Properties

Label 637.2.w.b.92.17
Level $637$
Weight $2$
Character 637.92
Analytic conductor $5.086$
Analytic rank $0$
Dimension $174$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 637 = 7^{2} \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 637.w (of order \(7\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.08647060876\)
Analytic rank: \(0\)
Dimension: \(174\)
Relative dimension: \(29\) over \(\Q(\zeta_{7})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label 92.17
Character \(\chi\) \(=\) 637.92
Dual form 637.2.w.b.547.17

$q$-expansion

\(f(q)\) \(=\) \(q+(0.311250 - 0.390295i) q^{2} +(-1.89343 - 0.911826i) q^{3} +(0.389588 + 1.70690i) q^{4} +(-2.41457 - 1.16280i) q^{5} +(-0.945210 + 0.455189i) q^{6} +(0.718518 - 2.54632i) q^{7} +(1.68699 + 0.812413i) q^{8} +(0.883165 + 1.10745i) q^{9} +O(q^{10})\) \(q+(0.311250 - 0.390295i) q^{2} +(-1.89343 - 0.911826i) q^{3} +(0.389588 + 1.70690i) q^{4} +(-2.41457 - 1.16280i) q^{5} +(-0.945210 + 0.455189i) q^{6} +(0.718518 - 2.54632i) q^{7} +(1.68699 + 0.812413i) q^{8} +(0.883165 + 1.10745i) q^{9} +(-1.20537 + 0.580476i) q^{10} +(-1.57659 + 1.97698i) q^{11} +(0.818736 - 3.58712i) q^{12} +(0.623490 - 0.781831i) q^{13} +(-0.770177 - 1.07298i) q^{14} +(3.51155 + 4.40334i) q^{15} +(-2.31266 + 1.11372i) q^{16} +(-0.652379 + 2.85826i) q^{17} +0.707119 q^{18} -0.653699 q^{19} +(1.04409 - 4.57444i) q^{20} +(-3.68226 + 4.16610i) q^{21} +(0.280892 + 1.23067i) q^{22} +(0.927084 + 4.06182i) q^{23} +(-2.45342 - 3.07649i) q^{24} +(1.36062 + 1.70616i) q^{25} +(-0.111084 - 0.486690i) q^{26} +(0.740510 + 3.24439i) q^{27} +(4.62623 + 0.234421i) q^{28} +(-1.41763 + 6.21106i) q^{29} +2.81157 q^{30} -2.14402 q^{31} +(-1.11844 + 4.90022i) q^{32} +(4.78780 - 2.30568i) q^{33} +(0.912513 + 1.14425i) q^{34} +(-4.69576 + 5.31278i) q^{35} +(-1.54624 + 1.93892i) q^{36} +(-1.05766 + 4.63391i) q^{37} +(-0.203464 + 0.255136i) q^{38} +(-1.89343 + 0.911826i) q^{39} +(-3.12869 - 3.92326i) q^{40} +(6.69877 + 3.22596i) q^{41} +(0.479906 + 2.73387i) q^{42} +(-3.22861 + 1.55482i) q^{43} +(-3.98871 - 1.92086i) q^{44} +(-0.844722 - 3.70097i) q^{45} +(1.87386 + 0.902406i) q^{46} +(-1.15931 + 1.45373i) q^{47} +5.39437 q^{48} +(-5.96746 - 3.65915i) q^{49} +1.08940 q^{50} +(3.84147 - 4.81705i) q^{51} +(1.57741 + 0.759641i) q^{52} +(1.09120 + 4.78085i) q^{53} +(1.49675 + 0.720799i) q^{54} +(6.10560 - 2.94030i) q^{55} +(3.28080 - 3.71188i) q^{56} +(1.23773 + 0.596059i) q^{57} +(1.98291 + 2.48649i) q^{58} +(-7.68680 + 3.70177i) q^{59} +(-6.14799 + 7.70933i) q^{60} +(0.103882 - 0.455137i) q^{61} +(-0.667327 + 0.836802i) q^{62} +(3.45450 - 1.45309i) q^{63} +(-1.63641 - 2.05199i) q^{64} +(-2.41457 + 1.16280i) q^{65} +(0.590307 - 2.58630i) q^{66} +9.76851 q^{67} -5.13291 q^{68} +(1.94831 - 8.53609i) q^{69} +(0.611995 + 3.48634i) q^{70} +(-1.65743 - 7.26167i) q^{71} +(0.590183 + 2.58576i) q^{72} +(-5.88409 - 7.37842i) q^{73} +(1.47940 + 1.85510i) q^{74} +(-1.02051 - 4.47113i) q^{75} +(-0.254673 - 1.11580i) q^{76} +(3.90120 + 5.43498i) q^{77} +(-0.233448 + 1.02280i) q^{78} -4.47980 q^{79} +6.87912 q^{80} +(2.50181 - 10.9611i) q^{81} +(3.34407 - 1.61042i) q^{82} +(0.977282 + 1.22547i) q^{83} +(-8.54566 - 4.66217i) q^{84} +(4.89879 - 6.14289i) q^{85} +(-0.398068 + 1.74405i) q^{86} +(8.34759 - 10.4675i) q^{87} +(-4.26581 + 2.05430i) q^{88} +(-1.46825 - 1.84112i) q^{89} +(-1.70739 - 0.822236i) q^{90} +(-1.54280 - 2.14936i) q^{91} +(-6.57193 + 3.16487i) q^{92} +(4.05955 + 1.95497i) q^{93} +(0.206549 + 0.904950i) q^{94} +(1.57840 + 0.760119i) q^{95} +(6.58583 - 8.25837i) q^{96} +8.04462 q^{97} +(-3.28552 + 1.19016i) q^{98} -3.58179 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 174 q - 3 q^{2} - 31 q^{4} - 4 q^{5} - 2 q^{6} + 9 q^{7} - 15 q^{8} - 31 q^{9} + O(q^{10}) \) \( 174 q - 3 q^{2} - 31 q^{4} - 4 q^{5} - 2 q^{6} + 9 q^{7} - 15 q^{8} - 31 q^{9} - 10 q^{10} - 5 q^{11} + 25 q^{12} - 29 q^{13} + 15 q^{14} - 10 q^{15} - 51 q^{16} - 9 q^{17} + 44 q^{18} + 24 q^{19} + 63 q^{20} - 28 q^{21} - 8 q^{22} - 13 q^{23} - 48 q^{24} - 49 q^{25} - 3 q^{26} - 9 q^{27} - 44 q^{28} + 2 q^{29} - 22 q^{30} + 10 q^{31} + 24 q^{32} - 26 q^{33} + 118 q^{34} + 5 q^{35} - 55 q^{36} - 32 q^{37} + 16 q^{38} + 42 q^{40} - 14 q^{41} + 4 q^{42} - 50 q^{43} + 35 q^{44} - q^{45} + 4 q^{46} - 24 q^{47} - 116 q^{48} - 25 q^{49} + 156 q^{50} + 12 q^{51} - 31 q^{52} - 30 q^{53} - 78 q^{54} + 25 q^{55} + 3 q^{56} - 63 q^{57} - 12 q^{58} - 4 q^{59} + 128 q^{60} - 42 q^{61} - 38 q^{62} - 85 q^{63} - 105 q^{64} - 4 q^{65} + 15 q^{66} + 94 q^{67} + 214 q^{68} + 32 q^{69} - 57 q^{70} - 29 q^{71} - 64 q^{72} - 66 q^{73} - 90 q^{74} + 131 q^{75} - 21 q^{76} - 82 q^{77} + 19 q^{78} + 6 q^{79} + 22 q^{80} + 49 q^{81} - 50 q^{82} + 25 q^{83} + 89 q^{84} - 86 q^{85} - 28 q^{86} + 24 q^{87} + 48 q^{88} - 50 q^{89} - 155 q^{90} - 5 q^{91} - 98 q^{92} + 89 q^{93} - 28 q^{94} - 130 q^{95} - 105 q^{96} - 42 q^{97} + 195 q^{98} + 438 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/637\mathbb{Z}\right)^\times\).

