Properties

Label 731.2.z.a.67.17
Level 731
Weight 2
Character 731.67
Analytic conductor 5.837
Analytic rank 0
Dimension 768
CM no
Inner twists 4

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Newspace parameters

Level: \( N \) = \( 731 = 17 \cdot 43 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 731.z (of order \(42\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.83706438776\)
Analytic rank: \(0\)
Dimension: \(768\)
Relative dimension: \(64\) over \(\Q(\zeta_{42})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label 67.17
Character \(\chi\) = 731.67
Dual form 731.2.z.a.611.17

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.792393 + 0.993630i) q^{2} +(-0.413423 - 2.74288i) q^{3} +(0.0856288 + 0.375164i) q^{4} +(1.48606 + 2.17965i) q^{5} +(3.05300 + 1.76265i) q^{6} +(0.708079 - 0.408809i) q^{7} +(-2.73071 - 1.31504i) q^{8} +(-4.48577 + 1.38368i) q^{9} +O(q^{10})\) \(q+(-0.792393 + 0.993630i) q^{2} +(-0.413423 - 2.74288i) q^{3} +(0.0856288 + 0.375164i) q^{4} +(1.48606 + 2.17965i) q^{5} +(3.05300 + 1.76265i) q^{6} +(0.708079 - 0.408809i) q^{7} +(-2.73071 - 1.31504i) q^{8} +(-4.48577 + 1.38368i) q^{9} +(-3.34332 - 0.250547i) q^{10} +(2.11142 + 0.481917i) q^{11} +(0.993631 - 0.389971i) q^{12} +(0.498181 + 6.64777i) q^{13} +(-0.154872 + 1.02751i) q^{14} +(5.36416 - 4.97721i) q^{15} +(2.77705 - 1.33736i) q^{16} +(-2.84622 + 2.98313i) q^{17} +(2.17963 - 5.55361i) q^{18} +(-4.49650 - 1.38699i) q^{19} +(-0.690479 + 0.744159i) q^{20} +(-1.41405 - 1.77317i) q^{21} +(-2.15192 + 1.71610i) q^{22} +(0.451288 - 0.486373i) q^{23} +(-2.47806 + 8.03368i) q^{24} +(-0.715803 + 1.82384i) q^{25} +(-7.00018 - 4.77264i) q^{26} +(2.03918 + 4.23439i) q^{27} +(0.214003 + 0.230640i) q^{28} +(-0.901551 + 5.98140i) q^{29} +(0.694983 + 9.27390i) q^{30} +(-2.14452 + 0.841664i) q^{31} +(0.477180 - 2.09066i) q^{32} +(0.448933 - 5.99060i) q^{33} +(-0.708802 - 5.19190i) q^{34} +(1.94331 + 0.935850i) q^{35} +(-0.903217 - 1.56442i) q^{36} +(4.64999 + 2.68467i) q^{37} +(4.94115 - 3.36882i) q^{38} +(18.0281 - 4.11479i) q^{39} +(-1.19167 - 7.90623i) q^{40} +(2.17041 + 1.73084i) q^{41} +2.88236 q^{42} +(2.61334 - 6.01419i) q^{43} +0.833394i q^{44} +(-9.68207 - 7.72119i) q^{45} +(0.125677 + 0.833812i) q^{46} +(1.69810 + 7.43988i) q^{47} +(-4.81631 - 7.06423i) q^{48} +(-3.16575 + 5.48324i) q^{49} +(-1.24502 - 2.15644i) q^{50} +(9.35906 + 6.57354i) q^{51} +(-2.45135 + 0.756140i) q^{52} +(-0.262991 + 3.50938i) q^{53} +(-5.82325 - 1.32912i) q^{54} +(2.08728 + 5.31831i) q^{55} +(-2.47116 + 0.185188i) q^{56} +(-1.94539 + 12.9068i) q^{57} +(-5.22891 - 5.63543i) q^{58} +(-6.14217 + 2.95791i) q^{59} +(2.32660 + 1.58625i) q^{60} +(-0.443072 - 0.173893i) q^{61} +(0.863004 - 2.79779i) q^{62} +(-2.61062 + 2.81358i) q^{63} +(5.54279 + 6.95044i) q^{64} +(-13.7495 + 10.9649i) q^{65} +(5.59671 + 5.19299i) q^{66} +(8.36864 + 2.58138i) q^{67} +(-1.36288 - 0.812357i) q^{68} +(-1.52064 - 1.03675i) q^{69} +(-2.46976 + 1.18937i) q^{70} +(4.28834 + 4.62173i) q^{71} +(14.0689 + 2.12055i) q^{72} +(11.0935 - 0.831345i) q^{73} +(-6.35219 + 2.49305i) q^{74} +(5.29850 + 1.20935i) q^{75} +(0.135318 - 1.80569i) q^{76} +(1.69206 - 0.521932i) q^{77} +(-10.1968 + 21.1738i) q^{78} +(4.76008 - 2.74824i) q^{79} +(7.04185 + 4.06561i) q^{80} +(-0.864494 + 0.589402i) q^{81} +(-3.43964 + 0.785075i) q^{82} +(-5.62426 + 0.847722i) q^{83} +(0.544145 - 0.682336i) q^{84} +(-10.7318 - 1.77065i) q^{85} +(3.90508 + 7.36229i) q^{86} +16.7790 q^{87} +(-5.13192 - 4.09257i) q^{88} +(-4.58948 + 0.691753i) q^{89} +(15.3440 - 3.50217i) q^{90} +(3.07042 + 4.50348i) q^{91} +(0.221113 + 0.127660i) q^{92} +(3.19518 + 5.53421i) q^{93} +(-8.73805 - 4.20802i) q^{94} +(-3.65893 - 11.8620i) q^{95} +(-5.93172 - 0.444521i) q^{96} +(12.4485 + 2.84129i) q^{97} +(-2.93979 - 7.49047i) q^{98} +(-10.1381 + 0.759748i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 768q - 24q^{2} - 144q^{4} - 16q^{8} - 98q^{9} + O(q^{10}) \) \( 768q - 24q^{2} - 144q^{4} - 16q^{8} - 98q^{9} - 18q^{13} - 30q^{15} - 160q^{16} - 16q^{17} - 54q^{18} - 68q^{19} - 50q^{21} - 88q^{25} - 26q^{26} - 50q^{32} - 36q^{33} - 38q^{34} + 14q^{35} + 328q^{36} - 44q^{38} - 148q^{42} + 102q^{43} - 64q^{47} + 298q^{49} + 40q^{50} - 31q^{51} - 38q^{52} - 28q^{53} - 80q^{55} - 16q^{59} - 34q^{60} - 64q^{64} - 126q^{66} + 74q^{67} - 132q^{68} - 28q^{69} + 50q^{70} + 26q^{72} - 258q^{76} - 112q^{77} + 90q^{81} + 48q^{83} - 298q^{84} + 36q^{85} + 142q^{86} + 192q^{87} - 120q^{89} - 188q^{93} + 64q^{94} + 146q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/731\mathbb{Z}\right)^\times\).

