Properties

Label 441.2.z.a.4.1
Level $441$
Weight $2$
Character 441.4
Analytic conductor $3.521$
Analytic rank $0$
Dimension $648$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 441 = 3^{2} \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 441.z (of order \(21\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.52140272914\)
Analytic rank: \(0\)
Dimension: \(648\)
Relative dimension: \(54\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 4.1
Character \(\chi\) \(=\) 441.4
Dual form 441.2.z.a.331.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.209537 + 2.79608i) q^{2} +(-0.318381 - 1.70254i) q^{3} +(-5.79651 - 0.873684i) q^{4} +(-0.429093 + 1.87998i) q^{5} +(4.82715 - 0.533474i) q^{6} +(0.156954 - 2.64109i) q^{7} +(2.40961 - 10.5572i) q^{8} +(-2.79727 + 1.08411i) q^{9} +O(q^{10})\) \(q+(-0.209537 + 2.79608i) q^{2} +(-0.318381 - 1.70254i) q^{3} +(-5.79651 - 0.873684i) q^{4} +(-0.429093 + 1.87998i) q^{5} +(4.82715 - 0.533474i) q^{6} +(0.156954 - 2.64109i) q^{7} +(2.40961 - 10.5572i) q^{8} +(-2.79727 + 1.08411i) q^{9} +(-5.16666 - 1.59370i) q^{10} +(1.10421 - 0.531759i) q^{11} +(0.358019 + 10.1469i) q^{12} +(-0.0375385 + 0.500917i) q^{13} +(7.35182 + 0.992265i) q^{14} +(3.33735 + 0.131997i) q^{15} +(17.8108 + 5.49391i) q^{16} +(5.37911 - 0.810771i) q^{17} +(-2.44513 - 8.04855i) q^{18} +(-1.07046 - 1.85408i) q^{19} +(4.12975 - 10.5224i) q^{20} +(-4.54653 + 0.573653i) q^{21} +(1.25547 + 3.19888i) q^{22} +(5.42246 - 6.79955i) q^{23} +(-18.7412 - 0.741245i) q^{24} +(1.15465 + 0.556050i) q^{25} +(-1.39274 - 0.209922i) q^{26} +(2.73634 + 4.41729i) q^{27} +(-3.21727 + 15.1720i) q^{28} +(-0.0305359 + 0.0778041i) q^{29} +(-1.06837 + 9.30384i) q^{30} +(-4.39666 - 7.61524i) q^{31} +(-11.1811 + 28.4890i) q^{32} +(-1.25690 - 1.71066i) q^{33} +(1.13986 + 15.2103i) q^{34} +(4.89784 + 1.42834i) q^{35} +(17.1616 - 3.84013i) q^{36} +(-0.726269 + 1.85050i) q^{37} +(5.40847 - 2.60458i) q^{38} +(0.864781 - 0.0955715i) q^{39} +(18.8134 + 9.06004i) q^{40} +(-4.96825 - 4.60987i) q^{41} +(-0.651312 - 12.8327i) q^{42} +(0.745904 - 0.692098i) q^{43} +(-6.86515 + 2.11762i) q^{44} +(-0.837817 - 5.72398i) q^{45} +(17.8759 + 16.5864i) q^{46} +(0.296136 - 3.95166i) q^{47} +(3.68296 - 32.0727i) q^{48} +(-6.95073 - 0.829061i) q^{49} +(-1.79670 + 3.11198i) q^{50} +(-3.09298 - 8.90001i) q^{51} +(0.655235 - 2.87077i) q^{52} +(1.79138 + 4.56437i) q^{53} +(-12.9245 + 6.72543i) q^{54} +(0.525887 + 2.30406i) q^{55} +(-27.5044 - 8.02101i) q^{56} +(-2.81583 + 2.41279i) q^{57} +(-0.211148 - 0.101684i) q^{58} +(4.43117 - 4.11153i) q^{59} +(-19.2296 - 3.68091i) q^{60} +(3.13974 - 0.473240i) q^{61} +(22.2141 - 10.6978i) q^{62} +(2.42419 + 7.55800i) q^{63} +(-43.7287 - 21.0586i) q^{64} +(-0.925604 - 0.285511i) q^{65} +(5.04650 - 3.15595i) q^{66} +(-1.57249 - 2.72364i) q^{67} -31.8885 q^{68} +(-13.3029 - 7.06709i) q^{69} +(-5.02005 + 13.3955i) q^{70} +(-1.52567 + 1.91313i) q^{71} +(4.70485 + 32.1436i) q^{72} +(4.64194 - 3.16482i) q^{73} +(-5.02198 - 2.41846i) q^{74} +(0.579078 - 2.14287i) q^{75} +(4.58503 + 11.6825i) q^{76} +(-1.23111 - 2.99978i) q^{77} +(0.0860220 + 2.43802i) q^{78} +(3.52183 - 6.09999i) q^{79} +(-17.9709 + 31.1265i) q^{80} +(6.64941 - 6.06509i) q^{81} +(13.9306 - 12.9257i) q^{82} +(-0.0308233 - 0.411308i) q^{83} +(26.8552 + 0.647043i) q^{84} +(-0.783907 + 10.4605i) q^{85} +(1.77887 + 2.23063i) q^{86} +(0.142186 + 0.0272171i) q^{87} +(-2.95318 - 12.9387i) q^{88} +(0.435775 + 5.81502i) q^{89} +(16.1803 - 1.14322i) q^{90} +(1.31707 + 0.177764i) q^{91} +(-37.3720 + 34.6761i) q^{92} +(-11.5654 + 9.91003i) q^{93} +(10.9871 + 1.65604i) q^{94} +(3.94496 - 1.21686i) q^{95} +(52.0635 + 9.96592i) q^{96} +(-5.68399 - 9.84497i) q^{97} +(3.77456 - 19.2611i) q^{98} +(-2.51228 + 2.68456i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 648 q - 8 q^{2} - 13 q^{3} + 44 q^{4} + 3 q^{5} + 2 q^{6} - 7 q^{7} - 16 q^{8} - 39 q^{9} + O(q^{10}) \) \( 648 q - 8 q^{2} - 13 q^{3} + 44 q^{4} + 3 q^{5} + 2 q^{6} - 7 q^{7} - 16 q^{8} - 39 q^{9} - 22 q^{10} - 5 q^{11} + 2 q^{12} - 4 q^{13} + 52 q^{14} - 4 q^{15} + 38 q^{16} - 37 q^{17} - 16 q^{18} - 14 q^{19} - 11 q^{20} - 6 q^{21} - q^{22} - 20 q^{23} - 26 q^{24} - 97 q^{25} - 44 q^{26} + 14 q^{27} - 22 q^{28} - 53 q^{29} - 9 q^{30} + 10 q^{31} - 10 q^{32} + 2 q^{33} - 7 q^{34} - 32 q^{35} - 22 q^{36} - 39 q^{37} + 59 q^{38} - 26 q^{39} - 19 q^{40} - 17 q^{41} - 83 q^{42} - q^{43} - 31 q^{44} + 81 q^{45} + 56 q^{46} + 50 q^{47} - 23 q^{48} - 19 q^{49} - 21 q^{50} - 30 q^{51} - 9 q^{52} + 50 q^{53} + 48 q^{54} + 20 q^{55} - 239 q^{56} + 33 q^{57} + 17 q^{58} - 37 q^{59} - 152 q^{60} - 105 q^{61} - 30 q^{62} + 6 q^{63} - 88 q^{64} - 5 q^{65} - 99 q^{66} + 13 q^{67} - 290 q^{68} + 64 q^{69} + 17 q^{70} - 19 q^{71} + 11 q^{72} - 40 q^{73} - 57 q^{74} + 69 q^{75} - 41 q^{76} + 19 q^{77} + 81 q^{78} + 13 q^{79} + 163 q^{80} - 179 q^{81} - 28 q^{82} + 73 q^{83} - 341 q^{84} - 10 q^{85} + 15 q^{86} + 13 q^{87} - 13 q^{88} - 104 q^{89} + 171 q^{90} - 49 q^{91} - 91 q^{92} - 275 q^{93} - 4 q^{94} - 29 q^{95} + 231 q^{96} - 11 q^{97} - 33 q^{98} + 62 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).

