LMFDB - Embedded newform 418.2.j.d.177.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [418,2,Mod(23,418)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(418, base_ring=CyclotomicField(18))

chi = DirichletCharacter(H, H._module([0, 2]))

N = Newforms(chi, 2, names="a")

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

chi := DirichletCharacter("418.23");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 418 = 2 \cdot 11 \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	418.j (of order $9$, degree $6$, 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:	$3.33774680449$
Analytic rank:	$0$
Dimension:	$30$
Relative dimension:	$5$ over $\Q(\zeta_{9})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label			177.2
Character	$\chi$	$=$	418.177
Dual form			418.2.j.d.111.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.766044 - 0.642788i) q^{2} +(-2.46577 - 0.897465i) q^{3} +(0.173648 - 0.984808i) q^{4} +(-0.00995446 - 0.0564545i) q^{5} +(-2.46577 + 0.897465i) q^{6} +(-1.80146 + 3.12022i) q^{7} +(-0.500000 - 0.866025i) q^{8} +(2.97642 + 2.49751i) q^{9} +O(q^{10})$	\(q+(0.766044 - 0.642788i) q^{2} +(-2.46577 - 0.897465i) q^{3} +(0.173648 - 0.984808i) q^{4} +(-0.00995446 - 0.0564545i) q^{5} +(-2.46577 + 0.897465i) q^{6} +(-1.80146 + 3.12022i) q^{7} +(-0.500000 - 0.866025i) q^{8} +(2.97642 + 2.49751i) q^{9} +(-0.0439138 - 0.0368481i) q^{10} +(0.500000 + 0.866025i) q^{11} +(-1.31201 + 2.27246i) q^{12} +(-5.62390 + 2.04693i) q^{13} +(0.625641 + 3.54819i) q^{14} +(-0.0261206 + 0.148137i) q^{15} +(-0.939693 - 0.342020i) q^{16} +(2.74299 - 2.30164i) q^{17} +3.88544 q^{18} +(0.618472 + 4.31480i) q^{19} -0.0573255 q^{20} +(7.24228 - 6.07699i) q^{21} +(0.939693 + 0.342020i) q^{22} +(-0.759355 + 4.30652i) q^{23} +(0.455655 + 2.58415i) q^{24} +(4.69538 - 1.70898i) q^{25} +(-2.99241 + 5.18301i) q^{26} +(-1.16171 - 2.01213i) q^{27} +(2.76000 + 2.31592i) q^{28} +(4.07940 + 3.42302i) q^{29} +(0.0752114 + 0.130270i) q^{30} +(-4.70379 + 8.14721i) q^{31} +(-0.939693 + 0.342020i) q^{32} +(-0.455655 - 2.58415i) q^{33} +(0.621786 - 3.52632i) q^{34} +(0.194083 + 0.0706406i) q^{35} +(2.97642 - 2.49751i) q^{36} -9.77349 q^{37} +(3.24728 + 2.90778i) q^{38} +15.7043 q^{39} +(-0.0439138 + 0.0368481i) q^{40} +(-6.90238 - 2.51226i) q^{41} +(1.64169 - 9.31049i) q^{42} +(-1.70736 - 9.68290i) q^{43} +(0.939693 - 0.342020i) q^{44} +(0.111367 - 0.192894i) q^{45} +(2.18648 + 3.78709i) q^{46} +(-4.47742 - 3.75700i) q^{47} +(2.01011 + 1.68668i) q^{48} +(-2.99053 - 5.17976i) q^{49} +(2.49836 - 4.32728i) q^{50} +(-8.82922 + 3.21357i) q^{51} +(1.03925 + 5.89390i) q^{52} +(0.123071 - 0.697969i) q^{53} +(-2.18329 - 0.794653i) q^{54} +(0.0439138 - 0.0368481i) q^{55} +3.60292 q^{56} +(2.34738 - 11.1943i) q^{57} +5.32528 q^{58} +(-9.42870 + 7.91162i) q^{59} +(0.141351 + 0.0514476i) q^{60} +(0.253600 - 1.43823i) q^{61} +(1.63361 + 9.26466i) q^{62} +(-13.1547 + 4.78792i) q^{63} +(-0.500000 + 0.866025i) q^{64} +(0.171541 + 0.297118i) q^{65} +(-2.01011 - 1.68668i) q^{66} +(-8.41530 - 7.06127i) q^{67} +(-1.79036 - 3.10099i) q^{68} +(5.73734 - 9.93737i) q^{69} +(0.194083 - 0.0706406i) q^{70} +(1.07488 + 6.09592i) q^{71} +(0.674700 - 3.82641i) q^{72} +(11.6726 + 4.24847i) q^{73} +(-7.48693 + 6.28228i) q^{74} -13.1114 q^{75} +(4.35664 + 0.140181i) q^{76} -3.60292 q^{77} +(12.0302 - 10.0945i) q^{78} +(7.51487 + 2.73519i) q^{79} +(-0.00995446 + 0.0564545i) q^{80} +(-0.965426 - 5.47520i) q^{81} +(-6.90238 + 2.51226i) q^{82} +(-3.59931 + 6.23419i) q^{83} +(-4.72706 - 8.18751i) q^{84} +(-0.157243 - 0.131943i) q^{85} +(-7.53196 - 6.32007i) q^{86} +(-6.98680 - 12.1015i) q^{87} +(0.500000 - 0.866025i) q^{88} +(10.6689 - 3.88315i) q^{89} +(-0.0386775 - 0.219351i) q^{90} +(3.74435 - 21.2353i) q^{91} +(4.10923 + 1.49564i) q^{92} +(18.9103 - 15.8676i) q^{93} -5.84485 q^{94} +(0.237433 - 0.0778670i) q^{95} +2.62401 q^{96} +(-0.547663 + 0.459544i) q^{97} +(-5.62036 - 2.04565i) q^{98} +(-0.674700 + 3.82641i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 30 q - 15 q^{8}+O(q^{10}) $ 30 * q - 15 * q^8	$ 30 q - 15 q^{8} + 15 q^{11} - 3 q^{12} - 21 q^{13} - 9 q^{14} + 3 q^{15} + 6 q^{17} + 60 q^{18} - 9 q^{19} + 18 q^{20} - 39 q^{21} + 15 q^{23} + 24 q^{25} - 3 q^{27} + 9 q^{28} - 3 q^{29} - 21 q^{30} - 18 q^{31} + 15 q^{34} + 51 q^{35} - 18 q^{37} - 6 q^{38} - 6 q^{41} + 51 q^{42} + 39 q^{43} - 54 q^{45} - 21 q^{46} - 3 q^{47} - 33 q^{49} - 24 q^{50} - 48 q^{51} - 12 q^{52} - 24 q^{53} - 9 q^{54} - 6 q^{57} - 18 q^{58} + 21 q^{59} + 3 q^{60} + 63 q^{61} - 27 q^{62} + 57 q^{63} - 15 q^{64} - 6 q^{65} - 45 q^{67} - 21 q^{68} + 42 q^{69} + 51 q^{70} - 48 q^{71} + 87 q^{73} + 9 q^{74} + 42 q^{75} - 9 q^{76} - 36 q^{78} - 57 q^{79} + 36 q^{81} - 6 q^{82} - 30 q^{83} + 9 q^{84} + 81 q^{85} - 24 q^{86} - 9 q^{87} + 15 q^{88} - 6 q^{89} - 114 q^{90} - 51 q^{91} - 3 q^{92} + 33 q^{93} + 78 q^{94} - 132 q^{95} + 6 q^{96} - 66 q^{97} + 9 q^{98}+O(q^{100}) $ 30 * q - 15 * q^8 + 15 * q^11 - 3 * q^12 - 21 * q^13 - 9 * q^14 + 3 * q^15 + 6 * q^17 + 60 * q^18 - 9 * q^19 + 18 * q^20 - 39 * q^21 + 15 * q^23 + 24 * q^25 - 3 * q^27 + 9 * q^28 - 3 * q^29 - 21 * q^30 - 18 * q^31 + 15 * q^34 + 51 * q^35 - 18 * q^37 - 6 * q^38 - 6 * q^41 + 51 * q^42 + 39 * q^43 - 54 * q^45 - 21 * q^46 - 3 * q^47 - 33 * q^49 - 24 * q^50 - 48 * q^51 - 12 * q^52 - 24 * q^53 - 9 * q^54 - 6 * q^57 - 18 * q^58 + 21 * q^59 + 3 * q^60 + 63 * q^61 - 27 * q^62 + 57 * q^63 - 15 * q^64 - 6 * q^65 - 45 * q^67 - 21 * q^68 + 42 * q^69 + 51 * q^70 - 48 * q^71 + 87 * q^73 + 9 * q^74 + 42 * q^75 - 9 * q^76 - 36 * q^78 - 57 * q^79 + 36 * q^81 - 6 * q^82 - 30 * q^83 + 9 * q^84 + 81 * q^85 - 24 * q^86 - 9 * q^87 + 15 * q^88 - 6 * q^89 - 114 * q^90 - 51 * q^91 - 3 * q^92 + 33 * q^93 + 78 * q^94 - 132 * q^95 + 6 * q^96 - 66 * q^97 + 9 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/418\mathbb{Z}\right)^\times$.

$n$	$287$	$343$
$\chi(n)$	$e\left(\frac{7}{9}\right)$	$1$

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 $

$2$	0.766044	−	0.642788i	0.541675	−	0.454519i
$2$	0.766044	−	0.642788i	0.541675	−	0.454519i
$3$	−2.46577	−	0.897465i	−1.42361	−	0.518152i	−0.488517	−	0.872554i	$-0.662462\pi$
$3$	−2.46577	−	0.897465i	−1.42361	−	0.518152i	−0.935093	+	0.354402i	$0.884684\pi$
$4$	0.173648	−	0.984808i	0.0868241	−	0.492404i
$5$	−0.00995446	−	0.0564545i	−0.00445177	−	0.0252472i	0.982501	−	0.186258i	$-0.0596359\pi$
$5$	−0.00995446	−	0.0564545i	−0.00445177	−	0.0252472i	−0.986953	+	0.161010i	$0.948525\pi$
$6$	−2.46577	+	0.897465i	−1.00664	+	0.366389i
$7$	−1.80146	+	3.12022i	−0.680889	+	1.17933i	0.293821	+	0.955860i	$0.405073\pi$
$7$	−1.80146	+	3.12022i	−0.680889	+	1.17933i	−0.974710	+	0.223474i	$0.928260\pi$
$8$	−0.500000	−	0.866025i	−0.176777	−	0.306186i
$9$	2.97642	+	2.49751i	0.992140	+	0.832505i
$10$	−0.0439138	−	0.0368481i	−0.0138868	−	0.0116524i
$11$	0.500000	+	0.866025i	0.150756	+	0.261116i
$11$	0.500000	+	0.866025i	0.150756	+	0.261116i
$12$	−1.31201	+	2.27246i	−0.378744	+	0.656003i
$13$	−5.62390	+	2.04693i	−1.55979	+	0.567716i	−0.970688	−	0.240344i	$-0.922740\pi$
$13$	−5.62390	+	2.04693i	−1.55979	+	0.567716i	−0.589100	+	0.808060i	$0.700518\pi$
$14$	0.625641	+	3.54819i	0.167210	+	0.948293i
$15$	−0.0261206	+	0.148137i	−0.00674432	+	0.0382489i
$16$	−0.939693	−	0.342020i	−0.234923	−	0.0855050i
$17$	2.74299	−	2.30164i	0.665273	−	0.558230i	−0.246389	−	0.969171i	$-0.579244\pi$
$17$	2.74299	−	2.30164i	0.665273	−	0.558230i	0.911662	+	0.410941i	$0.134800\pi$
$18$	3.88544			0.915807
$19$	0.618472	+	4.31480i	0.141887	+	0.989883i
$19$	0.618472	+	4.31480i	0.141887	+	0.989883i
$20$	−0.0573255			−0.0128184
$21$	7.24228	−	6.07699i	1.58039	−	1.32611i
$22$	0.939693	+	0.342020i	0.200343	+	0.0729189i
$23$	−0.759355	+	4.30652i	−0.158337	+	0.897971i	0.797335	+	0.603537i	$0.206242\pi$
$23$	−0.759355	+	4.30652i	−0.158337	+	0.897971i	−0.955672	+	0.294434i	$0.904869\pi$
$24$	0.455655	+	2.58415i	0.0930102	+	0.527487i
$25$	4.69538	−	1.70898i	0.939075	−	0.341795i
$26$	−2.99241	+	5.18301i	−0.586860	+	1.01647i
$27$	−1.16171	−	2.01213i	−0.223570	−	0.387235i
$28$	2.76000	+	2.31592i	0.521591	+	0.437667i
$29$	4.07940	+	3.42302i	0.757525	+	0.635639i	0.937481	−	0.348035i	$-0.113151\pi$
$29$	4.07940	+	3.42302i	0.757525	+	0.635639i	−0.179956	+	0.983675i	$0.557596\pi$
$30$	0.0752114	+	0.130270i	0.0137317	+	0.0237839i
$31$	−4.70379	+	8.14721i	−0.844826	+	1.46328i	0.0409460	+	0.999161i	$0.486963\pi$
$31$	−4.70379	+	8.14721i	−0.844826	+	1.46328i	−0.885772	+	0.464120i	$0.846370\pi$
$32$	−0.939693	+	0.342020i	−0.166116	+	0.0604612i
$33$	−0.455655	−	2.58415i	−0.0793194	−	0.449842i
$34$	0.621786	−	3.52632i	0.106635	−	0.604759i
$35$	0.194083	+	0.0706406i	0.0328061	+	0.0119404i
$36$	2.97642	−	2.49751i	0.496070	−	0.416252i
$37$	−9.77349			−1.60675			−0.803376	−	0.595472i	$-0.796965\pi$
$37$	−9.77349			−1.60675			−0.803376	+	0.595472i	$0.796965\pi$
$38$	3.24728	+	2.90778i	0.526778	+	0.471705i
$39$	15.7043			2.51469
$40$	−0.0439138	+	0.0368481i	−0.00694339	+	0.00582619i
$41$	−6.90238	−	2.51226i	−1.07797	−	0.392349i	−0.258819	−	0.965926i	$-0.583333\pi$
$41$	−6.90238	−	2.51226i	−1.07797	−	0.392349i	−0.819152	+	0.573577i	$0.805556\pi$
$42$	1.64169	−	9.31049i	0.253318	−	1.43664i
$43$	−1.70736	−	9.68290i	−0.260369	−	1.47663i	−0.781904	−	0.623399i	$-0.785751\pi$
$43$	−1.70736	−	9.68290i	−0.260369	−	1.47663i	0.521535	−	0.853230i	$-0.325360\pi$
$44$	0.939693	−	0.342020i	0.141664	−	0.0515615i
$45$	0.111367	−	0.192894i	0.0166017	−	0.0287549i
$46$	2.18648	+	3.78709i	0.322378	+	0.558376i
$47$	−4.47742	−	3.75700i	−0.653099	−	0.548015i	0.254911	−	0.966965i	$-0.417954\pi$
$47$	−4.47742	−	3.75700i	−0.653099	−	0.548015i	−0.908009	+	0.418950i	$0.862398\pi$