\(n\) \(173\) \(562\)
\(\chi(n)\) \(-1\) \(e\left(\frac{20}{21}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.792393 + 0.993630i −0.560307 + 0.702602i −0.978614 0.205703i \(-0.934052\pi\)
0.418308 + 0.908305i \(0.362623\pi\)
\(3\) −0.413423 2.74288i −0.238690 1.58360i −0.711659 0.702525i \(-0.752056\pi\)
0.472969 0.881079i \(-0.343182\pi\)
\(4\) 0.0856288 + 0.375164i 0.0428144 + 0.187582i
\(5\) 1.48606 + 2.17965i 0.664587 + 0.974771i 0.999471 + 0.0325114i \(0.0103505\pi\)
−0.334884 + 0.942259i \(0.608697\pi\)
\(6\) 3.05300 + 1.76265i 1.24638 + 0.719600i
\(7\) 0.708079 0.408809i 0.267629 0.154515i −0.360181 0.932882i \(-0.617285\pi\)
0.627809 + 0.778367i \(0.283952\pi\)
\(8\) −2.73071 1.31504i −0.965452 0.464937i
\(9\) −4.48577 + 1.38368i −1.49526 + 0.461225i
\(10\) −3.34332 0.250547i −1.05725 0.0792299i
\(11\) 2.11142 + 0.481917i 0.636616 + 0.145303i 0.528635 0.848850i \(-0.322704\pi\)
0.107981 + 0.994153i \(0.465561\pi\)
\(12\) 0.993631 0.389971i 0.286836 0.112575i
\(13\) 0.498181 + 6.64777i 0.138171 + 1.84376i 0.449287 + 0.893387i \(0.351678\pi\)
−0.311116 + 0.950372i \(0.600703\pi\)
\(14\) −0.154872 + 1.02751i −0.0413912 + 0.274613i
\(15\) 5.36416 4.97721i 1.38502 1.28511i
\(16\) 2.77705 1.33736i 0.694263 0.334339i
\(17\) −2.84622 + 2.98313i −0.690309 + 0.723515i
\(18\) 2.17963 5.55361i 0.513744 1.30900i
\(19\) −4.49650 1.38699i −1.03157 0.318197i −0.267655 0.963515i \(-0.586249\pi\)
−0.763914 + 0.645318i \(0.776725\pi\)
\(20\) −0.690479 + 0.744159i −0.154396 + 0.166399i
\(21\) −1.41405 1.77317i −0.308571 0.386936i
\(22\) −2.15192 + 1.71610i −0.458791 + 0.365873i
\(23\) 0.451288 0.486373i 0.0941001 0.101416i −0.684246 0.729251i \(-0.739868\pi\)
0.778346 + 0.627836i \(0.216059\pi\)
\(24\) −2.47806 + 8.03368i −0.505833 + 1.63987i
\(25\) −0.715803 + 1.82384i −0.143161 + 0.364767i
\(26\) −7.00018 4.77264i −1.37285 0.935992i
\(27\) 2.03918 + 4.23439i 0.392440 + 0.814909i
\(28\) 0.214003 + 0.230640i 0.0404427 + 0.0435869i
\(29\) −0.901551 + 5.98140i −0.167414 + 1.11072i 0.734439 + 0.678674i \(0.237445\pi\)
−0.901853 + 0.432043i \(0.857793\pi\)
\(30\) 0.694983 + 9.27390i 0.126886 + 1.69318i
\(31\) −2.14452 + 0.841664i −0.385168 + 0.151167i −0.550021 0.835151i \(-0.685380\pi\)
0.164853 + 0.986318i \(0.447285\pi\)
\(32\) 0.477180 2.09066i 0.0843543 0.369581i
\(33\) 0.448933 5.99060i 0.0781493 1.04283i
\(34\) −0.708802 5.19190i −0.121559 0.890403i
\(35\) 1.94331 + 0.935850i 0.328480 + 0.158187i
\(36\) −0.903217 1.56442i −0.150536 0.260736i
\(37\) 4.64999 + 2.68467i 0.764454 + 0.441358i 0.830893 0.556433i \(-0.187830\pi\)
−0.0664387 + 0.997791i \(0.521164\pi\)
\(38\) 4.94115 3.36882i 0.801561 0.546495i
\(39\) 18.0281 4.11479i 2.88680 0.658894i
\(40\) −1.19167 7.90623i −0.188420 1.25009i
\(41\) 2.17041 + 1.73084i 0.338961 + 0.270312i 0.778145 0.628085i \(-0.216161\pi\)
−0.439184 + 0.898397i \(0.644732\pi\)
\(42\) 2.88236 0.444757
\(43\) 2.61334 6.01419i 0.398530 0.917155i
\(44\) 0.833394i 0.125639i
\(45\) −9.68207 7.72119i −1.44332 1.15101i
\(46\) 0.125677 + 0.833812i 0.0185301 + 0.122939i
\(47\) 1.69810 + 7.43988i 0.247694 + 1.08522i 0.933822 + 0.357737i \(0.116452\pi\)
−0.686128 + 0.727480i \(0.740691\pi\)
\(48\) −4.81631 7.06423i −0.695175 1.01963i
\(49\) −3.16575 + 5.48324i −0.452250 + 0.783320i
\(50\) −1.24502 2.15644i −0.176072 0.304966i
\(51\) 9.35906 + 6.57354i 1.31053 + 0.920480i
\(52\) −2.45135 + 0.756140i −0.339941 + 0.104858i
\(53\) −0.262991 + 3.50938i −0.0361246 + 0.482050i 0.949575 + 0.313539i \(0.101515\pi\)
−0.985700 + 0.168510i \(0.946104\pi\)
\(54\) −5.82325 1.32912i −0.792444 0.180870i
\(55\) 2.08728 + 5.31831i 0.281449 + 0.717121i
\(56\) −2.47116 + 0.185188i −0.330222 + 0.0247467i
\(57\) −1.94539 + 12.9068i −0.257673 + 1.70955i
\(58\) −5.22891 5.63543i −0.686590 0.739968i
\(59\) −6.14217 + 2.95791i −0.799643 + 0.385088i −0.788643 0.614852i \(-0.789216\pi\)
−0.0110000 + 0.999939i \(0.503501\pi\)
\(60\) 2.32660 + 1.58625i 0.300363 + 0.204784i
\(61\) −0.443072 0.173893i −0.0567295 0.0222647i 0.336807 0.941574i \(-0.390653\pi\)
−0.393536 + 0.919309i \(0.628748\pi\)
\(62\) 0.863004 2.79779i 0.109602 0.355320i
\(63\) −2.61062 + 2.81358i −0.328907 + 0.354477i
\(64\) 5.54279 + 6.95044i 0.692849 + 0.868805i
\(65\) −13.7495 + 10.9649i −1.70542 + 1.36002i
\(66\) 5.59671 + 5.19299i 0.688907 + 0.639212i
\(67\) 8.36864 + 2.58138i 1.02239 + 0.315366i 0.760227 0.649657i \(-0.225088\pi\)
0.262164 + 0.965023i \(0.415564\pi\)
\(68\) −1.36288 0.812357i −0.165274 0.0985128i
\(69\) −1.52064 1.03675i −0.183063 0.124810i
\(70\) −2.46976 + 1.18937i −0.295192 + 0.142157i
\(71\) 4.28834 + 4.62173i 0.508932 + 0.548498i 0.934284 0.356530i \(-0.116040\pi\)
−0.425352 + 0.905028i \(0.639850\pi\)
\(72\) 14.0689 + 2.12055i 1.65804 + 0.249909i
\(73\) 11.0935 0.831345i 1.29840 0.0973016i 0.592475 0.805589i \(-0.298151\pi\)
0.705924 + 0.708287i \(0.250532\pi\)
\(74\) −6.35219 + 2.49305i −0.738428 + 0.289811i
\(75\) 5.29850 + 1.20935i 0.611818 + 0.139643i
\(76\) 0.135318 1.80569i 0.0155220 0.207127i
\(77\) 1.69206 0.521932i 0.192828 0.0594796i
\(78\) −10.1968 + 21.1738i −1.15456 + 2.39746i
\(79\) 4.76008 2.74824i 0.535551 0.309201i −0.207723 0.978188i \(-0.566605\pi\)
0.743274 + 0.668987i \(0.233272\pi\)
\(80\) 7.04185 + 4.06561i 0.787303 + 0.454549i
\(81\) −0.864494 + 0.589402i −0.0960549 + 0.0654891i
\(82\) −3.43964 + 0.785075i −0.379844 + 0.0866970i
\(83\) −5.62426 + 0.847722i −0.617343 + 0.0930495i −0.450266 0.892894i \(-0.648671\pi\)
−0.167077 + 0.985944i \(0.553433\pi\)
\(84\) 0.544145 0.682336i 0.0593711 0.0744490i
\(85\) −10.7318 1.77065i −1.16403 0.192054i
\(86\) 3.90508 + 7.36229i 0.421096 + 0.793897i
\(87\) 16.7790 1.79890
\(88\) −5.13192 4.09257i −0.547065 0.436270i
\(89\) −4.58948 + 0.691753i −0.486484 + 0.0733256i −0.387704 0.921784i \(-0.626732\pi\)
−0.0987793 + 0.995109i \(0.531494\pi\)
\(90\) 15.3440 3.50217i 1.61740 0.369161i
\(91\) 3.07042 + 4.50348i 0.321868 + 0.472093i
\(92\) 0.221113 + 0.127660i 0.0230526 + 0.0133094i
\(93\) 3.19518 + 5.53421i 0.331325 + 0.573871i
\(94\) −8.73805 4.20802i −0.901261 0.434024i
\(95\) −3.65893 11.8620i −0.375399 1.21701i
\(96\) −5.93172 0.444521i −0.605404 0.0453687i
\(97\) 12.4485 + 2.84129i 1.26395 + 0.288489i 0.801414 0.598110i \(-0.204082\pi\)
0.462538 + 0.886599i \(0.346939\pi\)
\(98\) −2.93979 7.49047i −0.296964 0.756651i
\(99\) −10.1381 + 0.759748i −1.01892 + 0.0763576i
\(100\) −0.745531 0.112371i −0.0745531 0.0112371i
