Properties

Label 224.2.u.c.85.7
Level $224$
Weight $2$
Character 224.85
Analytic conductor $1.789$
Analytic rank $0$
Dimension $52$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 224 = 2^{5} \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 224.u (of order \(8\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.78864900528\)
Analytic rank: \(0\)
Dimension: \(52\)
Relative dimension: \(13\) over \(\Q(\zeta_{8})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{8}]$

Embedding invariants

Embedding label 85.7
Character \(\chi\) \(=\) 224.85
Dual form 224.2.u.c.29.7

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.0564658 + 1.41309i) q^{2} +(-2.95511 + 1.22405i) q^{3} +(-1.99362 - 0.159582i) q^{4} +(-1.21151 + 2.92484i) q^{5} +(-1.56282 - 4.24494i) q^{6} +(0.707107 + 0.707107i) q^{7} +(0.338075 - 2.80815i) q^{8} +(5.11306 - 5.11306i) q^{9} +O(q^{10})\) \(q+(-0.0564658 + 1.41309i) q^{2} +(-2.95511 + 1.22405i) q^{3} +(-1.99362 - 0.159582i) q^{4} +(-1.21151 + 2.92484i) q^{5} +(-1.56282 - 4.24494i) q^{6} +(0.707107 + 0.707107i) q^{7} +(0.338075 - 2.80815i) q^{8} +(5.11306 - 5.11306i) q^{9} +(-4.06464 - 1.87712i) q^{10} +(-1.89943 - 0.786772i) q^{11} +(6.08671 - 1.96870i) q^{12} +(1.39305 + 3.36312i) q^{13} +(-1.03913 + 0.959275i) q^{14} -10.1262i q^{15} +(3.94907 + 0.636293i) q^{16} -1.19342i q^{17} +(6.93648 + 7.51391i) q^{18} +(-1.98932 - 4.80264i) q^{19} +(2.88204 - 5.63769i) q^{20} +(-2.95511 - 1.22405i) q^{21} +(1.21903 - 2.63964i) q^{22} +(-4.77774 + 4.77774i) q^{23} +(2.43826 + 8.71221i) q^{24} +(-3.55139 - 3.55139i) q^{25} +(-4.83104 + 1.77860i) q^{26} +(-5.17889 + 12.5030i) q^{27} +(-1.29686 - 1.52255i) q^{28} +(-1.61945 + 0.670798i) q^{29} +(14.3091 + 0.571782i) q^{30} -1.81899 q^{31} +(-1.12212 + 5.54444i) q^{32} +6.57608 q^{33} +(1.68641 + 0.0673876i) q^{34} +(-2.92484 + 1.21151i) q^{35} +(-11.0095 + 9.37757i) q^{36} +(3.48596 - 8.41586i) q^{37} +(6.89886 - 2.53989i) q^{38} +(-8.23324 - 8.23324i) q^{39} +(7.80380 + 4.39091i) q^{40} +(-6.87077 + 6.87077i) q^{41} +(1.89655 - 4.10671i) q^{42} +(2.37639 + 0.984335i) q^{43} +(3.66120 + 1.87164i) q^{44} +(8.76036 + 21.1494i) q^{45} +(-6.48158 - 7.02114i) q^{46} +1.33587i q^{47} +(-12.4488 + 2.95352i) q^{48} +1.00000i q^{49} +(5.21894 - 4.81788i) q^{50} +(1.46080 + 3.52669i) q^{51} +(-2.24052 - 6.92710i) q^{52} +(-5.26270 - 2.17988i) q^{53} +(-17.3753 - 8.02421i) q^{54} +(4.60236 - 4.60236i) q^{55} +(2.22472 - 1.74661i) q^{56} +(11.7573 + 11.7573i) q^{57} +(-0.856451 - 2.32630i) q^{58} +(3.13737 - 7.57428i) q^{59} +(-1.61595 + 20.1877i) q^{60} +(-4.76993 + 1.97577i) q^{61} +(0.102711 - 2.57039i) q^{62} +7.23096 q^{63} +(-7.77141 - 1.89873i) q^{64} -11.5243 q^{65} +(-0.371324 + 9.29257i) q^{66} +(-9.61034 + 3.98073i) q^{67} +(-0.190449 + 2.37923i) q^{68} +(8.27057 - 19.9669i) q^{69} +(-1.54681 - 4.20145i) q^{70} +(6.26846 + 6.26846i) q^{71} +(-12.6296 - 16.0868i) q^{72} +(0.436110 - 0.436110i) q^{73} +(11.6955 + 5.40117i) q^{74} +(14.8418 + 6.14767i) q^{75} +(3.19953 + 9.89210i) q^{76} +(-0.786772 - 1.89943i) q^{77} +(12.0992 - 11.1694i) q^{78} -4.79357i q^{79} +(-6.64538 + 10.7795i) q^{80} -21.5939i q^{81} +(-9.32102 - 10.0969i) q^{82} +(2.57761 + 6.22290i) q^{83} +(5.69604 + 2.91187i) q^{84} +(3.49056 + 1.44584i) q^{85} +(-1.52513 + 3.30247i) q^{86} +(3.96456 - 3.96456i) q^{87} +(-2.85152 + 5.06791i) q^{88} +(-8.88342 - 8.88342i) q^{89} +(-30.3806 + 11.1849i) q^{90} +(-1.39305 + 3.36312i) q^{91} +(10.2875 - 8.76257i) q^{92} +(5.37531 - 2.22652i) q^{93} +(-1.88769 - 0.0754308i) q^{94} +16.4570 q^{95} +(-3.47065 - 17.7580i) q^{96} -5.09690 q^{97} +(-1.41309 - 0.0564658i) q^{98} +(-13.7347 + 5.68912i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 52 q - 20 q^{6} + O(q^{10}) \) \( 52 q - 20 q^{6} - 8 q^{10} + 12 q^{12} - 12 q^{16} - 20 q^{18} + 20 q^{22} - 20 q^{23} - 8 q^{24} + 20 q^{26} - 24 q^{27} - 8 q^{28} + 20 q^{30} + 60 q^{32} - 48 q^{33} + 48 q^{34} + 8 q^{36} - 60 q^{38} - 24 q^{39} + 20 q^{40} - 44 q^{43} + 32 q^{44} + 40 q^{45} - 32 q^{46} - 84 q^{48} - 124 q^{50} + 16 q^{51} - 32 q^{52} - 36 q^{53} + 96 q^{54} + 32 q^{55} + 16 q^{56} + 4 q^{58} - 92 q^{60} - 32 q^{61} + 12 q^{62} + 68 q^{63} + 48 q^{64} + 80 q^{65} + 16 q^{66} + 28 q^{67} - 4 q^{68} - 32 q^{69} + 8 q^{70} - 88 q^{72} + 36 q^{74} + 32 q^{75} + 96 q^{76} - 12 q^{77} + 12 q^{78} - 108 q^{80} - 96 q^{82} + 64 q^{85} + 76 q^{86} - 56 q^{87} + 104 q^{88} - 132 q^{90} + 32 q^{92} - 4 q^{94} - 64 q^{95} + 8 q^{96} - 72 q^{97} - 64 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/224\mathbb{Z}\right)^\times\).

