29i	−0.730657	−	0.916215i
$161$	916.276			0.448526
$162$	−1461.00	−	1165.11i	−0.708564	−	0.565061i
$163$	492.183	−	2156.40i	0.236508	−	1.03621i	−0.707611	−	0.706603i	$-0.750227\pi$
$163$	492.183	−	2156.40i	0.236508	−	1.03621i	0.944119	−	0.329606i	$-0.106916\pi$
$164$	−1311.39			−0.624407
$165$	553.406	−	1149.16i	0.261107	−	0.542193i
$166$	772.577	−	176.336i	0.361227	−	0.0824476i
$167$	−1690.17	+	3509.67i	−0.783168	+	1.62626i	−0.00356204	+	0.999994i	$0.501134\pi$
$167$	−1690.17	+	3509.67i	−0.783168	+	1.62626i	−0.779606	+	0.626271i	$0.784580\pi$
$168$	70.0050	+	306.712i	0.0321488	+	0.140853i
$169$	152.276	+	667.163i	0.0693107	+	0.303670i
$170$	−3720.19	−	2966.75i	−1.67839	−	1.33847i
$171$	503.311	+	242.382i	0.225083	+	0.108394i
$172$	−485.777	−	609.145i	−0.215350	−	0.270040i
$173$	2087.99	−	1005.53i	0.917615	−	0.441900i	0.0853957	−	0.996347i	$-0.472785\pi$
$173$	2087.99	−	1005.53i	0.917615	−	0.441900i	0.832219	+	0.554447i	$0.187070\pi$
$174$	258.219	+	1131.33i	0.112503	+	0.492908i
$175$	720.375	−	346.914i	0.311173	−	0.149853i
$176$	−2096.80	+	4354.04i	−0.898022	+	1.86476i
$177$			530.408i			0.225243i
$178$	2595.15			1.09278
$179$	3129.73	+	714.340i	1.30685	+	0.298281i	0.818571	−	0.574405i	$-0.194767\pi$
$179$	3129.73	+	714.340i	1.30685	+	0.298281i	0.488282	+	0.872686i	$0.337624\pi$
$180$	−615.724	+	1278.56i	−0.254963	+	0.529436i
$181$	−522.316	+	654.963i	−0.214494	+	0.268967i	−0.877425	−	0.479713i	$-0.840741\pi$
$181$	−522.316	+	654.963i	−0.214494	+	0.268967i	0.662931	+	0.748680i	$0.269312\pi$
$182$	−1824.35	+	2287.66i	−0.743021	+	0.931719i
$183$		−	529.062i		−	0.213713i
$184$	−591.034	−	471.334i	−0.236802	−	0.188843i
$185$	−5623.52	+	1283.53i	−2.23486	+	0.510093i
$186$	−759.182	+	173.278i	−0.299279	+	0.0683085i
$187$	−1371.27	+	6007.94i	−0.536243	+	2.34943i
$188$	−1626.10	−	783.090i	−0.630829	−	0.303791i
$189$	989.979	−	789.482i	0.381007	−	0.303843i
$190$	237.208	−	1039.27i	0.0905729	−	0.396826i
$191$	3638.78			1.37850			0.689249	−	0.724524i	$-0.257941\pi$
$191$	3638.78			1.37850			0.689249	+	0.724524i	$0.257941\pi$
$192$	7.84881	−	16.2982i	0.00295020	−	0.00612616i
$193$	−3592.07	+	1729.85i	−1.33970	+	0.645167i	−0.960015	−	0.279947i	$-0.909683\pi$
$193$	−3592.07	+	1729.85i	−1.33970	+	0.645167i	−0.379688	+	0.925115i	$0.623969\pi$
$194$	−330.702	−	75.4805i	−0.122387	−	0.0279339i
$195$	−1103.15	+	251.787i	−0.405119	+	0.0924657i
$196$	447.669			0.163145
$197$	1671.23	+	2202.81i	0.604416	+	0.796669i
$197$	1671.23	+	2202.81i	0.604416	+	0.796669i
$198$	5208.59			1.86949
$199$	3974.77	−	907.216i	1.41590	−	0.323170i	0.554960	−	0.831877i	$-0.312733\pi$
$199$	3974.77	−	907.216i	1.41590	−	0.323170i	0.860940	+	0.508707i	$0.169876\pi$
$200$	−643.123	−	146.789i	−0.227378	−	0.0518976i
$201$	155.824	−	75.0409i	0.0546815	−	0.0263332i
$202$	2762.63	−	5736.67i	0.962269	−	1.99817i
$203$	3225.58			1.11523
$204$	−156.821	+	687.080i	−0.0538221	+	0.235810i
$205$	−3123.39	+	2490.82i	−1.06413	+	0.848617i
$206$	−2732.47	−	1315.89i	−0.924175	−	0.445059i
$207$	−321.981	+	1410.69i	−0.108112	+	0.473670i
$208$	4179.71	−	953.992i	1.39332	−	0.318017i
$209$	−1345.96	+	307.206i	−0.445463	+	0.101674i
$210$	−898.385	−	716.438i	−0.295212	−	0.235423i
$211$		−	4390.47i		−	1.43247i	−0.697857	−	0.716237i	$-0.745863\pi$
$211$		−	4390.47i		−	1.43247i	0.697857	−	0.716237i	$-0.254137\pi$
$212$	580.435	−	727.842i	0.188040	−	0.235794i
$213$	212.818	−	266.865i	0.0684603	−	0.0858465i
$214$	698.606	−	1450.67i	0.223157	−	0.463391i
$215$	−2313.98	−	528.151i	−0.734010	−	0.167533i
$216$	−1044.69			−0.329083
$217$			2164.53i			0.677133i
$218$	−889.292	+	1846.63i	−0.276286	+	0.573715i
$219$	−790.189	+	380.535i	−0.243817	+	0.117416i
$220$	−780.397	−	3419.14i	−0.239156	−	1.04781i
$221$	4925.54	−	2372.02i	1.49922	−	0.721987i
$222$	1509.57	+	1892.95i	0.456378	+	0.572280i
$223$	−3806.39	−	1833.06i	−1.14303	−	0.550452i	−0.236094	−	0.971730i	$-0.575867\pi$
$223$	−3806.39	−	1833.06i	−1.14303	−	0.550452i	−0.906932	+	0.421278i	$0.861582\pi$
$224$	2163.50	+	1725.33i	0.645335	+	0.514637i
$225$	280.965	+	1230.99i	0.0832488	+	0.364737i
$226$	−210.919	−	924.098i	−0.0620803	−	0.271992i
$227$	−2633.74	+	5469.03i	−0.770078	+	1.59908i	0.0302653	+	0.999542i	$0.490365\pi$
$227$	−2633.74	+	5469.03i	−0.770078	+	1.59908i	−0.800343	+	0.599542i	$0.795349\pi$
$228$	−153.926	+	35.1327i	−0.0447106	+	0.0102049i
$229$	−225.133	+	467.494i	−0.0649661	+	0.134903i	−0.930923	−	0.365214i	$-0.880996\pi$
$229$	−225.133	+	467.494i	−0.0649661	+	0.134903i	0.865957	+	0.500118i	$0.166710\pi$
$230$	2761.15			0.791587
$231$	−331.147	+	1450.85i	−0.0943198	+	0.413242i
$232$	−2080.62	−	1659.24i	−0.588791	−	0.469545i
$233$	2487.49			0.699404			0.349702	−	0.936861i	$-0.386283\pi$
$233$	2487.49			0.699404			0.349702	+	0.936861i	$0.386283\pi$
$234$	−2880.98	−	3612.64i	−0.804853	−	1.00925i
$235$	−5360.32	+	1223.46i	−1.48795	+	0.339616i
$236$	909.314	+	1140.24i	0.250811	+	0.314507i
$237$	−67.0852	−	293.919i	−0.0183867	−	0.0805575i
$238$	5001.97	+	2408.82i	1.36231	+	0.656054i
$239$	−1204.87	+	5278.87i	−0.326093	+	1.42871i	0.500416	+	0.865785i	$0.333181\pi$
$239$	−1204.87	+	5278.87i	−0.326093	+	1.42871i	−0.826509	+	0.562924i	$0.809677\pi$
$240$	374.641	+	1641.41i	0.100762	+	0.441469i
$241$	1478.88	−	1179.36i	0.395281	−	0.315226i	−0.405599	−	0.914051i	$-0.632937\pi$
$241$	1478.88	−	1179.36i	0.395281	−	0.315226i	0.800880	+	0.598825i	$0.204366\pi$
$242$	−6405.11	+	5107.91i	−1.70139	+	1.35681i
$243$	1322.60	+	2746.41i	0.349156	+	0.725030i
$244$	−907.007	−	1137.35i	−0.237972	−	0.298407i
$245$	1066.23	−	850.288i	0.278036	−	0.221726i
$246$	1510.82	+	727.572i	0.391570	+	0.188570i
$247$	957.554	+	763.624i	0.246671	+	0.196713i
$248$	1113.44	−	1396.21i	0.285094	−	0.357497i
$249$	−348.582	−	79.5615i	−0.0887167	−	0.0202490i
$250$	−3090.85	+	1488.48i	−0.781931	+	0.376558i
$251$	2571.12	+	1238.19i	0.646566	+	0.311370i	0.728273	−	0.685287i	$-0.240323\pi$
$251$	2571.12	+	1238.19i	0.646566	+	0.311370i	−0.0817078	+	0.996656i	$0.526037\pi$
$252$	368.437	−	1614.23i	0.0921005	−	0.403519i
$253$	−1551.55	−	3221.82i	−0.385553	−	0.800608i
$254$	5256.10	+	1199.67i	1.29841	+	0.296354i
$255$	931.511	+	1934.30i	0.228759	+	0.475022i
$256$	−1128.21	−	4943.01i	−0.275442	−	1.20679i
$257$	−83.4756	+	365.731i	−0.0202610	+	0.0887690i	−0.984048	−	0.177906i	$-0.943068\pi$
$257$	−83.4756	+	365.731i	−0.0202610	+	0.0887690i	0.963787	+	0.266675i	$0.0859249\pi$
$258$	221.690	+	971.290i	0.0534955	+	0.234379i
$259$	6063.52	−	2920.04i	1.45471	−	0.700550i
$260$	−1939.84	+	2432.48i	−0.462707	+	0.580216i
$261$	−1133.47	+	4966.06i	−0.268813	+	1.17775i
$262$	−1928.96	+	928.936i	−0.454852	+	0.219045i
$263$	1932.36	−	441.050i	0.453060	−	0.103408i	0.0100991	−	0.999949i	$-0.496785\pi$
