LMFDB - Embedded newform 25.3.f.a.17.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [25,3,Mod(2,25)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(25, base_ring=CyclotomicField(20))

chi = DirichletCharacter(H, H._module([1]))

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

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

chi := DirichletCharacter("25.2");

S:= CuspForms(chi, 3);

N := Newforms(S);

Level:	$ N $	$=$	$ 25 = 5^{2} $
Weight:	$ k $	$=$	$ 3 $
Character orbit:	$[\chi]$	$=$	25.f (of order $20$, 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:	$0.681200660901$
Analytic rank:	$0$
Dimension:	$32$
Relative dimension:	$4$ over $\Q(\zeta_{20})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label			17.1
Character	$\chi$	$=$	25.17
Dual form			25.3.f.a.3.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.69523 + 3.32707i) q^{2} +(-0.0858318 + 0.541921i) q^{3} +(-5.84445 - 8.04419i) q^{4} +(2.26962 + 4.45520i) q^{5} +(-1.65750 - 1.20425i) q^{6} +(1.68463 + 1.68463i) q^{7} +(21.9189 - 3.47161i) q^{8} +(8.27320 + 2.68812i) q^{9} +O(q^{10})$	\(q+(-1.69523 + 3.32707i) q^{2} +(-0.0858318 + 0.541921i) q^{3} +(-5.84445 - 8.04419i) q^{4} +(2.26962 + 4.45520i) q^{5} +(-1.65750 - 1.20425i) q^{6} +(1.68463 + 1.68463i) q^{7} +(21.9189 - 3.47161i) q^{8} +(8.27320 + 2.68812i) q^{9} +(-18.6703 - 0.00137996i) q^{10} +(-2.56403 - 7.89126i) q^{11} +(4.86096 - 2.47678i) q^{12} +(-5.04839 - 9.90802i) q^{13} +(-8.46071 + 2.74905i) q^{14} +(-2.60917 + 0.847558i) q^{15} +(-13.3168 + 40.9848i) q^{16} +(0.715822 + 4.51952i) q^{17} +(-22.9685 + 22.9685i) q^{18} +(12.8236 - 17.6502i) q^{19} +(22.5738 - 44.2955i) q^{20} +(-1.05753 + 0.768341i) q^{21} +(30.6014 + 4.84678i) q^{22} +(-20.0785 - 10.2305i) q^{23} +12.1763i q^{24} +(-14.6976 + 20.2233i) q^{25} +41.5228 q^{26} +(-4.40870 + 8.65255i) q^{27} +(3.70576 - 23.3972i) q^{28} +(17.4721 + 24.0483i) q^{29} +(1.60325 - 10.1177i) q^{30} +(-17.6079 - 12.7929i) q^{31} +(-51.0155 - 51.0155i) q^{32} +(4.49651 - 0.712178i) q^{33} +(-16.2502 - 5.28003i) q^{34} +(-3.68189 + 11.3288i) q^{35} +(-26.7285 - 82.2618i) q^{36} +(9.49023 - 4.83551i) q^{37} +(36.9844 + 72.5860i) q^{38} +(5.80267 - 1.88540i) q^{39} +(65.2144 + 89.7739i) q^{40} +(-7.33421 + 22.5724i) q^{41} +(-0.763569 - 4.82099i) q^{42} +(14.6230 - 14.6230i) q^{43} +(-48.4935 + 66.7456i) q^{44} +(6.80091 + 42.9598i) q^{45} +(68.0752 - 49.4595i) q^{46} +(-55.8932 - 8.85261i) q^{47} +(-21.0675 - 10.7344i) q^{48} -43.3240i q^{49} +(-42.3683 - 83.1830i) q^{50} -2.51066 q^{51} +(-50.1970 + 98.5172i) q^{52} +(4.98530 - 31.4759i) q^{53} +(-21.3139 - 29.3361i) q^{54} +(29.3378 - 29.3335i) q^{55} +(42.7736 + 31.0769i) q^{56} +(8.46431 + 8.46431i) q^{57} +(-109.630 + 17.3636i) q^{58} +(-9.66317 - 3.13976i) q^{59} +(22.0671 + 16.0352i) q^{60} +(11.3394 + 34.8991i) q^{61} +(72.4123 - 36.8959i) q^{62} +(9.40878 + 18.4658i) q^{63} +(92.2754 - 29.9821i) q^{64} +(32.6843 - 44.9791i) q^{65} +(-5.25314 + 16.1675i) q^{66} +(-13.3604 - 84.3541i) q^{67} +(32.1723 - 32.1723i) q^{68} +(7.26750 - 10.0029i) q^{69} +(-31.4502 - 31.4548i) q^{70} +(-56.9086 + 41.3465i) q^{71} +(190.672 + 30.1994i) q^{72} +(34.3118 + 17.4827i) q^{73} +39.7719i q^{74} +(-9.69788 - 9.70074i) q^{75} -216.928 q^{76} +(8.97442 - 17.6133i) q^{77} +(-3.56398 + 22.5021i) q^{78} +(75.3179 + 103.666i) q^{79} +(-212.820 + 33.6912i) q^{80} +(59.0278 + 42.8862i) q^{81} +(-62.6667 - 62.6667i) q^{82} +(68.5021 - 10.8497i) q^{83} +(12.3614 + 4.01645i) q^{84} +(-18.5107 + 13.4468i) q^{85} +(23.8625 + 73.4411i) q^{86} +(-14.5320 + 7.40440i) q^{87} +(-83.5961 - 164.067i) q^{88} +(-152.094 + 49.4183i) q^{89} +(-154.459 - 50.1995i) q^{90} +(8.18668 - 25.1960i) q^{91} +(35.0516 + 221.307i) q^{92} +(8.44406 - 8.44406i) q^{93} +(124.205 - 170.953i) q^{94} +(107.740 + 17.0725i) q^{95} +(32.0251 - 23.2676i) q^{96} +(-46.9941 - 7.44313i) q^{97} +(144.142 + 73.4440i) q^{98} -72.1784i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 32 q - 10 q^{2} - 10 q^{3} - 10 q^{4} - 10 q^{5} - 6 q^{6} - 10 q^{7} - 10 q^{8} - 10 q^{9}+O(q^{10}) $ 32 * q - 10 * q^2 - 10 * q^3 - 10 * q^4 - 10 * q^5 - 6 * q^6 - 10 * q^7 - 10 * q^8 - 10 * q^9	\( 32 q - 10 q^{2} - 10 q^{3} - 10 q^{4} - 10 q^{5} - 6 q^{6} - 10 q^{7} - 10 q^{8} - 10 q^{9} - 10 q^{10} - 6 q^{11} - 10 q^{12} - 10 q^{13} - 10 q^{14} - 10 q^{15} + 2 q^{16} + 60 q^{17} + 140 q^{18} + 90 q^{19} + 130 q^{20} - 6 q^{21} + 70 q^{22} + 10 q^{23} - 40 q^{25} + 4 q^{26} - 100 q^{27} - 250 q^{28} - 110 q^{29} - 250 q^{30} - 6 q^{31} - 290 q^{32} - 190 q^{33} - 260 q^{34} - 120 q^{35} - 58 q^{36} + 50 q^{37} + 320 q^{38} + 390 q^{39} + 440 q^{40} - 86 q^{41} + 690 q^{42} + 230 q^{43} + 340 q^{44} + 310 q^{45} - 6 q^{46} + 70 q^{47} + 160 q^{48} - 100 q^{50} - 16 q^{51} - 320 q^{52} - 190 q^{53} - 660 q^{54} - 250 q^{55} - 70 q^{56} - 650 q^{57} - 640 q^{58} - 260 q^{59} - 550 q^{60} + 114 q^{61} + 60 q^{62} - 20 q^{63} + 340 q^{64} + 360 q^{65} + 138 q^{66} + 270 q^{67} + 710 q^{68} + 340 q^{69} + 310 q^{70} - 66 q^{71} + 360 q^{72} + 30 q^{73} - 90 q^{75} - 80 q^{76} - 250 q^{77} - 500 q^{78} - 210 q^{79} - 850 q^{80} + 62 q^{81} + 30 q^{82} - 10 q^{84} + 600 q^{85} - 6 q^{86} + 300 q^{87} + 190 q^{88} - 10 q^{89} + 380 q^{90} - 6 q^{91} - 30 q^{92} + 520 q^{93} + 790 q^{94} + 310 q^{95} + 174 q^{96} + 270 q^{97} + 170 q^{98}+O(q^{100}) \) 32 * q - 10 * q^2 - 10 * q^3 - 10 * q^4 - 10 * q^5 - 6 * q^6 - 10 * q^7 - 10 * q^8 - 10 * q^9 - 10 * q^10 - 6 * q^11 - 10 * q^12 - 10 * q^13 - 10 * q^14 - 10 * q^15 + 2 * q^16 + 60 * q^17 + 140 * q^18 + 90 * q^19 + 130 * q^20 - 6 * q^21 + 70 * q^22 + 10 * q^23 - 40 * q^25 + 4 * q^26 - 100 * q^27 - 250 * q^28 - 110 * q^29 - 250 * q^30 - 6 * q^31 - 290 * q^32 - 190 * q^33 - 260 * q^34 - 120 * q^35 - 58 * q^36 + 50 * q^37 + 320 * q^38 + 390 * q^39 + 440 * q^40 - 86 * q^41 + 690 * q^42 + 230 * q^43 + 340 * q^44 + 310 * q^45 - 6 * q^46 + 70 * q^47 + 160 * q^48 - 100 * q^50 - 16 * q^51 - 320 * q^52 - 190 * q^53 - 660 * q^54 - 250 * q^55 - 70 * q^56 - 650 * q^57 - 640 * q^58 - 260 * q^59 - 550 * q^60 + 114 * q^61 + 60 * q^62 - 20 * q^63 + 340 * q^64 + 360 * q^65 + 138 * q^66 + 270 * q^67 + 710 * q^68 + 340 * q^69 + 310 * q^70 - 66 * q^71 + 360 * q^72 + 30 * q^73 - 90 * q^75 - 80 * q^76 - 250 * q^77 - 500 * q^78 - 210 * q^79 - 850 * q^80 + 62 * q^81 + 30 * q^82 - 10 * q^84 + 600 * q^85 - 6 * q^86 + 300 * q^87 + 190 * q^88 - 10 * q^89 + 380 * q^90 - 6 * q^91 - 30 * q^92 + 520 * q^93 + 790 * q^94 + 310 * q^95 + 174 * q^96 + 270 * q^97 + 170 * q^98

