Properties

Label 588.2.x.a.139.15
Level $588$
Weight $2$
Character 588.139
Analytic conductor $4.695$
Analytic rank $0$
Dimension $168$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 588 = 2^{2} \cdot 3 \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 588.x (of order \(14\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.69520363885\)
Analytic rank: \(0\)
Dimension: \(168\)
Relative dimension: \(28\) over \(\Q(\zeta_{14})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{14}]$

Embedding invariants

Embedding label 139.15
Character \(\chi\) \(=\) 588.139
Dual form 588.2.x.a.55.15

$q$-expansion

\(f(q)\) \(=\) \(q+(0.0809236 + 1.41190i) q^{2} +(-0.900969 + 0.433884i) q^{3} +(-1.98690 + 0.228511i) q^{4} +(-0.881995 - 1.83148i) q^{5} +(-0.685509 - 1.23696i) q^{6} +(-1.70818 + 2.02043i) q^{7} +(-0.483422 - 2.78681i) q^{8} +(0.623490 - 0.781831i) q^{9} +O(q^{10})\) \(q+(0.0809236 + 1.41190i) q^{2} +(-0.900969 + 0.433884i) q^{3} +(-1.98690 + 0.228511i) q^{4} +(-0.881995 - 1.83148i) q^{5} +(-0.685509 - 1.23696i) q^{6} +(-1.70818 + 2.02043i) q^{7} +(-0.483422 - 2.78681i) q^{8} +(0.623490 - 0.781831i) q^{9} +(2.51449 - 1.39349i) q^{10} +(3.11985 - 2.48800i) q^{11} +(1.69099 - 1.06797i) q^{12} +(1.46088 - 1.16501i) q^{13} +(-2.99087 - 2.24827i) q^{14} +(1.58930 + 1.26742i) q^{15} +(3.89557 - 0.908060i) q^{16} +(1.45920 - 0.333054i) q^{17} +(1.15432 + 0.817034i) q^{18} -5.08805 q^{19} +(2.17095 + 3.43743i) q^{20} +(0.662382 - 2.56149i) q^{21} +(3.76526 + 4.20357i) q^{22} +(5.98730 + 1.36656i) q^{23} +(1.64470 + 2.30108i) q^{24} +(0.541042 - 0.678446i) q^{25} +(1.76310 + 1.96833i) q^{26} +(-0.222521 + 0.974928i) q^{27} +(2.93229 - 4.40473i) q^{28} +(0.581766 + 2.54888i) q^{29} +(-1.66086 + 2.34649i) q^{30} +7.17708 q^{31} +(1.59733 + 5.42665i) q^{32} +(-1.73139 + 3.59526i) q^{33} +(0.588321 + 2.03329i) q^{34} +(5.20698 + 1.34648i) q^{35} +(-1.06016 + 1.69590i) q^{36} +(-1.48774 - 6.51823i) q^{37} +(-0.411743 - 7.18380i) q^{38} +(-0.810727 + 1.68349i) q^{39} +(-4.67761 + 3.34333i) q^{40} +(4.31387 + 8.95784i) q^{41} +(3.67017 + 0.727930i) q^{42} +(5.51444 - 11.4509i) q^{43} +(-5.63030 + 5.65633i) q^{44} +(-1.98182 - 0.452338i) q^{45} +(-1.44493 + 8.56403i) q^{46} +(-6.29117 - 7.88888i) q^{47} +(-3.11579 + 2.50836i) q^{48} +(-1.16427 - 6.90250i) q^{49} +(1.00168 + 0.708994i) q^{50} +(-1.17019 + 0.933196i) q^{51} +(-2.63641 + 2.64859i) q^{52} +(-0.0266545 + 0.116781i) q^{53} +(-1.39450 - 0.235282i) q^{54} +(-7.30841 - 3.51954i) q^{55} +(6.45632 + 3.78364i) q^{56} +(4.58417 - 2.20762i) q^{57} +(-3.55168 + 1.02766i) q^{58} +(4.65159 + 2.24009i) q^{59} +(-3.44740 - 2.15507i) q^{60} +(-5.32332 + 1.21501i) q^{61} +(0.580795 + 10.1333i) q^{62} +(0.514604 + 2.59522i) q^{63} +(-7.53261 + 2.69441i) q^{64} +(-3.42218 - 1.64804i) q^{65} +(-5.21624 - 2.15360i) q^{66} -7.66604i q^{67} +(-2.82319 + 0.995190i) q^{68} +(-5.98730 + 1.36656i) q^{69} +(-1.47973 + 7.46068i) q^{70} +(10.2617 + 2.34216i) q^{71} +(-2.48022 - 1.35959i) q^{72} +(-0.170928 - 0.136311i) q^{73} +(9.08267 - 2.62802i) q^{74} +(-0.193096 + 0.846008i) q^{75} +(10.1095 - 1.16268i) q^{76} +(-0.302432 + 10.5534i) q^{77} +(-2.44252 - 1.00843i) q^{78} +2.43942i q^{79} +(-5.09896 - 6.33375i) q^{80} +(-0.222521 - 0.974928i) q^{81} +(-12.2984 + 6.81564i) q^{82} +(4.29245 - 5.38256i) q^{83} +(-0.730759 + 5.24080i) q^{84} +(-1.89699 - 2.37875i) q^{85} +(16.6137 + 6.85918i) q^{86} +(-1.63007 - 2.04405i) q^{87} +(-8.44177 - 7.49167i) q^{88} +(-6.92689 - 5.52401i) q^{89} +(0.478279 - 2.83473i) q^{90} +(-0.141615 + 4.94165i) q^{91} +(-12.2085 - 1.34706i) q^{92} +(-6.46633 + 3.11402i) q^{93} +(10.6292 - 9.52088i) q^{94} +(4.48763 + 9.31866i) q^{95} +(-3.79368 - 4.19619i) q^{96} -14.2689i q^{97} +(9.65140 - 2.20240i) q^{98} -3.99044i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 168 q - 28 q^{3} + 2 q^{7} + 6 q^{8} - 28 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 168 q - 28 q^{3} + 2 q^{7} + 6 q^{8} - 28 q^{9} + 20 q^{10} - 12 q^{14} + 36 q^{16} + 12 q^{19} - 25 q^{20} + 2 q^{21} - 6 q^{22} - 15 q^{24} + 32 q^{25} + 6 q^{26} - 28 q^{27} - 66 q^{28} - 8 q^{30} - 4 q^{31} + 25 q^{32} - 68 q^{34} - 12 q^{35} - 10 q^{37} + 35 q^{38} + 14 q^{39} + 16 q^{40} + 9 q^{42} + 20 q^{44} - 28 q^{46} - 8 q^{47} + 8 q^{48} - 8 q^{49} + 114 q^{50} + 20 q^{52} - 8 q^{53} - q^{56} + 12 q^{57} - 6 q^{58} + 20 q^{59} + 10 q^{60} - 14 q^{61} - 16 q^{62} - 12 q^{63} + 42 q^{64} - 8 q^{65} - 6 q^{66} - 16 q^{68} + 59 q^{70} + 28 q^{71} - 15 q^{72} + 22 q^{74} + 18 q^{75} + 7 q^{76} + 8 q^{77} + 6 q^{78} + 26 q^{80} - 28 q^{81} + 12 q^{82} + 10 q^{83} + 11 q^{84} - 24 q^{85} - 6 q^{86} - 242 q^{88} + 20 q^{90} - 16 q^{91} + 7 q^{92} - 4 q^{93} - 53 q^{94} - 10 q^{96} - 118 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/588\mathbb{Z}\right)^\times\).

