LMFDB - Embedded newform 177.4.e.a.4.7

Newspace parameters

Level:	$ N $	$=$	$ 177 = 3 \cdot 59 $
Weight:	$ k $	$=$	$ 4 $
Character orbit:	$[\chi]$	$=$	177.e (of order $29$, degree $28$, minimal)

Newform invariants

Self dual:	no
Analytic conductor:	$10.4433380710$
Analytic rank:	$0$
Dimension:	$420$
Relative dimension:	$15$ over $\Q(\zeta_{29})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{29}]$

Embedding invariants

Embedding label			4.7
Character	$\chi$	$=$	177.4
Dual form			177.4.e.a.133.7

$q$-expansion

$f(q)$	$=$	$q+(-0.689793 - 0.0750196i) q^{2} +(-1.94216 + 2.28649i) q^{3} +(-7.34278 - 1.61627i) q^{4} +(-13.2529 - 10.0746i) q^{5} +(1.51122 - 1.43150i) q^{6} +(3.00216 - 7.53485i) q^{7} +(10.2041 + 3.43815i) q^{8} +(-1.45604 - 8.88144i) q^{9} +O(q^{10})$	\(q+(-0.689793 - 0.0750196i) q^{2} +(-1.94216 + 2.28649i) q^{3} +(-7.34278 - 1.61627i) q^{4} +(-13.2529 - 10.0746i) q^{5} +(1.51122 - 1.43150i) q^{6} +(3.00216 - 7.53485i) q^{7} +(10.2041 + 3.43815i) q^{8} +(-1.45604 - 8.88144i) q^{9} +(8.38595 + 7.94360i) q^{10} +(-20.9645 + 9.69923i) q^{11} +(17.9564 - 13.6501i) q^{12} +(0.115534 - 0.704729i) q^{13} +(-2.63613 + 4.97227i) q^{14} +(48.7745 - 10.7361i) q^{15} +(47.8085 + 22.1186i) q^{16} +(21.2754 + 53.3973i) q^{17} +(0.338084 + 6.23559i) q^{18} +(13.2054 + 19.4765i) q^{19} +(81.0297 + 95.3955i) q^{20} +(11.3977 + 21.4983i) q^{21} +(15.1888 - 5.11771i) q^{22} +(-1.25608 + 23.1670i) q^{23} +(-27.6792 + 16.6540i) q^{24} +(40.7005 + 146.590i) q^{25} +(-0.132563 + 0.477450i) q^{26} +(23.1351 + 13.9200i) q^{27} +(-34.2225 + 50.4744i) q^{28} +(-52.4552 + 5.70485i) q^{29} +(-34.4498 + 3.74664i) q^{30} +(-16.3758 + 24.1524i) q^{31} +(-105.130 - 63.2545i) q^{32} +(18.5393 - 66.7726i) q^{33} +(-10.6698 - 38.4292i) q^{34} +(-115.698 + 69.6129i) q^{35} +(-3.66342 + 67.5678i) q^{36} +(275.751 - 92.9112i) q^{37} +(-7.64788 - 14.4254i) q^{38} +(1.38697 + 1.63286i) q^{39} +(-100.595 - 148.367i) q^{40} +(6.08717 + 112.271i) q^{41} +(-6.24924 - 15.6844i) q^{42} +(218.599 + 101.134i) q^{43} +(169.614 - 37.3350i) q^{44} +(-70.1800 + 132.373i) q^{45} +(2.60441 - 15.8862i) q^{46} +(113.240 - 86.0827i) q^{47} +(-143.425 + 66.3557i) q^{48} +(201.255 + 190.639i) q^{49} +(-17.0778 - 104.170i) q^{50} +(-163.412 - 55.0601i) q^{51} +(-1.98737 + 4.98793i) q^{52} +(28.2512 - 26.7610i) q^{53} +(-14.9142 - 11.3375i) q^{54} +(375.556 + 82.6661i) q^{55} +(56.5401 - 66.5642i) q^{56} +(-70.1798 - 7.63251i) q^{57} +36.6113 q^{58} +(-165.381 - 421.934i) q^{59} -375.493 q^{60} +(694.049 + 75.4824i) q^{61} +(13.1078 - 15.4317i) q^{62} +(-71.2915 - 15.6925i) q^{63} +(-267.715 - 203.511i) q^{64} +(-8.63100 + 8.17572i) q^{65} +(-17.7975 + 44.6685i) q^{66} +(-349.620 - 117.801i) q^{67} +(-69.9164 - 426.471i) q^{68} +(-50.5316 - 47.8660i) q^{69} +(85.0297 - 39.3389i) q^{70} +(-789.804 + 600.394i) q^{71} +(15.6782 - 95.6328i) q^{72} +(209.909 - 395.930i) q^{73} +(-197.181 + 43.4028i) q^{74} +(-414.223 - 191.640i) q^{75} +(-65.4851 - 164.355i) q^{76} +(10.1434 + 187.083i) q^{77} +(-0.834224 - 1.23039i) q^{78} +(350.640 + 412.805i) q^{79} +(-410.765 - 774.784i) q^{80} +(-76.7599 + 25.8634i) q^{81} +(4.22365 - 77.9006i) q^{82} +(-813.894 + 489.704i) q^{83} +(-48.9435 - 176.279i) q^{84} +(255.994 - 922.008i) q^{85} +(-143.201 - 86.1611i) q^{86} +(88.8323 - 131.018i) q^{87} +(-247.271 + 26.8923i) q^{88} +(-1038.96 + 112.994i) q^{89} +(58.3403 - 86.0455i) q^{90} +(-4.96317 - 2.98624i) q^{91} +(46.6672 - 168.080i) q^{92} +(-23.4199 - 84.3508i) q^{93} +(-84.5700 + 50.8841i) q^{94} +(21.2080 - 391.158i) q^{95} +(348.809 - 117.528i) q^{96} +(561.327 + 1058.78i) q^{97} +(-124.523 - 146.600i) q^{98} +(116.668 + 172.073i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 420q - 2q^{2} + 45q^{3} - 64q^{4} + 14q^{5} + 6q^{6} + 6q^{7} + 18q^{8} - 135q^{9} + O(q^{10}) $	\( 420q - 2q^{2} + 45q^{3} - 64q^{4} + 14q^{5} + 6q^{6} + 6q^{7} + 18q^{8} - 135q^{9} + 854q^{10} + 32q^{11} + 192q^{12} - 22q^{13} - 884q^{14} - 42q^{15} - 268q^{16} - 56q^{17} - 18q^{18} - 112q^{19} - 250q^{20} + 243q^{21} + 108q^{22} + 16q^{23} - 54q^{24} - 197q^{25} - 328q^{26} + 405q^{27} + 236q^{28} - 54q^{29} - 126q^{30} + 66q^{31} + 857q^{32} - 96q^{33} + 112q^{34} + 532q^{35} - 576q^{36} + 110q^{37} + 56q^{38} + 66q^{39} - 6044q^{40} + 304q^{41} - 306q^{42} - 324q^{43} - 568q^{44} + 126q^{45} + 5842q^{46} + 4082q^{47} + 804q^{48} + 739q^{49} + 576q^{50} + 168q^{51} - 1372q^{52} - 1498q^{53} + 54q^{54} - 4422q^{55} - 12036q^{56} + 336q^{57} + 6298q^{58} - 3305q^{59} + 750q^{60} - 1718q^{61} - 4333q^{62} + 54q^{63} - 6250q^{64} - 5884q^{65} - 324q^{66} + 382q^{67} + 734q^{68} + 3780q^{69} + 8082q^{70} + 8638q^{71} + 162q^{72} + 8894q^{73} + 12428q^{74} + 243q^{75} - 15468q^{76} - 9916q^{77} + 984q^{78} - 578q^{79} + 24570q^{80} - 1215q^{81} - 1382q^{82} - 32q^{83} + 7557q^{84} + 708q^{85} + 2296q^{86} - 5928q^{87} - 17646q^{88} - 2284q^{89} + 378q^{90} + 11124q^{91} + 762q^{92} - 198q^{93} - 1232q^{94} + 24184q^{95} - 396q^{96} - 658q^{97} - 4356q^{98} + 288q^{99} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/177\mathbb{Z}\right)^\times$.

$n$	$61$	$119$
$\chi(n)$	$e\left(\frac{1}{29}\right)$	$1$

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 $

$2$	−0.689793	−	0.0750196i	−0.243879	−	0.0265234i	−0.0146368	−	0.999893i	$-0.504659\pi$
$2$	−0.689793	−	0.0750196i	−0.243879	−	0.0265234i	−0.229242	+	0.973369i	$0.573625\pi$
$3$	−1.94216	+	2.28649i	−0.373769	+	0.440034i
$3$	−1.94216	+	2.28649i	−0.373769	+	0.440034i
$4$	−7.34278	−	1.61627i	−0.917847	−	0.202033i
$5$	−13.2529	−	10.0746i	−1.18537	−	0.901097i	−0.188654	−	0.982044i	$-0.560413\pi$
$5$	−13.2529	−	10.0746i	−1.18537	−	0.901097i	−0.996718	+	0.0809468i	$0.974206\pi$
$6$	1.51122	−	1.43150i	0.102825	−	0.0974015i
$7$	3.00216	−	7.53485i	0.162101	−	0.406844i	−0.825380	−	0.564577i	$-0.809039\pi$
$7$	3.00216	−	7.53485i	0.162101	−	0.406844i	0.987482	+	0.157733i	$0.0504187\pi$
$8$	10.2041	+	3.43815i	0.450960	+	0.151946i
$9$	−1.45604	−	8.88144i	−0.0539273	−	0.328942i
$10$	8.38595	+	7.94360i	0.265187	+	0.251199i
$11$	−20.9645	+	9.69923i	−0.574641	+	0.265857i	−0.685613	−	0.727966i	$-0.740466\pi$
$11$	−20.9645	+	9.69923i	−0.574641	+	0.265857i	0.110972	+	0.993824i	$0.464604\pi$
$12$	17.9564	−	13.6501i	0.431964	−	0.328371i
$13$	0.115534	−	0.704729i	0.00246488	−	0.0150351i	−0.985565	−	0.169295i	$-0.945851\pi$
$13$	0.115534	−	0.704729i	0.00246488	−	0.0150351i	0.988030	+	0.154260i	$0.0492993\pi$
$14$	−2.63613	+	4.97227i	−0.0503240	+	0.0949210i
$15$	48.7745	−	10.7361i	0.839569	−	0.184803i
$16$	47.8085	+	22.1186i	0.747008	+	0.345603i
$17$	21.2754	+	53.3973i	0.303532	+	0.761809i	0.999062	+	0.0433109i	$0.0137906\pi$
$17$	21.2754	+	53.3973i	0.303532	+	0.761809i	−0.695529	+	0.718498i	$0.744830\pi$
$18$	0.338084	+	6.23559i	0.00442706	+	0.0816524i
$19$	13.2054	+	19.4765i	0.159449	+	0.235169i	0.899019	−	0.437911i	$-0.144281\pi$
$19$	13.2054	+	19.4765i	0.159449	+	0.235169i	−0.739570	+	0.673080i	$0.764971\pi$
$20$	81.0297	+	95.3955i	0.905939	+	1.06655i
$21$	11.3977	+	21.4983i	0.118437	+	0.223396i
$22$	15.1888	−	5.11771i	0.147194	−	0.0495955i
$23$	−1.25608	+	23.1670i	−0.0113874	+	0.210029i	0.987302	+	0.158853i	$0.0507796\pi$
$23$	−1.25608	+	23.1670i	−0.0113874	+	0.210029i	−0.998690	+	0.0511756i	$0.983703\pi$
$24$	−27.6792	+	16.6540i	−0.235416	+	0.141645i
$25$	40.7005	+	146.590i	0.325604	+	1.17272i
$26$	−0.132563	+	0.477450i	−0.000999916	+	0.00360137i
$27$	23.1351	+	13.9200i	0.164902	+	0.0992184i
$28$	−34.2225	+	50.4744i	−0.230980	+	0.340670i
$29$	−52.4552	+	5.70485i	−0.335886	+	0.0365298i	−0.274508	−	0.961585i	$-0.588515\pi$
$29$	−52.4552	+	5.70485i	−0.335886	+	0.0365298i	−0.0613779	+	0.998115i	$0.519549\pi$
$30$	−34.4498	+	3.74664i	−0.209655	+	0.0228013i
$31$	−16.3758	+	24.1524i	−0.0948766	+	0.139932i	−0.872165	−	0.489212i	$-0.837284\pi$