Display 100 coefficients 10 coefficients

Character values

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

$n$	$2$
$\chi(n)$	$e\left(\frac{13}{20}\right)$

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 $

$2$	−1.69523	+	3.32707i	−0.847613	+	1.66353i	−0.104344	+	0.994541i	$0.533274\pi$
$2$	−1.69523	+	3.32707i	−0.847613	+	1.66353i	−0.743269	+	0.668993i	$0.766726\pi$
$3$	−0.0858318	+	0.541921i	−0.0286106	+	0.180640i	−0.997855	−	0.0654589i	$-0.979149\pi$
$3$	−0.0858318	+	0.541921i	−0.0286106	+	0.180640i	0.969245	+	0.246099i	$0.0791489\pi$
$4$	−5.84445	−	8.04419i	−1.46111	−	2.01105i
$5$	2.26962	+	4.45520i	0.453925	+	0.891040i
$5$	2.26962	+	4.45520i	0.453925	+	0.891040i
$6$	−1.65750	−	1.20425i	−0.276250	−	0.200708i
$7$	1.68463	+	1.68463i	0.240661	+	0.240661i	0.817124	−	0.576462i	$-0.195567\pi$
$7$	1.68463	+	1.68463i	0.240661	+	0.240661i	−0.576462	+	0.817124i	$0.695567\pi$
$8$	21.9189	−	3.47161i	2.73986	−	0.433952i
$9$	8.27320	+	2.68812i	0.919244	+	0.298681i
$10$	−18.6703	−	0.00137996i	−1.86703	−	0.000137996i
$11$	−2.56403	−	7.89126i	−0.233093	−	0.717388i	−0.997369	−	0.0724975i	$-0.976903\pi$
$11$	−2.56403	−	7.89126i	−0.233093	−	0.717388i	0.764275	−	0.644890i	$-0.223097\pi$
$12$	4.86096	−	2.47678i	0.405080	−	0.206398i
$13$	−5.04839	−	9.90802i	−0.388338	−	0.762156i	0.611233	−	0.791451i	$-0.290674\pi$
$13$	−5.04839	−	9.90802i	−0.388338	−	0.762156i	−0.999571	+	0.0292950i	$0.990674\pi$
$14$	−8.46071	+	2.74905i	−0.604336	+	0.196361i
$15$	−2.60917	+	0.847558i	−0.173945	+	0.0565039i
$16$	−13.3168	+	40.9848i	−0.832298	+	2.56155i
$17$	0.715822	+	4.51952i	0.0421072	+	0.265854i	0.999756	−	0.0220840i	$-0.00703014\pi$
$17$	0.715822	+	4.51952i	0.0421072	+	0.265854i	−0.957649	+	0.287938i	$0.907030\pi$
$18$	−22.9685	+	22.9685i	−1.27603	+	1.27603i
$19$	12.8236	−	17.6502i	0.674926	−	0.928956i	−0.324933	−	0.945737i	$-0.605342\pi$
$19$	12.8236	−	17.6502i	0.674926	−	0.928956i	0.999859	+	0.0167812i	$0.00534187\pi$
$20$	22.5738	−	44.2955i	1.12869	−	2.21477i
$21$	−1.05753	+	0.768341i	−0.0503586	+	0.0365877i
$22$	30.6014	+	4.84678i	1.39097	+	0.220308i
$23$	−20.0785	−	10.2305i	−0.872979	−	0.444805i	−0.0407058	−	0.999171i	$-0.512961\pi$
$23$	−20.0785	−	10.2305i	−0.872979	−	0.444805i	−0.832273	+	0.554366i	$0.812961\pi$
$24$			12.1763i			0.507345i
$25$	−14.6976	+	20.2233i	−0.587905	+	0.808930i
$26$	41.5228			1.59703
$27$	−4.40870	+	8.65255i	−0.163285	+	0.320465i
$28$	3.70576	−	23.3972i	0.132348	−	0.835615i
$29$	17.4721	+	24.0483i	0.602488	+	0.829253i	0.995933	−	0.0900948i	$-0.0287170\pi$
$29$	17.4721	+	24.0483i	0.602488	+	0.829253i	−0.393446	+	0.919348i	$0.628717\pi$
$30$	1.60325	−	10.1177i	0.0534417	−	0.337256i
$31$	−17.6079	−	12.7929i	−0.567997	−	0.412674i	0.266380	−	0.963868i	$-0.414172\pi$
$31$	−17.6079	−	12.7929i	−0.567997	−	0.412674i	−0.834377	+	0.551194i	$0.814172\pi$
$32$	−51.0155	−	51.0155i	−1.59423	−	1.59423i
$33$	4.49651	−	0.712178i	0.136258	−	0.0215812i
$34$	−16.2502	−	5.28003i	−0.477948	−	0.155295i
$35$	−3.68189	+	11.3288i	−0.105197	+	0.323681i
$36$	−26.7285	−	82.2618i	−0.742458	−	2.28505i
$37$	9.49023	−	4.83551i	0.256493	−	0.130690i	−0.321017	−	0.947073i	$-0.604025\pi$
$37$	9.49023	−	4.83551i	0.256493	−	0.130690i	0.577510	+	0.816384i	$0.304025\pi$
$38$	36.9844	+	72.5860i	0.973274	+	1.91016i
$39$	5.80267	−	1.88540i	0.148787	−	0.0483437i
$40$	65.2144	+	89.7739i	1.63036	+	2.24435i
$41$	−7.33421	+	22.5724i	−0.178883	+	0.550546i	−0.999790	−	0.0205172i	$-0.993469\pi$
$41$	−7.33421	+	22.5724i	−0.178883	+	0.550546i	0.820906	+	0.571063i	$0.193469\pi$
$42$	−0.763569	−	4.82099i	−0.0181802	−	0.114785i
$43$	14.6230	−	14.6230i	0.340070	−	0.340070i	−0.516323	−	0.856394i	$-0.672700\pi$
$43$	14.6230	−	14.6230i	0.340070	−	0.340070i	0.856394	+	0.516323i	$0.172700\pi$
$44$	−48.4935	+	66.7456i	−1.10213	+	1.51695i
$45$	6.80091	+	42.9598i	0.151131	+	0.954662i
$46$	68.0752	−	49.4595i	1.47990	−	1.07521i
$47$	−55.8932	−	8.85261i	−1.18922	−	0.188353i	−0.469698	−	0.882827i	$-0.655637\pi$
$47$	−55.8932	−	8.85261i	−1.18922	−	0.188353i	−0.719518	+	0.694474i	$0.755637\pi$
$48$	−21.0675	−	10.7344i	−0.438906	−	0.223634i
$49$		−	43.3240i		−	0.884164i
$50$	−42.3683	−	83.1830i	−0.847367	−	1.66366i
$51$	−2.51066			−0.0492287
$52$	−50.1970	+	98.5172i	−0.965327	+	1.89456i
$53$	4.98530	−	31.4759i	0.0940623	−	0.593886i	−0.894963	−	0.446140i	$-0.852798\pi$
$53$	4.98530	−	31.4759i	0.0940623	−	0.593886i	0.989025	−	0.147746i	$-0.0472017\pi$
$54$	−21.3139	−	29.3361i	−0.394702	−	0.543260i
$55$	29.3378	−	29.3335i	0.533414	−	0.533335i
$56$	42.7736	+	31.0769i	0.763815	+	0.554944i
$57$	8.46431	+	8.46431i	0.148497	+	0.148497i
$58$	−109.630	+	17.3636i	−1.89017	+	0.299373i
$59$	−9.66317	−	3.13976i	−0.163783	−	0.0532162i	0.225978	−	0.974132i	$-0.427442\pi$
$59$	−9.66317	−	3.13976i	−0.163783	−	0.0532162i	−0.389761	+	0.920916i	$0.627442\pi$
$60$	22.0671	+	16.0352i	0.367785	+	0.267253i
$61$	11.3394	+	34.8991i	0.185892	+	0.572116i	0.999963	−	0.00864947i	$-0.00275325\pi$
$61$	11.3394	+	34.8991i	0.185892	+	0.572116i	−0.814071	+	0.580766i	$0.802753\pi$
$62$	72.4123	−	36.8959i	1.16794	−	0.595095i
$63$	9.40878	+	18.4658i	0.149346	+	0.293107i
$64$	92.2754	−	29.9821i	1.44180	−	0.468470i
$65$	32.6843	−	44.9791i	0.502835	−	0.691986i
$66$	−5.25314	+	16.1675i	−0.0795931	+	0.244962i
$67$	−13.3604	−	84.3541i	−0.199409	−	1.25902i	−0.860787	−	0.508965i	$-0.830028\pi$
$67$	−13.3604	−	84.3541i	−0.199409	−	1.25902i	0.661379	−	0.750052i	$-0.269972\pi$
$68$	32.1723	−	32.1723i	0.473123	−	0.473123i
$69$	7.26750	−	10.0029i	0.105326	−	0.144969i
$70$	−31.4502	−	31.4548i	−0.449288	−	0.449355i
$71$	−56.9086	+	41.3465i	−0.801530	+	0.582345i	−0.911363	−	0.411605i	$-0.864968\pi$
$71$	−56.9086	+	41.3465i	−0.801530	+	0.582345i	0.109833	+	0.993950i	$0.464968\pi$
$72$	190.672	+	30.1994i	2.64822	+	0.419436i
$73$	34.3118	+	17.4827i	0.470024	+	0.239489i	0.672926	−	0.739710i	$-0.265037\pi$
$73$	34.3118	+	17.4827i	0.470024	+	0.239489i	−0.202902	+	0.979199i	$0.565037\pi$
$74$			39.7719i			0.537459i
$75$	−9.69788	−	9.70074i	−0.129305	−	0.129343i
$76$	−216.928			−2.85432
$77$	8.97442	−	17.6133i	0.116551	−	0.228744i
$78$	−3.56398	+	22.5021i	−0.0456920	+	0.288488i
$79$	75.3179	+	103.666i	0.953391	+	1.31223i	0.950005	+	0.312235i	$0.101078\pi$
$79$	75.3179	+	103.666i	0.953391	+	1.31223i	0.00338596	+	0.999994i	$0.498922\pi$
$80$	−212.820	+	33.6912i	−2.66024	+	0.421140i
$81$	59.0278	+	42.8862i	0.728739	+	0.529460i
$82$	−62.6667	−	62.6667i	−0.764228	−	0.764228i
$83$	68.5021	−	10.8497i	0.825326	−	0.130719i	0.270537	−	0.962710i	$-0.412799\pi$
$83$	68.5021	−	10.8497i	0.825326	−	0.130719i	0.554789	+	0.831991i	$0.312799\pi$
$84$	12.3614	+	4.01645i	0.147159	+	0.0478149i
$85$	−18.5107	+	13.4468i	−0.217773	+	0.158197i
$86$	23.8625	+	73.4411i	0.277470	+	0.853966i
$87$	−14.5320	+	7.40440i	−0.167034	+	0.0851081i
$88$	−83.5961	−	164.067i	−0.949956	−	1.86439i
$89$	−152.094	+	49.4183i	−1.70892	+	0.555262i	−0.990153	−	0.139987i	$-0.955294\pi$
$89$	−152.094	+	49.4183i	−1.70892	+	0.555262i	−0.718768	+	0.695250i	$0.755294\pi$
$90$	−154.459	−	50.1995i	−1.71621	−	0.557772i
$91$	8.18668	−	25.1960i	0.0899635	−	0.276879i
$92$	35.0516	+	221.307i	0.380996	+	2.40551i
$93$	8.44406	−	8.44406i	0.0907963	−	0.0907963i
$94$	124.205	−	170.953i	1.32133	−	1.81865i
$95$	107.740	+	17.0725i	1.13410	+	0.179710i
$96$	32.0251	−	23.2676i	0.333595	−	0.242371i
$97$	−46.9941	−	7.44313i	−0.484475	−	0.0767333i	−0.0905807	−	0.995889i	$-0.528872\pi$
$97$	−46.9941	−	7.44313i	−0.484475	−	0.0767333i	−0.393894	+	0.919156i	$0.628872\pi$
$98$	144.142	+	73.4440i	1.47084	+	0.749429i
$99$		−	72.1784i		−	0.729075i
$100$	248.579	+	0.0367459i	2.48579	+	0.000367459i
$101$	−10.8795			−0.107718			−0.0538590	−	0.998549i	$-0.517152\pi$
$101$	−10.8795			−0.107718			−0.0538590	+	0.998549i	$0.517152\pi$
$102$	4.25614	−	8.35315i	0.0417269	−	0.0818936i
$103$	−29.1435	+	184.005i	−0.282946	+	1.78645i	0.280042	+	0.959988i	$0.409652\pi$
$103$	−29.1435	+	184.005i	−0.282946	+	1.78645i	−0.562988	+	0.826465i	$0.690348\pi$
$104$	−145.052	−	199.647i	−1.39473	−	1.91968i
$105$	−5.82331	−	2.96767i	−0.0554601	−	0.0282635i
$106$	96.2714	+	69.9453i	0.908221	+	0.659861i
$107$	42.8018	+	42.8018i	0.400016	+	0.400016i	0.878239	−	0.478222i	$-0.158719\pi$
$107$	42.8018	+	42.8018i	0.400016	+	0.400016i	−0.478222	+	0.878239i	$0.658719\pi$
$108$	95.3692	−	15.1050i	0.883048	−	0.139861i
$109$	−82.0803	−	26.6695i	−0.753030	−	0.244674i	−0.0927455	−	0.995690i	$-0.529564\pi$
$109$	−82.0803	−	26.6695i	−0.753030	−	0.244674i	−0.660284	+	0.751016i	$0.729564\pi$
$110$	47.8602	+	147.336i	0.435093	+	1.33941i
$111$	1.80590	+	5.55799i	0.0162694	+	0.0500720i
$112$	−91.4780	+	46.6104i	−0.816768	+	0.416164i
$113$	−78.9621	−	154.972i	−0.698780	−	1.37143i	−0.918324	−	0.395830i	$-0.870457\pi$
$113$	−78.9621	−	154.972i	−0.698780	−	1.37143i	0.219544	−	0.975603i	$-0.429543\pi$
$114$	−42.5103	+	13.8124i	−0.372897	+	0.121162i
$115$	0.00832789	−	112.673i	7.24164e−5	−	0.979767i
$116$	91.3345	−	281.099i	0.787366	−	2.42326i
$117$	−15.1323	−	95.5417i	−0.129336	−	0.816596i
$118$	26.8274	−	26.8274i	0.227351	−	0.227351i
$119$	−6.40783	+	8.81962i	−0.0538473	+	0.0741145i
$120$	−54.2478	+	27.6356i	−0.452065	+	0.230297i
$121$	42.1932	−	30.6552i	0.348704	−	0.253349i
$122$	−135.334	−	21.4349i	−1.10930	−	0.175696i
$123$	−11.6029	−	5.91199i	−0.0943327	−	0.0480649i
$124$			216.409i			1.74523i
$125$	−123.457	−	19.5817i	−0.987654	−	0.156653i
$126$	−77.3869			−0.614182
$127$	−82.2153	+	161.357i	−0.647365	+	1.27052i	0.301085	+	0.953597i	$0.402651\pi$
$127$	−82.2153	+	161.357i	−0.647365	+	1.27052i	−0.948450	+	0.316927i	$0.897349\pi$
$128$	−11.5302	+	72.7989i	−0.0900798	+	0.568742i
$129$	6.66940	+	9.17964i	0.0517008	+	0.0711600i
$130$	94.2412	+	184.992i	0.724932	+	1.42302i
$131$	−101.989	−	74.0993i	−0.778541	−	0.565643i	0.126000	−	0.992030i	$-0.459786\pi$
$131$	−101.989	−	74.0993i	−0.778541	−	0.565643i	−0.904541	+	0.426387i	$0.859786\pi$
$132$	−32.0086	−	32.0086i	−0.242489	−	0.242489i
$133$	51.3370	−	8.13098i	0.385992	−	0.0611352i
$134$	303.301	+	98.5484i	2.26344	+	0.735436i
$135$	−48.5549	−	0.00358879i	−0.359666	−	2.65836e-5i
$136$	31.3801	+	96.5780i	0.230736	+	0.710132i
$137$	173.822	−	88.5669i	1.26878	−	0.646474i	0.315601	−	0.948892i	$-0.397794\pi$
$137$	173.822	−	88.5669i	1.26878	−	0.646474i	0.953175	+	0.302418i	$0.0977940\pi$
$138$	20.9601	+	41.1366i	0.151885	+	0.298091i
$139$	41.6825	−	13.5435i	0.299874	−	0.0974351i	−0.155215	−	0.987881i	$-0.549607\pi$
$139$	41.6825	−	13.5435i	0.299874	−	0.0974351i	0.455090	+	0.890446i	$0.349607\pi$
$140$	112.650	−	36.5930i	0.804643	−	0.261379i
$141$	9.59483	−	29.5298i	0.0680484	−	0.209431i
$142$	−41.0898	−	259.431i	−0.289364	−	1.82698i
$143$	−65.2426	+	65.2426i	−0.456242	+	0.456242i
$144$	−220.345	+	303.278i	−1.53017	+	2.10610i
$145$	−67.4850	+	132.423i	−0.465414	+	0.913259i
$146$	−116.332	+	84.5205i	−0.796797	+	0.578907i
$147$	23.4782	+	3.71858i	0.159716	+	0.0252965i
$148$	−94.3630	−	48.0803i	−0.637588	−	0.324867i
$149$		−	87.7781i		−	0.589115i	−0.955634	−	0.294557i	$-0.904828\pi$
$149$		−	87.7781i		−	0.589115i	0.955634	−	0.294557i	$-0.0951722\pi$
