Properties

Label 731.2.n.a.208.18
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 208.18
Character \(\chi\) = 731.208
Dual form 731.2.n.a.608.47

$q$-expansion

\(f(q)\) \(=\) \(q-1.62403i q^{2} +(-0.958554 - 0.256844i) q^{3} -0.637473 q^{4} +(3.71240 + 0.994733i) q^{5} +(-0.417122 + 1.55672i) q^{6} +(-0.920765 + 0.246718i) q^{7} -2.21278i q^{8} +(-1.74522 - 1.00760i) q^{9} +O(q^{10})\) \(q-1.62403i q^{2} +(-0.958554 - 0.256844i) q^{3} -0.637473 q^{4} +(3.71240 + 0.994733i) q^{5} +(-0.417122 + 1.55672i) q^{6} +(-0.920765 + 0.246718i) q^{7} -2.21278i q^{8} +(-1.74522 - 1.00760i) q^{9} +(1.61548 - 6.02904i) q^{10} +(1.86389 + 1.86389i) q^{11} +(0.611052 + 0.163731i) q^{12} +(-0.714120 + 1.23689i) q^{13} +(0.400678 + 1.49535i) q^{14} +(-3.30304 - 1.90701i) q^{15} -4.86857 q^{16} +(1.60840 - 3.79645i) q^{17} +(-1.63638 + 2.83429i) q^{18} +(3.40610 - 1.96651i) q^{19} +(-2.36655 - 0.634116i) q^{20} +0.945970 q^{21} +(3.02702 - 3.02702i) q^{22} +(1.26739 - 4.72997i) q^{23} +(-0.568340 + 2.12107i) q^{24} +(8.46226 + 4.88569i) q^{25} +(2.00875 + 1.15975i) q^{26} +(3.51922 + 3.51922i) q^{27} +(0.586963 - 0.157276i) q^{28} +(-2.32060 - 8.66060i) q^{29} +(-3.09704 + 5.36423i) q^{30} +(5.90527 + 1.58231i) q^{31} +3.48114i q^{32} +(-1.30791 - 2.26537i) q^{33} +(-6.16555 - 2.61209i) q^{34} -3.66366 q^{35} +(1.11253 + 0.642320i) q^{36} +(4.18869 + 1.12236i) q^{37} +(-3.19368 - 5.53161i) q^{38} +(1.00221 - 1.00221i) q^{39} +(2.20113 - 8.21473i) q^{40} +(-5.76895 - 5.76895i) q^{41} -1.53628i q^{42} +(4.36535 + 4.89323i) q^{43} +(-1.18818 - 1.18818i) q^{44} +(-5.47665 - 5.47665i) q^{45} +(-7.68161 - 2.05828i) q^{46} +4.05451 q^{47} +(4.66679 + 1.25046i) q^{48} +(-5.27524 + 3.04566i) q^{49} +(7.93450 - 13.7430i) q^{50} +(-2.51683 + 3.22600i) q^{51} +(0.455232 - 0.788485i) q^{52} +(3.82658 - 2.20928i) q^{53} +(5.71532 - 5.71532i) q^{54} +(5.06543 + 8.77358i) q^{55} +(0.545934 + 2.03745i) q^{56} +(-3.77002 + 1.01017i) q^{57} +(-14.0651 + 3.76872i) q^{58} +6.12726i q^{59} +(2.10560 + 1.21567i) q^{60} +(-13.2559 + 3.55192i) q^{61} +(2.56972 - 9.59034i) q^{62} +(1.85553 + 0.497188i) q^{63} -4.08367 q^{64} +(-3.88147 + 3.88147i) q^{65} +(-3.67903 + 2.12409i) q^{66} +(0.708543 + 1.22723i) q^{67} +(-1.02531 + 2.42014i) q^{68} +(-2.42972 + 4.20841i) q^{69} +5.94989i q^{70} +(2.16988 + 8.09810i) q^{71} +(-2.22961 + 3.86179i) q^{72} +(-2.56990 - 9.59101i) q^{73} +(1.82274 - 6.80256i) q^{74} +(-6.85667 - 6.85667i) q^{75} +(-2.17130 + 1.25360i) q^{76} +(-2.17606 - 1.25635i) q^{77} +(-1.62762 - 1.62762i) q^{78} +(-1.84476 + 0.494303i) q^{79} +(-18.0741 - 4.84293i) q^{80} +(0.553337 + 0.958407i) q^{81} +(-9.36895 + 9.36895i) q^{82} +(-15.2694 + 8.81578i) q^{83} -0.603031 q^{84} +(9.74748 - 12.4940i) q^{85} +(7.94675 - 7.08947i) q^{86} +8.89768i q^{87} +(4.12439 - 4.12439i) q^{88} +(-0.391778 - 0.678579i) q^{89} +(-8.89424 + 8.89424i) q^{90} +(0.352373 - 1.31507i) q^{91} +(-0.807928 + 3.01523i) q^{92} +(-5.25411 - 3.03346i) q^{93} -6.58465i q^{94} +(14.6009 - 3.91231i) q^{95} +(0.894109 - 3.33686i) q^{96} +(-0.972851 + 0.972851i) q^{97} +(4.94625 + 8.56715i) q^{98} +(-1.37484 - 5.13096i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.62403i 1.14836i −0.818728 0.574181i \(-0.805320\pi\)
0.818728 0.574181i \(-0.194680\pi\)
\(3\) −0.958554 0.256844i −0.553421 0.148289i −0.0287390 0.999587i \(-0.509149\pi\)
−0.524682 + 0.851298i \(0.675816\pi\)
\(4\) −0.637473 −0.318737
\(5\) 3.71240 + 0.994733i 1.66023 + 0.444858i 0.962452 0.271452i \(-0.0875039\pi\)
0.697782 + 0.716311i \(0.254171\pi\)
\(6\) −0.417122 + 1.55672i −0.170289 + 0.635528i
\(7\) −0.920765 + 0.246718i −0.348016 + 0.0932507i −0.428593 0.903498i \(-0.640991\pi\)
0.0805766 + 0.996748i \(0.474324\pi\)
\(8\) 2.21278i 0.782337i
\(9\) −1.74522 1.00760i −0.581740 0.335868i
\(10\) 1.61548 6.02904i 0.510859 1.90655i
\(11\) 1.86389 + 1.86389i 0.561985 + 0.561985i 0.929871 0.367886i \(-0.119918\pi\)
−0.367886 + 0.929871i \(0.619918\pi\)
\(12\) 0.611052 + 0.163731i 0.176396 + 0.0472650i
\(13\) −0.714120 + 1.23689i −0.198061 + 0.343052i −0.947900 0.318569i \(-0.896798\pi\)
0.749839 + 0.661621i \(0.230131\pi\)
\(14\) 0.400678 + 1.49535i 0.107086 + 0.399649i
\(15\) −3.30304 1.90701i −0.852841 0.492388i
\(16\) −4.86857 −1.21714
\(17\) 1.60840 3.79645i 0.390095 0.920775i
\(18\) −1.63638 + 2.83429i −0.385698 + 0.668048i
\(19\) 3.40610 1.96651i 0.781413 0.451149i −0.0555177 0.998458i \(-0.517681\pi\)
0.836931 + 0.547309i \(0.184348\pi\)
\(20\) −2.36655 0.634116i −0.529177 0.141793i
\(21\) 0.945970 0.206428
\(22\) 3.02702 3.02702i 0.645362 0.645362i
\(23\) 1.26739 4.72997i 0.264269 0.986266i −0.698427 0.715681i \(-0.746116\pi\)
0.962696 0.270585i \(-0.0872171\pi\)
\(24\) −0.568340 + 2.12107i −0.116012 + 0.432962i
\(25\) 8.46226 + 4.88569i 1.69245 + 0.977137i
\(26\) 2.00875 + 1.15975i 0.393948 + 0.227446i
\(27\) 3.51922 + 3.51922i 0.677274 + 0.677274i
\(28\) 0.586963 0.157276i 0.110925 0.0297224i
\(29\) −2.32060 8.66060i −0.430925 1.60823i −0.750635 0.660717i \(-0.770252\pi\)
0.319710 0.947515i \(-0.396414\pi\)
\(30\) −3.09704 + 5.36423i −0.565440 + 0.979371i
\(31\) 5.90527 + 1.58231i 1.06062 + 0.284192i 0.746633 0.665236i \(-0.231669\pi\)
0.313985 + 0.949428i \(0.398336\pi\)
\(32\) 3.48114i 0.615385i
\(33\) −1.30791 2.26537i −0.227678 0.394350i
\(34\) −6.16555 2.61209i −1.05738 0.447970i
\(35\) −3.66366 −0.619272
\(36\) 1.11253 + 0.642320i 0.185422 + 0.107053i
\(37\) 4.18869 + 1.12236i 0.688616 + 0.184514i 0.586126 0.810220i \(-0.300652\pi\)
0.102490 + 0.994734i \(0.467319\pi\)
\(38\) −3.19368 5.53161i −0.518083 0.897346i
\(39\) 1.00221 1.00221i 0.160482 0.160482i
\(40\) 2.20113 8.21473i 0.348029 1.29886i
\(41\) −5.76895 5.76895i −0.900958 0.900958i 0.0945606 0.995519i \(-0.469855\pi\)
−0.995519 + 0.0945606i \(0.969855\pi\)
\(42\) 1.53628i 0.237054i
