LMFDB - Embedded newform 983.2.c.a.2.20

Newspace parameters

Level:	$ N $	$=$	$ 983 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	983.c (of order $491$, degree $490$, minimal)

Newform invariants

Self dual:	no
Analytic conductor:	$7.84929451869$
Analytic rank:	$0$
Dimension:	$39690$
Relative dimension:	$81$ over $\Q(\zeta_{491})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{491}]$

Embedding invariants

Embedding label			2.20
Character	$\chi$	$=$	983.2
Dual form			983.2.c.a.492.20

$q$-expansion

$f(q)$	$=$	$q+(-0.529551 + 1.58145i) q^{2} +(0.208046 + 0.116883i) q^{3} +(-0.623831 - 0.470542i) q^{4} +(-1.17513 + 1.77249i) q^{5} +(-0.295015 + 0.267117i) q^{6} +(1.73067 - 3.81900i) q^{7} +(-1.67570 + 1.14996i) q^{8} +(-1.53091 - 2.51354i) q^{9} +O(q^{10})$	\(q+(-0.529551 + 1.58145i) q^{2} +(0.208046 + 0.116883i) q^{3} +(-0.623831 - 0.470542i) q^{4} +(-1.17513 + 1.77249i) q^{5} +(-0.295015 + 0.267117i) q^{6} +(1.73067 - 3.81900i) q^{7} +(-1.67570 + 1.14996i) q^{8} +(-1.53091 - 2.51354i) q^{9} +(-2.18080 - 2.79703i) q^{10} +(3.15193 + 0.201947i) q^{11} +(-0.0747869 - 0.170810i) q^{12} +(-2.17070 - 2.50807i) q^{13} +(5.12306 + 4.75932i) q^{14} +(-0.451654 + 0.231405i) q^{15} +(-1.36061 - 4.76163i) q^{16} +(5.91252 - 2.61130i) q^{17} +(4.78572 - 1.09001i) q^{18} +(5.91835 + 4.52379i) q^{19} +(1.56711 - 0.552782i) q^{20} +(0.806435 - 0.592240i) q^{21} +(-1.98847 + 4.87766i) q^{22} +(0.565087 + 5.33268i) q^{23} +(-0.483033 + 0.0433847i) q^{24} +(0.185848 + 0.439699i) q^{25} +(5.11587 - 2.10470i) q^{26} +(-0.0498974 - 1.41732i) q^{27} +(-2.87665 + 1.56805i) q^{28} +(-0.823802 + 1.19223i) q^{29} +(-0.126780 - 0.836807i) q^{30} +(-1.30776 - 1.94539i) q^{31} +(4.19018 + 0.187798i) q^{32} +(0.632141 + 0.410421i) q^{33} +(0.998646 + 10.7331i) q^{34} +(4.73535 + 7.55542i) q^{35} +(-0.227696 + 2.28838i) q^{36} +(9.54053 - 2.36648i) q^{37} +(-10.2882 + 6.96397i) q^{38} +(-0.158454 - 0.775511i) q^{39} +(-0.0691322 - 4.32151i) q^{40} +(1.12782 + 0.101298i) q^{41} +(0.509547 + 1.58895i) q^{42} +(-3.10063 - 4.25047i) q^{43} +(-1.87124 - 1.60910i) q^{44} +(6.25424 + 0.240219i) q^{45} +(-8.73259 - 1.93027i) q^{46} +(0.860180 + 2.87073i) q^{47} +(0.273484 - 1.14967i) q^{48} +(-6.97481 - 7.95539i) q^{49} +(-0.793775 + 0.0610663i) q^{50} +(1.53529 + 0.147804i) q^{51} +(0.173998 + 2.58602i) q^{52} +(3.06551 - 2.81153i) q^{53} +(2.26783 + 0.671631i) q^{54} +(-4.06188 + 5.34943i) q^{55} +(1.49163 + 8.38970i) q^{56} +(0.702533 + 1.63291i) q^{57} +(-1.44920 - 1.93414i) q^{58} +(-7.30408 - 0.561914i) q^{59} +(0.390642 + 0.0681650i) q^{60} +(-1.73475 - 1.47252i) q^{61} +(3.76905 - 1.03797i) q^{62} +(-12.2487 + 1.49644i) q^{63} +(1.04634 - 2.71455i) q^{64} +(6.99638 - 0.900225i) q^{65} +(-0.983809 + 0.782357i) q^{66} +(1.81410 - 1.55996i) q^{67} +(-4.91714 - 1.15308i) q^{68} +(-0.505736 + 1.17549i) q^{69} +(-14.4561 + 3.48772i) q^{70} +(-2.18873 + 1.78674i) q^{71} +(5.45583 + 2.45143i) q^{72} +(1.43373 + 1.02494i) q^{73} +(-1.30974 + 16.3410i) q^{74} +(-0.0127284 + 0.113200i) q^{75} +(-1.56342 - 5.60691i) q^{76} +(6.22619 - 11.6877i) q^{77} +(1.31034 + 0.160086i) q^{78} +(2.23772 - 0.331706i) q^{79} +(10.0388 + 3.18387i) q^{80} +(-3.89580 + 7.54423i) q^{81} +(-0.757434 + 1.72994i) q^{82} +(17.2621 - 5.35347i) q^{83} +(-0.781753 - 0.0100044i) q^{84} +(-2.31950 + 13.5485i) q^{85} +(8.36383 - 2.65264i) q^{86} +(-0.310739 + 0.151749i) q^{87} +(-5.51390 + 3.28620i) q^{88} +(13.8788 + 9.13768i) q^{89} +(-3.69183 + 9.76352i) q^{90} +(-13.3351 + 3.94926i) q^{91} +(2.15673 - 3.59259i) q^{92} +(-0.0446906 - 0.557584i) q^{93} +(-4.99540 - 0.159866i) q^{94} +(-14.9732 + 5.17414i) q^{95} +(0.849799 + 0.528832i) q^{96} +(-3.25898 + 0.166963i) q^{97} +(16.2745 - 6.81750i) q^{98} +(-4.31772 - 8.23166i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 39690 q - 489 q^{2} - 487 q^{3} - 565 q^{4} - 485 q^{5} - 477 q^{6} - 489 q^{7} - 485 q^{8} - 558 q^{9}+O(q^{10}) $ 39690 * q - 489 * q^2 - 487 * q^3 - 565 * q^4 - 485 * q^5 - 477 * q^6 - 489 * q^7 - 485 * q^8 - 558 * q^9	\( 39690 q - 489 q^{2} - 487 q^{3} - 565 q^{4} - 485 q^{5} - 477 q^{6} - 489 q^{7} - 485 q^{8} - 558 q^{9} - 471 q^{10} - 477 q^{11} - 463 q^{12} - 483 q^{13} - 473 q^{14} - 461 q^{15} - 543 q^{16} - 481 q^{17} - 457 q^{18} - 473 q^{19} - 449 q^{20} - 449 q^{21} - 459 q^{22} - 473 q^{23} - 405 q^{24} - 552 q^{25} - 437 q^{26} - 451 q^{27} - 455 q^{28} - 455 q^{29} - 379 q^{30} - 459 q^{31} - 437 q^{32} - 447 q^{33} - 423 q^{34} - 439 q^{35} - 459 q^{36} - 475 q^{37} - 423 q^{38} - 439 q^{39} - 413 q^{40} - 455 q^{41} - 407 q^{42} - 457 q^{43} - 413 q^{44} - 397 q^{45} - 415 q^{46} - 467 q^{47} - 393 q^{48} - 524 q^{49} - 429 q^{50} - 403 q^{51} - 391 q^{52} - 431 q^{53} - 379 q^{54} - 415 q^{55} - 371 q^{56} - 447 q^{57} - 431 q^{58} - 439 q^{59} - 261 q^{60} - 431 q^{61} - 383 q^{62} - 445 q^{63} - 447 q^{64} - 415 q^{65} - 345 q^{66} - 439 q^{67} - 409 q^{68} - 367 q^{69} - 345 q^{70} - 415 q^{71} - 341 q^{72} - 465 q^{73} - 359 q^{74} - 339 q^{75} - 361 q^{76} - 363 q^{77} - 341 q^{78} - 423 q^{79} - 249 q^{80} - 420 q^{81} - 371 q^{82} - 433 q^{83} - 215 q^{84} - 409 q^{85} - 369 q^{86} - 329 q^{87} - 255 q^{88} - 393 q^{89} - 251 q^{90} - 373 q^{91} - 387 q^{92} - 369 q^{93} - 317 q^{94} - 393 q^{95} - 149 q^{96} - 415 q^{97} - 307 q^{98} - 299 q^{99}+O(q^{100}) \) 39690 * q - 489 * q^2 - 487 * q^3 - 565 * q^4 - 485 * q^5 - 477 * q^6 - 489 * q^7 - 485 * q^8 - 558 * q^9 - 471 * q^10 - 477 * q^11 - 463 * q^12 - 483 * q^13 - 473 * q^14 - 461 * q^15 - 543 * q^16 - 481 * q^17 - 457 * q^18 - 473 * q^19 - 449 * q^20 - 449 * q^21 - 459 * q^22 - 473 * q^23 - 405 * q^24 - 552 * q^25 - 437 * q^26 - 451 * q^27 - 455 * q^28 - 455 * q^29 - 379 * q^30 - 459 * q^31 - 437 * q^32 - 447 * q^33 - 423 * q^34 - 439 * q^35 - 459 * q^36 - 475 * q^37 - 423 * q^38 - 439 * q^39 - 413 * q^40 - 455 * q^41 - 407 * q^42 - 457 * q^43 - 413 * q^44 - 397 * q^45 - 415 * q^46 - 467 * q^47 - 393 * q^48 - 524 * q^49 - 429 * q^50 - 403 * q^51 - 391 * q^52 - 431 * q^53 - 379 * q^54 - 415 * q^55 - 371 * q^56 - 447 * q^57 - 431 * q^58 - 439 * q^59 - 261 * q^60 - 431 * q^61 - 383 * q^62 - 445 * q^63 - 447 * q^64 - 415 * q^65 - 345 * q^66 - 439 * q^67 - 409 * q^68 - 367 * q^69 - 345 * q^70 - 415 * q^71 - 341 * q^72 - 465 * q^73 - 359 * q^74 - 339 * q^75 - 361 * q^76 - 363 * q^77 - 341 * q^78 - 423 * q^79 - 249 * q^80 - 420 * q^81 - 371 * q^82 - 433 * q^83 - 215 * q^84 - 409 * q^85 - 369 * q^86 - 329 * q^87 - 255 * q^88 - 393 * q^89 - 251 * q^90 - 373 * q^91 - 387 * q^92 - 369 * q^93 - 317 * q^94 - 393 * q^95 - 149 * q^96 - 415 * q^97 - 307 * q^98 - 299 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/983\mathbb{Z}\right)^\times$.

