Properties

Label 750.2.m.d.91.6
Level $750$
Weight $2$
Character 750.91
Analytic conductor $5.989$
Analytic rank $0$
Dimension $140$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 750 = 2 \cdot 3 \cdot 5^{3} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 750.m (of order \(25\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.98878015160\)
Analytic rank: \(0\)
Dimension: \(140\)
Relative dimension: \(7\) over \(\Q(\zeta_{25})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{25}]$

Embedding invariants

Embedding label 91.6
Character \(\chi\) \(=\) 750.91
Dual form 750.2.m.d.511.6

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.728969 - 0.684547i) q^{2} +(0.535827 - 0.844328i) q^{3} +(0.0627905 + 0.998027i) q^{4} +(1.69474 + 1.45871i) q^{5} +(-0.968583 + 0.248690i) q^{6} +(1.39889 + 4.30534i) q^{7} +(0.637424 - 0.770513i) q^{8} +(-0.425779 - 0.904827i) q^{9} +O(q^{10})\) \(q+(-0.728969 - 0.684547i) q^{2} +(0.535827 - 0.844328i) q^{3} +(0.0627905 + 0.998027i) q^{4} +(1.69474 + 1.45871i) q^{5} +(-0.968583 + 0.248690i) q^{6} +(1.39889 + 4.30534i) q^{7} +(0.637424 - 0.770513i) q^{8} +(-0.425779 - 0.904827i) q^{9} +(-0.236856 - 2.22349i) q^{10} +(1.08135 + 1.01545i) q^{11} +(0.876307 + 0.481754i) q^{12} +(-2.42797 - 5.15971i) q^{13} +(1.92746 - 4.09606i) q^{14} +(2.13972 - 0.649300i) q^{15} +(-0.992115 + 0.125333i) q^{16} +(-0.330830 + 5.25839i) q^{17} +(-0.309017 + 0.951057i) q^{18} +(-0.691167 - 1.08911i) q^{19} +(-1.34942 + 1.78299i) q^{20} +(4.38468 + 1.12579i) q^{21} +(-0.0931432 - 1.48047i) q^{22} +(1.26555 + 6.63422i) q^{23} +(-0.309017 - 0.951057i) q^{24} +(0.744305 + 4.94429i) q^{25} +(-1.76215 + 5.42333i) q^{26} +(-0.992115 - 0.125333i) q^{27} +(-4.20901 + 1.66646i) q^{28} +(-6.48783 + 2.56872i) q^{29} +(-2.00427 - 0.991421i) q^{30} +(-0.308542 + 4.90413i) q^{31} +(0.809017 + 0.587785i) q^{32} +(1.43679 - 0.368906i) q^{33} +(3.84078 - 3.60674i) q^{34} +(-3.90950 + 9.33702i) q^{35} +(0.876307 - 0.481754i) q^{36} +(7.71900 - 0.975136i) q^{37} +(-0.241705 + 1.26706i) q^{38} +(-5.65746 - 0.714703i) q^{39} +(2.20423 - 0.376002i) q^{40} +(0.264962 - 1.38898i) q^{41} +(-2.42564 - 3.82219i) q^{42} +(9.82026 - 7.13484i) q^{43} +(-0.945553 + 1.14298i) q^{44} +(0.598298 - 2.15454i) q^{45} +(3.61889 - 5.70246i) q^{46} +(-6.00062 - 7.25350i) q^{47} +(-0.425779 + 0.904827i) q^{48} +(-10.9159 + 7.93090i) q^{49} +(2.84202 - 4.11374i) q^{50} +(4.26254 + 3.09692i) q^{51} +(4.99707 - 2.74716i) q^{52} +(9.32563 + 2.39442i) q^{53} +(0.637424 + 0.770513i) q^{54} +(0.351351 + 3.29831i) q^{55} +(4.20901 + 1.66646i) q^{56} -1.28991 q^{57} +(6.48783 + 2.56872i) q^{58} +(4.85940 + 2.67148i) q^{59} +(0.782373 + 2.09473i) q^{60} +(-2.45703 - 12.8802i) q^{61} +(3.58203 - 3.36375i) q^{62} +(3.29997 - 3.09888i) q^{63} +(-0.187381 - 0.982287i) q^{64} +(3.41175 - 12.2861i) q^{65} +(-1.29991 - 0.714632i) q^{66} +(5.02209 + 1.98838i) q^{67} -5.26879 q^{68} +(6.27957 + 2.48626i) q^{69} +(9.24154 - 4.13016i) q^{70} +(-6.10543 - 7.38020i) q^{71} +(-0.968583 - 0.248690i) q^{72} +(-7.69336 + 4.22946i) q^{73} +(-6.29443 - 4.57317i) q^{74} +(4.57342 + 2.02085i) q^{75} +(1.04356 - 0.758189i) q^{76} +(-2.85919 + 6.07609i) q^{77} +(3.63486 + 4.39379i) q^{78} +(5.88631 - 9.27534i) q^{79} +(-1.86420 - 1.23480i) q^{80} +(-0.637424 + 0.770513i) q^{81} +(-1.14397 + 0.831143i) q^{82} +(1.35322 + 2.13233i) q^{83} +(-0.848257 + 4.44672i) q^{84} +(-8.23117 + 8.42904i) q^{85} +(-12.0428 - 1.52136i) q^{86} +(-1.30752 + 6.85425i) q^{87} +(1.47170 - 0.185919i) q^{88} +(-8.38491 + 4.60964i) q^{89} +(-1.91102 + 1.16103i) q^{90} +(18.8178 - 17.6711i) q^{91} +(-6.54167 + 1.67961i) q^{92} +(3.97537 + 2.88828i) q^{93} +(-0.591101 + 9.39528i) q^{94} +(0.417343 - 2.85397i) q^{95} +(0.929776 - 0.368125i) q^{96} +(8.90604 - 3.52615i) q^{97} +(13.3865 + 1.69110i) q^{98} +(0.458395 - 1.41079i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 140 q - 20 q^{5} + 5 q^{7} + O(q^{10}) \) \( 140 q - 20 q^{5} + 5 q^{7} + 20 q^{10} + 5 q^{11} - 10 q^{13} + 20 q^{14} - 5 q^{17} + 35 q^{18} - 5 q^{19} - 5 q^{23} + 35 q^{24} - 40 q^{25} - 10 q^{26} + 25 q^{29} + 5 q^{30} + 30 q^{31} + 35 q^{32} - 15 q^{34} - 25 q^{37} + 35 q^{38} - 10 q^{39} + 5 q^{40} + 55 q^{41} + 35 q^{43} + 25 q^{44} + 20 q^{46} + 10 q^{47} - 60 q^{49} - 5 q^{51} + 40 q^{52} + 40 q^{55} + 20 q^{57} - 25 q^{58} + 75 q^{59} + 50 q^{61} + 5 q^{62} + 5 q^{63} - 35 q^{65} + 20 q^{66} - 95 q^{67} + 20 q^{68} - 20 q^{69} + 65 q^{70} - 50 q^{71} + 20 q^{73} + 30 q^{74} + 35 q^{75} - 5 q^{76} + 15 q^{77} + 5 q^{78} + 70 q^{79} - 15 q^{82} + 25 q^{83} + 5 q^{84} - 95 q^{85} - 5 q^{86} - 5 q^{88} - 105 q^{89} - 5 q^{90} - 65 q^{91} + 55 q^{92} - 30 q^{93} - 10 q^{94} + 125 q^{95} - 5 q^{97} + 70 q^{98} - 10 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/750\mathbb{Z}\right)^\times\).