$31$	−16.3758	+	24.1524i	−0.0948766	+	0.139932i	0.777288	+	0.629145i	$0.216595\pi$
$32$	−105.130	−	63.2545i	−0.580766	−	0.349435i
$33$	18.5393	−	66.7726i	0.0977964	−	0.352231i
$34$	−10.6698	−	38.4292i	−0.0538193	−	0.193840i
$35$	−115.698	+	69.6129i	−0.558756	+	0.336192i
$36$	−3.66342	+	67.5678i	−0.0169603	+	0.312814i
$37$	275.751	−	92.9112i	1.22522	−	0.412825i	0.368996	−	0.929431i	$-0.379701\pi$
$37$	275.751	−	92.9112i	1.22522	−	0.412825i	0.856223	+	0.516606i	$0.172805\pi$
$38$	−7.64788	−	14.4254i	−0.0326487	−	0.0615819i
$39$	1.38697	+	1.63286i	0.00569468	+	0.00670429i
$40$	−100.595	−	148.367i	−0.397638	−	0.586472i
$41$	6.08717	+	112.271i	0.0231867	+	0.427654i	0.986964	+	0.160944i	$0.0514539\pi$
$41$	6.08717	+	112.271i	0.0231867	+	0.427654i	−0.963777	+	0.266710i	$0.914063\pi$
$42$	−6.24924	−	15.6844i	−0.0229590	−	0.0576228i
$43$	218.599	+	101.134i	0.775255	+	0.358671i	0.767293	−	0.641297i	$-0.221603\pi$
$43$	218.599	+	101.134i	0.775255	+	0.358671i	0.00796238	+	0.999968i	$0.497465\pi$
$44$	169.614	−	37.3350i	0.581144	−	0.127920i
$45$	−70.1800	+	132.373i	−0.232485	+	0.438513i
$46$	2.60441	−	15.8862i	0.00834783	−	0.0509195i
$47$	113.240	−	86.0827i	0.351441	−	0.267159i	−0.414527	−	0.910037i	$-0.636053\pi$
$47$	113.240	−	86.0827i	0.351441	−	0.267159i	0.765968	+	0.642878i	$0.222260\pi$
$48$	−143.425	+	66.3557i	−0.431285	+	0.199534i
$49$	201.255	+	190.639i	0.586751	+	0.555800i
$50$	−17.0778	−	104.170i	−0.0483034	−	0.294638i
$51$	−163.412	−	55.0601i	−0.448673	−	0.151175i
$52$	−1.98737	+	4.98793i	−0.00529999	+	0.0133020i
$53$	28.2512	−	26.7610i	0.0732190	−	0.0693567i	−0.650215	−	0.759750i	$-0.725321\pi$
$53$	28.2512	−	26.7610i	0.0732190	−	0.0693567i	0.723434	+	0.690394i	$0.242563\pi$
$54$	−14.9142	−	11.3375i	−0.0375846	−	0.0285710i
$55$	375.556	+	82.6661i	0.920726	+	0.202667i
$56$	56.5401	−	66.5642i	0.134920	−	0.158840i
$57$	−70.1798	−	7.63251i	−0.163080	−	0.0177360i
$58$	36.6113			0.0828844
$59$	−165.381	−	421.934i	−0.364928	−	0.931036i
$59$	−165.381	−	421.934i	−0.364928	−	0.931036i
$60$	−375.493			−0.807932
$61$	694.049	+	75.4824i	1.45679	+	0.158435i	0.801975	−	0.597358i	$-0.203783\pi$
$61$	694.049	+	75.4824i	1.45679	+	0.158435i	0.654811	+	0.755793i	$0.272748\pi$
$62$	13.1078	−	15.4317i	0.0268499	−	0.0316101i
$63$	−71.2915	−	15.6925i	−0.142570	−	0.0313820i
$64$	−267.715	−	203.511i	−0.522880	−	0.397483i
$65$	−8.63100	+	8.17572i	−0.0164699	+	0.0156011i
$66$	−17.7975	+	44.6685i	−0.0331928	+	0.0833077i
$67$	−349.620	−	117.801i	−0.637506	−	0.214801i	−0.0180563	−	0.999837i	$-0.505748\pi$
$67$	−349.620	−	117.801i	−0.637506	−	0.214801i	−0.619450	+	0.785036i	$0.712644\pi$
$68$	−69.9164	−	426.471i	−0.124685	−	0.760548i
$69$	−50.5316	−	47.8660i	−0.0881635	−	0.0835129i
$70$	85.0297	−	39.3389i	0.145186	−	0.0671701i
$71$	−789.804	+	600.394i	−1.32018	+	1.00357i	−0.321789	+	0.946812i	$0.604284\pi$
$71$	−789.804	+	600.394i	−1.32018	+	1.00357i	−0.998388	+	0.0567605i	$0.981923\pi$
$72$	15.6782	−	95.6328i	0.0256624	−	0.156534i
$73$	209.909	−	395.930i	0.336547	−	0.634795i	−0.656258	−	0.754537i	$-0.727862\pi$
$73$	209.909	−	395.930i	0.336547	−	0.634795i	0.992805	+	0.119741i	$0.0382065\pi$
$74$	−197.181	+	43.4028i	−0.309755	+	0.0681821i
$75$	−414.223	−	191.640i	−0.637738	−	0.295049i
$76$	−65.4851	−	164.355i	−0.0988375	−	0.248063i
$77$	10.1434	+	187.083i	0.0150122	+	0.276885i
$78$	−0.834224	−	1.23039i	−0.00121099	−	0.00178608i
$79$	350.640	+	412.805i	0.499368	+	0.587901i	0.952879	−	0.303349i	$-0.0981049\pi$
$79$	350.640	+	412.805i	0.499368	+	0.587901i	−0.453512	+	0.891250i	$0.649829\pi$
$80$	−410.765	−	774.784i	−0.574061	−	1.08279i
$81$	−76.7599	+	25.8634i	−0.105295	+	0.0354779i
$82$	4.22365	−	77.9006i	0.00568810	−	0.104911i
$83$	−813.894	+	489.704i	−1.07634	+	0.647614i	−0.939351	−	0.342958i	$-0.888571\pi$
$83$	−813.894	+	489.704i	−1.07634	+	0.647614i	−0.136992	+	0.990572i	$0.543744\pi$
$84$	−48.9435	−	176.279i	−0.0635735	−	0.228971i
$85$	255.994	−	922.008i	0.326664	−	1.17654i
$86$	−143.201	−	86.1611i	−0.179555	−	0.108035i
$87$	88.8323	−	131.018i	0.109469	−	0.161455i
$88$	−247.271	+	26.8923i	−0.299536	+	0.0325765i
$89$	−1038.96	+	112.994i	−1.23741	+	0.134577i	−0.703335	−	0.710858i	$-0.748307\pi$
$89$	−1038.96	+	112.994i	−1.23741	+	0.134577i	−0.534078	+	0.845435i	$0.679341\pi$
$90$	58.3403	−	86.0455i	0.0683290	−	0.100778i
$91$	−4.96317	−	2.98624i	−0.00571738	−	0.00344004i
$92$	46.6672	−	168.080i	0.0528847	−	0.190473i
$93$	−23.4199	−	84.3508i	−0.0261132	−	0.0940513i
$94$	−84.5700	+	50.8841i	−0.0927950	+	0.0558329i
$95$	21.2080	−	391.158i	0.0229041	−	0.422442i
$96$	348.809	−	117.528i	0.370836	−	0.124949i
$97$	561.327	+	1058.78i	0.587568	+	1.10827i	0.981917	+	0.189311i	$0.0606253\pi$
$97$	561.327	+	1058.78i	0.587568	+	1.10827i	−0.394349	+	0.918961i	$0.629030\pi$
$98$	−124.523	−	146.600i	−0.128354	−	0.151110i
$99$	116.668	+	172.073i	0.118440	+	0.174687i
$100$	−61.9262	−	1142.16i	−0.0619262	−	1.14216i
$101$	393.114	+	986.642i	0.387290	+	0.972025i	0.985346	+	0.170570i	$0.0545610\pi$
$101$	393.114	+	986.642i	0.387290	+	0.972025i	−0.598055	+	0.801455i	$0.704060\pi$
$102$	108.590	+	50.2392i	0.105412	+	0.0487688i
$103$	242.795	−	53.4433i	0.232265	−	0.0511255i	−0.0973125	−	0.995254i	$-0.531025\pi$
$103$	242.795	−	53.4433i	0.232265	−	0.0511255i	0.329578	+	0.944128i	$0.393094\pi$
$104$	3.60188	−	6.79388i	0.00339609	−	0.00640571i
$105$	65.5341	−	399.740i	0.0609092	−	0.371530i
$106$	−21.4951	+	16.3402i	−0.0196961	+	0.0149726i
$107$	602.818	−	278.893i	0.544641	−	0.251978i	−0.128221	−	0.991746i	$-0.540927\pi$
$107$	602.818	−	278.893i	0.544641	−	0.251978i	0.672862	+	0.739768i	$0.265065\pi$
$108$	−147.378	−	139.604i	−0.131310	−	0.124383i
$109$	19.0858	+	116.418i	0.0167715	+	0.102302i	0.993886	−	0.110414i	$-0.0352176\pi$
$109$	19.0858	+	116.418i	0.0167715	+	0.102302i	−0.977114	+	0.212715i	$0.931769\pi$
$110$	−252.854	−	85.1966i	−0.219170	−	0.0738470i
$111$	−323.111	+	810.948i	−0.276292	+	0.693440i
$112$	310.189	−	293.826i	0.261697	−	0.247893i
$113$	−105.182	−	79.9573i	−0.0875636	−	0.0665641i	0.560477	−	0.828170i	$-0.310618\pi$
$113$	−105.182	−	79.9573i	−0.0875636	−	0.0665641i	−0.648040	+	0.761606i	$0.724411\pi$
$114$	47.8369	+	10.5297i	0.0393012	+	0.00865086i
$115$	250.044	−	294.375i	0.202754	−	0.238701i
$116$	394.388	+	42.8922i	0.315672	+	0.0343314i
$117$	−6.42723			−0.00507861
$118$	82.4252	+	303.454i	0.0643039	+	0.236739i
$119$	466.213			0.359140
$120$	534.611	+	58.1424i	0.406692	+	0.0442304i
$121$	−516.234	+	607.758i	−0.387854	+	0.456618i
$122$	−473.088	−	104.135i	−0.351077	−	0.0772779i
$123$	−268.529	−	204.130i	−0.196849	−	0.149641i
$124$	159.280	−	150.878i	0.115353	−	0.109268i
$125$	167.204	−	419.651i	0.119642	−	0.300278i
$126$	47.9992	+	16.1728i	0.0339374	+	0.0114348i
$127$	18.3706	+	112.056i	0.0128357	+	0.0782941i	0.992468	−	0.122508i	$-0.0390936\pi$
$127$	18.3706	+	112.056i	0.0128357	+	0.0782941i	−0.979632	+	0.200802i	$0.935645\pi$
$128$	881.993	+	835.469i	0.609046	+	0.576919i
$129$	−655.796	+	303.403i	−0.447594	+	0.207079i
$130$	6.56695	−	4.99206i	0.00443046	−	0.00336795i
$131$	5.97398	−	36.4397i	0.00398434	−	0.0243034i	−0.984760	−	0.173921i	$-0.944356\pi$
$131$	5.97398	−	36.4397i	0.00398434	−	0.0243034i	0.988744	+	0.149618i	$0.0478044\pi$
$132$	−244.052	+	460.332i	−0.160924	+	0.303536i
$133$	186.397	−	41.0291i	0.121524	−	0.0267495i
$134$	232.328	+	107.487i	0.149777	+	0.0692942i
$135$	−166.369	−	417.556i	−0.106065	−	0.266204i
$136$	33.5079	+	618.018i	0.0211271	+	0.389666i
$137$	1094.37	+	1614.08i	0.682471	+	1.00657i	0.998330	+	0.0577632i	$0.0183968\pi$
$137$	1094.37	+	1614.08i	0.682471	+	1.00657i	−0.315859	+	0.948806i	$0.602293\pi$
$138$	31.2655	+	36.8085i	0.0192862	+	0.0227054i
$139$	177.556	+	334.906i	0.108346	+	0.204362i	0.931756	−	0.363084i	$-0.118276\pi$
$139$	177.556	+	334.906i	0.108346	+	0.204362i	−0.823410	+	0.567446i	$0.807931\pi$
$140$	962.054	−	324.154i	0.580775	−	0.195686i
