Properties

Label 177.3.g.a.10.19
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 10.19
Character \(\chi\) \(=\) 177.10
Dual form 177.3.g.a.124.19

$q$-expansion

\(f(q)\) \(=\) \(q+(3.27139 + 1.30344i) q^{2} +(-1.72190 - 0.187268i) q^{3} +(6.09906 + 5.77734i) q^{4} +(-5.84142 + 6.87706i) q^{5} +(-5.38891 - 2.85702i) q^{6} +(-0.280020 - 0.168482i) q^{7} +(6.50743 + 14.0656i) q^{8} +(2.92986 + 0.644911i) q^{9} +O(q^{10})\) \(q+(3.27139 + 1.30344i) q^{2} +(-1.72190 - 0.187268i) q^{3} +(6.09906 + 5.77734i) q^{4} +(-5.84142 + 6.87706i) q^{5} +(-5.38891 - 2.85702i) q^{6} +(-0.280020 - 0.168482i) q^{7} +(6.50743 + 14.0656i) q^{8} +(2.92986 + 0.644911i) q^{9} +(-28.0734 + 14.8836i) q^{10} +(5.71778 + 0.310009i) q^{11} +(-9.42005 - 11.0901i) q^{12} +(0.0412895 + 0.187580i) q^{13} +(-0.696448 - 0.916161i) q^{14} +(11.3462 - 10.7477i) q^{15} +(1.13542 + 20.9415i) q^{16} +(23.2666 - 13.9990i) q^{17} +(8.74412 + 5.92866i) q^{18} +(-7.91732 + 28.5156i) q^{19} +(-75.3583 + 8.19570i) q^{20} +(0.450614 + 0.342548i) q^{21} +(18.3010 + 8.46696i) q^{22} +(24.1397 - 16.3671i) q^{23} +(-8.57110 - 25.4381i) q^{24} +(-9.12712 - 55.6729i) q^{25} +(-0.109426 + 0.667466i) q^{26} +(-4.92415 - 1.65914i) q^{27} +(-0.734479 - 2.64535i) q^{28} +(14.1671 + 35.5567i) q^{29} +(51.1268 - 20.3708i) q^{30} +(0.724865 - 0.201258i) q^{31} +(-3.78755 + 11.2411i) q^{32} +(-9.78738 - 1.60456i) q^{33} +(94.3609 - 15.4697i) q^{34} +(2.79438 - 0.941536i) q^{35} +(14.1435 + 20.8601i) q^{36} +(13.8200 - 29.8715i) q^{37} +(-63.0691 + 82.9659i) q^{38} +(-0.0359686 - 0.330726i) q^{39} +(-134.742 - 37.4111i) q^{40} +(-3.61368 + 5.32977i) q^{41} +(1.02764 + 1.70796i) q^{42} +(-64.4827 + 3.49615i) q^{43} +(33.0821 + 34.9243i) q^{44} +(-21.5497 + 16.3816i) q^{45} +(100.304 - 22.0786i) q^{46} +(16.2465 - 13.7999i) q^{47} +(1.96660 - 36.2718i) q^{48} +(-22.9020 - 43.1977i) q^{49} +(42.7081 - 194.025i) q^{50} +(-42.6842 + 19.7478i) q^{51} +(-0.831886 + 1.38261i) q^{52} +(24.2810 - 45.7989i) q^{53} +(-13.9462 - 11.8460i) q^{54} +(-35.5319 + 37.5106i) q^{55} +(0.547593 - 5.03503i) q^{56} +(18.9729 - 47.6183i) q^{57} +134.786i q^{58} +(-48.5801 + 33.4810i) q^{59} +131.294 q^{60} +(-64.0342 - 25.5136i) q^{61} +(2.63365 + 0.286426i) q^{62} +(-0.711764 - 0.674218i) q^{63} +(27.2661 - 32.1001i) q^{64} +(-1.53119 - 0.811785i) q^{65} +(-29.9269 - 18.0064i) q^{66} +(21.6645 + 46.8271i) q^{67} +(222.781 + 49.0378i) q^{68} +(-44.6312 + 23.6619i) q^{69} +(10.3687 + 0.562177i) q^{70} +(14.8670 + 17.5028i) q^{71} +(9.99482 + 45.4069i) q^{72} +(82.4025 + 108.399i) q^{73} +(84.1465 - 79.7078i) q^{74} +(5.29022 + 97.5723i) q^{75} +(-213.032 + 128.177i) q^{76} +(-1.54886 - 1.05015i) q^{77} +(0.313414 - 1.12882i) q^{78} +(58.9595 - 6.41223i) q^{79} +(-150.649 - 114.520i) q^{80} +(8.16818 + 3.77900i) q^{81} +(-18.7688 + 12.7256i) q^{82} +(-1.43379 - 4.25534i) q^{83} +(0.769308 + 4.69257i) q^{84} +(-39.6378 + 241.780i) q^{85} +(-215.505 - 72.6121i) q^{86} +(-17.7357 - 63.8781i) q^{87} +(32.8476 + 82.4413i) q^{88} +(88.8878 - 35.4161i) q^{89} +(-91.8498 + 25.5020i) q^{90} +(0.0200421 - 0.0594827i) q^{91} +(241.788 + 39.6391i) q^{92} +(-1.28583 + 0.210802i) q^{93} +(71.1360 - 23.9685i) q^{94} +(-149.855 - 221.020i) q^{95} +(8.62686 - 18.6467i) q^{96} +(-37.5419 + 49.3855i) q^{97} +(-18.6157 - 171.168i) q^{98} +(16.5524 + 4.59575i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 3.27139 + 1.30344i 1.63570 + 0.651721i 0.993396 0.114733i \(-0.0366013\pi\)
0.642299 + 0.766454i \(0.277981\pi\)
\(3\) −1.72190 0.187268i −0.573966 0.0624225i
\(4\) 6.09906 + 5.77734i 1.52476 + 1.44433i
\(5\) −5.84142 + 6.87706i −1.16828 + 1.37541i −0.255582 + 0.966787i \(0.582267\pi\)
−0.912703 + 0.408624i \(0.866009\pi\)
\(6\) −5.38891 2.85702i −0.898151 0.476170i
\(7\) −0.280020 0.168482i −0.0400028 0.0240689i 0.495412 0.868658i \(-0.335017\pi\)
−0.535415 + 0.844589i \(0.679845\pi\)
\(8\) 6.50743 + 14.0656i 0.813429 + 1.75820i
\(9\) 2.92986 + 0.644911i 0.325540 + 0.0716568i
\(10\) −28.0734 + 14.8836i −2.80734 + 1.48836i
\(11\) 5.71778 + 0.310009i 0.519798 + 0.0281827i 0.312172 0.950026i \(-0.398943\pi\)
0.207626 + 0.978208i \(0.433426\pi\)
\(12\) −9.42005 11.0901i −0.785004 0.924178i
\(13\) 0.0412895 + 0.187580i 0.00317612 + 0.0144292i 0.978182 0.207750i \(-0.0666140\pi\)
−0.975006 + 0.222179i \(0.928683\pi\)
\(14\) −0.696448 0.916161i −0.0497463 0.0654401i
\(15\) 11.3462 10.7477i 0.756412 0.716512i
\(16\) 1.13542 + 20.9415i 0.0709635 + 1.30885i
\(17\) 23.2666 13.9990i 1.36862 0.823472i 0.374038 0.927414i \(-0.377973\pi\)
0.994583 + 0.103942i \(0.0331455\pi\)
\(18\) 8.74412 + 5.92866i 0.485784 + 0.329370i
\(19\) −7.91732 + 28.5156i −0.416701 + 1.50082i 0.396060 + 0.918224i \(0.370377\pi\)
−0.812761 + 0.582597i \(0.802037\pi\)
\(20\) −75.3583 + 8.19570i −3.76791 + 0.409785i
\(21\) 0.450614 + 0.342548i 0.0214578 + 0.0163118i
\(22\) 18.3010 + 8.46696i 0.831865 + 0.384862i
\(23\) 24.1397 16.3671i 1.04955 0.711615i 0.0908041 0.995869i \(-0.471056\pi\)
0.958749 + 0.284254i \(0.0917460\pi\)
\(24\) −8.57110 25.4381i −0.357129 1.05992i
\(25\) −9.12712 55.6729i −0.365085 2.22692i
\(26\) −0.109426 + 0.667466i −0.00420868 + 0.0256718i
\(27\) −4.92415 1.65914i −0.182376 0.0614496i
\(28\) −0.734479 2.64535i −0.0262314 0.0944769i
\(29\) 14.1671 + 35.5567i 0.488521 + 1.22609i 0.942237 + 0.334948i \(0.108719\pi\)
−0.453716 + 0.891146i \(0.649902\pi\)
\(30\) 51.1268 20.3708i 1.70423 0.679026i
\(31\) 0.724865 0.201258i 0.0233828 0.00649219i −0.255817 0.966725i \(-0.582345\pi\)
0.279200 + 0.960233i \(0.409931\pi\)
\(32\) −3.78755 + 11.2411i −0.118361 + 0.351283i
\(33\) −9.78738 1.60456i −0.296587 0.0486230i
\(34\) 94.3609 15.4697i 2.77532 0.454991i
\(35\) 2.79438 0.941536i 0.0798394 0.0269010i
\(36\) 14.1435 + 20.8601i 0.392876 + 0.579449i
\(37\) 13.8200 29.8715i 0.373514 0.807338i −0.626105 0.779739i \(-0.715352\pi\)
0.999619 0.0275990i \(-0.00878616\pi\)
\(38\) −63.0691 + 82.9659i −1.65971 + 2.18331i
\(39\) −0.0359686 0.330726i −0.000922272 0.00848015i
\(40\) −134.742 37.4111i −3.36856 0.935277i
\(41\) −3.61368 + 5.32977i −0.0881384 + 0.129994i −0.869202 0.494457i \(-0.835367\pi\)
0.781064 + 0.624451i \(0.214677\pi\)
\(42\) 1.02764 + 1.70796i 0.0244677 + 0.0406657i
