Properties

Label 177.3.g.a.10.2
Level $177$
Weight $3$
Character 177.10
Analytic conductor $4.823$
Analytic rank $0$
Dimension $560$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 177 = 3 \cdot 59 \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 177.g (of order \(58\), degree \(28\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.82290067918\)
Analytic rank: \(0\)
Dimension: \(560\)
Relative dimension: \(20\) over \(\Q(\zeta_{58})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{58}]$

Embedding invariants

Embedding label 10.2
Character \(\chi\) \(=\) 177.10
Dual form 177.3.g.a.124.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-3.48729 - 1.38946i) q^{2} +(-1.72190 - 0.187268i) q^{3} +(7.32661 + 6.94014i) q^{4} +(0.951158 - 1.11979i) q^{5} +(5.74456 + 3.04557i) q^{6} +(1.10368 + 0.664063i) q^{7} +(-9.60207 - 20.7545i) q^{8} +(2.92986 + 0.644911i) q^{9} +O(q^{10})\) \(q+(-3.48729 - 1.38946i) q^{2} +(-1.72190 - 0.187268i) q^{3} +(7.32661 + 6.94014i) q^{4} +(0.951158 - 1.11979i) q^{5} +(5.74456 + 3.04557i) q^{6} +(1.10368 + 0.664063i) q^{7} +(-9.60207 - 20.7545i) q^{8} +(2.92986 + 0.644911i) q^{9} +(-4.87287 + 2.58343i) q^{10} +(-13.0628 - 0.708243i) q^{11} +(-11.3160 - 13.3222i) q^{12} +(-1.53834 - 6.98874i) q^{13} +(-2.92617 - 3.84931i) q^{14} +(-1.84750 + 1.75004i) q^{15} +(2.46210 + 45.4108i) q^{16} +(-3.43897 + 2.06916i) q^{17} +(-9.32120 - 6.31993i) q^{18} +(-4.35868 + 15.6986i) q^{19} +(14.7403 - 1.60310i) q^{20} +(-1.77607 - 1.35013i) q^{21} +(44.5696 + 20.6201i) q^{22} +(14.2965 - 9.69329i) q^{23} +(12.6471 + 37.5353i) q^{24} +(3.69532 + 22.5405i) q^{25} +(-4.34597 + 26.5093i) q^{26} +(-4.92415 - 1.65914i) q^{27} +(3.47756 + 12.5250i) q^{28} +(18.4242 + 46.2413i) q^{29} +(8.87438 - 3.53588i) q^{30} +(-40.0881 + 11.1304i) q^{31} +(25.3033 - 75.0976i) q^{32} +(22.3601 + 3.66576i) q^{33} +(14.8677 - 2.43744i) q^{34} +(1.79339 - 0.604262i) q^{35} +(16.9902 + 25.0587i) q^{36} +(-2.59493 + 5.60885i) q^{37} +(37.0126 - 48.6892i) q^{38} +(1.34010 + 12.3220i) q^{39} +(-32.3738 - 8.98854i) q^{40} +(-23.7600 + 35.0433i) q^{41} +(4.31771 + 7.17609i) q^{42} +(14.3679 - 0.779003i) q^{43} +(-90.7906 - 95.8464i) q^{44} +(3.50893 - 2.66742i) q^{45} +(-63.3247 + 13.9388i) q^{46} +(-66.0098 + 56.0692i) q^{47} +(4.26449 - 78.6538i) q^{48} +(-22.1749 - 41.8263i) q^{49} +(18.4325 - 83.7397i) q^{50} +(6.30903 - 2.91887i) q^{51} +(37.2320 - 61.8801i) q^{52} +(-6.15817 + 11.6155i) q^{53} +(14.8666 + 12.6278i) q^{54} +(-13.2178 + 13.9539i) q^{55} +(3.18469 - 29.2828i) q^{56} +(10.4450 - 26.2151i) q^{57} -186.857i q^{58} +(-58.7342 + 5.59430i) q^{59} -25.6814 q^{60} +(88.5593 + 35.2853i) q^{61} +(155.264 + 16.8860i) q^{62} +(2.80537 + 2.65739i) q^{63} +(-74.8194 + 88.0842i) q^{64} +(-9.28912 - 4.92478i) q^{65} +(-72.8828 - 43.8521i) q^{66} +(11.0554 + 23.8957i) q^{67} +(-39.5562 - 8.70698i) q^{68} +(-26.4324 + 14.0136i) q^{69} +(-7.09366 - 0.384607i) q^{70} +(33.5178 + 39.4602i) q^{71} +(-14.7479 - 67.0004i) q^{72} +(-39.9812 - 52.5943i) q^{73} +(16.8426 - 15.9541i) q^{74} +(-2.14187 - 39.5044i) q^{75} +(-140.885 + 84.7674i) q^{76} +(-13.9468 - 9.45617i) q^{77} +(12.4476 - 44.8324i) q^{78} +(-70.0404 + 7.61735i) q^{79} +(53.1924 + 40.4358i) q^{80} +(8.16818 + 3.77900i) q^{81} +(131.549 - 89.1927i) q^{82} +(48.3924 + 143.624i) q^{83} +(-3.64246 - 22.2180i) q^{84} +(-0.953979 + 5.81901i) q^{85} +(-51.1873 - 17.2470i) q^{86} +(-23.0651 - 83.0731i) q^{87} +(110.730 + 277.912i) q^{88} +(11.2123 - 4.46740i) q^{89} +(-15.9429 + 4.42653i) q^{90} +(2.94313 - 8.73489i) q^{91} +(172.018 + 28.2009i) q^{92} +(71.1120 - 11.6582i) q^{93} +(308.102 - 103.812i) q^{94} +(13.4333 + 19.8126i) q^{95} +(-57.6331 + 124.572i) q^{96} +(43.5666 - 57.3109i) q^{97} +(19.2142 + 176.672i) q^{98} +(-37.8154 - 10.4994i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 560q + 40q^{4} + 8q^{7} - 60q^{9} + O(q^{10}) \) \( 560q + 40q^{4} + 8q^{7} - 60q^{9} + 24q^{12} - 24q^{15} + 8q^{16} - 16q^{17} + 60q^{19} + 164q^{20} - 40q^{22} - 100q^{25} + 156q^{26} - 200q^{28} + 60q^{29} + 32q^{35} + 120q^{36} - 28q^{41} - 1572q^{46} - 638q^{47} + 96q^{48} - 1328q^{49} - 1856q^{50} + 24q^{51} - 1392q^{52} - 572q^{53} - 522q^{55} - 928q^{56} - 24q^{57} + 268q^{59} + 72q^{60} + 348q^{61} + 472q^{62} + 24q^{63} + 2580q^{64} + 1218q^{65} + 120q^{66} + 1044q^{67} + 1936q^{68} + 2784q^{70} + 1416q^{71} + 870q^{73} + 1752q^{74} - 240q^{75} - 120q^{76} + 468q^{78} + 420q^{79} - 376q^{80} - 180q^{81} - 168q^{84} + 348q^{85} - 232q^{86} - 144q^{87} + 212q^{88} - 152q^{94} - 788q^{95} - 3306q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{7}{58}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −3.48729 1.38946i −1.74365 0.694732i −0.999647 0.0265509i \(-0.991548\pi\)
−0.743999 0.668181i \(-0.767073\pi\)
\(3\) −1.72190 0.187268i −0.573966 0.0624225i
\(4\) 7.32661 + 6.94014i 1.83165 + 1.73503i
\(5\) 0.951158 1.11979i 0.190232 0.223958i −0.658775 0.752340i \(-0.728925\pi\)
0.849007 + 0.528382i \(0.177201\pi\)
\(6\) 5.74456 + 3.04557i 0.957426 + 0.507595i
\(7\) 1.10368 + 0.664063i 0.157669 + 0.0948661i 0.592202 0.805790i \(-0.298259\pi\)
−0.434533 + 0.900656i \(0.643087\pi\)
\(8\) −9.60207 20.7545i −1.20026 2.59432i
\(9\) 2.92986 + 0.644911i 0.325540 + 0.0716568i
\(10\) −4.87287 + 2.58343i −0.487287 + 0.258343i
\(11\) −13.0628 0.708243i −1.18752 0.0643857i −0.550235 0.835010i \(-0.685462\pi\)
−0.637290 + 0.770624i \(0.719945\pi\)
\(12\) −11.3160 13.3222i −0.943001 1.11019i
\(13\) −1.53834 6.98874i −0.118334 0.537596i −0.998068 0.0621300i \(-0.980211\pi\)
0.879734 0.475466i \(-0.157720\pi\)
\(14\) −2.92617 3.84931i −0.209012 0.274950i
\(15\) −1.84750 + 1.75004i −0.123166 + 0.116669i
\(16\) 2.46210 + 45.4108i 0.153881 + 2.83817i
\(17\) −3.43897 + 2.06916i −0.202292 + 0.121715i −0.613095 0.790009i \(-0.710076\pi\)
0.410803 + 0.911724i \(0.365248\pi\)
\(18\) −9.32120 6.31993i −0.517845 0.351107i
\(19\) −4.35868 + 15.6986i −0.229404 + 0.826240i 0.755792 + 0.654812i \(0.227252\pi\)
−0.985197 + 0.171428i \(0.945162\pi\)
\(20\) 14.7403 1.60310i 0.737013 0.0801550i
\(21\) −1.77607 1.35013i −0.0845747 0.0642920i
\(22\) 44.5696 + 20.6201i 2.02589 + 0.937277i
\(23\) 14.2965 9.69329i 0.621588 0.421447i −0.209327 0.977846i \(-0.567127\pi\)
0.830916 + 0.556398i \(0.187817\pi\)
\(24\) 12.6471 + 37.5353i 0.526964 + 1.56397i
