Properties

Label 128.3.l.a.3.18
Level 128
Weight 3
Character 128.3
Analytic conductor 3.488
Analytic rank 0
Dimension 496
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 128 = 2^{7} \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 128.l (of order \(32\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.48774738381\)
Analytic rank: \(0\)
Dimension: \(496\)
Relative dimension: \(31\) over \(\Q(\zeta_{32})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{32}]$

Embedding invariants

Embedding label 3.18
Character \(\chi\) \(=\) 128.3
Dual form 128.3.l.a.43.18

$q$-expansion

\(f(q)\) \(=\) \(q+(0.286149 + 1.97942i) q^{2} +(0.798268 - 0.655122i) q^{3} +(-3.83624 + 1.13282i) q^{4} +(0.972729 + 0.295074i) q^{5} +(1.52519 + 1.39265i) q^{6} +(1.76467 + 8.87160i) q^{7} +(-3.34006 - 7.26939i) q^{8} +(-1.54777 + 7.78114i) q^{9} +O(q^{10})\) \(q+(0.286149 + 1.97942i) q^{2} +(0.798268 - 0.655122i) q^{3} +(-3.83624 + 1.13282i) q^{4} +(0.972729 + 0.295074i) q^{5} +(1.52519 + 1.39265i) q^{6} +(1.76467 + 8.87160i) q^{7} +(-3.34006 - 7.26939i) q^{8} +(-1.54777 + 7.78114i) q^{9} +(-0.305732 + 2.00988i) q^{10} +(0.852321 + 8.65376i) q^{11} +(-2.32021 + 3.41750i) q^{12} +(-0.633852 - 2.08953i) q^{13} +(-17.0557 + 6.03163i) q^{14} +(0.969808 - 0.401708i) q^{15} +(13.4334 - 8.69152i) q^{16} +(-4.15286 + 10.0259i) q^{17} +(-15.8451 - 0.837121i) q^{18} +(9.45597 - 17.6909i) q^{19} +(-4.06589 - 0.0300490i) q^{20} +(7.22066 + 5.92584i) q^{21} +(-16.8856 + 4.16336i) q^{22} +(21.8363 - 14.5905i) q^{23} +(-7.42860 - 3.61477i) q^{24} +(-19.9276 - 13.3152i) q^{25} +(3.95469 - 1.85258i) q^{26} +(8.24326 + 15.4220i) q^{27} +(-16.8196 - 32.0345i) q^{28} +(2.67563 - 27.1661i) q^{29} +(1.07266 + 1.80471i) q^{30} +(13.6182 + 13.6182i) q^{31} +(21.0482 + 24.1034i) q^{32} +(6.34964 + 6.34964i) q^{33} +(-21.0338 - 5.35137i) q^{34} +(-0.901234 + 9.15038i) q^{35} +(-2.87703 - 31.6037i) q^{36} +(7.77988 + 14.5551i) q^{37} +(37.7235 + 13.6552i) q^{38} +(-1.87488 - 1.25276i) q^{39} +(-1.10397 - 8.05671i) q^{40} +(-5.21815 + 3.48665i) q^{41} +(-9.66357 + 15.9884i) q^{42} +(45.8232 + 37.6061i) q^{43} +(-13.0728 - 32.2323i) q^{44} +(-3.80157 + 7.11224i) q^{45} +(35.1292 + 39.0481i) q^{46} +(27.3501 - 66.0289i) q^{47} +(5.02948 - 15.7387i) q^{48} +(-30.3212 + 12.5594i) q^{49} +(20.6542 - 43.2553i) q^{50} +(3.25308 + 10.7240i) q^{51} +(4.79867 + 7.29790i) q^{52} +(-9.06664 - 92.0552i) q^{53} +(-28.1680 + 20.7299i) q^{54} +(-1.72442 + 8.66926i) q^{55} +(58.5970 - 42.4598i) q^{56} +(-4.04128 - 20.3169i) q^{57} +(54.5388 - 2.47734i) q^{58} +(44.2188 + 13.4136i) q^{59} +(-3.26535 + 2.63966i) q^{60} +(-18.7924 + 15.4226i) q^{61} +(-23.0594 + 30.8530i) q^{62} -71.7625 q^{63} +(-41.6880 + 48.5604i) q^{64} -2.21958i q^{65} +(-10.7517 + 14.3856i) q^{66} +(52.3156 + 63.7468i) q^{67} +(4.57384 - 43.1661i) q^{68} +(7.87262 - 25.9525i) q^{69} +(-18.3704 + 0.834444i) q^{70} +(-31.4297 + 6.25176i) q^{71} +(61.7338 - 14.7382i) q^{72} +(-66.9199 - 13.3112i) q^{73} +(-26.5846 + 19.5646i) q^{74} +(-24.6306 + 2.42591i) q^{75} +(-16.2348 + 78.5783i) q^{76} +(-75.2686 + 22.8325i) q^{77} +(1.94324 - 4.06966i) q^{78} +(-19.2042 - 46.3630i) q^{79} +(15.6317 - 4.49064i) q^{80} +(-49.2834 - 20.4139i) q^{81} +(-8.39473 - 9.33122i) q^{82} +(-50.5365 - 27.0123i) q^{83} +(-34.4131 - 14.5532i) q^{84} +(-6.99799 + 8.52707i) q^{85} +(-61.3262 + 101.464i) q^{86} +(-15.6612 - 23.4387i) q^{87} +(60.0607 - 35.0999i) q^{88} +(-66.1765 + 99.0401i) q^{89} +(-15.1659 - 5.48976i) q^{90} +(17.4190 - 9.31063i) q^{91} +(-67.2407 + 80.7092i) q^{92} +(19.7925 + 1.94940i) q^{93} +(138.525 + 35.2433i) q^{94} +(14.4182 - 14.4182i) q^{95} +(32.5927 + 5.45187i) q^{96} +(-89.6071 + 89.6071i) q^{97} +(-33.5368 - 56.4246i) q^{98} +(-68.6553 - 6.76196i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 496q - 16q^{2} - 16q^{3} - 16q^{4} - 16q^{5} - 16q^{6} - 16q^{7} - 16q^{8} - 16q^{9} + O(q^{10}) \) \( 496q - 16q^{2} - 16q^{3} - 16q^{4} - 16q^{5} - 16q^{6} - 16q^{7} - 16q^{8} - 16q^{9} - 16q^{10} - 16q^{11} - 16q^{12} - 16q^{13} - 16q^{14} - 16q^{15} - 16q^{16} - 16q^{17} - 16q^{18} - 16q^{19} - 16q^{20} - 16q^{21} - 16q^{22} - 16q^{23} - 16q^{24} - 16q^{25} - 16q^{26} - 16q^{27} - 16q^{28} - 16q^{29} - 16q^{30} - 16q^{31} - 16q^{32} - 16q^{33} - 16q^{34} - 16q^{35} - 16q^{36} - 16q^{37} - 16q^{38} - 16q^{39} - 16q^{40} - 16q^{41} - 16q^{42} - 16q^{43} - 16q^{44} - 16q^{45} - 16q^{46} - 16q^{47} - 16q^{48} - 16q^{49} - 640q^{50} - 16q^{51} - 1072q^{52} - 16q^{53} - 1168q^{54} - 16q^{55} - 800q^{56} - 16q^{57} - 736q^{58} - 16q^{59} - 592q^{60} - 16q^{61} - 112q^{62} - 32q^{63} + 176q^{64} + 560q^{66} - 16q^{67} + 464q^{68} - 16q^{69} + 1328q^{70} - 16q^{71} + 1280q^{72} - 16q^{73} + 1216q^{74} - 16q^{75} + 1648q^{76} - 16q^{77} + 1424q^{78} - 16q^{79} + 800q^{80} - 16q^{81} - 16q^{82} - 16q^{83} - 16q^{84} - 16q^{85} - 16q^{86} - 16q^{87} - 16q^{88} - 16q^{89} - 16q^{90} - 16q^{91} - 16q^{92} - 16q^{93} - 16q^{94} - 16q^{95} - 16q^{96} - 16q^{97} - 16q^{98} - 16q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/128\mathbb{Z}\right)^\times\).