\(43\) 4.36535 + 4.89323i 0.665710 + 0.746210i
\(44\) −1.18818 1.18818i −0.179125 0.179125i
\(45\) −5.47665 5.47665i −0.816411 0.816411i
\(46\) −7.68161 2.05828i −1.13259 0.303477i
\(47\) 4.05451 0.591411 0.295706 0.955279i \(-0.404445\pi\)
0.295706 + 0.955279i \(0.404445\pi\)
\(48\) 4.66679 + 1.25046i 0.673593 + 0.180489i
\(49\) −5.27524 + 3.04566i −0.753606 + 0.435094i
\(50\) 7.93450 13.7430i 1.12211 1.94355i
\(51\) −2.51683 + 3.22600i −0.352427 + 0.451730i
\(52\) 0.455232 0.788485i 0.0631293 0.109343i
\(53\) 3.82658 2.20928i 0.525621 0.303468i −0.213610 0.976919i \(-0.568522\pi\)
0.739231 + 0.673451i \(0.235189\pi\)
\(54\) 5.71532 5.71532i 0.777756 0.777756i
\(55\) 5.06543 + 8.77358i 0.683022 + 1.18303i
\(56\) 0.545934 + 2.03745i 0.0729535 + 0.272266i
\(57\) −3.77002 + 1.01017i −0.499351 + 0.133801i
\(58\) −14.0651 + 3.76872i −1.84683 + 0.494858i
\(59\) 6.12726i 0.797701i 0.917016 + 0.398851i \(0.130591\pi\)
−0.917016 + 0.398851i \(0.869409\pi\)
\(60\) 2.10560 + 1.21567i 0.271832 + 0.156942i
\(61\) −13.2559 + 3.55192i −1.69725 + 0.454777i −0.972245 0.233967i \(-0.924829\pi\)
−0.725005 + 0.688744i \(0.758163\pi\)
\(62\) 2.56972 9.59034i 0.326355 1.21797i
\(63\) 1.85553 + 0.497188i 0.233775 + 0.0626398i
\(64\) −4.08367 −0.510459
\(65\) −3.88147 + 3.88147i −0.481437 + 0.481437i
\(66\) −3.67903 + 2.12409i −0.452857 + 0.261457i
\(67\) 0.708543 + 1.22723i 0.0865623 + 0.149930i 0.906056 0.423158i \(-0.139079\pi\)
−0.819494 + 0.573088i \(0.805745\pi\)
\(68\) −1.02531 + 2.42014i −0.124337 + 0.293485i
\(69\) −2.42972 + 4.20841i −0.292504 + 0.506633i
\(70\) 5.94989i 0.711148i
\(71\) 2.16988 + 8.09810i 0.257517 + 0.961068i 0.966673 + 0.256016i \(0.0824098\pi\)
−0.709155 + 0.705052i \(0.750924\pi\)
\(72\) −2.22961 + 3.86179i −0.262762 + 0.455117i
\(73\) −2.56990 9.59101i −0.300784 1.12254i −0.936514 0.350630i \(-0.885967\pi\)
0.635730 0.771912i \(-0.280699\pi\)
\(74\) 1.82274 6.80256i 0.211889 0.790781i
\(75\) −6.85667 6.85667i −0.791740 0.791740i
\(76\) −2.17130 + 1.25360i −0.249065 + 0.143798i
\(77\) −2.17606 1.25635i −0.247985 0.143174i
\(78\) −1.62762 1.62762i −0.184292 0.184292i
\(79\) −1.84476 + 0.494303i −0.207552 + 0.0556134i −0.361097 0.932528i \(-0.617598\pi\)
0.153545 + 0.988142i \(0.450931\pi\)
\(80\) −18.0741 4.84293i −2.02074 0.541456i
\(81\) 0.553337 + 0.958407i 0.0614819 + 0.106490i
\(82\) −9.36895 + 9.36895i −1.03463 + 1.03463i
\(83\) −15.2694 + 8.81578i −1.67603 + 0.967658i −0.711883 + 0.702298i \(0.752157\pi\)
−0.964150 + 0.265359i \(0.914509\pi\)
\(84\) −0.603031 −0.0657960
\(85\) 9.74748 12.4940i 1.05726 1.35516i
\(86\) 7.94675 7.08947i 0.856920 0.764477i
\(87\) 8.89768i 0.953932i
\(88\) 4.12439 4.12439i 0.439662 0.439662i
\(89\) −0.391778 0.678579i −0.0415283 0.0719292i 0.844514 0.535533i \(-0.179889\pi\)
−0.886042 + 0.463604i \(0.846556\pi\)
\(90\) −8.89424 + 8.89424i −0.937535 + 0.937535i
\(91\) 0.352373 1.31507i 0.0369387 0.137857i
\(92\) −0.807928 + 3.01523i −0.0842323 + 0.314359i
\(93\) −5.25411 3.03346i −0.544826 0.314556i
\(94\) 6.58465i 0.679155i
\(95\) 14.6009 3.91231i 1.49803 0.401395i
\(96\) 0.894109 3.33686i 0.0912546 0.340567i
\(97\) −0.972851 + 0.972851i −0.0987781 + 0.0987781i −0.754769 0.655991i \(-0.772251\pi\)
0.655991 + 0.754769i \(0.272251\pi\)
\(98\) 4.94625 + 8.56715i 0.499646 + 0.865413i
\(99\) −1.37484 5.13096i −0.138176 0.515681i
\(100\) −5.39446 3.11449i −0.539446 0.311449i
\(101\) 1.22183 2.11628i 0.121577 0.210578i −0.798813 0.601580i \(-0.794538\pi\)
0.920390 + 0.391002i \(0.127872\pi\)
\(102\) 5.23911 + 4.08741i 0.518749 + 0.404714i
\(103\) 4.03043 6.98091i 0.397130 0.687850i −0.596240 0.802806i \(-0.703339\pi\)
0.993371 + 0.114956i \(0.0366727\pi\)
\(104\) 2.73697 + 1.58019i 0.268382 + 0.154951i
\(105\) 3.51182 + 0.940988i 0.342718 + 0.0918310i
\(106\) −3.58793 6.21448i −0.348491 0.603604i
\(107\) −11.4086 + 11.4086i −1.10291 + 1.10291i −0.108857 + 0.994057i \(0.534719\pi\)
−0.994057 + 0.108857i \(0.965281\pi\)
\(108\) −2.24341 2.24341i −0.215872 0.215872i
\(109\) −1.62509 + 6.06491i −0.155655 + 0.580913i 0.843393 + 0.537297i \(0.180555\pi\)
−0.999048 + 0.0436162i \(0.986112\pi\)
\(110\) 14.2486 8.22641i 1.35855 0.784357i
\(111\) −3.72681 2.15168i −0.353733 0.204228i
\(112\) 4.48281 1.20117i 0.423586 0.113499i
\(113\) 14.4554 + 14.4554i 1.35985 + 1.35985i 0.874091 + 0.485761i \(0.161458\pi\)
0.485761 + 0.874091i \(0.338542\pi\)
\(114\) 1.64055 + 6.12262i 0.153652 + 0.573436i
\(115\) 9.41011 16.2988i 0.877497 1.51987i
\(116\) 1.47932 + 5.52090i 0.137351 + 0.512603i
\(117\) 2.49259 1.43910i 0.230440 0.133045i
\(118\) 9.95085 0.916050
\(119\) −0.544305 + 3.89246i −0.0498964 + 0.356821i
\(120\) −4.21980 + 7.30891i −0.385214 + 0.667209i
\(121\) 4.05181i 0.368347i
\(122\) 5.76842 + 21.5280i 0.522248 + 1.94906i
\(123\) 4.04813 + 7.01157i 0.365008 + 0.632212i
\(124\) −3.76445 1.00868i −0.338058 0.0905823i
\(125\) 12.9670 + 12.9670i 1.15980 + 1.15980i
\(126\) 0.807448 3.01344i 0.0719332 0.268458i
\(127\) 8.96894i 0.795865i 0.917415 + 0.397932i \(0.130272\pi\)
−0.917415 + 0.397932i \(0.869728\pi\)
\(128\) 13.5943i 1.20158i
\(129\) −2.92763 5.81164i −0.257764 0.511686i
\(130\) 6.30363 + 6.30363i 0.552865 + 0.552865i
\(131\) 8.56420 8.56420i 0.748258 0.748258i −0.225894 0.974152i \(-0.572530\pi\)
0.974152 + 0.225894i \(0.0725303\pi\)
\(132\) 0.833759 + 1.44411i 0.0725694 + 0.125694i
\(133\) −2.65104 + 2.65104i −0.229875 + 0.229875i
\(134\) 1.99306 1.15069i 0.172174 0.0994049i
\(135\) 9.56405 + 16.5654i 0.823142 + 1.42572i
\(136\) −8.40073 3.55905i −0.720357 0.305186i
\(137\) 14.6242 1.24943 0.624713 0.780854i \(-0.285216\pi\)
0.624713 + 0.780854i \(0.285216\pi\)
\(138\) 6.83458 + 3.94595i 0.581798 + 0.335901i
\(139\) −5.90566 1.58242i −0.500911 0.134219i −0.000488383 1.00000i \(-0.500155\pi\)