\(n\) \(127\) \(251\)
\(\chi(n)\) \(e\left(\frac{6}{25}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.728969 0.684547i −0.515459 0.484048i
\(3\) 0.535827 0.844328i 0.309360 0.487473i
\(4\) 0.0627905 + 0.998027i 0.0313953 + 0.499013i
\(5\) 1.69474 + 1.45871i 0.757912 + 0.652357i
\(6\) −0.968583 + 0.248690i −0.395422 + 0.101527i
\(7\) 1.39889 + 4.30534i 0.528731 + 1.62727i 0.756818 + 0.653625i \(0.226753\pi\)
−0.228088 + 0.973641i \(0.573247\pi\)
\(8\) 0.637424 0.770513i 0.225363 0.272418i
\(9\) −0.425779 0.904827i −0.141926 0.301609i
\(10\) −0.236856 2.22349i −0.0749003 0.703129i
\(11\) 1.08135 + 1.01545i 0.326039 + 0.306171i 0.830230 0.557421i \(-0.188209\pi\)
−0.504191 + 0.863592i \(0.668209\pi\)
\(12\) 0.876307 + 0.481754i 0.252968 + 0.139070i
\(13\) −2.42797 5.15971i −0.673399 1.43105i −0.890540 0.454905i \(-0.849673\pi\)
0.217141 0.976140i \(-0.430327\pi\)
\(14\) 1.92746 4.09606i 0.515136 1.09472i
\(15\) 2.13972 0.649300i 0.552474 0.167649i
\(16\) −0.992115 + 0.125333i −0.248029 + 0.0313333i
\(17\) −0.330830 + 5.25839i −0.0802381 + 1.27535i 0.727624 + 0.685976i \(0.240625\pi\)
−0.807862 + 0.589372i \(0.799375\pi\)
\(18\) −0.309017 + 0.951057i −0.0728360 + 0.224166i
\(19\) −0.691167 1.08911i −0.158565 0.249858i 0.755752 0.654858i \(-0.227272\pi\)
−0.914317 + 0.405000i \(0.867272\pi\)
\(20\) −1.34942 + 1.78299i −0.301740 + 0.398689i
\(21\) 4.38468 + 1.12579i 0.956816 + 0.245669i
\(22\) −0.0931432 1.48047i −0.0198582 0.315637i
\(23\) 1.26555 + 6.63422i 0.263884 + 1.38333i 0.829429 + 0.558613i \(0.188666\pi\)
−0.565544 + 0.824718i \(0.691334\pi\)
\(24\) −0.309017 0.951057i −0.0630778 0.194134i
\(25\) 0.744305 + 4.94429i 0.148861 + 0.988858i
\(26\) −1.76215 + 5.42333i −0.345585 + 1.06360i
\(27\) −0.992115 0.125333i −0.190933 0.0241204i
\(28\) −4.20901 + 1.66646i −0.795428 + 0.314932i
\(29\) −6.48783 + 2.56872i −1.20476 + 0.476999i −0.882798 0.469754i \(-0.844343\pi\)
−0.321963 + 0.946752i \(0.604343\pi\)
\(30\) −2.00427 0.991421i −0.365927 0.181008i
\(31\) −0.308542 + 4.90413i −0.0554158 + 0.880809i 0.867893 + 0.496751i \(0.165474\pi\)
−0.923309 + 0.384058i \(0.874526\pi\)
\(32\) 0.809017 + 0.587785i 0.143015 + 0.103907i
\(33\) 1.43679 0.368906i 0.250114 0.0642182i
\(34\) 3.84078 3.60674i 0.658689 0.618550i
\(35\) −3.90950 + 9.33702i −0.660827 + 1.57825i
\(36\) 0.876307 0.481754i 0.146051 0.0802923i
\(37\) 7.71900 0.975136i 1.26900 0.160311i 0.538147 0.842851i \(-0.319125\pi\)
0.730848 + 0.682540i \(0.239125\pi\)
\(38\) −0.241705 + 1.26706i −0.0392097 + 0.205544i
\(39\) −5.65746 0.714703i −0.905918 0.114444i
\(40\) 2.20423 0.376002i 0.348519 0.0594512i
\(41\) 0.264962 1.38898i 0.0413801 0.216922i −0.955591 0.294697i \(-0.904781\pi\)
0.996971 + 0.0777746i \(0.0247814\pi\)
\(42\) −2.42564 3.82219i −0.374284 0.589777i
\(43\) 9.82026 7.13484i 1.49758 1.08805i 0.526242 0.850335i \(-0.323601\pi\)
0.971334 0.237718i \(-0.0763994\pi\)
\(44\) −0.945553 + 1.14298i −0.142547 + 0.172310i
\(45\) 0.598298 2.15454i 0.0891890 0.321180i
\(46\) 3.61889 5.70246i 0.533577 0.840782i
\(47\) −6.00062 7.25350i −0.875280 1.05803i −0.997848 0.0655718i \(-0.979113\pi\)
0.122568 0.992460i \(-0.460887\pi\)
\(48\) −0.425779 + 0.904827i −0.0614559 + 0.130601i
\(49\) −10.9159 + 7.93090i −1.55942 + 1.13299i
\(50\) 2.84202 4.11374i 0.401923 0.581771i
\(51\) 4.26254 + 3.09692i 0.596875 + 0.433655i
\(52\) 4.99707 2.74716i 0.692969 0.380963i
\(53\) 9.32563 + 2.39442i 1.28097 + 0.328898i 0.827043 0.562138i \(-0.190021\pi\)
0.453931 + 0.891037i \(0.350021\pi\)
\(54\) 0.637424 + 0.770513i 0.0867424 + 0.104854i
\(55\) 0.351351 + 3.29831i 0.0473761 + 0.444745i
\(56\) 4.20901 + 1.66646i 0.562452 + 0.222691i
\(57\) −1.28991 −0.170853
\(58\) 6.48783 + 2.56872i 0.851894 + 0.337289i
\(59\) 4.85940 + 2.67148i 0.632641 + 0.347797i 0.765593 0.643325i \(-0.222446\pi\)
−0.132952 + 0.991122i \(0.542446\pi\)
\(60\) 0.782373 + 2.09473i 0.101004 + 0.270428i
\(61\) −2.45703 12.8802i −0.314590 1.64914i −0.691123 0.722737i \(-0.742884\pi\)
0.376533 0.926403i \(-0.377116\pi\)
\(62\) 3.58203 3.36375i 0.454918 0.427197i
\(63\) 3.29997 3.09888i 0.415757 0.390422i
\(64\) −0.187381 0.982287i −0.0234227 0.122786i
\(65\) 3.41175 12.2861i 0.423175 1.52390i
\(66\) −1.29991 0.714632i −0.160008 0.0879651i
\(67\) 5.02209 + 1.98838i 0.613546 + 0.242920i 0.654283 0.756250i \(-0.272971\pi\)
−0.0407372 + 0.999170i \(0.512971\pi\)
\(68\) −5.26879 −0.638935
\(69\) 6.27957 + 2.48626i 0.755971 + 0.299310i
\(70\) 9.24154 4.13016i 1.10458 0.493648i
\(71\) −6.10543 7.38020i −0.724581 0.875868i 0.271669 0.962391i \(-0.412424\pi\)
−0.996250 + 0.0865227i \(0.972424\pi\)
\(72\) −0.968583 0.248690i −0.114149 0.0293084i
\(73\) −7.69336 + 4.22946i −0.900440 + 0.495021i −0.863530 0.504298i \(-0.831751\pi\)
−0.0369100 + 0.999319i \(0.511751\pi\)
\(74\) −6.29443 4.57317i −0.731713 0.531621i
\(75\) 4.57342 + 2.02085i 0.528093 + 0.233347i
\(76\) 1.04356 0.758189i 0.119704 0.0869703i
\(77\) −2.85919 + 6.07609i −0.325835 + 0.692434i
\(78\) 3.63486 + 4.39379i 0.411567 + 0.497499i
\(79\) 5.88631 9.27534i 0.662262 1.04356i −0.332674 0.943042i \(-0.607951\pi\)
0.994935 0.100516i \(-0.0320493\pi\)
\(80\) −1.86420 1.23480i −0.208424 0.138055i
\(81\) −0.637424 + 0.770513i −0.0708249 + 0.0856126i
\(82\) −1.14397 + 0.831143i −0.126330 + 0.0917844i
\(83\) 1.35322 + 2.13233i 0.148535 + 0.234053i 0.910446 0.413628i \(-0.135739\pi\)
−0.761911 + 0.647682i \(0.775739\pi\)
\(84\) −0.848257 + 4.44672i −0.0925524 + 0.485177i
\(85\) −8.23117 + 8.42904i −0.892795 + 0.914257i
\(86\) −12.0428 1.52136i −1.29861 0.164052i
\(87\) −1.30752 + 6.85425i −0.140181 + 0.734852i
\(88\) 1.47170 0.185919i 0.156884 0.0198190i
\(89\) −8.38491 + 4.60964i −0.888798 + 0.488621i −0.859609 0.510953i \(-0.829293\pi\)
−0.0291897 + 0.999574i \(0.509293\pi\)
\(90\) −1.91102 + 1.16103i −0.201440 + 0.122383i
\(91\) 18.8178 17.6711i 1.97264 1.85244i
\(92\) −6.54167 + 1.67961i −0.682016 + 0.175112i
\(93\) 3.97537 + 2.88828i 0.412227 + 0.299500i
\(94\) −0.591101 + 9.39528i −0.0609674 + 0.969049i
\(95\) 0.417343 2.85397i 0.0428185 0.292811i
\(96\) 0.929776 0.368125i 0.0948949 0.0375716i
\(97\) 8.90604 3.52615i 0.904272 0.358026i 0.130468 0.991452i \(-0.458352\pi\)
0.773803 + 0.633426i \(0.218352\pi\)
\(98\) 13.3865 + 1.69110i 1.35224 + 0.170827i
\(99\) 0.458395 1.41079i 0.0460704 0.141790i
\(100\) −4.88780 + 1.05329i −0.488780 + 0.105329i
\(101\) 3.50060 + 10.7738i 0.348323 + 1.07203i 0.959781 + 0.280751i \(0.0905836\pi\)
−0.611457 + 0.791277i \(0.709416\pi\)
\(102\) −0.987273 5.17547i −0.0977546 0.512447i
\(103\) 0.630807 + 10.0264i 0.0621552 + 0.987929i 0.898289 + 0.439404i \(0.144810\pi\)