\(n\) \(5\) \(127\)
\(\chi(n)\) \(e\left(\frac{3}{32}\right)\) \(-1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.286149 + 1.97942i 0.143074 + 0.989712i
\(3\) 0.798268 0.655122i 0.266089 0.218374i −0.491882 0.870662i \(-0.663691\pi\)
0.757971 + 0.652288i \(0.226191\pi\)
\(4\) −3.83624 + 1.13282i −0.959059 + 0.283205i
\(5\) 0.972729 + 0.295074i 0.194546 + 0.0590148i 0.386054 0.922476i \(-0.373838\pi\)
−0.191508 + 0.981491i \(0.561338\pi\)
\(6\) 1.52519 + 1.39265i 0.254198 + 0.232108i
\(7\) 1.76467 + 8.87160i 0.252096 + 1.26737i 0.874635 + 0.484783i \(0.161101\pi\)
−0.622539 + 0.782589i \(0.713899\pi\)
\(8\) −3.34006 7.26939i −0.417508 0.908673i
\(9\) −1.54777 + 7.78114i −0.171974 + 0.864571i
\(10\) −0.305732 + 2.00988i −0.0305732 + 0.200988i
\(11\) 0.852321 + 8.65376i 0.0774837 + 0.786705i 0.952890 + 0.303317i \(0.0980941\pi\)
−0.875406 + 0.483388i \(0.839406\pi\)
\(12\) −2.32021 + 3.41750i −0.193351 + 0.284791i
\(13\) −0.633852 2.08953i −0.0487579 0.160733i 0.929181 0.369626i \(-0.120514\pi\)
−0.977939 + 0.208893i \(0.933014\pi\)
\(14\) −17.0557 + 6.03163i −1.21826 + 0.430831i
\(15\) 0.969808 0.401708i 0.0646539 0.0267805i
\(16\) 13.4334 8.69152i 0.839590 0.543220i
\(17\) −4.15286 + 10.0259i −0.244286 + 0.589758i −0.997700 0.0677885i \(-0.978406\pi\)
0.753414 + 0.657547i \(0.228406\pi\)
\(18\) −15.8451 0.837121i −0.880282 0.0465067i
\(19\) 9.45597 17.6909i 0.497683 0.931099i −0.500191 0.865915i \(-0.666737\pi\)
0.997873 0.0651833i \(-0.0207632\pi\)
\(20\) −4.06589 0.0300490i −0.203294 0.00150245i
\(21\) 7.22066 + 5.92584i 0.343841 + 0.282183i
\(22\) −16.8856 + 4.16336i −0.767526 + 0.189244i
\(23\) 21.8363 14.5905i 0.949402 0.634370i 0.0185741 0.999827i \(-0.494087\pi\)
0.930828 + 0.365457i \(0.119087\pi\)
\(24\) −7.42860 3.61477i −0.309525 0.150616i
\(25\) −19.9276 13.3152i −0.797104 0.532608i
\(26\) 3.95469 1.85258i 0.152104 0.0712530i
\(27\) 8.24326 + 15.4220i 0.305306 + 0.571187i
\(28\) −16.8196 32.0345i −0.600701 1.14409i
\(29\) 2.67563 27.1661i 0.0922630 0.936762i −0.831941 0.554863i \(-0.812770\pi\)
0.924204 0.381898i \(-0.124730\pi\)
\(30\) 1.07266 + 1.80471i 0.0357553 + 0.0601571i
\(31\) 13.6182 + 13.6182i 0.439297 + 0.439297i 0.891775 0.452479i \(-0.149460\pi\)
−0.452479 + 0.891775i \(0.649460\pi\)
\(32\) 21.0482 + 24.1034i 0.657755 + 0.753232i
\(33\) 6.34964 + 6.34964i 0.192413 + 0.192413i
\(34\) −21.0338 5.35137i −0.618642 0.157393i
\(35\) −0.901234 + 9.15038i −0.0257495 + 0.261439i
\(36\) −2.87703 31.6037i −0.0799174 0.877879i
\(37\) 7.77988 + 14.5551i 0.210267 + 0.393382i 0.964841 0.262833i \(-0.0846567\pi\)
−0.754574 + 0.656214i \(0.772157\pi\)
\(38\) 37.7235 + 13.6552i 0.992725 + 0.359346i
\(39\) −1.87488 1.25276i −0.0480739 0.0321219i
\(40\) −1.10397 8.05671i −0.0275992 0.201418i
\(41\) −5.21815 + 3.48665i −0.127272 + 0.0850404i −0.617577 0.786511i \(-0.711885\pi\)
0.490305 + 0.871551i \(0.336885\pi\)
\(42\) −9.66357 + 15.9884i −0.230085 + 0.380677i
\(43\) 45.8232 + 37.6061i 1.06565 + 0.874560i 0.992437 0.122756i \(-0.0391731\pi\)
0.0732179 + 0.997316i \(0.476673\pi\)
\(44\) −13.0728 32.2323i −0.297110 0.732553i
\(45\) −3.80157 + 7.11224i −0.0844794 + 0.158050i
\(46\) 35.1292 + 39.0481i 0.763679 + 0.848873i
\(47\) 27.3501 66.0289i 0.581917 1.40487i −0.309156 0.951011i \(-0.600047\pi\)
0.891073 0.453860i \(-0.149953\pi\)
\(48\) 5.02948 15.7387i 0.104781 0.327890i
\(49\) −30.3212 + 12.5594i −0.618800 + 0.256315i
\(50\) 20.6542 43.2553i 0.413083 0.865106i
\(51\) 3.25308 + 10.7240i 0.0637859 + 0.210274i
\(52\) 4.79867 + 7.29790i 0.0922821 + 0.140344i
\(53\) −9.06664 92.0552i −0.171069 1.73689i −0.571534 0.820578i \(-0.693652\pi\)
0.400465 0.916312i \(-0.368848\pi\)
\(54\) −28.1680 + 20.7299i −0.521629 + 0.383887i
\(55\) −1.72442 + 8.66926i −0.0313531 + 0.157623i
\(56\) 58.5970 42.4598i 1.04638 0.758211i
\(57\) −4.04128 20.3169i −0.0708996 0.356436i
\(58\) 54.5388 2.47734i 0.940325 0.0427127i
\(59\) 44.2188 + 13.4136i 0.749471 + 0.227350i 0.641837 0.766841i \(-0.278172\pi\)
0.107634 + 0.994191i \(0.465672\pi\)
\(60\) −3.26535 + 2.63966i −0.0544225 + 0.0439944i
\(61\) −18.7924 + 15.4226i −0.308073 + 0.252829i −0.775707 0.631093i \(-0.782607\pi\)
0.467634 + 0.883922i \(0.345107\pi\)
\(62\) −23.0594 + 30.8530i −0.371925 + 0.497629i
\(63\) −71.7625 −1.13909
\(64\) −41.6880 + 48.5604i −0.651375 + 0.758756i
\(65\) 2.21958i 0.0341474i
\(66\) −10.7517 + 14.3856i −0.162904 + 0.217963i
\(67\) 52.3156 + 63.7468i 0.780830 + 0.951444i 0.999704 0.0243090i \(-0.00773855\pi\)
−0.218875 + 0.975753i \(0.570239\pi\)
\(68\) 4.57384 43.1661i 0.0672624 0.634796i
\(69\) 7.87262 25.9525i 0.114096 0.376124i
\(70\) −18.3704 + 0.834444i −0.262434 + 0.0119206i
\(71\) −31.4297 + 6.25176i −0.442672 + 0.0880530i −0.411394 0.911458i \(-0.634958\pi\)
−0.0312784 + 0.999511i \(0.509958\pi\)
\(72\) 61.7338 14.7382i 0.857413 0.204697i
\(73\) −66.9199 13.3112i −0.916711 0.182345i −0.285880 0.958265i \(-0.592286\pi\)
−0.630831 + 0.775920i \(0.717286\pi\)
\(74\) −26.5846 + 19.5646i −0.359251 + 0.264387i
\(75\) −24.6306 + 2.42591i −0.328409 + 0.0323454i
\(76\) −16.2348 + 78.5783i −0.213616 + 1.03392i
\(77\) −75.2686 + 22.8325i −0.977515 + 0.296526i
\(78\) 1.94324 4.06966i 0.0249133 0.0521751i
\(79\) −19.2042 46.3630i −0.243091 0.586874i 0.754496 0.656305i \(-0.227882\pi\)
−0.997587 + 0.0694311i \(0.977882\pi\)
\(80\) 15.6317 4.49064i 0.195397 0.0561330i
\(81\) −49.2834 20.4139i −0.608437 0.252023i
\(82\) −8.39473 9.33122i −0.102375 0.113795i
\(83\) −50.5365 27.0123i −0.608874 0.325450i 0.137983 0.990435i \(-0.455938\pi\)
−0.746857 + 0.664985i \(0.768438\pi\)
\(84\) −34.4131 14.5532i −0.409680 0.173253i
\(85\) −6.99799 + 8.52707i −0.0823293 + 0.100318i
\(86\) −61.3262 + 101.464i −0.713095 + 1.17982i
\(87\) −15.6612 23.4387i −0.180014 0.269410i
\(88\) 60.0607 35.0999i 0.682508 0.398863i
\(89\) −66.1765 + 99.0401i −0.743556 + 1.11281i 0.246086 + 0.969248i \(0.420856\pi\)
−0.989641 + 0.143562i \(0.954144\pi\)
\(90\) −15.1659 5.48976i −0.168511 0.0609974i
\(91\) 17.4190 9.31063i 0.191417 0.102315i
\(92\) −67.2407 + 80.7092i −0.730877 + 0.877274i
\(93\) 19.7925 + 1.94940i 0.212823 + 0.0209612i
\(94\) 138.525 + 35.2433i 1.47368 + 0.374929i
\(95\) 14.4182 14.4182i 0.151771 0.151771i
\(96\) 32.5927 + 5.45187i 0.339508 + 0.0567903i
\(97\) −89.6071 + 89.6071i −0.923785 + 0.923785i −0.997295 0.0735096i \(-0.976580\pi\)
0.0735096 + 0.997295i \(0.476580\pi\)
\(98\) −33.5368 56.4246i −0.342213 0.575762i
\(99\) −68.6553 6.76196i −0.693488 0.0683026i