\(n\) \(197\) \(248\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{7}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.311250 0.390295i 0.220087 0.275981i −0.659514 0.751692i \(-0.729238\pi\)
0.879601 + 0.475712i \(0.157809\pi\)
\(3\) −1.89343 0.911826i −1.09317 0.526443i −0.201665 0.979455i \(-0.564635\pi\)
−0.891505 + 0.453012i \(0.850350\pi\)
\(4\) 0.389588 + 1.70690i 0.194794 + 0.853448i
\(5\) −2.41457 1.16280i −1.07983 0.520019i −0.192567 0.981284i \(-0.561681\pi\)
−0.887262 + 0.461265i \(0.847396\pi\)
\(6\) −0.945210 + 0.455189i −0.385881 + 0.185830i
\(7\) 0.718518 2.54632i 0.271574 0.962417i
\(8\) 1.68699 + 0.812413i 0.596442 + 0.287231i
\(9\) 0.883165 + 1.10745i 0.294388 + 0.369151i
\(10\) −1.20537 + 0.580476i −0.381172 + 0.183563i
\(11\) −1.57659 + 1.97698i −0.475358 + 0.596080i −0.960474 0.278369i \(-0.910206\pi\)
0.485116 + 0.874450i \(0.338777\pi\)
\(12\) 0.818736 3.58712i 0.236349 1.03551i
\(13\) 0.623490 0.781831i 0.172925 0.216841i
\(14\) −0.770177 1.07298i −0.205838 0.286765i
\(15\) 3.51155 + 4.40334i 0.906677 + 1.13694i
\(16\) −2.31266 + 1.11372i −0.578165 + 0.278430i
\(17\) −0.652379 + 2.85826i −0.158225 + 0.693230i 0.832119 + 0.554598i \(0.187128\pi\)
−0.990344 + 0.138632i \(0.955729\pi\)
\(18\) 0.707119 0.166670
\(19\) −0.653699 −0.149969 −0.0749844 0.997185i \(-0.523891\pi\)
−0.0749844 + 0.997185i \(0.523891\pi\)
\(20\) 1.04409 4.57444i 0.233465 1.02288i
\(21\) −3.68226 + 4.16610i −0.803535 + 0.909117i
\(22\) 0.280892 + 1.23067i 0.0598864 + 0.262379i
\(23\) 0.927084 + 4.06182i 0.193310 + 0.846948i 0.974809 + 0.223041i \(0.0715984\pi\)
−0.781499 + 0.623907i \(0.785544\pi\)
\(24\) −2.45342 3.07649i −0.500801 0.627985i
\(25\) 1.36062 + 1.70616i 0.272123 + 0.341231i
\(26\) −0.111084 0.486690i −0.0217853 0.0954478i
\(27\) 0.740510 + 3.24439i 0.142511 + 0.624383i
\(28\) 4.62623 + 0.234421i 0.874275 + 0.0443015i
\(29\) −1.41763 + 6.21106i −0.263248 + 1.15337i 0.654456 + 0.756100i \(0.272898\pi\)
−0.917704 + 0.397265i \(0.869959\pi\)
\(30\) 2.81157 0.513320
\(31\) −2.14402 −0.385078 −0.192539 0.981289i \(-0.561672\pi\)
−0.192539 + 0.981289i \(0.561672\pi\)
\(32\) −1.11844 + 4.90022i −0.197715 + 0.866244i
\(33\) 4.78780 2.30568i 0.833450 0.401368i
\(34\) 0.912513 + 1.14425i 0.156495 + 0.196238i
\(35\) −4.69576 + 5.31278i −0.793729 + 0.898023i
\(36\) −1.54624 + 1.93892i −0.257706 + 0.323154i
\(37\) −1.05766 + 4.63391i −0.173878 + 0.761809i 0.810500 + 0.585739i \(0.199196\pi\)
−0.984378 + 0.176070i \(0.943661\pi\)
\(38\) −0.203464 + 0.255136i −0.0330062 + 0.0413885i
\(39\) −1.89343 + 0.911826i −0.303191 + 0.146009i
\(40\) −3.12869 3.92326i −0.494690 0.620322i
\(41\) 6.69877 + 3.22596i 1.04617 + 0.503810i 0.876355 0.481666i \(-0.159968\pi\)
0.169817 + 0.985476i \(0.445682\pi\)
\(42\) 0.479906 + 2.73387i 0.0740511 + 0.421845i
\(43\) −3.22861 + 1.55482i −0.492359 + 0.237108i −0.663552 0.748130i \(-0.730952\pi\)
0.171193 + 0.985237i \(0.445238\pi\)
\(44\) −3.98871 1.92086i −0.601321 0.289581i
\(45\) −0.844722 3.70097i −0.125924 0.551708i
\(46\) 1.87386 + 0.902406i 0.276286 + 0.133052i
\(47\) −1.15931 + 1.45373i −0.169103 + 0.212049i −0.859161 0.511706i \(-0.829014\pi\)
0.690057 + 0.723755i \(0.257585\pi\)
\(48\) 5.39437 0.778610
\(49\) −5.96746 3.65915i −0.852495 0.522736i
\(50\) 1.08940 0.154064
\(51\) 3.84147 4.81705i 0.537913 0.674521i
\(52\) 1.57741 + 0.759641i 0.218747 + 0.105343i
\(53\) 1.09120 + 4.78085i 0.149888 + 0.656700i 0.992915 + 0.118829i \(0.0379141\pi\)
−0.843027 + 0.537871i \(0.819229\pi\)
\(54\) 1.49675 + 0.720799i 0.203682 + 0.0980883i
\(55\) 6.10560 2.94030i 0.823279 0.396470i
\(56\) 3.28080 3.71188i 0.438415 0.496021i
\(57\) 1.23773 + 0.596059i 0.163941 + 0.0789500i
\(58\) 1.98291 + 2.48649i 0.260369 + 0.326492i
\(59\) −7.68680 + 3.70177i −1.00074 + 0.481929i −0.861188 0.508286i \(-0.830279\pi\)
−0.139548 + 0.990215i \(0.544565\pi\)
\(60\) −6.14799 + 7.70933i −0.793702 + 0.995271i
\(61\) 0.103882 0.455137i 0.0133007 0.0582744i −0.967842 0.251559i \(-0.919057\pi\)
0.981143 + 0.193284i \(0.0619140\pi\)
\(62\) −0.667327 + 0.836802i −0.0847506 + 0.106274i
\(63\) 3.45450 1.45309i 0.435226 0.183072i
\(64\) −1.63641 2.05199i −0.204551 0.256499i
\(65\) −2.41457 + 1.16280i −0.299491 + 0.144227i
\(66\) 0.590307 2.58630i 0.0726617 0.318352i
\(67\) 9.76851 1.19341 0.596707 0.802459i \(-0.296476\pi\)
0.596707 + 0.802459i \(0.296476\pi\)
\(68\) −5.13291 −0.622457
\(69\) 1.94831 8.53609i 0.234549 1.02762i
\(70\) 0.611995 + 3.48634i 0.0731474 + 0.416697i
\(71\) −1.65743 7.26167i −0.196701 0.861801i −0.972884 0.231294i \(-0.925704\pi\)
0.776183 0.630507i \(-0.217153\pi\)
\(72\) 0.590183 + 2.58576i 0.0695537 + 0.304735i
\(73\) −5.88409 7.37842i −0.688681 0.863579i 0.307440 0.951567i \(-0.400528\pi\)
−0.996121 + 0.0879886i \(0.971956\pi\)
\(74\) 1.47940 + 1.85510i 0.171976 + 0.215651i
\(75\) −1.02051 4.47113i −0.117838 0.516281i
\(76\) −0.254673 1.11580i −0.0292130 0.127991i
\(77\) 3.90120 + 5.43498i 0.444583 + 0.619373i
\(78\) −0.233448 + 1.02280i −0.0264327 + 0.115809i
\(79\) −4.47980 −0.504017 −0.252008 0.967725i \(-0.581091\pi\)
−0.252008 + 0.967725i \(0.581091\pi\)
\(80\) 6.87912 0.769109
\(81\) 2.50181 10.9611i 0.277979 1.21790i
\(82\) 3.34407 1.61042i 0.369291 0.177841i
\(83\) 0.977282 + 1.22547i 0.107271 + 0.134513i 0.832569 0.553922i \(-0.186869\pi\)
−0.725298 + 0.688435i \(0.758298\pi\)
\(84\) −8.54566 4.66217i −0.932408 0.508685i
\(85\) 4.89879 6.14289i 0.531349 0.666290i
\(86\) −0.398068 + 1.74405i −0.0429248 + 0.188066i
\(87\) 8.34759 10.4675i 0.894956 1.12224i
\(88\) −4.26581 + 2.05430i −0.454737 + 0.218990i
\(89\) −1.46825 1.84112i −0.155634 0.195159i 0.697901 0.716194i \(-0.254117\pi\)
−0.853535 + 0.521035i \(0.825546\pi\)
\(90\) −1.70739 0.822236i −0.179975 0.0866713i
\(91\) −1.54280 2.14936i −0.161730 0.225314i
\(92\) −6.57193 + 3.16487i −0.685171 + 0.329961i
\(93\) 4.05955 + 1.95497i 0.420955 + 0.202721i
\(94\) 0.206549 + 0.904950i 0.0213039 + 0.0933385i
\(95\) 1.57840 + 0.760119i 0.161941 + 0.0779865i
\(96\) 6.58583 8.25837i 0.672164 0.842866i
\(97\) 8.04462 0.816808 0.408404 0.912801i \(-0.366085\pi\)
0.408404 + 0.912801i \(0.366085\pi\)
\(98\) −3.28552 + 1.19016i −0.331888 + 0.120225i
\(99\) −3.58179 −0.359984
\(100\) −2.38216 + 2.98713i −0.238216 + 0.298713i
\(101\) −4.58849 2.20970i −0.456572 0.219874i 0.191439 0.981505i \(-0.438685\pi\)
−0.648011 + 0.761631i \(0.724399\pi\)
\(102\) −0.684414 2.99861i −0.0677671 0.296907i
