Properties

Label 731.2.n.a.208.16
Level 731
Weight 2
Character 731.208
Analytic conductor 5.837
Analytic rank 0
Dimension 256
CM no
Inner twists 4

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Newspace parameters

Level: \( N \) = \( 731 = 17 \cdot 43 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 731.n (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.83706438776\)
Analytic rank: \(0\)
Dimension: \(256\)
Relative dimension: \(64\) over \(\Q(\zeta_{12})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 208.16
Character \(\chi\) = 731.208
Dual form 731.2.n.a.608.49

$q$-expansion

\(f(q)\) \(=\) \(q-1.73334i q^{2} +(2.03902 + 0.546353i) q^{3} -1.00446 q^{4} +(3.75820 + 1.00701i) q^{5} +(0.947015 - 3.53431i) q^{6} +(0.573555 - 0.153684i) q^{7} -1.72560i q^{8} +(1.26102 + 0.728048i) q^{9} +O(q^{10})\) \(q-1.73334i q^{2} +(2.03902 + 0.546353i) q^{3} -1.00446 q^{4} +(3.75820 + 1.00701i) q^{5} +(0.947015 - 3.53431i) q^{6} +(0.573555 - 0.153684i) q^{7} -1.72560i q^{8} +(1.26102 + 0.728048i) q^{9} +(1.74548 - 6.51423i) q^{10} +(-1.44312 - 1.44312i) q^{11} +(-2.04812 - 0.548792i) q^{12} +(1.48111 - 2.56535i) q^{13} +(-0.266386 - 0.994166i) q^{14} +(7.11285 + 4.10660i) q^{15} -4.99998 q^{16} +(-3.35715 + 2.39365i) q^{17} +(1.26195 - 2.18577i) q^{18} +(-6.58291 + 3.80064i) q^{19} +(-3.77497 - 1.01150i) q^{20} +1.25345 q^{21} +(-2.50141 + 2.50141i) q^{22} +(-1.41278 + 5.27257i) q^{23} +(0.942788 - 3.51853i) q^{24} +(8.77985 + 5.06905i) q^{25} +(-4.44663 - 2.56726i) q^{26} +(-2.30453 - 2.30453i) q^{27} +(-0.576116 + 0.154370i) q^{28} +(-1.46507 - 5.46773i) q^{29} +(7.11814 - 12.3290i) q^{30} +(7.66923 + 2.05496i) q^{31} +5.21546i q^{32} +(-2.15409 - 3.73099i) q^{33} +(4.14900 + 5.81908i) q^{34} +2.31029 q^{35} +(-1.26665 - 0.731298i) q^{36} +(-1.95198 - 0.523030i) q^{37} +(6.58780 + 11.4104i) q^{38} +(4.42159 - 4.42159i) q^{39} +(1.73769 - 6.48515i) q^{40} +(5.44379 + 5.44379i) q^{41} -2.17266i q^{42} +(-6.20944 + 2.10782i) q^{43} +(1.44956 + 1.44956i) q^{44} +(4.00600 + 4.00600i) q^{45} +(9.13914 + 2.44883i) q^{46} -2.34592 q^{47} +(-10.1950 - 2.73175i) q^{48} +(-5.75683 + 3.32371i) q^{49} +(8.78638 - 15.2185i) q^{50} +(-8.15306 + 3.04650i) q^{51} +(-1.48772 + 2.57681i) q^{52} +(9.64685 - 5.56961i) q^{53} +(-3.99454 + 3.99454i) q^{54} +(-3.97029 - 6.87675i) q^{55} +(-0.265197 - 0.989727i) q^{56} +(-15.4992 + 4.15299i) q^{57} +(-9.47743 + 2.53947i) q^{58} +13.3801i q^{59} +(-7.14460 - 4.12494i) q^{60} +(3.58012 - 0.959290i) q^{61} +(3.56195 - 13.2934i) q^{62} +(0.835151 + 0.223778i) q^{63} -0.959802 q^{64} +(8.14962 - 8.14962i) q^{65} +(-6.46708 + 3.73377i) q^{66} +(4.97858 + 8.62314i) q^{67} +(3.37214 - 2.40433i) q^{68} +(-5.76137 + 9.97898i) q^{69} -4.00452i q^{70} +(-2.11570 - 7.89591i) q^{71} +(1.25632 - 2.17601i) q^{72} +(-2.01342 - 7.51420i) q^{73} +(-0.906589 + 3.38344i) q^{74} +(15.1328 + 15.1328i) q^{75} +(6.61230 - 3.81761i) q^{76} +(-1.04949 - 0.605924i) q^{77} +(-7.66412 - 7.66412i) q^{78} +(-5.04404 + 1.35155i) q^{79} +(-18.7909 - 5.03501i) q^{80} +(-5.62404 - 9.74112i) q^{81} +(9.43593 - 9.43593i) q^{82} +(13.1959 - 7.61864i) q^{83} -1.25905 q^{84} +(-15.0272 + 5.61513i) q^{85} +(3.65357 + 10.7631i) q^{86} -11.9492i q^{87} +(-2.49025 + 2.49025i) q^{88} +(-0.187587 - 0.324911i) q^{89} +(6.94375 - 6.94375i) q^{90} +(0.455244 - 1.69899i) q^{91} +(1.41909 - 5.29610i) q^{92} +(14.5150 + 8.38022i) q^{93} +4.06628i q^{94} +(-28.5671 + 7.65454i) q^{95} +(-2.84948 + 10.6344i) q^{96} +(-9.38379 + 9.38379i) q^{97} +(5.76111 + 9.97854i) q^{98} +(-0.769135 - 2.87045i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 256q - 6q^{3} - 264q^{4} + 2q^{5} - 2q^{6} + O(q^{10}) \) \( 256q - 6q^{3} - 264q^{4} + 2q^{5} - 2q^{6} + 2q^{10} + 4q^{11} + 8q^{12} - 8q^{13} - 6q^{14} + 248q^{16} - 2q^{17} + 16q^{18} - 14q^{20} - 16q^{21} - 4q^{22} + 8q^{23} + 12q^{24} - 12q^{27} - 14q^{28} + 2q^{29} + 8q^{30} - 24q^{31} + 20q^{33} + 16q^{34} + 40q^{35} + 18q^{37} + 8q^{38} + 36q^{39} - 10q^{40} + 8q^{41} - 80q^{44} - 4q^{45} + 2q^{46} + 24q^{47} + 24q^{48} + 92q^{50} - 20q^{51} + 4q^{52} - 88q^{54} - 80q^{55} + 60q^{56} - 44q^{57} + 34q^{58} - 8q^{61} + 24q^{62} - 26q^{63} - 200q^{64} - 8q^{65} + 44q^{67} - 58q^{68} + 40q^{69} - 26q^{71} - 48q^{72} + 36q^{73} + 90q^{74} - 156q^{75} - 24q^{78} + 22q^{79} + 30q^{80} + 132q^{81} + 156q^{82} - 160q^{84} - 28q^{85} + 52q^{86} + 28q^{88} - 20q^{89} + 28q^{90} + 34q^{91} - 70q^{92} + 40q^{95} - 16q^{96} - 92q^{98} + 30q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(173\) \(562\)
\(\chi(n)\) \(e\left(\frac{3}{4}\right)\) \(e\left(\frac{1}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.73334i 1.22566i −0.790216 0.612828i \(-0.790032\pi\)
0.790216 0.612828i \(-0.209968\pi\)
\(3\) 2.03902 + 0.546353i 1.17723 + 0.315437i 0.793826 0.608145i \(-0.208086\pi\)
0.383401 + 0.923582i \(0.374753\pi\)
\(4\) −1.00446 −0.502232
\(5\) 3.75820 + 1.00701i 1.68072 + 0.450347i 0.967968 0.251074i \(-0.0807836\pi\)
0.712748 + 0.701420i \(0.247450\pi\)
\(6\) 0.947015 3.53431i 0.386617 1.44288i
\(7\) 0.573555 0.153684i 0.216783 0.0580870i −0.148793 0.988868i \(-0.547539\pi\)
0.365576 + 0.930781i \(0.380872\pi\)
\(8\) 1.72560i 0.610092i
\(9\) 1.26102 + 0.728048i 0.420339 + 0.242683i
\(10\) 1.74548 6.51423i 0.551970 2.05998i
\(11\) −1.44312 1.44312i −0.435116 0.435116i 0.455248 0.890365i \(-0.349551\pi\)
−0.890365 + 0.455248i \(0.849551\pi\)
\(12\) −2.04812 0.548792i −0.591241 0.158423i
\(13\) 1.48111 2.56535i 0.410785 0.711501i −0.584190 0.811617i \(-0.698588\pi\)
0.994976 + 0.100115i \(0.0319212\pi\)
\(14\) −0.266386 0.994166i −0.0711946 0.265702i
\(15\) 7.11285 + 4.10660i 1.83653 + 1.06032i
\(16\) −4.99998 −1.25000
\(17\) −3.35715 + 2.39365i −0.814228 + 0.580545i
\(18\) 1.26195 2.18577i 0.297445 0.515190i
\(19\) −6.58291 + 3.80064i −1.51022 + 0.871928i −0.510294 + 0.860000i \(0.670463\pi\)
−0.999929 + 0.0119274i \(0.996203\pi\)
\(20\) −3.77497 1.01150i −0.844110 0.226179i
