LMFDB - Embedded newform 32.4.g.a.5.10

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [32,4,Mod(5,32)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(32, base_ring=CyclotomicField(8))

chi = DirichletCharacter(H, H._module([0, 1]))

N = Newforms(chi, 4, names="a")

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

chi := DirichletCharacter("32.5");

S:= CuspForms(chi, 4);

N := Newforms(S);

Level:	$ N $	$=$	$ 32 = 2^{5} $
Weight:	$ k $	$=$	$ 4 $
Character orbit:	$[\chi]$	$=$	32.g (of order $8$, degree $4$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$1.88806112018$
Analytic rank:	$0$
Dimension:	$44$
Relative dimension:	$11$ over $\Q(\zeta_{8})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{8}]$

Embedding invariants

Embedding label			5.10
Character	$\chi$	$=$	32.5
Dual form			32.4.g.a.13.10

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(2.70658 + 0.821250i) q^{2} +(-3.28810 - 7.93817i) q^{3} +(6.65110 + 4.44555i) q^{4} +(11.2895 + 4.67626i) q^{5} +(-2.38026 - 24.1856i) q^{6} +(-11.8490 - 11.8490i) q^{7} +(14.3508 + 17.4944i) q^{8} +(-33.1111 + 33.1111i) q^{9} +O(q^{10})$	\(q+(2.70658 + 0.821250i) q^{2} +(-3.28810 - 7.93817i) q^{3} +(6.65110 + 4.44555i) q^{4} +(11.2895 + 4.67626i) q^{5} +(-2.38026 - 24.1856i) q^{6} +(-11.8490 - 11.8490i) q^{7} +(14.3508 + 17.4944i) q^{8} +(-33.1111 + 33.1111i) q^{9} +(26.7154 + 21.9281i) q^{10} +(-23.5791 + 56.9250i) q^{11} +(13.4201 - 67.4149i) q^{12} +(-13.6580 + 5.65734i) q^{13} +(-22.3392 - 41.8013i) q^{14} -104.994i q^{15} +(24.4742 + 59.1356i) q^{16} -44.1663i q^{17} +(-116.810 + 62.4251i) q^{18} +(66.5184 - 27.5528i) q^{19} +(54.2989 + 81.2902i) q^{20} +(-55.0988 + 133.020i) q^{21} +(-110.568 + 134.707i) q^{22} +(60.0240 - 60.0240i) q^{23} +(91.6870 - 171.442i) q^{24} +(17.1966 + 17.1966i) q^{25} +(-41.6126 + 4.09536i) q^{26} +(157.383 + 65.1901i) q^{27} +(-26.1336 - 131.484i) q^{28} +(-14.3335 - 34.6041i) q^{29} +(86.2261 - 284.174i) q^{30} -174.518 q^{31} +(17.6761 + 180.154i) q^{32} +529.411 q^{33} +(36.2716 - 119.539i) q^{34} +(-78.3602 - 189.178i) q^{35} +(-367.422 + 73.0280i) q^{36} +(-118.428 - 49.0545i) q^{37} +(202.665 - 19.9455i) q^{38} +(89.8179 + 89.8179i) q^{39} +(80.2045 + 264.611i) q^{40} +(15.5284 - 15.5284i) q^{41} +(-258.372 + 314.779i) q^{42} +(-87.3822 + 210.959i) q^{43} +(-409.890 + 273.792i) q^{44} +(-528.642 + 218.971i) q^{45} +(211.754 - 113.165i) q^{46} -228.677i q^{47} +(388.955 - 388.724i) q^{48} -62.2017i q^{49} +(32.4212 + 60.6667i) q^{50} +(-350.600 + 145.223i) q^{51} +(-115.991 - 23.0899i) q^{52} +(258.652 - 624.440i) q^{53} +(372.431 + 305.693i) q^{54} +(-532.392 + 532.392i) q^{55} +(37.2491 - 377.334i) q^{56} +(-437.438 - 437.438i) q^{57} +(-10.3760 - 105.430i) q^{58} +(456.272 + 188.994i) q^{59} +(466.755 - 698.324i) q^{60} +(242.128 + 584.548i) q^{61} +(-472.346 - 143.323i) q^{62} +784.667 q^{63} +(-100.110 + 502.117i) q^{64} -180.647 q^{65} +(1432.89 + 434.779i) q^{66} +(332.601 + 802.971i) q^{67} +(196.344 - 293.754i) q^{68} +(-673.845 - 279.116i) q^{69} +(-56.7251 - 576.378i) q^{70} +(-550.460 - 550.460i) q^{71} +(-1054.43 - 104.089i) q^{72} +(69.2096 - 69.2096i) q^{73} +(-280.248 - 230.029i) q^{74} +(79.9655 - 193.054i) q^{75} +(564.908 + 112.454i) q^{76} +(953.895 - 395.116i) q^{77} +(169.336 + 316.862i) q^{78} -518.934i q^{79} +(-0.232379 + 782.057i) q^{80} -199.379i q^{81} +(54.7814 - 29.2761i) q^{82} +(-595.241 + 246.557i) q^{83} +(-957.815 + 639.786i) q^{84} +(206.533 - 498.615i) q^{85} +(-409.757 + 499.215i) q^{86} +(-227.563 + 227.563i) q^{87} +(-1334.25 + 404.415i) q^{88} +(656.135 + 656.135i) q^{89} +(-1610.64 + 158.513i) q^{90} +(228.868 + 94.8003i) q^{91} +(666.065 - 132.386i) q^{92} +(573.832 + 1385.35i) q^{93} +(187.801 - 618.933i) q^{94} +879.802 q^{95} +(1371.97 - 732.680i) q^{96} -388.503 q^{97} +(51.0831 - 168.353i) q^{98} +(-1104.12 - 2665.58i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 44 q - 4 q^{2} - 4 q^{3} - 4 q^{4} - 4 q^{5} - 4 q^{6} - 4 q^{7} - 4 q^{8} - 4 q^{9}+O(q^{10}) $ 44 * q - 4 * q^2 - 4 * q^3 - 4 * q^4 - 4 * q^5 - 4 * q^6 - 4 * q^7 - 4 * q^8 - 4 * q^9	\( 44 q - 4 q^{2} - 4 q^{3} - 4 q^{4} - 4 q^{5} - 4 q^{6} - 4 q^{7} - 4 q^{8} - 4 q^{9} + 116 q^{10} - 4 q^{11} - 52 q^{12} - 4 q^{13} - 212 q^{14} - 304 q^{16} - 184 q^{18} - 4 q^{19} + 76 q^{20} - 4 q^{21} + 192 q^{22} + 324 q^{23} - 48 q^{24} - 4 q^{25} + 16 q^{26} - 268 q^{27} + 376 q^{28} - 4 q^{29} + 1188 q^{30} - 752 q^{31} + 616 q^{32} - 8 q^{33} + 528 q^{34} - 460 q^{35} + 1456 q^{36} - 4 q^{37} + 980 q^{38} + 596 q^{39} - 536 q^{40} - 4 q^{41} - 2264 q^{42} + 804 q^{43} - 2044 q^{44} + 104 q^{45} - 1444 q^{46} - 2448 q^{48} - 3564 q^{50} - 1384 q^{51} - 2524 q^{52} + 748 q^{53} - 1088 q^{54} - 292 q^{55} + 1192 q^{56} - 4 q^{57} + 3200 q^{58} + 1372 q^{59} + 5752 q^{60} - 1828 q^{61} + 3384 q^{62} + 2512 q^{63} + 4952 q^{64} - 8 q^{65} + 5996 q^{66} + 2036 q^{67} + 2768 q^{68} - 1060 q^{69} + 1400 q^{70} + 220 q^{71} - 1708 q^{72} - 4 q^{73} - 3476 q^{74} - 1712 q^{75} - 5124 q^{76} + 1900 q^{77} - 11916 q^{78} - 10312 q^{80} - 6404 q^{82} + 2436 q^{83} - 6560 q^{84} + 496 q^{85} - 928 q^{86} - 1292 q^{87} + 1248 q^{88} - 4 q^{89} + 7400 q^{90} - 3604 q^{91} + 10152 q^{92} - 112 q^{93} + 12840 q^{94} - 6088 q^{95} + 17792 q^{96} - 8 q^{97} + 11224 q^{98} - 5424 q^{99}+O(q^{100}) \) 44 * q - 4 * q^2 - 4 * q^3 - 4 * q^4 - 4 * q^5 - 4 * q^6 - 4 * q^7 - 4 * q^8 - 4 * q^9 + 116 * q^10 - 4 * q^11 - 52 * q^12 - 4 * q^13 - 212 * q^14 - 304 * q^16 - 184 * q^18 - 4 * q^19 + 76 * q^20 - 4 * q^21 + 192 * q^22 + 324 * q^23 - 48 * q^24 - 4 * q^25 + 16 * q^26 - 268 * q^27 + 376 * q^28 - 4 * q^29 + 1188 * q^30 - 752 * q^31 + 616 * q^32 - 8 * q^33 + 528 * q^34 - 460 * q^35 + 1456 * q^36 - 4 * q^37 + 980 * q^38 + 596 * q^39 - 536 * q^40 - 4 * q^41 - 2264 * q^42 + 804 * q^43 - 2044 * q^44 + 104 * q^45 - 1444 * q^46 - 2448 * q^48 - 3564 * q^50 - 1384 * q^51 - 2524 * q^52 + 748 * q^53 - 1088 * q^54 - 292 * q^55 + 1192 * q^56 - 4 * q^57 + 3200 * q^58 + 1372 * q^59 + 5752 * q^60 - 1828 * q^61 + 3384 * q^62 + 2512 * q^63 + 4952 * q^64 - 8 * q^65 + 5996 * q^66 + 2036 * q^67 + 2768 * q^68 - 1060 * q^69 + 1400 * q^70 + 220 * q^71 - 1708 * q^72 - 4 * q^73 - 3476 * q^74 - 1712 * q^75 - 5124 * q^76 + 1900 * q^77 - 11916 * q^78 - 10312 * q^80 - 6404 * q^82 + 2436 * q^83 - 6560 * q^84 + 496 * q^85 - 928 * q^86 - 1292 * q^87 + 1248 * q^88 - 4 * q^89 + 7400 * q^90 - 3604 * q^91 + 10152 * q^92 - 112 * q^93 + 12840 * q^94 - 6088 * q^95 + 17792 * q^96 - 8 * q^97 + 11224 * q^98 - 5424 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/32\mathbb{Z}\right)^\times$.

