Properties

Label 168.2.v.a.107.12
Level $168$
Weight $2$
Character 168.107
Analytic conductor $1.341$
Analytic rank $0$
Dimension $56$
CM no
Inner twists $8$

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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 107.12
Character \(\chi\) \(=\) 168.107
Dual form 168.2.v.a.11.12

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.389211 + 1.35960i) q^{2} +(1.72608 - 0.143748i) q^{3} +(-1.69703 - 1.05834i) q^{4} +(1.77783 - 3.07929i) q^{5} +(-0.476367 + 2.40272i) q^{6} +(-0.793456 + 2.52397i) q^{7} +(2.09943 - 1.89537i) q^{8} +(2.95867 - 0.496241i) q^{9} +O(q^{10})\) \(q+(-0.389211 + 1.35960i) q^{2} +(1.72608 - 0.143748i) q^{3} +(-1.69703 - 1.05834i) 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} +(2.95867 - 0.496241i) q^{9} +(3.49466 + 3.61563i) q^{10} +(0.396703 - 0.229036i) q^{11} +(-3.08134 - 1.58283i) q^{12} -0.799063i q^{13} +(-3.12277 - 2.06114i) q^{14} +(2.62603 - 5.57065i) q^{15} +(1.75982 + 3.59208i) q^{16} +(-5.48456 + 3.16651i) q^{17} +(-0.476858 + 4.21576i) q^{18} +(-2.61696 + 4.53272i) q^{19} +(-6.27598 + 3.34410i) q^{20} +(-1.00675 + 4.47062i) q^{21} +(0.156997 + 0.628501i) q^{22} +(1.55053 - 2.68559i) q^{23} +(3.35131 - 3.57333i) q^{24} +(-3.82137 - 6.61880i) q^{25} +(1.08641 + 0.311004i) q^{26} +(5.03556 - 1.28185i) q^{27} +(4.01774 - 3.44351i) q^{28} -2.60340 q^{29} +(6.55179 + 5.73851i) q^{30} +(-4.42520 + 2.55489i) q^{31} +(-5.56873 + 0.994581i) q^{32} +(0.651815 - 0.452359i) 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} +(-5.14413 - 5.32221i) q^{38} +(-0.114864 - 1.37924i) q^{39} +(-2.10396 - 9.83439i) q^{40} -10.1452i q^{41} +(-5.68643 - 3.10879i) q^{42} +3.56359 q^{43} +(-0.915615 - 0.0311657i) q^{44} +(3.73195 - 9.99285i) q^{45} +(3.04785 + 3.15336i) 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} +(-9.01159 + 6.25404i) q^{51} +(-0.845682 + 1.35603i) q^{52} +(1.16913 + 2.02499i) q^{53} +(-0.217084 + 7.34526i) q^{54} -1.62875i q^{55} +(3.11805 + 6.80278i) q^{56} +(-3.86551 + 8.19999i) q^{57} +(1.01327 - 3.53959i) q^{58} +(1.49741 - 0.864528i) q^{59} +(-10.3521 + 6.67433i) q^{60} +(-4.60841 - 2.66067i) q^{61} +(-1.75130 - 7.01090i) q^{62} +(-1.09508 + 7.86135i) q^{63} +(0.815178 - 7.95836i) q^{64} +(-2.46055 - 1.42060i) q^{65} +(0.361335 + 1.06227i) q^{66} +(0.00979145 + 0.0169593i) q^{67} +(12.6587 + 0.430877i) q^{68} +(2.29028 - 4.85842i) q^{69} +(-11.8986 + 5.95157i) q^{70} -9.04022 q^{71} +(5.27096 - 6.64959i) q^{72} +(4.15674 + 7.19969i) q^{73} +(-3.39835 + 3.28465i) q^{74} +(-7.54741 - 10.8752i) 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} +(14.1897 + 0.967099i) q^{80} +(8.50749 - 2.93643i) q^{81} +(13.7934 + 3.94861i) q^{82} -0.694004i q^{83} +(6.43993 - 6.52130i) q^{84} +22.5181i q^{85} +(-1.38699 + 4.84506i) q^{86} +(-4.49367 + 0.374235i) q^{87} +(0.398740 - 1.23274i) 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} +(-7.27097 + 5.04605i) q^{93} +(-4.24437 - 4.39129i) q^{94} +(9.30504 + 16.1168i) q^{95} +(-9.46909 + 2.51722i) q^{96} +7.05333 q^{97} +(7.68004 - 6.24636i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.389211 + 1.35960i −0.275214 + 0.961383i
\(3\) 1.72608 0.143748i 0.996550 0.0829931i
\(4\) −1.69703 1.05834i −0.848515 0.529171i
\(5\) 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
\(9\) 2.95867 0.496241i 0.986224 0.165414i
\(10\) 3.49466 + 3.61563i 1.10511 + 1.14336i
\(11\) 0.396703 0.229036i 0.119610 0.0690571i −0.439001 0.898486i \(-0.644668\pi\)
0.558612 + 0.829429i \(0.311334\pi\)
\(12\) −3.08134 1.58283i −0.889505 0.456925i
\(13\) 0.799063i 0.221620i −0.993842 0.110810i \(-0.964655\pi\)
0.993842 0.110810i \(-0.0353445\pi\)
\(14\) −3.12277 2.06114i −0.834596 0.550863i
\(15\) 2.62603 5.57065i 0.678037 1.43834i
\(16\) 1.75982 + 3.59208i 0.439956 + 0.898020i
\(17\) −5.48456 + 3.16651i −1.33020 + 0.767993i −0.985330 0.170657i \(-0.945411\pi\)
−0.344872 + 0.938650i \(0.612078\pi\)
\(18\) −0.476858 + 4.21576i −0.112396 + 0.993663i
\(19\) −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
\(21\) −1.00675 + 4.47062i −0.219690 + 0.975570i
\(22\) 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 \(0.0618719\pi\)
\(24\) 3.35131 3.57333i 0.684084 0.729404i
\(25\) −3.82137 6.61880i −0.764273 1.32376i
\(26\) 1.08641 + 0.311004i 0.213062 + 0.0609928i
\(27\) 5.03556 1.28185i 0.969094 0.246693i
\(28\) 4.01774 3.44351i 0.759282 0.650762i
\(29\) −2.60340 −0.483440 −0.241720 0.970346i \(-0.577712\pi\)
−0.241720 + 0.970346i \(0.577712\pi\)
\(30\) 6.55179 + 5.73851i 1.19619 + 1.04770i
\(31\) −4.42520 + 2.55489i −0.794790 + 0.458872i −0.841646 0.540030i \(-0.818413\pi\)
0.0468563 + 0.998902i \(0.485080\pi\)
\(32\) −5.56873 + 0.994581i −0.984423 + 0.175819i
\(33\) 0.651815 0.452359i 0.113466 0.0787457i