\(21\) 1.25345 0.273526
\(22\) −2.50141 + 2.50141i −0.533303 + 0.533303i
\(23\) −1.41278 + 5.27257i −0.294585 + 1.09941i 0.646962 + 0.762523i \(0.276039\pi\)
−0.941546 + 0.336883i \(0.890627\pi\)
\(24\) 0.942788 3.51853i 0.192446 0.718217i
\(25\) 8.77985 + 5.06905i 1.75597 + 1.01381i
\(26\) −4.44663 2.56726i −0.872055 0.503481i
\(27\) −2.30453 2.30453i −0.443507 0.443507i
\(28\) −0.576116 + 0.154370i −0.108876 + 0.0291731i
\(29\) −1.46507 5.46773i −0.272057 1.01533i −0.957788 0.287476i \(-0.907184\pi\)
0.685730 0.727856i \(-0.259483\pi\)
\(30\) 7.11814 12.3290i 1.29959 2.25095i
\(31\) 7.66923 + 2.05496i 1.37743 + 0.369083i 0.870189 0.492719i \(-0.163997\pi\)
0.507246 + 0.861801i \(0.330663\pi\)
\(32\) 5.21546i 0.921972i
\(33\) −2.15409 3.73099i −0.374979 0.649483i
\(34\) 4.14900 + 5.81908i 0.711548 + 0.997963i
\(35\) 2.31029 0.390511
\(36\) −1.26665 0.731298i −0.211108 0.121883i
\(37\) −1.95198 0.523030i −0.320903 0.0859857i 0.0947718 0.995499i \(-0.469788\pi\)
−0.415675 + 0.909513i \(0.636455\pi\)
\(38\) 6.58780 + 11.4104i 1.06868 + 1.85101i
\(39\) 4.42159 4.42159i 0.708022 0.708022i
\(40\) 1.73769 6.48515i 0.274753 1.02539i
\(41\) 5.44379 + 5.44379i 0.850177 + 0.850177i 0.990155 0.139978i \(-0.0447031\pi\)
−0.139978 + 0.990155i \(0.544703\pi\)
\(42\) 2.17266i 0.335249i
\(43\) −6.20944 + 2.10782i −0.946930 + 0.321440i
\(44\) 1.44956 + 1.44956i 0.218529 + 0.218529i
\(45\) 4.00600 + 4.00600i 0.597178 + 0.597178i
\(46\) 9.13914 + 2.44883i 1.34749 + 0.361060i
\(47\) −2.34592 −0.342188 −0.171094 0.985255i \(-0.554730\pi\)
−0.171094 + 0.985255i \(0.554730\pi\)
\(48\) −10.1950 2.73175i −1.47153 0.394295i
\(49\) −5.75683 + 3.32371i −0.822404 + 0.474815i
\(50\) 8.78638 15.2185i 1.24258 2.15221i
\(51\) −8.15306 + 3.04650i −1.14166 + 0.426596i
\(52\) −1.48772 + 2.57681i −0.206310 + 0.357339i
\(53\) 9.64685 5.56961i 1.32510 0.765045i 0.340560 0.940223i \(-0.389383\pi\)
0.984537 + 0.175177i \(0.0560499\pi\)
\(54\) −3.99454 + 3.99454i −0.543587 + 0.543587i
\(55\) −3.97029 6.87675i −0.535354 0.927260i
\(56\) −0.265197 0.989727i −0.0354384 0.132258i
\(57\) −15.4992 + 4.15299i −2.05291 + 0.550077i
\(58\) −9.47743 + 2.53947i −1.24445 + 0.333449i
\(59\) 13.3801i 1.74194i 0.491337 + 0.870970i \(0.336508\pi\)
−0.491337 + 0.870970i \(0.663492\pi\)
\(60\) −7.14460 4.12494i −0.922364 0.532527i
\(61\) 3.58012 0.959290i 0.458387 0.122825i −0.0222338 0.999753i \(-0.507078\pi\)
0.480621 + 0.876928i \(0.340411\pi\)
\(62\) 3.56195 13.2934i 0.452368 1.68826i
\(63\) 0.835151 + 0.223778i 0.105219 + 0.0281934i
\(64\) −0.959802 −0.119975
\(65\) 8.14962 8.14962i 1.01084 1.01084i
\(66\) −6.46708 + 3.73377i −0.796042 + 0.459595i
\(67\) 4.97858 + 8.62314i 0.608230 + 1.05348i 0.991532 + 0.129862i \(0.0414534\pi\)
−0.383302 + 0.923623i \(0.625213\pi\)
\(68\) 3.37214 2.40433i 0.408932 0.291568i
\(69\) −5.76137 + 9.97898i −0.693587 + 1.20133i
\(70\) 4.00452i 0.478632i
\(71\) −2.11570 7.89591i −0.251088 0.937072i −0.970225 0.242204i \(-0.922130\pi\)
0.719138 0.694868i \(-0.244537\pi\)
\(72\) 1.25632 2.17601i 0.148059 0.256445i
\(73\) −2.01342 7.51420i −0.235653 0.879470i −0.977853 0.209292i \(-0.932884\pi\)
0.742200 0.670179i \(-0.233783\pi\)
\(74\) −0.906589 + 3.38344i −0.105389 + 0.393317i
\(75\) 15.1328 + 15.1328i 1.74738 + 1.74738i
\(76\) 6.61230 3.81761i 0.758482 0.437910i
\(77\) −1.04949 0.605924i −0.119601 0.0690514i
\(78\) −7.66412 7.66412i −0.867791 0.867791i
\(79\) −5.04404 + 1.35155i −0.567499 + 0.152061i −0.531149 0.847278i \(-0.678240\pi\)
−0.0363497 + 0.999339i \(0.511573\pi\)
\(80\) −18.7909 5.03501i −2.10089 0.562931i
\(81\) −5.62404 9.74112i −0.624893 1.08235i
\(82\) 9.43593 9.43593i 1.04202 1.04202i
\(83\) 13.1959 7.61864i 1.44844 0.836255i 0.450047 0.893005i \(-0.351407\pi\)
0.998388 + 0.0567502i \(0.0180739\pi\)
\(84\) −1.25905 −0.137374
\(85\) −15.0272 + 5.61513i −1.62993 + 0.609047i
\(86\) 3.65357 + 10.7631i 0.393974 + 1.16061i
\(87\) 11.9492i 1.28109i
\(88\) −2.49025 + 2.49025i −0.265461 + 0.265461i
\(89\) −0.187587 0.324911i −0.0198842 0.0344405i 0.855912 0.517121i \(-0.172996\pi\)
−0.875796 + 0.482681i \(0.839663\pi\)
\(90\) 6.94375 6.94375i 0.731935 0.731935i
\(91\) 0.455244 1.69899i 0.0477225 0.178103i
\(92\) 1.41909 5.29610i 0.147950 0.552157i
\(93\) 14.5150 + 8.38022i 1.50513 + 0.868988i
\(94\) 4.06628i 0.419405i
\(95\) −28.5671 + 7.65454i −2.93093 + 0.785339i
\(96\) −2.84948 + 10.6344i −0.290824 + 1.08537i
\(97\) −9.38379 + 9.38379i −0.952780 + 0.952780i −0.998934 0.0461547i \(-0.985303\pi\)
0.0461547 + 0.998934i \(0.485303\pi\)
\(98\) 5.76111 + 9.97854i 0.581960 + 1.00798i
\(99\) −0.769135 2.87045i −0.0773010 0.288491i
\(100\) −8.81904 5.09168i −0.881904 0.509168i
\(101\) −1.96407 + 3.40186i −0.195432 + 0.338498i −0.947042 0.321110i \(-0.895944\pi\)
0.751610 + 0.659608i \(0.229278\pi\)
\(102\) 5.28062 + 14.1320i 0.522860 + 1.39928i
\(103\) 7.90409 13.6903i 0.778814 1.34894i −0.153812 0.988100i \(-0.549155\pi\)
0.932626 0.360845i \(-0.117512\pi\)
\(104\) −4.42678 2.55580i −0.434081 0.250617i
\(105\) 4.71073 + 1.26224i 0.459720 + 0.123182i
\(106\) −9.65403 16.7213i −0.937682 1.62411i
\(107\) 1.11889 1.11889i 0.108167 0.108167i −0.650952 0.759119i \(-0.725630\pi\)
0.759119 + 0.650952i \(0.225630\pi\)
\(108\) 2.31482 + 2.31482i 0.222744 + 0.222744i
\(109\) 2.60571 9.72465i 0.249582 0.931453i −0.721443 0.692474i \(-0.756521\pi\)
0.971025 0.238979i \(-0.0768126\pi\)
\(110\) −11.9197 + 6.88186i −1.13650 + 0.656160i
\(111\) −3.69436 2.13294i −0.350653 0.202449i
\(112\) −2.86776 + 0.768415i −0.270978 + 0.0726084i
\(113\) −4.21878 4.21878i −0.396870 0.396870i 0.480258 0.877127i \(-0.340543\pi\)
−0.877127 + 0.480258i \(0.840543\pi\)
\(114\) 7.19854 + 26.8653i 0.674205 + 2.51617i
\(115\) −10.6190 + 18.3927i −0.990227 + 1.71512i
\(116\) 1.47161 + 5.49214i 0.136636 + 0.509932i
\(117\) 3.73540 2.15663i 0.345338 0.199381i
\(118\) 23.1922 2.13502
\(119\) −1.55765 + 1.88883i −0.142789 + 0.173149i
\(120\) 7.08636 12.2739i 0.646893 1.12045i