\(101\) −6.15085 + 5.70716i −0.612032 + 0.567883i −0.924088 0.382181i \(-0.875173\pi\)
0.312055 + 0.950064i \(0.398983\pi\)
\(102\) −13.9477 + 4.09061i −1.38103 + 0.405031i
\(103\) −7.79856 5.31697i −0.768415 0.523897i 0.114503 0.993423i \(-0.463472\pi\)
−0.882919 + 0.469526i \(0.844425\pi\)
\(104\) 7.38170 18.8083i 0.723835 1.84430i
\(105\) 1.76352 5.71718i 0.172102 0.557940i
\(106\) −3.27863 3.04212i −0.318448 0.295477i
\(107\) 1.86057 1.48376i 0.179868 0.143440i −0.529417 0.848362i \(-0.677589\pi\)
0.709285 + 0.704922i \(0.249018\pi\)
\(108\) −1.41398 + 1.12761i −0.136060 + 0.108505i
\(109\) 6.28007 6.76831i 0.601522 0.648286i −0.356731 0.934207i \(-0.616109\pi\)
0.958253 + 0.285921i \(0.0922993\pi\)
\(110\) −6.93839 2.14021i −0.661549 0.204061i
\(111\) 5.44133 13.8643i 0.516468 1.31594i
\(112\) 1.41965 2.08224i 0.134144 0.196753i
\(113\) 1.13348 + 2.35370i 0.106629 + 0.221418i 0.947456 0.319887i \(-0.103645\pi\)
−0.840827 + 0.541305i \(0.817931\pi\)
\(114\) −11.2831 12.1603i −1.05676 1.13891i
\(115\) 1.73077 + 0.260871i 0.161395 + 0.0243264i
\(116\) −2.32121 + 0.173950i −0.215519 + 0.0161509i
\(117\) −11.4331 29.1310i −1.05699 2.69316i
\(118\) 1.92794 8.44688i 0.177482 0.777598i
\(119\) −0.795814 + 3.27585i −0.0729522 + 0.300297i
\(120\) −21.1932 + 6.53724i −1.93467 + 0.596765i
\(121\) −5.68482 2.73767i −0.516802 0.248879i
\(122\) 0.523872 0.302458i 0.0474291 0.0273832i
\(123\) 3.85020 6.66875i 0.347161 0.601301i
\(124\) −0.499395 0.732478i −0.0448470 0.0657785i
\(125\) 7.82045 1.78497i 0.699483 0.159652i
\(126\) −0.727017 4.82345i −0.0647679 0.429707i
\(127\) 8.40332 10.5374i 0.745674 0.935046i −0.253807 0.967255i \(-0.581683\pi\)
0.999481 + 0.0322088i \(0.0102541\pi\)
\(128\) −7.00938 −0.619547
\(129\) −17.5766 4.68168i −1.54754 0.412199i
\(130\) 22.3504i 1.96026i
\(131\) −10.6576 8.49919i −0.931163 0.742578i 0.0353017 0.999377i \(-0.488761\pi\)
−0.966465 + 0.256799i \(0.917332\pi\)
\(132\) 2.28590 0.344544i 0.198962 0.0299887i
\(133\) −3.75089 + 0.856117i −0.325244 + 0.0742347i
\(134\) −9.19619 + 6.26986i −0.794430 + 0.541633i
\(135\) −6.19917 + 10.7373i −0.533539 + 0.924117i
\(136\) 11.6951 4.40317i 1.00285 0.377568i
\(137\) 12.1943 + 5.87248i 1.04183 + 0.501720i 0.874928 0.484253i \(-0.160909\pi\)
0.166904 + 0.985973i \(0.446623\pi\)
\(138\) 2.23509 0.689434i 0.190264 0.0586886i
\(139\) −5.23956 0.392651i −0.444414 0.0333042i −0.149356 0.988784i \(-0.547720\pi\)
−0.295058 + 0.955479i \(0.595339\pi\)
\(140\) −0.184694 + 0.809197i −0.0156095 + 0.0683896i
\(141\) 19.7047 7.73351i 1.65943 0.651279i
\(142\) −7.99033 + 0.598793i −0.670534 + 0.0502496i
\(143\) −2.15180 + 14.2763i −0.179943 + 1.19384i
\(144\) −10.6067 + 9.84161i −0.883895 + 0.820135i
\(145\) −14.3771 + 6.92366i −1.19396 + 0.574979i
\(146\) −7.96439 + 11.6816i −0.659138 + 0.966777i
\(147\) 16.3487 + 6.41638i 1.34842 + 0.529214i
\(148\) −0.609021 + 1.97440i −0.0500612 + 0.162294i
\(149\) −15.2813 14.1790i −1.25189 1.16159i −0.979944 0.199274i \(-0.936142\pi\)
−0.271948 0.962312i \(-0.587668\pi\)
\(150\) −5.40014 + 4.30647i −0.440919 + 0.351621i
\(151\) −6.50165 8.15281i −0.529097 0.663466i 0.443416 0.896316i \(-0.353766\pi\)
−0.972513 + 0.232850i \(0.925195\pi\)
\(152\) 10.4547 + 9.70054i 0.847988 + 0.786818i
\(153\) 8.63978 17.3199i 0.698485 1.40023i
\(154\) −0.822171 + 2.09486i −0.0662524 + 0.168808i
\(155\) −5.02143 3.42355i −0.403331 0.274987i
\(156\) 3.08745 + 6.41115i 0.247194 + 0.513303i
\(157\) 15.2683 14.1669i 1.21854 1.13064i 0.231055 0.972941i \(-0.425782\pi\)
0.987487 0.157701i \(-0.0504081\pi\)
\(158\) −1.04113 + 6.90745i −0.0828279 + 0.549527i
\(159\) 9.73453 0.729502i 0.771998 0.0578533i
\(160\) 5.26604 2.06677i 0.416317 0.163392i
\(161\) 0.120714 0.528881i 0.00951357 0.0416817i
\(162\) 0.0993719 1.32603i 0.00780739 0.104182i
\(163\) −6.86679 22.2616i −0.537848 1.74366i −0.660116 0.751164i \(-0.729493\pi\)
0.122268 0.992497i \(-0.460983\pi\)
\(164\) −0.463501 + 0.962470i −0.0361934 + 0.0751563i
\(165\) 13.7246 7.92389i 1.06846 0.616874i
\(166\) 3.61431 6.26017i 0.280525 0.485883i
\(167\) 7.39019 + 10.8394i 0.571870 + 0.838780i 0.997822 0.0659662i \(-0.0210129\pi\)
−0.425951 + 0.904746i \(0.640061\pi\)
\(168\) 1.52958 + 6.70154i 0.118010 + 0.517035i
\(169\) −31.0898 + 4.68604i −2.39153 + 0.360465i
\(170\) 10.2632 9.26043i 0.787152 0.710242i
\(171\) 22.0894 1.68922
\(172\) 2.48009 + 0.465444i 0.189105 + 0.0354898i
\(173\) 21.4294i 1.62925i −0.579988 0.814625i \(-0.696943\pi\)
0.579988 0.814625i \(-0.303057\pi\)
\(174\) −13.2956 + 16.6721i −1.00793 + 1.26391i
\(175\) 0.238757 + 1.58405i 0.0180483 + 0.119743i
\(176\) 6.50801 1.48541i 0.490559 0.111967i
\(177\) 10.6525 + 15.6244i 0.800693 + 1.17440i
\(178\) 2.94933 5.10838i 0.221061 0.382890i
\(179\) 9.33848 + 16.1747i 0.697991 + 1.20896i 0.969162 + 0.246425i \(0.0792558\pi\)
−0.271171 + 0.962531i \(0.587411\pi\)
\(180\) 2.06765 4.29352i 0.154114 0.320020i
\(181\) 4.45006 + 14.4267i 0.330770 + 1.07233i 0.956363 + 0.292181i \(0.0943811\pi\)
−0.625592 + 0.780150i \(0.715143\pi\)
\(182\) −6.90778 0.517666i −0.512038 0.0383720i
\(183\) −0.293791 + 1.28718i −0.0217177 + 0.0951514i
\(184\) −1.87194 + 0.734681i −0.138001 + 0.0541614i
\(185\) 1.05852 + 14.1250i 0.0778239 + 1.03849i
\(186\) −8.03080 1.21045i −0.588847 0.0887544i
\(187\) −7.44717 + 4.92698i −0.544591 + 0.360297i
\(188\) −2.64577 + 1.27414i −0.192963 + 0.0929259i
\(189\) 3.17496 + 2.16465i 0.230944 + 0.157455i
\(190\) 14.6857 + 5.76372i 1.06541 + 0.418144i
\(191\) 0.693566 + 0.213937i 0.0501847 + 0.0154799i 0.319746 0.947503i \(-0.396402\pi\)
−0.269561 + 0.962983i \(0.586879\pi\)
\(192\) 16.7727 18.0767i 1.21047 1.30457i
\(193\) 10.4561 8.33845i 0.752646 0.600215i −0.170189 0.985411i \(-0.554438\pi\)
0.922835 + 0.385196i \(0.125866\pi\)
\(194\) −12.6873 + 10.1178i −0.910894 + 0.726414i
\(195\) 35.7597 + 33.1801i 2.56081 + 2.37608i
\(196\) −2.32820 0.718153i −0.166300 0.0512967i
\(197\) −3.49768 1.37274i −0.249200 0.0978037i 0.237454 0.971399i \(-0.423687\pi\)
−0.486653 + 0.873595i \(0.661782\pi\)
\(198\) 7.27848 10.6756i 0.517259 0.758680i
\(199\) −0.890678 1.84951i −0.0631385 0.131108i 0.867012 0.498288i \(-0.166038\pi\)
−0.930150 + 0.367180i \(0.880323\pi\)
\(200\) 4.35307 4.03906i 0.307808 0.285604i
\(201\) 3.62064 24.0214i 0.255380 1.69434i
\(202\) −0.796907 10.6340i −0.0560702 0.748204i
\(203\) 1.80688 + 4.60386i 0.126818 + 0.323128i
\(204\) −1.66475 + 4.07407i −0.116556 + 0.285242i
