Properties

Label 225.4.u.a.4.1
Level $225$
Weight $4$
Character 225.4
Analytic conductor $13.275$
Analytic rank $0$
Dimension $704$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 225 = 3^{2} \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 225.u (of order \(30\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(13.2754297513\)
Analytic rank: \(0\)
Dimension: \(704\)
Relative dimension: \(88\) over \(\Q(\zeta_{30})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label 4.1
Character \(\chi\) \(=\) 225.4
Dual form 225.4.u.a.169.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.13719 - 5.35004i) q^{2} +(-4.50950 + 2.58155i) q^{3} +(-20.0214 + 8.91409i) q^{4} +(2.25903 - 10.9497i) q^{5} +(18.9395 + 21.1903i) q^{6} +(24.9371 - 14.3974i) q^{7} +(44.7393 + 61.5784i) q^{8} +(13.6712 - 23.2830i) q^{9} +O(q^{10})\) \(q+(-1.13719 - 5.35004i) q^{2} +(-4.50950 + 2.58155i) q^{3} +(-20.0214 + 8.91409i) q^{4} +(2.25903 - 10.9497i) q^{5} +(18.9395 + 21.1903i) q^{6} +(24.9371 - 14.3974i) q^{7} +(44.7393 + 61.5784i) q^{8} +(13.6712 - 23.2830i) q^{9} +(-61.1505 + 0.366009i) q^{10} +(43.6921 - 9.28704i) q^{11} +(67.2743 - 91.8842i) q^{12} +(2.98869 - 14.0607i) q^{13} +(-105.385 - 117.042i) q^{14} +(18.0802 + 55.2097i) q^{15} +(161.252 - 179.088i) q^{16} +(34.9316 + 48.0793i) q^{17} +(-140.112 - 46.6645i) q^{18} +(98.4561 - 71.5326i) q^{19} +(52.3781 + 239.366i) q^{20} +(-75.2861 + 129.301i) q^{21} +(-99.3721 - 223.193i) q^{22} +(-34.7244 + 31.2660i) q^{23} +(-360.719 - 162.191i) q^{24} +(-114.794 - 49.4715i) q^{25} -78.6238 q^{26} +(-1.54435 + 140.288i) q^{27} +(-370.934 + 510.547i) q^{28} +(-12.6901 + 120.739i) q^{29} +(274.813 - 159.513i) q^{30} +(-14.3789 - 136.806i) q^{31} +(-614.162 - 354.587i) q^{32} +(-173.055 + 154.673i) q^{33} +(217.502 - 241.561i) q^{34} +(-101.315 - 305.579i) q^{35} +(-66.1702 + 588.024i) q^{36} +(-13.1630 + 4.27692i) q^{37} +(-494.665 - 445.398i) q^{38} +(22.8208 + 71.1221i) q^{39} +(775.334 - 350.777i) q^{40} +(307.965 + 65.4600i) q^{41} +(777.382 + 255.744i) q^{42} +(226.301 - 130.655i) q^{43} +(-791.990 + 575.414i) q^{44} +(-224.059 - 202.293i) q^{45} +(206.762 + 150.222i) q^{46} +(-285.686 - 30.0268i) q^{47} +(-264.841 + 1223.88i) q^{48} +(243.071 - 421.012i) q^{49} +(-134.133 + 670.409i) q^{50} +(-281.643 - 126.636i) q^{51} +(65.5004 + 308.155i) q^{52} +(279.804 - 385.117i) q^{53} +(752.300 - 151.271i) q^{54} +(-2.98908 - 499.397i) q^{55} +(2002.24 + 891.453i) q^{56} +(-259.324 + 576.745i) q^{57} +(660.388 - 69.4095i) q^{58} +(-265.860 - 56.5102i) q^{59} +(-854.134 - 944.205i) q^{60} +(-1.87377 + 0.398282i) q^{61} +(-715.566 + 232.501i) q^{62} +(5.70547 - 777.440i) q^{63} +(-602.884 + 1855.48i) q^{64} +(-147.209 - 64.4888i) q^{65} +(1024.30 + 749.957i) q^{66} +(-841.876 + 88.4847i) q^{67} +(-1127.96 - 651.229i) q^{68} +(75.8752 - 230.637i) q^{69} +(-1519.64 + 889.536i) q^{70} +(256.217 + 186.152i) q^{71} +(2045.37 - 199.812i) q^{72} +(-272.677 - 88.5981i) q^{73} +(37.8504 + 65.5589i) q^{74} +(645.375 - 73.2531i) q^{75} +(-1333.58 + 2309.83i) q^{76} +(955.843 - 860.645i) q^{77} +(354.554 - 202.971i) q^{78} +(7.68360 - 73.1046i) q^{79} +(-1596.70 - 2170.23i) q^{80} +(-355.195 - 636.614i) q^{81} -1722.07i q^{82} +(-345.137 + 775.191i) q^{83} +(354.728 - 3259.90i) q^{84} +(605.367 - 273.880i) q^{85} +(-956.356 - 1062.14i) q^{86} +(-254.466 - 577.232i) q^{87} +(2526.63 + 2274.99i) q^{88} +(145.585 - 448.064i) q^{89} +(-827.481 + 1428.77i) q^{90} +(-127.908 - 393.661i) q^{91} +(416.522 - 935.524i) q^{92} +(418.013 + 579.807i) q^{93} +(164.234 + 1562.58i) q^{94} +(-560.848 - 1239.66i) q^{95} +(3684.95 + 13.5214i) q^{96} +(-750.674 - 78.8990i) q^{97} +(-2528.85 - 821.673i) q^{98} +(381.095 - 1144.25i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 704 q - 5 q^{2} - 10 q^{3} - 347 q^{4} + 12 q^{5} + 10 q^{6} - 20 q^{8} - 38 q^{9} + O(q^{10}) \) \( 704 q - 5 q^{2} - 10 q^{3} - 347 q^{4} + 12 q^{5} + 10 q^{6} - 20 q^{8} - 38 q^{9} - 91 q^{11} + 150 q^{12} - 5 q^{13} + 61 q^{14} - 363 q^{15} + 1293 q^{16} - 20 q^{17} - 12 q^{19} + q^{20} - 135 q^{21} - 5 q^{22} - 5 q^{23} - 250 q^{24} + 284 q^{25} - 2496 q^{26} - 340 q^{27} - 660 q^{28} + 345 q^{29} + 56 q^{30} + 33 q^{31} + 790 q^{33} - 19 q^{34} - 736 q^{35} - 852 q^{36} - 20 q^{37} - 3015 q^{38} + 500 q^{39} - 49 q^{40} - 659 q^{41} - 1790 q^{42} - 1996 q^{44} - 1083 q^{45} + 20 q^{46} - 955 q^{47} - 6225 q^{48} + 14888 q^{49} - 563 q^{50} + 204 q^{51} - 45 q^{52} - 20 q^{53} - 17 q^{54} - 50 q^{55} - 590 q^{56} - 5 q^{58} + 915 q^{59} - 2153 q^{60} - 3 q^{61} + 4900 q^{62} + 2385 q^{63} + 9156 q^{64} + 456 q^{65} - 3514 q^{66} + 1525 q^{67} - 476 q^{69} + 1254 q^{70} + 2432 q^{71} - 5090 q^{72} - 20 q^{73} - 3830 q^{74} - 4343 q^{75} + 152 q^{76} - 715 q^{77} - 1330 q^{78} - 255 q^{79} + 4778 q^{80} + 786 q^{81} - 145 q^{83} - 5595 q^{84} + 699 q^{85} - 4551 q^{86} - 6260 q^{87} - 5 q^{88} + 116 q^{89} + 3097 q^{90} - 2070 q^{91} + 12395 q^{92} - 2455 q^{94} + 1687 q^{95} - 5225 q^{96} - 5 q^{97} - 3370 q^{98} - 30 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/225\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(127\)
\(\chi(n)\) \(e\left(\frac{1}{3}\right)\) \(e\left(\frac{1}{10}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.13719 5.35004i −0.402056 1.89152i −0.450641 0.892705i \(-0.648804\pi\)
0.0485847 0.998819i \(-0.484529\pi\)
\(3\) −4.50950 + 2.58155i −0.867854 + 0.496819i
\(4\) −20.0214 + 8.91409i −2.50267 + 1.11426i
\(5\) 2.25903 10.9497i 0.202053 0.979374i
\(6\) 18.9395 + 21.1903i 1.28867 + 1.44182i
\(7\) 24.9371 14.3974i 1.34647 0.777388i 0.358727 0.933443i \(-0.383211\pi\)
0.987748 + 0.156055i \(0.0498777\pi\)
\(8\) 44.7393 + 61.5784i 1.97722 + 2.72140i
\(9\) 13.6712 23.2830i 0.506342 0.862333i
\(10\) −61.1505 + 0.366009i −1.93375 + 0.0115742i
\(11\) 43.6921 9.28704i 1.19761 0.254559i 0.434403 0.900719i \(-0.356959\pi\)
0.763202 + 0.646160i \(0.223626\pi\)
\(12\) 67.2743 91.8842i 1.61837 2.21039i
\(13\) 2.98869 14.0607i 0.0637625 0.299979i −0.934698 0.355442i \(-0.884330\pi\)
0.998461 + 0.0554632i \(0.0176636\pi\)
\(14\) −105.385 117.042i −2.01181 2.23434i
\(15\) 18.0802 + 55.2097i 0.311219 + 0.950338i
\(16\) 161.252 179.088i 2.51956 2.79825i
\(17\) 34.9316 + 48.0793i 0.498363 + 0.685937i 0.981903 0.189385i \(-0.0606494\pi\)
−0.483540 + 0.875322i \(0.660649\pi\)