$n$	$5$	$31$
$\chi(n)$	$e\left(\frac{1}{8}\right)$	$1$

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 $

$2$	2.70658	+	0.821250i	0.956919	+	0.290356i
$2$	2.70658	+	0.821250i	0.956919	+	0.290356i
$3$	−3.28810	−	7.93817i	−0.632795	−	1.52770i	−0.836095	−	0.548585i	$-0.815167\pi$
$3$	−3.28810	−	7.93817i	−0.632795	−	1.52770i	0.203300	−	0.979116i	$-0.434833\pi$
$4$	6.65110	+	4.44555i	0.831387	+	0.555694i
$5$	11.2895	+	4.67626i	1.00976	+	0.418257i	0.825368	−	0.564595i	$-0.190968\pi$
$5$	11.2895	+	4.67626i	1.00976	+	0.418257i	0.184394	+	0.982852i	$0.440968\pi$
$6$	−2.38026	−	24.1856i	−0.161956	−	1.64562i
$7$	−11.8490	−	11.8490i	−0.639787	−	0.639787i	0.310716	−	0.950503i	$-0.399431\pi$
$7$	−11.8490	−	11.8490i	−0.639787	−	0.639787i	−0.950503	+	0.310716i	$0.899431\pi$
$8$	14.3508	+	17.4944i	0.634221	+	0.773152i
$9$	−33.1111	+	33.1111i	−1.22634	+	1.22634i
$10$	26.7154	+	21.9281i	0.844817	+	0.693428i
$11$	−23.5791	+	56.9250i	−0.646306	+	1.56032i	0.171723	+	0.985145i	$0.445067\pi$
$11$	−23.5791	+	56.9250i	−0.646306	+	1.56032i	−0.818029	+	0.575176i	$0.804933\pi$
$12$	13.4201	−	67.4149i	0.322837	−	1.62175i
$13$	−13.6580	+	5.65734i	−0.291389	+	0.120697i	−0.523590	−	0.851971i	$-0.675407\pi$
$13$	−13.6580	+	5.65734i	−0.291389	+	0.120697i	0.232200	+	0.972668i	$0.425407\pi$
$14$	−22.3392	−	41.8013i	−0.426458	−	0.797990i
$15$		−	104.994i		−	1.80728i
$16$	24.4742	+	59.1356i	0.382409	+	0.923993i
$17$		−	44.1663i		−	0.630112i	−0.949073	−	0.315056i	$-0.897977\pi$
$17$		−	44.1663i		−	0.630112i	0.949073	−	0.315056i	$-0.102023\pi$
$18$	−116.810	+	62.4251i	−1.52958	+	0.817430i
$19$	66.5184	−	27.5528i	0.803177	−	0.332687i	0.0569490	−	0.998377i	$-0.481863\pi$
$19$	66.5184	−	27.5528i	0.803177	−	0.332687i	0.746228	+	0.665690i	$0.231863\pi$
$20$	54.2989	+	81.2902i	0.607080	+	0.908852i
$21$	−55.0988	+	133.020i	−0.572549	+	1.38226i
$22$	−110.568	+	134.707i	−1.07151	+	1.30544i
$23$	60.0240	−	60.0240i	0.544168	−	0.544168i	−0.380580	−	0.924748i	$-0.624276\pi$
$23$	60.0240	−	60.0240i	0.544168	−	0.544168i	0.924748	+	0.380580i	$0.124276\pi$
$24$	91.6870	−	171.442i	0.779813	−	1.45815i
$25$	17.1966	+	17.1966i	0.137573	+	0.137573i
$26$	−41.6126	+	4.09536i	−0.313881	+	0.0308910i
$27$	157.383	+	65.1901i	1.12179	+	0.464661i
$28$	−26.1336	−	131.484i	−0.176385	−	0.887436i
$29$	−14.3335	−	34.6041i	−0.0917813	−	0.221580i	0.871322	−	0.490712i	$-0.163263\pi$
$29$	−14.3335	−	34.6041i	−0.0917813	−	0.221580i	−0.963103	+	0.269132i	$0.913263\pi$
$30$	86.2261	−	284.174i	0.524756	−	1.72942i
$31$	−174.518			−1.01111			−0.505554	−	0.862795i	$-0.668712\pi$
$31$	−174.518			−1.01111			−0.505554	+	0.862795i	$0.668712\pi$
$32$	17.6761	+	180.154i	0.0976475	+	0.995221i
$33$	529.411			2.79268
$34$	36.2716	−	119.539i	0.182957	−	0.602966i
$35$	−78.3602	−	189.178i	−0.378437	−	0.913627i
$36$	−367.422	+	73.0280i	−1.70103	+	0.338092i
$37$	−118.428	−	49.0545i	−0.526201	−	0.217960i	0.103737	−	0.994605i	$-0.466920\pi$
$37$	−118.428	−	49.0545i	−0.526201	−	0.217960i	−0.629938	+	0.776645i	$0.716920\pi$
$38$	202.665	−	19.9455i	0.865173	−	0.0851472i
$39$	89.8179	+	89.8179i	0.368779	+	0.368779i
$40$	80.2045	+	264.611i	0.317036	+	1.04597i
$41$	15.5284	−	15.5284i	0.0591494	−	0.0591494i	−0.676913	−	0.736063i	$-0.736683\pi$
$41$	15.5284	−	15.5284i	0.0591494	−	0.0591494i	0.736063	+	0.676913i	$0.236683\pi$
$42$	−258.372	+	314.779i	−0.949229	+	1.15646i
$43$	−87.3822	+	210.959i	−0.309899	+	0.748163i	0.689809	+	0.723992i	$0.257695\pi$
$43$	−87.3822	+	210.959i	−0.309899	+	0.748163i	−0.999708	+	0.0241712i	$0.992305\pi$
$44$	−409.890	+	273.792i	−1.40439	+	0.938083i
$45$	−528.642	+	218.971i	−1.75123	+	0.725383i
$46$	211.754	−	113.165i	0.678727	−	0.362722i
$47$		−	228.677i		−	0.709703i	−0.934923	−	0.354851i	$-0.884531\pi$
$47$		−	228.677i		−	0.709703i	0.934923	−	0.354851i	$-0.115469\pi$
$48$	388.955	−	388.724i	1.16960	−	1.16890i
$49$		−	62.2017i		−	0.181346i
$50$	32.4212	+	60.6667i	0.0917011	+	0.171591i
$51$	−350.600	+	145.223i	−0.962623	+	0.398731i
$52$	−115.991	−	23.0899i	−0.309328	−	0.0615769i
$53$	258.652	−	624.440i	0.670349	−	1.61837i	−0.110668	−	0.993857i	$-0.535299\pi$
$53$	258.652	−	624.440i	0.670349	−	1.61837i	0.781017	−	0.624509i	$-0.214701\pi$
$54$	372.431	+	305.693i	0.938546	+	0.770361i
$55$	−532.392	+	532.392i	−1.30523	+	1.30523i
$56$	37.2491	−	377.334i	0.0888861	−	0.900418i
$57$	−437.438	−	437.438i	−1.01649	−	1.01649i
$58$	−10.3760	−	105.430i	−0.0234903	−	0.238683i
$59$	456.272	+	188.994i	1.00681	+	0.417033i	0.824289	−	0.566169i	$-0.191575\pi$
$59$	456.272	+	188.994i	1.00681	+	0.417033i	0.182518	+	0.983203i	$0.441575\pi$
$60$	466.755	−	698.324i	1.00430	−	1.50255i
$61$	242.128	+	584.548i	0.508218	+	1.22695i	0.944908	+	0.327335i	$0.106151\pi$
$61$	242.128	+	584.548i	0.508218	+	1.22695i	−0.436690	+	0.899612i	$0.643849\pi$
$62$	−472.346	−	143.323i	−0.967548	−	0.293581i
$63$	784.667			1.56919
$64$	−100.110	+	502.117i	−0.195527	+	0.980698i
$65$	−180.647			−0.344716
$66$	1432.89	+	434.779i	2.67237	+	0.810872i
$67$	332.601	+	802.971i	0.606473	+	1.46416i	0.866810	+	0.498639i	$0.166166\pi$
$67$	332.601	+	802.971i	0.606473	+	1.46416i	−0.260337	+	0.965518i	$0.583834\pi$
$68$	196.344	−	293.754i	0.350149	−	0.523867i
$69$	−673.845	−	279.116i	−1.17567	−	0.486980i
$70$	−56.7251	−	576.378i	−0.0968564	−	0.984149i
$71$	−550.460	−	550.460i	−0.920107	−	0.920107i	0.0769293	−	0.997037i	$-0.475488\pi$
$71$	−550.460	−	550.460i	−0.920107	−	0.920107i	−0.997037	+	0.0769293i	$0.975488\pi$
$72$	−1054.43	−	104.089i	−1.72591	−	0.170376i
$73$	69.2096	−	69.2096i	0.110964	−	0.110964i	−0.649445	−	0.760409i	$-0.724999\pi$
$73$	69.2096	−	69.2096i	0.110964	−	0.110964i	0.760409	+	0.649445i	$0.224999\pi$
$74$	−280.248	−	230.029i	−0.440246	−	0.361355i
$75$	79.9655	−	193.054i	0.123115	−	0.297226i
$76$	564.908	+	112.454i	0.852623	+	0.169729i
$77$	953.895	−	395.116i	1.41177	−	0.584775i
$78$	169.336	+	316.862i	0.245814	+	0.459968i
$79$		−	518.934i		−	0.739046i	−0.929222	−	0.369523i	$-0.879521\pi$
$79$		−	518.934i		−	0.739046i	0.929222	−	0.369523i	$-0.120479\pi$
$80$	−0.232379	+	782.057i	−0.000324759	+	1.09296i
$81$		−	199.379i		−	0.273496i
$82$	54.7814	−	29.2761i	0.0737756	−	0.0394268i
$83$	−595.241	+	246.557i	−0.787183	+	0.326062i	−0.739810	−	0.672815i	$-0.765085\pi$
$83$	−595.241	+	246.557i	−0.787183	+	0.326062i	−0.0473726	+	0.998877i	$0.515085\pi$
$84$	−957.815	+	639.786i	−1.24412	+	0.831028i
$85$	206.533	−	498.615i	0.263549	−	0.636263i
$86$	−409.757	+	499.215i	−0.513782	+	0.625950i
$87$	−227.563	+	227.563i	−0.280429	+	0.280429i
$88$	−1334.25	+	404.415i	−1.61627	+	0.489896i
$89$	656.135	+	656.135i	0.781462	+	0.781462i	0.980078	−	0.198615i	$-0.0636445\pi$
$89$	656.135	+	656.135i	0.781462	+	0.781462i	−0.198615	+	0.980078i	$0.563644\pi$
$90$	−1610.64	+	158.513i	−1.88640	+	0.185653i
$91$	228.868	+	94.8003i	0.263647	+	0.109206i
$92$	666.065	−	132.386i	0.754805	−	0.150024i
$93$	573.832	+	1385.35i	0.639823	+	1.54467i
$94$	187.801	−	618.933i	0.206066	−	0.679128i
$95$	879.802			0.950166
$96$	1371.97	−	732.680i	1.45861	−	0.778947i
$97$	−388.503			−0.406665			−0.203333	−	0.979110i	$-0.565177\pi$
$97$	−388.503			−0.406665			−0.203333	+	0.979110i	$0.565177\pi$
$98$	51.0831	−	168.353i	0.0526548	−	0.173533i
$99$	−1104.12	−	2665.58i	−1.12089	−	2.70607i
$100$	37.9280	+	190.825i	0.0379280	+	0.190825i
$101$	658.558	+	272.784i	0.648802	+	0.268742i	0.682718	−	0.730682i	$-0.260798\pi$
$101$	658.558	+	272.784i	0.648802	+	0.268742i	−0.0339161	+	0.999425i	$0.510798\pi$
$102$	−1068.19	+	105.127i	−1.03693	+	0.102051i
$103$	467.607	+	467.607i	0.447327	+	0.447327i	0.894465	−	0.447138i	$-0.147557\pi$
$103$	467.607	+	467.607i	0.447327	+	0.447327i	−0.447138	+	0.894465i	$0.647557\pi$
$104$	−294.976	−	157.752i	−0.278122	−	0.148739i
$105$	−1244.07	+	1244.07i	−1.15628	+	1.15628i
$106$	1212.88	−	1477.68i	1.11137	−	1.35401i
$107$	237.456	−	573.269i	0.214539	−	0.517944i	−0.779571	−	0.626314i	$-0.784563\pi$
$107$	237.456	−	573.269i	0.214539	−	0.517944i	0.994111	+	0.108369i	$0.0345630\pi$
$108$	756.963	+	1133.24i	0.674433	+	1.00969i
$109$	−117.568	+	48.6982i	−0.103311	+	0.0427930i	−0.433741	−	0.901038i	$-0.642807\pi$
$109$	−117.568	+	48.6982i	−0.103311	+	0.0427930i	0.330429	+	0.943831i	$0.392807\pi$
$110$	−1878.19	+	1003.73i	−1.62798	+	0.870019i
$111$			1101.40i			0.941802i
$112$	410.703	−	990.693i	0.346498	−	0.835819i
$113$			1440.10i			1.19887i	0.800422	+	0.599437i	$0.204609\pi$
$113$			1440.10i			1.19887i	−0.800422	+	0.599437i	$0.795391\pi$
$114$	−824.712	−	1543.20i	−0.677556	−	1.26784i
$115$	958.327	−	396.952i	0.777083	−	0.321878i
$116$	58.5008	−	293.875i	0.0468247	−	0.235221i
$117$	264.911	−	639.553i	0.209325	−	0.505356i
$118$	1079.72	+	886.241i	0.842344	+	0.691399i
$119$	−523.327	+	523.327i	−0.403137	+	0.403137i
$120$	1836.81	−	1506.74i	1.39731	−	1.14622i
$121$	−1743.32	−	1743.32i	−1.30978	−	1.30978i
$122$	175.277	+	1780.97i	0.130072	+	1.32165i
$123$	−174.326	−	72.2081i	−0.127792	−	0.0529332i
$124$	−1160.74	−	775.828i	−0.840622	−	0.561866i
$125$	−470.807	−	1136.63i	−0.336882	−	0.813305i
$126$	2123.76	+	644.408i	1.50158	+	0.455622i
$127$	340.683			0.238037			0.119019	−	0.992892i	$-0.462025\pi$
$127$	340.683			0.238037			0.119019	+	0.992892i	$0.462025\pi$
$128$	−683.319	+	1276.80i	−0.471855	+	0.881676i
$129$	1961.95			1.33907
$130$	−488.935	−	148.357i	−0.329865	−	0.100090i
$131$	−460.465	−	1111.66i	−0.307107	−	0.741421i	−0.999796	−	0.0201855i	$-0.993574\pi$
$131$	−460.465	−	1111.66i	−0.307107	−	0.741421i	0.692689	−	0.721236i	$-0.256426\pi$
$132$	3521.16	+	2353.52i	2.32180	+	1.55188i
$133$	−1114.65	−	461.704i	−0.726711	−	0.301013i
$134$	240.771	+	2446.45i	0.155220	+	1.57717i
$135$	1471.93	+	1471.93i	0.938394	+	0.938394i
$136$	772.664	−	633.821i	0.487172	−	0.399630i
$137$	−109.800	+	109.800i	−0.0684732	+	0.0684732i	−0.740514	−	0.672041i	$-0.765418\pi$
$137$	−109.800	+	109.800i	−0.0684732	+	0.0684732i	0.672041	+	0.740514i	$0.265418\pi$
$138$	−1594.59	−	1308.84i	−0.983627	−	0.807364i
$139$	199.529	−	481.706i	0.121754	−	0.293941i	−0.851238	−	0.524781i	$-0.824147\pi$
$139$	199.529	−	481.706i	0.121754	−	0.293941i	0.972992	+	0.230840i	$0.0741474\pi$
$140$	319.820	−	1606.60i	0.193070	−	0.969873i
$141$	−1815.28	+	751.914i	−1.08421	+	0.449096i
$142$	−1037.80	−	1941.93i	−0.613309	−	1.14763i
$143$		−	910.879i		−	0.532668i
$144$	−2768.41	−	1147.68i	−1.60209	−	0.664164i
$145$		−	457.689i		−	0.262131i
$146$	244.160	−	130.483i	0.138403	−	0.0739645i
$147$	−493.767	+	204.525i	−0.277042	+	0.114755i
$148$	−569.602	−	852.744i	−0.316358	−	0.473615i
$149$	−917.500	+	2215.04i	−0.504460	+	1.21787i	0.442572	+	0.896733i	$0.354066\pi$
$149$	−917.500	+	2215.04i	−0.504460	+	1.21787i	−0.947031	+	0.321141i	$0.895934\pi$
$150$	374.978	−	456.843i	0.204112	−	0.248674i
$151$	191.904	−	191.904i	0.103423	−	0.103423i	−0.653502	−	0.756925i	$-0.726701\pi$
