Properties

Label 804.2.bd.a.23.4
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 23.4
Character \(\chi\) = 804.23
Dual form 804.2.bd.a.35.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.40914 + 0.119671i) q^{2} +(-1.73118 + 0.0550183i) q^{3} +(1.97136 - 0.337268i) q^{4} +(2.63175 - 1.20188i) q^{5} +(2.43289 - 0.284701i) q^{6} +(-0.694593 - 0.728468i) q^{7} +(-2.73756 + 0.711173i) q^{8} +(2.99395 - 0.190493i) q^{9} +O(q^{10})\) \(q+(-1.40914 + 0.119671i) q^{2} +(-1.73118 + 0.0550183i) q^{3} +(1.97136 - 0.337268i) q^{4} +(2.63175 - 1.20188i) q^{5} +(2.43289 - 0.284701i) q^{6} +(-0.694593 - 0.728468i) q^{7} +(-2.73756 + 0.711173i) q^{8} +(2.99395 - 0.190493i) q^{9} +(-3.56468 + 2.00856i) q^{10} +(1.29365 + 0.123529i) q^{11} +(-3.39421 + 0.692331i) q^{12} +(5.25385 + 1.01260i) q^{13} +(1.06596 + 0.943391i) q^{14} +(-4.48990 + 2.22546i) q^{15} +(3.77250 - 1.32975i) q^{16} +(-2.41551 + 4.68544i) q^{17} +(-4.19610 + 0.626721i) q^{18} +(3.97078 - 4.16444i) q^{19} +(4.78277 - 3.25694i) q^{20} +(1.24254 + 1.22289i) q^{21} +(-1.83772 - 0.0192563i) q^{22} +(-2.60993 + 1.04486i) q^{23} +(4.70007 - 1.38178i) q^{24} +(2.20729 - 2.54735i) q^{25} +(-7.52459 - 0.798156i) q^{26} +(-5.17257 + 0.494499i) q^{27} +(-1.61498 - 1.20181i) q^{28} +(-0.207920 - 0.120043i) q^{29} +(6.06058 - 3.67330i) q^{30} +(-0.254944 - 1.32277i) q^{31} +(-5.15685 + 2.32527i) q^{32} +(-2.24633 - 0.142675i) q^{33} +(2.84308 - 6.89151i) q^{34} +(-2.70353 - 1.08233i) q^{35} +(5.83789 - 1.38529i) q^{36} +(-1.30376 - 2.25817i) q^{37} +(-5.09703 + 6.34347i) q^{38} +(-9.15105 - 1.46392i) q^{39} +(-6.34983 + 5.16185i) q^{40} +(-2.96058 + 0.141030i) q^{41} +(-1.89726 - 1.57453i) q^{42} +(6.47484 + 10.0750i) q^{43} +(2.59191 - 0.192787i) q^{44} +(7.65037 - 4.09969i) q^{45} +(3.55272 - 1.78469i) q^{46} +(7.55715 + 5.94301i) q^{47} +(-6.45771 + 2.50959i) q^{48} +(0.284867 - 5.98009i) q^{49} +(-2.80554 + 3.85372i) q^{50} +(3.92389 - 8.24421i) q^{51} +(10.6987 + 0.224236i) q^{52} +(5.23723 - 8.14929i) q^{53} +(7.22970 - 1.31583i) q^{54} +(3.55303 - 1.22972i) q^{55} +(2.41956 + 1.50025i) q^{56} +(-6.64501 + 7.42784i) q^{57} +(0.307354 + 0.144275i) q^{58} +(-6.62268 - 7.64298i) q^{59} +(-8.10062 + 5.90148i) q^{60} +(-4.91037 + 0.468883i) q^{61} +(0.517550 + 1.83347i) q^{62} +(-2.21834 - 2.04868i) q^{63} +(6.98847 - 3.89376i) q^{64} +(15.0438 - 3.64959i) q^{65} +(3.18247 - 0.0677720i) q^{66} +(7.61507 + 3.00180i) q^{67} +(-3.18159 + 10.0513i) q^{68} +(4.46076 - 1.95243i) q^{69} +(3.93917 + 1.20162i) q^{70} +(-0.00404944 + 0.00208763i) q^{71} +(-8.06063 + 2.65070i) q^{72} +(7.73998 - 0.739078i) q^{73} +(2.10742 + 3.02606i) q^{74} +(-3.68106 + 4.53135i) q^{75} +(6.42330 - 9.54881i) q^{76} +(-0.808573 - 1.02818i) q^{77} +(13.0703 + 0.967758i) q^{78} +(13.1272 - 4.54337i) q^{79} +(8.33008 - 8.03367i) q^{80} +(8.92742 - 1.14065i) q^{81} +(4.15500 - 0.553028i) q^{82} +(-0.00396083 + 0.00556221i) q^{83} +(2.86194 + 1.99169i) q^{84} +(-0.725687 + 15.2340i) q^{85} +(-10.3297 - 13.4223i) q^{86} +(0.366551 + 0.196376i) q^{87} +(-3.62929 + 0.581842i) q^{88} +(11.8014 - 1.69678i) q^{89} +(-10.2898 + 6.69258i) q^{90} +(-2.91164 - 4.53060i) q^{91} +(-4.79271 + 2.94003i) q^{92} +(0.514130 + 2.27593i) q^{93} +(-11.3603 - 7.47017i) q^{94} +(5.44496 - 15.7322i) q^{95} +(8.79949 - 4.30917i) q^{96} +(-2.92429 - 5.06502i) q^{97} +(0.314228 + 8.46089i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.40914 + 0.119671i −0.996413 + 0.0846204i
\(3\) −1.73118 + 0.0550183i −0.999495 + 0.0317648i
\(4\) 1.97136 0.337268i 0.985679 0.168634i
\(5\) 2.63175 1.20188i 1.17695 0.537497i 0.271706 0.962380i \(-0.412412\pi\)
0.905248 + 0.424883i \(0.139685\pi\)
\(6\) 2.43289 0.284701i 0.993222 0.116229i
\(7\) −0.694593 0.728468i −0.262531 0.275335i 0.579254 0.815147i \(-0.303344\pi\)
−0.841786 + 0.539812i \(0.818495\pi\)
\(8\) −2.73756 + 0.711173i −0.967874 + 0.251438i
\(9\) 2.99395 0.190493i 0.997982 0.0634976i
\(10\) −3.56468 + 2.00856i −1.12725 + 0.635164i
\(11\) 1.29365 + 0.123529i 0.390050 + 0.0372453i 0.288239 0.957558i \(-0.406930\pi\)
0.101811 + 0.994804i \(0.467536\pi\)
\(12\) −3.39421 + 0.692331i −0.979825 + 0.199859i
\(13\) 5.25385 + 1.01260i 1.45716 + 0.280844i 0.855454 0.517878i \(-0.173278\pi\)
0.601701 + 0.798722i \(0.294490\pi\)
\(14\) 1.06596 + 0.943391i 0.284889 + 0.252132i
\(15\) −4.48990 + 2.22546i −1.15929 + 0.574612i
\(16\) 3.77250 1.32975i 0.943125 0.332438i
\(17\) −2.41551 + 4.68544i −0.585847 + 1.13639i 0.390586 + 0.920566i \(0.372272\pi\)
−0.976433 + 0.215819i \(0.930758\pi\)
\(18\) −4.19610 + 0.626721i −0.989029 + 0.147720i
\(19\) 3.97078 4.16444i 0.910960 0.955388i −0.0882106 0.996102i \(-0.528115\pi\)
0.999171 + 0.0407142i \(0.0129633\pi\)
\(20\) 4.78277 3.25694i 1.06946 0.728274i
\(21\) 1.24254 + 1.22289i 0.271145 + 0.266857i
\(22\) −1.83772 0.0192563i −0.391803 0.00410547i
\(23\) −2.60993 + 1.04486i −0.544208 + 0.217868i −0.627444 0.778662i \(-0.715899\pi\)
0.0832358 + 0.996530i \(0.473475\pi\)
\(24\) 4.70007 1.38178i 0.959398 0.282055i
\(25\) 2.20729 2.54735i 0.441458 0.509470i
\(26\) −7.52459 0.798156i −1.47569 0.156531i
\(27\) −5.17257 + 0.494499i −0.995461 + 0.0951663i
\(28\) −1.61498 1.20181i −0.305202 0.227120i
\(29\) −0.207920 0.120043i −0.0386098 0.0222913i 0.480571 0.876956i \(-0.340429\pi\)
−0.519181 + 0.854665i \(0.673763\pi\)
\(30\) 6.06058 3.67330i 1.10651 0.670650i
\(31\) −0.254944 1.32277i −0.0457893 0.237577i 0.951822 0.306650i \(-0.0992081\pi\)
−0.997612 + 0.0690727i \(0.977996\pi\)
\(32\) −5.15685 + 2.32527i −0.911611 + 0.411053i
\(33\) −2.24633 0.142675i −0.391036 0.0248366i
\(34\) 2.84308 6.89151i 0.487585 1.18188i
\(35\) −2.70353 1.08233i −0.456979 0.182947i
\(36\) 5.83789 1.38529i 0.972982 0.230882i
\(37\) −1.30376 2.25817i −0.214336 0.371241i 0.738731 0.674001i \(-0.235425\pi\)
−0.953067 + 0.302759i \(0.902092\pi\)
\(38\) −5.09703 + 6.34347i −0.826848 + 1.02905i
\(39\) −9.15105 1.46392i −1.46534 0.234416i
\(40\) −6.34983 + 5.16185i −1.00400 + 0.816160i