\(n\) \(197\) \(295\) \(493\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{5}{14}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.0809236 + 1.41190i 0.0572216 + 0.998362i
\(3\) −0.900969 + 0.433884i −0.520175 + 0.250503i
\(4\) −1.98690 + 0.228511i −0.993451 + 0.114256i
\(5\) −0.881995 1.83148i −0.394440 0.819063i −0.999734 0.0230611i \(-0.992659\pi\)
0.605294 0.796002i \(-0.293056\pi\)
\(6\) −0.685509 1.23696i −0.279858 0.504988i
\(7\) −1.70818 + 2.02043i −0.645630 + 0.763650i
\(8\) −0.483422 2.78681i −0.170915 0.985286i
\(9\) 0.623490 0.781831i 0.207830 0.260610i
\(10\) 2.51449 1.39349i 0.795150 0.440662i
\(11\) 3.11985 2.48800i 0.940670 0.750159i −0.0277162 0.999616i \(-0.508823\pi\)
0.968386 + 0.249457i \(0.0802520\pi\)
\(12\) 1.69099 1.06797i 0.488147 0.308295i
\(13\) 1.46088 1.16501i 0.405175 0.323116i −0.399607 0.916686i \(-0.630854\pi\)
0.804782 + 0.593570i \(0.202282\pi\)
\(14\) −2.99087 2.24827i −0.799343 0.600875i
\(15\) 1.58930 + 1.26742i 0.410355 + 0.327247i
\(16\) 3.89557 0.908060i 0.973891 0.227015i
\(17\) 1.45920 0.333054i 0.353909 0.0807774i −0.0418705 0.999123i \(-0.513332\pi\)
0.395779 + 0.918346i \(0.370475\pi\)
\(18\) 1.15432 + 0.817034i 0.272076 + 0.192577i
\(19\) −5.08805 −1.16728 −0.583639 0.812013i \(-0.698372\pi\)
−0.583639 + 0.812013i \(0.698372\pi\)
\(20\) 2.17095 + 3.43743i 0.485440 + 0.768632i
\(21\) 0.662382 2.56149i 0.144544 0.558964i
\(22\) 3.76526 + 4.20357i 0.802757 + 0.896203i
\(23\) 5.98730 + 1.36656i 1.24844 + 0.284948i 0.795148 0.606415i \(-0.207393\pi\)
0.453290 + 0.891363i \(0.350250\pi\)
\(24\) 1.64470 + 2.30108i 0.335723 + 0.469706i
\(25\) 0.541042 0.678446i 0.108208 0.135689i
\(26\) 1.76310 + 1.96833i 0.345772 + 0.386022i
\(27\) −0.222521 + 0.974928i −0.0428242 + 0.187625i
\(28\) 2.93229 4.40473i 0.554151 0.832416i
\(29\) 0.581766 + 2.54888i 0.108031 + 0.473316i 0.999784 + 0.0207925i \(0.00661892\pi\)
−0.891753 + 0.452523i \(0.850524\pi\)
\(30\) −1.66086 + 2.34649i −0.303230 + 0.428409i
\(31\) 7.17708 1.28904 0.644521 0.764587i \(-0.277057\pi\)
0.644521 + 0.764587i \(0.277057\pi\)
\(32\) 1.59733 + 5.42665i 0.282371 + 0.959305i
\(33\) −1.73139 + 3.59526i −0.301395 + 0.625854i
\(34\) 0.588321 + 2.03329i 0.100896 + 0.348707i
\(35\) 5.20698 + 1.34648i 0.880140 + 0.227597i
\(36\) −1.06016 + 1.69590i −0.176693 + 0.282650i
\(37\) −1.48774 6.51823i −0.244583 1.07159i −0.936790 0.349891i \(-0.886219\pi\)
0.692207 0.721699i \(-0.256639\pi\)
\(38\) −0.411743 7.18380i −0.0667935 1.16537i
\(39\) −0.810727 + 1.68349i −0.129820 + 0.269574i
\(40\) −4.67761 + 3.34333i −0.739595 + 0.528627i
\(41\) 4.31387 + 8.95784i 0.673713 + 1.39898i 0.904711 + 0.426026i \(0.140087\pi\)
−0.230998 + 0.972954i \(0.574199\pi\)
\(42\) 3.67017 + 0.727930i 0.566319 + 0.112322i
\(43\) 5.51444 11.4509i 0.840945 1.74624i 0.198197 0.980162i \(-0.436491\pi\)
0.642748 0.766078i \(-0.277794\pi\)
\(44\) −5.63030 + 5.65633i −0.848800 + 0.852723i
\(45\) −1.98182 0.452338i −0.295433 0.0674306i
\(46\) −1.44493 + 8.56403i −0.213043 + 1.26270i
\(47\) −6.29117 7.88888i −0.917661 1.15071i −0.988195 0.153202i \(-0.951042\pi\)
0.0705335 0.997509i \(-0.477530\pi\)
\(48\) −3.11579 + 2.50836i −0.449726 + 0.362050i
\(49\) −1.16427 6.90250i −0.166324 0.986071i
\(50\) 1.00168 + 0.708994i 0.141659 + 0.100267i
\(51\) −1.17019 + 0.933196i −0.163859 + 0.130674i
\(52\) −2.63641 + 2.64859i −0.365604 + 0.367294i
\(53\) −0.0266545 + 0.116781i −0.00366128 + 0.0160411i −0.976726 0.214493i \(-0.931190\pi\)
0.973064 + 0.230534i \(0.0740473\pi\)
\(54\) −1.39450 0.235282i −0.189768 0.0320178i
\(55\) −7.30841 3.51954i −0.985465 0.474575i
\(56\) 6.45632 + 3.78364i 0.862762 + 0.505610i
\(57\) 4.58417 2.20762i 0.607188 0.292407i
\(58\) −3.55168 + 1.02766i −0.466359 + 0.134938i
\(59\) 4.65159 + 2.24009i 0.605586 + 0.291635i 0.711440 0.702747i \(-0.248043\pi\)
−0.105854 + 0.994382i \(0.533758\pi\)
\(60\) −3.44740 2.15507i −0.445058 0.278219i
\(61\) −5.32332 + 1.21501i −0.681581 + 0.155566i −0.549274 0.835642i \(-0.685096\pi\)
−0.132307 + 0.991209i \(0.542239\pi\)
\(62\) 0.580795 + 10.1333i 0.0737611 + 1.28693i
\(63\) 0.514604 + 2.59522i 0.0648341 + 0.326967i
\(64\) −7.53261 + 2.69441i −0.941576 + 0.336801i
\(65\) −3.42218 1.64804i −0.424470 0.204414i
\(66\) −5.21624 2.15360i −0.642075 0.265089i
\(67\) 7.66604i 0.936556i −0.883581 0.468278i \(-0.844875\pi\)
0.883581 0.468278i \(-0.155125\pi\)
\(68\) −2.82319 + 0.995190i −0.342362 + 0.120685i
\(69\) −5.98730 + 1.36656i −0.720786 + 0.164515i
\(70\) −1.47973 + 7.46068i −0.176861 + 0.891721i
\(71\) 10.2617 + 2.34216i 1.21784 + 0.277964i 0.782699 0.622400i \(-0.213842\pi\)
0.435138 + 0.900364i \(0.356699\pi\)
\(72\) −2.48022 1.35959i −0.292297 0.160230i
\(73\) −0.170928 0.136311i −0.0200056 0.0159539i 0.613436 0.789744i \(-0.289787\pi\)
−0.633442 + 0.773791i \(0.718358\pi\)
\(74\) 9.08267 2.62802i 1.05584 0.305501i
\(75\) −0.193096 + 0.846008i −0.0222968 + 0.0976886i
\(76\) 10.1095 1.16268i 1.15963 0.133368i
\(77\) −0.302432 + 10.5534i −0.0344653 + 1.20267i
\(78\) −2.44252 1.00843i −0.276561 0.114182i
\(79\) 2.43942i 0.274456i 0.990539 + 0.137228i \(0.0438193\pi\)
−0.990539 + 0.137228i \(0.956181\pi\)
\(80\) −5.09896 6.33375i −0.570081 0.708135i
\(81\) −0.222521 0.974928i −0.0247245 0.108325i
\(82\) −12.2984 + 6.81564i −1.35814 + 0.752661i
\(83\) 4.29245 5.38256i 0.471157 0.590813i −0.488297 0.872678i \(-0.662382\pi\)
0.959454 + 0.281865i \(0.0909530\pi\)
\(84\) −0.730759 + 5.24080i −0.0797323 + 0.571818i
\(85\) −1.89699 2.37875i −0.205758 0.258012i
\(86\) 16.6137 + 6.85918i 1.79150 + 0.739644i
\(87\) −1.63007 2.04405i −0.174762 0.219145i
\(88\) −8.44177 7.49167i −0.899896 0.798615i
\(89\) −6.92689 5.52401i −0.734249 0.585544i 0.183352 0.983047i \(-0.441305\pi\)
−0.917601 + 0.397504i \(0.869877\pi\)
\(90\) 0.478279 2.83473i 0.0504150 0.298807i
\(91\) −0.141615 + 4.94165i −0.0148453 + 0.518025i
\(92\) −12.2085 1.34706i −1.27282 0.140441i
\(93\) −6.46633 + 3.11402i −0.670527 + 0.322909i
\(94\) 10.6292 9.52088i 1.09632 0.982003i
\(95\) 4.48763 + 9.31866i 0.460421 + 0.956074i
\(96\) −3.79368 4.19619i −0.387191 0.428272i
\(97\) 14.2689i 1.44879i −0.689385 0.724395i \(-0.742119\pi\)
0.689385 0.724395i \(-0.257881\pi\)
\(98\) 9.65140 2.20240i 0.974938 0.222476i
\(99\) 3.99044i 0.401054i
\(100\) −0.919966 + 1.47164i −0.0919966 + 0.147164i
\(101\) −3.17124 6.58515i −0.315550 0.655247i 0.681515 0.731804i \(-0.261322\pi\)
−0.997065 + 0.0765572i \(0.975607\pi\)
\(102\) −1.41227 1.57667i −0.139836 0.156114i
\(103\) −12.7888 + 6.15875i −1.26011 + 0.606839i −0.940205 0.340609i \(-0.889367\pi\)