$141$	−23.1029	+	426.108i	−0.0137987	+	0.254502i
$142$	589.843	−	354.897i	0.348581	−	0.209734i
$143$	4.41320	+	15.8949i	0.00258077	+	0.00929510i
$144$	126.834	−	456.814i	0.0733991	−	0.264360i
$145$	752.656	+	452.858i	0.431067	+	0.259364i
$146$	−174.496	+	257.362i	−0.0989137	+	0.145887i
$147$	−826.764	+	89.9160i	−0.463880	+	0.0504500i
$148$	−2174.94	+	236.539i	−1.20797	+	0.131375i
$149$	1529.76	−	2256.23i	0.841094	−	1.24052i	−0.127491	−	0.991840i	$-0.540692\pi$
$149$	1529.76	−	2256.23i	0.841094	−	1.24052i	0.968585	−	0.248681i	$-0.0799972\pi$
$150$	271.352	+	163.267i	0.147705	+	0.0888712i
$151$	−766.154	+	2759.44i	−0.412905	+	1.48715i	0.406347	+	0.913719i	$0.366802\pi$
$151$	−766.154	+	2759.44i	−0.412905	+	1.48715i	−0.819253	+	0.573432i	$0.805612\pi$
$152$	67.7856	+	244.142i	0.0361720	+	0.130280i
$153$	443.267	−	266.705i	0.234222	−	0.140927i
$154$	7.03808	−	129.810i	0.00368276	−	0.0679245i
$155$	460.351	−	155.110i	0.238557	−	0.0803792i
$156$	−7.54504	−	14.2315i	−0.00387235	−	0.00730403i
$157$	−1895.09	−	2231.07i	−0.963342	−	1.13413i	−0.990912	−	0.134514i	$-0.957053\pi$
$157$	−1895.09	−	2231.07i	−0.963342	−	1.13413i	0.0275693	−	0.999620i	$-0.491223\pi$
$158$	−210.900	−	311.055i	−0.106192	−	0.156622i
$159$	6.32025	+	116.570i	0.00315238	+	0.0581422i
$160$	756.010	+	1897.44i	0.373549	+	0.937537i
$161$	170.789	+	79.0154i	0.0836029	+	0.0386788i
$162$	54.8887	−	12.0819i	0.0266202	−	0.00585954i
$163$	−1207.33	+	2277.26i	−0.580155	+	1.09429i	0.403628	+	0.914923i	$0.367749\pi$
$163$	−1207.33	+	2277.26i	−0.580155	+	1.09429i	−0.983783	+	0.179365i	$0.942596\pi$
$164$	136.764	−	834.221i	0.0651186	−	0.397206i
$165$	−918.404	+	698.152i	−0.433319	+	0.329401i
$166$	598.156	−	276.736i	0.279674	−	0.129391i
$167$	2466.87	+	2336.74i	1.14307	+	1.08277i	0.995600	+	0.0937030i	$0.0298704\pi$
$167$	2466.87	+	2336.74i	1.14307	+	1.08277i	0.147466	+	0.989067i	$0.452888\pi$
$168$	42.3882	+	258.557i	0.0194662	+	0.118739i
$169$	2081.51	+	701.343i	0.947433	+	0.319227i
$170$	−245.752	+	616.791i	−0.110872	+	0.278269i
$171$	153.752	−	145.641i	0.0687585	−	0.0651315i
$172$	−1441.66	−	1095.92i	−0.639102	−	0.485833i
$173$	18.2044	+	4.00709i	0.00800031	+	0.00176100i	0.218969	−	0.975732i	$-0.429731\pi$
$173$	18.2044	+	4.00709i	0.00800031	+	0.00176100i	−0.210968	+	0.977493i	$0.567662\pi$
$174$	−71.1049	+	83.7111i	−0.0309796	+	0.0364720i
$175$	1226.72	+	133.414i	0.529895	+	0.0576295i
$176$	−1216.82			−0.521142
$177$	1285.94	+	441.322i	0.546086	+	0.187411i
$178$	725.146			0.305348
$179$	3007.44	+	327.078i	1.25579	+	0.136575i	0.711719	−	0.702464i	$-0.247917\pi$
$179$	3007.44	+	327.078i	1.25579	+	0.136575i	0.544071	+	0.839039i	$0.316882\pi$
$180$	729.267	−	858.559i	0.301980	−	0.355518i
$181$	3071.97	+	676.192i	1.26154	+	0.277685i	0.794887	−	0.606758i	$-0.207530\pi$
$181$	3071.97	+	676.192i	1.26154	+	0.277685i	0.466649	+	0.884443i	$0.345461\pi$
$182$	3.19954	+	2.43223i	0.00130311	+	0.000990596i
$183$	−1520.54	+	1440.34i	−0.614218	+	0.581818i
$184$	−92.4688	+	232.079i	−0.0370483	+	0.0929842i
$185$	−4590.53	−	1546.73i	−1.82434	−	0.614691i
$186$	9.82693	+	59.9416i	0.00387390	+	0.0236297i
$187$	−963.942	−	913.094i	−0.376954	−	0.357070i
$188$	−970.628	+	449.060i	−0.376544	+	0.174208i
$189$	174.340	−	132.530i	0.0670972	−	0.0510060i
$190$	−43.9737	+	268.227i	−0.0167904	+	0.102417i
$191$	−902.213	+	1701.75i	−0.341790	+	0.644684i	−0.993506	−	0.113779i	$-0.963704\pi$
$191$	−902.213	+	1701.75i	−0.341790	+	0.644684i	0.651716	+	0.758463i	$0.274049\pi$
$192$	985.271	−	216.875i	0.370343	−	0.0815186i
$193$	−1758.76	−	813.689i	−0.655949	−	0.303475i	0.0635386	−	0.997979i	$-0.479761\pi$
$193$	−1758.76	−	813.689i	−0.655949	−	0.303475i	−0.719488	+	0.694505i	$0.755623\pi$
$194$	−307.771	−	772.447i	−0.113900	−	0.285868i
$195$	−1.93089	−	35.6132i	−0.000709098	−	0.0130785i
$196$	−1169.65	−	1725.10i	−0.426257	−	0.628682i
$197$	177.519	+	208.992i	0.0642015	+	0.0755839i	0.793325	−	0.608798i	$-0.208348\pi$
$197$	177.519	+	208.992i	0.0642015	+	0.0755839i	−0.729124	+	0.684382i	$0.760072\pi$
$198$	−67.5682	−	127.447i	−0.0242518	−	0.0457438i
$199$	1601.88	−	539.736i	0.570624	−	0.192266i	−0.0191743	−	0.999816i	$-0.506104\pi$
$199$	1601.88	−	539.736i	0.570624	−	0.192266i	0.589798	+	0.807551i	$0.299207\pi$
$200$	−88.6878	+	1635.75i	−0.0313559	+	0.578325i
$201$	948.368	−	570.614i	0.332800	−	0.200239i
$202$	−197.150	−	710.070i	−0.0686705	−	0.247329i
$203$	−114.494	+	412.369i	−0.0395856	+	0.142575i
$204$	1110.91	+	668.412i	0.381271	+	0.229403i
$205$	1050.41	−	1549.24i	0.357873	−	0.527823i
$206$	−171.488	+	18.6504i	−0.0580006	+	0.00630795i
$207$	207.585	−	22.5763i	0.0697013	−	0.00758048i
$208$	21.1111	−	31.1366i	0.00703747	−	0.0103795i
$209$	−465.752	−	280.234i	−0.154147	−	0.0927473i
$210$	−75.1933	+	270.822i	−0.0247087	+	0.0889928i
$211$	−446.039	−	1606.49i	−0.145529	−	0.524147i	−0.999989	−	0.00463081i	$-0.998526\pi$
$211$	−446.039	−	1606.49i	−0.145529	−	0.524147i	0.854461	−	0.519516i	$-0.173888\pi$
$212$	−250.695	+	150.838i	−0.0812162	+	0.0488662i
$213$	161.134	−	2971.94i	0.0518343	−	0.956027i
$214$	−436.743	+	147.156i	−0.139510	+	0.0470063i
$215$	−1878.17	−	3542.61i	−0.595769	−	1.12374i
$216$	188.214	+	221.582i	0.0592885	+	0.0697998i
$217$	132.822	+	195.898i	0.0415510	+	0.0612832i
$218$	−4.43162	−	81.7365i	−0.00137682	−	0.0253940i
$219$	497.612	+	1248.91i	0.153541	+	0.385359i
$220$	−2624.01	−	1214.00i	−0.804140	−	0.372035i
$221$	40.0887	−	8.82418i	0.0122021	−	0.00268588i
$222$	283.717	−	535.147i	0.0857741	−	0.161787i
$223$	−602.210	+	3673.32i	−0.180838	+	1.10307i	0.727895	+	0.685688i	$0.240499\pi$
$223$	−602.210	+	3673.32i	−0.180838	+	1.10307i	−0.908734	+	0.417377i	$0.862950\pi$
$224$	−792.230	+	602.237i	−0.236308	+	0.179637i
$225$	1242.67	−	574.920i	0.368198	−	0.170347i
$226$	66.5555	+	63.0447i	0.0195894	+	0.0185561i
$227$	333.090	+	2031.76i	0.0973918	+	0.594063i	0.989758	+	0.142752i	$0.0455953\pi$
$227$	333.090	+	2031.76i	0.0973918	+	0.594063i	−0.892367	+	0.451311i	$0.850956\pi$
$228$	502.978	+	169.473i	0.146099	+	0.0492264i
$229$	814.472	−	2044.17i	0.235030	−	0.589880i	−0.763398	−	0.645928i	$-0.776471\pi$
$229$	814.472	−	2044.17i	0.235030	−	0.589880i	0.998428	+	0.0560479i	$0.0178499\pi$
$230$	−194.563	+	184.300i	−0.0557787	+	0.0528364i
$231$	−447.463	−	340.153i	−0.127450	−	0.0968849i
$232$	−554.871	−	122.136i	−0.157022	−	0.0345631i
$233$	−1329.27	+	1564.94i	−0.373749	+	0.440012i	−0.916593	−	0.399822i	$-0.869072\pi$
$233$	−1329.27	+	1564.94i	−0.373749	+	0.440012i	0.542843	+	0.839834i	$0.317348\pi$
$234$	4.43346	+	0.482168i	0.00123857	+	0.000134702i
$235$	−2368.00			−0.657324
$236$	532.396	+	3365.47i	0.146847	+	0.928276i
$237$	−1624.87			−0.445345
$238$	−321.590	−	34.9751i	−0.0875866	−	0.00952562i
$239$	1385.99	−	1631.71i	0.375114	−	0.441618i	−0.541918	−	0.840431i	$-0.682302\pi$
$239$	1385.99	−	1631.71i	0.375114	−	0.441618i	0.917032	+	0.398813i	$0.130578\pi$
$240$	2569.30	+	565.547i	0.691033	+	0.152108i
$241$	−5437.22	−	4133.27i	−1.45329	−	1.10476i	−0.973852	−	0.227182i	$-0.927049\pi$
$241$	−5437.22	−	4133.27i	−1.45329	−	1.10476i	−0.479434	−	0.877578i	$-0.659158\pi$
$242$	401.689	−	380.500i	0.106701	−	0.101072i
$243$	89.9436	−	225.741i	0.0237444	−	0.0595939i
$244$	−4974.25	−	1676.02i	−1.30510	−	0.439739i
$245$	−746.603	−	4554.08i	−0.194689	−	1.18755i
$246$	169.916	+	160.953i	0.0440383	+	0.0417153i
$247$	15.2513	−	7.05602i	0.00392882	−	0.00181767i
$248$	−250.139	+	190.151i	−0.0640478	+	0.0486878i
$249$	461.010	−	2812.04i	0.117331	−	0.715686i
$250$	−146.818	+	276.929i	−0.0371424	+	0.0700580i
$251$	5937.83	−	1307.02i	1.49320	−	0.328678i	0.608017	−	0.793924i	$-0.291965\pi$
$251$	5937.83	−	1307.02i	1.49320	−	0.328678i	0.885181	+	0.465247i	$0.154034\pi$
$252$	498.115	+	230.452i	0.124517	+	0.0576077i
$253$	−198.369	−	497.869i	−0.0492939	−	0.123718i
$254$	−4.26556	−	78.6736i	−0.00105372	−	0.0194347i
$255$	1610.98	+	2376.01i	0.395621	+	0.583497i