\(121\) 6.83482i 0.621348i
\(122\) −1.66278 6.20556i −0.150541 0.561825i
\(123\) 8.12575 + 14.0742i 0.732674 + 1.26903i
\(124\) −7.70347 2.06414i −0.691792 0.185365i
\(125\) 14.1359 + 14.1359i 1.26435 + 1.26435i
\(126\) 0.387883 1.44760i 0.0345554 0.128962i
\(127\) 3.56290i 0.316156i −0.987427 0.158078i \(-0.949470\pi\)
0.987427 0.158078i \(-0.0505297\pi\)
\(128\) 12.0946i 1.06902i
\(129\) −13.8128 + 0.905339i −1.21615 + 0.0797107i
\(130\) −14.1261 14.1261i −1.23894 1.23894i
\(131\) −9.30437 + 9.30437i −0.812926 + 0.812926i −0.985072 0.172145i \(-0.944930\pi\)
0.172145 + 0.985072i \(0.444930\pi\)
\(132\) 2.16371 + 3.74765i 0.188327 + 0.326191i
\(133\) −3.19156 + 3.19156i −0.276744 + 0.276744i
\(134\) 14.9468 8.62956i 1.29121 0.745480i
\(135\) −6.34021 10.9816i −0.545678 0.945142i
\(136\) 4.13048 + 5.79310i 0.354186 + 0.496754i
\(137\) −6.53984 −0.558736 −0.279368 0.960184i \(-0.590125\pi\)
−0.279368 + 0.960184i \(0.590125\pi\)
\(138\) 17.2970 + 9.98640i 1.47241 + 0.850099i
\(139\) 7.94761 + 2.12955i 0.674107 + 0.180626i 0.579604 0.814898i \(-0.303207\pi\)
0.0945029 + 0.995525i \(0.469874\pi\)
\(140\) −2.32061 −0.196127
\(141\) −4.78338 1.28170i −0.402833 0.107939i
\(142\) −13.6863 + 3.66723i −1.14853 + 0.307747i
\(143\) −5.83952 + 1.56469i −0.488325 + 0.130846i
\(144\) −6.30505 3.64022i −0.525421 0.303352i
\(145\) 22.0241i 1.82900i
\(146\) −13.0247 + 3.48995i −1.07793 + 0.288830i
\(147\) −13.5542 + 3.63184i −1.11793 + 0.299549i
\(148\) 1.96069 + 0.525365i 0.161168 + 0.0431848i
\(149\) −3.43524 5.95001i −0.281426 0.487444i 0.690310 0.723513i \(-0.257474\pi\)
−0.971736 + 0.236070i \(0.924141\pi\)
\(150\) 26.2302 26.2302i 2.14169 2.14169i
\(151\) 0.730666i 0.0594608i −0.999558 0.0297304i \(-0.990535\pi\)
0.999558 0.0297304i \(-0.00946487\pi\)
\(152\) 6.55839 + 11.3595i 0.531956 + 0.921375i
\(153\) −5.97611 + 0.574264i −0.483140 + 0.0464265i
\(154\) −1.05027 + 1.81912i −0.0846333 + 0.146589i
\(155\) 26.7531 + 15.4459i 2.14886 + 1.24065i
\(156\) −4.44133 + 4.44133i −0.355591 + 0.355591i
\(157\) 10.0923 17.4805i 0.805457 1.39509i −0.110525 0.993873i \(-0.535253\pi\)
0.915982 0.401219i \(-0.131413\pi\)
\(158\) 2.34269 + 8.74303i 0.186374 + 0.695558i
\(159\) 22.7131 6.08595i 1.80126 0.482647i
\(160\) −5.25200 + 19.6007i −0.415207 + 1.54957i
\(161\) 3.24123i 0.255445i
\(162\) −16.8847 + 9.74836i −1.32658 + 0.765904i
\(163\) −14.4058 + 3.86001i −1.12835 + 0.302340i −0.774257 0.632872i \(-0.781876\pi\)
−0.354090 + 0.935211i \(0.615209\pi\)
\(164\) −5.46809 5.46809i −0.426986 0.426986i
\(165\) −4.33836 16.1910i −0.337741 1.26047i
\(166\) −13.2057 22.8729i −1.02496 1.77528i
\(167\) 18.5982 + 4.98338i 1.43917 + 0.385625i 0.892244 0.451554i \(-0.149130\pi\)
0.546929 + 0.837179i \(0.315797\pi\)
\(168\) 2.16296i 0.166876i
\(169\) 2.11264 + 3.65920i 0.162511 + 0.281477i
\(170\) 9.73293 + 26.0473i 0.746481 + 1.99774i
\(171\) −11.0682 −0.846406
\(172\) 6.23716 2.11723i 0.475579 0.161437i
\(173\) 6.46036 6.46036i 0.491172 0.491172i −0.417504 0.908675i \(-0.637095\pi\)
0.908675 + 0.417504i \(0.137095\pi\)
\(174\) −20.7121 −1.57018
\(175\) 5.81476 + 1.55806i 0.439554 + 0.117778i
\(176\) 7.21556 + 7.21556i 0.543893 + 0.543893i
\(177\) −7.31025 + 27.2822i −0.549472 + 2.05066i
\(178\) −0.563180 + 0.325152i −0.0422122 + 0.0243712i
\(179\) 19.9082 + 11.4940i 1.48801 + 0.859104i 0.999906 0.0136804i \(-0.00435475\pi\)
0.488106 + 0.872785i \(0.337688\pi\)
\(180\) −4.02388 4.02388i −0.299922 0.299922i
\(181\) 9.74936 2.61233i 0.724664 0.194173i 0.122412 0.992479i \(-0.460937\pi\)
0.602252 + 0.798306i \(0.294270\pi\)
\(182\) −2.94493 0.789092i −0.218293 0.0584914i
\(183\) 7.82404 0.578370
\(184\) 9.09834 + 2.43789i 0.670739 + 0.179724i
\(185\) −6.80921 3.93130i −0.500623 0.289035i
\(186\) 14.5258 25.1594i 1.06508 1.84477i
\(187\) 8.29908 + 1.39044i 0.606889 + 0.101679i
\(188\) 2.35640 0.171858
\(189\) −1.67595 0.967607i −0.121907 0.0703831i
\(190\) 13.2679 + 49.5165i 0.962555 + 3.59231i
\(191\) 3.64928 + 6.32074i 0.264053 + 0.457353i 0.967315 0.253578i \(-0.0816074\pi\)
−0.703262 + 0.710930i \(0.748274\pi\)
\(192\) −1.95705 0.524391i −0.141238 0.0378446i
\(193\) −2.34550 2.34550i −0.168833 0.168833i 0.617633 0.786466i \(-0.288092\pi\)
−0.786466 + 0.617633i \(0.788092\pi\)
\(194\) 16.2653 + 16.2653i 1.16778 + 1.16778i
\(195\) 21.0698 12.1646i 1.50884 0.871128i
\(196\) 5.78253 3.33855i 0.413038 0.238468i
\(197\) 1.41475 0.379081i 0.100797 0.0270084i −0.208068 0.978114i \(-0.566718\pi\)
0.308865 + 0.951106i \(0.400051\pi\)
\(198\) −4.97547 + 1.33317i −0.353591 + 0.0947444i
\(199\) −4.82805 + 4.82805i −0.342252 + 0.342252i −0.857213 0.514962i \(-0.827806\pi\)
0.514962 + 0.857213i \(0.327806\pi\)
\(200\) 8.74715 15.1505i 0.618517 1.07130i
\(201\) 5.44012 + 20.3028i 0.383717 + 1.43205i
\(202\) 5.89658 + 3.40439i 0.414882 + 0.239532i
\(203\) −1.68060 2.91089i −0.117955 0.204304i
\(204\) 8.18946 3.06010i 0.573377 0.214250i
\(205\) 14.9769 + 25.9407i 1.04603 + 1.81178i
\(206\) −23.7299 13.7005i −1.65334 0.954557i
\(207\) −5.62022 + 5.62022i −0.390632 + 0.390632i
\(208\) −7.40551 + 12.8267i −0.513480 + 0.889373i
\(209\) 14.9847 + 4.01513i 1.03651 + 0.277733i
\(210\) 2.18788 8.16529i 0.150978 0.563458i
\(211\) −12.1827 12.1827i −0.838688 0.838688i 0.149998 0.988686i \(-0.452073\pi\)
−0.988686 + 0.149998i \(0.952073\pi\)
\(212\) −9.68992 + 5.59448i −0.665506 + 0.384230i
\(213\) 17.2558i 1.18235i
\(214\) −1.93942 1.93942i −0.132576 0.132576i
\(215\) −25.4589 + 1.66867i −1.73628 + 0.113802i
\(216\) −3.97670 + 3.97670i −0.270580 + 0.270580i
\(217\) 4.71454 0.320044
\(218\) −16.8561 4.51658i −1.14164 0.305902i
\(219\) 16.4216i 1.10967i
\(220\) 3.98802 + 6.90745i 0.268872 + 0.465700i
\(221\) 1.16826 + 12.1575i 0.0785854 + 0.817804i
\(222\) −3.69710 + 6.40357i −0.248133 + 0.429779i
\(223\) 23.2627i 1.55778i −0.627158 0.778892i \(-0.715782\pi\)
0.627158 0.778892i \(-0.284218\pi\)
\(224\) 0.801531 + 2.99135i 0.0535545 + 0.199868i
\(225\) 7.38102 + 12.7843i 0.492068 + 0.852286i
