LMFDB - Embedded newform 144.3.w.a.29.20

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [144,3,Mod(5,144)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(144, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([0, 3, 10]))

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

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

chi := DirichletCharacter("144.5");

S:= CuspForms(chi, 3);

N := Newforms(S);

Level:	$ N $	$=$	$ 144 = 2^{4} \cdot 3^{2} $
Weight:	$ k $	$=$	$ 3 $
Character orbit:	$[\chi]$	$=$	144.w (of order $12$, degree $4$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$3.92371580679$
Analytic rank:	$0$
Dimension:	$184$
Relative dimension:	$46$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			29.20
Character	$\chi$	$=$	144.29
Dual form			144.3.w.a.5.20

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.608739 + 1.90511i) q^{2} +(2.61769 + 1.46550i) q^{3} +(-3.25887 - 2.31943i) q^{4} +(-2.13498 + 7.96785i) q^{5} +(-4.38543 + 4.09487i) q^{6} +(-10.2471 - 5.91616i) q^{7} +(6.40256 - 4.79658i) q^{8} +(4.70460 + 7.67247i) q^{9} +O(q^{10})$	\(q+(-0.608739 + 1.90511i) q^{2} +(2.61769 + 1.46550i) q^{3} +(-3.25887 - 2.31943i) q^{4} +(-2.13498 + 7.96785i) q^{5} +(-4.38543 + 4.09487i) q^{6} +(-10.2471 - 5.91616i) q^{7} +(6.40256 - 4.79658i) q^{8} +(4.70460 + 7.67247i) q^{9} +(-13.8800 - 8.91771i) q^{10} +(-2.67965 + 0.718009i) q^{11} +(-5.13159 - 10.8474i) q^{12} +(-0.984428 + 3.67394i) q^{13} +(17.5087 - 15.9204i) q^{14} +(-17.2656 + 17.7285i) q^{15} +(5.24051 + 15.1174i) q^{16} +3.92397i q^{17} +(-17.4808 + 4.29223i) q^{18} +(21.0377 + 21.0377i) q^{19} +(25.4385 - 21.0143i) q^{20} +(-18.1535 - 30.5038i) q^{21} +(0.263321 - 5.54210i) q^{22} +(-9.61304 - 16.6503i) q^{23} +(23.7893 - 3.17297i) q^{24} +(-37.2778 - 21.5224i) q^{25} +(-6.39999 - 4.11191i) q^{26} +(1.07114 + 26.9787i) q^{27} +(19.6718 + 43.0474i) q^{28} +(9.36387 + 34.9464i) q^{29} +(-23.2645 - 43.6849i) q^{30} +(-10.4943 - 18.1766i) q^{31} +(-31.9905 + 0.781157i) q^{32} +(-8.06673 - 2.04751i) q^{33} +(-7.47559 - 2.38868i) q^{34} +(69.0163 - 69.0163i) q^{35} +(2.46405 - 35.9156i) q^{36} +(7.79895 - 7.79895i) q^{37} +(-52.8856 + 27.2726i) q^{38} +(-7.96110 + 8.17454i) q^{39} +(24.5491 + 61.2552i) q^{40} +(15.2735 + 26.4545i) q^{41} +(69.1638 - 16.0156i) q^{42} +(7.11563 + 26.5559i) q^{43} +(10.3980 + 3.87535i) q^{44} +(-71.1773 + 21.1050i) q^{45} +(37.5724 - 8.17821i) q^{46} +(71.8427 + 41.4784i) q^{47} +(-8.43664 + 47.2528i) q^{48} +(45.5018 + 78.8114i) q^{49} +(63.6949 - 57.9168i) q^{50} +(-5.75060 + 10.2717i) q^{51} +(11.7296 - 9.68958i) q^{52} +(30.4049 + 30.4049i) q^{53} +(-52.0495 - 14.3824i) q^{54} -22.8839i q^{55} +(-93.9849 + 11.2724i) q^{56} +(24.2393 + 85.9010i) q^{57} +(-72.2769 - 3.43408i) q^{58} +(12.0510 - 44.9748i) q^{59} +(97.3865 - 17.7287i) q^{60} +(-53.0370 + 14.2112i) q^{61} +(41.0167 - 8.92791i) q^{62} +(-2.81687 - 106.454i) q^{63} +(17.9857 - 61.4208i) q^{64} +(-27.1716 - 15.6876i) q^{65} +(8.81126 - 14.1216i) q^{66} +(15.3702 - 57.3625i) q^{67} +(9.10137 - 12.7877i) q^{68} +(-0.762914 - 57.6732i) q^{69} +(89.4706 + 173.496i) q^{70} +43.4657 q^{71} +(66.9231 + 26.5575i) q^{72} -64.3392i q^{73} +(10.1103 + 19.6054i) q^{74} +(-66.0407 - 110.970i) q^{75} +(-19.7638 - 117.355i) q^{76} +(31.7064 + 8.49571i) q^{77} +(-10.7272 - 20.1429i) q^{78} +(-30.0354 + 52.0228i) q^{79} +(-131.642 + 9.48017i) q^{80} +(-36.7335 + 72.1917i) q^{81} +(-59.6962 + 12.9938i) q^{82} +(-20.1272 - 75.1158i) q^{83} +(-11.5913 + 141.514i) q^{84} +(-31.2656 - 8.37760i) q^{85} +(-54.9234 - 2.60957i) q^{86} +(-26.7024 + 105.202i) q^{87} +(-13.7126 + 17.4502i) q^{88} -3.34422 q^{89} +(3.12117 - 148.448i) q^{90} +(31.8231 - 31.8231i) q^{91} +(-7.29143 + 76.5579i) q^{92} +(-0.832851 - 62.9602i) q^{93} +(-122.754 + 111.619i) q^{94} +(-212.540 + 122.710i) q^{95} +(-84.8859 - 44.8373i) q^{96} +(60.3271 - 104.490i) q^{97} +(-177.843 + 38.7102i) q^{98} +(-18.1156 - 17.1816i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 184 q - 6 q^{2} - 4 q^{3} - 2 q^{4} - 6 q^{5} - 10 q^{6}+O(q^{10}) $ 184 * q - 6 * q^2 - 4 * q^3 - 2 * q^4 - 6 * q^5 - 10 * q^6	$ 184 q - 6 q^{2} - 4 q^{3} - 2 q^{4} - 6 q^{5} - 10 q^{6} - 8 q^{10} - 6 q^{11} - 64 q^{12} - 2 q^{13} - 6 q^{14} - 8 q^{15} - 2 q^{16} + 54 q^{18} - 8 q^{19} + 120 q^{20} - 22 q^{21} - 2 q^{22} - 160 q^{24} + 44 q^{27} - 72 q^{28} - 6 q^{29} - 90 q^{30} - 4 q^{31} - 6 q^{32} - 8 q^{33} + 6 q^{34} - 202 q^{36} - 8 q^{37} - 6 q^{38} - 2 q^{40} + 44 q^{42} - 2 q^{43} + 46 q^{45} - 160 q^{46} - 12 q^{47} - 118 q^{48} + 472 q^{49} + 228 q^{50} - 48 q^{51} - 2 q^{52} + 206 q^{54} - 300 q^{56} - 92 q^{58} - 438 q^{59} - 90 q^{60} - 2 q^{61} - 204 q^{63} + 244 q^{64} - 12 q^{65} - 508 q^{66} - 2 q^{67} - 144 q^{68} + 14 q^{69} + 96 q^{70} + 6 q^{72} + 246 q^{74} + 152 q^{75} - 158 q^{76} - 6 q^{77} + 304 q^{78} - 4 q^{79} - 8 q^{81} - 388 q^{82} - 726 q^{83} + 542 q^{84} + 48 q^{85} + 894 q^{86} + 22 q^{88} - 528 q^{90} - 204 q^{91} - 348 q^{92} + 62 q^{93} - 18 q^{94} - 12 q^{95} + 262 q^{96} - 4 q^{97} + 286 q^{99}+O(q^{100}) $ 184 * q - 6 * q^2 - 4 * q^3 - 2 * q^4 - 6 * q^5 - 10 * q^6 - 8 * q^10 - 6 * q^11 - 64 * q^12 - 2 * q^13 - 6 * q^14 - 8 * q^15 - 2 * q^16 + 54 * q^18 - 8 * q^19 + 120 * q^20 - 22 * q^21 - 2 * q^22 - 160 * q^24 + 44 * q^27 - 72 * q^28 - 6 * q^29 - 90 * q^30 - 4 * q^31 - 6 * q^32 - 8 * q^33 + 6 * q^34 - 202 * q^36 - 8 * q^37 - 6 * q^38 - 2 * q^40 + 44 * q^42 - 2 * q^43 + 46 * q^45 - 160 * q^46 - 12 * q^47 - 118 * q^48 + 472 * q^49 + 228 * q^50 - 48 * q^51 - 2 * q^52 + 206 * q^54 - 300 * q^56 - 92 * q^58 - 438 * q^59 - 90 * q^60 - 2 * q^61 - 204 * q^63 + 244 * q^64 - 12 * q^65 - 508 * q^66 - 2 * q^67 - 144 * q^68 + 14 * q^69 + 96 * q^70 + 6 * q^72 + 246 * q^74 + 152 * q^75 - 158 * q^76 - 6 * q^77 + 304 * q^78 - 4 * q^79 - 8 * q^81 - 388 * q^82 - 726 * q^83 + 542 * q^84 + 48 * q^85 + 894 * q^86 + 22 * q^88 - 528 * q^90 - 204 * q^91 - 348 * q^92 + 62 * q^93 - 18 * q^94 - 12 * q^95 + 262 * q^96 - 4 * q^97 + 286 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/144\mathbb{Z}\right)^\times$.

$n$	$37$	$65$	$127$
$\chi(n)$	$e\left(\frac{3}{4}\right)$	$e\left(\frac{1}{6}\right)$	$1$

