Properties

Label 168.2.v.a.107.7
Level $168$
Weight $2$
Character 168.107
Analytic conductor $1.341$
Analytic rank $0$
Dimension $56$
CM no
Inner twists $8$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 168 = 2^{3} \cdot 3 \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 168.v (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.34148675396\)
Analytic rank: \(0\)
Dimension: \(56\)
Relative dimension: \(28\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 107.7
Character \(\chi\) \(=\) 168.107
Dual form 168.2.v.a.11.7

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.982844 + 1.01687i) q^{2} +(-0.987527 + 1.42295i) q^{3} +(-0.0680365 - 1.99884i) q^{4} +(1.77783 - 3.07929i) q^{5} +(-0.476367 - 2.40272i) q^{6} +(0.793456 - 2.52397i) q^{7} +(2.09943 + 1.89537i) q^{8} +(-1.04958 - 2.81041i) q^{9} +O(q^{10})\) \(q+(-0.982844 + 1.01687i) q^{2} +(-0.987527 + 1.42295i) q^{3} +(-0.0680365 - 1.99884i) q^{4} +(1.77783 - 3.07929i) q^{5} +(-0.476367 - 2.40272i) q^{6} +(0.793456 - 2.52397i) q^{7} +(2.09943 + 1.89537i) q^{8} +(-1.04958 - 2.81041i) q^{9} +(1.38390 + 4.83428i) q^{10} +(-0.396703 + 0.229036i) q^{11} +(2.91144 + 1.87710i) q^{12} +0.799063i q^{13} +(1.78670 + 3.28751i) q^{14} +(2.62603 + 5.57065i) q^{15} +(-3.99074 + 0.271989i) q^{16} +(5.48456 - 3.16651i) q^{17} +(3.88938 + 1.69491i) q^{18} +(-2.61696 + 4.53272i) q^{19} +(-6.27598 - 3.34410i) q^{20} +(2.80793 + 3.62154i) q^{21} +(0.156997 - 0.628501i) q^{22} +(1.55053 - 2.68559i) q^{23} +(-4.77025 + 1.11565i) q^{24} +(-3.82137 - 6.61880i) q^{25} +(-0.812540 - 0.785354i) q^{26} +(5.03556 + 1.28185i) q^{27} +(-5.09900 - 1.41427i) q^{28} -2.60340 q^{29} +(-8.24559 - 2.80476i) q^{30} +(4.42520 - 2.55489i) q^{31} +(3.64570 - 4.32538i) q^{32} +(0.0658472 - 0.790668i) q^{33} +(-2.17055 + 8.68926i) q^{34} +(-6.36142 - 6.93048i) q^{35} +(-5.54615 + 2.28915i) q^{36} +(-2.89424 - 1.67099i) q^{37} +(-2.03710 - 7.11606i) q^{38} +(-1.13703 - 0.789096i) q^{39} +(9.56881 - 3.09511i) q^{40} +10.1452i q^{41} +(-6.44238 - 0.704118i) q^{42} +3.56359 q^{43} +(0.484798 + 0.777363i) q^{44} +(-10.5200 - 1.76446i) q^{45} +(1.20696 + 4.21620i) q^{46} +(-2.15923 + 3.73989i) q^{47} +(3.55394 - 5.94723i) q^{48} +(-5.74086 - 4.00532i) q^{49} +(10.4862 + 2.61943i) q^{50} +(-0.910362 + 10.9313i) q^{51} +(1.59720 - 0.0543654i) q^{52} +(1.16913 + 2.02499i) q^{53} +(-6.25264 + 3.86063i) q^{54} +1.62875i q^{55} +(6.44965 - 3.79500i) q^{56} +(-3.86551 - 8.19999i) q^{57} +(2.55874 - 2.64731i) q^{58} +(-1.49741 + 0.864528i) q^{59} +(10.9562 - 5.62802i) q^{60} +(4.60841 + 2.66067i) q^{61} +(-1.75130 + 7.01090i) q^{62} +(-7.92618 + 0.419175i) q^{63} +(0.815178 + 7.95836i) q^{64} +(2.46055 + 1.42060i) q^{65} +(0.739287 + 0.844061i) q^{66} +(0.00979145 + 0.0169593i) q^{67} +(-6.70251 - 10.7473i) q^{68} +(2.29028 + 4.85842i) q^{69} +(13.2997 + 0.342860i) q^{70} -9.04022 q^{71} +(3.12323 - 7.88958i) q^{72} +(4.15674 + 7.19969i) q^{73} +(4.54376 - 1.30074i) q^{74} +(13.1919 + 1.09863i) q^{75} +(9.23823 + 4.92251i) q^{76} +(0.263315 + 1.18300i) q^{77} +(1.91993 - 0.380647i) q^{78} +(-10.8825 - 6.28304i) q^{79} +(-6.25733 + 12.7722i) q^{80} +(-6.79677 + 5.89949i) q^{81} +(-10.3163 - 9.97112i) q^{82} +0.694004i q^{83} +(7.04784 - 5.85900i) q^{84} -22.5181i q^{85} +(-3.50245 + 3.62369i) q^{86} +(2.57093 - 3.70452i) q^{87} +(-1.26696 - 0.271052i) q^{88} +(7.02189 + 4.05409i) q^{89} +(12.1338 - 8.96329i) q^{90} +(2.01681 + 0.634021i) q^{91} +(-5.47357 - 2.91654i) q^{92} +(-0.734523 + 8.81987i) q^{93} +(-1.68079 - 5.87138i) q^{94} +(9.30504 + 16.1168i) q^{95} +(2.55457 + 9.45908i) q^{96} +7.05333 q^{97} +(9.71524 - 1.90109i) q^{98} +(1.06006 + 0.874504i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 56 q - 2 q^{3} - 2 q^{4} - 8 q^{6} - 2 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 56 q - 2 q^{3} - 2 q^{4} - 8 q^{6} - 2 q^{9} + 6 q^{10} + 10 q^{12} - 10 q^{16} - 10 q^{18} - 4 q^{19} - 20 q^{22} - 8 q^{24} - 16 q^{25} - 8 q^{27} - 22 q^{28} - 12 q^{30} - 14 q^{33} - 56 q^{34} + 4 q^{36} + 14 q^{40} - 8 q^{42} - 16 q^{43} - 12 q^{46} + 64 q^{48} - 16 q^{49} - 34 q^{51} - 8 q^{52} + 32 q^{54} + 4 q^{57} - 18 q^{58} + 40 q^{60} + 4 q^{64} - 20 q^{66} - 36 q^{67} - 42 q^{70} + 22 q^{72} + 4 q^{73} + 104 q^{76} + 28 q^{78} - 10 q^{81} + 52 q^{82} + 4 q^{84} + 46 q^{88} + 140 q^{90} + 72 q^{91} - 46 q^{96} - 32 q^{97} - 44 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/168\mathbb{Z}\right)^\times\).

\(n\) \(73\) \(85\) \(113\) \(127\)
\(\chi(n)\) \(e\left(\frac{1}{3}\right)\) \(-1\) \(-1\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.982844 + 1.01687i −0.694975 + 0.719033i
\(3\) −0.987527 + 1.42295i −0.570149 + 0.821541i
\(4\) −0.0680365 1.99884i −0.0340183 0.999421i
\(5\) 1.77783 3.07929i 0.795070 1.37710i −0.127724 0.991810i \(-0.540767\pi\)
0.922795 0.385292i \(-0.125899\pi\)
\(6\) −0.476367 2.40272i −0.194476 0.980907i
\(7\) 0.793456 2.52397i 0.299898 0.953971i
\(8\) 2.09943 + 1.89537i 0.742259 + 0.670113i
\(9\) −1.04958 2.81041i −0.349860 0.936802i
\(10\) 1.38390 + 4.83428i 0.437628 + 1.52873i
\(11\) −0.396703 + 0.229036i −0.119610 + 0.0690571i −0.558612 0.829429i \(-0.688666\pi\)
0.439001 + 0.898486i \(0.355332\pi\)
\(12\) 2.91144 + 1.87710i 0.840461 + 0.541872i
\(13\) 0.799063i 0.221620i 0.993842 + 0.110810i \(0.0353445\pi\)
−0.993842 + 0.110810i \(0.964655\pi\)
\(14\) 1.78670 + 3.28751i 0.477516 + 0.878623i
\(15\) 2.62603 + 5.57065i 0.678037 + 1.43834i
\(16\) −3.99074 + 0.271989i −0.997686 + 0.0679971i
\(17\) 5.48456 3.16651i 1.33020 0.767993i 0.344872 0.938650i \(-0.387922\pi\)
0.985330 + 0.170657i \(0.0545891\pi\)
\(18\) 3.88938 + 1.69491i 0.916736 + 0.399494i
\(19\) −2.61696 + 4.53272i −0.600373 + 1.03988i 0.392392 + 0.919798i \(0.371648\pi\)
−0.992764 + 0.120078i \(0.961686\pi\)
\(20\) −6.27598 3.34410i −1.40335 0.747763i
\(21\) 2.80793 + 3.62154i 0.612740 + 0.790285i
\(22\) 0.156997 0.628501i 0.0334719 0.133997i
\(23\) 1.55053 2.68559i 0.323307 0.559985i −0.657861 0.753139i \(-0.728539\pi\)
0.981168 + 0.193155i \(0.0618719\pi\)
\(24\) −4.77025 + 1.11565i −0.973724 + 0.227732i
\(25\) −3.82137 6.61880i −0.764273 1.32376i
\(26\) −0.812540 0.785354i −0.159352 0.154021i
\(27\) 5.03556 + 1.28185i 0.969094 + 0.246693i
