Properties

Label 418.2.u.b.5.8
Level $418$
Weight $2$
Character 418.5
Analytic conductor $3.338$
Analytic rank $0$
Dimension $264$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 418 = 2 \cdot 11 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 418.u (of order \(45\), degree \(24\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.33774680449\)
Analytic rank: \(0\)
Dimension: \(264\)
Relative dimension: \(11\) over \(\Q(\zeta_{45})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{45}]$

Embedding invariants

Embedding label 5.8
Character \(\chi\) \(=\) 418.5
Dual form 418.2.u.b.251.8

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.615661 - 0.788011i) q^{2} +(1.20057 - 1.15938i) q^{3} +(-0.241922 + 0.970296i) q^{4} +(-2.39453 + 1.49627i) q^{5} +(-1.65275 - 0.232278i) q^{6} +(2.61504 + 1.16429i) q^{7} +(0.913545 - 0.406737i) q^{8} +(-0.00748509 + 0.214345i) q^{9} +O(q^{10})\) \(q+(-0.615661 - 0.788011i) q^{2} +(1.20057 - 1.15938i) q^{3} +(-0.241922 + 0.970296i) q^{4} +(-2.39453 + 1.49627i) q^{5} +(-1.65275 - 0.232278i) q^{6} +(2.61504 + 1.16429i) q^{7} +(0.913545 - 0.406737i) q^{8} +(-0.00748509 + 0.214345i) q^{9} +(2.65330 + 0.965720i) q^{10} +(-0.230878 - 3.30858i) q^{11} +(0.834495 + 1.44539i) q^{12} +(5.51978 - 2.93492i) q^{13} +(-0.692507 - 2.77749i) q^{14} +(-1.14006 + 4.57254i) q^{15} +(-0.882948 - 0.469472i) q^{16} +(0.0973339 + 2.78728i) q^{17} +(0.173514 - 0.126066i) q^{18} +(3.77584 - 2.17785i) q^{19} +(-0.872534 - 2.68538i) q^{20} +(4.48940 - 1.63401i) q^{21} +(-2.46505 + 2.21890i) q^{22} +(6.61248 - 5.54853i) q^{23} +(0.625214 - 1.54746i) q^{24} +(1.30310 - 2.67175i) q^{25} +(-5.71106 - 2.54273i) q^{26} +(3.58984 + 3.98692i) q^{27} +(-1.76234 + 2.25570i) q^{28} +(-4.42511 + 1.26888i) q^{29} +(4.30510 - 1.91675i) q^{30} +(-0.618020 + 0.686381i) q^{31} +(0.173648 + 0.984808i) q^{32} +(-4.11308 - 3.70451i) q^{33} +(2.13648 - 1.79272i) q^{34} +(-8.00390 + 1.12487i) q^{35} +(-0.206167 - 0.0591175i) q^{36} +(-2.96494 + 2.15416i) q^{37} +(-4.04081 - 1.63458i) q^{38} +(3.22420 - 9.92308i) q^{39} +(-1.57892 + 2.34085i) q^{40} +(-8.19481 + 7.91363i) q^{41} +(-4.05157 - 2.53170i) q^{42} +(3.86050 + 3.23934i) q^{43} +(3.26615 + 0.576398i) q^{44} +(-0.302794 - 0.524455i) q^{45} +(-8.44335 - 1.79469i) q^{46} +(-3.79034 - 5.61941i) q^{47} +(-1.60434 + 0.460036i) q^{48} +(0.798964 + 0.887340i) q^{49} +(-2.90763 + 0.618037i) q^{50} +(3.34836 + 3.23348i) q^{51} +(1.51238 + 6.06584i) q^{52} +(8.09265 + 5.05685i) q^{53} +(0.931609 - 5.28342i) q^{54} +(5.50337 + 7.57704i) q^{55} +2.86252 q^{56} +(2.00821 - 6.99228i) q^{57} +(3.72426 + 2.70584i) q^{58} +(5.54524 - 8.22116i) q^{59} +(-4.16091 - 2.21239i) q^{60} +(-2.68635 - 6.64896i) q^{61} +(0.921366 + 0.0644282i) q^{62} +(-0.269134 + 0.551807i) q^{63} +(0.669131 - 0.743145i) q^{64} +(-8.82585 + 15.2868i) q^{65} +(-0.386929 + 5.52187i) q^{66} +(-0.957233 - 0.348404i) q^{67} +(-2.72803 - 0.579861i) q^{68} +(1.50591 - 14.3278i) q^{69} +(5.81410 + 5.61461i) q^{70} +(-1.96324 + 1.22677i) q^{71} +(0.0803440 + 0.198858i) q^{72} +(0.623780 + 1.27894i) q^{73} +(3.52290 + 1.01018i) q^{74} +(-1.53310 - 4.71840i) q^{75} +(1.19970 + 4.19055i) q^{76} +(3.24840 - 8.92089i) q^{77} +(-9.80451 + 3.56855i) q^{78} +(-12.1730 + 1.71081i) q^{79} +(2.81670 - 0.196963i) q^{80} +(8.29033 + 0.579716i) q^{81} +(11.2813 + 1.58548i) q^{82} +(-4.27619 + 0.908932i) q^{83} +(0.499387 + 4.75135i) q^{84} +(-4.40359 - 6.52859i) q^{85} +(0.175877 - 5.03645i) q^{86} +(-3.84155 + 6.65376i) q^{87} +(-1.55664 - 2.92863i) q^{88} +(2.08231 + 11.8094i) q^{89} +(-0.226858 + 0.561492i) q^{90} +(17.8516 - 1.24830i) q^{91} +(3.78401 + 7.75838i) q^{92} +(0.0537978 + 1.54057i) q^{93} +(-2.09459 + 6.44648i) q^{94} +(-5.78271 + 10.8646i) q^{95} +(1.35024 + 0.981007i) q^{96} +(-0.0681272 - 0.0871988i) q^{97} +(0.207342 - 1.17589i) q^{98} +(0.710906 - 0.0247225i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 264 q + 6 q^{3} - 9 q^{6} - 15 q^{7} + 33 q^{8} + 6 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 264 q + 6 q^{3} - 9 q^{6} - 15 q^{7} + 33 q^{8} + 6 q^{9} + 3 q^{11} - 6 q^{13} + 18 q^{14} - 39 q^{15} - 3 q^{17} - 78 q^{18} - 45 q^{19} - 24 q^{20} + 48 q^{21} + 6 q^{23} - 9 q^{24} + 30 q^{25} + 18 q^{26} - 24 q^{27} + 6 q^{28} - 3 q^{31} - 63 q^{33} - 36 q^{34} + 42 q^{35} - 9 q^{36} + 60 q^{37} - 3 q^{38} + 36 q^{39} + 39 q^{41} + 6 q^{42} - 60 q^{43} + 60 q^{44} - 108 q^{45} - 12 q^{46} - 24 q^{47} - 12 q^{48} + 6 q^{49} + 18 q^{50} + 96 q^{51} + 3 q^{52} - 117 q^{53} + 54 q^{54} + 102 q^{55} - 96 q^{57} - 60 q^{58} - 141 q^{59} + 36 q^{60} + 24 q^{61} - 27 q^{62} - 81 q^{63} + 33 q^{64} - 102 q^{65} + 72 q^{66} + 102 q^{67} - 21 q^{68} - 6 q^{69} - 33 q^{70} - 66 q^{71} - 12 q^{72} + 36 q^{73} + 18 q^{74} + 6 q^{76} - 174 q^{77} + 18 q^{78} + 36 q^{79} + 60 q^{81} - 36 q^{82} - 24 q^{83} + 48 q^{84} + 174 q^{85} - 21 q^{86} + 12 q^{87} + 3 q^{88} + 30 q^{89} - 48 q^{90} - 18 q^{91} + 18 q^{92} - 123 q^{93} - 120 q^{94} - 18 q^{95} - 24 q^{97} - 84 q^{98} - 141 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/418\mathbb{Z}\right)^\times\).

