Properties

Label 384.2.v.a.253.4
Level $384$
Weight $2$
Character 384.253
Analytic conductor $3.066$
Analytic rank $0$
Dimension $512$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 384 = 2^{7} \cdot 3 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 384.v (of order \(32\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.06625543762\)
Analytic rank: \(0\)
Dimension: \(512\)
Relative dimension: \(32\) over \(\Q(\zeta_{32})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{32}]$

Embedding invariants

Embedding label 253.4
Character \(\chi\) \(=\) 384.253
Dual form 384.2.v.a.85.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.34358 - 0.441342i) q^{2} +(-0.634393 - 0.773010i) q^{3} +(1.61043 + 1.18596i) q^{4} +(2.46859 + 0.748840i) q^{5} +(0.511199 + 1.31859i) q^{6} +(2.57470 - 0.512139i) q^{7} +(-1.64034 - 2.30419i) q^{8} +(-0.195090 + 0.980785i) q^{9} +O(q^{10})\) \(q+(-1.34358 - 0.441342i) q^{2} +(-0.634393 - 0.773010i) q^{3} +(1.61043 + 1.18596i) q^{4} +(2.46859 + 0.748840i) q^{5} +(0.511199 + 1.31859i) q^{6} +(2.57470 - 0.512139i) q^{7} +(-1.64034 - 2.30419i) q^{8} +(-0.195090 + 0.980785i) q^{9} +(-2.98627 - 2.09562i) q^{10} +(-0.342322 + 0.0337158i) q^{11} +(-0.104890 - 1.99725i) q^{12} +(1.04484 + 3.44439i) q^{13} +(-3.68535 - 0.448220i) q^{14} +(-0.987199 - 2.38331i) q^{15} +(1.18700 + 3.81982i) q^{16} +(-2.21506 + 5.34764i) q^{17} +(0.694982 - 1.23167i) q^{18} +(3.09113 + 1.65224i) q^{19} +(3.08742 + 4.13361i) q^{20} +(-2.02926 - 1.66537i) q^{21} +(0.474819 + 0.105781i) q^{22} +(-1.10734 - 1.65725i) q^{23} +(-0.740540 + 2.72976i) q^{24} +(1.37585 + 0.919314i) q^{25} +(0.116317 - 5.08896i) q^{26} +(0.881921 - 0.471397i) q^{27} +(4.75376 + 2.22872i) q^{28} +(0.640924 - 6.50741i) q^{29} +(0.274531 + 3.63787i) q^{30} +(6.17902 - 6.17902i) q^{31} +(0.0910097 - 5.65612i) q^{32} +(0.243230 + 0.243230i) q^{33} +(5.33626 - 6.20740i) q^{34} +(6.73940 + 0.663773i) q^{35} +(-1.47735 + 1.34812i) q^{36} +(3.27459 + 6.12633i) q^{37} +(-3.42399 - 3.58417i) q^{38} +(1.99971 - 2.99277i) q^{39} +(-2.32387 - 6.91646i) q^{40} +(3.68846 - 2.46455i) q^{41} +(1.99148 + 3.13316i) q^{42} +(0.676727 - 0.824594i) q^{43} +(-0.591274 - 0.351683i) q^{44} +(-1.21605 + 2.27507i) q^{45} +(0.756391 + 2.71538i) q^{46} +(-7.18356 - 2.97553i) q^{47} +(2.19974 - 3.34083i) q^{48} +(-0.100373 + 0.0415760i) q^{49} +(-1.44284 - 1.84240i) q^{50} +(5.53900 - 1.68024i) q^{51} +(-2.40225 + 6.78611i) q^{52} +(0.897741 + 9.11492i) q^{53} +(-1.39298 + 0.244132i) q^{54} +(-0.870303 - 0.173114i) q^{55} +(-5.40345 - 5.09250i) q^{56} +(-0.683791 - 3.43765i) q^{57} +(-3.73312 + 8.46038i) q^{58} +(1.35904 - 4.48016i) q^{59} +(1.23669 - 5.00894i) q^{60} +(8.45098 - 6.93554i) q^{61} +(-11.0291 + 5.57497i) q^{62} +2.62514i q^{63} +(-2.61856 + 7.55931i) q^{64} +9.28522i q^{65} +(-0.219452 - 0.434147i) q^{66} +(-0.239134 + 0.196252i) q^{67} +(-9.90930 + 5.98505i) q^{68} +(-0.578584 + 1.90734i) q^{69} +(-8.76199 - 3.86621i) q^{70} +(1.57021 + 7.89399i) q^{71} +(2.57993 - 1.15930i) q^{72} +(-11.8459 - 2.35630i) q^{73} +(-1.69588 - 9.67645i) q^{74} +(-0.162191 - 1.64675i) q^{75} +(3.01857 + 6.32679i) q^{76} +(-0.864110 + 0.262125i) q^{77} +(-4.00761 + 3.13849i) q^{78} +(-7.38272 + 3.05802i) q^{79} +(0.0697918 + 10.3185i) q^{80} +(-0.923880 - 0.382683i) q^{81} +(-6.04346 + 1.68346i) q^{82} +(4.94666 - 9.25455i) q^{83} +(-1.29293 - 5.08859i) q^{84} +(-9.47262 + 11.5424i) q^{85} +(-1.27317 + 0.809244i) q^{86} +(-5.43689 + 3.63281i) q^{87} +(0.639213 + 0.733470i) q^{88} +(3.47272 - 5.19729i) q^{89} +(2.63795 - 2.52005i) q^{90} +(4.45416 + 8.33316i) q^{91} +(0.182134 - 3.98216i) q^{92} +(-8.69638 - 0.856518i) q^{93} +(8.33849 + 7.16828i) q^{94} +(6.39348 + 6.39348i) q^{95} +(-4.42998 + 3.51785i) q^{96} +(9.98433 - 9.98433i) q^{97} +(0.153209 - 0.0115619i) q^{98} +(0.0337158 - 0.342322i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 512 q+O(q^{10}) \) Copy content Toggle raw display \( 512 q - 96 q^{50} - 96 q^{52} - 32 q^{54} - 224 q^{56} - 192 q^{60} - 192 q^{62} - 192 q^{64} - 192 q^{66} - 192 q^{68} - 192 q^{70} - 224 q^{74} - 32 q^{76} - 96 q^{78} - 96 q^{80}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/384\mathbb{Z}\right)^\times\).

\(n\) \(127\) \(133\) \(257\)
\(\chi(n)\) \(1\) \(e\left(\frac{3}{32}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.34358 0.441342i −0.950057 0.312076i
\(3\) −0.634393 0.773010i −0.366267 0.446298i
\(4\) 1.61043 + 1.18596i 0.805217 + 0.592980i
\(5\) 2.46859 + 0.748840i 1.10399 + 0.334891i 0.789117 0.614243i \(-0.210538\pi\)
0.314872 + 0.949134i \(0.398038\pi\)
\(6\) 0.511199 + 1.31859i 0.208696 + 0.538312i
\(7\) 2.57470 0.512139i 0.973144 0.193570i 0.317183 0.948365i \(-0.397263\pi\)
0.655962 + 0.754794i \(0.272263\pi\)
\(8\) −1.64034 2.30419i −0.579948 0.814653i
\(9\) −0.195090 + 0.980785i −0.0650301 + 0.326928i
\(10\) −2.98627 2.09562i −0.944341 0.662694i
\(11\) −0.342322 + 0.0337158i −0.103214 + 0.0101657i −0.149492 0.988763i \(-0.547764\pi\)
0.0462782 + 0.998929i \(0.485264\pi\)
\(12\) −0.104890 1.99725i −0.0302792 0.576556i
\(13\) 1.04484 + 3.44439i 0.289788 + 0.955302i 0.974101 + 0.226114i \(0.0726020\pi\)
−0.684313 + 0.729188i \(0.739898\pi\)
\(14\) −3.68535 0.448220i −0.984951 0.119792i
\(15\) −0.987199 2.38331i −0.254894 0.615368i
\(16\) 1.18700 + 3.81982i 0.296750 + 0.954955i
\(17\) −2.21506 + 5.34764i −0.537232 + 1.29699i 0.389416 + 0.921062i \(0.372677\pi\)
−0.926648 + 0.375931i \(0.877323\pi\)
\(18\) 0.694982 1.23167i 0.163809 0.290306i
\(19\) 3.09113 + 1.65224i 0.709154 + 0.379051i 0.786196 0.617977i \(-0.212048\pi\)
−0.0770421 + 0.997028i \(0.524548\pi\)
\(20\) 3.08742 + 4.13361i 0.690368 + 0.924303i
\(21\) −2.02926 1.66537i −0.442821 0.363414i
\(22\) 0.474819 + 0.105781i 0.101232 + 0.0225526i
\(23\) −1.10734 1.65725i −0.230897 0.345561i 0.697871 0.716223i \(-0.254131\pi\)
−0.928768 + 0.370662i \(0.879131\pi\)
\(24\) −0.740540 + 2.72976i −0.151162 + 0.557210i
\(25\) 1.37585 + 0.919314i 0.275170 + 0.183863i
\(26\) 0.116317 5.08896i 0.0228117 0.998027i
\(27\) 0.881921 0.471397i 0.169726 0.0907203i
\(28\) 4.75376 + 2.22872i 0.898376 + 0.421188i
\(29\) 0.640924 6.50741i 0.119017 1.20840i −0.731275 0.682083i \(-0.761074\pi\)
0.850291 0.526312i \(-0.176426\pi\)
\(30\) 0.274531 + 3.63787i 0.0501222 + 0.664181i
\(31\) 6.17902 6.17902i 1.10979 1.10979i 0.116607 0.993178i \(-0.462798\pi\)