−0.836134 + 0.548525i \(0.815190\pi\)
\(104\) −5.52327 1.41814i −0.541601 0.139060i
\(105\) 5.78869 + 8.30393i 0.564919 + 0.810381i
\(106\) −5.15900 8.12929i −0.501087 0.789586i
\(107\) 3.89329 11.9823i 0.376379 1.15838i −0.566165 0.824292i \(-0.691573\pi\)
0.942544 0.334083i \(-0.108427\pi\)
\(108\) 0.0627905 0.998027i 0.00604202 0.0960352i
\(109\) −6.55126 + 0.827617i −0.627497 + 0.0792713i −0.432649 0.901562i \(-0.642421\pi\)
−0.194848 + 0.980834i \(0.562421\pi\)
\(110\) 2.00173 2.64488i 0.190857 0.252180i
\(111\) 3.31271 7.03987i 0.314429 0.668195i
\(112\) −1.92746 4.09606i −0.182128 0.387042i
\(113\) 7.39810 + 4.06714i 0.695955 + 0.382604i 0.790120 0.612952i \(-0.210018\pi\)
−0.0941652 + 0.995557i \(0.530018\pi\)
\(114\) 0.940303 + 0.883003i 0.0880674 + 0.0827008i
\(115\) −7.53266 + 13.0894i −0.702424 + 1.22059i
\(116\) −2.97102 6.31374i −0.275852 0.586216i
\(117\) −3.63486 + 4.39379i −0.336043 + 0.406206i
\(118\) −1.71360 5.27392i −0.157750 0.485503i
\(119\) −23.1020 + 5.93158i −2.11775 + 0.543747i
\(120\) 0.863615 2.06256i 0.0788369 0.188285i
\(121\) −0.552527 8.78217i −0.0502298 0.798379i
\(122\) −7.02601 + 11.0712i −0.636105 + 1.00234i
\(123\) −1.03078 0.967966i −0.0929423 0.0872786i
\(124\) −4.91383 −0.441275
\(125\) −5.95090 + 9.46503i −0.532265 + 0.846578i
\(126\) −4.52690 −0.403289
\(127\) 2.09359 + 1.96601i 0.185776 + 0.174455i 0.771855 0.635799i \(-0.219329\pi\)
−0.586079 + 0.810254i \(0.699329\pi\)
\(128\) −0.535827 + 0.844328i −0.0473608 + 0.0746288i
\(129\) −0.762184 12.1146i −0.0671065 1.06663i
\(130\) −10.8975 + 6.62068i −0.955771 + 0.580672i
\(131\) 9.75058 2.50352i 0.851912 0.218734i 0.202606 0.979260i \(-0.435059\pi\)
0.649307 + 0.760527i \(0.275059\pi\)
\(132\) 0.458395 + 1.41079i 0.0398981 + 0.122794i
\(133\) 3.72210 4.49925i 0.322747 0.390134i
\(134\) −2.29980 4.88733i −0.198673 0.422201i
\(135\) −1.49855 1.65962i −0.128975 0.142837i
\(136\) 3.84078 + 3.60674i 0.329344 + 0.309275i
\(137\) 3.51567 + 1.93275i 0.300364 + 0.165126i 0.624808 0.780778i \(-0.285177\pi\)
−0.324444 + 0.945905i \(0.605177\pi\)
\(138\) −2.87565 6.11107i −0.244792 0.520208i
\(139\) 9.76158 20.7444i 0.827966 1.75952i 0.202474 0.979288i \(-0.435102\pi\)
0.625492 0.780231i \(-0.284898\pi\)
\(140\) −9.56408 3.31551i −0.808312 0.280212i
\(141\) −9.33963 + 1.17987i −0.786538 + 0.0993629i
\(142\) −0.601426 + 9.55939i −0.0504705 + 0.802206i
\(143\) 2.61396 8.04494i 0.218590 0.672752i
\(144\) 0.535827 + 0.844328i 0.0446522 + 0.0703607i
\(145\) −14.7422 5.11059i −1.22428 0.424411i
\(146\) 8.50349 + 2.18332i 0.703753 + 0.180693i
\(147\) 0.847223 + 13.4662i 0.0698778 + 1.11068i
\(148\) 1.45789 + 7.64254i 0.119838 + 0.628213i
\(149\) 2.47878 + 7.62889i 0.203069 + 0.624983i 0.999787 + 0.0206314i \(0.00656766\pi\)
−0.796718 + 0.604351i \(0.793432\pi\)
\(150\) −1.95052 4.60386i −0.159259 0.375903i
\(151\) 2.79240 8.59412i 0.227242 0.699379i −0.770814 0.637060i \(-0.780150\pi\)
0.998056 0.0623192i \(-0.0198497\pi\)
\(152\) −1.27974 0.161668i −0.103800 0.0131130i
\(153\) 4.89880 1.93957i 0.396044 0.156805i
\(154\) 6.24363 2.47203i 0.503126 0.199202i
\(155\) −7.67663 + 7.86117i −0.616602 + 0.631424i
\(156\) 0.358058 5.69117i 0.0286676 0.455658i
\(157\) −1.50243 1.09158i −0.119907 0.0871178i 0.526215 0.850351i \(-0.323611\pi\)
−0.646123 + 0.763234i \(0.723611\pi\)
\(158\) −10.6403 + 2.73198i −0.846501 + 0.217344i
\(159\) 7.01860 6.59090i 0.556611 0.522692i
\(160\) 0.513665 + 2.17627i 0.0406088 + 0.172049i
\(161\) −26.7922 + 14.7291i −2.11152 + 1.16082i
\(162\) 0.992115 0.125333i 0.0779479 0.00984711i
\(163\) 2.04128 10.7008i 0.159886 0.838150i −0.808463 0.588547i \(-0.799700\pi\)
0.968348 0.249603i \(-0.0803000\pi\)
\(164\) 1.40287 + 0.177224i 0.109546 + 0.0138389i
\(165\) 2.97312 + 1.47067i 0.231457 + 0.114492i
\(166\) 0.473227 2.48074i 0.0367295 0.192543i
\(167\) −1.99155 3.13818i −0.154111 0.242840i 0.758496 0.651677i \(-0.225934\pi\)
−0.912607 + 0.408837i \(0.865934\pi\)
\(168\) 3.66234 2.66085i 0.282556 0.205289i
\(169\) −12.4410 + 15.0386i −0.957001 + 1.15682i
\(170\) 11.7703 0.509883i 0.902743 0.0391062i
\(171\) −0.691167 + 1.08911i −0.0528549 + 0.0832860i
\(172\) 7.73738 + 9.35289i 0.589970 + 0.713151i
\(173\) −4.79644 + 10.1930i −0.364667 + 0.774956i 0.635330 + 0.772241i \(0.280864\pi\)
−0.999996 + 0.00271500i \(0.999136\pi\)
\(174\) 5.64519 4.10147i 0.427961 0.310932i
\(175\) −20.2457 + 10.1210i −1.53043 + 0.765076i
\(176\) −1.20009 0.871919i −0.0904604 0.0657233i
\(177\) 4.85940 2.67148i 0.365255 0.200801i
\(178\) 9.26785 + 2.37958i 0.694655 + 0.178357i
\(179\) −5.40792 6.53706i −0.404207 0.488603i 0.528655 0.848837i \(-0.322697\pi\)
−0.932862 + 0.360234i \(0.882697\pi\)
\(180\) 2.18786 + 0.461833i 0.163073 + 0.0344230i
\(181\) −10.6240 4.20632i −0.789672 0.312653i −0.0615529 0.998104i \(-0.519605\pi\)
−0.728119 + 0.685451i \(0.759605\pi\)
\(182\) −25.8143 −1.91348
\(183\) −12.1917 4.82702i −0.901233 0.356823i
\(184\) 5.91844 + 3.25369i 0.436313 + 0.239865i
\(185\) 14.5042 + 9.60721i 1.06637 + 0.706336i
\(186\) −0.920760 4.82679i −0.0675134 0.353918i
\(187\) −5.69740 + 5.35022i −0.416635 + 0.391247i
\(188\) 6.86241 6.44423i 0.500492 0.469994i
\(189\) −0.848257 4.44672i −0.0617016 0.323451i
\(190\) −2.25791 + 1.79476i −0.163806 + 0.130206i
\(191\) −3.19928 1.75882i −0.231492 0.127264i 0.361787 0.932261i \(-0.382167\pi\)
−0.593279 + 0.804997i \(0.702167\pi\)
\(192\) −0.929776 0.368125i −0.0671008 0.0265671i
\(193\) 20.1637 1.45142 0.725708 0.688003i \(-0.241512\pi\)
0.725708 + 0.688003i \(0.241512\pi\)
\(194\) −8.90604 3.52615i −0.639417 0.253163i
\(195\) −8.54539 9.46385i −0.611948 0.677721i
\(196\) −8.60067 10.3964i −0.614333 0.742601i
\(197\) −5.90195 1.51536i −0.420496 0.107965i 0.0325121 0.999471i \(-0.489649\pi\)
−0.453008 + 0.891506i \(0.649649\pi\)
\(198\) −1.29991 + 0.714632i −0.0923806 + 0.0507867i
\(199\) −9.74624 7.08106i −0.690893 0.501963i 0.186061 0.982538i \(-0.440428\pi\)
−0.876953 + 0.480575i \(0.840428\pi\)
\(200\) 4.28408 + 2.57811i 0.302930 + 0.182300i
\(201\) 4.36982 3.17486i 0.308223 0.223937i
\(202\) 4.82331 10.2501i 0.339367 0.721191i
\(203\) −20.1350 24.3390i −1.41320 1.70826i
\(204\) −2.82316 + 4.44859i −0.197661 + 0.311463i
\(205\) 2.47516 1.96746i 0.172873 0.137413i
\(206\) 6.40370 7.74074i 0.446167 0.539323i
\(207\) 5.46398 3.96981i 0.379773 0.275921i
\(208\) 3.05551 + 4.81472i 0.211862 + 0.333840i
\(209\) 0.358544 1.87955i 0.0248010 0.130011i
\(210\) 1.46466 10.0159i 0.101071 0.691165i
\(211\) −6.76008 0.853997i −0.465383 0.0587916i −0.110854 0.993837i \(-0.535359\pi\)
−0.354529 + 0.935045i \(0.615359\pi\)
\(212\) −1.80413 + 9.45758i −0.123908 + 0.649549i
