Properties

Label 462.2.bc.b.95.14
Level $462$
Weight $2$
Character 462.95
Analytic conductor $3.689$
Analytic rank $0$
Dimension $128$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 462 = 2 \cdot 3 \cdot 7 \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 462.bc (of order \(30\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.68908857338\)
Analytic rank: \(0\)
Dimension: \(128\)
Relative dimension: \(16\) over \(\Q(\zeta_{30})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label 95.14
Character \(\chi\) \(=\) 462.95
Dual form 462.2.bc.b.107.14

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.104528 + 0.994522i) q^{2} +(1.65546 + 0.509351i) q^{3} +(-0.978148 - 0.207912i) q^{4} +(-0.0756668 + 0.169950i) q^{5} +(-0.679604 + 1.59315i) q^{6} +(1.63703 + 2.07849i) q^{7} +(0.309017 - 0.951057i) q^{8} +(2.48112 + 1.68643i) q^{9} +O(q^{10})\) \(q+(-0.104528 + 0.994522i) q^{2} +(1.65546 + 0.509351i) q^{3} +(-0.978148 - 0.207912i) q^{4} +(-0.0756668 + 0.169950i) q^{5} +(-0.679604 + 1.59315i) q^{6} +(1.63703 + 2.07849i) q^{7} +(0.309017 - 0.951057i) q^{8} +(2.48112 + 1.68643i) q^{9} +(-0.161110 - 0.0930169i) q^{10} +(-1.90510 + 2.71488i) q^{11} +(-1.51339 - 0.842411i) q^{12} +(0.557091 - 0.766770i) q^{13} +(-2.23822 + 1.41080i) q^{14} +(-0.211828 + 0.242806i) q^{15} +(0.913545 + 0.406737i) q^{16} +(-0.846849 - 8.05723i) q^{17} +(-1.93654 + 2.29125i) q^{18} +(1.02248 + 4.81041i) q^{19} +(0.109348 - 0.150504i) q^{20} +(1.65136 + 4.27469i) q^{21} +(-2.50087 - 2.17845i) q^{22} +(-0.938796 + 0.542014i) q^{23} +(0.995988 - 1.41704i) q^{24} +(3.32250 + 3.69000i) q^{25} +(0.704338 + 0.634189i) q^{26} +(3.24843 + 4.05558i) q^{27} +(-1.16912 - 2.37343i) q^{28} +(0.413615 + 1.27298i) q^{29} +(-0.219334 - 0.236048i) q^{30} +(-4.24813 + 1.89139i) q^{31} +(-0.500000 + 0.866025i) q^{32} +(-4.53665 + 3.52403i) q^{33} +8.10161 q^{34} +(-0.477109 + 0.120941i) q^{35} +(-2.07628 - 2.16543i) q^{36} +(2.32721 - 2.58463i) q^{37} +(-4.89094 + 0.514059i) q^{38} +(1.31280 - 0.985605i) q^{39} +(0.138250 + 0.124481i) q^{40} +(-1.18944 + 3.66071i) q^{41} +(-4.42389 + 1.19549i) q^{42} -11.0307i q^{43} +(2.42792 - 2.25946i) q^{44} +(-0.474347 + 0.294061i) q^{45} +(-0.440914 - 0.990309i) q^{46} +(-0.589942 - 2.77546i) q^{47} +(1.30517 + 1.13865i) q^{48} +(-1.64025 + 6.80511i) q^{49} +(-4.01709 + 2.91858i) q^{50} +(2.70203 - 13.7698i) q^{51} +(-0.704338 + 0.634189i) q^{52} +(-2.35586 - 5.29135i) q^{53} +(-4.37292 + 2.80671i) q^{54} +(-0.317243 - 0.529199i) q^{55} +(2.48263 - 0.914621i) q^{56} +(-0.757504 + 8.48427i) q^{57} +(-1.30924 + 0.278287i) q^{58} +(0.705877 - 3.32089i) q^{59} +(0.257681 - 0.193458i) q^{60} +(5.92942 - 13.3177i) q^{61} +(-1.43698 - 4.42256i) q^{62} +(0.556455 + 7.91772i) q^{63} +(-0.809017 - 0.587785i) q^{64} +(0.0881596 + 0.152697i) q^{65} +(-3.03051 - 4.88016i) q^{66} +(0.0659471 - 0.114224i) q^{67} +(-0.846849 + 8.05723i) q^{68} +(-1.83022 + 0.419108i) q^{69} +(-0.0704074 - 0.487137i) q^{70} +(5.19792 + 7.15433i) q^{71} +(2.37060 - 1.83855i) q^{72} +(2.96575 - 13.9527i) q^{73} +(2.32721 + 2.58463i) q^{74} +(3.62076 + 7.80099i) q^{75} -4.91788i q^{76} +(-8.76157 + 0.484618i) q^{77} +(0.842981 + 1.40863i) q^{78} +(-12.4597 - 1.30956i) q^{79} +(-0.138250 + 0.124481i) q^{80} +(3.31194 + 8.36846i) q^{81} +(-3.51633 - 1.56557i) q^{82} +(-5.65811 + 4.11086i) q^{83} +(-0.726520 - 4.52462i) q^{84} +(1.43341 + 0.465742i) q^{85} +(10.9703 + 1.15303i) q^{86} +(0.0363326 + 2.31804i) q^{87} +(1.99330 + 2.65080i) q^{88} +(1.52736 - 0.881821i) q^{89} +(-0.242867 - 0.502486i) q^{90} +(2.50570 - 0.0973181i) q^{91} +(1.03097 - 0.334983i) q^{92} +(-7.99600 + 0.967336i) q^{93} +(2.82192 - 0.296596i) q^{94} +(-0.894899 - 0.190217i) q^{95} +(-1.26884 + 1.17900i) q^{96} +(7.39198 + 5.37059i) q^{97} +(-6.59638 - 2.34260i) q^{98} +(-9.30524 + 3.52315i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 128 q + 16 q^{2} + 16 q^{4} - 32 q^{8} + 16 q^{9} + O(q^{10}) \) \( 128 q + 16 q^{2} + 16 q^{4} - 32 q^{8} + 16 q^{9} - 6 q^{11} - 12 q^{15} + 16 q^{16} - 2 q^{17} - 4 q^{18} + 2 q^{22} - 12 q^{25} - 18 q^{27} - 5 q^{28} + 38 q^{29} + 6 q^{30} - 3 q^{31} - 64 q^{32} + 28 q^{33} - 16 q^{34} - 31 q^{35} + 8 q^{36} + 2 q^{37} - 2 q^{39} + 5 q^{40} + 16 q^{41} - 13 q^{42} - q^{44} + 28 q^{45} + 38 q^{49} + 34 q^{50} + 4 q^{51} + 25 q^{53} - 6 q^{54} - 42 q^{55} - 100 q^{57} - 19 q^{58} + 40 q^{59} - 4 q^{60} + 40 q^{61} - 4 q^{62} - 106 q^{63} - 32 q^{64} + 20 q^{65} - 7 q^{66} + 16 q^{67} - 2 q^{68} - 68 q^{69} - 21 q^{70} + 80 q^{71} - 4 q^{72} + 10 q^{73} + 2 q^{74} - 14 q^{75} + q^{77} - 16 q^{78} - 5 q^{80} + 32 q^{81} - 8 q^{82} - 92 q^{83} + 8 q^{84} - 100 q^{85} - 40 q^{86} - 38 q^{87} - q^{88} + 4 q^{90} + 12 q^{91} - 20 q^{92} - 33 q^{93} + 40 q^{94} + 38 q^{95} - 16 q^{97} + 18 q^{98} + 2 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/462\mathbb{Z}\right)^\times\).