−0.319910 + 0.947448i \(0.603653\pi\)
\(104\) −3.95289 3.50800i −0.387612 0.343988i
\(105\) −5.27554 + 1.04608i −0.514840 + 0.102087i
\(106\) −0.167040 0.0281830i −0.0162243 0.00273738i
\(107\) −2.43839 1.94455i −0.235728 0.187986i 0.498500 0.866889i \(-0.333884\pi\)
−0.734228 + 0.678903i \(0.762456\pi\)
\(108\) 0.219345 1.98794i 0.0211065 0.191289i
\(109\) 8.88746 + 11.1445i 0.851264 + 1.06745i 0.996944 + 0.0781196i \(0.0248916\pi\)
−0.145680 + 0.989332i \(0.546537\pi\)
\(110\) 4.37781 10.6035i 0.417408 1.01101i
\(111\) 4.16856 + 5.22721i 0.395662 + 0.496145i
\(112\) −4.81964 + 9.42184i −0.455413 + 0.890280i
\(113\) 6.06767 7.60861i 0.570798 0.715758i −0.409715 0.912214i \(-0.634372\pi\)
0.980513 + 0.196456i \(0.0629432\pi\)
\(114\) 3.48790 + 6.29373i 0.326672 + 0.589462i
\(115\) −2.77793 12.1709i −0.259044 1.13494i
\(116\) −1.73836 4.93144i −0.161403 0.457873i
\(117\) 1.86853i 0.172746i
\(118\) −2.78635 + 6.74884i −0.256504 + 0.621281i
\(119\) −1.81967 + 3.51713i −0.166808 + 0.322415i
\(120\) 2.76377 5.04177i 0.252296 0.460249i
\(121\) 1.09560 4.80014i 0.0996000 0.436376i
\(122\) −2.14625 7.41765i −0.194313 0.671563i
\(123\) −7.77332 6.19902i −0.700897 0.558947i
\(124\) −14.2602 + 1.64005i −1.28060 + 0.147280i
\(125\) −11.6289 2.65421i −1.04012 0.237400i
\(126\) −3.62254 + 0.936583i −0.322722 + 0.0834374i
\(127\) 6.25693 1.42810i 0.555213 0.126724i 0.0642973 0.997931i \(-0.479519\pi\)
0.490916 + 0.871207i \(0.336662\pi\)
\(128\) −4.41379 10.4172i −0.390128 0.920761i
\(129\) 12.7095i 1.11901i
\(130\) 2.04992 4.96513i 0.179790 0.435471i
\(131\) −3.06962 1.47825i −0.268194 0.129155i 0.294954 0.955511i \(-0.404696\pi\)
−0.563148 + 0.826356i \(0.690410\pi\)
\(132\) 2.61854 7.53907i 0.227914 0.656192i
\(133\) 8.69128 10.2800i 0.753630 0.891392i
\(134\) 10.8237 0.620364i 0.935022 0.0535913i
\(135\) 1.98182 0.452338i 0.170568 0.0389311i
\(136\) −1.63357 3.90552i −0.140077 0.334895i
\(137\) 6.36340 + 3.06445i 0.543662 + 0.261814i 0.685496 0.728077i \(-0.259586\pi\)
−0.141834 + 0.989890i \(0.545300\pi\)
\(138\) −2.41396 8.34286i −0.205490 0.710191i
\(139\) 9.91716 4.77585i 0.841163 0.405083i 0.0368731 0.999320i \(-0.488260\pi\)
0.804290 + 0.594237i \(0.202546\pi\)
\(140\) −10.6534 1.48548i −0.900381 0.125546i
\(141\) 9.09100 + 4.37800i 0.765601 + 0.368694i
\(142\) −2.47648 + 14.6780i −0.207821 + 1.23175i
\(143\) 1.65918 7.26932i 0.138747 0.607891i
\(144\) 1.71890 3.61184i 0.143241 0.300987i
\(145\) 4.15512 3.31359i 0.345064 0.275179i
\(146\) 0.178624 0.252363i 0.0147831 0.0208857i
\(147\) 4.04385 + 5.71378i 0.333531 + 0.471265i
\(148\) 4.44549 + 12.6111i 0.365417 + 1.03663i
\(149\) −2.98984 3.74914i −0.244937 0.307142i 0.644132 0.764914i \(-0.277219\pi\)
−0.889069 + 0.457773i \(0.848647\pi\)
\(150\) −1.21010 0.204169i −0.0988044 0.0166704i
\(151\) −8.31757 1.89843i −0.676875 0.154492i −0.129754 0.991546i \(-0.541419\pi\)
−0.547120 + 0.837054i \(0.684276\pi\)
\(152\) 2.45967 + 14.1794i 0.199506 + 1.15010i
\(153\) 0.649407 1.34851i 0.0525014 0.109020i
\(154\) −14.9247 + 0.427014i −1.20267 + 0.0344098i
\(155\) −6.33015 13.1447i −0.508450 1.05581i
\(156\) 1.22614 3.53019i 0.0981696 0.282642i
\(157\) 0.773651 1.60650i 0.0617441 0.128213i −0.867813 0.496890i \(-0.834475\pi\)
0.929557 + 0.368678i \(0.120189\pi\)
\(158\) −3.44421 + 0.197407i −0.274006 + 0.0157048i
\(159\) −0.0266545 0.116781i −0.00211384 0.00926133i
\(160\) 8.52997 7.71175i 0.674353 0.609668i
\(161\) −12.9884 + 9.76259i −1.02363 + 0.769400i
\(162\) 1.35849 0.393071i 0.106733 0.0308826i
\(163\) −9.35275 + 19.4212i −0.732564 + 1.52119i 0.116671 + 0.993171i \(0.462778\pi\)
−0.849235 + 0.528014i \(0.822937\pi\)
\(164\) −10.6182 16.8126i −0.829143 1.31284i
\(165\) 8.11172 0.631496
\(166\) 7.94698 + 5.62492i 0.616805 + 0.436578i
\(167\) 2.35952 + 10.3377i 0.182585 + 0.799959i 0.980394 + 0.197048i \(0.0631354\pi\)
−0.797809 + 0.602911i \(0.794007\pi\)
\(168\) −7.45860 0.607652i −0.575444 0.0468813i
\(169\) −2.11586 + 9.27018i −0.162758 + 0.713091i
\(170\) 3.20504 2.87085i 0.245815 0.220184i
\(171\) −3.17235 + 3.97800i −0.242595 + 0.304205i
\(172\) −8.34001 + 24.0119i −0.635920 + 1.83089i
\(173\) 23.2084 + 5.29716i 1.76450 + 0.402735i 0.976942 0.213506i \(-0.0684883\pi\)
0.787557 + 0.616242i \(0.211345\pi\)
\(174\) 2.75407 2.46690i 0.208785 0.187016i
\(175\) 0.446556 + 2.25204i 0.0337564 + 0.170238i
\(176\) 9.89432 12.5252i 0.745813 0.944119i
\(177\) −5.16288 −0.388066
\(178\) 7.23878 10.2271i 0.542569 0.766551i
\(179\) 23.1918 5.29338i 1.73344 0.395646i 0.764828 0.644235i \(-0.222824\pi\)
0.968609 + 0.248589i \(0.0799669\pi\)
\(180\) 4.04106 + 0.445883i 0.301202 + 0.0332342i
\(181\) −0.658981 0.525519i −0.0489816 0.0390616i 0.598693 0.800979i \(-0.295687\pi\)
−0.647675 + 0.761917i \(0.724258\pi\)
\(182\) −6.98855 + 0.199951i −0.518026 + 0.0148213i
\(183\) 4.26897 3.40439i 0.315571 0.251660i
\(184\) 0.913957 17.3461i 0.0673778 1.27877i
\(185\) −10.6258 + 8.47381i −0.781226 + 0.623007i
\(186\) −4.91995 8.87779i −0.360748 0.650951i
\(187\) 3.72386 4.66957i 0.272315 0.341473i
\(188\) 14.3026 + 14.2368i 1.04313 + 1.03833i
\(189\) −1.58967 2.11494i −0.115631 0.153839i
\(190\) −12.7938 + 7.09017i −0.928162 + 0.514375i
\(191\) 4.48933 + 9.32218i 0.324836 + 0.674529i 0.997881 0.0650728i \(-0.0207280\pi\)
−0.673044 + 0.739602i \(0.735014\pi\)
\(192\) 5.61758 5.69585i 0.405414 0.411063i
\(193\) −15.7490 + 7.58431i −1.13364 + 0.545930i −0.904079 0.427365i \(-0.859442\pi\)
−0.229557 + 0.973295i \(0.573728\pi\)
\(194\) 20.1463 1.15469i 1.44642 0.0829021i
\(195\) 3.79834 0.272005
\(196\) 3.89058 + 13.4485i 0.277899 + 0.960610i
\(197\) −1.96307 −0.139863 −0.0699315 0.997552i \(-0.522278\pi\)
−0.0699315 + 0.997552i \(0.522278\pi\)
\(198\) 5.63408 0.322920i 0.400397 0.0229490i
\(199\) −17.9159 + 8.62786i −1.27003 + 0.611613i −0.942808 0.333336i \(-0.891826\pi\)
−0.327219 + 0.944948i \(0.606112\pi\)
\(200\) −2.15225 1.17981i −0.152187 0.0834249i
\(201\) 3.32617 + 6.90687i 0.234610 + 0.487173i
\(202\) 9.04092 5.01036i 0.636117 0.352528i
\(203\) −6.14360 3.17853i −0.431196 0.223089i
\(204\) 2.11181 2.12157i 0.147856 0.148540i
\(205\) 12.6013 15.8015i 0.880113 1.10363i
\(206\) −9.73042 17.5580i −0.677951 1.22333i
\(207\) 4.80144 3.82902i 0.333723 0.266135i
\(208\) 4.63305 5.86495i 0.321244 0.406661i
\(209\) −15.8739 + 12.6590i −1.09802 + 0.875644i
\(210\) −1.90388 7.36387i −0.131380 0.508155i
\(211\) −11.7062 9.33540i −0.805889 0.642675i 0.131360 0.991335i \(-0.458066\pi\)
−0.937249 + 0.348659i \(0.886637\pi\)
\(212\) 0.0262741 0.238123i 0.00180451 0.0163544i