\(41\) −2.96058 + 0.141030i −0.462366 + 0.0220252i −0.277473 0.960734i \(-0.589497\pi\)
−0.184893 + 0.982759i \(0.559194\pi\)
\(42\) −1.89726 1.57453i −0.292754 0.242955i
\(43\) 6.47484 + 10.0750i 0.987404 + 1.53643i 0.836562 + 0.547872i \(0.184562\pi\)
0.150842 + 0.988558i \(0.451802\pi\)
\(44\) 2.59191 0.192787i 0.390745 0.0290638i
\(45\) 7.65037 4.09969i 1.14045 0.611146i
\(46\) 3.55272 1.78469i 0.523820 0.263138i
\(47\) 7.55715 + 5.94301i 1.10232 + 0.866877i 0.991902 0.127007i \(-0.0405372\pi\)
0.110423 + 0.993885i \(0.464780\pi\)
\(48\) −6.45771 + 2.50959i −0.932089 + 0.362228i
\(49\) 0.284867 5.98009i 0.0406953 0.854299i
\(50\) −2.80554 + 3.85372i −0.396763 + 0.544999i
\(51\) 3.92389 8.24421i 0.549454 1.15442i
\(52\) 10.6987 + 0.224236i 1.48365 + 0.0310959i
\(53\) 5.23723 8.14929i 0.719389 1.11939i −0.268357 0.963320i \(-0.586481\pi\)
0.987746 0.156072i \(-0.0498830\pi\)
\(54\) 7.22970 1.31583i 0.983838 0.179061i
\(55\) 3.55303 1.22972i 0.479090 0.165815i
\(56\) 2.41956 + 1.50025i 0.323327 + 0.200479i
\(57\) −6.64501 + 7.42784i −0.880153 + 0.983842i
\(58\) 0.307354 + 0.144275i 0.0403576 + 0.0189442i
\(59\) −6.62268 7.64298i −0.862199 0.995031i −0.999990 0.00456934i \(-0.998546\pi\)
0.137791 0.990461i \(1.54400\pi\)
\(60\) −8.10062 + 5.90148i −1.04579 + 0.761878i
\(61\) −4.91037 + 0.468883i −0.628708 + 0.0600343i −0.404546 0.914518i \(-0.632571\pi\)
−0.224162 + 0.974552i \(0.571964\pi\)
\(62\) 0.517550 + 1.83347i 0.0657289 + 0.232850i
\(63\) −2.21834 2.04868i −0.279485 0.258109i
\(64\) 6.98847 3.89376i 0.873558 0.486720i
\(65\) 15.0438 3.64959i 1.86596 0.452676i
\(66\) 3.18247 0.0677720i 0.391736 0.00834216i
\(67\) 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
\(70\) 3.93917 + 1.20162i 0.470821 + 0.143621i
\(71\) −0.00404944 + 0.00208763i −0.000480580 + 0.000247756i −0.458467 0.888712i \(-0.651601\pi\)
0.457986 + 0.888959i \(0.348571\pi\)
\(72\) −8.06063 + 2.65070i −0.949955 + 0.312388i
\(73\) 7.73998 0.739078i 0.905896 0.0865026i 0.368302 0.929706i \(-0.379939\pi\)
0.537594 + 0.843204i \(0.319333\pi\)
\(74\) 2.10742 + 3.02606i 0.244982 + 0.351772i
\(75\) −3.68106 + 4.53135i −0.425052 + 0.523235i
\(76\) 6.42330 9.54881i 0.736803 1.09532i
\(77\) −0.808573 1.02818i −0.0921455 0.117173i
\(78\) 13.0703 + 0.967758i 1.47992 + 0.109577i
\(79\) 13.1272 4.54337i 1.47693 0.511169i 0.534381 0.845244i \(-0.320545\pi\)
0.942547 + 0.334075i \(0.108424\pi\)
\(80\) 8.33008 8.03367i 0.931331 0.898191i
\(81\) 8.92742 1.14065i 0.991936 0.126739i
\(82\) 4.15500 0.553028i 0.458843 0.0610718i
\(83\) −0.00396083 + 0.00556221i −0.000434758 + 0.000610532i −0.814793 0.579752i \(-0.803150\pi\)
0.814359 + 0.580362i \(0.197089\pi\)
\(84\) 2.86194 + 1.99169i 0.312263 + 0.217311i
\(85\) −0.725687 + 15.2340i −0.0787118 + 1.65236i
\(86\) −10.3297 13.4223i −1.11388 1.44736i
\(87\) 0.366551 + 0.196376i 0.0392983 + 0.0210537i
\(88\) −3.62929 + 0.581842i −0.386884 + 0.0620246i
\(89\) 11.8014 1.69678i 1.25094 0.179859i 0.515171 0.857087i \(-0.327728\pi\)
0.735772 + 0.677229i \(0.236819\pi\)
\(90\) −10.2898 + 6.69258i −1.08464 + 0.705460i
\(91\) −2.91164 4.53060i −0.305223 0.474936i
\(92\) −4.79271 + 2.94003i −0.499674 + 0.306520i
\(93\) 0.514130 + 2.27593i 0.0533127 + 0.236003i
\(94\) −11.3603 7.47017i −1.17173 0.770489i
\(95\) 5.44496 15.7322i 0.558641 1.61409i
\(96\) 8.79949 4.30917i 0.898094 0.439803i
\(97\) −2.92429 5.06502i −0.296917 0.514275i 0.678512 0.734589i \(-0.262625\pi\)
−0.975429 + 0.220314i \(0.929292\pi\)
\(98\) 0.314228 + 8.46089i 0.0317419 + 0.854679i
\(99\) 3.89665 + 0.123407i 0.391628 + 0.0124029i
\(100\) 3.49222 5.76618i 0.349222 0.576618i
\(101\) 14.5279 + 3.52443i 1.44558 + 0.350693i 0.880383 0.474264i \(-0.157286\pi\)
0.565195 + 0.824957i \(0.308801\pi\)
\(102\) −4.54272 + 12.0868i −0.449796 + 1.19678i
\(103\) −1.03275 5.35843i −0.101760 0.527982i −0.996656 0.0817074i \(-0.973963\pi\)
0.894896 0.446274i \(1.85275\pi\)
\(104\) −15.1029 + 0.964352i −1.48096 + 0.0945625i
\(105\) 4.73983 + 1.72496i 0.462560 + 0.168339i
\(106\) −6.40476 + 12.1102i −0.622085 + 1.17625i
\(107\) 3.10491 6.79881i 0.300163 0.657266i −0.698111 0.715990i \(-0.745976\pi\)
0.998274 + 0.0587237i \(0.0187031\pi\)
\(108\) −10.0302 + 2.71937i −0.965157 + 0.261672i
\(109\) −2.57335 + 2.96981i −0.246482 + 0.284456i −0.865487 0.500932i \(-0.832991\pi\)
0.619004 + 0.785387i \(0.287536\pi\)
\(110\) −4.85956 + 2.15804i −0.463341 + 0.205761i
\(111\) 2.38127 + 3.83757i 0.226021 + 0.364246i
\(112\) −3.58903 1.82451i −0.339132 0.172400i
\(113\) −4.57675 + 3.25909i −0.430545 + 0.306590i −0.774707 0.632321i \(-0.782102\pi\)
0.344162 + 0.938910i \(0.388163\pi\)
\(114\) 8.47485 11.2621i 0.793743 1.05479i
\(115\) −5.61289 + 5.88663i −0.523405 + 0.548931i
\(116\) −0.450371 0.166522i −0.0418159 0.0154612i
\(117\) 15.9226 + 2.03084i 1.47205 + 0.187751i
\(118\) 10.2469 + 9.97749i 0.943307 + 0.918502i
\(119\) 5.09099 1.49485i 0.466690 0.137033i
\(120\) 10.7087 9.28543i 0.977564 0.847640i
\(121\) −9.14294 1.76216i −0.831177 0.160196i
\(122\) 6.86329 1.24835i 0.621373 0.113021i
\(123\) 5.11754 0.407034i 0.461433 0.0367010i
\(124\) −0.948714 2.52168i −0.0851971 0.226453i
\(125\) −1.32812 + 4.52316i −0.118791 + 0.404564i
\(126\) 3.37112 + 2.62141i 0.300324 + 0.233533i
\(127\) 4.32114 + 4.53188i 0.383439 + 0.402139i 0.886962 0.461843i \(-0.152812\pi\)
−0.503523 + 0.863982i \(0.667963\pi\)
\(128\) −9.38176 + 6.32317i −0.829239 + 0.558895i
\(129\) −11.7634 17.0855i −1.03571 1.50429i
\(130\) −20.7621 + 6.94311i −1.82096 + 0.608951i
\(131\) −2.05198 + 14.2718i −0.179282 + 1.24693i 0.679147 + 0.734002i \(0.262350\pi\)
−0.858429 + 0.512932i \(0.828559\pi\)
\(132\) −4.47645 + 0.476352i −0.389625 + 0.0414611i
\(133\) −5.79174 −0.502207
\(134\) −11.0899 3.31865i −0.958024 0.286687i
\(135\) −13.0186 + 7.51820i −1.12046 + 0.647064i
\(136\) 3.28045 14.5445i 0.281296 1.24718i
\(137\) −17.3512 2.49472i −1.48241 0.213139i −0.646884 0.762588i \(-0.723928\pi\)
−0.835527 + 0.549450i \(0.814837\pi\)
\(138\) −6.05220 + 3.28507i −0.515197 + 0.279644i