\(103\) −10.1930 4.90870i −1.00435 0.483669i −0.141937 0.989876i \(-0.545333\pi\)
−0.862412 + 0.506207i \(0.831047\pi\)
\(104\) 1.68699 0.812413i 0.165423 0.0796636i
\(105\) 13.7354 5.77763i 1.34044 0.563839i
\(106\) 2.20558 + 1.06215i 0.214225 + 0.103165i
\(107\) 5.77950 + 7.24726i 0.558725 + 0.700619i 0.978322 0.207092i \(-0.0663999\pi\)
−0.419597 + 0.907711i \(0.637828\pi\)
\(108\) −5.24934 + 2.52795i −0.505118 + 0.243252i
\(109\) 0.433043 0.543019i 0.0414780 0.0520118i −0.760660 0.649151i \(-0.775124\pi\)
0.802138 + 0.597139i \(0.203696\pi\)
\(110\) 0.752783 3.29816i 0.0717750 0.314467i
\(111\) 6.22791 7.80955i 0.591127 0.741250i
\(112\) 1.17419 + 6.68900i 0.110951 + 0.632051i
\(113\) 5.43423 + 6.81431i 0.511209 + 0.641036i 0.968717 0.248170i \(-0.0798290\pi\)
−0.457507 + 0.889206i \(0.651258\pi\)
\(114\) 0.617883 0.297557i 0.0578700 0.0278687i
\(115\) 2.48456 10.8856i 0.231686 1.01508i
\(116\) −11.1539 −1.03562
\(117\) 1.41649 0.130954
\(118\) −0.947735 + 4.15230i −0.0872461 + 0.382250i
\(119\) 6.80929 + 3.71488i 0.624207 + 0.340542i
\(120\) 2.34662 + 10.2812i 0.214216 + 0.938543i
\(121\) 1.02492 + 4.49047i 0.0931745 + 0.408224i
\(122\) −0.145305 0.182206i −0.0131553 0.0164962i
\(123\) −9.74211 12.2162i −0.878417 1.10150i
\(124\) −0.835285 3.65962i −0.0750108 0.328644i
\(125\) 1.68036 + 7.36214i 0.150296 + 0.658490i
\(126\) 0.508078 1.80055i 0.0452632 0.160406i
\(127\) 2.64810 11.6021i 0.234981 1.02952i −0.710464 0.703734i \(-0.751515\pi\)
0.945444 0.325784i \(-0.105628\pi\)
\(128\) −11.3627 −1.00433
\(129\) 7.53086 0.663055
\(130\) −0.297702 + 1.30432i −0.0261102 + 0.114396i
\(131\) −18.9995 + 9.14970i −1.66000 + 0.799413i −0.661210 + 0.750201i \(0.729957\pi\)
−0.998788 + 0.0492120i \(0.984329\pi\)
\(132\) 5.80084 + 7.27402i 0.504898 + 0.633122i
\(133\) −0.469694 + 1.66452i −0.0407277 + 0.144333i
\(134\) 3.04045 3.81261i 0.262655 0.329359i
\(135\) 1.98455 8.69487i 0.170803 0.748336i
\(136\) −3.42265 + 4.29186i −0.293489 + 0.368024i
\(137\) −5.21162 + 2.50979i −0.445259 + 0.214425i −0.643059 0.765817i \(-0.722335\pi\)
0.197799 + 0.980243i \(0.436621\pi\)
\(138\) −2.72519 3.41728i −0.231983 0.290898i
\(139\) −12.9396 6.23136i −1.09752 0.528537i −0.204641 0.978837i \(-0.565603\pi\)
−0.892877 + 0.450300i \(0.851317\pi\)
\(140\) −10.8978 5.94539i −0.921030 0.502477i
\(141\) 3.52063 1.69545i 0.296490 0.142782i
\(142\) −3.35007 1.61331i −0.281132 0.135386i
\(143\) 0.562677 + 2.46525i 0.0470534 + 0.206154i
\(144\) −3.27585 1.57757i −0.272988 0.131464i
\(145\) 10.6452 13.3486i 0.884034 1.10854i
\(146\) −4.71119 −0.389901
\(147\) 7.96244 + 12.3696i 0.656731 + 1.02023i
\(148\) −8.32165 −0.684035
\(149\) 1.35158 1.69483i 0.110726 0.138846i −0.723380 0.690450i \(-0.757413\pi\)
0.834106 + 0.551604i \(0.185984\pi\)
\(150\) −2.06269 0.993340i −0.168418 0.0811059i
\(151\) −4.79823 21.0224i −0.390474 1.71078i −0.662990 0.748628i \(-0.730713\pi\)
0.272516 0.962151i \(-0.412144\pi\)
\(152\) −1.10278 0.531073i −0.0894476 0.0430757i
\(153\) −3.74155 + 1.80183i −0.302486 + 0.145670i
\(154\) 3.33550 + 0.169017i 0.268782 + 0.0136198i
\(155\) 5.17690 + 2.49306i 0.415818 + 0.200248i
\(156\) −2.29405 2.87665i −0.183671 0.230316i
\(157\) −21.0914 + 10.1571i −1.68327 + 0.810622i −0.686789 + 0.726857i \(0.740980\pi\)
−0.996486 + 0.0837648i \(0.973306\pi\)
\(158\) −1.39434 + 1.74845i −0.110928 + 0.139099i
\(159\) 2.29320 10.0472i 0.181863 0.796792i
\(160\) 8.39852 10.5314i 0.663961 0.832581i
\(161\) 11.0088 + 0.557841i 0.867616 + 0.0439640i
\(162\) −3.49939 4.38810i −0.274938 0.344762i
\(163\) −17.7972 + 8.57067i −1.39398 + 0.671307i −0.971931 0.235265i \(-0.924404\pi\)
−0.422052 + 0.906572i \(0.638690\pi\)
\(164\) −2.89662 + 12.6909i −0.226188 + 0.990993i
\(165\) −14.2415 −1.10870
\(166\) 0.782476 0.0607319
\(167\) 1.43099 6.26956i 0.110733 0.485153i −0.888901 0.458100i \(-0.848530\pi\)
0.999634 0.0270538i \(-0.00861254\pi\)
\(168\) −9.59653 + 4.03666i −0.740389 + 0.311435i
\(169\) −0.222521 0.974928i −0.0171170 0.0749945i
\(170\) −0.872792 3.82395i −0.0669401 0.293284i
\(171\) −0.577323 0.723941i −0.0441490 0.0553611i
\(172\) −3.91174 4.90517i −0.298268 0.374016i
\(173\) 3.18890 + 13.9715i 0.242447 + 1.06223i 0.938781 + 0.344514i \(0.111956\pi\)
−0.696334 + 0.717718i \(0.745187\pi\)
\(174\) −1.48725 6.51605i −0.112748 0.493981i
\(175\) 5.32204 2.23865i 0.402309 0.169226i
\(176\) 1.44431 6.32795i 0.108869 0.476987i
\(177\) 17.9298 1.34768
\(178\) −1.17557 −0.0881129
\(179\) 5.22050 22.8725i 0.390199 1.70957i −0.273755 0.961799i \(-0.588266\pi\)
0.663954 0.747773i \(-0.268877\pi\)
\(180\) 5.98808 2.88371i 0.446325 0.214939i
\(181\) 6.67713 + 8.37286i 0.496307 + 0.622349i 0.965392 0.260804i \(-0.0839875\pi\)
−0.469085 + 0.883153i \(0.655416\pi\)
\(182\) −1.31908 0.0668410i −0.0977770 0.00495458i
\(183\) −0.611699 + 0.767046i −0.0452181 + 0.0567017i
\(184\) −1.73589 + 7.60543i −0.127972 + 0.560680i
\(185\) 7.94208 9.95906i 0.583914 0.732205i
\(186\) 2.02655 0.975936i 0.148594 0.0715591i
\(187\) −4.62218 5.79603i −0.338007 0.423848i
\(188\) −2.93303 1.41247i −0.213913 0.103015i
\(189\) 8.79331 + 0.445577i 0.639619 + 0.0324110i
\(190\) 0.787949 0.379456i 0.0571638 0.0275286i
\(191\) −10.9753 5.28540i −0.794142 0.382438i −0.00759640 0.999971i \(-0.502418\pi\)
−0.786545 + 0.617533i \(0.788132\pi\)
\(192\) 1.22736 + 5.37741i 0.0885769 + 0.388081i
\(193\) 17.2348 + 8.29984i 1.24059 + 0.597435i 0.934973 0.354720i \(-0.115424\pi\)
0.305615 + 0.952155i \(0.401138\pi\)
\(194\) 2.50389 3.13978i 0.179769 0.225423i
\(195\) 5.63208 0.403322
\(196\) 3.92094 11.6114i 0.280067 0.829386i
\(197\) 19.3548 1.37897 0.689485 0.724300i \(-0.257837\pi\)
0.689485 + 0.724300i \(0.257837\pi\)
\(198\) −1.11483 + 1.39796i −0.0792278 + 0.0993485i
\(199\) 8.39940 + 4.04494i 0.595418 + 0.286738i 0.707221 0.706992i \(-0.249948\pi\)
−0.111803 + 0.993730i \(0.535663\pi\)
\(200\) 0.909243 + 3.98366i 0.0642932 + 0.281687i
\(201\) −18.4960 8.90718i −1.30460 0.628264i
\(202\) −2.29061 + 1.10310i −0.161166 + 0.0776137i
\(203\) 14.7967 + 8.07251i 1.03853 + 0.566579i
\(204\) 9.71879 + 4.68032i 0.680451 + 0.327688i
\(205\) −12.4235 15.5786i −0.867697 1.08806i
\(206\) −5.08843 + 2.45046i −0.354527 + 0.170731i
\(207\) −3.67951 + 4.61396i −0.255743 + 0.320692i
\(208\) −0.571180 + 2.50250i −0.0396042 + 0.173517i
\(209\) 1.03061 1.29235i 0.0712889 0.0893934i
\(210\) 2.02017 7.15915i 0.139405 0.494029i
\(211\) 13.0486 + 16.3624i 0.898301 + 1.12643i 0.991412 + 0.130778i \(0.0417477\pi\)