\(43\) −64.4827 + 3.49615i −1.49960 + 0.0813058i −0.785553 0.618795i \(-0.787621\pi\)
−0.714044 + 0.700101i \(0.753138\pi\)
\(44\) 33.0821 + 34.9243i 0.751865 + 0.793734i
\(45\) −21.5497 + 16.3816i −0.478881 + 0.364036i
\(46\) 100.304 22.0786i 2.18052 0.479969i
\(47\) 16.2465 13.7999i 0.345670 0.293615i −0.457686 0.889114i \(-0.651322\pi\)
0.803356 + 0.595499i \(0.203046\pi\)
\(48\) 1.96660 36.2718i 0.0409708 0.755662i
\(49\) −22.9020 43.1977i −0.467388 0.881586i
\(50\) 42.7081 194.025i 0.854161 3.88049i
\(51\) −42.6842 + 19.7478i −0.836945 + 0.387212i
\(52\) −0.831886 + 1.38261i −0.0159978 + 0.0265886i
\(53\) 24.2810 45.7989i 0.458132 0.864130i −0.541592 0.840642i \(-0.682178\pi\)
0.999724 0.0234878i \(-0.00747709\pi\)
\(54\) −13.9462 11.8460i −0.258264 0.219371i
\(55\) −35.5319 + 37.5106i −0.646035 + 0.682011i
\(56\) 0.547593 5.03503i 0.00977844 0.0899113i
\(57\) 18.9729 47.6183i 0.332857 0.835409i
\(58\) 134.786i 2.32390i
\(59\) −48.5801 + 33.4810i −0.823391 + 0.567474i
\(60\) 131.294 2.18823
\(61\) −64.0342 25.5136i −1.04974 0.418255i −0.219473 0.975619i \(-0.570434\pi\)
−0.830269 + 0.557364i \(0.811813\pi\)
\(62\) 2.63365 + 0.286426i 0.0424782 + 0.00461978i
\(63\) −0.711764 0.674218i −0.0112978 0.0107019i
\(64\) 27.2661 32.1001i 0.426032 0.501564i
\(65\) −1.53119 0.811785i −0.0235568 0.0124890i
\(66\) −29.9269 18.0064i −0.453438 0.272825i
\(67\) 21.6645 + 46.8271i 0.323351 + 0.698912i 0.999275 0.0380590i \(-0.0121175\pi\)
−0.675924 + 0.736971i \(0.736255\pi\)
\(68\) 222.781 + 49.0378i 3.27619 + 0.721145i
\(69\) −44.6312 + 23.6619i −0.646828 + 0.342927i
\(70\) 10.3687 + 0.562177i 0.148125 + 0.00803110i
\(71\) 14.8670 + 17.5028i 0.209395 + 0.246519i 0.856826 0.515605i \(-0.172433\pi\)
−0.647432 + 0.762123i \(0.724157\pi\)
\(72\) 9.99482 + 45.4069i 0.138817 + 0.630652i
\(73\) 82.4025 + 108.399i 1.12880 + 1.48491i 0.851669 + 0.524081i \(0.175591\pi\)
0.277132 + 0.960832i \(0.410616\pi\)
\(74\) 84.1465 79.7078i 1.13711 1.07713i
\(75\) 5.29022 + 97.5723i 0.0705362 + 1.30096i
\(76\) −213.032 + 128.177i −2.80306 + 1.68654i
\(77\) −1.54886 1.05015i −0.0201151 0.0136384i
\(78\) 0.313414 1.12882i 0.00401813 0.0144720i
\(79\) 58.9595 6.41223i 0.746323 0.0811675i 0.272948 0.962029i \(-0.412001\pi\)
0.473375 + 0.880861i \(0.343036\pi\)
\(80\) −150.649 114.520i −1.88311 1.43150i
\(81\) 8.16818 + 3.77900i 0.100842 + 0.0466543i
\(82\) −18.7688 + 12.7256i −0.228888 + 0.155190i
\(83\) −1.43379 4.25534i −0.0172746 0.0512692i 0.938669 0.344819i \(-0.112060\pi\)
−0.955944 + 0.293550i \(0.905163\pi\)
\(84\) 0.769308 + 4.69257i 0.00915843 + 0.0558639i
\(85\) −39.6378 + 241.780i −0.466327 + 2.84447i
\(86\) −215.505 72.6121i −2.50587 0.844327i
\(87\) −17.7357 63.8781i −0.203858 0.734231i
\(88\) 32.8476 + 82.4413i 0.373269 + 0.936833i
\(89\) 88.8878 35.4161i 0.998739 0.397934i 0.187257 0.982311i \(-0.440040\pi\)
0.811482 + 0.584377i \(0.198661\pi\)
\(90\) −91.8498 + 25.5020i −1.02055 + 0.283355i
\(91\) 0.0200421 0.0594827i 0.000220243 0.000653656i
\(92\) 241.788 + 39.6391i 2.62813 + 0.430860i
\(93\) −1.28583 + 0.210802i −0.0138262 + 0.00226668i
\(94\) 71.1360 23.9685i 0.756766 0.254984i
\(95\) −149.855 221.020i −1.57742 2.32652i
\(96\) 8.62686 18.6467i 0.0898631 0.194236i
\(97\) −37.5419 + 49.3855i −0.387029 + 0.509128i −0.947810 0.318836i \(-0.896708\pi\)
0.560780 + 0.827965i \(0.310501\pi\)
\(98\) −18.6157 171.168i −0.189956 1.74661i
\(99\) 16.5524 + 4.59575i 0.167196 + 0.0464217i
\(100\) 265.974 392.283i 2.65974 3.92283i
\(101\) −44.4784 73.9237i −0.440380 0.731917i 0.554586 0.832126i \(-0.312877\pi\)
−0.994966 + 0.100209i \(0.968049\pi\)
\(102\) −165.377 + 8.96647i −1.62134 + 0.0879066i
\(103\) −94.8225 100.103i −0.920606 0.971872i 0.0790812 0.996868i \(-0.474801\pi\)
−0.999688 + 0.0249959i \(0.992043\pi\)
\(104\) −2.36974 + 1.80143i −0.0227859 + 0.0173214i
\(105\) −4.98795 + 1.09793i −0.0475043 + 0.0104565i
\(106\) 139.129 118.177i 1.31254 1.11488i
\(107\) −3.27876 + 60.4732i −0.0306426 + 0.565170i 0.942392 + 0.334511i \(0.108571\pi\)
−0.973035 + 0.230659i \(0.925912\pi\)
\(108\) −20.4473 38.5677i −0.189327 0.357108i
\(109\) 25.4469 115.607i 0.233458 1.06061i −0.703371 0.710823i \(-0.748323\pi\)
0.936829 0.349788i \(-0.113746\pi\)
\(110\) −165.132 + 76.3981i −1.50120 + 0.694528i
\(111\) −29.3906 + 48.8476i −0.264781 + 0.440069i
\(112\) 3.21034 6.05534i 0.0286638 0.0540656i
\(113\) 65.4288 + 55.5757i 0.579016 + 0.491821i 0.888371 0.459126i \(-0.151837\pi\)
−0.309355 + 0.950947i \(0.600113\pi\)
\(114\) 124.135 131.048i 1.08891 1.14954i
\(115\) −28.4526 + 261.618i −0.247414 + 2.27494i
\(116\) −119.017 + 298.711i −1.02601 + 2.57509i
\(117\) 0.576212i 0.00492489i
\(118\) −202.565 + 46.2082i −1.71665 + 0.391595i
\(119\) −8.87369 −0.0745688
\(120\) 225.007 + 89.6509i 1.87506 + 0.747091i
\(121\) −87.6938 9.53727i −0.724742 0.0788204i
\(122\) −176.226 166.930i −1.44447 1.36828i
\(123\) 7.22047 8.50060i 0.0587030 0.0691105i
\(124\) 5.58373 + 2.96031i 0.0450301 + 0.0238734i
\(125\) 242.894 + 146.144i 1.94315 + 1.16916i
\(126\) −1.44965 3.13337i −0.0115052 0.0248680i
\(127\) −84.6184 18.6259i −0.666286 0.146661i −0.131067 0.991374i \(-0.541840\pi\)
−0.535220 + 0.844713i \(0.679771\pi\)
\(128\) 172.959 91.6973i 1.35125 0.716385i
\(129\) 111.687 + 6.05551i 0.865793 + 0.0469419i
\(130\) −3.95100 4.65148i −0.0303923 0.0357806i
\(131\) −36.6879 166.675i −0.280061 1.27233i −0.881032 0.473057i \(-0.843150\pi\)
0.600971 0.799271i \(-0.294781\pi\)
\(132\) −50.4237 66.3313i −0.381998 0.502510i
\(133\) 7.02138 6.65101i 0.0527924 0.0500076i
\(134\) 9.83675 + 181.428i 0.0734086 + 1.35394i
\(135\) 40.1740 24.1719i 0.297586 0.179051i
\(136\) 348.310 + 236.160i 2.56110 + 1.73647i
\(137\) −60.8123 + 219.026i −0.443885 + 1.59873i 0.316058 + 0.948740i \(0.397641\pi\)
−0.759943 + 0.649990i \(0.774773\pi\)
\(138\) −176.848 + 19.2334i −1.28151 + 0.139372i
\(139\) −131.334 99.8374i −0.944848 0.718255i 0.0146728 0.999892i \(-0.495329\pi\)
−0.959521 + 0.281637i \(0.909122\pi\)
\(140\) 22.4826 + 10.4016i 0.160590 + 0.0742970i
\(141\) −30.5591 + 20.7196i −0.216731 + 0.146947i
\(142\) 25.8220 + 76.6369i 0.181845 + 0.539696i
\(143\) 0.177933 + 1.08534i 0.00124429 + 0.00758981i
\(144\) −10.1788 + 62.0880i −0.0706862 + 0.431167i