$n$	$5$
$\chi(n)$	$e\left(\frac{337}{491}\right)$

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 $

$2$	−0.529551	+	1.58145i	−0.374449	+	1.11825i	0.578646	+	0.815579i	$0.303581\pi$
$2$	−0.529551	+	1.58145i	−0.374449	+	1.11825i	−0.953095	+	0.302672i	$0.902121\pi$
$3$	0.208046	+	0.116883i	0.120115	+	0.0674825i	0.548701	−	0.836019i	$-0.315122\pi$
$3$	0.208046	+	0.116883i	0.120115	+	0.0674825i	−0.428586	+	0.903501i	$0.640988\pi$
$4$	−0.623831	−	0.470542i	−0.311915	−	0.235271i
$5$	−1.17513	+	1.77249i	−0.525535	+	0.792680i	−0.995964	−	0.0897584i	$-0.971390\pi$
$5$	−1.17513	+	1.77249i	−0.525535	+	0.792680i	0.470429	+	0.882438i	$0.344099\pi$
$6$	−0.295015	+	0.267117i	−0.120439	+	0.109050i
$7$	1.73067	−	3.81900i	0.654133	−	1.44345i	−0.228576	−	0.973526i	$-0.573407\pi$
$7$	1.73067	−	3.81900i	0.654133	−	1.44345i	0.882709	−	0.469920i	$-0.155717\pi$
$8$	−1.67570	+	1.14996i	−0.592448	+	0.406574i
$9$	−1.53091	−	2.51354i	−0.510304	−	0.837847i
$10$	−2.18080	−	2.79703i	−0.689629	−	0.884497i
$11$	3.15193	+	0.201947i	0.950342	+	0.0608894i	0.531397	−	0.847123i	$-0.321667\pi$
$11$	3.15193	+	0.201947i	0.950342	+	0.0608894i	0.418944	+	0.908012i	$0.362400\pi$
$12$	−0.0747869	−	0.170810i	−0.0215891	−	0.0493085i
$13$	−2.17070	−	2.50807i	−0.602044	−	0.695613i	0.370367	−	0.928885i	$-0.379232\pi$
$13$	−2.17070	−	2.50807i	−0.602044	−	0.695613i	−0.972412	+	0.233272i	$0.925057\pi$
$14$	5.12306	+	4.75932i	1.36920	+	1.27198i
$15$	−0.451654	+	0.231405i	−0.116617	+	0.0597485i
$16$	−1.36061	−	4.76163i	−0.340154	−	1.19041i
$17$	5.91252	−	2.61130i	1.43400	−	0.633332i	0.466111	−	0.884726i	$-0.345655\pi$
$17$	5.91252	−	2.61130i	1.43400	−	0.633332i	0.967885	+	0.251394i	$0.0808889\pi$
$18$	4.78572	−	1.09001i	1.12801	−	0.256918i
$19$	5.91835	+	4.52379i	1.35776	+	1.03783i	0.994345	+	0.106202i	$0.0338689\pi$
$19$	5.91835	+	4.52379i	1.35776	+	1.03783i	0.363418	+	0.931626i	$0.381610\pi$
$20$	1.56711	−	0.552782i	0.350417	−	0.123606i
$21$	0.806435	−	0.592240i	0.175979	−	0.129237i
$22$	−1.98847	+	4.87766i	−0.423944	+	1.03992i
$23$	0.565087	+	5.33268i	0.117829	+	1.11194i	0.883410	+	0.468601i	$0.155242\pi$
$23$	0.565087	+	5.33268i	0.117829	+	1.11194i	−0.765581	+	0.643340i	$0.777548\pi$
$24$	−0.483033	+	0.0433847i	−0.0985986	+	0.00885587i
$25$	0.185848	+	0.439699i	0.0371697	+	0.0879397i
$26$	5.11587	−	2.10470i	1.00330	−	0.412765i
$27$	−0.0498974	−	1.41732i	−0.00960275	−	0.272763i
$28$	−2.87665	+	1.56805i	−0.543636	+	0.296335i
$29$	−0.823802	+	1.19223i	−0.152976	+	0.221391i	−0.891711	−	0.452605i	$-0.850495\pi$
$29$	−0.823802	+	1.19223i	−0.152976	+	0.221391i	0.738735	+	0.673996i	$0.235424\pi$
$30$	−0.126780	−	0.836807i	−0.0231468	−	0.152779i
$31$	−1.30776	−	1.94539i	−0.234880	−	0.349402i	0.693875	−	0.720095i	$-0.255902\pi$
$31$	−1.30776	−	1.94539i	−0.234880	−	0.349402i	−0.928755	+	0.370694i	$0.879120\pi$
$32$	4.19018	+	0.187798i	0.740727	+	0.0331982i
$33$	0.632141	+	0.410421i	0.110042	+	0.0714451i
$34$	0.998646	+	10.7331i	0.171266	+	1.84072i
$35$	4.73535	+	7.55542i	0.800421	+	1.27710i
$36$	−0.227696	+	2.28838i	−0.0379494	+	0.381397i
$37$	9.54053	−	2.36648i	1.56845	−	0.389047i	0.642379	−	0.766387i	$-0.277948\pi$
$37$	9.54053	−	2.36648i	1.56845	−	0.389047i	0.926075	+	0.377341i	$0.123161\pi$
$38$	−10.2882	+	6.96397i	−1.66896	+	1.12971i
$39$	−0.158454	−	0.775511i	−0.0253730	−	0.124181i
$40$	−0.0691322	−	4.32151i	−0.0109308	−	0.683290i
$41$	1.12782	+	0.101298i	0.176136	+	0.0158200i	0.177175	−	0.984179i	$-0.443304\pi$
$41$	1.12782	+	0.101298i	0.176136	+	0.0158200i	−0.00103897	+	0.999999i	$0.500331\pi$
$42$	0.509547	+	1.58895i	0.0786248	+	0.245181i
$43$	−3.10063	−	4.25047i	−0.472842	−	0.648191i	0.503609	−	0.863932i	$-0.332005\pi$
$43$	−3.10063	−	4.25047i	−0.472842	−	0.648191i	−0.976451	+	0.215741i	$0.930783\pi$
$44$	−1.87124	−	1.60910i	−0.282101	−	0.242580i
$45$	6.25424	+	0.240219i	0.932326	+	0.0358097i
$46$	−8.73259	−	1.93027i	−1.28755	−	0.284603i
$47$	0.860180	+	2.87073i	0.125470	+	0.418738i	0.997496	−	0.0707213i	$-0.0225301\pi$
$47$	0.860180	+	2.87073i	0.125470	+	0.418738i	−0.872026	+	0.489460i	$0.837194\pi$
$48$	0.273484	−	1.14967i	0.0394740	−	0.165940i
$49$	−6.97481	−	7.95539i	−0.996402	−	1.13648i
$50$	−0.793775	+	0.0610663i	−0.112257	+	0.00863608i
$51$	1.53529	+	0.147804i	0.214984	+	0.0206967i
$52$	0.173998	+	2.58602i	0.0241291	+	0.358616i
$53$	3.06551	−	2.81153i	0.421081	−	0.386194i	−0.437208	−	0.899360i	$-0.644033\pi$
$53$	3.06551	−	2.81153i	0.421081	−	0.386194i	0.858289	+	0.513167i	$0.171528\pi$
$54$	2.26783	+	0.671631i	0.308613	+	0.0913975i
$55$	−4.06188	+	5.34943i	−0.547703	+	0.721317i
$56$	1.49163	+	8.38970i	0.199328	+	1.12112i
$57$	0.702533	+	1.63291i	0.0930528	+	0.216284i
$58$	−1.44920	−	1.93414i	−0.190289	−	0.253965i
$59$	−7.30408	−	0.561914i	−0.950910	−	0.0731550i	−0.408033	−	0.912967i	$-0.633785\pi$
$59$	−7.30408	−	0.561914i	−0.950910	−	0.0731550i	−0.542877	+	0.839812i	$0.682665\pi$
$60$	0.390642	+	0.0681650i	0.0504316	+	0.00880007i
$61$	−1.73475	−	1.47252i	−0.222112	−	0.188537i	0.529175	−	0.848513i	$-0.322502\pi$
$61$	−1.73475	−	1.47252i	−0.222112	−	0.188537i	−0.751287	+	0.659975i	$0.770567\pi$
$62$	3.76905	−	1.03797i	0.478669	−	0.131822i
$63$	−12.2487	+	1.49644i	−1.54319	+	0.188534i
$64$	1.04634	−	2.71455i	0.130792	−	0.339319i
$65$	6.99638	−	0.900225i	0.867794	−	0.111659i
$66$	−0.983809	+	0.782357i	−0.121098	+	0.0963015i
$67$	1.81410	−	1.55996i	0.221628	−	0.190579i	−0.534184	−	0.845368i	$-0.679381\pi$
$67$	1.81410	−	1.55996i	0.221628	−	0.190579i	0.755812	+	0.654789i	$0.227243\pi$
$68$	−4.91714	−	1.15308i	−0.596290	−	0.139832i
$69$	−0.505736	+	1.17549i	−0.0608835	+	0.141512i
$70$	−14.4561	+	3.48772i	−1.72783	+	0.416863i
$71$	−2.18873	+	1.78674i	−0.259754	+	0.212047i	−0.753308	−	0.657668i	$-0.771543\pi$
$71$	−2.18873	+	1.78674i	−0.259754	+	0.212047i	0.493554	+	0.869715i	$0.335698\pi$
$72$	5.45583	+	2.45143i	0.642975	+	0.288904i
$73$	1.43373	+	1.02494i	0.167806	+	0.119960i	0.662358	−	0.749188i	$-0.269556\pi$
$73$	1.43373	+	1.02494i	0.167806	+	0.119960i	−0.494552	+	0.869148i	$0.664668\pi$
$74$	−1.30974	+	16.3410i	−0.152254	+	1.89960i
$75$	−0.0127284	+	0.113200i	−0.00146975	+	0.0130712i
$76$	−1.56342	−	5.60691i	−0.179336	−	0.643157i
$77$	6.22619	−	11.6877i	0.709540	−	1.33194i
$78$	1.31034	+	0.160086i	0.148367	+	0.0181261i
$79$	2.23772	−	0.331706i	0.251763	−	0.0373198i	−0.0195579	−	0.999809i	$-0.506226\pi$
$79$	2.23772	−	0.331706i	0.251763	−	0.0373198i	0.271321	+	0.962489i	$0.412540\pi$
$80$	10.0388	+	3.18387i	1.12237	+	0.355968i
$81$	−3.89580	+	7.54423i	−0.432867	+	0.838248i
$82$	−0.757434	+	1.72994i	−0.0836446	+	0.191040i
$83$	17.2621	−	5.35347i	1.89476	−	0.587619i	0.909744	−	0.415169i	$-0.136278\pi$
$83$	17.2621	−	5.35347i	1.89476	−	0.587619i	0.985018	−	0.172450i	$-0.0551683\pi$
$84$	−0.781753	−	0.0100044i	−0.0852963	−	0.00109157i
$85$	−2.31950	+	13.5485i	−0.251585	+	1.46954i
$86$	8.36383	−	2.65264i	0.901895	−	0.286041i
$87$	−0.310739	+	0.151749i	−0.0333148	+	0.0162692i
$88$	−5.51390	+	3.28620i	−0.587784	+	0.350310i
$89$	13.8788	+	9.13768i	1.47115	+	0.968592i	0.996062	+	0.0886547i	$0.0282568\pi$
$89$	13.8788	+	9.13768i	1.47115	+	0.968592i	0.475090	+	0.879937i	$0.342415\pi$
$90$	−3.69183	+	9.76352i	−0.389153	+	1.02917i
$91$	−13.3351	+	3.94926i	−1.39790	+	0.413995i
$92$	2.15673	−	3.59259i	0.224855	−	0.374553i
$93$	−0.0446906	−	0.557584i	−0.00463420	−	0.0578187i
$94$	−4.99540	−	0.159866i	−0.515237	−	0.0164890i
$95$	−14.9732	+	5.17414i	−1.53622	+	0.530856i
$96$	0.849799	+	0.528832i	0.0867322	+	0.0539737i
$97$	−3.25898	+	0.166963i	−0.330900	+	0.0169525i	−0.215907	−	0.976414i	$-0.569271\pi$
$97$	−3.25898	+	0.166963i	−0.330900	+	0.0169525i	−0.114992	+	0.993366i	$0.536684\pi$
$98$	16.2745	−	6.81750i	1.64398	−	0.688672i
$99$	−4.31772	−	8.23166i	−0.433947	−	0.827313i
$100$	0.0909589	−	0.361747i	0.00909589	−	0.0361747i
$101$	−12.3166	−	8.92446i	−1.22555	−	0.888017i	−0.229195	−	0.973380i	$-0.573610\pi$
$101$	−12.3166	−	8.92446i	−1.22555	−	0.888017i	−0.996350	+	0.0853635i	$0.972795\pi$
$102$	−1.04676	+	2.34971i	−0.103644	+	0.232656i
$103$	−6.19086	−	2.40908i	−0.610004	−	0.237374i	0.0376713	−	0.999290i	$-0.488006\pi$
$103$	−6.19086	−	2.40908i	−0.610004	−	0.237374i	−0.647675	+	0.761917i	$0.724259\pi$
$104$	6.52163	+	1.70653i	0.639498	+	0.167339i
$105$	0.102069	+	2.12535i	0.00996093	+	0.207413i
$106$	2.82294	+	6.33679i	0.274188	+	0.615484i
$107$	1.06546	−	5.04966i	0.103002	−	0.488169i	−0.896022	−	0.444009i	$-0.853556\pi$
$107$	1.06546	−	5.04966i	0.103002	−	0.488169i	0.999024	−	0.0441605i	$-0.0140613\pi$
$108$	−0.635781	+	0.907645i	−0.0611780	+	0.0873382i