$263$	1932.36	−	441.050i	0.453060	−	0.103408i	0.442961	+	0.896541i	$0.353928\pi$
$264$	959.922	−	765.512i	0.223785	−	0.178462i
$265$		−	2835.98i		−	0.657408i
$266$			1243.76i			0.286692i
$267$	−1054.95	−	508.039i	−0.241806	−	0.116448i
$268$	206.335	−	428.459i	0.0470295	−	0.0976577i
$269$	−3952.54	+	902.142i	−0.895877	+	0.204478i	−0.645581	−	0.763692i	$-0.723385\pi$
$269$	−3952.54	+	902.142i	−0.895877	+	0.204478i	−0.250295	+	0.968170i	$0.580528\pi$
$270$	2983.25	−	2379.06i	0.672426	−	0.536242i
$271$	−971.583	−	774.811i	−0.217784	−	0.173677i	0.508521	−	0.861050i	$-0.330192\pi$
$271$	−971.583	−	774.811i	−0.217784	−	0.173677i	−0.726305	+	0.687373i	$0.758764\pi$
$272$	−3529.39	−	7328.86i	−0.786768	−	1.63374i
$273$	1189.46	−	572.815i	0.263698	−	0.126990i
$274$			8550.69i			1.88528i
$275$	−2439.65	−	1945.55i	−0.534968	−	0.426623i
$276$	−177.438	−	368.453i	−0.0386975	−	0.0803561i
$277$	3337.77	+	6930.96i	0.723998	+	1.50340i	0.858682	+	0.512508i	$0.171284\pi$
$277$	3337.77	+	6930.96i	0.723998	+	1.50340i	−0.134685	+	0.990889i	$0.543002\pi$
$278$	−4752.14	−	5958.99i	−1.02523	−	1.28560i
$279$	−3332.49	−	760.619i	−0.715093	−	0.163215i
$280$	2635.19			0.562439
$281$		−	6354.54i		−	1.34904i	−0.738257	−	0.674519i	$-0.764351\pi$
$281$		−	6354.54i		−	1.34904i	0.738257	−	0.674519i	$-0.235649\pi$
$282$	1438.92	+	1804.35i	0.303853	+	0.381019i
$283$	−1776.02	−	3687.95i	−0.373051	−	0.774649i	0.626939	−	0.779068i	$-0.284308\pi$
$283$	−1776.02	−	3687.95i	−0.373051	−	0.774649i	−0.999990	+	0.00441926i	$0.998593\pi$
$284$		−	938.541i		−	0.196099i
$285$	−299.881	+	376.039i	−0.0623279	+	0.0781567i
$286$	11133.1	+	2541.06i	2.30180	+	0.525370i
$287$	2906.18	−	3644.23i	0.597722	−	0.749520i
$288$	−3416.56	+	2724.62i	−0.699038	+	0.557464i
$289$	−3404.14	−	4268.66i	−0.692885	−	0.868850i
$290$	9720.11			1.96822
$291$	119.657	+	95.4236i	0.0241046	+	0.0192228i
$292$	−1046.33	+	2172.73i	−0.209698	+	0.435443i
$293$	5049.30	−	6331.62i	1.00677	−	1.26245i	0.0420626	−	0.999115i	$-0.486607\pi$
$293$	5049.30	−	6331.62i	1.00677	−	1.26245i	0.964705	−	0.263332i	$-0.0848214\pi$
$294$	−515.745	−	248.370i	−0.102309	−	0.0492695i
$295$	4331.49	+	988.634i	0.854878	+	0.195120i
$296$	−5413.28	−	1235.55i	−1.06298	−	0.242617i
$297$	−4452.33	−	2144.13i	−0.869867	−	0.418906i
$298$	−4776.31	+	5989.31i	−0.928471	+	1.16427i
$299$	−1376.44	+	2858.20i	−0.266225	+	0.552822i
$300$	−279.003	−	222.497i	−0.0536941	−	0.0428196i
$301$	2769.28			0.530294
$302$	4359.37	+	5466.48i	0.830642	+	1.04159i
$303$	−2246.08	+	1791.19i	−0.425855	+	0.339608i
$304$	1136.22	−	1424.77i	0.214364	−	0.268804i
$305$	−4320.49	−	986.125i	−0.811117	−	0.185132i
$306$	−5466.30	+	6854.52i	−1.02120	+	1.28055i
$307$			4607.93i			0.856639i	0.903627	+	0.428320i	$0.140894\pi$
$307$			4607.93i			0.856639i	−0.903627	+	0.428320i	$0.859106\pi$
$308$	1775.41	+	3686.67i	0.328452	+	0.682037i
$309$	853.173	+	1069.84i	0.157072	+	0.196962i
$310$			6522.71i			1.19505i
$311$	4574.77			0.834121			0.417060	−	0.908879i	$-0.363060\pi$
$311$	4574.77			0.834121			0.417060	+	0.908879i	$0.363060\pi$
$312$	−1061.91	−	242.373i	−0.192688	−	0.0439798i
$313$	−1881.23	−	2358.99i	−0.339724	−	0.426000i	0.582396	−	0.812906i	$-0.302115\pi$
$313$	−1881.23	−	2358.99i	−0.339724	−	0.426000i	−0.922119	+	0.386905i	$0.873544\pi$
$314$	−145.140	−	301.386i	−0.0260851	−	0.0541663i
$315$	−2188.49	−	4544.45i	−0.391453	−	0.812860i
$316$	−648.102	−	516.844i	−0.115375	−	0.0920087i
$317$		−	1997.02i		−	0.353829i	−0.984226	−	0.176914i	$-0.943388\pi$
$317$		−	1997.02i		−	0.353829i	0.984226	−	0.176914i	$-0.0566115\pi$
$318$	−1072.51	+	516.495i	−0.189131	+	0.0910805i
$319$	−5461.92	−	11341.8i	−0.958648	−	1.99065i
$320$	−118.467	−	94.4744i	−0.0206954	−	0.0165040i
$321$	−567.982	+	452.950i	−0.0987590	+	0.0787577i
$322$	−3140.81	+	716.871i	−0.543574	+	0.124067i
$323$	1008.27	−	2093.69i	0.173689	−	0.360669i
$324$	2088.74	+	1005.89i	0.358152	+	0.172477i
$325$			2768.25i			0.472476i
$326$			7776.78i			1.32121i
$327$	723.013	−	576.584i	0.122271	−	0.0975082i
$328$	−3749.20	+	855.729i	−0.631142	+	0.144054i
$329$	5779.73	−	2783.37i	0.968532	−	0.466420i
$330$	−997.895	+	4372.06i	−0.166462	+	0.729316i
$331$	1333.29	−	1671.89i	0.221402	−	0.277630i	−0.658708	−	0.752398i	$-0.728897\pi$
$331$	1333.29	−	1671.89i	0.221402	−	0.277630i	0.880111	+	0.474769i	$0.157468\pi$
$332$	−885.760	+	426.560i	−0.146423	+	0.0705136i
$333$	2364.93	+	10361.4i	0.389181	+	1.70512i
$334$	3047.69	−	13352.8i	0.499287	−	2.18752i
$335$	−322.366	−	1412.38i	−0.0525754	−	0.230348i
$336$	−852.309	−	1769.84i	−0.138385	−	0.287359i
$337$	7100.80	+	1620.71i	1.14779	+	0.261975i	0.753777	−	0.657130i	$-0.228230\pi$
$337$	7100.80	+	1620.71i	1.14779	+	0.261975i	0.394012	+	0.919105i	$0.371087\pi$
$338$	−1043.94	−	2167.77i	−0.167997	−	0.348849i
$339$	−95.1654	+	416.947i	−0.0152468	+	0.0668007i
$340$	5318.62	+	2561.31i	0.848360	+	0.408549i
$341$	7610.94	−	3665.24i	1.20867	−	0.582064i
$342$	−1914.88	−	437.059i	−0.302763	−	0.0691037i
$343$	−4307.69	+	5401.67i	−0.678114	+	0.850328i
$344$	−1786.29	−	1424.52i	−0.279972	−	0.223270i
$345$	−1122.44	−	540.538i	−0.175160	−	0.0843524i
$346$	−6370.54	+	5080.34i	−0.989833	+	0.789366i
$347$	3390.46	+	4251.50i	0.524523	+	0.657731i	0.971562	−	0.236783i	$-0.0760932\pi$
$347$	3390.46	+	4251.50i	0.524523	+	0.657731i	−0.447040	+	0.894514i	$0.647522\pi$
$348$	−624.636	−	1297.07i	−0.0962184	−	0.199800i
$349$	8152.79	−	6501.63i	1.25046	−	0.997205i	0.250881	−	0.968018i	$-0.419280\pi$
$349$	8152.79	−	6501.63i	1.25046	−	0.997205i	0.999574	−	0.0291867i	$-0.00929172\pi$
$350$	−2197.89	+	1752.76i	−0.335663	+	0.267682i
$351$	975.528	+	4274.07i	0.148347	+	0.649951i
$352$	2403.14	−	10528.9i	0.363886	−	1.59429i
$353$	6349.57	+	3057.79i	0.957376	+	0.461048i	0.846266	−	0.532760i	$-0.178845\pi$
$353$	6349.57	+	3057.79i	0.957376	+	0.461048i	0.111109	+	0.993808i	$0.464560\pi$
$354$	−414.977	−	1818.14i	−0.0623045	−	0.272974i
$355$	−1782.63	−	2235.35i	−0.266514	−	0.334198i
$356$	−3138.85	+	716.423i	−0.467300	+	0.106658i
$357$	−1561.79	−	1958.43i	−0.231537	−	0.290339i
$358$	−11287.0			−1.66630
$359$	1821.78	+	1452.82i	0.267828	+	0.213585i	0.748190	−	0.663485i	$-0.230923\pi$
$359$	1821.78	+	1452.82i	0.267828	+	0.213585i	−0.480362	+	0.877070i	$0.659495\pi$
$360$	−926.010	+	4057.11i	−0.135569	+	0.593969i
$361$	−6338.39			−0.924099
$362$	1277.97	−	2653.73i	0.185549	−	0.385296i
$363$	3603.70	−	822.521i	0.521061	−	0.118929i
$364$	1575.03	−	3270.59i	0.226797	−	0.470949i
$365$	1634.73	+	7162.23i	0.234427	+	1.02709i
$366$	413.924	+	1813.52i	0.0591152	+	0.259001i
$367$	−2206.56	−	1759.67i	−0.313846	−	0.250284i	0.453879	−	0.891063i	$-0.350040\pi$
$367$	−2206.56	−	1759.67i	−0.313846	−	0.250284i	−0.767725	+	0.640779i	$0.778611\pi$
$368$	4252.80	+	2048.04i	0.602425	+	0.290113i