\(n\) \(199\) \(344\)
\(\chi(n)\) \(e\left(\frac{5}{21}\right)\) \(e\left(\frac{1}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.209537 + 2.79608i −0.148165 + 1.97713i 0.0568965 + 0.998380i \(0.481879\pi\)
−0.205062 + 0.978749i \(0.565740\pi\)
\(3\) −0.318381 1.70254i −0.183817 0.982960i
\(4\) −5.79651 0.873684i −2.89826 0.436842i
\(5\) −0.429093 + 1.87998i −0.191896 + 0.840751i 0.783693 + 0.621148i \(0.213333\pi\)
−0.975589 + 0.219603i \(0.929524\pi\)
\(6\) 4.82715 0.533474i 1.97068 0.217790i
\(7\) 0.156954 2.64109i 0.0593231 0.998239i
\(8\) 2.40961 10.5572i 0.851927 3.73254i
\(9\) −2.79727 + 1.08411i −0.932422 + 0.361370i
\(10\) −5.16666 1.59370i −1.63384 0.503973i
\(11\) 1.10421 0.531759i 0.332932 0.160331i −0.259948 0.965623i \(-0.583705\pi\)
0.592879 + 0.805291i \(0.297991\pi\)
\(12\) 0.358019 + 10.1469i 0.103351 + 2.92917i
\(13\) −0.0375385 + 0.500917i −0.0104113 + 0.138929i −0.999987 0.00508394i \(-0.998382\pi\)
0.989576 + 0.144013i \(0.0460008\pi\)
\(14\) 7.35182 + 0.992265i 1.96486 + 0.265194i
\(15\) 3.33735 + 0.131997i 0.861699 + 0.0340816i
\(16\) 17.8108 + 5.49391i 4.45271 + 1.37348i
\(17\) 5.37911 0.810771i 1.30463 0.196641i 0.540301 0.841472i \(-0.318310\pi\)
0.764325 + 0.644831i \(0.223072\pi\)
\(18\) −2.44513 8.04855i −0.576323 1.89706i
\(19\) −1.07046 1.85408i −0.245579 0.425356i 0.716715 0.697366i \(-0.245645\pi\)
−0.962294 + 0.272010i \(0.912312\pi\)
\(20\) 4.12975 10.5224i 0.923439 2.35288i
\(21\) −4.54653 + 0.573653i −0.992134 + 0.125181i
\(22\) 1.25547 + 3.19888i 0.267667 + 0.682004i
\(23\) 5.42246 6.79955i 1.13066 1.41780i 0.235605 0.971849i \(-0.424293\pi\)
0.895056 0.445954i \(-0.147136\pi\)
\(24\) −18.7412 0.741245i −3.82554 0.151306i
\(25\) 1.15465 + 0.556050i 0.230930 + 0.111210i
\(26\) −1.39274 0.209922i −0.273138 0.0411690i
\(27\) 2.73634 + 4.41729i 0.526608 + 0.850108i
\(28\) −3.21727 + 15.1720i −0.608006 + 2.86724i
\(29\) −0.0305359 + 0.0778041i −0.00567037 + 0.0144479i −0.933681 0.358106i \(-0.883423\pi\)
0.928011 + 0.372554i \(0.121518\pi\)
\(30\) −1.06837 + 9.30384i −0.195058 + 1.69864i
\(31\) −4.39666 7.61524i −0.789664 1.36774i −0.926173 0.377099i \(-0.876922\pi\)
0.136509 0.990639i \(-0.456412\pi\)
\(32\) −11.1811 + 28.4890i −1.97656 + 5.03620i
\(33\) −1.25690 1.71066i −0.218798 0.297787i
\(34\) 1.13986 + 15.2103i 0.195484 + 2.60855i
\(35\) 4.89784 + 1.42834i 0.827887 + 0.241434i
\(36\) 17.1616 3.84013i 2.86026 0.640022i
\(37\) −0.726269 + 1.85050i −0.119398 + 0.304221i −0.978061 0.208320i \(-0.933200\pi\)
0.858663 + 0.512541i \(0.171296\pi\)
\(38\) 5.40847 2.60458i 0.877370 0.422519i
\(39\) 0.864781 0.0955715i 0.138476 0.0153037i
\(40\) 18.8134 + 9.06004i 2.97465 + 1.43252i
\(41\) −4.96825 4.60987i −0.775911 0.719940i 0.189155 0.981947i \(-0.439425\pi\)
−0.965066 + 0.262007i \(0.915616\pi\)
\(42\) −0.651312 12.8327i −0.100500 1.98012i
\(43\) 0.745904 0.692098i 0.113749 0.105544i −0.621248 0.783614i \(-0.713374\pi\)
0.734997 + 0.678070i \(0.237183\pi\)
\(44\) −6.86515 + 2.11762i −1.03496 + 0.319243i
\(45\) −0.837817 5.72398i −0.124894 0.853281i
\(46\) 17.8759 + 16.5864i 2.63566 + 2.44553i
\(47\) 0.296136 3.95166i 0.0431959 0.576409i −0.933051 0.359745i \(-0.882864\pi\)
0.976246 0.216663i \(-0.0695174\pi\)
\(48\) 3.68296 32.0727i 0.531590 4.62930i
\(49\) −6.95073 0.829061i −0.992962 0.118437i
\(50\) −1.79670 + 3.11198i −0.254092 + 0.440101i
\(51\) −3.09298 8.90001i −0.433103 1.24625i
\(52\) 0.655235 2.87077i 0.0908647 0.398104i
\(53\) 1.79138 + 4.56437i 0.246065 + 0.626964i 0.999534 0.0305195i \(-0.00971617\pi\)
−0.753469 + 0.657484i \(0.771621\pi\)
\(54\) −12.9245 + 6.72543i −1.75880 + 0.915215i
\(55\) 0.525887 + 2.30406i 0.0709106 + 0.310680i
\(56\) −27.5044 8.02101i −3.67542 1.07185i
\(57\) −2.81583 + 2.41279i −0.372966 + 0.319582i
\(58\) −0.211148 0.101684i −0.0277251 0.0133517i
\(59\) 4.43117 4.11153i 0.576890 0.535275i −0.336859 0.941555i \(-0.609365\pi\)
0.913749 + 0.406280i \(0.133174\pi\)
\(60\) −19.2296 3.68091i −2.48254 0.475203i
\(61\) 3.13974 0.473240i 0.402003 0.0605922i 0.0550708 0.998482i \(-0.482462\pi\)
0.346932 + 0.937890i \(0.387223\pi\)
\(62\) 22.2141 10.6978i 2.82120 1.35862i
\(63\) 2.42419 + 7.55800i 0.305420 + 0.952218i
\(64\) −43.7287 21.0586i −5.46609 2.63233i
\(65\) −0.925604 0.285511i −0.114807 0.0354133i
\(66\) 5.04650 3.15595i 0.621182 0.388470i
\(67\) −1.57249 2.72364i −0.192111 0.332746i 0.753839 0.657059i \(-0.228200\pi\)
−0.945950 + 0.324314i \(0.894867\pi\)
\(68\) −31.8885 −3.86704
\(69\) −13.3029 7.06709i −1.60148 0.850778i
\(70\) −5.02005 + 13.3955i −0.600010 + 1.60107i
\(71\) −1.52567 + 1.91313i −0.181063 + 0.227046i −0.864077 0.503359i \(-0.832097\pi\)
0.683014 + 0.730405i \(0.260669\pi\)
\(72\) 4.70485 + 32.1436i 0.554472 + 3.78816i
\(73\) 4.64194 3.16482i 0.543298 0.370415i −0.260354 0.965513i \(-0.583839\pi\)
0.803653 + 0.595099i \(0.202887\pi\)
\(74\) −5.02198 2.41846i −0.583793 0.281140i
\(75\) 0.579078 2.14287i 0.0668661 0.247437i
\(76\) 4.58503 + 11.6825i 0.525938 + 1.34007i
\(77\) −1.23111 2.99978i −0.140299 0.341857i
\(78\) 0.0860220 + 2.43802i 0.00974007 + 0.276052i
\(79\) 3.52183 6.09999i 0.396237 0.686303i −0.597021 0.802225i \(-0.703649\pi\)
0.993258 + 0.115923i \(0.0369825\pi\)
\(80\) −17.9709 + 31.1265i −2.00921 + 3.48005i
\(81\) 6.64941 6.06509i 0.738823 0.673899i
\(82\) 13.9306 12.9257i 1.53838 1.42741i
\(83\) −0.0308233 0.411308i −0.00338330 0.0451470i 0.995257 0.0972844i \(-0.0310157\pi\)
−0.998640 + 0.0521375i \(0.983397\pi\)
\(84\) 26.8552 + 0.647043i 2.93014 + 0.0705982i
\(85\) −0.783907 + 10.4605i −0.0850266 + 1.13460i
\(86\) 1.77887 + 2.23063i 0.191820 + 0.240535i
\(87\) 0.142186 + 0.0272171i 0.0152440 + 0.00291798i
\(88\) −2.95318 12.9387i −0.314810 1.37927i
\(89\) 0.435775 + 5.81502i 0.0461921 + 0.616390i 0.971479 + 0.237124i \(0.0762047\pi\)
−0.925287 + 0.379267i \(0.876176\pi\)
\(90\) 16.1803 1.14322i 1.70555 0.120506i
\(91\) 1.31707 + 0.177764i 0.138067 + 0.0186347i
\(92\) −37.3720 + 34.6761i −3.89630 + 3.61524i
\(93\) −11.5654 + 9.91003i −1.19928 + 1.02762i
\(94\) 10.9871 + 1.65604i 1.13323 + 0.170808i
\(95\) 3.94496 1.21686i 0.404744 0.124847i
\(96\) 52.0635 + 9.96592i 5.31371 + 1.01714i
\(97\) −5.68399 9.84497i −0.577122 0.999605i −0.995807 0.0914736i \(-0.970842\pi\)
0.418685 0.908131i \(-0.362491\pi\)
\(98\) 3.77456 19.2611i 0.381288 1.94566i
\(99\) −2.51228 + 2.68456i −0.252494 + 0.269808i
\(100\) −6.20713 4.23195i −0.620713 0.423195i
\(101\) 1.83737 8.05006i 0.182826 0.801011i −0.797452 0.603383i \(-0.793819\pi\)
0.980277 0.197628i \(-0.0633238\pi\)
\(102\) 25.5333 6.78333i 2.52817 0.671650i
