Properties

Label 731.2.p.a.16.6
Level 731
Weight 2
Character 731.16
Analytic conductor 5.837
Analytic rank 0
Dimension 384
CM no
Inner twists 4

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Newspace parameters

Level: \( N \) = \( 731 = 17 \cdot 43 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 731.p (of order \(14\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.83706438776\)
Analytic rank: \(0\)
Dimension: \(384\)
Relative dimension: \(64\) over \(\Q(\zeta_{14})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{14}]$

Embedding invariants

Embedding label 16.6
Character \(\chi\) = 731.16
Dual form 731.2.p.a.594.6

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.534495 - 2.34178i) q^{2} +(2.00623 + 0.457909i) q^{3} +(-3.39629 + 1.63557i) q^{4} +(-1.96143 + 1.56419i) q^{5} -4.94289i q^{6} +1.32734i q^{7} +(2.65019 + 3.32324i) q^{8} +(1.11237 + 0.535690i) q^{9} +O(q^{10})\) \(q+(-0.534495 - 2.34178i) q^{2} +(2.00623 + 0.457909i) q^{3} +(-3.39629 + 1.63557i) q^{4} +(-1.96143 + 1.56419i) q^{5} -4.94289i q^{6} +1.32734i q^{7} +(2.65019 + 3.32324i) q^{8} +(1.11237 + 0.535690i) q^{9} +(4.71134 + 3.75717i) q^{10} +(-0.0593297 + 0.123199i) q^{11} +(-7.56269 + 1.72613i) q^{12} +(-1.70718 - 2.14073i) q^{13} +(3.10834 - 0.709459i) q^{14} +(-4.65133 + 2.23996i) q^{15} +(1.66515 - 2.08803i) q^{16} +(-2.08160 + 3.55907i) q^{17} +(0.659909 - 2.89125i) q^{18} +(-7.27116 + 3.50160i) q^{19} +(4.10325 - 8.52048i) q^{20} +(-0.607803 + 2.66296i) q^{21} +(0.320217 + 0.0730874i) q^{22} +(-2.13546 + 4.43433i) q^{23} +(3.79516 + 7.88072i) q^{24} +(0.287913 - 1.26143i) q^{25} +(-4.10063 + 5.14203i) q^{26} +(-2.84024 - 2.26501i) q^{27} +(-2.17096 - 4.50805i) q^{28} +(-7.35127 + 1.67788i) q^{29} +(7.73160 + 9.69512i) q^{30} +(10.5326 - 2.40399i) q^{31} +(1.87958 + 0.905156i) q^{32} +(-0.175443 + 0.219999i) q^{33} +(9.44714 + 2.97233i) q^{34} +(-2.07621 - 2.60349i) q^{35} -4.65410 q^{36} +2.07349i q^{37} +(12.0864 + 15.1558i) q^{38} +(-2.44473 - 5.07653i) q^{39} +(-10.3963 - 2.37289i) q^{40} +(5.09880 - 1.16377i) q^{41} +6.56092 q^{42} +(4.74464 - 4.52641i) q^{43} -0.515459i q^{44} +(-3.01975 + 0.689239i) q^{45} +(11.5256 + 2.63065i) q^{46} +(-3.32640 + 1.60191i) q^{47} +(4.29679 - 3.42658i) q^{48} +5.23816 q^{49} -3.10787 q^{50} +(-5.80589 + 6.18713i) q^{51} +(9.29938 + 4.47834i) q^{52} +(0.345422 - 0.433145i) q^{53} +(-3.78606 + 7.86184i) q^{54} +(-0.0763359 - 0.334449i) q^{55} +(-4.41108 + 3.51772i) q^{56} +(-16.1910 + 3.69550i) q^{57} +(7.85844 + 16.3182i) q^{58} +(-0.718598 + 0.901094i) q^{59} +(12.1337 - 15.2151i) q^{60} +(-5.89770 - 1.34611i) q^{61} +(-11.2592 - 23.3800i) q^{62} +(-0.711045 + 1.47650i) q^{63} +(2.30362 - 10.0928i) q^{64} +(6.69700 + 1.52855i) q^{65} +(0.608961 + 0.293260i) q^{66} +(-6.09684 + 2.93608i) q^{67} +(1.24861 - 15.4922i) q^{68} +(-6.31475 + 7.91845i) q^{69} +(-4.98706 + 6.25358i) q^{70} +(1.22222 + 2.53796i) q^{71} +(1.16777 + 5.11635i) q^{72} +(-1.43853 + 1.14719i) q^{73} +(4.85564 - 1.10827i) q^{74} +(1.15524 - 2.39888i) q^{75} +(18.9679 - 23.7849i) q^{76} +(-0.163528 - 0.0787510i) q^{77} +(-10.5814 + 8.43838i) q^{78} -5.54601i q^{79} +6.70010i q^{80} +(-6.97036 - 8.74055i) q^{81} +(-5.45057 - 11.3182i) q^{82} +(-2.48469 + 10.8861i) q^{83} +(-2.29117 - 10.0383i) q^{84} +(-1.48414 - 10.2368i) q^{85} +(-13.1358 - 8.69153i) q^{86} -15.5167 q^{87} +(-0.566656 + 0.129336i) q^{88} +(-0.333873 + 1.46279i) q^{89} +(3.22809 + 6.70319i) q^{90} +(2.84149 - 2.26601i) q^{91} -18.5530i q^{92} +22.2315 q^{93} +(5.52926 + 6.93347i) q^{94} +(8.78468 - 18.2416i) q^{95} +(3.35638 + 2.67663i) q^{96} +(3.02917 - 6.29014i) q^{97} +(-2.79977 - 12.2666i) q^{98} +(-0.131993 + 0.105261i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 384q - 12q^{2} - 72q^{4} - 8q^{8} + 62q^{9} + O(q^{10}) \) \( 384q - 12q^{2} - 72q^{4} - 8q^{8} + 62q^{9} - 18q^{13} - 12q^{15} - 20q^{16} - 14q^{17} + 30q^{18} + 8q^{19} + 20q^{21} + 46q^{25} + 2q^{26} - 30q^{30} + 50q^{32} - 90q^{33} + 8q^{34} + 52q^{35} - 328q^{36} - 46q^{38} + 184q^{42} + 60q^{43} - 2q^{47} - 340q^{49} - 172q^{50} - 68q^{51} + 38q^{52} - 8q^{53} - 28q^{55} + 10q^{59} + 58q^{60} - 44q^{64} + 90q^{66} - 104q^{67} + 60q^{68} - 2q^{69} + 40q^{70} - 164q^{72} - 72q^{76} + 94q^{77} + 120q^{81} - 66q^{83} + 112q^{84} - 96q^{85} - 136q^{86} + 72q^{87} - 6q^{89} - 220q^{93} - 142q^{94} + 124q^{98} + O(q^{100}) \)

Character values

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

\(n\) \(173\) \(562\)
\(\chi(n)\) \(-1\) \(e\left(\frac{4}{7}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.534495 2.34178i −0.377945 1.65589i −0.703749 0.710448i \(-0.748492\pi\)
0.325804 0.945437i \(-0.394365\pi\)
\(3\) 2.00623 + 0.457909i 1.15830 + 0.264374i 0.758152 0.652078i \(-0.226102\pi\)
0.400145 + 0.916452i \(0.368960\pi\)
\(4\) −3.39629 + 1.63557i −1.69815 + 0.817784i
\(5\) −1.96143 + 1.56419i −0.877176 + 0.699525i −0.954733 0.297463i \(-0.903859\pi\)
0.0775569 + 0.996988i \(0.475288\pi\)
\(6\) 4.94289i 2.01793i
\(7\) 1.32734i 0.501689i 0.968027 + 0.250845i \(0.0807083\pi\)
−0.968027 + 0.250845i \(0.919292\pi\)
\(8\) 2.65019 + 3.32324i 0.936984 + 1.17494i
\(9\) 1.11237 + 0.535690i 0.370791 + 0.178563i
\(10\) 4.71134 + 3.75717i 1.48986 + 1.18812i
\(11\) −0.0593297 + 0.123199i −0.0178886 + 0.0371460i −0.909722 0.415219i \(-0.863705\pi\)
0.891833 + 0.452365i \(0.149419\pi\)
\(12\) −7.56269 + 1.72613i −2.18316 + 0.498292i
\(13\) −1.70718 2.14073i −0.473485 0.593732i 0.486535 0.873661i \(-0.338260\pi\)
−0.960021 + 0.279929i \(0.909689\pi\)
\(14\) 3.10834 0.709459i 0.830740 0.189611i
\(15\) −4.65133 + 2.23996i −1.20097 + 0.578355i
\(16\) 1.66515 2.08803i 0.416286 0.522007i
\(17\) −2.08160 + 3.55907i −0.504861 + 0.863201i
\(18\) 0.659909 2.89125i 0.155542 0.681474i
\(19\) −7.27116 + 3.50160i −1.66812 + 0.803323i −0.669976 + 0.742382i \(0.733696\pi\)
−0.998141 + 0.0609409i \(0.980590\pi\)
\(20\) 4.10325 8.52048i 0.917514 1.90524i
\(21\) −0.607803 + 2.66296i −0.132633 + 0.581105i
\(22\) 0.320217 + 0.0730874i 0.0682705 + 0.0155823i
