LMFDB - Embedded newform 25.4.d.a.6.4

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [25,4,Mod(6,25)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(25, base_ring=CyclotomicField(10))

chi = DirichletCharacter(H, H._module([4]))

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

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

chi := DirichletCharacter("25.6");

S:= CuspForms(chi, 4);

N := Newforms(S);

Level:	$ N $	$=$	$ 25 = 5^{2} $
Weight:	$ k $	$=$	$ 4 $
Character orbit:	$[\chi]$	$=$	25.d (of order $5$, degree $4$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$1.47504775014$
Analytic rank:	$0$
Dimension:	$28$
Relative dimension:	$7$ over $\Q(\zeta_{5})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{5}]$

Embedding invariants

Embedding label			6.4
Character	$\chi$	$=$	25.6
Dual form			25.4.d.a.21.4

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.132779 - 0.408651i) q^{2} +(0.0617670 - 0.0448763i) q^{3} +(6.32277 - 4.59376i) q^{4} +(11.1601 + 0.672002i) q^{5} +(-0.0265401 - 0.0192825i) q^{6} -16.1597 q^{7} +(-5.49773 - 3.99433i) q^{8} +(-8.34166 + 25.6730i) q^{9} +O(q^{10})$	\(q+(-0.132779 - 0.408651i) q^{2} +(0.0617670 - 0.0448763i) q^{3} +(6.32277 - 4.59376i) q^{4} +(11.1601 + 0.672002i) q^{5} +(-0.0265401 - 0.0192825i) q^{6} -16.1597 q^{7} +(-5.49773 - 3.99433i) q^{8} +(-8.34166 + 25.6730i) q^{9} +(-1.20721 - 4.64982i) q^{10} +(-10.1515 - 31.2432i) q^{11} +(0.184387 - 0.567486i) q^{12} +(-24.0686 + 74.0757i) q^{13} +(2.14566 + 6.60366i) q^{14} +(0.719484 - 0.459318i) q^{15} +(18.4184 - 56.6859i) q^{16} +(-57.3840 - 41.6919i) q^{17} +11.5989 q^{18} +(80.7756 + 58.6869i) q^{19} +(73.6499 - 47.0180i) q^{20} +(-0.998134 + 0.725187i) q^{21} +(-11.4197 + 8.29687i) q^{22} +(-14.5415 - 44.7540i) q^{23} -0.518829 q^{24} +(124.097 + 14.9993i) q^{25} +33.4669 q^{26} +(1.27388 + 3.92060i) q^{27} +(-102.174 + 74.2337i) q^{28} +(16.9169 - 12.2908i) q^{29} +(-0.283233 - 0.233030i) q^{30} +(-120.948 - 87.8738i) q^{31} -79.9748 q^{32} +(-2.02911 - 1.47423i) q^{33} +(-9.41807 + 28.9858i) q^{34} +(-180.344 - 10.8593i) q^{35} +(65.1932 + 200.644i) q^{36} +(-17.1502 + 52.7828i) q^{37} +(13.2572 - 40.8014i) q^{38} +(1.83760 + 5.65554i) q^{39} +(-58.6711 - 48.2718i) q^{40} +(10.6827 - 32.8778i) q^{41} +(0.428879 + 0.311599i) q^{42} +149.171 q^{43} +(-207.710 - 150.910i) q^{44} +(-110.346 + 280.908i) q^{45} +(-16.3580 + 11.8848i) q^{46} +(483.450 - 351.247i) q^{47} +(-1.40621 - 4.32787i) q^{48} -81.8652 q^{49} +(-10.3480 - 52.7039i) q^{50} -5.41542 q^{51} +(188.105 + 578.929i) q^{52} +(392.226 - 284.969i) q^{53} +(1.43301 - 1.04114i) q^{54} +(-92.2969 - 355.500i) q^{55} +(88.8415 + 64.5471i) q^{56} +7.62292 q^{57} +(-7.26886 - 5.28114i) q^{58} +(91.3523 - 281.153i) q^{59} +(2.43914 - 6.20930i) q^{60} +(153.931 + 473.752i) q^{61} +(-19.8504 + 61.0932i) q^{62} +(134.798 - 414.867i) q^{63} +(-136.728 - 420.805i) q^{64} +(-318.388 + 810.519i) q^{65} +(-0.333025 + 1.02494i) q^{66} +(-419.059 - 304.464i) q^{67} -554.349 q^{68} +(-2.90658 - 2.11175i) q^{69} +(19.5082 + 75.1396i) q^{70} +(-701.761 + 509.860i) q^{71} +(148.407 - 107.824i) q^{72} +(50.3894 + 155.083i) q^{73} +23.8469 q^{74} +(8.33820 - 4.64255i) q^{75} +780.320 q^{76} +(164.045 + 504.880i) q^{77} +(2.06715 - 1.50187i) q^{78} +(-342.139 + 248.578i) q^{79} +(243.644 - 620.244i) q^{80} +(-589.391 - 428.218i) q^{81} -14.8540 q^{82} +(331.422 + 240.792i) q^{83} +(-2.97964 + 9.17038i) q^{84} +(-612.396 - 503.849i) q^{85} +(-19.8067 - 60.9588i) q^{86} +(0.493337 - 1.51834i) q^{87} +(-68.9854 + 212.315i) q^{88} +(353.657 + 1088.44i) q^{89} +(129.445 + 7.79447i) q^{90} +(388.941 - 1197.04i) q^{91} +(-297.532 - 216.169i) q^{92} -11.4140 q^{93} +(-207.729 - 150.924i) q^{94} +(862.029 + 709.235i) q^{95} +(-4.93981 + 3.58898i) q^{96} +(1127.96 - 819.508i) q^{97} +(10.8700 + 33.4543i) q^{98} +886.787 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 28 q - q^{2} - 7 q^{3} - 31 q^{4} - 20 q^{5} + q^{6} - 16 q^{7} + 100 q^{8} - 34 q^{9}+O(q^{10}) $ 28 * q - q^2 - 7 * q^3 - 31 * q^4 - 20 * q^5 + q^6 - 16 * q^7 + 100 * q^8 - 34 * q^9	\( 28 q - q^{2} - 7 q^{3} - 31 q^{4} - 20 q^{5} + q^{6} - 16 q^{7} + 100 q^{8} - 34 q^{9} - 25 q^{10} - 89 q^{11} + 139 q^{12} + 33 q^{13} - 17 q^{14} + 225 q^{15} - 207 q^{16} - 191 q^{17} - 552 q^{18} - 115 q^{19} - 225 q^{20} - 144 q^{21} + 808 q^{22} + 433 q^{23} + 780 q^{24} + 90 q^{25} + 586 q^{26} + 35 q^{27} - 13 q^{28} - 5 q^{29} + 675 q^{30} - 639 q^{31} - 1386 q^{32} + 251 q^{33} - 777 q^{34} - 1030 q^{35} + 673 q^{36} + 699 q^{37} - 2355 q^{38} - 1133 q^{39} + 410 q^{40} + 341 q^{41} - 2407 q^{42} - 172 q^{43} + 548 q^{44} + 470 q^{45} - 1239 q^{46} + 2319 q^{47} + 4738 q^{48} + 1344 q^{49} + 2335 q^{50} + 2006 q^{51} + 2344 q^{52} - 927 q^{53} + 1615 q^{54} + 1225 q^{55} - 2910 q^{56} - 770 q^{57} + 2410 q^{58} - 1905 q^{59} - 12030 q^{60} + 1391 q^{61} - 3832 q^{62} - 6142 q^{63} - 3596 q^{64} + 1215 q^{65} + 3632 q^{66} - 3611 q^{67} + 3622 q^{68} + 2687 q^{69} + 560 q^{70} - 3719 q^{71} + 9025 q^{72} + 4593 q^{73} + 4848 q^{74} + 3815 q^{75} + 3520 q^{76} + 1368 q^{77} - 3679 q^{78} + 775 q^{79} + 9500 q^{80} - 3712 q^{81} - 6762 q^{82} - 2447 q^{83} - 7612 q^{84} - 8185 q^{85} + 3891 q^{86} - 85 q^{87} - 10960 q^{88} - 5075 q^{89} + 685 q^{90} + 376 q^{91} - 8456 q^{92} + 4366 q^{93} + 3573 q^{94} + 3265 q^{95} - 7754 q^{96} + 7439 q^{97} + 7082 q^{98} + 6572 q^{99}+O(q^{100}) \) 28 * q - q^2 - 7 * q^3 - 31 * q^4 - 20 * q^5 + q^6 - 16 * q^7 + 100 * q^8 - 34 * q^9 - 25 * q^10 - 89 * q^11 + 139 * q^12 + 33 * q^13 - 17 * q^14 + 225 * q^15 - 207 * q^16 - 191 * q^17 - 552 * q^18 - 115 * q^19 - 225 * q^20 - 144 * q^21 + 808 * q^22 + 433 * q^23 + 780 * q^24 + 90 * q^25 + 586 * q^26 + 35 * q^27 - 13 * q^28 - 5 * q^29 + 675 * q^30 - 639 * q^31 - 1386 * q^32 + 251 * q^33 - 777 * q^34 - 1030 * q^35 + 673 * q^36 + 699 * q^37 - 2355 * q^38 - 1133 * q^39 + 410 * q^40 + 341 * q^41 - 2407 * q^42 - 172 * q^43 + 548 * q^44 + 470 * q^45 - 1239 * q^46 + 2319 * q^47 + 4738 * q^48 + 1344 * q^49 + 2335 * q^50 + 2006 * q^51 + 2344 * q^52 - 927 * q^53 + 1615 * q^54 + 1225 * q^55 - 2910 * q^56 - 770 * q^57 + 2410 * q^58 - 1905 * q^59 - 12030 * q^60 + 1391 * q^61 - 3832 * q^62 - 6142 * q^63 - 3596 * q^64 + 1215 * q^65 + 3632 * q^66 - 3611 * q^67 + 3622 * q^68 + 2687 * q^69 + 560 * q^70 - 3719 * q^71 + 9025 * q^72 + 4593 * q^73 + 4848 * q^74 + 3815 * q^75 + 3520 * q^76 + 1368 * q^77 - 3679 * q^78 + 775 * q^79 + 9500 * q^80 - 3712 * q^81 - 6762 * q^82 - 2447 * q^83 - 7612 * q^84 - 8185 * q^85 + 3891 * q^86 - 85 * q^87 - 10960 * q^88 - 5075 * q^89 + 685 * q^90 + 376 * q^91 - 8456 * q^92 + 4366 * q^93 + 3573 * q^94 + 3265 * q^95 - 7754 * q^96 + 7439 * q^97 + 7082 * q^98 + 6572 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/25\mathbb{Z}\right)^\times$.

$n$	$2$
$\chi(n)$	$e\left(\frac{2}{5}\right)$

Coefficient data

For each $n$ we display the coefficients of the $q$-expansion $a_n$, the Satake parameters $\alpha_p$, and the Satake angles $\theta_p = \textrm{Arg}(\alpha_p)$.