$48$	2.01011	+	1.68668i	0.290134	+	0.243452i
$49$	−2.99053	−	5.17976i	−0.427219	−	0.739965i
$50$	2.49836	−	4.32728i	0.353321	−	0.611970i
$51$	−8.82922	+	3.21357i	−1.23634	+	0.449990i
$52$	1.03925	+	5.89390i	0.144119	+	0.817337i
$53$	0.123071	−	0.697969i	0.0169051	−	0.0958734i	−0.975188	−	0.221379i	$-0.928944\pi$
$53$	0.123071	−	0.697969i	0.0169051	−	0.0958734i	0.992093	+	0.125506i	$0.0400553\pi$
$54$	−2.18329	−	0.794653i	−0.297108	−	0.108139i
$55$	0.0439138	−	0.0368481i	0.00592134	−	0.00496860i
$56$	3.60292			0.481461
$57$	2.34738	−	11.1943i	0.310918	−	1.48273i
$58$	5.32528			0.699243
$59$	−9.42870	+	7.91162i	−1.22751	+	1.03000i	−0.229116	+	0.973399i	$0.573583\pi$
$59$	−9.42870	+	7.91162i	−1.22751	+	1.03000i	−0.998397	+	0.0566057i	$0.981972\pi$
$60$	0.141351	+	0.0514476i	0.0182483	+	0.00664186i
$61$	0.253600	−	1.43823i	0.0324701	−	0.184147i	−0.964259	−	0.264961i	$-0.914641\pi$
$61$	0.253600	−	1.43823i	0.0324701	−	0.184147i	0.996729	+	0.0808141i	$0.0257520\pi$
$62$	1.63361	+	9.26466i	0.207469	+	1.17661i
$63$	−13.1547	+	4.78792i	−1.65734	+	0.603222i
$64$	−0.500000	+	0.866025i	−0.0625000	+	0.108253i
$65$	0.171541	+	0.297118i	0.0212771	+	0.0368530i
$66$	−2.01011	−	1.68668i	−0.247427	−	0.207616i
$67$	−8.41530	−	7.06127i	−1.02809	−	0.862672i	−0.0374693	−	0.999298i	$-0.511930\pi$
$67$	−8.41530	−	7.06127i	−1.02809	−	0.862672i	−0.990623	+	0.136626i	$0.956374\pi$
$68$	−1.79036	−	3.10099i	−0.217113	−	0.376051i
$69$	5.73734	−	9.93737i	0.690695	−	1.19632i
$70$	0.194083	−	0.0706406i	0.0231974	−	0.00844317i
$71$	1.07488	+	6.09592i	0.127564	+	0.723453i	0.979752	+	0.200216i	$0.0641645\pi$
$71$	1.07488	+	6.09592i	0.127564	+	0.723453i	−0.852188	+	0.523237i	$0.824724\pi$
$72$	0.674700	−	3.82641i	0.0795141	−	0.450947i
$73$	11.6726	+	4.24847i	1.36617	+	0.497246i	0.917957	−	0.396679i	$-0.129837\pi$
$73$	11.6726	+	4.24847i	1.36617	+	0.497246i	0.448216	+	0.893925i	$0.352060\pi$
$74$	−7.48693	+	6.28228i	−0.870338	+	0.730300i
$75$	−13.1114			−1.51398
$76$	4.35664	+	0.140181i	0.499741	+	0.0160799i
$77$	−3.60292			−0.410591
$78$	12.0302	−	10.0945i	1.36215	−	1.14298i
$79$	7.51487	+	2.73519i	0.845489	+	0.307733i	0.728200	−	0.685365i	$-0.240357\pi$
$79$	7.51487	+	2.73519i	0.845489	+	0.307733i	0.117289	+	0.993098i	$0.462580\pi$
$80$	−0.00995446	+	0.0564545i	−0.00111294	+	0.00631181i
$81$	−0.965426	−	5.47520i	−0.107270	−	0.608356i
$82$	−6.90238	+	2.51226i	−0.762241	+	0.277433i
$83$	−3.59931	+	6.23419i	−0.395076	+	0.684292i	−0.993111	−	0.117178i	$-0.962615\pi$
$83$	−3.59931	+	6.23419i	−0.395076	+	0.684292i	0.598035	+	0.801470i	$0.295948\pi$
$84$	−4.72706	−	8.18751i	−0.515765	−	0.893330i
$85$	−0.157243	−	0.131943i	−0.0170554	−	0.0143112i
$86$	−7.53196	−	6.32007i	−0.812192	−	0.681510i
$87$	−6.98680	−	12.1015i	−0.749063	−	1.29742i
$88$	0.500000	−	0.866025i	0.0533002	−	0.0923186i
$89$	10.6689	−	3.88315i	1.13090	−	0.411613i	0.292279	−	0.956333i	$-0.405586\pi$
$89$	10.6689	−	3.88315i	1.13090	−	0.411613i	0.838618	+	0.544720i	$0.183364\pi$
$90$	−0.0386775	−	0.219351i	−0.00407696	−	0.0231216i
$91$	3.74435	−	21.2353i	0.392515	−	2.22606i
$92$	4.10923	+	1.49564i	0.428417	+	0.155931i
$93$	18.9103	−	15.8676i	1.96091	−	1.64539i
$94$	−5.84485			−0.602851
$95$	0.237433	−	0.0778670i	0.0243602	−	0.00798899i
$96$	2.62401			0.267812
$97$	−0.547663	+	0.459544i	−0.0556067	+	0.0466596i	−0.670167	−	0.742210i	$-0.733778\pi$
$97$	−0.547663	+	0.459544i	−0.0556067	+	0.0466596i	0.614561	+	0.788870i	$0.289333\pi$
$98$	−5.62036	−	2.04565i	−0.567742	−	0.206641i
$99$	−0.674700	+	3.82641i	−0.0678099	+	0.384569i
$100$	−0.867670	−	4.92080i	−0.0867670	−	0.492080i
$101$	−12.8495	+	4.67682i	−1.27857	+	0.465361i	−0.889959	−	0.456041i	$-0.849267\pi$
$101$	−12.8495	+	4.67682i	−1.27857	+	0.465361i	−0.388610	+	0.921402i	$0.627045\pi$
$102$	−4.69793	+	8.13705i	−0.465164	+	0.805688i
$103$	0.0149808	+	0.0259475i	0.00147610	+	0.00255668i	0.866763	−	0.498721i	$-0.166197\pi$
$103$	0.0149808	+	0.0259475i	0.00147610	+	0.00255668i	−0.865286	+	0.501278i	$0.832863\pi$
$104$	4.58464	+	3.84697i	0.449561	+	0.377227i
$105$	−0.415167	−	0.348366i	−0.0405161	−	0.0339971i
$106$	−0.354368	−	0.613783i	−0.0344193	−	0.0596159i
$107$	2.58864	−	4.48365i	0.250253	−	0.433451i	−0.713342	−	0.700816i	$-0.752820\pi$
$107$	2.58864	−	4.48365i	0.250253	−	0.433451i	0.963595	+	0.267365i	$0.0861529\pi$
$108$	−2.18329	+	0.794653i	−0.210087	+	0.0764656i
$109$	0.978795	+	5.55102i	0.0937515	+	0.531691i	0.995123	+	0.0986441i	$0.0314506\pi$
$109$	0.978795	+	5.55102i	0.0937515	+	0.531691i	−0.901371	+	0.433047i	$0.857438\pi$
$110$	0.00995446	−	0.0564545i	0.000949121	−	0.00538273i
$111$	24.0991	+	8.77137i	2.28739	+	0.832541i
$112$	2.76000	−	2.31592i	0.260796	−	0.218833i
$113$	−1.11371			−0.104769			−0.0523844	−	0.998627i	$-0.516682\pi$
$113$	−1.11371			−0.104769			−0.0523844	+	0.998627i	$0.516682\pi$
$114$	−5.39739	−	10.0842i	−0.505512	−	0.944474i
$115$	0.250681			0.0233762
$116$	4.07940	−	3.42302i	0.378763	−	0.317820i
$117$	−21.8513	−	7.95323i	−2.02016	−	0.735276i
$118$	−2.13731	+	12.1213i	−0.196756	+	1.11586i
$119$	2.24025	+	12.7051i	0.205363	+	1.16467i
$120$	0.141351	−	0.0514476i	0.0129035	−	0.00469650i
$121$	−0.500000	+	0.866025i	−0.0454545	+	0.0787296i
$122$	−0.730211	−	1.26476i	−0.0661102	−	0.114506i
$123$	14.7650	+	12.3893i	1.33131	+	1.11711i
$124$	7.20663	+	6.04708i	0.647174	+	0.543044i
$125$	−0.286533	−	0.496290i	−0.0256283	−	0.0443895i
$126$	−6.99948	+	12.1235i	−0.623563	+	1.08004i
$127$	−4.87954	+	1.77601i	−0.432989	+	0.157595i	−0.549314	−	0.835616i	$-0.685111\pi$
$127$	−4.87954	+	1.77601i	−0.432989	+	0.157595i	0.116325	+	0.993211i	$0.462889\pi$
$128$	0.173648	+	0.984808i	0.0153485	+	0.0870455i
$129$	−4.48013	+	25.4081i	−0.394453	+	2.23705i
$130$	0.322392	+	0.117341i	0.0282757	+	0.0102915i
$131$	12.2157	−	10.2502i	1.06729	−	0.895565i	0.0724880	−	0.997369i	$-0.476906\pi$
$131$	12.2157	−	10.2502i	1.06729	−	0.895565i	0.994804	+	0.101805i	$0.0324616\pi$
$132$	−2.62401			−0.228391
$133$	−14.5773	−	5.84318i	−1.26401	−	0.506668i
$134$	−10.9854			−0.948993
$135$	−0.102030	+	0.0856133i	−0.00878134	+	0.00736842i
$136$	−3.36478	−	1.22468i	−0.288527	−	0.105015i
$137$	−2.96810	+	16.8329i	−0.253582	+	1.43814i	0.546104	+	0.837717i	$0.316110\pi$
$137$	−2.96810	+	16.8329i	−0.253582	+	1.43814i	−0.799686	+	0.600418i	$0.795001\pi$
$138$	−1.99256	−	11.3004i	−0.169618	−	0.961950i
$139$	1.96024	−	0.713470i	0.166266	−	0.0605157i	−0.257546	−	0.966266i	$-0.582914\pi$
$139$	1.96024	−	0.713470i	0.166266	−	0.0605157i	0.423812	+	0.905750i	$0.360692\pi$
$140$	0.103270	−	0.178868i	0.00872788	−	0.0151171i
$141$	7.66849	+	13.2822i	0.645803	+	1.11856i
$142$	4.74178	+	3.97883i	0.397922	+	0.333896i
$143$	−4.58464	−	3.84697i	−0.383387	−	0.321700i
$144$	−1.94272	−	3.36489i	−0.161893	−	0.280408i
$145$	0.152637	−	0.264375i	0.0126758	−	0.0219551i
$146$	11.6726	−	4.24847i	0.966030	−	0.351606i
$147$	2.72530	+	15.4560i	0.224779	+	1.27479i
$148$	−1.69715	+	9.62501i	−0.139505	+	0.791171i
$149$	7.36628	+	2.68110i	0.603469	+	0.219645i	0.625643	−	0.780109i	$-0.284837\pi$
$149$	7.36628	+	2.68110i	0.603469	+	0.219645i	−0.0221743	+	0.999754i	$0.507059\pi$
$150$	−10.0439	+	8.42787i	−0.820085	+	0.688133i
$151$	12.1306			0.987174			0.493587	−	0.869697i	$-0.335686\pi$
$151$	12.1306			0.987174			0.493587	+	0.869697i	$0.335686\pi$
$152$	3.42749	−	2.69301i	0.278006	−	0.218432i
$153$	13.9127			1.12477
$154$	−2.76000	+	2.31592i	−0.222407	+	0.186622i
$155$	0.506771	+	0.184449i	0.0407048	+	0.0148153i
$156$	2.72702	−	15.4657i	0.218336	−	1.23824i
$157$	0.303572	+	1.72164i	0.0242277	+	0.137402i	0.994522	−	0.104524i	$-0.0333320\pi$
$157$	0.303572	+	1.72164i	0.0242277	+	0.137402i	−0.970295	+	0.241926i	$0.922221\pi$
$158$	7.51487	−	2.73519i	0.597851	−	0.217600i
$159$	−0.929866	+	1.61057i	−0.0737432	+	0.127727i
$160$	0.0286627	+	0.0496453i	0.00226599	+	0.00392481i
$161$	−12.0694	−	10.1274i	−0.951198	−	0.798150i
$162$	−4.25895	−	3.57368i	−0.334615	−	0.280775i
$163$	−4.95770	−	8.58699i	−0.388317	−	0.672585i	0.603906	−	0.797055i	$-0.293610\pi$
$163$	−4.95770	−	8.58699i	−0.388317	−	0.672585i	−0.992223	+	0.124470i	$0.960277\pi$
$164$	−3.67268	+	6.36127i	−0.286788	+	0.496732i
$165$	−0.141351	+	0.0514476i	−0.0110042	+	0.00400519i
$166$	1.25003	+	7.08926i	0.0970210	+	0.550233i
$167$	0.570867	−	3.23755i	0.0441750	−	0.250529i	−0.954721	−	0.297502i	$-0.903846\pi$
$167$	0.570867	−	3.23755i	0.0441750	−	0.250529i	0.998896	+	0.0469732i	$0.0149575\pi$
$168$	−8.88397	−	3.23350i	−0.685413	−	0.249470i
$169$	17.4797	−	14.6672i	1.34459	−	1.12825i
$170$	−0.205266			−0.0157432
$171$	−8.93544	+	14.3873i	−0.683310	+	1.10022i
$172$	−9.83228			−0.749704
$173$	−0.630454	+	0.529014i	−0.0479325	+	0.0402202i	−0.666439	−	0.745559i	$-0.732182\pi$
$173$	−0.630454	+	0.529014i	−0.0479325	+	0.0402202i	0.618507	+	0.785780i	$0.287738\pi$
$174$	−13.1309	−	4.77925i	−0.995450	−	0.362314i
$175$	−3.12615	+	17.7293i	−0.236315	+	1.34021i
$176$	−0.173648	−	0.984808i	−0.0130892	−	0.0742327i
$177$	30.3494	−	11.0463i	2.28120	−	0.830288i
$178$	5.67678	−	9.83247i	0.425493	−	0.736975i
$179$	4.94934	+	8.57251i	0.369931	+	0.640739i	0.989554	−	0.144160i	$-0.0460480\pi$
$179$	4.94934	+	8.57251i	0.369931	+	0.640739i	−0.619623	+	0.784899i	$0.712715\pi$
$180$	−0.170625	−	0.143171i	−0.0127176	−	0.0106713i
$181$	−14.2544	−	11.9609i	−1.05952	−	0.889044i	−0.0654594	−	0.997855i	$-0.520851\pi$
$181$	−14.2544	−	11.9609i	−1.05952	−	0.889044i	−0.994062	+	0.108811i	$0.965296\pi$
$182$	−10.7814	−	18.6740i	−0.799173	−	1.38421i
$183$	−1.91608	+	3.31875i	−0.141641	+	0.245329i
$184$	4.10923	−	1.49564i	0.302937	−	0.110260i
$185$	0.0972898	+	0.551758i	0.00715289	+	0.0405661i
$186$	4.28661	−	24.3106i	0.314310	−	1.78254i
$187$	3.36478	+	1.22468i	0.246057	+	0.0895574i