\(205\) −0.547276 + 7.30288i −0.0382234 + 0.510056i
\(206\) 11.4626 3.53575i 0.798639 0.246348i
\(207\) −1.35139 + 2.80619i −0.0939282 + 0.195044i
\(208\) 10.2739 + 17.7949i 0.712368 + 1.23386i
\(209\) −8.82558 5.09545i −0.610478 0.352460i
\(210\) 4.28336 + 6.28254i 0.295580 + 0.433536i
\(211\) −23.0645 + 5.26432i −1.58783 + 0.362411i −0.923065 0.384645i \(-0.874324\pi\)
−0.664761 + 0.747056i \(0.731467\pi\)
\(212\) −1.33911 + 0.201839i −0.0919706 + 0.0138623i
\(213\) 10.9040 13.6731i 0.747127 0.936867i
\(214\) 3.02444i 0.206747i
\(215\) 16.9924 3.24129i 1.15887 0.221054i
\(216\) 14.2445i 0.969215i
\(217\) −1.17441 + 1.47267i −0.0797243 + 0.0999711i
\(218\) 1.74891 + 11.6032i 0.118451 + 0.785870i
\(219\) −6.86660 30.0846i −0.464002 2.03293i
\(220\) −1.81651 + 1.23848i −0.122469 + 0.0834980i
\(221\) −21.2491 17.4348i −1.42937 1.17279i
\(222\) 9.46429 + 16.3926i 0.635202 + 1.10020i
\(223\) 7.88755 + 3.79844i 0.528189 + 0.254363i 0.678920 0.734212i \(-0.262448\pi\)
−0.150731 + 0.988575i \(0.548163\pi\)
\(224\) −0.516802 1.67543i −0.0345303 0.111944i
\(225\) 0.687327 9.17174i 0.0458218 0.611449i
\(226\) −3.23688 0.738796i −0.215314 0.0491440i
\(227\) −11.3883 + 4.46959i −0.755870 + 0.296657i −0.711810 0.702372i \(-0.752124\pi\)
−0.0440599 + 0.999029i \(0.514029\pi\)
\(228\) −5.00875 + 0.375354i −0.331713 + 0.0248584i
\(229\) 1.92730 + 0.290494i 0.127360 + 0.0191964i 0.212413 0.977180i \(-0.431868\pi\)
−0.0850530 + 0.996376i \(0.527106\pi\)
\(230\) −1.63066 + 1.51303i −0.107522 + 0.0997662i
\(231\) −2.13113 4.42534i −0.140218 0.291166i
\(232\) 10.3277 15.1479i 0.678044 0.994507i
\(233\) 8.13334 + 3.19210i 0.532833 + 0.209122i 0.616475 0.787374i \(-0.288560\pi\)
−0.0836422 + 0.996496i \(0.526655\pi\)
\(234\) 38.0050 + 11.7230i 2.48446 + 0.766355i
\(235\) −13.6929 + 14.7574i −0.893224 + 0.962667i
\(236\) −1.63565 2.05104i −0.106472 0.133511i
\(237\) −9.50602 11.9202i −0.617482 0.774298i
\(238\) −2.62438 3.38651i −0.170114 0.219515i
\(239\) −4.80018 1.48066i −0.310498 0.0957759i 0.135590 0.990765i \(-0.456707\pi\)
−0.446088 + 0.894989i \(0.647183\pi\)
\(240\) 8.24024 20.9958i 0.531905 1.35527i
\(241\) 15.1937 22.2850i 0.978711 1.43551i 0.0800860 0.996788i \(-0.474480\pi\)
0.898625 0.438718i \(-0.144567\pi\)
\(242\) 7.22485 3.47930i 0.464431 0.223658i
\(243\) 11.5641 + 12.4632i 0.741840 + 0.799513i
\(244\) 0.0272987 0.181115i 0.00174762 0.0115947i
\(245\) −16.6561 + 1.24820i −1.06412 + 0.0797445i
\(246\) 3.57539 + 9.10995i 0.227959 + 0.580829i
\(247\) 6.98030 30.5827i 0.444146 1.94593i
\(248\) 6.96289 + 0.521797i 0.442144 + 0.0331341i
\(249\) 4.65040 + 15.0762i 0.294707 + 0.955417i
\(250\) −4.42328 + 9.18503i −0.279753 + 0.580912i
\(251\) 3.45317 + 5.98106i 0.217962 + 0.377521i 0.954185 0.299218i \(-0.0967258\pi\)
−0.736223 + 0.676739i \(0.763392\pi\)
\(252\) −1.27910 0.738487i −0.0805755 0.0465203i
\(253\) 1.18725 0.809452i 0.0746417 0.0508898i
\(254\) 3.81157 + 16.6996i 0.239159 + 1.04783i
\(255\) −0.419897 + 30.1682i −0.0262950 + 1.88921i
\(256\) −5.53140 + 6.93615i −0.345712 + 0.433509i
\(257\) −13.7703 −0.858970 −0.429485 0.903074i \(-0.641305\pi\)
−0.429485 + 0.903074i \(0.641305\pi\)
\(258\) 18.5795 13.7549i 1.15671 0.856345i
\(259\) 4.39008 0.272786
\(260\) −5.29098 4.21942i −0.328133 0.261677i
\(261\) −4.23217 28.0786i −0.261965 1.73802i
\(262\) 16.8901 3.85506i 1.04347 0.238166i
\(263\) −0.484323 + 0.330206i −0.0298647 + 0.0203614i −0.578160 0.815923i \(-0.696229\pi\)
0.548296 + 0.836285i \(0.315277\pi\)
\(264\) −9.10379 + 15.7682i −0.560299 + 0.970467i
\(265\) −8.04004 + 4.64192i −0.493896 + 0.285151i
\(266\) 2.12152 4.40538i 0.130079 0.270111i
\(267\) 3.79479 + 12.3024i 0.232238 + 0.752896i
\(268\) −0.251846 + 3.36065i −0.0153840 + 0.205285i
\(269\) 20.4404 + 4.66539i 1.24627 + 0.284454i 0.794272 0.607563i \(-0.207853\pi\)
0.452003 + 0.892017i \(0.350710\pi\)
\(270\) −5.75670 14.6678i −0.350341 0.892655i
\(271\) 1.48929 + 19.8732i 0.0904681 + 1.20721i 0.839006 + 0.544121i \(0.183137\pi\)
−0.748538 + 0.663091i \(0.769244\pi\)
\(272\) −3.91458 + 12.0907i −0.237356 + 0.733107i
\(273\) 11.0831 10.2836i 0.670782 0.622395i
\(274\) −15.4978 + 7.46334i −0.936255 + 0.450877i
\(275\) −2.39029 + 3.50592i −0.144140 + 0.211415i
\(276\) 0.258742 0.659265i 0.0155745 0.0396831i
\(277\) 9.48736 30.7573i 0.570040 1.84803i 0.0414631 0.999140i \(-0.486798\pi\)
0.528577 0.848885i \(-0.322726\pi\)
\(278\) 4.54195 4.89505i 0.272408 0.293586i
\(279\) 8.45525 6.74283i 0.506202 0.403683i
\(280\) −4.07594 5.11107i −0.243584 0.305445i
\(281\) −4.05167 3.75940i −0.241702 0.224267i 0.550015 0.835155i \(-0.314622\pi\)
−0.791717 + 0.610888i \(0.790813\pi\)
\(282\) −7.92960 + 25.7071i −0.472201 + 1.53084i
\(283\) −15.9546 6.26173i −0.948404 0.372221i −0.159818 0.987146i \(-0.551091\pi\)
−0.788585 + 0.614925i \(0.789186\pi\)
\(284\) −1.36670 + 2.00458i −0.0810988 + 0.118950i
\(285\) −31.0233 + 14.9400i −1.83766 + 0.884971i
\(286\) −12.4803 13.4505i −0.737974 0.795347i
\(287\) 2.24441 + 0.338290i 0.132483 + 0.0199686i
\(288\) 0.752281 + 10.0385i 0.0443286 + 0.591524i
\(289\) −0.798104 16.9813i −0.0469473 0.998897i
\(290\) 4.51279 19.7718i 0.265000 1.16104i
\(291\) 2.64682 35.3194i 0.155159 2.07046i
\(292\) 1.26182 + 4.09071i 0.0738422 + 0.239391i
\(293\) −13.8306 6.66048i −0.807994 0.389109i −0.0161777 0.999869i \(-0.505150\pi\)
−0.791816 + 0.610760i \(0.790864\pi\)
\(294\) −19.3301 + 11.1602i −1.12735 + 0.650878i
\(295\) −15.5749 8.99216i −0.906805 0.523544i
\(296\) −9.16732 13.4460i −0.532840 0.781532i
\(297\) 2.26492 + 9.92328i 0.131424 + 0.575807i
\(298\) 26.1974 3.94863i 1.51758 0.228738i
\(299\) 3.45812 + 2.75776i 0.199988 + 0.159485i
\(300\) 2.09136i 0.120745i
\(301\) −0.608207 5.32688i −0.0350565 0.307036i
\(302\) 13.2527 0.762609
\(303\) 18.1970 + 14.5116i 1.04539 + 0.833669i
\(304\) −14.3419 + 2.16170i −0.822565 + 0.123982i
\(305\) −0.279406 1.22416i −0.0159987 0.0700951i
\(306\) 10.3634 + 22.3089i 0.592437 + 1.27531i
\(307\) −1.07045 + 1.85408i −0.0610941 + 0.105818i −0.894955 0.446157i \(-0.852792\pi\)
0.833861 + 0.551975i \(0.186126\pi\)
\(308\) 0.340699 + 0.590108i 0.0194131 + 0.0336245i
\(309\) −11.3597 + 23.5887i −0.646232 + 1.34191i
\(310\) 7.38070 2.27664i 0.419195 0.129305i
\(311\) −6.05874 0.454040i −0.343560 0.0257462i −0.0981669 0.995170i \(-0.531298\pi\)
−0.245393 + 0.969424i \(0.578917\pi\)
\(312\) −54.6406 12.4714i −3.09341 0.706052i