\(23\) −2.13546 + 4.43433i −0.445275 + 0.924623i 0.550676 + 0.834719i \(0.314370\pi\)
−0.995950 + 0.0899033i \(0.971344\pi\)
\(24\) 3.79516 + 7.88072i 0.774683 + 1.60865i
\(25\) 0.287913 1.26143i 0.0575825 0.252286i
\(26\) −4.10063 + 5.14203i −0.804200 + 1.00844i
\(27\) −2.84024 2.26501i −0.546604 0.435902i
\(28\) −2.17096 4.50805i −0.410273 0.851942i
\(29\) −7.35127 + 1.67788i −1.36510 + 0.311575i −0.841438 0.540353i \(-0.818291\pi\)
−0.523659 + 0.851928i \(0.675433\pi\)
\(30\) 7.73160 + 9.69512i 1.41159 + 1.77008i
\(31\) 10.5326 2.40399i 1.89170 0.431769i 0.891912 0.452209i \(-0.149364\pi\)
0.999791 + 0.0204401i \(0.00650675\pi\)
\(32\) 1.87958 + 0.905156i 0.332265 + 0.160011i
\(33\) −0.175443 + 0.219999i −0.0305407 + 0.0382969i
\(34\) 9.44714 + 2.97233i 1.62017 + 0.509750i
\(35\) −2.07621 2.60349i −0.350944 0.440070i
\(36\) −4.65410 −0.775683
\(37\) 2.07349i 0.340879i 0.985368 + 0.170440i \(0.0545187\pi\)
−0.985368 + 0.170440i \(0.945481\pi\)
\(38\) 12.0864 + 15.1558i 1.96067 + 2.45860i
\(39\) −2.44473 5.07653i −0.391470 0.812895i
\(40\) −10.3963 2.37289i −1.64380 0.375187i
\(41\) 5.09880 1.16377i 0.796299 0.181750i 0.195031 0.980797i \(-0.437519\pi\)
0.601269 + 0.799047i \(0.294662\pi\)
\(42\) 6.56092 1.01237
\(43\) 4.74464 4.52641i 0.723551 0.690271i
\(44\) 0.515459i 0.0777084i
\(45\) −3.01975 + 0.689239i −0.450158 + 0.102746i
\(46\) 11.5256 + 2.63065i 1.69936 + 0.387868i
\(47\) −3.32640 + 1.60191i −0.485205 + 0.233663i −0.660461 0.750860i \(-0.729639\pi\)
0.175256 + 0.984523i \(0.443925\pi\)
\(48\) 4.29679 3.42658i 0.620188 0.494584i
\(49\) 5.23816 0.748308
\(50\) −3.10787 −0.439519
\(51\) −5.80589 + 6.18713i −0.812987 + 0.866371i
\(52\) 9.29938 + 4.47834i 1.28959 + 0.621035i
\(53\) 0.345422 0.433145i 0.0474473 0.0594970i −0.757542 0.652787i \(-0.773600\pi\)
0.804989 + 0.593290i \(0.202171\pi\)
\(54\) −3.78606 + 7.86184i −0.515218 + 1.06986i
\(55\) −0.0763359 0.334449i −0.0102931 0.0450971i
\(56\) −4.41108 + 3.51772i −0.589455 + 0.470075i
\(57\) −16.1910 + 3.69550i −2.14455 + 0.489481i
\(58\) 7.85844 + 16.3182i 1.03186 + 2.14269i
\(59\) −0.718598 + 0.901094i −0.0935535 + 0.117312i −0.826405 0.563076i \(-0.809618\pi\)
0.732851 + 0.680389i \(0.238189\pi\)
\(60\) 12.1337 15.2151i 1.56645 1.96426i
\(61\) −5.89770 1.34611i −0.755123 0.172352i −0.172405 0.985026i \(-0.555154\pi\)
−0.582718 + 0.812674i \(0.698011\pi\)
\(62\) −11.2592 23.3800i −1.42992 2.96926i
\(63\) −0.711045 + 1.47650i −0.0895833 + 0.186022i
\(64\) 2.30362 10.0928i 0.287952 1.26160i
\(65\) 6.69700 + 1.52855i 0.830660 + 0.189593i
\(66\) 0.608961 + 0.293260i 0.0749580 + 0.0360979i
\(67\) −6.09684 + 2.93608i −0.744848 + 0.358700i −0.767504 0.641044i \(-0.778502\pi\)
0.0226569 + 0.999743i \(0.492787\pi\)
\(68\) 1.24861 15.4922i 0.151417 1.87871i
\(69\) −6.31475 + 7.91845i −0.760207 + 0.953269i
\(70\) −4.98706 + 6.25358i −0.596068 + 0.747446i
\(71\) 1.22222 + 2.53796i 0.145051 + 0.301201i 0.960818 0.277179i \(-0.0893995\pi\)
−0.815768 + 0.578380i \(0.803685\pi\)
\(72\) 1.16777 + 5.11635i 0.137624 + 0.602968i
\(73\) −1.43853 + 1.14719i −0.168368 + 0.134269i −0.704049 0.710152i \(-0.748626\pi\)
0.535681 + 0.844420i \(0.320055\pi\)
\(74\) 4.85564 1.10827i 0.564457 0.128834i
\(75\) 1.15524 2.39888i 0.133395 0.276998i
\(76\) 18.9679 23.7849i 2.17576 2.72832i
\(77\) −0.163528 0.0787510i −0.0186358 0.00897451i
\(78\) −10.5814 + 8.43838i −1.19811 + 0.955459i
\(79\) 5.54601i 0.623975i −0.950086 0.311987i \(-0.899005\pi\)
0.950086 0.311987i \(-0.100995\pi\)
\(80\) 6.70010i 0.749094i
\(81\) −6.97036 8.74055i −0.774484 0.971172i
\(82\) −5.45057 11.3182i −0.601915 1.24989i
\(83\) −2.48469 + 10.8861i −0.272730 + 1.19491i 0.634045 + 0.773296i \(0.281393\pi\)
−0.906776 + 0.421614i \(0.861464\pi\)
\(84\) −2.29117 10.0383i −0.249988 1.09527i
\(85\) −1.48414 10.2368i −0.160978 1.11034i
\(86\) −13.1358 8.69153i −1.41647 0.937232i
\(87\) −15.5167 −1.66356
\(88\) −0.566656 + 0.129336i −0.0604057 + 0.0137872i
\(89\) −0.333873 + 1.46279i −0.0353905 + 0.155056i −0.989536 0.144288i \(-0.953911\pi\)
0.954145 + 0.299344i \(0.0967679\pi\)
\(90\) 3.22809 + 6.70319i 0.340270 + 0.706578i
\(91\) 2.84149 2.26601i 0.297869 0.237542i
\(92\) 18.5530i 1.93428i
\(93\) 22.2315 2.30530
\(94\) 5.52926 + 6.93347i 0.570299 + 0.715133i
\(95\) 8.78468 18.2416i 0.901289 1.87155i
\(96\) 3.35638 + 2.67663i 0.342559 + 0.273182i
\(97\) 3.02917 6.29014i 0.307566 0.638667i −0.688696 0.725050i \(-0.741817\pi\)
0.996262 + 0.0863832i \(0.0275309\pi\)
\(98\) −2.79977 12.2666i −0.282819 1.23911i
\(99\) −0.131993 + 0.105261i −0.0132658 + 0.0105791i
\(100\) 1.08532 + 4.75508i 0.108532 + 0.475508i
\(101\) −12.3059 + 5.92620i −1.22448 + 0.589679i −0.930556 0.366150i \(-0.880676\pi\)
−0.293925 + 0.955829i \(0.594961\pi\)
\(102\) 17.5921 + 10.2891i 1.74188 + 1.01877i
\(103\) 10.5061 13.1742i 1.03520 1.29810i 0.0817122 0.996656i \(-0.473961\pi\)
0.953485 0.301440i \(-0.0974674\pi\)
\(104\) 2.58981 11.3467i 0.253952 1.11263i
\(105\) −2.97320 6.17391i −0.290155 0.602512i
\(106\) −1.19895 0.577386i −0.116453 0.0560807i
\(107\) 5.79782 + 1.32331i 0.560496 + 0.127930i 0.493377 0.869815i \(-0.335762\pi\)
0.0671190 + 0.997745i \(0.478619\pi\)
\(108\) 13.3509 + 3.04725i 1.28469 + 0.293222i
\(109\) −7.56101 + 15.7006i −0.724213 + 1.50384i 0.134238 + 0.990949i \(0.457141\pi\)
−0.858451 + 0.512895i \(0.828573\pi\)
\(110\) −0.742404 + 0.357523i −0.0707855 + 0.0340885i
\(111\) −0.949468 + 4.15989i −0.0901195 + 0.394839i
\(112\) 2.77153 + 2.21022i 0.261885 + 0.208846i
\(113\) 3.09295 + 2.46654i 0.290960 + 0.232033i 0.758081 0.652161i \(-0.226137\pi\)
−0.467121 + 0.884193i \(0.654709\pi\)
\(114\) 17.3081 + 35.9405i 1.62105 + 3.36614i
\(115\) −2.74757 12.0379i −0.256212 1.12254i
\(116\) 22.2228 17.7221i 2.06333 1.64545i
\(117\) −0.752246 3.29580i −0.0695451 0.304697i
\(118\) 2.49425 + 1.20117i 0.229614 + 0.110576i
\(119\) −4.72411 2.76300i −0.433058 0.253283i
\(120\) −19.7708 9.52113i −1.80482 0.869156i
\(121\) 6.84673 + 8.58553i 0.622430 + 0.780503i