\(213\) −10.2617 + 2.34216i −0.703119 + 0.160482i
\(214\) 2.54818 3.60011i 0.174190 0.246098i
\(215\) −25.8357 −1.76198
\(216\) 2.82451 + 0.148822i 0.192184 + 0.0101261i
\(217\) −12.2597 + 14.5008i −0.832244 + 0.984377i
\(218\) −15.0157 + 13.4500i −1.01699 + 0.910951i
\(219\) 0.213144 + 0.0486487i 0.0144029 + 0.00328737i
\(220\) 15.3253 + 5.32294i 1.03323 + 0.358872i
\(221\) 1.74371 2.18654i 0.117294 0.147083i
\(222\) −7.04295 + 6.30858i −0.472692 + 0.423404i
\(223\) −3.69444 + 16.1864i −0.247398 + 1.08392i 0.686710 + 0.726932i \(0.259054\pi\)
−0.934108 + 0.356991i \(0.883803\pi\)
\(224\) −13.6927 6.04239i −0.914881 0.403724i
\(225\) −0.193096 0.846008i −0.0128731 0.0564005i
\(226\) 11.2336 + 7.95120i 0.747247 + 0.528906i
\(227\) −7.38162 −0.489935 −0.244968 0.969531i \(-0.578777\pi\)
−0.244968 + 0.969531i \(0.578777\pi\)
\(228\) −8.60384 + 5.43386i −0.569803 + 0.359866i
\(229\) 9.22294 19.1516i 0.609469 1.26557i −0.336612 0.941644i \(-0.609281\pi\)
0.946081 0.323931i \(-0.105005\pi\)
\(230\) 16.9593 4.90707i 1.11826 0.323563i
\(231\) −4.30645 9.63948i −0.283344 0.634231i
\(232\) 6.82201 2.85346i 0.447887 0.187339i
\(233\) −5.46681 23.9517i −0.358143 1.56913i −0.757816 0.652468i \(-0.773733\pi\)
0.399673 0.916658i \(-0.369124\pi\)
\(234\) 2.63818 0.151208i 0.172463 0.00988481i
\(235\) −8.89955 + 18.4801i −0.580543 + 1.20551i
\(236\) −9.75415 3.38790i −0.634941 0.220533i
\(237\) −1.05842 2.19784i −0.0687521 0.142765i
\(238\) −5.11308 2.28456i −0.331432 0.148086i
\(239\) −8.03789 + 16.6909i −0.519928 + 1.07964i 0.461381 + 0.887202i \(0.347354\pi\)
−0.981309 + 0.192439i \(0.938360\pi\)
\(240\) 7.34212 + 3.49415i 0.473932 + 0.225547i
\(241\) 12.7401 + 2.90785i 0.820663 + 0.187311i 0.612183 0.790716i \(-0.290291\pi\)
0.208480 + 0.978027i \(0.433149\pi\)
\(242\) 6.86595 + 1.15843i 0.441360 + 0.0744666i
\(243\) 0.623490 + 0.781831i 0.0399969 + 0.0501545i
\(244\) 10.2993 3.63055i 0.659344 0.232422i
\(245\) −11.6149 + 8.22030i −0.742050 + 0.525176i
\(246\) 8.12333 11.4768i 0.517924 0.731732i
\(247\) −7.43302 + 5.92764i −0.472952 + 0.377166i
\(248\) −3.46956 20.0012i −0.220317 1.27007i
\(249\) −1.53196 + 6.71194i −0.0970838 + 0.425352i
\(250\) 2.80643 16.6336i 0.177494 1.05200i
\(251\) 4.40925 + 2.12338i 0.278310 + 0.134027i 0.567832 0.823144i \(-0.307782\pi\)
−0.289523 + 0.957171i \(0.593497\pi\)
\(252\) −1.61551 5.03886i −0.101767 0.317419i
\(253\) 22.0795 10.6329i 1.38812 0.668486i
\(254\) 2.52267 + 8.71857i 0.158286 + 0.547052i
\(255\) 2.74123 + 1.32011i 0.171663 + 0.0826683i
\(256\) 14.3509 7.07481i 0.896928 0.442176i
\(257\) 6.18147 1.41088i 0.385590 0.0880083i −0.0253318 0.999679i \(-0.508064\pi\)
0.410921 + 0.911671i \(0.365207\pi\)
\(258\) −17.9445 + 1.02850i −1.11718 + 0.0640315i
\(259\) 15.7109 + 8.12840i 0.976230 + 0.505074i
\(260\) 7.17614 + 2.49248i 0.445045 + 0.154577i
\(261\) 2.35552 + 1.13436i 0.145803 + 0.0702151i
\(262\) 1.83873 4.45361i 0.113597 0.275145i
\(263\) 3.56408i 0.219771i −0.993944 0.109885i \(-0.964952\pi\)
0.993944 0.109885i \(-0.0350484\pi\)
\(264\) 10.8563 + 3.08701i 0.668158 + 0.189993i
\(265\) 0.237391 0.0541830i 0.0145828 0.00332843i
\(266\) 15.2177 + 11.4393i 0.933056 + 0.701388i
\(267\) 8.63769 + 1.97150i 0.528618 + 0.120654i
\(268\) 1.75178 + 15.2317i 0.107007 + 0.930423i
\(269\) 6.14404 + 4.89971i 0.374609 + 0.298741i 0.792637 0.609693i \(-0.208707\pi\)
−0.418029 + 0.908434i \(0.637279\pi\)
\(270\) 0.799031 + 2.76152i 0.0486275 + 0.168061i
\(271\) −1.00264 + 4.39285i −0.0609060 + 0.266847i −0.996208 0.0870039i \(-0.972271\pi\)
0.935302 + 0.353851i \(0.115128\pi\)
\(272\) 5.38199 2.62248i 0.326331 0.159011i
\(273\) −2.01651 4.51372i −0.122045 0.273182i
\(274\) −3.81174 + 9.23245i −0.230276 + 0.557752i
\(275\) 3.46276i 0.208812i
\(276\) 11.5839 4.08339i 0.697269 0.245791i
\(277\) 5.34188 + 23.4043i 0.320962 + 1.40623i 0.835844 + 0.548967i \(0.184979\pi\)
−0.514882 + 0.857261i \(0.672164\pi\)
\(278\) 7.54554 + 13.6155i 0.452552 + 0.816605i
\(279\) 4.47484 5.61127i 0.267902 0.335938i
\(280\) 1.23523 15.1618i 0.0738190 0.906089i
\(281\) 10.3265 + 12.9490i 0.616027 + 0.772473i 0.987779 0.155859i \(-0.0498145\pi\)
−0.371753 + 0.928332i \(0.621243\pi\)
\(282\) −5.44560 + 13.1898i −0.324281 + 0.785443i
\(283\) −8.15166 10.2219i −0.484566 0.607627i 0.478104 0.878303i \(-0.341324\pi\)
−0.962670 + 0.270676i \(0.912753\pi\)
\(284\) −20.9242 2.30874i −1.24162 0.136998i
\(285\) −8.08643 6.44871i −0.478999 0.381989i
\(286\) 10.3978 + 1.75432i 0.614835 + 0.103735i
\(287\) −25.4675 6.58571i −1.50330 0.388742i
\(288\) 5.23865 + 2.13462i 0.308690 + 0.125784i
\(289\) −13.2981 + 6.40404i −0.782242 + 0.376708i
\(290\) 5.01470 + 5.59845i 0.294473 + 0.328752i
\(291\) 6.19106 + 12.8559i 0.362926 + 0.753624i
\(292\) 0.370766 + 0.231777i 0.0216974 + 0.0135637i
\(293\) 7.11193i 0.415483i 0.978184 + 0.207742i \(0.0666113\pi\)
−0.978184 + 0.207742i \(0.933389\pi\)
\(294\) −7.74002 + 6.17188i −0.451407 + 0.359951i
\(295\) 10.4950i 0.611045i
\(296\) −17.4458 + 7.29711i −1.01402 + 0.424136i
\(297\) 1.73139 + 3.59526i 0.100465 + 0.208618i
\(298\) 5.05145 4.52474i 0.292623 0.262111i
\(299\) 10.3388 4.97890i 0.597907 0.287937i
\(300\) 0.190340 1.72506i 0.0109893 0.0995964i
\(301\) 13.7160 + 30.7016i 0.790578 + 1.76961i
\(302\) 2.00730 11.8972i 0.115507 0.684606i
\(303\) 5.71438 + 4.55707i 0.328283 + 0.261797i
\(304\) −19.8208 + 4.62025i −1.13680 + 0.264990i
\(305\) 6.92041 + 8.67792i 0.396262 + 0.496896i
\(306\) 1.95650 + 0.807769i 0.111846 + 0.0461771i
\(307\) −10.9157 13.6879i −0.622993 0.781209i 0.365769 0.930706i \(-0.380806\pi\)
−0.988762 + 0.149497i \(0.952235\pi\)
\(308\) −1.81066 21.0376i −0.103172 1.19873i
\(309\) 8.85010 11.0977i 0.503465 0.631325i
\(310\) 18.0467 10.0012i 1.02498 0.568032i
\(311\) 6.83003 + 29.9243i 0.387296 + 1.69685i 0.673915 + 0.738809i \(0.264611\pi\)
−0.286620 + 0.958044i \(0.592532\pi\)
\(312\) 5.08349 + 1.44550i 0.287796 + 0.0818355i
\(313\) 12.2847i 0.694370i −0.937797 0.347185i \(-0.887138\pi\)
0.937797 0.347185i \(-0.112862\pi\)
\(314\) 2.33082 + 0.962311i 0.131536 + 0.0543064i
\(315\) 4.29922 3.23146i 0.242234 0.182072i
\(316\) −0.557435 4.84689i −0.0313582 0.272659i
\(317\) −6.40582 + 28.0658i −0.359787 + 1.57633i 0.393936 + 0.919138i \(0.371113\pi\)
−0.753723 + 0.657192i \(0.771744\pi\)
\(318\) 0.162726 0.0470837i 0.00912520 0.00264032i
\(319\) 8.15663 + 6.50470i 0.456684 + 0.364193i
\(320\) 11.5785 + 11.4194i 0.647256 + 0.638362i
\(321\) 3.04062 + 0.694001i 0.169711 + 0.0387354i
\(322\) −14.8348 17.5483i −0.826713 0.977926i
\(323\) −7.42450 + 1.69459i −0.413110 + 0.0942897i