$151$	191.904	−	191.904i	0.103423	−	0.103423i	0.756925	+	0.653502i	$0.226701\pi$
$152$	1436.61	+	768.297i	0.766609	+	0.409981i
$153$	1462.39	+	1462.39i	0.772729	+	0.772729i
$154$	2906.28	−	286.025i	1.52074	−	0.149666i
$155$	−1970.22	−	816.090i	−1.02098	−	0.422903i
$156$	198.098	+	996.677i	0.101670	+	0.511526i
$157$	−572.497	−	1382.13i	−0.291021	−	0.702586i	0.708976	−	0.705233i	$-0.249158\pi$
$157$	−572.497	−	1382.13i	−0.291021	−	0.702586i	−0.999996	+	0.00264665i	$0.999158\pi$
$158$	426.175	−	1404.53i	0.214586	−	0.707207i
$159$	−5807.38			−2.89657
$160$	−642.894	+	2116.51i	−0.317657	+	1.04578i
$161$	−1422.45			−0.696303
$162$	163.740	−	539.634i	0.0794112	−	0.261714i
$163$	1331.47	+	3214.44i	0.639807	+	1.54463i	0.826937	+	0.562295i	$0.190081\pi$
$163$	1331.47	+	3214.44i	0.639807	+	1.54463i	−0.187130	+	0.982335i	$0.559919\pi$
$164$	172.313	−	34.2486i	0.0820451	−	0.0163071i
$165$	5976.77	+	2475.66i	2.81995	+	1.16806i
$166$	−1813.55	+	178.483i	−0.847944	+	0.0834516i
$167$	214.549	+	214.549i	0.0994149	+	0.0994149i	0.755065	−	0.655650i	$-0.227605\pi$
$167$	214.549	+	214.549i	0.0994149	+	0.0994149i	−0.655650	+	0.755065i	$0.727605\pi$
$168$	−3117.82	+	945.022i	−1.43182	+	0.433988i
$169$	−1398.98	+	1398.98i	−0.636767	+	0.636767i
$170$	968.484	−	1179.92i	0.436937	−	0.532329i
$171$	−1290.19	+	3114.80i	−0.576979	+	1.39295i
$172$	−1519.02	+	1014.65i	−0.673396	+	0.449804i
$173$	3387.83	−	1403.29i	1.48886	−	0.616705i	0.517789	−	0.855509i	$-0.326755\pi$
$173$	3387.83	−	1403.29i	1.48886	−	0.616705i	0.971068	+	0.238804i	$0.0767553\pi$
$174$	−802.802	+	429.030i	−0.349772	+	0.186924i
$175$		−	407.526i		−	0.176035i
$176$	−3943.37	−	1.17172i	−1.68888	−	0.000501830i
$177$		−	4243.40i		−	1.80200i
$178$	1237.03	+	2314.73i	0.520894	+	0.974698i
$179$	1642.06	−	680.162i	0.685659	−	0.284009i	−0.0125313	−	0.999921i	$-0.503989\pi$
$179$	1642.06	−	680.162i	0.685659	−	0.284009i	0.698190	+	0.715912i	$0.253989\pi$
$180$	−4489.50	−	893.710i	−1.85904	−	0.370073i
$181$	1072.59	−	2589.47i	0.440471	−	1.06339i	−0.535313	−	0.844653i	$-0.679807\pi$
$181$	1072.59	−	2589.47i	0.440471	−	1.06339i	0.975784	−	0.218736i	$-0.0701935\pi$
$182$	541.594	+	444.542i	0.220580	+	0.181053i
$183$	3844.10	−	3844.10i	1.55281	−	1.55281i
$184$	1911.48	+	188.694i	0.765848	+	0.0756017i
$185$	−1107.60	−	1107.60i	−0.440175	−	0.440175i
$186$	415.398	+	4220.82i	0.163755	+	1.66390i
$187$	2514.17	+	1041.40i	0.983177	+	0.407245i
$188$	1016.60	−	1520.96i	0.394377	−	0.590038i
$189$	−1092.39	−	2637.27i	−0.420423	−	1.01499i
$190$	2381.25	+	722.538i	0.909232	+	0.275886i
$191$	3774.95			1.43008			0.715042	−	0.699082i	$-0.246408\pi$
$191$	3774.95			1.43008			0.715042	+	0.699082i	$0.246408\pi$
$192$	4315.06	−	856.321i	1.62194	−	0.321873i
$193$	−1118.54			−0.417172			−0.208586	−	0.978004i	$-0.566886\pi$
$193$	−1118.54			−0.417172			−0.208586	+	0.978004i	$0.566886\pi$
$194$	−1051.51	−	319.058i	−0.389146	−	0.118078i
$195$	593.986	+	1434.01i	0.218134	+	0.526623i
$196$	276.521	−	413.709i	0.100773	−	0.150769i
$197$	−4025.41	−	1667.38i	−1.45583	−	0.603024i	−0.492252	−	0.870453i	$-0.663826\pi$
$197$	−4025.41	−	1667.38i	−1.45583	−	0.603024i	−0.963578	+	0.267429i	$0.913826\pi$
$198$	−799.273	−	8121.34i	−0.286878	−	2.91494i
$199$	−776.416	−	776.416i	−0.276576	−	0.276576i	0.555165	−	0.831741i	$-0.312655\pi$
$199$	−776.416	−	776.416i	−0.276576	−	0.276576i	−0.831741	+	0.555165i	$0.812655\pi$
$200$	−54.0601	+	547.630i	−0.0191131	+	0.193617i
$201$	5280.49	−	5280.49i	1.85302	−	1.85302i
$202$	1558.41	+	1279.15i	0.542820	+	0.445548i
$203$	−240.186	+	579.861i	−0.0830433	+	0.200484i
$204$	−2977.47	−	592.715i	−1.02188	−	0.203423i
$205$	247.922	−	102.693i	0.0844665	−	0.0349872i
$206$	881.592	+	1649.64i	0.298172	+	0.557940i
$207$			3974.92i			1.33467i
$208$	−668.819	−	669.217i	−0.222953	−	0.223086i
$209$			4436.23i			1.46823i
$210$	−4388.87	+	2345.48i	−1.44219	+	0.770731i
$211$	−1455.68	+	602.962i	−0.474944	+	0.196728i	−0.607298	−	0.794474i	$-0.707746\pi$
$211$	−1455.68	+	602.962i	−0.474944	+	0.196728i	0.132354	+	0.991203i	$0.457746\pi$
$212$	4496.30	−	3003.36i	1.45664	−	0.972980i
$213$	−2559.68	+	6179.61i	−0.823410	+	1.98789i
$214$	1113.49	−	1356.59i	0.355685	−	0.433338i
$215$	−1973.00	+	1973.00i	−0.625849	+	0.625849i
$216$	1118.10	+	3688.85i	0.352210	+	1.16201i
$217$	2067.86	+	2067.86i	0.646893	+	0.646893i
$218$	−358.199	+	35.2527i	−0.111286	+	0.0109524i
$219$	−776.966	−	321.830i	−0.239737	−	0.0993025i
$220$	−5907.76	+	1174.21i	−1.81046	+	0.359843i
$221$	249.864	+	603.225i	0.0760528	+	0.183608i
$222$	−904.522	+	2981.01i	−0.273458	+	0.901228i
$223$	1454.48			0.436768			0.218384	−	0.975863i	$-0.429921\pi$
$223$	1454.48			0.436768			0.218384	+	0.975863i	$0.429921\pi$
$224$	1925.21	−	2344.09i	0.574256	−	0.699203i
$225$	−1138.80			−0.337421
$226$	−1182.68	+	3897.73i	−0.348100	+	1.14723i
$227$	1309.75	+	3162.03i	0.382958	+	0.924542i	0.991391	+	0.130937i	$0.0417985\pi$
$227$	1309.75	+	3162.03i	0.382958	+	0.924542i	−0.608433	+	0.793605i	$0.708202\pi$
$228$	−964.790	−	4854.09i	−0.280240	−	1.40996i
$229$	−5746.77	−	2380.39i	−1.65833	−	0.686903i	−0.660381	−	0.750930i	$-0.729605\pi$
$229$	−5746.77	−	2380.39i	−1.65833	−	0.686903i	−0.997948	+	0.0640278i	$0.979605\pi$
$230$	2919.78	−	287.354i	0.837064	−	0.0823808i
$231$	−6273.00	−	6273.00i	−1.78672	−	1.78672i
$232$	399.682	−	747.351i	0.113105	−	0.211491i
$233$	1497.10	−	1497.10i	0.420938	−	0.420938i	−0.464589	−	0.885526i	$-0.653798\pi$
$233$	1497.10	−	1497.10i	0.420938	−	0.420938i	0.885526	+	0.464589i	$0.153798\pi$
$234$	1242.24	−	1513.44i	0.347040	−	0.422806i
$235$	1069.35	−	2581.65i	0.296838	−	0.716631i
$236$	2194.53	+	3285.40i	0.605304	+	0.906192i
$237$	−4119.39	+	1706.31i	−1.12904	+	0.467665i
$238$	−1846.21	+	986.642i	−0.502823	+	0.268716i
$239$		−	1039.75i		−	0.281404i	−0.990052	−	0.140702i	$-0.955064\pi$
$239$		−	1039.75i		−	0.281404i	0.990052	−	0.140702i	$-0.0449360\pi$
$240$	6208.87	−	2569.64i	1.66992	−	0.691122i
$241$			120.503i			0.0322087i	0.999870	+	0.0161043i	$0.00512639\pi$
$241$			120.503i			0.0322087i	−0.999870	+	0.0161043i	$0.994874\pi$
$242$	−3286.73	−	6150.14i	−0.873054	−	1.63366i
$243$	2666.64	−	1104.56i	0.703970	−	0.291594i
$244$	−988.223	+	4964.28i	−0.259281	+	1.30248i
$245$	290.871	−	702.224i	0.0758492	−	0.183116i
$246$	−412.525	−	338.602i	−0.106917	−	0.0877580i
$247$	−752.635	+	752.635i	−0.193883	+	0.193883i
$248$	−2504.47	−	3053.09i	−0.641266	−	0.781740i
$249$	3914.42	+	3914.42i	0.996250	+	0.996250i
$250$	−340.818	−	3463.02i	−0.0862209	−	0.876082i
$251$	−5865.74	−	2429.67i	−1.47507	−	0.610994i	−0.507061	−	0.861910i	$-0.669268\pi$
$251$	−5865.74	−	2429.67i	−1.47507	−	0.610994i	−0.968009	+	0.250916i	$0.919268\pi$
$252$	5218.89	+	3488.28i	1.30460	+	0.871987i
$253$	2001.55	+	4832.18i	0.497378	+	1.20078i
$254$	922.085	+	279.786i	0.227782	+	0.0691155i
$255$	−4637.19			−1.13879
$256$	−2898.03	+	2894.59i	−0.707527	+	0.706686i
$257$	−4520.96			−1.09731			−0.548657	−	0.836048i	$-0.684861\pi$
$257$	−4520.96			−1.09731			−0.548657	+	0.836048i	$0.684861\pi$
$258$	5310.17	+	1611.25i	1.28138	+	0.388807i
$259$	822.008	+	1984.50i	0.197209	+	0.476104i
$260$	−1201.50	−	803.077i	−0.286592	−	0.191557i
$261$	1620.37	+	671.180i	0.384286	+	0.159176i
$262$	−333.331	−	3386.95i	−0.0786003	−	0.798650i
$263$	449.651	+	449.651i	0.105425	+	0.105425i	0.757852	−	0.652427i	$-0.226249\pi$
$263$	449.651	+	449.651i	0.105425	+	0.105425i	−0.652427	+	0.757852i	$0.726249\pi$
$264$	7597.46	+	9261.74i	1.77118	+	2.15917i
$265$	5840.08	−	5840.08i	1.35379	−	1.35379i
$266$	−2637.71	−	2165.04i	−0.608002	−	0.499050i
$267$	3051.07	−	7365.94i	0.699336	−	1.68835i
$268$	−1357.48	+	6819.23i	−0.309408	+	1.55429i
$269$	−2436.90	+	1009.40i	−0.552343	+	0.228788i	−0.641357	−	0.767243i	$-0.721628\pi$
$269$	−2436.90	+	1009.40i	−0.552343	+	0.228788i	0.0890145	+	0.996030i	$0.471628\pi$
$270$	2775.06	+	5192.70i	0.625499	+	1.17043i
$271$			1662.12i			0.372570i	0.982496	+	0.186285i	$0.0596448\pi$
$271$			1662.12i			0.372570i	−0.982496	+	0.186285i	$0.940355\pi$
$272$	2611.80	−	1080.93i	0.582219	−	0.240960i
$273$		−	2128.51i		−	0.471880i
$274$	−387.354	+	207.008i	−0.0854049	+	0.0456417i
$275$	−1384.40	+	573.437i	−0.303572	+	0.125744i
$276$	−3240.99	−	4852.04i	−0.706828	−	1.05818i
$277$	−2447.54	+	5908.88i	−0.530897	+	1.28170i	0.400033	+	0.916501i	$0.368999\pi$
$277$	−2447.54	+	5908.88i	−0.530897	+	1.28170i	−0.930930	+	0.365198i	$0.881001\pi$
$278$	935.642	−	1139.91i	0.201856	−	0.245925i
$279$	5778.47	−	5778.47i	1.23996	−	1.23996i
$280$	2185.04	−	4085.72i	0.466360	−	0.872031i
$281$	3546.76	+	3546.76i	0.752960	+	0.752960i	0.975031	−	0.222070i	$-0.0712814\pi$
$281$	3546.76	+	3546.76i	0.752960	+	0.752960i	−0.222070	+	0.975031i	$0.571281\pi$
$282$	−5530.70	+	544.312i	−1.16790	+	0.114941i
$283$	−2136.81	−	885.094i	−0.448834	−	0.185913i	0.146805	−	0.989165i	$-0.453101\pi$
$283$	−2136.81	−	885.094i	−0.448834	−	0.185913i	−0.595639	+	0.803252i	$0.703101\pi$
$284$	−1214.07	−	6108.26i	−0.253667	−	1.27626i
$285$	−2892.87	−	6984.02i	−0.601260	−	1.45157i
$286$	748.060	−	2465.36i	0.154663	−	0.509720i
$287$	−367.992			−0.0756860
$288$	−6550.37	−	5379.82i	−1.34022	−	1.10073i
$289$	2962.34			0.602959
$290$	375.877	−	1238.77i	0.0761112	−	0.250838i
$291$	1277.44	+	3084.00i	0.257336	+	0.621263i
$292$	767.995	−	152.645i	0.153916	−	0.0305920i
$293$	7533.04	+	3120.29i	1.50200	+	0.622147i	0.973888	−	0.227029i	$-0.0729014\pi$
$293$	7533.04	+	3120.29i	1.50200	+	0.622147i	0.528109	+	0.849177i	$0.322901\pi$
$294$	−1504.38	+	148.056i	−0.298427	+	0.0293701i
$295$	4267.29	+	4267.29i	0.842208	+	0.842208i
$296$	−841.354	−	2775.80i	−0.165212	−	0.545068i
$297$	−7421.90	+	7421.90i	−1.45004	+	1.45004i
$298$	−4302.39	+	5241.68i	−0.836344	+	1.01893i
$299$	−480.234	+	1159.39i	−0.0928851	+	0.224244i
$300$	1390.09	−	928.529i	0.267523	−	0.178696i
$301$	3535.05	−	1464.27i	0.676934	−	0.280395i
$302$	677.003	−	361.801i	0.128997	−	0.0689381i
$303$		−	6124.68i		−	1.16123i
$304$	3257.33	+	3259.27i	0.614543	+	0.614908i
$305$			7731.50i			1.45149i
$306$	2757.09	+	5159.07i	0.515072	+	0.963805i
$307$	−3320.22	+	1375.28i	−0.617247	+	0.255672i	−0.669324	−	0.742971i	$-0.733416\pi$
$307$	−3320.22	+	1375.28i	−0.617247	+	0.255672i	0.0520765	+	0.998643i	$0.483416\pi$
$308$	8100.95	+	1612.63i	1.49868	+	0.298338i
$309$	2174.41	−	5249.49i	0.400316	−	0.966449i
$310$	−4662.32	−	3826.85i	−0.854200	−	0.701130i
$311$	2136.23	−	2136.23i	0.389499	−	0.389499i	−0.485010	−	0.874509i	$-0.661184\pi$
$311$	2136.23	−	2136.23i	0.389499	−	0.389499i	0.874509	+	0.485010i	$0.161184\pi$
$312$	−282.356	+	2860.27i	−0.0512347	+	0.519009i
$313$	−7352.03	−	7352.03i	−1.32767	−	1.32767i	−0.907397	−	0.420274i	$-0.861934\pi$
$313$	−7352.03	−	7352.03i	−1.32767	−	1.32767i	−0.420274	−	0.907397i	$-0.638066\pi$
$314$	−414.432	−	4211.00i	−0.0744832	−	0.756817i