−0.500423 + 0.865781i \(0.666822\pi\)
\(140\) 2.33548 0.197384
\(141\) −3.88647 1.04138i −0.327300 0.0876997i
\(142\) 13.1516 3.52395i 1.10365 0.295723i
\(143\) −3.63647 + 0.974390i −0.304097 + 0.0814826i
\(144\) 8.49673 + 4.90559i 0.708061 + 0.408799i
\(145\) 34.4599i 2.86174i
\(146\) −15.5761 + 4.17360i −1.28909 + 0.345409i
\(147\) 5.83886 1.56452i 0.481581 0.129039i
\(148\) −2.67018 0.715472i −0.219487 0.0588114i
\(149\) 0.0909165 + 0.157472i 0.00744817 + 0.0129006i 0.869725 0.493536i \(-0.164296\pi\)
−0.862277 + 0.506436i \(0.830962\pi\)
\(150\) −11.1354 + 11.1354i −0.909204 + 0.909204i
\(151\) 18.8861i 1.53693i 0.639890 + 0.768466i \(0.278980\pi\)
−0.639890 + 0.768466i \(0.721020\pi\)
\(152\) −4.35147 7.53697i −0.352951 0.611329i
\(153\) −6.63233 + 5.00501i −0.536192 + 0.404631i
\(154\) −2.04035 + 3.53399i −0.164416 + 0.284777i
\(155\) 20.3487 + 11.7483i 1.63445 + 0.943649i
\(156\) −0.638882 + 0.638882i −0.0511515 + 0.0511515i
\(157\) −2.87972 + 4.98782i −0.229826 + 0.398071i −0.957757 0.287580i \(-0.907149\pi\)
0.727930 + 0.685651i \(0.240483\pi\)
\(158\) 0.802763 + 2.99595i 0.0638644 + 0.238345i
\(159\) −4.23542 + 1.13488i −0.335891 + 0.0900017i
\(160\) −3.46281 + 12.9234i −0.273759 + 1.02168i
\(161\) 4.66787i 0.367880i
\(162\) 1.55648 0.898635i 0.122289 0.0706035i
\(163\) 0.680950 0.182460i 0.0533361 0.0142914i −0.232052 0.972703i \(-0.574544\pi\)
0.285388 + 0.958412i \(0.407877\pi\)
\(164\) 3.67755 + 3.67755i 0.287168 + 0.287168i
\(165\) −2.60205 9.71097i −0.202569 0.755998i
\(166\) 14.3171 + 24.7979i 1.11122 + 1.92469i
\(167\) 23.2980 + 6.24267i 1.80285 + 0.483073i 0.994418 0.105515i \(-0.0336490\pi\)
0.808434 + 0.588587i \(0.200316\pi\)
\(168\) 2.09323i 0.161496i
\(169\) 5.48007 + 9.49175i 0.421544 + 0.730135i
\(170\) −20.2906 15.8302i −1.55622 1.21412i
\(171\) −7.92586 −0.606106
\(172\) −2.78280 3.11930i −0.212186 0.237844i
\(173\) 4.29810 4.29810i 0.326779 0.326779i −0.524581 0.851360i \(-0.675778\pi\)
0.851360 + 0.524581i \(0.175778\pi\)
\(174\) 14.4501 1.09546
\(175\) −8.99713 2.41077i −0.680119 0.182237i
\(176\) −9.07450 9.07450i −0.684016 0.684016i
\(177\) 1.57375 5.87331i 0.118290 0.441465i
\(178\) −1.10203 + 0.636259i −0.0826008 + 0.0476896i
\(179\) −19.1850 11.0765i −1.43395 0.827893i −0.436534 0.899688i \(-0.643794\pi\)
−0.997419 + 0.0717946i \(0.977127\pi\)
\(180\) 3.49122 + 3.49122i 0.260220 + 0.260220i
\(181\) −19.3069 + 5.17327i −1.43507 + 0.384526i −0.890804 0.454387i \(-0.849858\pi\)
−0.544266 + 0.838913i \(0.683192\pi\)
\(182\) −2.13572 0.572264i −0.158310 0.0424190i
\(183\) 13.6188 1.00673
\(184\) −10.4664 2.80446i −0.771593 0.206748i
\(185\) 14.4336 + 8.33326i 1.06118 + 0.612673i
\(186\) −4.92644 + 8.53284i −0.361224 + 0.625658i
\(187\) 10.0741 4.07829i 0.736688 0.298234i
\(188\) −2.58464 −0.188504
\(189\) −4.10863 2.37212i −0.298859 0.172546i
\(190\) −6.35371 23.7124i −0.460947 1.72028i
\(191\) −1.30186 2.25489i −0.0941995 0.163158i 0.815075 0.579356i \(-0.196696\pi\)
−0.909274 + 0.416198i \(0.863362\pi\)
\(192\) 3.91442 + 1.04887i 0.282499 + 0.0756953i
\(193\) −13.4522 13.4522i −0.968307 0.968307i 0.0312057 0.999513i \(-0.490065\pi\)
−0.999513 + 0.0312057i \(0.990065\pi\)
\(194\) 1.57994 + 1.57994i 0.113433 + 0.113433i
\(195\) 4.71753 2.72367i 0.337829 0.195046i
\(196\) 3.36282 1.94153i 0.240202 0.138680i
\(197\) 11.6379 3.11837i 0.829168 0.222175i 0.180817 0.983517i \(-0.442126\pi\)
0.648351 + 0.761342i \(0.275459\pi\)
\(198\) −8.33284 + 2.23278i −0.592189 + 0.158677i
\(199\) −2.07662 + 2.07662i −0.147208 + 0.147208i −0.776869 0.629662i \(-0.783193\pi\)
0.629662 + 0.776869i \(0.283193\pi\)
\(200\) 10.8110 18.7251i 0.764451 1.32407i
\(201\) −0.363969 1.35835i −0.0256724 0.0958108i
\(202\) −3.43690 1.98429i −0.241819 0.139614i
\(203\) 4.27345 + 7.40184i 0.299938 + 0.519507i
\(204\) 1.60441 2.05648i 0.112331 0.143983i
\(205\) −15.6781 27.1552i −1.09500 1.89660i
\(206\) −11.3372 6.54554i −0.789901 0.456050i
\(207\) −6.97781 + 6.97781i −0.484991 + 0.484991i
\(208\) 3.47674 6.02190i 0.241069 0.417544i
\(209\) 10.0140 + 2.68324i 0.692681 + 0.185603i
\(210\) 1.52819 5.70329i 0.105455 0.393565i
\(211\) −1.25449 1.25449i −0.0863626 0.0863626i 0.662606 0.748968i \(-0.269451\pi\)
−0.748968 + 0.662606i \(0.769451\pi\)
\(212\) −2.43934 + 1.40835i −0.167535 + 0.0967262i
\(213\) 8.31979i 0.570062i
\(214\) 18.5280 + 18.5280i 1.26655 + 1.26655i
\(215\) 11.3385 + 22.5080i 0.773277 + 1.53503i
\(216\) 7.78728 7.78728i 0.529857 0.529857i
\(217\) −5.82775 −0.395613
\(218\) 9.84960 + 2.63919i 0.667099 + 0.178749i
\(219\) 9.85356i 0.665842i
\(220\) −3.22907 5.59292i −0.217704 0.377075i
\(221\) 3.54721 + 4.70054i 0.238611 + 0.316192i
\(222\) −3.49439 + 6.05246i −0.234528 + 0.406214i
\(223\) 6.24380i 0.418116i −0.977903 0.209058i \(-0.932960\pi\)
0.977903 0.209058i \(-0.0670397\pi\)
\(224\) −0.858861 3.20531i −0.0573850 0.214164i
\(225\) −9.84566 17.0532i −0.656378 1.13688i
\(226\) 23.4761 23.4761i 1.56160 1.56160i
\(227\) −6.64712 + 24.8074i −0.441185 + 1.64652i 0.284632 + 0.958637i \(0.408129\pi\)
−0.725817 + 0.687888i \(0.758538\pi\)
\(228\) 2.40328 0.643958i 0.159161 0.0426472i
\(229\) −3.25385 1.87861i −0.215020 0.124142i 0.388622 0.921397i \(-0.372951\pi\)
−0.603642 + 0.797255i \(0.706285\pi\)
\(230\) −26.4697 15.2823i −1.74536 1.00769i
\(231\) 1.76319 + 1.76319i 0.116009 + 0.116009i
\(232\) −19.1640 + 5.13499i −1.25818 + 0.337129i
\(233\) 0.540404 + 2.01682i 0.0354031 + 0.132126i 0.981366 0.192150i \(-0.0615460\pi\)
−0.945963 + 0.324276i \(0.894879\pi\)
\(234\) −2.33714 4.04804i −0.152784 0.264629i
\(235\) 15.0519 + 4.03316i 0.981881 + 0.263094i
\(236\) 3.90596i 0.254256i
\(237\) 1.89526 0.123111
\(238\) 6.32147 + 0.883968i 0.409760 + 0.0572991i
\(239\) −0.833079 1.44294i −0.0538874 0.0933357i 0.837823 0.545941i \(-0.183828\pi\)
−0.891711 + 0.452606i \(0.850495\pi\)