\(18\) −140.112 46.6645i −1.83470 0.611052i
\(19\) 98.4561 71.5326i 1.18881 0.863721i 0.195672 0.980669i \(-0.437311\pi\)
0.993138 + 0.116948i \(0.0373112\pi\)
\(20\) 52.3781 + 239.366i 0.585605 + 2.67619i
\(21\) −75.2861 + 129.301i −0.782323 + 1.34361i
\(22\) −99.3721 223.193i −0.963009 2.16295i
\(23\) −34.7244 + 31.2660i −0.314806 + 0.283453i −0.811352 0.584558i \(-0.801268\pi\)
0.496546 + 0.868010i \(0.334601\pi\)
\(24\) −360.719 162.191i −3.06798 1.37946i
\(25\) −114.794 49.4715i −0.918349 0.395772i
\(26\) −78.6238 −0.593054
\(27\) −1.54435 + 140.288i −0.0110078 + 0.999939i
\(28\) −370.934 + 510.547i −2.50357 + 3.44587i
\(29\) −12.6901 + 120.739i −0.0812587 + 0.773124i 0.875691 + 0.482871i \(0.160406\pi\)
−0.956950 + 0.290253i \(0.906261\pi\)
\(30\) 274.813 159.513i 1.67246 0.970767i
\(31\) −14.3789 136.806i −0.0833072 0.792615i −0.953802 0.300437i \(-0.902867\pi\)
0.870494 0.492178i \(-0.163799\pi\)
\(32\) −614.162 354.587i −3.39280 1.95883i
\(33\) −173.055 + 154.673i −0.912877 + 0.815913i
\(34\) 217.502 241.561i 1.09710 1.21845i
\(35\) −101.315 305.579i −0.489294 1.47578i
\(36\) −66.1702 + 588.024i −0.306344 + 2.72233i
\(37\) −13.1630 + 4.27692i −0.0584860 + 0.0190033i −0.338114 0.941105i \(-0.609789\pi\)
0.279628 + 0.960108i \(0.409789\pi\)
\(38\) −494.665 445.398i −2.11172 1.90140i
\(39\) 22.8208 + 71.1221i 0.0936987 + 0.292017i
\(40\) 775.334 350.777i 3.06478 1.38657i
\(41\) 307.965 + 65.4600i 1.17308 + 0.249345i 0.752923 0.658109i \(-0.228643\pi\)
0.420152 + 0.907454i \(0.361977\pi\)
\(42\) 777.382 + 255.744i 2.85602 + 0.939576i
\(43\) 226.301 130.655i 0.802572 0.463365i −0.0417976 0.999126i \(-0.513308\pi\)
0.844370 + 0.535761i \(0.179975\pi\)
\(44\) −791.990 + 575.414i −2.71357 + 1.97152i
\(45\) −224.059 202.293i −0.742239 0.670136i
\(46\) 206.762 + 150.222i 0.662727 + 0.481500i
\(47\) −285.686 30.0268i −0.886630 0.0931886i −0.349746 0.936845i \(-0.613732\pi\)
−0.536884 + 0.843656i \(0.680399\pi\)
\(48\) −264.841 + 1223.88i −0.796385 + 3.68024i
\(49\) 243.071 421.012i 0.708663 1.22744i
\(50\) −134.133 + 670.409i −0.379385 + 1.89620i
\(51\) −281.643 126.636i −0.773293 0.347698i
\(52\) 65.5004 + 308.155i 0.174678 + 0.821797i
\(53\) 279.804 385.117i 0.725170 0.998111i −0.274166 0.961682i \(-0.588402\pi\)
0.999336 0.0364283i \(-0.0115981\pi\)
\(54\) 752.300 151.271i 1.89584 0.381210i
\(55\) −2.98908 499.397i −0.00732813 1.22434i
\(56\) 2002.24 + 891.453i 4.77786 + 2.12724i
\(57\) −259.324 + 576.745i −0.602601 + 1.34021i
\(58\) 660.388 69.4095i 1.49505 0.157137i
\(59\) −265.860 56.5102i −0.586643 0.124695i −0.0949784 0.995479i \(-0.530278\pi\)
−0.491665 + 0.870784i \(0.663612\pi\)
\(60\) −854.134 944.205i −1.83780 2.03160i
\(61\) −1.87377 + 0.398282i −0.00393297 + 0.000835979i −0.209878 0.977728i \(-0.567307\pi\)
0.205945 + 0.978564i \(0.433973\pi\)
\(62\) −715.566 + 232.501i −1.46576 + 0.476253i
\(63\) 5.70547 777.440i 0.0114099 1.55473i
\(64\) −602.884 + 1855.48i −1.17751 + 3.62399i
\(65\) −147.209 64.4888i −0.280908 0.123059i
\(66\) 1024.30 + 749.957i 1.91035 + 1.39869i
\(67\) −841.876 + 88.4847i −1.53510 + 0.161345i −0.834017 0.551738i \(-0.813965\pi\)
−0.701079 + 0.713083i \(0.747298\pi\)
\(68\) −1127.96 651.229i −2.01155 1.16137i
\(69\) 75.8752 230.637i 0.132381 0.402397i
\(70\) −1519.64 + 889.536i −2.59475 + 1.51886i
\(71\) 256.217 + 186.152i 0.428272 + 0.311158i 0.780958 0.624584i \(-0.214731\pi\)
−0.352686 + 0.935742i \(0.614731\pi\)
\(72\) 2045.37 199.812i 3.34790 0.327057i
\(73\) −272.677 88.5981i −0.437184 0.142050i 0.0821521 0.996620i \(-0.473821\pi\)
−0.519336 + 0.854570i \(0.673821\pi\)
\(74\) 37.8504 + 65.5589i 0.0594598 + 0.102987i
\(75\) 645.375 73.2531i 0.993620 0.112781i
\(76\) −1333.58 + 2309.83i −2.01279 + 3.48625i
\(77\) 955.843 860.645i 1.41465 1.27376i
\(78\) 354.554 202.971i 0.514684 0.294640i
\(79\) 7.68360 73.1046i 0.0109427 0.104113i −0.987687 0.156442i \(-0.949998\pi\)
0.998630 + 0.0523288i \(0.0166644\pi\)
\(80\) −1596.70 2170.23i −2.23145 3.03299i
\(81\) −355.195 636.614i −0.487236 0.873271i
\(82\) 1722.07i 2.31915i
\(83\) −345.137 + 775.191i −0.456431 + 1.02516i 0.527977 + 0.849259i \(0.322951\pi\)
−0.984408 + 0.175901i \(0.943716\pi\)
\(84\) 354.728 3259.90i 0.460761 4.23433i
\(85\) 605.367 273.880i 0.772485 0.349488i
\(86\) −956.356 1062.14i −1.19915 1.33179i
\(87\) −254.466 577.232i −0.313582 0.711330i
\(88\) 2526.63 + 2274.99i 3.06068 + 2.75585i
\(89\) 145.585 448.064i 0.173393 0.533648i −0.826164 0.563430i \(-0.809481\pi\)
0.999556 + 0.0297822i \(0.00948137\pi\)
\(90\) −827.481 + 1428.77i −0.969157 + 1.67339i
\(91\) −127.908 393.661i −0.147345 0.453483i
\(92\) 416.522 935.524i 0.472016 1.06016i
\(93\) 418.013 + 579.807i 0.466085 + 0.646486i
\(94\) 164.234 + 1562.58i 0.180206 + 1.71455i
\(95\) −560.848 1239.66i −0.605703 1.33881i
\(96\) 3684.95 + 13.5214i 3.91764 + 0.0143752i
\(97\) −750.674 78.8990i −0.785767 0.0825875i −0.296857 0.954922i \(-0.595939\pi\)
−0.488910 + 0.872334i \(0.662605\pi\)
\(98\) −2528.85 821.673i −2.60666 0.846954i
\(99\) 381.095 1144.25i 0.386883 1.16163i
\(100\) 2739.32 32.7929i 2.73932 0.0327929i
\(101\) 816.927 + 1414.96i 0.804824 + 1.39400i 0.916410 + 0.400242i \(0.131074\pi\)
−0.111586 + 0.993755i \(0.535593\pi\)
\(102\) −357.227 + 1650.81i −0.346772 + 1.60250i
\(103\) 528.591 + 1187.23i 0.505666 + 1.13574i 0.968435 + 0.249266i \(0.0801893\pi\)
−0.462769 + 0.886479i \(0.653144\pi\)
\(104\) 999.545 445.026i 0.942437 0.419600i
\(105\) 1245.74 + 1116.46i 1.15783 + 1.03767i
\(106\) −2378.58 1059.01i −2.17951 0.970380i
\(107\) 507.235i 0.458283i 0.973393 + 0.229141i \(0.0735918\pi\)
−0.973393 + 0.229141i \(0.926408\pi\)
\(108\) −1219.62 2822.52i −1.08664 2.51478i
\(109\) −249.694 768.479i −0.219416 0.675293i −0.998811 0.0487596i \(-0.984473\pi\)
0.779395 0.626533i \(-0.215527\pi\)
\(110\) −2668.39 + 583.899i −2.31292 + 0.506114i
\(111\) 48.3175 53.2677i 0.0413162 0.0455490i
\(112\) 1442.74 6787.55i 1.21720 5.72645i
\(113\) 179.859 846.171i 0.149732 0.704434i −0.837667 0.546182i \(-0.816081\pi\)
0.987399 0.158252i \(-0.0505859\pi\)
\(114\) 3380.51 + 731.524i 2.77731 + 0.600996i
\(115\) 263.911 + 450.854i 0.213999 + 0.365586i
\(116\) −822.201 2530.47i −0.658099 2.02542i
\(117\) −286.515 261.812i −0.226396 0.206877i
\(118\) 1486.62i 1.15978i
\(119\) 1563.31 + 696.030i 1.20427 + 0.536176i
\(120\) −2590.83 + 3583.39i −1.97091 + 2.72598i