\(28\) −5.09900 1.41427i −0.963621 0.267272i
\(29\) −2.60340 −0.483440 −0.241720 0.970346i \(-0.577712\pi\)
−0.241720 + 0.970346i \(0.577712\pi\)
\(30\) −8.24559 2.80476i −1.50543 0.512077i
\(31\) 4.42520 2.55489i 0.794790 0.458872i −0.0468563 0.998902i \(-0.514920\pi\)
0.841646 + 0.540030i \(0.181587\pi\)
\(32\) 3.64570 4.32538i 0.644475 0.764626i
\(33\) 0.0658472 0.790668i 0.0114625 0.137638i
\(34\) −2.17055 + 8.68926i −0.372245 + 1.49020i
\(35\) −6.36142 6.93048i −1.07528 1.17146i
\(36\) −5.54615 + 2.28915i −0.924358 + 0.381526i
\(37\) −2.89424 1.67099i −0.475810 0.274709i 0.242859 0.970062i \(-0.421915\pi\)
−0.718669 + 0.695352i \(0.755248\pi\)
\(38\) −2.03710 7.11606i −0.330461 1.15438i
\(39\) −1.13703 0.789096i −0.182070 0.126357i
\(40\) 9.56881 3.09511i 1.51296 0.489380i
\(41\) 10.1452i 1.58441i 0.610256 + 0.792205i \(0.291067\pi\)
−0.610256 + 0.792205i \(0.708933\pi\)
\(42\) −6.44238 0.704118i −0.994080 0.108648i
\(43\) 3.56359 0.543442 0.271721 0.962376i \(-0.412407\pi\)
0.271721 + 0.962376i \(0.412407\pi\)
\(44\) 0.484798 + 0.777363i 0.0730860 + 0.117192i
\(45\) −10.5200 1.76446i −1.56824 0.263031i
\(46\) 1.20696 + 4.21620i 0.177957 + 0.621644i
\(47\) −2.15923 + 3.73989i −0.314956 + 0.545519i −0.979428 0.201794i \(-0.935323\pi\)
0.664472 + 0.747313i \(0.268656\pi\)
\(48\) 3.55394 5.94723i 0.512967 0.858408i
\(49\) −5.74086 4.00532i −0.820122 0.572188i
\(50\) 10.4862 + 2.61943i 1.48298 + 0.370443i
\(51\) −0.910362 + 10.9313i −0.127476 + 1.53069i
\(52\) 1.59720 0.0543654i 0.221492 0.00753913i
\(53\) 1.16913 + 2.02499i 0.160592 + 0.278154i 0.935081 0.354433i \(-0.115326\pi\)
−0.774489 + 0.632587i \(0.781993\pi\)
\(54\) −6.25264 + 3.86063i −0.850877 + 0.525365i
\(55\) 1.62875i 0.219621i
\(56\) 6.44965 3.79500i 0.861871 0.507128i
\(57\) −3.86551 8.19999i −0.511999 1.08612i
\(58\) 2.55874 2.64731i 0.335979 0.347609i
\(59\) −1.49741 + 0.864528i −0.194946 + 0.112552i −0.594296 0.804247i \(-0.702569\pi\)
0.399350 + 0.916798i \(0.369236\pi\)
\(60\) 10.9562 5.62802i 1.41444 0.726575i
\(61\) 4.60841 + 2.66067i 0.590047 + 0.340664i 0.765116 0.643892i \(-0.222682\pi\)
−0.175069 + 0.984556i \(0.556015\pi\)
\(62\) −1.75130 + 7.01090i −0.222415 + 0.890385i
\(63\) −7.92618 + 0.419175i −0.998605 + 0.0528111i
\(64\) 0.815178 + 7.95836i 0.101897 + 0.994795i
\(65\) 2.46055 + 1.42060i 0.305193 + 0.176204i
\(66\) 0.739287 + 0.844061i 0.0909999 + 0.103897i
\(67\) 0.00979145 + 0.0169593i 0.00119622 + 0.00207191i 0.866623 0.498964i \(-0.166286\pi\)
−0.865427 + 0.501036i \(0.832953\pi\)
\(68\) −6.70251 10.7473i −0.812799 1.30331i
\(69\) 2.29028 + 4.85842i 0.275717 + 0.584885i
\(70\) 13.2997 + 0.342860i 1.58961 + 0.0409796i
\(71\) −9.04022 −1.07288 −0.536439 0.843939i \(-0.680231\pi\)
−0.536439 + 0.843939i \(0.680231\pi\)
\(72\) 3.12323 7.88958i 0.368077 0.929795i
\(73\) 4.15674 + 7.19969i 0.486510 + 0.842660i 0.999880 0.0155078i \(-0.00493650\pi\)
−0.513370 + 0.858167i \(0.671603\pi\)
\(74\) 4.54376 1.30074i 0.528202 0.151207i
\(75\) 13.1919 + 1.09863i 1.52327 + 0.126859i
\(76\) 9.23823 + 4.92251i 1.05970 + 0.564651i
\(77\) 0.263315 + 1.18300i 0.0300076 + 0.134815i
\(78\) 1.91993 0.380647i 0.217389 0.0430998i
\(79\) −10.8825 6.28304i −1.22438 0.706897i −0.258533 0.966003i \(-0.583239\pi\)
−0.965849 + 0.259105i \(0.916572\pi\)
\(80\) −6.25733 + 12.7722i −0.699591 + 1.42798i
\(81\) −6.79677 + 5.89949i −0.755196 + 0.655499i
\(82\) −10.3163 9.97112i −1.13924 1.10113i
\(83\) 0.694004i 0.0761768i 0.999274 + 0.0380884i \(0.0121268\pi\)
−0.999274 + 0.0380884i \(0.987873\pi\)
\(84\) 7.04784 5.85900i 0.768983 0.639270i
\(85\) 22.5181i 2.44243i
\(86\) −3.50245 + 3.62369i −0.377679 + 0.390753i
\(87\) 2.57093 3.70452i 0.275633 0.397166i
\(88\) −1.26696 0.271052i −0.135058 0.0288942i
\(89\) 7.02189 + 4.05409i 0.744319 + 0.429733i 0.823638 0.567116i \(-0.191941\pi\)
−0.0793185 + 0.996849i \(0.525274\pi\)
\(90\) 12.1338 8.96329i 1.27901 0.944814i
\(91\) 2.01681 + 0.634021i 0.211419 + 0.0664634i
\(92\) −5.47357 2.91654i −0.570659 0.304070i
\(93\) −0.734523 + 8.81987i −0.0761664 + 0.914578i
\(94\) −1.68079 5.87138i −0.173360 0.605586i
\(95\) 9.30504 + 16.1168i 0.954677 + 1.65355i
\(96\) 2.55457 + 9.45908i 0.260725 + 0.965413i
\(97\) 7.05333 0.716157 0.358078 0.933692i \(-0.383432\pi\)
0.358078 + 0.933692i \(0.383432\pi\)
\(98\) 9.71524 1.90109i 0.981387 0.192039i
\(99\) 1.06006 + 0.874504i 0.106540 + 0.0878909i
\(100\) −12.9699 + 8.08863i −1.29699 + 0.808863i
\(101\) 3.34348 + 5.79108i 0.332689 + 0.576234i 0.983038 0.183402i \(-0.0587108\pi\)
−0.650349 + 0.759635i \(0.725378\pi\)
\(102\) −10.2209 11.6695i −1.01202 1.15545i
\(103\) 5.48751 + 3.16822i 0.540701 + 0.312174i 0.745363 0.666659i \(-0.232276\pi\)
−0.204662 + 0.978833i \(0.565610\pi\)
\(104\) −1.51452 + 1.67757i −0.148510 + 0.164500i
\(105\) 16.1438 2.20795i 1.57547 0.215474i
\(106\) −3.20822 0.801402i −0.311610 0.0778390i
\(107\) −3.09681 1.78795i −0.299380 0.172847i 0.342784 0.939414i \(-0.388630\pi\)
−0.642164 + 0.766567i \(0.721963\pi\)
\(108\) 2.21962 10.1525i 0.213583 0.976925i
\(109\) 0.488061 0.281782i 0.0467478 0.0269899i −0.476444 0.879205i \(-0.658074\pi\)
0.523192 + 0.852215i \(0.324741\pi\)
\(110\) −1.65622 1.60081i −0.157915 0.152631i
\(111\) 5.23588 2.46821i 0.496968 0.234273i
\(112\) −2.47999 + 10.2883i −0.234337 + 0.972156i
\(113\) 1.41462i 0.133076i −0.997784 0.0665381i \(-0.978805\pi\)
0.997784 0.0665381i \(-0.0211954\pi\)
\(114\) 12.1375 + 4.12860i 1.13678 + 0.386679i
\(115\) −5.51315 9.54906i −0.514104 0.890454i
\(116\) 0.177126 + 5.20379i 0.0164458 + 0.483160i
\(117\) 2.24569 0.838680i 0.207614 0.0775360i
\(118\) 0.592606 2.37236i 0.0545538 0.218393i
\(119\) −3.64043 16.3554i −0.333718 1.49929i
\(120\) −5.04527 + 16.6725i −0.460568 + 1.52198i
\(121\) −5.39508 + 9.34456i −0.490462 + 0.849506i
\(122\) −7.23490 + 2.07112i −0.655017 + 0.187511i
\(123\) −14.4361 10.0186i −1.30166 0.903350i
\(124\) −5.40790 8.67145i −0.485644 0.778720i
\(125\) −9.39666 −0.840463
\(126\) 7.36395 8.47185i 0.656033 0.754732i
\(127\) 15.7043i 1.39353i 0.717299 + 0.696766i \(0.245378\pi\)
−0.717299 + 0.696766i \(0.754622\pi\)
\(128\) −8.89378 6.99290i −0.786107 0.618090i
\(129\) −3.51914 + 5.07081i −0.309843 + 0.446460i