\(n\) \(127\) \(129\) \(197\)
\(\chi(n)\) \(1\) \(1\) \(e\left(\frac{5}{8}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.0564658 + 1.41309i −0.0399274 + 0.999203i
\(3\) −2.95511 + 1.22405i −1.70613 + 0.706704i −0.999999 0.00137446i \(-0.999562\pi\)
−0.706134 + 0.708078i \(0.749562\pi\)
\(4\) −1.99362 0.159582i −0.996812 0.0797911i
\(5\) −1.21151 + 2.92484i −0.541802 + 1.30803i 0.381648 + 0.924308i \(0.375357\pi\)
−0.923450 + 0.383719i \(0.874643\pi\)
\(6\) −1.56282 4.24494i −0.638019 1.73299i
\(7\) 0.707107 + 0.707107i 0.267261 + 0.267261i
\(8\) 0.338075 2.80815i 0.119528 0.992831i
\(9\) 5.11306 5.11306i 1.70435 1.70435i
\(10\) −4.06464 1.87712i −1.28535 0.593596i
\(11\) −1.89943 0.786772i −0.572701 0.237221i 0.0774876 0.996993i \(-0.475310\pi\)
−0.650189 + 0.759773i \(0.725310\pi\)
\(12\) 6.08671 1.96870i 1.75708 0.568316i
\(13\) 1.39305 + 3.36312i 0.386363 + 0.932762i 0.990704 + 0.136037i \(0.0434364\pi\)
−0.604341 + 0.796726i \(0.706564\pi\)
\(14\) −1.03913 + 0.959275i −0.277719 + 0.256377i
\(15\) 10.1262i 2.61456i
\(16\) 3.94907 + 0.636293i 0.987267 + 0.159073i
\(17\) 1.19342i 0.289447i −0.989472 0.144724i \(-0.953771\pi\)
0.989472 0.144724i \(-0.0462293\pi\)
\(18\) 6.93648 + 7.51391i 1.63494 + 1.77105i
\(19\) −1.98932 4.80264i −0.456381 1.10180i −0.969852 0.243694i \(-0.921641\pi\)
0.513472 0.858107i \(-0.328359\pi\)
\(20\) 2.88204 5.63769i 0.644444 1.26063i
\(21\) −2.95511 1.22405i −0.644858 0.267109i
\(22\) 1.21903 2.63964i 0.259898 0.562773i
\(23\) −4.77774 + 4.77774i −0.996228 + 0.996228i −0.999993 0.00376493i \(-0.998802\pi\)
0.00376493 + 0.999993i \(0.498802\pi\)
\(24\) 2.43826 + 8.71221i 0.497707 + 1.77837i
\(25\) −3.55139 3.55139i −0.710277 0.710277i
\(26\) −4.83104 + 1.77860i −0.947445 + 0.348812i
\(27\) −5.17889 + 12.5030i −0.996679 + 2.40620i
\(28\) −1.29686 1.52255i −0.245084 0.287734i
\(29\) −1.61945 + 0.670798i −0.300724 + 0.124564i −0.527943 0.849280i \(-0.677037\pi\)
0.227219 + 0.973844i \(0.427037\pi\)
\(30\) 14.3091 + 0.571782i 2.61248 + 0.104393i
\(31\) −1.81899 −0.326700 −0.163350 0.986568i \(-0.552230\pi\)
−0.163350 + 0.986568i \(0.552230\pi\)
\(32\) −1.12212 + 5.54444i −0.198366 + 0.980128i
\(33\) 6.57608 1.14475
\(34\) 1.68641 + 0.0673876i 0.289217 + 0.0115569i
\(35\) −2.92484 + 1.21151i −0.494388 + 0.204782i
\(36\) −11.0095 + 9.37757i −1.83491 + 1.56293i
\(37\) 3.48596 8.41586i 0.573089 1.38356i −0.325824 0.945431i \(-0.605642\pi\)
0.898912 0.438128i \(-0.144358\pi\)
\(38\) 6.89886 2.53989i 1.11914 0.412025i
\(39\) −8.23324 8.23324i −1.31837 1.31837i
\(40\) 7.80380 + 4.39091i 1.23389 + 0.694263i
\(41\) −6.87077 + 6.87077i −1.07303 + 1.07303i −0.0759198 + 0.997114i \(0.524189\pi\)
−0.997114 + 0.0759198i \(0.975811\pi\)
\(42\) 1.89655 4.10671i 0.292643 0.633679i
\(43\) 2.37639 + 0.984335i 0.362397 + 0.150110i 0.556449 0.830881i \(-0.312163\pi\)
−0.194053 + 0.980991i \(0.562163\pi\)
\(44\) 3.66120 + 1.87164i 0.551947 + 0.282161i
\(45\) 8.76036 + 21.1494i 1.30592 + 3.15276i
\(46\) −6.48158 7.02114i −0.955657 1.03521i
\(47\) 1.33587i 0.194856i 0.995243 + 0.0974280i \(0.0310616\pi\)
−0.995243 + 0.0974280i \(0.968938\pi\)
\(48\) −12.4488 + 2.95352i −1.79683 + 0.426305i
\(49\) 1.00000i 0.142857i
\(50\) 5.21894 4.81788i 0.738070 0.681351i
\(51\) 1.46080 + 3.52669i 0.204553 + 0.493836i
\(52\) −2.24052 6.92710i −0.310705 0.960617i
\(53\) −5.26270 2.17988i −0.722887 0.299430i −0.00926155 0.999957i \(-0.502948\pi\)
−0.713625 + 0.700528i \(0.752948\pi\)
\(54\) −17.3753 8.02421i −2.36448 1.09196i
\(55\) 4.60236 4.60236i 0.620582 0.620582i
\(56\) 2.22472 1.74661i 0.297290 0.233400i
\(57\) 11.7573 + 11.7573i 1.55729 + 1.55729i
\(58\) −0.856451 2.32630i −0.112458 0.305458i
\(59\) 3.13737 7.57428i 0.408451 0.986088i −0.577095 0.816677i \(-0.695814\pi\)
0.985546 0.169410i \(-0.0541864\pi\)
\(60\) −1.61595 + 20.1877i −0.208619 + 2.60623i
\(61\) −4.76993 + 1.97577i −0.610728 + 0.252972i −0.666540 0.745470i \(-0.732225\pi\)
0.0558120 + 0.998441i \(0.482225\pi\)
\(62\) 0.102711 2.57039i 0.0130443 0.326439i
\(63\) 7.23096 0.911016
\(64\) −7.77141 1.89873i −0.971426 0.237341i
\(65\) −11.5243 −1.42941
\(66\) −0.371324 + 9.29257i −0.0457068 + 1.14384i
\(67\) −9.61034 + 3.98073i −1.17409 + 0.486324i −0.882542 0.470233i \(-0.844170\pi\)
−0.291547 + 0.956557i \(0.594170\pi\)
\(68\) −0.190449 + 2.37923i −0.0230953 + 0.288525i
\(69\) 8.27057 19.9669i 0.995660 2.40374i
\(70\) −1.54681 4.20145i −0.184879 0.502170i
\(71\) 6.26846 + 6.26846i 0.743929 + 0.743929i 0.973332 0.229402i \(-0.0736771\pi\)
−0.229402 + 0.973332i \(0.573677\pi\)
\(72\) −12.6296 16.0868i −1.48842 1.89585i
\(73\) 0.436110 0.436110i 0.0510429 0.0510429i −0.681125 0.732167i \(-0.738509\pi\)
0.732167 + 0.681125i \(0.238509\pi\)
\(74\) 11.6955 + 5.40117i 1.35957 + 0.627874i
\(75\) 14.8418 + 6.14767i 1.71378 + 0.709872i
\(76\) 3.19953 + 9.89210i 0.367012 + 1.13470i
\(77\) −0.786772 1.89943i −0.0896609 0.216461i
\(78\) 12.0992 11.1694i 1.36996 1.26468i
\(79\) 4.79357i 0.539319i −0.962956 0.269660i \(-0.913089\pi\)
0.962956 0.269660i \(-0.0869112\pi\)
\(80\) −6.64538 + 10.7795i −0.742976 + 1.20518i
\(81\) 21.5939i 2.39933i
\(82\) −9.32102 10.0969i −1.02933 1.11502i
\(83\) 2.57761 + 6.22290i 0.282929 + 0.683052i 0.999901 0.0140503i \(-0.00447251\pi\)
−0.716972 + 0.697102i \(0.754473\pi\)
\(84\) 5.69604 + 2.91187i 0.621489 + 0.317711i
\(85\) 3.49056 + 1.44584i 0.378605 + 0.156823i
\(86\) −1.52513 + 3.30247i −0.164459 + 0.356114i
\(87\) 3.96456 3.96456i 0.425046 0.425046i
\(88\) −2.85152 + 5.06791i −0.303973 + 0.540241i
\(89\) −8.88342 8.88342i −0.941641 0.941641i 0.0567479 0.998389i \(-0.481927\pi\)
−0.998389 + 0.0567479i \(0.981927\pi\)
\(90\) −30.3806 + 11.1849i −3.20239 + 1.17899i
\(91\) −1.39305 + 3.36312i −0.146031 + 0.352551i
\(92\) 10.2875 8.76257i 1.07254 0.913561i
\(93\) 5.37531 2.22652i 0.557393 0.230880i
\(94\) −1.88769 0.0754308i −0.194701 0.00778009i
\(95\) 16.4570 1.68845
\(96\) −3.47065 17.7580i −0.354222 1.81241i
\(97\) −5.09690 −0.517512 −0.258756 0.965943i \(-0.583313\pi\)
−0.258756 + 0.965943i \(0.583313\pi\)
\(98\) −1.41309 0.0564658i −0.142743 0.00570391i
\(99\) −13.7347 + 5.68912i −1.38039 + 0.571778i
\(100\) 6.51339 + 7.64686i 0.651339 + 0.764686i
\(101\) −1.37705 + 3.32450i −0.137022 + 0.330800i −0.977464 0.211101i \(-0.932295\pi\)
0.840443 + 0.541901i \(0.182295\pi\)
\(102\) −5.06601 + 1.86510i −0.501609 + 0.184673i
