Properties

Label 588.2.x.a.55.20
Level $588$
Weight $2$
Character 588.55
Analytic conductor $4.695$
Analytic rank $0$
Dimension $168$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 588 = 2^{2} \cdot 3 \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 588.x (of order \(14\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.69520363885\)
Analytic rank: \(0\)
Dimension: \(168\)
Relative dimension: \(28\) over \(\Q(\zeta_{14})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{14}]$

Embedding invariants

Embedding label 55.20
Character \(\chi\) \(=\) 588.55
Dual form 588.2.x.a.139.20

$q$-expansion

\(f(q)\) \(=\) \(q+(0.745941 - 1.20149i) q^{2} +(-0.900969 - 0.433884i) q^{3} +(-0.887143 - 1.79248i) q^{4} +(0.0475607 - 0.0987608i) q^{5} +(-1.19338 + 0.758851i) q^{6} +(-1.69059 + 2.03517i) q^{7} +(-2.81540 - 0.271193i) q^{8} +(0.623490 + 0.781831i) q^{9} +O(q^{10})\) \(q+(0.745941 - 1.20149i) q^{2} +(-0.900969 - 0.433884i) q^{3} +(-0.887143 - 1.79248i) q^{4} +(0.0475607 - 0.0987608i) q^{5} +(-1.19338 + 0.758851i) q^{6} +(-1.69059 + 2.03517i) q^{7} +(-2.81540 - 0.271193i) q^{8} +(0.623490 + 0.781831i) q^{9} +(-0.0831823 - 0.130813i) q^{10} +(-0.607046 - 0.484103i) q^{11} +(0.0215610 + 1.99988i) q^{12} +(-3.65889 - 2.91786i) q^{13} +(1.18415 + 3.54933i) q^{14} +(-0.0857014 + 0.0683446i) q^{15} +(-2.42596 + 3.18037i) q^{16} +(-1.57832 - 0.360242i) q^{17} +(1.40445 - 0.165915i) q^{18} -6.49070 q^{19} +(-0.219220 + 0.00236343i) q^{20} +(2.40619 - 1.10011i) q^{21} +(-1.03446 + 0.368245i) q^{22} +(-3.61344 + 0.824745i) q^{23} +(2.41892 + 1.46589i) q^{24} +(3.10996 + 3.89976i) q^{25} +(-6.23509 + 2.21955i) q^{26} +(-0.222521 - 0.974928i) q^{27} +(5.14779 + 1.22485i) q^{28} +(-1.30614 + 5.72258i) q^{29} +(0.0181869 + 0.153950i) q^{30} +4.12388 q^{31} +(2.01155 + 5.28712i) q^{32} +(0.336885 + 0.699549i) q^{33} +(-1.61016 + 1.62762i) q^{34} +(0.120590 + 0.263758i) q^{35} +(0.848291 - 1.81119i) q^{36} +(1.29408 - 5.66975i) q^{37} +(-4.84168 + 7.79849i) q^{38} +(2.03053 + 4.21644i) q^{39} +(-0.160685 + 0.265153i) q^{40} +(2.18982 - 4.54720i) q^{41} +(0.473112 - 3.71163i) q^{42} +(-1.15768 - 2.40394i) q^{43} +(-0.329208 + 1.51758i) q^{44} +(0.106868 - 0.0243919i) q^{45} +(-1.70450 + 4.95672i) q^{46} +(6.73395 - 8.44410i) q^{47} +(3.56562 - 1.81283i) q^{48} +(-1.28384 - 6.88126i) q^{49} +(7.00536 - 0.827579i) q^{50} +(1.26572 + 1.00938i) q^{51} +(-1.98425 + 9.14704i) q^{52} +(2.17573 + 9.53250i) q^{53} +(-1.33735 - 0.459883i) q^{54} +(-0.0766819 + 0.0369280i) q^{55} +(5.31159 - 5.27134i) q^{56} +(5.84792 + 2.81621i) q^{57} +(5.90130 + 5.83802i) q^{58} +(-6.47582 + 3.11859i) q^{59} +(0.198535 + 0.0929864i) q^{60} +(-15.1080 - 3.44831i) q^{61} +(3.07617 - 4.95479i) q^{62} +(-2.64522 - 0.0528441i) q^{63} +(7.85291 + 1.52703i) q^{64} +(-0.462190 + 0.222579i) q^{65} +(1.09180 + 0.117060i) q^{66} -14.3784i q^{67} +(0.754472 + 3.14869i) q^{68} +(3.61344 + 0.824745i) q^{69} +(0.406854 + 0.0518607i) q^{70} +(-10.7246 + 2.44781i) q^{71} +(-1.54334 - 2.37025i) q^{72} +(3.95395 - 3.15317i) q^{73} +(-5.84682 - 5.78413i) q^{74} +(-1.10993 - 4.86293i) q^{75} +(5.75817 + 11.6344i) q^{76} +(2.01150 - 0.417025i) q^{77} +(6.58065 + 0.705560i) q^{78} +0.854048i q^{79} +(0.198715 + 0.390850i) q^{80} +(-0.222521 + 0.974928i) q^{81} +(-3.82993 - 6.02298i) q^{82} +(-7.21987 - 9.05343i) q^{83} +(-4.10656 - 3.33709i) q^{84} +(-0.110644 + 0.138743i) q^{85} +(-3.75187 - 0.402266i) q^{86} +(3.65973 - 4.58915i) q^{87} +(1.57779 + 1.52757i) q^{88} +(-11.4673 + 9.14485i) q^{89} +(0.0504106 - 0.146595i) q^{90} +(12.1240 - 2.51356i) q^{91} +(4.68398 + 5.74535i) q^{92} +(-3.71548 - 1.78928i) q^{93} +(-5.12235 - 14.3896i) q^{94} +(-0.308702 + 0.641026i) q^{95} +(0.481652 - 5.63631i) q^{96} -3.64969i q^{97} +(-9.22542 - 3.59049i) q^{98} -0.776441i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 168 q - 28 q^{3} + 2 q^{7} + 6 q^{8} - 28 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 168 q - 28 q^{3} + 2 q^{7} + 6 q^{8} - 28 q^{9} + 20 q^{10} - 12 q^{14} + 36 q^{16} + 12 q^{19} - 25 q^{20} + 2 q^{21} - 6 q^{22} - 15 q^{24} + 32 q^{25} + 6 q^{26} - 28 q^{27} - 66 q^{28} - 8 q^{30} - 4 q^{31} + 25 q^{32} - 68 q^{34} - 12 q^{35} - 10 q^{37} + 35 q^{38} + 14 q^{39} + 16 q^{40} + 9 q^{42} + 20 q^{44} - 28 q^{46} - 8 q^{47} + 8 q^{48} - 8 q^{49} + 114 q^{50} + 20 q^{52} - 8 q^{53} - q^{56} + 12 q^{57} - 6 q^{58} + 20 q^{59} + 10 q^{60} - 14 q^{61} - 16 q^{62} - 12 q^{63} + 42 q^{64} - 8 q^{65} - 6 q^{66} - 16 q^{68} + 59 q^{70} + 28 q^{71} - 15 q^{72} + 22 q^{74} + 18 q^{75} + 7 q^{76} + 8 q^{77} + 6 q^{78} + 26 q^{80} - 28 q^{81} + 12 q^{82} + 10 q^{83} + 11 q^{84} - 24 q^{85} - 6 q^{86} - 242 q^{88} + 20 q^{90} - 16 q^{91} + 7 q^{92} - 4 q^{93} - 53 q^{94} - 10 q^{96} - 118 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/588\mathbb{Z}\right)^\times\).