\(139\) −13.2334 + 6.04351i −1.12245 + 0.512604i −0.888146 0.459561i \(-0.848007\pi\)
−0.234299 + 0.972164i \(0.575280\pi\)
\(140\) −5.69465 1.22184i −0.481286 0.103265i
\(141\) −13.4097 9.87262i −1.12930 0.831425i
\(142\) 0.00545640 0.00342637i 0.000457891 0.000287534i
\(143\) 6.67156 + 1.95895i 0.557903 + 0.163815i
\(144\) 11.0414 4.69984i 0.920113 0.391653i
\(145\) −0.691470 0.0660274i −0.0574235 0.00548328i
\(146\) −10.8183 + 1.96772i −0.895327 + 0.162850i
\(147\) −0.164140 + 10.3683i −0.0135381 + 0.855161i
\(148\) −3.33178 4.01195i −0.273871 0.329780i
\(149\) −2.83682 9.66132i −0.232401 0.791486i −0.990280 0.139090i \(-0.955582\pi\)
0.757878 0.652396i \(-0.226236\pi\)
\(150\) 4.64486 6.82583i 0.379251 0.557327i
\(151\) 2.53711 4.92130i 0.206467 0.400490i −0.762752 0.646691i \(-0.776152\pi\)
0.969219 + 0.246202i \(0.0791825\pi\)
\(152\) −7.90862 + 14.2243i −0.641474 + 1.15374i
\(153\) −6.33936 + 14.4881i −0.512507 + 1.17129i
\(154\) 1.26244 + 1.35209i 0.101730 + 0.108955i
\(155\) −2.26076 3.17480i −0.181589 0.255006i
\(156\) −18.5337 + 0.200435i −1.48389 + 0.0160476i
\(157\) −0.822903 + 0.329441i −0.0656748 + 0.0262922i −0.404267 0.914641i \(-0.632473\pi\)
0.338592 + 0.940933i \(0.390049\pi\)
\(158\) −17.9544 + 7.97321i −1.42837 + 0.634314i
\(159\) −8.61821 + 14.3960i −0.683469 + 1.14168i
\(160\) −10.7769 + 12.3174i −0.851985 + 0.973779i
\(161\) 2.57398 + 1.17550i 0.202858 + 0.0926423i
\(162\) −12.4435 + 2.67570i −0.977654 + 0.210222i
\(163\) −21.8744 12.6292i −1.71333 0.989193i −0.929975 0.367623i \(-0.880172\pi\)
−0.783358 0.621571i \(1.21351\pi\)
\(164\) −5.78881 + 1.27653i −0.452030 + 0.0996803i
\(165\) −6.08327 + 2.32434i −0.473582 + 0.180949i
\(166\) 0.00491573 0.00831194i 0.000381535 0.000645132i
\(167\) 4.55036 18.7568i 0.352117 1.45145i −0.470272 0.882521i \(-0.655844\pi\)
0.822389 0.568925i \(-0.192641\pi\)
\(168\) −4.27122 2.46408i −0.329532 0.190108i
\(169\) 14.5088 + 5.80844i 1.11606 + 0.446803i
\(170\) −0.800484 21.5538i −0.0613943 1.65310i
\(171\) 11.0950 13.2245i 0.848457 1.01130i
\(172\) 16.1622 + 17.6778i 1.23236 + 1.34792i
\(173\) 0.576793 + 0.199630i 0.0438528 + 0.0151776i 0.348906 0.937158i \(-0.386553\pi\)
−0.305054 + 0.952335i \(0.598674\pi\)
\(174\) −0.540022 0.232855i −0.0409390 0.0176527i
\(175\) −3.38883 + 0.161430i −0.256171 + 0.0122029i
\(176\) 5.04456 1.25422i 0.380248 0.0945404i
\(177\) 11.8855 + 12.8670i 0.893371 + 0.967141i
\(178\) −16.4267 + 3.80329i −1.23124 + 0.285069i
\(179\) 2.00232 + 13.9264i 0.149660 + 1.04091i 0.916776 + 0.399401i \(0.130782\pi\)
−0.767116 + 0.641508i \(0.778309\pi\)
\(180\) 13.6989 10.6622i 1.02106 0.794712i
\(181\) 2.28581 + 1.79758i 0.169903 + 0.133613i 0.699490 0.714643i \(-0.253411\pi\)
−0.529587 + 0.848256i \(0.677653\pi\)
\(182\) 4.64510 + 6.03582i 0.344317 + 0.447405i
\(183\) 8.47492 1.08188i 0.626484 0.0799749i
\(184\) 6.40176 4.71647i 0.471944 0.347703i
\(185\) −6.14521 4.37599i −0.451805 0.321729i
\(186\) −0.996845 3.14558i −0.0730922 0.230645i
\(187\) −3.70361 + 5.76293i −0.270835 + 0.421427i
\(188\) 16.9022 + 9.16702i 1.23272 + 0.668573i
\(189\) 3.95306 + 3.42458i 0.287543 + 0.249101i
\(190\) −5.79002 + 22.8204i −0.420052 + 1.65557i
\(191\) 19.9525 15.6908i 1.44371 1.13535i 0.477178 0.878807i \(-0.341660\pi\)
0.966533 0.256541i \(-0.0825828\pi\)
\(192\) −11.8840 + 7.12527i −0.857657 + 0.514222i
\(193\) −8.15387 9.41007i −0.586929 0.677352i 0.382151 0.924100i \(-0.375183\pi\)
−0.969080 + 0.246748i \(0.920638\pi\)
\(194\) 4.72687 + 6.78737i 0.339370 + 0.487305i
\(195\) −25.8427 + 7.14578i −1.85064 + 0.511720i
\(196\) −1.45532 11.8850i −0.103951 0.848927i
\(197\) −8.21813 15.9409i −0.585517 1.13575i −0.976534 0.215362i \(-0.930907\pi\)
0.391017 0.920384i \(-0.372123\pi\)
\(198\) −5.50570 + 0.292420i −0.391273 + 0.0207814i
\(199\) −13.9703 + 3.38917i −0.990331 + 0.240252i −0.698025 0.716073i \(-0.745938\pi\)
−0.292306 + 0.956325i \(0.594423\pi\)
\(200\) −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
\(204\) 4.95488 17.5757i 0.346911 1.23054i
\(205\) −7.62202 + 3.92942i −0.532345 + 0.274443i
\(206\) 2.09654 + 7.42719i 0.146073 + 0.517477i
\(207\) −7.61495 + 3.62542i −0.529276 + 0.251984i
\(208\) 21.1666 3.16629i 1.46764 0.219543i
\(209\) 5.65123 4.89682i 0.390904 0.338720i
\(210\) −6.88552 1.86349i −0.475146 0.128593i
\(211\) 11.9712 + 15.2226i 0.824128 + 1.04796i 0.998001 + 0.0631959i \(0.0201293\pi\)
−0.173873 + 0.984768i \(0.555628\pi\)
\(212\) 7.57596 17.8315i 0.520319 1.22467i
\(213\) 0.00689544 0.00383685i 0.000472467 0.000262897i
\(214\) −3.56164 + 9.95205i −0.243469 + 0.680308i
\(215\) 29.1492 + 18.7330i 1.98796 + 1.27758i
\(216\) 13.8085 5.03231i 0.939552 0.342405i
\(217\) −0.786516 + 1.10451i −0.0533922 + 0.0749789i
\(218\) 3.27082 4.49283i 0.221528 0.304293i
\(219\) −13.3586 + 1.70532i −0.902691 + 0.115235i
\(220\) 6.58955 3.62253i 0.444267 0.244231i
\(221\) −17.4352 + 22.1706i −1.17282 + 1.49136i
\(222\) −3.81480 5.12270i −0.256032 0.343813i
\(223\) 12.6630 1.82066i 0.847976 0.121921i 0.295390 0.955377i \(-0.404550\pi\)
0.552586 + 0.833456i \(0.313641\pi\)
\(224\) 5.27580 + 2.14149i 0.352504 + 0.143084i
\(225\) 6.12325 8.04710i 0.408217 0.536473i
\(226\) 6.05927 5.14023i 0.403057 0.341923i
\(227\) −0.536922 11.2714i −0.0356367 0.748107i −0.944004 0.329934i \(-0.892973\pi\)
0.908367 0.418173i \(1.86267\pi\)
\(228\) −10.5945 + 16.8841i −0.701639 + 1.11818i
\(229\) −7.01219 + 20.2604i −0.463379 + 1.33885i 0.435319 + 0.900276i \(0.356636\pi\)
−0.898698 + 0.438569i \(0.855486\pi\)
\(230\) 7.20489 8.96679i 0.475076 0.591253i
\(231\) 1.45635 + 1.73548i 0.0958210 + 0.114186i
\(232\) 0.654564 + 0.180757i 0.0429742 + 0.0118673i
\(233\) 1.64739 4.11498i 0.107924 0.269581i −0.864569 0.502515i \(-0.832408\pi\)
0.972493 + 0.232934i \(0.0748325\pi\)
\(234\) −22.6803 0.956254i −1.48266 0.0625123i
\(235\) 27.0313 + 6.55773i 1.76333 + 0.427779i
\(236\) −15.6334 12.8334i −1.01765 0.835385i
\(237\) −22.4756 + 8.58762i −1.45994 + 0.557826i
