Properties

Label 224.3.w.a.43.16
Level 224
Weight 3
Character 224.43
Analytic conductor 6.104
Analytic rank 0
Dimension 192
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 224 = 2^{5} \cdot 7 \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 224.w (of order \(8\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.10355792167\)
Analytic rank: \(0\)
Dimension: \(192\)
Relative dimension: \(48\) over \(\Q(\zeta_{8})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{8}]$

Embedding invariants

Embedding label 43.16
Character \(\chi\) \(=\) 224.43
Dual form 224.3.w.a.99.16

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.00544 - 1.72890i) q^{2} +(-0.343872 - 0.830180i) q^{3} +(-1.97818 + 3.47661i) q^{4} +(-1.68929 + 4.07830i) q^{5} +(-1.08955 + 1.42922i) q^{6} +(-1.87083 + 1.87083i) q^{7} +(7.99964 - 0.0754426i) q^{8} +(5.79301 - 5.79301i) q^{9} +O(q^{10})\) \(q+(-1.00544 - 1.72890i) q^{2} +(-0.343872 - 0.830180i) q^{3} +(-1.97818 + 3.47661i) q^{4} +(-1.68929 + 4.07830i) q^{5} +(-1.08955 + 1.42922i) q^{6} +(-1.87083 + 1.87083i) q^{7} +(7.99964 - 0.0754426i) q^{8} +(5.79301 - 5.79301i) q^{9} +(8.74944 - 1.17988i) q^{10} +(1.83307 - 4.42543i) q^{11} +(3.56645 + 0.446740i) q^{12} +(-5.16372 - 12.4663i) q^{13} +(5.11548 + 1.35347i) q^{14} +3.96662 q^{15} +(-8.17359 - 13.7547i) q^{16} -25.5323i q^{17} +(-15.8401 - 4.19101i) q^{18} +(20.0221 - 8.29342i) q^{19} +(-10.8369 - 13.9406i) q^{20} +(2.19645 + 0.909799i) q^{21} +(-9.49417 + 1.28031i) q^{22} +(19.0131 + 19.0131i) q^{23} +(-2.81348 - 6.61520i) q^{24} +(3.89886 + 3.89886i) q^{25} +(-16.3612 + 21.4617i) q^{26} +(-14.2729 - 5.91203i) q^{27} +(-2.80330 - 10.2050i) q^{28} +(-28.8850 + 11.9646i) q^{29} +(-3.98819 - 6.85788i) q^{30} -20.2039i q^{31} +(-15.5625 + 27.9609i) q^{32} -4.30425 q^{33} +(-44.1428 + 25.6712i) q^{34} +(-4.46943 - 10.7902i) q^{35} +(8.68039 + 31.5996i) q^{36} +(20.6185 - 49.7775i) q^{37} +(-34.4695 - 26.2776i) q^{38} +(-8.57363 + 8.57363i) q^{39} +(-13.2060 + 32.7524i) q^{40} +(48.4204 - 48.4204i) q^{41} +(-0.635447 - 4.71219i) q^{42} +(-1.98997 + 4.80421i) q^{43} +(11.7593 + 15.1272i) q^{44} +(13.8396 + 33.4117i) q^{45} +(13.7552 - 51.9884i) q^{46} -0.301912 q^{47} +(-8.60823 + 11.5154i) q^{48} -7.00000i q^{49} +(2.82066 - 10.6608i) q^{50} +(-21.1964 + 8.77984i) q^{51} +(53.5552 + 6.70842i) q^{52} +(-57.5410 - 23.8343i) q^{53} +(4.12925 + 30.6206i) q^{54} +(14.9516 + 14.9516i) q^{55} +(-14.8248 + 15.1071i) q^{56} +(-13.7701 - 13.7701i) q^{57} +(49.7277 + 37.9097i) q^{58} +(10.1059 + 4.18602i) q^{59} +(-7.84669 + 13.7904i) q^{60} +(41.4624 - 17.1743i) q^{61} +(-34.9305 + 20.3138i) q^{62} +21.6755i q^{63} +(63.9886 - 1.20703i) q^{64} +59.5643 q^{65} +(4.32766 + 7.44161i) q^{66} +(20.6489 + 49.8508i) q^{67} +(88.7658 + 50.5076i) q^{68} +(9.24625 - 22.3224i) q^{69} +(-14.1613 + 18.5760i) q^{70} +(-61.3241 + 61.3241i) q^{71} +(45.9050 - 46.7791i) q^{72} +(41.1271 - 41.1271i) q^{73} +(-106.791 + 14.4009i) q^{74} +(1.89605 - 4.57746i) q^{75} +(-10.7744 + 86.0148i) q^{76} +(4.84986 + 11.7086i) q^{77} +(23.4432 + 6.20267i) q^{78} +68.4372 q^{79} +(69.9034 - 10.0987i) q^{80} -59.8509i q^{81} +(-132.398 - 35.0302i) q^{82} +(-105.678 + 43.7731i) q^{83} +(-7.50799 + 5.83644i) q^{84} +(104.128 + 43.1314i) q^{85} +(10.3068 - 1.38989i) q^{86} +(19.8655 + 19.8655i) q^{87} +(14.3301 - 35.5402i) q^{88} +(48.8993 + 48.8993i) q^{89} +(43.8505 - 57.5206i) q^{90} +(32.9828 + 13.6619i) q^{91} +(-103.713 + 28.4898i) q^{92} +(-16.7729 + 6.94756i) q^{93} +(0.303555 + 0.521976i) q^{94} +95.6659i q^{95} +(28.5640 + 3.30470i) q^{96} -140.318 q^{97} +(-12.1023 + 7.03808i) q^{98} +(-15.0176 - 36.2556i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 192q + O(q^{10}) \) \( 192q + 80q^{10} + 96q^{12} - 20q^{16} - 60q^{18} - 260q^{22} + 64q^{23} - 144q^{24} - 200q^{26} + 192q^{27} - 40q^{30} + 40q^{32} + 120q^{34} + 464q^{36} + 504q^{38} - 384q^{39} + 360q^{40} - 96q^{43} + 52q^{44} + 64q^{46} - 104q^{48} - 312q^{50} - 384q^{51} - 320q^{52} + 160q^{53} - 576q^{54} - 512q^{55} - 196q^{56} - 360q^{58} - 872q^{60} + 128q^{61} - 408q^{62} + 832q^{66} + 160q^{67} + 856q^{68} - 384q^{69} + 336q^{70} + 1488q^{72} + 308q^{74} + 768q^{75} + 1024q^{76} - 224q^{77} - 408q^{78} + 1024q^{79} - 1040q^{80} - 240q^{82} - 1384q^{86} + 896q^{87} - 560q^{88} - 1320q^{90} - 380q^{92} - 936q^{94} - 1088q^{96} - 512q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/224\mathbb{Z}\right)^\times\).