\(121\) 606.821 270.174i 0.455913 0.202986i
\(122\) 4.26165 + 9.57181i 0.00316255 + 0.00710321i
\(123\) −1557.76 + 499.834i −1.14194 + 0.366411i
\(124\) 1507.38 + 2610.87i 1.09167 + 1.89083i
\(125\) −801.022 + 1145.20i −0.573165 + 0.819440i
\(126\) −4165.82 + 853.569i −2.94540 + 0.603508i
\(127\) 73.7871 + 23.9749i 0.0515555 + 0.0167514i 0.334681 0.942331i \(-0.391371\pi\)
−0.283126 + 0.959083i \(0.591371\pi\)
\(128\) 4970.20 + 522.389i 3.43209 + 0.360727i
\(129\) −683.214 + 1173.40i −0.466307 + 0.800867i
\(130\) −177.613 + 860.911i −0.119829 + 0.580822i
\(131\) −10.1927 96.9772i −0.00679803 0.0646789i 0.990597 0.136813i \(-0.0436858\pi\)
−0.997395 + 0.0721337i \(0.977019\pi\)
\(132\) 2086.02 4639.39i 1.37549 3.05915i
\(133\) 1425.32 3201.33i 0.929257 2.08714i
\(134\) 1430.77 + 4403.44i 0.922383 + 2.83880i
\(135\) 1532.62 + 333.824i 0.977091 + 0.212822i
\(136\) −1397.83 + 4302.06i −0.881342 + 2.71249i
\(137\) −862.305 776.423i −0.537749 0.484192i 0.354925 0.934895i \(-0.384507\pi\)
−0.892674 + 0.450703i \(0.851173\pi\)
\(138\) −1320.20 143.658i −0.814369 0.0886160i
\(139\) −1015.99 1128.37i −0.619964 0.688540i 0.348609 0.937268i \(-0.386654\pi\)
−0.968573 + 0.248728i \(0.919987\pi\)
\(140\) 4752.41 + 5214.97i 2.86894 + 3.14818i
\(141\) 1365.82 602.106i 0.815763 0.359620i
\(142\) 704.556 1582.46i 0.416373 0.935190i
\(143\) 642.096i 0.375488i
\(144\) −1965.20 6202.78i −1.13727 3.58957i
\(145\) 1293.39 + 411.706i 0.740760 + 0.235795i
\(146\) −163.919 + 1559.58i −0.0929180 + 0.884056i
\(147\) −9.26898 + 2526.06i −0.00520063 + 1.41732i
\(148\) 225.416 202.966i 0.125197 0.112728i
\(149\) −305.103 + 528.453i −0.167752 + 0.290554i −0.937629 0.347638i \(-0.886984\pi\)
0.769877 + 0.638192i \(0.220317\pi\)
\(150\) −1125.82 3369.48i −0.612818 1.83411i
\(151\) 768.260 + 1330.67i 0.414041 + 0.717140i 0.995327 0.0965594i \(-0.0307838\pi\)
−0.581287 + 0.813699i \(0.697450\pi\)
\(152\) 8809.72 + 2862.45i 4.70107 + 1.52747i
\(153\) 1596.99 156.010i 0.843848 0.0824356i
\(154\) −5691.46 4135.08i −2.97812 2.16373i
\(155\) −1530.47 151.603i −0.793100 0.0785617i
\(156\) −1090.89 1220.53i −0.559880 0.626417i
\(157\) −1295.34 747.865i −0.658467 0.380166i 0.133226 0.991086i \(-0.457467\pi\)
−0.791693 + 0.610920i \(0.790800\pi\)
\(158\) −399.850 + 42.0259i −0.201331 + 0.0211608i
\(159\) −267.579 + 2459.01i −0.133461 + 1.22649i
\(160\) −5270.04 + 5923.90i −2.60396 + 2.92703i
\(161\) −415.775 + 1279.62i −0.203526 + 0.626388i
\(162\) −3001.99 + 2624.25i −1.45592 + 1.27272i
\(163\) 443.555 144.120i 0.213141 0.0692536i −0.200500 0.979694i \(-0.564257\pi\)
0.413641 + 0.910440i \(0.364257\pi\)
\(164\) −6749.40 + 1434.63i −3.21366 + 0.683084i
\(165\) 1302.70 + 2244.31i 0.614634 + 1.05891i
\(166\) 4539.79 + 964.962i 2.12263 + 0.451178i
\(167\) −3136.04 + 329.611i −1.45314 + 0.152731i −0.797944 0.602731i \(-0.794079\pi\)
−0.655192 + 0.755462i \(0.727412\pi\)
\(168\) −11330.4 + 1148.86i −5.20334 + 0.527597i
\(169\) 1818.29 + 809.554i 0.827624 + 0.368482i
\(170\) −2153.68 2927.28i −0.971647 1.32066i
\(171\) −319.475 3270.29i −0.142871 1.46249i
\(172\) −3366.19 + 4633.16i −1.49226 + 2.05393i
\(173\) −26.2288 123.397i −0.0115268 0.0542293i 0.972008 0.234946i \(-0.0754915\pi\)
−0.983535 + 0.180717i \(0.942158\pi\)
\(174\) −2798.84 + 2017.82i −1.21942 + 0.879143i
\(175\) −3574.88 + 419.058i −1.54420 + 0.181016i
\(176\) 5382.23 9322.29i 2.30512 3.99258i
\(177\) 1344.78 431.496i 0.571072 0.183239i
\(178\) −2562.72 269.352i −1.07912 0.113420i
\(179\) 1957.90 + 1422.50i 0.817544 + 0.593981i 0.916008 0.401160i \(-0.131393\pi\)
−0.0984639 + 0.995141i \(0.531393\pi\)
\(180\) 6289.23 + 2052.91i 2.60428 + 0.850082i
\(181\) 3060.93 2223.90i 1.25700 0.913266i 0.258396 0.966039i \(-0.416806\pi\)
0.998607 + 0.0527736i \(0.0168062\pi\)
\(182\) −1960.65 + 1131.98i −0.798532 + 0.461033i
\(183\) 7.42158 6.63327i 0.00299792 0.00267948i
\(184\) −3478.85 739.453i −1.39383 0.296268i
\(185\) 17.0956 + 153.793i 0.00679400 + 0.0611194i
\(186\) 2626.63 2895.73i 1.03545 1.14153i
\(187\) 1972.75 + 1776.27i 0.771453 + 0.694620i
\(188\) 5987.49 1945.45i 2.32278 0.754717i
\(189\) 1981.27 + 3520.60i 0.762519 + 1.35495i
\(190\) −5994.46 + 4410.29i −2.28886 + 1.68398i
\(191\) −209.630 + 232.818i −0.0794153 + 0.0881996i −0.781543 0.623852i \(-0.785567\pi\)
0.702128 + 0.712051i \(0.252234\pi\)
\(192\) −2071.32 9923.69i −0.778564 3.73011i
\(193\) 147.771 + 85.3156i 0.0551129 + 0.0318194i 0.527303 0.849677i \(-0.323203\pi\)
−0.472190 + 0.881497i \(0.656537\pi\)
\(194\) 431.543 + 4105.86i 0.159706 + 1.51950i
\(195\) 830.321 89.2150i 0.304926 0.0327632i
\(196\) −1113.68 + 10596.0i −0.405862 + 3.86151i
\(197\) −1350.66 + 1859.03i −0.488480 + 0.672336i −0.980107 0.198471i \(-0.936403\pi\)
0.491626 + 0.870806i \(0.336403\pi\)
\(198\) −6555.15 737.649i −2.35280 0.264760i
\(199\) 4583.60 1.63278 0.816389 0.577502i \(-0.195972\pi\)
0.816389 + 0.577502i \(0.195972\pi\)
\(200\) −2089.41 9282.12i −0.738718 3.28173i
\(201\) 3568.01 2572.36i 1.25208 0.902689i
\(202\) 6641.09 5979.66i 2.31319 2.08281i
\(203\) 1421.87 + 3193.57i 0.491605 + 1.10416i
\(204\) 6767.72 + 24.8331i 2.32272 + 0.00852288i
\(205\) 1412.47 3224.26i 0.481226 1.09850i
\(206\) 5750.65 4178.09i 1.94498 1.41311i
\(207\) 253.240 + 1235.93i 0.0850310 + 0.414992i
\(208\) −2036.17 2802.55i −0.678765 0.934239i
\(209\) 3637.43 4039.77i 1.20386 1.33702i
\(210\) 4556.46 7934.40i 1.49726 2.60726i
\(211\) −1014.50 1126.71i −0.331000 0.367612i 0.554555 0.832147i \(-0.312888\pi\)
−0.885555 + 0.464535i \(0.846222\pi\)
\(212\) −2169.09 + 10204.8i −0.702706 + 3.30597i
\(213\) −1635.97 178.019i −0.526267 0.0572660i
\(214\) 2713.73 576.820i 0.866853 0.184255i
\(215\) −919.418 2773.09i −0.291646 0.879643i
\(216\) −8707.77 + 6181.27i −2.74300 + 1.94714i
\(217\) −2328.22 3204.52i −0.728340 1.00247i
\(218\) −3827.44 + 2209.78i −1.18912 + 0.686536i
\(219\) 1458.36 304.395i 0.449985 0.0939228i
\(220\) 4511.51 + 9971.96i 1.38257 + 3.05595i
\(221\) 780.426 347.468i 0.237544 0.105761i
\(222\) −339.930 197.925i −0.102769 0.0598373i
\(223\) −514.321 2419.69i −0.154446 0.726612i −0.985398 0.170267i \(-0.945537\pi\)
0.830952 0.556344i \(-0.187796\pi\)
\(224\) −20420.5 −6.09109
\(225\) −2721.21 + 1996.40i −0.806286 + 0.591526i
\(226\) −4731.58 −1.39266
\(227\) 1209.59 + 5690.69i 0.353672 + 1.66390i 0.691263 + 0.722604i \(0.257055\pi\)
