LMFDB - Embedded newform 124.3.n.a.71.17

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [124,3,Mod(7,124)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(124, base_ring=CyclotomicField(30))

chi = DirichletCharacter(H, H._module([15, 28]))

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

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

chi := DirichletCharacter("124.7");

S:= CuspForms(chi, 3);

N := Newforms(S);

Level:	$ N $	$=$	$ 124 = 2^{2} \cdot 31 $
Weight:	$ k $	$=$	$ 3 $
Character orbit:	$[\chi]$	$=$	124.n (of order $30$, degree $8$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$3.37875527807$
Analytic rank:	$0$
Dimension:	$240$
Relative dimension:	$30$ over $\Q(\zeta_{30})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label			71.17
Character	$\chi$	$=$	124.71
Dual form			124.3.n.a.7.17

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.595729 - 1.90922i) q^{2} +(-0.631742 + 2.97211i) q^{3} +(-3.29021 - 2.27475i) q^{4} +(1.43502 + 2.48553i) q^{5} +(5.29806 + 2.97670i) q^{6} +(3.93413 + 8.83620i) q^{7} +(-6.30307 + 4.92660i) q^{8} +(-0.212439 - 0.0945840i) q^{9} +O(q^{10})$	\(q+(0.595729 - 1.90922i) q^{2} +(-0.631742 + 2.97211i) q^{3} +(-3.29021 - 2.27475i) q^{4} +(1.43502 + 2.48553i) q^{5} +(5.29806 + 2.97670i) q^{6} +(3.93413 + 8.83620i) q^{7} +(-6.30307 + 4.92660i) q^{8} +(-0.212439 - 0.0945840i) q^{9} +(5.60029 - 1.25906i) q^{10} +(1.92885 + 0.202730i) q^{11} +(8.83938 - 8.34183i) q^{12} +(5.52553 - 6.13673i) q^{13} +(19.2139 - 2.24713i) q^{14} +(-8.29382 + 2.69483i) q^{15} +(5.65102 + 14.9688i) q^{16} +(1.19586 + 11.3779i) q^{17} +(-0.307138 + 0.349246i) q^{18} +(-2.13513 + 1.92248i) q^{19} +(0.932431 - 11.4422i) q^{20} +(-28.7475 + 6.11047i) q^{21} +(1.53613 - 3.56182i) q^{22} +(-4.46861 - 6.15052i) q^{23} +(-10.6605 - 21.8458i) q^{24} +(8.38144 - 14.5171i) q^{25} +(-8.42462 - 14.2053i) q^{26} +(-15.6586 + 21.5522i) q^{27} +(7.15602 - 38.0221i) q^{28} +(6.56240 - 20.1970i) q^{29} +(0.204137 + 17.4401i) q^{30} +(-30.5177 - 5.44709i) q^{31} +(31.9452 - 1.87166i) q^{32} +(-1.82107 + 5.60469i) q^{33} +(22.4353 + 4.49497i) q^{34} +(-16.3171 + 22.4585i) q^{35} +(0.483816 + 0.794448i) q^{36} +(9.89774 - 17.1434i) q^{37} +(2.39847 + 5.22169i) q^{38} +(14.7483 + 20.2993i) q^{39} +(-21.2902 - 8.59668i) q^{40} +(-30.3171 + 6.44411i) q^{41} +(-5.45951 + 58.5254i) q^{42} +(41.3316 - 37.2152i) q^{43} +(-5.88517 - 5.05468i) q^{44} +(-0.0697633 - 0.663753i) q^{45} +(-14.4048 + 4.86751i) q^{46} +(-54.1269 + 17.5869i) q^{47} +(-48.0590 + 7.33902i) q^{48} +(-29.8136 + 33.1114i) q^{49} +(-22.7232 - 24.6502i) q^{50} +(-34.5718 - 3.63365i) q^{51} +(-32.1397 + 7.62193i) q^{52} +(83.0012 + 36.9545i) q^{53} +(31.8196 + 42.7349i) q^{54} +(2.26405 + 5.08513i) q^{55} +(-68.3295 - 36.3133i) q^{56} +(-4.36496 - 7.56034i) q^{57} +(-34.6510 - 24.5610i) q^{58} +(17.5298 - 82.4714i) q^{59} +(33.4185 + 9.99982i) q^{60} +18.5876 q^{61} +(-28.5799 + 55.0199i) q^{62} -2.24926i q^{63} +(15.4573 - 62.1053i) q^{64} +(23.1822 + 4.92754i) q^{65} +(9.61569 + 6.81570i) q^{66} +(85.4391 - 49.3283i) q^{67} +(21.9472 - 40.1560i) q^{68} +(21.1030 - 9.39568i) q^{69} +(33.1576 + 44.5320i) q^{70} +(0.0650149 - 0.146026i) q^{71} +(1.80500 - 0.450433i) q^{72} +(-1.57415 + 14.9770i) q^{73} +(-26.8341 - 29.1097i) q^{74} +(37.8515 + 34.0816i) q^{75} +(11.3982 - 1.46848i) q^{76} +(5.79698 + 17.8413i) q^{77} +(47.5418 - 16.0648i) q^{78} +(149.725 - 15.7367i) q^{79} +(-29.0961 + 35.5263i) q^{80} +(-55.5638 - 61.7099i) q^{81} +(-5.75760 + 61.7209i) q^{82} +(-25.2083 - 118.595i) q^{83} +(108.485 + 45.2887i) q^{84} +(-26.5640 + 19.2998i) q^{85} +(-46.4294 - 101.081i) q^{86} +(55.8819 + 32.2635i) q^{87} +(-13.1564 + 8.22485i) q^{88} +(-129.124 - 93.8142i) q^{89} +(-1.30881 - 0.262224i) q^{90} +(75.9635 + 24.6820i) q^{91} +(0.711801 + 30.4015i) q^{92} +(35.4687 - 87.2608i) q^{93} +(1.33224 + 113.817i) q^{94} +(-7.84231 - 2.54812i) q^{95} +(-14.6184 + 96.1271i) q^{96} +(84.0458 + 61.0628i) q^{97} +(45.4560 + 76.6461i) q^{98} +(-0.390589 - 0.225506i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 240 q - 6 q^{2} - 10 q^{4} - 8 q^{5} - 5 q^{6} - 27 q^{8} - 96 q^{9}+O(q^{10}) $ 240 * q - 6 * q^2 - 10 * q^4 - 8 * q^5 - 5 * q^6 - 27 * q^8 - 96 * q^9	$ 240 q - 6 q^{2} - 10 q^{4} - 8 q^{5} - 5 q^{6} - 27 q^{8} - 96 q^{9} - 4 q^{10} + 27 q^{12} - 26 q^{13} + 10 q^{14} + 46 q^{16} - 18 q^{17} - 11 q^{18} + 143 q^{20} + 90 q^{21} + 77 q^{22} - 54 q^{24} - 464 q^{25} - 27 q^{26} - 52 q^{28} - 12 q^{29} + 206 q^{30} + 154 q^{32} + 72 q^{33} - 168 q^{34} + 23 q^{36} - 48 q^{37} - 78 q^{38} + 85 q^{40} - 18 q^{41} - 91 q^{42} - 493 q^{44} - 30 q^{45} + 198 q^{46} - 314 q^{48} + 48 q^{49} - 563 q^{50} - 551 q^{52} + 46 q^{53} - 600 q^{54} - 90 q^{56} - 44 q^{57} - 125 q^{58} - 77 q^{60} + 208 q^{61} - 17 q^{62} - 529 q^{64} + 132 q^{65} + 788 q^{66} + 364 q^{68} + 36 q^{69} + 586 q^{70} + 1113 q^{72} + 214 q^{73} + 351 q^{74} + 824 q^{76} + 456 q^{77} + 123 q^{78} + 410 q^{80} + 90 q^{81} - 718 q^{82} - 412 q^{84} + 394 q^{85} + 680 q^{86} - 141 q^{88} + 12 q^{89} + 193 q^{90} - 520 q^{92} + 82 q^{93} - 876 q^{94} + 888 q^{96} - 548 q^{97} + 32 q^{98}+O(q^{100}) $ 240 * q - 6 * q^2 - 10 * q^4 - 8 * q^5 - 5 * q^6 - 27 * q^8 - 96 * q^9 - 4 * q^10 + 27 * q^12 - 26 * q^13 + 10 * q^14 + 46 * q^16 - 18 * q^17 - 11 * q^18 + 143 * q^20 + 90 * q^21 + 77 * q^22 - 54 * q^24 - 464 * q^25 - 27 * q^26 - 52 * q^28 - 12 * q^29 + 206 * q^30 + 154 * q^32 + 72 * q^33 - 168 * q^34 + 23 * q^36 - 48 * q^37 - 78 * q^38 + 85 * q^40 - 18 * q^41 - 91 * q^42 - 493 * q^44 - 30 * q^45 + 198 * q^46 - 314 * q^48 + 48 * q^49 - 563 * q^50 - 551 * q^52 + 46 * q^53 - 600 * q^54 - 90 * q^56 - 44 * q^57 - 125 * q^58 - 77 * q^60 + 208 * q^61 - 17 * q^62 - 529 * q^64 + 132 * q^65 + 788 * q^66 + 364 * q^68 + 36 * q^69 + 586 * q^70 + 1113 * q^72 + 214 * q^73 + 351 * q^74 + 824 * q^76 + 456 * q^77 + 123 * q^78 + 410 * q^80 + 90 * q^81 - 718 * q^82 - 412 * q^84 + 394 * q^85 + 680 * q^86 - 141 * q^88 + 12 * q^89 + 193 * q^90 - 520 * q^92 + 82 * q^93 - 876 * q^94 + 888 * q^96 - 548 * q^97 + 32 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/124\mathbb{Z}\right)^\times$.