\(145\) −327.282 110.274i −2.25712 0.760511i
\(146\) 128.280 + 462.021i 0.878627 + 3.16453i
\(147\) 31.3453 + 78.6709i 0.213234 + 0.535176i
\(148\) 256.867 102.345i 1.73559 0.691521i
\(149\) 57.8101 16.0509i 0.387987 0.107724i −0.0680564 0.997681i \(-0.521680\pi\)
0.456044 + 0.889957i \(0.349266\pi\)
\(150\) −109.873 + 326.093i −0.732490 + 2.17395i
\(151\) −152.781 25.0472i −1.01179 0.165875i −0.366991 0.930224i \(-0.619612\pi\)
−0.644803 + 0.764349i \(0.723060\pi\)
\(152\) −452.610 + 74.2016i −2.97770 + 0.488169i
\(153\) 77.1959 26.0103i 0.504548 0.170002i
\(154\) −3.69812 5.45432i −0.0240138 0.0354176i
\(155\) −2.85018 + 6.16057i −0.0183883 + 0.0397456i
\(156\) 1.69134 2.22492i 0.0108419 0.0142623i
\(157\) 7.82202 + 71.9223i 0.0498218 + 0.458104i 0.992302 + 0.123842i \(0.0395215\pi\)
−0.942480 + 0.334262i \(0.891513\pi\)
\(158\) 201.238 + 55.8733i 1.27366 + 0.353629i
\(159\) −50.3861 + 74.3139i −0.316894 + 0.467383i
\(160\) −55.1807 91.7110i −0.344879 0.573194i
\(161\) −9.51718 + 0.516006i −0.0591129 + 0.00320501i
\(162\) 21.7956 + 23.0093i 0.134541 + 0.142033i
\(163\) 169.432 128.799i 1.03946 0.790179i 0.0613211 0.998118i \(-0.480469\pi\)
0.978142 + 0.207939i \(0.0666755\pi\)
\(164\) −52.8319 + 11.6292i −0.322146 + 0.0709096i
\(165\) 68.2069 57.9355i 0.413375 0.351124i
\(166\) 0.856096 15.7898i 0.00515720 0.0951190i
\(167\) −57.2638 108.011i −0.342897 0.646772i 0.650753 0.759290i \(-0.274453\pi\)
−0.993650 + 0.112518i \(0.964109\pi\)
\(168\) −1.88580 + 8.56726i −0.0112250 + 0.0509956i
\(169\) 153.347 70.9458i 0.907377 0.419797i
\(170\) −444.816 + 739.290i −2.61657 + 4.34877i
\(171\) −41.5867 + 78.4408i −0.243197 + 0.458718i
\(172\) −413.482 351.215i −2.40397 2.04195i
\(173\) 192.451 203.168i 1.11243 1.17438i 0.129277 0.991608i \(-0.458734\pi\)
0.983155 0.182772i \(-0.0585071\pi\)
\(174\) 25.2411 232.088i 0.145064 1.33384i
\(175\) −6.82414 + 17.1273i −0.0389951 + 0.0978703i
\(176\) 120.091i 0.682336i
\(177\) 89.9198 48.5534i 0.508021 0.274313i
\(178\) 336.950 1.89297
\(179\) −78.1859 31.1521i −0.436792 0.174034i 0.141368 0.989957i \(-0.454850\pi\)
−0.578160 + 0.815923i \(0.696229\pi\)
\(180\) −226.075 24.5871i −1.25597 0.136595i
\(181\) 164.889 + 156.191i 0.910988 + 0.862933i 0.991000 0.133860i \(-0.0427374\pi\)
−0.0800124 + 0.996794i \(0.525496\pi\)
\(182\) 0.143098 0.168468i 0.000786251 0.000925646i
\(183\) 105.482 + 55.9233i 0.576407 + 0.305592i
\(184\) 387.301 + 233.031i 2.10490 + 1.26647i
\(185\) 124.699 + 269.533i 0.674051 + 1.45694i
\(186\) −4.48123 0.986393i −0.0240926 0.00530319i
\(187\) 137.373 72.8305i 0.734615 0.389468i
\(188\) 178.815 + 9.69507i 0.951144 + 0.0515695i
\(189\) 1.09932 + 1.29422i 0.00581653 + 0.00684775i
\(190\) −202.148 918.369i −1.06394 4.83352i
\(191\) −140.107 184.308i −0.733547 0.964965i −0.999999 0.00111656i \(-0.999645\pi\)
0.266452 0.963848i \(-0.414149\pi\)
\(192\) −52.9607 + 50.1670i −0.275837 + 0.261287i
\(193\) 1.39981 + 25.8180i 0.00725291 + 0.133772i 0.999917 + 0.0128687i \(0.00409634\pi\)
−0.992664 + 0.120903i \(0.961421\pi\)
\(194\) −187.185 + 112.626i −0.964872 + 0.580544i
\(195\) 2.48453 + 1.68455i 0.0127412 + 0.00863873i
\(196\) 109.887 395.778i 0.560649 2.01928i
\(197\) −53.6730 + 5.83729i −0.272452 + 0.0296309i −0.243325 0.969945i \(-0.578238\pi\)
−0.0291267 + 0.999576i \(0.509273\pi\)
\(198\) 48.1590 + 36.6096i 0.243227 + 0.184897i
\(199\) 165.875 + 76.7419i 0.833543 + 0.385638i 0.789770 0.613404i \(-0.210200\pi\)
0.0437730 + 0.999042i \(0.486062\pi\)
\(200\) 723.678 490.666i 3.61839 2.45333i
\(201\) −28.5349 84.6885i −0.141965 0.421336i
\(202\) −49.1511 299.808i −0.243322 1.48420i
\(203\) 2.02362 12.3435i 0.00996855 0.0608054i
\(204\) −374.423 126.158i −1.83541 0.618421i
\(205\) −15.5441 55.9849i −0.0758250 0.273097i
\(206\) −179.723 451.071i −0.872442 2.18967i
\(207\) 81.2814 32.3855i 0.392664 0.156452i
\(208\) −3.88133 + 1.07765i −0.0186603 + 0.00518100i
\(209\) −54.1096 + 160.592i −0.258898 + 0.768381i
\(210\) −17.7486 2.90974i −0.0845173 0.0138559i
\(211\) −30.7694 + 5.04438i −0.145826 + 0.0239070i −0.234253 0.972176i \(-0.575264\pi\)
0.0884266 + 0.996083i \(0.471816\pi\)
\(212\) 412.687 139.050i 1.94664 0.655898i
\(213\) −22.3218 32.9222i −0.104797 0.154564i
\(214\) −89.5494 + 193.558i −0.418455 + 0.904476i
\(215\) 352.627 463.873i 1.64013 2.15755i
\(216\) −8.70681 80.0578i −0.0403093 0.370638i
\(217\) −0.236885 0.0657709i −0.00109164 0.000303092i
\(218\) 233.933 345.026i 1.07309 1.58269i
\(219\) −121.589 202.083i −0.555201 0.922752i
\(220\) −433.423 + 23.4995i −1.97010 + 0.106816i
\(221\) 3.58660 + 3.78633i 0.0162290 + 0.0171327i
\(222\) −159.818 + 121.491i −0.719902 + 0.547255i
\(223\) −328.545 + 72.3182i −1.47330 + 0.324297i −0.877787 0.479051i \(-0.840981\pi\)
−0.595510 + 0.803348i \(0.703050\pi\)
\(224\) 2.95451 2.50958i 0.0131898 0.0112035i
\(225\) 9.16293 169.000i 0.0407241 0.751112i
\(226\) 141.604 + 267.093i 0.626564 + 1.18183i
\(227\) 2.67527 12.1539i 0.0117853 0.0535413i −0.970361 0.241660i \(-0.922308\pi\)
0.982146 + 0.188119i \(0.0602391\pi\)
\(228\) 390.823 180.814i 1.71414 0.793045i
\(229\) 46.6856 77.5920i 0.203867 0.338830i −0.738009 0.674791i \(-0.764234\pi\)
0.941876 + 0.335962i \(0.109061\pi\)
\(230\) −434.083 + 818.767i −1.88732 + 3.55986i
\(231\) 2.47032 + 2.09831i 0.0106940 + 0.00908360i
\(232\) −407.935 + 430.652i −1.75834 + 1.85626i
\(233\) −27.0766 + 248.966i −0.116209 + 1.06852i 0.780272 + 0.625440i \(0.215080\pi\)
−0.896481 + 0.443082i \(0.853885\pi\)
\(234\) −0.751058 + 1.88501i −0.00320965 + 0.00805562i
\(235\) 192.339i 0.818464i
\(236\) −489.724 76.4608i −2.07510 0.323986i
\(237\) −102.723 −0.433430
\(238\) −29.0293 11.5663i −0.121972 0.0485980i
\(239\) −54.8238 5.96245i −0.229388 0.0249475i −0.00729709 0.999973i \(-0.502323\pi\)
−0.222091 + 0.975026i \(0.571288\pi\)
\(240\) 237.955 + 225.403i 0.991481 + 0.939181i
\(241\) 205.234 241.620i 0.851595 1.00257i −0.148313 0.988941i \(-0.547384\pi\)
0.999907 0.0136340i \(-0.00433998\pi\)
\(242\) −274.449 145.504i −1.13409 0.601255i
\(243\) −13.3571 8.03669i −0.0549674 0.0330728i
\(244\) −243.148 525.556i −0.996508 2.15392i
\(245\) 430.853 + 94.8380i 1.75859 + 0.387094i
\(246\) 34.7010 18.3973i 0.141061 0.0747858i