\(34\) −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 0.718669 0.695352i \(-0.244752\pi\)
−0.242859 + 0.970062i \(0.578085\pi\)
\(38\) −5.14413 5.32221i −0.834489 0.863376i
\(39\) −0.114864 1.37924i −0.0183929 0.220856i
\(40\) −2.10396 9.83439i −0.332666 1.55495i
\(41\) 10.1452i 1.58441i −0.610256 0.792205i \(-0.708933\pi\)
0.610256 0.792205i \(-0.291067\pi\)
\(42\) −5.68643 3.10879i −0.877434 0.479697i
\(43\) 3.56359 0.543442 0.271721 0.962376i \(-0.412407\pi\)
0.271721 + 0.962376i \(0.412407\pi\)
\(44\) −0.915615 0.0311657i −0.138034 0.00469840i
\(45\) 3.73195 9.99285i 0.556326 1.48965i
\(46\) 3.04785 + 3.15336i 0.449381 + 0.464937i
\(47\) −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
\(51\) −9.01159 + 6.25404i −1.26188 + 0.875741i
\(52\) −0.845682 + 1.35603i −0.117275 + 0.188048i
\(53\) 1.16913 + 2.02499i 0.160592 + 0.278154i 0.935081 0.354433i \(-0.115326\pi\)
−0.774489 + 0.632587i \(0.781993\pi\)
\(54\) −0.217084 + 7.34526i −0.0295414 + 0.999564i
\(55\) 1.62875i 0.219621i
\(56\) 3.11805 + 6.80278i 0.416666 + 0.909059i
\(57\) −3.86551 + 8.19999i −0.511999 + 1.08612i
\(58\) 1.01327 3.53959i 0.133049 0.464771i
\(59\) 1.49741 0.864528i 0.194946 0.112552i −0.399350 0.916798i \(-0.630764\pi\)
0.594296 + 0.804247i \(0.297431\pi\)
\(60\) −10.3521 + 6.67433i −1.33645 + 0.861652i
\(61\) −4.60841 2.66067i −0.590047 0.340664i 0.175069 0.984556i \(-0.443985\pi\)
−0.765116 + 0.643892i \(0.777318\pi\)
\(62\) −1.75130 7.01090i −0.222415 0.890385i
\(63\) −1.09508 + 7.86135i −0.137967 + 0.990437i
\(64\) 0.815178 7.95836i 0.101897 0.994795i
\(65\) −2.46055 1.42060i −0.305193 0.176204i
\(66\) 0.361335 + 1.06227i 0.0444773 + 0.130757i
\(67\) 0.00979145 + 0.0169593i 0.00119622 + 0.00207191i 0.866623 0.498964i \(-0.166286\pi\)
−0.865427 + 0.501036i \(0.832953\pi\)
\(68\) 12.6587 + 0.430877i 1.53510 + 0.0522515i
\(69\) 2.29028 4.85842i 0.275717 0.584885i
\(70\) −11.8986 + 5.95157i −1.42216 + 0.711349i
\(71\) −9.04022 −1.07288 −0.536439 0.843939i \(-0.680231\pi\)
−0.536439 + 0.843939i \(0.680231\pi\)
\(72\) 5.27096 6.64959i 0.621188 0.783661i
\(73\) 4.15674 + 7.19969i 0.486510 + 0.842660i 0.999880 0.0155078i \(-0.00493650\pi\)
−0.513370 + 0.858167i \(0.671603\pi\)
\(74\) −3.39835 + 3.28465i −0.395050 + 0.381832i
\(75\) −7.54741 10.8752i −0.871499 1.25576i
\(76\) 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 0.965849 0.259105i \(-0.0834277\pi\)
0.258533 + 0.966003i \(0.416761\pi\)
\(80\) 14.1897 + 0.967099i 1.58646 + 0.108125i
\(81\) 8.50749 2.93643i 0.945277 0.326270i
\(82\) 13.7934 + 3.94861i 1.52322 + 0.436051i
\(83\) 0.694004i 0.0761768i −0.999274 0.0380884i \(-0.987873\pi\)
0.999274 0.0380884i \(-0.0121268\pi\)
\(84\) 6.43993 6.52130i 0.702654 0.711532i
\(85\) 22.5181i 2.44243i
\(86\) −1.38699 + 4.84506i −0.149563 + 0.522456i
\(87\) −4.49367 + 0.374235i −0.481772 + 0.0401222i
\(88\) 0.398740 1.23274i 0.0425058 0.131411i
\(89\) −7.02189 4.05409i −0.744319 0.429733i 0.0793185 0.996849i \(-0.474726\pi\)
−0.823638 + 0.567116i \(0.808059\pi\)
\(90\) 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
\(93\) −7.27097 + 5.04605i −0.753965 + 0.523251i
\(94\) −4.24437 4.39129i −0.437773 0.452927i
\(95\) 9.30504 + 16.1168i 0.954677 + 1.65355i
\(96\) −9.46909 + 2.51722i −0.966435 + 0.256912i
\(97\) 7.05333 0.716157 0.358078 0.933692i \(-0.383432\pi\)
0.358078 + 0.933692i \(0.383432\pi\)
\(98\) 7.68004 6.24636i 0.775801 0.630978i
\(99\) 1.06006 0.874504i 0.106540 0.0878909i
\(100\) −0.519985 + 15.2766i −0.0519985 + 1.52766i
\(101\) 3.34348 + 5.79108i 0.332689 + 0.576234i 0.983038 0.183402i \(-0.0587108\pi\)
−0.650349 + 0.759635i \(0.725378\pi\)
\(102\) −4.99559 14.6863i −0.494637 1.45416i
\(103\) −5.48751 3.16822i −0.540701 0.312174i 0.204662 0.978833i \(-0.434390\pi\)
−0.745363 + 0.666659i \(0.767724\pi\)
\(104\) −1.51452 1.67757i −0.148510 0.164500i
\(105\) 11.9765 + 11.0481i 1.16879 + 1.07818i
\(106\) −3.20822 + 0.801402i −0.311610 + 0.0778390i
\(107\) 3.09681 + 1.78795i 0.299380 + 0.172847i 0.642164 0.766567i \(-0.278037\pi\)
−0.342784 + 0.939414i \(0.611370\pi\)
\(108\) −9.90213 3.15400i −0.952833 0.303494i
\(109\) −0.488061 + 0.281782i −0.0467478 + 0.0269899i −0.523192 0.852215i \(-0.675259\pi\)
0.476444 + 0.879205i \(0.341926\pi\)
\(110\) 2.21445 + 0.633928i 0.211140 + 0.0604426i
\(111\) 5.23588 + 2.46821i 0.496968 + 0.234273i
\(112\) −10.4626 + 1.59159i −0.988627 + 0.150391i
\(113\) 1.41462i 0.133076i 0.997784 + 0.0665381i \(0.0211954\pi\)
−0.997784 + 0.0665381i \(0.978805\pi\)
\(114\) −9.64422 8.44707i −0.903264 0.791141i
\(115\) −5.51315 9.54906i −0.514104 0.890454i
\(116\) 4.41805 + 2.75529i 0.410206 + 0.255822i
\(117\) −0.396527 2.36416i −0.0366590 0.218567i
\(118\) 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