\(238\) −6.99503 + 2.71570i −0.453420 + 0.176033i
\(239\) −7.59649 + 13.1575i −0.491376 + 0.851089i −0.999951 0.00992922i \(-0.996839\pi\)
0.508574 + 0.861018i \(0.330173\pi\)
\(240\) −13.9788 + 14.3660i −0.902330 + 0.927321i
\(241\) 7.19799 15.7614i 0.463664 1.01528i −0.522974 0.852349i \(-0.675177\pi\)
0.986637 0.162933i \(-0.0520954\pi\)
\(242\) 13.0946 + 1.38898i 0.841751 + 0.0892871i
\(243\) −15.3922 + 2.46584i −0.987410 + 0.158184i
\(244\) −9.52195 + 2.58044i −0.609580 + 0.165196i
\(245\) −6.43766 16.0805i −0.411287 1.02734i
\(246\) −7.16262 + 1.18599i −0.456672 + 0.0756160i
\(247\) 25.0788 17.8585i 1.59572 1.13631i
\(248\) 1.63864 + 3.43986i 0.104054 + 0.218432i
\(249\) 0.00655088 0.00984709i 0.000415145 0.000624034i
\(250\) 1.33021 6.53271i 0.0841302 0.413165i
\(251\) 12.6229 + 6.50754i 0.796748 + 0.410752i 0.807999 0.589184i \(-0.200551\pi\)
−0.0112502 + 0.999937i \(0.503581\pi\)
\(252\) −5.06410 3.29050i −0.319008 0.207282i
\(253\) −3.50541 + 1.02928i −0.220383 + 0.0647103i
\(254\) −6.63143 5.86894i −0.416093 0.368250i
\(255\) 0.418141 26.4128i 0.0261850 1.65403i
\(256\) 12.4635 10.0330i 0.778970 0.627061i
\(257\) −0.547378 + 5.73240i −0.0341445 + 0.357577i 0.962213 + 0.272299i \(0.0877840\pi\)
−0.996357 + 0.0852783i \(0.972822\pi\)
\(258\) 18.6209 + 22.6681i 1.15929 + 1.41125i
\(259\) −0.739427 + 2.51826i −0.0459457 + 0.156477i
\(260\) 28.4259 12.2685i 1.76290 0.760857i
\(261\) −0.645368 0.319794i −0.0399473 0.0197947i
\(262\) 1.18360 20.3566i 0.0731229 1.25763i
\(263\) 2.28425 + 5.00182i 0.140853 + 0.308425i 0.966891 0.255189i \(-0.0821377\pi\)
−0.826038 + 0.563614i \(0.809410\pi\)
\(264\) 6.25094 1.20695i 0.384719 0.0742826i
\(265\) 3.98861 27.7414i 0.245019 1.70414i
\(266\) 8.16138 0.693105i 0.500406 0.0424970i
\(267\) −20.3369 + 3.58672i −1.24460 + 0.219504i
\(268\) 16.0244 + 3.34930i 0.978848 + 0.204591i
\(269\) 12.7577i 0.777849i 0.921270 + 0.388924i \(0.127153\pi\)
−0.921270 + 0.388924i \(0.872847\pi\)
\(270\) 17.4453 12.1522i 1.06169 0.739557i
\(271\) −13.9760 2.00944i −0.848980 0.122065i −0.295927 0.955211i \(-0.595628\pi\)
−0.553054 + 0.833146i \(0.686538\pi\)
\(272\) −2.88205 + 20.8878i −0.174750 + 1.26651i
\(273\) 5.28983 + 7.68308i 0.320155 + 0.465001i
\(274\) 24.7488 + 1.43898i 1.49513 + 0.0869318i
\(275\) 3.17013 3.02271i 0.191166 0.182276i
\(276\) 8.13527 5.35341i 0.489686 0.322237i
\(277\) −14.5200 4.26345i −0.872421 0.256166i −0.185276 0.982686i \(-0.559318\pi\)
−0.687145 + 0.726521i \(0.741136\pi\)
\(278\) 17.9246 10.0998i 1.07504 0.605747i
\(279\) −1.01527 3.91175i −0.0607824 0.234190i
\(280\) 8.17079 + 1.04026i 0.488298 + 0.0621677i
\(281\) 0.291942 1.51474i 0.0174158 0.0903618i −0.972181 0.234232i \(-0.924743\pi\)
0.989597 + 0.143870i \(0.0459547\pi\)
\(282\) 20.0777 + 12.3072i 1.19561 + 0.732880i
\(283\) 1.28290 + 4.36916i 0.0762606 + 0.259720i 0.988795 0.149280i \(-0.0476957\pi\)
−0.912534 + 0.409000i \(0.865878\pi\)
\(284\) −0.00727880 + 0.00548121i −0.000431917 + 0.000325250i
\(285\) −8.56062 + 27.5347i −0.507088 + 1.63102i
\(286\) −9.63559 1.96204i −0.569765 0.116018i
\(287\) 2.15914 + 2.05873i 0.127450 + 0.121523i
\(288\) −14.9964 + 7.94407i −0.883671 + 0.468109i
\(289\) −6.25765 8.78764i −0.368097 0.516920i
\(290\) 0.982280 + 0.0102927i 0.0576815 + 0.000604409i
\(291\) 5.34113 + 8.60755i 0.313103 + 0.504584i
\(292\) 15.0090 4.06743i 0.878335 0.238029i
\(293\) 3.59633 + 3.11623i 0.210100 + 0.182052i 0.753553 0.657387i \(-0.228338\pi\)
−0.543454 + 0.839439i \(0.682884\pi\)
\(294\) −1.00949 14.6300i −0.0588746 0.853239i
\(295\) −26.6152 12.1547i −1.54960 0.707676i
\(296\) 5.17506 + 5.25469i 0.300794 + 0.305422i
\(297\) −6.75258 0.000748072i −0.391824 4.34075e-5i
\(298\) 5.15366 + 13.2747i 0.298544 + 0.768982i
\(299\) −14.7702 + 2.84672i −0.854182 + 0.164630i
\(300\) −5.72840 + 10.1744i −0.330729 + 0.587420i
\(301\) 2.84197 11.7148i 0.163809 0.675228i
\(302\) −2.98620 + 7.23843i −0.171837 + 0.416525i
\(303\) −25.3442 5.30210i −1.45599 0.304598i
\(304\) 9.44212 20.9905i 0.541543 1.20389i
\(305\) −12.3593 + 7.13566i −0.707692 + 0.408586i
\(306\) 7.19925 21.1744i 0.411554 1.21046i
\(307\) −4.17534 1.44510i −0.238300 0.0824763i 0.205308 0.978697i \(-0.434180\pi\)
−0.443608 + 0.896221i \(0.646302\pi\)
\(308\) −1.94076 1.75421i −0.110585 0.0999556i
\(309\) 2.08269 + 9.21957i 0.118480 + 0.524483i
\(310\) 3.56567 + 4.20319i 0.202516 + 0.238725i
\(311\) −17.1982 + 11.0526i −0.975219 + 0.626735i −0.928170 0.372157i \(-0.878618\pi\)
−0.0470494 + 0.998893i \(0.514982\pi\)
\(312\) 26.0926 2.50040i 1.47721 0.141557i
\(313\) 4.20846 + 29.2705i 0.237876 + 1.65446i 0.662476 + 0.749083i \(0.269506\pi\)
−0.424600 + 0.905381i \(0.639585\pi\)
\(314\) 1.12016 0.562707i 0.0632144 0.0317554i
\(315\) −8.30039 2.72543i −0.467674 0.153561i
\(316\) 24.3461 13.3840i 1.36958 0.752909i
\(317\) −2.38069 0.113406i −0.133713 0.00636953i −0.0193812 0.999812i \(-0.506170\pi\)
−0.114332 + 0.993443i \(0.536473\pi\)
\(318\) 10.4215 21.3174i 0.584408 1.19542i
\(319\) −0.254147 0.180977i −0.0142295 0.0101328i
\(320\) 13.7121 18.6467i 0.766528 1.04238i
\(321\) −5.00109 + 11.9408i −0.279134 + 0.666469i
\(322\) −3.76778 1.34841i −0.209970 0.0751441i
\(323\) 9.92074 + 28.6641i 0.552005 + 1.59491i
\(324\) 17.2144 5.25956i 0.956358 0.292198i
\(325\) 14.1762 11.1483i 0.786354 0.618396i
\(326\) 32.3354 + 15.1786i 1.79089 + 0.840662i
\(327\) 4.29153 5.28284i 0.237322 0.292142i
\(328\) 8.00448 2.49157i 0.441973 0.137574i
\(329\) −0.919851 9.63312i −0.0507131 0.531091i
\(330\) 8.29402 4.00331i 0.456571 0.220375i
\(331\) −5.33440 10.3473i −0.293205 0.568739i 0.695515 0.718511i \(-0.255176\pi\)
−0.988720 + 0.149773i \(0.952146\pi\)
\(332\) −0.00593226 + 0.0123010i −0.000325575 + 0.000675103i
\(333\) −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
\(336\) 6.31363 + 2.96109i 0.344437 + 0.161541i
\(337\) 3.46237 + 14.2721i 0.188607 + 0.777449i 0.984984 + 0.172648i \(0.0552323\pi\)
−0.796377 + 0.604801i \(0.793253\pi\)
\(338\) −21.1400 6.44862i −1.14987 0.350759i