\(313\) −20.8011 + 8.16384i −1.17575 + 0.461447i −0.871142 0.491031i \(-0.836620\pi\)
−0.304607 + 0.952478i \(0.598525\pi\)
\(314\) 1.97817 + 26.3968i 0.111634 + 1.48966i
\(315\) −10.0122 1.50909i −0.564121 0.0850276i
\(316\) 1.43864 + 1.55049i 0.0809299 + 0.0872216i
\(317\) 12.9600 + 26.9117i 0.727904 + 1.51151i 0.854442 + 0.519547i \(0.173899\pi\)
−0.126537 + 0.991962i \(0.540386\pi\)
\(318\) −6.98872 + 10.2506i −0.391908 + 0.574824i
\(319\) −4.78608 + 12.1947i −0.267969 + 0.682775i
\(320\) −6.91262 + 22.4101i −0.386427 + 1.25277i
\(321\) −4.83898 4.48992i −0.270085 0.250603i
\(322\) 0.429860 + 0.539027i 0.0239551 + 0.0300388i
\(323\) 16.9356 9.46598i 0.942321 0.526701i
\(324\) −0.295148 0.273858i −0.0163971 0.0152143i
\(325\) −12.4810 3.84989i −0.692323 0.213553i
\(326\) 27.5610 + 10.8169i 1.52646 + 0.599092i
\(327\) −21.1610 14.4273i −1.17021 0.797833i
\(328\) −3.65063 7.58061i −0.201572 0.418569i
\(329\) 4.24388 + 4.57382i 0.233973 + 0.252163i
\(330\) −3.00185 + 19.9160i −0.165247 + 1.09634i
\(331\) 2.20373 + 29.4067i 0.121128 + 1.61634i 0.644753 + 0.764391i \(0.276960\pi\)
−0.523625 + 0.851949i \(0.675421\pi\)
\(332\) −0.799634 2.03743i −0.0438856 0.111819i
\(333\) −24.5735 5.60874i −1.34662 0.307357i
\(334\) −16.6263 1.24597i −0.909752 0.0681765i
\(335\) 6.80980 + 22.0768i 0.372059 + 1.20619i
\(336\) −6.29825 3.03308i −0.343598 0.165468i
\(337\) −17.2329 + 9.94939i −0.938733 + 0.541978i −0.889563 0.456812i \(-0.848991\pi\)
−0.0491703 + 0.998790i \(0.515658\pi\)
\(338\) 19.9792 34.6050i 1.08673 1.88226i
\(339\) 5.98733 4.08209i 0.325187 0.221709i
\(340\) −0.254670 4.17782i −0.0138114 0.226574i
\(341\) −4.93359 + 0.743620i −0.267169 + 0.0402693i
\(342\) −17.5035 + 21.9487i −0.946481 + 1.18685i
\(343\) 10.9001i 0.588549i
\(344\) −15.0452 + 12.9864i −0.811181 + 0.700177i
\(345\) 4.85514i 0.261392i
\(346\) 21.2929 + 16.9805i 1.14472 + 0.912880i
\(347\) 2.37242 + 15.7400i 0.127358 + 0.844966i 0.957712 + 0.287729i \(0.0929004\pi\)
−0.830354 + 0.557237i \(0.811862\pi\)
\(348\) 1.43677 + 6.29488i 0.0770187 + 0.337441i
\(349\) 8.04201 5.48295i 0.430479 0.293496i −0.328630 0.944459i \(-0.606587\pi\)
0.759110 + 0.650963i \(0.225635\pi\)
\(350\) −1.76314 1.01795i −0.0942440 0.0544118i
\(351\) −27.1334 + 15.6655i −1.44827 + 0.836161i
\(352\) 2.01505 4.18430i 0.107403 0.223024i
\(353\) 18.0138 5.55652i 0.958778 0.295744i 0.224409 0.974495i \(-0.427955\pi\)
0.734368 + 0.678751i \(0.237479\pi\)
\(354\) −23.9658 1.79599i −1.27377 0.0954559i
\(355\) −3.70103 + 16.2153i −0.196430 + 0.860617i
\(356\) −0.652512 1.66257i −0.0345831 0.0881163i
\(357\) 9.31428 + 0.828514i 0.492964 + 0.0438496i
\(358\) −23.4714 3.53775i −1.24050 0.186976i
\(359\) 19.7008 18.2797i 1.03977 0.964764i 0.0403611 0.999185i \(-0.487149\pi\)
0.999407 + 0.0344209i \(0.0109587\pi\)
\(360\) 16.2852 + 33.8166i 0.858307 + 1.78229i
\(361\) 2.59627 + 1.77011i 0.136646 + 0.0931635i
\(362\) −17.8610 7.00994i −0.938756 0.368434i
\(363\) −5.15886 + 16.7246i −0.270770 + 0.877815i
\(364\) −1.42663 + 1.53754i −0.0747757 + 0.0805890i
\(365\) 18.2977 + 22.9446i 0.957747 + 1.20098i
\(366\) −1.04619 1.31188i −0.0546850 0.0685729i
\(367\) 10.9160 11.7647i 0.569813 0.614112i −0.380738 0.924683i \(-0.624330\pi\)
0.950550 + 0.310571i \(0.100520\pi\)
\(368\) 0.602796 1.95422i 0.0314229 0.101871i
\(369\) −12.1309 4.76102i −0.631508 0.247849i
\(370\) −14.8738 10.1408i −0.773249 0.527193i
\(371\) 1.24845 + 2.59243i 0.0648161 + 0.134592i
\(372\) −1.80264 + 1.67261i −0.0934625 + 0.0867206i
\(373\) 23.0100 + 3.46819i 1.19141 + 0.179576i 0.714666 0.699466i \(-0.246579\pi\)
0.476744 + 0.879042i \(0.341817\pi\)
\(374\) 1.00549 11.3038i 0.0519925 0.584507i
\(375\) −8.12911 20.7126i −0.419785 1.06960i
\(376\) 5.14671 22.5492i 0.265421 1.16289i
\(377\) −40.2121 3.01348i −2.07103 0.155202i
\(378\) −4.66668 + 1.43948i −0.240028 + 0.0740388i
\(379\) 11.2380 23.3360i 0.577258 1.19869i −0.384076 0.923302i \(-0.625480\pi\)
0.961334 0.275387i \(-0.0888059\pi\)
\(380\) 4.13688 2.38843i 0.212217 0.122524i
\(381\) −32.3771 18.6929i −1.65873 0.957667i
\(382\) −0.762151 + 0.519626i −0.0389951 + 0.0265864i
\(383\) −6.54300 28.6667i −0.334332 1.46480i −0.810651 0.585530i \(-0.800887\pi\)
0.476319 0.879272i \(-0.341971\pi\)
\(384\) 2.89784 + 19.2259i 0.147880 + 0.981117i
\(385\) 3.65214 + 2.91248i 0.186130 + 0.148434i
\(386\) 16.9968i 0.865115i
\(387\) −3.40114 + 30.5943i −0.172890 + 1.55519i
\(388\) 4.91352i 0.249446i
\(389\) 1.45853 1.82894i 0.0739503 0.0927307i −0.743480 0.668758i \(-0.766826\pi\)
0.817431 + 0.576027i \(0.195398\pi\)
\(390\) −61.3045 + 9.24017i −3.10428 + 0.467894i
\(391\) 0.166449 + 2.73057i 0.00841769 + 0.138091i
\(392\) 15.8554 10.8100i 0.800820 0.545990i
\(393\) −18.9062 + 32.7464i −0.953690 + 1.65184i
\(394\) 4.13554 2.38765i 0.208345 0.120288i
\(395\) 13.0640 + 6.29128i 0.657321 + 0.316549i
\(396\) −1.15315 3.73841i −0.0579478 0.187862i
\(397\) 14.4986 + 1.08652i 0.727664 + 0.0545309i 0.433411 0.901197i \(-0.357310\pi\)
0.294253 + 0.955727i \(0.404929\pi\)
\(398\) 2.54350 + 0.580536i 0.127494 + 0.0290997i
\(399\) 3.89893 + 9.93432i 0.195191 + 0.497338i
\(400\) 0.451299 + 6.02217i 0.0225650 + 0.301108i
\(401\) 2.36992 15.7234i 0.118348 0.785190i −0.848381 0.529387i \(-0.822422\pi\)
0.966729 0.255803i \(-0.0823399\pi\)
\(402\) 20.9994 + 22.6320i 1.04735 + 1.12878i
\(403\) −6.66355 13.8370i −0.331935 0.689270i
\(404\) −2.66781 1.81888i −0.132729 0.0904928i
\(405\) −2.56938 1.00841i −0.127674 0.0501083i
\(406\) −6.00630 1.85270i −0.298088 0.0919478i
\(407\) 8.52428 + 7.90937i 0.422533 + 0.392053i
\(408\) −16.9124 30.2580i −0.837289 1.49799i
\(409\) 17.1006 + 21.4434i 0.845568 + 1.06031i 0.997412 + 0.0719045i \(0.0229077\pi\)
−0.151843 + 0.988405i \(0.548521\pi\)
\(410\) −6.82271 6.33055i −0.336949 0.312643i
\(411\) 11.0661 35.8755i 0.545851 1.76961i
\(412\) 1.32696 3.38103i 0.0653744 0.166571i
\(413\) −3.13992 + 4.60541i −0.154505 + 0.226618i
\(414\) −1.71748 3.56639i −0.0844097 0.175279i
\(415\) −10.2058 10.9992i −0.500981 0.539929i
\(416\) 14.1360 + 2.13065i 0.693073 + 0.104464i
\(417\) 1.08916 + 14.5338i 0.0533364 + 0.711725i
\(418\) 12.0563 4.73176i 0.589694 0.231438i
\(419\) 30.0337 + 6.85499i 1.46724 + 0.334888i 0.880175 0.474650i \(-0.157425\pi\)
0.587067 + 0.809538i \(0.300282\pi\)
\(420\) 2.29589 + 0.172053i 0.112028 + 0.00839533i
\(421\) −10.8438 + 3.34486i −0.528494 + 0.163019i −0.547508 0.836801i \(-0.684423\pi\)