$188$	−4.47742	+	3.75700i	−0.326549	+	0.274007i
$189$	8.37107			0.608906
$190$	0.131833	−	0.212269i	0.00956415	−	0.0153996i
$191$	10.7555			0.778242			0.389121	−	0.921187i	$-0.372779\pi$
$191$	10.7555			0.778242			0.389121	+	0.921187i	$0.372779\pi$
$192$	2.01011	−	1.68668i	0.145067	−	0.121726i
$193$	14.6426	+	5.32948i	1.05400	+	0.383624i	0.810171	−	0.586194i	$-0.199374\pi$
$193$	14.6426	+	5.32948i	1.05400	+	0.383624i	0.243829	+	0.969818i	$0.421597\pi$
$194$	−0.124145	+	0.704062i	−0.00891310	+	0.0505487i
$195$	−0.156327	−	0.886577i	−0.0111948	−	0.0634891i
$196$	−5.62036	+	2.04565i	−0.401455	+	0.146118i
$197$	−0.376036	+	0.651313i	−0.0267914	+	0.0464041i	−0.879110	−	0.476618i	$-0.841862\pi$
$197$	−0.376036	+	0.651313i	−0.0267914	+	0.0464041i	0.852319	+	0.523023i	$0.175196\pi$
$198$	1.94272	+	3.36489i	0.138063	+	0.239132i
$199$	−13.7776	−	11.5608i	−0.976668	−	0.819522i	0.00691551	−	0.999976i	$-0.497799\pi$
$199$	−13.7776	−	11.5608i	−0.976668	−	0.819522i	−0.983583	+	0.180454i	$0.942243\pi$
$200$	−3.82770	−	3.21183i	−0.270660	−	0.227110i
$201$	14.4129	+	24.9639i	1.01661	+	1.76082i
$202$	−6.83706	+	11.8421i	−0.481054	+	0.833209i
$203$	−18.0295	+	6.56219i	−1.26542	+	0.460576i
$204$	1.63157	+	9.25311i	0.114233	+	0.647847i
$205$	−0.0731191	+	0.414679i	−0.00510686	+	0.0289624i
$206$	0.0281547	+	0.0102475i	0.00196163	+	0.000713975i
$207$	−13.0157	+	10.9215i	−0.904657	+	0.759097i
$208$	5.98483			0.414973
$209$	−3.42749	+	2.69301i	−0.237084	+	0.186280i
$210$	−0.541962			−0.0373989
$211$	17.0019	−	14.2663i	1.17046	−	0.982134i	0.170467	−	0.985363i	$-0.445472\pi$
$211$	17.0019	−	14.2663i	1.17046	−	0.982134i	0.999995	+	0.00322901i	$0.00102783\pi$
$212$	−0.665994	−	0.242402i	−0.0457406	−	0.0166482i
$213$	2.82049	−	15.9958i	0.193257	−	1.09601i
$214$	−0.899024	−	5.09862i	−0.0614560	−	0.348534i
$215$	−0.529648	+	0.192776i	−0.0361217	+	0.0131472i
$216$	−1.16171	+	2.01213i	−0.0790440	+	0.136908i
$217$	−16.9474	−	29.3538i	−1.15047	−	1.99266i
$218$	4.31793	+	3.62317i	0.292447	+	0.245392i
$219$	−24.9690	−	20.9515i	−1.68725	−	1.41577i
$220$	−0.0286627	−	0.0496453i	−0.00193244	−	0.00334709i
$221$	−10.7150	+	18.5589i	−0.720768	+	1.24841i
$222$	24.0991	−	8.77137i	1.61743	−	0.588696i
$223$	1.64875	+	9.35053i	0.110409	+	0.626158i	0.988922	+	0.148439i	$0.0474250\pi$
$223$	1.64875	+	9.35053i	0.110409	+	0.626158i	−0.878513	+	0.477718i	$0.841464\pi$
$224$	0.625641	−	3.54819i	0.0418024	−	0.237073i
$225$	18.2436	+	6.64013i	1.21624	+	0.442675i
$226$	−0.853149	+	0.715877i	−0.0567506	+	0.0476194i
$227$	23.7204			1.57438			0.787188	−	0.616713i	$-0.211536\pi$
$227$	23.7204			1.57438			0.787188	+	0.616713i	$0.211536\pi$
$228$	−10.6167	−	4.25559i	−0.703105	−	0.281833i
$229$	8.73486			0.577216			0.288608	−	0.957447i	$-0.406808\pi$
$229$	8.73486			0.577216			0.288608	+	0.957447i	$0.406808\pi$
$230$	0.192033	−	0.161135i	0.0126623	−	0.0106249i
$231$	8.88397	+	3.23350i	0.584522	+	0.212749i
$232$	0.924725	−	5.24437i	0.0607112	−	0.344310i
$233$	4.82932	+	27.3885i	0.316379	+	1.79428i	0.564378	+	0.825517i	$0.309116\pi$
$233$	4.82932	+	27.3885i	0.316379	+	1.79428i	−0.247998	+	0.968760i	$0.579773\pi$
$234$	−21.8513	+	7.95323i	−1.42847	+	0.519919i
$235$	−0.167529	+	0.290170i	−0.0109284	+	0.0189286i
$236$	6.15415	+	10.6593i	0.400601	+	0.693861i
$237$	−16.0752	−	13.4887i	−1.04419	−	0.876183i
$238$	9.88279	+	8.29264i	0.640606	+	0.537532i
$239$	−6.05287	−	10.4839i	−0.391528	−	0.678146i	0.601123	−	0.799156i	$-0.294720\pi$
$239$	−6.05287	−	10.4839i	−0.391528	−	0.678146i	−0.992651	+	0.121010i	$0.961387\pi$
$240$	0.0752114	−	0.130270i	0.00485487	−	0.00840888i
$241$	8.10053	−	2.94835i	0.521801	−	0.189920i	−0.0676727	−	0.997708i	$-0.521557\pi$
$241$	8.10053	−	2.94835i	0.521801	−	0.189920i	0.589474	+	0.807788i	$0.299335\pi$
$242$	0.173648	+	0.984808i	0.0111625	+	0.0633058i
$243$	−3.74366	+	21.2313i	−0.240156	+	1.36199i
$244$	−1.37235	−	0.499494i	−0.0878555	−	0.0319768i
$245$	−0.262652	+	0.220391i	−0.0167802	+	0.0140803i
$246$	19.2743			1.22889
$247$	−12.3103	−	23.0000i	−0.783287	−	1.46346i
$248$	9.40759			0.597382
$249$	14.4700	−	12.1418i	0.917001	−	0.769455i
$250$	−0.538506	−	0.196000i	−0.0340581	−	0.0123961i
$251$	−3.97521	+	22.5445i	−0.250913	+	1.42300i	0.555436	+	0.831559i	$0.312551\pi$
$251$	−3.97521	+	22.5445i	−0.250913	+	1.42300i	−0.806349	+	0.591440i	$0.798560\pi$
$252$	2.43089	+	13.7863i	0.153132	+	0.868454i
$253$	−4.10923	+	1.49564i	−0.258345	+	0.0940299i
$254$	−2.59635	+	4.49701i	−0.162909	+	0.282168i
$255$	0.269311	+	0.466460i	0.0168649	+	0.0292109i
$256$	0.766044	+	0.642788i	0.0478778	+	0.0401742i
$257$	−5.20878	−	4.37069i	−0.324915	−	0.272636i	0.465709	−	0.884938i	$-0.345799\pi$
$257$	−5.20878	−	4.37069i	−0.324915	−	0.272636i	−0.790624	+	0.612302i	$0.790244\pi$
$258$	12.9000	+	22.3435i	0.803119	+	1.39104i
$259$	17.6066	−	30.4955i	1.09402	−	1.89490i
$260$	0.322392	−	0.117341i	0.0199939	−	0.00727719i
$261$	3.59296	+	20.3767i	0.222399	+	1.26129i
$262$	2.76908	−	15.7042i	0.171074	−	0.970210i
$263$	−5.56588	−	2.02582i	−0.343207	−	0.124917i	0.164665	−	0.986350i	$-0.447346\pi$
$263$	−5.56588	−	2.02582i	−0.343207	−	0.124917i	−0.507872	+	0.861432i	$0.669568\pi$
$264$	−2.01011	+	1.68668i	−0.123714	+	0.103808i
$265$	−0.0406286			−0.00249580
$266$	−14.9228	+	4.89397i	−0.914974	+	0.300069i
$267$	−29.7919			−1.82323
$268$	−8.41530	+	7.06127i	−0.514046	+	0.431336i
$269$	−4.13413	−	1.50470i	−0.252062	−	0.0917431i	0.212899	−	0.977074i	$-0.431709\pi$
$269$	−4.13413	−	1.50470i	−0.252062	−	0.0917431i	−0.464961	+	0.885331i	$0.653932\pi$
$270$	−0.0231283	+	0.131167i	−0.00140754	+	0.00798258i
$271$	−1.00446	−	5.69656i	−0.0610164	−	0.346041i	−0.999998	−	0.00207343i	$-0.999340\pi$
$271$	−1.00446	−	5.69656i	−0.0610164	−	0.346041i	0.938981	−	0.343968i	$-0.111771\pi$
$272$	−3.36478	+	1.22468i	−0.204020	+	0.0742570i
$273$	−28.2906	+	49.0008i	−1.71223	+	2.96566i
$274$	8.54631	+	14.8026i	0.516301	+	0.894260i
$275$	3.82770	+	3.21183i	0.230819	+	0.193680i
$276$	−8.79012	−	7.37578i	−0.529103	−	0.443970i
$277$	2.74888	+	4.76119i	0.165164	+	0.286072i	0.936713	−	0.350097i	$-0.113851\pi$
$277$	2.74888	+	4.76119i	0.165164	+	0.286072i	−0.771550	+	0.636169i	$0.780518\pi$
$278$	1.04302	−	1.80657i	0.0625564	−	0.108351i
$279$	−34.3482	+	12.5017i	−2.05638	+	0.748459i
$280$	−0.0358652	−	0.203401i	−0.00214335	−	0.0121556i
$281$	1.06236	−	6.02494i	0.0633751	−	0.359418i	−0.936585	−	0.350441i	$-0.886032\pi$
$281$	1.06236	−	6.02494i	0.0633751	−	0.359418i	0.999960	−	0.00897641i	$-0.00285732\pi$
$282$	14.4120	+	5.24555i	0.858224	+	0.312368i
$283$	−16.7126	+	14.0235i	−0.993461	+	0.833613i	−0.986065	−	0.166360i	$-0.946799\pi$
$283$	−16.7126	+	14.0235i	−0.993461	+	0.833613i	−0.00739605	+	0.999973i	$0.502354\pi$
$284$	6.18996			0.367307
$285$	−0.655338	−	0.0210865i	−0.0388189	−	0.00124905i
$286$	−5.98483			−0.353890
$287$	20.2732	−	17.0112i	1.19669	−	1.00414i
$288$	−3.65112	−	1.32890i	−0.215144	−	0.0783061i
$289$	−0.725579	+	4.11496i	−0.0426811	+	0.242057i
$290$	−0.0530103	−	0.300636i	−0.00311287	−	0.0176540i
$291$	1.76283	−	0.641618i	0.103339	−	0.0376123i
$292$	6.21085	−	10.7575i	0.363463	−	0.629536i
$293$	4.30540	+	7.45716i	0.251524	+	0.435652i	0.963946	−	0.266099i	$-0.0857350\pi$
$293$	4.30540	+	7.45716i	0.251524	+	0.435652i	−0.712422	+	0.701752i	$0.752402\pi$
$294$	12.0226	+	10.0882i	0.701172	+	0.588353i
$295$	0.540504	+	0.453537i	0.0314694	+	0.0264059i
$296$	4.88675	+	8.46409i	0.284036	+	0.491965i
$297$	1.16171	−	2.01213i	0.0674090	−	0.116756i
$298$	7.36628	−	2.68110i	0.426717	−	0.155312i
$299$	−4.54461	−	25.7738i	−0.262821	−	1.49053i
$300$	−2.27678	+	12.9122i	−0.131450	+	0.745489i
$301$	33.2886	+	12.1160i	1.91872	+	0.698357i
$302$	9.29257	−	7.79740i	0.534728	−	0.448690i
$303$	35.8810			2.06131
$304$	0.894575	−	4.26611i	0.0513074	−	0.244678i
$305$	−0.0837193			−0.00479375
$306$	10.6577	−	8.94290i	0.609262	−	0.511231i
$307$	−7.44960	−	2.71143i	−0.425171	−	0.154750i	0.120567	−	0.992705i	$-0.461529\pi$
$307$	−7.44960	−	2.71143i	−0.425171	−	0.154750i	−0.545739	+	0.837956i	$0.683751\pi$
$308$	−0.625641	+	3.54819i	−0.0356492	+	0.202177i
$309$	−0.0136521	−	0.0774252i	−0.000776643	−	0.00440456i
$310$	0.506771	−	0.184449i	0.0287826	−	0.0104760i
$311$	−5.73938	+	9.94090i	−0.325451	+	0.563697i	−0.981603	−	0.190931i	$-0.938849\pi$
$311$	−5.73938	+	9.94090i	−0.325451	+	0.563697i	0.656153	+	0.754628i	$0.272183\pi$
$312$	−7.85213	−	13.6003i	−0.444539	−	0.769965i
$313$	8.01492	+	6.72532i	0.453030	+	0.380138i	0.840559	−	0.541720i	$-0.182227\pi$
$313$	8.01492	+	6.72532i	0.453030	+	0.380138i	−0.387529	+	0.921858i	$0.626671\pi$
$314$	1.33920	+	1.12372i	0.0755754	+	0.0634153i
$315$	0.401248	+	0.694982i	0.0226078	+	0.0391578i
$316$	3.99858	−	6.92574i	0.224938	−	0.389603i
$317$	6.71669	−	2.44468i	0.377247	−	0.137307i	−0.146435	−	0.989220i	$-0.546780\pi$
$317$	6.71669	−	2.44468i	0.377247	−	0.137307i	0.523682	+	0.851914i	$0.324558\pi$
$318$	0.322939	+	1.83148i	0.0181095	+	0.102704i
$319$	−0.924725	+	5.24437i	−0.0517746	+	0.293629i
$320$	0.0538683	+	0.0196065i	0.00301133	+	0.00109603i
$321$	−10.4069	+	8.73242i	−0.580856	+	0.487396i
$322$	−15.7554			−0.878015
$323$	11.6276	+	10.4120i	0.646976	+	0.579337i
$324$	−5.55967			−0.308870
$325$	−22.9081	+	19.2222i	−1.27072	+	1.06626i
$326$	−9.31743	−	3.39127i	−0.516045	−	0.187825i
$327$	2.56837	−	14.5659i	0.142031	−	0.805499i
$328$	1.27551	+	7.23377i	0.0704282	+	0.399418i
$329$	19.7886	−	7.20245i	1.09098	−	0.397084i
$330$	−0.0752114	+	0.130270i	−0.00414025	+	0.00717112i
$331$	−6.60108	−	11.4334i	−0.362828	−	0.628437i	0.625597	−	0.780146i	$-0.284855\pi$
$331$	−6.60108	−	11.4334i	−0.362828	−	0.628437i	−0.988425	+	0.151710i	$0.951522\pi$
$332$	5.51447	+	4.62719i	0.302646	+	0.253950i
$333$	−29.0900	−	24.4094i	−1.59412	−	1.33763i