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

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

$2$	−0.132779	−	0.408651i	−0.0469444	−	0.144480i	0.924837	−	0.380364i	$-0.124201\pi$
$2$	−0.132779	−	0.408651i	−0.0469444	−	0.144480i	−0.971781	+	0.235884i	$0.924201\pi$
$3$	0.0617670	−	0.0448763i	0.0118871	−	0.00863646i	−0.581826	−	0.813313i	$-0.697661\pi$
$3$	0.0617670	−	0.0448763i	0.0118871	−	0.00863646i	0.593713	+	0.804677i	$0.297661\pi$
$4$	6.32277	−	4.59376i	0.790346	−	0.574220i
$5$	11.1601	+	0.672002i	0.998192	+	0.0601057i
$5$	11.1601	+	0.672002i	0.998192	+	0.0601057i
$6$	−0.0265401	−	0.0192825i	−0.00180583	−	0.00131201i
$7$	−16.1597			−0.872540			−0.436270	−	0.899816i	$-0.643701\pi$
$7$	−16.1597			−0.872540			−0.436270	+	0.899816i	$0.643701\pi$
$8$	−5.49773	−	3.99433i	−0.242968	−	0.176526i
$9$	−8.34166	+	25.6730i	−0.308950	+	0.950851i
$10$	−1.20721	−	4.64982i	−0.0381754	−	0.147040i
$11$	−10.1515	−	31.2432i	−0.278255	−	0.856380i	−0.988340	−	0.152264i	$-0.951344\pi$
$11$	−10.1515	−	31.2432i	−0.278255	−	0.856380i	0.710085	−	0.704116i	$-0.248656\pi$
$12$	0.184387	−	0.567486i	0.00443567	−	0.0136516i
$13$	−24.0686	+	74.0757i	−0.513495	+	1.58038i	0.272508	+	0.962154i	$0.412147\pi$
$13$	−24.0686	+	74.0757i	−0.513495	+	1.58038i	−0.786003	+	0.618223i	$0.787853\pi$
$14$	2.14566	+	6.60366i	0.0409608	+	0.126065i
$15$	0.719484	−	0.459318i	0.0123847	−	0.00790636i
$16$	18.4184	−	56.6859i	0.287787	−	0.885717i
$17$	−57.3840	−	41.6919i	−0.818686	−	0.594811i	0.0976495	−	0.995221i	$-0.468868\pi$
$17$	−57.3840	−	41.6919i	−0.818686	−	0.594811i	−0.916336	+	0.400410i	$0.868868\pi$
$18$	11.5989			0.151882
$19$	80.7756	+	58.6869i	0.975326	+	0.708616i	0.956659	−	0.291210i	$-0.0940577\pi$
$19$	80.7756	+	58.6869i	0.975326	+	0.708616i	0.0186672	+	0.999826i	$0.494058\pi$
$20$	73.6499	−	47.0180i	0.823431	−	0.525678i
$21$	−0.998134	+	0.725187i	−0.0103719	+	0.00753565i
$22$	−11.4197	+	8.29687i	−0.110667	+	0.0804044i
$23$	−14.5415	−	44.7540i	−0.131831	−	0.405733i	0.863253	−	0.504772i	$-0.168423\pi$
$23$	−14.5415	−	44.7540i	−0.131831	−	0.405733i	−0.995084	+	0.0990386i	$0.968423\pi$
$24$	−0.518829			−0.00441273
$25$	124.097	+	14.9993i	0.992775	+	0.119994i
$26$	33.4669			0.252438
$27$	1.27388	+	3.92060i	0.00907993	+	0.0279451i
$28$	−102.174	+	74.2337i	−0.689609	+	0.501030i
$29$	16.9169	−	12.2908i	0.108324	−	0.0787017i	−0.532305	−	0.846553i	$-0.678674\pi$
$29$	16.9169	−	12.2908i	0.108324	−	0.0787017i	0.640628	+	0.767851i	$0.278674\pi$
$30$	−0.283233	−	0.233030i	−0.00172370	−	0.00141818i
$31$	−120.948	−	87.8738i	−0.700738	−	0.509116i	0.179434	−	0.983770i	$-0.442573\pi$
$31$	−120.948	−	87.8738i	−0.700738	−	0.509116i	−0.880173	+	0.474654i	$0.842573\pi$
$32$	−79.9748			−0.441803
$33$	−2.02911	−	1.47423i	−0.0107037	−	0.00777671i
$34$	−9.41807	+	28.9858i	−0.0475055	+	0.146207i
$35$	−180.344	−	10.8593i	−0.870962	−	0.0524446i
$36$	65.1932	+	200.644i	0.301820	+	0.928907i
$37$	−17.1502	+	52.7828i	−0.0762019	+	0.234525i	−0.981901	−	0.189396i	$-0.939347\pi$
$37$	−17.1502	+	52.7828i	−0.0762019	+	0.234525i	0.905699	+	0.423922i	$0.139347\pi$
$38$	13.2572	−	40.8014i	0.0565947	−	0.174181i
$39$	1.83760	+	5.65554i	0.00754490	+	0.0232208i
$40$	−58.6711	−	48.2718i	−0.231918	−	0.190811i
$41$	10.6827	−	32.8778i	0.0406915	−	0.125235i	−0.928647	−	0.370964i	$-0.879027\pi$
$41$	10.6827	−	32.8778i	0.0406915	−	0.125235i	0.969339	+	0.245729i	$0.0790273\pi$
$42$	0.428879	+	0.311599i	0.00157565	+	0.00114478i
$43$	149.171			0.529031			0.264515	−	0.964381i	$-0.414788\pi$
$43$	149.171			0.529031			0.264515	+	0.964381i	$0.414788\pi$
$44$	−207.710	−	150.910i	−0.711668	−	0.517057i
$45$	−110.346	+	280.908i	−0.365543	+	0.930562i
$46$	−16.3580	+	11.8848i	−0.0524316	+	0.0380938i
$47$	483.450	−	351.247i	1.50039	−	1.09010i	0.530168	−	0.847892i	$-0.322129\pi$
$47$	483.450	−	351.247i	1.50039	−	1.09010i	0.970225	−	0.242207i	$-0.0778713\pi$
$48$	−1.40621	−	4.32787i	−0.00422852	−	0.0130140i
$49$	−81.8652			−0.238674
$50$	−10.3480	−	52.7039i	−0.0292685	−	0.149069i
$51$	−5.41542			−0.0148688
$52$	188.105	+	578.929i	0.501645	+	1.54390i
$53$	392.226	−	284.969i	1.01654	−	0.738557i	0.0509666	−	0.998700i	$-0.483770\pi$
$53$	392.226	−	284.969i	1.01654	−	0.738557i	0.965570	+	0.260143i	$0.0837698\pi$
$54$	1.43301	−	1.04114i	0.00361126	−	0.00262373i
$55$	−92.2969	−	355.500i	−0.226278	−	0.871556i
$56$	88.8415	+	64.5471i	0.211999	+	0.154026i
$57$	7.62292			0.0177137
$58$	−7.26886	−	5.28114i	−0.0164560	−	0.0119560i
$59$	91.3523	−	281.153i	0.201577	−	0.620391i	−0.798259	−	0.602314i	$-0.794246\pi$
$59$	91.3523	−	281.153i	0.201577	−	0.620391i	0.999837	−	0.0180770i	$-0.00575441\pi$
$60$	2.43914	−	6.20930i	0.00524819	−	0.0133603i
$61$	153.931	+	473.752i	0.323097	+	0.994389i	0.972292	+	0.233768i	$0.0751055\pi$
$61$	153.931	+	473.752i	0.323097	+	0.994389i	−0.649196	+	0.760621i	$0.724894\pi$
$62$	−19.8504	+	61.0932i	−0.0406613	+	0.125143i
$63$	134.798	−	414.867i	0.269571	−	0.829656i
$64$	−136.728	−	420.805i	−0.267047	−	0.821885i
$65$	−318.388	+	810.519i	−0.607557	+	1.54665i
$66$	−0.333025	+	1.02494i	−0.000621099	+	0.00191155i
$67$	−419.059	−	304.464i	−0.764122	−	0.555167i	0.136050	−	0.990702i	$-0.456559\pi$
$67$	−419.059	−	304.464i	−0.764122	−	0.555167i	−0.900172	+	0.435535i	$0.856559\pi$
$68$	−554.349			−0.988598
$69$	−2.90658	−	2.11175i	−0.00507118	−	0.00368442i
$70$	19.5082	+	75.1396i	0.0333096	+	0.128299i
$71$	−701.761	+	509.860i	−1.17301	+	0.852242i	−0.991366	−	0.131122i	$-0.958142\pi$
$71$	−701.761	+	509.860i	−1.17301	+	0.852242i	−0.181644	+	0.983364i	$0.558142\pi$
$72$	148.407	−	107.824i	0.242915	−	0.176488i
$73$	50.3894	+	155.083i	0.0807895	+	0.248644i	0.983291	−	0.182043i	$-0.0582711\pi$
$73$	50.3894	+	155.083i	0.0807895	+	0.248644i	−0.902501	+	0.430688i	$0.858271\pi$
$74$	23.8469			0.0374615
$75$	8.33820	−	4.64255i	0.0128375	−	0.00714768i
$76$	780.320			1.17775
$77$	164.045	+	504.880i	0.242788	+	0.747226i
$78$	2.06715	−	1.50187i	0.00300075	−	0.00218017i
$79$	−342.139	+	248.578i	−0.487261	+	0.354016i	−0.804130	−	0.594453i	$-0.797368\pi$
$79$	−342.139	+	248.578i	−0.487261	+	0.354016i	0.316869	+	0.948469i	$0.397368\pi$
$80$	243.644	−	620.244i	0.340503	−	0.866818i
$81$	−589.391	−	428.218i	−0.808493	−	0.587405i
$82$	−14.8540			−0.0200042
$83$	331.422	+	240.792i	0.438292	+	0.318438i	0.784956	−	0.619551i	$-0.212685\pi$
$83$	331.422	+	240.792i	0.438292	+	0.318438i	−0.346664	+	0.937990i	$0.612685\pi$
$84$	−2.97964	+	9.17038i	−0.00387030	+	0.0119116i
$85$	−612.396	−	503.849i	−0.781455	−	0.642943i
$86$	−19.8067	−	60.9588i	−0.0248350	−	0.0764344i
$87$	0.493337	−	1.51834i	0.000607946	−	0.00187107i
$88$	−68.9854	+	212.315i	−0.0835667	+	0.257192i
$89$	353.657	+	1088.44i	0.421208	+	1.29635i	0.906578	+	0.422037i	$0.138685\pi$
$89$	353.657	+	1088.44i	0.421208	+	1.29635i	−0.485370	+	0.874309i	$0.661315\pi$
$90$	129.445	+	7.79447i	0.151608	+	0.00912900i
$91$	388.941	−	1197.04i	0.448045	−	1.37894i
$92$	−297.532	−	216.169i	−0.337172	−	0.244970i
$93$	−11.4140			−0.0127267
$94$	−207.729	−	150.924i	−0.227932	−	0.165603i
$95$	862.029	+	709.235i	0.930971	+	0.765958i
$96$	−4.93981	+	3.58898i	−0.00525174	+	0.00381561i
$97$	1127.96	−	819.508i	1.18069	−	0.857819i	0.188438	−	0.982085i	$-0.439658\pi$
$97$	1127.96	−	819.508i	1.18069	−	0.857819i	0.992249	+	0.124266i	$0.0396577\pi$
$98$	10.8700	+	33.4543i	0.0112044	+	0.0344836i
$99$	886.787			0.900257
$100$	853.539	−	475.234i	0.853539	−	0.475234i
$101$	174.865			0.172274			0.0861372	−	0.996283i	$-0.472548\pi$
$101$	174.865			0.172274			0.0861372	+	0.996283i	$0.472548\pi$
$102$	0.719053	+	2.21302i	0.000698008	+	0.00214825i
$103$	−746.468	+	542.341i	−0.714094	+	0.518820i	−0.884492	−	0.466556i	$-0.845495\pi$
$103$	−746.468	+	542.341i	−0.714094	+	0.518820i	0.170398	+	0.985375i	$0.445495\pi$
$104$	428.206	−	311.110i	0.403741	−	0.293335i
$105$	−11.6266	+	7.42243i	−0.0108061	+	0.00689862i
$106$	−168.532	−	122.446i	−0.154427	−	0.112198i
$107$	−1957.78			−1.76884			−0.884420	−	0.466692i	$-0.845446\pi$
$107$	−1957.78			−1.76884			−0.884420	+	0.466692i	$0.845446\pi$
$108$	26.0647	+	18.9371i	0.0232230	+	0.0168725i
$109$	−161.965	+	498.476i	−0.142325	+	0.438031i	−0.996657	−	0.0816960i	$-0.973966\pi$
$109$	−161.965	+	498.476i	−0.142325	+	0.438031i	0.854332	+	0.519727i	$0.173966\pi$
$110$	−133.020	+	84.9200i	−0.115300	+	0.0736073i
$111$	1.30938	+	4.02987i	0.00111965	+	0.00344593i
$112$	−297.635	+	916.025i	−0.251106	+	0.772823i
$113$	−212.446	+	653.842i	−0.176861	+	0.544321i	−0.999714	−	0.0239334i	$-0.992381\pi$
$113$	−212.446	+	653.842i	−0.176861	+	0.544321i	0.822853	+	0.568254i	$0.192381\pi$
$114$	−1.01216	−	3.11512i	−0.000831559	−	0.00255927i
$115$	−132.210	−	509.232i	−0.107205	−	0.412923i
$116$	50.5004	−	155.424i	0.0404211	−	0.124403i
$117$	−1700.97	−	1235.83i	−1.34406	−	0.976515i
$118$	−127.023			−0.0990969
$119$	927.307	+	673.728i	0.714337	+	0.518996i
$120$	−5.79020	−	0.348654i	−0.00440475	−	0.000265230i
$121$	203.718	−	148.010i	0.153056	−	0.111202i
$122$	173.160	−	125.808i	0.128502	−	0.0933619i
$123$	−0.815601	−	2.51016i	−0.000597889	−	0.00184011i
$124$	−1168.40			−0.846170
$125$	1374.86	+	250.787i	0.983767	+	0.179448i
$126$	−187.434			−0.132523
$127$	571.272	+	1758.20i	0.399151	+	1.22846i	0.925681	+	0.378305i	$0.123493\pi$
$127$	571.272	+	1758.20i	0.399151	+	1.22846i	−0.526530	+	0.850157i	$0.676507\pi$
$128$	−671.416	+	487.812i	−0.463636	+	0.336851i
$129$	9.21383	−	6.69424i	0.00628862	−	0.00456895i
$130$	373.495	+	22.4898i	0.251982	+	0.0151730i
$131$	−1080.44	−	784.987i	−0.720600	−	0.523547i	0.165976	−	0.986130i	$-0.446923\pi$
$131$	−1080.44	−	784.987i	−0.720600	−	0.523547i	−0.886576	+	0.462583i	$0.846923\pi$
$132$	−19.6019			−0.0129252
$133$	−1305.31	−	948.361i	−0.851011	−	0.618296i
$134$	−68.7774	+	211.675i	−0.0443393	+	0.136462i
$135$	11.5820	+	44.6104i	0.00738385	+	0.0284404i
$136$	148.950	+	458.422i	0.0939146	+	0.289039i
$137$	389.732	−	1199.47i	0.243044	−	0.748013i	−0.752908	−	0.658126i	$-0.771349\pi$
$137$	389.732	−	1199.47i	0.243044	−	0.748013i	0.995952	−	0.0898872i	$-0.0286507\pi$
$138$	−0.477038	+	1.46817i	−0.000294262	+	0.000905646i
$139$	−454.784	−	1399.68i	−0.277513	−	0.854097i	−0.988544	−	0.150936i	$-0.951771\pi$
$139$	−454.784	−	1399.68i	−0.277513	−	0.854097i	0.711031	−	0.703161i	$-0.248229\pi$
$140$	−1190.16	+	759.796i	−0.718477	+	0.458675i
$141$	14.0986	−	43.3910i	0.00842067	−	0.0259162i
$142$	301.534	+	219.077i	0.178198	+	0.129469i
$143$	2558.69			1.49628
$144$	1301.66	+	945.708i	0.753273	+	0.547285i
$145$	197.054	−	125.799i	0.112858	−	0.0720486i
$146$	56.6840	−	41.1833i	0.0321315	−	0.0233449i
$147$	−5.05657	+	3.67381i	−0.00283713	+	0.00206130i
$148$	134.035	+	412.517i	0.0744433	+	0.229113i
$149$	−391.740			−0.215386			−0.107693	−	0.994184i	$-0.534346\pi$
$149$	−391.740			−0.215386			−0.107693	+	0.994184i	$0.534346\pi$
$150$	−3.00432	−	2.79098i	−0.00163534	−	0.00151922i
$151$	2110.18			1.13724			0.568622	−	0.822599i	$-0.307477\pi$
$151$	2110.18			1.13724			0.568622	+	0.822599i	$0.307477\pi$
$152$	−209.667	−	645.290i	−0.111883	−	0.344342i
$153$	1549.03	−	1125.44i	0.818510	−	0.594682i
$154$	184.538	−	134.075i	0.0965616	−	0.0701561i
$155$	−1290.74	−	1061.96i	−0.668870	−	0.550314i
$156$	37.5989	+	27.3172i	0.0192969	+	0.0140200i
$157$	2186.27			1.11136			0.555678	−	0.831397i	$-0.312459\pi$
$157$	2186.27			1.11136			0.555678	+	0.831397i	$0.312459\pi$
$158$	147.011	+	106.809i	0.0740224	+	0.0537804i
$159$	11.4383	−	35.2034i	0.00570512	−	0.0175585i
$160$	−892.529	−	53.7433i	−0.441004	−	0.0265549i
$161$	234.985	+	723.210i	0.115028	+	0.354018i
$162$	−96.7330	+	297.714i	−0.0469140	+	0.144386i
$163$	−512.057	+	1575.95i	−0.246058	+	0.757288i	0.749403	+	0.662114i	$0.230341\pi$
$163$	−512.057	+	1575.95i	−0.246058	+	0.757288i	−0.995461	+	0.0951736i	$0.969659\pi$
$164$	−83.4889	−	256.952i	−0.0397524	−	0.122345i
$165$	−21.6544	−	17.8162i	−0.0102169	−	0.00840600i
$166$	54.3941	−	167.408i	0.0254325	−	0.0782733i
$167$	1599.49	+	1162.09i	0.741149	+	0.538476i	0.893071	−	0.449916i	$-0.148546\pi$
$167$	1599.49	+	1162.09i	0.741149	+	0.538476i	−0.151922	+	0.988393i	$0.548546\pi$
$168$	8.38411			0.00385029
$169$	−3130.49	−	2274.44i	−1.42489	−	1.03525i
$170$	−124.585	+	317.157i	−0.0562074	+	0.143087i
$171$	−2180.47	+	1584.21i	−0.975116	+	0.708463i
$172$	943.173	−	685.255i	0.418118	−	0.303780i
$173$	−724.056	−	2228.41i	−0.318202	−	0.979325i	−0.974416	−	0.224751i	$-0.927843\pi$
$173$	−724.056	−	2228.41i	−0.318202	−	0.979325i	0.656214	−	0.754575i	$-0.272157\pi$
$174$	−0.685974			−0.000298871
$175$	−2005.36	−	242.383i	−0.866235	−	0.104700i
$176$	−1958.02			−0.838588
$177$	−6.97458	−	21.4656i	−0.00296182	−	0.00911554i
$178$	397.836	−	289.044i	0.167523	−	0.121712i
$179$	449.675	−	326.708i	0.187767	−	0.136421i	−0.489930	−	0.871762i	$-0.662978\pi$
$179$	449.675	−	326.708i	0.187767	−	0.136421i	0.677698	+	0.735341i	$0.262978\pi$
$180$	592.731	+	2283.02i	0.245442	+	0.945369i
$181$	2539.21	+	1844.84i	1.04275	+	0.757603i	0.970821	−	0.239806i	$-0.0770840\pi$