−0.0931103 + 0.995656i \(0.529681\pi\)
\(212\) −7.73530 + 3.72512i −0.531263 + 0.255843i
\(213\) −3.48316 + 15.2607i −0.238662 + 1.04565i
\(214\) 4.62744 0.316325
\(215\) 9.60366 0.654964
\(216\) −1.38655 + 6.07486i −0.0943426 + 0.413342i
\(217\) −1.54052 + 5.45936i −0.104577 + 0.370605i
\(218\) −0.0771530 0.338029i −0.00522546 0.0228942i
\(219\) 4.41326 + 19.3358i 0.298220 + 1.30659i
\(220\) 7.39746 + 9.27612i 0.498737 + 0.625396i
\(221\) 1.82793 + 2.29215i 0.122960 + 0.154186i
\(222\) −1.10959 4.86145i −0.0744711 0.326279i
\(223\) 0.866835 + 3.79785i 0.0580476 + 0.254323i 0.995623 0.0934585i \(-0.0297922\pi\)
−0.937576 + 0.347781i \(0.886935\pi\)
\(224\) 11.6739 + 6.36880i 0.779994 + 0.425534i
\(225\) −0.687843 + 3.01364i −0.0458562 + 0.200909i
\(226\) 4.35100 0.289424
\(227\) 2.12282 0.140896 0.0704482 0.997515i \(-0.477557\pi\)
0.0704482 + 0.997515i \(0.477557\pi\)
\(228\) −0.535207 + 2.34489i −0.0354449 + 0.155294i
\(229\) 4.98907 2.40261i 0.329687 0.158769i −0.261716 0.965145i \(-0.584288\pi\)
0.591403 + 0.806376i \(0.298574\pi\)
\(230\) −3.47527 4.35785i −0.229152 0.287348i
\(231\) −2.43088 13.8479i −0.159940 0.911128i
\(232\) −7.43748 + 9.32631i −0.488295 + 0.612302i
\(233\) −0.175875 + 0.770558i −0.0115219 + 0.0504809i −0.980362 0.197206i \(-0.936813\pi\)
0.968840 + 0.247687i \(0.0796704\pi\)
\(234\) 0.440882 0.552848i 0.0288213 0.0361408i
\(235\) 4.48965 2.16210i 0.292872 0.141040i
\(236\) −9.31322 11.6784i −0.606239 0.760200i
\(237\) 8.48217 + 4.08480i 0.550976 + 0.265336i
\(238\) 3.56929 1.50138i 0.231363 0.0973200i
\(239\) −17.3122 + 8.33711i −1.11983 + 0.539283i −0.899841 0.436219i \(-0.856317\pi\)
−0.219992 + 0.975502i \(0.570603\pi\)
\(240\) −13.0251 6.27256i −0.840767 0.404892i
\(241\) 2.66686 + 11.6843i 0.171788 + 0.752651i 0.985262 + 0.171050i \(0.0547161\pi\)
−0.813475 + 0.581600i \(0.802427\pi\)
\(242\) 2.07162 + 0.997637i 0.133168 + 0.0641306i
\(243\) −8.50704 + 10.6675i −0.545727 + 0.684320i
\(244\) 0.817344 0.0523251
\(245\) 10.1540 + 15.7742i 0.648717 + 1.00778i
\(246\) −7.80017 −0.497321
\(247\) −0.407574 + 0.511082i −0.0259333 + 0.0325194i
\(248\) −3.61695 1.74183i −0.229676 0.110606i
\(249\) −0.732993 3.21145i −0.0464515 0.203518i
\(250\) 3.39642 + 1.63563i 0.214809 + 0.103446i
\(251\) 6.32320 3.04509i 0.399117 0.192204i −0.223549 0.974693i \(-0.571764\pi\)
0.622665 + 0.782488i \(0.286050\pi\)
\(252\) 3.82611 + 5.33036i 0.241022 + 0.335781i
\(253\) −9.49174 4.57098i −0.596741 0.287375i
\(254\) −3.70402 4.64469i −0.232411 0.291434i
\(255\) −14.8767 + 7.16426i −0.931618 + 0.448644i
\(256\) −0.263824 + 0.330825i −0.0164890 + 0.0206766i
\(257\) −6.01881 + 26.3701i −0.375443 + 1.64492i 0.335767 + 0.941945i \(0.391005\pi\)
−0.711210 + 0.702979i \(0.751853\pi\)
\(258\) 2.34398 2.93926i 0.145930 0.182990i
\(259\) 11.0394 + 6.02268i 0.685958 + 0.374231i
\(260\) −2.92546 3.66841i −0.181430 0.227505i
\(261\) −8.13047 + 3.91543i −0.503263 + 0.242359i
\(262\) −2.34253 + 10.2633i −0.144722 + 0.634068i
\(263\) −22.3105 −1.37573 −0.687863 0.725841i \(-0.741451\pi\)
−0.687863 + 0.725841i \(0.741451\pi\)
\(264\) 9.95016 0.612390
\(265\) 2.92438 12.8125i 0.179643 0.787069i
\(266\) 0.503464 + 0.701403i 0.0308693 + 0.0430058i
\(267\) 1.10123 + 4.82481i 0.0673943 + 0.295274i
\(268\) 3.80570 + 16.6738i 0.232470 + 1.01852i
\(269\) −2.52040 3.16049i −0.153672 0.192698i 0.699036 0.715086i \(-0.253613\pi\)
−0.852708 + 0.522388i \(0.825041\pi\)
\(270\) −2.77588 3.48084i −0.168935 0.211837i
\(271\) 3.24673 + 14.2249i 0.197225 + 0.864099i 0.972579 + 0.232573i \(0.0747143\pi\)
−0.775354 + 0.631527i \(0.782429\pi\)
\(272\) −1.67457 7.33676i −0.101536 0.444856i
\(273\) 0.961337 + 5.47643i 0.0581828 + 0.331448i
\(274\) −0.642561 + 2.81524i −0.0388185 + 0.170075i
\(275\) −5.51816 −0.332757
\(276\) 15.3293 0.922713
\(277\) 4.76203 20.8638i 0.286123 1.25359i −0.603675 0.797231i \(-0.706297\pi\)
0.889798 0.456356i \(-0.150845\pi\)
\(278\) −6.45951 + 3.11074i −0.387416 + 0.186570i
\(279\) −1.89352 2.37440i −0.113362 0.142152i
\(280\) −12.2379 + 5.14772i −0.731354 + 0.307635i
\(281\) 3.70397 4.64463i 0.220960 0.277075i −0.658979 0.752161i \(-0.729012\pi\)
0.879940 + 0.475086i \(0.157583\pi\)
\(282\) 0.434072 1.90179i 0.0258486 0.113250i
\(283\) 2.80256 3.51430i 0.166595 0.208903i −0.691525 0.722352i \(-0.743061\pi\)
0.858120 + 0.513449i \(0.171632\pi\)
\(284\) 11.7492 5.65812i 0.697187 0.335748i
\(285\) −2.29549 2.87846i −0.135973 0.170505i
\(286\) 1.13731 + 0.547699i 0.0672504 + 0.0323861i
\(287\) 13.0275 14.7393i 0.768989 0.870032i
\(288\) −6.41453 + 3.08908i −0.377980 + 0.182025i
\(289\) 7.57242 + 3.64668i 0.445436 + 0.214511i
\(290\) −1.89660 8.30953i −0.111372 0.487953i
\(291\) −15.2319 7.33530i −0.892910 0.430003i
\(292\) 10.3018 12.9181i 0.602869 0.755974i
\(293\) −12.2950 −0.718283 −0.359141 0.933283i \(-0.616930\pi\)
−0.359141 + 0.933283i \(0.616930\pi\)
\(294\) 7.30612 + 0.742341i 0.426101 + 0.0432942i
\(295\) 22.8647 1.33124
\(296\) −5.54891 + 6.95811i −0.322524 + 0.404432i
\(297\) −7.58155 3.65108i −0.439926 0.211857i
\(298\) −0.240804 1.05503i −0.0139494 0.0611164i
\(299\) 3.75369 + 1.80768i 0.217081 + 0.104541i
\(300\) 7.23417 3.48379i 0.417665 0.201137i
\(301\) 1.63924 + 9.33824i 0.0944844 + 0.538247i
\(302\) −9.69840 4.67050i −0.558080 0.268757i
\(303\) 6.67311 + 8.36781i 0.383360 + 0.480718i
\(304\) 1.51178 0.728037i 0.0867067 0.0417558i
\(305\) −0.780063 + 0.978169i −0.0446663 + 0.0560098i
\(306\) −0.461310 + 2.02113i −0.0263713 + 0.115540i
\(307\) 5.31873 6.66947i 0.303556 0.380647i −0.606534 0.795057i \(-0.707441\pi\)
0.910090 + 0.414410i \(0.136012\pi\)
\(308\) −7.75709 + 8.77635i −0.442001 + 0.500079i
\(309\) 14.8239 + 18.5885i 0.843300 + 1.05746i
\(310\) 2.58434 1.24455i 0.146781 0.0706858i
\(311\) 3.45826 15.1516i 0.196100 0.859170i −0.777131 0.629339i \(-0.783326\pi\)
0.973231 0.229831i \(-0.0738173\pi\)
\(312\) −3.93497 −0.222774
\(313\) 30.9224 1.74784 0.873918 0.486073i \(-0.161571\pi\)
0.873918 + 0.486073i \(0.161571\pi\)
\(314\) −2.60044 + 11.3933i −0.146751 + 0.642958i
\(315\) −10.0308 0.508283i −0.565171 0.0286385i
\(316\) −1.74528 7.64656i −0.0981795 0.430152i
\(317\) −1.93177 8.46363i −0.108499 0.475365i −0.999761 0.0218757i \(-0.993036\pi\)
0.891262 0.453489i \(-0.149821\pi\)
\(318\) −3.20760 4.02221i −0.179873 0.225554i
\(319\) −10.0441 12.5949i −0.562361 0.705179i
\(320\) 1.56518 + 6.85749i 0.0874960 + 0.383345i