$334$	−1.64375	−	2.84705i	−0.0899418	−	0.155784i
$335$	−0.314871	+	0.545373i	−0.0172032	+	0.0297969i
$336$	−8.88397	+	3.23350i	−0.484660	+	0.176402i
$337$	−2.17708	−	12.3469i	−0.118593	−	0.672576i	−0.984908	−	0.173078i	$-0.944629\pi$
$337$	−2.17708	−	12.3469i	−0.118593	−	0.672576i	0.866315	−	0.499498i	$-0.166482\pi$
$338$	3.96233	−	22.4715i	0.215522	−	1.22229i
$339$	2.74614	+	0.999513i	0.149150	+	0.0542861i
$340$	−0.157243	+	0.131943i	−0.00852771	+	0.00715560i
$341$	−9.40759			−0.509449
$342$	2.40304	+	16.7649i	0.129941	+	0.906542i
$343$	−3.67114			−0.198223
$344$	−7.53196	+	6.32007i	−0.406096	+	0.340755i
$345$	−0.618122	−	0.224978i	−0.0332786	−	0.0121124i
$346$	−0.142912	+	0.810496i	−0.00768301	+	0.0435725i
$347$	5.65011	+	32.0434i	0.303314	+	1.72018i	0.631337	+	0.775509i	$0.282507\pi$
$347$	5.65011	+	32.0434i	0.303314	+	1.72018i	−0.328023	+	0.944670i	$0.606382\pi$
$348$	−13.1309	+	4.77925i	−0.703889	+	0.256195i
$349$	1.22909	−	2.12884i	0.0657915	−	0.113954i	−0.831253	−	0.555894i	$-0.812376\pi$
$349$	1.22909	−	2.12884i	0.0657915	−	0.113954i	0.897045	+	0.441940i	$0.145709\pi$
$350$	9.00139	+	15.5909i	0.481145	+	0.833367i
$351$	10.6520	+	8.93810i	0.568562	+	0.477080i
$352$	−0.766044	−	0.642788i	−0.0408303	−	0.0342607i
$353$	9.38318	+	16.2521i	0.499416	+	0.865014i	1.00000		0.000673940i	$-0.000214522\pi$
$353$	9.38318	+	16.2521i	0.499416	+	0.865014i	−0.500584	+	0.865688i	$0.666881\pi$
$354$	16.1486	−	27.9701i	0.858286	−	1.48660i
$355$	0.333443	−	0.121363i	0.0176973	−	0.00644129i
$356$	−1.97153	−	11.1811i	−0.104491	−	0.592596i
$357$	5.87843	−	33.3383i	0.311120	−	1.76445i
$358$	9.30171	+	3.38555i	0.491611	+	0.178932i
$359$	15.3283	−	12.8619i	0.808995	−	0.678828i	−0.141372	−	0.989956i	$-0.545151\pi$
$359$	15.3283	−	12.8619i	0.808995	−	0.678828i	0.950368	+	0.311129i	$0.100707\pi$
$360$	−0.222735			−0.0117392
$361$	−18.2350	+	5.33716i	−0.959736	+	0.280903i
$362$	−18.6078			−0.978005
$363$	2.01011	−	1.68668i	0.105503	−	0.0885279i
$364$	−20.2625	−	7.37494i	−1.06204	−	0.386552i
$365$	0.123651	−	0.701262i	0.00647221	−	0.0367057i
$366$	0.665448	+	3.77394i	0.0347835	+	0.197267i
$367$	−25.2368	+	9.18545i	−1.31735	+	0.479477i	−0.902609	−	0.430462i	$-0.858351\pi$
$367$	−25.2368	+	9.18545i	−1.31735	+	0.479477i	−0.414743	+	0.909939i	$0.636128\pi$
$368$	2.18648	−	3.78709i	0.113978	−	0.197416i
$369$	−14.2700	−	24.7163i	−0.742866	−	1.28668i
$370$	0.429192	+	0.360134i	0.0223126	+	0.0187225i
$371$	1.95611	+	1.64137i	0.101556	+	0.0852158i
$372$	−12.3428	−	21.3784i	−0.639945	−	1.10842i
$373$	5.04882	−	8.74480i	0.261418	−	0.452789i	−0.705201	−	0.709007i	$-0.749143\pi$
$373$	5.04882	−	8.74480i	0.261418	−	0.452789i	0.966619	+	0.256218i	$0.0824766\pi$
$374$	3.36478	−	1.22468i	0.173988	−	0.0633266i
$375$	0.261120	+	1.48089i	0.0134842	+	0.0764727i
$376$	−1.01495	+	5.75606i	−0.0523420	+	0.296846i
$377$	−29.9488	−	10.9005i	−1.54244	−	0.561403i
$378$	6.41262	−	5.38082i	0.329829	−	0.276760i
$379$	4.62572			0.237607			0.118804	−	0.992918i	$-0.462094\pi$
$379$	4.62572			0.237607			0.118804	+	0.992918i	$0.462094\pi$
$380$	−0.0354542	−	0.247348i	−0.00181876	−	0.0126887i
$381$	13.6257			0.698066
$382$	8.23920	−	6.91351i	0.421554	−	0.353726i
$383$	−22.6683	−	8.25058i	−1.15830	−	0.421585i	−0.309807	−	0.950799i	$-0.600264\pi$
$383$	−22.6683	−	8.25058i	−1.15830	−	0.421585i	−0.848488	+	0.529215i	$0.822487\pi$
$384$	0.455655	−	2.58415i	0.0232525	−	0.131872i
$385$	0.0358652	+	0.203401i	0.00182786	+	0.0103663i
$386$	14.6426	−	5.32948i	0.745290	−	0.271263i
$387$	19.1014	−	33.0845i	0.970977	−	1.68178i
$388$	0.357462	+	0.619141i	0.0181474	+	0.0314321i
$389$	−15.0511	−	12.6294i	−0.763123	−	0.640336i	0.175815	−	0.984423i	$-0.443744\pi$
$389$	−15.0511	−	12.6294i	−0.763123	−	0.640336i	−0.938938	+	0.344087i	$0.888189\pi$
$390$	−0.689634	−	0.578672i	−0.0349210	−	0.0293022i
$391$	7.82916	+	13.5605i	0.395938	+	0.685784i
$392$	−2.99053	+	5.17976i	−0.151045	+	0.261617i
$393$	−39.3203	+	14.3114i	−1.98345	+	0.721916i
$394$	0.130596	+	0.740645i	0.00657932	+	0.0373132i
$395$	0.0796074	−	0.451476i	0.00400548	−	0.0227162i
$396$	3.65112	+	1.32890i	0.183476	+	0.0667797i
$397$	16.7409	−	14.0473i	0.840204	−	0.705015i	−0.117406	−	0.993084i	$-0.537458\pi$
$397$	16.7409	−	14.0473i	0.840204	−	0.705015i	0.957610	+	0.288069i	$0.0930133\pi$
$398$	−17.9854			−0.901525
$399$	30.7001	+	27.4905i	1.53693	+	1.37625i
$400$	−4.99671			−0.249836
$401$	−21.9641	+	18.4301i	−1.09683	+	0.920353i	−0.997208	−	0.0746719i	$-0.976209\pi$
$401$	−21.9641	+	18.4301i	−1.09683	+	0.920353i	−0.0996259	+	0.995025i	$0.531765\pi$
$402$	27.0874	+	9.85900i	1.35100	+	0.491722i
$403$	9.77687	−	55.4474i	0.487021	−	2.76203i
$404$	2.37448	+	13.4664i	0.118135	+	0.669977i
$405$	−0.299490	+	0.109005i	−0.0148818	+	0.00541652i
$406$	−9.59329	+	16.6161i	−0.476107	+	0.824641i
$407$	−4.88675	−	8.46409i	−0.242227	−	0.419549i
$408$	7.19764	+	6.03954i	0.356336	+	0.299002i
$409$	13.5421	+	11.3631i	0.669611	+	0.561871i	0.912950	−	0.408071i	$-0.133798\pi$
$409$	13.5421	+	11.3631i	0.669611	+	0.561871i	−0.243339	+	0.969941i	$0.578243\pi$
$410$	0.210538	+	0.364663i	0.0103977	+	0.0180094i
$411$	22.4256	−	38.8423i	1.10617	−	1.91595i
$412$	0.0281547	−	0.0102475i	0.00138708	−	0.000504856i
$413$	−7.70058	−	43.6721i	−0.378921	−	2.14897i
$414$	−2.95043	+	16.7327i	−0.145006	+	0.822369i
$415$	0.387778	+	0.141140i	0.0190353	+	0.00692827i
$416$	4.58464	−	3.84697i	0.224781	−	0.188613i
$417$	−5.47381			−0.268054
$418$	−0.894575	+	4.26611i	−0.0437551	+	0.208662i
$419$	−16.4878			−0.805482			−0.402741	−	0.915314i	$-0.631943\pi$
$419$	−16.4878			−0.805482			−0.402741	+	0.915314i	$0.631943\pi$
$420$	−0.415167	+	0.348366i	−0.0202581	+	0.0169985i
$421$	3.05680	+	1.11258i	0.148979	+	0.0542240i	0.415433	−	0.909624i	$-0.363630\pi$
$421$	3.05680	+	1.11258i	0.148979	+	0.0542240i	−0.266454	+	0.963848i	$0.585852\pi$
$422$	3.85403	−	21.8573i	0.187611	−	1.06400i
$423$	−3.94352	−	22.3648i	−0.191741	−	1.08742i
$424$	−0.665994	+	0.242402i	−0.0323435	+	0.0117721i
$425$	8.94592	−	15.4948i	0.433941	−	0.751607i
$426$	−8.12127	−	14.0664i	−0.393477	−	0.681522i
$427$	4.03076	+	3.38221i	0.195062	+	0.163677i
$428$	−3.96602	−	3.32789i	−0.191705	−	0.160860i
$429$	7.85213	+	13.6003i	0.379104	+	0.656628i
$430$	−0.281820	+	0.488126i	−0.0135906	+	0.0235395i
$431$	6.13376	−	2.23250i	0.295453	−	0.107536i	−0.190041	−	0.981776i	$-0.560862\pi$
$431$	6.13376	−	2.23250i	0.295453	−	0.107536i	0.485494	+	0.874240i	$0.338640\pi$
$432$	0.403456	+	2.28811i	0.0194113	+	0.110087i
$433$	−3.09235	+	17.5376i	−0.148609	+	0.842804i	0.815789	+	0.578350i	$0.196303\pi$
$433$	−3.09235	+	17.5376i	−0.148609	+	0.842804i	−0.964398	+	0.264455i	$0.914808\pi$
$434$	−31.8507	−	11.5927i	−1.52888	−	0.556468i
$435$	−0.613634	+	0.514900i	−0.0294215	+	0.0246876i
$436$	5.63665			0.269947
$437$	−19.0514	−	0.613006i	−0.911352	−	0.0293241i
$438$	−32.5947			−1.55744
$439$	20.5220	−	17.2200i	0.979463	−	0.821867i	−0.00454503	−	0.999990i	$-0.501447\pi$
$439$	20.5220	−	17.2200i	0.979463	−	0.821867i	0.984008	+	0.178122i	$0.0570023\pi$
$440$	−0.0538683	−	0.0196065i	−0.00256807	−	0.000934701i
$441$	4.03542	−	22.8860i	0.192163	−	1.08981i
$442$	3.72128	+	21.1044i	0.177003	+	1.00383i
$443$	13.4790	−	4.90594i	0.640405	−	0.233088i	−0.00134904	−	0.999999i	$-0.500429\pi$
$443$	13.4790	−	4.90594i	0.640405	−	0.233088i	0.641754	+	0.766911i	$0.278207\pi$
$444$	12.8229	−	22.2099i	0.608547	−	1.05403i
$445$	−0.325424	−	0.563651i	−0.0154266	−	0.0267196i
$446$	7.27342	+	6.10313i	0.344407	+	0.288991i
$447$	−15.7573	−	13.2220i	−0.745295	−	0.625377i
$448$	−1.80146	−	3.12022i	−0.0851111	−	0.147417i
$449$	−14.7949	+	25.6255i	−0.698215	+	1.20934i	0.270870	+	0.962616i	$0.412689\pi$
$449$	−14.7949	+	25.6255i	−0.698215	+	1.20934i	−0.969085	+	0.246728i	$0.920645\pi$
$450$	18.2436	−	6.64013i	0.860012	−	0.313019i
$451$	−1.27551	−	7.23377i	−0.0600614	−	0.340625i
$452$	−0.193393	+	1.09679i	−0.00909645	+	0.0515885i
$453$	−29.9112	−	10.8868i	−1.40535	−	0.511506i
$454$	18.1709	−	15.2472i	0.852801	−	0.715585i
$455$	−1.23610			−0.0579493
$456$	−10.8683	+	3.56428i	−0.508953	+	0.166913i
$457$	−18.1181			−0.847531			−0.423765	−	0.905772i	$-0.639292\pi$
$457$	−18.1181			−0.847531			−0.423765	+	0.905772i	$0.639292\pi$
$458$	6.69129	−	5.61466i	0.312663	−	0.262356i
$459$	−7.81776	−	2.84543i	−0.364902	−	0.132813i
$460$	0.0435304	−	0.246873i	0.00202961	−	0.0115105i
$461$	−0.601336	−	3.41035i	−0.0280070	−	0.158836i	0.967597	−	0.252500i	$-0.0812529\pi$
$461$	−0.601336	−	3.41035i	−0.0280070	−	0.158836i	−0.995604	+	0.0936648i	$0.970142\pi$
$462$	8.88397	−	3.23350i	0.413320	−	0.150436i
$463$	−6.74615	+	11.6847i	−0.313520	+	0.543033i	−0.979122	−	0.203274i	$-0.934842\pi$
$463$	−6.74615	+	11.6847i	−0.313520	+	0.543033i	0.665602	+	0.746307i	$0.268175\pi$
$464$	−2.66264	−	4.61183i	−0.123610	−	0.214099i
$465$	−1.08404	−	0.909618i	−0.0502712	−	0.0421825i
$466$	21.3044	+	17.8765i	0.986909	+	0.828115i
$467$	−12.2783	−	21.2667i	−0.568174	−	0.984106i	−0.996747	−	0.0805985i	$-0.974317\pi$
$467$	−12.2783	−	21.2667i	−0.568174	−	0.984106i	0.428573	−	0.903507i	$-0.359016\pi$
$468$	−11.6268	+	20.1383i	−0.537451	+	0.930893i
$469$	37.1926	−	13.5370i	1.71739	−	0.625080i
$470$	0.0581824	+	0.329969i	0.00268375	+	0.0152203i
$471$	0.796576	−	4.51761i	0.0367043	−	0.208160i
$472$	11.5660	+	4.20968i	0.532369	+	0.193766i
$473$	7.53196	−	6.32007i	0.346320	−	0.290597i
$474$	−20.9846			−0.963856
$475$	10.2778	+	19.2026i	0.471580	+	0.881078i
$476$	12.9011			0.591319
$477$	2.10950	−	1.77008i	0.0965872	−	0.0810463i
$478$	−11.3757	−	4.14041i	−0.520312	−	0.189378i
$479$	−1.25241	+	7.10276i	−0.0572240	+	0.324533i	−0.999959	−	0.00900809i	$-0.997133\pi$