\(n\) \(287\) \(343\)
\(\chi(n)\) \(e\left(\frac{8}{9}\right)\) \(e\left(\frac{2}{5}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.615661 0.788011i −0.435338 0.557208i
\(3\) 1.20057 1.15938i 0.693150 0.669367i −0.262143 0.965029i \(-0.584429\pi\)
0.955293 + 0.295662i \(0.0955403\pi\)
\(4\) −0.241922 + 0.970296i −0.120961 + 0.485148i
\(5\) −2.39453 + 1.49627i −1.07087 + 0.669152i −0.946375 0.323069i \(-0.895285\pi\)
−0.124491 + 0.992221i \(0.539730\pi\)
\(6\) −1.65275 0.232278i −0.674731 0.0948273i
\(7\) 2.61504 + 1.16429i 0.988394 + 0.440061i 0.836281 0.548302i \(-0.184725\pi\)
0.152113 + 0.988363i \(0.451392\pi\)
\(8\) 0.913545 0.406737i 0.322987 0.143803i
\(9\) −0.00748509 + 0.214345i −0.00249503 + 0.0714483i
\(10\) 2.65330 + 0.965720i 0.839046 + 0.305388i
\(11\) −0.230878 3.30858i −0.0696122 0.997574i
\(12\) 0.834495 + 1.44539i 0.240898 + 0.417247i
\(13\) 5.51978 2.93492i 1.53091 0.814000i 0.531458 0.847084i \(-0.321644\pi\)
0.999453 + 0.0330848i \(0.0105331\pi\)
\(14\) −0.692507 2.77749i −0.185080 0.742316i
\(15\) −1.14006 + 4.57254i −0.294363 + 1.18062i
\(16\) −0.882948 0.469472i −0.220737 0.117368i
\(17\) 0.0973339 + 2.78728i 0.0236069 + 0.676015i 0.952300 + 0.305164i \(0.0987114\pi\)
−0.928693 + 0.370850i \(0.879066\pi\)
\(18\) 0.173514 0.126066i 0.0408977 0.0297140i
\(19\) 3.77584 2.17785i 0.866237 0.499633i
\(20\) −0.872534 2.68538i −0.195104 0.600470i
\(21\) 4.48940 1.63401i 0.979667 0.356570i
\(22\) −2.46505 + 2.21890i −0.525551 + 0.473071i
\(23\) 6.61248 5.54853i 1.37880 1.15695i 0.409143 0.912470i \(-0.365828\pi\)
0.969655 0.244479i \(-0.0786168\pi\)
\(24\) 0.625214 1.54746i 0.127621 0.315874i
\(25\) 1.30310 2.67175i 0.260620 0.534350i
\(26\) −5.71106 2.54273i −1.12003 0.498670i
\(27\) 3.58984 + 3.98692i 0.690864 + 0.767282i
\(28\) −1.76234 + 2.25570i −0.333052 + 0.426287i
\(29\) −4.42511 + 1.26888i −0.821723 + 0.235625i −0.660053 0.751219i \(-0.729466\pi\)
−0.161671 + 0.986845i \(0.551688\pi\)
\(30\) 4.30510 1.91675i 0.786000 0.349950i
\(31\) −0.618020 + 0.686381i −0.111000 + 0.123278i −0.796084 0.605186i \(-0.793099\pi\)
0.685084 + 0.728464i \(0.259765\pi\)
\(32\) 0.173648 + 0.984808i 0.0306970 + 0.174091i
\(33\) −4.11308 3.70451i −0.715995 0.644872i
\(34\) 2.13648 1.79272i 0.366404 0.307449i
\(35\) −8.00390 + 1.12487i −1.35291 + 0.190138i
\(36\) −0.206167 0.0591175i −0.0343612 0.00985292i
\(37\) −2.96494 + 2.15416i −0.487434 + 0.354141i −0.804197 0.594364i \(-0.797404\pi\)
0.316763 + 0.948505i \(0.397404\pi\)
\(38\) −4.04081 1.63458i −0.655506 0.265165i
\(39\) 3.22420 9.92308i 0.516286 1.58896i
\(40\) −1.57892 + 2.34085i −0.249650 + 0.370121i
\(41\) −8.19481 + 7.91363i −1.27981 + 1.23590i −0.322595 + 0.946537i \(0.604555\pi\)
−0.957219 + 0.289364i \(0.906556\pi\)
\(42\) −4.05157 2.53170i −0.625170 0.390650i
\(43\) 3.86050 + 3.23934i 0.588721 + 0.493995i 0.887798 0.460234i \(-0.152234\pi\)
−0.299077 + 0.954229i \(0.596679\pi\)
\(44\) 3.26615 + 0.576398i 0.492391 + 0.0868953i
\(45\) −0.302794 0.524455i −0.0451379 0.0781812i
\(46\) −8.44335 1.79469i −1.24490 0.264613i
\(47\) −3.79034 5.61941i −0.552878 0.819675i 0.444211 0.895922i \(-0.353484\pi\)
−0.997089 + 0.0762468i \(0.975706\pi\)
\(48\) −1.60434 + 0.460036i −0.231566 + 0.0664004i
\(49\) 0.798964 + 0.887340i 0.114138 + 0.126763i
\(50\) −2.90763 + 0.618037i −0.411201 + 0.0874036i
\(51\) 3.34836 + 3.23348i 0.468865 + 0.452777i
\(52\) 1.51238 + 6.06584i 0.209730 + 0.841180i
\(53\) 8.09265 + 5.05685i 1.11161 + 0.694611i 0.956047 0.293214i \(-0.0947250\pi\)
0.155564 + 0.987826i \(0.450281\pi\)
\(54\) 0.931609 5.28342i 0.126776 0.718982i
\(55\) 5.50337 + 7.57704i 0.742074 + 1.02169i
\(56\) 2.86252 0.382521
\(57\) 2.00821 6.99228i 0.265994 0.926151i
\(58\) 3.72426 + 2.70584i 0.489020 + 0.355294i
\(59\) 5.54524 8.22116i 0.721929 1.07030i −0.272215 0.962237i \(-0.587756\pi\)
0.994144 0.108067i \(-0.0344662\pi\)
\(60\) −4.16091 2.21239i −0.537171 0.285619i
\(61\) −2.68635 6.64896i −0.343952 0.851312i −0.995679 0.0928585i \(-0.970400\pi\)
0.651727 0.758454i \(-0.274045\pi\)
\(62\) 0.921366 + 0.0644282i 0.117014 + 0.00818239i
\(63\) −0.269134 + 0.551807i −0.0339077 + 0.0695211i
\(64\) 0.669131 0.743145i 0.0836413 0.0928931i
\(65\) −8.82585 + 15.2868i −1.09471 + 1.89610i
\(66\) −0.386929 + 5.52187i −0.0476277 + 0.679695i
\(67\) −0.957233 0.348404i −0.116945 0.0425644i 0.282885 0.959154i \(-0.408709\pi\)
−0.399830 + 0.916589i \(0.630931\pi\)
\(68\) −2.72803 0.579861i −0.330823 0.0703185i
\(69\) 1.50591 14.3278i 0.181290 1.72486i
\(70\) 5.81410 + 5.61461i 0.694918 + 0.671075i
\(71\) −1.96324 + 1.22677i −0.232994 + 0.145591i −0.641392 0.767213i \(-0.721643\pi\)
0.408399 + 0.912804i \(0.366087\pi\)
\(72\) 0.0803440 + 0.198858i 0.00946863 + 0.0234357i
\(73\) 0.623780 + 1.27894i 0.0730079 + 0.149688i 0.932176 0.362004i \(-0.117907\pi\)
−0.859168 + 0.511693i \(0.829019\pi\)
\(74\) 3.52290 + 1.01018i 0.409529 + 0.117430i
\(75\) −1.53310 4.71840i −0.177027 0.544834i
\(76\) 1.19970 + 4.19055i 0.137615 + 0.480689i
\(77\) 3.24840 8.92089i 0.370189 1.01663i
\(78\) −9.80451 + 3.56855i −1.11014 + 0.404059i
\(79\) −12.1730 + 1.71081i −1.36957 + 0.192481i −0.785319 0.619091i \(-0.787501\pi\)
−0.584253 + 0.811572i \(0.698612\pi\)
\(80\) 2.81670 0.196963i 0.314917 0.0220211i
\(81\) 8.29033 + 0.579716i 0.921148 + 0.0644129i
\(82\) 11.2813 + 1.58548i 1.24581 + 0.175087i
\(83\) −4.27619 + 0.908932i −0.469373 + 0.0997682i −0.436525 0.899692i \(-0.643791\pi\)
−0.0328477 + 0.999460i \(0.510458\pi\)
\(84\) 0.499387 + 4.75135i 0.0544875 + 0.518414i
\(85\) −4.40359 6.52859i −0.477636 0.708125i
\(86\) 0.175877 5.03645i 0.0189653 0.543095i
\(87\) −3.84155 + 6.65376i −0.411857 + 0.713358i
\(88\) −1.55664 2.92863i −0.165938 0.312193i
\(89\) 2.08231 + 11.8094i 0.220725 + 1.25179i 0.870692 + 0.491829i \(0.163672\pi\)
−0.649967 + 0.759962i \(0.725217\pi\)
\(90\) −0.226858 + 0.561492i −0.0239129 + 0.0591865i
\(91\) 17.8516 1.24830i 1.87135 0.130858i
\(92\) 3.78401 + 7.75838i 0.394511 + 0.808867i
\(93\) 0.0537978 + 1.54057i 0.00557857 + 0.159749i
\(94\) −2.09459 + 6.44648i −0.216040 + 0.664904i
\(95\) −5.78271 + 10.8646i −0.593294 + 1.11468i
\(96\) 1.35024 + 0.981007i 0.137808 + 0.100124i
\(97\) −0.0681272 0.0871988i −0.00691727 0.00885370i 0.784540 0.620079i \(-0.212899\pi\)
−0.791457 + 0.611225i \(0.790677\pi\)
\(98\) 0.207342 1.17589i 0.0209447 0.118783i
\(99\) 0.710906 0.0247225i 0.0714487 0.00248470i
\(100\) 2.27714 + 1.91074i 0.227714 + 0.191074i
\(101\) 11.8622 6.30722i 1.18033 0.627592i 0.240972 0.970532i \(-0.422534\pi\)
0.939357 + 0.342940i \(0.111423\pi\)
\(102\) 0.486556 4.62927i 0.0481763 0.458367i
\(103\) −0.0980939 0.933301i −0.00966548 0.0919609i 0.988626 0.150397i \(-0.0480552\pi\)