\(100\) 91.5308 + 28.5059i 0.915308 + 0.285059i
\(101\) 167.283 89.4146i 1.65627 0.885293i 0.666025 0.745929i \(-0.267994\pi\)
0.990241 0.139364i \(-0.0445058\pi\)
\(102\) −20.2964 + 9.50788i −0.198985 + 0.0932145i
\(103\) −54.1596 + 81.0555i −0.525821 + 0.786947i −0.995386 0.0959513i \(-0.969411\pi\)
0.469565 + 0.882898i \(0.344411\pi\)
\(104\) −13.0725 + 11.5869i −0.125697 + 0.111412i
\(105\) 5.27518 + 7.89487i 0.0502399 + 0.0751893i
\(106\) 179.622 44.2882i 1.69455 0.417813i
\(107\) 62.7237 76.4291i 0.586203 0.714291i −0.392458 0.919770i \(-0.628375\pi\)
0.978661 + 0.205479i \(0.0658753\pi\)
\(108\) −49.0935 49.8245i −0.454569 0.461338i
\(109\) 44.6376 + 23.8593i 0.409519 + 0.218893i 0.663275 0.748376i \(-0.269166\pi\)
−0.253756 + 0.967268i \(0.581666\pi\)
\(110\) −17.6536 0.932668i −0.160487 0.00847880i
\(111\) 15.7458 + 6.52213i 0.141854 + 0.0587579i
\(112\) 100.813 + 103.839i 0.900119 + 0.927130i
\(113\) 18.4013 + 44.4246i 0.162843 + 0.393138i 0.984147 0.177352i \(-0.0567533\pi\)
−0.821304 + 0.570490i \(0.806753\pi\)
\(114\) 39.0593 13.8130i 0.342625 0.121167i
\(115\) 25.5460 7.74931i 0.222140 0.0673853i
\(116\) 20.5099 + 107.247i 0.176810 + 0.924540i
\(117\) 17.2400 1.69799i 0.147350 0.0145127i
\(118\) −13.8981 + 91.3661i −0.117781 + 0.774289i
\(119\) −96.2741 19.1501i −0.809026 0.160925i
\(120\) −6.15939 5.70818i −0.0513282 0.0475682i
\(121\) 44.5140 8.85438i 0.367884 0.0731767i
\(122\) −35.9052 32.7851i −0.294305 0.268730i
\(123\) −1.88130 + 6.20181i −0.0152951 + 0.0504212i
\(124\) −67.6696 36.8157i −0.545722 0.296901i
\(125\) −31.5767 38.4763i −0.252614 0.307811i
\(126\) −20.5347 142.048i −0.162974 1.12737i
\(127\) 169.623i 1.33561i −0.744336 0.667806i \(-0.767234\pi\)
0.744336 0.667806i \(-0.232766\pi\)
\(128\) −108.051 68.6227i −0.844145 0.536115i
\(129\) 61.2157 0.474541
\(130\) 4.39349 0.635130i 0.0337961 0.00488562i
\(131\) −76.5787 + 62.8465i −0.584570 + 0.479744i −0.879581 0.475750i \(-0.842177\pi\)
0.295011 + 0.955494i \(0.404677\pi\)
\(132\) −31.5517 17.1658i −0.239028 0.130044i
\(133\) 173.633 + 52.6710i 1.30551 + 0.396023i
\(134\) −111.212 + 121.796i −0.829939 + 0.908924i
\(135\) 3.46781 + 17.4338i 0.0256875 + 0.129140i
\(136\) 86.7529 3.29835i 0.637889 0.0242526i
\(137\) 38.1689 191.888i 0.278605 1.40064i −0.547349 0.836905i \(-0.684363\pi\)
0.825954 0.563738i \(-0.190637\pi\)
\(138\) 53.6238 + 8.15697i 0.388578 + 0.0591084i
\(139\) 18.1060 + 183.833i 0.130259 + 1.32254i 0.808846 + 0.588021i \(0.200093\pi\)
−0.678587 + 0.734520i \(0.737407\pi\)
\(140\) −6.90837 36.1240i −0.0493455 0.258028i
\(141\) −21.4243 70.6264i −0.151945 0.500897i
\(142\) −21.3685 60.4238i −0.150482 0.425520i
\(143\) 17.5421 7.26616i 0.122672 0.0508123i
\(144\) 46.8382 + 117.980i 0.325265 + 0.819305i
\(145\) 10.6187 25.6357i 0.0732322 0.176798i
\(146\) 7.19947 136.272i 0.0493114 0.933369i
\(147\) −15.9765 + 29.8899i −0.108683 + 0.203333i
\(148\) −46.3338 47.0237i −0.313066 0.317728i
\(149\) 73.1678 + 60.0473i 0.491059 + 0.403002i 0.847071 0.531479i \(-0.178364\pi\)
−0.356012 + 0.934481i \(0.615864\pi\)
\(150\) −11.8499 48.0603i −0.0789995 0.320402i
\(151\) −74.1341 + 49.5348i −0.490954 + 0.328045i −0.776283 0.630385i \(-0.782897\pi\)
0.285329 + 0.958430i \(0.407897\pi\)
\(152\) −160.185 9.65048i −1.05385 0.0634900i
\(153\) −71.5852 47.8317i −0.467877 0.312625i
\(154\) −66.7332 142.455i −0.433332 0.925033i
\(155\) 9.22844 + 17.2652i 0.0595383 + 0.111388i
\(156\) 8.61164 + 2.68197i 0.0552028 + 0.0171921i
\(157\) −20.4056 + 207.181i −0.129972 + 1.31963i 0.680023 + 0.733190i \(0.261970\pi\)
−0.809995 + 0.586436i \(0.800530\pi\)
\(158\) 86.2769 51.2800i 0.546056 0.324557i
\(159\) −67.5450 67.5450i −0.424811 0.424811i
\(160\) 13.3619 + 29.6569i 0.0835117 + 0.185355i
\(161\) 167.975 + 167.975i 1.04332 + 1.04332i
\(162\) 26.3053 103.394i 0.162378 0.638236i
\(163\) 14.3046 145.237i 0.0877583 0.891025i −0.846015 0.533159i \(-0.821005\pi\)
0.933773 0.357865i \(-0.116495\pi\)
\(164\) 16.0683 19.2869i 0.0979775 0.117603i
\(165\) 4.30287 + 8.05010i 0.0260780 + 0.0487885i
\(166\) 39.0079 107.763i 0.234987 0.649173i
\(167\) −30.2446 20.2088i −0.181106 0.121011i 0.461713 0.887029i \(-0.347235\pi\)
−0.642818 + 0.766019i \(0.722235\pi\)
\(168\) 18.9598 72.2825i 0.112856 0.430253i
\(169\) 136.554 91.2425i 0.808012 0.539896i
\(170\) −18.8812 11.4120i −0.111066 0.0671293i
\(171\) 123.020 + 100.960i 0.719413 + 0.590407i
\(172\) −218.389 92.3566i −1.26971 0.536957i
\(173\) 99.4891 186.131i 0.575081 1.07590i −0.411311 0.911495i \(-0.634929\pi\)
0.986393 0.164407i \(-0.0525710\pi\)
\(174\) 41.9137 37.7072i 0.240883 0.216708i
\(175\) 82.9615 200.287i 0.474066 1.14450i
\(176\) 86.6639 + 108.842i 0.492409 + 0.618419i
\(177\) 44.0860 18.2610i 0.249074 0.103170i
\(178\) −214.979 102.651i −1.20774 0.576692i
\(179\) −19.4549 64.1344i −0.108687 0.358293i 0.885679 0.464299i \(-0.153694\pi\)
−0.994365 + 0.106006i \(0.966194\pi\)
\(180\) 6.52685 31.5907i 0.0362603 0.175504i
\(181\) −2.03909 20.7033i −0.0112657 0.114383i 0.987907 0.155046i \(-0.0495527\pi\)
−0.999173 + 0.0406638i \(0.987053\pi\)
\(182\) 23.4141 + 31.8153i 0.128649 + 0.174809i
\(183\) −4.89775 + 24.6227i −0.0267637 + 0.134550i
\(184\) −178.999 110.003i −0.972818 0.597842i
\(185\) 3.27287 + 16.4538i 0.0176912 + 0.0889397i
\(186\) 1.80493 + 39.7357i 0.00970392 + 0.213633i
\(187\) −90.3012 27.3926i −0.482894 0.146484i
\(188\) −30.1226 + 284.285i −0.160227 + 1.51216i
\(189\) −122.272 + 100.346i −0.646940 + 0.530930i
\(190\) 32.6655 + 24.4140i 0.171924 + 0.128495i
\(191\) −4.46091 −0.0233555 −0.0116778 0.999932i \(-0.503717\pi\)
−0.0116778 + 0.999932i \(0.503717\pi\)
\(192\) −1.46520 + 66.0749i −0.00763124 + 0.344140i
\(193\) 326.693i 1.69271i 0.532619 + 0.846355i \(0.321208\pi\)
−0.532619 + 0.846355i \(0.678792\pi\)
\(194\) −203.011 151.730i −1.04645 0.782111i
\(195\) −1.45410 1.77182i −0.00745690 0.00908626i
\(196\) 102.092 82.5295i 0.520876 0.421069i
\(197\) 3.79555 12.5123i 0.0192668 0.0635140i −0.946780 0.321882i \(-0.895685\pi\)
0.966047 + 0.258368i \(0.0831846\pi\)
\(198\) −6.26084 137.833i −0.0316204 0.696126i
\(199\) 127.721 25.4054i 0.641816 0.127665i 0.136556 0.990632i \(-0.456397\pi\)
0.505260 + 0.862967i \(0.331397\pi\)
\(200\) −30.2339 + 189.335i −0.151170 + 0.946675i
\(201\) 83.5238 + 16.6139i 0.415541 + 0.0826563i
\(202\) 224.857 + 305.538i 1.11315 + 1.51256i
\(203\) 245.728 24.2021i 1.21048 0.119222i
\(204\) −24.6279 37.4546i −0.120725 0.183601i
\(205\) −6.10467 + 1.85183i −0.0297789 + 0.00903332i