\(226\) −7.31258 + 7.31258i −0.486426 + 0.486426i
\(227\) 3.96178 14.7856i 0.262953 0.981353i −0.700539 0.713614i \(-0.747057\pi\)
0.963492 0.267739i \(-0.0862764\pi\)
\(228\) 15.5684 4.17153i 1.03104 0.276266i
\(229\) −9.54799 5.51254i −0.630949 0.364279i 0.150170 0.988660i \(-0.452018\pi\)
−0.781120 + 0.624381i \(0.785351\pi\)
\(230\) 31.8807 + 18.4063i 2.10215 + 1.21368i
\(231\) −1.80888 1.80888i −0.119016 0.119016i
\(232\) −9.43512 + 2.52813i −0.619446 + 0.165980i
\(233\) −1.47724 5.51313i −0.0967772 0.361177i 0.900506 0.434844i \(-0.143197\pi\)
−0.997283 + 0.0736668i \(0.976530\pi\)
\(234\) −3.73818 6.47471i −0.244372 0.423265i
\(235\) −8.81644 2.36236i −0.575121 0.154103i
\(236\) 13.4398i 0.874858i
\(237\) −11.0233 −0.716041
\(238\) 3.27398 + 2.69993i 0.212221 + 0.175010i
\(239\) 7.67854 + 13.2996i 0.496684 + 0.860281i 0.999993 0.00382511i \(-0.00121757\pi\)
−0.503309 + 0.864107i \(0.667884\pi\)
\(240\) −35.5641 20.5329i −2.29565 1.32540i
\(241\) −5.10214 19.0414i −0.328657 1.22657i −0.910584 0.413325i \(-0.864367\pi\)
0.581926 0.813242i \(-0.302299\pi\)
\(242\) −11.8471 −0.761558
\(243\) −3.61487 13.4909i −0.231894 0.865440i
\(244\) −3.59610 + 0.963573i −0.230217 + 0.0616864i
\(245\) −24.9823 + 6.69398i −1.59606 + 0.427663i
\(246\) 24.3954 14.0847i 1.55539 0.898007i
\(247\) 22.5167i 1.43270i
\(248\) 3.54605 13.2340i 0.225174 0.840362i
\(249\) 31.0691 8.32494i 1.96892 0.527572i
\(250\) 24.5023 24.5023i 1.54966 1.54966i
\(251\) −2.58984 + 4.48574i −0.163469 + 0.283137i −0.936111 0.351706i \(-0.885602\pi\)
0.772641 + 0.634843i \(0.218935\pi\)
\(252\) −0.838879 0.224777i −0.0528444 0.0141596i
\(253\) 9.64774 5.57012i 0.606548 0.350191i
\(254\) −6.17571 −0.387498
\(255\) −33.7087 + 3.23917i −2.11092 + 0.202845i
\(256\) 19.0444 1.19028
\(257\) 16.4223i 1.02439i 0.858868 + 0.512196i \(0.171168\pi\)
−0.858868 + 0.512196i \(0.828832\pi\)
\(258\) 1.56926 + 23.9422i 0.0976979 + 1.49058i
\(259\) −1.19995 −0.0745611
\(260\) −8.18600 + 8.18600i −0.507674 + 0.507674i
\(261\) 2.13329 7.96154i 0.132047 0.492807i
\(262\) 16.1276 + 16.1276i 0.996368 + 0.996368i
\(263\) −16.0125 + 9.24485i −0.987376 + 0.570062i −0.904489 0.426497i \(-0.859747\pi\)
−0.0828869 + 0.996559i \(0.526414\pi\)
\(264\) −6.43821 + 3.71710i −0.396244 + 0.228772i
\(265\) 41.8634 11.2173i 2.57165 0.689071i
\(266\) 5.53206 + 5.53206i 0.339193 + 0.339193i
\(267\) −0.204978 0.764988i −0.0125444 0.0468165i
\(268\) −5.00080 8.66164i −0.305473 0.529094i
\(269\) −16.6639 + 16.6639i −1.01602 + 1.01602i −0.0161462 + 0.999870i \(0.505140\pi\)
−0.999870 + 0.0161462i \(0.994860\pi\)
\(270\) −19.0348 + 10.9897i −1.15842 + 0.668813i
\(271\) 6.22663 10.7848i 0.378241 0.655132i −0.612566 0.790420i \(-0.709863\pi\)
0.990806 + 0.135288i \(0.0431959\pi\)
\(272\) 16.7857 11.9682i 1.01778 0.725678i
\(273\) 1.85650 3.21555i 0.112361 0.194614i
\(274\) 11.3358i 0.684818i
\(275\) −5.35512 19.9856i −0.322926 1.20518i
\(276\) 5.78709 10.0235i 0.348342 0.603345i
\(277\) 0.437793 + 0.117306i 0.0263044 + 0.00704825i 0.271947 0.962312i \(-0.412332\pi\)
−0.245643 + 0.969360i \(0.578999\pi\)
\(278\) 3.69124 13.7759i 0.221386 0.826223i
\(279\) 8.17491 + 8.17491i 0.489419 + 0.489419i
\(280\) 3.98664i 0.238248i
\(281\) −21.5226 + 12.4261i −1.28393 + 0.741278i −0.977565 0.210636i \(-0.932447\pi\)
−0.306366 + 0.951914i \(0.599113\pi\)
\(282\) −2.22163 + 8.29122i −0.132296 + 0.493735i
\(283\) −11.0226 + 2.95350i −0.655226 + 0.175567i −0.571090 0.820887i \(-0.693479\pi\)
−0.0841352 + 0.996454i \(0.526813\pi\)
\(284\) 2.12515 + 7.93116i 0.126104 + 0.470628i
\(285\) −62.4310 −3.69809
\(286\) 2.71215 + 10.1219i 0.160373 + 0.598519i
\(287\) 3.95893 + 2.28569i 0.233689 + 0.134920i
\(288\) −3.79710 + 6.57677i −0.223746 + 0.387540i
\(289\) 5.54089 16.0717i 0.325935 0.945392i
\(290\) −38.1753 −2.24173
\(291\) −24.2606 + 14.0069i −1.42218 + 0.821096i
\(292\) 2.02241 + 7.54774i 0.118353 + 0.441698i
\(293\) 10.1067 0.590437 0.295219 0.955430i \(-0.404608\pi\)
0.295219 + 0.955430i \(0.404608\pi\)
\(294\) 6.29520 + 23.4940i 0.367144 + 1.37020i
\(295\) −13.4738 + 50.2850i −0.784476 + 2.92771i
\(296\) −0.902542 + 3.36833i −0.0524592 + 0.195780i
\(297\) 6.65142i 0.385955i
\(298\) −10.3134 + 5.95444i −0.597439 + 0.344931i
\(299\) 11.4335 + 11.4335i 0.661217 + 0.661217i
\(300\) −15.2003 15.2003i −0.877592 0.877592i
\(301\) −3.23752 + 2.16324i −0.186607 + 0.124687i
\(302\) −1.26649 −0.0728785
\(303\) −5.86339 + 5.86339i −0.336843 + 0.336843i
\(304\) 32.9144 19.0031i 1.88777 1.08991i
\(305\) 14.4208 0.825733
\(306\) 0.995394 + 10.3586i 0.0569029 + 0.592163i
\(307\) −7.09049 12.2811i −0.404676 0.700919i 0.589608 0.807689i \(-0.299282\pi\)
−0.994284 + 0.106771i \(0.965949\pi\)
\(308\) 1.05418 + 0.608629i 0.0600673 + 0.0346799i
\(309\) 23.5963 23.5963i 1.34235 1.34235i
\(310\) 26.7730 46.3722i 1.52060 2.63377i
\(311\) −16.5855 4.44407i −0.940476 0.252000i −0.244160 0.969735i \(-0.578512\pi\)
−0.696316 + 0.717735i \(0.745179\pi\)
\(312\) −7.62991 7.62991i −0.431958 0.431958i
\(313\) −4.16157 + 15.5312i −0.235226 + 0.877876i 0.742821 + 0.669490i \(0.233487\pi\)
−0.978047 + 0.208385i \(0.933179\pi\)
\(314\) −30.2996 17.4935i −1.70990 0.987213i
\(315\) 2.91332 + 1.68200i 0.164147 + 0.0947701i
\(316\) 5.06656 1.35758i 0.285016 0.0763699i
\(317\) 19.9005 + 19.9005i 1.11772 + 1.11772i 0.992075 + 0.125647i \(0.0401006\pi\)
0.125647 + 0.992075i \(0.459899\pi\)
\(318\) −10.5490 39.3695i −0.591560 2.20773i
\(319\) −5.77630 + 10.0049i −0.323411 + 0.560164i
\(320\) −3.60712 0.966526i −0.201644 0.0540304i
\(321\) 2.89275 1.67013i 0.161458 0.0932177i
\(322\) 5.61815 0.313087
\(323\) 13.0024 28.5165i 0.723473 1.58670i
\(324\) 5.64914 + 9.78460i 0.313841 + 0.543589i
\(325\) 26.0078 15.0156i 1.44265 0.832916i
\(326\) 6.69071 + 24.9701i 0.370564 + 1.38296i
\(327\) 10.6262 18.4051i 0.587630 1.01780i
\(328\) 9.39381 9.39381i 0.518686 0.518686i
\(329\) −1.34552 + 0.360530i −0.0741808 + 0.0198767i