$256$	1195.94	+	1407.97i	0.291977	+	0.343742i
$257$	−2785.39	−	5253.79i	−0.676061	−	1.27519i	−0.949642	−	0.313337i	$-0.898553\pi$
$257$	−2785.39	−	5253.79i	−0.676061	−	1.27519i	0.273582	−	0.961849i	$-0.411792\pi$
$258$	475.125	−	160.088i	0.114651	−	0.0386304i
$259$	127.775	−	2356.67i	0.0306547	−	0.565392i
$260$	76.5897	−	46.0825i	0.0182688	−	0.0109920i
$261$	127.044	+	457.571i	0.0301296	+	0.108517i
$262$	−6.85450	+	24.6877i	−0.00161631	+	0.00582141i
$263$	4342.57	+	2612.84i	1.01815	+	0.612603i	0.923776	−	0.382933i	$-0.125086\pi$
$263$	4342.57	+	2612.84i	1.01815	+	0.612603i	0.0943784	+	0.995536i	$0.469914\pi$
$264$	418.750	−	617.611i	0.0976224	−	0.143982i
$265$	−644.015	+	70.0409i	−0.149289	+	0.0162361i
$266$	−131.654	+	14.3182i	−0.0303466	+	0.00330039i
$267$	1759.47	−	2595.03i	0.403288	−	0.594805i
$268$	2376.79	+	1430.07i	0.541736	+	0.325952i
$269$	546.383	−	1967.89i	0.123842	−	0.446039i	−0.875464	−	0.483283i	$-0.839444\pi$
$269$	546.383	−	1967.89i	0.123842	−	0.446039i	0.999306	+	0.0372440i	$0.0118579\pi$
$270$	83.4357	+	300.508i	0.0188064	+	0.0677346i
$271$	−3010.38	+	1811.28i	−0.674787	+	0.406006i	−0.811298	−	0.584632i	$-0.801239\pi$
$271$	−3010.38	+	1811.28i	−0.674787	+	0.406006i	0.136511	+	0.990639i	$0.456411\pi$
$272$	−163.925	+	3023.43i	−0.0365420	+	0.673978i
$273$	16.4673	−	5.54847i	0.00365071	−	0.00123007i
$274$	−633.803	−	1195.48i	−0.139743	−	0.263582i
$275$	−2275.08	−	2678.43i	−0.498882	−	0.587329i
$276$	293.678	+	433.142i	0.0640483	+	0.0944641i
$277$	−233.380	−	4304.45i	−0.0506226	−	0.933679i	−0.907995	−	0.418982i	$-0.862387\pi$
$277$	−233.380	−	4304.45i	−0.0506226	−	0.933679i	0.857372	−	0.514697i	$-0.172096\pi$
$278$	−97.3524	−	244.336i	−0.0210029	−	0.0527133i
$279$	238.352	+	110.273i	0.0511461	+	0.0236627i
$280$	−1419.92	+	312.549i	−0.303060	+	0.0667085i
$281$	−2443.12	+	4608.21i	−0.518662	+	0.978301i	0.476417	+	0.879220i	$0.341935\pi$
$281$	−2443.12	+	4608.21i	−0.518662	+	0.978301i	−0.995079	+	0.0990816i	$0.968410\pi$
$282$	47.9026	−	292.193i	0.0101155	−	0.0617016i
$283$	−6848.28	+	5205.92i	−1.43847	+	1.09350i	−0.459812	+	0.888016i	$0.652083\pi$
$283$	−6848.28	+	5205.92i	−1.43847	+	1.09350i	−0.978661	+	0.205482i	$0.934124\pi$
$284$	6769.75	−	3132.02i	1.41448	−	0.654406i
$285$	853.189	+	808.183i	0.177328	+	0.167974i
$286$	−1.85177	−	11.2953i	−0.000382858	−	0.00233533i
$287$	864.221	+	291.190i	0.177747	+	0.0598899i
$288$	−408.718	+	1025.81i	−0.0836248	+	0.209882i
$289$	1168.19	−	1106.57i	0.237775	−	0.225232i
$290$	−485.204	−	368.843i	−0.0982488	−	0.0746868i
$291$	−3511.06	−	772.843i	−0.707292	−	0.155687i
$292$	−2181.24	+	2567.96i	−0.437149	+	0.514651i
$293$	−3728.97	−	405.550i	−0.743511	−	0.0808617i	−0.271481	−	0.962444i	$-0.587513\pi$
$293$	−3728.97	−	405.550i	−0.743511	−	0.0808617i	−0.472030	+	0.881582i	$0.656479\pi$
$294$	577.042			0.114469
$295$	−2059.03	+	7257.97i	−0.406378	+	1.43246i
$296$	3133.22			0.615252
$297$	−620.030	−	67.4324i	−0.121137	−	0.0131745i
$298$	−1224.48	+	1441.57i	−0.238028	+	0.280228i
$299$	16.1813	+	3.56178i	0.00312974	+	0.000688907i
$300$	2731.81	+	2076.67i	0.525737	+	0.399655i
$301$	1418.30	−	1343.49i	0.271593	−	0.257266i
$302$	735.500	−	1845.97i	0.140143	−	0.351733i
$303$	−3019.43	−	1017.37i	−0.572482	−	0.192891i
$304$	200.538	+	1223.23i	0.0378343	+	0.230779i
$305$	−8437.69	−	7992.61i	−1.58407	−	1.50051i
$306$	−325.771	+	150.718i	−0.0608597	+	0.0281567i
$307$	−2253.93	+	1713.39i	−0.419017	+	0.318529i	−0.793350	−	0.608766i	$-0.791665\pi$
$307$	−2253.93	+	1713.39i	−0.419017	+	0.318529i	0.374333	+	0.927294i	$0.377872\pi$
$308$	227.896	−	1390.10i	0.0421610	−	0.257171i
$309$	−349.350	+	658.944i	−0.0643166	+	0.121314i
$310$	−329.184	+	72.4588i	−0.0603109	+	0.0132754i
$311$	3862.84	+	1787.14i	0.704314	+	0.325850i	0.739148	−	0.673543i	$-0.235228\pi$
$311$	3862.84	+	1787.14i	0.704314	+	0.325850i	−0.0348343	+	0.999393i	$0.511090\pi$
$312$	8.53867	+	21.4304i	0.00154938	+	0.00388865i
$313$	−276.110	−	5092.54i	−0.0498615	−	0.919641i	−0.911291	−	0.411763i	$-0.864913\pi$
$313$	−276.110	−	5092.54i	−0.0498615	−	0.919641i	0.861429	−	0.507877i	$-0.169570\pi$
$314$	1139.85	+	1681.15i	0.204858	+	0.302142i
$315$	786.723	+	926.202i	0.140720	+	0.165668i
$316$	−1907.47	−	3597.86i	−0.339567	−	0.640492i
$317$	−427.561	+	144.062i	−0.0757547	+	0.0255247i	−0.356924	−	0.934134i	$-0.616174\pi$
$317$	−427.561	+	144.062i	−0.0757547	+	0.0255247i	0.281169	+	0.959658i	$0.409278\pi$
$318$	4.38537	−	80.8835i	0.000773332	−	0.0142633i
$319$	1044.37	−	628.375i	0.183302	−	0.110289i
$320$	1497.70	+	5394.22i	0.261637	+	0.942332i
$321$	−533.083	+	1919.99i	−0.0926909	+	0.333843i
$322$	−111.881	−	67.3168i	−0.0193631	−	0.0116504i
$323$	−759.042	+	1119.50i	−0.130756	+	0.192851i
$324$	605.433	−	65.8448i	0.103812	−	0.0112903i
$325$	108.009	−	11.7466i	0.0184346	−	0.00200488i
$326$	1003.65	−	1480.27i	0.170512	−	0.251486i
$327$	−303.257	−	182.464i	−0.0512848	−	0.0308571i
$328$	−323.891	+	1166.55i	−0.0545241	+	0.196378i
$329$	−308.656	−	1111.68i	−0.0517227	−	0.186288i
$330$	685.884	−	412.683i	0.114414	−	0.0688407i
$331$	332.622	−	6134.85i	0.0552343	−	1.01874i	−0.831227	−	0.555933i	$-0.812361\pi$
$331$	332.622	−	6134.85i	0.0552343	−	1.01874i	0.886461	−	0.462803i	$-0.153156\pi$
$332$	6767.73	−	2280.31i	1.11876	−	0.376953i
$333$	−1226.69	−	2313.78i	−0.201868	−	0.380764i
$334$	−1526.33	−	1796.93i	−0.250051	−	0.294383i
$335$	3446.68	+	5083.47i	0.562126	+	0.829074i
$336$	69.3941	+	1279.90i	0.0112671	+	0.207810i
$337$	3540.41	+	8885.75i	0.572280	+	1.43631i	0.875418	+	0.483367i	$0.160586\pi$
$337$	3540.41	+	8885.75i	0.572280	+	1.43631i	−0.303138	+	0.952947i	$0.598034\pi$
$338$	−1383.20	−	639.936i	−0.222592	−	0.102982i
$339$	387.101	−	85.2074i	0.0620190	−	0.0136514i
$340$	−3369.92	+	6356.34i	−0.537528	+	1.01389i
$341$	109.050	−	665.177i	0.0173179	−	0.105634i
$342$	−116.983	+	88.9282i	−0.0184962	+	0.0140605i
$343$	4565.55	−	2112.25i	0.718707	−	0.332509i
$344$	1882.88	+	1783.56i	0.295110	+	0.279543i
$345$	187.458	+	1143.45i	0.0292534	+	0.178438i
$346$	−12.2567	−	4.12975i	−0.00190440	−	0.000641666i
$347$	−1730.90	+	4344.22i	−0.267779	+	0.672075i	−0.999959	−	0.00903638i	$-0.997124\pi$
$347$	−1730.90	+	4344.22i	−0.267779	+	0.672075i	0.732180	+	0.681111i	$0.238503\pi$
$348$	−864.036	+	818.458i	−0.133095	+	0.126075i
$349$	−373.675	−	284.060i	−0.0573133	−	0.0435685i	0.576125	−	0.817361i	$-0.304564\pi$
$349$	−373.675	−	284.060i	−0.0573133	−	0.0435685i	−0.633439	+	0.773793i	$0.718357\pi$
$350$	−836.177	−	184.057i	−0.127702	−	0.0281092i
$351$	12.4827	−	14.6958i	0.00189823	−	0.00223476i
$352$	2817.52	+	306.424i	0.426631	+	0.0463990i
$353$	5955.55			0.897966			0.448983	−	0.893540i	$-0.351786\pi$
$353$	5955.55			0.897966			0.448983	+	0.893540i	$0.351786\pi$
$354$	−853.926	−	400.892i	−0.128208	−	0.0601897i
$355$	16515.9			2.46922
$356$	7811.50	+	849.552i	1.16295	+	0.126478i
$357$	−905.459	+	1065.99i	−0.134235	+	0.158034i
$358$	−2049.97	−	451.233i	−0.302638	−	0.0666157i
$359$	−1241.82	−	944.009i	−0.182565	−	0.138782i	0.509900	−	0.860234i	$-0.329682\pi$
$359$	−1241.82	−	944.009i	−0.182565	−	0.138782i	−0.692465	+	0.721451i	$0.743475\pi$
$360$	−1171.24	+	1109.46i	−0.171472	+	0.162427i
$361$	2333.83	−	5857.46i	0.340257	−	0.853982i
$362$	−2068.30	−	696.891i	−0.300297	−	0.101182i
$363$	−387.021	−	2360.73i	−0.0559596	−	0.341339i
$364$	31.6169	+	29.9491i	0.00455268	+	0.00431253i
$365$	−6770.71	+	3132.47i	−0.970946	+	0.449207i
$366$	1156.91	−	879.464i	0.165226	−	0.125602i
$367$	26.4946	−	161.610i	0.00376841	−	0.0229863i	−0.984875	−	0.173264i	$-0.944569\pi$
$367$	26.4946	−	161.610i	0.00376841	−	0.0229863i	0.988644	+	0.150278i	$0.0480168\pi$
$368$	−572.472	+	1079.80i	−0.0810929	+	0.152957i
$369$	988.267	−	217.534i	0.139423	−	0.0306893i
$370$	3050.48	+	1411.30i	0.428613	+	0.198298i
$371$	−116.825	−	293.210i	−0.0163484	−	0.0410315i
$372$	35.6336	+	657.222i	0.00496644	+	0.0916005i