\(206\) −175.941 84.0108i −0.854082 0.407819i
\(207\) 79.7335 + 192.494i 0.385186 + 0.929921i
\(208\) −26.6760 22.5605i −0.128250 0.108464i
\(209\) 161.152 + 66.7514i 0.771062 + 0.319384i
\(210\) −14.1178 + 12.7009i −0.0672277 + 0.0604806i
\(211\) −98.3358 52.5616i −0.466047 0.249107i 0.221621 0.975133i \(-0.428865\pi\)
−0.687667 + 0.726026i \(0.741365\pi\)
\(212\) 139.064 + 342.875i 0.655961 + 1.61733i
\(213\) −20.9937 + 25.5809i −0.0985619 + 0.120098i
\(214\) 169.234 + 102.287i 0.790812 + 0.477976i
\(215\) 33.4769 + 50.1018i 0.155707 + 0.233032i
\(216\) 84.5758 111.434i 0.391555 0.515898i
\(217\) −96.7836 + 144.847i −0.446007 + 0.667497i
\(218\) −34.4547 + 95.1841i −0.158049 + 0.436624i
\(219\) −62.1405 + 33.2148i −0.283747 + 0.151666i
\(220\) −3.20540 35.2108i −0.0145700 0.160049i
\(221\) 23.5817 + 2.32260i 0.106705 + 0.0105095i
\(222\) −8.40441 + 33.0339i −0.0378577 + 0.148801i
\(223\) −206.954 + 206.954i −0.928046 + 0.928046i −0.997580 0.0695336i \(-0.977849\pi\)
0.0695336 + 0.997580i \(0.477849\pi\)
\(224\) −176.693 + 229.266i −0.788807 + 1.02351i
\(225\) 134.451 134.451i 0.597559 0.597559i
\(226\) −82.6695 + 49.1359i −0.365794 + 0.217416i
\(227\) −249.581 24.5816i −1.09948 0.108289i −0.468033 0.883711i \(-0.655037\pi\)
−0.631444 + 0.775422i \(0.717537\pi\)
\(228\) 38.5186 + 73.3623i 0.168941 + 0.321764i
\(229\) −29.8869 + 15.9749i −0.130511 + 0.0697594i −0.535360 0.844624i \(-0.679824\pi\)
0.404849 + 0.914383i \(0.367324\pi\)
\(230\) 22.6491 + 48.3490i 0.0984745 + 0.210213i
\(231\) −45.1265 + 67.5366i −0.195353 + 0.292366i
\(232\) −206.418 + 71.2863i −0.889731 + 0.307268i
\(233\) −214.599 321.170i −0.921025 1.37841i −0.925633 0.378421i \(-0.876467\pi\)
0.00460885 0.999989i \(-0.498533\pi\)
\(234\) 8.29425 + 33.6394i 0.0354455 + 0.143758i
\(235\) 46.0877 56.1580i 0.196118 0.238970i
\(236\) −184.829 1.36598i −0.783174 0.00578807i
\(237\) −45.7035 24.4291i −0.192842 0.103076i
\(238\) 10.3575 196.047i 0.0435189 0.823727i
\(239\) −17.9311 7.42729i −0.0750254 0.0310765i 0.344855 0.938656i \(-0.387928\pi\)
−0.419881 + 0.907579i \(0.637928\pi\)
\(240\) 9.53641 13.8254i 0.0397350 0.0576060i
\(241\) 5.35530 + 12.9288i 0.0222212 + 0.0536467i 0.934601 0.355699i \(-0.115757\pi\)
−0.912379 + 0.409345i \(0.865757\pi\)
\(242\) 30.2642 + 85.5783i 0.125059 + 0.353629i
\(243\) −203.320 + 61.6765i −0.836708 + 0.253813i
\(244\) 54.6213 80.4530i 0.223858 0.329726i
\(245\) −33.2003 + 3.26994i −0.135511 + 0.0133467i
\(246\) −12.8143 1.94925i −0.0520908 0.00792377i
\(247\) −42.9593 8.54514i −0.173924 0.0345957i
\(248\) 53.5103 144.482i 0.215767 0.582587i
\(249\) −58.0381 + 11.5445i −0.233085 + 0.0463634i
\(250\) 67.1253 73.5136i 0.268501 0.294055i
\(251\) 11.6832 38.5144i 0.0465467 0.153444i −0.930586 0.366072i \(-0.880702\pi\)
0.977133 + 0.212628i \(0.0682023\pi\)
\(252\) 275.298 81.2939i 1.09245 0.322595i
\(253\) 144.874 + 176.530i 0.572626 + 0.697746i
\(254\) 335.755 48.5373i 1.32187 0.191092i
\(255\) 11.3914i 0.0446722i
\(256\) 104.915 233.514i 0.409824 0.912165i
\(257\) −167.213 −0.650636 −0.325318 0.945605i \(-0.605471\pi\)
−0.325318 + 0.945605i \(0.605471\pi\)
\(258\) 17.5168 + 121.172i 0.0678945 + 0.469658i
\(259\) −115.398 + 94.7050i −0.445554 + 0.365656i
\(260\) 2.51438 + 8.51484i 0.00967071 + 0.0327494i
\(261\) 207.242 + 62.8662i 0.794031 + 0.240867i
\(262\) −146.313 133.598i −0.558446 0.509917i
\(263\) 93.2132 + 468.615i 0.354423 + 1.78180i 0.587374 + 0.809316i \(0.300162\pi\)
−0.232951 + 0.972489i \(0.574838\pi\)
\(264\) 24.9498 67.3662i 0.0945069 0.255175i
\(265\) 18.3437 92.2201i 0.0692216 0.348000i
\(266\) −54.5734 + 358.765i −0.205163 + 1.34874i
\(267\) 12.0567 + 122.414i 0.0451563 + 0.458480i
\(268\) −272.909 185.284i −1.01832 0.691357i
\(269\) −100.150 330.150i −0.372304 1.22732i −0.920424 0.390922i \(-0.872156\pi\)
0.548120 0.836400i \(-0.315344\pi\)
\(270\) −33.5167 + 11.8529i −0.124136 + 0.0438998i
\(271\) 433.550 179.582i 1.59982 0.662665i 0.608426 0.793611i \(-0.291801\pi\)
0.991390 + 0.130945i \(0.0418012\pi\)
\(272\) 31.3530 + 170.777i 0.115269 + 0.627856i
\(273\) 7.80540 18.8439i 0.0285912 0.0690253i
\(274\) 390.750 + 20.6440i 1.42609 + 0.0753429i
\(275\) 98.2418 183.797i 0.357243 0.668355i
\(276\) −0.801712 + 108.478i −0.00290475 + 0.393038i
\(277\) −224.713 184.417i −0.811238 0.665766i 0.134421 0.990924i \(-0.457082\pi\)
−0.945660 + 0.325158i \(0.894582\pi\)
\(278\) −358.703 + 88.4430i −1.29030 + 0.318140i
\(279\) −127.043 + 84.8873i −0.455351 + 0.304256i
\(280\) 69.5278 24.0114i 0.248314 0.0857551i
\(281\) −124.787 83.3800i −0.444082 0.296726i 0.313353 0.949637i \(-0.398548\pi\)
−0.757435 + 0.652911i \(0.773548\pi\)
\(282\) 133.669 62.6174i 0.474004 0.222048i
\(283\) −246.252 460.705i −0.870148 1.62793i −0.774551 0.632512i \(-0.782024\pi\)
−0.0955969 0.995420i \(-0.530476\pi\)
\(284\) 113.490 59.5874i 0.399612 0.209815i
\(285\) 2.06392 20.9553i 0.00724181 0.0735273i
\(286\) 19.4024 + 32.6440i 0.0678407 + 0.114140i
\(287\) −40.1405 40.1405i −0.139862 0.139862i
\(288\) −220.130 + 126.472i −0.764339 + 0.439140i
\(289\) 121.082 + 121.082i 0.418968 + 0.418968i
\(290\) 53.7825 + 13.6832i 0.185457 + 0.0471835i
\(291\) −12.8269 + 130.234i −0.0440788 + 0.447540i
\(292\) 271.800 24.7432i 0.930822 0.0847370i
\(293\) −149.765 280.190i −0.511143 0.956280i −0.996629 0.0820364i \(-0.973858\pi\)
0.485487 0.874244i \(-0.338642\pi\)
\(294\) −63.7364 23.0713i −0.216790 0.0784737i
\(295\) 39.0549 + 26.0957i 0.132390 + 0.0884599i
\(296\) 79.8216 105.170i 0.269668 0.355304i
\(297\) −126.433 + 84.4797i −0.425700 + 0.284443i
\(298\) −97.9222 + 162.013i −0.328598 + 0.543667i
\(299\) −44.3283 36.3793i −0.148255 0.121670i
\(300\) 91.7409 37.2084i 0.305803 0.124028i
\(301\) −252.764 + 472.887i −0.839746 + 1.57105i
\(302\) −119.264 132.568i −0.394913 0.438969i
\(303\) 74.9592 180.967i 0.247390 0.597252i
\(304\) −26.7344 319.836i −0.0879422 1.05209i
\(305\) −22.8308 + 9.45681i −0.0748549 + 0.0310059i
\(306\) 74.1952 155.384i 0.242468 0.507792i
\(307\) −137.530 453.375i −0.447980 1.47679i −0.832682 0.553751i \(-0.813196\pi\)
0.384703 0.923041i \(-0.374304\pi\)
\(308\) 262.883 172.857i 0.853517 0.561223i
\(309\) 9.86737 + 100.185i 0.0319332 + 0.324224i
\(310\) −31.5344 + 23.2074i −0.101724 + 0.0748626i
\(311\) 82.4616 414.562i 0.265150 1.33300i −0.586952 0.809622i \(-0.699672\pi\)
0.852102 0.523376i \(-0.175328\pi\)
\(312\) −2.84455 + 17.8135i −0.00911713 + 0.0570946i
\(313\) −53.0942 266.922i −0.169630 0.852787i −0.968064 0.250705i \(-0.919338\pi\)