0.993178 0.116607i \(-0.0372017\pi\)
\(32\) 0.0910097 5.65612i 0.0160884 0.999871i
\(33\) 0.243230 + 0.243230i 0.0423409 + 0.0423409i
\(34\) 5.33626 6.20740i 0.915161 1.06456i
\(35\) 6.73940 + 0.663773i 1.13917 + 0.112198i
\(36\) −1.47735 + 1.34812i −0.246225 + 0.224687i
\(37\) 3.27459 + 6.12633i 0.538339 + 1.00716i 0.993180 + 0.116589i \(0.0371961\pi\)
−0.454841 + 0.890573i \(0.650304\pi\)
\(38\) −3.42399 3.58417i −0.555444 0.581430i
\(39\) 1.99971 2.99277i 0.320209 0.479227i
\(40\) −2.32387 6.91646i −0.367436 1.09359i
\(41\) 3.68846 2.46455i 0.576040 0.384898i −0.233153 0.972440i \(-0.574904\pi\)
0.809194 + 0.587542i \(0.199904\pi\)
\(42\) 1.99148 + 3.13316i 0.307293 + 0.483457i
\(43\) 0.676727 0.824594i 0.103200 0.125749i −0.718849 0.695166i \(-0.755331\pi\)
0.822049 + 0.569417i \(0.192831\pi\)
\(44\) −0.591274 0.351683i −0.0891379 0.0530183i
\(45\) −1.21605 + 2.27507i −0.181278 + 0.339147i
\(46\) 0.756391 + 2.71538i 0.111524 + 0.400360i
\(47\) −7.18356 2.97553i −1.04783 0.434025i −0.208713 0.977977i \(-0.566928\pi\)
−0.839117 + 0.543951i \(0.816928\pi\)
\(48\) 2.19974 3.34083i 0.317504 0.482208i
\(49\) −0.100373 + 0.0415760i −0.0143391 + 0.00593943i
\(50\) −1.44284 1.84240i −0.204048 0.260554i
\(51\) 5.53900 1.68024i 0.775616 0.235280i
\(52\) −2.40225 + 6.78611i −0.333132 + 0.941064i
\(53\) 0.897741 + 9.11492i 0.123314 + 1.25203i 0.835283 + 0.549820i \(0.185304\pi\)
−0.711969 + 0.702211i \(0.752196\pi\)
\(54\) −1.39298 + 0.244132i −0.189561 + 0.0332222i
\(55\) −0.870303 0.173114i −0.117352 0.0233427i
\(56\) −5.40345 5.09250i −0.722066 0.680515i
\(57\) −0.683791 3.43765i −0.0905703 0.455328i
\(58\) −3.73312 + 8.46038i −0.490183 + 1.11090i
\(59\) 1.35904 4.48016i 0.176932 0.583267i −0.822953 0.568110i \(-0.807675\pi\)
0.999885 0.0151577i \(-0.00482504\pi\)
\(60\) 1.23669 5.00894i 0.159656 0.646652i
\(61\) 8.45098 6.93554i 1.08204 0.888005i 0.0878993 0.996129i \(-0.471985\pi\)
0.994137 + 0.108125i \(0.0344846\pi\)
\(62\) −11.0291 + 5.57497i −1.40070 + 0.708022i
\(63\) 2.62514i 0.330736i
\(64\) −2.61856 + 7.55931i −0.327320 + 0.944913i
\(65\) 9.28522i 1.15169i
\(66\) −0.219452 0.434147i −0.0270127 0.0534398i
\(67\) −0.239134 + 0.196252i −0.0292149 + 0.0239760i −0.648887 0.760884i \(-0.724765\pi\)
0.619673 + 0.784860i \(0.287265\pi\)
\(68\) −9.90930 + 5.98505i −1.20168 + 0.725794i
\(69\) −0.578584 + 1.90734i −0.0696534 + 0.229616i
\(70\) −8.76199 3.86621i −1.04726 0.462101i
\(71\) 1.57021 + 7.89399i 0.186350 + 0.936844i 0.954871 + 0.297020i \(0.0959929\pi\)
−0.768521 + 0.639824i \(0.779007\pi\)
\(72\) 2.57993 1.15930i 0.304047 0.136625i
\(73\) −11.8459 2.35630i −1.38646 0.275784i −0.555222 0.831702i \(-0.687367\pi\)
−0.831237 + 0.555919i \(0.812367\pi\)
\(74\) −1.69588 9.67645i −0.197142 1.12486i
\(75\) −0.162191 1.64675i −0.0187282 0.190151i
\(76\) 3.01857 + 6.32679i 0.346254 + 0.725732i
\(77\) −0.864110 + 0.262125i −0.0984745 + 0.0298719i
\(78\) −4.00761 + 3.13849i −0.453772 + 0.355364i
\(79\) −7.38272 + 3.05802i −0.830621 + 0.344054i −0.757148 0.653243i \(-0.773408\pi\)
−0.0734722 + 0.997297i \(0.523408\pi\)
\(80\) 0.0697918 + 10.3185i 0.00780296 + 1.15364i
\(81\) −0.923880 0.382683i −0.102653 0.0425204i
\(82\) −6.04346 + 1.68346i −0.667389 + 0.185907i
\(83\) 4.94666 9.25455i 0.542967 1.01582i −0.449497 0.893282i \(-0.648397\pi\)
0.992464 0.122537i \(-0.0391031\pi\)
\(84\) −1.29293 5.08859i −0.141070 0.555211i
\(85\) −9.47262 + 11.5424i −1.02745 + 1.25195i
\(86\) −1.27317 + 0.809244i −0.137289 + 0.0872630i
\(87\) −5.43689 + 3.63281i −0.582896 + 0.389479i
\(88\) 0.639213 + 0.733470i 0.0681404 + 0.0781881i
\(89\) 3.47272 5.19729i 0.368107 0.550911i −0.600463 0.799653i \(-0.705017\pi\)
0.968570 + 0.248741i \(0.0800169\pi\)
\(90\) 2.63795 2.52005i 0.278064 0.265637i
\(91\) 4.45416 + 8.33316i 0.466923 + 0.873552i
\(92\) 0.182134 3.98216i 0.0189887 0.415169i
\(93\) −8.69638 0.856518i −0.901772 0.0888168i
\(94\) 8.33849 + 7.16828i 0.860050 + 0.739351i
\(95\) 6.39348 + 6.39348i 0.655957 + 0.655957i
\(96\) −4.42998 + 3.51785i −0.452133 + 0.359040i
\(97\) 9.98433 9.98433i 1.01376 1.01376i 0.0138515 0.999904i \(-0.495591\pi\)
0.999904 0.0138515i \(-0.00440921\pi\)
\(98\) 0.153209 0.0115619i 0.0154765 0.00116793i
\(99\) 0.0337158 0.342322i 0.00338857 0.0344047i
\(100\) 1.12545 + 3.11220i 0.112545 + 0.311220i
\(101\) −12.4645 + 6.66243i −1.24027 + 0.662936i −0.955311 0.295604i \(-0.904479\pi\)
−0.284956 + 0.958540i \(0.591979\pi\)
\(102\) −8.18367 0.187052i −0.810305 0.0185209i
\(103\) −16.2171 10.8359i −1.59792 1.06769i −0.952795 0.303616i \(-0.901806\pi\)
−0.645123 0.764079i \(-0.723194\pi\)
\(104\) 6.22262 8.05749i 0.610178 0.790102i
\(105\) −3.76232 5.63072i −0.367165 0.549502i
\(106\) 2.81660 12.6429i 0.273573 1.22798i
\(107\) 2.62682 + 2.15577i 0.253944 + 0.208406i 0.752749 0.658308i \(-0.228728\pi\)
−0.498805 + 0.866714i \(0.666228\pi\)
\(108\) 1.97933 + 0.286769i 0.190462 + 0.0275943i
\(109\) 1.26797 + 0.677746i 0.121450 + 0.0649163i 0.531003 0.847370i \(-0.321815\pi\)
−0.409553 + 0.912286i \(0.634315\pi\)
\(110\) 1.09292 + 0.616694i 0.104206 + 0.0587995i
\(111\) 2.65834 6.41779i 0.252318 0.609150i
\(112\) 5.01245 + 9.22697i 0.473632 + 0.871867i
\(113\) −1.48248 3.57902i −0.139460 0.336686i 0.838683 0.544620i \(-0.183326\pi\)
−0.978143 + 0.207934i \(0.933326\pi\)
\(114\) −0.598447 + 4.92055i −0.0560497 + 0.460852i
\(115\) −1.49256 4.92031i −0.139182 0.458821i
\(116\) 8.74969 9.71965i 0.812388 0.902447i
\(117\) −3.58204 + 0.352801i −0.331160 + 0.0326164i
\(118\) −3.80327 + 5.41967i −0.350119 + 0.498921i
\(119\) −2.96439 + 14.9030i −0.271745 + 1.36615i
\(120\) −3.87225 + 6.18413i −0.353486 + 0.564531i
\(121\) −10.6726 + 2.12291i −0.970235 + 0.192992i
\(122\) −14.4155 + 5.58871i −1.30512 + 0.505978i
\(123\) −4.24506 1.28772i −0.382764 0.116110i
\(124\) 17.2790 2.62285i 1.55170 0.235538i
\(125\) −5.47464 6.67087i −0.489667 0.596661i
\(126\) 1.15858 3.52709i 0.103215 0.314219i
\(127\) −12.9488 −1.14902 −0.574510 0.818497i \(-0.694807\pi\)
−0.574510 + 0.818497i \(0.694807\pi\)
\(128\) 6.85450 9.00088i 0.605858 0.795573i
\(129\) −1.06673 −0.0939204
\(130\) 4.09796 12.4755i 0.359414 1.09417i
\(131\) 6.80375 + 8.29039i 0.594446 + 0.724335i 0.980143 0.198291i \(-0.0635390\pi\)
−0.385697 + 0.922626i \(0.626039\pi\)
\(132\) 0.103245 + 0.680166i 0.00898634 + 0.0592009i