$369$	4589.38	+	5754.91i	0.647463	+	0.811893i
$370$	18272.1	−	8799.39i	2.56736	−	1.23637i
$371$	736.299	+	3225.94i	0.103037	+	0.451435i
$372$	870.402	−	419.164i	0.121313	−	0.0584210i
$373$	−5745.00	+	11929.6i	−0.797493	+	1.65601i	−0.0435680	+	0.999050i	$0.513873\pi$
$373$	−5745.00	+	11929.6i	−0.797493	+	1.65601i	−0.753925	+	0.656961i	$0.771842\pi$
$374$		−	21666.9i		−	2.99564i
$375$	1547.86			0.213149
$376$	−5159.92	−	1177.72i	−0.707720	−	0.161532i
$377$	−4845.48	+	10061.7i	−0.661949	+	1.37455i
$378$	−2775.78	+	3480.72i	−0.377701	+	0.473622i
$379$	−4821.75	+	6046.28i	−0.653501	+	0.819464i	−0.992618	−	0.121280i	$-0.961300\pi$
$379$	−4821.75	+	6046.28i	−0.653501	+	0.819464i	0.339118	+	0.940744i	$0.389871\pi$
$380$			1322.50i			0.178533i
$381$	−1901.81	−	1516.64i	−0.255728	−	0.203937i
$382$	−12473.0	+	2846.89i	−1.67062	+	0.381308i
$383$	−14365.6	+	3278.86i	−1.91658	+	0.437446i	−0.917353	+	0.398074i	$0.869679\pi$
$383$	−14365.6	+	3278.86i	−1.91658	+	0.437446i	−0.999225	+	0.0393727i	$0.987464\pi$
$384$	−518.200	+	2270.38i	−0.0688653	+	0.301718i
$385$	11230.9	+	5408.51i	1.48670	+	0.715956i
$386$	10959.5	−	8739.92i	1.44514	−	1.15246i
$387$	−973.128	+	4263.55i	−0.127821	+	0.560022i
$388$	420.824			0.0550622
$389$	3285.59	−	6822.59i	0.428241	−	0.889252i	−0.569494	−	0.821995i	$-0.692861\pi$
$389$	3285.59	−	6822.59i	0.428241	−	0.889252i	0.997736	−	0.0672571i	$-0.0214248\pi$
$390$	3584.39	−	1726.15i	0.465391	−	0.224121i
$391$	5868.24	+	1339.39i	0.759001	+	0.173237i
$392$	1279.86	−	292.119i	0.164904	−	0.0376384i
$393$	965.995			0.123990
$394$	−7452.06	−	6243.28i	−0.952866	−	0.798304i
$395$	−2525.28			−0.321673
$396$	−6299.84	+	1437.90i	−0.799441	+	0.182467i
$397$	2134.30	+	487.140i	0.269817	+	0.0615840i	0.355289	−	0.934757i	$-0.384383\pi$
$397$	2134.30	+	487.140i	0.269817	+	0.0615840i	−0.0854716	+	0.996341i	$0.527240\pi$
$398$	−12915.0	+	6219.52i	−1.62655	+	0.783307i
$399$	243.486	−	505.603i	0.0305502	−	0.0634381i
$400$	4118.96			0.514870
$401$	850.005	−	3724.12i	0.105853	−	0.463774i	−0.894022	−	0.448022i	$-0.852129\pi$
$401$	850.005	−	3724.12i	0.105853	−	0.463774i	0.999876	−	0.0157522i	$-0.00501429\pi$
$402$	−475.424	+	379.138i	−0.0589851	+	0.0470390i
$403$	−6751.96	−	3251.57i	−0.834588	−	0.401916i
$404$	−1757.75	+	7701.22i	−0.216464	+	0.948391i
$405$	6885.38	−	1571.54i	0.844783	−	0.192816i
$406$	−11056.6	+	2523.61i	−1.35156	+	0.308484i
$407$	−20534.9	−	16376.1i	−2.50093	−	1.99443i
$408$			2066.65i			0.250771i
$409$	8206.47	−	10290.6i	0.992137	−	1.24410i	0.0224505	−	0.999748i	$-0.492853\pi$
$409$	8206.47	−	10290.6i	0.992137	−	1.24410i	0.969686	−	0.244353i	$-0.0785754\pi$
$410$	8757.62	−	10981.7i	1.05490	−	1.32280i
$411$	1673.93	−	3475.95i	0.200897	−	0.417167i
$412$	3668.21	+	837.246i	0.438641	+	0.100117i
$413$	−5183.75			−0.617617
$414$		−	5087.47i		−	0.603951i
$415$	−1299.45	+	2698.34i	−0.153705	+	0.319171i
$416$	−8631.96	+	4156.94i	−1.01735	+	0.489929i
$417$	765.232	+	3352.70i	0.0898647	+	0.393723i
$418$	4373.33	−	2106.08i	0.511738	−	0.246440i
$419$	3365.88	+	4220.68i	0.392444	+	0.492110i	0.938326	−	0.345753i	$-0.112376\pi$
$419$	3365.88	+	4220.68i	0.392444	+	0.492110i	−0.545881	+	0.837863i	$0.683805\pi$
$420$	1284.39	+	618.528i	0.149218	+	0.0718597i
$421$	−4707.89	−	3754.41i	−0.545008	−	0.434629i	0.311888	−	0.950119i	$-0.399039\pi$
$421$	−4707.89	−	3754.41i	−0.545008	−	0.434629i	−0.856896	+	0.515490i	$0.827610\pi$
$422$	3434.98	+	15049.7i	0.396238	+	1.73603i
$423$	2254.25	+	9876.49i	0.259114	+	1.13525i
$424$	1184.49	−	2459.61i	0.135669	−	0.281720i
$425$	5120.71	−	1168.77i	0.584449	−	0.133397i
$426$	−520.709	+	1081.26i	−0.0592217	+	0.122975i
$427$	5170.59			0.586001
$428$	−444.495	+	1947.46i	−0.0501997	+	0.219939i
$429$	−4028.28	−	3212.44i	−0.453350	−	0.361534i
$430$	8345.08			0.935897
$431$	−6904.14	−	8657.52i	−0.771603	−	0.967560i	0.228379	−	0.973572i	$-0.426658\pi$
$431$	−6904.14	−	8657.52i	−0.771603	−	0.967560i	−0.999982	+	0.00601274i	$0.998086\pi$
$432$	6359.51	−	1451.52i	0.708269	−	0.161658i
$433$	5904.36	+	7403.83i	0.655301	+	0.821721i	0.992823	−	0.119597i	$-0.0381601\pi$
$433$	5904.36	+	7403.83i	0.655301	+	0.821721i	−0.337522	+	0.941318i	$0.609589\pi$
$434$	−1693.47	−	7419.59i	−0.187303	−	0.820626i
$435$	−3951.33	−	1902.86i	−0.435521	−	0.209736i
$436$	565.820	−	2479.02i	0.0621511	−	0.272302i
$437$	300.063	+	1314.66i	0.0328465	+	0.143910i
$438$	2410.89	−	1922.62i	0.263007	−	0.209741i
$439$	9500.08	−	7576.06i	1.03283	−	0.823658i	0.0482967	−	0.998833i	$-0.484621\pi$
$439$	9500.08	−	7576.06i	1.03283	−	0.823658i	0.984537	+	0.175175i	$0.0560493\pi$
$440$	−4462.22	−	9265.89i	−0.483472	−	1.00394i
$441$	−1566.67	−	1964.54i	−0.169169	−	0.212131i
$442$	−15028.0	+	11984.4i	−1.61721	+	1.28969i
$443$	−6743.89	−	3247.69i	−0.723277	−	0.348312i	0.0357589	−	0.999360i	$-0.488615\pi$
$443$	−6743.89	−	3247.69i	−0.723277	−	0.348312i	−0.759036	+	0.651049i	$0.774329\pi$
$444$	−2348.42	−	1872.80i	−0.251015	−	0.200178i
$445$	−6115.16	+	7668.17i	−0.651430	+	0.816867i
$446$	14481.7	+	3305.35i	1.53751	+	0.350926i
$447$	3114.12	−	1499.68i	0.329514	−	0.158686i
$448$	159.285	+	76.7075i	0.0167980	+	0.00808948i
$449$	−419.789	+	1839.22i	−0.0441227	+	0.193314i	−0.992186	−	0.124768i	$-0.960181\pi$
$449$	−419.789	+	1839.22i	−0.0441227	+	0.193314i	0.948063	+	0.318082i	$0.103039\pi$
$450$	−1926.18	−	3999.76i	−0.201780	−	0.419001i
$451$	−17735.0	−	4047.89i	−1.85168	−	0.422633i
$452$	510.218	+	1059.48i	0.0530944	+	0.110252i
$453$	−701.985	−	3075.60i	−0.0728083	−	0.318994i
$454$	4749.13	−	20807.3i	0.490943	−	2.15096i
$455$	−2460.74	−	10781.2i	−0.253542	−	1.11084i
$456$	−417.141	+	200.884i	−0.0428386	+	0.0206300i
$457$	7693.87	−	9647.81i	0.787536	−	0.987539i	−0.212410	−	0.977181i	$-0.568131\pi$
$457$	7693.87	−	9647.81i	0.787536	−	0.987539i	0.999946	−	0.0103586i	$-0.00329729\pi$
$458$	405.958	−	1778.62i	0.0414174	−	0.181461i
$459$	7494.31	−	3609.07i	0.762101	−	0.367008i
$460$	−3339.64	+	762.251i	−0.338503	+	0.0772612i
$461$	−4696.08	+	3745.00i	−0.474443	+	0.378356i	−0.831319	−	0.555796i	$-0.812413\pi$
$461$	−4696.08	+	3745.00i	−0.474443	+	0.378356i	0.356875	+	0.934152i	$0.383842\pi$
$462$		−	5232.31i		−	0.526903i
$463$		−	6281.33i		−	0.630493i	−0.949010	−	0.315246i	$-0.897913\pi$
$463$		−	6281.33i		−	0.630493i	0.949010	−	0.315246i	$-0.102087\pi$
$464$	14971.2	+	7209.73i	1.49789	+	0.721344i
$465$	1276.92	−	2651.55i	0.127346	−	0.264436i
$466$	−8526.64	+	1946.15i	−0.847616	+	0.193463i
$467$	−5090.98	+	4059.92i	−0.504459	+	0.402293i	−0.842382	−	0.538881i	$-0.818847\pi$
$467$	−5090.98	+	4059.92i	−0.504459	+	0.402293i	0.337923	+	0.941174i	$0.390276\pi$
$468$	4481.89	+	3574.19i	0.442683	+	0.353028i
$469$	733.385	+	1522.89i	0.0722059	+	0.149937i
$470$	17416.9	−	8387.55i	1.70933	−	0.823168i
$471$			150.930i			0.0147654i
