Properties

Label 804.2.bd.a.23.16
Level 804
Weight 2
Character 804.23
Analytic conductor 6.420
Analytic rank 0
Dimension 2640
CM no
Inner twists 8

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Newspace parameters

Level: \( N \) = \( 804 = 2^{2} \cdot 3 \cdot 67 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 804.bd (of order \(66\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.41997232251\)
Analytic rank: \(0\)
Dimension: \(2640\)
Relative dimension: \(132\) over \(\Q(\zeta_{66})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{66}]$

Embedding invariants

Embedding label 23.16
Character \(\chi\) = 804.23
Dual form 804.2.bd.a.35.16

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.30733 + 0.539338i) q^{2} +(1.73118 - 0.0550183i) q^{3} +(1.41823 - 1.41019i) q^{4} +(2.63175 - 1.20188i) q^{5} +(-2.23355 + 1.00562i) q^{6} +(0.694593 + 0.728468i) q^{7} +(-1.09353 + 2.60848i) q^{8} +(2.99395 - 0.190493i) q^{9} +O(q^{10})\) \(q+(-1.30733 + 0.539338i) q^{2} +(1.73118 - 0.0550183i) q^{3} +(1.41823 - 1.41019i) q^{4} +(2.63175 - 1.20188i) q^{5} +(-2.23355 + 1.00562i) q^{6} +(0.694593 + 0.728468i) q^{7} +(-1.09353 + 2.60848i) q^{8} +(2.99395 - 0.190493i) q^{9} +(-2.79235 + 2.99066i) q^{10} +(-1.29365 - 0.123529i) q^{11} +(2.37762 - 2.51931i) q^{12} +(5.25385 + 1.01260i) q^{13} +(-1.30095 - 0.577729i) q^{14} +(4.48990 - 2.22546i) q^{15} +(0.0227512 - 3.99994i) q^{16} +(-2.41551 + 4.68544i) q^{17} +(-3.81134 + 1.86379i) q^{18} +(-3.97078 + 4.16444i) q^{19} +(2.03755 - 5.41580i) q^{20} +(1.24254 + 1.22289i) q^{21} +(1.75785 - 0.536221i) q^{22} +(2.60993 - 1.04486i) q^{23} +(-1.74958 + 4.57591i) q^{24} +(2.20729 - 2.54735i) q^{25} +(-7.41465 + 1.50980i) q^{26} +(5.17257 - 0.494499i) q^{27} +(2.01237 + 0.0536299i) q^{28} +(-0.207920 - 0.120043i) q^{29} +(-4.66951 + 5.33099i) q^{30} +(0.254944 + 1.32277i) q^{31} +(2.12757 + 5.24151i) q^{32} +(-2.24633 - 0.142675i) q^{33} +(0.630840 - 7.42819i) q^{34} +(2.70353 + 1.08233i) q^{35} +(3.97747 - 4.49218i) q^{36} +(-1.30376 - 2.25817i) q^{37} +(2.94509 - 7.58589i) q^{38} +(9.15105 + 1.46392i) q^{39} +(0.257189 + 8.17917i) q^{40} +(-2.96058 + 0.141030i) q^{41} +(-2.28397 - 0.928575i) q^{42} +(-6.47484 - 10.0750i) q^{43} +(-2.00889 + 1.64910i) q^{44} +(7.65037 - 4.09969i) q^{45} +(-2.84851 + 2.77361i) q^{46} +(-7.55715 - 5.94301i) q^{47} +(-0.180683 - 6.92585i) q^{48} +(0.284867 - 5.98009i) q^{49} +(-1.51178 + 4.52070i) q^{50} +(-3.92389 + 8.24421i) q^{51} +(8.87911 - 5.97281i) q^{52} +(5.23723 - 8.14929i) q^{53} +(-6.49556 + 3.43623i) q^{54} +(-3.55303 + 1.22972i) q^{55} +(-2.65976 + 1.01523i) q^{56} +(-6.64501 + 7.42784i) q^{57} +(0.336564 + 0.0447964i) q^{58} +(6.62268 + 7.64298i) q^{59} +(3.22939 - 9.48781i) q^{60} +(-4.91037 + 0.468883i) q^{61} +(-1.04672 - 1.59180i) q^{62} +(2.21834 + 2.04868i) q^{63} +(-5.60839 - 5.70491i) q^{64} +(15.0438 - 3.64959i) q^{65} +(3.01365 - 1.02501i) q^{66} +(-7.61507 - 3.00180i) q^{67} +(3.18159 + 10.0513i) q^{68} +(4.46076 - 1.95243i) q^{69} +(-4.11814 + 0.0431516i) q^{70} +(0.00404944 - 0.00208763i) q^{71} +(-2.77707 + 8.01797i) q^{72} +(7.73998 - 0.739078i) q^{73} +(2.92236 + 2.24901i) q^{74} +(3.68106 - 4.53135i) q^{75} +(0.241148 + 11.5057i) q^{76} +(-0.808573 - 1.02818i) q^{77} +(-12.7530 + 3.02167i) q^{78} +(-13.1272 + 4.54337i) q^{79} +(-4.74757 - 10.5542i) q^{80} +(8.92742 - 1.14065i) q^{81} +(3.79440 - 1.78113i) q^{82} +(0.00396083 - 0.00556221i) q^{83} +(3.48671 - 0.0178742i) q^{84} +(-0.725687 + 15.2340i) q^{85} +(13.8986 + 9.67930i) q^{86} +(-0.366551 - 0.196376i) q^{87} +(1.73687 - 3.23938i) q^{88} +(11.8014 - 1.69678i) q^{89} +(-7.79045 + 9.48579i) q^{90} +(2.91164 + 4.53060i) q^{91} +(2.22804 - 5.16234i) q^{92} +(0.514130 + 2.27593i) q^{93} +(13.0850 + 3.69363i) q^{94} +(-5.44496 + 15.7322i) q^{95} +(3.97158 + 8.95693i) q^{96} +(-2.92429 - 5.06502i) q^{97} +(2.85287 + 7.97160i) q^{98} +(-3.89665 - 0.123407i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 2640q - 42q^{4} - 19q^{6} - 32q^{9} + O(q^{10}) \) \( 2640q - 42q^{4} - 19q^{6} - 32q^{9} - 46q^{10} - 24q^{12} - 88q^{13} - 26q^{16} - 23q^{18} - 128q^{22} - 22q^{24} + 160q^{25} + 44q^{28} - 18q^{30} - 44q^{33} - 6q^{34} - 35q^{36} - 48q^{37} - 92q^{40} - 10q^{42} + 40q^{45} + 46q^{46} - 11q^{48} - 216q^{49} - 76q^{52} + 129q^{54} - 42q^{57} - 56q^{58} - 90q^{60} - 80q^{61} - 48q^{64} - 74q^{66} - 4q^{69} + 96q^{70} - 20q^{72} - 216q^{73} + 76q^{76} - 66q^{78} - 16q^{81} + 20q^{82} - 55q^{84} - 104q^{85} - 30q^{88} - 64q^{90} - 192q^{93} - 32q^{94} - 205q^{96} - 64q^{97} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/804\mathbb{Z}\right)^\times\).