$150$	48.7151	−	15.8205i	0.324767	−	0.105470i
$151$	64.1700			0.424967			0.212483	−	0.977165i	$-0.431845\pi$
$151$	64.1700			0.424967			0.212483	+	0.977165i	$0.431845\pi$
$152$	219.805	−	431.391i	1.44608	−	2.83810i
$153$	−6.22691	+	39.3151i	−0.0406987	+	0.256962i
$154$	43.3870	+	59.7170i	0.281734	+	0.387773i
$155$	17.0316	−	107.482i	0.109881	−	0.693431i
$156$	−49.0800	−	35.6587i	−0.314615	−	0.228581i
$157$	145.593	+	145.593i	0.927345	+	0.927345i	0.997534	−	0.0701883i	$-0.0223600\pi$
$157$	145.593	+	145.593i	0.927345	+	0.927345i	−0.0701883	+	0.997534i	$0.522360\pi$
$158$	−472.585	+	74.8501i	−2.99104	+	0.473735i
$159$	16.6296	+	5.40327i	0.104588	+	0.0339829i
$160$	111.498	−	343.070i	0.696864	−	2.14419i
$161$	−16.5902	−	51.0595i	−0.103045	−	0.317140i
$162$	−242.751	+	123.688i	−1.49846	+	0.763505i
$163$	54.7704	+	107.493i	0.336015	+	0.659466i	0.995757	−	0.0920264i	$-0.0293344\pi$
$163$	54.7704	+	107.493i	0.336015	+	0.659466i	−0.659742	+	0.751492i	$0.729334\pi$
$164$	224.441	−	72.9253i	1.36854	−	0.444666i
$165$	13.3783	+	18.4165i	0.0810805	+	0.111615i
$166$	−80.0289	+	246.304i	−0.482102	+	1.48376i
$167$	37.4274	+	236.307i	0.224116	+	1.41501i	0.801233	+	0.598352i	$0.204178\pi$
$167$	37.4274	+	236.307i	0.224116	+	1.41501i	−0.577117	+	0.816661i	$0.695822\pi$
$168$	−20.5125	+	20.5125i	−0.122098	+	0.122098i
$169$	26.6530	−	36.6848i	0.157710	−	0.217070i
$170$	−13.3584	−	84.3818i	−0.0785786	−	0.496363i
$171$	153.538	−	111.552i	0.897883	−	0.652350i
$172$	−203.094	−	32.1669i	−1.18078	−	0.187017i
$173$	−215.768	−	109.939i	−1.24721	−	0.635487i	−0.299343	−	0.954145i	$-0.596768\pi$
$173$	−215.768	−	109.939i	−1.24721	−	0.635487i	−0.947869	+	0.318659i	$0.896768\pi$
$174$		−	60.9010i		−	0.350005i
$175$	−58.8287	+	9.30864i	−0.336164	+	0.0531923i
$176$	357.566			2.03163
$177$	2.53091	−	4.96718i	0.0142989	−	0.0280632i
$178$	93.4155	−	589.802i	0.524806	−	3.31350i
$179$	173.090	+	238.238i	0.966985	+	1.33094i	0.943555	+	0.331216i	$0.107459\pi$
$179$	173.090	+	238.238i	0.966985	+	1.33094i	0.0234304	+	0.999725i	$0.492541\pi$
$180$	305.829	−	305.784i	1.69905	−	1.69880i
$181$	83.9876	+	61.0206i	0.464020	+	0.337130i	0.795106	−	0.606470i	$-0.207415\pi$
$181$	83.9876	+	61.0206i	0.464020	+	0.337130i	−0.331086	+	0.943601i	$0.607415\pi$
$182$	69.9506	+	69.9506i	0.384344	+	0.384344i
$183$	−19.8858	+	3.14960i	−0.108666	+	0.0172110i
$184$	−475.615	−	154.537i	−2.58487	−	0.839874i
$185$	43.0824	+	31.3061i	0.232878	+	0.169222i
$186$	13.7794	+	42.4085i	0.0740826	+	0.228003i
$187$	33.8294	−	17.2369i	0.180906	−	0.0921761i
$188$	255.453	+	501.354i	1.35879	+	2.66678i
$189$	−22.0034	+	7.14933i	−0.116420	+	0.0378271i
$190$	−239.444	+	329.516i	−1.26023	+	1.73429i
$191$	27.1237	−	83.4782i	0.142009	−	0.437059i	−0.854605	−	0.519278i	$-0.826201\pi$
$191$	27.1237	−	83.4782i	0.142009	−	0.437059i	0.996614	+	0.0822194i	$0.0262008\pi$
$192$	8.32775	+	52.5794i	0.0433737	+	0.273851i
$193$	−3.80466	+	3.80466i	−0.0197133	+	0.0197133i	−0.716895	−	0.697181i	$-0.754437\pi$
$193$	−3.80466	+	3.80466i	−0.0197133	+	0.0197133i	0.697181	+	0.716895i	$0.254437\pi$
$194$	104.429	−	143.735i	0.538296	−	0.740900i
$195$	21.5697	+	21.5729i	0.110614	+	0.110630i
$196$	−348.507	+	253.205i	−1.77810	+	1.29186i
$197$	161.840	+	25.6329i	0.821521	+	0.130116i	0.553025	−	0.833165i	$-0.313473\pi$
$197$	161.840	+	25.6329i	0.821521	+	0.130116i	0.268496	+	0.963281i	$0.413473\pi$
$198$	240.142	+	122.359i	1.21284	+	0.617973i
$199$		−	159.552i		−	0.801768i	−0.916129	−	0.400884i	$-0.868703\pi$
$199$		−	159.552i		−	0.801768i	0.916129	−	0.400884i	$-0.131297\pi$
$200$	−251.948	+	494.296i	−1.25974	+	2.47148i
$201$	46.8600			0.233134
$202$	18.4433	−	36.1969i	0.0913032	−	0.179193i
$203$	−11.0785	+	69.9466i	−0.0545737	+	0.344565i
$204$	14.6735	+	20.1963i	0.0719287	+	0.0990013i
$205$	−117.210	+	18.5554i	−0.571758	+	0.0905142i
$206$	−562.791	−	408.892i	−2.73200	−	1.98491i
$207$	−138.613	−	138.613i	−0.669626	−	0.669626i
$208$	473.307	−	74.9644i	2.27551	−	0.360406i
$209$	−172.162	−	55.9389i	−0.823742	−	0.267650i
$210$	19.7455	−	14.3437i	0.0940260	−	0.0683032i
$211$	−87.2728	−	268.598i	−0.413615	−	1.27298i	−0.913484	−	0.406875i	$-0.866618\pi$
$211$	−87.2728	−	268.598i	−0.413615	−	1.27298i	0.499869	−	0.866101i	$-0.333382\pi$
$212$	−282.335	+	143.857i	−1.33177	+	0.678570i
$213$	−17.5220	−	34.3888i	−0.0822628	−	0.161450i
$214$	−214.963	+	69.8457i	−1.00450	+	0.326382i
$215$	98.3372	+	31.9597i	0.457382	+	0.148650i
$216$	−66.5955	+	204.960i	−0.308312	+	0.948888i
$217$	−8.11152	−	51.2141i	−0.0373803	−	0.236010i
$218$	227.876	−	227.876i	1.04530	−	1.04530i
$219$	−12.4193	+	17.0937i	−0.0567091	+	0.0780534i
$220$	−407.427	−	64.5610i	−1.85194	−	0.293459i
$221$	41.1658	−	29.9087i	0.186271	−	0.135334i
$222$	−21.5532	−	3.41370i	−0.0970866	−	0.0153770i
$223$	3.57547	+	1.82179i	0.0160335	+	0.00816948i	0.461989	−	0.886886i	$-0.347136\pi$
$223$	3.57547	+	1.82179i	0.0160335	+	0.00816948i	−0.445955	+	0.895055i	$0.647136\pi$
$224$		−	171.884i		−	0.767341i
$225$	−175.959	+	127.802i	−0.782040	+	0.568009i
$226$	649.461			2.87372
$227$	−5.80928	+	11.4014i	−0.0255915	+	0.0502262i	−0.903448	−	0.428697i	$-0.858973\pi$
$227$	−5.80928	+	11.4014i	−0.0255915	+	0.0502262i	0.877857	+	0.478923i	$0.158973\pi$
$228$	18.6193	−	117.558i	0.0816638	−	0.515605i
$229$	−36.8546	−	50.7261i	−0.160937	−	0.221511i	0.720931	−	0.693007i	$-0.243714\pi$
$229$	−36.8546	−	50.7261i	−0.160937	−	0.221511i	−0.881868	+	0.471495i	$0.843714\pi$
$230$	374.857	+	191.034i	1.62981	+	0.830583i
$231$	8.77472	+	6.37521i	0.0379858	+	0.0275983i
$232$	466.457	+	466.457i	2.01059	+	2.01059i
$233$	208.490	−	33.0215i	0.894805	−	0.141723i	0.307938	−	0.951406i	$-0.400361\pi$
$233$	208.490	−	33.0215i	0.894805	−	0.141723i	0.586867	+	0.809683i	$0.300361\pi$
$234$	343.527	+	111.619i	1.46806	+	0.477002i
$235$	−87.4163	−	269.107i	−0.371984	−	1.14514i
$236$	31.2191	+	96.0826i	0.132284	+	0.407130i
$237$	−62.6435	+	31.9185i	−0.264319	+	0.134677i
$238$	−18.4808	−	36.2705i	−0.0776503	−	0.152397i
$239$	33.4529	−	10.8695i	0.139970	−	0.0454792i	−0.238194	−	0.971218i	$-0.576555\pi$
$239$	33.4529	−	10.8695i	0.139970	−	0.0454792i	0.378164	+	0.925738i	$0.376555\pi$
$240$	0.00873809	−	118.223i	3.64087e−5	−	0.492596i
$241$	−61.4309	+	189.065i	−0.254900	+	0.784502i	0.738949	+	0.673761i	$0.235322\pi$
$241$	−61.4309	+	189.065i	−0.254900	+	0.784502i	−0.993849	+	0.110741i	$0.964678\pi$
$242$	30.4648	+	192.347i	0.125888	+	0.794823i
$243$	−90.1078	+	90.1078i	−0.370814	+	0.370814i
$244$	214.463	−	295.182i	0.878945	−	1.20976i
$245$	193.017	−	98.3293i	0.787826	−	0.401344i
$246$	39.3392	−	28.5816i	0.159915	−	0.116185i
$247$	−239.617	−	37.9515i	−0.970108	−	0.153650i
$248$	−430.358	−	219.279i	−1.73532	−	0.884188i
$249$			38.0539i			0.152827i
$250$	274.437	−	377.553i	1.09775	−	1.51021i
$251$	−204.187			−0.813493			−0.406747	−	0.913541i	$-0.633337\pi$
$251$	−204.187			−0.813493			−0.406747	+	0.913541i	$0.633337\pi$
$252$	93.5531	−	183.608i	0.371243	−	0.728605i
$253$	−29.2498	+	184.676i	−0.115612	+	0.729945i
$254$	−397.471	−	547.072i	−1.56485	−	2.15383i
$255$	−5.69826	−	11.1855i	−0.0223461	−	0.0438648i
$256$	91.3159	+	66.3449i	0.356703	+	0.259160i
$257$	57.7613	+	57.7613i	0.224752	+	0.224752i	0.810496	−	0.585744i	$-0.199198\pi$
$257$	57.7613	+	57.7613i	0.224752	+	0.224752i	−0.585744	+	0.810496i	$0.699198\pi$
$258$	−41.8474	+	6.62798i	−0.162199	+	0.0256898i
$259$	24.1336	+	7.84148i	0.0931798	+	0.0302760i
$260$	−552.842	−	0.0408616i	−2.12632	−	0.000157160i
$261$	79.9055	+	245.924i	0.306152	+	0.942237i
$262$	419.427	−	213.709i	1.60087	−	0.815683i
$263$	−91.5287	−	179.635i	−0.348018	−	0.683024i	0.648950	−	0.760831i	$-0.275208\pi$
$263$	−91.5287	−	179.635i	−0.348018	−	0.683024i	−0.996968	+	0.0778069i	$0.975208\pi$
$264$	96.0863	−	31.2203i	0.363963	−	0.118259i
$265$	151.546	−	49.2280i	0.571873	−	0.185766i
$266$	−59.9755	+	184.586i	−0.225472	+	0.693930i
$267$	−13.7263	−	86.6646i	−0.0514094	−	0.324586i
$268$	−600.477	+	600.477i	−2.24059	+	2.24059i
$269$	−253.261	+	348.584i	−0.941492	+	1.29585i	0.0137122	+	0.999906i	$0.495635\pi$
$269$	−253.261	+	348.584i	−0.941492	+	1.29585i	−0.955204	+	0.295947i	$0.904365\pi$
$270$	82.3235	−	161.540i	0.304902	−	0.598294i
$271$	−289.289	+	210.181i	−1.06749	+	0.775576i	−0.975459	−	0.220180i	$-0.929335\pi$
$271$	−289.289	+	210.181i	−1.06749	+	0.775576i	−0.0920296	+	0.995756i	$0.529335\pi$
$272$	−194.764	−	30.8476i	−0.716045	−	0.113410i
$273$	12.9516	+	6.59915i	0.0474416	+	0.0241727i
$274$			728.460i			2.65861i
$275$	197.272	+	64.1298i	0.717353	+	0.233199i
$276$	−122.939			−0.445433
$277$	70.7297	−	138.815i	0.255342	−	0.501137i	−0.727378	−	0.686237i	$-0.759261\pi$
$277$	70.7297	−	138.815i	0.255342	−	0.501137i	0.982720	+	0.185101i	$0.0592611\pi$
$278$	−25.6012	+	161.640i	−0.0920908	+	0.581438i
$279$	−111.285	−	153.170i	−0.398871	−	0.548998i
$280$	−41.3736	+	261.098i	−0.147763	+	0.932493i
$281$	133.326	+	96.8673i	0.474471	+	0.344723i	0.799181	−	0.601090i	$-0.205267\pi$
$281$	133.326	+	96.8673i	0.474471	+	0.344723i	−0.324710	+	0.945814i	$0.605267\pi$
$282$	81.9824	+	81.9824i	0.290718	+	0.290718i
$283$	293.329	−	46.4588i	1.03650	−	0.164165i	0.385079	−	0.922883i	$-0.374174\pi$
$283$	293.329	−	46.4588i	1.03650	−	0.164165i	0.651419	+	0.758718i	$0.274174\pi$
$284$	665.199	+	216.136i	2.34225	+	0.761043i
$285$	−18.4994	+	56.9210i	−0.0649102	+	0.199723i
$286$	−106.466	−	327.668i	−0.372258	−	1.14569i
$287$	−50.3815	+	25.6707i	−0.175545	+	0.0894448i
$288$	−284.925	−	559.197i	−0.989323	−	1.94166i
$289$	254.942	−	82.8356i	0.882151	−	0.286628i
$290$	−326.177	−	449.013i	−1.12475	−	1.54832i
$291$	8.06717	−	24.8282i	0.0277222	−	0.0853203i
$292$	−59.8990	−	378.188i	−0.205134	−	1.29516i
$293$	146.534	−	146.534i	0.500115	−	0.500115i	−0.411359	−	0.911474i	$-0.634946\pi$
$293$	146.534	−	146.534i	0.500115	−	0.500115i	0.911474	+	0.411359i	$0.134946\pi$
$294$	−52.1728	+	71.8097i	−0.177459	+	0.244251i
$295$	−7.94352	−	50.1774i	−0.0269272	−	0.170093i
$296$	191.228	−	138.936i	0.646042	−	0.469377i
$297$	79.5836	+	12.6048i	0.267958	+	0.0424404i
$298$	292.044	+	148.804i	0.980012	+	0.499341i
$299$			250.586i			0.838080i
$300$	−21.3559	+	134.707i	−0.0711864	+	0.449024i
$301$	49.2688			0.163684
$302$	−108.783	+	213.498i	−0.360207	+	0.706946i
$303$	0.933810	−	5.89584i	0.00308188	−	0.0194582i
$304$	552.619	+	760.615i	1.81783	+	2.50202i
$305$	−129.746	+	129.727i	−0.425398	+	0.425335i
$306$	−120.248	−	87.3654i	−0.392968	−	0.285508i
$307$	−361.392	−	361.392i	−1.17717	−	1.17717i	−0.980461	−	0.196711i	$-0.936974\pi$
$307$	−361.392	−	361.392i	−1.17717	−	1.17717i	−0.196711	−	0.980461i	$-0.563026\pi$
$308$	−194.135	+	30.7480i	−0.630310	+	0.0998312i
$309$	−97.2145	−	31.5869i	−0.314610	−	0.102223i
$310$	328.727	+	238.871i	1.06041	+	0.770553i
$311$	123.420	+	379.847i	0.396849	+	1.22137i	0.927512	+	0.373792i	$0.121943\pi$
$311$	123.420	+	379.847i	0.396849	+	1.22137i	−0.530664	+	0.847582i	$0.678057\pi$
$312$	120.643	−	61.4706i	0.386676	−	0.197021i
$313$	−8.04395	−	15.7871i	−0.0256995	−	0.0504382i	0.877800	−	0.479028i	$-0.159011\pi$
$313$	−8.04395	−	15.7871i	−0.0256995	−	0.0504382i	−0.903499	+	0.428590i	$0.859011\pi$