\(25\) 3.69532 + 22.5405i 0.147813 + 0.901619i
\(26\) −4.34597 + 26.5093i −0.167153 + 1.01959i
\(27\) −4.92415 1.65914i −0.182376 0.0614496i
\(28\) 3.47756 + 12.5250i 0.124198 + 0.447322i
\(29\) 18.4242 + 46.2413i 0.635318 + 1.59453i 0.794490 + 0.607277i \(0.207738\pi\)
−0.159172 + 0.987251i \(0.550882\pi\)
\(30\) 8.87438 3.53588i 0.295813 0.117863i
\(31\) −40.0881 + 11.1304i −1.29316 + 0.359045i −0.844933 0.534872i \(-0.820360\pi\)
−0.448232 + 0.893917i \(0.647946\pi\)
\(32\) 25.3033 75.0976i 0.790729 2.34680i
\(33\) 22.3601 + 3.66576i 0.677579 + 0.111083i
\(34\) 14.8677 2.43744i 0.437285 0.0716893i
\(35\) 1.79339 0.604262i 0.0512396 0.0172646i
\(36\) 16.9902 + 25.0587i 0.471950 + 0.696074i
\(37\) −2.59493 + 5.60885i −0.0701332 + 0.151590i −0.939472 0.342627i \(-0.888683\pi\)
0.869338 + 0.494218i \(0.164545\pi\)
\(38\) 37.0126 48.6892i 0.974016 1.28130i
\(39\) 1.34010 + 12.3220i 0.0343614 + 0.315948i
\(40\) −32.3738 8.98854i −0.809345 0.224714i
\(41\) −23.7600 + 35.0433i −0.579512 + 0.854716i −0.998582 0.0532381i \(-0.983046\pi\)
0.419070 + 0.907954i \(0.362356\pi\)
\(42\) 4.31771 + 7.17609i 0.102803 + 0.170859i
\(43\) 14.3679 0.779003i 0.334136 0.0181163i 0.113692 0.993516i \(-0.463732\pi\)
0.220444 + 0.975400i \(0.429249\pi\)
\(44\) −90.7906 95.8464i −2.06342 2.17833i
\(45\) 3.50893 2.66742i 0.0779761 0.0592759i
\(46\) −63.3247 + 13.9388i −1.37662 + 0.303018i
\(47\) −66.0098 + 56.0692i −1.40446 + 1.19296i −0.450599 + 0.892726i \(0.648790\pi\)
−0.953865 + 0.300236i \(0.902934\pi\)
\(48\) 4.26449 78.6538i 0.0888434 1.63862i
\(49\) −22.1749 41.8263i −0.452549 0.853597i
\(50\) 18.4325 83.7397i 0.368650 1.67479i
\(51\) 6.30903 2.91887i 0.123707 0.0572327i
\(52\) 37.2320 61.8801i 0.716000 1.19000i
\(53\) −6.15817 + 11.6155i −0.116192 + 0.219161i −0.934786 0.355211i \(-0.884409\pi\)
0.818594 + 0.574372i \(0.194754\pi\)
\(54\) 14.8666 + 12.6278i 0.275308 + 0.233849i
\(55\) −13.2178 + 13.9539i −0.240324 + 0.253707i
\(56\) 3.18469 29.2828i 0.0568695 0.522906i
\(57\) 10.4450 26.2151i 0.183246 0.459914i
\(58\) 186.857i 3.22167i
\(59\) −58.7342 + 5.59430i −0.995495 + 0.0948186i
\(60\) −25.6814 −0.428024
\(61\) 88.5593 + 35.2853i 1.45179 + 0.578447i 0.956877 0.290494i \(-0.0938196\pi\)
0.494916 + 0.868941i \(0.335199\pi\)
\(62\) 155.264 + 16.8860i 2.50426 + 0.272355i
\(63\) 2.80537 + 2.65739i 0.0445297 + 0.0421808i
\(64\) −74.8194 + 88.0842i −1.16905 + 1.37632i
\(65\) −9.28912 4.92478i −0.142910 0.0757659i
\(66\) −72.8828 43.8521i −1.10429 0.664426i
\(67\) 11.0554 + 23.8957i 0.165005 + 0.356653i 0.972386 0.233377i \(-0.0749778\pi\)
−0.807381 + 0.590030i \(0.799116\pi\)
\(68\) −39.5562 8.70698i −0.581709 0.128044i
\(69\) −26.4324 + 14.0136i −0.383078 + 0.203095i
\(70\) −7.09366 0.384607i −0.101338 0.00549438i
\(71\) 33.5178 + 39.4602i 0.472082 + 0.555778i 0.945737 0.324932i \(-0.105342\pi\)
−0.473655 + 0.880710i \(0.657066\pi\)
\(72\) −14.7479 67.0004i −0.204832 0.930561i
\(73\) −39.9812 52.5943i −0.547687 0.720470i 0.436083 0.899907i \(-0.356366\pi\)
−0.983770 + 0.179437i \(0.942572\pi\)
\(74\) 16.8426 15.9541i 0.227602 0.215596i
\(75\) −2.14187 39.5044i −0.0285582 0.526725i
\(76\) −140.885 + 84.7674i −1.85374 + 1.11536i
\(77\) −13.9468 9.45617i −0.181127 0.122807i
\(78\) 12.4476 44.8324i 0.159585 0.574774i
\(79\) −70.0404 + 7.61735i −0.886587 + 0.0964222i −0.540069 0.841621i \(-0.681602\pi\)
−0.346518 + 0.938043i \(0.612636\pi\)
\(80\) 53.1924 + 40.4358i 0.664905 + 0.505447i
\(81\) 8.16818 + 3.77900i 0.100842 + 0.0466543i
\(82\) 131.549 89.1927i 1.60426 1.08772i
\(83\) 48.3924 + 143.624i 0.583042 + 1.73041i 0.678135 + 0.734937i \(0.262788\pi\)
−0.0950935 + 0.995468i \(0.530315\pi\)
\(84\) −3.64246 22.2180i −0.0433627 0.264501i
\(85\) −0.953979 + 5.81901i −0.0112233 + 0.0684590i
\(86\) −51.1873 17.2470i −0.595201 0.200547i
\(87\) −23.0651 83.0731i −0.265116 0.954863i
\(88\) 110.730 + 277.912i 1.25830 + 3.15809i
\(89\) 11.2123 4.46740i 0.125981 0.0501955i −0.306296 0.951936i \(-0.599090\pi\)
0.432277 + 0.901741i \(0.357710\pi\)
\(90\) −15.9429 + 4.42653i −0.177144 + 0.0491837i
\(91\) 2.94313 8.73489i 0.0323421 0.0959878i
\(92\) 172.018 + 28.2009i 1.86976 + 0.306532i
\(93\) 71.1120 11.6582i 0.764645 0.125357i
\(94\) 308.102 103.812i 3.27768 1.10438i
\(95\) 13.4333 + 19.8126i 0.141403 + 0.208554i
\(96\) −57.6331 + 124.572i −0.600344 + 1.29762i
\(97\) 43.5666 57.3109i 0.449141 0.590834i −0.514681 0.857382i \(-0.672090\pi\)
0.963822 + 0.266547i \(0.0858828\pi\)
\(98\) 19.2142 + 176.672i 0.196063 + 1.80277i
\(99\) −37.8154 10.4994i −0.381973 0.106054i
\(100\) −129.360 + 190.791i −1.29360 + 1.90791i
\(101\) 32.4771 + 53.9774i 0.321556 + 0.534430i 0.974903 0.222628i \(-0.0714636\pi\)
−0.653348 + 0.757058i \(0.726636\pi\)
\(102\) −26.0571 + 1.41278i −0.255462 + 0.0138507i
\(103\) −65.5203 69.1689i −0.636119 0.671543i 0.325623 0.945500i \(-0.394426\pi\)
−0.961742 + 0.273957i \(0.911667\pi\)
\(104\) −130.277 + 99.0339i −1.25266 + 0.952249i
\(105\) −3.20118 + 0.704634i −0.0304875 + 0.00671080i
\(106\) 37.6147 31.9502i 0.354856 0.301417i
\(107\) 11.1902 206.391i 0.104581 1.92889i −0.206393 0.978469i \(-0.566173\pi\)
0.310974 0.950418i \(-0.399345\pi\)
\(108\) −24.5627 46.3301i −0.227432 0.428983i
\(109\) −17.7525 + 80.6503i −0.162867 + 0.739911i 0.822403 + 0.568905i \(0.192633\pi\)
−0.985270 + 0.171006i \(0.945298\pi\)
\(110\) 65.4829 30.2956i 0.595299 0.275415i
\(111\) 5.51856 9.17191i 0.0497167 0.0826299i
\(112\) −27.4382 + 51.7540i −0.244984 + 0.462089i
\(113\) −151.316 128.529i −1.33908 1.13742i −0.978855 0.204555i \(-0.934425\pi\)
−0.360222 0.932867i \(-0.617299\pi\)
\(114\) −72.8498 + 76.9066i −0.639033 + 0.674619i
\(115\) 2.74381 25.2290i 0.0238593 0.219382i
\(116\) −185.934 + 466.659i −1.60288 + 4.02292i
\(117\) 21.4681i 0.183488i
\(118\) 212.596 + 62.1001i 1.80166 + 0.526272i
\(119\) −5.16957 −0.0434418
\(120\) 54.0611 + 21.5399i 0.450509 + 0.179499i
\(121\) 49.8436 + 5.42082i 0.411931 + 0.0448002i
\(122\) −259.805 246.100i −2.12955 2.01721i
\(123\) 47.4747 55.8916i 0.385973 0.454403i
\(124\) −370.957 196.669i −2.99159 1.58604i
\(125\) 60.2284 + 36.2382i 0.481827 + 0.289906i
\(126\) −6.09080 13.1650i −0.0483397 0.104485i
\(127\) 32.9589 + 7.25480i 0.259519 + 0.0571244i 0.342824 0.939400i \(-0.388617\pi\)
−0.0833050 + 0.996524i \(0.526548\pi\)
\(128\) 103.248 54.7388i 0.806628 0.427647i
\(129\) −24.8859 1.34927i −0.192914 0.0104595i