\(n\) \(197\) \(295\) \(493\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{9}{14}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.745941 1.20149i 0.527460 0.849580i
\(3\) −0.900969 0.433884i −0.520175 0.250503i
\(4\) −0.887143 1.79248i −0.443571 0.896239i
\(5\) 0.0475607 0.0987608i 0.0212698 0.0441672i −0.890063 0.455837i \(-0.849340\pi\)
0.911333 + 0.411670i \(0.135054\pi\)
\(6\) −1.19338 + 0.758851i −0.487194 + 0.309799i
\(7\) −1.69059 + 2.03517i −0.638981 + 0.769222i
\(8\) −2.81540 0.271193i −0.995393 0.0958812i
\(9\) 0.623490 + 0.781831i 0.207830 + 0.260610i
\(10\) −0.0831823 0.130813i −0.0263046 0.0413668i
\(11\) −0.607046 0.484103i −0.183031 0.145963i 0.527688 0.849438i \(-0.323059\pi\)
−0.710719 + 0.703476i \(0.751630\pi\)
\(12\) 0.0215610 + 1.99988i 0.00622411 + 0.577317i
\(13\) −3.65889 2.91786i −1.01479 0.809270i −0.0330441 0.999454i \(-0.510520\pi\)
−0.981748 + 0.190184i \(0.939092\pi\)
\(14\) 1.18415 + 3.54933i 0.316479 + 0.948600i
\(15\) −0.0857014 + 0.0683446i −0.0221280 + 0.0176465i
\(16\) −2.42596 + 3.18037i −0.606489 + 0.795092i
\(17\) −1.57832 0.360242i −0.382799 0.0873715i 0.0267908 0.999641i \(-0.491471\pi\)
−0.409590 + 0.912270i \(0.634328\pi\)
\(18\) 1.40445 0.165915i 0.331031 0.0391064i
\(19\) −6.49070 −1.48907 −0.744534 0.667585i \(-0.767328\pi\)
−0.744534 + 0.667585i \(0.767328\pi\)
\(20\) −0.219220 + 0.00236343i −0.0490190 + 0.000528479i
\(21\) 2.40619 1.10011i 0.525074 0.240063i
\(22\) −1.03446 + 0.368245i −0.220548 + 0.0785102i
\(23\) −3.61344 + 0.824745i −0.753455 + 0.171971i −0.581964 0.813214i \(-0.697716\pi\)
−0.171491 + 0.985186i \(0.554858\pi\)
\(24\) 2.41892 + 1.46589i 0.493760 + 0.299224i
\(25\) 3.10996 + 3.89976i 0.621991 + 0.779953i
\(26\) −6.23509 + 2.21955i −1.22280 + 0.435289i
\(27\) −0.222521 0.974928i −0.0428242 0.187625i
\(28\) 5.14779 + 1.22485i 0.972841 + 0.231475i
\(29\) −1.30614 + 5.72258i −0.242544 + 1.06266i 0.696147 + 0.717899i \(0.254896\pi\)
−0.938692 + 0.344758i \(0.887961\pi\)
\(30\) 0.0181869 + 0.153950i 0.00332046 + 0.0281073i
\(31\) 4.12388 0.740670 0.370335 0.928898i \(-0.379243\pi\)
0.370335 + 0.928898i \(0.379243\pi\)
\(32\) 2.01155 + 5.28712i 0.355595 + 0.934640i
\(33\) 0.336885 + 0.699549i 0.0586442 + 0.121776i
\(34\) −1.61016 + 1.62762i −0.276141 + 0.279134i
\(35\) 0.120590 + 0.263758i 0.0203834 + 0.0445832i
\(36\) 0.848291 1.81119i 0.141382 0.301865i
\(37\) 1.29408 5.66975i 0.212746 0.932101i −0.749945 0.661500i \(-0.769920\pi\)
0.962691 0.270602i \(-0.0872226\pi\)
\(38\) −4.84168 + 7.79849i −0.785424 + 1.26508i
\(39\) 2.03053 + 4.21644i 0.325145 + 0.675170i
\(40\) −0.160685 + 0.265153i −0.0254066 + 0.0419243i
\(41\) 2.18982 4.54720i 0.341992 0.710153i −0.657053 0.753844i \(-0.728197\pi\)
0.999045 + 0.0436909i \(0.0139117\pi\)
\(42\) 0.473112 3.71163i 0.0730028 0.572716i
\(43\) −1.15768 2.40394i −0.176544 0.366598i 0.793854 0.608109i \(-0.208071\pi\)
−0.970398 + 0.241511i \(0.922357\pi\)
\(44\) −0.329208 + 1.51758i −0.0496299 + 0.228785i
\(45\) 0.106868 0.0243919i 0.0159309 0.00363613i
\(46\) −1.70450 + 4.95672i −0.251314 + 0.730828i
\(47\) 6.73395 8.44410i 0.982247 1.23170i 0.00947034 0.999955i \(-0.496985\pi\)
0.972777 0.231744i \(-0.0744431\pi\)
\(48\) 3.56562 1.81283i 0.514653 0.261659i
\(49\) −1.28384 6.88126i −0.183406 0.983037i
\(50\) 7.00536 0.827579i 0.990708 0.117037i
\(51\) 1.26572 + 1.00938i 0.177236 + 0.141341i
\(52\) −1.98425 + 9.14704i −0.275166 + 1.26847i
\(53\) 2.17573 + 9.53250i 0.298860 + 1.30939i 0.871828 + 0.489812i \(0.162935\pi\)
−0.572968 + 0.819577i \(0.694208\pi\)
\(54\) −1.33735 0.459883i −0.181990 0.0625822i
\(55\) −0.0766819 + 0.0369280i −0.0103398 + 0.00497938i
\(56\) 5.31159 5.27134i 0.709791 0.704412i
\(57\) 5.84792 + 2.81621i 0.774575 + 0.373016i
\(58\) 5.90130 + 5.83802i 0.774879 + 0.766570i
\(59\) −6.47582 + 3.11859i −0.843080 + 0.406006i −0.805004 0.593269i \(-0.797837\pi\)
−0.0380759 + 0.999275i \(0.512123\pi\)
\(60\) 0.198535 + 0.0929864i 0.0256308 + 0.0120045i
\(61\) −15.1080 3.44831i −1.93439 0.441511i −0.995168 0.0981882i \(-0.968695\pi\)
−0.939218 0.343323i \(-0.888448\pi\)
\(62\) 3.07617 4.95479i 0.390674 0.629258i
\(63\) −2.64522 0.0528441i −0.333267 0.00665773i
\(64\) 7.85291 + 1.52703i 0.981614 + 0.190879i
\(65\) −0.462190 + 0.222579i −0.0573276 + 0.0276075i
\(66\) 1.09180 + 0.117060i 0.134391 + 0.0144090i
\(67\) 14.3784i 1.75660i −0.478110 0.878300i \(-0.658678\pi\)
0.478110 0.878300i \(-0.341322\pi\)
\(68\) 0.754472 + 3.14869i 0.0914932 + 0.381835i
\(69\) 3.61344 + 0.824745i 0.435008 + 0.0992877i
\(70\) 0.406854 + 0.0518607i 0.0486284 + 0.00619854i
\(71\) −10.7246 + 2.44781i −1.27277 + 0.290502i −0.804962 0.593327i \(-0.797814\pi\)
−0.467811 + 0.883829i \(0.654957\pi\)
\(72\) −1.54334 2.37025i −0.181885 0.279337i
\(73\) 3.95395 3.15317i 0.462774 0.369050i −0.364171 0.931332i \(-0.618648\pi\)
0.826946 + 0.562282i \(0.190076\pi\)
\(74\) −5.84682 5.78413i −0.679679 0.672391i
\(75\) −1.10993 4.86293i −0.128164 0.561522i
\(76\) 5.75817 + 11.6344i 0.660508 + 1.33456i
\(77\) 2.01150 0.417025i 0.229231 0.0475244i
\(78\) 6.58065 + 0.705560i 0.745112 + 0.0798890i
\(79\) 0.854048i 0.0960879i 0.998845 + 0.0480440i \(0.0152988\pi\)
−0.998845 + 0.0480440i \(0.984701\pi\)
\(80\) 0.198715 + 0.390850i 0.0222171 + 0.0436983i
\(81\) −0.222521 + 0.974928i −0.0247245 + 0.108325i
\(82\) −3.82993 6.02298i −0.422945 0.665127i
\(83\) −7.21987 9.05343i −0.792484 0.993743i −0.999880 0.0154862i \(-0.995070\pi\)
0.207396 0.978257i \(-0.433501\pi\)
\(84\) −4.10656 3.33709i −0.448062 0.364107i
\(85\) −0.110644 + 0.138743i −0.0120010 + 0.0150488i
\(86\) −3.75187 0.402266i −0.404574 0.0433774i
\(87\) 3.65973 4.58915i 0.392364 0.492009i
\(88\) 1.57779 + 1.52757i 0.168193 + 0.162839i
\(89\) −11.4673 + 9.14485i −1.21553 + 0.969353i −0.999975 0.00713912i \(-0.997728\pi\)
−0.215555 + 0.976492i \(0.569156\pi\)
\(90\) 0.0504106 0.146595i 0.00531375 0.0154525i
\(91\) 12.1240 2.51356i 1.27094 0.263493i
\(92\) 4.68398 + 5.74535i 0.488339 + 0.598995i
\(93\) −3.71548 1.78928i −0.385278 0.185540i
\(94\) −5.12235 14.3896i −0.528330 1.48417i
\(95\) −0.308702 + 0.641026i −0.0316721 + 0.0657679i
\(96\) 0.481652 5.63631i 0.0491584 0.575254i
\(97\) 3.64969i 0.370569i −0.982685 0.185285i \(-0.940679\pi\)
0.982685 0.185285i \(-0.0593207\pi\)
\(98\) −9.22542 3.59049i −0.931908 0.362695i
\(99\) 0.776441i 0.0780352i
\(100\) 4.23126 9.03418i 0.423126 0.903418i
\(101\) −4.79759 + 9.96229i −0.477378 + 0.991285i 0.513696 + 0.857972i \(0.328276\pi\)
−0.991074 + 0.133313i \(0.957438\pi\)
\(102\) 2.15690 0.767807i 0.213565 0.0760243i
\(103\) −5.40810 2.60440i −0.532876 0.256620i 0.148040 0.988981i \(-0.452704\pi\)