\(103\) 9.36506 + 9.36506i 0.922766 + 0.922766i 0.997224 0.0744578i \(-0.0237226\pi\)
−0.0744578 + 0.997224i \(0.523723\pi\)
\(104\) 9.91511 2.77491i 0.972256 0.272102i
\(105\) 7.16027 7.16027i 0.698771 0.698771i
\(106\) 3.37752 7.31355i 0.328054 0.710355i
\(107\) 14.5212 + 6.01490i 1.40382 + 0.581482i 0.950741 0.309987i \(-0.100325\pi\)
0.453081 + 0.891469i \(0.350325\pi\)
\(108\) 12.3200 24.0997i 1.18549 2.31900i
\(109\) 5.33917 + 12.8899i 0.511400 + 1.23463i 0.943069 + 0.332596i \(0.107925\pi\)
−0.431670 + 0.902032i \(0.642075\pi\)
\(110\) 6.24365 + 6.76340i 0.595309 + 0.644865i
\(111\) 29.1368i 2.76554i
\(112\) 2.34248 + 3.24234i 0.221344 + 0.306372i
\(113\) 4.53065i 0.426208i 0.977030 + 0.213104i \(0.0683572\pi\)
−0.977030 + 0.213104i \(0.931643\pi\)
\(114\) −17.2780 + 15.9502i −1.61823 + 1.49387i
\(115\) −8.18585 19.7624i −0.763334 1.84285i
\(116\) 3.33562 1.07888i 0.309704 0.100172i
\(117\) 24.3186 + 10.0731i 2.24826 + 0.931258i
\(118\) 10.5260 + 4.86106i 0.968993 + 0.447497i
\(119\) 0.843877 0.843877i 0.0773581 0.0773581i
\(120\) −28.4358 3.42340i −2.59582 0.312512i
\(121\) −4.78933 4.78933i −0.435394 0.435394i
\(122\) −2.52260 6.85189i −0.228385 0.620341i
\(123\) 11.8937 28.7140i 1.07242 2.58906i
\(124\) 3.62638 + 0.290278i 0.325658 + 0.0260677i
\(125\) 0.0655671 0.0271588i 0.00586450 0.00242915i
\(126\) −0.408302 + 10.2180i −0.0363745 + 0.910289i
\(127\) −1.11721 −0.0991359 −0.0495680 0.998771i \(-0.515784\pi\)
−0.0495680 + 0.998771i \(0.515784\pi\)
\(128\) 3.12189 10.8745i 0.275939 0.961175i
\(129\) −8.22738 −0.724380
\(130\) 0.650728 16.2848i 0.0570726 1.42827i
\(131\) −14.3220 + 5.93236i −1.25132 + 0.518313i −0.907234 0.420626i \(-0.861810\pi\)
−0.344084 + 0.938939i \(0.611810\pi\)
\(132\) −13.1102 1.04943i −1.14110 0.0913408i
\(133\) 1.98932 4.80264i 0.172496 0.416441i
\(134\) −5.08246 13.8050i −0.439058 1.19257i
\(135\) −30.2948 30.2948i −2.60736 2.60736i
\(136\) −3.35131 0.403466i −0.287372 0.0345969i
\(137\) −13.5680 + 13.5680i −1.15919 + 1.15919i −0.174546 + 0.984649i \(0.555846\pi\)
−0.984649 + 0.174546i \(0.944154\pi\)
\(138\) 27.7480 + 12.8145i 2.36206 + 1.09084i
\(139\) −9.60504 3.97854i −0.814689 0.337455i −0.0638656 0.997959i \(-0.520343\pi\)
−0.750823 + 0.660503i \(0.770343\pi\)
\(140\) 6.02436 1.94854i 0.509151 0.164681i
\(141\) −1.63516 3.94763i −0.137705 0.332450i
\(142\) −9.21183 + 8.50392i −0.773039 + 0.713633i
\(143\) 7.48404i 0.625847i
\(144\) 23.4452 16.9384i 1.95377 1.41153i
\(145\) 5.54930i 0.460844i
\(146\) 0.591636 + 0.640887i 0.0489642 + 0.0530402i
\(147\) −1.22405 2.95511i −0.100958 0.243733i
\(148\) −8.29272 + 16.2218i −0.681657 + 1.33342i
\(149\) 10.7880 + 4.46852i 0.883784 + 0.366075i 0.777963 0.628310i \(-0.216253\pi\)
0.105821 + 0.994385i \(0.466253\pi\)
\(150\) −9.52524 + 20.6256i −0.777733 + 1.68407i
\(151\) −5.42374 + 5.42374i −0.441378 + 0.441378i −0.892475 0.451097i \(-0.851033\pi\)
0.451097 + 0.892475i \(0.351033\pi\)
\(152\) −14.1591 + 3.96265i −1.14845 + 0.321413i
\(153\) −6.10204 6.10204i −0.493321 0.493321i
\(154\) 2.72849 1.00452i 0.219868 0.0809467i
\(155\) 2.20372 5.32024i 0.177007 0.427332i
\(156\) 15.1001 + 17.7278i 1.20897 + 1.41936i
\(157\) 4.99503 2.06901i 0.398646 0.165125i −0.174348 0.984684i \(-0.555782\pi\)
0.572994 + 0.819559i \(0.305782\pi\)
\(158\) 6.77373 + 0.270673i 0.538889 + 0.0215336i
\(159\) 18.2201 1.44495
\(160\) −14.8571 9.99916i −1.17456 0.790503i
\(161\) −6.75675 −0.532506
\(162\) 30.5141 + 1.21932i 2.39741 + 0.0957988i
\(163\) −3.88955 + 1.61111i −0.304653 + 0.126192i −0.529773 0.848140i \(-0.677723\pi\)
0.225119 + 0.974331i \(0.427723\pi\)
\(164\) 14.7942 12.6013i 1.15523 0.983994i
\(165\) −7.96697 + 19.2340i −0.620228 + 1.49736i
\(166\) −8.93903 + 3.29100i −0.693803 + 0.255431i
\(167\) 1.56365 + 1.56365i 0.120999 + 0.120999i 0.765013 0.644014i \(-0.222732\pi\)
−0.644014 + 0.765013i \(0.722732\pi\)
\(168\) −4.43635 + 7.88457i −0.342272 + 0.608308i
\(169\) −0.177611 + 0.177611i −0.0136624 + 0.0136624i
\(170\) −2.24019 + 4.85083i −0.171815 + 0.372041i
\(171\) −34.7277 14.3847i −2.65569 1.10002i
\(172\) −4.58055 2.34162i −0.349264 0.178547i
\(173\) −2.75410 6.64900i −0.209391 0.505514i 0.783937 0.620840i \(-0.213209\pi\)
−0.993328 + 0.115327i \(0.963209\pi\)
\(174\) 5.37840 + 5.82613i 0.407736 + 0.441678i
\(175\) 5.02242i 0.379659i
\(176\) −7.00038 4.31561i −0.527673 0.325301i
\(177\) 26.2231i 1.97105i
\(178\) 13.0546 12.0514i 0.978487 0.903292i
\(179\) 7.21557 + 17.4199i 0.539317 + 1.30203i 0.925200 + 0.379479i \(0.123897\pi\)
−0.385883 + 0.922548i \(0.626103\pi\)
\(180\) −14.0898 43.5619i −1.05019 3.24691i
\(181\) −15.6146 6.46778i −1.16062 0.480746i −0.282541 0.959255i \(-0.591177\pi\)
−0.878083 + 0.478509i \(0.841177\pi\)
\(182\) −4.67372 2.15840i −0.346439 0.159991i
\(183\) 11.6772 11.6772i 0.863207 0.863207i
\(184\) 11.8014 + 15.0318i 0.870009 + 1.10816i
\(185\) 20.3917 + 20.3917i 1.49923 + 1.49923i
\(186\) 2.84275 + 7.72149i 0.208440 + 0.566167i
\(187\) −0.938951 + 2.26683i −0.0686629 + 0.165767i
\(188\) 0.213180 2.66321i 0.0155478 0.194235i
\(189\) −12.5030 + 5.17889i −0.909456 + 0.376709i
\(190\) −0.929258 + 23.2551i −0.0674155 + 1.68711i
\(191\) 1.01760 0.0736312 0.0368156 0.999322i \(-0.488279\pi\)
0.0368156 + 0.999322i \(0.488279\pi\)
\(192\) 25.2895 3.90161i 1.82511 0.281575i
\(193\) 7.46181 0.537113 0.268557 0.963264i \(-0.413453\pi\)
0.268557 + 0.963264i \(0.413453\pi\)
\(194\) 0.287801 7.20236i 0.0206629 0.517099i
\(195\) 34.0555 14.1062i 2.43876 1.01017i
\(196\) 0.159582 1.99362i 0.0113987 0.142402i
\(197\) −0.292908 + 0.707143i −0.0208688 + 0.0503818i −0.933970 0.357350i \(-0.883680\pi\)
0.913102 + 0.407732i \(0.133680\pi\)
\(198\) −7.26367 19.7296i −0.516206 1.40212i
\(199\) 4.45204 + 4.45204i 0.315597 + 0.315597i 0.847073 0.531476i \(-0.178363\pi\)
−0.531476 + 0.847073i \(0.678363\pi\)
\(200\) −11.1735 + 8.77219i −0.790083 + 0.620287i
\(201\) 23.5270 23.5270i 1.65947 1.65947i
\(202\) −4.62004 2.13361i −0.325065 0.150120i
\(203\) −1.61945 0.670798i −0.113663 0.0470808i
\(204\) −2.34950 7.26402i −0.164498 0.508583i
\(205\) −11.7719 28.4199i −0.822184 1.98493i
\(206\) −13.7624 + 12.7048i −0.958874 + 0.885187i
\(207\) 48.8578i 3.39585i
\(208\) 3.36132 + 14.1676i 0.233065 + 0.982345i
\(209\) 10.6874i 0.739265i
\(210\) 9.71377 + 10.5224i 0.670314 + 0.726114i
\(211\) 8.02053 + 19.3633i 0.552156 + 1.33302i 0.915856 + 0.401507i \(0.131513\pi\)
−0.363700 + 0.931516i \(0.618487\pi\)