\(n\) \(127\) \(129\) \(197\)
\(\chi(n)\) \(-1\) \(1\) \(e\left(\frac{5}{8}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.00544 1.72890i −0.502720 0.864449i
\(3\) −0.343872 0.830180i −0.114624 0.276727i 0.856148 0.516731i \(-0.172851\pi\)
−0.970772 + 0.240004i \(0.922851\pi\)
\(4\) −1.97818 + 3.47661i −0.494545 + 0.869152i
\(5\) −1.68929 + 4.07830i −0.337857 + 0.815659i 0.660064 + 0.751209i \(0.270529\pi\)
−0.997921 + 0.0644497i \(0.979471\pi\)
\(6\) −1.08955 + 1.42922i −0.181592 + 0.238203i
\(7\) −1.87083 + 1.87083i −0.267261 + 0.267261i
\(8\) 7.99964 0.0754426i 0.999956 0.00943033i
\(9\) 5.79301 5.79301i 0.643668 0.643668i
\(10\) 8.74944 1.17988i 0.874944 0.117988i
\(11\) 1.83307 4.42543i 0.166643 0.402312i −0.818393 0.574659i \(-0.805135\pi\)
0.985036 + 0.172346i \(0.0551348\pi\)
\(12\) 3.56645 + 0.446740i 0.297204 + 0.0372283i
\(13\) −5.16372 12.4663i −0.397209 0.958947i −0.988325 0.152361i \(-0.951312\pi\)
0.591116 0.806587i \(-0.298688\pi\)
\(14\) 5.11548 + 1.35347i 0.365391 + 0.0966763i
\(15\) 3.96662 0.264441
\(16\) −8.17359 13.7547i −0.510850 0.859670i
\(17\) 25.5323i 1.50190i −0.660359 0.750950i \(-0.729596\pi\)
0.660359 0.750950i \(-0.270404\pi\)
\(18\) −15.8401 4.19101i −0.880003 0.232834i
\(19\) 20.0221 8.29342i 1.05379 0.436496i 0.212549 0.977150i \(-0.431823\pi\)
0.841245 + 0.540655i \(0.181823\pi\)
\(20\) −10.8369 13.9406i −0.541846 0.697030i
\(21\) 2.19645 + 0.909799i 0.104593 + 0.0433238i
\(22\) −9.49417 + 1.28031i −0.431553 + 0.0581958i
\(23\) 19.0131 + 19.0131i 0.826658 + 0.826658i 0.987053 0.160395i \(-0.0512766\pi\)
−0.160395 + 0.987053i \(0.551277\pi\)
\(24\) −2.81348 6.61520i −0.117228 0.275633i
\(25\) 3.89886 + 3.89886i 0.155954 + 0.155954i
\(26\) −16.3612 + 21.4617i −0.629276 + 0.825449i
\(27\) −14.2729 5.91203i −0.528626 0.218964i
\(28\) −2.80330 10.2050i −0.100118 0.364463i
\(29\) −28.8850 + 11.9646i −0.996036 + 0.412572i −0.820342 0.571873i \(-0.806217\pi\)
−0.175694 + 0.984445i \(0.556217\pi\)
\(30\) −3.98819 6.85788i −0.132940 0.228596i
\(31\) 20.2039i 0.651739i −0.945415 0.325870i \(-0.894343\pi\)
0.945415 0.325870i \(-0.105657\pi\)
\(32\) −15.5625 + 27.9609i −0.486327 + 0.873777i
\(33\) −4.30425 −0.130432
\(34\) −44.1428 + 25.6712i −1.29832 + 0.755035i
\(35\) −4.46943 10.7902i −0.127698 0.308290i
\(36\) 8.68039 + 31.5996i 0.241122 + 0.877768i
\(37\) 20.6185 49.7775i 0.557257 1.34534i −0.354673 0.934990i \(-0.615408\pi\)
0.911930 0.410346i \(-0.134592\pi\)
\(38\) −34.4695 26.2776i −0.907091 0.691516i
\(39\) −8.57363 + 8.57363i −0.219837 + 0.219837i
\(40\) −13.2060 + 32.7524i −0.330150 + 0.818809i
\(41\) 48.4204 48.4204i 1.18098 1.18098i 0.201495 0.979489i \(-0.435420\pi\)
0.979489 0.201495i \(-0.0645801\pi\)
\(42\) −0.635447 4.71219i −0.0151297 0.112195i
\(43\) −1.98997 + 4.80421i −0.0462783 + 0.111726i −0.945328 0.326120i \(-0.894259\pi\)
0.899050 + 0.437846i \(0.144259\pi\)
\(44\) 11.7593 + 15.1272i 0.267258 + 0.343800i
\(45\) 13.8396 + 33.4117i 0.307546 + 0.742481i
\(46\) 13.7552 51.9884i 0.299027 1.13018i
\(47\) −0.301912 −0.00642367 −0.00321183 0.999995i \(-0.501022\pi\)
−0.00321183 + 0.999995i \(0.501022\pi\)
\(48\) −8.60823 + 11.5154i −0.179338 + 0.239904i
\(49\) 7.00000i 0.142857i
\(50\) 2.82066 10.6608i 0.0564133 0.213216i
\(51\) −21.1964 + 8.77984i −0.415616 + 0.172154i
\(52\) 53.5552 + 6.70842i 1.02991 + 0.129008i
\(53\) −57.5410 23.8343i −1.08568 0.449703i −0.233181 0.972433i \(-0.574913\pi\)
−0.852498 + 0.522730i \(0.824913\pi\)
\(54\) 4.12925 + 30.6206i 0.0764675 + 0.567048i
\(55\) 14.9516 + 14.9516i 0.271848 + 0.271848i
\(56\) −14.8248 + 15.1071i −0.264729 + 0.269770i
\(57\) −13.7701 13.7701i −0.241580 0.241580i
\(58\) 49.7277 + 37.9097i 0.857374 + 0.653615i
\(59\) 10.1059 + 4.18602i 0.171287 + 0.0709494i 0.466679 0.884427i \(-0.345450\pi\)
−0.295392 + 0.955376i \(0.595450\pi\)
\(60\) −7.84669 + 13.7904i −0.130778 + 0.229840i
\(61\) 41.4624 17.1743i 0.679712 0.281546i −0.0159947 0.999872i \(-0.505091\pi\)
0.695706 + 0.718326i \(0.255091\pi\)
\(62\) −34.9305 + 20.3138i −0.563396 + 0.327642i
\(63\) 21.6755i 0.344055i
\(64\) 63.9886 1.20703i 0.999822 0.0188598i
\(65\) 59.5643 0.916374
\(66\) 4.32766 + 7.44161i 0.0655707 + 0.112752i
\(67\) 20.6489 + 49.8508i 0.308192 + 0.744042i 0.999764 + 0.0217341i \(0.00691874\pi\)
−0.691571 + 0.722308i \(0.743081\pi\)
\(68\) 88.7658 + 50.5076i 1.30538 + 0.742758i
\(69\) 9.24625 22.3224i 0.134004 0.323513i
\(70\) −14.1613 + 18.5760i −0.202305 + 0.265372i
\(71\) −61.3241 + 61.3241i −0.863720 + 0.863720i −0.991768 0.128048i \(-0.959129\pi\)
0.128048 + 0.991768i \(0.459129\pi\)
\(72\) 45.9050 46.7791i 0.637569 0.649709i
\(73\) 41.1271 41.1271i 0.563385 0.563385i −0.366882 0.930267i \(-0.619575\pi\)
0.930267 + 0.366882i \(0.119575\pi\)
\(74\) −106.791 + 14.4009i −1.44312 + 0.194607i
\(75\) 1.89605 4.57746i 0.0252806 0.0610328i
\(76\) −10.7744 + 86.0148i −0.141768 + 1.13177i
\(77\) 4.84986 + 11.7086i 0.0629852 + 0.152060i
\(78\) 23.4432 + 6.20267i 0.300554 + 0.0795214i
\(79\) 68.4372 0.866294 0.433147 0.901323i \(-0.357403\pi\)
0.433147 + 0.901323i \(0.357403\pi\)
\(80\) 69.9034 10.0987i 0.873792 0.126233i
\(81\) 59.8509i 0.738900i
\(82\) −132.398 35.0302i −1.61461 0.427197i
\(83\) −105.678 + 43.7731i −1.27323 + 0.527387i −0.913943 0.405842i \(-0.866978\pi\)
−0.359282 + 0.933229i \(0.616978\pi\)
\(84\) −7.50799 + 5.83644i −0.0893809 + 0.0694815i
\(85\) 104.128 + 43.1314i 1.22504 + 0.507428i
\(86\) 10.3068 1.38989i 0.119846 0.0161615i
\(87\) 19.8655 + 19.8655i 0.228339 + 0.228339i
\(88\) 14.3301 35.5402i 0.162842 0.403866i
\(89\) 48.8993 + 48.8993i 0.549430 + 0.549430i 0.926276 0.376846i \(-0.122991\pi\)
−0.376846 + 0.926276i \(0.622991\pi\)
\(90\) 43.8505 57.5206i 0.487228 0.639118i
\(91\) 32.9828 + 13.6619i 0.362448 + 0.150131i
\(92\) −103.713 + 28.4898i −1.12731 + 0.309671i
\(93\) −16.7729 + 6.94756i −0.180354 + 0.0747049i
\(94\) 0.303555 + 0.521976i 0.00322931 + 0.00555294i
\(95\) 95.6659i 1.00701i
\(96\) 28.5640 + 3.30470i 0.297542 + 0.0344239i
\(97\) −140.318 −1.44658 −0.723289 0.690545i \(-0.757371\pi\)
−0.723289 + 0.690545i \(0.757371\pi\)
\(98\) −12.1023 + 7.03808i −0.123493 + 0.0718171i
\(99\) −15.0176 36.2556i −0.151693 0.366218i
\(100\) −21.2674 + 5.84215i −0.212674 + 0.0584215i
\(101\) −15.6876 + 37.8733i −0.155323 + 0.374983i −0.982316 0.187229i \(-0.940050\pi\)