−0.337590 + 0.941293i \(0.609612\pi\)
\(228\) 50.8530 13858.9i 0.0147712 4.02555i
\(229\) −3729.83 + 1660.63i −1.07631 + 0.479202i −0.866826 0.498611i \(-0.833844\pi\)
−0.209480 + 0.977813i \(0.567177\pi\)
\(230\) 2111.97 1924.64i 0.605475 0.551770i
\(231\) −2088.58 + 6348.63i −0.594886 + 1.80827i
\(232\) −8002.64 + 4620.33i −2.26465 + 1.30750i
\(233\) 66.8920 + 92.0689i 0.0188079 + 0.0258869i 0.818317 0.574767i \(-0.194907\pi\)
−0.799509 + 0.600653i \(0.794907\pi\)
\(234\) −1074.88 + 1830.60i −0.300288 + 0.511410i
\(235\) −974.159 + 3060.36i −0.270413 + 0.849514i
\(236\) 5826.61 1238.48i 1.60712 0.341603i
\(237\) 154.074 + 349.501i 0.0422285 + 0.0957913i
\(238\) 1946.02 9155.28i 0.530006 2.49348i
\(239\) −3257.84 3618.20i −0.881726 0.979255i 0.118180 0.992992i \(-0.462294\pi\)
−0.999906 + 0.0137367i \(0.995627\pi\)
\(240\) 12802.9 + 5664.71i 3.44342 + 1.52356i
\(241\) 3377.71 3751.32i 0.902810 1.00267i −0.0971623 0.995269i \(-0.530977\pi\)
0.999973 0.00740385i \(-0.00235674\pi\)
\(242\) −2135.51 2939.28i −0.567255 0.780760i
\(243\) 3245.20 + 1953.86i 0.856707 + 0.515804i
\(244\) 33.9651 24.6771i 0.00891144 0.00647454i
\(245\) −4060.87 3612.65i −1.05894 0.942055i
\(246\) 4445.59 + 7765.66i 1.15220 + 2.01269i
\(247\) −711.541 1598.15i −0.183297 0.411691i
\(248\) 7780.98 7006.03i 1.99231 1.79388i
\(249\) −444.794 4386.71i −0.113204 1.11645i
\(250\) 7037.79 + 2983.19i 1.78044 + 0.754694i
\(251\) −5958.57 −1.49841 −0.749207 0.662336i \(-0.769565\pi\)
−0.749207 + 0.662336i \(0.769565\pi\)
\(252\) 6815.93 + 15616.3i 1.70382 + 3.90370i
\(253\) −1226.81 + 1688.56i −0.304858 + 0.419601i
\(254\) 44.3569 422.028i 0.0109575 0.104253i
\(255\) −2022.87 + 2797.84i −0.496773 + 0.687090i
\(256\) −1225.78 11662.5i −0.299263 2.84730i
\(257\) 3670.60 + 2119.22i 0.890917 + 0.514371i 0.874242 0.485490i \(-0.161359\pi\)
0.0166749 + 0.999861i \(0.494692\pi\)
\(258\) 7054.66 + 2320.85i 1.70234 + 0.560038i
\(259\) −266.670 + 296.167i −0.0639771 + 0.0710537i
\(260\) 3522.19 21.0816i 0.840141 0.00502857i
\(261\) 2637.67 + 1946.11i 0.625546 + 0.461537i
\(262\) −507.241 + 164.812i −0.119609 + 0.0388632i
\(263\) −3924.07 3533.25i −0.920032 0.828400i 0.0655068 0.997852i \(-0.479134\pi\)
−0.985538 + 0.169452i \(0.945800\pi\)
\(264\) −17266.9 3736.46i −4.02539 0.871072i
\(265\) −3584.84 3933.77i −0.831001 0.911885i
\(266\) −18748.1 3985.03i −4.32150 0.918563i
\(267\) 500.183 + 2396.38i 0.114647 + 0.549273i
\(268\) 16066.7 9276.14i 3.66206 2.11429i
\(269\) −187.228 + 136.029i −0.0424369 + 0.0308322i −0.608801 0.793323i \(-0.708349\pi\)
0.566365 + 0.824155i \(0.308349\pi\)
\(270\) 43.0911 8579.22i 0.00971275 1.93376i
\(271\) −5071.00 3684.30i −1.13668 0.825849i −0.150030 0.988681i \(-0.547937\pi\)
−0.986654 + 0.162832i \(0.947937\pi\)
\(272\) 14243.2 + 1497.02i 3.17508 + 0.333715i
\(273\) 1593.06 + 1445.02i 0.353173 + 0.320353i
\(274\) −3173.29 + 5496.30i −0.699655 + 1.21184i
\(275\) −5475.02 1095.42i −1.20057 0.240205i
\(276\) 536.791 + 5294.02i 0.117069 + 1.15457i
\(277\) 863.269 + 4061.36i 0.187252 + 0.880952i 0.966984 + 0.254838i \(0.0820222\pi\)
−0.779732 + 0.626114i \(0.784645\pi\)
\(278\) −4881.45 + 6718.75i −1.05313 + 1.44951i
\(279\) −3381.83 1535.52i −0.725680 0.329496i
\(280\) 14284.3 19910.2i 3.04875 4.24950i
\(281\) 5065.79 + 2255.43i 1.07544 + 0.478818i 0.866535 0.499117i \(-0.166342\pi\)
0.208909 + 0.977935i \(0.433009\pi\)
\(282\) −4774.48 6622.48i −1.00821 1.39845i
\(283\) −6273.65 + 659.387i −1.31777 + 0.138503i −0.737183 0.675693i \(-0.763845\pi\)
−0.580589 + 0.814196i \(0.697178\pi\)
\(284\) −6789.18 1443.09i −1.41853 0.301519i
\(285\) 5729.39 + 4142.41i 1.19081 + 0.860965i
\(286\) −3435.24 + 730.183i −0.710245 + 0.150967i
\(287\) 8622.20 2801.52i 1.77335 0.576198i
\(288\) −16652.2 + 9451.89i −3.40708 + 1.93388i
\(289\) 426.804 1313.57i 0.0868723 0.267366i
\(290\) 731.817 7387.87i 0.148185 1.49597i
\(291\) 3588.85 1582.11i 0.722962 0.318710i
\(292\) 6249.14 656.811i 1.25241 0.131633i
\(293\) 4481.75 + 2587.54i 0.893607 + 0.515924i 0.875121 0.483905i \(-0.160782\pi\)
0.0184865 + 0.999829i \(0.494115\pi\)
\(294\) 13525.0 2823.01i 2.68298 0.560004i
\(295\) −1219.36 + 2783.43i −0.240656 + 0.549349i
\(296\) −852.269 619.209i −0.167355 0.121591i
\(297\) 1235.38 + 6143.80i 0.241361 + 1.20034i
\(298\) 3174.20 + 1031.36i 0.617036 + 0.200487i
\(299\) 335.840 + 581.693i 0.0649570 + 0.112509i
\(300\) −12268.3 + 7219.56i −2.36104 + 1.38940i
\(301\) 3762.19 6516.31i 0.720429 1.24782i
\(302\) 6245.46 5623.44i 1.19002 1.07150i
\(303\) −7336.71 4271.83i −1.39103 0.809934i
\(304\) 3065.59 29167.1i 0.578366 5.50279i
\(305\) 0.128189 + 21.4170i 2.40658e−5 + 0.00402077i
\(306\) −2650.73 8366.53i −0.495203 1.56302i
\(307\) 2127.96i 0.395600i 0.980242 + 0.197800i \(0.0633797\pi\)
−0.980242 + 0.197800i \(0.936620\pi\)
\(308\) −11465.4 + 25751.8i −2.12111 + 4.76410i
\(309\) −5448.58 3989.26i −1.00310 0.734436i
\(310\) 929.348 + 8360.49i 0.170269 + 1.53175i
\(311\) 2423.04 + 2691.06i 0.441794 + 0.490662i 0.922379 0.386286i \(-0.126242\pi\)
−0.480585 + 0.876948i \(0.659576\pi\)
\(312\) −3358.60 + 4587.22i −0.609433 + 0.832372i
\(313\) −1156.35 1041.18i −0.208820 0.188023i 0.558083 0.829785i \(-0.311537\pi\)
−0.766904 + 0.641762i \(0.778204\pi\)
\(314\) −2528.06 + 7780.58i −0.454353 + 1.39835i
\(315\) −8499.87 1818.73i −1.52036 0.325314i
\(316\) 497.824 + 1532.15i 0.0886228 + 0.272753i
\(317\) −3237.41 + 7271.34i −0.573600 + 1.28833i 0.360981 + 0.932573i \(0.382442\pi\)
−0.934580 + 0.355752i \(0.884225\pi\)
\(318\) 13460.1 1364.80i 2.37360 0.240673i
\(319\) 566.846 + 5393.18i 0.0994899 + 0.946583i
\(320\) 18955.1 + 10793.0i 3.31133 + 1.88546i
\(321\) −1309.45 2287.38i −0.227684 0.397723i
\(322\) 7318.85 + 769.242i 1.26666 + 0.133131i
\(323\) 6878.47 + 2234.95i 1.18492 + 0.385003i
\(324\) 12786.3 + 9579.65i 2.19244 + 1.64260i
\(325\) −1038.68 + 1466.22i −0.177280 + 0.250250i
\(326\) −1275.45 2209.15i −0.216689 0.375317i
\(327\) 3109.86 + 2820.86i 0.525919 + 0.477046i
\(328\) 9747.23 + 21892.6i 1.64086 + 3.68542i
\(329\) −7556.48 + 3364.36i −1.26627 + 0.563779i
\(330\) 10525.8 9521.67i 1.75583 1.58834i
\(331\) −2733.87 1217.20i −0.453978 0.202124i 0.166992 0.985958i \(-0.446595\pi\)
−0.620970 + 0.783834i \(0.713261\pi\)
\(332\) 18597.0i 3.07422i
\(333\) −80.3750 + 364.945i −0.0132268 + 0.0600566i
\(334\) 5329.69 + 16403.1i 0.873136 + 2.68724i