$472$	3343.72	+	2666.53i	0.326075	+	0.260036i
$473$	−4689.26	−	9737.36i	−0.455841	−	0.946563i
$474$	459.910	+	955.012i	0.0445661	+	0.0925426i
$475$	733.656	+	919.976i	0.0708683	+	0.0888661i
$476$	−6714.92	−	1532.64i	−0.646592	−	0.147580i
$477$	−5225.35			−0.501578
$478$		−	19037.6i		−	1.82167i
$479$	−2680.69	−	3361.48i	−0.255707	−	0.320647i	0.637363	−	0.770564i	$-0.280025\pi$
$479$	−2680.69	−	3361.48i	−0.255707	−	0.320647i	−0.893071	+	0.449917i	$0.851454\pi$
$480$	−1632.46	−	3389.85i	−0.155232	−	0.322343i
$481$			23300.8i			2.20879i
$482$	−4146.59	+	5199.66i	−0.391851	+	0.491365i
$483$	1417.11	+	323.447i	0.133501	+	0.0304707i
$484$	6336.94	−	7946.28i	0.595130	−	0.746269i
$485$	1002.29	−	799.301i	0.0938386	−	0.0748338i
$486$	−6682.34	−	8379.39i	−0.623698	−	0.782092i
$487$	1278.02			0.118917			0.0594585	−	0.998231i	$-0.481063\pi$
$487$	1278.02			0.118917			0.0594585	+	0.998231i	$0.481063\pi$
$488$	−3335.24	−	2659.76i	−0.309383	−	0.246725i
$489$	1522.42	−	3161.34i	0.140790	−	0.292354i
$490$	−2989.57	+	3748.81i	−0.275623	+	0.345620i
$491$	−2323.44	−	1118.91i	−0.213555	−	0.102842i	0.324049	−	0.946040i	$-0.394956\pi$
$491$	−2323.44	−	1118.91i	−0.213555	−	0.102842i	−0.537603	+	0.843198i	$0.680670\pi$
$492$	−2028.20	−	462.924i	−0.185851	−	0.0424192i
$493$	20658.0	+	4715.06i	1.88720	+	0.430741i
$494$	−3879.75	−	1868.39i	−0.353356	−	0.170167i
$495$	−12273.4	+	15390.4i	−1.11444	+	1.39747i
$496$	−4838.11	+	10046.4i	−0.437979	+	0.909473i
$497$	2608.11	+	2079.90i	0.235392	+	0.187719i
$498$	1257.12			0.113118
$499$	5679.44	+	7121.80i	0.509513	+	0.638909i	0.968345	−	0.249614i	$-0.0803037\pi$
$499$	5679.44	+	7121.80i	0.509513	+	0.638909i	−0.458833	+	0.888523i	$0.651732\pi$
$500$	3327.51	−	2653.60i	0.297621	−	0.237345i
$501$	−3852.93	+	4831.42i	−0.343585	+	0.430842i
$502$	−9782.04	−	2232.69i	−0.869709	−	0.198505i
$503$	8454.16	−	10601.2i	0.749408	−	0.939728i	−0.250187	−	0.968198i	$-0.580492\pi$
$503$	8454.16	−	10601.2i	0.749408	−	0.939728i	0.999595	+	0.0284698i	$0.00906345\pi$
$504$		−	4855.39i		−	0.429120i
$505$	10441.0	+	21680.9i	0.920032	+	1.91047i
$506$	7839.06	+	9829.87i	0.688713	+	0.863618i
$507$			1085.59i			0.0950941i
$508$	−6688.49			−0.584161
$509$	15003.2	+	3424.39i	1.30650	+	0.298199i	0.818429	−	0.574608i	$-0.194845\pi$
$509$	15003.2	+	3424.39i	1.30650	+	0.298199i	0.488066	+	0.872807i	$0.337702\pi$
$510$	−4706.38	−	5901.62i	−0.408632	−	0.512408i
$511$	−3719.02	−	7722.62i	−0.321956	−	0.668549i
$512$	2639.10	+	5480.15i	0.227799	+	0.473029i
$513$	1456.94	+	1161.87i	0.125390	+	0.0999956i
$514$		−	1318.96i		−	0.113185i
$515$	10326.9	−	4973.19i	0.883611	−	0.425524i
$516$	−536.274	−	1113.58i	−0.0457522	−	0.0950054i
$517$	−19573.8	−	15609.6i	−1.66510	−	1.32787i
$518$	−18500.0	+	14753.3i	−1.56920	+	1.25139i
$519$	3584.25	−	818.081i	0.303143	−	0.0691903i
$520$	−3958.60	+	8220.12i	−0.333839	+	0.693224i
$521$	7555.36	+	3638.47i	0.635329	+	0.305958i	0.723685	−	0.690131i	$-0.242447\pi$
$521$	7555.36	+	3638.47i	0.635329	+	0.305958i	−0.0883561	+	0.996089i	$0.528161\pi$
$522$		−	17909.5i		−	1.50168i
$523$		−	11634.1i		−	0.972702i	−0.873763	−	0.486351i	$-0.838328\pi$
$523$		−	11634.1i		−	0.972702i	0.873763	−	0.486351i	$-0.161672\pi$
$524$	2076.65	−	1656.07i	0.173127	−	0.138064i
$525$	1236.59	−	282.245i	0.102799	−	0.0234632i
$526$	−6278.70	+	3023.66i	−0.520465	+	0.250643i
$527$	−3164.05	+	13862.6i	−0.261534	+	1.14585i
$528$	−4779.89	+	5993.79i	−0.393973	+	0.494027i
$529$	7815.19	−	3763.60i	0.642326	−	0.309328i
$530$	2218.80	+	9721.20i	0.181846	+	0.796721i
$531$	1821.58	−	7980.85i	0.148869	−	0.652240i
$532$	−343.356	−	1504.34i	−0.0279819	−	0.122597i
$533$	7002.00	+	14539.8i	0.569025	+	1.18159i
$534$	4013.65	+	916.090i	0.325258	+	0.0742380i
$535$	2640.27	+	5482.58i	0.213363	+	0.443052i
$536$	310.315	−	1359.58i	0.0250066	−	0.109561i
$537$	4588.28	+	2209.60i	0.368713	+	0.177563i
$538$	12842.7	−	6184.73i	1.02916	−	0.495618i
$539$	6054.15	+	1381.82i	0.483805	+	0.110425i
$540$	−2951.50	+	3701.07i	−0.235208	+	0.294942i
$541$	−2357.90	−	1880.36i	−0.187383	−	0.149433i	0.525305	−	0.850914i	$-0.323951\pi$
$541$	−2357.90	−	1880.36i	−0.187383	−	0.149433i	−0.712688	+	0.701481i	$0.752522\pi$
$542$	3936.59	+	1895.76i	0.311976	+	0.150240i
$543$	−1039.02	+	828.588i	−0.0821151	+	0.0654846i
$544$	11334.0	+	14212.3i	0.893272	+	1.12013i
$545$	−3360.94	−	6979.07i	−0.264159	−	0.548533i
$546$	−3629.09	+	2894.10i	−0.284452	+	0.226843i
$547$	−4785.23	+	3816.10i	−0.374043	+	0.298290i	−0.792410	−	0.609988i	$-0.791174\pi$
$547$	−4785.23	+	3816.10i	−0.374043	+	0.298290i	0.418367	+	0.908278i	$0.362603\pi$
$548$	−2360.53	−	10342.1i	−0.184008	−	0.806194i
$549$	−1816.95	+	7960.59i	−0.141249	+	0.618852i
$550$	9884.77	+	4760.26i	0.766342	+	0.369051i
$551$	1056.31	+	4628.01i	0.0816705	+	0.357822i
$552$	−747.712	−	937.601i	−0.0576535	−	0.0722952i
$553$	2872.51	−	655.633i	0.220889	−	0.0504165i
$554$	−16863.8	−	21146.6i	−1.29328	−	1.62172i
$555$	−9150.43			−0.699845
$556$	7392.82	+	5895.57i	0.563894	+	0.449691i
$557$	−788.713	+	3455.58i	−0.0599979	+	0.262868i	−0.996027	−	0.0890555i	$-0.971615\pi$
$557$	−788.713	+	3455.58i	−0.0599979	+	0.262868i	0.936029	+	0.351923i	$0.114472\pi$
$558$	12018.2			0.911776
$559$	−4160.03	+	8638.38i	−0.314759	+	0.653604i
$560$	−16041.7	+	3661.42i	−1.21051	+	0.276291i
$561$	−4241.62	+	8807.82i	−0.319218	+	0.662864i
$562$	4971.62	+	21782.1i	0.373159	+	1.63492i
$563$	−1763.63	−	7726.98i	−0.132022	−	0.578425i	−0.997054	−	0.0767080i	$-0.975559\pi$
$563$	−1763.63	−	7726.98i	−0.132022	−	0.578425i	0.865032	−	0.501717i	$-0.167298\pi$
$564$	−2238.50	−	1785.15i	−0.167124	−	0.133277i
$565$	3227.55	+	1554.30i	0.240325	+	0.115735i
$566$	8973.21	+	11252.0i	0.666382	+	0.835616i
$567$	−7424.11	+	3575.26i	−0.549882	+	0.264809i
$568$	−612.430	−	2683.23i	−0.0452412	−	0.198214i
$569$	−17323.7	+	8342.64i	−1.27636	+	0.614660i	−0.944451	−	0.328652i	$-0.893406\pi$
$569$	−17323.7	+	8342.64i	−1.27636	+	0.614660i	−0.331905	+	0.943313i	$0.607691\pi$
$570$	733.731	−	1523.61i	0.0539169	−	0.111960i
$571$		−	4874.82i		−	0.357277i	−0.983915	−	0.178638i	$-0.942831\pi$
$571$		−	4874.82i		−	0.357277i	0.983915	−	0.178638i	$-0.0571692\pi$
$572$	−14167.1			−1.03559
$573$	5627.75	+	1284.50i	0.410301	+	0.0936486i
$574$	−7110.65	+	14765.4i	−0.517061	+	1.07369i
$575$	−1900.31	+	2382.92i	−0.137824	+	0.172825i
$576$	−174.071	+	218.278i	−0.0125919	+	0.0157898i
$577$			20095.5i			1.44989i	0.688807	+	0.724945i	$0.258135\pi$
$577$			20095.5i			1.44989i	−0.688807	+	0.724945i	$0.741865\pi$
$578$	15008.4	+	11968.8i	1.08005	+	0.861310i
$579$	−6166.14	+	1407.38i	−0.442584	+	0.101017i
$580$	−11756.6	+	2683.36i	−0.841664	+	0.192104i
$581$	777.565	−	3406.73i	0.0555229	−	0.243262i
$582$	−484.819	−	233.477i	−0.0345299	−	0.0166287i