$314$	−731.212	+	237.585i	−2.32870	+	0.756641i
$315$	−60.9143	+	83.8283i	−0.193379	+	0.266122i
$316$	393.719	−	1211.74i	1.24595	−	3.83463i
$317$	−36.8681	−	232.776i	−0.116303	−	0.734310i	−0.975062	−	0.221931i	$-0.928764\pi$
$317$	−36.8681	−	232.776i	−0.116303	−	0.734310i	0.858759	−	0.512379i	$-0.171236\pi$
$318$	−46.1679	+	46.1679i	−0.145182	+	0.145182i
$319$	144.973	−	199.538i	0.454460	−	0.625511i
$320$	343.007	+	343.057i	1.07190	+	1.07205i
$321$	−26.8689	+	19.5214i	−0.0837038	+	0.0608144i
$322$	198.003	+	31.3605i	0.614915	+	0.0973929i
$323$	88.9497	+	45.3222i	0.275386	+	0.140316i
$324$		−	725.478i		−	2.23913i
$325$	274.572	+	43.5295i	0.844836	+	0.133937i
$326$	−450.484			−1.38185
$327$	21.4978	−	42.1919i	0.0657427	−	0.129027i
$328$	−82.3953	+	520.223i	−0.251205	+	1.58605i
$329$	−79.2460	−	109.073i	−0.240869	−	0.331528i
$330$	−83.9522	+	13.2904i	−0.254400	+	0.0402738i
$331$	−289.169	−	210.093i	−0.873621	−	0.634723i	0.0579348	−	0.998320i	$-0.481548\pi$
$331$	−289.169	−	210.093i	−0.873621	−	0.634723i	−0.931556	+	0.363597i	$0.881548\pi$
$332$	−487.634	−	487.634i	−1.46878	−	1.46878i
$333$	91.5130	−	14.4942i	0.274814	−	0.0435262i
$334$	−849.658	−	276.071i	−2.54389	−	0.826559i
$335$	345.492	−	250.975i	1.03132	−	0.749180i
$336$	−17.4074	−	53.5745i	−0.0518078	−	0.159448i
$337$	−433.403	+	220.830i	−1.28606	+	0.655282i	−0.957291	−	0.289127i	$-0.906635\pi$
$337$	−433.403	+	220.830i	−1.28606	+	0.655282i	−0.328772	+	0.944409i	$0.606635\pi$
$338$	76.8698	+	150.865i	0.227425	+	0.446347i
$339$	90.7600	−	29.4897i	0.267728	−	0.0869903i
$340$	216.353	+	70.3152i	0.636333	+	0.206809i
$341$	−55.8050	+	171.750i	−0.163651	+	0.503666i
$342$	110.859	+	699.937i	0.324149	+	2.04660i
$343$	155.532	−	155.532i	0.453446	−	0.453446i
$344$	269.755	−	371.286i	0.784172	−	1.07932i
$345$	61.0592	+	9.67546i	0.176983	+	0.0280448i
$346$	731.550	−	531.502i	2.11431	−	1.53613i
$347$	260.500	+	41.2592i	0.750721	+	0.118903i	0.520058	−	0.854131i	$-0.325910\pi$
$347$	260.500	+	41.2592i	0.750721	+	0.118903i	0.230663	+	0.973034i	$0.425910\pi$
$348$	144.494	+	73.6232i	0.415212	+	0.211561i
$349$		−	25.6586i		−	0.0735204i	−0.999324	−	0.0367602i	$-0.988296\pi$
$349$		−	25.6586i		−	0.0735204i	0.999324	−	0.0367602i	$-0.0117038\pi$
$350$	68.7575	−	211.507i	0.196450	−	0.604307i
$351$	107.987			0.307654
$352$	−271.771	+	533.381i	−0.772078	+	1.51529i
$353$	31.4611	−	198.638i	0.0891250	−	0.562713i	−0.902204	−	0.431310i	$-0.858052\pi$
$353$	31.4611	−	198.638i	0.0891250	−	0.562713i	0.991329	−	0.131403i	$-0.0419483\pi$
$354$	12.2357	+	16.8410i	0.0345641	+	0.0475734i
$355$	−313.368	−	159.698i	−0.882727	−	0.449854i
$356$	1286.44	+	934.651i	3.61359	+	2.62542i
$357$	−4.22954	−	4.22954i	−0.0118475	−	0.0118475i
$358$	−1086.06	+	172.015i	−3.03370	+	0.480490i
$359$	81.9822	+	26.6376i	0.228363	+	0.0741995i	0.420963	−	0.907078i	$-0.361692\pi$
$359$	81.9822	+	26.6376i	0.228363	+	0.0741995i	−0.192601	+	0.981277i	$0.561692\pi$
$360$	298.208	+	918.021i	0.828356	+	2.55006i
$361$	−35.5285	−	109.345i	−0.0984169	−	0.302896i
$362$	−345.398	+	175.989i	−0.954137	+	0.486157i
$363$	12.9912	+	25.4966i	0.0357883	+	0.0702385i
$364$	−250.528	+	81.4016i	−0.688265	+	0.223631i
$365$	−0.0142314	+	192.545i	−3.89900e−5	+	0.527521i
$366$	23.2320	−	71.5008i	0.0634754	−	0.195357i
$367$	66.9224	+	422.532i	0.182350	+	1.15131i	0.893763	+	0.448539i	$0.148055\pi$
$367$	66.9224	+	422.532i	0.182350	+	1.15131i	−0.711413	+	0.702774i	$0.751945\pi$
$368$	686.676	−	686.676i	1.86597	−	1.86597i
$369$	−121.355	+	167.030i	−0.328874	+	0.452657i
$370$	−177.192	+	90.2673i	−0.478897	+	0.243966i
$371$	61.4237	−	44.6269i	0.165563	−	0.120288i
$372$	−117.277	−	18.5748i	−0.315259	−	0.0499322i
$373$	−54.9723	−	28.0098i	−0.147379	−	0.0750932i	0.378746	−	0.925501i	$-0.376355\pi$
$373$	−54.9723	−	28.0098i	−0.147379	−	0.0750932i	−0.526125	+	0.850407i	$0.676355\pi$
$374$			141.773i			0.379073i
$375$	21.2082	−	65.2230i	0.0565553	−	0.173928i
$376$	−1255.85			−3.34003
$377$	150.065	−	294.520i	0.398051	−	0.781220i
$378$	13.5144	−	85.3264i	0.0357523	−	0.225731i
$379$	−47.0391	−	64.7438i	−0.124114	−	0.170828i	0.742439	−	0.669914i	$-0.233669\pi$
$379$	−47.0391	−	64.7438i	−0.124114	−	0.170828i	−0.866552	+	0.499086i	$0.833669\pi$
$380$	−492.345	−	966.458i	−1.29565	−	2.54331i
$381$	−80.3858	−	58.4037i	−0.210986	−	0.153291i
$382$	231.757	+	231.757i	0.606693	+	0.606693i
$383$	−91.4511	+	14.4844i	−0.238776	+	0.0378184i	−0.274675	−	0.961537i	$-0.588570\pi$
$383$	−91.4511	+	14.4844i	−0.238776	+	0.0378184i	0.0358996	+	0.999355i	$0.488570\pi$
$384$	−38.4616	−	12.4969i	−0.100160	−	0.0325441i
$385$	98.8393	+	0.00730540i	0.256726	+	1.89751e-5i
$386$	−6.20861	−	19.1081i	−0.0160845	−	0.0495029i
$387$	160.288	−	81.6706i	0.414180	−	0.211035i
$388$	214.780	+	421.530i	0.553558	+	1.08642i
$389$	640.573	−	208.135i	1.64672	−	0.535051i	0.668693	−	0.743539i	$-0.266854\pi$
$389$	640.573	−	208.135i	1.64672	−	0.535051i	0.978025	+	0.208488i	$0.0668542\pi$
$390$	−108.340	+	35.1930i	−0.277795	+	0.0902385i
$391$	31.8644	−	98.0685i	0.0814946	−	0.250815i
$392$	−150.404	−	949.616i	−0.383685	−	2.42249i
$393$	48.9098	−	48.9098i	0.124452	−	0.124452i
$394$	−359.637	+	494.998i	−0.912785	+	1.25634i
$395$	−290.910	+	570.839i	−0.736482	+	1.44516i
$396$	−580.617	+	421.843i	−1.46621	+	1.06526i
$397$	−85.4119	−	13.5279i	−0.215143	−	0.0340754i	0.0479322	−	0.998851i	$-0.484737\pi$
$397$	−85.4119	−	13.5279i	−0.215143	−	0.0340754i	−0.263076	+	0.964775i	$0.584737\pi$
$398$	530.840	+	270.476i	1.33377	+	0.679589i
$399$			28.5185i			0.0714749i
$400$	−633.121	−	871.687i	−1.58280	−	2.17922i
$401$	−384.173			−0.958038			−0.479019	−	0.877805i	$-0.659008\pi$
$401$	−384.173			−0.958038			−0.479019	+	0.877805i	$0.659008\pi$
$402$	−79.4383	+	155.906i	−0.197608	+	0.387827i
$403$	−37.8607	+	239.043i	−0.0939472	+	0.593159i
$404$	63.5848	+	87.5170i	0.157388	+	0.216626i
$405$	−57.0958	+	360.316i	−0.140977	+	0.889670i
$406$	−213.937	−	155.434i	−0.526938	−	0.382843i
$407$	−62.4915	−	62.4915i	−0.153542	−	0.153542i
$408$	−55.0310	+	8.71606i	−0.134880	+	0.0213629i
$409$	255.284	+	82.9467i	0.624165	+	0.202804i	0.603989	−	0.796993i	$-0.293577\pi$
$409$	255.284	+	82.9467i	0.624165	+	0.202804i	0.0201766	+	0.999796i	$0.493577\pi$
$410$	136.963	−	421.422i	0.334056	−	1.02786i
$411$	33.0768	+	101.800i	0.0804787	+	0.247688i
$412$	1650.50	−	840.970i	4.00606	−	2.04119i
$413$	−10.9895	−	21.5682i	−0.0266091	−	0.0522232i
$414$	696.153	−	226.194i	1.68153	−	0.546362i
$415$	203.811	+	280.566i	0.491112	+	0.676062i
$416$	−247.916	+	763.008i	−0.595953	+	1.83415i
$417$	3.76180	+	23.7511i	0.00902111	+	0.0569571i
$418$	477.966	−	477.966i	1.14346	−	1.14346i
$419$	−287.872	+	396.221i	−0.687044	+	0.945635i	−0.999991	−	0.00413512i	$-0.998684\pi$
$419$	−287.872	+	396.221i	−0.687044	+	0.945635i	0.312947	+	0.949771i	$0.398684\pi$
$420$	10.1616	+	64.1882i	0.0241942	+	0.152829i
$421$	−13.3217	+	9.67877i	−0.0316430	+	0.0229900i	−0.603494	−	0.797367i	$-0.706225\pi$
$421$	−13.3217	+	9.67877i	−0.0316430	+	0.0229900i	0.571851	+	0.820357i	$0.306225\pi$
$422$	1041.59	+	164.972i	2.46822	+	0.390928i
$423$	−438.618	−	223.487i	−1.03692	−	0.528339i
$424$		−	707.225i		−	1.66798i
$425$	−101.920	−	51.9500i	−0.239813	−	0.122235i
$426$	144.118			0.338304
$427$	−39.6894	+	77.8947i	−0.0929493	+	0.182423i
$428$	94.1530	−	594.458i	0.219984	−	1.38892i
$429$	−29.7564	−	40.9562i	−0.0693623	−	0.0954690i
$430$	−273.036	+	272.996i	−0.634968	+	0.634874i
$431$	308.033	+	223.799i	0.714694	+	0.519256i	0.884685	−	0.466190i	$-0.154374\pi$
$431$	308.033	+	223.799i	0.714694	+	0.519256i	−0.169991	+	0.985446i	$0.554374\pi$
$432$	−295.914	−	295.914i	−0.684985	−	0.684985i
$433$	−384.894	+	60.9613i	−0.888901	+	0.140788i	−0.584152	−	0.811644i	$-0.698573\pi$
$433$	−384.894	+	60.9613i	−0.888901	+	0.140788i	−0.304749	+	0.952433i	$0.598573\pi$
$434$	184.144	+	59.8319i	0.424294	+	0.137862i
$435$	−65.9702	−	47.9376i	−0.151656	−	0.110201i
$436$	265.179	+	816.138i	0.608210	+	1.87188i
$437$	−438.049	+	223.197i	−1.00240	+	0.510748i
$438$	−35.8184	−	70.2975i	−0.0817771	−	0.160497i
$439$	515.743	−	167.575i	1.17481	−	0.381720i	0.344376	−	0.938832i	$-0.388091\pi$
$439$	515.743	−	167.575i	1.17481	−	0.381720i	0.830437	+	0.557112i	$0.188091\pi$
$440$	541.218	−	744.807i	1.23004	−	1.69274i
$441$	116.460	−	358.428i	0.264083	−	0.812763i
$442$	29.7230	+	187.663i	0.0672465	+	0.424578i
$443$	−171.113	+	171.113i	−0.386259	+	0.386259i	−0.873351	−	0.487092i	$-0.838058\pi$
$443$	−171.113	+	171.113i	−0.386259	+	0.386259i	0.487092	+	0.873351i	$0.338058\pi$
$444$	34.1551	−	47.0104i	0.0769259	−	0.105879i
$445$	−565.365	−	565.448i	−1.27048	−	1.27067i
$446$	−12.1225	+	8.80749i	−0.0271804	+	0.0197477i
$447$	47.5688	+	7.53415i	0.106418	+	0.0168549i
$448$	205.959	+	104.941i	0.459729	+	0.234244i
$449$		−	38.7767i		−	0.0863624i	−0.999067	−	0.0431812i	$-0.986251\pi$
$449$		−	38.7767i		−	0.0863624i	0.999067	−	0.0431812i	$-0.0137493\pi$
$450$	−126.916	−	802.080i	−0.282035	−	1.78240i
$451$	196.930			0.436651
$452$	−785.134	+	1540.91i	−1.73702	+	3.40910i
$453$	−5.50782	+	34.7750i	−0.0121585	+	0.0767661i
$454$	−28.0850	−	38.6557i	−0.0618613	−	0.0851448i
$455$	130.834	−	20.7122i	0.287547	−	0.0455212i
$456$	214.913	+	156.144i	0.471301	+	0.342420i
$457$	277.465	+	277.465i	0.607145	+	0.607145i	0.942199	−	0.335054i	$-0.108754\pi$
$457$	277.465	+	277.465i	0.607145	+	0.607145i	−0.335054	+	0.942199i	$0.608754\pi$
$458$	231.246	−	36.6258i	0.504904	−	0.0799689i
$459$	−42.2613	−	13.7315i	−0.0920725	−	0.0299162i
$460$	−906.414	+	658.446i	−1.97046	+	1.43140i
$461$	−220.813	−	679.591i	−0.478986	−	1.47417i	−0.840506	−	0.541803i	$-0.817742\pi$
$461$	−220.813	−	679.591i	−0.478986	−	1.47417i	0.361520	−	0.932364i	$-0.382258\pi$
$462$	−36.0859	+	18.3867i	−0.0781080	+	0.0397980i
$463$	−264.242	−	518.605i	−0.570718	−	1.12010i	−0.978351	−	0.206951i	$-0.933646\pi$
$463$	−264.242	−	518.605i	−0.570718	−	1.12010i	0.407634	−	0.913146i	$-0.366354\pi$
$464$	−1218.29	+	395.846i	−2.62562	+	0.853117i
$465$	56.7848	+	18.4551i	0.122118	+	0.0396885i
$466$	−243.572	+	749.638i	−0.522687	+	1.60866i
$467$	41.9229	+	264.691i	0.0897708	+	0.566790i	0.991044	+	0.133538i	$0.0426340\pi$
$467$	41.9229	+	264.691i	0.0897708	+	0.566790i	−0.901273	+	0.433252i	$0.857366\pi$
$468$	−680.116	+	680.116i	−1.45324	+	1.45324i
$469$	119.598	−	164.613i	0.255007	−	0.350987i
$470$	1043.53	+	165.358i	2.22027	+	0.351825i
$471$	−91.3965	+	66.4035i	−0.194048	+	0.140984i
$472$	−222.706	−	35.2732i	−0.471835	−	0.0747314i
$473$	−152.888	−	77.9003i	−0.323230	−	0.164694i
$474$		−	262.528i		−	0.553857i
$475$	168.467	+	518.750i	0.354668	+	1.09211i
$476$	108.397			0.227725
$477$	125.856	−	247.006i	0.263848	−	0.517831i
$478$	−20.5467	+	129.727i	−0.0429846	+	0.271394i
$479$	−420.995	−	579.450i	−0.878904	−	1.20971i	−0.976723	−	0.214504i	$-0.931187\pi$
$479$	−420.995	−	579.450i	−0.878904	−	1.20971i	0.0978188	−	0.995204i	$-0.468813\pi$
$480$	176.347	+	89.8695i	0.367389	+	0.187228i
$481$	−95.8208	−	69.6179i	−0.199212	−	0.144736i
$482$	−524.893	−	524.893i	−1.08899	−	1.08899i
$483$	29.0942	−	4.60806i	0.0602364	−	0.00954050i
$484$	−493.192	−	160.248i	−1.01899	−	0.331091i