Coefficient data

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

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

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

$2$	−0.608739	+	1.90511i	−0.304370	+	0.952554i
$2$	−0.608739	+	1.90511i	−0.304370	+	0.952554i
$3$	2.61769	+	1.46550i	0.872563	+	0.488501i
$3$	2.61769	+	1.46550i	0.872563	+	0.488501i
$4$	−3.25887	−	2.31943i	−0.814718	−	0.579857i
$5$	−2.13498	+	7.96785i	−0.426996	+	1.59357i	0.332530	+	0.943093i	$0.392098\pi$
$5$	−2.13498	+	7.96785i	−0.426996	+	1.59357i	−0.759526	+	0.650477i	$0.774569\pi$
$6$	−4.38543	+	4.09487i	−0.730906	+	0.682479i
$7$	−10.2471	−	5.91616i	−1.46387	−	0.845165i	−0.464682	−	0.885478i	$-0.653831\pi$
$7$	−10.2471	−	5.91616i	−1.46387	−	0.845165i	−0.999187	+	0.0403127i	$0.987165\pi$
$8$	6.40256	−	4.79658i	0.800321	−	0.599572i
$9$	4.70460	+	7.67247i	0.522733	+	0.852496i
$10$	−13.8800	−	8.91771i	−1.38800	−	0.891771i
$11$	−2.67965	+	0.718009i	−0.243604	+	0.0652736i	−0.378555	−	0.925579i	$-0.623579\pi$
$11$	−2.67965	+	0.718009i	−0.243604	+	0.0652736i	0.134951	+	0.990852i	$0.456912\pi$
$12$	−5.13159	−	10.8474i	−0.427632	−	0.903953i
$13$	−0.984428	+	3.67394i	−0.0757253	+	0.282611i	−0.993397	−	0.114729i	$-0.963400\pi$
$13$	−0.984428	+	3.67394i	−0.0757253	+	0.282611i	0.917672	+	0.397340i	$0.130067\pi$
$14$	17.5087	−	15.9204i	1.25062	−	1.13717i
$15$	−17.2656	+	17.7285i	−1.15104	+	1.18190i
$16$	5.24051	+	15.1174i	0.327532	+	0.944840i
$17$			3.92397i			0.230822i	0.993318	+	0.115411i	$0.0368185\pi$
$17$			3.92397i			0.230822i	−0.993318	+	0.115411i	$0.963181\pi$
$18$	−17.4808	+	4.29223i	−0.971153	+	0.238457i
$19$	21.0377	+	21.0377i	1.10725	+	1.10725i	0.993511	+	0.113736i	$0.0362819\pi$
$19$	21.0377	+	21.0377i	1.10725	+	1.10725i	0.113736	+	0.993511i	$0.463718\pi$
$20$	25.4385	−	21.0143i	1.27192	−	1.05071i
$21$	−18.1535	−	30.5038i	−0.864454	−	1.45256i
$22$	0.263321	−	5.54210i	0.0119691	−	0.251913i
$23$	−9.61304	−	16.6503i	−0.417958	−	0.723925i	0.577776	−	0.816196i	$-0.303921\pi$
$23$	−9.61304	−	16.6503i	−0.417958	−	0.723925i	−0.995734	+	0.0922705i	$0.970588\pi$
$24$	23.7893	−	3.17297i	0.991222	−	0.132207i
$25$	−37.2778	−	21.5224i	−1.49111	−	0.860895i
$26$	−6.39999	−	4.11191i	−0.246153	−	0.158150i
$27$	1.07114	+	26.9787i	0.0396719	+	0.999213i
$28$	19.6718	+	43.0474i	0.702566	+	1.53741i
$29$	9.36387	+	34.9464i	0.322892	+	1.20505i	0.916414	+	0.400231i	$0.131070\pi$
$29$	9.36387	+	34.9464i	0.322892	+	1.20505i	−0.593522	+	0.804818i	$0.702263\pi$
$30$	−23.2645	−	43.6849i	−0.775484	−	1.45616i
$31$	−10.4943	−	18.1766i	−0.338525	−	0.586343i	0.645630	−	0.763650i	$-0.276595\pi$
$31$	−10.4943	−	18.1766i	−0.338525	−	0.586343i	−0.984156	+	0.177307i	$0.943261\pi$
$32$	−31.9905	+	0.781157i	−0.999702	+	0.0244111i
$33$	−8.06673	−	2.04751i	−0.244446	−	0.0620457i
$34$	−7.47559	−	2.38868i	−0.219870	−	0.0702552i
$35$	69.0163	−	69.0163i	1.97189	−	1.97189i
$36$	2.46405	−	35.9156i	0.0684459	−	0.997655i
$37$	7.79895	−	7.79895i	0.210782	−	0.210782i	−0.593817	−	0.804600i	$-0.702380\pi$
$37$	7.79895	−	7.79895i	0.210782	−	0.210782i	0.804600	+	0.593817i	$0.202380\pi$
$38$	−52.8856	+	27.2726i	−1.39173	+	0.717700i
$39$	−7.96110	+	8.17454i	−0.204131	+	0.209604i
$40$	24.5491	+	61.2552i	0.613727	+	1.53138i
$41$	15.2735	+	26.4545i	0.372524	+	0.645231i	0.989953	−	0.141395i	$-0.0451589\pi$
$41$	15.2735	+	26.4545i	0.372524	+	0.645231i	−0.617429	+	0.786627i	$0.711826\pi$
$42$	69.1638	−	16.0156i	1.64676	−	0.381323i
$43$	7.11563	+	26.5559i	0.165480	+	0.617579i	0.997979	+	0.0635521i	$0.0202429\pi$
$43$	7.11563	+	26.5559i	0.165480	+	0.617579i	−0.832499	+	0.554027i	$0.813090\pi$
$44$	10.3980	+	3.87535i	0.236318	+	0.0880760i
$45$	−71.1773	+	21.1050i	−1.58172	+	0.468999i
$46$	37.5724	−	8.17821i	0.816792	−	0.177787i
$47$	71.8427	+	41.4784i	1.52857	+	0.882519i	0.999422	+	0.0339887i	$0.0108210\pi$
$47$	71.8427	+	41.4784i	1.52857	+	0.882519i	0.529146	+	0.848531i	$0.322512\pi$
$48$	−8.43664	+	47.2528i	−0.175763	+	0.984432i
$49$	45.5018	+	78.8114i	0.928608	+	1.60840i
$50$	63.6949	−	57.9168i	1.27390	−	1.15834i
$51$	−5.75060	+	10.2717i	−0.112757	+	0.201407i
$52$	11.7296	−	9.68958i	0.225568	−	0.186338i
$53$	30.4049	+	30.4049i	0.573678	+	0.573678i	0.933154	−	0.359477i	$-0.117045\pi$
$53$	30.4049	+	30.4049i	0.573678	+	0.573678i	−0.359477	+	0.933154i	$0.617045\pi$
$54$	−52.0495	−	14.3824i	−0.963879	−	0.266340i
$55$		−	22.8839i		−	0.416072i
$56$	−93.9849	+	11.2724i	−1.67830	+	0.201292i
$57$	24.2393	+	85.9010i	0.425251	+	1.50703i
$58$	−72.2769	−	3.43408i	−1.24615	−	0.0592083i
$59$	12.0510	−	44.9748i	0.204254	−	0.762285i	−0.785422	−	0.618961i	$-0.787554\pi$
$59$	12.0510	−	44.9748i	0.204254	−	0.762285i	0.989676	−	0.143325i	$-0.0457793\pi$
$60$	97.3865	−	17.7287i	1.62311	−	0.295478i
$61$	−53.0370	+	14.2112i	−0.869459	+	0.232971i	−0.665854	−	0.746082i	$-0.731933\pi$
$61$	−53.0370	+	14.2112i	−0.869459	+	0.232971i	−0.203605	+	0.979053i	$0.565266\pi$
$62$	41.0167	−	8.92791i	0.661560	−	0.143999i
$63$	−2.81687	−	106.454i	−0.0447123	−	1.68974i
$64$	17.9857	−	61.4208i	0.281026	−	0.959700i
$65$	−27.1716	−	15.6876i	−0.418025	−	0.241347i
$66$	8.81126	−	14.1216i	0.133504	−	0.213963i
$67$	15.3702	−	57.3625i	0.229406	−	0.856156i	−0.751185	−	0.660092i	$-0.770517\pi$
$67$	15.3702	−	57.3625i	0.229406	−	0.856156i	0.980591	−	0.196064i	$-0.0628161\pi$
$68$	9.10137	−	12.7877i	0.133844	−	0.188055i
$69$	−0.762914	−	57.6732i	−0.0110567	−	0.835844i
$70$	89.4706	+	173.496i	1.27815	+	2.47852i
$71$	43.4657			0.612193			0.306097	−	0.952000i	$-0.400977\pi$
$71$	43.4657			0.612193			0.306097	+	0.952000i	$0.400977\pi$
$72$	66.9231	+	26.5575i	0.929487	+	0.368854i
$73$		−	64.3392i		−	0.881359i	−0.897665	−	0.440679i	$-0.854738\pi$
$73$		−	64.3392i		−	0.881359i	0.897665	−	0.440679i	$-0.145262\pi$
$74$	10.1103	+	19.6054i	0.136626	+	0.264937i
$75$	−66.0407	−	110.970i	−0.880542	−	1.47960i
$76$	−19.7638	−	117.355i	−0.260050	−	1.54414i
$77$	31.7064	+	8.49571i	0.411772	+	0.110334i
$78$	−10.7272	−	20.1429i	−0.137528	−	0.258242i
$79$	−30.0354	+	52.0228i	−0.380195	+	0.658517i	−0.991090	−	0.133195i	$-0.957476\pi$
$79$	−30.0354	+	52.0228i	−0.380195	+	0.658517i	0.610895	+	0.791712i	$0.290810\pi$
$80$	−131.642	+	9.48017i	−1.64552	+	0.118502i
$81$	−36.7335	+	72.1917i	−0.453500	+	0.891256i
$82$	−59.6962	+	12.9938i	−0.728003	+	0.158461i
$83$	−20.1272	−	75.1158i	−0.242497	−	0.905010i	−0.974625	−	0.223843i	$-0.928140\pi$
$83$	−20.1272	−	75.1158i	−0.242497	−	0.905010i	0.732128	−	0.681167i	$-0.238527\pi$
$84$	−11.5913	+	141.514i	−0.137992	+	1.68469i
$85$	−31.2656	−	8.37760i	−0.367831	−	0.0985600i
$86$	−54.9234	−	2.60957i	−0.638645	−	0.0303438i
$87$	−26.7024	+	105.202i	−0.306924	+	1.20921i
$88$	−13.7126	+	17.4502i	−0.155825	+	0.198298i
$89$	−3.34422			−0.0375755			−0.0187877	−	0.999823i	$-0.505981\pi$
$89$	−3.34422			−0.0375755			−0.0187877	+	0.999823i	$0.505981\pi$
$90$	3.12117	−	148.448i	0.0346797	−	1.64942i
$91$	31.8231	−	31.8231i	0.349704	−	0.349704i
$92$	−7.29143	+	76.5579i	−0.0792547	+	0.832151i
$93$	−0.832851	−	62.9602i	−0.00895538	−	0.676991i
$94$	−122.754	+	111.619i	−1.30590	+	1.18743i
$95$	−212.540	+	122.710i	−2.23727	+	1.29169i
$96$	−84.8859	−	44.8373i	−0.884228	−	0.467055i
$97$	60.3271	−	104.490i	0.621929	−	1.07721i	−0.367198	−	0.930143i	$-0.619683\pi$
$97$	60.3271	−	104.490i	0.621929	−	1.07721i	0.989126	−	0.147069i	$-0.0469839\pi$
$98$	−177.843	+	38.7102i	−1.81472	+	0.395002i
$99$	−18.1156	−	17.1816i	−0.182985	−	0.173551i
$100$	71.5641	+	156.602i	0.715641	+	1.56602i
$101$	−91.2755	+	24.4572i	−0.903718	+	0.242151i	−0.680612	−	0.732644i	$-0.738286\pi$
$101$	−91.2755	+	24.4572i	−0.903718	+	0.242151i	−0.223106	+	0.974794i	$0.571620\pi$
$102$	−16.0682	−	17.2083i	−0.157531	−	0.168709i
$103$	111.972	−	64.6469i	1.08710	−	0.627640i	0.154300	−	0.988024i	$-0.450688\pi$
$103$	111.972	−	64.6469i	1.08710	−	0.627640i	0.932804	+	0.360384i	$0.117354\pi$
$104$	11.3195	+	28.2445i	0.108841	+	0.271582i
$105$	281.807	−	79.5196i	2.68388	−	0.757330i
$106$	−76.4333	+	39.4160i	−0.721069	+	0.371849i
$107$	41.0371	+	41.0371i	0.383524	+	0.383524i	0.872370	−	0.488846i	$-0.162582\pi$
$107$	41.0371	+	41.0371i	0.383524	+	0.383524i	−0.488846	+	0.872370i	$0.662582\pi$
$108$	59.0845	−	90.4047i	0.547079	−	0.837081i
$109$	−55.2845	−	55.2845i	−0.507197	−	0.507197i	0.406468	−	0.913665i	$-0.366760\pi$
$109$	−55.2845	−	55.2845i	−0.507197	−	0.507197i	−0.913665	+	0.406468i	$0.866760\pi$
$110$	43.5964	+	13.9304i	0.396331	+	0.126640i
$111$	31.8446	−	8.98583i	0.286888	−	0.0809535i
$112$	35.7372	−	185.913i	0.319082	−	1.65994i
$113$	−19.1616	+	11.0630i	−0.169572	+	0.0979024i	−0.582384	−	0.812914i	$-0.697880\pi$
$113$	−19.1616	+	11.0630i	−0.169572	+	0.0979024i	0.412812	+	0.910816i	$0.364547\pi$
$114$	−178.406	−	6.11275i	−1.56497	−	0.0536206i
$115$	153.191	−	41.0473i	1.33209	−	0.356933i
$116$	50.5401	−	135.605i	0.435690	−	1.16901i
$117$	−32.8195	+	9.73140i	−0.280509	+	0.0831743i
$118$	78.3460	+	50.3363i	0.663949	+	0.426579i
$119$	23.2148	−	40.2093i	0.195083	−	0.337893i
$120$	−25.5080	+	196.324i	−0.212566	+	1.63603i
$121$	−98.1241	+	56.6520i	−0.810943	+	0.468198i
$122$	5.21179	−	109.692i	0.0427196	−	0.899116i
$123$	1.21214	+	91.6330i	0.00985481	+	0.744984i
$124$	−7.95984	+	83.5760i	−0.0641923	+	0.674000i
$125$	105.253	−	105.253i	0.842020	−	0.842020i
$126$	204.520	+	59.4360i	1.62318	+	0.471714i
$127$	26.5571			0.209111			0.104556	−	0.994519i	$-0.466658\pi$
$127$	26.5571			0.209111			0.104556	+	0.994519i	$0.466658\pi$
$128$	106.065	+	71.6539i	0.828630	+	0.559796i
$129$	−20.2913	+	79.9431i	−0.157297	+	0.619714i
$130$	46.4269	−	42.2153i	0.357130	−	0.324733i
$131$	84.7119	+	22.6985i	0.646656	+	0.173271i	0.567216	−	0.823569i	$-0.308020\pi$
$131$	84.7119	+	22.6985i	0.646656	+	0.173271i	0.0794393	+	0.996840i	$0.474687\pi$
$132$	21.5394	+	25.3828i	0.163177	+	0.192294i
$133$	−91.1127	−	340.037i	−0.685058	−	2.55667i
$134$	99.9252	+	64.2007i	0.745711	+	0.479110i
$135$	−217.249	−	49.0643i	−1.60925	−	0.363440i
$136$	18.8216	+	25.1235i	0.138394	+	0.184732i
$137$	−4.74109	+	8.21181i	−0.0346065	+	0.0599402i	−0.882810	−	0.469730i	$-0.844351\pi$
$137$	−4.74109	+	8.21181i	−0.0346065	+	0.0599402i	0.848203	+	0.529671i	$0.177684\pi$
$138$	110.338	+	33.6545i	0.799552	+	0.243873i
$139$	−138.057	−	36.9923i	−0.993217	−	0.266132i	−0.274616	−	0.961554i	$-0.588551\pi$
$139$	−138.057	−	36.9923i	−0.993217	−	0.266132i	−0.718601	+	0.695422i	$0.755217\pi$
$140$	−384.994	+	64.8371i	−2.74996	+	0.463122i
$141$	127.275	+	213.863i	0.902661	+	1.51676i
$142$	−26.4593	+	82.8069i	−0.186333	+	0.583147i
$143$		−	10.5517i		−	0.0737880i
$144$	−91.3336	+	111.329i	−0.634261	+	0.773119i
$145$	−298.439			−2.05820
$146$	122.573	+	39.1658i	0.839542	+	0.268259i
$147$	3.61113	+	272.987i	0.0245655	+	1.85705i
$148$	−43.5049	+	7.32668i	−0.293952	+	0.0495046i
$149$	29.1551	−	108.808i	0.195672	−	0.730257i	−0.796420	−	0.604744i	$-0.793276\pi$
$149$	29.1551	−	108.808i	0.195672	−	0.730257i	0.992092	−	0.125513i	$-0.0400578\pi$
$150$	251.611	−	58.2630i	1.67740	−	0.388420i
$151$	−22.4488	−	12.9608i	−0.148667	−	0.0858331i	0.423821	−	0.905746i	$-0.360689\pi$