0.0190143 + 0.999819i \(0.493947\pi\)
\(422\) 13.0454 27.0890i 0.635039 1.31867i
\(423\) −17.9117 31.0239i −0.870895 1.50844i
\(424\) 5.33312 9.23724i 0.258999 0.448600i
\(425\) −3.40341 7.32636i −0.165089 0.355381i
\(426\) 4.94581 + 21.6690i 0.239625 + 1.04987i
\(427\) −0.384818 + 0.0580021i −0.0186227 + 0.00280692i
\(428\) 0.715972 + 0.570969i 0.0346078 + 0.0275988i
\(429\) 40.0478 1.93353
\(430\) −10.2441 + 19.4526i −0.494012 + 0.938086i
\(431\) 10.7149i 0.516117i 0.966129 + 0.258059i \(0.0830827\pi\)
−0.966129 + 0.258059i \(0.916917\pi\)
\(432\) 11.3258 + 9.03202i 0.544913 + 0.434553i
\(433\) 20.1576 3.03826i 0.968711 0.146010i 0.354417 0.935087i \(-0.384679\pi\)
0.614293 + 0.789078i \(0.289441\pi\)
\(434\) −0.532689 2.33386i −0.0255699 0.112029i
\(435\) 24.9346 + 36.5724i 1.19552 + 1.75351i
\(436\) 3.07698 + 1.77650i 0.147361 + 0.0850788i
\(437\) −2.70381 + 1.56105i −0.129341 + 0.0746750i
\(438\) 35.3340 + 17.0159i 1.68832 + 0.813053i
\(439\) −1.13845 3.69078i −0.0543355 0.176151i 0.924337 0.381576i \(-0.124619\pi\)
−0.978673 + 0.205425i \(0.934142\pi\)
\(440\) 1.29403 17.2676i 0.0616905 0.823202i
\(441\) 6.61379 28.9769i 0.314942 1.37985i
\(442\) 34.1614 7.29846i 1.62489 0.347152i
\(443\) −1.18073 15.7558i −0.0560983 0.748580i −0.952345 0.305024i \(-0.901336\pi\)
0.896246 0.443556i \(-0.146283\pi\)
\(444\) 5.66732 + 0.854211i 0.268959 + 0.0405391i
\(445\) −8.32803 8.97549i −0.394787 0.425479i
\(446\) −10.0243 + 4.82744i −0.474664 + 0.228586i
\(447\) −32.5736 + 47.7767i −1.54068 + 2.25976i
\(448\) 6.76614 + 2.65551i 0.319670 + 0.125461i
\(449\) 1.38063 4.47589i 0.0651559 0.211230i −0.917140 0.398564i \(-0.869509\pi\)
0.982296 + 0.187334i \(0.0599847\pi\)
\(450\) 8.56868 + 7.95058i 0.403932 + 0.374794i
\(451\) 3.74851 + 4.70049i 0.176511 + 0.221337i
\(452\) −0.785967 + 0.626788i −0.0369688 + 0.0294816i
\(453\) −19.6743 + 21.2038i −0.924378 + 0.996242i
\(454\) 4.58292 14.8575i 0.215087 0.697295i
\(455\) −5.25319 + 13.3849i −0.246273 + 0.627494i
\(456\) 22.2852 32.6864i 1.04360 1.53068i
\(457\) −11.9945 + 5.77627i −0.561081 + 0.270202i −0.692855 0.721077i \(-0.743647\pi\)
0.131773 + 0.991280i \(0.457933\pi\)
\(458\) −1.81583 + 1.68484i −0.0848480 + 0.0787274i
\(459\) −18.4357 5.96888i −0.860504 0.278603i
\(460\) 0.0503340 + 0.671660i 0.00234683 + 0.0313163i
\(461\) 10.2000 + 25.9893i 0.475063 + 1.21044i 0.944804 + 0.327636i \(0.106252\pi\)
−0.469741 + 0.882804i \(0.655653\pi\)
\(462\) 6.08585 + 1.38906i 0.283139 + 0.0646247i
\(463\) 1.04582 13.9555i 0.0486032 0.648565i −0.918702 0.394951i \(-0.870762\pi\)
0.967305 0.253614i \(-0.0816194\pi\)
\(464\) 5.49561 + 17.8163i 0.255127 + 0.827103i
\(465\) −7.31443 + 15.1886i −0.339199 + 0.704353i
\(466\) −9.61657 + 5.55213i −0.445479 + 0.257198i
\(467\) −17.6785 + 30.6201i −0.818065 + 1.41693i 0.0890415 + 0.996028i \(0.471620\pi\)
−0.907106 + 0.420902i \(0.861714\pi\)
\(468\) 9.94992 6.78374i 0.459935 0.313578i
\(469\) 6.98095 1.59336i 0.322350 0.0735743i
\(470\) −3.81326 25.2993i −0.175892 1.16697i
\(471\) −45.1704 36.0222i −2.08134 1.65981i
\(472\) 20.6623 0.951058
\(473\) 8.41618 11.4390i 0.386977 0.525968i
\(474\) 19.3767 0.890003
\(475\) 5.74825 7.20807i 0.263748 0.330729i
\(476\) −1.29713 0.0180541i −0.0594537 0.000827508i
\(477\) −3.67612 16.1061i −0.168318 0.737449i
\(478\) 5.27486 3.59634i 0.241267 0.164493i
\(479\) −22.8687 13.2033i −1.04490 0.603272i −0.123681 0.992322i \(-0.539470\pi\)
−0.921217 + 0.389050i \(0.872803\pi\)
\(480\) −7.84601 13.5897i −0.358120 0.620281i
\(481\) −15.5306 + 32.2495i −0.708132 + 1.47045i
\(482\) 10.1037 + 32.7554i 0.460211 + 1.49197i
\(483\) −1.50057 0.112452i −0.0682781 0.00511673i
\(484\) 0.540290 2.36717i 0.0245587 0.107598i
\(485\) 12.3062 + 31.3557i 0.558796 + 1.42379i
\(486\) −21.5471 + 1.61473i −0.977397 + 0.0732458i
\(487\) 1.97087 13.0759i 0.0893086 0.592524i −0.898752 0.438458i \(-0.855525\pi\)
0.988061 0.154066i \(-0.0492370\pi\)
\(488\) 0.981224 + 1.05751i 0.0444179 + 0.0478711i
\(489\) −58.2220 + 28.0382i −2.63289 + 1.26793i
\(490\) 11.9579 17.5390i 0.540203 0.792333i
\(491\) 0.951518 2.42443i 0.0429414 0.109413i −0.907794 0.419416i \(-0.862235\pi\)
0.950736 + 0.310003i \(0.100330\pi\)
\(492\) 2.83157 + 0.873422i 0.127657 + 0.0393769i
\(493\) −15.2773 19.7138i −0.688053 0.887865i
\(494\) 24.8567 + 31.1693i 1.11836 + 1.40238i
\(495\) −16.7219 20.9686i −0.751593 0.942468i
\(496\) −4.82985 + 5.20534i −0.216867 + 0.233727i
\(497\) 4.92588 + 1.51943i 0.220956 + 0.0681559i
\(498\) −18.6651 7.32553i −0.836405 0.328265i
\(499\) −1.48378 + 2.17631i −0.0664232 + 0.0974250i −0.858013 0.513628i \(-0.828301\pi\)
0.791590 + 0.611053i \(0.209254\pi\)
\(500\) 1.33931 + 2.78111i 0.0598959 + 0.124375i
\(501\) 26.6760 24.7517i 1.19180 1.10582i
\(502\) −8.67922 1.30818i −0.387373 0.0583870i
\(503\) 1.61238 0.120831i 0.0718924 0.00538759i −0.0387353 0.999250i \(-0.512333\pi\)
0.110628 + 0.993862i \(0.464714\pi\)
\(504\) 10.8288 4.24999i 0.482353 0.189310i
\(505\) −21.5802 4.92553i −0.960305 0.219183i
\(506\) −0.136472 + 1.82109i −0.00606691 + 0.0809574i
\(507\) 25.7065 + 83.3385i 1.14167 + 3.70119i
\(508\) 4.67284 + 2.25032i 0.207324 + 0.0998418i
\(509\) 17.2746 + 29.9205i 0.765683 + 1.32620i 0.939885 + 0.341491i \(0.110932\pi\)
−0.174202 + 0.984710i \(0.555735\pi\)
\(510\) −29.6433 24.3223i −1.31263 1.07701i
\(511\) 7.51523 5.12380i 0.332454 0.226663i
\(512\) −5.62839 24.6596i −0.248742 1.08981i
\(513\) −3.29611 21.8683i −0.145527 0.965508i
\(514\) 10.9115 13.6826i 0.481286 0.603514i
\(515\) 24.8995i 1.09720i
\(516\) 0.251333 6.99501i 0.0110643 0.307938i
\(517\) 16.5270i 0.726857i
\(518\) −3.47867 + 4.36211i −0.152844 + 0.191660i
\(519\) −58.7784 + 8.85942i −2.58009 + 0.388886i
\(520\) 51.9651 11.8607i 2.27882 0.520126i
\(521\) −11.3903 16.7065i −0.499019 0.731926i 0.491262 0.871012i \(-0.336536\pi\)
−0.990280 + 0.139086i \(0.955583\pi\)
\(522\) 31.2533 + 18.0441i 1.36792 + 0.789769i
\(523\) 20.6327 + 35.7369i 0.902206 + 1.56267i 0.824625 + 0.565680i \(0.191386\pi\)
0.0775814 + 0.996986i \(0.475280\pi\)
\(524\) 2.27599 4.72615i 0.0994272 0.206463i
\(525\) 4.24614 1.30976i 0.185317 0.0571627i
\(526\) 0.0556720 0.742891i 0.00242741 0.0323916i
\(527\) 3.59299 8.79295i 0.156513 0.383027i
\(528\) −6.76486 17.2366i −0.294403 0.750126i
\(529\) 1.68589 + 22.4967i 0.0732998 + 0.978117i
\(530\) 1.75853 11.6671i 0.0763855 0.506785i
\(531\) 23.4596 21.7673i 1.01806 0.944620i
\(532\) −0.642369 1.33389i −0.0278502 0.0578316i
