Properties

Label 483.2.y.a.16.1
Level $483$
Weight $2$
Character 483.16
Analytic conductor $3.857$
Analytic rank $0$
Dimension $320$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 483 = 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 483.y (of order \(33\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.85677441763\)
Analytic rank: \(0\)
Dimension: \(320\)
Relative dimension: \(16\) over \(\Q(\zeta_{33})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{33}]$

Embedding invariants

Embedding label 16.1
Character \(\chi\) \(=\) 483.16
Dual form 483.2.y.a.151.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.843018 - 2.43574i) q^{2} +(0.888835 + 0.458227i) q^{3} +(-3.65004 + 2.87043i) q^{4} +(-0.918397 - 0.0876963i) q^{5} +(0.366817 - 2.55126i) q^{6} +(-0.232163 - 2.63555i) q^{7} +(5.73200 + 3.68373i) q^{8} +(0.580057 + 0.814576i) q^{9} +O(q^{10})\) \(q+(-0.843018 - 2.43574i) q^{2} +(0.888835 + 0.458227i) q^{3} +(-3.65004 + 2.87043i) q^{4} +(-0.918397 - 0.0876963i) q^{5} +(0.366817 - 2.55126i) q^{6} +(-0.232163 - 2.63555i) q^{7} +(5.73200 + 3.68373i) q^{8} +(0.580057 + 0.814576i) q^{9} +(0.560620 + 2.31091i) q^{10} +(0.363092 - 1.04908i) q^{11} +(-4.55959 + 0.878789i) q^{12} +(-6.64560 - 1.95132i) q^{13} +(-6.22378 + 2.78730i) q^{14} +(-0.776119 - 0.498782i) q^{15} +(1.95094 - 8.04188i) q^{16} +(0.740192 - 0.296328i) q^{17} +(1.49510 - 2.09957i) q^{18} +(-3.45864 - 1.38463i) q^{19} +(3.60391 - 2.31610i) q^{20} +(1.00132 - 2.44895i) q^{21} -2.86139 q^{22} +(-0.794994 + 4.72948i) q^{23} +(3.40682 + 5.90079i) q^{24} +(-4.07388 - 0.785176i) q^{25} +(0.849441 + 17.8320i) q^{26} +(0.142315 + 0.989821i) q^{27} +(8.41254 + 8.95345i) q^{28} +(-0.378493 + 2.63248i) q^{29} +(-0.560620 + 2.31091i) q^{30} +(-0.114849 + 2.41098i) q^{31} +(-7.66703 + 0.732112i) q^{32} +(0.803447 - 0.766086i) q^{33} +(-1.34577 - 1.55311i) q^{34} +(-0.0179093 + 2.44084i) q^{35} +(-4.45541 - 1.30823i) q^{36} +(-3.26105 - 4.57950i) q^{37} +(-0.456904 + 9.59160i) q^{38} +(-5.01270 - 4.77960i) q^{39} +(-4.94120 - 3.88580i) q^{40} +(-2.72824 - 5.97402i) q^{41} +(-6.80914 - 0.374451i) q^{42} +(-2.79788 + 1.79809i) q^{43} +(1.68602 + 4.87143i) q^{44} +(-0.461287 - 0.798973i) q^{45} +(12.1900 - 2.05064i) q^{46} +(1.23563 - 2.14017i) q^{47} +(5.41907 - 6.25394i) q^{48} +(-6.89220 + 1.22375i) q^{49} +(1.52187 + 10.5848i) q^{50} +(0.793694 + 0.0757886i) q^{51} +(29.8579 - 11.9533i) q^{52} +(4.45647 + 4.24923i) q^{53} +(2.29097 - 1.18108i) q^{54} +(-0.425463 + 0.931635i) q^{55} +(8.37788 - 15.9622i) q^{56} +(-2.43968 - 2.81555i) q^{57} +(6.73111 - 1.29731i) q^{58} +(-1.07771 - 4.44240i) q^{59} +(4.26458 - 0.407218i) q^{60} +(10.4442 - 5.38438i) q^{61} +(5.96934 - 1.75276i) q^{62} +(2.01218 - 1.71788i) q^{63} +(1.37144 + 3.00303i) q^{64} +(5.93218 + 2.37489i) q^{65} +(-2.54331 - 1.31117i) q^{66} +(-5.49665 - 1.05939i) q^{67} +(-1.85114 + 3.20628i) q^{68} +(-2.87379 + 3.83944i) q^{69} +(5.96034 - 2.01405i) q^{70} +(-2.54648 + 2.93880i) q^{71} +(0.324206 + 6.80592i) q^{72} +(12.2141 - 9.60530i) q^{73} +(-8.40535 + 11.8037i) q^{74} +(-3.26122 - 2.56465i) q^{75} +(16.5986 - 4.87380i) q^{76} +(-2.84921 - 0.713386i) q^{77} +(-7.41606 + 16.2389i) q^{78} +(-5.12996 + 4.89141i) q^{79} +(-2.49698 + 7.21455i) q^{80} +(-0.327068 + 0.945001i) q^{81} +(-12.2512 + 11.6815i) q^{82} +(6.61490 - 14.4846i) q^{83} +(3.37466 + 11.8130i) q^{84} +(-0.705777 + 0.207235i) q^{85} +(6.73833 + 5.29908i) q^{86} +(-1.54269 + 2.16640i) q^{87} +(5.94579 - 4.67582i) q^{88} +(-0.511054 - 10.7283i) q^{89} +(-1.55722 + 1.79712i) q^{90} +(-3.59994 + 17.9678i) q^{91} +(-10.6739 - 19.5448i) q^{92} +(-1.20686 + 2.09034i) q^{93} +(-6.25456 - 1.20547i) q^{94} +(3.05497 + 1.57495i) q^{95} +(-7.15020 - 2.86251i) q^{96} +(2.71656 + 5.94843i) q^{97} +(8.79100 + 15.7560i) q^{98} +(1.06517 - 0.312763i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 320q + 2q^{2} - 16q^{3} + 18q^{4} - 2q^{5} - 18q^{6} + 2q^{7} - 12q^{8} + 16q^{9} + O(q^{10}) \) \( 320q + 2q^{2} - 16q^{3} + 18q^{4} - 2q^{5} - 18q^{6} + 2q^{7} - 12q^{8} + 16q^{9} + 8q^{10} - 6q^{11} - 18q^{12} - 10q^{14} + 18q^{15} + 8q^{16} + 4q^{17} + 2q^{18} + 18q^{20} + 4q^{21} - 176q^{22} - 18q^{23} - 6q^{24} + 8q^{25} - 14q^{26} + 32q^{27} + 46q^{28} + 34q^{29} - 8q^{30} + 52q^{31} - 8q^{32} - 5q^{33} - 24q^{34} - 12q^{35} - 14q^{36} - 30q^{37} - 157q^{38} + 88q^{40} - 28q^{41} - 45q^{42} + 64q^{43} - 71q^{44} - 2q^{45} + 4q^{46} + 36q^{47} + 60q^{48} + 28q^{49} + 210q^{50} - 26q^{51} - 198q^{52} - 10q^{53} - 2q^{54} - 4q^{55} + 44q^{57} + 31q^{58} + 10q^{59} - 2q^{60} - 34q^{61} - 8q^{62} + 2q^{63} + 84q^{64} + 38q^{65} - 12q^{67} - 22q^{68} + 8q^{69} - 336q^{70} - 144q^{71} + 6q^{72} - 16q^{73} - 68q^{74} - 30q^{75} + 8q^{76} + 98q^{77} + 16q^{78} + 26q^{79} + 225q^{80} + 16q^{81} - 122q^{82} + 44q^{84} - 240q^{85} - 26q^{86} - 16q^{87} + 43q^{88} + 68q^{89} - 16q^{90} + 40q^{91} - 222q^{92} - 8q^{93} + 137q^{94} - 49q^{95} + 30q^{96} - 8q^{97} + 137q^{98} - 10q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{3}\right)\) \(e\left(\frac{4}{11}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.843018 2.43574i −0.596104 1.72233i −0.687183 0.726484i \(-0.741153\pi\)
0.0910794 0.995844i \(-0.470968\pi\)
\(3\) 0.888835 + 0.458227i 0.513169 + 0.264557i
\(4\) −3.65004 + 2.87043i −1.82502 + 1.43521i
\(5\) −0.918397 0.0876963i −0.410720 0.0392190i −0.112348 0.993669i \(-0.535837\pi\)
−0.298371 + 0.954450i \(0.596443\pi\)
\(6\) 0.366817 2.55126i 0.149752 1.04155i
\(7\) −0.232163 2.63555i −0.0877496 0.996143i
\(8\) 5.73200 + 3.68373i 2.02657 + 1.30240i
\(9\) 0.580057 + 0.814576i 0.193352 + 0.271525i
\(10\) 0.560620 + 2.31091i 0.177284 + 0.730773i
\(11\) 0.363092 1.04908i 0.109476 0.316311i −0.876934 0.480610i \(-0.840415\pi\)
0.986411 + 0.164299i \(0.0525363\pi\)
\(12\) −4.55959 + 0.878789i −1.31624 + 0.253685i
\(13\) −6.64560 1.95132i −1.84316 0.541200i −0.999994 0.00354496i \(-0.998872\pi\)
−0.843165 0.537655i \(-0.819310\pi\)
\(14\) −6.22378 + 2.78730i −1.66338 + 0.744938i
\(15\) −0.776119 0.498782i −0.200393 0.128785i
\(16\) 1.95094 8.04188i 0.487735 2.01047i
\(17\) 0.740192 0.296328i 0.179523 0.0718701i −0.280160 0.959953i \(-0.590387\pi\)
0.459683 + 0.888083i \(0.347963\pi\)
\(18\) 1.49510 2.09957i 0.352398 0.494873i
\(19\) −3.45864 1.38463i −0.793465 0.317656i −0.0607168 0.998155i \(-0.519339\pi\)
−0.732749 + 0.680499i \(0.761763\pi\)
\(20\) 3.60391 2.31610i 0.805860 0.517895i