$181$	2539.21	+	1844.84i	1.04275	+	0.757603i	0.0719307	+	0.997410i	$0.477084\pi$
$182$	−540.814			−0.220263
$183$	30.7681	+	22.3544i	0.0124287	+	0.00902996i
$184$	−98.8175	+	304.129i	−0.0395920	+	0.121852i
$185$	−226.868	+	577.538i	−0.0901604	+	0.229521i
$186$	1.51554	+	4.66436i	0.000597446	+	0.00183875i
$187$	−720.054	+	2216.10i	−0.281580	+	0.866615i
$188$	1443.20	−	4441.71i	0.559873	−	1.72311i
$189$	−20.5855	−	63.3555i	−0.00792260	−	0.0243833i
$190$	175.370	−	446.440i	0.0669616	−	0.170464i
$191$	−971.580	+	2990.22i	−0.368069	+	1.13280i	0.579969	+	0.814639i	$0.303065\pi$
$191$	−971.580	+	2990.22i	−0.368069	+	1.13280i	−0.948037	+	0.318160i	$0.896935\pi$
$192$	−27.3295	−	19.8560i	−0.0102726	−	0.00746347i
$193$	−3116.00			−1.16215			−0.581074	−	0.813851i	$-0.697367\pi$
$193$	−3116.00			−1.16215			−0.581074	+	0.813851i	$0.697367\pi$
$194$	−484.661	−	352.127i	−0.179364	−	0.130316i
$195$	16.7073	+	64.3514i	0.00613556	+	0.0236323i
$196$	−517.615	+	376.069i	−0.188635	+	0.137051i
$197$	−1192.33	+	866.278i	−0.431218	+	0.313298i	−0.782136	−	0.623108i	$-0.785870\pi$
$197$	−1192.33	+	866.278i	−0.431218	+	0.313298i	0.350918	+	0.936406i	$0.385870\pi$
$198$	−117.746	−	362.386i	−0.0422620	−	0.130069i
$199$	475.734			0.169467			0.0847334	−	0.996404i	$-0.472996\pi$
$199$	475.734			0.169467			0.0847334	+	0.996404i	$0.472996\pi$
$200$	−622.339	−	578.146i	−0.220030	−	0.204405i
$201$	−39.5472			−0.0138778
$202$	−23.2184	−	71.4587i	−0.00808732	−	0.0248902i
$203$	−273.371	+	198.616i	−0.0945167	+	0.0686704i
$204$	−34.2405	+	24.8771i	−0.0117515	+	0.00853798i
$205$	141.314	−	359.742i	0.0481453	−	0.122563i
$206$	320.743	+	233.034i	0.108482	+	0.0788166i
$207$	1270.27			0.426521
$208$	3755.74	+	2728.70i	1.25199	+	0.909623i
$209$	1013.57	−	3119.45i	0.335455	−	1.03243i
$210$	4.57695	+	3.76569i	0.00150400	+	0.00123742i
$211$	−576.264	−	1773.56i	−0.188017	−	0.578657i	0.811970	−	0.583699i	$-0.198395\pi$
$211$	−576.264	−	1773.56i	−0.188017	−	0.578657i	−0.999987	+	0.00504161i	$0.998395\pi$
$212$	1170.88	−	3603.59i	0.379322	−	1.16743i
$213$	−20.4651	+	62.9850i	−0.00658330	+	0.0202613i
$214$	259.952	+	800.049i	0.0830371	+	0.255562i
$215$	1664.76	+	100.243i	0.528074	+	0.0317978i
$216$	8.65673	−	26.6427i	0.00272692	−	0.00839261i
$217$	1954.48	+	1420.01i	0.611422	+	0.444224i
$218$	225.208			0.0699681
$219$	10.0719	+	7.31769i	0.00310776	+	0.00225792i
$220$	−2216.65	−	1823.75i	−0.679303	−	0.558898i
$221$	4469.51	−	3247.29i	1.36042	−	0.988400i
$222$	1.47295	−	1.07016i	0.000445307	−	0.000323534i
$223$	1254.25	+	3860.20i	0.376642	+	1.15918i	0.942364	+	0.334588i	$0.108597\pi$
$223$	1254.25	+	3860.20i	0.376642	+	1.15918i	−0.565723	+	0.824595i	$0.691403\pi$
$224$	1292.37			0.385491
$225$	−1420.25	+	3060.82i	−0.420814	+	0.906909i
$226$	295.401			0.0869461
$227$	−676.107	−	2080.84i	−0.197686	−	0.608416i	−0.999935	−	0.0114254i	$-0.996363\pi$
$227$	−676.107	−	2080.84i	−0.197686	−	0.608416i	0.802249	−	0.596990i	$-0.203637\pi$
$228$	48.1980	−	35.0179i	0.0140000	−	0.0101716i
$229$	−3695.57	+	2684.99i	−1.06642	+	0.774798i	−0.975265	−	0.221039i	$-0.929055\pi$
$229$	−3695.57	+	2684.99i	−1.06642	+	0.774798i	−0.0911533	+	0.995837i	$0.529055\pi$
$230$	−190.544	+	121.643i	−0.0546264	+	0.0348735i
$231$	32.7897	+	23.8231i	0.00933942	+	0.00678549i
$232$	−142.098			−0.0402121
$233$	−2841.92	−	2064.77i	−0.799057	−	0.580549i	0.111580	−	0.993755i	$-0.464409\pi$
$233$	−2841.92	−	2064.77i	−0.799057	−	0.580549i	−0.910637	+	0.413207i	$0.864409\pi$
$234$	−279.169	+	859.195i	−0.0779909	+	0.240031i
$235$	5631.40	−	3595.08i	1.56320	−	0.997946i
$236$	−713.952	−	2197.32i	−0.196925	−	0.606073i
$237$	−9.97759	+	30.7079i	−0.00273466	+	0.00841642i
$238$	152.193	−	468.401i	0.0414504	−	0.127571i
$239$	699.816	+	2153.81i	0.189403	+	0.582923i	0.999996	−	0.00268657i	$-0.000855161\pi$
$239$	699.816	+	2153.81i	0.189403	+	0.582923i	−0.810593	+	0.585610i	$0.800855\pi$
$240$	−12.7851	−	49.2445i	−0.00343865	−	0.0132447i
$241$	367.193	−	1130.10i	0.0981450	−	0.302059i	−0.889916	−	0.456125i	$-0.849237\pi$
$241$	367.193	−	1130.10i	0.0981450	−	0.302059i	0.988061	+	0.154066i	$0.0492369\pi$
$242$	−87.5336	−	63.5969i	−0.0232516	−	0.0168932i
$243$	−166.925			−0.0440670
$244$	3149.58	+	2288.30i	0.826356	+	0.600383i
$245$	−913.626	−	55.0136i	−0.238243	−	0.0143457i
$246$	−0.917486	+	0.666593i	−0.000237792	+	0.000172766i
$247$	−6291.43	+	4570.99i	−1.62071	+	1.17751i
$248$	313.941	+	966.212i	0.0803843	+	0.247397i
$249$	31.2768			0.00796019
$250$	−80.0675	−	595.136i	−0.0202556	−	0.150559i
$251$	−5391.95			−1.35592			−0.677962	−	0.735097i	$-0.737137\pi$
$251$	−5391.95			−1.35592			−0.677962	+	0.735097i	$0.737137\pi$
$252$	−1053.50	−	3242.34i	−0.263350	−	0.810509i
$253$	−1250.64	+	908.644i	−0.310779	+	0.225794i
$254$	642.635	−	466.902i	0.158750	−	0.115339i
$255$	−60.4368	−	3.63917i	−0.0148419	−	0.000893701i
$256$	−2575.17	−	1870.97i	−0.628704	−	0.456780i
$257$	−352.549			−0.0855695			−0.0427848	−	0.999084i	$-0.513623\pi$
$257$	−352.549			−0.0855695			−0.0427848	+	0.999084i	$0.513623\pi$
$258$	−3.95901	−	2.87639i	−0.000955338	−	0.000694093i
$259$	277.141	−	852.952i	0.0664892	−	0.204633i
$260$	1710.24	+	6587.33i	0.407940	+	1.57126i
$261$	174.428	+	536.833i	0.0413670	+	0.127315i
$262$	−177.326	+	545.753i	−0.0418139	+	0.128690i
$263$	−1823.75	+	5612.93i	−0.427594	+	1.31600i	0.472894	+	0.881119i	$0.343209\pi$
$263$	−1823.75	+	5612.93i	−0.427594	+	1.31600i	−0.900488	+	0.434881i	$0.856791\pi$
$264$	5.26691	+	16.2099i	0.00122786	+	0.00377898i
$265$	4568.80	−	2916.71i	1.05909	−	0.676122i
$266$	−214.232	+	659.337i	−0.0493812	+	0.151980i
$267$	70.6897	+	51.3591i	0.0162028	+	0.0117720i
$268$	−4048.24			−0.922709
$269$	−205.635	−	149.403i	−0.0466089	−	0.0338633i	0.564237	−	0.825613i	$-0.309170\pi$
$269$	−205.635	−	149.403i	−0.0466089	−	0.0338633i	−0.610846	+	0.791750i	$0.709170\pi$
$270$	16.6922	−	10.6563i	0.00376243	−	0.00240193i
$271$	4481.04	−	3255.67i	1.00444	−	0.729770i	0.0414058	−	0.999142i	$-0.486816\pi$
$271$	4481.04	−	3255.67i	1.00444	−	0.729770i	0.963036	+	0.269373i	$0.0868164\pi$
$272$	−3420.26	+	2484.97i	−0.762441	+	0.553946i
$273$	−29.6950	−	91.3917i	−0.00658323	−	0.0202611i
$274$	−541.914			−0.119482
$275$	−791.148	−	4029.45i	−0.173484	−	0.883581i
$276$	−28.0785			−0.00612366
$277$	−2150.27	−	6617.86i	−0.466417	−	1.43548i	−0.857192	−	0.514997i	$-0.827793\pi$
$277$	−2150.27	−	6617.86i	−0.466417	−	1.43548i	0.390775	−	0.920486i	$-0.372207\pi$
$278$	−511.596	+	371.696i	−0.110372	+	0.0801901i
$279$	3264.89	−	2372.08i	0.700587	−	0.509006i
$280$	948.106	+	780.055i	0.202358	+	0.166490i
$281$	4487.15	+	3260.10i	0.952600	+	0.692105i	0.951420	−	0.307895i	$-0.0996244\pi$
$281$	4487.15	+	3260.10i	0.952600	+	0.692105i	0.00117988	+	0.999999i	$0.499624\pi$
$282$	−19.6038			−0.00413967
$283$	−2292.25	−	1665.42i	−0.481485	−	0.349820i	0.320415	−	0.947277i	$-0.396178\pi$
$283$	−2292.25	−	1665.42i	−0.481485	−	0.349820i	−0.801900	+	0.597458i	$0.796178\pi$
$284$	−2094.90	+	6447.45i	−0.437710	+	1.34713i
$285$	85.0728	+	5.12262i	0.0176817	+	0.00106469i
$286$	−339.740	−	1045.61i	−0.0702422	−	0.216183i
$287$	−172.628	+	531.295i	−0.0355049	+	0.109273i
$288$	667.123	−	2053.19i	0.136495	−	0.420089i
$289$	36.5082	+	112.361i	0.00743093	+	0.0228701i
$290$	−77.5725	−	63.8229i	−0.0157076	−	0.0129235i
$291$	32.8939	−	101.237i	0.00662638	−	0.0203939i
$292$	1031.01	+	749.075i	0.206628	+	0.150124i
$293$	4593.67			0.915921			0.457961	−	0.888973i	$-0.348580\pi$
$293$	4593.67			0.915921			0.457961	+	0.888973i	$0.348580\pi$
$294$	2.17271	+	1.57857i	0.000431004	+	0.000313143i
$295$	1208.44	−	3076.32i	0.238502	−	0.607153i
$296$	305.119	−	221.682i	0.0599145	−	0.0435304i
$297$	109.560	−	79.6001i	0.0214051	−	0.0155517i
$298$	52.0147	+	160.085i	0.0101112	+	0.0311190i
$299$	3665.18			0.708905
$300$	31.3937	−	67.6575i	0.00604173	−	0.0130207i
$301$	−2410.55			−0.461601
$302$	−280.187	−	862.327i	−0.0533873	−	0.164309i
$303$	10.8009	−	7.84730i	0.00204784	−	0.00148784i
$304$	4814.48	−	3497.92i	0.908320	−	0.659933i
$305$	1399.53	+	5390.57i	0.262744	+	1.01201i
$306$	−665.591	−	483.580i	−0.124344	−	0.0903412i
$307$	3322.26			0.617628			0.308814	−	0.951123i	$-0.400068\pi$
$307$	3322.26			0.617628			0.308814	+	0.951123i	$0.400068\pi$
$308$	3356.52	+	2438.65i	0.620959	+	0.451153i
$309$	−21.7688	+	66.9975i	−0.00400772	+	0.0123345i
$310$	−262.588	+	668.469i	−0.0481096	+	0.122472i
$311$	−1541.54	−	4744.38i	−0.281070	−	0.865046i	−0.987549	−	0.157311i	$-0.949717\pi$
$311$	−1541.54	−	4744.38i	−0.281070	−	0.865046i	0.706479	−	0.707734i	$-0.250283\pi$
$312$	12.4875	−	38.4326i	0.00226592	−	0.00697378i
$313$	−600.953	+	1849.54i	−0.108523	+	0.334001i	−0.990541	−	0.137215i	$-0.956185\pi$
$313$	−600.953	+	1849.54i	−0.108523	+	0.334001i	0.882018	+	0.471216i	$0.156185\pi$
$314$	−290.290	−	893.419i	−0.0521719	−	0.160569i
$315$	1783.16	−	4539.38i	0.318951	−	0.811953i
$316$	−1021.36	+	3143.41i	−0.181822	+	0.559590i
$317$	5447.24	+	3957.65i	0.965134	+	0.701211i	0.954337	−	0.298731i	$-0.0965632\pi$
$317$	5447.24	+	3957.65i	0.965134	+	0.701211i	0.0107969	+	0.999942i	$0.496563\pi$
$318$	−15.9047			−0.00280468
$319$	−555.737	−	403.767i	−0.0975402	−	0.0708671i
$320$	−1243.12	−	4788.12i	−0.217164	−	0.836450i
$321$	−120.926	+	87.8581i	−0.0210263	+	0.0152765i
$322$	264.339	−	192.054i	0.0457486	−	0.0332383i
$323$	−2188.46	−	6735.38i	−0.376994	−	1.16027i
$324$	−5693.72			−0.976289
$325$	−4097.92	+	8831.54i	−0.699421	+	1.50734i
$326$	712.004			0.120964
$327$	12.3657	+	38.0578i	0.00209121	+	0.00643609i
$328$	−190.055	+	138.083i	−0.0319941	+	0.0232450i
$329$	−7812.39	+	5676.04i	−1.30915	+	0.951155i
$330$	−4.40536	+	11.2147i	−0.000734871	+	0.00187076i
$331$	779.872	+	566.610i	0.129503	+	0.0940898i	0.650651	−	0.759377i	$-0.274496\pi$
$331$	779.872	+	566.610i	0.129503	+	0.0940898i	−0.521148	+	0.853466i	$0.674496\pi$
$332$	3201.65			0.529256
$333$	−1212.03	−	880.592i	−0.199456	−	0.144913i
$334$	262.513	−	807.933i	0.0430062	−	0.132360i
$335$	−4472.15	−	3679.46i	−0.729371	−	0.600091i
$336$	22.7239	+	69.9369i	0.00368955	+	0.0113553i
$337$	1551.16	−	4773.97i	0.250733	−	0.771676i	−0.743908	−	0.668282i	$-0.767030\pi$
$337$	1551.16	−	4773.97i	0.250733	−	0.771676i	0.994640	−	0.103394i	$-0.0329702\pi$
$338$	−513.788	+	1581.28i	−0.0826816	+	0.254468i
$339$	16.2199	+	49.9196i	0.00259865	+	0.00799783i
$340$	−6186.60	−	372.523i	−0.986811	−	0.0594204i
$341$	−1517.65	+	4670.85i	−0.241013	+	0.741762i
$342$	936.907	+	680.703i	0.148135	+	0.107626i
$343$	6865.68			1.08079
$344$	−820.100	−	595.838i	−0.128537	−	0.0933879i
$345$	−31.0187	−	25.5207i	−0.00484055	−	0.00398257i
$346$	−814.505	+	591.772i	−0.126555	+	0.0919476i
$347$	−4929.09	+	3581.19i	−0.762557	+	0.554030i	−0.899693	−	0.436522i	$-0.856210\pi$
$347$	−4929.09	+	3581.19i	−0.762557	+	0.554030i	0.137137	+	0.990552i	$0.456210\pi$
$348$	−3.85561	−	11.8664i	−0.000593916	−	0.00182788i
$349$	−2624.86			−0.402594			−0.201297	−	0.979530i	$-0.564516\pi$
$349$	−2624.86			−0.402594			−0.201297	+	0.979530i	$0.564516\pi$
$350$	167.220	+	851.677i	0.0255379	+	0.130069i
$351$	−321.081			−0.0488263
$352$	811.867	+	2498.67i	0.122934	+	0.378351i
$353$	2357.93	−	1713.13i	0.355523	−	0.258303i	−0.395659	−	0.918397i	$-0.629484\pi$
$353$	2357.93	−	1713.13i	0.355523	−	0.258303i	0.751183	+	0.660095i	$0.229484\pi$
$354$	−7.84585	+	5.70034i	−0.00117797	+	0.000855846i
$355$	−8174.37	+	5218.51i	−1.22211	+	0.780197i
$356$	7236.14	+	5257.37i	1.07729	+	0.782696i
$357$	87.5114			0.0129737
$358$	−193.217	−	140.380i	−0.0285247	−	0.0207244i
$359$	2999.85	−	9232.60i	0.441020	−	1.35732i	−0.445770	−	0.895148i	$-0.647070\pi$
$359$	2999.85	−	9232.60i	0.441020	−	1.35732i	0.886790	−	0.462172i	$-0.152930\pi$
$360$	1728.69	−	1103.60i	0.253084	−	0.161569i
$361$	961.000	+	2957.65i	0.140108	+	0.431208i
$362$	416.744	−	1282.61i	0.0605072	−	0.186222i
$363$	5.94090	−	18.2842i	0.000858998	−	0.00264373i
$364$	−3039.72	−	9355.30i	−0.437705	−	1.34712i
$365$	458.136	+	1764.60i	0.0656985	+	0.253051i
$366$	5.04978	−	15.5416i	0.000721191	−	0.00221960i
$367$	1084.14	+	787.677i	0.154201	+	0.112034i	0.662211	−	0.749318i	$-0.269618\pi$
$367$	1084.14	+	787.677i	0.154201	+	0.112034i	−0.508009	+	0.861352i	$0.669618\pi$
$368$	−2804.75			−0.397304
$369$	754.961	+	548.511i	0.106509	+	0.0773831i
$370$	266.135	+	16.0252i	0.0373937	+	0.00225165i
$371$	−6338.25	+	4605.01i	−0.886969	+	0.644421i
$372$	−72.1684	+	52.4334i	−0.0100585	+	0.00730791i
$373$	−1836.73	−	5652.88i	−0.254966	−	0.784705i	−0.993836	−	0.110857i	$-0.964640\pi$
$373$	−1836.73	−	5652.88i	−0.254966	−	0.784705i	0.738870	−	0.673848i	$-0.235360\pi$
$374$	1001.22			0.138427
$375$	96.1752	−	46.2082i	0.0132439	−	0.00636315i
$376$	−4060.88			−0.556978
$377$	503.285	+	1548.95i	0.0687547	+	0.211605i
$378$	−23.1570	+	16.8245i	−0.00315097	+	0.00228931i
$379$	3296.44	−	2395.00i	0.446772	−	0.324599i	−0.341548	−	0.939864i	$-0.610951\pi$
$379$	3296.44	−	2395.00i	0.446772	−	0.324599i	0.788320	+	0.615265i	$0.210951\pi$
$380$	8708.47	+	524.376i	1.17562	+	0.0707893i
$381$	114.187	+	82.9618i	0.0153543	+	0.0111555i