$109$	3.18578	+	3.77753i	0.305142	+	0.361822i	0.895298	−	0.445467i	$-0.146962\pi$
$109$	3.18578	+	3.77753i	0.305142	+	0.361822i	−0.590156	+	0.807289i	$0.700934\pi$
$110$	−6.30886	−	9.25643i	−0.601526	−	0.882566i
$111$	2.26147	+	0.622791i	0.214649	+	0.0591127i
$112$	−20.5394	−	3.04464i	−1.94080	−	0.287691i
$113$	8.85822	+	4.32590i	0.833311	+	0.406947i	0.805449	−	0.592665i	$-0.201924\pi$
$113$	8.85822	+	4.32590i	0.833311	+	0.406947i	0.0278625	+	0.999612i	$0.491130\pi$
$114$	−2.95438	+	0.246310i	−0.276703	+	0.0230690i
$115$	−10.1162	−	5.26499i	−0.943336	−	0.490963i
$116$	1.07491	−	0.356114i	0.0998025	−	0.0330644i
$117$	−2.98098	+	9.29578i	−0.275591	+	0.859395i
$118$	4.75652	−	11.2534i	0.437873	−	1.03596i
$119$	0.260093	−	27.0992i	0.0238427	−	2.48418i
$120$	0.490728	−	0.907151i	0.0447971	−	0.0828112i
$121$	−1.01620	−	0.130754i	−0.0923815	−	0.0118868i
$122$	3.24736	−	1.96364i	0.294002	−	0.177780i
$123$	0.222798	+	0.152897i	0.0200890	+	0.0137863i
$124$	−0.0995673	+	1.82895i	−0.00894141	+	0.164244i
$125$	−11.4485	−	2.14901i	−1.02398	−	0.192213i
$126$	4.11978	−	20.1631i	0.367019	−	1.79627i
$127$	8.29980	+	19.9923i	0.736489	+	1.77403i	0.625528	+	0.780201i	$0.284883\pi$
$127$	8.29980	+	19.9923i	0.736489	+	1.77403i	0.110960	+	0.993825i	$0.464607\pi$
$128$	10.2032	+	8.43860i	0.901841	+	0.745874i
$129$	−0.148265	−	1.24670i	−0.0130540	−	0.109766i
$130$	−2.28128	+	11.5411i	−0.200081	+	1.01222i
$131$	12.0992	+	6.19904i	1.05712	+	0.541613i	0.895417	−	0.445228i	$-0.146877\pi$
$131$	12.0992	+	6.19904i	1.05712	+	0.541613i	0.161698	+	0.986840i	$0.448303\pi$
$132$	−0.201228	−	0.553482i	−0.0175147	−	0.0481744i
$133$	27.5191	−	14.7730i	2.38621	−	1.28098i
$134$	1.50633	+	3.69498i	0.130127	+	0.319198i
$135$	2.57081	+	1.57709i	0.221260	+	0.135734i
$136$	−6.90468	+	11.1749i	−0.592072	+	0.958242i
$137$	1.36032	+	2.40325i	0.116220	+	0.205324i	0.922293	−	0.386492i	$-0.126313\pi$
$137$	1.36032	+	2.40325i	0.116220	+	0.205324i	−0.806073	+	0.591816i	$0.798411\pi$
$138$	−1.59116	−	1.42228i	−0.135449	−	0.121072i
$139$	7.38048	−	14.0707i	0.626004	−	1.19346i	−0.341326	−	0.939945i	$-0.610876\pi$
$139$	7.38048	−	14.0707i	0.626004	−	1.19346i	0.967330	−	0.253520i	$-0.0815883\pi$
$140$	0.601086	−	6.94149i	0.0508011	−	0.586663i
$141$	−0.156582	+	0.697782i	−0.0131866	+	0.0587639i
$142$	−1.66659	−	4.40752i	−0.139857	−	0.369871i
$143$	−6.33540	−	8.34362i	−0.529792	−	0.697729i
$144$	−9.88556	+	10.7096i	−0.823797	+	0.892467i
$145$	−1.14513	−	2.86120i	−0.0950979	−	0.237610i
$146$	−2.38012	+	1.72461i	−0.196980	+	0.142730i
$147$	−0.521230	−	2.47032i	−0.0429903	−	0.203749i
$148$	−7.06521	−	3.01294i	−0.580756	−	0.247662i
$149$	−3.88840	−	15.0563i	−0.318550	−	1.23346i	−0.905678	−	0.423966i	$-0.860638\pi$
$149$	−3.88840	−	15.0563i	−0.318550	−	1.23346i	0.587128	−	0.809494i	$-0.300258\pi$
$150$	−0.172279	−	0.0800743i	−0.0140665	−	0.00653804i
$151$	−2.60694	+	0.938366i	−0.212149	+	0.0763632i	−0.442593	−	0.896722i	$-0.645941\pi$
$151$	−2.60694	+	0.938366i	−0.212149	+	0.0763632i	0.230444	+	0.973086i	$0.425982\pi$
$152$	−15.1196	−	0.774599i	−1.22636	−	0.0628283i
$153$	−15.6151	−	10.8637i	−1.26241	−	0.878276i
$154$	15.1864	+	16.0356i	1.22375	+	1.29219i
$155$	4.98495	−	0.0318960i	0.400401	−	0.00256194i
$156$	−0.266062	+	0.558347i	−0.0213020	+	0.0447036i
$157$	−5.66707	−	6.13947i	−0.452282	−	0.489983i	0.466626	−	0.884455i	$-0.345469\pi$
$157$	−5.66707	−	6.13947i	−0.452282	−	0.489983i	−0.918908	+	0.394472i	$0.870928\pi$
$158$	−0.660411	+	3.71448i	−0.0525395	+	0.295509i
$159$	0.966387	−	0.226621i	0.0766395	−	0.0179722i
$160$	−5.25688	+	7.20635i	−0.415593	+	0.569712i
$161$	21.3435	+	7.07106i	1.68210	+	0.557278i
$162$	−9.86776	−	10.1561i	−0.775285	−	0.797935i
$163$	−17.1734	+	4.37661i	−1.34513	+	0.342803i	−0.850350	−	0.526217i	$-0.823610\pi$
$163$	−17.1734	+	4.37661i	−1.34513	+	0.342803i	−0.494778	+	0.869020i	$0.664750\pi$
$164$	−0.655903	−	0.593879i	−0.0512174	−	0.0463742i
$165$	−1.47031	+	0.638161i	−0.114464	+	0.0496808i
$166$	−0.674941	+	30.1340i	−0.0523856	+	2.33885i
$167$	4.33930	+	23.5318i	0.335785	+	1.82095i	0.539583	+	0.841933i	$0.318582\pi$
$167$	4.33930	+	23.5318i	0.335785	+	1.82095i	−0.203797	+	0.979013i	$0.565328\pi$
$168$	−0.670286	+	1.91979i	−0.0517137	+	0.148115i
$169$	0.286594	−	1.97697i	0.0220457	−	0.152075i
$170$	−20.1979	−	10.8428i	−1.54911	−	0.831602i
$171$	2.31024	−	21.8015i	0.176668	−	1.66720i
$172$	−0.0657575	+	4.11055i	−0.00501397	+	0.313427i
$173$	−12.2907	+	2.30710i	−0.934441	+	0.175405i	−0.629531	−	0.776976i	$-0.716753\pi$
$173$	−12.2907	+	2.30710i	−0.934441	+	0.175405i	−0.304910	+	0.952381i	$0.598626\pi$
$174$	−0.0754309	−	0.571776i	−0.00571840	−	0.0433463i
$175$	2.00085	+	0.0512198i	0.151250	+	0.00387186i
$176$	−3.32696	−	15.2831i	−0.250779	−	1.15201i
$177$	−1.45390	−	0.970627i	−0.109282	−	0.0729568i
$178$	−21.8003	+	17.1097i	−1.63400	+	1.28243i
$179$	−12.3136	−	5.91605i	−0.920360	−	0.442186i	−0.0878107	−	0.996137i	$-0.527987\pi$
$179$	−12.3136	−	5.91605i	−0.920360	−	0.442186i	−0.832549	+	0.553951i	$0.813119\pi$
$180$	−3.78855	−	3.09274i	−0.282382	−	0.230519i
$181$	8.74679	+	17.4834i	0.650143	+	1.29953i	0.939579	+	0.342332i	$0.111217\pi$
$181$	8.74679	+	17.4834i	0.650143	+	1.29953i	−0.289436	+	0.957197i	$0.593468\pi$
$182$	0.816065	−	23.1801i	0.0604908	−	1.71822i
$183$	−0.188795	−	0.509115i	−0.0139561	−	0.0376349i
$184$	−7.07931	−	8.28612i	−0.521894	−	0.610861i
$185$	−7.01683	+	19.6914i	−0.515888	+	1.44774i
$186$	0.905454	+	0.224593i	0.0663911	+	0.0164680i
$187$	19.1632	−	7.03660i	1.40135	−	0.514567i
$188$	0.814191	−	2.19560i	0.0593810	−	0.160130i
$189$	−5.49909	−	2.26236i	−0.400000	−	0.164562i
$190$	−0.253567	−	26.4192i	−0.0183957	−	1.91665i
$191$	−5.46071	−	2.88660i	−0.395123	−	0.208867i	0.257956	−	0.966157i	$-0.416951\pi$
$191$	−5.46071	−	2.88660i	−0.395123	−	0.208867i	−0.653079	+	0.757289i	$0.726523\pi$
$192$	0.534971	−	0.442451i	0.0386082	−	0.0319312i
$193$	4.00338	+	3.81574i	0.288170	+	0.274663i	0.820218	−	0.572052i	$-0.193852\pi$
$193$	4.00338	+	3.81574i	0.288170	+	0.274663i	−0.532048	+	0.846714i	$0.678577\pi$
$194$	1.46175	−	5.24232i	0.104948	−	0.376377i
$195$	1.56079	+	0.630470i	0.111770	+	0.0451489i
$196$	0.607756	+	8.24476i	0.0434111	+	0.588912i
$197$	11.7255	−	3.14855i	0.835409	−	0.224325i	0.183881	−	0.982949i	$-0.441134\pi$
$197$	11.7255	−	3.14855i	0.835409	−	0.224325i	0.651529	+	0.758624i	$0.274128\pi$
$198$	15.3044	−	2.46916i	1.08763	−	0.175476i
$199$	1.58285	−	2.45511i	0.112205	−	0.174038i	−0.779847	−	0.625970i	$-0.784703\pi$
$199$	1.58285	−	2.45511i	0.112205	−	0.174038i	0.892052	+	0.451932i	$0.149265\pi$
$200$	−0.817063	−	0.523082i	−0.0577751	−	0.0369875i
$201$	0.559749	−	0.112505i	0.0394816	−	0.00793548i
$202$	20.6358	−	14.7520i	1.45193	−	1.03795i
$203$	3.12738	+	5.20945i	0.219499	+	0.365632i
$204$	−0.888213	−	0.814624i	−0.0621873	−	0.0570351i
$205$	−1.50488	+	1.88000i	−0.105106	+	0.131305i
$206$	7.08820	−	8.51478i	0.493858	−	0.593253i
$207$	12.5388	−	9.58424i	0.871507	−	0.666151i
$208$	−8.98901	+	13.7486i	−0.623276	+	0.953294i
$209$	17.7406	+	15.4538i	1.22715	+	1.06896i
$210$	−3.41518	−	0.964066i	−0.235670	−	0.0665269i
$211$	−2.52340	−	15.3285i	−0.173718	−	1.05526i	−0.920659	−	0.390368i	$-0.872348\pi$
$211$	−2.52340	−	15.3285i	−0.173718	−	1.05526i	0.746941	−	0.664890i	$-0.231522\pi$
$212$	−3.23531	+	0.311467i	−0.222202	+	0.0213916i
$213$	−0.664195	+	0.115899i	−0.0455099	+	0.00794124i
$214$	7.42155	+	4.35902i	0.507327	+	0.297977i
$215$	11.1775	−	0.500960i	0.762302	−	0.0341652i
$216$	1.71348	+	2.31761i	0.116587	+	0.157694i
$217$	−9.69273	+	1.62750i	−0.657985	+	0.110482i
$218$	−7.66099	+	3.03774i	−0.518867	+	0.205741i
$219$	0.178483	+	0.380814i	0.0120608	+	0.0257330i
$220$	5.05106	−	1.42585i	0.340542	−	0.0961311i
$221$	−19.3836	−	9.16066i	−1.30388	−	0.616213i
$222$	−2.18247	+	3.24659i	−0.146478	+	0.217897i
$223$	3.96180	−	5.35864i	0.265302	−	0.358841i	−0.651176	−	0.758926i	$-0.725724\pi$
$223$	3.96180	−	5.35864i	0.265302	−	0.358841i	0.916478	+	0.400085i	$0.131019\pi$
$224$	7.96904	−	15.6773i	0.532454	−	1.04748i
$225$	0.820682	−	1.14028i	0.0547121	−	0.0760185i
$226$	−11.5321	+	11.7180i	−0.767101	+	0.779470i
$227$	−8.97505	−	15.1693i	−0.595695	−	1.00682i	−0.995905	−	0.0904008i	$-0.971185\pi$
$227$	−8.97505	−	15.1693i	−0.595695	−	1.00682i	0.400210	−	0.916423i	$-0.368937\pi$
$228$	0.330091	−	1.34923i	0.0218608	−	0.0893550i
$229$	−0.999019	+	4.58920i	−0.0660170	+	0.303263i	−0.998287	−	0.0584990i	$-0.981369\pi$
$229$	−0.999019	+	4.58920i	−0.0660170	+	0.303263i	0.932270	+	0.361762i	$0.117825\pi$
$230$	13.6833	−	13.2101i	0.902251	−	0.871046i