\(339\) 7.74386 5.89387i 0.420589 0.320111i
\(340\) 3.70736 + 30.2765i 0.201060 + 1.64197i
\(341\) −0.166408 1.74270i −0.00901148 0.0943725i
\(342\) −14.0518 + 19.9630i −0.759837 + 1.07947i
\(343\) −9.87903 + 8.56022i −0.533417 + 0.462209i
\(344\) −24.8904 22.9763i −1.34200 1.23880i
\(345\) 9.39303 10.4996i 0.505704 0.565280i
\(346\) −0.836673 0.212281i −0.0449798 0.0114123i
\(347\) −3.55954 10.2846i −0.191086 0.552107i 0.808238 0.588855i \(-0.200421\pi\)
−0.999325 + 0.0367482i \(0.988300\pi\)
\(348\) 0.788833 + 0.263501i 0.0422859 + 0.0141251i
\(349\) 7.36480 + 4.73307i 0.394228 + 0.253355i 0.722705 0.691157i \(-0.242899\pi\)
−0.328476 + 0.944512i \(0.606535\pi\)
\(350\) 4.75602 0.633023i 0.254220 0.0338365i
\(351\) −27.6766 2.63970i −1.47727 0.140897i
\(352\) −6.95840 + 2.37106i −0.370884 + 0.126378i
\(353\) −26.2268 1.24933i −1.39591 0.0664954i −0.663916 0.747807i \(-0.731107\pi\)
−0.731993 + 0.681312i \(0.761410\pi\)
\(354\) −18.2882 16.7090i −0.972007 0.888075i
\(355\) −0.00814803 + 0.0103611i −0.000432452 + 0.000549908i
\(356\) 22.6925 7.32519i 1.20270 0.388234i
\(357\) −8.73115 + 2.86794i −0.462102 + 0.151788i
\(358\) −4.48814 19.3847i −0.237205 1.02451i
\(359\) 6.44684 4.14313i 0.340251 0.218666i −0.359345 0.933205i \(-0.617000\pi\)
0.699596 + 0.714539i \(0.253363\pi\)
\(360\) −18.0277 + 16.6639i −0.950146 + 0.878264i
\(361\) −0.671365 14.0937i −0.0353350 0.741773i
\(362\) −3.43614 2.25950i −0.180600 0.118756i
\(363\) 15.9250 + 2.54758i 0.835846 + 0.133713i
\(364\) −7.26791 7.94943i −0.380942 0.416664i
\(365\) 19.4814 11.2476i 1.01970 0.588726i
\(366\) −11.8129 + 2.53873i −0.617469 + 0.132701i
\(367\) −9.79947 + 24.4779i −0.511528 + 1.27774i 0.417819 + 0.908530i \(0.362795\pi\)
−0.929348 + 0.369206i \(0.879630\pi\)
\(368\) −8.45656 + 7.41228i −0.440829 + 0.386392i
\(369\) −8.83696 + 0.986206i −0.460034 + 0.0513399i
\(370\) 9.18315 + 5.43098i 0.477409 + 0.282343i
\(371\) −9.57424 + 1.84528i −0.497070 + 0.0958024i
\(372\) 1.78113 + 4.31327i 0.0923473 + 0.223633i
\(373\) −13.5683 + 23.5009i −0.702539 + 1.21683i 0.265034 + 0.964239i \(0.414617\pi\)
−0.967573 + 0.252593i \(0.918717\pi\)
\(374\) 4.52925 8.56400i 0.234202 0.442834i
\(375\) 2.05035 7.90346i 0.105880 0.408133i
\(376\) −24.9147 10.8949i −1.28488 0.561862i
\(377\) −0.970825 0.841224i −0.0500000 0.0433253i
\(378\) −5.98024 4.35264i −0.307590 0.223876i
\(379\) −3.41562 8.53181i −0.175449 0.438250i 0.814413 0.580286i \(-0.197059\pi\)
−0.989861 + 0.142036i \(0.954635\pi\)
\(380\) 5.42800 32.8501i 0.278451 1.68518i
\(381\) −7.72999 7.60774i −0.396019 0.389756i
\(382\) −26.2381 + 24.4983i −1.34246 + 1.25344i
\(383\) −20.0163 19.0855i −1.02278 0.975223i −0.0230849 0.999734i \(-0.507349\pi\)
−0.999700 + 0.0245105i \(0.992197\pi\)
\(384\) 15.8936 11.4627i 0.811067 0.584953i
\(385\) −3.36372 1.73412i −0.171431 0.0883788i
\(386\) 12.6161 + 12.2843i 0.642141 + 0.625256i
\(387\) 21.3045 + 28.9307i 1.08297 + 1.47063i
\(388\) −7.47309 8.99869i −0.379388 0.456839i
\(389\) −0.958839 + 4.97493i −0.0486151 + 0.252239i −0.998103 0.0615643i \(-0.980391\pi\)
0.949488 + 0.313803i \(0.101603\pi\)
\(390\) 35.5609 13.1620i 1.80070 0.666486i
\(391\) 1.40870 14.7525i 0.0712408 0.746067i
\(392\) 3.47304 + 16.5735i 0.175415 + 0.837086i
\(393\) 2.76712 24.8199i 0.139583 1.25200i
\(394\) 13.4882 + 21.4796i 0.679525 + 1.08213i
\(395\) 29.0870 27.7344i 1.46352 1.39547i
\(396\) 7.72331 1.07094i 0.388111 0.0538165i
\(397\) 2.92001 + 6.39392i 0.146551 + 0.320902i 0.968645 0.248450i \(-0.0799213\pi\)
−0.822094 + 0.569352i \(0.807194\pi\)
\(398\) 19.2806 6.44767i 0.966449 0.323192i
\(399\) 10.0265 0.318652i 0.501954 0.0159525i
\(400\) 4.93966 12.5450i 0.246983 0.627251i
\(401\) 36.5727i 1.82635i 0.407564 + 0.913177i \(0.366378\pi\)
−0.407564 + 0.913177i \(0.633622\pi\)
\(402\) 19.3812 + 5.13502i 0.966647 + 0.256111i
\(403\) 7.20781i 0.359046i
\(404\) 29.8283 + 2.04812i 1.48401 + 0.101898i
\(405\) 22.1238 13.7316i 1.09934 0.682329i
\(406\) −0.108386 0.324110i −0.00537912 0.0160853i
\(407\) −1.40766 3.08234i −0.0697749 0.152786i
\(408\) −4.87882 + 25.3596i −0.241538 + 1.25549i
\(409\) 12.1379 11.5735i 0.600180 0.572271i −0.327871 0.944722i \(-0.606331\pi\)
0.928052 + 0.372452i \(0.121483\pi\)
\(410\) 10.2703 6.44925i 0.507212 0.318506i
\(411\) 30.1752 + 3.36417i 1.48843 + 0.165942i
\(412\) −3.84315 10.2151i −0.189338 0.503260i
\(413\) −0.967600 + 10.1332i −0.0476125 + 0.498620i
\(414\) 10.2967 6.02002i 0.506054 0.295868i
\(415\) −0.00373881 + 0.0193988i −0.000183531 + 0.000952249i
\(416\) −29.4479 + 6.99479i −1.44380 + 0.342948i
\(417\) 22.5769 11.1905i 1.10560 0.547999i
\(418\) −7.37737 + 7.57660i −0.360839 + 0.370584i
\(419\) −10.0967 5.20521i −0.493256 0.254291i 0.193606 0.981079i \(-0.437982\pi\)
−0.686861 + 0.726788i \(0.741012\pi\)
\(420\) 9.92567 + 1.80192i 0.484323 + 0.0879246i
\(421\) 9.96887 + 9.50529i 0.485853 + 0.463260i 0.892970 0.450116i \(-0.148617\pi\)
−0.407117 + 0.913376i \(0.633466\pi\)
\(422\) −18.6907 20.0181i −0.909851 0.974467i
\(423\) 23.7578 + 16.3535i 1.15514 + 0.795133i
\(424\) −8.54168 + 26.0337i −0.414821 + 1.26431i
\(425\) 6.60371 + 16.4953i 0.320327 + 0.800138i
\(426\) −0.00925748 + 0.00623185i −0.000448526 + 0.000301934i
\(427\) 3.75227 + 3.25136i 0.181585 + 0.157344i
\(428\) 3.82787 14.4501i 0.185027 0.698471i
\(429\) −11.6574 3.02422i −0.562825 0.146011i
\(430\) −43.3171 22.9092i −2.08894 1.10478i
\(431\) −0.818229 + 1.41721i −0.0394127 + 0.0682648i −0.885059 0.465479i \(-0.845882\pi\)
0.845646 + 0.533744i \(0.179215\pi\)
\(432\) −18.8560 + 8.74372i −0.907208 + 0.420683i
\(433\) −6.22065 + 1.19893i −0.298946 + 0.0576170i −0.336519 0.941677i \(-0.609249\pi\)
0.0375729 + 0.999294i \(0.488037\pi\)
\(434\) 0.976135 1.65053i 0.0468560 0.0792280i
\(435\) 1.20069 + 0.0762615i 0.0575687 + 0.00365646i
\(436\) −4.07138 + 6.72246i −0.194984 + 0.321947i
\(437\) −6.01222 + 15.0178i −0.287603 + 0.718399i
\(438\) 18.6201 4.00167i 0.889702 0.191207i
\(439\) −1.77590 + 1.02532i −0.0847592 + 0.0489357i −0.541781 0.840520i \(-0.682250\pi\)