$382$	1350.96			0.180945
$383$	2087.46	+	1516.63i	0.278497	+	0.202340i	0.718261	−	0.695773i	$-0.244938\pi$
$383$	2087.46	+	1516.63i	0.278497	+	0.202340i	−0.439765	+	0.898113i	$0.644938\pi$
$384$	−19.5801	+	60.2614i	−0.00260207	+	0.00800834i
$385$	1491.49	+	5744.76i	0.197437	+	0.760468i
$386$	413.738	+	1273.36i	0.0545563	+	0.167907i
$387$	−1244.33	+	3829.66i	−0.163444	+	0.503030i
$388$	3367.18	−	10363.1i	0.440574	−	1.35595i
$389$	388.355	+	1195.23i	0.0506180	+	0.155786i	0.973170	−	0.230086i	$-0.0739007\pi$
$389$	388.355	+	1195.23i	0.0506180	+	0.155786i	−0.922552	+	0.385872i	$0.873901\pi$
$390$	24.0789	−	15.3720i	0.00312637	−	0.00199587i
$391$	−1031.43	+	3174.43i	−0.133406	+	0.410582i
$392$	450.073	+	326.997i	0.0579901	+	0.0421322i
$393$	−101.963			−0.0130874
$394$	512.321	+	372.223i	0.0655086	+	0.0475948i
$395$	−3985.36	+	2544.25i	−0.507658	+	0.324089i
$396$	5606.95	−	4073.69i	0.711515	−	0.516946i
$397$	8359.25	−	6073.35i	1.05677	−	0.767791i	0.0832844	−	0.996526i	$-0.473459\pi$
$397$	8359.25	−	6073.35i	1.05677	−	0.767791i	0.973489	+	0.228735i	$0.0734590\pi$
$398$	−63.1673	−	194.409i	−0.00795551	−	0.0244845i
$399$	−123.184			−0.0154559
$400$	3135.91	−	6758.28i	0.391988	−	0.844785i
$401$	6749.76			0.840566			0.420283	−	0.907393i	$-0.361931\pi$
$401$	6749.76			0.840566			0.420283	+	0.907393i	$0.361931\pi$
$402$	5.25103	+	16.1610i	0.000651486	+	0.00200507i
$403$	9420.36	−	6844.29i	1.16442	−	0.846001i
$404$	1105.63	−	803.288i	0.136156	−	0.0989235i
$405$	−6289.92	−	5175.04i	−0.771725	−	0.634938i
$406$	117.462	+	85.3414i	0.0143585	+	0.0104321i
$407$	1823.20			0.222046
$408$	29.7725	+	21.6310i	0.00361264	+	0.00262474i
$409$	−2869.94	+	8832.78i	−0.346967	+	1.06786i	0.613555	+	0.789652i	$0.289739\pi$
$409$	−2869.94	+	8832.78i	−0.346967	+	1.06786i	−0.960522	+	0.278203i	$0.910261\pi$
$410$	−165.772	−	9.98191i	−0.0199681	−	0.00120237i
$411$	−29.7554	−	91.5776i	−0.00357110	−	0.0109907i
$412$	−2228.36	+	6858.19i	−0.266465	+	0.820094i
$413$	−1476.22	+	4543.35i	−0.175884	+	0.541316i
$414$	−168.665	−	519.097i	−0.0200228	−	0.0616237i
$415$	3536.90	+	2909.99i	0.418360	+	0.344206i
$416$	1924.89	−	5924.19i	0.226864	−	0.698215i
$417$	−90.9033	−	66.0451i	−0.0106752	−	0.00775598i
$418$	−1409.35			−0.164913
$419$	−6524.78	−	4740.53i	−0.760755	−	0.552721i	0.138387	−	0.990378i	$-0.455808\pi$
$419$	−6524.78	−	4740.53i	−0.760755	−	0.552721i	−0.899142	+	0.437657i	$0.855808\pi$
$420$	−39.4156	+	100.340i	−0.00457925	+	0.0116574i
$421$	−1254.19	+	911.219i	−0.145191	+	0.105487i	−0.658009	−	0.753010i	$-0.728601\pi$
$421$	−1254.19	+	911.219i	−0.145191	+	0.105487i	0.512819	+	0.858497i	$0.328601\pi$
$422$	−648.250	+	470.981i	−0.0747780	+	0.0543294i
$423$	4984.79	+	15341.6i	0.572975	+	1.76344i
$424$	−3294.62			−0.377360
$425$	−6495.83	−	6034.55i	−0.741397	−	0.688750i
$426$	28.4562			0.00323640
$427$	−2487.48	−	7655.67i	−0.281915	−	0.867644i
$428$	−12378.6	+	8993.58i	−1.39800	+	1.01570i
$429$	158.043	−	114.825i	0.0177864	−	0.0129226i
$430$	−180.081	−	693.618i	−0.0201960	−	0.0777889i
$431$	−13247.9	−	9625.18i	−1.48058	−	1.07570i	−0.977369	−	0.211541i	$-0.932152\pi$
$431$	−13247.9	−	9625.18i	−1.48058	−	1.07570i	−0.503211	−	0.864164i	$-0.667848\pi$
$432$	245.705			0.0273646
$433$	−7532.91	−	5472.98i	−0.836047	−	0.607424i	0.0852163	−	0.996362i	$-0.472842\pi$
$433$	−7532.91	−	5472.98i	−0.836047	−	0.607424i	−0.921264	+	0.388938i	$0.872842\pi$
$434$	320.776	−	987.246i	0.0354786	−	0.109192i
$435$	6.52603	−	16.6133i	0.000719308	−	0.00183114i
$436$	1265.82	+	3895.78i	0.139040	+	0.427922i
$437$	1451.88	−	4468.43i	0.158931	−	0.489139i
$438$	1.65304	−	5.08754i	0.000180332	−	0.000555005i
$439$	4823.55	+	14845.4i	0.524409	+	1.61397i	0.765481	+	0.643459i	$0.222501\pi$
$439$	4823.55	+	14845.4i	0.524409	+	1.61397i	−0.241071	+	0.970507i	$0.577499\pi$
$440$	−912.562	+	2323.11i	−0.0988743	+	0.251704i
$441$	682.892	−	2101.72i	0.0737384	−	0.226944i
$442$	−1920.46	−	1395.30i	−0.206668	−	0.150153i
$443$	4452.27			0.477503			0.238751	−	0.971081i	$-0.423262\pi$
$443$	4452.27			0.477503			0.238751	+	0.971081i	$0.423262\pi$
$444$	26.7912	+	19.4650i	0.00286364	+	0.00208055i
$445$	3215.42	+	12384.8i	0.342529	+	1.31932i
$446$	1410.94	−	1025.10i	0.149798	−	0.108834i
$447$	−24.1966	+	17.5798i	−0.00256031	+	0.00186017i
$448$	2209.48	+	6800.07i	0.233009	+	0.717128i
$449$	9647.98			1.01407			0.507034	−	0.861926i	$-0.330742\pi$
$449$	9647.98			1.01407			0.507034	+	0.861926i	$0.330742\pi$
$450$	1439.38	+	173.975i	0.150785	+	0.0182250i
$451$	−1135.65			−0.118572
$452$	1660.35	+	5110.02i	0.172779	+	0.531759i
$453$	130.339	−	94.6971i	0.0135185	−	0.00982177i
$454$	−760.566	+	552.583i	−0.0786236	+	0.0571234i
$455$	5145.04	−	13097.7i	0.530117	−	1.34952i
$456$	−41.9088	−	30.4485i	−0.00430386	−	0.00312693i
$457$	−15792.6			−1.61652			−0.808258	−	0.588829i	$-0.799589\pi$
$457$	−15792.6			−1.61652			−0.808258	+	0.588829i	$0.799589\pi$
$458$	1587.91	+	1153.69i	0.162005	+	0.117704i
$459$	90.3569	−	278.090i	0.00918845	−	0.0282791i
$460$	−3175.22	−	2612.42i	−0.321838	−	0.264793i
$461$	−894.642	−	2753.42i	−0.0903853	−	0.278177i	0.895638	−	0.444783i	$-0.146719\pi$
$461$	−894.642	−	2753.42i	−0.0903853	−	0.278177i	−0.986024	+	0.166606i	$0.946719\pi$
$462$	5.38157	−	16.5628i	0.000541933	−	0.00166790i
$463$	95.6053	−	294.243i	0.00959644	−	0.0295348i	−0.946144	−	0.323747i	$-0.895057\pi$
$463$	95.6053	−	294.243i	0.00959644	−	0.0295348i	0.955740	+	0.294212i	$0.0950573\pi$
$464$	−385.136	−	1185.33i	−0.0385333	−	0.118593i
$465$	−127.382	−	7.67026i	−0.0127037	−	0.000764946i
$466$	−466.426	+	1435.51i	−0.0463664	+	0.142701i
$467$	−12422.9	−	9025.80i	−1.23098	−	0.894356i	−0.234012	−	0.972234i	$-0.575186\pi$
$467$	−12422.9	−	9025.80i	−1.23098	−	0.894356i	−0.996963	+	0.0778780i	$0.975186\pi$
$468$	−16431.9			−1.62301
$469$	6771.85	+	4920.03i	0.666727	+	0.484405i
$470$	−2216.87	−	1823.93i	−0.217567	−	0.179003i
$471$	135.039	−	98.1116i	0.0132108	−	0.00959818i
$472$	−1625.25	+	1180.81i	−0.158492	+	0.115151i
$473$	−1514.31	−	4660.57i	−0.147205	−	0.453051i
$474$	13.8736			0.00134438
$475$	9143.74	+	8494.44i	0.883250	+	0.820529i
$476$	8958.09			0.862591
$477$	4044.19	+	12446.7i	0.388199	+	1.19475i
$478$	787.237	−	571.961i	0.0753293	−	0.0547299i
$479$	−7809.42	+	5673.88i	−0.744930	+	0.541224i	−0.894251	−	0.447565i	$-0.852291\pi$
$479$	−7809.42	+	5673.88i	−0.744930	+	0.541224i	0.149321	+	0.988789i	$0.452291\pi$
$480$	−57.5407	+	36.7339i	−0.00547158	+	0.00349305i
$481$	−3497.14	−	2540.82i	−0.331509	−	0.240855i
$482$	−510.573			−0.0482489
$483$	46.9694	+	34.1252i	0.00442480	+	0.00321481i
$484$	608.140	−	1871.66i	0.0571130	−	0.175776i
$485$	13138.8	−	8387.82i	1.23011	−	0.785302i
$486$	22.1642	+	68.2142i	0.00206870	+	0.00636679i
$487$	1972.58	−	6070.98i	0.183545	−	0.564892i	−0.816376	−	0.577521i	$-0.804020\pi$
$487$	1972.58	−	6070.98i	0.183545	−	0.564892i	0.999920	+	0.0126290i	$0.00402005\pi$
$488$	1046.05	−	3219.41i	0.0970338	−	0.298639i
$489$	39.0946	+	120.321i	0.00361538	+	0.0111270i
$490$	98.8288	+	380.659i	0.00911149	+	0.0350947i
$491$	5289.48	−	16279.4i	0.486173	−	1.49629i	−0.344101	−	0.938932i	$-0.611816\pi$
$491$	5289.48	−	16279.4i	0.486173	−	1.49629i	0.830275	−	0.557355i	$-0.188184\pi$
$492$	−16.6879	−	12.1245i	−0.00152917	−	0.00111101i
$493$	−1483.19			−0.135496
$494$	2703.31	+	1964.07i	0.246210	+	0.178882i
$495$	9896.65	+	595.922i	0.898629	+	0.0541105i
$496$	−7208.86	+	5237.55i	−0.652596	+	0.474139i
$497$	11340.2	−	8239.16i	1.02350	−	0.743615i
$498$	−4.15289	−	12.7813i	−0.000373686	−	0.00115009i
$499$	17105.0			1.53452			0.767259	−	0.641337i	$-0.221620\pi$
$499$	17105.0			1.53452			0.767259	+	0.641337i	$0.221620\pi$
$500$	9844.96	−	4730.10i	0.880560	−	0.423073i
$501$	150.946			0.0134606
$502$	715.937	+	2203.43i	0.0636530	+	0.195904i
$503$	−7434.74	+	5401.65i	−0.659043	+	0.478823i	−0.866340	−	0.499455i	$-0.833533\pi$
$503$	−7434.74	+	5401.65i	−0.659043	+	0.478823i	0.207297	+	0.978278i	$0.433533\pi$
$504$	−2398.20	+	1742.40i	−0.211953	+	0.153993i
$505$	1951.52	+	117.510i	0.171963	+	0.0103547i
$506$	537.377	+	390.427i	0.0472121	+	0.0343016i
$507$	−295.430			−0.0258787
$508$	11688.8	+	8492.38i	1.02088	+	0.741709i
$509$	1728.25	−	5319.02i	0.150498	−	0.463185i	−0.847179	−	0.531308i	$-0.821701\pi$
$509$	1728.25	−	5319.02i	0.150498	−	0.463185i	0.997677	+	0.0681224i	$0.0217008\pi$
$510$	6.53757	+	25.1807i	0.000567624	+	0.00218632i
$511$	−814.276	−	2506.08i	−0.0704920	−	0.216952i
$512$	−2474.31	+	7615.15i	−0.213574	+	0.657315i
$513$	−127.189	+	391.449i	−0.0109465	+	0.0336898i
$514$	46.8110	+	144.069i	0.00401701	+	0.0123631i
$515$	−8695.13	+	5550.96i	−0.743987	+	0.474961i
$516$	27.5052	−	84.6523i	0.00234661	−	0.00722211i
$517$	−15881.8	−	11538.8i	−1.35103	−	0.981581i
$518$	−385.358			−0.0326866
$519$	−144.726	−	105.149i	−0.0122404	−	0.00889316i
$520$	4987.90	−	3184.27i	0.420642	−	0.268537i
$521$	−1556.71	+	1131.02i	−0.130904	+	0.0951071i	−0.651310	−	0.758812i	$-0.725780\pi$
$521$	−1556.71	+	1131.02i	−0.130904	+	0.0951071i	0.520407	+	0.853919i	$0.325780\pi$
$522$	196.217	−	142.560i	0.0164525	−	0.0119534i
$523$	64.5232	+	198.582i	0.00539465	+	0.0166030i	0.953718	−	0.300704i	$-0.0972215\pi$
$523$	64.5232	+	198.582i	0.00539465	+	0.0166030i	−0.948323	+	0.317307i	$0.897222\pi$
$524$	−10437.4			−0.870155
$525$	−134.743	+	75.0221i	−0.0112012	+	0.00623664i
$526$	2535.88			0.210209
$527$	3276.85	+	10085.1i	0.270857	+	0.833613i
$528$	−120.941	+	87.8689i	−0.00996835	+	0.00724243i
$529$	8051.84	−	5850.01i	0.661777	−	0.480809i
$530$	−1798.56	−	1479.77i	−0.147404	−	0.121277i
$531$	6456.02	+	4690.57i	0.527622	+	0.383340i
$532$	−12609.7			−1.02763
$533$	2178.33	+	1582.65i	0.177024	+	0.128616i
$534$	11.6018	−	35.7068i	0.000940189	−	0.00289360i
$535$	−21849.1	−	1315.63i	−1.76564	−	0.106317i
$536$	1087.74	+	3347.72i	0.0876552	+	0.269775i
$537$	13.1136	−	40.3596i	0.00105381	−	0.00324329i
$538$	−33.7496	+	103.870i	−0.00270455	+	0.00832374i
$539$	831.057	+	2557.73i	0.0664122	+	0.204396i
$540$	278.160	+	228.856i	0.0221668	+	0.0182378i
$541$	814.582	−	2507.03i	0.0647350	−	0.199234i	−0.913458	−	0.406934i	$-0.866598\pi$
$541$	814.582	−	2507.03i	0.0647350	−	0.199234i	0.978193	+	0.207700i	$0.0665979\pi$
$542$	−1925.42	−	1398.90i	−0.152590	−	0.110863i
$543$	239.629			0.0189383
$544$	4589.28	+	3334.31i	0.361698	+	0.262789i
$545$	−2142.52	+	5454.22i	−0.168396	+	0.428685i
$546$	−33.4044	+	24.2697i	−0.00261827	+	0.00190229i
$547$	8650.84	−	6285.21i	0.676204	−	0.491291i	−0.195892	−	0.980625i	$-0.562760\pi$
$547$	8650.84	−	6285.21i	0.676204	−	0.491291i	0.872096	+	0.489335i	$0.162760\pi$
$548$	−3045.90	−	9374.33i	−0.237435	−	0.730751i
$549$	−13446.7			−1.04534
$550$	−1541.59	+	858.328i	−0.119516	+	0.0665441i
$551$	2087.78			0.161420
$552$	7.54454	+	23.2197i	0.000581733	+	0.00179039i
$553$	5528.85	−	4016.94i	0.425155	−	0.308893i
$554$	−2418.89	+	1757.42i	−0.185503	+	0.134776i
$555$	11.9048	+	45.8538i	0.000910507	+	0.00350700i
$556$	−9305.30	−	6760.70i	−0.709771	−	0.515679i
$557$	6016.30			0.457664			0.228832	−	0.973466i	$-0.426509\pi$
$557$	6016.30			0.457664			0.228832	+	0.973466i	$0.426509\pi$
$558$	−1402.86	−	1019.24i	−0.106430	−	0.0773258i
$559$	−3590.34	+	11049.9i	−0.271655	+	0.836068i
$560$	−3937.21	+	10022.9i	−0.297103	+	0.756333i
$561$	54.9748	+	169.195i	0.00413732	+	0.0127334i
$562$	736.446	−	2266.55i	0.0552760	−	0.170122i
$563$	−4531.47	+	13946.4i	−0.339216	+	1.04400i	0.625391	+	0.780311i	$0.284939\pi$
$563$	−4531.47	+	13946.4i	−0.339216	+	1.04400i	−0.964608	+	0.263689i	$0.915061\pi$
$564$	−110.186	−	339.117i	−0.00822634	−	0.0253181i
$565$	−2810.31	+	7154.19i	−0.209258	+	0.532706i
$566$	−376.213	+	1157.86i	−0.0279389	+	0.0859870i
$567$	9524.37	+	6919.86i	0.705442	+	0.512534i
$568$	5894.64			0.435447
$569$	−16744.7	−	12165.7i	−1.23370	−	0.896335i	−0.236537	−	0.971622i	$-0.576012\pi$
$569$	−16744.7	−	12165.7i	−1.23370	−	0.896335i	−0.997162	+	0.0752877i	$0.976012\pi$
$570$	−9.20250	−	35.4453i	−0.000676228	−	0.00260463i
$571$	−14156.6	+	10285.4i	−1.03754	+	0.753818i	−0.969804	−	0.243885i	$-0.921578\pi$
$571$	−14156.6	+	10285.4i	−1.03754	+	0.753818i	−0.0677372	+	0.997703i	$0.521578\pi$
$572$	16178.0	−	11754.0i	1.18258	−	0.859197i
$573$	74.1784	+	228.298i	0.00540811	+	0.0166445i
$574$	240.035			0.0174545
$575$	−1133.27	−	5771.94i	−0.0821926	−	0.418620i
$576$	11943.9			0.863995
$577$	2430.61	+	7480.65i	0.175369	+	0.539729i	0.999650	−	0.0264512i	$-0.00842066\pi$
$577$	2430.61	+	7480.65i	0.175369	+	0.539729i	−0.824282	+	0.566180i	$0.808421\pi$
$578$	41.0687	−	29.8382i	0.00295542	−	0.00214724i
$579$	−192.466	+	139.835i	−0.0138145	+	0.0100368i
$580$	668.036	−	1700.62i	0.0478253	−	0.121749i
$581$	−5355.67	−	3891.12i	−0.382428	−	0.277850i
$582$	−45.7383			−0.00325758
$583$	−12885.0	−	9361.53i	−0.915342	−	0.665035i
$584$	342.424	−	1053.87i	0.0242631	−	0.0746740i
$585$	−18152.6	−	14935.0i	−1.28293	−	1.05554i
$586$	−609.941	−	1877.21i	−0.0429973	−	0.132332i
$587$	−7730.07	+	23790.7i	−0.543533	+	1.67282i	0.180919	+	0.983498i	$0.442093\pi$
