LMFDB - Embedded newform 418.2.j.d.177.5

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			177.5
Character	$\chi$	$=$	418.177
Dual form			418.2.j.d.111.5

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.766044 - 0.642788i) q^{2} +(2.66407 + 0.969643i) q^{3} +(0.173648 - 0.984808i) q^{4} +(-0.115000 - 0.652197i) q^{5} +(2.66407 - 0.969643i) q^{6} +(0.738881 - 1.27978i) q^{7} +(-0.500000 - 0.866025i) q^{8} +(3.85894 + 3.23803i) q^{9} +O(q^{10})$	\(q+(0.766044 - 0.642788i) q^{2} +(2.66407 + 0.969643i) q^{3} +(0.173648 - 0.984808i) q^{4} +(-0.115000 - 0.652197i) q^{5} +(2.66407 - 0.969643i) q^{6} +(0.738881 - 1.27978i) q^{7} +(-0.500000 - 0.866025i) q^{8} +(3.85894 + 3.23803i) q^{9} +(-0.507320 - 0.425692i) q^{10} +(0.500000 + 0.866025i) q^{11} +(1.41752 - 2.45522i) q^{12} +(-3.14844 + 1.14594i) q^{13} +(-0.256611 - 1.45531i) q^{14} +(0.326030 - 1.84901i) q^{15} +(-0.939693 - 0.342020i) q^{16} +(-3.62808 + 3.04432i) q^{17} +5.03749 q^{18} +(-4.35091 - 0.263720i) q^{19} -0.662259 q^{20} +(3.20936 - 2.69297i) q^{21} +(0.939693 + 0.342020i) q^{22} +(0.636585 - 3.61025i) q^{23} +(-0.492301 - 2.79198i) q^{24} +(4.28633 - 1.56010i) q^{25} +(-1.67525 + 2.90162i) q^{26} +(2.88819 + 5.00248i) q^{27} +(-1.13203 - 0.949887i) q^{28} +(1.46969 + 1.23322i) q^{29} +(-0.938767 - 1.62599i) q^{30} +(-0.0850270 + 0.147271i) q^{31} +(-0.939693 + 0.342020i) q^{32} +(0.492301 + 2.79198i) q^{33} +(-0.822418 + 4.66417i) q^{34} +(-0.919640 - 0.334722i) q^{35} +(3.85894 - 3.23803i) q^{36} -6.52979 q^{37} +(-3.50251 + 2.59469i) q^{38} -9.49882 q^{39} +(-0.507320 + 0.425692i) q^{40} +(3.57415 + 1.30089i) q^{41} +(0.727503 - 4.12588i) q^{42} +(1.49473 + 8.47702i) q^{43} +(0.939693 - 0.342020i) q^{44} +(1.66806 - 2.88916i) q^{45} +(-1.83297 - 3.17480i) q^{46} +(5.29929 + 4.44664i) q^{47} +(-2.17177 - 1.82233i) q^{48} +(2.40811 + 4.17097i) q^{49} +(2.28071 - 3.95030i) q^{50} +(-12.6174 + 4.59234i) q^{51} +(0.581808 + 3.29960i) q^{52} +(0.266194 - 1.50966i) q^{53} +(5.42801 + 1.97564i) q^{54} +(0.507320 - 0.425692i) q^{55} -1.47776 q^{56} +(-11.3354 - 4.92140i) q^{57} +1.91854 q^{58} +(-1.42072 + 1.19213i) q^{59} +(-1.76430 - 0.642154i) q^{60} +(1.11387 - 6.31706i) q^{61} +(0.0295296 + 0.167471i) q^{62} +(6.99527 - 2.54607i) q^{63} +(-0.500000 + 0.866025i) q^{64} +(1.10945 + 1.92162i) q^{65} +(2.17177 + 1.82233i) q^{66} +(-8.19077 - 6.87288i) q^{67} +(2.36806 + 4.10160i) q^{68} +(5.19657 - 9.00072i) q^{69} +(-0.919640 + 0.334722i) q^{70} +(-2.63722 - 14.9564i) q^{71} +(0.874750 - 4.96096i) q^{72} +(-7.94560 - 2.89196i) q^{73} +(-5.00211 + 4.19727i) q^{74} +12.9318 q^{75} +(-1.01524 + 4.23902i) q^{76} +1.47776 q^{77} +(-7.27652 + 6.10573i) q^{78} +(-8.64940 - 3.14812i) q^{79} +(-0.115000 + 0.652197i) q^{80} +(0.219459 + 1.24462i) q^{81} +(3.57415 - 1.30089i) q^{82} +(-4.46669 + 7.73654i) q^{83} +(-2.09476 - 3.62823i) q^{84} +(2.40273 + 2.01613i) q^{85} +(6.59395 + 5.53298i) q^{86} +(2.71958 + 4.71045i) q^{87} +(0.500000 - 0.866025i) q^{88} +(8.06673 - 2.93605i) q^{89} +(-0.579311 - 3.28544i) q^{90} +(-0.859774 + 4.87602i) q^{91} +(-3.44486 - 1.25383i) q^{92} +(-0.369318 + 0.309895i) q^{93} +6.91774 q^{94} +(0.328358 + 2.86798i) q^{95} -2.83505 q^{96} +(-4.00758 + 3.36276i) q^{97} +(4.52577 + 1.64724i) q^{98} +(-0.874750 + 4.96096i) 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
$3$	2.66407	+	0.969643i	1.53810	+	0.559824i	0.965589	−	0.260072i	$-0.0837462\pi$
$3$	2.66407	+	0.969643i	1.53810	+	0.559824i	0.572513	+	0.819895i	$0.305968\pi$
$4$	0.173648	−	0.984808i	0.0868241	−	0.492404i
$5$	−0.115000	−	0.652197i	−0.0514296	−	0.291672i	0.948235	−	0.317569i	$-0.102867\pi$
$5$	−0.115000	−	0.652197i	−0.0514296	−	0.291672i	−0.999665	+	0.0258979i	$0.991756\pi$
$6$	2.66407	−	0.969643i	1.08760	−	0.395855i
$7$	0.738881	−	1.27978i	0.279271	−	0.483711i	−0.691933	−	0.721962i	$-0.743241\pi$
$7$	0.738881	−	1.27978i	0.279271	−	0.483711i	0.971204	+	0.238251i	$0.0765740\pi$
$8$	−0.500000	−	0.866025i	−0.176777	−	0.306186i
$9$	3.85894	+	3.23803i	1.28631	+	1.07934i
$10$	−0.507320	−	0.425692i	−0.160429	−	0.134616i
$11$	0.500000	+	0.866025i	0.150756	+	0.261116i
$11$	0.500000	+	0.866025i	0.150756	+	0.261116i
$12$	1.41752	−	2.45522i	0.409204	−	0.708762i
$13$	−3.14844	+	1.14594i	−0.873220	+	0.317826i	−0.739470	−	0.673189i	$-0.764924\pi$
$13$	−3.14844	+	1.14594i	−0.873220	+	0.317826i	−0.133750	+	0.991015i	$0.542702\pi$
$14$	−0.256611	−	1.45531i	−0.0685821	−	0.388948i
$15$	0.326030	−	1.84901i	0.0841807	−	0.477412i
$16$	−0.939693	−	0.342020i	−0.234923	−	0.0855050i
$17$	−3.62808	+	3.04432i	−0.879938	+	0.738356i	−0.966166	−	0.257920i	$-0.916963\pi$
$17$	−3.62808	+	3.04432i	−0.879938	+	0.738356i	0.0862283	+	0.996275i	$0.472519\pi$
$18$	5.03749			1.18735
$19$	−4.35091	−	0.263720i	−0.998168	−	0.0605014i
$19$	−4.35091	−	0.263720i	−0.998168	−	0.0605014i
$20$	−0.662259			−0.148086
$21$	3.20936	−	2.69297i	0.700340	−	0.587655i
$22$	0.939693	+	0.342020i	0.200343	+	0.0729189i
$23$	0.636585	−	3.61025i	0.132737	−	0.752790i	−0.843672	−	0.536860i	$-0.819610\pi$
$23$	0.636585	−	3.61025i	0.132737	−	0.752790i	0.976409	−	0.215930i	$-0.0692784\pi$
$24$	−0.492301	−	2.79198i	−0.100490	−	0.569910i
$25$	4.28633	−	1.56010i	0.857265	−	0.312019i
$26$	−1.67525	+	2.90162i	−0.328544	+	0.569054i
$27$	2.88819	+	5.00248i	0.555832	+	0.962728i
$28$	−1.13203	−	0.949887i	−0.213934	−	0.179512i
$29$	1.46969	+	1.23322i	0.272915	+	0.229003i	0.768965	−	0.639291i	$-0.220772\pi$
$29$	1.46969	+	1.23322i	0.272915	+	0.229003i	−0.496050	+	0.868294i	$0.665217\pi$
$30$	−0.938767	−	1.62599i	−0.171395	−	0.296864i
$31$	−0.0850270	+	0.147271i	−0.0152713	+	0.0264507i	−0.873560	−	0.486716i	$-0.838195\pi$
$31$	−0.0850270	+	0.147271i	−0.0152713	+	0.0264507i	0.858289	+	0.513167i	$0.171528\pi$
$32$	−0.939693	+	0.342020i	−0.166116	+	0.0604612i
$33$	0.492301	+	2.79198i	0.0856985	+	0.486021i
$34$	−0.822418	+	4.66417i	−0.141044	+	0.799898i
$35$	−0.919640	−	0.334722i	−0.155448	−	0.0565783i
$36$	3.85894	−	3.23803i	0.643157	−	0.539672i
$37$	−6.52979			−1.07349			−0.536745	−	0.843744i	$-0.680346\pi$
$37$	−6.52979			−1.07349			−0.536745	+	0.843744i	$0.680346\pi$
$38$	−3.50251	+	2.59469i	−0.568182	+	0.420915i
$39$	−9.49882			−1.52103
$40$	−0.507320	+	0.425692i	−0.0802143	+	0.0673078i
$41$	3.57415	+	1.30089i	0.558189	+	0.203164i	0.605681	−	0.795707i	$-0.292901\pi$
$41$	3.57415	+	1.30089i	0.558189	+	0.203164i	−0.0474923	+	0.998872i	$0.515123\pi$
$42$	0.727503	−	4.12588i	0.112256	−	0.636636i
$43$	1.49473	+	8.47702i	0.227944	+	1.29273i	0.856977	+	0.515355i	$0.172340\pi$
$43$	1.49473	+	8.47702i	0.227944	+	1.29273i	−0.629033	+	0.777378i	$0.716549\pi$
$44$	0.939693	−	0.342020i	0.141664	−	0.0515615i
$45$	1.66806	−	2.88916i	0.248660	−	0.430691i
$46$	−1.83297	−	3.17480i	−0.270257	−	0.468099i
$47$	5.29929	+	4.44664i	0.772982	+	0.648609i	0.941471	−	0.337095i	$-0.109444\pi$
$47$	5.29929	+	4.44664i	0.772982	+	0.648609i	−0.168489	+	0.985704i	$0.553889\pi$
$48$	−2.17177	−	1.82233i	−0.313468	−	0.263031i
$49$	2.40811	+	4.17097i	0.344016	+	0.595853i
$50$	2.28071	−	3.95030i	0.322541	−	0.558657i
$51$	−12.6174	+	4.59234i	−1.76678	+	0.643057i
$52$	0.581808	+	3.29960i	0.0806823	+	0.457572i
$53$	0.266194	−	1.50966i	0.0365646	−	0.207368i	−0.961052	−	0.276367i	$-0.910869\pi$
$53$	0.266194	−	1.50966i	0.0365646	−	0.207368i	0.997617	+	0.0689990i	$0.0219805\pi$
$54$	5.42801	+	1.97564i	0.738659	+	0.268850i
$55$	0.507320	−	0.425692i	0.0684070	−	0.0574002i
$56$	−1.47776			−0.197474
$57$	−11.3354	−	4.92140i	−1.50141	−	0.651855i
$58$	1.91854			0.251917
$59$	−1.42072	+	1.19213i	−0.184962	+	0.155202i	−0.730567	−	0.682841i	$-0.760744\pi$
$59$	−1.42072	+	1.19213i	−0.184962	+	0.155202i	0.545605	+	0.838042i	$0.316300\pi$
$60$	−1.76430	−	0.642154i	−0.227771	−	0.0829018i
$61$	1.11387	−	6.31706i	0.142616	−	0.808817i	−0.826634	−	0.562740i	$-0.809747\pi$
$61$	1.11387	−	6.31706i	0.142616	−	0.808817i	0.969250	−	0.246077i	$-0.0791416\pi$
$62$	0.0295296	+	0.167471i	0.00375026	+	0.0212688i
$63$	6.99527	−	2.54607i	0.881321	−	0.320775i
$64$	−0.500000	+	0.866025i	−0.0625000	+	0.108253i
$65$	1.10945	+	1.92162i	0.137610	+	0.238348i
$66$	2.17177	+	1.82233i	0.267327	+	0.224314i
$67$	−8.19077	−	6.87288i	−1.00066	−	0.839655i	−0.0135863	−	0.999908i	$-0.504325\pi$
$67$	−8.19077	−	6.87288i	−1.00066	−	0.839655i	−0.987076	+	0.160252i	$0.948769\pi$
$68$	2.36806	+	4.10160i	0.287169	+	0.497392i
$69$	5.19657	−	9.00072i	0.625593	−	1.08356i
$70$	−0.919640	+	0.334722i	−0.109918	+	0.0400069i
$71$	−2.63722	−	14.9564i	−0.312980	−	1.77500i	−0.583328	−	0.812237i	$-0.698250\pi$
$71$	−2.63722	−	14.9564i	−0.312980	−	1.77500i	0.270348	−	0.962763i	$-0.412861\pi$
$72$	0.874750	−	4.96096i	0.103090	−	0.584654i
$73$	−7.94560	−	2.89196i	−0.929962	−	0.338479i	−0.167768	−	0.985827i	$-0.553656\pi$
$73$	−7.94560	−	2.89196i	−0.929962	−	0.338479i	−0.762195	+	0.647348i	$0.775878\pi$
$74$	−5.00211	+	4.19727i	−0.581483	+	0.487922i
$75$	12.9318			1.49324
$76$	−1.01524	+	4.23902i	−0.116456	+	0.486249i
$77$	1.47776			0.168407
$78$	−7.27652	+	6.10573i	−0.823904	+	0.691337i