\(122\) 14.5306i 1.31554i
\(123\) 10.7623 0.970401
\(124\) −31.8398 + 25.3914i −2.85929 + 2.28021i
\(125\) −4.03416 8.37702i −0.360826 0.749263i
\(126\) 3.83768 + 0.875926i 0.341888 + 0.0780337i
\(127\) 1.60115 + 7.01510i 0.142079 + 0.622490i 0.994950 + 0.100368i \(0.0320021\pi\)
−0.852871 + 0.522121i \(0.825141\pi\)
\(128\) −20.6940 −1.82911
\(129\) 11.5915 6.90841i 1.02058 0.608252i
\(130\) 16.4999i 1.44713i
\(131\) 10.4458 2.38419i 0.912654 0.208307i 0.259686 0.965693i \(-0.416381\pi\)
0.652968 + 0.757386i \(0.273524\pi\)
\(132\) 0.236033 1.03413i 0.0205441 0.0900094i
\(133\) −4.64784 9.65133i −0.403019 0.836877i
\(134\) 10.1344 + 12.7081i 0.875477 + 1.09781i
\(135\) 9.11382 0.784393
\(136\) −17.3442 + 2.51458i −1.48726 + 0.215623i
\(137\) −9.51777 11.9349i −0.813158 1.01967i −0.999310 0.0371469i \(-0.988173\pi\)
0.186152 0.982521i \(-0.440398\pi\)
\(138\) 21.9184 + 10.5554i 1.86582 + 0.898532i
\(139\) 13.1474 + 10.4847i 1.11515 + 0.889304i 0.994639 0.103408i \(-0.0329748\pi\)
0.120512 + 0.992712i \(0.461546\pi\)
\(140\) 11.3096 + 5.44642i 0.955837 + 0.460307i
\(141\) −7.40705 + 1.69061i −0.623786 + 0.142375i
\(142\) 5.29007 4.21869i 0.443933 0.354025i
\(143\) 0.365023 0.0833141i 0.0305248 0.00696708i
\(144\) 2.97079 1.43066i 0.247566 0.119222i
\(145\) 11.7945 14.7898i 0.979477 1.22823i
\(146\) 3.45536 + 2.75555i 0.285967 + 0.228051i
\(147\) 10.5089 + 2.39860i 0.866763 + 0.197833i
\(148\) −3.39133 7.04217i −0.278765 0.578862i
\(149\) −12.5648 6.05091i −1.02935 0.495710i −0.158554 0.987350i \(-0.550683\pi\)
−0.870798 + 0.491640i \(0.836397\pi\)
\(150\) −6.23510 1.42312i −0.509094 0.116197i
\(151\) −0.448674 + 1.96577i −0.0365126 + 0.159972i −0.989898 0.141785i \(-0.954716\pi\)
0.953385 + 0.301757i \(0.0975731\pi\)
\(152\) −30.9066 14.8838i −2.50686 1.20724i
\(153\) −4.22206 + 2.84391i −0.341334 + 0.229917i
\(154\) −0.0970122 + 0.425038i −0.00781747 + 0.0342506i
\(155\) −16.8986 + 21.1901i −1.35732 + 1.70203i
\(156\) 16.6060 + 13.2429i 1.32955 + 1.06028i
\(157\) −5.12337 + 2.46729i −0.408890 + 0.196911i −0.627010 0.779011i \(-0.715722\pi\)
0.218121 + 0.975922i \(0.430007\pi\)
\(158\) −12.9875 + 2.96431i −1.03323 + 0.235828i
\(159\) 0.891336 0.710817i 0.0706876 0.0563714i
\(160\) −5.10248 + 1.16461i −0.403387 + 0.0920704i
\(161\) −5.88589 2.83450i −0.463873 0.223390i
\(162\) −16.7428 + 20.9948i −1.31544 + 1.64951i
\(163\) 8.61325 17.8856i 0.674642 1.40091i −0.229344 0.973345i \(-0.573658\pi\)
0.903986 0.427563i \(-0.140628\pi\)
\(164\) −15.4136 + 12.2919i −1.20360 + 0.959839i
\(165\) 0.705937i 0.0549571i
\(166\) 26.8210 2.08171
\(167\) −10.1604 + 8.10267i −0.786237 + 0.627003i −0.932059 0.362308i \(-0.881989\pi\)
0.145821 + 0.989311i \(0.453418\pi\)
\(168\) −10.4604 + 5.03748i −0.807040 + 0.388650i
\(169\) 1.22449 5.36486i 0.0941919 0.412682i
\(170\) −23.1791 + 8.94707i −1.77776 + 0.686209i
\(171\) −9.96400 −0.761966
\(172\) −8.71092 + 23.1332i −0.664202 + 1.76389i
\(173\) 5.07991i 0.386218i 0.981177 + 0.193109i \(0.0618572\pi\)
−0.981177 + 0.193109i \(0.938143\pi\)
\(174\) 8.29358 + 36.3365i 0.628735 + 2.75467i
\(175\) 1.67435 + 0.382159i 0.126569 + 0.0288885i
\(176\) 0.158451 + 0.329027i 0.0119437 + 0.0248013i
\(177\) −1.85429 + 1.47875i −0.139377 + 0.111150i
\(178\) 3.60399 0.270130
\(179\) −8.81352 −0.658753 −0.329377 0.944199i \(-0.606839\pi\)
−0.329377 + 0.944199i \(0.606839\pi\)
\(180\) 9.12867 7.27987i 0.680411 0.542609i
\(181\) 2.24226 4.65611i 0.166666 0.346086i −0.800862 0.598849i \(-0.795625\pi\)
0.967528 + 0.252763i \(0.0813393\pi\)
\(182\) −6.82525 5.44295i −0.505921 0.403459i
\(183\) −11.2157 5.40122i −0.829092 0.399269i
\(184\) −20.3957 + 4.65519i −1.50359 + 0.343185i
\(185\) −3.24332 4.06699i −0.238453 0.299011i
\(186\) −11.8826 52.0613i −0.871278 3.81732i
\(187\) −0.314974 0.467610i −0.0230332 0.0341950i
\(188\) 8.67739 10.8811i 0.632864 0.793586i
\(189\) 3.00646 3.76998i 0.218687 0.274225i
\(190\) −47.4131 10.8217i −3.43970 0.785090i
\(191\) −22.9807 + 11.0669i −1.66282 + 0.800774i −0.664243 + 0.747517i \(0.731246\pi\)
−0.998581 + 0.0532573i \(0.983040\pi\)
\(192\) 9.24317 19.1936i 0.667068 1.38518i
\(193\) 6.69420 + 1.52791i 0.481859 + 0.109981i 0.456549 0.889699i \(-0.349085\pi\)
0.0253103 + 0.999680i \(0.491943\pi\)
\(194\) −16.3492 3.73159i −1.17380 0.267913i
\(195\) 12.7358 + 6.13323i 0.912028 + 0.439210i
\(196\) −17.7903 + 8.56736i −1.27074 + 0.611954i
\(197\) −19.0863 4.35633i −1.35985 0.310376i −0.520448 0.853893i \(-0.674235\pi\)
−0.839398 + 0.543518i \(0.817092\pi\)
\(198\) 0.317048 + 0.252837i 0.0225316 + 0.0179684i
\(199\) 11.4780 + 9.15339i 0.813653 + 0.648867i 0.939257 0.343214i \(-0.111516\pi\)
−0.125604 + 0.992080i \(0.540087\pi\)
\(200\) 4.95505 2.38622i 0.350375 0.168732i
\(201\) −13.5761 + 3.09866i −0.957586 + 0.218563i
\(202\) 20.4553 + 25.6501i 1.43923 + 1.80473i
\(203\) −2.22713 9.75767i −0.156314 0.684854i
\(204\) 9.59903 30.5092i 0.672067 2.13607i
\(205\) −8.18058 + 10.2581i −0.571356 + 0.716458i
\(206\) −36.4666 17.5614i −2.54075 1.22356i
\(207\) −4.75086 + 3.78868i −0.330207 + 0.263332i
\(208\) −7.31260 −0.507037
\(209\) 1.10355i 0.0763343i
\(210\) −12.8688 + 10.2625i −0.888029 + 0.708179i
\(211\) 6.81458 + 14.1506i 0.469135 + 0.974168i 0.992521 + 0.122073i \(0.0389542\pi\)
−0.523386 + 0.852096i \(0.675332\pi\)
\(212\) −0.464715 + 2.03605i −0.0319167 + 0.139836i
\(213\) 1.28990 + 5.65140i 0.0883822 + 0.387228i
\(214\) 14.2845i 0.976469i
\(215\) −2.22611 + 16.2997i −0.151819 + 1.11163i
\(216\) 15.4415i 1.05066i
\(217\) 3.19092 + 13.9803i 0.216614 + 0.949047i
\(218\) 40.8086 + 9.31430i 2.76391 + 0.630844i
\(219\) −3.41134 + 1.64281i −0.230517 + 0.111011i
\(220\) 0.806273 + 1.01103i 0.0543589 + 0.0681640i
\(221\) 11.1727 1.61982i 0.751554 0.108961i
\(222\) 10.2490 0.687869
\(223\) −10.6315 13.3315i −0.711940 0.892745i 0.285912 0.958256i \(-0.407704\pi\)
−0.997852 + 0.0655112i \(0.979132\pi\)
\(224\) −1.20145 + 2.49485i −0.0802755 + 0.166694i
\(225\) 0.996000 1.24894i 0.0664000 0.0832630i
\(226\) 4.12293 8.56134i 0.274253 0.569492i