\(21\) 1.00132 2.44895i 0.218506 0.534405i
\(22\) −2.86139 −0.610051
\(23\) −0.794994 + 4.72948i −0.165768 + 0.986165i
\(24\) 3.40682 + 5.90079i 0.695414 + 1.20449i
\(25\) −4.07388 0.785176i −0.814776 0.157035i
\(26\) 0.849441 + 17.8320i 0.166589 + 3.49714i
\(27\) 0.142315 + 0.989821i 0.0273885 + 0.190491i
\(28\) 8.41254 + 8.95345i 1.58982 + 1.69204i
\(29\) −0.378493 + 2.63248i −0.0702844 + 0.488839i 0.924027 + 0.382327i \(0.124877\pi\)
−0.994311 + 0.106512i \(0.966032\pi\)
\(30\) −0.560620 + 2.31091i −0.102355 + 0.421912i
\(31\) −0.114849 + 2.41098i −0.0206275 + 0.433025i 0.964806 + 0.262963i \(0.0846997\pi\)
−0.985433 + 0.170062i \(0.945603\pi\)
\(32\) −7.66703 + 0.732112i −1.35535 + 0.129420i
\(33\) 0.803447 0.766086i 0.139862 0.133358i
\(34\) −1.34577 1.55311i −0.230798 0.266355i
\(35\) −0.0179093 + 2.44084i −0.00302722 + 0.412577i
\(36\) −4.45541 1.30823i −0.742569 0.218038i
\(37\) −3.26105 4.57950i −0.536113 0.752866i 0.454323 0.890837i \(-0.349881\pi\)
−0.990436 + 0.137971i \(0.955942\pi\)
\(38\) −0.456904 + 9.59160i −0.0741197 + 1.55596i
\(39\) −5.01270 4.77960i −0.802674 0.765348i
\(40\) −4.94120 3.88580i −0.781273 0.614400i
\(41\) −2.72824 5.97402i −0.426080 0.932985i −0.993947 0.109864i \(-0.964958\pi\)
0.567867 0.823120i \(-0.307769\pi\)
\(42\) −6.80914 0.374451i −1.05067 0.0577790i
\(43\) −2.79788 + 1.79809i −0.426672 + 0.274205i −0.736304 0.676651i \(-0.763431\pi\)
0.309632 + 0.950857i \(0.399794\pi\)
\(44\) 1.68602 + 4.87143i 0.254177 + 0.734396i
\(45\) −0.461287 0.798973i −0.0687647 0.119104i
\(46\) 12.1900 2.05064i 1.79731 0.302350i
\(47\) 1.23563 2.14017i 0.180235 0.312176i −0.761725 0.647900i \(-0.775648\pi\)
0.941961 + 0.335724i \(0.108981\pi\)
\(48\) 5.41907 6.25394i 0.782175 0.902678i
\(49\) −6.89220 + 1.22375i −0.984600 + 0.174822i
\(50\) 1.52187 + 10.5848i 0.215225 + 1.49692i
\(51\) 0.793694 + 0.0757886i 0.111139 + 0.0106125i
\(52\) 29.8579 11.9533i 4.14054 1.65762i
\(53\) 4.45647 + 4.24923i 0.612143 + 0.583677i 0.931403 0.363990i \(-0.118586\pi\)
−0.319260 + 0.947667i \(0.603434\pi\)
\(54\) 2.29097 1.18108i 0.311762 0.160724i
\(55\) −0.425463 + 0.931635i −0.0573695 + 0.125622i
\(56\) 8.37788 15.9622i 1.11954 2.13303i
\(57\) −2.43968 2.81555i −0.323144 0.372928i
\(58\) 6.73111 1.29731i 0.883838 0.170346i
\(59\) −1.07771 4.44240i −0.140306 0.578351i −0.997944 0.0640960i \(-0.979584\pi\)
0.857637 0.514255i \(-0.171932\pi\)
\(60\) 4.26458 0.407218i 0.550555 0.0525717i
\(61\) 10.4442 5.38438i 1.33725 0.689399i 0.366707 0.930336i \(-0.380485\pi\)
0.970541 + 0.240937i \(0.0774547\pi\)
\(62\) 5.96934 1.75276i 0.758107 0.222600i
\(63\) 2.01218 1.71788i 0.253511 0.216433i
\(64\) 1.37144 + 3.00303i 0.171430 + 0.375379i
\(65\) 5.93218 + 2.37489i 0.735796 + 0.294568i
\(66\) −2.54331 1.31117i −0.313059 0.161393i
\(67\) −5.49665 1.05939i −0.671523 0.129425i −0.157918 0.987452i \(-0.550478\pi\)
−0.513605 + 0.858027i \(0.671690\pi\)
\(68\) −1.85114 + 3.20628i −0.224484 + 0.388818i
\(69\) −2.87379 + 3.83944i −0.345964 + 0.462215i
\(70\) 5.96034 2.01405i 0.712397 0.240725i
\(71\) −2.54648 + 2.93880i −0.302212 + 0.348771i −0.886461 0.462803i \(-0.846844\pi\)
0.584249 + 0.811574i \(0.301389\pi\)
\(72\) 0.324206 + 6.80592i 0.0382080 + 0.802086i
\(73\) 12.2141 9.60530i 1.42956 1.12422i 0.457571 0.889173i \(-0.348720\pi\)
0.971985 0.235042i \(-0.0755228\pi\)
\(74\) −8.40535 + 11.8037i −0.977103 + 1.37215i
\(75\) −3.26122 2.56465i −0.376573 0.296141i
\(76\) 16.5986 4.87380i 1.90400 0.559063i
\(77\) −2.84921 0.713386i −0.324697 0.0812979i
\(78\) −7.41606 + 16.2389i −0.839704 + 1.83869i
\(79\) −5.12996 + 4.89141i −0.577165 + 0.550326i −0.921429 0.388547i \(-0.872977\pi\)
0.344263 + 0.938873i \(0.388129\pi\)
\(80\) −2.49698 + 7.21455i −0.279171 + 0.806611i
\(81\) −0.327068 + 0.945001i −0.0363409 + 0.105000i
\(82\) −12.2512 + 11.6815i −1.35292 + 1.29000i
\(83\) 6.61490 14.4846i 0.726080 1.58989i −0.0791028 0.996866i \(-0.525206\pi\)
0.805183 0.593027i \(-0.202067\pi\)
\(84\) 3.37466 + 11.8130i 0.368206 + 1.28890i
\(85\) −0.705777 + 0.207235i −0.0765523 + 0.0224778i
\(86\) 6.73833 + 5.29908i 0.726612 + 0.571414i
\(87\) −1.54269 + 2.16640i −0.165394 + 0.232263i
\(88\) 5.94579 4.67582i 0.633823 0.498444i
\(89\) −0.511054 10.7283i −0.0541716 1.13720i −0.848322 0.529481i \(-0.822387\pi\)
0.794150 0.607721i \(-0.207916\pi\)
\(90\) −1.55722 + 1.79712i −0.164145 + 0.189434i
\(91\) −3.59994 + 17.9678i −0.377376 + 1.88354i
\(92\) −10.6739 19.5448i −1.11283 2.03768i
\(93\) −1.20686 + 2.09034i −0.125145 + 0.216758i
\(94\) −6.25456 1.20547i −0.645109 0.124334i
\(95\) 3.05497 + 1.57495i 0.313434 + 0.161586i
\(96\) −7.15020 2.86251i −0.729764 0.292154i
\(97\) 2.71656 + 5.94843i 0.275825 + 0.603972i 0.995954 0.0898685i \(-0.0286447\pi\)
−0.720129 + 0.693840i \(0.755917\pi\)
\(98\) 8.79100 + 15.7560i 0.888025 + 1.59159i
\(99\) 1.06517 0.312763i 0.107054 0.0314339i
\(100\) 17.1236 8.82784i 1.71236 0.882784i
\(101\) −15.1554 + 1.44717i −1.50802 + 0.143999i −0.816073 0.577949i \(-0.803853\pi\)
−0.691948 + 0.721948i \(0.743247\pi\)
\(102\) −0.484497 1.99712i −0.0479724 0.197745i
\(103\) 3.95875 0.762986i 0.390067 0.0751793i 0.00955298 0.999954i \(-0.496959\pi\)
0.380514 + 0.924775i \(0.375747\pi\)
\(104\) −30.9044 35.6656i −3.03043 3.49730i
\(105\) −1.13437 + 2.16130i −0.110704 + 0.210921i
\(106\) 6.59314 14.4370i 0.640383 1.40224i
\(107\) 9.25271 4.77010i 0.894493 0.461143i 0.0512563 0.998686i \(-0.483677\pi\)
0.843237 + 0.537542i \(0.180647\pi\)
\(108\) −3.36066 3.20439i −0.323380 0.308342i
\(109\) −17.4084 + 6.96927i −1.66742 + 0.667535i −0.997211 0.0746367i \(-0.976220\pi\)
−0.670210 + 0.742171i \(0.733796\pi\)
\(110\) 2.62789 + 0.250933i 0.250560 + 0.0239256i
\(111\) −0.800086 5.56472i −0.0759408 0.528180i
\(112\) −21.6477 3.27476i −2.04551 0.309435i
\(113\) 12.1151 13.9816i 1.13970 1.31528i 0.197468 0.980309i \(-0.436728\pi\)
0.942228 0.334971i \(-0.108727\pi\)
\(114\) −4.80124 + 8.31599i −0.449677 + 0.778864i
\(115\) 1.14488 4.27382i 0.106760 0.398536i
\(116\) −6.17482 10.6951i −0.573317 0.993015i
\(117\) −2.26533 6.54523i −0.209429 0.605106i
\(118\) −9.91200 + 6.37005i −0.912473 + 0.586411i
\(119\) −0.952832 1.88201i −0.0873460 0.172524i
\(120\) −2.61134 5.71803i −0.238381 0.521982i
\(121\) 7.67784 + 6.03792i 0.697986 + 0.548902i
\(122\) −21.9196 20.9003i −1.98451 1.89223i
\(123\) 0.312495 6.56007i 0.0281767 0.591502i
\(124\) −6.50133 9.12984i −0.583837 0.819884i