\(212\) 10.1440 + 5.18569i 0.696690 + 0.356155i
\(213\) −26.1969 10.8511i −1.79498 0.743505i
\(214\) −9.31952 + 20.1801i −0.637069 + 1.37949i
\(215\) −5.75804 + 5.75804i −0.392695 + 0.392695i
\(216\) 33.3593 + 18.7700i 2.26981 + 1.27714i
\(217\) −1.28622 1.28622i −0.0873142 0.0873142i
\(218\) −18.5160 + 6.81687i −1.25406 + 0.461696i
\(219\) −0.754935 + 1.82257i −0.0510138 + 0.123158i
\(220\) −9.90982 + 8.44091i −0.668120 + 0.569086i
\(221\) 4.01362 1.66250i 0.269986 0.111832i
\(222\) −41.1728 1.64523i −2.76333 0.110421i
\(223\) −1.41136 −0.0945115 −0.0472558 0.998883i \(-0.515048\pi\)
−0.0472558 + 0.998883i \(0.515048\pi\)
\(224\) −4.71397 + 3.12705i −0.314966 + 0.208935i
\(225\) −36.3169 −2.42113
\(226\) −6.40219 0.255827i −0.425868 0.0170174i
\(227\) −5.68703 + 2.35565i −0.377462 + 0.156350i −0.563344 0.826222i \(-0.690486\pi\)
0.185883 + 0.982572i \(0.440486\pi\)
\(228\) −21.5634 25.3159i −1.42807 1.67658i
\(229\) −6.15637 + 14.8628i −0.406825 + 0.982161i 0.579143 + 0.815226i \(0.303387\pi\)
−0.985968 + 0.166936i \(0.946613\pi\)
\(230\) 28.3882 10.4514i 1.87186 0.689145i
\(231\) 4.64999 + 4.64999i 0.305947 + 0.305947i
\(232\) 1.33621 + 4.77444i 0.0877262 + 0.313457i
\(233\) −15.3837 + 15.3837i −1.00782 + 1.00782i −0.00784982 + 0.999969i \(0.502499\pi\)
−0.999969 + 0.00784982i \(0.997501\pi\)
\(234\) −15.6073 + 33.7955i −1.02028 + 2.20928i
\(235\) −3.90719 1.61841i −0.254877 0.105573i
\(236\) −7.46346 + 14.5996i −0.485830 + 0.950353i
\(237\) 5.86756 + 14.1655i 0.381139 + 0.920150i
\(238\) 1.14482 + 1.24012i 0.0742077 + 0.0803851i
\(239\) 13.8698i 0.897165i −0.893741 0.448583i \(-0.851929\pi\)
0.893741 0.448583i \(-0.148071\pi\)
\(240\) 6.44321 39.9889i 0.415907 2.58127i
\(241\) 11.6377i 0.749648i −0.927096 0.374824i \(-0.877703\pi\)
0.927096 0.374824i \(-0.122297\pi\)
\(242\) 7.03817 6.49730i 0.452431 0.417662i
\(243\) 10.8953 + 26.3035i 0.698933 + 1.68737i
\(244\) 9.82475 3.17775i 0.628965 0.203434i
\(245\) −2.92484 1.21151i −0.186861 0.0774003i
\(246\) 39.9038 + 18.4282i 2.54417 + 1.17494i
\(247\) 13.3806 13.3806i 0.851389 0.851389i
\(248\) −0.614954 + 5.10799i −0.0390496 + 0.324358i
\(249\) −15.2342 15.2342i −0.965430 0.965430i
\(250\) 0.0346754 + 0.0941855i 0.00219306 + 0.00595681i
\(251\) 9.77967 23.6102i 0.617288 1.49026i −0.237554 0.971374i \(-0.576346\pi\)
0.854841 0.518890i \(-0.173654\pi\)
\(252\) −14.4158 1.15393i −0.908111 0.0726909i
\(253\) 12.8340 5.31602i 0.806867 0.334215i
\(254\) 0.0630839 1.57871i 0.00395824 0.0990569i
\(255\) −12.0848 −0.756778
\(256\) 15.1903 + 5.02553i 0.949391 + 0.314096i
\(257\) 2.85163 0.177880 0.0889398 0.996037i \(-0.471652\pi\)
0.0889398 + 0.996037i \(0.471652\pi\)
\(258\) 0.464566 11.6260i 0.0289226 0.723802i
\(259\) 8.41586 3.48596i 0.522936 0.216607i
\(260\) 22.9751 + 1.83907i 1.42485 + 0.114054i
\(261\) −4.85051 + 11.7102i −0.300239 + 0.724842i
\(262\) −7.57423 20.5732i −0.467938 1.27101i
\(263\) −9.56355 9.56355i −0.589714 0.589714i 0.347840 0.937554i \(-0.386915\pi\)
−0.937554 + 0.347840i \(0.886915\pi\)
\(264\) 2.22321 18.4666i 0.136829 1.13654i
\(265\) 12.7516 12.7516i 0.783324 0.783324i
\(266\) 6.67421 + 3.08226i 0.409222 + 0.188985i
\(267\) 37.1252 + 15.3778i 2.27203 + 0.941104i
\(268\) 19.7946 6.40244i 1.20915 0.391091i
\(269\) 2.27600 + 5.49474i 0.138770 + 0.335020i 0.977952 0.208830i \(-0.0669657\pi\)
−0.839182 + 0.543851i \(0.816966\pi\)
\(270\) 44.5198 41.0986i 2.70939 2.50118i
\(271\) 13.6025i 0.826291i 0.910665 + 0.413146i \(0.135570\pi\)
−0.910665 + 0.413146i \(0.864430\pi\)
\(272\) 0.759367 4.71290i 0.0460434 0.285762i
\(273\) 11.6436i 0.704700i
\(274\) −18.4067 19.9389i −1.11199 1.20455i
\(275\) 3.95150 + 9.53975i 0.238284 + 0.575269i
\(276\) −19.6748 + 38.4867i −1.18428 + 2.31663i
\(277\) 17.2735 + 7.15491i 1.03786 + 0.429897i 0.835544 0.549423i \(-0.185152\pi\)
0.202318 + 0.979320i \(0.435152\pi\)
\(278\) 6.16437 13.3481i 0.369714 0.800565i
\(279\) −9.30059 + 9.30059i −0.556812 + 0.556812i
\(280\) 2.41328 + 8.62296i 0.144221 + 0.515320i
\(281\) 0.694367 + 0.694367i 0.0414225 + 0.0414225i 0.727515 0.686092i \(-0.240675\pi\)
−0.686092 + 0.727515i \(0.740675\pi\)
\(282\) 5.67067 2.08772i 0.337683 0.124322i
\(283\) −8.05332 + 19.4424i −0.478720 + 1.15573i 0.481489 + 0.876452i \(0.340096\pi\)
−0.960209 + 0.279281i \(0.909904\pi\)
\(284\) −11.4966 13.4973i −0.682199 0.800916i
\(285\) −48.6322 + 20.1441i −2.88072 + 1.19323i
\(286\) 10.5756 + 0.422593i 0.625348 + 0.0249884i
\(287\) −9.71673 −0.573561
\(288\) 22.6116 + 34.0866i 1.33240 + 2.00857i
\(289\) 15.5757 0.916220
\(290\) 7.84164 + 0.313346i 0.460477 + 0.0184003i
\(291\) 15.0619 6.23885i 0.882945 0.365728i
\(292\) −0.939035 + 0.799844i −0.0549529 + 0.0468074i
\(293\) 9.63029 23.2496i 0.562608 1.35825i −0.345066 0.938578i \(-0.612144\pi\)
0.907674 0.419676i \(-0.137856\pi\)
\(294\) 4.24494 1.56282i 0.247570 0.0911455i
\(295\) 18.3526 + 18.3526i 1.06853 + 1.06853i
\(296\) −22.4545 12.6343i −1.30514 0.734354i
\(297\) 19.6739 19.6739i 1.14160 1.14160i
\(298\) −6.92355 + 14.9920i −0.401071 + 0.868463i
\(299\) −22.7238 9.41249i −1.31415 0.544338i
\(300\) −28.6079 14.6246i −1.65168 0.844353i
\(301\) 0.984335 + 2.37639i 0.0567361 + 0.136973i
\(302\) −7.35795 7.97047i −0.423403 0.458649i
\(303\) 11.5098i 0.661222i
\(304\) −4.80006 20.2317i −0.275302 1.16037i
\(305\) 16.3449i 0.935908i
\(306\) 8.96727 8.27815i 0.512624 0.473230i
\(307\) −7.55249 18.2333i −0.431043 1.04063i −0.978952 0.204092i \(-0.934576\pi\)
0.547909 0.836538i \(-0.315424\pi\)
\(308\) 1.26541 + 3.91231i 0.0721034 + 0.222925i
\(309\) −39.1380 16.2115i −2.22648 0.922240i
\(310\) 7.39352 + 3.41445i 0.419924 + 0.193928i
\(311\) 18.5436 18.5436i 1.05151 1.05151i 0.0529146 0.998599i \(-0.483149\pi\)
0.998599 0.0529146i \(-0.0168511\pi\)
\(312\) −25.9036 + 20.3367i −1.46650 + 1.15134i
\(313\) 21.2453 + 21.2453i 1.20086 + 1.20086i 0.973906 + 0.226950i \(0.0728753\pi\)
0.226950 + 0.973906i \(0.427125\pi\)
\(314\) 2.64164 + 7.17523i 0.149076 + 0.404922i
\(315\) −8.76036 + 21.1494i −0.493590 + 1.19163i
\(316\) −0.764969 + 9.55658i −0.0430329 + 0.537600i
\(317\) −13.7411 + 5.69177i −0.771779 + 0.319681i −0.733593 0.679589i \(-0.762158\pi\)
−0.0381863 + 0.999271i \(0.512158\pi\)
\(318\) −1.02881 + 25.7466i −0.0576930 + 1.44380i
\(319\) 3.60380 0.201774
\(320\) 14.9686 20.4298i 0.836770 1.14206i
\(321\) −50.2744 −2.80604
\(322\) 0.381525 9.54786i 0.0212616 0.532082i