\(247\) −5.67586 0.307736i −0.0229792 0.00124590i
\(248\) 7.54782 + 8.88598i 0.0304348 + 0.0358306i
\(249\) 1.67196 + 7.59577i 0.00671468 + 0.0305051i
\(250\) 604.110 + 794.693i 2.41644 + 3.17877i
\(251\) −129.415 + 122.588i −0.515598 + 0.488400i −0.900681 0.434482i \(-0.856932\pi\)
0.385083 + 0.922882i \(0.374173\pi\)
\(252\) −0.445903 8.22419i −0.00176946 0.0326357i
\(253\) 143.100 86.1002i 0.565611 0.340317i
\(254\) −252.542 171.228i −0.994260 0.674125i
\(255\) 113.530 408.897i 0.445214 1.60352i
\(256\) 517.859 56.3206i 2.02289 0.220002i
\(257\) −20.6864 15.7254i −0.0804919 0.0611883i 0.564154 0.825669i \(-0.309202\pi\)
−0.644646 + 0.764481i \(0.722995\pi\)
\(258\) 357.480 + 165.388i 1.38558 + 0.641038i
\(259\) −8.90271 + 6.03619i −0.0343734 + 0.0233057i
\(260\) −4.64886 13.7973i −0.0178802 0.0530666i
\(261\) 18.5767 + 113.313i 0.0711751 + 0.434149i
\(262\) 97.2304 593.079i 0.371109 2.26366i
\(263\) 115.651 + 38.9675i 0.439739 + 0.148165i 0.530458 0.847711i \(-0.322020\pi\)
−0.0907188 + 0.995877i \(0.528916\pi\)
\(264\) −41.1217 148.107i −0.155764 0.561011i
\(265\) 173.126 + 434.513i 0.653304 + 1.63967i
\(266\) 31.6389 12.6061i 0.118943 0.0473913i
\(267\) −159.688 + 44.3371i −0.598082 + 0.166057i
\(268\) −138.403 + 410.765i −0.516428 + 1.53270i
\(269\) 21.0414 + 3.44955i 0.0782206 + 0.0128236i 0.200765 0.979639i \(-0.435657\pi\)
−0.122545 + 0.992463i \(0.539105\pi\)
\(270\) 162.932 26.7113i 0.603451 0.0989307i
\(271\) 313.241 105.543i 1.15587 0.389458i 0.324886 0.945753i \(-0.394674\pi\)
0.830985 + 0.556295i \(0.187778\pi\)
\(272\) 319.578 + 471.343i 1.17492 + 1.73288i
\(273\) −0.0456496 + 0.0986699i −0.000167215 + 0.000361428i
\(274\) −484.428 + 637.254i −1.76799 + 2.32575i
\(275\) −34.9277 321.155i −0.127010 1.16784i
\(276\) −408.911 113.534i −1.48156 0.411354i
\(277\) 19.6167 28.9325i 0.0708184 0.104449i −0.790631 0.612294i \(-0.790247\pi\)
0.861449 + 0.507844i \(0.169557\pi\)
\(278\) −299.512 497.793i −1.07738 1.79062i
\(279\) 2.25355 0.122184i 0.00807724 0.000437935i
\(280\) 31.4275 + 33.1776i 0.112241 + 0.118491i
\(281\) −402.317 + 305.834i −1.43173 + 1.08838i −0.451112 + 0.892467i \(0.648973\pi\)
−0.980622 + 0.195909i \(0.937234\pi\)
\(282\) −126.977 + 27.9498i −0.450275 + 0.0991129i
\(283\) −250.622 + 212.880i −0.885589 + 0.752226i −0.969718 0.244228i \(-0.921465\pi\)
0.0841282 + 0.996455i \(0.473189\pi\)
\(284\) −10.4448 + 192.643i −0.0367774 + 0.678319i
\(285\) 216.645 + 408.636i 0.760158 + 1.43381i
\(286\) −0.832592 + 3.78251i −0.00291116 + 0.0132255i
\(287\) 1.90987 0.883602i 0.00665461 0.00307875i
\(288\) −18.3465 + 30.4921i −0.0637031 + 0.105875i
\(289\) 209.990 396.083i 0.726609 1.37053i
\(290\) −926.931 787.342i −3.19631 2.71497i
\(291\) 73.8915 78.0063i 0.253923 0.268063i
\(292\) −123.678 + 1137.20i −0.423553 + 3.89451i
\(293\) 108.427 272.132i 0.370059 0.928778i −0.619545 0.784961i \(-0.712683\pi\)
0.989604 0.143817i \(-0.0459377\pi\)
\(294\) 298.220i 1.01435i
\(295\) 53.5261 529.665i 0.181444 1.79547i
\(296\) 510.093 1.72329
\(297\) −27.6409 11.0131i −0.0930669 0.0370813i
\(298\) 210.041 + 22.8433i 0.704835 + 0.0766555i
\(299\) 4.06687 + 3.85234i 0.0136016 + 0.0128841i
\(300\) −531.443 + 625.663i −1.77148 + 2.08554i
\(301\) 18.6455 + 9.88520i 0.0619451 + 0.0328412i
\(302\) −467.159 281.080i −1.54688 0.930729i
\(303\) 62.7437 + 135.618i 0.207075 + 0.447585i
\(304\) −606.150 133.424i −1.99391 0.438894i
\(305\) 549.509 291.331i 1.80167 0.955185i
\(306\) 286.441 + 15.5304i 0.936082 + 0.0507529i
\(307\) 59.7530 + 70.3467i 0.194635 + 0.229142i 0.850819 0.525459i \(-0.176106\pi\)
−0.656184 + 0.754601i \(0.727830\pi\)
\(308\) −3.37951 15.3533i −0.0109724 0.0498482i
\(309\) 144.529 + 190.124i 0.467730 + 0.615288i
\(310\) −17.3540 + 16.4386i −0.0559807 + 0.0530277i
\(311\) −2.86536 52.8484i −0.00921337 0.169931i −0.999519 0.0310227i \(-0.990124\pi\)
0.990305 0.138908i \(-0.0443592\pi\)
\(312\) 4.41779 2.65810i 0.0141596 0.00851954i
\(313\) −338.469 229.488i −1.08137 0.733187i −0.115785 0.993274i \(-0.536938\pi\)
−0.965585 + 0.260087i \(0.916249\pi\)
\(314\) −68.1576 + 245.481i −0.217062 + 0.781788i
\(315\) 8.79435 0.956443i 0.0279186 0.00303633i
\(316\) 396.643 + 301.520i 1.25520 + 0.954178i
\(317\) 220.200 + 101.875i 0.694638 + 0.321374i 0.735245 0.677801i \(-0.237067\pi\)
−0.0406071 + 0.999175i \(0.512929\pi\)
\(318\) −261.696 + 177.435i −0.822945 + 0.557970i
\(319\) 69.9815 + 207.698i 0.219378 + 0.651090i
\(320\) 61.4815 + 375.021i 0.192130 + 1.17194i
\(321\) 16.9704 103.515i 0.0528672 0.322475i
\(322\) −31.8070 10.7170i −0.0987795 0.0332827i
\(323\) 214.982 + 774.295i 0.665578 + 2.39720i
\(324\) 27.9856 + 70.2387i 0.0863754 + 0.216786i
\(325\) 10.0663 4.01077i 0.0309732 0.0123408i
\(326\) 722.162 200.507i 2.21522 0.615053i
\(327\) −65.4664 + 194.297i −0.200203 + 0.594181i
\(328\) −98.4821 16.1453i −0.300250 0.0492235i
\(329\) −6.87438 + 1.12700i −0.0208948 + 0.00342553i
\(330\) 298.647 100.626i 0.904991 0.304927i
\(331\) −83.6745 123.411i −0.252793 0.372842i 0.680025 0.733189i \(-0.261969\pi\)
−0.932818 + 0.360347i \(0.882658\pi\)
\(332\) 15.8398 34.2371i 0.0477101 0.103124i
\(333\) 59.7552 78.6067i 0.179445 0.236056i
\(334\) −46.5463 427.986i −0.139360 1.28140i
\(335\) −448.584 124.549i −1.33906 0.371788i
\(336\) −6.66185 + 9.82549i −0.0198269 + 0.0292425i
\(337\) 36.0352 + 59.8910i 0.106929 + 0.177718i 0.905702 0.423915i \(-0.139345\pi\)
−0.798773 + 0.601633i \(0.794517\pi\)
\(338\) 594.131 32.2128i 1.75778 0.0953043i
\(339\) −102.254 107.948i −0.301635 0.318432i
\(340\) −1638.60 + 1245.63i −4.81940 + 3.66361i
\(341\) 4.20702 0.926034i 0.0123373 0.00271564i
\(342\) −238.289 + 202.405i −0.696752 + 0.591827i
\(343\) −1.73198 + 31.9445i −0.00504950 + 0.0931326i
\(344\) −468.792 884.235i −1.36277 2.57045i
\(345\) 97.9850 445.150i 0.284015 1.29029i
\(346\) 894.399 413.793i 2.58497 1.19593i
\(347\) −166.853 + 277.311i −0.480843 + 0.799168i −0.998404 0.0564787i \(-0.982013\pi\)
0.517560 + 0.855647i \(0.326840\pi\)
\(348\) 260.874 492.061i 0.749639 1.41397i
\(349\) −345.662 293.608i −0.990435 0.841283i −0.00310985 0.999995i \(-0.500990\pi\)
−0.987325 + 0.158712i \(0.949266\pi\)
\(350\) −44.6488 + 47.1352i −0.127568 + 0.134672i
\(351\) 0.107906 0.992178i 0.000307424 0.00282672i