$587$	−7730.07	+	23790.7i	−0.543533	+	1.67282i	−0.724452	+	0.689325i	$0.757907\pi$
$588$	−15.0949	+	46.4573i	−0.00105868	+	0.00325828i
$589$	−4612.60	−	14196.1i	−0.322681	−	0.993109i
$590$	−1417.60	−	85.3599i	−0.0989178	−	0.00595629i
$591$	−34.7712	+	107.015i	−0.00242013	+	0.00744839i
$592$	2676.16	+	1944.35i	0.185793	+	0.134987i
$593$	28163.6			1.95032			0.975160	−	0.221501i	$-0.0710954\pi$
$593$	28163.6			1.95032			0.975160	+	0.221501i	$0.0710954\pi$
$594$	−47.0759	−	34.2026i	−0.00325176	−	0.00236254i
$595$	9896.11	+	8142.04i	0.681850	+	0.560993i
$596$	−2476.88	+	1799.56i	−0.170230	+	0.123679i
$597$	29.3846	−	21.3492i	0.00201446	−	0.00146359i
$598$	−486.658	−	1497.78i	−0.0332791	−	0.102423i
$599$	−3672.21			−0.250488			−0.125244	−	0.992126i	$-0.539971\pi$
$599$	−3672.21			−0.250488			−0.125244	+	0.992126i	$0.539971\pi$
$600$	−64.3851	−	7.78205i	−0.00438085	−	0.000529502i
$601$	2325.56			0.157840			0.0789199	−	0.996881i	$-0.474853\pi$
$601$	2325.56			0.157840			0.0789199	+	0.996881i	$0.474853\pi$
$602$	320.070	+	985.074i	0.0216696	+	0.0666920i
$603$	11312.1	−	8218.75i	0.763957	−	0.555047i
$604$	13342.2	−	9693.66i	0.898817	−	0.653029i
$605$	2372.98	−	1514.91i	0.159463	−	0.101801i
$606$	−4.64094	−	3.37184i	−0.000311098	−	0.000226026i
$607$	6230.66			0.416630			0.208315	−	0.978062i	$-0.433202\pi$
$607$	6230.66			0.416630			0.208315	+	0.978062i	$0.433202\pi$
$608$	−6460.02	−	4693.48i	−0.430902	−	0.313069i
$609$	−7.97216	+	24.5358i	−0.000530457	+	0.00163258i
$610$	2017.04	−	1287.67i	0.133881	−	0.0854695i
$611$	14382.9	+	44265.9i	0.952322	+	2.93095i
$612$	4624.19	−	14231.8i	0.305428	−	0.940010i
$613$	2221.17	−	6836.04i	0.146349	−	0.450416i	−0.850833	−	0.525436i	$-0.823902\pi$
$613$	2221.17	−	6836.04i	0.146349	−	0.450416i	0.997182	+	0.0750200i	$0.0239021\pi$
$614$	−441.126	−	1357.65i	−0.0289941	−	0.0892348i
$615$	−7.41538	−	28.5618i	−0.000486206	−	0.00187272i
$616$	1114.78	−	3430.94i	0.0729153	−	0.224410i
$617$	−2371.57	−	1723.05i	−0.154742	−	0.112427i	0.507720	−	0.861522i	$-0.330488\pi$
$617$	−2371.57	−	1723.05i	−0.154742	−	0.112427i	−0.662462	+	0.749095i	$0.730488\pi$
$618$	30.2690			0.00197023
$619$	8542.35	+	6206.38i	0.554678	+	0.402997i	0.829507	−	0.558496i	$-0.188621\pi$
$619$	8542.35	+	6206.38i	0.554678	+	0.402997i	−0.274829	+	0.961493i	$0.588621\pi$
$620$	−13039.5	−	785.165i	−0.844641	−	0.0508597i
$621$	156.938	−	114.022i	0.0101413	−	0.00736805i
$622$	−1734.11	+	1259.91i	−0.111787	+	0.0812181i
$623$	−5714.98	−	17588.9i	−0.367521	−	1.13111i
$624$	354.435			0.0227384
$625$	15175.0	+	3722.72i	0.971203	+	0.238254i
$626$	835.611			0.0533510
$627$	−77.3843	−	238.165i	−0.00492892	−	0.0151697i
$628$	13823.3	−	10043.2i	0.878356	−	0.638163i
$629$	3184.76	−	2313.87i	0.201884	−	0.146677i
$630$	−2091.79	−	125.956i	−0.132284	−	0.00796541i
$631$	3784.21	+	2749.39i	0.238743	+	0.173457i	0.700723	−	0.713433i	$-0.252861\pi$
$631$	3784.21	+	2749.39i	0.238743	+	0.173457i	−0.461980	+	0.886890i	$0.652861\pi$
$632$	2873.89			0.180882
$633$	−115.185	−	83.6867i	−0.00723252	−	0.00525473i
$634$	894.021	−	2751.51i	0.0560033	−	0.172360i
$635$	5193.96	+	20005.6i	0.324592	+	1.25023i
$636$	−89.3944	−	275.128i	−0.00557345	−	0.0171533i
$637$	1970.38	−	6064.22i	0.122558	−	0.377195i
$638$	−91.2096	+	280.714i	−0.00565991	+	0.0174194i
$639$	−7235.76	−	22269.4i	−0.447953	−	1.37866i
$640$	−7820.90	+	4992.85i	−0.483044	+	0.308375i
$641$	−2830.10	+	8710.16i	−0.174387	+	0.536709i	−0.999605	−	0.0281058i	$-0.991052\pi$
$641$	−2830.10	+	8710.16i	−0.174387	+	0.536709i	0.825218	+	0.564815i	$0.191052\pi$
$642$	51.9597	+	37.7509i	0.00319422	+	0.00232073i
$643$	−16426.8			−1.00748			−0.503740	−	0.863855i	$-0.668043\pi$
$643$	−16426.8			−1.00748			−0.503740	+	0.863855i	$0.668043\pi$
$644$	4808.01	+	3493.23i	0.294196	+	0.213746i
$645$	107.326	−	68.5168i	0.00655187	−	0.00418271i
$646$	−2461.84	+	1788.63i	−0.149938	+	0.108936i
$647$	5909.82	−	4293.74i	0.359102	−	0.260903i	−0.393575	−	0.919292i	$-0.628762\pi$
$647$	5909.82	−	4293.74i	0.359102	−	0.260903i	0.752677	+	0.658389i	$0.228762\pi$
$648$	1529.87	+	4708.45i	0.0927453	+	0.285441i
$649$	−9711.50			−0.587380
$650$	4153.14	+	501.978i	0.250614	+	0.0302911i
$651$	184.447			0.0111045
$652$	4001.92	+	12316.6i	0.240379	+	0.739811i
$653$	−19234.0	+	13974.3i	−1.15266	+	0.837455i	−0.988832	−	0.149034i	$-0.952383\pi$
$653$	−19234.0	+	13974.3i	−1.15266	+	0.837455i	−0.163826	+	0.986489i	$0.552383\pi$
$654$	13.9104	−	10.1065i	0.000831715	−	0.000604276i
$655$	−11530.4	−	9486.61i	−0.687829	−	0.565912i
$656$	−1666.95	−	1211.11i	−0.0992127	−	0.0720822i
$657$	−4401.76			−0.261384
$658$	3356.84	+	2438.89i	0.198880	+	0.144495i
$659$	4385.31	−	13496.6i	0.259222	−	0.797804i	−0.733746	−	0.679424i	$-0.762230\pi$
$659$	4385.31	−	13496.6i	0.259222	−	0.797804i	0.992968	−	0.118380i	$-0.0377702\pi$
$660$	−218.759	−	13.1725i	−0.0129018	−	0.000776877i
$661$	−2911.31	−	8960.08i	−0.171311	−	0.527242i	0.828135	−	0.560529i	$-0.189402\pi$
$661$	−2911.31	−	8960.08i	−0.171311	−	0.527242i	−0.999446	+	0.0332876i	$0.989402\pi$
$662$	127.995	−	393.929i	0.00751462	−	0.0231276i
$663$	130.342	−	401.151i	0.00763508	−	0.0234983i
$664$	−860.264	−	2647.62i	−0.0502782	−	0.154740i
$665$	−13930.1	−	11461.0i	−0.812310	−	0.668329i
$666$	−198.923	+	612.222i	−0.0115737	+	0.0356203i
$667$	−796.061	−	578.372i	−0.0462123	−	0.0335752i
$668$	15451.6			0.894968
$669$	250.703	+	182.146i	0.0144884	+	0.0105264i
$670$	−909.810	+	2316.10i	−0.0524612	+	0.133550i
$671$	13238.9	−	9618.62i	0.761672	−	0.553387i
$672$	79.8256	−	57.9967i	0.00458235	−	0.00332927i
$673$	3177.00	+	9777.79i	0.181968	+	0.560039i	0.999883	−	0.0152997i	$-0.00487024\pi$
$673$	3177.00	+	9777.79i	0.181968	+	0.560039i	−0.817915	+	0.575339i	$0.804870\pi$
$674$	−2156.85			−0.123262
$675$	99.2783	+	505.641i	0.00566107	+	0.0288328i
$676$	−30241.6			−1.72062
$677$	5470.01	+	16835.0i	0.310531	+	0.955716i	0.977555	+	0.210680i	$0.0675678\pi$
$677$	5470.01	+	16835.0i	0.310531	+	0.955716i	−0.667024	+	0.745036i	$0.732432\pi$
$678$	18.2461	−	13.2565i	0.00103353	−	0.000750906i
$679$	−18227.4	+	13243.0i	−1.03020	+	0.748481i
$680$	1354.24	+	5216.14i	0.0763719	+	0.294162i
$681$	−135.142	−	98.1862i	−0.00760446	−	0.00552497i
$682$	2110.26			0.118484
$683$	6739.31	+	4896.39i	0.377558	+	0.274312i	0.760338	−	0.649527i	$-0.225033\pi$
$683$	6739.31	+	4896.39i	0.377558	+	0.274312i	−0.382780	+	0.923840i	$0.625033\pi$
$684$	−6509.16	+	20033.1i	−0.363865	+	1.11986i
$685$	5155.51	−	13124.4i	0.287565	−	0.732053i
$686$	−911.616	−	2805.67i	−0.0507371	−	0.156153i
$687$	−107.772	+	331.687i	−0.00598507	+	0.0184202i
$688$	2747.48	−	8455.88i	0.152248	−	0.468572i
$689$	11668.9	+	35913.2i	0.645211	+	1.98576i
$690$	−6.31042	+	16.0644i	−0.000348165	+	0.000886322i
$691$	1522.86	−	4686.87i	0.0838382	−	0.258028i	−0.900346	−	0.435174i	$-0.856687\pi$
$691$	1522.86	−	4686.87i	0.0838382	−	0.258028i	0.984184	+	0.177147i	$0.0566867\pi$
$692$	−14814.8	−	10763.6i	−0.813838	−	0.591288i
$693$	−14330.2			−0.785510
$694$	2117.93	+	1538.77i	0.115844	+	0.0841656i
$695$	−4134.86	−	15926.2i	−0.225675	−	0.869233i
$696$	−8.77697	+	6.37685i	−0.000478003	+	0.000347290i
$697$	−1983.75	+	1441.28i	−0.107805	+	0.0783249i
$698$	348.525	+	1072.65i	0.0188995	+	0.0581668i
$699$	−268.196			−0.0145123
$700$	−13792.9	+	7679.63i	−0.744747	+	0.414661i
$701$	6865.41			0.369904			0.184952	−	0.982748i	$-0.440787\pi$
$701$	6865.41			0.369904			0.184952	+	0.982748i	$0.440787\pi$
$702$	42.6328	+	131.210i	0.00229212	+	0.00705443i
$703$	−4482.98	+	3257.07i	−0.240510	+	0.174741i
$704$	−11759.3	+	8543.64i	−0.629539	+	0.457387i
$705$	186.501	−	474.774i	0.00996315	−	0.0253632i
$706$	−1013.16	−	736.101i	−0.0540094	−	0.0392401i
$707$	−2825.76			−0.150316
$708$	−142.706	−	103.682i	−0.00757519	−	0.00550370i
$709$	3115.25	−	9587.75i	0.165015	−	0.507864i	−0.834022	−	0.551730i	$-0.813968\pi$
$709$	3115.25	−	9587.75i	0.165015	−	0.507864i	0.999037	+	0.0438668i	$0.0139677\pi$
$710$	3217.93	+	2647.56i	0.170094	+	0.139945i
$711$	−3527.74	−	10857.3i	−0.186077	−	0.572686i
$712$	2403.30	−	7396.59i	0.126499	−	0.389324i
$713$	−2173.95	+	6690.72i	−0.114186	+	0.351430i
$714$	−11.6197	−	35.7616i	−0.000609040	−	0.00187443i
$715$	28555.3	+	1719.45i	1.49358	+	0.0899352i
$716$	1342.37	−	4131.40i	0.0700655	−	0.215639i
$717$	139.881	+	101.629i	0.00728584	+	0.00529347i
$718$	−4171.23			−0.216809
$719$	−16549.1	−	12023.6i	−0.858382	−	0.623651i	0.0690621	−	0.997612i	$-0.477999\pi$
$719$	−16549.1	−	12023.6i	−0.858382	−	0.623651i	−0.927444	+	0.373961i	$0.877999\pi$
$720$	13891.1	+	11428.9i	0.719016	+	0.591572i
$721$	12062.7	−	8764.05i	0.623075	−	0.452691i
$722$	1081.05	−	785.427i	0.0557236	−	0.0404855i
$723$	−28.0345	−	86.2813i	−0.00144207	−	0.00443822i
$724$	24529.6			1.25917
$725$	2283.68	−	1271.51i	0.116985	−	0.0651349i
$726$	−8.26069			−0.000422290
$727$	−7618.12	−	23446.2i	−0.388639	−	1.19611i	−0.933806	−	0.357780i	$-0.883534\pi$
$727$	−7618.12	−	23446.2i	−0.388639	−	1.19611i	0.545167	−	0.838328i	$-0.316466\pi$
$728$	−6919.66	+	5027.43i	−0.352280	+	0.255946i
$729$	15903.3	−	11554.4i	0.807969	−	0.587024i
$730$	660.276	−	421.520i	0.0334766	−	0.0213714i
$731$	−8560.02	−	6219.22i	−0.433110	−	0.314673i
$732$	297.230			0.0150081
$733$	11690.2	+	8493.46i	0.589071	+	0.427985i	0.841983	−	0.539504i	$-0.181388\pi$
$733$	11690.2	+	8493.46i	0.589071	+	0.427985i	−0.252912	+	0.967489i	$0.581388\pi$
$734$	177.934	−	547.624i	0.00894776	−	0.0275384i
$735$	−58.9007	+	37.6022i	−0.00295590	+	0.00188704i
$736$	1162.95	+	3579.20i	0.0582431	+	0.179254i
$737$	−5258.34	+	16183.5i	−0.262813	+	0.808856i
$738$	123.907	−	381.346i	0.00618032	−	0.0190211i
$739$	−314.004	−	966.405i	−0.0156303	−	0.0481052i	0.942937	−	0.332971i	$-0.108051\pi$
$739$	−314.004	−	966.405i	−0.0156303	−	0.0481052i	−0.958567	+	0.284866i	$0.908051\pi$
$740$	1218.64	+	4693.82i	0.0605377	+	0.233173i
$741$	−183.473	+	564.673i	−0.00909590	+	0.0279943i
$742$	2723.42	+	1978.68i	0.134744	+	0.0978973i
$743$	−10739.7			−0.530286			−0.265143	−	0.964209i	$-0.585419\pi$
$743$	−10739.7			−0.530286			−0.265143	+	0.964209i	$0.585419\pi$
$744$	62.7513	+	45.5915i	0.00309217	+	0.00224659i
$745$	−4371.86	−	263.250i	−0.214997	−	0.0129459i
$746$	−2066.18	+	1501.16i	−0.101405	+	0.0736750i
$747$	−8946.46	+	6499.98i	−0.438198	+	0.318369i
$748$	5627.49	+	17319.6i	0.275082	+	0.846615i
$749$	31637.1			1.54338
$750$	−31.6530	−	33.1666i	−0.00154107	−	0.00161476i
$751$	29772.1			1.44661			0.723303	−	0.690531i	$-0.242623\pi$
$751$	29772.1			1.44661			0.723303	+	0.690531i	$0.242623\pi$
$752$	−11006.4	−	33874.2i	−0.533726	−	1.64264i
$753$	−333.045	+	241.971i	−0.0161180	+	0.0117104i
$754$	566.156	−	411.336i	0.0273450	−	0.0198673i
$755$	23549.9	+	1418.04i	1.13519	+	0.0683549i
$756$	−421.197	−	306.018i	−0.0202630	−	0.0147219i
$757$	−20090.9			−0.964619			−0.482309	−	0.876001i	$-0.660202\pi$
$757$	−20090.9			−0.964619			−0.482309	+	0.876001i	$0.660202\pi$
$758$	−1416.42	−	1029.09i	−0.0678715	−	0.0493115i
$759$	−36.4717	+	112.248i	−0.00174419	+	0.00536806i
$760$	−1906.28	−	7342.41i	−0.0909842	−	0.350444i
$761$	−10116.4	−	31135.1i	−0.481892	−	1.48311i	−0.836432	−	0.548070i	$-0.815363\pi$
$761$	−10116.4	−	31135.1i	−0.481892	−	1.48311i	0.354541	−	0.935041i	$-0.384637\pi$
$762$	18.7408	−	57.6783i	0.000890955	−	0.00274208i
$763$	2617.30	−	8055.21i	0.124184	−	0.382200i
$764$	7593.27	+	23369.7i	0.359574	+	1.10666i
$765$	18043.7	−	11519.1i	0.852774	−	0.544410i
$766$	342.601	−	1054.42i	0.0161602	−	0.0497359i
$767$	18627.9	+	13534.0i	0.876942	+	0.637136i
$768$	−243.023			−0.0114184
$769$	3248.44	+	2360.13i	0.152330	+	0.110674i	0.661340	−	0.750087i	$-0.269988\pi$
$769$	3248.44	+	2360.13i	0.152330	+	0.110674i	−0.509010	+	0.860761i	$0.669988\pi$
$770$	2149.56	−	1372.28i	0.100604	−	0.0642253i
$771$	−21.7759	+	15.8211i	−0.00101717	+	0.000739018i
$772$	−19701.7	+	14314.2i	−0.918499	+	0.667329i
$773$	−619.601	−	1906.94i	−0.0288299	−	0.0887293i	0.935606	−	0.353045i	$-0.114854\pi$
$773$	−619.601	−	1906.94i	−0.0288299	−	0.0887293i	−0.964436	+	0.264316i	$0.914854\pi$
$774$	1730.21			0.0803505
$775$	−13691.2	−	12719.0i	−0.634584	−	0.589522i
$776$	−9474.59			−0.438296
$777$	−21.1592	−	65.1214i	−0.000976940	−	0.00300671i
$778$	436.868	−	317.403i	0.0201317	−	0.0146266i
$779$	2792.40	−	2028.80i	0.128431	−	0.0933108i
$780$	401.252	+	330.130i	0.0184194	+	0.0151546i
$781$	23053.6	+	16749.4i	1.05624	+	0.767402i
$782$	1434.19			0.0655836
$783$	69.7374	+	50.6672i	0.00318290	+	0.00231251i
$784$	−1507.82	+	4640.60i	−0.0686873	+	0.211398i
$785$	24399.0	+	1469.17i	1.10935	+	0.0667988i
$786$	13.5385	+	41.6673i	0.000614380	+	0.00189087i
$787$	3533.14	−	10873.9i	0.160029	−	0.492518i	−0.838607	−	0.544737i	$-0.816629\pi$
$787$	3533.14	−	10873.9i	0.160029	−	0.492518i	0.998636	+	0.0522191i	$0.0166294\pi$
$788$	−3559.35	+	10954.6i	−0.160909	+	0.495228i
$789$	139.240	+	428.537i	0.00628274	+	0.0193363i
$790$	1568.88	+	1290.80i	0.0706560	+	0.0581323i
$791$	3433.06	−	10565.9i	0.154318	−	0.474942i
$792$	−4875.31	−	3542.12i	−0.218733	−	0.158919i