$479$	−1.25241	+	7.10276i	−0.0572240	+	0.324533i	0.942735	+	0.333541i	$0.108244\pi$
$480$	−0.0261206	−	0.148137i	−0.00119224	−	0.00676152i
$481$	54.9651	−	20.0057i	2.50619	−	0.912180i
$482$	4.31020	−	7.46549i	0.196324	−	0.340044i
$483$	20.6712	+	35.8036i	0.940573	+	1.62912i
$484$	0.766044	+	0.642788i	0.0348202	+	0.0292176i
$485$	0.0313950	+	0.0263435i	0.00142557	+	0.00119620i
$486$	10.7794	+	18.6705i	0.488965	+	0.846912i
$487$	9.90175	−	17.1503i	0.448691	−	0.777156i	−0.549610	−	0.835421i	$-0.685224\pi$
$487$	9.90175	−	17.1503i	0.448691	−	0.777156i	0.998301	+	0.0582656i	$0.0185570\pi$
$488$	−1.37235	+	0.499494i	−0.0621232	+	0.0226110i
$489$	4.51800	+	25.6229i	0.204311	+	1.15871i
$490$	−0.0595383	+	0.337658i	−0.00268967	+	0.0152539i
$491$	−13.6469	−	4.96707i	−0.615877	−	0.224161i	0.0151960	−	0.999885i	$-0.495163\pi$
$491$	−13.6469	−	4.96707i	−0.615877	−	0.224161i	−0.631073	+	0.775724i	$0.717385\pi$
$492$	14.7650	−	12.3893i	0.665657	−	0.558553i
$493$	19.0683			0.858794
$494$	−24.2144	−	9.70611i	−1.08946	−	0.436699i
$495$	0.222735			0.0100112
$496$	7.20663	−	6.04708i	0.323587	−	0.271522i
$497$	−20.9570	−	7.62772i	−0.940049	−	0.342150i
$498$	3.28009	−	18.6023i	0.146984	−	0.833590i
$499$	−3.59904	−	20.4112i	−0.161115	−	0.913730i	−0.952980	−	0.303034i	$-0.902001\pi$
$499$	−3.59904	−	20.4112i	−0.161115	−	0.913730i	0.791865	−	0.610697i	$-0.209111\pi$
$500$	−0.538506	+	0.196000i	−0.0240827	+	0.00876539i
$501$	−4.31321	+	7.47070i	−0.192700	+	0.333766i
$502$	11.4462	+	19.8253i	0.510867	+	0.884848i
$503$	32.0826	+	26.9205i	1.43049	+	1.20033i	0.945421	+	0.325853i	$0.105651\pi$
$503$	32.0826	+	26.9205i	1.43049	+	1.20033i	0.485073	+	0.874474i	$0.338793\pi$
$504$	10.7238	+	8.99835i	0.477677	+	0.400819i
$505$	0.391937	+	0.678855i	0.0174410	+	0.0302087i
$506$	−2.18648	+	3.78709i	−0.0972007	+	0.168357i
$507$	−56.2642	+	20.4785i	−2.49878	+	0.909481i
$508$	0.901703	+	5.11381i	0.0400066	+	0.226889i
$509$	−6.05808	+	34.3571i	−0.268520	+	1.52285i	0.490303	+	0.871552i	$0.336886\pi$
$509$	−6.05808	+	34.3571i	−0.268520	+	1.52285i	−0.758822	+	0.651298i	$0.774225\pi$
$510$	0.506139	+	0.184219i	0.0224122	+	0.00815737i
$511$	−34.2839	+	28.7676i	−1.51663	+	1.27260i
$512$	1.00000			0.0441942
$513$	7.96347	−	6.25697i	0.351596	−	0.276252i
$514$	−6.79958			−0.299917
$515$	0.00131573	−	0.00110403i	5.79779e−5	−	4.86492e-5i
$516$	24.2441	+	8.82413i	1.06729	+	0.388460i
$517$	1.01495	−	5.75606i	0.0446374	−	0.253151i
$518$	−6.11470	−	34.6782i	−0.268664	−	1.52367i
$519$	2.02932	−	0.738613i	0.0890774	−	0.0324215i
$520$	0.171541	−	0.297118i	0.00752259	−	0.0130295i
$521$	3.29645	+	5.70962i	0.144420	+	0.250143i	0.929156	−	0.369687i	$-0.120535\pi$
$521$	3.29645	+	5.70962i	0.144420	+	0.250143i	−0.784736	+	0.619830i	$0.787202\pi$
$522$	15.8503	+	13.3000i	0.693747	+	0.582123i
$523$	−24.1383	−	20.2544i	−1.05549	−	0.885665i	−0.0618336	−	0.998086i	$-0.519695\pi$
$523$	−24.1383	−	20.2544i	−1.05549	−	0.885665i	−0.993661	+	0.112422i	$0.964139\pi$
$524$	−7.97325	−	13.8101i	−0.348313	−	0.603296i
$525$	23.6198	−	40.9106i	1.03085	−	1.78549i
$526$	−5.56588	+	2.02582i	−0.242684	+	0.0883298i
$527$	5.84950	+	33.1742i	0.254808	+	1.44509i
$528$	−0.455655	+	2.58415i	−0.0198298	+	0.112461i
$529$	3.64346	+	1.32611i	0.158411	+	0.0576569i
$530$	−0.0311233	+	0.0261156i	−0.00135191	+	0.00113439i
$531$	−47.8232			−2.07535
$532$	−8.28573	+	13.3412i	−0.359232	+	0.578413i
$533$	43.9607			1.90415
$534$	−22.8219	+	19.1499i	−0.987601	+	0.828695i
$535$	−0.278891	−	0.101508i	−0.0120575	−	0.00438857i
$536$	−1.90759	+	10.8185i	−0.0823954	+	0.467288i
$537$	−4.51038	−	25.5796i	−0.194637	−	1.10384i
$538$	−4.13413	+	1.50470i	−0.178235	+	0.0648722i
$539$	2.99053	−	5.17976i	0.128811	−	0.223108i
$540$	0.0665953	+	0.115346i	0.00286581	+	0.00496372i
$541$	−11.7056	−	9.82216i	−0.503263	−	0.422287i	0.355488	−	0.934681i	$-0.384315\pi$
$541$	−11.7056	−	9.82216i	−0.503263	−	0.422287i	−0.858751	+	0.512393i	$0.828759\pi$
$542$	−4.43114	−	3.71816i	−0.190334	−	0.159709i
$543$	24.4136	+	42.2855i	1.04769	+	1.81465i
$544$	−1.79036	+	3.10099i	−0.0767611	+	0.132954i
$545$	0.303637	−	0.110515i	0.0130064	−	0.00473394i
$546$	9.82523	+	55.7217i	0.420481	+	2.38467i
$547$	−5.65763	+	32.0860i	−0.241903	+	1.37190i	0.585674	+	0.810546i	$0.300830\pi$
$547$	−5.65763	+	32.0860i	−0.241903	+	1.37190i	−0.827577	+	0.561352i	$0.810281\pi$
$548$	16.0618	+	5.84602i	0.686126	+	0.249730i
$549$	4.34683	−	3.64742i	0.185518	−	0.155668i
$550$	4.99671			0.213061
$551$	−12.2467	+	19.7188i	−0.521725	+	0.840050i
$552$	−11.4747			−0.488395
$553$	−22.0722	+	18.5207i	−0.938603	+	0.787582i
$554$	5.16620	+	1.88034i	0.219491	+	0.0798881i
$555$	0.255290	−	1.44782i	0.0108364	−	0.0614565i
$556$	−0.362238	−	2.05435i	−0.0153623	−	0.0871240i
$557$	−32.9292	+	11.9852i	−1.39525	+	0.507831i	−0.926766	−	0.375639i	$-0.877423\pi$
$557$	−32.9292	+	11.9852i	−1.39525	+	0.507831i	−0.468487	+	0.883470i	$0.655201\pi$
$558$	−18.2763	+	31.6555i	−0.773698	+	1.34008i
$559$	29.4222	+	50.9608i	1.24443	+	2.15541i
$560$	−0.158218	−	0.132761i	−0.00668594	−	0.00561017i
$561$	−7.19764	−	6.03954i	−0.303885	−	0.254990i
$562$	−3.05894	−	5.29824i	−0.129034	−	0.223493i
$563$	13.6527	−	23.6472i	0.575393	−	0.996609i	−0.420606	−	0.907243i	$-0.638183\pi$
$563$	13.6527	−	23.6472i	0.575393	−	0.996609i	0.995999	−	0.0893661i	$-0.0284841\pi$
$564$	14.4120	−	5.24555i	0.606856	−	0.220878i
$565$	0.0110864	+	0.0628738i	0.000466406	+	0.00264512i
$566$	−3.78844	+	21.4853i	−0.159240	+	0.903095i
$567$	18.8230	+	6.85103i	0.790493	+	0.287716i
$568$	4.74178	−	3.97883i	0.198961	−	0.166948i
$569$	8.60745			0.360843			0.180422	−	0.983589i	$-0.442254\pi$
$569$	8.60745			0.360843			0.180422	+	0.983589i	$0.442254\pi$
$570$	−0.515572	+	0.405090i	−0.0215949	+	0.0169674i
$571$	−6.67223			−0.279224			−0.139612	−	0.990206i	$-0.544586\pi$
$571$	−6.67223			−0.279224			−0.139612	+	0.990206i	$0.544586\pi$
$572$	−4.58464	+	3.84697i	−0.191694	+	0.160850i
$573$	−26.5206	−	9.65270i	−1.10791	−	0.403247i
$574$	4.59556	−	26.0627i	0.191815	−	1.08784i
$575$	3.79428	+	21.5184i	0.158232	+	0.897381i
$576$	−3.65112	+	1.32890i	−0.152130	+	0.0553708i
$577$	−6.33929	+	10.9800i	−0.263908	+	0.457102i	−0.967277	−	0.253723i	$-0.918345\pi$
$577$	−6.33929	+	10.9800i	−0.263908	+	0.457102i	0.703369	+	0.710825i	$0.251678\pi$
$578$	2.08922	+	3.61864i	0.0869002	+	0.150516i
$579$	−31.3223	−	26.2825i	−1.30171	−	1.09226i
$580$	−0.233853	−	0.196226i	−0.00971023	−	0.00814785i
$581$	−12.9681	−	22.4613i	−0.538005	−	0.931853i
$582$	0.937983	−	1.62464i	0.0388807	−	0.0673433i
$583$	0.665994	−	0.242402i	0.0275826	−	0.0100393i
$584$	−2.15701	−	12.2330i	−0.0892576	−	0.506205i
$585$	−0.231478	+	1.31278i	−0.00957044	+	0.0542766i
$586$	8.09150	+	2.94506i	0.334257	+	0.121659i
$587$	18.9560	−	15.9060i	0.782399	−	0.656511i	−0.161453	−	0.986880i	$-0.551618\pi$
$587$	18.9560	−	15.9060i	0.782399	−	0.656511i	0.943852	+	0.330370i	$0.107173\pi$
$588$	15.6944			0.647226
$589$	−38.0627	−	15.2571i	−1.56835	−	0.628658i
$590$	0.705578			0.0290482
$591$	1.51175	−	1.26851i	0.0621849	−	0.0521793i
$592$	9.18408	+	3.34273i	0.377463	+	0.137385i
$593$	4.25101	−	24.1087i	0.174568	−	0.990024i	−0.764073	−	0.645129i	$-0.776804\pi$
$593$	4.25101	−	24.1087i	0.174568	−	0.990024i	0.938641	−	0.344895i	$-0.112085\pi$
$594$	−0.403456	−	2.28811i	−0.0165540	−	0.0938824i
$595$	0.694958	−	0.252944i	0.0284905	−	0.0103697i
$596$	3.91951	−	6.78880i	0.160550	−	0.278080i
$597$	23.5969	+	40.8711i	0.965758	+	1.67274i
$598$	−20.0484	−	16.8226i	−0.819841	−	0.687928i
$599$	2.72611	+	2.28747i	0.111386	+	0.0934637i	0.696779	−	0.717285i	$-0.254616\pi$
$599$	2.72611	+	2.28747i	0.111386	+	0.0934637i	−0.585394	+	0.810749i	$0.699060\pi$
$600$	6.55572	+	11.3548i	0.267636	+	0.463559i
$601$	−4.35098	+	7.53611i	−0.177480	+	0.307405i	−0.941017	−	0.338360i	$-0.890128\pi$
$601$	−4.35098	+	7.53611i	−0.177480	+	0.307405i	0.763537	+	0.645764i	$0.223461\pi$
$602$	33.2886	−	12.1160i	1.35674	−	0.493813i
$603$	−7.41184	−	42.0346i	−0.301833	−	1.71178i
$604$	2.10646	−	11.9463i	0.0857105	−	0.486088i
$605$	0.0538683	+	0.0196065i	0.00219006	+	0.000797116i
$606$	27.4865	−	23.0639i	1.11656	−	0.936906i
$607$	−37.0793			−1.50500			−0.752501	−	0.658592i	$-0.771153\pi$
$607$	−37.0793			−1.50500			−0.752501	+	0.658592i	$0.771153\pi$
$608$	−2.05692	−	3.84306i	−0.0834192	−	0.155856i
$609$	50.3458			2.04012
$610$	−0.0641327	+	0.0538137i	−0.00259666	+	0.00217885i
$611$	32.8709	+	11.9640i	1.32981	+	0.484012i
$612$	2.41591	−	13.7013i	0.0976574	−	0.553843i
$613$	8.35021	+	47.3564i	0.337262	+	1.91271i	0.403652	+	0.914913i	$0.367741\pi$
$613$	8.35021	+	47.3564i	0.337262	+	1.91271i	−0.0663903	+	0.997794i	$0.521148\pi$
$614$	−7.44960	+	2.71143i	−0.300641	+	0.109424i
$615$	0.552455	−	0.956879i	0.0222771	−	0.0385851i
$616$	1.80146	+	3.12022i	0.0725830	+	0.125717i
$617$	31.7821	+	26.6684i	1.27950	+	1.07363i	0.993313	+	0.115455i	$0.0368325\pi$
$617$	31.7821	+	26.6684i	1.27950	+	1.07363i	0.286188	+	0.958174i	$0.407612\pi$
$618$	−0.0602261	−	0.0505357i	−0.00242265	−	0.00203284i
$619$	5.16441	+	8.94503i	0.207575	+	0.359531i	0.950950	−	0.309344i	$-0.100109\pi$
$619$	5.16441	+	8.94503i	0.207575	+	0.359531i	−0.743375	+	0.668875i	$0.766776\pi$
$620$	0.269647	−	0.467042i	0.0108293	−	0.0187569i
$621$	9.54743	−	3.47498i	0.383125	−	0.139446i
$622$	1.99327	+	11.3044i	0.0799227	+	0.453264i
$623$	−7.10326	+	40.2846i	−0.284586	+	1.61397i
$624$	−14.7572	−	5.37117i	−0.590760	−	0.215019i
$625$	19.1134	−	16.0380i	0.764534	−	0.641520i
$626$	10.4627			0.418175
$627$	10.8683	−	3.56428i	0.434037	−	0.142344i
$628$	1.74820			0.0697608
$629$	−26.8086	+	22.4951i	−1.06893	+	0.896938i
$630$	0.754100	+	0.274470i	0.0300441	+	0.0109351i
$631$	−2.47468	+	14.0346i	−0.0985154	+	0.558709i	0.895098	+	0.445870i	$0.147106\pi$