$79$	−8.64940	−	3.14812i	−0.973133	−	0.354192i	−0.193966	−	0.981008i	$-0.562135\pi$
$79$	−8.64940	−	3.14812i	−0.973133	−	0.354192i	−0.779167	+	0.626817i	$0.784358\pi$
$80$	−0.115000	+	0.652197i	−0.0128574	+	0.0729179i
$81$	0.219459	+	1.24462i	0.0243844	+	0.138291i
$82$	3.57415	−	1.30089i	0.394699	−	0.143659i
$83$	−4.46669	+	7.73654i	−0.490283	+	0.849195i	−0.999937	−	0.0111839i	$-0.996440\pi$
$83$	−4.46669	+	7.73654i	−0.490283	+	0.849195i	0.509654	+	0.860379i	$0.329773\pi$
$84$	−2.09476	−	3.62823i	−0.228557	−	0.395873i
$85$	2.40273	+	2.01613i	0.260612	+	0.218680i
$86$	6.59395	+	5.53298i	0.711044	+	0.596637i
$87$	2.71958	+	4.71045i	0.291570	+	0.505014i
$88$	0.500000	−	0.866025i	0.0533002	−	0.0923186i
$89$	8.06673	−	2.93605i	0.855072	−	0.311221i	0.122965	−	0.992411i	$-0.460760\pi$
$89$	8.06673	−	2.93605i	0.855072	−	0.311221i	0.732106	+	0.681190i	$0.238537\pi$
$90$	−0.579311	−	3.28544i	−0.0610647	−	0.346315i
$91$	−0.859774	+	4.87602i	−0.0901288	+	0.511146i
$92$	−3.44486	−	1.25383i	−0.359152	−	0.130721i
$93$	−0.369318	+	0.309895i	−0.0382965	+	0.0321346i
$94$	6.91774			0.713510
$95$	0.328358	+	2.86798i	0.0336888	+	0.294249i
$96$	−2.83505			−0.289351
$97$	−4.00758	+	3.36276i	−0.406908	+	0.341437i	−0.823157	−	0.567814i	$-0.807789\pi$
$97$	−4.00758	+	3.36276i	−0.406908	+	0.341437i	0.416248	+	0.909251i	$0.363345\pi$
$98$	4.52577	+	1.64724i	0.457171	+	0.166397i
$99$	−0.874750	+	4.96096i	−0.0879157	+	0.498595i
$100$	−0.792081	−	4.49212i	−0.0792081	−	0.449212i
$101$	−2.17502	+	0.791642i	−0.216422	+	0.0787713i	−0.447956	−	0.894056i	$-0.647848\pi$
$101$	−2.17502	+	0.791642i	−0.216422	+	0.0787713i	0.231534	+	0.972827i	$0.425626\pi$
$102$	−6.71356	+	11.6282i	−0.664741	+	1.15137i
$103$	7.81712	+	13.5397i	0.770244	+	1.33410i	0.937429	+	0.348176i	$0.113199\pi$
$103$	7.81712	+	13.5397i	0.770244	+	1.33410i	−0.167185	+	0.985925i	$0.553468\pi$
$104$	2.56663	+	2.15366i	0.251679	+	0.211184i
$105$	−2.12543	−	1.78345i	−0.207420	−	0.174046i
$106$	−0.766476	−	1.32757i	−0.0744467	−	0.128945i
$107$	3.88739	−	6.73316i	0.375808	−	0.650919i	−0.614639	−	0.788808i	$-0.710698\pi$
$107$	3.88739	−	6.73316i	0.375808	−	0.650919i	0.990448	+	0.137889i	$0.0440318\pi$
$108$	5.42801	−	1.97564i	0.522311	−	0.190106i
$109$	−0.295232	−	1.67435i	−0.0282781	−	0.160373i	0.967399	−	0.253258i	$-0.0815022\pi$
$109$	−0.295232	−	1.67435i	−0.0282781	−	0.160373i	−0.995677	+	0.0928849i	$0.970391\pi$
$110$	0.115000	−	0.652197i	0.0109648	−	0.0621846i
$111$	−17.3958	−	6.33156i	−1.65114	−	0.600965i
$112$	−1.13203	+	0.949887i	−0.106967	+	0.0897559i
$113$	7.45745			0.701538			0.350769	−	0.936462i	$-0.385920\pi$
$113$	7.45745			0.701538			0.350769	+	0.936462i	$0.385920\pi$
$114$	−11.8469	+	3.51627i	−1.10956	+	0.329328i
$115$	−2.42781			−0.226394
$116$	1.46969	−	1.23322i	0.136457	−	0.114501i
$117$	−15.8602	−	5.77265i	−1.46628	−	0.533682i
$118$	−0.322051	+	1.82644i	−0.0296472	+	0.168138i
$119$	1.21534	+	6.89253i	0.111410	+	0.631837i
$120$	−1.76430	+	0.642154i	−0.161058	+	0.0586204i
$121$	−0.500000	+	0.866025i	−0.0454545	+	0.0787296i
$122$	−3.20726	−	5.55513i	−0.290371	−	0.502938i
$123$	8.26040	+	6.93130i	0.744816	+	0.624975i
$124$	0.130269	+	0.109309i	0.0116985	+	0.00981620i
$125$	−3.16606	−	5.48378i	−0.283181	−	0.490485i
$126$	3.72210	−	6.44687i	0.331591	−	0.574333i
$127$	11.0970	−	4.03897i	0.984699	−	0.358401i	0.201034	−	0.979584i	$-0.435570\pi$
$127$	11.0970	−	4.03897i	0.984699	−	0.358401i	0.783665	+	0.621183i	$0.213348\pi$
$128$	0.173648	+	0.984808i	0.0153485	+	0.0870455i
$129$	−4.23762	+	24.0327i	−0.373102	+	2.11596i
$130$	2.08508	+	0.758908i	0.182874	+	0.0665606i
$131$	8.48604	−	7.12063i	0.741428	−	0.622132i	−0.191792	−	0.981436i	$-0.561430\pi$
$131$	8.48604	−	7.12063i	0.741428	−	0.622132i	0.933221	+	0.359303i	$0.116986\pi$
$132$	2.83505			0.246759
$133$	−3.55231	+	5.37335i	−0.308024	+	0.465929i
$134$	−10.6923			−0.923674
$135$	2.93047	−	2.45895i	0.252214	−	0.211633i
$136$	4.45050	+	1.61985i	0.381627	+	0.138901i
$137$	−0.317194	+	1.79890i	−0.0270997	+	0.153690i	−0.995355	−	0.0962736i	$-0.969308\pi$
$137$	−0.317194	+	1.79890i	−0.0270997	+	0.153690i	0.968255	+	0.249964i	$0.0804187\pi$
$138$	−1.80475	−	10.2352i	−0.153630	−	0.871281i
$139$	−15.5082	+	5.64452i	−1.31539	+	0.478762i	−0.901977	−	0.431783i	$-0.857885\pi$
$139$	−15.5082	+	5.64452i	−1.31539	+	0.478762i	−0.413410	+	0.910545i	$0.635662\pi$
$140$	−0.489330	+	0.847545i	−0.0413560	+	0.0716306i
$141$	9.80605	+	16.9846i	0.825819	+	1.43036i
$142$	−11.6340	−	9.76210i	−0.976305	−	0.819217i
$143$	−2.56663	−	2.15366i	−0.214633	−	0.180098i
$144$	−2.51874	−	4.36259i	−0.209895	−	0.363549i
$145$	0.635286	−	1.10035i	0.0527577	−	0.0913789i
$146$	−7.94560	+	2.89196i	−0.657583	+	0.239341i
$147$	2.37103	+	13.4468i	0.195559	+	1.10907i
$148$	−1.13389	+	6.43059i	−0.0932048	+	0.528591i
$149$	−0.581515	−	0.211654i	−0.0476395	−	0.0173394i	0.318090	−	0.948060i	$-0.396958\pi$
$149$	−0.581515	−	0.211654i	−0.0476395	−	0.0173394i	−0.365730	+	0.930721i	$0.619181\pi$
$150$	9.90635	−	8.31241i	0.808850	−	0.678706i
$151$	15.5184			1.26287			0.631435	−	0.775429i	$-0.282466\pi$
$151$	15.5184			1.26287			0.631435	+	0.775429i	$0.282466\pi$
$152$	1.94707	+	3.89986i	0.157928	+	0.316321i
$153$	−23.8581			−1.92882
$154$	1.13203	−	0.949887i	0.0912217	−	0.0765441i
$155$	0.105828	+	0.0385182i	0.00850030	+	0.00309386i
$156$	−1.64945	+	9.35451i	−0.132062	+	0.748961i
$157$	−1.82290	−	10.3382i	−0.145483	−	0.825078i	−0.966978	−	0.254861i	$-0.917970\pi$
$157$	−1.82290	−	10.3382i	−0.145483	−	0.825078i	0.821494	−	0.570217i	$-0.193141\pi$
$158$	−8.64940	+	3.14812i	−0.688109	+	0.250451i
$159$	2.17299	−	3.76374i	0.172330	−	0.298484i
$160$	0.331129	+	0.573533i	0.0261781	+	0.0453417i
$161$	−4.14997	−	3.48224i	−0.327063	−	0.274439i
$162$	0.968140	+	0.812366i	0.0760642	+	0.0638255i
$163$	7.85825	+	13.6109i	0.615505	+	1.06609i	0.990296	+	0.138977i	$0.0443814\pi$
$163$	7.85825	+	13.6109i	0.615505	+	1.06609i	−0.374790	+	0.927110i	$0.622285\pi$
$164$	1.90177	−	3.29396i	0.148503	−	0.257215i
$165$	1.76430	−	0.642154i	0.137351	−	0.0499917i
$166$	1.55127	+	8.79767i	0.120402	+	0.682831i
$167$	0.880050	−	4.99101i	0.0681003	−	0.386216i	−0.931639	−	0.363385i	$-0.881621\pi$
$167$	0.880050	−	4.99101i	0.0681003	−	0.386216i	0.999739	−	0.0228309i	$-0.00726795\pi$
$168$	−3.93686	−	1.43290i	−0.303736	−	0.110551i
$169$	−1.35908	+	1.14040i	−0.104544	+	0.0877231i
$170$	3.13654			0.240561
$171$	−15.9360	−	15.1061i	−1.21865	−	1.15519i
$172$	8.60779			0.656338
$173$	18.4521	−	15.4831i	1.40288	−	1.17716i	0.443082	−	0.896481i	$-0.353885\pi$
$173$	18.4521	−	15.4831i	1.40288	−	1.17716i	0.959802	−	0.280678i	$-0.0905593\pi$
$174$	5.11114	+	1.86030i	0.387475	+	0.141029i
$175$	1.17051	−	6.63828i	0.0884820	−	0.501807i
$176$	−0.173648	−	0.984808i	−0.0130892	−	0.0742327i
$177$	−4.94084	+	1.79832i	−0.371376	+	0.135170i
$178$	4.29222	−	7.43434i	0.321715	−	0.557227i
$179$	12.1255	+	21.0021i	0.906306	+	1.56977i	0.819155	+	0.573572i	$0.194443\pi$
$179$	12.1255	+	21.0021i	0.906306	+	1.56977i	0.0871504	+	0.996195i	$0.472224\pi$
$180$	−2.55562	−	2.14442i	−0.190484	−	0.159835i
$181$	−11.1651	−	9.36861i	−0.829893	−	0.696363i	0.125373	−	0.992110i	$-0.459987\pi$
$181$	−11.1651	−	9.36861i	−0.829893	−	0.696363i	−0.955266	+	0.295746i	$0.904432\pi$
$182$	2.47562	+	4.28790i	0.183505	+	0.317840i
$183$	9.09272	−	15.7491i	0.672153	−	1.16420i
$184$	−3.44486	+	1.25383i	−0.253959	+	0.0924334i
$185$	0.750926	+	4.25871i	0.0552092	+	0.313107i
$186$	−0.0837177	+	0.474787i	−0.00613848	+	0.0348130i
$187$	−4.45050	−	1.61985i	−0.325453	−	0.118455i
$188$	5.29929	−	4.44664i	0.386491	−	0.324304i
$189$	8.53610			0.620910
$190$	2.09504	+	1.98594i	0.151990	+	0.144075i
$191$	22.3658			1.61833			0.809165	−	0.587582i	$-0.199920\pi$
$191$	22.3658			1.61833			0.809165	+	0.587582i	$0.199920\pi$
$192$	−2.17177	+	1.82233i	−0.156734	+	0.131516i
$193$	−14.7127	−	5.35499i	−1.05904	−	0.385460i	−0.246975	−	0.969022i	$-0.579436\pi$
$193$	−14.7127	−	5.35499i	−1.05904	−	0.385460i	−0.812069	+	0.583562i	$0.801659\pi$
$194$	−0.908445	+	5.15205i	−0.0652226	+	0.369896i
$195$	1.09236	+	6.19511i	0.0782259	+	0.443641i
$196$	4.52577	−	1.64724i	0.323269	−	0.117660i
$197$	0.621639	−	1.07671i	0.0442899	−	0.0767124i	−0.843031	−	0.537866i	$-0.819231\pi$
$197$	0.621639	−	1.07671i	0.0442899	−	0.0767124i	0.887321	+	0.461153i	$0.152564\pi$
$198$	2.51874	+	4.36259i	0.178999	+	0.310036i
$199$	17.7276	+	14.8752i	1.25668	+	1.05448i	0.996028	+	0.0890429i	$0.0283808\pi$
$199$	17.7276	+	14.8752i	1.25668	+	1.05448i	0.260649	+	0.965434i	$0.416064\pi$
$200$	−3.49425	−	2.93202i	−0.247080	−	0.207325i
$201$	−15.1566	−	26.2520i	−1.06906	−	1.85167i
$202$	−1.15730	+	2.00451i	−0.0814275	+	0.141037i
$203$	2.66417	−	0.969679i	0.186988	−	0.0680581i
$204$	2.33159	+	13.2231i	0.163244	+	0.925804i
$205$	0.437406	−	2.48065i	0.0305498	−	0.173256i
$206$	14.6914	+	5.34723i	1.02360	+	0.372559i
$207$	14.1467	−	11.8705i	0.983262	−	0.825055i
$208$	3.35050			0.232315
$209$	−1.94707	−	3.89986i	−0.134682	−	0.269759i
$210$	−2.77455			−0.191462
$211$	18.1919	−	15.2648i	1.25238	−	1.05087i	0.255931	−	0.966695i	$-0.417618\pi$