\(130\) −3.86289 + 1.10582i −0.338798 + 0.0969872i
\(131\) 1.16617 + 0.673290i 0.101889 + 0.0588256i 0.550079 0.835113i \(-0.314598\pi\)
−0.448190 + 0.893938i \(0.647931\pi\)
\(132\) −1.58490 0.0778238i −0.137948 0.00677370i
\(133\) 9.36400 + 10.2016i 0.811961 + 0.884595i
\(134\) −0.0268688 0.00671173i −0.00232111 0.000579805i
\(135\) 12.8996 13.2270i 1.11022 1.13840i
\(136\) 17.5161 + 3.74739i 1.50200 + 0.321336i
\(137\) −7.79136 + 4.49834i −0.665661 + 0.384320i −0.794431 0.607355i \(-0.792231\pi\)
0.128770 + 0.991675i \(0.458897\pi\)
\(138\) −7.19135 2.44616i −0.612168 0.208231i
\(139\) −16.0176 −1.35859 −0.679296 0.733864i \(-0.737715\pi\)
−0.679296 + 0.733864i \(0.737715\pi\)
\(140\) −13.4201 + 13.1870i −1.13421 + 1.11450i
\(141\) −3.18939 6.76572i −0.268595 0.569777i
\(142\) 8.88513 9.19270i 0.745623 0.771435i
\(143\) −0.183014 0.316990i −0.0153044 0.0265081i
\(144\) 4.95300 + 10.9301i 0.412750 + 0.910844i
\(145\) −4.62841 + 8.01664i −0.384369 + 0.665746i
\(146\) −11.4065 2.84931i −0.944013 0.235811i
\(147\) 11.3686 4.21360i 0.937668 0.347532i
\(148\) −3.14313 + 5.89882i −0.258364 + 0.484880i
\(149\) 3.34348 5.79108i 0.273909 0.474424i −0.695951 0.718090i \(-0.745017\pi\)
0.969859 + 0.243666i \(0.0783501\pi\)
\(150\) −14.0828 + 12.3347i −1.14985 + 1.00712i
\(151\) 3.66278 2.11471i 0.298073 0.172093i −0.343504 0.939151i \(-0.611614\pi\)
0.641577 + 0.767059i \(0.278281\pi\)
\(152\) −14.0853 + 4.55600i −1.14247 + 0.369540i
\(153\) −14.6557 12.0903i −1.18484 0.977446i
\(154\) −1.46175 0.894944i −0.117791 0.0721166i
\(155\) 18.1687i 1.45934i
\(156\) −1.49992 + 2.32642i −0.120090 + 0.186263i
\(157\) −19.9382 + 11.5113i −1.59124 + 0.918702i −0.598144 + 0.801389i \(0.704095\pi\)
−0.993095 + 0.117313i \(0.962572\pi\)
\(158\) 17.0849 4.89085i 1.35920 0.389095i
\(159\) −4.03601 0.336121i −0.320077 0.0266561i
\(160\) −6.83766 18.9160i −0.540565 1.49544i
\(161\) −5.54808 6.04438i −0.437250 0.476364i
\(162\) 0.681165 12.7097i 0.0535174 0.998567i
\(163\) 10.4009 18.0148i 0.814658 1.41103i −0.0949145 0.995485i \(-0.530258\pi\)
0.909573 0.415544i \(-0.136409\pi\)
\(164\) 20.2786 0.690242i 1.58349 0.0538988i
\(165\) −2.31763 1.60844i −0.180428 0.125217i
\(166\) −0.705709 0.682097i −0.0547737 0.0529410i
\(167\) 7.53905 0.583390 0.291695 0.956511i \(-0.405781\pi\)
0.291695 + 0.956511i \(0.405781\pi\)
\(168\) −0.969103 + 12.9252i −0.0747680 + 0.997201i
\(169\) 12.3615 0.950885
\(170\) 22.8979 + 22.1318i 1.75619 + 1.69743i
\(171\) 15.4855 + 2.59729i 1.18420 + 0.198620i
\(172\) −0.242454 7.12305i −0.0184869 0.543127i
\(173\) 7.77603 13.4685i 0.591201 1.02399i −0.402870 0.915257i \(-0.631987\pi\)
0.994071 0.108733i \(-0.0346793\pi\)
\(174\) 1.24017 + 6.25526i 0.0940174 + 0.474210i
\(175\) −19.7377 + 4.39329i −1.49203 + 0.332102i
\(176\) 1.52084 1.02192i 0.114638 0.0770304i
\(177\) 0.248549 2.98448i 0.0186821 0.224327i
\(178\) −11.0239 + 3.15579i −0.826276 + 0.236537i
\(179\) −7.81218 + 4.51037i −0.583910 + 0.337121i −0.762686 0.646769i \(-0.776120\pi\)
0.178776 + 0.983890i \(0.442786\pi\)
\(180\) −2.81114 + 21.1480i −0.209530 + 1.57628i
\(181\) 10.4041i 0.773330i 0.922220 + 0.386665i \(0.126373\pi\)
−0.922220 + 0.386665i \(0.873627\pi\)
\(182\) −2.62692 + 1.42768i −0.194721 + 0.105827i
\(183\) −8.33693 + 3.93006i −0.616284 + 0.290519i
\(184\) 8.34539 2.69938i 0.615231 0.199001i
\(185\) −10.2909 + 5.94148i −0.756605 + 0.436826i
\(186\) −8.24671 9.41547i −0.604678 0.690375i
\(187\) −1.45049 + 2.51233i −0.106071 + 0.183720i
\(188\) 7.62236 + 4.06151i 0.555918 + 0.296216i
\(189\) 7.23085 11.6925i 0.525967 0.850505i
\(190\) −25.5340 6.37831i −1.85243 0.462731i
\(191\) −7.33838 + 12.7104i −0.530986 + 0.919695i 0.468360 + 0.883538i \(0.344845\pi\)
−0.999346 + 0.0361574i \(0.988488\pi\)
\(192\) −12.1294 6.69914i −0.875362 0.483469i
\(193\) 8.06569 + 13.9702i 0.580581 + 1.00560i 0.995411 + 0.0956969i \(0.0305080\pi\)
−0.414829 + 0.909899i \(0.636159\pi\)
\(194\) −6.93232 + 7.17230i −0.497711 + 0.514941i
\(195\) −4.45130 + 2.09836i −0.318764 + 0.150267i
\(196\) −7.61541 + 11.7476i −0.543958 + 0.839113i
\(197\) 21.9480 1.56373 0.781863 0.623450i \(-0.214269\pi\)
0.781863 + 0.623450i \(0.214269\pi\)
\(198\) −1.93112 + 0.218435i −0.137239 + 0.0155235i
\(199\) 13.8171 7.97732i 0.979470 0.565497i 0.0773599 0.997003i \(-0.475351\pi\)
0.902110 + 0.431506i \(0.142018\pi\)
\(200\) 4.52237 21.1386i 0.319780 1.49472i
\(201\) −0.0338016 0.00281501i −0.00238418 0.000198555i
\(202\) −9.17487 2.29185i −0.645542 0.161254i
\(203\) −2.06568 + 6.57091i −0.144983 + 0.461188i
\(204\) 21.9119 + 1.07594i 1.53414 + 0.0753311i
\(205\) 31.2400 + 18.0364i 2.18189 + 1.25972i
\(206\) −8.61503 + 2.46621i −0.600237 + 0.171829i
\(207\) −9.17500 1.53887i −0.637707 0.106959i
\(208\) −0.217336 3.18885i −0.0150695 0.221107i
\(209\) 2.39752i 0.165840i
\(210\) −13.6216 + 18.5862i −0.939983 + 1.28257i
\(211\) 20.9923 1.44517 0.722586 0.691281i \(-0.242953\pi\)
0.722586 + 0.691281i \(0.242953\pi\)
\(212\) 3.96810 2.47468i 0.272530 0.169962i
\(213\) 8.92747 12.8638i 0.611700 0.881413i
\(214\) 4.86179 1.39178i 0.332345 0.0951398i
\(215\) 6.33546 10.9733i 0.432074 0.748375i
\(216\) 8.14220 + 12.2354i 0.554007 + 0.832512i
\(217\) −2.93727 13.1963i −0.199395 0.895821i
\(218\) −0.193153 + 0.773241i −0.0130820 + 0.0523705i
\(219\) −14.3497 1.19505i −0.969663 0.0807539i
\(220\) 3.25562 0.110815i 0.219494 0.00747112i
\(221\) 2.53024 + 4.38251i 0.170203 + 0.294800i
\(222\) −2.63621 + 7.75006i −0.176931 + 0.520150i
\(223\) 7.05072i 0.472151i −0.971735 0.236075i \(-0.924139\pi\)
0.971735 0.236075i \(-0.0758613\pi\)
\(224\) −8.02442 12.6336i −0.536154 0.844120i
\(225\) −14.5907 + 17.6865i −0.972713 + 1.17910i
\(226\) 1.43848 + 1.39035i 0.0956863 + 0.0924847i
\(227\) 17.9681 10.3739i 1.19258 0.688539i 0.233693 0.972310i \(-0.424919\pi\)
0.958892 + 0.283771i \(0.0915856\pi\)
\(228\) −16.1275 + 8.28444i −1.06807 + 0.548650i
\(229\) −19.0453 10.9958i −1.25855 0.726623i −0.285756 0.958302i \(-0.592245\pi\)
−0.972792 + 0.231680i \(0.925578\pi\)
\(230\) 15.1287 + 3.77909i 0.997556 + 0.249186i
\(231\) −1.94338 0.793556i −0.127865 0.0522122i
\(232\) −5.46565 4.93440i −0.358838 0.323959i