$231$	2.66143	−	1.70384i	0.175109	−	0.112104i
$232$	0.00942210	−	2.94515i	0.000618591	−	0.193359i
$233$	6.03665	−	3.70325i	0.395474	−	0.242608i	−0.310906	−	0.950441i	$-0.600632\pi$
$233$	6.03665	−	3.70325i	0.395474	−	0.242608i	0.706380	+	0.707833i	$0.250327\pi$
$234$	−13.1222	−	9.63684i	−0.857824	−	0.629980i
$235$	−6.09914	−	1.84882i	−0.397864	−	0.120604i
$236$	4.29211	+	3.78742i	0.279392	+	0.246540i
$237$	0.504318	+	0.192541i	0.0327590	+	0.0125069i
$238$	42.7182	+	14.7617i	2.76901	+	0.956860i
$239$	−8.52410	−	10.5103i	−0.551378	−	0.679857i	0.422647	−	0.906294i	$-0.361101\pi$
$239$	−8.52410	−	10.5103i	−0.551378	−	0.679857i	−0.974026	+	0.226437i	$0.927292\pi$
$240$	1.71639	+	1.83576i	0.110793	+	0.118498i
$241$	17.4602	+	0.111718i	1.12471	+	0.00719638i	0.567645	−	0.823273i	$-0.307855\pi$
$241$	17.4602	+	0.111718i	1.12471	+	0.00719638i	0.557064	+	0.830470i	$0.311928\pi$
$242$	0.744908	−	1.53782i	0.0478845	−	0.0988547i
$243$	−5.24584	+	3.45381i	−0.336521	+	0.221562i
$244$	0.389307	+	1.73488i	0.0249228	+	0.111064i
$245$	22.2971	−	3.01413i	1.42451	−	0.192565i
$246$	−0.359782	+	0.271376i	−0.0229388	+	0.0173023i
$247$	−1.50100	−	24.6634i	−0.0955064	−	1.56930i
$248$	4.42853	+	1.75600i	0.281212	+	0.111506i
$249$	4.21704	+	0.903882i	0.267244	+	0.0572812i
$250$	9.46109	−	16.9671i	0.598372	−	1.07310i
$251$	−4.59712	+	15.3422i	−0.290168	+	0.968393i	0.681455	+	0.731860i	$0.261347\pi$
$251$	−4.59712	+	15.3422i	−0.290168	+	0.968393i	−0.971623	+	0.236533i	$0.923989\pi$
$252$	8.34527	+	4.83001i	0.525702	+	0.304262i
$253$	0.704194	+	16.9223i	0.0442723	+	1.06390i
$254$	−36.0118	+	2.53878i	−2.25958	+	0.159297i
$255$	−2.06615	+	2.54759i	−0.129387	+	0.159536i
$256$	−13.8083	+	8.59291i	−0.863016	+	0.537057i
$257$	19.0774	−	13.2724i	1.19002	−	0.827911i	0.201568	−	0.979475i	$-0.435396\pi$
$257$	19.0774	−	13.2724i	1.19002	−	0.827911i	0.988447	+	0.151564i	$0.0484310\pi$
$258$	2.05011	+	0.425719i	0.127634	+	0.0265041i
$259$	7.47396	−	40.5309i	0.464409	−	2.51847i
$260$	−4.78815	−	2.73050i	−0.296948	−	0.169339i
$261$	4.25788	+	0.245462i	0.263556	+	0.0151937i
$262$	−16.2106	+	15.8516i	−1.00149	+	0.979314i
$263$	0.181427	+	0.741574i	0.0111873	+	0.0457274i	0.976677	−	0.214713i	$-0.0688817\pi$
$263$	0.181427	+	0.741574i	0.0111873	+	0.0457274i	−0.965490	+	0.260441i	$0.916132\pi$
$264$	−1.53125	+	0.0391984i	−0.0942416	+	0.00241249i
$265$	1.38102	+	8.73750i	0.0848353	+	0.536740i
$266$	8.78992	+	51.3429i	0.538945	+	3.14804i
$267$	1.81939	+	3.52325i	0.111345	+	0.215620i
$268$	−1.86572	+	0.119539i	−0.113967	+	0.00730198i
$269$	−11.6644	−	13.1338i	−0.711190	−	0.800781i	0.275859	−	0.961198i	$-0.411038\pi$
$269$	−11.6644	−	13.1338i	−0.711190	−	0.800781i	−0.987049	+	0.160417i	$0.948716\pi$
$270$	−3.85546	+	3.23045i	−0.234636	+	0.196599i
$271$	−2.23308	+	0.0428694i	−0.135650	+	0.00260413i	−0.0869747	−	0.996211i	$-0.527720\pi$
$271$	−2.23308	+	0.0428694i	−0.135650	+	0.00260413i	−0.0486754	+	0.998815i	$0.515500\pi$
$272$	−20.4787	−	24.6003i	−1.24170	−	1.49161i
$273$	−3.23591	−	0.737020i	−0.195846	−	0.0446065i
$274$	−4.52097	+	0.878621i	−0.273122	+	0.0530794i
$275$	0.496984	+	1.42343i	0.0299693	+	0.0858360i
$276$	0.868612	−	0.495337i	0.0522843	−	0.0298158i
$277$	−1.28864	+	0.639550i	−0.0774270	+	0.0384268i	−0.482857	−	0.875699i	$-0.660401\pi$
$277$	−1.28864	+	0.639550i	−0.0774270	+	0.0384268i	0.405430	+	0.914126i	$0.367122\pi$
$278$	18.3438	+	19.1230i	1.10019	+	1.14692i
$279$	−2.88774	+	6.26532i	−0.172885	+	0.375095i
$280$	−16.6235	−	7.21510i	−0.993443	−	0.431185i
$281$	−4.05696	−	8.95232i	−0.242018	−	0.534051i	0.749807	−	0.661657i	$-0.230146\pi$
$281$	−4.05696	−	8.95232i	−0.242018	−	0.534051i	−0.991825	+	0.127606i	$0.959271\pi$
$282$	−1.02059	−	0.617137i	−0.0607750	−	0.0367500i
$283$	14.8135	+	11.7802i	0.880573	+	0.700260i	0.954885	−	0.296975i	$-0.0959777\pi$
$283$	14.8135	+	11.7802i	0.880573	+	0.700260i	−0.0743125	+	0.997235i	$0.523676\pi$
$284$	2.20613	−	0.0847353i	0.130910	−	0.00502812i
$285$	−3.71988	−	0.673653i	−0.220346	−	0.0399038i
$286$	16.5499	−	5.60071i	0.978616	−	0.331177i
$287$	2.33874	−	4.13183i	0.138052	−	0.243894i
$288$	−5.94277	−	10.8197i	−0.350181	−	0.637556i
$289$	16.6885	−	18.3134i	0.981678	−	1.07726i
$290$	5.13124	−	0.295810i	0.301317	−	0.0173706i
$291$	−0.697532	−	0.346184i	−0.0408901	−	0.0202937i
$292$	−0.412128	−	1.31402i	−0.0241180	−	0.0768973i
$293$	−26.2353	+	6.86507i	−1.53268	+	0.401061i	−0.920847	−	0.389923i	$-0.872502\pi$
$293$	−26.2353	+	6.86507i	−1.53268	+	0.401061i	−0.611836	+	0.790985i	$0.709569\pi$
$294$	4.18270	+	0.483864i	0.243940	+	0.0282195i
$295$	9.57924	−	12.2861i	0.557725	−	0.715322i
$296$	−13.2657	+	14.9368i	−0.771051	+	0.868182i
$297$	0.128950	−	4.47736i	0.00748246	−	0.259803i
$298$	25.8698	+	1.82378i	1.49860	+	0.105649i
$299$	12.1481	−	12.9929i	0.702543	−	0.751401i
$300$	0.0612057	−	0.0646284i	0.00353371	−	0.00373132i
$301$	−21.5987	+	4.48513i	−1.24493	+	0.258519i
$302$	−0.103471	−	4.61964i	−0.00595407	−	0.265830i
$303$	−1.51929	−	3.29629i	−0.0872811	−	0.189367i
$304$	13.4880	−	34.3361i	0.773590	−	1.96931i
$305$	4.64859	−	1.34441i	0.266177	−	0.0769809i
$306$	25.4493	−	18.9416i	1.45484	−	1.08282i
$307$	11.1494	−	11.0429i	0.636328	−	0.630250i	−0.311040	−	0.950397i	$-0.600677\pi$
$307$	11.1494	−	11.0429i	0.636328	−	0.630250i	0.947368	+	0.320147i	$0.103732\pi$
$308$	−9.38365	+	4.36146i	−0.534683	+	0.248517i
$309$	−1.00640	−	1.22480i	−0.0572522	−	0.0696767i
$310$	−2.58934	+	7.90032i	−0.147065	+	0.448708i
$311$	−4.81113	+	3.21191i	−0.272814	+	0.182131i	−0.684126	−	0.729364i	$-0.739816\pi$
$311$	−4.81113	+	3.21191i	−0.272814	+	0.182131i	0.411312	+	0.911495i	$0.365071\pi$
$312$	1.15733	+	1.11730i	0.0655210	+	0.0632549i
$313$	−25.4173	−	5.10867i	−1.43667	−	0.288759i	−0.584232	−	0.811587i	$-0.698604\pi$
$313$	−25.4173	−	5.10867i	−1.43667	−	0.288759i	−0.852438	+	0.522828i	$0.824877\pi$
$314$	12.7102	−	5.71101i	0.717280	−	0.322291i
$315$	11.7414	−	23.4692i	0.661555	−	1.32234i
$316$	−1.55204	−	0.846013i	−0.0873090	−	0.0475920i
$317$	−11.1014	+	5.59843i	−0.623519	+	0.314439i	−0.733701	−	0.679472i	$-0.762209\pi$
$317$	−11.1014	+	5.59843i	−0.623519	+	0.314439i	0.110182	+	0.993911i	$0.464856\pi$
$318$	−0.153363	+	1.64830i	−0.00860016	+	0.0924318i
$319$	−2.83733	+	3.59145i	−0.158860	+	0.201083i
$320$	3.58191	+	5.04457i	0.200235	+	0.282000i
$321$	0.811885	−	0.926026i	0.0453150	−	0.0516857i
$322$	−22.4850	+	30.0091i	−1.25304	+	1.67234i
$323$	46.8053	+	11.2924i	2.60432	+	0.628326i
$324$	5.98020	−	2.87318i	0.332233	−	0.159621i
$325$	0.699373	−	1.42058i	0.0387943	−	0.0787993i
$326$	2.17284	−	29.4765i	0.120342	−	1.63255i
$327$	0.221258	+	1.15826i	0.0122356	+	0.0640520i
$328$	−2.00637	+	1.12721i	−0.110783	+	0.0622396i
$329$	12.4520	+	1.68326i	0.686500	+	0.0928011i
$330$	−0.230612	−	2.66316i	−0.0126948	−	0.146602i
$331$	−32.4073	−	13.5756i	−1.78127	−	0.746185i	−0.991071	−	0.133333i	$-0.957432\pi$
$331$	−32.4073	−	13.5756i	−1.78127	−	0.746185i	−0.790197	−	0.612852i	$-0.790022\pi$
$332$	−13.2877	−	4.78289i	−0.729256	−	0.262495i
$333$	−20.5540	−	20.3576i	−1.12635	−	1.11559i
$334$	−39.5121	−	5.59891i	−2.16201	−	0.306359i
$335$	0.633196	+	5.04863i	0.0345952	+	0.275836i
$336$	−3.91728	−	3.03414i	−0.213705	−	0.165526i
$337$	−8.55824	+	13.6550i	−0.466197	+	0.743834i	−0.994445	−	0.105256i	$-0.966434\pi$
$337$	−8.55824	+	13.6550i	−0.466197	+	0.743834i	0.528248	+	0.849090i	$0.322849\pi$
$338$	2.97471	+	1.50014i	0.161803	+	0.0815969i
$339$	1.33729	+	1.93536i	0.0726316	+	0.105114i
$340$	7.82210	−	7.36053i	0.424213	−	0.399181i
$341$	−3.72909	−	6.39581i	−0.201942	−	0.346353i
$342$	33.2545	+	15.1985i	1.79820	+	0.821842i
$343$	−14.3649	+	4.35441i	−0.775632	+	0.235116i
$344$	10.0836	+	3.55688i	0.543672	+	0.191774i
$345$	−1.48923	−	2.27777i	−0.0801776	−	0.122631i
$346$	2.85997	−	20.6587i	0.153753	−	1.11062i
$347$	3.76348	+	1.66216i	0.202034	+	0.0892295i	0.502553	−	0.864546i	$-0.332394\pi$
$347$	3.76348	+	1.66216i	0.202034	+	0.0892295i	−0.300519	+	0.953776i	$0.597160\pi$
$348$	0.265253	+	0.0515502i	0.0142191	+	0.00276338i
$349$	−4.36324	−	30.0984i	−0.233559	−	1.61113i	−0.691656	−	0.722227i	$-0.743119\pi$
$349$	−4.36324	−	30.0984i	−0.233559	−	1.61113i	0.458097	−	0.888902i	$-0.348531\pi$
$350$	−1.14055	+	3.13711i	−0.0609651	+	0.167686i
$351$	−3.44642	+	3.20172i	−0.183956	+	0.170895i
$352$	13.1692	+	1.43812i	0.701922	+	0.0766520i
$353$	4.91265	+	4.92839i	0.261474	+	0.262312i	0.826724	−	0.562608i	$-0.190202\pi$
$353$	4.91265	+	4.92839i	0.261474	+	0.262312i	−0.565250	+	0.824920i	$0.691220\pi$
$354$	2.30491	−	1.78527i	0.122505	−	0.0948862i
$355$	−0.594930	−	5.97914i	−0.0315756	−	0.317340i