$211$	18.1919	−	15.2648i	1.25238	−	1.05087i	0.996451	−	0.0841780i	$-0.0268264\pi$
$212$	−1.44050	−	0.524300i	−0.0989342	−	0.0360091i
$213$	7.47664	−	42.4021i	0.512291	−	2.90534i
$214$	−1.35008	−	7.65667i	−0.0922894	−	0.523399i
$215$	5.35679	−	1.94971i	0.365330	−	0.132969i
$216$	2.88819	−	5.00248i	0.196516	−	0.340376i
$217$	0.125650	+	0.217632i	0.00852966	+	0.0147738i
$218$	−1.30241	−	1.09285i	−0.0882104	−	0.0740173i
$219$	−18.3635	−	15.4088i	−1.24089	−	1.04123i
$220$	−0.331129	−	0.573533i	−0.0223247	−	0.0386676i
$221$	7.93418	−	13.7424i	0.533711	−	0.924415i
$222$	−17.3958	+	6.33156i	−1.16753	+	0.424947i
$223$	0.340081	+	1.92870i	0.0227735	+	0.129155i	0.994075	−	0.108697i	$-0.0346678\pi$
$223$	0.340081	+	1.92870i	0.0227735	+	0.129155i	−0.971301	+	0.237852i	$0.923557\pi$
$224$	−0.256611	+	1.45531i	−0.0171455	+	0.0972371i
$225$	21.5923	+	7.85896i	1.43949	+	0.523931i
$226$	5.71274	−	4.79356i	0.380006	−	0.318863i
$227$	28.7236			1.90645			0.953225	−	0.302263i	$-0.0977420\pi$
$227$	28.7236			1.90645			0.953225	+	0.302263i	$0.0977420\pi$
$228$	−6.81501	+	10.3086i	−0.451335	+	0.682706i
$229$	−9.05015			−0.598051			−0.299025	−	0.954245i	$-0.596662\pi$
$229$	−9.05015			−0.598051			−0.299025	+	0.954245i	$0.596662\pi$
$230$	−1.85981	+	1.56056i	−0.122632	+	0.102901i
$231$	3.93686	+	1.43290i	0.259027	+	0.0942780i
$232$	0.333152	−	1.88940i	0.0218725	−	0.124045i
$233$	−1.77270	−	10.0535i	−0.116134	−	0.658627i	−0.986183	−	0.165662i	$-0.947024\pi$
$233$	−1.77270	−	10.0535i	−0.116134	−	0.658627i	0.870049	−	0.492965i	$-0.164087\pi$
$234$	−15.8602	+	5.77265i	−1.03682	+	0.377370i
$235$	2.29067	−	3.96755i	0.149427	−	0.258814i
$236$	0.927309	+	1.60615i	0.0603627	+	0.104551i
$237$	−19.9901	−	16.7737i	−1.29849	−	1.08957i
$238$	5.36144	+	4.49878i	0.347530	+	0.291612i
$239$	9.46137	+	16.3876i	0.612005	+	1.06002i	0.990902	+	0.134585i	$0.0429702\pi$
$239$	9.46137	+	16.3876i	0.612005	+	1.06002i	−0.378897	+	0.925439i	$0.623696\pi$
$240$	−0.938767	+	1.62599i	−0.0605971	+	0.104957i
$241$	−17.8483	+	6.49625i	−1.14971	+	0.418460i	−0.845411	−	0.534117i	$-0.820644\pi$
$241$	−17.8483	+	6.49625i	−1.14971	+	0.418460i	−0.304299	+	0.952577i	$0.598422\pi$
$242$	0.173648	+	0.984808i	0.0111625	+	0.0633058i
$243$	2.38699	−	13.5373i	0.153126	−	0.868418i
$244$	−6.02767	−	2.19389i	−0.385882	−	0.140450i
$245$	2.44336	−	2.05022i	0.156101	−	0.130984i
$246$	10.7832			0.687511
$247$	14.0008	−	4.15557i	0.890850	−	0.264413i
$248$	0.170054			0.0107984
$249$	−19.4013	+	16.2796i	−1.22951	+	1.03168i
$250$	−5.95025	−	2.16572i	−0.376327	−	0.136972i
$251$	0.623564	−	3.53641i	0.0393590	−	0.223216i	−0.958784	−	0.284137i	$-0.908293\pi$
$251$	0.623564	−	3.53641i	0.0393590	−	0.223216i	0.998143	+	0.0609215i	$0.0194039\pi$
$252$	−1.29267	−	7.33111i	−0.0814307	−	0.461817i
$253$	3.44486	−	1.25383i	0.216577	−	0.0788275i
$254$	5.90459	−	10.2270i	0.370487	−	0.641702i
$255$	4.44611	+	7.70089i	0.278426	+	0.482249i
$256$	0.766044	+	0.642788i	0.0478778	+	0.0401742i
$257$	12.3535	+	10.3658i	0.770592	+	0.646603i	0.940860	−	0.338794i	$-0.110019\pi$
$257$	12.3535	+	10.3658i	0.770592	+	0.646603i	−0.170269	+	0.985398i	$0.554464\pi$
$258$	12.2017	+	21.1340i	0.759647	+	1.31575i
$259$	−4.82474	+	8.35669i	−0.299795	+	0.519259i
$260$	2.08508	−	0.758908i	0.129311	−	0.0470655i
$261$	1.67825	+	9.51782i	0.103881	+	0.589138i
$262$	1.92363	−	10.9094i	0.118842	−	0.673987i
$263$	−28.6996	−	10.4458i	−1.76969	−	0.644116i	−0.999984	−	0.00572311i	$-0.998178\pi$
$263$	−28.6996	−	10.4458i	−1.76969	−	0.644116i	−0.769711	−	0.638393i	$-0.779600\pi$
$264$	2.17177	−	1.82233i	0.133663	−	0.112157i
$265$	−1.01521			−0.0623639
$266$	0.732697	+	6.39961i	0.0449245	+	0.392385i
$267$	24.3373			1.48942
$268$	−8.19077	+	6.87288i	−0.500331	+	0.419828i
$269$	−9.18089	−	3.34157i	−0.559769	−	0.203739i	0.0466126	−	0.998913i	$-0.485157\pi$
$269$	−9.18089	−	3.34157i	−0.559769	−	0.203739i	−0.606382	+	0.795174i	$0.707380\pi$
$270$	0.664283	−	3.76733i	0.0404270	−	0.229273i
$271$	2.08773	+	11.8401i	0.126820	+	0.719234i	0.980210	+	0.197960i	$0.0634318\pi$
$271$	2.08773	+	11.8401i	0.126820	+	0.719234i	−0.853390	+	0.521274i	$0.825457\pi$
$272$	4.45050	−	1.61985i	0.269851	−	0.0982177i
$273$	−7.01850	+	12.1564i	−0.424779	+	0.735739i
$274$	0.913325	+	1.58192i	0.0551760	+	0.0955676i
$275$	3.49425	+	2.93202i	0.210711	+	0.176807i
$276$	−7.96160	−	6.68058i	−0.479232	−	0.402124i
$277$	−12.7601	−	22.1012i	−0.766682	−	1.32793i	−0.939353	−	0.342952i	$-0.888573\pi$
$277$	−12.7601	−	22.1012i	−0.766682	−	1.32793i	0.172671	−	0.984980i	$-0.444760\pi$
$278$	−8.25173	+	14.2924i	−0.494906	+	0.857203i
$279$	−0.804983	+	0.292990i	−0.0481931	+	0.0175408i
$280$	0.169943	+	0.963793i	0.0101560	+	0.0575976i
$281$	−1.45123	+	8.23036i	−0.0865734	+	0.490982i	0.910433	+	0.413658i	$0.135749\pi$
$281$	−1.45123	+	8.23036i	−0.0865734	+	0.490982i	−0.997006	+	0.0773247i	$0.975362\pi$
$282$	18.4294	+	6.70774i	1.09745	+	0.399440i
$283$	−5.95181	+	4.99416i	−0.353798	+	0.296872i	−0.802313	−	0.596903i	$-0.796398\pi$
$283$	−5.95181	+	4.99416i	−0.353798	+	0.296872i	0.448515	+	0.893775i	$0.351953\pi$
$284$	−15.1871			−0.901191
$285$	−1.90615	+	7.95890i	−0.112911	+	0.471445i
$286$	−3.35050			−0.198119
$287$	4.30572	−	3.61293i	0.254159	−	0.213264i
$288$	−4.73369	−	1.72292i	−0.278935	−	0.101524i
$289$	0.943053	−	5.34832i	0.0554737	−	0.314607i
$290$	−0.220633	−	1.25127i	−0.0129560	−	0.0734771i
$291$	−13.9372	+	5.07271i	−0.817011	+	0.297368i
$292$	−4.22777	+	7.32271i	−0.247411	+	0.428529i
$293$	7.81105	+	13.5291i	0.456327	+	0.790381i	0.998763	−	0.0497157i	$-0.0158315\pi$
$293$	7.81105	+	13.5291i	0.456327	+	0.790381i	−0.542437	+	0.840097i	$0.682498\pi$
$294$	10.4597	+	8.77675i	0.610024	+	0.511871i
$295$	0.940884	+	0.789496i	0.0547804	+	0.0459662i
$296$	3.26489	+	5.65496i	0.189768	+	0.328688i
$297$	−2.88819	+	5.00248i	−0.167590	+	0.290274i
$298$	−0.581515	+	0.211654i	−0.0336862	+	0.0122608i
$299$	2.13288	+	12.0962i	0.123348	+	0.699539i
$300$	2.24559	−	12.7354i	0.129649	−	0.735276i
$301$	11.9531	+	4.35059i	0.688967	+	0.250764i
$302$	11.8878	−	9.97504i	0.684066	−	0.573999i
$303$	−6.56201			−0.376978
$304$	3.99832	+	1.73592i	0.229320	+	0.0995616i
$305$	−4.24807			−0.243244
$306$	−18.2764	+	15.3357i	−1.04479	+	0.876685i
$307$	−8.71346	−	3.17144i	−0.497304	−	0.181004i	0.0811772	−	0.996700i	$-0.474132\pi$
$307$	−8.71346	−	3.17144i	−0.497304	−	0.181004i	−0.578481	+	0.815696i	$0.696354\pi$
$308$	0.256611	−	1.45531i	0.0146218	−	0.0829241i
$309$	7.69675	+	43.6504i	0.437853	+	2.48319i
$310$	0.105828	−	0.0385182i	0.00601062	−	0.00218769i
$311$	−13.5367	+	23.4463i	−0.767596	+	1.32952i	0.171267	+	0.985225i	$0.445214\pi$
$311$	−13.5367	+	23.4463i	−0.767596	+	1.32952i	−0.938863	+	0.344290i	$0.888120\pi$
$312$	4.74941	+	8.22622i	0.268882	+	0.465718i
$313$	−4.45659	−	3.73952i	−0.251901	−	0.211370i	0.508089	−	0.861304i	$-0.330352\pi$
$313$	−4.45659	−	3.73952i	−0.251901	−	0.211370i	−0.759990	+	0.649934i	$0.774796\pi$
$314$	−8.04169	−	6.74778i	−0.453819	−	0.380799i
$315$	−2.46500	−	4.26950i	−0.138887	−	0.240559i
$316$	−4.60225	+	7.97133i	−0.258897	+	0.448422i
$317$	10.6356	−	3.87102i	0.597352	−	0.217418i	−0.0256079	−	0.999672i	$-0.508152\pi$
$317$	10.6356	−	3.87102i	0.597352	−	0.217418i	0.622960	+	0.782254i	$0.285930\pi$
$318$	−0.754673	−	4.27996i	−0.0423200	−	0.240008i
$319$	−0.333152	+	1.88940i	−0.0186529	+	0.105786i
$320$	0.622320	+	0.226506i	0.0347887	+	0.0126621i
$321$	16.8851	−	14.1682i	0.942432	−	0.790794i
$322$	−5.41740			−0.301900
$323$	16.5883	−	12.2888i	0.922998	−	0.683766i
$324$	1.26382			0.0702120
$325$	−11.7075	+	9.82373i	−0.649414	+	0.544923i
$326$	14.7687	+	5.37536i	0.817961	+	0.297714i
$327$	0.836998	−	4.74685i	0.0462861	−	0.262501i
$328$	−0.660477	−	3.74575i	−0.0364687	−	0.206824i
$329$	9.60626	−	3.49639i	0.529610	−	0.192762i
$330$	0.938767	−	1.62599i	0.0516774	−	0.0895079i
$331$	−17.8438	−	30.9063i	−0.980781	−	1.69876i	−0.659361	−	0.751826i	$-0.729173\pi$
$331$	−17.8438	−	30.9063i	−0.980781	−	1.69876i	−0.321420	−	0.946937i	$-0.604160\pi$
$332$	6.84337	+	5.74227i	0.375579	+	0.315148i
$333$	−25.1981	−	21.1437i	−1.38085	−	1.15867i
$334$	−2.53400	−	4.38902i	−0.138654	−	0.240157i
$335$	−3.54053	+	6.13238i	−0.193440	+	0.335048i
$336$	−3.93686	+	1.43290i	−0.214774	+	0.0781712i
$337$	1.78938	+	10.1481i	0.0974737	+	0.552801i	0.993961	+	0.109732i	$0.0349992\pi$
$337$	1.78938	+	10.1481i	0.0974737	+	0.552801i	−0.896488	+	0.443069i	$0.853890\pi$
$338$	−0.308078	+	1.74720i	−0.0167572	+	0.0950349i
$339$	19.8672	+	7.23106i	1.07904	+	0.392737i
$340$	2.40273	−	2.01613i	0.130306	−	0.109340i
$341$	−0.170054			−0.00920894
$342$	−21.9177	−	1.32848i	−1.18517	−	0.0718362i
$343$	17.4616			0.942836
$344$	6.59395	−	5.53298i	0.355522	−	0.298318i
$345$	−6.46785	−	2.35410i	−0.348217	−	0.126741i
$346$	4.18274	−	23.7215i	0.224866	−	1.27528i
$347$	1.28689	+	7.29832i	0.0690839	+	0.391794i	0.999669	+	0.0257193i	$0.00818760\pi$
$347$	1.28689	+	7.29832i	0.0690839	+	0.391794i	−0.930585	+	0.366075i	$0.880701\pi$
$348$	5.11114	−	1.86030i	0.273986	−	0.0997227i