$583$	10096.3	−	8051.51i	0.717230	−	0.571972i
$584$	−1573.62	+	6894.46i	−0.111501	+	0.488519i
$585$	17463.4			1.23422
$586$	−12354.3	+	25654.0i	−0.870907	+	1.80846i
$587$	15923.7	−	7668.46i	1.11966	−	0.539201i	0.219875	−	0.975528i	$-0.429435\pi$
$587$	15923.7	−	7668.46i	1.11966	−	0.539201i	0.899788	+	0.436327i	$0.143721\pi$
$588$	692.365	+	158.028i	0.0485589	+	0.0110833i
$589$	−3105.64	+	708.842i	−0.217259	+	0.0495880i
$590$	−15621.0			−1.09001
$591$	1807.13	+	3996.82i	0.125779	+	0.278184i
$592$	34670.0			2.40697
$593$	−21706.3	+	4954.32i	−1.50315	+	0.343085i	−0.893312	−	0.449437i	$-0.851625\pi$
$593$	−21706.3	+	4954.32i	−1.50315	+	0.343085i	−0.609843	+	0.792522i	$0.708767\pi$
$594$	16939.2	+	3866.27i	1.17008	+	0.267062i
$595$	−18904.2	+	9103.78i	−1.30252	+	0.627258i
$596$	4123.57	−	8562.69i	0.283403	−	0.588492i
$597$	6467.64			0.443388
$598$	2481.97	−	10874.2i	0.169725	−	0.743612i
$599$	4429.24	−	3532.20i	0.302127	−	0.240938i	−0.460677	−	0.887568i	$-0.652394\pi$
$599$	4429.24	−	3532.20i	0.302127	−	0.240938i	0.762804	+	0.646630i	$0.223822\pi$
$600$	−942.838	−	454.047i	−0.0641520	−	0.0308940i
$601$	2817.91	−	12346.1i	0.191256	−	0.837949i	−0.784681	−	0.619899i	$-0.787173\pi$
$601$	2817.91	−	12346.1i	0.191256	−	0.837949i	0.975938	−	0.218049i	$-0.0699694\pi$
$602$	−9492.54	+	2166.61i	−0.642670	+	0.146685i
$603$	−2602.34	+	593.966i	−0.175747	+	0.0401130i
$604$	−6781.80	−	5408.30i	−0.456867	−	0.364339i
$605$		−	30962.1i		−	2.08064i
$606$	6297.75	−	7897.12i	0.422159	−	0.529371i
$607$	−593.436	+	744.146i	−0.0396818	+	0.0497594i	−0.801276	−	0.598294i	$-0.795845\pi$
$607$	−593.436	+	744.146i	−0.0396818	+	0.0497594i	0.761595	+	0.648054i	$0.224417\pi$
$608$	−1766.98	+	3669.17i	−0.117863	+	0.244744i
$609$	4988.68	+	1138.63i	0.331940	+	0.0757632i
$610$	15581.3			1.03421
$611$			22210.3i			1.47059i
$612$	4719.26	−	9799.65i	0.311707	−	0.647267i
$613$	−8974.47	+	4321.88i	−0.591314	+	0.284762i	−0.705514	−	0.708696i	$-0.749284\pi$
$613$	−8974.47	+	4321.88i	−0.591314	+	0.284762i	0.114200	+	0.993458i	$0.463569\pi$
$614$	−3605.12	−	15795.1i	−0.236956	−	1.03817i
$615$	−5709.91	+	2749.75i	−0.374383	+	0.180293i
$616$	7481.45	+	9381.45i	0.489345	+	0.613619i
$617$	−8203.90	−	3950.79i	−0.535294	−	0.257784i	0.146650	−	0.989188i	$-0.453151\pi$
$617$	−8203.90	−	3950.79i	−0.535294	−	0.257784i	−0.681944	+	0.731404i	$0.738865\pi$
$618$	−3761.53	−	2999.72i	−0.244840	−	0.195253i
$619$	−6200.27	−	27165.2i	−0.402601	−	1.76391i	−0.616800	−	0.787120i	$-0.711571\pi$
$619$	−6200.27	−	27165.2i	−0.402601	−	1.76391i	0.214199	−	0.976790i	$-0.431286\pi$
$620$	−1800.68	−	7889.28i	−0.116640	−	0.511034i
$621$	−2094.27	+	4348.80i	−0.135331	+	0.281017i
$622$	−15681.4	+	3579.18i	−1.01088	+	0.230727i
$623$	4965.14	−	10310.2i	0.319300	−	0.663034i
$624$	6801.11			0.436318
$625$	4319.54	−	18925.1i	0.276450	−	1.21121i
$626$	8294.11	+	6614.33i	0.529552	+	0.422303i
$627$	−2190.10			−0.139496
$628$	258.750	+	324.462i	0.0164415	+	0.0206169i
$629$	43101.9	−	9837.73i	2.73225	−	0.623619i
$630$	11057.2	+	13865.3i	0.699252	+	0.876835i
$631$	3727.78	+	16332.5i	0.235183	+	1.03040i	0.945270	+	0.326290i	$0.105799\pi$
$631$	3727.78	+	16332.5i	0.235183	+	1.03040i	−0.710087	+	0.704114i	$0.751344\pi$
$632$	−2190.14	−	1054.72i	−0.137847	−	0.0663835i
$633$	1549.84	−	6790.30i	0.0973154	−	0.426367i
$634$	1562.41	+	6845.38i	0.0978728	+	0.428809i
$635$	−15930.2	+	12703.9i	−0.995544	+	0.793919i
$636$	1154.63	−	920.787i	0.0719875	−	0.0574081i
$637$	−2390.26	−	4963.43i	−0.148674	−	0.308726i
$638$	27595.9	+	34604.2i	1.71243	+	2.14732i
$639$	−4118.68	+	3284.54i	−0.254980	+	0.203340i
$640$	17574.8	+	8463.58i	1.08548	+	0.522738i
$641$	2952.52	+	2354.55i	0.181930	+	0.145085i	0.710221	−	0.703979i	$-0.248595\pi$
$641$	2952.52	+	2354.55i	0.181930	+	0.145085i	−0.528290	+	0.849064i	$0.677167\pi$
$642$	1592.55	−	1997.00i	0.0979019	−	0.122765i
$643$	21655.6	+	4942.75i	1.32817	+	0.303146i	0.827000	−	0.562203i	$-0.190046\pi$
$643$	21655.6	+	4942.75i	1.32817	+	0.303146i	0.501170	+	0.865349i	$0.332903\pi$
$644$	3600.95	−	1734.12i	0.220337	−	0.106109i
$645$	−3392.37	−	1633.68i	−0.207092	−	0.0997302i
$646$	−1818.10	+	7965.60i	−0.110731	+	0.485143i
$647$	−13560.8	−	28159.2i	−0.824001	−	1.71106i	−0.694519	−	0.719474i	$-0.744383\pi$
$647$	−13560.8	−	28159.2i	−0.824001	−	1.71106i	−0.129482	−	0.991582i	$-0.541331\pi$
$648$	6627.96	+	1512.79i	0.401807	+	0.0917098i
$649$	8777.73	+	18227.1i	0.530903	+	1.10243i
$650$	−2165.80	−	9489.01i	−0.130692	−	0.572599i
$651$	−764.083	+	3347.67i	−0.0460012	+	0.201544i
$652$	−2146.88	−	9406.09i	−0.128954	−	0.564986i
$653$	−29964.9	+	14430.3i	−1.79574	+	0.864781i	−0.861902	+	0.507074i	$0.830727\pi$
$653$	−29964.9	+	14430.3i	−1.79574	+	0.864781i	−0.933834	+	0.357707i	$0.883559\pi$
$654$	−2027.24	+	2542.08i	−0.121210	+	0.151993i
$655$	1800.53	−	7888.63i	0.107408	−	0.470587i
$656$	21634.2	−	10418.5i	1.28761	−	0.620082i
$657$	13196.5	−	3012.02i	0.783631	−	0.178859i
$658$	−17634.2	+	14062.8i	−1.04476	+	0.833167i
$659$			27712.1i			1.63811i	0.573718	+	0.819053i	$0.305501\pi$
$659$			27712.1i			1.63811i	−0.573718	+	0.819053i	$0.694499\pi$
$660$		−	5563.53i		−	0.328122i
$661$	7594.73	+	3657.43i	0.446900	+	0.215216i	0.643778	−	0.765212i	$-0.277366\pi$
$661$	7594.73	+	3657.43i	0.446900	+	0.215216i	−0.196878	+	0.980428i	$0.563080\pi$
$662$	−3262.21	+	6774.05i	−0.191525	+	0.397705i
$663$	8455.18	−	1929.84i	0.495282	−	0.113045i
$664$	−2253.99	+	1797.50i	−0.131735	+	0.105055i
$665$	−3675.08	−	2930.78i	−0.214306	−	0.170904i
$666$	−16213.0	−	33666.7i	−0.943307	−	1.95880i
$667$	−11078.1	+	5334.92i	−0.643095	+	0.309698i
$668$			16991.7i			0.984174i
$669$	−5239.90	−	4178.68i	−0.302819	−	0.241490i
$670$	2210.02	+	4589.15i	0.127433	+	0.264618i
$671$	−8755.45	−	18180.9i	−0.503726	−	1.04600i
$672$	2737.03	+	3432.12i	0.157118	+	0.197019i
$673$	−17606.1	−	4018.48i	−1.00842	−	0.230165i	−0.313759	−	0.949503i	$-0.601588\pi$
$673$	−17606.1	−	4018.48i	−1.00842	−	0.230165i	−0.694661	+	0.719337i	$0.744446\pi$
$674$	−25608.1			−1.46348
$675$			4211.94i			0.240174i
$676$	1861.10	+	2333.74i	0.105889	+	0.132780i
$677$	6485.51	+	13467.3i	0.368181	+	0.764535i	0.999944	−	0.0106267i	$-0.00338265\pi$
$677$	6485.51	+	13467.3i	0.368181	+	0.764535i	−0.631763	+	0.775162i	$0.717668\pi$
$678$		−	1503.67i		−	0.0851740i
$679$	−932.588	+	1169.43i	−0.0527090	+	0.0660950i
$680$	16876.9	+	3852.05i	0.951766	+	0.217234i
$681$	−6003.93	+	7528.69i	−0.337843	+	0.423642i
$682$	−23221.2	+	18518.3i	−1.30379	+	1.03974i
$683$	−4485.86	−	5625.09i	−0.251313	−	0.315136i	0.640133	−	0.768265i	$-0.278879\pi$
$683$	−4485.86	−	5625.09i	−0.251313	−	0.315136i	−0.891445	+	0.453128i	$0.850308\pi$
$684$	2436.73			0.136214
$685$	−25265.7	−	20148.7i	−1.40927	−	1.12386i
$686$	10539.8	−	21886.1i	0.586604	−	1.21810i