\(n\) \(155\) \(199\) \(211\)
\(\chi(n)\) \(-1\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{7}{10}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.104528 + 0.994522i −0.0739128 + 0.703233i
\(3\) 1.65546 + 0.509351i 0.955783 + 0.294074i
\(4\) −0.978148 0.207912i −0.489074 0.103956i
\(5\) −0.0756668 + 0.169950i −0.0338392 + 0.0760041i −0.929674 0.368383i \(-0.879912\pi\)
0.895835 + 0.444387i \(0.146578\pi\)
\(6\) −0.679604 + 1.59315i −0.277447 + 0.650402i
\(7\) 1.63703 + 2.07849i 0.618740 + 0.785596i
\(8\) 0.309017 0.951057i 0.109254 0.336249i
\(9\) 2.48112 + 1.68643i 0.827041 + 0.562142i
\(10\) −0.161110 0.0930169i −0.0509475 0.0294145i
\(11\) −1.90510 + 2.71488i −0.574409 + 0.818568i
\(12\) −1.51339 0.842411i −0.436878 0.243183i
\(13\) 0.557091 0.766770i 0.154509 0.212664i −0.724744 0.689018i \(-0.758042\pi\)
0.879253 + 0.476354i \(0.158042\pi\)
\(14\) −2.23822 + 1.41080i −0.598190 + 0.377053i
\(15\) −0.211828 + 0.242806i −0.0546938 + 0.0626922i
\(16\) 0.913545 + 0.406737i 0.228386 + 0.101684i
\(17\) −0.846849 8.05723i −0.205391 1.95417i −0.288121 0.957594i \(-0.593031\pi\)
0.0827301 0.996572i \(-0.473636\pi\)
\(18\) −1.93654 + 2.29125i −0.456446 + 0.540053i
\(19\) 1.02248 + 4.81041i 0.234574 + 1.10358i 0.924937 + 0.380121i \(0.124118\pi\)
−0.690363 + 0.723464i \(0.742549\pi\)
\(20\) 0.109348 0.150504i 0.0244509 0.0336538i
\(21\) 1.65136 + 4.27469i 0.360357 + 0.932814i
\(22\) −2.50087 2.17845i −0.533188 0.464446i
\(23\) −0.938796 + 0.542014i −0.195753 + 0.113018i −0.594673 0.803968i \(-0.702718\pi\)
0.398920 + 0.916986i \(0.369385\pi\)
\(24\) 0.995988 1.41704i 0.203305 0.289252i
\(25\) 3.32250 + 3.69000i 0.664499 + 0.738001i
\(26\) 0.704338 + 0.634189i 0.138132 + 0.124375i
\(27\) 3.24843 + 4.05558i 0.625160 + 0.780497i
\(28\) −1.16912 2.37343i −0.220942 0.448536i
\(29\) 0.413615 + 1.27298i 0.0768063 + 0.236386i 0.982087 0.188429i \(-0.0603394\pi\)
−0.905281 + 0.424814i \(0.860339\pi\)
\(30\) −0.219334 0.236048i −0.0400446 0.0430962i
\(31\) −4.24813 + 1.89139i −0.762986 + 0.339703i −0.751067 0.660226i \(-0.770461\pi\)
−0.0119190 + 0.999929i \(0.503794\pi\)
\(32\) −0.500000 + 0.866025i −0.0883883 + 0.153093i
\(33\) −4.53665 + 3.52403i −0.789730 + 0.613454i
\(34\) 8.10161 1.38942
\(35\) −0.477109 + 0.120941i −0.0806462 + 0.0204428i
\(36\) −2.07628 2.16543i −0.346046 0.360905i
\(37\) 2.32721 2.58463i 0.382592 0.424911i −0.520833 0.853659i \(-0.674378\pi\)
0.903424 + 0.428748i \(0.141045\pi\)
\(38\) −4.89094 + 0.514059i −0.793415 + 0.0833913i
\(39\) 1.31280 0.985605i 0.210216 0.157823i
\(40\) 0.138250 + 0.124481i 0.0218593 + 0.0196822i
\(41\) −1.18944 + 3.66071i −0.185759 + 0.571707i −0.999961 0.00887490i \(-0.997175\pi\)
0.814202 + 0.580582i \(0.197175\pi\)
\(42\) −4.42389 + 1.19549i −0.682621 + 0.184468i
\(43\) 11.0307i 1.68217i −0.540902 0.841085i \(-0.681917\pi\)
0.540902 0.841085i \(-0.318083\pi\)
\(44\) 2.42792 2.25946i 0.366023 0.340627i
\(45\) −0.474347 + 0.294061i −0.0707115 + 0.0438361i
\(46\) −0.440914 0.990309i −0.0650092 0.146013i
\(47\) −0.589942 2.77546i −0.0860519 0.404842i 0.913948 0.405832i \(-0.133018\pi\)
−1.00000 0.000989776i \(0.999685\pi\)
\(48\) 1.30517 + 1.13865i 0.188385 + 0.164350i
\(49\) −1.64025 + 6.80511i −0.234322 + 0.972159i
\(50\) −4.01709 + 2.91858i −0.568102 + 0.412750i
\(51\) 2.70203 13.7698i 0.378360 1.92816i
\(52\) −0.704338 + 0.634189i −0.0976741 + 0.0879461i
\(53\) −2.35586 5.29135i −0.323602 0.726822i 0.676350 0.736580i \(-0.263561\pi\)
−0.999952 + 0.00975796i \(0.996894\pi\)
\(54\) −4.37292 + 2.80671i −0.595079 + 0.381944i
\(55\) −0.317243 0.529199i −0.0427770 0.0713572i
\(56\) 2.48263 0.914621i 0.331756 0.122221i
\(57\) −0.757504 + 8.48427i −0.100334 + 1.12377i
\(58\) −1.30924 + 0.278287i −0.171911 + 0.0365409i
\(59\) 0.705877 3.32089i 0.0918974 0.432343i −0.908013 0.418942i \(-0.862401\pi\)
0.999910 0.0134009i \(-0.00426577\pi\)
\(60\) 0.257681 0.193458i 0.0332665 0.0249754i
\(61\) 5.92942 13.3177i 0.759185 1.70516i 0.0514538 0.998675i \(-0.483615\pi\)
0.707731 0.706482i \(-0.249719\pi\)
\(62\) −1.43698 4.42256i −0.182496 0.561666i
\(63\) 0.556455 + 7.91772i 0.0701067 + 0.997539i
\(64\) −0.809017 0.587785i −0.101127 0.0734732i
\(65\) 0.0881596 + 0.152697i 0.0109348 + 0.0189397i
\(66\) −3.03051 4.88016i −0.373030 0.600707i
\(67\) 0.0659471 0.114224i 0.00805672 0.0139547i −0.861969 0.506961i \(-0.830769\pi\)
0.870026 + 0.493006i \(0.164102\pi\)
\(68\) −0.846849 + 8.05723i −0.102696 + 0.977083i
\(69\) −1.83022 + 0.419108i −0.220332 + 0.0504547i
\(70\) −0.0704074 0.487137i −0.00841529 0.0582240i
\(71\) 5.19792 + 7.15433i 0.616880 + 0.849063i 0.997121 0.0758247i \(-0.0241589\pi\)
−0.380241 + 0.924887i \(0.624159\pi\)
\(72\) 2.37060 1.83855i 0.279377 0.216676i
\(73\) 2.96575 13.9527i 0.347115 1.63305i −0.365018 0.931000i \(-0.618937\pi\)
0.712133 0.702045i \(-0.247729\pi\)
\(74\) 2.32721 + 2.58463i 0.270533 + 0.300457i
\(75\) 3.62076 + 7.80099i 0.418090 + 0.900781i
\(76\) 4.91788i 0.564120i
\(77\) −8.76157 + 0.484618i −0.998474 + 0.0552273i
\(78\) 0.842981 + 1.40863i 0.0954488 + 0.159496i
\(79\) −12.4597 1.30956i −1.40182 0.147337i −0.626755 0.779217i \(-0.715617\pi\)
−0.775067 + 0.631879i \(0.782284\pi\)
\(80\) −0.138250 + 0.124481i −0.0154568 + 0.0139174i
\(81\) 3.31194 + 8.36846i 0.367993 + 0.929829i
\(82\) −3.51633 1.56557i −0.388314 0.172888i
\(83\) −5.65811 + 4.11086i −0.621058 + 0.451225i −0.853291 0.521435i \(-0.825397\pi\)
0.232233 + 0.972660i \(0.425397\pi\)
\(84\) −0.726520 4.52462i −0.0792698 0.493676i
\(85\) 1.43341 + 0.465742i 0.155475 + 0.0505169i
\(86\) 10.9703 + 1.15303i 1.18296 + 0.124334i
\(87\) 0.0363326 + 2.31804i 0.00389527 + 0.248520i
\(88\) 1.99330 + 2.65080i 0.212486 + 0.282577i
\(89\) 1.52736 0.881821i 0.161900 0.0934729i −0.416861 0.908970i \(-0.636870\pi\)
0.578761 + 0.815497i \(0.303536\pi\)
\(90\) −0.242867 0.502486i −0.0256005 0.0529667i
\(91\) 2.50570 0.0973181i 0.262669 0.0102017i
\(92\) 1.03097 0.334983i 0.107486 0.0349244i
\(93\) −7.99600 + 0.967336i −0.829147 + 0.100308i
\(94\) 2.82192 0.296596i 0.291059 0.0305915i
\(95\) −0.894899 0.190217i −0.0918147 0.0195158i
\(96\) −1.26884 + 1.17900i −0.129501 + 0.120331i
\(97\) 7.39198 + 5.37059i 0.750542 + 0.545301i 0.895995 0.444064i \(-0.146464\pi\)
−0.145453 + 0.989365i \(0.546464\pi\)
\(98\) −6.59638 2.34260i −0.666335 0.236638i
\(99\) −9.30524 + 3.52315i −0.935211 + 0.354090i
\(100\) −2.48270 4.30016i −0.248270 0.430016i
\(101\) 8.42077 3.74917i 0.837898 0.373056i 0.0575045 0.998345i \(-0.481686\pi\)
0.780393 + 0.625289i \(0.215019\pi\)
\(102\) 13.4119 + 4.12657i 1.32798 + 0.408591i
\(103\) 7.37362 8.18923i 0.726544 0.806909i −0.260818 0.965388i \(-0.583992\pi\)
0.987362 + 0.158479i \(0.0506590\pi\)