\(125\) 8.09860 + 2.37796i 0.724361 + 0.212692i
\(126\) −5.88062 3.45295i −0.523887 0.307613i
\(127\) −5.07056 5.85174i −0.449940 0.519258i 0.484784 0.874634i \(-0.338898\pi\)
−0.934724 + 0.355376i \(0.884353\pi\)
\(128\) −4.98980 + 4.75777i −0.441040 + 0.420531i
\(129\) −3.31078 + 0.316141i −0.291498 + 0.0278347i
\(130\) 0.783673 16.4513i 0.0687326 1.44288i
\(131\) −1.27308 + 5.24772i −0.111230 + 0.458495i 0.888770 + 0.458353i \(0.151560\pi\)
−1.00000 0.000142181i \(0.999955\pi\)
\(132\) −0.733626 + 5.10248i −0.0638540 + 0.444114i
\(133\) −2.84628 + 9.43685i −0.246804 + 0.818279i
\(134\) 2.05337 + 14.2815i 0.177384 + 1.23373i
\(135\) −0.0438979 0.921530i −0.00377813 0.0793126i
\(136\) 5.33437 + 1.02812i 0.457419 + 0.0881602i
\(137\) 5.69773 + 9.86876i 0.486790 + 0.843145i 0.999885 0.0151869i \(-0.00483433\pi\)
−0.513095 + 0.858332i \(0.671501\pi\)
\(138\) 11.7745 + 3.76309i 1.00232 + 0.320336i
\(139\) 7.96884 0.675909 0.337954 0.941163i \(-0.390265\pi\)
0.337954 + 0.941163i \(0.390265\pi\)
\(140\) −6.94087 8.96057i −0.586611 0.757306i
\(141\) 2.07895 1.33606i 0.175080 0.112517i
\(142\) 9.30487 + 3.72511i 0.780848 + 0.312604i
\(143\) −4.46007 + 6.26329i −0.372970 + 0.523763i
\(144\) 7.68238 3.07556i 0.640198 0.256297i
\(145\) 0.578466 2.38447i 0.0480390 0.198019i
\(146\) −33.6927 21.6530i −2.78843 1.79202i
\(147\) −6.68679 2.07047i −0.551517 0.170770i
\(148\) 25.0481 + 7.35478i 2.05894 + 0.604559i
\(149\) −17.8272 + 3.43591i −1.46046 + 0.281481i −0.856753 0.515726i \(-0.827522\pi\)
−0.603706 + 0.797207i \(0.706310\pi\)
\(150\) −3.49756 + 10.1055i −0.285575 + 0.825113i
\(151\) −3.89802 16.0679i −0.317217 1.30759i −0.877617 0.479363i \(-0.840868\pi\)
0.560400 0.828222i \(-0.310647\pi\)
\(152\) −14.7243 20.6774i −1.19430 1.67716i
\(153\) 0.670735 + 0.431055i 0.0542257 + 0.0348488i
\(154\) 0.664310 + 7.54133i 0.0535317 + 0.607697i
\(155\) 0.316911 2.20416i 0.0254549 0.177043i
\(156\) 32.0160 + 3.05716i 2.56334 + 0.244769i
\(157\) −6.23006 + 4.89937i −0.497213 + 0.391013i −0.835034 0.550198i \(-0.814552\pi\)
0.337822 + 0.941210i \(0.390310\pi\)
\(158\) 16.2388 + 8.37170i 1.29189 + 0.666017i
\(159\) 2.01395 + 5.81894i 0.159717 + 0.461472i
\(160\) 7.10558 0.561745
\(161\) 12.6493 + 0.997231i 0.996907 + 0.0785928i
\(162\) 2.57750 0.202508
\(163\) −5.68187 16.4167i −0.445039 1.28585i −0.915102 0.403222i \(-0.867890\pi\)
0.470064 0.882633i \(-0.344231\pi\)
\(164\) 27.1062 + 13.9742i 2.11664 + 1.09120i
\(165\) −0.805067 + 0.633111i −0.0626744 + 0.0492877i
\(166\) −40.8572 3.90139i −3.17114 0.302807i
\(167\) 1.75490 12.2056i 0.135798 0.944497i −0.802002 0.597321i \(-0.796232\pi\)
0.937800 0.347175i \(-0.112859\pi\)
\(168\) 14.7608 10.3488i 1.13882 0.798425i
\(169\) 29.4201 + 18.9071i 2.26308 + 1.45439i
\(170\) 1.09975 + 1.54439i 0.0843472 + 0.118449i
\(171\) −0.878320 3.62049i −0.0671668 0.276865i
\(172\) 5.05110 14.5942i 0.385142 1.11280i
\(173\) 8.65046 1.66724i 0.657682 0.126758i 0.150518 0.988607i \(-0.451906\pi\)
0.507164 + 0.861849i \(0.330694\pi\)
\(174\) 6.57731 + 1.93127i 0.498625 + 0.146409i
\(175\) −1.12356 + 10.9192i −0.0849332 + 0.825413i
\(176\) −7.72824 4.96664i −0.582538 0.374375i
\(177\) 1.07771 4.44240i 0.0810060 0.333911i
\(178\) −25.7006 + 10.2890i −1.92634 + 0.771191i
\(179\) −1.20372 + 1.69039i −0.0899701 + 0.126345i −0.857108 0.515137i \(-0.827741\pi\)
0.767138 + 0.641483i \(0.221680\pi\)
\(180\) 3.97711 + 1.59220i 0.296436 + 0.118675i
\(181\) −3.74211 + 2.40491i −0.278149 + 0.178756i −0.672276 0.740300i \(-0.734683\pi\)
0.394127 + 0.919056i \(0.371047\pi\)
\(182\) 46.7997 6.37867i 3.46903 0.472819i
\(183\) 11.7505 0.868620
\(184\) −21.9790 + 24.1808i −1.62032 + 1.78263i
\(185\) 2.59333 + 4.49178i 0.190666 + 0.330243i
\(186\) 6.10892 + 1.17740i 0.447928 + 0.0863310i
\(187\) −0.0421158 0.884119i −0.00307981 0.0646532i
\(188\) 1.63311 + 11.3585i 0.119106 + 0.828404i
\(189\) 2.57568 0.604878i 0.187353 0.0439984i
\(190\) 1.26077 8.76883i 0.0914657 0.636158i
\(191\) −5.44635 + 22.4501i −0.394084 + 1.62444i 0.336550 + 0.941666i \(0.390740\pi\)
−0.730634 + 0.682770i \(0.760775\pi\)
\(192\) −0.157086 + 3.29763i −0.0113367 + 0.237986i
\(193\) 2.45609 0.234528i 0.176793 0.0168817i −0.00628386 0.999980i \(-0.502000\pi\)
0.183077 + 0.983099i \(0.441394\pi\)
\(194\) 12.1987 11.6315i 0.875817 0.835090i
\(195\) 4.18449 + 4.82916i 0.299658 + 0.345824i
\(196\) 21.6441 24.2503i 1.54601 1.73216i
\(197\) 18.0457 + 5.29870i 1.28570 + 0.377517i 0.852001 0.523540i \(-0.175389\pi\)
0.433702 + 0.901056i \(0.357207\pi\)
\(198\) −1.65977 2.33082i −0.117955 0.165644i
\(199\) 0.720786 15.1312i 0.0510952 1.07262i −0.817131 0.576451i \(-0.804437\pi\)
0.868227 0.496168i \(-0.165260\pi\)
\(200\) −20.4591 19.5077i −1.44668 1.37940i
\(201\) −4.40018 3.46034i −0.310364 0.244073i
\(202\) 16.3012 + 35.6947i 1.14695 + 2.51147i
\(203\) 7.02589 + 0.386371i 0.493121 + 0.0271179i
\(204\) −3.11456 + 2.00161i −0.218063 + 0.140141i
\(205\) 1.98171 + 5.72578i 0.138409 + 0.399906i
\(206\) −5.19573 8.99927i −0.362004 0.627009i
\(207\) −4.31366 + 2.09578i −0.299820 + 0.145667i
\(208\) −28.6575 + 49.6362i −1.98704 + 3.44165i
\(209\) −2.70840 + 3.12566i −0.187344 + 0.216206i
\(210\) 6.22065 + 0.941031i 0.429266 + 0.0649373i
\(211\) −2.61234 18.1692i −0.179841 1.25082i −0.857129 0.515102i \(-0.827754\pi\)
0.677289 0.735717i \(-0.263155\pi\)
\(212\) −28.4634 2.71793i −1.95487 0.186668i
\(213\) −3.61004 + 1.44524i −0.247356 + 0.0990263i
\(214\) −19.4189 18.5159i −1.32745 1.26572i
\(215\) 2.72725 1.40599i 0.185997 0.0958879i
\(216\) −2.83049 + 6.19790i −0.192590 + 0.421714i
\(217\) 6.38091 0.257051i 0.433164 0.0174498i
\(218\) 31.6509 + 36.5271i 2.14367 + 2.47393i
\(219\) 15.2578 2.94069i 1.03102 0.198714i
\(220\) −1.12123 4.62177i −0.0755932 0.311600i
\(221\) −5.49726 + 0.524924i −0.369785 + 0.0353102i
\(222\) −12.8797 + 6.63996i −0.864431 + 0.445645i
\(223\) −13.2767 + 3.89838i −0.889071 + 0.261055i −0.694207 0.719776i \(-0.744245\pi\)
−0.194864 + 0.980830i \(0.562426\pi\)
\(224\) 3.70952 + 20.0368i 0.247853 + 1.33877i
\(225\) −1.72350 3.77393i −0.114900 0.251595i
\(226\) −44.2689 17.7226i −2.94472 1.17889i
\(227\) 16.9534 + 8.74009i 1.12524 + 0.580100i 0.917362 0.398055i \(-0.130315\pi\)
0.207876 + 0.978155i \(0.433345\pi\)
\(228\) 16.9868 + 3.27393i 1.12498 + 0.216821i
\(229\) 1.33264 2.30819i 0.0880630 0.152530i −0.818629 0.574322i \(-0.805266\pi\)
0.906692 + 0.421793i \(0.138599\pi\)