$349$	3.97360	−	6.88248i	0.212702	−	0.368411i	−0.739857	−	0.672764i	$-0.765107\pi$
$349$	3.97360	−	6.88248i	0.212702	−	0.368411i	0.952559	+	0.304353i	$0.0984403\pi$
$350$	−3.37034	−	5.83760i	−0.180152	−	0.312033i
$351$	−14.8258	−	12.4403i	−0.791344	−	0.664016i
$352$	−0.766044	−	0.642788i	−0.0408303	−	0.0342607i
$353$	−1.83344	−	3.17562i	−0.0975843	−	0.169021i	0.813100	−	0.582124i	$-0.197778\pi$
$353$	−1.83344	−	3.17562i	−0.0975843	−	0.169021i	−0.910684	+	0.413103i	$0.864445\pi$
$354$	−2.62896	+	4.55350i	−0.139728	+	0.242016i
$355$	−9.45125	+	3.43997i	−0.501620	+	0.182575i
$356$	−1.49067	−	8.45402i	−0.0790054	−	0.448062i
$357$	−3.44554	+	19.5406i	−0.182357	+	1.03420i
$358$	22.7886	+	8.29436i	1.20441	+	0.438370i
$359$	−1.17336	+	0.984568i	−0.0619277	+	0.0519635i	−0.673226	−	0.739437i	$-0.735092\pi$
$359$	−1.17336	+	0.984568i	−0.0619277	+	0.0519635i	0.611298	+	0.791400i	$0.290648\pi$
$360$	−3.33612			−0.175829
$361$	18.8609	+	2.29484i	0.992679	+	0.120781i
$362$	−14.5750			−0.766043
$363$	−2.17177	+	1.82233i	−0.113988	+	0.0956477i
$364$	4.65265	+	1.69342i	0.243865	+	0.0887596i
$365$	−0.972386	+	5.51468i	−0.0508970	+	0.288651i
$366$	−3.15787	−	17.9092i	−0.165064	−	0.936127i
$367$	−29.2504	+	10.6463i	−1.52686	+	0.555730i	−0.962849	−	0.270039i	$-0.912963\pi$
$367$	−29.2504	+	10.6463i	−1.52686	+	0.555730i	−0.564007	+	0.825770i	$0.690741\pi$
$368$	−1.83297	+	3.17480i	−0.0955504	+	0.165498i
$369$	9.58013	+	16.5933i	0.498721	+	0.863811i
$370$	3.31269	+	2.77968i	0.172219	+	0.144508i
$371$	−1.73535	−	1.45613i	−0.0900948	−	0.0755985i
$372$	0.241055	+	0.417520i	0.0124981	+	0.0216474i
$373$	3.17618	−	5.50130i	0.164456	−	0.284847i	−0.772006	−	0.635615i	$-0.780746\pi$
$373$	3.17618	−	5.50130i	0.164456	−	0.284847i	0.936462	+	0.350769i	$0.114080\pi$
$374$	−4.45050	+	1.61985i	−0.230130	+	0.0837604i
$375$	−3.11731	−	17.6791i	−0.160977	−	0.912947i
$376$	1.20125	−	6.81264i	0.0619499	−	0.351335i
$377$	−6.04042	−	2.19853i	−0.311098	−	0.113230i
$378$	6.53903	−	5.48690i	0.336332	−	0.282216i
$379$	−24.0178			−1.23371			−0.616857	−	0.787076i	$-0.711594\pi$
$379$	−24.0178			−1.23371			−0.616857	+	0.787076i	$0.711594\pi$
$380$	2.88143	+	0.174651i	0.147814	+	0.00895938i
$381$	33.4796			1.71521
$382$	17.1332	−	14.3764i	0.876609	−	0.735562i
$383$	−13.5474	−	4.93084i	−0.692238	−	0.251954i	−0.0281450	−	0.999604i	$-0.508960\pi$
$383$	−13.5474	−	4.93084i	−0.692238	−	0.251954i	−0.664093	+	0.747650i	$0.731182\pi$
$384$	−0.492301	+	2.79198i	−0.0251226	+	0.142477i
$385$	−0.169943	−	0.963793i	−0.00866108	−	0.0491194i
$386$	−14.7127	+	5.35499i	−0.748857	+	0.272562i
$387$	−21.6808	+	37.5523i	−1.10210	+	1.90889i
$388$	2.61576	+	4.53064i	0.132795	+	0.230008i
$389$	3.35131	+	2.81208i	0.169918	+	0.142578i	0.723781	−	0.690030i	$-0.242402\pi$
$389$	3.35131	+	2.81208i	0.169918	+	0.142578i	−0.553863	+	0.832608i	$0.686847\pi$
$390$	4.81894	+	4.04357i	0.244016	+	0.204754i
$391$	8.68118	+	15.0363i	0.439026	+	0.760416i
$392$	2.40811	−	4.17097i	0.121628	−	0.210666i
$393$	29.5119	−	10.7414i	1.48868	−	0.541834i
$394$	−0.215893	−	1.22439i	−0.0108765	−	0.0616838i
$395$	−1.05852	+	6.00315i	−0.0532598	+	0.302051i
$396$	4.73369	+	1.72292i	0.237877	+	0.0865801i
$397$	−28.5183	+	23.9297i	−1.43129	+	1.20100i	−0.486346	+	0.873766i	$0.661671\pi$
$397$	−28.5183	+	23.9297i	−1.43129	+	1.20100i	−0.944945	+	0.327230i	$0.893885\pi$
$398$	23.1417			1.15999
$399$	−14.6738	+	10.8705i	−0.734611	+	0.544207i
$400$	−4.56141			−0.228071
$401$	17.9409	−	15.0542i	0.895926	−	0.751772i	−0.0734635	−	0.997298i	$-0.523405\pi$
$401$	17.9409	−	15.0542i	0.895926	−	0.751772i	0.969390	+	0.245526i	$0.0789608\pi$
$402$	−28.4850	−	10.3677i	−1.42071	−	0.517094i
$403$	0.0989388	−	0.561110i	0.00492849	−	0.0279509i
$404$	0.401927	+	2.27944i	0.0199966	+	0.113406i
$405$	0.786498	−	0.286262i	0.0390814	−	0.0142245i
$406$	1.41758	−	2.45531i	0.0703531	−	0.121855i
$407$	−3.26489	−	5.65496i	−0.161835	−	0.280306i
$408$	10.2858	+	8.63078i	0.509221	+	0.427287i
$409$	−20.3160	−	17.0472i	−1.00456	−	0.842929i	−0.0169532	−	0.999856i	$-0.505397\pi$
$409$	−20.3160	−	17.0472i	−1.00456	−	0.842929i	−0.987610	+	0.156928i	$0.949841\pi$
$410$	−1.25946	−	2.18145i	−0.0622004	−	0.107734i
$411$	−2.58932	+	4.48483i	−0.127722	+	0.221220i
$412$	14.6914	−	5.34723i	0.723792	−	0.263439i
$413$	0.475915	+	2.69905i	0.0234182	+	0.132811i
$414$	3.20679	−	18.1866i	0.157605	−	0.893823i
$415$	5.55942	+	2.02346i	0.272901	+	0.0993279i
$416$	2.56663	−	2.15366i	0.125839	−	0.105592i
$417$	−46.7881			−2.29122
$418$	−3.99832	−	1.73592i	−0.195564	−	0.0849064i
$419$	−5.46302			−0.266886			−0.133443	−	0.991056i	$-0.542603\pi$
$419$	−5.46302			−0.266886			−0.133443	+	0.991056i	$0.542603\pi$
$420$	−2.12543	+	1.78345i	−0.103710	+	0.0870232i
$421$	−12.1209	−	4.41165i	−0.590737	−	0.215011i	0.0293164	−	0.999570i	$-0.490667\pi$
$421$	−12.1209	−	4.41165i	−0.590737	−	0.215011i	−0.620054	+	0.784559i	$0.712889\pi$
$422$	4.12377	−	23.3870i	0.200742	−	1.13846i
$423$	6.05129	+	34.3186i	0.294224	+	1.66863i
$424$	−1.44050	+	0.524300i	−0.0699570	+	0.0254623i
$425$	−10.8017	+	18.7091i	−0.523959	+	0.907524i
$426$	−21.5281	−	37.2878i	−1.04304	−	1.80660i
$427$	−7.26143	−	6.09306i	−0.351405	−	0.294864i
$428$	−5.95583	−	4.99753i	−0.287886	−	0.241565i
$429$	−4.74941	−	8.22622i	−0.229304	−	0.397166i
$430$	2.85029	−	4.93685i	0.137453	−	0.238076i
$431$	−21.2431	+	7.73186i	−1.02325	+	0.372431i	−0.798505	−	0.601988i	$-0.794375\pi$
$431$	−21.2431	+	7.73186i	−1.02325	+	0.372431i	−0.224740	+	0.974419i	$0.572153\pi$
$432$	−1.00306	−	5.68861i	−0.0482596	−	0.273694i
$433$	−0.184407	+	1.04582i	−0.00886204	+	0.0502591i	−0.988918	−	0.148462i	$-0.952568\pi$
$433$	−0.184407	+	1.04582i	−0.00886204	+	0.0502591i	0.980056	+	0.198721i	$0.0636788\pi$
$434$	0.236144	+	0.0859494i	0.0113353	+	0.00412571i
$435$	2.75939	−	2.31541i	0.132303	−	0.111015i
$436$	−1.70018			−0.0814237
$437$	−3.72182	+	15.5400i	−0.178039	+	0.743380i
$438$	−23.9718			−1.14542
$439$	13.6971	−	11.4932i	0.653726	−	0.548542i	−0.254473	−	0.967080i	$-0.581902\pi$
$439$	13.6971	−	11.4932i	0.653726	−	0.548542i	0.908199	+	0.418538i	$0.137457\pi$
$440$	−0.622320	−	0.226506i	−0.0296679	−	0.0107982i
$441$	−4.21299	+	23.8931i	−0.200619	+	1.13776i
$442$	−2.75551	−	15.6273i	−0.131066	−	0.743314i
$443$	−20.8404	+	7.58527i	−0.990155	+	0.360387i	−0.785780	−	0.618506i	$-0.787738\pi$
$443$	−20.8404	+	7.58527i	−0.990155	+	0.360387i	−0.204375	+	0.978893i	$0.565516\pi$
$444$	−9.25613	+	16.0321i	−0.439276	+	0.760849i
$445$	−2.84256	−	4.92346i	−0.134750	−	0.233394i
$446$	1.50026	+	1.25887i	0.0710393	+	0.0596090i
$447$	−1.34397	−	1.12772i	−0.0635675	−	0.0533395i
$448$	0.738881	+	1.27978i	0.0349088	+	0.0604639i
$449$	11.6121	−	20.1127i	0.548009	−	0.949179i	−0.450402	−	0.892826i	$-0.648719\pi$
$449$	11.6121	−	20.1127i	0.548009	−	0.949179i	0.998411	−	0.0563533i	$-0.0179473\pi$
$450$	21.5923	−	7.85896i	1.01787	−	0.370475i
$451$	0.660477	+	3.74575i	0.0311006	+	0.176380i
$452$	1.29497	−	7.34415i	0.0609104	−	0.345440i
$453$	41.3422	+	15.0473i	1.94242	+	0.706985i
$454$	22.0035	−	18.4631i	1.03268	−	0.866518i
$455$	3.27900			0.153722
$456$	1.40566	+	12.2775i	0.0658260	+	0.574945i
$457$	23.4287			1.09595			0.547973	−	0.836496i	$-0.315399\pi$
$457$	23.4287			1.09595			0.547973	+	0.836496i	$0.315399\pi$
$458$	−6.93282	+	5.81732i	−0.323949	+	0.271826i
$459$	−25.7077	−	9.35684i	−1.19993	−	0.436740i
$460$	−0.421584	+	2.39092i	−0.0196565	+	0.111477i
$461$	1.71143	+	9.70600i	0.0797092	+	0.452053i	0.998373	+	0.0570139i	$0.0181579\pi$
$461$	1.71143	+	9.70600i	0.0797092	+	0.452053i	−0.918664	+	0.395039i	$0.870731\pi$
$462$	3.93686	−	1.43290i	0.183160	−	0.0666646i
$463$	4.70099	−	8.14235i	0.218474	−	0.378407i	−0.735868	−	0.677125i	$-0.763226\pi$
$463$	4.70099	−	8.14235i	0.218474	−	0.378407i	0.954341	+	0.298718i	$0.0965589\pi$
$464$	−0.959272	−	1.66151i	−0.0445331	−	0.0771336i
$465$	0.244584	+	0.205231i	0.0113423	+	0.00951734i
$466$	−7.82024	−	6.56196i	−0.362266	−	0.303977i
$467$	4.12864	+	7.15101i	0.191051	+	0.330909i	0.945599	−	0.325335i	$-0.105477\pi$
$467$	4.12864	+	7.15101i	0.191051	+	0.330909i	−0.754548	+	0.656245i	$0.772144\pi$
$468$	−8.43905	+	14.6169i	−0.390095	+	0.675665i
$469$	−14.8478	+	5.40415i	−0.685606	+	0.249540i
$470$	−0.795540	−	4.51173i	−0.0366955	−	0.208111i
$471$	5.16801	−	29.3093i	0.238129	−	1.35050i
$472$	1.74277	+	0.634317i	0.0802176	+	0.0291968i
$473$	−6.59395	+	5.53298i	−0.303190	+	0.254407i
$474$	−26.0952			−1.19859
$475$	−19.0609	+	5.65745i	−0.874573	+	0.259582i
$476$	6.99886			0.320792
$477$	5.91557	−	4.96375i	0.270855	−	0.227274i
$478$	17.7816	+	6.47196i	0.813310	+	0.296021i
$479$	4.06313	−	23.0432i	0.185649	−	1.05287i	−0.739469	−	0.673191i	$-0.764923\pi$
$479$	4.06313	−	23.0432i	0.185649	−	1.05287i	0.925118	−	0.379679i	$-0.123966\pi$
$480$	0.326030	+	1.84901i	0.0148812	+	0.0843954i
$481$	20.5587	−	7.48274i	0.937394	−	0.341183i
$482$	−9.49688	+	16.4491i	−0.432571	+	0.749235i
$483$	−7.67929	−	13.3009i	−0.349420	−	0.605213i
$484$	0.766044	+	0.642788i	0.0348202	+	0.0292176i
$485$	2.65406	+	2.22702i	0.120514	+	0.101124i
$486$	−6.87307	−	11.9045i	−0.311769	−	0.539999i