\(104\) −0.557091 0.766770i −0.0546273 0.0751880i
\(105\) −0.851439 0.0428021i −0.0830919 0.00417706i
\(106\) 5.50861 1.78986i 0.535044 0.173846i
\(107\) 16.7964 3.57019i 1.62377 0.345143i 0.695927 0.718113i \(-0.254994\pi\)
0.927844 + 0.372970i \(0.121660\pi\)
\(108\) −2.33424 4.64234i −0.224612 0.446710i
\(109\) −12.9826 7.49549i −1.24351 0.717938i −0.273699 0.961815i \(-0.588247\pi\)
−0.969806 + 0.243877i \(0.921581\pi\)
\(110\) 0.559461 0.260188i 0.0533425 0.0248080i
\(111\) 5.16910 3.09340i 0.490630 0.293612i
\(112\) 0.650104 + 2.56464i 0.0614291 + 0.242335i
\(113\) 6.78724 + 2.20531i 0.638490 + 0.207458i 0.610332 0.792145i \(-0.291036\pi\)
0.0281578 + 0.999603i \(0.491036\pi\)
\(114\) −8.35861 1.64020i −0.782856 0.153619i
\(115\) −0.0210798 0.200561i −0.00196570 0.0187024i
\(116\) −0.139910 1.33115i −0.0129903 0.123594i
\(117\) 2.67531 0.962958i 0.247333 0.0890255i
\(118\) 3.22892 + 1.04914i 0.297246 + 0.0965810i
\(119\) 15.3606 14.9501i 1.40810 1.37047i
\(120\) 0.165463 + 0.276492i 0.0151047 + 0.0252401i
\(121\) −3.74119 10.3442i −0.340108 0.940386i
\(122\) 12.6250 + 7.28902i 1.14301 + 0.659917i
\(123\) −3.83366 + 5.45434i −0.345670 + 0.491801i
\(124\) 4.54854 0.966822i 0.408471 0.0868231i
\(125\) −1.76316 + 0.572886i −0.157702 + 0.0512405i
\(126\) −7.93252 0.274221i −0.706685 0.0244295i
\(127\) 1.03011 + 1.41783i 0.0914077 + 0.125812i 0.852271 0.523100i \(-0.175224\pi\)
−0.760864 + 0.648912i \(0.775224\pi\)
\(128\) 0.669131 0.743145i 0.0591433 0.0656853i
\(129\) 5.61852 18.2610i 0.494683 1.60779i
\(130\) −0.161076 + 0.0717154i −0.0141273 + 0.00628986i
\(131\) −3.60622 6.24616i −0.315077 0.545729i 0.664377 0.747398i \(-0.268697\pi\)
−0.979454 + 0.201668i \(0.935364\pi\)
\(132\) 5.17020 2.50380i 0.450008 0.217927i
\(133\) −8.32456 + 10.0000i −0.721831 + 0.867112i
\(134\) 0.106705 + 0.0775255i 0.00921788 + 0.00669718i
\(135\) −0.935045 + 0.245198i −0.0804759 + 0.0211033i
\(136\) −7.92457 1.68442i −0.679527 0.144438i
\(137\) −9.49700 + 0.998175i −0.811383 + 0.0852798i −0.501128 0.865373i \(-0.667081\pi\)
−0.310256 + 0.950653i \(0.600415\pi\)
\(138\) −0.225502 1.86400i −0.0191960 0.158674i
\(139\) 5.10004 1.65710i 0.432580 0.140554i −0.0846300 0.996412i \(-0.526971\pi\)
0.517209 + 0.855859i \(0.326971\pi\)
\(140\) 0.491828 0.0191020i 0.0415671 0.00161441i
\(141\) 0.437056 4.89516i 0.0368068 0.412247i
\(142\) −7.65847 + 4.42162i −0.642684 + 0.371054i
\(143\) 1.02038 + 2.97321i 0.0853283 + 0.248632i
\(144\) 1.58069 + 2.54979i 0.131724 + 0.212482i
\(145\) −0.247639 0.0260280i −0.0205653 0.00216150i
\(146\) 13.5663 + 4.40796i 1.12276 + 0.364805i
\(147\) −6.18157 + 10.4302i −0.509848 + 0.860265i
\(148\) −2.81373 + 2.04430i −0.231287 + 0.168040i
\(149\) −12.2038 5.43347i −0.999772 0.445127i −0.159445 0.987207i \(-0.550970\pi\)
−0.840327 + 0.542080i \(0.817637\pi\)
\(150\) −8.13673 + 2.78550i −0.664361 + 0.227435i
\(151\) −0.517635 + 0.466080i −0.0421245 + 0.0379291i −0.689924 0.723882i \(-0.742356\pi\)
0.647800 + 0.761811i \(0.275689\pi\)
\(152\) 4.89094 + 0.514059i 0.396708 + 0.0416957i
\(153\) 11.4868 21.4191i 0.928652 1.73163i
\(154\) 0.433871 8.76423i 0.0349623 0.706242i
\(155\) 0.865086i 0.0694854i
\(156\) −1.48903 + 0.691121i −0.119218 + 0.0553340i
\(157\) −1.78002 1.97691i −0.142061 0.157774i 0.667916 0.744237i \(-0.267187\pi\)
−0.809976 + 0.586463i \(0.800520\pi\)
\(158\) 2.60478 12.2545i 0.207225 0.974917i
\(159\) −1.20489 9.95959i −0.0955536 0.789847i
\(160\) −0.109348 0.150504i −0.00864471 0.0118984i
\(161\) −2.66341 1.06399i −0.209906 0.0838538i
\(162\) −8.66881 + 2.41905i −0.681086 + 0.190059i
\(163\) −0.557582 + 5.30503i −0.0436732 + 0.415522i 0.950742 + 0.309983i \(0.100323\pi\)
−0.994415 + 0.105539i \(0.966343\pi\)
\(164\) 1.92455 3.33342i 0.150282 0.260296i
\(165\) −0.255636 1.03766i −0.0199012 0.0807815i
\(166\) −3.49690 6.05681i −0.271412 0.470100i
\(167\) 12.9631 + 9.41822i 1.00311 + 0.728804i 0.962753 0.270381i \(-0.0871498\pi\)
0.0403593 + 0.999185i \(0.487150\pi\)
\(168\) 4.57577 0.249589i 0.353029 0.0192562i
\(169\) 3.73963 + 11.5094i 0.287664 + 0.885339i
\(170\) −0.613023 + 1.37687i −0.0470167 + 0.105601i
\(171\) −5.57550 + 13.6596i −0.426369 + 1.04457i
\(172\) −2.29342 + 10.7897i −0.174871 + 0.822706i
\(173\) −18.9964 + 4.03780i −1.44427 + 0.306988i −0.862372 0.506276i \(-0.831022\pi\)
−0.581895 + 0.813264i \(0.697689\pi\)
\(174\) −2.30914 0.206168i −0.175055 0.0156295i
\(175\) −2.23061 + 12.9464i −0.168618 + 0.978658i
\(176\) −2.84464 + 1.70530i −0.214423 + 0.128542i
\(177\) 2.86006 5.13808i 0.214975 0.386202i
\(178\) 0.717338 + 1.61117i 0.0537668 + 0.120762i
\(179\) −8.79765 + 7.92144i −0.657567 + 0.592076i −0.928865 0.370420i \(-0.879214\pi\)
0.271298 + 0.962496i \(0.412547\pi\)
\(180\) 0.525120 0.189013i 0.0391401 0.0140882i
\(181\) 5.65813 4.11087i 0.420565 0.305559i −0.357300 0.933990i \(-0.616303\pi\)
0.777865 + 0.628431i \(0.216303\pi\)
\(182\) −0.165132 + 2.50215i −0.0122404 + 0.185471i
\(183\) 16.5993 19.0268i 1.22706 1.40650i
\(184\) 0.225382 + 1.06034i 0.0166154 + 0.0781693i
\(185\) 0.263166 + 0.591081i 0.0193484 + 0.0434572i
\(186\) −0.126227 8.05332i −0.00925538 0.590498i
\(187\) 23.4878 + 13.0507i 1.71760 + 0.954364i
\(188\) 2.83747i 0.206943i
\(189\) −3.11171 + 13.3909i −0.226344 + 0.974047i
\(190\) 0.282717 0.870114i 0.0205105 0.0631247i
\(191\) −8.11838 7.30982i −0.587425 0.528920i 0.320939 0.947100i \(-0.396002\pi\)
−0.908364 + 0.418180i \(0.862668\pi\)
\(192\) −1.03991 1.38513i −0.0750490 0.0999632i
\(193\) −18.1295 + 1.90548i −1.30499 + 0.137160i −0.731379 0.681971i \(-0.761123\pi\)
−0.573607 + 0.819130i \(0.694456\pi\)
\(194\) −6.11384 + 6.79011i −0.438948 + 0.487501i
\(195\) 0.0681686 + 0.297688i 0.00488166 + 0.0213179i
\(196\) 3.01927 6.31538i 0.215662 0.451098i
\(197\) −24.1037 −1.71731 −0.858657 0.512550i \(-0.828701\pi\)
−0.858657 + 0.512550i \(0.828701\pi\)
\(198\) −2.53119 9.62253i −0.179884 0.683843i
\(199\) 2.84621 4.92977i 0.201762 0.349462i −0.747334 0.664448i \(-0.768667\pi\)
0.949096 + 0.314986i \(0.102000\pi\)
\(200\) 4.53611 2.01961i 0.320751 0.142808i
\(201\) 0.167353 0.155503i 0.0118042 0.0109683i
\(202\) 2.84842 + 8.76653i 0.200414 + 0.616811i
\(203\) −1.96877 + 2.94360i −0.138180 + 0.206600i
\(204\) −5.50589 + 12.9071i −0.385489 + 0.903679i
\(205\) −0.532138 0.479140i −0.0371662 0.0334646i
\(206\) 7.37362 + 8.18923i 0.513744 + 0.570571i
\(207\) −3.24334 0.238406i −0.225427 0.0165704i
\(208\) 0.820802 0.473890i 0.0569124 0.0328584i
\(209\) −15.0077 6.38839i −1.03810 0.441894i
\(210\) 0.131567 0.842300i 0.00907900 0.0581243i
\(211\) 1.37246 1.88903i 0.0944839 0.130046i −0.759158 0.650907i \(-0.774389\pi\)
0.853642 + 0.520861i \(0.174389\pi\)