$315$	8858.48	+	3669.30i	1.58450	+	0.656323i
$316$	2306.95	−	3451.48i	0.410683	−	0.614434i
$317$	321.560	+	776.314i	0.0569735	+	0.137546i	0.949803	−	0.312849i	$-0.101283\pi$
$317$	321.560	+	776.314i	0.0569735	+	0.137546i	−0.892829	+	0.450395i	$0.851283\pi$
$318$	−15718.1	−	4769.31i	−2.77179	−	0.841037i
$319$	2307.81			0.405054
$320$	−3478.22	+	5200.50i	−0.607620	+	0.908491i
$321$	−5331.49			−0.927023
$322$	−3849.97	−	1168.19i	−0.666306	−	0.202176i
$323$	−1216.91	−	2937.87i	−0.209630	−	0.506092i
$324$	886.349	−	1326.09i	0.151980	−	0.227381i
$325$	−332.159	−	137.585i	−0.0566920	−	0.0234826i
$326$	963.851	+	9793.60i	0.163751	+	1.66386i
$327$	773.148	+	773.148i	0.130750	+	0.130750i
$328$	494.505	+	48.8157i	0.0832453	+	0.00821768i
$329$	−2709.60	+	2709.60i	−0.454058	+	0.454058i
$330$	14143.4	+	11609.0i	2.35931	+	1.93653i
$331$	−383.476	+	925.792i	−0.0636789	+	0.153735i	−0.952516	−	0.304489i	$-0.901514\pi$
$331$	−383.476	+	925.792i	−0.0636789	+	0.153735i	0.888837	+	0.458224i	$0.151514\pi$
$332$	−5055.09	−	1006.30i	−0.835644	−	0.166349i
$333$	5545.52	−	2297.03i	0.912590	−	0.378007i
$334$	404.494	+	756.891i	0.0662663	+	0.123998i
$335$			10620.4i			1.73211i
$336$	−9214.72	−	2.73804i	−1.49614	−	0.000444560i
$337$		−	6360.72i		−	1.02816i	−0.857742	−	0.514081i	$-0.828133\pi$
$337$		−	6360.72i		−	1.02816i	0.857742	−	0.514081i	$-0.171867\pi$
$338$	−4935.35	+	2637.53i	−0.794223	+	0.424445i
$339$	11431.7	−	4735.17i	1.83152	−	0.758641i
$340$	3590.29	−	2398.18i	0.572678	−	0.382528i
$341$	4114.98	−	9934.43i	0.653485	−	1.57765i
$342$	−6050.03	+	7370.86i	−0.956573	+	1.16541i
$343$	−4801.24	+	4801.24i	−0.755809	+	0.755809i
$344$	−4944.62	+	1498.73i	−0.774988	+	0.234901i
$345$	−6302.15	−	6302.15i	−0.983467	−	0.983467i
$346$	10321.9	−	1015.84i	1.60378	−	0.157838i
$347$	−10094.1	−	4181.11i	−1.56161	−	0.646840i	−0.576242	−	0.817279i	$-0.695482\pi$
$347$	−10094.1	−	4181.11i	−1.56161	−	0.646840i	−0.985368	+	0.170438i	$0.945482\pi$
$348$	−2525.19	+	501.901i	−0.388978	+	0.0773124i
$349$	697.242	+	1683.29i	0.106941	+	0.258179i	0.968287	−	0.249840i	$-0.0803780\pi$
$349$	697.242	+	1683.29i	0.106941	+	0.258179i	−0.861346	+	0.508019i	$0.830378\pi$
$350$	334.681	−	1103.00i	0.0511127	−	0.168451i
$351$	−2518.34			−0.382961
$352$	−10672.1	−	3241.67i	−1.61598	−	0.490856i
$353$	3236.30			0.487963			0.243982	−	0.969780i	$-0.421546\pi$
$353$	3236.30			0.487963			0.243982	+	0.969780i	$0.421546\pi$
$354$	3484.89	−	11485.1i	0.523220	−	1.72436i
$355$	−3640.32	−	8788.50i	−0.544248	−	1.31393i
$356$	1447.14	+	7280.89i	0.215444	+	1.08395i
$357$	5875.01	+	2433.51i	0.870976	+	0.360770i
$358$	5002.93	−	492.370i	0.738584	−	0.0726888i
$359$	5424.53	+	5424.53i	0.797482	+	0.797482i	0.982698	−	0.185216i	$-0.0592985\pi$
$359$	5424.53	+	5424.53i	0.797482	+	0.797482i	−0.185216	+	0.982698i	$0.559299\pi$
$360$	−11417.2	−	6105.89i	−1.67150	−	0.893913i
$361$	−1184.51	+	1184.51i	−0.172694	+	0.172694i
$362$	5029.65	−	6127.72i	0.730256	−	0.889685i
$363$	−8106.58	+	19571.0i	−1.17214	+	2.82978i
$364$	1100.79	+	1647.97i	0.158508	+	0.237300i
$365$	1104.98	−	457.699i	0.158459	−	0.0656358i
$366$	13561.3	−	7247.39i	1.93678	−	1.03505i
$367$		−	10914.3i		−	1.55237i	−0.630503	−	0.776187i	$-0.717151\pi$
$367$		−	10914.3i		−	1.55237i	0.630503	−	0.776187i	$-0.282849\pi$
$368$	5018.59	+	2080.52i	0.710903	+	0.294713i
$369$			1028.32i			0.145074i
$370$	−2088.18	−	3907.42i	−0.293404	−	0.549019i
$371$	−10463.8	+	4334.23i	−1.46429	+	0.606529i
$372$	−2342.04	+	11765.1i	−0.326423	+	1.63976i
$373$	−3921.61	+	9467.61i	−0.544379	+	1.31425i	0.377227	+	0.926121i	$0.376878\pi$
$373$	−3921.61	+	9467.61i	−0.544379	+	1.31425i	−0.921606	+	0.388127i	$0.873122\pi$
$374$	5949.53	+	4883.39i	0.822575	+	0.675172i
$375$	−7474.69	+	7474.69i	−1.02931	+	1.02931i
$376$	4000.58	−	3281.70i	0.548708	−	0.450108i
$377$	391.534	+	391.534i	0.0534881	+	0.0534881i
$378$	−790.786	−	8035.10i	−0.107602	−	1.09334i
$379$	10042.4	+	4159.68i	1.36106	+	0.563769i	0.939349	−	0.342962i	$-0.111430\pi$
$379$	10042.4	+	4159.68i	1.36106	+	0.563769i	0.421710	+	0.906731i	$0.361430\pi$
$380$	5851.65	+	3911.20i	0.789956	+	0.528001i
$381$	−1120.20	−	2704.40i	−0.150629	−	0.363650i
$382$	10217.2	+	3100.18i	1.36847	+	0.415233i
$383$	1609.29			0.214702			0.107351	−	0.994221i	$-0.465763\pi$
$383$	1609.29			0.214702			0.107351	+	0.994221i	$0.465763\pi$
$384$	12382.3	+	1226.05i	1.64552	+	0.162934i
$385$	12616.6			1.67014
$386$	−3027.41	−	918.601i	−0.399200	−	0.121128i
$387$	−4091.77	−	9878.41i	−0.537458	−	1.29754i
$388$	−2583.97	−	1727.11i	−0.338096	−	0.225981i
$389$	−3941.97	−	1632.82i	−0.513793	−	0.212820i	0.110695	−	0.993854i	$-0.464692\pi$
$389$	−3941.97	−	1632.82i	−0.513793	−	0.212820i	−0.624488	+	0.781034i	$0.714692\pi$
$390$	429.987	+	4369.06i	0.0558289	+	0.567272i
$391$	−2651.04	−	2651.04i	−0.342887	−	0.342887i
$392$	1088.18	−	892.643i	0.140208	−	0.115013i
$393$	−7310.49	+	7310.49i	−0.938335	+	0.938335i
$394$	−9525.73	−	7818.75i	−1.21802	−	0.999754i
$395$	2426.67	−	5858.50i	0.309111	−	0.746261i
$396$	4506.36	−	22637.4i	0.571851	−	2.87266i
$397$	2995.05	−	1240.59i	0.378632	−	0.156835i	−0.185247	−	0.982692i	$-0.559308\pi$
$397$	2995.05	−	1240.59i	0.378632	−	0.156835i	0.563879	+	0.825857i	$0.309308\pi$
$398$	−1463.80	−	2739.06i	−0.184355	−	0.344966i
$399$			10366.4i			1.30068i
$400$	−596.059	+	1437.81i	−0.0745074	+	0.179726i
$401$		−	8084.70i		−	1.00681i	−0.864051	−	0.503405i	$-0.832081\pi$
$401$		−	8084.70i		−	1.00681i	0.864051	−	0.503405i	$-0.167919\pi$
$402$	18628.6	−	9955.44i	2.31123	−	1.23515i
$403$	2383.57	−	987.308i	0.294626	−	0.122038i
$404$	3167.46	+	4741.96i	0.390067	+	0.583964i
$405$	932.346	−	2250.88i	0.114392	−	0.276166i
$406$	−1126.29	+	1372.19i	−0.137677	+	0.167735i
$407$	5584.85	−	5584.85i	0.680174	−	0.680174i
$408$	−7571.97	−	4049.47i	−0.918796	−	0.491370i
$409$	4621.85	+	4621.85i	0.558767	+	0.558767i	0.928956	−	0.370189i	$-0.120707\pi$
$409$	4621.85	+	4621.85i	0.558767	+	0.558767i	−0.370189	+	0.928956i	$0.620707\pi$
$410$	755.356	−	74.3394i	0.0909863	−	0.00895454i
$411$	1232.64	+	510.577i	0.147936	+	0.0612771i
$412$	1031.33	+	5188.87i	0.123325	+	0.620479i
$413$	−3166.98	−	7645.77i	−0.377329	−	0.910954i
$414$	−3264.40	+	10758.4i	−0.387528	+	1.27717i
$415$	−7872.92			−0.931245
$416$	−1260.62	−	2360.55i	−0.148574	−	0.278211i
$417$	−4479.93			−0.526099
$418$	−3643.26	+	12007.0i	−0.426310	+	1.40498i
$419$	−2131.19	−	5145.14i	−0.248485	−	0.599897i	0.749590	−	0.661902i	$-0.230250\pi$
$419$	−2131.19	−	5145.14i	−0.248485	−	0.599897i	−0.998076	+	0.0620052i	$0.980250\pi$
$420$	−13805.0	+	2743.86i	−1.60385	+	0.318778i
$421$	−8558.20	−	3544.92i	−0.990739	−	0.410378i	−0.172346	−	0.985036i	$-0.555135\pi$
$421$	−8558.20	−	3544.92i	−0.990739	−	0.410378i	−0.818393	+	0.574659i	$0.805135\pi$
$422$	−4435.09	+	436.486i	−0.511604	+	0.0503502i
$423$	7571.75	+	7571.75i	0.870334	+	0.870334i
$424$	14636.1	−	4436.24i	1.67639	−	0.508120i
$425$	759.512	−	759.512i	0.0866864	−	0.0866864i
$426$	−12003.0	+	14623.4i	−1.36513	+	1.66317i
$427$	4057.35	−	9795.30i	0.459833	−	1.11014i
$428$	4127.84	−	2757.25i	0.466184	−	0.311394i
$429$	−7230.71	+	2995.06i	−0.813758	+	0.337069i
$430$	−6960.40	+	3719.75i	−0.780605	+	0.417168i
$431$			6610.79i			0.738818i	0.929267	+	0.369409i	$0.120440\pi$
$431$			6610.79i			0.738818i	−0.929267	+	0.369409i	$0.879560\pi$
$432$	−3.23951	+	10902.4i	−0.000360790	+	1.21422i
$433$		−	8705.35i		−	0.966172i	−0.875573	−	0.483086i	$-0.839516\pi$
$433$		−	8705.35i		−	0.966172i	0.875573	−	0.483086i	$-0.160484\pi$
$434$	3898.60	+	7295.07i	0.431195	+	0.806853i
$435$	−3633.21	+	1504.92i	−0.400458	+	0.165875i
$436$	−998.445	−	198.757i	−0.109672	−	0.0218320i
$437$	2338.87	−	5646.53i	0.256026	−	0.618101i
$438$	−1838.61	−	1509.14i	−0.200576	−	0.164634i
$439$	−11344.9	+	11344.9i	−1.23341	+	1.23341i	−0.270757	+	0.962648i	$0.587274\pi$
$439$	−11344.9	+	11344.9i	−1.23341	+	1.23341i	−0.962648	+	0.270757i	$0.912726\pi$
$440$	−16954.1	−	1673.65i	−1.83695	−	0.181337i
$441$	2059.56	+	2059.56i	0.222391	+	0.222391i
$442$	180.877	+	1837.87i	0.0194648	+	0.197780i
$443$	−1931.24	−	799.946i	−0.207124	−	0.0857936i	0.276709	−	0.960954i	$-0.410756\pi$
$443$	−1931.24	−	799.946i	−0.207124	−	0.0857936i	−0.483834	+	0.875160i	$0.660756\pi$
$444$	−4896.32	+	7325.50i	−0.523353	+	0.783002i
$445$	4339.16	+	10475.7i	0.462239	+	1.11594i
$446$	3936.67	+	1194.49i	0.417952	+	0.126818i
$447$	20600.2			2.17977
$448$	7135.80	−	4763.39i	0.752534	−	0.502342i
$449$	1770.44			0.186085			0.0930426	−	0.995662i	$-0.470341\pi$
$449$	1770.44			0.186085			0.0930426	+	0.995662i	$0.470341\pi$
$450$	−3082.24	−	935.237i	−0.322885	−	0.0979722i
$451$	517.808	+	1250.10i	0.0540635	+	0.130521i
$452$	−6402.02	+	9578.22i	−0.666207	+	0.996729i
$453$	−2154.36	−	892.366i	−0.223445	−	0.0925541i
$454$	948.134	+	9633.90i	0.0980135	+	0.995906i
$455$	2140.49	+	2140.49i	0.220545	+	0.220545i
$456$	1375.15	−	13930.3i	0.141222	−	1.43058i
$457$	−7694.10	+	7694.10i	−0.787560	+	0.787560i	−0.981094	−	0.193534i	$-0.938005\pi$
$457$	−7694.10	+	7694.10i	−0.787560	+	0.787560i	0.193534	+	0.981094i	$0.438005\pi$
$458$	−13599.2	−	11162.2i	−1.38744	−	1.13882i
$459$	2879.21	−	6951.02i	0.292788	−	0.706854i
$460$	8138.60	+	1620.13i	0.824922	+	0.164215i
$461$	−5291.40	+	2191.77i	−0.534588	+	0.221433i	−0.633611	−	0.773652i	$-0.718428\pi$
$461$	−5291.40	+	2191.77i	−0.534588	+	0.221433i	0.0990235	+	0.995085i	$0.468428\pi$
$462$	−11826.6	−	22130.0i	−1.19096	−	2.22853i
$463$		−	13153.5i		−	1.32029i	−0.751138	−	0.660145i	$-0.770495\pi$
$463$		−	13153.5i		−	1.32029i	0.751138	−	0.660145i	$-0.229505\pi$
$464$	1695.53	−	1694.52i	0.169640	−	0.169539i
$465$			18323.3i			1.82736i
$466$	5281.52	−	2822.53i	0.525025	−	0.280581i
$467$	7862.87	−	3256.91i	0.779122	−	0.322723i	0.0425611	−	0.999094i	$-0.486448\pi$
$467$	7862.87	−	3256.91i	0.779122	−	0.322723i	0.736561	+	0.676371i	$0.236448\pi$
$468$	4605.11	−	3076.05i	0.454854	−	0.303826i
$469$	5573.41	−	13455.4i	0.548734	−	1.32476i
$470$	5014.47	−	6109.22i	0.492128	−	0.599569i
$471$	−9089.16	+	9089.16i	−0.889185	+	0.889185i
$472$	3241.52	+	10694.4i	0.316108	+	1.04291i
$473$	−9948.47	−	9948.47i	−0.967085	−	0.967085i
$474$	−12550.7	+	1235.20i	−1.21619	+	0.119693i
$475$	1617.71	+	670.076i	0.156264	+	0.0647268i
$476$	−5807.18	+	1154.22i	−0.559184	+	0.111142i
$477$	12111.6	+	29240.1i	1.16259	+	2.80673i
$478$	853.892	−	2814.15i	0.0817074	−	0.269281i
$479$	15687.9			1.49645			0.748224	−	0.663446i	$-0.230907\pi$
$479$	15687.9			1.49645			0.748224	+	0.663446i	$0.230907\pi$
$480$	18915.1	−	1855.88i	1.79865	−	0.176477i
$481$	1895.01			0.179636
$482$	−98.9633	+	326.151i	−0.00935198	+	0.0308211i
$483$	4677.16	+	11291.7i	0.440617	+	1.06374i
$484$	−3844.98	−	19345.0i	−0.361099	−	1.81678i
$485$	−4386.00	−	1816.74i	−0.410635	−	0.170091i