$356$	−4.35838	−	12.2309i	−0.230994	−	0.648239i
$357$	3.22155	−	5.60747i	0.170502	−	0.296779i
$358$	15.8766	−	16.3404i	0.839102	−	0.863617i
$359$	−8.47562	+	4.41117i	−0.447326	+	0.232813i	−0.670416	−	0.741985i	$-0.733884\pi$
$359$	−8.47562	+	4.41117i	−0.447326	+	0.232813i	0.223090	+	0.974798i	$0.428386\pi$
$360$	−10.7564	+	6.78962i	−0.566914	+	0.357844i
$361$	9.57619	+	35.2126i	0.504010	+	1.85329i
$362$	−32.2809	+	4.57423i	−1.69664	+	0.240416i
$363$	−0.196132	−	0.145979i	−0.0102943	−	0.00766191i
$364$	10.1771	+	3.81106i	0.533427	+	0.199754i
$365$	−3.50152	+	1.33683i	−0.183278	+	0.0699728i
$366$	0.905115	−	0.0289661i	0.0473111	−	0.00151408i
$367$	1.72365	+	15.3293i	0.0899736	+	0.800181i	0.954625	+	0.297809i	$0.0962560\pi$
$367$	1.72365	+	15.3293i	0.0899736	+	0.800181i	−0.864652	+	0.502372i	$0.832461\pi$
$368$	24.6234	−	9.94646i	1.28358	−	0.518495i
$369$	−1.47198	−	2.98990i	−0.0766280	−	0.155648i
$370$	−27.4251	−	21.5243i	−1.42576	−	1.11900i
$371$	−5.43184	−	16.5730i	−0.282007	−	0.860429i
$372$	−0.234487	+	0.368867i	−0.0121576	+	0.0191249i
$373$	−0.730313	+	17.5500i	−0.0378141	+	0.908703i	0.870945	+	0.491381i	$0.163508\pi$
$373$	−0.730313	+	17.5500i	−0.0378141	+	0.908703i	−0.908759	+	0.417322i	$0.862969\pi$
$374$	0.980133	+	34.0317i	0.0506815	+	1.75974i
$375$	−2.13062	−	1.78523i	−0.110025	−	0.0921886i
$376$	−4.74263	−	3.82129i	−0.244583	−	0.197068i
$377$	4.77842	−	0.521818i	0.246101	−	0.0268750i
$378$	6.48984	−	7.49848i	0.333801	−	0.385680i
$379$	7.57000	+	2.34767i	0.388845	+	0.120592i	0.484431	−	0.874829i	$-0.339027\pi$
$379$	7.57000	+	2.34767i	0.388845	+	0.120592i	−0.0955865	+	0.995421i	$0.530473\pi$
$380$	11.7754	+	3.81773i	0.604065	+	0.195845i
$381$	−0.610018	+	5.12941i	−0.0312522	+	0.262788i
$382$	7.45673	−	7.10722i	0.381519	−	0.363637i
$383$	7.79904	+	14.6402i	0.398512	+	0.748081i	0.998657	−	0.0518109i	$-0.0164993\pi$
$383$	7.79904	+	14.6402i	0.398512	+	0.748081i	−0.600145	+	0.799891i	$0.704890\pi$
$384$	1.13640	+	2.94819i	0.0579915	+	0.150449i
$385$	13.3997	+	24.7704i	0.682911	+	1.26242i
$386$	−8.15437	+	4.31051i	−0.415047	+	0.219399i
$387$	−5.93693	+	14.3007i	−0.301791	+	0.726943i
$388$	2.11162	+	1.42933i	0.107201	+	0.0725634i
$389$	−25.5337	−	9.37582i	−1.29461	−	0.475373i	−0.397671	−	0.917528i	$-0.630181\pi$
$389$	−25.5337	−	9.37582i	−1.29461	−	0.475373i	−0.896938	+	0.442155i	$0.854214\pi$
$390$	−1.82357	+	2.13443i	−0.0923400	+	0.108081i
$391$	17.2663	+	30.0540i	0.873194	+	1.51989i
$392$	20.8361	+	5.31003i	1.05238	+	0.268197i
$393$	1.79263	+	2.70388i	0.0904263	+	0.136393i
$394$	−1.23000	+	20.2106i	−0.0619667	+	1.01820i
$395$	−2.04167	+	4.35612i	−0.102728	+	0.219180i
$396$	−1.17981	+	7.16683i	−0.0592879	+	0.360147i
$397$	0.349440	−	5.19351i	0.0175379	−	0.260655i	−0.980427	−	0.196885i	$-0.936918\pi$
$397$	0.349440	−	5.19351i	0.0175379	−	0.260655i	0.997965	−	0.0637705i	$-0.0203126\pi$
$398$	3.04442	+	3.80329i	0.152603	+	0.190642i
$399$	7.45193	+	0.143058i	0.373063	+	0.00716186i
$400$	1.84081	−	1.48320i	0.0920407	−	0.0741601i
$401$	−14.3648	+	14.4108i	−0.717345	+	0.719643i	−0.968695	−	0.248253i	$-0.920144\pi$
$401$	−14.3648	+	14.4108i	−0.717345	+	0.719643i	0.251351	+	0.967896i	$0.419125\pi$
$402$	−0.118495	+	0.944789i	−0.00590999	+	0.0471218i
$403$	−2.04041	+	7.50280i	−0.101640	+	0.373741i
$404$	3.48413	+	11.3628i	0.173342	+	0.565322i
$405$	−8.79395	−	15.7707i	−0.436975	−	0.783653i
$406$	−9.89457	+	2.18712i	−0.491060	+	0.108545i
$407$	30.5490	−	5.53228i	1.51426	−	0.274225i
$408$	−2.74265	+	1.51785i	−0.135781	+	0.0751450i
$409$	2.48985	+	2.76763i	0.123115	+	0.136851i	0.801832	−	0.597549i	$-0.203859\pi$
$409$	2.48985	+	2.76763i	0.123115	+	0.136851i	−0.678717	+	0.734400i	$0.737464\pi$
$410$	−2.17621	−	3.37545i	−0.107475	−	0.166702i
$411$	0.00210821	+	0.658984i	0.000103991	+	0.0325053i
$412$	2.72848	+	4.41592i	0.134422	+	0.217557i
$413$	−14.7869	+	26.9218i	−0.727617	+	1.32473i
$414$	8.51702	+	24.9048i	0.418589	+	1.22400i
$415$	−10.7963	+	36.8879i	−0.529970	+	1.81075i
$416$	−8.62463	−	10.9169i	−0.422857	−	0.535246i
$417$	3.18011	−	2.06470i	0.155731	−	0.101109i
$418$	−33.8340	+	19.8723i	−1.65487	+	0.971984i
$419$	−25.4029	+	21.5630i	−1.24101	+	1.05342i	−0.244529	+	0.969642i	$0.578633\pi$
$419$	−25.4029	+	21.5630i	−1.24101	+	1.05342i	−0.996484	+	0.0837777i	$0.973301\pi$
$420$	0.936396	−	1.37389i	0.0456914	−	0.0670390i
$421$	−0.592124	+	0.0608306i	−0.0288584	+	0.00296470i	−0.116613	−	0.993177i	$-0.537204\pi$
$421$	−0.592124	+	0.0608306i	−0.0288584	+	0.00296470i	0.0877550	+	0.996142i	$0.472031\pi$
$422$	25.5775	+	4.12660i	1.24509	+	0.200880i
$423$	5.89882	−	6.55693i	0.286810	−	0.318809i
$424$	−1.90371	+	8.23651i	−0.0924522	+	0.400000i
$425$	2.24701	+	2.11442i	0.108996	+	0.102564i
$426$	0.168437	−	1.11176i	0.00816081	−	0.0538650i
$427$	−8.62586	+	4.07656i	−0.417435	+	0.197279i
$428$	−3.04075	+	2.64879i	−0.146980	+	0.128034i
$429$	−0.342824	−	2.47635i	−0.0165517	−	0.119560i
$430$	−5.12683	+	17.9420i	−0.247238	+	0.865238i
$431$	3.49841	+	17.6987i	0.168513	+	0.852514i	0.967830	+	0.251605i	$0.0809584\pi$
$431$	3.49841	+	17.6987i	0.168513	+	0.852514i	−0.799317	+	0.600909i	$0.794805\pi$
$432$	−6.68085	+	2.16602i	−0.321433	+	0.104212i
$433$	−35.5039	+	0.454358i	−1.70621	+	0.0218350i	−0.859779	−	0.510667i	$-0.829399\pi$
$433$	−35.5039	+	0.454358i	−1.70621	+	0.0218350i	−0.846429	+	0.532502i	$0.821252\pi$
$434$	2.55899	−	16.1904i	0.122836	−	0.777162i
$435$	0.0961864	−	0.729106i	0.00461179	−	0.0349580i
$436$	−0.209897	−	3.85558i	−0.0100522	−	0.184649i
$437$	−20.7795	+	34.1170i	−0.994020	+	1.63204i
$438$	−0.696752	+	0.0806019i	−0.0332921	+	0.00385131i
$439$	−9.13279	+	3.55389i	−0.435884	+	0.169618i	−0.570531	−	0.821276i	$-0.693263\pi$
$439$	−9.13279	+	3.55389i	−0.435884	+	0.169618i	0.134647	+	0.990894i	$0.457010\pi$
$440$	0.654816	−	13.6350i	0.0312171	−	0.650025i
$441$	−9.31835	+	29.7105i	−0.443731	+	1.41478i
$442$	24.7517	−	25.8031i	1.17732	−	1.22733i
$443$	−3.30484	−	8.41305i	−0.157017	−	0.399716i	0.830543	−	0.556954i	$-0.188030\pi$
$443$	−3.30484	−	8.41305i	−0.157017	−	0.399716i	−0.987561	+	0.157238i	$0.949741\pi$
$444$	−1.11772	−	1.45263i	−0.0530448	−	0.0689389i
$445$	−32.5058	+	13.8620i	−1.54092	+	0.657124i
$446$	6.37643	+	9.10304i	0.301933	+	0.431041i
$447$	0.950861	−	3.58688i	0.0449742	−	0.169654i
$448$	−8.55600	−	8.69396i	−0.404233	−	0.410751i
$449$	−27.6260	+	4.27592i	−1.30375	+	0.201793i	−0.766836	−	0.641843i	$-0.778170\pi$
$449$	−27.6260	+	4.27592i	−1.30375	+	0.201793i	−0.536914	+	0.843637i	$0.680410\pi$
$450$	1.36869	+	1.90170i	0.0645208	+	0.0896469i
$451$	3.53435	+	0.547043i	0.166426	+	0.0257592i
$452$	−3.49051	−	6.86680i	−0.164180	−	0.322987i
$453$	−0.652041	−	0.109484i	−0.0306356	−	0.00514399i
$454$	28.7422	−	6.16062i	1.34894	−	0.289132i
$455$	8.67048	−	28.2772i	0.406478	−	1.32565i
$456$	−3.05502	−	1.92837i	−0.143064	−	0.0903043i
$457$	−18.0445	−	1.50439i	−0.844086	−	0.0703723i	−0.346779	−	0.937947i	$-0.612725\pi$
$457$	−18.0445	−	1.50439i	−0.844086	−	0.0703723i	−0.497307	+	0.867575i	$0.665678\pi$
$458$	−6.72854	−	4.01011i	−0.314404	−	0.187380i
$459$	−3.99606	−	8.24962i	−0.186520	−	0.385059i
$460$	3.83336	+	8.04454i	0.178732	+	0.375079i
$461$	−9.78764	+	24.4552i	−0.455856	+	1.13899i	0.505289	+	0.862950i	$0.331386\pi$
$461$	−9.78764	+	24.4552i	−0.455856	+	1.13899i	−0.961145	+	0.276043i	$0.910977\pi$
$462$	1.28517	+	5.11117i	0.0597915	+	0.237793i
$463$	14.7497	−	13.1842i	0.685477	−	0.612721i	−0.249101	−	0.968477i	$-0.580135\pi$
$463$	14.7497	−	13.1842i	0.685477	−	0.612721i	0.934579	+	0.355757i	$0.115777\pi$
$464$	6.79782	+	2.30048i	0.315581	+	0.106797i
$465$	1.04083	+	0.576021i	0.0482672	+	0.0267123i
$466$	2.65978	+	11.5077i	0.123212	+	0.533083i
$467$	−6.68345	+	11.4629i	−0.309273	+	0.530439i	−0.976802	−	0.214145i	$-0.931303\pi$
$467$	−6.68345	+	11.4629i	−0.309273	+	0.530439i	0.667528	+	0.744584i	$0.267352\pi$
$468$	6.23368	−	4.39632i	0.288152	−	0.203220i
$469$	−2.81787	−	9.62784i	−0.130117	−	0.444572i
$470$	6.15362	−	8.66642i	0.283845	−	0.399752i
$471$	−0.461411	−	1.93967i	−0.0212607	−	0.0893755i
$472$	12.8856	−	7.45784i	0.593108	−	0.343275i
$473$	−8.91459	−	14.0233i	−0.409893	−	0.644794i
$474$	−0.571556	+	0.695592i	−0.0262524	+	0.0319496i
$475$	−0.889187	+	3.44303i	−0.0407987	+	0.157977i
$476$	−12.9136	+	16.7829i	−0.591893	+	0.769244i
$477$	−11.7599	−	3.40108i	−0.538450	−	0.155725i
$478$	21.1355	−	7.91465i	0.966714	−	0.362008i
$479$	−0.818591	+	0.722337i	−0.0374024	+	0.0330044i	−0.680143	−	0.733079i	$-0.738082\pi$
$479$	−0.818591	+	0.722337i	−0.0374024	+	0.0330044i	0.642741	+	0.766084i	$0.277797\pi$