−0.998291 + 0.0584362i \(0.981389\pi\)
\(104\) 3.84883 4.92628i 0.377409 0.483061i
\(105\) −8.30509 + 10.6300i −0.810493 + 1.03738i
\(106\) −0.997481 9.49040i −0.0968839 0.921789i
\(107\) −2.02145 + 19.2328i −0.195421 + 1.85930i 0.255591 + 0.966785i \(0.417730\pi\)
−0.451011 + 0.892518i \(0.648937\pi\)
\(108\) −4.73695 + 2.51868i −0.455813 + 0.242360i
\(109\) −5.05028 4.23769i −0.483729 0.405897i 0.368044 0.929808i \(-0.380028\pi\)
−0.851772 + 0.523912i \(0.824472\pi\)
\(110\) 2.58258 9.00160i 0.246239 0.858269i
\(111\) −1.06214 + 6.02370i −0.100814 + 0.571745i
\(112\) −1.76234 2.25570i −0.166526 0.213143i
\(113\) −11.9332 8.66999i −1.12258 0.815604i −0.137984 0.990434i \(-0.544062\pi\)
−0.984599 + 0.174831i \(0.944062\pi\)
\(114\) −6.74637 + 2.72239i −0.631856 + 0.254975i
\(115\) −7.53169 + 23.1802i −0.702334 + 2.16156i
\(116\) −0.160658 4.60064i −0.0149167 0.427159i
\(117\) 0.587769 + 1.20510i 0.0543393 + 0.111412i
\(118\) −9.89235 + 0.691741i −0.910665 + 0.0636799i
\(119\) −2.99068 + 7.40218i −0.274155 + 0.678557i
\(120\) 0.818321 + 4.64093i 0.0747021 + 0.423657i
\(121\) −10.8934 + 1.52775i −0.990308 + 0.138887i
\(122\) −3.58557 + 6.21039i −0.324622 + 0.562262i
\(123\) −0.663555 + 19.0017i −0.0598308 + 1.71333i
\(124\) −0.516480 0.765712i −0.0463812 0.0687630i
\(125\) −0.598378 5.69319i −0.0535206 0.509214i
\(126\) 0.600525 0.127646i 0.0534990 0.0113716i
\(127\) −14.4027 2.02417i −1.27803 0.179616i −0.532697 0.846306i \(-0.678821\pi\)
−0.745335 + 0.666691i \(0.767710\pi\)
\(128\) −0.997564 0.0697565i −0.0881730 0.00616566i
\(129\) 8.39042 0.586715i 0.738735 0.0516574i
\(130\) 17.4799 2.45664i 1.53309 0.215462i
\(131\) −16.2600 + 5.91817i −1.42065 + 0.517073i −0.934235 0.356657i \(-0.883916\pi\)
−0.486411 + 0.873730i \(0.661694\pi\)
\(132\) 4.58951 3.09470i 0.399466 0.269359i
\(133\) 12.4096 1.29899i 1.07605 0.112637i
\(134\) 0.314785 + 0.968809i 0.0271933 + 0.0836924i
\(135\) −14.5615 4.17543i −1.25325 0.359364i
\(136\) 1.22261 + 2.50672i 0.104838 + 0.214949i
\(137\) −4.43149 10.9683i −0.378608 0.937087i −0.989389 0.145288i \(-0.953589\pi\)
0.610782 0.791799i \(-0.290855\pi\)
\(138\) −12.2176 + 7.63438i −1.04003 + 0.649882i
\(139\) 5.98937 + 5.78386i 0.508011 + 0.490581i 0.903916 0.427711i \(-0.140680\pi\)
−0.395904 + 0.918292i \(0.629569\pi\)
\(140\) 0.844857 8.03828i 0.0714034 0.679358i
\(141\) −11.0656 2.35206i −0.931891 0.198079i
\(142\) 2.17540 + 0.791780i 0.182555 + 0.0664447i
\(143\) −10.9848 17.5850i −0.918595 1.47053i
\(144\) 0.107238 0.185741i 0.00893649 0.0154784i
\(145\) 8.69748 9.65953i 0.722287 0.802181i
\(146\) 0.623780 1.27894i 0.0516244 0.105846i
\(147\) 1.98797 + 0.139013i 0.163965 + 0.0114656i
\(148\) −1.37288 3.39801i −0.112850 0.279315i
\(149\) −5.33553 2.83695i −0.437103 0.232412i 0.236311 0.971678i \(-0.424062\pi\)
−0.673414 + 0.739266i \(0.735173\pi\)
\(150\) −2.77428 + 4.11304i −0.226519 + 0.335828i
\(151\) 11.8549 + 8.61309i 0.964738 + 0.700923i 0.954246 0.299022i \(-0.0966603\pi\)
0.0104917 + 0.999945i \(0.496660\pi\)
\(152\) 2.56359 3.52534i 0.207935 0.285943i
\(153\) −0.598168 −0.0483590
\(154\) −9.02967 + 2.93247i −0.727632 + 0.236306i
\(155\) 0.452857 2.56828i 0.0363744 0.206289i
\(156\) 8.84832 + 5.52904i 0.708432 + 0.442678i
\(157\) 1.19629 + 4.79804i 0.0954740 + 0.382925i 0.998955 0.0457026i \(-0.0145527\pi\)
−0.903481 + 0.428628i \(0.858997\pi\)
\(158\) 8.84260 + 8.53920i 0.703479 + 0.679342i
\(159\) 15.5786 3.31133i 1.23546 0.262606i
\(160\) −1.88934 2.09833i −0.149366 0.165887i
\(161\) 23.7521 6.81079i 1.87192 0.536766i
\(162\) −4.64721 6.88978i −0.365120 0.541312i
\(163\) −12.3516 2.62542i −0.967455 0.205639i −0.303019 0.952984i \(-0.597995\pi\)
−0.664436 + 0.747345i \(0.731328\pi\)
\(164\) −5.69606 9.86587i −0.444788 0.770395i
\(165\) 15.3918 + 2.71629i 1.19825 + 0.211463i
\(166\) 3.34893 + 2.81009i 0.259928 + 0.218105i
\(167\) −8.43168 5.26870i −0.652463 0.407704i 0.162910 0.986641i \(-0.447912\pi\)
−0.815372 + 0.578937i \(0.803468\pi\)
\(168\) 3.43666 3.31874i 0.265144 0.256047i
\(169\) 14.5847 21.6227i 1.12190 1.66328i
\(170\) −2.43348 + 7.48947i −0.186639 + 0.574416i
\(171\) 0.438549 + 0.825634i 0.0335367 + 0.0631378i
\(172\) −4.07706 + 2.96216i −0.310873 + 0.225862i
\(173\) −0.210275 0.0602955i −0.0159869 0.00458418i 0.267634 0.963521i \(-0.413758\pi\)
−0.283621 + 0.958936i \(0.591536\pi\)
\(174\) 7.60833 1.06928i 0.576786 0.0810620i
\(175\) 6.51836 5.46955i 0.492741 0.413459i
\(176\) −1.34943 + 3.02969i −0.101717 + 0.228372i
\(177\) −2.87397 16.2991i −0.216021 1.22512i
\(178\) 8.02392 8.91146i 0.601418 0.667942i
\(179\) 5.79586 2.58048i 0.433203 0.192874i −0.178537 0.983933i \(-0.557137\pi\)
0.611740 + 0.791059i \(0.290470\pi\)
\(180\) 0.582129 0.166923i 0.0433893 0.0124417i
\(181\) −9.95346 + 12.7398i −0.739835 + 0.946945i −0.999826 0.0186659i \(-0.994058\pi\)
0.259991 + 0.965611i \(0.416280\pi\)
\(182\) −11.9742 13.2987i −0.887587 0.985765i
\(183\) −10.9338 4.86805i −0.808251 0.359856i
\(184\) 3.78401 7.75838i 0.278961 0.571955i
\(185\) 3.87645 9.59454i 0.285002 0.705405i
\(186\) 1.18086 0.990860i 0.0865850 0.0726534i
\(187\) 9.19946 0.965558i 0.672731 0.0706086i
\(188\) 6.36946 2.31829i 0.464540 0.169079i
\(189\) 4.74564 + 14.6056i 0.345195 + 1.06240i
\(190\) 12.1216 2.13207i 0.879394 0.154677i
\(191\) 11.3365 8.23642i 0.820277 0.595966i −0.0965147 0.995332i \(-0.530769\pi\)
0.916792 + 0.399365i \(0.130769\pi\)
\(192\) −0.0582469 1.66797i −0.00420361 0.120376i
\(193\) 20.4903 + 10.8949i 1.47492 + 0.784231i 0.995627 0.0934206i \(-0.0297801\pi\)
0.479298 + 0.877652i \(0.340891\pi\)
\(194\) −0.0267703 + 0.107370i −0.00192200 + 0.00770871i
\(195\) 7.12714 + 28.5854i 0.510385 + 2.04704i
\(196\) −1.05427 + 0.560565i −0.0753049 + 0.0400403i
\(197\) −5.25904 9.10893i −0.374691 0.648984i 0.615590 0.788067i \(-0.288918\pi\)
−0.990281 + 0.139083i \(0.955585\pi\)
\(198\) −0.457159 0.544981i −0.0324889 0.0387301i
\(199\) −7.86659 2.86320i −0.557648 0.202967i 0.0477934 0.998857i \(-0.484781\pi\)
−0.605441 + 0.795890i \(0.707003\pi\)
\(200\) 0.103742 2.97078i 0.00733566 0.210066i
\(201\) −1.55316 + 0.691510i −0.109551 + 0.0487754i
\(202\) −12.2732 5.46440i −0.863542 0.384474i
\(203\) −13.0492 1.83395i −0.915876 0.128718i
\(204\) −3.94747 + 2.46665i −0.276378 + 0.172700i
\(205\) 7.78179 31.2111i 0.543504 2.17987i
\(206\) −0.675059 + 0.651897i −0.0470336 + 0.0454198i
\(207\) 1.13981 + 1.45888i 0.0792219 + 0.101399i
\(208\) −6.25153 −0.433466
\(209\) −8.07735 11.9898i −0.558722 0.829355i
\(210\) 13.4897 0.930877
\(211\) 4.21967 + 5.40093i 0.290494 + 0.371816i 0.911014 0.412375i \(-0.135301\pi\)
−0.620520 + 0.784191i \(0.713078\pi\)
\(212\) −6.86443 + 6.62890i −0.471451 + 0.455275i