\(230\) −11.3751 + 0.814283i −0.750050 + 0.0536922i
\(231\) −2.20558 1.93967i −0.145117 0.127621i
\(232\) −11.8669 + 13.6951i −0.779098 + 0.899127i
\(233\) 0.290394 + 6.09612i 0.0190243 + 0.399370i 0.988216 + 0.153064i \(0.0489140\pi\)
−0.969192 + 0.246307i \(0.920783\pi\)
\(234\) −14.0328 + 11.0355i −0.917350 + 0.721412i
\(235\) −1.32248 + 1.85717i −0.0862693 + 0.121148i
\(236\) 16.6853 + 13.1214i 1.08612 + 0.854134i
\(237\) −6.80106 + 1.99697i −0.441776 + 0.129717i
\(238\) −3.78084 + 3.90742i −0.245075 + 0.253281i
\(239\) 9.95380 21.7958i 0.643858 1.40985i −0.252971 0.967474i \(-0.581408\pi\)
0.896829 0.442378i \(-0.145865\pi\)
\(240\) −5.52530 + 5.26836i −0.356657 + 0.340071i
\(241\) −0.113684 + 0.328469i −0.00732303 + 0.0211585i −0.948603 0.316468i \(-0.897503\pi\)
0.941280 + 0.337627i \(0.109624\pi\)
\(242\) 8.23425 23.7913i 0.529317 1.52936i
\(243\) −0.723734 + 0.690079i −0.0464276 + 0.0442686i
\(244\) −22.6665 + 49.6326i −1.45107 + 3.17740i
\(245\) 6.43710 0.519473i 0.411251 0.0331879i
\(246\) −16.2421 + 4.76910i −1.03556 + 0.304067i
\(247\) 20.2829 + 15.9506i 1.29057 + 1.01491i
\(248\) −9.53972 + 13.3967i −0.605773 + 0.850689i
\(249\) 12.5168 9.84332i 0.793220 0.623795i
\(250\) −1.03516 21.7308i −0.0654695 1.37437i
\(251\) −8.88940 + 10.2589i −0.561094 + 0.647537i −0.963432 0.267955i \(-0.913652\pi\)
0.402338 + 0.915491i \(0.368198\pi\)
\(252\) −2.41351 + 12.0462i −0.152037 + 0.758837i
\(253\) 4.67297 + 2.55125i 0.293787 + 0.160396i
\(254\) −9.97875 + 17.2837i −0.626122 + 1.08448i
\(255\) −0.722280 0.139208i −0.0452309 0.00871755i
\(256\) 21.6639 + 11.1685i 1.35400 + 0.698033i
\(257\) 12.3196 + 4.93203i 0.768476 + 0.307651i 0.722573 0.691294i \(-0.242959\pi\)
0.0459031 + 0.998946i \(0.485383\pi\)
\(258\) 3.56109 + 7.79769i 0.221703 + 0.485463i
\(259\) −11.3124 + 9.65784i −0.702918 + 0.600109i
\(260\) −28.4696 + 8.35944i −1.76561 + 0.518430i
\(261\) −2.36390 + 1.21868i −0.146322 + 0.0754341i
\(262\) 13.8553 1.32302i 0.855983 0.0817365i
\(263\) −2.58499 10.6555i −0.159397 0.657045i −0.994297 0.106643i \(-0.965990\pi\)
0.834900 0.550402i \(-0.185525\pi\)
\(264\) 7.42741 1.43152i 0.457126 0.0881037i
\(265\) −3.72016 4.29330i −0.228528 0.263735i
\(266\) 25.3852 1.02263i 1.55647 0.0627013i
\(267\) 4.46177 9.76991i 0.273056 0.597909i
\(268\) 23.1039 11.9109i 1.41130 0.727574i
\(269\) −13.1551 12.5434i −0.802081 0.764783i 0.173403 0.984851i \(-0.444524\pi\)
−0.975485 + 0.220068i \(0.929372\pi\)
\(270\) −2.20760 + 0.883790i −0.134350 + 0.0537857i
\(271\) 9.99258 + 0.954176i 0.607006 + 0.0579621i 0.394033 0.919096i \(-0.371079\pi\)
0.212973 + 0.977058i \(0.431685\pi\)
\(272\) −0.938966 6.53065i −0.0569332 0.395979i
\(273\) −11.4331 + 14.3208i −0.691962 + 0.866737i
\(274\) 19.2344 22.1977i 1.16200 1.34101i
\(275\) −2.30291 + 3.98876i −0.138871 + 0.240531i
\(276\) −0.531368 22.2631i −0.0319846 1.34008i
\(277\) 4.31019 + 7.46547i 0.258974 + 0.448557i 0.965967 0.258664i \(-0.0832821\pi\)
−0.706993 + 0.707220i \(0.749949\pi\)
\(278\) −6.71788 19.4100i −0.402911 1.16414i
\(279\) −2.03054 + 1.30495i −0.121566 + 0.0781254i
\(280\) −9.09405 + 13.9249i −0.543473 + 0.832172i
\(281\) 1.34747 + 2.95054i 0.0803831 + 0.176015i 0.945556 0.325459i \(-0.105519\pi\)
−0.865173 + 0.501473i \(0.832792\pi\)
\(282\) −5.00690 3.93747i −0.298156 0.234473i
\(283\) −1.71919 1.63924i −0.102195 0.0974428i 0.637259 0.770649i \(-0.280068\pi\)
−0.739454 + 0.673207i \(0.764916\pi\)
\(284\) 0.859171 18.0362i 0.0509824 1.07025i
\(285\) 1.99369 + 2.79974i 0.118096 + 0.165842i
\(286\) 19.0157 + 5.58350i 1.12442 + 0.330159i
\(287\) −15.1114 + 8.57735i −0.891997 + 0.506305i
\(288\) −5.04367 5.82071i −0.297201 0.342989i
\(289\) −11.8434 + 11.2927i −0.696671 + 0.664274i
\(290\) −6.29560 + 0.601157i −0.369690 + 0.0353012i
\(291\) −0.311156 + 6.53198i −0.0182403 + 0.382911i
\(292\) −17.0108 + 70.1195i −0.995482 + 4.10343i
\(293\) −1.36280 + 9.47848i −0.0796156 + 0.553738i 0.910503 + 0.413503i \(0.135695\pi\)
−0.990118 + 0.140235i \(0.955214\pi\)
\(294\) 0.593950 + 18.0327i 0.0346399 + 1.05169i
\(295\) 0.600188 + 4.17440i 0.0349443 + 0.243043i
\(296\) −1.82267 38.2625i −0.105940 2.22396i
\(297\) 1.09008 + 0.210096i 0.0632529 + 0.0121910i
\(298\) 23.3976 + 40.5258i 1.35539 + 2.34760i
\(299\) 14.5120 29.8790i 0.839249 1.72794i
\(300\) 19.2652 1.11228
\(301\) 5.38850 + 6.95648i 0.310588 + 0.400965i
\(302\) −35.8511 + 23.0401i −2.06300 + 1.32581i
\(303\) −14.1338 5.65832i −0.811966 0.325062i
\(304\) −17.8826 + 25.1126i −1.02564 + 1.44031i
\(305\) −10.0642 + 4.02908i −0.576272 + 0.230704i
\(306\) 0.484497 1.99712i 0.0276969 0.114168i
\(307\) −15.2196 9.78107i −0.868631 0.558235i 0.0287029 0.999588i \(-0.490862\pi\)
−0.897334 + 0.441353i \(0.854499\pi\)
\(308\) 12.4475 5.57455i 0.709259 0.317639i
\(309\) 3.86830 + 1.13583i 0.220060 + 0.0646154i
\(310\) −5.63593 + 1.08624i −0.320100 + 0.0616941i
\(311\) −4.32223 + 12.4883i −0.245091 + 0.708144i 0.753616 + 0.657315i \(0.228308\pi\)
−0.998707 + 0.0508296i \(0.983813\pi\)
\(312\) −11.1260 45.8621i −0.629887 2.59643i
\(313\) −3.52706 4.95306i −0.199361 0.279963i 0.702778 0.711410i \(-0.251943\pi\)
−0.902139 + 0.431446i \(0.858003\pi\)
\(314\) 17.1856 + 11.0445i 0.969842 + 0.623280i
\(315\) −1.99864 + 1.40124i −0.112610 + 0.0789507i
\(316\) 4.68415 32.5790i 0.263504 1.83271i
\(317\) −4.46058 0.425934i −0.250531 0.0239228i −0.0309652 0.999520i \(-0.509858\pi\)
−0.219566 + 0.975598i \(0.570464\pi\)
\(318\) 12.4756 9.81094i 0.699598 0.550170i
\(319\) 2.62427 + 1.35290i 0.146931 + 0.0757480i
\(320\) −0.996171 2.87825i −0.0556876 0.160899i
\(321\) 10.4099 0.581025
\(322\) −8.23461 31.6512i −0.458897 1.76385i
\(323\) −2.97036 −0.165275
\(324\) −1.51874 4.38812i −0.0843746 0.243784i
\(325\) 25.5413 + 13.1674i 1.41677 + 0.730398i
\(326\) −35.1969 + 27.6791i −1.94937 + 1.53300i
\(327\) −18.6667 1.78245i −1.03227 0.0985699i
\(328\) 6.36840 44.2932i 0.351636 2.44568i
\(329\) −5.92739 2.75969i −0.326788 0.152146i
\(330\) 2.22078 + 1.42721i 0.122250 + 0.0785653i
\(331\) −16.8423 23.6517i −0.925735 1.30001i −0.953811 0.300407i \(-0.902877\pi\)
0.0280758 0.999606i \(-0.491062\pi\)
\(332\) 17.4323 + 71.8571i 0.956724 + 3.94367i
\(333\) 1.83876 5.31274i 0.100763 0.291137i
\(334\) −31.2090 + 6.01505i −1.70768 + 0.329129i
\(335\) 4.95520 + 1.45498i 0.270732 + 0.0794940i
\(336\) −17.7406 12.8303i −0.967831 0.699948i
\(337\) 24.6929 + 15.8692i 1.34511 + 0.864449i 0.997323 0.0731254i \(-0.0232973\pi\)