0.457021 + 0.889456i \(0.348916\pi\)
\(440\) −8.85209 + 5.89324i −0.422007 + 0.280949i
\(441\) −0.286289 17.9583i −0.0136328 0.855159i
\(442\) 21.9154 33.3280i 1.04241 1.58525i
\(443\) 1.63584 + 34.3406i 0.0777213 + 1.63157i 0.615255 + 0.788328i \(0.289053\pi\)
−0.537534 + 0.843242i \(0.680644\pi\)
\(444\) 5.98863 + 6.76209i 0.284208 + 0.320914i
\(445\) 29.0189 18.6493i 1.37563 0.884064i
\(446\) −17.6260 + 4.08097i −0.834617 + 0.193239i
\(447\) 5.44259 + 16.5694i 0.257426 + 0.783705i
\(448\) −7.69062 2.38630i −0.363347 0.112742i
\(449\) 4.13689 5.26048i 0.195232 0.248257i −0.678575 0.734532i \(-0.737402\pi\)
0.873806 + 0.486274i \(0.161644\pi\)
\(450\) −7.66552 + 12.0723i −0.361356 + 0.569092i
\(451\) −3.84738 0.183273i −0.181166 0.00863000i
\(452\) −7.92323 + 7.96843i −0.372677 + 0.374803i
\(453\) −4.12142 + 8.65923i −0.193641 + 0.406846i
\(454\) 2.10546 + 15.8187i 0.0988141 + 0.742409i
\(455\) −13.1080 8.42397i −0.614510 0.394922i
\(456\) 12.9086 25.0599i 0.604502 1.17354i
\(457\) −0.536866 1.55117i −0.0251135 0.0725608i 0.931747 0.363107i \(-0.118284\pi\)
−0.956861 + 0.290546i \(0.906163\pi\)
\(458\) 7.45658 29.3889i 0.348423 1.37325i
\(459\) 10.1775 25.4302i 0.475043 1.18698i
\(460\) −9.07964 + 13.4977i −0.423340 + 0.629333i
\(461\) −18.8190 + 16.3067i −0.876487 + 0.759481i −0.971760 0.235971i \(-0.924173\pi\)
0.0952728 + 0.995451i \(0.469628\pi\)
\(462\) −2.25989 2.27126i −0.105140 0.105668i
\(463\) 3.72874 + 39.0491i 0.173289 + 1.81477i 0.496060 + 0.868288i \(0.334780\pi\)
−0.322771 + 0.946477i \(0.604614\pi\)
\(464\) −0.944005 0.176379i −0.0438243 0.00818820i
\(465\) 4.08845 + 5.37175i 0.189598 + 0.249109i
\(466\) −1.82896 + 5.99573i −0.0847248 + 0.277747i
\(467\) −8.27046 34.0913i −0.382711 1.57756i −0.759023 0.651064i \(-0.774323\pi\)
0.376311 0.926493i \(1.62281\pi\)
\(468\) 32.0741 1.36668i 1.48263 0.0631749i
\(469\) −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
\(472\) 23.5655 + 16.2132i 1.08469 + 0.746275i
\(473\) 7.13162 + 13.8334i 0.327912 + 0.636061i
\(474\) 30.6435 14.7909i 1.40750 0.679366i
\(475\) −1.84360 19.3071i −0.0845903 0.885870i
\(476\) 9.53199 4.66391i 0.436898 0.213770i
\(477\) 14.1276 25.3962i 0.646859 1.16281i
\(478\) 9.12996 19.4499i 0.417594 0.889617i
\(479\) 17.7398 13.9507i 0.810550 0.637424i −0.124388 0.992234i \(-0.539697\pi\)
0.934938 + 0.354810i \(0.115454\pi\)
\(480\) 17.9790 21.9166i 0.820624 1.00035i
\(481\) −4.56312 13.1843i −0.208060 0.601151i
\(482\) −8.25680 + 23.0714i −0.376087 + 1.05088i
\(483\) −4.52070 1.89338i −0.205699 0.0861518i
\(484\) −18.6183 0.390223i −0.846288 0.0177374i
\(485\) −13.7835 9.81521i −0.625878 0.445686i
\(486\) 21.3947 5.31672i 0.970483 0.241171i
\(487\) −16.3986 0.781159i −0.743089 0.0353977i −0.327377 0.944894i \(-0.606165\pi\)
−0.415712 + 0.909496i \(0.636468\pi\)
\(488\) 13.1090 4.77572i 0.593415 0.216186i
\(489\) 38.5632 + 20.6598i 1.74389 + 0.934270i
\(490\) 10.9959 + 21.8893i 0.496746 + 0.988857i
\(491\) 2.36174 + 16.4263i 0.106584 + 0.741308i 0.971095 + 0.238694i \(0.0767193\pi\)
−0.864511 + 0.502614i \(0.832372\pi\)
\(492\) 9.95121 2.52839i 0.448635 0.113989i
\(493\) 1.06468 0.684231i 0.0479510 0.0308162i
\(494\) −33.2024 + 28.1664i −1.49385 + 1.26727i
\(495\) 10.4033 4.35853i 0.467595 0.195901i
\(496\) −2.72073 4.65115i −0.122165 0.208843i
\(497\) 0.00433348 + 0.00149983i 0.000194383 + 6.72767e-5i
\(498\) −0.00805270 + 0.0146599i −0.000360850 + 0.000656925i
\(499\) 18.7413 10.8203i 0.838975 0.484382i −0.0179408 0.999839i \(-0.505711\pi\)
0.856916 + 0.515457i \(0.172378\pi\)
\(500\) −1.09268 + 9.36470i −0.0488662 + 0.418802i
\(501\) −6.84550 + 32.7217i −0.305834 + 1.46190i
\(502\) −18.5662 7.65945i −0.828649 0.341858i
\(503\) 2.30018 9.48146i 0.102560 0.422757i −0.897265 0.441493i \(-0.854449\pi\)
0.999824 + 0.0187357i \(0.00596412\pi\)
\(504\) 7.52981 + 4.03076i 0.335404 + 0.179544i
\(505\) 42.4697 8.18536i 1.88988 0.364244i
\(506\) 4.81644 1.86990i 0.214117 0.0831271i
\(507\) −25.4368 9.25719i −1.12969 0.411126i
\(508\) 10.0470 + 7.47657i 0.445762 + 0.331719i
\(509\) −18.4023 8.40404i −0.815667 0.372503i −0.0365114 0.999333i \(-0.511625\pi\)
−0.779156 + 0.626831i \(0.784352\pi\)
\(510\) 2.57163 + 37.2693i 0.113874 + 1.65031i
\(511\) −5.91453 5.12497i −0.261643 0.226715i
\(512\) −16.3622 + 15.6294i −0.723114 + 0.690728i
\(513\) −18.4798 + 23.5044i −0.815905 + 1.03774i
\(514\) 0.0853284 8.14327i 0.00376367 0.359184i
\(515\) −9.15813 12.8608i −0.403556 0.566715i
\(516\) −28.9522 29.7141i −1.27455 1.30809i
\(517\) 9.04218 + 8.62170i 0.397675 + 0.379182i
\(518\) 0.740593 3.63707i 0.0325398 0.159803i
\(519\) −1.00951 0.313861i −0.0443128 0.0137770i
\(520\) −38.5879 + 20.6897i −1.69219 + 0.907306i
\(521\) −10.3531 35.2595i −0.453579 1.54475i −0.796057 0.605222i \(-0.793084\pi\)
0.342477 0.939526i \(-0.388734\pi\)
\(522\) 0.947685 + 0.373402i 0.0414790 + 0.0163434i
\(523\) 1.82994 9.49464i 0.0800177 0.415171i −0.919727 0.392560i \(-0.871590\pi\)
0.999744 0.0226119i \(-0.00719819\pi\)
\(524\) 0.768242 + 28.8269i 0.0335608 + 1.25931i
\(525\) 5.85778 0.465911i 0.255655 0.0203340i
\(526\) −3.81741 6.77491i −0.166447 0.295400i
\(527\) 6.81359 + 2.00065i 0.296805 + 0.0871497i
\(528\) −8.66402 + 2.44882i −0.377053 + 0.106571i
\(529\) −10.9259 + 10.4178i −0.475038 + 0.452948i
\(530\) −2.30067 + 39.5689i −0.0999345 + 1.71876i
\(531\) −21.2839 21.6211i −0.923641 0.938275i
\(532\) −11.4176 + 1.95337i −0.495015 + 0.0846892i
\(533\) −15.6973 2.25693i −0.679924 0.0977583i
\(534\) 28.2284 7.48794i 1.22156 0.324035i
\(535\) 21.6245i 0.934909i
\(536\) −22.9815 2.80196i −0.992649 0.121026i
\(537\) −4.23257 23.9989i −0.182649 1.03563i
\(538\) −1.52673 17.9774i −0.0658219 0.775059i
\(539\) 1.10723 7.70096i 0.0476918 0.331704i
\(540\) −23.1286 + 19.2118i −0.995298 + 0.826745i
\(541\) 16.5447 + 36.2278i 0.711312 + 1.55756i 0.825694 + 0.564119i \(0.190784\pi\)
−0.114382 + 0.993437i \(0.536489\pi\)
\(542\) 19.9346 + 1.15906i 0.856264 + 0.0497860i