−0.680916 + 0.732362i \(0.738418\pi\)
\(104\) 9.50991 + 9.20721i 0.932523 + 0.902841i
\(105\) 0.00579256 0.289959i 0.000565296 0.0282971i
\(106\) 13.0761 + 4.49657i 1.27007 + 0.436746i
\(107\) 9.41315 7.50674i 0.910004 0.725704i −0.0520266 0.998646i \(-0.516568\pi\)
0.962031 + 0.272942i \(0.0879966\pi\)
\(108\) −1.55013 + 1.26376i −0.149161 + 0.121606i
\(109\) 8.11846 10.1802i 0.777608 0.975089i −0.222392 0.974957i \(-0.571387\pi\)
1.00000 0.000132066i \(-4.20378e-5\pi\)
\(110\) −0.0128316 + 0.119678i −0.00122345 + 0.0114109i
\(111\) −3.62594 + 4.54679i −0.344159 + 0.431562i
\(112\) −2.37131 10.3139i −0.224068 0.974574i
\(113\) 5.58992 + 7.00954i 0.525855 + 0.659402i 0.971841 0.235638i \(-0.0757181\pi\)
−0.445985 + 0.895040i \(0.647147\pi\)
\(114\) 7.74584 4.92547i 0.725464 0.461312i
\(115\) −0.0904054 + 0.396092i −0.00843035 + 0.0369358i
\(116\) 11.4163 2.73552i 1.05998 0.253986i
\(117\) 4.67989i 0.432656i
\(118\) −1.08364 + 10.1069i −0.0997568 + 0.930416i
\(119\) 3.40144 2.60314i 0.311810 0.238629i
\(120\) 0.259818 0.169175i 0.0237180 0.0154435i
\(121\) −2.31358 10.1365i −0.210326 0.921497i
\(122\) −15.4128 + 15.5799i −1.39541 + 1.41054i
\(123\) −3.94591 + 3.14676i −0.355791 + 0.283734i
\(124\) −3.65847 7.39196i −0.328540 0.663818i
\(125\) 1.06739 0.243626i 0.0954707 0.0217906i
\(126\) −2.03667 + 3.13878i −0.181441 + 0.279625i
\(127\) 7.38907 + 1.68651i 0.655674 + 0.149653i 0.537400 0.843328i \(-0.319407\pi\)
0.118274 + 0.992981i \(0.462264\pi\)
\(128\) 7.69252 8.29609i 0.679929 0.733278i
\(129\) 2.66818i 0.234920i
\(130\) −0.0773408 + 0.721346i −0.00678324 + 0.0632662i
\(131\) 1.29999 0.626040i 0.113580 0.0546974i −0.376231 0.926526i \(-0.622780\pi\)
0.489811 + 0.871829i \(0.337066\pi\)
\(132\) 0.955061 1.22446i 0.0831274 0.106575i
\(133\) 10.9731 13.2097i 0.951486 1.14542i
\(134\) −17.2754 10.7254i −1.49237 0.926536i
\(135\) −0.106868 0.0243919i −0.00919772 0.00209932i
\(136\) 4.34591 + 1.44225i 0.372659 + 0.123672i
\(137\) 4.37674 2.10773i 0.373930 0.180075i −0.237474 0.971394i \(-0.576319\pi\)
0.611404 + 0.791319i \(0.290605\pi\)
\(138\) 3.68634 3.72630i 0.313802 0.317203i
\(139\) 4.45120 + 2.14358i 0.377546 + 0.181816i 0.613026 0.790063i \(-0.289952\pi\)
−0.235480 + 0.971879i \(0.575666\pi\)
\(140\) 0.365799 0.450145i 0.0309157 0.0380442i
\(141\) −9.73084 + 4.68612i −0.819484 + 0.394643i
\(142\) −5.05888 + 14.7114i −0.424532 + 1.23455i
\(143\) 0.808565 + 3.54256i 0.0676156 + 0.296243i
\(144\) −3.99907 + 0.0862388i −0.333256 + 0.00718657i
\(145\) 0.503045 + 0.401165i 0.0417756 + 0.0333150i
\(146\) −0.839077 7.10269i −0.0694425 0.587823i
\(147\) −1.82896 + 6.75684i −0.150850 + 0.557295i
\(148\) −11.3109 + 2.71026i −0.929754 + 0.222782i
\(149\) −2.53180 + 3.17477i −0.207413 + 0.260088i −0.874647 0.484761i \(-0.838907\pi\)
0.667234 + 0.744848i \(0.267478\pi\)
\(150\) −6.67069 2.29389i −0.544659 0.187295i
\(151\) 1.29365 0.295268i 0.105276 0.0240285i −0.169558 0.985520i \(-0.554234\pi\)
0.274834 + 0.961492i \(0.411377\pi\)
\(152\) 18.2739 + 1.76023i 1.48221 + 0.142774i
\(153\) −0.702420 1.45859i −0.0567873 0.117920i
\(154\) 0.999407 2.72786i 0.0805345 0.219817i
\(155\) 0.196134 0.407277i 0.0157539 0.0327133i
\(156\) 5.75650 7.38026i 0.460889 0.590894i
\(157\) 4.12220 + 8.55983i 0.328987 + 0.683149i 0.998203 0.0599188i \(-0.0190842\pi\)
−0.669216 + 0.743068i \(0.733370\pi\)
\(158\) 1.02613 + 0.637070i 0.0816344 + 0.0506826i
\(159\) 2.17573 9.53250i 0.172547 0.755976i
\(160\) 0.617831 + 0.0527968i 0.0488438 + 0.00417395i
\(161\) 4.43034 8.74828i 0.349160 0.689461i
\(162\) 1.00538 + 0.994595i 0.0789898 + 0.0781428i
\(163\) −0.993052 2.06209i −0.0777819 0.161516i 0.858451 0.512895i \(-0.171427\pi\)
−0.936233 + 0.351379i \(0.885713\pi\)
\(164\) −10.0934 + 0.108818i −0.788165 + 0.00849729i
\(165\) 0.0851105 0.00662584
\(166\) −16.2632 + 1.92125i −1.26227 + 0.149118i
\(167\) −1.58304 + 6.93576i −0.122499 + 0.536705i 0.876018 + 0.482278i \(0.160190\pi\)
−0.998518 + 0.0544273i \(0.982667\pi\)
\(168\) −7.07273 + 2.44470i −0.545673 + 0.188613i
\(169\) 1.98074 + 8.67821i 0.152365 + 0.667555i
\(170\) 0.0841641 + 0.236431i 0.00645509 + 0.0181335i
\(171\) −4.04688 5.07463i −0.309473 0.388067i
\(172\) −3.28199 + 4.20775i −0.250249 + 0.320838i
\(173\) −20.8094 + 4.74962i −1.58211 + 0.361107i −0.921118 0.389283i \(-0.872723\pi\)
−0.660995 + 0.750390i \(0.729866\pi\)
\(174\) −2.78387 7.82036i −0.211044 0.592860i
\(175\) −13.1943 0.263585i −0.997398 0.0199252i
\(176\) 3.01229 0.756217i 0.227060 0.0570020i
\(177\) 7.18762 0.540255
\(178\) 2.43350 + 20.5993i 0.182399 + 1.54398i
\(179\) 11.9681 + 2.73164i 0.894538 + 0.204172i 0.644991 0.764190i \(-0.276861\pi\)
0.249547 + 0.968363i \(0.419718\pi\)
\(180\) −0.138529 0.169919i −0.0103253 0.0126650i
\(181\) 10.4869 8.36302i 0.779484 0.621618i −0.150755 0.988571i \(-0.548170\pi\)
0.930239 + 0.366953i \(0.119599\pi\)
\(182\) 6.02379 16.4418i 0.446513 1.21875i
\(183\) 12.1157 + 9.66195i 0.895618 + 0.714232i
\(184\) 10.3969 1.34204i 0.766473 0.0989368i
\(185\) −0.498401 0.397462i −0.0366432 0.0292220i
\(186\) −4.92133 + 3.12941i −0.360850 + 0.229459i
\(187\) 0.783720 + 0.982754i 0.0573113 + 0.0718661i
\(188\) −21.1098 4.57933i −1.53959 0.333982i
\(189\) 2.36034 + 1.19533i 0.171689 + 0.0869475i
\(190\) 0.539911 + 0.849069i 0.0391693 + 0.0615980i
\(191\) −9.23609 + 19.1789i −0.668300 + 1.38774i 0.240559 + 0.970635i \(0.422669\pi\)
−0.908859 + 0.417105i \(0.863045\pi\)
\(192\) −6.41267 4.78306i −0.462795 0.345187i
\(193\) 3.21301 + 1.54731i 0.231278 + 0.111378i 0.545934 0.837828i \(-0.316175\pi\)
−0.314656 + 0.949206i \(0.601889\pi\)
\(194\) −4.38505 2.72245i −0.314828 0.195461i
\(195\) 0.512992 0.0367361
\(196\) −11.1956 + 8.40592i −0.799682 + 0.600423i
\(197\) −0.624215 −0.0444735 −0.0222367 0.999753i \(-0.507079\pi\)
−0.0222367 + 0.999753i \(0.507079\pi\)
\(198\) −0.932884 0.579179i −0.0662972 0.0411605i
\(199\) 7.34694 + 3.53810i 0.520811 + 0.250809i 0.675771 0.737112i \(-0.263811\pi\)
−0.154961 + 0.987921i \(0.549525\pi\)
\(200\) −7.69817 11.8228i −0.544343 0.835997i
\(201\) −6.23855 + 12.9545i −0.440033 + 0.913739i
\(202\) 8.39085 + 13.1955i 0.590378 + 0.928434i
\(203\) −9.43829 12.3327i −0.662438 0.865588i
\(204\) 0.686412 3.16423i 0.0480584 0.221540i
\(205\) −0.344936 0.432536i −0.0240914 0.0302096i
\(206\) −7.16329 + 4.55503i −0.499090 + 0.317364i
\(207\) −2.89776 2.31088i −0.201408 0.160618i
\(208\) 18.1562 4.55800i 1.25890 0.316040i
\(209\) 3.94015 + 3.14217i 0.272546 + 0.217348i
\(210\) −0.344061 0.223252i −0.0237425 0.0154059i
\(211\) −16.9535 + 13.5199i −1.16712 + 0.930751i −0.998490 0.0549280i \(-0.982507\pi\)