\(233\) 15.1401 + 8.74112i 0.991858 + 0.572650i 0.905829 0.423643i \(-0.139249\pi\)
0.0860289 + 0.996293i \(0.472582\pi\)
\(234\) −1.35434 + 3.10786i −0.0885358 + 0.203167i
\(235\) 7.67748 + 13.2978i 0.500824 + 0.867452i
\(236\) 1.82993 + 2.93426i 0.119118 + 0.191004i
\(237\) 19.6873 9.28065i 1.27883 0.602843i
\(238\) 20.2092 + 12.3729i 1.30997 + 0.802018i
\(239\) −6.60546 −0.427271 −0.213636 0.976913i \(-0.568531\pi\)
−0.213636 + 0.976913i \(0.568531\pi\)
\(240\) −11.9950 21.5168i −0.774271 1.38890i
\(241\) −5.27959 9.14453i −0.340089 0.589051i 0.644360 0.764722i \(-0.277124\pi\)
−0.984449 + 0.175671i \(0.943790\pi\)
\(242\) −4.19965 14.6703i −0.269964 0.943044i
\(243\) −1.68269 15.4974i −0.107945 0.994157i
\(244\) 5.00472 9.39251i 0.320394 0.601294i
\(245\) −22.5398 + 10.5570i −1.44002 + 0.674462i
\(246\) 24.3760 4.83282i 1.55416 0.308129i
\(247\) −3.62192 2.09112i −0.230457 0.133055i
\(248\) 14.1328 + 3.02357i 0.897436 + 0.191997i
\(249\) −0.987533 0.685347i −0.0625824 0.0434321i
\(250\) 9.23545 9.55515i 0.584101 0.604321i
\(251\) 6.66647i 0.420784i 0.977617 + 0.210392i \(0.0674741\pi\)
−0.977617 + 0.210392i \(0.932526\pi\)
\(252\) 1.37713 + 15.8147i 0.0867513 + 0.996230i
\(253\) 1.42051i 0.0893066i
\(254\) −15.9692 15.4349i −1.00200 0.968470i
\(255\) 32.0422 + 22.2373i 2.00656 + 1.39255i
\(256\) 15.8520 2.17087i 0.990753 0.135679i
\(257\) −0.887844 0.512597i −0.0553822 0.0319749i 0.472053 0.881570i \(-0.343513\pi\)
−0.527435 + 0.849595i \(0.676846\pi\)
\(258\) −1.69757 8.56231i −0.105686 0.533066i
\(259\) −6.51398 + 5.97912i −0.404759 + 0.371525i
\(260\) 2.67214 5.01490i 0.165719 0.311011i
\(261\) 2.73248 + 7.31662i 0.169136 + 0.452887i
\(262\) −1.83081 + 0.524103i −0.113108 + 0.0323792i
\(263\) −8.60208 14.8992i −0.530427 0.918726i −0.999370 0.0354978i \(-0.988698\pi\)
0.468943 0.883228i \(-0.344635\pi\)
\(264\) 1.63685 1.53514i 0.100741 0.0944816i
\(265\) 8.31406 0.510729
\(266\) −19.5771 0.504690i −1.20035 0.0309445i
\(267\) −12.7031 + 5.98828i −0.777416 + 0.366477i
\(268\) 0.0332328 0.0207254i 0.00203002 0.00126601i
\(269\) −3.92637 6.80068i −0.239395 0.414644i 0.721146 0.692783i \(-0.243616\pi\)
−0.960541 + 0.278139i \(0.910282\pi\)
\(270\) 0.771879 + 26.1173i 0.0469750 + 1.58945i
\(271\) 15.7096 + 9.06993i 0.954289 + 0.550959i 0.894411 0.447247i \(-0.147595\pi\)
0.0598783 + 0.998206i \(0.480929\pi\)
\(272\) −21.0262 + 14.1285i −1.27490 + 0.856665i
\(273\) −2.89384 + 2.24371i −0.175143 + 0.135796i
\(274\) 3.08347 12.3439i 0.186279 0.745725i
\(275\) 3.03189 + 1.75046i 0.182830 + 0.105557i
\(276\) 9.55539 4.90845i 0.575167 0.295454i
\(277\) −19.2898 + 11.1370i −1.15901 + 0.669157i −0.951067 0.308983i \(-0.900011\pi\)
−0.207946 + 0.978140i \(0.566678\pi\)
\(278\) 15.7428 16.2877i 0.944188 0.976873i
\(279\) −11.8249 9.75505i −0.707937 0.584020i
\(280\) −0.219538 26.6072i −0.0131199 1.59009i
\(281\) 17.9109i 1.06847i −0.845335 0.534236i \(-0.820599\pi\)
0.845335 0.534236i \(-0.179401\pi\)
\(282\) 10.0145 + 3.40646i 0.596355 + 0.202852i
\(283\) −2.24283 3.88469i −0.133322 0.230921i 0.791633 0.610997i \(-0.209231\pi\)
−0.924955 + 0.380076i \(0.875898\pi\)
\(284\) 0.615065 + 18.0700i 0.0364974 + 1.07226i
\(285\) −32.1224 2.67517i −1.90277 0.158463i
\(286\) 0.502211 + 0.125451i 0.0296964 + 0.00741805i
\(287\) 25.6061 + 8.04974i 1.51148 + 0.475161i
\(288\) −15.9825 5.70607i −0.941779 0.336234i
\(289\) 11.5536 20.0115i 0.679625 1.17715i
\(290\) −3.60285 12.5856i −0.211567 0.739051i
\(291\) −6.96535 + 10.0365i −0.408316 + 0.588352i
\(292\) 14.1082 8.79851i 0.825622 0.514894i
\(293\) −24.7711 −1.44714 −0.723570 0.690251i \(-0.757500\pi\)
−0.723570 + 0.690251i \(0.757500\pi\)
\(294\) −6.88891 + 15.7017i −0.401769 + 0.915741i
\(295\) 6.14794i 0.357947i
\(296\) −2.90911 8.99377i −0.169088 0.522752i
\(297\) −2.29121 + 0.644812i −0.132950 + 0.0374158i
\(298\) 2.60264 + 9.09160i 0.150767 + 0.526662i
\(299\) 2.14596 + 1.23897i 0.124104 + 0.0716514i
\(300\) 1.29845 26.4433i 0.0749663 1.52671i
\(301\) 2.82755 8.99439i 0.162977 0.518428i
\(302\) −1.44957 + 5.80299i −0.0834131 + 0.333925i
\(303\) −11.5422 0.961239i −0.663082 0.0552217i
\(304\) 9.21078 18.8007i 0.528275 1.07829i
\(305\) 16.3860 9.46044i 0.938257 0.541703i
\(306\) 26.6985 3.01995i 1.52625 0.172639i
\(307\) 7.72188 0.440711 0.220355 0.975420i \(-0.429278\pi\)
0.220355 + 0.975420i \(0.429278\pi\)
\(308\) 2.34671 0.606813i 0.133716 0.0345764i
\(309\) −9.92729 + 4.67976i −0.564744 + 0.266222i
\(310\) 18.4751 + 17.8570i 1.04932 + 1.01421i
\(311\) −10.0093 17.3367i −0.567577 0.983072i −0.996805 0.0798757i \(-0.974548\pi\)
0.429228 0.903196i \(-0.358786\pi\)
\(312\) −0.891478 3.81173i −0.0504700 0.215797i
\(313\) −8.54501 + 14.8004i −0.482993 + 0.836568i −0.999809 0.0195284i \(-0.993784\pi\)
0.516817 + 0.856096i \(0.327117\pi\)
\(314\) 7.89063 31.5883i 0.445294 1.78263i
\(315\) −12.8006 + 25.1523i −0.721234 + 1.41717i
\(316\) −11.8184 + 22.1800i −0.664837 + 1.24772i
\(317\) −7.67062 + 13.2859i −0.430825 + 0.746210i −0.996945 0.0781127i \(-0.975111\pi\)
0.566120 + 0.824323i \(0.308444\pi\)
\(318\) 4.30856 3.77373i 0.241612 0.211620i
\(319\) 1.03278 0.596274i 0.0578244 0.0333849i
\(320\) 25.9554 + 11.6384i 1.45095 + 0.650609i
\(321\) 5.60235 2.64097i 0.312693 0.147405i
\(322\) 11.5992 + 0.299024i 0.646400 + 0.0166639i
\(323\) 33.1466i 1.84433i
\(324\) 12.2546 + 13.1843i 0.680810 + 0.732460i
\(325\) 5.28884 3.05351i 0.293372 0.169378i
\(326\) 8.09625 + 28.2820i 0.448410 + 1.56640i
\(327\) −0.0810115 + 0.972755i −0.00447994 + 0.0537935i
\(328\) −19.2288 + 21.2990i −1.06173 + 1.17604i
\(329\) 7.72613 + 8.41727i 0.425955 + 0.464059i
\(330\) 3.91344 0.775883i 0.215428 0.0427110i
\(331\) −6.86143 + 11.8844i −0.377138 + 0.653223i −0.990645 0.136467i \(-0.956425\pi\)
0.613506 + 0.789690i \(0.289759\pi\)
\(332\) 1.38720 0.0472176i 0.0761327 0.00259140i
\(333\) −1.65843 + 9.88783i −0.0908813 + 0.541850i
\(334\) −7.40971 + 7.66622i −0.405441 + 0.419477i
\(335\) 0.0696302 0.00380430
\(336\) −12.1907 13.6889i −0.665059 0.746791i
\(337\) −15.7338 −0.857074 −0.428537 0.903524i \(-0.640971\pi\)
−0.428537 + 0.903524i \(0.640971\pi\)
\(338\) −12.1494 + 12.5700i −0.660841 + 0.683718i
\(339\) 2.01293 + 1.39698i 0.109328 + 0.0758733i
\(340\) −45.0102 + 1.53205i −2.44102 + 0.0830873i