\(543\) −4.05603 2.98616i −0.174061 0.128149i
\(544\) 1.56154 29.7788i 0.0669506 1.27676i
\(545\) −3.20307 + 10.9087i −0.137204 + 0.467275i
\(546\) −8.37356 10.1935i −0.358355 0.436242i
\(547\) −2.88352 + 30.1976i −0.123291 + 1.29116i 0.696110 + 0.717935i \(0.254913\pi\)
−0.819400 + 0.573222i \(0.805693\pi\)
\(548\) −35.0468 + 0.934002i −1.49712 + 0.0398986i
\(549\) −14.6121 + 2.33920i −0.623627 + 0.0998347i
\(550\) −4.10543 + 4.63880i −0.175056 + 0.197799i
\(551\) −1.32551 + 0.389206i −0.0564688 + 0.0165807i
\(552\) −10.8231 + 8.51726i −0.460661 + 0.362519i
\(553\) −12.4278 6.40696i −0.528483 0.272452i
\(554\) 20.9709 + 4.27018i 0.890969 + 0.181422i
\(555\) 10.8792 + 7.23751i 0.461797 + 0.307215i
\(556\) −24.0496 + 16.3771i −1.01993 + 0.694545i
\(557\) 22.1315 15.7598i 0.937743 0.667764i −0.00545863 0.999985i \(-0.501738\pi\)
0.943201 + 0.332221i \(0.107798\pi\)
\(558\) 1.89878 + 5.39071i 0.0803817 + 0.228207i
\(559\) 23.8159 + 59.4892i 1.00730 + 2.51612i
\(560\) −11.6383 0.488070i −0.491807 0.0206247i
\(561\) 6.09454 10.1804i 0.257312 0.429817i
\(562\) −0.230117 + 2.16942i −0.00970689 + 0.0915114i
\(563\) −0.589874 + 1.29164i −0.0248602 + 0.0544363i −0.921655 0.388011i \(-0.873162\pi\)
0.896795 + 0.442447i \(0.145890\pi\)
\(564\) −29.7651 14.9398i −1.25334 0.629079i
\(565\) −8.12783 + 14.0778i −0.341941 + 0.592258i
\(566\) −2.33065 6.00324i −0.0979647 0.252335i
\(567\) −7.03185 5.71106i −0.295310 0.239842i
\(568\) 0.00960091 0.00859486i 0.000402845 0.000360633i
\(569\) 37.6172 + 9.12583i 1.57699 + 0.382575i 0.926307 0.376771i \(-0.122966\pi\)
0.650688 + 0.759345i \(0.274481\pi\)
\(570\) 8.76801 39.8248i 0.367251 1.66808i
\(571\) 11.1163 27.7671i 0.465201 1.16202i −0.491483 0.870887i \(-0.663545\pi\)
0.956684 0.291129i \(-0.0940308\pi\)
\(572\) 13.8127 + 1.61168i 0.577538 + 0.0673878i
\(573\) −33.6780 + 28.2613i −1.40692 + 1.18063i
\(574\) −3.28890 2.64266i −0.137276 0.110302i
\(575\) −3.09925 + 8.95470i −0.129248 + 0.373437i
\(576\) 20.1814 12.9890i 0.840890 0.541206i
\(577\) −0.235240 4.93829i −0.00979316 0.205584i −0.998461 0.0554625i \(-0.982337\pi\)
0.988668 0.150121i \(-0.0479664\pi\)
\(578\) 9.86954 + 11.6342i 0.410519 + 0.483918i
\(579\) 14.6335 + 15.8419i 0.608148 + 0.658366i
\(580\) −1.38540 + 0.103047i −0.0575257 + 0.00427879i
\(581\) 0.00680306 0.000978132i 0.000282238 4.05798e-5i
\(582\) −8.55648 11.4901i −0.354678 0.476279i
\(583\) 7.78181 9.89538i 0.322290 0.409825i
\(584\) −20.6630 + 7.52774i −0.855043 + 0.311500i
\(585\) 44.3452 13.7924i 1.83345 0.570247i
\(586\) −5.44066 3.96084i −0.224751 0.163621i
\(587\) −3.45236 + 4.84815i −0.142494 + 0.200105i −0.879655 0.475612i \(-0.842227\pi\)
0.737161 + 0.675717i \(0.236166\pi\)
\(588\) 3.17330 + 20.4949i 0.130865 + 0.845197i
\(589\) −6.52094 4.19075i −0.268691 0.172677i
\(590\) 38.9591 + 13.9427i 1.60392 + 0.574011i
\(591\) 15.1041 + 27.1445i 0.621299 + 1.11657i
\(592\) −7.92123 6.78529i −0.325561 0.278874i
\(593\) −17.6777 22.4791i −0.725938 0.923105i 0.273308 0.961926i \(-0.411882\pi\)
−0.999246 + 0.0388216i \(0.987640\pi\)
\(594\) 9.51525 0.809145i 0.390415 0.0331996i
\(595\) 11.6016 10.0528i 0.475618 0.412126i
\(596\) −8.85084 18.0892i −0.362545 0.740961i
\(597\) 23.9987 6.63587i 0.982200 0.271588i
\(598\) 20.4726 5.77900i 0.837187 0.236321i
\(599\) −26.0372 + 13.4231i −1.06385 + 0.548453i −0.899038 0.437871i \(-0.855733\pi\)
−0.164813 + 0.986325i \(0.552702\pi\)
\(600\) 6.85454 15.0227i 0.279835 0.613300i
\(601\) −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
\(606\) 36.3481 + 4.43843i 1.47654 + 0.180299i
\(607\) −6.03189 11.7002i −0.244827 0.474898i 0.734118 0.679022i \(-0.237596\pi\)
−0.978945 + 0.204124i \(0.934565\pi\)
\(608\) −10.7933 + 30.7085i −0.437727 + 1.24540i
\(609\) −0.111550 0.403421i −0.00452024 0.0163475i
\(610\) 16.5621 11.5342i 0.670579 0.467006i
\(611\) 33.6863 + 38.8760i 1.36280 + 1.57276i
\(612\) −7.61079 + 30.6992i −0.307648 + 1.24094i
\(613\) −30.6279 + 24.0861i −1.23705 + 0.972828i −0.237052 + 0.971497i \(0.576181\pi\)
−0.999999 + 0.00133076i \(0.999576\pi\)
\(614\) 6.05659 + 1.53668i 0.244424 + 0.0620154i
\(615\) 12.9789 7.22188i 0.523358 0.291214i
\(616\) 2.94474 + 2.23968i 0.118647 + 0.0902394i
\(617\) 26.0634 40.5554i 1.04927 1.63270i 0.321463 0.946922i \(-0.395825\pi\)
0.727810 0.685779i \(-0.240538\pi\)
\(618\) −4.03812 12.7424i −0.162437 0.512576i
\(619\) −21.8493 15.5588i −0.878199 0.625363i 0.0494661 0.998776i \(-0.484248\pi\)
−0.927665 + 0.373413i \(0.878187\pi\)
\(620\) −5.52753 5.49618i −0.221991 0.220732i
\(621\) 12.9834 6.69521i 0.521004 0.268669i
\(622\) 22.9120 17.6328i 0.918687 0.707011i
\(623\) −9.43320 7.41835i −0.377933 0.297210i
\(624\) −36.4690 + 6.64596i −1.45993 + 0.266051i
\(625\) 4.33947 + 30.1816i 0.173579 + 1.20727i
\(626\) −9.43315 40.7426i −0.377024 1.62840i
\(627\) −9.51387 + 8.78818i −0.379947 + 0.350966i
\(628\) −1.51113 + 0.926984i −0.0603005 + 0.0369907i
\(629\) 13.7298 0.654029i 0.547441 0.0260778i
\(630\) 12.0226 + 2.84720i 0.478991 + 0.113435i
\(631\) −16.7654 5.80255i −0.667418 0.230996i −0.0277130 0.999616i \(-0.508822\pi\)
−0.639705 + 0.768620i \(0.720944\pi\)
\(632\) −32.7054 + 21.7735i −1.30095 + 0.866102i
\(633\) −21.5617 25.6943i −0.857001 1.02126i
\(634\) 3.36830 0.125095i 0.133772 0.00496816i
\(635\) 16.8189 + 6.73328i 0.667439 + 0.267202i
\(636\) −12.1343 + 31.2863i −0.481155 + 1.24058i
\(637\) 7.55207 31.1300i 0.299224 1.23342i
\(638\) 0.379787 + 0.224608i 0.0150359 + 0.00889233i
\(639\) −0.0117261 + 0.00702164i −0.000463878 + 0.000277772i
\(640\) −17.0908 + 27.9168i −0.675572 + 1.10351i
\(641\) −1.91883 1.10784i −0.0757894 0.0437570i 0.461626 0.887074i \(-0.347266\pi\)
−0.537416 + 0.843317i \(0.680599\pi\)
\(642\) 5.61828 17.4247i 0.221736 0.687699i
\(643\) −0.0925111 0.0422484i −0.00364828 0.00166611i 0.413590 0.910463i \(-0.364275\pi\)
−0.417238 + 0.908797i \(0.637002\pi\)
\(644\) 5.47070 + 1.44921i 0.215576 + 0.0571068i
\(645\) −51.4930 30.8264i −2.02754 1.21379i