$486$	8124.57	−	799.591i	0.758308	−	0.0746300i
$487$	−13515.4	−	13515.4i	−1.25758	−	1.25758i	−0.952247	−	0.305330i	$-0.901233\pi$
$487$	−13515.4	−	13515.4i	−1.25758	−	1.25758i	−0.305330	−	0.952247i	$-0.598767\pi$
$488$	−6751.62	+	12624.6i	−0.626294	+	1.17109i
$489$	21138.8	−	21138.8i	1.95487	−	1.95487i
$490$	1363.97	−	1661.75i	0.125750	−	0.153204i
$491$	−1348.48	+	3255.53i	−0.123943	+	0.299226i	−0.973657	−	0.228019i	$-0.926775\pi$
$491$	−1348.48	+	3255.53i	−0.123943	+	0.299226i	0.849713	+	0.527245i	$0.176775\pi$
$492$	−838.453	−	1255.24i	−0.0768300	−	0.115021i
$493$	−1528.33	+	633.056i	−0.139620	+	0.0578325i
$494$	−2655.16	+	1418.96i	−0.241825	+	0.129235i
$495$		−	35256.1i		−	3.20130i
$496$	−4271.18	−	10320.2i	−0.386656	−	0.934256i
$497$			13044.8i			1.17734i
$498$	7379.95	+	13809.4i	0.664063	+	1.24260i
$499$	−13952.2	+	5779.20i	−1.25168	+	0.518462i	−0.907345	−	0.420386i	$-0.861895\pi$
$499$	−13952.2	+	5779.20i	−1.25168	+	0.518462i	−0.344332	+	0.938848i	$0.611895\pi$
$500$	1921.56	−	9652.82i	0.171869	−	0.863374i
$501$	997.667	−	2408.58i	0.0889671	−	0.214785i
$502$	−13880.7	−	11393.3i	−1.23412	−	1.01297i
$503$	12832.8	−	12832.8i	1.13755	−	1.13755i	0.148658	−	0.988889i	$-0.452505\pi$
$503$	12832.8	−	12832.8i	1.13755	−	1.13755i	0.988889	−	0.148658i	$-0.0474954\pi$
$504$	11260.6	+	13727.3i	0.995211	+	1.21322i
$505$	6159.17	+	6159.17i	0.542732	+	0.542732i
$506$	1448.93	+	14722.4i	0.127298	+	1.29346i
$507$	15705.3	+	6505.34i	1.37573	+	0.569847i
$508$	2265.92	+	1514.52i	0.197901	+	0.132276i
$509$	−294.015	−	709.814i	−0.0256031	−	0.0618113i	0.910561	−	0.413375i	$-0.135650\pi$
$509$	−294.015	−	709.814i	−0.0256031	−	0.0618113i	−0.936164	+	0.351564i	$0.885650\pi$
$510$	−12550.9	−	3808.29i	−1.08973	−	0.330655i
$511$	−1640.13			−0.141987
$512$	−10220.9	+	5454.41i	−0.882236	+	0.470807i
$513$	12265.0			1.05558
$514$	−12236.3	−	3712.84i	−1.05004	−	0.318611i
$515$	3092.39	+	7465.70i	0.264596	+	0.638792i
$516$	13049.1	+	8721.96i	1.11329	+	0.744114i
$517$	13017.5	+	5392.01i	1.10736	+	0.458685i
$518$	595.053	+	6046.28i	0.0504732	+	0.512854i
$519$	−22279.0	−	22279.0i	−1.88428	−	1.88428i
$520$	−2592.43	−	3160.32i	−0.218626	−	0.266518i
$521$	−4736.98	+	4736.98i	−0.398332	+	0.398332i	−0.877644	−	0.479312i	$-0.840886\pi$
$521$	−4736.98	+	4736.98i	−0.398332	+	0.398332i	0.479312	+	0.877644i	$0.340886\pi$
$522$	3834.45	+	3147.33i	0.321512	+	0.263898i
$523$	881.013	−	2126.95i	0.0736597	−	0.177830i	−0.882761	−	0.469822i	$-0.844318\pi$
$523$	881.013	−	2126.95i	0.0736597	−	0.177830i	0.956421	+	0.291992i	$0.0943180\pi$
$524$	1879.35	−	9440.78i	0.156679	−	0.787066i
$525$	−3235.01	+	1339.99i	−0.268929	+	0.111394i
$526$	847.738	+	1586.29i	0.0702721	+	0.131493i
$527$			7707.81i			0.637111i
$528$	12956.9	+	31307.0i	1.06795	+	2.58042i
$529$			4961.24i			0.407762i
$530$	20602.8	−	11010.5i	1.68854	−	0.902384i
$531$	−21365.5	+	8849.86i	−1.74611	+	0.723260i
$532$	−5361.13	−	8026.07i	−0.436907	−	0.654087i
$533$	−124.238	+	299.937i	−0.0100963	+	0.0243747i
$534$	14307.2	−	17430.8i	1.15943	−	1.41255i
$535$	5361.51	−	5361.51i	0.433268	−	0.433268i
$536$	−9274.42	+	17341.9i	−0.747377	+	1.39749i
$537$	−10798.5	−	10798.5i	−0.867763	−	0.867763i
$538$	−7424.61	+	730.703i	−0.594977	+	0.0585555i
$539$	3540.83	+	1466.66i	0.282958	+	0.117205i
$540$	3246.40	+	16333.4i	0.258709	+	1.30163i
$541$	8550.73	+	20643.3i	0.679528	+	1.64053i	0.764879	+	0.644174i	$0.222799\pi$
$541$	8550.73	+	20643.3i	0.679528	+	1.64053i	−0.0853508	+	0.996351i	$0.527201\pi$
$542$	−1365.01	+	4498.65i	−0.108178	+	0.356519i
$543$	−24082.4			−1.90327
$544$	7956.75	−	780.687i	0.627101	−	0.0615289i
$545$	−1555.00			−0.122218
$546$	1748.04	−	5760.96i	0.137013	−	0.451550i
$547$	−2552.53	−	6162.34i	−0.199521	−	0.481687i	0.792174	−	0.610295i	$-0.208949\pi$
$547$	−2552.53	−	6162.34i	−0.199521	−	0.481687i	−0.991696	+	0.128608i	$0.958949\pi$
$548$	−1218.41	+	242.168i	−0.0949778	+	0.0188776i
$549$	−27372.1	−	11337.9i	−2.12789	−	0.881403i
$550$	−4217.92	+	415.112i	−0.327005	+	0.0321826i
$551$	−1906.88	−	1906.88i	−0.147433	−	0.147433i
$552$	−4787.24	−	15794.1i	−0.369127	−	1.21783i
$553$	−6148.86	+	6148.86i	−0.472832	+	0.472832i
$554$	−11477.1	+	13982.8i	−0.880174	+	1.07233i
$555$	−5150.41	+	12434.2i	−0.393915	+	0.950995i
$556$	3468.53	−	2316.86i	0.264566	−	0.176720i
$557$	−2494.05	+	1033.07i	−0.189724	+	0.0785863i	−0.475523	−	0.879703i	$-0.657741\pi$
$557$	−2494.05	+	1033.07i	−0.189724	+	0.0785863i	0.285799	+	0.958290i	$0.407741\pi$
$558$	20385.4	−	10894.3i	1.54657	−	0.826509i
$559$		−	3375.64i		−	0.255411i
$560$	9269.36	−	9263.85i	0.699468	−	0.699052i
$561$		−	23382.1i		−	1.75970i
$562$	6686.79	+	12512.3i	0.501896	+	0.939148i
$563$	19457.5	−	8059.54i	1.45654	−	0.603320i	0.492798	−	0.870144i	$-0.335974\pi$
$563$	19457.5	−	8059.54i	1.45654	−	0.603320i	0.963745	+	0.266823i	$0.0859741\pi$
$564$	−15416.3	−	3068.87i	−1.15096	−	0.229118i
$565$	−6734.26	+	16257.9i	−0.501438	+	1.21058i
$566$	−5056.54	−	4150.42i	−0.375516	−	0.308225i
$567$	−2362.44	+	2362.44i	−0.174979	+	0.174979i
$568$	1730.45	−	17529.5i	0.127831	−	1.29493i
$569$	1740.16	+	1740.16i	0.128209	+	0.128209i	0.768300	−	0.640090i	$-0.221103\pi$
$569$	1740.16	+	1740.16i	0.128209	+	0.128209i	−0.640090	+	0.768300i	$0.721103\pi$
$570$	−2094.16	−	21278.5i	−0.153885	−	1.56361i
$571$	16395.2	+	6791.10i	1.20160	+	0.497721i	0.891517	−	0.452987i	$-0.149642\pi$
$571$	16395.2	+	6791.10i	1.20160	+	0.497721i	0.310088	+	0.950708i	$0.399642\pi$
$572$	4049.36	−	6058.34i	0.296000	−	0.442853i
$573$	−12412.4	−	29966.2i	−0.904949	−	2.18474i
$574$	−995.999	−	302.214i	−0.0724254	−	0.0219759i
$575$	2064.42			0.149726
$576$	−13310.9	−	19940.4i	−0.962883	−	1.44245i
$577$	−13473.2			−0.972091			−0.486046	−	0.873933i	$-0.661561\pi$
$577$	−13473.2			−0.972091			−0.486046	+	0.873933i	$0.661561\pi$
$578$	8017.79	+	2432.82i	0.576983	+	0.175073i
$579$	3677.87	+	8879.15i	0.263984	+	0.637314i
$580$	2034.68	−	3044.13i	0.145665	−	0.217932i
$581$	9974.48	+	4131.56i	0.712239	+	0.295019i
$582$	924.739	+	9396.18i	0.0658619	+	0.669217i
$583$	29447.5	+	29447.5i	2.09192	+	2.09192i
$584$	2204.00	+	217.571i	0.156168	+	0.0154163i
$585$	5981.42	−	5981.42i	0.422737	−	0.422737i
$586$	17826.2	+	14631.8i	1.25664	+	1.03146i
$587$	873.151	−	2107.97i	0.0613949	−	0.148220i	−0.890205	−	0.455560i	$-0.849439\pi$
$587$	873.151	−	2107.97i	0.0613949	−	0.148220i	0.951600	+	0.307340i	$0.0994389\pi$
$588$	−4193.32	−	834.751i	−0.294098	−	0.0585452i
$589$	−11608.6	+	4808.46i	−0.812098	+	0.336382i
$590$	8045.23	+	15054.3i	0.561385	+	1.05046i
$591$			37436.9i			2.60566i
$592$	2.43768	−	8203.87i	0.000169236	−	0.569556i
$593$		−	4205.87i		−	0.291255i	−0.989339	−	0.145628i	$-0.953480\pi$
$593$		−	4205.87i		−	0.291255i	0.989339	−	0.145628i	$-0.0465201\pi$
$594$	−26183.2	+	13992.7i	−1.80860	+	0.966544i
$595$	−8355.30	+	3460.88i	−0.575688	+	0.238458i
$596$	−15949.5	+	10653.7i	−1.09617	+	0.732199i
$597$	−3610.39	+	8716.25i	−0.247510	+	0.597541i
$598$	−2251.93	+	2743.57i	−0.153994	+	0.187614i
$599$	−9771.17	+	9771.17i	−0.666510	+	0.666510i	−0.956906	−	0.290397i	$-0.906213\pi$
$599$	−9771.17	+	9771.17i	−0.666510	+	0.666510i	0.290397	+	0.956906i	$0.406213\pi$
$600$	4524.94	−	1371.52i	0.307883	−	0.0933203i
$601$	15649.6	+	15649.6i	1.06216	+	1.06216i	0.997935	+	0.0642295i	$0.0204590\pi$
$601$	15649.6	+	15649.6i	1.06216	+	1.06216i	0.0642295	+	0.997935i	$0.479541\pi$
$602$	10770.4	−	1059.99i	0.729185	−	0.0717638i
$603$	−37600.0	−	15574.4i	−2.53929	−	1.05181i
$604$	2129.49	−	423.253i	0.143456	−	0.0285131i
$605$	−11529.0	−	27833.4i	−0.774744	−	1.87040i
$606$	5029.90	−	16576.9i	0.337171	−	1.11121i
$607$	−12239.3			−0.818417			−0.409209	−	0.912441i	$-0.634195\pi$
$607$	−12239.3			−0.818417			−0.409209	+	0.912441i	$0.634195\pi$
$608$	6139.54	+	11496.5i	0.409525	+	0.766853i
$609$	5392.79			0.358829
$610$	−6349.49	+	20925.9i	−0.421448	+	1.38896i
$611$	1293.71	+	3123.29i	0.0856592	+	0.206800i
$612$	3225.38	+	16227.7i	0.213036	+	1.07184i
$613$	−17070.1	−	7070.67i	−1.12472	−	0.465876i	−0.258739	−	0.965947i	$-0.583307\pi$
$613$	−17070.1	−	7070.67i	−1.12472	−	0.465876i	−0.865984	+	0.500072i	$0.833307\pi$
$614$	−10115.9	+	995.567i	−0.664891	+	0.0654362i
$615$	−1630.38	−	1630.38i	−0.106900	−	0.106900i
$616$	20601.5	+	11017.6i	1.34749	+	0.720637i
$617$	11602.2	−	11602.2i	0.757031	−	0.757031i	−0.218750	−	0.975781i	$-0.570198\pi$
$617$	11602.2	−	11602.2i	0.757031	−	0.757031i	0.975781	+	0.218750i	$0.0701978\pi$
$618$	10196.3	−	12422.4i	0.663684	−	0.808579i
$619$	−8701.45	+	21007.2i	−0.565009	+	1.36405i	0.340707	+	0.940169i	$0.389333\pi$
$619$	−8701.45	+	21007.2i	−0.565009	+	1.36405i	−0.905717	+	0.423884i	$0.860667\pi$
$620$	−9476.13	−	14186.6i	−0.613823	−	0.918947i
$621$	13359.7	−	5533.78i	0.863297	−	0.357589i
$622$	7536.23	−	4027.48i	0.485812	−	0.259626i
$623$		−	15549.1i		−	0.999938i
$624$	−3113.21	+	7509.65i	−0.199725	+	0.481773i
$625$		−	18073.5i		−	1.15670i
$626$	−13861.0	−	25936.7i	−0.884977	−	1.65597i
$627$	35215.6	−	14586.8i	2.24302	−	0.929089i
$628$	2336.60	−	11737.7i	0.148472	−	0.745839i
$629$	−2166.56	+	5230.53i	−0.137339	+	0.331566i
$630$	20962.7	+	17206.3i	1.32567	+	1.08812i
$631$	6552.95	−	6552.95i	0.413421	−	0.413421i	−0.469508	−	0.882928i	$-0.655569\pi$
$631$	6552.95	−	6552.95i	0.413421	−	0.413421i	0.882928	+	0.469508i	$0.155569\pi$
$632$	9078.46	−	7447.11i	0.571395	−	0.468719i
$633$	9572.83	+	9572.83i	0.601084	+	0.601084i
$634$	232.778	+	2365.23i	0.0145817	+	0.148163i
$635$	3846.14	+	1593.12i	0.240361	+	0.0995608i
$636$	−38625.5	−	25817.0i	−2.40817	−	1.60961i
$637$	351.896	+	849.553i	0.0218880	+	0.0528422i
$638$	6246.25	+	1895.29i	0.387604	+	0.117610i
$639$	36452.6			2.25672
$640$	−13685.0	+	11219.1i	−0.845229	+	0.692926i
$641$	7331.07			0.451731			0.225866	−	0.974158i	$-0.427479\pi$
$641$	7331.07			0.451731			0.225866	+	0.974158i	$0.427479\pi$
$642$	−14430.1	−	4378.48i	−0.887086	−	0.269167i
$643$	−6386.47	−	15418.3i	−0.391692	−	0.945628i	−0.989572	−	0.144042i	$-0.953990\pi$
$643$	−6386.47	−	15418.3i	−0.391692	−	0.945628i	0.597879	−	0.801586i	$-0.296010\pi$
$644$	−9460.86	−	6323.58i	−0.578898	−	0.386931i
$645$	22149.4	+	9174.59i	1.35214	+	0.560076i
$646$	−880.921	−	8950.96i	−0.0536523	−	0.545156i
$647$	−2351.92	−	2351.92i	−0.142911	−	0.142911i	0.632031	−	0.774943i	$-0.282221\pi$
$647$	−2351.92	−	2351.92i	−0.142911	−	0.142911i	−0.774943	+	0.632031i	$0.782221\pi$
$648$	3488.02	−	2861.24i	0.211454	−	0.173457i
$649$	−21517.0	+	21517.0i	−1.30141	+	1.30141i
$650$	−786.023	−	645.170i	−0.0474313	−	0.0389318i
$651$	9615.72	−	23214.4i	0.578909	−	1.39761i
$652$	−5434.26	+	27298.7i	−0.326414	+	1.63972i
$653$	18790.1	−	7783.11i	1.12605	−	0.466427i	0.259616	−	0.965712i	$-0.416404\pi$
$653$	18790.1	−	7783.11i	1.12605	−	0.466427i	0.866438	+	0.499285i	$0.166404\pi$
$654$	1457.64	+	2727.53i	0.0871530	+	0.163081i