\(212\) 1.20424 + 5.66553i 0.0827079 + 0.389110i
\(213\) 4.96091 + 14.4913i 0.339916 + 0.992928i
\(214\) 1.79493 + 17.0776i 0.122699 + 1.16740i
\(215\) 1.87468 + 0.834660i 0.127852 + 0.0569233i
\(216\) 4.86090 1.83619i 0.330743 0.124937i
\(217\) −10.8856 5.73343i −0.738960 0.389211i
\(218\) 8.81148 12.1280i 0.596789 0.821409i
\(219\) 12.0165 21.5877i 0.812002 1.45876i
\(220\) 0.200284 + 0.583593i 0.0135031 + 0.0393458i
\(221\) −6.64982 3.83927i −0.447315 0.258258i
\(222\) 2.53613 + 5.46413i 0.170214 + 0.366729i
\(223\) −2.68030 + 8.24911i −0.179486 + 0.552401i −0.999810 0.0194982i \(-0.993793\pi\)
0.820324 + 0.571899i \(0.193793\pi\)
\(224\) −2.61854 + 0.378465i −0.174959 + 0.0252873i
\(225\) 2.02060 + 14.7585i 0.134707 + 0.983900i
\(226\) −2.90269 + 6.51954i −0.193084 + 0.433674i
\(227\) 21.8962 + 4.65419i 1.45330 + 0.308909i 0.865832 0.500335i \(-0.166790\pi\)
0.587472 + 0.809244i \(0.300123\pi\)
\(228\) 2.50493 8.14138i 0.165893 0.539176i
\(229\) −1.79470 + 17.0755i −0.118597 + 1.12838i 0.759703 + 0.650270i \(0.225344\pi\)
−0.878301 + 0.478109i \(0.841322\pi\)
\(230\) 0.201666 0.0132975
\(231\) −14.7513 3.66045i −0.970565 0.240840i
\(232\) 1.33849 0.0878759
\(233\) −1.39522 + 13.2746i −0.0914036 + 0.869647i 0.848727 + 0.528832i \(0.177370\pi\)
−0.940130 + 0.340815i \(0.889297\pi\)
\(234\) 0.678036 + 2.76131i 0.0443246 + 0.180513i
\(235\) 0.516329 + 0.109749i 0.0336816 + 0.00715925i
\(236\) −1.38090 + 3.10156i −0.0898892 + 0.201895i
\(237\) −19.9595 8.51428i −1.29651 0.553062i
\(238\) 13.2626 + 16.8391i 0.859687 + 1.09152i
\(239\) −6.91610 + 21.2856i −0.447365 + 1.37685i 0.432504 + 0.901632i \(0.357630\pi\)
−0.879869 + 0.475217i \(0.842370\pi\)
\(240\) −0.292272 + 0.135656i −0.0188661 + 0.00875654i
\(241\) 15.7983 + 9.12117i 1.01766 + 0.587546i 0.913425 0.407007i \(-0.133427\pi\)
0.104234 + 0.994553i \(0.466761\pi\)
\(242\) 10.6786 2.63943i 0.686449 0.169669i
\(243\) 1.22031 + 15.5406i 0.0782827 + 0.996931i
\(244\) −8.56876 + 11.7939i −0.548559 + 0.755026i
\(245\) −1.03242 0.793682i −0.0659588 0.0507065i
\(246\) −5.02373 4.38279i −0.320301 0.279437i
\(247\) 4.25810 + 1.89583i 0.270936 + 0.120629i
\(248\) 0.486074 + 4.62468i 0.0308657 + 0.293668i
\(249\) −11.4607 + 3.92341i −0.726290 + 0.248636i
\(250\) −0.385447 1.81339i −0.0243778 0.114689i
\(251\) 6.49573 8.94061i 0.410007 0.564326i −0.553213 0.833040i \(-0.686598\pi\)
0.963220 + 0.268713i \(0.0865985\pi\)
\(252\) 1.10189 7.86040i 0.0694127 0.495158i
\(253\) 0.316995 3.58131i 0.0199293 0.225155i
\(254\) −1.51774 + 0.876266i −0.0952313 + 0.0549818i
\(255\) 2.13573 + 1.50113i 0.133744 + 0.0940043i
\(256\) 0.669131 + 0.743145i 0.0418207 + 0.0464466i
\(257\) 9.59065 + 8.63546i 0.598248 + 0.538665i 0.911656 0.410953i \(-0.134804\pi\)
−0.313408 + 0.949619i \(0.601471\pi\)
\(258\) 17.5736 + 7.49653i 1.09409 + 0.466714i
\(259\) 9.18186 + 0.605968i 0.570533 + 0.0376530i
\(260\) −0.0544856 0.167689i −0.00337905 0.0103997i
\(261\) −1.12055 + 3.85594i −0.0693603 + 0.238677i
\(262\) 6.58889 2.93356i 0.407063 0.181236i
\(263\) −11.5982 + 20.0886i −0.715174 + 1.23872i 0.247718 + 0.968832i \(0.420319\pi\)
−0.962892 + 0.269886i \(0.913014\pi\)
\(264\) 1.94965 + 5.40360i 0.119992 + 0.332569i
\(265\) 1.07753 0.0661919
\(266\) −9.07509 9.32425i −0.556430 0.571706i
\(267\) 2.97764 0.681861i 0.182229 0.0417292i
\(268\) −0.0882545 + 0.0980165i −0.00539100 + 0.00598731i
\(269\) −12.2454 + 1.28705i −0.746617 + 0.0784726i −0.470194 0.882563i \(-0.655816\pi\)
−0.276423 + 0.961036i \(0.589149\pi\)
\(270\) −0.146116 0.955553i −0.00889236 0.0581531i
\(271\) −17.2056 15.4920i −1.04516 0.941070i −0.0468380 0.998903i \(-0.514914\pi\)
−0.998326 + 0.0578324i \(0.981581\pi\)
\(272\) 2.50354 7.70509i 0.151799 0.467190i
\(273\) 4.19767 + 1.11518i 0.254054 + 0.0674935i
\(274\) 9.54931i 0.576895i
\(275\) −16.3476 + 1.99036i −0.985799 + 0.120023i
\(276\) 1.87736 0.0294255i 0.113004 0.00177121i
\(277\) −5.39464 12.1166i −0.324133 0.728014i 0.675826 0.737061i \(-0.263787\pi\)
−0.999959 + 0.00904683i \(0.997120\pi\)
\(278\) 1.11493 + 5.24531i 0.0668688 + 0.314593i
\(279\) −13.7298 2.47139i −0.821982 0.147958i
\(280\) −0.0324128 + 0.491131i −0.00193703 + 0.0293507i
\(281\) 9.80903 7.12668i 0.585158 0.425142i −0.255422 0.966830i \(-0.582214\pi\)
0.840580 + 0.541688i \(0.182214\pi\)
\(282\) 4.82266 + 0.946346i 0.287185 + 0.0563541i
\(283\) −14.5634 + 13.1129i −0.865704 + 0.779484i −0.976761 0.214330i \(-0.931243\pi\)
0.111057 + 0.993814i \(0.464576\pi\)
\(284\) −3.59687 8.07870i −0.213435 0.479383i
\(285\) −1.38459 0.770715i −0.0820158 0.0456532i
\(286\) −3.06358 + 0.704003i −0.181153 + 0.0416286i
\(287\) −9.55591 + 3.52047i −0.564067 + 0.207807i
\(288\) −2.70105 + 1.30550i −0.159161 + 0.0769274i
\(289\) −47.5733 + 10.1120i −2.79843 + 0.594825i
\(290\) 0.0517708 0.243562i 0.00304008 0.0143025i
\(291\) 9.50164 + 12.6559i 0.556996 + 0.741904i
\(292\) −5.80188 + 13.0312i −0.339529 + 0.762595i
\(293\) −5.72859 17.6308i −0.334668 1.03000i −0.966885 0.255211i \(-0.917855\pi\)
0.632217 0.774791i \(-0.282145\pi\)
\(294\) −9.72687 7.23796i −0.567282 0.422126i
\(295\) 0.510975 + 0.371245i 0.0297501 + 0.0216147i
\(296\) −1.73898 3.01201i −0.101076 0.175069i
\(297\) −17.1990 + 1.09281i −0.997987 + 0.0634114i
\(298\) 6.67935 11.5690i 0.386924 0.670172i
\(299\) −0.107395 + 1.02179i −0.00621080 + 0.0590918i
\(300\) −1.91972 8.38332i −0.110835 0.484011i
\(301\) 22.9273 18.0577i 1.32151 1.04083i
\(302\) −0.409420 0.563518i −0.0235594 0.0324268i
\(303\) 15.8499 1.91748i 0.910554 0.110156i
\(304\) −1.02248 + 4.81041i −0.0586435 + 0.275896i
\(305\) 1.81469 + 2.01541i 0.103909 + 0.115402i
\(306\) 20.1011 + 13.6628i 1.14910 + 0.781049i
\(307\) 13.5211i 0.771687i 0.922564 + 0.385844i \(0.126090\pi\)
−0.922564 + 0.385844i \(0.873910\pi\)
\(308\) 8.67087 + 1.34761i 0.494069 + 0.0767870i
\(309\) 16.3780 9.80122i 0.931709 0.557572i
\(310\) 0.860347 + 0.0904261i 0.0488644 + 0.00513586i
\(311\) 5.26865 4.74391i 0.298758 0.269003i −0.506094 0.862478i \(-0.668911\pi\)
0.804852 + 0.593476i \(0.202245\pi\)
\(312\) −0.531689 1.55312i −0.0301010 0.0879279i
\(313\) 17.8652 + 7.95408i 1.00980 + 0.449591i 0.843871 0.536547i \(-0.180271\pi\)
0.165928 + 0.986138i \(0.446938\pi\)
\(314\) 2.15214 1.56362i 0.121452 0.0882403i
\(315\) −1.38772 0.504539i −0.0781894 0.0284275i
\(316\) 11.9151 + 3.87145i 0.670277 + 0.217786i
\(317\) −18.0462 1.89673i −1.01358 0.106531i −0.416850 0.908975i \(-0.636866\pi\)
−0.596727 + 0.802444i \(0.703533\pi\)
\(318\) 10.0310 0.157224i 0.562509 0.00881669i
\(319\) −4.24396 1.30223i −0.237616 0.0729108i
\(320\) 0.161110 0.0930169i 0.00900632 0.00519980i
\(321\) 29.6243 + 2.64496i 1.65347 + 0.147627i