\(122\) 5.41109 5.23004i 0.489897 0.473506i
\(123\) −1.45835 17.5113i −0.131495 1.57894i
\(124\) 10.2137 + 0.347652i 0.917213 + 0.0312200i
\(125\) −9.39666 −0.840463
\(126\) −10.2621 4.54859i −0.914219 0.405221i
\(127\) 15.7043i 1.39353i −0.717299 0.696766i \(-0.754622\pi\)
0.717299 0.696766i \(-0.245378\pi\)
\(128\) 10.5029 + 4.20580i 0.928336 + 0.371743i
\(129\) 6.15102 0.512260i 0.541567 0.0451019i
\(130\) 2.88912 2.79245i 0.253392 0.244914i
\(131\) −1.16617 0.673290i −0.101889 0.0588256i 0.448190 0.893938i \(-0.352069\pi\)
−0.550079 + 0.835113i \(0.685402\pi\)
\(132\) −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
\(135\) 5.00517 17.7849i 0.430776 1.53068i
\(136\) −5.51273 + 17.0431i −0.472713 + 1.46144i
\(137\) 7.79136 4.49834i 0.665661 0.384320i −0.128770 0.991675i \(-0.541103\pi\)
0.794431 + 0.607355i \(0.207769\pi\)
\(138\) 5.71411 + 5.00481i 0.486417 + 0.426038i
\(139\) −16.0176 −1.35859 −0.679296 0.733864i \(-0.737715\pi\)
−0.679296 + 0.733864i \(0.737715\pi\)
\(140\) −3.46070 18.4938i −0.292482 1.56301i
\(141\) −3.18939 + 6.76572i −0.268595 + 0.569777i
\(142\) 3.51855 12.2911i 0.295270 1.03145i
\(143\) −0.183014 0.316990i −0.0153044 0.0265081i
\(144\) 6.98927 + 9.75449i 0.582439 + 0.812874i
\(145\) −4.62841 + 8.01664i −0.384369 + 0.665746i
\(146\) −11.4065 + 2.84931i −0.944013 + 0.235811i
\(147\) −10.4849 6.08824i −0.864781 0.502150i
\(148\) −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 \(0.0783501\pi\)
\(150\) 17.7235 6.02871i 1.44712 0.492242i
\(151\) −3.66278 + 2.11471i −0.298073 + 0.172093i −0.641577 0.767059i \(-0.721719\pi\)
0.343504 + 0.939151i \(0.388386\pi\)
\(152\) 3.09703 + 14.4762i 0.251202 + 1.17418i
\(153\) −14.6557 + 12.0903i −1.18484 + 0.977446i
\(154\) −1.71089 0.102431i −0.137867 0.00825413i
\(155\) 18.1687i 1.45934i
\(156\) −1.26478 + 2.46218i −0.101264 + 0.197132i
\(157\) 19.9382 11.5113i 1.59124 0.918702i 0.598144 0.801389i \(-0.295905\pi\)
0.993095 0.117313i \(-0.0374281\pi\)
\(158\) −12.7780 + 12.3505i −1.01657 + 0.982552i
\(159\) 2.30910 + 3.32723i 0.183123 + 0.263866i
\(160\) −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 \(-0.136409\pi\)
\(164\) −10.7371 + 17.2167i −0.838424 + 1.34440i
\(165\) −0.234130 2.81135i −0.0182270 0.218863i
\(166\) 0.943568 + 0.270114i 0.0732351 + 0.0209649i
\(167\) 7.53905 0.583390 0.291695 0.956511i \(-0.405781\pi\)
0.291695 + 0.956511i \(0.405781\pi\)
\(168\) 6.35987 + 11.2939i 0.490675 + 0.871343i
\(169\) 12.3615 0.950885
\(170\) −30.6156 8.76429i −2.34811 0.672190i
\(171\) −5.49342 + 14.7095i −0.420093 + 1.12486i
\(172\) −6.04751 3.77150i −0.461119 0.287574i
\(173\) 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
\(177\) 2.46036 1.70749i 0.184932 0.128343i
\(178\) 8.24494 7.96908i 0.617985 0.597308i
\(179\) 7.81218 4.51037i 0.583910 0.337121i −0.178776 0.983890i \(-0.557214\pi\)
0.762686 + 0.646769i \(0.223880\pi\)
\(180\) −16.9091 + 13.0085i −1.26033 + 0.969596i
\(181\) 10.4041i 0.773330i −0.922220 0.386665i \(-0.873627\pi\)
0.922220 0.386665i \(-0.126373\pi\)
\(182\) −1.64698 + 2.49529i −0.122082 + 0.184963i
\(183\) −8.33693 3.93006i −0.616284 0.290519i
\(184\) −1.83496 8.57702i −0.135275 0.632306i
\(185\) 10.2909 5.94148i 0.756605 0.436826i
\(186\) −4.03068 11.8496i −0.295543 0.868855i
\(187\) −1.45049 + 2.51233i −0.106071 + 0.183720i
\(188\) 7.62236 4.06151i 0.555918 0.296216i
\(189\) −0.760132 + 13.7267i −0.0552915 + 0.998470i
\(190\) −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 \(0.988488\pi\)
\(192\) 0.263059 13.8539i 0.0189846 0.999820i
\(193\) 8.06569 + 13.9702i 0.580581 + 1.00560i 0.995411 + 0.0956969i \(0.0305080\pi\)
−0.414829 + 0.909899i \(0.636159\pi\)
\(194\) −2.74523 + 9.58971i −0.197096 + 0.688501i
\(195\) −4.45130 2.09836i −0.318764 0.150267i
\(196\) 5.50341 + 12.8729i 0.393101 + 0.919495i
\(197\) 21.9480 1.56373 0.781863 0.623450i \(-0.214269\pi\)
0.781863 + 0.623450i \(0.214269\pi\)
\(198\) 0.776391 + 1.78162i 0.0551757 + 0.126614i
\(199\) −13.8171 + 7.97732i −0.979470 + 0.565497i −0.902110 0.431506i \(-0.857982\pi\)
−0.0773599 + 0.997003i \(0.524649\pi\)
\(200\) −20.5677 6.65279i −1.45436 0.470424i
\(201\) 0.0193387 + 0.0278655i 0.00136404 + 0.00196548i
\(202\) −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
\(206\) 6.44331 6.22773i 0.448927 0.433906i
\(207\) 3.25480 8.71522i 0.226224 0.605750i
\(208\) 2.87030 1.40621i 0.199019 0.0975030i
\(209\) 2.39752i 0.165840i
\(210\) −19.6824 + 11.9833i −1.35821 + 0.826924i
\(211\) 20.9923 1.44517 0.722586 0.691281i \(-0.242953\pi\)
0.722586 + 0.691281i \(0.242953\pi\)
\(212\) 0.159087 4.67381i 0.0109261 0.320999i
\(213\) −15.6041 + 1.29952i −1.06918 + 0.0890414i
\(214\) −3.63621 + 3.51454i −0.248566 + 0.240249i