\(n\) \(269\) \(337\) \(403\)
\(\chi(n)\) \(-1\) \(e\left(\frac{14}{33}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.30733 + 0.539338i −0.924423 + 0.381369i
\(3\) 1.73118 0.0550183i 0.999495 0.0317648i
\(4\) 1.41823 1.41019i 0.709115 0.705093i
\(5\) 2.63175 1.20188i 1.17695 0.537497i 0.271706 0.962380i \(-0.412412\pi\)
0.905248 + 0.424883i \(0.139685\pi\)
\(6\) −2.23355 + 1.00562i −0.911842 + 0.410541i
\(7\) 0.694593 + 0.728468i 0.262531 + 0.275335i 0.841786 0.539812i \(-0.181505\pi\)
−0.579254 + 0.815147i \(0.696656\pi\)
\(8\) −1.09353 + 2.60848i −0.386621 + 0.922239i
\(9\) 2.99395 0.190493i 0.997982 0.0634976i
\(10\) −2.79235 + 2.99066i −0.883019 + 0.945729i
\(11\) −1.29365 0.123529i −0.390050 0.0372453i −0.101811 0.994804i \(-0.532464\pi\)
−0.288239 + 0.957558i \(0.593070\pi\)
\(12\) 2.37762 2.51931i 0.686360 0.727262i
\(13\) 5.25385 + 1.01260i 1.45716 + 0.280844i 0.855454 0.517878i \(-0.173278\pi\)
0.601701 + 0.798722i \(0.294490\pi\)
\(14\) −1.30095 0.577729i −0.347694 0.154405i
\(15\) 4.48990 2.22546i 1.15929 0.574612i
\(16\) 0.0227512 3.99994i 0.00568781 0.999984i
\(17\) −2.41551 + 4.68544i −0.585847 + 1.13639i 0.390586 + 0.920566i \(0.372272\pi\)
−0.976433 + 0.215819i \(0.930758\pi\)
\(18\) −3.81134 + 1.86379i −0.898341 + 0.439298i
\(19\) −3.97078 + 4.16444i −0.910960 + 0.955388i −0.999171 0.0407142i \(-0.987037\pi\)
0.0882106 + 0.996102i \(0.471885\pi\)
\(20\) 2.03755 5.41580i 0.455610 1.21101i
\(21\) 1.24254 + 1.22289i 0.271145 + 0.266857i
\(22\) 1.75785 0.536221i 0.374775 0.114323i
\(23\) 2.60993 1.04486i 0.544208 0.217868i −0.0832358 0.996530i \(-0.526525\pi\)
0.627444 + 0.778662i \(0.284101\pi\)
\(24\) −1.74958 + 4.57591i −0.357131 + 0.934054i
\(25\) 2.20729 2.54735i 0.441458 0.509470i
\(26\) −7.41465 + 1.50980i −1.45413 + 0.296096i
\(27\) 5.17257 0.494499i 0.995461 0.0951663i
\(28\) 2.01237 + 0.0536299i 0.380302 + 0.0101351i
\(29\) −0.207920 0.120043i −0.0386098 0.0222913i 0.480571 0.876956i \(-0.340429\pi\)
−0.519181 + 0.854665i \(0.673763\pi\)
\(30\) −4.66951 + 5.33099i −0.852532 + 0.973301i
\(31\) 0.254944 + 1.32277i 0.0457893 + 0.237577i 0.997612 0.0690727i \(-0.0220040\pi\)
−0.951822 + 0.306650i \(0.900792\pi\)
\(32\) 2.12757 + 5.24151i 0.376105 + 0.926577i
\(33\) −2.24633 0.142675i −0.391036 0.0248366i
\(34\) 0.630840 7.42819i 0.108188 1.27392i
\(35\) 2.70353 + 1.08233i 0.456979 + 0.182947i
\(36\) 3.97747 4.49218i 0.662912 0.748697i
\(37\) −1.30376 2.25817i −0.214336 0.371241i 0.738731 0.674001i \(-0.235425\pi\)
−0.953067 + 0.302759i \(0.902092\pi\)
\(38\) 2.94509 7.58589i 0.477757 1.23059i
\(39\) 9.15105 + 1.46392i 1.46534 + 0.234416i
\(40\) 0.257189 + 8.17917i 0.0406652 + 1.29324i
\(41\) −2.96058 + 0.141030i −0.462366 + 0.0220252i −0.277473 0.960734i \(-0.589497\pi\)
−0.184893 + 0.982759i \(0.559194\pi\)
\(42\) −2.28397 0.928575i −0.352424 0.143282i
\(43\) −6.47484 10.0750i −0.987404 1.53643i −0.836562 0.547872i \(-0.815438\pi\)
−0.150842 0.988558i \(1.45180\pi\)
\(44\) −2.00889 + 1.64910i −0.302852 + 0.248610i
\(45\) 7.65037 4.09969i 1.14045 0.611146i
\(46\) −2.84851 + 2.77361i −0.419990 + 0.408946i
\(47\) −7.55715 5.94301i −1.10232 0.866877i −0.110423 0.993885i \(-0.535220\pi\)
−0.991902 + 0.127007i \(0.959463\pi\)
\(48\) −0.180683 6.92585i −0.0260794 0.999660i
\(49\) 0.284867 5.98009i 0.0406953 0.854299i
\(50\) −1.51178 + 4.52070i −0.213798 + 0.639324i
\(51\) −3.92389 + 8.24421i −0.549454 + 1.15442i
\(52\) 8.87911 5.97281i 1.23131 0.828279i
\(53\) 5.23723 8.14929i 0.719389 1.11939i −0.268357 0.963320i \(-0.586481\pi\)
0.987746 0.156072i \(-0.0498830\pi\)
\(54\) −6.49556 + 3.43623i −0.883934 + 0.467612i
\(55\) −3.55303 + 1.22972i −0.479090 + 0.165815i
\(56\) −2.65976 + 1.01523i −0.355425 + 0.135666i
\(57\) −6.64501 + 7.42784i −0.880153 + 0.983842i
\(58\) 0.336564 + 0.0447964i 0.0441930 + 0.00588206i
\(59\) 6.62268 + 7.64298i 0.862199 + 0.995031i 0.999990 + 0.00456934i \(0.00145447\pi\)
−0.137791 + 0.990461i \(0.544000\pi\)
\(60\) 3.22939 9.48781i 0.416913 1.22487i
\(61\) −4.91037 + 0.468883i −0.628708 + 0.0600343i −0.404546 0.914518i \(-0.632571\pi\)
−0.224162 + 0.974552i \(0.571964\pi\)
\(62\) −1.04672 1.59180i −0.132933 0.202159i
\(63\) 2.21834 + 2.04868i 0.279485 + 0.258109i
\(64\) −5.60839 5.70491i −0.701048 0.713114i
\(65\) 15.0438 3.64959i 1.86596 0.452676i
\(66\) 3.01365 1.02501i 0.370955 0.126170i
\(67\) −7.61507 3.00180i −0.930328 0.366728i
\(68\) 3.18159 + 10.0513i 0.385824 + 1.21890i
\(69\) 4.46076 1.95243i 0.537013 0.235045i
\(70\) −4.11814 + 0.0431516i −0.492212 + 0.00515760i
\(71\) 0.00404944 0.00208763i 0.000480580 0.000247756i −0.457986 0.888959i \(-0.651429\pi\)
0.458467 + 0.888712i \(0.348399\pi\)
\(72\) −2.77707 + 8.01797i −0.327281 + 0.944927i
\(73\) 7.73998 0.739078i 0.905896 0.0865026i 0.368302 0.929706i \(-0.379939\pi\)
0.537594 + 0.843204i \(0.319333\pi\)
\(74\) 2.92236 + 2.24901i 0.339717 + 0.261443i
\(75\) 3.68106 4.53135i 0.425052 0.523235i
\(76\) 0.241148 + 11.5057i 0.0276616 + 1.31979i
\(77\) −0.808573 1.02818i −0.0921455 0.117173i
\(78\) −12.7530 + 3.02167i −1.44399 + 0.342137i
\(79\) −13.1272 + 4.54337i −1.47693 + 0.511169i −0.942547 0.334075i \(-0.891576\pi\)
−0.534381 + 0.845244i \(0.679455\pi\)
\(80\) −4.74757 10.5542i −0.530794 1.17999i
\(81\) 8.92742 1.14065i 0.991936 0.126739i
\(82\) 3.79440 1.78113i 0.419022 0.196693i
\(83\) 0.00396083 0.00556221i 0.000434758 0.000610532i −0.814359 0.580362i \(-0.802911\pi\)
0.814793 + 0.579752i \(0.196850\pi\)
\(84\) 3.48671 0.0178742i 0.380432 0.00195023i
\(85\) −0.725687 + 15.2340i −0.0787118 + 1.65236i
\(86\) 13.8986 + 9.67930i 1.49873 + 1.04375i
\(87\) −0.366551 0.196376i −0.0392983 0.0210537i
\(88\) 1.73687 3.23938i 0.185151 0.345320i
\(89\) 11.8014 1.69678i 1.25094 0.179859i 0.515171 0.857087i \(-0.327728\pi\)
0.735772 + 0.677229i \(0.236819\pi\)
\(90\) −7.79045 + 9.48579i −0.821185 + 0.999890i
\(91\) 2.91164 + 4.53060i 0.305223 + 0.474936i
\(92\) 2.22804 5.16234i 0.232289 0.538211i
\(93\) 0.514130 + 2.27593i 0.0533127 + 0.236003i
\(94\) 13.0850 + 3.69363i 1.34961 + 0.380969i
\(95\) −5.44496 + 15.7322i −0.558641 + 1.61409i
\(96\) 3.97158 + 8.95693i 0.405348 + 0.914162i
\(97\) −2.92429 5.06502i −0.296917 0.514275i 0.678512 0.734589i \(-0.262625\pi\)
−0.975429 + 0.220314i \(0.929292\pi\)
\(98\) 2.85287 + 7.97160i 0.288184 + 0.805253i
\(99\) −3.89665 0.123407i −0.391628 0.0124029i
\(100\) −0.461791 6.72541i −0.0461791 0.672541i
\(101\) 14.5279 + 3.52443i 1.44558 + 0.350693i 0.880383 0.474264i \(-0.157286\pi\)