$487$	−15.1995	+	26.3262i	−0.688753	+	1.19296i	0.283489	+	0.958976i	$0.408508\pi$
$487$	−15.1995	+	26.3262i	−0.688753	+	1.19296i	−0.972242	+	0.233979i	$0.924825\pi$
$488$	−6.02767	+	2.19389i	−0.272860	+	0.0993129i
$489$	7.73724	+	43.8801i	0.349890	+	1.98433i
$490$	0.553865	−	3.14113i	0.0250211	−	0.141902i
$491$	11.0377	+	4.01740i	0.498125	+	0.181303i	0.578850	−	0.815434i	$-0.303502\pi$
$491$	11.0377	+	4.01740i	0.498125	+	0.181303i	−0.0807255	+	0.996736i	$0.525724\pi$
$492$	8.26040	−	6.93130i	0.372408	−	0.312487i
$493$	−9.08645			−0.409233
$494$	8.05408	−	12.1829i	0.362370	−	0.548134i
$495$	3.33612			0.149947
$496$	0.130269	−	0.109309i	0.00584925	−	0.00490810i
$497$	−21.0895	−	7.67595i	−0.945993	−	0.344313i
$498$	−4.39791	+	24.9418i	−0.197075	+	1.11767i
$499$	0.859189	+	4.87270i	0.0384626	+	0.218132i	0.997981	−	0.0635139i	$-0.0202307\pi$
$499$	0.859189	+	4.87270i	0.0384626	+	0.218132i	−0.959518	+	0.281646i	$0.909120\pi$
$500$	−5.95025	+	2.16572i	−0.266103	+	0.0968537i
$501$	7.18401	−	12.4431i	0.320958	−	0.555916i
$502$	−1.79548	−	3.10986i	−0.0801362	−	0.138800i
$503$	19.6558	+	16.4932i	0.876409	+	0.735394i	0.965438	−	0.260635i	$-0.0839318\pi$
$503$	19.6558	+	16.4932i	0.876409	+	0.735394i	−0.0890285	+	0.996029i	$0.528376\pi$
$504$	−5.70259	−	4.78504i	−0.254014	−	0.213143i
$505$	0.766434	+	1.32750i	0.0341058	+	0.0590731i
$506$	1.83297	−	3.17480i	0.0814856	−	0.141137i
$507$	−4.72646	+	1.72029i	−0.209909	+	0.0764008i
$508$	−2.05064	−	11.6298i	−0.0909825	−	0.515987i
$509$	3.92040	−	22.2337i	0.173769	−	0.985492i	−0.765786	−	0.643095i	$-0.777650\pi$
$509$	3.92040	−	22.2337i	0.173769	−	0.985492i	0.939555	−	0.342397i	$-0.111239\pi$
$510$	8.35596	+	3.04132i	0.370008	+	0.134672i
$511$	−9.57193	+	8.03180i	−0.423437	+	0.355306i
$512$	1.00000			0.0441942
$513$	−11.2470	−	22.5270i	−0.496567	−	0.994593i
$514$	16.1264			0.711304
$515$	7.93156	−	6.65537i	0.349506	−	0.293270i
$516$	22.9318	+	8.34648i	1.00951	+	0.367433i
$517$	−1.20125	+	6.81264i	−0.0528310	+	0.299620i
$518$	1.67561	+	9.50288i	0.0736222	+	0.417532i
$519$	64.1707	−	23.3562i	2.81678	−	1.02522i
$520$	1.10945	−	1.92162i	0.0486525	−	0.0842687i
$521$	−7.24850	−	12.5548i	−0.317563	−	0.550034i	0.662416	−	0.749136i	$-0.269531\pi$
$521$	−7.24850	−	12.5548i	−0.317563	−	0.550034i	−0.979979	+	0.199101i	$0.936198\pi$
$522$	7.40355	+	6.21231i	0.324044	+	0.271906i
$523$	13.7127	+	11.5063i	0.599614	+	0.503136i	0.891322	−	0.453372i	$-0.149779\pi$
$523$	13.7127	+	11.5063i	0.599614	+	0.503136i	−0.291708	+	0.956508i	$0.594223\pi$
$524$	−5.53887	−	9.59360i	−0.241967	−	0.419098i
$525$	9.55507	−	16.5499i	0.417018	−	0.722296i
$526$	−28.6996	+	10.4458i	−1.25136	+	0.455459i
$527$	−0.139856	−	0.793160i	−0.00609220	−	0.0345506i
$528$	0.492301	−	2.79198i	0.0214246	−	0.121505i
$529$	8.98423	+	3.26999i	0.390619	+	0.142174i
$530$	−0.777696	+	0.652565i	−0.0337810	+	0.0283456i
$531$	−9.34262			−0.405435
$532$	4.67487	+	4.43142i	0.202681	+	0.192126i
$533$	−12.7437			−0.551993
$534$	18.6434	−	15.6437i	0.806780	−	0.676969i
$535$	−4.83840	−	1.76103i	−0.209182	−	0.0761361i
$536$	−1.85670	+	10.5299i	−0.0801971	+	0.454821i
$537$	11.9388	+	67.7084i	0.515198	+	2.92183i
$538$	−9.18089	+	3.34157i	−0.395816	+	0.144065i
$539$	−2.40811	+	4.17097i	−0.103725	+	0.179656i
$540$	−1.91273	−	3.31294i	−0.0823106	−	0.142566i
$541$	−3.88755	−	3.26204i	−0.167139	−	0.140246i	0.555382	−	0.831595i	$-0.312572\pi$
$541$	−3.88755	−	3.26204i	−0.167139	−	0.140246i	−0.722521	+	0.691349i	$0.757017\pi$
$542$	9.20995	+	7.72807i	0.395601	+	0.331949i
$543$	−20.6604	−	35.7848i	−0.886621	−	1.53567i
$544$	2.36806	−	4.10160i	0.101530	−	0.175855i
$545$	−1.05805	+	0.385100i	−0.0453220	+	0.0164959i
$546$	2.43750	+	13.8237i	0.104315	+	0.591602i
$547$	−7.35624	+	41.7193i	−0.314530	+	1.78379i	0.260312	+	0.965525i	$0.416175\pi$
$547$	−7.35624	+	41.7193i	−0.314530	+	1.78379i	−0.574842	+	0.818265i	$0.694936\pi$
$548$	1.71649	+	0.624751i	0.0733248	+	0.0266880i
$549$	24.7532	−	20.7704i	1.05644	−	0.886460i
$550$	4.56141			0.194499
$551$	−6.06927	−	5.75321i	−0.258560	−	0.245095i
$552$	−10.3931			−0.442361
$553$	−10.4198	+	8.74323i	−0.443094	+	0.371800i
$554$	−23.9812	−	8.72844i	−1.01886	−	0.370836i
$555$	−2.12891	+	12.0736i	−0.0903672	+	0.512498i
$556$	2.86580	+	16.2527i	0.121537	+	0.689270i
$557$	−25.3892	+	9.24092i	−1.07578	+	0.391550i	−0.818334	−	0.574744i	$-0.805102\pi$
$557$	−25.3892	+	9.24092i	−1.07578	+	0.391550i	−0.257442	+	0.966294i	$0.582880\pi$
$558$	−0.428322	+	0.741876i	−0.0181323	+	0.0314061i
$559$	−14.4202	−	24.9765i	−0.609909	−	1.05639i
$560$	0.749698	+	0.629071i	0.0316805	+	0.0265831i
$561$	−10.2858	−	8.63078i	−0.434265	−	0.364392i
$562$	4.17866	+	7.23766i	0.176266	+	0.305302i
$563$	−22.1686	+	38.3972i	−0.934296	+	1.61825i	−0.158411	+	0.987373i	$0.550637\pi$
$563$	−22.1686	+	38.3972i	−0.934296	+	1.61825i	−0.775885	+	0.630874i	$0.782696\pi$
$564$	18.4294	−	6.70774i	0.776016	−	0.282447i
$565$	−0.857607	−	4.86373i	−0.0360798	−	0.204619i
$566$	−1.34917	+	7.65150i	−0.0567097	+	0.321617i
$567$	1.75499	+	0.638764i	0.0737026	+	0.0268256i
$568$	−11.6340	+	9.76210i	−0.488153	+	0.409609i
$569$	−36.9510			−1.54907			−0.774534	−	0.632532i	$-0.782015\pi$
$569$	−36.9510			−1.54907			−0.774534	+	0.632532i	$0.782015\pi$
$570$	3.65569	+	7.32212i	0.153120	+	0.306690i
$571$	−3.51465			−0.147084			−0.0735418	−	0.997292i	$-0.523430\pi$
$571$	−3.51465			−0.147084			−0.0735418	+	0.997292i	$0.523430\pi$
$572$	−2.56663	+	2.15366i	−0.107316	+	0.0900490i
$573$	59.5840	+	21.6868i	2.48916	+	0.905979i
$574$	0.976027	−	5.53533i	0.0407386	−	0.231040i
$575$	−2.90373	−	16.4679i	−0.121094	−	0.686757i
$576$	−4.73369	+	1.72292i	−0.197237	+	0.0717884i
$577$	7.74323	−	13.4117i	0.322355	−	0.558335i	−0.658619	−	0.752477i	$-0.728859\pi$
$577$	7.74323	−	13.4117i	0.322355	−	0.558335i	0.980973	+	0.194142i	$0.0621923\pi$
$578$	−2.71541	−	4.70323i	−0.112946	−	0.195629i
$579$	−34.0033	−	28.5321i	−1.41313	−	1.18576i
$580$	−0.973315	−	0.816708i	−0.0404147	−	0.0339120i
$581$	6.60071	+	11.4328i	0.273844	+	0.474311i
$582$	−7.41581	+	12.8446i	−0.307395	+	0.532424i
$583$	1.44050	−	0.524300i	0.0596595	−	0.0217143i
$584$	1.46829	+	8.32707i	0.0607582	+	0.344577i
$585$	−1.94098	+	11.0079i	−0.0802497	+	0.455119i
$586$	14.6800	+	5.34308i	0.606424	+	0.220720i
$587$	−5.61486	+	4.71143i	−0.231750	+	0.194461i	−0.751266	−	0.659999i	$-0.770557\pi$
$587$	−5.61486	+	4.71143i	−0.231750	+	0.194461i	0.519516	+	0.854461i	$0.326112\pi$
$588$	13.6542			0.563090
$589$	0.408783	−	0.618341i	0.0168436	−	0.0254783i
$590$	1.22824			0.0505657
$591$	2.70011	−	2.26567i	0.111068	−	0.0931970i
$592$	6.13599	+	2.23332i	0.252188	+	0.0917889i
$593$	−0.851216	+	4.82748i	−0.0349552	+	0.198241i	−0.997284	−	0.0736459i	$-0.976537\pi$
$593$	−0.851216	+	4.82748i	−0.0349552	+	0.198241i	0.962329	+	0.271887i	$0.0876477\pi$
$594$	1.00306	+	5.68861i	0.0411559	+	0.233407i
$595$	4.35553	−	1.58528i	0.178559	−	0.0649902i
$596$	−0.309417	+	0.535927i	−0.0126742	+	0.0219524i
$597$	32.8040	+	56.8181i	1.34258	+	2.32541i
$598$	9.40914	+	7.89521i	0.384768	+	0.322859i
$599$	−17.1049	−	14.3527i	−0.698888	−	0.586437i	0.222569	−	0.974917i	$-0.428556\pi$
$599$	−17.1049	−	14.3527i	−0.698888	−	0.586437i	−0.921457	+	0.388480i	$0.873000\pi$
$600$	−6.46591	−	11.1993i	−0.263970	−	0.457209i
$601$	16.7979	−	29.0948i	0.685201	−	1.18680i	−0.288172	−	0.957579i	$-0.593048\pi$
$601$	16.7979	−	29.0948i	0.685201	−	1.18680i	0.973374	−	0.229225i	$-0.0736191\pi$
$602$	11.9531	−	4.35059i	0.487173	−	0.177317i
$603$	−9.35309	−	53.0440i	−0.380887	−	2.16012i
$604$	2.69474	−	15.2827i	0.109648	−	0.621842i
$605$	0.622320	+	0.226506i	0.0253009	+	0.00920877i
$606$	−5.02679	+	4.21798i	−0.204200	+	0.171344i
$607$	18.3620			0.745292			0.372646	−	0.927973i	$-0.378450\pi$
$607$	18.3620			0.745292			0.372646	+	0.927973i	$0.378450\pi$
$608$	4.17872	−	1.24028i	0.169469	−	0.0503002i
$609$	8.03779			0.325708
$610$	−3.25421	+	2.73060i	−0.131759	+	0.110559i
$611$	−21.7801	−	7.92730i	−0.881128	−	0.320704i
$612$	−4.14292	+	23.4957i	−0.167468	+	0.949757i
$613$	−3.80125	−	21.5580i	−0.153531	−	0.870719i	−0.960116	−	0.279601i	$-0.909798\pi$
$613$	−3.80125	−	21.5580i	−0.153531	−	0.870719i	0.806585	−	0.591118i	$-0.201313\pi$
$614$	−8.71346	+	3.17144i	−0.351647	+	0.127989i
$615$	3.57063	−	6.18451i	0.143982	−	0.249384i
$616$	−0.738881	−	1.27978i	−0.0297704	−	0.0515638i
$617$	10.6807	+	8.96215i	0.429988	+	0.360803i	0.831947	−	0.554855i	$-0.187226\pi$
$617$	10.6807	+	8.96215i	0.429988	+	0.360803i	−0.401959	+	0.915658i	$0.631671\pi$
$618$	33.9540	+	28.4908i	1.36583	+	1.14607i
$619$	6.67169	+	11.5557i	0.268158	+	0.464463i	0.968386	−	0.249456i	$-0.0802518\pi$
$619$	6.67169	+	11.5557i	0.268158	+	0.464463i	−0.700228	+	0.713919i	$0.746918\pi$
$620$	0.0563099	−	0.0975315i	0.00226146	−	0.00391696i
$621$	19.8988	−	7.24258i	0.798512	−	0.290635i
$622$	4.70125	+	26.6621i	0.188503	+	1.06905i
$623$	2.20286	−	12.4930i	0.0882556	−	0.500523i
$624$	8.92597	+	3.24879i	0.357325	+	0.130056i
$625$	14.2588	−	11.9646i	0.570353	−	0.478583i
$626$	−5.81766			−0.232520
$627$	−1.40566	−	12.2775i	−0.0561366	−	0.490315i