$793$	−38798.4			−1.73742
$794$	−3591.81	−	2609.60i	−0.160540	−	0.116639i
$795$	151.309	−	385.188i	0.00675017	−	0.0171839i
$796$	3007.96	−	2185.41i	0.133937	−	0.0973112i
$797$	−25301.7	+	18382.8i	−1.12451	+	0.817002i	−0.984886	−	0.173203i	$-0.944588\pi$
$797$	−25301.7	+	18382.8i	−1.12451	+	0.817002i	−0.139621	+	0.990205i	$0.544588\pi$
$798$	16.3562	+	50.3392i	0.000725568	+	0.00223307i
$799$	−42386.5			−1.87675
$800$	−9924.62	−	1199.56i	−0.438611	−	0.0530137i
$801$	−30893.7			−1.36276
$802$	−896.225	−	2758.30i	−0.0394598	−	0.121445i
$803$	4333.75	−	3148.65i	0.190454	−	0.138373i
$804$	−250.048	+	181.670i	−0.0109683	+	0.00796893i
$805$	2136.47	+	8229.03i	0.0935410	+	0.360292i
$806$	−4047.75	−	2940.86i	−0.176893	−	0.128520i
$807$	−19.4061			−0.000846502
$808$	−961.360	−	698.469i	−0.0418571	−	0.0304110i
$809$	1593.30	−	4903.68i	0.0692430	−	0.213108i	−0.910447	−	0.413625i	$-0.864262\pi$
$809$	1593.30	−	4903.68i	0.0692430	−	0.213108i	0.979690	+	0.200517i	$0.0642623\pi$
$810$	−1279.62	+	3257.52i	−0.0555076	+	0.141306i
$811$	1284.92	+	3954.57i	0.0556344	+	0.171225i	0.975013	−	0.222150i	$-0.0713074\pi$
$811$	1284.92	+	3954.57i	0.0556344	+	0.171225i	−0.919378	+	0.393375i	$0.871307\pi$
$812$	−816.070	+	2511.60i	−0.0352690	+	0.108547i
$813$	130.678	−	402.185i	0.00563724	−	0.0173496i
$814$	−242.083	−	745.054i	−0.0104238	−	0.0320812i
$815$	−6773.66	+	17243.7i	−0.291130	+	0.741129i
$816$	−99.7432	+	306.978i	−0.00427906	+	0.0131696i
$817$	12049.4	+	8754.38i	0.515978	+	0.374880i
$818$	3990.59			0.170572
$819$	27487.1	+	19970.6i	1.17274	+	0.852049i
$820$	−759.074	−	2923.73i	−0.0323269	−	0.124513i
$821$	−19340.3	+	14051.5i	−0.822144	+	0.597323i	−0.917326	−	0.398137i	$-0.869657\pi$
$821$	−19340.3	+	14051.5i	−0.822144	+	0.597323i	0.0951818	+	0.995460i	$0.469657\pi$
$822$	−33.4724	+	24.3191i	−0.00142030	+	0.00103191i
$823$	4199.66	+	12925.2i	0.177875	+	0.547443i	0.999753	−	0.0222206i	$-0.00707362\pi$
$823$	4199.66	+	12925.2i	0.177875	+	0.547443i	−0.821878	+	0.569663i	$0.807074\pi$
$824$	6270.17			0.265087
$825$	−229.694	−	213.383i	−0.00969322	−	0.00900490i
$826$	2052.65			0.0864660
$827$	−10096.8	−	31074.7i	−0.424546	−	1.30662i	−0.903429	−	0.428739i	$-0.858958\pi$
$827$	−10096.8	−	31074.7i	−0.424546	−	1.30662i	0.478883	−	0.877879i	$-0.341042\pi$
$828$	8031.62	−	5835.31i	0.337099	−	0.244917i
$829$	−12134.3	+	8816.11i	−0.508375	+	0.369356i	−0.812207	−	0.583370i	$-0.801734\pi$
$829$	−12134.3	+	8816.11i	−0.508375	+	0.369356i	0.303832	+	0.952726i	$0.401734\pi$
$830$	719.544	−	1831.74i	0.0300912	−	0.0766032i
$831$	−429.802	−	312.269i	−0.0179418	−	0.0130355i
$832$	34462.3			1.43602
$833$	4697.75	+	3413.12i	0.195399	+	0.141966i
$834$	−14.9194	+	45.9171i	−0.000619443	+	0.00190645i
$835$	17069.5	+	14044.0i	0.707444	+	0.582050i
$836$	−7921.44	−	24379.7i	−0.327714	−	1.00860i
$837$	190.445	−	586.128i	0.00786467	−	0.0242050i
$838$	−1070.87	+	3295.80i	−0.0441439	+	0.135861i
$839$	−5629.88	−	17327.0i	−0.231663	−	0.712984i	−0.997547	−	0.0700054i	$-0.977698\pi$
$839$	−5629.88	−	17327.0i	−0.231663	−	0.712984i	0.765884	−	0.642979i	$-0.222302\pi$
$840$	93.5677	+	5.63414i	0.00384332	+	0.000231424i
$841$	−7401.50	+	22779.5i	−0.303477	+	0.934006i
$842$	538.900	+	391.534i	0.0220567	+	0.0160251i
$843$	423.459			0.0173010
$844$	−11790.9	−	8566.58i	−0.480875	−	0.349376i
$845$	−33408.3	−	27486.7i	−1.36009	−	1.11902i
$846$	5607.48	−	4074.08i	0.227883	−	0.165567i
$847$	−3292.01	+	2391.79i	−0.133548	+	0.0970280i
$848$	−8929.56	−	27482.4i	−0.361607	−	1.11291i
$849$	−216.324			−0.00874465
$850$	−1603.52	+	3455.79i	−0.0647062	+	0.139450i
$851$	2611.63			0.105200
$852$	159.942	+	492.251i	0.00643137	+	0.0197937i
$853$	−385.250	+	279.901i	−0.0154639	+	0.0112352i	−0.595490	−	0.803362i	$-0.703042\pi$
$853$	−385.250	+	279.901i	−0.0154639	+	0.0112352i	0.580026	+	0.814598i	$0.303042\pi$
$854$	−2798.21	+	2033.02i	−0.112123	+	0.0814620i
$855$	−25398.9	+	16214.6i	−1.01594	+	0.648572i
$856$	10763.4	+	7820.03i	0.429771	+	0.312247i
$857$	8090.37			0.322476			0.161238	−	0.986916i	$-0.448451\pi$
$857$	8090.37			0.322476			0.161238	+	0.986916i	$0.448451\pi$
$858$	−67.9080	−	49.3381i	−0.00270203	−	0.00196314i
$859$	−7077.24	+	21781.5i	−0.281109	+	0.865164i	0.706429	+	0.707784i	$0.250305\pi$
$859$	−7077.24	+	21781.5i	−0.281109	+	0.865164i	−0.987538	+	0.157380i	$0.949695\pi$
$860$	10986.4	−	7013.72i	0.435621	−	0.278100i
$861$	13.1798	+	40.5634i	0.000521682	+	0.00160557i
$862$	−2174.30	+	6691.80i	−0.0859128	+	0.264412i
$863$	−203.542	+	626.437i	−0.00802855	+	0.0247093i	−0.954991	−	0.296636i	$-0.904135\pi$
$863$	−203.542	+	626.437i	−0.00802855	+	0.0247093i	0.946962	+	0.321346i	$0.104135\pi$
$864$	−101.878	−	313.549i	−0.00401154	−	0.0123462i
$865$	−6583.06	−	25356.0i	−0.258764	−	0.996680i
$866$	−1236.33	+	3805.03i	−0.0485129	+	0.149307i
$867$	7.29733	+	5.30182i	0.000285848	+	0.000207681i
$868$	18880.9			0.738318
$869$	11239.6	+	8166.06i	0.438755	+	0.318774i
$870$	−7.65556	−	0.460976i	−0.000298331	−	1.79638e-5i
$871$	32639.5	−	23714.0i	1.26975	−	0.922524i
$872$	2881.52	−	2093.55i	0.111904	−	0.0813033i
$873$	11630.2	+	35794.1i	0.450885	+	1.38768i
$874$	−2018.81			−0.0781318
$875$	−22217.2	−	4052.63i	−0.858376	−	0.156576i
$876$	97.2983			0.00375275
$877$	8819.17	+	27142.6i	0.339569	+	1.04509i	0.964427	+	0.264348i	$0.0851568\pi$
$877$	8819.17	+	27142.6i	0.339569	+	1.04509i	−0.624858	+	0.780738i	$0.714843\pi$
$878$	5426.11	−	3942.30i	0.208568	−	0.151533i
$879$	283.737	−	206.147i	0.0108876	−	0.00791031i
$880$	−21851.8	−	1315.80i	−0.837072	−	0.0504039i
$881$	22413.8	+	16284.6i	0.857138	+	0.622747i	0.927105	−	0.374802i	$-0.122289\pi$
$881$	22413.8	+	16284.6i	0.857138	+	0.622747i	−0.0699667	+	0.997549i	$0.522289\pi$
$882$	−949.545			−0.0362504
$883$	−21693.4	−	15761.2i	−0.826772	−	0.600685i	0.0918720	−	0.995771i	$-0.470715\pi$
$883$	−21693.4	−	15761.2i	−0.826772	−	0.600685i	−0.918644	+	0.395086i	$0.870715\pi$
$884$	13342.4	−	41063.8i	0.507640	−	1.56236i
$885$	−63.4123	−	244.245i	−0.00240857	−	0.00927708i
$886$	−591.167	−	1819.42i	−0.0224161	−	0.0689895i
$887$	12653.7	−	38944.1i	0.478997	−	1.47420i	−0.361494	−	0.932375i	$-0.617733\pi$
$887$	12653.7	−	38944.1i	0.478997	−	1.47420i	0.840491	−	0.541826i	$-0.182267\pi$
$888$	8.89801	−	27.3853i	0.000336259	−	0.00103490i
$889$	−9231.57	−	28411.8i	−0.348275	−	1.07188i
$890$	4634.13	−	2958.43i	0.174535	−	0.111423i
$891$	−7395.67	+	22761.5i	−0.278074	+	0.855825i
$892$	25663.2	+	18645.4i	0.963304	+	0.699881i
$893$	59664.6			2.23583
$894$	10.3968	+	7.55372i	0.000388950	+	0.000282589i
$895$	5237.98	−	3343.92i	0.195627	−	0.124888i
$896$	10849.9	−	7882.88i	0.404541	−	0.293916i
$897$	226.387	−	164.480i	0.00842680	−	0.00612243i
$898$	−1281.05	−	3942.66i	−0.0476048	−	0.146512i
$899$	−3126.10			−0.115975
$900$	5080.76	+	25877.1i	0.188176	+	0.958412i
$901$	−34388.4			−1.27153
$902$	150.791	+	464.086i	0.00556628	+	0.0171312i
$903$	−148.892	+	108.177i	−0.00548708	+	0.00398659i
$904$	3779.63	−	2746.06i	0.139058	−	0.101032i
$905$	27098.2	+	22295.0i	0.995330	+	0.818909i
$906$	−56.0044	−	40.6896i	−0.00205367	−	0.00149208i
$907$	42971.4			1.57314			0.786571	−	0.617499i	$-0.211854\pi$
$907$	42971.4			1.57314			0.786571	+	0.617499i	$0.211854\pi$
$908$	−13833.8	−	10050.8i	−0.505605	−	0.367344i
$909$	−1458.66	+	4489.31i	−0.0532242	+	0.163807i
$910$	−6035.55	−	363.428i	−0.219864	−	0.0132390i
$911$	4221.94	+	12993.8i	0.153545	+	0.472561i	0.998011	−	0.0630477i	$-0.0200820\pi$
$911$	4221.94	+	12993.8i	0.153545	+	0.472561i	−0.844466	+	0.535609i	$0.820082\pi$
$912$	140.402	−	432.112i	0.00509777	−	0.0156893i
$913$	4158.68	−	12799.1i	0.150747	−	0.463952i
$914$	2096.92	+	6453.67i	0.0758863	+	0.233554i
$915$	328.354	+	270.154i	0.0118634	+	0.00976066i
$916$	−11032.0	+	33953.1i	−0.397935	+	1.22472i
$917$	17459.6	+	12685.1i	0.628753	+	0.456816i
$918$	−125.639			−0.00451712
$919$	−27824.2	−	20215.5i	−0.998733	−	0.725622i	−0.0369170	−	0.999318i	$-0.511754\pi$
$919$	−27824.2	−	20215.5i	−0.998733	−	0.725622i	−0.961816	+	0.273696i	$0.911754\pi$
$920$	−1307.19	+	3327.71i	−0.0468444	+	0.119252i
$921$	205.206	−	149.091i	0.00734178	−	0.00533411i
$922$	−1006.40	+	731.192i	−0.0359480	+	0.0261177i
$923$	−20877.7	−	64255.1i	−0.744528	−	2.29142i
$924$	316.760			0.0112777
$925$	−2919.98	+	6292.94i	−0.103793	+	0.223687i
$926$	−132.937			−0.00471769
$927$	−7696.72	−	23688.1i	−0.272701	−	0.839287i
$928$	−1352.93	+	982.958i	−0.0478577	+	0.0347707i
$929$	13949.1	−	10134.6i	0.492631	−	0.357917i	−0.313564	−	0.949567i	$-0.601523\pi$
$929$	13949.1	−	10134.6i	0.492631	−	0.357917i	0.806195	+	0.591650i	$0.201523\pi$
$930$	13.7792	+	53.0733i	0.000485846	+	0.00187133i
$931$	−6612.71	−	4804.42i	−0.232785	−	0.169128i
$932$	−27453.9			−0.964895
$933$	−308.127	−	223.867i	−0.0108120	−	0.00785540i
$934$	−2038.90	+	6275.08i	−0.0714291	+	0.219836i
$935$	−9525.11	+	24248.0i	−0.333160	+	0.848124i
$936$	4415.17	+	13588.5i	0.154182	+	0.474523i
$937$	−7362.47	+	22659.4i	−0.256693	+	0.790020i	0.736798	+	0.676113i	$0.236337\pi$
$937$	−7362.47	+	22659.4i	−0.256693	+	0.790020i	−0.993491	+	0.113907i	$0.963663\pi$
$938$	1111.42	−	3420.60i	0.0386878	−	0.119069i
$939$	45.8816	+	141.209i	0.00159456	+	0.00490755i
$940$	19091.1	−	48600.2i	0.662430	−	1.68635i
$941$	−9029.73	+	27790.6i	−0.312817	+	0.962751i	0.663827	+	0.747886i	$0.268931\pi$
$941$	−9029.73	+	27790.6i	−0.312817	+	0.962751i	−0.976644	+	0.214865i	$0.931069\pi$
$942$	−58.0237	−	42.1567i	−0.00200692	−	0.00145811i
$943$	−1626.76			−0.0561765
$944$	−14254.9	−	10356.8i	−0.491479	−	0.357081i
$945$	−187.161	−	720.889i	−0.00644270	−	0.0248154i
$946$	−1703.48	+	1237.65i	−0.0585464	+	0.0425364i
$947$	−41107.6	+	29866.4i	−1.41058	+	1.02484i	−0.417338	+	0.908751i	$0.637037\pi$
$947$	−41107.6	+	29866.4i	−1.41058	+	1.02484i	−0.993238	+	0.116093i	$0.962963\pi$
$948$	77.9786	+	239.994i	0.00267155	+	0.00822218i
$949$	−12700.6			−0.434437
$950$	2257.17	−	4864.48i	0.0770864	−	0.166131i
$951$	514.065			0.0175286
$952$	−2406.99	−	7407.94i	−0.0819442	−	0.252198i
$953$	−9863.57	+	7166.30i	−0.335270	+	0.243588i	−0.742663	−	0.669665i	$-0.766438\pi$
$953$	−9863.57	+	7166.30i	−0.335270	+	0.243588i	0.407393	+	0.913253i	$0.366438\pi$
$954$	4549.39	−	3305.32i	0.154394	−	0.112174i
$955$	−12852.4	+	32718.3i	−0.435491	+	1.10863i
$956$	14318.9	+	10403.3i	0.484420	+	0.351952i
$957$	−52.4458			−0.00177151
$958$	3355.56	+	2437.96i	0.113166	+	0.0822201i
$959$	−6297.94	+	19383.1i	−0.212066	+	0.652672i
$960$	−291.657	−	239.961i	−0.00980541	−	0.00806741i
$961$	−2299.34	−	7076.63i	−0.0771823	−	0.237543i
$962$	−573.963	+	1766.48i	−0.0192363	+	0.0592032i
$963$	16331.1	−	50262.1i	0.546484	−	1.68190i
$964$	−2869.75	−	8832.17i	−0.0958800	−	0.295088i
$965$	−34774.9	−	2093.96i	−1.16005	−	0.0698517i
$966$	7.70878	−	23.7252i	0.000256756	−	0.000790212i
$967$	25583.1	+	18587.2i	0.850774	+	0.618123i	0.925359	−	0.379091i	$-0.123763\pi$
$967$	25583.1	+	18587.2i	0.850774	+	0.618123i	−0.0745856	+	0.997215i	$0.523763\pi$
$968$	−1711.18			−0.0568177
$969$	−437.434	−	317.814i	−0.0145020	−	0.0105363i
$970$	−5172.25	−	4255.48i	−0.171207	−	0.140861i
$971$	−25418.7	+	18467.8i	−0.840088	+	0.610360i	−0.922395	−	0.386247i	$-0.873771\pi$
$971$	−25418.7	+	18467.8i	−0.840088	+	0.610360i	0.0823074	+	0.996607i	$0.473771\pi$
$972$	−1055.43	+	766.816i	−0.0348282	+	0.0253041i
$973$	7349.16	+	22618.4i	0.242141	+	0.745234i
$974$	−2742.83			−0.0902320
$975$	143.211	+	729.398i	0.00470403	+	0.0239584i
$976$	29690.2			0.973730
$977$	−9290.17	−	28592.2i	−0.304216	−	0.936280i	−0.979969	−	0.199151i	$-0.936181\pi$
$977$	−9290.17	−	28592.2i	−0.304216	−	0.936280i	0.675753	−	0.737128i	$-0.263819\pi$
$978$	43.9783	−	31.9521i	0.00143791	−	0.00104470i
$979$	30416.3	−	22098.7i	0.992962	−	0.721429i
$980$	−6029.37	+	3849.14i	−0.196532	+	0.125466i
$981$	−11446.3	−	8316.24i	−0.372531	−	0.270660i
$982$	−7354.90			−0.239007
$983$	36362.3	+	26418.7i	1.17983	+	0.857199i	0.992153	−	0.125031i	$-0.0399030\pi$
$983$	36362.3	+	26418.7i	1.17983	+	0.857199i	0.187681	+	0.982230i	$0.439903\pi$
$984$	−5.54247	+	17.0580i	−0.000179561	+	0.000552631i
$985$	−13888.7	+	8866.52i	−0.449269	+	0.286813i
$986$	196.936	+	606.106i	0.00636076	+	0.0195764i
$987$	−227.828	+	701.183i	−0.00734737	+	0.0226129i
$988$	−18781.2	+	57802.7i	−0.604768	+	1.86128i
$989$	−2169.16	−	6675.99i	−0.0697425	−	0.214645i
$990$	−1070.54	−	4123.40i	−0.0343677	−	0.132374i
$991$	15604.2	−	48024.8i	0.500185	−	1.53941i	−0.308532	−	0.951214i	$-0.599838\pi$
$991$	15604.2	−	48024.8i	0.500185	−	1.53941i	0.808717	−	0.588198i	$-0.200162\pi$
$992$	9672.79	+	7027.69i	0.309588	+	0.224929i
$993$	73.5977			0.00235202
$994$	−4872.68	−	3540.21i	−0.155485	−	0.112966i
$995$	5309.25	+	319.694i	0.169160	+	0.0101859i
$996$	197.756	−	143.678i	0.00629130	−	0.00457090i
$997$	7287.27	−	5294.51i	0.231485	−	0.168183i	−0.465997	−	0.884787i	$-0.654304\pi$
$997$	7287.27	−	5294.51i	0.231485	−	0.168183i	0.697481	+	0.716603i	$0.254304\pi$
$998$	−2271.18	−	6989.97i	−0.0720370	−	0.221707i
$999$	−228.787			−0.00724575