$151$	−22.4488	−	12.9608i	−0.148667	−	0.0858331i	−0.572488	+	0.819913i	$0.694022\pi$
$152$	235.604	+	33.7862i	1.55003	+	0.222278i
$153$	−30.1066	+	18.4607i	−0.196775	+	0.120658i
$154$	−35.4862	+	55.2325i	−0.230430	+	0.358652i
$155$	167.234	−	44.8101i	1.07893	−	0.289097i
$156$	44.9045	−	8.17461i	0.287849	−	0.0524013i
$157$	51.2279	−	191.185i	0.326293	−	1.21774i	−0.586714	−	0.809795i	$-0.699579\pi$
$157$	51.2279	−	191.185i	0.326293	−	1.21774i	0.913006	−	0.407946i	$-0.133755\pi$
$158$	−80.8254	−	88.8890i	−0.511553	−	0.562589i
$159$	35.0321	+	124.149i	0.220328	+	0.780812i
$160$	62.0748	−	256.563i	0.387968	−	1.60352i
$161$			227.489i			1.41298i
$162$	−115.172	−	113.927i	−0.710938	−	0.703255i
$163$	−50.6593	−	50.6593i	−0.310793	−	0.310793i	0.534424	−	0.845217i	$-0.320529\pi$
$163$	−50.6593	−	50.6593i	−0.310793	−	0.310793i	−0.845217	+	0.534424i	$0.820529\pi$
$164$	11.5849	−	121.638i	0.0706394	−	0.741693i
$165$	33.5365	−	59.9031i	0.203252	−	0.363049i
$166$	155.356	+	7.38141i	0.935880	+	0.0444663i
$167$	−59.5750	−	103.187i	−0.356736	−	0.617885i	0.630677	−	0.776045i	$-0.282777\pi$
$167$	−59.5750	−	103.187i	−0.356736	−	0.617885i	−0.987414	+	0.158160i	$0.949444\pi$
$168$	−262.543	−	108.228i	−1.56276	−	0.644212i
$169$	133.830	+	77.2665i	0.791891	+	0.457198i
$170$	34.9928	−	54.4646i	0.205840	−	0.320380i
$171$	−62.4372	+	260.385i	−0.365130	+	1.52272i
$172$	38.4056	−	103.047i	0.223288	−	0.599108i
$173$	69.4530	+	259.202i	0.401463	+	1.49828i	0.810487	+	0.585756i	$0.199202\pi$
$173$	69.4530	+	259.202i	0.401463	+	1.49828i	−0.409025	+	0.912523i	$0.634131\pi$
$174$	−184.166	−	114.911i	−1.05842	−	0.660410i
$175$	254.659	+	441.083i	1.45520	+	2.52047i
$176$	−24.8972	−	36.7467i	−0.141461	−	0.208788i
$177$	97.4565	−	100.069i	0.550602	−	0.565364i
$178$	2.03576	−	6.37110i	0.0114368	−	0.0357927i
$179$	−159.921	+	159.921i	−0.893415	+	0.893415i	−0.994843	−	0.101428i	$-0.967659\pi$
$179$	−159.921	+	159.921i	−0.893415	+	0.893415i	0.101428	+	0.994843i	$0.467659\pi$
$180$	280.909	+	96.3122i	1.56061	+	0.535068i
$181$	65.6137	−	65.6137i	0.362507	−	0.362507i	−0.502228	−	0.864735i	$-0.667486\pi$
$181$	65.6137	−	65.6137i	0.362507	−	0.362507i	0.864735	+	0.502228i	$0.167486\pi$
$182$	41.2545	+	79.9984i	0.226673	+	0.439552i
$183$	−159.661	−	40.5254i	−0.872465	−	0.221450i
$184$	−141.413	−	60.4948i	−0.768546	−	0.328776i
$185$	45.4902	+	78.7914i	0.245893	+	0.425899i
$186$	120.453	+	36.7396i	0.647596	+	0.197525i
$187$	−2.81745	−	10.5149i	−0.0150666	−	0.0562292i
$188$	−137.920	−	301.807i	−0.733618	−	1.60536i
$189$	148.634	−	282.790i	0.786425	−	1.49625i
$190$	−104.395	−	479.611i	−0.549445	−	2.52427i
$191$	−168.790	−	97.4510i	−0.883718	−	0.510215i	−0.0118353	−	0.999930i	$-0.503767\pi$
$191$	−168.790	−	97.4510i	−0.883718	−	0.510215i	−0.871882	+	0.489715i	$0.837101\pi$
$192$	137.093	−	134.423i	0.714028	−	0.700117i
$193$	96.8155	+	167.689i	0.501635	+	0.868857i	0.999998	+	0.00188884i	$0.000601238\pi$
$193$	96.8155	+	167.689i	0.501635	+	0.868857i	−0.498363	+	0.866968i	$0.666065\pi$
$194$	162.340	+	178.536i	0.836806	+	0.920291i
$195$	−48.1367	−	80.8853i	−0.246855	−	0.414796i
$196$	34.5128	−	362.375i	0.176086	−	1.84885i
$197$	96.9581	+	96.9581i	0.492173	+	0.492173i	0.908990	−	0.416817i	$-0.136854\pi$
$197$	96.9581	+	96.9581i	0.492173	+	0.492173i	−0.416817	+	0.908990i	$0.636854\pi$
$198$	43.7604	−	24.0530i	0.221012	−	0.121480i
$199$			371.480i			1.86673i	0.358923	+	0.933367i	$0.383144\pi$
$199$			371.480i			1.86673i	−0.358923	+	0.933367i	$0.616856\pi$
$200$	−341.907	+	41.0077i	−1.70954	+	0.205039i
$201$	124.299	−	127.632i	0.618405	−	0.634985i
$202$	8.96937	−	188.778i	0.0444028	−	0.934544i
$203$	110.796	−	413.497i	0.545794	−	2.03693i
$204$	42.5650	−	20.1362i	0.208652	−	0.0987069i
$205$	−243.394	+	65.2172i	−1.18729	+	0.318133i
$206$	54.9978	+	252.671i	0.266979	+	1.22656i
$207$	82.5232	−	152.089i	0.398663	−	0.734728i
$208$	−60.6994	+	4.37126i	−0.291824	+	0.0210157i
$209$	−71.4789	−	41.2683i	−0.342004	−	0.197456i
$210$	−20.0535	+	585.279i	−0.0954928	+	2.78705i
$211$	52.4918	−	195.902i	0.248776	−	0.928446i	−0.722671	−	0.691192i	$-0.757086\pi$
$211$	52.4918	−	195.902i	0.248776	−	0.928446i	0.971448	−	0.237254i	$-0.0762475\pi$
$212$	−28.5638	−	169.608i	−0.134735	−	0.800037i
$213$	113.780	+	63.6992i	0.534177	+	0.299057i
$214$	−103.161	+	53.1992i	−0.482061	+	0.248594i
$215$	−226.785			−1.05481
$216$	136.264	+	167.595i	0.630851	+	0.775904i
$217$			248.343i			1.14444i
$218$	138.977	−	71.6691i	0.637508	−	0.328757i
$219$	94.2893	−	168.420i	0.430545	−	0.769041i
$220$	−53.0777	+	74.5759i	−0.241262	+	0.338981i
$221$	−14.4164	−	3.86287i	−0.0652327	−	0.0174791i
$222$	−2.26607	+	66.1374i	−0.0102075	+	0.297916i
$223$	95.6087	−	165.599i	0.428739	−	0.742597i	−0.568023	−	0.823013i	$-0.692291\pi$
$223$	95.6087	−	165.599i	0.428739	−	0.742597i	0.996761	+	0.0804156i	$0.0256248\pi$
$224$	332.430	+	181.256i	1.48406	+	0.809179i
$225$	−10.2475	−	387.267i	−0.0455444	−	1.72119i
$226$	−9.41173	−	43.2395i	−0.0416448	−	0.191325i
$227$	55.3668	+	206.632i	0.243906	+	0.910271i	0.973930	+	0.226849i	$0.0728424\pi$
$227$	55.3668	+	206.632i	0.243906	+	0.910271i	−0.730024	+	0.683422i	$0.760491\pi$
$228$	120.248	−	336.162i	0.527405	−	1.47439i
$229$	418.373	+	112.103i	1.82696	+	0.489532i	0.997603	−	0.0691903i	$-0.0220416\pi$
$229$	418.373	+	112.103i	1.82696	+	0.489532i	0.829355	+	0.558722i	$0.188708\pi$
$230$	−15.0536	+	316.832i	−0.0654503	+	1.37753i
$231$	70.5470	+	68.7050i	0.305398	+	0.297424i
$232$	227.576	+	178.832i	0.980931	+	0.770828i
$233$	−119.753			−0.513960			−0.256980	−	0.966417i	$-0.582727\pi$
$233$	−119.753			−0.513960			−0.256980	+	0.966417i	$0.582727\pi$
$234$	1.43916	−	68.4486i	0.00615024	−	0.292515i
$235$	−483.876	+	483.876i	−2.05905	+	2.05905i
$236$	−143.588	+	118.616i	−0.608426	+	0.502610i
$237$	−154.863	+	92.1626i	−0.653430	+	0.388872i
$238$	62.4712	+	68.7037i	0.262484	+	0.288671i
$239$	−156.858	+	90.5618i	−0.656308	+	0.378920i	−0.790869	−	0.611986i	$-0.790371\pi$
$239$	−156.858	+	90.5618i	−0.656308	+	0.378920i	0.134561	+	0.990905i	$0.457038\pi$
$240$	−358.491	−	168.106i	−1.49371	−	0.700440i
$241$	88.2232	−	152.807i	0.366071	−	0.634054i	−0.622876	−	0.782320i	$-0.714036\pi$
$241$	88.2232	−	152.807i	0.366071	−	0.634054i	0.988947	+	0.148266i	$0.0473693\pi$
$242$	−48.1962	−	221.423i	−0.199158	−	0.914972i
$243$	−201.954	+	135.142i	−0.831088	+	0.556142i
$244$	205.803	+	76.7030i	0.843454	+	0.314356i
$245$	−725.103	+	194.291i	−2.95960	+	0.793023i
$246$	−175.309	−	53.4713i	−0.712637	−	0.217363i
$247$	−98.0013	+	56.5811i	−0.396766	+	0.229073i
$248$	−154.376	−	66.0404i	−0.622483	−	0.266292i
$249$	57.3957	−	226.126i	0.230505	−	0.908138i
$250$	136.446	+	264.589i	0.545784	+	1.05836i
$251$	−140.535	−	140.535i	−0.559899	−	0.559899i	0.369380	−	0.929279i	$-0.379570\pi$
$251$	−140.535	−	140.535i	−0.559899	−	0.559899i	−0.929279	+	0.369380i	$0.879570\pi$
$252$	−237.731	+	353.452i	−0.943379	+	1.40259i
$253$	37.7146	+	37.7146i	0.149070	+	0.149070i
$254$	−16.1664	+	50.5942i	−0.0636471	+	0.199190i
$255$	−69.5663	−	67.7498i	−0.272809	−	0.265686i
$256$	−201.074	+	158.446i	−0.785446	+	0.618930i
$257$	135.684	−	78.3373i	0.527954	−	0.304814i	−0.212229	−	0.977220i	$-0.568072\pi$
$257$	135.684	−	78.3373i	0.527954	−	0.304814i	0.740183	+	0.672406i	$0.234739\pi$
$258$	−139.948	−	87.3215i	−0.542435	−	0.338456i
$259$	−126.056	+	33.7767i	−0.486704	+	0.130412i
$260$	52.1628	+	114.146i	0.200626	+	0.439025i
$261$	−224.072	+	236.253i	−0.858514	+	0.905183i
$262$	−94.8105	+	147.568i	−0.361872	+	0.563236i
$263$	174.727	−	302.635i	0.664360	−	1.15070i	−0.315099	−	0.949059i	$-0.602038\pi$
$263$	174.727	−	302.635i	0.664360	−	1.15070i	0.979458	−	0.201646i	$-0.0646291\pi$
$264$	−61.4688	+	25.5834i	−0.232836	+	0.0969068i
$265$	−307.176	+	177.348i	−1.15915	+	0.669237i
$266$	703.272	+	33.4145i	2.64388	+	0.125618i
$267$	−8.75412	−	4.90096i	−0.0327870	−	0.0183557i
$268$	−183.138	+	151.287i	−0.683350	+	0.564503i
$269$	163.048	−	163.048i	0.606127	−	0.606127i	−0.335805	−	0.941932i	$-0.609008\pi$
$269$	163.048	−	163.048i	0.606127	−	0.606127i	0.941932	+	0.335805i	$0.109008\pi$
$270$	225.721	−	384.016i	0.836004	−	1.42228i
$271$	82.6056			0.304818			0.152409	−	0.988318i	$-0.451297\pi$
$271$	82.6056			0.304818			0.152409	+	0.988318i	$0.451297\pi$
$272$	−59.3204	+	20.5636i	−0.218090	+	0.0756015i
$273$	129.940	−	36.6661i	0.475970	−	0.134308i
$274$	−12.7583	−	14.0311i	−0.0465631	−	0.0512085i
$275$	115.345	+	30.9065i	0.419435	+	0.112387i
$276$	−131.283	+	189.719i	−0.475662	+	0.687388i
$277$	110.166	+	411.143i	0.397709	+	1.48427i	0.817116	+	0.576473i	$0.195572\pi$
$277$	110.166	+	411.143i	0.397709	+	1.48427i	−0.419407	+	0.907799i	$0.637762\pi$
$278$	154.515	−	240.495i	0.555810	−	0.865091i
$279$	90.0882	−	166.031i	0.322897	−	0.595092i
$280$	110.839	−	772.924i	0.395854	−	2.76044i
$281$	87.7675	−	152.018i	0.312340	−	0.540989i	−0.666528	−	0.745480i	$-0.732221\pi$
$281$	87.7675	−	152.018i	0.312340	−	0.540989i	0.978868	+	0.204491i	$0.0655538\pi$
$282$	−484.910	+	112.286i	−1.71954	+	0.398177i
$283$	193.558	+	51.8638i	0.683952	+	0.183264i	0.584031	−	0.811731i	$-0.301474\pi$
$283$	193.558	+	51.8638i	0.683952	+	0.183264i	0.0999205	+	0.994995i	$0.468141\pi$
$284$	−141.649	−	100.816i	−0.498765	−	0.354985i
$285$	−736.196	+	9.73857i	−2.58315	+	0.0341704i
$286$	20.1021	+	6.42322i	0.0702870	+	0.0224588i
$287$		−	361.442i		−	1.25938i
$288$	−156.496	−	241.771i	−0.543388	−	0.839482i
$289$	273.602			0.946721
$290$	181.672	−	568.559i	0.626454	−	1.96055i
$291$	311.047	−	185.112i	1.06889	−	0.636122i
$292$	−149.230	+	209.673i	−0.511062	+	0.718059i
$293$	−79.0309	+	294.947i	−0.269730	+	1.00665i	0.689561	+	0.724228i	$0.257803\pi$
$293$	−79.0309	+	294.947i	−0.269730	+	1.00665i	−0.959291	+	0.282419i	$0.908863\pi$
$294$	−522.268	−	159.298i	−1.77642	−	0.541831i
$295$	332.624	+	192.041i	1.12754	+	0.650985i
$296$	12.5250	−	87.3415i	0.0423142	−	0.295073i
$297$	−22.2413	−	71.5244i	−0.0748864	−	0.240823i
$298$	189.544	+	121.779i	0.636053	+	0.408656i
$299$	70.6354	−	18.9267i	0.236239	−	0.0633000i
$300$	−42.1680	+	514.813i	−0.140560	+	1.71604i
$301$	84.1944	−	314.218i	0.279716	−	1.04391i
$302$	38.3572	−	34.8776i	0.127011	−	0.115489i
$303$	−274.773	−	69.7433i	−0.906842	−	0.230176i
$304$	−207.788	+	428.284i	−0.683513	+	1.40883i
$305$		−	452.932i		−	1.48502i
$306$	−16.8426	−	68.5940i	−0.0550412	−	0.224163i
$307$	−199.964	−	199.964i	−0.651348	−	0.651348i	0.301969	−	0.953318i	$-0.402356\pi$
$307$	−199.964	−	199.964i	−0.651348	−	0.651348i	−0.953318	+	0.301969i	$0.902356\pi$
$308$	−83.6220	−	101.227i	−0.271500	−	0.328660i
$309$	387.847	−	5.13053i	1.25517	−	0.0166037i
$310$	−16.4335	+	345.876i	−0.0530114	+	1.11573i
$311$	250.280	+	433.498i	0.804760	+	1.39389i	0.916453	+	0.400142i	$0.131039\pi$
$311$	250.280	+	433.498i	0.804760	+	1.39389i	−0.111693	+	0.993743i	$0.535627\pi$
$312$	−11.7616	+	90.5241i	−0.0376974	+	0.290141i
$313$	−449.335	−	259.424i	−1.43558	−	0.828830i	−0.438038	−	0.898956i	$-0.644327\pi$
$313$	−449.335	−	259.424i	−1.43558	−	0.828830i	−0.997538	+	0.0701259i	$0.977660\pi$
$314$	333.044	+	213.977i	1.06065	+	0.681454i