\(213\) −9.50276 + 1.20048i −0.651118 + 0.0822554i
\(214\) −11.0406 + 6.06960i −0.754717 + 0.414909i
\(215\) 27.0505 + 2.23324i 1.84483 + 0.152306i
\(216\) −0.728969 + 0.684547i −0.0496000 + 0.0465775i
\(217\) −21.5456 + 5.53197i −1.46261 + 0.375534i
\(218\) 5.34221 + 3.88134i 0.361820 + 0.262877i
\(219\) −0.551257 + 8.76198i −0.0372505 + 0.592080i
\(220\) −3.26974 + 0.557760i −0.220446 + 0.0376042i
\(221\) 27.9350 11.0603i 1.87911 0.743993i
\(222\) −7.23398 + 2.86414i −0.485513 + 0.192228i
\(223\) 2.39276 + 0.302275i 0.160231 + 0.0202419i 0.205039 0.978754i \(-0.434268\pi\)
−0.0448085 + 0.998996i \(0.514268\pi\)
\(224\) −1.39889 + 4.30534i −0.0934673 + 0.287663i
\(225\) 4.15682 2.77864i 0.277121 0.185243i
\(226\) −2.60883 8.02917i −0.173537 0.534092i
\(227\) −0.774604 4.06061i −0.0514122 0.269512i 0.947294 0.320366i \(-0.103806\pi\)
−0.998706 + 0.0508535i \(0.983806\pi\)
\(228\) −0.0809940 1.28736i −0.00536396 0.0852577i
\(229\) −26.8790 6.90136i −1.77622 0.456055i −0.788861 0.614572i \(-0.789329\pi\)
−0.987356 + 0.158517i \(0.949329\pi\)
\(230\) 14.4514 4.38528i 0.952894 0.289157i
\(231\) 3.59818 + 5.66982i 0.236743 + 0.373047i
\(232\) −2.15627 + 6.63632i −0.141566 + 0.435696i
\(233\) 0.109908 1.74693i 0.00720029 0.114445i −0.992785 0.119910i \(-0.961739\pi\)
0.999985 + 0.00546457i \(0.00173943\pi\)
\(234\) 5.65746 0.714703i 0.369840 0.0467216i
\(235\) 0.411283 21.0460i 0.0268291 1.37289i
\(236\) −2.36108 + 5.01756i −0.153693 + 0.326615i
\(237\) −4.67739 9.93996i −0.303829 0.645670i
\(238\) 20.9011 + 11.4905i 1.35481 + 0.744815i
\(239\) 13.1262 + 12.3263i 0.849063 + 0.797323i 0.981015 0.193933i \(-0.0621244\pi\)
−0.131952 + 0.991256i \(0.542124\pi\)
\(240\) −2.04147 + 0.912359i −0.131776 + 0.0588925i
\(241\) 1.92760 + 4.09635i 0.124167 + 0.263869i 0.957240 0.289294i \(-0.0934206\pi\)
−0.833073 + 0.553163i \(0.813421\pi\)
\(242\) −5.60903 + 6.78016i −0.360562 + 0.435845i
\(243\) 0.309017 + 0.951057i 0.0198234 + 0.0610103i
\(244\) 12.7005 3.26094i 0.813067 0.208760i
\(245\) −30.0686 2.48241i −1.92101 0.158596i
\(246\) 0.0887873 + 1.41123i 0.00566087 + 0.0899770i
\(247\) −3.94133 + 6.21054i −0.250781 + 0.395167i
\(248\) 3.58203 + 3.36375i 0.227459 + 0.213598i
\(249\) 2.52547 0.160045
\(250\) 10.8173 2.82604i 0.684145 0.178734i
\(251\) 3.06463 0.193437 0.0967187 0.995312i \(-0.469165\pi\)
0.0967187 + 0.995312i \(0.469165\pi\)
\(252\) 3.29997 + 3.09888i 0.207879 + 0.195211i
\(253\) −5.36825 + 8.45902i −0.337499 + 0.531814i
\(254\) −0.180334 2.86632i −0.0113152 0.179849i
\(255\) 2.70639 + 11.4663i 0.169481 + 0.718048i
\(256\) 0.968583 0.248690i 0.0605364 0.0155431i
\(257\) −0.588614 1.81157i −0.0367168 0.113003i 0.931018 0.364972i \(-0.118922\pi\)
−0.967735 + 0.251970i \(0.918922\pi\)
\(258\) −7.73738 + 9.35289i −0.481708 + 0.582285i
\(259\) 14.9963 + 31.8688i 0.931826 + 1.98023i
\(260\) 12.4761 + 2.63357i 0.773734 + 0.163327i
\(261\) 5.08663 + 4.77666i 0.314854 + 0.295668i
\(262\) −8.82165 4.84974i −0.545003 0.299618i
\(263\) −1.07146 2.27697i −0.0660691 0.140404i 0.869065 0.494698i \(-0.164721\pi\)
−0.935134 + 0.354294i \(0.884721\pi\)
\(264\) 0.631600 1.34222i 0.0388723 0.0826078i
\(265\) 12.3118 + 17.6614i 0.756307 + 1.08493i
\(266\) −5.79324 + 0.731857i −0.355207 + 0.0448730i
\(267\) −0.600809 + 9.54958i −0.0367689 + 0.584425i
\(268\) −1.66912 + 5.13703i −0.101958 + 0.313794i
\(269\) −14.7382 23.2236i −0.898601 1.41597i −0.909353 0.416026i \(-0.863422\pi\)
0.0107515 0.999942i \(-0.496578\pi\)
\(270\) −0.0436891 + 2.23564i −0.00265883 + 0.136057i
\(271\) −2.42830 0.623482i −0.147509 0.0378738i 0.174213 0.984708i \(-0.444262\pi\)
−0.321722 + 0.946834i \(0.604262\pi\)
\(272\) −0.330830 5.25839i −0.0200595 0.318837i
\(273\) −4.83712 25.3571i −0.292756 1.53468i
\(274\) −1.23975 3.81556i −0.0748960 0.230506i
\(275\) −4.21585 + 6.10231i −0.254225 + 0.367983i
\(276\) −2.08705 + 6.42329i −0.125626 + 0.386637i
\(277\) −29.4499 3.72038i −1.76947 0.223536i −0.828023 0.560694i \(-0.810534\pi\)
−0.941448 + 0.337158i \(0.890534\pi\)
\(278\) −21.3164 + 8.43977i −1.27847 + 0.506183i
\(279\) 4.56876 1.80890i 0.273525 0.108296i
\(280\) 4.70229 + 8.96397i 0.281016 + 0.535700i
\(281\) 1.68378 26.7629i 0.100446 1.59654i −0.548796 0.835956i \(-0.684914\pi\)
0.649242 0.760582i \(-0.275086\pi\)
\(282\) 7.61597 + 5.53333i 0.453524 + 0.329505i
\(283\) −18.9672 + 4.86996i −1.12749 + 0.289489i −0.765969 0.642877i \(-0.777741\pi\)
−0.361516 + 0.932366i \(0.617741\pi\)
\(284\) 6.98227 6.55679i 0.414321 0.389074i
\(285\) −2.18606 1.88161i −0.129491 0.111457i
\(286\) −7.41264 + 4.07513i −0.438319 + 0.240968i
\(287\) 6.35068 0.802277i 0.374869 0.0473569i
\(288\) 0.187381 0.982287i 0.0110415 0.0578818i
\(289\) −10.6753 1.34860i −0.627959 0.0793297i
\(290\) 7.24819 + 13.8172i 0.425628 + 0.811374i
\(291\) 1.79487 9.40903i 0.105217 0.551567i
\(292\) −4.70419 7.41261i −0.275292 0.433790i
\(293\) 18.3689 13.3458i 1.07312 0.779670i 0.0966528 0.995318i \(-0.469186\pi\)
0.976471 + 0.215648i \(0.0691864\pi\)
\(294\) 8.60067 10.3964i 0.501601 0.606331i
\(295\) 4.33851 + 11.6160i 0.252598 + 0.676307i
\(296\) 4.16892 6.56916i 0.242313 0.381825i
\(297\) −0.945553 1.14298i −0.0548665 0.0663222i
\(298\) 3.41538 7.25806i 0.197848 0.420448i
\(299\) 31.1579 22.6376i 1.80191 1.30916i
\(300\) −1.72969 + 4.69129i −0.0998637 + 0.270852i
\(301\) 44.4554 + 32.2987i 2.56237 + 1.86167i
\(302\) −7.91865 + 4.35331i −0.455667 + 0.250505i
\(303\) 10.9723 + 2.81721i 0.630342 + 0.161844i
\(304\) 0.822219 + 0.993891i 0.0471575 + 0.0570036i
\(305\) 14.6245 25.4127i 0.837396 1.45513i
\(306\) −4.89880 1.93957i −0.280046 0.110878i
\(307\) 8.71027 0.497121 0.248561 0.968616i \(-0.420043\pi\)
0.248561 + 0.968616i \(0.420043\pi\)
\(308\) −6.24363 2.47203i −0.355764 0.140857i
\(309\) 8.80356 + 4.83980i 0.500817 + 0.275327i
\(310\) 10.9774 0.475532i 0.623472 0.0270084i
\(311\) 5.02197 + 26.3261i 0.284770 + 1.49281i 0.780949 + 0.624595i \(0.214736\pi\)
−0.496179 + 0.868220i \(0.665264\pi\)
\(312\) −4.15689 + 3.90358i −0.235337 + 0.220997i
\(313\) −10.0114 + 9.40135i −0.565879 + 0.531396i −0.913819 0.406121i \(-0.866881\pi\)
0.347940 + 0.937517i \(0.386881\pi\)
\(314\) 0.347988 + 1.82422i 0.0196381 + 0.102947i
\(315\) 10.1130 0.438087i 0.569802 0.0246834i
\(316\) 9.62665 + 5.29229i 0.541541 + 0.297715i
\(317\) −25.9570 10.2771i −1.45789 0.577221i −0.500430 0.865777i \(-0.666825\pi\)
−0.957463 + 0.288556i \(0.906825\pi\)
\(318\) −9.62812 −0.539918
\(319\) −9.62403 3.81042i −0.538842 0.213343i
\(320\) 1.11531 1.93806i 0.0623479 0.108341i
\(321\) −8.03088 9.70767i −0.448240 0.541829i
\(322\) 29.6135 + 7.60345i 1.65029 + 0.423724i