0.826993 + 0.562212i \(0.190050\pi\)
\(102\) 36.4912 + 27.8189i 0.357757 + 0.272734i
\(103\) 138.293 138.293i 1.34265 1.34265i 0.449247 0.893408i \(-0.351692\pi\)
0.893408 0.449247i \(-0.148308\pi\)
\(104\) −42.2484 99.3365i −0.406234 0.955159i
\(105\) −7.42086 + 7.42086i −0.0706749 + 0.0706749i
\(106\) 16.6470 + 123.446i 0.157047 + 1.16459i
\(107\) −69.6503 + 168.151i −0.650938 + 1.57150i 0.160482 + 0.987039i \(0.448695\pi\)
−0.811420 + 0.584464i \(0.801305\pi\)
\(108\) 48.7882 37.9262i 0.451743 0.351169i
\(109\) 33.9441 + 81.9483i 0.311414 + 0.751819i 0.999653 + 0.0263355i \(0.00838383\pi\)
−0.688239 + 0.725484i \(0.741616\pi\)
\(110\) 10.8169 40.8829i 0.0983355 0.371662i
\(111\) −48.4144 −0.436165
\(112\) 41.0241 + 10.4413i 0.366287 + 0.0932262i
\(113\) 197.649i 1.74911i −0.484926 0.874555i \(-0.661153\pi\)
0.484926 0.874555i \(-0.338847\pi\)
\(114\) −9.96207 + 37.6520i −0.0873866 + 0.330281i
\(115\) −109.660 + 45.4226i −0.953564 + 0.394979i
\(116\) 15.5437 124.090i 0.133998 1.06974i
\(117\) −102.131 42.3040i −0.872914 0.361573i
\(118\) −2.92371 21.6809i −0.0247772 0.183737i
\(119\) 47.7666 + 47.7666i 0.401400 + 0.401400i
\(120\) 31.7315 0.299252i 0.264429 0.00249377i
\(121\) 69.3356 + 69.3356i 0.573022 + 0.573022i
\(122\) −71.3806 54.4166i −0.585087 0.446038i
\(123\) −56.8480 23.5472i −0.462179 0.191441i
\(124\) 70.2411 + 39.9670i 0.566460 + 0.322315i
\(125\) −124.444 + 51.5465i −0.995555 + 0.412372i
\(126\) 37.4747 21.7934i 0.297418 0.172963i
\(127\) 75.1216i 0.591509i 0.955264 + 0.295754i \(0.0955710\pi\)
−0.955264 + 0.295754i \(0.904429\pi\)
\(128\) −66.4235 109.416i −0.518934 0.854814i
\(129\) 4.67265 0.0362221
\(130\) −59.8883 102.981i −0.460679 0.792159i
\(131\) −38.2947 92.4517i −0.292326 0.705738i 0.707674 0.706540i \(-0.249745\pi\)
−1.00000 0.000801796i \(0.999745\pi\)
\(132\) 8.51459 14.9642i 0.0645045 0.113365i
\(133\) −21.9423 + 52.9734i −0.164980 + 0.398297i
\(134\) 65.4258 85.8218i 0.488252 0.640462i
\(135\) 48.2221 48.2221i 0.357200 0.357200i
\(136\) −1.92622 204.249i −0.0141634 1.50183i
\(137\) −43.7701 + 43.7701i −0.319489 + 0.319489i −0.848571 0.529082i \(-0.822537\pi\)
0.529082 + 0.848571i \(0.322537\pi\)
\(138\) −47.8897 + 6.45802i −0.347027 + 0.0467972i
\(139\) 41.2233 99.5219i 0.296571 0.715985i −0.703416 0.710779i \(-0.748343\pi\)
0.999986 0.00520627i \(-0.00165722\pi\)
\(140\) 46.3545 + 5.80644i 0.331103 + 0.0414746i
\(141\) 0.103819 + 0.250642i 0.000736306 + 0.00177760i
\(142\) 167.681 + 44.3655i 1.18085 + 0.312433i
\(143\) −64.6343 −0.451988
\(144\) −127.031 32.3315i −0.882159 0.224525i
\(145\) 138.013i 0.951816i
\(146\) −112.455 29.7538i −0.770243 0.203793i
\(147\) −5.81126 + 2.40710i −0.0395324 + 0.0163748i
\(148\) 132.270 + 170.151i 0.893713 + 1.14967i
\(149\) 42.4781 + 17.5950i 0.285088 + 0.118087i 0.520645 0.853773i \(-0.325691\pi\)
−0.235557 + 0.971861i \(0.575691\pi\)
\(150\) −9.82033 + 1.32429i −0.0654688 + 0.00882859i
\(151\) 7.69062 + 7.69062i 0.0509313 + 0.0509313i 0.732114 0.681182i \(-0.238534\pi\)
−0.681182 + 0.732114i \(0.738534\pi\)
\(152\) 159.544 67.8549i 1.04963 0.446414i
\(153\) −147.909 147.909i −0.966725 0.966725i
\(154\) 15.3667 20.1572i 0.0997840 0.130891i
\(155\) 82.3975 + 34.1302i 0.531597 + 0.220195i
\(156\) −12.8469 46.7673i −0.0823522 0.299791i
\(157\) −198.237 + 82.1123i −1.26265 + 0.523008i −0.910723 0.413018i \(-0.864475\pi\)
−0.351931 + 0.936026i \(0.614475\pi\)
\(158\) −68.8095 118.321i −0.435503 0.748867i
\(159\) 55.9653i 0.351983i
\(160\) −87.7432 110.702i −0.548395 0.691889i
\(161\) −71.1407 −0.441868
\(162\) −103.476 + 60.1765i −0.638742 + 0.371460i
\(163\) −27.7685 67.0390i −0.170359 0.411282i 0.815523 0.578724i \(-0.196449\pi\)
−0.985882 + 0.167442i \(0.946449\pi\)
\(164\) 72.5543 + 264.123i 0.442404 + 1.61051i
\(165\) 7.27111 17.5540i 0.0440673 0.106388i
\(166\) 181.932 + 138.695i 1.09598 + 0.835511i
\(167\) −36.9123 + 36.9123i −0.221032 + 0.221032i −0.808933 0.587901i \(-0.799954\pi\)
0.587901 + 0.808933i \(0.299954\pi\)
\(168\) 17.6395 + 7.11236i 0.104997 + 0.0423355i
\(169\) −9.24397 + 9.24397i −0.0546980 + 0.0546980i
\(170\) −30.1250 223.393i −0.177206 1.31408i
\(171\) 67.9443 164.032i 0.397335 0.959251i
\(172\) −12.7658 16.4219i −0.0742199 0.0954764i
\(173\) −26.2498 63.3727i −0.151733 0.366316i 0.829676 0.558246i \(-0.188525\pi\)
−0.981409 + 0.191930i \(0.938525\pi\)
\(174\) 14.3719 54.3190i 0.0825970 0.312178i
\(175\) −14.5882 −0.0833611
\(176\) −75.8534 + 10.9583i −0.430985 + 0.0622629i
\(177\) 9.82920i 0.0555322i
\(178\) 35.3766 133.707i 0.198745 0.751164i
\(179\) −254.465 + 105.403i −1.42159 + 0.588842i −0.955260 0.295768i \(-0.904425\pi\)
−0.466331 + 0.884610i \(0.654425\pi\)
\(180\) −143.536 17.9796i −0.797424 0.0998868i
\(181\) 37.7918 + 15.6539i 0.208794 + 0.0864855i 0.484630 0.874719i \(-0.338954\pi\)
−0.275835 + 0.961205i \(0.588954\pi\)
\(182\) −9.54213 70.7601i −0.0524293 0.388792i
\(183\) −28.5155 28.5155i −0.155822 0.155822i
\(184\) 153.533 + 150.664i 0.834417 + 0.818826i
\(185\) 168.177 + 168.177i 0.909063 + 0.909063i
\(186\) 28.8757 + 22.0133i 0.155246 + 0.118351i
\(187\) −112.992 46.8026i −0.604233 0.250282i
\(188\) 0.597238 1.04963i 0.00317680 0.00558314i
\(189\) 37.7626 15.6418i 0.199802 0.0827607i
\(190\) 165.397 96.1863i 0.870509 0.506244i
\(191\) 370.891i 1.94184i 0.239409 + 0.970919i \(0.423046\pi\)
−0.239409 + 0.970919i \(0.576954\pi\)
\(192\) −23.0059 52.7070i −0.119823 0.274516i
\(193\) 173.819 0.900617 0.450308 0.892873i \(-0.351314\pi\)
0.450308 + 0.892873i \(0.351314\pi\)
\(194\) 141.081 + 242.596i 0.727224 + 1.25049i
\(195\) −20.4825 49.4491i −0.105038 0.253585i
\(196\) 24.3362 + 13.8473i 0.124165 + 0.0706494i
\(197\) 64.4972 155.710i 0.327397 0.790406i −0.671387 0.741107i \(-0.734301\pi\)
0.998784 0.0492994i \(-0.0156988\pi\)
\(198\) −47.5830 + 62.4167i −0.240318 + 0.315236i
\(199\) −1.38471 + 1.38471i −0.00695836 + 0.00695836i −0.710577 0.703619i \(-0.751566\pi\)
0.703619 + 0.710577i \(0.251566\pi\)
\(200\) 31.4836 + 30.8953i 0.157418 + 0.154477i
\(201\) 34.2846 34.2846i 0.170570 0.170570i
\(202\) 81.2521 10.9570i 0.402238 0.0542426i
\(203\) 31.6553 76.4226i 0.155937 0.376466i
\(204\) 11.4063 91.0597i 0.0559132 0.446371i
\(205\) 115.677 + 279.268i 0.564277 + 1.36229i
\(206\) −378.141 100.050i −1.83564 0.485678i