\(227\) 17.2980 3.94815i 1.14811 0.262048i 0.394197 0.919026i \(-0.371023\pi\)
0.753910 + 0.656978i \(0.228166\pi\)
\(228\) 48.9452 39.0325i 3.24148 2.58499i
\(229\) 1.78090 + 7.80264i 0.117685 + 0.515613i 0.999066 + 0.0432066i \(0.0137574\pi\)
−0.881381 + 0.472406i \(0.843385\pi\)
\(230\) −26.7215 + 12.8684i −1.76196 + 0.848515i
\(231\) −0.292014 0.232874i −0.0192131 0.0153220i
\(232\) −25.0583 19.9833i −1.64516 1.31197i
\(233\) 7.77531 + 1.77466i 0.509378 + 0.116262i 0.469483 0.882942i \(-0.344440\pi\)
0.0398951 + 0.999204i \(0.487298\pi\)
\(234\) −7.31596 + 3.52318i −0.478259 + 0.230318i
\(235\) 4.01880 8.34513i 0.262158 0.544376i
\(236\) 0.966770 4.23570i 0.0629314 0.275720i
\(237\) 2.53957 11.1266i 0.164963 0.722748i
\(238\) −3.94530 + 12.5396i −0.255736 + 0.812822i
\(239\) 4.03264 1.94202i 0.260850 0.125619i −0.298888 0.954288i \(-0.596616\pi\)
0.559739 + 0.828669i \(0.310902\pi\)
\(240\) −3.06804 + 13.4420i −0.198041 + 0.867674i
\(241\) 9.37803 + 7.47873i 0.604092 + 0.481747i 0.877128 0.480256i \(-0.159456\pi\)
−0.273036 + 0.962004i \(0.588028\pi\)
\(242\) 16.4458 20.6224i 1.05718 1.32566i
\(243\) −5.25312 10.9082i −0.336988 0.699763i
\(244\) 22.2320 5.07430i 1.42326 0.324849i
\(245\) −10.2743 + 8.19345i −0.656398 + 0.523460i
\(246\) −5.75238 25.2028i −0.366758 1.60687i
\(247\) 19.9091 + 9.58773i 1.26679 + 0.610053i
\(248\) 35.9023 + 28.6311i 2.27980 + 1.81808i
\(249\) −9.96972 + 20.7023i −0.631806 + 1.31196i
\(250\) −17.4609 + 13.9246i −1.10432 + 0.880667i
\(251\) 1.85349 0.116992 0.0584958 0.998288i \(-0.481370\pi\)
0.0584958 + 0.998288i \(0.481370\pi\)
\(252\) 6.17759i 0.389152i
\(253\) −0.419611 0.526176i −0.0263807 0.0330804i
\(254\) 15.5720 7.49908i 0.977074 0.470534i
\(255\) 1.71001 21.2171i 0.107085 1.32866i
\(256\) 6.45361 + 28.2751i 0.403351 + 1.76720i
\(257\) 20.1051 1.25412 0.627060 0.778971i \(-0.284258\pi\)
0.627060 + 0.778971i \(0.284258\pi\)
\(258\) −22.3736 23.4522i −1.39292 1.46007i
\(259\) −2.75223 −0.171015
\(260\) −25.2450 + 5.76201i −1.56563 + 0.357344i
\(261\) −9.07617 2.07158i −0.561801 0.128227i
\(262\) −11.1665 23.1874i −0.689867 1.43252i
\(263\) 13.9677 + 17.5150i 0.861286 + 1.08002i 0.996019 + 0.0891369i \(0.0284109\pi\)
−0.134733 + 0.990882i \(0.543018\pi\)
\(264\) −1.19607 −0.0736128
\(265\) 1.38989i 0.0853800i
\(266\) −20.1170 + 16.0428i −1.23345 + 0.983646i
\(267\) −1.33965 + 2.78182i −0.0819854 + 0.170244i
\(268\) 15.9045 19.9436i 0.971521 1.21825i
\(269\) −5.97829 + 12.4140i −0.364503 + 0.756898i −0.999883 0.0153017i \(-0.995129\pi\)
0.635380 + 0.772199i \(0.280843\pi\)
\(270\) −4.87129 21.3425i −0.296457 1.29886i
\(271\) −13.2106 16.5656i −0.802487 1.00629i −0.999664 0.0259186i \(-0.991749\pi\)
0.197177 0.980368i \(-0.436823\pi\)
\(272\) 3.96526 + 10.2728i 0.240429 + 0.622879i
\(273\) 6.73830 3.24500i 0.407821 0.196396i
\(274\) −22.8617 + 28.6676i −1.38112 + 1.73188i
\(275\) 0.138325 + 0.110311i 0.00834134 + 0.00665199i
\(276\) 8.49558 37.2216i 0.511374 2.24047i
\(277\) 6.51083 + 13.5199i 0.391198 + 0.812331i 0.999822 + 0.0188719i \(0.00600748\pi\)
−0.608624 + 0.793459i \(0.708278\pi\)
\(278\) 17.5257 36.3924i 1.05112 2.18267i
\(279\) 13.0039 + 2.96806i 0.778524 + 0.177693i
\(280\) 3.14964 13.7995i 0.188227 0.824677i
\(281\) −20.7387 9.98724i −1.23717 0.595789i −0.303126 0.952951i \(-0.598030\pi\)
−0.934043 + 0.357162i \(0.883744\pi\)
\(282\) 7.91807 + 16.4420i 0.471514 + 0.979109i
\(283\) 0.722972 + 0.165014i 0.0429762 + 0.00980905i 0.243955 0.969787i \(-0.421555\pi\)
−0.200979 + 0.979596i \(0.564412\pi\)
\(284\) −8.30203 6.62065i −0.492635 0.392863i
\(285\) 25.9771 32.5742i 1.53875 1.92953i
\(286\) −0.390206 0.810271i −0.0230734 0.0479123i
\(287\) 1.54472 + 6.76787i 0.0911821 + 0.399495i
\(288\) 1.60590 + 2.01374i 0.0946288 + 0.118661i
\(289\) −8.33391 14.8171i −0.490230 0.871593i
\(290\) −40.9385 19.7149i −2.40399 1.15770i
\(291\) 8.95752 11.2324i 0.525099 0.658454i
\(292\) 3.00937 6.24902i 0.176110 0.365696i
\(293\) 7.44857 + 9.34021i 0.435150 + 0.545661i 0.950258 0.311464i \(-0.100819\pi\)
−0.515108 + 0.857126i \(0.672248\pi\)
\(294\) 25.8916i 1.51003i
\(295\) 2.89145i 0.168347i
\(296\) −6.89068 + 5.49514i −0.400513 + 0.319398i
\(297\) 0.447559 0.215533i 0.0259700 0.0125065i
\(298\) −7.45403 + 32.6582i −0.431800 + 1.89184i
\(299\) 13.1383 2.99874i 0.759809 0.173421i
\(300\) 10.0368i 0.579472i
\(301\) 6.00811 + 6.29777i 0.346302 + 0.362997i
\(302\) 4.84321 0.278695
\(303\) −27.4021 + 6.25435i −1.57421 + 0.359303i
\(304\) −4.79609 + 21.0130i −0.275075 + 1.20518i
\(305\) 13.6735 6.58480i 0.782940 0.377044i
\(306\) 8.91648 + 8.36707i 0.509721 + 0.478314i
\(307\) −13.6314 −0.777985 −0.388992 0.921241i \(-0.627177\pi\)
−0.388992 + 0.921241i \(0.627177\pi\)
\(308\) 0.684192 0.0389855
\(309\) 27.1103 21.6197i 1.54225 1.22990i
\(310\) 58.6547 + 28.2466i 3.33136 + 1.60430i
\(311\) −14.2177 11.3382i −0.806212 0.642933i 0.131121 0.991366i \(-0.458142\pi\)
−0.937334 + 0.348433i \(0.886714\pi\)
\(312\) 10.3915 21.5782i 0.588303 1.22162i
\(313\) −5.00282 + 1.14186i −0.282776 + 0.0645418i −0.361557 0.932350i \(-0.617755\pi\)
0.0787804 + 0.996892i \(0.474897\pi\)
\(314\) 8.51625 + 10.6790i 0.480600 + 0.602653i
\(315\) −0.914858 4.00825i −0.0515464 0.225839i
\(316\) 9.07087 + 18.8359i 0.510277 + 1.05960i
\(317\) 14.0345 + 11.1921i 0.788254 + 0.628611i 0.932598 0.360916i \(-0.117536\pi\)
−0.144345 + 0.989527i \(0.546107\pi\)
\(318\) −2.14099 1.70738i −0.120061 0.0957452i
\(319\) 0.229435 1.00522i 0.0128459 0.0562816i
\(320\) 11.2686 + 23.3996i 0.629936 + 1.30808i
\(321\) 11.0258 + 5.30975i 0.615400 + 0.296361i
\(322\) −3.49177 + 15.2985i −0.194589 + 0.852550i
\(323\) 2.67317 33.1675i 0.148739 1.84549i
\(324\) 37.9691 + 18.2850i 2.10940 + 1.01583i
\(325\) −3.19189 + 1.53713i −0.177054 + 0.0852649i
\(326\) −46.4878 10.6105i −2.57472 0.587663i
\(327\) −22.3586 + 28.0368i −1.23643 + 1.55044i
\(328\) 17.3803 + 13.8603i 0.959666 + 0.765308i
\(329\) −2.12629 4.41528i −0.117226 0.243422i
\(330\) −1.65315 + 0.377320i −0.0910027 + 0.0207708i