−0.168634 + 0.985679i \(0.553936\pi\)
\(212\) 15.1566 12.3566i 1.04096 0.848657i
\(213\) 10.7246 + 2.44781i 0.734835 + 0.167721i
\(214\) −1.99759 16.9094i −0.136552 1.15590i
\(215\) −0.292475 −0.0199466
\(216\) 0.362091 + 2.80515i 0.0246372 + 0.190867i
\(217\) −6.97177 + 8.39280i −0.473274 + 0.569740i
\(218\) −6.17552 17.3481i −0.418259 1.17496i
\(219\) −4.93049 + 1.12535i −0.333172 + 0.0760442i
\(220\) 0.134220 + 0.104690i 0.00904914 + 0.00705821i
\(221\) 4.72377 + 5.92342i 0.317755 + 0.398452i
\(222\) 2.75817 + 7.74816i 0.185116 + 0.520022i
\(223\) −0.445651 1.95252i −0.0298430 0.130751i 0.957812 0.287395i \(-0.0927894\pi\)
−0.987655 + 0.156645i \(0.949932\pi\)
\(224\) −14.1609 4.84448i −0.946165 0.323685i
\(225\) −1.10993 + 4.86293i −0.0739954 + 0.324195i
\(226\) 12.5916 1.48751i 0.837582 0.0989479i
\(227\) 8.14688 0.540727 0.270364 0.962758i \(-0.412856\pi\)
0.270364 + 0.962758i \(0.412856\pi\)
\(228\) −0.139946 12.9806i −0.00926813 0.859664i
\(229\) −8.02421 16.6624i −0.530254 1.10108i −0.978323 0.207085i \(-0.933602\pi\)
0.448068 0.893999i \(-0.352112\pi\)
\(230\) 0.408462 + 0.404082i 0.0269332 + 0.0266444i
\(231\) −1.99323 0.497028i −0.131145 0.0327021i
\(232\) 5.22923 15.7571i 0.343316 1.03451i
\(233\) 3.59725 15.7606i 0.235663 1.03251i −0.709191 0.705017i \(-0.750939\pi\)
0.944854 0.327492i \(-0.106203\pi\)
\(234\) −5.62283 3.49093i −0.367576 0.228209i
\(235\) −0.513675 1.06666i −0.0335085 0.0695810i
\(236\) 11.3350 + 8.84114i 0.737845 + 0.575509i
\(237\) 0.370558 0.769471i 0.0240703 0.0499825i
\(238\) −0.590359 6.02858i −0.0382673 0.390775i
\(239\) −1.28518 2.66870i −0.0831313 0.172624i 0.855259 0.518200i \(-0.173398\pi\)
−0.938391 + 0.345576i \(0.887683\pi\)
\(240\) −0.00945317 0.438363i −0.000610199 0.0282962i
\(241\) −7.58264 + 1.73069i −0.488441 + 0.111483i −0.459647 0.888102i \(-0.652024\pi\)
−0.0287944 + 0.999585i \(0.509167\pi\)
\(242\) −13.9046 4.78147i −0.893823 0.307364i
\(243\) 0.623490 0.781831i 0.0399969 0.0501545i
\(244\) 7.22196 + 30.1400i 0.462339 + 1.92951i
\(245\) −0.740659 0.200484i −0.0473190 0.0128084i
\(246\) 0.837372 + 7.08826i 0.0533889 + 0.451931i
\(247\) 23.7487 + 18.9390i 1.51110 + 1.20506i
\(248\) −11.6103 1.11837i −0.737258 0.0710163i
\(249\) 2.57674 + 11.2894i 0.163294 + 0.715439i
\(250\) 0.503500 1.46419i 0.0318442 0.0926036i
\(251\) 20.4080 9.82798i 1.28814 0.620337i 0.340673 0.940182i \(-0.389345\pi\)
0.947470 + 0.319845i \(0.103631\pi\)
\(252\) 2.25197 + 4.78839i 0.141861 + 0.301640i
\(253\) 2.59279 + 1.24862i 0.163007 + 0.0785001i
\(254\) 7.53813 7.61984i 0.472984 0.478111i
\(255\) 0.159885 0.0769965i 0.0100124 0.00482171i
\(256\) −4.22948 15.4309i −0.264343 0.964429i
\(257\) 9.69339 + 2.21245i 0.604657 + 0.138009i 0.513880 0.857862i \(-0.328208\pi\)
0.0907773 + 0.995871i \(0.471065\pi\)
\(258\) 3.20578 + 1.99030i 0.199583 + 0.123911i
\(259\) 9.35116 + 12.2189i 0.581053 + 0.759244i
\(260\) 0.808996 + 0.631006i 0.0501718 + 0.0391333i
\(261\) −5.28846 + 2.54679i −0.327347 + 0.157642i
\(262\) 0.217534 2.02890i 0.0134393 0.125346i
\(263\) 22.1915i 1.36838i 0.729302 + 0.684192i \(0.239845\pi\)
−0.729302 + 0.684192i \(0.760155\pi\)
\(264\) −0.758752 2.06087i −0.0466980 0.126838i
\(265\) 1.04492 + 0.238495i 0.0641887 + 0.0146506i
\(266\) −7.68599 23.0377i −0.471258 1.41253i
\(267\) 14.2995 3.26376i 0.875113 0.199739i
\(268\) −25.7729 + 12.7557i −1.57433 + 0.779177i
\(269\) 13.0458 10.4037i 0.795415 0.634322i −0.139087 0.990280i \(-0.544417\pi\)
0.934502 + 0.355958i \(0.115845\pi\)
\(270\) −0.109024 + 0.110205i −0.00663497 + 0.00670689i
\(271\) 3.58886 + 15.7238i 0.218008 + 0.955155i 0.958948 + 0.283583i \(0.0915232\pi\)
−0.740940 + 0.671571i \(0.765620\pi\)
\(272\) 4.97464 4.14572i 0.301632 0.251371i
\(273\) −12.0140 2.99577i −0.727117 0.181312i
\(274\) 0.732384 6.83083i 0.0442450 0.412666i
\(275\) 3.87287i 0.233543i
\(276\) −1.72730 7.20869i −0.103971 0.433912i
\(277\) −2.11058 + 9.24707i −0.126813 + 0.555603i 0.871105 + 0.491097i \(0.163404\pi\)
−0.997917 + 0.0645052i \(0.979453\pi\)
\(278\) 5.89582 3.74907i 0.353608 0.224854i
\(279\) 2.57120 + 3.22418i 0.153933 + 0.193026i
\(280\) −0.267979 0.775285i −0.0160148 0.0463321i
\(281\) −13.3405 + 16.7285i −0.795830 + 0.997939i 0.203990 + 0.978973i \(0.434609\pi\)
−0.999820 + 0.0189665i \(0.993962\pi\)
\(282\) −1.62832 + 15.1870i −0.0969648 + 0.904376i
\(283\) −1.47403 + 1.84838i −0.0876221 + 0.109875i −0.823710 0.567011i \(-0.808100\pi\)
0.736088 + 0.676886i \(0.236671\pi\)
\(284\) 13.9019 + 17.0520i 0.824925 + 1.01185i
\(285\) 0.556262 0.443604i 0.0329501 0.0262768i
\(286\) 4.85948 + 1.67106i 0.287347 + 0.0988117i
\(287\) 5.55226 + 12.1441i 0.327740 + 0.716842i
\(288\) −2.87946 + 4.86916i −0.169674 + 0.286918i
\(289\) −12.9551 6.23887i −0.762067 0.366992i
\(290\) 0.857237 0.305157i 0.0503387 0.0179194i
\(291\) −1.58354 + 3.28825i −0.0928287 + 0.192761i
\(292\) −9.15970 4.29005i −0.536031 0.251056i
\(293\) 0.0132877i 0.000776276i 1.00000 0.000388138i \(0.000123548\pi\)
−1.00000 0.000388138i \(0.999876\pi\)
\(294\) 6.75396 + 7.23768i 0.393899 + 0.422110i
\(295\) 0.787880i 0.0458721i
\(296\) −5.18095 + 15.6116i −0.301137 + 0.907409i
\(297\) −0.336885 + 0.699549i −0.0195481 + 0.0405919i
\(298\) 1.92588 + 5.41012i 0.111563 + 0.313400i
\(299\) 15.6277 + 7.52589i 0.903772 + 0.435234i
\(300\) −7.73202 + 6.30364i −0.446408 + 0.363941i
\(301\) 6.84959 + 1.70800i 0.394804 + 0.0984474i
\(302\) 0.610228 1.77456i 0.0351147 0.102114i
\(303\) 8.64495 6.89412i 0.496640 0.396057i
\(304\) 15.7461 20.6428i 0.903103 1.18395i
\(305\) −1.05911 + 1.32808i −0.0606442 + 0.0760455i
\(306\) −2.27644 0.244074i −0.130135 0.0139528i
\(307\) −12.4673 + 15.6335i −0.711545 + 0.892250i −0.997826 0.0658960i \(-0.979009\pi\)
0.286281 + 0.958146i \(0.407581\pi\)
\(308\) −2.53199 3.23560i −0.144274 0.184365i
\(309\) 3.74252 + 4.69297i 0.212905 + 0.266974i
\(310\) −0.343034 0.539458i −0.0194830 0.0306391i
\(311\) −2.29775 + 10.0671i −0.130293 + 0.570853i 0.867064 + 0.498197i \(0.166005\pi\)
−0.997357 + 0.0726556i \(0.976853\pi\)
\(312\) −4.57327 12.4216i −0.258911 0.703235i
\(313\) 2.12949i 0.120366i −0.998187 0.0601829i \(-0.980832\pi\)
0.998187 0.0601829i \(-0.0191684\pi\)
\(314\) 13.3595 + 1.43237i 0.753917 + 0.0808331i
\(315\) −0.131028 + 0.258731i −0.00738256 + 0.0145778i
\(316\) 1.53086 0.757663i 0.0861178 0.0426219i
\(317\) −4.26922 18.7047i −0.239783 1.05056i −0.941211 0.337819i \(-0.890311\pi\)
0.701427 0.712741i \(-0.252546\pi\)
\(318\) −9.83021 9.72480i −0.551251 0.545340i
\(319\) 3.56321 2.84156i 0.199501 0.159097i
\(320\) 0.524300 0.702933i 0.0293093 0.0392951i