\(213\) −0.934720 + 3.74896i −0.0640460 + 0.256874i
\(214\) 16.4002 10.2480i 1.12109 0.700536i
\(215\) −14.0910 1.98036i −0.960999 0.135060i
\(216\) 4.90110 + 2.18211i 0.333478 + 0.148474i
\(217\) −2.41530 + 1.07536i −0.163961 + 0.0730002i
\(218\) −0.230081 + 6.58865i −0.0155830 + 0.446240i
\(219\) 2.23166 + 0.812259i 0.150802 + 0.0548874i
\(220\) −8.68335 + 3.50684i −0.585431 + 0.236431i
\(221\) 8.71770 + 15.0995i 0.586416 + 1.01570i
\(222\) 5.40066 2.87158i 0.362469 0.192728i
\(223\) −3.63607 14.5835i −0.243489 0.976582i −0.960223 0.279235i \(-0.909919\pi\)
0.716733 0.697347i \(-0.245636\pi\)
\(224\) −0.692507 + 2.77749i −0.0462701 + 0.185579i
\(225\) 0.562922 + 0.299311i 0.0375281 + 0.0199541i
\(226\) 0.514777 + 14.7413i 0.0342424 + 0.980575i
\(227\) 16.8623 12.2512i 1.11919 0.813141i 0.135106 0.990831i \(-0.456863\pi\)
0.984086 + 0.177691i \(0.0568626\pi\)
\(228\) 6.29875 + 3.64015i 0.417145 + 0.241075i
\(229\) −2.43847 7.50483i −0.161139 0.495933i 0.837592 0.546296i \(-0.183962\pi\)
−0.998731 + 0.0503621i \(0.983962\pi\)
\(230\) 22.9032 8.33608i 1.51019 0.549665i
\(231\) −6.44274 14.4763i −0.423901 0.952469i
\(232\) −3.52644 + 2.95904i −0.231522 + 0.194270i
\(233\) −6.77653 + 16.7725i −0.443945 + 1.09880i 0.524906 + 0.851160i \(0.324100\pi\)
−0.968851 + 0.247643i \(0.920344\pi\)
\(234\) 0.587769 1.20510i 0.0384237 0.0787802i
\(235\) 17.4842 + 7.78448i 1.14055 + 0.507804i
\(236\) 6.63544 + 7.36940i 0.431930 + 0.479707i
\(237\) −12.6311 + 16.1671i −0.820478 + 1.05016i
\(238\) 7.67424 2.20055i 0.497447 0.142641i
\(239\) −11.5792 + 5.15539i −0.748996 + 0.333474i −0.745488 0.666519i \(-0.767783\pi\)
−0.00350808 + 0.999994i \(0.501117\pi\)
\(240\) 3.15329 3.50209i 0.203544 0.226059i
\(241\) −0.993270 5.63312i −0.0639822 0.362861i −0.999942 0.0107545i \(-0.996577\pi\)
0.935960 0.352106i \(-0.114534\pi\)
\(242\) 7.91053 + 7.64353i 0.508508 + 0.491345i
\(243\) −1.70408 + 1.42989i −0.109317 + 0.0917277i
\(244\) 7.10135 0.998029i 0.454617 0.0638923i
\(245\) −3.24084 0.929297i −0.207050 0.0593706i
\(246\) 15.3821 11.1758i 0.980727 0.712540i
\(247\) 14.4500 23.1030i 0.919431 1.47001i
\(248\) −0.285413 + 0.878411i −0.0181237 + 0.0557792i
\(249\) −4.08007 + 6.04895i −0.258564 + 0.383337i
\(250\) −4.11789 + 3.97660i −0.260438 + 0.251502i
\(251\) 15.3260 + 9.57673i 0.967367 + 0.604478i 0.918960 0.394350i \(-0.129030\pi\)
0.0484064 + 0.998828i \(0.484586\pi\)
\(252\) −0.470306 0.394634i −0.0296265 0.0248596i
\(253\) −19.8844 20.5969i −1.25012 1.29492i
\(254\) 7.27211 + 12.5957i 0.456293 + 0.790323i
\(255\) −12.8559 2.73261i −0.805068 0.171123i
\(256\) 0.559193 + 0.829038i 0.0349496 + 0.0518148i
\(257\) −14.2781 + 4.09418i −0.890644 + 0.255388i −0.689597 0.724194i \(-0.742212\pi\)
−0.201047 + 0.979582i \(0.564434\pi\)
\(258\) −5.62800 6.25052i −0.350384 0.389141i
\(259\) −10.2615 + 2.18115i −0.637620 + 0.135530i
\(260\) −12.6976 12.2619i −0.787470 0.760451i
\(261\) −0.238856 0.957999i −0.0147848 0.0592986i
\(262\) 14.6743 + 9.16949i 0.906579 + 0.566493i
\(263\) 3.17460 18.0041i 0.195754 1.11018i −0.715586 0.698525i \(-0.753840\pi\)
0.911340 0.411654i \(-0.135049\pi\)
\(264\) −5.26424 1.71130i −0.323992 0.105323i
\(265\) −26.9445 −1.65519
\(266\) −8.66376 8.97919i −0.531209 0.550550i
\(267\) 16.1915 + 11.7638i 0.990903 + 0.719933i
\(268\) 0.569631 0.844513i 0.0347957 0.0515868i
\(269\) −21.5562 11.4616i −1.31430 0.698827i −0.343601 0.939116i \(-0.611647\pi\)
−0.970701 + 0.240289i \(0.922758\pi\)
\(270\) 5.67465 + 14.0452i 0.345348 + 0.854766i
\(271\) −14.8394 1.03767i −0.901432 0.0630342i −0.388485 0.921455i \(-0.627002\pi\)
−0.512946 + 0.858421i \(0.671446\pi\)
\(272\) 1.22261 2.50672i 0.0741315 0.151992i
\(273\) 19.9848 22.1954i 1.20954 1.34333i
\(274\) −5.91486 + 10.2448i −0.357330 + 0.618913i
\(275\) −9.14054 3.69456i −0.551196 0.222790i
\(276\) 13.5379 + 4.92738i 0.814883 + 0.296593i
\(277\) 8.91990 + 1.89598i 0.535945 + 0.113919i 0.467930 0.883766i \(-0.345000\pi\)
0.0680151 + 0.997684i \(0.478333\pi\)
\(278\) 0.870325 8.28059i 0.0521986 0.496637i
\(279\) −0.142496 0.137607i −0.00853103 0.00823832i
\(280\) −6.85439 + 4.28310i −0.409628 + 0.255964i
\(281\) 6.27332 + 15.5270i 0.374235 + 0.926263i 0.990348 + 0.138605i \(0.0442620\pi\)
−0.616113 + 0.787658i \(0.711294\pi\)
\(282\) 4.95921 + 10.1679i 0.295316 + 0.605488i
\(283\) −19.6738 5.64137i −1.16949 0.335345i −0.365970 0.930627i \(-0.619263\pi\)
−0.803517 + 0.595282i \(0.797040\pi\)
\(284\) −0.715378 2.20171i −0.0424498 0.130647i
\(285\) 5.65361 + 19.7481i 0.334891 + 1.16977i
\(286\) −7.09426 + 19.4826i −0.419492 + 1.15203i
\(287\) −30.6436 + 11.1533i −1.80883 + 0.658361i
\(288\) −0.212388 + 0.0298492i −0.0125151 + 0.00175888i
\(289\) 9.19914 0.643266i 0.541126 0.0378392i
\(290\) −12.9665 0.906707i −0.761420 0.0532437i
\(291\) −0.182888 0.0257032i −0.0107211 0.00150675i
\(292\) −1.39185 + 0.295848i −0.0814521 + 0.0173132i
\(293\) −0.422798 4.02265i −0.0247001 0.235006i −0.999906 0.0137067i \(-0.995637\pi\)
0.975206 0.221299i \(-0.0710298\pi\)
\(294\) −1.11438 1.65213i −0.0649917 0.0963542i
\(295\) −0.977187 + 27.9830i −0.0568940 + 1.62923i
\(296\) −1.83244 + 3.17387i −0.106508 + 0.184478i
\(297\) 12.3622 12.7977i 0.717328 0.742600i
\(298\) 1.04933 + 5.95105i 0.0607861 + 0.344735i
\(299\) 20.2149 50.0338i 1.16906 2.89353i
\(300\) 4.94914 0.346077i 0.285739 0.0199808i
\(301\) 6.32383 + 12.9658i 0.364500 + 0.747335i
\(302\) −0.511398 14.6445i −0.0294277 0.842698i
\(303\) 6.92891 21.3250i 0.398055 1.22509i
\(304\) −4.35631 + 0.150278i −0.249851 + 0.00861902i
\(305\) 16.3812 + 11.9016i 0.937984 + 0.681485i
\(306\) 0.368269 + 0.471363i 0.0210525 + 0.0269460i
\(307\) −2.67931 + 15.1951i −0.152916 + 0.867231i 0.807750 + 0.589525i \(0.200685\pi\)
−0.960666 + 0.277706i \(0.910426\pi\)
\(308\) 7.87004 + 5.31007i 0.448437 + 0.302569i
\(309\) −1.19982 1.00677i −0.0682552 0.0572729i
\(310\) −2.30264 + 1.22434i −0.130781 + 0.0695376i
\(311\) −1.65237 + 15.7212i −0.0936971 + 0.891468i 0.842193 + 0.539176i \(0.181264\pi\)
−0.935890 + 0.352292i \(0.885402\pi\)
\(312\) −1.09062 10.3766i −0.0617444 0.587458i
\(313\) −3.35126 + 4.28941i −0.189424 + 0.242452i −0.873342 0.487107i \(-0.838052\pi\)
0.683918 + 0.729559i \(0.260275\pi\)
\(314\) 3.04440 3.89665i 0.171805 0.219901i
\(315\) −0.181201 1.72401i −0.0102095 0.0971372i
\(316\) 1.28493 12.2253i 0.0722831 0.687728i
\(317\) 13.2196 7.02901i 0.742489 0.394788i −0.0547121 0.998502i \(-0.517424\pi\)
0.797201 + 0.603714i \(0.206313\pi\)
\(318\) −12.2005 10.2374i −0.684170 0.574087i
\(319\) 5.21985 + 14.3479i 0.292256 + 0.803327i
\(320\) −0.490309 + 2.78068i −0.0274091 + 0.155445i
\(321\) 19.8712 + 25.4339i 1.10910 + 1.41958i