\(240\) 16.0811 + 9.28442i 1.03803 + 0.599307i
\(241\) 6.08201 + 22.6984i 0.391776 + 1.46213i 0.827202 + 0.561905i \(0.189931\pi\)
−0.435426 + 0.900225i \(0.643402\pi\)
\(242\) −6.58026 −0.422995
\(243\) −4.14861 15.4828i −0.266134 0.993225i
\(244\) 8.45031 2.26425i 0.540975 0.144954i
\(245\) −22.6134 + 6.05924i −1.44472 + 0.387111i
\(246\) 11.3870 6.57428i 0.726008 0.419161i
\(247\) 5.61730i 0.357421i
\(248\) 3.50132 13.0671i 0.222334 0.829761i
\(249\) 16.9008 4.52856i 1.07104 0.286986i
\(250\) 21.0588 21.0588i 1.33187 1.33187i
\(251\) 0.502784 0.870847i 0.0317354 0.0549674i −0.849721 0.527232i \(-0.823230\pi\)
0.881457 + 0.472264i \(0.156563\pi\)
\(252\) −1.18285 0.316944i −0.0745126 0.0199656i
\(253\) 11.1784 6.45387i 0.702782 0.405751i
\(254\) 14.5658 0.913942
\(255\) −12.5525 + 9.47259i −0.786067 + 0.593197i
\(256\) 13.9102 0.869387
\(257\) 5.84887i 0.364842i 0.983220 + 0.182421i \(0.0583934\pi\)
−0.983220 + 0.182421i \(0.941607\pi\)
\(258\) −9.43827 + 4.75456i −0.587601 + 0.296006i
\(259\) −4.13370 −0.256856
\(260\) 2.47433 2.47433i 0.153452 0.153452i
\(261\) −4.67649 + 17.4529i −0.289467 + 1.08031i
\(262\) −13.9085 13.9085i −0.859271 0.859271i
\(263\) 8.59716 4.96357i 0.530123 0.306067i −0.210943 0.977498i \(-0.567654\pi\)
0.741067 + 0.671431i \(0.234320\pi\)
\(264\) −5.01278 + 2.89413i −0.308515 + 0.178121i
\(265\) 16.4034 4.39528i 1.00765 0.270000i
\(266\) 4.30537 + 4.30537i 0.263979 + 0.263979i
\(267\) 0.201251 + 0.751080i 0.0123164 + 0.0459653i
\(268\) −0.451677 0.782327i −0.0275906 0.0477882i
\(269\) −9.23959 + 9.23959i −0.563348 + 0.563348i −0.930257 0.366909i \(-0.880416\pi\)
0.366909 + 0.930257i \(0.380416\pi\)
\(270\) 26.9027 15.5323i 1.63725 0.945266i
\(271\) −1.40715 + 2.43725i −0.0854781 + 0.148052i −0.905595 0.424144i \(-0.860575\pi\)
0.820117 + 0.572196i \(0.193908\pi\)
\(272\) −7.83062 + 18.4833i −0.474801 + 1.12072i
\(273\) −0.675536 + 1.17006i −0.0408853 + 0.0708154i
\(274\) 23.7501i 1.43479i
\(275\) 6.66634 + 24.8791i 0.401995 + 1.50027i
\(276\) 1.54888 2.68275i 0.0932319 0.161482i
\(277\) −25.5580 6.84825i −1.53563 0.411472i −0.610781 0.791799i \(-0.709145\pi\)
−0.924852 + 0.380328i \(0.875811\pi\)
\(278\) −2.56989 + 9.59096i −0.154132 + 0.575228i
\(279\) −8.71165 8.71165i −0.521553 0.521553i
\(280\) 8.10689i 0.484479i
\(281\) −14.9055 + 8.60569i −0.889187 + 0.513372i −0.873677 0.486507i \(-0.838271\pi\)
−0.0155106 + 0.999880i \(0.504937\pi\)
\(282\) −1.69123 + 6.31174i −0.100711 + 0.375859i
\(283\) −10.7878 + 2.89059i −0.641270 + 0.171828i −0.564779 0.825242i \(-0.691039\pi\)
−0.0764916 + 0.997070i \(0.524372\pi\)
\(284\) −1.38324 5.16232i −0.0820802 0.306327i
\(285\) −15.0006 −0.888562
\(286\) 1.58244 + 5.90574i 0.0935716 + 0.349214i
\(287\) 6.73515 + 3.88854i 0.397563 + 0.229533i
\(288\) 3.50761 6.07536i 0.206688 0.357994i
\(289\) −11.8261 12.2124i −0.695652 0.718379i
\(290\) −55.9640 −3.28632
\(291\) 1.18240 0.682659i 0.0693136 0.0400182i
\(292\) 1.63824 + 6.11401i 0.0958709 + 0.357795i
\(293\) 3.15772 0.184476 0.0922379 0.995737i \(-0.470598\pi\)
0.0922379 + 0.995737i \(0.470598\pi\)
\(294\) −2.54082 9.48248i −0.148184 0.553030i
\(295\) −6.09499 + 22.7468i −0.354864 + 1.32437i
\(296\) 2.48353 9.26867i 0.144352 0.538730i
\(297\) 13.1189i 0.761235i
\(298\) 0.255739 0.147651i 0.0148146 0.00855320i
\(299\) 4.94539 + 4.94539i 0.285999 + 0.285999i
\(300\) 4.37094 + 4.37094i 0.252356 + 0.252356i
\(301\) −5.22671 3.42850i −0.301263 0.197615i
\(302\) 30.6717 1.76496
\(303\) −1.71475 + 1.71475i −0.0985096 + 0.0985096i
\(304\) −16.5829 + 9.57412i −0.951092 + 0.549113i
\(305\) −52.7445 −3.02014
\(306\) 8.12829 + 10.7711i 0.464663 + 0.615743i
\(307\) 1.79531 + 3.10957i 0.102464 + 0.177472i 0.912699 0.408632i \(-0.133994\pi\)
−0.810235 + 0.586105i \(0.800661\pi\)
\(308\) 1.38718 + 0.800889i 0.0790420 + 0.0456349i
\(309\) −5.65639 + 5.65639i −0.321781 + 0.321781i
\(310\) 19.0797 33.0469i 1.08365 1.87694i
\(311\) −16.2379 4.35093i −0.920766 0.246719i −0.232853 0.972512i \(-0.574806\pi\)
−0.687913 + 0.725793i \(0.741473\pi\)
\(312\) −2.21767 2.21767i −0.125551 0.125551i
\(313\) 1.79868 6.71278i 0.101668 0.379429i −0.896278 0.443492i \(-0.853739\pi\)
0.997946 + 0.0640636i \(0.0204060\pi\)
\(314\) 8.10036 + 4.67675i 0.457130 + 0.263924i
\(315\) 6.39389 + 3.69152i 0.360255 + 0.207993i
\(316\) 1.17599 0.315105i 0.0661544 0.0177260i
\(317\) 9.27296 + 9.27296i 0.520821 + 0.520821i 0.917819 0.396998i \(-0.129948\pi\)
−0.396998 + 0.917819i \(0.629948\pi\)
\(318\) 1.84308 + 6.87845i 0.103355 + 0.385724i
\(319\) 11.8171 20.4678i 0.661629 1.14598i
\(320\) −15.1602 4.06216i −0.847481 0.227082i
\(321\) 13.8660 8.00555i 0.773926 0.446827i
\(322\) 7.58077 0.422460
\(323\) −1.98740 16.0940i −0.110582 0.895496i
\(324\) −0.352737 0.610959i −0.0195965 0.0339422i
\(325\) −12.0861 + 6.97793i −0.670418 + 0.387066i
\(326\) −0.296320 1.10588i −0.0164117 0.0612492i
\(327\) 3.11547 5.39615i 0.172286 0.298408i
\(328\) −12.7654 + 12.7654i −0.704854 + 0.704854i
\(329\) −3.73325 + 1.00032i −0.205821 + 0.0551495i
\(330\) −15.7709 + 4.22580i −0.868160 + 0.232623i
\(331\) 22.8399 + 13.1866i 1.25540 + 0.724803i 0.972176 0.234252i \(-0.0752642\pi\)
0.283219 + 0.959055i \(0.408598\pi\)
\(332\) 9.73382 5.61982i 0.534213 0.308428i
\(333\) −6.17929 6.17929i −0.338623 0.338623i
\(334\) 10.1383 37.8366i 0.554742 2.07033i
\(335\) 1.40962 + 5.26078i 0.0770159 + 0.287427i
\(336\) −4.60553 −0.251252
\(337\) 9.12945 + 34.0716i 0.497313 + 1.85600i 0.516670 + 0.856185i \(0.327171\pi\)
−0.0193570 + 0.999813i \(0.506162\pi\)
\(338\) 15.4149 8.89979i 0.838459 0.484085i
\(339\) −10.1435 17.5691i −0.550921 0.954222i
\(340\) −6.21375 + 7.96459i −0.336988 + 0.431940i
\(341\) 8.05753 + 13.9560i 0.436340 + 0.755762i
\(342\) 12.8718i 0.696029i
\(343\) 8.82416 8.82416i 0.476460 0.476460i