$n$	$63$	$65$
$\chi(n)$	$-1$	$e\left(\frac{1}{15}\right)$

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 $

$2$	0.595729	−	1.90922i	0.297864	−	0.954608i
$2$	0.595729	−	1.90922i	0.297864	−	0.954608i
$3$	−0.631742	+	2.97211i	−0.210581	+	0.990704i	0.738155	+	0.674632i	$0.235698\pi$
$3$	−0.631742	+	2.97211i	−0.210581	+	0.990704i	−0.948735	+	0.316072i	$0.897636\pi$
$4$	−3.29021	−	2.27475i	−0.822554	−	0.568688i
$5$	1.43502	+	2.48553i	0.287004	+	0.497105i	0.973093	−	0.230412i	$-0.0740074\pi$
$5$	1.43502	+	2.48553i	0.287004	+	0.497105i	−0.686089	+	0.727517i	$0.740674\pi$
$6$	5.29806	+	2.97670i	0.883009	+	0.496117i
$7$	3.93413	+	8.83620i	0.562018	+	1.26231i	0.941468	+	0.337102i	$0.109447\pi$
$7$	3.93413	+	8.83620i	0.562018	+	1.26231i	−0.379450	+	0.925212i	$0.623887\pi$
$8$	−6.30307	+	4.92660i	−0.787883	+	0.615825i
$9$	−0.212439	−	0.0945840i	−0.0236044	−	0.0105093i
$10$	5.60029	−	1.25906i	0.560029	−	0.125906i
$11$	1.92885	+	0.202730i	0.175350	+	0.0184300i	0.191797	−	0.981435i	$-0.438569\pi$
$11$	1.92885	+	0.202730i	0.175350	+	0.0184300i	−0.0164464	+	0.999865i	$0.505235\pi$
$12$	8.83938	−	8.34183i	0.736615	−	0.695152i
$13$	5.52553	−	6.13673i	0.425041	−	0.472056i	−0.492146	−	0.870513i	$-0.663787\pi$
$13$	5.52553	−	6.13673i	0.425041	−	0.472056i	0.917187	+	0.398457i	$0.130454\pi$
$14$	19.2139	−	2.24713i	1.37242	−	0.160509i
$15$	−8.29382	+	2.69483i	−0.552922	+	0.179655i
$16$	5.65102	+	14.9688i	0.353189	+	0.935552i
$17$	1.19586	+	11.3779i	0.0703450	+	0.669288i	0.971702	+	0.236211i	$0.0759055\pi$
$17$	1.19586	+	11.3779i	0.0703450	+	0.669288i	−0.901357	+	0.433077i	$0.857428\pi$
$18$	−0.307138	+	0.349246i	−0.0170632	+	0.0194026i
$19$	−2.13513	+	1.92248i	−0.112375	+	0.101183i	−0.723403	−	0.690426i	$-0.757423\pi$
$19$	−2.13513	+	1.92248i	−0.112375	+	0.101183i	0.611028	+	0.791609i	$0.290756\pi$
$20$	0.932431	−	11.4422i	0.0466216	−	0.572111i
$21$	−28.7475	+	6.11047i	−1.36893	+	0.290975i
$22$	1.53613	−	3.56182i	0.0698240	−	0.161901i
$23$	−4.46861	−	6.15052i	−0.194288	−	0.267414i	0.700748	−	0.713409i	$-0.252850\pi$
$23$	−4.46861	−	6.15052i	−0.194288	−	0.267414i	−0.895035	+	0.445995i	$0.852850\pi$
$24$	−10.6605	−	21.8458i	−0.444187	−	0.910240i
$25$	8.38144	−	14.5171i	0.335258	−	0.580683i
$26$	−8.42462	−	14.2053i	−0.324024	−	0.546356i
$27$	−15.6586	+	21.5522i	−0.579948	+	0.798230i
$28$	7.15602	−	38.0221i	0.255572	−	1.35793i
$29$	6.56240	−	20.1970i	0.226290	−	0.696448i	−0.771869	−	0.635782i	$-0.780678\pi$
$29$	6.56240	−	20.1970i	0.226290	−	0.696448i	0.998158	−	0.0606655i	$-0.0193223\pi$
$30$	0.204137	+	17.4401i	0.00680458	+	0.581336i
$31$	−30.5177	−	5.44709i	−0.984441	−	0.175713i
$31$	−30.5177	−	5.44709i	−0.984441	−	0.175713i
$32$	31.9452	−	1.87166i	0.998288	−	0.0584892i
$33$	−1.82107	+	5.60469i	−0.0551840	+	0.169839i
$34$	22.4353	+	4.49497i	0.659861	+	0.132205i
$35$	−16.3171	+	22.4585i	−0.466202	+	0.641671i
$36$	0.483816	+	0.794448i	0.0134393	+	0.0220680i
$37$	9.89774	−	17.1434i	0.267506	−	0.463335i	−0.700711	−	0.713445i	$-0.747134\pi$
$37$	9.89774	−	17.1434i	0.267506	−	0.463335i	0.968217	+	0.250111i	$0.0804670\pi$
$38$	2.39847	+	5.22169i	0.0631175	+	0.137413i
$39$	14.7483	+	20.2993i	0.378162	+	0.520495i
$40$	−21.2902	−	8.59668i	−0.532255	−	0.214917i
$41$	−30.3171	+	6.44411i	−0.739443	+	0.157173i	−0.562209	−	0.826995i	$-0.690048\pi$
$41$	−30.3171	+	6.44411i	−0.739443	+	0.157173i	−0.177234	+	0.984169i	$0.556715\pi$
$42$	−5.45951	+	58.5254i	−0.129988	+	1.39346i
$43$	41.3316	−	37.2152i	0.961201	−	0.865469i	−0.0297686	−	0.999557i	$-0.509477\pi$
$43$	41.3316	−	37.2152i	0.961201	−	0.865469i	0.990969	+	0.134088i	$0.0428104\pi$
$44$	−5.88517	−	5.05468i	−0.133754	−	0.114879i
$45$	−0.0697633	−	0.663753i	−0.00155030	−	0.0147501i
$46$	−14.4048	+	4.86751i	−0.313147	+	0.105815i
$47$	−54.1269	+	17.5869i	−1.15164	+	0.374190i	−0.821760	−	0.569834i	$-0.807007\pi$
$47$	−54.1269	+	17.5869i	−1.15164	+	0.374190i	−0.329877	+	0.944024i	$0.607007\pi$
$48$	−48.0590	+	7.33902i	−1.00123	+	0.152896i
$49$	−29.8136	+	33.1114i	−0.608441	+	0.675743i
$50$	−22.7232	−	24.6502i	−0.454464	−	0.493004i
$51$	−34.5718	−	3.63365i	−0.677879	−	0.0712480i
$52$	−32.1397	+	7.62193i	−0.618071	+	0.146576i
$53$	83.0012	+	36.9545i	1.56606	+	0.697255i	0.992538	−	0.121936i	$-0.0389101\pi$
$53$	83.0012	+	36.9545i	1.56606	+	0.697255i	0.573522	+	0.819190i	$0.305577\pi$
$54$	31.8196	+	42.7349i	0.589251	+	0.791388i
$55$	2.26405	+	5.08513i	0.0411645	+	0.0924570i
$56$	−68.3295	−	36.3133i	−1.22017	−	0.648451i
$57$	−4.36496	−	7.56034i	−0.0765783	−	0.132638i
$58$	−34.6510	−	24.5610i	−0.597431	−	0.423465i
$59$	17.5298	−	82.4714i	0.297116	−	1.39782i	−0.535765	−	0.844367i	$-0.679977\pi$
$59$	17.5298	−	82.4714i	0.297116	−	1.39782i	0.832881	−	0.553453i	$-0.186690\pi$
$60$	33.4185	+	9.99982i	0.556975	+	0.166664i
$61$	18.5876			0.304714			0.152357	−	0.988325i	$-0.451314\pi$
$61$	18.5876			0.304714			0.152357	+	0.988325i	$0.451314\pi$
$62$	−28.5799	+	55.0199i	−0.460967	+	0.887417i
$63$		−	2.24926i		−	0.0357026i
$64$	15.4573	−	62.1053i	0.241520	−	0.970396i
$65$	23.1822	+	4.92754i	0.356650	+	0.0758083i
$66$	9.61569	+	6.81570i	0.145692	+	0.103268i
$67$	85.4391	−	49.3283i	1.27521	−	0.736243i	0.299246	−	0.954176i	$-0.403265\pi$
$67$	85.4391	−	49.3283i	1.27521	−	0.736243i	0.975964	+	0.217933i	$0.0699314\pi$
$68$	21.9472	−	40.1560i	0.322753	−	0.590529i
$69$	21.1030	−	9.39568i	0.305841	−	0.136169i
$70$	33.1576	+	44.5320i	0.473680	+	0.636171i
$71$	0.0650149	−	0.146026i	0.000915703	−	0.00205670i	−0.913087	−	0.407765i	$-0.866308\pi$
$71$	0.0650149	−	0.146026i	0.000915703	−	0.00205670i	0.914003	+	0.405708i	$0.132975\pi$
$72$	1.80500	−	0.450433i	0.0250694	−	0.00625601i
$73$	−1.57415	+	14.9770i	−0.0215637	+	0.205165i	−0.999999	−	0.00138841i	$-0.999558\pi$
$73$	−1.57415	+	14.9770i	−0.0215637	+	0.205165i	0.978435	+	0.206553i	$0.0662247\pi$
$74$	−26.8341	−	29.1097i	−0.362623	−	0.393375i
$75$	37.8515	+	34.0816i	0.504686	+	0.454422i
$76$	11.3982	−	1.46848i	0.149976	−	0.0193221i
$77$	5.79698	+	17.8413i	0.0752855	+	0.231705i
$78$	47.5418	−	16.0648i	0.609510	−	0.205960i
$79$	149.725	−	15.7367i	1.89525	−	0.199199i	0.915906	−	0.401393i	$-0.131474\pi$
$79$	149.725	−	15.7367i	1.89525	−	0.199199i	0.979345	+	0.202194i	$0.0648072\pi$
$80$	−29.0961	+	35.5263i	−0.363701	+	0.444079i
$81$	−55.5638	−	61.7099i	−0.685973	−	0.761850i
$82$	−5.75760	+	61.7209i	−0.0702146	+	0.752694i
$83$	−25.2083	−	118.595i	−0.303714	−	1.42886i	−0.819960	−	0.572421i	$-0.806004\pi$
$83$	−25.2083	−	118.595i	−0.303714	−	1.42886i	0.516246	−	0.856440i	$-0.327329\pi$
$84$	108.485	+	45.2887i	1.29149	+	0.539151i
$85$	−26.5640	+	19.2998i	−0.312517	+	0.227057i
$86$	−46.4294	−	101.081i	−0.539876	−	1.17536i
$87$	55.8819	+	32.2635i	0.642321	+	0.370844i
$88$	−13.1564	+	8.22485i	−0.149505	+	0.0934642i
$89$	−129.124	−	93.8142i	−1.45083	−	1.05409i	−0.985636	−	0.168885i	$-0.945984\pi$
$89$	−129.124	−	93.8142i	−1.45083	−	1.05409i	−0.465197	−	0.885207i	$-0.654016\pi$
$90$	−1.30881	−	0.262224i	−0.0145423	−	0.00291360i
$91$	75.9635	+	24.6820i	0.834764	+	0.271231i
$92$	0.711801	+	30.4015i	0.00773696	+	0.330451i
$93$	35.4687	−	87.2608i	0.381383	−	0.938288i
$94$	1.33224	+	113.817i	0.0141727	+	1.21082i
$95$	−7.84231	−	2.54812i	−0.0825506	−	0.0268223i
$96$	−14.6184	+	96.1271i	−0.152275	+	1.00132i
$97$	84.0458	+	61.0628i	0.866451	+	0.629514i	0.929632	−	0.368488i	$-0.120125\pi$
$97$	84.0458	+	61.0628i	0.866451	+	0.629514i	−0.0631812	+	0.998002i	$0.520125\pi$
$98$	45.4560	+	76.6461i	0.463836	+	0.782103i
$99$	−0.390589	−	0.225506i	−0.00394534	−	0.00227784i
$100$	−60.5995	+	28.6986i	−0.605995	+	0.286986i
$101$	−49.2085	+	35.7521i	−0.487213	+	0.353981i	−0.804112	−	0.594478i	$-0.797359\pi$
$101$	−49.2085	+	35.7521i	−0.487213	+	0.353981i	0.316898	+	0.948459i	$0.397359\pi$
$102$	−27.5329	+	63.8404i	−0.269930	+	0.625887i
$103$	19.3965	+	91.2532i	0.188315	+	0.885954i	0.966250	+	0.257608i	$0.0829343\pi$
$103$	19.3965	+	91.2532i	0.188315	+	0.885954i	−0.777934	+	0.628346i	$0.783732\pi$
$104$	−4.59463	+	65.9023i	−0.0441791	+	0.633676i
$105$	−56.4410	−	62.6841i	−0.537533	−	0.596991i
$106$	120.000	−	136.452i	1.13208	−	1.28729i
$107$	−165.926	+	17.4395i	−1.55071	+	0.162986i	−0.840816	−	0.541321i	$-0.817924\pi$
$107$	−165.926	+	17.4395i	−1.55071	+	0.162986i	−0.709895	+	0.704307i	$0.751258\pi$
$108$	100.546	−	35.2920i	0.930982	−	0.326778i
$109$	42.6222	+	131.178i	0.391030	+	1.20347i	0.932011	+	0.362431i	$0.118053\pi$
$109$	42.6222	+	131.178i	0.391030	+	1.20347i	−0.540981	+	0.841035i	$0.681947\pi$
$110$	11.0574	−	1.29320i	0.100522	−	0.0117563i
$111$	44.6992	+	40.2474i	0.402696	+	0.362589i
$112$	−110.036	+	108.823i	−0.982462	+	0.971633i
$113$	−5.30960	+	50.5174i	−0.0469876	+	0.447057i	0.945583	+	0.325382i	$0.105493\pi$
$113$	−5.30960	+	50.5174i	−0.0469876	+	0.447057i	−0.992570	+	0.121674i	$0.961174\pi$
$114$	−17.0347	+	3.82975i	−0.149427	+	0.0335943i
$115$	8.87473	−	19.9330i	0.0771716	−	0.173330i
$116$	−67.5348	+	51.5246i	−0.582196	+	0.444177i
$117$	−1.75428	+	0.781054i	−0.0149938	+	0.00667568i
$118$	−147.013	−	82.5988i	−1.24587	−	0.699990i
$119$	−95.8326	+	55.3290i	−0.805316	+	0.464949i
$120$	39.0002	−	57.8460i	0.325002	−	0.482050i
$121$	−114.676	−	24.3752i	−0.947740	−	0.201448i
$122$	11.0732	−	35.4877i	0.0907636	−	0.290883i
$123$		−	94.1769i		−	0.765666i
$124$	88.0190	+	87.3422i	0.709830	+	0.704373i
$125$	119.861			0.958889
$126$	−4.29433	−	1.33995i	−0.0340820	−	0.0106345i
$127$	18.6510	−	87.7461i	0.146858	−	0.690914i	−0.841684	−	0.539971i	$-0.818435\pi$
$127$	18.6510	−	87.7461i	0.146858	−	0.690914i	0.988542	−	0.150944i	$-0.0482313\pi$
$128$	−109.364	−	66.5093i	−0.854407	−	0.519604i
$129$	84.4967	+	146.353i	0.655013	+	1.13452i
$130$	23.2181	−	41.3244i	0.178600	−	0.317880i
$131$	11.3510	+	25.4948i	0.0866489	+	0.194617i	0.951673	−	0.307114i	$-0.0993634\pi$
$131$	11.3510	+	25.4948i	0.0866489	+	0.194617i	−0.865024	+	0.501731i	$0.832697\pi$
$132$	18.7410	−	14.2981i	0.141977	−	0.108319i
$133$	−25.3872	−	11.3031i	−0.190881	−	0.0849859i
$134$	−43.2798	−	192.508i	−0.322984	−	1.43663i
$135$	−76.0390	−	7.99202i	−0.563252	−	0.0592002i
$136$	−63.5919	−	65.8241i	−0.467587	−	0.484000i
$137$	102.067	−	113.357i	0.745017	−	0.827426i	−0.244829	−	0.969566i	$-0.578732\pi$
$137$	102.067	−	113.357i	0.745017	−	0.827426i	0.989846	+	0.142141i	$0.0453985\pi$
$138$	−5.36669	−	45.8876i	−0.0388891	−	0.332518i
$139$	50.6469	−	16.4562i	0.364367	−	0.118390i	−0.121111	−	0.992639i	$-0.538646\pi$
$139$	50.6469	−	16.4562i	0.364367	−	0.118390i	0.485478	+	0.874249i	$0.338646\pi$
$140$	104.774	−	36.7760i	0.748386	−	0.262686i
$141$	−18.0760	−	171.982i	−0.128199	−	1.21973i
$142$	−0.240064	−	0.211119i	−0.00169059	−	0.00148676i
$143$	11.9020	−	10.7166i	0.0832310	−	0.0749415i
$144$	0.215314	−	3.71446i	0.00149524	−	0.0257949i
$145$	59.6173	−	12.6720i	0.411154	−	0.0873934i
$146$	27.6567	+	11.9277i	0.189429	+	0.0816962i
$147$	−79.5762	−	109.527i	−0.541335	−	0.745084i
$148$	−71.5626	+	33.8905i	−0.483531	+	0.228990i
$149$	−66.4399	+	115.077i	−0.445905	+	0.772330i	−0.998115	−	0.0613750i	$-0.980451\pi$
$149$	−66.4399	+	115.077i	−0.445905	+	0.772330i	0.552210	+	0.833705i	$0.313785\pi$
$150$	87.6184	−	51.9632i	0.584123	−	0.346422i
$151$	−155.280	+	213.725i	−1.02835	+	1.41540i	−0.122163	+	0.992510i	$0.538983\pi$