\(103\) 1.17046 5.12811i 0.115329 0.505288i −0.883960 0.467563i \(-0.845132\pi\)
0.999288 0.0377243i \(-0.0120109\pi\)
\(104\) 5.19783 + 1.60332i 0.509689 + 0.157218i
\(105\) 0.872428 8.79352i 0.0851402 0.858160i
\(106\) −13.1377 + 4.05245i −1.27605 + 0.393608i
\(107\) 0.101153 + 1.34979i 0.00977881 + 0.130489i 0.999957 0.00932543i \(-0.00296842\pi\)
−0.990178 + 0.139815i \(0.955349\pi\)
\(108\) −12.0019 27.9956i −1.15488 2.69388i
\(109\) −0.103816 + 1.38533i −0.00994377 + 0.132690i −0.999966 0.00821933i \(-0.997384\pi\)
0.990022 + 0.140910i \(0.0450027\pi\)
\(110\) −6.55254 + 0.987637i −0.624760 + 0.0941675i
\(111\) 3.38178 + 0.647335i 0.320984 + 0.0614423i
\(112\) 17.3054 46.1777i 1.63521 4.36338i
\(113\) 5.16566 3.52189i 0.485945 0.331311i −0.295440 0.955361i \(-0.595466\pi\)
0.781384 + 0.624050i \(0.214514\pi\)
\(114\) −6.15635 8.37887i −0.576595 0.784753i
\(115\) 10.4563 + 13.1117i 0.975051 + 1.22268i
\(116\) 0.244978 0.424314i 0.0227456 0.0393965i
\(117\) −0.438044 1.44189i −0.0404972 0.133303i
\(118\) 10.5677 + 13.2514i 0.972834 + 1.21989i
\(119\) −1.29705 14.3340i −0.118900 1.31399i
\(120\) 9.43524 34.9150i 0.861316 3.18729i
\(121\) −5.92188 + 7.42580i −0.538352 + 0.675073i
\(122\) 0.665325 + 8.87814i 0.0602357 + 0.803789i
\(123\) −6.26667 + 9.92633i −0.565047 + 0.895027i
\(124\) 18.8320 + 47.9831i 1.69116 + 4.30901i
\(125\) −7.55227 + 9.47024i −0.675495 + 0.847044i
\(126\) −21.6407 + 5.19456i −1.92791 + 0.462768i
\(127\) 2.22669 + 2.79218i 0.197587 + 0.247766i 0.870748 0.491730i \(-0.163635\pi\)
−0.673161 + 0.739496i \(0.735064\pi\)
\(128\) 37.4399 64.8477i 3.30925 5.73179i
\(129\) −1.41580 1.04958i −0.124655 0.0924103i
\(130\) 0.992261 2.52824i 0.0870271 0.221741i
\(131\) 2.98862 + 13.0940i 0.261117 + 1.14403i 0.920042 + 0.391819i \(0.128154\pi\)
−0.658925 + 0.752208i \(0.728989\pi\)
\(132\) 5.79106 + 11.0140i 0.504047 + 0.958643i
\(133\) −5.06482 + 2.53616i −0.439175 + 0.219913i
\(134\) 7.94502 3.82612i 0.686345 0.330526i
\(135\) −9.47855 + 3.24882i −0.815784 + 0.279614i
\(136\) 4.40211 58.7421i 0.377478 5.03709i
\(137\) 2.24721 + 9.84568i 0.191992 + 0.841174i 0.975537 + 0.219837i \(0.0705527\pi\)
−0.783544 + 0.621336i \(0.786590\pi\)
\(138\) 22.5476 35.7152i 1.91938 3.04028i
\(139\) 0.577005 + 0.535382i 0.0489409 + 0.0454105i 0.704264 0.709938i \(-0.251277\pi\)
−0.655323 + 0.755349i \(0.727468\pi\)
\(140\) −27.1425 12.5586i −2.29396 1.06139i
\(141\) −6.82213 + 0.753950i −0.574527 + 0.0634940i
\(142\) −5.02958 4.66676i −0.422073 0.391626i
\(143\) 0.224917 + 0.573078i 0.0188085 + 0.0479232i
\(144\) −55.7776 + 3.94096i −4.64814 + 0.328414i
\(145\) −0.133167 0.0907919i −0.0110589 0.00753985i
\(146\) 7.87645 + 13.6424i 0.651859 + 1.12905i
\(147\) 0.801472 + 12.0978i 0.0661043 + 0.997813i
\(148\) 5.82658 10.0919i 0.478942 0.829551i
\(149\) 15.4699 7.44991i 1.26734 0.610320i 0.325236 0.945633i \(-0.394556\pi\)
0.942107 + 0.335312i \(0.108842\pi\)
\(150\) 5.87030 + 2.06816i 0.479308 + 0.168865i
\(151\) −8.20742 + 10.2918i −0.667910 + 0.837533i −0.994179 0.107744i \(-0.965637\pi\)
0.326268 + 0.945277i \(0.394209\pi\)
\(152\) −22.1533 + 6.83340i −1.79687 + 0.554262i
\(153\) −14.1679 + 8.09950i −1.14540 + 0.654806i
\(154\) 8.64560 2.81373i 0.696682 0.226737i
\(155\) 16.2031 4.99798i 1.30146 0.401448i
\(156\) −5.09621 0.201563i −0.408023 0.0161380i
\(157\) −12.7671 + 11.8461i −1.01892 + 0.945424i −0.998521 0.0543682i \(-0.982686\pi\)
−0.0204034 + 0.999792i \(0.506495\pi\)
\(158\) 16.3181 + 11.1255i 1.29820 + 0.885098i
\(159\) 7.20066 4.50310i 0.571050 0.357119i
\(160\) −48.7610 33.2447i −3.85490 2.62822i
\(161\) −17.1071 15.3884i −1.34823 1.21278i
\(162\) 15.5652 + 19.8632i 1.22292 + 1.56060i
\(163\) −14.8229 + 13.7536i −1.16102 + 1.07727i −0.165169 + 0.986265i \(0.552817\pi\)
−0.995851 + 0.0910032i \(0.970993\pi\)
\(164\) 24.7710 + 31.0618i 1.93429 + 2.42552i
\(165\) 3.75532 1.62891i 0.292351 0.126811i
\(166\) 1.15651 0.0897627
\(167\) −0.910823 + 0.137284i −0.0704816 + 0.0106234i −0.184188 0.982891i \(-0.558966\pi\)
0.113707 + 0.993514i \(0.463728\pi\)
\(168\) −4.89921 + 49.3809i −0.377982 + 3.80982i
\(169\) 12.6053 + 1.89994i 0.969638 + 0.146149i
\(170\) −29.0842 4.38374i −2.23066 0.336217i
\(171\) 5.00438 + 4.02587i 0.382695 + 0.307866i
\(172\) −4.92832 + 3.36007i −0.375781 + 0.256203i
\(173\) −3.27620 8.34763i −0.249085 0.634659i 0.750573 0.660787i \(-0.229777\pi\)
−0.999659 + 0.0261284i \(0.991682\pi\)
\(174\) −0.105895 + 0.391862i −0.00802785 + 0.0297070i
\(175\) 1.64981 2.96226i 0.124714 0.223926i
\(176\) 22.5883 3.40464i 1.70266 0.256634i
\(177\) −8.41083 6.23521i −0.632197 0.468667i
\(178\) −16.3506 −1.22553
\(179\) −7.23841 + 1.09102i −0.541025 + 0.0815463i −0.413869 0.910336i \(-0.635823\pi\)
−0.127156 + 0.991883i \(0.540585\pi\)
\(180\) −0.144535 + 33.9111i −0.0107730 + 2.52759i
\(181\) 3.90386 + 1.88000i 0.290172 + 0.139739i 0.573307 0.819341i \(-0.305660\pi\)
−0.283135 + 0.959080i \(0.591375\pi\)
\(182\) −0.773018 + 3.64540i −0.0572999 + 0.270215i
\(183\) −1.80534 5.19486i −0.133455 0.384015i
\(184\) −58.7182 73.6303i −4.32876 5.42810i
\(185\) −3.16727 2.15941i −0.232862 0.158763i
\(186\) −25.2859 34.4144i −1.85405 2.52339i
\(187\) 5.50853 3.75565i 0.402824 0.274641i
\(188\) −5.16905 + 22.6471i −0.376992 + 1.65171i
\(189\) 12.0960 6.53360i 0.879851 0.475249i
\(190\) 2.57582 + 11.2854i 0.186870 + 0.818730i
\(191\) 18.6736 + 17.3266i 1.35118 + 1.25371i 0.939575 + 0.342344i \(0.111221\pi\)
0.411601 + 0.911364i \(0.364970\pi\)
\(192\) −21.9307 + 81.1544i −1.58271 + 5.85682i
\(193\) −19.6721 + 6.06804i −1.41603 + 0.436787i −0.905966 0.423351i \(-0.860854\pi\)
−0.510062 + 0.860137i \(0.670378\pi\)
\(194\) 28.7184 13.8300i 2.06186 0.992938i
\(195\) −0.191399 + 1.66678i −0.0137063 + 0.119360i
\(196\) 39.5657 + 10.8784i 2.82612 + 0.777029i
\(197\) 18.5207 1.31954 0.659772 0.751466i \(-0.270653\pi\)
0.659772 + 0.751466i \(0.270653\pi\)
\(198\) −6.97983 7.58707i −0.496035 0.539189i
\(199\) −1.94719 1.80673i −0.138033 0.128076i 0.608135 0.793833i \(-0.291918\pi\)
−0.746168 + 0.665758i \(0.768108\pi\)
\(200\) 8.65260 10.8500i 0.611831 0.767212i
\(201\) −4.13645 + 3.54438i −0.291762 + 0.250002i
\(202\) 22.1236 + 6.82424i 1.55661 + 0.480152i
\(203\) 0.200695 + 0.0928597i 0.0140860 + 0.00651747i
\(204\) 10.1527 + 54.2913i 0.710829 + 3.80115i
\(205\) 10.7983 7.36215i 0.754185 0.514195i
\(206\) 14.0934 + 4.34723i 0.981931 + 0.302886i
\(207\) −7.79660 + 24.8987i −0.541901 + 1.73058i
\(208\) −3.42058 + 8.71550i −0.237175 + 0.604311i
\(209\) −2.16793 1.47807i −0.149959 0.102240i
\(210\) 24.4046 + 4.28195i 1.68408 + 0.295483i