0.565195 + 0.824957i \(0.308801\pi\)
\(102\) 0.683408 12.8942i 0.0676675 1.27672i
\(103\) 1.03275 + 5.35843i 0.101760 + 0.527982i 0.996656 + 0.0817074i \(0.0260373\pi\)
−0.894896 + 0.446274i \(0.852751\pi\)
\(104\) −8.38658 + 12.5973i −0.822372 + 1.23526i
\(105\) 4.73983 + 1.72496i 0.462560 + 0.168339i
\(106\) −2.45158 + 13.4785i −0.238118 + 1.30914i
\(107\) −3.10491 + 6.79881i −0.300163 + 0.657266i −0.998274 0.0587237i \(-0.981297\pi\)
0.698111 + 0.715990i \(0.254024\pi\)
\(108\) 6.63856 7.99560i 0.638795 0.769377i
\(109\) −2.57335 + 2.96981i −0.246482 + 0.284456i −0.865487 0.500932i \(-0.832991\pi\)
0.619004 + 0.785387i \(0.287536\pi\)
\(110\) 3.98176 3.52393i 0.379645 0.335993i
\(111\) −2.38127 3.83757i −0.226021 0.364246i
\(112\) 2.92963 2.76175i 0.276824 0.260961i
\(113\) −4.57675 + 3.25909i −0.430545 + 0.306590i −0.774707 0.632321i \(-0.782102\pi\)
0.344162 + 0.938910i \(0.388163\pi\)
\(114\) 4.68111 13.2946i 0.438426 1.24515i
\(115\) 5.61289 5.88663i 0.523405 0.548931i
\(116\) −0.464161 + 0.122958i −0.0430962 + 0.0114163i
\(117\) 15.9226 + 2.03084i 1.47205 + 0.187751i
\(118\) −12.7802 6.42004i −1.17651 0.591013i
\(119\) −5.09099 + 1.49485i −0.466690 + 0.137033i
\(120\) 0.895244 + 14.1454i 0.0817242 + 1.29130i
\(121\) −9.14294 1.76216i −0.831177 0.160196i
\(122\) 6.16659 3.26133i 0.558297 0.295267i
\(123\) −5.11754 + 0.407034i −0.461433 + 0.0367010i
\(124\) 2.22693 + 1.51648i 0.199984 + 0.136184i
\(125\) −1.32812 + 4.52316i −0.118791 + 0.404564i
\(126\) −4.00504 1.48187i −0.356797 0.132015i
\(127\) −4.32114 4.53188i −0.383439 0.402139i 0.503523 0.863982i \(-0.332037\pi\)
−0.886962 + 0.461843i \(0.847188\pi\)
\(128\) 10.4089 + 4.43339i 0.920025 + 0.391860i
\(129\) −11.7634 17.0855i −1.03571 1.50429i
\(130\) −17.6989 + 12.8849i −1.55230 + 1.13008i
\(131\) 2.05198 14.2718i 0.179282 1.24693i −0.679147 0.734002i \(-0.737650\pi\)
0.858429 0.512932i \(-0.171441\pi\)
\(132\) −3.38702 + 2.96540i −0.294802 + 0.258105i
\(133\) −5.79174 −0.502207
\(134\) 11.5744 0.182752i 0.999875 0.0157873i
\(135\) 13.0186 7.51820i 1.12046 0.647064i
\(136\) −9.58046 11.4245i −0.821517 0.979641i
\(137\) −17.3512 2.49472i −1.48241 0.213139i −0.646884 0.762588i \(-0.723928\pi\)
−0.835527 + 0.549450i \(0.814837\pi\)
\(138\) −4.77868 + 4.95833i −0.406788 + 0.422081i
\(139\) 13.2334 6.04351i 1.12245 0.512604i 0.234299 0.972164i \(-0.424720\pi\)
0.888146 + 0.459561i \(0.151993\pi\)
\(140\) 5.36051 2.27748i 0.453045 0.192483i
\(141\) −13.4097 9.87262i −1.12930 0.831425i
\(142\) −0.00416802 + 0.00491324i −0.000349772 + 0.000412310i
\(143\) −6.67156 1.95895i −0.557903 0.163815i
\(144\) −0.693843 11.9799i −0.0578203 0.998327i
\(145\) −0.691470 0.0660274i −0.0574235 0.00548328i
\(146\) −9.72010 + 5.14068i −0.804442 + 0.425446i
\(147\) 0.164140 10.3683i 0.0135381 0.855161i
\(148\) −5.03347 1.36407i −0.413749 0.112126i
\(149\) −2.83682 9.66132i −0.232401 0.791486i −0.990280 0.139090i \(-0.955582\pi\)
0.757878 0.652396i \(-0.226236\pi\)
\(150\) −2.36843 + 7.90931i −0.193382 + 0.645792i
\(151\) −2.53711 + 4.92130i −0.206467 + 0.400490i −0.969219 0.246202i \(-0.920817\pi\)
0.762752 + 0.646691i \(0.223848\pi\)
\(152\) −6.52070 14.9117i −0.528899 1.20950i
\(153\) −6.33936 + 14.4881i −0.512507 + 1.17129i
\(154\) 1.61161 + 0.908084i 0.129867 + 0.0731755i
\(155\) 2.26076 + 3.17480i 0.181589 + 0.255006i
\(156\) 15.0427 10.8285i 1.20438 0.866974i
\(157\) −0.822903 + 0.329441i −0.0656748 + 0.0262922i −0.404267 0.914641i \(-0.632473\pi\)
0.338592 + 0.940933i \(0.390049\pi\)
\(158\) 14.7112 13.0197i 1.17036 1.03579i
\(159\) 8.61821 14.3960i 0.683469 1.14168i
\(160\) 11.8989 + 11.2373i 0.940691 + 0.888383i
\(161\) 2.57398 + 1.17550i 0.202858 + 0.0926423i
\(162\) −11.0559 + 6.30610i −0.868634 + 0.495454i
\(163\) 21.8744 + 12.6292i 1.71333 + 0.989193i 0.929975 + 0.367623i \(0.119828\pi\)
0.783358 + 0.621571i \(0.213505\pi\)
\(164\) −3.99991 + 4.37499i −0.312341 + 0.341629i
\(165\) −6.08327 + 2.32434i −0.473582 + 0.180949i
\(166\) −0.00217821 + 0.00940788i −0.000169062 + 0.000730193i
\(167\) −4.55036 + 18.7568i −0.352117 + 1.45145i 0.470272 + 0.882521i \(0.344156\pi\)
−0.822389 + 0.568925i \(0.807359\pi\)
\(168\) −4.54865 + 1.90388i −0.350936 + 0.146888i
\(169\) 14.5088 + 5.80844i 1.11606 + 0.446803i
\(170\) −7.26758 20.3073i −0.557398 1.55750i
\(171\) −11.0950 + 13.2245i −0.848457 + 1.01130i
\(172\) −23.3905 5.15800i −1.78351 0.393294i
\(173\) 0.576793 + 0.199630i 0.0438528 + 0.0151776i 0.348906 0.937158i \(-0.386553\pi\)
−0.305054 + 0.952335i \(0.598674\pi\)
\(174\) 0.585116 + 0.0590333i 0.0443575 + 0.00447531i
\(175\) 3.38883 0.161430i 0.256171 0.0122029i
\(176\) −0.523539 + 5.17171i −0.0394632 + 0.389832i
\(177\) 11.8855 + 12.8670i 0.893371 + 0.967141i
\(178\) −14.5132 + 8.58318i −1.08781 + 0.643337i
\(179\) −2.00232 13.9264i −0.149660 1.04091i −0.916776 0.399401i \(-0.869218\pi\)
0.767116 0.641508i \(1.77831\pi\)
\(180\) 5.06865 16.6027i 0.377795 1.23750i
\(181\) 2.28581 + 1.79758i 0.169903 + 0.133613i 0.699490 0.714643i \(-0.253411\pi\)
−0.529587 + 0.848256i \(0.677653\pi\)
\(182\) −6.25000 4.35264i −0.463281 0.322639i
\(183\) −8.47492 + 1.08188i −0.626484 + 0.0799749i
\(184\) −0.128539 + 7.95055i −0.00947599 + 0.586122i
\(185\) −6.14521 4.37599i −0.451805 0.321729i
\(186\) −1.89963 2.69810i −0.139288 0.197835i
\(187\) 3.70361 5.76293i 0.270835 0.421427i
\(188\) −19.0985 + 2.22844i −1.39290 + 0.162525i
\(189\) 3.95306 + 3.42458i 0.287543 + 0.249101i
\(190\) −1.36659 23.5038i −0.0991428 1.70515i
\(191\) −19.9525 + 15.6908i −1.44371 + 1.13535i −0.477178 + 0.878807i \(0.658340\pi\)
−0.966533 + 0.256541i \(0.917417\pi\)
\(192\) −10.0230 9.56764i −0.723346 0.690485i
\(193\) −8.15387 9.41007i −0.586929 0.677352i 0.382151 0.924100i \(-0.375183\pi\)
−0.969080 + 0.246748i \(0.920638\pi\)
\(194\) 6.55477 + 5.04448i 0.470605 + 0.362172i
\(195\) 25.8427 7.14578i 1.85064 0.511720i
\(196\) −8.02904 8.88286i −0.573503 0.634490i
\(197\) −8.21813 15.9409i −0.585517 1.13575i −0.976534 0.215362i \(-0.930907\pi\)
0.391017 0.920384i \(-0.372123\pi\)
\(198\) 5.16077 1.94028i 0.366760 0.137889i
\(199\) 13.9703 3.38917i 0.990331 0.240252i 0.292306 0.956325i \(-0.405577\pi\)
0.698025 + 0.716073i \(0.254062\pi\)
\(200\) 4.23098 + 8.54328i 0.299176 + 0.604101i
\(201\) −13.3482 4.77767i −0.941508 0.336991i
\(202\) −20.8936 + 3.22784i −1.47007 + 0.227110i
\(203\) −0.0569725 0.234844i −0.00399868 0.0164828i
\(204\) 6.06090 + 17.2256i 0.424348 + 1.20603i
\(205\) −7.62202 + 3.92942i −0.532345 + 0.274443i