\(344\) 10.8277 9.65959i 0.583788 0.520810i
\(345\) −13.2063 + 13.2063i −0.711005 + 0.711005i
\(346\) −6.98025 6.98025i −0.375261 0.375261i
\(347\) 0.655558 2.44657i 0.0351922 0.131339i −0.946095 0.323890i \(-0.895009\pi\)
0.981287 + 0.192551i \(0.0616760\pi\)
\(348\) 5.67203i 0.304053i
\(349\) −4.54707 + 2.62525i −0.243399 + 0.140526i −0.616738 0.787169i \(-0.711546\pi\)
0.373339 + 0.927695i \(0.378213\pi\)
\(350\) −3.91517 + 14.6116i −0.209275 + 0.781023i
\(351\) −6.86604 + 1.83975i −0.366482 + 0.0981986i
\(352\) −6.48847 + 6.48847i −0.345837 + 0.345837i
\(353\) 9.75480 16.8958i 0.519196 0.899273i −0.480555 0.876964i \(-0.659565\pi\)
0.999751 0.0223091i \(-0.00710179\pi\)
\(354\) −9.53843 2.55581i −0.506962 0.135840i
\(355\) 32.2218i 1.71016i
\(356\) 0.249748 + 0.432576i 0.0132366 + 0.0229265i
\(357\) 1.52150 3.59133i 0.0805263 0.190073i
\(358\) −17.9885 + 31.1570i −0.950722 + 1.64670i
\(359\) 10.9328 + 6.31207i 0.577013 + 0.333138i 0.759945 0.649987i \(-0.225226\pi\)
−0.182933 + 0.983125i \(0.558559\pi\)
\(360\) −12.1186 + 12.1186i −0.638709 + 0.638709i
\(361\) −1.76565 + 3.05819i −0.0929289 + 0.160958i
\(362\) 8.40154 + 31.3550i 0.441575 + 1.64798i
\(363\) −1.04068 + 3.88388i −0.0546217 + 0.203851i
\(364\) −0.224628 + 0.838323i −0.0117737 + 0.0439401i
\(365\) 38.1620i 1.99749i
\(366\) 22.1174i 1.15609i
\(367\) 6.89814 25.7442i 0.360080 1.34384i −0.513890 0.857856i \(-0.671796\pi\)
0.873970 0.485981i \(-0.161537\pi\)
\(368\) −6.17039 + 23.0282i −0.321654 + 1.20043i
\(369\) 4.25527 + 15.8809i 0.221521 + 0.826726i
\(370\) 13.5335 23.4406i 0.703571 1.21862i
\(371\) −2.97831 + 2.97831i −0.154626 + 0.154626i
\(372\) 3.34936 + 1.93375i 0.173656 + 0.100260i
\(373\) 14.8344 25.6940i 0.768097 1.33038i −0.170496 0.985358i \(-0.554537\pi\)
0.938593 0.345025i \(-0.112130\pi\)
\(374\) −6.62327 16.3606i −0.342481 0.845985i
\(375\) −9.09905 15.7600i −0.469873 0.813844i
\(376\) 8.97176i 0.462683i
\(377\) 12.3694 + 3.31437i 0.637057 + 0.170699i
\(378\) −3.85239 + 6.67254i −0.198146 + 0.343198i
\(379\) 15.7965 15.7965i 0.811411 0.811411i −0.173435 0.984845i \(-0.555487\pi\)
0.984845 + 0.173435i \(0.0554866\pi\)
\(380\) −9.30771 + 2.49399i −0.477476 + 0.127939i
\(381\) 2.30362 8.59721i 0.118018 0.440449i
\(382\) −3.66201 + 2.11426i −0.187365 + 0.108175i
\(383\) 28.3480i 1.44852i 0.689529 + 0.724258i \(0.257817\pi\)
−0.689529 + 0.724258i \(0.742183\pi\)
\(384\) 3.49161 13.0309i 0.178180 0.664978i
\(385\) −6.82867 6.82867i −0.348021 0.348021i
\(386\) −21.8467 + 21.8467i −1.11197 + 1.11197i
\(387\) −2.68807 12.9383i −0.136642 0.657691i
\(388\) 0.620166 0.620166i 0.0314842 0.0314842i
\(389\) 14.2078i 0.720363i −0.932882 0.360181i \(-0.882715\pi\)
0.932882 0.360181i \(-0.117285\pi\)
\(390\) −4.42332 7.66141i −0.223983 0.387951i
\(391\) −15.9186 12.4193i −0.805039 0.628070i
\(392\) 6.73939 + 11.6730i 0.340391 + 0.589574i
\(393\) −10.4089 + 6.00959i −0.525060 + 0.303144i
\(394\) −5.06433 18.9003i −0.255137 0.952185i
\(395\) −7.34019 −0.369325
\(396\) 0.876422 + 3.27085i 0.0440419 + 0.164366i
\(397\) 2.70911 10.1105i 0.135966 0.507433i −0.864026 0.503447i \(-0.832065\pi\)
0.999992 0.00398536i \(-0.00126858\pi\)
\(398\) 3.37249 + 3.37249i 0.169048 + 0.169048i
\(399\) 3.22207 1.86026i 0.161305 0.0931297i
\(400\) −41.1991 23.7863i −2.05996 1.18932i
\(401\) 20.1870 5.40908i 1.00809 0.270117i 0.283259 0.959044i \(-0.408585\pi\)
0.724831 + 0.688927i \(0.241918\pi\)
\(402\) −2.20600 + 0.591097i −0.110026 + 0.0294812i
\(403\) −6.17422 + 6.17422i −0.307560 + 0.307560i
\(404\) −0.778886 + 1.34907i −0.0387510 + 0.0671187i
\(405\) 1.10085 + 4.10841i 0.0547014 + 0.204149i
\(406\) 12.0208 6.94022i 0.596583 0.344437i
\(407\) 5.71531 + 9.89922i 0.283298 + 0.490686i
\(408\) 7.13843 + 5.56921i 0.353405 + 0.275717i
\(409\) 10.6410 0.526166 0.263083 0.964773i \(-0.415261\pi\)
0.263083 + 0.964773i \(0.415261\pi\)
\(410\) −44.1008 + 25.4616i −2.17798 + 1.25746i
\(411\) −14.0180 3.75612i −0.691459 0.185276i
\(412\) −2.56929 + 4.45014i −0.126580 + 0.219243i
\(413\) −1.51171 5.64176i −0.0743862 0.277613i
\(414\) 11.3322 + 11.3322i 0.556945 + 0.556945i
\(415\) −65.4553 + 17.5387i −3.21308 + 0.860941i
\(416\) −4.30579 2.48595i −0.211109 0.121884i
\(417\) 5.25446 + 3.03366i 0.257312 + 0.148559i
\(418\) 4.35766 16.2630i 0.213140 0.795449i
\(419\) −7.64590 7.64590i −0.373527 0.373527i 0.495233 0.868760i \(-0.335083\pi\)
−0.868760 + 0.495233i \(0.835083\pi\)
\(420\) −2.23869 0.599855i −0.109237 0.0292699i
\(421\) −7.13621 + 12.3603i −0.347798 + 0.602403i −0.985858 0.167583i \(-0.946404\pi\)
0.638060 + 0.769986i \(0.279737\pi\)
\(422\) −2.03733 + 2.03733i −0.0991756 + 0.0991756i
\(423\) −7.07601 4.08534i −0.344048 0.198636i
\(424\) −4.88865 8.46740i −0.237414 0.411213i
\(425\) 32.1590 24.2684i 1.55994 1.17719i
\(426\) −13.5116 −0.654638
\(427\) 11.3293 6.54096i 0.548262 0.316539i
\(428\) 7.27270 7.27270i 0.351539 0.351539i
\(429\) 3.73602 0.180377
\(430\) 36.5536 18.4140i 1.76277 0.888002i
\(431\) −27.2329 27.2329i −1.31176 1.31176i −0.920115 0.391649i \(-0.871905\pi\)
−0.391649 0.920115i \(-0.628095\pi\)
\(432\) −17.1336 17.1336i −0.824340 0.824340i
\(433\) 12.4020 7.16030i 0.596002 0.344102i −0.171465 0.985190i \(-0.554850\pi\)
0.767467 + 0.641088i \(0.221517\pi\)
\(434\) 9.46444i 0.454308i
\(435\) −8.85082 + 33.0317i −0.424364 + 1.58375i
\(436\) 1.03595 3.86622i 0.0496130 0.185158i
\(437\) −4.98468 18.6031i −0.238450 0.889906i
\(438\) 16.0025 0.764628
\(439\) −4.22087 15.7525i −0.201451 0.751826i −0.990502 0.137498i \(-0.956094\pi\)
0.789051 0.614328i \(-0.210573\pi\)
\(440\) 19.4140 11.2087i 0.925528 0.534354i
\(441\) 12.2753 0.584537
\(442\) 7.63382 5.76077i 0.363104 0.274012i
\(443\) 8.14535 14.1082i 0.386997 0.670299i −0.605047 0.796190i \(-0.706846\pi\)
0.992044 + 0.125891i \(0.0401789\pi\)