\(341\) −1.17033 + 2.02706i −0.0633767 + 0.109772i
\(342\) −17.8609 + 13.1939i −0.965807 + 0.713447i
\(343\) −14.6644 + 11.3117i −0.791804 + 0.610775i
\(344\) 7.48149 + 6.75430i 0.403375 + 0.364167i
\(345\) 19.0322 + 1.58501i 1.02466 + 0.0853342i
\(346\) 6.05303 + 21.1446i 0.325413 + 1.13674i
\(347\) 18.5301 10.6984i 0.994748 0.574318i 0.0880576 0.996115i \(-0.471934\pi\)
0.906690 + 0.421798i \(0.138601\pi\)
\(348\) −7.57966 4.88685i −0.406312 0.261962i
\(349\) 15.7266i 0.841826i −0.907101 0.420913i \(-0.861710\pi\)
0.907101 0.420913i \(-0.138290\pi\)
\(350\) 14.9317 24.3886i 0.798134 1.30362i
\(351\) −1.02428 + 4.02373i −0.0546721 + 0.214771i
\(352\) −0.455590 + 2.55089i −0.0242830 + 0.135963i
\(353\) 10.1824 5.87883i 0.541956 0.312898i −0.203915 0.978989i \(-0.565367\pi\)
0.745871 + 0.666090i \(0.232033\pi\)
\(354\) 2.79053 + 3.18602i 0.148315 + 0.169335i
\(355\) −16.0720 + 27.8375i −0.853013 + 1.47746i
\(356\) 7.62574 14.3115i 0.404164 0.758507i
\(357\) 26.8679 + 10.9712i 1.42200 + 0.580658i
\(358\) 3.09171 12.3769i 0.163402 0.654141i
\(359\) −10.2639 + 17.7776i −0.541709 + 0.938268i 0.457097 + 0.889417i \(0.348889\pi\)
−0.998806 + 0.0488509i \(0.984444\pi\)
\(360\) −18.7417 23.6437i −0.987776 1.24613i
\(361\) −4.19701 7.26943i −0.220895 0.382601i
\(362\) −10.5796 10.2256i −0.556050 0.537445i
\(363\) −7.96906 16.9050i −0.418267 0.887280i
\(364\) 1.13009 4.07442i 0.0592328 0.213558i
\(365\) 29.5599 1.54724
\(366\) 4.19755 12.3402i 0.219410 0.645032i
\(367\) −19.9290 + 11.5060i −1.04029 + 0.600609i −0.919914 0.392120i \(-0.871742\pi\)
−0.120372 + 0.992729i \(0.538409\pi\)
\(368\) −5.45730 + 11.1392i −0.284482 + 0.580672i
\(369\) 28.5120 10.6482i 1.48428 0.554321i
\(370\) 4.07270 16.3041i 0.211729 0.847608i
\(371\) 6.03867 1.34411i 0.313512 0.0697826i
\(372\) 17.6795 + 0.868122i 0.916640 + 0.0450100i
\(373\) −21.6640 12.5077i −1.12172 0.647624i −0.179878 0.983689i \(-0.557570\pi\)
−0.941839 + 0.336065i \(0.890904\pi\)
\(374\) −1.12910 3.94419i −0.0583841 0.203949i
\(375\) 9.27946 13.3710i 0.479189 0.690475i
\(376\) −11.6216 + 3.75910i −0.599338 + 0.193861i
\(377\) 2.08028i 0.107140i
\(378\) 4.78293 + 18.8447i 0.246007 + 0.969268i
\(379\) −11.7405 −0.603071 −0.301535 0.953455i \(-0.597499\pi\)
−0.301535 + 0.953455i \(0.597499\pi\)
\(380\) 31.5819 19.6958i 1.62012 1.01038i
\(381\) −22.3464 15.5084i −1.14484 0.794521i
\(382\) −5.71235 19.9545i −0.292269 1.02096i
\(383\) −8.93250 + 15.4715i −0.456430 + 0.790559i −0.998769 0.0496002i \(-0.984205\pi\)
0.542340 + 0.840159i \(0.317539\pi\)
\(384\) 18.7334 5.74974i 0.955985 0.293415i
\(385\) 4.11092 + 1.29234i 0.209512 + 0.0658639i
\(386\) −22.1331 5.52878i −1.12655 0.281407i
\(387\) −3.74027 10.0151i −0.190128 0.509098i
\(388\) −0.479884 14.0985i −0.0243624 0.715742i
\(389\) −12.9460 22.4231i −0.656386 1.13689i −0.981544 0.191235i \(-0.938751\pi\)
0.325158 0.945660i \(-0.394582\pi\)
\(390\) 2.24118 6.58874i 0.113487 0.333634i
\(391\) 19.6391i 0.993190i
\(392\) −4.46096 19.2899i −0.225313 0.974287i
\(393\) −2.10969 + 0.994514i −0.106420 + 0.0501666i
\(394\) −21.5714 + 22.3181i −1.08675 + 1.12437i
\(395\) −38.6946 + 22.3404i −1.94694 + 1.12407i
\(396\) 1.67587 2.17838i 0.0842158 0.109468i
\(397\) 17.5040 + 10.1060i 0.878502 + 0.507203i 0.870164 0.492762i \(-0.164013\pi\)
0.00833784 + 0.999965i \(0.497346\pi\)
\(398\) −5.46820 + 21.8906i −0.274096 + 1.09728i
\(399\) −23.7637 + 3.25010i −1.18967 + 0.162708i
\(400\) 17.0503 + 25.3746i 0.852516 + 1.26873i
\(401\) −32.0937 18.5293i −1.60268 0.925309i −0.990948 0.134247i \(-0.957139\pi\)
−0.611735 0.791063i \(-0.709528\pi\)
\(402\) 0.0360842 0.0316050i 0.00179971 0.00157631i
\(403\) 2.04152 + 3.53601i 0.101695 + 0.176141i
\(404\) 11.3480 7.07709i 0.564583 0.352099i
\(405\) 6.08275 + 31.4175i 0.302255 + 1.56115i
\(406\) −4.65150 8.55871i −0.230850 0.424762i
\(407\) 1.53087 0.0758825
\(408\) −22.6300 + 21.2240i −1.12035 + 1.05074i
\(409\) −14.5304 25.1675i −0.718484 1.24445i −0.961600 0.274453i \(-0.911503\pi\)
0.243117 0.969997i \(-0.421830\pi\)
\(410\) −49.0446 + 14.0399i −2.42214 + 0.693382i
\(411\) 1.29326 15.5290i 0.0637918 0.765987i
\(412\) 5.95942 11.1842i 0.293599 0.551008i
\(413\) 0.993917 + 4.46537i 0.0489075 + 0.219727i
\(414\) 10.5824 7.81729i 0.520098 0.384199i
\(415\) 2.13704 + 1.23382i 0.104903 + 0.0605659i
\(416\) 3.45625 + 2.91314i 0.169456 + 0.142829i
\(417\) 15.8178 22.7922i 0.774600 1.11614i
\(418\) 2.43796 + 2.35639i 0.119244 + 0.115255i
\(419\) 1.27248i 0.0621647i −0.999517 0.0310823i \(-0.990105\pi\)
0.999517 0.0310823i \(-0.00989541\pi\)
\(420\) −5.51171 32.1187i −0.268944 1.56723i
\(421\) 12.1006i 0.589749i −0.955536 0.294875i \(-0.904722\pi\)
0.955536 0.294875i \(-0.0952779\pi\)
\(422\) −20.6322 + 21.3464i −1.00436 + 1.03913i
\(423\) 12.7769 + 2.14299i 0.621234 + 0.104196i
\(424\) −1.38360 + 6.46725i −0.0671935 + 0.314077i
\(425\) −41.9171 24.2008i −2.03328 1.17391i
\(426\) 4.30646 + 21.7211i 0.208649 + 1.05239i
\(427\) 10.3720 9.52038i 0.501937 0.460723i
\(428\) −3.36313 + 6.31169i −0.162563 + 0.305087i
\(429\) 0.631793 + 0.0526160i 0.0305033 + 0.00254033i
\(430\) 4.93165 + 17.2274i 0.237825 + 0.830778i
\(431\) 8.36354 + 14.4861i 0.402858 + 0.697770i 0.994070 0.108746i \(-0.0346837\pi\)
−0.591212 + 0.806516i \(0.701350\pi\)
\(432\) −20.4443 3.74593i −0.983625 0.180226i
\(433\) −14.1708 −0.681007 −0.340503 0.940243i \(-0.610597\pi\)
−0.340503 + 0.940243i \(0.610597\pi\)
\(434\) 16.3057 + 9.98306i 0.782700 + 0.479202i
\(435\) −6.83661 14.5027i −0.327790 0.695349i
\(436\) −0.596444 0.956386i −0.0285645 0.0458026i
\(437\) 8.11535 + 14.0562i 0.388210 + 0.672399i
\(438\) 15.3187 13.4172i 0.731956 0.641098i
\(439\) 22.3364 + 12.8959i 1.06606 + 0.615489i 0.927102 0.374809i \(-0.122292\pi\)
0.138957 + 0.990298i \(0.455625\pi\)
\(440\) −3.08708 + 3.41944i −0.147171 + 0.163016i
\(441\) −5.23108 + 20.3380i −0.249099 + 0.968478i
\(442\) −6.94326 1.73440i −0.330257 0.0824971i
\(443\) 30.3993 + 17.5510i 1.44431 + 0.833875i 0.998134 0.0610673i \(-0.0194504\pi\)
0.446181 + 0.894943i \(0.352784\pi\)
\(444\) −5.28980 10.2978i −0.251043 0.488711i
\(445\) 24.9675 14.4150i 1.18357 0.683336i
\(446\) 7.16964 + 6.92975i 0.339492 + 0.328133i