\(322\) −19.9902 14.5237i −1.11401 0.809376i
\(323\) 6.43779 + 10.3123i 0.358208 + 0.573794i
\(324\) −2.56811 + 7.90382i −0.142673 + 0.439101i
\(325\) −0.648546 18.5719i −0.0359749 1.03019i
\(326\) 5.53557 + 11.3496i 0.306587 + 0.628596i
\(327\) −10.9763 + 0.767537i −0.606990 + 0.0424449i
\(328\) −4.26756 + 10.5626i −0.235637 + 0.583221i
\(329\) −3.36927 19.1081i −0.185754 1.05346i
\(330\) −7.33569 13.8012i −0.403816 0.759733i
\(331\) −8.98838 + 15.5683i −0.494046 + 0.855712i −0.999976 0.00686173i \(-0.997816\pi\)
0.505931 + 0.862574i \(0.331149\pi\)
\(332\) 0.152571 4.36906i 0.00837341 0.239783i
\(333\) −0.439540 0.651645i −0.0240866 0.0357099i
\(334\) 1.03927 + 9.88798i 0.0568663 + 0.541046i
\(335\) 2.81343 0.598013i 0.153714 0.0326729i
\(336\) −4.73102 0.664902i −0.258099 0.0362734i
\(337\) −9.33368 0.652675i −0.508438 0.0355535i −0.186766 0.982404i \(-0.559801\pi\)
−0.321672 + 0.946851i \(0.604245\pi\)
\(338\) −26.0182 + 1.81937i −1.41520 + 0.0989605i
\(339\) −24.3784 + 3.42617i −1.32406 + 0.186084i
\(340\) 7.39998 2.69337i 0.401320 0.146069i
\(341\) 2.41363 + 1.88630i 0.130705 + 0.102149i
\(342\) 0.380611 0.853892i 0.0205811 0.0461732i
\(343\) −5.13577 15.8063i −0.277306 0.853459i
\(344\) 4.84430 + 1.38908i 0.261187 + 0.0748942i
\(345\) 17.8322 + 36.5615i 0.960055 + 1.96841i
\(346\) 0.0819450 + 0.202821i 0.00440539 + 0.0109037i
\(347\) −1.23475 + 0.771557i −0.0662848 + 0.0414194i −0.562657 0.826691i \(-0.690221\pi\)
0.496372 + 0.868110i \(0.334665\pi\)
\(348\) −5.52676 5.33713i −0.296265 0.286100i
\(349\) −0.265528 + 2.52633i −0.0142134 + 0.135231i −0.999327 0.0366709i \(-0.988325\pi\)
0.985114 + 0.171902i \(0.0549913\pi\)
\(350\) −8.32316 1.76914i −0.444892 0.0945647i
\(351\) 31.5164 + 11.4710i 1.68222 + 0.612278i
\(352\) 3.21822 0.801899i 0.171532 0.0427414i
\(353\) 5.98650 10.3689i 0.318629 0.551882i −0.661573 0.749881i \(-0.730111\pi\)
0.980202 + 0.197999i \(0.0634441\pi\)
\(354\) −11.0745 + 12.2995i −0.588602 + 0.653709i
\(355\) 2.86546 5.87507i 0.152083 0.311816i
\(356\) −11.9623 0.836489i −0.634003 0.0443338i
\(357\) 4.99141 + 12.3542i 0.264173 + 0.653852i
\(358\) −5.60173 2.97849i −0.296061 0.157418i
\(359\) −11.7638 + 17.4406i −0.620872 + 0.920480i −0.999988 0.00486859i \(-0.998450\pi\)
0.379116 + 0.925349i \(0.376228\pi\)
\(360\) −0.489932 0.355956i −0.0258217 0.0187605i
\(361\) 9.51394 16.4464i 0.500734 0.865601i
\(362\) 16.1671 0.849724
\(363\) −11.3070 + 14.4637i −0.593466 + 0.759149i
\(364\) −3.10746 + 17.6233i −0.162875 + 0.923711i
\(365\) −3.40729 2.12911i −0.178346 0.111443i
\(366\) 2.89545 + 11.6130i 0.151348 + 0.607023i
\(367\) 6.72164 + 6.49101i 0.350866 + 0.338828i 0.849117 0.528206i \(-0.177135\pi\)
−0.498250 + 0.867033i \(0.666024\pi\)
\(368\) −8.44335 + 1.79469i −0.440140 + 0.0935547i
\(369\) −1.63491 1.81575i −0.0851099 0.0945242i
\(370\) −9.94718 + 2.85231i −0.517129 + 0.148284i
\(371\) 15.2750 + 22.6461i 0.793037 + 1.17573i
\(372\) −1.50782 0.320497i −0.0781768 0.0166170i
\(373\) 5.55655 + 9.62423i 0.287707 + 0.498324i 0.973262 0.229697i \(-0.0737736\pi\)
−0.685555 + 0.728021i \(0.740440\pi\)
\(374\) −6.42462 6.65482i −0.332209 0.344112i
\(375\) −7.31894 6.14132i −0.377949 0.317137i
\(376\) −5.74827 3.59192i −0.296444 0.185239i
\(377\) −20.7016 + 19.9913i −1.06619 + 1.02960i
\(378\) 8.58765 12.7317i 0.441701 0.654848i
\(379\) 3.49326 10.7512i 0.179437 0.552250i −0.820371 0.571831i \(-0.806233\pi\)
0.999808 + 0.0195811i \(0.00623325\pi\)
\(380\) −9.14291 8.23933i −0.469021 0.422669i
\(381\) −19.6382 + 14.2680i −1.00610 + 0.730971i
\(382\) −13.4698 3.86240i −0.689175 0.197618i
\(383\) −7.86487 + 1.10534i −0.401876 + 0.0564800i −0.337216 0.941427i \(-0.609485\pi\)
−0.0646603 + 0.997907i \(0.520596\pi\)
\(384\) −1.27852 + 1.07281i −0.0652442 + 0.0547464i
\(385\) 5.56966 + 26.2218i 0.283856 + 1.33639i
\(386\) −4.02980 22.8542i −0.205112 1.16325i
\(387\) −0.723233 + 0.803232i −0.0367640 + 0.0408306i
\(388\) 0.101090 0.0450082i 0.00513207 0.00228495i
\(389\) 16.6707 4.78025i 0.845238 0.242368i 0.175050 0.984560i \(-0.443991\pi\)
0.670188 + 0.742191i \(0.266213\pi\)
\(390\) 18.1377 23.2152i 0.918437 1.17555i
\(391\) 16.1089 + 17.8908i 0.814663 + 0.904775i
\(392\) 1.09080 + 0.485657i 0.0550939 + 0.0245294i
\(393\) −12.6599 + 25.9567i −0.638609 + 1.30934i
\(394\) −3.94014 + 9.75220i −0.198502 + 0.491309i
\(395\) 26.5888 22.3107i 1.33783 1.12257i
\(396\) −0.147996 + 0.695769i −0.00743705 + 0.0349637i
\(397\) −28.5137 + 10.3781i −1.43106 + 0.520863i −0.937235 0.348699i \(-0.886624\pi\)
−0.493824 + 0.869562i \(0.664401\pi\)
\(398\) 2.58692 + 7.96172i 0.129671 + 0.399085i
\(399\) 13.3926 15.9470i 0.670470 0.798348i
\(400\) −2.40488 + 1.74725i −0.120244 + 0.0873623i
\(401\) −0.698077 19.9903i −0.0348603 0.998269i −0.883252 0.468899i \(-0.844651\pi\)
0.848391 0.529369i \(-0.177571\pi\)
\(402\) 1.50114 + 0.798169i 0.0748699 + 0.0398090i
\(403\) −1.39686 + 5.60250i −0.0695826 + 0.279081i
\(404\) 3.25015 + 13.0357i 0.161701 + 0.648548i
\(405\) −20.7189 + 11.0164i −1.02953 + 0.547410i
\(406\) 6.58873 + 11.4120i 0.326993 + 0.566369i
\(407\) 7.81174 + 9.31240i 0.387213 + 0.461599i
\(408\) 4.37406 + 1.59203i 0.216548 + 0.0788171i
\(409\) −0.697807 + 19.9826i −0.0345043 + 0.988074i 0.851488 + 0.524374i \(0.175701\pi\)
−0.885992 + 0.463700i \(0.846522\pi\)
\(410\) −29.3856 + 13.0833i −1.45125 + 0.646139i
\(411\) −18.0367 8.03047i −0.889687 0.396114i
\(412\) 0.929309 + 0.130606i 0.0457838 + 0.00643449i
\(413\) 24.0729 15.0424i 1.18455 0.740189i
\(414\) 0.447882 1.79636i 0.0220122 0.0882861i
\(415\) 8.87945 8.57479i 0.435875 0.420920i
\(416\) 3.84883 + 4.92628i 0.188704 + 0.241531i
\(417\) 13.8963 0.680506
\(418\) −4.47522 + 13.7467i −0.218890 + 0.672374i
\(419\) 22.4564 1.09707 0.548533 0.836129i \(-0.315186\pi\)
0.548533 + 0.836129i \(0.315186\pi\)
\(420\) −8.30509 10.6300i −0.405247 0.518692i
\(421\) 8.26017 7.97676i 0.402576 0.388763i −0.465620 0.884985i \(-0.654169\pi\)
0.868196 + 0.496222i \(0.165280\pi\)
\(422\) 1.65810 6.65029i 0.0807153 0.323731i
\(423\) 1.23286 0.770379i 0.0599439 0.0374571i
\(424\) 9.44981 + 1.32808i 0.458923 + 0.0644974i
\(425\) 7.57374 + 3.37205i 0.367380 + 0.163568i
\(426\) 3.52969 1.57152i 0.171014 0.0761404i
\(427\) 0.716401 20.5150i 0.0346691 0.992792i
\(428\) −18.1725 6.61423i −0.878399 0.319711i
\(429\) −33.5757 8.37652i −1.62105 0.404422i
\(430\) 7.11474 + 12.3231i 0.343103 + 0.594272i
\(431\) 22.3895 11.9047i 1.07846 0.573429i 0.167482 0.985875i \(-0.446437\pi\)
0.910982 + 0.412446i \(0.135325\pi\)
\(432\) −1.29789 5.20556i −0.0624449 0.250453i
\(433\) 4.51426 18.1057i 0.216941 0.870105i −0.758826 0.651294i \(-0.774227\pi\)
0.975767 0.218811i \(-0.0702178\pi\)