\(444\) 2.37574 + 1.37164i 0.112748 + 0.0650950i
\(445\) −0.779428 2.90887i −0.0369484 0.137893i
\(446\) −10.1401 −0.480148
\(447\) −0.0467027 0.174297i −0.00220896 0.00824395i
\(448\) 3.76010 1.00752i 0.177648 0.0476006i
\(449\) −1.69186 + 6.31412i −0.0798440 + 0.297982i −0.994288 0.106731i \(-0.965962\pi\)
0.914444 + 0.404713i \(0.132628\pi\)
\(450\) −27.6949 + 15.9897i −1.30555 + 0.753759i
\(451\) 21.5054i 1.01265i
\(452\) −9.21495 9.21495i −0.433435 0.433435i
\(453\) 4.85079 18.1034i 0.227910 0.850571i
\(454\) 40.2880 + 10.7951i 1.89081 + 0.506640i
\(455\) 2.61629 4.53155i 0.122654 0.212442i
\(456\) 2.23530 + 8.34224i 0.104677 + 0.390661i
\(457\) 22.7779i 1.06551i −0.846270 0.532754i \(-0.821157\pi\)
0.846270 0.532754i \(-0.178843\pi\)
\(458\) −3.05092 + 5.28435i −0.142560 + 0.246921i
\(459\) 19.0209 7.70023i 0.887818 0.359416i
\(460\) −5.99869 + 10.3900i −0.279690 + 0.484438i
\(461\) −31.7330 + 18.3211i −1.47795 + 0.853297i −0.999689 0.0249184i \(-0.992067\pi\)
−0.478265 + 0.878216i \(0.658734\pi\)
\(462\) 2.86347 2.86347i 0.133221 0.133221i
\(463\) 6.95377 + 12.0443i 0.323169 + 0.559745i 0.981140 0.193298i \(-0.0619184\pi\)
−0.657971 + 0.753043i \(0.728585\pi\)
\(464\) 11.2980 + 42.1648i 0.524497 + 1.95745i
\(465\) −16.4879 16.4879i −0.764606 0.764606i
\(466\) 3.27537 0.877633i 0.151729 0.0406556i
\(467\) −24.6817 + 14.2500i −1.14213 + 0.659410i −0.946958 0.321358i \(-0.895861\pi\)
−0.195175 + 0.980769i \(0.562527\pi\)
\(468\) −1.58896 + 0.917386i −0.0734497 + 0.0424062i
\(469\) −0.955181 0.955181i −0.0441062 0.0441062i
\(470\) 6.54997 24.4448i 0.302127 1.12756i
\(471\) 4.04145 4.04145i 0.186220 0.186220i
\(472\) 13.5583 0.624072
\(473\) −0.983902 + 17.2570i −0.0452398 + 0.793478i
\(474\) 3.07796i 0.141376i
\(475\) 38.4311 1.76334
\(476\) 0.346980 2.48134i 0.0159038 0.113732i
\(477\) −8.90430 −0.407700
\(478\) −2.34337 + 1.35295i −0.107183 + 0.0618823i
\(479\) 26.5597 + 7.11665i 1.21354 + 0.325168i 0.808151 0.588975i \(-0.200468\pi\)
0.405392 + 0.914143i \(0.367135\pi\)
\(480\) 6.63857 11.4983i 0.303008 0.524825i
\(481\) −4.37946 + 4.37946i −0.199686 + 0.199686i
\(482\) 36.8628 9.87736i 1.67905 0.449901i
\(483\) 1.19891 4.47441i 0.0545525 0.203593i
\(484\) 2.58292i 0.117405i
\(485\) −4.57933 + 2.64388i −0.207937 + 0.120052i
\(486\) −25.1446 + 6.73747i −1.14058 + 0.305618i
\(487\) 33.7227 9.03596i 1.52812 0.409459i 0.605715 0.795682i \(-0.292887\pi\)
0.922405 + 0.386223i \(0.126220\pi\)
\(488\) 7.85963 + 29.3325i 0.355789 + 1.32782i
\(489\) −0.699591 −0.0316366
\(490\) 9.84039 + 36.7248i 0.444543 + 1.65906i
\(491\) 13.3789 + 7.72430i 0.603780 + 0.348593i 0.770527 0.637407i \(-0.219993\pi\)
−0.166747 + 0.986000i \(0.553326\pi\)
\(492\) −2.58057 4.46968i −0.116341 0.201509i
\(493\) −36.6120 5.11967i −1.64892 0.230578i
\(494\) 9.12267 0.410448
\(495\) 20.4158i 0.917620i
\(496\) −28.7503 7.70361i −1.29092 0.345902i
\(497\) −3.99590 6.92110i −0.179240 0.310454i
\(498\) −7.35451 27.4474i −0.329563 1.22995i
\(499\) −18.0285 + 4.83072i −0.807066 + 0.216253i −0.638684 0.769469i \(-0.720521\pi\)
−0.168382 + 0.985722i \(0.553854\pi\)
\(500\) −8.26610 8.26610i −0.369671 0.369671i
\(501\) −20.7290 11.9679i −0.926102 0.534685i
\(502\) −1.41428 0.816536i −0.0631225 0.0364438i
\(503\) −28.6298 + 7.67134i −1.27654 + 0.342048i −0.832533 0.553975i \(-0.813110\pi\)
−0.444008 + 0.896023i \(0.646444\pi\)
\(504\) 1.10017 4.10589i 0.0490054 0.182891i
\(505\) 6.64106 6.64106i 0.295523 0.295523i
\(506\) −10.4813 18.1541i −0.465950 0.807048i
\(507\) −2.81504 10.5059i −0.125020 0.466582i
\(508\) 5.71746i 0.253671i
\(509\) 11.0914 19.2109i 0.491619 0.851509i −0.508335 0.861160i \(-0.669739\pi\)
0.999953 + 0.00965094i \(0.00307204\pi\)
\(510\) 15.3838 + 20.3856i 0.681205 + 0.902690i
\(511\) 4.73255 + 8.19702i 0.209356 + 0.362615i
\(512\) 4.59802i 0.203206i
\(513\) 18.9074 + 5.06623i 0.834783 + 0.223679i
\(514\) 9.49873 0.418971
\(515\) 21.9067 21.9067i 0.965325 0.965325i
\(516\) 1.86629 + 3.70476i 0.0821587 + 0.163093i
\(517\) 7.55717 + 7.55717i 0.332364 + 0.332364i
\(518\) 6.71326i 0.294964i
\(519\) −5.22391 + 3.01602i −0.229304 + 0.132389i
\(520\) 8.58886 + 8.58886i 0.376646 + 0.376646i
\(521\) −4.13749 + 15.4413i −0.181267 + 0.676497i 0.814132 + 0.580680i \(0.197213\pi\)
−0.995399 + 0.0958172i \(0.969454\pi\)
\(522\) 28.3440 + 7.59476i 1.24058 + 0.332413i
\(523\) −0.988737 + 1.71254i −0.0432345 + 0.0748843i −0.886833 0.462090i \(-0.847100\pi\)
0.843598 + 0.536975i \(0.180433\pi\)
\(524\) −5.45945 + 5.45945i −0.238497 + 0.238497i
\(525\) 8.00504 + 4.62171i 0.349369 + 0.201708i
\(526\) −8.06099 13.9620i −0.351476 0.608774i
\(527\) 15.5052 19.8741i 0.675418 0.865729i
\(528\) 6.36767 + 11.0291i 0.277117 + 0.479981i
\(529\) −0.847728 0.489436i −0.0368577 0.0212798i
\(530\) −7.13807 26.6396i −0.310058 1.15715i
\(531\) 6.17384 10.6934i 0.267922 0.464055i
\(532\) 1.68997 1.68997i 0.0732694 0.0732694i
\(533\) 11.2553 3.01584i 0.487521 0.130631i
\(534\) 1.21978 0.326838i 0.0527849 0.0141437i
\(535\) −53.7019 + 31.0048i −2.32174 + 1.34046i
\(536\) 2.71560 1.56785i 0.117296 0.0677209i
\(537\) 15.5449 + 15.5449i 0.670813 + 0.670813i
\(538\) 15.0054 + 15.0054i 0.646928 + 0.646928i
\(539\) −15.5093 4.15569i −0.668031 0.178998i
\(540\) −6.09682 10.5600i −0.262366 0.454430i
\(541\) −3.77757 14.0981i −0.162410 0.606124i −0.998356 0.0573122i \(-0.981747\pi\)
0.835946 0.548812i \(-0.184920\pi\)
\(542\) 3.95817 + 2.28525i 0.170018 + 0.0981599i
\(543\) 19.8354 0.851219
\(544\) 13.2160 + 5.59907i 0.566631 + 0.240058i
\(545\) −12.0659 + 20.8988i −0.516848 + 0.895207i
\(546\) 1.90022 + 1.09709i 0.0813218 + 0.0469511i
\(547\) −40.4675 10.8432i −1.73026 0.463623i −0.750020 0.661415i \(-0.769956\pi\)
−0.980244 + 0.197792i \(0.936623\pi\)
\(548\) −9.32251 −0.398238
\(549\) 26.7135 + 7.15785i 1.14010 + 0.305490i