\(352\) −25.1412 + 63.0997i −0.0714239 + 0.179261i
\(353\) 102.729i 0.291018i −0.989357 0.145509i \(-0.953518\pi\)
0.989357 0.145509i \(-0.0464819\pi\)
\(354\) 357.449 41.6318i 1.00974 0.117604i
\(355\) −207.212 −0.583697
\(356\) 746.743 + 297.529i 2.09759 + 0.835757i
\(357\) 15.2796 + 1.66175i 0.0428000 + 0.00465478i
\(358\) −215.172 203.821i −0.601038 0.569333i
\(359\) −89.0156 + 104.797i −0.247954 + 0.291914i −0.872033 0.489447i \(-0.837199\pi\)
0.624079 + 0.781361i \(0.285474\pi\)
\(360\) −370.650 196.506i −1.02958 0.545851i
\(361\) −441.130 265.419i −1.22197 0.735233i
\(362\) 335.830 + 725.885i 0.927707 + 2.00521i
\(363\) 149.214 + 32.8444i 0.411057 + 0.0904804i
\(364\) 0.465890 0.246999i 0.00127992 0.000678569i
\(365\) −1226.81 66.5158i −3.36113 0.182235i
\(366\) 272.182 + 320.437i 0.743666 + 0.875511i
\(367\) 20.2321 + 91.9154i 0.0551283 + 0.250451i 0.996123 0.0879706i \(-0.0280382\pi\)
−0.940995 + 0.338421i \(0.890107\pi\)
\(368\) 370.162 + 486.939i 1.00587 + 1.32320i
\(369\) −14.0248 + 13.2850i −0.0380076 + 0.0360027i
\(370\) 56.6196 + 1044.29i 0.153026 + 2.82240i
\(371\) −14.5155 + 8.73367i −0.0391253 + 0.0235409i
\(372\) −9.06024 6.14300i −0.0243555 0.0165134i
\(373\) −133.923 + 482.349i −0.359044 + 1.29316i 0.534875 + 0.844931i \(0.320359\pi\)
−0.893919 + 0.448229i \(0.852055\pi\)
\(374\) 544.331 59.1996i 1.45543 0.158288i
\(375\) −390.870 297.132i −1.04232 0.792352i
\(376\) 299.827 + 138.715i 0.797411 + 0.368922i
\(377\) −6.08479 + 4.12559i −0.0161400 + 0.0109432i
\(378\) 1.90937 + 5.66682i 0.00505125 + 0.0149916i
\(379\) 121.880 + 743.436i 0.321583 + 1.96157i 0.269811 + 0.962913i \(0.413039\pi\)
0.0517722 + 0.998659i \(0.483513\pi\)
\(380\) 362.930 2213.77i 0.955078 5.82572i
\(381\) 142.216 + 47.9182i 0.373271 + 0.125770i
\(382\) −218.111 785.566i −0.570972 2.05646i
\(383\) 253.826 + 637.054i 0.662730 + 1.66333i 0.745290 + 0.666741i \(0.232311\pi\)
−0.0825600 + 0.996586i \(0.526310\pi\)
\(384\) −314.990 + 125.504i −0.820287 + 0.326832i
\(385\) 16.2695 4.51721i 0.0422585 0.0117330i
\(386\) −29.0729 + 86.2853i −0.0753184 + 0.223537i
\(387\) −191.180 31.3424i −0.494005 0.0809880i
\(388\) −514.286 + 84.3130i −1.32548 + 0.217301i
\(389\) 589.468 198.615i 1.51534 0.510578i 0.565887 0.824483i \(-0.308534\pi\)
0.949454 + 0.313905i \(0.101637\pi\)
\(390\) 5.93215 + 8.74927i 0.0152106 + 0.0224340i
\(391\) 332.524 718.739i 0.850446 1.83821i
\(392\) 458.568 603.236i 1.16982 1.53887i
\(393\) 31.9600 + 293.868i 0.0813232 + 0.747755i
\(394\) −183.194 50.8635i −0.464959 0.129095i
\(395\) −300.310 + 442.924i −0.760279 + 1.12133i
\(396\) 74.4028 + 123.658i 0.187886 + 0.312269i
\(397\) −779.263 + 42.2504i −1.96288 + 0.106424i −0.991414 0.130762i \(-0.958258\pi\)
−0.971464 + 0.237186i \(0.923775\pi\)
\(398\) 442.613 + 467.261i 1.11209 + 1.17402i
\(399\) −13.3356 + 10.1375i −0.0334226 + 0.0254072i
\(400\) 1155.51 254.348i 2.88878 0.635869i
\(401\) 4.92649 4.18460i 0.0122855 0.0104354i −0.641223 0.767355i \(-0.721572\pi\)
0.653508 + 0.756920i \(0.273297\pi\)
\(402\) 17.0378 314.243i 0.0423825 0.781699i
\(403\) 0.0676813 + 0.127661i 0.000167944 + 0.000316776i
\(404\) 155.805 707.831i 0.385657 1.75206i
\(405\) −73.7022 + 34.0983i −0.181981 + 0.0841933i
\(406\) 22.7091 37.7428i 0.0559337 0.0929625i
\(407\) 88.2804 166.514i 0.216905 0.409126i
\(408\) −555.529 471.871i −1.36159 1.15655i
\(409\) −70.2721 + 74.1854i −0.171814 + 0.181382i −0.806216 0.591621i \(-0.798488\pi\)
0.634401 + 0.773004i \(0.281247\pi\)
\(410\) 22.1221 203.409i 0.0539564 0.496120i
\(411\) 145.729 365.752i 0.354572 0.889908i
\(412\) 1158.35i 2.81154i
\(413\) 19.2443 1.19046i 0.0465965 0.00288247i
\(414\) 308.116 0.744241
\(415\) 37.6396 + 14.9970i 0.0906979 + 0.0361374i
\(416\) −2.26498 0.246332i −0.00544467 0.000592144i
\(417\) 207.447 + 196.504i 0.497475 + 0.471234i
\(418\) −386.335 + 454.829i −0.924247 + 1.08811i
\(419\) −55.9370 29.6559i −0.133501 0.0707778i 0.400319 0.916376i \(-0.368899\pi\)
−0.533820 + 0.845598i \(0.679244\pi\)
\(420\) −36.7649 22.1207i −0.0875356 0.0526684i
\(421\) −183.026 395.603i −0.434740 0.939675i −0.993866 0.110592i \(-0.964725\pi\)
0.559126 0.829083i \(-0.311137\pi\)
\(422\) −107.234 23.6039i −0.254108 0.0559335i
\(423\) 56.4997 29.9542i 0.133569 0.0708138i
\(424\) 802.195 + 43.4937i 1.89197 + 0.102580i
\(425\) −991.723 1167.55i −2.33347 2.74717i
\(426\) −30.1112 136.796i −0.0706835 0.321118i
\(427\) 13.6323 + 17.9329i 0.0319257 + 0.0419975i
\(428\) −369.371 + 349.887i −0.863017 + 0.817493i
\(429\) −0.103133 1.90217i −0.000240402 0.00443396i
\(430\) 1758.21 1057.88i 4.08887 2.46019i
\(431\) −290.767 197.145i −0.674632 0.457412i 0.175153 0.984541i \(-0.443958\pi\)
−0.849785 + 0.527129i \(0.823268\pi\)
\(432\) 29.1540 105.003i 0.0674860 0.243063i
\(433\) 454.905 49.4739i 1.05059 0.114258i 0.433501 0.901153i \(-0.357278\pi\)
0.617088 + 0.786894i \(0.288312\pi\)
\(434\) −0.689216 0.523928i −0.00158805 0.00120721i
\(435\) 542.895 + 251.170i 1.24803 + 0.577402i
\(436\) 823.101 558.076i 1.88785 1.27999i
\(437\) 275.597 + 817.942i 0.630657 + 1.87172i
\(438\) −134.363 819.575i −0.306764 1.87118i
\(439\) −111.456 + 679.850i −0.253886 + 1.54863i 0.484825 + 0.874611i \(0.338883\pi\)
−0.738711 + 0.674022i \(0.764565\pi\)
\(440\) −758.831 255.680i −1.72462 0.581090i
\(441\) −39.2410 141.333i −0.0889817 0.320483i
\(442\) 6.79792 + 17.0615i 0.0153799 + 0.0386007i
\(443\) −699.549 + 278.726i −1.57912 + 0.629177i −0.984587 0.174896i \(-0.944041\pi\)
−0.594530 + 0.804074i \(0.702662\pi\)
\(444\) −461.464 + 128.125i −1.03933 + 0.288570i
\(445\) −275.672 + 818.167i −0.619489 + 1.83858i
\(446\) −1169.06 191.658i −2.62122 0.429727i
\(447\) −102.549 + 16.8120i −0.229416 + 0.0376108i
\(448\) −13.0433 + 4.39481i −0.0291146 + 0.00980985i
\(449\) 130.442 + 192.387i 0.290516 + 0.428479i 0.944739 0.327822i \(-0.106315\pi\)
−0.654223 + 0.756301i \(0.727004\pi\)
\(450\) 250.257 540.922i 0.556128 1.20205i
\(451\) −22.3145 + 29.3542i −0.0494778 + 0.0650869i
\(452\) 77.9745 + 716.964i 0.172510 + 1.58620i
\(453\) 258.383 + 71.7396i 0.570381 + 0.158365i
\(454\) 24.5937 36.2730i 0.0541712 0.0798966i
\(455\) 0.291992 + 0.485294i 0.000641740 + 0.00106658i
\(456\) 793.244 43.0084i 1.73957 0.0943167i