0.798434 0.602083i \(-0.205662\pi\)
\(314\) −415.939 + 18.8934i −1.32465 + 0.0601699i
\(315\) −69.8055 21.1753i −0.221605 0.0672231i
\(316\) 126.193 + 156.105i 0.399344 + 0.494003i
\(317\) −302.607 + 248.343i −0.954597 + 0.783418i −0.976317 0.216346i \(-0.930586\pi\)
0.0217194 + 0.999764i \(0.493086\pi\)
\(318\) 114.372 153.028i 0.359661 0.481220i
\(319\) 237.369 0.744104
\(320\) −54.8800 + 34.9351i −0.171500 + 0.109172i
\(321\) 102.103i 0.318077i
\(322\) −284.428 + 380.560i −0.883317 + 1.18186i
\(323\) 138.097 + 168.272i 0.427546 + 0.520966i
\(324\) 212.188 + 22.4833i 0.654902 + 0.0693928i
\(325\) −15.1914 + 50.0792i −0.0467427 + 0.154090i
\(326\) 291.579 13.2445i 0.894414 0.0406273i
\(327\) 51.2635 10.1969i 0.156769 0.0311833i
\(328\) 42.7748 + 26.2871i 0.130411 + 0.0801436i
\(329\) 634.047 + 126.120i 1.92719 + 0.383343i
\(330\) −14.7033 + 10.8207i −0.0445555 + 0.0327901i
\(331\) 296.010 29.1545i 0.894291 0.0880800i 0.359580 0.933114i \(-0.382920\pi\)
0.534712 + 0.845034i \(0.320420\pi\)
\(332\) 224.470 + 46.3771i 0.676115 + 0.139690i
\(333\) −125.297 + 38.0084i −0.376267 + 0.114139i
\(334\) 31.3474 65.6497i 0.0938544 0.196556i
\(335\) 32.0789 + 77.4453i 0.0957579 + 0.231180i
\(336\) 148.503 + 16.8459i 0.441973 + 0.0501367i
\(337\) −524.494 217.252i −1.55636 0.644666i −0.571909 0.820317i \(-0.693797\pi\)
−0.984452 + 0.175651i \(0.943797\pi\)
\(338\) 219.682 + 244.189i 0.649947 + 0.722454i
\(339\) 43.7926 + 23.4076i 0.129182 + 0.0690491i
\(340\) 17.1863 40.6393i 0.0505480 0.119527i
\(341\) −106.241 + 129.456i −0.311559 + 0.379635i
\(342\) −164.640 + 272.397i −0.481403 + 0.796483i
\(343\) 81.3132 + 121.694i 0.237065 + 0.354793i
\(344\) 120.321 458.713i 0.349770 1.33347i
\(345\) 15.3159 22.9218i 0.0443938 0.0664400i
\(346\) 396.901 + 143.670i 1.14711 + 0.415231i
\(347\) 3.36879 1.80065i 0.00970832 0.00518920i −0.466535 0.884503i \(-0.654498\pi\)
0.476244 + 0.879313i \(0.341998\pi\)
\(348\) 86.6320 + 72.1750i 0.248942 + 0.207400i
\(349\) −291.094 28.6703i −0.834081 0.0821498i −0.328045 0.944662i \(-0.606390\pi\)
−0.506036 + 0.862512i \(0.668890\pi\)
\(350\) 420.192 + 106.904i 1.20055 + 0.305441i
\(351\) 26.9998 26.9998i 0.0769226 0.0769226i
\(352\) −190.645 + 202.690i −0.541606 + 0.575823i
\(353\) 426.808 426.808i 1.20909 1.20909i 0.237765 0.971323i \(-0.423585\pi\)
0.971323 0.237765i \(-0.0764148\pi\)
\(354\) 48.7615 + 82.0396i 0.137744 + 0.231750i
\(355\) −32.4173 3.19283i −0.0913165 0.00899389i
\(356\) 141.674 454.907i 0.397961 1.27783i
\(357\) −89.3982 + 47.7843i −0.250415 + 0.133850i
\(358\) 121.382 56.8615i 0.339056 0.158831i
\(359\) −169.276 + 253.340i −0.471522 + 0.705683i −0.988652 0.150224i \(-0.952000\pi\)
0.517130 + 0.855907i \(0.327000\pi\)
\(360\) 64.3991 + 3.87977i 0.178886 + 0.0107771i
\(361\) −22.9908 34.4081i −0.0636863 0.0953133i
\(362\) 40.3971 9.96044i 0.111594 0.0275150i
\(363\) 29.7334 36.2302i 0.0819101 0.0998078i
\(364\) −56.2760 + 55.4503i −0.154604 + 0.152336i
\(365\) −61.1672 32.6945i −0.167581 0.0895741i
\(366\) −50.1402 2.64899i −0.136995 0.00723768i
\(367\) −20.4985 8.49076i −0.0558543 0.0231356i 0.354581 0.935025i \(-0.384623\pi\)
−0.410436 + 0.911890i \(0.634623\pi\)
\(368\) 166.522 385.791i 0.452506 1.04835i
\(369\) −19.0537 45.9997i −0.0516360 0.124660i
\(370\) −31.6326 + 11.1866i −0.0854935 + 0.0302342i
\(371\) 800.677 242.883i 2.15816 0.654671i
\(372\) −78.1372 + 14.9430i −0.210046 + 0.0401694i
\(373\) −335.558 + 33.0495i −0.899618 + 0.0886047i −0.537243 0.843428i \(-0.680534\pi\)
−0.362375 + 0.932032i \(0.618034\pi\)
\(374\) 28.3819 186.583i 0.0758875 0.498884i
\(375\) −50.4133 10.0278i −0.134436 0.0267409i
\(376\) −571.341 + 21.7224i −1.51952 + 0.0577725i
\(377\) −58.4604 + 11.6285i −0.155067 + 0.0308448i
\(378\) −233.615 213.314i −0.618028 0.564322i
\(379\) −104.987 + 346.094i −0.277009 + 0.913177i 0.702484 + 0.711700i \(0.252074\pi\)
−0.979493 + 0.201478i \(0.935426\pi\)
\(380\) −38.9785 + 71.6449i −0.102575 + 0.188539i
\(381\) −111.123 135.404i −0.291663 0.355392i
\(382\) −1.27648 8.83003i −0.00334158 0.0231153i
\(383\) 479.324i 1.25150i 0.780025 + 0.625749i \(0.215206\pi\)
−0.780025 + 0.625749i \(0.784794\pi\)
\(384\) −131.210 + 16.0070i −0.341691 + 0.0416849i
\(385\) −79.9533 −0.207671
\(386\) −646.664 + 93.4827i −1.67530 + 0.242183i
\(387\) −363.542 + 298.351i −0.939385 + 0.770933i
\(388\) 242.246 445.263i 0.624344 1.14758i
\(389\) 372.155 + 112.892i 0.956696 + 0.290211i 0.729763 0.683700i \(-0.239630\pi\)
0.226933 + 0.973910i \(0.427130\pi\)
\(390\) 3.09110 3.38528i 0.00792589 0.00868020i
\(391\) 55.6000 + 279.520i 0.142200 + 0.714885i
\(392\) 192.574 + 178.467i 0.491261 + 0.455273i
\(393\) −19.9582 + 100.337i −0.0507843 + 0.255310i
\(394\) 25.8532 + 3.93264i 0.0656171 + 0.00998132i
\(395\) −4.99995 50.7654i −0.0126581 0.128520i
\(396\) 271.038 51.8335i 0.684440 0.130893i
\(397\) −127.254 419.499i −0.320538 1.05667i −0.958138 0.286306i \(-0.907573\pi\)
0.637600 0.770368i \(-0.279927\pi\)
\(398\) 86.8353 + 245.545i 0.218179 + 0.616948i
\(399\) 173.112 71.7052i 0.433864 0.179712i
\(400\) −383.426 5.66774i −0.958564 0.0141694i
\(401\) 256.886 620.177i 0.640612 1.54658i −0.185243 0.982693i \(-0.559307\pi\)
0.825855 0.563882i \(-0.190693\pi\)
\(402\) −8.98576 + 170.083i −0.0223526 + 0.423092i
\(403\) 19.8237 37.0876i 0.0491904 0.0920287i
\(404\) −540.447 + 532.517i −1.33774 + 1.31811i
\(405\) −41.9158 34.3994i −0.103496 0.0849369i
\(406\) 118.221 + 479.475i 0.291185 + 1.18097i
\(407\) −119.326 + 79.7308i −0.293183 + 0.195899i
\(408\) 67.0912 59.4666i 0.164439 0.145752i
\(409\) 174.157 + 116.368i 0.425811 + 0.284518i 0.749954 0.661490i \(-0.230076\pi\)
−0.324142 + 0.946008i \(0.605076\pi\)
\(410\) −5.41240 11.5538i −0.0132010 0.0281801i
\(411\) −95.2410 178.183i −0.231730 0.433536i
\(412\) 115.948 372.301i 0.281427 0.903644i
\(413\) −40.9687 + 415.962i −0.0991979 + 1.00717i
\(414\) −358.211 + 212.908i −0.865244 + 0.514271i
\(415\) −41.1877 41.1877i −0.0992475 0.0992475i
\(416\) 37.0234 59.2588i 0.0889986 0.142449i
\(417\) 134.887 + 134.887i 0.323469 + 0.323469i
\(418\) −86.0158 + 338.089i −0.205779 + 0.808825i
\(419\) −13.9703 + 141.843i −0.0333420 + 0.338527i 0.964014 + 0.265853i \(0.0856535\pi\)
−0.997356 + 0.0726746i \(0.976847\pi\)
\(420\) −29.1803 24.3108i −0.0694770 0.0578828i
\(421\) 134.638 + 251.889i 0.319804 + 0.598312i 0.989535 0.144292i \(-0.0460905\pi\)
−0.669731 + 0.742604i \(0.733591\pi\)
\(422\) 75.9030 209.689i 0.179865 0.496893i