\(211\) −4.53413 + 3.09131i −0.312142 + 0.212815i −0.709250 0.704957i \(-0.750966\pi\)
0.397108 + 0.917772i \(0.370014\pi\)
\(212\) −6.39595 28.0225i −0.439276 1.92459i
\(213\) 3.74291 + 1.98840i 0.256460 + 0.136243i
\(214\) −3.79532 −0.259443
\(215\) 0.981066 + 1.69926i 0.0669082 + 0.115888i
\(216\) 53.2278 18.2441i 3.62169 1.24135i
\(217\) −20.8026 + 10.4167i −1.41217 + 0.707135i
\(218\) −3.85174 0.580556i −0.260873 0.0393202i
\(219\) −6.86614 6.89546i −0.463970 0.465952i
\(220\) −1.03529 13.8150i −0.0697992 0.931406i
\(221\) 0.204205 + 2.72492i 0.0137363 + 0.183298i
\(222\) −2.51861 + 9.32009i −0.169038 + 0.625524i
\(223\) −11.6622 1.75780i −0.780960 0.117711i −0.253551 0.967322i \(-0.581599\pi\)
−0.527409 + 0.849611i \(0.676837\pi\)
\(224\) 73.4872 + 34.0018i 4.91007 + 2.27184i
\(225\) −3.83268 0.303653i −0.255512 0.0202435i
\(226\) 8.76509 + 15.1816i 0.583045 + 1.00986i
\(227\) −6.73335 −0.446908 −0.223454 0.974714i \(-0.571733\pi\)
−0.223454 + 0.974714i \(0.571733\pi\)
\(228\) 18.4300 11.5256i 1.22056 0.763305i
\(229\) −2.68727 11.7737i −0.177580 0.778028i −0.982743 0.184975i \(-0.940780\pi\)
0.805163 0.593053i \(-0.202078\pi\)
\(230\) −38.8525 + 26.4892i −2.56186 + 1.74664i
\(231\) −4.71527 + 3.05109i −0.310242 + 0.200747i
\(232\) 0.747814 + 0.509851i 0.0490964 + 0.0334734i
\(233\) −8.78487 + 22.3835i −0.575516 + 1.46639i 0.285784 + 0.958294i \(0.407746\pi\)
−0.861300 + 0.508097i \(0.830349\pi\)
\(234\) 4.12344 0.922676i 0.269558 0.0603172i
\(235\) 7.30196 + 2.25236i 0.476327 + 0.146928i
\(236\) −29.2775 + 19.9611i −1.90580 + 1.29936i
\(237\) −11.5067 4.05393i −0.747444 0.263331i
\(238\) 40.3508 0.623141i 2.61555 0.0403922i
\(239\) 16.2350 + 5.00782i 1.05015 + 0.323929i 0.771344 0.636418i \(-0.219585\pi\)
0.278808 + 0.960347i \(0.410061\pi\)
\(240\) 58.7157 + 20.6861i 3.79008 + 1.33528i
\(241\) 12.8727 16.1419i 0.829204 1.03979i −0.169325 0.985560i \(-0.554159\pi\)
0.998529 0.0542284i \(-0.0172699\pi\)
\(242\) −19.5223 18.1140i −1.25494 1.16441i
\(243\) −12.4431 9.38986i −0.798225 0.602360i
\(244\) −18.6130 −1.19158
\(245\) 4.54112 12.7115i 0.290122 0.812106i
\(246\) −26.4417 19.6021i −1.68586 1.24978i
\(247\) 0.968924 0.466609i 0.0616512 0.0296896i
\(248\) −90.9900 + 28.0667i −5.77787 + 1.78224i
\(249\) −0.690455 + 0.183431i −0.0437558 + 0.0116244i
\(250\) −24.8971 23.1011i −1.57463 1.46104i
\(251\) 4.10724 + 17.9950i 0.259247 + 1.13583i 0.922059 + 0.387049i \(0.126506\pi\)
−0.662812 + 0.748785i \(0.730637\pi\)
\(252\) −7.44856 45.9280i −0.469215 2.89319i
\(253\) 2.37181 10.3916i 0.149114 0.653312i
\(254\) −8.27375 + 5.64095i −0.519141 + 0.353945i
\(255\) 18.0590 1.99580i 1.13090 0.124982i
\(256\) 93.2713 + 63.5913i 5.82946 + 3.97446i
\(257\) −10.8543 13.6108i −0.677071 0.849020i 0.318010 0.948087i \(-0.396985\pi\)
−0.995081 + 0.0990677i \(0.968414\pi\)
\(258\) 3.23137 3.73878i 0.201177 0.232766i
\(259\) 4.77335 + 2.20859i 0.296602 + 0.137235i
\(260\) 5.11583 + 2.46365i 0.317270 + 0.152789i
\(261\) 0.00106871 0.250743i 6.61515e−5 0.0155206i
\(262\) −37.2381 + 5.61274i −2.30058 + 0.346756i
\(263\) −17.8800 −1.10253 −0.551263 0.834331i \(-0.685854\pi\)
−0.551263 + 0.834331i \(0.685854\pi\)
\(264\) −21.0884 + 9.14733i −1.29790 + 0.562979i
\(265\) −9.34957 + 1.40922i −0.574340 + 0.0865678i
\(266\) −6.03006 14.6931i −0.369727 0.900890i
\(267\) 9.76154 2.59331i 0.597397 0.158708i
\(268\) 6.73538 + 17.1615i 0.411429 + 1.04830i
\(269\) 21.8920 14.9257i 1.33478 0.910037i 0.335294 0.942114i \(-0.391164\pi\)
0.999485 + 0.0320765i \(0.0102120\pi\)
\(270\) −7.09786 27.1836i −0.431962 1.65434i
\(271\) −16.2296 2.44621i −0.985876 0.148597i −0.363735 0.931502i \(-0.618499\pi\)
−0.622141 + 0.782906i \(0.713737\pi\)
\(272\) 100.261 + 15.1119i 6.07920 + 0.916292i
\(273\) −0.116682 2.29897i −0.00706193 0.139140i
\(274\) −28.0002 + 4.22035i −1.69156 + 0.254961i
\(275\) 1.57066 0.0947144
\(276\) 70.9359 + 52.5870i 4.26984 + 3.16536i
\(277\) 8.93169 + 11.2000i 0.536653 + 0.672942i 0.974052 0.226326i \(-0.0726715\pi\)
−0.437398 + 0.899268i \(0.644100\pi\)
\(278\) −1.61788 + 1.50117i −0.0970338 + 0.0900342i
\(279\) 20.5544 + 16.5354i 1.23056 + 0.989949i
\(280\) 26.8812 48.2658i 1.60646 2.88443i
\(281\) 3.40262 + 2.31987i 0.202983 + 0.138392i 0.660546 0.750786i \(-0.270325\pi\)
−0.457562 + 0.889177i \(0.651277\pi\)
\(282\) −0.678615 19.2332i −0.0404109 1.14532i
\(283\) −12.9332 8.81771i −0.768800 0.524159i 0.114242 0.993453i \(-0.463556\pi\)
−0.883042 + 0.469294i \(0.844508\pi\)
\(284\) 10.5150 9.75651i 0.623951 0.578942i
\(285\) −3.32775 6.32902i −0.197119 0.374899i
\(286\) −1.64950 + 0.508804i −0.0975371 + 0.0300862i
\(287\) −12.9549 + 12.3981i −0.764702 + 0.731835i
\(288\) 0.391323 91.8130i 0.0230589 5.41013i
\(289\) 12.0328 3.71162i 0.707811 0.218331i
\(290\) 0.281765 0.353322i 0.0165458 0.0207478i
\(291\) −14.9518 + 12.8117i −0.876487 + 0.751033i
\(292\) −29.6721 + 14.2893i −1.73643 + 0.836221i
\(293\) 7.22305 12.5107i 0.421975 0.730882i −0.574158 0.818745i \(-0.694670\pi\)
0.996133 + 0.0878628i \(0.0280037\pi\)
\(294\) −33.9945 0.293966i −1.98260 0.0171445i
\(295\) 5.82820 + 10.0947i 0.339331 + 0.587738i
\(296\) 17.7861 + 12.1264i 1.03380 + 0.704831i
\(297\) 5.37042 + 3.42254i 0.311624 + 0.198596i
\(298\) 17.5890 + 44.8161i 1.01891 + 2.59613i
\(299\) 3.20245 + 2.97144i 0.185203 + 0.171843i
\(300\) −5.22882 + 11.9152i −0.301886 + 0.687927i
\(301\) −1.71082 2.07863i −0.0986101 0.119810i
\(302\) −27.0569 25.1051i −1.55695 1.44464i
\(303\) −14.2905 0.565213i −0.820969 0.0324706i
\(304\) −8.87952 38.9037i −0.509276 2.23128i
\(305\) −0.457560 + 6.10571i −0.0261998 + 0.349612i
\(306\) −19.6782 41.3116i −1.12493 2.36163i
\(307\) 12.6535 6.09359i 0.722172 0.347779i −0.0364283 0.999336i \(-0.511598\pi\)
0.758600 + 0.651557i \(0.225884\pi\)
\(308\) 4.51531 + 18.4639i 0.257284 + 1.05208i
\(309\) −9.10345 0.360056i −0.517877 0.0204829i
\(310\) 10.5796 + 46.3524i 0.600882 + 2.63264i
\(311\) 2.16634 5.51974i 0.122842 0.312996i −0.856203 0.516639i \(-0.827183\pi\)
0.979045 + 0.203643i \(0.0652782\pi\)
\(312\) 1.07482 9.35996i 0.0608497 0.529904i
\(313\) 0.222044 0.384592i 0.0125507 0.0217384i −0.859682 0.510830i \(-0.829338\pi\)
0.872233 + 0.489091i \(0.162672\pi\)
\(314\) −30.4476 38.1800i −1.71826 2.15462i
\(315\) −15.2491 + 1.31435i −0.859187 + 0.0740551i
\(316\) −25.7438 + 32.2817i −1.44820 + 1.81599i
\(317\) −8.79461 22.4083i −0.493954 1.25858i −0.932924 0.360073i \(-0.882752\pi\)
0.438970 0.898502i \(-0.355344\pi\)
\(318\) 11.0822 + 21.0772i 0.621461 + 1.18195i
\(319\) 0.00765506 + 0.102150i 0.000428601 + 0.00571929i
\(320\) 58.3534 73.1729i 3.26205 4.09049i