\(324\) 0.664910 + 1.88624i 0.0369394 + 0.104791i
\(325\) 1.62145i 0.0899418i
\(326\) −28.1776 11.6335i −1.56061 0.644319i
\(327\) −12.8427 6.18474i −0.710206 0.342017i
\(328\) 22.8784 16.3523i 1.26325 0.902907i
\(329\) 26.6853 + 0.764732i 1.47121 + 0.0421610i
\(330\) 0.656429 + 11.4529i 0.0361352 + 0.630462i
\(331\) −12.0360 + 2.74713i −0.661556 + 0.150996i −0.540100 0.841601i \(-0.681614\pi\)
−0.121456 + 0.992597i \(0.538756\pi\)
\(332\) −7.29870 + 11.6755i −0.400568 + 0.640776i
\(333\) −6.02375 2.90088i −0.330099 0.158967i
\(334\) −14.4049 + 4.16797i −0.788200 + 0.228061i
\(335\) −14.0402 + 6.76141i −0.767099 + 0.369415i
\(336\) 0.254364 10.5799i 0.0138767 0.577183i
\(337\) 1.66810 + 0.803315i 0.0908673 + 0.0437594i 0.478765 0.877943i \(-0.341084\pi\)
−0.387898 + 0.921702i \(0.626799\pi\)
\(338\) −13.2598 2.23720i −0.721236 0.121687i
\(339\) −2.16552 + 9.48778i −0.117615 + 0.515306i
\(340\) 4.31271 + 4.29286i 0.233889 + 0.232813i
\(341\) 22.3914 17.8566i 1.21256 0.966987i
\(342\) −5.87323 4.15711i −0.317588 0.224791i
\(343\) 15.9348 + 9.43837i 0.860397 + 0.509624i
\(344\) −34.5772 9.83211i −1.86428 0.530112i
\(345\) 7.78360 + 9.76032i 0.419055 + 0.525478i
\(346\) −5.60093 + 33.1965i −0.301108 + 1.78465i
\(347\) 6.78072 + 1.54766i 0.364008 + 0.0830825i 0.400613 0.916247i \(-0.368797\pi\)
−0.0366048 + 0.999330i \(0.511654\pi\)
\(348\) 3.70588 + 3.68883i 0.198656 + 0.197742i
\(349\) −6.72576 + 13.9662i −0.360022 + 0.747593i −0.999780 0.0209836i \(-0.993320\pi\)
0.639758 + 0.768576i \(0.279035\pi\)
\(350\) −3.14351 + 0.812734i −0.168028 + 0.0434424i
\(351\) 0.810727 + 1.68349i 0.0432734 + 0.0898581i
\(352\) 18.4849 + 12.9562i 0.985249 + 0.690567i
\(353\) 5.21745 10.8342i 0.277697 0.576644i −0.714741 0.699389i \(-0.753456\pi\)
0.992438 + 0.122745i \(0.0391698\pi\)
\(354\) −0.417799 7.28945i −0.0222057 0.387430i
\(355\) −4.76112 20.8598i −0.252694 1.10713i
\(356\) 15.0254 + 9.39279i 0.796342 + 0.497817i
\(357\) 0.113436 3.95835i 0.00600366 0.209498i
\(358\) 9.35047 + 32.3161i 0.494187 + 1.70796i
\(359\) −10.3283 + 21.4469i −0.545105 + 1.13192i 0.428470 + 0.903556i \(0.359053\pi\)
−0.973575 + 0.228366i \(0.926662\pi\)
\(360\) −0.302524 + 5.74163i −0.0159444 + 0.302611i
\(361\) 6.88822 0.362538
\(362\) 0.688652 0.972939i 0.0361947 0.0511365i
\(363\) 1.09560 + 4.80014i 0.0575041 + 0.251942i
\(364\) −0.847848 9.85093i −0.0444393 0.516329i
\(365\) −0.0988925 + 0.433277i −0.00517627 + 0.0226787i
\(366\) 5.15211 + 5.75185i 0.269305 + 0.300654i
\(367\) 13.5016 16.9305i 0.704779 0.883765i −0.292592 0.956238i \(-0.594518\pi\)
0.997370 + 0.0724728i \(0.0230890\pi\)
\(368\) 24.5648 0.113295i 1.28053 0.00590593i
\(369\) 9.69318 + 2.21240i 0.504607 + 0.115173i
\(370\) −12.8240 14.3168i −0.666689 0.744297i
\(371\) −0.190417 0.253336i −0.00988596 0.0131525i
\(372\) 12.1364 7.66488i 0.629242 0.397406i
\(373\) 12.5704 0.650868 0.325434 0.945565i \(-0.394490\pi\)
0.325434 + 0.945565i \(0.394490\pi\)
\(374\) 6.89430 + 4.87982i 0.356496 + 0.252330i
\(375\) 11.6289 2.65421i 0.600513 0.137063i
\(376\) −18.9435 + 21.3459i −0.976937 + 1.10083i
\(377\) 3.81937 + 3.04585i 0.196708 + 0.156869i
\(378\) 2.85743 2.41559i 0.146970 0.124245i
\(379\) 7.72721 6.16224i 0.396920 0.316533i −0.404608 0.914490i \(-0.632592\pi\)
0.801528 + 0.597957i \(0.204021\pi\)
\(380\) −11.0459 17.4898i −0.566643 0.897208i
\(381\) −5.01767 + 4.00146i −0.257063 + 0.205001i
\(382\) −12.7987 + 7.09285i −0.654837 + 0.362902i
\(383\) −0.939167 + 1.17768i −0.0479892 + 0.0601765i −0.805247 0.592940i \(-0.797967\pi\)
0.757258 + 0.653116i \(0.226539\pi\)
\(384\) 8.49655 + 7.47052i 0.433588 + 0.381228i
\(385\) 19.5950 8.75412i 0.998655 0.446151i
\(386\) −11.9827 21.6222i −0.609904 1.10054i
\(387\) −5.51444 11.4509i −0.280315 0.582080i
\(388\) 3.26061 + 28.3510i 0.165533 + 1.43930i
\(389\) 15.6260 7.52506i 0.792267 0.381536i 0.00643809 0.999979i \(-0.497951\pi\)
0.785829 + 0.618443i \(0.212236\pi\)
\(390\) 0.307375 + 5.36286i 0.0155645 + 0.271559i
\(391\) 9.19183 0.464851
\(392\) −18.6731 + 6.58141i −0.943135 + 0.332411i
\(393\) 3.40702 0.171862
\(394\) −0.158859 2.77165i −0.00800319 0.139634i
\(395\) 4.46775 2.15155i 0.224797 0.108256i
\(396\) 0.911860 + 7.92861i 0.0458227 + 0.398428i
\(397\) −13.9977 29.0665i −0.702524 1.45881i −0.880144 0.474707i \(-0.842554\pi\)
0.177620 0.984099i \(-0.443160\pi\)
\(398\) −13.6315 24.5973i −0.683284 1.23295i
\(399\) −3.37023 + 13.0330i −0.168723 + 0.652466i
\(400\) 1.49160 3.13423i 0.0745798 0.156711i
\(401\) 20.4847 25.6870i 1.02296 1.28275i 0.0643754 0.997926i \(-0.479494\pi\)
0.958581 0.284821i \(-0.0919341\pi\)
\(402\) −9.48262 + 5.25514i −0.472950 + 0.262103i
\(403\) 10.4848 8.36139i 0.522287 0.416510i
\(404\) 7.80573 + 12.3594i 0.388350 + 0.614903i
\(405\) −1.58930 + 1.26742i −0.0789729 + 0.0629788i
\(406\) 3.99059 8.93134i 0.198049 0.443255i
\(407\) −20.8589 16.6344i −1.03394 0.824536i
\(408\) 3.16633 + 2.80997i 0.156757 + 0.139114i
\(409\) −19.6670 + 4.48887i −0.972472 + 0.221960i −0.679106 0.734040i \(-0.737633\pi\)
−0.293366 + 0.956000i \(0.594775\pi\)
\(410\) 23.3299 + 16.5130i 1.15218 + 0.815520i
\(411\) −7.06284 −0.348384
\(412\) 24.0027 15.1592i 1.18253 0.746841i
\(413\) −12.4717 + 5.57175i −0.613691 + 0.274168i
\(414\) 5.79473 + 6.46928i 0.284796 + 0.317948i
\(415\) −13.6440 3.11415i −0.669756 0.152867i
\(416\) 8.65562 + 6.06677i 0.424377 + 0.297448i
\(417\) −6.86289 + 8.60579i −0.336077 + 0.421427i
\(418\) −19.1578 21.3879i −0.937040 1.04612i
\(419\) −4.54257 + 19.9023i −0.221919 + 0.972291i 0.734112 + 0.679028i \(0.237598\pi\)
−0.956032 + 0.293264i \(0.905259\pi\)
\(420\) 10.2429 3.28399i 0.499805 0.160242i
\(421\) −6.56481 28.7623i −0.319949 1.40179i −0.837640 0.546222i \(-0.816066\pi\)
0.517691 0.855568i \(-0.326792\pi\)
\(422\) 12.2333 17.2834i 0.595508 0.841344i
\(423\) −10.0903 −0.490605
\(424\) 0.338332 + 0.0178265i 0.0164308 + 0.000865732i
\(425\) 0.563532 1.17019i 0.0273353 0.0567624i
\(426\) −4.13730 14.2989i −0.200453 0.692784i
\(427\) 6.63832 12.8308i 0.321251 0.620928i
\(428\) 5.28919 + 3.30643i 0.255662 + 0.159822i
\(429\) 1.65918 + 7.26932i 0.0801057 + 0.350966i
\(430\) −2.09072 36.4774i −0.100823 1.75910i
\(431\) 3.08962 6.41567i 0.148822 0.309032i −0.813209 0.581971i \(-0.802282\pi\)
0.962031 + 0.272939i \(0.0879958\pi\)
\(432\) 0.0184482 + 3.99996i 0.000887589 + 0.192448i
\(433\) −5.94580 12.3466i −0.285737 0.593339i 0.707856 0.706357i \(-0.249662\pi\)
−0.993593 + 0.113018i \(0.963948\pi\)
\(434\) −21.4657 16.1360i −1.03039 0.774553i
\(435\) −2.30592 + 4.78828i −0.110560 + 0.229581i