\(423\) 471.449 + 315.012i 1.11454 + 0.744710i
\(424\) −638.902 + 373.379i −1.50684 + 0.880611i
\(425\) 216.253 144.496i 0.508831 0.339990i
\(426\) −56.6427 34.2355i −0.132964 0.0803649i
\(427\) −169.985 139.503i −0.398092 0.326706i
\(428\) −154.043 + 364.255i −0.359913 + 0.851063i
\(429\) 9.24304 17.2925i 0.0215456 0.0403089i
\(430\) −89.5933 + 80.6016i −0.208356 + 0.187446i
\(431\) −61.8590 + 149.341i −0.143524 + 0.346498i −0.979252 0.202645i \(-0.935046\pi\)
0.835728 + 0.549144i \(0.185046\pi\)
\(432\) 244.776 + 135.525i 0.566612 + 0.313715i
\(433\) −592.772 + 245.534i −1.36899 + 0.567054i −0.941514 0.336974i \(-0.890597\pi\)
−0.427475 + 0.904027i \(0.640597\pi\)
\(434\) −314.408 150.128i −0.724442 0.345917i
\(435\) −8.31798 27.4207i −0.0191218 0.0630361i
\(436\) −198.269 40.9636i −0.454745 0.0939533i
\(437\) −51.6361 524.270i −0.118160 1.19970i
\(438\) −83.5276 113.498i −0.190702 0.259128i
\(439\) 164.869 828.851i 0.375555 1.88804i −0.0782337 0.996935i \(-0.524928\pi\)
0.453789 0.891109i \(-0.350072\pi\)
\(440\) 68.7799 16.4204i 0.156318 0.0373190i
\(441\) −50.7968 255.373i −0.115185 0.579076i
\(442\) 2.15047 + 47.3428i 0.00486532 + 0.107110i
\(443\) 558.242 + 169.341i 1.26014 + 0.382259i 0.848553 0.529111i \(-0.177474\pi\)
0.411588 + 0.911370i \(0.364974\pi\)
\(444\) −67.7931 7.18329i −0.152687 0.0161786i
\(445\) −93.5959 + 76.8122i −0.210328 + 0.172612i
\(446\) −468.870 350.431i −1.05128 0.785719i
\(447\) 97.7458 0.218671
\(448\) −504.374 284.146i −1.12584 0.634254i
\(449\) 804.024i 1.79070i 0.445363 + 0.895350i \(0.353075\pi\)
−0.445363 + 0.895350i \(0.646925\pi\)
\(450\) 304.608 + 227.662i 0.676906 + 0.505916i
\(451\) −34.6202 42.1848i −0.0767632 0.0935362i
\(452\) −120.917 149.578i −0.267515 0.330925i
\(453\) −26.7275 + 88.1089i −0.0590012 + 0.194501i
\(454\) −22.7599 501.061i −0.0501319 1.10366i
\(455\) 19.6913 3.91683i 0.0432775 0.00860843i
\(456\) −134.193 + 97.2372i −0.294283 + 0.213239i
\(457\) 131.339 + 26.1249i 0.287394 + 0.0571661i 0.336682 0.941618i \(-0.390695\pi\)
−0.0492883 + 0.998785i \(0.515695\pi\)
\(458\) −40.1732 54.5877i −0.0877144 0.119187i
\(459\) −188.853 + 18.6004i −0.411444 + 0.0405237i
\(460\) −89.2222 + 58.6672i −0.193961 + 0.127537i
\(461\) 330.003 100.105i 0.715842 0.217148i 0.0887056 0.996058i \(-0.471727\pi\)
0.627136 + 0.778910i \(0.284227\pi\)
\(462\) −146.596 69.9990i −0.317308 0.151513i
\(463\) 182.651 + 440.958i 0.394494 + 0.952392i 0.988948 + 0.148263i \(0.0473682\pi\)
−0.594454 + 0.804130i \(0.702632\pi\)
\(464\) −200.172 388.189i −0.431405 0.836615i
\(465\) 18.6776 + 7.73650i 0.0401668 + 0.0166376i
\(466\) 574.324 516.684i 1.23245 1.10876i
\(467\) −312.219 166.884i −0.668562 0.357354i 0.101941 0.994790i \(-0.467495\pi\)
−0.770503 + 0.637436i \(0.779995\pi\)
\(468\) −64.2132 + 26.0437i −0.137208 + 0.0556489i
\(469\) −473.216 + 576.615i −1.00899 + 1.22946i
\(470\) 124.348 + 75.1575i 0.264571 + 0.159910i
\(471\) 119.440 + 178.754i 0.253588 + 0.379521i
\(472\) −50.1847 366.246i −0.106324 0.775945i
\(473\) −286.378 + 428.595i −0.605450 + 0.906120i
\(474\) 35.2774 97.4570i 0.0744250 0.205606i
\(475\) −423.992 + 226.629i −0.892615 + 0.477113i
\(476\) 391.024 35.5967i 0.821479 0.0747830i
\(477\) 730.327 + 71.9310i 1.53108 + 0.150799i
\(478\) 9.57081 37.6185i 0.0200226 0.0786998i
\(479\) −533.726 + 533.726i −1.11425 + 1.11425i −0.121681 + 0.992569i \(0.538829\pi\)
−0.992569 + 0.121681i \(0.961171\pi\)
\(480\) 30.0952 + 14.9205i 0.0626984 + 0.0310843i
\(481\) 25.4821 25.4821i 0.0529774 0.0529774i
\(482\) −24.0593 + 14.3000i −0.0499155 + 0.0296680i
\(483\) 244.133 + 24.0450i 0.505452 + 0.0497827i
\(484\) −160.736 + 84.3937i −0.332099 + 0.174367i
\(485\) −113.604 + 60.7227i −0.234236 + 0.125201i
\(486\) −180.264 384.808i −0.370913 0.791786i
\(487\) 87.6117 131.120i 0.179901 0.269241i −0.730549 0.682860i \(-0.760736\pi\)
0.910450 + 0.413620i \(0.135736\pi\)
\(488\) 174.880 + 85.0972i 0.358362 + 0.174380i
\(489\) −83.7290 125.309i −0.171225 0.256256i
\(490\) −15.9728 64.7817i −0.0325976 0.132208i
\(491\) 222.089 270.617i 0.452320 0.551154i −0.496060 0.868288i \(-0.665221\pi\)
0.948381 + 0.317134i \(0.102721\pi\)
\(492\) 0.191583 25.9228i 0.000389396 0.0526886i
\(493\) 261.253 + 139.642i 0.529924 + 0.283250i
\(494\) 4.62171 87.4799i 0.00935568 0.177085i
\(495\) −64.7877 26.8360i −0.130884 0.0542141i
\(496\) 301.302 + 64.5764i 0.607464 + 0.130194i
\(497\) −110.926 267.800i −0.223192 0.538832i
\(498\) −39.4590 111.579i −0.0792349 0.224053i
\(499\) 606.315 183.924i 1.21506 0.368585i 0.383250 0.923645i \(-0.374805\pi\)
0.831810 + 0.555060i \(0.187305\pi\)
\(500\) 164.722 + 111.834i 0.329445 + 0.223667i
\(501\) −37.3826 + 3.68186i −0.0746159 + 0.00734902i
\(502\) 79.5796 + 12.1052i 0.158525 + 0.0241140i
\(503\) 109.632 + 21.8071i 0.217956 + 0.0433541i 0.302860 0.953035i \(-0.402058\pi\)
−0.0849044 + 0.996389i \(0.527058\pi\)
\(504\) 239.691 + 521.669i 0.475578 + 1.03506i
\(505\) 189.105 37.6153i 0.374465 0.0744858i
\(506\) −307.972 + 337.281i −0.608640 + 0.666564i
\(507\) 49.2318 162.295i 0.0971041 0.320109i
\(508\) 192.152 + 650.713i 0.378251 + 1.28093i
\(509\) 342.808 + 417.713i 0.673494 + 0.820655i 0.991863 0.127312i \(-0.0406350\pi\)
−0.318369 + 0.947967i \(0.603135\pi\)
\(510\) −22.5485 + 3.25964i −0.0442127 + 0.00639145i
\(511\) 617.177i 1.20778i
\(512\) 492.245 + 140.851i 0.961416 + 0.275100i
\(513\) 350.777 0.683777
\(514\) −47.8479 330.986i −0.0930893 0.643942i
\(515\) −76.6000 + 62.8640i −0.148738 + 0.122066i
\(516\) −234.838 + 69.3463i −0.455113 + 0.134392i
\(517\) 594.710 + 180.403i 1.15031 + 0.348942i
\(518\) −220.482 201.323i −0.425642 0.388654i
\(519\) −42.5195 213.760i −0.0819258 0.411869i
\(520\) −16.1350 + 7.41354i −0.0310288 + 0.0142568i
\(521\) −50.2088 + 252.417i −0.0963700 + 0.484485i 0.902214 + 0.431289i \(0.141941\pi\)
−0.998584 + 0.0531963i \(0.983059\pi\)
\(522\) −65.1368 + 428.209i −0.124783 + 0.820323i
\(523\) 58.0985 + 589.884i 0.111087 + 1.12789i 0.875520 + 0.483182i \(0.160519\pi\)
−0.764433 + 0.644703i \(0.776981\pi\)
\(524\) 222.580 327.844i 0.424772 0.625656i
\(525\) −64.9867 214.232i −0.123784 0.408062i
\(526\) −900.914 + 318.602i −1.71276 + 0.605707i
\(527\) −193.089 + 79.9801i −0.366393 + 0.151765i
\(528\) 140.486 + 30.1095i 0.266071 + 0.0570256i
\(529\) 61.4992 148.472i 0.116256 0.280666i
\(530\) 187.792 + 9.92135i 0.354324 + 0.0187195i
\(531\) −172.814 + 323.312i −0.325450 + 0.608873i
\(532\) −725.765 5.36378i −1.36422 0.0100823i
\(533\) 10.5930 + 8.69346i 0.0198743 + 0.0163104i