$315$	854.220	+	204.832i	2.71181	+	0.650259i
$316$	218.545	−	99.8709i	0.691597	−	0.316047i
$317$	86.1147	+	321.384i	0.271655	+	1.01383i	0.958050	+	0.286602i	$0.0925257\pi$
$317$	86.1147	+	321.384i	0.271655	+	1.01383i	−0.686395	+	0.727229i	$0.740808\pi$
$318$	−257.843	−	8.83450i	−0.810827	−	0.0277815i
$319$	−50.1837	−	86.9207i	−0.157316	−	0.272479i
$320$	450.993	+	274.439i	1.40935	+	0.857622i
$321$	47.2824	+	167.562i	0.147297	+	0.522001i
$322$	−433.391	−	138.481i	−1.34594	−	0.430067i
$323$	−82.5514	+	82.5514i	−0.255577	+	0.255577i
$324$	287.153	−	150.063i	0.886276	−	0.463157i
$325$	115.769	−	115.769i	0.356213	−	0.356213i
$326$	127.350	−	65.6731i	0.390643	−	0.201451i
$327$	−63.6980	−	225.737i	−0.194795	−	0.690328i
$328$	224.681	+	96.1160i	0.685002	+	0.293037i
$329$	−490.785	−	850.065i	−1.49175	−	2.58379i
$330$	93.7068	+	100.356i	0.283960	+	0.304109i
$331$	−33.7304	−	125.884i	−0.101905	−	0.380313i	0.896071	−	0.443911i	$-0.146409\pi$
$331$	−33.7304	−	125.884i	−0.101905	−	0.380313i	−0.997976	+	0.0635976i	$0.979743\pi$
$332$	−108.634	+	291.477i	−0.327210	+	0.877942i
$333$	96.5281	+	23.1463i	0.289874	+	0.0695083i
$334$	232.848	−	50.6829i	0.697149	−	0.151745i
$335$	424.240	+	244.935i	1.26639	+	0.731150i
$336$	366.006	−	434.290i	1.08930	−	1.29253i
$337$	−53.1122	−	91.9930i	−0.157603	−	0.272976i	0.776401	−	0.630239i	$-0.217043\pi$
$337$	−53.1122	−	91.9930i	−0.157603	−	0.272976i	−0.934004	+	0.357263i	$0.883710\pi$
$338$	−228.668	+	207.925i	−0.676534	+	0.615162i
$339$	−66.3721	+	0.877984i	−0.195788	+	0.00258992i
$340$	82.4595	+	99.8199i	0.242528	+	0.293588i
$341$	41.1719	+	41.1719i	0.120739	+	0.120739i
$342$	−458.054	−	277.456i	−1.33934	−	0.811275i
$343$		−	496.999i		−	1.44898i
$344$	172.936	+	135.895i	0.502720	+	0.395044i
$345$	461.160	+	117.052i	1.33670	+	0.339282i
$346$	−536.087	−	25.4710i	−1.54938	−	0.0736157i
$347$	−70.0119	+	261.288i	−0.201763	+	0.752991i	0.788648	+	0.614845i	$0.210781\pi$
$347$	−70.0119	+	261.288i	−0.201763	+	0.752991i	−0.990412	+	0.138147i	$0.955885\pi$
$348$	331.027	−	280.905i	0.951228	−	0.807197i
$349$	363.357	−	97.3612i	1.04114	−	0.278972i	0.302553	−	0.953133i	$-0.402161\pi$
$349$	363.357	−	97.3612i	1.04114	−	0.278972i	0.738585	+	0.674161i	$0.235495\pi$
$350$	−995.332	+	216.649i	−2.84380	+	0.618997i
$351$	−100.173	−	22.6233i	−0.285392	−	0.0644539i
$352$	85.1623	−	25.0627i	0.241938	−	0.0712008i
$353$	−9.07351	−	5.23859i	−0.0257040	−	0.0148402i	0.487093	−	0.873350i	$-0.338057\pi$
$353$	−9.07351	−	5.23859i	−0.0257040	−	0.0148402i	−0.512797	+	0.858510i	$0.671391\pi$
$354$	131.317	+	246.581i	0.370953	+	0.696557i
$355$	−92.7984	+	346.328i	−0.261404	+	0.975573i
$356$	10.8984	+	7.75667i	0.0306134	+	0.0217884i
$357$	119.696	−	71.2340i	0.335283	−	0.199535i
$358$	−207.317	−	402.018i	−0.579098	−	1.12295i
$359$	−74.5123			−0.207555			−0.103778	−	0.994601i	$-0.533093\pi$
$359$	−74.5123			−0.207555			−0.103778	+	0.994601i	$0.533093\pi$
$360$	−354.485	+	476.533i	−0.984682	+	1.32370i
$361$			524.170i			1.45199i
$362$	85.0595	+	164.943i	0.234971	+	0.455643i
$363$	−339.882	+	4.49604i	−0.936314	+	0.0123858i
$364$	−177.519	+	29.8961i	−0.487689	+	0.0821321i
$365$	512.645	+	137.363i	1.40451	+	0.376336i
$366$	174.397	−	279.502i	0.476495	−	0.763667i
$367$	101.461	−	175.736i	0.276461	−	0.478845i	−0.694042	−	0.719935i	$-0.744172\pi$
$367$	101.461	−	175.736i	0.276461	−	0.478845i	0.970503	+	0.241090i	$0.0775049\pi$
$368$	201.332	−	232.581i	0.547099	−	0.632012i
$369$	−131.116	+	241.643i	−0.355327	+	0.654860i
$370$	−177.798	+	38.7004i	−0.480535	+	0.104596i
$371$	−131.681	−	491.442i	−0.354937	−	1.32464i
$372$	−143.317	+	207.111i	−0.385262	+	0.556750i
$373$	−100.490	−	26.9263i	−0.269411	−	0.0721886i	0.121584	−	0.992581i	$-0.461203\pi$
$373$	−100.490	−	26.9263i	−0.269411	−	0.0721886i	−0.390996	+	0.920393i	$0.627869\pi$
$374$	21.7470	+	1.03326i	0.0581472	+	0.00276274i
$375$	429.766	−	121.270i	1.14604	−	0.323388i
$376$	658.932	−	79.0311i	1.75248	−	0.210189i
$377$	−137.609			−0.365011
$378$	448.267	+	455.310i	1.18589	+	1.20452i
$379$	−242.350	+	242.350i	−0.639447	+	0.639447i	−0.950419	−	0.310972i	$-0.899345\pi$
$379$	−242.350	+	242.350i	−0.639447	+	0.639447i	0.310972	+	0.950419i	$0.399345\pi$
$380$	977.259	+	93.0749i	2.57173	+	0.244934i
$381$	69.5183	+	38.9196i	0.182463	+	0.102151i
$382$	288.404	−	262.241i	0.754984	−	0.686495i
$383$	−400.241	+	231.079i	−1.04502	+	0.603340i	−0.921250	−	0.388971i	$-0.872831\pi$
$383$	−400.241	+	231.079i	−1.04502	+	0.603340i	−0.123766	+	0.992311i	$0.539497\pi$
$384$	172.635	+	343.006i	0.449571	+	0.893244i
$385$	−135.385	+	234.494i	−0.351649	+	0.609074i
$386$	−378.402	+	82.3649i	−0.980316	+	0.213381i
$387$	−170.273	+	179.529i	−0.439982	+	0.463900i
$388$	−438.954	+	200.594i	−1.13133	+	0.516995i
$389$	657.901	−	176.284i	1.69126	−	0.453172i	0.720547	−	0.693406i	$-0.243891\pi$
$389$	657.901	−	176.284i	1.69126	−	0.453172i	0.970715	+	0.240234i	$0.0772241\pi$
$390$	183.398	−	42.4677i	0.470251	−	0.108891i
$391$	65.3353	−	37.7213i	0.167098	−	0.0964740i
$392$	669.353	+	286.342i	1.70753	+	0.730465i
$393$	188.485	+	183.563i	0.479605	+	0.467082i
$394$	−243.738	+	125.694i	−0.618624	+	0.319019i
$395$	−350.385	−	350.385i	−0.887051	−	0.887051i
$396$	19.1849	+	98.0102i	0.0484468	+	0.247501i
$397$	−159.582	−	159.582i	−0.401971	−	0.401971i	0.476956	−	0.878927i	$-0.341740\pi$
$397$	−159.582	−	159.582i	−0.401971	−	0.401971i	−0.878927	+	0.476956i	$0.841740\pi$
$398$	−707.710	−	226.135i	−1.77817	−	0.568177i
$399$	259.821	−	1023.64i	0.651181	−	2.56551i
$400$	130.008	−	676.334i	0.325021	−	1.69083i
$401$	−56.8821	+	32.8409i	−0.141851	+	0.0818975i	−0.569246	−	0.822167i	$-0.692765\pi$
$401$	−56.8821	+	32.8409i	−0.141851	+	0.0818975i	0.427395	+	0.904065i	$0.359431\pi$
$402$	167.487	+	314.498i	0.416634	+	0.782334i
$403$	77.1106	−	20.6617i	0.191341	−	0.0512698i
$404$	354.182	+	132.004i	0.876688	+	0.326743i
$405$	−496.787	−	446.815i	−1.22664	−	1.10325i
$406$	720.310	+	462.790i	1.77416	+	1.13988i
$407$	−15.2987	+	26.4981i	−0.0375890	+	0.0651060i
$408$	12.4507	+	93.3487i	0.0305163	+	0.228796i
$409$	−335.140	+	193.493i	−0.819412	+	0.473088i	−0.850214	−	0.526438i	$-0.823527\pi$
$409$	−335.140	+	193.493i	−0.819412	+	0.473088i	0.0308016	+	0.999526i	$0.490194\pi$
$410$	23.9176	−	503.392i	0.0583356	−	1.22779i
$411$	−24.4451	+	14.5479i	−0.0594772	+	0.0353963i
$412$	−514.845	−	49.0343i	−1.24962	−	0.119015i
$413$	−389.565	+	389.565i	−0.943257	+	0.943257i
$414$	239.510	+	249.798i	0.578527	+	0.603377i
$415$	641.483			1.54574
$416$	28.6224	−	118.300i	0.0688039	−	0.284375i
$417$	−307.178	−	299.158i	−0.736639	−	0.717405i
$418$	122.133	−	111.053i	0.292183	−	0.265678i
$419$	178.007	+	47.6969i	0.424838	+	0.113835i	0.464902	−	0.885362i	$-0.346090\pi$
$419$	178.007	+	47.6969i	0.424838	+	0.113835i	−0.0400640	+	0.999197i	$0.512756\pi$
$420$	−1102.81	−	394.487i	−2.62575	−	0.939254i
$421$	109.443	+	408.445i	0.259959	+	0.970178i	0.965264	+	0.261275i	$0.0841430\pi$
$421$	109.443	+	408.445i	0.259959	+	0.970178i	−0.705306	+	0.708903i	$0.749190\pi$
$422$	341.261	+	219.256i	0.808675	+	0.519564i
$423$	19.7492	+	746.350i	0.0466885	+	1.76442i
$424$	340.509	+	48.8298i	0.803087	+	0.115165i
$425$	84.4532	−	146.277i	0.198713	−	0.344182i
$426$	−190.616	+	177.987i	−0.447456	+	0.417809i
$427$	627.551	+	168.152i	1.46967	+	0.393798i
$428$	−38.5521	−	228.917i	−0.0900750	−	0.534854i
$429$	15.4635	−	27.6210i	0.0360455	−	0.0643847i
$430$	138.053	−	432.050i	0.321053	−	1.00477i
$431$			37.0540i			0.0859722i	0.999076	+	0.0429861i	$0.0136871\pi$
$431$			37.0540i			0.0859722i	−0.999076	+	0.0429861i	$0.986313\pi$
$432$	−402.236	+	157.575i	−0.931103	+	0.364758i
$433$	−250.255			−0.577956			−0.288978	−	0.957336i	$-0.593315\pi$
$433$	−250.255			−0.577956			−0.288978	+	0.957336i	$0.593315\pi$
$434$	−473.120	−	151.176i	−1.09014	−	0.348332i
$435$	−781.222	−	437.364i	−1.79591	−	1.00543i
$436$	51.9368	+	308.394i	0.119121	+	0.707325i
$437$	148.047	−	552.520i	0.338781	−	1.26435i
$438$	263.461	+	282.155i	0.601509	+	0.644190i
$439$	119.005	+	68.7077i	0.271082	+	0.156510i	0.629379	−	0.777098i	$-0.283309\pi$
$439$	119.005	+	68.7077i	0.271082	+	0.156510i	−0.358297	+	0.933608i	$0.616642\pi$
$440$	−109.765	−	146.516i	−0.249465	−	0.332991i
$441$	−390.611	+	719.887i	−0.885738	+	1.63240i
$442$	16.1350	−	25.1134i	0.0365046	−	0.0568176i
$443$	175.905	−	47.1336i	0.397077	−	0.106396i	−0.0547544	−	0.998500i	$-0.517438\pi$
$443$	175.905	−	47.1336i	0.397077	−	0.106396i	0.451831	+	0.892103i	$0.350771\pi$
$444$	−124.620	−	44.5776i	−0.280675	−	0.100400i
$445$	7.13983	−	26.6462i	0.0160446	−	0.0598791i
$446$	257.284	+	282.952i	0.576869	+	0.634421i
$447$	235.778	−	242.099i	0.527468	−	0.541610i
$448$	−547.676	+	522.978i	−1.22249	+	1.16736i
$449$			884.249i			1.96937i	0.174330	+	0.984687i	$0.444224\pi$
$449$			884.249i			1.96937i	−0.174330	+	0.984687i	$0.555776\pi$
$450$	744.023	+	216.222i	1.65339	+	0.480493i
$451$	−59.9222	−	59.9222i	−0.132865	−	0.132865i
$452$	88.1051	+	8.39120i	0.194923	+	0.0185646i
$453$	−39.7698	−	66.8261i	−0.0877921	−	0.147519i
$454$	−427.359	−	20.3051i	−0.941320	−	0.0447248i
$455$	185.620	+	321.503i	0.407956	+	0.706601i
$456$	567.225	+	433.721i	1.24391	+	0.951142i
$457$	183.097	+	105.711i	0.400651	+	0.231316i	0.686765	−	0.726880i	$-0.259030\pi$
$457$	183.097	+	105.711i	0.400651	+	0.231316i	−0.286114	+	0.958196i	$0.592364\pi$
$458$	−468.248	+	728.805i	−1.02238	+	1.59128i
$459$	−105.864	+	4.20313i	−0.230640	+	0.00915715i
$460$	−594.435	−	221.546i	−1.29225	−	0.481623i
$461$	−154.548	−	576.780i	−0.335245	−	1.25115i	−0.903604	−	0.428369i	$-0.859088\pi$
$461$	−154.548	−	576.780i	−0.335245	−	1.25115i	0.568359	−	0.822781i	$-0.307578\pi$
$462$	−173.835	+	92.5763i	−0.376267	+	0.200382i
$463$	−173.294	−	300.154i	−0.374285	−	0.648280i	0.615935	−	0.787797i	$-0.288778\pi$
$463$	−173.294	−	300.154i	−0.374285	−	0.648280i	−0.990220	+	0.139517i	$0.955445\pi$
$464$	−479.229	+	324.695i	−1.03282	+	0.699773i
$465$	503.435	+	127.783i	1.08266	+	0.274801i
$466$	72.8981	−	228.142i	0.156434	−	0.489574i
$467$	471.632	−	471.632i	1.00992	−	1.00992i	0.00996903	−	0.999950i	$-0.496827\pi$
$467$	471.632	−	471.632i	1.00992	−	1.00992i	0.999950	−	0.00996903i	$-0.00317329\pi$
$468$	129.526	+	44.4091i	0.276765	+	0.0948912i
$469$	−496.865	+	496.865i	−1.05941	+	1.05941i
$470$	−627.282	−	1216.39i	−1.33464	−	2.58807i
$471$	414.282	−	425.389i	0.879579	−	0.903161i
$472$	−138.568	−	345.758i	−0.293577	−	0.732537i
$473$	−38.1348	−	66.0513i	−0.0806232	−	0.139643i
$474$	−81.3086	−	351.134i	−0.171537	−	0.740788i
$475$	−331.459	−	1237.02i	−0.697808	−	2.60425i
$476$	−168.917	+	77.1918i	−0.354867	+	0.162168i
$477$	−90.2379	+	376.324i	−0.189178	+	0.788938i
$478$	−77.0447	−	353.959i	−0.161181	−	0.740501i
$479$	−532.290	−	307.318i	−1.11125	−	0.641582i	−0.172100	−	0.985080i	$-0.555055\pi$
$479$	−532.290	−	307.318i	−1.11125	−	0.641582i	−0.939154	+	0.343497i	$0.888388\pi$
$480$	538.486	−	580.631i	1.12185	−	1.20965i
$481$	20.9753	+	36.3303i	0.0436078	+	0.0755309i
$482$	237.409	+	261.094i	0.492550	+	0.541689i
$483$	−333.386	+	595.496i	−0.690240	+	1.23291i
$484$	451.174	+	42.9702i	0.932178	+	0.0887813i