\(323\) 5.95561 3.27412i 0.331379 0.182177i
\(324\) −0.809017 0.587785i −0.0449454 0.0326547i
\(325\) 23.7039 15.8450i 1.31486 0.878923i
\(326\) −8.81322 + 6.40318i −0.488119 + 0.354639i
\(327\) −2.81156 + 5.97487i −0.155480 + 0.330411i
\(328\) −0.901333 1.08952i −0.0497678 0.0601589i
\(329\) 22.8346 35.9816i 1.25891 1.98373i
\(330\) −1.16057 3.10731i −0.0638873 0.171052i
\(331\) 3.57521 4.32168i 0.196511 0.237541i −0.663049 0.748576i \(-0.730738\pi\)
0.859560 + 0.511035i \(0.170738\pi\)
\(332\) −2.04315 + 1.48444i −0.112133 + 0.0814690i
\(333\) −4.16892 6.56916i −0.228455 0.359988i
\(334\) −0.696455 + 3.65094i −0.0381083 + 0.199771i
\(335\) 5.61066 + 10.6956i 0.306543 + 0.584363i
\(336\) −4.49121 0.567371i −0.245015 0.0309526i
\(337\) 3.28717 17.2319i 0.179063 0.938683i −0.773374 0.633950i \(-0.781433\pi\)
0.952438 0.304733i \(-0.0985674\pi\)
\(338\) 19.3637 2.44621i 1.05325 0.133056i
\(339\) 7.39810 4.06714i 0.401810 0.220897i
\(340\) −8.92924 7.68566i −0.484256 0.416813i
\(341\) −5.31357 + 4.98977i −0.287746 + 0.270211i
\(342\) 1.24938 0.320787i 0.0675589 0.0173462i
\(343\) −23.7790 17.2765i −1.28395 0.932842i
\(344\) 0.762184 12.1146i 0.0410942 0.653173i
\(345\) 7.01552 + 13.3737i 0.377703 + 0.720014i
\(346\) 10.4740 4.14695i 0.563086 0.222942i
\(347\) 7.14491 2.82887i 0.383559 0.151862i −0.168429 0.985714i \(-0.553869\pi\)
0.551988 + 0.833852i \(0.313869\pi\)
\(348\) −6.92282 0.874556i −0.371102 0.0468811i
\(349\) −5.56830 + 17.1375i −0.298064 + 0.917348i 0.684110 + 0.729378i \(0.260191\pi\)
−0.982175 + 0.187970i \(0.939809\pi\)
\(350\) 21.6868 + 6.48121i 1.15921 + 0.346435i
\(351\) 1.76215 + 5.42333i 0.0940564 + 0.289476i
\(352\) 0.277961 + 1.45712i 0.0148154 + 0.0776648i
\(353\) 0.374178 + 5.94740i 0.0199155 + 0.316548i 0.995354 + 0.0962781i \(0.0306938\pi\)
−0.975439 + 0.220270i \(0.929306\pi\)
\(354\) −5.37111 1.37907i −0.285471 0.0732965i
\(355\) 0.418466 21.4136i 0.0222099 1.13652i
\(356\) −5.12704 8.07892i −0.271732 0.428182i
\(357\) −7.37046 + 22.6839i −0.390086 + 1.20056i
\(358\) −0.532717 + 8.46729i −0.0281549 + 0.447510i
\(359\) 0.856084 0.108149i 0.0451824 0.00570786i −0.102710 0.994711i \(-0.532751\pi\)
0.147892 + 0.989004i \(0.452751\pi\)
\(360\) −1.27873 1.83435i −0.0673951 0.0966788i
\(361\) 7.38137 15.6862i 0.388493 0.825590i
\(362\) 4.86510 + 10.3389i 0.255704 + 0.543399i
\(363\) −7.71109 4.23921i −0.404727 0.222501i
\(364\) 18.8178 + 17.6711i 0.986322 + 0.926218i
\(365\) −19.2078 4.05457i −1.00538 0.212226i
\(366\) 5.58301 + 11.8645i 0.291829 + 0.620168i
\(367\) 4.88974 5.91068i 0.255242 0.308535i −0.627291 0.778785i \(-0.715836\pi\)
0.882533 + 0.470250i \(0.155836\pi\)
\(368\) −2.08705 6.42329i −0.108795 0.334837i
\(369\) −1.36960 + 0.351654i −0.0712985 + 0.0183064i
\(370\) −3.99649 16.9321i −0.207768 0.880260i
\(371\) 2.73676 + 43.4996i 0.142085 + 2.25838i
\(372\) −2.63296 + 4.14888i −0.136513 + 0.215110i
\(373\) 19.6104 + 18.4154i 1.01539 + 0.953512i 0.998925 0.0463523i \(-0.0147597\pi\)
0.0164622 + 0.999864i \(0.494760\pi\)
\(374\) 7.81571 0.404140
\(375\) 4.80294 + 10.0961i 0.248023 + 0.521362i
\(376\) −9.41386 −0.485483
\(377\) 29.0061 + 27.2386i 1.49389 + 1.40286i
\(378\) −2.42564 + 3.82219i −0.124761 + 0.196592i
\(379\) 1.14743 + 18.2379i 0.0589396 + 0.936818i 0.910748 + 0.412964i \(0.135506\pi\)
−0.851808 + 0.523854i \(0.824494\pi\)
\(380\) 2.87454 + 0.237317i 0.147461 + 0.0121741i
\(381\) 2.78176 0.714235i 0.142514 0.0365914i
\(382\) 1.12818 + 3.47218i 0.0577228 + 0.177652i
\(383\) 5.19411 6.27860i 0.265407 0.320822i −0.620927 0.783868i \(-0.713244\pi\)
0.886334 + 0.463047i \(0.153244\pi\)
\(384\) 0.425779 + 0.904827i 0.0217280 + 0.0461743i
\(385\) −13.7089 + 6.12666i −0.698668 + 0.312244i
\(386\) −14.6987 13.8030i −0.748145 0.702555i
\(387\) −10.6371 5.84777i −0.540712 0.297259i
\(388\) 4.07841 + 8.66706i 0.207050 + 0.440003i
\(389\) −0.0318028 + 0.0675844i −0.00161247 + 0.00342667i −0.905632 0.424065i \(-0.860603\pi\)
0.904019 + 0.427492i \(0.140603\pi\)
\(390\) −0.249134 + 12.7486i −0.0126154 + 0.645549i
\(391\) −35.3040 + 4.45994i −1.78540 + 0.225549i
\(392\) −0.847223 + 13.4662i −0.0427912 + 0.680147i
\(393\) 3.11083 9.57414i 0.156921 0.482952i
\(394\) 3.26500 + 5.14481i 0.164488 + 0.259192i
\(395\) 23.5059 7.13287i 1.18271 0.358894i
\(396\) 1.43679 + 0.368906i 0.0722016 + 0.0185382i
\(397\) 0.545390 + 8.66873i 0.0273723 + 0.435071i 0.987717 + 0.156255i \(0.0499421\pi\)
−0.960344 + 0.278816i \(0.910058\pi\)
\(398\) 2.25739 + 11.8336i 0.113153 + 0.593166i
\(399\) −1.80444 5.55349i −0.0903350 0.278022i
\(400\) −1.35812 4.81202i −0.0679060 0.240601i
\(401\) −4.12401 + 12.6924i −0.205943 + 0.633827i 0.793730 + 0.608270i \(0.208136\pi\)
−0.999673 + 0.0255576i \(0.991864\pi\)
\(402\) −5.35880 0.676974i −0.267273 0.0337644i
\(403\) 26.0530 10.3151i 1.29779 0.513833i
\(404\) −10.5327 + 4.17019i −0.524021 + 0.207475i
\(405\) −2.20423 + 0.376002i −0.109529 + 0.0186837i
\(406\) −1.98343 + 31.5257i −0.0984359 + 1.56459i
\(407\) 9.33714 + 6.78383i 0.462825 + 0.336262i
\(408\) 5.10326 1.31029i 0.252649 0.0648693i
\(409\) −7.66479 + 7.19771i −0.378999 + 0.355904i −0.850512 0.525955i \(-0.823708\pi\)
0.471513 + 0.881859i \(0.343708\pi\)
\(410\) −3.15113 0.260152i −0.155623 0.0128480i
\(411\) 3.51567 1.93275i 0.173415 0.0953357i
\(412\) −9.96699 + 1.25912i −0.491039 + 0.0620326i
\(413\) −4.70386 + 24.6585i −0.231462 + 1.21337i
\(414\) −6.70059 0.846482i −0.329316 0.0416023i
\(415\) −0.817104 + 5.58770i −0.0401100 + 0.274290i
\(416\) 1.06853 5.60142i 0.0523889 0.274632i
\(417\) −12.2846 19.3574i −0.601578 0.947935i
\(418\) −1.54801 + 1.12470i −0.0757156 + 0.0550106i
\(419\) −6.59837 + 7.97606i −0.322351 + 0.389656i −0.906651 0.421882i \(-0.861370\pi\)
0.584299 + 0.811538i \(0.301370\pi\)
\(420\) −7.92407 + 6.29868i −0.386655 + 0.307344i
\(421\) −12.7865 + 20.1483i −0.623176 + 0.981967i 0.375307 + 0.926901i \(0.377537\pi\)
−0.998483 + 0.0550670i \(0.982463\pi\)
\(422\) 4.34329 + 5.25013i 0.211428 + 0.255572i
\(423\) −4.00823 + 8.51791i −0.194887 + 0.414155i
\(424\) 7.78931 5.65927i 0.378282 0.274838i
\(425\) −26.2453 + 2.27813i −1.27308 + 0.110506i
\(426\) 7.74900 + 5.62998i 0.375440 + 0.272773i
\(427\) 52.0165 28.5963i 2.51726 1.38387i
\(428\) 12.2031 + 3.13323i 0.589861 + 0.151451i
\(429\) −5.39194 6.51774i −0.260325 0.314679i
\(430\) −18.1902 20.1453i −0.877210 0.971493i
\(431\) 15.1814 + 6.01074i 0.731262 + 0.289527i 0.704097 0.710104i \(-0.251352\pi\)
0.0271652 + 0.999631i \(0.491352\pi\)
\(432\) 1.00000 0.0481125
\(433\) 10.1461 + 4.01714i 0.487592 + 0.193051i 0.599040 0.800719i \(-0.295549\pi\)
−0.111448 + 0.993770i \(0.535549\pi\)