\(330\) −28.0645 + 7.51985i −1.54490 + 0.413954i
\(331\) −0.630471 0.364003i −0.0346538 0.0200074i 0.482573 0.875856i \(-0.339702\pi\)
−0.517227 + 0.855848i \(0.673036\pi\)
\(332\) −13.2548 + 7.65265i −0.727451 + 0.419994i
\(333\) −2.08068 2.08068i −0.114021 0.114021i
\(334\) 8.63788 32.2370i 0.472644 1.76393i
\(335\) 10.0269 + 37.4209i 0.547828 + 2.04452i
\(336\) −6.26725 −0.341906
\(337\) −5.69043 21.2370i −0.309978 1.15685i −0.928575 0.371144i \(-0.878965\pi\)
0.618597 0.785708i \(-0.287701\pi\)
\(338\) 6.34263 3.66192i 0.344994 0.199182i
\(339\) −6.29723 10.9071i −0.342018 0.592393i
\(340\) 15.0943 5.64020i 0.818605 0.305883i
\(341\) −8.10205 14.0332i −0.438751 0.759938i
\(342\) 19.1849i 1.03740i
\(343\) −5.73016 + 5.73016i −0.309400 + 0.309400i
\(344\) 3.63726 + 10.7150i 0.196108 + 0.577715i
\(345\) −31.7012 + 31.7012i −1.70674 + 1.70674i
\(346\) −11.1980 11.1980i −0.602007 0.602007i
\(347\) −9.35965 + 34.9307i −0.502452 + 1.87518i −0.0189748 + 0.999820i \(0.506040\pi\)
−0.483477 + 0.875357i \(0.660626\pi\)
\(348\) 12.0026i 0.643406i
\(349\) −14.8558 + 8.57697i −0.795210 + 0.459115i −0.841794 0.539800i \(-0.818500\pi\)
0.0465834 + 0.998914i \(0.485167\pi\)
\(350\) 2.70064 10.0789i 0.144356 0.538742i
\(351\) −9.32520 + 2.49868i −0.497742 + 0.133370i
\(352\) 7.52652 7.52652i 0.401165 0.401165i
\(353\) −5.15181 + 8.92320i −0.274203 + 0.474934i −0.969934 0.243369i \(-0.921747\pi\)
0.695731 + 0.718303i \(0.255081\pi\)
\(354\) 47.2894 + 12.6711i 2.51340 + 0.673464i
\(355\) 31.8049i 1.68803i
\(356\) 0.188425 + 0.326361i 0.00998649 + 0.0172971i
\(357\) −4.20803 + 3.00033i −0.222713 + 0.158794i
\(358\) 19.9231 34.5077i 1.05297 1.82379i
\(359\) −8.02191 4.63145i −0.423380 0.244439i 0.273142 0.961974i \(-0.411937\pi\)
−0.696522 + 0.717535i \(0.745270\pi\)
\(360\) 6.91275 6.91275i 0.364334 0.364334i
\(361\) 19.3898 33.5841i 1.02052 1.76758i
\(362\) −4.52806 16.8989i −0.237989 0.888189i
\(363\) 3.73423 13.9363i 0.195996 0.731467i
\(364\) −0.457276 + 1.70658i −0.0239678 + 0.0894490i
\(365\) 30.2674i 1.58427i
\(366\) 13.5617i 0.708882i
\(367\) 2.81589 10.5091i 0.146988 0.548568i −0.852670 0.522449i \(-0.825018\pi\)
0.999659 0.0261190i \(-0.00831488\pi\)
\(368\) 7.06387 26.3627i 0.368230 1.37425i
\(369\) 2.90136 + 10.8280i 0.151039 + 0.563685i
\(370\) −6.81428 + 11.8027i −0.354257 + 0.613592i
\(371\) 4.67704 4.67704i 0.242820 0.242820i
\(372\) −14.5798 8.41763i −0.755926 0.436434i
\(373\) 2.33999 4.05298i 0.121160 0.209856i −0.799065 0.601244i \(-0.794672\pi\)
0.920225 + 0.391389i \(0.128005\pi\)
\(374\) 2.41011 14.3851i 0.124624 0.743836i
\(375\) 21.1001 + 36.5465i 1.08961 + 1.88725i
\(376\) 4.04813i 0.208766i
\(377\) −16.1966 4.33986i −0.834167 0.223514i
\(378\) −1.67719 + 2.90498i −0.0862654 + 0.149416i
\(379\) 4.53240 4.53240i 0.232814 0.232814i −0.581052 0.813866i \(-0.697359\pi\)
0.813866 + 0.581052i \(0.197359\pi\)
\(380\) 28.6947 7.68871i 1.47200 0.394423i
\(381\) 1.94660 7.26481i 0.0997274 0.372188i
\(382\) 10.9560 6.32544i 0.560557 0.323638i
\(383\) 5.20498i 0.265962i −0.991119 0.132981i \(-0.957545\pi\)
0.991119 0.132981i \(-0.0424549\pi\)
\(384\) −6.60791 + 24.6611i −0.337209 + 1.25848i
\(385\) −3.33402 3.33402i −0.169918 0.169918i
\(386\) −4.06555 + 4.06555i −0.206931 + 0.206931i
\(387\) −9.36479 1.86277i −0.476039 0.0946899i
\(388\) 9.42568 9.42568i 0.478517 0.478517i
\(389\) 7.46853i 0.378670i −0.981913 0.189335i \(-0.939367\pi\)
0.981913 0.189335i \(-0.0606332\pi\)
\(390\) −21.0855 36.5211i −1.06770 1.84932i
\(391\) −7.87776 21.0825i −0.398395 1.06619i
\(392\) 5.73539 + 9.93399i 0.289681 + 0.501742i
\(393\) −24.0552 + 13.8883i −1.21343 + 0.700572i
\(394\) −0.657076 2.45224i −0.0331030 0.123542i
\(395\) −20.3175 −1.02228
\(396\) 0.772569 + 2.88327i 0.0388231 + 0.144890i
\(397\) −2.60854 + 9.73519i −0.130919 + 0.488595i −0.999981 0.00610679i \(-0.998056\pi\)
0.869063 + 0.494702i \(0.164723\pi\)
\(398\) 8.36865 + 8.36865i 0.419483 + 0.419483i
\(399\) −8.25138 + 4.76394i −0.413086 + 0.238495i
\(400\) −43.8991 25.3451i −2.19495 1.26726i
\(401\) 23.8746 6.39718i 1.19224 0.319460i 0.392470 0.919765i \(-0.371621\pi\)
0.799771 + 0.600305i \(0.204954\pi\)
\(402\) 35.1916 9.42957i 1.75520 0.470304i
\(403\) 16.6307 16.6307i 0.828433 0.828433i
\(404\) 1.97283 3.41705i 0.0981522 0.170005i
\(405\) −11.3269 42.2725i −0.562837 2.10054i
\(406\) −5.04555 + 2.91305i −0.250407 + 0.144572i
\(407\) 2.06214 + 3.57173i 0.102216 + 0.177044i
\(408\) 5.25705 + 14.0689i 0.260263 + 0.696516i
\(409\) −5.96053 −0.294729 −0.147365 0.989082i \(-0.547079\pi\)
−0.147365 + 0.989082i \(0.547079\pi\)
\(410\) 44.9641 25.9600i 2.22062 1.28208i
\(411\) −13.3349 3.57306i −0.657760 0.176246i
\(412\) −7.93938 + 13.7514i −0.391145 + 0.677483i
\(413\) 2.05630 + 7.67422i 0.101184 + 0.377624i
\(414\) 9.74174 + 9.74174i 0.478780 + 0.478780i
\(415\) 57.2647 15.3440i 2.81101 0.753209i
\(416\) 13.3795 + 7.72466i 0.655984 + 0.378732i
\(417\) 15.0418 + 8.68440i 0.736601 + 0.425277i
\(418\) 6.95959 25.9735i 0.340405 1.27041i
\(419\) −14.7382 14.7382i −0.720007 0.720007i 0.248600 0.968606i \(-0.420030\pi\)
−0.968606 + 0.248600i \(0.920030\pi\)
\(420\) −4.73176 1.26787i −0.230886 0.0618658i
\(421\) −1.04564 + 1.81110i −0.0509614 + 0.0882677i −0.890381 0.455216i \(-0.849562\pi\)
0.839419 + 0.543484i \(0.182895\pi\)
\(422\) −21.1167 + 21.1167i −1.02794 + 1.02794i
\(423\) −2.95825 1.70795i −0.143835 0.0830431i
\(424\) −9.61093 16.6466i −0.466748 0.808431i
\(425\) −41.6088 + 3.99832i −2.01832 + 0.193947i
\(426\) −29.9102 −1.44915
\(427\) 1.90597 1.10041i 0.0922363 0.0532527i
\(428\) −1.12389 + 1.12389i −0.0543252 + 0.0543252i
\(429\) −12.7618 −0.616144
\(430\) 2.89237 + 44.1288i 0.139482 + 2.12808i
\(431\) −5.72300 5.72300i −0.275667 0.275667i 0.555710 0.831377i \(-0.312447\pi\)
−0.831377 + 0.555710i \(0.812447\pi\)
\(432\) 11.5226 + 11.5226i 0.554382 + 0.554382i
\(433\) 15.8769 9.16656i 0.762997 0.440517i −0.0673735 0.997728i \(-0.521462\pi\)
0.830371 + 0.557211i \(0.188129\pi\)