\(133\) 8.80491 + 2.67094i 0.763482 + 0.231600i
\(134\) 0.407911 0.158141i 0.0352381 0.0136613i
\(135\) 2.53011 0.503270i 0.217757 0.0433145i
\(136\) 15.9554 3.66803i 1.36817 0.314531i
\(137\) −1.44544 + 7.26672i −0.123492 + 0.620838i 0.868619 + 0.495480i \(0.165008\pi\)
−0.992112 + 0.125358i \(0.959992\pi\)
\(138\) 1.61916 2.30731i 0.137832 0.196412i
\(139\) −19.1434 + 1.88546i −1.62372 + 0.159923i −0.868549 0.495603i \(-0.834947\pi\)
−0.755173 + 0.655526i \(0.772447\pi\)
\(140\) 10.0662 + 9.06161i 0.850745 + 0.765846i
\(141\) 2.25709 + 7.44062i 0.190081 + 0.626613i
\(142\) 1.37424 11.2992i 0.115323 0.948211i
\(143\) −0.473804 1.14386i −0.0396215 0.0956547i
\(144\) −3.97800 + 0.418984i −0.331500 + 0.0349153i
\(145\) 6.45519 15.5842i 0.536074 1.29420i
\(146\) 14.8760 + 8.39397i 1.23115 + 0.694690i
\(147\) 0.0958150 + 0.0512142i 0.00790268 + 0.00422407i
\(148\) −1.99206 + 13.7496i −0.163746 + 1.13021i
\(149\) 8.72671 + 7.16182i 0.714920 + 0.586719i 0.919950 0.392036i \(-0.128229\pi\)
−0.205030 + 0.978756i \(0.565729\pi\)
\(150\) −0.508864 + 2.28413i −0.0415486 + 0.186499i
\(151\) −9.67694 14.4826i −0.787498 1.17857i −0.980335 0.197343i \(-0.936769\pi\)
0.192837 0.981231i \(-0.438231\pi\)
\(152\) −1.26343 9.83279i −0.102478 0.797544i
\(153\) −4.81275 3.21578i −0.389088 0.259980i
\(154\) 1.27669 + 0.0291810i 0.102879 + 0.00235147i
\(155\) 19.8806 10.6264i 1.59685 0.853533i
\(156\) 6.76970 2.44809i 0.542010 0.196004i
\(157\) −0.432763 + 4.39391i −0.0345382 + 0.350672i 0.962348 + 0.271820i \(0.0876255\pi\)
−0.996886 + 0.0788523i \(0.974874\pi\)
\(158\) 11.2689 0.850407i 0.896508 0.0676548i
\(159\) 6.47641 6.47641i 0.513613 0.513613i
\(160\) 4.46020 13.8945i 0.352610 1.09846i
\(161\) −3.69981 3.69981i −0.291586 0.291586i
\(162\) 1.07242 + 0.921914i 0.0842569 + 0.0724324i
\(163\) 2.49592 + 0.245827i 0.195495 + 0.0192546i 0.195291 0.980745i \(-0.437435\pi\)
0.000204542 1.00000i \(0.499935\pi\)
\(164\) 8.86288 + 0.405365i 0.692074 + 0.0316537i
\(165\) 0.418296 + 0.782576i 0.0325643 + 0.0609235i
\(166\) −10.7307 + 10.2511i −0.832862 + 0.795640i
\(167\) −6.20377 + 9.28459i −0.480062 + 0.718463i −0.989894 0.141811i \(-0.954708\pi\)
0.509832 + 0.860274i \(0.329708\pi\)
\(168\) −0.508648 + 7.40757i −0.0392430 + 0.571507i
\(169\) 0.0369905 0.0247163i 0.00284543 0.00190125i
\(170\) 17.8214 11.3276i 1.36684 0.868784i
\(171\) −2.22355 + 2.70940i −0.170039 + 0.207193i
\(172\) 2.06776 0.525385i 0.157665 0.0400602i
\(173\) −9.26587 + 17.3352i −0.704471 + 1.31797i 0.233872 + 0.972267i \(0.424860\pi\)
−0.938343 + 0.345705i \(0.887640\pi\)
\(174\) 8.90823 2.48146i 0.675331 0.188119i
\(175\) 4.01322 + 1.66233i 0.303371 + 0.125660i
\(176\) −0.535126 1.26759i −0.0403366 0.0955482i
\(177\) −4.32538 + 1.79163i −0.325115 + 0.134667i
\(178\) −6.95967 + 5.45034i −0.521649 + 0.408520i
\(179\) 16.0719 4.87536i 1.20127 0.364401i 0.374652 0.927165i \(-0.377762\pi\)
0.826617 + 0.562764i \(0.190262\pi\)
\(180\) −4.65651 + 2.22167i −0.347076 + 0.165593i
\(181\) 0.586988 + 5.95979i 0.0436305 + 0.442988i 0.992038 + 0.125935i \(0.0401931\pi\)
−0.948408 + 0.317052i \(0.897307\pi\)
\(182\) −2.30677 13.1621i −0.170989 0.975640i
\(183\) −10.7225 2.13283i −0.792629 0.157664i
\(184\) −2.00221 + 5.26998i −0.147605 + 0.388508i
\(185\) 3.49600 + 17.5756i 0.257031 + 1.29218i
\(186\) 11.3063 + 4.98888i 0.829018 + 0.365802i
\(187\) 0.577966 1.90530i 0.0422651 0.139329i
\(188\) −8.03980 13.3113i −0.586363 0.970827i
\(189\) 2.02926 1.66537i 0.147607 0.121138i
\(190\) −5.76847 11.4119i −0.418489 0.827906i
\(191\) 16.2911i 1.17878i −0.807848 0.589391i \(-0.799368\pi\)
0.807848 0.589391i \(-0.200632\pi\)
\(192\) 7.50462 2.77140i 0.541599 0.200008i
\(193\) 12.6761i 0.912448i −0.889865 0.456224i \(-0.849202\pi\)
0.889865 0.456224i \(-0.150798\pi\)
\(194\) −17.8213 + 9.00829i −1.27949 + 0.646757i
\(195\) 7.17757 5.89048i 0.513997 0.421826i
\(196\) −0.210952 0.0520833i −0.0150680 0.00372024i
\(197\) −2.16075 + 7.12305i −0.153947 + 0.507496i −0.999658 0.0261451i \(-0.991677\pi\)
0.845711 + 0.533641i \(0.179177\pi\)
\(198\) −0.196381 + 0.445059i −0.0139562 + 0.0316289i
\(199\) 2.55848 + 12.8623i 0.181366 + 0.911788i 0.959073 + 0.283160i \(0.0913829\pi\)
−0.777707 + 0.628627i \(0.783617\pi\)
\(200\) −0.138592 4.67821i −0.00979996 0.330799i
\(201\) 0.303410 + 0.0603520i 0.0214009 + 0.00425690i
\(202\) 19.6875 3.45042i 1.38521 0.242770i
\(203\) −1.68251 17.0829i −0.118089 1.19898i
\(204\) 10.9129 + 3.86312i 0.764056 + 0.270472i
\(205\) 10.9509 3.32191i 0.764841 0.232012i
\(206\) 17.0067 + 21.7162i 1.18491 + 1.51304i
\(207\) 1.84144 0.762750i 0.127989 0.0530148i
\(208\) −11.9167 + 8.07961i −0.826275 + 0.560220i
\(209\) −1.11387 0.461380i −0.0770480 0.0319143i
\(210\) 2.56993 + 9.22581i 0.177342 + 0.636641i
\(211\) −3.20002 + 5.98682i −0.220299 + 0.412150i −0.967656 0.252272i \(-0.918822\pi\)
0.747358 + 0.664422i \(0.231322\pi\)
\(212\) −9.36417 + 15.7437i −0.643134 + 1.08128i
\(213\) 5.10601 6.22169i 0.349858 0.426303i
\(214\) −2.57792 4.05579i −0.176223 0.277248i
\(215\) 2.28805 1.52883i 0.156044 0.104265i
\(216\) −2.53284 1.25886i −0.172338 0.0856546i
\(217\) 12.7446 19.0736i 0.865159 1.29480i
\(218\) −1.40451 1.47022i −0.0951255 0.0995758i
\(219\) 5.69352 + 10.6518i 0.384732 + 0.719784i
\(220\) −1.19626 1.31093i −0.0806519 0.0883831i
\(221\) −20.7337 2.04210i −1.39470 0.137366i
\(222\) −6.40414 + 7.44961i −0.429818 + 0.499985i
\(223\) 1.18297 + 1.18297i 0.0792177 + 0.0792177i 0.745605 0.666388i \(-0.232160\pi\)
−0.666388 + 0.745605i \(0.732160\pi\)
\(224\) −2.66240 14.6094i −0.177889 0.976133i
\(225\) −1.17007 + 1.17007i −0.0780043 + 0.0780043i
\(226\) 0.412263 + 5.46299i 0.0274233 + 0.363393i
\(227\) −1.26102 + 12.8034i −0.0836969 + 0.849789i 0.858072 + 0.513529i \(0.171662\pi\)
−0.941769 + 0.336260i \(0.890838\pi\)
\(228\) 2.97571 6.34706i 0.197071 0.420344i
\(229\) 21.3287 11.4004i 1.40944 0.753361i 0.421300 0.906921i \(-0.361574\pi\)
0.988139 + 0.153560i \(0.0490738\pi\)
\(230\) −0.166159 + 7.26958i −0.0109562 + 0.479342i
\(231\) 0.750811 + 0.501676i 0.0493997 + 0.0330078i
\(232\) −16.0456 + 9.19756i −1.05345 + 0.603849i
\(233\) −15.0479 22.5207i −0.985819 1.47538i −0.876515 0.481374i \(-0.840138\pi\)
−0.109303 0.994008i \(-0.534862\pi\)
\(234\) 4.96848 + 1.10689i 0.324800 + 0.0723596i
\(235\) −15.5051 12.7247i −1.01144 0.830069i