\(331\) −11.4512 14.3594i −0.629415 0.789261i 0.360220 0.932867i \(-0.382702\pi\)
−0.989635 + 0.143606i \(0.954130\pi\)
\(332\) −9.36629 41.0364i −0.514042 2.25217i
\(333\) −1.11075 + 2.30649i −0.0608685 + 0.126395i
\(334\) 24.4053 + 19.4626i 1.33540 + 1.06495i
\(335\) 7.36592 15.2955i 0.402443 0.835682i
\(336\) 4.54825 + 5.70332i 0.248127 + 0.311142i
\(337\) 23.6997i 1.29101i 0.763757 + 0.645504i \(0.223353\pi\)
−0.763757 + 0.645504i \(0.776647\pi\)
\(338\) −13.2178 −0.718953
\(339\) 5.07571 + 6.36474i 0.275675 + 0.345685i
\(340\) 21.7836 + 32.3399i 1.18138 + 1.75388i
\(341\) −0.328724 + 1.44023i −0.0178014 + 0.0779930i
\(342\) 5.32571 + 23.3335i 0.287981 + 1.26173i
\(343\) 16.2443i 0.877107i
\(344\) 27.6165 + 3.77169i 1.48898 + 0.203356i
\(345\) 25.4089i 1.36797i
\(346\) 11.8960 2.71519i 0.639534 0.145969i
\(347\) 8.37520 + 1.91158i 0.449604 + 0.102619i 0.441327 0.897347i \(-0.354508\pi\)
0.00827751 + 0.999966i \(0.497365\pi\)
\(348\) 52.6991 25.3786i 2.82497 1.36043i
\(349\) 4.41217 + 5.53268i 0.236178 + 0.296158i 0.885769 0.464126i \(-0.153631\pi\)
−0.649591 + 0.760284i \(0.725060\pi\)
\(350\) 4.12521i 0.220502i
\(351\) 9.94696i 0.530930i
\(352\) −0.223029 + 0.177860i −0.0118875 + 0.00947997i
\(353\) 13.6999 + 6.59752i 0.729172 + 0.351151i 0.761358 0.648331i \(-0.224533\pi\)
−0.0321864 + 0.999482i \(0.510247\pi\)
\(354\) 4.45401 + 3.55195i 0.236728 + 0.188784i
\(355\) −6.36714 3.06625i −0.337933 0.162740i
\(356\) −1.25857 5.51415i −0.0667040 0.292249i
\(357\) −8.21245 7.70642i −0.434649 0.407867i
\(358\) 4.71078 + 20.6393i 0.248973 + 1.09082i
\(359\) −1.97945 + 0.953252i −0.104471 + 0.0503107i −0.485390 0.874298i \(-0.661322\pi\)
0.380918 + 0.924609i \(0.375608\pi\)
\(360\) −10.2934 8.20874i −0.542511 0.432638i
\(361\) 28.7622 36.0666i 1.51380 1.89824i
\(362\) −12.1020 2.76221i −0.636069 0.145179i
\(363\) 9.80472 + 20.3597i 0.514615 + 1.06861i
\(364\) −5.94431 + 12.3435i −0.311566 + 0.646974i
\(365\) 1.02716 4.50026i 0.0537638 0.235555i
\(366\) −6.65368 + 29.1517i −0.347794 + 1.52378i
\(367\) −7.96768 + 16.5451i −0.415910 + 0.863645i 0.582788 + 0.812624i \(0.301962\pi\)
−0.998698 + 0.0510210i \(0.983752\pi\)
\(368\) 5.70315 + 11.8427i 0.297297 + 0.617344i
\(369\) 6.29518 + 1.43683i 0.327714 + 0.0747986i
\(370\) −7.79044 + 9.76891i −0.405006 + 0.507861i
\(371\) 0.574933 + 0.458494i 0.0298490 + 0.0238038i
\(372\) −75.5048 + 36.3612i −3.91474 + 1.88524i
\(373\) 7.17029 + 31.4151i 0.371264 + 1.62661i 0.723236 + 0.690601i \(0.242654\pi\)
−0.351972 + 0.936011i \(0.614489\pi\)
\(374\) −0.926685 + 0.987535i −0.0479178 + 0.0510642i
\(375\) −4.25754 18.6535i −0.219858 0.963263i
\(376\) −14.1391 6.80904i −0.729170 0.351150i
\(377\) 16.1418 + 12.8727i 0.831345 + 0.662976i
\(378\) −10.4354 5.02541i −0.536738 0.258479i
\(379\) −1.95411 + 1.55835i −0.100376 + 0.0800473i −0.672392 0.740195i \(-0.734733\pi\)
0.572016 + 0.820243i \(0.306162\pi\)
\(380\) 76.3217i 3.91522i
\(381\) 14.8071i 0.758590i
\(382\) 38.1993 + 47.9004i 1.95445 + 2.45080i
\(383\) −7.02568 + 3.38339i −0.358996 + 0.172883i −0.604684 0.796466i \(-0.706700\pi\)
0.245688 + 0.969349i \(0.420986\pi\)
\(384\) −41.5169 9.47597i −2.11865 0.483569i
\(385\) 0.443929 0.101324i 0.0226247 0.00516395i
\(386\) 16.4930i 0.839470i
\(387\) 7.70255 2.49340i 0.391543 0.126747i
\(388\) 26.3176i 1.33607i
\(389\) −2.01889 8.84534i −0.102362 0.448476i −0.999970 0.00768319i \(-0.997554\pi\)
0.897609 0.440793i \(-0.145303\pi\)
\(390\) 7.55544 33.1025i 0.382584 1.67621i
\(391\) −11.3369 16.8307i −0.573333 0.851167i
\(392\) 13.8821 + 17.4076i 0.701153 + 0.879218i
\(393\) 22.0484 1.11220
\(394\) 47.0244i 2.36905i
\(395\) 8.67498 + 10.8781i 0.436486 + 0.547336i
\(396\) 0.276126 0.573382i 0.0138759 0.0288135i
\(397\) −9.42425 7.51559i −0.472989 0.377196i 0.357787 0.933803i \(-0.383532\pi\)
−0.830776 + 0.556607i \(0.812103\pi\)
\(398\) 15.3003 31.7713i 0.766933 1.59255i
\(399\) −4.90520 21.4911i −0.245567 1.07590i
\(400\) −2.15448 2.70163i −0.107724 0.135081i
\(401\) 23.1880 5.29251i 1.15795 0.264296i 0.399945 0.916539i \(-0.369029\pi\)
0.758009 + 0.652244i \(0.226172\pi\)
\(402\) 14.5127 + 30.1360i 0.723830 + 1.50305i
\(403\) −23.1272 18.4433i −1.15205 0.918728i
\(404\) 32.1017 40.2542i 1.59712 2.00272i
\(405\) 27.3437 + 6.24102i 1.35872 + 0.310119i
\(406\) −21.6599 + 10.4309i −1.07496 + 0.517675i
\(407\) −0.255452 0.123019i −0.0126623 0.00609784i
\(408\) −35.9480 2.89727i −1.77969 0.143436i
\(409\) −1.17183 + 5.13414i −0.0579435 + 0.253867i −0.995601 0.0936934i \(-0.970133\pi\)
0.937658 + 0.347560i \(0.112990\pi\)
\(410\) 28.3947 + 13.6742i 1.40231 + 0.675319i
\(411\) −13.6297 28.3024i −0.672305 1.39606i
\(412\) −14.1344 + 61.9270i −0.696354 + 3.05093i
\(413\) −1.19606 0.953828i −0.0588544 0.0469348i
\(414\) 11.4116 + 9.10041i 0.560847 + 0.447261i
\(415\) −12.1544 25.2389i −0.596636 1.23893i
\(416\) −1.27107 5.56893i −0.0623194 0.273039i
\(417\) 21.5757 + 27.0551i 1.05657 + 1.32489i
\(418\) −2.58427 + 0.589843i −0.126401 + 0.0288502i
\(419\) −2.33491 + 4.84850i −0.114068 + 0.236864i −0.950185 0.311687i \(-0.899106\pi\)
0.836117 + 0.548551i \(0.184820\pi\)
\(420\) 20.1957 + 16.1055i 0.985450 + 0.785870i
\(421\) 3.75612 + 1.80885i 0.183062 + 0.0881581i 0.523170 0.852228i \(-0.324749\pi\)
−0.340108 + 0.940386i \(0.610464\pi\)
\(422\) 29.4952 23.5216i 1.43580 1.14502i
\(423\) −4.55832 −0.221633
\(424\) 2.35488 0.114363
\(425\) 3.89019 + 3.65048i 0.188702 + 0.177074i
\(426\) 12.5449 6.04130i 0.607801 0.292702i
\(427\) 1.78675 7.82828i 0.0864671 0.378837i
\(428\) −21.8555 + 4.98837i −1.05642 + 0.241122i
\(429\) 0.770470 0.0371987
\(430\) 39.3601 3.49907i 1.89811 0.168740i
\(431\) 19.2730i 0.928346i 0.885745 + 0.464173i \(0.153648\pi\)
−0.885745 + 0.464173i \(0.846352\pi\)
\(432\) −9.45882 + 2.15891i −0.455088 + 0.103871i
\(433\) −5.43564 + 23.8151i −0.261220 + 1.14448i 0.658710 + 0.752397i \(0.271103\pi\)
−0.919930 + 0.392083i \(0.871755\pi\)
\(434\) 31.0333 14.9448i 1.48965 0.717375i
\(435\) 30.4348 24.2709i 1.45924 1.16370i
\(436\) 65.6904i 3.14600i