$687$	−513.218	+	643.555i	−0.0285014	+	0.0357397i
$688$	12853.3	+	6189.83i	0.712250	+	0.343001i
$689$	−11168.9	−	2549.24i	−0.617566	−	0.140955i
$690$	4270.40	+	974.691i	0.235611	+	0.0537766i
$691$	−8536.08	−	4110.76i	−0.469939	−	0.226311i	0.183899	−	0.982945i	$-0.441128\pi$
$691$	−8536.08	−	4110.76i	−0.469939	−	0.226311i	−0.653838	+	0.756634i	$0.726842\pi$
$692$	6302.74	−	7903.38i	0.346234	−	0.434164i
$693$	9965.28	−	20693.1i	0.546248	−	1.13430i
$694$	−14948.1	−	11920.7i	−0.817611	−	0.652023i
$695$	28805.6			1.57217
$696$	−2632.18	−	3300.65i	−0.143351	−	0.179757i
$697$	23939.5	−	19091.1i	1.30096	−	1.03748i
$698$	−22859.5	+	28664.8i	−1.23960	+	1.55441i
$699$	3847.16	+	878.090i	0.208173	+	0.0475142i
$700$	2174.50	−	2726.73i	0.117412	−	0.147230i
$701$			29801.0i			1.60566i	0.596207	+	0.802831i	$0.296674\pi$
$701$			29801.0i			1.60566i	−0.596207	+	0.802831i	$0.703326\pi$
$702$	−6687.84	−	13887.4i	−0.359567	−	0.746649i
$703$	6175.32	+	7743.60i	0.331304	+	0.415442i
$704$		−	689.968i		−	0.0369377i
$705$	−8722.16			−0.465951
$706$	−24157.4	−	5513.77i	−1.28779	−	0.293929i
$707$	−17505.5	−	21951.3i	−0.931208	−	1.16770i
$708$	1003.84	+	2084.49i	0.0532861	+	0.110650i
$709$	−5441.77	−	11300.0i	−0.288251	−	0.598560i	0.705684	−	0.708527i	$-0.250640\pi$
$709$	−5441.77	−	11300.0i	−0.288251	−	0.598560i	−0.993935	+	0.109967i	$0.964926\pi$
$710$	7859.40	+	6267.67i	0.415434	+	0.331298i
$711$			4652.88i			0.245424i
$712$	−8506.30	+	4096.42i	−0.447734	+	0.215618i
$713$	−3580.01	−	7433.97i	−0.188040	−	0.390469i
$714$	6885.74	+	5491.19i	0.360914	+	0.287819i
$715$	−33742.2	+	26908.5i	−1.76488	+	1.40744i
$716$	13651.7	−	3115.91i	0.712553	−	0.162636i
$717$	−3726.90	+	7738.98i	−0.194119	+	0.403093i
$718$	−7381.37	−	3554.68i	−0.383663	−	0.184763i
$719$		−	8825.89i		−	0.457789i	−0.973451	−	0.228894i	$-0.926489\pi$
$719$		−	8825.89i		−	0.457789i	0.973451	−	0.228894i	$-0.0735110\pi$
$720$		−	25984.3i		−	1.34497i
$721$	−10455.7	+	8338.17i	−0.540072	+	0.430693i
$722$	21726.8	−	4958.99i	1.11993	−	0.255616i
$723$	2703.55	−	1301.96i	0.139068	−	0.0669715i
$724$	−813.120	+	3562.51i	−0.0417395	+	0.182873i
$725$	−6689.69	+	8388.61i	−0.342688	+	0.429717i
$726$	−11709.3	+	5638.88i	−0.598583	+	0.288262i
$727$	−1267.22	−	5552.07i	−0.0646475	−	0.283239i	0.932263	−	0.361780i	$-0.117831\pi$
$727$	−1267.22	−	5552.07i	−0.0646475	−	0.283239i	−0.996911	+	0.0785411i	$0.974974\pi$
$728$	2368.75	−	10378.2i	0.120593	−	0.528352i
$729$	−2117.18	−	9275.95i	−0.107564	−	0.471267i
$730$	−11207.1	−	23271.7i	−0.568209	−	1.17990i
$731$	17735.7	+	4048.05i	0.897371	+	0.204819i
$732$	−1001.29	−	2079.20i	−0.0505584	−	0.104986i
$733$	−702.632	+	3078.43i	−0.0354056	+	0.155122i	−0.989541	−	0.144255i	$-0.953922\pi$
$733$	−702.632	+	3078.43i	−0.0354056	+	0.155122i	0.954135	+	0.299377i	$0.0967787\pi$
$734$	8940.38	+	4305.46i	0.449585	+	0.216509i
$735$	1949.18	−	938.676i	0.0978185	−	0.0471069i
$736$	−10284.0	−	2347.26i	−0.515047	−	0.117556i
$737$	4112.94	−	5157.47i	0.205566	−	0.257772i
$738$	−20234.0	−	16136.1i	−1.00925	−	0.804847i
$739$	−7735.03	−	3724.99i	−0.385031	−	0.185421i	0.231348	−	0.972871i	$-0.425687\pi$
$739$	−7735.03	−	3724.99i	−0.385031	−	0.185421i	−0.616378	+	0.787450i	$0.711401\pi$
$740$	−19671.1	+	15687.2i	−0.977196	+	0.779288i
$741$	1211.39	+	1519.04i	0.0600562	+	0.0753081i
$742$	−5047.78	−	10481.8i	−0.249744	−	0.518598i
$743$	25554.0	−	20378.6i	1.26176	−	1.00622i	0.262610	−	0.964902i	$-0.415417\pi$
$743$	25554.0	−	20378.6i	1.26176	−	1.00622i	0.999146	−	0.0413152i	$-0.0131548\pi$
$744$	2214.91	−	1766.33i	0.109143	−	0.0870387i
$745$	−6442.45	−	28226.2i	−0.316823	−	1.38809i
$746$	10359.3	−	45387.1i	0.508420	−	2.22753i
$747$	4971.73	+	2394.26i	0.243516	+	0.117271i
$748$	5981.42	+	26206.3i	0.292383	+	1.28101i
$749$	−4426.74	−	5550.96i	−0.215954	−	0.270798i
$750$	−5305.75	+	1211.00i	−0.258318	+	0.0589595i
$751$	−17768.1	−	22280.4i	−0.863337	−	1.08259i	−0.995814	−	0.0914039i	$-0.970865\pi$
$751$	−17768.1	−	22280.4i	−0.863337	−	1.08259i	0.132477	−	0.991186i	$-0.457707\pi$
$752$	33047.3			1.60254
$753$	3539.42	+	2822.59i	0.171293	+	0.136602i
$754$	8737.31	−	38280.6i	0.422008	−	1.84894i
$755$	−26424.8			−1.27377
$756$	2396.44	−	4976.26i	0.115288	−	0.239398i
$757$	36703.0	−	8377.22i	1.76221	−	0.402213i	0.785859	−	0.618406i	$-0.212221\pi$
$757$	36703.0	−	8377.22i	1.76221	−	0.402213i	0.976351	+	0.216193i	$0.0693640\pi$
$758$	11797.6	−	24497.9i	0.565312	−	1.17388i
$759$	−1262.32	−	5530.56i	−0.0603678	−	0.264488i
$760$	862.974	+	3780.94i	0.0411886	+	0.180459i
$761$	16770.0	+	13373.6i	0.798831	+	0.637047i	0.935403	−	0.353583i	$-0.115037\pi$
$761$	16770.0	+	13373.6i	0.798831	+	0.637047i	−0.136572	+	0.990630i	$0.543608\pi$
$762$	7705.60	+	3710.82i	0.366331	+	0.176416i
$763$	5635.03	+	7066.11i	0.267368	+	0.335269i
$764$	14300.3	−	6886.68i	0.677183	−	0.326114i
$765$	−7373.12	−	32303.8i	−0.348465	−	1.52673i
$766$	46677.3	−	22478.6i	2.20172	−	1.06029i
$767$	7787.06	−	16170.0i	0.366590	−	0.761232i
$768$		−	8043.13i		−	0.377905i
$769$	−3011.80			−0.141233			−0.0706166	−	0.997504i	$-0.522497\pi$
$769$	−3011.80			−0.141233			−0.0706166	+	0.997504i	$0.522497\pi$
$770$	−42728.8	−	9752.56i	−1.99979	−	0.456439i
$771$	−258.207	+	536.172i	−0.0120611	+	0.0250451i
$772$	−10842.9	+	13596.5i	−0.505497	+	0.633873i
$773$	10454.3	−	13109.2i	0.486434	−	0.609969i	−0.476675	−	0.879080i	$-0.658158\pi$
$773$	10454.3	−	13109.2i	0.486434	−	0.609969i	0.963109	+	0.269110i	$0.0867296\pi$
$774$		−	15376.0i		−	0.714054i
$775$	−5629.20	−	4489.13i	−0.260912	−	0.208070i
$776$	1203.11	−	274.602i	0.0556561	−	0.0127031i
$777$	10408.6	−	2375.70i	0.480576	−	0.109688i
$778$	−5924.53	+	25957.1i	−0.273014	+	1.19615i
$779$	6180.41	+	2976.33i	0.284257	+	0.136891i
$780$	−3858.83	+	3077.31i	−0.177139	+	0.141263i
$781$	2897.00	−	12692.6i	0.132731	−	0.581531i
$782$	−21163.1			−0.967762
$783$	−7372.49	+	15309.1i	−0.336489	+	0.698728i
$784$	−7385.24	+	3556.54i	−0.336427	+	0.162014i
$785$	1232.55	+	281.320i	0.0560400	+	0.0127908i
$786$	−3311.24	+	755.769i	−0.150265	+	0.0342969i
$787$	−1982.52			−0.0897956			−0.0448978	−	0.998992i	$-0.514296\pi$
$787$	−1982.52			−0.0897956			−0.0448978	+	0.998992i	$0.514296\pi$
$788$	10736.9	+	5494.07i	0.485387	+	0.248373i
$789$	3144.29			0.141875
$790$	8656.18	−	1975.72i	0.389839	−	0.0889782i
$791$	−4074.88	−	930.064i	−0.183168	−	0.0418069i
$792$	−17072.6	+	8221.71i	−0.765969	+	0.368871i
$793$	−7767.30	+	16129.0i	−0.347824	+	0.722265i
$794$	−7697.08			−0.344029
$795$	1001.11	−	4386.14i	0.0446611	−	0.195673i
$796$	13903.8	−	11087.9i	0.619104	−	0.493719i
$797$	−17700.7	−	8524.20i	−0.786688	−	0.378849i	−0.00299332	−	0.999996i	$-0.500953\pi$
$797$	−17700.7	−	8524.20i	−0.786688	−	0.378849i	−0.783694	+	0.621147i	$0.786667\pi$