\(236\) 7.50194 5.60324i 0.488335 0.364740i
\(237\) 7.04743 + 3.76693i 0.457780 + 0.244688i
\(238\) 10.5602 18.7151i 0.684517 1.21312i
\(239\) −1.34058 + 3.23644i −0.0867148 + 0.209348i −0.961288 0.275545i \(-0.911142\pi\)
0.874573 + 0.484893i \(0.161142\pi\)
\(240\) 7.93200 6.59991i 0.512009 0.426023i
\(241\) −1.32866 3.20767i −0.0855865 0.206624i 0.875292 0.483595i \(-0.160669\pi\)
−0.960878 + 0.276971i \(0.910669\pi\)
\(242\) 15.2764 + 1.85795i 0.982007 + 0.119434i
\(243\) 0.290285 + 0.956940i 0.0186218 + 0.0613878i
\(244\) 21.8350 1.14672i 1.39784 0.0734111i
\(245\) −0.278915 + 0.0274707i −0.0178192 + 0.00175504i
\(246\) 5.13526 + 3.60368i 0.327412 + 0.229763i
\(247\) −2.46122 + 12.3734i −0.156604 + 0.787300i
\(248\) −24.3733 4.10192i −1.54771 0.260472i
\(249\) −10.2920 + 2.04720i −0.652229 + 0.129736i
\(250\) 4.41151 + 11.3791i 0.279008 + 0.719675i
\(251\) −4.12967 1.25272i −0.260663 0.0790711i 0.157249 0.987559i \(-0.449738\pi\)
−0.417911 + 0.908488i \(0.637238\pi\)
\(252\) −3.11331 + 4.22762i −0.196120 + 0.266315i
\(253\) 0.434944 + 0.529980i 0.0273447 + 0.0333196i
\(254\) 17.3978 + 5.71485i 1.09164 + 0.358581i
\(255\) 14.9318 0.935065
\(256\) −13.1821 + 9.06827i −0.823878 + 0.566767i
\(257\) 29.4479 1.83691 0.918456 0.395524i \(-0.129437\pi\)
0.918456 + 0.395524i \(0.129437\pi\)
\(258\) 1.43324 + 0.470793i 0.0892298 + 0.0293103i
\(259\) 11.5686 + 14.0964i 0.718839 + 0.875907i
\(260\) −11.0119 + 14.9532i −0.682929 + 0.927361i
\(261\) 6.25733 + 1.89814i 0.387319 + 0.117492i
\(262\) −5.48251 14.1416i −0.338711 0.873672i
\(263\) −14.6323 + 2.91056i −0.902269 + 0.179473i −0.624362 0.781135i \(-0.714641\pi\)
−0.277908 + 0.960608i \(0.589641\pi\)
\(264\) 0.161467 0.959427i 0.00993762 0.0590486i
\(265\) −4.60946 + 23.1733i −0.283157 + 1.42353i
\(266\) −10.6513 7.47460i −0.653075 0.458297i
\(267\) −6.22063 + 0.612678i −0.380696 + 0.0374953i
\(268\) −0.617857 + 0.0324482i −0.0377416 + 0.00198209i
\(269\) −2.38146 7.85063i −0.145200 0.478661i 0.853929 0.520390i \(-0.174213\pi\)
−0.999129 + 0.0417289i \(0.986713\pi\)
\(270\) −3.62152 0.440457i −0.220399 0.0268054i
\(271\) 4.70866 + 11.3677i 0.286031 + 0.690539i 0.999953 0.00968592i \(-0.00308317\pi\)
−0.713923 + 0.700225i \(0.753083\pi\)
\(272\) −23.0563 2.11349i −1.39799 0.128149i
\(273\) 3.61592 8.72961i 0.218846 0.528340i
\(274\) 5.14918 9.12552i 0.311073 0.551293i
\(275\) −0.501980 0.268314i −0.0302705 0.0161799i
\(276\) −3.19380 + 2.38546i −0.192244 + 0.143588i
\(277\) −3.63056 2.97953i −0.218139 0.179022i 0.518977 0.854788i \(-0.326313\pi\)
−0.737116 + 0.675766i \(0.763813\pi\)
\(278\) 26.5529 + 5.91551i 1.59254 + 0.354789i
\(279\) 4.85483 + 7.26576i 0.290651 + 0.434990i
\(280\) −9.52545 16.6176i −0.569255 0.993094i
\(281\) 9.48457 + 6.33739i 0.565802 + 0.378057i 0.805325 0.592834i \(-0.201991\pi\)
−0.239523 + 0.970891i \(0.576991\pi\)
\(282\) 0.251270 10.9932i 0.0149629 0.654638i
\(283\) −21.3847 + 11.4304i −1.27119 + 0.679466i −0.962393 0.271662i \(-0.912427\pi\)
−0.308798 + 0.951128i \(0.599927\pi\)
\(284\) −6.83323 + 14.5750i −0.405477 + 0.864865i
\(285\) 0.886246 8.99821i 0.0524967 0.533008i
\(286\) 0.131760 + 1.74599i 0.00779116 + 0.103242i
\(287\) 8.23447 8.23447i 0.486066 0.486066i
\(288\) 5.52969 + 1.19272i 0.325840 + 0.0702814i
\(289\) −11.6699 11.6699i −0.686466 0.686466i
\(290\) −15.5510 + 18.0897i −0.913189 + 1.06227i
\(291\) −14.0520 1.38400i −0.823742 0.0811315i
\(292\) −16.2826 17.8434i −0.952866 1.04421i
\(293\) −10.1175 18.9286i −0.591073 1.10582i −0.982614 0.185659i \(-0.940558\pi\)
0.391541 0.920161i \(-0.371942\pi\)
\(294\) −0.106132 0.111098i −0.00618977 0.00647935i
\(295\) 6.70985 10.0420i 0.390662 0.584668i
\(296\) 8.74476 17.5945i 0.508279 1.02266i
\(297\) −0.286008 + 0.191104i −0.0165959 + 0.0110890i
\(298\) −8.56425 13.4740i −0.496114 0.780526i
\(299\) 4.55123 5.54569i 0.263204 0.320715i
\(300\) 1.69178 2.84434i 0.0976752 0.164218i
\(301\) 1.32006 2.46966i 0.0760870 0.142349i
\(302\) 6.61002 + 23.7294i 0.380364 + 1.36547i
\(303\) 13.0575 + 5.40861i 0.750136 + 0.310717i
\(304\) −2.64210 + 13.7688i −0.151535 + 0.789694i
\(305\) 26.0556 10.7926i 1.49194 0.617983i
\(306\) 5.04707 + 6.44473i 0.288522 + 0.368421i
\(307\) −15.0233 + 4.55727i −0.857425 + 0.260097i −0.688236 0.725487i \(-0.741615\pi\)
−0.169189 + 0.985584i \(0.554115\pi\)
\(308\) −1.70246 0.602664i −0.0970068 0.0343400i
\(309\) 1.91174 + 19.4102i 0.108755 + 1.10421i
\(310\) −31.4011 + 5.50332i −1.78346 + 0.312568i
\(311\) −26.9961 5.36985i −1.53081 0.304496i −0.643416 0.765516i \(-0.722484\pi\)
−0.887390 + 0.461020i \(0.847484\pi\)
\(312\) −10.1761 + 0.301468i −0.576109 + 0.0170673i
\(313\) −0.279084 1.40305i −0.0157747 0.0793050i 0.972096 0.234583i \(-0.0753726\pi\)
−0.987871 + 0.155278i \(0.950373\pi\)
\(314\) 2.52067 5.71259i 0.142250 0.322380i
\(315\) −1.96581 + 6.48041i −0.110761 + 0.365129i
\(316\) −15.5161 3.83086i −0.872847 0.215502i
\(317\) 26.7603 21.9616i 1.50301 1.23349i 0.602898 0.797818i \(-0.294013\pi\)
0.900108 0.435667i \(-0.143487\pi\)
\(318\) −11.5599 + 5.84329i −0.648247 + 0.327675i
\(319\) 2.24924i 0.125933i
\(320\) −12.1249 + 16.7000i −0.677801 + 0.933557i
\(321\) 3.39817i 0.189667i
\(322\) 3.33813 + 6.60389i 0.186027 + 0.368021i
\(323\) −15.6827 + 12.8704i −0.872606 + 0.716130i
\(324\) −1.03400 1.71197i −0.0574445 0.0951095i
\(325\) −1.72893 + 5.69951i −0.0959036 + 0.316152i
\(326\) −3.24498 1.43184i −0.179723 0.0793024i
\(327\) −0.280489 1.41011i −0.0155111 0.0779795i
\(328\) −11.7291 4.45620i −0.647632 0.246052i
\(329\) −20.0194 3.98210i −1.10370 0.219540i
\(330\) −0.216632 1.23607i −0.0119252 0.0680433i
\(331\) −3.22075 32.7008i −0.177028 1.79740i −0.515985 0.856598i \(-0.672574\pi\)
0.338956 0.940802i \(-0.389926\pi\)
\(332\) 18.9418 9.03732i 1.03957 0.495987i
\(333\) −6.64745 + 2.01648i −0.364278 + 0.110503i
\(334\) 12.4330 9.73665i 0.680301 0.532766i
\(335\) −0.737286 + 0.305394i −0.0402823 + 0.0166855i
\(336\) 3.95268 9.72821i 0.215636 0.530717i
\(337\) 29.5250 + 12.2296i 1.60833 + 0.666191i 0.992562 0.121740i \(-0.0388473\pi\)
0.615764 + 0.787930i \(0.288847\pi\)
\(338\) −0.0606082 + 0.0168829i −0.00329665 + 0.000918311i
\(339\) −1.82614 + 3.41647i −0.0991825 + 0.185557i
\(340\) −28.9439 + 7.35418i −1.56970 + 0.398836i
\(341\) −1.90689 + 2.32355i −0.103264 + 0.125827i
\(342\) 4.18329 2.65896i 0.226206 0.143780i