$655$		−	14703.3i		−	0.877109i
$656$	1298.32	+	538.236i	0.0772729	+	0.0320344i
$657$			4583.21i			0.272158i
$658$	−9559.00	+	5108.48i	−0.566336	+	0.302659i
$659$	438.021	−	181.434i	0.0258921	−	0.0107248i	−0.369700	−	0.929151i	$-0.620539\pi$
$659$	438.021	−	181.434i	0.0258921	−	0.0107248i	0.395592	+	0.918426i	$0.370539\pi$
$660$	28746.4	+	43035.9i	1.69538	+	2.53814i
$661$	10971.1	−	26486.6i	0.645577	−	1.55856i	−0.173473	−	0.984839i	$-0.555499\pi$
$661$	10971.1	−	26486.6i	0.645577	−	1.55856i	0.819050	−	0.573722i	$-0.194501\pi$
$662$	−1798.21	+	2190.80i	−0.105573	+	0.128622i
$663$	3966.93	−	3966.93i	0.232372	−	0.232372i
$664$	−12855.5	−	6875.12i	−0.751343	−	0.401817i
$665$	−10424.8	−	10424.8i	−0.607904	−	0.607904i
$666$	16895.8	−	1662.82i	0.983032	−	0.0967464i
$667$	−2937.43	−	1216.72i	−0.170521	−	0.0706322i
$668$	473.197	+	2380.77i	0.0274080	+	0.137896i
$669$	−4782.48	−	11545.9i	−0.276385	−	0.667251i
$670$	−8722.05	+	28745.0i	−0.502928	+	1.65749i
$671$	−38984.6			−2.24290
$672$	−24938.1	−	7575.00i	−1.43156	−	0.434839i
$673$	27506.8			1.57550			0.787749	−	0.615996i	$-0.211246\pi$
$673$	27506.8			1.57550			0.787749	+	0.615996i	$0.211246\pi$
$674$	5223.74	−	17215.8i	0.298533	−	0.983867i
$675$	1585.40	+	3827.51i	0.0904034	+	0.218253i
$676$	−15524.0	+	3085.51i	−0.883247	+	0.175552i
$677$	21591.8	+	8943.62i	1.22576	+	0.507727i	0.899237	−	0.437462i	$-0.144122\pi$
$677$	21591.8	+	8943.62i	1.22576	+	0.507727i	0.326524	+	0.945189i	$0.394122\pi$
$678$	34829.6	−	3427.80i	1.97289	−	0.194165i
$679$	4603.38	+	4603.38i	0.260179	+	0.260179i
$680$	11686.9	−	3542.33i	0.659076	−	0.199768i
$681$	20794.1	−	20794.1i	1.17009	−	1.17009i
$682$	19296.1	−	23508.9i	1.08341	−	1.31994i
$683$	−11875.5	+	28670.1i	−0.665308	+	1.60619i	0.124060	+	0.992275i	$0.460408\pi$
$683$	−11875.5	+	28670.1i	−0.665308	+	1.60619i	−0.789368	+	0.613920i	$0.789592\pi$
$684$	−22428.2	+	14981.2i	−1.25375	+	0.837457i
$685$	−1753.03	+	726.130i	−0.0977810	+	0.0405022i
$686$	−16937.9	+	9051.90i	−0.942702	+	0.503795i
$687$			53445.8i			2.96810i
$688$	−14613.8	−	4.34231i	−0.809806	−	0.000240624i
$689$			9991.91i			0.552484i
$690$	−11881.6	−	22232.9i	−0.655543	−	1.22665i
$691$	−2996.03	+	1241.00i	−0.164941	+	0.0683209i	−0.463626	−	0.886031i	$-0.653452\pi$
$691$	−2996.03	+	1241.00i	−0.164941	+	0.0683209i	0.298685	+	0.954352i	$0.403452\pi$
$692$	28771.2	+	5727.39i	1.58051	+	0.314628i
$693$	−18501.7	+	44667.2i	−1.01417	+	2.44843i
$694$	−23886.7	−	19606.3i	−1.30652	−	1.07240i
$695$	4505.16	−	4505.16i	0.245886	−	0.245886i
$696$	−7246.79	−	715.377i	−0.394668	−	0.0389602i
$697$	−685.832	−	685.832i	−0.0372708	−	0.0372708i
$698$	504.735	+	5128.56i	0.0273703	+	0.278107i
$699$	−16806.9	−	6961.63i	−0.909434	−	0.376700i
$700$	1811.68	−	2710.50i	0.0978214	−	0.146353i
$701$	1477.30	+	3566.51i	0.0795959	+	0.192162i	0.958668	−	0.284528i	$-0.0918367\pi$
$701$	1477.30	+	3566.51i	0.0795959	+	0.192162i	−0.879072	+	0.476689i	$0.841837\pi$
$702$	−6816.09	−	2068.19i	−0.366463	−	0.111195i
$703$	−9229.23			−0.495145
$704$	−26222.5	−	17538.3i	−1.40383	−	0.938917i
$705$	−24009.7			−1.28264
$706$	8759.30	+	2657.82i	0.466941	+	0.141683i
$707$	−4571.05	−	11035.5i	−0.243157	−	0.587032i
$708$	18864.2	−	28223.3i	1.00136	−	1.49816i
$709$	15754.7	+	6525.83i	0.834530	+	0.345674i	0.758694	−	0.651447i	$-0.225838\pi$
$709$	15754.7	+	6525.83i	0.834530	+	0.345674i	0.0758356	+	0.997120i	$0.475838\pi$
$710$	−2635.23	−	26776.4i	−0.139294	−	1.41535i
$711$	17182.5	+	17182.5i	0.906319	+	0.906319i
$712$	−2062.65	+	20894.7i	−0.108569	+	1.09981i
$713$	−10475.3	+	10475.3i	−0.550213	+	0.550213i
$714$	13902.6	+	11411.3i	0.728702	+	0.598121i
$715$	4259.50	−	10283.4i	0.222792	−	0.537868i
$716$	13945.2	+	2776.02i	0.727870	+	0.144895i
$717$	−8253.69	+	3418.79i	−0.429902	+	0.178071i
$718$	10227.0	+	19136.8i	0.531572	+	0.994679i
$719$		−	1013.44i		−	0.0525657i	−0.999655	−	0.0262829i	$-0.991633\pi$
$719$		−	1013.44i		−	0.0525657i	0.999655	−	0.0262829i	$-0.00836706\pi$
$720$	−25887.0	−	25902.4i	−1.33993	−	1.34073i
$721$		−	11081.4i		−	0.572388i
$722$	−4178.73	+	2233.18i	−0.215397	+	0.115111i
$723$	956.575	−	396.226i	0.0492053	−	0.0203815i
$724$	18645.5	−	12454.5i	0.957121	−	0.639322i
$725$	348.586	−	841.560i	0.0178568	−	0.0431100i
$726$	−38013.8	+	46312.9i	−1.94328	+	2.36754i
$727$	3353.13	−	3353.13i	0.171060	−	0.171060i	−0.616385	−	0.787445i	$-0.711403\pi$
$727$	3353.13	−	3353.13i	0.171060	−	0.171060i	0.787445	+	0.616385i	$0.211403\pi$
$728$	1625.96	+	5364.38i	0.0827776	+	0.273100i
$729$	−21342.8	−	21342.8i	−1.08433	−	1.08433i
$730$	3366.60	−	331.329i	0.170690	−	0.0167987i
$731$	9317.30	+	3859.35i	0.471426	+	0.195271i
$732$	42656.7	−	8478.35i	2.15387	−	0.428100i
$733$	−12032.3	−	29048.5i	−0.606307	−	1.46375i	−0.866988	−	0.498329i	$-0.833947\pi$
$733$	−12032.3	−	29048.5i	−0.606307	−	1.46375i	0.260681	−	0.965425i	$-0.416053\pi$
$734$	8963.36	−	29540.3i	0.450741	−	1.48550i
$735$	−6530.79			−0.327744
$736$	11874.6	+	9752.59i	0.594704	+	0.488431i
$737$	−53551.6			−2.67652
$738$	−844.510	+	2783.23i	−0.0421231	+	0.138824i
$739$	827.863	+	1998.64i	0.0412090	+	0.0994873i	0.943144	−	0.332385i	$-0.107853\pi$
$739$	827.863	+	1998.64i	0.0412090	+	0.0994873i	−0.901935	+	0.431872i	$0.857853\pi$
$740$	−2442.86	−	12290.6i	−0.121353	−	0.610558i
$741$	8449.28	+	3499.81i	0.418883	+	0.173507i
$742$	−31880.5	+	3137.56i	−1.57732	+	0.155234i
$743$	−15379.7	−	15379.7i	−0.759391	−	0.759391i	0.216821	−	0.976211i	$-0.430431\pi$
$743$	−15379.7	−	15379.7i	−0.759391	−	0.759391i	−0.976211	+	0.216821i	$0.930431\pi$
$744$	−16001.0	+	29919.7i	−0.788475	+	1.47434i
$745$	−20716.2	+	20716.2i	−1.01877	+	1.01877i
$746$	−18389.4	+	22404.2i	−0.902526	+	1.09956i
$747$	11545.3	−	27872.8i	0.565489	−	1.36521i
$748$	12092.4	+	18103.3i	0.591097	+	0.884924i
$749$	−9606.29	+	3979.06i	−0.468633	+	0.194114i
$750$	−26369.4	+	14092.2i	−1.28383	+	0.686100i
$751$		−	23971.2i		−	1.16474i	−0.812923	−	0.582371i	$-0.802125\pi$
$751$		−	23971.2i		−	1.16474i	0.812923	−	0.582371i	$-0.197875\pi$
$752$	13523.0	−	5596.69i	0.655761	−	0.271397i
$753$			54552.3i			2.64010i
$754$	738.169	+	1381.26i	0.0356532	+	0.0667144i
$755$	3063.88	−	1269.10i	0.147690	−	0.0611753i
$756$	4458.51	−	22397.0i	0.214490	−	1.07748i
$757$	9946.89	−	24013.9i	0.477577	−	1.15297i	−0.483165	−	0.875529i	$-0.660513\pi$
$757$	9946.89	−	24013.9i	0.477577	−	1.15297i	0.960742	−	0.277443i	$-0.0894871\pi$
$758$	23764.3	+	19505.8i	1.13873	+	0.934673i
$759$	31777.4	−	31777.4i	1.51969	−	1.51969i
$760$	12625.8	+	15391.6i	0.602615	+	0.734623i
$761$	26392.4	+	26392.4i	1.25719	+	1.25719i	0.952428	+	0.304763i	$0.0985771\pi$
$761$	26392.4	+	26392.4i	1.25719	+	1.25719i	0.304763	+	0.952428i	$0.401423\pi$
$762$	−810.914	−	8239.63i	−0.0385516	−	0.391719i
$763$	1970.09	+	816.037i	0.0934757	+	0.0387189i
$764$	25107.6	+	16781.7i	1.18895	+	0.794688i
$765$	9671.13	+	23348.2i	0.457073	+	1.10347i
$766$	4355.66	+	1321.63i	0.205452	+	0.0623399i
$767$	−7300.99			−0.343707
$768$	32506.7	+	13487.4i	1.52732	+	0.633702i
$769$	−13563.7			−0.636046			−0.318023	−	0.948083i	$-0.603019\pi$
$769$	−13563.7			−0.636046			−0.318023	+	0.948083i	$0.603019\pi$
$770$	34147.9	+	10361.4i	1.59819	+	0.484934i
$771$	14865.3	+	35888.1i	0.694374	+	1.67637i
$772$	−7439.51	−	4972.52i	−0.346832	−	0.231820i
$773$	3266.20	+	1352.90i	0.151975	+	0.0629502i	0.457374	−	0.889274i	$-0.348790\pi$
$773$	3266.20	+	1352.90i	0.151975	+	0.0629502i	−0.305399	+	0.952224i	$0.598790\pi$
$774$	−2962.04	−	30097.0i	−0.137556	−	1.39769i
$775$	−3001.12	−	3001.12i	−0.139101	−	0.139101i
$776$	−5575.33	−	6796.64i	−0.257916	−	0.314414i
$777$	13050.5	−	13050.5i	0.602552	−	0.602552i
$778$	−9328.28	−	7656.68i	−0.429865	−	0.352835i
$779$	605.073	−	1460.77i	0.0278292	−	0.0671857i
$780$	−2424.30	+	12178.3i	−0.111287	+	0.559044i
$781$	44314.3	−	18355.6i	2.03033	−	0.840992i
$782$	−4998.07	−	9352.40i	−0.228556	−	0.427674i
$783$		−	6380.49i		−	0.291213i
$784$	3678.33	−	1522.33i	0.167562	−	0.0693483i
$785$		−	18280.7i		−	0.831166i
$786$	−25790.1	+	13782.7i	−1.17036	+	0.625459i
$787$	−10905.7	+	4517.30i	−0.493960	+	0.204605i	−0.615736	−	0.787953i	$-0.711141\pi$
$787$	−10905.7	+	4517.30i	−0.493960	+	0.204605i	0.121775	+	0.992558i	$0.461141\pi$
$788$	−19361.0	−	28985.0i	−0.875261	−	1.31034i
$789$	2090.91	−	5047.90i	0.0943451	−	0.227769i
$790$	11379.3	−	13863.6i	0.512476	−	0.624359i
$791$	17063.7	−	17063.7i	0.767024	−	0.767024i
$792$	30787.8	−	57569.0i	1.38131	−	2.58286i
$793$	−6613.98	−	6613.98i	−0.296178	−	0.296178i
$794$	9125.15	−	898.064i	0.407858	−	0.0401399i
$795$	−65562.3	−	27156.8i	−2.92485	−	1.21151i
$796$	−1712.42	−	8615.61i	−0.0762502	−	0.383633i
$797$	1753.95	+	4234.40i	0.0779523	+	0.188193i	0.958051	−	0.286597i	$-0.0925240\pi$
$797$	1753.95	+	4234.40i	0.0779523	+	0.188193i	−0.880099	+	0.474790i	$0.842524\pi$
$798$	−8513.42	+	28057.5i	−0.377659	+	1.24464i
$799$	−10099.8			−0.447192
$800$	−2794.08	+	3402.01i	−0.123482	+	0.150349i
$801$	−43450.6			−1.91667
$802$	6639.56	−	21881.8i	0.292333	−	0.963435i
$803$	2307.86	+	5571.66i	0.101423	+	0.244856i
$804$	58595.7	−	11646.4i	2.57029	−	0.510865i
$805$	−16058.7	−	6651.74i	−0.703100	−	0.291234i
$806$	7262.14	−	714.714i	0.317367	−	0.0312341i
$807$	16025.5	+	16025.5i	0.699039	+	0.699039i
$808$	4678.63	+	15435.8i	0.203705	+	0.672064i
$809$	7035.78	−	7035.78i	0.305766	−	0.305766i	−0.537499	−	0.843265i	$-0.680631\pi$
$809$	7035.78	−	7035.78i	0.305766	−	0.305766i	0.843265	+	0.537499i	$0.180631\pi$
$810$	4372.00	−	5326.49i	0.189650	−	0.231054i
$811$	12951.5	−	31267.6i	0.560773	−	1.35383i	−0.348375	−	0.937355i	$-0.613266\pi$
$811$	12951.5	−	31267.6i	0.560773	−	1.35383i	0.909149	−	0.416472i	$-0.136734\pi$
$812$	−4175.31	+	2788.95i	−0.180449	+	0.120533i
$813$	13194.2	−	5465.20i	0.569176	−	0.235760i
$814$	19702.4	−	10529.3i	0.848364	−	0.453379i
$815$			42515.7i			1.82731i
$816$	−17168.5	−	17178.7i	−0.736541	−	0.736979i
$817$			16440.3i			0.704007i
$818$	8713.69	+	16305.1i	0.372453	+	0.696936i
$819$	−10717.0	+	4439.13i	−0.457244	+	0.189397i
$820$	2105.48	+	419.131i	0.0896665	+	0.0178496i
$821$	−14509.7	+	35029.4i	−0.616798	+	1.48908i	0.238605	+	0.971117i	$0.423310\pi$
$821$	−14509.7	+	35029.4i	−0.616798	+	1.48908i	−0.855402	+	0.517964i	$0.826690\pi$
$822$	2916.92	+	2394.22i	0.123771	+	0.101591i
$823$	−20334.4	+	20334.4i	−0.861254	+	0.861254i	−0.991484	−	0.130230i	$-0.958428\pi$
$823$	−20334.4	+	20334.4i	−0.861254	+	0.861254i	0.130230	+	0.991484i	$0.458428\pi$
$824$	−1469.99	+	14891.1i	−0.0621476	+	0.629557i
$825$	9104.08	+	9104.08i	0.384198	+	0.384198i
$826$	−2292.59	−	23294.7i	−0.0965729	−	0.981269i
$827$	8362.20	+	3463.74i	0.351611	+	0.145642i	0.551496	−	0.834177i	$-0.314057\pi$
$827$	8362.20	+	3463.74i	0.351611	+	0.145642i	−0.199885	+	0.979819i	$0.564057\pi$
$828$	−17670.7	+	26437.6i	−0.741665	+	1.10962i