\(534\) −238.859 + 58.8940i −0.447302 + 0.110288i
\(535\) 83.5655 55.8367i 0.156197 0.104368i
\(536\) 288.662 593.220i 0.538549 1.10675i
\(537\) −57.5461 38.4511i −0.107162 0.0716035i
\(538\) 624.848 292.711i 1.16143 0.544072i
\(539\) −134.530 251.688i −0.249591 0.466953i
\(540\) −33.0527 62.9520i −0.0612088 0.116578i
\(541\) 82.9935 842.647i 0.153407 1.55757i −0.542881 0.839810i \(-0.682666\pi\)
0.696288 0.717762i \(-0.254834\pi\)
\(542\) 479.529 + 806.792i 0.884740 + 1.48855i
\(543\) −15.1909 15.1909i −0.0279759 0.0279759i
\(544\) −329.068 + 110.929i −0.604905 + 0.203913i
\(545\) 36.3801 + 36.3801i 0.0667524 + 0.0667524i
\(546\) 39.5336 + 10.0580i 0.0724058 + 0.0184213i
\(547\) 28.4147 288.499i 0.0519464 0.527421i −0.933636 0.358224i \(-0.883383\pi\)
0.985582 0.169197i \(-0.0541175\pi\)
\(548\) 70.9493 + 779.367i 0.129470 + 1.42220i
\(549\) −90.9188 170.097i −0.165608 0.309831i
\(550\) 391.925 + 141.869i 0.712591 + 0.257943i
\(551\) −455.291 304.216i −0.826300 0.552116i
\(552\) −214.954 + 29.4540i −0.389410 + 0.0533587i
\(553\) 377.425 252.188i 0.682505 0.456036i
\(554\) 300.738 497.573i 0.542849 0.898146i
\(555\) 13.3919 + 10.9904i 0.0241295 + 0.0198026i
\(556\) −277.709 684.717i −0.499476 1.23151i
\(557\) 242.566 453.809i 0.435487 0.814738i −0.564456 0.825463i \(-0.690914\pi\)
0.999942 + 0.0107250i \(0.00341393\pi\)
\(558\) −204.381 227.181i −0.366275 0.407135i
\(559\) 49.5340 119.586i 0.0886118 0.213928i
\(560\) 67.4241 + 130.754i 0.120400 + 0.233490i
\(561\) −90.0300 + 37.2916i −0.160481 + 0.0664735i
\(562\) 129.337 270.865i 0.230137 0.481967i
\(563\) −19.7256 65.0267i −0.0350367 0.115500i 0.937678 0.347506i \(-0.112971\pi\)
−0.972715 + 0.232005i \(0.925471\pi\)
\(564\) 162.196 + 246.670i 0.287581 + 0.437358i
\(565\) 4.79090 + 48.6428i 0.00847947 + 0.0860935i
\(566\) 841.465 619.267i 1.48669 1.09411i
\(567\) 94.1347 473.247i 0.166022 0.834651i
\(568\) 150.424 + 207.594i 0.264830 + 0.365482i
\(569\) 169.472 + 851.991i 0.297841 + 1.49735i 0.782503 + 0.622647i \(0.213943\pi\)
−0.484662 + 0.874701i \(0.661057\pi\)
\(570\) 42.0700 1.91096i 0.0738070 0.00335256i
\(571\) −191.011 57.9425i −0.334520 0.101475i 0.118556 0.992947i \(-0.462173\pi\)
−0.453076 + 0.891472i \(0.649673\pi\)
\(572\) −59.0643 + 47.7467i −0.103259 + 0.0834732i
\(573\) −3.56100 + 2.92244i −0.00621466 + 0.00510024i
\(574\) 67.9690 90.9413i 0.118413 0.158434i
\(575\) −629.420 −1.09464
\(576\) −313.332 399.540i −0.543980 0.693646i
\(577\) 926.491i 1.60570i −0.596179 0.802852i \(-0.703315\pi\)
0.596179 0.802852i \(-0.296685\pi\)
\(578\) −205.025 + 274.319i −0.354714 + 0.474601i
\(579\) 214.024 + 260.789i 0.369644 + 0.450412i
\(580\) −11.6951 + 110.374i −0.0201640 + 0.190300i
\(581\) 150.462 496.008i 0.258971 0.853715i
\(582\) −261.459 + 11.8763i −0.449242 + 0.0204061i
\(583\) 788.895 156.921i 1.35317 0.269161i
\(584\) 126.752 + 530.927i 0.217042 + 0.909122i
\(585\) 17.2709 + 3.43539i 0.0295229 + 0.00587247i
\(586\) 511.760 376.624i 0.873311 0.642703i
\(587\) −974.531 + 95.9829i −1.66019 + 0.163514i −0.884160 0.467184i \(-0.845269\pi\)
−0.776028 + 0.630698i \(0.782769\pi\)
\(588\) 27.4297 132.763i 0.0466492 0.225788i
\(589\) 369.691 112.145i 0.627659 0.190398i
\(590\) −40.4789 + 84.7735i −0.0686082 + 0.143684i
\(591\) −5.16718 12.4747i −0.00874312 0.0211078i
\(592\) 231.017 + 127.907i 0.390231 + 0.216058i
\(593\) −142.829 59.1618i −0.240859 0.0997670i 0.258989 0.965880i \(-0.416611\pi\)
−0.499848 + 0.866113i \(0.666611\pi\)
\(594\) −203.400 226.090i −0.342424 0.380623i
\(595\) −87.9980 47.0359i −0.147896 0.0790519i
\(596\) −348.712 147.470i −0.585087 0.247433i
\(597\) 85.3123 103.953i 0.142902 0.174126i
\(598\) 59.3256 98.1544i 0.0992067 0.164138i
\(599\) −54.5264 81.6046i −0.0910291 0.136235i 0.783160 0.621820i \(-0.213606\pi\)
−0.874189 + 0.485585i \(0.838606\pi\)
\(600\) 99.9028 + 170.947i 0.166505 + 0.284912i
\(601\) −572.191 + 856.344i −0.952064 + 1.42486i −0.0473342 + 0.998879i \(0.515073\pi\)
−0.904730 + 0.425986i \(0.859927\pi\)
\(602\) −1008.37 365.010i −1.67504 0.606329i
\(603\) −576.995 + 308.410i −0.956874 + 0.511460i
\(604\) 228.282 274.008i 0.377950 0.453655i
\(605\) 45.9127 + 4.52201i 0.0758888 + 0.00747440i
\(606\) 379.661 + 96.5924i 0.626503 + 0.159393i
\(607\) −428.355 + 428.355i −0.705691 + 0.705691i −0.965626 0.259935i \(-0.916299\pi\)
0.259935 + 0.965626i \(0.416299\pi\)
\(608\) 625.441 144.439i 1.02869 0.237565i
\(609\) 180.302 180.302i 0.296062 0.296062i
\(610\) −25.2520 42.4857i −0.0413968 0.0696487i
\(611\) −155.305 15.2963i −0.254182 0.0250348i
\(612\) 328.803 + 102.401i 0.537259 + 0.167321i
\(613\) −577.397 + 308.625i −0.941920 + 0.503467i −0.869514 0.493909i \(-0.835568\pi\)
−0.0724060 + 0.997375i \(0.523068\pi\)
\(614\) 858.067 401.962i 1.39750 0.654662i
\(615\) −3.65999 + 5.47756i −0.00595120 + 0.00890659i
\(616\) 417.380 + 470.895i 0.677565 + 0.764440i
\(617\) 12.8169 + 19.1818i 0.0207729 + 0.0310889i 0.841711 0.539929i \(-0.181549\pi\)
−0.820938 + 0.571018i \(0.806549\pi\)
\(618\) −195.485 + 48.1995i −0.316319 + 0.0779928i
\(619\) 345.872 421.446i 0.558759 0.680850i −0.414635 0.909988i \(-0.636091\pi\)
0.973394 + 0.229138i \(0.0735907\pi\)
\(620\) −54.9608 55.7793i −0.0886465 0.0899665i
\(621\) 405.018 + 216.486i 0.652202 + 0.348609i
\(622\) 844.191 + 44.6000i 1.35722 + 0.0717042i
\(623\) −995.424 412.318i −1.59779 0.661827i
\(624\) −36.0745 0.533248i −0.0578117 0.000854563i
\(625\) 209.930 + 506.815i 0.335887 + 0.810904i
\(626\) 513.160 181.475i 0.819744 0.289897i
\(627\) 172.373 52.2887i 0.274917 0.0833951i
\(628\) −156.418 817.913i −0.249074 1.30241i
\(629\) −178.237 + 17.5548i −0.283365 + 0.0279091i
\(630\) 21.9401 144.234i 0.0348255 0.228943i
\(631\) −796.757 158.485i −1.26269 0.251165i −0.482049 0.876145i \(-0.660107\pi\)
−0.780641 + 0.624980i \(0.785107\pi\)
\(632\) −272.888 + 294.458i −0.431784 + 0.465915i
\(633\) −112.933 + 22.4637i −0.178409 + 0.0354877i
\(634\) −578.168 527.925i −0.911936 0.832689i
\(635\) 50.0513 164.997i 0.0788209 0.259838i
\(636\) 335.635 + 182.602i 0.527728 + 0.287111i
\(637\) 45.4625 + 55.3963i 0.0713697 + 0.0869643i
\(638\) 67.9229 + 469.854i 0.106462 + 0.736449i
\(639\) 254.235i 0.397864i
\(640\) −84.8552 98.6342i −0.132586 0.154116i
\(641\) −649.364 −1.01305 −0.506524 0.862226i \(-0.669070\pi\)
−0.506524 + 0.862226i \(0.669070\pi\)
\(642\) 202.104 29.2165i 0.314804 0.0455086i
\(643\) 167.276 137.280i 0.260150 0.213499i −0.495273 0.868738i \(-0.664932\pi\)