\(323\) −5.73157 + 2.37409i −0.318913 + 0.132098i
\(324\) −3.44601 + 43.0502i −0.191445 + 2.39168i
\(325\) 6.99648 16.8910i 0.388095 0.936944i
\(326\) −2.05700 5.58725i −0.113927 0.309449i
\(327\) −31.5557 31.5557i −1.74503 1.74503i
\(328\) 16.9713 + 21.6170i 0.937084 + 1.19360i
\(329\) −0.944599 + 0.944599i −0.0520775 + 0.0520775i
\(330\) −26.7294 12.3441i −1.47140 0.679519i
\(331\) 11.3494 + 4.70109i 0.623822 + 0.258395i 0.672125 0.740437i \(-0.265382\pi\)
−0.0483038 + 0.998833i \(0.515382\pi\)
\(332\) −4.14572 12.8174i −0.227526 0.703449i
\(333\) −25.2069 60.8548i −1.38133 3.33482i
\(334\) −2.29787 + 2.12128i −0.125734 + 0.116071i
\(335\) 32.9313i 1.79923i
\(336\) −10.8911 6.71416i −0.594157 0.366287i
\(337\) 13.6624i 0.744238i −0.928185 0.372119i \(-0.878631\pi\)
0.928185 0.372119i \(-0.121369\pi\)
\(338\) −0.240951 0.261009i −0.0131060 0.0141970i
\(339\) −5.54572 13.3886i −0.301202 0.727167i
\(340\) −6.72814 3.43949i −0.364885 0.186533i
\(341\) 3.45505 + 1.43113i 0.187101 + 0.0774999i
\(342\) 22.2877 48.2609i 1.20518 2.60965i
\(343\) −0.707107 + 0.707107i −0.0381802 + 0.0381802i
\(344\) 3.56756 6.34049i 0.192350 0.341856i
\(345\) 48.3801 + 48.3801i 2.60470 + 2.60470i
\(346\) 9.55111 3.51634i 0.513471 0.189040i
\(347\) −2.14111 + 5.16911i −0.114941 + 0.277492i −0.970872 0.239597i \(-0.922985\pi\)
0.855931 + 0.517089i \(0.172985\pi\)
\(348\) −8.53652 + 7.27117i −0.457605 + 0.389776i
\(349\) 12.4196 5.14435i 0.664804 0.275371i −0.0246543 0.999696i \(-0.507849\pi\)
0.689459 + 0.724325i \(0.257849\pi\)
\(350\) 7.09711 + 0.283595i 0.379356 + 0.0151588i
\(351\) −49.2634 −2.62949
\(352\) 6.49361 9.64845i 0.346111 0.514264i
\(353\) −0.915410 −0.0487224 −0.0243612 0.999703i \(-0.507755\pi\)
−0.0243612 + 0.999703i \(0.507755\pi\)
\(354\) −37.0555 1.48071i −1.96948 0.0786989i
\(355\) −25.9285 + 10.7399i −1.37614 + 0.570017i
\(356\) 16.2926 + 19.1278i 0.863504 + 1.01377i
\(357\) −1.46080 + 3.52669i −0.0773140 + 0.186652i
\(358\) −25.0233 + 9.21259i −1.32252 + 0.486900i
\(359\) −8.78552 8.78552i −0.463682 0.463682i 0.436178 0.899860i \(-0.356332\pi\)
−0.899860 + 0.436178i \(0.856332\pi\)
\(360\) 62.3523 17.4503i 3.28625 0.919713i
\(361\) −5.67290 + 5.67290i −0.298573 + 0.298573i
\(362\) 10.0212 21.6996i 0.526704 1.14050i
\(363\) 20.0154 + 8.29064i 1.05053 + 0.435146i
\(364\) 3.31391 6.48249i 0.173696 0.339775i
\(365\) 0.747201 + 1.80390i 0.0391103 + 0.0944206i
\(366\) 15.8416 + 17.1603i 0.828053 + 0.896984i
\(367\) 8.71688i 0.455018i 0.973776 + 0.227509i \(0.0730581\pi\)
−0.973776 + 0.227509i \(0.926942\pi\)
\(368\) −21.9077 + 15.8276i −1.14202 + 0.825069i
\(369\) 70.2613i 3.65766i
\(370\) −29.9667 + 27.6638i −1.55790 + 1.43818i
\(371\) −2.17988 5.26270i −0.113174 0.273226i
\(372\) −11.0716 + 3.58105i −0.574038 + 0.185669i
\(373\) −26.7498 11.0801i −1.38505 0.573708i −0.439226 0.898377i \(-0.644747\pi\)
−0.945828 + 0.324669i \(0.894747\pi\)
\(374\) −3.15020 1.45482i −0.162893 0.0752268i
\(375\) −0.160514 + 0.160514i −0.00828892 + 0.00828892i
\(376\) 3.75131 + 0.451623i 0.193459 + 0.0232907i
\(377\) −4.51195 4.51195i −0.232377 0.232377i
\(378\) −6.61223 17.9602i −0.340097 0.923772i
\(379\) 5.59606 13.5101i 0.287450 0.693966i −0.712520 0.701651i \(-0.752446\pi\)
0.999970 + 0.00768545i \(0.00244638\pi\)
\(380\) −32.8090 2.62624i −1.68307 0.134723i
\(381\) 3.30146 1.36751i 0.169139 0.0700597i
\(382\) −0.0574599 + 1.43796i −0.00293990 + 0.0735725i
\(383\) 21.4950 1.09834 0.549171 0.835710i \(-0.314944\pi\)
0.549171 + 0.835710i \(0.314944\pi\)
\(384\) 4.08532 + 35.9565i 0.208478 + 1.83490i
\(385\) 6.50872 0.331715
\(386\) −0.421338 + 10.5442i −0.0214455 + 0.536685i
\(387\) 17.1836 7.11769i 0.873492 0.361812i
\(388\) 10.1613 + 0.813375i 0.515862 + 0.0412929i
\(389\) −1.72385 + 4.16174i −0.0874026 + 0.211009i −0.961537 0.274676i \(-0.911430\pi\)
0.874134 + 0.485684i \(0.161430\pi\)
\(390\) 18.0104 + 48.9198i 0.911990 + 2.47715i
\(391\) 5.70186 + 5.70186i 0.288356 + 0.288356i
\(392\) 2.80815 + 0.338075i 0.141833 + 0.0170754i
\(393\) 35.0616 35.0616i 1.76862 1.76862i
\(394\) −0.982714 0.453834i −0.0495084 0.0228638i
\(395\) 14.0204 + 5.80745i 0.705444 + 0.292204i
\(396\) 28.2898 9.15013i 1.42161 0.459811i
\(397\) 4.46228 + 10.7729i 0.223955 + 0.540676i 0.995420 0.0955960i \(-0.0304757\pi\)
−0.771465 + 0.636272i \(0.780476\pi\)
\(398\) −6.54250 + 6.03972i −0.327946 + 0.302744i
\(399\) 16.6273i 0.832408i
\(400\) −11.7649 16.2844i −0.588247 0.814219i
\(401\) 19.4844i 0.973006i −0.873679 0.486503i \(-0.838272\pi\)
0.873679 0.486503i \(-0.161728\pi\)
\(402\) 31.9172 + 34.5741i 1.59188 + 1.72440i
\(403\) −2.53394 6.11748i −0.126225 0.304733i
\(404\) 3.27585 6.40804i 0.162980 0.318812i
\(405\) 63.1587 + 26.1612i 3.13838 + 1.29996i
\(406\) 1.03934 2.25054i 0.0515815 0.111693i
\(407\) −13.2427 + 13.2427i −0.656417 + 0.656417i
\(408\) 10.3973 2.90987i 0.514745 0.144060i
\(409\) 16.8705 + 16.8705i 0.834195 + 0.834195i 0.988088 0.153893i \(-0.0491810\pi\)
−0.153893 + 0.988088i \(0.549181\pi\)
\(410\) 40.8244 15.0299i 2.01617 0.742276i
\(411\) 23.4871 56.7029i 1.15853 2.79695i
\(412\) −17.1759 20.1649i −0.846196 0.993453i
\(413\) 7.57428 3.13737i 0.372706 0.154380i
\(414\) −69.0402 2.75880i −3.39314 0.135587i
\(415\) −21.3237 −1.04674
\(416\) −20.2098 + 3.94985i −0.990868 + 0.193657i
\(417\) 33.2539 1.62845
\(418\) −15.1023 0.603475i −0.738675 0.0295169i
\(419\) 12.7338 5.27449i 0.622084 0.257676i −0.0493012 0.998784i \(-0.515699\pi\)
0.671386 + 0.741108i \(0.265699\pi\)
\(420\) −15.4175 + 13.1322i −0.752299 + 0.640787i
\(421\) 6.37645 15.3941i 0.310769 0.750264i −0.688908 0.724849i \(-0.741909\pi\)
0.999677 0.0254144i \(-0.00809053\pi\)
\(422\) −27.8149 + 10.2403i −1.35401 + 0.498492i
\(423\) 6.83036 + 6.83036i 0.332104 + 0.332104i
\(424\) −7.90062 + 14.0415i −0.383688 + 0.681914i
\(425\) −4.23830 + 4.23830i −0.205588 + 0.205588i
\(426\) 16.8128 36.4057i 0.814581 1.76386i
\(427\) −4.76993 1.97577i −0.230833 0.0956143i
\(428\) −27.9900 14.3088i −1.35295 0.691641i
\(429\) 9.16082 + 22.1162i 0.442288 + 1.06778i
\(430\) −7.81147 8.46173i −0.376702 0.408061i
\(431\) 17.0589i 0.821698i 0.911703 + 0.410849i \(0.134768\pi\)
−0.911703 + 0.410849i \(0.865232\pi\)
\(432\) −28.4073 + 46.0797i −1.36675 + 2.21701i
\(433\) 15.3127i 0.735883i 0.929849 + 0.367941i \(0.119937\pi\)
−0.929849 + 0.367941i \(0.880063\pi\)
\(434\) 1.89016 1.74491i 0.0907308 0.0837583i