\(434\) 19.4929 + 10.7163i 0.935691 + 0.514401i
\(435\) −12.2143 + 9.70889i −0.585631 + 0.465506i
\(436\) −1.23734 6.48637i −0.0592579 0.310641i
\(437\) 6.35066 5.96367i 0.303793 0.285281i
\(438\) 6.39984 6.00985i 0.305796 0.287162i
\(439\) −4.98833 26.1497i −0.238080 1.24806i −0.877641 0.479318i \(-0.840884\pi\)
0.639561 0.768740i \(-0.279116\pi\)
\(440\) 2.76535 + 1.83170i 0.131833 + 0.0873231i
\(441\) 11.8239 + 6.50023i 0.563042 + 0.309535i
\(442\) −27.9350 11.0603i −1.32873 0.526083i
\(443\) −34.3996 −1.63437 −0.817187 0.576372i \(-0.804468\pi\)
−0.817187 + 0.576372i \(0.804468\pi\)
\(444\) 7.23398 + 2.86414i 0.343310 + 0.135926i
\(445\) −20.9344 4.41903i −0.992386 0.209482i
\(446\) −1.53732 1.85830i −0.0727943 0.0879932i
\(447\) 7.76948 + 1.99486i 0.367484 + 0.0943538i
\(448\) 3.96696 2.18085i 0.187421 0.103036i
\(449\) −14.2269 10.3364i −0.671407 0.487806i 0.199089 0.979981i \(-0.436202\pi\)
−0.870496 + 0.492176i \(0.836202\pi\)
\(450\) −4.93230 0.819994i −0.232511 0.0386549i
\(451\) 1.69696 1.23291i 0.0799068 0.0580557i
\(452\) −3.59458 + 7.63888i −0.169075 + 0.359303i
\(453\) −5.76001 6.96266i −0.270629 0.327134i
\(454\) −2.21502 + 3.49031i −0.103956 + 0.163808i
\(455\) 57.6685 2.49816i 2.70354 0.117116i
\(456\) −0.822219 + 0.993891i −0.0385039 + 0.0465432i
\(457\) 9.33843 6.78476i 0.436833 0.317378i −0.347542 0.937664i \(-0.612984\pi\)
0.784375 + 0.620287i \(0.212984\pi\)
\(458\) 14.8697 + 23.4308i 0.694814 + 1.09485i
\(459\) 0.987273 5.17547i 0.0460820 0.241570i
\(460\) −13.5365 6.69591i −0.631143 0.312198i
\(461\) 13.0094 + 1.64347i 0.605908 + 0.0765440i 0.422301 0.906456i \(-0.361223\pi\)
0.183607 + 0.983000i \(0.441223\pi\)
\(462\) 1.25830 6.59625i 0.0585415 0.306885i
\(463\) 18.1067 2.28741i 0.841491 0.106305i 0.307241 0.951632i \(-0.400594\pi\)
0.534250 + 0.845327i \(0.320594\pi\)
\(464\) 6.11473 3.36160i 0.283869 0.156058i
\(465\) 2.52406 + 10.6938i 0.117051 + 0.495914i
\(466\) −1.27598 + 1.19822i −0.0591085 + 0.0555065i
\(467\) 7.55717 1.94035i 0.349704 0.0897887i −0.0697520 0.997564i \(-0.522221\pi\)
0.419456 + 0.907776i \(0.362221\pi\)
\(468\) −4.61336 3.35180i −0.213253 0.154937i
\(469\) −1.53533 + 24.4033i −0.0708948 + 1.12684i
\(470\) −14.7068 + 15.0603i −0.678374 + 0.694681i
\(471\) −1.72670 + 0.683648i −0.0795621 + 0.0315009i
\(472\) 5.15591 2.04137i 0.237320 0.0939617i
\(473\) 17.8642 + 2.25678i 0.821399 + 0.103767i
\(474\) −3.39470 + 10.4478i −0.155924 + 0.479884i
\(475\) 4.87042 4.22796i 0.223470 0.193992i
\(476\) −7.37046 22.6839i −0.337824 1.03972i
\(477\) −1.80413 9.45758i −0.0826054 0.433033i
\(478\) −1.13064 17.9710i −0.0517142 0.821974i
\(479\) 11.0355 + 2.83344i 0.504225 + 0.129463i 0.492230 0.870465i \(-0.336182\pi\)
0.0119950 + 0.999928i \(0.496182\pi\)
\(480\) 2.11272 + 0.732402i 0.0964321 + 0.0334294i
\(481\) −23.7729 37.4602i −1.08395 1.70804i
\(482\) 1.39899 4.30564i 0.0637221 0.196117i
\(483\) −1.91976 + 30.5137i −0.0873520 + 1.38842i
\(484\) 8.73015 1.10287i 0.396825 0.0501306i
\(485\) 20.2371 + 7.01545i 0.918919 + 0.318555i
\(486\) 0.425779 0.904827i 0.0193137 0.0410438i
\(487\) 6.97071 + 14.8135i 0.315873 + 0.671265i 0.998212 0.0597712i \(-0.0190371\pi\)
−0.682339 + 0.731036i \(0.739037\pi\)
\(488\) −11.4905 6.31697i −0.520152 0.285956i
\(489\) −7.94120 7.45728i −0.359113 0.337230i
\(490\) 20.2198 + 22.3930i 0.913436 + 1.01161i
\(491\) 2.92867 + 6.22374i 0.132169 + 0.280874i 0.959947 0.280183i \(-0.0903951\pi\)
−0.827778 + 0.561056i \(0.810395\pi\)
\(492\) 0.901333 1.08952i 0.0406352 0.0491196i
\(493\) −11.3609 34.9654i −0.511671 1.57476i
\(494\) 7.12451 1.82926i 0.320547 0.0823025i
\(495\) 2.83481 1.72227i 0.127415 0.0774101i
\(496\) −0.308542 4.90413i −0.0138539 0.220202i
\(497\) 23.2334 36.6100i 1.04216 1.64218i
\(498\) −1.84099 1.72881i −0.0824968 0.0774697i
\(499\) 37.4211 1.67520 0.837599 0.546286i \(-0.183959\pi\)
0.837599 + 0.546286i \(0.183959\pi\)
\(500\) −9.82001 5.34484i −0.439164 0.239029i
\(501\) −3.71678 −0.166053
\(502\) −2.23402 2.09788i −0.0997090 0.0936330i
\(503\) 18.7384 29.5270i 0.835505 1.31655i −0.110988 0.993822i \(-0.535402\pi\)
0.946493 0.322724i \(-0.104598\pi\)
\(504\) −0.284247 4.51797i −0.0126613 0.201246i
\(505\) −9.78320 + 23.3651i −0.435347 + 1.03973i
\(506\) 9.70388 2.49153i 0.431390 0.110762i
\(507\) 6.03128 + 18.5624i 0.267859 + 0.824384i
\(508\) −1.83068 + 2.21291i −0.0812231 + 0.0981819i
\(509\) 10.0334 + 21.3220i 0.444721 + 0.945081i 0.993994 + 0.109437i \(0.0349049\pi\)
−0.549272 + 0.835643i \(0.685095\pi\)
\(510\) 5.87635 10.2112i 0.260209 0.452161i
\(511\) −28.9714 27.2060i −1.28162 1.20352i
\(512\) −0.876307 0.481754i −0.0387276 0.0212907i
\(513\) 0.549216 + 1.16714i 0.0242485 + 0.0515307i
\(514\) −0.811023 + 1.72351i −0.0357727 + 0.0760208i
\(515\) −13.5566 + 17.9123i −0.597374 + 0.789311i
\(516\) 12.0428 1.52136i 0.530155 0.0669741i
\(517\) 0.876837 13.9369i 0.0385633 0.612945i
\(518\) 10.8838 33.4970i 0.478209 1.47178i
\(519\) 6.03614 + 9.51143i 0.264957 + 0.417505i
\(520\) −7.29187 10.4602i −0.319770 0.458712i
\(521\) −25.4141 6.52522i −1.11341 0.285875i −0.353197 0.935549i \(-0.614905\pi\)
−0.760213 + 0.649674i \(0.774905\pi\)
\(522\) −0.438142 6.96407i −0.0191770 0.304809i
\(523\) 1.70707 + 8.94877i 0.0746449 + 0.391302i 0.999928 + 0.0120243i \(0.00382755\pi\)
−0.925283 + 0.379278i \(0.876172\pi\)
\(524\) 3.11083 + 9.57414i 0.135897 + 0.418248i
\(525\) −2.30272 + 22.5171i −0.100499 + 0.982726i
\(526\) −0.777632 + 2.39331i −0.0339064 + 0.104353i
\(527\) −25.6858 3.24487i −1.11889 0.141349i
\(528\) −1.37923 + 0.546075i −0.0600232 + 0.0237648i
\(529\) −21.0264 + 8.32495i −0.914192 + 0.361954i
\(530\) 3.11513 21.3026i 0.135312 0.925324i
\(531\) 0.348194 5.53438i 0.0151103 0.240172i
\(532\) 4.72408 + 3.43225i 0.204815 + 0.148807i
\(533\) −7.81004 + 2.00528i −0.338290 + 0.0868582i
\(534\) 6.97511 6.55006i 0.301842 0.283449i
\(535\) 24.0769 14.6278i 1.04094 0.632413i
\(536\) 4.73328 2.60214i 0.204446 0.112395i
\(537\) −8.41713 + 1.06333i −0.363226 + 0.0458861i
\(538\) −5.15401 + 27.0182i −0.222205 + 1.16484i
\(539\) −19.8574 2.50858i −0.855320 0.108052i
\(540\) 1.56225 1.59981i 0.0672285 0.0688446i
\(541\) 3.44905 18.0806i 0.148286 0.777344i −0.827978 0.560761i \(-0.810509\pi\)
0.976264 0.216583i \(-0.0694912\pi\)
\(542\) 1.34335 + 2.11679i 0.0577020 + 0.0909238i
\(543\) −9.24411 + 6.71624i −0.396703 + 0.288221i
\(544\) −3.35845 + 4.05967i −0.143993 + 0.174057i
\(545\) −12.3100 8.15382i −0.527301 0.349271i
\(546\) −13.8320 + 21.7958i −0.591955 + 0.932772i
\(547\) −8.50577 10.2817i −0.363681 0.439614i 0.556655 0.830744i \(-0.312084\pi\)
−0.920336 + 0.391129i \(0.872084\pi\)