\(437\) 39.7203i 1.90008i
\(438\) 5.67044 + 7.11051i 0.270944 + 0.339753i
\(439\) −2.13150 + 4.42610i −0.101731 + 0.211246i −0.945622 0.325269i \(-0.894545\pi\)
0.843891 + 0.536515i \(0.180260\pi\)
\(440\) 0.909149 1.14004i 0.0433420 0.0543491i
\(441\) 5.82678 + 2.80603i 0.277465 + 0.133620i
\(442\) −9.76497 25.2981i −0.464472 1.20331i
\(443\) 17.2448 + 21.6243i 0.819326 + 1.02740i 0.999045 + 0.0436849i \(0.0139098\pi\)
−0.179719 + 0.983718i \(0.557519\pi\)
\(444\) −3.57911 15.6811i −0.169857 0.744193i
\(445\) −1.63321 3.39140i −0.0774217 0.160768i
\(446\) −25.5369 + 32.0223i −1.20921 + 1.51630i
\(447\) −22.4372 17.8931i −1.06124 0.846313i
\(448\) 13.3966 + 3.05769i 0.632931 + 0.144462i
\(449\) −10.0636 20.8972i −0.474929 0.986200i −0.991518 0.129967i \(-0.958513\pi\)
0.516590 0.856233i \(-0.327201\pi\)
\(450\) −3.45711 1.66485i −0.162969 0.0784820i
\(451\) −0.159135 + 0.697216i −0.00749337 + 0.0328306i
\(452\) −14.5387 3.31837i −0.683845 0.156083i
\(453\) −1.80029 + 3.73834i −0.0845849 + 0.175642i
\(454\) −18.4914 38.3977i −0.867843 1.80209i
\(455\) −2.02891 + 8.88922i −0.0951166 + 0.416733i
\(456\) −55.1904 44.0128i −2.58452 2.06109i
\(457\) 4.91999 6.16947i 0.230147 0.288596i −0.653326 0.757076i \(-0.726627\pi\)
0.883474 + 0.468481i \(0.155198\pi\)
\(458\) 17.3202 8.34095i 0.809318 0.389747i
\(459\) 13.9736 5.39375i 0.652230 0.251759i
\(460\) 29.0203 + 36.3903i 1.35308 + 1.69671i
\(461\) 1.56584 + 6.86039i 0.0729284 + 0.319520i 0.998213 0.0597527i \(-0.0190312\pi\)
−0.925285 + 0.379273i \(0.876174\pi\)
\(462\) −0.389258 + 0.808302i −0.0181099 + 0.0376056i
\(463\) 13.1866 16.5355i 0.612834 0.768470i −0.374482 0.927234i \(-0.622179\pi\)
0.987317 + 0.158764i \(0.0507509\pi\)
\(464\) −8.73748 + 18.1436i −0.405627 + 0.842294i
\(465\) −43.6055 + 34.7742i −2.02216 + 1.61262i
\(466\) 19.1566i 0.887412i
\(467\) −1.25724 −0.0581780 −0.0290890 0.999577i \(-0.509261\pi\)
−0.0290890 + 0.999577i \(0.509261\pi\)
\(468\) 7.94536 + 9.96316i 0.367274 + 0.460547i
\(469\) −3.89720 8.09261i −0.179956 0.373682i
\(470\) −21.6905 4.95071i −1.00051 0.228359i
\(471\) −11.4085 + 2.60391i −0.525674 + 0.119982i
\(472\) −4.89897 −0.225493
\(473\) 0.276153 + 0.853087i 0.0126975 + 0.0392250i
\(474\) −27.4133 −1.25914
\(475\) 2.32356 + 10.1802i 0.106612 + 0.467099i
\(476\) 20.5635 + 1.65734i 0.942528 + 0.0759640i
\(477\) 0.616269 0.296779i 0.0282170 0.0135886i
\(478\) −6.70320 8.40555i −0.306597 0.384461i
\(479\) 15.6091i 0.713197i 0.934258 + 0.356599i \(0.116064\pi\)
−0.934258 + 0.356599i \(0.883936\pi\)
\(480\) −10.7700 −0.491583
\(481\) 4.43877 3.53980i 0.202391 0.161401i
\(482\) 12.5010 25.9586i 0.569405 1.18238i
\(483\) −10.5105 8.38185i −0.478245 0.381387i
\(484\) −37.2957 17.9607i −1.69526 0.816394i
\(485\) 3.89745 + 17.0758i 0.176974 + 0.775373i
\(486\) −22.7368 + 18.1320i −1.03136 + 0.822485i
\(487\) 10.4194 2.37815i 0.472146 0.107764i 0.0201743 0.999796i \(-0.493578\pi\)
0.451972 + 0.892032i \(0.350721\pi\)
\(488\) −11.1566 23.1669i −0.505035 1.04872i
\(489\) 25.4701 31.9385i 1.15180 1.44431i
\(490\) 24.6788 + 19.6806i 1.11487 + 0.889081i
\(491\) −5.97035 + 26.1578i −0.269438 + 1.18049i 0.641231 + 0.767348i \(0.278424\pi\)
−0.910669 + 0.413137i \(0.864433\pi\)
\(492\) −36.5518 + 17.6024i −1.64788 + 0.793579i
\(493\) 9.33069 29.6563i 0.420233 1.33565i
\(494\) 11.8110 51.7473i 0.531401 2.32822i
\(495\) 0.0942472 0.412924i 0.00423610 0.0185596i
\(496\) 12.5186 25.9952i 0.562104 1.16722i
\(497\) −3.36875 + 1.62231i −0.151109 + 0.0727704i
\(498\) 53.8090 + 12.2816i 2.41124 + 0.550350i
\(499\) −34.6658 27.6451i −1.55185 1.23756i −0.852407 0.522878i \(-0.824858\pi\)
−0.699447 0.714684i \(-0.746570\pi\)
\(500\) 27.4024 + 21.8527i 1.22547 + 0.977281i
\(501\) −24.0944 + 11.6033i −1.07646 + 0.518396i
\(502\) −0.990684 4.34047i −0.0442164 0.193725i
\(503\) −26.3353 + 21.0017i −1.17423 + 0.936418i −0.998843 0.0480816i \(-0.984689\pi\)
−0.175387 + 0.984499i \(0.556118\pi\)
\(504\) −6.79117 + 1.55004i −0.302503 + 0.0690442i
\(505\) 14.8674 30.8725i 0.661591 1.37381i
\(506\) −1.00791 + 1.26387i −0.0448069 + 0.0561860i
\(507\) 4.91323 10.2024i 0.218204 0.453106i
\(508\) −16.9117 21.2066i −0.750334 0.940889i
\(509\) −12.7103 −0.563373 −0.281686 0.959507i \(-0.590894\pi\)
−0.281686 + 0.959507i \(0.590894\pi\)
\(510\) −50.5996 + 7.33595i −2.24059 + 0.324842i
\(511\) −1.52272 1.90943i −0.0673611 0.0844682i
\(512\) 25.4753 12.2682i 1.12586 0.542185i
\(513\) 28.5830 + 6.52389i 1.26197 + 0.288037i
\(514\) −10.7461 47.0816i −0.473989 2.07668i
\(515\) 42.2738i 1.86281i
\(516\) −28.0690 + 42.4217i −1.23567 + 1.86751i
\(517\) 0.504851i 0.0222033i
\(518\) 1.47105 + 6.44511i 0.0646344 + 0.283182i
\(519\) −2.32614 + 10.1915i −0.102106 + 0.447356i
\(520\) 12.6686 + 26.3066i 0.555555 + 1.15362i
\(521\) 32.7688 26.1323i 1.43563 1.14488i 0.470723 0.882281i \(-0.343993\pi\)
0.964906 0.262595i \(-0.0845783\pi\)
\(522\) 22.3616i 0.978741i
\(523\) −25.4958 −1.11486 −0.557428 0.830226i \(-0.688212\pi\)
−0.557428 + 0.830226i \(0.688212\pi\)
\(524\) −31.5775 + 25.1822i −1.37947 + 1.10009i
\(525\) 3.18414 + 1.53340i 0.138967 + 0.0669230i
\(526\) 33.5504 42.0709i 1.46287 1.83438i
\(527\) −13.3686 + 42.4902i −0.582344 + 1.85090i
\(528\) 0.167225 + 0.732660i 0.00727753 + 0.0318849i
\(529\) −0.762851 0.956585i −0.0331674 0.0415907i
\(530\) 3.25480 0.742887i 0.141379 0.0322689i
\(531\) −1.28206 + 0.617405i −0.0556365 + 0.0267931i
\(532\) 31.5708 + 25.1769i 1.36877 + 1.09156i
\(533\) −11.1959 8.92840i −0.484947 0.386732i
\(534\) 7.23043 + 1.65030i 0.312891 + 0.0714154i
\(535\) −13.4419 + 6.47328i −0.581144 + 0.279864i
\(536\) −25.9151 12.4801i −1.11936 0.539056i
\(537\) −17.6819 4.03579i −0.763032 0.174157i
\(538\) 32.2663 + 7.36457i 1.39110 + 0.317509i
\(539\) −0.310778 + 0.645338i −0.0133862 + 0.0277967i
\(540\) −30.9532 + 14.9063i −1.33201 + 0.641464i
\(541\) 26.9453 + 6.15009i 1.15847 + 0.264413i 0.758223 0.651995i \(-0.226068\pi\)
0.400245 + 0.916408i \(0.368925\pi\)
\(542\) −31.7318 + 39.7905i −1.36300 + 1.70915i