$480$	−1.93597	+	0.884809i	−0.0883646	+	0.0403858i
$481$	−26.6449	−	18.7914i	−1.21490	−	0.856814i
$482$	−9.42272	+	27.5531i	−0.429193	+	1.25501i
$483$	3.61393	+	3.96580i	0.164440	+	0.180450i
$484$	0.572410	+	0.559732i	0.0260186	+	0.0254424i
$485$	3.53379	−	5.97270i	0.160461	−	0.271206i
$486$	−2.68407	−	10.1250i	−0.121752	−	0.459279i
$487$	4.38335	−	5.19755i	0.198629	−	0.235524i	−0.656003	−	0.754758i	$-0.727754\pi$
$487$	4.38335	−	5.19755i	0.198629	−	0.235524i	0.854632	+	0.519234i	$0.173783\pi$
$488$	4.60027	+	0.472599i	0.208244	+	0.0213935i
$489$	−4.08441	−	1.09675i	−0.184703	−	0.0495967i
$490$	−7.04078	+	36.8578i	−0.318070	+	1.66507i
$491$	0.369839	+	1.10448i	0.0166906	+	0.0498447i	0.956268	−	0.292492i	$-0.0944844\pi$
$491$	0.369839	+	1.10448i	0.0166906	+	0.0498447i	−0.939577	+	0.342336i	$0.888782\pi$
$492$	−0.0670434	−	0.200218i	−0.00302255	−	0.00902652i
$493$	−1.75748	+	9.20025i	−0.0791530	+	0.414359i
$494$	39.7987	+	10.6868i	1.79063	+	0.480821i
$495$	19.6644	+	2.02018i	0.883848	+	0.0908002i
$496$	−7.48386	+	8.87398i	−0.336035	+	0.398453i
$497$	3.03559	+	11.4510i	0.136165	+	0.513648i
$498$	−3.66257	+	6.19036i	−0.164124	+	0.277397i
$499$	29.9897	+	29.3255i	1.34252	+	1.31279i	0.911990	+	0.410213i	$0.134546\pi$
$499$	29.9897	+	29.3255i	1.34252	+	1.31279i	0.430532	+	0.902575i	$0.358326\pi$
$500$	6.13071	+	6.72761i	0.274174	+	0.300868i
$501$	−1.84770	+	5.40288i	−0.0825489	+	0.241383i
$502$	−21.8285	−	15.3946i	−0.974253	−	0.687094i
$503$	−10.4822	+	4.79072i	−0.467376	+	0.213608i	−0.635412	−	0.772173i	$-0.719170\pi$
$503$	−10.4822	+	4.79072i	−0.467376	+	0.213608i	0.168036	+	0.985781i	$0.446257\pi$
$504$	18.8043	−	16.5932i	0.837609	−	0.739119i
$505$	30.2921	−	11.3435i	1.34798	−	0.504781i
$506$	−27.1347	−	7.84759i	−1.20628	−	0.348868i
$507$	0.290699	−	0.377803i	0.0129104	−	0.0167788i
$508$	4.22953	−	16.3772i	0.187655	−	0.726621i
$509$	2.53129	−	3.08062i	0.112197	−	0.136546i	−0.713509	−	0.700646i	$-0.752895\pi$
$509$	2.53129	−	3.08062i	0.112197	−	0.136546i	0.825706	+	0.564100i	$0.190777\pi$
$510$	−2.93474	−	4.61658i	−0.129953	−	0.204425i
$511$	6.39557	−	3.70158i	0.282923	−	0.163748i
$512$	−0.148669	−	0.624975i	−0.00657032	−	0.0276203i
$513$	6.11633	−	8.61391i	0.270043	−	0.380313i
$514$	10.8872	+	37.1983i	0.480212	+	1.64075i
$515$	11.5451	−	8.14223i	0.508739	−	0.358789i
$516$	−0.494134	+	0.847497i	−0.0217531	+	0.0373090i
$517$	2.13149	+	9.22203i	0.0937428	+	0.405584i
$518$	60.1395	+	33.2828i	2.64238	+	1.46236i
$519$	−2.82668	−	0.956587i	−0.124077	−	0.0419895i
$520$	−10.6886	+	9.55409i	−0.468725	+	0.418975i
$521$	−8.78255	−	34.9285i	−0.384771	−	1.53025i	−0.788306	−	0.615283i	$-0.789042\pi$
$521$	−8.78255	−	34.9285i	−0.384771	−	1.53025i	0.403536	−	0.914964i	$-0.367781\pi$
$522$	−2.64295	+	6.60362i	−0.115679	+	0.289032i
$523$	15.7564	+	33.0657i	0.688979	+	1.44586i	0.885155	+	0.465295i	$0.154052\pi$
$523$	15.7564	+	33.0657i	0.688979	+	1.44586i	−0.196176	+	0.980569i	$0.562852\pi$
$524$	−4.63097	−	9.56036i	−0.202305	−	0.417646i
$525$	0.410282	+	0.244522i	0.0179062	+	0.0106718i
$526$	−1.26883	−	0.105784i	−0.0553238	−	0.00461240i
$527$	−12.8121	−	8.08719i	−0.558105	−	0.352283i
$528$	1.09417	−	3.56844i	0.0476178	−	0.155297i
$529$	−5.62896	+	1.20651i	−0.244737	+	0.0524572i
$530$	−14.5492	−	2.44294i	−0.631977	−	0.106115i
$531$	9.76952	+	19.2193i	0.423961	+	0.834048i
$532$	−24.1186	−	3.73305i	−1.04567	−	0.161848i
$533$	−2.19410	−	3.04854i	−0.0950369	−	0.132047i
$534$	−6.53529	+	1.01153i	−0.282810	+	0.0437730i
$535$	7.69840	+	7.82254i	0.332831	+	0.338198i
$536$	−1.24599	+	4.70017i	−0.0538184	+	0.203016i
$537$	−1.87030	−	2.67006i	−0.0807094	−	0.115221i
$538$	26.9472	−	11.4916i	1.16178	−	0.495438i
$539$	−20.3775	−	26.4833i	−0.877722	−	1.14072i
$540$	−0.861662	−	2.19351i	−0.0370800	−	0.0943938i
$541$	1.26779	−	1.32164i	0.0545065	−	0.0568219i	−0.693844	−	0.720125i	$-0.744084\pi$
$541$	1.26779	−	1.32164i	0.0545065	−	0.0568219i	0.748351	+	0.663303i	$0.230846\pi$
$542$	1.11473	−	3.55420i	0.0478820	−	0.152666i
$543$	−0.223780	+	4.65969i	−0.00960330	+	0.199967i
$544$	25.2649	−	9.83145i	1.08322	−	0.421520i
$545$	−10.4393	+	1.20765i	−0.447171	+	0.0517298i
$546$	2.87913	−	4.72713i	0.123216	−	0.202302i
$547$	1.19879	+	22.0206i	0.0512567	+	0.941532i	0.906210	+	0.422827i	$0.138962\pi$
$547$	1.19879	+	22.0206i	0.0512567	+	0.941532i	−0.854953	+	0.518705i	$0.826414\pi$
$548$	0.282226	−	2.13931i	0.0120561	−	0.0913868i
$549$	−1.04549	+	6.61468i	−0.0446205	+	0.282307i
$550$	−2.51425	+	0.0321759i	−0.107208	+	0.00137199i
$551$	−10.2689	+	3.32931i	−0.437471	+	0.141834i
$552$	−0.504313	−	2.55134i	−0.0214650	−	0.108592i
$553$	2.60598	−	9.11992i	0.110817	−	0.387819i
$554$	−0.329013	−	2.37659i	−0.0139784	−	0.100972i
$555$	−3.76141	+	3.27656i	−0.159663	+	0.139082i
$556$	−11.2250	+	5.30493i	−0.476048	+	0.224979i
$557$	0.157563	−	1.03998i	0.00667614	−	0.0440655i	−0.985133	−	0.171791i	$-0.945045\pi$
$557$	0.157563	−	1.03998i	0.00667614	−	0.0440655i	0.991810	+	0.127725i	$0.0407676\pi$
$558$	−8.37905	−	7.88461i	−0.354713	−	0.333782i
$559$	−3.92993	+	17.0031i	−0.166218	+	0.719154i
$560$	29.5331	−	32.8280i	1.24800	−	1.38724i
$561$	4.80927	+	0.775915i	0.203048	+	0.0327592i
$562$	16.3060	−	1.67516i	0.687826	−	0.0706623i
$563$	18.6112	−	27.3066i	0.784370	−	1.15084i	−0.200863	−	0.979619i	$-0.564375\pi$
$563$	18.6112	−	27.3066i	0.784370	−	1.15084i	0.985233	−	0.171217i	$-0.0547701\pi$
$564$	0.426017	−	0.361620i	0.0179386	−	0.0152269i
$565$	−18.0772	+	10.6176i	−0.760512	+	0.446684i
$566$	−26.4743	+	17.1886i	−1.11280	+	0.722490i
$567$	22.0691	+	27.9347i	0.926813	+	1.17315i
$568$	1.61295	−	5.51099i	0.0676780	−	0.231236i
$569$	11.8001	+	34.5049i	0.494686	+	1.44652i	0.857414	+	0.514627i	$0.172069\pi$
$569$	11.8001	+	34.5049i	0.494686	+	1.44652i	−0.362728	+	0.931895i	$0.618155\pi$
$570$	3.03521	−	5.52605i	0.127131	−	0.231461i
$571$	−20.2992	−	32.8533i	−0.849493	−	1.37487i	−0.925891	−	0.377790i	$-0.876684\pi$
$571$	−20.2992	−	32.8533i	−0.849493	−	1.37487i	0.0763979	−	0.997077i	$-0.475658\pi$
$572$	0.0261888	+	8.18608i	0.00109501	+	0.342277i
$573$	−0.798683	−	1.23881i	−0.0333654	−	0.0517520i
$574$	5.29578	+	5.88660i	0.221041	+	0.245702i
$575$	−2.23975	+	1.23954i	−0.0934041	+	0.0516923i
$576$	−8.42498	+	1.52573i	−0.351041	+	0.0635719i
$577$	25.4081	−	5.61626i	1.05775	−	0.233808i	0.347446	−	0.937700i	$-0.387049\pi$
$577$	25.4081	−	5.61626i	1.05775	−	0.233808i	0.710307	+	0.703892i	$0.248556\pi$
$578$	20.1242	+	36.0898i	0.837055	+	1.50114i
$579$	0.386892	+	1.26178i	0.0160787	+	0.0524376i
$580$	−0.631949	+	2.32374i	−0.0262402	+	0.0964879i
$581$	9.43017	−	75.1891i	0.391229	−	3.11937i
$582$	0.916850	−	0.919788i	0.0380046	−	0.0381264i
$583$	10.2301	−	8.24267i	0.423686	−	0.341377i
$584$	−3.58115	−	0.0687488i	−0.148189	−	0.00284484i
$585$	−12.9736	−	16.2075i	−0.536392	−	0.670098i
$586$	3.03620	−	45.1251i	0.125424	−	1.86410i
$587$	−4.10443	+	24.9325i	−0.169408	+	1.02908i	0.757238	+	0.653140i	$0.226548\pi$
$587$	−4.10443	+	24.9325i	−0.169408	+	1.02908i	−0.926646	+	0.375936i	$0.877321\pi$
$588$	−0.837232	+	1.78632i	−0.0345269	+	0.0736667i
$589$	1.06075	−	17.4295i	0.0437073	−	0.718170i
$590$	14.3570	+	21.6551i	0.591070	+	0.891528i
$591$	2.80746	+	0.715474i	0.115483	+	0.0294307i
$592$	−24.2493	−	42.2086i	−0.996639	−	1.73476i
$593$	−21.4186	+	25.0698i	−0.879556	+	1.02949i	0.119770	+	0.992802i	$0.461784\pi$
$593$	−21.4186	+	25.0698i	−0.879556	+	1.02949i	−0.999327	+	0.0366931i	$0.988318\pi$
$594$	7.01241	+	2.57492i	0.287723	+	0.105650i
$595$	47.7273	+	32.3061i	1.95663	+	1.32442i
$596$	−4.65892	+	11.2222i	−0.190837	+	0.459681i
$597$	0.616265	−	0.325766i	0.0252221	−	0.0133327i
$598$	14.1146	+	26.0920i	0.577189	+	1.06698i
$599$	−13.6410	−	35.3893i	−0.557356	−	1.44597i	−0.868541	−	0.495617i	$-0.834942\pi$
$599$	−13.6410	−	35.3893i	−0.557356	−	1.44597i	0.311185	−	0.950349i	$-0.399274\pi$
$600$	−0.108847	−	0.204326i	−0.00444366	−	0.00834157i
$601$	−31.3776	+	29.9068i	−1.27992	+	1.21993i	−0.317529	+	0.948249i	$0.602853\pi$
$601$	−31.3776	+	29.9068i	−1.27992	+	1.21993i	−0.962389	+	0.271676i	$0.912422\pi$
$602$	4.34462	−	36.5323i	0.177074	−	1.48895i
$603$	−6.69825	−	2.17166i	−0.272774	−	0.0884367i
$604$	2.06783	+	0.641292i	0.0841388	+	0.0260938i
$605$	1.42593	−	1.64754i	0.0579721	−	0.0669821i
$606$	6.01745	−	0.657124i	0.244442	−	0.0266938i
$607$	−15.6437	−	12.6046i	−0.634956	−	0.511604i	0.255419	−	0.966830i	$-0.417786\pi$
$607$	−15.6437	−	12.6046i	−0.634956	−	0.511604i	−0.890376	+	0.455226i	$0.849558\pi$
$608$	23.9494	+	20.0669i	0.971277	+	0.813822i
$609$	0.0417419	+	1.44934i	0.00169147	+	0.0587303i