\(215\) 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
\(219\) 8.20979 + 11.8297i 0.554766 + 0.799375i
\(220\) −1.72378 + 2.76404i −0.116217 + 0.186352i
\(221\) 2.53024 + 4.38251i 0.170203 + 0.294800i
\(222\) −5.39365 + 6.15805i −0.361998 + 0.413302i
\(223\) 7.05072i 0.472151i 0.971735 + 0.236075i \(0.0758613\pi\)
−0.971735 + 0.236075i \(0.924139\pi\)
\(224\) 1.90825 14.8445i 0.127500 0.991839i
\(225\) −14.5907 17.6865i −0.972713 1.17910i
\(226\) −1.92332 0.550585i −0.127937 0.0366244i
\(227\) −17.9681 + 10.3739i −1.19258 + 0.688539i −0.958892 0.283771i \(-0.908414\pi\)
−0.233693 + 0.972310i \(0.575081\pi\)
\(228\) 15.2383 9.82460i 1.00918 0.650650i
\(229\) 19.0453 + 10.9958i 1.25855 + 0.726623i 0.972792 0.231680i \(-0.0744221\pi\)
0.285756 + 0.958302i \(0.407755\pi\)
\(230\) 15.1287 3.77909i 0.997556 0.249186i
\(231\) 0.624556 + 2.00409i 0.0410927 + 0.131859i
\(232\) −5.46565 + 4.93440i −0.358838 + 0.323959i
\(233\) −15.1401 8.74112i −0.991858 0.572650i −0.0860289 0.996293i \(-0.527418\pi\)
−0.905829 + 0.423643i \(0.860751\pi\)
\(234\) 3.36865 + 0.381039i 0.220216 + 0.0249093i
\(235\) 7.67748 + 13.2978i 0.500824 + 0.867452i
\(236\) −3.45611 0.117639i −0.224974 0.00765764i
\(237\) 19.6873 + 9.28065i 1.27883 + 0.602843i
\(238\) 23.6537 + 1.41615i 1.53324 + 0.0917953i
\(239\) −6.60546 −0.427271 −0.213636 0.976913i \(-0.568531\pi\)
−0.213636 + 0.976913i \(0.568531\pi\)
\(240\) 24.6316 0.370463i 1.58996 0.0239133i
\(241\) −5.27959 9.14453i −0.340089 0.589051i 0.644360 0.764722i \(-0.277124\pi\)
−0.984449 + 0.175671i \(0.943790\pi\)
\(242\) −10.6051 10.9722i −0.681718 0.705318i
\(243\) 14.2625 6.29143i 0.914937 0.403596i
\(244\) 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
\(248\) −4.44793 + 13.7512i −0.282444 + 0.873201i
\(249\) −0.0997618 1.19790i −0.00632215 0.0759140i
\(250\) 3.65728 12.7757i 0.231307 0.808007i
\(251\) 6.66647i 0.420784i −0.977617 0.210392i \(-0.932526\pi\)
0.977617 0.210392i \(-0.0674741\pi\)
\(252\) 10.1784 12.1820i 0.641178 0.767392i
\(253\) 1.42051i 0.0893066i
\(254\) 21.3516 + 6.11228i 1.33972 + 0.383519i
\(255\) 3.23694 + 38.8680i 0.202705 + 2.43401i
\(256\) −9.80605 + 12.6428i −0.612878 + 0.790177i
\(257\) 0.887844 + 0.512597i 0.0553822 + 0.0319749i 0.527435 0.849595i \(-0.323154\pi\)
−0.472053 + 0.881570i \(0.656487\pi\)
\(258\) −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
\(261\) −7.70262 + 1.29191i −0.476780 + 0.0799675i
\(262\) 1.36929 1.32348i 0.0845952 0.0817647i
\(263\) −8.60208 14.8992i −0.530427 0.918726i −0.999370 0.0354978i \(-0.988698\pi\)
0.468943 0.883228i \(-0.344635\pi\)
\(264\) 0.511051 2.18512i 0.0314530 0.134485i
\(265\) 8.31406 0.510729
\(266\) 17.5147 8.76071i 1.07390 0.537153i
\(267\) −12.7031 5.98828i −0.777416 0.366477i
\(268\) 0.00133235 0.0391431i 8.13864e−5 0.00239105i
\(269\) −3.92637 6.80068i −0.239395 0.414644i 0.721146 0.692783i \(-0.243616\pi\)
−0.960541 + 0.278139i \(0.910282\pi\)
\(270\) 22.2323 + 13.7271i 1.35301 + 0.835405i
\(271\) −15.7096 9.06993i −0.954289 0.550959i −0.0598783 0.998206i \(-0.519071\pi\)
−0.894411 + 0.447247i \(0.852405\pi\)
\(272\) −21.0262 14.1285i −1.27490 0.856665i
\(273\) 3.57231 + 0.804454i 0.216206 + 0.0486878i
\(274\) 3.08347 + 12.3439i 0.186279 + 0.745725i
\(275\) −3.03189 1.75046i −0.182830 0.105557i
\(276\) −9.02854 + 5.82099i −0.543454 + 0.350382i
\(277\) 19.2898 11.1370i 1.15901 0.669157i 0.207946 0.978140i \(-0.433322\pi\)
0.951067 + 0.308983i \(0.0999888\pi\)
\(278\) 6.23421 21.7775i 0.373903 1.30613i
\(279\) −11.8249 + 9.75505i −0.707937 + 0.584020i
\(280\) 26.4911 + 2.49281i 1.58315 + 0.148974i
\(281\) 17.9109i 1.06847i 0.845335 + 0.534236i \(0.179401\pi\)
−0.845335 + 0.534236i \(0.820599\pi\)
\(282\) −7.95734 6.96959i −0.473853 0.415033i
\(283\) −2.24283 3.88469i −0.133322 0.230921i 0.791633 0.610997i \(-0.209231\pi\)
−0.924955 + 0.380076i \(0.875898\pi\)
\(284\) 15.3415 + 9.56765i 0.910352 + 0.567736i
\(285\) 18.3780 + 26.4812i 1.08862 + 1.56861i
\(286\) 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
\(290\) −9.09801 9.41296i −0.534254 0.552748i
\(291\) 12.1746 1.01390i 0.713686 0.0594361i
\(292\) 0.565620 16.6173i 0.0331004 0.972456i
\(293\) −24.7711 −1.44714 −0.723570 0.690251i \(-0.757500\pi\)
−0.723570 + 0.690251i \(0.757500\pi\)
\(294\) 12.3584 11.8857i 0.720758 0.693187i
\(295\) 6.14794i 0.357947i
\(296\) 9.24338 1.97752i 0.537261 0.114941i
\(297\) 1.70403 1.66184i 0.0988778 0.0964298i
\(298\) 6.57224 + 6.79975i 0.380719 + 0.393899i
\(299\) −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
\(303\) 6.60356 + 9.51522i 0.379364 + 0.546635i
\(304\) −20.8873 1.42357i −1.19797 0.0816473i
\(305\) −16.3860 + 9.46044i −0.938257 + 0.541703i
\(306\) −10.7339 24.6316i −0.613616 1.40809i