\(207\) 220.287 1.06419
\(208\) −129.265 + 172.920i −0.621464 + 0.831346i
\(209\) 103.809i 0.496693i
\(210\) 20.2911 + 5.36869i 0.0966245 + 0.0255652i
\(211\) 15.7733 6.53352i 0.0747551 0.0309646i −0.344993 0.938605i \(-0.612119\pi\)
0.419748 + 0.907641i \(0.362119\pi\)
\(212\) 196.689 152.899i 0.927778 0.721221i
\(213\) 71.9977 + 29.8224i 0.338017 + 0.140011i
\(214\) 360.745 48.6471i 1.68572 0.227323i
\(215\) −16.2314 16.2314i −0.0754947 0.0754947i
\(216\) −114.624 46.2174i −0.530668 0.213969i
\(217\) 37.7981 + 37.7981i 0.174185 + 0.174185i
\(218\) 107.552 141.080i 0.493356 0.647156i
\(219\) −48.2853 20.0004i −0.220481 0.0913262i
\(220\) −81.5581 + 22.4039i −0.370718 + 0.101836i
\(221\) −318.294 + 131.842i −1.44024 + 0.596568i
\(222\) 48.6777 + 83.7035i 0.219269 + 0.377043i
\(223\) 54.6541i 0.245085i −0.992463 0.122543i \(-0.960895\pi\)
0.992463 0.122543i \(-0.0391049\pi\)
\(224\) −23.1953 81.4247i −0.103550 0.363503i
\(225\) 45.1722 0.200765
\(226\) −341.716 + 198.725i −1.51202 + 0.879313i
\(227\) −83.2494 200.982i −0.366737 0.885382i −0.994280 0.106801i \(-0.965939\pi\)
0.627543 0.778582i \(-0.284061\pi\)
\(228\) 75.1128 20.6334i 0.329442 0.0904974i
\(229\) −9.36982 + 22.6207i −0.0409162 + 0.0987805i −0.943017 0.332746i \(-0.892025\pi\)
0.902100 + 0.431526i \(0.142025\pi\)
\(230\) 188.787 + 143.921i 0.820815 + 0.625744i
\(231\) 8.05251 8.05251i 0.0348594 0.0348594i
\(232\) −230.167 + 97.8915i −0.992101 + 0.421946i
\(233\) −25.7958 + 25.7958i −0.110712 + 0.110712i −0.760293 0.649581i \(-0.774944\pi\)
0.649581 + 0.760293i \(0.274944\pi\)
\(234\) 29.5471 + 219.108i 0.126270 + 0.936360i
\(235\) 0.510016 1.23129i 0.00217028 0.00523952i
\(236\) −34.5445 + 26.8537i −0.146375 + 0.113787i
\(237\) −23.5336 56.8152i −0.0992980 0.239727i
\(238\) 34.5572 130.610i 0.145198 0.548782i
\(239\) 452.784 1.89450 0.947248 0.320502i \(-0.103852\pi\)
0.947248 + 0.320502i \(0.103852\pi\)
\(240\) −32.4215 54.5597i −0.135090 0.227332i
\(241\) 234.751i 0.974071i 0.873382 + 0.487035i \(0.161922\pi\)
−0.873382 + 0.487035i \(0.838078\pi\)
\(242\) 50.1615 189.587i 0.207279 0.783418i
\(243\) −178.143 + 73.7894i −0.733100 + 0.303660i
\(244\) −22.3119 + 178.122i −0.0914423 + 0.730010i
\(245\) 28.5481 + 11.8250i 0.116523 + 0.0482653i
\(246\) 16.4465 + 121.960i 0.0668557 + 0.495772i
\(247\) −206.777 206.777i −0.837153 0.837153i
\(248\) −1.52424 161.624i −0.00614612 0.651710i
\(249\) 72.6792 + 72.6792i 0.291884 + 0.291884i
\(250\) 214.240 + 163.325i 0.856960 + 0.653299i
\(251\) 287.832 + 119.224i 1.14674 + 0.474995i 0.873439 0.486933i \(-0.161885\pi\)
0.273301 + 0.961929i \(0.411885\pi\)
\(252\) −75.3571 42.8780i −0.299036 0.170151i
\(253\) 118.994 49.2889i 0.470332 0.194818i
\(254\) 129.878 75.5302i 0.511329 0.297363i
\(255\) 101.277i 0.397164i
\(256\) −122.385 + 224.851i −0.478065 + 0.878324i
\(257\) −99.8626 −0.388571 −0.194285 0.980945i \(-0.562239\pi\)
−0.194285 + 0.980945i \(0.562239\pi\)
\(258\) −4.69807 8.07854i −0.0182096 0.0313122i
\(259\) 54.5514 + 131.699i 0.210623 + 0.508489i
\(260\) −117.829 + 207.082i −0.453189 + 0.796468i
\(261\) −98.0204 + 236.642i −0.375557 + 0.906675i
\(262\) −121.337 + 159.162i −0.463116 + 0.607490i
\(263\) 304.367 304.367i 1.15729 1.15729i 0.172231 0.985057i \(-0.444902\pi\)
0.985057 0.172231i \(-0.0550976\pi\)
\(264\) −34.4325 + 0.324724i −0.130426 + 0.00123002i
\(265\) 194.406 194.406i 0.733609 0.733609i
\(266\) 113.647 15.3256i 0.427246 0.0576149i
\(267\) 23.7801 57.4103i 0.0890641 0.215020i
\(268\) −214.159 26.8259i −0.799101 0.100097i
\(269\) 152.192 + 367.424i 0.565769 + 1.36589i 0.905092 + 0.425217i \(0.139802\pi\)
−0.339323 + 0.940670i \(0.610198\pi\)
\(270\) −131.855 34.8867i −0.488353 0.129210i
\(271\) 79.5484 0.293537 0.146768 0.989171i \(-0.453113\pi\)
0.146768 + 0.989171i \(0.453113\pi\)
\(272\) −351.190 + 208.691i −1.29114 + 0.767245i
\(273\) 32.0796i 0.117508i
\(274\) 119.682 + 31.6658i 0.436796 + 0.115569i
\(275\) 24.4010 10.1072i 0.0887310 0.0367536i
\(276\) 59.3155 + 76.3034i 0.214911 + 0.276461i
\(277\) −10.6248 4.40094i −0.0383567 0.0158879i 0.363423 0.931624i \(-0.381608\pi\)
−0.401779 + 0.915737i \(0.631608\pi\)
\(278\) −213.511 + 28.7923i −0.768025 + 0.103570i
\(279\) −117.041 117.041i −0.419504 0.419504i
\(280\) −36.5679 85.9802i −0.130600 0.307072i
\(281\) −141.000 141.000i −0.501778 0.501778i 0.410212 0.911990i \(-0.365455\pi\)
−0.911990 + 0.410212i \(0.865455\pi\)
\(282\) 0.328950 0.431498i 0.00116649 0.00153013i
\(283\) −44.3666 18.3773i −0.156773 0.0649373i 0.302917 0.953017i \(-0.402039\pi\)
−0.459690 + 0.888080i \(0.652039\pi\)
\(284\) −91.8896 334.510i −0.323555 1.17785i
\(285\) 79.4199 32.8968i 0.278666 0.115427i
\(286\) 64.9859 + 111.746i 0.227224 + 0.390721i
\(287\) 181.172i 0.631263i
\(288\) 71.8240 + 252.131i 0.249389 + 0.875455i
\(289\) −362.899 −1.25571
\(290\) −238.611 + 138.764i −0.822797 + 0.478497i
\(291\) 48.2514 + 116.489i 0.165813 + 0.400307i
\(292\) 61.6259 + 224.340i 0.211048 + 0.768286i
\(293\) −25.9248 + 62.5879i −0.0884804 + 0.213611i −0.961925 0.273312i \(-0.911881\pi\)
0.873445 + 0.486923i \(0.161881\pi\)
\(294\) 10.0045 + 7.62688i 0.0340289 + 0.0259418i
\(295\) −34.1436 + 34.1436i −0.115741 + 0.115741i
\(296\) 161.185 399.757i 0.544545 1.35053i
\(297\) −52.3266 + 52.3266i −0.176184 + 0.176184i
\(298\) −12.2892 91.1311i −0.0412389 0.305809i
\(299\) 138.845 335.202i 0.464366 1.12108i
\(300\) 12.1633 + 15.6469i 0.0405444 + 0.0521562i
\(301\) −5.26496 12.7107i −0.0174916 0.0422284i
\(302\) 5.56385 21.0288i 0.0184233 0.0696317i
\(303\) 36.8362 0.121572
\(304\) −277.726 207.611i −0.913572 0.682931i
\(305\) 198.108i 0.649535i
\(306\) −107.006 + 404.433i −0.349693 + 1.32168i
\(307\) 92.0170 38.1147i 0.299730 0.124152i −0.227750 0.973720i \(-0.573137\pi\)
0.527480 + 0.849568i \(0.323137\pi\)
\(308\) −50.3001 6.30068i −0.163312 0.0204568i
\(309\) −162.364 67.2532i −0.525449 0.217648i
\(310\) −23.8381 176.773i −0.0768972 0.570235i
\(311\) −86.5020 86.5020i −0.278142 0.278142i 0.554225 0.832367i \(-0.313015\pi\)
−0.832367 + 0.554225i \(0.813015\pi\)
\(312\) −67.9392 + 69.2328i −0.217754 + 0.221900i
\(313\) 232.344 + 232.344i 0.742314 + 0.742314i 0.973023 0.230709i \(-0.0741044\pi\)
−0.230709 + 0.973023i \(0.574104\pi\)
\(314\) 341.279 + 260.172i 1.08688 + 0.828574i