\(457\) −170.509 180.004i −0.373104 0.393881i 0.512221 0.858854i \(-0.328823\pi\)
−0.885325 + 0.464973i \(0.846064\pi\)
\(458\) 253.863 192.982i 0.554287 0.421358i
\(459\) −137.794 + 30.3308i −0.300206 + 0.0660802i
\(460\) −1684.99 + 1431.24i −3.66302 + 3.11139i
\(461\) −11.5971 + 213.896i −0.0251564 + 0.463982i 0.958632 + 0.284649i \(0.0918769\pi\)
−0.983788 + 0.179334i \(0.942606\pi\)
\(462\) 5.34637 + 10.0843i 0.0115722 + 0.0218275i
\(463\) 113.321 514.821i 0.244753 1.11192i −0.680552 0.732700i \(-0.738260\pi\)
0.925305 0.379225i \(-0.123809\pi\)
\(464\) −728.527 + 337.053i −1.57010 + 0.726406i
\(465\) 6.06140 10.0741i 0.0130353 0.0216648i
\(466\) −413.090 + 779.171i −0.886460 + 1.67204i
\(467\) 142.976 + 121.445i 0.306159 + 0.260054i 0.787273 0.616604i \(-0.211492\pi\)
−0.481115 + 0.876658i \(0.659768\pi\)
\(468\) −3.32897 + 3.51435i −0.00711318 + 0.00750930i
\(469\) 1.82304 16.7626i 0.00388709 0.0357412i
\(470\) −250.703 + 629.217i −0.533410 + 1.33876i
\(471\) 125.308i 0.266046i
\(472\) −787.061 465.432i −1.66750 0.986084i
\(473\) −369.782 −0.781780
\(474\) −336.047 133.893i −0.708960 0.282476i
\(475\) 1659.81 + 180.515i 3.49434 + 0.380032i
\(476\) −54.1212 51.2663i −0.113700 0.107702i
\(477\) 100.676 118.525i 0.211061 0.248481i
\(478\) −171.578 90.9651i −0.358951 0.190304i
\(479\) 460.094 + 276.829i 0.960530 + 0.577932i 0.907225 0.420646i \(-0.138197\pi\)
0.0533057 + 0.998578i \(0.483024\pi\)
\(480\) 77.8409 + 168.250i 0.162169 + 0.350522i
\(481\) 6.17392 + 1.35898i 0.0128356 + 0.00282533i
\(482\) 986.340 522.924i 2.04635 1.08491i
\(483\) 16.4842 + 0.893749i 0.0341289 + 0.00185041i
\(484\) −479.749 564.805i −0.991218 1.16695i
\(485\) −120.329 546.659i −0.248100 1.12713i
\(486\) −33.2209 43.7013i −0.0683557 0.0899204i
\(487\) −218.103 + 206.599i −0.447851 + 0.424227i −0.878096 0.478485i \(-0.841186\pi\)
0.430244 + 0.902712i \(0.358427\pi\)
\(488\) −57.8351 1066.71i −0.118515 2.18587i
\(489\) −315.865 + 190.050i −0.645941 + 0.388650i
\(490\) 1285.87 + 871.845i 2.62423 + 1.77927i
\(491\) −175.443 + 631.889i −0.357318 + 1.28694i 0.538539 + 0.842600i \(0.318976\pi\)
−0.895857 + 0.444342i \(0.853437\pi\)
\(492\) 93.1489 10.1306i 0.189327 0.0205906i
\(493\) 827.379 + 628.957i 1.67825 + 1.27578i
\(494\) −18.1669 8.40488i −0.0367750 0.0170139i
\(495\) −128.295 + 86.9860i −0.259181 + 0.175729i
\(496\) 5.03767 + 14.9513i 0.0101566 + 0.0301437i
\(497\) −1.21415 7.40597i −0.00244295 0.0149014i
\(498\) −4.43102 + 27.0280i −0.00889763 + 0.0542732i
\(499\) −697.503 235.016i −1.39780 0.470974i −0.483263 0.875475i \(-0.660549\pi\)
−0.914537 + 0.404501i \(0.867445\pi\)
\(500\) 637.099 + 2294.62i 1.27420 + 4.58925i
\(501\) 78.3754 + 196.707i 0.156438 + 0.392630i
\(502\) −583.154 + 232.350i −1.16166 + 0.462848i
\(503\) −695.506 + 193.106i −1.38272 + 0.383909i −0.877704 0.479204i \(-0.840926\pi\)
−0.505011 + 0.863113i \(0.668512\pi\)
\(504\) 4.85152 14.3988i 0.00962603 0.0285690i
\(505\) 768.194 + 125.939i 1.52118 + 0.249384i
\(506\) 580.361 95.1454i 1.14696 0.188034i
\(507\) −277.333 + 93.4445i −0.547008 + 0.184309i
\(508\) −408.484 602.469i −0.804103 1.18596i
\(509\) −12.8390 + 27.7509i −0.0252239 + 0.0545205i −0.919778 0.392439i \(-0.871631\pi\)
0.894554 + 0.446960i \(0.147493\pi\)
\(510\) 904.373 1189.68i 1.77328 2.33271i
\(511\) −4.81108 44.2371i −0.00941503 0.0865697i
\(512\) 1013.02 + 281.263i 1.97855 + 0.549342i
\(513\) 86.2974 127.279i 0.168221 0.248108i
\(514\) −47.1762 78.4075i −0.0917825 0.152544i
\(515\) 1242.31 67.3562i 2.41225 0.130789i
\(516\) 646.202 + 682.188i 1.25233 + 1.32207i
\(517\) 97.1720 73.8683i 0.187954 0.142879i
\(518\) −36.9921 + 8.14257i −0.0714132 + 0.0157192i
\(519\) −369.427 + 313.794i −0.711806 + 0.604614i
\(520\) 1.45412 26.8197i 0.00279639 0.0515763i
\(521\) −172.016 324.456i −0.330165 0.622757i 0.661741 0.749733i \(-0.269818\pi\)
−0.991906 + 0.126975i \(0.959473\pi\)
\(522\) −86.9250 + 394.904i −0.166523 + 0.756522i
\(523\) −74.2638 + 34.3581i −0.141996 + 0.0656943i −0.489600 0.871947i \(-0.662857\pi\)
0.347604 + 0.937641i \(0.386995\pi\)
\(524\) 739.175 1228.52i 1.41064 2.34450i
\(525\) 14.9579 28.2135i 0.0284911 0.0537400i
\(526\) 327.549 + 278.223i 0.622717 + 0.528941i
\(527\) 14.0477 14.8300i 0.0266560 0.0281404i
\(528\) 22.4892 206.785i 0.0425931 0.391638i
\(529\) 119.040 298.767i 0.225028 0.564778i
\(530\) 1647.12i 3.10777i
\(531\) −163.925 + 66.7648i −0.308710 + 0.125734i
\(532\) 81.2489 0.152724
\(533\) −1.14897 0.457790i −0.00215566 0.000858893i
\(534\) −580.192 63.0997i −1.08650 0.118164i
\(535\) −396.725 375.798i −0.741542 0.702426i
\(536\) −517.670 + 609.448i −0.965803 + 1.13703i
\(537\) 128.794 + 68.2824i 0.239840 + 0.127155i
\(538\) 64.3382 + 38.7110i 0.119588 + 0.0719536i
\(539\) −117.557 254.095i −0.218102 0.471419i
\(540\) 384.673 + 84.6730i 0.712358 + 0.156802i
\(541\) −67.9470 + 36.0232i −0.125595 + 0.0665864i −0.530021 0.847984i \(-0.677816\pi\)
0.404426 + 0.914571i \(0.367471\pi\)
\(542\) 1162.30 + 63.0182i 2.14447 + 0.116270i
\(543\) −254.672 299.823i −0.469009 0.552160i
\(544\) 69.2405 + 314.563i 0.127280 + 0.578240i
\(545\) 646.387 + 850.307i 1.18603 + 1.56020i
\(546\) −0.277948 + 0.263286i −0.000509062 + 0.000482210i
\(547\) −35.4575 653.975i −0.0648217 1.19557i −0.832238 0.554418i \(-0.812941\pi\)
0.767417 0.641149i \(-0.221542\pi\)
\(548\) −1636.28 + 984.519i −2.98592 + 1.79657i
\(549\) −171.157 116.048i −0.311762 0.211380i
\(550\) 304.345 1096.15i 0.553354 1.99300i
\(551\) −1126.09 + 122.469i −2.04372 + 0.222268i
\(552\) −623.253 473.785i −1.12908 0.858306i
\(553\) −17.5902 8.13809i −0.0318086 0.0147162i
\(554\) 101.886 69.0802i 0.183909 0.124693i
\(555\) −164.245 487.461i −0.295936 0.878308i
\(556\) −224.219 1367.67i −0.403271 2.45985i
\(557\) 57.4067 350.166i 0.103064 0.628664i −0.883894 0.467687i \(-0.845087\pi\)
0.986958 0.160976i \(-0.0514643\pi\)
\(558\) 7.53150 + 2.53766i 0.0134973 + 0.00454777i
\(559\) −3.31827 11.9513i −0.00593608 0.0213798i
\(560\) 22.8900 + 57.4495i 0.0408750 + 0.102588i
\(561\) −250.181 + 99.6812i −0.445955 + 0.177685i
\(562\) −1714.77 + 476.105i −3.05120 + 0.847161i
\(563\) 208.639 619.218i 0.370584 1.09985i −0.586477 0.809966i \(-0.699485\pi\)
0.957061 0.289888i \(-0.0936180\pi\)