$631$	−2.47468	+	14.0346i	−0.0985154	+	0.558709i	−0.993613	+	0.112839i	$0.964006\pi$
$632$	−1.38869	−	7.87566i	−0.0552392	−	0.313277i
$633$	−54.7263	+	19.9188i	−2.17518	+	0.791699i
$634$	3.57388	−	6.19014i	0.141937	−	0.245842i
$635$	0.148837	+	0.257793i	0.00590641	+	0.0102302i
$636$	1.42464	+	1.19541i	0.0564905	+	0.0474012i
$637$	27.4210	+	23.0090i	1.08646	+	0.911649i
$638$	2.66264	+	4.61183i	0.105415	+	0.182584i
$639$	−12.0254	+	20.8285i	−0.475716	+	0.823964i
$640$	0.0538683	−	0.0196065i	0.00212933	−	0.000775013i
$641$	−4.93360	−	27.9798i	−0.194866	−	1.10514i	−0.912610	−	0.408831i	$-0.865937\pi$
$641$	−4.93360	−	27.9798i	−0.194866	−	1.10514i	0.717745	−	0.696306i	$-0.245174\pi$
$642$	−2.35905	+	13.3788i	−0.0931043	+	0.528021i
$643$	4.94233	+	1.79886i	0.194906	+	0.0709401i	0.437629	−	0.899156i	$-0.355818\pi$
$643$	4.94233	+	1.79886i	0.194906	+	0.0709401i	−0.242723	+	0.970096i	$0.578041\pi$
$644$	−12.0694	+	10.1274i	−0.475599	+	0.399075i
$645$	1.47900			0.0582355
$646$	15.5999	+	0.501950i	0.613771	+	0.0197490i
$647$	22.4906			0.884198			0.442099	−	0.896966i	$-0.354234\pi$
$647$	22.4906			0.884198			0.442099	+	0.896966i	$0.354234\pi$
$648$	−4.25895	+	3.57368i	−0.167307	+	0.140388i
$649$	−11.5660	−	4.20968i	−0.454006	−	0.165245i
$650$	−5.19285	+	29.4501i	−0.203681	+	1.15513i
$651$	15.4443	+	87.5892i	0.605312	+	3.43289i
$652$	−9.31743	+	3.39127i	−0.364899	+	0.132812i
$653$	−23.2995	+	40.3559i	−0.911780	+	1.57925i	−0.100233	+	0.994964i	$0.531959\pi$
$653$	−23.2995	+	40.3559i	−0.911780	+	1.57925i	−0.811548	+	0.584286i	$0.801375\pi$
$654$	−7.39533	−	12.8091i	−0.289180	−	0.500875i
$655$	−0.700272	−	0.587598i	−0.0273619	−	0.0229593i
$656$	5.62687	+	4.72151i	0.219692	+	0.184344i
$657$	24.1319	+	41.7977i	0.941476	+	1.63068i
$658$	10.5293	−	18.2373i	0.410474	−	0.710962i
$659$	−6.85939	+	2.49661i	−0.267204	+	0.0972543i	−0.472148	−	0.881519i	$-0.656521\pi$
$659$	−6.85939	+	2.49661i	−0.267204	+	0.0972543i	0.204944	+	0.978774i	$0.434299\pi$
$660$	0.0261206	+	0.148137i	0.00101674	+	0.00576624i
$661$	−3.73505	+	21.1825i	−0.145276	+	0.823904i	0.821868	+	0.569678i	$0.192932\pi$
$661$	−3.73505	+	21.1825i	−0.145276	+	0.823904i	−0.967145	+	0.254226i	$0.918179\pi$
$662$	−12.4060	−	4.51540i	−0.482172	−	0.175496i
$663$	43.0766	−	36.1456i	1.67296	−	1.40378i
$664$	7.19863			0.279361
$665$	−0.184765	+	0.881120i	−0.00716487	+	0.0341684i
$666$	−37.9743			−1.47148
$667$	−17.8390	+	14.9687i	−0.690730	+	0.579591i
$668$	−3.08923	−	1.12439i	−0.119526	−	0.0435039i
$669$	4.32634	−	24.5359i	0.167266	−	0.948613i
$670$	0.109354	+	0.620175i	0.00422470	+	0.0239595i
$671$	1.37235	−	0.499494i	0.0529789	−	0.0192827i
$672$	−4.72706	+	8.18751i	−0.182350	+	0.315840i
$673$	−21.9848	−	38.0787i	−0.847450	−	1.46783i	−0.883476	−	0.468476i	$-0.844803\pi$
$673$	−21.9848	−	38.0787i	−0.847450	−	1.46783i	0.0360265	−	0.999351i	$-0.488530\pi$
$674$	−9.60415	−	8.05884i	−0.369938	−	0.310415i
$675$	−8.89333	−	7.46239i	−0.342304	−	0.287228i
$676$	−11.4091	−	19.7611i	−0.438810	−	0.760042i
$677$	19.4502	−	33.6888i	0.747533	−	1.29477i	−0.201468	−	0.979495i	$-0.564571\pi$
$677$	19.4502	−	33.6888i	0.747533	−	1.29477i	0.949002	−	0.315271i	$-0.102095\pi$
$678$	2.74614	−	0.999513i	0.105465	−	0.0383861i
$679$	−0.447285	−	2.53668i	−0.0171652	−	0.0973489i
$680$	−0.0356441	+	0.202148i	−0.00136689	+	0.00775202i
$681$	−58.4889	−	21.2882i	−2.24130	−	0.815766i
$682$	−7.20663	+	6.04708i	−0.275956	+	0.231555i
$683$	22.7213			0.869407			0.434703	−	0.900574i	$-0.356853\pi$
$683$	22.7213			0.869407			0.434703	+	0.900574i	$0.356853\pi$
$684$	12.6171	+	11.2980i	0.482427	+	0.431991i
$685$	0.979842			0.0374378
$686$	−2.81226	+	2.35976i	−0.107373	+	0.0900962i
$687$	−21.5381	−	7.83923i	−0.821730	−	0.299085i
$688$	−1.70736	+	9.68290i	−0.0650924	+	0.369157i
$689$	0.736557	+	4.17722i	0.0280606	+	0.159139i
$690$	−0.618122	+	0.224978i	−0.0235315	+	0.00856476i
$691$	11.8912	−	20.5962i	0.452364	−	0.783517i	−0.546169	−	0.837675i	$-0.683914\pi$
$691$	11.8912	−	20.5962i	0.452364	−	0.783517i	0.998532	+	0.0541585i	$0.0172476\pi$
$692$	0.411500	+	0.712738i	0.0156429	+	0.0270942i
$693$	−10.7238	−	8.99835i	−0.407364	−	0.341819i
$694$	24.9253	+	20.9148i	0.946152	+	0.793916i
$695$	−0.0597918	−	0.103562i	−0.00226803	−	0.00392834i
$696$	−6.98680	+	12.1015i	−0.264834	+	0.458706i
$697$	−24.7155	+	8.99571i	−0.936166	+	0.340737i
$698$	−0.426858	−	2.42083i	−0.0161568	−	0.0916298i
$699$	12.6722	−	71.8676i	0.479307	−	2.71828i
$700$	16.9171	+	6.15731i	0.639406	+	0.232725i
$701$	25.4122	−	21.3234i	0.959806	−	0.805373i	−0.0211153	−	0.999777i	$-0.506722\pi$
$701$	25.4122	−	21.3234i	0.959806	−	0.805373i	0.980922	+	0.194404i	$0.0622773\pi$
$702$	13.9052			0.524818
$703$	−6.04463	−	42.1707i	−0.227977	−	1.59050i
$704$	−1.00000			−0.0376889
$705$	0.673505	−	0.565138i	0.0253657	−	0.0212843i
$706$	17.6346	+	6.41847i	0.663687	+	0.241562i
$707$	8.55509	−	48.5183i	0.321747	−	1.82472i
$708$	−5.60834	−	31.8064i	−0.210774	−	1.19536i
$709$	−9.19457	+	3.34655i	−0.345309	+	0.125682i	−0.508852	−	0.860854i	$-0.669930\pi$
$709$	−9.19457	+	3.34655i	−0.345309	+	0.125682i	0.163543	+	0.986536i	$0.447708\pi$
$710$	0.177421	−	0.307302i	0.00665850	−	0.0115329i
$711$	15.5362	+	26.9096i	0.582655	+	1.00919i
$712$	−8.69733	−	7.29793i	−0.325946	−	0.273501i
$713$	−31.5142	−	26.4436i	−1.18022	−	0.990320i
$714$	−16.9263	−	29.3172i	−0.633450	−	1.09717i
$715$	−0.171541	+	0.297118i	−0.00641528	+	0.0111116i
$716$	9.30171	−	3.38555i	0.347621	−	0.126524i
$717$	5.51604	+	31.2830i	0.206000	+	1.16829i
$718$	3.47464	−	19.7056i	0.129672	−	0.735408i
$719$	−6.57351	−	2.39256i	−0.245151	−	0.0892275i	0.216523	−	0.976278i	$-0.430528\pi$
$719$	−6.57351	−	2.39256i	−0.245151	−	0.0892275i	−0.461673	+	0.887050i	$0.652751\pi$
$720$	−0.170625	+	0.143171i	−0.00635881	+	0.00533567i
$721$	−0.107949			−0.00402024
$722$	−10.5381	+	15.8097i	−0.392189	+	0.588377i
$723$	−22.6201			−0.841249
$724$	−14.2544	+	11.9609i	−0.529761	+	0.444522i
$725$	25.0042	+	9.10078i	0.928632	+	0.337994i
$726$	0.455655	−	2.58415i	0.0169109	−	0.0959067i
$727$	−4.19665	−	23.8004i	−0.155645	−	0.882707i	−0.958194	−	0.286121i	$-0.907634\pi$
$727$	−4.19665	−	23.8004i	−0.155645	−	0.882707i	0.802549	−	0.596587i	$-0.203477\pi$
$728$	−20.2625	+	7.37494i	−0.750977	+	0.273333i
$729$	19.9459	−	34.5473i	0.738736	−	1.27953i
$730$	−0.356040	−	0.616679i	−0.0131776	−	0.0228243i
$731$	−26.9698	−	22.6304i	−0.997516	−	0.837015i
$732$	2.93561	+	2.46327i	0.108503	+	0.0910450i
$733$	12.7525	+	22.0881i	0.471026	+	0.815841i	0.999451	−	0.0331391i	$-0.0105504\pi$
$733$	12.7525	+	22.0881i	0.471026	+	0.815841i	−0.528425	+	0.848980i	$0.677217\pi$
$734$	−13.4282	+	23.2584i	−0.495645	+	0.858482i
$735$	0.845430	−	0.307711i	0.0311842	−	0.0113501i
$736$	−0.759355	−	4.30652i	−0.0279902	−	0.158740i
$737$	1.90759	−	10.8185i	0.0702671	−	0.398504i
$738$	−26.8188	−	9.76125i	−0.987214	−	0.359316i
$739$	−33.1571	+	27.8221i	−1.21970	+	1.02345i	−0.220863	+	0.975305i	$0.570887\pi$
$739$	−33.1571	+	27.8221i	−1.21970	+	1.02345i	−0.998840	+	0.0481480i	$0.984668\pi$
$740$	0.560270			0.0205959
$741$	9.71264	+	67.7607i	0.356803	+	2.48925i
$742$	2.55352			0.0937427
$743$	−3.04290	+	2.55330i	−0.111633	+	0.0936714i	−0.696896	−	0.717173i	$-0.745436\pi$
$743$	−3.04290	+	2.55330i	−0.111633	+	0.0936714i	0.585262	+	0.810844i	$0.300991\pi$
$744$	−23.1969	−	8.44298i	−0.850440	−	0.309535i
$745$	0.0780333	−	0.442549i	0.00285892	−	0.0162137i
$746$	−1.75344	−	9.94423i	−0.0641978	−	0.364084i
$747$	−26.2831	+	9.56625i	−0.961647	+	0.350011i
$748$	1.79036	−	3.10099i	0.0654620	−	0.113384i
$749$	9.32666	+	16.1543i	0.340789	+	0.590264i
$750$	1.15193	+	0.966581i	0.0420624	+	0.0352945i
$751$	14.6004	+	12.2512i	0.532774	+	0.447051i	0.869058	−	0.494710i	$-0.164726\pi$
$751$	14.6004	+	12.2512i	0.532774	+	0.447051i	−0.336284	+	0.941761i	$0.609170\pi$
$752$	2.92243	+	5.06179i	0.106570	+	0.184585i
$753$	30.0349	−	52.0219i	1.09453	−	1.89578i
$754$	−29.9488	+	10.9005i	−1.09067	+	0.396972i
$755$	−0.120754	−	0.684827i	−0.00439467	−	0.0249234i
$756$	1.45362	−	8.24390i	0.0528677	−	0.299828i
$757$	−4.42400	−	1.61020i	−0.160793	−	0.0585238i	0.260370	−	0.965509i	$-0.416156\pi$
$757$	−4.42400	−	1.61020i	−0.160793	−	0.0585238i	−0.421163	+	0.906985i	$0.638378\pi$
$758$	3.54350	−	2.97335i	0.128706	−	0.107997i
$759$	11.4747			0.416505
$760$	−0.186152	−	0.166690i	−0.00675243	−	0.00604648i
$761$	−26.3417			−0.954886			−0.477443	−	0.878663i	$-0.658436\pi$
$761$	−26.3417			−0.954886			−0.477443	+	0.878663i	$0.658436\pi$
$762$	10.4379	−	8.75844i	0.378125	−	0.317285i
$763$	−19.0837	−	6.94590i	−0.690876	−	0.251458i
$764$	1.86768	−	10.5921i	0.0675701	−	0.383209i
$765$	−0.138493	−	0.785434i	−0.00500723	−	0.0283974i
$766$	−22.6683	+	8.25058i	−0.819038	+	0.298106i
$767$	36.8315	−	63.7940i	1.32991	−	2.30347i
$768$	−1.31201	−	2.27246i	−0.0473429	−	0.0820004i
$769$	14.9287	+	12.5266i	0.538341	+	0.451722i	0.870970	−	0.491336i	$-0.163491\pi$
$769$	14.9287	+	12.5266i	0.538341	+	0.451722i	−0.332629	+	0.943058i	$0.607936\pi$
$770$	0.158218	+	0.132761i	0.00570179	+	0.00478437i
$771$	8.92110	+	15.4518i	0.321285	+	0.556483i
$772$	7.79118	−	13.4947i	0.280411	−	0.485686i
$773$	35.6694	−	12.9826i	1.28294	−	0.466951i	0.391535	−	0.920163i	$-0.371944\pi$
$773$	35.6694	−	12.9826i	1.28294	−	0.466951i	0.891403	+	0.453212i	$0.149722\pi$
$774$	−6.63384	−	37.6224i	−0.238448	−	1.35231i
$775$	−8.16268	+	46.2929i	−0.293212	+	1.66289i
$776$	0.671808	+	0.244518i	0.0241165	+	0.00877769i
$777$	−70.7823	+	59.3934i	−2.53930	+	2.13073i
$778$	−19.6479			−0.704410
$779$	6.57098	−	31.3362i	0.235430	−	1.12273i
$780$	−0.900254			−0.0322342
$781$	−4.74178	+	3.97883i	−0.169674	+	0.142374i
$782$	14.7140	+	5.35546i	0.526172	+	0.191511i