\(315\) −88.3989 36.6160i −0.280632 0.116241i
\(316\) −135.381 + 237.929i −0.428422 + 0.752941i
\(317\) −18.0052 + 7.45801i −0.0567989 + 0.0235269i −0.410902 0.911680i \(-0.634786\pi\)
0.354103 + 0.935206i \(0.384786\pi\)
\(318\) 96.7584 56.2697i 0.304272 0.176949i
\(319\) 149.761i 0.469470i
\(320\) −103.172 + 263.004i −0.322414 + 0.821886i
\(321\) 163.546 0.509490
\(322\) 71.5277 + 122.995i 0.222136 + 0.381972i
\(323\) −211.750 511.210i −0.655573 1.58269i
\(324\) 208.078 + 118.396i 0.642216 + 0.365420i
\(325\) 28.4718 68.7370i 0.0876055 0.211498i
\(326\) −87.9841 + 115.413i −0.269890 + 0.354026i
\(327\) 56.3594 56.3594i 0.172353 0.172353i
\(328\) 383.693 390.999i 1.16980 1.19207i
\(329\) 0.564826 0.564826i 0.00171680 0.00171680i
\(330\) −37.6598 + 5.07849i −0.114120 + 0.0153894i
\(331\) 178.431 430.771i 0.539067 1.30142i −0.386308 0.922370i \(-0.626250\pi\)
0.925375 0.379053i \(-0.123750\pi\)
\(332\) 56.8677 453.991i 0.171288 1.36744i
\(333\) −168.918 407.804i −0.507262 1.22464i
\(334\) 100.931 + 26.7046i 0.302188 + 0.0799538i
\(335\) −238.188 −0.711010
\(336\) −5.43885 37.6479i −0.0161871 0.112047i
\(337\) 32.6233i 0.0968051i −0.998828 0.0484025i \(-0.984587\pi\)
0.998828 0.0484025i \(-0.0154130\pi\)
\(338\) 25.2761 + 6.68763i 0.0747815 + 0.0197859i
\(339\) −164.085 + 67.9661i −0.484026 + 0.200490i
\(340\) −355.936 + 276.692i −1.04687 + 0.813799i
\(341\) −89.4111 37.0353i −0.262203 0.108608i
\(342\) −351.908 + 47.4555i −1.02897 + 0.138759i
\(343\) 13.0958 + 13.0958i 0.0381802 + 0.0381802i
\(344\) −15.5566 + 38.5821i −0.0452227 + 0.112157i
\(345\) 75.4179 + 75.4179i 0.218603 + 0.218603i
\(346\) −83.1724 + 109.101i −0.240383 + 0.315320i
\(347\) 484.922 + 200.861i 1.39747 + 0.578851i 0.949094 0.314993i \(-0.102002\pi\)
0.448377 + 0.893845i \(0.352002\pi\)
\(348\) −108.362 + 29.7670i −0.311385 + 0.0855373i
\(349\) −445.236 + 184.423i −1.27575 + 0.528432i −0.914707 0.404118i \(-0.867579\pi\)
−0.361041 + 0.932550i \(0.617579\pi\)
\(350\) 14.6675 + 25.2215i 0.0419073 + 0.0720614i
\(351\) 208.459i 0.593899i
\(352\) 95.2118 + 120.125i 0.270488 + 0.341264i
\(353\) 34.9060 0.0988838 0.0494419 0.998777i \(-0.484256\pi\)
0.0494419 + 0.998777i \(0.484256\pi\)
\(354\) −16.9937 + 9.88267i −0.0480048 + 0.0279171i
\(355\) −146.504 353.692i −0.412687 0.996315i
\(356\) −266.735 + 73.2719i −0.749256 + 0.205820i
\(357\) 23.2293 56.0804i 0.0650680 0.157088i
\(358\) 438.080 + 333.968i 1.22369 + 0.932871i
\(359\) 192.166 192.166i 0.535281 0.535281i −0.386858 0.922139i \(-0.626440\pi\)
0.922139 + 0.386858i \(0.126440\pi\)
\(360\) 113.232 + 266.237i 0.314534 + 0.739548i
\(361\) 76.8373 76.8373i 0.212846 0.212846i
\(362\) −10.9334 81.0772i −0.0302028 0.223970i
\(363\) 33.7185 81.4036i 0.0928884 0.224252i
\(364\) −112.743 + 87.6424i −0.309734 + 0.240776i
\(365\) 98.2531 + 237.204i 0.269186 + 0.649874i
\(366\) −20.6298 + 77.9711i −0.0563656 + 0.213036i
\(367\) −293.297 −0.799174 −0.399587 0.916695i \(-0.630846\pi\)
−0.399587 + 0.916695i \(0.630846\pi\)
\(368\) 106.115 416.926i 0.288355 1.13295i
\(369\) 560.999i 1.52032i
\(370\) 121.669 459.852i 0.328835 1.24284i
\(371\) 152.239 63.0595i 0.410348 0.169972i
\(372\) 9.02589 72.0563i 0.0242632 0.193700i
\(373\) 416.935 + 172.700i 1.11779 + 0.463003i 0.863613 0.504155i \(-0.168196\pi\)
0.254175 + 0.967158i \(0.418196\pi\)
\(374\) 32.6892 + 242.408i 0.0874042 + 0.648150i
\(375\) 85.5858 + 85.5858i 0.228229 + 0.228229i
\(376\) −2.41519 + 0.0227771i −0.00642338 + 6.05773e-5i
\(377\) 298.308 + 298.308i 0.791269 + 0.791269i
\(378\) −65.0110 49.5608i −0.171987 0.131113i
\(379\) 204.554 + 84.7289i 0.539719 + 0.223559i 0.635854 0.771809i \(-0.280648\pi\)
−0.0961347 + 0.995368i \(0.530648\pi\)
\(380\) −332.593 189.245i −0.875244 0.498012i
\(381\) 62.3645 25.8322i 0.163686 0.0678011i
\(382\) 641.233 372.909i 1.67862 0.976200i
\(383\) 160.267i 0.418451i −0.977867 0.209226i \(-0.932906\pi\)
0.977867 0.209226i \(-0.0670943\pi\)
\(384\) −67.9940 + 92.7686i −0.177068 + 0.241585i
\(385\) −55.9439 −0.145309
\(386\) −174.765 300.516i −0.452758 0.778538i
\(387\) 16.3029 + 39.3587i 0.0421264 + 0.101702i
\(388\) 277.575 487.831i 0.715399 1.25730i
\(389\) 72.3872 174.758i 0.186085 0.449250i −0.803114 0.595825i \(-0.796825\pi\)
0.989200 + 0.146575i \(0.0468251\pi\)
\(390\) −64.8986 + 85.1302i −0.166407 + 0.218283i
\(391\) 485.450 485.450i 1.24156 1.24156i
\(392\) −0.528098 55.9975i −0.00134719 0.142851i
\(393\) −63.5830 + 63.5830i −0.161789 + 0.161789i
\(394\) −334.055 + 45.0479i −0.847855 + 0.114335i
\(395\) −115.610 + 279.107i −0.292683 + 0.706600i
\(396\) 155.754 + 19.5100i 0.393318 + 0.0492677i
\(397\) −98.0919 236.815i −0.247083 0.596511i 0.750871 0.660449i \(-0.229634\pi\)
−0.997954 + 0.0639381i \(0.979634\pi\)
\(398\) 3.78628 + 1.00178i 0.00951326 + 0.00251705i
\(399\) 51.5228 0.129130
\(400\) 21.7600 85.4954i 0.0544001 0.213738i
\(401\) 515.282i 1.28499i 0.766289 + 0.642496i \(0.222101\pi\)
−0.766289 + 0.642496i \(0.777899\pi\)
\(402\) −93.7457 24.8035i −0.233198 0.0617002i
\(403\) −251.868 + 104.327i −0.624983 + 0.258877i
\(404\) −100.638 129.460i −0.249103 0.320446i
\(405\) 244.090 + 101.105i 0.602691 + 0.249643i
\(406\) −163.955 + 22.1096i −0.403829 + 0.0544571i
\(407\) −182.492 182.492i −0.448382 0.448382i
\(408\) −168.901 + 71.8347i −0.413974 + 0.176066i
\(409\) 119.731 + 119.731i 0.292740 + 0.292740i 0.838162 0.545422i \(-0.183631\pi\)
−0.545422 + 0.838162i \(0.683631\pi\)
\(410\) 366.521 480.781i 0.893953 1.17264i
\(411\) 51.3883 + 21.2857i 0.125032 + 0.0517901i
\(412\) 207.222 + 754.361i 0.502967 + 1.83097i
\(413\) −26.7378 + 11.0752i −0.0647404 + 0.0268164i
\(414\) −221.485 380.853i −0.534988 0.919936i
\(415\) 504.930i 1.21670i
\(416\) 428.929 + 49.6247i 1.03108 + 0.119290i
\(417\) −96.7966 −0.232126
\(418\) −179.475 + 104.374i −0.429366 + 0.249697i
\(419\) 310.756 + 750.231i 0.741661 + 1.79053i 0.598990 + 0.800757i \(0.295569\pi\)
0.142671 + 0.989770i \(0.454431\pi\)
\(420\) −11.1196 40.4792i −0.0264753 0.0963791i
\(421\) 312.840 755.262i 0.743087 1.79397i 0.150251 0.988648i \(-0.451992\pi\)
0.592836 0.805323i \(-0.298008\pi\)
\(422\) −27.1549 20.7014i −0.0643482 0.0490555i
\(423\) −1.74898 + 1.74898i −0.00413471 + 0.00413471i
\(424\) −462.106 186.325i −1.08987 0.439445i
\(425\) 99.5468 99.5468i 0.234228 0.234228i