\(434\) 8.17190i 0.392264i
\(435\) 12.0330 44.9076i 0.576936 2.15315i
\(436\) −2.61734 + 9.76806i −0.125348 + 0.467805i
\(437\) −10.7389 40.0783i −0.513713 1.91720i
\(438\) −28.4642 −1.36007
\(439\) −2.22246 8.29434i −0.106072 0.395867i 0.892392 0.451260i \(-0.149025\pi\)
−0.998465 + 0.0553931i \(0.982359\pi\)
\(440\) −11.8665 + 6.85114i −0.565714 + 0.326615i
\(441\) −9.67927 −0.460918
\(442\) 21.0731 2.02498i 1.00235 0.0963187i
\(443\) 5.34168 9.25206i 0.253791 0.439578i −0.710776 0.703419i \(-0.751656\pi\)
0.964566 + 0.263840i \(0.0849892\pi\)
\(444\) 3.71085 + 2.14246i 0.176109 + 0.101677i
\(445\) −0.377803 1.40998i −0.0179096 0.0668394i
\(446\) −40.3221 −1.90931
\(447\) −3.75371 14.0090i −0.177544 0.662605i
\(448\) −0.550499 + 0.147506i −0.0260086 + 0.00696899i
\(449\) −0.819999 + 3.06028i −0.0386981 + 0.144423i −0.982572 0.185883i \(-0.940485\pi\)
0.943874 + 0.330306i \(0.107152\pi\)
\(450\) 22.1595 12.7938i 1.04461 0.603106i
\(451\) 15.7121i 0.739852i
\(452\) 4.23762 + 4.23762i 0.199321 + 0.199321i
\(453\) 0.399202 1.48984i 0.0187561 0.0699989i
\(454\) −25.6284 6.86711i −1.20280 0.322290i
\(455\) 3.42179 5.92672i 0.160416 0.277849i
\(456\) 7.16640 + 26.7454i 0.335597 + 1.25247i
\(457\) 28.6613i 1.34072i 0.742036 + 0.670360i \(0.233860\pi\)
−0.742036 + 0.670360i \(0.766140\pi\)
\(458\) −9.55510 + 16.5499i −0.446480 + 0.773327i
\(459\) 13.2529 + 2.22042i 0.618592 + 0.103640i
\(460\) 10.6664 18.4748i 0.497324 0.861390i
\(461\) 26.0675 15.0501i 1.21408 0.700951i 0.250437 0.968133i \(-0.419426\pi\)
0.963646 + 0.267181i \(0.0860923\pi\)
\(462\) −3.13541 + 3.13541i −0.145872 + 0.145872i
\(463\) 12.3316 + 21.3589i 0.573098 + 0.992635i 0.996245 + 0.0865738i \(0.0275918\pi\)
−0.423148 + 0.906061i \(0.639075\pi\)
\(464\) 7.32534 + 27.3385i 0.340070 + 1.26916i
\(465\) 46.1112 + 46.1112i 2.13835 + 2.13835i
\(466\) −9.55613 + 2.56056i −0.442679 + 0.118616i
\(467\) −20.7106 + 11.9573i −0.958371 + 0.553316i −0.895671 0.444716i \(-0.853304\pi\)
−0.0626999 + 0.998032i \(0.519971\pi\)
\(468\) −3.75208 + 2.16626i −0.173440 + 0.100135i
\(469\) 4.18072 + 4.18072i 0.193048 + 0.193048i
\(470\) −4.09477 + 15.2819i −0.188878 + 0.704901i
\(471\) 30.1290 30.1290i 1.38827 1.38827i
\(472\) 23.0887 1.06274
\(473\) 12.0028 + 5.91911i 0.551888 + 0.272161i
\(474\) 19.1071i 0.877620i
\(475\) −77.0626 −3.53587
\(476\) 1.56460 1.89726i 0.0717133 0.0869608i
\(477\) 16.2198 0.742653
\(478\) 23.0528 13.3095i 1.05441 0.608763i
\(479\) 5.22964 + 1.40128i 0.238948 + 0.0640260i 0.376306 0.926496i \(-0.377194\pi\)
−0.137358 + 0.990522i \(0.543861\pi\)
\(480\) −21.4178 + 37.0968i −0.977585 + 1.69323i
\(481\) −4.23285 + 4.23285i −0.193001 + 0.193001i
\(482\) −33.0053 + 8.84373i −1.50335 + 0.402821i
\(483\) −1.77086 + 6.60892i −0.0805767 + 0.300716i
\(484\) 6.86534i 0.312061i
\(485\) −44.7156 + 25.8166i −2.03043 + 1.17227i
\(486\) −23.3843 + 6.26579i −1.06073 + 0.284222i
\(487\) −9.74484 + 2.61112i −0.441581 + 0.118321i −0.472757 0.881193i \(-0.656741\pi\)
0.0311765 + 0.999514i \(0.490075\pi\)
\(488\) −1.65535 6.17786i −0.0749343 0.279659i
\(489\) −31.4825 −1.42369
\(490\) 11.6029 + 43.3028i 0.524168 + 1.95622i
\(491\) 4.53051 + 2.61569i 0.204459 + 0.118045i 0.598734 0.800948i \(-0.295671\pi\)
−0.394275 + 0.918993i \(0.629004\pi\)
\(492\) −8.16203 14.1370i −0.367973 0.637347i
\(493\) 18.0063 + 14.8491i 0.810963 + 0.668770i
\(494\) 39.0290 1.75600
\(495\) 11.5622i 0.519684i
\(496\) −38.3460 10.2748i −1.72179 0.461351i
\(497\) −2.42694 4.20359i −0.108863 0.188557i
\(498\) −14.4299 53.8533i −0.646621 2.41322i
\(499\) −22.0107 + 5.89774i −0.985333 + 0.264019i −0.715289 0.698829i \(-0.753705\pi\)
−0.270044 + 0.962848i \(0.587038\pi\)
\(500\) −14.1990 14.1990i −0.634998 0.634998i
\(501\) 35.1994 + 20.3224i 1.57259 + 0.907937i
\(502\) 7.77530 + 4.48907i 0.347029 + 0.200357i
\(503\) 26.5597 7.11665i 1.18424 0.317316i 0.387633 0.921814i \(-0.373293\pi\)
0.796607 + 0.604498i \(0.206626\pi\)
\(504\) 0.386152 1.44114i 0.0172006 0.0641934i
\(505\) −10.8070 + 10.8070i −0.480907 + 0.480907i
\(506\) −9.65491 16.7228i −0.429213 0.743419i
\(507\) 2.30850 + 8.61542i 0.102524 + 0.382624i
\(508\) 3.57880i 0.158784i
\(509\) −7.70415 + 13.3440i −0.341480 + 0.591461i −0.984708 0.174214i \(-0.944262\pi\)
0.643227 + 0.765675i \(0.277595\pi\)
\(510\) 5.61459 + 58.4285i 0.248618 + 2.58726i
\(511\) −2.30962 4.00038i −0.102172 0.176966i
\(512\) 8.82125i 0.389848i
\(513\) 23.9292 + 6.41182i 1.05650 + 0.283089i
\(514\) 28.4653 1.25555
\(515\) 43.4913 43.4913i 1.91646 1.91646i
\(516\) 13.8744 0.909381i 0.610788 0.0400333i
\(517\) 3.38545 + 3.38545i 0.148892 + 0.148892i
\(518\) 2.07992i 0.0913862i
\(519\) 16.7024 9.64314i 0.733155 0.423287i
\(520\) −14.0630 14.0630i −0.616703 0.616703i
\(521\) 10.4371 38.9518i 0.457257 1.70651i −0.224108 0.974564i \(-0.571947\pi\)
0.681366 0.731943i \(-0.261386\pi\)
\(522\) −13.8000 3.69771i −0.604011 0.161844i
\(523\) −10.4877 + 18.1653i −0.458596 + 0.794311i −0.998887 0.0471668i \(-0.984981\pi\)
0.540291 + 0.841478i \(0.318314\pi\)
\(524\) 9.34590 9.34590i 0.408278 0.408278i
\(525\) 11.0051 + 6.35382i 0.480304 + 0.277303i
\(526\) 16.0245 + 27.7552i 0.698699 + 1.21018i
\(527\) −30.6656 + 11.4586i −1.33582 + 0.499146i
\(528\) 10.7704 + 18.6549i 0.468722 + 0.811850i
\(529\) −5.88541 3.39794i −0.255888 0.147737i
\(530\) −19.4433 72.5635i −0.844564 3.15196i
\(531\) −9.74134 + 16.8725i −0.422738 + 0.732204i
\(532\) 3.20581 3.20581i 0.138990 0.138990i
\(533\) 22.0281 5.90241i 0.954142 0.255662i
\(534\) −1.32598 + 0.355296i −0.0573809 + 0.0153752i
\(535\) 5.33175 3.07829i 0.230512 0.133086i
\(536\) 14.8801 8.59103i 0.642723 0.371076i
\(537\) 34.3135 + 34.3135i 1.48074 + 1.48074i
\(538\) 28.8842 + 28.8842i 1.24529 + 1.24529i
\(539\) 13.1043 + 3.51128i 0.564442 + 0.151242i
\(540\) 6.36851 + 11.0306i 0.274057 + 0.474681i
\(541\) 6.59755 + 24.6224i 0.283651 + 1.05860i 0.949820 + 0.312798i \(0.101266\pi\)
−0.666169 + 0.745801i \(0.732067\pi\)
\(542\) −18.6938 10.7929i −0.802966 0.463593i