\(434\) 2.33440 + 1.24122i 0.112055 + 0.0595806i
\(435\) −0.757104 21.6806i −0.0363003 1.03951i
\(436\) 5.33358 3.87507i 0.255432 0.185582i
\(437\) 12.8838 35.3514i 0.616316 1.69109i
\(438\) −0.733880 2.25865i −0.0350662 0.107923i
\(439\) −8.98858 + 3.27158i −0.429002 + 0.156144i −0.547491 0.836811i \(-0.684417\pi\)
0.118490 + 0.992955i \(0.462195\pi\)
\(440\) 8.10943 + 4.68355i 0.386602 + 0.223279i
\(441\) −0.196177 + 0.164612i −0.00934177 + 0.00783868i
\(442\) 6.53141 16.1658i 0.310668 0.768929i
\(443\) −3.46251 + 7.09920i −0.164509 + 0.337293i −0.965085 0.261938i \(-0.915638\pi\)
0.800576 + 0.599232i \(0.204527\pi\)
\(444\) −5.58782 2.48786i −0.265186 0.118068i
\(445\) −22.6562 25.1622i −1.07400 1.19280i
\(446\) −9.25335 + 11.8438i −0.438159 + 0.560818i
\(447\) −9.69477 + 2.77993i −0.458547 + 0.131486i
\(448\) 2.61504 1.16429i 0.123549 0.0550077i
\(449\) −1.75183 + 1.94561i −0.0826741 + 0.0918189i −0.783062 0.621943i \(-0.786344\pi\)
0.700388 + 0.713762i \(0.253010\pi\)
\(450\) −0.110709 0.627863i −0.00521888 0.0295977i
\(451\) 28.0749 + 25.2861i 1.32199 + 1.19068i
\(452\) 11.2994 9.48129i 0.531477 0.445962i
\(453\) 24.2185 3.40368i 1.13788 0.159919i
\(454\) −20.0356 5.74510i −0.940315 0.269631i
\(455\) −40.8783 + 29.6998i −1.91640 + 1.39235i
\(456\) −1.00943 7.20458i −0.0472707 0.337386i
\(457\) 0.761660 2.34415i 0.0356289 0.109655i −0.931660 0.363330i \(-0.881640\pi\)
0.967289 + 0.253676i \(0.0816396\pi\)
\(458\) −4.41262 + 6.54198i −0.206188 + 0.305687i
\(459\) −10.7632 + 10.3939i −0.502385 + 0.485147i
\(460\) −20.6695 12.9158i −0.963722 0.602201i
\(461\) −7.14302 5.99371i −0.332684 0.279155i 0.461109 0.887344i \(-0.347452\pi\)
−0.793792 + 0.608189i \(0.791896\pi\)
\(462\) −7.44091 + 13.9894i −0.346182 + 0.650847i
\(463\) 6.71560 + 11.6318i 0.312100 + 0.540574i 0.978817 0.204738i \(-0.0656341\pi\)
−0.666716 + 0.745311i \(0.732301\pi\)
\(464\) 4.50285 + 0.957110i 0.209039 + 0.0444327i
\(465\) −2.43392 3.60844i −0.112870 0.167337i
\(466\) 17.3890 4.98620i 0.805528 0.230981i
\(467\) 21.5399 + 23.9225i 0.996748 + 1.10700i 0.994259 + 0.107004i \(0.0341258\pi\)
0.00248961 + 0.999997i \(0.499208\pi\)
\(468\) −1.31150 + 0.278768i −0.0606242 + 0.0128861i
\(469\) −2.09756 2.02559i −0.0968564 0.0935332i
\(470\) −4.63011 18.5704i −0.213571 0.856587i
\(471\) 6.99896 + 4.37344i 0.322495 + 0.201517i
\(472\) 1.72198 9.76586i 0.0792607 0.449510i
\(473\) 9.82632 13.5207i 0.451815 0.621680i
\(474\) 20.5163 0.942345
\(475\) −0.898374 12.9260i −0.0412202 0.593088i
\(476\) −6.45880 4.69259i −0.296038 0.215085i
\(477\) −1.14448 + 1.69677i −0.0524023 + 0.0776896i
\(478\) 11.1914 + 5.95055i 0.511881 + 0.272172i
\(479\) 7.64328 + 18.9178i 0.349230 + 0.864376i 0.994910 + 0.100767i \(0.0321297\pi\)
−0.645680 + 0.763608i \(0.723426\pi\)
\(480\) −4.70104 0.328729i −0.214572 0.0150043i
\(481\) −10.0436 + 20.5923i −0.457946 + 0.938929i
\(482\) −3.82744 + 4.25080i −0.174335 + 0.193619i
\(483\) 20.6197 35.7144i 0.938230 1.62506i
\(484\) 1.15298 10.9394i 0.0524080 0.497246i
\(485\) 0.293605 + 0.106864i 0.0133319 + 0.00485243i
\(486\) 2.17591 + 0.462503i 0.0987012 + 0.0209796i
\(487\) 2.52294 24.0042i 0.114325 1.08773i −0.775473 0.631380i \(-0.782489\pi\)
0.889799 0.456353i \(-0.150845\pi\)
\(488\) −5.15848 4.98149i −0.233514 0.225501i
\(489\) −17.8729 + 11.1682i −0.808239 + 0.505044i
\(490\) 1.26297 + 3.12595i 0.0570550 + 0.141216i
\(491\) −3.90290 8.00213i −0.176135 0.361131i 0.792402 0.609999i \(-0.208830\pi\)
−0.968537 + 0.248868i \(0.919941\pi\)
\(492\) −18.2768 5.24078i −0.823981 0.236273i
\(493\) −3.96744 12.2105i −0.178685 0.549934i
\(494\) −27.1017 + 2.83690i −1.21936 + 0.127638i
\(495\) −1.66529 + 1.12290i −0.0748494 + 0.0504708i
\(496\) 0.867915 0.315895i 0.0389705 0.0141841i
\(497\) −6.56228 + 0.922268i −0.294358 + 0.0413694i
\(498\) 7.27858 0.508968i 0.326161 0.0228074i
\(499\) −2.19898 0.153768i −0.0984398 0.00688358i 0.0204516 0.999791i \(-0.493490\pi\)
−0.118891 + 0.992907i \(0.537934\pi\)
\(500\) 5.66883 + 0.796703i 0.253518 + 0.0356296i
\(501\) −16.2312 + 3.45005i −0.725158 + 0.154137i
\(502\) −1.88904 17.9731i −0.0843122 0.802177i
\(503\) 12.7405 + 18.8885i 0.568070 + 0.842199i 0.998163 0.0605859i \(-0.0192969\pi\)
−0.430093 + 0.902785i \(0.641519\pi\)
\(504\) −0.0214262 + 0.613567i −0.000954401 + 0.0273305i
\(505\) −18.9670 + 32.8518i −0.844020 + 1.46189i
\(506\) −3.98849 + 28.3499i −0.177310 + 1.26030i
\(507\) −7.55891 42.8687i −0.335703 1.90387i
\(508\) 5.44836 13.4852i 0.241732 0.598308i
\(509\) −17.4279 + 1.21868i −0.772480 + 0.0540170i −0.450556 0.892748i \(-0.648774\pi\)
−0.321924 + 0.946765i \(0.604330\pi\)
\(510\) 5.76156 + 11.8130i 0.255126 + 0.523086i
\(511\) 0.142153 + 4.07074i 0.00628850 + 0.180079i
\(512\) 0.309017 0.951057i 0.0136568 0.0420312i
\(513\) 22.2375 + 7.23583i 0.981812 + 0.319470i
\(514\) 12.0167 + 8.73067i 0.530035 + 0.385093i
\(515\) 1.63136 + 2.08804i 0.0718862 + 0.0920101i
\(516\) −1.46054 + 8.28313i −0.0642966 + 0.364644i
\(517\) −17.7172 + 13.8380i −0.779200 + 0.608596i
\(518\) 8.03640 + 6.74334i 0.353099 + 0.296285i
\(519\) −0.322356 + 0.171400i −0.0141498 + 0.00752360i
\(520\) −1.84510 + 17.5550i −0.0809132 + 0.769838i
\(521\) 0.500413 + 4.76111i 0.0219235 + 0.208588i 1.00000 0.000341953i \(0.000108847\pi\)
−0.978076 + 0.208246i \(0.933224\pi\)
\(522\) −0.607859 + 0.778024i −0.0266053 + 0.0340532i
\(523\) 2.41630 3.09272i 0.105657 0.135235i −0.732276 0.681008i \(-0.761542\pi\)
0.837933 + 0.545773i \(0.183764\pi\)
\(524\) −1.80872 17.2088i −0.0790141 0.751769i
\(525\) 1.48447 14.1238i 0.0647877 0.616414i
\(526\) −16.1419 + 8.58279i −0.703820 + 0.374228i
\(527\) −1.97329 1.65579i −0.0859578 0.0721272i
\(528\) 1.89247 + 5.20186i 0.0823592 + 0.226382i
\(529\) 8.94482 50.7286i 0.388905 2.20559i
\(530\) 16.5887 + 21.2325i 0.720566 + 0.922283i
\(531\) 1.72066 + 1.25013i 0.0746702 + 0.0542511i
\(532\) −1.74176 + 12.3553i −0.0755148 + 0.535669i
\(533\) −22.0076 + 67.7326i −0.953257 + 2.93382i
\(534\) −0.698471 20.0016i −0.0302258 0.865553i
\(535\) −23.9370 49.0781i −1.03489 2.12183i
\(536\) −1.01618 + 0.0710586i −0.0438925 + 0.00306926i
\(537\) 3.96658 9.81764i 0.171171 0.423662i
\(538\) 4.23942 + 24.0430i 0.182774 + 1.03657i
\(539\) 2.75137 2.84830i 0.118510 0.122685i
\(540\) 7.57414 13.1188i 0.325939 0.564543i
\(541\) −0.308507 + 8.83448i −0.0132637 + 0.379824i 0.974549 + 0.224176i \(0.0719689\pi\)
−0.987813 + 0.155648i \(0.950253\pi\)
\(542\) 8.31837 + 12.3325i 0.357305 + 0.529726i
\(543\) 2.82046 + 26.8349i 0.121038 + 1.15160i
\(544\) −2.72803 + 0.579861i −0.116963 + 0.0248613i
\(545\) 18.4338 + 2.59069i 0.789615 + 0.110973i
\(546\) −29.7941 2.08340i −1.27507 0.0891615i