\(321\) 2.26586 0.601963i 0.126468 0.0335983i
\(322\) 46.6119 44.6085i 2.59758 2.48594i
\(323\) −7.26134 9.10543i −0.404032 0.506640i
\(324\) −43.8423 + 29.3469i −2.43569 + 1.63038i
\(325\) −0.321879 + 0.557510i −0.0178546 + 0.0309251i
\(326\) −35.3504 44.3280i −1.95788 2.45510i
\(327\) 2.39163 0.264311i 0.132257 0.0146165i
\(328\) −60.6389 + 41.3429i −3.34822 + 2.28278i
\(329\) −10.3902 1.40235i −0.572831 0.0773141i
\(330\) 3.76769 + 10.8415i 0.207405 + 0.596805i
\(331\) −17.3979 + 2.62231i −0.956276 + 0.144135i −0.608598 0.793479i \(-0.708268\pi\)
−0.347678 + 0.937614i \(0.613030\pi\)
\(332\) −0.180686 + 2.41108i −0.00991642 + 0.132325i
\(333\) 0.0254184 5.96370i 0.00139292 0.326809i
\(334\) −0.193007 2.57550i −0.0105609 0.140925i
\(335\) 5.79513 1.78756i 0.316622 0.0976648i
\(336\) −84.1290 14.7610i −4.58961 0.805279i
\(337\) 21.8379 + 6.73609i 1.18958 + 0.366938i 0.825486 0.564422i \(-0.190901\pi\)
0.364098 + 0.931360i \(0.381377\pi\)
\(338\) −7.95368 + 34.8473i −0.432623 + 1.89544i
\(339\) −7.64080 7.67343i −0.414991 0.416764i
\(340\) 13.6831 59.9496i 0.742070 3.25122i
\(341\) −8.90431 6.07086i −0.482196 0.328755i
\(342\) −12.3053 + 13.1491i −0.665393 + 0.711021i
\(343\) −3.28057 + 18.2274i −0.177134 + 0.984187i
\(344\) −5.50928 9.54235i −0.297041 0.514489i
\(345\) 18.9941 21.9767i 1.02261 1.18319i
\(346\) 24.0272 7.41140i 1.29171 0.398439i
\(347\) 16.8878 + 2.54542i 0.906584 + 0.136646i 0.585752 0.810490i \(-0.300799\pi\)
0.320832 + 0.947136i \(0.396037\pi\)
\(348\) −0.800406 0.281990i −0.0429063 0.0151163i
\(349\) 7.06962 6.55965i 0.378428 0.351130i −0.467910 0.883776i \(-0.654993\pi\)
0.846338 + 0.532646i \(0.178802\pi\)
\(350\) 7.93703 + 5.23370i 0.424252 + 0.279753i
\(351\) −2.31541 + 1.20486i −0.123588 + 0.0643105i
\(352\) 2.80301 + 37.4035i 0.149401 + 1.99361i
\(353\) 2.73858 + 11.9985i 0.145760 + 0.638617i 0.994035 + 0.109061i \(0.0347843\pi\)
−0.848275 + 0.529556i \(0.822359\pi\)
\(354\) 19.1965 22.2109i 1.02028 1.18049i
\(355\) −2.94198 3.68913i −0.156144 0.195799i
\(356\) 2.55451 34.0875i 0.135389 1.80664i
\(357\) −23.9912 + 6.77194i −1.26975 + 0.358409i
\(358\) −1.53385 20.4678i −0.0810665 1.08176i
\(359\) 19.0857 17.7089i 1.00730 0.934642i 0.00943956 0.999955i \(-0.496995\pi\)
0.997865 + 0.0653136i \(0.0208048\pi\)
\(360\) −62.4481 4.94758i −3.29130 0.260761i
\(361\) 7.20825 12.4851i 0.379382 0.657108i
\(362\) −6.07465 + 10.5216i −0.319276 + 0.553003i
\(363\) 14.5281 + 7.71799i 0.762528 + 0.405089i
\(364\) −7.47913 2.18112i −0.392013 0.114321i
\(365\) 3.95797 + 10.0847i 0.207170 + 0.527860i
\(366\) 14.9035 3.95937i 0.779021 0.206960i
\(367\) 3.40569 + 1.64009i 0.177775 + 0.0856122i 0.520655 0.853767i \(-0.325688\pi\)
−0.342879 + 0.939379i \(0.611402\pi\)
\(368\) 133.935 91.3150i 6.98182 4.76012i
\(369\) 18.8951 + 7.50889i 0.983642 + 0.390897i
\(370\) 6.70154 8.40346i 0.348396 0.436875i
\(371\) 12.3361 4.01481i 0.640457 0.208438i
\(372\) 75.6973 47.3391i 3.92472 2.45442i
\(373\) 24.0851 1.24708 0.623538 0.781793i \(-0.285695\pi\)
0.623538 + 0.781793i \(0.285695\pi\)
\(374\) 9.34688 + 16.1893i 0.483316 + 0.837127i
\(375\) 18.5279 + 9.84287i 0.956779 + 0.508284i
\(376\) −41.0049 12.6483i −2.11467 0.652288i
\(377\) −0.0378271 0.0182166i −0.00194819 0.000938201i
\(378\) 15.7339 + 35.1903i 0.809266 + 1.80999i
\(379\) 16.9622 8.16855i 0.871288 0.419590i 0.0558532 0.998439i \(-0.482212\pi\)
0.815435 + 0.578849i \(0.196498\pi\)
\(380\) −23.9301 + 3.60689i −1.22759 + 0.185030i
\(381\) 4.04486 4.68001i 0.207225 0.239764i
\(382\) −52.3594 + 48.5824i −2.67894 + 2.48569i
\(383\) 17.4698 + 8.41301i 0.892665 + 0.429885i 0.823234 0.567702i \(-0.192167\pi\)
0.0694310 + 0.997587i \(0.477882\pi\)
\(384\) −122.326 43.0965i −6.24242 2.19926i
\(385\) 6.16778 1.02728i 0.314339 0.0523552i
\(386\) −12.8447 56.2763i −0.653778 2.86439i
\(387\) −1.33618 + 2.74463i −0.0679220 + 0.139517i
\(388\) 24.3460 + 62.0325i 1.23598 + 3.14922i
\(389\) −6.50432 + 28.4973i −0.329782 + 1.44487i 0.489764 + 0.871855i \(0.337083\pi\)
−0.819546 + 0.573014i \(0.805774\pi\)
\(390\) −4.62034 0.884419i −0.233960 0.0447843i
\(391\) 23.6551 40.9719i 1.19629 2.07204i
\(392\) −25.5012 + 71.3826i −1.28800 + 3.60537i
\(393\) 21.3415 9.25711i 1.07654 0.466960i
\(394\) −3.88078 + 51.7853i −0.195511 + 2.60891i
\(395\) 9.95665 + 9.23842i 0.500974 + 0.464836i
\(396\) 16.9079 13.3661i 0.849656 0.671673i
\(397\) 34.6581 10.6906i 1.73944 0.536547i 0.747614 0.664134i \(-0.231199\pi\)
0.991827 + 0.127587i \(0.0407232\pi\)
\(398\) 5.45977 5.06593i 0.273674 0.253932i
\(399\) 5.93046 + 7.81557i 0.296894 + 0.391268i
\(400\) 17.5104 + 16.2473i 0.875519 + 0.812363i
\(401\) −4.83942 2.33054i −0.241669 0.116382i 0.309129 0.951020i \(-0.399962\pi\)
−0.550798 + 0.834638i \(0.685677\pi\)
\(402\) −9.04365 12.3085i −0.451056 0.613894i
\(403\) 3.97965 1.91650i 0.198240 0.0954675i
\(404\) −17.6836 + 45.0570i −0.879790 + 2.24167i
\(405\) 8.54903 + 15.1032i 0.424805 + 0.750485i
\(406\) −0.301696 + 0.541702i −0.0149729 + 0.0268842i
\(407\) 0.182069 + 2.42954i 0.00902482 + 0.120428i
\(408\) −101.412 + 11.2076i −5.02065 + 0.554859i
\(409\) −11.9467 + 30.4396i −0.590725 + 1.50514i 0.252509 + 0.967595i \(0.418744\pi\)
−0.843234 + 0.537547i \(0.819351\pi\)
\(410\) 18.3225 + 31.7355i 0.904885 + 1.56731i
\(411\) 16.0472 6.96064i 0.791549 0.343343i
\(412\) −11.2649 + 28.7025i −0.554983 + 1.41407i
\(413\) −10.1634 12.3485i −0.500110 0.607628i
\(414\) −67.9851 27.0171i −3.34129 1.32782i
\(415\) 0.786477 + 0.118542i 0.0386066 + 0.00581901i
\(416\) −13.8509 6.67024i −0.679097 0.327036i
\(417\) 0.727801 1.15283i 0.0356406 0.0564542i
\(418\) 4.58707 5.75201i 0.224361 0.281340i
\(419\) 4.01899 + 10.2402i 0.196341 + 0.500268i 0.994808 0.101770i \(-0.0324507\pi\)
−0.798467 + 0.602038i \(0.794355\pi\)
\(420\) −12.7398 + 50.2095i −0.621638 + 2.44997i
\(421\) 1.57570 4.01482i 0.0767950 0.195670i −0.887321 0.461153i \(-0.847436\pi\)
0.964116 + 0.265482i \(0.0855312\pi\)
\(422\) −7.69350 13.3255i −0.374514 0.648677i
\(423\) 3.45566 + 11.3749i 0.168020 + 0.553066i
\(424\) 52.5035 7.91363i 2.54980 0.384320i
\(425\) 6.66182 + 2.05490i 0.323146 + 0.0996773i
\(426\) −6.34402 + 10.0489i −0.307369 + 0.486868i
\(427\) −0.757075 8.36663i −0.0366374 0.404889i
\(428\) 0.592956 7.91245i 0.0286616 0.382463i
\(429\) 0.904078 0.565386i 0.0436493 0.0272971i
\(430\) −4.95683 + 2.38708i −0.239040 + 0.115115i
\(431\) 10.7227 + 3.30751i 0.516494 + 0.159317i 0.542034 0.840357i \(-0.317654\pi\)
−0.0255403 + 0.999674i \(0.508131\pi\)
\(432\) 24.4682 + 93.7088i 1.17723 + 4.50857i
\(433\) −5.30785 + 23.2552i −0.255079 + 1.11757i 0.671361 + 0.741131i \(0.265710\pi\)