\(322\) 1.33656 2.53760i 0.0744835 0.141415i
\(323\) 37.8927 12.3121i 2.10841 0.685063i
\(324\) −1.49966 8.87418i −0.0833146 0.493010i
\(325\) 4.68032 0.491921i 0.259617 0.0272869i
\(326\) −5.21769 1.10905i −0.288981 0.0614248i
\(327\) −17.6743 19.0212i −0.977394 1.05188i
\(328\) 3.11399 + 2.26244i 0.171941 + 0.124923i
\(329\) 4.80302 5.76971i 0.264799 0.318094i
\(330\) 1.05869 0.145771i 0.0582792 0.00802440i
\(331\) 6.63676 + 11.4952i 0.364789 + 0.631834i 0.988742 0.149628i \(-0.0478077\pi\)
−0.623953 + 0.781462i \(0.714474\pi\)
\(332\) 6.38916 2.84464i 0.350651 0.156120i
\(333\) 10.1329 2.48812i 0.555279 0.136348i
\(334\) −10.7216 + 11.9076i −0.586662 + 0.651554i
\(335\) 0.0144224 + 0.0198507i 0.000787978 + 0.00108456i
\(336\) −0.230077 + 4.57680i −0.0125517 + 0.249685i
\(337\) 7.44549 2.41919i 0.405582 0.131781i −0.0991196 0.995076i \(-0.531603\pi\)
0.504701 + 0.863294i \(0.331603\pi\)
\(338\) −11.8373 + 2.51609i −0.643862 + 0.136857i
\(339\) 10.1128 + 7.10790i 0.549250 + 0.386048i
\(340\) −1.30525 0.753587i −0.0707872 0.0408690i
\(341\) 2.95821 15.1365i 0.160196 0.819685i
\(342\) −13.0019 6.97277i −0.703065 0.377044i
\(343\) −16.8295 + 7.73094i −0.908708 + 0.417431i
\(344\) −10.4908 3.40868i −0.565629 0.183784i
\(345\) 0.0672592 0.342759i 0.00362111 0.0184535i
\(346\) −2.03002 19.3144i −0.109135 1.03835i
\(347\) −1.48856 14.1627i −0.0799101 0.760294i −0.958956 0.283556i \(-0.908486\pi\)
0.879046 0.476738i \(-0.158181\pi\)
\(348\) 0.446409 2.27494i 0.0239300 0.121950i
\(349\) 6.82596 + 2.21789i 0.365385 + 0.118721i 0.485955 0.873984i \(-0.338472\pi\)
−0.120569 + 0.992705i \(0.538472\pi\)
\(350\) −12.6423 3.57166i −0.675762 0.190913i
\(351\) 4.91937 0.231468i 0.262576 0.0123548i
\(352\) −1.39861 3.00731i −0.0745461 0.160290i
\(353\) −4.73455 2.73349i −0.251995 0.145489i 0.368683 0.929555i \(-0.379809\pi\)
−0.620677 + 0.784066i \(0.713142\pi\)
\(354\) 4.81097 + 3.38146i 0.255700 + 0.179723i
\(355\) −1.60919 + 0.342044i −0.0854070 + 0.0181538i
\(356\) −1.67732 + 0.544995i −0.0888980 + 0.0288847i
\(357\) 33.0437 16.9255i 1.74886 0.895790i
\(358\) −6.95844 9.57747i −0.367765 0.506185i
\(359\) 12.8504 14.2718i 0.678219 0.753239i −0.301532 0.953456i \(-0.597498\pi\)
0.979752 + 0.200217i \(0.0641648\pi\)
\(360\) 0.133087 + 0.542001i 0.00701433 + 0.0285659i
\(361\) −4.73724 + 2.10916i −0.249328 + 0.111008i
\(362\) 3.49691 + 6.05683i 0.183794 + 0.318340i
\(363\) −0.924546 19.0301i −0.0485261 0.998822i
\(364\) −2.47118 0.425773i −0.129525 0.0223166i
\(365\) 2.14687 + 1.55979i 0.112372 + 0.0816431i
\(366\) 17.1875 + 18.4972i 0.898404 + 0.966867i
\(367\) −16.2502 3.45408i −0.848252 0.180302i −0.236776 0.971564i \(-0.576091\pi\)
−0.611476 + 0.791263i \(0.709424\pi\)
\(368\) −1.07809 + 0.113312i −0.0561993 + 0.00590679i
\(369\) −9.12466 + 7.07678i −0.475011 + 0.368402i
\(370\) −0.615352 + 0.199940i −0.0319906 + 0.0103944i
\(371\) 7.14140 13.5587i 0.370763 0.703934i
\(372\) 8.02239 + 0.716266i 0.415942 + 0.0371366i
\(373\) 8.68414 5.01379i 0.449648 0.259604i −0.258034 0.966136i \(-0.583075\pi\)
0.707681 + 0.706532i \(0.249741\pi\)
\(374\) −15.4344 + 21.9949i −0.798093 + 1.13733i
\(375\) −3.21065 + 0.0503233i −0.165797 + 0.00259868i
\(376\) −2.82192 0.296596i −0.145529 0.0152958i
\(377\) 1.20650 + 0.392016i 0.0621380 + 0.0201898i
\(378\) −12.9923 4.49440i −0.668253 0.231167i
\(379\) −27.2351 + 19.7875i −1.39897 + 1.01641i −0.404160 + 0.914688i \(0.632436\pi\)
−0.994813 + 0.101725i \(0.967564\pi\)
\(380\) 0.835795 + 0.372120i 0.0428754 + 0.0190894i
\(381\) 0.983141 + 2.87185i 0.0503678 + 0.147129i
\(382\) 8.11838 7.30982i 0.415373 0.374003i
\(383\) 19.5058 + 2.05014i 0.996699 + 0.104757i 0.588807 0.808273i \(-0.299598\pi\)
0.407891 + 0.913031i \(0.366264\pi\)
\(384\) 1.48624 0.889427i 0.0758445 0.0453884i
\(385\) 0.580599 1.52570i 0.0295901 0.0777569i
\(386\) 18.2293i 0.927848i
\(387\) 18.6025 27.3686i 0.945619 1.39122i
\(388\) −6.11384 6.79011i −0.310383 0.344716i
\(389\) −7.27976 + 34.2486i −0.369099 + 1.73647i 0.265938 + 0.963990i \(0.414318\pi\)
−0.635037 + 0.772482i \(0.719015\pi\)
\(390\) −0.303183 + 0.0366783i −0.0153523 + 0.00185728i
\(391\) 5.16215 + 7.10510i 0.261061 + 0.359320i
\(392\) 5.96518 + 3.66287i 0.301287 + 0.185003i
\(393\) −2.78848 12.1771i −0.140660 0.614254i
\(394\) 2.51952 23.9716i 0.126931 1.20767i
\(395\) 1.16534 2.01843i 0.0586348 0.101558i
\(396\) 9.83440 1.51149i 0.494197 0.0759554i
\(397\) −18.5110 32.0620i −0.929040 1.60915i −0.784931 0.619584i \(-0.787302\pi\)
−0.144110 0.989562i \(-0.546032\pi\)
\(398\) 4.60526 + 3.34592i 0.230841 + 0.167716i
\(399\) −18.8745 + 12.3146i −0.944909 + 0.616499i
\(400\) 1.53439 + 4.72237i 0.0767195 + 0.236118i
\(401\) −1.65249 + 3.71156i −0.0825215 + 0.185346i −0.950094 0.311965i \(-0.899013\pi\)
0.867572 + 0.497312i \(0.165679\pi\)
\(402\) 0.137158 + 0.182691i 0.00684082 + 0.00911179i
\(403\) −0.916334 + 4.31101i −0.0456459 + 0.214747i
\(404\) −9.01625 + 1.91646i −0.448575 + 0.0953476i
\(405\) −1.67283 0.0703494i −0.0831234 0.00349569i
\(406\) −2.72168 2.26567i −0.135075 0.112443i
\(407\) 2.58340 + 11.2421i 0.128055 + 0.557250i
\(408\) −12.2609 6.82489i −0.607004 0.337882i
\(409\) 8.28475 + 18.6079i 0.409655 + 0.920099i 0.994080 + 0.108652i \(0.0346533\pi\)
−0.584425 + 0.811448i \(0.698680\pi\)
\(410\) 0.532138 0.479140i 0.0262804 0.0236630i
\(411\) −16.2304 3.18487i −0.800585 0.157098i
\(412\) −8.91512 + 6.47722i −0.439217 + 0.319110i
\(413\) 8.05799 3.96925i 0.396508 0.195314i
\(414\) 0.576121 3.20065i 0.0283148 0.157303i
\(415\) −0.270511 1.27265i −0.0132788 0.0624721i
\(416\) 0.385497 + 0.865840i 0.0189005 + 0.0424513i
\(417\) 9.28698 0.145563i 0.454785 0.00712824i
\(418\) 7.92212 14.2577i 0.387484 0.697365i
\(419\) 9.94577i 0.485883i 0.970041 + 0.242941i \(0.0781123\pi\)
−0.970041 + 0.242941i \(0.921888\pi\)
\(420\) 0.823934 + 0.218891i 0.0402038 + 0.0106808i
\(421\) −2.87160 + 8.83787i −0.139953 + 0.430731i −0.996328 0.0856240i \(-0.972712\pi\)
0.856374 + 0.516355i \(0.172712\pi\)
\(422\) 1.73522 + 1.56240i 0.0844691 + 0.0760563i
\(423\) 3.21689 7.88115i 0.156410 0.383195i
\(424\) −5.76037 + 0.605439i −0.279748 + 0.0294027i
\(425\) 26.9176 29.8950i 1.30569 1.45012i
\(426\) −14.9305 + 3.41898i −0.723384 + 0.165650i
\(427\) 37.3874 9.47725i 1.80930 0.458636i
\(428\) −17.1717 −0.830023
\(429\) 0.174789 + 5.44178i 0.00843890 + 0.262731i
\(430\) −1.02604 + 1.77716i −0.0494802 + 0.0857023i
\(431\) 15.7282 7.00265i 0.757601 0.337306i 0.00867770 0.999962i \(-0.497238\pi\)
0.748923 + 0.662657i \(0.230571\pi\)
\(432\) 1.31803 + 5.02621i 0.0634138 + 0.241824i
\(433\) 3.77437 + 11.6163i 0.181384 + 0.558244i 0.999867 0.0162869i \(-0.00518452\pi\)
−0.818483 + 0.574531i \(0.805185\pi\)