\(307\) 7.72188 0.440711 0.220355 0.975420i \(-0.429278\pi\)
0.220355 + 0.975420i \(0.429278\pi\)
\(308\) 0.805161 2.28626i 0.0458783 0.130272i
\(309\) −9.92729 4.67976i −0.564744 0.266222i
\(310\) −24.7021 7.07144i −1.40299 0.401631i
\(311\) −10.0093 17.3367i −0.567577 0.983072i −0.996805 0.0798757i \(-0.974548\pi\)
0.429228 0.903196i \(-0.358786\pi\)
\(312\) −2.85532 2.67791i −0.161650 0.151607i
\(313\) −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
\(315\) 22.2605 + 17.3482i 1.25424 + 0.977461i
\(316\) −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 \(0.308444\pi\)
\(318\) −5.42243 + 1.84446i −0.304075 + 0.103432i
\(319\) −1.03278 + 0.596274i −0.0578244 + 0.0333849i
\(320\) −23.0569 16.6588i −1.28892 0.931255i
\(321\) 5.60235 + 2.64097i 0.312693 + 0.147405i
\(322\) −10.3773 + 5.19064i −0.578305 + 0.289263i
\(323\) 33.1466i 1.84433i
\(324\) −17.5452 4.02063i −0.974734 0.223368i
\(325\) −5.28884 + 3.05351i −0.293372 + 0.169378i
\(326\) 20.4448 + 21.1526i 1.13234 + 1.17153i
\(327\) −0.801925 + 0.556536i −0.0443465 + 0.0307765i
\(328\) −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 \(0.289759\pi\)
\(332\) −0.734493 + 1.17774i −0.0403106 + 0.0646371i
\(333\) 9.39233 + 3.50768i 0.514696 + 0.192219i
\(334\) −2.93428 + 10.2501i −0.160557 + 0.560861i
\(335\) 0.0696302 0.00380430
\(336\) −17.8305 + 4.25118i −0.972735 + 0.231921i
\(337\) −15.7338 −0.857074 −0.428537 0.903524i \(-0.640971\pi\)
−0.428537 + 0.903524i \(0.640971\pi\)
\(338\) −4.81123 + 16.8067i −0.261696 + 0.914164i
\(339\) 0.203349 + 2.44174i 0.0110444 + 0.132617i
\(340\) 23.8319 38.2139i 1.29246 2.07244i
\(341\) −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
\(345\) −10.8888 15.6899i −0.586232 0.844715i
\(346\) 15.2853 + 15.8144i 0.821740 + 0.850187i
\(347\) −18.5301 + 10.6984i −0.994748 + 0.574318i −0.906690 0.421798i \(-0.861399\pi\)
−0.0880576 + 0.996115i \(0.528066\pi\)
\(348\) 8.02196 + 4.12076i 0.430022 + 0.220896i
\(349\) 15.7266i 0.841826i 0.907101 + 0.420913i \(0.138290\pi\)
−0.907101 + 0.420913i \(0.861710\pi\)
\(350\) −1.70901 + 28.5454i −0.0913507 + 1.52581i
\(351\) −1.02428 4.02373i −0.0546721 0.214771i
\(352\) −1.98134 + 1.67000i −0.105606 + 0.0890111i
\(353\) −10.1824 + 5.87883i −0.541956 + 0.312898i −0.745871 0.666090i \(-0.767967\pi\)
0.203915 + 0.978989i \(0.434633\pi\)
\(354\) 1.36391 + 4.00968i 0.0724908 + 0.213112i
\(355\) −16.0720 + 27.8375i −0.853013 + 1.47746i
\(356\) 7.62574 + 14.3115i 0.404164 + 0.758507i
\(357\) −8.63472 27.7073i −0.456998 1.46643i
\(358\) 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 \(0.984444\pi\)
\(360\) −11.1052 28.0527i −0.585293 1.47851i
\(361\) −4.19701 7.26943i −0.220895 0.382601i
\(362\) 14.1454 + 4.04938i 0.743466 + 0.212831i
\(363\) −7.96906 + 16.9050i −0.418267 + 0.887280i
\(364\) −2.75158 3.21043i −0.144222 0.168272i
\(365\) 29.5599 1.54724
\(366\) 8.58814 9.80528i 0.448909 0.512530i
\(367\) 19.9290 11.5060i 1.04029 0.600609i 0.120372 0.992729i \(-0.461591\pi\)
0.919914 + 0.392120i \(0.128258\pi\)
\(368\) 12.3755 + 0.843451i 0.645118 + 0.0439679i
\(369\) −5.03445 30.0162i −0.262083 1.56258i
\(370\) 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 0.941839 0.336065i \(-0.109096\pi\)
0.179878 + 0.983689i \(0.442430\pi\)
\(374\) −2.85122 2.94992i −0.147433 0.152537i
\(375\) −16.2193 + 1.35075i −0.837563 + 0.0697526i
\(376\) 2.55532 + 11.9442i 0.131781 + 0.615973i
\(377\) 2.08028i 0.107140i
\(378\) −18.3670 6.37605i −0.944696 0.327949i
\(379\) −11.7405 −0.603071 −0.301535 0.953455i \(-0.597499\pi\)
−0.301535 + 0.953455i \(0.597499\pi\)
\(380\) 1.26616 37.1986i 0.0649529 1.90825i
\(381\) −2.25747 27.1068i −0.115653 1.38872i
\(382\) −14.4250 14.9243i −0.738045 0.763594i
\(383\) −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
\(387\) 10.5435 1.76840i 0.535956 0.0898927i
\(388\) −11.9697 7.46484i −0.607670 0.378970i
\(389\) −12.9460 22.4231i −0.656386 1.13689i −0.981544 0.191235i \(-0.938751\pi\)
0.325158 0.945660i \(-0.394582\pi\)
\(390\) 4.58543 5.23529i 0.232192 0.265099i
\(391\) 19.6391i 0.993190i
\(392\) −19.6440 + 2.47216i −0.992174 + 0.124863i
\(393\) −2.10969 0.994514i −0.106420 0.0501666i
\(394\) −8.54238 + 29.8405i −0.430359 + 1.50334i
\(395\) 38.6946 22.3404i 1.94694 1.12407i
\(396\) −2.72447 + 0.362157i −0.136910 + 0.0181991i
\(397\) −17.5040 10.1060i −0.878502 0.507203i −0.00833784 0.999965i \(-0.502654\pi\)
−0.870164 + 0.492762i \(0.835987\pi\)
\(398\) −5.46820 21.8906i −0.274096 1.09728i
\(399\) −17.6294 16.2628i −0.882576 0.814156i
\(400\) 17.0503 25.3746i 0.852516 1.26873i
\(401\) 32.0937 + 18.5293i 1.60268 + 0.925309i 0.990948 + 0.134247i \(0.0428615\pi\)
0.611735 + 0.791063i \(0.290472\pi\)
\(402\) −0.0454128 + 0.0154473i −0.00226498 + 0.000770441i
\(403\) 2.04152 + 3.53601i 0.101695 + 0.176141i