\(533\) −10.4250 + 15.2907i −0.451557 + 0.662312i
\(534\) −15.2310 5.97773i −0.659110 0.258682i
\(535\) 5.99901 + 1.85045i 0.259360 + 0.0800019i
\(536\) −19.4577 18.0541i −0.840444 0.779818i
\(537\) 40.5046 32.3014i 1.74790 1.39391i
\(538\) −20.8325 + 16.6134i −0.898154 + 0.716254i
\(539\) −9.32668 + 10.0518i −0.401729 + 0.432960i
\(540\) −4.55907 1.40629i −0.196191 0.0605169i
\(541\) −18.2375 7.15769i −0.784091 0.307733i −0.0606859 0.998157i \(-0.519329\pi\)
−0.723405 + 0.690424i \(0.757424\pi\)
\(542\) −20.9267 14.2676i −0.898881 0.612846i
\(543\) 37.7311 18.1703i 1.61920 0.779764i
\(544\) 4.87856 + 7.37397i 0.209166 + 0.316156i
\(545\) 24.0852 + 3.63025i 1.03169 + 0.155503i
\(546\) 1.43594 + 19.1612i 0.0614524 + 0.820025i
\(547\) 6.49061 2.54738i 0.277518 0.108918i −0.222500 0.974933i \(-0.571422\pi\)
0.500018 + 0.866015i \(0.333327\pi\)
\(548\) −1.15896 + 5.07773i −0.0495083 + 0.216910i
\(549\) 2.22813 + 0.166975i 0.0950941 + 0.00712632i
\(550\) −1.58953 5.15313i −0.0677778 0.219730i
\(551\) 12.3499 25.6449i 0.526125 1.09251i
\(552\) 2.78905 + 4.83077i 0.118710 + 0.205611i
\(553\) 2.24701 3.89193i 0.0955526 0.165502i
\(554\) 23.0436 + 33.7988i 0.979030 + 1.43597i
\(555\) 38.3055 8.74298i 1.62598 0.371119i
\(556\) −0.301349 1.99932i −0.0127800 0.0847900i
\(557\) 13.0171 16.3229i 0.551551 0.691623i −0.425420 0.904996i \(-0.639873\pi\)
0.976971 + 0.213373i \(0.0684449\pi\)
\(558\) 13.7444i 0.581845i
\(559\) 41.2828 + 14.3767i 1.74608 + 0.608070i
\(560\) 6.64824 0.280940
\(561\) 16.5930 + 18.3898i 0.700556 + 0.776417i
\(562\) 6.94596 1.04694i 0.292998 0.0441623i
\(563\) 6.95937 + 30.4910i 0.293302 + 1.28504i 0.879898 + 0.475162i \(0.157611\pi\)
−0.586596 + 0.809880i \(0.699532\pi\)
\(564\) 4.58863 + 6.73028i 0.193216 + 0.283396i
\(565\) −3.44583 + 5.96836i −0.144967 + 0.251091i
\(566\) 18.8642 10.8912i 0.792920 0.457793i
\(567\) −0.371177 + 0.770756i −0.0155880 + 0.0323687i
\(568\) −5.63244 18.2599i −0.236332 0.766170i
\(569\) 1.51461 20.2110i 0.0634956 0.847290i −0.870993 0.491296i \(-0.836523\pi\)
0.934488 0.355994i \(-0.115858\pi\)
\(570\) 9.73779 42.6641i 0.407871 1.78700i
\(571\) 36.7772 14.4340i 1.53908 0.604043i 0.563973 0.825793i \(-0.309272\pi\)
0.975104 + 0.221750i \(0.0711768\pi\)
\(572\) −5.54021 + 0.415181i −0.231648 + 0.0173596i
\(573\) 0.300067 1.99082i 0.0125355 0.0831676i
\(574\) −2.11459 + 1.96205i −0.0882612 + 0.0818944i
\(575\) 0.564031 + 1.17122i 0.0235217 + 0.0488434i
\(576\) −34.4808 23.5086i −1.43670 0.979526i
\(577\) 12.5131 31.8829i 0.520927 1.32730i −0.392295 0.919839i \(-0.628319\pi\)
0.913222 0.407461i \(-0.133586\pi\)
\(578\) 17.5055 + 12.6628i 0.728133 + 0.526704i
\(579\) −27.1942 25.2325i −1.13015 1.04863i
\(580\) −3.82861 4.80092i −0.158974 0.199347i
\(581\) −3.63587 + 2.89951i −0.150841 + 0.120292i
\(582\) 32.9971 + 30.6168i 1.36777 + 1.26911i
\(583\) −2.24651 + 7.28301i −0.0930410 + 0.301631i
\(584\) −31.3865 12.3183i −1.29878 0.509734i
\(585\) 46.5053 68.2107i 1.92276 2.82016i
\(586\) 17.5773 8.46480i 0.726113 0.349678i
\(587\) −32.6362 + 30.2820i −1.34704 + 1.24987i −0.405023 + 0.914307i \(0.632736\pi\)
−0.942017 + 0.335564i \(0.891073\pi\)
\(588\) −1.00728 + 6.68287i −0.0415395 + 0.275597i
\(589\) 10.8102 0.810115i 0.445428 0.0333802i
\(590\) 21.2763 8.35034i 0.875932 0.343778i
\(591\) −2.31924 + 10.1613i −0.0954008 + 0.417978i
\(592\) 16.5036 + 1.23678i 0.678295 + 0.0508312i
\(593\) 10.7120 3.30421i 0.439888 0.135688i −0.0668971 0.997760i \(-0.521310\pi\)
0.506785 + 0.862072i \(0.330834\pi\)
\(594\) −11.6548 5.61264i −0.478201 0.230290i
\(595\) −8.32285 + 3.13352i −0.341203 + 0.128462i
\(596\) 4.01092 6.94712i 0.164294 0.284565i
\(597\) −4.70477 + 3.20765i −0.192553 + 0.131281i
\(598\) −5.48038 + 1.25086i −0.224109 + 0.0511515i
\(599\) −8.55062 + 1.28880i −0.349369 + 0.0526589i −0.321383 0.946949i \(-0.604148\pi\)
−0.0279863 + 0.999608i \(0.508909\pi\)
\(600\) −12.8783 10.2701i −0.525755 0.419276i
\(601\) 4.50910i 0.183930i −0.995762 0.0919650i \(-0.970685\pi\)
0.995762 0.0919650i \(-0.0293148\pi\)
\(602\) 5.77488 + 3.61665i 0.235367 + 0.147404i
\(603\) −41.1115 −1.67419
\(604\) 2.50191 3.13730i 0.101801 0.127655i
\(605\) −2.48084 16.4593i −0.100860 0.669165i
\(606\) −28.8383 + 6.58215i −1.17148 + 0.267382i
\(607\) 20.4185 + 29.9484i 0.828760 + 1.21557i 0.974085 + 0.226183i \(0.0726248\pi\)
−0.145325 + 0.989384i \(0.546423\pi\)
\(608\) −5.04537 + 8.73883i −0.204617 + 0.354406i
\(609\) 11.8808 6.85941i 0.481436 0.277957i
\(610\) 1.43776 + 0.692388i 0.0582132 + 0.0280340i
\(611\) −48.6126 + 14.9950i −1.96666 + 0.606633i
\(612\) 7.23761 + 1.75826i 0.292563 + 0.0710734i
\(613\) −4.51554 + 19.7839i −0.182381 + 0.799063i 0.798112 + 0.602509i \(0.205832\pi\)
−0.980493 + 0.196554i \(0.937025\pi\)
\(614\) −0.994050 2.53280i −0.0401166 0.102215i
\(615\) 20.2572 1.51807i 0.816850 0.0612144i
\(616\) −5.30689 0.799885i −0.213821 0.0322283i
\(617\) 1.46596 + 1.57993i 0.0590172 + 0.0636054i 0.761870 0.647730i \(-0.224281\pi\)
−0.702853 + 0.711335i \(0.748091\pi\)
\(618\) −14.4371 29.9789i −0.580744 1.20593i
\(619\) −4.00449 + 5.87351i −0.160954 + 0.236076i −0.898241 0.439504i \(-0.855154\pi\)
0.737287 + 0.675580i \(0.236107\pi\)
\(620\) 0.854416 2.17702i 0.0343142 0.0874311i
\(621\) 2.97975 + 0.919132i 0.119573 + 0.0368835i
\(622\) 5.25206 5.66037i 0.210588 0.226960i
\(623\) −2.96692 + 2.36604i −0.118867 + 0.0947933i
\(624\) 44.5620 35.5370i 1.78391 1.42262i
\(625\) 22.6935 + 21.0565i 0.907741 + 0.842261i
\(626\) 8.37084 27.1376i 0.334566 1.08464i
\(627\) −10.3275 + 26.3141i −0.412441 + 1.05088i
\(628\) 6.62232 + 4.51502i 0.264259 + 0.180169i
\(629\) −21.2436 + 6.23036i −0.847038 + 0.248421i
\(630\) 9.43305 8.75259i 0.375822 0.348711i
\(631\) −2.81154 0.423771i −0.111925 0.0168701i 0.0928406 0.995681i \(-0.470405\pi\)
−0.204766 + 0.978811i \(0.565643\pi\)
\(632\) −16.6124 + 1.24493i −0.660808 + 0.0495207i
\(633\) 23.9748 + 61.0868i 0.952913 + 2.42798i
\(634\) −37.0096 8.44720i −1.46984 0.335481i
\(635\) 35.4558 + 2.65705i 1.40702 + 0.105442i
\(636\) 1.10724 + 3.58958i 0.0439049 + 0.142336i
\(637\) −38.0284 18.3135i −1.50674 0.725608i
\(638\) −8.32460 14.4186i −0.329574 0.570839i
\(639\) −25.6314 14.7983i −1.01396 0.585413i
\(640\) −10.4164 15.2780i −0.411743 0.603916i
\(641\) 35.4246 8.08544i 1.39919 0.319356i 0.544616 0.838686i \(-0.316676\pi\)
0.854574 + 0.519330i \(0.173818\pi\)
\(642\) 8.29569 1.25037i 0.327405 0.0493483i