0.755422 + 0.655238i \(0.227432\pi\)
\(644\) −834.678 454.107i −1.29608 0.705135i
\(645\) 59.5463 + 18.0632i 0.0923199 + 0.0280049i
\(646\) −293.566 + 321.504i −0.454436 + 0.497684i
\(647\) −15.1298 76.0626i −0.0233845 0.117562i 0.967330 0.253521i \(-0.0815886\pi\)
−0.990715 + 0.135959i \(0.956589\pi\)
\(648\) 16.2134 + 426.444i 0.0250207 + 0.658092i
\(649\) −78.3897 + 394.092i −0.120785 + 0.607229i
\(650\) −103.475 15.7401i −0.159192 0.0242155i
\(651\) 17.6331 + 179.032i 0.0270861 + 0.275010i
\(652\) 109.651 + 573.368i 0.168177 + 0.879399i
\(653\) −236.880 780.890i −0.362757 1.19585i −0.928520 0.371282i \(-0.878918\pi\)
0.565763 0.824568i \(-0.308582\pi\)
\(654\) 34.8531 + 98.5544i 0.0532922 + 0.150695i
\(655\) −93.0347 + 38.5362i −0.142038 + 0.0588340i
\(656\) −39.7933 + 92.1914i −0.0606606 + 0.140536i
\(657\) 207.153 500.111i 0.315301 0.761204i
\(658\) −68.2128 + 1291.14i −0.103667 + 1.96221i
\(659\) −197.902 + 370.249i −0.300307 + 0.561834i −0.986138 0.165926i \(-0.946939\pi\)
0.685832 + 0.727760i \(0.259439\pi\)
\(660\) −25.6261 26.0077i −0.0388275 0.0394057i
\(661\) 419.606 + 344.362i 0.634804 + 0.520971i 0.895850 0.444356i \(-0.146567\pi\)
−0.261046 + 0.965326i \(0.584067\pi\)
\(662\) 142.412 + 577.588i 0.215124 + 0.872489i
\(663\) 20.3461 13.5948i 0.0306879 0.0205050i
\(664\) −27.5680 + 457.593i −0.0415181 + 0.689146i
\(665\) 153.356 + 102.469i 0.230611 + 0.154089i
\(666\) −111.088 237.140i −0.166799 0.356066i
\(667\) −337.942 632.244i −0.506659 0.947893i
\(668\) 138.919 + 43.2642i 0.207962 + 0.0647667i
\(669\) −29.6248 + 300.785i −0.0442821 + 0.449604i
\(670\) −144.118 + 85.6586i −0.215101 + 0.127849i
\(671\) −149.480 149.480i −0.222772 0.222772i
\(672\) 9.14865 + 298.771i 0.0136141 + 0.444599i
\(673\) 506.643 + 506.643i 0.752813 + 0.752813i 0.975003 0.222190i \(-0.0713205\pi\)
−0.222190 + 0.975003i \(0.571321\pi\)
\(674\) 279.952 1100.36i 0.415358 1.63258i
\(675\) 41.0793 417.085i 0.0608582 0.617904i
\(676\) −420.492 + 504.719i −0.622030 + 0.746625i
\(677\) −254.244 475.657i −0.375545 0.702595i 0.621162 0.783682i \(-0.286661\pi\)
−0.996707 + 0.0810869i \(0.974161\pi\)
\(678\) −33.8025 + 93.3822i −0.0498561 + 0.137732i
\(679\) −953.086 636.832i −1.40366 0.937897i
\(680\) 85.3603 + 22.3901i 0.125530 + 0.0329267i
\(681\) −215.337 + 143.883i −0.316207 + 0.211283i
\(682\) −286.648 173.253i −0.420306 0.254037i
\(683\) 334.572 + 274.576i 0.489856 + 0.402014i 0.846635 0.532175i \(-0.178625\pi\)
−0.356779 + 0.934189i \(0.616125\pi\)
\(684\) −586.301 247.946i −0.857165 0.362494i
\(685\) 93.7492 175.392i 0.136860 0.256047i
\(686\) −217.616 + 195.776i −0.317225 + 0.285388i
\(687\) −13.3923 + 32.3318i −0.0194939 + 0.0470623i
\(688\) 942.417 + 106.906i 1.36979 + 0.155387i
\(689\) −186.605 + 77.2944i −0.270835 + 0.112184i
\(690\) 49.7546 + 23.7575i 0.0721081 + 0.0344312i
\(691\) 360.078 + 1187.02i 0.521097 + 1.71783i 0.682452 + 0.730930i \(0.260914\pi\)
−0.161355 + 0.986896i \(0.551586\pi\)
\(692\) −170.811 + 826.746i −0.246837 + 1.19472i
\(693\) −61.1647 621.015i −0.0882607 0.896126i
\(694\) 4.52823 + 6.15300i 0.00652483 + 0.00886600i
\(695\) −36.6322 + 184.163i −0.0527082 + 0.264982i
\(696\) −118.075 + 192.134i −0.169649 + 0.276055i
\(697\) −13.2866 66.7961i −0.0190625 0.0958338i
\(698\) −26.5456 584.403i −0.0380309 0.837253i
\(699\) −381.713 115.791i −0.546084 0.165653i
\(700\) −91.3715 + 862.328i −0.130531 + 1.23190i
\(701\) −773.699 + 634.959i −1.10371 + 0.905790i −0.996085 0.0884021i \(-0.971824\pi\)
−0.107623 + 0.994192i \(0.534324\pi\)
\(702\) 61.1701 + 45.7182i 0.0871369 + 0.0651256i
\(703\) 331.059 0.470923
\(704\) −455.761 319.369i −0.647388 0.453648i
\(705\) 75.0222i 0.106414i
\(706\) 966.964 + 722.703i 1.36964 + 1.02366i
\(707\) 1088.45 + 1326.28i 1.53953 + 1.87593i
\(708\) −148.438 + 119.995i −0.209658 + 0.169485i
\(709\) −43.9538 + 144.896i −0.0619940 + 0.204367i −0.982466 0.186442i \(-0.940305\pi\)
0.920472 + 0.390808i \(0.127805\pi\)
\(710\) −2.95621 65.0813i −0.00416368 0.0916638i
\(711\) 390.481 77.6715i 0.549200 0.109243i
\(712\) 940.994 + 150.262i 1.32162 + 0.211043i
\(713\) 496.067 + 98.6738i 0.695746 + 0.138392i
\(714\) −120.167 163.284i −0.168301 0.228688i
\(715\) 19.2077 1.89180i 0.0268639 0.00264587i
\(716\) 147.286 + 223.996i 0.205707 + 0.312843i
\(717\) −19.1796 + 5.81806i −0.0267498 + 0.00811445i
\(718\) −549.906 262.577i −0.765885 0.365706i
\(719\) 186.285 + 449.731i 0.259088 + 0.625495i 0.998879 0.0473428i \(-0.0150753\pi\)
−0.739790 + 0.672837i \(0.765075\pi\)
\(720\) 10.7480 + 128.583i 0.0149278 + 0.178588i
\(721\) −814.666 337.446i −1.12991 0.468025i
\(722\) 61.5294 55.3543i 0.0852208 0.0766680i
\(723\) 12.7449 + 6.81231i 0.0176278 + 0.00942228i
\(724\) 31.2755 + 77.1127i 0.0431982 + 0.106509i
\(725\) −415.041 + 505.729i −0.572470 + 0.697557i
\(726\) 80.2231 + 48.4877i 0.110500 + 0.0667875i
\(727\) −552.414 826.745i −0.759854 1.13720i −0.986586 0.163244i \(-0.947804\pi\)
0.226732 0.973957i \(-0.427196\pi\)
\(728\) −125.863 95.5271i −0.172889 0.131218i
\(729\) 144.829 216.752i 0.198668 0.297327i
\(730\) 47.2135 130.431i 0.0646760 0.178673i
\(731\) −567.332 + 303.245i −0.776103 + 0.414836i
\(732\) −9.10407 100.007i −0.0124373 0.136621i
\(733\) 1433.44 + 141.182i 1.95559 + 0.192608i 0.996037 0.0889361i \(-0.0283467\pi\)
0.959548 + 0.281544i \(0.0908467\pi\)
\(734\) 10.9412 43.0049i 0.0149063 0.0585897i
\(735\) −24.3605 + 24.3605i −0.0331436 + 0.0331436i
\(736\) 811.294 + 219.225i 1.10230 + 0.297859i
\(737\) −507.059 + 507.059i −0.688004 + 0.688004i
\(738\) 85.6007 50.8781i 0.115990 0.0689405i
\(739\) −158.993 15.6594i −0.215146 0.0211900i −0.0101300 0.999949i \(-0.503225\pi\)
−0.205016 + 0.978759i \(0.565725\pi\)
\(740\) −31.1947 59.4133i −0.0421550 0.0802882i
\(741\) −39.8912 + 21.3223i −0.0538342 + 0.0287750i
\(742\) 709.881 + 1515.38i 0.956713 + 2.04229i
\(743\) −176.072 + 263.510i −0.236974 + 0.354657i −0.930827 0.365460i \(-0.880912\pi\)
0.693853 + 0.720117i \(0.255912\pi\)
\(744\) −51.9374 150.391i −0.0698084 0.202138i
\(745\) 53.4541 + 79.9997i 0.0717505 + 0.107382i
\(746\) −161.438 654.754i −0.216405 0.877686i
\(747\) 288.406 351.423i 0.386085 0.470446i
\(748\) 377.448 + 2.78953i 0.504609 + 0.00372932i
\(749\) 788.735 + 421.588i 1.05305 + 0.562868i
\(750\) 5.42364 102.659i 0.00723151 0.136878i
\(751\) 1025.43 + 424.747i 1.36542 + 0.565575i 0.940543 0.339676i \(-0.110317\pi\)
0.424877 + 0.905251i \(0.360317\pi\)
\(752\) −206.486 1124.71i −0.274583 1.49563i
\(753\) −15.9053 38.3988i −0.0211226 0.0509944i