$829$	10022.4	+	24196.3i	0.419895	+	1.01372i	0.982377	+	0.186908i	$0.0598465\pi$
$829$	10022.4	+	24196.3i	0.419895	+	1.01372i	−0.562482	+	0.826809i	$0.690153\pi$
$830$	−21308.7	−	6465.64i	−0.891126	−	0.270392i
$831$	54953.5			2.29400
$832$	−1473.34	−	7424.30i	−0.0613931	−	0.309364i
$833$	−2747.22			−0.114268
$834$	−12125.3	−	3679.15i	−0.503434	−	0.152756i
$835$	1418.86	+	3425.43i	0.0588044	+	0.141966i
$836$	−19721.5	+	29505.8i	−0.815888	+	1.22067i
$837$	−27466.1	−	11376.8i	−1.13425	−	0.469822i
$838$	−1542.77	−	15676.0i	−0.0635968	−	0.646202i
$839$	−25343.9	−	25343.9i	−1.04287	−	1.04287i	−0.999039	−	0.0438328i	$-0.986043\pi$
$839$	−25343.9	−	25343.9i	−1.04287	−	1.04287i	−0.0438328	−	0.999039i	$-0.513957\pi$
$840$	−39617.8	−	3910.92i	−1.62731	−	0.160642i
$841$	16253.6	−	16253.6i	0.666433	−	0.666433i
$842$	−20252.1	−	16623.0i	−0.828902	−	0.680365i
$843$	16492.7	−	39816.9i	0.673829	−	1.62677i
$844$	−12362.4	−	2460.94i	−0.504183	−	0.100366i
$845$	−22335.7	+	9251.75i	−0.909315	+	0.376651i
$846$	14275.2	+	26711.8i	0.580132	+	1.08554i
$847$			41313.3i			1.67597i
$848$	43256.9	+	12.8532i	1.75171	+	0.000520498i
$849$			19872.6i			0.803328i
$850$	2679.42	−	1431.93i	0.108122	−	0.0577820i
$851$	−10053.0	+	4164.08i	−0.404949	+	0.167735i
$852$	−44496.5	+	29722.0i	−1.78923	+	1.19514i
$853$	380.743	−	919.196i	0.0152830	−	0.0368964i	−0.916054	−	0.401055i	$-0.868644\pi$
$853$	380.743	−	919.196i	0.0152830	−	0.0368964i	0.931337	+	0.364159i	$0.118644\pi$
$854$	19025.9	−	23179.6i	0.762357	−	0.928794i
$855$	−29131.2	+	29131.2i	−1.16522	+	1.16522i
$856$	13436.7	−	4072.71i	0.536515	−	0.162619i
$857$	13094.2	+	13094.2i	0.521926	+	0.521926i	0.918153	−	0.396227i	$-0.129681\pi$
$857$	13094.2	+	13094.2i	0.521926	+	0.521926i	−0.396227	+	0.918153i	$0.629681\pi$
$858$	−22030.2	+	2168.13i	−0.876570	+	0.0862689i
$859$	11812.2	+	4892.78i	0.469182	+	0.194342i	0.604732	−	0.796429i	$-0.293280\pi$
$859$	11812.2	+	4892.78i	0.469182	+	0.194342i	−0.135550	+	0.990770i	$0.543280\pi$
$860$	−21893.7	+	4351.54i	−0.868103	+	0.172542i
$861$	1209.99	+	2921.18i	0.0478937	+	0.115626i
$862$	−5429.11	+	17892.6i	−0.214520	+	0.706989i
$863$	10032.7			0.395732			0.197866	−	0.980229i	$-0.436599\pi$
$863$	10032.7			0.395732			0.197866	+	0.980229i	$0.436599\pi$
$864$	−8962.37	+	29505.5i	−0.352900	+	1.16180i
$865$	44809.0			1.76133
$866$	7149.27	−	23561.7i	0.280534	−	0.924548i
$867$	−9740.45	−	23515.5i	−0.381549	−	0.921141i
$868$	4560.77	+	22946.4i	0.178344	+	0.897293i
$869$	29540.3	+	12236.0i	1.15315	+	0.477650i
$870$	−11069.5	+	1089.42i	−0.431368	+	0.0424537i
$871$	−9085.36	−	9085.36i	−0.353439	−	0.353439i
$872$	−2539.14	−	1357.92i	−0.0986078	−	0.0527352i
$873$	12863.8	−	12863.8i	0.498708	−	0.498708i
$874$	10967.5	−	13362.0i	0.424465	−	0.517134i
$875$	−7889.33	+	19046.5i	−0.304809	+	0.735874i
$876$	−3736.96	−	5594.56i	−0.144133	−	0.215779i
$877$	9750.86	−	4038.94i	0.375442	−	0.155513i	−0.186979	−	0.982364i	$-0.559870\pi$
$877$	9750.86	−	4038.94i	0.375442	−	0.155513i	0.562422	+	0.826850i	$0.309870\pi$
$878$	−40023.0	+	21388.9i	−1.53839	+	0.822142i
$879$		−	70058.4i		−	2.68829i
$880$	−44513.1	−	18453.4i	−1.70516	−	0.706893i
$881$		−	16390.5i		−	0.626800i	−0.949621	−	0.313400i	$-0.898532\pi$
$881$		−	16390.5i		−	0.626800i	0.949621	−	0.313400i	$-0.101468\pi$
$882$	3882.94	+	7265.78i	0.148238	+	0.277383i
$883$	4222.47	−	1749.01i	0.160926	−	0.0666577i	−0.300766	−	0.953698i	$-0.597242\pi$
$883$	4222.47	−	1749.01i	0.160926	−	0.0666577i	0.461692	+	0.887040i	$0.347242\pi$
$884$	−1019.80	+	5122.89i	−0.0388003	+	0.194911i
$885$	19843.2	−	47905.8i	0.753698	−	1.81959i
$886$	−4570.09	−	3751.15i	−0.173290	−	0.142237i
$887$	−34678.9	+	34678.9i	−1.31274	+	1.31274i	−0.393358	+	0.919386i	$0.628687\pi$
$887$	−34678.9	+	34678.9i	−1.31274	+	1.31274i	−0.919386	+	0.393358i	$0.871313\pi$
$888$	−19268.3	+	15805.9i	−0.728156	+	0.597310i
$889$	−4036.76	−	4036.76i	−0.152293	−	0.152293i
$890$	3141.13	+	31916.7i	0.118304	+	1.20208i
$891$	11349.6	+	4701.18i	0.426742	+	0.176762i
$892$	9673.90	+	6465.97i	0.363124	+	0.242709i
$893$	−6300.71	−	15211.3i	−0.236109	−	0.570017i
$894$	55756.0	+	16917.9i	2.08586	+	0.632908i
$895$	21718.6			0.811141
$896$	23225.5	−	7032.20i	0.865971	−	0.262198i
$897$	10782.5			0.401356
$898$	4791.83	+	1453.97i	0.178068	+	0.0540309i
$899$	2501.45	+	6039.03i	0.0928008	+	0.224041i
$900$	−7574.25	−	5062.58i	−0.280528	−	0.187503i
$901$	−27579.2	−	11423.7i	−1.01975	−	0.422395i
$902$	374.842	+	3808.74i	0.0138369	+	0.140595i
$903$	−23247.2	−	23247.2i	−0.856720	−	0.856720i
$904$	−25193.7	+	20666.5i	−0.926912	+	0.760351i
$905$	24218.0	−	24218.0i	0.889541	−	0.889541i
$906$	−5098.09	−	4184.53i	−0.186945	−	0.153445i
$907$	−6567.47	+	15855.3i	−0.240429	+	0.580447i	−0.997326	−	0.0730878i	$-0.976715\pi$
$907$	−6567.47	+	15855.3i	−0.240429	+	0.580447i	0.756897	+	0.653535i	$0.226715\pi$
$908$	−5345.65	+	26853.5i	−0.195376	+	0.981460i
$909$	−30837.7	+	12773.4i	−1.12522	+	0.466080i
$910$	4035.52	+	7551.28i	0.147007	+	0.275080i
$911$			21528.6i			0.782958i	0.920187	+	0.391479i	$0.128036\pi$
$911$			21528.6i			0.782958i	−0.920187	+	0.391479i	$0.871964\pi$
$912$	15162.2	−	36574.1i	0.550516	−	1.32795i
$913$		−	39697.7i		−	1.43899i
$914$	−27143.4	+	14505.9i	−0.982303	+	0.524958i
$915$	61373.9	−	25421.9i	2.21744	−	0.918495i
$916$	−27640.2	−	41379.8i	−0.997006	−	1.49261i
$917$	−7716.03	+	18628.1i	−0.277869	+	0.670834i
$918$	13501.3	−	16448.9i	0.485414	−	0.591389i
$919$	27666.0	−	27666.0i	0.993054	−	0.993054i	−0.00692164	−	0.999976i	$-0.502203\pi$
$919$	27666.0	−	27666.0i	0.993054	−	0.993054i	0.999976	+	0.00692164i	$0.00220324\pi$
$920$	20697.2	+	11068.8i	0.741703	+	0.396661i
$921$	21834.4	+	21834.4i	0.781181	+	0.781181i
$922$	−16121.6	+	1586.63i	−0.575852	+	0.0566732i
$923$	10632.4	+	4404.06i	0.379164	+	0.157055i
$924$	−13835.4	−	69609.2i	−0.492587	−	2.47833i
$925$	−1192.99	−	2880.13i	−0.0424057	−	0.102376i
$926$	10802.3	−	35600.9i	0.383354	−	1.26341i
$927$	−30965.9			−1.09715
$928$	5980.71	−	3193.90i	0.211559	−	0.112979i
$929$	42072.0			1.48583			0.742915	−	0.669386i	$-0.233443\pi$
$929$	42072.0			1.48583			0.742915	+	0.669386i	$0.233443\pi$
$930$	−15048.0	+	49593.4i	−0.530584	+	1.74863i
$931$	−1713.83	−	4137.55i	−0.0603314	−	0.145653i
$932$	16612.8	−	3301.93i	0.583874	−	0.116050i
$933$	−23981.8	−	9933.60i	−0.841511	−	0.348565i
$934$	23956.2	−	2357.68i	0.839261	−	0.0825971i
$935$	23513.8	+	23513.8i	0.822442	+	0.822442i
$936$	14990.3	−	4543.61i	0.523475	−	0.158667i
$937$	−17029.9	+	17029.9i	−0.593749	+	0.593749i	−0.938642	−	0.344893i	$-0.887915\pi$
$937$	−17029.9	+	17029.9i	−0.593749	+	0.593749i	0.344893	+	0.938642i	$0.387915\pi$
$938$	26135.1	−	31840.9i	0.909746	−	1.10836i
$939$	−34187.5	+	82535.8i	−1.18814	+	2.86843i
$940$	18589.2	−	12416.9i	0.645015	−	0.430846i
$941$	−50185.8	+	20787.6i	−1.73859	+	0.720146i	−0.739702	+	0.672934i	$0.765034\pi$
$941$	−50185.8	+	20787.6i	−1.73859	+	0.720146i	−0.998885	+	0.0472119i	$0.984966\pi$
$942$	−32065.0	+	17136.0i	−1.10906	+	0.592698i
$943$		−	1864.15i		−	0.0643745i
$944$	−9.39175	+	31607.4i	−0.000323809	+	1.08976i
$945$		−	34881.7i		−	1.20074i
$946$	−18756.1	−	35096.5i	−0.644623	−	1.20622i
$947$	−4647.70	+	1925.14i	−0.159483	+	0.0660599i	−0.460997	−	0.887402i	$-0.652508\pi$
$947$	−4647.70	+	1925.14i	−0.159483	+	0.0660599i	0.301514	+	0.953462i	$0.402508\pi$
$948$	−34983.9	−	6964.14i	−1.19855	−	0.238591i
$949$	−553.725	+	1336.81i	−0.0189407	+	0.0457268i
$950$	3828.15	+	3142.15i	0.130738	+	0.107310i
$951$	5105.19	−	5105.19i	0.174077	−	0.174077i
$952$	−16665.5	−	1645.16i	−0.567364	−	0.0560082i
$953$	−444.450	−	444.450i	−0.0151072	−	0.0151072i	0.699513	−	0.714620i	$-0.253400\pi$
$953$	−444.450	−	444.450i	−0.0151072	−	0.0151072i	−0.714620	+	0.699513i	$0.753400\pi$
$954$	8767.64	+	89087.2i	0.297550	+	3.02338i
$955$	42617.2	+	17652.6i	1.44404	+	0.598142i
$956$	4622.25	−	6915.46i	0.156375	−	0.233956i
$957$	−7588.29	−	18319.8i	−0.256316	−	0.618802i
$958$	42460.5	+	12883.7i	1.43198	+	0.434502i
$959$	2602.04			0.0876165
$960$	52719.2	+	10510.9i	1.77240	+	0.353374i
$961$	665.482			0.0223383
$962$	5128.99	+	1556.28i	0.171897	+	0.0521585i
$963$	11119.1	+	26844.0i	0.372076	+	0.898271i
$964$	−535.703	+	801.479i	−0.0178982	+	0.0267779i
$965$	−12627.7	−	5230.58i	−0.421244	−	0.174485i
$966$	3385.80	+	34402.8i	0.112771	+	1.14585i
$967$	30115.1	+	30115.1i	1.00148	+	1.00148i	0.999999	+	0.00148526i	$0.000472774\pi$
$967$	30115.1	+	30115.1i	1.00148	+	1.00148i	0.00148526	+	0.999999i	$0.499527\pi$
$968$	5480.39	−	55516.5i	0.181969	−	1.84336i
$969$	−19320.0	+	19320.0i	−0.640504	+	0.640504i
$970$	−10379.0	−	8519.15i	−0.343558	−	0.281993i
$971$	−2287.20	+	5521.79i	−0.0755919	+	0.182495i	−0.957158	−	0.289565i	$-0.906489\pi$
$971$	−2287.20	+	5521.79i	−0.0755919	+	0.182495i	0.881566	+	0.472060i	$0.156489\pi$
$972$	22646.4	+	4508.15i	0.747309	+	0.148764i
$973$	−8071.96	+	3343.52i	−0.265956	+	0.110163i
$974$	−25480.9	−	47679.9i	−0.838254	−	1.56854i
$975$			3089.13i			0.101468i
$976$	−28641.7	+	28624.7i	−0.939344	+	0.938785i
$977$		−	10157.2i		−	0.332608i	−0.986074	−	0.166304i	$-0.946817\pi$
$977$		−	10157.2i		−	0.332608i	0.986074	−	0.166304i	$-0.0531834\pi$
$978$	74574.0	−	39853.5i	2.43826	−	1.30304i
$979$	−52821.5	+	21879.4i	−1.72440	+	0.714268i
$980$	5056.38	−	3377.48i	0.164817	−	0.110092i
$981$	2280.34	−	5505.24i	0.0742159	−	0.179173i
$982$	−6323.37	+	7703.89i	−0.205486	+	0.250347i
$983$	3880.55	−	3880.55i	0.125911	−	0.125911i	−0.641343	−	0.767254i	$-0.721623\pi$
$983$	3880.55	−	3880.55i	0.125911	−	0.125911i	0.767254	+	0.641343i	$0.221623\pi$
$984$	−1238.47	−	4085.97i	−0.0401230	−	0.132374i
$985$	−37647.7	−	37647.7i	−1.21782	−	1.21782i
$986$	−4656.45	+	458.271i	−0.150397	+	0.0148015i
$987$	30418.7	+	12599.8i	0.980991	+	0.406340i
$988$	−8351.72	+	1659.97i	−0.268931	+	0.0534521i
$989$	7417.60	+	17907.7i	0.238489	+	0.575764i
$990$	28954.1	−	95423.3i	0.929516	−	3.06339i
$991$	15197.2			0.487139			0.243569	−	0.969884i	$-0.421682\pi$
$991$	15197.2			0.487139			0.243569	+	0.969884i	$0.421682\pi$
$992$	−3084.79	−	31440.1i	−0.0987321	−	1.00628i
$993$	8610.00			0.275156
$994$	−10713.1	+	35306.8i	−0.341849	+	1.12662i
$995$	−5134.61	−	12396.0i	−0.163596	−	0.394956i
$996$	8633.43	+	43436.9i	0.274659	+	1.38188i
$997$	−1293.68	−	535.861i	−0.0410946	−	0.0170219i	0.362041	−	0.932162i	$-0.382080\pi$
$997$	−1293.68	−	535.861i	−0.0410946	−	0.0170219i	−0.403136	+	0.915140i	$0.632080\pi$
$998$	−42508.9	+	4183.57i	−1.34829	+	0.132694i
$999$	−15440.7	−	15440.7i	−0.489010	−	0.489010i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	32.4.g.a.5.10	✓	44
4.3	odd	2		128.4.g.a.113.11		44
8.3	odd	2		256.4.g.a.225.1		44
8.5	even	2		256.4.g.b.225.11		44
32.3	odd	8		256.4.g.a.33.1		44
32.13	even	8	inner	32.4.g.a.13.10	yes	44
32.19	odd	8		128.4.g.a.17.11		44
32.29	even	8		256.4.g.b.33.11		44