\(206\) −4.24015 6.44824i −0.295425 0.449270i
\(207\) 7.61495 3.62542i 0.529276 0.251984i
\(208\) 4.16985 20.9920i 0.289127 1.45553i
\(209\) 5.65123 4.89682i 0.390904 0.338720i
\(210\) −7.12686 + 0.301276i −0.491800 + 0.0207900i
\(211\) −11.9712 15.2226i −0.824128 1.04796i −0.998001 0.0631959i \(-0.979871\pi\)
0.173873 0.984768i \(1.55563\pi\)
\(212\) −4.06442 18.9430i −0.279145 1.30101i
\(213\) 0.00689544 0.00383685i 0.000472467 0.000262897i
\(214\) 0.392295 10.5629i 0.0268167 0.722065i
\(215\) −29.1492 18.7330i −1.98796 1.27758i
\(216\) −4.36647 + 14.0333i −0.297100 + 0.954846i
\(217\) −0.786516 + 1.10451i −0.0533922 + 0.0749789i
\(218\) 1.76250 5.27043i 0.119371 0.356958i
\(219\) 13.3586 1.70532i 0.902691 0.115235i
\(220\) −3.30489 + 6.75445i −0.222815 + 0.455385i
\(221\) −17.4352 + 22.1706i −1.17282 + 1.49136i
\(222\) 5.18286 + 3.73266i 0.347851 + 0.250520i
\(223\) −12.6630 + 1.82066i −0.847976 + 0.121921i −0.552586 0.833456i \(-0.686359\pi\)
−0.295390 + 0.955377i \(0.595450\pi\)
\(224\) −2.34048 + 5.19058i −0.156380 + 0.346811i
\(225\) 6.12325 8.04710i 0.408217 0.536473i
\(226\) 4.22558 6.72913i 0.281082 0.447615i
\(227\) 0.536922 + 11.2714i 0.0356367 + 0.748107i 0.944004 + 0.329934i \(0.107027\pi\)
−0.908367 + 0.418173i \(0.862670\pi\)
\(228\) 1.05049 + 19.9051i 0.0695706 + 1.31825i
\(229\) −7.01219 + 20.2604i −0.463379 + 1.33885i 0.435319 + 0.900276i \(0.356636\pi\)
−0.898698 + 0.438569i \(0.855486\pi\)
\(230\) −4.16302 + 10.7230i −0.274502 + 0.707055i
\(231\) −1.45635 1.73548i −0.0958210 0.114186i
\(232\) 0.540496 0.411086i 0.0354853 0.0269891i
\(233\) 1.64739 4.11498i 0.107924 0.269581i −0.864569 0.502515i \(-0.832408\pi\)
0.972493 + 0.232934i \(0.0748325\pi\)
\(234\) −21.9115 + 5.93270i −1.43240 + 0.387832i
\(235\) −27.0313 6.55773i −1.76333 0.427779i
\(236\) 20.1705 + 1.50029i 1.31299 + 0.0976606i
\(237\) −22.4756 + 8.58762i −1.45994 + 0.557826i
\(238\) 5.84938 4.70002i 0.379159 0.304657i
\(239\) 7.59649 13.1575i 0.491376 0.851089i −0.508574 0.861018i \(-0.669827\pi\)
0.999951 + 0.00992922i \(0.00316062\pi\)
\(240\) −8.79955 18.0099i −0.568009 1.16254i
\(241\) 7.19799 15.7614i 0.463664 1.01528i −0.522974 0.852349i \(-0.675177\pi\)
0.986637 0.162933i \(-0.0520954\pi\)
\(242\) 12.9033 2.62741i 0.829453 0.168896i
\(243\) 15.3922 2.46584i 0.987410 0.158184i
\(244\) −6.30282 + 7.58951i −0.403496 + 0.485869i
\(245\) −6.43766 16.0805i −0.411287 1.02734i
\(246\) 6.47078 3.29221i 0.412562 0.209904i
\(247\) −25.0788 + 17.8585i −1.59572 + 1.13631i
\(248\) −3.72922 0.781475i −0.236806 0.0496237i
\(249\) 0.00655088 0.00984709i 0.000415145 0.000624034i
\(250\) −0.703218 6.62957i −0.0444754 0.419291i
\(251\) −12.6229 6.50754i −0.796748 0.410752i 0.0112502 0.999937i \(-0.496419\pi\)
−0.807999 + 0.589184i \(0.799449\pi\)
\(252\) 6.03514 0.222777i 0.380178 0.0140336i
\(253\) −3.50541 + 1.02928i −0.220383 + 0.0647103i
\(254\) 8.09337 + 3.59411i 0.507823 + 0.225515i
\(255\) −0.418141 + 26.4128i −0.0261850 + 1.65403i
\(256\) −15.9990 0.182007i −0.999935 0.0113754i
\(257\) −0.547378 + 5.73240i −0.0341445 + 0.357577i 0.962213 + 0.272299i \(0.0877840\pi\)
−0.996357 + 0.0852783i \(0.972822\pi\)
\(258\) 24.5935 + 15.9919i 1.53112 + 0.995612i
\(259\) 0.739427 2.51826i 0.0459457 0.156477i
\(260\) 16.1890 26.3906i 1.00400 1.63667i
\(261\) −0.645368 0.319794i −0.0399473 0.0197947i
\(262\) 5.01471 + 19.7647i 0.309810 + 1.22107i
\(263\) −2.28425 5.00182i −0.140853 0.308425i 0.826038 0.563614i \(-0.190590\pi\)
−0.966891 + 0.255189i \(0.917862\pi\)
\(264\) 2.82860 5.70351i 0.174088 0.351027i
\(265\) 3.98861 27.7414i 0.245019 1.70414i
\(266\) 7.57172 3.12370i 0.464252 0.191527i
\(267\) 20.3369 3.58672i 1.24460 0.219504i
\(268\) −15.0330 + 6.48142i −0.918287 + 0.395916i
\(269\) 12.7577i 0.777849i 0.921270 + 0.388924i \(0.127153\pi\)
−0.921270 + 0.388924i \(0.872847\pi\)
\(270\) −12.9647 + 16.8502i −0.789009 + 1.02547i
\(271\) 13.9760 + 2.00944i 0.848980 + 0.122065i 0.553054 0.833146i \(-0.313462\pi\)
0.295927 + 0.955211i \(0.404372\pi\)
\(272\) 18.6865 + 9.76848i 1.13303 + 0.592301i
\(273\) 5.28983 + 7.68308i 0.320155 + 0.465001i
\(274\) 24.0292 6.09672i 1.45166 0.368316i
\(275\) −3.17013 + 3.02271i −0.191166 + 0.182276i
\(276\) 3.57310 9.05950i 0.215075 0.545318i
\(277\) −14.5200 4.26345i −0.872421 0.256166i −0.185276 0.982686i \(-0.559318\pi\)
−0.687145 + 0.726521i \(0.741136\pi\)
\(278\) −14.0410 + 15.0382i −0.842123 + 0.901929i
\(279\) 1.01527 + 3.91175i 0.0607824 + 0.234190i
\(280\) −5.77962 + 5.86855i −0.345399 + 0.350713i
\(281\) 0.291942 1.51474i 0.0174158 0.0903618i −0.972181 0.234232i \(-0.924743\pi\)
0.989597 + 0.143870i \(0.0459547\pi\)
\(282\) 22.8557 + 5.67441i 1.36103 + 0.337906i
\(283\) −1.28290 4.36916i −0.0762606 0.259720i 0.912534 0.409000i \(-0.134122\pi\)
−0.988795 + 0.149280i \(0.952304\pi\)
\(284\) 0.00279909 0.00867120i 0.000166095 0.000514541i
\(285\) −8.56062 + 27.5347i −0.507088 + 1.63102i
\(286\) 9.77847 1.03723i 0.578213 0.0613327i
\(287\) −2.15914 2.05873i −0.127450 0.121523i
\(288\) 7.36831 + 15.2875i 0.434182 + 0.900825i
\(289\) −6.25765 8.78764i −0.368097 0.516920i
\(290\) 0.939591 0.286616i 0.0551747 0.0168307i
\(291\) −5.34113 8.60755i −0.313103 0.504584i
\(292\) 9.93483 11.9630i 0.581392 0.700081i
\(293\) 3.59633 + 3.11623i 0.210100 + 0.182052i 0.753553 0.657387i \(-0.228338\pi\)
−0.543454 + 0.839439i \(0.682884\pi\)
\(294\) 5.37741 + 13.6433i 0.313617 + 0.795693i
\(295\) 26.6152 + 12.1547i 1.54960 + 0.707676i
\(296\) 7.31610 0.931451i 0.425240 0.0541395i
\(297\) −6.75258 0.000748072i −0.391824 4.34075e-5i
\(298\) 8.91938 + 11.1005i 0.516686 + 0.643037i
\(299\) 14.7702 2.84672i 0.854182 0.164630i
\(300\) −1.16946 11.6175i −0.0675189 0.670735i
\(301\) 2.84197 11.7148i 0.163809 0.675228i
\(302\) 0.662596 7.80213i 0.0381281 0.448962i
\(303\) 25.3442 + 5.30210i 1.45599 + 0.304598i
\(304\) 16.5671 + 15.9776i 0.950191 + 0.916380i
\(305\) −12.3593 + 7.13566i −0.707692 + 0.408586i
\(306\) 0.473682 22.3598i 0.0270786 1.27822i
\(307\) 4.17534 + 1.44510i 0.238300 + 0.0824763i 0.443608 0.896221i \(-0.353698\pi\)
−0.205308 + 0.978697i \(0.565820\pi\)
\(308\) −2.59667 0.317963i −0.147959 0.0181176i
\(309\) 2.08269 + 9.21957i 0.118480 + 0.524483i
\(310\) −4.66786 2.93120i −0.265116 0.166481i
\(311\) 17.1982 11.0526i 0.975219 0.626735i 0.0470494 0.998893i \(-0.485018\pi\)
0.928170 + 0.372157i \(0.121382\pi\)
\(312\) −13.8256 + 22.2695i −0.782719 + 1.26076i