\(426\) −20.8294 154.461i −0.0488953 0.362585i
\(427\) −45.4389 + 109.699i −0.106414 + 0.256907i
\(428\) −446.813 574.780i −1.04396 1.34294i
\(429\) 22.2259 + 53.6581i 0.0518087 + 0.125077i
\(430\) −11.7427 + 44.3820i −0.0273087 + 0.103214i
\(431\) −510.423 −1.18428 −0.592138 0.805837i \(-0.701716\pi\)
−0.592138 + 0.805837i \(0.701716\pi\)
\(432\) 35.3426 + 244.643i 0.0818116 + 0.566302i
\(433\) 415.076i 0.958604i −0.877650 0.479302i \(-0.840890\pi\)
0.877650 0.479302i \(-0.159110\pi\)
\(434\) 27.3454 103.353i 0.0630077 0.238140i
\(435\) −114.576 + 47.4589i −0.263393 + 0.109101i
\(436\) −352.050 44.0983i −0.807453 0.101143i
\(437\) 538.367 + 222.999i 1.23196 + 0.510295i
\(438\) 13.9693 + 103.590i 0.0318933 + 0.236506i
\(439\) −558.451 558.451i −1.27210 1.27210i −0.944985 0.327114i \(-0.893924\pi\)
−0.327114 0.944985i \(-0.606076\pi\)
\(440\) 120.736 + 118.480i 0.274400 + 0.269272i
\(441\) −40.5511 40.5511i −0.0919525 0.0919525i
\(442\) 547.966 + 417.739i 1.23974 + 0.945111i
\(443\) −2.02208 0.837574i −0.00456452 0.00189069i 0.380400 0.924822i \(-0.375786\pi\)
−0.384965 + 0.922931i \(0.625786\pi\)
\(444\) 95.7724 168.318i 0.215704 0.379094i
\(445\) −282.031 + 116.821i −0.633777 + 0.262519i
\(446\) −94.4913 + 54.9514i −0.211864 + 0.123209i
\(447\) 41.3149i 0.0924271i
\(448\) −117.454 + 121.970i −0.262173 + 0.272254i
\(449\) −524.185 −1.16745 −0.583725 0.811951i \(-0.698405\pi\)
−0.583725 + 0.811951i \(0.698405\pi\)
\(450\) −45.4180 78.0982i −0.100929 0.173552i
\(451\) −125.523 303.039i −0.278322 0.671928i
\(452\) 687.150 + 390.987i 1.52024 + 0.865015i
\(453\) 3.74001 9.02919i 0.00825610 0.0199320i
\(454\) −263.775 + 346.005i −0.581002 + 0.762125i
\(455\) −111.435 + 111.435i −0.244911 + 0.244911i
\(456\) −111.194 109.117i −0.243847 0.239291i
\(457\) −438.185 + 438.185i −0.958830 + 0.958830i −0.999185 0.0403551i \(-0.987151\pi\)
0.0403551 + 0.999185i \(0.487151\pi\)
\(458\) 48.5298 6.54433i 0.105960 0.0142889i
\(459\) −150.948 + 364.421i −0.328863 + 0.793944i
\(460\) 59.0106 471.098i 0.128284 1.02413i
\(461\) −51.5226 124.387i −0.111763 0.269819i 0.858095 0.513491i \(-0.171648\pi\)
−0.969858 + 0.243672i \(0.921648\pi\)
\(462\) −22.0183 5.82566i −0.0476587 0.0126097i
\(463\) 37.5531 0.0811082 0.0405541 0.999177i \(-0.487088\pi\)
0.0405541 + 0.999177i \(0.487088\pi\)
\(464\) 400.664 + 299.512i 0.863500 + 0.645500i
\(465\) 80.1412i 0.172347i
\(466\) 70.5346 + 18.6622i 0.151362 + 0.0400477i
\(467\) 333.417 138.106i 0.713954 0.295729i 0.00401440 0.999992i \(-0.498722\pi\)
0.709940 + 0.704262i \(0.248722\pi\)
\(468\) 349.108 271.384i 0.745957 0.579881i
\(469\) −131.893 54.6318i −0.281222 0.116486i
\(470\) −2.64156 + 0.356220i −0.00562035 + 0.000757914i
\(471\) 136.336 + 136.336i 0.289461 + 0.289461i
\(472\) 81.1597 + 32.7242i 0.171948 + 0.0693310i
\(473\) 17.6130 + 17.6130i 0.0372367 + 0.0372367i
\(474\) −74.5661 + 97.8115i −0.157312 + 0.206353i
\(475\) 110.398 + 45.7284i 0.232417 + 0.0962703i
\(476\) −260.557 + 71.5746i −0.547388 + 0.150367i
\(477\) −471.408 + 195.263i −0.988276 + 0.409357i
\(478\) −455.247 782.819i −0.952401 1.63770i
\(479\) 388.188i 0.810413i 0.914225 + 0.405206i \(0.132800\pi\)
−0.914225 + 0.405206i \(0.867200\pi\)
\(480\) −61.7304 + 110.910i −0.128605 + 0.231063i
\(481\) −727.009 −1.51145
\(482\) 405.861 236.028i 0.842035 0.489685i
\(483\) 24.4633 + 59.0596i 0.0506486 + 0.122277i
\(484\) −378.211 + 103.894i −0.781428 + 0.214657i
\(485\) 237.037 572.259i 0.488737 1.17992i
\(486\) 306.687 + 233.801i 0.631042 + 0.481072i
\(487\) −553.441 + 553.441i −1.13643 + 1.13643i −0.147343 + 0.989085i \(0.547072\pi\)
−0.989085 + 0.147343i \(0.952928\pi\)
\(488\) 330.389 140.516i 0.677026 0.287943i
\(489\) −46.1056 + 46.1056i −0.0942856 + 0.0942856i
\(490\) −8.25914 61.2460i −0.0168554 0.124992i
\(491\) −308.837 + 745.599i −0.628996 + 1.51853i 0.211875 + 0.977297i \(0.432043\pi\)
−0.840872 + 0.541235i \(0.817957\pi\)
\(492\) 194.320 151.058i 0.394960 0.307028i
\(493\) 305.483 + 737.502i 0.619642 + 1.49595i
\(494\) −149.594 + 565.397i −0.302823 + 1.14453i
\(495\) 173.230 0.349960
\(496\) −277.899 + 165.139i −0.560281 + 0.332941i
\(497\) 229.454i 0.461678i
\(498\) 52.5804 198.729i 0.105583 0.399055i
\(499\) −511.365 + 211.814i −1.02478 + 0.424477i −0.830825 0.556534i \(-0.812131\pi\)
−0.193953 + 0.981011i \(0.562131\pi\)
\(500\) 66.9665 534.613i 0.133933 1.06923i
\(501\) 43.3370 + 17.9508i 0.0865010 + 0.0358299i
\(502\) −83.2716 617.504i −0.165880 1.23009i
\(503\) 208.061 + 208.061i 0.413641 + 0.413641i 0.883005 0.469364i \(-0.155517\pi\)
−0.469364 + 0.883005i \(0.655517\pi\)
\(504\) 1.63525 + 173.396i 0.00324455 + 0.344040i
\(505\) −127.958 127.958i −0.253382 0.253382i
\(506\) −204.857 156.171i −0.404855 0.308639i
\(507\) 10.8529 + 4.49542i 0.0214061 + 0.00886670i
\(508\) −261.168 148.604i −0.514111 0.292528i
\(509\) 189.208 78.3725i 0.371725 0.153974i −0.188997 0.981978i \(-0.560524\pi\)
0.560722 + 0.828004i \(0.310524\pi\)
\(510\) −175.098 + 101.828i −0.343329 + 0.199662i
\(511\) 153.884i 0.301142i
\(512\) 511.795 14.4833i 0.999600 0.0282876i
\(513\) −334.804 −0.652640
\(514\) 100.406 + 172.652i 0.195342 + 0.335900i
\(515\) 330.384 + 797.618i 0.641523 + 1.54877i
\(516\) −9.24336 + 16.2450i −0.0179135 + 0.0314825i
\(517\) −0.553428 + 1.33609i −0.00107046 + 0.00258432i
\(518\) 172.846 226.729i 0.333679 0.437701i
\(519\) −43.5842 + 43.5842i −0.0839772 + 0.0839772i
\(520\) 476.493 4.49369i 0.916333 0.00864171i
\(521\) 0.665308 0.665308i 0.00127698 0.00127698i −0.706468 0.707745i \(-0.749713\pi\)
0.707745 + 0.706468i \(0.249713\pi\)
\(522\) 507.684 68.4621i 0.972575 0.131154i
\(523\) 90.6904 218.946i 0.173404 0.418635i −0.813153 0.582050i \(-0.802251\pi\)
0.986557 + 0.163415i \(0.0522509\pi\)
\(524\) 397.172 + 49.7505i 0.757962 + 0.0949436i
\(525\) 5.01647 + 12.1108i 0.00955517 + 0.0230682i
\(526\) −832.242 220.197i −1.58221 0.418625i
\(527\) −515.853 −0.978848
\(528\) 35.1812 + 59.2038i 0.0666310 + 0.112128i
\(529\) 193.999i 0.366728i
\(530\) −531.573 140.645i −1.00297 0.265368i
\(531\) 82.7934 34.2942i 0.155920 0.0645841i
\(532\) −140.762 181.076i −0.264590 0.340368i
\(533\) −853.653 353.595i −1.60160 0.663404i
\(534\) −123.166 + 16.6092i −0.230648 + 0.0311033i
\(535\) −568.109 568.109i −1.06189 1.06189i
\(536\) 168.945 + 397.231i 0.315195 + 0.741103i