\(550\) 40.4044 10.8263i 1.72285 0.461637i
\(551\) −24.9354 24.9354i −1.06228 1.06228i
\(552\) 9.31230 + 5.37646i 0.396358 + 0.228837i
\(553\) 1.57664 0.910273i 0.0670455 0.0387088i
\(554\) −11.1218 + 41.5070i −0.472519 + 1.76346i
\(555\) −11.6951 11.6951i −0.496428 0.496428i
\(556\) 3.76470 + 1.00875i 0.159659 + 0.0427804i
\(557\) −32.2473 −1.36636 −0.683181 0.730249i \(-0.739404\pi\)
−0.683181 + 0.730249i \(0.739404\pi\)
\(558\) −14.1480 + 14.1480i −0.598932 + 0.598932i
\(559\) −9.16978 + 1.90512i −0.387840 + 0.0805779i
\(560\) 17.8368 0.753742
\(561\) −10.7040 + 1.32180i −0.451924 + 0.0558065i
\(562\) 13.9759 + 24.2070i 0.589538 + 1.02111i
\(563\) 15.4895i 0.652805i −0.945231 0.326402i \(-0.894164\pi\)
0.945231 0.326402i \(-0.105836\pi\)
\(564\) 2.47752 + 0.663849i 0.104322 + 0.0279531i
\(565\) 39.2850 + 68.0436i 1.65273 + 2.86262i
\(566\) 4.69441 + 17.5198i 0.197321 + 0.736411i
\(567\) −0.745949 0.745949i −0.0313269 0.0313269i
\(568\) 17.9194 4.80148i 0.751879 0.201465i
\(569\) 38.1621 22.0329i 1.59984 0.923667i 0.608321 0.793691i \(-0.291843\pi\)
0.991517 0.129976i \(-0.0414899\pi\)
\(570\) 24.3615i 1.02039i
\(571\) 5.73391 21.3992i 0.239957 0.895530i −0.735895 0.677096i \(-0.763238\pi\)
0.975852 0.218435i \(-0.0700950\pi\)
\(572\) 2.31815 0.621148i 0.0969269 0.0259715i
\(573\) 0.668751 + 2.49581i 0.0279375 + 0.104264i
\(574\) 6.31510 10.9381i 0.263587 0.456547i
\(575\) 33.8341 33.8341i 1.41098 1.41098i
\(576\) 7.12690 + 4.11472i 0.296954 + 0.171447i
\(577\) 7.52863 13.0400i 0.313421 0.542861i −0.665680 0.746238i \(-0.731858\pi\)
0.979101 + 0.203377i \(0.0651916\pi\)
\(578\) −19.8334 + 19.2059i −0.824959 + 0.798861i
\(579\) 9.43951 + 16.3497i 0.392293 + 0.679471i
\(580\) 21.9673i 0.912142i
\(581\) 11.8845 11.8845i 0.493052 0.493052i
\(582\) −1.10866 1.92025i −0.0459554 0.0795971i
\(583\) 11.2502 + 3.01448i 0.465935 + 0.124847i
\(584\) −21.2228 + 5.68664i −0.878207 + 0.235315i
\(585\) 10.6850 2.86304i 0.441771 0.118372i
\(586\) 5.12823i 0.211845i
\(587\) 27.0770 + 15.6329i 1.11759 + 0.645238i 0.940783 0.339008i \(-0.110091\pi\)
0.176802 + 0.984246i \(0.443425\pi\)
\(588\) −3.72212 + 0.997338i −0.153497 + 0.0411295i
\(589\) 23.2256 6.22328i 0.956994 0.256426i
\(590\) 36.9415 + 9.89844i 1.52086 + 0.407512i
\(591\) −11.9565 −0.491825
\(592\) −20.3929 5.46427i −0.838145 0.224580i
\(593\) 28.1033 + 16.2254i 1.15406 + 0.666299i 0.949874 0.312632i \(-0.101211\pi\)
0.204190 + 0.978931i \(0.434544\pi\)
\(594\) 21.3055 0.874174
\(595\) −5.89264 + 13.9089i −0.241575 + 0.570210i
\(596\) −0.0579568 0.100384i −0.00237400 0.00411190i
\(597\) 2.52392 1.45718i 0.103297 0.0596386i
\(598\) 8.03146 8.03146i 0.328431 0.328431i
\(599\) −13.9930 24.2366i −0.571738 0.990280i −0.996388 0.0849220i \(-0.972936\pi\)
0.424649 0.905358i \(-0.360397\pi\)
\(600\) −15.1723 + 15.1723i −0.619408 + 0.619408i
\(601\) −20.8394 20.8394i −0.850056 0.850056i 0.140083 0.990140i \(-0.455263\pi\)
−0.990140 + 0.140083i \(0.955263\pi\)
\(602\) −5.56799 + 8.48833i −0.226934 + 0.345959i
\(603\) 2.85572i 0.116294i
\(604\) 12.0394i 0.489877i
\(605\) 4.03047 15.0419i 0.163862 0.611541i
\(606\) 2.78480 + 2.78480i 0.113125 + 0.113125i
\(607\) −27.0481 7.24752i −1.09785 0.294168i −0.335961 0.941876i \(-0.609061\pi\)
−0.761889 + 0.647708i \(0.775728\pi\)
\(608\) 6.84571 + 11.8571i 0.277630 + 0.480870i
\(609\) −2.19522 8.19267i −0.0889548 0.331984i
\(610\) 85.6586i 3.46822i
\(611\) −2.89541 + 5.01499i −0.117136 + 0.202885i
\(612\) 4.22793 3.19056i 0.170904 0.128971i
\(613\) −12.5823 −0.508194 −0.254097 0.967179i \(-0.581778\pi\)
−0.254097 + 0.967179i \(0.581778\pi\)
\(614\) 5.05003 2.91563i 0.203802 0.117665i
\(615\) 8.05362 + 30.0565i 0.324753 + 1.21200i
\(616\) −2.78003 + 4.81516i −0.112011 + 0.194008i
\(617\) −2.44677 9.13147i −0.0985033 0.367619i 0.899024 0.437899i \(-0.144277\pi\)
−0.997527 + 0.0702800i \(0.977611\pi\)
\(618\) 9.18615 + 9.18615i 0.369521 + 0.369521i
\(619\) −9.85265 + 2.64001i −0.396011 + 0.106111i −0.451328 0.892358i \(-0.649050\pi\)
0.0553170 + 0.998469i \(0.482383\pi\)
\(620\) −12.9718 7.48925i −0.520958 0.300775i
\(621\) 21.1060 12.1856i 0.846956 0.488990i
\(622\) −7.06604 + 26.3708i −0.283322 + 1.05737i
\(623\) 0.528153 + 0.528153i 0.0211600 + 0.0211600i
\(624\) −4.87933 + 4.87933i −0.195330 + 0.195330i
\(625\) 10.8114 + 18.7259i 0.432457 + 0.749037i
\(626\) −10.9018 2.92112i −0.435722 0.116751i
\(627\) −8.90976 5.14405i −0.355822 0.205434i
\(628\) 1.83574 3.17960i 0.0732541 0.126880i
\(629\) 10.9981 14.0970i 0.438521 0.562082i
\(630\) 5.99513 10.3839i 0.238852 0.413703i
\(631\) −2.02381 1.16845i −0.0805668 0.0465152i 0.459175 0.888346i \(-0.348145\pi\)
−0.539742 + 0.841830i \(0.681478\pi\)
\(632\) 1.09379 + 4.08206i 0.0435085 + 0.162376i
\(633\) 0.880288 + 1.52470i 0.0349883 + 0.0606015i
\(634\) 15.0596 15.0596i 0.598092 0.598092i
\(635\) −8.92171 + 33.2963i −0.354047 + 1.32132i
\(636\) 2.69997 0.723454i 0.107061 0.0286868i
\(637\) 8.69987i 0.344701i
\(638\) −33.2403 19.1913i −1.31600 0.759790i
\(639\) 4.37275 16.3193i 0.172984 0.645583i
\(640\) −13.5227 + 50.4674i −0.534531 + 1.99490i
\(641\) −22.4722 + 22.4722i −0.887600 + 0.887600i −0.994292 0.106692i \(-0.965974\pi\)
0.106692 + 0.994292i \(0.465974\pi\)
\(642\) −13.0013 22.5188i −0.513119 0.888748i
\(643\) 1.02210 1.02210i 0.0403079 0.0403079i −0.686666 0.726973i \(-0.740926\pi\)
0.726973 + 0.686666i \(0.240926\pi\)
\(644\) 2.97564i 0.117257i
\(645\) −5.08750 24.4873i −0.200320 0.964187i
\(646\) −26.1372 + 3.22759i −1.02835 + 0.126988i
\(647\) −23.6078 −0.928116 −0.464058 0.885805i \(-0.653607\pi\)
−0.464058 + 0.885805i \(0.653607\pi\)
\(648\) 2.12075 1.22442i 0.0833109 0.0480996i
\(649\) −11.4206 + 11.4206i −0.448296 + 0.448296i
\(650\) 11.3324 + 19.6282i 0.444492 + 0.769883i
\(651\) 5.58621 + 1.49682i 0.218941 + 0.0586650i