\(130\) 25.5511 + 30.0811i 0.196547 + 0.231393i
\(131\) 1.45396 + 6.60540i 0.0110989 + 0.0504229i 0.981845 0.189687i \(-0.0607474\pi\)
−0.970746 + 0.240110i \(0.922816\pi\)
\(132\) 138.383 + 182.040i 1.04836 + 1.37909i
\(133\) −15.2354 + 14.4318i −0.114552 + 0.108509i
\(134\) −5.35095 98.6925i −0.0399325 0.736511i
\(135\) −6.54153 + 3.93591i −0.0484558 + 0.0291549i
\(136\) 75.9656 + 51.5059i 0.558570 + 0.378720i
\(137\) −21.3307 + 76.8264i −0.155699 + 0.560776i 0.844003 + 0.536339i \(0.180193\pi\)
−0.999701 + 0.0244373i \(0.992221\pi\)
\(138\) 111.649 12.1425i 0.809050 0.0879895i
\(139\) −62.7749 47.7202i −0.451618 0.343311i 0.354510 0.935052i \(-0.384648\pi\)
−0.806128 + 0.591741i \(0.798441\pi\)
\(140\) 17.3331 + 8.01915i 0.123808 + 0.0572796i
\(141\) 124.162 84.1840i 0.880582 0.597050i
\(142\) −62.0579 184.181i −0.437027 1.29705i
\(143\) 15.1452 + 92.3818i 0.105911 + 0.646027i
\(144\) −22.0723 + 134.635i −0.153280 + 0.934967i
\(145\) 69.3049 + 23.3515i 0.477965 + 0.161045i
\(146\) 66.3480 + 238.964i 0.454439 + 1.63674i
\(147\) 30.3502 + 76.1732i 0.206464 + 0.518185i
\(148\) −57.9382 + 23.0847i −0.391474 + 0.155978i
\(149\) 250.867 69.6528i 1.68367 0.467468i 0.711681 0.702502i \(-0.247934\pi\)
0.971987 + 0.235034i \(0.0755202\pi\)
\(150\) −47.4206 + 140.739i −0.316137 + 0.938263i
\(151\) −175.627 28.7926i −1.16309 0.190680i −0.450842 0.892604i \(-0.648876\pi\)
−0.712252 + 0.701924i \(0.752325\pi\)
\(152\) 367.669 60.2762i 2.41887 0.396554i
\(153\) −11.4101 + 3.84452i −0.0745759 + 0.0251276i
\(154\) 35.4976 + 52.3550i 0.230504 + 0.339968i
\(155\) −25.6664 + 55.4770i −0.165590 + 0.357916i
\(156\) −75.6979 + 99.5788i −0.485243 + 0.638326i
\(157\) −11.4443 105.228i −0.0728934 0.670244i −0.972397 0.233331i \(-0.925037\pi\)
0.899504 0.436913i \(-0.143928\pi\)
\(158\) 254.835 + 70.7547i 1.61288 + 0.447814i
\(159\) 12.7789 18.8475i 0.0803707 0.118538i
\(160\) −60.0260 99.7640i −0.375163 0.623525i
\(161\) 22.2158 1.20450i 0.137986 0.00748139i
\(162\) −23.2340 24.5279i −0.143420 0.151407i
\(163\) −157.876 + 120.014i −0.968563 + 0.736283i −0.964602 0.263710i \(-0.915054\pi\)
−0.00396111 + 0.999992i \(0.501261\pi\)
\(164\) −417.286 + 91.8515i −2.54443 + 0.560070i
\(165\) 25.3729 21.5519i 0.153775 0.130618i
\(166\) 30.8013 568.097i 0.185550 3.42227i
\(167\) −23.5721 44.4617i −0.141150 0.266238i 0.802851 0.596180i \(-0.203316\pi\)
−0.944001 + 0.329942i \(0.892971\pi\)
\(168\) −10.9674 + 49.8255i −0.0652823 + 0.296580i
\(169\) 106.904 49.4592i 0.632569 0.292658i
\(170\) 11.4121 18.9671i 0.0671301 0.111571i
\(171\) −22.8945 + 43.1836i −0.133886 + 0.252536i
\(172\) 110.674 + 94.0075i 0.643454 + 0.546555i
\(173\) 201.806 213.044i 1.16651 1.23147i 0.198626 0.980075i \(-0.436352\pi\)
0.967885 0.251395i \(-0.0808892\pi\)
\(174\) −34.9922 + 321.748i −0.201105 + 1.84913i
\(175\) −10.8898 + 27.3314i −0.0622276 + 0.156179i
\(176\) 594.935i 3.38031i
\(177\) 102.182 + 1.36621i 0.577299 + 0.00771868i
\(178\) −45.3079 −0.254539
\(179\) −239.047 95.2451i −1.33546 0.532095i −0.410395 0.911908i \(-0.634609\pi\)
−0.925064 + 0.379812i \(0.875989\pi\)
\(180\) 44.2208 + 4.80930i 0.245671 + 0.0267183i
\(181\) −119.269 112.977i −0.658942 0.624183i 0.283333 0.959021i \(-0.408560\pi\)
−0.942276 + 0.334838i \(0.891318\pi\)
\(182\) −22.4004 + 26.3718i −0.123079 + 0.144900i
\(183\) −145.882 77.3419i −0.797171 0.422633i
\(184\) −338.456 203.642i −1.83943 1.10675i
\(185\) 3.81254 + 8.24067i 0.0206083 + 0.0445442i
\(186\) −264.187 58.1519i −1.42036 0.312645i
\(187\) 46.3879 24.5933i 0.248064 0.131515i
\(188\) −872.757 47.3195i −4.64232 0.251699i
\(189\) −4.33292 5.10110i −0.0229255 0.0269900i
\(190\) −19.3169 87.7575i −0.101668 0.461881i
\(191\) −40.8753 53.7705i −0.214007 0.281521i 0.676547 0.736400i \(-0.263476\pi\)
−0.890553 + 0.454879i \(0.849683\pi\)
\(192\) 145.327 137.661i 0.756910 0.716983i
\(193\) 15.2016 + 280.377i 0.0787649 + 1.45273i 0.724554 + 0.689218i \(0.242046\pi\)
−0.645790 + 0.763515i \(0.723472\pi\)
\(194\) −231.561 + 139.326i −1.19361 + 0.718174i
\(195\) 15.0727 + 10.2195i 0.0772957 + 0.0524078i
\(196\) 127.813 460.342i 0.652108 2.34868i
\(197\) 66.8192 7.26702i 0.339184 0.0368884i 0.0630576 0.998010i \(-0.479915\pi\)
0.276126 + 0.961121i \(0.410949\pi\)
\(198\) 117.285 + 89.1575i 0.592347 + 0.450290i
\(199\) 253.202 + 117.144i 1.27237 + 0.588661i 0.935645 0.352942i \(-0.114819\pi\)
0.336725 + 0.941603i \(0.390681\pi\)
\(200\) 432.334 293.130i 2.16167 1.46565i
\(201\) −14.5613 43.2163i −0.0724442 0.215007i
\(202\) −38.2576 233.361i −0.189394 1.15525i
\(203\) −10.3727 + 63.2705i −0.0510969 + 0.311677i
\(204\) 66.4812 + 22.4001i 0.325888 + 0.109805i
\(205\) 16.6417 + 59.9379i 0.0811789 + 0.292380i
\(206\) 132.381 + 332.250i 0.642624 + 1.61287i
\(207\) 48.1382 19.1800i 0.232552 0.0926570i
\(208\) 313.577 87.0642i 1.50758 0.418578i
\(209\) 68.0549 201.980i 0.325621 0.966410i
\(210\) 12.1425 + 1.99067i 0.0578216 + 0.00947936i
\(211\) 402.012 65.9065i 1.90527 0.312353i 0.910416 0.413693i \(-0.135761\pi\)
0.994852 + 0.101340i \(0.0323131\pi\)
\(212\) −125.732 + 42.3640i −0.593075 + 0.199830i
\(213\) −50.3246 74.2233i −0.236266 0.348466i
\(214\) −325.796 + 704.197i −1.52241 + 3.29064i
\(215\) 12.7938 16.8299i 0.0595060 0.0782788i
\(216\) 12.8474 + 118.130i 0.0594786 + 0.546896i
\(217\) −51.6358 14.3366i −0.237953 0.0660673i
\(218\) 173.969 256.585i 0.798022 1.17699i
\(219\) 58.9942 + 98.0492i 0.269380 + 0.447713i
\(220\) −193.684 + 10.5012i −0.880382 + 0.0477329i
\(221\) 19.7511 + 20.8510i 0.0893715 + 0.0943483i
\(222\) −31.9889 + 24.3173i −0.144094 + 0.109537i
\(223\) −374.950 + 82.5328i −1.68139 + 0.370102i −0.950096 0.311959i \(-0.899015\pi\)
−0.731296 + 0.682061i \(0.761084\pi\)
\(224\) 77.7963 66.0807i 0.347305 0.295003i
\(225\) −3.70982 + 68.4236i −0.0164881 + 0.304105i
\(226\) 349.096 + 658.465i 1.54467 + 2.91356i
\(227\) −32.6458 + 148.312i −0.143814 + 0.653355i 0.848457 + 0.529265i \(0.177532\pi\)
−0.992271 + 0.124090i \(0.960399\pi\)
\(228\) 258.463 119.578i 1.13361 0.524464i
\(229\) −99.8528 + 165.957i −0.436038 + 0.724702i −0.994490 0.104836i \(-0.966568\pi\)
0.558451 + 0.829537i \(0.311396\pi\)
\(230\) −44.6232 + 84.1683i −0.194014 + 0.365949i
\(231\) 22.2441 + 18.8943i 0.0962950 + 0.0817937i
\(232\) 782.806 826.399i 3.37416 3.56206i
\(233\) −15.3627 + 141.258i −0.0659343 + 0.606256i 0.913829 + 0.406098i \(0.133111\pi\)