\(313\) 4.20846 + 29.2705i 0.237876 + 1.65446i 0.662476 + 0.749083i \(0.269506\pi\)
−0.424600 + 0.905381i \(0.639585\pi\)
\(314\) 0.898127 0.874511i 0.0506843 0.0493515i
\(315\) 8.30039 + 2.72543i 0.467674 + 0.153561i
\(316\) −12.2104 + 24.9554i −0.686889 + 1.40385i
\(317\) −2.38069 0.113406i −0.133713 0.00636953i −0.0193812 0.999812i \(-0.506170\pi\)
−0.114332 + 0.993443i \(0.536473\pi\)
\(318\) −3.50255 + 23.4685i −0.196413 + 1.31605i
\(319\) 0.254147 + 0.180977i 0.0142295 + 0.0101328i
\(320\) −21.6165 8.27329i −1.20840 0.462491i
\(321\) −5.00109 + 11.9408i −0.279134 + 0.666469i
\(322\) −3.99904 0.148520i −0.222858 0.00827670i
\(323\) −9.92074 28.6641i −0.552005 1.59491i
\(324\) 11.0526 14.2070i 0.614034 0.789280i
\(325\) 14.1762 11.1483i 0.786354 0.618396i
\(326\) −35.4084 4.71284i −1.96109 0.261020i
\(327\) −4.29153 + 5.28284i −0.237322 + 0.292142i
\(328\) 2.86961 7.87686i 0.158448 0.434927i
\(329\) −0.919851 9.63312i −0.0507131 0.531091i
\(330\) 6.69924 6.31961i 0.368781 0.347883i
\(331\) 5.33440 + 10.3473i 0.293205 + 0.568739i 0.988720 0.149773i \(-0.0478542\pi\)
−0.695515 + 0.718511i \(0.744824\pi\)
\(332\) −0.00222638 0.0134740i −0.000122189 0.000739482i
\(333\) −4.33354 6.51249i −0.237477 0.356882i
\(334\) −4.16744 26.9756i −0.228032 1.47604i
\(335\) −23.6487 + 1.25242i −1.29207 + 0.0684271i
\(336\) 4.91976 4.94227i 0.268395 0.269623i
\(337\) 3.46237 + 14.2721i 0.188607 + 0.777449i 0.984984 + 0.172648i \(0.0552323\pi\)
−0.796377 + 0.604801i \(0.793253\pi\)
\(338\) −22.1005 + 0.231578i −1.20211 + 0.0125962i
\(339\) −7.74386 + 5.89387i −0.420589 + 0.320111i
\(340\) 20.4537 + 22.6287i 1.10925 + 1.22722i
\(341\) −0.166408 1.74270i −0.00901148 0.0943725i
\(342\) 7.37238 23.2728i 0.398653 1.25845i
\(343\) 9.87903 8.56022i 0.533417 0.462209i
\(344\) 33.3610 5.87216i 1.79871 0.316606i
\(345\) 9.39303 10.4996i 0.505704 0.565280i
\(346\) −0.861728 + 0.0501037i −0.0463268 + 0.00269359i
\(347\) 3.55954 + 10.2846i 0.191086 + 0.552107i 0.999325 0.0367482i \(-0.0116999\pi\)
−0.808238 + 0.588855i \(0.799579\pi\)
\(348\) −0.796779 + 0.238399i −0.0427118 + 0.0127795i
\(349\) 7.36480 + 4.73307i 0.394228 + 0.253355i 0.722705 0.691157i \(-0.242899\pi\)
−0.328476 + 0.944512i \(0.606535\pi\)
\(350\) −4.34326 + 2.03877i −0.232157 + 0.108977i
\(351\) 27.6766 + 2.63970i 1.47727 + 0.140897i
\(352\) −2.10486 7.04350i −0.112189 0.375420i
\(353\) −26.2268 1.24933i −1.39591 0.0664954i −0.663916 0.747807i \(-0.731107\pi\)
−0.731993 + 0.681312i \(0.761410\pi\)
\(354\) −22.4780 10.4111i −1.19469 0.553343i
\(355\) 0.00814803 0.0103611i 0.000432452 0.000549908i
\(356\) 14.3443 19.0486i 0.760246 1.00957i
\(357\) −8.73115 + 2.86794i −0.462102 + 0.151788i
\(358\) 10.1287 + 17.1265i 0.535320 + 0.905164i
\(359\) −6.44684 + 4.14313i −0.340251 + 0.218666i −0.699596 0.714539i \(-0.746637\pi\)
0.359345 + 0.933205i \(0.383000\pi\)
\(360\) 2.32808 + 24.4390i 0.122701 + 1.28805i
\(361\) −0.671365 14.0937i −0.0353350 0.741773i
\(362\) −3.95781 1.11721i −0.208018 0.0587192i
\(363\) −15.9250 2.54758i −0.835846 0.133713i
\(364\) 10.5184 + 2.31948i 0.551312 + 0.121574i
\(365\) 19.4814 11.2476i 1.01970 0.588726i
\(366\) 10.4960 5.98522i 0.548636 0.312852i
\(367\) 9.79947 24.4779i 0.511528 1.27774i −0.417819 0.908530i \(-0.637205\pi\)
0.929348 0.369206i \(-0.120370\pi\)
\(368\) −4.11999 10.4633i −0.214769 0.545438i
\(369\) −8.83696 + 0.986206i −0.460034 + 0.0513399i
\(370\) 10.3940 + 2.40652i 0.540356 + 0.125109i
\(371\) 9.57424 1.84528i 0.497070 0.0958024i
\(372\) 3.93864 + 2.50277i 0.204209 + 0.129763i
\(373\) −13.5683 + 23.5009i −0.702539 + 1.21683i 0.265034 + 0.964239i \(0.414617\pi\)
−0.967573 + 0.252593i \(0.918717\pi\)
\(374\) −1.73368 + 9.53155i −0.0896464 + 0.492865i
\(375\) −2.05035 + 7.90346i −0.105880 + 0.408133i
\(376\) 23.7662 13.2139i 1.22565 0.681453i
\(377\) −0.970825 0.841224i −0.0500000 0.0433253i
\(378\) −7.01496 2.34502i −0.360810 0.120615i
\(379\) 3.41562 + 8.53181i 0.175449 + 0.438250i 0.989861 0.142036i \(-0.0453650\pi\)
−0.814413 + 0.580286i \(0.802941\pi\)
\(380\) 14.4631 + 29.9902i 0.741940 + 1.53847i
\(381\) −7.72999 7.60774i −0.396019 0.389756i
\(382\) 17.6219 31.2742i 0.901613 1.60013i
\(383\) 20.0163 + 19.0855i 1.02278 + 0.975223i 0.999700 0.0245105i \(-0.00780271\pi\)
0.0230849 + 0.999734i \(0.492651\pi\)
\(384\) 18.2635 + 7.10231i 0.932008 + 0.362438i
\(385\) −3.36372 1.73412i −0.171431 0.0883788i
\(386\) 15.7350 + 7.90439i 0.800891 + 0.402323i
\(387\) −21.3045 28.9307i −1.08297 1.47063i
\(388\) −11.2899 3.05957i −0.573159 0.155326i
\(389\) −0.958839 + 4.97493i −0.0486151 + 0.252239i −0.998103 0.0615643i \(-0.980391\pi\)
0.949488 + 0.313803i \(0.101603\pi\)
\(390\) −29.9310 + 23.2799i −1.51562 + 1.17882i
\(391\) −1.40870 + 14.7525i −0.0712408 + 0.746067i
\(392\) 15.2875 + 7.28248i 0.772134 + 0.367821i
\(393\) 2.76712 24.8199i 0.139583 1.25200i
\(394\) 19.3414 + 16.4078i 0.974404 + 0.826611i
\(395\) −29.0870 + 27.7344i −1.46352 + 1.39547i
\(396\) −5.70037 + 5.31998i −0.286454 + 0.267339i
\(397\) 2.92001 + 6.39392i 0.146551 + 0.320902i 0.968645 0.248450i \(-0.0799213\pi\)
−0.822094 + 0.569352i \(0.807194\pi\)
\(398\) −16.4360 + 11.9655i −0.823860 + 0.599776i
\(399\) −10.0265 + 0.318652i −0.501954 + 0.0159525i
\(400\) −10.1390 8.88697i −0.506950 0.444349i
\(401\) 36.5727i 1.82635i 0.407564 + 0.913177i \(0.366378\pi\)
−0.407564 + 0.913177i \(0.633622\pi\)
\(402\) 20.0273 0.953179i 0.998869 0.0475402i
\(403\) 7.20781i 0.359046i
\(404\) 25.5740 15.4886i 1.27235 0.770585i
\(405\) 22.1238 13.7316i 1.09934 0.682329i
\(406\) 0.201142 + 0.276291i 0.00998251 + 0.0137121i
\(407\) 1.40766 + 3.08234i 0.0697749 + 0.152786i
\(408\) −17.2140 19.2507i −0.852221 0.953052i
\(409\) 12.1379 11.5735i 0.600180 0.572271i −0.327871 0.944722i \(-0.606331\pi\)
0.928052 + 0.372452i \(0.121483\pi\)
\(410\) 7.84521 9.24790i 0.387448 0.456721i
\(411\) −30.1752 3.36417i −1.48843 0.165942i
\(412\) 9.02106 + 6.14311i 0.444436 + 0.302649i
\(413\) −0.967600 + 10.1332i −0.0476125 + 0.498620i
\(414\) −7.99994 + 8.84666i −0.393175 + 0.434789i
\(415\) 0.00373881 0.0193988i 0.000183531 0.000952249i
\(416\) 5.87041 + 29.6925i 0.287820 + 1.45579i
\(417\) 22.5769 11.1905i 1.10560 0.547999i
\(418\) −4.74699 + 9.44969i −0.232183 + 0.462199i
\(419\) 10.0967 + 5.20521i 0.493256 + 0.254291i 0.686861 0.726788i \(-0.258988\pi\)
−0.193606 + 0.981079i \(0.562018\pi\)
\(420\) 9.15468 4.23765i 0.446703 0.206776i
\(421\) 9.96887 + 9.50529i 0.485853 + 0.463260i 0.892970 0.450116i \(-0.148617\pi\)
−0.407117 + 0.913376i \(0.633466\pi\)