$151$	−155.280	+	213.725i	−1.02835	+	1.41540i	−0.906183	+	0.422887i	$0.861017\pi$
$152$	3.98658	−	22.6364i	0.0262275	−	0.148924i
$153$	0.822118	−	2.53022i	0.00537332	−	0.0165374i
$154$	37.5163	−	0.439130i	0.243612	−	0.00285150i
$155$	−30.2546	−	83.6692i	−0.195191	−	0.539801i
$156$	−2.34924	−	100.338i	−0.0150593	−	0.643192i
$157$	29.0237	−	89.3257i	0.184864	−	0.568954i	−0.815082	−	0.579346i	$-0.803308\pi$
$157$	29.0237	−	89.3257i	0.184864	−	0.568954i	0.999946	+	0.0103924i	$0.00330805\pi$
$158$	59.1506	−	295.232i	0.374371	−	1.86856i
$159$	−162.268	+	223.343i	−1.02055	+	1.40467i
$160$	50.4941	+	76.7148i	0.315588	+	0.479468i
$161$	36.7671	−	63.6825i	0.228367	−	0.395544i
$162$	−150.918	+	69.3210i	−0.931595	+	0.427907i
$163$	−141.773	−	195.134i	−0.869774	−	1.19714i	−0.979149	−	0.203141i	$-0.934885\pi$
$163$	−141.773	−	195.134i	−0.869774	−	1.19714i	0.109375	−	0.994001i	$-0.465115\pi$
$164$	114.409	+	47.7614i	0.697614	+	0.291228i
$165$	−16.5439	+	3.51651i	−0.100266	+	0.0213122i
$166$	−241.442	−	22.5228i	−1.45447	−	0.135679i
$167$	−80.6021	+	72.5745i	−0.482647	+	0.434578i	−0.874191	−	0.485582i	$-0.838608\pi$
$167$	−80.6021	+	72.5745i	−0.482647	+	0.434578i	0.391544	+	0.920159i	$0.371941\pi$
$168$	151.094	−	180.142i	0.899367	−	1.07227i
$169$	10.5374	+	100.257i	0.0623516	+	0.593236i
$170$	21.0227	+	62.2138i	0.123663	+	0.365964i
$171$	0.635420	−	0.206460i	0.00371591	−	0.00120737i
$172$	−220.645	+	28.4267i	−1.28282	+	0.165272i
$173$	−166.187	+	184.569i	−0.960618	+	1.06687i	0.0370973	+	0.999312i	$0.488189\pi$
$173$	−166.187	+	184.569i	−0.960618	+	1.06687i	−0.997715	+	0.0675625i	$0.978478\pi$
$174$	94.8884	−	87.4704i	0.545336	−	0.502704i
$175$	161.249	+	16.9480i	0.921425	+	0.0968457i
$176$	7.86534	+	30.0183i	0.0446894	+	0.170558i
$177$	234.040	+	104.201i	1.32226	+	0.588707i
$178$	−256.034	+	190.638i	−1.43840	+	1.07100i
$179$	38.8966	+	87.3633i	0.217300	+	0.488063i	0.988999	−	0.147925i	$-0.0472594\pi$
$179$	38.8966	+	87.3633i	0.217300	+	0.488063i	−0.771699	+	0.635988i	$0.780593\pi$
$180$	−1.28034	+	2.34258i	−0.00711298	+	0.0130144i
$181$	−40.2967	−	69.7960i	−0.222634	−	0.385613i	0.732973	−	0.680258i	$-0.238132\pi$
$181$	−40.2967	−	69.7960i	−0.222634	−	0.385613i	−0.955607	+	0.294644i	$0.904799\pi$
$182$	92.3770	−	130.327i	0.507566	−	0.716082i
$183$	−11.7426	+	55.2444i	−0.0641669	+	0.301882i
$184$	58.4671	+	16.7521i	0.317756	+	0.0910439i
$185$	56.8138			0.307102
$186$	−145.470	−	119.701i	−0.782097	−	0.643554i
$187$			22.1887i			0.118656i
$188$	218.095	+	65.2606i	1.16008	+	0.347131i
$189$	−252.043	−	53.5733i	−1.33356	−	0.283457i
$190$	−9.53681	+	13.4547i	−0.0501937	+	0.0708141i
$191$	−206.405	+	119.168i	−1.08065	+	0.623916i	−0.931073	−	0.364834i	$-0.881126\pi$
$191$	−206.405	+	119.168i	−1.08065	+	0.623916i	−0.149581	+	0.988749i	$0.547792\pi$
$192$	174.819	+	85.1753i	0.910515	+	0.443621i
$193$	−74.7563	+	33.2836i	−0.387338	+	0.172454i	−0.591161	−	0.806554i	$-0.701330\pi$
$193$	−74.7563	+	33.2836i	−0.387338	+	0.172454i	0.203823	+	0.979008i	$0.434663\pi$
$194$	166.651	−	124.085i	0.859024	−	0.639612i
$195$	−29.2904	+	65.7873i	−0.150207	+	0.337371i
$196$	173.413	−	41.1250i	0.884762	−	0.209821i
$197$	17.3249	−	164.835i	0.0879436	−	0.836728i	−0.858273	−	0.513194i	$-0.828462\pi$
$197$	17.3249	−	164.835i	0.0879436	−	0.836728i	0.946217	−	0.323534i	$-0.104871\pi$
$198$	−0.663226	+	0.611378i	−0.00334962	+	0.00308777i
$199$	93.3008	+	84.0084i	0.468848	+	0.422153i	0.869391	−	0.494125i	$-0.164512\pi$
$199$	93.3008	+	84.0084i	0.468848	+	0.422153i	−0.400542	+	0.916278i	$0.631178\pi$
$200$	18.6910	+	132.794i	0.0934551	+	0.663970i
$201$	92.6337	+	285.097i	0.460864	+	1.41839i
$202$	38.9435	+	115.248i	0.192790	+	0.570536i
$203$	204.282	−	21.4709i	1.00631	−	0.105768i
$204$	105.483	+	90.5978i	0.517074	+	0.444107i
$205$	−59.5227	−	66.1066i	−0.290355	−	0.322471i
$206$	185.777	+	17.3301i	0.901831	+	0.0841268i
$207$	0.367568	+	1.72927i	0.00177569	+	0.00835397i
$208$	123.085	+	48.0320i	0.591753	+	0.230923i
$209$	−4.50808	+	3.27531i	−0.0215698	+	0.0156714i
$210$	−153.301	+	70.4154i	−0.730005	+	0.335311i
$211$	35.8935	+	20.7231i	0.170112	+	0.0982139i	0.582638	−	0.812731i	$-0.302020\pi$
$211$	35.8935	+	20.7231i	0.170112	+	0.0982139i	−0.412527	+	0.910945i	$0.635354\pi$
$212$	−189.029	−	310.395i	−0.891648	−	1.46413i
$213$	0.392933	+	0.285482i	0.00184475	+	0.00134029i
$214$	−65.5511	+	327.178i	−0.306314	+	1.52887i
$215$	151.811	+	49.3264i	0.706098	+	0.229425i
$216$	−7.48187	−	212.989i	−0.0346383	−	0.986059i
$217$	−71.9289	−	291.090i	−0.331470	−	1.34143i
$218$	275.838	−	3.22870i	1.26531	−	0.0148105i
$219$	−43.5190	−	14.1402i	−0.198717	−	0.0645670i
$220$	4.11821	−	21.8813i	0.0187191	−	0.0994605i
$221$	76.4308	+	55.5302i	0.345841	+	0.251268i
$222$	103.470	−	61.3640i	0.466079	−	0.276414i
$223$	229.553	+	132.533i	1.02939	+	0.594316i	0.916809	−	0.399327i	$-0.130756\pi$
$223$	229.553	+	132.533i	1.02939	+	0.594316i	0.112577	+	0.993643i	$0.464089\pi$
$224$	142.215	+	274.911i	0.634888	+	1.22728i
$225$	−3.15363	+	2.29125i	−0.0140161	+	0.0101833i
$226$	93.2856	+	40.2319i	0.412768	+	0.178017i
$227$	−4.72010	−	22.2063i	−0.0207934	−	0.0978253i	0.966527	−	0.256564i	$-0.0825905\pi$
$227$	−4.72010	−	22.2063i	−0.0207934	−	0.0978253i	−0.987321	+	0.158739i	$0.949257\pi$
$228$	−2.83622	+	34.8043i	−0.0124396	+	0.152651i
$229$	−228.582	−	253.866i	−0.998175	−	1.10859i	−0.994086	−	0.108594i	$-0.965365\pi$
$229$	−228.582	−	253.866i	−0.998175	−	1.10859i	−0.00408919	−	0.999992i	$-0.501302\pi$
$230$	−32.7694	−	28.8184i	−0.142476	−	0.125298i
$231$	−56.6885	+	5.95820i	−0.245405	+	0.0257931i
$232$	58.1392	+	159.633i	0.250600	+	0.688074i
$233$	−112.254	−	345.483i	−0.481778	−	1.48276i	−0.836594	−	0.547824i	$-0.815457\pi$
$233$	−112.254	−	345.483i	−0.481778	−	1.48276i	0.354816	−	0.934936i	$-0.384543\pi$
$234$	0.446128	+	3.81459i	0.00190653	+	0.0163017i
$235$	−121.386	−	109.296i	−0.516536	−	0.465091i
$236$	−245.279	+	231.472i	−1.03932	+	0.980816i
$237$	−47.8162	+	454.940i	−0.201756	+	1.91958i
$238$	48.5448	+	215.926i	0.203970	+	0.907253i
$239$	84.3746	−	189.508i	0.353032	−	0.792922i	−0.646517	−	0.762899i	$-0.723775\pi$
$239$	84.3746	−	189.508i	0.353032	−	0.792922i	0.999549	−	0.0300231i	$-0.00955808\pi$
$240$	−87.2070	−	108.920i	−0.363362	−	0.453835i
$241$	252.237	−	112.303i	1.04663	−	0.465988i	0.189924	−	0.981799i	$-0.439176\pi$
$241$	252.237	−	112.303i	1.04663	−	0.465988i	0.856703	+	0.515810i	$0.172509\pi$
$242$	−114.854	+	204.421i	−0.474602	+	0.844716i
$243$	10.8723	−	6.27712i	0.0447419	−	0.0258318i
$244$	−61.1571	−	42.2821i	−0.250644	−	0.173287i
$245$	−125.082	−	26.5871i	−0.510540	−	0.108519i
$246$	−179.804	−	56.1039i	−0.730911	−	0.228065i
$247$			23.7254i			0.0960542i
$248$	219.191	−	116.015i	0.883833	−	0.467802i
$249$	368.404			1.47953
$250$	71.4047	−	228.841i	0.285619	−	0.915363i
$251$	−28.3760	+	133.498i	−0.113052	+	0.531866i	0.884778	+	0.466013i	$0.154310\pi$
$251$	−28.3760	+	133.498i	−0.113052	+	0.531866i	−0.997829	+	0.0658528i	$0.979023\pi$
$252$	−5.11651	+	7.40055i	−0.0203036	+	0.0293673i
$253$	−7.37239	−	12.7694i	−0.0291399	−	0.0504718i
$254$	−156.415	−	87.8817i	−0.615809	−	0.345991i
$255$	−40.5797	−	91.1436i	−0.159136	−	0.357426i
$256$	−192.132	+	169.178i	−0.750515	+	0.660853i
$257$	−40.7515	−	18.1437i	−0.158566	−	0.0705981i	0.325919	−	0.945398i	$-0.394326\pi$
$257$	−40.7515	−	18.1437i	−0.158566	−	0.0705981i	−0.484485	+	0.874800i	$0.660993\pi$
$258$	329.756	−	74.1360i	1.27812	−	0.287349i
$259$	190.421	+	20.0141i	0.735218	+	0.0772745i
$260$	−65.0656	−	68.9465i	−0.250252	−	0.265179i
$261$	−3.30442	+	3.66993i	−0.0126606	+	0.0140610i
$262$	55.4372	−	6.48355i	0.211592	−	0.0247464i
$263$	−44.4899	+	14.4556i	−0.169163	+	0.0549644i	−0.392374	−	0.919806i	$-0.628346\pi$
$263$	−44.4899	+	14.4556i	−0.169163	+	0.0549644i	0.223211	+	0.974770i	$0.428346\pi$
$264$	−16.1337	−	44.2984i	−0.0611125	−	0.167797i
$265$	27.2569	+	259.332i	0.102856	+	0.978611i
$266$	−36.7040	+	41.7361i	−0.137985	+	0.156903i
$267$	360.399	−	324.505i	1.34981	−	1.21537i
$268$	−393.322	−	32.0520i	−1.46762	−	0.119597i
$269$	120.437	−	25.5996i	0.447720	−	0.0951658i	0.0214665	−	0.999770i	$-0.493166\pi$
$269$	120.437	−	25.5996i	0.447720	−	0.0951658i	0.426254	+	0.904604i	$0.359833\pi$
$270$	−60.5571	+	140.414i	−0.224286	+	0.520051i
$271$	−60.1299	−	82.7617i	−0.221882	−	0.305394i	0.683535	−	0.729918i	$-0.260442\pi$
$271$	−60.1299	−	82.7617i	−0.221882	−	0.305394i	−0.905417	+	0.424524i	$0.860442\pi$
$272$	−163.556	+	82.1974i	−0.601308	+	0.302196i
$273$	−121.347	+	210.179i	−0.444495	+	0.769887i
$274$	−155.619	−	262.399i	−0.567953	−	0.957660i
$275$	19.1096	−	26.3021i	0.0694895	−	0.0956440i
$276$	−90.8064	−	17.0904i	−0.329009	−	0.0619216i
$277$	36.5178	−	112.390i	0.131833	−	0.405741i	−0.863251	−	0.504775i	$-0.831575\pi$
$277$	36.5178	−	112.390i	0.131833	−	0.405741i	0.995084	+	0.0990342i	$0.0315753\pi$
$278$	−1.24658	−	106.499i	−0.00448411	−	0.383091i
$279$	5.96795	+	4.04366i	0.0213905	+	0.0144934i
$280$	−7.79648	−	221.945i	−0.0278446	−	0.792660i
$281$	−112.228	+	345.402i	−0.399388	+	1.22919i	0.526104	+	0.850420i	$0.323652\pi$
$281$	−112.228	+	345.402i	−0.399388	+	1.22919i	−0.925491	+	0.378769i	$0.876348\pi$
$282$	−339.119	−	67.9434i	−1.20255	−	0.240934i
$283$	273.444	−	376.363i	0.966232	−	1.32990i	0.0223047	−	0.999751i	$-0.492900\pi$
$283$	273.444	−	376.363i	0.966232	−	1.32990i	0.943927	−	0.330153i	$-0.107100\pi$
$284$	−0.546085	+	0.332564i	−0.00192284	+	0.00117100i
$285$	12.5276	−	21.6985i	0.0439565	−	0.0761350i
$286$	−13.3700	−	29.1078i	−0.0467482	−	0.101775i
$287$	−176.213	−	242.536i	−0.613982	−	0.845074i
$288$	−6.96345	−	2.62390i	−0.0241786	−	0.00911075i
$289$	154.658	−	32.8737i	0.535150	−	0.113750i
$290$	11.3221	−	121.371i	0.0390416	−	0.418522i
$291$	−234.581	+	211.217i	−0.806119	+	0.725833i
$292$	39.2483	−	45.6969i	0.134412	−	0.156496i
$293$	33.1081	+	315.003i	0.112997	+	1.07509i	0.893228	+	0.449603i	$0.148435\pi$
$293$	33.1081	+	315.003i	0.112997	+	1.07509i	−0.780232	+	0.625491i	$0.784899\pi$
$294$	−256.517	+	86.6797i	−0.872507	+	0.294829i
$295$	230.140	−	74.7771i	0.780137	−	0.253482i
$296$	22.0724	+	156.818i	0.0745691	+	0.529791i
$297$	−34.5724	+	38.3965i	−0.116405	+	0.129281i
$298$	180.127	+	195.403i	0.604454	+	0.655714i
$299$	−62.4355	−	6.56224i	−0.208814	−	0.0219473i
$300$	−47.0123	−	198.238i	−0.156708	−	0.660795i
$301$	491.445	+	218.805i	1.63271	+	0.726928i
$302$	315.542	+	423.786i	1.04484	+	1.40326i
$303$	−75.1721	−	168.839i	−0.248093	−	0.557225i
$304$	−40.8429	−	21.0964i	−0.134352	−	0.0693960i
$305$	26.6735	+	46.1999i	0.0874542	+	0.151475i
$306$	−4.34098	−	3.07693i	−0.0141862	−	0.0100553i
$307$	70.3201	−	330.830i	0.229056	−	1.07762i	−0.701839	−	0.712336i	$-0.747637\pi$
$307$	70.3201	−	330.830i	0.229056	−	1.07762i	0.930895	−	0.365287i	$-0.119029\pi$
$308$	21.5111	−	71.8883i	0.0698414	−	0.233404i
$309$	−283.468			−0.917373
$310$	−177.766	+	7.91838i	−0.573439	+	0.0255432i
$311$			181.418i			0.583338i	0.956519	+	0.291669i	$0.0942106\pi$
$311$			181.418i			0.583338i	−0.956519	+	0.291669i	$0.905789\pi$
$312$	−192.966	−	55.2890i	−0.618482	−	0.177208i
$313$	−252.995	−	53.7758i	−0.808292	−	0.171808i	−0.214811	−	0.976656i	$-0.568914\pi$
$313$	−252.995	−	53.7758i	−0.808292	−	0.171808i	−0.593481	+	0.804848i	$0.702247\pi$
$314$	−153.252	−	108.626i	−0.488063	−	0.345944i