\(543\) 6.63057 8.31447i 0.284545 0.356808i
\(544\) −7.13403 + 4.80537i −0.305869 + 0.206028i
\(545\) −9.72828 42.6224i −0.416714 1.82574i
\(546\) −11.2006 14.0452i −0.479343 0.601077i
\(547\) 36.9005 8.42230i 1.57775 0.360112i 0.658127 0.752907i \(-0.271349\pi\)
0.919626 + 0.392796i \(0.128492\pi\)
\(548\) 51.8455 + 24.9675i 2.21473 + 1.06656i
\(549\) −5.83933 4.65671i −0.249217 0.198744i
\(550\) 0.184389 0.382888i 0.00786237 0.0163264i
\(551\) 47.5770 37.9414i 2.02685 1.61636i
\(552\) −43.0502 −1.83234
\(553\) 7.36146 0.313041
\(554\) 28.1805 22.4732i 1.19728 0.954795i
\(555\) −4.64453 9.64446i −0.197149 0.409385i
\(556\) −61.8011 14.1057i −2.62095 0.598214i
\(557\) −0.817372 3.58114i −0.0346331 0.151738i 0.954655 0.297715i \(-0.0962245\pi\)
−0.989288 + 0.145977i \(0.953367\pi\)
\(558\) 32.0387i 1.35630i
\(559\) −17.7898 2.42961i −0.752427 0.102762i
\(560\) −8.89335 −0.375813
\(561\) −0.417789 1.08236i −0.0176390 0.0456974i
\(562\) −12.3031 + 53.9036i −0.518977 + 2.27378i
\(563\) 18.7203 9.01521i 0.788966 0.379946i 0.00439922 0.999990i \(-0.498600\pi\)
0.784567 + 0.620044i \(0.212885\pi\)
\(564\) 22.3914 17.8565i 0.942848 0.751896i
\(565\) −9.92472 −0.417536
\(566\) 1.78124i 0.0748710i
\(567\) 11.6017 9.25207i 0.487227 0.388550i
\(568\) −5.19514 + 10.7878i −0.217983 + 0.452647i
\(569\) 0.100470 0.125986i 0.00421193 0.00528159i −0.779721 0.626127i \(-0.784639\pi\)
0.783933 + 0.620845i \(0.213211\pi\)
\(570\) −90.1661 43.4217i −3.77664 1.81874i
\(571\) 6.19135 1.41314i 0.259100 0.0591379i −0.0909976 0.995851i \(-0.529006\pi\)
0.350098 + 0.936713i \(0.386148\pi\)
\(572\) −1.10346 + 0.879979i −0.0461379 + 0.0367938i
\(573\) −51.1722 + 11.6797i −2.13775 + 0.487927i
\(574\) 15.0232 7.23479i 0.627056 0.301974i
\(575\) 4.97876 + 3.97043i 0.207629 + 0.165578i
\(576\) 7.96909 9.99292i 0.332045 0.416372i
\(577\) −3.28093 + 14.3747i −0.136587 + 0.598426i 0.859584 + 0.510995i \(0.170723\pi\)
−0.996171 + 0.0874310i \(0.972134\pi\)
\(578\) −30.2438 + 27.4358i −1.25798 + 1.14118i
\(579\) 12.7305 + 6.13066i 0.529060 + 0.254782i
\(580\) −15.8677 + 69.5211i −0.658872 + 2.88671i
\(581\) −14.4497 3.29804i −0.599473 0.136826i
\(582\) −31.0915 14.9729i −1.28878 0.620645i
\(583\) 0.0328694 + 0.0682541i 0.00136131 + 0.00282680i
\(584\) −7.62478 1.74031i −0.315516 0.0720144i
\(585\) 6.63072 + 5.28782i 0.274147 + 0.218625i
\(586\) 17.8915 22.4352i 0.739090 0.926789i
\(587\) −20.3506 + 9.80031i −0.839957 + 0.404502i −0.803840 0.594845i \(-0.797213\pi\)
−0.0361173 + 0.999348i \(0.511499\pi\)
\(588\) −39.6145 + 9.04176i −1.63368 + 0.372876i
\(589\) −68.1661 + 54.3606i −2.80873 + 2.23989i
\(590\) −6.77113 + 1.54547i −0.278763 + 0.0636258i
\(591\) −36.2968 17.4796i −1.49305 0.719015i
\(592\) 4.32949 + 3.45266i 0.177941 + 0.141903i
\(593\) −18.4312 8.87598i −0.756877 0.364493i 0.0153142 0.999883i \(-0.495125\pi\)
−0.772192 + 0.635390i \(0.780839\pi\)
\(594\) −0.743948 0.932882i −0.0305246 0.0382766i
\(595\) 13.5878 1.96997i 0.557047 0.0807608i
\(596\) 52.5706 2.15337
\(597\) 18.8361 + 23.6197i 0.770909 + 0.966689i
\(598\) −14.0447 29.1642i −0.574332 1.19261i
\(599\) 1.72442 7.55520i 0.0704581 0.308697i −0.927403 0.374063i \(-0.877964\pi\)
0.997861 + 0.0653661i \(0.0208215\pi\)
\(600\) 11.0336 2.51836i 0.450446 0.102811i
\(601\) 16.7245i 0.682205i 0.940026 + 0.341103i \(0.110800\pi\)
−0.940026 + 0.341103i \(0.889200\pi\)
\(602\) 11.5367 17.4358i 0.470199 0.710629i
\(603\) −8.35478 −0.340233
\(604\) −1.69132 7.41017i −0.0688189 0.301515i
\(605\) −26.8587 6.13033i −1.09196 0.249233i
\(606\) 29.2926 + 60.8266i 1.18993 + 2.47091i
\(607\) −19.9135 + 15.8805i −0.808264 + 0.644569i −0.937866 0.346997i \(-0.887201\pi\)
0.129602 + 0.991566i \(0.458630\pi\)
\(608\) −16.8362 −0.682798
\(609\) 20.5960i 0.834590i
\(610\) −22.7285 28.5007i −0.920251 1.15396i
\(611\) 9.10800 + 4.38618i 0.368470 + 0.177446i
\(612\) 9.68795 16.5642i 0.391612 0.669570i
\(613\) −18.1818 8.75590i −0.734356 0.353647i 0.0290395 0.999578i \(-0.490755\pi\)
−0.763396 + 0.645931i \(0.776469\pi\)
\(614\) 7.28591 + 31.9217i 0.294036 + 1.28825i
\(615\) −21.1094 + 16.8342i −0.851213 + 0.678820i
\(616\) −0.171673 0.752148i −0.00691690 0.0303049i
\(617\) 14.6000 + 30.3172i 0.587773 + 1.22052i 0.956703 + 0.291066i \(0.0940098\pi\)
−0.368930 + 0.929457i \(0.620276\pi\)
\(618\) −65.1188 51.9305i −2.61946 2.08895i
\(619\) −32.2649 25.7304i −1.29684 1.03419i −0.996773 0.0802727i \(-0.974421\pi\)
−0.300063 0.953919i \(-0.597008\pi\)
\(620\) 22.7345 99.6066i 0.913041 4.00030i
\(621\) 16.1091 7.75771i 0.646434 0.311306i
\(622\) −18.9523 + 39.3549i −0.759919 + 1.57799i
\(623\) −1.94163 0.443165i −0.0777898 0.0177550i
\(624\) −14.6707 3.34850i −0.587300 0.134047i
\(625\) 26.8446 + 12.9277i 1.07378 + 0.517107i
\(626\) 5.34797 + 11.1052i 0.213748 + 0.443852i
\(627\) 0.505326 2.21398i 0.0201808 0.0884178i
\(628\) 13.3651 16.7592i 0.533324 0.668767i
\(629\) −7.37968 4.31616i −0.294247 0.172097i
\(630\) −8.89744 + 4.28478i −0.354483 + 0.170710i
\(631\) 10.6369 + 46.6032i 0.423447 + 1.85524i 0.511729 + 0.859147i \(0.329005\pi\)
−0.0882824 + 0.996095i \(0.528138\pi\)
\(632\) 18.4307 14.6980i 0.733134 0.584655i
\(633\) 7.19192 + 31.5098i 0.285853 + 1.25240i
\(634\) 18.7081 38.8477i 0.742992 1.54284i
\(635\) −14.1135 11.2551i −0.560076 0.446645i
\(636\) −1.86465 + 3.87198i −0.0739381 + 0.153534i
\(637\) −8.94245 11.2135i −0.354313 0.444294i
\(638\) −2.47663 −0.0980509
\(639\) 3.47789i 0.137583i
\(640\) 40.5898 32.3693i 1.60445 1.27951i
\(641\) 18.2149 + 37.8236i 0.719445 + 1.49394i 0.863487 + 0.504372i \(0.168276\pi\)
−0.144041 + 0.989572i \(0.546010\pi\)
\(642\) 6.54100 28.6580i 0.258153 1.13104i
\(643\) −26.8673 + 6.13229i −1.05954 + 0.241834i −0.716573 0.697512i \(-0.754290\pi\)
−0.342970 + 0.939346i \(0.611433\pi\)
\(644\) 24.6262 0.970409
\(645\) −11.9299 + 31.6816i −0.469738 + 1.24746i
\(646\) −79.0996 + 11.4679i −3.11213 + 0.451198i
\(647\) −7.65510 33.5392i −0.300953 1.31856i −0.868692 0.495353i \(-0.835039\pi\)
0.567739 0.823209i \(-0.307818\pi\)