$610$	−0.335546	+	8.06343i	−0.0135859	+	0.326479i
$611$	5.33278	−	8.38888i	0.215741	−	0.339378i
$612$	4.62939	+	14.1247i	0.187132	+	0.570957i
$613$	−10.8848	−	8.54286i	−0.439634	−	0.345043i	0.372986	−	0.927837i	$-0.378334\pi$
$613$	−10.8848	−	8.54286i	−0.439634	−	0.345043i	−0.812620	+	0.582794i	$0.801959\pi$
$614$	11.5595	+	23.4799i	0.466505	+	0.947571i
$615$	−0.532825	+	0.215231i	−0.0214856	+	0.00867896i
$616$	3.00724	+	26.7449i	0.121165	+	1.07758i
$617$	−5.67494	+	0.181614i	−0.228465	+	0.00731148i	−0.146009	−	0.989283i	$-0.546643\pi$
$617$	−5.67494	+	0.181614i	−0.228465	+	0.00731148i	−0.0824556	+	0.996595i	$0.526276\pi$
$618$	2.46990	−	0.942973i	0.0993541	−	0.0379319i
$619$	−30.5668	−	11.4464i	−1.22858	−	0.460070i	−0.349588	−	0.936904i	$-0.613678\pi$
$619$	−30.5668	−	11.4464i	−1.22858	−	0.460070i	−0.878993	+	0.476834i	$0.841784\pi$
$620$	−3.12478	−	2.32573i	−0.125494	−	0.0934038i
$621$	7.52991	−	1.06700i	0.302165	−	0.0428170i
$622$	−2.53173	−	9.30941i	−0.101513	−	0.373273i
$623$	58.9165	−	37.1889i	2.36044	−	1.48994i
$624$	−3.47710	+	1.80967i	−0.139196	+	0.0724449i
$625$	15.5993	−	16.0550i	0.623972	−	0.642201i
$626$	21.5388	−	37.4908i	0.860864	−	1.49843i
$627$	1.88457	+	5.28868i	0.0752625	+	0.211210i
$628$	0.646416	+	6.49659i	0.0257948	+	0.259242i
$629$	50.2290	−	38.9050i	2.00276	−	1.55124i
$630$	30.8976	+	30.9966i	1.23099	+	1.23493i
$631$	−32.5015	−	3.54927i	−1.29387	−	0.141294i	−0.564509	−	0.825427i	$-0.690934\pi$
$631$	−32.5015	−	3.54927i	−1.29387	−	0.141294i	−0.729357	+	0.684133i	$0.760181\pi$
$632$	−3.36829	+	3.12914i	−0.133983	+	0.124470i
$633$	1.26666	−	3.48397i	0.0503452	−	0.138476i
$634$	−2.97484	−	20.5210i	−0.118146	−	0.814992i
$635$	−45.1893	−	8.78225i	−1.79328	−	0.348513i
$636$	−0.709497	−	0.313353i	−0.0281334	−	0.0124253i
$637$	−4.81243	+	34.7621i	−0.190675	+	1.37732i
$638$	−4.17717	−	6.38893i	−0.165376	−	0.252940i
$639$	7.84179	+	2.76611i	0.310217	+	0.109425i
$640$	−26.9474	+	8.16851i	−1.06519	+	0.322889i
$641$	−19.9941	−	9.13803i	−0.789720	−	0.360931i	−0.0203980	−	0.999792i	$-0.506493\pi$
$641$	−19.9941	−	9.13803i	−0.789720	−	0.360931i	−0.769322	+	0.638861i	$0.779406\pi$
$642$	1.03453	+	1.77433i	0.0408295	+	0.0700272i
$643$	33.3969	−	31.4262i	1.31704	−	1.23933i	0.365873	−	0.930665i	$-0.380771\pi$
$643$	33.3969	−	31.4262i	1.31704	−	1.23933i	0.951172	−	0.308662i	$-0.0998812\pi$
$644$	−9.98750	−	14.4542i	−0.393562	−	0.569574i
$645$	2.38399	+	1.20224i	0.0938696	+	0.0473383i
$646$	−42.6441	+	68.0401i	−1.67781	+	2.67700i
$647$	−4.34842	−	3.36808i	−0.170954	−	0.132413i	0.523284	−	0.852158i	$-0.324707\pi$
$647$	−4.34842	−	3.36808i	−0.170954	−	0.132413i	−0.694238	+	0.719745i	$0.744259\pi$
$648$	−2.14742	−	17.1219i	−0.0843584	−	0.672611i
$649$	−22.9085	−	3.24615i	−0.899235	−	0.127423i
$650$	1.87621	+	1.85829i	0.0735909	+	0.0728880i
$651$	−2.20676	−	0.794322i	−0.0864896	−	0.0311319i
$652$	12.7727	+	5.35057i	0.500218	+	0.209544i
$653$	0.579495	+	6.69215i	0.0226774	+	0.261884i	0.998968	+	0.0454200i	$0.0144626\pi$
$653$	0.579495	+	6.69215i	0.0226774	+	0.261884i	−0.976291	+	0.216464i	$0.930548\pi$
$654$	−1.94889	−	0.263452i	−0.0762078	−	0.0103018i
$655$	−25.2059	+	14.1610i	−0.984876	+	0.553317i
$656$	−1.05218	−	5.50808i	−0.0410809	−	0.215055i
$657$	0.381311	−	5.17284i	0.0148764	−	0.201812i
$658$	−9.25594	+	18.8008i	−0.360834	+	0.732930i
$659$	39.8754	−	19.1581i	1.55332	−	0.746293i	0.556883	−	0.830591i	$-0.311997\pi$
$659$	39.8754	−	19.1581i	1.55332	−	0.746293i	0.996441	+	0.0842981i	$0.0268648\pi$
$660$	1.21751	+	0.293740i	0.0473915	+	0.0114338i
$661$	−6.01201	+	8.02381i	−0.233840	+	0.312090i	−0.901839	−	0.432072i	$-0.857783\pi$
$661$	−6.01201	+	8.02381i	−0.233840	+	0.312090i	0.667999	+	0.744162i	$0.267151\pi$
$662$	38.6305	−	44.0615i	1.50142	−	1.71250i
$663$	−2.96195	−	4.17145i	−0.115033	−	0.162006i
$664$	−22.7697	+	28.8216i	−0.883638	+	1.11850i
$665$	−6.15363	+	66.1373i	−0.238628	+	2.56470i
$666$	43.0788	−	21.7246i	1.66927	−	0.841810i
$667$	−6.82329	−	3.71936i	−0.264199	−	0.144014i
$668$	8.36572	−	16.7217i	0.323679	−	0.646982i
$669$	1.45057	−	0.651775i	0.0560823	−	0.0251991i
$670$	−8.31944	−	1.67214i	−0.321408	−	0.0646003i
$671$	−5.17044	−	4.99162i	−0.199603	−	0.192699i
$672$	3.49033	−	2.33015i	0.134642	−	0.0898874i
$673$	−12.5711	+	38.3557i	−0.484582	+	1.47850i	0.354790	+	0.934946i	$0.384552\pi$
$673$	−12.5711	+	38.3557i	−0.484582	+	1.47850i	−0.839372	+	0.543558i	$0.817077\pi$
$674$	−17.0626	−	20.7654i	−0.657226	−	0.799853i
$675$	0.613919	−	0.285346i	0.0236298	−	0.0109830i
$676$	−1.10904	+	1.09844i	−0.0426552	+	0.0422478i
$677$	−5.42131	+	4.03501i	−0.208358	+	0.155078i	−0.696186	−	0.717861i	$-0.745121\pi$
$677$	−5.42131	+	4.03501i	−0.208358	+	0.155078i	0.487828	+	0.872940i	$0.337789\pi$
$678$	−3.76883	+	1.08998i	−0.144741	+	0.0418604i
$679$	−5.00260	+	12.7350i	−0.191982	+	0.488725i
$680$	−11.6935	−	25.3705i	−0.448424	−	0.972913i
$681$	−0.0941823	−	4.20495i	−0.00360907	−	0.161134i
$682$	12.0894	−	2.51045i	0.462926	−	0.0961299i
$683$	13.9976	−	14.7804i	0.535604	−	0.565555i	−0.400941	−	0.916104i	$-0.631317\pi$
$683$	13.9976	−	14.7804i	0.535604	−	0.565555i	0.936544	+	0.350549i	$0.114005\pi$
$684$	−11.6997	+	12.5134i	−0.447351	+	0.478462i
$685$	−5.85828	−	0.412999i	−0.223833	−	0.0157799i
$686$	0.720682	−	25.0232i	0.0275158	−	0.955390i
$687$	−0.744242	+	0.837996i	−0.0283946	+	0.0319715i
$688$	−16.0204	+	20.5473i	−0.610772	+	0.783359i
$689$	−13.7058	−	1.58552i	−0.522151	−	0.0604036i
$690$	4.39079	−	1.14895i	0.167154	−	0.0437397i
$691$	6.07085	+	19.3562i	0.230946	+	0.736344i	0.995751	+	0.0920825i	$0.0293523\pi$
$691$	6.07085	+	19.3562i	0.230946	+	0.736344i	−0.764806	+	0.644261i	$0.777165\pi$
$692$	8.75287	+	4.34403i	0.332734	+	0.165135i
$693$	−38.9093	+	2.24308i	−1.47804	+	0.0852075i
$694$	−4.62157	+	5.07154i	−0.175432	+	0.192513i
$695$	16.2671	+	29.6168i	0.617048	+	1.12343i
$696$	0.346199	−	0.611625i	0.0131226	−	0.0231836i
$697$	6.93277	−	2.34615i	0.262597	−	0.0888666i
$698$	49.9095	+	9.03839i	1.88910	+	0.342108i
$699$	1.68875	−	0.0648631i	0.0638742	−	0.00245335i
$700$	−1.22409	−	0.973438i	−0.0462663	−	0.0367925i
$701$	9.79044	+	5.92017i	0.369780	+	0.223602i	0.690111	−	0.723704i	$-0.257562\pi$
$701$	9.79044	+	5.92017i	0.369780	+	0.223602i	−0.320331	+	0.947306i	$0.603794\pi$
$702$	−3.23829	−	7.14580i	−0.122221	−	0.269701i
$703$	67.1696	+	29.1537i	2.53335	+	1.09955i
$704$	3.84618	−	8.34476i	0.144958	−	0.314505i
$705$	−1.05280	−	1.09753i	−0.0396509	−	0.0413352i
$706$	−10.3955	+	5.15925i	−0.391239	+	0.194171i
$707$	−55.3985	+	31.5917i	−2.08347	+	1.18813i
$708$	0.450269	+	1.28963i	0.0169221	+	0.0484673i
$709$	33.3416	−	6.47973i	1.25217	−	0.243351i	0.479151	−	0.877733i	$-0.340945\pi$
$709$	33.3416	−	6.47973i	1.25217	−	0.243351i	0.773020	+	0.634381i	$0.218745\pi$
$710$	9.77073	+	2.22541i	0.366689	+	0.0835181i
$711$	−4.25951	−	5.11678i	−0.159744	−	0.191894i
$712$	−33.7647	+	0.648195i	−1.26539	+	0.0242922i
$713$	9.63513	−	8.07317i	0.360838	−	0.302342i
$714$	7.16194	+	8.06414i	0.268029	+	0.301793i
$715$	22.2339	−	1.42455i	0.831499	−	0.0532750i
$716$	4.89784	+	9.48467i	0.183041	+	0.354459i
$717$	−0.544922	−	3.18295i	−0.0203505	−	0.118870i
$718$	−2.48776	−	15.7397i	−0.0928422	−	0.587399i
$719$	29.0523	−	0.743711i	1.08347	−	0.0277358i	0.520228	−	0.854028i	$-0.325847\pi$
$719$	29.0523	−	0.743711i	1.08347	−	0.0277358i	0.563242	+	0.826292i	$0.309554\pi$
$720$	−7.36577	−	30.1072i	−0.274506	−	1.12203i
$721$	−19.9146	+	19.4736i	−0.741660	+	0.725234i
$722$	−60.7579	−	3.50263i	−2.26117	−	0.130354i
$723$	3.61945	+	2.06404i	0.134609	+	0.0767625i
$724$	2.77016	−	15.0224i	0.102952	−	0.558303i
$725$	−0.677323	−	0.140651i	−0.0251551	−	0.00522365i
$726$	0.334720	−	0.232869i	0.0124226	−	0.00864259i
$727$	−1.86978	+	1.16357i	−0.0693465	+	0.0431545i	−0.562583	−	0.826741i	$-0.690192\pi$
$727$	−1.86978	+	1.16357i	−0.0693465	+	0.0431545i	0.493237	+	0.869895i	$0.335814\pi$
$728$	17.8041	−	21.9527i	0.659862	−	0.813619i
$729$	23.9141	−	1.68590i	0.885707	−	0.0624409i
$730$	−0.259891	−	6.24538i	−0.00961899	−	0.231152i
$731$	−29.4318	−	17.0343i	−1.08857	−	0.630037i
$732$	−0.121784	+	0.406438i	−0.00450128	+	0.0150224i
$733$	7.93356	−	14.2277i	0.293033	−	0.525513i	−0.686415	−	0.727210i	$-0.740817\pi$
$733$	7.93356	−	14.2277i	0.293033	−	0.525513i	0.979448	+	0.201697i	$0.0646456\pi$
$734$	−25.1552	−	5.39177i	−0.928494	−	0.199014i
$735$	4.99112	+	1.97908i	0.184100	+	0.0729995i
$736$	1.36635	+	22.4510i	0.0503645	+	0.827556i
$737$	6.03295	−	4.55052i	0.222226	−	0.167621i
$738$	5.50784	−	0.744550i	0.202746	−	0.0274073i
$739$	4.71490	+	21.0112i	0.173441	+	0.772908i	0.982662	+	0.185405i	$0.0593596\pi$