\(321\) −4.33481 18.9920i −0.241945 1.06003i
\(322\) 3.64422 4.12306i 0.203084 0.229769i
\(323\) 0.426459 1.86844i 0.0237288 0.103963i
\(324\) 19.6842 1.09357
\(325\) 2.18226 0.121050
\(326\) −2.19428 + 9.61379i −0.121530 + 0.532458i
\(327\) −1.31507 + 0.633306i −0.0727237 + 0.0350219i
\(328\) 8.67997 + 10.8843i 0.479271 + 0.600987i
\(329\) 2.86868 + 3.99652i 0.158156 + 0.220335i
\(330\) −4.43268 + 5.55841i −0.244011 + 0.305980i
\(331\) 0.221397 0.970002i 0.0121691 0.0533161i −0.968479 0.249096i \(-0.919867\pi\)
0.980648 + 0.195780i \(0.0627237\pi\)
\(332\) −1.71102 + 2.14555i −0.0939043 + 0.117752i
\(333\) −6.06592 + 2.92119i −0.332410 + 0.160080i
\(334\) −2.00159 2.50991i −0.109522 0.137336i
\(335\) −23.5868 11.3588i −1.28868 0.620597i
\(336\) 3.87595 13.7358i 0.211451 0.749348i
\(337\) −18.1373 + 8.73445i −0.988000 + 0.475796i −0.856850 0.515567i \(-0.827581\pi\)
−0.131151 + 0.991362i \(0.541867\pi\)
\(338\) −0.449770 0.216598i −0.0244642 0.0117814i
\(339\) −4.07585 17.8575i −0.221370 0.969884i
\(340\) 12.3938 + 5.96854i 0.672148 + 0.323689i
\(341\) 3.38023 4.23868i 0.183050 0.229537i
\(342\) −0.462243 −0.0249952
\(343\) −13.6051 + 12.5659i −0.734606 + 0.678494i
\(344\) −6.70980 −0.361768
\(345\) −14.6301 + 18.3455i −0.787656 + 0.987690i
\(346\) 6.44555 + 3.10401i 0.346515 + 0.166873i
\(347\) −4.41970 19.3640i −0.237262 1.03951i −0.943457 0.331495i \(-0.892447\pi\)
0.706195 0.708017i \(-0.250410\pi\)
\(348\) 21.1191 + 10.1704i 1.13210 + 0.545193i
\(349\) −25.5262 + 12.2928i −1.36639 + 0.658017i −0.966051 0.258352i \(-0.916821\pi\)
−0.400336 + 0.916369i \(0.631106\pi\)
\(350\) 0.782752 2.77395i 0.0418398 0.148274i
\(351\) 2.99827 + 1.44389i 0.160036 + 0.0770691i
\(352\) −7.92429 9.93674i −0.422366 0.529630i
\(353\) −24.3914 + 11.7463i −1.29822 + 0.625191i −0.950009 0.312224i \(-0.898926\pi\)
−0.348214 + 0.937415i \(0.613212\pi\)
\(354\) 5.58064 6.99790i 0.296608 0.371934i
\(355\) −4.44186 + 19.4611i −0.235750 + 1.03289i
\(356\) 2.57059 3.22342i 0.136241 0.170841i
\(357\) −9.50557 13.2427i −0.503088 0.700879i
\(358\) −7.30216 9.15662i −0.385931 0.483942i
\(359\) 12.1968 5.87367i 0.643723 0.310001i −0.0833917 0.996517i \(-0.526575\pi\)
0.727114 + 0.686516i \(0.240861\pi\)
\(360\) 1.58167 6.92977i 0.0833616 0.365231i
\(361\) −18.5727 −0.977509
\(362\) 5.34614 0.280987
\(363\) 2.15391 9.43691i 0.113051 0.495309i
\(364\) 3.06768 3.47077i 0.160790 0.181918i
\(365\) 5.62797 + 24.6577i 0.294581 + 1.29064i
\(366\) 0.108983 + 0.477487i 0.00569664 + 0.0249586i
\(367\) 14.2220 + 17.8338i 0.742383 + 0.930918i 0.999370 0.0354966i \(-0.0113013\pi\)
−0.256987 + 0.966415i \(0.582730\pi\)
\(368\) −6.66776 8.36110i −0.347581 0.435853i
\(369\) 2.34352 + 10.2676i 0.121999 + 0.534511i
\(370\) −1.41500 6.19952i −0.0735623 0.322298i
\(371\) 12.9576 + 0.656591i 0.672725 + 0.0340885i
\(372\) −1.75539 + 7.69086i −0.0910127 + 0.398752i
\(373\) −14.2939 −0.740112 −0.370056 0.929009i \(-0.620662\pi\)
−0.370056 + 0.929009i \(0.620662\pi\)
\(374\) −3.70082 −0.191365
\(375\) 3.53135 15.4719i 0.182358 0.798964i
\(376\) −3.13679 + 1.51060i −0.161767 + 0.0779031i
\(377\) 3.97212 + 4.98088i 0.204575 + 0.256529i
\(378\) 2.91083 3.29330i 0.149717 0.169389i
\(379\) −19.5941 + 24.5702i −1.00648 + 1.26209i −0.0416734 + 0.999131i \(0.513269\pi\)
−0.964808 + 0.262956i \(0.915303\pi\)
\(380\) −0.682517 + 2.99030i −0.0350124 + 0.153399i
\(381\) −15.5930 + 19.5531i −0.798856 + 1.00173i
\(382\) −5.47892 + 2.63851i −0.280326 + 0.134998i
\(383\) −23.0159 28.8610i −1.17606 1.47473i −0.847939 0.530094i \(-0.822157\pi\)
−0.328119 0.944636i \(-0.606415\pi\)
\(384\) 21.5144 + 10.3608i 1.09790 + 0.528722i
\(385\) −3.09996 17.6595i −0.157988 0.900009i
\(386\) 8.60372 4.14333i 0.437918 0.210890i
\(387\) −4.57329 2.20238i −0.232473 0.111953i
\(388\) 3.13409 + 13.7313i 0.159109 + 0.697103i
\(389\) −14.0401 6.76135i −0.711861 0.342814i 0.0426605 0.999090i \(-0.486417\pi\)
−0.754521 + 0.656276i \(0.772131\pi\)
\(390\) 1.75299 2.19818i 0.0887659 0.111309i
\(391\) −12.2145 −0.617716
\(392\) −7.09433 11.0210i −0.358318 0.556645i
\(393\) 44.3172 2.23550
\(394\) 6.02417 7.55408i 0.303493 0.380569i
\(395\) 10.8168 + 5.20910i 0.544253 + 0.262098i
\(396\) −1.39542 6.11375i −0.0701227 0.307228i
\(397\) 19.6009 + 9.43930i 0.983741 + 0.473745i 0.855390 0.517984i \(-0.173317\pi\)
0.128351 + 0.991729i \(0.459032\pi\)
\(398\) 4.19304 2.01926i 0.210178 0.101216i
\(399\) 2.40709 2.72337i 0.120505 0.136339i
\(400\) −5.04682 2.43042i −0.252341 0.121521i
\(401\) 19.2377 + 24.1233i 0.960682 + 1.20466i 0.978799 + 0.204822i \(0.0656615\pi\)
−0.0181168 + 0.999836i \(0.505767\pi\)
\(402\) −9.23330 + 4.44652i −0.460515 + 0.221772i
\(403\) −1.33678 + 1.67626i −0.0665895 + 0.0835006i
\(404\) 1.98411 8.69296i 0.0987132 0.432491i
\(405\) −18.7864 + 23.5574i −0.933503 + 1.17058i
\(406\) 7.75615 3.26253i 0.384931 0.161917i
\(407\) −7.49363 9.39671i −0.371445 0.465778i
\(408\) 10.3940 5.00547i 0.514577 0.247807i
\(409\) −2.88537 + 12.6417i −0.142673 + 0.625089i 0.852136 + 0.523321i \(0.175307\pi\)
−0.994808 + 0.101768i \(0.967550\pi\)
\(410\) −9.94709 −0.491252
\(411\) 12.1563 0.599626
\(412\) 4.40757 19.3108i 0.217145 0.951376i
\(413\) 3.90277 + 22.2328i 0.192043 + 1.09401i
\(414\) 0.655559 + 2.87219i 0.0322190 + 0.141160i
\(415\) −0.934742 4.09537i −0.0458847 0.201034i
\(416\) 3.13381 + 3.92967i 0.153647 + 0.192668i
\(417\) 18.8182 + 23.5972i 0.921530 + 1.15556i
\(418\) −0.183619 0.804486i −0.00898108 0.0393487i
\(419\) −6.93410 30.3803i −0.338753 1.48417i −0.801667 0.597771i \(-0.796053\pi\)
0.462914 0.886403i \(-0.346804\pi\)
\(420\) 15.2130 + 21.1940i 0.742317 + 1.03416i
\(421\) 2.76156 12.0992i 0.134590 0.589678i −0.861981 0.506940i \(-0.830777\pi\)
0.996571 0.0827375i \(-0.0263663\pi\)
\(422\) 10.4475 0.508578
\(423\) −2.63381 −0.128060
\(424\) −2.04318 + 8.95176i −0.0992256 + 0.434736i
\(425\) −5.76428 + 2.77593i −0.279609 + 0.134652i
\(426\) 4.87205 + 6.10936i 0.236052 + 0.296000i
\(427\) −1.08428 0.591541i −0.0524721 0.0286267i
\(428\) −10.1187 + 12.6884i −0.489106 + 0.613319i
\(429\) 1.18249 5.18083i 0.0570911 0.250133i
\(430\) 2.98914 3.74826i 0.144149 0.180757i
\(431\) −8.03879 + 3.87128i −0.387215 + 0.186473i −0.617355 0.786685i \(-0.711796\pi\)
0.230140 + 0.973158i \(0.426082\pi\)
\(432\) −5.32589 6.67845i −0.256242 0.321317i
\(433\) −19.2496 9.27013i −0.925078 0.445494i −0.0901967 0.995924i \(-0.528750\pi\)
−0.834881 + 0.550430i \(0.814464\pi\)
\(434\) 1.65128 + 2.30048i 0.0792638 + 0.110427i