\(436\) −20.2052 20.1122i −0.967652 0.963199i
\(437\) −30.4637 6.95313i −1.45727 0.332613i
\(438\) −0.0514385 + 0.304874i −0.00245783 + 0.0145674i
\(439\) 1.63197 + 2.04643i 0.0778898 + 0.0976707i 0.819250 0.573437i \(-0.194390\pi\)
−0.741360 + 0.671108i \(0.765819\pi\)
\(440\) −6.27525 + 22.0686i −0.299161 + 1.05208i
\(441\) −6.12250 3.39338i −0.291548 0.161589i
\(442\) 3.22828 + 2.28499i 0.153553 + 0.108686i
\(443\) 7.73835 6.17113i 0.367660 0.293199i −0.422180 0.906512i \(-0.638735\pi\)
0.789840 + 0.613313i \(0.210164\pi\)
\(444\) −9.47701 9.43340i −0.449759 0.447689i
\(445\) −4.00764 + 17.5586i −0.189980 + 0.832358i
\(446\) −23.1525 3.90631i −1.09630 0.184969i
\(447\) 4.32044 + 2.08062i 0.204350 + 0.0984098i
\(448\) 7.42316 19.8216i 0.350711 0.936484i
\(449\) −3.28488 + 1.58191i −0.155023 + 0.0746551i −0.509787 0.860301i \(-0.670276\pi\)
0.354764 + 0.934956i \(0.384561\pi\)
\(450\) 1.17885 0.341093i 0.0555715 0.0160793i
\(451\) 35.7457 + 17.2142i 1.68320 + 0.810586i
\(452\) −10.3172 + 16.5041i −0.485281 + 0.776288i
\(453\) 8.31757 1.89843i 0.390794 0.0891961i
\(454\) −0.597347 10.4221i −0.0280349 0.489133i
\(455\) 9.17544 4.09914i 0.430151 0.192171i
\(456\) −8.36831 11.7080i −0.391882 0.548277i
\(457\) 11.0064 + 5.30039i 0.514857 + 0.247942i 0.673224 0.739438i \(-0.264909\pi\)
−0.158368 + 0.987380i \(0.550623\pi\)
\(458\) 27.7865 + 11.4720i 1.29838 + 0.536052i
\(459\) 1.49673i 0.0698614i
\(460\) 8.30068 + 23.5477i 0.387021 + 1.09792i
\(461\) −6.45982 + 1.47441i −0.300864 + 0.0686702i −0.370288 0.928917i \(-0.620741\pi\)
0.0694242 + 0.997587i \(0.477884\pi\)
\(462\) 13.2614 6.86033i 0.616978 0.319171i
\(463\) −4.20716 0.960257i −0.195523 0.0446269i 0.123638 0.992327i \(-0.460544\pi\)
−0.319161 + 0.947700i \(0.603401\pi\)
\(464\) 4.58085 + 9.40106i 0.212660 + 0.436433i
\(465\) 11.4065 + 9.09640i 0.528965 + 0.421836i
\(466\) 33.3749 9.65683i 1.54606 0.447344i
\(467\) −2.43193 + 10.6550i −0.112536 + 0.493054i 0.886976 + 0.461816i \(0.152802\pi\)
−0.999512 + 0.0312379i \(0.990055\pi\)
\(468\) 0.426981 + 3.71260i 0.0197372 + 0.171615i
\(469\) 15.4887 + 13.0950i 0.715202 + 0.604669i
\(470\) −26.8122 11.0698i −1.23675 0.510610i
\(471\) 1.78308i 0.0821602i
\(472\) 3.99402 14.0460i 0.183840 0.646520i
\(473\) −11.2855 49.4449i −0.518906 2.27348i
\(474\) 3.01747 1.67224i 0.138597 0.0768087i
\(475\) −2.75285 + 3.45196i −0.126309 + 0.158387i
\(476\) 2.81179 7.40401i 0.128878 0.339362i
\(477\) 0.0746842 + 0.0936510i 0.00341956 + 0.00428799i
\(478\) −24.2162 9.99798i −1.10762 0.457297i
\(479\) 5.37748 + 6.74315i 0.245703 + 0.308102i 0.889356 0.457216i \(-0.151153\pi\)
−0.643653 + 0.765318i \(0.722582\pi\)
\(480\) −4.33923 + 10.6491i −0.198058 + 0.486061i
\(481\) −9.76722 7.78910i −0.445347 0.355152i
\(482\) −3.07460 + 18.2230i −0.140044 + 0.830037i
\(483\) 7.46632 14.4312i 0.339729 0.656644i
\(484\) −1.07996 + 9.78776i −0.0490893 + 0.444898i
\(485\) −26.1333 + 12.5851i −1.18665 + 0.571461i
\(486\) −1.05341 + 0.943572i −0.0477836 + 0.0428013i
\(487\) −11.1495 23.1522i −0.505233 1.04913i −0.985131 0.171803i \(-0.945041\pi\)
0.479899 0.877324i \(-0.340673\pi\)
\(488\) 5.95942 + 14.2477i 0.269770 + 0.644964i
\(489\) 21.5559i 0.974791i
\(490\) −12.5461 15.7338i −0.566776 0.710782i
\(491\) 38.0587i 1.71756i −0.512341 0.858782i \(-0.671222\pi\)
0.512341 0.858782i \(-0.328778\pi\)
\(492\) 16.8614 + 10.5406i 0.760170 + 0.475205i
\(493\) 1.69783 + 3.52558i 0.0764664 + 0.158784i
\(494\) −8.97071 10.0150i −0.403612 0.450595i
\(495\) −7.30841 + 3.51954i −0.328488 + 0.158192i
\(496\) 27.9588 6.51722i 1.25539 0.292632i
\(497\) −22.2609 + 16.7322i −0.998540 + 0.750541i
\(498\) −9.60054 1.61981i −0.430210 0.0725854i
\(499\) −11.0300 8.79609i −0.493768 0.393767i 0.344704 0.938712i \(-0.387979\pi\)
−0.838472 + 0.544944i \(0.816551\pi\)
\(500\) 23.7120 + 2.61634i 1.06043 + 0.117006i
\(501\) −6.61123 8.29023i −0.295368 0.370380i
\(502\) −2.64119 + 6.39724i −0.117882 + 0.285523i
\(503\) −9.13636 11.4566i −0.407370 0.510826i 0.535250 0.844694i \(-0.320217\pi\)
−0.942620 + 0.333868i \(0.891646\pi\)
\(504\) 6.98362 2.68869i 0.311075 0.119764i
\(505\) −9.26356 + 11.6161i −0.412223 + 0.516911i
\(506\) 16.7993 + 30.3135i 0.746821 + 1.34760i
\(507\) −2.11586 9.27018i −0.0939686 0.411703i
\(508\) −12.1056 + 4.26729i −0.537098 + 0.189330i
\(509\) 26.9727i 1.19554i 0.801666 + 0.597772i \(0.203947\pi\)
−0.801666 + 0.597772i \(0.796053\pi\)
\(510\) −1.64202 + 3.97716i −0.0727101 + 0.176112i
\(511\) 0.567381 0.112505i 0.0250995 0.00497695i
\(512\) 11.1502 + 19.6894i 0.492775 + 0.870157i
\(513\) 1.13220 4.96048i 0.0499877 0.219010i
\(514\) 2.49224 + 8.61342i 0.109928 + 0.379922i
\(515\) 22.5592 + 17.9904i 0.994079 + 0.792752i
\(516\) −2.90427 25.2525i −0.127853 1.11168i
\(517\) −39.2550 8.95970i −1.72643 0.394047i
\(518\) −10.2051 + 22.8400i −0.448385 + 1.00353i
\(519\) −23.2084 + 5.29716i −1.01873 + 0.232519i
\(520\) −2.93841 + 10.3337i −0.128858 + 0.453161i
\(521\) 39.4201i 1.72703i −0.504325 0.863514i \(-0.668259\pi\)
0.504325 0.863514i \(-0.331741\pi\)
\(522\) −1.41098 + 3.41755i −0.0617570 + 0.149582i
\(523\) 38.0371 + 18.3177i 1.66325 + 0.800977i 0.998548 + 0.0538657i \(0.0171543\pi\)
0.664699 + 0.747112i \(0.268560\pi\)
\(524\) 6.43683 + 2.23570i 0.281194 + 0.0976669i
\(525\) −1.37946 1.83527i −0.0602045 0.0800976i
\(526\) 5.03211 0.288418i 0.219411 0.0125756i
\(527\) 10.4728 2.39035i 0.456203 0.104125i
\(528\) −3.48001 + 15.5778i −0.151448 + 0.677935i
\(529\) 13.2580 + 6.38471i 0.576434 + 0.277596i
\(530\) 0.0957113 + 0.330787i 0.00415743 + 0.0143685i
\(531\) 4.65159 2.24009i 0.201862 0.0972116i
\(532\) −14.9196 + 22.4115i −0.646848 + 0.971661i
\(533\) 16.7380 + 8.06061i 0.725005 + 0.349144i
\(534\) −2.08456 + 12.3551i −0.0902075 + 0.534656i
\(535\) −1.41076 + 6.18094i −0.0609924 + 0.267225i
\(536\) −21.3638 + 3.70593i −0.922776 + 0.160072i
\(537\) −18.5984 + 14.8317i −0.802579 + 0.640036i
\(538\) −6.42068 + 9.07125i −0.276815 + 0.391089i
\(539\) −20.8057 18.6381i −0.896166 0.802798i
\(540\) −3.83433 + 1.35162i −0.165003 + 0.0581645i
\(541\) −16.4108 20.5785i −0.705555 0.884738i 0.291870 0.956458i \(-0.405723\pi\)
−0.997425 + 0.0717198i \(0.977151\pi\)
\(542\) −6.28339 1.06014i −0.269895 0.0455368i
\(543\) 0.821735 + 0.187556i 0.0352640 + 0.00804879i
\(544\) 4.13819 + 7.38659i 0.177424 + 0.316697i
\(545\) 12.5723 26.1066i 0.538537 1.11828i
\(546\) 6.20972 3.21237i 0.265751 0.137477i
\(547\) 1.66177 + 3.45070i 0.0710521 + 0.147541i 0.933470 0.358656i \(-0.116765\pi\)
−0.862418 + 0.506197i \(0.831051\pi\)