\(447\) 4.93864 + 10.4765i 0.233590 + 0.495519i
\(448\) 20.7335 + 4.25712i 0.979565 + 0.201130i
\(449\) 13.8891i 0.655467i 0.944770 + 0.327733i \(0.106285\pi\)
−0.944770 + 0.327733i \(0.893715\pi\)
\(450\) −3.64449 32.2199i −0.171803 1.51886i
\(451\) −2.32361 4.02462i −0.109415 0.189512i
\(452\) −2.82760 + 0.0962458i −0.132999 + 0.00452702i
\(453\) −0.607972 + 7.30029i −0.0285650 + 0.342998i
\(454\) −7.11097 + 28.4671i −0.333734 + 1.33603i
\(455\) 5.53788 5.08317i 0.259620 0.238303i
\(456\) 7.42664 24.5418i 0.347784 1.14928i
\(457\) 3.77280 6.53468i 0.176484 0.305679i −0.764190 0.644991i \(-0.776861\pi\)
0.940674 + 0.339312i \(0.110194\pi\)
\(458\) 29.8998 8.55937i 1.39713 0.399953i
\(459\) 31.6769 8.91476i 1.47855 0.416106i
\(460\) −18.7120 + 11.6696i −0.872450 + 0.544098i
\(461\) 17.6339 0.821292 0.410646 0.911795i \(-0.365303\pi\)
0.410646 + 0.911795i \(0.365303\pi\)
\(462\) 2.71698 1.19621i 0.126405 0.0556529i
\(463\) 29.5192i 1.37187i −0.727661 0.685937i \(-0.759393\pi\)
0.727661 0.685937i \(-0.240607\pi\)
\(464\) 10.3895 0.708096i 0.482321 0.0328725i
\(465\) 25.8531 + 17.9420i 1.19891 + 0.832043i
\(466\) −23.7689 + 6.80427i −1.10107 + 0.315202i
\(467\) −26.4319 15.2605i −1.22312 0.706170i −0.257539 0.966268i \(-0.582912\pi\)
−0.965582 + 0.260098i \(0.916245\pi\)
\(468\) −1.82918 4.43172i −0.0845537 0.204856i
\(469\) 0.0505738 0.0112569i 0.00233528 0.000519795i
\(470\) −21.0679 5.26267i −0.971788 0.242749i
\(471\) 3.30946 39.7388i 0.152492 1.83107i
\(472\) −4.78229 1.02312i −0.220123 0.0470929i
\(473\) −1.41368 + 0.816191i −0.0650013 + 0.0375285i
\(474\) −9.91232 + 29.1408i −0.455288 + 1.33848i
\(475\) 40.0015 1.83540
\(476\) −32.4441 + 8.38941i −1.48707 + 0.384528i
\(477\) 4.46396 5.41112i 0.204391 0.247758i
\(478\) 6.49213 6.71687i 0.296943 0.307222i
\(479\) 0.0969618 + 0.167943i 0.00443030 + 0.00767350i 0.868232 0.496158i \(-0.165256\pi\)
−0.863802 + 0.503832i \(0.831923\pi\)
\(480\) 33.6689 + 8.95037i 1.53677 + 0.408527i
\(481\) 1.33523 2.31268i 0.0608811 0.105449i
\(482\) 14.4878 + 3.61899i 0.659900 + 0.164841i
\(483\) 14.0797 1.92565i 0.640650 0.0876203i
\(484\) 19.0454 + 10.1482i 0.865699 + 0.461280i
\(485\) 12.5396 21.7193i 0.569395 0.986221i
\(486\) 17.4126 + 13.5204i 0.789851 + 0.613299i
\(487\) 17.4486 10.0740i 0.790673 0.456496i −0.0495261 0.998773i \(-0.515771\pi\)
0.840200 + 0.542277i \(0.182438\pi\)
\(488\) 4.63208 + 14.3205i 0.209684 + 0.648259i
\(489\) 15.3631 + 32.5900i 0.694742 + 1.47377i
\(490\) 11.4180 33.2959i 0.515815 1.50415i
\(491\) 4.30244i 0.194167i 0.995276 + 0.0970833i \(0.0309513\pi\)
−0.995276 + 0.0970833i \(0.969049\pi\)
\(492\) −19.0435 + 29.5371i −0.858547 + 1.33163i
\(493\) −14.2785 + 8.24371i −0.643073 + 0.371278i
\(494\) 5.68617 1.62777i 0.255833 0.0732369i
\(495\) 4.57745 1.70950i 0.205741 0.0768365i
\(496\) −16.9649 + 11.3995i −0.761748 + 0.511853i
\(497\) −7.17302 + 22.8173i −0.321754 + 1.02349i
\(498\) 1.66750 0.330600i 0.0747224 0.0148145i
\(499\) −13.0198 + 22.5510i −0.582848 + 1.00952i 0.412292 + 0.911052i \(0.364728\pi\)
−0.995140 + 0.0984710i \(0.968605\pi\)
\(500\) 0.639316 + 18.7824i 0.0285911 + 0.839976i
\(501\) −7.44502 + 10.7277i −0.332619 + 0.479279i
\(502\) −6.77892 6.55210i −0.302558 0.292435i
\(503\) 22.7182 1.01295 0.506476 0.862254i \(-0.330948\pi\)
0.506476 + 0.862254i \(0.330948\pi\)
\(504\) −17.4349 14.1430i −0.776613 0.629978i
\(505\) 23.7766 1.05804
\(506\) −1.44447 1.39614i −0.0642144 0.0620659i
\(507\) −12.2073 + 17.5898i −0.542146 + 0.781191i
\(508\) 31.3904 1.06847i 1.39272 0.0474055i
\(509\) −18.1915 + 31.5087i −0.806326 + 1.39660i 0.109067 + 0.994034i \(0.465214\pi\)
−0.915392 + 0.402563i \(0.868120\pi\)
\(510\) −54.1048 + 10.7269i −2.39580 + 0.474994i
\(511\) 21.4700 4.77886i 0.949776 0.211404i
\(512\) −13.3726 + 18.2530i −0.590991 + 0.806678i
\(513\) −18.9882 + 19.4702i −0.838347 + 0.859630i
\(514\) 1.39386 0.399017i 0.0614803 0.0175999i
\(515\) 19.5117 11.2651i 0.859790 0.496400i
\(516\) 10.3752 + 6.68921i 0.456742 + 0.294476i
\(517\) 1.97817i 0.0869997i
\(518\) 0.322256 12.5004i 0.0141591 0.549236i
\(519\) 11.4860 + 24.3654i 0.504177 + 1.06952i
\(520\) 2.47319 + 7.64608i 0.108456 + 0.335303i
\(521\) 4.25083 2.45422i 0.186232 0.107521i −0.403985 0.914765i \(-0.632375\pi\)
0.590218 + 0.807244i \(0.299042\pi\)
\(522\) −10.1256 4.41253i −0.443187 0.193131i
\(523\) 20.4680 35.4516i 0.895002 1.55019i 0.0612000 0.998126i \(-0.480507\pi\)
0.833802 0.552064i \(-0.186159\pi\)
\(524\) 1.26646 2.37680i 0.0553255 0.103831i
\(525\) 13.2401 32.4243i 0.577846 1.41511i
\(526\) 23.6050 + 5.89645i 1.02923 + 0.257098i
\(527\) 16.1802 28.0249i 0.704821 1.22079i
\(528\) −0.0477264 + 3.17326i −0.00207703 + 0.138099i
\(529\) 6.69173 + 11.5904i 0.290945 + 0.503931i
\(530\) −8.17142 + 8.45429i −0.354944 + 0.367231i
\(531\) 4.00132 + 3.30093i 0.173642 + 0.143248i
\(532\) 19.7544 19.4112i 0.856462 0.841584i
\(533\) −8.10662 −0.351137
\(534\) 6.39586 18.8029i 0.276776 0.813681i
\(535\) −11.0112 + 6.35733i −0.476057 + 0.274852i
\(536\) −0.0115876 + 0.0541632i −0.000500509 + 0.00233949i
\(537\) 1.29671 15.5705i 0.0559574 0.671915i
\(538\) 10.7744 + 2.69140i 0.464517 + 0.116035i
\(539\) 3.19478 + 0.274055i 0.137609 + 0.0118044i
\(540\) −27.3164 24.8843i −1.17551 1.07085i
\(541\) 7.39731 + 4.27084i 0.318035 + 0.183618i 0.650517 0.759492i \(-0.274552\pi\)
−0.332481 + 0.943110i \(0.607886\pi\)
\(542\) −24.6630 + 7.06023i −1.05937 + 0.303263i
\(543\) −14.8045 10.2743i −0.635322 0.440913i
\(544\) 6.29871 35.2670i 0.270055 1.51206i
\(545\) 2.00385i 0.0858353i
\(546\) 0.562634 5.14786i 0.0240785 0.220308i
\(547\) −0.501652 −0.0214491 −0.0107245 0.999942i \(-0.503414\pi\)
−0.0107245 + 0.999942i \(0.503414\pi\)
\(548\) 9.52158 + 15.2677i 0.406742 + 0.652202i
\(549\) 2.64066 15.7441i 0.112701 0.671942i
\(550\) −4.75986 + 1.36260i −0.202961 + 0.0581014i
\(551\) 6.81301 11.8005i 0.290244 0.502718i
\(552\) −4.40021 + 14.5408i −0.187285 + 0.618898i
\(553\) −24.4930 + 22.4819i −1.04155 + 0.956028i
\(554\) 7.63405 30.5611i 0.324340 1.29842i
\(555\) 1.70815 20.5109i 0.0725071 0.870638i
\(556\) 1.08978 + 32.0166i 0.0462169 + 1.35781i
\(557\) −8.85048 15.3295i −0.375007 0.649531i 0.615321 0.788277i \(-0.289026\pi\)