0.347786 + 0.937574i \(0.386934\pi\)
\(338\) 21.2512 87.5987i 1.15591 4.76474i
\(339\) 17.1751 6.87588i 0.932824 0.373447i
\(340\) 1.98126 2.78230i 0.107449 0.150891i
\(341\) 2.48762 + 0.995893i 0.134712 + 0.0539307i
\(342\) −8.07812 + 5.19149i −0.436815 + 0.280724i
\(343\) 4.82538 + 17.8806i 0.260546 + 0.965461i
\(344\) −22.6611 −1.22180
\(345\) 2.97599 3.27411i 0.160222 0.176272i
\(346\) −11.3535 19.6648i −0.610365 1.05718i
\(347\) −5.52402 1.06467i −0.296545 0.0571543i 0.0388088 0.999247i \(-0.487644\pi\)
−0.335354 + 0.942092i \(0.608856\pi\)
\(348\) −0.587619 12.3356i −0.0314997 0.661260i
\(349\) −2.92024 20.3107i −0.156317 1.08721i −0.905347 0.424673i \(-0.860389\pi\)
0.749030 0.662536i \(-0.230520\pi\)
\(350\) 27.5435 6.46837i 1.47226 0.345749i
\(351\) 0.985695 6.85566i 0.0526125 0.365928i
\(352\) −2.01579 + 8.30919i −0.107442 + 0.442881i
\(353\) 1.20287 25.2513i 0.0640221 1.34399i −0.707015 0.707199i \(-0.749959\pi\)
0.771037 0.636791i \(-0.219738\pi\)
\(354\) −11.7291 + 1.11999i −0.623393 + 0.0595268i
\(355\) 2.59640 2.47567i 0.137803 0.131395i
\(356\) 32.6603 + 37.6920i 1.73099 + 1.99767i
\(357\) 0.0154775 2.10941i 0.000819156 0.111642i
\(358\) 5.13209 + 1.50692i 0.271240 + 0.0796431i
\(359\) 17.6975 + 24.8527i 0.934041 + 1.31168i 0.950146 + 0.311807i \(0.100934\pi\)
−0.0161047 + 0.999870i \(0.505127\pi\)
\(360\) 0.299104 6.27897i 0.0157642 0.330931i
\(361\) −3.70598 3.53365i −0.195052 0.185981i
\(362\) 9.01240 + 7.08743i 0.473681 + 0.372507i
\(363\) 4.05760 + 8.88491i 0.212969 + 0.466337i
\(364\) −38.4353 75.9167i −2.01456 3.97911i
\(365\) −12.0598 + 7.75035i −0.631237 + 0.405672i
\(366\) −9.90586 28.6211i −0.517788 1.49605i
\(367\) −11.9469 20.6926i −0.623623 1.08015i −0.988805 0.149210i \(-0.952327\pi\)
0.365183 0.930936i \(-0.381007\pi\)
\(368\) 36.4829 + 15.6202i 1.90180 + 0.814258i
\(369\) 3.28375 5.68763i 0.170945 0.296086i
\(370\) 8.75459 10.1033i 0.455130 0.525248i
\(371\) 10.1644 12.7317i 0.527710 0.660999i
\(372\) −1.59508 11.0940i −0.0827010 0.575198i
\(373\) 13.5360 + 1.29253i 0.700866 + 0.0669246i 0.439404 0.898289i \(-0.355190\pi\)
0.261461 + 0.965214i \(0.415796\pi\)
\(374\) −2.11798 + 0.847911i −0.109518 + 0.0438444i
\(375\) 6.10868 + 5.82461i 0.315451 + 0.300782i
\(376\) 14.9664 7.71574i 0.771835 0.397909i
\(377\) 7.65214 16.7558i 0.394105 0.862970i
\(378\) −3.64467 5.76376i −0.187461 0.296456i
\(379\) 0.198020 + 0.228528i 0.0101716 + 0.0117387i 0.760813 0.648972i \(-0.224801\pi\)
−0.750641 + 0.660710i \(0.770255\pi\)
\(380\) −15.6716 + 3.02045i −0.803934 + 0.154946i
\(381\) −1.82547 7.52470i −0.0935218 0.385502i
\(382\) 59.2741 5.65999i 3.03273 0.289590i
\(383\) −24.1576 + 12.4541i −1.23440 + 0.636375i −0.946938 0.321418i \(-0.895841\pi\)
−0.287459 + 0.957793i \(0.592810\pi\)
\(384\) −6.61525 + 1.94241i −0.337583 + 0.0991233i
\(385\) 2.55414 + 0.905036i 0.130171 + 0.0461249i
\(386\) −2.64178 5.78469i −0.134463 0.294433i
\(387\) −3.08760 1.23609i −0.156952 0.0628340i
\(388\) −26.9901 13.9144i −1.37021 0.706394i
\(389\) 3.84263 + 0.740607i 0.194829 + 0.0375502i 0.285732 0.958310i \(-0.407763\pi\)
−0.0909031 + 0.995860i \(0.528975\pi\)
\(390\) 8.23498 14.2634i 0.416995 0.722256i
\(391\) 0.813030 + 3.73630i 0.0411167 + 0.188953i
\(392\) −44.0141 18.3745i −2.22305 0.928050i
\(393\) −3.53620 + 4.08100i −0.178378 + 0.205859i
\(394\) −2.30660 48.4216i −0.116205 2.43944i
\(395\) 5.14030 4.04237i 0.258636 0.203394i
\(396\) −2.99017 + 4.19910i −0.150261 + 0.211013i
\(397\) −13.1013 10.3030i −0.657535 0.517091i 0.232726 0.972542i \(-0.425235\pi\)
−0.890261 + 0.455451i \(0.849478\pi\)
\(398\) −37.4632 + 11.0002i −1.87786 + 0.551390i
\(399\) −6.85409 + 7.08357i −0.343134 + 0.354622i
\(400\) −14.2622 + 31.2298i −0.713109 + 1.56149i
\(401\) −1.92850 + 1.83882i −0.0963048 + 0.0918264i −0.736702 0.676217i \(-0.763618\pi\)
0.640398 + 0.768044i \(0.278770\pi\)
\(402\) −4.71905 + 13.6348i −0.235365 + 0.680042i
\(403\) 5.46785 15.7983i 0.272373 0.786970i
\(404\) 51.1639 48.7847i 2.54550 2.42713i
\(405\) 0.383251 0.839203i 0.0190439 0.0417004i
\(406\) −4.98185 17.4390i −0.247245 0.865481i
\(407\) −5.98835 + 1.75834i −0.296831 + 0.0871576i
\(408\) 4.27027 + 3.35818i 0.211410 + 0.166255i
\(409\) −19.0005 + 26.6824i −0.939512 + 1.31936i 0.00810979 + 0.999967i \(0.497419\pi\)
−0.947622 + 0.319393i \(0.896521\pi\)
\(410\) 12.2759 9.65386i 0.606263 0.476770i
\(411\) 0.542218 + 11.3826i 0.0267456 + 0.561460i
\(412\) −12.2595 + 14.1482i −0.603983 + 0.697033i
\(413\) −11.4579 + 3.87173i −0.563808 + 0.190515i
\(414\) 8.74128 + 8.74018i 0.429610 + 0.429556i
\(415\) −7.34536 + 12.7225i −0.360569 + 0.624524i
\(416\) 52.3806 + 10.0955i 2.56817 + 0.494974i
\(417\) 7.08299 + 3.65154i 0.346856 + 0.178816i
\(418\) 9.89651 + 3.96196i 0.484054 + 0.193786i
\(419\) 4.45759 + 9.76075i 0.217767 + 0.476844i 0.986714 0.162470i \(-0.0519459\pi\)
−0.768946 + 0.639313i \(0.779219\pi\)
\(420\) −2.06332 11.1450i −0.100680 0.543819i
\(421\) −2.96155 + 0.869590i −0.144337 + 0.0423812i −0.353103 0.935584i \(-0.614874\pi\)
0.208766 + 0.977966i \(0.433055\pi\)
\(422\) −42.0532 + 21.6799i −2.04712 + 1.05536i
\(423\) 2.46007 0.234908i 0.119613 0.0114216i
\(424\) 9.89143 + 40.7730i 0.480370 + 1.98011i
\(425\) −3.24812 + 0.626025i −0.157557 + 0.0303667i
\(426\) 6.56356 + 7.57475i 0.318005 + 0.366998i
\(427\) −16.6156 26.2762i −0.804083 1.27160i
\(428\) −20.0806 + 43.9703i −0.970630 + 2.12538i
\(429\) −6.83427 + 3.52331i −0.329962 + 0.170107i
\(430\) −5.72375 5.45758i −0.276024 0.263188i
\(431\) −12.5158 + 5.01055i −0.602863 + 0.241350i −0.652957 0.757395i \(-0.726472\pi\)
0.0500946 + 0.998744i \(0.484048\pi\)
\(432\) 8.23767 + 0.786602i 0.396335 + 0.0378454i
\(433\) 2.36997 + 16.4835i 0.113893 + 0.792145i 0.964070 + 0.265648i \(0.0855859\pi\)
−0.850177 + 0.526497i \(0.823505\pi\)
\(434\) −6.00533 15.3255i −0.288265 0.735649i
\(435\) 1.60679 1.85433i 0.0770396 0.0889084i
\(436\) 43.5366 75.4076i 2.08502 3.61137i
\(437\) 9.29817 15.2568i 0.444792 0.729831i
\(438\) −20.0253 34.6849i −0.956847 1.65731i
\(439\) 4.85989 + 14.0417i 0.231950 + 0.670175i 0.999571 + 0.0292715i \(0.00931873\pi\)
−0.767622 + 0.640903i \(0.778560\pi\)
\(440\) −5.87065 + 3.77284i −0.279872 + 0.179863i
\(441\) −4.99471 4.90437i −0.237843 0.233542i
\(442\) 5.91286 + 12.9474i 0.281246 + 0.615843i
\(443\) −18.4387 14.5003i −0.876048 0.688932i 0.0752632 0.997164i \(-0.476020\pi\)
−0.951311 + 0.308232i \(0.900263\pi\)