\(652\) −0.434087 + 0.116313i −0.0170002 + 0.00455518i
\(653\) −19.2483 19.2483i −0.753244 0.753244i 0.221839 0.975083i \(-0.428794\pi\)
−0.975083 + 0.221839i \(0.928794\pi\)
\(654\) −8.76351 5.05961i −0.342680 0.197847i
\(655\) 40.3128 23.2746i 1.57515 0.909414i
\(656\) 28.0866 + 28.0866i 1.09660 + 1.09660i
\(657\) −5.17888 + 19.3279i −0.202047 + 0.754051i
\(658\) 1.62455 + 6.06291i 0.0633316 + 0.236357i
\(659\) 12.1603 21.0623i 0.473698 0.820469i −0.525848 0.850578i \(-0.676252\pi\)
0.999547 + 0.0301090i \(0.00958544\pi\)
\(660\) 1.65873 + 6.19048i 0.0645662 + 0.240964i
\(661\) 25.9850i 1.01070i 0.862914 + 0.505351i \(0.168637\pi\)
−0.862914 + 0.505351i \(0.831363\pi\)
\(662\) 21.4155 37.0927i 0.832336 1.44165i
\(663\) −2.19289 5.41680i −0.0851646 0.210371i
\(664\) 19.5074 + 33.7878i 0.757035 + 1.31122i
\(665\) −12.4788 + 7.20464i −0.483907 + 0.279384i
\(666\) −10.0354 + 10.0354i −0.388862 + 0.388862i
\(667\) −43.9055 −1.70003
\(668\) −14.8518 3.97954i −0.574635 0.153973i
\(669\) −1.60368 + 5.98502i −0.0620019 + 0.231394i
\(670\) 8.54366 2.28927i 0.330071 0.0884421i
\(671\) −31.3280 18.0873i −1.20941 0.698251i
\(672\) 3.29306i 0.127032i
\(673\) −42.7006 + 11.4416i −1.64599 + 0.441041i −0.958485 0.285142i \(-0.907959\pi\)
−0.687501 + 0.726183i \(0.741292\pi\)
\(674\) 55.3333 14.8265i 2.13136 0.571096i
\(675\) 12.5867 + 46.9743i 0.484464 + 1.80804i
\(676\) −3.49339 6.05074i −0.134361 0.232721i
\(677\) −11.5446 + 11.5446i −0.443693 + 0.443693i −0.893251 0.449558i \(-0.851582\pi\)
0.449558 + 0.893251i \(0.351582\pi\)
\(678\) −28.5327 + 16.4734i −1.09579 + 0.632657i
\(679\) 0.655747 1.13579i 0.0251652 0.0435875i
\(680\) −27.6465 21.5691i −1.06020 0.827136i
\(681\) 12.7432 22.0720i 0.488322 0.845799i
\(682\) 22.6650 13.0857i 0.867889 0.501076i
\(683\) 23.3528 + 6.25735i 0.893568 + 0.239431i 0.676252 0.736670i \(-0.263603\pi\)
0.217316 + 0.976101i \(0.430270\pi\)
\(684\) 5.05252 0.193188
\(685\) 54.2907 + 14.5471i 2.07434 + 0.555818i
\(686\) −14.3307 14.3307i −0.547149 0.547149i
\(687\) 2.63648 + 2.63648i 0.100588 + 0.100588i
\(688\) −21.2530 23.8230i −0.810265 0.908245i
\(689\) 6.31075i 0.240421i
\(690\) 21.4475 + 21.4475i 0.816492 + 0.816492i
\(691\) −9.08059 + 33.8892i −0.345442 + 1.28921i 0.546653 + 0.837359i \(0.315902\pi\)
−0.892095 + 0.451848i \(0.850765\pi\)
\(692\) −2.73993 + 2.73993i −0.104156 + 0.104156i
\(693\) 2.53180 + 4.38521i 0.0961753 + 0.166580i
\(694\) −3.97331 1.06465i −0.150825 0.0404134i
\(695\) −20.3500 11.7491i −0.771921 0.445669i
\(696\) 19.6887 0.746296
\(697\) −31.1803 + 12.6228i −1.18104 + 0.478121i
\(698\) 4.26348 + 7.38457i 0.161375 + 0.279510i
\(699\) 2.07203i 0.0783713i
\(700\) 5.73543 + 1.53680i 0.216779 + 0.0580857i
\(701\) 10.4057 18.0232i 0.393018 0.680727i −0.599828 0.800129i \(-0.704764\pi\)
0.992846 + 0.119402i \(0.0380976\pi\)
\(702\) 2.98781 + 11.1507i 0.112768 + 0.420854i
\(703\) 16.4742 4.41426i 0.621337 0.166487i
\(704\) −7.61152 7.61152i −0.286870 0.286870i
\(705\) −13.3922 7.73200i −0.504380 0.291204i
\(706\) −27.4393 15.8421i −1.03269 0.596225i
\(707\) −0.602897 + 2.25004i −0.0226743 + 0.0846215i
\(708\) −1.00322 + 3.74407i −0.0377034 + 0.140711i
\(709\) 7.56196 7.56196i 0.283996 0.283996i −0.550705 0.834700i \(-0.685641\pi\)
0.834700 + 0.550705i \(0.185641\pi\)
\(710\) 52.3292 1.96388
\(711\) 3.71758 + 0.996122i 0.139420 + 0.0373575i
\(712\) −1.50155 + 0.866919i −0.0562729 + 0.0324892i
\(713\) 14.9686 25.9263i 0.560578 0.970949i
\(714\) −5.83243 2.47096i −0.218273 0.0924734i
\(715\) −14.4693 −0.541121
\(716\) 12.2299 + 7.06094i 0.457053 + 0.263880i
\(717\) 0.427942 + 1.59710i 0.0159818 + 0.0596449i
\(718\) 10.2510 17.7552i 0.382564 0.662620i
\(719\) −19.4684 5.21654i −0.726049 0.194544i −0.123180 0.992384i \(-0.539309\pi\)
−0.602869 + 0.797840i \(0.705976\pi\)
\(720\) 26.6635 + 26.6635i 0.993689 + 0.993689i
\(721\) −1.98876 + 7.42216i −0.0740654 + 0.276416i
\(722\) 4.96660 + 2.86747i 0.184838 + 0.106716i
\(723\) 23.3197i 0.867270i
\(724\) 12.3076 3.29782i 0.457409 0.122562i
\(725\) 22.6754 84.6259i 0.842145 3.14293i
\(726\) 6.30754 + 1.69010i 0.234095 + 0.0627255i
\(727\) −3.18735 −0.118212 −0.0591061 0.998252i \(-0.518825\pi\)
−0.0591061 + 0.998252i \(0.518825\pi\)
\(728\) −2.90997 0.779724i −0.107851 0.0288985i
\(729\) 12.5867i 0.466173i
\(730\) −61.9762 −2.29384
\(731\) 25.5981 8.70258i 0.946782 0.321877i
\(732\) −8.68163 −0.320882
\(733\) 19.8614i 0.733598i 0.930300 + 0.366799i \(0.119546\pi\)
−0.930300 + 0.366799i \(0.880454\pi\)
\(734\) −41.8094 11.2028i −1.54321 0.413502i
\(735\) 23.2324 0.856941
\(736\) 16.4657 + 4.41197i 0.606933 + 0.162627i
\(737\) −0.966781 + 3.60807i −0.0356118 + 0.132905i
\(738\) 25.7910 6.91069i 0.949382 0.254386i
\(739\) 19.5755i 0.720097i 0.932934 + 0.360049i \(0.117240\pi\)
−0.932934 + 0.360049i \(0.882760\pi\)
\(740\) −9.20105 5.31223i −0.338237 0.195281i
\(741\) 1.44277 5.38449i 0.0530015 0.197804i
\(742\) 4.83686 + 4.83686i 0.177567 + 0.177567i
\(743\) 12.9706 + 3.47547i 0.475846 + 0.127503i 0.488768 0.872414i \(-0.337446\pi\)
−0.0129215 + 0.999917i \(0.504113\pi\)
\(744\) −6.71240 + 11.6262i −0.246089 + 0.426238i
\(745\) 0.180875 + 0.675036i 0.00662676 + 0.0247314i
\(746\) −41.7278 24.0915i −1.52776 0.882054i
\(747\) 35.5312 1.30002
\(748\) −6.42194 + 2.59980i −0.234810 + 0.0950581i
\(749\) 7.68995 13.3194i 0.280985 0.486680i
\(750\) −25.5948 + 14.7771i −0.934588 + 0.539585i
\(751\) −30.7330 8.23487i −1.12146 0.300495i −0.349987 0.936755i \(-0.613814\pi\)
−0.771475 + 0.636260i \(0.780481\pi\)
\(752\) −19.7397 −0.719832
\(753\) −0.705617 + 0.705617i −0.0257141 + 0.0257141i
\(754\) 5.38264 20.0883i 0.196024 0.731572i
\(755\) −18.7867 + 70.1128i −0.683717 + 2.55167i
\(756\) 2.61914 + 1.51216i 0.0952572 + 0.0549968i
\(757\) 35.7905 + 20.6637i 1.30083 + 0.751033i