−0.990328 + 0.138745i \(0.955693\pi\)
\(558\) 21.5416 2.43664i 0.911929 0.103151i
\(559\) 2.84753i 0.120438i
\(560\) 27.2718 + 25.9275i 1.15244 + 1.09564i
\(561\) −2.14252 4.54498i −0.0904572 0.191889i
\(562\) 18.2130 + 17.6036i 0.768267 + 0.742562i
\(563\) −0.214083 + 0.123601i −0.00902251 + 0.00520915i −0.504504 0.863409i \(-0.668325\pi\)
0.495482 + 0.868618i \(0.334991\pi\)
\(564\) −13.3066 + 6.83540i −0.560310 + 0.287822i
\(565\) −4.35603 2.51495i −0.183260 0.105805i
\(566\) 6.15456 + 1.53739i 0.258696 + 0.0646212i
\(567\) 9.49720 + 21.8358i 0.398845 + 0.917018i
\(568\) −18.9793 17.1345i −0.796353 0.718949i
\(569\) −22.8950 13.2184i −0.959809 0.554146i −0.0636947 0.997969i \(-0.520288\pi\)
−0.896114 + 0.443824i \(0.853622\pi\)
\(570\) 34.2916 30.0349i 1.43632 1.25803i
\(571\) −16.4357 28.4675i −0.687814 1.19133i −0.972544 0.232721i \(-0.925237\pi\)
0.284730 0.958608i \(-0.408096\pi\)
\(572\) −0.621162 + 0.387384i −0.0259721 + 0.0161973i
\(573\) −10.8395 22.9941i −0.452826 0.960591i
\(574\) −33.3523 + 18.1264i −1.39210 + 0.756580i
\(575\) −23.7005 −0.988380
\(576\) 21.5106 10.6439i 0.896276 0.443496i
\(577\) 13.3055 + 23.0459i 0.553917 + 0.959413i 0.997987 + 0.0634205i \(0.0202009\pi\)
−0.444070 + 0.895992i \(0.646466\pi\)
\(578\) 8.99359 + 31.4167i 0.374084 + 1.30676i
\(579\) −27.8440 2.31886i −1.15716 0.0963685i
\(580\) 16.3389 + 8.70604i 0.678436 + 0.361499i
\(581\) 1.75164 + 0.550661i 0.0726705 + 0.0228453i
\(582\) −3.35997 16.9472i −0.139275 0.702484i
\(583\) −0.927594 0.535547i −0.0384170 0.0221801i
\(584\) −4.91927 + 22.9938i −0.203561 + 0.951488i
\(585\) 1.40992 8.40617i 0.0582929 0.347552i
\(586\) 24.3461 25.1889i 1.00573 1.04054i
\(587\) 23.5447i 0.971792i −0.874017 0.485896i \(-0.838493\pi\)
0.874017 0.485896i \(-0.161507\pi\)
\(588\) −9.19580 22.4374i −0.379228 0.925303i
\(589\) 26.7442i 1.10198i
\(590\) −6.25163 6.04246i −0.257376 0.248764i
\(591\) −21.6742 + 31.2309i −0.891558 + 1.28467i
\(592\) 12.0047 + 5.88129i 0.493389 + 0.241720i
\(593\) 4.37266 + 2.52456i 0.179564 + 0.103671i 0.587088 0.809523i \(-0.300274\pi\)
−0.407524 + 0.913195i \(0.633608\pi\)
\(594\) 1.59621 2.96361i 0.0654935 0.121598i
\(595\) −56.8351 17.8671i −2.33001 0.732480i
\(596\) −11.8029 6.28908i −0.483467 0.257611i
\(597\) −2.29345 + 27.5389i −0.0938648 + 1.12709i
\(598\) −3.36900 + 0.964439i −0.137769 + 0.0394389i
\(599\) −7.88687 13.6605i −0.322249 0.558151i 0.658703 0.752403i \(-0.271105\pi\)
−0.980952 + 0.194252i \(0.937772\pi\)
\(600\) 25.6132 + 27.3100i 1.04565 + 1.11493i
\(601\) −3.65359 −0.149033 −0.0745165 0.997220i \(-0.523741\pi\)
−0.0745165 + 0.997220i \(0.523741\pi\)
\(602\) 6.36706 + 11.7153i 0.259502 + 0.477481i
\(603\) 0.0373856 0.0453181i 0.00152246 0.00184550i
\(604\) −4.47617 7.17745i −0.182133 0.292046i
\(605\) 19.1831 + 33.2261i 0.779904 + 1.35083i
\(606\) 12.3216 10.7921i 0.500532 0.438400i
\(607\) −40.3527 23.2976i −1.63786 0.945622i −0.981567 0.191120i \(-0.938788\pi\)
−0.656298 0.754502i \(-0.727878\pi\)
\(608\) 10.0650 + 27.8443i 0.408191 + 1.12923i
\(609\) −7.31017 9.42833i −0.296223 0.382055i
\(610\) −6.48483 + 25.9605i −0.262563 + 1.05111i
\(611\) −2.98841 1.72536i −0.120898 0.0698005i
\(612\) −23.1696 + 30.1170i −0.936575 + 1.21741i
\(613\) 18.5964 10.7366i 0.751102 0.433649i −0.0749902 0.997184i \(-0.523893\pi\)
0.826092 + 0.563536i \(0.190559\pi\)
\(614\) −7.58940 + 7.85212i −0.306283 + 0.316886i
\(615\) −56.5152 + 26.6415i −2.27891 + 1.07429i
\(616\) −1.68940 + 2.98269i −0.0680678 + 0.120176i
\(617\) 23.7350i 0.955536i −0.878486 0.477768i \(-0.841446\pi\)
0.878486 0.477768i \(-0.158554\pi\)
\(618\) 4.99828 14.6942i 0.201060 0.591088i
\(619\) −10.3184 17.8719i −0.414730 0.718334i 0.580670 0.814139i \(-0.302791\pi\)
−0.995400 + 0.0958052i \(0.969457\pi\)
\(620\) −36.3163 + 1.23613i −1.45850 + 0.0496443i
\(621\) 11.2503 11.5359i 0.451459 0.462920i
\(622\) 27.4667 + 6.86108i 1.10131 + 0.275104i
\(623\) 15.8040 14.5063i 0.633173 0.581183i
\(624\) 4.75221 + 2.83982i 0.190241 + 0.113684i
\(625\) 2.40116 4.15892i 0.0960462 0.166357i
\(626\) −6.65162 23.2356i −0.265852 0.928682i
\(627\) 3.41155 + 2.36762i 0.136244 + 0.0945535i
\(628\) 24.3658 + 39.0701i 0.972301 + 1.55906i
\(629\) −21.1649 −0.843899
\(630\) −12.9955 37.7373i −0.517752 1.50349i
\(631\) 1.83946i 0.0732279i 0.999329 + 0.0366139i \(0.0116572\pi\)
−0.999329 + 0.0366139i \(0.988343\pi\)
\(632\) −10.9384 33.8172i −0.435108 1.34517i
\(633\) −20.7305 + 29.8711i −0.823964 + 1.18727i
\(634\) −5.97097 20.8580i −0.237138 0.828375i
\(635\) 48.3581 + 27.9196i 1.91903 + 1.10796i
\(636\) −0.397256 + 8.09022i −0.0157522 + 0.320798i
\(637\) 3.20050 4.58730i 0.126808 0.181756i
\(638\) −0.408727 + 1.63624i −0.0161817 + 0.0647794i
\(639\) 9.48843 + 25.4067i 0.375357 + 1.00507i
\(640\) −37.3448 + 14.9544i −1.47618 + 0.591124i
\(641\) −21.1148 + 12.1906i −0.833983 + 0.481500i −0.855214 0.518274i \(-0.826575\pi\)
0.0212316 + 0.999775i \(0.493241\pi\)
\(642\) −2.82072 + 8.29250i −0.111325 + 0.327279i
\(643\) −7.88201 −0.310836 −0.155418 0.987849i \(-0.549672\pi\)
−0.155418 + 0.987849i \(0.549672\pi\)
\(644\) −11.7043 + 11.5010i −0.461214 + 0.453202i
\(645\) 9.35808 + 19.8515i 0.368474 + 0.781652i
\(646\) −33.7057 32.5780i −1.32613 1.28176i
\(647\) −2.44506 4.23496i −0.0961251 0.166494i 0.813953 0.580931i \(-0.197312\pi\)
−0.910078 + 0.414438i \(0.863978\pi\)
\(648\) −25.4510 0.496819i −0.999810 0.0195169i
\(649\) 0.396017 0.685921i 0.0155450 0.0269247i
\(650\) −2.09308 + 8.37916i −0.0820975 + 0.328658i
\(651\) 21.6783 + 8.85209i 0.849639 + 0.346941i
\(652\) −36.7164 19.5640i −1.43793 0.766186i
\(653\) 21.3381 36.9587i 0.835024 1.44630i −0.0589868 0.998259i \(-0.518787\pi\)
0.894011 0.448045i \(-0.147880\pi\)
\(654\) −0.909541 1.03844i −0.0355659 0.0406064i
\(655\) 4.14651 2.39399i 0.162018 0.0935410i
\(656\) −2.75937 40.4868i −0.107735 1.58074i
\(657\) 15.8712 19.2388i 0.619195 0.750576i
\(658\) −16.1528 0.416414i −0.629702 0.0162335i
\(659\) 33.4550i 1.30322i 0.758553 + 0.651611i \(0.225907\pi\)
−0.758553 + 0.651611i \(0.774093\pi\)
\(660\) −3.05733 + 4.74202i −0.119006 + 0.184583i
\(661\) 11.2595 6.50067i 0.437944 0.252847i −0.264781 0.964308i \(-0.585300\pi\)
0.702725 + 0.711462i \(0.251966\pi\)