\(444\) 18.8935 + 18.0149i 0.896645 + 0.854949i
\(445\) −0.471485 + 9.89770i −0.0223505 + 0.469196i
\(446\) 20.6879 + 29.0521i 0.979600 + 1.37566i
\(447\) −17.4199 5.11493i −0.823931 0.241928i
\(448\) 7.59623 4.31168i 0.358888 0.203708i
\(449\) −1.25364 1.44678i −0.0591631 0.0682779i 0.725397 0.688331i \(-0.241656\pi\)
−0.784560 + 0.620053i \(0.787111\pi\)
\(450\) −7.73938 + 7.37948i −0.364838 + 0.347872i
\(451\) −7.25785 + 0.693041i −0.341759 + 0.0326340i
\(452\) −4.08759 + 85.8091i −0.192264 + 4.03612i
\(453\) 3.89802 16.0679i 0.183145 0.754935i
\(454\) 6.99656 48.6622i 0.328365 2.28383i
\(455\) 4.88188 16.1859i 0.228866 0.758806i
\(456\) −3.61255 25.1258i −0.169173 1.17663i
\(457\) 1.55726 + 32.6910i 0.0728457 + 1.52922i 0.679158 + 0.733992i \(0.262345\pi\)
−0.606312 + 0.795227i \(0.707352\pi\)
\(458\) −6.74559 1.30011i −0.315201 0.0607500i
\(459\) 0.398652 + 0.690486i 0.0186075 + 0.0322291i
\(460\) 8.08884 + 18.8859i 0.377144 + 0.880561i
\(461\) 4.91340 0.228840 0.114420 0.993432i \(-0.463499\pi\)
0.114420 + 0.993432i \(0.463499\pi\)
\(462\) −2.86517 + 7.00740i −0.133300 + 0.326014i
\(463\) −36.0234 + 23.1508i −1.67415 + 1.07591i −0.783257 + 0.621698i \(0.786443\pi\)
−0.890893 + 0.454213i \(0.849921\pi\)
\(464\) 20.4317 + 8.17960i 0.948516 + 0.379728i
\(465\) 1.29169 1.81392i 0.0599006 0.0841187i
\(466\) 14.6038 5.84646i 0.676506 0.270832i
\(467\) −8.70260 + 35.8726i −0.402708 + 1.65999i 0.304144 + 0.952626i \(0.401629\pi\)
−0.706853 + 0.707361i \(0.749886\pi\)
\(468\) 27.0561 + 17.3879i 1.25067 + 0.803757i
\(469\) −1.51596 + 14.7326i −0.0700003 + 0.680289i
\(470\) 5.63845 + 1.65560i 0.260083 + 0.0763671i
\(471\) −7.78252 + 1.49996i −0.358600 + 0.0691144i
\(472\) 10.1871 29.4338i 0.468902 1.35480i
\(473\) 0.870459 + 3.58808i 0.0400237 + 0.164980i
\(474\) 10.5975 + 14.8821i 0.486760 + 0.683559i
\(475\) 13.0029 + 8.35645i 0.596614 + 0.383420i
\(476\) 8.88006 + 4.13440i 0.407017 + 0.189500i
\(477\) −0.876318 + 6.09493i −0.0401239 + 0.279068i
\(478\) −61.4801 5.87064i −2.81203 0.268517i
\(479\) −3.97239 + 3.12392i −0.181503 + 0.142735i −0.704777 0.709429i \(-0.748953\pi\)
0.523274 + 0.852165i \(0.324710\pi\)
\(480\) 6.31569 + 3.25597i 0.288271 + 0.148614i
\(481\) 12.7355 + 36.7969i 0.580691 + 1.67780i
\(482\) 0.895901 0.0408072
\(483\) 10.7862 + 6.68263i 0.490790 + 0.304070i
\(484\) −45.3559 −2.06163
\(485\) −1.97322 5.70125i −0.0895995 0.258881i
\(486\) 2.29097 + 1.18108i 0.103921 + 0.0535748i
\(487\) 3.80989 2.99613i 0.172643 0.135768i −0.528099 0.849183i \(-0.677095\pi\)
0.700742 + 0.713415i \(0.252853\pi\)
\(488\) 79.7010 + 7.61052i 3.60789 + 0.344512i
\(489\) 2.47231 17.1953i 0.111802 0.777599i
\(490\) −6.69189 15.2412i −0.302309 0.688526i
\(491\) −12.0500 7.74406i −0.543808 0.349484i 0.239718 0.970842i \(-0.422945\pi\)
−0.783527 + 0.621358i \(0.786581\pi\)
\(492\) 17.6896 + 24.8415i 0.797508 + 1.11994i
\(493\) 0.499920 + 2.06070i 0.0225153 + 0.0928092i
\(494\) 21.7527 62.8504i 0.978702 2.82777i
\(495\) −1.00568 + 0.193829i −0.0452020 + 0.00871196i
\(496\) 19.1647 + 5.62728i 0.860522 + 0.252672i
\(497\) 8.33653 + 6.02909i 0.373945 + 0.270442i
\(498\) −34.5276 22.1896i −1.54722 0.994338i
\(499\) −4.01556 + 16.5524i −0.179761 + 0.740986i 0.808536 + 0.588446i \(0.200260\pi\)
−0.988297 + 0.152539i \(0.951255\pi\)
\(500\) −36.3860 + 14.5668i −1.62723 + 0.651446i
\(501\) 7.15274 10.0446i 0.319561 0.448760i
\(502\) 32.4820 + 13.0038i 1.44974 + 0.580389i
\(503\) −2.97907 + 1.91453i −0.132830 + 0.0853648i −0.605368 0.795945i \(-0.706974\pi\)
0.472538 + 0.881310i \(0.343338\pi\)
\(504\) 17.8620 2.43455i 0.795639 0.108443i
\(505\) 14.0456 0.625021
\(506\) 2.27479 13.5329i 0.101127 0.601610i
\(507\) 17.4859 + 30.2864i 0.776574 + 1.34507i
\(508\) 35.3048 + 6.80444i 1.56640 + 0.301898i
\(509\) 0.332491 + 6.97984i 0.0147374 + 0.309376i 0.994186 + 0.107680i \(0.0343423\pi\)
−0.979448 + 0.201696i \(0.935355\pi\)
\(510\) 0.269820 + 1.87664i 0.0119478 + 0.0830991i
\(511\) −28.1509 29.9609i −1.24532 1.32539i
\(512\) 6.97817 48.5342i 0.308394 2.14493i
\(513\) 0.878320 3.62049i 0.0387788 0.159848i
\(514\) 1.62749 34.1652i 0.0717854 1.50696i
\(515\) −3.70262 + 0.353557i −0.163157 + 0.0155796i
\(516\) 11.1770 10.6573i 0.492041 0.469161i
\(517\) −1.79658 2.07336i −0.0790133 0.0911862i
\(518\) 33.0605 + 19.4123i 1.45260 + 0.852928i
\(519\) 8.45281 + 2.48197i 0.371037 + 0.108946i
\(520\) 25.2548 + 35.4654i 1.10750 + 1.55526i
\(521\) 1.61235 33.8475i 0.0706385 1.48288i −0.634009 0.773326i \(-0.718592\pi\)
0.704647 0.709558i \(-0.251105\pi\)
\(522\) 4.96119 + 4.73048i 0.217145 + 0.207048i
\(523\) −25.9651 20.4192i −1.13537 0.892869i −0.140116 0.990135i \(-0.544748\pi\)
−0.995258 + 0.0972665i \(0.968990\pi\)
\(524\) −10.4164 22.8087i −0.455041 0.996402i
\(525\) −6.00212 + 9.19052i −0.261954 + 0.401107i
\(526\) −23.7748 + 15.2791i −1.03663 + 0.666201i
\(527\) 0.629431 + 1.81862i 0.0274184 + 0.0792204i
\(528\) −4.59329 7.95581i −0.199897 0.346232i
\(529\) −21.7360 7.51982i −0.945042 0.326949i
\(530\) −7.32119 + 12.6807i −0.318012 + 0.550814i
\(531\) 2.99354 3.45472i 0.129908 0.149922i
\(532\) −16.6987 42.6150i −0.723982 1.84759i
\(533\) 6.47356 + 45.0246i 0.280401 + 1.95023i
\(534\) −27.5583 2.63150i −1.19256 0.113876i
\(535\) −8.91598 + 3.56942i −0.385471 + 0.154319i
\(536\) −27.6043 26.3206i −1.19232 1.13688i
\(537\) −1.84449 + 0.950899i −0.0795955 + 0.0410343i
\(538\) −19.4624 + 42.6167i −0.839083 + 1.83734i
\(539\) −1.21868 + 7.67484i −0.0524922 + 0.330579i
\(540\) 2.80541 + 3.23762i 0.120726 + 0.139325i
\(541\) 23.5010 4.52945i 1.01039 0.194736i 0.342912 0.939367i \(-0.388587\pi\)
0.667476 + 0.744631i \(0.267375\pi\)
\(542\) −6.09980 25.1437i −0.262009 1.08002i
\(543\) −4.42812 + 0.422834i −0.190029 + 0.0181455i
\(544\) −5.45813 + 2.81386i −0.234015 + 0.120643i
\(545\) 16.5990 4.87390i 0.711023 0.208775i
\(546\) 44.5201 + 15.7753i 1.90529 + 0.675120i
\(547\) −4.42004 9.67853i −0.188987 0.413824i 0.791293 0.611437i \(-0.209408\pi\)
−0.980280 + 0.197613i \(0.936681\pi\)
\(548\) −49.1245 19.6665i −2.09850 0.840111i
\(549\) 10.4442 + 5.38438i 0.445749 + 0.229800i
\(550\) 11.6570 + 2.24670i 0.497055 + 0.0957994i
\(551\) 4.95408 8.58071i 0.211051 0.365551i
\(552\) −30.6160 + 11.4214i −1.30311 + 0.486127i
\(553\) 14.0825 + 12.3846i 0.598849 + 0.526648i
\(554\) 14.5504 16.7920i 0.618186 0.713425i
\(555\) 0.246791 + 5.18079i 0.0104757 + 0.219912i
\(556\) −29.0866 + 22.8740i −1.23355 + 0.970073i