\(404\) 0.454957 13.3662i 0.0226350 0.664992i
\(405\) 6.08275 31.4175i 0.302255 1.56115i
\(406\) 8.12983 + 5.36598i 0.403477 + 0.266309i
\(407\) 1.53087 0.0758825
\(408\) −7.06547 + 30.2102i −0.349793 + 1.49563i
\(409\) −14.5304 25.1675i −0.718484 1.24445i −0.961600 0.274453i \(-0.911503\pi\)
0.243117 0.969997i \(-0.421830\pi\)
\(410\) 36.6812 35.4539i 1.81156 1.75094i
\(411\) 12.8018 8.88448i 0.631469 0.438239i
\(412\) 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
\(416\) 0.794732 + 4.44977i 0.0389650 + 0.218168i
\(417\) −27.6475 + 2.30250i −1.35391 + 0.112754i
\(418\) −3.25967 0.933141i −0.159436 0.0456414i
\(419\) 1.27248i 0.0621647i 0.999517 + 0.0310823i \(0.00989541\pi\)
−0.999517 + 0.0310823i \(0.990105\pi\)
\(420\) −8.63188 31.4242i −0.421192 1.53334i
\(421\) 12.1006i 0.589749i 0.955536 + 0.294875i \(0.0952779\pi\)
−0.955536 + 0.294875i \(0.904722\pi\)
\(422\) −8.17044 + 28.5412i −0.397731 + 1.38936i
\(423\) −4.53256 + 12.1366i −0.220381 + 0.590102i
\(424\) 6.29260 + 2.03539i 0.305596 + 0.0988474i
\(425\) 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
\(429\) −0.361463 0.520841i −0.0174516 0.0251464i
\(430\) 12.4535 + 12.8846i 0.600562 + 0.621352i
\(431\) 8.36354 + 14.4861i 0.402858 + 0.697770i 0.994070 0.108746i \(-0.0346837\pi\)
−0.591212 + 0.806516i \(0.701350\pi\)
\(432\) 13.4662 + 15.8323i 0.647893 + 0.761731i
\(433\) −14.1708 −0.681007 −0.340503 0.940243i \(-0.610597\pi\)
−0.340503 + 0.940243i \(0.610597\pi\)
\(434\) 19.0849 + 1.14261i 0.916104 + 0.0548472i
\(435\) −6.83661 + 14.5027i −0.327790 + 0.695349i
\(436\) 1.12648 + 0.0383430i 0.0539485 + 0.00183630i
\(437\) 8.11535 + 14.0562i 0.388210 + 0.672399i
\(438\) −19.2790 + 6.55780i −0.921185 + 0.313344i
\(439\) −22.3364 12.8959i −1.06606 0.615489i −0.138957 0.990298i \(-0.544375\pi\)
−0.927102 + 0.374809i \(0.877708\pi\)
\(440\) −3.08708 3.41944i −0.147171 0.163016i
\(441\) −18.9729 9.00158i −0.903472 0.428646i
\(442\) −6.94326 + 1.73440i −0.330257 + 0.0824971i
\(443\) −30.3993 17.5510i −1.44431 0.833875i −0.446181 0.894943i \(-0.647216\pi\)
−0.998134 + 0.0610673i \(0.980550\pi\)
\(444\) −6.27323 9.72999i −0.297714 0.461765i
\(445\) −24.9675 + 14.4150i −1.18357 + 0.683336i
\(446\) −9.58616 2.74421i −0.453918 0.129942i
\(447\) 4.93864 10.4765i 0.233590 0.495519i
\(448\) 19.4399 + 8.37209i 0.918447 + 0.395544i
\(449\) 13.8891i 0.655467i −0.944770 0.327733i \(-0.893715\pi\)
0.944770 0.327733i \(-0.106285\pi\)
\(450\) 29.7255 12.9537i 1.40127 0.610644i
\(451\) −2.32361 4.02462i −0.109415 0.189512i
\(452\) 1.49715 2.40065i 0.0704201 0.112917i
\(453\) −6.01825 + 4.17667i −0.282762 + 0.196237i
\(454\) −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 \(0.110194\pi\)
\(458\) −22.3625 + 21.6143i −1.04493 + 1.00997i
\(459\) −23.5588 + 22.9756i −1.09963 + 1.07241i
\(460\) −0.750191 + 22.0398i −0.0349778 + 1.02761i
\(461\) 17.6339 0.821292 0.410646 0.911795i \(-0.365303\pi\)
0.410646 + 0.911795i \(0.365303\pi\)
\(462\) −2.96785 + 0.0691334i −0.138077 + 0.00321638i
\(463\) 29.5192i 1.37187i 0.727661 + 0.685937i \(0.240607\pi\)
−0.727661 + 0.685937i \(0.759393\pi\)
\(464\) −4.58153 9.35163i −0.212692 0.434138i
\(465\) 2.61171 + 31.3605i 0.121115 + 1.45431i
\(466\) 17.7771 17.1823i 0.823508 0.795955i
\(467\) 26.4319 + 15.2605i 1.22312 + 0.706170i 0.965582 0.260098i \(-0.0837549\pi\)
0.257539 + 0.966268i \(0.417088\pi\)
\(468\) −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
\(471\) 32.7600 22.7355i 1.50950 1.04759i
\(472\) 1.50510 4.65314i 0.0692777 0.214178i
\(473\) 1.41368 0.816191i 0.0650013 0.0375285i
\(474\) −20.2805 + 23.1547i −0.931513 + 1.06353i
\(475\) 40.0015 1.83540
\(476\) −11.1317 + 31.6084i −0.510219 + 1.44877i
\(477\) 4.46396 + 5.41112i 0.204391 + 0.247758i
\(478\) 2.57091 8.98079i 0.117591 0.410772i
\(479\) 0.0969618 + 0.167943i 0.00443030 + 0.00767350i 0.868232 0.496158i \(-0.165256\pi\)
−0.863802 + 0.503832i \(0.831923\pi\)
\(480\) −9.08319 + 33.6333i −0.414589 + 1.53514i
\(481\) 1.33523 2.31268i 0.0608811 0.105449i
\(482\) 14.4878 3.61899i 0.659900 0.164841i
\(483\) 10.4453 + 9.63553i 0.475276 + 0.438432i
\(484\) 19.0454 10.1482i 0.865699 0.461280i
\(485\) 12.5396 21.7193i 0.569395 0.986221i
\(486\) 3.00274 + 21.8400i 0.136207 + 0.990680i
\(487\) −17.4486 + 10.0740i −0.790673 + 0.456496i −0.840200 0.542277i \(-0.817562\pi\)
0.0495261 + 0.998773i \(0.484229\pi\)
\(488\) −14.7180 + 3.14875i −0.666251 + 0.142537i
\(489\) 15.3631 32.5900i 0.694742 1.47377i
\(490\) −5.58058 34.7541i −0.252105 1.57003i
\(491\) 4.30244i 0.194167i −0.995276 0.0970833i \(-0.969049\pi\)
0.995276 0.0970833i \(-0.0309513\pi\)
\(492\) −16.0581 + 31.2607i −0.723956 + 1.40934i
\(493\) 14.2785 8.24371i 0.643073 0.371278i