$315$	5.59060	−	3.22773i	0.0177479	−	0.0102468i
$316$	−528.424	−	288.810i	−1.67223	−	0.913954i
$317$	508.219	−	226.274i	1.60322	−	0.713797i	0.606523	−	0.795066i	$-0.292564\pi$
$317$	508.219	−	226.274i	1.60322	−	0.713797i	0.996692	+	0.0812686i	$0.0258972\pi$
$318$	329.742	+	442.857i	1.03693	+	1.39263i
$319$	16.7524	−	37.6266i	0.0525155	−	0.117952i
$320$	176.546	−	50.7028i	0.551706	−	0.158446i
$321$	52.9902	−	504.168i	0.165079	−	1.57062i
$322$	−99.6805	−	108.134i	−0.309567	−	0.335819i
$323$	−24.4270	−	21.9942i	−0.0756255	−	0.0680935i
$324$	42.4423	+	329.433i	0.130995	+	1.01677i
$325$	−42.7754	−	131.649i	−0.131617	−	0.405074i
$326$	−457.012	+	154.429i	−1.40188	+	0.473708i
$327$	−416.801	+	43.8076i	−1.27462	+	0.133968i
$328$	159.343	−	189.978i	0.485803	−	0.579201i
$329$	−368.344	−	409.087i	−1.11959	−	1.24343i
$330$	−3.14189	+	33.6807i	−0.00952087	+	0.102063i
$331$	27.9521	+	131.504i	0.0844474	+	0.397294i	0.999988	−	0.00493224i	$-0.00156999\pi$
$331$	27.9521	+	131.504i	0.0844474	+	0.397294i	−0.915540	+	0.402226i	$0.868237\pi$
$332$	−186.835	+	447.547i	−0.562755	+	1.34803i
$333$	−3.72416	+	2.70576i	−0.0111837	+	0.00812541i
$334$	90.5433	+	197.122i	0.271088	+	0.590184i
$335$	245.213	+	141.574i	0.731981	+	0.422609i
$336$	−253.919	−	395.786i	−0.755713	−	1.17794i
$337$	−88.0910	−	64.0018i	−0.261398	−	0.189916i	0.449365	−	0.893348i	$-0.351650\pi$
$337$	−88.0910	−	64.0018i	−0.261398	−	0.189916i	−0.710763	+	0.703432i	$0.751650\pi$
$338$	197.689	+	39.6077i	0.584880	+	0.117182i
$339$	−146.789	−	47.6947i	−0.433006	−	0.140692i
$340$	131.303	−	3.07425i	0.386187	−	0.00904191i
$341$	−57.7598	−	16.6935i	−0.169384	−	0.0489545i
$342$	−0.0156397	−	1.33615i	−4.57301e−5	−	0.00390687i
$343$	40.8825	+	13.2835i	0.119191	+	0.0387275i
$344$	−77.1719	+	438.194i	−0.224337	+	1.27382i
$345$	53.6365	+	38.9692i	0.155468	+	0.112954i
$346$	253.380	+	427.240i	0.732313	+	1.23480i
$347$	−146.866	−	84.7929i	−0.423244	−	0.244360i	0.273220	−	0.961951i	$-0.411911\pi$
$347$	−146.866	−	84.7929i	−0.423244	−	0.244360i	−0.696464	+	0.717592i	$0.745244\pi$
$348$	−110.472	−	233.271i	−0.317449	−	0.670319i
$349$	−357.696	+	259.881i	−1.02492	+	0.744645i	−0.967285	−	0.253692i	$-0.918355\pi$
$349$	−357.696	+	259.881i	−1.02492	+	0.744645i	−0.0576317	+	0.998338i	$0.518355\pi$
$350$	128.418	−	297.764i	0.366910	−	0.850753i
$351$	45.7379	+	215.180i	0.130307	+	0.613048i
$352$	61.9970	+	2.86612i	0.176128	+	0.00814240i
$353$	−205.801	−	228.565i	−0.583006	−	0.647494i	0.377415	−	0.926044i	$-0.376813\pi$
$353$	−205.801	−	228.565i	−0.583006	−	0.647494i	−0.960422	+	0.278550i	$0.910146\pi$
$354$	338.367	−	384.757i	0.955839	−	1.08688i
$355$	0.456249	−	0.0479537i	0.00128521	−	0.000135081i
$356$	211.442	+	602.394i	0.593939	+	1.69212i
$357$	−103.902	−	319.779i	−0.291043	−	0.895739i
$358$	189.967	−	22.2173i	0.530635	−	0.0620594i
$359$	−379.171	−	341.407i	−1.05619	−	0.950994i	−0.0573081	−	0.998357i	$-0.518252\pi$
$359$	−379.171	−	341.407i	−1.05619	−	0.950994i	−0.998878	+	0.0473625i	$0.984918\pi$
$360$	3.70977	+	3.83999i	0.0103049	+	0.0106666i
$361$	−36.8719	+	350.813i	−0.102138	+	0.971781i
$362$	−157.262	+	35.3557i	−0.434424	+	0.0976677i
$363$	144.892	−	325.432i	0.399151	−	0.896508i
$364$	−193.791	−	254.007i	−0.532392	−	0.697822i
$365$	−39.4848	+	17.5798i	−0.108177	+	0.0481637i
$366$	98.4781	+	55.3297i	0.269066	+	0.151174i
$367$	−63.9694	+	36.9328i	−0.174304	+	0.100634i	−0.584614	−	0.811312i	$-0.698754\pi$
$367$	−63.9694	+	36.9328i	−0.174304	+	0.100634i	0.410310	+	0.911946i	$0.365421\pi$
$368$	66.8139	−	101.647i	0.181559	−	0.276214i
$369$	7.05006	+	1.49854i	0.0191059	+	0.00406108i
$370$	33.8456	−	108.470i	0.0914746	−	0.293162i
$371$			878.799i			2.36873i
$372$	−315.196	+	206.424i	−0.847301	+	0.554904i
$373$	287.849			0.771713			0.385857	−	0.922559i	$-0.373906\pi$
$373$	287.849			0.771713			0.385857	+	0.922559i	$0.373906\pi$
$374$	42.3630	+	13.2184i	0.113270	+	0.0353434i
$375$	−75.7212	+	356.240i	−0.201923	+	0.949975i
$376$	254.522	−	377.513i	0.676920	−	1.00402i
$377$	−87.6826	−	151.871i	−0.232580	−	0.402840i
$378$	−252.432	+	449.289i	−0.667810	+	1.18859i
$379$	−252.415	−	566.933i	−0.666003	−	1.49587i	−0.857559	−	0.514385i	$-0.828020\pi$
$379$	−252.415	−	566.933i	−0.666003	−	1.49587i	0.191557	−	0.981482i	$-0.438646\pi$
$380$	20.0065	+	26.2232i	0.0526488	+	0.0690083i
$381$	249.009	+	110.866i	0.653566	+	0.290986i
$382$	104.556	+	465.063i	0.273707	+	1.21744i
$383$	680.335	+	71.5061i	1.77633	+	0.186700i	0.935198	−	0.354126i	$-0.115222\pi$
$383$	680.335	+	71.5061i	1.77633	+	0.186700i	0.841134	+	0.540826i	$0.181888\pi$
$384$	266.763	−	283.026i	0.694695	−	0.737046i
$385$	−36.0262	+	40.0111i	−0.0935745	+	0.103925i
$386$	19.0112	+	162.554i	0.0492518	+	0.421124i
$387$	−12.3004	+	3.99665i	−0.0317840	+	0.0103273i
$388$	−137.626	−	392.093i	−0.354706	−	1.01055i
$389$	9.27630	+	88.2581i	0.0238465	+	0.226884i	0.999954	+	0.00959602i	$0.00305455\pi$
$389$	9.27630	+	88.2581i	0.0238465	+	0.226884i	−0.976107	+	0.217288i	$0.930279\pi$
$390$	108.153	+	95.1130i	0.277315	+	0.243880i
$391$	64.6361	−	58.1986i	0.165310	−	0.148846i
$392$	24.7908	−	355.583i	0.0632419	−	0.907100i
$393$	−82.9443	+	17.6303i	−0.211054	+	0.0448609i
$394$	−304.385	−	131.274i	−0.772552	−	0.333183i
$395$	253.972	+	349.563i	0.642967	+	0.884969i
$396$	0.772149	+	1.63046i	0.00194987	+	0.00411731i
$397$	−275.649	+	477.439i	−0.694331	+	1.20262i	0.276074	+	0.961136i	$0.410966\pi$
$397$	−275.649	+	477.439i	−0.694331	+	1.20262i	−0.970406	+	0.241481i	$0.922367\pi$
$398$	215.972	−	128.085i	0.542644	−	0.321822i
$399$	49.6323	−	68.3130i	0.124392	−	0.171211i
$400$	264.667	+	43.4241i	0.661669	+	0.108560i
$401$	−166.487	+	512.394i	−0.415179	+	1.27779i	0.496912	+	0.867801i	$0.334467\pi$
$401$	−166.487	+	512.394i	−0.415179	+	1.27779i	−0.912091	+	0.409989i	$0.865533\pi$
$402$	599.497	−	7.01715i	1.49129	−	0.0174556i
$403$	−202.054	+	157.181i	−0.501374	+	0.390026i
$404$	243.234	−	5.69491i	0.602063	−	0.0140963i
$405$	73.6464	−	226.660i	0.181843	−	0.559655i
$406$	80.7040	−	402.809i	0.198778	−	0.992141i
$407$	22.5668	−	31.0605i	0.0554466	−	0.0763157i
$408$	235.810	−	147.418i	0.577966	−	0.361320i
$409$	47.3010	−	81.9277i	0.115650	−	0.200312i	−0.802389	−	0.596801i	$-0.796438\pi$
$409$	47.3010	−	81.9277i	0.115650	−	0.200312i	0.918039	+	0.396489i	$0.129771\pi$
$410$	−161.671	+	74.2601i	−0.394320	+	0.181122i
$411$	272.430	+	374.968i	0.662848	+	0.912331i
$412$	143.760	−	344.365i	0.348931	−	0.835837i
$413$	797.698	−	169.556i	1.93147	−	0.410547i
$414$	3.52052	+	0.328410i	0.00850368	+	0.000793261i
$415$	258.598	−	232.843i	0.623127	−	0.561066i
$416$	165.029	−	206.381i	0.396703	−	0.496108i
$417$	16.9138	+	160.924i	0.0405608	+	0.385910i
$418$	3.56769	+	10.5581i	0.00853514	+	0.0252586i
$419$	−200.856	+	65.2621i	−0.479370	+	0.155757i	−0.538728	−	0.842480i	$-0.681095\pi$
$419$	−200.856	+	65.2621i	−0.479370	+	0.155757i	0.0593576	+	0.998237i	$0.481095\pi$
$420$	43.1123	+	334.633i	0.102648	+	0.796746i
$421$	−41.1053	+	45.6521i	−0.0976374	+	0.108437i	−0.789983	−	0.613129i	$-0.789911\pi$
$421$	−41.1053	+	45.6521i	−0.0976374	+	0.108437i	0.692346	+	0.721566i	$0.256577\pi$
$422$	60.9478	−	56.1831i	0.144426	−	0.133135i
$423$	13.1621	+	1.38340i	0.0311161	+	0.00327044i
$424$	−705.222	+	175.987i	−1.66326	+	0.415063i
$425$	175.197	+	78.0026i	0.412228	+	0.183536i
$426$	0.779129	−	0.580123i	0.00182894	−	0.00136179i
$427$	73.1259	+	164.244i	0.171255	+	0.384645i
$428$	585.603	+	320.061i	1.36823	+	0.747805i
$429$	24.3320	+	42.1443i	0.0567180	+	0.0982385i
$430$	184.613	−	260.455i	0.429332	−	0.605709i
$431$	−18.2275	+	85.7538i	−0.0422913	+	0.198965i	−0.994221	−	0.107351i	$-0.965763\pi$
$431$	−18.2275	+	85.7538i	−0.0422913	+	0.198965i	0.951930	+	0.306316i	$0.0990964\pi$
$432$	−411.099	−	112.599i	−0.951617	−	0.260646i
$433$	−302.391			−0.698362			−0.349181	−	0.937055i	$-0.613540\pi$
$433$	−302.391			−0.698362			−0.349181	+	0.937055i	$0.613540\pi$
$434$	−598.604	−	36.0828i	−1.37927	−	0.0831400i
$435$			185.195i			0.425735i
$436$	158.160	−	528.558i	0.362753	−	1.21229i
$437$	21.3653	+	4.54133i	0.0488908	+	0.0103921i
$438$	−52.9222	+	74.6635i	−0.120827	+	0.170465i
$439$	−331.814	+	191.573i	−0.755841	+	0.436385i	−0.827801	−	0.561022i	$-0.810408\pi$
$439$	−331.814	+	191.573i	−0.755841	+	0.436385i	0.0719593	+	0.997408i	$0.477075\pi$
$440$	−39.3228	−	20.8979i	−0.0893701	−	0.0474952i
$441$	9.46539	−	4.21427i	0.0214635	−	0.00955616i
$442$	151.551	−	112.842i	0.342876	−	0.255299i
$443$	−76.8648	+	172.641i	−0.173510	+	0.389709i	−0.979278	−	0.202522i	$-0.935086\pi$
$443$	−76.8648	+	172.641i	−0.173510	+	0.389709i	0.805768	+	0.592231i	$0.201753\pi$
$444$	−55.5173	−	234.102i	−0.125039	−	0.527257i
$445$	47.8820	−	455.567i	0.107600	−	1.02375i
$446$	389.785	−	359.313i	0.873957	−	0.805635i
$447$	−300.049	−	270.166i	−0.671252	−	0.604398i
$448$	609.586	−	107.747i	1.36068	−	0.240506i
$449$	−5.83988	−	17.9733i	−0.0130064	−	0.0400296i	0.944343	−	0.328963i	$-0.106699\pi$
$449$	−5.83988	−	17.9733i	−0.0130064	−	0.0400296i	−0.957349	+	0.288934i	$0.906699\pi$
$450$	2.49578	+	7.38593i	0.00554617	+	0.0164132i
$451$	−59.7837	+	6.28352i	−0.132558	+	0.0139324i
$452$	132.384	−	154.135i	0.292885	−	0.341007i
$453$	−537.117	−	596.529i	−1.18569	−	1.31684i
$454$	−45.2086	−	4.21726i	−0.0995784	−	0.00928911i
$455$	47.6612	+	224.228i	0.104750	+	0.492810i
$456$	64.7594	+	26.1489i	0.142016	+	0.0573441i
$457$	−169.668	+	123.271i	−0.371264	+	0.269739i	−0.757735	−	0.652563i	$-0.773694\pi$
$457$	−169.668	+	123.271i	−0.371264	+	0.269739i	0.386471	+	0.922302i	$0.373694\pi$
$458$	−620.858	+	285.177i	−1.35559	+	0.622658i
$459$	−263.944	−	152.388i	−0.575042	−	0.332001i
$460$	−74.5423	+	45.3960i	−0.162049	+	0.0986869i
$461$	−159.535	−	115.909i	−0.346064	−	0.251430i	0.401152	−	0.916011i	$-0.368610\pi$
$461$	−159.535	−	115.909i	−0.346064	−	0.251430i	−0.747216	+	0.664581i	$0.768610\pi$
$462$	−22.3955	+	111.780i	−0.0484750	+	0.241948i
$463$	−563.153	−	182.980i	−1.21631	−	0.395204i	−0.370576	−	0.928802i	$-0.620840\pi$
$463$	−563.153	−	182.980i	−1.21631	−	0.395204i	−0.845738	+	0.533598i	$0.820840\pi$
$464$	339.409	−	15.9021i	0.731486	−	0.0342718i
$465$	267.787	−	37.0626i	0.575887	−	0.0797046i
$466$	−726.475	+	8.50343i	−1.55896	+	0.0182477i
$467$	−479.805	−	155.898i	−1.02742	−	0.333829i	−0.253650	−	0.967296i	$-0.581631\pi$
$467$	−479.805	−	155.898i	−1.02742	−	0.333829i	−0.773770	+	0.633467i	$0.781631\pi$
$468$	7.54865	+	1.42071i	0.0161296	+	0.00303570i
$469$	772.003	+	560.893i	1.64606	+	1.19593i
$470$	−280.984	+	166.641i	−0.597837	+	0.354555i
$471$	247.150	+	142.692i	0.524736	+	0.302956i
$472$	295.811	+	606.185i	0.626719	+	1.28429i
$473$	87.2672	−	63.4033i	0.184497	−	0.134045i
$474$	840.094	+	362.313i	1.77235	+	0.764373i
$475$	10.0133	+	47.1089i	0.0210806	+	0.0991766i
$476$	441.169	+	35.9511i	0.926827	+	0.0755274i
$477$	−14.1374	−	15.7012i	−0.0296382	−	0.0329165i
$478$	−311.548	−	273.985i	−0.651774	−	0.573190i
$479$	660.287	−	69.3989i	1.37847	−	0.144883i	0.613879	−	0.789400i	$-0.289608\pi$
$479$	660.287	−	69.3989i	1.37847	−	0.144883i	0.764590	+	0.644517i	$0.222942\pi$
$480$	−259.904	+	101.610i	−0.541467	+	0.211687i
$481$	−50.5140	−	155.466i	−0.105019	−	0.323214i
$482$	−64.1462	−	548.478i	−0.133083	−	1.13792i
$483$	166.044	+	149.507i	0.343777	+	0.309538i