\(435\) −32.3275 + 15.5681i −1.54998 + 0.746433i
\(436\) 1.09559 + 0.527606i 0.0524690 + 0.0252678i
\(437\) −0.606033 2.65521i −0.0289905 0.127016i
\(438\) 8.92028 + 4.29578i 0.426228 + 0.205260i
\(439\) 13.8225 17.3329i 0.659713 0.827253i −0.333599 0.942715i \(-0.608263\pi\)
0.993312 + 0.115461i \(0.0368347\pi\)
\(440\) 12.6888 0.604917
\(441\) −1.21791 9.84032i −0.0579959 0.468587i
\(442\) 1.46356 0.0696143
\(443\) −23.7951 + 29.8381i −1.13054 + 1.41765i −0.235379 + 0.971904i \(0.575633\pi\)
−0.895159 + 0.445747i \(0.852938\pi\)
\(444\) 15.7564 + 7.58789i 0.747767 + 0.360105i
\(445\) 1.40433 + 6.15279i 0.0665719 + 0.291670i
\(446\) 1.75209 + 0.843760i 0.0829637 + 0.0399532i
\(447\) −4.10451 + 1.97663i −0.194137 + 0.0934912i
\(448\) −6.40080 + 2.69242i −0.302410 + 0.127205i
\(449\) 18.3772 + 8.84999i 0.867274 + 0.417657i 0.813960 0.580921i \(-0.197307\pi\)
0.0533136 + 0.998578i \(0.483022\pi\)
\(450\) 0.962117 + 1.20646i 0.0453546 + 0.0568729i
\(451\) −16.9388 + 8.15731i −0.797618 + 0.384113i
\(452\) −9.51421 + 11.9304i −0.447511 + 0.561161i
\(453\) −10.0837 + 44.1795i −0.473773 + 2.07573i
\(454\) 0.660728 0.828527i 0.0310095 0.0388847i
\(455\) 1.22594 + 6.98376i 0.0574728 + 0.327404i
\(456\) 1.60379 + 2.01109i 0.0751046 + 0.0941781i
\(457\) 23.0608 11.1055i 1.07874 0.519493i 0.191825 0.981429i \(-0.438559\pi\)
0.886913 + 0.461936i \(0.152845\pi\)
\(458\) 0.615122 2.69503i 0.0287428 0.125930i
\(459\) −9.75640 −0.455390
\(460\) 19.5485 0.911453
\(461\) −5.93933 + 26.0219i −0.276622 + 1.21196i 0.625411 + 0.780295i \(0.284931\pi\)
−0.902033 + 0.431666i \(0.857926\pi\)
\(462\) −6.16140 3.36141i −0.286654 0.156387i
\(463\) −6.08560 26.6627i −0.282822 1.23912i −0.894158 0.447752i \(-0.852225\pi\)
0.611336 0.791371i \(-0.290632\pi\)
\(464\) −3.63887 15.9429i −0.168930 0.740132i
\(465\) −7.52883 9.44085i −0.349141 0.437809i
\(466\) 0.246004 + 0.308480i 0.0113959 + 0.0142900i
\(467\) −5.11484 22.4096i −0.236686 1.03699i −0.943962 0.330053i \(-0.892933\pi\)
0.707276 0.706938i \(-0.249924\pi\)
\(468\) 0.551846 + 2.41780i 0.0255091 + 0.111763i
\(469\) 7.01885 24.8737i 0.324101 1.14856i
\(470\) 0.553546 2.42524i 0.0255332 0.111868i
\(471\) 49.1964 2.26685
\(472\) −15.9749 −0.735306
\(473\) 2.01635 8.83419i 0.0927117 0.406197i
\(474\) 4.23435 2.03916i 0.194490 0.0936616i
\(475\) −0.889432 1.11531i −0.0408099 0.0511741i
\(476\) −3.68809 + 13.0700i −0.169043 + 0.599064i
\(477\) −4.33086 + 5.43073i −0.198297 + 0.248656i
\(478\) −2.13449 + 9.35179i −0.0976291 + 0.427741i
\(479\) 16.3151 20.4585i 0.745458 0.934774i −0.254016 0.967200i \(-0.581752\pi\)
0.999474 + 0.0324255i \(0.0103232\pi\)
\(480\) −25.5048 + 12.2825i −1.16413 + 0.560615i
\(481\) 2.96349 + 3.71610i 0.135124 + 0.169440i
\(482\) 5.39038 + 2.59587i 0.245525 + 0.118239i
\(483\) −20.3357 11.0943i −0.925306 0.504810i
\(484\) −7.26547 + 3.49886i −0.330248 + 0.159039i
\(485\) −19.4243 9.35426i −0.882013 0.424755i
\(486\) 1.51566 + 6.64052i 0.0687515 + 0.301220i
\(487\) 33.3077 + 16.0401i 1.50931 + 0.726848i 0.991677 0.128752i \(-0.0410972\pi\)
0.517638 + 0.855600i \(0.326812\pi\)
\(488\) 0.545008 0.683418i 0.0246713 0.0309369i
\(489\) 41.5126 1.87727
\(490\) 9.31705 + 0.946663i 0.420902 + 0.0427659i
\(491\) 14.0297 0.633150 0.316575 0.948567i \(-0.397467\pi\)
0.316575 + 0.948567i \(0.397467\pi\)
\(492\) 17.0564 21.3881i 0.768963 0.964249i
\(493\) −16.8280 8.10394i −0.757895 0.364983i
\(494\) 0.0726154 + 0.318149i 0.00326712 + 0.0143142i
\(495\) 8.64850 + 4.16490i 0.388721 + 0.187198i
\(496\) 4.95840 2.38784i 0.222639 0.107217i
\(497\) −19.6814 0.997301i −0.882832 0.0447351i
\(498\) −1.48156 0.713481i −0.0663903 0.0319719i
\(499\) 21.1096 + 26.4706i 0.944997 + 1.18499i 0.982607 + 0.185696i \(0.0594539\pi\)
−0.0376107 + 0.999292i \(0.511975\pi\)
\(500\) −11.9118 + 5.73641i −0.532711 + 0.256540i
\(501\) −8.42621 + 10.5661i −0.376456 + 0.472060i
\(502\) 0.779611 3.41570i 0.0347958 0.152450i
\(503\) −9.90789 + 12.4241i −0.441771 + 0.553963i −0.952009 0.306070i \(-0.900986\pi\)
0.510238 + 0.860033i \(0.329557\pi\)
\(504\) 7.00822 + 0.355122i 0.312171 + 0.0158184i
\(505\) 8.50982 + 10.6710i 0.378682 + 0.474852i
\(506\) −4.73834 + 2.28186i −0.210645 + 0.101441i
\(507\) −0.467637 + 2.04885i −0.0207685 + 0.0909928i
\(508\) 20.8352 0.924413
\(509\) 27.1937 1.20534 0.602670 0.797991i \(-0.294104\pi\)
0.602670 + 0.797991i \(0.294104\pi\)
\(510\) −1.83421 + 8.03620i −0.0812202 + 0.355849i
\(511\) −23.0156 + 9.68124i −1.01815 + 0.428273i
\(512\) −5.00987 21.9497i −0.221407 0.970047i
\(513\) −0.484071 2.12085i −0.0213722 0.0936379i
\(514\) 8.41879 + 10.5568i 0.371337 + 0.465642i
\(515\) 18.9040 + 23.7048i 0.833009 + 1.04456i
\(516\) 2.93393 + 12.8544i 0.129159 + 0.565884i
\(517\) −1.04624 4.58387i −0.0460135 0.201599i
\(518\) 5.78665 2.43409i 0.254251 0.106948i
\(519\) 6.70161 29.3617i 0.294168 1.28883i
\(520\) −5.01804 −0.220055
\(521\) −32.2949 −1.41486 −0.707432 0.706782i \(-0.750146\pi\)
−0.707432 + 0.706782i \(0.750146\pi\)
\(522\) −1.00244 + 4.39196i −0.0438754 + 0.192231i
\(523\) 12.0134 5.78534i 0.525308 0.252975i −0.152383 0.988321i \(-0.548695\pi\)
0.677691 + 0.735346i \(0.262981\pi\)
\(524\) −23.0196 28.8657i −1.00562 1.26100i
\(525\) −12.1182 0.614054i −0.528880 0.0267995i
\(526\) −6.94415 + 8.70769i −0.302779 + 0.379673i
\(527\) 1.39872 6.12817i 0.0609290 0.266947i
\(528\) −8.50469 + 10.6645i −0.370119 + 0.464114i
\(529\) 5.08339 2.44803i 0.221017 0.106436i
\(530\) −4.09047 5.12928i −0.177678 0.222802i
\(531\) −10.8882 5.24350i −0.472510 0.227549i
\(532\) −3.02416 0.153241i −0.131114 0.00664384i
\(533\) 6.69877 3.22596i 0.290156 0.139732i
\(534\) 2.22586 + 1.07192i 0.0963224 + 0.0463864i
\(535\) −5.52792 24.2194i −0.238993 1.04710i
\(536\) 16.4794 + 7.93606i 0.711802 + 0.342786i
\(537\) −30.7404 + 38.5472i −1.32655 + 1.66344i
\(538\) −2.01800 −0.0870021
\(539\) 16.6423 6.02857i 0.716833 0.259669i
\(540\) 15.6144 0.671937
\(541\) 25.6577 32.1737i 1.10311 1.38326i 0.186987 0.982362i \(-0.440128\pi\)
0.916124 0.400895i \(-0.131301\pi\)
\(542\) 6.56245 + 3.16031i 0.281881 + 0.135747i
\(543\) −5.00806 21.9418i −0.214917 0.941611i
\(544\) −13.2764 6.39360i −0.569223 0.274123i
\(545\) −1.67703 + 0.807617i −0.0718363 + 0.0345945i
\(546\) 2.43664 + 1.32933i 0.104279 + 0.0568902i
\(547\) 3.17277 + 1.52793i 0.135658 + 0.0653295i 0.500481 0.865747i \(-0.333156\pi\)
−0.364823 + 0.931077i \(0.618871\pi\)
\(548\) −6.31433 7.91792i −0.269735 0.338237i