\(494\) −4.25278 + 4.11048i −0.191342 + 0.184939i
\(495\) −0.808253 4.81894i −0.0363283 0.216595i
\(496\) −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 \(0.968605\pi\)
\(500\) 15.9464 + 9.94489i 0.713145 + 0.444749i
\(501\) 13.0130 1.08373i 0.581377 0.0484173i
\(502\) 9.06375 + 2.59466i 0.404535 + 0.115805i
\(503\) 22.7182 1.01295 0.506476 0.862254i \(-0.330948\pi\)
0.506476 + 0.862254i \(0.330948\pi\)
\(504\) 12.6011 + 18.5799i 0.561297 + 0.827614i
\(505\) 23.7766 1.05804
\(506\) 1.93132 + 0.552877i 0.0858578 + 0.0245784i
\(507\) 21.3369 1.77694i 0.947604 0.0789169i
\(508\) −16.6205 + 26.6507i −0.737417 + 1.18243i
\(509\) −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
\(513\) −7.36760 + 26.1793i −0.325288 + 1.15585i
\(514\) −1.04249 + 1.00761i −0.0459821 + 0.0444436i
\(515\) −19.5117 + 11.2651i −0.859790 + 0.496400i
\(516\) −10.9806 5.64057i −0.483395 0.248312i
\(517\) 1.97817i 0.0869997i
\(518\) −5.59391 11.1836i −0.245782 0.491377i
\(519\) 11.4860 24.3654i 0.504177 1.06952i
\(520\) −7.85829 + 1.68120i −0.344609 + 0.0737254i
\(521\) −4.25083 + 2.45422i −0.186232 + 0.107521i −0.590218 0.807244i \(-0.700958\pi\)
0.403985 + 0.914765i \(0.367625\pi\)
\(522\) 1.24145 10.9753i 0.0543369 0.480377i
\(523\) 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
\(525\) 33.4373 10.4204i 1.45932 0.454784i
\(526\) 23.6050 5.89645i 1.02923 0.257098i
\(527\) 16.1802 28.0249i 0.704821 1.22079i
\(528\) 2.77199 + 1.54530i 0.120635 + 0.0672505i
\(529\) 6.69173 + 11.5904i 0.290945 + 0.503931i
\(530\) −3.23592 + 11.3038i −0.140559 + 0.491006i
\(531\) 4.00132 3.30093i 0.173642 0.143248i
\(532\) 5.09414 + 27.2228i 0.220859 + 1.18026i
\(533\) −8.10662 −0.351137
\(534\) 13.0859 14.9404i 0.566280 0.646535i
\(535\) 11.0112 6.35733i 0.476057 0.274852i
\(536\) 0.0527005 + 0.0170464i 0.00227631 + 0.000736292i
\(537\) 12.8361 8.90822i 0.553917 0.384418i
\(538\) 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 0.332481 0.943110i \(-0.392114\pi\)
−0.650517 + 0.759492i \(0.725448\pi\)
\(542\) 18.4458 17.8286i 0.792316 0.765806i
\(543\) −1.49557 17.9582i −0.0641810 0.770662i
\(544\) 27.3927 23.0883i 1.17445 0.989904i
\(545\) 2.00385i 0.0858353i
\(546\) −2.48412 + 4.54381i −0.106310 + 0.194457i
\(547\) −0.501652 −0.0214491 −0.0107245 0.999942i \(-0.503414\pi\)
−0.0107245 + 0.999942i \(0.503414\pi\)
\(548\) −17.9830 0.612103i −0.768194 0.0261478i
\(549\) −14.9551 5.58516i −0.638269 0.238369i
\(550\) 3.55998 3.44086i 0.151798 0.146719i
\(551\) 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
\(555\) 16.9089 11.7347i 0.717741 0.498112i
\(556\) 27.1823 + 16.9521i 1.15279 + 0.718928i
\(557\) −8.85048 15.3295i −0.375007 0.649531i 0.615321 0.788277i \(-0.289026\pi\)
−0.990328 + 0.138745i \(0.955693\pi\)
\(558\) −8.66061 19.8739i −0.366633 0.841329i
\(559\) 2.84753i 0.120438i
\(560\) −13.6998 + 35.0471i −0.578924 + 1.48101i
\(561\) −2.14252 + 4.54498i −0.0904572 + 0.191889i
\(562\) −24.3516 6.97110i −1.02721 0.294058i
\(563\) 0.214083 0.123601i 0.00902251 0.00520915i −0.495482 0.868618i \(-0.665009\pi\)
0.504504 + 0.863409i \(0.331675\pi\)
\(564\) 12.5729 8.10617i 0.529416 0.341331i
\(565\) 4.35603 + 2.51495i 0.183260 + 0.105805i
\(566\) 6.15456 1.53739i 0.258696 0.0646212i
\(567\) 0.661144 + 23.8026i 0.0277654 + 0.999614i
\(568\) −18.9793 + 17.1345i −0.796353 + 0.718949i
\(569\) 22.8950 + 13.2184i 0.959809 + 0.554146i 0.896114 0.443824i \(-0.146378\pi\)
0.0636947 + 0.997969i \(0.479712\pi\)
\(570\) −43.1568 + 14.6799i −1.80764 + 0.614874i
\(571\) −16.4357 28.4675i −0.687814 1.19133i −0.972544 0.232721i \(-0.925237\pi\)
0.284730 0.958608i \(-0.408096\pi\)
\(572\) −0.0249033 + 0.731634i −0.00104126 + 0.0305912i
\(573\) −10.8395 + 22.9941i −0.452826 + 0.960591i
\(574\) −20.9106 + 31.6810i −0.872792 + 1.32234i
\(575\) −23.7005 −0.988380
\(576\) −1.53742 23.9507i −0.0640590 0.997946i
\(577\) 13.3055 + 23.0459i 0.553917 + 0.959413i 0.997987 + 0.0634205i \(0.0202009\pi\)
−0.444070 + 0.895992i \(0.646466\pi\)
\(578\) 22.7108 + 23.4970i 0.944646 + 0.977347i
\(579\) 15.9302 + 22.9542i 0.662036 + 0.953943i
\(580\) 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
\(584\) 22.3728 + 7.23666i 0.925793 + 0.299455i
\(585\) −7.98492 2.98206i −0.330136 0.123293i
\(586\) 9.64116 33.6788i 0.398273 1.39126i
\(587\) 23.5447i 0.971792i 0.874017 + 0.485896i \(0.161507\pi\)
−0.874017 + 0.485896i \(0.838493\pi\)
\(588\) 11.3498 + 21.4286i 0.468056 + 0.883699i
\(589\) 26.7442i 1.10198i
\(590\) 8.35874 + 2.39284i 0.344124 + 0.0985118i
\(591\) 37.8838 3.15498i 1.55833 0.129779i
\(592\) −0.908981 + 13.3370i −0.0373589 + 0.548147i
\(593\) −4.37266 2.52456i −0.179564 0.103671i 0.407524 0.913195i \(-0.366392\pi\)
−0.587088 + 0.809523i \(0.699726\pi\)
\(594\) 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