$373$	7131.44	+	10518.1i	0.989952	+	1.46007i	0.884999	+	0.465592i	$0.154159\pi$
$373$	7131.44	+	10518.1i	0.989952	+	1.46007i	0.104952	+	0.994477i	$0.466531\pi$
$374$	596.421	+	702.161i	0.0824604	+	0.0970799i
$375$	634.789	+	1197.34i	0.0874142	+	0.164881i
$376$	1451.47	−	489.058i	0.199080	−	0.0670777i
$377$	−2.04001	+	37.6258i	−0.000278690	+	0.00514013i
$378$	−130.201	+	78.3393i	−0.0177164	+	0.0106596i
$379$	292.098	+	1052.04i	0.0395886	+	0.142585i	0.980703	−	0.195502i	$-0.0626337\pi$
$379$	292.098	+	1052.04i	0.0395886	+	0.142585i	−0.941115	+	0.338088i	$0.890220\pi$
$380$	−787.942	+	2837.91i	−0.106370	+	0.383110i
$381$	−291.893	−	175.626i	−0.0392497	−	0.0236158i
$382$	750.005	−	1106.18i	0.100454	−	0.148159i
$383$	843.539	−	91.7404i	0.112540	−	0.0122395i	−0.0516757	−	0.998664i	$-0.516456\pi$
$383$	843.539	−	91.7404i	0.112540	−	0.0122395i	0.164216	+	0.986424i	$0.447491\pi$
$384$	−3623.26	+	394.053i	−0.481507	+	0.0523670i
$385$	1750.35	−	2581.58i	0.231705	−	0.341739i
$386$	1152.14	+	693.218i	0.151923	+	0.0914090i
$387$	579.932	−	2088.73i	0.0761746	−	0.274356i
$388$	−2410.44	−	8681.60i	−0.315390	−	1.13593i
$389$	−4195.74	+	2524.49i	−0.546870	+	0.329041i	−0.762034	−	0.647537i	$-0.775799\pi$
$389$	−4195.74	+	2524.49i	−0.546870	+	0.329041i	0.215164	+	0.976578i	$0.430971\pi$
$390$	−1.33977	+	24.7106i	−0.000173954	+	0.00320839i
$391$	−1263.78	+	425.817i	−0.163458	+	0.0550754i
$392$	1398.18	+	2637.24i	0.180150	+	0.339798i
$393$	71.7163	+	84.4310i	0.00920512	+	0.0108371i
$394$	−106.773	−	157.478i	−0.0136527	−	0.0201362i
$395$	−488.150	−	9003.39i	−0.0621809	−	1.14686i
$396$	−578.553	−	1452.06i	−0.0734177	−	0.184264i
$397$	−4911.89	−	2272.48i	−0.620960	−	0.287286i	0.0840750	−	0.996459i	$-0.473206\pi$
$397$	−4911.89	−	2272.48i	−0.620960	−	0.287286i	−0.705035	+	0.709173i	$0.749069\pi$
$398$	−1145.46	+	252.134i	−0.144263	+	0.0317546i
$399$	−268.200	+	505.880i	−0.0336512	+	0.0634728i
$400$	−1296.53	+	7908.49i	−0.162066	+	0.988561i
$401$	−7947.20	+	6041.31i	−0.989687	+	0.752340i	−0.968902	−	0.247444i	$-0.920409\pi$
$401$	−7947.20	+	6041.31i	−0.989687	+	0.752340i	−0.0207845	+	0.999784i	$0.506616\pi$
$402$	−696.985	+	322.460i	−0.0864738	+	0.0400070i
$403$	15.1290	+	14.3309i	0.00187004	+	0.00177140i
$404$	−1291.87	−	7880.07i	−0.159092	−	0.970416i
$405$	1277.85	+	430.558i	0.156783	+	0.0528262i
$406$	109.913	−	275.860i	0.0134357	−	0.0337210i
$407$	−4879.82	+	4622.41i	−0.594309	+	0.562959i
$408$	−1478.17	−	1123.67i	−0.179363	−	0.136348i
$409$	5576.47	+	1227.47i	0.674178	+	0.148398i	0.538848	−	0.842403i	$-0.318860\pi$
$409$	5576.47	+	1227.47i	0.674178	+	0.148398i	0.135329	+	0.990801i	$0.456791\pi$
$410$	−840.791	+	989.855i	−0.101277	+	0.119233i
$411$	−5816.01	−	632.529i	−0.698011	−	0.0759133i
$412$	−1869.17			−0.223513
$413$	−3675.71	−	20.5938i	−0.437941	−	0.00245365i
$414$	−144.885			−0.0171997
$415$	15720.0	+	1709.65i	1.85943	+	0.202225i
$416$	−56.7234	+	66.7800i	−0.00668532	+	0.00787057i
$417$	−1110.60	−	244.461i	−0.130423	−	0.0287082i
$418$	300.250	+	228.244i	0.0351332	+	0.0267076i
$419$	2158.77	−	2044.89i	0.251701	−	0.238424i	−0.551438	−	0.834216i	$-0.685920\pi$
$419$	2158.77	−	2044.89i	0.251701	−	0.238424i	0.803139	+	0.595792i	$0.203162\pi$
$420$	−1127.29	+	2829.28i	−0.130967	+	0.328702i
$421$	−535.750	−	180.515i	−0.0620211	−	0.0208973i	0.288120	−	0.957594i	$-0.406970\pi$
$421$	−535.750	−	180.515i	−0.0620211	−	0.0208973i	−0.350141	+	0.936697i	$0.613866\pi$
$422$	187.157	+	1141.60i	0.0215892	+	0.131688i
$423$	−929.420	−	880.393i	−0.106832	−	0.101197i
$424$	380.286	−	175.939i	0.0435573	−	0.0201518i
$425$	−6961.59	+	5292.07i	−0.794557	+	0.604007i
$426$	−334.102	+	2037.93i	−0.0379984	+	0.231780i
$427$	2652.39	−	5002.95i	0.300605	−	0.567001i
$428$	−4877.13	+	1073.54i	−0.550806	+	0.121241i
$429$	−44.9146	−	20.7797i	−0.00505478	−	0.00233859i
$430$	1029.79	+	2584.57i	0.115490	+	0.289858i
$431$	832.498	+	15354.5i	0.0930395	+	1.71601i	0.557298	+	0.830312i	$0.311838\pi$
$431$	832.498	+	15354.5i	0.0930395	+	1.71601i	−0.464259	+	0.885699i	$0.653679\pi$
$432$	798.167	+	1177.21i	0.0888931	+	0.131108i
$433$	4740.14	+	5580.53i	0.526089	+	0.619360i	0.959456	−	0.281857i	$-0.0909505\pi$
$433$	4740.14	+	5580.53i	0.526089	+	0.619360i	−0.433367	+	0.901218i	$0.642675\pi$
$434$	−76.9238	−	145.094i	−0.00850797	−	0.0160477i
$435$	−2497.23	+	841.415i	−0.275249	+	0.0927420i
$436$	48.0203	−	885.683i	0.00527467	−	0.0972856i
$437$	−467.800	+	281.466i	−0.0512080	+	0.0308108i
$438$	−249.557	−	898.822i	−0.0272244	−	0.0980533i
$439$	2696.50	−	9711.92i	0.293159	−	1.05586i	−0.659470	−	0.751731i	$-0.729219\pi$
$439$	2696.50	−	9711.92i	0.293159	−	1.05586i	0.952629	−	0.304134i	$-0.0983670\pi$
$440$	3547.98	+	2134.75i	0.384416	+	0.231296i
$441$	1400.12	−	2065.02i	0.151184	−	0.222980i
$442$	−28.3149	+	3.07943i	−0.00304706	+	0.000331388i
$443$	−3676.44	+	399.837i	−0.394295	+	0.0428822i	−0.303119	−	0.952953i	$-0.598028\pi$
$443$	−3676.44	+	399.837i	−0.394295	+	0.0428822i	−0.0911759	+	0.995835i	$0.529063\pi$
$444$	3683.24	−	5432.38i	0.393691	−	0.580651i
$445$	14907.6	+	8969.61i	1.58806	+	0.955506i
$446$	690.971	−	2488.65i	0.0733597	−	0.264218i
$447$	2187.80	+	7879.74i	0.231497	+	0.833778i
$448$	−2337.15	+	1406.22i	−0.246473	+	0.148298i
$449$	521.923	−	9626.31i	0.0548577	−	1.01179i	−0.833466	−	0.552571i	$-0.813647\pi$
$449$	521.923	−	9626.31i	0.0548577	−	1.01179i	0.888323	−	0.459219i	$-0.151871\pi$
$450$	−900.316	+	303.352i	−0.0943140	+	0.0317781i
$451$	−1216.56	−	2294.67i	−0.127019	−	0.239583i
$452$	643.096	+	757.111i	0.0669218	+	0.0787865i
$453$	−4821.42	−	7111.07i	−0.500067	−	0.737543i
$454$	−77.3415	−	1426.48i	−0.00799519	−	0.147463i
$455$	35.6912	+	89.5781i	0.00367742	+	0.00922964i
$456$	−689.877	−	319.171i	−0.0708475	−	0.0327775i
$457$	−3979.41	+	875.935i	−0.407328	+	0.0896597i	−0.413908	−	0.910319i	$-0.635837\pi$
$457$	−3979.41	+	875.935i	−0.407328	+	0.0896597i	0.00657994	+	0.999978i	$0.497906\pi$
$458$	−715.170	+	1348.95i	−0.0729644	+	0.137625i
$459$	−251.078	+	1531.51i	−0.0255323	+	0.155740i
$460$	−2311.81	+	1757.39i	−0.234323	+	0.178128i
$461$	11641.9	−	5386.13i	1.17618	−	0.544158i	0.268277	−	0.963342i	$-0.413546\pi$
$461$	11641.9	−	5386.13i	1.17618	−	0.544158i	0.907901	+	0.419184i	$0.137684\pi$
$462$	283.139	+	268.204i	0.0285126	+	0.0270086i
$463$	1555.53	+	9488.33i	0.156138	+	0.952397i	0.942396	+	0.334499i	$0.108567\pi$
$463$	1555.53	+	9488.33i	0.156138	+	0.952397i	−0.786258	+	0.617898i	$0.787984\pi$
$464$	−2633.99	−	887.494i	−0.263534	−	0.0887950i
$465$	−539.418	+	1353.84i	−0.0537955	+	0.135016i
$466$	1034.32	−	979.765i	0.102820	−	0.0973964i
$467$	−8453.24	−	6425.98i	−0.837621	−	0.636743i	0.0958498	−	0.995396i	$-0.469443\pi$
$467$	−8453.24	−	6425.98i	−0.837621	−	0.636743i	−0.933471	+	0.358653i	$0.883236\pi$
$468$	47.1937	+	10.3881i	0.00466139	+	0.00102605i
$469$	−1937.23	+	2280.68i	−0.190731	+	0.224546i
$470$	1633.43	+	177.646i	0.160307	+	0.0174345i
$471$	8781.89			0.859125
$472$	−236.883	−	4874.04i	−0.0231005	−	0.475309i
$473$	−5563.74			−0.540848
$474$	1120.82	+	121.897i	0.108610	+	0.0118121i
$475$	−2317.60	+	2728.49i	−0.223871	+	0.263561i
$476$	−3423.30	−	753.524i	−0.329636	−	0.0725583i
$477$	−278.811	−	211.947i	−0.0267628	−	0.0203446i
$478$	−1078.46	+	1021.57i	−0.103196	+	0.0977520i
$479$	−3005.67	+	7543.67i	−0.286707	+	0.719581i	0.713121	+	0.701041i	$0.247281\pi$
$479$	−3005.67	+	7543.67i	−0.286707	+	0.719581i	−0.999828	+	0.0185398i	$0.994098\pi$
$480$	−5806.77	−	1956.53i	−0.552170	−	0.186048i
$481$	−33.6185	−	205.064i	−0.00318685	−	0.0194389i
$482$	3440.48	+	3259.00i	0.325124	+	0.307974i
$483$	−512.367	+	237.046i	−0.0482681	+	0.0223312i
$484$	4772.89	−	3628.26i	0.448243	−	0.340746i
$485$	3227.51	−	19686.9i	0.302172	−	1.84317i
$486$	−78.9775	+	148.967i	−0.00737138	+	0.0139039i
$487$	3679.64	−	809.950i	0.342383	−	0.0753641i	−0.0404508	−	0.999182i	$-0.512879\pi$