\(321\) −11.7380 + 2.67912i −0.655152 + 0.149534i
\(322\) −7.20618 11.8487i −0.401584 0.660302i
\(323\) 10.2444 + 2.33822i 0.570014 + 0.130102i
\(324\) 1.94494 0.466036i 0.108052 0.0258909i
\(325\) 23.3432i 1.29485i
\(326\) −3.21834 0.345062i −0.178247 0.0191112i
\(327\) −11.7315 + 5.64960i −0.648755 + 0.312424i
\(328\) −7.39837 + 12.2083i −0.408506 + 0.674091i
\(329\) 5.80089 + 27.9802i 0.319813 + 1.54260i
\(330\) 0.0634874 0.102259i 0.00349487 0.00562918i
\(331\) 9.82766 + 2.24310i 0.540177 + 0.123292i 0.483900 0.875123i \(-0.339220\pi\)
0.0562770 + 0.998415i \(0.482077\pi\)
\(332\) −9.82302 + 20.9731i −0.539108 + 1.15105i
\(333\) 5.23964 2.52328i 0.287130 0.138275i
\(334\) 7.15237 + 7.07567i 0.391360 + 0.387164i
\(335\) −1.42002 0.683846i −0.0775840 0.0373625i
\(336\) −2.33856 + 10.3214i −0.127579 + 0.563078i
\(337\) −11.9187 + 5.73975i −0.649253 + 0.312664i −0.729368 0.684122i \(-0.760186\pi\)
0.0801145 + 0.996786i \(0.474471\pi\)
\(338\) 11.9043 + 4.09360i 0.647507 + 0.222662i
\(339\) −1.99502 8.74075i −0.108355 0.474732i
\(340\) 0.346851 + 0.0752418i 0.0188106 + 0.00408056i
\(341\) −2.50338 1.99638i −0.135566 0.108110i
\(342\) −9.11584 + 1.07690i −0.492928 + 0.0582321i
\(343\) 16.1750 + 9.02051i 0.873367 + 0.487062i
\(344\) 2.60739 + 7.08201i 0.140581 + 0.381836i
\(345\) 0.253310 0.317641i 0.0136378 0.0171012i
\(346\) −9.81602 + 28.5452i −0.527713 + 1.53460i
\(347\) −10.8720 + 2.48147i −0.583642 + 0.133212i −0.504140 0.863622i \(-0.668190\pi\)
−0.0795025 + 0.996835i \(0.525333\pi\)
\(348\) −11.4727 2.48875i −0.614999 0.133411i
\(349\) −2.40729 4.99879i −0.128859 0.267579i 0.826550 0.562863i \(-0.190300\pi\)
−0.955410 + 0.295284i \(0.904586\pi\)
\(350\) −10.1589 + 15.6562i −0.543016 + 0.836859i
\(351\) −2.03053 + 4.21644i −0.108382 + 0.225057i
\(352\) 1.33841 4.18332i 0.0713374 0.222972i
\(353\) −9.39260 19.5039i −0.499917 1.03809i −0.986394 0.164396i \(-0.947433\pi\)
0.486477 0.873693i \(-0.338282\pi\)
\(354\) 5.36154 8.63584i 0.284963 0.458989i
\(355\) −0.268320 + 1.17559i −0.0142409 + 0.0623936i
\(356\) 26.5651 + 12.4421i 1.40795 + 0.659428i
\(357\) −4.19405 + 0.869515i −0.221973 + 0.0460196i
\(358\) 12.2095 12.3419i 0.645294 0.652288i
\(359\) −3.57176 7.41684i −0.188510 0.391446i 0.785198 0.619245i \(-0.212561\pi\)
−0.973708 + 0.227799i \(0.926847\pi\)
\(360\) −0.307490 + 0.0396910i −0.0162062 + 0.00209190i
\(361\) 23.1291 1.21732
\(362\) −2.22545 18.8382i −0.116967 0.990113i
\(363\) −2.31358 + 10.1365i −0.121432 + 0.532026i
\(364\) −15.2612 19.5021i −0.799906 1.02219i
\(365\) −0.123357 0.540461i −0.00645679 0.0282890i
\(366\) 20.6463 7.34961i 1.07920 0.384170i
\(367\) −6.21310 7.79099i −0.324321 0.406686i 0.592765 0.805376i \(-0.298036\pi\)
−0.917086 + 0.398690i \(0.869465\pi\)
\(368\) 6.14306 13.4929i 0.320229 0.703365i
\(369\) 4.92047 1.12307i 0.256150 0.0584645i
\(370\) −0.849323 + 0.302340i −0.0441542 + 0.0157179i
\(371\) −23.0785 11.6875i −1.19818 0.606786i
\(372\) 0.0889148 + 8.24728i 0.00461002 + 0.427601i
\(373\) −35.2119 −1.82320 −0.911601 0.411076i \(-0.865153\pi\)
−0.911601 + 0.411076i \(0.865153\pi\)
\(374\) 1.76538 0.208553i 0.0912854 0.0107840i
\(375\) −1.06739 0.243626i −0.0551200 0.0125808i
\(376\) −21.2487 + 21.9473i −1.09582 + 1.13185i
\(377\) 21.4767 17.1271i 1.10611 0.882092i
\(378\) 3.19685 1.94427i 0.164428 0.100002i
\(379\) −30.0899 23.9959i −1.54562 1.23259i −0.867263 0.497851i \(-0.834123\pi\)
−0.678353 0.734736i \(-0.737306\pi\)
\(380\) 1.42289 0.0153403i 0.0729926 0.000786941i
\(381\) −5.92557 4.72549i −0.303576 0.242094i
\(382\) 16.1537 + 25.4034i 0.826493 + 1.29975i
\(383\) 16.1928 + 20.3051i 0.827413 + 1.03754i 0.998631 + 0.0523102i \(0.0166584\pi\)
−0.171218 + 0.985233i \(0.554770\pi\)
\(384\) −10.5303 + 4.13686i −0.537370 + 0.211108i
\(385\) 0.0544823 0.218491i 0.00277668 0.0111353i
\(386\) 4.25579 2.70620i 0.216614 0.137742i
\(387\) 1.15768 2.40394i 0.0588481 0.122199i
\(388\) −6.54198 + 3.23779i −0.332119 + 0.164374i
\(389\) 12.6410 + 6.08756i 0.640922 + 0.308652i 0.725971 0.687725i \(-0.241391\pi\)
−0.0850495 + 0.996377i \(0.527105\pi\)
\(390\) 0.382662 0.616353i 0.0193768 0.0312102i
\(391\) 6.00029 0.303448
\(392\) 1.74838 + 19.7216i 0.0883066 + 0.996093i
\(393\) −1.44287 −0.0727834
\(394\) −0.465628 + 0.749986i −0.0234580 + 0.0377838i
\(395\) 0.0843464 + 0.0406191i 0.00424393 + 0.00204377i
\(396\) −1.39175 + 0.688814i −0.0699382 + 0.0346142i
\(397\) −7.90724 + 16.4195i −0.396853 + 0.824074i 0.602804 + 0.797889i \(0.294050\pi\)
−0.999657 + 0.0261844i \(0.991664\pi\)
\(398\) 9.73136 6.18804i 0.487789 0.310178i
\(399\) −15.6179 + 7.14047i −0.781871 + 0.357471i
\(400\) −19.9473 + 0.430158i −0.997365 + 0.0215079i
\(401\) −7.32304 9.18280i −0.365695 0.458567i 0.564608 0.825359i \(-0.309027\pi\)
−0.930303 + 0.366792i \(0.880456\pi\)
\(402\) 10.9110 + 17.1588i 0.544194 + 0.855804i
\(403\) −15.0888 12.0329i −0.751627 0.599402i
\(404\) 22.1133 0.238406i 1.10018 0.0118612i
\(405\) 0.0857014 + 0.0683446i 0.00425854 + 0.00339607i
\(406\) −21.8580 + 2.14049i −1.08480 + 0.106231i
\(407\) −3.53031 + 2.81533i −0.174991 + 0.139551i
\(408\) −3.28976 3.18504i −0.162867 0.157683i
\(409\) −14.3095 3.26605i −0.707559 0.161496i −0.146426 0.989222i \(-0.546777\pi\)
−0.561133 + 0.827726i \(0.689634\pi\)
\(410\) −0.776988 + 0.0917895i −0.0383727 + 0.00453316i
\(411\) −4.85781 −0.239618
\(412\) 0.129421 + 12.0044i 0.00637609 + 0.591413i
\(413\) 4.60106 18.4517i 0.226403 0.907947i
\(414\) −4.93806 + 1.75783i −0.242692 + 0.0863928i
\(415\) −1.23751 + 0.282453i −0.0607468 + 0.0138651i
\(416\) 8.06707 25.2144i 0.395521 1.23624i
\(417\) −3.08032 3.86260i −0.150844 0.189153i
\(418\) 6.71439 2.39017i 0.328412 0.116907i
\(419\) 0.691920 + 3.03150i 0.0338025 + 0.148098i 0.989013 0.147829i \(-0.0472285\pi\)
−0.955210 + 0.295927i \(0.904371\pi\)
\(420\) −0.524884 + 0.246852i −0.0256117 + 0.0120452i
\(421\) −6.37929 + 27.9495i −0.310908 + 1.36217i 0.542117 + 0.840303i \(0.317623\pi\)
−0.853024 + 0.521872i \(0.825234\pi\)
\(422\) 3.59774 + 30.4544i 0.175135 + 1.48250i
\(423\) 10.8004 0.525134
\(424\) −3.54040 27.4278i −0.171937 1.33201i
\(425\) −3.50366 7.27542i −0.169952 0.352910i
\(426\) 10.9409 11.0595i 0.530089 0.535835i
\(427\) 32.5593 24.9178i 1.57566 1.20586i
\(428\) −21.8065 10.2133i −1.05406 0.493680i
\(429\) 0.808565 3.54256i 0.0390379 0.171036i
\(430\) −0.218169 + 0.351405i −0.0105211 + 0.0169463i
\(431\) 15.1639 + 31.4882i 0.730421 + 1.51673i 0.851651 + 0.524109i \(0.175602\pi\)
−0.121230 + 0.992624i \(0.538684\pi\)
\(432\) 3.64046 + 1.65743i 0.175151 + 0.0797433i
\(433\) 2.32120 4.82003i 0.111550 0.231636i −0.837719 0.546102i \(-0.816111\pi\)