\(434\) 6.83988 10.2266i 0.328325 0.490893i
\(435\) −0.396701 0.169224i −0.0190204 0.00811366i
\(436\) 11.1405 + 10.0309i 0.533532 + 0.480394i
\(437\) −3.56722 3.96180i −0.170643 0.189518i
\(438\) 20.2133 + 14.2072i 0.965830 + 0.678848i
\(439\) 14.1328 8.15957i 0.674522 0.389435i −0.123266 0.992374i \(-0.539337\pi\)
0.797788 + 0.602938i \(0.206004\pi\)
\(440\) −0.601331 + 0.138184i −0.0286673 + 0.00658768i
\(441\) −15.5460 + 14.1182i −0.740285 + 0.672293i
\(442\) 4.51334 6.21208i 0.214678 0.295478i
\(443\) 2.69115 + 12.6609i 0.127860 + 0.601536i 0.994689 + 0.102929i \(0.0328215\pi\)
−0.866828 + 0.498607i \(0.833845\pi\)
\(444\) −5.69930 + 1.95108i −0.270477 + 0.0925942i
\(445\) 0.0342955 + 0.326300i 0.00162576 + 0.0154681i
\(446\) −7.92375 3.52788i −0.375200 0.167050i
\(447\) −17.4354 15.2109i −0.824664 0.719452i
\(448\) −0.102680 2.64376i −0.00485117 0.124906i
\(449\) 5.60450 7.71394i 0.264493 0.364043i −0.656028 0.754737i \(-0.727765\pi\)
0.920521 + 0.390693i \(0.127765\pi\)
\(450\) −14.8889 + 0.466846i −0.701867 + 0.0220073i
\(451\) −7.67241 10.2032i −0.361280 0.480450i
\(452\) −6.18042 3.56826i −0.290702 0.167837i
\(453\) −1.09432 + 0.507921i −0.0514158 + 0.0238642i
\(454\) −6.91747 + 21.2898i −0.324653 + 0.999179i
\(455\) −0.173059 + 0.433208i −0.00811313 + 0.0203091i
\(456\) 7.83494 + 3.34221i 0.366905 + 0.156513i
\(457\) −1.70037 + 3.81910i −0.0795401 + 0.178650i −0.948938 0.315463i \(-0.897840\pi\)
0.869398 + 0.494113i \(0.164507\pi\)
\(458\) −16.7943 3.56974i −0.784747 0.166803i
\(459\) 29.9258 29.6078i 1.39682 1.38197i
\(460\) −0.0210798 + 0.200561i −0.000982852 + 0.00935121i
\(461\) −33.7485 −1.57183 −0.785913 0.618337i \(-0.787807\pi\)
−0.785913 + 0.618337i \(0.787807\pi\)
\(462\) 5.18233 14.2879i 0.241104 0.664732i
\(463\) 17.5992 0.817905 0.408952 0.912556i \(-0.365894\pi\)
0.408952 + 0.912556i \(0.365894\pi\)
\(464\) −0.139910 + 1.33115i −0.00649515 + 0.0617972i
\(465\) 0.440633 1.43212i 0.0204339 0.0664129i
\(466\) −13.0560 2.77514i −0.604809 0.128556i
\(467\) −3.63202 + 8.15766i −0.168070 + 0.377491i −0.977870 0.209215i \(-0.932909\pi\)
0.809800 + 0.586707i \(0.199576\pi\)
\(468\) −2.81706 + 0.385686i −0.130219 + 0.0178283i
\(469\) 0.345371 0.0499174i 0.0159477 0.00230497i
\(470\) −0.163119 + 0.502029i −0.00752412 + 0.0231569i
\(471\) −1.93981 4.17935i −0.0893818 0.192574i
\(472\) −2.94023 1.69754i −0.135335 0.0781357i
\(473\) 29.9472 + 21.0146i 1.37697 + 0.966254i
\(474\) 10.5540 18.9602i 0.484760 0.870869i
\(475\) −14.3532 + 19.7556i −0.658572 + 0.906447i
\(476\) −18.1332 + 11.4298i −0.831134 + 0.523883i
\(477\) 3.07829 17.1015i 0.140945 0.783022i
\(478\) −20.4460 9.10316i −0.935180 0.416369i
\(479\) 1.11850 + 10.6418i 0.0511053 + 0.486235i 0.989901 + 0.141760i \(0.0452762\pi\)
−0.938796 + 0.344475i \(0.888057\pi\)
\(480\) −0.104362 0.304851i −0.00476345 0.0139145i
\(481\) −0.685349 3.22431i −0.0312492 0.147016i
\(482\) −10.7226 + 14.7584i −0.488400 + 0.672225i
\(483\) −3.86724 3.11800i −0.175965 0.141874i
\(484\) 1.50874 + 10.8960i 0.0685793 + 0.495275i
\(485\) −1.47206 + 0.849895i −0.0668428 + 0.0385917i
\(486\) −15.5830 0.410816i −0.706861 0.0186350i
\(487\) −18.2777 20.2994i −0.828241 0.919854i 0.169602 0.985513i \(-0.445752\pi\)
−0.997842 + 0.0656584i \(0.979085\pi\)
\(488\) −10.8336 9.75461i −0.490414 0.441571i
\(489\) −3.62518 + 8.49829i −0.163936 + 0.384306i
\(490\) 0.897252 0.943800i 0.0405337 0.0426366i
\(491\) 2.66387 + 8.19855i 0.120219 + 0.369995i 0.993000 0.118117i \(-0.0376857\pi\)
−0.872781 + 0.488112i \(0.837686\pi\)
\(492\) 4.88391 4.53808i 0.220183 0.204593i
\(493\) 9.90639 4.41061i 0.446161 0.198644i
\(494\) −2.33053 + 4.03660i −0.104856 + 0.181615i
\(495\) 0.105337 1.84801i 0.00473453 0.0830620i
\(496\) −4.65016 −0.208798
\(497\) −6.36104 + 22.5157i −0.285332 + 1.00997i
\(498\) −2.70395 11.8080i −0.121167 0.529129i
\(499\) 8.40530 9.33503i 0.376273 0.417893i −0.525029 0.851084i \(-0.675946\pi\)
0.901302 + 0.433191i \(0.142612\pi\)
\(500\) 1.84374 0.193785i 0.0824547 0.00866634i
\(501\) 16.6627 + 22.1943i 0.744435 + 0.991568i
\(502\) 8.21265 + 7.39470i 0.366548 + 0.330042i
\(503\) −3.33866 + 10.2753i −0.148864 + 0.458155i −0.997488 0.0708415i \(-0.977432\pi\)
0.848624 + 0.528996i \(0.177432\pi\)
\(504\) 7.70216 + 1.91749i 0.343081 + 0.0854119i
\(505\) 1.71480i 0.0763076i
\(506\) 3.52856 + 0.689608i 0.156864 + 0.0306568i
\(507\) 0.328496 + 20.9582i 0.0145890 + 0.930787i
\(508\) −0.712819 1.60102i −0.0316262 0.0710336i
\(509\) −6.67417 31.3995i −0.295827 1.39176i −0.835318 0.549767i \(-0.814716\pi\)
0.539491 0.841992i \(-0.318617\pi\)
\(510\) −1.71615 + 1.96712i −0.0759924 + 0.0871054i
\(511\) 33.8557 16.6768i 1.49769 0.737739i
\(512\) −0.809017 + 0.587785i −0.0357538 + 0.0259767i
\(513\) −16.1876 + 19.7730i −0.714698 + 0.873001i
\(514\) −9.59065 + 8.63546i −0.423025 + 0.380894i
\(515\) 0.833825 + 1.87280i 0.0367427 + 0.0825255i
\(516\) −9.29241 + 16.6938i −0.409076 + 0.734903i
\(517\) 8.65895 + 3.68590i 0.380820 + 0.162106i
\(518\) −1.56241 + 9.06822i −0.0686485 + 0.398435i
\(519\) −33.5045 2.99139i −1.47068 0.131307i
\(520\) 0.172466 0.0366588i 0.00756314 0.00160759i
\(521\) 5.68170 26.7303i 0.248920 1.17108i −0.659069 0.752082i \(-0.729050\pi\)
0.907989 0.418994i \(-0.137617\pi\)
\(522\) −3.71769 1.51747i −0.162719 0.0664177i
\(523\) 2.09602 4.70774i 0.0916526 0.205855i −0.861902 0.507074i \(-0.830727\pi\)
0.953555 + 0.301219i \(0.0973936\pi\)
\(524\) 2.22877 + 6.85944i 0.0973641 + 0.299656i
\(525\) −10.2870 + 20.2962i −0.448961 + 0.885798i
\(526\) −18.7662 13.6345i −0.818247 0.594491i
\(527\) 18.8369 + 32.6264i 0.820547 + 1.42123i
\(528\) −5.57779 + 1.37414i −0.242742 + 0.0598016i
\(529\) −10.9124 + 18.9009i −0.474454 + 0.821778i
\(530\) −0.112632 + 1.07162i −0.00489243 + 0.0465483i
\(531\) 7.35181 7.04913i 0.319041 0.305906i
\(532\) 10.2218 8.05073i 0.443170 0.349043i
\(533\) 2.14430 + 2.95138i 0.0928799 + 0.127838i
\(534\) 0.366877 + 3.03261i 0.0158763 + 0.131234i
\(535\) −0.664176 + 3.12470i −0.0287148 + 0.135093i
\(536\) −0.0882545 0.0980165i −0.00381201 0.00423367i
\(537\) −18.5990 + 8.63256i −0.802605 + 0.372522i
\(538\) 12.3129i 0.530846i
\(539\) −15.3502 17.4175i −0.661182 0.750226i
\(540\) 0.965592 0.0454334i 0.0415524 0.00195514i
\(541\) 11.1340 + 1.17023i 0.478689 + 0.0503122i 0.340801 0.940136i \(-0.389302\pi\)
0.137888 + 0.990448i \(0.455969\pi\)
\(542\) 17.2056 15.4920i 0.739043 0.665437i
\(543\) 11.4607 3.92342i 0.491826 0.168370i
\(544\) 7.40119 + 3.29522i 0.317324 + 0.141282i
\(545\) 2.25621 1.63923i 0.0966455 0.0702170i
\(546\) −1.54784 + 4.05810i −0.0662415 + 0.173671i
\(547\) −25.1284 8.16471i −1.07441 0.349098i −0.282208 0.959353i \(-0.591067\pi\)