$739$	4.71490	+	21.0112i	0.173441	+	0.772908i	−0.809222	+	0.587503i	$0.800111\pi$
$740$	13.6429	−	8.98237i	0.501524	−	0.330198i
$741$	2.57046	−	5.30656i	0.0944282	−	0.194941i
$742$	29.0858	+	0.186104i	1.06777	+	0.00683209i
$743$	20.6572	+	22.0939i	0.757841	+	0.810545i	0.986638	−	0.162929i	$-0.0520942\pi$
$743$	20.6572	+	22.0939i	0.757841	+	0.810545i	−0.228797	+	0.973474i	$0.573479\pi$
$744$	0.716090	+	0.882948i	0.0262531	+	0.0323705i
$745$	31.2564	+	10.8010i	1.14515	+	0.395718i
$746$	−27.3676	−	10.4485i	−1.00200	−	0.382549i
$747$	−39.8829	−	35.1933i	−1.45924	−	1.28766i
$748$	−15.2656	−	4.62743i	−0.558165	−	0.169196i
$749$	−17.4407	−	12.8083i	−0.637269	−	0.468006i
$750$	3.95151	−	2.42410i	0.144289	−	0.0885155i
$751$	0.00834796	−	2.60940i	0.000304621	−	0.0952183i	−0.998709	−	0.0508047i	$-0.983821\pi$
$751$	0.00834796	−	2.60940i	0.000304621	−	0.0952183i	0.999013	−	0.0444136i	$-0.0141419\pi$
$752$	12.4990	−	8.00181i	0.455790	−	0.291796i
$753$	−2.74966	+	2.65456i	−0.100203	+	0.0967375i
$754$	−1.70519	+	7.83313i	−0.0620992	+	0.285266i
$755$	1.40025	−	5.72346i	0.0509604	−	0.208298i
$756$	2.36597	+	3.99888i	0.0860495	+	0.145438i
$757$	2.12357	−	2.15782i	0.0771826	−	0.0784271i	−0.673069	−	0.739580i	$-0.735024\pi$
$757$	2.12357	−	2.15782i	0.0771826	−	0.0784271i	0.750251	+	0.661153i	$0.229933\pi$
$758$	−7.72141	+	10.7283i	−0.280454	+	0.389670i
$759$	−1.83143	+	3.60293i	−0.0664767	+	0.130778i
$760$	19.1404	−	25.8889i	0.694296	−	0.939090i
$761$	−29.0525	+	43.2178i	−1.05315	+	1.56664i	−0.252423	+	0.967617i	$0.581227\pi$
$761$	−29.0525	+	43.2178i	−1.05315	+	1.56664i	−0.800730	+	0.599026i	$0.795555\pi$
$762$	−7.78885	−	3.68099i	−0.282160	−	0.133348i
$763$	19.9399	−	5.62881i	0.721874	−	0.203776i
$764$	2.04829	+	4.37025i	0.0741046	+	0.158110i
$765$	37.6056	−	14.9114i	1.35963	−	0.539121i
$766$	−27.2827	+	4.58101i	−0.985764	+	0.165519i
$767$	14.4457	+	19.5389i	0.521603	+	0.705508i
$768$	−3.87711	+	0.173766i	−0.139903	+	0.00627025i
$769$	−23.7245	−	13.9345i	−0.855527	−	0.502491i	0.0119730	−	0.999928i	$-0.496189\pi$
$769$	−23.7245	−	13.9345i	−0.855527	−	0.502491i	−0.867500	+	0.497438i	$0.834274\pi$

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:	\( N \)	\(=\)	\( 983 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	983.c (of order \(491\), degree \(490\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.529551 + 1.58145i) q^{2} +(0.208046 + 0.116883i) q^{3} +(-0.623831 - 0.470542i) q^{4} +(-1.17513 + 1.77249i) q^{5} +(-0.295015 + 0.267117i) q^{6} +(1.73067 - 3.81900i) q^{7} +(-1.67570 + 1.14996i) q^{8} +(-1.53091 - 2.51354i) q^{9} +O(q^{10})\)	\(q+(-0.529551 + 1.58145i) q^{2} +(0.208046 + 0.116883i) q^{3} +(-0.623831 - 0.470542i) q^{4} +(-1.17513 + 1.77249i) q^{5} +(-0.295015 + 0.267117i) q^{6} +(1.73067 - 3.81900i) q^{7} +(-1.67570 + 1.14996i) q^{8} +(-1.53091 - 2.51354i) q^{9} +(-2.18080 - 2.79703i) q^{10} +(3.15193 + 0.201947i) q^{11} +(-0.0747869 - 0.170810i) q^{12} +(-2.17070 - 2.50807i) q^{13} +(5.12306 + 4.75932i) q^{14} +(-0.451654 + 0.231405i) q^{15} +(-1.36061 - 4.76163i) q^{16} +(5.91252 - 2.61130i) q^{17} +(4.78572 - 1.09001i) q^{18} +(5.91835 + 4.52379i) q^{19} +(1.56711 - 0.552782i) q^{20} +(0.806435 - 0.592240i) q^{21} +(-1.98847 + 4.87766i) q^{22} +(0.565087 + 5.33268i) q^{23} +(-0.483033 + 0.0433847i) q^{24} +(0.185848 + 0.439699i) q^{25} +(5.11587 - 2.10470i) q^{26} +(-0.0498974 - 1.41732i) q^{27} +(-2.87665 + 1.56805i) q^{28} +(-0.823802 + 1.19223i) q^{29} +(-0.126780 - 0.836807i) q^{30} +(-1.30776 - 1.94539i) q^{31} +(4.19018 + 0.187798i) q^{32} +(0.632141 + 0.410421i) q^{33} +(0.998646 + 10.7331i) q^{34} +(4.73535 + 7.55542i) q^{35} +(-0.227696 + 2.28838i) q^{36} +(9.54053 - 2.36648i) q^{37} +(-10.2882 + 6.96397i) q^{38} +(-0.158454 - 0.775511i) q^{39} +(-0.0691322 - 4.32151i) q^{40} +(1.12782 + 0.101298i) q^{41} +(0.509547 + 1.58895i) q^{42} +(-3.10063 - 4.25047i) q^{43} +(-1.87124 - 1.60910i) q^{44} +(6.25424 + 0.240219i) q^{45} +(-8.73259 - 1.93027i) q^{46} +(0.860180 + 2.87073i) q^{47} +(0.273484 - 1.14967i) q^{48} +(-6.97481 - 7.95539i) q^{49} +(-0.793775 + 0.0610663i) q^{50} +(1.53529 + 0.147804i) q^{51} +(0.173998 + 2.58602i) q^{52} +(3.06551 - 2.81153i) q^{53} +(2.26783 + 0.671631i) q^{54} +(-4.06188 + 5.34943i) q^{55} +(1.49163 + 8.38970i) q^{56} +(0.702533 + 1.63291i) q^{57} +(-1.44920 - 1.93414i) q^{58} +(-7.30408 - 0.561914i) q^{59} +(0.390642 + 0.0681650i) q^{60} +(-1.73475 - 1.47252i) q^{61} +(3.76905 - 1.03797i) q^{62} +(-12.2487 + 1.49644i) q^{63} +(1.04634 - 2.71455i) q^{64} +(6.99638 - 0.900225i) q^{65} +(-0.983809 + 0.782357i) q^{66} +(1.81410 - 1.55996i) q^{67} +(-4.91714 - 1.15308i) q^{68} +(-0.505736 + 1.17549i) q^{69} +(-14.4561 + 3.48772i) q^{70} +(-2.18873 + 1.78674i) q^{71} +(5.45583 + 2.45143i) q^{72} +(1.43373 + 1.02494i) q^{73} +(-1.30974 + 16.3410i) q^{74} +(-0.0127284 + 0.113200i) q^{75} +(-1.56342 - 5.60691i) q^{76} +(6.22619 - 11.6877i) q^{77} +(1.31034 + 0.160086i) q^{78} +(2.23772 - 0.331706i) q^{79} +(10.0388 + 3.18387i) q^{80} +(-3.89580 + 7.54423i) q^{81} +(-0.757434 + 1.72994i) q^{82} +(17.2621 - 5.35347i) q^{83} +(-0.781753 - 0.0100044i) q^{84} +(-2.31950 + 13.5485i) q^{85} +(8.36383 - 2.65264i) q^{86} +(-0.310739 + 0.151749i) q^{87} +(-5.51390 + 3.28620i) q^{88} +(13.8788 + 9.13768i) q^{89} +(-3.69183 + 9.76352i) q^{90} +(-13.3351 + 3.94926i) q^{91} +(2.15673 - 3.59259i) q^{92} +(-0.0446906 - 0.557584i) q^{93} +(-4.99540 - 0.159866i) q^{94} +(-14.9732 + 5.17414i) q^{95} +(0.849799 + 0.528832i) q^{96} +(-3.25898 + 0.166963i) q^{97} +(16.2745 - 6.81750i) q^{98} +(-4.31772 - 8.23166i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 39690 q - 489 q^{2} - 487 q^{3} - 565 q^{4} - 485 q^{5} - 477 q^{6} - 489 q^{7} - 485 q^{8} - 558 q^{9}+O(q^{10}) \) 39690 * q - 489 * q^2 - 487 * q^3 - 565 * q^4 - 485 * q^5 - 477 * q^6 - 489 * q^7 - 485 * q^8 - 558 * q^9	\( 39690 q - 489 q^{2} - 487 q^{3} - 565 q^{4} - 485 q^{5} - 477 q^{6} - 489 q^{7} - 485 q^{8} - 558 q^{9} - 471 q^{10} - 477 q^{11} - 463 q^{12} - 483 q^{13} - 473 q^{14} - 461 q^{15} - 543 q^{16} - 481 q^{17} - 457 q^{18} - 473 q^{19} - 449 q^{20} - 449 q^{21} - 459 q^{22} - 473 q^{23} - 405 q^{24} - 552 q^{25} - 437 q^{26} - 451 q^{27} - 455 q^{28} - 455 q^{29} - 379 q^{30} - 459 q^{31} - 437 q^{32} - 447 q^{33} - 423 q^{34} - 439 q^{35} - 459 q^{36} - 475 q^{37} - 423 q^{38} - 439 q^{39} - 413 q^{40} - 455 q^{41} - 407 q^{42} - 457 q^{43} - 413 q^{44} - 397 q^{45} - 415 q^{46} - 467 q^{47} - 393 q^{48} - 524 q^{49} - 429 q^{50} - 403 q^{51} - 391 q^{52} - 431 q^{53} - 379 q^{54} - 415 q^{55} - 371 q^{56} - 447 q^{57} - 431 q^{58} - 439 q^{59} - 261 q^{60} - 431 q^{61} - 383 q^{62} - 445 q^{63} - 447 q^{64} - 415 q^{65} - 345 q^{66} - 439 q^{67} - 409 q^{68} - 367 q^{69} - 345 q^{70} - 415 q^{71} - 341 q^{72} - 465 q^{73} - 359 q^{74} - 339 q^{75} - 361 q^{76} - 363 q^{77} - 341 q^{78} - 423 q^{79} - 249 q^{80} - 420 q^{81} - 371 q^{82} - 433 q^{83} - 215 q^{84} - 409 q^{85} - 369 q^{86} - 329 q^{87} - 255 q^{88} - 393 q^{89} - 251 q^{90} - 373 q^{91} - 387 q^{92} - 369 q^{93} - 317 q^{94} - 393 q^{95} - 149 q^{96} - 415 q^{97} - 307 q^{98} - 299 q^{99}+O(q^{100}) \) 39690 * q - 489 * q^2 - 487 * q^3 - 565 * q^4 - 485 * q^5 - 477 * q^6 - 489 * q^7 - 485 * q^8 - 558 * q^9 - 471 * q^10 - 477 * q^11 - 463 * q^12 - 483 * q^13 - 473 * q^14 - 461 * q^15 - 543 * q^16 - 481 * q^17 - 457 * q^18 - 473 * q^19 - 449 * q^20 - 449 * q^21 - 459 * q^22 - 473 * q^23 - 405 * q^24 - 552 * q^25 - 437 * q^26 - 451 * q^27 - 455 * q^28 - 455 * q^29 - 379 * q^30 - 459 * q^31 - 437 * q^32 - 447 * q^33 - 423 * q^34 - 439 * q^35 - 459 * q^36 - 475 * q^37 - 423 * q^38 - 439 * q^39 - 413 * q^40 - 455 * q^41 - 407 * q^42 - 457 * q^43 - 413 * q^44 - 397 * q^45 - 415 * q^46 - 467 * q^47 - 393 * q^48 - 524 * q^49 - 429 * q^50 - 403 * q^51 - 391 * q^52 - 431 * q^53 - 379 * q^54 - 415 * q^55 - 371 * q^56 - 447 * q^57 - 431 * q^58 - 439 * q^59 - 261 * q^60 - 431 * q^61 - 383 * q^62 - 445 * q^63 - 447 * q^64 - 415 * q^65 - 345 * q^66 - 439 * q^67 - 409 * q^68 - 367 * q^69 - 345 * q^70 - 415 * q^71 - 341 * q^72 - 465 * q^73 - 359 * q^74 - 339 * q^75 - 361 * q^76 - 363 * q^77 - 341 * q^78 - 423 * q^79 - 249 * q^80 - 420 * q^81 - 371 * q^82 - 433 * q^83 - 215 * q^84 - 409 * q^85 - 369 * q^86 - 329 * q^87 - 255 * q^88 - 393 * q^89 - 251 * q^90 - 373 * q^91 - 387 * q^92 - 369 * q^93 - 317 * q^94 - 393 * q^95 - 149 * q^96 - 415 * q^97 - 307 * q^98 - 299 * q^99

Introduction

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