−0.926440 + 0.376443i \(0.877147\pi\)
\(434\) −24.7672 60.3486i −1.18886 2.89682i
\(435\) −0.112179 + 0.255629i −0.00537855 + 0.0122564i
\(436\) 1.81211 7.93937i 0.0867843 0.380227i
\(437\) −18.4114 2.77508i −0.880738 0.132750i
\(438\) 20.7190 17.7534i 0.989992 0.848291i
\(439\) 2.63993 35.2275i 0.125997 1.68132i −0.473387 0.880854i \(-0.656969\pi\)
0.599384 0.800461i \(-0.295412\pi\)
\(440\) 25.5917 1.22003
\(441\) 20.3418 5.21626i 0.968659 0.248393i
\(442\) −7.66190 −0.364439
\(443\) −1.19618 + 15.9619i −0.0568320 + 0.758371i 0.893882 + 0.448302i \(0.147971\pi\)
−0.950714 + 0.310069i \(0.899648\pi\)
\(444\) −19.0370 6.70689i −0.903454 0.318295i
\(445\) −11.1191 1.67593i −0.527095 0.0794468i
\(446\) 7.35862 32.2402i 0.348441 1.52662i
\(447\) −17.6091 23.9662i −0.832880 1.13356i
\(448\) −62.4812 + 112.186i −2.95196 + 5.30030i
\(449\) 4.27086 18.7119i 0.201554 0.883067i −0.768437 0.639926i \(-0.778965\pi\)
0.969991 0.243141i \(-0.0781778\pi\)
\(450\) 1.65213 10.6529i 0.0778821 0.502181i
\(451\) −7.93733 2.44834i −0.373754 0.115288i
\(452\) −33.0198 + 15.9015i −1.55312 + 0.747944i
\(453\) 20.1352 + 10.6967i 0.946035 + 0.502576i
\(454\) 1.41089 18.8270i 0.0662163 0.883595i
\(455\) −0.899338 + 2.39979i −0.0421616 + 0.112504i
\(456\) 18.6873 + 35.5413i 0.875114 + 1.66437i
\(457\) −8.54324 2.63524i −0.399636 0.123271i 0.0884210 0.996083i \(-0.471818\pi\)
−0.488057 + 0.872812i \(0.662294\pi\)
\(458\) 33.4833 5.04680i 1.56457 0.235821i
\(459\) 18.3005 + 21.5426i 0.854193 + 1.00552i
\(460\) −49.1543 85.1377i −2.29183 3.96957i
\(461\) −10.7450 + 27.3777i −0.500443 + 1.27511i 0.428050 + 0.903755i \(0.359201\pi\)
−0.928492 + 0.371352i \(0.878894\pi\)
\(462\) −7.54308 13.8236i −0.350936 0.643133i
\(463\) 1.14137 + 2.90816i 0.0530440 + 0.135154i 0.954940 0.296800i \(-0.0959195\pi\)
−0.901896 + 0.431954i \(0.857824\pi\)
\(464\) −0.971317 + 1.21799i −0.0450923 + 0.0565439i
\(465\) −13.6680 25.9951i −0.633838 1.20549i
\(466\) −60.7453 29.2534i −2.81397 1.35514i
\(467\) −23.6285 3.56143i −1.09340 0.164803i −0.422507 0.906360i \(-0.638850\pi\)
−0.670890 + 0.741557i \(0.734088\pi\)
\(468\) 1.27937 + 8.74066i 0.0591388 + 0.404037i
\(469\) −7.44019 + 3.72561i −0.343556 + 0.172033i
\(470\) −7.82781 + 19.9449i −0.361070 + 0.919991i
\(471\) 24.2333 + 17.9649i 1.11661 + 0.827777i
\(472\) −32.7289 56.6880i −1.50647 2.60928i
\(473\) 0.455605 1.16086i 0.0209487 0.0533765i
\(474\) 13.7462 31.3244i 0.631385 1.43878i
\(475\) −0.205038 2.73604i −0.00940780 0.125538i
\(476\) −5.00503 + 84.2203i −0.229405 + 3.86023i
\(477\) −9.95925 10.8257i −0.456003 0.495675i
\(478\) −17.4041 + 44.3450i −0.796045 + 2.02829i
\(479\) −13.4658 + 6.48478i −0.615267 + 0.296297i −0.715441 0.698673i \(-0.753774\pi\)
0.100174 + 0.994970i \(0.468060\pi\)
\(480\) −41.0758 + 93.6019i −1.87484 + 4.27232i
\(481\) −0.899684 0.433265i −0.0410221 0.0197552i
\(482\) 42.4367 + 39.3755i 1.93294 + 1.79350i
\(483\) −20.7528 + 34.0249i −0.944284 + 1.54819i
\(484\) 40.8140 37.8699i 1.85518 1.72136i
\(485\) 20.9473 6.46138i 0.951167 0.293396i
\(486\) 28.8621 32.8244i 1.30921 1.48894i
\(487\) −13.3157 12.3552i −0.603392 0.559866i 0.318201 0.948023i \(-0.396921\pi\)
−0.921593 + 0.388157i \(0.873112\pi\)
\(488\) 2.56947 34.2873i 0.116315 1.55211i
\(489\) 28.1354 + 20.8576i 1.27233 + 0.943216i
\(490\) 34.5908 + 15.3609i 1.56265 + 0.693934i
\(491\) −17.0498 + 29.5312i −0.769449 + 1.33272i 0.168414 + 0.985716i \(0.446136\pi\)
−0.937862 + 0.347008i \(0.887198\pi\)
\(492\) 44.9973 52.0630i 2.02864 2.34718i
\(493\) −0.101175 + 0.443275i −0.00455667 + 0.0199641i
\(494\) 1.10165 + 2.80696i 0.0495657 + 0.126291i
\(495\) −3.96891 5.87496i −0.178389 0.264060i
\(496\) −36.4707 159.789i −1.63758 7.17472i
\(497\) 4.81328 + 4.32970i 0.215905 + 0.194214i
\(498\) −0.368211 1.96900i −0.0164999 0.0882332i
\(499\) −6.37316 3.06915i −0.285302 0.137394i 0.285760 0.958301i \(-0.407754\pi\)
−0.571062 + 0.820907i \(0.693468\pi\)
\(500\) 52.0508 48.2961i 2.32778 2.15987i
\(501\) 0.523721 + 1.50700i 0.0233981 + 0.0673279i
\(502\) −51.1761 + 7.71356i −2.28410 + 0.344273i
\(503\) −8.48466 + 4.08600i −0.378312 + 0.182186i −0.613370 0.789796i \(-0.710186\pi\)
0.235058 + 0.971981i \(0.424472\pi\)
\(504\) 85.6327 7.38086i 3.81438 0.328770i
\(505\) 14.3455 + 6.90844i 0.638368 + 0.307422i
\(506\) 28.5587 + 8.80919i 1.26959 + 0.391616i
\(507\) −0.778561 22.0659i −0.0345771 0.979980i
\(508\) −10.4676 18.1304i −0.464423 0.804404i
\(509\) −15.5545 −0.689441 −0.344720 0.938705i \(-0.612026\pi\)
−0.344720 + 0.938705i \(0.612026\pi\)
\(510\) 1.79637 + 50.9126i 0.0795448 + 2.25445i
\(511\) −7.63002 12.7565i −0.337532 0.564316i
\(512\) −103.977 + 130.383i −4.59517 + 5.76216i
\(513\) 5.26090 9.80191i 0.232275 0.432765i
\(514\) 40.3314 27.4974i 1.77894 1.21286i
\(515\) 9.13849 + 4.40087i 0.402690 + 0.193925i
\(516\) 7.28972 + 7.32086i 0.320912 + 0.322283i
\(517\) −1.77434 4.52093i −0.0780352 0.198830i
\(518\) −7.17559 + 12.8839i −0.315277 + 0.566087i
\(519\) −13.1691 + 8.23558i −0.578058 + 0.361502i
\(520\) −5.24455 + 9.08383i −0.229989 + 0.398352i
\(521\) −12.6498 + 21.9101i −0.554199 + 0.959900i 0.443767 + 0.896142i \(0.353642\pi\)
−0.997965 + 0.0637580i \(0.979691\pi\)
\(522\) 0.700874 + 0.0555283i 0.0306764 + 0.00243041i
\(523\) 14.5376 13.4889i 0.635684 0.589828i −0.295070 0.955476i \(-0.595343\pi\)
0.930753 + 0.365647i \(0.119152\pi\)
\(524\) −5.88356 78.5106i −0.257024 3.42975i
\(525\) −5.56863 1.86573i −0.243035 0.0814271i
\(526\) 3.74652 49.9939i 0.163356 2.17984i
\(527\) −29.8244 37.3986i −1.29917 1.62911i
\(528\) −12.9882 37.3735i −0.565240 1.62647i
\(529\) −11.7128 51.3171i −0.509252 2.23118i
\(530\) −1.98121 26.4375i −0.0860585 1.14837i
\(531\) −7.93783 + 16.3049i −0.344472 + 0.707574i
\(532\) 31.5741 10.2759i 1.36891 0.445515i
\(533\) 2.49566 2.31563i 0.108099 0.100301i
\(534\) 5.20571 + 27.8375i 0.225273 + 1.20465i
\(535\) −2.58098 0.389020i −0.111585 0.0168188i
\(536\) −32.5431 + 10.0382i −1.40565 + 0.433585i
\(537\) 4.16207 + 11.9763i 0.179606 + 0.516816i
\(538\) 37.1463 + 64.3394i 1.60149 + 2.77387i
\(539\) −8.11592 + 2.78066i −0.349578 + 0.119771i
\(540\) 57.7810 10.5506i 2.48650 0.454024i
\(541\) −18.4094 12.5513i −0.791483 0.539624i 0.0987592 0.995111i \(-0.468513\pi\)
−0.890242 + 0.455487i \(0.849465\pi\)
\(542\) 10.2405 44.8666i 0.439868 1.92719i
\(543\) 1.95786 7.24503i 0.0840197 0.310914i
\(544\) −37.0465 + 162.311i −1.58835 + 6.95903i
\(545\) −2.55984 0.789606i −0.109651 0.0338230i
\(546\) 6.45255 + 0.155466i 0.276144 + 0.00665334i
\(547\) 17.8871 5.51745i 0.764799 0.235909i 0.112275 0.993677i \(-0.464186\pi\)