\(547\) 2.36867 0.165633i 0.101277 0.00708198i −0.0190281 0.999819i \(-0.506057\pi\)
0.120305 + 0.992737i \(0.461613\pi\)
\(548\) 11.7146 1.64638i 0.500422 0.0703298i
\(549\) 1.44528 0.526039i 0.0616830 0.0224508i
\(550\) 2.71613 + 9.47744i 0.115816 + 0.404120i
\(551\) −13.9451 + 14.4283i −0.594081 + 0.614667i
\(552\) −4.45191 13.7016i −0.189486 0.583178i
\(553\) −33.8249 9.69913i −1.43838 0.412449i
\(554\) −3.99758 8.19626i −0.169841 0.348226i
\(555\) −6.46975 16.0132i −0.274625 0.679722i
\(556\) −7.06102 + 4.41221i −0.299454 + 0.187119i
\(557\) 22.6188 + 21.8427i 0.958390 + 0.925506i 0.997278 0.0737372i \(-0.0234926\pi\)
−0.0388878 + 0.999244i \(0.512381\pi\)
\(558\) −0.0207064 + 0.197008i −0.000876571 + 0.00834001i
\(559\) 30.8163 + 6.55021i 1.30339 + 0.277044i
\(560\) 7.59512 + 2.76440i 0.320952 + 0.116817i
\(561\) 9.92515 11.8249i 0.419040 0.499246i
\(562\) 8.37320 14.5028i 0.353202 0.611764i
\(563\) −10.8520 + 12.0524i −0.457357 + 0.507946i −0.927078 0.374869i \(-0.877688\pi\)
0.469721 + 0.882815i \(0.344354\pi\)
\(564\) 4.95921 10.1679i 0.208820 0.428145i
\(565\) 41.5471 + 2.90525i 1.74790 + 0.122225i
\(566\) 7.66694 + 18.9764i 0.322266 + 0.797636i
\(567\) 21.0046 + 11.1684i 0.882111 + 0.469027i
\(568\) −1.29454 + 1.91923i −0.0543176 + 0.0805291i
\(569\) −6.62574 4.81388i −0.277766 0.201808i 0.440177 0.897911i \(-0.354916\pi\)
−0.717942 + 0.696103i \(0.754916\pi\)
\(570\) 12.0810 16.6132i 0.506016 0.695851i
\(571\) 16.7807 0.702250 0.351125 0.936329i \(-0.385799\pi\)
0.351125 + 0.936329i \(0.385799\pi\)
\(572\) 19.7201 6.40431i 0.824540 0.267777i
\(573\) 4.06110 23.0316i 0.169655 0.962160i
\(574\) 27.6550 + 17.2808i 1.15430 + 0.721285i
\(575\) −6.20756 24.8972i −0.258873 1.03828i
\(576\) 0.154281 + 0.148987i 0.00642837 + 0.00620780i
\(577\) −40.6911 + 8.64917i −1.69399 + 0.360070i −0.950991 0.309219i \(-0.899933\pi\)
−0.743003 + 0.669288i \(0.766599\pi\)
\(578\) −6.17045 6.85298i −0.256657 0.285047i
\(579\) 37.2313 10.6759i 1.54728 0.443676i
\(580\) 7.26849 + 10.7760i 0.301808 + 0.447448i
\(581\) −12.2407 2.60184i −0.507829 0.107942i
\(582\) 0.0923426 + 0.159942i 0.00382772 + 0.00662981i
\(583\) 14.8626 27.9427i 0.615545 1.15727i
\(584\) 1.09004 + 0.914654i 0.0451063 + 0.0378487i
\(585\) −3.21059 2.00620i −0.132742 0.0829461i
\(586\) −2.90959 + 2.80976i −0.120194 + 0.116070i
\(587\) 20.7887 30.8206i 0.858043 1.27210i −0.102714 0.994711i \(-0.532753\pi\)
0.960757 0.277390i \(-0.0894696\pi\)
\(588\) −0.615818 + 1.89529i −0.0253959 + 0.0781606i
\(589\) −0.838710 + 3.93762i −0.0345584 + 0.162247i
\(590\) 22.6525 16.4580i 0.932589 0.677566i
\(591\) −16.8745 4.83869i −0.694126 0.199037i
\(592\) 3.62920 0.510051i 0.149159 0.0209630i
\(593\) −12.1029 + 10.1556i −0.497008 + 0.417039i −0.856530 0.516098i \(-0.827384\pi\)
0.359522 + 0.933137i \(0.382940\pi\)
\(594\) −17.6957 1.86248i −0.726063 0.0764185i
\(595\) −3.91439 22.1996i −0.160474 0.910095i
\(596\) 4.04346 4.49072i 0.165627 0.183947i
\(597\) −12.7639 + 5.68287i −0.522393 + 0.232584i
\(598\) −51.8727 + 14.8743i −2.12123 + 0.608254i
\(599\) 7.31801 9.36662i 0.299006 0.382710i −0.614921 0.788589i \(-0.710812\pi\)
0.913927 + 0.405879i \(0.133034\pi\)
\(600\) −3.31971 3.68691i −0.135526 0.150517i
\(601\) −13.0204 5.79707i −0.531114 0.236467i 0.123616 0.992330i \(-0.460551\pi\)
−0.654730 + 0.755863i \(0.727218\pi\)
\(602\) 6.32383 12.9658i 0.257740 0.528446i
\(603\) 0.0818437 0.202570i 0.00333293 0.00824930i
\(604\) −11.2252 + 9.41906i −0.456747 + 0.383256i
\(605\) 23.7986 19.9577i 0.967551 0.811395i
\(606\) −21.0702 + 7.66892i −0.855917 + 0.311528i
\(607\) 10.5058 + 32.3337i 0.426419 + 1.31238i 0.901629 + 0.432511i \(0.142372\pi\)
−0.475210 + 0.879873i \(0.657628\pi\)
\(608\) 2.80043 + 3.34030i 0.113572 + 0.135467i
\(609\) −17.7927 + 12.9272i −0.720998 + 0.523836i
\(610\) −0.706654 20.2359i −0.0286116 0.819329i
\(611\) −37.4143 19.8936i −1.51362 0.804807i
\(612\) 0.144710 0.580400i 0.00584955 0.0234613i
\(613\) −0.706162 2.83226i −0.0285216 0.114394i 0.954348 0.298698i \(-0.0965524\pi\)
−0.982869 + 0.184304i \(0.940997\pi\)
\(614\) 13.6235 7.24372i 0.549798 0.292333i
\(615\) −26.8428 46.4931i −1.08241 1.87478i
\(616\) −0.660892 9.47088i −0.0266281 0.381593i
\(617\) 18.1205 + 6.59531i 0.729502 + 0.265517i 0.679954 0.733255i \(-0.262000\pi\)
0.0495482 + 0.998772i \(0.484222\pi\)
\(618\) −0.0546613 + 1.56530i −0.00219880 + 0.0629654i
\(619\) −13.8288 + 6.15696i −0.555825 + 0.247469i −0.665372 0.746512i \(-0.731727\pi\)
0.109546 + 0.993982i \(0.465060\pi\)
\(620\) 2.38244 + 1.06073i 0.0956810 + 0.0425999i
\(621\) 45.8593 + 6.44510i 1.84027 + 0.258633i
\(622\) 13.4058 8.37687i 0.537523 0.335882i
\(623\) −8.30424 + 33.3065i −0.332702 + 1.33440i
\(624\) −7.50541 + 7.24789i −0.300457 + 0.290148i
\(625\) 19.1019 + 24.4493i 0.764077 + 0.977974i
\(626\) 5.44334 0.217560
\(627\) −23.5982 5.02996i −0.942420 0.200877i
\(628\) −4.94493 −0.197324
\(629\) −6.29283 8.05445i −0.250911 0.321152i
\(630\) −1.24698 + 1.20420i −0.0496810 + 0.0479764i
\(631\) 6.33038 25.3898i 0.252008 1.01075i −0.702289 0.711892i \(-0.747839\pi\)
0.954297 0.298858i \(-0.0966058\pi\)
\(632\) −10.4248 + 6.51412i −0.414675 + 0.259118i
\(633\) 11.3277 + 1.59201i 0.450237 + 0.0632767i
\(634\) −13.6778 6.08973i −0.543213 0.241854i
\(635\) 37.5163 16.7034i 1.48879 0.662852i
\(636\) −0.555831 + 15.9169i −0.0220401 + 0.631147i
\(637\) 7.01438 + 2.55302i 0.277920 + 0.101154i
\(638\) 8.09262 12.9467i 0.320390 0.512566i
\(639\) −0.248257 0.429993i −0.00982088 0.0170103i
\(640\) 2.49307 1.32559i 0.0985473 0.0523985i
\(641\) 11.5922 + 46.4936i 0.457862 + 1.83639i 0.542611 + 0.839984i \(0.317436\pi\)
−0.0847490 + 0.996402i \(0.527009\pi\)
\(642\) 7.80830 31.3174i 0.308169 1.23600i
\(643\) −13.5415 7.20015i −0.534025 0.283946i 0.180477 0.983579i \(-0.442236\pi\)
−0.714503 + 0.699633i \(0.753347\pi\)
\(644\) 0.862340 + 24.6942i 0.0339810 + 0.973087i
\(645\) −19.2132 + 13.9592i −0.756520 + 0.549644i
\(646\) 4.16274 11.4220i 0.163781 0.449391i
\(647\) −1.56106 4.80445i −0.0613717 0.188883i 0.915670 0.401931i \(-0.131661\pi\)
−0.977042 + 0.213048i \(0.931661\pi\)
\(648\) 7.80938 2.84238i 0.306782 0.111659i
\(649\) −28.4806 16.4488i −1.11796 0.645671i
\(650\) −14.2356 + 11.9451i −0.558366 + 0.468525i
\(651\) −1.65299 + 4.09128i −0.0647856 + 0.160350i
\(652\) 5.53557 11.3496i 0.216790 0.444484i
\(653\) 43.4782 + 19.3577i 1.70143 + 0.757526i 0.998949 + 0.0458247i \(0.0145916\pi\)
0.702482 + 0.711701i \(0.252075\pi\)
\(654\) 7.36250 + 8.17689i 0.287897 + 0.319742i
\(655\) 30.0800 38.5006i 1.17532 1.50434i
\(656\) 10.9508 3.14009i 0.427557 0.122600i
\(657\) −0.278803 + 0.124131i −0.0108771 + 0.00484282i
\(658\) −12.9830 + 14.4191i −0.506132 + 0.562116i