\(564\) −306.086 50.1802i −0.542705 0.0889719i
\(565\) −764.395 + 125.316i −1.35291 + 0.221799i
\(566\) −1097.36 + 369.743i −1.93880 + 0.653257i
\(567\) −1.65056 2.43439i −0.00291104 0.00429346i
\(568\) −149.441 + 323.012i −0.263101 + 0.568683i
\(569\) −524.327 + 689.741i −0.921489 + 1.21220i 0.0554024 + 0.998464i \(0.482356\pi\)
−0.976892 + 0.213734i \(0.931437\pi\)
\(570\) 176.098 + 1619.19i 0.308944 + 2.84069i
\(571\) 600.261 + 166.662i 1.05125 + 0.291877i 0.749840 0.661619i \(-0.230130\pi\)
0.301406 + 0.953496i \(0.402544\pi\)
\(572\) −5.18517 + 7.64755i −0.00906498 + 0.0133698i
\(573\) 206.736 + 343.598i 0.360795 + 0.599647i
\(574\) 7.39967 0.401198i 0.0128914 0.000698952i
\(575\) −1131.53 1194.54i −1.96788 2.07747i
\(576\) 100.588 76.4647i 0.174631 0.132751i
\(577\) 727.458 160.126i 1.26076 0.277514i 0.466188 0.884686i \(-0.345627\pi\)
0.794571 + 0.607172i \(0.207696\pi\)
\(578\) 1203.23 1022.03i 2.08171 1.76822i
\(579\) 2.42454 44.7181i 0.00418747 0.0772333i
\(580\) −1359.02 2563.38i −2.34314 4.41963i
\(581\) −0.315460 + 1.43315i −0.000542961 + 0.00246670i
\(582\) 343.405 158.876i 0.590043 0.272983i
\(583\) 153.032 254.341i 0.262490 0.436262i
\(584\) −988.461 + 1864.44i −1.69257 + 3.19253i
\(585\) −3.96264 3.36590i −0.00677375 0.00575367i
\(586\) 709.416 748.922i 1.21061 1.27802i
\(587\) 14.2180 130.733i 0.0242215 0.222713i −0.975771 0.218795i \(-0.929787\pi\)
0.999992 0.00391793i \(-0.00124712\pi\)
\(588\) −263.331 + 660.911i −0.447842 + 1.12400i
\(589\) 22.2634i 0.0377986i
\(590\) 865.492 1662.97i 1.46693 2.81860i
\(591\) 93.5125 0.158228
\(592\) 641.247 + 255.496i 1.08319 + 0.431581i
\(593\) 446.100 + 48.5163i 0.752277 + 0.0818150i 0.476220 0.879326i \(-0.342007\pi\)
0.276057 + 0.961141i \(0.410972\pi\)
\(594\) −76.0691 72.0565i −0.128063 0.121307i
\(595\) 51.8350 61.0249i 0.0871176 0.102563i
\(596\) 445.319 + 236.093i 0.747179 + 0.396129i
\(597\) −271.248 163.205i −0.454352 0.273375i
\(598\) 8.28301 + 17.9034i 0.0138512 + 0.0299389i
\(599\) −345.918 76.1422i −0.577492 0.127116i −0.0833860 0.996517i \(-0.526573\pi\)
−0.494106 + 0.869402i \(0.664504\pi\)
\(600\) −1337.99 + 709.355i −2.22998 + 1.18226i
\(601\) −211.932 11.4906i −0.352633 0.0191192i −0.123028 0.992403i \(-0.539261\pi\)
−0.229605 + 0.973284i \(0.573743\pi\)
\(602\) 48.1119 + 56.6417i 0.0799200 + 0.0940891i
\(603\) 33.2747 + 151.169i 0.0551820 + 0.250694i
\(604\) −787.114 1035.43i −1.30317 1.71429i
\(605\) 577.845 547.364i 0.955115 0.904733i
\(606\) 28.4887 + 525.443i 0.0470111 + 0.867068i
\(607\) −246.583 + 148.364i −0.406233 + 0.244422i −0.703976 0.710224i \(-0.748594\pi\)
0.297743 + 0.954646i \(0.403766\pi\)
\(608\) −290.558 197.003i −0.477892 0.324019i
\(609\) −5.79600 + 20.8753i −0.00951724 + 0.0342780i
\(610\) 2177.39 236.806i 3.56950 0.388206i
\(611\) 3.25940 + 2.47773i 0.00533453 + 0.00405520i
\(612\) 621.093 + 287.348i 1.01486 + 0.469523i
\(613\) 388.030 263.091i 0.633002 0.429186i −0.202036 0.979378i \(-0.564756\pi\)
0.835038 + 0.550192i \(0.185446\pi\)
\(614\) 103.783 + 308.016i 0.169027 + 0.501655i
\(615\) 16.2812 + 99.3112i 0.0264736 + 0.161482i
\(616\) 4.69192 28.6195i 0.00761676 0.0464602i
\(617\) 218.245 + 73.5352i 0.353719 + 0.119182i 0.490551 0.871412i \(-0.336795\pi\)
−0.136832 + 0.990594i \(0.543692\pi\)
\(618\) 224.994 + 810.354i 0.364068 + 1.31125i
\(619\) −236.986 594.790i −0.382853 0.960888i −0.986518 0.163650i \(-0.947673\pi\)
0.603666 0.797238i \(-0.293706\pi\)
\(620\) −52.9751 + 21.1072i −0.0854438 + 0.0340439i
\(621\) −146.023 + 40.5431i −0.235142 + 0.0652868i
\(622\) 59.5111 176.623i 0.0956770 0.283959i
\(623\) −30.8573 5.05880i −0.0495302 0.00812007i
\(624\) 6.88507 1.12875i 0.0110338 0.00180889i
\(625\) −1087.32 + 366.359i −1.73971 + 0.586175i
\(626\) −808.141 1191.92i −1.29096 1.90402i
\(627\) 123.245 266.389i 0.196563 0.424863i
\(628\) −367.812 + 483.849i −0.585688 + 0.770460i
\(629\) −96.6274 888.474i −0.153621 1.41252i
\(630\) 30.0164 + 8.33402i 0.0476451 + 0.0132286i
\(631\) −204.605 + 301.770i −0.324255 + 0.478241i −0.954523 0.298137i \(-0.903635\pi\)
0.630268 + 0.776378i \(0.282945\pi\)
\(632\) 473.867 + 787.573i 0.749789 + 1.24616i
\(633\) 53.9264 2.92380i 0.0851917 0.00461896i
\(634\) 587.572 + 620.293i 0.926770 + 0.978379i
\(635\) 622.383 473.124i 0.980131 0.745076i
\(636\) −736.644 + 162.148i −1.15825 + 0.254949i
\(637\) 7.15743 6.07957i 0.0112361 0.00954407i
\(638\) −41.7849 + 770.677i −0.0654936 + 1.20796i
\(639\) 32.2706 + 60.8688i 0.0505017 + 0.0952563i
\(640\) −379.722 + 1725.09i −0.593316 + 2.69546i
\(641\) −8.81230 + 4.07701i −0.0137477 + 0.00636038i −0.426751 0.904369i \(-0.640342\pi\)
0.413003 + 0.910730i \(0.364480\pi\)
\(642\) 190.442 316.517i 0.296639 0.493017i
\(643\) −55.1123 + 103.953i −0.0857112 + 0.161668i −0.922662 0.385610i \(-0.873991\pi\)
0.836951 + 0.547278i \(0.184336\pi\)
\(644\) −61.0270 51.8368i −0.0947624 0.0804919i
\(645\) −694.057 + 732.707i −1.07606 + 1.13598i
\(646\) −305.958 + 2813.24i −0.473619 + 4.35486i
\(647\) −5.47621 + 13.7442i −0.00846400 + 0.0212430i −0.933148 0.359492i \(-0.882950\pi\)
0.924684 + 0.380735i \(0.124329\pi\)
\(648\) 139.482i 0.215250i
\(649\) −288.150 + 176.377i −0.443990 + 0.271767i
\(650\) 38.1586 0.0587055
\(651\) 0.395575 + 0.157612i 0.000607643 + 0.000242107i
\(652\) 1777.49 + 193.314i 2.72622 + 0.296494i
\(653\) 429.573 + 406.913i 0.657845 + 0.623144i 0.941992 0.335637i \(-0.108951\pi\)
−0.284146 + 0.958781i \(0.591710\pi\)
\(654\) −467.421 + 550.291i −0.714712 + 0.841423i
\(655\) 1360.54 + 721.314i 2.07716 + 1.10124i
\(656\) −115.717 69.6244i −0.176397 0.106135i
\(657\) 171.520 + 370.735i 0.261066 + 0.564285i
\(658\) −23.9578 5.27351i −0.0364100 0.00801445i
\(659\) 305.257 161.837i 0.463213 0.245580i −0.220421 0.975405i \(-0.570743\pi\)
0.683634 + 0.729825i \(0.260398\pi\)
\(660\) 750.711 + 40.7023i 1.13744 + 0.0616702i
\(661\) −293.012 344.961i −0.443286 0.521877i 0.494459 0.869201i \(-0.335366\pi\)
−0.937745 + 0.347324i \(0.887090\pi\)
\(662\) −112.874 512.790i −0.170504 0.774607i
\(663\) −5.46671 7.19133i −0.00824541 0.0108466i
\(664\) 50.5236 47.8585i 0.0760898 0.0720760i
\(665\) 4.72448 + 87.1378i 0.00710447 + 0.131034i
\(666\) 297.942 179.266i 0.447360 0.269168i