$628$	−10.4977			−0.418903
$629$	23.6906	−	19.8788i	0.944605	−	0.792618i
$630$	−4.63268	−	1.68616i	−0.184570	−	0.0671781i
$631$	−5.65839	+	32.0903i	−0.225257	+	1.27750i	0.636937	+	0.770916i	$0.280201\pi$
$631$	−5.65839	+	32.0903i	−0.225257	+	1.27750i	−0.862194	+	0.506579i	$0.830910\pi$
$632$	1.59834	+	9.06466i	0.0635787	+	0.360573i
$633$	63.2659	−	23.0269i	2.51460	−	0.915238i
$634$	5.65906	−	9.80178i	0.224750	−	0.389278i
$635$	−3.91036	−	6.77295i	−0.155178	−	0.268776i
$636$	−3.32922	−	2.79355i	−0.132012	−	0.110771i
$637$	−12.3615	−	10.3725i	−0.489779	−	0.410973i
$638$	0.959272	+	1.66151i	0.0379779	+	0.0657797i
$639$	38.2525	−	66.2553i	1.51325	−	2.62102i
$640$	0.622320	−	0.226506i	0.0245993	−	0.00895343i
$641$	5.10158	+	28.9325i	0.201500	+	1.14276i	0.902853	+	0.429950i	$0.141469\pi$
$641$	5.10158	+	28.9325i	0.201500	+	1.14276i	−0.701352	+	0.712815i	$0.747420\pi$
$642$	3.82753	−	21.7070i	0.151061	−	0.856707i
$643$	−3.08397	−	1.12247i	−0.121620	−	0.0442661i	0.280493	−	0.959856i	$-0.409502\pi$
$643$	−3.08397	−	1.12247i	−0.121620	−	0.0442661i	−0.402113	+	0.915590i	$0.631724\pi$
$644$	−4.14997	+	3.48224i	−0.163532	+	0.137219i
$645$	16.1614			0.636355
$646$	4.80830	−	20.0765i	0.189180	−	0.789899i
$647$	36.5759			1.43795			0.718974	−	0.695037i	$-0.244612\pi$
$647$	36.5759			1.43795			0.718974	+	0.695037i	$0.244612\pi$
$648$	0.968140	−	0.812366i	0.0380321	−	0.0319127i
$649$	−1.74277	−	0.634317i	−0.0684098	−	0.0248991i
$650$	−2.65387	+	15.0508i	−0.104093	+	0.590342i
$651$	0.123715	+	0.701622i	0.00484877	+	0.0274987i
$652$	14.7687	−	5.37536i	0.578386	−	0.210515i
$653$	−4.99385	+	8.64961i	−0.195425	+	0.338485i	−0.947040	−	0.321117i	$-0.895942\pi$
$653$	−4.99385	+	8.64961i	−0.195425	+	0.338485i	0.751615	+	0.659602i	$0.229275\pi$
$654$	−2.41004	−	4.17431i	−0.0942400	−	0.163228i
$655$	−5.61995	−	4.71570i	−0.219590	−	0.184258i
$656$	−2.91368	−	2.44486i	−0.113760	−	0.0954559i
$657$	−21.2973	−	36.8880i	−0.830888	−	1.43914i
$658$	5.11139	−	8.85318i	0.199263	−	0.345133i
$659$	44.8602	−	16.3278i	1.74750	−	0.636039i	0.747890	−	0.663823i	$-0.231067\pi$
$659$	44.8602	−	16.3278i	1.74750	−	0.636039i	0.999614	+	0.0277833i	$0.00884483\pi$
$660$	−0.326030	−	1.84901i	−0.0126907	−	0.0719726i
$661$	3.57571	−	20.2789i	0.139079	−	0.788757i	−0.832853	−	0.553495i	$-0.813294\pi$
$661$	3.57571	−	20.2789i	0.139079	−	0.788757i	0.971932	−	0.235262i	$-0.0755950\pi$
$662$	−33.5353	−	12.2058i	−1.30339	−	0.474394i
$663$	34.4625	−	28.9174i	1.33841	−	1.12306i
$664$	8.93338			0.346683
$665$	3.91300	+	1.69887i	0.151740	+	0.0658794i
$666$	−32.8937			−1.27461
$667$	5.38781	−	4.52091i	0.208617	−	0.175050i
$668$	−4.76237	−	1.73336i	−0.184262	−	0.0670657i
$669$	−0.964145	+	5.46794i	−0.0372760	+	0.211403i
$670$	1.22961	+	6.97349i	0.0475041	+	0.269409i
$671$	6.02767	−	2.19389i	0.232696	−	0.0846943i
$672$	−2.09476	+	3.62823i	−0.0808072	+	0.139962i
$673$	−22.1447	−	38.3558i	−0.853617	−	1.47851i	−0.877922	−	0.478804i	$-0.841070\pi$
$673$	−22.1447	−	38.3558i	−0.853617	−	1.47851i	0.0243045	−	0.999705i	$-0.492263\pi$
$674$	7.89380	+	6.62368i	0.304058	+	0.255135i
$675$	20.1841	+	16.9364i	0.776885	+	0.651884i
$676$	0.887074	+	1.53646i	0.0341182	+	0.0590945i
$677$	−23.1519	+	40.1003i	−0.889800	+	1.54118i	−0.0496891	+	0.998765i	$0.515823\pi$
$677$	−23.1519	+	40.1003i	−0.889800	+	1.54118i	−0.840111	+	0.542414i	$0.817510\pi$
$678$	19.8672	−	7.23106i	0.762995	−	0.277707i
$679$	1.34247	+	7.61350i	0.0515191	+	0.292179i
$680$	0.544654	−	3.08888i	0.0208865	−	0.118453i
$681$	76.5216	+	27.8516i	2.93231	+	1.06728i
$682$	−0.130269	+	0.109309i	−0.00498825	+	0.00418564i
$683$	−21.0561			−0.805689			−0.402844	−	0.915269i	$-0.631978\pi$
$683$	−21.0561			−0.805689			−0.402844	+	0.915269i	$0.631978\pi$
$684$	−17.6438	+	13.0707i	−0.674629	+	0.499772i
$685$	1.20971			0.0462208
$686$	13.3763	−	11.2241i	0.510711	−	0.428537i
$687$	−24.1102	−	8.77541i	−0.919863	−	0.334803i
$688$	1.49473	−	8.47702i	0.0569859	−	0.323183i
$689$	0.891884	+	5.05812i	0.0339781	+	0.192699i
$690$	−6.46785	+	2.35410i	−0.246227	+	0.0896192i
$691$	8.64691	−	14.9769i	0.328944	−	0.569748i	−0.653359	−	0.757049i	$-0.726641\pi$
$691$	8.64691	−	14.9769i	0.328944	−	0.569748i	0.982303	+	0.187301i	$0.0599739\pi$
$692$	−12.0437	−	20.8603i	−0.457834	−	0.792991i
$693$	5.70259	+	4.78504i	0.216624	+	0.181769i
$694$	5.67709	+	4.76364i	0.215499	+	0.180825i
$695$	5.46478	+	9.46528i	0.207291	+	0.359039i
$696$	2.71958	−	4.71045i	0.103085	−	0.178549i
$697$	−16.9276	+	6.16115i	−0.641179	+	0.233370i
$698$	−1.38002	−	7.82647i	−0.0522344	−	0.296236i
$699$	5.02570	−	28.5021i	0.190089	−	1.07805i
$700$	−6.33417	−	2.30545i	−0.239409	−	0.0871378i
$701$	−5.21456	+	4.37553i	−0.196951	+	0.165262i	−0.735930	−	0.677058i	$-0.763255\pi$
$701$	−5.21456	+	4.37553i	−0.196951	+	0.165262i	0.538979	+	0.842319i	$0.318810\pi$
$702$	−19.3537			−0.730460
$703$	28.4105	+	1.72203i	1.07152	+	0.0649477i
$704$	−1.00000			−0.0376889
$705$	9.94961	−	8.34871i	0.374724	−	0.314431i
$706$	−3.44575	−	1.25415i	−0.129682	−	0.0472005i
$707$	−0.593952	+	3.36847i	−0.0223379	+	0.126684i
$708$	0.913030	+	5.17805i	0.0343138	+	0.194603i
$709$	−42.2422	+	15.3749i	−1.58644	+	0.577416i	−0.976591	−	0.215103i	$-0.930991\pi$
$709$	−42.2422	+	15.3749i	−1.58644	+	0.577416i	−0.609847	+	0.792519i	$0.708769\pi$
$710$	−5.02891	+	8.71032i	−0.188731	+	0.326892i
$711$	−23.1838	−	40.1555i	−0.869459	−	1.50595i
$712$	−6.57606	−	5.51797i	−0.246448	−	0.206795i
$713$	0.477559	+	0.400720i	0.0178847	+	0.0150071i
$714$	9.92104	+	17.1837i	0.371286	+	0.643086i
$715$	−1.10945	+	1.92162i	−0.0414910	+	0.0718646i
$716$	22.7886	−	8.29436i	0.851649	−	0.309975i
$717$	9.31568	+	52.8318i	0.347900	+	1.97304i
$718$	−0.265980	+	1.50845i	−0.00992627	+	0.0562947i
$719$	−20.1152	−	7.32135i	−0.750172	−	0.273040i	−0.0614937	−	0.998107i	$-0.519586\pi$
$719$	−20.1152	−	7.32135i	−0.750172	−	0.273040i	−0.688678	+	0.725067i	$0.741809\pi$
$720$	−2.55562	+	2.14442i	−0.0952422	+	0.0799177i
$721$	23.1037			0.860426
$722$	15.9234	−	10.3656i	0.592607	−	0.385768i
$723$	−53.8482			−2.00264
$724$	−11.1651	+	9.36861i	−0.414947	+	0.348182i
$725$	8.22351	+	2.99311i	0.305413	+	0.111161i
$726$	−0.492301	+	2.79198i	−0.0182710	+	0.103620i
$727$	5.93212	+	33.6427i	0.220010	+	1.24774i	0.871998	+	0.489510i	$0.162824\pi$
$727$	5.93212	+	33.6427i	0.220010	+	1.24774i	−0.651988	+	0.758229i	$0.726065\pi$
$728$	4.65265	−	1.69342i	0.172439	−	0.0627625i
$729$	21.3812	−	37.0333i	0.791896	−	1.37160i
$730$	2.79987	+	4.84953i	0.103628	+	0.179489i
$731$	−31.2297	−	26.2049i	−1.15507	−	0.969221i
$732$	−13.9309	−	11.6894i	−0.514899	−	0.432052i
$733$	2.98906	+	5.17720i	0.110403	+	0.191224i	0.915933	−	0.401331i	$-0.131452\pi$
$733$	2.98906	+	5.17720i	0.110403	+	0.191224i	−0.805530	+	0.592556i	$0.798119\pi$
$734$	−15.5638	+	26.9573i	−0.574470	+	0.995011i
$735$	8.49728	−	3.09276i	0.313427	−	0.114078i
$736$	0.636585	+	3.61025i	0.0234648	+	0.133076i
$737$	1.85670	−	10.5299i	0.0683923	−	0.387872i
$738$	18.0047	+	6.55319i	0.662764	+	0.241226i
$739$	−8.46406	+	7.10219i	−0.311355	+	0.261258i	−0.785052	−	0.619430i	$-0.787364\pi$
$739$	−8.46406	+	7.10219i	−0.311355	+	0.261258i	0.473697	+	0.880688i	$0.342919\pi$
$740$	4.32441			0.158968
$741$	41.3286	+	2.50503i	1.51824	+	0.0920244i
$742$	−2.26534			−0.0831631
$743$	11.2992	−	9.48114i	0.414527	−	0.347829i	−0.411550	−	0.911387i	$-0.635012\pi$
$743$	11.2992	−	9.48114i	0.414527	−	0.347829i	0.826076	+	0.563558i	$0.190568\pi$
$744$	0.453036	+	0.164892i	0.0166091	+	0.00604522i
$745$	−0.0711660	+	0.403602i	−0.00260732	+	0.0147869i
$746$	−1.10308	−	6.25585i	−0.0403864	−	0.229043i
$747$	−42.2879	+	15.3915i	−1.54723	+	0.563146i
$748$	−2.36806	+	4.10160i	−0.0865848	+	0.149969i
$749$	−5.74464	−	9.95001i	−0.209905	−	0.363565i
$750$	−13.7519	−	11.5392i	−0.502150	−	0.421354i
$751$	−1.19331	−	1.00131i	−0.0435445	−	0.0365382i	0.620756	−	0.784004i	$-0.286826\pi$
$751$	−1.19331	−	1.00131i	−0.0435445	−	0.0365382i	−0.664300	+	0.747466i	$0.731270\pi$
$752$	−3.45887	−	5.99094i	−0.126132	−	0.218467i
$753$	5.09027	−	8.81661i	0.185500	−	0.321295i
$754$	−6.04042	+	2.19853i	−0.219979	+	0.0800659i
$755$	−1.78462	−	10.1211i	−0.0649489	−	0.368343i
$756$	1.48228	−	8.40642i	0.0539099	−	0.305738i
$757$	41.8012	+	15.2144i	1.51929	+	0.552976i	0.960971	−	0.276650i	$-0.0892244\pi$
$757$	41.8012	+	15.2144i	1.51929	+	0.552976i	0.558319	+	0.829626i	$0.311447\pi$
$758$	−18.3987	+	15.4384i	−0.668272	+	0.560747i
$759$	10.3931			0.377247
$760$	2.31957	−	1.71836i	0.0841395	−	0.0623314i
$761$	37.4365			1.35707			0.678536	−	0.734567i	$-0.262615\pi$
$761$	37.4365			1.35707			0.678536	+	0.734567i	$0.262615\pi$
$762$	25.6468	−	21.5202i	0.929086	−	0.779596i
$763$	−2.36094	−	0.859310i	−0.0854716	−	0.0311091i
$764$	3.88377	−	22.0260i	0.140510	−	0.796872i
$765$	2.74369	+	15.5602i	0.0991982	+	0.562581i
$766$	−13.5474	+	4.93084i	−0.489486	+	0.178158i
$767$	3.10695	−	5.38140i	0.112185	−	0.194311i
$768$	1.41752	+	2.45522i	0.0511505	+	0.0885952i
$769$	16.4675	+	13.8179i	0.593834	+	0.498286i	0.889457	−	0.457019i	$-0.151083\pi$