0.949269 + 0.314466i \(0.101825\pi\)
\(434\) 4.88331 + 14.6370i 0.234406 + 0.702599i
\(435\) −0.279169 0.579701i −0.0133851 0.0277945i
\(436\) −25.4501 5.52085i −1.21884 0.264401i
\(437\) 23.4538 5.35317i 1.12195 0.256077i
\(438\) −2.32576 + 6.76337i −0.111129 + 0.323166i
\(439\) −10.3729 + 13.0072i −0.495072 + 0.620801i −0.965110 0.261846i \(-0.915669\pi\)
0.470038 + 0.882646i \(0.344240\pi\)
\(440\) 0.225904 0.0831715i 0.0107696 0.00396505i
\(441\) 4.57952 5.29415i 0.218072 0.252102i
\(442\) 10.6406 1.25702i 0.506120 0.0597905i
\(443\) −22.2038 17.7070i −1.05494 0.841283i −0.0672502 0.997736i \(-0.521423\pi\)
−0.987685 + 0.156453i \(0.949994\pi\)
\(444\) 11.3667 + 2.46577i 0.539442 + 0.117020i
\(445\) 0.357761 + 1.56745i 0.0169595 + 0.0743044i
\(446\) −2.67836 0.921025i −0.126824 0.0436118i
\(447\) 3.65855 1.76187i 0.173044 0.0833334i
\(448\) −16.3838 + 13.4004i −0.774061 + 0.633111i
\(449\) 15.1237 + 7.28321i 0.713734 + 0.343716i 0.755264 0.655421i \(-0.227509\pi\)
−0.0415298 + 0.999137i \(0.513223\pi\)
\(450\) 5.01480 + 4.96103i 0.236400 + 0.233865i
\(451\) −3.53063 + 1.70026i −0.166251 + 0.0800622i
\(452\) 7.60539 16.2383i 0.357727 0.763784i
\(453\) −1.29365 0.295268i −0.0607811 0.0138729i
\(454\) 6.07709 9.78837i 0.285212 0.459391i
\(455\) 0.328385 1.31692i 0.0153949 0.0617383i
\(456\) −15.7005 9.51465i −0.735241 0.445564i
\(457\) −0.533566 + 0.256952i −0.0249592 + 0.0120197i −0.446322 0.894873i \(-0.647266\pi\)
0.421363 + 0.906892i \(0.361552\pi\)
\(458\) −26.0053 2.78822i −1.21515 0.130285i
\(459\) 1.61891i 0.0755643i
\(460\) 0.790189 0.189340i 0.0368427 0.00882804i
\(461\) −10.9438 2.49785i −0.509703 0.116336i −0.0400680 0.999197i \(-0.512757\pi\)
−0.469635 + 0.882861i \(0.655615\pi\)
\(462\) −2.08401 + 2.02409i −0.0969569 + 0.0941693i
\(463\) −34.1004 + 7.78320i −1.58478 + 0.361716i −0.922028 0.387123i \(-0.873469\pi\)
−0.662752 + 0.748839i \(0.730612\pi\)
\(464\) −15.0313 18.0367i −0.697809 0.837335i
\(465\) −0.353422 + 0.281845i −0.0163895 + 0.0130702i
\(466\) −16.2528 16.0785i −0.752895 0.744822i
\(467\) −5.84314 25.6005i −0.270388 1.18465i −0.909556 0.415581i \(-0.863578\pi\)
0.639168 0.769067i \(-0.279279\pi\)
\(468\) −8.38860 + 4.15173i −0.387763 + 0.191914i
\(469\) 29.2625 + 24.3079i 1.35122 + 1.12243i
\(470\) −1.66475 0.178490i −0.0767890 0.00823312i
\(471\) 9.50070i 0.437769i
\(472\) 19.0777 7.02387i 0.878125 0.323300i
\(473\) −0.460992 + 2.01974i −0.0211965 + 0.0928677i
\(474\) −0.648095 1.01920i −0.0297680 0.0468134i
\(475\) −20.1858 25.3122i −0.926188 1.16140i
\(476\) −7.68363 3.78766i −0.352179 0.173607i
\(477\) −6.09626 + 7.64447i −0.279129 + 0.350016i
\(478\) −4.16508 0.446569i −0.190506 0.0204256i
\(479\) −15.5133 + 19.4531i −0.708822 + 0.888835i −0.997648 0.0685468i \(-0.978164\pi\)
0.288826 + 0.957382i \(0.406735\pi\)
\(480\) −0.533739 0.315635i −0.0243617 0.0144067i
\(481\) −21.2785 + 16.9690i −0.970215 + 0.773720i
\(482\) −3.57681 + 10.4014i −0.162919 + 0.473773i
\(483\) −7.78733 + 5.95968i −0.354336 + 0.271175i
\(484\) −16.1169 + 13.1395i −0.732587 + 0.597251i
\(485\) −0.360446 0.173581i −0.0163670 0.00788193i
\(486\) −0.474274 1.33232i −0.0215135 0.0604351i
\(487\) 14.6999 30.5246i 0.666116 1.38320i −0.244378 0.969680i \(-0.578584\pi\)
0.910494 0.413523i \(-0.135702\pi\)
\(488\) 41.5999 + 13.8055i 1.88314 + 0.624948i
\(489\) 2.28875i 0.103501i
\(490\) −0.793367 + 0.740343i −0.0358407 + 0.0334453i
\(491\) 0.619409i 0.0279535i 0.999902 + 0.0139768i \(0.00444909\pi\)
−0.999902 + 0.0139768i \(0.995551\pi\)
\(492\) 9.14109 + 4.28134i 0.412112 + 0.193017i
\(493\) 4.12303 8.56155i 0.185692 0.385593i
\(494\) 40.4701 14.4064i 1.82084 0.648175i
\(495\) −0.0766819 0.0369280i −0.00344659 0.00165979i
\(496\) −10.0043 + 13.1154i −0.449208 + 0.588901i
\(497\) 13.1491 25.9646i 0.589817 1.16467i
\(498\) 15.4862 + 5.32534i 0.693954 + 0.238634i
\(499\) 27.7477 22.1281i 1.24216 0.990589i 0.242367 0.970185i \(-0.422076\pi\)
0.999792 0.0204041i \(-0.00649528\pi\)
\(500\) −1.38363 1.69715i −0.0618776 0.0758989i
\(501\) 4.43558 5.56205i 0.198167 0.248494i
\(502\) 3.41499 31.8511i 0.152418 1.42158i
\(503\) 9.47430 11.8804i 0.422438 0.529721i −0.524382 0.851483i \(-0.675704\pi\)
0.946821 + 0.321762i \(0.104275\pi\)
\(504\) 7.43302 + 0.866143i 0.331093 + 0.0385811i
\(505\) 0.755707 + 0.947627i 0.0336285 + 0.0421688i
\(506\) 3.43427 2.18380i 0.152672 0.0970819i
\(507\) 1.98074 8.67821i 0.0879680 0.385413i
\(508\) −3.53213 14.7409i −0.156713 0.654022i
\(509\) 37.9800i 1.68344i 0.539918 + 0.841718i \(0.318455\pi\)
−0.539918 + 0.841718i \(0.681545\pi\)
\(510\) 0.0267545 0.249535i 0.00118471 0.0110496i
\(511\) −0.267248 + 13.3777i −0.0118223 + 0.591792i
\(512\) −21.6949 6.42885i −0.958789 0.284118i
\(513\) 1.44432 + 6.32796i 0.0637681 + 0.279386i
\(514\) 9.88894 9.99612i 0.436182 0.440910i
\(515\) −0.514426 + 0.410241i −0.0226683 + 0.0180774i
\(516\) 4.78265 2.36705i 0.210544 0.104204i
\(517\) −8.17563 + 1.86603i −0.359564 + 0.0820681i
\(518\) 21.6562 2.12073i 0.951520 0.0931794i
\(519\) 20.8094 + 4.74962i 0.913433 + 0.208485i
\(520\) 1.36161 0.501305i 0.0597105 0.0219837i
\(521\) 0.862494i 0.0377866i −0.999822 0.0188933i \(-0.993986\pi\)
0.999822 0.0188933i \(-0.00601428\pi\)
\(522\) −0.884948 + 8.25377i −0.0387331 + 0.361258i
\(523\) −10.6367 + 5.12238i −0.465111 + 0.223986i −0.651737 0.758445i \(-0.725959\pi\)
0.186625 + 0.982431i \(0.440245\pi\)
\(524\) −2.27543 1.77481i −0.0994028 0.0775328i
\(525\) 11.7733 + 5.96229i 0.513830 + 0.260216i
\(526\) 26.6628 + 16.5535i 1.16255 + 0.721768i
\(527\) −6.50881 1.48559i −0.283528 0.0647135i
\(528\) −3.04209 0.625656i −0.132390 0.0272282i
\(529\) −8.34550 + 4.01898i −0.362848 + 0.174738i
\(530\) 1.06600 1.07755i 0.0463039 0.0468058i
\(531\) −6.47582 3.11859i −0.281027 0.135335i
\(532\) −33.4127 7.95012i −1.44863 0.344682i
\(533\) −21.2804 + 10.2481i −0.921756 + 0.443895i
\(534\) 6.74520 19.6152i 0.291893 0.848833i
\(535\) −0.293675 1.28668i −0.0126967 0.0556278i
\(536\) −3.89932 + 40.4809i −0.168425 + 1.74851i
\(537\) −9.59767 7.65389i −0.414170 0.330290i
\(538\) −2.76848 23.4348i −0.119358 1.01035i
\(539\) −2.55189 + 4.79875i −0.109918 + 0.206697i
\(540\) 0.0510851 + 0.213197i 0.00219835 + 0.00917455i
\(541\) 10.4682 13.1267i 0.450062 0.564360i −0.504102 0.863644i \(-0.668176\pi\)
0.954164 + 0.299284i \(0.0967477\pi\)
\(542\) 21.5691 + 7.41709i 0.926471 + 0.318591i
\(543\) −13.0769 + 2.98473i −0.561185 + 0.128087i
\(544\) −1.27023 9.06943i −0.0544608 0.388849i
\(545\) −0.619288 1.28596i −0.0265274 0.0550847i
\(546\) −12.5611 + 12.1999i −0.537565 + 0.522109i