0.652524 + 0.757768i \(0.273710\pi\)
\(548\) −4.42398 59.0340i −0.188983 2.52181i
\(549\) −8.26966 + 4.72761i −0.352940 + 0.201769i
\(550\) −0.329112 + 4.39170i −0.0140334 + 0.187263i
\(551\) 0.176942 0.0266698i 0.00753800 0.00113617i
\(552\) −106.664 + 123.412i −4.53990 + 5.25278i
\(553\) −15.5579 10.2589i −0.661588 0.436253i
\(554\) −33.1876 + 22.6269i −1.41001 + 0.961326i
\(555\) −2.66807 + 6.07990i −0.113253 + 0.258077i
\(556\) −2.87686 3.60747i −0.122006 0.152991i
\(557\) 0.742022 1.28522i 0.0314405 0.0544565i −0.849877 0.526981i \(-0.823324\pi\)
0.881318 + 0.472525i \(0.156657\pi\)
\(558\) −50.5413 + 54.0070i −2.13958 + 2.28630i
\(559\) 0.318683 + 0.399616i 0.0134789 + 0.0169020i
\(560\) 79.3875 + 52.3483i 3.35473 + 2.21212i
\(561\) −8.14795 8.18276i −0.344007 0.345476i
\(562\) −7.19951 + 9.02790i −0.303693 + 0.380819i
\(563\) 2.48859 + 33.2080i 0.104882 + 1.39955i 0.762885 + 0.646534i \(0.223782\pi\)
−0.658003 + 0.753015i \(0.728599\pi\)
\(564\) 40.2033 + 1.59010i 1.69286 + 0.0669554i
\(565\) 4.40452 + 11.2225i 0.185300 + 0.472136i
\(566\) 27.3650 34.3147i 1.15024 1.44235i
\(567\) −14.9748 18.5136i −0.628883 0.777500i
\(568\) 16.5210 + 20.7167i 0.693206 + 0.869253i
\(569\) −1.78666 + 3.09459i −0.0749007 + 0.129732i −0.901043 0.433730i \(-0.857197\pi\)
0.826142 + 0.563461i \(0.190531\pi\)
\(570\) 18.3937 7.97849i 0.770429 0.334182i
\(571\) 1.38562 3.53050i 0.0579864 0.147747i −0.898945 0.438062i \(-0.855665\pi\)
0.956931 + 0.290315i \(0.0937602\pi\)
\(572\) −0.803043 3.51836i −0.0335769 0.147110i
\(573\) 23.5538 37.3090i 0.983976 1.55861i
\(574\) −31.9515 38.8207i −1.33363 1.62035i
\(575\) 10.0419 4.83594i 0.418777 0.201673i
\(576\) 145.151 + 11.4999i 6.04795 + 0.479162i
\(577\) −2.79627 + 37.3137i −0.116410 + 1.55339i 0.567223 + 0.823564i \(0.308018\pi\)
−0.683634 + 0.729825i \(0.739601\pi\)
\(578\) 7.85669 + 34.4224i 0.326795 + 1.43178i
\(579\) 16.5943 + 31.5605i 0.689635 + 1.31161i
\(580\) 0.692582 + 0.642622i 0.0287579 + 0.0266834i
\(581\) −1.09114 + 0.0168506i −0.0452682 + 0.000699080i
\(582\) −32.6895 44.4909i −1.35502 1.84421i
\(583\) 4.40520 + 4.08743i 0.182445 + 0.169284i
\(584\) −22.2264 56.6320i −0.919735 2.34345i
\(585\) 2.89869 0.204807i 0.119846 0.00846771i
\(586\) 33.4674 + 22.8177i 1.38253 + 0.942590i
\(587\) 4.56936 + 7.91436i 0.188598 + 0.326661i 0.944783 0.327697i \(-0.106272\pi\)
−0.756185 + 0.654358i \(0.772939\pi\)
\(588\) 5.92394 70.8255i 0.244299 2.92079i
\(589\) −9.41286 + 16.3036i −0.387850 + 0.671776i
\(590\) −29.4469 + 14.1809i −1.21231 + 0.583818i
\(591\) −5.89663 31.5321i −0.242555 1.29706i
\(592\) −23.1019 + 28.9689i −0.949484 + 1.19061i
\(593\) −20.8737 + 6.43870i −0.857182 + 0.264406i −0.692036 0.721863i \(-0.743286\pi\)
−0.165146 + 0.986269i \(0.552810\pi\)
\(594\) −10.6950 + 14.2990i −0.438822 + 0.586695i
\(595\) 27.5041 + 3.71219i 1.12756 + 0.152185i
\(596\) −96.1803 + 29.6677i −3.93970 + 1.21524i
\(597\) −2.45607 + 3.89039i −0.100520 + 0.159223i
\(598\) −8.97943 + 8.33170i −0.367196 + 0.340708i
\(599\) −1.23858 0.844447i −0.0506068 0.0345032i 0.537752 0.843103i \(-0.319274\pi\)
−0.588359 + 0.808600i \(0.700226\pi\)
\(600\) −21.2274 11.2769i −0.866604 0.460379i
\(601\) −4.63070 3.15716i −0.188890 0.128783i 0.465183 0.885215i \(-0.345989\pi\)
−0.654073 + 0.756432i \(0.726941\pi\)
\(602\) 6.17050 4.34805i 0.251491 0.177213i
\(603\) 7.35141 + 5.91399i 0.299373 + 0.240836i
\(604\) 56.5662 52.4857i 2.30164 2.13561i
\(605\) −11.4193 14.3194i −0.464261 0.582164i
\(606\) 4.57478 39.8390i 0.185838 1.61835i
\(607\) −24.3497 −0.988325 −0.494163 0.869370i \(-0.664525\pi\)
−0.494163 + 0.869370i \(0.664525\pi\)
\(608\) 64.7899 9.76551i 2.62758 0.396044i
\(609\) 0.0941996 0.371255i 0.00381716 0.0150440i
\(610\) −16.9762 2.55875i −0.687346 0.103601i
\(611\) 1.96833 + 0.296679i 0.0796303 + 0.0120023i
\(612\) 89.2005 34.5706i 3.60572 1.39743i
\(613\) −38.0654 + 25.9525i −1.53745 + 1.04821i −0.562224 + 0.826985i \(0.690054\pi\)
−0.975222 + 0.221229i \(0.928993\pi\)
\(614\) 14.3868 + 36.6570i 0.580604 + 1.47936i
\(615\) −15.9723 16.0405i −0.644065 0.646816i
\(616\) −34.6358 + 5.76882i −1.39552 + 0.232432i
\(617\) −18.1272 + 2.73224i −0.729775 + 0.109996i −0.503411 0.864047i \(-0.667922\pi\)
−0.226364 + 0.974043i \(0.572684\pi\)
\(618\) 2.91426 25.3786i 0.117229 1.02088i
\(619\) 11.2892 0.453752 0.226876 0.973924i \(-0.427149\pi\)
0.226876 + 0.973924i \(0.427149\pi\)
\(620\) −98.2879 + 14.8145i −3.94734 + 0.594965i
\(621\) 44.8732 + 5.34674i 1.80070 + 0.214557i
\(622\) 14.9797 + 7.21386i 0.600633 + 0.289249i
\(623\) 15.4264 0.238231i 0.618045 0.00954453i
\(624\) 15.9275 + 3.04882i 0.637611 + 0.122051i
\(625\) −10.5680 13.2519i −0.422720 0.530074i
\(626\) 1.02882 + 0.701440i 0.0411201 + 0.0280352i
\(627\) −1.82624 + 4.16158i −0.0729332 + 0.166197i
\(628\) 84.3543 57.5118i 3.36610 2.29497i
\(629\) −2.40635 + 10.5429i −0.0959474 + 0.420373i
\(630\) −0.479776 42.9130i −0.0191147 1.70970i
\(631\) 1.13802 + 4.98601i 0.0453040 + 0.198490i 0.992515 0.122120i \(-0.0389693\pi\)
−0.947211 + 0.320610i \(0.896112\pi\)
\(632\) −55.9126 51.8793i −2.22409 2.06365i
\(633\) 6.70666 + 6.73530i 0.266566 + 0.267704i
\(634\) 64.4982 19.8951i 2.56155 0.790134i
\(635\) −6.20470 + 2.98803i −0.246226 + 0.118576i
\(636\) −45.6730 + 19.8112i −1.81105 + 0.785564i
\(637\) 0.676210 3.45061i 0.0267924 0.136718i
\(638\) −0.287223 −0.0113713
\(639\) 2.19366 7.00552i 0.0867798 0.277134i
\(640\) 105.847 + 98.2118i 4.18398 + 3.88216i
\(641\) 16.2090 20.3254i 0.640216 0.802806i −0.350814 0.936445i \(-0.614095\pi\)
0.991030 + 0.133639i \(0.0426664\pi\)
\(642\) 1.20836 + 6.46167i 0.0476900 + 0.255022i
\(643\) 33.0182 + 10.1848i 1.30211 + 0.401648i 0.866811 0.498637i \(-0.166166\pi\)
0.435301 + 0.900285i \(0.356642\pi\)
\(644\) 85.7172 + 104.145i 3.37773 + 4.10390i
\(645\) 2.58070 2.21131i 0.101615 0.0870704i
\(646\) 26.9811 18.3954i 1.06156 0.723756i
\(647\) 8.84295 + 2.72769i 0.347652 + 0.107237i 0.463664 0.886011i \(-0.346535\pi\)
−0.116011 + 0.993248i \(0.537011\pi\)
\(648\) −48.0080 84.8137i −1.88593 3.33180i
\(649\) 2.70660 6.89631i 0.106243 0.270704i
\(650\) −1.49140 1.01682i −0.0584975 0.0398829i
\(651\) 24.3581 + 32.1008i 0.954668 + 1.25813i
\(652\) 97.9375 66.7726i 3.83553 2.61502i
\(653\) −5.10323 22.3587i −0.199705 0.874963i −0.971112 0.238622i \(-0.923304\pi\)
0.771408 0.636341i \(-0.219553\pi\)
\(654\) 0.237901 + 6.74257i 0.00930267 + 0.263655i
\(655\) −25.8988 −1.01195
\(656\) −63.1625 109.401i −2.46608 4.27138i
\(657\) −9.55374 + 13.8852i −0.372727 + 0.541715i
\(658\) 6.09823 28.7581i 0.237734 1.12111i