\(667\) 923.952 + 626.455i 1.38524 + 0.939213i
\(668\) 274.760 989.597i 0.411318 1.48143i
\(669\) 579.264 62.9987i 0.865865 0.0941685i
\(670\) −1305.15 992.151i −1.94799 1.48082i
\(671\) −358.224 165.732i −0.533866 0.246993i
\(672\) −5.55733 + 3.76796i −0.00826983 + 0.00560708i
\(673\) 1.84674 + 5.48092i 0.00274404 + 0.00814402i 0.949016 0.315227i \(-0.102081\pi\)
−0.946272 + 0.323371i \(0.895184\pi\)
\(674\) 39.8209 + 242.897i 0.0590814 + 0.360381i
\(675\) −47.4259 + 289.285i −0.0702606 + 0.428571i
\(676\) 1345.15 + 453.233i 1.98986 + 0.670463i
\(677\) 79.7968 + 287.402i 0.117868 + 0.424523i 0.998814 0.0486948i \(-0.0155062\pi\)
−0.880946 + 0.473218i \(0.843092\pi\)
\(678\) −193.809 486.424i −0.285854 0.717439i
\(679\) 18.8331 7.50377i 0.0277365 0.0110512i
\(680\) −3658.71 + 1015.84i −5.38046 + 1.49388i
\(681\) −6.88257 + 20.4267i −0.0101066 + 0.0299952i
\(682\) 14.9698 + 2.45418i 0.0219499 + 0.00359850i
\(683\) −119.353 + 19.5669i −0.174748 + 0.0286485i −0.248521 0.968627i \(-0.579944\pi\)
0.0737725 + 0.997275i \(0.476496\pi\)
\(684\) −706.818 + 238.155i −1.03336 + 0.348180i
\(685\) −1151.02 1697.63i −1.68033 2.47830i
\(686\) −47.3037 + 102.245i −0.0689559 + 0.149046i
\(687\) −94.9182 + 124.863i −0.138163 + 0.181751i
\(688\) −146.429 1346.40i −0.212833 1.95697i
\(689\) 9.59351 + 2.66362i 0.0139238 + 0.00386593i
\(690\) 900.775 1328.54i 1.30547 1.92543i
\(691\) −45.0747 74.9148i −0.0652312 0.108415i 0.822525 0.568729i \(-0.192565\pi\)
−0.887756 + 0.460314i \(0.847737\pi\)
\(692\) 2347.54 127.280i 3.39240 0.183930i
\(693\) −3.86070 4.07569i −0.00557099 0.00588122i
\(694\) −907.299 + 689.711i −1.30735 + 0.993820i
\(695\) 1453.76 319.998i 2.09175 0.460428i
\(696\) 783.069 665.145i 1.12510 0.955668i
\(697\) −9.46618 + 174.593i −0.0135813 + 0.250493i
\(698\) −748.094 1411.06i −1.07177 2.02157i
\(699\) 93.2464 423.623i 0.133400 0.606041i
\(700\) −140.571 + 65.0350i −0.200816 + 0.0929072i
\(701\) −246.423 + 409.558i −0.351531 + 0.584249i −0.981289 0.192543i \(-0.938327\pi\)
0.629758 + 0.776792i \(0.283154\pi\)
\(702\) 1.64625 3.10515i 0.00234508 0.00442329i
\(703\) 742.386 + 630.589i 1.05603 + 0.896997i
\(704\) 165.853 175.089i 0.235586 0.248706i
\(705\) 36.0189 331.188i 0.0510906 0.469771i
\(706\) 133.902 336.068i 0.189662 0.476016i
\(707\) 28.1939i 0.0398783i
\(708\) 828.935 + 223.367i 1.17081 + 0.315490i
\(709\) 892.293 1.25852 0.629261 0.777194i \(-0.283358\pi\)
0.629261 + 0.777194i \(0.283358\pi\)
\(710\) −677.873 270.089i −0.954751 0.380408i
\(711\) 176.878 + 19.2367i 0.248774 + 0.0270558i
\(712\) 1076.58 + 1019.79i 1.51205 + 1.43229i
\(713\) 14.2040 16.7223i 0.0199215 0.0234534i
\(714\) 47.8195 + 25.3523i 0.0669741 + 0.0355074i
\(715\) −8.50334 5.11629i −0.0118928 0.00715565i
\(716\) −296.884 641.704i −0.414643 0.896235i
\(717\) 93.2844 + 20.5334i 0.130104 + 0.0286380i
\(718\) −427.802 + 226.806i −0.595824 + 0.315886i
\(719\) 415.389 + 22.5217i 0.577732 + 0.0313237i 0.340690 0.940176i \(-0.389339\pi\)
0.237042 + 0.971499i \(0.423822\pi\)
\(720\) −367.524 432.683i −0.510450 0.600948i
\(721\) 9.68661 + 44.0067i 0.0134350 + 0.0610357i
\(722\) −1097.15 1443.28i −1.51960 1.99900i
\(723\) −398.640 + 377.612i −0.551369 + 0.522285i
\(724\) 103.299 + 1905.24i 0.142678 + 2.63154i
\(725\) 1850.24 1113.25i 2.55206 1.53552i
\(726\) 445.325 + 301.938i 0.613396 + 0.415893i
\(727\) 75.5333 272.046i 0.103897 0.374204i −0.893261 0.449538i \(-0.851589\pi\)
0.997158 + 0.0753342i \(0.0240024\pi\)
\(728\) 0.967082 0.105176i 0.00132841 0.000144473i
\(729\) 21.4945 + 16.3397i 0.0294849 + 0.0224139i
\(730\) −3926.68 1816.68i −5.37901 2.48860i
\(731\) −1451.35 + 984.038i −1.98543 + 1.34615i
\(732\) 320.256 + 950.487i 0.437509 + 1.29848i
\(733\) −24.7997 151.271i −0.0338331 0.206373i 0.964500 0.264082i \(-0.0850688\pi\)
−0.998333 + 0.0577088i \(0.981621\pi\)
\(734\) −53.6192 + 327.062i −0.0730506 + 0.445589i
\(735\) −724.125 243.986i −0.985205 0.331954i
\(736\) 92.5534 + 333.347i 0.125752 + 0.452917i
\(737\) 109.356 + 274.463i 0.148380 + 0.372406i
\(738\) −63.1968 + 25.1799i −0.0856325 + 0.0341191i
\(739\) −737.725 + 204.828i −0.998275 + 0.277170i −0.727973 0.685606i \(-0.759537\pi\)
−0.270302 + 0.962776i \(0.587123\pi\)
\(740\) −796.635 + 2364.33i −1.07653 + 3.19504i
\(741\) 9.71562 + 1.59280i 0.0131115 + 0.00214952i
\(742\) −58.8696 + 9.65118i −0.0793391 + 0.0130070i
\(743\) 852.972 287.400i 1.14801 0.386810i 0.319942 0.947437i \(-0.396337\pi\)
0.828068 + 0.560627i \(0.189440\pi\)
\(744\) −11.3325 16.7142i −0.0152319 0.0224653i
\(745\) −227.311 + 491.324i −0.305115 + 0.659495i
\(746\) −1066.83 + 1403.39i −1.43007 + 1.88122i
\(747\) −1.45649 13.3922i −0.00194979 0.0179280i
\(748\) 1258.61 + 349.452i 1.68264 + 0.467182i
\(749\) 11.1068 16.3813i 0.0148288 0.0218709i
\(750\) −891.396 1481.51i −1.18853 1.97535i
\(751\) −143.586 + 7.78499i −0.191193 + 0.0103662i −0.149487 0.988764i \(-0.547762\pi\)
−0.0417061 + 0.999130i \(0.513279\pi\)
\(752\) 307.438 + 324.558i 0.408827 + 0.431593i
\(753\) 245.796 186.850i 0.326423 0.248140i
\(754\) −25.2832 + 5.56525i −0.0335321 + 0.00738097i
\(755\) 1064.71 904.372i 1.41021 1.19784i
\(756\) −0.772326 + 14.2447i −0.00102160 + 0.0188422i
\(757\) 317.215 + 598.331i 0.419042 + 0.790398i 0.999718 0.0237370i \(-0.00755643\pi\)
−0.580676 + 0.814135i \(0.697212\pi\)
\(758\) −570.308 + 2590.93i −0.752385 + 3.41812i
\(759\) −262.527 + 121.458i −0.345885 + 0.160023i
\(760\) 2133.60 3546.07i 2.80737 4.66588i
\(761\) 97.7139 184.308i 0.128402 0.242192i −0.810973 0.585084i \(-0.801062\pi\)
0.939375 + 0.342892i \(0.111406\pi\)
\(762\) 402.786 + 342.130i 0.528591 + 0.448989i
\(763\) −26.6033 + 28.0848i −0.0348667 + 0.0368084i
\(764\) 210.287 1933.55i 0.275244 2.53083i
\(765\) −272.060 + 682.818i −0.355633 + 0.892573i
\(766\) 2414.90i 3.15261i
\(767\) −8.28622 7.73024i −0.0108034 0.0100785i
\(768\) −902.247 −1.17480
\(769\) −383.215 152.687i −0.498329 0.198553i 0.107411 0.994215i \(-0.465744\pi\)
−0.605741 + 0.795662i \(0.707123\pi\)
\(770\) 59.1119 + 6.42881i 0.0767688 + 0.00834910i
\(771\) 32.6750 + 30.9514i 0.0423801 + 0.0401445i
\(772\) −140.622 + 165.553i −0.182152 + 0.214446i
\(773\) −235.370 124.785i −0.304489 0.161430i 0.309157 0.951011i \(-0.399953\pi\)
−0.613646 + 0.789581i