\(543\) 21.3064 0.914344
\(544\) −12.4840 17.5091i −0.535246 0.750695i
\(545\) 19.5856 33.9232i 0.838953 1.45311i
\(546\) −5.57365 3.21795i −0.238530 0.137715i
\(547\) 12.4663 + 3.34035i 0.533022 + 0.142823i 0.515284 0.857020i \(-0.327687\pi\)
0.0177388 + 0.999843i \(0.494353\pi\)
\(548\) 6.56904 0.280615
\(549\) 5.21300 + 1.39682i 0.222485 + 0.0596148i
\(550\) −34.6418 + 9.28224i −1.47713 + 0.395796i
\(551\) 30.4253 + 30.4253i 1.29616 + 1.29616i
\(552\) 17.2197 + 9.94182i 0.732921 + 0.423152i
\(553\) −2.68533 + 1.55037i −0.114192 + 0.0659286i
\(554\) 0.203331 0.758843i 0.00863873 0.0322402i
\(555\) −11.7362 11.7362i −0.498175 0.498175i
\(556\) −7.98309 2.13906i −0.338558 0.0907164i
\(557\) −2.17690 −0.0922381 −0.0461190 0.998936i \(-0.514685\pi\)
−0.0461190 + 0.998936i \(0.514685\pi\)
\(558\) 14.1699 14.1699i 0.599859 0.599859i
\(559\) −3.78954 + 19.0513i −0.160280 + 0.805784i
\(560\) −11.5514 −0.488137
\(561\) 16.1623 + 7.36937i 0.682372 + 0.311135i
\(562\) 21.5386 + 37.3060i 0.908551 + 1.57366i
\(563\) 16.8629i 0.710688i 0.934736 + 0.355344i \(0.115636\pi\)
−0.934736 + 0.355344i \(0.884364\pi\)
\(564\) 4.80474 + 1.28743i 0.202316 + 0.0542104i
\(565\) −11.6067 20.1033i −0.488296 0.845754i
\(566\) 5.11941 + 19.1059i 0.215185 + 0.803081i
\(567\) −4.72275 4.72275i −0.198337 0.198337i
\(568\) −13.6252 + 3.65086i −0.571700 + 0.153187i
\(569\) 0.0673715 0.0388969i 0.00282436 0.00163064i −0.498587 0.866840i \(-0.666148\pi\)
0.501412 + 0.865209i \(0.332814\pi\)
\(570\) 108.214i 4.53259i
\(571\) 3.45096 12.8792i 0.144418 0.538976i −0.855362 0.518030i \(-0.826665\pi\)
0.999781 0.0209462i \(-0.00666786\pi\)
\(572\) 5.86559 1.57168i 0.245253 0.0657152i
\(573\) 3.98759 + 14.8819i 0.166584 + 0.621700i
\(574\) 3.96188 6.86218i 0.165366 0.286422i
\(575\) −39.1309 + 39.1309i −1.63187 + 1.63187i
\(576\) −1.21032 0.698781i −0.0504302 0.0291159i
\(577\) −3.39669 + 5.88324i −0.141406 + 0.244922i −0.928026 0.372515i \(-0.878496\pi\)
0.786620 + 0.617437i \(0.211829\pi\)
\(578\) −27.8576 9.60425i −1.15873 0.399484i
\(579\) −3.50105 6.06399i −0.145498 0.252011i
\(580\) 22.1225i 0.918585i
\(581\) 6.39770 6.39770i 0.265421 0.265421i
\(582\) 24.2786 + 42.0518i 1.00638 + 1.74310i
\(583\) −21.9592 5.88394i −0.909455 0.243688i
\(584\) −12.9665 + 3.47437i −0.536558 + 0.143770i
\(585\) 16.2101 4.34348i 0.670205 0.179581i
\(586\) 17.5183i 0.723673i
\(587\) 12.7926 + 7.38579i 0.528006 + 0.304844i 0.740204 0.672382i \(-0.234729\pi\)
−0.212198 + 0.977227i \(0.568062\pi\)
\(588\) 13.6147 3.64805i 0.561461 0.150443i
\(589\) −58.2960 + 15.6204i −2.40205 + 0.643626i
\(590\) 87.1609 + 23.3547i 3.58836 + 0.961498i
\(591\) 3.09181 0.127180
\(592\) 9.75984 + 2.61514i 0.401127 + 0.107482i
\(593\) −28.3325 16.3578i −1.16348 0.671733i −0.211341 0.977412i \(-0.567783\pi\)
−0.952135 + 0.305679i \(0.901116\pi\)
\(594\) 11.5292 0.473047
\(595\) −7.75600 + 5.53003i −0.317965 + 0.226709i
\(596\) 3.45058 + 5.97657i 0.141341 + 0.244810i
\(597\) −12.4823 + 7.20666i −0.510867 + 0.294949i
\(598\) 19.8182 19.8182i 0.810425 0.810425i
\(599\) 13.7868 + 23.8794i 0.563312 + 0.975686i 0.997204 + 0.0747210i \(0.0238066\pi\)
−0.433892 + 0.900965i \(0.642860\pi\)
\(600\) 26.1131 26.1131i 1.06606 1.06606i
\(601\) 4.51316 + 4.51316i 0.184096 + 0.184096i 0.793138 0.609042i \(-0.208446\pi\)
−0.609042 + 0.793138i \(0.708446\pi\)
\(602\) 3.74963 + 5.61171i 0.152823 + 0.228716i
\(603\) 14.4986i 0.590427i
\(604\) 0.733928i 0.0298631i
\(605\) 6.88270 25.6866i 0.279822 1.04431i
\(606\) 10.1632 + 10.1632i 0.412853 + 0.412853i
\(607\) 26.2739 + 7.04008i 1.06643 + 0.285748i 0.749024 0.662543i \(-0.230523\pi\)
0.317402 + 0.948291i \(0.397189\pi\)
\(608\) −19.8221 34.3329i −0.803892 1.39238i
\(609\) −1.83640 6.85355i −0.0744148 0.277720i
\(610\) 24.9961i 1.01206i
\(611\) −3.47457 + 6.01813i −0.140566 + 0.243467i
\(612\) 6.00279 0.576827i 0.242648 0.0233169i
\(613\) −29.2381 −1.18091 −0.590457 0.807069i \(-0.701053\pi\)
−0.590457 + 0.807069i \(0.701053\pi\)
\(614\) −21.2873 + 12.2902i −0.859085 + 0.495993i
\(615\) 16.3654 + 61.0763i 0.659915 + 2.46284i
\(616\) −1.04558 + 1.81100i −0.0421277 + 0.0729674i
\(617\) 0.887747 + 3.31312i 0.0357394 + 0.133381i 0.981490 0.191511i \(-0.0613387\pi\)
−0.945751 + 0.324892i \(0.894672\pi\)
\(618\) −40.9004 40.9004i −1.64526 1.64526i
\(619\) 9.94965 2.66600i 0.399910 0.107156i −0.0532577 0.998581i \(-0.516960\pi\)
0.453168 + 0.891425i \(0.350294\pi\)
\(620\) −26.8725 15.5149i −1.07923 0.623092i
\(621\) 15.4066 8.89500i 0.618245 0.356944i
\(622\) −7.70307 + 28.7483i −0.308865 + 1.15270i
\(623\) −0.157525 0.157525i −0.00631111 0.00631111i
\(624\) −22.1079 + 22.1079i −0.885024 + 0.885024i
\(625\) 13.5452 + 23.4610i 0.541810 + 0.938442i
\(626\) 26.9208 + 7.21342i 1.07597 + 0.288306i
\(627\) 28.3604 + 16.3739i 1.13260 + 0.653909i
\(628\) −10.1374 + 17.5585i −0.404526 + 0.700660i
\(629\) 7.80503 2.91645i 0.311207 0.116287i
\(630\) 2.91548 5.04976i 0.116156 0.201187i
\(631\) −30.5057 17.6125i −1.21441 0.701141i −0.250695 0.968066i \(-0.580659\pi\)
−0.963717 + 0.266925i \(0.913992\pi\)
\(632\) 2.33223 + 8.70400i 0.0927711 + 0.346227i
\(633\) −18.1846 31.4967i −0.722773 1.25188i
\(634\) 34.4943 34.4943i 1.36994 1.36994i
\(635\) 3.58786 13.3901i 0.142380 0.531369i
\(636\) −22.8145 + 6.11312i −0.904653 + 0.242401i
\(637\) 19.6911i 0.780189i
\(638\) 17.3418 + 10.0123i 0.686568 + 0.396390i
\(639\) 3.08066 11.4972i 0.121869 0.454822i
\(640\) −12.1793 + 45.4538i −0.481429 + 1.79672i
\(641\) 6.15705 6.15705i 0.243189 0.243189i −0.574979 0.818168i \(-0.694990\pi\)
0.818168 + 0.574979i \(0.194990\pi\)
\(642\) −2.89490 5.01412i −0.114253 0.197892i
\(643\) 3.67456 3.67456i 0.144910 0.144910i −0.630930 0.775840i \(-0.717326\pi\)
0.775840 + 0.630930i \(0.217326\pi\)
\(644\) 3.25570i 0.128292i
\(645\) −52.8228 10.5071i −2.07989 0.413716i
\(646\) −49.4288 22.5376i −1.94475 0.886729i
\(647\) 5.13743 0.201973 0.100987 0.994888i \(-0.467800\pi\)