$769$	16.4675	+	13.8179i	0.593834	+	0.498286i	−0.295623	+	0.955305i	$0.595527\pi$
$770$	−0.749698	−	0.629071i	−0.0270172	−	0.0226701i
$771$	22.8595	+	39.5939i	0.823266	+	1.42594i
$772$	−7.82847	+	13.5593i	−0.281753	+	0.488010i
$773$	−30.2306	+	11.0030i	−1.08732	+	0.395751i	−0.822627	−	0.568582i	$-0.807492\pi$
$773$	−30.2306	+	11.0030i	−1.08732	+	0.395751i	−0.264691	+	0.964333i	$0.585270\pi$
$774$	7.52967	+	42.7029i	0.270648	+	1.53492i
$775$	−0.134697	+	0.763902i	−0.00483844	+	0.0274402i
$776$	4.91603	+	1.78929i	0.176475	+	0.0642317i
$777$	−20.9565	+	17.5846i	−0.751809	+	0.630842i
$778$	4.37482			0.156845
$779$	−15.2078	−	6.60261i	−0.544875	−	0.236563i
$780$	6.29068			0.225242
$781$	11.6340	−	9.76210i	0.416298	−	0.349316i
$782$	16.3153	+	5.93828i	0.583434	+	0.212352i
$783$	−1.92441	+	10.9139i	−0.0687727	+	0.390030i
$784$	−0.836328	−	4.74305i	−0.0298688	−	0.169395i
$785$	−6.53291	+	2.37778i	−0.233170	+	0.0848668i
$786$	15.7029	−	27.1983i	0.560105	−	0.970131i
$787$	23.7549	+	41.1447i	0.846771	+	1.46665i	0.884075	+	0.467346i	$0.154790\pi$
$787$	23.7549	+	41.1447i	0.846771	+	1.46665i	−0.0373041	+	0.999304i	$0.511877\pi$
$788$	−0.952406	−	0.799163i	−0.0339281	−	0.0284690i
$789$	−66.3291	−	55.6568i	−2.36138	−	1.98143i
$790$	3.04788	+	5.27908i	0.108439	+	0.187821i
$791$	5.51017	−	9.54389i	0.195919	−	0.339342i
$792$	4.73369	−	1.72292i	0.168204	−	0.0612214i
$793$	3.73202	+	21.1653i	0.132528	+	0.751603i
$794$	−6.46457	+	36.6624i	−0.229419	+	1.30110i
$795$	−2.70459	−	0.984391i	−0.0959220	−	0.0349128i
$796$	17.7276	−	14.8752i	0.628338	−	0.527238i
$797$	−39.7477			−1.40794			−0.703968	−	0.710232i	$-0.748590\pi$
$797$	−39.7477			−1.40794			−0.703968	+	0.710232i	$0.748590\pi$
$798$	−4.25338	+	17.7595i	−0.150568	+	0.628678i
$799$	−32.7632			−1.15908
$800$	−3.49425	+	2.93202i	−0.123540	+	0.103663i
$801$	40.6361	+	14.7903i	1.43580	+	0.522590i
$802$	4.06687	−	23.0644i	0.143606	−	0.814432i
$803$	−1.46829	−	8.32707i	−0.0518148	−	0.293856i
$804$	−28.4850	+	10.3677i	−1.00459	+	0.365641i
$805$	−1.79386	+	3.10706i	−0.0632252	+	0.109509i
$806$	−0.284883	−	0.493432i	−0.0100346	−	0.0173804i
$807$	−21.2184	−	17.8044i	−0.746924	−	0.626744i
$808$	1.77309	+	1.48780i	0.0623771	+	0.0523406i
$809$	8.08100	+	13.9967i	0.284113	+	0.492098i	0.972394	−	0.233347i	$-0.0749677\pi$
$809$	8.08100	+	13.9967i	0.284113	+	0.492098i	−0.688281	+	0.725444i	$0.741634\pi$
$810$	0.418487	−	0.724840i	0.0147041	−	0.0254683i
$811$	−28.7951	+	10.4805i	−1.01113	+	0.368022i	−0.793867	−	0.608091i	$-0.791936\pi$
$811$	−28.7951	+	10.4805i	−1.01113	+	0.368022i	−0.217264	+	0.976113i	$0.569713\pi$
$812$	−0.492319	−	2.79208i	−0.0172770	−	0.0979828i
$813$	−5.91880	+	33.5672i	−0.207581	+	1.17725i
$814$	−6.13599	−	2.23332i	−0.215066	−	0.0782778i
$815$	7.97329	−	6.69038i	0.279292	−	0.234354i
$816$	13.4271			0.470043
$817$	−4.26787	−	37.2770i	−0.149314	−	1.30416i
$818$	−26.5207			−0.927275
$819$	−19.1065	+	16.0323i	−0.667637	+	0.560214i
$820$	−2.36701	−	0.861522i	−0.0826597	−	0.0300857i
$821$	2.41639	−	13.7040i	0.0843325	−	0.478273i	−0.913166	−	0.407587i	$-0.866370\pi$
$821$	2.41639	−	13.7040i	0.0843325	−	0.478273i	0.997499	−	0.0706857i	$-0.0225187\pi$
$822$	0.899261	+	5.09996i	0.0313653	+	0.177882i
$823$	−47.0377	+	17.1203i	−1.63963	+	0.596777i	−0.986974	−	0.160877i	$-0.948568\pi$
$823$	−47.0377	+	17.1203i	−1.63963	+	0.596777i	−0.652656	+	0.757654i	$0.726345\pi$
$824$	7.81712	−	13.5397i	0.272322	−	0.471676i
$825$	6.46591	+	11.1993i	0.225114	+	0.389909i
$826$	2.09949	+	1.76168i	0.0730505	+	0.0612966i
$827$	−29.3582	−	24.6344i	−1.02088	−	0.856623i	−0.0311454	−	0.999515i	$-0.509916\pi$
$827$	−29.3582	−	24.6344i	−1.02088	−	0.856623i	−0.989738	+	0.142892i	$0.954360\pi$
$828$	−9.23358	−	15.9930i	−0.320889	−	0.555796i
$829$	2.53029	−	4.38260i	0.0878807	−	0.152214i	−0.818734	−	0.574172i	$-0.805324\pi$
$829$	2.53029	−	4.38260i	0.0878807	−	0.152214i	0.906615	+	0.421959i	$0.138657\pi$
$830$	5.55942	−	2.02346i	0.192970	−	0.0702354i
$831$	−12.5636	−	71.2519i	−0.435828	−	2.47170i
$832$	0.581808	−	3.29960i	0.0201706	−	0.114393i
$833$	−21.4346	−	7.80154i	−0.742664	−	0.270307i
$834$	−35.8418	+	30.0748i	−1.24110	+	1.04141i
$835$	−3.35633			−0.116151
$836$	−4.17872	+	1.24028i	−0.144524	+	0.0428961i
$837$	−0.982295			−0.0339531
$838$	−4.18492	+	3.51156i	−0.144565	+	0.121305i
$839$	−3.42623	−	1.24705i	−0.118287	−	0.0430528i	0.282199	−	0.959356i	$-0.408936\pi$
$839$	−3.42623	−	1.24705i	−0.118287	−	0.0430528i	−0.400485	+	0.916303i	$0.631158\pi$
$840$	−0.481795	+	2.73240i	−0.0166235	+	0.0942766i
$841$	−4.39663	−	24.9345i	−0.151608	−	0.859811i
$842$	−12.1209	+	4.41165i	−0.417714	+	0.152036i
$843$	−11.8467	+	20.5191i	−0.408022	+	0.706715i
$844$	−11.8739	−	20.5662i	−0.408717	−	0.707919i
$845$	0.900060	+	0.755240i	0.0309630	+	0.0259810i
$846$	26.6951	+	22.3999i	0.917797	+	0.770124i
$847$	0.738881	+	1.27978i	0.0253883	+	0.0439737i
$848$	−0.766476	+	1.32757i	−0.0263209	+	0.0455891i
$849$	−20.6986	+	7.53368i	−0.710374	+	0.258555i
$850$	3.75139	+	21.2752i	0.128672	+	0.729733i
$851$	−4.15677	+	23.5742i	−0.142492	+	0.808113i
$852$	−40.4596	−	14.7261i	−1.38612	−	0.504508i
$853$	−11.1275	+	9.33704i	−0.380997	+	0.319694i	−0.813094	−	0.582133i	$-0.802218\pi$
$853$	−11.1275	+	9.33704i	−0.380997	+	0.319694i	0.432097	+	0.901827i	$0.357774\pi$
$854$	−9.47913			−0.324369
$855$	−8.01951	+	12.1306i	−0.274262	+	0.414858i
$856$	−7.77478			−0.265737
$857$	−41.9011	+	35.1592i	−1.43131	+	1.20101i	−0.486382	+	0.873746i	$0.661684\pi$
$857$	−41.9011	+	35.1592i	−1.43131	+	1.20101i	−0.944932	+	0.327268i	$0.893872\pi$
$858$	−8.92597	−	3.24879i	−0.304728	−	0.110912i
$859$	−9.59128	+	54.3949i	−0.327250	+	1.85593i	0.166114	+	0.986106i	$0.446878\pi$
$859$	−9.59128	+	54.3949i	−0.327250	+	1.85593i	−0.493365	+	0.869822i	$0.664233\pi$
$860$	−0.989896	−	5.61398i	−0.0337552	−	0.191435i
$861$	14.9740	−	5.45009i	0.510312	−	0.185739i
$862$	−11.3032	+	19.5778i	−0.384989	+	0.666821i
$863$	−27.7766	−	48.1105i	−0.945527	−	1.63770i	−0.754692	−	0.656079i	$-0.772214\pi$
$863$	−27.7766	−	48.1105i	−0.945527	−	1.63770i	−0.190835	−	0.981622i	$-0.561120\pi$
$864$	−4.42496	−	3.71298i	−0.150540	−	0.126318i
$865$	−12.2200	−	10.2538i	−0.415494	−	0.348640i
$866$	0.530979	+	0.919683i	0.0180434	+	0.0312521i
$867$	7.69832	−	13.3339i	0.261449	−	0.452842i
$868$	0.236144	−	0.0859494i	0.00801525	−	0.00291731i
$869$	−1.59834	−	9.06466i	−0.0542201	−	0.307498i
$870$	0.625504	−	3.54741i	0.0212066	−	0.120268i
$871$	33.6641	+	12.2527i	1.14066	+	0.415167i
$872$	−1.30241	+	1.09285i	−0.0441052	+	0.0370086i
$873$	−26.3538			−0.891939
$874$	7.13785	+	14.2967i	0.241442	+	0.483593i
$875$	−9.35738			−0.316337
$876$	−18.3635	+	15.4088i	−0.620445	+	0.520615i
$877$	20.5832	+	7.49167i	0.695045	+	0.252976i	0.665294	−	0.746581i	$-0.268306\pi$
$877$	20.5832	+	7.49167i	0.695045	+	0.252976i	0.0297514	+	0.999557i	$0.490528\pi$
$878$	3.10488	−	17.6086i	0.104785	−	0.594263i
$879$	7.69077	+	43.6165i	0.259403	+	1.47115i
$880$	−0.622320	+	0.226506i	−0.0209784	+	0.00763551i
$881$	19.9207	−	34.5036i	0.671145	−	1.16246i	−0.306435	−	0.951892i	$-0.599136\pi$
$881$	19.9207	−	34.5036i	0.671145	−	1.16246i	0.977580	−	0.210566i	$-0.0675306\pi$
$882$	12.1308	+	21.0112i	0.408466	+	0.707484i
$883$	45.4938	+	38.1739i	1.53099	+	1.28465i	0.789837	+	0.613316i	$0.210165\pi$
$883$	45.4938	+	38.1739i	1.53099	+	1.28465i	0.741152	+	0.671337i	$0.234280\pi$
$884$	−12.1559	−	10.2000i	−0.408846	−	0.343063i
$885$	1.74105	+	3.01559i	0.0585249	+	0.101368i
$886$	−11.0889	+	19.2066i	−0.372540	+	0.645258i
$887$	−4.42108	+	1.60914i	−0.148445	+	0.0540296i	−0.415174	−	0.909742i	$-0.636279\pi$
$887$	−4.42108	+	1.60914i	−0.148445	+	0.0540296i	0.266729	+	0.963772i	$0.414057\pi$
$888$	3.21462	+	18.2310i	0.107876	+	0.611793i
$889$	3.03036	−	17.1860i	0.101635	−	0.576401i
$890$	−5.34226	−	1.94442i	−0.179073	−	0.0651773i
$891$	−0.968140	+	0.812366i	−0.0324339	+	0.0272153i
$892$	1.95845			0.0655737
$893$	−21.8841	−	20.7445i	−0.732324	−	0.694187i
$894$	−1.75443			−0.0586768
$895$	12.3030	−	10.3235i	0.411246	−	0.345076i
$896$	1.38864	+	0.505424i	0.0463913	+	0.0168850i
$897$	−6.04681	+	34.2932i	−0.201897	+	1.14502i
$898$	−4.03284	−	22.8714i	−0.134578	−	0.763228i
$899$	−0.306580	+	0.111586i	−0.0102250	+	0.00372161i
$900$	11.4890	−	19.8996i	0.382968	−	0.663320i
$901$	3.63012	+	6.28755i	0.120937	+	0.209469i
$902$	2.91368	+	2.44486i	0.0970148	+	0.0814051i
$903$	27.6255	+	23.1805i	0.919319	+	0.771400i
$904$	−3.72872	−	6.45834i	−0.124016	−	0.214801i
$905$	−4.82620	+	8.35922i	−0.160428	+	0.277870i
$906$	41.3422	−	15.0473i	1.37350	−	0.499914i
$907$	−0.417320	−	2.36674i	−0.0138569	−	0.0785862i	0.977095	−	0.212803i	$-0.0682593\pi$
$907$	−0.417320	−	2.36674i	−0.0138569	−	0.0785862i	−0.990952	+	0.134217i	$0.957148\pi$
$908$	4.98779	−	28.2872i	0.165526	−	0.938743i
$909$	−10.9566	−	3.98788i	−0.363408	−	0.132270i
$910$	2.51186	−	2.10770i	0.0832674	−	0.0698696i
$911$	−41.4891			−1.37459			−0.687297	−	0.726376i	$-0.741203\pi$
$911$	−41.4891			−1.37459			−0.687297	+	0.726376i	$0.741203\pi$
$912$	8.96861	+	8.50155i	0.296980	+	0.281514i
$913$	−8.93338			−0.295652