\(343\) −15.5162 + 10.3676i −0.837796 + 0.559798i
\(344\) −3.01008 0.206690i −0.162293 0.0111440i
\(345\) −2.85658 + 4.27518i −0.153793 + 0.230168i
\(346\) 20.1002 19.2019i 1.08059 1.03230i
\(347\) 13.7802 + 25.7810i 0.739762 + 1.38400i 0.916619 + 0.399761i \(0.130907\pi\)
−0.176857 + 0.984236i \(0.556593\pi\)
\(348\) −13.0641 0.597519i −0.700311 0.0320304i
\(349\) −4.76163 0.468980i −0.254884 0.0251039i −0.0302321 0.999543i \(-0.509625\pi\)
−0.224652 + 0.974439i \(0.572125\pi\)
\(350\) −4.65844 4.00468i −0.249004 0.214059i
\(351\) 2.54514 + 2.54514i 0.135850 + 0.135850i
\(352\) 0.159546 + 1.93929i 0.00850384 + 0.103364i
\(353\) −26.2312 + 26.2312i −1.39615 + 1.39615i −0.585405 + 0.810741i \(0.699065\pi\)
−0.810741 + 0.585405i \(0.800935\pi\)
\(354\) 6.60223 0.498236i 0.350905 0.0264809i
\(355\) −2.03512 + 20.6629i −0.108013 + 1.09667i
\(356\) 11.7564 4.25139i 0.623086 0.225323i
\(357\) 13.4007 7.16285i 0.709243 0.379098i
\(358\) −23.7456 0.542748i −1.25500 0.0286851i
\(359\) 16.6301 + 11.1119i 0.877702 + 0.586462i 0.910734 0.412993i \(-0.135516\pi\)
−0.0330324 + 0.999454i \(0.510516\pi\)
\(360\) 7.23693 0.929883i 0.381419 0.0490091i
\(361\) −3.73066 5.58332i −0.196350 0.293859i
\(362\) 1.84164 8.26654i 0.0967942 0.434480i
\(363\) 8.41165 + 6.90326i 0.441497 + 0.362327i
\(364\) −2.70964 + 18.7025i −0.142024 + 0.980275i
\(365\) −27.4782 14.6874i −1.43828 0.768775i
\(366\) 13.4652 + 7.59792i 0.703840 + 0.397150i
\(367\) −5.55188 + 13.4034i −0.289806 + 0.699653i −0.999990 0.00436221i \(-0.998611\pi\)
0.710185 + 0.704016i \(0.248611\pi\)
\(368\) 5.01599 6.19701i 0.261477 0.323041i
\(369\) 1.69761 + 4.09840i 0.0883741 + 0.213354i
\(370\) 3.05966 25.1572i 0.159064 1.30786i
\(371\) 6.97952 + 23.0084i 0.362359 + 1.19454i
\(372\) −12.9892 11.6929i −0.673456 0.606249i
\(373\) −28.5933 + 2.81619i −1.48050 + 0.145817i −0.805764 0.592237i \(-0.798245\pi\)
−0.674741 + 0.738054i \(0.735745\pi\)
\(374\) −1.61743 + 2.30485i −0.0836356 + 0.119181i
\(375\) −1.68358 + 8.46391i −0.0869395 + 0.437075i
\(376\) 4.92731 + 21.4332i 0.254107 + 1.10533i
\(377\) 23.0837 4.59163i 1.18887 0.236481i
\(378\) −3.46148 + 1.34197i −0.178039 + 0.0690234i
\(379\) −11.0658 3.35679i −0.568414 0.172427i −0.00702035 0.999975i \(-0.502235\pi\)
−0.561394 + 0.827549i \(0.689735\pi\)
\(380\) 2.71388 + 17.8787i 0.139219 + 0.917158i
\(381\) 8.21463 + 10.0096i 0.420848 + 0.512805i
\(382\) −7.18994 + 21.8885i −0.367869 + 1.11991i
\(383\) −9.32760 −0.476618 −0.238309 0.971189i \(-0.576593\pi\)
−0.238309 + 0.971189i \(0.576593\pi\)
\(384\) −11.3062 + 0.411503i −0.576968 + 0.0209994i
\(385\) −2.32943 −0.118719
\(386\) −5.59451 + 17.0314i −0.284753 + 0.866878i
\(387\) 0.676727 + 0.824594i 0.0344000 + 0.0419165i
\(388\) 27.9201 4.23811i 1.41743 0.215157i
\(389\) 3.76297 + 1.14148i 0.190790 + 0.0578755i 0.384234 0.923236i \(-0.374466\pi\)
−0.193444 + 0.981111i \(0.561966\pi\)
\(390\) −12.2434 + 4.74659i −0.619968 + 0.240353i
\(391\) 11.3152 2.25074i 0.572236 0.113825i
\(392\) 0.260446 + 0.163080i 0.0131545 + 0.00823680i
\(393\) 2.09231 10.5187i 0.105543 0.530600i
\(394\) 6.04685 8.61679i 0.304636 0.434107i
\(395\) −20.5149 + 2.02054i −1.03222 + 0.101664i
\(396\) 0.460278 0.511303i 0.0231298 0.0256939i
\(397\) −5.94614 19.6018i −0.298428 0.983786i −0.970053 0.242894i \(-0.921903\pi\)
0.671625 0.740892i \(-0.265597\pi\)
\(398\) 2.23916 18.4108i 0.112239 0.922850i
\(399\) −3.52111 8.50071i −0.176276 0.425568i
\(400\) −1.87848 + 6.34673i −0.0939239 + 0.317337i
\(401\) 2.89621 6.99208i 0.144630 0.349168i −0.834919 0.550373i \(-0.814486\pi\)
0.979549 + 0.201205i \(0.0644857\pi\)
\(402\) −0.381021 0.214995i −0.0190036 0.0107230i
\(403\) 27.7391 + 14.8268i 1.38178 + 0.738577i
\(404\) −27.9747 4.05301i −1.39179 0.201645i
\(405\) −1.99412 1.63653i −0.0990884 0.0813197i
\(406\) −5.27878 + 23.6948i −0.261981 + 1.17595i
\(407\) −1.32752 1.98677i −0.0658027 0.0984807i
\(408\) −12.9574 10.0067i −0.641489 0.495407i
\(409\) 26.5807 + 17.7607i 1.31433 + 0.878209i 0.997527 0.0702813i \(-0.0223897\pi\)
0.316806 + 0.948490i \(0.397390\pi\)
\(410\) −16.1795 0.369811i −0.799048 0.0182637i
\(411\) 6.53423 3.49262i 0.322310 0.172278i
\(412\) −13.2656 36.6833i −0.653550 1.80726i
\(413\) 1.20466 12.2311i 0.0592773 0.601852i
\(414\) −2.81076 + 0.212114i −0.138142 + 0.0104248i
\(415\) 19.1415 19.1415i 0.939618 0.939618i
\(416\) 19.5770 5.59629i 0.959840 0.274381i
\(417\) 13.6019 + 13.6019i 0.666089 + 0.666089i
\(418\) 1.29295 + 1.11150i 0.0632403 + 0.0543653i
\(419\) −2.07764 0.204630i −0.101499 0.00999681i 0.0471399 0.998888i \(-0.484989\pi\)
−0.148639 + 0.988891i \(0.547489\pi\)
\(420\) 0.618821 13.5299i 0.0301954 0.660190i
\(421\) −1.96636 3.67881i −0.0958347 0.179294i 0.829436 0.558602i \(-0.188662\pi\)
−0.925270 + 0.379308i \(0.876162\pi\)
\(422\) 6.94173 6.63149i 0.337918 0.322816i
\(423\) 4.31980 6.46503i 0.210036 0.314341i
\(424\) 19.5299 17.0201i 0.948455 0.826571i
\(425\) −7.96376 + 5.32121i −0.386299 + 0.258117i
\(426\) −9.60624 + 6.10586i −0.465424 + 0.295830i
\(427\) 18.2068 22.1850i 0.881086 1.07361i
\(428\) 1.67366 + 6.58703i 0.0808994 + 0.318396i
\(429\) −0.583641 + 1.09191i −0.0281784 + 0.0527182i
\(430\) −3.74893 + 1.04430i −0.180789 + 0.0503604i
\(431\) −0.247516 0.102525i −0.0119224 0.00493843i 0.376714 0.926330i \(-0.377054\pi\)
−0.388637 + 0.921391i \(0.627054\pi\)
\(432\) 2.84749 + 2.80923i 0.137000 + 0.135159i
\(433\) 25.2602 10.4631i 1.21393 0.502825i 0.318453 0.947939i \(-0.396837\pi\)
0.895474 + 0.445114i \(0.146837\pi\)
\(434\) −25.5414 + 20.0023i −1.22603 + 0.960141i
\(435\) −16.1419 + 4.89659i −0.773944 + 0.234773i
\(436\) 1.23821 + 2.59523i 0.0592995 + 0.124289i
\(437\) −0.684750 6.95238i −0.0327560 0.332578i
\(438\) −2.94863 16.8244i −0.140891 0.803901i
\(439\) 14.5369 + 2.89157i 0.693809 + 0.138007i 0.529384 0.848382i \(-0.322423\pi\)
0.164425 + 0.986390i \(0.447423\pi\)
\(440\) 1.02871 + 2.28931i 0.0490417 + 0.109138i
\(441\) −0.0211953 0.106556i −0.00100930 0.00507409i
\(442\) 26.9563 + 11.8944i 1.28218 + 0.565759i
\(443\) 9.66448 31.8595i 0.459173 1.51369i −0.356006 0.934484i \(-0.615862\pi\)
0.815180 0.579208i \(-0.196638\pi\)
\(444\) 11.8923 7.18276i 0.564384 0.340879i
\(445\) 12.4647 10.2295i 0.590882 0.484924i
\(446\) −1.06733 2.11152i −0.0505395 0.0999833i
\(447\) 11.2892i 0.533963i
\(448\) −2.87059 + 20.8040i −0.135623 + 0.982897i