\(422\) 23.8604 + 13.4444i 1.16150 + 0.654465i
\(423\) −23.7578 16.3535i −1.15514 0.795133i
\(424\) 15.5302 + 22.5727i 0.754215 + 1.09623i
\(425\) 6.60371 + 16.4953i 0.320327 + 0.800138i
\(426\) −0.00694526 + 0.00873500i −0.000336499 + 0.000423212i
\(427\) −3.75227 3.25136i −0.181585 0.157344i
\(428\) 5.18411 + 14.0208i 0.250583 + 0.677720i
\(429\) −11.6574 3.02422i −0.562825 0.146011i
\(430\) 48.2110 + 8.76903i 2.32494 + 0.422880i
\(431\) 0.818229 1.41721i 0.0394127 0.0682648i −0.845646 0.533744i \(-0.820785\pi\)
0.885059 + 0.465479i \(0.154118\pi\)
\(432\) −1.86028 20.7012i −0.0895028 0.995987i
\(433\) −6.22065 + 1.19893i −0.298946 + 0.0576170i −0.336519 0.941677i \(-0.609249\pi\)
0.0375729 + 0.999294i \(0.488037\pi\)
\(434\) 0.432535 1.86816i 0.0207623 0.0896743i
\(435\) −1.20069 0.0762615i −0.0575687 0.00365646i
\(436\) 0.538375 + 7.84077i 0.0257835 + 0.375505i
\(437\) −6.01222 + 15.0178i −0.287603 + 0.718399i
\(438\) −16.5444 + 9.43421i −0.790521 + 0.450784i
\(439\) 1.77590 1.02532i 0.0847592 0.0489357i −0.457021 0.889456i \(-0.651084\pi\)
0.541781 + 0.840520i \(0.317750\pi\)
\(440\) 0.677649 10.6128i 0.0323056 0.505943i
\(441\) −0.286289 17.9583i −0.0136328 0.855159i
\(442\) 10.8361 38.3878i 0.515420 1.82592i
\(443\) −1.63584 34.3406i −0.0777213 1.63157i −0.615255 0.788328i \(-0.710947\pi\)
0.537534 0.843242i \(1.68064\pi\)
\(444\) −8.78887 2.08451i −0.417101 0.0989265i
\(445\) 29.0189 18.6493i 1.37563 0.884064i
\(446\) 15.5728 9.20983i 0.737391 0.436098i
\(447\) −5.44259 16.5694i −0.257426 0.783705i
\(448\) 0.260300 8.04812i 0.0122980 0.380238i
\(449\) 4.13689 5.26048i 0.195232 0.248257i −0.678575 0.734532i \(-0.737402\pi\)
0.873806 + 0.486274i \(0.161644\pi\)
\(450\) −3.66502 + 13.8227i −0.172771 + 0.651609i
\(451\) 3.84738 + 0.183273i 0.181166 + 0.00863000i
\(452\) −1.89496 + 11.0762i −0.0891316 + 0.520981i
\(453\) −4.12142 + 8.65923i −0.193641 + 0.406846i
\(454\) −6.78101 14.4458i −0.318249 0.677977i
\(455\) 13.1080 + 8.42397i 0.614510 + 0.394922i
\(456\) −12.1089 25.4560i −0.567051 1.19209i
\(457\) −0.536866 1.55117i −0.0251135 0.0725608i 0.931747 0.363107i \(-0.118284\pi\)
−0.956861 + 0.290546i \(0.906163\pi\)
\(458\) −1.75994 30.2690i −0.0822366 1.41438i
\(459\) −10.1775 + 25.4302i −0.475043 + 1.18698i
\(460\) −0.340875 16.2638i −0.0158934 0.758304i
\(461\) −18.8190 + 16.3067i −0.876487 + 0.759481i −0.971760 0.235971i \(-0.924173\pi\)
0.0952728 + 0.995451i \(0.469628\pi\)
\(462\) 2.83995 + 1.48339i 0.132126 + 0.0690133i
\(463\) −3.72874 39.0491i −0.173289 1.81477i −0.496060 0.868288i \(-0.665220\pi\)
0.322771 0.946477i \(1.60461\pi\)
\(464\) −0.484893 + 0.828935i −0.0225106 + 0.0384823i
\(465\) 4.08845 + 5.37175i 0.189598 + 0.249109i
\(466\) 0.0656800 + 6.26814i 0.00304257 + 0.290366i
\(467\) 8.27046 + 34.0913i 0.382711 + 1.57756i 0.759023 + 0.651064i \(0.225677\pi\)
−0.376311 + 0.926493i \(0.622808\pi\)
\(468\) 25.4458 19.5737i 1.17623 0.904793i
\(469\) −3.10266 7.63236i −0.143267 0.352430i
\(470\) 38.8757 6.00589i 1.79320 0.277031i
\(471\) −1.40647 + 0.615595i −0.0648065 + 0.0283651i
\(472\) −27.1787 + 8.91733i −1.25100 + 0.410453i
\(473\) 7.13162 + 13.8334i 0.327912 + 0.636061i
\(474\) 24.7514 23.3488i 1.13687 1.07245i
\(475\) 1.84360 + 19.3071i 0.0845903 + 0.885870i
\(476\) −5.11217 + 9.29928i −0.234316 + 0.426232i
\(477\) 14.1276 25.3962i 0.646859 1.16281i
\(478\) −2.83479 + 21.2983i −0.129660 + 0.974162i
\(479\) −17.7398 + 13.9507i −0.810550 + 0.637424i −0.934938 0.354810i \(-0.884546\pi\)
0.124388 + 0.992234i \(0.460303\pi\)
\(480\) 21.2174 + 18.7990i 0.968436 + 0.858054i
\(481\) −4.56312 13.1843i −0.208060 0.601151i
\(482\) −0.909441 + 24.4875i −0.0414239 + 1.11538i
\(483\) 4.52070 + 1.89338i 0.205699 + 0.0861518i
\(484\) −15.4518 + 10.3941i −0.702353 + 0.472459i
\(485\) −13.7835 9.81521i −0.625878 0.445686i
\(486\) −18.7928 + 11.5253i −0.852458 + 0.522796i
\(487\) 16.3986 + 0.781159i 0.743089 + 0.0353977i 0.415712 0.909496i \(-0.363532\pi\)
0.327377 + 0.944894i \(0.393835\pi\)
\(488\) 4.14656 13.3214i 0.187706 0.603029i
\(489\) 38.5632 + 20.6598i 1.74389 + 0.934270i
\(490\) 17.0890 + 17.5505i 0.772001 + 0.792849i
\(491\) −2.36174 16.4263i −0.106584 0.741308i −0.971095 0.238694i \(-0.923281\pi\)
0.864511 0.502614i \(1.83237\pi\)
\(492\) −6.68385 + 7.79394i −0.301331 + 0.351378i
\(493\) 1.06468 0.684231i 0.0479510 0.0308162i
\(494\) 23.1545 36.8729i 1.04177 1.65899i
\(495\) −10.4033 + 4.35853i −0.467595 + 0.195901i
\(496\) 5.29681 0.989664i 0.237834 0.0444372i
\(497\) 0.00433348 + 0.00149983i 0.000194383 + 6.72767e-5i
\(498\) −0.00325326 + 0.0164065i −0.000145782 + 0.000735195i
\(499\) −18.7413 + 10.8203i −0.838975 + 0.484382i −0.856916 0.515457i \(-0.827622\pi\)
0.0179408 + 0.999839i \(0.494289\pi\)
\(500\) 4.49492 + 8.28777i 0.201019 + 0.370641i
\(501\) −6.84550 + 32.7217i −0.305834 + 1.46190i
\(502\) 20.0120 + 1.69952i 0.893181 + 0.0758534i
\(503\) −2.30018 + 9.48146i −0.102560 + 0.422757i −0.999824 0.0187357i \(-0.994036\pi\)
0.897265 + 0.441493i \(0.145551\pi\)
\(504\) −7.76977 + 3.54622i −0.346093 + 0.157961i
\(505\) 42.4697 8.18536i 1.88988 0.364244i
\(506\) 4.02760 3.23621i 0.179049 0.143867i
\(507\) 25.4368 + 9.25719i 1.12969 + 0.411126i
\(508\) −12.5192 0.333638i −0.555448 0.0148028i
\(509\) −18.4023 8.40404i −0.815667 0.372503i −0.0365114 0.999333i \(-0.511625\pi\)
−0.779156 + 0.626831i \(0.784352\pi\)
\(510\) −13.6987 34.7557i −0.606591 1.53901i
\(511\) 5.91453 + 5.12497i 0.261643 + 0.226715i
\(512\) 21.0141 8.39090i 0.928701 0.370829i
\(513\) −18.4798 + 23.5044i −0.815905 + 1.03774i
\(514\) −2.37610 7.78937i −0.104805 0.343574i
\(515\) 9.15813 + 12.8608i 0.403556 + 0.566715i
\(516\) −40.7769 7.64251i −1.79510 0.336443i
\(517\) 9.04218 + 8.62170i 0.397675 + 0.379182i
\(518\) 0.391515 + 3.69099i 0.0172022 + 0.162173i
\(519\) 1.00951 + 0.313861i 0.0443128 + 0.0137770i
\(520\) −6.93097 + 43.2325i −0.303943 + 1.89587i
\(521\) −10.3531 35.2595i −0.453579 1.54475i −0.796057 0.605222i \(-0.793084\pi\)
0.342477 0.939526i \(-0.388734\pi\)
\(522\) 1.01619 + 0.0700051i 0.0444773 + 0.00306404i
\(523\) −1.82994 + 9.49464i −0.0800177 + 0.415171i 0.919727 + 0.392560i \(0.128410\pi\)
−0.999744 + 0.0226119i \(0.992802\pi\)
\(524\) −17.2157 23.1344i −0.752073 1.01063i
\(525\) 5.85778 0.465911i 0.255655 0.0203340i
\(526\) 5.68395 + 5.30705i 0.247832 + 0.231398i
\(527\) −6.81359 2.00065i −0.296805 0.0871497i
\(528\) −0.621799 + 8.98194i −0.0270603 + 0.390889i
\(529\) −10.9259 + 10.4178i −0.475038 + 0.452948i