\(548\) −13.3437 4.63466i −0.570015 0.197983i
\(549\) −2.36910 + 4.91949i −0.101111 + 0.209959i
\(550\) 4.88906 0.280219i 0.208470 0.0119486i
\(551\) −2.96005 12.9688i −0.126102 0.552491i
\(552\) 6.70274 + 16.0248i 0.285288 + 0.682062i
\(553\) −4.92867 4.16696i −0.209589 0.177197i
\(554\) −32.6122 + 9.43614i −1.38556 + 0.400903i
\(555\) 5.89689 12.2450i 0.250309 0.519772i
\(556\) −18.6131 + 11.7553i −0.789371 + 0.498538i
\(557\) 23.9590 1.01518 0.507589 0.861600i \(-0.330537\pi\)
0.507589 + 0.861600i \(0.330537\pi\)
\(558\) 8.28465 + 5.86392i 0.350717 + 0.248240i
\(559\) −5.28446 23.1527i −0.223509 0.979256i
\(560\) 21.5068 + 0.517069i 0.908829 + 0.0218502i
\(561\) −1.32903 + 5.82286i −0.0561117 + 0.245841i
\(562\) −17.4470 + 15.6278i −0.735957 + 0.659219i
\(563\) −17.1249 + 21.4739i −0.721728 + 0.905019i −0.998434 0.0559359i \(-0.982186\pi\)
0.276706 + 0.960955i \(0.410757\pi\)
\(564\) −19.0634 6.62126i −0.802712 0.278805i
\(565\) −19.2867 4.40206i −0.811396 0.185196i
\(566\) 13.7725 12.3365i 0.578903 0.518542i
\(567\) 2.34988 + 1.21576i 0.0986856 + 0.0510572i
\(568\) 1.56644 29.7296i 0.0657263 1.24743i
\(569\) −20.9060 −0.876424 −0.438212 0.898872i \(-0.644388\pi\)
−0.438212 + 0.898872i \(0.644388\pi\)
\(570\) 8.45053 11.9391i 0.353954 0.500072i
\(571\) 31.9756 7.29823i 1.33814 0.305421i 0.507220 0.861817i \(-0.330673\pi\)
0.830918 + 0.556395i \(0.187816\pi\)
\(572\) −1.63550 + 14.8226i −0.0683836 + 0.619763i
\(573\) −8.08949 6.45115i −0.337943 0.269501i
\(574\) 7.23741 36.4905i 0.302084 1.52308i
\(575\) 4.16652 3.32269i 0.173756 0.138566i
\(576\) −2.58993 + 7.56917i −0.107914 + 0.315382i
\(577\) −27.4119 + 21.8602i −1.14117 + 0.910053i −0.996837 0.0794760i \(-0.974675\pi\)
−0.144334 + 0.989529i \(0.546104\pi\)
\(578\) −10.1180 18.2573i −0.420852 0.759405i
\(579\) 10.8986 13.6665i 0.452932 0.567958i
\(580\) −7.49862 + 7.53328i −0.311363 + 0.312802i
\(581\) 3.54282 + 17.8669i 0.146981 + 0.741246i
\(582\) −17.6501 + 9.78148i −0.731622 + 0.405455i
\(583\) 0.207393 + 0.430655i 0.00858932 + 0.0178359i
\(584\) −0.297241 + 0.542239i −0.0122999 + 0.0224380i
\(585\) −3.42218 + 1.64804i −0.141490 + 0.0681379i
\(586\) −10.0413 + 0.575523i −0.414803 + 0.0237746i
\(587\) 25.3805 1.04756 0.523782 0.851852i \(-0.324521\pi\)
0.523782 + 0.851852i \(0.324521\pi\)
\(588\) −9.34040 10.4287i −0.385192 0.430071i
\(589\) −36.5173 −1.50467
\(590\) 14.8179 0.849297i 0.610044 0.0349650i
\(591\) 1.76867 0.851745i 0.0727532 0.0350361i
\(592\) −11.7145 24.0412i −0.481465 0.988088i
\(593\) 6.15741 + 12.7860i 0.252855 + 0.525058i 0.988299 0.152527i \(-0.0487410\pi\)
−0.735445 + 0.677585i \(0.763027\pi\)
\(594\) −4.93602 + 2.73548i −0.202527 + 0.112238i
\(595\) 8.04649 + 0.230591i 0.329874 + 0.00945332i
\(596\) 6.79724 + 6.76596i 0.278426 + 0.277145i
\(597\) 12.3982 15.5469i 0.507425 0.636291i
\(598\) 7.86634 + 14.1944i 0.321678 + 0.580451i
\(599\) −12.9746 + 10.3469i −0.530128 + 0.422763i −0.851628 0.524147i \(-0.824384\pi\)
0.321500 + 0.946909i \(0.395813\pi\)
\(600\) 2.45101 + 0.129142i 0.100062 + 0.00527222i
\(601\) −8.98051 + 7.16171i −0.366322 + 0.292132i −0.789300 0.614008i \(-0.789556\pi\)
0.422978 + 0.906140i \(0.360985\pi\)
\(602\) −42.2376 + 21.8501i −1.72148 + 0.890542i
\(603\) −5.99356 4.77970i −0.244076 0.194644i
\(604\) 16.9600 + 1.87134i 0.690094 + 0.0761437i
\(605\) −9.75767 + 2.22712i −0.396706 + 0.0905455i
\(606\) −5.97168 + 8.43689i −0.242583 + 0.342725i
\(607\) 20.0156 0.812409 0.406205 0.913782i \(-0.366852\pi\)
0.406205 + 0.913782i \(0.366852\pi\)
\(608\) −8.12729 27.6111i −0.329605 1.11978i
\(609\) 6.91430 + 0.198146i 0.280182 + 0.00802927i
\(610\) −11.6923 + 10.4732i −0.473408 + 0.424046i
\(611\) −18.3813 4.19541i −0.743627 0.169728i
\(612\) −0.982159 + 2.82775i −0.0397014 + 0.114305i
\(613\) −30.8347 + 38.6654i −1.24540 + 1.56168i −0.583360 + 0.812214i \(0.698262\pi\)
−0.662040 + 0.749468i \(0.730309\pi\)
\(614\) 18.4425 16.5195i 0.744280 0.666675i
\(615\) −4.49735 + 19.7042i −0.181351 + 0.794550i
\(616\) 29.5564 4.25891i 1.19086 0.171596i
\(617\) 0.0797970 + 0.349614i 0.00321251 + 0.0140749i 0.976509 0.215478i \(-0.0691309\pi\)
−0.973296 + 0.229553i \(0.926274\pi\)
\(618\) 16.3850 + 11.5974i 0.659099 + 0.466514i
\(619\) 4.87903 0.196105 0.0980524 0.995181i \(-0.468739\pi\)
0.0980524 + 0.995181i \(0.468739\pi\)
\(620\) 15.5811 + 24.6707i 0.625752 + 0.990799i
\(621\) −2.66460 + 5.53310i −0.106927 + 0.222036i
\(622\) −41.6973 + 12.0649i −1.67191 + 0.483758i
\(623\) 22.9932 4.55930i 0.921204 0.182665i
\(624\) −1.62953 + 7.29434i −0.0652333 + 0.292007i
\(625\) 4.42998 + 19.4090i 0.177199 + 0.776361i
\(626\) 17.3447 0.994118i 0.693232 0.0397330i
\(627\) 8.80937 18.2928i 0.351812 0.730546i
\(628\) −1.17007 + 3.36875i −0.0466907 + 0.134428i
\(629\) −4.34184 9.01592i −0.173120 0.359488i
\(630\) 4.91040 + 5.80855i 0.195635 + 0.231418i
\(631\) 7.10816 14.7602i 0.282971 0.587596i −0.710235 0.703965i \(-0.751411\pi\)
0.993206 + 0.116369i \(0.0371255\pi\)
\(632\) 6.79820 1.17927i 0.270418 0.0469088i
\(633\) 14.5974 + 3.33176i 0.580195 + 0.132426i
\(634\) −40.1443 6.77318i −1.59433 0.268997i
\(635\) −8.13413 10.1999i −0.322793 0.404770i
\(636\) 0.0796457 + 0.225942i 0.00315816 + 0.00895916i
\(637\) −9.74235 8.72733i −0.386006 0.345789i
\(638\) −8.52390 + 12.0427i −0.337464 + 0.476775i
\(639\) 8.22923 6.56259i 0.325543 0.259612i
\(640\) −15.1860 + 17.2717i −0.600279 + 0.682724i
\(641\) 3.37841 14.8018i 0.133439 0.584636i −0.863353 0.504601i \(-0.831640\pi\)
0.996792 0.0800350i \(-0.0255032\pi\)
\(642\) −0.733800 + 4.34920i −0.0289608 + 0.171649i
\(643\) 2.32224 + 1.11833i 0.0915803 + 0.0441028i 0.479113 0.877753i \(-0.340958\pi\)
−0.387533 + 0.921856i \(0.626673\pi\)
\(644\) 23.5758 22.3653i 0.929018 0.881317i
\(645\) 23.2772 11.2097i 0.916539 0.441382i
\(646\) −2.99341 10.3455i −0.117774 0.407038i
\(647\) −18.6363 8.97476i −0.732668 0.352834i 0.0300651 0.999548i \(-0.490429\pi\)
−0.762733 + 0.646714i \(0.776143\pi\)
\(648\) −2.60937 + 1.09142i −0.102506 + 0.0428752i
\(649\) 20.0856 4.58441i 0.788429 0.179954i
\(650\) 2.28932 0.131213i 0.0897944 0.00514661i
\(651\) 4.75397 18.3840i 0.186323 0.720528i
\(652\) 14.1450 40.7252i 0.553963 1.59492i
\(653\) −39.1849 18.8704i −1.53342 0.738457i −0.538840 0.842408i \(-0.681137\pi\)
−0.994582 + 0.103951i \(0.966852\pi\)
\(654\) 7.69293 18.6331i 0.300818 0.728613i
\(655\) 6.92576i 0.270612i
\(656\) 24.9392 + 30.9786i 0.973713 + 1.20951i
\(657\) −0.213144 + 0.0486487i −0.00831553 + 0.00189797i
\(658\) 1.07975 + 37.7388i 0.0420931 + 1.47121i