\(549\) 0.595789 0.286917i 0.0254276 0.0122453i
\(550\) −1.71753 + 2.15371i −0.0732356 + 0.0918346i
\(551\) 0.926705 4.06016i 0.0394790 0.172969i
\(552\) 10.2216 12.8175i 0.435061 0.545549i
\(553\) −3.21882 + 11.4070i −0.136878 + 0.485075i
\(554\) −6.66087 8.35247i −0.282993 0.354863i
\(555\) −24.1187 + 11.6149i −1.02378 + 0.493027i
\(556\) 5.59519 24.5141i 0.237289 1.03963i
\(557\) 43.6759 1.85061 0.925304 0.379227i \(-0.123810\pi\)
0.925304 + 0.379227i \(0.123810\pi\)
\(558\) −1.51608 −0.0641807
\(559\) −0.797402 + 3.49364i −0.0337265 + 0.147765i
\(560\) 4.94277 17.5164i 0.208870 0.740204i
\(561\) 3.46678 + 15.1890i 0.146368 + 0.641279i
\(562\) −0.659917 2.89128i −0.0278369 0.121961i
\(563\) 7.13826 + 8.95109i 0.300842 + 0.377244i 0.909158 0.416451i \(-0.136726\pi\)
−0.608316 + 0.793695i \(0.708155\pi\)
\(564\) 4.26555 + 5.34882i 0.179612 + 0.225226i
\(565\) −5.19769 22.7726i −0.218668 0.958049i
\(566\) −0.499317 2.18765i −0.0209879 0.0919539i
\(567\) −26.1129 14.2462i −1.09664 0.598283i
\(568\) 3.10340 13.5969i 0.130216 0.570513i
\(569\) −24.0916 −1.00997 −0.504987 0.863127i \(-0.668503\pi\)
−0.504987 + 0.863127i \(0.668503\pi\)
\(570\) −1.83792 −0.0769820
\(571\) 5.58472 24.4682i 0.233713 1.02396i −0.712817 0.701350i \(-0.752581\pi\)
0.946531 0.322614i \(-0.104562\pi\)
\(572\) −3.98871 + 1.92086i −0.166776 + 0.0803153i
\(573\) 15.9615 + 20.0150i 0.666800 + 0.836140i
\(574\) −1.69786 9.67218i −0.0708675 0.403709i
\(575\) −5.66870 + 7.10832i −0.236401 + 0.296438i
\(576\) 0.827266 3.62449i 0.0344694 0.151020i
\(577\) 16.3843 20.5452i 0.682087 0.855310i −0.313458 0.949602i \(-0.601487\pi\)
0.995545 + 0.0942924i \(0.0300589\pi\)
\(578\) 3.78020 1.82045i 0.157236 0.0757207i
\(579\) −25.0648 31.4302i −1.04166 1.30620i
\(580\) 26.9320 + 12.9698i 1.11829 + 0.538540i
\(581\) 3.82264 1.60795i 0.158590 0.0667088i
\(582\) −7.60386 + 3.66183i −0.315190 + 0.151788i
\(583\) −11.1720 5.38015i −0.462696 0.222823i
\(584\) −3.93210 17.2277i −0.162711 0.712885i
\(585\) −3.42021 1.64709i −0.141408 0.0680986i
\(586\) −3.82683 + 4.79869i −0.158085 + 0.198232i
\(587\) −37.9451 −1.56616 −0.783081 0.621920i \(-0.786353\pi\)
−0.783081 + 0.621920i \(0.786353\pi\)
\(588\) −18.0116 + 18.4101i −0.742785 + 0.759220i
\(589\) 1.40154 0.0577496
\(590\) 7.11666 8.92400i 0.292988 0.367395i
\(591\) −36.6468 17.6482i −1.50745 0.725949i
\(592\) −2.71486 11.8946i −0.111580 0.488865i
\(593\) 30.6224 + 14.7470i 1.25751 + 0.605585i 0.939515 0.342507i \(-0.111276\pi\)
0.317996 + 0.948092i \(0.396990\pi\)
\(594\) −3.78476 + 1.82264i −0.155291 + 0.0747840i
\(595\) −12.1219 16.8877i −0.496949 0.692327i
\(596\) 3.41946 + 1.64672i 0.140067 + 0.0674525i
\(597\) −12.2154 15.3176i −0.499942 0.626907i
\(598\) 1.87386 0.902406i 0.0766280 0.0369021i
\(599\) −13.3450 + 16.7341i −0.545260 + 0.683735i −0.975757 0.218857i \(-0.929767\pi\)
0.430496 + 0.902592i \(0.358338\pi\)
\(600\) 1.91081 8.37183i 0.0780087 0.341778i
\(601\) −5.70396 + 7.15254i −0.232669 + 0.291758i −0.884436 0.466661i \(-0.845457\pi\)
0.651767 + 0.758419i \(0.274028\pi\)
\(602\) 4.15489 + 2.26674i 0.169341 + 0.0923854i
\(603\) 8.62721 + 10.8182i 0.351327 + 0.440550i
\(604\) 34.0138 16.3802i 1.38400 0.666499i
\(605\) 2.74676 12.0343i 0.111672 0.489265i
\(606\) 5.34293 0.217041
\(607\) 25.7424 1.04485 0.522426 0.852685i \(-0.325027\pi\)
0.522426 + 0.852685i \(0.325027\pi\)
\(608\) 0.731124 3.20326i 0.0296510 0.129910i
\(609\) −20.6558 28.7767i −0.837015 1.16609i
\(610\) 0.138980 + 0.608910i 0.00562713 + 0.0246541i
\(611\) 0.413755 + 1.81278i 0.0167387 + 0.0733371i
\(612\) −4.53321 5.68446i −0.183244 0.229781i
\(613\) 15.5351 + 19.4804i 0.627458 + 0.786808i 0.989372 0.145404i \(-0.0464480\pi\)
−0.361914 + 0.932211i \(0.617877\pi\)
\(614\) −0.947610 4.15175i −0.0382424 0.167551i
\(615\) 9.31805 + 40.8250i 0.375740 + 1.64622i
\(616\) 2.16585 + 12.3382i 0.0872647 + 0.497118i
\(617\) 1.84220 8.07120i 0.0741641 0.324934i −0.924213 0.381877i \(-0.875278\pi\)
0.998377 + 0.0569423i \(0.0181351\pi\)
\(618\) 11.8689 0.477439
\(619\) −23.8927 −0.960329 −0.480165 0.877178i \(-0.659423\pi\)
−0.480165 + 0.877178i \(0.659423\pi\)
\(620\) −2.23854 + 9.80769i −0.0899020 + 0.393886i
\(621\) −12.4916 + 6.01564i −0.501271 + 0.241399i
\(622\) −4.83723 6.06569i −0.193955 0.243212i
\(623\) −5.74304 + 2.41574i −0.230090 + 0.0967846i
\(624\) 3.36334 4.21749i 0.134641 0.168835i
\(625\) 6.93131 30.3681i 0.277253 1.21472i
\(626\) 9.62460 12.0689i 0.384676 0.482369i
\(627\) −3.12978 + 1.50722i −0.124991 + 0.0601927i
\(628\) −25.5540 32.0437i −1.01972 1.27868i
\(629\) −12.5549 6.04613i −0.500597 0.241075i
\(630\) −3.32046 + 3.75677i −0.132290 + 0.149673i
\(631\) 17.1408 8.25456i 0.682363 0.328609i −0.0603892 0.998175i \(-0.519234\pi\)
0.742753 + 0.669566i \(0.233520\pi\)
\(632\) −7.55739 3.63945i −0.300617 0.144769i
\(633\) −9.78686 42.8790i −0.388993 1.70429i
\(634\) −3.90458 1.88035i −0.155071 0.0746781i
\(635\) −19.8849 + 24.9349i −0.789107 + 0.989509i
\(636\) 18.0429 0.715447
\(637\) −6.58149 + 2.38411i −0.260768 + 0.0944618i
\(638\) −8.04196 −0.318384
\(639\) 6.57818 8.24877i 0.260229 0.326316i
\(640\) 27.4360 + 13.2125i 1.08450 + 0.522270i
\(641\) −4.08840 17.9125i −0.161482 0.707500i −0.989226 0.146394i \(-0.953233\pi\)
0.827744 0.561106i \(-0.189624\pi\)
\(642\) −8.76172 4.21942i −0.345797 0.166527i
\(643\) −43.7315 + 21.0600i −1.72460 + 0.830525i −0.736556 + 0.676376i \(0.763549\pi\)
−0.988048 + 0.154149i \(0.950736\pi\)
\(644\) 3.33672 + 19.0082i 0.131485 + 0.749029i
\(645\) −18.1838 8.75686i −0.715987 0.344801i
\(646\) −0.596508 0.747998i −0.0234693 0.0294296i
\(647\) 39.4942 19.0194i 1.55268 0.747731i 0.556158 0.831076i \(-0.312275\pi\)
0.996521 + 0.0833455i \(0.0265605\pi\)
\(648\) 13.1255 16.4589i 0.515618 0.646565i
\(649\) 4.80059 21.0328i 0.188440 0.825608i
\(650\) 0.679228 0.851725i 0.0266415 0.0334074i
\(651\) 7.89484 8.93221i 0.309423 0.350081i
\(652\) −21.5628 27.0389i −0.844466 1.05893i
\(653\) −37.5523 + 18.0842i −1.46953 + 0.707690i −0.985862 0.167559i \(-0.946412\pi\)
−0.483672 + 0.875249i \(0.660697\pi\)
\(654\) −0.162140 + 0.710384i −0.00634019 + 0.0277782i
\(655\) 56.5150 2.20822
\(656\) −19.0848 −0.745136
\(657\) 2.97463 13.0327i 0.116051 0.508455i
\(658\) 2.45270 + 0.124284i 0.0956162 + 0.00484509i
\(659\) −1.89182 8.28858i −0.0736947 0.322877i 0.924621 0.380888i \(-0.124382\pi\)
−0.998316 + 0.0580102i \(0.981524\pi\)
\(660\) −5.54833 24.3088i −0.215969 0.946220i