\(530\) 9.74755 + 38.4184i 0.423407 + 1.66879i
\(531\) 21.2839 + 21.6211i 0.923641 + 0.938275i
\(532\) −8.21402 + 8.16743i −0.356123 + 0.354103i
\(533\) −15.6973 2.25693i −0.679924 0.0977583i
\(534\) −24.6526 + 15.6575i −1.06682 + 0.677566i
\(535\) 21.6245i 0.934909i
\(536\) 16.1574 16.5812i 0.697895 0.716200i
\(537\) −4.23257 23.9989i −0.182649 1.03563i
\(538\) −6.88069 16.6785i −0.296648 0.719061i
\(539\) −1.10723 + 7.70096i −0.0476918 + 0.331704i
\(540\) 7.86127 29.0212i 0.338295 1.24887i
\(541\) 16.5447 + 36.2278i 0.711312 + 1.55756i 0.825694 + 0.564119i \(0.190784\pi\)
−0.114382 + 0.993437i \(0.536489\pi\)
\(542\) −19.3550 + 4.91077i −0.831369 + 0.210935i
\(543\) 4.05603 + 2.98616i 0.174061 + 0.128149i
\(544\) −29.6979 2.69232i −1.27329 0.115432i
\(545\) −3.20307 + 10.9087i −0.137204 + 0.467275i
\(546\) −11.0593 7.19132i −0.473296 0.307760i
\(547\) 2.88352 30.1976i 0.123291 1.29116i −0.696110 0.717935i \(-0.745087\pi\)
0.819400 0.573222i \(-0.194307\pi\)
\(548\) −28.1260 + 20.9303i −1.20148 + 0.894098i
\(549\) −14.6121 + 2.33920i −0.623627 + 0.0998347i
\(550\) 2.51415 5.66146i 0.107204 0.241405i
\(551\) 1.32551 0.389206i 0.0564688 0.0165807i
\(552\) 0.214903 + 13.7709i 0.00914687 + 0.586127i
\(553\) −12.4278 6.40696i −0.528483 0.272452i
\(554\) 21.2819 2.25743i 0.904180 0.0959090i
\(555\) −10.8792 7.23751i −0.461797 0.307215i
\(556\) 10.2456 27.2327i 0.434510 1.15492i
\(557\) 22.1315 15.7598i 0.937743 0.667764i −0.00545863 0.999985i \(-0.501738\pi\)
0.943201 + 0.332221i \(0.107798\pi\)
\(558\) −3.43704 4.56638i −0.145502 0.193310i
\(559\) −23.8159 59.4892i −1.00730 2.51612i
\(560\) 4.39075 10.7893i 0.185543 0.455931i
\(561\) 6.09454 10.1804i 0.257312 0.429817i
\(562\) 0.435291 + 2.13772i 0.0183616 + 0.0901744i
\(563\) 0.589874 1.29164i 0.0248602 0.0544363i −0.896795 0.442447i \(-0.854110\pi\)
0.921655 + 0.388011i \(0.126838\pi\)
\(564\) −32.9403 + 4.90859i −1.38704 + 0.206689i
\(565\) −8.12783 + 14.0778i −0.341941 + 0.592258i
\(566\) 4.03363 + 5.02003i 0.169546 + 0.211007i
\(567\) 7.03185 + 5.71106i 0.295310 + 0.239842i
\(568\) 0.00101737 + 0.0128458i 4.26880e−5 + 0.000538997i
\(569\) 37.6172 + 9.12583i 1.57699 + 0.382575i 0.926307 0.376771i \(-0.122966\pi\)
0.650688 + 0.759345i \(0.274481\pi\)
\(570\) −3.65895 40.6141i −0.153257 1.70114i
\(571\) −11.1163 + 27.7671i −0.465201 + 1.16202i 0.491483 + 0.870887i \(0.336455\pi\)
−0.956684 + 0.291129i \(0.905969\pi\)
\(572\) −12.2243 + 6.62990i −0.511123 + 0.277210i
\(573\) −33.6780 + 28.2613i −1.40692 + 1.18063i
\(574\) 3.93306 + 1.52694i 0.164163 + 0.0637333i
\(575\) 3.09925 8.95470i 0.129248 0.373437i
\(576\) −17.8779 16.0118i −0.744915 0.667160i
\(577\) −0.235240 4.93829i −0.00979316 0.205584i −0.998461 0.0554625i \(-0.982337\pi\)
0.988668 0.150121i \(-0.0479664\pi\)
\(578\) 12.9203 + 8.11337i 0.537415 + 0.337472i
\(579\) −14.6335 15.8419i −0.608148 0.658366i
\(580\) −1.07377 + 0.881459i −0.0445860 + 0.0366006i
\(581\) 0.00680306 0.000978132i 0.000282238 4.05798e-5i
\(582\) 11.6250 + 8.37225i 0.481872 + 0.347041i
\(583\) −7.78181 + 9.89538i −0.322290 + 0.409825i
\(584\) −6.53602 + 20.9978i −0.270463 + 0.868896i
\(585\) 44.3452 13.7924i 1.83345 0.570247i
\(586\) −6.38229 2.13432i −0.263650 0.0881678i
\(587\) 3.45236 4.84815i 0.142494 0.200105i −0.737161 0.675717i \(-0.763834\pi\)
0.879655 + 0.475612i \(0.157773\pi\)
\(588\) −14.3884 14.9361i −0.593368 0.615953i
\(589\) −6.52094 4.19075i −0.268691 0.172677i
\(590\) −41.3504 1.53571i −1.70237 0.0632241i
\(591\) −15.1041 27.1445i −0.621299 1.11657i
\(592\) −9.06221 + 5.16357i −0.372454 + 0.212221i
\(593\) −17.6777 22.4791i −0.725938 0.923105i 0.273308 0.961926i \(-0.411882\pi\)
−0.999246 + 0.0388216i \(0.987640\pi\)
\(594\) 8.82745 3.64290i 0.362195 0.149470i
\(595\) −11.6016 + 10.0528i −0.475618 + 0.412126i
\(596\) −17.6475 9.70153i −0.722871 0.397390i
\(597\) 23.9987 6.63587i 0.982200 0.271588i
\(598\) −17.7742 + 11.6877i −0.726841 + 0.477947i
\(599\) 26.0372 13.4231i 1.06385 0.548453i 0.164813 0.986325i \(-0.447298\pi\)
0.899038 + 0.437871i \(0.144267\pi\)
\(600\) 7.79462 + 14.5572i 0.318214 + 0.594293i
\(601\) −8.22781 33.9155i −0.335619 1.38344i −0.850407 0.526125i \(-0.823644\pi\)
0.514788 0.857318i \(-0.327871\pi\)
\(602\) 2.60282 + 16.8479i 0.106083 + 0.686668i
\(603\) −23.3709 7.53660i −0.951737 0.306914i
\(604\) 3.34175 + 10.5573i 0.135974 + 0.429572i
\(605\) −26.1798 + 6.35116i −1.06436 + 0.258211i
\(606\) −35.9929 + 6.73750i −1.46211 + 0.273692i
\(607\) 6.03189 + 11.7002i 0.244827 + 0.474898i 0.978945 0.204124i \(-0.0654345\pi\)
−0.734118 + 0.679022i \(0.762404\pi\)
\(608\) −30.2761 11.9528i −1.22786 0.484749i
\(609\) −0.111550 0.403421i −0.00452024 0.0163475i
\(610\) 12.3092 15.9945i 0.498385 0.647599i
\(611\) −33.6863 38.8760i −1.36280 1.57276i
\(612\) 11.4402 + 29.4871i 0.462443 + 1.19195i
\(613\) −30.6279 + 24.0861i −1.23705 + 0.972828i −0.237052 + 0.971497i \(0.576181\pi\)
−0.999999 + 0.00133076i \(0.999576\pi\)
\(614\) −6.23796 + 0.362695i −0.251743 + 0.0146372i
\(615\) −12.9789 + 7.22188i −0.523358 + 0.291214i
\(616\) 3.56620 0.984801i 0.143686 0.0396788i
\(617\) 26.0634 40.5554i 1.04927 1.63270i 0.321463 0.946922i \(-0.395825\pi\)
0.727810 0.685779i \(-0.240538\pi\)
\(618\) −7.69522 10.9298i −0.309547 0.439659i
\(619\) 21.8493 + 15.5588i 0.878199 + 0.625363i 0.927665 0.373413i \(-0.121813\pi\)
−0.0494661 + 0.998776i \(0.515752\pi\)
\(620\) 7.68334 + 1.31450i 0.308570 + 0.0527914i
\(621\) 12.9834 6.69521i 0.521004 0.268669i
\(622\) −16.5226 + 23.7250i −0.662497 + 0.951287i
\(623\) 9.43320 + 7.41835i 0.377933 + 0.297210i
\(624\) 6.06380 36.5703i 0.242746 1.46398i
\(625\) 4.33947 + 30.1816i 0.173579 + 1.20727i
\(626\) −21.2885 35.9964i −0.850860 1.43871i
\(627\) 9.51387 8.78818i 0.379947 0.350966i
\(628\) −0.702493 + 1.62767i −0.0280325 + 0.0649511i
\(629\) 13.7298 0.654029i 0.547441 0.0260778i
\(630\) −12.3213 + 0.913671i −0.490892 + 0.0364015i
\(631\) 16.7654 + 5.80255i 0.667418 + 0.230996i 0.639705 0.768620i \(-0.279056\pi\)
0.0277130 + 0.999616i \(0.491178\pi\)
\(632\) 2.50368 39.2105i 0.0995910 1.55971i
\(633\) −21.5617 25.6943i −0.857001 1.02126i
\(634\) 3.17351 1.13574i 0.126036 0.0451058i
\(635\) −16.8189 6.73328i −0.667439 0.267202i
\(636\) −8.07844 32.5701i −0.320331 1.29149i
\(637\) 7.55207 31.1300i 0.299224 1.23342i
\(638\) −0.429862 0.0995261i −0.0170184 0.00394028i
\(639\) 0.0117261 0.00702164i 0.000463878 0.000277772i
\(640\) 32.7220 0.842653i 1.29345 0.0333088i