$485$	703.760	+	703.760i	1.45105	+	1.45105i
$486$	−134.523	−	467.011i	−0.276797	−	0.960928i
$487$		−	614.270i		−	1.26134i	−0.776053	−	0.630668i	$-0.782781\pi$
$487$		−	614.270i		−	1.26134i	0.776053	−	0.630668i	$-0.217219\pi$
$488$	−271.408	+	345.385i	−0.556163	+	0.707755i
$489$	−58.3689	−	206.852i	−0.119364	−	0.423009i
$490$	71.2537	−	1499.67i	0.145416	−	3.06055i
$491$	−155.929	+	581.936i	−0.317575	+	1.18521i	0.603994	+	0.796989i	$0.293575\pi$
$491$	−155.929	+	581.936i	−0.317575	+	1.18521i	−0.921568	+	0.388216i	$0.873091\pi$
$492$	208.586	−	301.432i	0.423955	−	0.612666i
$493$	−137.129	+	36.7436i	−0.278152	+	0.0745305i
$494$	−48.1358	−	221.146i	−0.0974409	−	0.447664i
$495$	175.576	−	107.660i	0.354700	−	0.217494i
$496$	219.789	−	253.901i	0.443122	−	0.511898i
$497$	−445.397	−	257.150i	−0.896171	−	0.517404i
$498$	395.856	+	246.997i	0.794892	+	0.495978i
$499$	63.3752	−	236.520i	0.127004	−	0.473987i	−0.872899	−	0.487901i	$-0.837763\pi$
$499$	63.3752	−	236.520i	0.127004	−	0.473987i	0.999903	+	0.0139143i	$0.00442920\pi$
$500$	−587.130	+	98.8790i	−1.17426	+	0.197758i
$501$	−4.72801	−	357.419i	−0.00943715	−	0.713410i
$502$	353.283	−	182.185i	0.703750	−	0.362918i
$503$	201.129			0.399860			0.199930	−	0.979810i	$-0.435929\pi$
$503$	201.129			0.399860			0.199930	+	0.979810i	$0.435929\pi$
$504$	−528.648	−	668.064i	−1.04890	−	1.32552i
$505$		−	779.485i		−	1.54353i
$506$	−94.8088	+	48.8920i	−0.187369	+	0.0966246i
$507$	237.090	+	398.388i	0.467633	+	0.785774i
$508$	−86.5463	−	61.5973i	−0.170367	−	0.121255i
$509$	20.6499	+	5.53312i	0.0405695	+	0.0108706i	0.279047	−	0.960278i	$-0.409982\pi$
$509$	20.6499	+	5.53312i	0.0405695	+	0.0108706i	−0.238477	+	0.971148i	$0.576648\pi$
$510$	171.418	−	91.2893i	0.336115	−	0.178999i
$511$	−380.641	+	659.289i	−0.744894	+	1.29019i
$512$	−179.455	−	479.520i	−0.350499	−	0.936563i
$513$	−545.036	+	590.105i	−1.06245	+	1.15030i
$514$	66.6447	+	306.180i	0.129659	+	0.595681i
$515$	276.039	+	1030.19i	0.535999	+	2.00038i
$516$	251.549	−	213.460i	0.487498	−	0.413683i
$517$	−222.295	−	59.5637i	−0.429971	−	0.115210i
$518$	12.3872	−	260.712i	0.0239135	−	0.503305i
$519$	−198.055	+	780.295i	−0.381610	+	1.50346i
$520$	−249.215	+	29.8903i	−0.479259	+	0.0574814i
$521$	−967.000			−1.85605			−0.928023	−	0.372522i	$-0.878493\pi$
$521$	−967.000			−1.85605			−0.928023	+	0.372522i	$0.878493\pi$
$522$	−313.686	−	570.698i	−0.600930	−	1.09329i
$523$	−178.676	+	178.676i	−0.341637	+	0.341637i	−0.856982	−	0.515346i	$-0.827664\pi$
$523$	−178.676	+	178.676i	−0.341637	+	0.341637i	0.515346	+	0.856982i	$0.327664\pi$
$524$	−223.418	−	270.455i	−0.426370	−	0.516135i
$525$	20.2104	+	1527.82i	0.0384959	+	2.91014i
$526$	470.190	+	517.099i	0.893898	+	0.983078i
$527$	71.3246	−	41.1793i	0.135341	−	0.0781390i
$528$	−11.3207	−	132.678i	−0.0214407	−	0.251285i
$529$	79.6788	−	138.008i	0.150622	−	0.260884i
$530$	−150.877	−	693.161i	−0.284674	−	1.30785i
$531$	401.763	−	119.128i	0.756616	−	0.224346i
$532$	−491.767	+	1319.47i	−0.924374	+	2.48020i
$533$	−112.228	+	30.0713i	−0.210559	+	0.0564190i
$534$	14.6658	−	13.6941i	0.0274641	−	0.0256445i
$535$	−414.591	+	239.364i	−0.774936	+	0.447409i
$536$	−176.735	−	440.991i	−0.329729	−	0.822745i
$537$	−652.990	+	184.259i	−1.21600	+	0.343127i
$538$	211.370	+	409.878i	0.392882	+	0.761855i
$539$	−178.516	−	178.516i	−0.331199	−	0.331199i
$540$	594.187	+	663.789i	1.10035	+	1.22924i
$541$	359.042	+	359.042i	0.663664	+	0.663664i	0.956242	−	0.292577i	$-0.0945129\pi$
$541$	359.042	+	359.042i	0.663664	+	0.663664i	−0.292577	+	0.956242i	$0.594513\pi$
$542$	−50.2852	+	157.373i	−0.0927772	+	0.290355i
$543$	267.913	−	75.5991i	0.493395	−	0.139225i
$544$	−3.06524	−	125.530i	−0.00563463	−	0.230753i
$545$	558.530	−	322.467i	1.02482	−	0.591683i
$546$	−9.24657	+	269.870i	−0.0169351	+	0.494267i
$547$	−376.387	+	100.853i	−0.688094	+	0.184374i	−0.585892	−	0.810389i	$-0.699256\pi$
$547$	−376.387	+	100.853i	−0.688094	+	0.184374i	−0.102202	+	0.994764i	$0.532589\pi$
$548$	34.4973	−	15.7646i	0.0629513	−	0.0287676i
$549$	−358.553	−	340.067i	−0.653102	−	0.619429i
$550$	−129.095	+	200.930i	−0.234718	+	0.365327i
$551$	−538.198	+	932.187i	−0.976766	+	1.69181i
$552$	−281.519	−	365.597i	−0.509998	−	0.662314i
$553$	615.550	−	355.388i	1.11311	−	0.642655i
$554$	−850.334	−	40.4018i	−1.53490	−	0.0729275i
$555$	3.61021	+	272.918i	0.00650489	+	0.491743i
$556$	364.110	+	440.767i	0.654874	+	0.792746i
$557$	149.458	−	149.458i	0.268327	−	0.268327i	−0.560099	−	0.828426i	$-0.689237\pi$
$557$	149.458	−	149.458i	0.268327	−	0.268327i	0.828426	+	0.560099i	$0.189237\pi$
$558$	261.466	+	272.697i	0.468577	+	0.488705i
$559$	−104.570			−0.187065
$560$	1405.03	+	681.670i	2.50898	+	1.21727i
$561$	8.03436	−	31.6536i	0.0143215	−	0.0564236i
$562$	236.183	+	259.746i	0.420254	+	0.462181i
$563$	−459.101	−	123.016i	−0.815454	−	0.218500i	−0.173096	−	0.984905i	$-0.555377\pi$
$563$	−459.101	−	123.016i	−0.815454	−	0.218500i	−0.642358	+	0.766405i	$0.722044\pi$
$564$	81.2671	−	992.159i	0.144091	−	1.75915i
$565$	−47.2384	−	176.296i	−0.0836078	−	0.312029i
$566$	−216.633	+	337.178i	−0.382743	+	0.595721i
$567$	803.509	−	522.433i	1.41712	−	0.921399i
$568$	278.292	−	208.487i	0.489951	−	0.367054i
$569$	−108.156	+	187.331i	−0.190080	+	0.329229i	−0.945277	−	0.326270i	$-0.894208\pi$
$569$	−108.156	+	187.331i	−0.190080	+	0.329229i	0.755196	+	0.655499i	$0.227542\pi$
$570$	429.599	−	1408.46i	0.753682	−	2.47099i
$571$	−768.673	−	205.965i	−1.34619	−	0.360710i	−0.487462	−	0.873144i	$-0.662077\pi$
$571$	−768.673	−	205.965i	−1.34619	−	0.360710i	−0.858726	+	0.512434i	$0.828744\pi$
$572$	−24.4739	+	34.3866i	−0.0427865	+	0.0601164i
$573$	−299.025	−	502.459i	−0.521859	−	0.876892i
$574$	688.586	+	220.024i	1.19963	+	0.383317i
$575$			827.582i			1.43927i
$576$	555.865	−	150.966i	0.965043	−	0.262093i
$577$	944.816			1.63746			0.818731	−	0.574177i	$-0.194678\pi$
$577$	944.816			1.63746			0.818731	+	0.574177i	$0.194678\pi$
$578$	−166.553	+	521.242i	−0.288153	+	0.901803i
$579$	7.68351	+	580.842i	0.0132703	+	1.00318i
$580$	972.576	+	692.209i	1.67686	+	1.19346i
$581$	−238.152	+	888.794i	−0.409900	+	1.52977i
$582$	163.311	+	705.264i	0.280603	+	1.21179i
$583$	−103.305	−	59.6434i	−0.177196	−	0.102304i
$584$	−308.608	−	411.936i	−0.528438	−	0.705370i
$585$	−7.46935	−	282.277i	−0.0127681	−	0.482525i
$586$	−513.797	−	330.108i	−0.876787	−	0.563325i
$587$	946.206	−	253.535i	1.61193	−	0.431917i	0.663316	−	0.748339i	$-0.269148\pi$
$587$	946.206	−	253.535i	1.61193	−	0.431917i	0.948618	+	0.316423i	$0.102482\pi$
$588$	621.405	−	898.005i	1.05681	−	1.52722i
$589$	161.619	−	603.170i	0.274395	−	1.02406i
$590$	−568.339	+	516.782i	−0.963287	+	0.875902i
$591$	111.714	+	395.899i	0.189025	+	0.669880i
$592$	158.771	+	77.0297i	0.268194	+	0.130118i
$593$		−	204.282i		−	0.344488i	−0.985054	−	0.172244i	$-0.944898\pi$
$593$		−	204.282i		−	0.344488i	0.985054	−	0.172244i	$-0.0551018\pi$
$594$	149.801	+	1.16769i	0.252190	+	0.00196582i
$595$	270.818	+	270.818i	0.455157	+	0.455157i
$596$	−347.386	+	286.969i	−0.582862	+	0.481492i
$597$	−544.406	+	972.420i	−0.911902	+	1.62884i
$598$	−6.94113	+	146.090i	−0.0116072	+	0.244297i
$599$	98.0223	+	169.780i	0.163643	+	0.283438i	0.936173	−	0.351541i	$-0.114342\pi$
$599$	98.0223	+	169.780i	0.163643	+	0.283438i	−0.772529	+	0.634979i	$0.781009\pi$
$600$	−955.104	−	393.721i	−1.59184	−	0.656202i
$601$	782.157	+	451.579i	1.30143	+	0.751379i	0.980649	−	0.195776i	$-0.0627225\pi$
$601$	782.157	+	451.579i	1.30143	+	0.751379i	0.320778	+	0.947155i	$0.396056\pi$
$602$	547.366	+	351.676i	0.909246	+	0.584179i
$603$	512.422	−	151.940i	0.849788	−	0.251973i
$604$	43.0961	+	94.3059i	0.0713511	+	0.156136i
$605$	−241.901	−	902.789i	−0.399837	−	1.49221i
$606$	300.134	−	481.017i	0.495270	−	0.793757i
$607$	−225.044	−	389.788i	−0.370748	−	0.642154i	0.618933	−	0.785444i	$-0.287565\pi$
$607$	−225.044	−	389.788i	−0.370748	−	0.642154i	−0.989681	+	0.143290i	$0.954232\pi$
$608$	−689.439	−	656.572i	−1.13395	−	1.07989i
$609$	896.011	−	920.034i	1.47128	−	1.51073i
$610$	862.884	+	275.717i	1.41456	+	0.451995i
$611$	−223.113	+	223.113i	−0.365161	+	0.365161i
$612$	140.932	+	9.66887i	0.230281	+	0.0157988i
$613$	614.419	−	614.419i	1.00231	−	1.00231i	0.00231754	−	0.999997i	$-0.499262\pi$
$613$	614.419	−	614.419i	1.00231	−	1.00231i	0.999997	−	0.00231754i	$-0.000737697\pi$
$614$	502.679	−	259.227i	0.818695	−	0.422194i
$615$	−732.706	−	185.976i	−1.19139	−	0.302401i
$616$	243.753	−	97.6880i	0.395702	−	0.158584i
$617$	−18.9956	−	32.9014i	−0.0307871	−	0.0533248i	0.850221	−	0.526425i	$-0.176468\pi$
$617$	−18.9956	−	32.9014i	−0.0307871	−	0.0533248i	−0.881008	+	0.473101i	$0.843135\pi$
$618$	−226.324	+	742.015i	−0.366220	+	1.20067i
$619$	−90.6486	−	338.305i	−0.146444	−	0.546535i	−0.999687	−	0.0250218i	$-0.992034\pi$
$619$	−90.6486	−	338.305i	−0.146444	−	0.546535i	0.853243	−	0.521513i	$-0.174632\pi$
$620$	−648.927	−	241.856i	−1.04666	−	0.390090i
$621$	438.907	−	277.183i	0.706774	−	0.446349i
$622$	−978.217	+	212.924i	−1.57270	+	0.342321i
$623$	34.2685	+	19.7849i	0.0550056	+	0.0317575i
$624$	−165.298	−	77.5127i	−0.264901	−	0.124219i
$625$	75.8652	+	131.402i	0.121384	+	0.210244i
$626$	767.759	−	698.111i	1.22645	−	1.11519i
$627$	−126.631	−	212.780i	−0.201963	−	0.339362i
$628$	−610.386	+	504.229i	−0.971952	+	0.802912i
$629$	30.6029	+	30.6029i	0.0486532	+	0.0486532i
$630$	−910.223	+	1502.69i	−1.44480	+	2.38522i
$631$		−	1257.04i		−	1.99213i	−0.0885985	−	0.996067i	$-0.528239\pi$
$631$		−	1257.04i		−	1.99213i	0.0885985	−	0.996067i	$-0.471761\pi$
$632$	57.2281	+	477.147i	0.0905507	+	0.754979i
$633$	424.503	−	435.884i	0.670620	−	0.688600i
$634$	−664.693	−	31.5815i	−1.04841	−	0.0498131i
$635$	−56.6989	+	211.603i	−0.0892896	+	0.333233i
$636$	173.790	−	485.841i	0.273254	−	0.763901i
$637$	−334.341	+	89.5865i	−0.524869	+	0.140638i
$638$	196.142	−	42.6933i	0.307433	−	0.0669174i
$639$	204.489	+	333.489i	0.320014	+	0.521893i
$640$	−797.373	+	692.128i	−1.24590	+	1.08145i
$641$	−573.322	−	331.008i	−0.894418	−	0.516392i	−0.0190329	−	0.999819i	$-0.506059\pi$
$641$	−573.322	−	331.008i	−0.894418	−	0.516392i	−0.875385	+	0.483426i	$0.839392\pi$
$642$	−348.007	−	11.9238i	−0.542067	−	0.0185729i
$643$	67.4646	−	251.781i	0.104922	−	0.391573i	−0.893415	−	0.449233i	$-0.851697\pi$
$643$	67.4646	−	251.781i	0.104922	−	0.391573i	0.998336	+	0.0576603i	$0.0183640\pi$
$644$	527.644	−	741.358i	0.819324	−	1.15118i
$645$	−593.653	−	332.354i	−0.920392	−	0.515278i
$646$	−107.017	−	207.522i	−0.165661	−	0.321241i
$647$	−533.739			−0.824945			−0.412472	−	0.910970i	$-0.635335\pi$
$647$	−533.739			−0.824945			−0.412472	+	0.910970i	$0.635335\pi$
$648$	111.085	+	638.408i	0.171427	+	0.985197i
$649$			129.169i			0.199028i
$650$	150.080	+	291.026i	0.230892	+	0.447732i
$651$	−363.948	+	650.085i	−0.559060	+	0.998595i
$652$	47.5916	+	282.593i	0.0729933	+	0.433424i
$653$	−26.3107	−	7.04993i	−0.0402921	−	0.0107962i	0.238617	−	0.971114i	$-0.423306\pi$
$653$	−26.3107	−	7.04993i	−0.0402921	−	0.0107962i	−0.278909	+	0.960318i	$0.589973\pi$
$654$	468.829	+	16.0636i	0.716864	+	0.0245620i
$655$	−361.716	+	626.511i	−0.552238	+	0.956505i