−0.979764 + 0.200158i \(0.935855\pi\)
\(234\) −29.8292 + 74.8657i −0.127475 + 0.319939i
\(235\) 127.248i 0.541480i
\(236\) −469.148 366.636i −1.98791 1.55354i
\(237\) 122.029 0.514890
\(238\) 18.0278 + 7.18293i 0.0757471 + 0.0301804i
\(239\) −173.497 18.8689i −0.725929 0.0789495i −0.262309 0.964984i \(-0.584484\pi\)
−0.463620 + 0.886034i \(0.653450\pi\)
\(240\) −84.0195 79.5875i −0.350081 0.331615i
\(241\) 23.1969 27.3095i 0.0962527 0.113317i −0.711927 0.702254i \(-0.752177\pi\)
0.808180 + 0.588936i \(0.200453\pi\)
\(242\) −166.287 88.1599i −0.687137 0.364297i
\(243\) −13.3571 8.03669i −0.0549674 0.0330728i
\(244\) 403.955 + 873.135i 1.65556 + 3.57842i
\(245\) −67.9284 14.9522i −0.277259 0.0610293i
\(246\) −243.218 + 128.946i −0.988689 + 0.524170i
\(247\) 116.418 + 6.31202i 0.471329 + 0.0255547i
\(248\) 615.935 + 725.135i 2.48361 + 2.92393i
\(249\) −56.4308 256.368i −0.226630 1.02959i
\(250\) −159.682 210.058i −0.638729 0.840234i
\(251\) 79.4639 75.2722i 0.316589 0.299889i −0.512859 0.858473i \(-0.671414\pi\)
0.829448 + 0.558584i \(0.188655\pi\)
\(252\) 2.11123 + 38.9393i 0.00837789 + 0.154521i
\(253\) −193.617 + 116.496i −0.765286 + 0.460458i
\(254\) −104.857 71.0948i −0.412823 0.279901i
\(255\) 2.73237 9.84109i 0.0107152 0.0385925i
\(256\) 23.4613 2.55157i 0.0916457 0.00996707i
\(257\) 202.865 + 154.214i 0.789358 + 0.600054i 0.920245 0.391343i \(-0.127989\pi\)
−0.130887 + 0.991397i \(0.541782\pi\)
\(258\) 84.9095 + 39.2833i 0.329107 + 0.152261i
\(259\) −6.58860 + 4.46718i −0.0254386 + 0.0172478i
\(260\) −33.8792 100.550i −0.130304 0.386730i
\(261\) 24.1589 + 147.363i 0.0925627 + 0.564608i
\(262\) 4.10759 25.0552i 0.0156778 0.0956305i
\(263\) 3.45340 + 1.16359i 0.0131308 + 0.00442428i 0.325859 0.945418i \(-0.394346\pi\)
−0.312728 + 0.949843i \(0.601243\pi\)
\(264\) −138.622 499.273i −0.525085 1.89118i
\(265\) 7.14957 + 17.9441i 0.0269795 + 0.0677134i
\(266\) 73.1828 29.1587i 0.275123 0.109619i
\(267\) −20.1431 + 5.59269i −0.0754422 + 0.0209464i
\(268\) −84.8415 + 251.801i −0.316573 + 0.939554i
\(269\) 47.6089 + 7.80508i 0.176985 + 0.0290152i 0.249623 0.968343i \(-0.419693\pi\)
−0.0726379 + 0.997358i \(0.523142\pi\)
\(270\) 28.2810 4.63644i 0.104745 0.0171720i
\(271\) 198.556 66.9014i 0.732680 0.246869i 0.0718618 0.997415i \(-0.477106\pi\)
0.660818 + 0.750546i \(0.270209\pi\)
\(272\) −102.429 151.072i −0.376578 0.555411i
\(273\) −6.70353 + 14.4894i −0.0245550 + 0.0530749i
\(274\) 181.134 238.278i 0.661073 0.869627i
\(275\) −32.3070 297.058i −0.117480 1.08021i
\(276\) −290.916 80.7724i −1.05404 0.292654i
\(277\) −25.0894 + 37.0040i −0.0905753 + 0.133589i −0.870277 0.492562i \(-0.836060\pi\)
0.779702 + 0.626151i \(0.215371\pi\)
\(278\) 152.609 + 253.638i 0.548952 + 0.912366i
\(279\) −124.631 + 6.75728i −0.446705 + 0.0242197i
\(280\) −29.7614 31.4187i −0.106291 0.112210i
\(281\) 170.954 129.956i 0.608379 0.462478i −0.255064 0.966924i \(-0.582097\pi\)
0.863443 + 0.504447i \(0.168303\pi\)
\(282\) −549.960 + 121.055i −1.95021 + 0.429274i
\(283\) −270.773 + 229.996i −0.956794 + 0.812708i −0.982367 0.186965i \(-0.940135\pi\)
0.0255726 + 0.999673i \(0.491859\pi\)
\(284\) −28.2873 + 521.728i −0.0996031 + 1.83707i
\(285\) −19.4205 36.6309i −0.0681420 0.128530i
\(286\) 75.5454 343.206i 0.264145 1.20002i
\(287\) −49.4944 + 22.8986i −0.172454 + 0.0797859i
\(288\) 122.566 203.707i 0.425578 0.707316i
\(289\) −127.825 + 241.103i −0.442301 + 0.834268i
\(290\) −209.240 177.730i −0.721518 0.612863i
\(291\) −85.7498 + 90.5249i −0.294673 + 0.311082i
\(292\) 72.0852 662.813i 0.246867 2.26991i
\(293\) −20.2722 + 50.8793i −0.0691883 + 0.173649i −0.959505 0.281693i \(-0.909104\pi\)
0.890316 + 0.455343i \(0.150483\pi\)
\(294\) 307.809i 1.04697i
\(295\) −49.6010 + 71.0910i −0.168139 + 0.240986i
\(296\) 141.326 0.477452
\(297\) 63.1480 + 25.1604i 0.212619 + 0.0847153i
\(298\) −971.625 105.671i −3.26049 0.354599i
\(299\) −89.7368 85.0032i −0.300123 0.284292i
\(300\) 258.473 304.298i 0.861578 1.01433i
\(301\) 16.3748 + 8.68139i 0.0544014 + 0.0288418i
\(302\) 572.457 + 344.436i 1.89555 + 1.14052i
\(303\) −45.8141 99.0255i −0.151202 0.326817i
\(304\) −723.616 159.280i −2.38031 0.523947i
\(305\) 123.746 65.6060i 0.405725 0.215102i
\(306\) 45.1322 + 2.44700i 0.147491 + 0.00799673i
\(307\) 113.258 + 133.337i 0.368917 + 0.434323i 0.915028 0.403390i \(-0.132168\pi\)
−0.546111 + 0.837713i \(0.683892\pi\)
\(308\) −36.5558 166.074i −0.118688 0.539203i
\(309\) 99.8661 + 131.372i 0.323191 + 0.425151i
\(310\) 166.590 157.802i 0.537386 0.509039i
\(311\) 14.7631 + 272.289i 0.0474697 + 0.875526i 0.921194 + 0.389104i \(0.127215\pi\)
−0.873724 + 0.486422i \(0.838302\pi\)
\(312\) 242.869 146.130i 0.778427 0.468364i
\(313\) −283.771 192.401i −0.906615 0.614701i 0.0162312 0.999868i \(-0.494833\pi\)
−0.922847 + 0.385168i \(0.874144\pi\)
\(314\) −106.301 + 382.863i −0.338539 + 1.21931i
\(315\) 5.64407 0.613829i 0.0179177 0.00194866i
\(316\) −566.024 430.280i −1.79122 1.36165i
\(317\) −70.9025 32.8030i −0.223667 0.103479i 0.304856 0.952399i \(-0.401392\pi\)
−0.528523 + 0.848919i \(0.677254\pi\)
\(318\) −70.7519 + 47.9710i −0.222490 + 0.150852i
\(319\) −207.921 617.088i −0.651791 1.93445i
\(320\) 27.4707 + 167.564i 0.0858460 + 0.523637i
\(321\) −57.9187 + 353.289i −0.180432 + 1.10059i
\(322\) −79.1464 26.6675i −0.245796 0.0828185i
\(323\) −17.4934 63.0056i −0.0541592 0.195064i
\(324\) 33.6183 + 84.3756i 0.103760 + 0.260418i
\(325\) 151.845 60.5005i 0.467215 0.186155i
\(326\) 717.314 199.161i 2.20035 0.610924i
\(327\) 45.6711 135.547i 0.139667 0.414517i
\(328\) 955.453 + 156.639i 2.91297 + 0.477557i
\(329\) −110.087 + 18.0479i −0.334612 + 0.0548568i
\(330\) −118.428 + 39.9031i −0.358873 + 0.120919i
\(331\) −18.6661 27.5305i −0.0563932 0.0831737i 0.798447 0.602065i \(-0.205655\pi\)
−0.854840 + 0.518891i \(0.826345\pi\)
\(332\) −642.215 + 1388.13i −1.93438 + 4.18110i
\(333\) −11.2200 + 14.7596i −0.0336937 + 0.0443233i
\(334\) 20.4249 + 187.804i 0.0611523 + 0.562286i
\(335\) 37.2736 + 10.3490i 0.111264 + 0.0308924i
\(336\) 56.9377 83.9768i 0.169457 0.249931i
\(337\) −211.245 351.091i −0.626839 1.04181i −0.993758 0.111561i \(-0.964415\pi\)
0.366919 0.930253i \(-0.380413\pi\)
\(338\) −441.528 + 23.9389i −1.30630 + 0.0708253i
\(339\) 236.481 + 249.650i 0.697583 + 0.736430i
\(340\) −47.3742 + 36.0129i −0.139336 + 0.105920i