$914$	17.9474	−	15.0597i	0.593647	−	0.498129i
$915$	−11.3172	−	4.11911i	−0.374134	−	0.136174i
$916$	−1.57154	+	8.91266i	−0.0519252	+	0.294482i
$917$	−2.84266	−	16.1216i	−0.0938731	−	0.532381i
$918$	−25.7077	+	9.35684i	−0.848481	+	0.308822i
$919$	−3.43935	+	5.95713i	−0.113454	+	0.196508i	−0.917161	−	0.398518i	$-0.869525\pi$
$919$	−3.43935	+	5.95713i	−0.113454	+	0.196508i	0.803707	+	0.595025i	$0.202858\pi$
$920$	1.21390	+	2.10254i	0.0400212	+	0.0693187i
$921$	−20.1381	−	16.8979i	−0.663574	−	0.556805i
$922$	7.54993	+	6.33514i	0.248644	+	0.208637i
$923$	25.4423	+	44.0673i	0.837442	+	1.45049i
$924$	2.09476	−	3.62823i	0.0689126	−	0.119360i
$925$	−27.9888	+	10.1871i	−0.920266	+	0.334950i
$926$	−1.63264	−	9.25914i	−0.0536518	−	0.304274i
$927$	−13.6761	+	77.5608i	−0.449181	+	2.54743i
$928$	−1.80284	−	0.656181i	−0.0591812	−	0.0215402i
$929$	−5.49317	+	4.60931i	−0.180225	+	0.151227i	−0.728437	−	0.685113i	$-0.759753\pi$
$929$	−5.49317	+	4.60931i	−0.180225	+	0.151227i	0.548212	+	0.836339i	$0.315309\pi$
$930$	0.319282			0.0104697
$931$	−9.37751	−	18.7826i	−0.307336	−	0.615575i
$932$	−10.2086			−0.334394
$933$	−58.7972	+	49.3367i	−1.92494	+	1.61521i
$934$	7.75930	+	2.82415i	0.253892	+	0.0924092i
$935$	−0.544654	+	3.08888i	−0.0178121	+	0.101017i
$936$	2.93085	+	16.6217i	0.0957979	+	0.543297i
$937$	13.1061	−	4.77023i	0.428157	−	0.155837i	−0.118948	−	0.992901i	$-0.537952\pi$
$937$	13.1061	−	4.77023i	0.428157	−	0.155837i	0.547105	+	0.837064i	$0.315730\pi$
$938$	−7.90033	+	13.6838i	−0.257955	+	0.446791i
$939$	−8.24667	−	14.2836i	−0.269120	−	0.466129i
$940$	−3.50950	−	2.94482i	−0.114467	−	0.0960495i
$941$	−16.7890	−	14.0876i	−0.547306	−	0.459244i	0.326722	−	0.945121i	$-0.394056\pi$
$941$	−16.7890	−	14.0876i	−0.547306	−	0.459244i	−0.874027	+	0.485877i	$0.838500\pi$
$942$	−14.8807	−	25.7741i	−0.484839	−	0.839766i
$943$	6.97178	−	12.0755i	0.227032	−	0.393232i
$944$	1.74277	−	0.634317i	0.0567224	−	0.0206453i
$945$	−0.981652	−	5.56722i	−0.0319331	−	0.181102i
$946$	−1.49473	+	8.47702i	−0.0485978	+	0.275612i
$947$	−44.7581	−	16.2906i	−1.45444	−	0.529374i	−0.510615	−	0.859809i	$-0.670582\pi$
$947$	−44.7581	−	16.2906i	−1.45444	−	0.529374i	−0.943829	+	0.330435i	$0.892804\pi$
$948$	−19.9901	+	16.7737i	−0.649247	+	0.544783i
$949$	28.3303			0.919639
$950$	−10.9649	+	16.5859i	−0.355749	+	0.538119i
$951$	32.0874			1.04050
$952$	5.36144	−	4.49878i	0.173765	−	0.145806i
$953$	27.2339	+	9.91233i	0.882193	+	0.321092i	0.743094	−	0.669187i	$-0.233357\pi$
$953$	27.2339	+	9.91233i	0.882193	+	0.321092i	0.139098	+	0.990279i	$0.455580\pi$
$954$	1.34095	−	7.60491i	0.0434149	−	0.246218i
$955$	−2.57206	−	14.5869i	−0.0832300	−	0.472021i
$956$	17.7816	−	6.47196i	0.575097	−	0.209318i
$957$	−2.71958	+	4.71045i	−0.0879116	+	0.152267i
$958$	−11.6993	−	20.2638i	−0.377988	−	0.654695i
$959$	2.06782	+	1.73511i	0.0667735	+	0.0560296i
$960$	1.43827	+	1.20686i	0.0464201	+	0.0389511i
$961$	15.4855	+	26.8217i	0.499534	+	0.865218i
$962$	10.9390	−	18.9470i	0.352688	−	0.610874i
$963$	36.8034	−	13.3953i	1.18597	−	0.431659i
$964$	3.29823	+	18.7052i	0.106229	+	0.602454i
$965$	−1.80055	+	10.2114i	−0.0579617	+	0.328717i
$966$	−14.4323	−	5.25294i	−0.464353	−	0.169011i
$967$	29.2284	−	24.5255i	0.939922	−	0.788688i	−0.0376500	−	0.999291i	$-0.511987\pi$
$967$	29.2284	−	24.5255i	0.939922	−	0.788688i	0.977572	+	0.210603i	$0.0675427\pi$
$968$	1.00000			0.0321412
$969$	56.1081	−	16.6534i	1.80245	−	0.534986i
$970$	3.46462			0.111242
$971$	11.3045	−	9.48558i	0.362778	−	0.304407i	−0.443119	−	0.896463i	$-0.646128\pi$
$971$	11.3045	−	9.48558i	0.362778	−	0.304407i	0.805897	+	0.592056i	$0.201684\pi$
$972$	−12.9171	−	4.70145i	−0.414317	−	0.150799i
$973$	−4.23497	+	24.0177i	−0.135767	+	0.769972i
$974$	5.27871	+	29.9371i	0.169141	+	0.959246i
$975$	−40.7151	+	14.8191i	−1.30393	+	0.474590i
$976$	−3.20726	+	5.55513i	−0.102662	+	0.177815i
$977$	−9.68729	−	16.7789i	−0.309924	−	0.536804i	0.668422	−	0.743783i	$-0.266970\pi$
$977$	−9.68729	−	16.7789i	−0.309924	−	0.536804i	−0.978345	+	0.206979i	$0.933637\pi$
$978$	34.1326	+	28.6407i	1.09144	+	0.915828i
$979$	6.57606	+	5.51797i	0.210172	+	0.176355i
$980$	−1.59479	−	2.76226i	−0.0509437	−	0.0882372i
$981$	4.28231	−	7.41717i	0.136724	−	0.236812i
$982$	11.0377	−	4.01740i	0.352227	−	0.128200i
$983$	−6.95537	−	39.4459i	−0.221842	−	1.25813i	−0.868631	−	0.495459i	$-0.835000\pi$
$983$	−6.95537	−	39.4459i	−0.221842	−	1.25813i	0.646789	−	0.762669i	$-0.276111\pi$
$984$	1.87248	−	10.6194i	0.0596925	−	0.338533i
$985$	−0.773716	−	0.281610i	−0.0246526	−	0.00897283i
$986$	−6.96063	+	5.84066i	−0.221672	+	0.186005i
$987$	28.9820			0.922508
$988$	−1.66123	−	14.5097i	−0.0528507	−	0.461615i
$989$	31.5557			1.00341
$990$	2.55562	−	2.14442i	0.0812228	−	0.0681540i
$991$	30.6497	+	11.1556i	0.973621	+	0.354369i	0.779357	−	0.626580i	$-0.215546\pi$
$991$	30.6497	+	11.1556i	0.973621	+	0.354369i	0.194264	+	0.980949i	$0.437768\pi$
$992$	0.0295296	−	0.167471i	0.000937565	−	0.00531719i
$993$	−17.5690	−	99.6386i	−0.557535	−	3.16194i
$994$	−21.0895	+	7.67595i	−0.668918	+	0.243466i
$995$	7.66291	−	13.2725i	0.242931	−	0.420768i
$996$	12.6633	+	21.9334i	0.401251	+	0.694988i
$997$	27.5875	+	23.1487i	0.873705	+	0.733125i	0.964875	−	0.262710i	$-0.0846163\pi$
$997$	27.5875	+	23.1487i	0.873705	+	0.733125i	−0.0911702	+	0.995835i	$0.529061\pi$
$998$	3.79029	+	3.18043i	0.119980	+	0.100675i
$999$	−18.8592	−	32.6652i	−0.596680	−	1.03348i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	418.2.j.d.177.5	yes	30
19.4	even	9		7942.2.a.ca.1.3		15
19.15	odd	18		7942.2.a.by.1.13		15
19.16	even	9	inner	418.2.j.d.111.5	✓	30

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
418.2.j.d.111.5	✓	30	19.16	even	9	inner
418.2.j.d.177.5	yes	30	1.1	even	1	trivial
7942.2.a.by.1.13		15	19.15	odd	18
7942.2.a.ca.1.3		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)

\(f(q)\)	\(=\)	\(q+(0.766044 - 0.642788i) q^{2} +(2.66407 + 0.969643i) q^{3} +(0.173648 - 0.984808i) q^{4} +(-0.115000 - 0.652197i) q^{5} +(2.66407 - 0.969643i) q^{6} +(0.738881 - 1.27978i) q^{7} +(-0.500000 - 0.866025i) q^{8} +(3.85894 + 3.23803i) q^{9} +O(q^{10})\)	\(q+(0.766044 - 0.642788i) q^{2} +(2.66407 + 0.969643i) q^{3} +(0.173648 - 0.984808i) q^{4} +(-0.115000 - 0.652197i) q^{5} +(2.66407 - 0.969643i) q^{6} +(0.738881 - 1.27978i) q^{7} +(-0.500000 - 0.866025i) q^{8} +(3.85894 + 3.23803i) q^{9} +(-0.507320 - 0.425692i) q^{10} +(0.500000 + 0.866025i) q^{11} +(1.41752 - 2.45522i) q^{12} +(-3.14844 + 1.14594i) q^{13} +(-0.256611 - 1.45531i) q^{14} +(0.326030 - 1.84901i) q^{15} +(-0.939693 - 0.342020i) q^{16} +(-3.62808 + 3.04432i) q^{17} +5.03749 q^{18} +(-4.35091 - 0.263720i) q^{19} -0.662259 q^{20} +(3.20936 - 2.69297i) q^{21} +(0.939693 + 0.342020i) q^{22} +(0.636585 - 3.61025i) q^{23} +(-0.492301 - 2.79198i) q^{24} +(4.28633 - 1.56010i) q^{25} +(-1.67525 + 2.90162i) q^{26} +(2.88819 + 5.00248i) q^{27} +(-1.13203 - 0.949887i) q^{28} +(1.46969 + 1.23322i) q^{29} +(-0.938767 - 1.62599i) q^{30} +(-0.0850270 + 0.147271i) q^{31} +(-0.939693 + 0.342020i) q^{32} +(0.492301 + 2.79198i) q^{33} +(-0.822418 + 4.66417i) q^{34} +(-0.919640 - 0.334722i) q^{35} +(3.85894 - 3.23803i) q^{36} -6.52979 q^{37} +(-3.50251 + 2.59469i) q^{38} -9.49882 q^{39} +(-0.507320 + 0.425692i) q^{40} +(3.57415 + 1.30089i) q^{41} +(0.727503 - 4.12588i) q^{42} +(1.49473 + 8.47702i) q^{43} +(0.939693 - 0.342020i) q^{44} +(1.66806 - 2.88916i) q^{45} +(-1.83297 - 3.17480i) q^{46} +(5.29929 + 4.44664i) q^{47} +(-2.17177 - 1.82233i) q^{48} +(2.40811 + 4.17097i) q^{49} +(2.28071 - 3.95030i) q^{50} +(-12.6174 + 4.59234i) q^{51} +(0.581808 + 3.29960i) q^{52} +(0.266194 - 1.50966i) q^{53} +(5.42801 + 1.97564i) q^{54} +(0.507320 - 0.425692i) q^{55} -1.47776 q^{56} +(-11.3354 - 4.92140i) q^{57} +1.91854 q^{58} +(-1.42072 + 1.19213i) q^{59} +(-1.76430 - 0.642154i) q^{60} +(1.11387 - 6.31706i) q^{61} +(0.0295296 + 0.167471i) q^{62} +(6.99527 - 2.54607i) q^{63} +(-0.500000 + 0.866025i) q^{64} +(1.10945 + 1.92162i) q^{65} +(2.17177 + 1.82233i) q^{66} +(-8.19077 - 6.87288i) q^{67} +(2.36806 + 4.10160i) q^{68} +(5.19657 - 9.00072i) q^{69} +(-0.919640 + 0.334722i) q^{70} +(-2.63722 - 14.9564i) q^{71} +(0.874750 - 4.96096i) q^{72} +(-7.94560 - 2.89196i) q^{73} +(-5.00211 + 4.19727i) q^{74} +12.9318 q^{75} +(-1.01524 + 4.23902i) q^{76} +1.47776 q^{77} +(-7.27652 + 6.10573i) q^{78} +(-8.64940 - 3.14812i) q^{79} +(-0.115000 + 0.652197i) q^{80} +(0.219459 + 1.24462i) q^{81} +(3.57415 - 1.30089i) q^{82} +(-4.46669 + 7.73654i) q^{83} +(-2.09476 - 3.62823i) q^{84} +(2.40273 + 2.01613i) q^{85} +(6.59395 + 5.53298i) q^{86} +(2.71958 + 4.71045i) q^{87} +(0.500000 - 0.866025i) q^{88} +(8.06673 - 2.93605i) q^{89} +(-0.579311 - 3.28544i) q^{90} +(-0.859774 + 4.87602i) q^{91} +(-3.44486 - 1.25383i) q^{92} +(-0.369318 + 0.309895i) q^{93} +6.91774 q^{94} +(0.328358 + 2.86798i) q^{95} -2.83505 q^{96} +(-4.00758 + 3.36276i) q^{97} +(4.52577 + 1.64724i) q^{98} +(-0.874750 + 4.96096i) 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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