$656$	−319.883	+	369.531i	−0.487627	+	0.563310i
$657$	493.640	−	302.690i	0.751355	−	0.460715i
$658$	1918.23	−	417.531i	2.91524	−	0.634546i
$659$	−21.2990	−	79.4891i	−0.0323202	−	0.120621i	0.947881	−	0.318624i	$-0.103221\pi$
$659$	−21.2990	−	79.4891i	−0.0323202	−	0.120621i	−0.980201	+	0.198004i	$0.936554\pi$
$660$	−248.232	+	117.431i	−0.376109	+	0.177926i
$661$	966.353	+	258.934i	1.46196	+	0.391730i	0.900165	−	0.435549i	$-0.143446\pi$
$661$	966.353	+	258.934i	1.46196	+	0.391730i	0.561792	+	0.827279i	$0.310112\pi$
$662$	260.355	+	12.3702i	0.393285	+	0.0186861i
$663$	−32.0767	−	31.2391i	−0.0483811	−	0.0471178i
$664$	−489.165	−	384.392i	−0.736694	−	0.578904i
$665$	2903.89			4.36675
$666$	−102.857	+	169.806i	−0.154439	+	0.254964i
$667$	491.852	−	491.852i	0.737410	−	0.737410i
$668$	−45.1872	+	474.453i	−0.0676456	+	0.710259i
$669$	492.960	−	293.372i	0.736861	−	0.438524i
$670$	−724.880	+	659.122i	−1.08191	+	0.983764i
$671$	131.917	−	76.1621i	0.196597	−	0.113505i
$672$	604.568	+	961.650i	0.899655	+	1.43103i
$673$	552.428	−	956.834i	0.820844	−	1.42174i	−0.0842097	−	0.996448i	$-0.526837\pi$
$673$	552.428	−	956.834i	0.820844	−	1.42174i	0.905054	−	0.425296i	$-0.139830\pi$
$674$	207.588	−	45.1847i	0.307994	−	0.0670396i
$675$	540.716	−	1028.76i	0.801061	−	1.52409i
$676$	−256.919	−	562.210i	−0.380058	−	0.831671i
$677$	234.049	−	62.7131i	0.345714	−	0.0926338i	−0.0817839	−	0.996650i	$-0.526062\pi$
$677$	234.049	−	62.7131i	0.345714	−	0.0926338i	0.427498	+	0.904016i	$0.359395\pi$
$678$	38.7306	−	126.980i	0.0571248	−	0.187287i
$679$	−1236.35	+	713.809i	−1.82084	+	1.05126i
$680$	−240.364	+	96.3299i	−0.353476	+	0.141662i
$681$	−157.886	+	622.037i	−0.231845	+	0.913418i
$682$	−103.500	+	53.3740i	−0.151759	+	0.0782610i
$683$	77.1808	+	77.1808i	0.113003	+	0.113003i	0.761347	−	0.648344i	$-0.224538\pi$
$683$	77.1808	+	77.1808i	0.113003	+	0.113003i	−0.648344	+	0.761347i	$0.724538\pi$
$684$	807.419	−	703.743i	1.18044	−	1.02886i
$685$	−55.3083	−	55.3083i	−0.0807421	−	0.0807421i
$686$	946.838	+	302.543i	1.38023	+	0.441025i
$687$	930.885	+	906.578i	1.35500	+	1.31962i
$688$	−364.168	+	246.737i	−0.529314	+	0.358629i
$689$	−141.637	+	81.7743i	−0.205569	+	0.118685i
$690$	−503.724	+	807.306i	−0.730034	+	1.17001i
$691$	−1084.08	+	290.479i	−1.56886	+	0.420375i	−0.935455	−	0.353446i	$-0.885010\pi$
$691$	−1084.08	+	290.479i	−1.56886	+	0.420375i	−0.633405	+	0.773821i	$0.718343\pi$
$692$	374.862	−	1005.80i	0.541709	−	1.45347i
$693$	83.9828	+	283.235i	0.121187	+	0.408709i
$694$	−455.163	−	292.437i	−0.655854	−	0.421378i
$695$	589.498	−	1021.04i	0.848199	−	1.46912i
$696$	333.644	+	801.641i	0.479374	+	1.15178i
$697$	−103.807	+	59.9328i	−0.148934	+	0.0859868i
$698$	−35.7060	+	751.502i	−0.0511547	+	1.07665i
$699$	−313.475	−	175.498i	−0.448462	−	0.251070i
$700$	193.157	−	2028.10i	0.275939	−	2.89728i
$701$	206.982	−	206.982i	0.295266	−	0.295266i	−0.543890	−	0.839156i	$-0.683049\pi$
$701$	206.982	−	206.982i	0.295266	−	0.295266i	0.839156	+	0.543890i	$0.183049\pi$
$702$	104.079	−	177.068i	0.148261	−	0.252234i
$703$	328.144			0.466776
$704$	−4.09451	+	177.500i	−0.00581607	+	0.252131i
$705$	−1975.76	+	557.515i	−2.80250	+	0.790802i
$706$	15.5035	−	14.0971i	0.0219596	−	0.0199675i
$707$	1080.00	+	289.385i	1.52758	+	0.409314i
$708$	−549.702	+	100.070i	−0.776415	+	0.141342i
$709$	−129.680	−	483.972i	−0.182905	−	0.682612i	−0.995069	−	0.0991829i	$-0.968377\pi$
$709$	−129.680	−	483.972i	−0.182905	−	0.682612i	0.812164	−	0.583429i	$-0.198290\pi$
$710$	−603.303	−	387.615i	−0.849722	−	0.545936i
$711$	−540.448	+	14.3008i	−0.760124	+	0.0201137i
$712$	−21.4116	+	16.0408i	−0.0300724	+	0.0225292i
$713$	−201.764	+	349.465i	−0.282979	+	0.490134i
$714$	62.8447	+	271.397i	0.0880178	+	0.380108i
$715$	84.0742	+	22.5276i	0.117586	+	0.0315071i
$716$	892.089	−	150.237i	1.24593	−	0.209829i
$717$	−543.323	+	7.18720i	−0.757773	+	0.0100240i
$718$	45.3585	−	141.954i	0.0631735	−	0.197707i
$719$		−	122.645i		−	0.170577i	−0.996356	−	0.0852883i	$-0.972819\pi$
$719$		−	122.645i		−	0.170577i	0.996356	−	0.0852883i	$-0.0271811\pi$
$720$	−692.058	−	965.418i	−0.961192	−	1.34086i
$721$	−1529.84			−2.12184
$722$	−998.600	−	319.083i	−1.38310	−	0.441943i
$723$	454.880	−	270.710i	0.629156	−	0.374426i
$724$	−366.013	+	61.6405i	−0.505543	+	0.0851388i
$725$	403.065	−	1504.26i	0.555952	−	2.07484i
$726$	198.334	−	650.249i	0.273188	−	0.895660i
$727$	−468.588	−	270.539i	−0.644550	−	0.372131i	0.141815	−	0.989893i	$-0.454706\pi$
$727$	−468.588	−	270.539i	−0.644550	−	0.372131i	−0.786365	+	0.617762i	$0.788039\pi$
$728$	51.1074	−	356.391i	0.0702025	−	0.489549i
$729$	−726.705	+	57.7961i	−0.996852	+	0.0792814i
$730$	−573.758	+	893.026i	−0.785970	+	1.22332i
$731$	−104.205	+	27.9216i	−0.142551	+	0.0381964i
$732$	426.319	+	502.389i	0.582404	+	0.686324i
$733$	−65.3885	+	244.033i	−0.0892066	+	0.332924i	−0.996078	−	0.0884849i	$-0.971797\pi$
$733$	−65.3885	+	244.033i	−0.0892066	+	0.332924i	0.906871	+	0.421409i	$0.138464\pi$
$734$	273.033	+	300.272i	0.371979	+	0.409090i
$735$	−2182.83	−	554.048i	−2.96983	−	0.753807i
$736$	320.532	+	525.141i	0.435506	+	0.713507i
$737$			164.747i			0.223537i
$738$	−380.541	−	396.887i	−0.515638	−	0.537787i
$739$	209.587	+	209.587i	0.283609	+	0.283609i	0.834547	−	0.550937i	$-0.185730\pi$
$739$	209.587	+	209.587i	0.283609	+	0.283609i	−0.550937	+	0.834547i	$0.685730\pi$
$740$	34.5041	−	362.282i	0.0466271	−	0.489571i
$741$	−339.457	+	4.49041i	−0.458106	+	0.00605993i
$742$	1016.41	+	48.2925i	1.36982	+	0.0650843i
$743$	−49.6392	−	85.9777i	−0.0668092	−	0.115717i	0.830686	−	0.556741i	$-0.187949\pi$
$743$	−49.6392	−	85.9777i	−0.0668092	−	0.115717i	−0.897495	+	0.441024i	$0.854615\pi$
$744$	−307.326	−	399.112i	−0.413072	−	0.536440i
$745$	804.722	+	464.607i	1.08016	+	0.623633i
$746$	112.470	−	175.054i	0.150764	−	0.234657i
$747$	481.633	−	507.815i	0.644757	−	0.679806i
$748$	−15.2068	+	40.8015i	−0.0203299	+	0.0545474i
$749$	−177.729	−	663.292i	−0.237288	−	0.885571i
$750$	−30.5824	+	892.574i	−0.0407765	+	1.19010i
$751$	369.802	+	640.515i	0.492412	+	0.852883i	0.999962	−	0.00873941i	$-0.00278187\pi$
$751$	369.802	+	640.515i	0.492412	+	0.852883i	−0.507549	+	0.861623i	$0.669449\pi$
$752$	−250.555	+	1303.45i	−0.333185	+	1.73331i
$753$	−161.922	−	573.830i	−0.215036	−	0.762059i
$754$	83.7680	−	262.160i	0.111098	−	0.347692i
$755$	151.197	−	151.197i	0.200261	−	0.200261i
$756$	−1140.29	+	576.832i	−1.50832	+	0.763005i
$757$	124.558	−	124.558i	0.164541	−	0.164541i	−0.620034	−	0.784575i	$-0.712881\pi$
$757$	124.558	−	124.558i	0.164541	−	0.164541i	0.784575	+	0.620034i	$0.212881\pi$
$758$	−314.176	−	609.232i	−0.414480	−	0.803736i
$759$	43.4542	+	153.996i	0.0572519	+	0.202893i
$760$	−772.213	+	1805.13i	−1.01607	+	2.37517i
$761$	−468.638	−	811.705i	−0.615818	−	1.06663i	−0.990240	−	0.139370i	$-0.955492\pi$
$761$	−468.638	−	811.705i	−0.615818	−	1.06663i	0.374422	−	0.927258i	$-0.377841\pi$
$762$	−116.464	+	108.748i	−0.152840	+	0.142714i
$763$	239.433	+	893.576i	0.313805	+	1.17114i
$764$	324.035	+	709.077i	0.424129	+	0.928111i
$765$	−82.8153	−	279.298i	−0.108255	−	0.365095i
$766$	−196.589	−	903.170i	−0.256643	−	1.17907i
$767$	153.371	+	88.5490i	0.199963	+	0.115448i
$768$	−758.553	+	120.088i	−0.987699	+	0.156365i
$769$	448.100	+	776.133i	0.582705	+	1.00928i	0.995157	+	0.0982960i	$0.0313392\pi$
$769$	448.100	+	776.133i	0.582705	+	1.00928i	−0.412452	+	0.910979i	$0.635327\pi$
$770$	−364.322	−	400.669i	−0.473145	−	0.520349i
$771$	469.983	−	6.21703i	0.609575	−	0.00806360i
$772$	73.4340	−	771.035i	0.0951217	−	0.998750i
$773$	−1085.47	−	1085.47i	−1.40423	−	1.40423i	−0.785994	−	0.618234i	$-0.787848\pi$
$773$	−1085.47	−	1085.47i	−1.40423	−	1.40423i	−0.618234	−	0.785994i	$-0.712152\pi$
$774$	−238.371	−	433.675i	−0.307973	−	0.560304i
$775$			903.447i			1.16574i
$776$	−114.944	−	958.365i	−0.148124	−	1.23501i
$777$	−379.476	−	96.3191i	−0.488386	−	0.123963i
$778$	−64.6500	+	1360.68i	−0.0830977	+	1.74895i
$779$	−235.222	+	877.861i	−0.301954	+	1.12691i
$780$	−30.7360	+	375.245i	−0.0394052	+	0.481083i
$781$	−116.473	+	31.2088i	−0.149133	+	0.0399600i
$782$	32.0911	+	147.433i	0.0410372	+	0.188533i
$783$	−932.781	+	290.058i	−1.19129	+	0.370444i
$784$	−952.974	+	1100.88i	−1.21553	+	1.40419i
$785$	1413.96	+	816.353i	1.80123	+	1.03994i
$786$	−464.446	+	247.342i	−0.590898	+	0.314684i
$787$	344.754	−	1286.64i	0.438061	−	1.63487i	−0.295572	−	0.955320i	$-0.595510\pi$
$787$	344.754	−	1286.64i	0.438061	−	1.63487i	0.733633	−	0.679545i	$-0.237823\pi$
$788$	−91.0869	−	540.862i	−0.115592	−	0.686373i
$789$	900.893	−	536.143i	1.14182	−	0.679522i
$790$	880.814	−	454.228i	1.11495	−	0.574972i
$791$	261.801			0.330975
$792$	−198.399	−	23.1133i	−0.250503	−	0.0291835i
$793$		−	208.845i		−	0.263360i
$794$	401.166	−	206.878i	0.505247	−	0.260551i
$795$	−1063.99	+	14.0747i	−1.33836	+	0.0177041i
$796$	861.621	−	1210.61i	1.08244	−	1.52086i
$797$	382.495	+	102.489i	0.479919	+	0.128594i	0.490665	−	0.871348i	$-0.336754\pi$
$797$	382.495	+	102.489i	0.479919	+	0.128594i	−0.0107461	+	0.999942i	$0.503421\pi$
$798$	1791.98	+	1118.12i	2.24559	+	1.40115i
$799$	−162.760	+	281.909i	−0.203705	+	0.352827i
$800$	1209.35	+	659.391i	1.51168	+	0.824238i
$801$	−15.7332	−	25.6584i	−0.0196419	−	0.0320330i
$802$	−27.9391	−	128.358i	−0.0348368	−	0.160047i
$803$	46.1961	+	172.406i	0.0575294	+	0.214703i
$804$	−701.109	+	127.633i	−0.872026	+	0.158748i
$805$	−1812.60	−	485.684i	−2.25167	−	0.603334i
$806$	−7.57743	+	159.482i	−0.00940128	+	0.197868i
$807$	665.757	−	187.862i	0.824977	−	0.232790i
$808$	−467.087	+	594.399i	−0.578077	+	0.735642i
$809$	1100.91			1.36083			0.680416	−	0.732827i	$-0.261799\pi$
$809$	1100.91			1.36083			0.680416	+	0.732827i	$0.261799\pi$
$810$	1153.64	−	674.440i	1.42425	−	0.832642i
$811$	−279.574	+	279.574i	−0.344727	+	0.344727i	−0.858141	−	0.513414i	$-0.828381\pi$
$811$	−279.574	+	279.574i	−0.344727	+	0.344727i	0.513414	+	0.858141i	$0.328381\pi$
$812$	−1320.15	+	1090.55i	−1.62580	+	1.34304i
$813$	216.236	+	121.059i	0.265973	+	0.148904i
$814$	−41.1689	−	45.2761i	−0.0505760	−	0.0556218i
$815$	511.802	−	295.489i	0.627978	−	0.362563i
$816$	−185.419	−	33.1052i	−0.227229	−	0.0405701i
$817$	−408.979	+	708.372i	−0.500586	+	0.867040i
$818$	−164.612	−	756.264i	−0.201238	−	0.924528i
$819$	393.877	+	94.4469i	0.480924	+	0.115320i
$820$	944.456	+	352.000i	1.15178	+	0.429268i
$821$	114.680	−	30.7283i	0.139683	−	0.0374279i	−0.188300	−	0.982112i	$-0.560298\pi$
$821$	114.680	−	30.7283i	0.139683	−	0.0374279i	0.327983	+	0.944684i	$0.393631\pi$
$822$	−12.8346	−	55.4265i	−0.0156138	−	0.0674288i
$823$	313.937	−	181.251i	0.381454	−	0.220233i	−0.296997	−	0.954879i	$-0.595985\pi$
$823$	313.937	−	181.251i	0.381454	−	0.220233i	0.678451	+	0.734646i	$0.262652\pi$
$824$	406.822	−	950.987i	0.493716	−	1.15411i
$825$	256.643	+	249.942i	0.311082	+	0.302960i
$826$	−505.020	−	979.308i	−0.611405	−	1.18560i
$827$	−98.1167	−	98.1167i	−0.118642	−	0.118642i	0.645293	−	0.763935i	$-0.276735\pi$
$827$	−98.1167	−	98.1167i	−0.118642	−	0.118642i	−0.763935	+	0.645293i	$0.776735\pi$
$828$	−621.691	+	304.231i	−0.750835	+	0.367429i