\(646\) −17.4100 39.2045i −0.684987 1.54248i
\(647\) 44.2628 17.7202i 1.74015 0.696652i 0.740453 0.672108i \(-0.234611\pi\)
0.999699 0.0245437i \(-0.00781329\pi\)
\(648\) −23.6282 + 9.47154i −0.928202 + 0.372077i
\(649\) −7.62330 10.7054i −0.299241 0.420225i
\(650\) −18.6421 + 17.4060i −0.731205 + 0.682719i
\(651\) 1.30083 1.95537i 0.0509836 0.0766370i
\(652\) −47.3816 17.5191i −1.85561 0.686101i
\(653\) −8.88634 + 17.2371i −0.347749 + 0.674539i −0.996236 0.0866869i \(-0.972372\pi\)
0.648486 + 0.761226i \(0.275402\pi\)
\(654\) −5.41517 + 7.95784i −0.211750 + 0.311176i
\(655\) 11.7527 + 40.0261i 0.459217 + 1.56395i
\(656\) −10.9813 + 4.46887i −0.428747 + 0.174480i
\(657\) 23.0323 3.68717i 0.898575 0.143850i
\(658\) 2.44901 + 13.4643i 0.0954723 + 0.524895i
\(659\) −14.8088 1.41407i −0.576870 0.0550844i −0.197457 0.980312i \(-0.563268\pi\)
−0.379414 + 0.925227i \(0.623874\pi\)
\(660\) −11.2084 + 6.63379i −0.436285 + 0.258220i
\(661\) 16.0791 + 4.72126i 0.625405 + 0.183636i 0.579053 0.815290i \(-0.303422\pi\)
0.0463519 + 0.998925i \(0.485240\pi\)
\(662\) 8.75520 + 13.9424i 0.340280 + 0.541887i
\(663\) 28.9636 39.3405i 1.12485 1.52786i
\(664\) 0.00688732 0.0180437i 0.000267280 0.000700232i
\(665\) −15.2424 + 6.96097i −0.591075 + 0.269935i
\(666\) 6.88593 + 8.65842i 0.266824 + 0.335507i
\(667\) 0.668084 + 0.0960559i 0.0258683 + 0.00371930i
\(668\) 2.64431 38.5111i 0.102311 1.49004i
\(669\) −21.8217 + 3.84858i −0.843675 + 0.148795i
\(670\) −33.1745 + 4.59492i −1.28164 + 0.177517i
\(671\) −6.41022 −0.247464
\(672\) −9.25116 3.41703i −0.356871 0.131815i
\(673\) −4.08726 + 28.4275i −0.157552 + 1.09580i 0.745573 + 0.666424i \(0.232176\pi\)
−0.903125 + 0.429377i \(0.858733\pi\)
\(674\) −6.58692 19.6970i −0.253719 0.758700i
\(675\) −10.1577 + 14.2678i −0.390970 + 0.549169i
\(676\) 30.5610 + 6.55717i 1.17542 + 0.252199i
\(677\) 8.60559 + 9.02528i 0.330740 + 0.346870i 0.868016 0.496537i \(-0.165395\pi\)
−0.537276 + 0.843406i \(0.680547\pi\)
\(678\) −10.2069 + 9.23201i −0.391992 + 0.354553i
\(679\) −1.65851 + 5.64838i −0.0636479 + 0.216765i
\(680\) −8.84743 42.2202i −0.339284 1.61907i
\(681\) 1.54964 + 19.4832i 0.0593823 + 0.746598i
\(682\) 0.443043 + 2.43580i 0.0169650 + 0.0932714i
\(683\) −20.0702 3.86821i −0.767964 0.148013i −0.209801 0.977744i \(-0.567282\pi\)
−0.558163 + 0.829731i \(0.688494\pi\)
\(684\) 17.4120 29.8122i 0.665766 1.13990i
\(685\) −48.6623 + 14.2885i −1.85929 + 0.545937i
\(686\) 12.8965 13.2448i 0.492392 0.505689i
\(687\) 11.0247 35.4601i 0.420617 1.35289i
\(688\) 37.8236 + 29.3982i 1.44201 + 1.12080i
\(689\) 35.7676 37.5119i 1.36264 1.42909i
\(690\) −11.9796 + 15.9195i −0.456056 + 0.606045i
\(691\) −14.6673 + 10.4446i −0.557971 + 0.397329i −0.823961 0.566646i \(-0.808241\pi\)
0.265990 + 0.963976i \(0.414301\pi\)
\(692\) 1.20439 + 0.199009i 0.0457842 + 0.00756517i
\(693\) −2.61669 2.92430i −0.0993997 0.111085i
\(694\) 6.24667 + 14.0665i 0.237120 + 0.533957i
\(695\) −27.5635 + 31.8100i −1.04554 + 1.20662i
\(696\) −1.14311 0.276909i −0.0433295 0.0104962i
\(697\) 6.49053 14.2123i 0.245846 0.538329i
\(698\) −10.9444 5.78820i −0.414254 0.219087i
\(699\) −2.62552 + 7.21439i −0.0993063 + 0.272873i
\(700\) −6.62615 + 1.46118i −0.250445 + 0.0552274i
\(701\) 5.46761 + 28.3687i 0.206509 + 1.07147i 0.926159 + 0.377133i \(0.123090\pi\)
−0.719650 + 0.694337i \(0.755698\pi\)
\(702\) 39.3162 + 0.407614i 1.48389 + 0.0153844i
\(703\) −14.5810 3.53730i −0.549931 0.133412i
\(704\) 9.52162 4.17388i 0.358860 0.157309i
\(705\) −47.1568 9.86537i −1.77603 0.371551i
\(706\) 37.1067 1.37810i 1.39653 0.0518656i
\(707\) −7.52353 13.0311i −0.282952 0.490086i
\(708\) 27.7702 + 21.3568i 1.04367 + 0.802638i
\(709\) −2.54014 + 7.33925i −0.0953969 + 0.275631i −0.982596 0.185756i \(-0.940527\pi\)
0.887199 + 0.461387i \(0.152648\pi\)
\(710\) 0.0102418 0.0155753i 0.000384368 0.000584530i
\(711\) 38.4367 16.1033i 1.44149 0.603919i
\(712\) −31.1003 + 13.0379i −1.16553 + 0.488615i
\(713\) 2.04750 + 3.18597i 0.0766793 + 0.119315i
\(714\) 11.9602 5.08621i 0.447600 0.190347i
\(715\) 19.9123 2.86295i 0.744677 0.107068i
\(716\) 8.64421 + 26.7786i 0.323049 + 1.00076i
\(717\) 12.4270 23.1959i 0.464094 0.866268i
\(718\) −8.58869 + 6.60976i −0.320527 + 0.246674i
\(719\) −1.88108 + 39.4888i −0.0701526 + 1.47268i 0.639858 + 0.768493i \(0.278993\pi\)
−0.710011 + 0.704191i \(0.751310\pi\)
\(720\) 23.4095 25.6392i 0.872419 0.955516i
\(721\) −3.18610 + 4.47425i −0.118657 + 0.166630i
\(722\) 2.63266 + 19.7797i 0.0979774 + 0.736122i
\(723\) −11.5938 + 27.6818i −0.431179 + 1.02950i
\(724\) 5.11241 + 2.77274i 0.190001 + 0.103048i
\(725\) −0.764730 + 0.264676i −0.0284013 + 0.00982980i
\(726\) −22.7455 1.68413i −0.844163 0.0625039i
\(727\) −26.4253 33.6025i −0.980059 1.24625i −0.969192 0.246306i \(-0.920783\pi\)
−0.0108671 0.999941i \(1.49654\pi\)
\(728\) 11.1928 + 10.3321i 0.414834 + 0.382934i
\(729\) 26.5109 5.11566i 0.981887 0.189469i
\(730\) −26.1060 + 18.1808i −0.966228 + 0.672902i
\(731\) −62.8460 + 6.00107i −2.32444 + 0.221958i
\(732\) 16.3422 4.99109i 0.604025 0.184476i
\(733\) −23.6543 + 12.1947i −0.873693 + 0.450420i −0.835910 0.548866i \(-0.815060\pi\)
−0.0377827 + 0.999286i \(0.512029\pi\)
\(734\) 10.8795 35.6655i 0.401571 1.31644i
\(735\) 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
\(738\) 12.3345 2.44724i 0.454040 0.0900840i
\(739\) 15.1767 3.68182i 0.558283 0.135438i 0.0533176 0.998578i \(-0.483020\pi\)
0.504965 + 0.863140i \(0.331505\pi\)
\(740\) −13.5903 6.55405i −0.499589 0.240932i
\(741\) −42.4333 + 32.2961i −1.55882 + 1.18643i
\(742\) 13.2706 3.74603i 0.487180 0.137521i
\(743\) −0.967274 + 0.0923635i −0.0354858 + 0.00338849i −0.112784 0.993620i \(-0.535977\pi\)
0.0772980 + 0.997008i \(0.475371\pi\)
\(744\) −3.02604 5.86486i −0.110940 0.215016i
\(745\) −19.0776 22.0167i −0.698948 0.806628i
\(746\) 16.3072 34.7399i 0.597050 1.27192i
\(747\) −0.0107990 + 0.0174075i −0.000395113 + 0.000636906i
\(748\) −5.35749 + 12.6099i −0.195889 + 0.461064i
\(749\) −7.10937 + 2.46058i −0.259771 +