\(449\) 6.89233i 0.325269i −0.986686 0.162635i \(-0.948001\pi\)
0.986686 0.162635i \(-0.0519992\pi\)
\(450\) 2.08848 1.05568i 0.0984518 0.0497653i
\(451\) −1.17955 + 0.968030i −0.0555427 + 0.0455827i
\(452\) 1.85713 7.52193i 0.0873522 0.353802i
\(453\) −5.05619 + 16.6680i −0.237560 + 0.783131i
\(454\) 7.34494 16.6458i 0.344715 0.781228i
\(455\) 4.75533 + 23.9066i 0.222933 + 1.12076i
\(456\) −6.79934 + 7.21450i −0.318408 + 0.337850i
\(457\) 0.242410 + 0.0482184i 0.0113395 + 0.00225556i 0.200757 0.979641i \(-0.435660\pi\)
−0.189417 + 0.981897i \(0.560660\pi\)
\(458\) −33.6884 + 5.90418i −1.57415 + 0.275884i
\(459\) 0.567347 + 5.76037i 0.0264815 + 0.268871i
\(460\) 3.43162 9.69395i 0.160000 0.451983i
\(461\) 4.66482 1.41506i 0.217262 0.0659057i −0.179777 0.983707i \(-0.557538\pi\)
0.397039 + 0.917802i \(0.370038\pi\)
\(462\) −0.787367 1.00541i −0.0366316 0.0467758i
\(463\) 0.407658 0.168857i 0.0189455 0.00784747i −0.373191 0.927755i \(-0.621736\pi\)
0.392136 + 0.919907i \(0.371736\pi\)
\(464\) 25.6179 5.27609i 1.18928 0.244936i
\(465\) −20.8264 8.62659i −0.965803 0.400049i
\(466\) 10.2787 + 36.8997i 0.476153 + 1.70935i
\(467\) 15.0596 28.1745i 0.696876 1.30376i −0.245562 0.969381i \(-0.578973\pi\)
0.942438 0.334382i \(-0.108527\pi\)
\(468\) −6.18706 3.68000i −0.285997 0.170108i
\(469\) −0.515189 + 0.627760i −0.0237892 + 0.0289873i
\(470\) 15.2165 + 23.9398i 0.701883 + 1.10426i
\(471\) 3.67108 2.45294i 0.169154 0.113025i
\(472\) −12.5524 + 4.21751i −0.577772 + 0.194126i
\(473\) −0.203857 + 0.305094i −0.00937336 + 0.0140282i
\(474\) −7.80631 8.17151i −0.358556 0.375330i
\(475\) 2.73400 + 5.11496i 0.125445 + 0.234691i
\(476\) −22.4483 + 20.4846i −1.02892 + 0.938912i
\(477\) −9.11492 0.897741i −0.417344 0.0411048i
\(478\) 3.22956 3.75678i 0.147716 0.171831i
\(479\) −25.3109 25.3109i −1.15648 1.15648i −0.985226 0.171257i \(-0.945217\pi\)
−0.171257 0.985226i \(-0.554783\pi\)
\(480\) −13.5701 + 5.36681i −0.619389 + 0.244960i
\(481\) −17.6800 + 17.6800i −0.806139 + 0.806139i
\(482\) 0.369488 + 4.89616i 0.0168297 + 0.223014i
\(483\) −0.512858 + 5.20713i −0.0233358 + 0.236933i
\(484\) −19.7052 9.23845i −0.895691 0.419929i
\(485\) 32.1239 17.1706i 1.45867 0.779677i
\(486\) 0.0323159 1.41384i 0.00146588 0.0641333i
\(487\) 27.7843 + 18.5649i 1.25903 + 0.841255i 0.992461 0.122562i \(-0.0391110\pi\)
0.266566 + 0.963817i \(0.414111\pi\)
\(488\) −29.8433 8.09599i −1.35094 0.366488i
\(489\) −1.39337 2.08532i −0.0630103 0.0943015i
\(490\) 0.386870 + 0.0861876i 0.0174770 + 0.00389356i
\(491\) 1.43686 + 1.17920i 0.0648445 + 0.0532165i 0.666257 0.745722i \(-0.267895\pi\)
−0.601413 + 0.798938i \(0.705395\pi\)
\(492\) −5.30920 7.10826i −0.239357 0.320465i
\(493\) 33.3796 + 17.8418i 1.50334 + 0.803552i
\(494\) 8.76775 15.5384i 0.394480 0.699108i
\(495\) 0.339575 0.819808i 0.0152628 0.0368476i
\(496\) 30.9373 + 16.2682i 1.38912 + 0.730466i
\(497\) 8.08565 + 19.5205i 0.362691 + 0.875613i
\(498\) 14.7317 + 1.79169i 0.660142 + 0.0802878i
\(499\) −2.35748 7.77157i −0.105535 0.347903i 0.888230 0.459400i \(-0.151936\pi\)
−0.993765 + 0.111497i \(0.964436\pi\)
\(500\) −0.905175 17.2357i −0.0404807 0.770804i
\(501\) 11.1127 1.09451i 0.496479 0.0488990i
\(502\) 4.99568 + 3.50573i 0.222968 + 0.156469i
\(503\) −1.29704 + 6.52067i −0.0578322 + 0.290742i −0.998868 0.0475644i \(-0.984854\pi\)
0.941036 + 0.338307i \(0.109854\pi\)
\(504\) 6.04881 4.30612i 0.269436 0.191810i
\(505\) −35.7590 + 7.11290i −1.59125 + 0.316520i
\(506\) −0.350481 0.904032i −0.0155808 0.0401891i
\(507\) −0.0425725 0.0129142i −0.00189071 0.000573541i
\(508\) −20.8532 15.3567i −0.925211 0.681346i
\(509\) −5.97921 7.28569i −0.265024 0.322932i 0.623447 0.781866i \(-0.285732\pi\)
−0.888471 + 0.458933i \(0.848232\pi\)
\(510\) −20.0621 6.59002i −0.888365 0.291811i
\(511\) −31.7064 −1.40261
\(512\) 21.7134 6.36619i 0.959606 0.281348i
\(513\) 3.50500 0.154749
\(514\) −39.5658 12.9966i −1.74517 0.573255i
\(515\) −31.9191 38.8935i −1.40652 1.71385i
\(516\) −1.71790 1.26510i −0.0756264 0.0556929i
\(517\) 2.55942 + 0.776391i 0.112563 + 0.0341456i
\(518\) −9.32207 24.0454i −0.409588 1.05649i
\(519\) 19.2785 3.83473i 0.846233 0.168326i
\(520\) 21.3949 15.2309i 0.938228 0.667920i
\(521\) −2.67369 + 13.4416i −0.117137 + 0.588886i 0.876976 + 0.480534i \(0.159557\pi\)
−0.994113 + 0.108352i \(0.965443\pi\)
\(522\) −7.56952 5.31193i −0.331309 0.232497i
\(523\) −5.58449 + 0.550024i −0.244193 + 0.0240509i −0.219373 0.975641i \(-0.570401\pi\)
−0.0248197 + 0.999692i \(0.507901\pi\)
\(524\) 1.12493 + 21.4201i 0.0491427 + 0.935742i
\(525\) −1.26096 4.15683i −0.0550328 0.181419i
\(526\) 20.9443 + 2.54729i 0.913217 + 0.111067i
\(527\) 19.3562 + 46.7301i 0.843171 + 2.03560i
\(528\) −0.640380 + 1.21781i −0.0278690 + 0.0529983i
\(529\) 7.28143 17.5789i 0.316584 0.764302i
\(530\) 16.4205 29.1009i 0.713263 1.26406i
\(531\) 4.12894 + 2.20696i 0.179181 + 0.0957741i
\(532\) 11.0121 + 14.7436i 0.477435 + 0.639218i
\(533\) 12.3427 + 10.1294i 0.534623 + 0.438754i
\(534\) 8.62833 + 1.92224i 0.373384 + 0.0831833i
\(535\) 4.87022 + 7.28880i 0.210558 + 0.315122i
\(536\) 0.844463 + 0.229089i 0.0364752 + 0.00989514i
\(537\) −13.9646 9.33085i −0.602617 0.402656i
\(538\) −0.265116 + 11.5990i −0.0114300 + 0.500069i
\(539\) 0.0329583 0.0176166i 0.00141962 0.000758800i
\(540\) 4.67143 + 2.19012i 0.201026 + 0.0942478i
\(541\) 0.121607 1.23470i 0.00522831 0.0530840i −0.992217 0.124524i \(-0.960260\pi\)
0.997445 + 0.0714403i \(0.0227595\pi\)
\(542\) −1.30943 17.3516i −0.0562450 0.745314i
\(543\) 4.23460 4.23460i 0.181724 0.181724i
\(544\) 30.0453 + 13.0154i 1.28818 + 0.558029i
\(545\) 2.62259 + 2.62259i 0.112339 + 0.112339i
\(546\) −8.71104 + 10.1331i −0.372798 + 0.433657i
\(547\) 39.9881 + 3.93848i 1.70977 + 0.168397i 0.905062 0.425279i \(-0.139824\pi\)
0.804704 + 0.593677i \(0.202324\pi\)
\(548\) −10.9458 + 9.98835i −0.467583 + 0.426681i
\(549\) 5.15357 + 9.64165i 0.219949 + 0.411496i
\(550\) 0.556034 + 0.582047i 0.0237094 + 0.0248186i
\(551\) 12.7330 19.0563i 0.542444 0.811825i
\(552\) 5.34394 1.79552i 0.227453 0.0764223i
\(553\) −17.4421 + 11.6545i −0.741715 + 0.495598i
\(554\) 3.56298 + 5.60556i 0.151376 + 0.238157i
\(555\) 11.3683 13.8523i 0.482556 0.587996i
\(556\) −33.0653 19.6669i −1.40228 0.834061i
\(557\) 3.00176 5.61591i 0.127189 0.237954i −0.810265 0.586064i \(-0.800677\pi\)