\(335\) −932.935 + 9418.21i −0.152154 + 1.53603i
\(336\) 11016.3 + 34333.0i 1.78866 + 5.57445i
\(337\) −455.276 + 2141.90i −0.0735918 + 0.346222i −0.999503 0.0315185i \(-0.989966\pi\)
0.925911 + 0.377741i \(0.123299\pi\)
\(338\) 2263.42 10648.5i 0.364241 1.71362i
\(339\) 1373.35 + 4280.13i 0.220031 + 0.685736i
\(340\) −9678.88 + 10879.7i −1.54386 + 1.73540i
\(341\) −1898.77 5843.80i −0.301536 0.928034i
\(342\) −17132.9 + 5428.13i −2.70889 + 0.858245i
\(343\) 4121.78i 0.648849i
\(344\) 18170.1 + 8089.84i 2.84786 + 1.26795i
\(345\) −2354.01 1351.83i −0.367349 0.210956i
\(346\) −630.350 + 280.650i −0.0979417 + 0.0436064i
\(347\) 2034.11 + 4568.69i 0.314689 + 0.706802i 0.999765 0.0216688i \(-0.00689793\pi\)
−0.685077 + 0.728471i \(0.740231\pi\)
\(348\) 10240.3 + 9288.63i 1.57740 + 1.43081i
\(349\) −4903.90 8493.81i −0.752148 1.30276i −0.946780 0.321883i \(-0.895684\pi\)
0.194631 0.980877i \(-0.437649\pi\)
\(350\) 6307.27 + 18649.2i 0.963251 + 2.84812i
\(351\) 1967.92 + 440.991i 0.299259 + 0.0670608i
\(352\) −30127.1 9788.89i −4.56187 1.48224i
\(353\) 1955.05 + 205.484i 0.294779 + 0.0309825i 0.250764 0.968048i \(-0.419318\pi\)
0.0440154 + 0.999031i \(0.485985\pi\)
\(354\) −3837.78 6703.92i −0.576203 1.00652i
\(355\) 2617.12 2384.98i 0.391274 0.356568i
\(356\) 1079.27 + 10268.6i 0.160678 + 1.52875i
\(357\) −8846.58 + 897.006i −1.31152 + 0.132982i
\(358\) 5383.92 12092.5i 0.794830 1.78522i
\(359\) −138.679 426.809i −0.0203877 0.0627469i 0.940345 0.340222i \(-0.110502\pi\)
−0.960733 + 0.277475i \(0.910502\pi\)
\(360\) 2432.65 22847.6i 0.356144 3.34494i
\(361\) 2457.16 7562.35i 0.358238 1.10254i
\(362\) −15378.8 13847.1i −2.23285 2.01047i
\(363\) −2038.99 + 2784.89i −0.294819 + 0.402668i
\(364\) 6070.03 + 6741.45i 0.874055 + 0.970736i
\(365\) −1586.11 + 2785.60i −0.227454 + 0.399465i
\(366\) −43.9280 32.1625i −0.00627364 0.00459333i
\(367\) 2263.42 5083.72i 0.321933 0.723073i −0.677995 0.735066i \(-0.737151\pi\)
0.999928 + 0.0119930i \(0.00381759\pi\)
\(368\) 11260.4i 1.59508i
\(369\) 5734.37 6275.43i 0.808995 0.885327i
\(370\) 803.358 266.353i 0.112877 0.0374244i
\(371\) 1432.80 13632.1i 0.200504 1.90767i
\(372\) −13537.6 7882.33i −1.88681 1.09860i
\(373\) 59.0082 53.1312i 0.00819123 0.00737541i −0.665025 0.746821i \(-0.731579\pi\)
0.673216 + 0.739446i \(0.264912\pi\)
\(374\) 7259.74 12574.2i 1.00372 1.73850i
\(375\) 655.817 7232.17i 0.0903100 0.995914i
\(376\) −10932.4 18935.5i −1.49946 2.59713i
\(377\) 1659.74 + 539.282i 0.226740 + 0.0736723i
\(378\) 16582.3 14603.4i 2.25635 1.98709i
\(379\) 11715.0 + 8511.42i 1.58775 + 1.15357i 0.907063 + 0.420995i \(0.138319\pi\)
0.680688 + 0.732573i \(0.261681\pi\)
\(380\) 22279.4 + 19820.3i 3.00766 + 2.67568i
\(381\) −394.635 + 82.3700i −0.0530650 + 0.0110760i
\(382\) 1483.98 + 856.773i 0.198761 + 0.114755i
\(383\) −6295.90 + 661.726i −0.839962 + 0.0882836i −0.514732 0.857351i \(-0.672108\pi\)
−0.325230 + 0.945635i \(0.605442\pi\)
\(384\) −23761.7 + 10475.1i −3.15777 + 1.39207i
\(385\) −7264.56 12410.5i −0.961653 1.64284i
\(386\) 288.399 887.600i 0.0380288 0.117041i
\(387\) 51.7766 7055.18i 0.00680091 0.926706i
\(388\) 15732.8 5111.91i 2.05854 0.668860i
\(389\) −11750.4 + 2497.63i −1.53154 + 0.325540i −0.895129 0.445807i \(-0.852917\pi\)
−0.636415 + 0.771347i \(0.719584\pi\)
\(390\) −1421.53 4340.80i −0.184570 0.563602i
\(391\) −2716.23 577.352i −0.351318 0.0746750i
\(392\) 36800.1 3867.84i 4.74154 0.498356i
\(393\) 296.315 + 411.006i 0.0380334 + 0.0527545i
\(394\) 11481.8 + 5112.03i 1.46814 + 0.653656i
\(395\) −783.119 249.279i −0.0997544 0.0317533i
\(396\) 2569.89 + 26306.5i 0.326115 + 3.33826i
\(397\) 171.632 236.231i 0.0216976 0.0298642i −0.798030 0.602617i \(-0.794125\pi\)
0.819728 + 0.572753i \(0.194125\pi\)
\(398\) −5212.41 24522.5i −0.656468 3.08844i
\(399\) 1836.88 + 18115.9i 0.230474 + 2.27301i
\(400\) −27370.4 + 12580.8i −3.42131 + 1.57260i
\(401\) 7393.07 12805.2i 0.920679 1.59466i 0.122311 0.992492i \(-0.460969\pi\)
0.798367 0.602171i \(-0.205697\pi\)
\(402\) −17819.7 16163.8i −2.21087 2.00541i
\(403\) −1966.56 206.694i −0.243080 0.0255487i
\(404\) −28969.0 21047.2i −3.56749 2.59193i
\(405\) −7773.15 + 2451.16i −0.953707 + 0.300739i
\(406\) 15468.8 11238.7i 1.89090 1.37382i
\(407\) −535.399 + 309.113i −0.0652057 + 0.0376466i
\(408\) −4802.48 23008.7i −0.582741 2.79192i
\(409\) 1105.29 + 234.936i 0.133626 + 0.0284031i 0.274239 0.961662i \(-0.411574\pi\)
−0.140613 + 0.990065i \(0.544907\pi\)
\(410\) −18856.2 3890.19i −2.27132 0.468593i
\(411\) 5892.94 + 1275.20i 0.707244 + 0.153044i
\(412\) −21166.2 19058.2i −2.53103 2.27895i
\(413\) −7443.36 + 2418.49i −0.886837 + 0.288151i
\(414\) 6324.31 2760.33i 0.750779 0.327688i
\(415\) 7708.47 + 5530.34i 0.911792 + 0.654154i
\(416\) −6821.27 + 7575.79i −0.803943 + 0.892869i
\(417\) 7494.54 + 2465.56i 0.880118 + 0.289542i
\(418\) −25749.4 14866.4i −3.01302 1.73957i
\(419\) −466.005 4433.74i −0.0543337 0.516951i −0.987513 0.157539i \(-0.949644\pi\)
0.933179 0.359412i \(-0.117023\pi\)
\(420\) −34893.7 11248.4i −4.05390 1.30682i
\(421\) −447.471 + 4257.41i −0.0518015 + 0.492858i 0.937607 + 0.347698i \(0.113036\pi\)
−0.989408 + 0.145160i \(0.953630\pi\)
\(422\) −4874.29 + 6708.89i −0.562267 + 0.773894i
\(423\) −4604.80 + 6241.12i −0.529298 + 0.717385i
\(424\) 36233.1 4.15008
\(425\) −1631.37 7247.31i −0.186196 0.827168i
\(426\) 907.993 + 8954.94i 0.103269 + 1.01847i
\(427\) −40.9920 + 36.9094i −0.00464577 + 0.00418307i
\(428\) −4521.54 10155.5i −0.510646 1.14693i
\(429\) 1657.60 + 2895.53i 0.186550 + 0.325869i
\(430\) −13790.6 + 8072.45i −1.54661 + 0.905321i
\(431\) −7677.20 + 5577.81i −0.857999 + 0.623373i −0.927340 0.374220i \(-0.877910\pi\)
0.0693406 + 0.997593i \(0.477910\pi\)
\(432\) 24874.8 + 22898.2i 2.77035 + 2.55021i
\(433\) −1809.75 2490.90i −0.200857 0.276456i 0.696692 0.717370i \(-0.254654\pi\)
−0.897549 + 0.440914i \(0.854654\pi\)
\(434\) −14496.7 + 16100.2i −1.60337 + 1.78072i
\(435\) −6895.38 + 1482.36i −0.760019 + 0.163388i
\(436\) 11849.5 + 13160.2i 1.30158 + 1.44555i
\(437\) −1182.29 + 5562.26i −0.129421 + 0.608876i
\(438\) −3286.95 7456.12i −0.358576 0.813395i
\(439\) 7200.91 1530.60i 0.782871 0.166404i 0.200898 0.979612i \(-0.435614\pi\)
0.581974 + 0.813208i \(0.302281\pi\)
\(440\) 30618.3 22526.7i 3.31743 2.44073i
\(441\) −6479.33 11415.2i −0.699636 1.23261i
\(442\) −2746.46 3780.18i −0.295556 0.406798i