$487$	3679.64	−	809.950i	0.342383	−	0.0753641i	0.382833	+	0.923817i	$0.374948\pi$
$488$	6822.61	+	3156.47i	0.632879	+	0.292801i
$489$	−2862.11	−	7183.35i	−0.264681	−	0.664299i
$490$	173.357	+	3197.38i	0.0159826	+	0.294782i
$491$	−3794.69	−	5596.75i	−0.348782	−	0.514416i	0.612319	−	0.790611i	$-0.290237\pi$
$491$	−3794.69	−	5596.75i	−0.348782	−	0.514416i	−0.961102	+	0.276195i	$0.910926\pi$
$492$	1641.82	+	1932.90i	0.150445	+	0.177117i
$493$	−1420.63	−	2679.59i	−0.129781	−	0.244793i
$494$	−11.0496	+	3.72305i	−0.00100637	+	0.000339085i
$495$	187.370	−	3455.84i	0.0170135	−	0.313795i
$496$	−1317.12	+	792.484i	−0.119235	+	0.0717411i
$497$	2152.76	+	7753.53i	0.194295	+	0.699786i
$498$	−528.960	+	1905.14i	−0.0475969	+	0.171429i
$499$	−8469.45	−	5095.90i	−0.759809	−	0.457162i	0.0822065	−	0.996615i	$-0.473803\pi$
$499$	−8469.45	−	5095.90i	−0.759809	−	0.457162i	−0.842015	+	0.539453i	$0.818631\pi$
$500$	−1906.01	+	2811.16i	−0.170479	+	0.251437i
$501$	−10134.0	+	1102.14i	−0.903699	+	0.0982831i
$502$	−4193.93	+	456.117i	−0.372877	+	0.0405528i
$503$	2877.89	−	4244.57i	0.255107	−	0.376255i	−0.678472	−	0.734626i	$-0.737358\pi$
$503$	2877.89	−	4244.57i	0.255107	−	0.376255i	0.933579	+	0.358372i	$0.116668\pi$
$504$	−673.511	−	405.238i	−0.0595249	−	0.0358149i
$505$	4730.10	−	17036.3i	0.416806	−	1.50120i
$506$	99.4838	+	358.308i	0.00874030	+	0.0314797i
$507$	−5646.23	+	3397.23i	−0.494592	+	0.297586i
$508$	46.2209	−	852.493i	0.00403685	−	0.0744553i
$509$	21306.1	−	7178.86i	1.85536	−	0.625142i	0.862464	−	0.506118i	$-0.168920\pi$
$509$	21306.1	−	7178.86i	1.85536	−	0.625142i	0.992891	−	0.119024i	$-0.0379764\pi$
$510$	−932.994	−	1759.81i	−0.0810072	−	0.152796i
$511$	−2353.09	−	2770.27i	−0.203708	−	0.239823i
$512$	−6173.50	−	9105.23i	−0.532876	−	0.785934i
$513$	34.3967	+	634.410i	0.00296034	+	0.0546002i
$514$	1527.20	+	3832.99i	0.131055	+	0.328922i
$515$	−3756.15	−	1737.78i	−0.321390	−	0.148691i
$516$	5305.74	−	1167.88i	0.452659	−	0.0996379i
$517$	−1539.09	+	2903.02i	−0.130926	+	0.246953i
$518$	−264.935	+	1616.03i	−0.0224722	+	0.137074i
$519$	−44.5179	+	33.8417i	−0.00376517	+	0.00286220i
$520$	−116.181	+	53.7509i	−0.00979781	+	0.00453295i
$521$	−14586.0	−	13816.5i	−1.22653	−	1.16183i	−0.981324	−	0.192360i	$-0.938386\pi$
$521$	−14586.0	−	13816.5i	−1.22653	−	1.16183i	−0.245205	−	0.969471i	$-0.578855\pi$
$522$	−53.3074	−	325.161i	−0.00446973	−	0.0272642i
$523$	295.949	+	99.7168i	0.0247437	+	0.00833712i	0.331646	−	0.943404i	$-0.392396\pi$
$523$	295.949	+	99.7168i	0.0247437	+	0.00833712i	−0.306902	+	0.951741i	$0.599293\pi$
$524$	−102.762	+	257.913i	−0.00856712	+	0.0215018i
$525$	−2687.54	+	2545.78i	−0.223417	+	0.211632i
$526$	−2799.47	−	2128.10i	−0.232058	−	0.176406i
$527$	−1638.08	−	360.568i	−0.135400	−	0.0298038i
$528$	2363.25	−	2782.23i	0.194786	−	0.229320i
$529$	11560.5	+	1257.28i	0.950156	+	0.103336i
$530$	449.492			0.0368390
$531$	−3506.58	+	2083.17i	−0.286577	+	0.170248i
$532$	−1434.99			−0.116945
$533$	79.8241	+	8.68139i	0.00648699	+	0.000705502i
$534$	−1408.35	+	1658.04i	−0.114130	+	0.134364i
$535$	−10798.8	−	2377.00i	−0.872660	−	0.192087i
$536$	−3162.53	−	2404.09i	−0.254852	−	0.193733i
$537$	−6588.78	+	6241.22i	−0.529473	+	0.501543i
$538$	−524.522	+	1316.45i	−0.0420330	+	0.105495i
$539$	−6068.28	−	2044.64i	−0.484934	−	0.163393i
$540$	546.732	+	3334.92i	0.0435696	+	0.265763i
$541$	−8572.23	−	8120.05i	−0.681237	−	0.645302i	0.266693	−	0.963782i	$-0.414069\pi$
$541$	−8572.23	−	8120.05i	−0.681237	−	0.645302i	−0.947930	+	0.318480i	$0.896828\pi$
$542$	2212.42	−	1023.57i	0.175335	−	0.0811186i
$543$	−7512.36	+	5710.75i	−0.593713	+	0.451329i
$544$	1140.94	−	6959.42i	0.0899216	−	0.548497i
$545$	919.924	−	1735.16i	0.0723031	−	0.136378i
$546$	−11.7753	+	2.59193i	−0.000922957	+	0.000203158i
$547$	−19959.6	−	9234.29i	−1.56016	−	0.721809i	−0.565478	−	0.824763i	$-0.691308\pi$
$547$	−19959.6	−	9234.29i	−1.56016	−	0.721809i	−0.994686	+	0.102954i	$0.967171\pi$
$548$	−5426.95	−	13620.6i	−0.423043	−	1.06176i
$549$	−340.170	−	6274.06i	−0.0264446	−	0.487742i
$550$	1368.40	+	2018.24i	0.106089	+	0.156469i
$551$	−803.803	−	946.310i	−0.0621473	−	0.0731654i
$552$	−351.057	−	662.163i	−0.0270688	−	0.0510571i
$553$	4163.10	−	1402.71i	0.320132	−	0.107865i
$554$	−161.933	+	2986.69i	−0.0124186	+	0.229047i
$555$	12452.1	−	7492.18i	0.952365	−	0.573019i
$556$	−762.456	−	2746.12i	−0.0581571	−	0.209463i
$557$	361.590	−	1302.33i	0.0275064	−	0.0990691i	−0.948523	−	0.316709i	$-0.897422\pi$
$557$	361.590	−	1302.33i	0.0275064	−	0.0990691i	0.976029	+	0.217640i	$0.0698359\pi$
$558$	−156.141	−	93.9470i	−0.0118458	−	0.00712741i
$559$	96.5281	−	142.368i	0.00730358	−	0.0107720i
$560$	−7071.06	+	769.024i	−0.533584	+	0.0580307i
$561$	3959.91	−	430.666i	0.298017	−	0.0324113i
$562$	2030.95	−	2995.43i	0.152439	−	0.224830i
$563$	13415.2	+	8071.64i	1.00423	+	0.604225i	0.919876	−	0.392210i	$-0.128289\pi$
$563$	13415.2	+	8071.64i	1.00423	+	0.604225i	0.0843549	+	0.996436i	$0.473117\pi$
$564$	858.343	−	3091.47i	0.0640829	−	0.230806i
$565$	588.428	+	2119.33i	0.0438148	+	0.157807i
$566$	5114.44	−	3077.26i	0.379816	−	0.228528i
$567$	−35.5684	+	656.020i	−0.00263445	+	0.0485895i
$568$	−10123.5	+	3410.99i	−0.747836	+	0.251975i
$569$	−6711.13	−	12658.5i	−0.494455	−	0.932642i	−0.997653	−	0.0684706i	$-0.978188\pi$
$569$	−6711.13	−	12658.5i	−0.494455	−	0.932642i	0.503198	−	0.864171i	$-0.332157\pi$
$570$	−527.894	−	621.485i	−0.0387913	−	0.0456687i
$571$	2744.92	+	4048.45i	0.201176	+	0.296712i	0.914873	−	0.403743i	$-0.132291\pi$
$571$	2744.92	+	4048.45i	0.201176	+	0.296712i	−0.713697	+	0.700455i	$0.752981\pi$
$572$	−6.71472	−	123.846i	−0.000490833	−	0.00905288i
$573$	−2138.80	−	5367.97i	−0.155933	−	0.391362i
$574$	−574.289	−	265.695i	−0.0417602	−	0.0193203i
$575$	−3447.18	+	758.781i	−0.250013	+	0.0550320i
$576$	−1417.67	+	2674.01i	−0.102552	+	0.193433i
$577$	−2876.32	+	17544.8i	−0.207526	+	1.26585i	0.653357	+	0.757050i	$0.273360\pi$
$577$	−2876.32	+	17544.8i	−0.207526	+	1.26585i	−0.860883	+	0.508803i	$0.830088\pi$
$578$	−888.823	+	675.666i	−0.0639622	+	0.0486228i
$579$	5276.28	−	2441.07i	0.378713	−	0.175211i
$580$	−4794.65	−	4541.73i	−0.343253	−	0.325147i
$581$	1246.41	+	7602.73i	0.0890010	+	0.542882i
$582$	2363.93	+	796.500i	0.168364	+	0.0567285i
$583$	−332.713	+	835.047i	−0.0236356	+	0.0593210i
$584$	3503.19	−	3318.39i	0.248224	−	0.235130i
$585$	85.1792	+	64.7516i	0.00602005	+	0.00457632i
$586$	2541.79	+	559.491i	0.179182	+	0.0394409i
$587$	−8770.98	+	10326.0i	−0.616724	+	0.726064i	−0.978510	−	0.206197i	$-0.933891\pi$
$587$	−8770.98	+	10326.0i	−0.616724	+	0.726064i	0.361786	+	0.932261i	$0.382167\pi$
$588$	6216.07	+	676.039i	0.435964	+	0.0474139i
$589$	−686.654			−0.0480358
$590$	1964.80	−	4852.04i	0.137101	−	0.338568i
$591$	−822.626			−0.0572560
$592$	15238.3	+	1657.26i	1.05792	+	0.115056i
$593$	−14092.1	+	16590.5i	−0.975874	+	1.14889i	0.0129675	+	0.999916i	$0.495872\pi$
$593$	−14092.1	+	16590.5i	−0.975874	+	1.14889i	−0.988841	+	0.148972i	$0.952404\pi$
$594$	422.634	+	93.0288i	0.0291934	+	0.00642596i
$595$	−6178.66	−	4696.89i	−0.425715	−	0.323620i
$596$	−14879.4	+	14094.5i	−1.02262	+	0.968680i
$597$	−1877.01	+	4710.93i	−0.128678	+	0.322957i
$598$	−10.8946	−	3.67081i	−0.000745005	−	0.000251021i
$599$	867.138	+	5289.31i	0.0591491	+	0.360794i	0.999772	+	0.0213409i	$0.00679355\pi$
$599$	867.138	+	5289.31i	0.0591491	+	0.360794i	−0.940623	+	0.339453i	$0.889758\pi$
$600$	−3567.87	−	3379.67i	−0.242763	−	0.229957i
$601$	5177.22	−	2395.24i	0.351387	−	0.162569i	−0.236253	−	0.971692i	$-0.575919\pi$
$601$	5177.22	−	2395.24i	0.351387	−	0.162569i	0.587640	+	0.809123i	$0.300057\pi$
$602$	−1079.12	+	820.327i	−0.0730593	+	0.0555383i
$603$	−537.180	+	3276.65i	−0.0362781	+	0.221286i
$604$	10085.7	−	19023.6i	0.679438	−	1.28156i
$605$	12964.5	−	2853.70i	0.871209	−	0.191768i
$606$	2006.46	+	928.289i	0.134500	+	0.0622263i
$607$	3320.32	+	8333.37i	0.222022	+	0.557234i	0.997222	−	0.0744820i	$-0.0237303\pi$