\(548\) −1.70819 + 3.63009i −0.0729703 + 0.155070i
\(549\) −10.6082 + 7.70731i −0.452747 + 0.328940i
\(550\) 7.25054 1.56245i 0.309164 0.0666230i
\(551\) 7.28178 + 5.29052i 0.310214 + 0.225384i
\(552\) 5.91844 3.25369i 0.251906 0.138486i
\(553\) 48.1678 + 12.3674i 2.04830 + 0.525915i
\(554\) 18.9212 + 22.8719i 0.803887 + 0.971732i
\(555\) 15.8833 7.09847i 0.674211 0.301313i
\(556\) 21.3164 + 8.43977i 0.904017 + 0.357926i
\(557\) −23.5865 −0.999391 −0.499695 0.866201i \(-0.666555\pi\)
−0.499695 + 0.866201i \(0.666555\pi\)
\(558\) −4.56876 1.80890i −0.193411 0.0765769i
\(559\) −60.6570 33.3465i −2.56552 1.41041i
\(560\) 2.70844 9.75339i 0.114452 0.412156i
\(561\) 1.46452 + 7.67727i 0.0618320 + 0.324134i
\(562\) −19.5479 + 18.3567i −0.824577 + 0.774329i
\(563\) −0.770248 + 0.723311i −0.0324621 + 0.0304839i −0.700608 0.713546i \(-0.747088\pi\)
0.668146 + 0.744030i \(0.267088\pi\)
\(564\) −1.76398 9.24711i −0.0742770 0.389374i
\(565\) 6.60508 + 17.6845i 0.277878 + 0.743991i
\(566\) 17.1602 + 9.43392i 0.721298 + 0.396537i
\(567\) −4.20901 1.66646i −0.176762 0.0699849i
\(568\) −9.57829 −0.401896
\(569\) −24.6923 9.77638i −1.03516 0.409847i −0.211764 0.977321i \(-0.567921\pi\)
−0.823391 + 0.567474i \(0.807921\pi\)
\(570\) 0.305522 + 2.86810i 0.0127969 + 0.120131i
\(571\) −1.76415 2.13250i −0.0738276 0.0892422i 0.732306 0.680975i \(-0.238444\pi\)
−0.806134 + 0.591733i \(0.798444\pi\)
\(572\) 8.19320 + 2.10366i 0.342575 + 0.0879583i
\(573\) −3.19928 + 1.75882i −0.133652 + 0.0734758i
\(574\) −5.17864 3.76250i −0.216152 0.157044i
\(575\) −31.8596 + 11.1951i −1.32864 + 0.466868i
\(576\) −0.809017 + 0.587785i −0.0337090 + 0.0244911i
\(577\) 8.12975 17.2766i 0.338446 0.719234i −0.661071 0.750324i \(-0.729898\pi\)
0.999517 + 0.0310893i \(0.00989761\pi\)
\(578\) 6.85878 + 8.29084i 0.285288 + 0.344853i
\(579\) 10.8043 17.0248i 0.449010 0.707526i
\(580\) 4.17483 15.0340i 0.173350 0.624254i
\(581\) −7.28740 + 8.80895i −0.302332 + 0.365457i
\(582\) −7.74932 + 5.63021i −0.321220 + 0.233380i
\(583\) 7.65285 + 12.0590i 0.316949 + 0.499431i
\(584\) −1.64508 + 8.62380i −0.0680738 + 0.356855i
\(585\) −12.5694 + 2.14412i −0.519683 + 0.0886486i
\(586\) −22.5262 2.84572i −0.930549 0.117556i
\(587\) 7.82238 41.0064i 0.322864 1.69251i −0.337304 0.941396i \(-0.609515\pi\)
0.660168 0.751118i \(-0.270485\pi\)
\(588\) −13.3865 + 1.69110i −0.552048 + 0.0697399i
\(589\) 5.55437 3.05354i 0.228864 0.125819i
\(590\) 4.78903 11.4376i 0.197161 0.470878i
\(591\) −4.44188 + 4.17121i −0.182715 + 0.171581i
\(592\) −7.53591 + 1.93489i −0.309724 + 0.0795236i
\(593\) −5.77199 4.19360i −0.237027 0.172210i 0.462931 0.886395i \(-0.346798\pi\)
−0.699958 + 0.714184i \(0.746798\pi\)
\(594\) −0.0931432 + 1.48047i −0.00382171 + 0.0607444i
\(595\) −47.8044 23.6467i −1.95979 0.969419i
\(596\) −7.45819 + 2.95291i −0.305499 + 0.120956i
\(597\) −11.2010 + 4.43480i −0.458428 + 0.181504i
\(598\) −38.2096 4.82700i −1.56251 0.197391i
\(599\) 3.95206 12.1632i 0.161477 0.496975i −0.837282 0.546771i \(-0.815857\pi\)
0.998759 + 0.0497956i \(0.0158570\pi\)
\(600\) 4.47230 2.23575i 0.182581 0.0912740i
\(601\) 1.95689 + 6.02270i 0.0798233 + 0.245671i 0.983002 0.183593i \(-0.0587729\pi\)
−0.903179 + 0.429264i \(0.858773\pi\)
\(602\) −10.2966 53.9766i −0.419657 2.19992i
\(603\) −0.339156 5.39073i −0.0138115 0.219528i
\(604\) 8.75249 + 2.24726i 0.356134 + 0.0914396i
\(605\) 11.8743 15.6895i 0.482758 0.637869i
\(606\) −6.06995 9.56471i −0.246575 0.388540i
\(607\) −9.88140 + 30.4118i −0.401074 + 1.23438i 0.523056 + 0.852298i \(0.324792\pi\)
−0.924130 + 0.382079i \(0.875208\pi\)
\(608\) 0.0809940 1.28736i 0.00328474 0.0522095i
\(609\) −31.3389 + 3.95903i −1.26992 + 0.160428i
\(610\) −28.0570 + 8.51392i −1.13600 + 0.344719i
\(611\) −22.8566 + 48.5727i −0.924679 + 1.96504i
\(612\) 2.24334 + 4.76734i 0.0906817 + 0.192708i
\(613\) 7.17639 + 3.94525i 0.289852 + 0.159347i 0.620045 0.784566i \(-0.287114\pi\)
−0.330194 + 0.943913i \(0.607114\pi\)
\(614\) −6.34951 5.96259i −0.256245 0.240630i
\(615\) −0.334920 3.14407i −0.0135053 0.126781i
\(616\) 2.85919 + 6.07609i 0.115200 + 0.244813i
\(617\) −6.42210 + 7.76298i −0.258544 + 0.312526i −0.883773 0.467915i \(-0.845005\pi\)
0.625230 + 0.780441i \(0.285005\pi\)
\(618\) −3.10445 9.55451i −0.124879 0.384339i
\(619\) −29.3271 + 7.52993i −1.17876 + 0.302653i −0.786728 0.617300i \(-0.788227\pi\)
−0.392029 + 0.919953i \(0.628227\pi\)
\(620\) −8.32768 7.16788i −0.334448 0.287869i
\(621\) −0.424078 6.74052i −0.0170177 0.270488i
\(622\) 14.3606 22.6287i 0.575807 0.907327i
\(623\) −31.5756 29.6515i −1.26505 1.18796i
\(624\) 5.70242 0.228280
\(625\) −23.8920 + 7.36012i −0.955681 + 0.294405i
\(626\) 13.7337 0.548908
\(627\) −1.39484 1.30984i −0.0557046 0.0523101i
\(628\) 0.995090 1.56801i 0.0397084 0.0625705i
\(629\) 2.57397 + 40.9121i 0.102631 + 1.63127i
\(630\) −7.67194 6.60346i −0.305657 0.263088i
\(631\) 3.16762 0.813308i 0.126101 0.0323773i −0.185112 0.982717i \(-0.559265\pi\)
0.311213 + 0.950340i \(0.399265\pi\)
\(632\) −3.39470 10.4478i −0.135034 0.415592i
\(633\) −4.34329 + 5.25013i −0.172630 + 0.208674i
\(634\) 11.8867 + 25.2605i 0.472081 + 1.00322i
\(635\) 0.680247 + 6.38584i 0.0269948 + 0.253414i
\(636\) 7.01860 + 6.59090i 0.278305 + 0.261346i
\(637\) 67.4247 + 37.0671i 2.67147 + 1.46865i
\(638\) 4.40720 + 9.36578i 0.174483 + 0.370795i
\(639\) −4.07824 + 8.66669i −0.161333 + 0.342849i
\(640\) −2.13972 + 0.649300i −0.0845799 + 0.0256658i
\(641\) 23.6443 2.98697i 0.933895 0.117978i 0.356364 0.934347i \(-0.384016\pi\)
0.577531 + 0.816369i \(0.304016\pi\)
\(642\) −0.791095 + 12.5741i −0.0312220 + 0.496260i
\(643\) 0.513594 1.58068i 0.0202542 0.0623359i −0.940419 0.340019i \(-0.889567\pi\)
0.960673 + 0.277683i \(0.0895665\pi\)
\(644\) −16.3824 25.8145i −0.645556 1.01723i
\(645\) 16.3800 21.6429i 0.644961 0.852187i
\(646\) −6.58274 1.69016i −0.258994 0.0664985i
\(647\) −0.230664 3.66629i −0.00906833 0.144137i −0.999955 0.00944185i \(-0.996995\pi\)
0.990887 0.134695i \(-0.0430055\pi\)
\(648\) 0.187381 + 0.982287i 0.00736103 + 0.0385879i
\(649\) 2.54195 + 7.82331i 0.0997802 + 0.307092i
\(650\) −28.1261 4.67595i −1.10320 0.183406i
\(651\) −6.87391 + 21.1557i −0.269410 + 0.829158i
\(652\) 10.8078 + 1.36535i 0.423268 + 0.0534712i
\(653\) −14.7050 + 5.82212i −0.575451 + 0.227837i −0.637780 0.770219i \(-0.720147\pi\)
0.0623292 + 0.998056i \(0.480147\pi\)
\(654\) 6.13962 2.43085i 0.240078 0.0950537i
\(655\) 20.1767 + 9.98049i 0.788367 + 0.389970i
\(656\) −0.0887873 + 1.41123i −0.00346656 + 0.0550994i
\(657\) 7.10261 + 5.16035i 0.277099 + 0.201324i
\(658\) −41.2768 + 10.5981i −1.60914 + 0.413156i