\(443\) 12857.4 7423.25i 1.37895 0.796138i 0.386918 0.922114i \(-0.373540\pi\)
0.992033 + 0.125976i \(0.0402062\pi\)
\(444\) −492.550 + 1497.20i −0.0526473 + 0.160031i
\(445\) −4577.30 2606.30i −0.487607 0.277642i
\(446\) −12360.6 + 5503.28i −1.31231 + 0.584277i
\(447\) 11.6344 3170.70i 0.00123107 0.335501i
\(448\) 11680.0 + 54950.3i 1.23176 + 5.79500i
\(449\) 13817.3 1.45229 0.726144 0.687542i \(-0.241310\pi\)
0.726144 + 0.687542i \(0.241310\pi\)
\(450\) 13775.4 + 12288.3i 1.44306 + 1.28728i
\(451\) 14063.6 1.46835
\(452\) 3941.81 + 18544.8i 0.410193 + 1.92981i
\(453\) −6899.65 4017.34i −0.715615 0.416669i
\(454\) 29069.9 12942.8i 3.00511 1.33796i
\(455\) −4599.44 + 511.271i −0.473901 + 0.0526786i
\(456\) −47117.0 + 9834.47i −4.83872 + 1.00996i
\(457\) 1178.81 680.589i 0.120662 0.0696643i −0.438454 0.898754i \(-0.644474\pi\)
0.559116 + 0.829089i \(0.311141\pi\)
\(458\) 13125.9 + 18066.3i 1.33916 + 1.84319i
\(459\) −6798.87 + 4826.22i −0.691382 + 0.490782i
\(460\) −9302.81 6674.18i −0.942926 0.676490i
\(461\) 4170.63 886.496i 0.421358 0.0895623i 0.00764696 0.999971i \(-0.497566\pi\)
0.413711 + 0.910408i \(0.364233\pi\)
\(462\) 36340.5 + 3954.42i 3.65956 + 0.398217i
\(463\) −1188.25 + 5590.28i −0.119271 + 0.561128i 0.877411 + 0.479739i \(0.159269\pi\)
−0.996682 + 0.0813886i \(0.974065\pi\)
\(464\) 19576.6 + 21742.0i 1.95866 + 2.17532i
\(465\) 7293.04 3267.33i 0.727326 0.325847i
\(466\) 416.504 462.574i 0.0414038 0.0459836i
\(467\) −6005.10 8265.31i −0.595038 0.819000i 0.400204 0.916426i \(-0.368939\pi\)
−0.995243 + 0.0974257i \(0.968939\pi\)
\(468\) 8070.25 + 2687.82i 0.797110 + 0.265479i
\(469\) −19720.0 + 14327.4i −1.94154 + 1.41061i
\(470\) 17480.8 + 1731.59i 1.71560 + 0.169941i
\(471\) 7771.98 + 28.5181i 0.760327 + 0.00278991i
\(472\) −8414.56 18899.4i −0.820576 1.84304i
\(473\) 8674.17 7810.26i 0.843211 0.759231i
\(474\) 1694.63 1221.75i 0.164213 0.118390i
\(475\) −14841.0 + 3340.71i −1.43358 + 0.322699i
\(476\) −37504.1 −3.61134
\(477\) −5141.41 11779.7i −0.493520 1.13072i
\(478\) −15652.8 + 21544.2i −1.49778 + 2.06152i
\(479\) 1588.33 15112.0i 0.151509 1.44151i −0.609510 0.792779i \(-0.708634\pi\)
0.761018 0.648730i \(-0.224700\pi\)
\(480\) 8472.45 40318.7i 0.805652 3.83393i
\(481\) 20.7962 + 197.863i 0.00197137 + 0.0187563i
\(482\) −23910.8 13804.9i −2.25956 1.30456i
\(483\) −1428.47 6843.81i −0.134571 0.644729i
\(484\) −9741.02 + 10818.5i −0.914822 + 1.01601i
\(485\) −2559.72 + 8041.45i −0.239651 + 0.752873i
\(486\) 6762.84 19583.9i 0.631211 1.82786i
\(487\) −609.246 + 197.956i −0.0566891 + 0.0184194i −0.337224 0.941424i \(-0.609488\pi\)
0.280535 + 0.959844i \(0.409488\pi\)
\(488\) −108.357 97.5647i −0.0100514 0.00905030i
\(489\) −1628.16 + 1794.97i −0.150569 + 0.165994i
\(490\) −14709.8 + 25834.1i −1.35617 + 2.38176i
\(491\) 16616.5 + 3531.94i 1.52727 + 0.324632i 0.893563 0.448938i \(-0.148197\pi\)
0.633711 + 0.773570i \(0.281531\pi\)
\(492\) 26732.9 23893.4i 2.44962 2.18942i
\(493\) −6248.31 + 3607.47i −0.570811 + 0.329558i
\(494\) −7741.00 + 5624.17i −0.705029 + 0.512233i
\(495\) −11668.3 6757.77i −1.05950 0.613615i
\(496\) −26819.0 19485.1i −2.42784 1.76393i
\(497\) 9069.40 + 953.232i 0.818548 + 0.0860328i
\(498\) −22963.3 + 7368.18i −2.06628 + 0.663004i
\(499\) −9025.91 + 15633.3i −0.809730 + 1.40249i 0.103321 + 0.994648i \(0.467053\pi\)
−0.913051 + 0.407845i \(0.866280\pi\)
\(500\) 5829.12 30068.9i 0.521372 2.68944i
\(501\) 13291.1 9582.20i 1.18523 0.854494i
\(502\) 6776.01 + 31878.6i 0.602446 + 2.83429i
\(503\) 1107.93 1524.93i 0.0982106 0.135175i −0.757084 0.653318i \(-0.773376\pi\)
0.855294 + 0.518143i \(0.173376\pi\)
\(504\) 48128.7 34430.8i 4.25362 3.04299i
\(505\) 17338.9 5748.71i 1.52786 0.506562i
\(506\) 10429.0 + 4643.29i 0.916256 + 0.407943i
\(507\) −10289.5 + 1043.31i −0.901325 + 0.0913906i
\(508\) −1691.03 + 177.735i −0.147692 + 0.0155230i
\(509\) 16326.1 + 3470.22i 1.42169 + 0.302190i 0.853667 0.520820i \(-0.174374\pi\)
0.568027 + 0.823010i \(0.307707\pi\)
\(510\) 17269.0 + 7640.76i 1.49938 + 0.663409i
\(511\) −8075.35 + 1716.47i −0.699085 + 0.148595i
\(512\) −22977.3 + 7465.76i −1.98332 + 0.644420i
\(513\) 9883.08 + 13922.6i 0.850582 + 1.19825i
\(514\) 7163.77 22047.8i 0.614747 1.89200i
\(515\) 14194.0 3105.94i 1.21449 0.265755i
\(516\) 3219.11 29583.2i 0.274639 2.52389i
\(517\) −12761.1 + 1341.24i −1.08556 + 0.114096i
\(518\) 1887.76 + 1089.90i 0.160122 + 0.0924466i
\(519\) 436.833 + 488.747i 0.0369457 + 0.0413364i
\(520\) −2614.92 11950.1i −0.220523 1.00778i
\(521\) −2611.65 1897.48i −0.219614 0.159559i 0.472539 0.881310i \(-0.343338\pi\)
−0.692153 + 0.721751i \(0.743338\pi\)
\(522\) 7412.25 16324.7i 0.621505 1.36880i
\(523\) −19936.5 6477.77i −1.66685 0.541593i −0.684561 0.728956i \(-0.740006\pi\)
−0.982291 + 0.187363i \(0.940006\pi\)
\(524\) 1068.53 + 1850.76i 0.0890824 + 0.154295i
\(525\) 15039.1 11118.5i 1.25021 0.924284i
\(526\) −14440.6 + 25011.9i −1.19704 + 2.07333i
\(527\) 6075.25 5470.18i 0.502167 0.452153i
\(528\) −205.239 + 55933.4i −0.0169165 + 4.61021i
\(529\) −1043.58 + 9928.96i −0.0857710 + 0.816057i
\(530\) −16969.2 + 23652.5i −1.39074 + 1.93849i
\(531\) −4950.35 + 5417.44i −0.404571 + 0.442744i
\(532\) 76800.4i 6.25887i
\(533\) 1840.82 4134.56i 0.149596 0.335999i
\(534\) 12251.9 5401.13i 0.992870 0.437696i
\(535\) 5554.09 + 1145.86i 0.448830 + 0.0925976i
\(536\) −43113.7 47882.6i −3.47430 3.85861i
\(537\) −12501.4 1360.35i −1.00461 0.109317i
\(538\) 940.676 + 846.988i 0.0753818 + 0.0678741i
\(539\) 6710.34 20652.3i 0.536243 1.65039i
\(540\) −33661.0 + 6978.34i −2.68248 + 0.556111i
\(541\) 6032.74 + 18566.9i 0.479423 + 1.47551i 0.839899 + 0.542743i \(0.182614\pi\)
−0.360476 + 0.932768i \(0.617386\pi\)
\(542\) −13944.5 + 31319.8i −1.10510 + 2.48210i
\(543\) −8062.19 + 17930.6i −0.637167 + 1.41708i
\(544\) −4405.42 41914.8i −0.347207 3.30346i
\(545\) −8978.71 + 998.069i −0.705699 + 0.0784451i
\(546\) 5919.29 10166.2i 0.463960 0.796835i
\(547\) 18824.2 + 1978.50i 1.47142 + 0.154652i 0.806042 0.591859i \(-0.201606\pi\)
0.665374 + 0.746511i \(0.268272\pi\)
\(548\) 24185.6 + 7858.38i 1.88533 + 0.612579i
\(549\) −16.3435 + 49.0719i −0.00127054 + 0.00381482i
\(550\) 365.567 + 30537.2i 0.0283415 + 2.36748i
\(551\) 7387.33 + 12795.2i 0.571163 + 0.989283i
\(552\) 17596.8 5646.26i 1.35683 0.435364i
\(553\) −860.911 1933.64i −0.0662019 0.148692i