$798$	−439.050	+	1923.60i	−0.0194764	+	0.0853319i
$799$	41084.6	−	9377.30i	1.81911	−	0.415200i
$800$	−8973.99	+	2048.26i	−0.396598	+	0.0905209i
$801$	14128.7	+	11267.3i	0.623239	+	0.497016i
$802$			13430.6i			0.591334i
$803$	−20856.9	+	26153.7i	−0.916591	+	1.14937i
$804$	470.364	−	589.818i	0.0206324	−	0.0258722i
$805$	5282.75	−	10969.7i	0.231295	−	0.480289i
$806$	25688.3	+	5863.19i	1.12262	+	0.256231i
$807$	−6431.47			−0.280543
$808$			23164.3i			1.00856i
$809$	−8970.83	+	18628.1i	−0.389861	+	0.809555i	0.609992	+	0.792408i	$0.291173\pi$
$809$	−8970.83	+	18628.1i	−0.389861	+	0.809555i	−0.999853	+	0.0171472i	$0.994542\pi$
$810$	−22372.2	+	10773.9i	−0.970467	+	0.467352i
$811$	−8855.95	−	38800.5i	−0.383446	−	1.67999i	−0.686593	−	0.727042i	$-0.740894\pi$
$811$	−8855.95	−	38800.5i	−0.383446	−	1.67999i	0.303147	−	0.952944i	$-0.401963\pi$
$812$	12676.4	−	6104.65i	0.547852	−	0.263832i
$813$	−1229.14	−	1541.29i	−0.0530232	−	0.0664890i
$814$	83201.9	+	40067.9i	3.58259	+	1.72528i
$815$	−22978.9	−	18325.1i	−0.987627	−	0.787606i
$816$	−2871.46	−	12580.7i	−0.123188	−	0.539722i
$817$	906.885	+	3973.32i	0.0388346	+	0.170146i
$818$	−20079.1	+	41694.7i	−0.858251	+	1.78218i
$819$	−19864.6	+	4533.97i	−0.847528	+	0.193443i
$820$	−7560.79	+	15700.1i	−0.321993	+	0.668625i
$821$	−22401.6			−0.952279			−0.476140	−	0.879370i	$-0.657964\pi$
$821$	−22401.6			−0.952279			−0.476140	+	0.879370i	$0.657964\pi$
$822$	−3018.41	+	13224.5i	−0.128077	+	0.561140i
$823$	−19812.4	−	15799.9i	−0.839147	−	0.669198i	0.106528	−	0.994310i	$-0.466027\pi$
$823$	−19812.4	−	15799.9i	−0.839147	−	0.669198i	−0.945676	+	0.325112i	$0.894598\pi$
$824$	11033.5			0.466470
$825$	−3086.37	−	3870.19i	−0.130247	−	0.163325i
$826$	17768.9	−	4055.63i	0.748497	−	0.170840i
$827$	−7023.02	−	8806.58i	−0.295301	−	0.370296i	0.611942	−	0.790903i	$-0.290389\pi$
$827$	−7023.02	−	8806.58i	−0.295301	−	0.370296i	−0.907243	+	0.420607i	$0.861817\pi$
$828$	1404.46	+	6153.35i	0.0589474	+	0.258265i
$829$	−15211.6	−	7325.52i	−0.637299	−	0.306907i	0.0871916	−	0.996192i	$-0.472211\pi$
$829$	−15211.6	−	7325.52i	−0.637299	−	0.306907i	−0.724491	+	0.689284i	$0.757925\pi$
$830$	2343.15	−	10266.0i	0.0979904	−	0.429324i
$831$	2715.56	+	11897.7i	0.113360	+	0.496661i
$832$	−478.557	+	381.636i	−0.0199411	+	0.0159025i
$833$	−8172.18	+	6517.10i	−0.339915	+	0.271073i
$834$	−5246.13	−	10893.7i	−0.217816	−	0.452300i
$835$	32273.5	+	40469.6i	1.33757	+	1.67726i
$836$	−4708.17	+	3754.64i	−0.194779	+	0.155331i
$837$	−10273.2	−	4947.33i	−0.424247	−	0.204307i
$838$	−14839.7	−	11834.3i	−0.611731	−	0.487839i
$839$	−3193.14	+	4004.07i	−0.131394	+	0.164763i	−0.843176	−	0.537638i	$-0.819317\pi$
$839$	−3193.14	+	4004.07i	−0.131394	+	0.164763i	0.711782	+	0.702400i	$0.247888\pi$
$840$	4075.59	+	930.227i	0.167406	+	0.0382094i
$841$	−17024.5	+	8198.57i	−0.698040	+	0.336158i
$842$	19075.1	+	9186.07i	0.780724	+	0.375977i
$843$	2243.16	−	9827.93i	0.0916472	−	0.401533i
$844$	−8309.30	−	17254.4i	−0.338884	−	0.703699i
$845$	8865.28	+	2023.44i	0.360917	+	0.0823769i
$846$	−15454.2	−	32091.0i	−0.628046	−	1.30415i
$847$	8038.61	+	35219.4i	0.326104	+	1.42875i
$848$	−3793.09	+	16618.6i	−0.153603	+	0.672978i
$849$	−1444.95	−	6330.72i	−0.0584104	−	0.255913i
$850$	−16638.4	+	8012.62i	−0.671402	+	0.323330i
$851$	−15995.3	+	20057.4i	−0.644314	+	0.807944i
$852$	331.306	−	1451.55i	0.0133220	−	0.0583676i
$853$	−5982.21	+	2880.88i	−0.240125	+	0.115638i	−0.550077	−	0.835114i	$-0.685402\pi$
$853$	−5982.21	+	2880.88i	−0.240125	+	0.115638i	0.309951	+	0.950752i	$0.399687\pi$
$854$	−17723.8	+	4045.34i	−0.710182	+	0.162094i
$855$	5803.63	−	4628.24i	0.232140	−	0.185126i
$856$			5857.71i			0.233893i
$857$			32810.1i			1.30778i	0.756588	+	0.653892i	$0.226865\pi$
$857$			32810.1i			1.30778i	−0.756588	+	0.653892i	$0.773135\pi$
$858$	16321.5	+	7860.00i	0.649424	+	0.312746i
$859$	−5077.56	+	10543.7i	−0.201681	+	0.418795i	−0.977138	−	0.212605i	$-0.931805\pi$
$859$	−5077.56	+	10543.7i	−0.201681	+	0.418795i	0.775457	+	0.631400i	$0.217520\pi$
$860$	−10093.5	+	2303.77i	−0.400214	+	0.0913462i
$861$	5781.12	−	4610.29i	0.228827	−	0.182483i
$862$	30439.5	+	24274.7i	1.20275	+	0.959163i
$863$	1615.31	+	3354.23i	0.0637148	+	0.132305i	0.930394	−	0.366560i	$-0.119465\pi$
$863$	1615.31	+	3354.23i	0.0637148	+	0.132305i	−0.866680	+	0.498865i	$0.833750\pi$
$864$	−13133.7	+	6324.86i	−0.517150	+	0.249046i
$865$		−	30795.0i		−	1.21047i
$866$	−26031.5	−	20759.5i	−1.02146	−	0.814590i
$867$	−3758.01	−	7803.59i	−0.147207	−	0.305679i
$868$	4096.54	+	8506.56i	0.160191	+	0.332640i
$869$	−7169.42	−	8990.16i	−0.279869	−	0.350944i
$870$	15033.1	+	3431.21i	0.585829	+	0.133712i
$871$	−5852.14			−0.227660
$872$		−	7456.58i		−	0.289578i
$873$	−1472.73	−	1846.74i	−0.0570953	−	0.0715953i
$874$	−2057.11	−	4271.64i	−0.0796142	−	0.165321i
$875$			15127.4i			0.584458i
$876$	−2385.23	+	2990.99i	−0.0919972	+	0.115361i
$877$	−289.760	−	66.1358i	−0.0111568	−	0.00254646i	0.216939	−	0.976185i	$-0.430393\pi$
$877$	−289.760	−	66.1358i	−0.0111568	−	0.00254646i	−0.228096	+	0.973639i	$0.573250\pi$
$878$	−26637.1	+	33401.9i	−1.02387	+	1.28389i
$879$	10044.3	−	8010.08i	0.385423	−	0.307364i
$880$	40038.0	+	50206.0i	1.53373	+	1.92323i
$881$	−24190.7			−0.925090			−0.462545	−	0.886596i	$-0.653064\pi$
$881$	−24190.7			−0.925090			−0.462545	+	0.886596i	$0.653064\pi$
$882$	6907.25	+	5508.34i	0.263695	+	0.210290i
$883$	−2556.01	+	5307.61i	−0.0974140	+	0.202282i	−0.943981	−	0.330000i	$-0.892951\pi$
$883$	−2556.01	+	5307.61i	−0.0974140	+	0.202282i	0.846567	+	0.532282i	$0.178666\pi$
$884$	14868.0	−	18643.9i	0.565686	−	0.709348i
$885$	6350.10	+	3058.04i	0.241193	+	0.116153i
$886$	25657.6	+	5856.19i	0.972895	+	0.222057i
$887$	41367.0	+	9441.75i	1.56592	+	0.357410i	0.915548	−	0.402208i	$-0.131757\pi$
$887$	41367.0	+	9441.75i	1.56592	+	0.357410i	0.650369	+	0.759619i	$0.274614\pi$
$888$	−7936.04	−	3821.79i	−0.299905	−	0.144427i
$889$	14822.3	−	18586.6i	0.559196	−	0.701209i
$890$	14962.2	−	31069.3i	0.563521	−	1.17016i
$891$	25142.7	+	20050.7i	0.945357	+	0.753897i
$892$	−18428.2			−0.691730
$893$	5886.29	+	7381.18i	0.220579	+	0.276598i
$894$	−9501.29	+	7577.02i	−0.355448	+	0.283460i
$895$	26596.4	−	33350.9i	0.993319	−	1.24558i
$896$	−22188.7	−	5064.43i	−0.827314	−	0.188829i
$897$	−3137.75	+	3934.61i	−0.116796	+	0.146458i
$898$		−	6632.91i		−	0.246484i
$899$	−12602.7	−	26169.9i	−0.467547	−	0.970872i
$900$	3433.92	+	4306.01i	0.127182	+	0.159482i
$901$			21736.6i			0.803720i
$902$	63958.9			2.36097
$903$	4282.97	+	977.560i	0.157839	+	0.0360256i
$904$	2150.03	+	2696.05i	0.0791027	+	0.0991917i
$905$	4829.89	+	10029.4i	0.177404	+	0.368384i
$906$	4812.54	+	9993.33i	0.176474	+	0.366453i
$907$	−37357.5	−	29791.6i	−1.36763	−	1.09065i	−0.986076	−	0.166297i	$-0.946819\pi$