$485$	−73.4982	−	226.261i	−0.151543	−	0.466518i
$486$	−147.042	−	452.548i	−0.302555	−	0.931168i
$487$	283.438	−	144.419i	0.582009	−	0.296548i	−0.138090	−	0.990420i	$-0.544096\pi$
$487$	283.438	−	144.419i	0.582009	−	0.296548i	0.720099	+	0.693871i	$0.244096\pi$
$488$	369.703	+	725.584i	0.757589	+	1.48685i
$489$	−62.9537	+	20.4549i	−0.128740	+	0.0418300i
$490$	−0.0597853	+	808.872i	−0.000122011	+	1.65076i
$491$	83.8965	−	258.207i	0.170869	−	0.525880i	−0.828552	−	0.559912i	$-0.810835\pi$
$491$	83.8965	−	258.207i	0.170869	−	0.525880i	0.999421	+	0.0340324i	$0.0108349\pi$
$492$	20.2555	+	127.888i	0.0411698	+	0.259936i
$493$	−96.1801	+	96.1801i	−0.195092	+	0.195092i
$494$	532.472	−	732.884i	1.07788	−	1.48357i
$495$	321.569	−	163.818i	0.649635	−	0.330945i
$496$	758.795	−	551.297i	1.52983	−	1.11149i
$497$	−165.524	−	26.2164i	−0.333045	−	0.0527492i
$498$	−126.608	−	64.5100i	−0.254233	−	0.129538i
$499$			497.689i			0.997373i	0.866782	+	0.498686i	$0.166184\pi$
$499$			497.689i			0.997373i	−0.866782	+	0.498686i	$0.833816\pi$
$500$	564.018	+	1107.55i	1.12804	+	2.21511i
$501$	−131.272			−0.262020
$502$	346.143	−	679.343i	0.689527	−	1.35327i
$503$	41.0013	−	258.872i	0.0815135	−	0.514656i	−0.912821	−	0.408360i	$-0.866101\pi$
$503$	41.0013	−	258.872i	0.0815135	−	0.514656i	0.994335	−	0.106296i	$-0.0338992\pi$
$504$	270.336	+	372.086i	0.536381	+	0.738266i
$505$	−24.6924	−	48.4705i	−0.0488959	−	0.0959811i
$506$	−564.845	−	410.384i	−1.11629	−	0.811035i
$507$	17.5926	+	17.5926i	0.0346993	+	0.0346993i
$508$	1778.49	−	281.685i	3.50096	−	0.554497i
$509$	106.178	+	34.4992i	0.208601	+	0.0677785i	0.411453	−	0.911431i	$-0.365021\pi$
$509$	106.178	+	34.4992i	0.208601	+	0.0677785i	−0.202853	+	0.979209i	$0.565021\pi$
$510$	46.8748	+	0.00346461i	0.0919114	+	6.79334e-6i
$511$	28.3507	+	87.2546i	0.0554809	+	0.170753i
$512$	−638.227	+	325.193i	−1.24654	+	0.635142i
$513$	96.1836	+	188.771i	0.187492	+	0.367975i
$514$	−290.094	+	94.2572i	−0.564385	+	0.183380i
$515$	−885.922	+	287.781i	−1.72024	+	0.558798i
$516$	34.8638	−	107.300i	0.0675656	−	0.207945i
$517$	73.4534	+	463.766i	0.142076	+	0.897033i
$518$	−67.0010	+	67.0010i	−0.129346	+	0.129346i
$519$	78.0981	−	107.493i	0.150478	−	0.207115i
$520$	560.254	−	1099.36i	1.07741	−	2.11415i
$521$	499.158	−	362.659i	0.958076	−	0.696083i	0.00537313	−	0.999986i	$-0.498290\pi$
$521$	499.158	−	362.659i	0.958076	−	0.696083i	0.952703	+	0.303902i	$0.0982897\pi$
$522$	−953.664	−	151.045i	−1.82694	−	0.289359i
$523$	864.577	+	440.524i	1.65311	+	0.842302i	0.996082	+	0.0884372i	$0.0281873\pi$
$523$	864.577	+	440.524i	1.65311	+	0.842302i	0.657029	+	0.753865i	$0.271813\pi$
$524$			1253.49i			2.39215i
$525$	0.00483081	−	32.6795i	9.20154e−6	−	0.0622467i
$526$	752.821			1.43122
$527$	45.2137	−	88.7369i	0.0857945	−	0.168381i
$528$	−30.6906	+	193.773i	−0.0581261	+	0.366994i
$529$	−12.4553	−	17.1433i	−0.0235450	−	0.0324070i
$530$	−93.1204	+	587.658i	−0.175699	+	1.10879i
$531$	−71.5053	−	51.9516i	−0.134662	−	0.0978374i
$532$	−365.444	−	365.444i	−0.686924	−	0.686924i
$533$	260.673	−	41.2866i	0.489068	−	0.0774608i
$534$	311.608	+	101.248i	0.583536	+	0.189602i
$535$	−93.5466	+	287.834i	−0.174853	+	0.538008i
$536$	−585.690	−	1802.57i	−1.09271	−	3.36300i
$537$	−143.963	+	73.3528i	−0.268088	+	0.136597i
$538$	−730.429	−	1433.55i	−1.35767	−	2.66459i
$539$	−341.881	+	111.084i	−0.634288	+	0.206093i
$540$	283.748	+	390.606i	0.525459	+	0.723345i
$541$	−167.902	+	516.748i	−0.310354	+	0.955171i	0.667271	+	0.744815i	$0.267462\pi$
$541$	−167.902	+	516.748i	−0.310354	+	0.955171i	−0.977625	+	0.210356i	$0.932538\pi$
$542$	−208.876	−	1318.79i	−0.385380	−	2.43319i
$543$	−40.2771	+	40.2771i	−0.0741752	+	0.0741752i
$544$	194.048	−	267.084i	0.356705	−	0.490963i
$545$	−67.4733	−	426.214i	−0.123804	−	0.782044i
$546$	−43.9117	+	31.9037i	−0.0804243	+	0.0584317i
$547$	845.458	+	133.907i	1.54563	+	0.244803i	0.870228	−	0.492650i	$-0.163972\pi$
$547$	845.458	+	133.907i	1.54563	+	0.244803i	0.675399	+	0.737453i	$0.263972\pi$
$548$	−1728.35	−	880.636i	−3.15391	−	1.60700i
$549$			319.209i			0.581437i
$550$	−547.785	+	547.623i	−0.995973	+	0.995679i
$551$	648.513			1.17697
$552$	124.570	−	244.482i	0.225670	−	0.442902i
$553$	−47.7564	+	301.522i	−0.0863587	+	0.545247i
$554$	341.944	+	470.645i	0.617227	+	0.849540i
$555$	−20.6633	+	20.6602i	−0.0372311	+	0.0372256i
$556$	−352.558	−	256.148i	−0.634097	−	0.460698i
$557$	−133.482	−	133.482i	−0.239644	−	0.239644i	0.577059	−	0.816703i	$-0.304200\pi$
$557$	−133.482	−	133.482i	−0.239644	−	0.239644i	−0.816703	+	0.577059i	$0.804200\pi$
$558$	698.262	−	110.594i	1.25136	−	0.198197i
$559$	−218.708	−	71.0625i	−0.391249	−	0.127124i
$560$	−415.279	−	301.765i	−0.741570	−	0.538866i
$561$	6.43741	+	19.8123i	0.0114749	+	0.0353161i
$562$	−548.302	+	279.374i	−0.975627	+	0.497107i
$563$	271.527	+	532.901i	0.482285	+	0.946539i	0.996066	+	0.0886168i	$0.0282446\pi$
$563$	271.527	+	532.901i	0.482285	+	0.946539i	−0.513780	+	0.857922i	$0.671755\pi$
$564$	−293.620	+	95.4030i	−0.520603	+	0.169154i
$565$	511.217	−	703.520i	0.904808	−	1.24517i
$566$	−342.688	+	1054.68i	−0.605455	+	1.86340i
$567$	27.1926	+	171.687i	0.0479588	+	0.302800i
$568$	−1103.84	+	1103.84i	−1.94337	+	1.94337i
$569$	85.9967	−	118.364i	0.151137	−	0.208022i	−0.726735	−	0.686918i	$-0.758963\pi$
$569$	85.9967	−	118.364i	0.151137	−	0.208022i	0.877871	+	0.478897i	$0.158963\pi$
$570$	−158.019	−	158.043i	−0.277227	−	0.277268i
$571$	−430.907	+	313.072i	−0.754654	+	0.548288i	−0.897266	−	0.441491i	$-0.854450\pi$
$571$	−430.907	+	313.072i	−0.754654	+	0.548288i	0.142612	+	0.989779i	$0.454450\pi$
$572$	906.131	+	143.517i	1.58415	+	0.250904i
$573$	42.9105	+	21.8640i	0.0748874	+	0.0381571i
$574$		−	211.140i		−	0.367840i
$575$	502.000	−	255.689i	0.873044	−	0.444676i
$576$	844.008			1.46529
$577$	−169.121	+	331.918i	−0.293104	+	0.575249i	−0.989858	−	0.142061i	$-0.954627\pi$
$577$	−169.121	+	331.918i	−0.293104	+	0.575249i	0.696754	+	0.717310i	$0.254627\pi$
$578$	−156.584	+	988.633i	−0.270907	+	1.71044i
$579$	−1.73526	−	2.38839i	−0.00299700	−	0.00412502i
$580$	1459.65	−	231.075i	2.51663	−	0.398404i
$581$	133.678	+	97.1230i	0.230083	+	0.167165i
$582$	68.9294	+	68.9294i	0.118435	+	0.118435i
$583$	−261.167	+	41.3649i	−0.447972	+	0.0709517i
$584$	812.770	+	264.085i	1.39173	+	0.452200i
$585$	391.313	−	284.261i	0.668911	−	0.485917i
$586$	239.120	+	735.935i	0.408054	+	1.25586i
$587$	704.478	−	358.949i	1.20013	−	0.611498i	0.264470	−	0.964394i	$-0.414803\pi$
$587$	704.478	−	358.949i	1.20013	−	0.611498i	0.935663	+	0.352896i	$0.114803\pi$
$588$	−107.304	−	210.596i	−0.182490	−	0.358157i
$589$	−451.594	+	146.732i	−0.766712	+	0.249120i
$590$	180.410	+	58.6334i	0.305779	+	0.0993787i
$591$	−27.7820	+	85.5042i	−0.0470084	+	0.144677i
$592$	71.8034	+	453.349i	0.121289	+	0.765792i
$593$	−504.486	+	504.486i	−0.850735	+	0.850735i	−0.990224	−	0.139488i	$-0.955454\pi$
$593$	−504.486	+	504.486i	−0.850735	+	0.850735i	0.139488	+	0.990224i	$0.455454\pi$
$594$	−176.849	+	243.412i	−0.297726	+	0.409785i
$595$	−53.8365	−	8.53095i	−0.0904816	−	0.0143377i
$596$	−706.104	+	513.015i	−1.18474	+	0.860763i
$597$	86.4645	+	13.6946i	0.144832	+	0.0229391i
$598$	−833.716	−	424.800i	−1.39417	−	0.710367i
$599$		−	532.508i		−	0.888994i	−0.895780	−	0.444497i	$-0.853382\pi$
$599$		−	532.508i		−	0.888994i	0.895780	−	0.444497i	$-0.146618\pi$
$600$	−246.244	−	178.962i	−0.410407	−	0.298271i
$601$	177.944			0.296079			0.148040	−	0.988981i	$-0.452704\pi$
$601$	177.944			0.296079			0.148040	+	0.988981i	$0.452704\pi$
$602$	−83.5217	+	163.921i	−0.138740	+	0.272293i
$603$	116.221	−	733.793i	0.192739	−	1.21690i
$604$	−375.038	−	516.196i	−0.620924	−	0.854628i
$605$	232.338	+	118.404i	0.384029	+	0.195708i
$606$	18.0328	+	13.1016i	0.0297572	+	0.0216199i
$607$	−306.085	−	306.085i	−0.504259	−	0.504259i	0.408500	−	0.912758i	$-0.366052\pi$
$607$	−306.085	−	306.085i	−0.504259	−	0.504259i	−0.912758	+	0.408500i	$0.866052\pi$
$608$	−1554.63	+	246.230i	−2.55696	+	0.404983i
$609$	−36.9547	−	12.0073i	−0.0606809	−	0.0197164i
$610$	−211.662	−	651.591i	−0.346986	−	1.06818i
$611$	194.459	+	598.482i	0.318263	+	0.979513i
$612$	352.651	−	179.685i	0.576228	−	0.293603i
$613$	260.927	+	512.098i	0.425656	+	0.835396i	0.999861	+	0.0166849i	$0.00531120\pi$
$613$	260.927	+	512.098i	0.425656	+	0.835396i	−0.574205	+	0.818711i	$0.694689\pi$
$614$	1815.02	−	589.735i	2.95605	−	0.960480i
$615$	0.00481250	−	65.1113i	7.82521e−6	−	0.105872i
$616$	135.563	−	417.220i	0.220070	−	0.677305i
$617$	−98.4146	−	621.365i	−0.159505	−	1.00708i	−0.929446	−	0.368959i	$-0.879714\pi$
$617$	−98.4146	−	621.365i	−0.159505	−	1.00708i	0.769941	−	0.638116i	$-0.220286\pi$
$618$	269.892	−	269.892i	0.436719	−	0.436719i
$619$	−511.198	+	703.604i	−0.825846	+	1.13668i	0.162836	+	0.986653i	$0.447936\pi$
$619$	−511.198	+	703.604i	−0.825846	+	1.13668i	−0.988682	+	0.150026i	$0.952064\pi$
$620$	−964.145	+	491.167i	−1.55507	+	0.792205i
$621$	177.040	−	128.627i	0.285089	−	0.207129i
$622$	−1473.00	−	233.301i	−2.36817	−	0.375082i
$623$	−339.474	−	172.971i	−0.544902	−	0.277641i
$624$			262.929i			0.421360i
$625$	−192.960	−	594.467i	−0.308736	−	0.951148i
$626$	66.1612			0.105689
$627$	45.0914	−	88.4969i	0.0719161	−	0.141143i
$628$	320.268	−	2022.09i	0.509981	−	3.21989i
$629$	28.6475	+	39.4300i	0.0455446	+	0.0626868i
$630$	−175.639	−	344.774i	−0.278792	−	0.547260i
$631$	−198.999	−	144.581i	−0.315370	−	0.229130i	0.418827	−	0.908066i	$-0.362441\pi$
$631$	−198.999	−	144.581i	−0.315370	−	0.229130i	−0.734197	+	0.678936i	$0.762441\pi$
$632$	2010.77	+	2010.77i	3.18161	+	3.18161i
$633$	153.050	−	24.2407i	0.241784	−	0.0382949i
$634$	836.962	+	271.946i	1.32013	+	0.428936i
$635$	−905.474	−	0.0669253i	−1.42594	−	0.000105394i
$636$	−53.7257	−	165.351i	−0.0844743	−	0.259985i
$637$	−429.256	+	218.717i	−0.673871	+	0.343354i
$638$	418.115	+	820.596i	0.655352	+	1.28620i
$639$	−581.961	+	189.091i	−0.910737	+	0.295916i
$640$	−350.503	+	113.857i	−0.547661	+	0.177901i
$641$	−92.3746	+	284.300i	−0.144110	+	0.443525i	−0.996895	−	0.0787362i	$-0.974912\pi$
$641$	−92.3746	+	284.300i	−0.144110	+	0.443525i	0.852785	+	0.522262i	$0.174912\pi$
$642$	−19.4002	−	122.488i	−0.0302183	−	0.190791i
$643$	463.306	−	463.306i	0.720539	−	0.720539i	−0.248176	−	0.968715i	$-0.579831\pi$
$643$	463.306	−	463.306i	0.720539	−	0.720539i	0.968715	+	0.248176i	$0.0798312\pi$
$644$	−313.772	+	431.870i	−0.487223	+	0.670605i
$645$	−25.7601	+	50.5478i	−0.0399382	+	0.0783687i
$646$	−301.580	+	219.111i	−0.466842	+	0.339180i
$647$	−735.964	−	116.565i	−1.13750	−	0.180163i	−0.440856	−	0.897578i	$-0.645325\pi$
$647$	−735.964	−	116.565i	−1.13750	−	0.180163i	−0.696646	+	0.717415i	$0.745325\pi$
$648$	1442.71	+	735.097i	2.22640	+	1.13441i
$649$			84.3051i			0.129900i
$650$	−610.287	+	839.726i	−0.938903	+	1.29189i
$651$	28.4502			0.0437023
$652$	544.591	−	1068.82i	0.835263	−	1.63930i
$653$	−56.4023	+	356.110i	−0.0863741	+	0.545345i	0.906117	+	0.423027i	$0.139033\pi$
$653$	−56.4023	+	356.110i	−0.0863741	+	0.545345i	−0.992491	+	0.122317i	$0.960967\pi$
$654$	103.932	+	143.050i	0.158917	+	0.218730i
$655$	98.6507	−	622.558i	0.150612	−	0.950471i