$783$	2.14852	−	12.1848i	0.0767817	−	0.435451i
$784$	1.03860	+	5.89020i	0.0370929	+	0.210364i
$785$	0.0941726	−	0.0342760i	0.00336116	−	0.00122336i
$786$	−20.9219	+	36.2378i	−0.746259	+	1.29256i
$787$	12.1663	+	21.0727i	0.433682	+	0.751159i	0.997187	−	0.0749533i	$-0.0238808\pi$
$787$	12.1663	+	21.0727i	0.433682	+	0.751159i	−0.563505	+	0.826113i	$0.690547\pi$
$788$	0.576120	+	0.483422i	0.0205234	+	0.0172212i
$789$	11.9061	+	9.99037i	0.423867	+	0.355667i
$790$	−0.229220	−	0.397021i	−0.00815529	−	0.0141254i
$791$	2.00630	−	3.47502i	0.0713358	−	0.123557i
$792$	3.65112	−	1.32890i	0.129737	−	0.0472204i
$793$	1.51775	+	8.60758i	0.0538968	+	0.305664i
$794$	3.79486	−	21.5217i	0.134675	−	0.763778i
$795$	0.100181	+	0.0364628i	0.00355304	+	0.00129320i
$796$	−13.7776	+	11.5608i	−0.488334	+	0.409761i
$797$	22.1808			0.785684			0.392842	−	0.919606i	$-0.371492\pi$
$797$	22.1808			0.785684			0.392842	+	0.919606i	$0.371492\pi$
$798$	41.1882	+	1.32529i	1.45805	+	0.0469148i
$799$	−20.9288			−0.740407
$800$	−3.82770	+	3.21183i	−0.135330	+	0.113555i
$801$	41.4532	+	15.0877i	1.46468	+	0.533099i
$802$	−4.97885	+	28.2365i	−0.175809	+	0.997065i
$803$	2.15701	+	12.2330i	0.0761191	+	0.431693i
$804$	27.0874	−	9.85900i	0.955298	−	0.347700i
$805$	−0.451593	+	0.782182i	−0.0159166	+	0.0275683i
$806$	−28.1514	−	48.7596i	−0.991590	−	1.71748i
$807$	8.84337	+	7.42047i	0.311301	+	0.261213i
$808$	10.4750	+	8.78955i	0.368508	+	0.309215i
$809$	14.4569	+	25.0401i	0.508277	+	0.880362i	0.999954	+	0.00958432i	$0.00305083\pi$
$809$	14.4569	+	25.0401i	0.508277	+	0.880362i	−0.491677	+	0.870778i	$0.663616\pi$
$810$	−0.159355	+	0.276011i	−0.00559917	+	0.00969805i
$811$	−4.05713	+	1.47668i	−0.142465	+	0.0518531i	−0.412269	−	0.911062i	$-0.635263\pi$
$811$	−4.05713	+	1.47668i	−0.142465	+	0.0518531i	0.269803	+	0.962915i	$0.413041\pi$
$812$	3.33171	+	18.8951i	0.116920	+	0.663088i
$813$	−2.63571	+	14.9478i	−0.0924383	+	0.524244i
$814$	−9.18408	−	3.34273i	−0.321902	−	0.117163i
$815$	−0.435423	+	0.365364i	−0.0152522	+	0.0127981i
$816$	9.39585			0.328921
$817$	40.7238	−	13.3555i	1.42475	−	0.467250i
$818$	17.6779			0.618093
$819$	64.1802	−	53.8536i	2.24264	−	1.88180i
$820$	0.395682	+	0.144017i	0.0138178	+	0.00502928i
$821$	−0.916211	+	5.19609i	−0.0319760	+	0.181345i	−0.996613	−	0.0822382i	$-0.973793\pi$
$821$	−0.916211	+	5.19609i	−0.0319760	+	0.181345i	0.964637	+	0.263583i	$0.0849043\pi$
$822$	−7.78834	−	44.1699i	−0.271649	−	1.54060i
$823$	32.0143	−	11.6523i	1.11595	−	0.406172i	0.282776	−	0.959186i	$-0.408745\pi$
$823$	32.0143	−	11.6523i	1.11595	−	0.406172i	0.833172	+	0.553014i	$0.186522\pi$
$824$	0.0149808	−	0.0259475i	0.000521881	−	0.000903924i
$825$	−6.55572	−	11.3548i	−0.228241	−	0.395325i
$826$	−33.9709	−	28.5050i	−1.18200	−	0.991815i
$827$	37.3587	+	31.3477i	1.29909	+	1.09007i	0.990302	+	0.138935i	$0.0443678\pi$
$827$	37.3587	+	31.3477i	1.29909	+	1.09007i	0.308788	+	0.951131i	$0.400077\pi$
$828$	8.49543	+	14.7145i	0.295236	+	0.511365i
$829$	−10.9633	+	18.9890i	−0.380772	+	0.659516i	−0.991173	−	0.132576i	$-0.957675\pi$
$829$	−10.9633	+	18.9890i	−0.380772	+	0.659516i	0.610401	+	0.792093i	$0.291008\pi$
$830$	0.387778	−	0.141140i	0.0134600	−	0.00489903i
$831$	−2.50508	−	14.2070i	−0.0869002	−	0.492836i
$832$	1.03925	−	5.89390i	0.0360296	−	0.204334i
$833$	−20.1249	−	7.32488i	−0.697288	−	0.253792i
$834$	−4.19318	+	3.51850i	−0.145198	+	0.121836i
$835$	−0.188457			−0.00652183
$836$	2.05692	+	3.84306i	0.0711401	+	0.132915i
$837$	21.8577			0.755512
$838$	−12.6304	+	10.5982i	−0.436310	+	0.366107i
$839$	36.3385	+	13.2261i	1.25454	+	0.456617i	0.881935	−	0.471372i	$-0.156241\pi$
$839$	36.3385	+	13.2261i	1.25454	+	0.456617i	0.372609	+	0.927988i	$0.378463\pi$
$840$	−0.0941107	+	0.533728i	−0.00324713	+	0.0184154i
$841$	−0.111382	−	0.631676i	−0.00384074	−	0.0217819i
$842$	3.05680	−	1.11258i	0.105344	−	0.0383422i
$843$	−8.02670	+	13.9027i	−0.276454	+	0.478833i
$844$	−11.0972	−	19.2210i	−0.381982	−	0.661613i
$845$	−1.00203	−	0.840805i	−0.0344709	−	0.0289246i
$846$	−17.3967	−	14.5976i	−0.598113	−	0.501876i
$847$	−1.80146	−	3.12022i	−0.0618990	−	0.107212i
$848$	−0.354368	+	0.613783i	−0.0121690	+	0.0210774i
$849$	53.7950	−	19.5798i	1.84624	−	0.671976i
$850$	−3.10688	−	17.6200i	−0.106565	−	0.604362i
$851$	7.42155	−	42.0897i	0.254408	−	1.44282i
$852$	−15.2630	−	5.55527i	−0.522901	−	0.190321i
$853$	7.16249	−	6.01005i	0.245239	−	0.205780i	−0.511880	−	0.859057i	$-0.671051\pi$
$853$	7.16249	−	6.01005i	0.245239	−	0.205780i	0.757119	+	0.653277i	$0.226606\pi$
$854$	5.26179			0.180055
$855$	0.901176	+	0.361228i	0.0308196	+	0.0123537i
$856$	−5.17727			−0.176956
$857$	−6.92782	+	5.81313i	−0.236650	+	0.198573i	−0.753398	−	0.657565i	$-0.771587\pi$
$857$	−6.92782	+	5.81313i	−0.236650	+	0.198573i	0.516748	+	0.856137i	$0.327142\pi$
$858$	14.7572	+	5.37117i	0.503802	+	0.183369i
$859$	−1.27818	+	7.24895i	−0.0436111	+	0.247331i	−0.998818	−	0.0486082i	$-0.984521\pi$
$859$	−1.27818	+	7.24895i	−0.0436111	+	0.247331i	0.955207	+	0.295939i	$0.0956325\pi$
$860$	0.0978750	+	0.555077i	0.00333751	+	0.0189280i
$861$	−65.2559	+	23.7512i	−2.22392	+	0.809439i
$862$	3.26370	−	5.65290i	0.111162	−	0.192539i
$863$	−0.445155	−	0.771030i	−0.0151532	−	0.0262462i	0.858349	−	0.513066i	$-0.171490\pi$
$863$	−0.445155	−	0.771030i	−0.0151532	−	0.0262462i	−0.873503	+	0.486820i	$0.838157\pi$
$864$	1.77984	+	1.49346i	0.0605513	+	0.0508085i
$865$	0.0361411	+	0.0303259i	0.00122883	+	0.00103111i
$866$	8.90408	+	15.4223i	0.302573	+	0.524072i
$867$	5.48214	−	9.49535i	0.186183	−	0.322479i
$868$	−31.8507	+	11.5927i	−1.08108	+	0.393482i
$869$	1.38869	+	7.87566i	0.0471081	+	0.267163i
$870$	−0.139100	+	0.788873i	−0.00471592	+	0.0267453i
$871$	61.7807	+	22.4863i	2.09336	+	0.761920i
$872$	4.31793	−	3.62317i	0.146223	−	0.122696i
$873$	−2.77779			−0.0940140
$874$	−14.9883	+	11.7764i	−0.506985	+	0.398343i
$875$	2.06471			0.0698001
$876$	−24.9690	+	20.9515i	−0.843624	+	0.707885i
$877$	10.8870	+	3.96255i	0.367628	+	0.133806i	0.519227	−	0.854636i	$-0.326220\pi$
$877$	10.8870	+	3.96255i	0.367628	+	0.133806i	−0.151599	+	0.988442i	$0.548442\pi$
$878$	4.65197	−	26.3826i	0.156996	−	0.890370i
$879$	−3.92355	−	22.2516i	−0.132338	−	0.750526i
$880$	−0.0538683	+	0.0196065i	−0.00181590	+	0.000660934i
$881$	−4.41983	+	7.65536i	−0.148908	+	0.257916i	−0.930824	−	0.365468i	$-0.880909\pi$
$881$	−4.41983	+	7.65536i	−0.148908	+	0.257916i	0.781916	+	0.623383i	$0.214242\pi$
$882$	−11.6195	−	20.1256i	−0.391250	−	0.677665i
$883$	15.1386	+	12.7028i	0.509455	+	0.427483i	0.860937	−	0.508711i	$-0.169878\pi$
$883$	15.1386	+	12.7028i	0.509455	+	0.427483i	−0.351482	+	0.936195i	$0.614322\pi$
$884$	16.4163	+	13.7749i	0.552141	+	0.463301i
$885$	−0.925723	−	1.60340i	−0.0311179	−	0.0538977i
$886$	7.17200	−	12.4223i	0.240948	−	0.417334i
$887$	48.9757	−	17.8257i	1.64444	−	0.598528i	0.656635	−	0.754209i	$-0.271979\pi$
$887$	48.9757	−	17.8257i	1.64444	−	0.598528i	0.987807	+	0.155680i	$0.0497570\pi$
$888$	−4.45334	−	25.2561i	−0.149444	−	0.847541i
$889$	3.24877	−	18.4247i	0.108960	−	0.617944i
$890$	−0.611597	−	0.222603i	−0.0205008	−	0.00746168i
$891$	4.25895	−	3.57368i	0.142680	−	0.119723i
$892$	9.49478			0.317909
$893$	13.4415	−	21.6428i	0.449804	−	0.724247i
$894$	−20.5697			−0.687954
$895$	0.434689	−	0.364747i	0.0145301	−	0.0121922i
$896$	−3.38564	−	1.23227i	−0.113106	−	0.0411673i
$897$	−11.9251	+	67.6307i	−0.398168	+	2.25812i
$898$	5.13822	+	29.1403i	0.171465	+	0.972424i
$899$	−47.0767	+	17.1345i	−1.57010	+	0.571468i
$900$	9.70722	−	16.8134i	0.323574	−	0.560447i
$901$	−1.26889	−	2.19779i	−0.0422729	−	0.0732189i
$902$	−5.62687	−	4.72151i	−0.187354	−	0.157209i
$903$	−71.2081	−	59.7507i	−2.36966	−	1.98838i
$904$	0.556853	+	0.964498i	0.0185207	+	0.0320787i
$905$	−0.533351	+	0.923790i	−0.0177292	+	0.0307078i
$906$	−29.9112	+	10.8868i	−0.993733	+	0.361689i
$907$	5.20081	+	29.4952i	0.172690	+	0.979374i	0.940776	+	0.339027i	$0.110098\pi$
$907$	5.20081	+	29.4952i	0.172690	+	0.979374i	−0.768086	+	0.640346i	$0.778791\pi$
$908$	4.11900	−	23.3600i	0.136694	−	0.775229i
$909$	−49.9258	−	18.1715i	−1.65594	−	0.602711i
$910$	−0.946909	+	0.794551i	−0.0313897	+	0.0263391i
$911$	41.0007			1.35842			0.679208	−	0.733946i	$-0.262324\pi$
$911$	41.0007			1.35842			0.679208	+	0.733946i	$0.262324\pi$
$912$	−6.03450	+	9.71639i	−0.199822	+	0.321742i
$913$	−7.19863			−0.238240
$914$	−13.8793	+	11.6461i	−0.459086	+	0.385219i
$915$	0.206432	+	0.0751352i	0.00682444	+	0.00248389i
$916$	1.51679	−	8.60215i	0.0501162	−	0.284223i
$917$	9.97678	+	56.5811i	0.329462	+	1.86847i
$918$	−7.81776	+	2.84543i	−0.258024	+	0.0939132i
$919$	4.72313	−	8.18070i	0.155802	−	0.269857i	−0.777549	−	0.628822i	$-0.783537\pi$
$919$	4.72313	−	8.18070i	0.155802	−	0.269857i	0.933351	+	0.358966i	$0.116871\pi$
$920$	−0.125341	−	0.217097i	−0.00413236	−	0.00715746i
$921$	15.9355	+	13.3715i	0.525094	+	0.440606i
$922$	−2.65278	−	2.22595i	−0.0873646	−	0.0733076i
$923$	−18.5229	−	32.0826i	−0.609689	−	1.05601i
$924$	4.72706	−	8.18751i	0.155509	−	0.269349i
$925$	−45.8902	+	16.7027i	−1.50886	+	0.549180i
$926$	2.34291	+	13.2873i	0.0769929	+	0.436648i
$927$	−0.0202151	+	0.114645i	−0.000663950	+	0.00376545i
$928$	−5.00412	−	1.82135i	−0.164268	−	0.0597888i
$929$	−4.69867	+	3.94265i	−0.154158	+	0.129354i	−0.716605	−	0.697480i	$-0.754305\pi$
$929$	−4.69867	+	3.94265i	−0.154158	+	0.129354i	0.562446	+	0.826834i	$0.309860\pi$
$930$	−1.41511			−0.0464034
$931$	20.5000	−	16.1071i	0.671862	−	0.527888i
$932$	27.8110			0.910978
$933$	23.0736	−	19.3610i	0.755395	−	0.633852i
$934$	−23.0757	−	8.39888i	−0.755061	−	0.274820i
$935$	0.0356441	−	0.202148i	0.00116569	−	0.00661094i
$936$	4.03796	+	22.9004i	0.131985	+	0.748524i
$937$	−25.0486	+	9.11694i	−0.818302	+	0.297837i	−0.717049	−	0.697023i	$-0.754507\pi$