\(659\) 21.7213 + 4.95774i 0.846141 + 0.193126i 0.623548 0.781785i \(-0.285691\pi\)
0.222593 + 0.974911i \(0.428548\pi\)
\(660\) −16.1172 + 1.85362i −0.627361 + 0.0721521i
\(661\) 15.2529 + 12.1638i 0.593269 + 0.473116i 0.873505 0.486815i \(-0.161841\pi\)
−0.280236 + 0.959931i \(0.590413\pi\)
\(662\) −4.85265 16.7712i −0.188604 0.651832i
\(663\) −0.622322 + 2.72657i −0.0241690 + 0.105891i
\(664\) −17.0752 9.36019i −0.662647 0.363246i
\(665\) −26.4934 6.85098i −1.02737 0.265669i
\(666\) 3.60828 8.73966i 0.139818 0.338655i
\(667\) 16.0560i 0.621689i
\(668\) −7.05043 20.0009i −0.272789 0.773858i
\(669\) −3.69444 16.1864i −0.142835 0.625803i
\(670\) −10.6826 19.2762i −0.412705 0.744703i
\(671\) −13.5850 + 17.0351i −0.524443 + 0.657631i
\(672\) 14.9584 0.497031i 0.577032 0.0191734i
\(673\) 12.7712 + 16.0146i 0.492293 + 0.617316i 0.964471 0.264187i \(-0.0851036\pi\)
−0.472178 + 0.881503i \(0.656532\pi\)
\(674\) −0.999209 + 2.42019i −0.0384881 + 0.0932224i
\(675\) 0.541042 + 0.678446i 0.0208247 + 0.0261134i
\(676\) 2.08566 18.9024i 0.0802178 0.727017i
\(677\) −22.0079 17.5507i −0.845833 0.674529i 0.101480 0.994838i \(-0.467642\pi\)
−0.947313 + 0.320308i \(0.896214\pi\)
\(678\) −13.5710 2.28971i −0.521191 0.0879358i
\(679\) 28.8294 + 24.3739i 1.10637 + 0.935383i
\(680\) −5.71208 + 6.43649i −0.219048 + 0.246828i
\(681\) 6.65061 3.20276i 0.254852 0.122730i
\(682\) 27.0236 + 30.1693i 1.03479 + 1.15524i
\(683\) −17.3776 36.0850i −0.664936 1.38075i −0.911367 0.411594i \(-0.864972\pi\)
0.246431 0.969160i \(-0.420742\pi\)
\(684\) 5.39412 8.62881i 0.206250 0.329931i
\(685\) 14.3573i 0.548563i
\(686\) −12.0365 + 23.2620i −0.459556 + 0.888149i
\(687\) 21.2567i 0.810994i
\(688\) 11.0838 49.6150i 0.422566 1.89155i
\(689\) 0.0971122 + 0.201656i 0.00369968 + 0.00768247i
\(690\) −13.1507 + 11.7795i −0.500638 + 0.448437i
\(691\) 16.7027 8.04357i 0.635399 0.305992i −0.0883145 0.996093i \(-0.528148\pi\)
0.723713 + 0.690101i \(0.242434\pi\)
\(692\) −47.3232 5.22156i −1.79896 0.198494i
\(693\) 8.06239 + 6.81637i 0.306265 + 0.258932i
\(694\) −1.63641 + 9.69892i −0.0621173 + 0.368166i
\(695\) −17.4938 13.9508i −0.663577 0.529185i
\(696\) −4.90835 + 5.53084i −0.186051 + 0.209646i
\(697\) 9.27825 + 11.6346i 0.351439 + 0.440690i
\(698\) −20.2631 8.36588i −0.766969 0.316653i
\(699\) 15.3177 + 19.2078i 0.579367 + 0.726504i
\(700\) −1.40188 4.37255i −0.0529861 0.165267i
\(701\) −11.5427 + 14.4741i −0.435962 + 0.546679i −0.950474 0.310804i \(-0.899402\pi\)
0.514512 + 0.857483i \(0.327973\pi\)
\(702\) −2.31131 + 1.28090i −0.0872347 + 0.0483443i
\(703\) 7.56971 + 33.1650i 0.285497 + 1.25084i
\(704\) −16.7969 + 27.1472i −0.633058 + 1.02315i
\(705\) 20.5114i 0.772503i
\(706\) 15.7189 + 6.48976i 0.591589 + 0.244246i
\(707\) 18.7219 + 4.84133i 0.704109 + 0.182077i
\(708\) 10.2581 1.17978i 0.385524 0.0443387i
\(709\) −5.29682 + 23.2069i −0.198926 + 0.871553i 0.772651 + 0.634831i \(0.218930\pi\)
−0.971577 + 0.236722i \(0.923927\pi\)
\(710\) 29.0667 8.41027i 1.09085 0.315632i
\(711\) 1.90722 + 1.52095i 0.0715262 + 0.0570402i
\(712\) −12.0457 + 21.9743i −0.451433 + 0.823523i
\(713\) 42.9713 + 9.80793i 1.60929 + 0.367310i
\(714\) 5.59796 0.160164i 0.209498 0.00599399i
\(715\) −14.7770 + 3.37276i −0.552629 + 0.126134i
\(716\) −44.8703 + 15.8170i −1.67688 + 0.591110i
\(717\) 18.5254i 0.691846i
\(718\) −31.1165 12.8469i −1.16126 0.479441i
\(719\) 47.0030 + 22.6355i 1.75292 + 0.844160i 0.976974 + 0.213356i \(0.0684396\pi\)
0.775942 + 0.630804i \(0.217275\pi\)
\(720\) −8.13107 + 0.0375013i −0.303027 + 0.00139759i
\(721\) 9.40216 36.3590i 0.350155 1.35408i
\(722\) 0.557420 + 9.72546i 0.0207450 + 0.361944i
\(723\) −12.7401 + 2.90785i −0.473810 + 0.108144i
\(724\) 1.42942 + 0.893572i 0.0531239 + 0.0332093i
\(725\) 2.04404 + 0.984357i 0.0759137 + 0.0365581i
\(726\) −6.68863 + 1.93532i −0.248238 + 0.0718264i
\(727\) −2.47862 + 1.19364i −0.0919271 + 0.0442698i −0.479282 0.877661i \(-0.659103\pi\)
0.387355 + 0.921931i \(0.373389\pi\)
\(728\) 13.8399 1.99425i 0.512940 0.0739117i
\(729\) −0.900969 0.433884i −0.0333692 0.0160698i
\(730\) −0.619744 0.104564i −0.0229378 0.00387008i
\(731\) 4.23294 18.5457i 0.156561 0.685939i
\(732\) −7.70409 + 7.73970i −0.284751 + 0.286068i
\(733\) 29.2741 23.3453i 1.08126 0.862279i 0.0902339 0.995921i \(-0.471239\pi\)
0.991030 + 0.133642i \(0.0426671\pi\)
\(734\) 24.9967 + 17.6928i 0.922645 + 0.653054i
\(735\) 6.89802 12.4458i 0.254437 0.459069i
\(736\) 2.14784 + 34.6738i 0.0791703 + 1.27809i
\(737\) −19.0731 23.9169i −0.702566 0.880990i
\(738\) −2.33928 + 13.8648i −0.0861100 + 0.510370i
\(739\) −36.7956 8.39835i −1.35355 0.308938i −0.516602 0.856226i \(-0.672803\pi\)
−0.836945 + 0.547288i \(0.815660\pi\)
\(740\) 19.1761 19.2648i 0.704928 0.708187i
\(741\) 4.12502 8.56568i 0.151536 0.314668i
\(742\) 0.342275 0.289350i 0.0125653 0.0106224i
\(743\) 0.272580 + 0.566019i 0.0100000 + 0.0207652i 0.905909 0.423472i \(-0.139189\pi\)
−0.895909 + 0.444238i \(0.853475\pi\)
\(744\) 11.8041 + 16.5150i 0.432761 + 0.605471i
\(745\) −4.22946 + 8.78255i −0.154955 + 0.321768i
\(746\) 1.01724 + 17.7480i 0.0372437 + 0.649802i
\(747\) −1.53196 6.71194i −0.0560514 0.245577i
\(748\) −6.33189 + 10.1289i −0.231517 + 0.370350i
\(749\) 8.09401 1.60495i 0.295749 0.0586438i
\(750\) 4.68853 + 16.2040i 0.171201 + 0.591686i
\(751\) −5.86847 + 12.1860i −0.214143 + 0.444673i −0.980176 0.198128i \(-0.936514\pi\)
0.766033 + 0.642802i \(0.222228\pi\)
\(752\) −31.6712 25.0189i −1.15493 0.912345i
\(753\) −4.89390 −0.178344
\(754\) −3.99134 + 5.63903i −0.145356 + 0.205362i
\(755\) 3.85911 + 16.9079i 0.140448 + 0.615341i
\(756\) 3.64180 + 3.83892i 0.132451 + 0.139620i
\(757\) −2.19896 + 9.63429i −0.0799227 + 0.350164i −0.999039 0.0438211i \(-0.986047\pi\)
0.919117 + 0.393985i \(0.128904\pi\)
\(758\) 9.32576 + 10.4113i 0.338727 + 0.378157i
\(759\) −15.2795 + 19.1598i −0.554610 + 0.695458i
\(760\) 23.7999 17.0110i 0.863313 0.617054i
\(761\) 16.4819 + 3.76188i 0.597467 + 0.136368i 0.510551 0.859848i \(-0.329442\pi\)
0.0869163 + 0.996216i \(0.472299\pi\)
\(762\) −6.05569 6.76062i −0.219375 0.244911i
\(763\) −37.6981 1.08033i −1.36476 0.0391105i
\(764\) −11.0501 17.4964i −0.399778 0.632998i
\(765\) −3.04254 −0.110003
\(766\) −1.73876 1.23070i −0.0628239 0.0444672i
\(767\) 9.40514 2.14666i 0.339600 0.0775115i
\(768\) −9.86003 + 12.6008i −0.355793 + 0.454692i
\(769\) 23.5446 + 18.7762i 0.849038 + 0.677086i 0.948092 0.317997i \(-0.103010\pi\)
−0.0990535 + 0.995082i \(0.531581\pi\)
\(770\) 13.9456 + 26.9577i 0.502565 + 0.971490i
\(771\) −4.95715 + 3.95320i −0.178528 + 0.142371i
\(772\) 29.5586