\(537\) 175.007 + 175.007i 0.325897 + 0.325897i
\(538\) 482.218 632.546i 0.896317 1.17574i
\(539\) −30.9780 12.8315i −0.0574732 0.0238062i
\(540\) 72.2571 + 263.041i 0.133810 + 0.487113i
\(541\) 329.527 136.495i 0.609108 0.252301i −0.0567391 0.998389i \(-0.518070\pi\)
0.665847 + 0.746088i \(0.268070\pi\)
\(542\) −79.9812 137.531i −0.147567 0.253748i
\(543\) 36.7569i 0.0676923i
\(544\) 713.905 + 397.346i 1.31233 + 0.730415i
\(545\) −391.551 −0.718441
\(546\) −55.4623 + 32.2541i −0.101579 + 0.0590734i
\(547\) 4.56056 + 11.0102i 0.00833741 + 0.0201283i 0.927993 0.372597i \(-0.121532\pi\)
−0.919656 + 0.392725i \(0.871532\pi\)
\(548\) −65.5861 238.756i −0.119683 0.435687i
\(549\) 140.701 339.683i 0.256287 0.618730i
\(550\) −42.0082 32.0247i −0.0763785 0.0582267i
\(551\) −479.111 + 479.111i −0.869531 + 0.869531i
\(552\) 72.2826 179.269i 0.130947 0.324763i
\(553\) −128.034 + 128.034i −0.231527 + 0.231527i
\(554\) 3.07382 + 22.7941i 0.00554842 + 0.0411446i
\(555\) 81.7857 197.448i 0.147362 0.355762i
\(556\) 264.451 + 340.190i 0.475632 + 0.611852i
\(557\) 10.2476 + 24.7400i 0.0183979 + 0.0444165i 0.932812 0.360365i \(-0.117348\pi\)
−0.914414 + 0.404781i \(0.867348\pi\)
\(558\) −84.6747 + 320.031i −0.151747 + 0.573532i
\(559\) 70.1664 0.125521
\(560\) −111.884 + 149.670i −0.199793 + 0.267268i
\(561\) 109.897i 0.195896i
\(562\) −102.007 + 385.541i −0.181508 + 0.686015i
\(563\) 973.853 403.383i 1.72976 0.716488i 0.730313 0.683113i \(-0.239374\pi\)
0.999443 0.0333758i \(-0.0106258\pi\)
\(564\) −1.07676 0.134876i −0.00190914 0.000239142i
\(565\) 806.073 + 333.886i 1.42668 + 0.590949i
\(566\) 12.8355 + 95.1826i 0.0226777 + 0.168167i
\(567\) 111.971 + 111.971i 0.197479 + 0.197479i
\(568\) −485.944 + 495.197i −0.855536 + 0.871826i
\(569\) 178.840 + 178.840i 0.314306 + 0.314306i 0.846575 0.532269i \(-0.178660\pi\)
−0.532269 + 0.846575i \(0.678660\pi\)
\(570\) −136.727 104.233i −0.239872 0.182865i
\(571\) 862.975 + 357.456i 1.51134 + 0.626018i 0.975834 0.218513i \(-0.0701207\pi\)
0.535507 + 0.844531i \(0.320121\pi\)
\(572\) 127.858 224.708i 0.223529 0.392846i
\(573\) 307.906 127.539i 0.537358 0.222581i
\(574\) 313.229 182.158i 0.545695 0.317348i
\(575\) 148.259i 0.257842i
\(576\) 363.694 377.679i 0.631414 0.655693i
\(577\) 831.605 1.44126 0.720628 0.693322i \(-0.243853\pi\)
0.720628 + 0.693322i \(0.243853\pi\)
\(578\) 364.873 + 627.416i 0.631268 + 1.08549i
\(579\) −59.7715 144.301i −0.103232 0.249225i
\(580\) 479.818 + 273.016i 0.827273 + 0.470716i
\(581\) 115.813 279.597i 0.199334 0.481234i
\(582\) 152.884 200.545i 0.262688 0.344579i
\(583\) −210.954 + 210.954i −0.361842 + 0.361842i
\(584\) 325.899 332.105i 0.558047 0.568673i
\(585\) 345.057 345.057i 0.589840 0.589840i
\(586\) 134.274 18.1071i 0.229136 0.0308995i
\(587\) −392.678 + 948.008i −0.668957 + 1.61500i 0.114402 + 0.993435i \(0.463505\pi\)
−0.783359 + 0.621570i \(0.786495\pi\)
\(588\) 3.12718 24.9652i 0.00531833 0.0424577i
\(589\) −167.559 404.524i −0.284481 0.686799i
\(590\) 93.3602 + 24.7015i 0.158238 + 0.0418670i
\(591\) −151.446 −0.256254
\(592\) −853.202 + 123.259i −1.44122 + 0.208208i
\(593\) 812.822i 1.37069i 0.728217 + 0.685347i \(0.240349\pi\)
−0.728217 + 0.685347i \(0.759651\pi\)
\(594\) 143.079 + 37.8562i 0.240873 + 0.0637309i
\(595\) −275.498 + 114.115i −0.463021 + 0.191790i
\(596\) −145.200 + 112.874i −0.243625 + 0.189385i
\(597\) 1.62573 + 0.673398i 0.00272316 + 0.00112797i
\(598\) −719.131 + 96.9762i −1.20256 + 0.162168i
\(599\) 81.6751 + 81.6751i 0.136352 + 0.136352i 0.771989 0.635636i \(-0.219262\pi\)
−0.635636 + 0.771989i \(0.719262\pi\)
\(600\) 14.8224 36.7611i 0.0247039 0.0612685i
\(601\) 835.585 + 835.585i 1.39032 + 1.39032i 0.824582 + 0.565742i \(0.191410\pi\)
0.565742 + 0.824582i \(0.308590\pi\)
\(602\) −16.6820 + 21.8825i −0.0277109 + 0.0363496i
\(603\) 408.406 + 169.167i 0.677290 + 0.280543i
\(604\) −41.9507 + 11.5238i −0.0694548 + 0.0190792i
\(605\) −399.899 + 165.644i −0.660990 + 0.273791i
\(606\) −37.0366 63.6861i −0.0611165 0.105093i
\(607\) 808.461i 1.33190i 0.745998 + 0.665948i \(0.231973\pi\)
−0.745998 + 0.665948i \(0.768027\pi\)
\(608\) −79.7019 + 688.901i −0.131089 + 1.13306i
\(609\) −74.3299 −0.122052
\(610\) 342.509 199.186i 0.561490 0.326534i
\(611\) 1.55899 + 3.76373i 0.00255154 + 0.00615996i
\(612\) 806.812 221.630i 1.31832 0.362141i
\(613\) 100.376 242.329i 0.163745 0.395317i −0.820615 0.571481i \(-0.806369\pi\)
0.984361 + 0.176165i \(0.0563691\pi\)
\(614\) −158.414 120.766i −0.258003 0.196687i
\(615\) 192.065 192.065i 0.312301 0.312301i
\(616\) 39.6805 + 93.2987i 0.0644164 + 0.151459i
\(617\) −423.912 + 423.912i −0.687053 + 0.687053i −0.961580 0.274527i \(-0.911479\pi\)
0.274527 + 0.961580i \(0.411479\pi\)
\(618\) 46.9728 + 348.329i 0.0760078 + 0.563640i
\(619\) 247.099 596.550i 0.399191 0.963733i −0.588667 0.808375i \(-0.700347\pi\)
0.987858 0.155357i \(-0.0496528\pi\)
\(620\) −281.655 + 218.948i −0.454282 + 0.353142i
\(621\) −158.967 383.779i −0.255985 0.618002i
\(622\) −62.5807 + 236.526i −0.100612 + 0.380267i
\(623\) −182.964 −0.293683
\(624\) 188.005 + 47.8505i 0.301290 + 0.0766835i
\(625\) 456.752i 0.730804i
\(626\) 168.092 635.308i 0.268517 1.01487i
\(627\) −86.1800 + 35.6969i −0.137448 + 0.0569329i
\(628\) 106.676 851.624i 0.169866 1.35609i
\(629\) −1270.93 526.438i −2.02056 0.836944i
\(630\) 25.5744 + 189.648i 0.0405943 + 0.301029i
\(631\) 381.014 + 381.014i 0.603826 + 0.603826i 0.941326 0.337500i \(-0.109581\pi\)
−0.337500 + 0.941326i \(0.609581\pi\)
\(632\) 547.473 5.16308i 0.866255 0.00816943i
\(633\) −10.8480 10.8480i −0.0171374 0.0171374i
\(634\) 30.9973 + 23.6307i 0.0488917 + 0.0372723i
\(635\) −306.368 126.902i −0.482469 0.199845i
\(636\) −194.569 110.710i −0.305927 0.174072i
\(637\) −87.2642 + 36.1460i −0.136992 + 0.0567441i
\(638\) 258.921 150.576i 0.405833 0.236012i
\(639\) 710.502i 1.11190i
\(640\) 558.440 86.0595i 0.872563 0.134468i
\(641\) 599.749 0.935646 0.467823 0.883822i \(-0.345039\pi\)
0.467823 + 0.883822i \(0.345039\pi\)
\(642\) −164.436 282.755i −0.256131 0.440428i
\(643\) 358.249 + 864.888i 0.557152 + 1.34508i 0.912012 + 0.410164i \(0.134528\pi\)
−0.354860 + 0.934919i \(0.615472\pi\)
\(644\) 140.729 247.328i 0.218524 0.384050i
\(645\) −7.89345 + 19.0565i −0.0122379 + 0.0295449i
\(646\) −670.928 + 880.085i −1.03859 + 1.36236i