$656$	−827.456	−	601.182i	−1.26137	−	0.916436i
$657$	236.872	+	236.872i	0.360536	+	0.360536i
$658$	497.232	−	78.7538i	0.755672	−	0.119687i
$659$	−788.607	−	256.234i	−1.19667	−	0.388822i	−0.358137	−	0.933669i	$-0.616588\pi$
$659$	−788.607	−	256.234i	−1.19667	−	0.388822i	−0.838536	+	0.544847i	$0.816588\pi$
$660$	69.9572	−	215.252i	0.105996	−	0.326139i
$661$	−305.681	−	940.790i	−0.462453	−	1.42328i	−0.862158	−	0.506640i	$-0.830887\pi$
$661$	−305.681	−	940.790i	−0.462453	−	1.42328i	0.399705	−	0.916644i	$-0.369113\pi$
$662$	1189.20	−	605.928i	1.79638	−	0.915299i
$663$	12.6748	+	24.8757i	0.0191174	+	0.0375199i
$664$	1463.83	−	475.626i	2.20456	−	0.716304i
$665$	152.741	+	210.262i	0.229685	+	0.316184i
$666$	−106.912	+	329.041i	−0.160528	+	0.494056i
$667$	−104.788	−	661.604i	−0.157103	−	0.991910i
$668$	1682.16	−	1682.16i	2.51820	−	2.51820i
$669$	−1.29416	+	1.78126i	−0.00193447	+	0.00266256i
$670$	249.326	+	1574.93i	0.372128	+	2.35065i
$671$	246.323	−	178.964i	0.367099	−	0.266713i
$672$	93.1477	+	14.7531i	0.138613	+	0.0219541i
$673$	808.968	+	412.190i	1.20203	+	0.612467i	0.936171	−	0.351545i	$-0.114343\pi$
$673$	808.968	+	412.190i	1.20203	+	0.612467i	0.265862	+	0.964011i	$0.414343\pi$
$674$		−	1816.32i		−	2.69484i
$675$	−110.185	−	216.330i	−0.163238	−	0.320489i
$676$	−450.872			−0.666970
$677$	118.727	−	233.015i	0.175373	−	0.344188i	−0.786543	−	0.617536i	$-0.788131\pi$
$677$	118.727	−	233.015i	0.175373	−	0.344188i	0.961915	+	0.273348i	$0.0881310\pi$
$678$	−55.7444	+	351.956i	−0.0822189	+	0.519110i
$679$	−66.6287	−	91.7065i	−0.0981277	−	0.135061i
$680$	−359.053	+	359.000i	−0.528020	+	0.527942i
$681$	−5.68001	−	4.12677i	−0.00834069	−	0.00605986i
$682$	−476.822	−	476.822i	−0.699153	−	0.699153i
$683$	−612.751	+	97.0503i	−0.897147	+	0.142094i	−0.587944	−	0.808902i	$-0.700062\pi$
$683$	−612.751	+	97.0503i	−0.897147	+	0.142094i	−0.309203	+	0.950996i	$0.600062\pi$
$684$	−1794.69	−	583.130i	−2.62381	−	0.852529i
$685$	789.094	+	573.400i	1.15196	+	0.837080i
$686$	253.803	+	781.127i	0.369976	+	1.13867i
$687$	30.6528	−	15.6184i	0.0446184	−	0.0227342i
$688$	404.590	+	794.053i	0.588067	+	1.15415i
$689$	−337.032	+	109.508i	−0.489161	+	0.158938i
$690$	−135.700	+	186.746i	−0.196667	+	0.270646i
$691$	61.9168	−	190.560i	0.0896046	−	0.275774i	−0.896205	−	0.443639i	$-0.853687\pi$
$691$	61.9168	−	190.560i	0.0896046	−	0.275774i	0.985810	+	0.167865i	$0.0536872\pi$
$692$	376.672	+	2378.21i	0.544323	+	3.43672i
$693$	121.594	−	121.594i	0.175460	−	0.175460i
$694$	−578.879	+	796.758i	−0.834119	+	1.14807i
$695$	154.943	+	154.965i	0.222939	+	0.222972i
$696$	−292.819	+	212.746i	−0.420718	+	0.305669i
$697$	−107.266	−	16.9893i	−0.153897	−	0.0243749i
$698$	85.3679	+	43.4971i	0.122304	+	0.0623168i
$699$			115.819i			0.165693i
$700$	418.702	+	418.826i	0.598146	+	0.598323i
$701$	−481.102			−0.686308			−0.343154	−	0.939279i	$-0.611495\pi$
$701$	−481.102			−0.686308			−0.343154	+	0.939279i	$0.611495\pi$
$702$	−183.062	+	359.278i	−0.260771	+	0.511793i
$703$	36.3512	−	229.513i	0.0517087	−	0.326476i
$704$	−473.193	−	651.295i	−0.672150	−	0.925134i
$705$	153.338	−	24.2747i	0.217501	−	0.0344322i
$706$	607.547	+	441.409i	0.860548	+	0.625225i
$707$	−18.3280	−	18.3280i	−0.0259236	−	0.0259236i
$708$	−54.7487	+	8.67135i	−0.0773287	+	0.0122477i
$709$	649.963	+	211.186i	0.916733	+	0.297865i	0.729126	−	0.684380i	$-0.239927\pi$
$709$	649.963	+	211.186i	0.916733	+	0.297865i	0.187607	+	0.982244i	$0.439927\pi$
$710$	1062.56	−	771.873i	1.49656	−	1.08714i
$711$	344.452	+	1060.11i	0.484461	+	1.49102i
$712$	−3162.17	+	1611.21i	−4.44126	+	2.26293i
$713$	222.663	+	437.000i	0.312290	+	0.612904i
$714$	21.2420	−	6.90194i	0.0297507	−	0.00966659i
$715$	−438.745	−	142.593i	−0.613629	−	0.199430i
$716$	904.819	−	2784.75i	1.26371	−	3.88931i
$717$	3.01909	+	19.0618i	0.00421073	+	0.0265855i
$718$	−227.604	+	227.604i	−0.316997	+	0.316997i
$719$	753.400	−	1036.97i	1.04784	−	1.44223i	0.157182	−	0.987570i	$-0.449759\pi$
$719$	753.400	−	1036.97i	1.04784	−	1.44223i	0.890663	−	0.454664i	$-0.150241\pi$
$720$	−1851.26	−	293.352i	−2.57120	−	0.407433i
$721$	−359.076	+	260.884i	−0.498025	+	0.361836i
$722$	424.029	+	67.1595i	0.587297	+	0.0930187i
$723$	−97.1855	−	49.5185i	−0.134420	−	0.0684903i
$724$		−	1032.24i		−	1.42575i
$725$	−743.135	−	0.109853i	−1.02501	−	0.000151521i
$726$	−106.852			−0.147179
$727$	−367.375	+	721.014i	−0.505330	+	0.991766i	0.487600	+	0.873067i	$0.337872\pi$
$727$	−367.375	+	721.014i	−0.505330	+	0.991766i	−0.992930	+	0.118699i	$0.962128\pi$
$728$	91.9723	−	580.690i	0.126336	−	0.797651i
$729$	344.879	+	474.685i	0.473085	+	0.651146i
$730$	−640.586	−	326.455i	−0.877516	−	0.447198i
$731$	76.5566	+	55.6216i	0.104729	+	0.0760898i
$732$	141.558	+	141.558i	0.193385	+	0.193385i
$733$	−1065.05	+	168.688i	−1.45301	+	0.230134i	−0.832481	−	0.554053i	$-0.813080\pi$
$733$	−1065.05	+	168.688i	−1.45301	+	0.230134i	−0.620525	+	0.784187i	$0.713080\pi$
$734$	−1519.24	−	493.631i	−2.06981	−	0.672522i
$735$	36.7196	+	113.040i	0.0499587	+	0.153796i
$736$	502.400	+	1546.23i	0.682609	+	2.10085i
$737$	−631.404	+	321.717i	−0.856722	+	0.436522i
$738$	−349.998	−	686.910i	−0.474252	−	0.930772i
$739$	−678.896	+	220.587i	−0.918669	+	0.298494i	−0.729921	−	0.683532i	$-0.760443\pi$
$739$	−678.896	+	220.587i	−0.918669	+	0.298494i	−0.188748	+	0.982025i	$0.560443\pi$
$740$	0.0391386	−	529.530i	5.28900e−5	−	0.715582i
$741$	41.1335	−	126.596i	0.0555107	−	0.170844i
$742$	44.3498	+	280.014i	0.0597706	+	0.377377i
$743$	234.543	−	234.543i	0.315670	−	0.315670i	−0.531431	−	0.847101i	$-0.678346\pi$
$743$	234.543	−	234.543i	0.315670	−	0.315670i	0.847101	+	0.531431i	$0.178346\pi$
$744$	155.770	−	214.399i	0.209368	−	0.288171i
$745$	391.069	−	199.223i	0.524925	−	0.267414i
$746$	186.381	−	135.414i	0.249840	−	0.181520i
$747$	595.897	+	94.3807i	0.797720	+	0.126346i
$748$	−336.371	−	171.390i	−0.449694	−	0.229131i
$749$			144.210i			0.192537i
$750$	181.049	+	181.129i	0.241398	+	0.241505i
$751$	699.888			0.931941			0.465971	−	0.884800i	$-0.345705\pi$
$751$	699.888			0.931941			0.465971	+	0.884800i	$0.345705\pi$
$752$	1107.14	−	2172.88i	1.47226	−	2.88947i
$753$	17.5257	−	110.653i	0.0232745	−	0.146950i
$754$	725.493	+	998.555i	0.962192	+	1.32434i
$755$	145.642	+	285.890i	0.192903	+	0.378662i
$756$	186.108	+	135.216i	0.246175	+	0.178857i
$757$	553.167	+	553.167i	0.730736	+	0.730736i	0.970766	−	0.240029i	$-0.0771571\pi$
$757$	553.167	+	553.167i	0.730736	+	0.730736i	−0.240029	+	0.970766i	$0.577157\pi$
$758$	295.149	−	46.7470i	0.389379	−	0.0616715i
$759$	−97.5692	−	31.7022i	−0.128550	−	0.0417683i
$760$	2420.81	+	0.178926i	3.18527	+	0.000235429i
$761$	−5.50775	−	16.9511i	−0.00723752	−	0.0222748i	0.947373	−	0.320133i	$-0.103728\pi$
$761$	−5.50775	−	16.9511i	−0.00723752	−	0.0222748i	−0.954610	+	0.297858i	$0.903728\pi$
$762$	330.585	−	168.442i	0.433839	−	0.221052i
$763$	−93.3466	−	183.203i	−0.122342	−	0.240109i
$764$	−830.038	+	269.696i	−1.08644	+	0.353005i
$765$	−189.290	+	61.4884i	−0.247437	+	0.0803770i
$766$	106.840	−	328.818i	0.139477	−	0.429267i
$767$	17.6747	+	111.594i	0.0230439	+	0.145494i
$768$	−43.7915	+	43.7915i	−0.0570202	+	0.0570202i
$769$	571.368	−	786.421i	0.743002	−	1.02265i	−0.255438	−	0.966825i	$-0.582220\pi$
$769$	571.368	−	786.421i	0.743002	−	1.02265i	0.998440	−	0.0558291i	$-0.0177802\pi$
$770$	−167.579	+	328.833i	−0.217635	+	0.427056i
$771$	−36.2598	+	26.3443i	−0.0470295	+	0.0341690i
$772$	52.8416	+	8.36929i	0.0684477	+	0.0108410i
$773$	700.723	+	357.036i	0.906498	+	0.461884i	0.844111	−	0.536168i	$-0.180129\pi$
$773$	700.723	+	357.036i	0.906498	+	0.461884i	0.0623870	+	0.998052i	$0.480129\pi$
$774$			671.738i			0.867879i
$775$	517.509	−	168.064i	0.667753	−	0.216857i
$776$	−1055.90			−1.36069
$777$	−6.32089	+	12.4054i	−0.00813499	+	0.0159658i
$778$	−393.437	+	2484.07i	−0.505704	+	3.19289i
$779$	304.355	+	418.909i	0.390700	+	0.537752i
$780$	47.4736	−	299.593i	0.0608636	−	0.384094i
$781$	472.192	+	343.067i	0.604599	+	0.439267i
$782$	272.263	+	272.263i	0.348163	+	0.348163i
$783$	−285.109	+	45.1568i	−0.364124	+	0.0576715i
$784$	1775.63	+	576.936i	2.26483	+	0.735888i
$785$	−318.205	+	979.089i	−0.405357	+	1.24725i
$786$	79.8131	+	245.639i	0.101543	+	0.312518i
$787$	1306.69	−	665.792i	1.66034	−	0.845988i	0.665298	−	0.746578i	$-0.268305\pi$
$787$	1306.69	−	665.792i	1.66034	−	0.845988i	0.995047	−	0.0994097i	$-0.0316954\pi$
$788$	−739.668	−	1451.68i	−0.938665	−	1.84223i
$789$	105.204	−	34.1829i	0.133339	−	0.0433243i
$790$	−1406.06	−	1935.58i	−1.77983	−	2.45010i
$791$	128.048	−	394.092i	0.161882	−	0.498220i
$792$	−250.576	−	1582.07i	−0.316383	−	1.99757i
$793$	288.535	−	288.535i	0.363853	−	0.363853i
$794$	189.801	−	261.238i	0.239044	−	0.329016i
$795$	13.6702	+	86.3515i	0.0171952	+	0.108618i
$796$	−1283.47	+	932.493i	−1.61239	+	1.17147i
$797$	−988.273	−	156.527i	−1.23999	−	0.196395i	−0.498221	−	0.867050i	$-0.666013\pi$
$797$	−988.273	−	156.527i	−1.23999	−	0.196395i	−0.741770	+	0.670655i	$0.766013\pi$
$798$	−94.8829	−	48.3453i	−0.118901	−	0.0605830i
$799$		−	258.948i		−	0.324090i
$800$	1781.50	−	281.893i	2.22688	−	0.352366i
$801$	−1391.15			−1.73676
$802$	651.260	−	1278.17i	0.812045	−	1.59373i
$803$	49.9845	−	315.590i	0.0622472	−	0.393013i
$804$	−273.871	−	376.951i	−0.340635	−	0.468844i
$805$	189.827	−	189.799i	0.235809	−	0.235775i
$806$	−731.131	−	531.197i	−0.907110	−	0.659054i
$807$	−167.167	−	167.167i	−0.207147	−	0.207147i
$808$	−238.467	+	37.7695i	−0.295133	+	0.0467445i
$809$	1247.10	+	405.206i	1.54153	+	0.500873i	0.951798	−	0.306727i	$-0.0992339\pi$
$809$	1247.10	+	405.206i	1.54153	+	0.500873i	0.589731	+	0.807600i	$0.299234\pi$
$810$	−1102.01	−	800.779i	−1.36050	−	0.988616i
$811$	−402.259	−	1238.03i	−0.496004	−	1.52654i	−0.815386	−	0.578918i	$-0.803475\pi$
$811$	−402.259	−	1238.03i	−0.496004	−	1.52654i	0.319382	−	0.947626i	$-0.396525\pi$
$812$	627.412	−	319.682i	0.772675	−	0.393697i
$813$	−89.0713	−	174.812i	−0.109559	−	0.215021i
$814$	313.851	−	101.976i	0.385566	−	0.125278i
$815$	−354.594	+	487.981i	−0.435085	+	0.598750i
$816$	33.4339	−	102.899i	0.0409730	−	0.126102i
$817$	−70.5790	−	445.618i	−0.0863880	−	0.545432i
$818$	−708.733	+	708.733i	−0.866421	+	0.866421i
$819$	135.460	−	186.445i	0.165397	−	0.227649i
$820$	834.293	+	834.416i	1.01743	+	1.01758i
$821$	536.224	−	389.589i	0.653135	−	0.474530i	−0.211203	−	0.977442i	$-0.567738\pi$
$821$	536.224	−	389.589i	0.653135	−	0.474530i	0.864338	+	0.502912i	$0.167738\pi$
$822$	−394.767	−	62.5250i	−0.480252	−	0.0760645i
$823$	−1122.08	−	571.727i	−1.36340	−	0.694687i	−0.389364	−	0.921084i	$-0.627305\pi$
$823$	−1122.08	−	571.727i	−1.36340	−	0.694687i	−0.974035	+	0.226397i	$0.927305\pi$
$824$			4134.36i			5.01742i
$825$	−51.6855	+	101.401i	−0.0626491	+	0.122911i
$826$	90.3886			0.109429
$827$	−91.9327	+	180.428i	−0.111164	+	0.218172i	−0.939886	−	0.341489i	$-0.889069\pi$
$827$	−91.9327	+	180.428i	−0.111164	+	0.218172i	0.828722	+	0.559661i	$0.189069\pi$
$828$	−304.912	+	1925.14i	−0.368252	+	2.32505i
$829$	−108.055	−	148.724i	−0.130343	−	0.179402i	0.738857	−	0.673862i	$-0.235366\pi$
$829$	−108.055	−	148.724i	−0.130343	−	0.179402i	−0.869200	+	0.494460i	$0.835366\pi$