$607$	3320.32	+	8333.37i	0.222022	+	0.557234i	−0.775200	+	0.631716i	$0.782351\pi$
$608$	−156.304	−	2882.86i	−0.0104259	−	0.192295i
$609$	−720.511	−	1062.67i	−0.0479419	−	0.0707089i
$610$	5220.66	+	6146.24i	0.346522	+	0.407957i
$611$	−47.5819	−	89.7489i	−0.00315050	−	0.00594248i
$612$	−3685.88	+	1241.92i	−0.243452	+	0.0820286i
$613$	−1079.76	+	19914.9i	−0.0711434	+	1.31216i	0.717174	+	0.696894i	$0.245435\pi$
$613$	−1079.76	+	19914.9i	−0.0711434	+	1.31216i	−0.788317	+	0.615269i	$0.789047\pi$
$614$	1683.28	−	1012.80i	0.110638	−	0.0665686i
$615$	1502.25	+	5410.63i	0.0984987	+	0.354760i
$616$	−539.717	+	1943.88i	−0.0353016	+	0.127145i
$617$	6126.53	+	3686.21i	0.399748	+	0.240521i	0.701206	−	0.712959i	$-0.252646\pi$
$617$	6126.53	+	3686.21i	0.399748	+	0.240521i	−0.301457	+	0.953480i	$0.597473\pi$
$618$	290.413	−	428.327i	0.0189031	−	0.0278800i
$619$	29513.1	−	3209.75i	1.91637	−	0.208418i	0.929372	−	0.369145i	$-0.120350\pi$
$619$	29513.1	−	3209.75i	1.91637	−	0.208418i	0.986999	+	0.160728i	$0.0513840\pi$
$620$	−3630.96	+	394.890i	−0.235198	+	0.0255793i
$621$	−351.543	+	518.488i	−0.0227165	+	0.0335043i
$622$	−2530.49	−	1522.55i	−0.163125	−	0.0981488i
$623$	−2267.74	+	8167.65i	−0.145835	+	0.525249i
$624$	30.1922	+	108.742i	0.00193695	+	0.00697625i
$625$	9851.06	−	5927.19i	0.630468	−	0.379340i
$626$	−191.582	+	3533.52i	−0.0122319	+	0.225603i
$627$	1545.32	−	520.677i	0.0984274	−	0.0331640i
$628$	10309.2	+	19445.3i	0.655068	+	1.23559i
$629$	10827.9	+	12747.6i	0.686387	+	0.808077i
$630$	−473.193	−	697.907i	−0.0299245	−	0.0441354i
$631$	1417.34	+	26141.4i	0.0894193	+	1.64924i	0.607798	+	0.794091i	$0.292053\pi$
$631$	1417.34	+	26141.4i	0.0894193	+	1.64924i	−0.518379	+	0.855151i	$0.673464\pi$
$632$	2158.66	+	5417.84i	0.135866	+	0.340997i
$633$	4539.48	+	2100.19i	0.285037	+	0.131872i
$634$	305.737	−	67.2977i	0.0191520	−	0.00421567i
$635$	885.451	−	1670.14i	0.0553355	−	0.104374i
$636$	142.000	−	866.164i	0.00885327	−	0.0540026i
$637$	157.601	−	119.805i	0.00980279	−	0.00745189i
$638$	−767.538	+	355.101i	−0.0476287	+	0.0220354i
$639$	6482.34	+	6140.40i	0.401311	+	0.380142i
$640$	−3271.96	−	19958.1i	−0.202087	−	1.23267i
$641$	21603.6	+	7279.11i	1.33119	+	0.448530i	0.892880	−	0.450294i	$-0.148681\pi$
$641$	21603.6	+	7279.11i	1.33119	+	0.448530i	0.438309	+	0.898824i	$0.355578\pi$
$642$	511.754	−	1284.41i	0.0314600	−	0.0789586i
$643$	−11032.7	+	10450.7i	−0.676650	+	0.640957i	−0.946785	−	0.321865i	$-0.895690\pi$
$643$	−11032.7	+	10450.7i	−0.676650	+	0.640957i	0.270135	+	0.962822i	$0.412932\pi$
$644$	−1126.36	−	856.233i	−0.0689202	−	0.0523918i
$645$	11747.8	+	2585.89i	0.717163	+	0.157860i
$646$	607.567	−	715.283i	0.0370037	−	0.0435642i
$647$	15427.1	+	1677.80i	0.937409	+	0.101949i	0.564053	−	0.825739i	$-0.309241\pi$
$647$	15427.1	+	1677.80i	0.937409	+	0.101949i	0.373356	+	0.927688i	$0.378207\pi$
$648$	−872.185			−0.0528745
$649$	7559.56	+	7241.58i	0.457225	+	0.437992i
$650$	−75.3849			−0.00454898
$651$	−705.881	−	76.7692i	−0.0424972	−	0.00462185i
$652$	12545.8	−	14770.1i	0.753577	−	0.887179i
$653$	−3520.30	−	774.876i	−0.210965	−	0.0464368i	0.108231	−	0.994126i	$-0.465482\pi$
$653$	−3520.30	−	774.876i	−0.210965	−	0.0464368i	−0.319195	+	0.947689i	$0.603413\pi$
$654$	195.496	+	148.612i	0.0116889	+	0.00888564i
$655$	−446.286	+	422.745i	−0.0266227	+	0.0252183i
$656$	−2192.26	+	5502.16i	−0.130478	+	0.327474i
$657$	−3822.06	−	1287.80i	−0.226960	−	0.0764718i
$658$	129.511	+	789.984i	0.00767306	+	0.0468036i
$659$	8112.81	+	7684.86i	0.479560	+	0.454264i	0.888888	−	0.458124i	$-0.151478\pi$
$659$	8112.81	+	7684.86i	0.479560	+	0.454264i	−0.409328	+	0.912387i	$0.634237\pi$
$660$	7872.04	−	3641.99i	0.464271	−	0.214794i
$661$	3890.20	−	2957.26i	0.228913	−	0.174015i	−0.484430	−	0.874830i	$-0.660973\pi$
$661$	3890.20	−	2957.26i	0.228913	−	0.174015i	0.713343	+	0.700815i	$0.247180\pi$
$662$	−689.674	+	4206.82i	−0.0404908	+	0.246983i
$663$	−57.6822	+	108.800i	−0.00337887	+	0.00637322i
$664$	−9988.70	+	2198.68i	−0.583790	+	0.128502i
$665$	−2883.65	−	1334.12i	−0.168155	−	0.0777968i
$666$	672.583	+	1688.06i	0.0391322	+	0.0982145i
$667$	−66.2764	−	1222.40i	−0.00384743	−	0.0709616i
$668$	−14336.9	−	21145.3i	−0.830405	−	1.22476i
$669$	−7229.40	−	8511.11i	−0.417795	−	0.491866i
$670$	−1996.14	−	3765.11i	−0.115101	−	0.217103i
$671$	−15282.5	+	5149.29i	−0.879249	+	0.296254i
$672$	161.629	−	2981.06i	0.00927821	−	0.171126i
$673$	−6953.39	+	4183.72i	−0.398267	+	0.239629i	−0.700572	−	0.713582i	$-0.747072\pi$
$673$	−6953.39	+	4183.72i	−0.398267	+	0.239629i	0.302305	+	0.953211i	$0.402244\pi$
$674$	−1775.54	−	6394.93i	−0.101471	−	0.365465i
$675$	−1098.91	+	3957.93i	−0.0626626	+	0.225690i
$676$	−14150.5	−	8514.08i	−0.805104	−	0.484415i
$677$	−7074.81	+	10434.6i	−0.401635	+	0.592368i	−0.973698	−	0.227842i	$-0.926833\pi$
$677$	−7074.81	+	10434.6i	−0.401635	+	0.592368i	0.572063	+	0.820210i	$0.306143\pi$
$678$	−273.412	+	29.7354i	−0.0154872	+	0.00168434i
$679$	9662.90	−	1050.90i	0.546139	−	0.0593962i
$680$	5782.18	−	8528.08i	0.326083	−	0.480937i
$681$	−5292.50	−	3184.39i	−0.297810	−	0.179187i
$682$	−125.123	+	450.654i	−0.00702526	+	0.0253027i
$683$	5108.77	+	18400.1i	0.286210	+	1.03084i	0.957214	+	0.289382i	$0.0934498\pi$
$683$	5108.77	+	18400.1i	0.286210	+	1.03084i	−0.671003	+	0.741454i	$0.734136\pi$
$684$	−1364.36	+	820.909i	−0.0762685	+	0.0458892i
$685$	1757.57	−	32416.5i	0.0980341	−	1.80813i
$686$	−3307.75	+	1114.51i	−0.184097	+	0.0620294i
$687$	3092.13	+	5832.38i	0.171721	+	0.323900i
$688$	8213.92	+	9670.17i	0.455164	+	0.535860i
$689$	−15.5953	−	23.0013i	−0.000862311	−	0.00127181i
$690$	−43.5268	−	802.805i	−0.00240150	−	0.0442931i
$691$	8690.62	+	21811.8i	0.478447	+	1.20081i	0.948104	+	0.317961i	$0.102998\pi$
$691$	8690.62	+	21811.8i	0.478447	+	1.20081i	−0.469657	+	0.882849i	$0.655622\pi$
$692$	−127.194	−	58.8463i	−0.00698728	−	0.00323266i
$693$	1646.80	−	362.488i	0.0902694	−	0.0198698i
$694$	1519.86	−	2866.76i	0.0831313	−	0.156802i
$695$	1020.91	−	6227.26i	0.0557198	−	0.339876i
$696$	1356.91	−	1031.50i	0.0738988	−	0.0561764i
$697$	−5865.47	+	2713.66i	−0.318753	+	0.147471i
$698$	236.448	+	223.976i	0.0128219	+	0.0121456i
$699$	−996.557	−	6078.73i	−0.0539245	−	0.328925i
$700$	−8791.93	−	2962.34i	−0.474719	−	0.159952i
$701$	−1694.75	+	4253.50i	−0.0913121	+	0.229176i	−0.967539	−	0.252724i	$-0.918674\pi$
$701$	−1694.75	+	4253.50i	−0.0913121	+	0.229176i	0.876226	+	0.481900i	$0.160053\pi$
$702$	−9.71296	+	9.20060i	−0.000522211	+	0.000494664i
$703$	5450.98	+	4143.73i	0.292443	+	0.222310i
$704$	7586.42	+	1669.90i	0.406142	+	0.0893986i
$705$	4599.03	−	5414.40i	0.245687	−	0.289245i
$706$	−4108.10	−	446.783i	−0.218995	−	0.0238171i
$707$	8614.39			0.458242
$708$	−8729.09	−	5318.96i	−0.463361	−	0.282343i
$709$	−14846.0			−0.786394			−0.393197	−	0.919454i	$-0.628631\pi$
$709$	−14846.0			−0.786394			−0.393197	+	0.919454i	$0.628631\pi$
$710$	−11392.5	−	1239.01i	−0.602190	−	0.0654921i
$711$	3155.76	−	3715.24i	0.166456	−	0.195967i
$712$	−10990.1	−	2419.11i	−0.578473	−	0.127331i
$713$	−538.971	−	409.715i	−0.0283094	−	0.0215203i
$714$	704.550	−	667.385i	0.0369287	−	0.0349808i
$715$	101.647	−	255.114i	0.00531661	−	0.0133437i
$716$	−21554.3	−	7262.49i	−1.12503	−	0.379067i
$717$	1039.08	+	6338.09i	0.0541214	+	0.330126i
$718$	785.782	+	744.332i	0.0408428	+	0.0386884i
$719$	15923.7	−	7367.10i	0.825945	−	0.382123i	0.0390710	−	0.999236i	$-0.487560\pi$
$719$	15923.7	−	7367.10i	0.825945	−	0.382123i	0.786874	+	0.617113i	$0.211698\pi$
$720$	−6283.11	+	4776.30i	−0.325219	+	0.247225i
$721$	326.223	−	1989.87i	0.0168504	−	0.102783i
$722$	−2049.28	+	3865.36i	−0.105632	+	0.199243i
$723$	20010.6	−	4404.67i	1.02933	−	0.226572i
$724$	−21463.9	−	9930.26i	−1.10179	−	0.509745i
$725$	−2971.23	−	7457.23i	−0.152205	−	0.382006i
$726$	89.8642	+	1657.45i	0.00459390	+	0.0847295i