\(341\) 531.545 117.002i 1.55878 0.343114i
\(342\) 139.842 118.783i 0.408895 0.347318i
\(343\) 6.71824 123.911i 0.0195867 0.361255i
\(344\) −154.129 290.718i −0.448050 0.845111i
\(345\) −9.44913 + 42.9278i −0.0273888 + 0.124429i
\(346\) −999.775 + 462.545i −2.88952 + 1.33684i
\(347\) −57.3641 + 95.3399i −0.165314 + 0.274755i −0.928430 0.371507i \(-0.878841\pi\)
0.763116 + 0.646262i \(0.223669\pi\)
\(348\) 407.549 768.719i 1.17112 2.20896i
\(349\) 339.523 + 288.393i 0.972844 + 0.826341i 0.984819 0.173587i \(-0.0555358\pi\)
−0.0119744 + 0.999928i \(0.503812\pi\)
\(350\) 75.9520 80.1816i 0.217006 0.229090i
\(351\) −4.02029 + 36.9659i −0.0114538 + 0.105316i
\(352\) −383.719 + 963.061i −1.09011 + 2.73597i
\(353\) 418.077i 1.18435i −0.805808 0.592177i \(-0.798269\pi\)
0.805808 0.592177i \(-0.201731\pi\)
\(354\) −354.440 146.742i −1.00124 0.414527i
\(355\) 76.0679 0.214276
\(356\) 113.153 + 45.0841i 0.317845 + 0.126641i
\(357\) 8.90147 + 0.968093i 0.0249341 + 0.00271175i
\(358\) 701.287 + 664.295i 1.95890 + 1.85557i
\(359\) 308.714 363.447i 0.859929 1.01239i −0.139825 0.990176i \(-0.544654\pi\)
0.999753 0.0222101i \(-0.00707029\pi\)
\(360\) −89.0539 47.2134i −0.247372 0.131148i
\(361\) 81.8788 + 49.2648i 0.226811 + 0.136468i
\(362\) 258.946 + 559.704i 0.715322 + 1.54614i
\(363\) −84.8105 18.6682i −0.233638 0.0514275i
\(364\) 82.1845 43.5715i 0.225782 0.119702i
\(365\) −96.9229 5.25501i −0.265542 0.0143973i
\(366\) 401.270 + 472.412i 1.09637 + 1.29074i
\(367\) 137.171 + 623.174i 0.373763 + 1.69802i 0.669549 + 0.742768i \(0.266488\pi\)
−0.295786 + 0.955254i \(0.595581\pi\)
\(368\) 475.379 + 625.351i 1.29179 + 1.69932i
\(369\) −92.2133 + 87.3491i −0.249901 + 0.236718i
\(370\) −1.84533 34.0350i −0.00498737 0.0919866i
\(371\) −14.5101 + 8.73043i −0.0391108 + 0.0235322i
\(372\) 601.920 + 408.112i 1.61806 + 1.09707i
\(373\) 117.034 421.518i 0.313764 1.13008i −0.623606 0.781739i \(-0.714333\pi\)
0.937370 0.348336i \(-0.113253\pi\)
\(374\) −195.940 + 21.3097i −0.523903 + 0.0569778i
\(375\) −96.9208 73.6773i −0.258456 0.196473i
\(376\) 1797.52 + 831.622i 4.78064 + 2.21176i
\(377\) 294.826 199.897i 0.782032 0.530231i
\(378\) 8.02235 + 23.8095i 0.0212231 + 0.0629880i
\(379\) −67.9683 414.588i −0.179336 1.09390i −0.911052 0.412291i \(-0.864729\pi\)
0.731716 0.681609i \(-0.238720\pi\)
\(380\) −39.0818 + 238.388i −0.102847 + 0.627337i
\(381\) −55.3933 18.6642i −0.145389 0.0489873i
\(382\) 67.8319 + 244.308i 0.177570 + 0.639550i
\(383\) −54.0623 135.686i −0.141155 0.354272i 0.841355 0.540483i \(-0.181758\pi\)
−0.982510 + 0.186211i \(0.940379\pi\)
\(384\) −188.034 + 74.9195i −0.489671 + 0.195103i
\(385\) −23.8545 + 6.62318i −0.0619598 + 0.0172031i
\(386\) 336.562 998.880i 0.871922 2.58777i
\(387\) 42.5982 + 6.98362i 0.110073 + 0.0180455i
\(388\) 716.942 117.537i 1.84779 0.302929i
\(389\) −448.155 + 151.001i −1.15207 + 0.388177i −0.829575 0.558395i \(-0.811418\pi\)
−0.322493 + 0.946572i \(0.604521\pi\)
\(390\) −38.3631 56.5814i −0.0983670 0.145080i
\(391\) −29.1083 + 62.9167i −0.0744459 + 0.160912i
\(392\) −655.160 + 861.848i −1.67133 + 2.19859i
\(393\) −1.26659 11.6461i −0.00322287 0.0296338i
\(394\) −243.115 67.5006i −0.617044 0.171321i
\(395\) −58.0896 + 85.6758i −0.147062 + 0.216901i
\(396\) −204.191 339.369i −0.515635 0.856991i
\(397\) −510.936 + 27.7021i −1.28699 + 0.0697786i −0.684893 0.728643i \(-0.740151\pi\)
−0.602098 + 0.798422i \(0.705668\pi\)
\(398\) −720.221 760.328i −1.80960 1.91037i
\(399\) 28.9364 21.9969i 0.0725224 0.0551301i
\(400\) −1014.48 + 223.304i −2.53621 + 0.558261i
\(401\) 512.552 435.366i 1.27818 1.08570i 0.286355 0.958123i \(-0.407556\pi\)
0.991829 0.127576i \(-0.0407197\pi\)
\(402\) −9.26812 + 170.940i −0.0230550 + 0.425225i
\(403\) 139.457 + 263.043i 0.346046 + 0.652713i
\(404\) −136.663 + 620.867i −0.338275 + 1.53680i
\(405\) 12.0009 5.55221i 0.0296319 0.0137092i
\(406\) 124.085 206.230i 0.305627 0.507956i
\(407\) 37.8694 71.4292i 0.0930452 0.175502i
\(408\) −121.160 102.914i −0.296960 0.252240i
\(409\) 3.61325 3.81446i 0.00883434 0.00932630i −0.721563 0.692348i \(-0.756576\pi\)
0.730398 + 0.683022i \(0.239335\pi\)
\(410\) 25.2472 232.144i 0.0615785 0.566205i
\(411\) 51.1164 128.293i 0.124371 0.312147i
\(412\) 961.493i 2.33372i
\(413\) −68.5387 32.8289i −0.165953 0.0794888i
\(414\) −194.522 −0.469859
\(415\) 206.857 + 82.4194i 0.498451 + 0.198601i
\(416\) −563.763 61.3129i −1.35520 0.147387i
\(417\) 99.1554 + 93.9250i 0.237783 + 0.225240i
\(418\) −517.971 + 609.802i −1.23916 + 1.45886i
\(419\) −151.297 80.2127i −0.361091 0.191438i 0.277978 0.960587i \(-0.410336\pi\)
−0.639070 + 0.769149i \(0.720680\pi\)
\(420\) −28.3441 17.0541i −0.0674859 0.0406049i
\(421\) 20.4038 + 44.1020i 0.0484650 + 0.104755i 0.930295 0.366812i \(-0.119551\pi\)
−0.881830 + 0.471567i \(0.843689\pi\)
\(422\) −1493.51 328.746i −3.53911 0.779018i
\(423\) −229.559 + 121.705i −0.542693 + 0.287718i
\(424\) 300.206 + 16.2767i 0.708033 + 0.0383885i
\(425\) −59.3479 69.8697i −0.139642 0.164399i
\(426\) 72.3661 + 328.763i 0.169874 + 0.771743i
\(427\) 74.3096 + 97.7526i 0.174027 + 0.228929i
\(428\) 1514.37 1434.49i 3.53824 3.35160i
\(429\) −8.77841 161.908i −0.0204625 0.377409i
\(430\) −68.0002 + 40.9144i −0.158140 + 0.0951497i
\(431\) −625.239 423.922i −1.45067 0.983578i −0.995657 0.0930932i \(-0.970325\pi\)
−0.455012 0.890485i \(-0.650365\pi\)
\(432\) 63.2191 227.695i 0.146340 0.527071i
\(433\) −576.360 + 62.6829i −1.33109 + 0.144764i −0.745858 0.666105i \(-0.767960\pi\)
−0.585227 + 0.810869i \(0.698995\pi\)
\(434\) 160.149 + 121.742i 0.369006 + 0.280511i
\(435\) −114.963 53.1875i −0.264283 0.122270i
\(436\) −689.790 + 467.689i −1.58209 + 1.07268i
\(437\) 89.8566 + 266.685i 0.205622 + 0.610263i
\(438\) −69.4943 423.896i −0.158663 0.967800i
\(439\) −54.1607 + 330.366i −0.123373 + 0.752542i 0.850589 + 0.525831i \(0.176245\pi\)
−0.973962 + 0.226711i \(0.927203\pi\)
\(440\) 416.525 + 140.344i 0.946649 + 0.318963i
\(441\) −37.9951 136.846i −0.0861567 0.310308i
\(442\) −39.9062 100.157i −0.0902854 0.226599i
\(443\) 519.525 206.998i 1.17274 0.467263i 0.299285 0.954164i \(-0.403252\pi\)
0.873457 + 0.486901i \(0.161873\pi\)
\(444\) 104.087 28.8995i 0.234429 0.0650890i
\(445\) 5.66214 16.8046i 0.0127239 0.0377632i
\(446\) 1422.24 + 233.164i 3.18887 + 0.522789i
\(447\) −445.010 + 72.9557i −0.995549 + 0.163212i