$829$	516.527	+	516.527i	0.623072	+	0.623072i	0.946316	−	0.323243i	$-0.104773\pi$
$829$	516.527	+	516.527i	0.623072	+	0.623072i	−0.323243	+	0.946316i	$0.604773\pi$
$830$	−390.496	+	1222.09i	−0.470477	+	1.47240i
$831$	−314.153	+	1237.69i	−0.378042	+	1.48940i
$832$	207.951	+	126.543i	0.249941	+	0.152094i
$833$	−309.254	+	178.548i	−0.371253	+	0.214343i
$834$	756.919	−	403.099i	0.907577	−	0.483332i
$835$	949.368	−	254.383i	1.13697	−	0.304650i
$836$	137.222	+	300.278i	0.164141	+	0.359185i
$837$	479.142	−	302.592i	0.572451	−	0.361520i
$838$	−199.228	+	310.088i	−0.237742	+	0.370033i
$839$	−68.4646	+	118.584i	−0.0816026	+	0.141340i	−0.903938	−	0.427663i	$-0.859337\pi$
$839$	−68.4646	+	118.584i	−0.0816026	+	0.141340i	0.822336	+	0.569002i	$0.192670\pi$
$840$	1422.87	−	1860.84i	1.69389	−	2.21528i
$841$	−405.243	+	233.967i	−0.481859	+	0.278201i
$842$	−844.754	−	40.1367i	−1.00327	−	0.0476683i
$843$	452.531	−	269.312i	0.536810	−	0.319468i
$844$	−625.445	+	516.669i	−0.741049	+	0.612167i
$845$	−901.371	+	901.371i	−1.06671	+	1.06671i
$846$	−1433.90	−	416.708i	−1.69492	−	0.492563i
$847$	1340.65			1.58282
$848$	−300.307	+	618.982i	−0.354136	+	0.729931i
$849$	430.669	+	419.424i	0.507266	+	0.494021i
$850$	227.264	+	249.937i	0.267369	+	0.294044i
$851$	−204.826	−	54.8830i	−0.240689	−	0.0644924i
$852$	−223.048	−	471.492i	−0.261794	−	0.553394i
$853$	186.943	+	697.680i	0.219159	+	0.817913i	0.984661	+	0.174479i	$0.0558242\pi$
$853$	186.943	+	697.680i	0.219159	+	0.817913i	−0.765502	+	0.643434i	$0.777509\pi$
$854$	−702.362	+	1093.19i	−0.822438	+	1.28008i
$855$	−1941.41	−	1053.41i	−2.27065	−	1.23205i
$856$	459.580	+	65.9050i	0.536893	+	0.0769918i
$857$	−114.081	+	197.594i	−0.133117	+	0.230565i	−0.924876	−	0.380268i	$-0.875832\pi$
$857$	−114.081	+	197.594i	−0.133117	+	0.230565i	0.791760	+	0.610833i	$0.209165\pi$
$858$	43.2078	+	46.2737i	0.0503587	+	0.0539320i
$859$	1441.14	+	386.153i	1.67770	+	0.449538i	0.967170	−	0.254129i	$-0.0817888\pi$
$859$	1441.14	+	386.153i	1.67770	+	0.449538i	0.710529	+	0.703667i	$0.248456\pi$
$860$	739.064	+	526.012i	0.859377	+	0.611642i
$861$	529.694	−	946.142i	0.615208	−	1.09889i
$862$	−70.5919	−	22.5562i	−0.0818932	−	0.0261673i
$863$		−	928.069i		−	1.07540i	−0.843137	−	0.537699i	$-0.819294\pi$
$863$		−	928.069i		−	1.07540i	0.843137	−	0.537699i	$-0.180706\pi$
$864$	−55.3410	−	862.226i	−0.0640520	−	0.997947i
$865$	−2213.57			−2.55903
$866$	152.340	−	476.762i	0.175912	−	0.550534i
$867$	716.206	+	400.965i	0.826074	+	0.462475i
$868$	576.014	−	809.319i	0.663610	−	0.932395i
$869$	43.1314	−	160.968i	0.0496333	−	0.185234i
$870$	1308.79	−	1222.07i	1.50435	−	1.40468i
$871$	195.615	+	112.938i	0.224587	+	0.129665i
$872$	−619.139	−	88.7861i	−0.710022	−	0.101819i
$873$	1085.51	−	28.7237i	1.24342	−	0.0329023i
$874$	962.488	+	618.387i	1.10124	+	0.707536i
$875$	−1701.22	+	455.841i	−1.94425	+	0.520961i
$876$	−697.915	+	330.162i	−0.796707	+	0.376898i
$877$	189.034	−	705.486i	0.215547	−	0.804431i	−0.770427	−	0.637528i	$-0.779957\pi$
$877$	189.034	−	705.486i	0.215547	−	0.804431i	0.985973	−	0.166902i	$-0.0533765\pi$
$878$	−203.339	+	184.893i	−0.231593	+	0.210584i
$879$	−639.125	+	656.261i	−0.727105	+	0.746599i
$880$	345.947	−	119.924i	0.393121	−	0.136277i
$881$			43.6924i			0.0495941i	0.999693	+	0.0247971i	$0.00789396\pi$
$881$			43.6924i			0.0495941i	−0.999693	+	0.0247971i	$0.992106\pi$
$882$	−1133.68	−	1182.38i	−1.28535	−	1.34057i
$883$	47.7834	+	47.7834i	0.0541148	+	0.0541148i	0.733646	−	0.679532i	$-0.237817\pi$
$883$	47.7834	+	47.7834i	0.0541148	+	0.0541148i	−0.679532	+	0.733646i	$0.737817\pi$
$884$	38.0217	+	46.0265i	0.0430109	+	0.0520662i
$885$	589.270	+	990.164i	0.665842	+	1.11883i
$886$	−17.2857	+	363.810i	−0.0195098	+	0.410621i
$887$	−473.539	−	820.194i	−0.533866	−	0.924683i	−0.999217	−	0.0395572i	$-0.987405\pi$
$887$	−473.539	−	820.194i	−0.533866	−	0.924683i	0.465351	−	0.885126i	$-0.345928\pi$
$888$	160.786	−	210.278i	0.181065	−	0.236799i
$889$	−272.133	−	157.116i	−0.306111	−	0.176733i
$890$	46.4176	+	29.8228i	0.0521546	+	0.0335087i
$891$	46.5986	−	219.823i	0.0522992	−	0.246715i
$892$	−695.672	+	317.909i	−0.779901	+	0.356400i
$893$	638.795	+	2384.02i	0.715336	+	2.66967i
$894$	317.698	+	596.558i	0.355367	+	0.667291i
$895$	−932.800	−	1615.66i	−1.04223	−	1.80520i
$896$	−662.938	−	1361.74i	−0.739886	−	1.51980i
$897$	212.639	+	53.9723i	0.237056	+	0.0601697i
$898$	−1684.59	−	538.277i	−1.87594	−	0.599418i
$899$	536.941	−	536.941i	0.597265	−	0.597265i
$900$	−864.843	+	1285.82i	−0.960936	+	1.42869i
$901$	−119.308	+	119.308i	−0.132417	+	0.132417i
$902$	150.635	−	77.6812i	0.167001	−	0.0861211i
$903$	680.882	−	699.137i	0.754022	−	0.774238i
$904$	−69.6192	+	162.742i	−0.0770124	+	0.180024i
$905$	382.716	+	662.884i	0.422891	+	0.732468i
$906$	151.520	−	35.0861i	0.167241	−	0.0387264i
$907$	−116.541	−	434.938i	−0.128491	−	0.479535i	0.871449	−	0.490486i	$-0.163181\pi$
$907$	−116.541	−	434.938i	−0.128491	−	0.479535i	−0.999940	+	0.0109511i	$0.996514\pi$
$908$	298.834	−	801.805i	0.329112	−	0.883045i
$909$	−617.062	−	585.247i	−0.678836	−	0.643836i
$910$	−725.493	+	157.915i	−0.797245	+	0.173532i
$911$	−432.628	−	249.778i	−0.474893	−	0.274180i	0.243393	−	0.969928i	$-0.421740\pi$
$911$	−432.628	−	249.778i	−0.474893	−	0.274180i	−0.718286	+	0.695748i	$0.755073\pi$
$912$	−1171.58	+	816.602i	−1.28462	+	0.895397i
$913$	107.868	+	186.832i	0.118146	+	0.204636i
$914$	−312.850	+	284.470i	−0.342287	+	0.311236i
$915$	663.773	−	1185.63i	0.725435	−	1.29578i
$916$	−1103.41	−	1335.72i	−1.20460	−	1.45821i
$917$	−733.762	−	733.762i	−0.800176	−	0.800176i
$918$	56.4361	−	204.241i	0.0614772	−	0.222484i
$919$		−	457.542i		−	0.497869i	−0.968520	−	0.248934i	$-0.919920\pi$
$919$		−	457.542i		−	0.497869i	0.968520	−	0.248934i	$-0.0800804\pi$
$920$	783.926	−	997.598i	0.852093	−	1.08435i
$921$	−230.396	−	816.492i	−0.250158	−	0.886527i
$922$	1192.91	+	56.6785i	1.29383	+	0.0614734i
$923$	−42.7889	+	159.690i	−0.0463585	+	0.173012i
$924$	−70.5476	−	387.530i	−0.0763502	−	0.419404i
$925$	−458.580	+	122.876i	−0.495762	+	0.132839i
$926$	677.316	−	147.428i	0.731443	−	0.159210i
$927$	1022.78	+	554.962i	1.10333	+	0.598664i
$928$	−326.853	−	1110.64i	−0.352212	−	1.19681i
$929$	113.392	+	65.4669i	0.122058	+	0.0704703i	0.559786	−	0.828637i	$-0.310883\pi$
$929$	113.392	+	65.4669i	0.122058	+	0.0704703i	−0.437728	+	0.899107i	$0.644217\pi$
$930$	−549.900	+	881.312i	−0.591290	+	0.947647i
$931$	−700.758	+	2615.26i	−0.752694	+	2.80909i
$932$	390.258	+	277.757i	0.418732	+	0.298023i
$933$	19.8628	+	1501.55i	0.0212892	+	1.60938i
$934$	611.409	+	1185.61i	0.654614	+	1.26939i
$935$	89.7960			0.0960385
$936$	−163.452	+	219.727i	−0.174628	+	0.234751i
$937$		−	285.383i		−	0.304571i	−0.988337	−	0.152286i	$-0.951337\pi$
$937$		−	285.383i		−	0.304571i	0.988337	−	0.152286i	$-0.0486634\pi$
$938$	−644.121	−	1249.04i	−0.686696	−	1.33160i
$939$	−796.034	−	1337.59i	−0.847746	−	1.42449i
$940$	2699.21	−	454.575i	2.87150	−	0.483591i
$941$	−1421.76	−	380.959i	−1.51090	−	0.404845i	−0.594168	−	0.804341i	$-0.702518\pi$
$941$	−1421.76	−	380.959i	−1.51090	−	0.404845i	−0.916735	+	0.399496i	$0.869185\pi$
$942$	558.222	+	1048.20i	0.592593	+	1.11274i
$943$	293.650	−	508.616i	0.311399	−	0.539360i
$944$	743.058	−	53.5112i	0.787137	−	0.0566856i
$945$	1935.90	+	1788.05i	2.04857	+	1.89211i
$946$	149.049	−	32.4428i	0.157557	−	0.0342947i
$947$	−18.7303	−	69.9026i	−0.0197786	−	0.0738148i	0.955331	−	0.295537i	$-0.0954987\pi$
$947$	−18.7303	−	69.9026i	−0.0197786	−	0.0738148i	−0.975110	+	0.221723i	$0.928832\pi$
$948$	718.443	+	58.8472i	0.757852	+	0.0620751i
$949$	236.378	+	63.3373i	0.249081	+	0.0667411i
$950$	2558.43	+	121.558i	2.69308	+	0.127956i
$951$	−245.569	+	967.486i	−0.258221	+	1.01734i
$952$	−44.2325	−	368.794i	−0.0464627	−	0.387389i
$953$	−621.688			−0.652349			−0.326174	−	0.945310i	$-0.605760\pi$
$953$	−621.688			−0.652349			−0.326174	+	0.945310i	$0.605760\pi$
$954$	−662.006	−	400.996i	−0.693926	−	0.420331i
$955$	1136.84	−	1136.84i	1.19041	−	1.19041i
$956$	721.231	+	68.6906i	0.754426	+	0.0718521i
$957$	−3.98270	−	301.076i	−0.00416165	−	0.314604i
$958$	909.500	−	826.994i	0.949374	−	0.863251i
$959$	97.1647	−	56.0981i	0.101319	−	0.0584964i
$960$	778.367	+	1379.33i	0.810799	+	1.43680i
$961$	260.240	−	450.749i	0.270802	−	0.469042i
$962$	−81.9817	+	17.8446i	−0.0852201	+	0.0185495i
$963$	−121.793	+	507.919i	−0.126472	+	0.527434i
$964$	−641.933	+	293.351i	−0.665905	+	0.304306i
$965$	−1542.82	+	413.398i	−1.59878	+	0.428392i
$966$	−931.538	−	997.638i	−0.964325	−	1.03275i
$967$	−345.122	+	199.256i	−0.356899	+	0.206056i	−0.667720	−	0.744413i	$-0.732730\pi$
$967$	−345.122	+	199.256i	−0.356899	+	0.206056i	0.310820	+	0.950469i	$0.399396\pi$
$968$	−356.510	+	833.378i	−0.368296	+	0.860928i
$969$	−337.073	+	95.1145i	−0.347857	+	0.0981574i
$970$	−1769.14	+	912.332i	−1.82386	+	0.940549i
$971$	−852.000	−	852.000i	−0.877446	−	0.877446i	0.115824	−	0.993270i	$-0.463049\pi$
$971$	−852.000	−	852.000i	−0.877446	−	0.877446i	−0.993270	+	0.115824i	$0.963049\pi$
$972$	971.596	+	28.0063i	0.999585	+	0.0288131i
$973$	1195.83	+	1195.83i	1.22901	+	1.22901i
$974$	1170.25	+	373.930i	1.20149	+	0.383912i
$975$	472.708	−	133.388i	0.484829	−	0.136808i
$976$	−492.778	−	727.310i	−0.504896	−	0.745195i
$977$	−1000.48	+	577.628i	−1.02403	+	0.591227i	−0.915270	−	0.402841i	$-0.868023\pi$
$977$	−1000.48	+	577.628i	−1.02403	+	0.591227i	−0.108765	+	0.994068i	$0.534689\pi$
$978$	429.606	+	14.7196i	0.439270	+	0.0150508i
$979$	8.96132	−	2.40118i	0.00915355	−	0.00245269i
$980$	2813.66	+	1048.65i	2.87108	+	1.07006i
$981$	164.077	−	684.260i	0.167255	−	0.697513i
$982$	−1013.73	−	651.309i	−1.03231	−	0.663247i
$983$	−515.302	+	892.529i	−0.524213	+	0.907964i	0.475389	+	0.879776i	$0.342307\pi$
$983$	−515.302	+	892.529i	−0.524213	+	0.907964i	−0.999603	+	0.0281886i	$0.991026\pi$
$984$	447.286	+	580.872i	0.454559	+	0.590317i
$985$	−979.551	+	565.544i	−0.994468	+	0.574157i
$986$	13.4752	−	283.612i	0.0136666	−	0.287639i
$987$	−38.9499	−	2944.46i	−0.0394629	−	2.98324i
$988$	450.609	+	42.9164i	0.456082	+	0.0434376i
$989$	373.760	−	373.760i	0.377917	−	0.377917i
$990$	98.2232	+	400.029i	0.0992154	+	0.404069i
$991$	−1216.20			−1.22724			−0.613620	−	0.789601i	$-0.710287\pi$
$991$	−1216.20			−1.22724			−0.613620	+	0.789601i	$0.710287\pi$
$992$	349.916	+	573.281i	0.352737	+	0.577904i
$993$	96.1872	−	378.956i	0.0968653	−	0.381628i
$994$	761.029	−	691.992i	0.765623	−	0.696169i
$995$	−2959.90	−	793.102i	−2.97477	−	0.797088i
$996$	−711.529	+	603.792i	−0.714387	+	0.606217i
$997$	−127.000	−	473.972i	−0.127383	−	0.475398i	0.872531	−	0.488559i	$-0.162477\pi$
$997$	−127.000	−	473.972i	−0.127383	−	0.475398i	−0.999913	+	0.0131607i	$0.995811\pi$
$998$	412.016	+	264.715i	0.412842	+	0.265246i
$999$	218.760	+	202.052i	0.218979	+	0.202254i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	144.3.w.a.29.20	yes	184
3.2	odd	2		432.3.x.a.413.27		184
9.4	even	3		432.3.x.a.125.12		184
9.5	odd	6	inner	144.3.w.a.77.35	yes	184
16.5	even	4	inner	144.3.w.a.101.35	yes	184
48.5	odd	4		432.3.x.a.197.12		184
144.5	odd	12	inner	144.3.w.a.5.20	✓	184
144.85	even	12		432.3.x.a.341.27		184