\(547\) 18.8623 39.1679i 0.806493 1.67470i 0.0706948 0.997498i \(-0.477478\pi\)
0.735798 0.677201i \(-0.236807\pi\)
\(548\) −7.66084 5.97535i −0.327255 0.255254i
\(549\) −6.72371 13.9619i −0.286961 0.595880i
\(550\) −4.65321 2.88894i −0.198413 0.123185i
\(551\) 8.47777 37.1435i 0.361165 1.58237i
\(552\) −9.94961 3.30193i −0.423484 0.140539i
\(553\) −1.73813 1.44384i −0.0739130 0.0613984i
\(554\) 9.53586 + 9.43361i 0.405140 + 0.400796i
\(555\) 0.276592 + 0.574349i 0.0117407 + 0.0243798i
\(556\) −0.106521 9.88034i −0.00451749 0.419020i
\(557\) 21.0813 0.893243 0.446622 0.894723i \(-0.352627\pi\)
0.446622 + 0.894723i \(0.352627\pi\)
\(558\) 5.79177 0.684211i 0.245185 0.0289650i
\(559\) −2.77857 + 12.1737i −0.117521 + 0.514893i
\(560\) −1.13139 0.256344i −0.0478100 0.0108325i
\(561\) −0.279706 1.22547i −0.0118092 0.0517396i
\(562\) 10.1478 + 28.5070i 0.428060 + 1.20249i
\(563\) −15.5962 19.5570i −0.657302 0.824231i 0.335744 0.941953i \(-0.391012\pi\)
−0.993047 + 0.117722i \(0.962441\pi\)
\(564\) 17.0324 + 13.2850i 0.717194 + 0.559401i
\(565\) 0.958128 0.218686i 0.0403087 0.00920020i
\(566\) 1.12126 + 3.14981i 0.0471301 + 0.132396i
\(567\) −1.60795 2.10107i −0.0675278 0.0882365i
\(568\) 30.8577 3.98314i 1.29476 0.167129i
\(569\) −16.3811 −0.686731 −0.343365 0.939202i \(-0.611567\pi\)
−0.343365 + 0.939202i \(0.611567\pi\)
\(570\) −0.118046 0.999244i −0.00494439 0.0418537i
\(571\) 0.420582 + 0.0959951i 0.0176008 + 0.00401727i 0.231312 0.972880i \(-0.425698\pi\)
−0.213711 + 0.976897i \(0.568555\pi\)
\(572\) 5.63264 4.59209i 0.235513 0.192005i
\(573\) 16.6429 13.2722i 0.695265 0.554456i
\(574\) 18.7326 + 2.38780i 0.781884 + 0.0996649i
\(575\) −14.4540 11.5267i −0.602772 0.480695i
\(576\) 3.70233 + 7.09174i 0.154264 + 0.295489i
\(577\) 26.7418 + 21.3259i 1.11328 + 0.887809i 0.994461 0.105108i \(-0.0335187\pi\)
0.118816 + 0.992916i \(0.462090\pi\)
\(578\) −17.1597 + 10.9116i −0.713749 + 0.453863i
\(579\) −2.22347 2.78815i −0.0924044 0.115872i
\(580\) 0.272807 1.25759i 0.0113277 0.0522185i
\(581\) 30.6311 + 0.611922i 1.27079 + 0.0253868i
\(582\) 2.76957 + 4.35545i 0.114802 + 0.180539i
\(583\) 3.29394 6.83994i 0.136421 0.283281i
\(584\) −11.9870 + 7.80513i −0.496027 + 0.322979i
\(585\) −0.462190 0.222579i −0.0191092 0.00920250i
\(586\) 0.0159650 + 0.00991186i 0.000659509 + 0.000409455i
\(587\) 46.3442 1.91283 0.956415 0.292012i \(-0.0943247\pi\)
0.956415 + 0.292012i \(0.0943247\pi\)
\(588\) 13.7340 2.71591i 0.566382 0.112002i
\(589\) −26.7668 −1.10291
\(590\) 0.946627 + 0.587712i 0.0389720 + 0.0241957i
\(591\) 0.562398 + 0.270837i 0.0231340 + 0.0111407i
\(592\) 14.8925 + 17.8702i 0.612078 + 0.734462i
\(593\) 19.4710 40.4319i 0.799577 1.66034i 0.0496977 0.998764i \(-0.484174\pi\)
0.749879 0.661575i \(-0.230112\pi\)
\(594\) 0.589203 + 0.926586i 0.0241753 + 0.0380183i
\(595\) −0.0953129 0.459736i −0.00390745 0.0188473i
\(596\) 7.93678 + 1.72171i 0.325103 + 0.0705241i
\(597\) −5.08424 6.37543i −0.208084 0.260929i
\(598\) 20.6996 13.1626i 0.846470 0.538258i
\(599\) −11.4603 9.13927i −0.468254 0.373420i 0.360750 0.932663i \(-0.382521\pi\)
−0.829004 + 0.559242i \(0.811092\pi\)
\(600\) 1.80610 + 13.9921i 0.0737339 + 0.571224i
\(601\) −7.27033 5.79790i −0.296563 0.236501i 0.463892 0.885892i \(-0.346453\pi\)
−0.760455 + 0.649391i \(0.775024\pi\)
\(602\) 7.16153 6.95563i 0.291882 0.283490i
\(603\) 11.2415 8.96478i 0.457788 0.365074i
\(604\) −1.67692 2.05690i −0.0682327 0.0836940i
\(605\) −1.11112 0.253606i −0.0451735 0.0103105i
\(606\) −1.83457 15.5294i −0.0745242 0.630839i
\(607\) −13.4308 −0.545140 −0.272570 0.962136i \(-0.587874\pi\)
−0.272570 + 0.962136i \(0.587874\pi\)
\(608\) −13.0564 34.3171i −0.529506 1.39174i
\(609\) 3.15263 + 15.2065i 0.127751 + 0.616200i
\(610\) 0.805636 + 2.26317i 0.0326193 + 0.0916331i
\(611\) −49.2775 + 11.2473i −1.99355 + 0.455016i
\(612\) −1.99134 + 2.55305i −0.0804953 + 0.103201i
\(613\) 21.6619 + 27.1632i 0.874917 + 1.09711i 0.994547 + 0.104293i \(0.0332580\pi\)
−0.119629 + 0.992819i \(0.538171\pi\)
\(614\) 9.48356 + 26.6409i 0.382725 + 1.07514i
\(615\) 0.123106 + 0.539363i 0.00496412 + 0.0217492i
\(616\) −5.77625 + 0.628588i −0.232732 + 0.0253265i
\(617\) 3.21604 14.0904i 0.129473 0.567259i −0.868022 0.496525i \(-0.834609\pi\)
0.997495 0.0707332i \(-0.0225339\pi\)
\(618\) 8.43025 0.995909i 0.339114 0.0400613i
\(619\) 13.8820 0.557963 0.278981 0.960297i \(-0.410003\pi\)
0.278981 + 0.960297i \(0.410003\pi\)
\(620\) −0.904035 + 0.00974649i −0.0363069 + 0.000391429i
\(621\) 1.60813 + 3.33933i 0.0645322 + 0.134003i
\(622\) 10.3815 + 10.2702i 0.416261 + 0.411797i
\(623\) 0.775075 38.7980i 0.0310527 1.55441i
\(624\) −18.3358 3.77106i −0.734019 0.150963i
\(625\) −5.52295 + 24.1976i −0.220918 + 0.967905i
\(626\) −2.55855 1.58847i −0.102260 0.0634882i
\(627\) −2.18662 4.54056i −0.0873251 0.181333i
\(628\) 11.6863 14.9827i 0.466336 0.597877i
\(629\) −4.08496 + 8.48251i −0.162878 + 0.338220i
\(630\) 0.213123 + 0.350426i 0.00849103 + 0.0139613i
\(631\) 0.587423 + 1.21980i 0.0233849 + 0.0485593i 0.912334 0.409447i \(-0.134278\pi\)
−0.888949 + 0.458006i \(0.848564\pi\)
\(632\) 0.231612 2.40448i 0.00921302 0.0956452i
\(633\) 21.1406 4.82521i 0.840264 0.191785i
\(634\) −25.6580 8.82319i −1.01901 0.350413i
\(635\) 0.517990 0.649539i 0.0205558 0.0257762i
\(636\) −19.0170 + 4.55674i −0.754072 + 0.180686i
\(637\) −15.3811 + 28.9238i −0.609423 + 1.14600i
\(638\) −0.756157 6.40079i −0.0299366 0.253410i
\(639\) −8.60044 6.85862i −0.340228 0.271323i
\(640\) −0.453467 1.15429i −0.0179249 0.0456272i
\(641\) −3.10376 13.5985i −0.122591 0.537108i −0.998506 0.0546417i \(-0.982598\pi\)
0.875915 0.482466i \(-0.160259\pi\)
\(642\) −5.53694 + 16.1015i −0.218525 + 0.635477i
\(643\) −5.51514 + 2.65595i −0.217496 + 0.104740i −0.539460 0.842012i \(-0.681371\pi\)
0.321964 + 0.946752i \(0.395657\pi\)
\(644\) −19.6114 0.180309i −0.772799 0.00710518i
\(645\) 0.263511 + 0.126900i 0.0103757 + 0.00499669i
\(646\) 10.4511 10.5644i 0.411192 0.415649i
\(647\) 38.9962 18.7796i 1.53310 0.738301i 0.538551 0.842593i \(-0.318972\pi\)
0.994547 + 0.104292i \(0.0332578\pi\)
\(648\) 0.890878 2.68446i 0.0349970 0.105456i
\(649\) 5.44084 + 1.24184i 0.213572 + 0.0487463i
\(650\) −28.0466 17.4127i −1.10008 0.682981i
\(651\) 9.92284 4.53671i 0.388907 0.177808i
\(652\) −2.81528 + 3.60940i −0.110255 + 0.141355i
\(653\) −38.3827 + 18.4841i −1.50203 + 0.723340i −0.990703 0.136045i \(-0.956561\pi\)
−0.511329 + 0.859385i \(0.670847\pi\)
\(654\) −1.96310 + 18.3095i −0.0767634 + 0.715960i
\(655\) 0.158162i 0.00617992i
\(656\) 9.14937 + 17.9957i 0.357223 + 0.702615i
\(657\) 4.93049 + 1.12535i 0.192357 + 0.0439042i