\(448\) −141.070 + 47.5321i −0.314889 + 0.106098i
\(449\) 308.562 + 455.095i 0.687221 + 1.01357i 0.998008 + 0.0630949i \(0.0200971\pi\)
−0.310787 + 0.950480i \(0.600593\pi\)
\(450\) 108.009 233.458i 0.240021 0.518797i
\(451\) 335.190 440.935i 0.743216 0.977684i
\(452\) −216.625 1991.83i −0.479258 4.40671i
\(453\) 297.020 + 82.4672i 0.655673 + 0.182047i
\(454\) 319.919 471.845i 0.704668 1.03931i
\(455\) −6.98186 11.6039i −0.0153448 0.0255032i
\(456\) −644.376 + 34.9370i −1.41310 + 0.0766163i
\(457\) 391.254 + 413.041i 0.856135 + 0.903811i 0.996267 0.0863221i \(-0.0275114\pi\)
−0.140132 + 0.990133i \(0.544753\pi\)
\(458\) 578.807 439.997i 1.26377 0.960693i
\(459\) 20.3670 4.48312i 0.0443726 0.00976714i
\(460\) 195.195 165.800i 0.424337 0.360436i
\(461\) −8.20215 + 151.280i −0.0177921 + 0.328156i 0.976065 + 0.217481i \(0.0697840\pi\)
−0.993857 + 0.110675i \(0.964699\pi\)
\(462\) −51.3188 96.7975i −0.111080 0.209518i
\(463\) 109.275 496.442i 0.236015 1.07223i −0.698307 0.715799i \(-0.746063\pi\)
0.934322 0.356430i \(-0.116006\pi\)
\(464\) −2054.49 + 950.509i −4.42779 + 2.04851i
\(465\) 54.5840 90.7193i 0.117385 0.195095i
\(466\) 249.847 471.261i 0.536152 1.01129i
\(467\) −143.631 122.001i −0.307561 0.261245i 0.480291 0.877109i \(-0.340531\pi\)
−0.787852 + 0.615864i \(0.788807\pi\)
\(468\) 148.992 157.289i 0.318359 0.336087i
\(469\) −3.66670 + 33.7147i −0.00781812 + 0.0718864i
\(470\) 176.806 443.750i 0.376184 0.944149i
\(471\) 183.335i 0.389247i
\(472\) 680.077 + 1165.28i 1.44084 + 2.46882i
\(473\) −188.236 −0.397961
\(474\) −425.550 169.555i −0.897785 0.357710i
\(475\) −369.960 40.2355i −0.778862 0.0847064i
\(476\) −37.8754 35.8775i −0.0795703 0.0753730i
\(477\) −25.5336 + 30.0604i −0.0535295 + 0.0630198i
\(478\) 578.817 + 306.869i 1.21091 + 0.641986i
\(479\) −135.692 81.6434i −0.283283 0.170445i 0.366820 0.930292i \(-0.380446\pi\)
−0.650103 + 0.759846i \(0.725274\pi\)
\(480\) 84.6761 + 183.024i 0.176408 + 0.381301i
\(481\) 43.1907 + 9.50699i 0.0897935 + 0.0197650i
\(482\) −118.840 + 63.0050i −0.246556 + 0.130716i
\(483\) −38.4788 2.08626i −0.0796663 0.00431938i
\(484\) 327.564 + 385.638i 0.676785 + 0.796773i
\(485\) −22.7374 103.297i −0.0468813 0.212984i
\(486\) 35.4134 + 46.5855i 0.0728670 + 0.0958549i
\(487\) −255.226 + 241.763i −0.524079 + 0.496434i −0.903381 0.428839i \(-0.858923\pi\)
0.379302 + 0.925273i \(0.376164\pi\)
\(488\) −118.024 2176.82i −0.241852 4.46070i
\(489\) 294.321 177.087i 0.601883 0.362141i
\(490\) 216.111 + 146.527i 0.441042 + 0.299034i
\(491\) −45.8797 + 165.244i −0.0934413 + 0.336545i −0.995463 0.0951446i \(-0.969669\pi\)
0.902022 + 0.431690i \(0.142082\pi\)
\(492\) 735.724 80.0148i 1.49537 0.162632i
\(493\) −159.041 120.900i −0.322598 0.245233i
\(494\) −397.214 183.771i −0.804078 0.372006i
\(495\) −47.7255 + 32.3587i −0.0964151 + 0.0653710i
\(496\) −604.142 1793.03i −1.21803 3.61498i
\(497\) 10.7889 + 65.8095i 0.0217081 + 0.132413i
\(498\) −159.423 + 972.437i −0.320126 + 1.95268i
\(499\) 490.900 + 165.403i 0.983767 + 0.331470i 0.764804 0.644263i \(-0.222836\pi\)
0.218963 + 0.975733i \(0.429732\pi\)
\(500\) 189.772 + 683.496i 0.379544 + 1.36699i
\(501\) 32.2625 + 80.9728i 0.0643963 + 0.161622i
\(502\) −381.702 + 152.084i −0.760362 + 0.302956i
\(503\) −528.160 + 146.643i −1.05002 + 0.291537i −0.749338 0.662188i \(-0.769628\pi\)
−0.300682 + 0.953724i \(0.597214\pi\)
\(504\) 28.2155 83.7406i 0.0559831 0.166152i
\(505\) 91.3342 + 14.9735i 0.180860 + 0.0296505i
\(506\) 837.067 137.230i 1.65428 0.271206i
\(507\) −193.340 + 65.1439i −0.381342 + 0.128489i
\(508\) 191.128 + 281.892i 0.376236 + 0.554906i
\(509\) −100.368 + 216.942i −0.197187 + 0.426213i −0.980795 0.195043i \(-0.937515\pi\)
0.783608 + 0.621256i \(0.213377\pi\)
\(510\) −23.2024 + 30.5222i −0.0454949 + 0.0598475i
\(511\) −9.20051 84.5973i −0.0180049 0.165552i
\(512\) −535.768 148.755i −1.04642 0.290538i
\(513\) 47.5089 70.0704i 0.0926100 0.136589i
\(514\) −493.175 819.663i −0.959484 1.59467i
\(515\) −139.775 + 7.57837i −0.271407 + 0.0147153i
\(516\) −172.965 182.597i −0.335203 0.353870i
\(517\) 901.982 685.669i 1.74465 1.32624i
\(518\) 29.1834 6.42374i 0.0563385 0.0124010i
\(519\) −387.386 + 329.049i −0.746409 + 0.634005i
\(520\) −13.0167 + 240.080i −0.0250322 + 0.461691i
\(521\) −221.253 417.328i −0.424671 0.801014i 0.575185 0.818024i \(-0.304930\pi\)
−0.999855 + 0.0170097i \(0.994585\pi\)
\(522\) 120.506 547.464i 0.230854 1.04878i
\(523\) −179.665 + 83.1220i −0.343528 + 0.158933i −0.584065 0.811707i \(-0.698539\pi\)
0.240537 + 0.970640i \(0.422677\pi\)
\(524\) −35.1898 + 58.4859i −0.0671561 + 0.111614i
\(525\) 23.8695 45.0226i 0.0454656 0.0857573i
\(526\) −10.4263 8.85614i −0.0198218 0.0168368i
\(527\) 114.831 121.226i 0.217896 0.230030i
\(528\) −111.412 + 1024.42i −0.211008 + 1.94018i
\(529\) −85.3721 + 214.268i −0.161384 + 0.405043i
\(530\) 72.5102i 0.136812i
\(531\) −175.691 21.4878i −0.330868 0.0404667i
\(532\) −211.782 −0.398087
\(533\) 281.460 + 112.144i 0.528067 + 0.210401i
\(534\) 78.0156 + 8.48471i 0.146097 + 0.0158890i
\(535\) −220.471 208.841i −0.412095 0.390357i
\(536\) 389.791 458.897i 0.727222 0.856152i
\(537\) 393.778 + 208.768i 0.733293 + 0.388767i
\(538\) −155.181 93.3694i −0.288441 0.173549i
\(539\) 260.042 + 562.072i 0.482453 + 1.04281i
\(540\) −75.2430 16.5622i −0.139339 0.0306708i
\(541\) −438.866 + 232.672i −0.811213 + 0.430078i −0.821737 0.569867i \(-0.806995\pi\)
0.0105243 + 0.999945i \(0.496650\pi\)
\(542\) −785.381 42.5821i −1.44904 0.0785648i
\(543\) 184.211 + 216.870i 0.339247 + 0.399393i
\(544\) 68.3714 + 310.614i 0.125683 + 0.570982i
\(545\) 73.4260 + 96.5902i 0.134727 + 0.177230i
\(546\) 43.5097 41.2146i 0.0796881 0.0754846i
\(547\) 29.3782 + 541.849i 0.0537079 + 0.990584i 0.893892 + 0.448282i \(0.147964\pi\)
−0.840184 + 0.542301i \(0.817553\pi\)
\(548\) −689.468 + 414.839i −1.25815 + 0.757005i
\(549\) 236.711 + 160.494i 0.431167 + 0.292339i
\(550\) −300.088 + 1080.82i −0.545614 + 1.96512i
\(551\) −806.227 + 87.6825i −1.46321 + 0.159133i
\(552\) 544.651 + 414.033i 0.986686 + 0.750060i
\(553\) −82.3606 38.1041i −0.148934 0.0689043i
\(554\) 138.910 94.1831i 0.250740 0.170006i
\(555\) −5.02159 14.9036i −0.00904792 0.0268533i
\(556\) −128.742 785.294i −0.231551 1.41240i
\(557\) −25.2505 + 154.021i −0.0453330 + 0.276519i −0.999760 0.0219269i \(-0.993020\pi\)
0.954427 + 0.298446i \(0.0964682\pi\)