−0.792205 + 0.610256i \(0.791067\pi\)
\(548\) 9.49700 + 0.998175i 0.405692 + 0.0426399i
\(549\) 37.1709 23.0433i 1.58642 0.983465i
\(550\) −0.270666 16.4661i −0.0115412 0.702118i
\(551\) −5.70062 + 3.29126i −0.242855 + 0.140212i
\(552\) −0.166973 + 1.87015i −0.00710686 + 0.0795990i
\(553\) −17.6749 28.0411i −0.751615 1.19243i
\(554\) 12.6141 4.09857i 0.535921 0.174131i
\(555\) 0.134594 + 1.11256i 0.00571321 + 0.0472255i
\(556\) −5.33312 + 0.560534i −0.226175 + 0.0237719i
\(557\) 26.6377 + 5.66202i 1.12868 + 0.239907i 0.734156 0.678980i \(-0.237578\pi\)
0.394519 + 0.918888i \(0.370911\pi\)
\(558\) 3.89300 13.3963i 0.164804 0.567109i
\(559\) −8.45804 6.14512i −0.357737 0.259911i
\(560\) −0.485052 0.0835723i −0.0204972 0.00353158i
\(561\) 32.2358 + 33.5686i 1.36100 + 1.41727i
\(562\) 6.06232 + 10.5002i 0.255723 + 0.442926i
\(563\) 24.5232 10.9184i 1.03353 0.460156i 0.181355 0.983418i \(-0.441952\pi\)
0.852172 + 0.523261i \(0.175285\pi\)
\(564\) −1.44527 + 4.69732i −0.0608567 + 0.197793i
\(565\) −0.888362 + 0.986626i −0.0373737 + 0.0415076i
\(566\) −11.5188 15.8543i −0.484172 0.666406i
\(567\) −11.9720 + 20.5833i −0.502778 + 0.864416i
\(568\) 8.41042 2.73271i 0.352893 0.114662i
\(569\) 23.6037 5.01713i 0.989520 0.210329i 0.315406 0.948957i \(-0.397859\pi\)
0.674114 + 0.738628i \(0.264526\pi\)
\(570\) 0.911222 1.29644i 0.0381669 0.0543019i
\(571\) −7.26544 4.19470i −0.304049 0.175543i 0.340211 0.940349i \(-0.389501\pi\)
−0.644260 + 0.764806i \(0.722835\pi\)
\(572\) −0.379915 3.12039i −0.0158850 0.130470i
\(573\) −9.71642 16.2363i −0.405909 0.678279i
\(574\) −2.50232 9.87155i −0.104445 0.412030i
\(575\) −5.11918 1.66332i −0.213485 0.0693654i
\(576\) −1.01601 2.82271i −0.0423339 0.117613i
\(577\) −1.36982 13.0329i −0.0570263 0.542569i −0.985320 0.170720i \(-0.945391\pi\)
0.928293 0.371849i \(-0.121276\pi\)
\(578\) −5.08386 48.3697i −0.211461 2.01191i
\(579\) −30.9832 6.07980i −1.28762 0.252668i
\(580\) 0.236816 + 0.0769463i 0.00983327 + 0.00319502i
\(581\) −17.8069 5.03073i −0.738754 0.208710i
\(582\) −13.5798 + 8.12669i −0.562901 + 0.336862i
\(583\) 18.8535 + 3.68466i 0.780834 + 0.152603i
\(584\) −12.3534 7.13223i −0.511187 0.295134i
\(585\) −0.0387772 + 0.527534i −0.00160324 + 0.0218108i
\(586\) 18.1330 3.85429i 0.749068 0.159219i
\(587\) 14.1420 4.59502i 0.583704 0.189657i −0.00225547 0.999997i \(-0.500718\pi\)
0.585959 + 0.810341i \(0.300718\pi\)
\(588\) 8.21504 8.91701i 0.338783 0.367731i
\(589\) −13.4420 18.5013i −0.553868 0.762334i
\(590\) −0.422623 + 0.469370i −0.0173991 + 0.0193237i
\(591\) −39.9027 12.2772i −1.64138 0.505018i
\(592\) 3.17728 1.41462i 0.130585 0.0581404i
\(593\) 20.0364 + 34.7041i 0.822797 + 1.42513i 0.903592 + 0.428395i \(0.140921\pi\)
−0.0807952 + 0.996731i \(0.525746\pi\)
\(594\) 0.710959 17.2190i 0.0291710 0.706505i
\(595\) 1.37849 + 3.74176i 0.0565127 + 0.153397i
\(596\) 10.8074 + 7.85204i 0.442689 + 0.321632i
\(597\) 7.22278 6.71134i 0.295609 0.274677i
\(598\) −1.00497 0.213613i −0.0410962 0.00873528i
\(599\) −27.4654 + 2.88673i −1.12221 + 0.117949i −0.647406 0.762145i \(-0.724146\pi\)
−0.474800 + 0.880094i \(0.657480\pi\)
\(600\) 8.53806 1.03291i 0.348565 0.0421685i
\(601\) −14.6565 + 4.76219i −0.597851 + 0.194254i −0.592282 0.805731i \(-0.701773\pi\)
−0.00556952 + 0.999984i \(0.501773\pi\)
\(602\) 15.5622 + 24.6892i 0.634267 + 1.00626i
\(603\) 0.356253 0.172188i 0.0145077 0.00701205i
\(604\) 0.603227 0.348273i 0.0245449 0.0141710i
\(605\) 2.04109 + 0.146900i 0.0829822 + 0.00597232i
\(606\) 0.250210 + 15.9635i 0.0101641 + 0.648474i
\(607\) 15.2545 + 1.60332i 0.619163 + 0.0650766i 0.408916 0.912572i \(-0.365907\pi\)
0.210246 + 0.977648i \(0.432573\pi\)
\(608\) −4.67718 1.51971i −0.189685 0.0616323i
\(609\) −4.75855 + 3.87022i −0.192826 + 0.156829i
\(610\) −2.19406 + 1.59408i −0.0888349 + 0.0645424i
\(611\) −2.45679 1.09383i −0.0993912 0.0442518i
\(612\) −15.6891 + 18.5628i −0.634193 + 0.750358i
\(613\) 1.87029 1.68402i 0.0755405 0.0680170i −0.630496 0.776193i \(-0.717148\pi\)
0.706036 + 0.708176i \(0.250482\pi\)
\(614\) −13.4470 1.41333i −0.542676 0.0570375i
\(615\) −0.636886 1.06424i −0.0256817 0.0429144i
\(616\) −2.24658 + 8.48251i −0.0905171 + 0.341770i
\(617\) 16.0248i 0.645136i −0.946546 0.322568i \(-0.895454\pi\)
0.946546 0.322568i \(-0.104546\pi\)
\(618\) 8.03556 + 17.3127i 0.323238 + 0.696421i
\(619\) −7.01196 7.78757i −0.281834 0.313009i 0.585561 0.810628i \(-0.300874\pi\)
−0.867395 + 0.497620i \(0.834208\pi\)
\(620\) −0.179861 + 0.846182i −0.00722341 + 0.0339835i
\(621\) −5.24779 2.04667i −0.210587 0.0821301i
\(622\) 4.16720 + 5.73566i 0.167090 + 0.229979i
\(623\) 4.33319 + 1.73103i 0.173606 + 0.0693524i
\(624\) 1.60018 0.366431i 0.0640586 0.0146690i
\(625\) −2.55907 + 24.3480i −0.102363 + 0.973918i
\(626\) −9.77793 + 16.9359i −0.390805 + 0.676893i
\(627\) −21.5907 18.2199i −0.862249 0.727633i
\(628\) 1.33010 + 2.30379i 0.0530766 + 0.0919314i
\(629\) −22.7958 16.5621i −0.908927 0.660374i
\(630\) 0.646832 1.32738i 0.0257704 0.0528843i
\(631\) −6.60112 20.3162i −0.262786 0.808773i −0.992195 0.124695i \(-0.960205\pi\)
0.729409 0.684078i \(-0.239795\pi\)
\(632\) −5.09572 + 11.4452i −0.202697 + 0.455264i
\(633\) 3.23423 2.42815i 0.128549 0.0965104i
\(634\) 3.77269 17.7491i 0.149833 0.704907i
\(635\) −0.318905 + 0.0677854i −0.0126554 + 0.00268998i
\(636\) −0.892160 + 9.99246i −0.0353764 + 0.396227i
\(637\) 4.30419 + 5.04877i 0.170538 + 0.200039i
\(638\) 1.73871 4.08459i 0.0688362 0.161710i
\(639\) 0.831441 + 26.5167i 0.0328913 + 1.04898i
\(640\) 0.0756668 + 0.169950i 0.00299099 + 0.00671788i
\(641\) 25.9746 23.3876i 1.02593 0.923756i 0.0288138 0.999585i \(-0.490827\pi\)
0.997121 + 0.0758291i \(0.0241603\pi\)
\(642\) −5.72706 + 29.1856i −0.226029 + 1.15186i
\(643\) −4.94811 + 3.59501i −0.195134 + 0.141773i −0.681062 0.732226i \(-0.738482\pi\)
0.485928 + 0.873999i \(0.338482\pi\)
\(644\) 2.38399 + 1.59449i 0.0939425 + 0.0628317i
\(645\) 2.67832 + 2.33662i 0.105459 + 0.0920042i
\(646\) 8.28378 + 38.9721i 0.325921 + 1.53334i
\(647\) −1.10988 2.49282i −0.0436337 0.0980029i 0.890413 0.455153i \(-0.150415\pi\)
−0.934047 + 0.357150i \(0.883749\pi\)
\(648\) 8.98232 0.563843i 0.352859 0.0221498i
\(649\) 7.67107 + 8.24301i 0.301116 + 0.323566i
\(650\) 4.70610i 0.184588i
\(651\) −15.1003 15.0361i −0.591828 0.589310i
\(652\) 1.64838 5.07318i 0.0645554 0.198681i
\(653\) −7.27024 6.54616i −0.284507 0.256171i 0.514504 0.857488i \(-0.327976\pi\)
−0.799010 + 0.601317i \(0.794643\pi\)
\(654\) 20.7645 15.5893i 0.811956 0.609589i
\(655\) 1.33441 0.140252i 0.0521396 0.00548009i
\(656\) −2.57555 + 2.86044i −0.100558 + 0.111681i
\(657\) 30.8887 29.6170i 1.20508 1.15547i
\(658\) 5.23605 + 5.37980i 0.204122 + 0.209727i