\(641\) −1.91883 1.10784i −0.0757894 0.0437570i 0.461626 0.887074i \(-0.347266\pi\)
−0.537416 + 0.843317i \(0.680599\pi\)
\(642\) 0.0979787 18.3078i 0.00386691 0.722552i
\(643\) 0.0925111 + 0.0422484i 0.00364828 + 0.00166611i 0.417238 0.908797i \(-0.362998\pi\)
−0.413590 + 0.910463i \(0.635725\pi\)
\(644\) 5.30817 1.96267i 0.209171 0.0773400i
\(645\) −51.4930 30.8264i −2.02754 1.21379i
\(646\) 28.4293 + 32.1228i 1.11854 + 1.26386i
\(647\) −44.2628 + 17.7202i −1.74015 + 0.696652i −0.740453 + 0.672108i \(0.765389\pi\)
−0.999699 + 0.0245437i \(0.992187\pi\)
\(648\) −6.78703 + 24.5344i −0.266620 + 0.963802i
\(649\) −7.62330 10.7054i −0.299241 0.420225i
\(650\) −12.5203 + 22.2203i −0.491086 + 0.871550i
\(651\) −1.30083 + 1.95537i −0.0509836 + 0.0766370i
\(652\) 48.8324 12.9359i 1.91242 0.506607i
\(653\) −8.88634 + 17.2371i −0.347749 + 0.674539i −0.996236 0.0866869i \(-0.972372\pi\)
0.648486 + 0.761226i \(0.275402\pi\)
\(654\) 2.76122 9.22101i 0.107972 0.360570i
\(655\) −11.7527 40.0261i −0.459217 1.56395i
\(656\) 0.496754 + 11.8454i 0.0193950 + 0.462483i
\(657\) 23.0323 3.68717i 0.898575 0.143850i
\(658\) 6.39806 + 12.0976i 0.249422 + 0.471612i
\(659\) 14.8088 + 1.41407i 0.576870 + 0.0550844i 0.379414 0.925227i \(-0.376126\pi\)
0.197457 + 0.980312i \(0.436732\pi\)
\(660\) −5.34972 + 11.8750i −0.208238 + 0.462233i
\(661\) 16.0791 + 4.72126i 0.625405 + 0.183636i 0.579053 0.815290i \(-0.303422\pi\)
0.0463519 + 0.998925i \(0.485240\pi\)
\(662\) −12.5545 10.6503i −0.487945 0.413935i
\(663\) −28.9636 + 39.3405i −1.12485 + 1.52786i
\(664\) 0.0101777 + 0.0164142i 0.000394970 + 0.000636995i
\(665\) −15.2424 + 6.96097i −0.591075 + 0.269935i
\(666\) 9.17781 + 6.17674i 0.355633 + 0.239344i
\(667\) −0.668084 0.0960559i −0.0258683 0.00371930i
\(668\) 19.9972 + 33.0183i 0.773713 + 1.27752i
\(669\) −21.8217 + 3.84858i −0.843675 + 0.148795i
\(670\) 30.2413 14.3920i 1.16832 0.556011i
\(671\) 6.41022 0.247464
\(672\) −3.76620 + 9.11459i −0.145284 + 0.351603i
\(673\) −4.08726 + 28.4275i −0.157552 + 1.09580i 0.745573 + 0.666424i \(0.232176\pi\)
−0.903125 + 0.429377i \(0.858733\pi\)
\(674\) −12.2239 16.7909i −0.470848 0.646763i
\(675\) 10.1577 14.2678i 0.390970 0.549169i
\(676\) 28.7678 12.2224i 1.10645 0.470091i
\(677\) 8.60559 + 9.02528i 0.330740 + 0.346870i 0.868016 0.496537i \(-0.165395\pi\)
−0.537276 + 0.843406i \(0.680547\pi\)
\(678\) 6.94500 11.8818i 0.266721 0.456318i
\(679\) 1.65851 5.64838i 0.0636479 0.216765i
\(680\) −38.9442 18.5518i −1.49344 0.711430i
\(681\) 1.54964 + 19.4832i 0.0593823 + 0.746598i
\(682\) 1.15745 + 2.18854i 0.0443212 + 0.0838033i
\(683\) 20.0702 + 3.86821i 0.767964 + 0.148013i 0.558163 0.829731i \(-0.311506\pi\)
0.209801 + 0.977744i \(0.432718\pi\)
\(684\) 2.91373 + 34.4014i 0.111409 + 1.31537i
\(685\) −48.6623 + 14.2885i −1.85929 + 0.545937i
\(686\) −8.29831 + 16.5192i −0.316831 + 0.630705i
\(687\) −11.0247 + 35.4601i −0.420617 + 1.35289i
\(688\) −40.4468 + 25.6697i −1.54202 + 0.978649i
\(689\) 35.7676 37.5119i 1.36264 1.42909i
\(690\) −6.61697 + 18.7925i −0.251904 + 0.715417i
\(691\) 14.6673 10.4446i 0.557971 0.397329i −0.265990 0.963976i \(-0.585699\pi\)
0.823961 + 0.566646i \(0.191759\pi\)
\(692\) 1.09954 0.530265i 0.0417983 0.0201576i
\(693\) −2.61669 2.92430i −0.0993997 0.111085i
\(694\) −10.2004 11.5256i −0.387201 0.437506i
\(695\) 27.5635 31.8100i 1.04554 1.20662i
\(696\) 0.913077 0.741399i 0.0346101 0.0281027i
\(697\) 6.49053 14.2123i 0.245846 0.538329i
\(698\) −12.1809 2.21557i −0.461056 0.0838607i
\(699\) 2.62552 7.21439i 0.0993063 0.272873i
\(700\) 4.57849 5.00782i 0.173051 0.189278i
\(701\) 5.46761 + 28.3687i 0.206509 + 1.07147i 0.926159 + 0.377133i \(0.123090\pi\)
−0.719650 + 0.694337i \(0.755698\pi\)
\(702\) −37.6062 + 11.4761i −1.41935 + 0.433137i
\(703\) 14.5810 + 3.53730i 0.549931 + 0.133412i
\(704\) 6.55057 + 8.07295i 0.246884 + 0.304261i
\(705\) −47.1568 9.86537i −1.77603 0.371551i
\(706\) 34.9609 12.5118i 1.31577 0.470887i
\(707\) 7.52353 + 13.0311i 0.282952 + 0.490086i
\(708\) 35.0012 + 1.48752i 1.31543 + 0.0559045i
\(709\) −2.54014 + 7.33925i −0.0953969 + 0.275631i −0.982596 0.185756i \(-0.940527\pi\)
0.887199 + 0.461387i \(0.152648\pi\)
\(710\) −0.00506406 + 0.0179399i −0.000190051 + 0.000673272i
\(711\) −38.4367 + 16.1033i −1.44149 + 0.603919i
\(712\) −8.47913 + 32.6392i −0.317769 + 1.22321i
\(713\) 2.04750 + 3.18597i 0.0766793 + 0.119315i
\(714\) 9.86772 8.45839i 0.369290 0.316547i
\(715\) −19.9123 + 2.86295i −0.744677 + 0.107068i
\(716\) −22.4786 16.9272i −0.840064 0.632600i
\(717\) 12.4270 23.1959i 0.464094 0.866268i
\(718\) 6.19361 8.89347i 0.231143 0.331901i
\(719\) 1.88108 39.4888i 0.0701526 1.47268i −0.639858 0.768493i \(-0.721007\pi\)
0.710011 0.704191i \(-0.248690\pi\)
\(720\) −16.2245 30.6943i −0.604650 1.14391i
\(721\) −3.18610 + 4.47425i −0.118657 + 0.166630i
\(722\) 8.47895 + 18.0630i 0.315554 + 0.672236i
\(723\) 11.5938 27.6818i 0.431179 1.02950i
\(724\) 5.77672 0.674033i 0.214690 0.0250503i
\(725\) −0.764730 + 0.264676i −0.0284013 + 0.00982980i
\(726\) 22.1933 5.25843i 0.823669 0.195159i
\(727\) 26.4253 + 33.6025i 0.980059 + 1.24625i 0.969192 + 0.246306i \(0.0792167\pi\)
0.0108671 + 0.999941i \(0.496541\pi\)
\(728\) −15.0020 + 2.64062i −0.556010 + 0.0978680i
\(729\) 26.5109 5.11566i 0.981887 0.189469i
\(730\) −19.4024 + 25.2114i −0.718115 + 0.933115i
\(731\) 62.8460 6.00107i 2.32444 0.221958i
\(732\) −10.4937 + 13.4856i −0.387859 + 0.498441i
\(733\) −23.6543 + 12.1947i −0.873693 + 0.450420i −0.835910 0.548866i \(-0.815060\pi\)
−0.0377827 + 0.999286i \(0.512029\pi\)
\(734\) 0.390697 + 37.2859i 0.0144209 + 1.37625i
\(735\) −12.0294 27.4840i −0.443713 1.01376i
\(736\) 11.0295 + 11.4570i 0.406551 + 0.422309i
\(737\) 9.48042 + 4.82395i 0.349216 + 0.177693i
\(738\) 11.0209 6.05541i 0.405686 0.222903i
\(739\) −15.1767 + 3.68182i −0.558283 + 0.135438i −0.504965 0.863140i \(-0.668495\pi\)
−0.0533176 + 0.998578i \(0.516980\pi\)
\(740\) −14.8863 + 2.45974i −0.547231 + 0.0904218i
\(741\) −42.4333 + 32.2961i −1.55882 + 1.18643i
\(742\) −11.5215 + 7.57615i −0.422967 + 0.278129i
\(743\) 0.967274 0.0923635i 0.0354858 0.00338849i −0.0772980 0.997008i \(-0.524629\pi\)
0.112784 + 0.993620i \(0.464023\pi\)
\(744\) −6.49894 1.14770i −0.238263 0.0420766i
\(745\) −19.0776 22.0167i −0.698948 0.806628i
\(746\) 5.06329 38.0414i 0.185380 1.39279i
\(747\) 0.0107990 0.0174075i 0.000395113 0.000636906i
\(748\) −2.87423 13.3959i −0.105092 0.489804i
\(749\) −7.10937 + 2.46058i −0.259771 + 0.0899075i