\(647\) −49.6972 + 49.6972i −0.0768117 + 0.0768117i −0.744469 0.667657i \(-0.767297\pi\)
0.667657 + 0.744469i \(0.267297\pi\)
\(648\) −4.51531 478.786i −0.00696807 0.738867i
\(649\) 37.0499 37.0499i 0.0570876 0.0570876i
\(650\) −147.466 + 19.8860i −0.226871 + 0.0305939i
\(651\) 18.3815 44.3769i 0.0282358 0.0681673i
\(652\) 287.999 + 36.0753i 0.441717 + 0.0553302i
\(653\) −190.695 460.379i −0.292030 0.705022i 0.707970 0.706243i \(-0.249611\pi\)
−0.999999 + 0.00122104i \(0.999611\pi\)
\(654\) −154.106 40.7737i −0.235636 0.0623451i
\(655\) 441.736 0.674406
\(656\) −1061.78 270.240i −1.61856 0.411952i
\(657\) 476.499i 0.725265i
\(658\) −1.54443 0.408629i −0.00234715 0.000621016i
\(659\) 383.261 158.752i 0.581580 0.240898i −0.0724437 0.997373i \(-0.523080\pi\)
0.654023 + 0.756474i \(0.273080\pi\)
\(660\) 46.6448 + 60.0038i 0.0706740 + 0.0909148i
\(661\) −301.062 124.704i −0.455465 0.188660i 0.143143 0.989702i \(-0.454279\pi\)
−0.598608 + 0.801042i \(0.704279\pi\)
\(662\) −924.161 + 124.625i −1.39601 + 0.188255i
\(663\) 218.905 + 218.905i 0.330173 + 0.330173i
\(664\) −842.082 + 358.142i −1.26820 + 0.539371i
\(665\) −178.975 178.975i −0.269135 0.269135i
\(666\) −535.216 + 702.065i −0.803627 + 1.05415i
\(667\) −776.680 321.711i −1.16444 0.482326i
\(668\) −55.3104 201.349i −0.0828000 0.301421i
\(669\) −45.3727 + 18.7940i −0.0678217 + 0.0280927i
\(670\) 239.484 + 411.803i 0.357439 + 0.614632i
\(671\) 214.971i 0.320374i
\(672\) −59.6209 + 47.2559i −0.0887216 + 0.0703213i
\(673\) −355.511 −0.528248 −0.264124 0.964489i \(-0.585083\pi\)
−0.264124 + 0.964489i \(0.585083\pi\)
\(674\) −56.4024 + 32.8008i −0.0836831 + 0.0486658i
\(675\) −32.5979 78.6982i −0.0482931 0.116590i
\(676\) −13.8514 50.4239i −0.0204902 0.0745915i
\(677\) −69.8055 + 168.525i −0.103110 + 0.248930i −0.967012 0.254730i \(-0.918013\pi\)
0.863902 + 0.503660i \(0.168013\pi\)
\(678\) 282.484 + 215.350i 0.416643 + 0.317625i
\(679\) 262.511 262.511i 0.386614 0.386614i
\(680\) 836.244 + 337.180i 1.22977 + 0.495853i
\(681\) −138.224 + 138.224i −0.202972 + 0.202972i
\(682\) 25.8672 + 191.819i 0.0379285 + 0.281260i
\(683\) 166.452 401.851i 0.243707 0.588361i −0.753938 0.656946i \(-0.771848\pi\)
0.997645 + 0.0685841i \(0.0218481\pi\)
\(684\) 435.869 + 560.701i 0.637235 + 0.819738i
\(685\) −104.567 252.447i −0.152653 0.368536i
\(686\) 9.47428 35.8084i 0.0138109 0.0521988i
\(687\) 22.0013 0.0320252
\(688\) 82.3458 11.8962i 0.119689 0.0172910i
\(689\) 840.397i 1.21974i
\(690\) 54.5617 206.218i 0.0790750 0.298867i
\(691\) −364.926 + 151.157i −0.528113 + 0.218752i −0.630777 0.775964i \(-0.717264\pi\)
0.102663 + 0.994716i \(0.467264\pi\)
\(692\) 272.249 + 34.1024i 0.393423 + 0.0492809i
\(693\) 95.9233 + 39.7327i 0.138417 + 0.0573344i
\(694\) −140.291 1040.34i −0.202149 1.49904i
\(695\) 336.242 + 336.242i 0.483801 + 0.483801i
\(696\) 160.416 + 157.418i 0.230482 + 0.226176i
\(697\) −1236.28 1236.28i −1.77372 1.77372i
\(698\) 766.507 + 584.342i 1.09815 + 0.837167i
\(699\) 30.2857 + 12.5447i 0.0433271 + 0.0179467i
\(700\) 28.8581 50.7174i 0.0412258 0.0724534i
\(701\) 876.664 363.126i 1.25059 0.518012i 0.343582 0.939123i \(-0.388360\pi\)
0.907009 + 0.421111i \(0.138360\pi\)
\(702\) 360.404 209.593i 0.513396 0.298565i
\(703\) 1167.65i 1.66095i
\(704\) 111.954 285.390i 0.159026 0.405384i
\(705\) −1.19757 −0.00169868
\(706\) −35.0959 60.3489i −0.0497109 0.0854801i
\(707\) −41.5056 100.203i −0.0587067 0.141730i
\(708\) 34.1723 + 19.4439i 0.0482659 + 0.0274632i
\(709\) −27.2742 + 65.8459i −0.0384686 + 0.0928714i −0.941946 0.335764i \(-0.891006\pi\)
0.903478 + 0.428635i \(0.141006\pi\)
\(710\) −464.196 + 608.906i −0.653798 + 0.857614i
\(711\) 396.457 396.457i 0.557605 0.557605i
\(712\) 394.866 + 387.488i 0.554587 + 0.544224i
\(713\) 384.140 384.140i 0.538766 0.538766i
\(714\) −120.313 + 16.2244i −0.168506 + 0.0227233i
\(715\) 109.186 263.598i 0.152707 0.368668i
\(716\) 136.934 1093.18i 0.191248 1.52679i
\(717\) −155.700 375.893i −0.217155 0.524257i
\(718\) −525.447 139.024i −0.731820 0.193627i
\(719\) −482.081 −0.670489 −0.335244 0.942131i \(-0.608819\pi\)
−0.335244 + 0.942131i \(0.608819\pi\)
\(720\) 346.449 463.453i 0.481179 0.643684i
\(721\) 517.447i 0.717679i
\(722\) −210.099 55.5887i −0.290996 0.0769926i
\(723\) 194.886 80.7243i 0.269551 0.111652i
\(724\) −129.181 + 100.421i −0.178427 + 0.138703i
\(725\) −159.267 65.9705i −0.219678 0.0909938i
\(726\) −174.640 + 23.5506i −0.240552 + 0.0324388i
\(727\) −958.078 958.078i −1.31785 1.31785i −0.915474 0.402378i \(-0.868184\pi\)
−0.402378 0.915474i \(-0.631816\pi\)
\(728\) 264.881 + 106.802i 0.363848 + 0.146706i
\(729\) −258.372 258.372i −0.354420 0.354420i
\(730\) 311.314 408.364i 0.426457 0.559402i
\(731\) 122.663 + 50.8085i 0.167801 + 0.0695055i
\(732\) 155.546 42.7284i 0.212495 0.0583721i
\(733\) 1139.64 472.054i 1.55476 0.644002i 0.570590 0.821235i \(-0.306714\pi\)
0.984169 + 0.177233i \(0.0567145\pi\)
\(734\) 294.892 + 507.081i 0.401761 + 0.690845i
\(735\) 27.7663i 0.0377773i
\(736\) −827.515 + 235.732i −1.12434 + 0.320289i
\(737\) 258.463 0.350695
\(738\) −969.911 + 564.051i −1.31424 + 0.764297i
\(739\) −231.276 558.350i −0.312958 0.755548i −0.999593 0.0285453i \(-0.990913\pi\)
0.686634 0.727003i \(-0.259087\pi\)
\(740\) −917.368 + 252.000i −1.23969 + 0.340541i
\(741\) −100.557 + 242.767i −0.135705 + 0.327620i
\(742\) −262.091 199.804i −0.353222 0.269277i
\(743\) −633.588 + 633.588i −0.852743 + 0.852743i −0.990470 0.137727i \(-0.956020\pi\)
0.137727 + 0.990470i \(0.456020\pi\)
\(744\) −133.653 + 56.8434i −0.179641 + 0.0764024i
\(745\) −143.515 + 143.515i −0.192638 + 0.192638i
\(746\) −120.622 894.478i −0.161692 1.19903i
\(747\) −358.614 + 865.770i −0.480072 + 1.15900i
\(748\) 386.232 300.243i 0.516353 0.401395i
\(749\) −184.277 444.885i −0.246031 0.593972i
\(750\) 61.9178 234.021i 0.0825571 0.312027i
\(751\) −970.408 −1.29215 −0.646077 0.763272i \(-0.723592\pi\)
−0.646077 + 0.763272i \(0.723592\pi\)
\(752\) 2.46771 + 4.15272i 0.00328153 + 0.00552224i
\(753\) 279.950i 0.371779i
\(754\) 215.814 815.676i 0.286225 1.08180i
\(755\) −44.3563 + 18.3730i −0.0587500 + 0.0243351i
\(756\) −20.3210 + 162.228i −0.0268796 + 0.214587i
\(757\) 1169.52 + 484.433i 1.54495 + 0.639937i 0.982393 0.186824i \(-0.0598195\pi\)
0.562552 + 0.826762i \(0.309819\pi\)