\(659\) 4.81988 + 27.3349i 0.187756 + 1.06482i 0.922363 + 0.386323i \(0.126255\pi\)
−0.734608 + 0.678492i \(0.762634\pi\)
\(660\) −6.35922 + 14.2775i −0.247532 + 0.555750i
\(661\) 5.42959 4.55597i 0.211187 0.177207i −0.531058 0.847335i \(-0.678206\pi\)
0.742245 + 0.670129i \(0.233761\pi\)
\(662\) 17.8018 2.50188i 0.691887 0.0972383i
\(663\) 27.9722 + 8.02090i 1.08635 + 0.311506i
\(664\) −3.53680 + 2.56963i −0.137254 + 0.0997211i
\(665\) −27.7716 + 21.6786i −1.07694 + 0.840661i
\(666\) −0.242895 + 0.747555i −0.00941200 + 0.0289672i
\(667\) −22.2206 + 32.9433i −0.860384 + 1.27557i
\(668\) 7.15200 6.90661i 0.276719 0.267225i
\(669\) −21.2731 13.2929i −0.822466 0.513934i
\(670\) −2.20336 1.84884i −0.0851233 0.0714269i
\(671\) −21.3784 + 10.4231i −0.825304 + 0.402380i
\(672\) 2.38876 + 4.13745i 0.0921484 + 0.159606i
\(673\) −10.4100 2.21271i −0.401275 0.0852936i 0.00285338 0.999996i \(-0.499092\pi\)
−0.404128 + 0.914702i \(0.632425\pi\)
\(674\) 5.23207 + 7.75687i 0.201532 + 0.298783i
\(675\) 15.3299 4.39579i 0.590050 0.169194i
\(676\) 17.4521 + 19.3825i 0.671233 + 0.745480i
\(677\) 5.76398 1.22517i 0.221528 0.0470871i −0.0958106 0.995400i \(-0.530544\pi\)
0.317338 + 0.948312i \(0.397211\pi\)
\(678\) 17.7087 + 17.1011i 0.680100 + 0.656765i
\(679\) −0.0766307 0.307349i −0.00294081 0.0117950i
\(680\) −6.67829 4.17306i −0.256101 0.160030i
\(681\) 6.04065 34.2582i 0.231478 1.31278i
\(682\) 0.000442924 3.06329i 1.69605e−5 0.117299i
\(683\) −12.9719 −0.496357 −0.248178 0.968714i \(-0.579832\pi\)
−0.248178 + 0.968714i \(0.579832\pi\)
\(684\) −0.907204 + 0.225783i −0.0346878 + 0.00863303i
\(685\) 27.0229 + 19.6333i 1.03249 + 0.750149i
\(686\) −9.29362 + 13.7784i −0.354832 + 0.526060i
\(687\) −11.6285 6.18298i −0.443654 0.235895i
\(688\) −1.88784 4.67256i −0.0719732 0.178140i
\(689\) 59.5110 + 4.16142i 2.26719 + 0.158537i
\(690\) 17.8322 36.5615i 0.678862 1.39187i
\(691\) 8.48023 9.41825i 0.322603 0.358287i −0.559928 0.828541i \(-0.689171\pi\)
0.882531 + 0.470254i \(0.155838\pi\)
\(692\) 0.109375 0.189443i 0.00415780 0.00720152i
\(693\) 1.88783 + 0.763052i 0.0717129 + 0.0289859i
\(694\) 1.36818 + 0.497978i 0.0519355 + 0.0189030i
\(695\) −22.9959 4.88793i −0.872285 0.185410i
\(696\) −0.803102 + 7.64101i −0.0304415 + 0.289632i
\(697\) −22.8551 22.0709i −0.865700 0.835997i
\(698\) 2.15425 1.34613i 0.0815396 0.0509516i
\(699\) 11.3100 + 27.9931i 0.427782 + 1.05880i
\(700\) 3.73015 + 7.64794i 0.140986 + 0.289065i
\(701\) 26.4010 + 7.57035i 0.997150 + 0.285928i 0.734238 0.678892i \(-0.237539\pi\)
0.262912 + 0.964820i \(0.415317\pi\)
\(702\) −10.3641 31.8975i −0.391169 1.20389i
\(703\) −6.50372 + 14.5910i −0.245292 + 0.550308i
\(704\) −2.61324 2.04230i −0.0984902 0.0769719i
\(705\) 30.0162 10.9250i 1.13048 0.411459i
\(706\) −11.8565 + 1.66632i −0.446225 + 0.0627128i
\(707\) 38.3635 2.68264i 1.44281 0.100891i
\(708\) 16.5102 + 1.15451i 0.620492 + 0.0433891i
\(709\) 19.7239 + 2.77201i 0.740747 + 0.104105i 0.499446 0.866345i \(-0.333537\pi\)
0.241301 + 0.970450i \(0.422426\pi\)
\(710\) −6.39377 + 1.35904i −0.239954 + 0.0510038i
\(711\) −0.275587 2.62203i −0.0103353 0.0983339i
\(712\) 6.70559 + 9.94145i 0.251303 + 0.372572i
\(713\) −0.278241 + 7.96778i −0.0104202 + 0.298396i
\(714\) 6.66220 11.5393i 0.249326 0.431846i
\(715\) 52.6153 + 25.6716i 1.96770 + 0.960064i
\(716\) 1.10169 + 6.24797i 0.0411719 + 0.233498i
\(717\) −7.92459 + 19.6141i −0.295949 + 0.732500i
\(718\) 20.9859 1.46748i 0.783188 0.0547659i
\(719\) −7.04806 14.4507i −0.262848 0.538919i 0.726027 0.687666i \(-0.241365\pi\)
−0.988875 + 0.148747i \(0.952476\pi\)
\(720\) 0.0211347 + 0.605220i 0.000787645 + 0.0225552i
\(721\) 0.830116 2.55483i 0.0309151 0.0951470i
\(722\) −18.8173 + 2.62835i −0.700308 + 0.0978169i
\(723\) −7.72340 5.61138i −0.287236 0.208689i
\(724\) −9.95346 12.7398i −0.369917 0.473473i
\(725\) −2.37623 + 13.4763i −0.0882509 + 0.500496i
\(726\) 18.3589 + 0.00530906i 0.681362 + 0.000197038i
\(727\) −8.42514 7.06953i −0.312471 0.262194i 0.473041 0.881040i \(-0.343156\pi\)
−0.785512 + 0.618846i \(0.787601\pi\)
\(728\) 15.8005 8.40127i 0.585605 0.311372i
\(729\) −2.99416 + 28.4875i −0.110895 + 1.05509i
\(730\) 0.419975 + 3.99580i 0.0155440 + 0.147891i
\(731\) −8.65320 + 11.0756i −0.320050 + 0.409645i
\(732\) 7.36857 9.43134i 0.272350 0.348593i
\(733\) −5.52843 52.5995i −0.204197 1.94281i −0.315287 0.948996i \(-0.602101\pi\)
0.111090 0.993810i \(-0.464566\pi\)
\(734\) 0.976732 9.29298i 0.0360518 0.343010i
\(735\) −4.96826 + 2.64167i −0.183257 + 0.0974396i
\(736\) 6.61248 + 5.54853i 0.243739 + 0.204522i
\(737\) −0.931720 + 3.24752i −0.0343203 + 0.119624i
\(738\) −0.424280 + 2.40621i −0.0156180 + 0.0885739i
\(739\) −22.7335 29.0975i −0.836264 1.07037i −0.996525 0.0832939i \(-0.973456\pi\)
0.160261 0.987075i \(-0.448766\pi\)
\(740\) 8.37175 + 6.08243i 0.307752 + 0.223595i
\(741\) −9.43690 44.4898i −0.346673 1.63437i
\(742\) 8.44115 25.9792i 0.309884 0.953725i
\(743\) −0.0233715 0.669271i −0.000857416 0.0245532i 0.998887 0.0471735i \(-0.0150214\pi\)
−0.999744 + 0.0226203i \(0.992799\pi\)
\(744\) 0.675751 + 1.38550i 0.0247742 + 0.0507947i
\(745\) 17.0209 1.19022i 0.623598 0.0436062i
\(746\) 4.16304 10.3039i 0.152420 0.377252i
\(747\) −0.162817 0.923383i −0.00595717 0.0337848i
\(748\) −1.28867 + 9.15979i −0.0471186 + 0.334915i
\(749\) −27.6788 + 47.9410i −1.01136 + 1.75173i
\(750\) −0.333437 + 9.54838i −0.0121754 + 0.348658i
\(751\) 2.28744 + 3.39127i 0.0834699 + 0.123749i 0.868460 0.495759i \(-0.165110\pi\)
−0.784990 + 0.619508i \(0.787332\pi\)
\(752\) 0.708519 + 6.74110i 0.0258370 + 0.245823i
\(753\) 29.5030 6.27105i 1.07515 0.228530i
\(754\) 28.4985 + 4.00521i 1.03785 + 0.145861i
\(755\) −41.2744 2.88619i −1.50213 0.105039i
\(756\) −15.3198 + 1.07127i −0.557176 + 0.0389615i
\(757\) −21.8844 + 3.07565i −0.795402 + 0.111786i −0.525157 0.851005i \(-0.675994\pi\)
−0.270245 + 0.962792i \(0.587105\pi\)
\(758\) −10.6227 + 3.86635i −0.385834 + 0.140432i
\(759\) −47.7522 1.67446i −1.73330 0.0607790i
\(760\) −0.863742 + 12.2773i −0.0313312 + 0.445346i
\(761\) −11.4780 35.3257i −0.416077 1.28055i −0.911284 0.411779i \(-0.864908\pi\)
0.495207 0.868775i \(-0.335092\pi\)
\(762\) 23.3338 + 6.69086i 0.845295 + 0.242384i
\(763\) −8.27279 16.9617i −0.299495 0.614056i
\(764\) 5.24922 + 12.9923i 0.189910 + 0.470044i
\(765\) 1.43233 0.895020i 0.0517860 0.0323595i
\(766\) 5.71312 + 5.51709i 0.206423 + 0.199341i
\(767\) 6.48008 61.6538i 0.233982 2.22619i
\(768\) 1.63252 + 0.347002i 0.0589084 + 0.0125214i
\(769\) −20.4965 7.46013i −0.739124 0.269019i −0.0551021 0.998481i \(-0.517548\pi\)
−0.684022 + 0.729462i \(0.739771\pi\)
\(770\) 17.2340 20.5327i 0.621072 0.739947i
\(771\) −12.3952