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
144.3.w.a.5.20	✓	184	144.5	odd	12	inner
144.3.w.a.29.20	yes	184	1.1	even	1	trivial
144.3.w.a.77.35	yes	184	9.5	odd	6	inner
144.3.w.a.101.35	yes	184	16.5	even	4	inner
432.3.x.a.125.12		184	9.4	even	3
432.3.x.a.197.12		184	48.5	odd	4
432.3.x.a.341.27		184	144.85	even	12
432.3.x.a.413.27		184	3.2	odd	2

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:	\( N \)	\(=\)	\( 144 = 2^{4} \cdot 3^{2} \)
Weight:	\( k \)	\(=\)	\( 3 \)
Character orbit:	\([\chi]\)	\(=\)	144.w (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.608739 + 1.90511i) q^{2} +(2.61769 + 1.46550i) q^{3} +(-3.25887 - 2.31943i) q^{4} +(-2.13498 + 7.96785i) q^{5} +(-4.38543 + 4.09487i) q^{6} +(-10.2471 - 5.91616i) q^{7} +(6.40256 - 4.79658i) q^{8} +(4.70460 + 7.67247i) q^{9} +O(q^{10})\)	\(q+(-0.608739 + 1.90511i) q^{2} +(2.61769 + 1.46550i) q^{3} +(-3.25887 - 2.31943i) q^{4} +(-2.13498 + 7.96785i) q^{5} +(-4.38543 + 4.09487i) q^{6} +(-10.2471 - 5.91616i) q^{7} +(6.40256 - 4.79658i) q^{8} +(4.70460 + 7.67247i) q^{9} +(-13.8800 - 8.91771i) q^{10} +(-2.67965 + 0.718009i) q^{11} +(-5.13159 - 10.8474i) q^{12} +(-0.984428 + 3.67394i) q^{13} +(17.5087 - 15.9204i) q^{14} +(-17.2656 + 17.7285i) q^{15} +(5.24051 + 15.1174i) q^{16} +3.92397i q^{17} +(-17.4808 + 4.29223i) q^{18} +(21.0377 + 21.0377i) q^{19} +(25.4385 - 21.0143i) q^{20} +(-18.1535 - 30.5038i) q^{21} +(0.263321 - 5.54210i) q^{22} +(-9.61304 - 16.6503i) q^{23} +(23.7893 - 3.17297i) q^{24} +(-37.2778 - 21.5224i) q^{25} +(-6.39999 - 4.11191i) q^{26} +(1.07114 + 26.9787i) q^{27} +(19.6718 + 43.0474i) q^{28} +(9.36387 + 34.9464i) q^{29} +(-23.2645 - 43.6849i) q^{30} +(-10.4943 - 18.1766i) q^{31} +(-31.9905 + 0.781157i) q^{32} +(-8.06673 - 2.04751i) q^{33} +(-7.47559 - 2.38868i) q^{34} +(69.0163 - 69.0163i) q^{35} +(2.46405 - 35.9156i) q^{36} +(7.79895 - 7.79895i) q^{37} +(-52.8856 + 27.2726i) q^{38} +(-7.96110 + 8.17454i) q^{39} +(24.5491 + 61.2552i) q^{40} +(15.2735 + 26.4545i) q^{41} +(69.1638 - 16.0156i) q^{42} +(7.11563 + 26.5559i) q^{43} +(10.3980 + 3.87535i) q^{44} +(-71.1773 + 21.1050i) q^{45} +(37.5724 - 8.17821i) q^{46} +(71.8427 + 41.4784i) q^{47} +(-8.43664 + 47.2528i) q^{48} +(45.5018 + 78.8114i) q^{49} +(63.6949 - 57.9168i) q^{50} +(-5.75060 + 10.2717i) q^{51} +(11.7296 - 9.68958i) q^{52} +(30.4049 + 30.4049i) q^{53} +(-52.0495 - 14.3824i) q^{54} -22.8839i q^{55} +(-93.9849 + 11.2724i) q^{56} +(24.2393 + 85.9010i) q^{57} +(-72.2769 - 3.43408i) q^{58} +(12.0510 - 44.9748i) q^{59} +(97.3865 - 17.7287i) q^{60} +(-53.0370 + 14.2112i) q^{61} +(41.0167 - 8.92791i) q^{62} +(-2.81687 - 106.454i) q^{63} +(17.9857 - 61.4208i) q^{64} +(-27.1716 - 15.6876i) q^{65} +(8.81126 - 14.1216i) q^{66} +(15.3702 - 57.3625i) q^{67} +(9.10137 - 12.7877i) q^{68} +(-0.762914 - 57.6732i) q^{69} +(89.4706 + 173.496i) q^{70} +43.4657 q^{71} +(66.9231 + 26.5575i) q^{72} -64.3392i q^{73} +(10.1103 + 19.6054i) q^{74} +(-66.0407 - 110.970i) q^{75} +(-19.7638 - 117.355i) q^{76} +(31.7064 + 8.49571i) q^{77} +(-10.7272 - 20.1429i) q^{78} +(-30.0354 + 52.0228i) q^{79} +(-131.642 + 9.48017i) q^{80} +(-36.7335 + 72.1917i) q^{81} +(-59.6962 + 12.9938i) q^{82} +(-20.1272 - 75.1158i) q^{83} +(-11.5913 + 141.514i) q^{84} +(-31.2656 - 8.37760i) q^{85} +(-54.9234 - 2.60957i) q^{86} +(-26.7024 + 105.202i) q^{87} +(-13.7126 + 17.4502i) q^{88} -3.34422 q^{89} +(3.12117 - 148.448i) q^{90} +(31.8231 - 31.8231i) q^{91} +(-7.29143 + 76.5579i) q^{92} +(-0.832851 - 62.9602i) q^{93} +(-122.754 + 111.619i) q^{94} +(-212.540 + 122.710i) q^{95} +(-84.8859 - 44.8373i) q^{96} +(60.3271 - 104.490i) q^{97} +(-177.843 + 38.7102i) q^{98} +(-18.1156 - 17.1816i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 184 q - 6 q^{2} - 4 q^{3} - 2 q^{4} - 6 q^{5} - 10 q^{6}+O(q^{10}) \) 184 * q - 6 * q^2 - 4 * q^3 - 2 * q^4 - 6 * q^5 - 10 * q^6	\( 184 q - 6 q^{2} - 4 q^{3} - 2 q^{4} - 6 q^{5} - 10 q^{6} - 8 q^{10} - 6 q^{11} - 64 q^{12} - 2 q^{13} - 6 q^{14} - 8 q^{15} - 2 q^{16} + 54 q^{18} - 8 q^{19} + 120 q^{20} - 22 q^{21} - 2 q^{22} - 160 q^{24} + 44 q^{27} - 72 q^{28} - 6 q^{29} - 90 q^{30} - 4 q^{31} - 6 q^{32} - 8 q^{33} + 6 q^{34} - 202 q^{36} - 8 q^{37} - 6 q^{38} - 2 q^{40} + 44 q^{42} - 2 q^{43} + 46 q^{45} - 160 q^{46} - 12 q^{47} - 118 q^{48} + 472 q^{49} + 228 q^{50} - 48 q^{51} - 2 q^{52} + 206 q^{54} - 300 q^{56} - 92 q^{58} - 438 q^{59} - 90 q^{60} - 2 q^{61} - 204 q^{63} + 244 q^{64} - 12 q^{65} - 508 q^{66} - 2 q^{67} - 144 q^{68} + 14 q^{69} + 96 q^{70} + 6 q^{72} + 246 q^{74} + 152 q^{75} - 158 q^{76} - 6 q^{77} + 304 q^{78} - 4 q^{79} - 8 q^{81} - 388 q^{82} - 726 q^{83} + 542 q^{84} + 48 q^{85} + 894 q^{86} + 22 q^{88} - 528 q^{90} - 204 q^{91} - 348 q^{92} + 62 q^{93} - 18 q^{94} - 12 q^{95} + 262 q^{96} - 4 q^{97} + 286 q^{99}+O(q^{100}) \) 184 * q - 6 * q^2 - 4 * q^3 - 2 * q^4 - 6 * q^5 - 10 * q^6 - 8 * q^10 - 6 * q^11 - 64 * q^12 - 2 * q^13 - 6 * q^14 - 8 * q^15 - 2 * q^16 + 54 * q^18 - 8 * q^19 + 120 * q^20 - 22 * q^21 - 2 * q^22 - 160 * q^24 + 44 * q^27 - 72 * q^28 - 6 * q^29 - 90 * q^30 - 4 * q^31 - 6 * q^32 - 8 * q^33 + 6 * q^34 - 202 * q^36 - 8 * q^37 - 6 * q^38 - 2 * q^40 + 44 * q^42 - 2 * q^43 + 46 * q^45 - 160 * q^46 - 12 * q^47 - 118 * q^48 + 472 * q^49 + 228 * q^50 - 48 * q^51 - 2 * q^52 + 206 * q^54 - 300 * q^56 - 92 * q^58 - 438 * q^59 - 90 * q^60 - 2 * q^61 - 204 * q^63 + 244 * q^64 - 12 * q^65 - 508 * q^66 - 2 * q^67 - 144 * q^68 + 14 * q^69 + 96 * q^70 + 6 * q^72 + 246 * q^74 + 152 * q^75 - 158 * q^76 - 6 * q^77 + 304 * q^78 - 4 * q^79 - 8 * q^81 - 388 * q^82 - 726 * q^83 + 542 * q^84 + 48 * q^85 + 894 * q^86 + 22 * q^88 - 528 * q^90 - 204 * q^91 - 348 * q^92 + 62 * q^93 - 18 * q^94 - 12 * q^95 + 262 * q^96 - 4 * q^97 + 286 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

Related objects

Downloads

Learn more