$484$	321.863	+	341.060i	0.665005	+	0.704670i
$485$	−31.1660	+	296.524i	−0.0642597	+	0.611390i
$486$	−5.50744	−	24.4970i	−0.0113322	−	0.0504054i
$487$	−219.452	+	492.897i	−0.450619	+	1.01211i	0.535265	+	0.844684i	$0.320212\pi$
$487$	−219.452	+	492.897i	−0.450619	+	1.01211i	−0.985885	+	0.167424i	$0.946455\pi$
$488$	−117.159	+	91.5735i	−0.240079	+	0.187651i
$489$	669.524	−	298.091i	1.36917	−	0.609594i
$490$	−125.276	+	222.971i	−0.255665	+	0.455042i
$491$	274.202	−	158.311i	0.558457	−	0.322425i	−0.194069	−	0.980988i	$-0.562169\pi$
$491$	274.202	−	158.311i	0.558457	−	0.322425i	0.752526	+	0.658563i	$0.228835\pi$
$492$	−214.229	+	309.862i	−0.435425	+	0.629801i
$493$	237.647	+	50.5134i	0.482042	+	0.102461i
$494$	45.2969	+	14.1339i	0.0916941	+	0.0286111i
$495$		−	1.29442i		−	0.00261500i
$496$	−90.9194	−	487.596i	−0.183305	−	0.983056i
$497$	1.54609			0.00311085
$498$	219.469	−	703.363i	0.440701	−	1.41238i
$499$	−116.621	+	548.659i	−0.233710	+	1.09952i	0.692180	+	0.721725i	$0.256650\pi$
$499$	−116.621	+	548.659i	−0.233710	+	1.09952i	−0.925890	+	0.377793i	$0.876683\pi$
$500$	−394.369	−	272.654i	−0.788737	−	0.545308i
$501$	−164.780	−	285.407i	−0.328901	−	0.569674i
$502$	237.973	+	133.705i	0.474050	+	0.266344i
$503$	149.806	+	336.469i	0.297824	+	0.668924i	0.999030	−	0.0440347i	$-0.0140212\pi$
$503$	149.806	+	336.469i	0.297824	+	0.668924i	−0.701206	+	0.712959i	$0.747355\pi$
$504$	11.0812	+	14.1772i	0.0219865	+	0.0281295i
$505$	−159.478	−	71.0041i	−0.315798	−	0.140602i
$506$	−28.7714	+	6.46842i	−0.0568605	+	0.0127834i
$507$	−304.631	−	32.0181i	−0.600851	−	0.0631520i
$508$	−260.966	+	246.277i	−0.513713	+	0.484798i
$509$	−286.340	+	318.013i	−0.562555	+	0.624780i	−0.955574	−	0.294750i	$-0.904764\pi$
$509$	−286.340	+	318.013i	−0.562555	+	0.624780i	0.393020	+	0.919530i	$0.371430\pi$
$510$	−198.187	+	23.1786i	−0.388603	+	0.0454483i
$511$	−138.533	+	45.0121i	−0.271102	+	0.0880863i
$512$	208.540	+	467.606i	0.407304	+	0.913293i
$513$	−8.00053	−	76.1200i	−0.0155956	−	0.148382i
$514$	−58.9171	+	66.9946i	−0.114625	+	0.130340i
$515$	−198.978	+	179.161i	−0.386365	+	0.347885i
$516$	54.9034	−	673.740i	0.106402	−	1.30570i
$517$	−107.968	+	22.9494i	−0.208836	+	0.0443895i
$518$	151.651	−	351.633i	0.292762	−	0.678827i
$519$	−443.573	−	610.526i	−0.854669	−	1.17635i
$520$	−170.395	+	83.1509i	−0.327683	+	0.159906i
$521$	−358.490	+	620.922i	−0.688080	+	1.19179i	0.284378	+	0.958712i	$0.408213\pi$
$521$	−358.490	+	620.922i	−0.688080	+	1.19179i	−0.972458	+	0.233078i	$0.925120\pi$
$522$	5.03816	+	8.49514i	0.00965164	+	0.0162742i
$523$	−29.2995	+	40.3273i	−0.0560220	+	0.0771077i	−0.836109	−	0.548564i	$-0.815175\pi$
$523$	−29.2995	+	40.3273i	−0.0560220	+	0.0771077i	0.780087	+	0.625671i	$0.215175\pi$
$524$	20.6470	−	109.704i	0.0394027	−	0.209359i
$525$	−152.239	+	468.545i	−0.289980	+	0.892466i
$526$	1.09504	+	93.5524i	0.00208182	+	0.177856i
$527$	25.4814	−	353.741i	0.0483518	−	0.671235i
$528$	−94.1866	+	4.41286i	−0.178384	+	0.00835769i
$529$	145.610	−	448.140i	0.275254	−	0.847146i
$530$	511.359	+	102.452i	0.964828	+	0.193306i
$531$	−11.5245	+	15.8621i	−0.0217034	+	0.0298722i
$532$	57.8177	+	94.9393i	0.108680	+	0.178457i
$533$	−127.973	+	221.655i	−0.240099	+	0.415863i
$534$	−404.850	−	881.397i	−0.758146	−	1.65056i
$535$	−281.454	−	387.388i	−0.526081	−	0.724089i
$536$	−295.508	+	731.843i	−0.551320	+	1.36538i
$537$	−284.226	+	60.4141i	−0.529285	+	0.112503i
$538$	22.8724	−	245.190i	0.0425138	−	0.455744i
$539$	−64.2187	+	57.8228i	−0.119144	+	0.107278i
$540$	232.005	+	199.265i	0.429638	+	0.369010i
$541$	−71.7266	−	682.433i	−0.132582	−	1.26143i	−0.835233	−	0.549895i	$-0.814668\pi$
$541$	−71.7266	−	682.433i	−0.132582	−	1.26143i	0.702652	−	0.711534i	$-0.251999\pi$
$542$	−193.831	+	65.4975i	−0.357622	+	0.120844i
$543$	232.899	−	75.6733i	0.428911	−	0.139362i
$544$	59.4976	+	361.231i	0.109371	+	0.664027i
$545$	−264.882	+	294.181i	−0.486022	+	0.539782i
$546$	328.988	+	356.888i	0.602542	+	0.653640i
$547$	−47.8759	−	5.03196i	−0.0875244	−	0.00919919i	0.0606650	−	0.998158i	$-0.480678\pi$
$547$	−47.8759	−	5.03196i	−0.0875244	−	0.00919919i	−0.148189	+	0.988959i	$0.547345\pi$
$548$	−593.683	+	140.792i	−1.08336	+	0.256920i
$549$	−3.94873	−	1.75809i	−0.00719259	−	0.00320235i
$550$	−38.8323	−	52.1533i	−0.0706041	−	0.0948242i
$551$	24.8167	+	55.7391i	0.0450393	+	0.101160i
$552$	−86.7252	+	163.188i	−0.157111	+	0.295630i
$553$	728.090	+	1261.09i	1.31662	+	2.28045i
$554$	−192.823	−	136.675i	−0.348055	−	0.246705i
$555$	−35.8916	+	168.857i	−0.0646696	+	0.304247i
$556$	−204.073	−	61.0648i	−0.367038	−	0.109829i
$557$	−593.062			−1.06474			−0.532372	−	0.846511i	$-0.678699\pi$
$557$	−593.062			−1.06474			−0.532372	+	0.846511i	$0.678699\pi$
$558$	11.2755	−	8.98517i	0.0202070	−	0.0161025i
$559$		−	459.275i		−	0.821600i
$560$	−428.385	−	117.334i	−0.764974	−	0.209525i
$561$	−65.9473	−	14.0175i	−0.117553	−	0.0249867i
$562$	592.590	+	420.033i	1.05443	+	0.747390i
$563$	−58.8466	+	33.9751i	−0.104523	+	0.0603466i	−0.551350	−	0.834274i	$-0.685887\pi$
$563$	−58.8466	+	33.9751i	−0.104523	+	0.0603466i	0.446827	+	0.894620i	$0.352554\pi$
$564$	−331.742	+	606.975i	−0.588194	+	1.07620i
$565$	−133.182	+	59.2963i	−0.235720	+	0.104949i
$566$	−555.660	−	746.273i	−0.981731	−	1.31850i
$567$	326.685	−	733.747i	0.576165	−	1.29409i
$568$	0.309617	+	1.24071i	0.000545101	+	0.00218435i
$569$	48.0900	−	457.546i	0.0845167	−	0.804122i	−0.867368	−	0.497667i	$-0.834190\pi$
$569$	48.0900	−	457.546i	0.0845167	−	0.804122i	0.951885	−	0.306456i	$-0.0991431\pi$
$570$	−33.9640	−	36.8443i	−0.0595860	−	0.0646392i
$571$	79.8411	+	71.8892i	0.139827	+	0.125901i	0.736076	−	0.676899i	$-0.236676\pi$
$571$	79.8411	+	71.8892i	0.139827	+	0.125901i	−0.596250	+	0.802799i	$0.703343\pi$
$572$	−63.5379	+	8.18588i	−0.111080	+	0.0143110i
$573$	−223.786	−	688.741i	−0.390551	−	1.20199i
$574$	−568.030	+	191.943i	−0.989598	+	0.334395i
$575$	−126.741	+	13.3210i	−0.220419	+	0.0231670i
$576$	−9.15791	+	11.7316i	−0.0158991	+	0.0203674i
$577$	−601.879	−	668.454i	−1.04312	−	1.15850i	−0.987106	−	0.160069i	$-0.948828\pi$
$577$	−601.879	−	668.454i	−1.04312	−	1.15850i	−0.0560116	−	0.998430i	$-0.517838\pi$
$578$	29.3715	−	314.860i	0.0508158	−	0.544741i
$579$	−51.6960	−	243.211i	−0.0892850	−	0.420053i
$580$	−224.979	−	93.9207i	−0.387896	−	0.161932i
$581$	948.761	−	689.315i	1.63298	−	1.18643i
$582$	263.513	+	573.694i	0.452772	+	0.985728i
$583$	152.605	+	88.1066i	0.261758	+	0.151126i
$584$	−63.8639	−	102.157i	−0.109356	−	0.174926i
$585$	−4.45875	−	3.23947i	−0.00762180	−	0.00553756i
$586$	621.131	+	124.446i	1.05995	+	0.212364i
$587$	403.477	+	131.097i	0.687354	+	0.223335i	0.631812	−	0.775122i	$-0.282311\pi$
$587$	403.477	+	131.097i	0.687354	+	0.223335i	0.0555416	+	0.998456i	$0.482311\pi$
$588$	12.6756	+	541.384i	0.0215572	+	0.920722i
$589$	75.6310	−	47.0393i	0.128406	−	0.0798630i
$590$	−5.66448	−	483.935i	−0.00960082	−	0.820228i
$591$	478.964	+	155.625i	0.810430	+	0.263325i
$592$	312.549	+	51.2800i	0.527954	+	0.0866216i
$593$	127.978	+	92.9812i	0.215814	+	0.156798i	0.690440	−	0.723389i	$-0.257417\pi$
$593$	127.978	+	92.9812i	0.215814	+	0.156798i	−0.474626	+	0.880187i	$0.657417\pi$
$594$	52.7115	+	88.8801i	0.0887400	+	0.149630i
$595$	−275.043	−	158.796i	−0.462258	−	0.266885i
$596$	480.373	−	227.495i	0.805995	−	0.381702i
$597$	−308.624	+	224.229i	−0.516959	+	0.375593i
$598$	−49.7234	+	115.294i	−0.0831495	+	0.192799i
$599$	−154.306	−	725.952i	−0.257606	−	1.21194i	−0.896639	−	0.442762i	$-0.853999\pi$
$599$	−154.306	−	725.952i	−0.257606	−	1.21194i	0.639033	−	0.769179i	$-0.279335\pi$
$600$	−406.487	−	28.3398i	−0.677478	−	0.0472330i
$601$	−624.804	−	693.915i	−1.03961	−	1.15460i	−0.987766	−	0.155945i	$-0.950158\pi$
$601$	−624.804	−	693.915i	−1.03961	−	1.15460i	−0.0518415	−	0.998655i	$-0.516509\pi$
$602$	710.514	−	807.926i	1.18026	−	1.34207i
$603$	−22.8163	+	2.39809i	−0.0378379	+	0.00397693i
$604$	997.076	−	349.977i	1.65079	−	0.579432i
$605$	−103.978	−	320.010i	−0.171864	−	0.528943i
$606$	−367.133	+	42.9374i	−0.605830	+	0.0708537i
$607$	383.521	+	345.324i	0.631830	+	0.568902i	0.921574	−	0.388202i	$-0.126904\pi$
$607$	383.521	+	345.324i	0.631830	+	0.568902i	−0.289745	+	0.957104i	$0.593570\pi$
$608$	−64.6088	+	65.4101i	−0.106265	+	0.107582i
$609$	−65.2395	+	620.712i	−0.107126	+	1.01923i
$610$	104.096	−	23.4029i	0.170649	−	0.0383655i
$611$	−191.154	+	429.339i	−0.312855	+	0.702683i
$612$	−8.46057	+	6.45485i	−0.0138245	+	0.0105471i
$613$	913.496	−	406.714i	1.49020	−	0.663482i	0.509767	−	0.860312i	$-0.329731\pi$
$613$	913.496	−	406.714i	1.49020	−	0.663482i	0.980438	+	0.196830i	$0.0630648\pi$
$614$	−589.735	−	331.341i	−0.960480	−	0.539644i
$615$	234.079	−	135.146i	0.380617	−	0.219749i
$616$	−124.436	−	83.8954i	−0.202006	−	0.136194i
$617$	586.017	+	124.562i	0.949784	+	0.201883i	0.656656	−	0.754190i	$-0.271970\pi$
$617$	586.017	+	124.562i	0.949784	+	0.201883i	0.293128	+	0.956073i	$0.405304\pi$
$618$	−168.870	+	541.202i	−0.273253	+	0.875732i
$619$		−	1082.97i		−	1.74955i	−0.484528	−	0.874776i	$-0.661009\pi$
$619$		−	1082.97i		−	1.74955i	0.484528	−	0.874776i	$-0.338991\pi$
$620$	−90.7825	+	344.111i	−0.146423	+	0.555018i
$621$	202.530			0.326135
$622$	346.366	+	108.076i	0.556859	+	0.173756i
$623$	320.970	−	1510.04i	0.515200	−	2.42383i
$624$	−220.514	+	335.477i	−0.353388	+	0.537624i
$625$	−37.5330	−	65.0091i	−0.0600528	−	0.104015i
$626$	−253.386	+	450.987i	−0.404771	+	0.720427i
$627$	−6.88666	−	15.4677i	−0.0109835	−	0.0246693i
$628$	−298.688	+	227.879i	−0.475618	+	0.362865i
$629$	206.892	+	92.1142i	0.328922	+	0.146446i
$630$	−2.83196	−	12.5965i	−0.00449518	−	0.0199945i
$631$	−526.535	−	55.3410i	−0.834445	−	0.0877037i	−0.322337	−	0.946625i	$-0.604469\pi$
$631$	−526.535	−	55.3410i	−0.834445	−	0.0877037i	−0.512108	+	0.858921i	$0.671135\pi$
$632$	−866.197	+	836.823i	−1.37057	+	1.32409i
$633$	−84.2669	+	93.5879i	−0.133123	+	0.147848i
$634$	−129.245	−	1105.10i	−0.203856	−	1.74306i
$635$	244.860	−	79.5598i	0.385606	−	0.125291i
$636$	1041.95	−	365.727i	1.63828	−	0.575042i
$637$	38.4593	+	365.916i	0.0603757	+	0.574437i
$638$	−61.8574	−	54.3992i	−0.0969551	−	0.0852653i
$639$	−0.0276234	+	0.0248723i	−4.32292e−5	+	3.89237e-5i
$640$	8.37082	−	367.270i	0.0130794	−	0.573859i
$641$	−94.8056	+	20.1515i	−0.147903	+	0.0314377i	−0.281268	−	0.959629i	$-0.590755\pi$
$641$	−94.8056	+	20.1515i	−0.147903	+	0.0314377i	0.133365	+	0.991067i	$0.457422\pi$
$642$	−930.998	−	401.517i	−1.45015	−	0.625416i
$643$	740.257	+	1018.88i	1.15125	+	1.58457i	0.739323	+	0.673351i	$0.235146\pi$
$643$	740.257	+	1018.88i	1.15125	+	1.58457i	0.411932	+	0.911215i	$0.364854\pi$
$644$	−265.833	+	125.893i	−0.412785	+	0.195486i
$645$	−242.509	+	420.038i	−0.375983	+	0.651221i
$646$	−56.5436	+	33.5339i	−0.0875288	+	0.0519101i
$647$	411.469	−	566.339i	0.635965	−	0.875331i	−0.362427	−	0.932012i	$-0.618052\pi$
$647$	411.469	−	566.339i	0.635965	−	0.875331i	0.998392	+	0.0566814i	$0.0180519\pi$
$648$	654.242	+	115.221i	1.00963	+	0.177810i
$649$	50.5319	−	155.521i	0.0778612	−	0.239632i
$650$	−276.829	+	3.24030i	−0.425891	+	0.00498508i
$651$	910.592	−	29.8871i	1.39876	−	0.0459096i
$652$	22.5829	+	964.532i	0.0346363	+	1.47934i
$653$	−105.553	+	324.860i	−0.161644	+	0.497489i	−0.998773	−	0.0495161i	$-0.984232\pi$