\(662\) −5.34109 18.6576i −0.207587 0.725149i
\(663\) −8.73478 0.727436i −0.339231 0.0282513i
\(664\) −1.31539 + 1.45701i −0.0510470 + 0.0565429i
\(665\) 48.0615 10.6977i 1.86374 0.414838i
\(666\) −8.42463 11.4046i −0.326448 0.441919i
\(667\) −4.03665 + 6.99168i −0.156300 + 0.270719i
\(668\) −0.512931 15.0694i −0.0198459 0.583052i
\(669\) 10.0328 + 6.96278i 0.387891 + 0.269197i
\(670\) −0.0684356 + 0.0708046i −0.00264390 + 0.00273542i
\(671\) −2.43756 −0.0941009
\(672\) 25.9014 + 1.05770i 0.999167 + 0.0408016i
\(673\) −12.3531 −0.476179 −0.238089 0.971243i \(-0.576521\pi\)
−0.238089 + 0.971243i \(0.576521\pi\)
\(674\) 15.4639 15.9992i 0.595646 0.616265i
\(675\) −10.7584 38.2278i −0.414090 1.47139i
\(676\) −0.841033 24.7087i −0.0323474 0.950334i
\(677\) 2.07866 3.60034i 0.0798894 0.138372i −0.823313 0.567588i \(-0.807877\pi\)
0.903202 + 0.429216i \(0.141210\pi\)
\(678\) −3.39894 + 0.673878i −0.130535 + 0.0258801i
\(679\) 5.59650 17.8024i 0.214774 0.683193i
\(680\) 42.6801 47.2751i 1.63671 1.81292i
\(681\) −2.98246 + 35.8122i −0.114288 + 1.37233i
\(682\) −0.911007 3.18235i −0.0348843 0.121859i
\(683\) −11.5310 + 6.65741i −0.441221 + 0.254739i −0.704115 0.710086i \(-0.748656\pi\)
0.262895 + 0.964825i \(0.415323\pi\)
\(684\) 4.13799 31.1298i 0.158220 1.19028i
\(685\) 31.9892i 1.22224i
\(686\) 2.91032 26.0294i 0.111117 0.993807i
\(687\) 34.4542 16.2419i 1.31451 0.619665i
\(688\) −14.2214 + 0.969255i −0.542184 + 0.0369525i
\(689\) −1.61810 + 0.934208i −0.0616445 + 0.0355905i
\(690\) −20.3174 + 17.7954i −0.773472 + 0.677460i
\(691\) 7.57239 13.1158i 0.288067 0.498947i −0.685281 0.728279i \(-0.740321\pi\)
0.973348 + 0.229332i \(0.0736540\pi\)
\(692\) −27.4504 14.6267i −1.04351 0.556024i
\(693\) 3.04833 1.98167i 0.115796 0.0752775i
\(694\) −7.33338 + 29.3575i −0.278371 + 1.11439i
\(695\) −28.4765 + 49.3228i −1.08018 + 1.87092i
\(696\) 12.4189 2.90450i 0.470737 0.110095i
\(697\) 32.1248 + 55.6418i 1.21681 + 2.10758i
\(698\) 15.9919 + 15.4568i 0.605301 + 0.585048i
\(699\) −27.3894 + 12.9115i −1.03596 + 0.488357i
\(700\) 10.1244 + 39.1537i 0.382666 + 1.47987i
\(701\) −51.6538 −1.95094 −0.975468 0.220142i \(-0.929348\pi\)
−0.975468 + 0.220142i \(0.929348\pi\)
\(702\) −3.08489 4.99625i −0.116432 0.188571i
\(703\) 15.1483 8.74585i 0.571327 0.329856i
\(704\) −2.14614 2.97040i −0.0808856 0.111951i
\(705\) −26.5038 2.20725i −0.998192 0.0831299i
\(706\) −4.02975 + 16.1321i −0.151662 + 0.607141i
\(707\) 17.2694 3.84388i 0.649483 0.144564i
\(708\) −5.98241 0.293756i −0.224833 0.0110400i
\(709\) −44.7941 25.8619i −1.68228 0.971263i −0.960143 0.279510i \(-0.909828\pi\)
−0.722134 0.691753i \(-0.756839\pi\)
\(710\) −12.5108 43.7030i −0.469521 1.64014i
\(711\) −6.23580 + 37.1789i −0.233861 + 1.39432i
\(712\) 7.05796 + 21.8203i 0.264508 + 0.817751i
\(713\) 15.8457i 0.593427i
\(714\) −37.5632 + 16.5381i −1.40577 + 0.618923i
\(715\) −1.30147 −0.0486724
\(716\) 9.54702 + 15.3085i 0.356789 + 0.572104i
\(717\) 6.52307 9.39924i 0.243608 0.351021i
\(718\) −7.98966 27.9097i −0.298171 1.04158i
\(719\) −18.9896 + 32.8909i −0.708191 + 1.22662i 0.257336 + 0.966322i \(0.417155\pi\)
−0.965527 + 0.260302i \(0.916178\pi\)
\(720\) 42.4627 + 4.18019i 1.58249 + 0.155787i
\(721\) 12.3506 11.3365i 0.459960 0.422193i
\(722\) 11.5170 + 2.87691i 0.428620 + 0.107068i
\(723\) 18.2260 + 1.51787i 0.677831 + 0.0564500i
\(724\) 20.7961 0.707858i 0.772882 0.0263073i
\(725\) 9.94856 + 17.2314i 0.369480 + 0.639958i
\(726\) 25.0224 + 8.51145i 0.928669 + 0.315890i
\(727\) 15.9886i 0.592984i 0.955035 + 0.296492i \(0.0958167\pi\)
−0.955035 + 0.296492i \(0.904183\pi\)
\(728\) 3.03244 + 5.15367i 0.112390 + 0.191008i
\(729\) 23.7137 + 12.9097i 0.878285 + 0.478137i
\(730\) −29.0528 + 30.0585i −1.07529 + 1.11252i
\(731\) 19.5447 11.2842i 0.722888 0.417359i
\(732\) 8.42279 + 16.3968i 0.311315 + 0.606044i
\(733\) 10.1169 + 5.84098i 0.373675 + 0.215741i 0.675063 0.737760i \(-0.264117\pi\)
−0.301388 + 0.953502i \(0.597450\pi\)
\(734\) 7.88701 31.5738i 0.291115 1.16541i
\(735\) 7.23659 42.4984i 0.266925 1.56758i
\(736\) −5.96344 16.4975i −0.219815 0.608105i
\(737\) −0.00776859 0.00448520i −0.000286160 0.000165214i
\(738\) −17.1951 + 39.4584i −0.632961 + 1.45248i
\(739\) 8.47946 + 14.6869i 0.311922 + 0.540265i 0.978778 0.204922i \(-0.0656939\pi\)
−0.666857 + 0.745186i \(0.732361\pi\)
\(740\) 12.5762 + 20.1657i 0.462312 + 0.741307i
\(741\) 6.55231 3.08878i 0.240705 0.113469i
\(742\) −4.56829 + 7.46158i −0.167707 + 0.273923i
\(743\) 14.5437 0.533558 0.266779 0.963758i \(-0.414041\pi\)
0.266779 + 0.963758i \(0.414041\pi\)
\(744\) −18.2590 + 17.1245i −0.669406 + 0.627814i
\(745\) −11.8883 20.5911i −0.435553 0.754400i
\(746\) 34.0109 9.73625i 1.24523 0.356469i
\(747\) 1.95043 0.728412i 0.0713626 0.0266512i
\(748\) 5.12044 + 2.72838i 0.187222 + 0.0997594i
\(749\) −6.96991 + 6.39761i −0.254675 + 0.233764i
\(750\) 4.47626 + 22.5776i 0.163450 + 0.824416i
\(751\) 9.37421 + 5.41220i 0.342070 + 0.197494i 0.661187 0.750221i \(-0.270053\pi\)
−0.319117 + 0.947715i \(0.603386\pi\)
\(752\) 7.59971 15.5122i 0.277133 0.565673i
\(753\) −9.48607 6.58333i −0.345692 0.239910i
\(754\) 2.11537 + 2.04459i 0.0770372 + 0.0744597i
\(755\) 15.0384i 0.547303i
\(756\) −23.8634 13.6578i −0.867905 0.496730i
\(757\) 13.5121i 0.491105i −0.969383 0.245552i \(-0.921031\pi\)
0.969383 0.245552i \(-0.0789694\pi\)
\(758\) 11.5391 11.9386i 0.419119 0.433628i
\(759\) −2.02131 1.40279i −0.0733690 0.0509181i
\(760\) −11.0120 + 51.4725i −0.399447 + 1.86710i
\(761\) 22.5165 + 12.9999i 0.816221 + 0.471245i 0.849111 0.528214i \(-0.177138\pi\)
−0.0328907 + 0.999459i \(0.510471\pi\)
\(762\) 37.7331 7.48100i 1.36692 0.271008i
\(763\) −0.323955 1.45543i −0.0117280 0.0526903i
\(764\) 25.9054 + 13.8035i 0.937226 + 0.499393i
\(765\) −63.2850 + 23.6345i −2.28808 + 0.854509i
\(766\) −6.95325 24.2893i −0.251231 0.877607i
\(767\) −0.690812 1.19652i −0.0249438 0.0432039i
\(768\) −12.5653 + 24.7005i −0.453411 + 0.891302i
\(769\) 3.84206 0.138548 0.0692741 0.997598i \(-0.477932\pi\)
0.0692741 + 0.997598i \(0.477932\pi\)
\(770\) −5.35453 + 2.91009i −0.192964 + 0.104872i
\(771\) 1.60617 0.757155i 0.0578449 0.0272683i
\(772\) 27.3754 17.0725i 0.985264 0.614454i
\(773\) 18.3710 + 31.8195i 0.66