\(659\) 21.0282 19.7468i 0.819144 0.769227i −0.156712 0.987644i \(-0.550089\pi\)
0.975856 + 0.218417i \(0.0700893\pi\)
\(660\) −1.28108 + 3.05960i −0.0498661 + 0.119095i
\(661\) 25.2382 13.8748i 0.981654 0.539669i 0.0917330 0.995784i \(-0.470759\pi\)
0.889921 + 0.456115i \(0.150759\pi\)
\(662\) −5.56461 + 0.702974i −0.216275 + 0.0273218i
\(663\) 5.62985 29.5127i 0.218645 1.14618i
\(664\) 2.50556 + 0.316526i 0.0972346 + 0.0122836i
\(665\) 12.8711 2.19559i 0.499121 0.0851412i
\(666\) −1.45789 + 7.64254i −0.0564922 + 0.296142i
\(667\) −25.2521 39.7909i −0.977764 1.54071i
\(668\) 3.00694 2.18467i 0.116342 0.0845273i
\(669\) 1.53732 1.85830i 0.0594363 0.0718462i
\(670\) 3.23164 11.6375i 0.124849 0.449596i
\(671\) 10.4224 16.4230i 0.402350 0.634003i
\(672\) 2.88556 + 3.48804i 0.111313 + 0.134554i
\(673\) −12.0798 + 25.6708i −0.465640 + 0.989536i 0.524753 + 0.851255i \(0.324158\pi\)
−0.990393 + 0.138281i \(0.955842\pi\)
\(674\) −14.1923 + 10.3113i −0.546667 + 0.397177i
\(675\) −0.118752 4.99859i −0.00457077 0.192396i
\(676\) −15.7901 11.4722i −0.607312 0.441238i
\(677\) 31.2308 17.1693i 1.20030 0.659869i 0.249107 0.968476i \(-0.419863\pi\)
0.951190 + 0.308607i \(0.0998628\pi\)
\(678\) −8.17713 2.09953i −0.314041 0.0806320i
\(679\) 27.6399 + 33.4108i 1.06072 + 1.28219i
\(680\) 1.24794 + 11.7151i 0.0478564 + 0.449253i
\(681\) −3.84354 1.52177i −0.147285 0.0583142i
\(682\) 7.28916 0.279116
\(683\) −43.0702 17.0527i −1.64803 0.652503i −0.653501 0.756926i \(-0.726701\pi\)
−0.994533 + 0.104423i \(0.966701\pi\)
\(684\) −1.13036 0.621418i −0.0432202 0.0237605i
\(685\) 3.13881 + 8.40387i 0.119928 + 0.321096i
\(686\) 5.50760 + 28.8719i 0.210281 + 1.10233i
\(687\) −20.2295 + 18.9968i −0.771804 + 0.724773i
\(688\) −8.84860 + 8.30938i −0.337350 + 0.316792i
\(689\) −10.2879 53.9311i −0.391938 2.05461i
\(690\) 4.04081 14.5514i 0.153831 0.553964i
\(691\) 34.4273 + 18.9266i 1.30968 + 0.720001i 0.974973 0.222323i \(-0.0713638\pi\)
0.334704 + 0.942323i \(0.391364\pi\)
\(692\) −10.4740 4.14695i −0.398162 0.157644i
\(693\) 6.71519 0.255089
\(694\) −7.14491 2.82887i −0.271217 0.107382i
\(695\) 46.8035 20.9171i 1.77536 0.793430i
\(696\) 4.44784 + 5.37652i 0.168595 + 0.203796i
\(697\) 7.21614 + 1.85279i 0.273331 + 0.0701794i
\(698\) 15.7905 8.68092i 0.597680 0.328578i
\(699\) −1.41609 1.02885i −0.0535615 0.0389147i
\(700\) −11.3723 19.5702i −0.429831 0.739684i
\(701\) −11.2396 + 8.16602i −0.424513 + 0.308426i −0.779451 0.626463i \(-0.784502\pi\)
0.354938 + 0.934890i \(0.384502\pi\)
\(702\) 2.42797 5.15971i 0.0916380 0.194741i
\(703\) −6.39715 7.73282i −0.241273 0.291649i
\(704\) 0.794844 1.25247i 0.0299568 0.0472044i
\(705\) −17.5494 11.6243i −0.660947 0.437795i
\(706\) 3.79851 4.59161i 0.142959 0.172807i
\(707\) −41.4877 + 30.1426i −1.56031 + 1.13363i
\(708\) 2.97133 + 4.68207i 0.111670 + 0.175963i
\(709\) −2.10726 + 11.0467i −0.0791399 + 0.414866i 0.920565 + 0.390589i \(0.127728\pi\)
−0.999705 + 0.0242774i \(0.992272\pi\)
\(710\) −14.9637 + 15.3234i −0.561577 + 0.575077i
\(711\) −10.8989 1.37685i −0.408739 0.0516357i
\(712\) −1.79295 + 9.39898i −0.0671937 + 0.352242i
\(713\) −32.9256 + 4.15947i −1.23307 + 0.155773i
\(714\) 20.9011 11.4905i 0.782202 0.430019i
\(715\) 16.1653 9.82109i 0.604547 0.367288i
\(716\) 6.18459 5.80772i 0.231129 0.217045i
\(717\) 17.4408 4.47804i 0.651339 0.167236i
\(718\) −0.698091 0.507193i −0.0260525 0.0189283i
\(719\) −2.61650 + 41.5881i −0.0975791 + 1.55098i 0.579443 + 0.815013i \(0.303270\pi\)
−0.677022 + 0.735963i \(0.736730\pi\)
\(720\) −0.323545 + 2.21254i −0.0120578 + 0.0824564i
\(721\) −42.2846 + 16.7416i −1.57476 + 0.623492i
\(722\) −16.1187 + 6.38186i −0.599877 + 0.237508i
\(723\) 4.49152 + 0.567411i 0.167041 + 0.0211022i
\(724\) 3.53094 10.8671i 0.131226 0.403873i
\(725\) −17.5294 30.1658i −0.651026 1.12033i
\(726\) 2.71921 + 8.36885i 0.100919 + 0.310597i
\(727\) 5.20194 + 27.2695i 0.192929 + 1.01137i 0.938587 + 0.345042i \(0.112135\pi\)
−0.745658 + 0.666329i \(0.767865\pi\)
\(728\) −1.62089 25.7634i −0.0600743 0.954854i
\(729\) 0.968583 + 0.248690i 0.0358735 + 0.00921074i
\(730\) 11.2264 + 16.1043i 0.415507 + 0.596048i
\(731\) 34.2690 + 53.9992i 1.26748 + 1.99723i
\(732\) 4.05197 12.4707i 0.149765 0.460930i
\(733\) −0.495690 + 7.87876i −0.0183087 + 0.291009i 0.978209 + 0.207624i \(0.0665730\pi\)
−0.996517 + 0.0833847i \(0.973427\pi\)
\(734\) −7.61060 + 0.961443i −0.280912 + 0.0354875i
\(735\) −18.2075 + 24.0576i −0.671596 + 0.887379i
\(736\) −2.87565 + 6.11107i −0.105998 + 0.225257i
\(737\) 3.41152 + 7.24984i 0.125665 + 0.267051i
\(738\) 1.23912 + 0.681212i 0.0456126 + 0.0250757i
\(739\) 11.6550 + 10.9448i 0.428736 + 0.402610i 0.868647 0.495431i \(-0.164990\pi\)
−0.439911 + 0.898041i \(0.644990\pi\)
\(740\) −8.67752 + 15.0788i −0.318992 + 0.554307i
\(741\) 3.13186 + 6.65555i 0.115052 + 0.244498i
\(742\) 27.7825 33.5833i 1.01993 1.23288i
\(743\) 3.53626 + 10.8835i 0.129733 + 0.399276i 0.994734 0.102494i \(-0.0326823\pi\)
−0.865001 + 0.501770i \(0.832682\pi\)
\(744\) 4.75945 1.22202i 0.174490 0.0448014i
\(745\) −6.92748 + 16.5448i −0.253803 + 0.606155i
\(746\) −1.68916 26.8485i −0.0618446 0.982992i
\(747\) 1.35322 2.13233i 0.0495116 0.0780178i
\(748\) −5.69740 5.35022i −0.208318 0.195623i
\(749\) 57.0343 2.08399
\(750\) 3.41009 10.6476i 0.124519 0.388795i
\(751\) −2.09025 −0.0762745 −0.0381372 0.999273i \(-0.512142\pi\)
−0.0381372 + 0.999273i \(0.512142\pi\)
\(752\) 6.86241 + 6.44423i 0.250246 + 0.234997i
\(753\) 1.64211 2.58755i 0.0598418 0.0942955i
\(754\) −2.49847 39.7121i −0.0909891 1.44623i
\(755\) 17.2688 10.4915i 0.628474 0.381825i
\(756\) 4.38468 1.12579i 0.159469 0.0409448i
\(757\) −5.09922 15.6938i −0.185334 0.570400i 0.814620 0.579995i \(-0.196946\pi\)
−0.999954 + 0.00959538i \(0.996946\pi\)
\(758\) 11.6483 14.0803i 0.423084 0.511420i
\(759\) 4.26573 + 9.06513i 0.154836 + 0.329044i
\(760\) −1.93300 2.14076i −0.0701172 0.0776534i
\(761\) 2.10913 + 1.98061i 0.0764561 + 0.0717970i 0.721833 0.692067i \(-0.243300\pi\)
−0.645377 + 0.763864i \(0.723300\pi\)
\(762\) −2.51675 1.38359i −0.0911721 0.0501223i
\(763\) −12.7277 27.0477i −0.460772 0.979191i
\(764\) 1.55446 3.30341i 0.0562386 0.119513i
\(765\) 11.1315 + 3.85887i 0.402460 + 0.139518i
\(766\) −8.08435 + 1.02129i −0.292099 + 0.0369007i
\(767\) 1.98555 31.5594i 0.0716940 1.13954i
\(768\) 0.309017 0.951057i 0.0111507 0.0343183i
\(769\) 16.8500 + 26.5514i 0.607628 + 0.957468i 0.999302 + 0.0373641i \(0.0118961\pi\)
−0.391674 + 0.920104i \(0.628104\pi\)
\(770\) 14.1873 + 4.91822i 0.511276 + 0.177240i
\(771\) −1.84495 0.473704i −0.0664444 0.0170600i
\(772\) 1.26609 + 20.1239i 0.0455676 + 0.724276i
\(773\) 2.65302 +