$653$	−105.553	+	324.860i	−0.161644	+	0.497489i	0.837129	+	0.547005i	$0.184232\pi$
$654$	−164.662	+	821.861i	−0.251777	+	1.25667i
$655$	−47.0790	+	64.7987i	−0.0718764	+	0.0989294i
$656$	−267.784	−	417.396i	−0.408207	−	0.636275i
$657$	1.75100	−	3.03282i	0.00266515	−	0.00461617i
$658$	−1000.47	+	459.543i	−1.52047	+	0.698394i
$659$	309.361	+	425.799i	0.469440	+	0.646129i	0.976433	−	0.215821i	$-0.0692429\pi$
$659$	309.361	+	425.799i	0.469440	+	0.646129i	−0.506993	+	0.861950i	$0.669243\pi$
$660$	62.4321	+	26.0631i	0.0945940	+	0.0394896i
$661$	−748.680	+	159.137i	−1.13265	+	0.240752i	−0.735843	−	0.677152i	$-0.763214\pi$
$661$	−748.680	+	159.137i	−1.13265	+	0.240752i	−0.396804	+	0.917903i	$0.629881\pi$
$662$	267.722	+	24.9743i	0.404414	+	0.0377255i
$663$	−213.326	+	192.080i	−0.321759	+	0.289713i
$664$	743.161	+	623.324i	1.11922	+	0.938742i
$665$	−8.33696	−	79.3209i	−0.0125368	−	0.119279i
$666$	2.94729	+	8.72213i	0.00442536	+	0.0130963i
$667$	−153.547	+	49.8904i	−0.230205	+	0.0747982i
$668$	430.287	−	55.4358i	0.644142	−	0.0829878i
$669$	−538.920	+	598.531i	−0.805560	+	0.894665i
$670$	416.376	−	383.826i	0.621457	−	0.572874i
$671$	35.8527	+	3.76827i	0.0534317	+	0.00561590i
$672$	−906.909	+	249.006i	−1.34957	+	0.370544i
$673$	767.612	+	341.763i	1.14058	+	0.507820i	0.888040	−	0.459766i	$-0.152067\pi$
$673$	767.612	+	341.763i	1.14058	+	0.507820i	0.252542	+	0.967586i	$0.418733\pi$
$674$	−174.672	+	130.057i	−0.259157	+	0.192963i
$675$	181.634	+	407.956i	0.269087	+	0.604379i
$676$	193.389	−	353.837i	0.286078	−	0.523427i
$677$	661.960	+	1146.55i	0.977785	+	1.69357i	0.670421	+	0.741981i	$0.266113\pi$
$677$	661.960	+	1146.55i	0.977785	+	1.69357i	0.307363	+	0.951592i	$0.400553\pi$
$678$	−178.506	+	251.839i	−0.263283	+	0.371444i
$679$	−208.916	+	982.874i	−0.307682	+	1.44753i
$680$	72.3518	−	252.518i	0.106400	−	0.371350i
$681$	68.9816			0.101295
$682$	−66.2807	+	100.331i	−0.0971857	+	0.147113i
$683$		−	534.518i		−	0.782604i	−0.920262	−	0.391302i	$-0.872025\pi$
$683$		−	534.518i		−	0.782604i	0.920262	−	0.391302i	$-0.127975\pi$
$684$	−2.56031	−	0.766123i	−0.00374315	−	0.00112006i
$685$	428.221	+	91.0212i	0.625141	+	0.132878i
$686$	49.7161	−	70.1402i	0.0724724	−	0.102245i
$687$	898.924	−	518.994i	1.30848	−	0.755449i
$688$	790.634	+	408.383i	1.14918	+	0.593579i
$689$	685.405	−	305.162i	0.994783	−	0.442906i
$690$	106.353	−	79.1886i	0.154135	−	0.114766i
$691$	−454.081	+	1019.88i	−0.657136	+	1.47595i	0.209909	+	0.977721i	$0.432683\pi$
$691$	−454.081	+	1019.88i	−0.657136	+	1.47595i	−0.867045	+	0.498230i	$0.833983\pi$
$692$	966.639	−	229.239i	1.39688	−	0.331270i
$693$	0.455994	−	4.33849i	0.000658000	−	0.00626045i
$694$	−249.380	+	229.885i	−0.359337	+	0.331246i
$695$	113.582	+	102.269i	0.163427	+	0.147150i
$696$	−511.177	+	71.9491i	−0.734449	+	0.103375i
$697$	−109.576	−	337.239i	−0.157210	−	0.483843i
$698$	283.080	+	837.738i	0.405558	+	1.20020i
$699$	1097.73	−	115.376i	1.57043	−	0.165059i
$700$	−491.993	−	422.565i	−0.702847	−	0.603664i
$701$	−337.218	−	374.518i	−0.481052	−	0.534262i	0.452947	−	0.891537i	$-0.350373\pi$
$701$	−337.218	−	374.518i	−0.481052	−	0.534262i	−0.933999	+	0.357275i	$0.883706\pi$
$702$	438.073	+	40.8653i	0.624035	+	0.0582127i
$703$	11.8248	+	55.6315i	0.0168205	+	0.0791344i
$704$	42.4055	−	116.658i	0.0602350	−	0.165708i
$705$	401.526	−	291.725i	0.569540	−	0.413795i
$706$	−558.983	+	256.756i	−0.791760	+	0.363677i
$707$	−509.505	−	294.163i	−0.720658	−	0.416072i
$708$	−533.009	−	875.226i	−0.752838	−	1.23620i
$709$	320.636	+	232.956i	0.452237	+	0.328570i	0.790478	−	0.612490i	$-0.209832\pi$
$709$	320.636	+	232.956i	0.452237	+	0.328570i	−0.338241	+	0.941059i	$0.609832\pi$
$710$	0.180247	−	0.899645i	0.000253868	−	0.00126711i
$711$	−33.2959	−	10.8185i	−0.0468296	−	0.0152159i
$712$	1276.06	−	44.8255i	1.79222	−	0.0629572i
$713$	102.869	+	212.041i	0.144277	+	0.297392i
$714$	−672.425	+	7.87077i	−0.941771	+	0.0110235i
$715$	43.7161	+	14.2042i	0.0611414	+	0.0198661i
$716$	70.7514	−	375.924i	0.0988148	−	0.525033i
$717$	509.937	+	370.491i	0.711209	+	0.516724i
$718$	−877.702	+	520.533i	−1.22243	+	0.724976i
$719$	−338.454	−	195.406i	−0.470729	−	0.271775i	0.245816	−	0.969316i	$-0.420944\pi$
$719$	−338.454	−	195.406i	−0.470729	−	0.271775i	−0.716545	+	0.697541i	$0.754277\pi$
$720$	9.54138	−	4.79516i	0.0132519	−	0.00665994i
$721$	−730.023	+	530.393i	−1.01252	+	0.735635i
$722$	647.812	+	279.386i	0.897247	+	0.386961i
$723$	174.429	+	820.624i	0.241257	+	1.13503i
$724$	−26.1836	+	321.309i	−0.0361652	+	0.443797i
$725$	−238.199	−	264.547i	−0.328550	−	0.364892i
$726$	−535.005	−	470.499i	−0.736921	−	0.648071i
$727$	−702.885	+	73.8762i	−0.966829	+	0.101618i	−0.574764	−	0.818319i	$-0.694906\pi$
$727$	−702.885	+	73.8762i	−0.966829	+	0.101618i	−0.392065	+	0.919937i	$0.628239\pi$
$728$	−600.401	+	218.669i	−0.824727	+	0.300369i
$729$	−219.156	−	674.492i	−0.300625	−	0.925229i
$730$	10.0413	+	85.8577i	0.0137553	+	0.117613i
$731$	472.857	+	425.763i	0.646863	+	0.582438i
$732$	164.303	−	155.054i	0.224457	−	0.211823i
$733$	8.03703	−	76.4672i	0.0109646	−	0.104321i	−0.987671	−	0.156545i	$-0.949964\pi$
$733$	8.03703	−	76.4672i	0.0109646	−	0.104321i	0.998635	+	0.0522241i	$0.0166310\pi$
$734$	32.4042	+	144.133i	0.0441474	+	0.196367i
$735$	158.040	−	354.963i	0.215020	−	0.482942i
$736$	−154.263	−	188.116i	−0.209596	−	0.255592i
$737$	174.800	−	77.8258i	0.237177	−	0.105598i
$738$	7.06096	−	12.5674i	0.00956769	−	0.0170290i
$739$	−317.164	+	183.115i	−0.429180	+	0.247787i	−0.698997	−	0.715124i	$-0.746370\pi$
$739$	−317.164	+	183.115i	−0.429180	+	0.247787i	0.269817	+	0.962912i	$0.413037\pi$
$740$	−186.930	−	129.237i	−0.252607	−	0.174645i
$741$	−70.5145	−	14.9883i	−0.0951612	−	0.0202271i
$742$	1677.82	+	523.526i	2.26121	+	0.705560i
$743$		−	1011.32i		−	1.36114i	−0.732684	−	0.680569i	$-0.761733\pi$
$743$		−	1011.32i		−	1.36114i	0.732684	−	0.680569i	$-0.238267\pi$
$744$	206.337	+	724.750i	0.277335	+	0.974127i
$745$	−381.370			−0.511906
$746$	171.480	−	549.566i	0.229866	−	0.736684i
$747$	−5.86202	+	27.5786i	−0.00784742	+	0.0369192i
$748$	50.4737	−	73.0056i	0.0674783	−	0.0976010i
$749$	−806.874	−	1397.55i	−1.07727	−	1.86588i
$750$	635.031	+	356.791i	0.846708	+	0.475721i
$751$	352.029	+	790.670i	0.468747	+	1.05282i	0.981003	+	0.193990i	$0.0621431\pi$
$751$	352.029	+	790.670i	0.468747	+	1.05282i	−0.512256	+	0.858833i	$0.671190\pi$
$752$	−569.128	−	710.833i	−0.756819	−	0.945257i
$753$	−378.846	−	168.673i	−0.503115	−	0.224001i
$754$	−342.189	+	76.9313i	−0.453832	+	0.102031i
$755$	−754.049	−	79.2537i	−0.998740	−	0.104972i
$756$	707.408	+	749.602i	0.935725	+	0.991537i
$757$	−420.268	+	466.754i	−0.555175	+	0.616584i	−0.953768	−	0.300544i	$-0.902832\pi$
$757$	−420.268	+	466.754i	−0.555175	+	0.616584i	0.398593	+	0.917128i	$0.369499\pi$
$758$	−1232.77	+	144.176i	−1.62635	+	0.190206i
$759$	42.6094	−	13.8446i	0.0561389	−	0.0182406i
$760$	61.9842	−	22.5749i	0.0815581	−	0.0297038i
$761$	−91.6437	−	871.931i	−0.120425	−	1.14577i	−0.873156	−	0.487441i	$-0.837930\pi$
$761$	−91.6437	−	871.931i	−0.120425	−	1.14577i	0.752730	−	0.658329i	$-0.228736\pi$
$762$	360.008	−	409.365i	0.472452	−	0.537225i
$763$	−991.431	+	892.689i	−1.29939	+	1.16997i
$764$	950.193	+	77.4316i	1.24371	+	0.101350i
$765$	7.46868	−	1.58752i	0.00976299	−	0.00207519i
$766$	541.816	−	1256.31i	0.707331	−	1.64009i
$767$	−409.243	−	563.274i	−0.533563	−	0.734386i
$768$	−381.439	−	677.915i	−0.496666	−	0.882701i
$769$	210.863	−	365.225i	0.274204	−	0.474935i	−0.695730	−	0.718303i	$-0.744919\pi$
$769$	210.863	−	365.225i	0.274204	−	0.474935i	0.969934	+	0.243368i	$0.0782524\pi$
$770$	54.9281	+	92.6176i	0.0713352	+	0.120283i
$771$	79.6696	−	109.656i	0.103333	−	0.142225i
$772$	321.676	+	60.5416i	0.416679	+	0.0784217i
$773$	−59.0082	+	181.609i	−0.0763366	+	0.234940i	−0.981942	−	0.189181i	$-0.939417\pi$
$773$	−59.0082	+	181.609i	−0.0763366	+	0.234940i	0.905606	+	0.424121i	$0.139417\pi$
$774$	0.302752	+	25.8651i	0.000391153	+	0.0334174i
$775$	−334.858	+	397.373i	−0.432075	+	0.512740i
$776$	−830.578	+	29.1765i	−1.07033	+	0.0375986i
$777$	−179.781	+	553.310i	−0.231379	+	0.712110i
$778$	174.030	+	34.8674i	0.223689	+	0.0448167i
$779$	52.3423	−	72.0430i	0.0671916	−	0.0924813i
$780$	246.021	−	149.826i	0.315412	−	0.192084i
$781$	0.155008	−	0.268482i	0.000198474	−	0.000343767i
$782$	−72.6081	−	158.075i	−0.0928493	−	0.202142i
$783$	332.532	+	457.691i	0.424689	+	0.584535i
$784$	−664.116	−	259.162i	−0.847087	−	0.330564i
$785$	263.671	−	56.0450i	0.335887	−	0.0713949i
$786$	−15.7521	+	168.861i	−0.0200409	+	0.214836i
$787$	449.433	−	404.671i	0.571071	−	0.514195i	−0.332232	−	0.943198i	$-0.607802\pi$
$787$	449.433	−	404.671i	0.571071	−	0.514195i	0.903303	+	0.429003i	$0.141135\pi$
$788$	−431.962	+	502.934i	−0.548175	+	0.638241i
$789$	−14.8576	−	141.361i	−0.0188310	−	0.179165i
$790$	818.689	−	276.643i	1.03632	−	0.350181i
$791$	−467.271	+	151.825i	−0.590734	+	0.191941i
$792$	3.57289	−	0.502890i	0.00451122	−	0.000634963i
$793$	102.706	−	114.067i	0.129516	−	0.143842i
$794$	747.322	+	810.699i	0.941211	+	1.02103i
$795$	−787.983	−	82.8203i	−0.991174	−	0.104177i
$796$	−115.881	−	488.642i	−0.145580	−	0.613872i
$797$	−1091.91	−	486.150i	−1.37003	−	0.609975i	−0.415908	−	0.909407i	$-0.636536\pi$
$797$	−1091.91	−	486.150i	−1.37003	−	0.609975i	−0.954118	+	0.299432i	$0.903203\pi$
$798$	−100.857	−	135.455i	−0.126387	−	0.169743i
$799$	−264.830	−	594.819i	−0.331452	−	0.744454i
$800$	240.576	−	479.438i	0.300720	−	0.599298i
$801$	18.5577	+	32.1429i	0.0231682	+	0.0401285i
$802$	879.089	+	623.107i	1.09612	+	0.776941i
$803$	−6.07261	+	28.5694i	−0.00756240	+	0.0355783i
$804$	343.740	−	1148.75i	0.427538	−	1.42879i
$805$	211.046			0.262169
$806$	179.722	+	479.401i	0.222981	+	0.594791i
$807$			374.124i			0.463598i
$808$	134.028	−	467.778i	0.165877	−	0.578934i
$809$	551.642	+	117.255i	0.681882	+	0.144938i	0.535814	−	0.844336i	$-0.320005\pi$
$809$	551.642	+	117.255i	0.681882	+	0.144938i	0.146068	+	0.989275i	$0.453338\pi$
$810$	−388.870	−	275.635i	−0.480086	−	0.340290i
$811$	467.240	−	269.761i	0.576128	−	0.332628i	−0.183465	−	0.983026i	$-0.558731\pi$
$811$	467.240	−	269.761i	0.576128	−	0.332628i	0.759593	+	0.650398i	$0.225398\pi$
$812$	−720.972	−	394.046i	−0.887896	−	0.485279i
$813$	283.964	−	126.429i	0.349279	−	0.155509i
$814$	−45.8575	−	61.5884i	−0.0563360	−	0.0756615i
$815$	281.564	−	632.402i	0.345477	−	0.775954i
$816$	−140.975	−	538.034i	−0.172763	−	0.659355i
$817$	−16.7030	+	158.918i	−0.0204443	+	0.194514i
$818$	−128.239	−	139.114i	−0.156771	−	0.170067i
$819$	−13.8031	−	12.4284i	−0.0168536	−	0.0151751i
$820$	45.4663	+	352.904i	0.0554467	+	0.430371i
$821$	183.282	+	564.084i	0.223242	+	0.687069i	0.998465	+	0.0553814i	$0.0176375\pi$
$821$	183.282	+	564.084i	0.223242	+	0.687069i	−0.775223	+	0.631688i	$0.782363\pi$
$822$	878.190	−	296.749i	1.06836	−	0.361009i
$823$	−1240.12	+	130.341i	−1.50682	+	0.158374i	−0.821644	−	0.570001i	$-0.806943\pi$
$823$	−1240.12	+	130.341i	−1.50682	+	0.158374i	−0.685179	+	0.728374i	$0.740276\pi$
$824$	−571.825	−	479.617i	−0.693962	−	0.582059i
$825$	66.1005	+	73.4120i	0.0801218	+	0.0889843i
$826$	151.493	−	1623.99i	0.183405	−	1.96609i
$827$	−163.092	−	767.288i	−0.197209	−	0.927797i	−0.959750	−	0.280857i	$-0.909381\pi$