0.937453 + 0.348111i \(0.113177\pi\)
\(558\) −3.31618 11.9048i −0.140385 0.503970i
\(559\) 3.54730 + 1.46934i 0.150035 + 0.0621464i
\(560\) 5.46418 + 26.5312i 0.230904 + 1.12115i
\(561\) −1.83947 + 0.761935i −0.0776627 + 0.0321689i
\(562\) −9.94636 12.7007i −0.419562 0.535749i
\(563\) 17.8459 5.41350i 0.752116 0.228152i 0.109128 0.994028i \(-0.465194\pi\)
0.642989 + 0.765876i \(0.277694\pi\)
\(564\) −5.18938 + 14.6595i −0.218512 + 0.617274i
\(565\) −0.979524 9.94528i −0.0412089 0.418401i
\(566\) 33.7769 5.91970i 1.41975 0.248824i
\(567\) −2.57470 0.512139i −0.108127 0.0215078i
\(568\) 15.6136 16.5669i 0.655130 0.695132i
\(569\) −0.111898 0.562550i −0.00469101 0.0235833i 0.978369 0.206868i \(-0.0663270\pi\)
−0.983060 + 0.183285i \(0.941327\pi\)
\(570\) −5.16203 + 11.6987i −0.216214 + 0.490005i
\(571\) −8.20064 + 27.0339i −0.343186 + 1.13133i 0.600259 + 0.799805i \(0.295064\pi\)
−0.943446 + 0.331528i \(0.892436\pi\)
\(572\) 0.593545 2.40403i 0.0248174 0.100518i
\(573\) −12.5932 + 10.3350i −0.526088 + 0.431749i
\(574\) −14.6979 + 7.42949i −0.613479 + 0.310101i
\(575\) 3.29813i 0.137541i
\(576\) −6.90320 4.04299i −0.287633 0.168458i
\(577\) 37.4395i 1.55863i 0.626635 + 0.779313i \(0.284432\pi\)
−0.626635 + 0.779313i \(0.715568\pi\)
\(578\) 10.5291 + 20.8299i 0.437953 + 0.866411i
\(579\) −9.79878 + 8.04165i −0.407223 + 0.334200i
\(580\) 28.8779 17.4418i 1.19909 0.724229i
\(581\) 7.99654 26.3611i 0.331752 1.09364i
\(582\) 18.2692 + 8.06125i 0.757283 + 0.334150i
\(583\) −0.614634 3.08997i −0.0254555 0.127974i
\(584\) 14.0020 + 31.1603i 0.579406 + 1.28942i
\(585\) −9.10681 1.81146i −0.376520 0.0748945i
\(586\) 5.23979 + 29.8974i 0.216454 + 1.23505i
\(587\) 4.12885 + 41.9209i 0.170416 + 1.73026i 0.577085 + 0.816684i \(0.304190\pi\)
−0.406669 + 0.913575i \(0.633310\pi\)
\(588\) 0.0935659 + 0.196110i 0.00385859 + 0.00808743i
\(589\) 29.3094 8.89091i 1.20767 0.366344i
\(590\) −13.4472 + 10.5309i −0.553612 + 0.433552i
\(591\) 6.87696 2.84853i 0.282880 0.117173i
\(592\) −19.5145 + 19.7803i −0.802042 + 0.812965i
\(593\) 20.9283 + 8.66880i 0.859424 + 0.355985i 0.768482 0.639871i \(-0.221012\pi\)
0.0909415 + 0.995856i \(0.471012\pi\)
\(594\) 0.468618 0.130538i 0.0192276 0.00535602i
\(595\) −18.4778 + 34.5696i −0.757517 + 1.41721i
\(596\) 5.56016 + 21.8832i 0.227753 + 0.896369i
\(597\) 8.31965 10.1375i 0.340500 0.414901i
\(598\) −8.56250 + 5.44245i −0.350147 + 0.222558i
\(599\) 0.196905 0.131568i 0.00804532 0.00537571i −0.551541 0.834148i \(-0.685960\pi\)
0.559586 + 0.828772i \(0.310960\pi\)
\(600\) −3.52838 + 3.07496i −0.144046 + 0.125535i
\(601\) 6.19674 9.27408i 0.252770 0.378298i −0.683284 0.730153i \(-0.739449\pi\)
0.936055 + 0.351855i \(0.114449\pi\)
\(602\) −2.86358 + 2.73560i −0.116711 + 0.111495i
\(603\) −0.145829 0.272826i −0.00593860 0.0111103i
\(604\) 1.59165 34.7997i 0.0647632 1.41598i
\(605\) −27.9360 2.75146i −1.13576 0.111863i
\(606\) −15.1569 13.0298i −0.615705 0.529298i
\(607\) −29.4853 29.4853i −1.19677 1.19677i −0.975128 0.221644i \(-0.928858\pi\)
−0.221644 0.975128i \(-0.571142\pi\)
\(608\) 9.62661 17.3334i 0.390411 0.702964i
\(609\) −12.1378 + 12.1378i −0.491850 + 0.491850i
\(610\) −39.7712 + 3.00132i −1.61029 + 0.121520i
\(611\) 2.74318 27.8519i 0.110977 1.12677i
\(612\) −3.93684 10.8865i −0.159137 0.440062i
\(613\) −10.3878 + 5.55241i −0.419561 + 0.224260i −0.667647 0.744478i \(-0.732698\pi\)
0.248086 + 0.968738i \(0.420198\pi\)
\(614\) 22.1964 + 0.507337i 0.895773 + 0.0204745i
\(615\) −9.51502 6.35774i −0.383683 0.256369i
\(616\) 2.02142 + 1.56110i 0.0814453 + 0.0628984i
\(617\) −18.4114 27.5546i −0.741216 1.10931i −0.990044 0.140760i \(-0.955045\pi\)
0.248828 0.968548i \(-0.419955\pi\)
\(618\) 5.99796 26.9230i 0.241273 1.08300i
\(619\) −18.8257 15.4499i −0.756670 0.620983i 0.174883 0.984589i \(-0.444045\pi\)
−0.931553 + 0.363606i \(0.881545\pi\)
\(620\) 44.6189 + 6.46445i 1.79194 + 0.259619i
\(621\) −1.75781 0.939570i −0.0705386 0.0377036i
\(622\) 33.9015 + 19.1293i 1.35933 + 0.767016i
\(623\) 6.27946 15.1600i 0.251581 0.607371i
\(624\) 13.8055 + 4.08609i 0.552663 + 0.163575i
\(625\) −11.6854 28.2111i −0.467417 1.12845i
\(626\) −0.244251 + 2.00828i −0.00976225 + 0.0802672i
\(627\) 0.349980 + 1.15373i 0.0139769 + 0.0460755i
\(628\) −5.90794 + 6.56287i −0.235752 + 0.261887i
\(629\) −40.0148 + 3.94111i −1.59549 + 0.157143i
\(630\) 5.50130 7.83937i 0.219177 0.312328i
\(631\) 0.140770 0.707700i 0.00560398 0.0281731i −0.977882 0.209157i \(-0.932928\pi\)
0.983486 + 0.180984i \(0.0579281\pi\)
\(632\) 19.1564 + 11.9950i 0.762002 + 0.477134i
\(633\) 6.65794 1.32435i 0.264630 0.0526381i
\(634\) −45.6472 + 17.6968i −1.81288 + 0.702830i
\(635\) −31.9653 9.69658i −1.26851 0.384797i
\(636\) 18.1106 2.74908i 0.718132 0.109008i
\(637\) −0.248079 0.302285i −0.00982923 0.0119770i
\(638\) 0.992684 3.02204i 0.0393007 0.119644i
\(639\) −8.04864 −0.318399
\(640\) 23.6612 17.0866i 0.935291 0.675408i
\(641\) 6.07689 0.240023 0.120011 0.992773i \(-0.461707\pi\)
0.120011 + 0.992773i \(0.461707\pi\)
\(642\) −1.49975 + 4.56572i −0.0591905 + 0.180195i
\(643\) −4.16057 5.06967i −0.164077 0.199928i 0.684481 0.729031i \(-0.260029\pi\)
−0.848558 + 0.529102i \(0.822529\pi\)
\(644\) −1.57048 10.3461i −0.0618857 0.407695i
\(645\) −2.63333 0.798811i −0.103687 0.0314532i
\(646\) 26.7512 10.3711i 1.05251 0.408045i
\(647\) −10.8820 + 2.16457i −0.427817 + 0.0850980i −0.404302 0.914625i \(-0.632486\pi\)
−0.0235145 + 0.999723i \(0.507486\pi\)
\(648\) 0.633703 + 2.75652i 0.0248942 + 0.108286i
\(649\) −0.314178 + 1.57948i −0.0123326 + 0.0620001i
\(650\) 4.83839 6.89472i 0.189777 0.270433i
\(651\) −22.8292 + 2.24848i −0.894747 + 0.0881249i
\(652\) 3.72798 + 3.35595i 0.145999 + 0.131429i
\(653\) −0.769872 2.53793i −0.0301274 0.0993168i 0.940587 0.339552i \(-0.110275\pi\)
−0.970715 + 0.240235i \(0.922775\pi\)
\(654\) −0.245482 + 2.01840i −0.00959909 + 0.0789256i
\(655\) 10.5875 + 25.5605i 0.413689 + 0.998733i
\(656\) 13.7923 + 11.1638i 0.538500 + 0.435874i
\(657\) 4.62204 11.1586i 0.180323 0.435338i
\(658\) 25.1403 + 14.1857i 0.980069 + 0.553015i
\(659\) −3.57036 1.90840i −0.139081 0.0743406i 0.400388 0.916346i \(-0.368875\pi\)
−0.539470 + 0.842005i \(0.681375\pi\)
\(660\) −0.254465 + 1.75637i −0.00990505 + 0.0683666i
\(661\) −10.8360 8.89286i −0.421471 0.345892i 0.399629 0.916677i \(-0.369139\pi\)
−0.821100 + 0.570785i \(0.806639\pi\)