\(554\) 20746.8 9237.05i 1.59106 0.708384i
\(555\) −474.116 649.397i −0.0362615 0.0496673i
\(556\) 30399.9 + 13534.9i 2.31878 + 1.03239i
\(557\) 7039.25i 0.535481i 0.963491 + 0.267740i \(0.0862769\pi\)
−0.963491 + 0.267740i \(0.913723\pi\)
\(558\) −4369.34 + 19839.1i −0.331485 + 1.50512i
\(559\) −1160.75 3572.43i −0.0878259 0.270300i
\(560\) −71062.7 31130.9i −5.36240 2.34914i
\(561\) −13481.7 2917.36i −1.01461 0.219556i
\(562\) 6305.92 29667.0i 0.473308 2.22674i
\(563\) −4895.18 + 23030.0i −0.366443 + 1.72398i 0.279107 + 0.960260i \(0.409962\pi\)
−0.645550 + 0.763718i \(0.723372\pi\)
\(564\) −21978.3 + 24230.0i −1.64088 + 1.80898i
\(565\) −8859.04 3880.93i −0.659651 0.288977i
\(566\) 10662.1 + 32814.4i 0.791801 + 2.43691i
\(567\) −18023.1 10761.4i −1.33492 0.797066i
\(568\) 24105.7i 1.78073i
\(569\) 11598.7 + 5164.08i 0.854557 + 0.380473i 0.786785 0.617227i \(-0.211744\pi\)
0.0677724 + 0.997701i \(0.478411\pi\)
\(570\) 15646.7 35363.2i 1.14977 2.59860i
\(571\) −17027.2 + 7581.00i −1.24793 + 0.555613i −0.921047 0.389453i \(-0.872664\pi\)
−0.326881 + 0.945066i \(0.605998\pi\)
\(572\) 5723.70 + 12855.6i 0.418392 + 0.939723i
\(573\) 344.298 1591.06i 0.0251017 0.115999i
\(574\) −24793.3 42943.3i −1.80288 3.12268i
\(575\) 5532.92 1871.27i 0.401284 0.135717i
\(576\) 34959.1 + 39403.7i 2.52887 + 2.85038i
\(577\) 22469.9 + 7300.91i 1.62120 + 0.526761i 0.972225 0.234047i \(-0.0751971\pi\)
0.648977 + 0.760808i \(0.275197\pi\)
\(578\) −7512.99 789.647i −0.540656 0.0568252i
\(579\) −886.620 3.25332i −0.0636385 0.000233512i
\(580\) −29565.4 + 3286.48i −2.11661 + 0.235282i
\(581\) 2554.04 + 24300.1i 0.182374 + 1.73518i
\(582\) −12545.5 17401.3i −0.893519 1.23936i
\(583\) 8648.61 19425.1i 0.614389 1.37994i
\(584\) −6743.65 20754.8i −0.477832 1.47062i
\(585\) −3514.02 + 2545.83i −0.248354 + 0.179927i
\(586\) 8746.86 26920.1i 0.616604 1.89771i
\(587\) 4747.99 + 4275.11i 0.333851 + 0.300601i 0.818957 0.573854i \(-0.194553\pi\)
−0.485106 + 0.874455i \(0.661219\pi\)
\(588\) −22331.9 50657.7i −1.56624 3.55287i
\(589\) −11201.8 12440.8i −0.783635 0.870315i
\(590\) 16278.1 + 3358.32i 1.13586 + 0.234339i
\(591\) 1291.65 11870.1i 0.0899008 0.826176i
\(592\) −1356.61 + 3047.00i −0.0941831 + 0.211539i
\(593\) 13727.5i 0.950627i −0.879817 0.475313i \(-0.842335\pi\)
0.879817 0.475313i \(-0.157665\pi\)
\(594\) 31464.7 13596.0i 2.17342 0.939141i
\(595\) 11152.9 15545.5i 0.768445 1.07110i
\(596\) 1397.89 13300.1i 0.0960738 0.914081i
\(597\) −20669.8 + 11832.8i −1.41701 + 0.811195i
\(598\) 2730.17 2458.25i 0.186697 0.168103i
\(599\) −8458.94 + 14651.3i −0.577000 + 0.999393i 0.418821 + 0.908069i \(0.362443\pi\)
−0.995821 + 0.0913245i \(0.970890\pi\)
\(600\) 33384.4 + 36463.8i 2.27152 + 2.48105i
\(601\) 5515.57 + 9553.25i 0.374351 + 0.648395i 0.990230 0.139446i \(-0.0445323\pi\)
−0.615879 + 0.787841i \(0.711199\pi\)
\(602\) −39140.8 12717.6i −2.64993 0.861016i
\(603\) −9449.29 + 20811.1i −0.638151 + 1.40546i
\(604\) −27243.3 19793.4i −1.83529 1.33341i
\(605\) −1587.51 7254.86i −0.106680 0.487524i
\(606\) −14511.2 + 44109.6i −0.972736 + 2.95681i
\(607\) 13733.1 + 7928.80i 0.918301 + 0.530181i 0.883092 0.469199i \(-0.155457\pi\)
0.0352080 + 0.999380i \(0.488791\pi\)
\(608\) −85832.6 + 9021.36i −5.72528 + 0.601751i
\(609\) −14656.3 10730.8i −0.975210 0.714013i
\(610\) 114.436 25.0409i 0.00759570 0.00166209i
\(611\) −1276.02 + 3927.20i −0.0844884 + 0.260029i
\(612\) −30583.2 + 17359.2i −2.02002 + 1.14658i
\(613\) 11294.0 3669.65i 0.744147 0.241788i 0.0876859 0.996148i \(-0.472053\pi\)
0.656461 + 0.754360i \(0.272053\pi\)
\(614\) 11384.7 2419.89i 0.748288 0.159054i
\(615\) 1954.04 + 18186.2i 0.128121 + 1.19242i
\(616\) 95760.9 + 20354.6i 6.26350 + 1.33135i
\(617\) 24689.3 2594.95i 1.61095 0.169317i 0.744163 0.667999i \(-0.232849\pi\)
0.866786 + 0.498681i \(0.166182\pi\)
\(618\) −15146.6 + 33686.7i −0.985901 + 2.19268i
\(619\) −9396.91 4183.77i −0.610168 0.271664i 0.0783016 0.996930i \(-0.475050\pi\)
−0.688469 + 0.725266i \(0.741717\pi\)
\(620\) 31993.5 10607.5i 2.07241 0.687106i
\(621\) −4332.61 4919.69i −0.279970 0.317907i
\(622\) 11641.8 16023.6i 0.750473 1.03294i
\(623\) −2820.51 13269.4i −0.181382 0.853337i
\(624\) 16417.0 + 7381.63i 1.05322 + 0.473560i
\(625\) 10730.1 + 11358.0i 0.686729 + 0.726914i
\(626\) −4255.38 + 7370.53i −0.271692 + 0.470584i
\(627\) −5974.13 + 27607.6i −0.380516 + 1.75844i
\(628\) 32601.0 + 3426.50i 2.07153 + 0.217727i
\(629\) −665.436 483.467i −0.0421823 0.0306472i
\(630\) −64.3427 + 47542.9i −0.00406900 + 3.00659i
\(631\) −16304.4 + 11845.8i −1.02863 + 0.747345i −0.968034 0.250817i \(-0.919301\pi\)
−0.0605977 + 0.998162i \(0.519301\pi\)
\(632\) 4845.42 2797.51i 0.304969 0.176074i
\(633\) 7483.55 + 2461.95i 0.469896 + 0.154587i
\(634\) 42583.5 + 9051.40i 2.66752 + 0.566999i
\(635\) 429.206 753.789i 0.0268228 0.0471074i
\(636\) −16562.6 51618.0i −1.03262 3.21822i
\(637\) −5193.25 4676.02i −0.323020 0.290849i
\(638\) 28209.1 9165.70i 1.75048 0.568767i
\(639\) 7836.97 3420.56i 0.485174 0.211761i
\(640\) 16947.8 53242.3i 1.04675 3.28842i
\(641\) −10458.7 + 11615.6i −0.644452 + 0.715737i −0.973528 0.228567i \(-0.926596\pi\)
0.329076 + 0.944303i \(0.393263\pi\)
\(642\) −10748.5 + 9606.79i −0.660760 + 0.590576i
\(643\) −22403.0 12934.4i −1.37401 0.793285i −0.382579 0.923923i \(-0.624964\pi\)
−0.991430 + 0.130638i \(0.958297\pi\)
\(644\) −3082.29 29326.1i −0.188602 1.79442i
\(645\) 11305.0 + 10131.7i 0.690129 + 0.618507i
\(646\) 4134.97 39341.6i 0.251839 2.39609i
\(647\) −5162.71 + 7105.86i −0.313705 + 0.431777i −0.936532 0.350582i \(-0.885984\pi\)
0.622827 + 0.782359i \(0.285984\pi\)
\(648\) 23310.5 50354.0i 1.41315 3.05261i
\(649\) −12140.8 −0.734310
\(650\) 9025.51 + 3889.64i 0.544630 + 0.234714i
\(651\) 18771.7 + 8440.38i 1.13014 + 0.508149i
\(652\) −7595.89 + 6839.37i −0.456254 + 0.410813i
\(653\) −3752.65 8428.59i −0.224889 0.505109i 0.765497 0.643439i \(-0.222493\pi\)
−0.990386 + 0.138330i \(0.955826\pi\)
\(654\) 11555.2 19845.7i 0.690895 1.18659i
\(655\) −1084.90 107.466i −0.0647184 0.00641078i
\(656\) 61383.1 44597.4i 3.65336 2.65432i
\(657\) −5790.66 + 5137.49i −0.343859 + 0.305072i
\(658\) 26592.6 + 36601.6i 1.57551 + 2.16851i
\(659\) −885.010 + 982.904i −0.0523143 + 0.0581009i −0.768734 0.639569i \(-0.779113\pi\)
0.716420 + 0.697670i \(0.245780\pi\)
\(660\) −46087.7 33321.9i −2.71813 1.96523i