$727$	−10112.0	−	14914.2i	−0.515867	−	0.760846i	0.477150	−	0.878822i	$-0.341670\pi$
$727$	−10112.0	−	14914.2i	−0.515867	−	0.760846i	−0.993016	+	0.117976i	$0.962360\pi$
$728$	−40.3774	−	47.5359i	−0.00205561	−	0.00242005i
$729$	341.470	+	644.080i	0.0173485	+	0.0327227i
$730$	4905.39	−	1652.82i	0.248708	−	0.0837994i
$731$	−749.529	+	13824.2i	−0.0379238	+	0.699464i
$732$	13493.0	−	8118.46i	0.681305	−	0.409927i
$733$	4479.91	+	16135.2i	0.225742	+	0.813050i	0.986465	+	0.163973i	$0.0524310\pi$
$733$	4479.91	+	16135.2i	0.225742	+	0.813050i	−0.760723	+	0.649077i	$0.775155\pi$
$734$	−30.3997	+	109.490i	−0.00152871	+	0.00550591i
$735$	11862.9	+	7137.65i	0.595331	+	0.358199i
$736$	1597.47	−	2356.09i	0.0800048	−	0.117998i
$737$	8472.21	−	921.408i	0.423443	−	0.0460522i
$738$	−698.019	+	75.9142i	−0.0348163	+	0.00378650i
$739$	−21501.5	+	31712.4i	−1.07029	+	1.57856i	−0.285943	+	0.958247i	$0.592307\pi$
$739$	−21501.5	+	31712.4i	−1.07029	+	1.57856i	−0.784350	+	0.620318i	$0.787003\pi$
$740$	31207.3	+	18776.8i	1.55027	+	0.932769i
$741$	−13.4870	+	48.5759i	−0.000668635	+	0.00240820i
$742$	58.5889	+	211.018i	0.00289874	+	0.0104403i
$743$	−7639.99	+	4596.83i	−0.377233	+	0.226974i	−0.691525	−	0.722353i	$-0.743061\pi$
$743$	−7639.99	+	4596.83i	−0.377233	+	0.226974i	0.314292	+	0.949326i	$0.398233\pi$
$744$	51.0327	−	941.243i	0.00251472	−	0.0463812i
$745$	−43004.3	+	14489.8i	−2.11484	+	0.712572i
$746$	−4130.16	−	7790.30i	−0.202702	−	0.382337i
$747$	5534.33	+	6515.52i	0.271072	+	0.319130i
$748$	5602.21	+	8262.64i	0.273846	+	0.403893i
$749$	−291.664	−	5379.43i	−0.0142285	−	0.262430i
$750$	−348.049	−	873.538i	−0.0169453	−	0.0425294i
$751$	−29897.9	−	13832.2i	−1.45272	−	0.672098i	−0.474609	−	0.880197i	$-0.657411\pi$
$751$	−29897.9	−	13832.2i	−1.45272	−	0.672098i	−0.978108	+	0.208098i	$0.933273\pi$
$752$	7317.85	−	1610.78i	0.354860	−	0.0781106i
$753$	−8543.74	+	16115.2i	−0.413481	+	0.779908i
$754$	4.22986	−	25.8010i	0.000204300	−	0.00124618i
$755$	37953.9	−	28851.8i	1.82951	−	1.39076i
$756$	−1494.34	+	691.357i	−0.0718899	+	0.0332598i
$757$	3703.73	+	3508.36i	0.177826	+	0.168446i	0.771436	−	0.636307i	$-0.219539\pi$
$757$	3703.73	+	3508.36i	0.177826	+	0.168446i	−0.593610	+	0.804753i	$0.702298\pi$
$758$	−122.564	−	747.606i	−0.00587298	−	0.0358236i
$759$	1523.63	+	513.372i	0.0728649	+	0.0245510i
$760$	1561.27	−	3918.49i	0.0745173	−	0.187024i
$761$	15943.3	−	15102.3i	0.759453	−	0.719393i	−0.206404	−	0.978467i	$-0.566176\pi$
$761$	15943.3	−	15102.3i	0.759453	−	0.719393i	0.965857	+	0.259074i	$0.0834175\pi$
$762$	188.170	+	143.043i	0.00894580	+	0.00680042i
$763$	934.494	+	205.698i	0.0443394	+	0.00975984i
$764$	9375.24	−	11037.4i	0.443958	−	0.522668i
$765$	−8561.50	−	931.119i	−0.404629	−	0.0440061i
$766$	−588.750			−0.0277708
$767$	−316.456	+	67.8007i	−0.0148977	+	0.00319184i
$768$	−5542.00			−0.260390
$769$	6860.46	+	746.120i	0.321709	+	0.0349880i	0.267549	−	0.963544i	$-0.413786\pi$
$769$	6860.46	+	746.120i	0.321709	+	0.0349880i	0.0541603	+	0.998532i	$0.482752\pi$
$770$	−1401.05	+	1649.45i	−0.0655720	+	0.0771973i
$771$	17422.4	+

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:	\( N \)	\(=\)	\( 177 = 3 \cdot 59 \)
Weight:	\( k \)	\(=\)	\( 4 \)
Character orbit:	\([\chi]\)	\(=\)	177.e (of order \(29\), degree \(28\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.689793 - 0.0750196i) q^{2} +(-1.94216 + 2.28649i) q^{3} +(-7.34278 - 1.61627i) q^{4} +(-13.2529 - 10.0746i) q^{5} +(1.51122 - 1.43150i) q^{6} +(3.00216 - 7.53485i) q^{7} +(10.2041 + 3.43815i) q^{8} +(-1.45604 - 8.88144i) q^{9} +O(q^{10})\)	\(q+(-0.689793 - 0.0750196i) q^{2} +(-1.94216 + 2.28649i) q^{3} +(-7.34278 - 1.61627i) q^{4} +(-13.2529 - 10.0746i) q^{5} +(1.51122 - 1.43150i) q^{6} +(3.00216 - 7.53485i) q^{7} +(10.2041 + 3.43815i) q^{8} +(-1.45604 - 8.88144i) q^{9} +(8.38595 + 7.94360i) q^{10} +(-20.9645 + 9.69923i) q^{11} +(17.9564 - 13.6501i) q^{12} +(0.115534 - 0.704729i) q^{13} +(-2.63613 + 4.97227i) q^{14} +(48.7745 - 10.7361i) q^{15} +(47.8085 + 22.1186i) q^{16} +(21.2754 + 53.3973i) q^{17} +(0.338084 + 6.23559i) q^{18} +(13.2054 + 19.4765i) q^{19} +(81.0297 + 95.3955i) q^{20} +(11.3977 + 21.4983i) q^{21} +(15.1888 - 5.11771i) q^{22} +(-1.25608 + 23.1670i) q^{23} +(-27.6792 + 16.6540i) q^{24} +(40.7005 + 146.590i) q^{25} +(-0.132563 + 0.477450i) q^{26} +(23.1351 + 13.9200i) q^{27} +(-34.2225 + 50.4744i) q^{28} +(-52.4552 + 5.70485i) q^{29} +(-34.4498 + 3.74664i) q^{30} +(-16.3758 + 24.1524i) q^{31} +(-105.130 - 63.2545i) q^{32} +(18.5393 - 66.7726i) q^{33} +(-10.6698 - 38.4292i) q^{34} +(-115.698 + 69.6129i) q^{35} +(-3.66342 + 67.5678i) q^{36} +(275.751 - 92.9112i) q^{37} +(-7.64788 - 14.4254i) q^{38} +(1.38697 + 1.63286i) q^{39} +(-100.595 - 148.367i) q^{40} +(6.08717 + 112.271i) q^{41} +(-6.24924 - 15.6844i) q^{42} +(218.599 + 101.134i) q^{43} +(169.614 - 37.3350i) q^{44} +(-70.1800 + 132.373i) q^{45} +(2.60441 - 15.8862i) q^{46} +(113.240 - 86.0827i) q^{47} +(-143.425 + 66.3557i) q^{48} +(201.255 + 190.639i) q^{49} +(-17.0778 - 104.170i) q^{50} +(-163.412 - 55.0601i) q^{51} +(-1.98737 + 4.98793i) q^{52} +(28.2512 - 26.7610i) q^{53} +(-14.9142 - 11.3375i) q^{54} +(375.556 + 82.6661i) q^{55} +(56.5401 - 66.5642i) q^{56} +(-70.1798 - 7.63251i) q^{57} +36.6113 q^{58} +(-165.381 - 421.934i) q^{59} -375.493 q^{60} +(694.049 + 75.4824i) q^{61} +(13.1078 - 15.4317i) q^{62} +(-71.2915 - 15.6925i) q^{63} +(-267.715 - 203.511i) q^{64} +(-8.63100 + 8.17572i) q^{65} +(-17.7975 + 44.6685i) q^{66} +(-349.620 - 117.801i) q^{67} +(-69.9164 - 426.471i) q^{68} +(-50.5316 - 47.8660i) q^{69} +(85.0297 - 39.3389i) q^{70} +(-789.804 + 600.394i) q^{71} +(15.6782 - 95.6328i) q^{72} +(209.909 - 395.930i) q^{73} +(-197.181 + 43.4028i) q^{74} +(-414.223 - 191.640i) q^{75} +(-65.4851 - 164.355i) q^{76} +(10.1434 + 187.083i) q^{77} +(-0.834224 - 1.23039i) q^{78} +(350.640 + 412.805i) q^{79} +(-410.765 - 774.784i) q^{80} +(-76.7599 + 25.8634i) q^{81} +(4.22365 - 77.9006i) q^{82} +(-813.894 + 489.704i) q^{83} +(-48.9435 - 176.279i) q^{84} +(255.994 - 922.008i) q^{85} +(-143.201 - 86.1611i) q^{86} +(88.8323 - 131.018i) q^{87} +(-247.271 + 26.8923i) q^{88} +(-1038.96 + 112.994i) q^{89} +(58.3403 - 86.0455i) q^{90} +(-4.96317 - 2.98624i) q^{91} +(46.6672 - 168.080i) q^{92} +(-23.4199 - 84.3508i) q^{93} +(-84.5700 + 50.8841i) q^{94} +(21.2080 - 391.158i) q^{95} +(348.809 - 117.528i) q^{96} +(561.327 + 1058.78i) q^{97} +(-124.523 - 146.600i) q^{98} +(116.668 + 172.073i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 420q - 2q^{2} + 45q^{3} - 64q^{4} + 14q^{5} + 6q^{6} + 6q^{7} + 18q^{8} - 135q^{9} + O(q^{10}) \)	\( 420q - 2q^{2} + 45q^{3} - 64q^{4} + 14q^{5} + 6q^{6} + 6q^{7} + 18q^{8} - 135q^{9} + 854q^{10} + 32q^{11} + 192q^{12} - 22q^{13} - 884q^{14} - 42q^{15} - 268q^{16} - 56q^{17} - 18q^{18} - 112q^{19} - 250q^{20} + 243q^{21} + 108q^{22} + 16q^{23} - 54q^{24} - 197q^{25} - 328q^{26} + 405q^{27} + 236q^{28} - 54q^{29} - 126q^{30} + 66q^{31} + 857q^{32} - 96q^{33} + 112q^{34} + 532q^{35} - 576q^{36} + 110q^{37} + 56q^{38} + 66q^{39} - 6044q^{40} + 304q^{41} - 306q^{42} - 324q^{43} - 568q^{44} + 126q^{45} + 5842q^{46} + 4082q^{47} + 804q^{48} + 739q^{49} + 576q^{50} + 168q^{51} - 1372q^{52} - 1498q^{53} + 54q^{54} - 4422q^{55} - 12036q^{56} + 336q^{57} + 6298q^{58} - 3305q^{59} + 750q^{60} - 1718q^{61} - 4333q^{62} + 54q^{63} - 6250q^{64} - 5884q^{65} - 324q^{66} + 382q^{67} + 734q^{68} + 3780q^{69} + 8082q^{70} + 8638q^{71} + 162q^{72} + 8894q^{73} + 12428q^{74} + 243q^{75} - 15468q^{76} - 9916q^{77} + 984q^{78} - 578q^{79} + 24570q^{80} - 1215q^{81} - 1382q^{82} - 32q^{83} + 7557q^{84} + 708q^{85} + 2296q^{86} - 5928q^{87} - 17646q^{88} - 2284q^{89} + 378q^{90} + 11124q^{91} + 762q^{92} - 198q^{93} - 1232q^{94} + 24184q^{95} - 396q^{96} - 658q^{97} - 4356q^{98} + 288q^{99} + O(q^{100}) \)

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