\(648\) 10.5741 46.3283i 0.415391 1.81995i
\(649\) −0.0683800 0.141993i −0.00268415 0.00557370i
\(650\) 5.30568 + 6.65311i 0.208106 + 0.260956i
\(651\) 29.5089i 1.15655i
\(652\) 74.8323i 2.93066i
\(653\) −17.1804 + 13.7009i −0.672322 + 0.536159i −0.899076 0.437793i \(-0.855760\pi\)
0.226754 + 0.973952i \(0.427189\pi\)
\(654\) 77.6064 + 37.3732i 3.03465 + 1.46141i
\(655\) −16.7594 + 21.0156i −0.654843 + 0.821147i
\(656\) 6.06027 12.5843i 0.236614 0.491334i
\(657\) −2.21472 + 0.505496i −0.0864045 + 0.0197213i
\(658\) −9.20311 + 7.33923i −0.358774 + 0.286113i
\(659\) 3.31806 + 14.5374i 0.129253 + 0.566295i 0.997532 + 0.0702180i \(0.0223695\pi\)
−0.868279 + 0.496077i \(0.834773\pi\)
\(660\) 1.15461 + 2.39757i 0.0449431 + 0.0933252i
\(661\) 18.4129 23.0891i 0.716180 0.898062i −0.281934 0.959434i \(-0.590976\pi\)
0.998115 + 0.0613717i \(0.0195475\pi\)
\(662\) −27.5058 + 34.4911i −1.06904 + 1.34054i
\(663\) 23.1566 + 1.86633i 0.899329 + 0.0724824i
\(664\) −42.7621 + 20.5932i −1.65949 + 0.799170i
\(665\) 24.2129 + 11.6603i 0.938934 + 0.452167i
\(666\) 5.99496 + 1.36831i 0.232300 + 0.0530210i
\(667\) 8.25809 36.1811i 0.319754 1.40094i
\(668\) 21.2553 44.1371i 0.822392 1.70772i
\(669\) −15.2247 31.6144i −0.588620 1.22228i
\(670\) −39.7557 9.07398i −1.53590 0.350558i
\(671\) 0.515749 0.646729i 0.0199103 0.0249667i
\(672\) −3.55281 + 4.45508i −0.137052 + 0.171858i
\(673\) 4.65231 + 9.66061i 0.179333 + 0.372389i 0.971186 0.238323i \(-0.0765976\pi\)
−0.791853 + 0.610712i \(0.790883\pi\)
\(674\) 55.4995 12.6674i 2.13776 0.487930i
\(675\) −3.67489 + 2.93063i −0.141447 + 0.112800i
\(676\) 4.61585 + 20.2234i 0.177533 + 0.777822i
\(677\) 9.37228 19.4617i 0.360206 0.747975i −0.639579 0.768726i \(-0.720891\pi\)
0.999785 + 0.0207502i \(0.00660545\pi\)
\(678\) 12.1919 15.2881i 0.468225 0.587136i
\(679\) 8.34918 + 4.02075i 0.320412 + 0.154302i
\(680\) 30.0862 32.0618i 1.15375 1.22951i
\(681\) 36.5116 1.39913
\(682\) 3.54840 0.135875
\(683\) 11.3807 9.07577i 0.435469 0.347275i −0.381089 0.924538i \(-0.624451\pi\)
0.816558 + 0.577264i \(0.195879\pi\)
\(684\) 33.8407 16.2968i 1.29393 0.623124i
\(685\) 37.3368 + 8.52188i 1.42657 + 0.325604i
\(686\) 38.0404 8.68247i 1.45239 0.331498i
\(687\) 16.4694i 0.628346i
\(688\) −1.55076 17.4441i −0.0591220 0.665049i
\(689\) −1.51694 −0.0577909
\(690\) −59.5019 + 13.5809i −2.26520 + 0.517017i
\(691\) −26.3520 6.01467i −1.00248 0.228809i −0.310379 0.950613i \(-0.600456\pi\)
−0.692097 + 0.721804i \(0.743313\pi\)
\(692\) −8.30854 17.2529i −0.315843 0.655855i
\(693\) −0.139718 0.175201i −0.00530744 0.00665533i
\(694\) 20.6346i 0.783278i
\(695\) −42.1878 −1.60027
\(696\) −41.1221 51.5655i −1.55873 1.95459i
\(697\) −6.47172 + 20.5695i −0.245134 + 0.779125i
\(698\) 10.5980 13.2895i 0.401141 0.503015i
\(699\) 14.7864 + 7.12077i 0.559274 + 0.269332i
\(700\) −6.31163 + 1.44059i −0.238557 + 0.0544491i
\(701\) 15.0720 + 18.8997i 0.569263 + 0.713833i 0.980240 0.197813i \(-0.0633838\pi\)
−0.410977 + 0.911646i \(0.634812\pi\)
\(702\) 23.2936 5.31660i 0.879159 0.200662i
\(703\) −7.26053 15.0766i −0.273836 0.568626i
\(704\) 1.10675 + 0.882607i 0.0417124 + 0.0332645i
\(705\) 11.8840 14.9020i 0.447576 0.561242i
\(706\) 8.12739 35.6084i 0.305879 1.34014i
\(707\) −7.86611 16.3341i −0.295835 0.614309i
\(708\) 3.87913 8.05509i 0.145786 0.302729i
\(709\) 39.2302 + 8.95403i 1.47332 + 0.336276i 0.882417 0.470467i \(-0.155915\pi\)
0.590903 + 0.806743i \(0.298772\pi\)
\(710\) −3.77727 + 16.5493i −0.141758 + 0.621084i
\(711\) 2.97094 6.16922i 0.111419 0.231364i
\(712\) −5.74604 + 2.76715i −0.215342 + 0.103703i
\(713\) −11.8318 + 51.8385i −0.443104 + 1.94137i
\(714\) −13.6572 + 23.3508i −0.511107 + 0.873880i
\(715\) −0.585647 + 0.734378i −0.0219020 + 0.0274642i
\(716\) 29.9333 14.4151i 1.11866 0.538718i
\(717\) 8.97968 2.04955i 0.335352 0.0765420i
\(718\) 3.29031 + 4.12592i 0.122793 + 0.153978i
\(719\) −30.2873 + 6.91287i −1.12952 + 0.257807i −0.746144 0.665784i \(-0.768097\pi\)
−0.383380 + 0.923591i \(0.625240\pi\)
\(720\) −3.58918 + 7.45301i −0.133761 + 0.277757i
\(721\) 17.4868 + 13.9452i 0.651241 + 0.519347i
\(722\) −99.8332 48.0772i −3.71541 1.78925i
\(723\) 15.3899 + 19.2983i 0.572357 + 0.717713i
\(724\) 19.4809i 0.724001i
\(725\) 9.75618i 0.362336i
\(726\) 42.4373 33.8426i 1.57500 1.25602i
\(727\) 44.6528 21.5037i 1.65608 0.797527i 0.657035 0.753860i \(-0.271810\pi\)
0.999046 0.0436662i \(-0.0139038\pi\)
\(728\) 15.0610 + 3.43757i 0.558197 + 0.127405i
\(729\) 1.91908 + 8.40802i 0.0710769 + 0.311408i
\(730\) −11.0876 −0.410371
\(731\) 6.23338 + 26.3086i 0.230550 + 0.973060i
\(732\) 46.9260 1.73444
\(733\) 2.51820 + 11.0330i 0.0930118 + 0.407511i 0.999904 0.0138512i \(-0.00440911\pi\)
−0.906892 + 0.421363i \(0.861552\pi\)
\(734\) 43.0035 + 9.81527i 1.58729 + 0.362288i
\(735\) −24.3644 + 11.7333i −0.898693 + 0.432788i
\(736\) −8.02753 + 6.40174i −0.295899 + 0.235971i
\(737\) 0.925324i 0.0340848i
\(738\) 15.5099i 0.570927i
\(739\) 2.84314 + 3.56519i 0.104587 + 0.131148i 0.831370 0.555719i \(-0.187557\pi\)
−0.726783 + 0.686867i \(0.758986\pi\)
\(740\) 17.6671 + 8.50802i 0.649455 + 0.312761i
\(741\) 35.5520 + 28.3518i 1.30603 + 1.04153i
\(742\) 0.766391 1.59143i 0.0281351 0.0584231i
\(743\) −27.7022 + 6.32285i −1.01630 + 0.231963i −0.698053 0.716046i \(-0.745950\pi\)
−0.318243 + 0.948009i \(0.603093\pi\)
\(744\) 58.9179 + 73.8807i 2.16003 + 2.70860i
\(745\) 34.1098 7.78533i 1.24969 0.285232i
\(746\) 69.7346 33.5824i 2.55317 1.22954i
\(747\) −8.59550 + 10.7784i −0.314493 + 0.394361i
\(748\) 1.83455 + 1.07298i 0.0670779 + 0.0392320i
\(749\) −1.75649 + 7.69571i −0.0641809 + 0.281195i
\(750\) −41.4067 + 19.9404i −1.51196 + 0.728121i
\(751\) 12.0602 25.0432i 0.440082 0.913840i −0.556470 0.830868i \(-0.687845\pi\)
0.996552 0.0829720i \(-0.0264412\pi\)
\(752\) −2.19411 + 9.61302i −0.0800109 + 0.350551i
\(753\) 3.71854 + 0.848732i 0.135511 + 0.0309295i
\(754\) 21.5172 44.6809i 0.783609 1.62718i
\(755\) −2.19479 4.55752i −0.0798765 0.165865i
\(756\) −4.04475 + 17.7212i −0.147106 + 0.644514i