\(435\) 6.79260 + 16.3988i 0.325680 + 0.786262i
\(436\) −8.58729 26.5496i −0.411257 1.27150i
\(437\) 32.4502 + 13.4413i 1.55230 + 0.642985i
\(438\) −2.53282 1.16970i −0.121023 0.0558905i
\(439\) 7.80636 7.80636i 0.372577 0.372577i −0.495838 0.868415i \(-0.665139\pi\)
0.868415 + 0.495838i \(0.165139\pi\)
\(440\) −11.3682 14.4800i −0.541956 0.690309i
\(441\) 5.11306 + 5.11306i 0.243479 + 0.243479i
\(442\) 2.12262 + 5.76547i 0.100963 + 0.274235i
\(443\) −11.7832 + 28.4471i −0.559836 + 1.35156i 0.350060 + 0.936727i \(0.386161\pi\)
−0.909896 + 0.414837i \(0.863839\pi\)
\(444\) 4.64971 58.0877i 0.220665 2.75672i
\(445\) 36.7449 15.2202i 1.74187 0.721508i
\(446\) 0.0796935 1.99437i 0.00377360 0.0944362i
\(447\) −37.3493 −1.76656
\(448\) −4.15261 6.83782i −0.196192 0.323057i
\(449\) 21.6243 1.02051 0.510257 0.860022i \(-0.329550\pi\)
0.510257 + 0.860022i \(0.329550\pi\)
\(450\) 2.05067 51.3189i 0.0966693 2.41920i
\(451\) 18.4563 7.64485i 0.869073 0.359982i
\(452\) 0.723011 9.03241i 0.0340076 0.424849i
\(453\) 9.38884 22.6667i 0.441126 1.06497i
\(454\) −3.00761 8.16928i −0.141154 0.383403i
\(455\) −8.14889 8.14889i −0.382026 0.382026i
\(456\) 36.9911 29.0414i 1.73227 1.35999i
\(457\) −28.1055 + 28.1055i −1.31472 + 1.31472i −0.396826 + 0.917894i \(0.629889\pi\)
−0.917894 + 0.396826i \(0.870111\pi\)
\(458\) −20.6548 9.53872i −0.965135 0.445715i
\(459\) 14.9213 + 6.18061i 0.696467 + 0.288486i
\(460\) 13.1658 + 40.7051i 0.613857 + 1.89788i
\(461\) 13.8356 + 33.4021i 0.644388 + 1.55569i 0.820703 + 0.571355i \(0.193582\pi\)
−0.176315 + 0.984334i \(0.556418\pi\)
\(462\) −6.83340 + 6.30827i −0.317919 + 0.293487i
\(463\) 29.2753i 1.36054i 0.732963 + 0.680268i \(0.238137\pi\)
−0.732963 + 0.680268i \(0.761863\pi\)
\(464\) −6.82214 + 1.61858i −0.316710 + 0.0751407i
\(465\) 18.4193i 0.854177i
\(466\) −20.8698 22.6071i −0.966776 1.04725i
\(467\) −6.74320 16.2795i −0.312038 0.753326i −0.999629 0.0272282i \(-0.991332\pi\)
0.687591 0.726098i \(-0.258668\pi\)
\(468\) −46.8747 23.9628i −2.16678 1.10768i
\(469\) −9.61034 3.98073i −0.443764 0.183813i
\(470\) 2.50758 5.42981i 0.115666 0.250458i
\(471\) −12.2283 + 12.2283i −0.563450 + 0.563450i
\(472\) −20.2091 11.3709i −0.930197 0.523387i
\(473\) −3.73936 3.73936i −0.171936 0.171936i
\(474\) −20.3484 + 7.49149i −0.934634 + 0.344096i
\(475\) −9.99118 + 24.1208i −0.458427 + 1.10674i
\(476\) −1.81704 + 1.54770i −0.0832839 + 0.0709389i
\(477\) −38.0544 + 15.7626i −1.74239 + 0.721721i
\(478\) 19.5993 + 0.783172i 0.896450 + 0.0358215i
\(479\) −8.12573 −0.371274 −0.185637 0.982618i \(-0.559435\pi\)
−0.185637 + 0.982618i \(0.559435\pi\)
\(480\) 56.1439 + 11.3628i 2.56261 + 0.518639i
\(481\) 33.1597 1.51195
\(482\) 16.4450 + 0.657131i 0.749050 + 0.0299315i
\(483\) 19.9669 8.27057i 0.908527 0.376324i
\(484\) 8.78383 + 10.3124i 0.399265 + 0.468746i
\(485\) 6.17493 14.9076i 0.280389 0.676920i
\(486\) −37.7844 + 13.9107i −1.71393 + 0.631003i
\(487\) 5.14823 + 5.14823i 0.233289 + 0.233289i 0.814064 0.580775i \(-0.197250\pi\)
−0.580775 + 0.814064i \(0.697250\pi\)
\(488\) 3.93567 + 14.0626i 0.178159 + 0.636586i
\(489\) 9.52199 9.52199i 0.430599 0.430599i
\(490\) 1.87712 4.06464i 0.0847995 0.183622i
\(491\) −26.5496 10.9972i −1.19817 0.496297i −0.307760 0.951464i \(-0.599579\pi\)
−0.890406 + 0.455167i \(0.849579\pi\)
\(492\) −28.2939 + 55.3469i −1.27559 + 2.49523i
\(493\) 0.800545 + 1.93269i 0.0360547 + 0.0870438i
\(494\) 18.1524 + 19.6635i 0.816716 + 0.884704i
\(495\) 47.0643i 2.11538i
\(496\) −7.18330 1.15741i −0.322540 0.0519692i
\(497\) 8.86494i 0.397647i
\(498\) 22.3875 20.6671i 1.00321 0.926113i
\(499\) −5.41266 13.0673i −0.242304 0.584973i 0.755207 0.655486i \(-0.227536\pi\)
−0.997511 + 0.0705132i \(0.977536\pi\)
\(500\) −0.135050 + 0.0436810i −0.00603962 + 0.00195347i
\(501\) −6.53475 2.70678i −0.291951 0.120930i
\(502\) 32.8111 + 15.1527i 1.46443 + 0.676298i
\(503\) −23.4449 + 23.4449i −1.04535 + 1.04535i −0.0464328 + 0.998921i \(0.514785\pi\)
−0.998921 + 0.0464328i \(0.985215\pi\)
\(504\) 2.44461 20.3056i 0.108891 0.904484i
\(505\) −8.05530 8.05530i −0.358456 0.358456i
\(506\) 6.78731 + 18.4357i 0.301733 + 0.819568i
\(507\) 0.307456 0.742265i 0.0136546 0.0329652i
\(508\) 2.22729 + 0.178286i 0.0988198 + 0.00791016i
\(509\) 38.9017 16.1136i 1.72429 0.714222i 0.724599 0.689170i \(-0.242025\pi\)
0.999686 0.0250523i \(-0.00797521\pi\)
\(510\) 0.682377 17.0768i 0.0302162 0.756174i
\(511\) 0.616753 0.0272836
\(512\) −7.95924 + 21.1814i −0.351752 + 0.936093i
\(513\) 70.3496 3.10601
\(514\) −0.161020 + 4.02959i −0.00710227 + 0.177738i
\(515\) −38.7371 + 16.0454i −1.70696 + 0.707046i
\(516\) 16.4023 + 1.31294i 0.722070 + 0.0577991i
\(517\) 1.05102 2.53739i 0.0462238 0.111594i
\(518\) 4.45076 + 12.0892i 0.195555 + 0.531168i
\(519\) 16.2774 + 16.2774i 0.714497 + 0.714497i
\(520\) −3.89607 + 32.3619i −0.170854 + 1.41916i
\(521\) −17.8120 + 17.8120i −0.780359 + 0.780359i −0.979891 0.199532i \(-0.936058\pi\)
0.199532 + 0.979891i \(0.436058\pi\)
\(522\) −16.2736 7.51542i −0.712276 0.328941i
\(523\) −4.78851 1.98347i −0.209387 0.0867309i 0.275525 0.961294i \(-0.411148\pi\)
−0.484912 + 0.874563i \(0.661148\pi\)
\(524\) 29.4993 9.54136i 1.28868 0.416816i
\(525\) 6.14767 + 14.8418i 0.268306 + 0.647749i
\(526\) 14.0541 12.9741i 0.612789 0.565698i
\(527\) 2.17082i 0.0945624i
\(528\) 25.9694 + 4.18432i 1.13017 + 0.182099i
\(529\) 22.6536i 0.984940i
\(530\) 17.2991 + 18.7391i 0.751423 + 0.813975i
\(531\) −22.6862 54.7694i −0.984498 2.37679i
\(532\) −4.73236 + 9.25719i −0.205174 + 0.401350i
\(533\) −32.6786 13.5359i −1.41547 0.586305i
\(534\) −23.8264 + 51.5928i −1.03107 + 2.23264i
\(535\) −35.1852 + 35.1852i −1.52119 + 1.52119i
\(536\) 7.92948 + 28.3330i 0.342501 + 1.22380i
\(537\) −42.6456 42.6456i −1.84029 1.84029i
\(538\) −7.89306 + 2.90591i −0.340294 + 0.125283i
\(539\) 0.786772 1.89943i 0.0338887 0.0818144i
\(540\) 55.5620 + 65.2310i 2.39101 + 2.80710i
\(541\) 13.3988 5.54995i 0.576058 0.238611i −0.0755816 0.997140i \(-0.524081\pi\)
0.651640 + 0.758528i \(0.274081\pi\)
\(542\) −19.2215 0.768075i −0.825632 0.0329916i
\(543\) 54.0597 2.31992
\(544\) 6.61686 + 1.33917i 0.283696 + 0.0574164i
\(545\) −44.1693 −1.89200
\(546\) 16.4533 + 0.657463i 0.704138 + 0.0281368i
\(547\) 24.4429 10.1246i 1.04510 0.432895i 0.206961 0.978349i \(-0.433643\pi\)
0.838141 + 0.545454i \(0.183643\pi\)
\(548\) 29.2148 24.8843i 1.24799 1.06301i