\(662\) −10.1049 + 45.3578i −0.392738 + 1.76288i
\(663\) 11.5748 + 17.3229i 0.449527 + 0.672765i
\(664\) −29.4384 + 3.78259i −1.14243 + 0.146793i
\(665\) 19.7356 + 13.1869i 0.765315 + 0.511367i
\(666\) 9.82137 + 0.224485i 0.380570 + 0.00869860i
\(667\) −11.4941 + 6.14375i −0.445055 + 0.237887i
\(668\) −21.0019 + 7.59482i −0.812588 + 0.293852i
\(669\) 0.163980 1.66492i 0.00633985 0.0643696i
\(670\) 1.12539 0.0849272i 0.0434776 0.00328102i
\(671\) −2.65912 + 2.65912i −0.102654 + 0.102654i
\(672\) −9.60422 + 11.3262i −0.370491 + 0.436917i
\(673\) 17.6319 + 17.6319i 0.679659 + 0.679659i 0.959923 0.280264i \(-0.0904220\pi\)
−0.280264 + 0.959923i \(0.590422\pi\)
\(674\) −34.2718 29.4621i −1.32010 1.13484i
\(675\) 1.64675 + 0.162191i 0.0633836 + 0.00624274i
\(676\) 0.0888833 + 0.00406529i 0.00341859 + 0.000156357i
\(677\) −2.15182 4.02577i −0.0827012 0.154723i 0.837171 0.546941i \(-0.184208\pi\)
−0.919872 + 0.392218i \(0.871708\pi\)
\(678\) 3.96141 3.78437i 0.152137 0.145338i
\(679\) 20.5933 30.8200i 0.790297 1.18276i
\(680\) 42.1343 + 2.89319i 1.61577 + 0.110949i
\(681\) 10.6971 7.14758i 0.409914 0.273896i
\(682\) 3.58754 2.28029i 0.137374 0.0873170i
\(683\) −1.53192 + 1.86665i −0.0586173 + 0.0714254i −0.801494 0.598003i \(-0.795961\pi\)
0.742876 + 0.669429i \(0.233461\pi\)
\(684\) −6.79411 + 1.72628i −0.259779 + 0.0660058i
\(685\) −9.00982 + 16.8562i −0.344248 + 0.644042i
\(686\) 25.4230 7.08179i 0.970654 0.270384i
\(687\) −22.3434 9.25495i −0.852455 0.353098i
\(688\) 3.95308 + 1.60618i 0.150710 + 0.0612351i
\(689\) −30.4573 + 12.6158i −1.16033 + 0.480625i
\(690\) 5.72487 4.48333i 0.217942 0.170677i
\(691\) 42.5086 12.8948i 1.61710 0.490543i 0.653287 0.757111i \(-0.273390\pi\)
0.963816 + 0.266568i \(0.0858896\pi\)
\(692\) −35.4809 + 16.9283i −1.34878 + 0.643517i
\(693\) −0.0885087 0.898644i −0.00336217 0.0341367i
\(694\) −7.13667 40.7207i −0.270904 1.54574i
\(695\) −48.6692 9.68091i −1.84613 0.367218i
\(696\) 17.2890 + 6.56856i 0.655340 + 0.248981i
\(697\) 5.00935 + 25.1837i 0.189742 + 0.953900i
\(698\) 6.19067 + 2.73162i 0.234320 + 0.103393i
\(699\) −7.86249 + 25.9192i −0.297387 + 0.980353i
\(700\) 4.49157 + 7.43659i 0.169765 + 0.281076i
\(701\) 5.13187 4.21162i 0.193828 0.159071i −0.532474 0.846447i \(-0.678737\pi\)
0.726302 + 0.687376i \(0.241237\pi\)
\(702\) −2.29634 4.54289i −0.0866696 0.171460i
\(703\) 24.3477i 0.918291i
\(704\) 0.641524 2.67601i 0.0241784 0.100856i
\(705\) 20.0581i 0.755431i
\(706\) 46.8207 23.6669i 1.76212 0.890715i
\(707\) −28.6803 + 23.5373i −1.07863 + 0.885212i
\(708\) −9.09054 2.24442i −0.341643 0.0843504i
\(709\) −9.16345 + 30.2079i −0.344141 + 1.13448i 0.598627 + 0.801028i \(0.295713\pi\)
−0.942767 + 0.333452i \(0.891787\pi\)
\(710\) 11.8538 26.8642i 0.444863 1.00819i
\(711\) −1.55897 7.83745i −0.0584658 0.293927i
\(712\) −17.6720 + 0.523534i −0.662285 + 0.0196203i
\(713\) −17.0825 3.39792i −0.639744 0.127253i
\(714\) −21.1663 + 3.70958i −0.792128 + 0.138827i
\(715\) −0.313059 3.17854i −0.0117077 0.118871i
\(716\) 31.6647 + 11.2092i 1.18337 + 0.418906i
\(717\) 3.35226 1.01690i 0.125192 0.0379767i
\(718\) −17.4398 22.2693i −0.650847 0.831082i
\(719\) 28.5626 11.8310i 1.06520 0.441222i 0.219908 0.975521i \(-0.429424\pi\)
0.845296 + 0.534299i \(0.179424\pi\)
\(720\) −10.1338 1.94458i −0.377665 0.0724703i
\(721\) −47.3036 19.5938i −1.76168 0.729711i
\(722\) 2.54830 + 9.14815i 0.0948378 + 0.340459i
\(723\) −1.63667 + 3.06199i −0.0608683 + 0.113877i
\(724\) −6.12276 + 10.2940i −0.227551 + 0.382573i
\(725\) 6.86417 8.36401i 0.254929 0.310632i
\(726\) −8.25506 12.9875i −0.306374 0.482012i
\(727\) 39.9487 26.6929i 1.48162 0.989985i 0.488537 0.872543i \(-0.337531\pi\)
0.993080 0.117442i \(-0.0374694\pi\)
\(728\) 11.8948 23.9324i 0.440851 0.886996i
\(729\) 0.555570 0.831470i 0.0205767 0.0307952i
\(730\) 30.4372 + 31.8611i 1.12653 + 1.17923i
\(731\) 2.91064 + 5.44542i 0.107654 + 0.201406i
\(732\) −14.7384 16.1512i −0.544747 0.596966i
\(733\) 26.7390 + 2.63356i 0.987627 + 0.0972728i 0.578913 0.815390i \(-0.303477\pi\)
0.408714 + 0.912662i \(0.365977\pi\)
\(734\) 13.3749 15.5584i 0.493677 0.574269i
\(735\) 0.198177 + 0.198177i 0.00730987 + 0.00730987i
\(736\) −9.47441 + 6.11243i −0.349231 + 0.225307i
\(737\) 0.0752441 0.0752441i 0.00277165 0.00277165i
\(738\) −0.472090 6.25576i −0.0173779 0.230278i
\(739\) −2.19455 + 22.2817i −0.0807279 + 0.819645i 0.866520 + 0.499143i \(0.166352\pi\)
−0.947248 + 0.320502i \(0.896148\pi\)
\(740\) −15.2138 + 32.4504i −0.559271 + 1.19290i
\(741\) 11.1261 5.94705i 0.408729 0.218470i
\(742\) 0.776994 33.9941i 0.0285244 1.24796i
\(743\) −7.81164 5.21957i −0.286581 0.191488i 0.403967 0.914773i \(-0.367631\pi\)
−0.690549 + 0.723286i \(0.742631\pi\)
\(744\) 12.2914 + 21.4431i 0.450626 + 0.786141i
\(745\) 16.1796 + 24.2145i 0.592776 + 0.887152i
\(746\) 39.6604 + 8.83562i 1.45207 + 0.323495i
\(747\) 8.11168 + 6.65709i 0.296791 + 0.243570i
\(748\) 3.19039 2.38292i 0.116652 0.0871281i
\(749\) 7.86732 + 4.20517i 0.287466 + 0.153654i
\(750\) 5.99750 10.6289i 0.218998 0.388114i
\(751\) 14.3533 34.6520i 0.523761 1.26447i −0.411790 0.911279i \(-0.635096\pi\)
0.935551 0.353192i \(-0.114904\pi\)
\(752\) 2.83908 30.9719i 0.103531 1.12943i
\(753\) 1.65147 + 3.98700i 0.0601829 + 0.145294i
\(754\) −33.0414 4.01856i −1.20330 0.146347i
\(755\) −13.0433 42.9980i −0.474695 1.56486i
\(756\) 5.24305 0.275352i 0.190688 0.0100144i
\(757\) −17.4238 + 1.71610i −0.633280 + 0.0623727i −0.409564 0.912282i \(-0.634319\pi\)
−0.223717 + 0.974654i \(0.571819\pi\)
\(758\) 13.3864 + 9.39394i 0.486216 + 0.341203i
\(759\) 0.133755 0.672432i 0.00485500 0.0244077i
\(760\) 4.24429 25.2193i 0.153957 0.914799i
\(761\) 3.10452 0.617528i 0.112539 0.0223854i −0.138500 0.990363i \(-0.544228\pi\)
0.251038 + 0.967977i \(0.419228\pi\)
\(762\) −6.61941 17.0741i −0.239796 0.618531i
\(763\) 3.61175 + 1.09561i 0.130754 + 0.0396638i
\(764\) 19.3206 26.2357i 0.698994 0.949176i
\(765\) −9.47262 11.5424i −0.342483 0.417317i
\(766\) 12.5324 + 4.11666i 0.452814 + 0.148741i
\(767\) 16.8514 0.608469
\(768\) 15.3725 + 4.43702i 0.554706 + 0.160107i
\(769\) −13.2897 −0.479239 −0.239619 0.970867i \(-0.577023\pi\)
−0.239619 + 0.970867i \(0.577023\pi\)
\(770\) 3.12978 + 1.02807i 0.112789 + 0.0370492i
\(771\) −18.6816 22.7636i −0.672800 0.819810i
\(772\) 15.0334 20.4141i 0.541063 0.734719i