\(659\) −19.7562 −0.769592 −0.384796 0.923002i \(-0.625728\pi\)
−0.384796 + 0.923002i \(0.625728\pi\)
\(660\) 0.0343083 + 1.06813i 0.00133545 + 0.0415770i
\(661\) −21.5420 + 37.3118i −0.837885 + 1.45126i 0.0537747 + 0.998553i \(0.482875\pi\)
−0.891660 + 0.452706i \(0.850459\pi\)
\(662\) −12.1260 + 5.39883i −0.471289 + 0.209831i
\(663\) −9.05299 9.74287i −0.351589 0.378382i
\(664\) 2.16121 + 6.65151i 0.0838710 + 0.258128i
\(665\) −1.06962 2.17143i −0.0414779 0.0842045i
\(666\) 1.41531 + 10.3375i 0.0548422 + 0.400568i
\(667\) −1.07827 0.970880i −0.0417508 0.0375926i
\(668\) −10.7216 11.9076i −0.414833 0.460718i
\(669\) −8.63883 + 12.2909i −0.333996 + 0.475193i
\(670\) −0.0212495 + 0.0122684i −0.000820939 + 0.000473969i
\(671\) 24.8599 + 41.4693i 0.959705 + 1.60090i
\(672\) −4.52767 0.707222i −0.174659 0.0272817i
\(673\) 11.4623 15.7765i 0.441839 0.608139i −0.528781 0.848759i \(-0.677351\pi\)
0.970620 + 0.240619i \(0.0773505\pi\)
\(674\) 1.62767 + 7.65758i 0.0626954 + 0.294959i
\(675\) −4.17223 + 25.4614i −0.160589 + 0.980008i
\(676\) −1.26497 12.0354i −0.0486528 0.462901i
\(677\) 33.2939 + 14.8234i 1.27959 + 0.569710i 0.930126 0.367240i \(-0.119697\pi\)
0.349464 + 0.936950i \(0.386364\pi\)
\(678\) −8.12603 + 9.31438i −0.312078 + 0.357717i
\(679\) 0.938187 + 24.1560i 0.0360043 + 0.927022i
\(680\) 0.885895 1.21933i 0.0339725 0.0467591i
\(681\) 33.8778 + 18.8577i 1.29820 + 0.722629i
\(682\) 14.7443 + 4.52419i 0.564589 + 0.173240i
\(683\) 7.36169 + 4.25027i 0.281687 + 0.162632i 0.634187 0.773180i \(-0.281335\pi\)
−0.352500 + 0.935812i \(0.614668\pi\)
\(684\) 8.29364 12.2019i 0.317115 0.466550i
\(685\) 0.548967 1.68955i 0.0209749 0.0645543i
\(686\) −5.92942 17.5454i −0.226386 0.669887i
\(687\) −11.6685 + 27.3537i −0.445180 + 1.04361i
\(688\) 4.48660 10.0771i 0.171050 0.384185i
\(689\) −5.36967 1.14136i −0.204568 0.0434823i
\(690\) 0.333851 + 0.102719i 0.0127095 + 0.00391044i
\(691\) −0.285338 + 2.71481i −0.0108548 + 0.103276i −0.998608 0.0527494i \(-0.983202\pi\)
0.987753 + 0.156026i \(0.0498682\pi\)
\(692\) 19.4208 0.738266
\(693\) −22.5558 13.5733i −0.856824 0.515609i
\(694\) 14.2407 0.540570
\(695\) −0.104278 + 0.992141i −0.00395550 + 0.0376340i
\(696\) 2.21581 + 0.681760i 0.0839902 + 0.0258420i
\(697\) 30.5025 + 6.48350i 1.15536 + 0.245580i
\(698\) −2.91925 + 6.55674i −0.110495 + 0.248176i
\(699\) −9.07116 + 21.2649i −0.343103 + 0.804314i
\(700\) 4.87358 12.1998i 0.184204 0.461107i
\(701\) −13.1558 + 40.4895i −0.496889 + 1.52927i 0.317102 + 0.948392i \(0.397290\pi\)
−0.813991 + 0.580877i \(0.802710\pi\)
\(702\) −0.284014 + 4.91661i −0.0107194 + 0.185566i
\(703\) 14.8127 + 8.55211i 0.558671 + 0.322549i
\(704\) 3.13703 1.07660i 0.118231 0.0405758i
\(705\) 0.798864 + 0.444679i 0.0300869 + 0.0167476i
\(706\) 3.21341 4.42288i 0.120938 0.166457i
\(707\) 21.5777 + 11.3650i 0.811512 + 0.427424i
\(708\) −3.86582 + 4.43116i −0.145287 + 0.166533i
\(709\) 35.8899 + 15.9792i 1.34787 + 0.600112i 0.948529 0.316690i \(-0.102571\pi\)
0.399343 + 0.916801i \(0.369238\pi\)
\(710\) −0.171964 1.63613i −0.00645370 0.0614028i
\(711\) −28.7055 24.2615i −1.07654 0.909877i
\(712\) −0.366682 1.72510i −0.0137420 0.0646510i
\(713\) 2.96297 4.07817i 0.110964 0.152729i
\(714\) 13.3787 + 34.6319i 0.500686 + 1.29607i
\(715\) −0.582507 0.0515598i −0.0217845 0.00192823i
\(716\) 10.2524 5.91920i 0.383149 0.221211i
\(717\) −22.2912 + 31.7148i −0.832480 + 1.18441i
\(718\) 12.8504 + 14.2718i 0.479573 + 0.532620i
\(719\) −19.8283 17.8535i −0.739471 0.665823i 0.210700 0.977551i \(-0.432426\pi\)
−0.950171 + 0.311728i \(0.899092\pi\)
\(720\) −0.552943 + 0.0757039i −0.0206070 + 0.00282132i
\(721\) 29.0921 + 1.91997i 1.08345 + 0.0715033i
\(722\) −1.60242 4.93176i −0.0596361 0.183541i
\(723\) 21.5077 + 23.1467i 0.799879 + 0.860834i
\(724\) −6.38918 + 2.84465i −0.237452 + 0.105720i
\(725\) −3.32305 + 5.75570i −0.123415 + 0.213761i
\(726\) 19.0225 + 1.06971i 0.705991 + 0.0397006i
\(727\) −8.99304 −0.333533 −0.166767 0.985996i \(-0.553333\pi\)
−0.166767 + 0.985996i \(0.553333\pi\)
\(728\) 0.681749 2.41314i 0.0252673 0.0894368i
\(729\) −5.89546 + 26.3485i −0.218350 + 0.975870i
\(730\) −1.77565 + 1.97206i −0.0657199 + 0.0729893i
\(731\) −88.8772 + 9.34137i −3.28724 + 0.345503i
\(732\) −20.1925 + 15.1598i −0.746336 + 0.560324i
\(733\) 1.57753 + 1.42041i 0.0582673 + 0.0524641i 0.697750 0.716342i \(-0.254185\pi\)
−0.639483 + 0.768806i \(0.720851\pi\)
\(734\) 5.13377 15.8001i 0.189491 0.583193i
\(735\) −1.30487 1.83978i −0.0481308 0.0678612i
\(736\) 1.08403i 0.0399578i
\(737\) 0.184468 + 0.396647i 0.00679498 + 0.0146107i
\(738\) −6.08422 9.81440i −0.223963 0.361273i
\(739\) −18.3565 41.2293i −0.675253 1.51664i −0.847051 0.531511i \(-0.821624\pi\)
0.171798 0.985132i \(-0.445042\pi\)
\(740\) −0.134523 0.632880i −0.00494516 0.0232651i
\(741\) 6.08349 + 5.30734i 0.223482 + 0.194970i
\(742\) 12.7380 + 8.51955i 0.467626 + 0.312763i
\(743\) −3.16638 + 2.30051i −0.116163 + 0.0843976i −0.644350 0.764731i \(-0.722872\pi\)
0.528187 + 0.849128i \(0.322872\pi\)
\(744\) −1.55091 + 7.90358i −0.0568591 + 0.289759i
\(745\) 1.84684 1.66290i 0.0676630 0.0609240i
\(746\) 4.07859 + 9.16065i 0.149328 + 0.335395i
\(747\) −20.9711 + 0.657558i −0.767293 + 0.0240588i
\(748\) −20.2611 17.6489i −0.740820 0.645309i
\(749\) 34.9169 + 29.0667i 1.27583 + 1.06207i
\(750\) 0.285557 3.19833i 0.0104271 0.116786i
\(751\) 48.7762 10.3677i 1.77987 0.378323i 0.803648 0.595105i \(-0.202890\pi\)
0.976220 + 0.216783i \(0.0695564\pi\)
\(752\) 0.589942 2.77546i 0.0215130 0.101211i
\(753\) 15.3074 11.4922i 0.557832 0.418801i
\(754\) −0.515982 + 1.15891i −0.0187910 + 0.0422052i
\(755\) −0.0400428 0.123239i −0.00145731 0.00448512i
\(756\) 5.82785 12.4514i 0.211957 0.452851i
\(757\) 7.53714 + 5.47606i 0.273942 + 0.199031i 0.716271 0.697822i \(-0.245848\pi\)
−0.442329 + 0.896853i \(0.645848\pi\)
\(758\) −16.8322 29.1543i −0.611374 1.05893i
\(759\) 2.34892 5.76727i 0.0852604 0.209339i
\(760\) −0.457446 + 0.792320i −0.0165933 + 0.0287405i
\(761\) 1.03654 9.86204i 0.0375746 0.357499i −0.959539 0.281576i \(-0.909143\pi\)
0.997114 0.0759231i \(-0.0241904\pi\)
\(762\) −2.95889 + 0.677565i −0.107189 + 0.0245456i
\(763\) −5.67357 39.2545i −0.205397 1.42111i
\(764\) 6.42118 + 8.83799i 0.232310 + 0.319747i
\(765\) 2.77102 + 3.57290i 0.100186 + 0.129178i
\(766\) −4.07782 + 19.1846i −0.147338 + 0.693169i
\(767\) −2.15312 2.39129i −0.0777448 0.0863443i
\(768\) 0.729200 + 1.57107i 0.0263127 + 0.0566912i
\(769\) 40.7034i 1.46780i 0.679256 + 0.733902i \(0.262303\pi\)
−0.679256 + 0.733902i \(0.737697\pi\)
\(770\) 1.45665 + 0.736897i 0.0524942 + 0.0265559i
\(771\) 11.4785 + 19.1807i 0.413388 + 0.690776i
\(772\) 18.1295 + 1.90548i 0.652493 + 0.0685798i