\(659\) 27.7920 + 4.18898i 1.08262 + 0.163179i 0.666039 0.745917i \(-0.267989\pi\)
0.416586 + 0.909096i \(0.363227\pi\)
\(660\) −23.1909 + 6.16105i −0.902705 + 0.239818i
\(661\) −0.311263 4.15352i −0.0121067 0.161553i −0.999980 0.00629213i \(-0.997997\pi\)
0.987873 0.155261i \(-0.0496219\pi\)
\(662\) −3.68669 49.1955i −0.143287 1.91204i
\(663\) 4.57427 1.21523i 0.177650 0.0471956i
\(664\) −4.41654 0.665687i −0.171395 0.0258337i
\(665\) −2.59466 10.6100i −0.100616 0.411438i
\(666\) 16.6697 + 1.32069i 0.645937 + 0.0511757i
\(667\) 0.363453 + 0.629519i 0.0140730 + 0.0243751i
\(668\) 5.39954 0.208914
\(669\) 0.720313 + 20.4150i 0.0278489 + 0.789290i
\(670\) 3.78387 + 16.5782i 0.146184 + 0.640472i
\(671\) 3.21528 2.19214i 0.124125 0.0846268i
\(672\) 34.4925 135.940i 1.33058 5.24401i
\(673\) −15.7144 10.7139i −0.605747 0.412991i 0.221235 0.975221i \(-0.428991\pi\)
−0.826981 + 0.562230i \(0.809944\pi\)
\(674\) −23.4105 + 59.6490i −0.901740 + 2.29759i
\(675\) 0.703273 + 6.62197i 0.0270690 + 0.254880i
\(676\) −71.4068 22.0261i −2.74641 0.847157i
\(677\) 22.4946 15.3366i 0.864539 0.589433i −0.0478054 0.998857i \(-0.515223\pi\)
0.912344 + 0.409424i \(0.134270\pi\)
\(678\) 23.0566 19.7564i 0.885483 0.758741i
\(679\) −26.8936 + 13.4667i −1.03208 + 0.516806i
\(680\) 108.545 + 33.4817i 4.16251 + 1.28396i
\(681\) 2.14377 + 11.4638i 0.0821495 + 0.439293i
\(682\) 18.8404 23.6251i 0.721437 0.904653i
\(683\) 21.2444 + 19.7120i 0.812896 + 0.754257i 0.972495 0.232925i \(-0.0748296\pi\)
−0.159599 + 0.987182i \(0.551020\pi\)
\(684\) −25.4906 27.7083i −0.974658 1.05945i
\(685\) −19.4739 −0.744060
\(686\) −50.2779 12.9921i −1.91962 0.496040i
\(687\) −19.1896 + 8.32370i −0.732128 + 0.317569i
\(688\) 17.0875 8.22890i 0.651454 0.313724i
\(689\) −2.35361 + 0.725993i −0.0896655 + 0.0276581i
\(690\) 57.4687 + 57.7141i 2.18779 + 2.19714i
\(691\) −29.5914 27.4568i −1.12571 1.04451i −0.998615 0.0526158i \(-0.983244\pi\)
−0.127095 0.991891i \(-0.540565\pi\)
\(692\) 11.6974 + 51.2495i 0.444667 + 1.94821i
\(693\) 6.69585 + 7.05652i 0.254354 + 0.268055i
\(694\) −10.6558 + 46.6863i −0.404490 + 1.77219i
\(695\) −1.25410 + 0.855028i −0.0475705 + 0.0324330i
\(696\) 0.629951 1.43551i 0.0238782 0.0544128i
\(697\) −30.4624 20.7689i −1.15384 0.786678i
\(698\) 16.8600 + 21.1417i 0.638160 + 0.800227i
\(699\) 40.9057 + 7.83010i 1.54719 + 0.296161i
\(700\) −12.1512 + 15.7294i −0.459272 + 0.594515i
\(701\) 19.3941 + 9.33973i 0.732507 + 0.352757i 0.762670 0.646788i \(-0.223888\pi\)
−0.0301629 + 0.999545i \(0.509603\pi\)
\(702\) −2.88371 6.72655i −0.108839 0.253877i
\(703\) 4.20842 0.634318i 0.158724 0.0239237i
\(704\) −59.4838 −2.24188
\(705\) 1.50992 13.1490i 0.0568668 0.495219i
\(706\) −34.1227 + 5.14317i −1.28422 + 0.193566i
\(707\) −20.9726 6.11616i −0.788754 0.230022i
\(708\) 43.3059 + 43.4909i 1.62753 + 1.63449i
\(709\) −10.9342 27.8598i −0.410641 1.04630i −0.975283 0.220961i \(-0.929081\pi\)
0.564641 0.825336i \(-0.309014\pi\)
\(710\) 10.9316 7.45302i 0.410254 0.279707i
\(711\) −3.23844 + 20.8814i −0.121451 + 0.783112i
\(712\) 62.4404 + 9.41138i 2.34005 + 0.352706i
\(713\) −75.6209 11.3980i −2.83203 0.426859i
\(714\) −13.9078 68.5004i −0.520488 2.56356i
\(715\) −1.17388 + 0.176935i −0.0439008 + 0.00661698i
\(716\) 42.9108 1.60365
\(717\) 3.35710 29.2350i 0.125373 1.09180i
\(718\) 45.5165 + 57.0759i 1.69866 + 2.13005i
\(719\) 0.191953 0.178106i 0.00715863 0.00664224i −0.676585 0.736364i \(-0.736541\pi\)
0.683744 + 0.729722i \(0.260351\pi\)
\(720\) 16.5248 106.552i 0.615845 3.97095i
\(721\) −13.3601 3.89616i −0.497556 0.145101i
\(722\) 33.3989 + 22.7710i 1.24298 + 0.847447i
\(723\) −31.5805 16.7770i −1.17449 0.623943i
\(724\) −20.9863 14.3082i −0.779948 0.531760i
\(725\) −0.0785212 + 0.0728570i −0.00291620 + 0.00270584i
\(726\) −24.6243 + 39.0046i −0.913894 + 1.44760i
\(727\) 39.8027 12.2775i 1.47620 0.455347i 0.550895 0.834574i \(-0.314286\pi\)
0.925303 + 0.379227i \(0.123810\pi\)
\(728\) 5.05033 13.4763i 0.187178 0.499465i
\(729\) −12.0249 + 24.1744i −0.445368 + 0.895348i
\(730\) −29.0271 + 8.95369i −1.07434 + 0.331391i
\(731\) 3.45117 4.32763i 0.127646 0.160063i
\(732\) 5.92603 + 31.6894i 0.219032 + 1.17127i
\(733\) 43.3140 20.8589i 1.59984 0.770442i 0.600270 0.799798i \(-0.295060\pi\)
0.999569 + 0.0293559i \(0.00934560\pi\)
\(734\) −5.29946 + 9.17893i −0.195606 + 0.338800i
\(735\) −23.0876 3.68434i −0.851598 0.135899i
\(736\) 133.083 + 230.507i 4.90552 + 8.49660i
\(737\) −3.18468 2.17128i −0.117309 0.0799801i
\(738\) −24.9547 + 51.2590i −0.918596 + 1.88687i
\(739\) −2.43351 6.20049i −0.0895182 0.228089i 0.879102 0.476633i \(-0.158143\pi\)
−0.968620 + 0.248545i \(0.920048\pi\)
\(740\) 16.4725 + 15.2842i 0.605539 + 0.561859i
\(741\) −1.10291 1.50107i −0.0405163 0.0551432i
\(742\) 8.64086 + 35.3339i 0.317216 + 1.29715i
\(743\) −27.2084 25.2457i −0.998179 0.926175i −0.000908030 1.00000i \(-0.500289\pi\)
−0.997271 + 0.0738246i \(0.976480\pi\)
\(744\) 76.7541 + 145.978i 2.81394 + 5.35181i
\(745\) 7.36764 + 32.2798i 0.269930 + 1.18264i
\(746\) −5.04672 + 67.3438i −0.184774 + 2.46563i
\(747\) 0.532125 + 1.11712i 0.0194694 + 0.0408734i
\(748\) −35.2115 + 16.9570i −1.28746 + 0.620009i
\(749\) 3.58079 0.0552985i 0.130839 0.00202056i
\(750\) −31.4038 + 49.7432i −1.14670 + 1.81636i
\(751\) 9.71316 + 42.5561i 0.354438 + 1.55290i 0.766807 + 0.641878i \(0.221844\pi\)
−0.412368 + 0.911017i \(0.635298\pi\)
\(752\) 26.9845 68.7554i 0.984023 2.50725i
\(753\) 29.3295 12.7220i 1.06883 0.463615i
\(754\) 0.0588612 0.101951i 0.00214360 0.00371282i
\(755\) −15.8266 19.8459i −0.575988 0.722266i
\(756\) −75.8226 + 27.3040i −2.75764 + 0.993039i
\(757\) −7.60722 + 9.53915i −0.276489 + 0.346706i −0.900615 0.434617i \(-0.856884\pi\)
0.624126 + 0.781323i \(0.285455\pi\)
\(758\) 19.2857 + 49.1392i 0.700489 + 1.78482i
\(759\) −18.4472 0.729615i −0.669590 0.0264833i
\(760\) −3.34080 44.5799i −0.121184 1.61708i
\(761\) 7.28482 9.13488i 0.264075 0.331139i −0.632062 0.774918i \(-0.717791\pi\)
0.896136 + 0.443779i \(0.146362\pi\)
\(762\) 12.2381 + 12.2904i 0.443341 + 0.445234i
\(763\) 3.64248 + 0.491621i 0.131867 + 0.0177979i
\(764\) −93.1039 116.749i −3.36838 4.22382i
\(765\) −9.14755 30.1107i −0.330730 1.08865i
\(766\) −27.1841 + 47.0842i −0.982200 + 1.70122i
\(767\) 1.89319 + 2.37399i 0.0683592 + 0.0857198i
\(768\) 78.5708 179.044i 2.83518 6.46070i
\(769\) 31.3763 21.3920i 1.13146 0.771416i 0.155170 0.987888i \(-0.450407\pi\)
0.976289 + 0.216472i \(0.0694551\pi\)
\(770\) 1.57999 + 17.4609i 0.0569389 + 0.629246i
\(771\) −19.7171 + 22.8132i −0.710095 + 0.821598i
\(772\) 119.331 17.9863i 4.29482 0.647340i
\(773\) −3.48768 +