$827$	−163.092	−	767.288i	−0.197209	−	0.927797i	0.762540	−	0.646941i	$-0.223952\pi$
$828$	2.72428	−	6.52580i	0.00329020	−	0.00788140i
$829$	−419.762	+	304.975i	−0.506348	+	0.367883i	−0.811436	−	0.584441i	$-0.801314\pi$
$829$	−419.762	+	304.975i	−0.506348	+	0.367883i	0.305089	+	0.952324i	$0.401314\pi$
$830$	−290.493	−	632.430i	−0.349991	−	0.761964i
$831$	310.967	+	179.537i	0.374208	+	0.216049i
$832$	−295.714	−	438.022i	−0.355425	−	0.526469i
$833$	−412.391	−	299.619i	−0.495067	−	0.359687i
$834$	317.316	+	63.5751i	0.380474	+	0.0762292i
$835$	−296.051	−	96.1929i	−0.354552	−	0.115201i
$836$	22.2831	−	0.521721i	0.0266544	−	0.000624068i
$837$	595.261	−	572.430i	0.711184	−	0.683907i
$838$	4.94370	+	422.356i	0.00589941	+	0.504005i
$839$	682.759	+	221.842i	0.813777	+	0.264412i	0.686197	−	0.727416i	$-0.259279\pi$
$839$	682.759	+	221.842i	0.813777	+	0.264412i	0.127580	+	0.991828i	$0.459279\pi$
$840$	664.570	+	117.040i	0.791155	+	0.139333i
$841$	315.530	+	229.246i	0.375185	+	0.272588i
$842$	62.6721	+	105.675i	0.0744324	+	0.125505i
$843$	−955.674	−	551.759i	−1.13366	−	0.654518i
$844$	−70.9574	−	149.832i	−0.0840728	−	0.177527i
$845$	−234.070	+	170.062i	−0.277005	+	0.201256i
$846$	10.4823	−	24.3052i	0.0123904	−	0.0287296i
$847$	−235.768	−	1109.20i	−0.278356	−	1.30956i
$848$	−84.1245	+	1451.26i	−0.0992034	+	1.71139i
$849$	945.847	+	1050.47i	1.11407	+	1.23730i
$850$	253.294	−	288.020i	0.297993	−	0.338847i
$851$	−149.670	+	15.7309i	−0.175875	+	0.0184852i
$852$	−0.643432	−	1.83312i	−0.000755201	−	0.00215155i
$853$	−75.7768	−	233.217i	−0.0888357	−	0.273408i	0.896763	−	0.442512i	$-0.145913\pi$
$853$	−75.7768	−	233.217i	−0.0888357	−	0.273408i	−0.985598	+	0.169104i	$0.945913\pi$
$854$	357.140	−	41.7686i	0.418196	−	0.0489094i
$855$	1.42500	+	1.28308i	0.00166667	+	0.00150068i
$856$	959.926	−	927.374i	1.12141	−	1.08338i
$857$	−48.7219	+	463.558i	−0.0568517	+	0.540908i	0.928616	+	0.371043i	$0.121000\pi$
$857$	−48.7219	+	463.558i	−0.0568517	+	0.540908i	−0.985467	+	0.169865i	$0.945667\pi$
$858$	94.9579	−	21.3485i	0.110674	−	0.0248817i
$859$	−687.025	+	1543.08i	−0.799796	+	1.79637i	−0.233081	+	0.972457i	$0.574881\pi$
$859$	−687.025	+	1543.08i	−0.799796	+	1.79637i	−0.566715	+	0.823914i	$0.691786\pi$
$860$	−387.285	−	507.626i	−0.450332	−	0.590263i
$861$	832.166	−	370.504i	0.966511	−	0.430318i
$862$	152.864	+	85.8863i	0.177336	+	0.0996361i
$863$	−912.198	+	526.658i	−1.05701	+	0.610264i	−0.924603	−	0.380932i	$-0.875603\pi$
$863$	−912.198	+	526.658i	−1.05701	+	0.610264i	−0.132405	+	0.991196i	$0.542270\pi$
$864$	−459.879	+	717.798i	−0.532268	+	0.830784i
$865$	−697.233	−	148.201i	−0.806050	−	0.171331i
$866$	−180.143	+	577.330i	−0.208017	+	0.666662i
$867$			480.430i			0.554129i
$868$	−425.495	+	1121.37i	−0.490202	+	1.29190i
$869$	291.987			0.336004
$870$	353.577	+	110.326i	0.406410	+	0.126811i
$871$	169.382	−	796.881i	0.194469	−	0.914904i
$872$	−914.910	−	616.839i	−1.04921	−	0.707385i
$873$	−12.0791	−	20.9215i	−0.0138363	−	0.0239651i
$874$	21.3983	−	38.0855i	0.0244832	−	0.0435761i
$875$	471.549	+	1059.12i	0.538913	+	1.21042i
$876$	111.021	+	145.519i	0.126737	+	0.166118i
$877$	−1230.32	−	547.773i	−1.40287	−	0.624598i	−0.440852	−	0.897580i	$-0.645324\pi$
$877$	−1230.32	−	547.773i	−1.40287	−	0.624598i	−0.962019	+	0.272982i	$0.911990\pi$
$878$	168.083	+	747.631i	0.191439	+	0.851516i
$879$	−957.138	−	100.599i	−1.08889	−	0.114447i
$880$	−63.3243	+	62.6263i	−0.0719595	+	0.0711663i
$881$	−927.551	+	1030.15i	−1.05284	+	1.16930i	−0.0676697	+	0.997708i	$0.521556\pi$
$881$	−927.551	+	1030.15i	−1.05284	+	1.16930i	−0.985169	+	0.171588i	$0.945110\pi$
$882$	−2.40714	−	20.5820i	−0.00272918	−	0.0233357i
$883$	−262.196	+	85.1925i	−0.296937	+	0.0964807i	−0.453697	−	0.891156i	$-0.649895\pi$
$883$	−262.196	+	85.1925i	−0.296937	+	0.0964807i	0.156760	+	0.987637i	$0.449895\pi$
$884$	−125.156	−	356.567i	−0.141579	−	0.403357i
$885$	76.8567	+	731.243i	0.0868437	+	0.826263i
$886$	283.819	+	249.599i	0.320337	+	0.281714i
$887$	−589.816	+	531.073i	−0.664956	+	0.598729i	−0.930906	−	0.365258i	$-0.880981\pi$
$887$	−589.816	+	531.073i	−0.664956	+	0.598729i	0.265951	+	0.963987i	$0.414314\pi$
$888$	−480.025	−	33.4668i	−0.540569	−	0.0376878i
$889$	848.718	−	180.401i	0.954688	−	0.202925i
$890$	−841.250	−	362.811i	−0.945225	−	0.407653i
$891$	−94.6639	−	130.294i	−0.106245	−	0.146233i
$892$	−453.800	−	958.236i	−0.508745	−	1.07426i
$893$	81.7574	−	141.608i	0.0915537	−	0.158576i
$894$	−694.553	+	411.914i	−0.776905	+	0.460754i
$895$	−161.326	+	222.047i	−0.180253	+	0.248097i
$896$	157.436	−	1228.02i	0.175710	−	1.37056i
$897$	58.9468	−	181.420i	0.0657155	−	0.202252i
$898$	−37.7939	+	0.442380i	−0.0420868	+	0.000492628i
$899$	−310.284	+	580.619i	−0.345143	+	0.645850i
$900$	15.5881	−	0.364970i	0.0173202	−	0.000405522i
$901$	−321.206	+	988.571i	−0.356500	+	1.09719i
$902$	−23.6183	+	117.883i	−0.0261843	+	0.130691i
$903$	−960.780	+	1322.40i	−1.06399	+	1.46445i
$904$	−215.412	−	344.573i	−0.238288	−	0.381165i
$905$	115.653	−	200.317i	0.127794	−	0.221345i
$906$	−1458.88	+	670.103i	−1.61024	+	0.739628i
$907$	486.039	+	668.976i	0.535876	+	0.737570i	0.988012	−	0.154379i	$-0.0493378\pi$
$907$	486.039	+	668.976i	0.535876	+	0.737570i	−0.452136	+	0.891949i	$0.649338\pi$
$908$	−34.9837	+	83.8007i	−0.0385283	+	0.0922915i
$909$	13.8354	−	2.94080i	0.0152205	−	0.00323521i
$910$	456.494	+	42.5838i	0.501641	+	0.0467953i
$911$	1007.69	−	907.329i	1.10614	−	0.995971i	0.106139	−	0.994351i	$-0.466151\pi$
$911$	1007.69	−	907.329i	1.10614	−	0.995971i	0.999999	−	0.00161920i	$-0.000515407\pi$
$912$	88.5030	−	108.062i	0.0970427	−	0.118489i
$913$	−24.5800	−	233.864i	−0.0269223	−	0.256148i
$914$	134.275	+	397.368i	0.146909	+	0.434757i
$915$	−154.162	+	50.0903i	−0.168483	+	0.0547435i
$916$	174.602	+	1355.24i	0.190614	+	1.47952i
$917$	−180.621	+	200.600i	−0.196969	+	0.218756i
$918$	−448.182	+	413.145i	−0.488215	+	0.450049i
$919$	1100.90	+	115.709i	1.19793	+	0.125908i	0.682410	−	0.730970i	$-0.260932\pi$
$919$	1100.90	+	115.709i	1.19793	+	0.125908i	0.515520	+	0.856877i	$0.327599\pi$
$920$	42.2637	+	169.361i	0.0459388	+	0.184088i
$921$	938.840	+	417.999i	1.01937	+	0.453853i
$922$	−316.336	+	235.537i	−0.343097	+	0.255463i
$923$	−0.536879	−	1.20585i	−0.000581667	−	0.00130645i
$924$	200.071	+	109.348i	0.216527	+	0.118342i
$925$	−165.915	−	287.373i	−0.179367	−	0.310673i
$926$	−684.834	+	966.175i	−0.739562	+	1.04339i
$927$	4.51053	−	21.2204i	0.00486573	−	0.0228914i
$928$	171.835	−	657.479i	0.185167	−	0.708491i
$929$	−622.737			−0.670330			−0.335165	−	0.942159i	$-0.608792\pi$
$929$	−622.737			−0.670330			−0.335165	+	0.942159i	$0.608792\pi$
$930$	88.7680	−	533.343i	0.0954494	−	0.573487i
$931$		−	128.013i		−	0.137501i
$932$	−416.547	+	1392.06i	−0.446939	+	1.49363i
$933$	−539.195	−	114.609i	−0.577915	−	0.122840i
$934$	−583.477	+	823.179i	−0.624708	+	0.881348i
$935$	−55.1506	+	31.8412i	−0.0589846	+	0.0340548i
$936$	7.20938	−	13.5656i	0.00770233	−	0.0144932i
$937$	1324.95	−	589.906i	1.41403	−	0.629569i	0.449441	−	0.893310i	$-0.351623\pi$
$937$	1324.95	−	589.906i	1.41403	−	0.629569i	0.964593	+	0.263741i	$0.0849565\pi$
$938$	1530.77	−	1139.78i	1.63195	−	1.21512i
$939$	319.656	−	717.958i	0.340421	−	0.764599i
$940$	150.764	+	635.731i	0.160387	+	0.676310i
$941$	166.541	−	1584.53i	0.176983	−	1.68388i	−0.440860	−	0.897576i	$-0.645326\pi$
$941$	166.541	−	1584.53i	0.176983	−	1.68388i	0.617842	−	0.786302i	$-0.288007\pi$
$942$	419.665	−	386.858i	0.445505	−	0.410677i
$943$	175.110	+	157.670i	0.185695	+	0.167200i
$944$	1333.56	−	203.646i	1.41267	−	0.215727i
$945$	−228.528	−	703.337i	−0.241829	−	0.744272i
$946$	−69.0631	−	204.383i	−0.0730054	−	0.216050i
$947$	−517.832	+	54.4264i	−0.546814	+	0.0574724i	−0.373908	−	0.927466i	$-0.621982\pi$
$947$	−517.832	+	54.4264i	−0.546814	+	0.0574724i	−0.172906	+	0.984938i	$0.555316\pi$
$948$	1192.20	−	1388.08i	1.25760	−	1.46422i
$949$	83.2120	+	92.4163i	0.0876839	+	0.0973828i
$950$	95.9063	+	8.94656i	0.100954	+	0.00941743i
$951$	351.448	+	1653.43i	0.369556	+	1.73862i
$952$	331.456	−	820.871i	0.348168	−	0.862259i
$953$	277.896	−	201.903i	0.291601	−	0.211860i	−0.432361	−	0.901701i	$-0.642319\pi$
$953$	277.896	−	201.903i	0.291601	−	0.211860i	0.723962	+	0.689840i	$0.242319\pi$
$954$	−38.3990	+	17.6377i	−0.0402505	+	0.0184882i
$955$	−592.390	−	342.016i	−0.620303	−	0.358132i
$956$	−708.695	+	431.592i	−0.741313	+	0.451456i
$957$	101.247	+	73.5604i	0.105796	+	0.0768656i
$958$	260.854	−	1301.97i	0.272290	−	1.35905i
$959$	1403.19	+	455.925i	1.46318	+	0.475418i
$960$	39.1630	+	556.745i	0.0407948	+	0.579943i
$961$	901.658	+	332.465i	0.938250	+	0.345958i
$962$	−326.911	+	3.82651i	−0.339824	+	0.00397766i
$963$	36.8987	+	11.9891i	0.0383164	+	0.0124498i
$964$	−1085.38	−	204.275i	−1.12591	−	0.211903i
$965$	−190.004	−	138.046i	−0.196895	−	0.143053i
$966$	384.358	−	227.949i	0.397886	−	0.235972i
$967$	495.886	+	286.300i	0.512808	+	0.296070i	0.733987	−	0.679163i	$-0.237657\pi$
$967$	495.886	+	286.300i	0.512808	+	0.296070i	−0.221179	+	0.975233i	$0.570990\pi$
$968$	842.901	−	411.326i	0.870765	−	0.424924i
$969$	80.8008	−	58.7052i	0.0833858	−	0.0605833i
$970$	547.563	+	236.151i	0.564497	+	0.243454i
$971$	−20.7813	−	97.7683i	−0.0214020	−	0.100688i	0.966150	−	0.257980i	$-0.0830570\pi$
$971$	−20.7813	−	97.7683i	−0.0214020	−	0.100688i	−0.987552	+	0.157292i	$0.949724\pi$
$972$	−50.0511	−	4.07868i	−0.0514929	−	0.00419617i
$973$	344.662	+	382.786i	0.354226	+	0.393408i
$974$	810.312	+	712.613i	0.831943	+	0.731636i
$975$	418.299	−	43.9650i	0.429025	−	0.0450923i
$976$	105.039	+	278.234i	0.107622	+	0.285076i
$977$	374.979	+	1154.07i	0.383807	+	1.18124i	0.937342	+	0.348410i	$0.113278\pi$
$977$	374.979	+	1154.07i	0.383807	+	1.18124i	−0.553535	+	0.832826i	$0.686722\pi$
$978$	−170.266	−	1455.85i	−0.174096	−	1.48860i
$979$	−230.042	−	207.131i	−0.234977	−	0.211574i
$980$	351.069	+	372.008i	0.358234	+	0.379600i
$981$	3.35269	−	31.8987i	0.00341762	−	0.0325165i
$982$	−138.899	−	617.822i	−0.141445	−	0.629147i
$983$	439.796	−	987.797i	0.447401	−	1.00488i	−0.539267	−	0.842135i	$-0.681299\pi$
$983$	439.796	−	987.797i	0.447401	−	1.00488i	0.986668	−	0.162745i	$-0.0520348\pi$
$984$	463.972	+	593.604i	0.471516	+	0.603256i
$985$	434.564	−	193.480i	0.441182	−	0.196427i
$986$	238.014	−	423.627i	0.241394	−	0.429642i
$987$	1448.55	−	836.321i	1.46763	−	0.847337i
$988$	53.9693	−	78.0616i	0.0546248	−	0.0790097i
$989$	−413.588	−	87.9108i	−0.418188	−	0.0888886i
$990$	−2.47134	−	0.771126i	−0.00249630	−	0.000778915i
$991$		−	1151.74i		−	1.16220i	−0.813831	−	0.581101i	$-0.802622\pi$
$991$		−	1151.74i		−	1.16220i	0.813831	−	0.581101i	$-0.197378\pi$
$992$	−985.089	−	116.890i	−0.993033	−	0.117833i
$993$	−408.504			−0.411383
$994$	0.921051	−	2.95182i	0.000926611	−	0.00296964i
$995$	−74.9167	+	352.455i	−0.0752932	+	0.354226i
$996$	−1212.13	−	838.027i	−1.21700	−	0.841393i
$997$	117.117	+	202.853i	0.117470	+	0.203464i	0.918764	−	0.394806i	$-0.129188\pi$
$997$	117.117	+	202.853i	0.117470	+	0.203464i	−0.801295	+	0.598270i	$0.795855\pi$
$998$	978.035	+	549.507i	0.979995	+	0.550608i
$999$	214.493	+	481.760i	0.214708	+	0.482242i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	124.3.n.a.71.17	yes	240
4.3	odd	2	inner	124.3.n.a.71.19	yes	240
31.7	even	15	inner	124.3.n.a.7.19	yes	240
124.7	odd	30	inner	124.3.n.a.7.17	✓	240