$907$	−37357.5	−	29791.6i	−1.36763	−	1.09065i	−0.381550	−	0.924348i	$-0.624610\pi$
$908$			26477.7i			0.967725i
$909$	39947.4	−	19237.6i	1.45761	−	0.701950i
$910$	16869.9	+	35030.7i	0.614540	+	1.27611i
$911$	−2113.95	−	1685.82i	−0.0768807	−	0.0613103i	0.584295	−	0.811541i	$-0.301371\pi$
$911$	−2113.95	−	1685.82i	−0.0768807	−	0.0613103i	−0.661176	+	0.750231i	$0.729942\pi$
$912$	2260.22	−	1802.47i	0.0820652	−	0.0654448i
$913$	−13295.4	+	3034.60i	−0.481944	+	0.110001i
$914$	−18824.9	+	39090.3i	−0.681260	+	1.41465i
$915$	−6333.98	−	3050.28i	−0.228847	−	0.110207i
$916$			2263.32i			0.0816401i
$917$			9440.80i			0.339981i
$918$	−22865.4	+	18234.5i	−0.822080	+	0.655587i
$919$	−49483.8	+	11294.3i	−1.77619	+	0.405404i	−0.979897	−	0.199506i	$-0.936066\pi$
$919$	−49483.8	+	11294.3i	−1.77619	+	0.405404i	−0.796294	+	0.604910i	$0.793209\pi$
$920$	−9050.43	+	4358.46i	−0.324330	+	0.156189i
$921$	−1626.61	+	7126.62i	−0.0581960	+	0.254973i
$922$	13167.3	−	16511.2i	0.470326	−	0.589770i
$923$	−10405.9	+	5011.20i	−0.371087	+	0.178706i
$924$	1444.45	+	6328.53i	0.0514272	+	0.225317i
$925$	−4981.45	+	21825.1i	−0.177069	+	0.775791i
$926$	4914.35	+	21531.2i	0.174401	+	0.764101i
$927$	−9163.20	−	19027.6i	−0.324659	−	0.674162i
$928$	−36203.0	−	8263.09i	−1.28063	−	0.292294i
$929$	−2218.68	−	4607.15i	−0.0783559	−	0.162708i	0.858110	−	0.513465i	$-0.171638\pi$
$929$	−2218.68	−	4607.15i	−0.0783559	−	0.162708i	−0.936466	+	0.350757i	$0.885924\pi$
$930$	−2302.53	+	10088.0i	−0.0811858	+	0.355698i
$931$	−2109.80	−	1016.02i	−0.0742704	−	0.0357667i
$932$	9775.80	−	4707.78i	0.343580	−	0.165460i
$933$	7075.35	+	1614.90i	0.248271	+	0.0566661i
$934$	14274.5	−	17899.7i	0.500082	−	0.627082i
$935$	64021.6	+	51055.5i	2.23928	+	1.78577i
$936$	15145.7	+	7293.80i	0.528903	+	0.254706i
$937$	−18680.2	+	14897.0i	−0.651286	+	0.519383i	−0.892476	−	0.451094i	$-0.851034\pi$
$937$	−18680.2	+	14897.0i	−0.651286	+	0.519383i	0.241190	+	0.970478i	$0.422462\pi$
$938$	−3705.37	−	4646.38i	−0.128981	−	0.161738i
$939$	−2076.79	−	4312.50i	−0.0721762	−	0.149875i
$940$	−18750.5	+	14953.0i	−0.650609	+	0.518843i
$941$	28249.4	−	22528.2i	0.978645	−	0.780444i	0.00304438	−	0.999995i	$-0.499031\pi$
$941$	28249.4	−	22528.2i	0.978645	−	0.780444i	0.975601	+	0.219552i	$0.0704595\pi$
$942$	−118.084	−	517.359i	−0.00408427	−	0.0178943i
$943$	−3953.76	+	17322.6i	−0.136535	+	0.598198i
$944$	−24059.8	−	11586.6i	−0.829534	−	0.399483i
$945$	−3744.07	−	16403.8i	−0.128883	−	0.564674i
$946$	23692.1	+	29709.0i	0.814268	+	1.02106i
$947$	−17914.3	+	4088.82i	−0.614717	+	0.140305i	−0.518532	−	0.855058i	$-0.673521\pi$
$947$	−17914.3	+	4088.82i	−0.614717	+	0.140305i	−0.0961851	+	0.995363i	$0.530664\pi$
$948$	−819.909	−	1028.13i	−0.0280901	−	0.0352238i
$949$	29676.4			1.01511
$950$	−3234.60	−	2579.50i	−0.110468	−	0.0880949i
$951$	704.950	−	3088.59i	0.0240374	−	0.105315i
$952$	−20197.6			−0.687615
$953$	−8744.16	+	18157.4i	−0.297220	+	0.617185i	−0.995083	−	0.0990474i	$-0.968420\pi$
$953$	−8744.16	+	18157.4i	−0.297220	+	0.617185i	0.697862	+	0.716232i	$0.254135\pi$
$954$	17911.5	−	4088.18i	0.607868	−	0.138742i
$955$	20979.2	−	43563.9i	0.710861	−	1.47612i
$956$	5255.56	+	23026.1i	0.177800	+	0.778994i
$957$	−4443.74	−	19469.3i	−0.150100	−	0.657631i
$958$	11818.8	+	9425.19i	0.398589	+	0.317864i
$959$	33970.9	+	16359.5i	1.14388	+	0.550862i
$960$	−149.872	−	187.933i	−0.00503864	−	0.00631825i
$961$	−9279.40	+	4468.73i	−0.311483	+	0.150003i
$962$	−18230.0	−	79870.7i	−0.610974	−	2.67685i
$963$	10101.8	−	4864.75i	0.338032	−	0.162788i
$964$	3579.91	−	7433.76i	0.119607	−	0.248366i
$965$			52977.9i			1.76727i
$966$	−5110.64			−0.170220
$967$	58384.8	+	13326.0i	1.94160	+	0.443158i	0.991253	+	0.131975i	$0.0421318\pi$
$967$	58384.8	+	13326.0i	1.94160	+	0.443158i	0.950350	+	0.311183i	$0.100725\pi$
$968$	12931.7	−	26853.0i	0.429381	−	0.891619i
$969$	2298.47	−	2882.18i	0.0761995	−	0.0955512i
$970$	−2810.31	+	3524.01i	−0.0930242	+	0.116649i
$971$			5070.49i			0.167580i	0.996483	+	0.0837899i	$0.0267024\pi$
$971$			5070.49i			0.167580i	−0.996483	+	0.0837899i	$0.973298\pi$
$972$	10395.6	+	8290.21i	0.343044	+	0.273568i
$973$	−32766.4	+	7478.72i	−1.07959	+	0.246410i
$974$	−4380.80	+	999.889i	−0.144117	+	0.0328937i
$975$	−977.196	+	4281.37i	−0.0320978	+	0.140629i
$976$	23998.8	+	11557.2i	0.787071	+	0.379034i
$977$	−17508.7	+	13962.7i	−0.573338	+	0.457222i	−0.866735	−	0.498769i	$-0.833786\pi$
$977$	−17508.7	+	13962.7i	−0.573338	+	0.457222i	0.293397	+	0.955991i	$0.405214\pi$
$978$	−2745.21	+	12027.6i	−0.0897569	+	0.393251i
$979$	−44660.4			−1.45797
$980$	2581.01	−	5359.53i	0.0841300	−	0.174698i
$981$	−12859.1	+	6192.60i	−0.418510	+	0.201544i
$982$	8839.69	+	2017.60i	0.287257	+	0.0655644i
$983$	28976.8	−	6613.76i	0.940199	−	0.214594i	0.275156	−	0.961400i	$-0.411270\pi$
$983$	28976.8	−	6613.76i	0.940199	−	0.214594i	0.665043	+	0.746805i	$0.268413\pi$
$984$	−6100.58			−0.197642
$985$	36007.6	−	7307.87i	1.16477	−	0.236394i
$986$	−74500.6			−2.40627
$987$	9921.48	−	2264.51i	0.319964	−	0.0730296i
$988$	5208.38	+	1188.78i	0.167713	+	0.0382795i
$989$	−9510.94	+	4580.23i	−0.305794	+	0.147263i
$990$	30029.9	−	62357.7i	0.964052	−	2.00188i
$991$	−21211.4			−0.679921			−0.339961	−	0.940440i	$-0.610414\pi$
$991$	−21211.4			−0.679921			−0.339961	+	0.940440i	$0.610414\pi$
$992$	5544.97	−	24294.1i	0.177473	−	0.777559i
$993$	2652.25	−	2115.10i	0.0847598	−	0.0675937i
$994$	−10567.3	−	5088.96i	−0.337199	−	0.162386i
$995$	12055.1	−	52816.9i	0.384093	−	1.68282i
$996$	−1520.49	+	347.043i	−0.0483722	+	0.0110406i
$997$	12001.5	−	2739.26i	0.381235	−	0.0870143i	−0.0276089	−	0.999619i	$-0.508789\pi$
$997$	12001.5	−	2739.26i	0.381235	−	0.0870143i	0.408844	+	0.912604i	$0.365932\pi$
$998$	−25039.9	−	19968.7i	−0.794213	−	0.633364i
$999$			35452.7i			1.12280i

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Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	197.4.e.a.6.11	✓	288
197.33	even	14	inner	197.4.e.a.33.11	yes	288

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
197.4.e.a.6.11	✓	288	1.1	even	1	trivial
197.4.e.a.33.11	yes	288	197.33	even	14	inner

Overview	Random
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Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Introduction

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Fields

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Groups

Database

Properties

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Newspace parameters

Newform invariants

Embedding invariants

$q$ -expansion

Character values

Coefficient data

Twists

This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.

Label	197.4.e.a.6.11

Level	$197$
Weight	$4$
Character	197.6
Analytic conductor	$11.623$
Analytic rank	$0$
Dimension	$288$
Inner twists	$2$