\(549\) −14.2867 + 34.4912i −0.609743 + 1.47205i
\(550\) −13.7036 + 5.04513i −0.584324 + 0.215125i
\(551\) 6.44320 + 6.44320i 0.274489 + 0.274489i
\(552\) −53.2740 29.9753i −2.26749 1.27583i
\(553\) 3.38957 3.38957i 0.144139 0.144139i
\(554\) −11.0859 + 24.0049i −0.470993 + 1.01987i
\(555\) −85.2203 35.2994i −3.61740 1.49838i
\(556\) 18.5139 + 9.46450i 0.785165 + 0.401384i
\(557\) −2.31825 5.59675i −0.0982275 0.237142i 0.867125 0.498090i \(-0.165965\pi\)
−0.965353 + 0.260948i \(0.915965\pi\)
\(558\) −12.6174 13.6677i −0.534136 0.578600i
\(559\) 9.36333i 0.396027i
\(560\) −12.3212 + 2.92327i −0.520668 + 0.123531i
\(561\) 7.84804i 0.331345i
\(562\) −1.02041 + 0.941992i −0.0430433 + 0.0397356i
\(563\) 7.10218 + 17.1462i 0.299321 + 0.722625i 0.999959 + 0.00910755i \(0.00289906\pi\)
−0.700637 + 0.713517i \(0.747101\pi\)
\(564\) 2.62992 + 8.13103i 0.110740 + 0.342378i
\(565\) −13.2514 5.48891i −0.557491 0.230920i
\(566\) −27.0191 12.4779i −1.13570 0.524484i
\(567\) 15.2692 15.2692i 0.641247 0.641247i
\(568\) 19.7220 15.4836i 0.827516 0.649676i
\(569\) −30.1597 30.1597i −1.26436 1.26436i −0.948959 0.315401i \(-0.897861\pi\)
−0.315401 0.948959i \(-0.602139\pi\)
\(570\) −25.7193 69.8590i −1.07726 2.92607i
\(571\) 10.2648 24.7815i 0.429570 1.03707i −0.549854 0.835261i \(-0.685316\pi\)
0.979424 0.201814i \(-0.0646835\pi\)
\(572\) −1.19432 + 14.9204i −0.0499370 + 0.623852i
\(573\) −3.00713 + 1.24559i −0.125625 + 0.0520355i
\(574\) 0.548664 13.7306i 0.0229008 0.573103i
\(575\) 33.9352 1.41520
\(576\) −49.4440 + 30.0274i −2.06017 + 1.25114i
\(577\) 18.4431 0.767796 0.383898 0.923376i \(-0.374581\pi\)
0.383898 + 0.923376i \(0.374581\pi\)
\(578\) −0.879498 + 22.0099i −0.0365823 + 0.915490i
\(579\) −22.0505 + 9.13361i −0.916387 + 0.379580i
\(580\) −0.885570 + 11.0632i −0.0367713 + 0.459375i
\(581\) −2.57761 + 6.22290i −0.106937 + 0.258169i
\(582\) 7.96554 + 21.6360i 0.330182 + 0.896843i
\(583\) 8.28108 + 8.28108i 0.342967 + 0.342967i
\(584\) −1.07723 1.37210i −0.0445759 0.0567780i
\(585\) −58.9243 + 58.9243i −2.43622 + 2.43622i
\(586\) 32.3099 + 14.9212i 1.33471 + 0.616390i
\(587\) 3.96843 + 1.64378i 0.163795 + 0.0678460i 0.463074 0.886319i \(-0.346746\pi\)
−0.299280 + 0.954165i \(0.596746\pi\)
\(588\) 1.96870 + 6.08671i 0.0811880 + 0.251012i
\(589\) 3.61854 + 8.73593i 0.149099 + 0.359958i
\(590\) −26.9701 + 24.8975i −1.11034 + 1.02501i
\(591\) 2.44822i 0.100706i
\(592\) 19.1213 31.0167i 0.785879 1.27478i
\(593\) 9.51410i 0.390697i −0.980734 0.195349i \(-0.937416\pi\)
0.980734 0.195349i \(-0.0625838\pi\)
\(594\) 26.6901 + 28.9119i 1.09511 + 1.18627i
\(595\) 1.44584 + 3.49056i 0.0592736 + 0.143099i
\(596\) −20.7940 10.6301i −0.851757 0.435426i
\(597\) −18.6058 7.70676i −0.761483 0.315417i
\(598\) 14.5838 31.5791i 0.596375 1.29137i
\(599\) −3.24666 + 3.24666i −0.132655 + 0.132655i −0.770317 0.637662i \(-0.779902\pi\)
0.637662 + 0.770317i \(0.279902\pi\)
\(600\) 22.2812 39.5996i 0.909627 1.61665i
\(601\) −0.490989 0.490989i −0.0200279 0.0200279i 0.697022 0.717050i \(-0.254508\pi\)
−0.717050 + 0.697022i \(0.754508\pi\)
\(602\) −3.41363 + 1.25676i −0.139129 + 0.0512219i
\(603\) −28.7845 + 69.4920i −1.17220 + 2.82993i
\(604\) 11.6784 9.94736i 0.475188 0.404752i
\(605\) 19.8103 8.20570i 0.805404 0.333609i
\(606\) 16.2644 + 0.649912i 0.660695 + 0.0264009i
\(607\) −44.6088 −1.81061 −0.905307 0.424758i \(-0.860359\pi\)
−0.905307 + 0.424758i \(0.860359\pi\)
\(608\) 28.8602 5.64049i 1.17044 0.228752i
\(609\) 5.60674 0.227196
\(610\) 23.0968 + 0.922931i 0.935162 + 0.0373684i
\(611\) −4.49268 + 1.86093i −0.181754 + 0.0752851i
\(612\) 11.1914 + 13.1389i 0.452385 + 0.531111i
\(613\) −8.54332 + 20.6254i −0.345061 + 0.833052i 0.652127 + 0.758110i \(0.273877\pi\)
−0.997188 + 0.0749416i \(0.976123\pi\)
\(614\) 26.1917 9.64275i 1.05701 0.389150i
\(615\) 69.5744 + 69.5744i 2.80551 + 2.80551i
\(616\) −5.59989 + 1.56722i −0.225626 + 0.0631451i
\(617\) −14.4545 + 14.4545i −0.581917 + 0.581917i −0.935430 0.353513i \(-0.884987\pi\)
0.353513 + 0.935430i \(0.384987\pi\)
\(618\) 25.1182 54.3900i 1.01040 2.18789i
\(619\) 17.8843 + 7.40793i 0.718832 + 0.297750i 0.711954 0.702227i \(-0.247811\pi\)
0.00687810 + 0.999976i \(0.497811\pi\)
\(620\) −5.24239 + 10.2549i −0.210540 + 0.411846i
\(621\) −34.9925 84.4793i −1.40420 3.39004i
\(622\) 25.1567 + 27.2508i 1.00869 + 1.09266i
\(623\) 12.5631i 0.503328i
\(624\) −27.2748 37.7524i −1.09187 1.51130i
\(625\) 24.8874i 0.995496i
\(626\) −31.2211 + 28.8218i −1.24785 + 1.15195i
\(627\) −13.0819 31.5825i −0.522441 1.26128i
\(628\) −10.2884 + 3.32770i −0.410551 + 0.132790i
\(629\) −10.0437 4.16023i −0.400467 0.165879i
\(630\) −29.3912 13.5734i −1.17097 0.540776i
\(631\) −16.9371 + 16.9371i −0.674257 + 0.674257i −0.958695 0.284438i \(-0.908193\pi\)
0.284438 + 0.958695i \(0.408193\pi\)
\(632\) −13.4611 1.62059i −0.535453 0.0644635i
\(633\) −47.4031 47.4031i −1.88410 1.88410i
\(634\) −7.26705 19.7388i −0.288611 0.783928i
\(635\) 1.35350 3.26764i 0.0537121 0.129672i
\(636\) −36.3241 2.90761i −1.44034 0.115294i
\(637\) −3.36312 + 1.39305i −0.133252 + 0.0551947i
\(638\) −0.203492 + 5.09248i −0.00805632 + 0.201613i
\(639\) 64.1021 2.53584
\(640\) 28.0238 + 22.3055i 1.10774 + 0.881702i
\(641\) −19.5093 −0.770570 −0.385285 0.922798i \(-0.625897\pi\)
−0.385285 + 0.922798i \(0.625897\pi\)
\(642\) 2.83879 71.0420i 0.112038 2.80381i
\(643\) −32.2084 + 13.3412i −1.27018 + 0.526124i −0.913018 0.407920i \(-0.866254\pi\)
−0.357158 + 0.934044i \(0.616254\pi\)
\(644\) 13.4704 + 1.07826i 0.530808 + 0.0424893i
\(645\) 9.96752 24.0637i 0.392471 0.947508i
\(646\) −3.03116 8.23326i −0.119259 0.323933i
\(647\) 2.60134 + 2.60134i 0.102269 + 0.102269i 0.756390 0.654121i \(-0.226961\pi\)
−0.654121 + 0.756390i \(0.726961\pi\)
\(648\) −60.6390 7.30037i −2.38212 0.286785i
\(649\) −11.9185 + 11.9185i −0.467841 + 0.467841i
\(650\) 23.4734 + 10.8404i 0.920701 + 0.425195i
\(651\) 5.37531 + 2.22652i 0.210675 + 0.0872644i
\(652\) 8.01141 2.59123i 0.313751 0.101481i
\(653\) 15.3075 + 36.9555i 0.599028 + 1.44618i 0.874574 + 0.484893i \(0.161141\pi\)
−0.275546 + 0.961288i \(0.588859\pi\)
\(654\) 46.3727 42.8090i 1.81331 1.67397i
\(655\) 49.0766i 1.91758i
\(656\) −31.5049 + 22.7613i −1.23006 + 0.888679i
\(657\) 4.45972i 0.173990i
\(658\) −1.28146 1.38814i −0.0499566 0.0541152i
\(659\) 5.71860 + 13.8059i 0.222765 + 0.537802i 0.995263 0.0972143i \(-0.0309932\pi\)
−0.772498 + 0.635017i \(0.780993\pi\)