\(643\) −36.9345 29.4543i −1.45656 1.16156i −0.955063 0.296401i \(-0.904213\pi\)
−0.501492 0.865163i \(-0.667215\pi\)
\(644\) 0.208754 0.00822606
\(645\) −15.9155 45.2682i −0.626674 1.78243i
\(646\) −4.01397 + 24.3285i −0.157927 + 0.957191i
\(647\) −10.0316 + 12.5792i −0.394383 + 0.494540i −0.938891 0.344215i \(-0.888145\pi\)
0.544508 + 0.838756i \(0.316716\pi\)
\(648\) 3.13577 0.472641i 0.123185 0.0185671i
\(649\) −14.3941 + 3.28537i −0.565020 + 0.128962i
\(650\) 13.7153 9.35090i 0.537957 0.366773i
\(651\) 4.52488 + 2.61244i 0.177344 + 0.102390i
\(652\) 7.76375 4.48240i 0.304052 0.175545i
\(653\) −7.21298 + 14.9779i −0.282266 + 0.586131i −0.993106 0.117223i \(-0.962601\pi\)
0.710840 + 0.703354i \(0.248315\pi\)
\(654\) 31.1033 9.59409i 1.21623 0.375158i
\(655\) 2.68736 35.8603i 0.105004 1.40118i
\(656\) 8.34210 + 1.90403i 0.325704 + 0.0743399i
\(657\) −48.6127 + 19.0791i −1.89656 + 0.744346i
\(658\) −7.90751 + 0.592586i −0.308267 + 0.0231014i
\(659\) 29.5345 + 4.45161i 1.15050 + 0.173410i 0.696477 0.717580i \(-0.254750\pi\)
0.454024 + 0.890990i \(0.349988\pi\)
\(660\) 4.14798 + 4.47046i 0.161460 + 0.174012i
\(661\) −3.31628 + 1.59704i −0.128988 + 0.0621176i −0.497265 0.867599i \(-0.665662\pi\)
0.368276 + 0.929716i \(0.379948\pi\)
\(662\) −30.9656 21.1120i −1.20351 0.820542i
\(663\) −39.0369 + 65.4917i −1.51607 + 2.54349i
\(664\) 16.4730 + 5.08125i 0.639277 + 0.197191i
\(665\) −7.44010 6.90340i −0.288515 0.267702i
\(666\) 25.0449 19.9726i 0.970470 0.773924i
\(667\) 2.50233 + 3.13782i 0.0968907 + 0.121497i
\(668\) −3.43375 + 3.70070i −0.132856 + 0.143185i
\(669\) 7.15779 23.2050i 0.276736 0.897156i
\(670\) −27.3322 10.7271i −1.05594 0.414424i
\(671\) −0.851706 0.580684i −0.0328798 0.0224170i
\(672\) −4.38185 + 2.11019i −0.169033 + 0.0814022i
\(673\) 25.4328 + 27.4101i 0.980363 + 1.05658i 0.998389 + 0.0567423i \(0.0180713\pi\)
−0.0180261 + 0.999838i \(0.505738\pi\)
\(674\) 3.76919 25.0069i 0.145184 0.963230i
\(675\) −9.18249 + 0.688132i −0.353434 + 0.0264862i
\(676\) −4.42022 11.2625i −0.170009 0.433175i
\(677\) 9.53339 + 2.17593i 0.366398 + 0.0836279i 0.401756 0.915747i \(-0.368400\pi\)
−0.0353581 + 0.999375i \(0.511257\pi\)
\(678\) −0.688231 + 9.18381i −0.0264314 + 0.352702i
\(679\) 9.97605 3.07720i 0.382846 0.118092i
\(680\) 26.9771 + 18.9479i 1.03452 + 0.726620i
\(681\) 16.9678 + 29.3890i 0.650206 + 1.12619i
\(682\) 3.17046 5.49141i 0.121403 0.210277i
\(683\) −8.79476 12.8995i −0.336522 0.493587i 0.620259 0.784397i \(-0.287028\pi\)
−0.956781 + 0.290810i \(0.906075\pi\)
\(684\) 1.89149 + 8.28716i 0.0723229 + 0.316867i
\(685\) 5.32157 + 35.3063i 0.203327 + 1.34898i
\(686\) −10.8306 8.63716i −0.413516 0.329768i
\(687\) 5.40646i 0.206269i
\(688\) −0.785743 20.1967i −0.0299562 0.769991i
\(689\) −23.4605 −0.893775
\(690\) 4.82421 + 3.84718i 0.183655 + 0.146460i
\(691\) 0.281410 + 1.86703i 0.0107053 + 0.0710254i 0.993546 0.113433i \(-0.0361849\pi\)
−0.982840 + 0.184459i \(0.940947\pi\)
\(692\) 8.03956 1.83498i 0.305618 0.0697554i
\(693\) −6.86801 + 4.68253i −0.260894 + 0.177875i
\(694\) −17.5196 10.1149i −0.665035 0.383958i
\(695\) −6.93048 12.0039i −0.262888 0.455335i
\(696\) −45.8186 22.0651i −1.73675 0.836374i
\(697\) −11.3408 + 1.54825i −0.429563 + 0.0586443i
\(698\) −0.924414 + 12.3354i −0.0349896 + 0.466903i
\(699\) 5.39305 23.6285i 0.203984 0.893712i
\(700\) −0.573833 + 0.225213i −0.0216889 + 0.00851225i
\(701\) −2.18171 29.1129i −0.0824020 1.09958i −0.873155 0.487443i \(-0.837930\pi\)
0.790753 0.612136i \(-0.209689\pi\)
\(702\) 5.93464 39.3738i 0.223989 1.48607i
\(703\) −17.1851 18.5211i −0.648148 0.698537i
\(704\) 8.35360 + 17.3464i 0.314838 + 0.653768i
\(705\) 46.1388 + 31.4569i 1.73769 + 1.18473i
\(706\) −8.75289 + 22.3020i −0.329419 + 0.839347i
\(707\) −2.02215 + 6.55564i −0.0760507 + 0.246550i
\(708\) −4.94955 + 5.33434i −0.186015 + 0.200477i
\(709\) −8.72948 + 6.96153i −0.327842 + 0.261446i −0.773553 0.633731i \(-0.781522\pi\)
0.445711 + 0.895177i \(0.352951\pi\)
\(710\) −13.1793 16.5263i −0.494610 0.620222i
\(711\) −17.5500 + 18.9144i −0.658175 + 0.709344i
\(712\) 13.4422 + 4.14637i 0.503768 + 0.155392i
\(713\) −0.558436 + 1.42287i −0.0209136 + 0.0532870i
\(714\) −8.20381 + 8.59844i −0.307020 + 0.321788i
\(715\) −34.3151 + 16.5253i −1.28331 + 0.618010i
\(716\) −5.26854 + 4.88849i −0.196894 + 0.182691i
\(717\) −2.07677 + 13.7785i −0.0775584 + 0.514567i
\(718\) 2.55244 + 34.0600i 0.0952564 + 1.27111i
\(719\) −31.2062 + 12.2475i −1.16380 + 0.456756i −0.867060 0.498203i \(-0.833993\pi\)
−0.296736 + 0.954960i \(0.595898\pi\)
\(720\) −37.2136 8.49376i −1.38687 0.316544i
\(721\) −7.69562 0.576707i −0.286600 0.0214777i
\(722\) −3.81610 + 1.17711i −0.142020 + 0.0438075i
\(723\) −67.4067 32.4613i −2.50688 1.20725i
\(724\) −5.03135 + 2.90485i −0.186989 + 0.107958i
\(725\) −10.2638 5.92578i −0.381186 0.220078i
\(726\) −12.5302 18.3785i −0.465041 0.682089i
\(727\) −10.4555 45.8084i −0.387772 1.69894i −0.672306 0.740273i \(-0.734696\pi\)
0.284534 0.958666i \(-0.408161\pi\)
\(728\) −2.46217 16.3354i −0.0912541 0.605431i
\(729\) 27.4471 34.4175i 1.01656 1.27472i
\(730\) −37.2975 −1.38044
\(731\) 10.5030 + 24.9136i 0.388466 + 0.921463i
\(732\) −0.508063 −0.0187785
\(733\) 12.4675 15.6337i 0.460498 0.577446i −0.496318 0.868141i \(-0.665315\pi\)
0.956816 + 0.290695i \(0.0938865\pi\)
\(734\) 3.03995 + 20.1688i 0.112207 + 0.744443i
\(735\) 10.3097 + 45.1696i 0.380278 + 1.66611i
\(736\) −0.801497 1.17558i −0.0295436 0.0433324i
\(737\) 16.4257 + 9.48336i 0.605047 + 0.349324i
\(738\) 14.3431 8.28101i 0.527978 0.304828i
\(739\) −37.7425 18.1758i −1.38838 0.668609i −0.417613 0.908625i \(-0.637133\pi\)
−0.970769 + 0.240016i \(0.922847\pi\)
\(740\) −5.20854 + 1.60662i −0.191470 + 0.0590606i
\(741\) −86.7705 6.50255i −3.18759 0.238877i
\(742\) −3.56517 0.813728i −0.130882 0.0298729i
\(743\) 8.14593 3.19704i 0.298845 0.117288i −0.211181 0.977447i \(-0.567731\pi\)
0.510026 + 0.860159i \(0.329636\pi\)
\(744\) −1.44739 19.3141i −0.0530640 0.708090i
\(745\) 8.19627 54.3787i 0.300288 1.99228i
\(746\) −21.6790 + 20.1152i −0.793726 + 0.736470i
\(747\) 24.0562 11.5848i 0.880169 0.423867i
\(748\) −2.48612 2.37202i −0.0909016 0.0867296i
\(749\) 0.710858 1.81124i 0.0259742 0.0661812i
\(750\) 27.0221 + 8.33523i 0.986709 + 0.304360i
\(751\) −32.6755 + 35.2158i −1.19235 + 1.28504i −0.243284 + 0.969955i \(0.578225\pi\)
−0.949062 + 0.315088i \(0.897966\pi\)
\(752\) 14.6655 + 18.3900i