$937$	−25.0486	+	9.11694i	−0.818302	+	0.297837i	−0.101253	+	0.994861i	$0.532285\pi$
$938$	19.7898	−	34.2769i	0.646159	−	1.11918i
$939$	−13.7272	−	23.7762i	−0.447970	−	0.775906i
$940$	0.256670	+	0.215372i	0.00837165	+	0.00702465i
$941$	−0.419271	−	0.351810i	−0.0136679	−	0.0114687i	0.635928	−	0.771748i	$-0.280617\pi$
$941$	−0.419271	−	0.351810i	−0.0136679	−	0.0114687i	−0.649596	+	0.760280i	$0.725062\pi$
$942$	−2.29365	−	3.97272i	−0.0747312	−	0.129438i
$943$	16.0605	−	27.8175i	0.523001	−	0.905863i
$944$	11.5660	−	4.20968i	0.376442	−	0.137014i
$945$	−0.0833295	−	0.472585i	−0.00271071	−	0.0153732i
$946$	1.70736	−	9.68290i	0.0555110	−	0.314818i
$947$	25.6142	+	9.32282i	0.832351	+	0.302951i	0.722823	−	0.691033i	$-0.242844\pi$
$947$	25.6142	+	9.32282i	0.832351	+	0.302951i	0.109527	+	0.993984i	$0.465066\pi$
$948$	−16.0752	+	13.4887i	−0.522097	+	0.438091i
$949$	−74.3417			−2.41324
$950$	20.2165	+	8.10361i	0.655910	+	0.262916i
$951$	−18.7558			−0.608198
$952$	9.88279	−	8.29264i	0.320303	−	0.268766i
$953$	−22.8252	−	8.30770i	−0.739381	−	0.269113i	−0.0552507	−	0.998473i	$-0.517596\pi$
$953$	−22.8252	−	8.30770i	−0.739381	−	0.269113i	−0.684130	+	0.729360i	$0.739818\pi$
$954$	0.478184	−	2.71192i	0.0154818	−	0.0878015i
$955$	−0.107065	−	0.607198i	−0.00346455	−	0.0196485i
$956$	−11.3757	+	4.14041i	−0.367916	+	0.133910i
$957$	6.98680	−	12.1015i	0.225851	−	0.391186i
$958$	3.60617	+	6.24606i	0.116510	+	0.201801i
$959$	−47.1756	−	39.5851i	−1.52338	−	1.27827i
$960$	−0.115230	−	0.0966899i	−0.00371905	−	0.00312065i
$961$	−28.7513	−	49.7988i	−0.927462	−	1.60641i
$962$	29.2463	−	50.6561i	0.942939	−	1.63322i
$963$	18.9029	−	6.88008i	0.609136	−	0.221707i
$964$	−1.49692	−	8.48944i	−0.0482125	−	0.273427i
$965$	0.155114	−	0.879695i	0.00499330	−	0.0283184i
$966$	38.8492	+	14.1399i	1.24995	+	0.454945i
$967$	−16.5527	+	13.8893i	−0.532298	+	0.446651i	−0.868894	−	0.494998i	$-0.835169\pi$
$967$	−16.5527	+	13.8893i	−0.532298	+	0.446651i	0.336596	+	0.941649i	$0.390724\pi$
$968$	1.00000			0.0321412
$969$	−19.3265	−	36.1088i	−0.620858	−	1.15998i
$970$	0.0409833			0.00131589
$971$	−11.6049	+	9.73763i	−0.372418	+	0.312495i	−0.809717	−	0.586821i	$-0.800379\pi$
$971$	−11.6049	+	9.73763i	−0.372418	+	0.312495i	0.437300	+	0.899316i	$0.355935\pi$
$972$	20.2587	+	7.37357i	0.649798	+	0.236507i
$973$	−1.30512	+	7.40168i	−0.0418401	+	0.237287i
$974$	−3.43884	−	19.5026i	−0.110188	−	0.624905i
$975$	73.7374	−	26.8382i	2.36149	−	0.859511i
$976$	−0.730211	+	1.26476i	−0.0233735	+	0.0404840i
$977$	−12.5905	−	21.8074i	−0.402805	−	0.697679i	0.591258	−	0.806482i	$-0.298631\pi$
$977$	−12.5905	−	21.8074i	−0.402805	−	0.697679i	−0.994063	+	0.108803i	$0.965298\pi$
$978$	19.9310	+	16.7241i	0.637325	+	0.534779i
$979$	8.69733	+	7.29793i	0.277968	+	0.233243i
$980$	0.171434	+	0.296932i	0.00547625	+	0.00948514i
$981$	−10.9504	+	18.9667i	−0.349621	+	0.605561i
$982$	−13.6469	+	4.96707i	−0.435491	+	0.158506i
$983$	2.85906	+	16.2145i	0.0911898	+	0.517163i	0.995849	+	0.0910261i	$0.0290147\pi$
$983$	2.85906	+	16.2145i	0.0911898	+	0.517163i	−0.904659	+	0.426137i	$0.859874\pi$
$984$	3.34695	−	18.9815i	0.106697	−	0.605108i
$985$	0.0405128	+	0.0147455i	0.00129084	+	0.000469829i
$986$	14.6072	−	12.2569i	0.465188	−	0.390339i
$987$	−55.2580			−1.75888
$988$	−24.7883	+	8.12938i	−0.788619	+	0.258630i
$989$	42.9961			1.36720
$990$	0.170625	−	0.143171i	0.00542281	−	0.00455028i
$991$	−27.3760	−	9.96404i	−0.869627	−	0.316518i	−0.131611	−	0.991301i	$-0.542015\pi$
$991$	−27.3760	−	9.96404i	−0.869627	−	0.316518i	−0.738016	+	0.674783i	$0.764237\pi$
$992$	1.63361	−	9.26466i	0.0518672	−	0.294153i
$993$	6.01563	+	34.1163i	0.190900	+	1.08265i
$994$	−20.9570	+	7.62772i	−0.664715	+	0.241937i
$995$	−0.515510	+	0.892889i	−0.0163428	+	0.0283065i
$996$	−9.44464	−	16.3586i	−0.299265	−	0.518342i
$997$	−1.94771	−	1.63432i	−0.0616846	−	0.0517596i	0.611424	−	0.791303i	$-0.290597\pi$
$997$	−1.94771	−	1.63432i	−0.0616846	−	0.0517596i	−0.673109	+	0.739544i	$0.735041\pi$
$998$	−15.8771	−	13.3225i	−0.502580	−	0.421715i
$999$	11.3539	+	19.6656i	0.359222	+	0.622191i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	418.2.j.d.177.2	yes	30
19.4	even	9		7942.2.a.ca.1.12		15
19.15	odd	18		7942.2.a.by.1.4		15
19.16	even	9	inner	418.2.j.d.111.2	✓	30

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
418.2.j.d.111.2	✓	30	19.16	even	9	inner
418.2.j.d.177.2	yes	30	1.1	even	1	trivial
7942.2.a.by.1.4		15	19.15	odd	18
7942.2.a.ca.1.12		15	19.4	even	9

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:	\( N \)	\(=\)	\( 418 = 2 \cdot 11 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	418.j (of order \(9\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(0.766044 - 0.642788i) q^{2} +(-2.46577 - 0.897465i) q^{3} +(0.173648 - 0.984808i) q^{4} +(-0.00995446 - 0.0564545i) q^{5} +(-2.46577 + 0.897465i) q^{6} +(-1.80146 + 3.12022i) q^{7} +(-0.500000 - 0.866025i) q^{8} +(2.97642 + 2.49751i) q^{9} +O(q^{10})\)	\(q+(0.766044 - 0.642788i) q^{2} +(-2.46577 - 0.897465i) q^{3} +(0.173648 - 0.984808i) q^{4} +(-0.00995446 - 0.0564545i) q^{5} +(-2.46577 + 0.897465i) q^{6} +(-1.80146 + 3.12022i) q^{7} +(-0.500000 - 0.866025i) q^{8} +(2.97642 + 2.49751i) q^{9} +(-0.0439138 - 0.0368481i) q^{10} +(0.500000 + 0.866025i) q^{11} +(-1.31201 + 2.27246i) q^{12} +(-5.62390 + 2.04693i) q^{13} +(0.625641 + 3.54819i) q^{14} +(-0.0261206 + 0.148137i) q^{15} +(-0.939693 - 0.342020i) q^{16} +(2.74299 - 2.30164i) q^{17} +3.88544 q^{18} +(0.618472 + 4.31480i) q^{19} -0.0573255 q^{20} +(7.24228 - 6.07699i) q^{21} +(0.939693 + 0.342020i) q^{22} +(-0.759355 + 4.30652i) q^{23} +(0.455655 + 2.58415i) q^{24} +(4.69538 - 1.70898i) q^{25} +(-2.99241 + 5.18301i) q^{26} +(-1.16171 - 2.01213i) q^{27} +(2.76000 + 2.31592i) q^{28} +(4.07940 + 3.42302i) q^{29} +(0.0752114 + 0.130270i) q^{30} +(-4.70379 + 8.14721i) q^{31} +(-0.939693 + 0.342020i) q^{32} +(-0.455655 - 2.58415i) q^{33} +(0.621786 - 3.52632i) q^{34} +(0.194083 + 0.0706406i) q^{35} +(2.97642 - 2.49751i) q^{36} -9.77349 q^{37} +(3.24728 + 2.90778i) q^{38} +15.7043 q^{39} +(-0.0439138 + 0.0368481i) q^{40} +(-6.90238 - 2.51226i) q^{41} +(1.64169 - 9.31049i) q^{42} +(-1.70736 - 9.68290i) q^{43} +(0.939693 - 0.342020i) q^{44} +(0.111367 - 0.192894i) q^{45} +(2.18648 + 3.78709i) q^{46} +(-4.47742 - 3.75700i) q^{47} +(2.01011 + 1.68668i) q^{48} +(-2.99053 - 5.17976i) q^{49} +(2.49836 - 4.32728i) q^{50} +(-8.82922 + 3.21357i) q^{51} +(1.03925 + 5.89390i) q^{52} +(0.123071 - 0.697969i) q^{53} +(-2.18329 - 0.794653i) q^{54} +(0.0439138 - 0.0368481i) q^{55} +3.60292 q^{56} +(2.34738 - 11.1943i) q^{57} +5.32528 q^{58} +(-9.42870 + 7.91162i) q^{59} +(0.141351 + 0.0514476i) q^{60} +(0.253600 - 1.43823i) q^{61} +(1.63361 + 9.26466i) q^{62} +(-13.1547 + 4.78792i) q^{63} +(-0.500000 + 0.866025i) q^{64} +(0.171541 + 0.297118i) q^{65} +(-2.01011 - 1.68668i) q^{66} +(-8.41530 - 7.06127i) q^{67} +(-1.79036 - 3.10099i) q^{68} +(5.73734 - 9.93737i) q^{69} +(0.194083 - 0.0706406i) q^{70} +(1.07488 + 6.09592i) q^{71} +(0.674700 - 3.82641i) q^{72} +(11.6726 + 4.24847i) q^{73} +(-7.48693 + 6.28228i) q^{74} -13.1114 q^{75} +(4.35664 + 0.140181i) q^{76} -3.60292 q^{77} +(12.0302 - 10.0945i) q^{78} +(7.51487 + 2.73519i) q^{79} +(-0.00995446 + 0.0564545i) q^{80} +(-0.965426 - 5.47520i) q^{81} +(-6.90238 + 2.51226i) q^{82} +(-3.59931 + 6.23419i) q^{83} +(-4.72706 - 8.18751i) q^{84} +(-0.157243 - 0.131943i) q^{85} +(-7.53196 - 6.32007i) q^{86} +(-6.98680 - 12.1015i) q^{87} +(0.500000 - 0.866025i) q^{88} +(10.6689 - 3.88315i) q^{89} +(-0.0386775 - 0.219351i) q^{90} +(3.74435 - 21.2353i) q^{91} +(4.10923 + 1.49564i) q^{92} +(18.9103 - 15.8676i) q^{93} -5.84485 q^{94} +(0.237433 - 0.0778670i) q^{95} +2.62401 q^{96} +(-0.547663 + 0.459544i) q^{97} +(-5.62036 - 2.04565i) q^{98} +(-0.674700 + 3.82641i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 30 q - 15 q^{8}+O(q^{10}) \) 30 * q - 15 * q^8	\( 30 q - 15 q^{8} + 15 q^{11} - 3 q^{12} - 21 q^{13} - 9 q^{14} + 3 q^{15} + 6 q^{17} + 60 q^{18} - 9 q^{19} + 18 q^{20} - 39 q^{21} + 15 q^{23} + 24 q^{25} - 3 q^{27} + 9 q^{28} - 3 q^{29} - 21 q^{30} - 18 q^{31} + 15 q^{34} + 51 q^{35} - 18 q^{37} - 6 q^{38} - 6 q^{41} + 51 q^{42} + 39 q^{43} - 54 q^{45} - 21 q^{46} - 3 q^{47} - 33 q^{49} - 24 q^{50} - 48 q^{51} - 12 q^{52} - 24 q^{53} - 9 q^{54} - 6 q^{57} - 18 q^{58} + 21 q^{59} + 3 q^{60} + 63 q^{61} - 27 q^{62} + 57 q^{63} - 15 q^{64} - 6 q^{65} - 45 q^{67} - 21 q^{68} + 42 q^{69} + 51 q^{70} - 48 q^{71} + 87 q^{73} + 9 q^{74} + 42 q^{75} - 9 q^{76} - 36 q^{78} - 57 q^{79} + 36 q^{81} - 6 q^{82} - 30 q^{83} + 9 q^{84} + 81 q^{85} - 24 q^{86} - 9 q^{87} + 15 q^{88} - 6 q^{89} - 114 q^{90} - 51 q^{91} - 3 q^{92} + 33 q^{93} + 78 q^{94} - 132 q^{95} + 6 q^{96} - 66 q^{97} + 9 q^{98}+O(q^{100}) \) 30 * q - 15 * q^8 + 15 * q^11 - 3 * q^12 - 21 * q^13 - 9 * q^14 + 3 * q^15 + 6 * q^17 + 60 * q^18 - 9 * q^19 + 18 * q^20 - 39 * q^21 + 15 * q^23 + 24 * q^25 - 3 * q^27 + 9 * q^28 - 3 * q^29 - 21 * q^30 - 18 * q^31 + 15 * q^34 + 51 * q^35 - 18 * q^37 - 6 * q^38 - 6 * q^41 + 51 * q^42 + 39 * q^43 - 54 * q^45 - 21 * q^46 - 3 * q^47 - 33 * q^49 - 24 * q^50 - 48 * q^51 - 12 * q^52 - 24 * q^53 - 9 * q^54 - 6 * q^57 - 18 * q^58 + 21 * q^59 + 3 * q^60 + 63 * q^61 - 27 * q^62 + 57 * q^63 - 15 * q^64 - 6 * q^65 - 45 * q^67 - 21 * q^68 + 42 * q^69 + 51 * q^70 - 48 * q^71 + 87 * q^73 + 9 * q^74 + 42 * q^75 - 9 * q^76 - 36 * q^78 - 57 * q^79 + 36 * q^81 - 6 * q^82 - 30 * q^83 + 9 * q^84 + 81 * q^85 - 24 * q^86 - 9 * q^87 + 15 * q^88 - 6 * q^89 - 114 * q^90 - 51 * q^91 - 3 * q^92 + 33 * q^93 + 78 * q^94 - 132 * q^95 + 6 * q^96 - 66 * q^97 + 9 * q^98

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