\(661\) 12785.4 + 14199.7i 0.752339 + 0.835557i 0.990763 0.135604i \(-0.0432975\pi\)
−0.238424 + 0.971161i \(0.576631\pi\)
\(662\) −3403.13 + 16010.5i −0.199798 + 0.939977i
\(663\) −2622.33 + 3581.62i −0.153609 + 0.209802i
\(664\) −63176.2 + 13428.5i −3.69234 + 0.784830i
\(665\) −31833.9 22838.8i −1.85634 1.33181i
\(666\) 2043.87 + 14.9995i 0.118916 + 0.000872703i
\(667\) −3334.36 4589.35i −0.193563 0.266417i
\(668\) 59849.5 34554.2i 3.46654 2.00141i
\(669\) 8565.88 + 9583.86i 0.495031 + 0.553861i
\(670\) 51448.7 5719.01i 2.96662 0.329768i
\(671\) −78.1700 + 34.8035i −0.00449735 + 0.00200235i
\(672\) 92086.5 52716.6i 5.28618 3.02617i
\(673\) 3398.75 + 15989.9i 0.194669 + 0.915846i 0.961672 + 0.274202i \(0.0884137\pi\)
−0.767003 + 0.641643i \(0.778253\pi\)
\(674\) 11977.0 0.684476
\(675\) 7117.52 16027.7i 0.405857 0.913937i
\(676\) −43621.1 −2.48185
\(677\) −709.238 3336.70i −0.0402632 0.189424i 0.953420 0.301647i \(-0.0975363\pi\)
−0.993683 + 0.112223i \(0.964203\pi\)
\(678\) 21337.1 12214.8i 1.20862 0.691897i
\(679\) −19855.6 + 8840.26i −1.12222 + 0.499644i
\(680\) 43948.8 + 25024.3i 2.47847 + 1.41123i
\(681\) −20145.5 22539.6i −1.13359 1.26831i
\(682\) −29105.3 + 16804.0i −1.63416 + 0.943485i
\(683\) 11195.6 + 15409.4i 0.627215 + 0.863288i 0.997853 0.0654896i \(-0.0208609\pi\)
−0.370638 + 0.928777i \(0.620861\pi\)
\(684\) 35548.0 + 62627.9i 1.98715 + 3.50093i
\(685\) −10449.6 + 7688.05i −0.582859 + 0.428825i
\(686\) −22051.7 + 4687.23i −1.22731 + 0.260873i
\(687\) 12532.7 17117.3i 0.696000 0.950607i
\(688\) 13092.7 61596.3i 0.725515 3.41328i
\(689\) −4578.76 5085.22i −0.253174 0.281178i
\(690\) −4555.39 + 14131.3i −0.251334 + 0.779667i
\(691\) −800.198 + 888.710i −0.0440535 + 0.0489263i −0.764769 0.644305i \(-0.777147\pi\)
0.720715 + 0.693231i \(0.243813\pi\)
\(692\) 1625.10 + 2236.76i 0.0892734 + 0.122874i
\(693\) −6970.83 34021.0i −0.382107 1.86486i
\(694\) 22129.5 16078.0i 1.21041 0.879415i
\(695\) −14650.5 + 8575.80i −0.799605 + 0.468055i
\(696\) 24160.3 41494.6i 1.31580 2.25984i
\(697\) 7610.46 + 17093.4i 0.413582 + 0.928920i
\(698\) −39865.5 + 35895.1i −2.16180 + 1.94649i
\(699\) −539.330 242.500i −0.0291836 0.0131219i
\(700\) 67838.4 40256.9i 3.66293 2.17367i
\(701\) 7336.32 0.395277 0.197638 0.980275i \(-0.436673\pi\)
0.197638 + 0.980275i \(0.436673\pi\)
\(702\) 121.423 11030.0i 0.00652821 0.593018i
\(703\) −990.039 + 1362.67i −0.0531153 + 0.0731069i
\(704\) −9109.28 + 86669.0i −0.487669 + 4.63986i
\(705\) −3507.49 16315.5i −0.187375 0.871601i
\(706\) −1123.91 10693.3i −0.0599135 0.570039i
\(707\) 40743.5 + 23523.3i 2.16735 + 1.25132i
\(708\) −23077.9 + 20626.6i −1.22503 + 1.09491i
\(709\) −5244.71 + 5824.84i −0.277813 + 0.308542i −0.865862 0.500283i \(-0.833229\pi\)
0.588049 + 0.808825i \(0.299896\pi\)
\(710\) −15735.9 11289.5i −0.831771 0.596744i
\(711\) −1597.05 1178.33i −0.0842391 0.0621529i
\(712\) 34104.4 11081.2i 1.79511 0.583266i
\(713\) 4776.67 + 4300.93i 0.250894 + 0.225906i
\(714\) 14859.2 + 46309.5i 0.778841 + 2.42730i
\(715\) −7030.79 1450.51i −0.367743 0.0758687i
\(716\) −51880.1 11027.5i −2.70789 0.575580i
\(717\) 24031.8 + 7906.02i 1.25172 + 0.411793i
\(718\) −2125.74 + 1227.30i −0.110490 + 0.0637916i
\(719\) 17976.5 13060.7i 0.932422 0.677444i −0.0141624 0.999900i \(-0.504508\pi\)
0.946585 + 0.322455i \(0.104508\pi\)
\(720\) −72358.3 + 7506.17i −3.74532 + 0.388525i
\(721\) 30274.6 + 21995.8i 1.56378 + 1.13615i
\(722\) −43253.1 4546.08i −2.22952 0.234332i
\(723\) −5547.56 + 25636.3i −0.285361 + 1.31871i
\(724\) −41460.0 + 71810.9i −2.12825 + 3.68623i
\(725\) 7429.87 13232.2i 0.380605 0.677838i
\(726\) 17218.0 + 7741.76i 0.880191 + 0.395763i
\(727\) −5921.26 27857.4i −0.302074 1.42114i −0.823242 0.567691i \(-0.807837\pi\)
0.521168 0.853454i \(-0.325496\pi\)
\(728\) 18518.5 25488.5i 0.942776 1.29762i
\(729\) −19678.2 433.306i −0.999758 0.0220142i
\(730\) 16706.7 + 5318.01i 0.847047 + 0.269628i
\(731\) 14186.9 + 6316.40i 0.717811 + 0.319590i
\(732\) −89.4606 + 198.964i −0.00451716 + 0.0100463i
\(733\) 27878.2 2930.11i 1.40478 0.147648i 0.628389 0.777899i \(-0.283715\pi\)
0.776391 + 0.630251i \(0.217048\pi\)
\(734\) −29772.0 6328.24i −1.49715 0.318228i
\(735\) 27638.7 + 5807.92i 1.38703 + 0.291467i
\(736\) 32412.9 6889.58i 1.62331 0.345045i
\(737\) −35961.5 + 11684.6i −1.79737 + 0.584000i
\(738\) −40094.8 23542.8i −1.99988 1.17428i
\(739\) −6467.04 + 19903.5i −0.321913 + 0.990748i 0.650901 + 0.759162i \(0.274391\pi\)
−0.972815 + 0.231585i \(0.925609\pi\)
\(740\) −1713.20 2926.76i −0.0851061 0.145391i
\(741\) 7334.39 + 5369.98i 0.363611 + 0.266223i
\(742\) −74561.8 + 7836.76i −3.68902 + 0.387731i
\(743\) −1450.99 837.729i −0.0716441 0.0413638i 0.463750 0.885966i \(-0.346504\pi\)
−0.535394 + 0.844602i \(0.679837\pi\)
\(744\) −17002.0 + 51680.7i −0.837799 + 2.54665i
\(745\) 5097.19 + 4534.59i 0.250667 + 0.222999i
\(746\) −351.357 255.276i −0.0172441 0.0125286i
\(747\) 13330.3 + 18633.6i 0.652919 + 0.912676i
\(748\) −55331.0 17978.1i −2.70468 0.878804i
\(749\) 7302.87 + 12648.9i 0.356263 + 0.617066i
\(750\) −39438.2 + 4715.68i −1.92010 + 0.229590i
\(751\) 15217.6 26357.7i 0.739413 1.28070i −0.213346 0.976977i \(-0.568436\pi\)
0.952760 0.303725i \(-0.0982304\pi\)
\(752\) −51444.9 + 46321.2i −2.49468 + 2.24622i
\(753\) 26870.2 15382.3i 1.30040 0.744440i
\(754\) 997.748 9492.94i 0.0481908 0.458505i
\(755\) 16306.0 5406.24i 0.786007 0.260600i
\(756\) −71050.6 52825.9i −3.41810 2.54135i
\(757\) 35418.4i 1.70053i −0.526352 0.850267i \(-0.676440\pi\)
0.526352 0.850267i \(-0.323560\pi\)
\(758\) 32214.4 72354.6i 1.54364 3.46707i
\(759\) 1173.21 10781.7i 0.0561066 0.515612i
\(760\) 51244.5 89997.8i 2.44583 4.29548i
\(761\) −9968.51 11071.2i −0.474847 0.527371i 0.457368 0.889278i \(-0.348792\pi\)
−0.932214 + 0.361907i \(0.882126\pi\)
\(762\) 889.456 + 2017.64i 0.0422856 + 0.0959206i
\(763\) −17290.7 15568.7i −0.820403 0.738694i
\(764\) 2121.73 6530.00i 0.100473 0.309224i
\(765\) 1899.37 17839.0i 0.0897671 0.843100i
\(766\) 10699.9 + 32930.8i 0.504702 + 1.55331i
\(767\) −1589.14 + 3569.27i −0.0748117 + 0.168030i
\(768\) 35635.0 + 49427.8i 1.67431 + 2.32236i
\(769\) −3875.21 36870.1i −0.181721 1.72896i −0.582538 0.812803i \(-0.697940\pi\)
0.400817 0.916158i \(-0.368726\pi\)
\(770\) −58135.2 + 52978.7i −2.72084 + 2.47951i
\(771\) −22023.5 80.8118i −1.02874 0.00377479i