\(658\) 37.9450 + 13.9019i 1.47925 + 0.541953i
\(659\) 30.1174 6.87410i 1.17321 0.267777i 0.408869 0.912593i \(-0.365923\pi\)
0.764338 + 0.644816i \(0.223066\pi\)
\(660\) −0.0755051 0.152559i −0.00293903 0.00593834i
\(661\) 37.7148 30.0766i 1.46694 1.16984i 0.517585 0.855632i \(-0.326831\pi\)
0.949353 0.314212i \(-0.101740\pi\)
\(662\) 10.0259 10.1346i 0.389668 0.393892i
\(663\) −1.68589 7.38638i −0.0654746 0.286863i
\(664\) 17.8716 + 27.4470i 0.693551 + 1.06515i
\(665\) −0.782711 1.71197i −0.0303522 0.0663874i
\(666\) 0.876778 8.17757i 0.0339745 0.316875i
\(667\) 21.7555i 0.842375i
\(668\) 13.8366 3.31544i 0.535353 0.128278i
\(669\) −0.445651 + 1.95252i −0.0172299 + 0.0754889i
\(670\) −1.88088 + 1.19603i −0.0726649 + 0.0462066i
\(671\) 7.50193 + 9.40713i 0.289609 + 0.363158i
\(672\) 10.6566 + 10.5089i 0.411087 + 0.405390i
\(673\) 23.5570 29.5395i 0.908055 1.13867i −0.0818090 0.996648i \(-0.526070\pi\)
0.989864 0.142017i \(-0.0453588\pi\)
\(674\) −1.99443 + 18.6017i −0.0768224 + 0.716510i
\(675\) 3.10996 3.89976i 0.119702 0.150102i
\(676\) 13.7983 11.2493i 0.530704 0.432664i
\(677\) −12.1628 + 9.69953i −0.467455 + 0.372783i −0.828705 0.559686i \(-0.810922\pi\)
0.361249 + 0.932469i \(0.382350\pi\)
\(678\) −11.9901 4.12310i −0.460476 0.158347i
\(679\) 7.42773 + 6.17010i 0.285050 + 0.236787i
\(680\) 0.349132 0.360611i 0.0133886 0.0138288i
\(681\) −7.34008 3.53480i −0.281273 0.135454i
\(682\) −4.26600 + 1.51860i −0.163354 + 0.0581502i
\(683\) −12.9468 + 26.8844i −0.495397 + 1.02870i 0.492023 + 0.870582i \(0.336258\pi\)
−0.987420 + 0.158120i \(0.949457\pi\)
\(684\) −5.50600 + 11.7559i −0.210527 + 0.449497i
\(685\) 0.532495i 0.0203456i
\(686\) 22.9036 12.7053i 0.874465 0.485089i
\(687\) 18.4939i 0.705587i
\(688\) 10.4539 + 2.15002i 0.398551 + 0.0819686i
\(689\) 19.8538 41.2268i 0.756369 1.57062i
\(690\) −0.192687 0.541291i −0.00733547 0.0206066i
\(691\) −3.18735 1.53495i −0.121253 0.0583922i 0.372274 0.928123i \(-0.378578\pi\)
−0.493527 + 0.869731i \(0.664292\pi\)
\(692\) 26.9745 + 33.0869i 1.02542 + 1.25777i
\(693\) 1.58019 + 1.31264i 0.0600265 + 0.0498630i
\(694\) −5.12845 + 14.9137i −0.194673 + 0.566115i
\(695\) 0.423404 0.337653i 0.0160606 0.0128079i
\(696\) −11.5481 + 11.9278i −0.437731 + 0.452122i
\(697\) −5.09433 + 6.38808i −0.192961 + 0.241966i
\(698\) −7.80168 0.836476i −0.295298 0.0316611i
\(699\) −10.0793 + 12.6390i −0.381233 + 0.478051i
\(700\) 11.2328 + 23.8844i 0.424559 + 0.902745i
\(701\) −1.98681 2.49139i −0.0750409 0.0940984i 0.742894 0.669409i \(-0.233453\pi\)
−0.817935 + 0.575311i \(0.804881\pi\)
\(702\) 3.55134 + 5.58487i 0.134037 + 0.210787i
\(703\) −8.39950 + 36.8006i −0.316793 + 1.38796i
\(704\) −4.02784 4.72859i −0.151805 0.178216i
\(705\) 1.18390i 0.0445882i
\(706\) −30.4400 3.26370i −1.14563 0.122831i
\(707\) −12.1642 26.6060i −0.457483 1.00062i
\(708\) −6.37645 12.8837i −0.239642 0.484197i
\(709\) −3.66813 16.0711i −0.137759 0.603564i −0.995925 0.0901900i \(-0.971253\pi\)
0.858165 0.513374i \(-0.171605\pi\)
\(710\) 1.21230 + 1.19930i 0.0454968 + 0.0450090i
\(711\) −0.667722 + 0.532490i −0.0250415 + 0.0199699i
\(712\) 34.7650 22.6365i 1.30287 0.848340i
\(713\) −14.9014 + 3.40115i −0.558062 + 0.127374i
\(714\) −2.08381 + 5.68771i −0.0779845 + 0.212857i
\(715\) 0.388321 + 0.0886318i 0.0145224 + 0.00331464i
\(716\) −5.72101 23.8759i −0.213804 0.892285i
\(717\) 2.96204i 0.110619i
\(718\) −11.5756 1.24110i −0.431996 0.0463175i
\(719\) −15.3666 + 7.40016i −0.573077 + 0.275979i −0.697895 0.716200i \(-0.745880\pi\)
0.124818 + 0.992180i \(0.460165\pi\)
\(720\) −0.181681 + 0.399053i −0.00677087 + 0.0148718i
\(721\) 14.4433 6.60345i 0.537895 0.245925i
\(722\) 17.2530 27.7894i 0.642090 1.03421i
\(723\) 7.58264 + 1.73069i 0.282002 + 0.0643650i
\(724\) −24.2939 11.3783i −0.902875 0.422872i
\(725\) −26.3788 + 12.7033i −0.979682 + 0.471790i
\(726\) 10.4530 + 10.3409i 0.387948 + 0.383788i
\(727\) −17.2483 8.30633i −0.639703 0.308065i 0.0857704 0.996315i \(-0.472665\pi\)
−0.725473 + 0.688250i \(0.758379\pi\)
\(728\) −34.8156 + 3.78873i −1.29035 + 0.140420i
\(729\) −0.900969 + 0.433884i −0.0333692 + 0.0160698i
\(730\) −0.741374 0.254941i −0.0274395 0.00943579i
\(731\) 0.961189 + 4.21124i 0.0355509 + 0.155758i
\(732\) 6.57048 30.2887i 0.242852 1.11950i
\(733\) 21.4561 + 17.1107i 0.792498 + 0.631996i 0.933729 0.357980i \(-0.116535\pi\)
−0.141231 + 0.989977i \(0.545106\pi\)
\(734\) −13.9954 + 1.65335i −0.516579 + 0.0610261i
\(735\) 0.580324 + 0.501990i 0.0214056 + 0.0185162i
\(736\) −11.6292 17.4457i −0.428656 0.643057i
\(737\) −6.96062 + 8.72834i −0.256398 + 0.321513i
\(738\) 2.32103 6.74962i 0.0854385 0.248457i
\(739\) −26.8992 + 6.13957i −0.989504 + 0.225848i −0.686491 0.727139i \(-0.740850\pi\)
−0.303013 + 0.952986i \(0.597993\pi\)
\(740\) −0.270288 + 1.24598i −0.00993600 + 0.0458031i
\(741\) −13.1795 27.3676i −0.484163 1.00537i
\(742\) −31.2576 + 19.0104i −1.14750 + 0.697892i
\(743\) 19.2736 40.0221i 0.707082 1.46827i −0.168753 0.985658i \(-0.553974\pi\)
0.875834 0.482612i \(-0.160312\pi\)
\(744\) 9.97532 + 6.04515i 0.365713 + 0.221626i
\(745\) 0.193129 + 0.401037i 0.00707570 + 0.0146928i
\(746\) −26.2660 + 42.3066i −0.961666 + 1.54896i
\(747\) 2.57674 11.2894i 0.0942781 0.413059i
\(748\) 1.06629 2.27664i 0.0389875 0.0832424i
\(749\) −0.636236 + 31.8482i −0.0232476 + 1.16371i
\(750\) −1.08893 + 1.10073i −0.0397620 + 0.0401930i
\(751\) −13.8027 28.6616i −0.503668 1.04588i −0.985510 0.169620i \(-0.945746\pi\)
0.481841 0.876259i \(-0.339968\pi\)
\(752\) 10.5191 + 41.9014i 0.383592 + 1.52799i
\(753\) −22.6512 −0.825455
\(754\) −4.55764 38.5799i −0.165979 1.40500i
\(755\) 0.0323661 0.141805i 0.00117792 0.00516082i
\(756\) 0.0486484 5.29128i 0.00176933 0.192442i
\(757\) 1.97938 + 8.67222i 0.0719417 + 0.315197i 0.998076 0.0619958i \(-0.0197465\pi\)
−0.926135 + 0.377193i \(0.876889\pi\)
\(758\) −51.2761 + 18.2531i −1.86243 + 0.662983i
\(759\) −1.79427 2.24994i −0.0651277 0.0816676i
\(760\) 1.04296 1.72102i 0.0378321 0.0624281i
\(761\) 10.6314 2.42654i 0.385387 0.0879621i −0.0254377 0.999676i \(-0.508098\pi\)
0.410825 + 0.911714i \(0.365241\pi\)
\(762\) −10.0977 + 3.59456i −0.365803 + 0.130217i
\(763\) 6.99356 + 33.7330i 0.253184 + 1.22122i
\(764\) 42.5716 0.458968i 1.54018 0.0166049i
\(765\) −0.177459 −0.00641604
\(766\) 36.4752 4.30900i 1.31790 0.155691i
\(767\) 32.7939 + 7.48500i 1.18412 + 0.270268i
\(768\) −2.88457 + 15.7378i −0.104088 + 0.567890i
\(769\) −23.2610 + 18.5501i −0.838814 + 0.668932i −0.945593 0.325351i \(-0.894518\pi\)
0.106779 + 0.994283i \(0.465946\pi\)
\(770\) −0.221873 0.228441i −0.00799576 0.00823245i
\(771\) −7.77350