\(660\) 18.9525 37.0739i 0.737726 1.44310i
\(661\) 33.7756 + 13.9903i 1.31372 + 0.544160i 0.925967 0.377603i \(-0.123252\pi\)
0.387752 + 0.921764i \(0.373252\pi\)
\(662\) −7.28390 + 15.7723i −0.283097 + 0.613007i
\(663\) −9.82573 + 9.82573i −0.381600 + 0.381600i
\(664\) 18.3462 5.13450i 0.711973 0.199257i
\(665\) 11.6369 + 11.6369i 0.451258 + 0.451258i
\(666\) 87.4163 32.1833i 3.38731 1.24708i
\(667\) 4.53241 10.9422i 0.175496 0.423684i
\(668\) −2.86780 3.36687i −0.110959 0.130268i
\(669\) 4.17072 1.72757i 0.161249 0.0667916i
\(670\) 46.5348 + 1.85950i 1.79780 + 0.0718386i
\(671\) 10.6147 0.409774
\(672\) 10.1027 15.0109i 0.389718 0.579058i
\(673\) 11.9429 0.460366 0.230183 0.973147i \(-0.426067\pi\)
0.230183 + 0.973147i \(0.426067\pi\)
\(674\) 19.3061 + 0.771459i 0.743645 + 0.0297155i
\(675\) 62.7951 26.0106i 2.41698 1.00115i
\(676\) 0.382434 0.325746i 0.0147090 0.0125287i
\(677\) −3.20627 + 7.74061i −0.123227 + 0.297496i −0.973440 0.228943i \(-0.926473\pi\)
0.850213 + 0.526439i \(0.176473\pi\)
\(678\) 19.2323 7.08059i 0.738613 0.271928i
\(679\) −3.60405 3.60405i −0.138311 0.138311i
\(680\) 5.24021 9.31323i 0.200953 0.357146i
\(681\) 13.9224 13.9224i 0.533507 0.533507i
\(682\) −2.21740 + 4.80147i −0.0849086 + 0.183858i
\(683\) 1.82826 + 0.757291i 0.0699565 + 0.0289769i 0.417387 0.908729i \(-0.362946\pi\)
−0.347431 + 0.937706i \(0.612946\pi\)
\(684\) 66.9384 + 34.2195i 2.55945 + 1.30842i
\(685\) −23.2465 56.1220i −0.888203 2.14431i
\(686\) −0.959275 1.03913i −0.0366253 0.0396742i
\(687\) 51.4569i 1.96320i
\(688\) 8.75821 + 5.39929i 0.333904 + 0.205846i
\(689\) 20.7358i 0.789970i
\(690\) −71.0971 + 65.6335i −2.70662 + 2.49862i
\(691\) −0.334627 0.807862i −0.0127298 0.0307325i 0.917387 0.397997i \(-0.130294\pi\)
−0.930117 + 0.367264i \(0.880294\pi\)
\(692\) 4.42958 + 13.6951i 0.168388 + 0.520609i
\(693\) −13.7347 5.68912i −0.521740 0.216112i
\(694\) −7.18349 3.31746i −0.272682 0.125929i
\(695\) 23.2731 23.2731i 0.882800 0.882800i
\(696\) −9.79277 12.4734i −0.371194 0.472803i
\(697\) 8.19973 + 8.19973i 0.310587 + 0.310587i
\(698\) 6.56813 + 17.8404i 0.248607 + 0.675269i
\(699\) 26.6301 64.2908i 1.00724 2.43170i
\(700\) −0.801488 + 10.0128i −0.0302934 + 0.378449i
\(701\) 5.16656 2.14006i 0.195138 0.0808289i −0.282974 0.959128i \(-0.591321\pi\)
0.478113 + 0.878299i \(0.341321\pi\)
\(702\) 2.78170 69.6135i 0.104989 2.62739i
\(703\) −47.3530 −1.78595
\(704\) 13.2674 + 9.72084i 0.500035 + 0.366368i
\(705\) 13.5272 0.509463
\(706\) 0.0516894 1.29355i 0.00194536 0.0486835i
\(707\) −3.32450 + 1.37705i −0.125031 + 0.0517893i
\(708\) 4.18474 52.2790i 0.157272 1.96477i
\(709\) −14.3082 + 34.5431i −0.537356 + 1.29729i 0.389206 + 0.921151i \(0.372749\pi\)
−0.926562 + 0.376142i \(0.877251\pi\)
\(710\) −13.7124 37.2456i −0.514617 1.39780i
\(711\) −24.5098 24.5098i −0.919191 0.919191i
\(712\) −27.9492 + 21.9427i −1.04744 + 0.822338i
\(713\) 8.69065 8.69065i 0.325467 0.325467i
\(714\) −4.90103 2.26338i −0.183417 0.0847048i
\(715\) 21.8896 + 9.06697i 0.818625 + 0.339085i
\(716\) −11.6052 35.8802i −0.433707 1.34091i
\(717\) 16.9773 + 40.9869i 0.634030 + 1.53068i
\(718\) 12.9108 11.9186i 0.481826 0.444799i
\(719\) 27.4373i 1.02324i −0.859212 0.511620i \(-0.829046\pi\)
0.859212 0.511620i \(-0.170954\pi\)
\(720\) 21.1380 + 89.0945i 0.787768 + 3.32036i
\(721\) 13.2442i 0.493239i
\(722\) −7.69596 8.33661i −0.286414 0.310257i
\(723\) 14.2450 + 34.3906i 0.529779 + 1.27900i
\(724\) 30.0975 + 15.3861i 1.11856 + 0.571821i
\(725\) 8.13355 + 3.36903i 0.302072 + 0.125123i
\(726\) −12.8456 + 27.8153i −0.476744 + 1.03232i
\(727\) −29.9948 + 29.9948i −1.11245 + 1.11245i −0.119628 + 0.992819i \(0.538170\pi\)
−0.992819 + 0.119628i \(0.961830\pi\)
\(728\) 8.97319 + 5.04888i 0.332569 + 0.187124i
\(729\) −18.5859 18.5859i −0.688366 0.688366i
\(730\) −2.59126 + 0.954000i −0.0959068 + 0.0353091i
\(731\) 1.17473 2.83604i 0.0434488 0.104895i
\(732\) −25.1435 + 21.4165i −0.929331 + 0.791578i
\(733\) −44.3580 + 18.3737i −1.63840 + 0.678647i −0.996135 0.0878362i \(-0.972005\pi\)
−0.642264 + 0.766483i \(0.722005\pi\)
\(734\) −12.3177 0.492206i −0.454655 0.0181677i
\(735\) 10.1262 0.373509
\(736\) −21.1287 31.8511i −0.778814 1.17405i
\(737\) 21.3861 0.787768
\(738\) −99.2853 3.96737i −3.65474 0.146041i
\(739\) −9.24889 + 3.83102i −0.340226 + 0.140926i −0.546253 0.837620i \(-0.683946\pi\)
0.206027 + 0.978546i \(0.433946\pi\)
\(740\) −37.3993 43.9076i −1.37483 1.61408i
\(741\) −23.1627 + 55.9197i −0.850904 + 2.05426i
\(742\) 7.55973 2.78320i 0.277526 0.102174i
\(743\) −25.5282 25.5282i −0.936539 0.936539i 0.0615643 0.998103i \(-0.480391\pi\)
−0.998103 + 0.0615643i \(0.980391\pi\)
\(744\) −4.43516 15.8474i −0.162601 0.580994i
\(745\) −26.1394 + 26.1394i −0.957673 + 0.957673i
\(746\) 17.1676 37.1742i 0.628552 1.36104i
\(747\) 44.9975 + 18.6386i 1.64637 + 0.681950i
\(748\) 2.23366 4.36936i 0.0816707 0.159760i
\(749\) 6.01490 + 14.5212i 0.219780 + 0.530595i
\(750\) −0.217757 0.235884i −0.00795136 0.00861327i
\(751\) 31.1220i 1.13566i 0.823147 + 0.567828i \(0.192216\pi\)
−0.823147 + 0.567828i \(0.807784\pi\)
\(752\) −0.850002 + 5.27542i −0.0309964 + 0.192375i
\(753\) 81.7416i 2.97883i
\(754\) 6.63054 6.12100i 0.241470 0.222914i
\(755\) −9.29265 22.4345i −0.338194 0.816473i
\(756\) 25.7526 8.32951i 0.936615 0.302942i
\(757\) 29.5271 + 12.2305i 1.07318 + 0.444526i 0.848112 0.529817i \(-0.177740\pi\)
0.225068 + 0.974343i \(0.427740\pi\)
\(758\) 18.7749 + 8.67057i 0.681935 + 0.314929i
\(759\) −31.4188 + 31.4188i −1.14043 + 1.14043i
\(760\) 5.56370 46.2137i 0.201817 1.67635i
\(761\) −9.91036 9.91036i −0.359250 0.359250i 0.504286 0.863537i \(-0.331756\pi\)
−0.863537 + 0.504286i \(0.831756\pi\)
\(762\) 1.74599 + 4.74247i 0.0632506 + 0.171802i
\(763\) −5.33917 + 12.8899i −0.193291 + 0.466646i
\(764\) −2.02872 0.162391i −0.0733965 0.00587512i
\(765\) 25.2401 10.4548i 0.912559 0.377994i
\(766\) −1.21373 + 30.3742i −0.0438539 + 1.09747i
\(767\) 29.8438 1.07760
\(768\) −51.0404 + 3.74259i −1.84176 + 0.135049i
\(769\) 51.0896 1.84234 0.921170 0.389162i \(-0.127235\pi\)
0.921170 + 0.389162i \(0.127235\pi\)
\(770\) −0.367520 + 9.19737i −0.0132445 + 0.331450i
\(771\) −8.42687 + 3.49052i −0.303486 + 0.125708i
\(772\) −14.8760 1.19077i −0.535401 0.0428568i
\(773\) 11.3351 27.3654i 0.407695 0.984263i −0.578047 0.816003i \(-0.696185\pi\)
0.985743 0.168260i \(-0.0538148\pi\)
\(774\) 9.08761 + 24.6838i 0.32664