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	25.4.d.a.6.4	✓	28
3.2	odd	2		225.4.h.b.181.4		28
5.2	odd	4		125.4.e.b.99.8		56
5.3	odd	4		125.4.e.b.99.7		56
5.4	even	2		125.4.d.a.26.4		28
25.3	odd	20		125.4.e.b.24.8		56
25.4	even	10		125.4.d.a.101.4		28
25.11	even	5		625.4.a.c.1.7		14
25.14	even	10		625.4.a.d.1.8		14
25.21	even	5	inner	25.4.d.a.21.4	yes	28
25.22	odd	20		125.4.e.b.24.7		56
75.71	odd	10		225.4.h.b.46.4		28

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
25.4.d.a.6.4	✓	28	1.1	even	1	trivial
25.4.d.a.21.4	yes	28	25.21	even	5	inner
125.4.d.a.26.4		28	5.4	even	2
125.4.d.a.101.4		28	25.4	even	10
125.4.e.b.24.7		56	25.22	odd	20
125.4.e.b.24.8		56	25.3	odd	20
125.4.e.b.99.7		56	5.3	odd	4
125.4.e.b.99.8		56	5.2	odd	4
225.4.h.b.46.4		28	75.71	odd	10
225.4.h.b.181.4		28	3.2	odd	2
625.4.a.c.1.7		14	25.11	even	5
625.4.a.d.1.8		14	25.14	even	10