\(558\) 444.013 + 149.605i 0.795722 + 0.268110i
\(559\) −27.5469 99.2149i −0.0492789 0.177486i
\(560\) 31.8555 + 79.9513i 0.0568848 + 0.142770i
\(561\) −84.4807 + 33.6602i −0.150589 + 0.0600003i
\(562\) −776.738 + 215.660i −1.38210 + 0.383737i
\(563\) −126.554 + 375.600i −0.224786 + 0.667141i 0.774612 + 0.632437i \(0.217945\pi\)
−0.999398 + 0.0347038i \(0.988951\pi\)
\(564\) 1493.94 + 244.918i 2.64882 + 0.434252i
\(565\) −287.850 + 47.1906i −0.509469 + 0.0835233i
\(566\) 1263.84 425.836i 2.23292 0.752360i
\(567\) 6.50557 + 9.59499i 0.0114737 + 0.0169224i
\(568\) 497.138 1074.55i 0.875244 1.89181i
\(569\) −535.559 + 704.516i −0.941229 + 1.23817i 0.0298859 + 0.999553i \(0.490486\pi\)
−0.971115 + 0.238612i \(0.923307\pi\)
\(570\) 16.8275 + 154.727i 0.0295220 + 0.271450i
\(571\) 681.848 + 189.314i 1.19413 + 0.331548i 0.807042 0.590495i \(-0.201067\pi\)
0.387088 + 0.922043i \(0.373481\pi\)
\(572\) −530.179 + 781.956i −0.926887 + 1.36706i
\(573\) 60.3136 + 100.242i 0.105259 + 0.174942i
\(574\) 204.418 11.0832i 0.356129 0.0193088i
\(575\) 271.322 + 286.431i 0.471864 + 0.498140i
\(576\) −276.017 + 209.823i −0.479196 + 0.364275i
\(577\) 284.655 62.6574i 0.493337 0.108592i 0.0386678 0.999252i \(-0.487689\pi\)
0.454669 + 0.890660i \(0.349758\pi\)
\(578\) 780.768 663.190i 1.35081 1.14739i
\(579\) 26.3300 485.628i 0.0454749 0.838736i
\(580\) 345.707 + 652.073i 0.596047 + 1.12426i
\(581\) −41.9653 + 190.650i −0.0722294 + 0.328142i
\(582\) 424.816 196.541i 0.729924 0.337699i
\(583\) 88.6693 147.370i 0.152091 0.252778i
\(584\) −707.669 + 1334.80i −1.21176 + 2.28562i
\(585\) −24.0398 20.4196i −0.0410937 0.0349053i
\(586\) 141.390 149.263i 0.241280 0.254716i
\(587\) −82.8640 + 761.922i −0.141165 + 1.29799i 0.682487 + 0.730898i \(0.260898\pi\)
−0.823652 + 0.567095i \(0.808067\pi\)
\(588\) −306.288 + 768.726i −0.520898 + 1.30736i
\(589\) 677.840i 1.15083i
\(590\) 271.752 178.996i 0.460596 0.303383i
\(591\) −116.417 −0.196982
\(592\) −261.091 104.028i −0.441032 0.175723i
\(593\) −680.799 74.0414i −1.14806 0.124859i −0.485756 0.874095i \(-0.661456\pi\)
−0.662304 + 0.749236i \(0.730421\pi\)
\(594\) −185.256 175.484i −0.311879 0.295427i
\(595\) −4.91708 + 5.78883i −0.00826400 + 0.00972913i
\(596\) 2321.40 + 1230.73i 3.89497 + 2.06498i
\(597\) −414.050 249.126i −0.693551 0.417296i
\(598\) 194.830 + 421.117i 0.325802 + 0.704209i
\(599\) 787.615 + 173.367i 1.31488 + 0.289428i 0.816408 0.577476i \(-0.195962\pi\)
0.498476 + 0.866904i \(0.333893\pi\)
\(600\) −799.329 + 423.777i −1.33221 + 0.706296i
\(601\) −936.860 50.7951i −1.55883 0.0845176i −0.745576 0.666420i \(-0.767826\pi\)
−0.813258 + 0.581903i \(0.802308\pi\)
\(602\) −45.0414 53.0268i −0.0748195 0.0880844i
\(603\) 16.9800 + 77.1410i 0.0281592 + 0.127929i
\(604\) −1086.93 1429.83i −1.79955 2.36727i
\(605\) 53.4793 50.6583i 0.0883956 0.0837328i
\(606\) 22.1747 + 408.988i 0.0365919 + 0.674897i
\(607\) 444.865 267.666i 0.732891 0.440966i −0.0995835 0.995029i \(-0.531751\pi\)
0.832475 + 0.554063i \(0.186923\pi\)
\(608\) 1068.63 + 724.552i 1.75762 + 1.19170i
\(609\) 29.7092 107.003i 0.0487836 0.175702i
\(610\) −522.696 + 56.8466i −0.856878 + 0.0931911i
\(611\) 493.399 + 375.072i 0.807527 + 0.613866i
\(612\) −110.279 51.0205i −0.180194 0.0833668i
\(613\) −395.706 + 268.295i −0.645523 + 0.437676i −0.839522 0.543326i \(-0.817165\pi\)
0.193998 + 0.981002i \(0.437854\pi\)
\(614\) −209.695 622.353i −0.341523 1.01360i
\(615\) −17.4308 106.323i −0.0283428 0.172884i
\(616\) −62.3402 + 380.258i −0.101202 + 0.617303i
\(617\) −245.196 82.6160i −0.397400 0.133900i 0.113504 0.993538i \(-0.463793\pi\)
−0.510904 + 0.859638i \(0.670689\pi\)
\(618\) −165.726 596.891i −0.268165 0.965844i
\(619\) −200.428 503.035i −0.323792 0.812658i −0.997297 0.0734747i \(-0.976591\pi\)
0.673505 0.739183i \(-0.264788\pi\)
\(620\) −573.066 + 228.330i −0.924300 + 0.368275i
\(621\) −86.4808 + 24.0113i −0.139261 + 0.0386655i
\(622\) 326.852 970.063i 0.525486 1.55959i
\(623\) 15.3415 + 2.51510i 0.0246251 + 0.00403708i
\(624\) −556.251 + 91.1928i −0.891429 + 0.146142i
\(625\) −443.277 + 149.357i −0.709243 + 0.238972i
\(626\) 722.256 + 1065.25i 1.15376 + 1.70167i
\(627\) −155.008 + 335.044i −0.247221 + 0.534360i
\(628\) 646.451 850.391i 1.02938 1.35413i
\(629\) −2.68171 24.6580i −0.00426346 0.0392018i
\(630\) −20.5354 5.70163i −0.0325959 0.00905020i
\(631\) −75.9001 + 111.944i −0.120285 + 0.177408i −0.883065 0.469251i \(-0.844524\pi\)
0.762779 + 0.646659i \(0.223834\pi\)
\(632\) 830.627 + 1380.51i 1.31428 + 2.18436i
\(633\) −704.565 + 38.2004i −1.11306 + 0.0603482i
\(634\) 201.679 + 212.910i 0.318106 + 0.335820i
\(635\) 39.4730 30.0066i 0.0621622 0.0472545i
\(636\) 224.431 49.4010i 0.352879 0.0776745i
\(637\) −258.201 + 219.317i −0.405338 + 0.344297i
\(638\) −132.340 + 2440.87i −0.207429 + 3.82581i
\(639\) 72.7543 + 137.229i 0.113856 + 0.214756i
\(640\) 36.9095 167.682i 0.0576711 0.262003i
\(641\) 323.707 149.763i 0.505002 0.233639i −0.150810 0.988563i \(-0.548188\pi\)
0.655813 + 0.754924i \(0.272326\pi\)
\(642\) 692.861 1151.54i 1.07922 1.79368i
\(643\) −61.6730 + 116.328i −0.0959144 + 0.180914i −0.926826 0.375490i \(-0.877474\pi\)
0.830912 + 0.556404i \(0.187819\pi\)
\(644\) 171.126 + 145.355i 0.265723 + 0.225707i
\(645\) −25.1813 + 26.5836i −0.0390407 + 0.0412148i
\(646\) −26.5394 + 244.025i −0.0410826 + 0.377748i
\(647\) 154.824 388.579i 0.239295 0.600585i −0.759456 0.650559i \(-0.774535\pi\)
0.998751 + 0.0499741i \(0.0159139\pi\)
\(648\) 205.813i 0.317613i
\(649\) 771.193 31.4789i 1.18828 0.0485038i
\(650\) −613.591 −0.943986
\(651\) 86.2267 + 34.3559i 0.132453 + 0.0527740i
\(652\) −1989.61 216.383i −3.05155 0.331876i
\(653\) 463.803 + 439.337i 0.710264 + 0.672798i 0.954937 0.296808i \(-0.0959220\pi\)
−0.244673 + 0.969606i \(0.578681\pi\)
\(654\) −347.606 + 409.234i −0.531508 + 0.625740i
\(655\) 8.77960 + 4.65465i 0.0134040 + 0.00710634i
\(656\) −1649.85 992.679i −2.51501 1.51323i
\(657\) −83.2206 179.878i −0.126668 0.273787i
\(658\) 408.983 + 90.0240i 0.621555 + 0.136815i
\(659\) −353.692 + 187.516i −0.536710 + 0.284546i −0.714634 0.699499i \(-0.753407\pi\)
0.177924 + 0.984044i \(0.443062\pi\)
\(660\) 335.470 + 18.1887i 0.508289 + 0.0275586i
\(661\) 60.6529 + 71.4062i 0.0917594 + 0.108027i 0.806125 0.591745i \(-0.201561\pi\)
−0.714366 + 0.699772i \(0.753285\pi\)
\(662\) 26.8416 + 121.943i 0.0405463 + 0.184204i