\(661\) −16.9210 21.2183i −0.658151 0.825295i 0.334990 0.942222i \(-0.391267\pi\)
−0.993141 + 0.116927i \(0.962696\pi\)
\(662\) −0.309678 0.388323i −0.0120360 0.0150926i
\(663\) −1.37100 6.00676i −0.0532454 0.233283i
\(664\) 0.653078 + 2.86132i 0.0253443 + 0.111041i
\(665\) 3.06961 3.47295i 0.119035 0.134675i
\(666\) −0.747891 + 3.27672i −0.0289802 + 0.126970i
\(667\) −26.5425 −1.02773
\(668\) 11.2590 0.435623
\(669\) 1.82169 7.98135i 0.0704307 0.308577i
\(670\) −11.7747 + 5.67039i −0.454895 + 0.219066i
\(671\) 0.736016 + 0.922935i 0.0284136 + 0.0356295i
\(672\) −16.2964 22.7034i −0.628647 0.875803i
\(673\) 9.66701 12.1220i 0.372636 0.467271i −0.559789 0.828635i \(-0.689118\pi\)
0.932425 + 0.361365i \(0.117689\pi\)
\(674\) −2.23621 + 9.79750i −0.0861358 + 0.377385i
\(675\) −4.52789 + 5.67779i −0.174278 + 0.218538i
\(676\) 1.57741 0.759641i 0.0606696 0.0292169i
\(677\) −3.63218 4.55461i −0.139596 0.175048i 0.707119 0.707095i \(-0.249994\pi\)
−0.846715 + 0.532047i \(0.821423\pi\)
\(678\) −8.23829 3.96735i −0.316390 0.152365i
\(679\) 5.78021 20.4842i 0.221824 0.786110i
\(680\) 13.2548 6.38317i 0.508298 0.244783i
\(681\) −4.01940 1.93564i −0.154024 0.0741739i
\(682\) −0.602238 2.63858i −0.0230609 0.101036i
\(683\) −3.67508 1.76983i −0.140623 0.0677205i 0.362249 0.932081i \(-0.382009\pi\)
−0.502872 + 0.864361i \(0.667723\pi\)
\(684\) 1.01077 1.26747i 0.0386479 0.0484629i
\(685\) 15.5022 0.592309
\(686\) 0.669823 + 9.22114i 0.0255740 + 0.352065i
\(687\) −11.6372 −0.443987
\(688\) 5.73506 7.19154i 0.218647 0.274175i
\(689\) 4.41817 + 2.12768i 0.168319 + 0.0810581i
\(690\) 2.60656 + 11.4201i 0.0992301 + 0.434756i
\(691\) −40.1223 19.3219i −1.52632 0.735039i −0.532544 0.846402i \(-0.678764\pi\)
−0.993780 + 0.111363i \(0.964478\pi\)
\(692\) −22.6055 + 10.8862i −0.859333 + 0.413833i
\(693\) −2.57358 + 9.12038i −0.0977623 + 0.346455i
\(694\) −8.93330 4.30205i −0.339103 0.163304i
\(695\) 23.9977 + 30.0921i 0.910284 + 1.14146i
\(696\) 22.5863 10.8770i 0.856131 0.412291i
\(697\) −13.5908 + 17.0423i −0.514787 + 0.645522i
\(698\) −3.14722 + 13.7889i −0.119124 + 0.521917i
\(699\) 1.03562 1.29863i 0.0391708 0.0491186i
\(700\) 5.89455 + 8.21203i 0.222793 + 0.310386i
\(701\) −25.0826 31.4526i −0.947358 1.18795i −0.982063 0.188552i \(-0.939621\pi\)
0.0347055 0.999398i \(-0.488951\pi\)
\(702\) 1.49675 0.720799i 0.0564913 0.0272048i
\(703\) 0.691390 3.02918i 0.0260763 0.114248i
\(704\) 6.63667 0.250129
\(705\) −10.4723 −0.394409
\(706\) −3.00731 + 13.1759i −0.113182 + 0.495881i
\(707\) −8.92352 + 10.0960i −0.335603 + 0.379701i
\(708\) 6.98522 + 30.6042i 0.262521 + 1.15018i
\(709\) −2.80463 12.2879i −0.105330 0.461480i −0.999894 0.0145413i \(-0.995371\pi\)
0.894564 0.446939i \(-0.147486\pi\)
\(710\) 6.21304 + 7.79090i 0.233171 + 0.292387i
\(711\) −3.95640 4.96117i −0.148377 0.186058i
\(712\) −0.981168 4.29878i −0.0367708 0.161104i
\(713\) −1.98769 8.70863i −0.0744395 0.326141i
\(714\) −8.12719 0.411823i −0.304152 0.0154121i
\(715\) 1.50796 6.60680i 0.0563945 0.247080i
\(716\) 41.0749 1.53504
\(717\) 40.3813 1.50807
\(718\) 1.50379 6.58854i 0.0561210 0.245882i
\(719\) −4.48845 + 2.16153i −0.167391 + 0.0806113i −0.515703 0.856767i \(-0.672469\pi\)
0.348312 + 0.937379i \(0.386755\pi\)
\(720\) 6.07539 + 7.61830i 0.226417 + 0.283917i
\(721\) −19.8230 + 22.4277i −0.738247 + 0.835251i
\(722\) −5.78075 + 7.24883i −0.215137 + 0.269774i
\(723\) 5.60453 24.5550i 0.208435 0.913211i
\(724\) −11.6903 + 14.6591i −0.434465 + 0.544802i
\(725\) −12.5259 + 6.03216i −0.465200 + 0.224029i
\(726\) −3.01278 3.77790i −0.111815 0.140211i
\(727\) 28.3547 + 13.6549i 1.05162 + 0.506433i 0.878140 0.478405i \(-0.158785\pi\)
0.173479 + 0.984838i \(0.444499\pi\)
\(728\) −0.856526 4.87935i −0.0317450 0.180841i
\(729\) −4.55450 + 2.19333i −0.168685 + 0.0812345i
\(730\) 11.3755 + 5.47816i 0.421026 + 0.202756i
\(731\) −2.33779 10.2425i −0.0864665 0.378834i
\(732\) −1.54758 0.745275i −0.0572002 0.0275462i
\(733\) 5.64652 7.08051i 0.208559 0.261525i −0.666539 0.745470i \(-0.732225\pi\)
0.875098 + 0.483945i \(0.160797\pi\)
\(734\) 11.3871 0.420304
\(735\) −4.84254 39.1260i −0.178620 1.44319i
\(736\) −20.9407 −0.771884
\(737\) −15.4009 + 19.3121i −0.567299 + 0.711371i
\(738\) 4.73683 + 2.28114i 0.174365 + 0.0839698i
\(739\) 0.859487 + 3.76566i 0.0316168 + 0.138522i 0.988273 0.152698i \(-0.0487961\pi\)
−0.956656 + 0.291220i \(0.905939\pi\)
\(740\) 20.0932 + 9.67639i 0.738642 + 0.355711i
\(741\) 1.23773 0.596059i 0.0454691 0.0218968i
\(742\) 4.28932 4.85293i 0.157466 0.178157i
\(743\) 15.0146 + 7.23066i 0.550833 + 0.265267i 0.688531 0.725207i \(-0.258256\pi\)
−0.137698 + 0.990474i \(0.543970\pi\)
\(744\) 5.26018 + 6.59605i 0.192847 + 0.241823i
\(745\) −5.23423 + 2.52067i −0.191768 + 0.0923504i
\(746\) −4.44899 + 5.57886i −0.162889 + 0.204257i
\(747\) −0.494053 + 2.16459i −0.0180765 + 0.0791982i
\(748\) 8.09248 10.1476i 0.295890 0.371035i
\(749\) 22.6065 9.50914i 0.826023 0.347457i
\(750\) −4.93946 6.19389i −0.180364 0.226169i
\(751\) −38.4153 + 18.4998i −1.40179 + 0.675068i −0.973525 0.228582i \(-0.926591\pi\)
−0.428270 + 0.903651i \(0.640877\pi\)
\(752\) 1.06205 4.65315i 0.0387290 0.169683i
\(753\) −14.7491 −0.537487
\(754\) 3.18034 0.115821
\(755\) −12.8591 + 56.3395i −0.467991 + 2.05040i
\(756\) 2.66522 + 15.1829i 0.0969329 + 0.552196i
\(757\) 9.20293 + 40.3207i 0.334486 + 1.46548i 0.810342 + 0.585957i \(0.199281\pi\)
−0.475856 + 0.879523i \(0.657862\pi\)
\(758\) 3.49098 + 15.2950i 0.126798 + 0.555538i
\(759\) 13.8040 + 17.3096i 0.501052 + 0.628300i
\(760\) 2.04522 + 2.56463i 0.0741880 + 0.0930289i
\(761\) 6.57783 + 28.8194i 0.238446 + 1.04470i 0.942409 + 0.334464i \(0.108555\pi\)
−0.703962 + 0.710237i \(0.748588\pi\)
\(762\) 2.77813 + 12.1718i 0.100641 + 0.440937i
\(763\) −1.07155 1.49283i −0.0387927 0.0540442i
\(764\) 4.74581 20.7928i 0.171697 0.752256i
\(765\) 11.1294 0.402385
\(766\) −18.4280 −0.665832
\(767\) −1.89848 + 8.31780i −0.0685502 + 0.300338i
\(768\) 0.801186 0.385831i 0.0289103 0.0139225i
\(769\) 22.0048 + 27.5931i 0.793512 + 0.995032i 0.999863 + 0.0165542i \(0.00526961\pi\)
−0.206351 + 0.978478i \(0.566159\pi\)
\(770\) −7.85727 4.28661i −0.283156 0.154479i
\(771\) 35.4412 44.4418i 1.27638 1.60053i
\(772\) −7.45250 + 32.6515i −0.268221 + 1.17515i
\(773\) 2.98428 3.74217i 0.107337 0.134596i −0.725261 0.688474i \(-0.758281\pi\)
0.832598 + 0.553877i \(0.186852\pi\)
\(774\) −2.28301 + 1.09944i −0.0820613 + 0.0395186i