$830$	−1278.97	+	202.472i	−1.54093	+	0.243942i
$831$	69.1558	+	50.2446i	0.0832200	+	0.0604629i
$832$	−762.905	−	762.905i	−0.916954	−	0.916954i
$833$	195.804	−	31.0123i	0.235059	−	0.0372297i
$834$	−85.3986	−	27.7477i	−0.102396	−	0.0332706i
$835$	−967.850	+	703.075i	−1.15910	+	0.842006i
$836$	556.210	+	1711.84i	0.665323	+	2.04765i
$837$	188.319	−	95.9535i	0.224993	−	0.114640i
$838$	−830.248	−	1629.45i	−0.990749	−	1.94445i
$839$	−194.244	+	63.1137i	−0.231519	+	0.0752249i	−0.422479	−	0.906373i	$-0.638840\pi$
$839$	−194.244	+	63.1137i	−0.231519	+	0.0752249i	0.190960	+	0.981598i	$0.438840\pi$
$840$	−137.943	−	44.8317i	−0.164218	−	0.0533711i
$841$	−13.1636	+	40.5135i	−0.0156524	+	0.0481730i
$842$	−9.61867	−	60.7299i	−0.0114236	−	0.0721257i
$843$	−63.9380	+	63.9380i	−0.0758458	+	0.0758458i
$844$	−1650.59	+	2271.85i	−1.95568	+	2.69176i
$845$	223.930	+	35.4841i	0.265006	+	0.0419930i
$846$	1487.11	−	1080.45i	1.75782	−	1.27713i
$847$	122.723	+	19.4374i	0.144891	+	0.0229485i
$848$	1223.65	+	623.479i	1.44298	+	0.735235i
$849$			162.949i			0.191930i
$850$	345.619	−	251.029i	0.406611	−	0.295328i
$851$	−240.019			−0.282044
$852$	−174.224	+	341.934i	−0.204488	+	0.401331i
$853$	167.151	−	1055.35i	0.195957	−	1.23722i	−0.671987	−	0.740563i	$-0.734559\pi$
$853$	167.151	−	1055.35i	0.195957	−	1.23722i	0.867944	−	0.496662i	$-0.165441\pi$
$854$	−191.879	−	264.098i	−0.224682	−	0.309249i
$855$	845.459	+	430.862i	0.988841	+	0.503932i
$856$	1086.76	+	789.577i	1.26958	+	0.922403i
$857$	639.246	+	639.246i	0.745912	+	0.745912i	0.973709	−	0.227797i	$-0.0731523\pi$
$857$	639.246	+	639.246i	0.745912	+	0.745912i	−0.227797	+	0.973709i	$0.573152\pi$
$858$	186.708	−	29.5716i	0.217608	−	0.0344658i
$859$	999.708	+	324.825i	1.16380	+	0.378143i	0.826327	−	0.563191i	$-0.190426\pi$
$859$	999.708	+	324.825i	1.16380	+	0.378143i	0.337478	+	0.941334i	$0.390426\pi$
$860$	−317.637	−	977.831i	−0.369345	−	1.13701i
$861$	−9.58713	−	29.5061i	−0.0111349	−	0.0342696i
$862$	−1266.78	+	645.457i	−1.46958	+	0.748790i
$863$	−197.248	−	387.122i	−0.228561	−	0.448577i	0.748035	−	0.663660i	$-0.230998\pi$
$863$	−197.248	−	387.122i	−0.228561	−	0.448577i	−0.976596	+	0.215083i	$0.930998\pi$
$864$	666.326	−	216.502i	0.771210	−	0.250581i
$865$	0.0894932	−	1210.81i	0.000103460	−	1.39978i
$866$	449.660	−	1383.91i	0.519238	−	1.59805i
$867$	23.0082	+	145.268i	0.0265377	+	0.167553i
$868$	−364.569	+	364.569i	−0.420010	+	0.420010i
$869$	624.940	−	860.156i	0.719148	−	0.989823i
$870$	271.326	−	138.222i	0.311869	−	0.158876i
$871$	−768.334	+	558.227i	−0.882129	+	0.640904i
$872$	−1891.70	−	299.615i	−2.16938	−	0.343595i
$873$	−368.783	−	187.904i	−0.422432	−	0.215240i
$874$		−	1835.79i		−	2.10044i
$875$	−174.991	−	240.967i	−0.199990	−	0.275391i
$876$	210.089			0.239828
$877$	−282.531	+	554.497i	−0.322156	+	0.632266i	−0.994116	−	0.108321i	$-0.965453\pi$
$877$	−282.531	+	554.497i	−0.322156	+	0.632266i	0.671960	+	0.740587i	$0.265453\pi$
$878$	−316.767	+	1999.99i	−0.360783	+	2.27789i
$879$	66.8324	+	91.9869i	0.0760323	+	0.104649i
$880$	811.541	+	1593.03i	0.922206	+	1.81026i
$881$	36.6601	+	26.6352i	0.0416120	+	0.0302329i	0.608397	−	0.793633i	$-0.291813\pi$
$881$	36.6601	+	26.6352i	0.0416120	+	0.0302329i	−0.566785	+	0.823866i	$0.691813\pi$
$882$	995.089	+	995.089i	1.12822	+	1.12822i
$883$	442.345	−	70.0606i	0.500957	−	0.0793438i	0.0991582	−	0.995072i	$-0.468385\pi$
$883$	442.345	−	70.0606i	0.500957	−	0.0793438i	0.401799	+	0.915728i	$0.368385\pi$
$884$	−481.183	−	156.346i	−0.544325	−	0.176862i
$885$	27.8740	+	0.00206022i	0.0314960	+	2.32793e-6i
$886$	−279.229	−	859.379i	−0.315157	−	0.969954i
$887$	639.566	−	325.875i	0.721043	−	0.367390i	−0.0546452	−	0.998506i	$-0.517403\pi$
$887$	639.566	−	325.875i	0.721043	−	0.367390i	0.775689	+	0.631116i	$0.217403\pi$
$888$	58.8786	+	115.556i	0.0663047	+	0.130130i
$889$	−410.329	+	133.324i	−0.461562	+	0.149971i
$890$	2839.71	−	922.444i	3.19068	−	1.03645i
$891$	187.078	−	575.766i	0.209964	−	0.646202i
$892$	−6.24180	−	39.4092i	−0.00699754	−	0.0441807i
$893$	−873.001	+	873.001i	−0.977605	+	0.977605i
$894$	−105.706	+	145.492i	−0.118240	+	0.162743i
$895$	−668.550	+	1311.86i	−0.746983	+	1.46577i
$896$	−142.063	+	103.215i	−0.158553	+	0.115195i
$897$	−135.798	−	21.5082i	−0.151391	−	0.0239780i
$898$	129.013	+	65.7353i	0.143667	+	0.0732019i
$899$		−	646.961i		−	0.719645i
$900$	2056.45	+	668.516i	2.28494	+	0.742796i
$901$	145.825			0.161848
$902$	−333.840	+	655.198i	−0.370111	+	0.726384i
$903$	−4.22883	+	26.6998i	−0.00468309	+	0.0295678i
$904$	−2268.77	−	3122.69i	−2.50970	−	3.45430i
$905$	−81.2387	+	512.676i	−0.0897665	+	0.566492i
$906$	−106.362	−	77.2764i	−0.117397	−	0.0852941i
$907$	−413.291	−	413.291i	−0.455668	−	0.455668i	0.441563	−	0.897230i	$-0.354424\pi$
$907$	−413.291	−	413.291i	−0.455668	−	0.455668i	−0.897230	+	0.441563i	$0.854424\pi$
$908$	125.667	−	19.9037i	0.138399	−	0.0219203i
$909$	−90.0085	−	29.2455i	−0.0990192	−	0.0321733i
$910$	−152.882	+	470.405i	−0.168003	+	0.516929i
$911$	432.752	+	1331.87i	0.475030	+	1.46199i	0.845918	+	0.533314i	$0.179053\pi$
$911$	432.752	+	1331.87i	0.475030	+	1.46199i	−0.370888	+	0.928678i	$0.620947\pi$
$912$	−459.626	+	234.191i	−0.503975	+	0.256788i
$913$	−261.259	−	512.749i	−0.286154	−	0.561609i
$914$	−1393.51	+	452.780i	−1.52463	+	0.495383i
$915$	−59.1654	−	81.4469i	−0.0646617	−	0.0890130i
$916$	−192.655	+	592.932i	−0.210322	+	0.647306i
$917$	−46.9837	−	296.643i	−0.0512363	−	0.323493i
$918$	117.328	−	117.328i	0.127808	−	0.127808i
$919$	126.027	−	173.462i	0.137135	−	0.188750i	−0.734926	−	0.678147i	$-0.762783\pi$
$919$	126.027	−	173.462i	0.137135	−	0.188750i	0.872061	+	0.489397i	$0.162783\pi$
$920$	−390.975	−	2469.70i	−0.424973	−	2.68446i
$921$	226.865	−	164.827i	0.246324	−	0.178965i
$922$	2635.37	+	417.402i	2.85832	+	0.452714i
$923$	696.959	+	355.118i	0.755102	+	0.384744i
$924$		−	107.845i		−	0.116716i
$925$	−41.6940	+	262.994i	−0.0450746	+	0.284318i
$926$	2173.38			2.34707
$927$	−735.737	+	1443.97i	−0.793675	+	1.55768i
$928$	335.488	−	2118.19i	0.361517	−	2.28253i
$929$	261.789	+	360.321i	0.281796	+	0.387859i	0.926328	−	0.376718i	$-0.122948\pi$
$929$	261.789	+	360.321i	0.281796	+	0.387859i	−0.644532	+	0.764578i	$0.722948\pi$
$930$	−157.665	+	157.641i	−0.169532	+	0.169507i
$931$	−764.676	−	555.570i	−0.821349	−	0.596745i
$932$	−1484.14	−	1484.14i	−1.59242	−	1.59242i
$933$	−216.441	+	34.2808i	−0.231983	+	0.0367426i
$934$	−951.714	−	309.231i	−1.01897	−	0.331082i
$935$	153.574	+	111.595i	0.164250	+	0.119353i
$936$	−663.368	−	2041.64i	−0.708727	−	2.18124i
$937$	−630.597	+	321.305i	−0.672996	+	0.342908i	−0.756868	−	0.653568i	$-0.773271\pi$
$937$	−630.597	+	321.305i	−0.672996	+	0.342908i	0.0838720	+	0.996477i	$0.473271\pi$
$938$	344.932	+	676.967i	0.367731	+	0.721713i
$939$	9.24581	−	3.00414i	0.00984644	−	0.00319930i
$940$	−1653.85	+	2275.98i	−1.75942	+	2.42125i
$941$	−99.0275	+	304.775i	−0.105236	+	0.323885i	−0.989786	−	0.142562i	$-0.954466\pi$
$941$	−99.0275	+	304.775i	−0.105236	+	0.323885i	0.884549	+	0.466447i	$0.154466\pi$
$942$	−65.9911	−	416.651i	−0.0700542	−	0.442305i
$943$	378.187	−	378.187i	0.401046	−	0.401046i
$944$	257.365	−	354.232i	0.272632	−	0.375246i
$945$	−81.7911	−	81.8032i	−0.0865514	−	0.0865642i
$946$	518.359	−	376.610i	0.547948	−	0.398108i
$947$	−1358.21	−	215.120i	−1.43423	−	0.227159i	−0.609542	−	0.792753i	$-0.708647\pi$
$947$	−1358.21	−	215.120i	−1.43423	−	0.227159i	−0.824684	+	0.565594i	$0.808647\pi$
$948$	622.875	+	317.371i	0.657041	+	0.334779i
$949$		−	428.221i		−	0.451234i
$950$	−2011.51	−	318.896i	−2.11738	−	0.335680i
$951$	129.311			0.135973
$952$	−109.834	+	215.562i	−0.115372	+	0.226431i
$953$	128.283	−	809.948i	0.134610	−	0.849893i	−0.824294	−	0.566162i	$-0.808428\pi$
$953$	128.283	−	809.948i	0.134610	−	0.849893i	0.958904	−	0.283731i	$-0.0915724\pi$
$954$	608.451	+	837.461i	0.637789	+	0.877841i
$955$	433.473	−	68.6225i	0.453898	−	0.0718560i
$956$	−282.951	−	205.576i	−0.295973	−	0.215037i
$957$	95.6904	+	95.6904i	0.0999900	+	0.0999900i
$958$	2641.55	−	418.381i	2.75736	−	0.436723i
$959$	442.029	+	143.624i	0.460927	+	0.149764i
$960$	−215.351	+	156.437i	−0.224324	+	0.162955i
$961$	−150.585	−	463.453i	−0.156696	−	0.482261i
$962$	394.061	−	200.784i	0.409627	−	0.208715i
$963$	239.051	+	469.164i	0.248236	+	0.487190i
$964$	1879.90	−	610.818i	1.95011	−	0.633629i
$965$	−25.5857	−	8.31538i	−0.0265137	−	0.00861698i
$966$	−33.9898	+	104.610i	−0.0351862	+	0.108292i
$967$	126.707	+	799.997i	0.131031	+	0.827298i	0.962412	+	0.271594i	$0.0875509\pi$
$967$	126.707	+	799.997i	0.131031	+	0.827298i	−0.831381	+	0.555703i	$0.812449\pi$
$968$	818.407	−	818.407i	0.845462	−	0.845462i
$969$	−32.1957	+	44.3136i	−0.0332257	+	0.0457313i
$970$	877.382	+	139.030i	0.904517	+	0.143330i
$971$	52.0686	−	37.8300i	0.0536236	−	0.0389599i	−0.560651	−	0.828053i	$-0.689449\pi$
$971$	52.0686	−	37.8300i	0.0536236	−	0.0389599i	0.614274	+	0.789093i	$0.289449\pi$
$972$	1251.47	+	198.214i	1.28753	+	0.203924i
$973$	93.0354	+	47.4039i	0.0956171	+	0.0487193i
$974$			1187.84i			1.21955i
$975$	−47.1565	+	145.060i	−0.0483657	+	0.148779i
$976$	−1581.34			−1.62022
$977$	533.263	−	1046.59i	0.545817	−	1.07123i	−0.439139	−	0.898419i	$-0.644717\pi$
$977$	533.263	−	1046.59i	0.545817	−	1.07123i	0.984956	−	0.172806i	$-0.0552835\pi$
$978$	38.6659	−	244.127i	0.0395357	−	0.249618i
$979$	779.946	+	1073.50i	0.796677	+	1.09653i
$980$	−1919.06	−	977.988i	−1.95822	−	0.997947i
$981$	−607.375	−	441.284i	−0.619139	−	0.449831i
$982$	716.848	+	716.848i	0.729988	+	0.729988i
$983$	130.273	−	20.6332i	0.132526	−	0.0209901i	−0.0898190	−	0.995958i	$-0.528629\pi$
$983$	130.273	−	20.6332i	0.132526	−	0.0209901i	0.222345	+	0.974968i	$0.428629\pi$
$984$	−274.848	−	89.3034i	−0.279317	−	0.0907555i
$985$	253.115	+	779.205i	0.256970	+	0.791071i
$986$	−156.951	−	483.045i	−0.159179	−	0.489903i
$987$	65.9106	−	33.5831i	0.0667787	−	0.0340254i
$988$	1095.14	+	2149.33i	1.10844	+	2.17543i
$989$	−443.209	+	144.007i	−0.448139	+	0.145609i
$990$	−0.0996030	+	1347.59i	−0.000100609	+	1.36120i
$991$	−572.348	+	1761.51i	−0.577546	+	1.77750i	0.0497946	+	0.998759i	$0.484143\pi$
$991$	−572.348	+	1761.51i	−0.577546	+	1.77750i	−0.627341	+	0.778745i	$0.715857\pi$
$992$	245.640	+	1550.91i	0.247621	+	1.56342i
$993$	138.674	−	138.674i	0.139651	−	0.139651i
$994$	367.823	−	506.265i	0.370044	−	0.509321i
$995$	710.836	−	362.123i	0.714408	−	0.363942i
$996$	306.113	−	222.404i	0.307343	−	0.223298i
$997$	216.811	+	34.3394i	0.217463	+	0.0344428i	0.264215	−	0.964464i	$-0.414887\pi$
$997$	216.811	+	34.3394i	0.217463	+	0.0344428i	−0.0467521	+	0.998907i	$0.514887\pi$
$998$	−1655.85	−	843.695i	−1.65916	−	0.845386i
$999$			103.433i			0.103537i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	25.3.f.a.17.1	yes	32
3.2	odd	2		225.3.r.a.217.4		32
4.3	odd	2		400.3.bg.c.17.2		32
5.2	odd	4		125.3.f.b.18.1		32
5.3	odd	4		125.3.f.a.18.4		32
5.4	even	2		125.3.f.c.107.4		32
25.3	odd	20	inner	25.3.f.a.3.1	✓	32
25.4	even	10		125.3.f.b.7.1		32
25.21	even	5		125.3.f.a.7.4		32
25.22	odd	20		125.3.f.c.118.4		32
75.53	even	20		225.3.r.a.28.4		32
100.3	even	20		400.3.bg.c.353.2		32