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
124.3.n.a.7.17	✓	240	124.7	odd	30	inner
124.3.n.a.7.19	yes	240	31.7	even	15	inner
124.3.n.a.71.17	yes	240	1.1	even	1	trivial
124.3.n.a.71.19	yes	240	4.3	odd	2	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 124 = 2^{2} \cdot 31 \)
Weight:	\( k \)	\(=\)	\( 3 \)
Character orbit:	\([\chi]\)	\(=\)	124.n (of order \(30\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(0.595729 - 1.90922i) q^{2} +(-0.631742 + 2.97211i) q^{3} +(-3.29021 - 2.27475i) q^{4} +(1.43502 + 2.48553i) q^{5} +(5.29806 + 2.97670i) q^{6} +(3.93413 + 8.83620i) q^{7} +(-6.30307 + 4.92660i) q^{8} +(-0.212439 - 0.0945840i) q^{9} +O(q^{10})\)	\(q+(0.595729 - 1.90922i) q^{2} +(-0.631742 + 2.97211i) q^{3} +(-3.29021 - 2.27475i) q^{4} +(1.43502 + 2.48553i) q^{5} +(5.29806 + 2.97670i) q^{6} +(3.93413 + 8.83620i) q^{7} +(-6.30307 + 4.92660i) q^{8} +(-0.212439 - 0.0945840i) q^{9} +(5.60029 - 1.25906i) q^{10} +(1.92885 + 0.202730i) q^{11} +(8.83938 - 8.34183i) q^{12} +(5.52553 - 6.13673i) q^{13} +(19.2139 - 2.24713i) q^{14} +(-8.29382 + 2.69483i) q^{15} +(5.65102 + 14.9688i) q^{16} +(1.19586 + 11.3779i) q^{17} +(-0.307138 + 0.349246i) q^{18} +(-2.13513 + 1.92248i) q^{19} +(0.932431 - 11.4422i) q^{20} +(-28.7475 + 6.11047i) q^{21} +(1.53613 - 3.56182i) q^{22} +(-4.46861 - 6.15052i) q^{23} +(-10.6605 - 21.8458i) q^{24} +(8.38144 - 14.5171i) q^{25} +(-8.42462 - 14.2053i) q^{26} +(-15.6586 + 21.5522i) q^{27} +(7.15602 - 38.0221i) q^{28} +(6.56240 - 20.1970i) q^{29} +(0.204137 + 17.4401i) q^{30} +(-30.5177 - 5.44709i) q^{31} +(31.9452 - 1.87166i) q^{32} +(-1.82107 + 5.60469i) q^{33} +(22.4353 + 4.49497i) q^{34} +(-16.3171 + 22.4585i) q^{35} +(0.483816 + 0.794448i) q^{36} +(9.89774 - 17.1434i) q^{37} +(2.39847 + 5.22169i) q^{38} +(14.7483 + 20.2993i) q^{39} +(-21.2902 - 8.59668i) q^{40} +(-30.3171 + 6.44411i) q^{41} +(-5.45951 + 58.5254i) q^{42} +(41.3316 - 37.2152i) q^{43} +(-5.88517 - 5.05468i) q^{44} +(-0.0697633 - 0.663753i) q^{45} +(-14.4048 + 4.86751i) q^{46} +(-54.1269 + 17.5869i) q^{47} +(-48.0590 + 7.33902i) q^{48} +(-29.8136 + 33.1114i) q^{49} +(-22.7232 - 24.6502i) q^{50} +(-34.5718 - 3.63365i) q^{51} +(-32.1397 + 7.62193i) q^{52} +(83.0012 + 36.9545i) q^{53} +(31.8196 + 42.7349i) q^{54} +(2.26405 + 5.08513i) q^{55} +(-68.3295 - 36.3133i) q^{56} +(-4.36496 - 7.56034i) q^{57} +(-34.6510 - 24.5610i) q^{58} +(17.5298 - 82.4714i) q^{59} +(33.4185 + 9.99982i) q^{60} +18.5876 q^{61} +(-28.5799 + 55.0199i) q^{62} -2.24926i q^{63} +(15.4573 - 62.1053i) q^{64} +(23.1822 + 4.92754i) q^{65} +(9.61569 + 6.81570i) q^{66} +(85.4391 - 49.3283i) q^{67} +(21.9472 - 40.1560i) q^{68} +(21.1030 - 9.39568i) q^{69} +(33.1576 + 44.5320i) q^{70} +(0.0650149 - 0.146026i) q^{71} +(1.80500 - 0.450433i) q^{72} +(-1.57415 + 14.9770i) q^{73} +(-26.8341 - 29.1097i) q^{74} +(37.8515 + 34.0816i) q^{75} +(11.3982 - 1.46848i) q^{76} +(5.79698 + 17.8413i) q^{77} +(47.5418 - 16.0648i) q^{78} +(149.725 - 15.7367i) q^{79} +(-29.0961 + 35.5263i) q^{80} +(-55.5638 - 61.7099i) q^{81} +(-5.75760 + 61.7209i) q^{82} +(-25.2083 - 118.595i) q^{83} +(108.485 + 45.2887i) q^{84} +(-26.5640 + 19.2998i) q^{85} +(-46.4294 - 101.081i) q^{86} +(55.8819 + 32.2635i) q^{87} +(-13.1564 + 8.22485i) q^{88} +(-129.124 - 93.8142i) q^{89} +(-1.30881 - 0.262224i) q^{90} +(75.9635 + 24.6820i) q^{91} +(0.711801 + 30.4015i) q^{92} +(35.4687 - 87.2608i) q^{93} +(1.33224 + 113.817i) q^{94} +(-7.84231 - 2.54812i) q^{95} +(-14.6184 + 96.1271i) q^{96} +(84.0458 + 61.0628i) q^{97} +(45.4560 + 76.6461i) q^{98} +(-0.390589 - 0.225506i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 240 q - 6 q^{2} - 10 q^{4} - 8 q^{5} - 5 q^{6} - 27 q^{8} - 96 q^{9}+O(q^{10}) \) 240 * q - 6 * q^2 - 10 * q^4 - 8 * q^5 - 5 * q^6 - 27 * q^8 - 96 * q^9	\( 240 q - 6 q^{2} - 10 q^{4} - 8 q^{5} - 5 q^{6} - 27 q^{8} - 96 q^{9} - 4 q^{10} + 27 q^{12} - 26 q^{13} + 10 q^{14} + 46 q^{16} - 18 q^{17} - 11 q^{18} + 143 q^{20} + 90 q^{21} + 77 q^{22} - 54 q^{24} - 464 q^{25} - 27 q^{26} - 52 q^{28} - 12 q^{29} + 206 q^{30} + 154 q^{32} + 72 q^{33} - 168 q^{34} + 23 q^{36} - 48 q^{37} - 78 q^{38} + 85 q^{40} - 18 q^{41} - 91 q^{42} - 493 q^{44} - 30 q^{45} + 198 q^{46} - 314 q^{48} + 48 q^{49} - 563 q^{50} - 551 q^{52} + 46 q^{53} - 600 q^{54} - 90 q^{56} - 44 q^{57} - 125 q^{58} - 77 q^{60} + 208 q^{61} - 17 q^{62} - 529 q^{64} + 132 q^{65} + 788 q^{66} + 364 q^{68} + 36 q^{69} + 586 q^{70} + 1113 q^{72} + 214 q^{73} + 351 q^{74} + 824 q^{76} + 456 q^{77} + 123 q^{78} + 410 q^{80} + 90 q^{81} - 718 q^{82} - 412 q^{84} + 394 q^{85} + 680 q^{86} - 141 q^{88} + 12 q^{89} + 193 q^{90} - 520 q^{92} + 82 q^{93} - 876 q^{94} + 888 q^{96} - 548 q^{97} + 32 q^{98}+O(q^{100}) \) 240 * q - 6 * q^2 - 10 * q^4 - 8 * q^5 - 5 * q^6 - 27 * q^8 - 96 * q^9 - 4 * q^10 + 27 * q^12 - 26 * q^13 + 10 * q^14 + 46 * q^16 - 18 * q^17 - 11 * q^18 + 143 * q^20 + 90 * q^21 + 77 * q^22 - 54 * q^24 - 464 * q^25 - 27 * q^26 - 52 * q^28 - 12 * q^29 + 206 * q^30 + 154 * q^32 + 72 * q^33 - 168 * q^34 + 23 * q^36 - 48 * q^37 - 78 * q^38 + 85 * q^40 - 18 * q^41 - 91 * q^42 - 493 * q^44 - 30 * q^45 + 198 * q^46 - 314 * q^48 + 48 * q^49 - 563 * q^50 - 551 * q^52 + 46 * q^53 - 600 * q^54 - 90 * q^56 - 44 * q^57 - 125 * q^58 - 77 * q^60 + 208 * q^61 - 17 * q^62 - 529 * q^64 + 132 * q^65 + 788 * q^66 + 364 * q^68 + 36 * q^69 + 586 * q^70 + 1113 * q^72 + 214 * q^73 + 351 * q^74 + 824 * q^76 + 456 * q^77 + 123 * q^78 + 410 * q^80 + 90 * q^81 - 718 * q^82 - 412 * q^84 + 394 * q^85 + 680 * q^86 - 141 * q^88 + 12 * q^89 + 193 * q^90 - 520 * q^92 + 82 * q^93 - 876 * q^94 + 888 * q^96 - 548 * q^97 + 32 * q^98

Introduction

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