0.100987 + 0.994888i \(0.467800\pi\)
\(648\) −16.8093 + 9.70484i −0.660331 + 0.381242i
\(649\) 19.3090 19.3090i 0.757946 0.757946i
\(650\) −26.0271 45.0803i −1.02087 1.76820i
\(651\) 9.61304 + 2.57581i 0.376765 + 0.100954i
\(652\) 14.4701 3.87725i 0.566692 0.151845i
\(653\) 32.3685 + 32.3685i 1.26668 + 1.26668i 0.947794 + 0.318884i \(0.103308\pi\)
0.318884 + 0.947794i \(0.396692\pi\)
\(654\) −31.9023 18.4188i −1.24748 0.720232i
\(655\) −44.3372 + 25.5981i −1.73240 + 1.00020i
\(656\) −27.2188 27.2188i −1.06272 1.06272i
\(657\) 2.93174 10.9414i 0.114378 0.426864i
\(658\) 0.624921 + 2.33224i 0.0243620 + 0.0909201i
\(659\) −20.4611 + 35.4397i −0.797052 + 1.38053i 0.124476 + 0.992223i \(0.460275\pi\)
−0.921528 + 0.388312i \(0.873058\pi\)
\(660\) 4.35773 + 16.2633i 0.169624 + 0.633047i
\(661\) 21.8447i 0.849659i −0.905273 0.424830i \(-0.860334\pi\)
0.905273 0.424830i \(-0.139666\pi\)
\(662\) −0.630940 + 1.09282i −0.0245222 + 0.0424737i
\(663\) −4.26021 + 25.4277i −0.165453 + 0.987530i
\(664\) −13.1467 22.7708i −0.510192 0.883679i
\(665\) −15.2084 + 8.78060i −0.589758 + 0.340497i
\(666\) −3.60653 + 3.60653i −0.139750 + 0.139750i
\(667\) 30.8988 1.19641
\(668\) −18.6812 5.00562i −0.722799 0.193673i
\(669\) 12.7096 47.4330i 0.491383 1.83387i
\(670\) 64.8631 17.3800i 2.50588 0.671449i
\(671\) −6.55090 3.78217i −0.252895 0.146009i
\(672\) 6.53734i 0.252183i
\(673\) 0.841262 0.225415i 0.0324283 0.00868913i −0.242568 0.970134i \(-0.577990\pi\)
0.274997 + 0.961445i \(0.411323\pi\)
\(674\) −36.8109 + 9.86345i −1.41790 + 0.379926i
\(675\) −8.55166 31.9152i −0.329153 1.22842i
\(676\) −2.12207 3.67554i −0.0816181 0.141367i
\(677\) 22.7281 22.7281i 0.873514 0.873514i −0.119340 0.992853i \(-0.538078\pi\)
0.992853 + 0.119340i \(0.0380778\pi\)
\(678\) −18.9057 + 10.9152i −0.726070 + 0.419197i
\(679\) −3.93999 + 6.82426i −0.151203 + 0.261891i
\(680\) 9.68948 + 25.9310i 0.371574 + 0.994409i
\(681\) 16.1563 27.9835i 0.619110 1.07233i
\(682\) −24.3242 + 14.0436i −0.931423 + 0.537757i
\(683\) 33.5188 + 8.98135i 1.28256 + 0.343662i 0.834831 0.550506i \(-0.185565\pi\)
0.447732 + 0.894168i \(0.352232\pi\)
\(684\) 11.1176 0.425092
\(685\) −24.5780 6.58566i −0.939077 0.251625i
\(686\) 9.93231 + 9.93231i 0.379217 + 0.379217i
\(687\) −16.4567 16.4567i −0.627864 0.627864i
\(688\) 31.0471 10.5391i 1.18366 0.401798i
\(689\) 32.9968i 1.25708i
\(690\) 54.9490 + 54.9490i 2.09187 + 2.09187i
\(691\) 0.0903769 0.337291i 0.00343810 0.0128312i −0.964185 0.265229i \(-0.914552\pi\)
0.967624 + 0.252398i \(0.0812191\pi\)
\(692\) −6.48920 + 6.48920i −0.246682 + 0.246682i
\(693\) −0.882283 1.52816i −0.0335152 0.0580500i
\(694\) 60.5467 + 16.2234i 2.29832 + 0.615833i
\(695\) 27.7242 + 16.0066i 1.05164 + 0.607164i
\(696\) −20.6196 −0.781585
\(697\) −31.3061 5.24509i −1.18580 0.198672i
\(698\) 14.8668 + 25.7501i 0.562717 + 0.974654i
\(699\) 12.0485i 0.455715i
\(700\) −5.84071 1.56501i −0.220758 0.0591520i
\(701\) 14.8437 25.7100i 0.560639 0.971054i −0.436802 0.899558i \(-0.643889\pi\)
0.997441 0.0714969i \(-0.0227776\pi\)
\(702\) 4.33106 + 16.1637i 0.163465 + 0.610061i
\(703\) 14.8375 3.97571i 0.559608 0.149947i
\(704\) 1.38511 + 1.38511i 0.0522032 + 0.0522032i
\(705\) −16.6862 9.63378i −0.628439 0.362829i
\(706\) 15.4669 + 8.92983i 0.582105 + 0.336079i
\(707\) −0.603690 + 2.25300i −0.0227041 + 0.0847328i
\(708\) 7.34289 27.4040i 0.275963 1.02991i
\(709\) 25.9667 25.9667i 0.975200 0.975200i −0.0244998 0.999700i \(-0.507799\pi\)
0.999700 + 0.0244998i \(0.00779931\pi\)
\(710\) −55.1287 −2.06894
\(711\) −7.34461 1.96798i −0.275444 0.0738051i
\(712\) −0.560666 + 0.323701i −0.0210119 + 0.0121312i
\(713\) −21.6699 + 37.5333i −0.811543 + 1.40563i
\(714\) 5.20059 + 7.29395i 0.194627 + 0.272969i
\(715\) −23.5217 −0.879662
\(716\) −19.9971 11.5453i −0.747327 0.431470i
\(717\) 8.39039 + 31.3134i 0.313345 + 1.16942i
\(718\) −8.02788 + 13.9047i −0.299598 + 0.518918i
\(719\) 26.4920 + 7.09851i 0.987985 + 0.264730i 0.716404 0.697686i \(-0.245787\pi\)
0.271581 + 0.962416i \(0.412454\pi\)
\(720\) −20.0299 20.0299i −0.746470 0.746470i
\(721\) 2.42946 9.06687i 0.0904778 0.337668i
\(722\) −58.2126 33.6091i −2.16645 1.25080i
\(723\) 41.6134i 1.54762i
\(724\) −9.79288 + 2.62399i −0.363950 + 0.0975200i
\(725\) 14.8531 55.4324i 0.551629 2.05871i
\(726\) −24.1564 6.47268i −0.896527 0.240224i
\(727\) −34.7816 −1.28998 −0.644990 0.764191i \(-0.723138\pi\)
−0.644990 + 0.764191i \(0.723138\pi\)
\(728\) −2.93179 0.785570i −0.108659 0.0291151i
\(729\) 4.26109i 0.157818i
\(730\) −52.4636 −1.94176
\(731\) 15.8006 21.9395i 0.584407 0.811461i
\(732\) −7.85897 −0.290476
\(733\) 36.2757i 1.33987i −0.742418 0.669937i \(-0.766321\pi\)
0.742418 0.669937i \(-0.233679\pi\)
\(734\) −18.2158 4.88090i −0.672356 0.180157i
\(735\) −54.5966 −2.01383
\(736\) −27.4988 7.36829i −1.01362 0.271599i
\(737\) 5.25954 19.6289i 0.193738 0.723039i
\(738\) 18.7687 5.02905i 0.690884 0.185122i
\(739\) 24.3602i 0.896105i 0.894007 + 0.448053i \(0.147882\pi\)
−0.894007 + 0.448053i \(0.852118\pi\)
\(740\) 6.83961 + 3.94885i 0.251429 + 0.145163i
\(741\) −12.3020 + 45.9119i −0.451927 + 1.68661i
\(742\) −8.10690 8.10690i −0.297614 0.297614i
\(743\) −20.5701 5.51174i −0.754643 0.202206i −0.139066 0.990283i \(-0.544410\pi\)
−0.615577 + 0.788077i \(0.711077\pi\)
\(744\) 14.4609 25.0470i 0.530163 0.918269i
\(745\) −6.91861 25.8206i −0.253478 0.945994i
\(746\) −7.02520 4.05600i −0.257211 0.148501i
\(747\) 22.1869 0.811778
\(748\) −8.33613 1.39665i −0.304799 0.0510666i
\(749\) 0.469791 0.813702i 0.0171658 0.0297320i
\(750\) 63.3474 36.5737i 2.31312 1.33548i
\(751\) −7.88807 2.11360i −0.287840 0.0771264i 0.112010 0.993707i \(-0.464271\pi\)
−0.399850 + 0.916581i \(0.630938\pi\)
\(752\) 11.7296 0.427734
\(753\) −7.73153 + 7.73153i −0.281752 + 0.281752i
\(754\) −7.52246 + 28.0742i −0.273952 + 1.02240i
\(755\) 0.735785 2.74599i 0.0267780 0.0999367i
\(756\) 1.68343 + 0.971927i 0.0612256 + 0.0353486i
\(757\) 9.03853 + 5.21840i 0.328511 + 0.189666i 0.655180