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
32.4.g.a.5.10	✓	44	1.1	even	1	trivial
32.4.g.a.13.10	yes	44	32.13	even	8	inner
128.4.g.a.17.11		44	32.19	odd	8
128.4.g.a.113.11		44	4.3	odd	2
256.4.g.a.33.1		44	32.3	odd	8
256.4.g.a.225.1		44	8.3	odd	2
256.4.g.b.33.11		44	32.29	even	8
256.4.g.b.225.11		44	8.5	even	2

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 32 = 2^{5} \)
Weight:	\( k \)	\(=\)	\( 4 \)
Character orbit:	\([\chi]\)	\(=\)	32.g (of order \(8\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(2.70658 + 0.821250i) q^{2} +(-3.28810 - 7.93817i) q^{3} +(6.65110 + 4.44555i) q^{4} +(11.2895 + 4.67626i) q^{5} +(-2.38026 - 24.1856i) q^{6} +(-11.8490 - 11.8490i) q^{7} +(14.3508 + 17.4944i) q^{8} +(-33.1111 + 33.1111i) q^{9} +O(q^{10})\)	\(q+(2.70658 + 0.821250i) q^{2} +(-3.28810 - 7.93817i) q^{3} +(6.65110 + 4.44555i) q^{4} +(11.2895 + 4.67626i) q^{5} +(-2.38026 - 24.1856i) q^{6} +(-11.8490 - 11.8490i) q^{7} +(14.3508 + 17.4944i) q^{8} +(-33.1111 + 33.1111i) q^{9} +(26.7154 + 21.9281i) q^{10} +(-23.5791 + 56.9250i) q^{11} +(13.4201 - 67.4149i) q^{12} +(-13.6580 + 5.65734i) q^{13} +(-22.3392 - 41.8013i) q^{14} -104.994i q^{15} +(24.4742 + 59.1356i) q^{16} -44.1663i q^{17} +(-116.810 + 62.4251i) q^{18} +(66.5184 - 27.5528i) q^{19} +(54.2989 + 81.2902i) q^{20} +(-55.0988 + 133.020i) q^{21} +(-110.568 + 134.707i) q^{22} +(60.0240 - 60.0240i) q^{23} +(91.6870 - 171.442i) q^{24} +(17.1966 + 17.1966i) q^{25} +(-41.6126 + 4.09536i) q^{26} +(157.383 + 65.1901i) q^{27} +(-26.1336 - 131.484i) q^{28} +(-14.3335 - 34.6041i) q^{29} +(86.2261 - 284.174i) q^{30} -174.518 q^{31} +(17.6761 + 180.154i) q^{32} +529.411 q^{33} +(36.2716 - 119.539i) q^{34} +(-78.3602 - 189.178i) q^{35} +(-367.422 + 73.0280i) q^{36} +(-118.428 - 49.0545i) q^{37} +(202.665 - 19.9455i) q^{38} +(89.8179 + 89.8179i) q^{39} +(80.2045 + 264.611i) q^{40} +(15.5284 - 15.5284i) q^{41} +(-258.372 + 314.779i) q^{42} +(-87.3822 + 210.959i) q^{43} +(-409.890 + 273.792i) q^{44} +(-528.642 + 218.971i) q^{45} +(211.754 - 113.165i) q^{46} -228.677i q^{47} +(388.955 - 388.724i) q^{48} -62.2017i q^{49} +(32.4212 + 60.6667i) q^{50} +(-350.600 + 145.223i) q^{51} +(-115.991 - 23.0899i) q^{52} +(258.652 - 624.440i) q^{53} +(372.431 + 305.693i) q^{54} +(-532.392 + 532.392i) q^{55} +(37.2491 - 377.334i) q^{56} +(-437.438 - 437.438i) q^{57} +(-10.3760 - 105.430i) q^{58} +(456.272 + 188.994i) q^{59} +(466.755 - 698.324i) q^{60} +(242.128 + 584.548i) q^{61} +(-472.346 - 143.323i) q^{62} +784.667 q^{63} +(-100.110 + 502.117i) q^{64} -180.647 q^{65} +(1432.89 + 434.779i) q^{66} +(332.601 + 802.971i) q^{67} +(196.344 - 293.754i) q^{68} +(-673.845 - 279.116i) q^{69} +(-56.7251 - 576.378i) q^{70} +(-550.460 - 550.460i) q^{71} +(-1054.43 - 104.089i) q^{72} +(69.2096 - 69.2096i) q^{73} +(-280.248 - 230.029i) q^{74} +(79.9655 - 193.054i) q^{75} +(564.908 + 112.454i) q^{76} +(953.895 - 395.116i) q^{77} +(169.336 + 316.862i) q^{78} -518.934i q^{79} +(-0.232379 + 782.057i) q^{80} -199.379i q^{81} +(54.7814 - 29.2761i) q^{82} +(-595.241 + 246.557i) q^{83} +(-957.815 + 639.786i) q^{84} +(206.533 - 498.615i) q^{85} +(-409.757 + 499.215i) q^{86} +(-227.563 + 227.563i) q^{87} +(-1334.25 + 404.415i) q^{88} +(656.135 + 656.135i) q^{89} +(-1610.64 + 158.513i) q^{90} +(228.868 + 94.8003i) q^{91} +(666.065 - 132.386i) q^{92} +(573.832 + 1385.35i) q^{93} +(187.801 - 618.933i) q^{94} +879.802 q^{95} +(1371.97 - 732.680i) q^{96} -388.503 q^{97} +(51.0831 - 168.353i) q^{98} +(-1104.12 - 2665.58i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 44 q - 4 q^{2} - 4 q^{3} - 4 q^{4} - 4 q^{5} - 4 q^{6} - 4 q^{7} - 4 q^{8} - 4 q^{9}+O(q^{10}) \) 44 * q - 4 * q^2 - 4 * q^3 - 4 * q^4 - 4 * q^5 - 4 * q^6 - 4 * q^7 - 4 * q^8 - 4 * q^9	\( 44 q - 4 q^{2} - 4 q^{3} - 4 q^{4} - 4 q^{5} - 4 q^{6} - 4 q^{7} - 4 q^{8} - 4 q^{9} + 116 q^{10} - 4 q^{11} - 52 q^{12} - 4 q^{13} - 212 q^{14} - 304 q^{16} - 184 q^{18} - 4 q^{19} + 76 q^{20} - 4 q^{21} + 192 q^{22} + 324 q^{23} - 48 q^{24} - 4 q^{25} + 16 q^{26} - 268 q^{27} + 376 q^{28} - 4 q^{29} + 1188 q^{30} - 752 q^{31} + 616 q^{32} - 8 q^{33} + 528 q^{34} - 460 q^{35} + 1456 q^{36} - 4 q^{37} + 980 q^{38} + 596 q^{39} - 536 q^{40} - 4 q^{41} - 2264 q^{42} + 804 q^{43} - 2044 q^{44} + 104 q^{45} - 1444 q^{46} - 2448 q^{48} - 3564 q^{50} - 1384 q^{51} - 2524 q^{52} + 748 q^{53} - 1088 q^{54} - 292 q^{55} + 1192 q^{56} - 4 q^{57} + 3200 q^{58} + 1372 q^{59} + 5752 q^{60} - 1828 q^{61} + 3384 q^{62} + 2512 q^{63} + 4952 q^{64} - 8 q^{65} + 5996 q^{66} + 2036 q^{67} + 2768 q^{68} - 1060 q^{69} + 1400 q^{70} + 220 q^{71} - 1708 q^{72} - 4 q^{73} - 3476 q^{74} - 1712 q^{75} - 5124 q^{76} + 1900 q^{77} - 11916 q^{78} - 10312 q^{80} - 6404 q^{82} + 2436 q^{83} - 6560 q^{84} + 496 q^{85} - 928 q^{86} - 1292 q^{87} + 1248 q^{88} - 4 q^{89} + 7400 q^{90} - 3604 q^{91} + 10152 q^{92} - 112 q^{93} + 12840 q^{94} - 6088 q^{95} + 17792 q^{96} - 8 q^{97} + 11224 q^{98} - 5424 q^{99}+O(q^{100}) \) 44 * q - 4 * q^2 - 4 * q^3 - 4 * q^4 - 4 * q^5 - 4 * q^6 - 4 * q^7 - 4 * q^8 - 4 * q^9 + 116 * q^10 - 4 * q^11 - 52 * q^12 - 4 * q^13 - 212 * q^14 - 304 * q^16 - 184 * q^18 - 4 * q^19 + 76 * q^20 - 4 * q^21 + 192 * q^22 + 324 * q^23 - 48 * q^24 - 4 * q^25 + 16 * q^26 - 268 * q^27 + 376 * q^28 - 4 * q^29 + 1188 * q^30 - 752 * q^31 + 616 * q^32 - 8 * q^33 + 528 * q^34 - 460 * q^35 + 1456 * q^36 - 4 * q^37 + 980 * q^38 + 596 * q^39 - 536 * q^40 - 4 * q^41 - 2264 * q^42 + 804 * q^43 - 2044 * q^44 + 104 * q^45 - 1444 * q^46 - 2448 * q^48 - 3564 * q^50 - 1384 * q^51 - 2524 * q^52 + 748 * q^53 - 1088 * q^54 - 292 * q^55 + 1192 * q^56 - 4 * q^57 + 3200 * q^58 + 1372 * q^59 + 5752 * q^60 - 1828 * q^61 + 3384 * q^62 + 2512 * q^63 + 4952 * q^64 - 8 * q^65 + 5996 * q^66 + 2036 * q^67 + 2768 * q^68 - 1060 * q^69 + 1400 * q^70 + 220 * q^71 - 1708 * q^72 - 4 * q^73 - 3476 * q^74 - 1712 * q^75 - 5124 * q^76 + 1900 * q^77 - 11916 * q^78 - 10312 * q^80 - 6404 * q^82 + 2436 * q^83 - 6560 * q^84 + 496 * q^85 - 928 * q^86 - 1292 * q^87 + 1248 * q^88 - 4 * q^89 + 7400 * q^90 - 3604 * q^91 + 10152 * q^92 - 112 * q^93 + 12840 * q^94 - 6088 * q^95 + 17792 * q^96 - 8 * q^97 + 11224 * q^98 - 5424 * q^99

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