\(557\) 8.00590 11.2427i 0.339221 0.476369i −0.609365 0.792890i \(-0.708575\pi\)
0.948585 + 0.316521i \(0.102515\pi\)
\(558\) 4.89031 + 3.84578i 0.207023 + 0.162805i
\(559\) 22.1022 6.48980i 0.934824 0.274489i
\(560\) 19.5940 + 4.90595i 0.827997 + 0.207314i
\(561\) 0.367693 0.805135i 0.0155240 0.0339928i
\(562\) 6.05081 5.76944i 0.255238 0.243369i
\(563\) 0.613849 1.77360i 0.0258707 0.0747484i −0.931326 0.364186i \(-0.881347\pi\)
0.957197 + 0.289438i \(0.0934684\pi\)
\(564\) −3.75320 + 10.8442i −0.158038 + 0.456622i
\(565\) −12.3526 + 11.7782i −0.519680 + 0.495514i
\(566\) −2.54346 + 5.56940i −0.106910 + 0.234099i
\(567\) 2.56653 + 0.642608i 0.107784 + 0.0269870i
\(568\) −25.4222 + 7.46462i −1.06669 + 0.313209i
\(569\) 33.0017 + 25.9528i 1.38350 + 1.08800i 0.985325 + 0.170689i \(0.0545992\pi\)
0.398176 + 0.917309i \(0.369643\pi\)
\(570\) 5.13873 7.21633i 0.215238 0.302259i
\(571\) −19.3142 + 15.1889i −0.808276 + 0.635635i −0.934338 0.356387i \(-0.884008\pi\)
0.126063 + 0.992022i \(0.459766\pi\)
\(572\) −1.69887 35.6636i −0.0710331 1.49117i
\(573\) −15.1282 + 17.4588i −0.631988 + 0.729353i
\(574\) 33.6314 + 29.5766i 1.40375 + 1.23450i
\(575\) 6.95219 18.6431i 0.289926 0.777472i
\(576\) −1.65069 + 2.85907i −0.0687786 + 0.119128i
\(577\) 32.0979 + 6.18637i 1.33625 + 0.257542i 0.806814 0.590805i \(-0.201190\pi\)
0.529440 + 0.848347i \(0.322402\pi\)
\(578\) 37.4902 + 19.3275i 1.55939 + 0.803920i
\(579\) 2.29053 + 0.916989i 0.0951911 + 0.0381088i
\(580\) 4.73301 + 10.3639i 0.196528 + 0.430336i
\(581\) −39.7106 14.0711i −1.64747 0.583767i
\(582\) 16.1725 4.74868i 0.670372 0.196839i
\(583\) 6.07591 3.13235i 0.251639 0.129729i
\(584\) 105.395 10.0640i 4.36127 0.416450i
\(585\) 1.50648 + 6.20978i 0.0622851 + 0.256743i
\(586\) 24.2360 4.67110i 1.00118 0.192961i
\(587\) −27.2167 31.4098i −1.12335 1.29642i −0.950240 0.311517i \(-0.899163\pi\)
−0.173113 0.984902i \(-0.555383\pi\)
\(588\) 30.3502 11.6366i 1.25162 0.479886i
\(589\) 3.73553 8.17968i 0.153920 0.337038i
\(590\) 9.66178 4.98099i 0.397769 0.205064i
\(591\) 13.6117 + 12.9787i 0.559909 + 0.533872i
\(592\) −43.1899 + 17.2906i −1.77509 + 0.710641i
\(593\) −36.1601 3.45287i −1.48492 0.141792i −0.679138 0.734011i \(-0.737646\pi\)
−0.805777 + 0.592218i \(0.798252\pi\)
\(594\) −0.407218 2.83227i −0.0167084 0.116209i
\(595\) 0.710033 + 1.81200i 0.0291085 + 0.0742846i
\(596\) 55.2075 63.7128i 2.26139 2.60978i
\(597\) 7.57416 13.1188i 0.309990 0.536918i
\(598\) −85.0112 10.1589i −3.47637 0.415428i
\(599\) −13.6387 23.6229i −0.557262 0.965207i −0.997724 0.0674350i \(-0.978518\pi\)
0.440461 0.897772i \(-0.354815\pi\)
\(600\) −9.24582 26.7140i −0.377459 1.09060i
\(601\) −0.455543 + 0.292760i −0.0185820 + 0.0119419i −0.549899 0.835231i \(-0.685334\pi\)
0.531317 + 0.847173i \(0.321697\pi\)
\(602\) 12.4016 18.9894i 0.505450 0.773951i
\(603\) −2.32541 5.09195i −0.0946982 0.207360i
\(604\) 60.3496 + 47.4594i 2.45559 + 1.93110i
\(605\) −6.52180 6.21853i −0.265149 0.252819i
\(606\) −1.86715 + 39.1963i −0.0758478 + 1.59224i
\(607\) −0.361063 0.507042i −0.0146551 0.0205802i 0.807183 0.590301i \(-0.200991\pi\)
−0.821839 + 0.569721i \(0.807051\pi\)
\(608\) 27.5312 + 8.08388i 1.11654 + 0.327845i
\(609\) 6.06781 + 3.56287i 0.245880 + 0.144375i
\(610\) 18.2980 + 21.1171i 0.740866 + 0.855005i
\(611\) −12.3877 + 11.8116i −0.501152 + 0.477847i
\(612\) −3.68553 + 0.351925i −0.148979 + 0.0142257i
\(613\) 0.794347 16.6754i 0.0320834 0.673513i −0.924347 0.381553i \(-0.875390\pi\)
0.956431 0.291960i \(-0.0943074\pi\)
\(614\) −10.9937 + 45.3167i −0.443670 + 1.82883i
\(615\) −0.862288 + 5.99735i −0.0347708 + 0.241836i
\(616\) −13.7037 14.5848i −0.552139 0.587640i
\(617\) 6.08045 + 42.2905i 0.244790 + 1.70255i 0.627447 + 0.778659i \(0.284100\pi\)
−0.382657 + 0.923890i \(0.624991\pi\)
\(618\) −0.494446 10.3797i −0.0198895 0.417533i
\(619\) 10.5746 + 2.03809i 0.425030 + 0.0819179i 0.397281 0.917697i \(-0.369954\pi\)
0.0277494 + 0.999615i \(0.491166\pi\)
\(620\) 5.17015 + 8.95497i 0.207638 + 0.359640i
\(621\) −4.79448 0.113827i −0.192396 0.00456772i
\(622\) 34.0619 1.36576
\(623\) −28.1564 + 3.83763i −1.12806 + 0.153752i
\(624\) −48.2164 + 30.9868i −1.93020 + 1.24047i
\(625\) 12.0291 + 4.81574i 0.481165 + 0.192629i
\(626\) −9.09099 + 12.7665i −0.363349 + 0.510252i
\(627\) −3.83958 + 1.53713i −0.153338 + 0.0613872i
\(628\) 8.67670 35.7658i 0.346238 1.42721i
\(629\) −3.77084 2.42337i −0.150353 0.0966261i
\(630\) 5.09793 + 3.68689i 0.203106 + 0.146889i
\(631\) −12.9861 3.81307i −0.516970 0.151796i 0.0128317 0.999918i \(-0.495915\pi\)
−0.529802 + 0.848122i \(0.677734\pi\)
\(632\) −47.4235 + 9.14014i −1.88641 + 0.363575i
\(633\) 6.00367 17.3465i 0.238624 0.689460i
\(634\) 2.72289 + 11.2239i 0.108140 + 0.445758i
\(635\) 4.14362 + 5.81889i 0.164434 + 0.230916i
\(636\) −24.0539 15.4585i −0.953797 0.612968i
\(637\) 48.1908 + 5.31633i 1.90939 + 0.210641i
\(638\) 1.08302 7.53255i 0.0428771 0.298216i
\(639\) −3.87098 0.369634i −0.153134 0.0146225i
\(640\) 4.99986 3.93193i 0.197637 0.155423i
\(641\) 1.76454 + 0.909684i 0.0696951 + 0.0359303i 0.492722 0.870187i \(-0.336002\pi\)
−0.423027 + 0.906117i \(0.639032\pi\)
\(642\) −8.77575 25.3559i −0.346351 1.00072i
\(643\) −12.8285 −0.505907 −0.252954 0.967478i \(-0.581402\pi\)
−0.252954 + 0.967478i \(0.581402\pi\)
\(644\) −49.0331 + 32.6690i −1.93217 + 1.28734i
\(645\) 3.06834 0.120816
\(646\) 2.50407 + 7.23502i 0.0985212 + 0.284658i
\(647\) −42.0674 21.6873i −1.65384 0.852614i −0.994950 0.100376i \(-0.967996\pi\)
−0.658891 0.752238i \(-0.728974\pi\)
\(648\) −5.35588 + 4.21191i −0.210399 + 0.165460i
\(649\) −5.05176 0.482385i −0.198299 0.0189353i
\(650\) 10.5407 73.3122i 0.413441 2.87554i
\(651\) 5.78937 + 2.69543i 0.226903 + 0.105642i
\(652\) 67.8620 + 43.6122i 2.65768 + 1.70799i
\(653\) 21.4385 + 30.1061i 0.838951 + 1.17814i 0.982085 + 0.188439i \(0.0603428\pi\)
−0.143133 + 0.989703i \(0.545718\pi\)
\(654\) 11.3948 + 46.9698i 0.445570 + 1.83667i
\(655\) 1.62940 4.70784i 0.0636659 0.183951i
\(656\) −53.3650 + 10.2853i −2.08355 + 0.401572i
\(657\) 14.9091 + 4.37772i 0.581661 + 0.170791i
\(658\) −1.72498 + 16.7640i −0.0672469 + 0.653530i
\(659\) −24.4265 15.6980i −0.951523 0.611507i −0.0298835 0.999553i \(-0.509514\pi\)
−0.921640 + 0.388047i \(0.873150\pi\)
\(660\) 1.12123 4.62177i 0.0436438 0.179902i
\(661\) −19.0701 + 7.63450i −0.741739 + 0.296948i −0.711587 0.702598i \(-0.752023\pi\)
−0.0301520 + 0.999545i \(0.509599\pi\)