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
25.3.f.a.3.1	✓	32	25.3	odd	20	inner
25.3.f.a.17.1	yes	32	1.1	even	1	trivial
125.3.f.a.7.4		32	25.21	even	5
125.3.f.a.18.4		32	5.3	odd	4
125.3.f.b.7.1		32	25.4	even	10
125.3.f.b.18.1		32	5.2	odd	4
125.3.f.c.107.4		32	5.4	even	2
125.3.f.c.118.4		32	25.22	odd	20
225.3.r.a.28.4		32	75.53	even	20
225.3.r.a.217.4		32	3.2	odd	2
400.3.bg.c.17.2		32	4.3	odd	2
400.3.bg.c.353.2		32	100.3	even	20

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 25 = 5^{2} \)
Weight:	\( k \)	\(=\)	\( 3 \)
Character orbit:	\([\chi]\)	\(=\)	25.f (of order \(20\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.69523 + 3.32707i) q^{2} +(-0.0858318 + 0.541921i) q^{3} +(-5.84445 - 8.04419i) q^{4} +(2.26962 + 4.45520i) q^{5} +(-1.65750 - 1.20425i) q^{6} +(1.68463 + 1.68463i) q^{7} +(21.9189 - 3.47161i) q^{8} +(8.27320 + 2.68812i) q^{9} +O(q^{10})\)	\(q+(-1.69523 + 3.32707i) q^{2} +(-0.0858318 + 0.541921i) q^{3} +(-5.84445 - 8.04419i) q^{4} +(2.26962 + 4.45520i) q^{5} +(-1.65750 - 1.20425i) q^{6} +(1.68463 + 1.68463i) q^{7} +(21.9189 - 3.47161i) q^{8} +(8.27320 + 2.68812i) q^{9} +(-18.6703 - 0.00137996i) q^{10} +(-2.56403 - 7.89126i) q^{11} +(4.86096 - 2.47678i) q^{12} +(-5.04839 - 9.90802i) q^{13} +(-8.46071 + 2.74905i) q^{14} +(-2.60917 + 0.847558i) q^{15} +(-13.3168 + 40.9848i) q^{16} +(0.715822 + 4.51952i) q^{17} +(-22.9685 + 22.9685i) q^{18} +(12.8236 - 17.6502i) q^{19} +(22.5738 - 44.2955i) q^{20} +(-1.05753 + 0.768341i) q^{21} +(30.6014 + 4.84678i) q^{22} +(-20.0785 - 10.2305i) q^{23} +12.1763i q^{24} +(-14.6976 + 20.2233i) q^{25} +41.5228 q^{26} +(-4.40870 + 8.65255i) q^{27} +(3.70576 - 23.3972i) q^{28} +(17.4721 + 24.0483i) q^{29} +(1.60325 - 10.1177i) q^{30} +(-17.6079 - 12.7929i) q^{31} +(-51.0155 - 51.0155i) q^{32} +(4.49651 - 0.712178i) q^{33} +(-16.2502 - 5.28003i) q^{34} +(-3.68189 + 11.3288i) q^{35} +(-26.7285 - 82.2618i) q^{36} +(9.49023 - 4.83551i) q^{37} +(36.9844 + 72.5860i) q^{38} +(5.80267 - 1.88540i) q^{39} +(65.2144 + 89.7739i) q^{40} +(-7.33421 + 22.5724i) q^{41} +(-0.763569 - 4.82099i) q^{42} +(14.6230 - 14.6230i) q^{43} +(-48.4935 + 66.7456i) q^{44} +(6.80091 + 42.9598i) q^{45} +(68.0752 - 49.4595i) q^{46} +(-55.8932 - 8.85261i) q^{47} +(-21.0675 - 10.7344i) q^{48} -43.3240i q^{49} +(-42.3683 - 83.1830i) q^{50} -2.51066 q^{51} +(-50.1970 + 98.5172i) q^{52} +(4.98530 - 31.4759i) q^{53} +(-21.3139 - 29.3361i) q^{54} +(29.3378 - 29.3335i) q^{55} +(42.7736 + 31.0769i) q^{56} +(8.46431 + 8.46431i) q^{57} +(-109.630 + 17.3636i) q^{58} +(-9.66317 - 3.13976i) q^{59} +(22.0671 + 16.0352i) q^{60} +(11.3394 + 34.8991i) q^{61} +(72.4123 - 36.8959i) q^{62} +(9.40878 + 18.4658i) q^{63} +(92.2754 - 29.9821i) q^{64} +(32.6843 - 44.9791i) q^{65} +(-5.25314 + 16.1675i) q^{66} +(-13.3604 - 84.3541i) q^{67} +(32.1723 - 32.1723i) q^{68} +(7.26750 - 10.0029i) q^{69} +(-31.4502 - 31.4548i) q^{70} +(-56.9086 + 41.3465i) q^{71} +(190.672 + 30.1994i) q^{72} +(34.3118 + 17.4827i) q^{73} +39.7719i q^{74} +(-9.69788 - 9.70074i) q^{75} -216.928 q^{76} +(8.97442 - 17.6133i) q^{77} +(-3.56398 + 22.5021i) q^{78} +(75.3179 + 103.666i) q^{79} +(-212.820 + 33.6912i) q^{80} +(59.0278 + 42.8862i) q^{81} +(-62.6667 - 62.6667i) q^{82} +(68.5021 - 10.8497i) q^{83} +(12.3614 + 4.01645i) q^{84} +(-18.5107 + 13.4468i) q^{85} +(23.8625 + 73.4411i) q^{86} +(-14.5320 + 7.40440i) q^{87} +(-83.5961 - 164.067i) q^{88} +(-152.094 + 49.4183i) q^{89} +(-154.459 - 50.1995i) q^{90} +(8.18668 - 25.1960i) q^{91} +(35.0516 + 221.307i) q^{92} +(8.44406 - 8.44406i) q^{93} +(124.205 - 170.953i) q^{94} +(107.740 + 17.0725i) q^{95} +(32.0251 - 23.2676i) q^{96} +(-46.9941 - 7.44313i) q^{97} +(144.142 + 73.4440i) q^{98} -72.1784i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 32 q - 10 q^{2} - 10 q^{3} - 10 q^{4} - 10 q^{5} - 6 q^{6} - 10 q^{7} - 10 q^{8} - 10 q^{9}+O(q^{10}) \) 32 * q - 10 * q^2 - 10 * q^3 - 10 * q^4 - 10 * q^5 - 6 * q^6 - 10 * q^7 - 10 * q^8 - 10 * q^9	\( 32 q - 10 q^{2} - 10 q^{3} - 10 q^{4} - 10 q^{5} - 6 q^{6} - 10 q^{7} - 10 q^{8} - 10 q^{9} - 10 q^{10} - 6 q^{11} - 10 q^{12} - 10 q^{13} - 10 q^{14} - 10 q^{15} + 2 q^{16} + 60 q^{17} + 140 q^{18} + 90 q^{19} + 130 q^{20} - 6 q^{21} + 70 q^{22} + 10 q^{23} - 40 q^{25} + 4 q^{26} - 100 q^{27} - 250 q^{28} - 110 q^{29} - 250 q^{30} - 6 q^{31} - 290 q^{32} - 190 q^{33} - 260 q^{34} - 120 q^{35} - 58 q^{36} + 50 q^{37} + 320 q^{38} + 390 q^{39} + 440 q^{40} - 86 q^{41} + 690 q^{42} + 230 q^{43} + 340 q^{44} + 310 q^{45} - 6 q^{46} + 70 q^{47} + 160 q^{48} - 100 q^{50} - 16 q^{51} - 320 q^{52} - 190 q^{53} - 660 q^{54} - 250 q^{55} - 70 q^{56} - 650 q^{57} - 640 q^{58} - 260 q^{59} - 550 q^{60} + 114 q^{61} + 60 q^{62} - 20 q^{63} + 340 q^{64} + 360 q^{65} + 138 q^{66} + 270 q^{67} + 710 q^{68} + 340 q^{69} + 310 q^{70} - 66 q^{71} + 360 q^{72} + 30 q^{73} - 90 q^{75} - 80 q^{76} - 250 q^{77} - 500 q^{78} - 210 q^{79} - 850 q^{80} + 62 q^{81} + 30 q^{82} - 10 q^{84} + 600 q^{85} - 6 q^{86} + 300 q^{87} + 190 q^{88} - 10 q^{89} + 380 q^{90} - 6 q^{91} - 30 q^{92} + 520 q^{93} + 790 q^{94} + 310 q^{95} + 174 q^{96} + 270 q^{97} + 170 q^{98}+O(q^{100}) \) 32 * q - 10 * q^2 - 10 * q^3 - 10 * q^4 - 10 * q^5 - 6 * q^6 - 10 * q^7 - 10 * q^8 - 10 * q^9 - 10 * q^10 - 6 * q^11 - 10 * q^12 - 10 * q^13 - 10 * q^14 - 10 * q^15 + 2 * q^16 + 60 * q^17 + 140 * q^18 + 90 * q^19 + 130 * q^20 - 6 * q^21 + 70 * q^22 + 10 * q^23 - 40 * q^25 + 4 * q^26 - 100 * q^27 - 250 * q^28 - 110 * q^29 - 250 * q^30 - 6 * q^31 - 290 * q^32 - 190 * q^33 - 260 * q^34 - 120 * q^35 - 58 * q^36 + 50 * q^37 + 320 * q^38 + 390 * q^39 + 440 * q^40 - 86 * q^41 + 690 * q^42 + 230 * q^43 + 340 * q^44 + 310 * q^45 - 6 * q^46 + 70 * q^47 + 160 * q^48 - 100 * q^50 - 16 * q^51 - 320 * q^52 - 190 * q^53 - 660 * q^54 - 250 * q^55 - 70 * q^56 - 650 * q^57 - 640 * q^58 - 260 * q^59 - 550 * q^60 + 114 * q^61 + 60 * q^62 - 20 * q^63 + 340 * q^64 + 360 * q^65 + 138 * q^66 + 270 * q^67 + 710 * q^68 + 340 * q^69 + 310 * q^70 - 66 * q^71 + 360 * q^72 + 30 * q^73 - 90 * q^75 - 80 * q^76 - 250 * q^77 - 500 * q^78 - 210 * q^79 - 850 * q^80 + 62 * q^81 + 30 * q^82 - 10 * q^84 + 600 * q^85 - 6 * q^86 + 300 * q^87 + 190 * q^88 - 10 * q^89 + 380 * q^90 - 6 * q^91 - 30 * q^92 + 520 * q^93 + 790 * q^94 + 310 * q^95 + 174 * q^96 + 270 * q^97 + 170 * q^98

Introduction

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