\(663\) −30.1047 39.6020i −0.0454067 0.0597315i
\(664\) 2516.17 2383.45i 3.78942 3.58953i
\(665\) 1.66924 + 30.7874i 0.00251014 + 0.0462968i
\(666\) 59.6354 35.8814i 0.0895426 0.0538760i
\(667\) 711.633 + 482.499i 1.06692 + 0.723387i
\(668\) 135.867 489.348i 0.203393 0.732556i
\(669\) 661.082 71.8970i 0.988164 0.107469i
\(670\) −115.604 87.8802i −0.172544 0.131164i
\(671\) −1131.84 523.645i −1.68680 0.780395i
\(672\) −146.332 + 99.2155i −0.217756 + 0.147642i
\(673\) 282.322 + 837.901i 0.419497 + 1.24502i 0.924259 + 0.381765i \(0.124684\pi\)
−0.504762 + 0.863258i \(0.668420\pi\)
\(674\) 248.843 + 1517.87i 0.369203 + 2.25204i
\(675\) 19.2015 117.124i 0.0284466 0.173517i
\(676\) 1126.50 + 379.562i 1.66642 + 0.561482i
\(677\) 132.893 + 478.638i 0.196297 + 0.706998i 0.994512 + 0.104625i \(0.0333642\pi\)
−0.798215 + 0.602373i \(0.794222\pi\)
\(678\) −477.798 1199.18i −0.704717 1.76871i
\(679\) 86.1417 34.3220i 0.126866 0.0505479i
\(680\) 129.931 36.0752i 0.191075 0.0530517i
\(681\) 83.9867 249.264i 0.123329 0.366026i
\(682\) −2016.22 330.543i −2.95634 0.484667i
\(683\) 1023.55 167.803i 1.49861 0.245685i 0.644028 0.765002i \(-0.277262\pi\)
0.854581 + 0.519317i \(0.173814\pi\)
\(684\) −467.440 + 157.499i −0.683391 + 0.230261i
\(685\) 65.7405 + 96.9599i 0.0959715 + 0.141547i
\(686\) −195.598 + 422.778i −0.285128 + 0.616294i
\(687\) 203.015 267.061i 0.295509 0.388735i
\(688\) 70.7503 + 650.538i 0.102835 + 0.945549i
\(689\) 90.6513 + 25.1692i 0.131569 + 0.0365301i
\(690\) 92.5986 136.573i 0.134201 0.197931i
\(691\) 163.885 + 272.380i 0.237171 + 0.394182i 0.952468 0.304639i \(-0.0985359\pi\)
−0.715296 + 0.698821i \(0.753708\pi\)
\(692\) 2957.11 160.330i 4.27329 0.231691i
\(693\) −34.7638 36.6997i −0.0501643 0.0529578i
\(694\) 332.517 252.773i 0.479131 0.364226i
\(695\) −113.145 + 24.9052i −0.162799 + 0.0358348i
\(696\) −1502.67 + 1276.38i −2.15901 + 1.83388i
\(697\) 9.19957 169.676i 0.0131988 0.243438i
\(698\) −783.303 1477.47i −1.12221 2.11671i
\(699\) 52.9060 240.354i 0.0756881 0.343854i
\(700\) −269.469 + 124.670i −0.384956 + 0.178100i
\(701\) 290.321 482.517i 0.414153 0.688327i −0.577625 0.816303i \(-0.696020\pi\)
0.991777 + 0.127975i \(0.0408478\pi\)
\(702\) 65.3828 123.325i 0.0931378 0.175677i
\(703\) −76.7404 65.1838i −0.109161 0.0927224i
\(704\) 1039.73 1097.63i 1.47689 1.55914i
\(705\) 23.8294 219.108i 0.0338006 0.310791i
\(706\) −580.903 + 1457.96i −0.822809 + 2.06510i
\(707\) 81.1407i 0.114768i
\(708\) 739.165 + 719.166i 1.04402 + 1.01577i
\(709\) −388.144 −0.547452 −0.273726 0.961808i \(-0.588256\pi\)
−0.273726 + 0.961808i \(0.588256\pi\)
\(710\) −265.271 105.694i −0.373621 0.148864i
\(711\) −210.121 22.8521i −0.295529 0.0321407i
\(712\) −200.380 189.810i −0.281433 0.266587i
\(713\) −465.231 + 547.712i −0.652497 + 0.768179i
\(714\) −29.6969 15.7443i −0.0415923 0.0220508i
\(715\) 117.854 + 70.9102i 0.164830 + 0.0991752i
\(716\) −1090.39 2356.84i −1.52289 3.29168i
\(717\) 295.211 + 64.9807i 0.411730 + 0.0906287i
\(718\) −1581.57 + 838.497i −2.20275 + 1.16782i
\(719\) −295.084 15.9990i −0.410408 0.0222517i −0.152221 0.988347i \(-0.548642\pi\)
−0.258188 + 0.966095i \(0.583125\pi\)
\(720\) 129.769 + 152.776i 0.180234 + 0.212188i
\(721\) −26.3810 119.850i −0.0365894 0.166227i
\(722\) −217.083 285.568i −0.300670 0.395524i
\(723\) −45.0569 + 42.6801i −0.0623193 + 0.0590320i
\(724\) −89.7575 1655.48i −0.123974 2.28657i
\(725\) −974.217 + 586.167i −1.34375 + 0.808506i
\(726\) 269.820 + 182.943i 0.371653 + 0.251987i
\(727\) 329.107 1185.34i 0.452691 1.63045i −0.287307 0.957839i \(-0.592760\pi\)
0.739998 0.672609i \(-0.234826\pi\)
\(728\) −209.549 + 22.7898i −0.287842 + 0.0313047i
\(729\) 21.4945 + 16.3397i 0.0294849 + 0.0224139i
\(730\) 330.697 + 152.997i 0.453010 + 0.209585i
\(731\) −47.7987 + 32.4083i −0.0653881 + 0.0443342i
\(732\) −532.060 1579.10i −0.726858 2.15724i
\(733\) −31.5629 192.525i −0.0430598 0.262653i 0.956519 0.291670i \(-0.0942108\pi\)
−0.999579 + 0.0290163i \(0.990763\pi\)
\(734\) 387.523 2363.78i 0.527960 3.22042i
\(735\) 114.166 + 38.4669i 0.155328 + 0.0523359i
\(736\) −366.193 1318.91i −0.497544 1.79199i
\(737\) −127.490 319.975i −0.172984 0.434158i
\(738\) 442.943 176.485i 0.600194 0.239139i
\(739\) 880.596 244.496i 1.19160 0.330847i 0.385549 0.922687i \(-0.374012\pi\)
0.806056 + 0.591840i \(0.201598\pi\)
\(740\) −29.2584 + 86.8358i −0.0395384 + 0.117346i
\(741\) −199.278 32.6700i −0.268932 0.0440891i
\(742\) 62.7316 10.2843i 0.0845439 0.0138603i
\(743\) −1225.93 + 413.063i −1.64997 + 0.555940i −0.982104 0.188341i \(-0.939689\pi\)
−0.667867 + 0.744280i \(0.732793\pi\)
\(744\) −924.783 1363.95i −1.24299 1.83327i
\(745\) 160.617 347.169i 0.215594 0.465998i
\(746\) −993.816 + 1307.34i −1.33219 + 1.75247i
\(747\) 49.1586 + 452.006i 0.0658081 + 0.605095i
\(748\) 510.547 + 141.753i 0.682549 + 0.189509i
\(749\) 149.407 220.359i 0.199475 0.294204i
\(750\) 235.619 + 391.602i 0.314159 + 0.522136i
\(751\) 1300.11 70.4898i 1.73117 0.0938613i 0.838593 0.544758i \(-0.183378\pi\)
0.892576 + 0.450897i \(0.148896\pi\)
\(752\) −2708.67 2859.51i −3.60196 3.80254i
\(753\) −150.925 + 114.730i −0.200431 + 0.152364i
\(754\) −1305.89 + 287.449i −1.73195 + 0.381232i
\(755\) −199.291 + 169.279i −0.263961 + 0.224211i
\(756\) 3.65675 67.4449i 0.00483698 0.0892128i
\(757\) −281.268 530.527i −0.371556 0.700828i 0.625273 0.780406i \(-0.284988\pi\)
−0.996829 + 0.0795779i \(0.974643\pi\)
\(758\) −339.030 + 1540.23i −0.447270 + 2.03197i
\(759\) 355.205 164.335i 0.467991 0.216516i
\(760\) 282.214 469.044i 0.371335 0.617163i
\(761\) 85.3465 160.981i 0.112151 0.211538i −0.821083 0.570809i \(-0.806630\pi\)
0.933233 + 0.359271i \(0.116975\pi\)
\(762\) 167.239 + 142.054i 0.219474 + 0.186423i
\(763\) −73.1499 + 77.2234i −0.0958715 + 0.101210i
\(764\) 73.6974 677.636i 0.0964625 0.886958i
\(765\) −6.54777 + 16.4337i −0.00855918 + 0.0214819i
\(766\) 548.294i 0.715789i
\(767\) 129.450 + 401.872i 0.168775 + 0.523953i
\(768\) −40.8758 −0.0532237
\(769\) −45.0351 17.9436i −0.0585632 0.0233337i 0.340673 0.940182i \(-0.389345\pi\)
−0.399236 + 0.916848i \(0.630725\pi\)
\(770\) 92.3904 + 10.0481i 0.119988 + 0.0130494i
\(771\) −320.433 303.531i −0.415608 0.393684i
\(772\) −1834.48 + 2159.72i −2.37627 + 2.79756i
\(773\) −376.014 199.350i −0.486434 0.257891i 0.207093 0.978321i \(-0.433600\pi\)
−0.693527 + 0.720430i \(0.743944\pi\)