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 25 = 5^{2} \)
Weight:	\( k \)	\(=\)	\( 4 \)
Character orbit:	\([\chi]\)	\(=\)	25.d (of order \(5\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.132779 - 0.408651i) q^{2} +(0.0617670 - 0.0448763i) q^{3} +(6.32277 - 4.59376i) q^{4} +(11.1601 + 0.672002i) q^{5} +(-0.0265401 - 0.0192825i) q^{6} -16.1597 q^{7} +(-5.49773 - 3.99433i) q^{8} +(-8.34166 + 25.6730i) q^{9} +O(q^{10})\)	\(q+(-0.132779 - 0.408651i) q^{2} +(0.0617670 - 0.0448763i) q^{3} +(6.32277 - 4.59376i) q^{4} +(11.1601 + 0.672002i) q^{5} +(-0.0265401 - 0.0192825i) q^{6} -16.1597 q^{7} +(-5.49773 - 3.99433i) q^{8} +(-8.34166 + 25.6730i) q^{9} +(-1.20721 - 4.64982i) q^{10} +(-10.1515 - 31.2432i) q^{11} +(0.184387 - 0.567486i) q^{12} +(-24.0686 + 74.0757i) q^{13} +(2.14566 + 6.60366i) q^{14} +(0.719484 - 0.459318i) q^{15} +(18.4184 - 56.6859i) q^{16} +(-57.3840 - 41.6919i) q^{17} +11.5989 q^{18} +(80.7756 + 58.6869i) q^{19} +(73.6499 - 47.0180i) q^{20} +(-0.998134 + 0.725187i) q^{21} +(-11.4197 + 8.29687i) q^{22} +(-14.5415 - 44.7540i) q^{23} -0.518829 q^{24} +(124.097 + 14.9993i) q^{25} +33.4669 q^{26} +(1.27388 + 3.92060i) q^{27} +(-102.174 + 74.2337i) q^{28} +(16.9169 - 12.2908i) q^{29} +(-0.283233 - 0.233030i) q^{30} +(-120.948 - 87.8738i) q^{31} -79.9748 q^{32} +(-2.02911 - 1.47423i) q^{33} +(-9.41807 + 28.9858i) q^{34} +(-180.344 - 10.8593i) q^{35} +(65.1932 + 200.644i) q^{36} +(-17.1502 + 52.7828i) q^{37} +(13.2572 - 40.8014i) q^{38} +(1.83760 + 5.65554i) q^{39} +(-58.6711 - 48.2718i) q^{40} +(10.6827 - 32.8778i) q^{41} +(0.428879 + 0.311599i) q^{42} +149.171 q^{43} +(-207.710 - 150.910i) q^{44} +(-110.346 + 280.908i) q^{45} +(-16.3580 + 11.8848i) q^{46} +(483.450 - 351.247i) q^{47} +(-1.40621 - 4.32787i) q^{48} -81.8652 q^{49} +(-10.3480 - 52.7039i) q^{50} -5.41542 q^{51} +(188.105 + 578.929i) q^{52} +(392.226 - 284.969i) q^{53} +(1.43301 - 1.04114i) q^{54} +(-92.2969 - 355.500i) q^{55} +(88.8415 + 64.5471i) q^{56} +7.62292 q^{57} +(-7.26886 - 5.28114i) q^{58} +(91.3523 - 281.153i) q^{59} +(2.43914 - 6.20930i) q^{60} +(153.931 + 473.752i) q^{61} +(-19.8504 + 61.0932i) q^{62} +(134.798 - 414.867i) q^{63} +(-136.728 - 420.805i) q^{64} +(-318.388 + 810.519i) q^{65} +(-0.333025 + 1.02494i) q^{66} +(-419.059 - 304.464i) q^{67} -554.349 q^{68} +(-2.90658 - 2.11175i) q^{69} +(19.5082 + 75.1396i) q^{70} +(-701.761 + 509.860i) q^{71} +(148.407 - 107.824i) q^{72} +(50.3894 + 155.083i) q^{73} +23.8469 q^{74} +(8.33820 - 4.64255i) q^{75} +780.320 q^{76} +(164.045 + 504.880i) q^{77} +(2.06715 - 1.50187i) q^{78} +(-342.139 + 248.578i) q^{79} +(243.644 - 620.244i) q^{80} +(-589.391 - 428.218i) q^{81} -14.8540 q^{82} +(331.422 + 240.792i) q^{83} +(-2.97964 + 9.17038i) q^{84} +(-612.396 - 503.849i) q^{85} +(-19.8067 - 60.9588i) q^{86} +(0.493337 - 1.51834i) q^{87} +(-68.9854 + 212.315i) q^{88} +(353.657 + 1088.44i) q^{89} +(129.445 + 7.79447i) q^{90} +(388.941 - 1197.04i) q^{91} +(-297.532 - 216.169i) q^{92} -11.4140 q^{93} +(-207.729 - 150.924i) q^{94} +(862.029 + 709.235i) q^{95} +(-4.93981 + 3.58898i) q^{96} +(1127.96 - 819.508i) q^{97} +(10.8700 + 33.4543i) q^{98} +886.787 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 28 q - q^{2} - 7 q^{3} - 31 q^{4} - 20 q^{5} + q^{6} - 16 q^{7} + 100 q^{8} - 34 q^{9}+O(q^{10}) \) 28 * q - q^2 - 7 * q^3 - 31 * q^4 - 20 * q^5 + q^6 - 16 * q^7 + 100 * q^8 - 34 * q^9	\( 28 q - q^{2} - 7 q^{3} - 31 q^{4} - 20 q^{5} + q^{6} - 16 q^{7} + 100 q^{8} - 34 q^{9} - 25 q^{10} - 89 q^{11} + 139 q^{12} + 33 q^{13} - 17 q^{14} + 225 q^{15} - 207 q^{16} - 191 q^{17} - 552 q^{18} - 115 q^{19} - 225 q^{20} - 144 q^{21} + 808 q^{22} + 433 q^{23} + 780 q^{24} + 90 q^{25} + 586 q^{26} + 35 q^{27} - 13 q^{28} - 5 q^{29} + 675 q^{30} - 639 q^{31} - 1386 q^{32} + 251 q^{33} - 777 q^{34} - 1030 q^{35} + 673 q^{36} + 699 q^{37} - 2355 q^{38} - 1133 q^{39} + 410 q^{40} + 341 q^{41} - 2407 q^{42} - 172 q^{43} + 548 q^{44} + 470 q^{45} - 1239 q^{46} + 2319 q^{47} + 4738 q^{48} + 1344 q^{49} + 2335 q^{50} + 2006 q^{51} + 2344 q^{52} - 927 q^{53} + 1615 q^{54} + 1225 q^{55} - 2910 q^{56} - 770 q^{57} + 2410 q^{58} - 1905 q^{59} - 12030 q^{60} + 1391 q^{61} - 3832 q^{62} - 6142 q^{63} - 3596 q^{64} + 1215 q^{65} + 3632 q^{66} - 3611 q^{67} + 3622 q^{68} + 2687 q^{69} + 560 q^{70} - 3719 q^{71} + 9025 q^{72} + 4593 q^{73} + 4848 q^{74} + 3815 q^{75} + 3520 q^{76} + 1368 q^{77} - 3679 q^{78} + 775 q^{79} + 9500 q^{80} - 3712 q^{81} - 6762 q^{82} - 2447 q^{83} - 7612 q^{84} - 8185 q^{85} + 3891 q^{86} - 85 q^{87} - 10960 q^{88} - 5075 q^{89} + 685 q^{90} + 376 q^{91} - 8456 q^{92} + 4366 q^{93} + 3573 q^{94} + 3265 q^{95} - 7754 q^{96} + 7439 q^{97} + 7082 q^{98} + 6572 q^{99}+O(q^{100}) \) 28 * q - q^2 - 7 * q^3 - 31 * q^4 - 20 * q^5 + q^6 - 16 * q^7 + 100 * q^8 - 34 * q^9 - 25 * q^10 - 89 * q^11 + 139 * q^12 + 33 * q^13 - 17 * q^14 + 225 * q^15 - 207 * q^16 - 191 * q^17 - 552 * q^18 - 115 * q^19 - 225 * q^20 - 144 * q^21 + 808 * q^22 + 433 * q^23 + 780 * q^24 + 90 * q^25 + 586 * q^26 + 35 * q^27 - 13 * q^28 - 5 * q^29 + 675 * q^30 - 639 * q^31 - 1386 * q^32 + 251 * q^33 - 777 * q^34 - 1030 * q^35 + 673 * q^36 + 699 * q^37 - 2355 * q^38 - 1133 * q^39 + 410 * q^40 + 341 * q^41 - 2407 * q^42 - 172 * q^43 + 548 * q^44 + 470 * q^45 - 1239 * q^46 + 2319 * q^47 + 4738 * q^48 + 1344 * q^49 + 2335 * q^50 + 2006 * q^51 + 2344 * q^52 - 927 * q^53 + 1615 * q^54 + 1225 * q^55 - 2910 * q^56 - 770 * q^57 + 2410 * q^58 - 1905 * q^59 - 12030 * q^60 + 1391 * q^61 - 3832 * q^62 - 6142 * q^63 - 3596 * q^64 + 1215 * q^65 + 3632 * q^66 - 3611 * q^67 + 3622 * q^68 + 2687 * q^69 + 560 * q^70 - 3719 * q^71 + 9025 * q^72 + 4593 * q^73 + 4848 * q^74 + 3815 * q^75 + 3520 * q^76 + 1368 * q^77 - 3679 * q^78 + 775 * q^79 + 9500 * q^80 - 3712 * q^81 - 6762 * q^82 - 2447 * q^83 - 7612 * q^84 - 8185 * q^85 + 3891 * q^86 - 85 * q^87 - 10960 * q^88 - 5075 * q^89 + 685 * q^90 + 376 * q^91 - 8456 * q^92 + 4366 * q^93 + 3573 * q^94 + 3265 * q^95 - 7754 * q^96 + 7439 * q^97 + 7082 * q^98 + 6572 * q^99

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