\(662\) −43.4110 + 60.9622i −1.68722 + 2.36936i
\(663\) −5.12669 2.05242i −0.199104 0.0797093i
\(664\) 91.2741 58.6583i 3.54212 2.27638i
\(665\) 3.44160 8.41717i 0.133459 0.326404i
\(666\) −14.4906 −0.561498
\(667\) −12.1494 3.88288i −0.470425 0.150346i
\(668\) 28.6298 + 49.5882i 1.10772 + 1.91863i
\(669\) −13.5871 2.61870i −0.525308 0.101245i
\(670\) −0.633374 13.2962i −0.0244694 0.513675i
\(671\) −1.85645 12.9119i −0.0716676 0.498459i
\(672\) −5.88426 + 19.5092i −0.226990 + 0.752586i
\(673\) 1.59142 11.0686i 0.0613447 0.426662i −0.935887 0.352301i \(-0.885399\pi\)
0.997231 0.0743608i \(-0.0236917\pi\)
\(674\) 17.8366 73.5235i 0.687040 2.83202i
\(675\) 0.197411 4.14416i 0.00759833 0.159509i
\(676\) −161.656 + 15.4363i −6.21754 + 0.593703i
\(677\) 14.5880 13.9096i 0.560661 0.534589i −0.355879 0.934532i \(-0.615819\pi\)
0.916540 + 0.399943i \(0.130970\pi\)
\(678\) −31.2268 36.0376i −1.19926 1.38402i
\(679\) 15.0467 8.54062i 0.577438 0.327759i
\(680\) −4.80891 1.41202i −0.184413 0.0541486i
\(681\) 11.0639 + 15.5370i 0.423968 + 0.595380i
\(682\) 0.328628 6.89875i 0.0125838 0.264167i
\(683\) 21.1072 + 20.1257i 0.807644 + 0.770087i 0.976492 0.215555i \(-0.0691561\pi\)
−0.168848 + 0.985642i \(0.554005\pi\)
\(684\) 13.5982 + 10.6938i 0.519942 + 0.408887i
\(685\) −4.36733 9.56311i −0.166867 0.365388i
\(686\) 39.4846 26.8270i 1.50753 1.02426i
\(687\) 2.24217 1.44095i 0.0855440 0.0549758i
\(688\) 9.00150 + 26.0081i 0.343179 + 0.991551i
\(689\) −21.3243 36.9347i −0.812390 1.40710i
\(690\) −10.4837 4.48860i −0.399107 0.170878i
\(691\) 15.4732 26.8003i 0.588627 1.01953i −0.405785 0.913968i \(-0.633002\pi\)
0.994413 0.105564i \(-0.0336647\pi\)
\(692\) −26.7889 + 30.9160i −1.01836 + 1.17525i
\(693\) −1.07160 2.73470i −0.0407066 0.103883i
\(694\) 2.06359 + 14.3526i 0.0783329 + 0.544817i
\(695\) −7.31856 0.698838i −0.277609 0.0265084i
\(696\) −16.8231 + 6.73497i −0.637680 + 0.255288i
\(697\) −3.78969 3.61346i −0.143545 0.136870i
\(698\) −47.0099 + 24.2353i −1.77935 + 0.917318i
\(699\) −2.53529 + 5.55152i −0.0958936 + 0.209978i
\(700\) −27.2417 43.0806i −1.02964 1.62829i
\(701\) −12.7582 14.7238i −0.481872 0.556110i 0.461803 0.886982i \(-0.347203\pi\)
−0.943676 + 0.330872i \(0.892657\pi\)
\(702\) −17.5296 + 3.37855i −0.661611 + 0.127515i
\(703\) 4.93787 + 20.3542i 0.186235 + 0.767672i
\(704\) 3.64839 0.348379i 0.137504 0.0131300i
\(705\) −2.02647 + 1.04472i −0.0763214 + 0.0393464i
\(706\) −62.5196 + 18.3574i −2.35295 + 0.690890i
\(707\) 7.33261 + 39.6068i 0.275771 + 1.48957i
\(708\) 8.81787 + 19.3084i 0.331396 + 0.725656i
\(709\) 17.6388 + 7.06152i 0.662440 + 0.265201i 0.678423 0.734671i \(-0.262664\pi\)
−0.0159832 + 0.999872i \(0.505088\pi\)
\(710\) −8.21889 4.23713i −0.308449 0.159017i
\(711\) −6.96009 1.34145i −0.261024 0.0503082i
\(712\) 36.5910 63.3774i 1.37130 2.37517i
\(713\) −11.3114 2.45989i −0.423614 0.0921237i
\(714\) −5.15103 + 1.74057i −0.192772 + 0.0651393i
\(715\) 4.64538 5.36106i 0.173727 0.200492i
\(716\) −0.458503 9.62516i −0.0171351 0.359709i
\(717\) 18.8347 14.8118i 0.703395 0.553156i
\(718\) 45.6154 64.0579i 1.70235 2.39062i
\(719\) −1.98348 1.55983i −0.0739715 0.0581718i 0.580489 0.814268i \(-0.302862\pi\)
−0.654460 + 0.756097i \(0.727104\pi\)
\(720\) −7.32519 + 2.15087i −0.272994 + 0.0801582i
\(721\) −2.92996 10.2563i −0.109118 0.381966i
\(722\) −5.48283 + 12.0057i −0.204050 + 0.446807i
\(723\) −0.251559 + 0.239861i −0.00935559 + 0.00892054i
\(724\) 6.75576 19.5195i 0.251076 0.725436i
\(725\) 3.60890 10.4272i 0.134031 0.387257i
\(726\) 18.2207 17.3734i 0.676233 0.644787i
\(727\) 9.33215 20.4346i 0.346110 0.757876i −0.653889 0.756591i \(-0.726864\pi\)
0.999999 0.00128529i \(-0.000409121\pi\)
\(728\) −86.8235 + 89.7303i −3.21789 + 3.32563i
\(729\) −0.959493 + 0.281733i −0.0355368 + 0.0104345i
\(730\) 29.0444 + 22.8408i 1.07498 + 0.845376i
\(731\) −1.53814 + 2.16002i −0.0568902 + 0.0798912i
\(732\) −42.8898 + 33.7289i −1.58525 + 1.24666i
\(733\) 0.682229 + 14.3218i 0.0251987 + 0.528986i 0.975812 + 0.218610i \(0.0701521\pi\)
−0.950614 + 0.310377i \(0.899545\pi\)
\(734\) −40.3304 + 46.5438i −1.48862 + 1.71796i
\(735\) 5.95956 + 2.48792i 0.219821 + 0.0917684i
\(736\) 2.63273 36.8431i 0.0970438 1.35805i
\(737\) −3.10718 + 5.38180i −0.114454 + 0.198241i
\(738\) −16.6218 3.20360i −0.611859 0.117926i
\(739\) 12.4687 + 6.42805i 0.458667 + 0.236459i 0.672045 0.740510i \(-0.265416\pi\)
−0.213378 + 0.976970i \(0.568446\pi\)
\(740\) −22.3591 8.95124i −0.821937 0.329054i
\(741\) 10.7191 + 23.4716i 0.393777 + 0.862251i
\(742\) −39.5800 14.0248i −1.45303 0.514866i
\(743\) 48.0860 14.1193i 1.76410 0.517987i 0.771166 0.636634i \(-0.219674\pi\)
0.992937 + 0.118647i \(0.0378557\pi\)
\(744\) −14.6179 + 7.53607i −0.535920 + 0.276286i
\(745\) 16.6737 1.59215i 0.610879 0.0583319i
\(746\) −8.26280 34.0597i −0.302522 1.24701i
\(747\) 15.6358 3.01356i 0.572085 0.110260i
\(748\) 2.69152 + 3.10618i 0.0984118 + 0.113573i
\(749\) −14.7200 23.2785i −0.537856 0.850577i
\(750\) 9.03752 19.7894i 0.330004 0.722607i
\(751\) 30.5394 15.7441i 1.11440 0.574512i 0.200190 0.979757i \(-0.435844\pi\)
0.914208 + 0.405245i \(0.132814\pi\)
\(752\) −14.8004 14.1121i −0.539714 0.514616i
\(753\) −12.6021 + 5.04513i −0.459247 + 0.183855i
\(754\) −47.2638 4.51314i −1.72124 0.164359i
\(755\) 2.17084 + 15.0985i 0.0790050 + 0.549492i
\(756\) −7.66508 + 9.60112i −0.278776 + 0.349190i
\(757\) 20.3105 23.4395i 0.738196 0.851923i −0.255173 0.966895i \(-0.582132\pi\)
0.993369 + 0.114972i \(0.0366778\pi\)
\(758\) 0.389699 0.674979i 0.0141545 0.0245163i
\(759\) 2.98445 + 4.40892i 0.108329 + 0.160034i
\(760\) 11.7094 + 20.2813i 0.424745 + 0.735680i
\(761\) −11.9061 34.4004i −0.431595 1.24701i −0.925915 0.377733i \(-0.876704\pi\)
0.494319 0.869280i \(-0.335417\pi\)
\(762\) −16.7893 + 10.7898i −0.608213 + 0.390875i
\(763\) 22.4094 + 44.2626i 0.811275 + 1.60241i
\(764\) −44.5621 97.5773i −1.61220 3.53022i
\(765\) −0.578199 0.454701i −0.0209048 0.0164398i
\(766\) 50.7003 + 48.3426i 1.83188 + 1.74669i
\(767\) −1.50650 + 31.6254i −0.0543967 + 1.14193i
\(768\) 14.1379 + 19.8540i 0.510159 + 0.716418i
\(769\) 14.7737 + 4.33795i 0.532753 + 0.156430i 0.537034 0.843560i \(-0.319545\pi\)
−0.00428131 + 0.999991i \(0.501363\pi\)
\(770\) 0.0512455 6.98419i 0.00184676 0.251693i
\(771\) 8.69012 + 10.0289i 0.312967 + 0.361183i
\(772\) −8.29164 + 7.90607i −0.298423 + 0.284546i
\(773\) −22.8461 + 2.18154i −0.821719 + 0.0784646i