\(597\) −22.7027 + 15.7556i −0.929159 + 0.644836i
\(598\) 2.51973 2.43542i 0.103039 0.0995919i
\(599\) −7.88687 13.6605i −0.322249 0.558151i 0.658703 0.752403i \(-0.271105\pi\)
−0.980952 + 0.194252i \(0.937772\pi\)
\(600\) −36.4578 8.52665i −1.48838 0.348099i
\(601\) −3.65359 −0.149033 −0.0745165 0.997220i \(-0.523741\pi\)
−0.0745165 + 0.997220i \(0.523741\pi\)
\(602\) −11.1283 7.34505i −0.453554 0.299362i
\(603\) 0.0373856 + 0.0453181i 0.00152246 + 0.00184550i
\(604\) 8.45394 + 0.287755i 0.343986 + 0.0117086i
\(605\) 19.1831 + 33.2261i 0.779904 + 1.35083i
\(606\) −15.5071 + 5.27478i −0.629932 + 0.214273i
\(607\) 40.3527 + 23.2976i 1.63786 + 0.945622i 0.981567 + 0.191120i \(0.0612118\pi\)
0.656298 + 0.754502i \(0.272122\pi\)
\(608\) 10.0650 27.8443i 0.408191 1.12923i
\(609\) 2.62097 11.6388i 0.106207 0.471629i
\(610\) −6.48483 25.9605i −0.262563 1.05111i
\(611\) 2.98841 + 1.72536i 0.120898 + 0.0698005i
\(612\) 37.6669 5.00695i 1.52259 0.202394i
\(613\) −18.5964 + 10.7366i −0.751102 + 0.433649i −0.826092 0.563536i \(-0.809441\pi\)
0.0749902 + 0.997184i \(0.476107\pi\)
\(614\) −3.00544 + 10.4987i −0.121290 + 0.423692i
\(615\) −56.5152 26.6415i −2.27891 1.07429i
\(616\) 2.79502 + 1.98453i 0.112615 + 0.0799592i
\(617\) 23.7350i 0.955536i 0.878486 + 0.477768i \(0.158554\pi\)
−0.878486 + 0.477768i \(0.841446\pi\)
\(618\) 10.2264 11.6757i 0.411367 0.469667i
\(619\) −10.3184 17.8719i −0.414730 0.718334i 0.580670 0.814139i \(-0.302791\pi\)
−0.995400 + 0.0958052i \(0.969457\pi\)
\(620\) 19.2287 30.8328i 0.772242 1.23827i
\(621\) 4.36524 15.5110i 0.175171 0.622435i
\(622\) 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
\(626\) −16.7968 17.3783i −0.671336 0.694576i
\(627\) 0.344639 + 4.13830i 0.0137636 + 0.165268i
\(628\) −46.0186 1.56638i −1.83634 0.0625053i
\(629\) −21.1649 −0.843899
\(630\) −32.2507 + 23.5133i −1.28490 + 0.936794i
\(631\) 1.83946i 0.0732279i −0.999329 0.0366139i \(-0.988343\pi\)
0.999329 0.0366139i \(-0.0116572\pi\)
\(632\) 34.7557 7.43562i 1.38251 0.295773i
\(633\) 36.2343 3.01761i 1.44019 0.119939i
\(634\) −15.0780 15.6000i −0.598825 0.619555i
\(635\) −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
\(639\) −26.7471 + 4.48613i −1.05810 + 0.177468i
\(640\) 31.6233 24.8644i 1.25002 0.982851i
\(641\) 21.1148 12.1906i 0.833983 0.481500i −0.0212316 0.999775i \(-0.506759\pi\)
0.855214 + 0.518274i \(0.173425\pi\)
\(642\) −5.77116 + 6.58907i −0.227769 + 0.260050i
\(643\) −7.88201 −0.310836 −0.155418 0.987849i \(-0.549672\pi\)
−0.155418 + 0.987849i \(0.549672\pi\)
\(644\) −3.01823 16.1293i −0.118935 0.635582i
\(645\) 9.35808 19.8515i 0.368474 0.781652i
\(646\) 45.0662 + 12.9010i 1.77311 + 0.507584i
\(647\) −2.44506 4.23496i −0.0961251 0.166494i 0.813953 0.580931i \(-0.197312\pi\)
−0.910078 + 0.414438i \(0.863978\pi\)
\(648\) 12.2952 22.2896i 0.483003 0.875619i
\(649\) 0.396017 0.685921i 0.0155450 0.0269247i
\(650\) −2.09308 8.37916i −0.0820975 0.328658i
\(651\) −6.96689 22.3555i −0.273054 0.876182i
\(652\) −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 \(-0.147880\pi\)
\(654\) −0.444549 1.30691i −0.0173832 0.0511041i
\(655\) −4.14651 + 2.39399i −0.162018 + 0.0935410i
\(656\) 36.4422 17.8537i 1.42283 0.697070i
\(657\) 15.8712 + 19.2388i 0.619195 + 0.750576i
\(658\) 14.4512 7.22836i 0.563367 0.281791i
\(659\) 33.4550i 1.30322i −0.758553 0.651611i \(-0.774093\pi\)
0.758553 0.651611i \(-0.225907\pi\)
\(660\) −2.57804 + 5.01873i −0.100350 + 0.195354i
\(661\) −11.2595 + 6.50067i −0.437944 + 0.252847i −0.702725 0.711462i \(-0.748034\pi\)
0.264781 + 0.964308i \(0.414700\pi\)
\(662\) −13.4874 13.9543i −0.524204 0.542350i
\(663\) 4.99737 + 7.20082i 0.194082 + 0.279657i
\(664\) −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
\(668\) −12.7940 7.97890i −0.495015 0.308713i
\(669\) 1.01353 + 12.1701i 0.0391853 + 0.470522i
\(670\) −0.0271008 + 0.0946693i −0.00104700 + 0.00365739i
\(671\) −2.43756 −0.0941009
\(672\) 1.15992 25.8970i 0.0447448 0.998998i
\(673\) −12.3531 −0.476179 −0.238089 0.971243i \(-0.576521\pi\)
−0.238089 + 0.971243i \(0.576521\pi\)
\(674\) 6.12376 21.3917i 0.235878 0.823977i
\(675\) −27.7270 28.4309i −1.06721 1.09431i
\(676\) −20.9778 13.0827i −0.806840 0.503181i
\(677\) 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
\(681\) −29.5231 + 20.4890i −1.13133 + 0.785140i
\(682\) −2.30050 2.38013i −0.0880905 0.0911400i
\(683\) 11.5310 6.65741i 0.441221 0.254739i −0.262895 0.964825i \(-0.584677\pi\)
0.704115 + 0.710086i \(0.251344\pi\)
\(684\) 24.8902 19.1485i 0.951699 0.732161i
\(685\) 31.9892i 1.22224i
\(686\) 9.67187 + 24.3404i 0.369274 + 0.929321i
\(687\) 34.4542 + 16.2419i 1.31451 + 0.619665i
\(688\) 6.27128 + 12.8007i 0.239090 + 0.488022i
\(689\) 1.61810 0.934208i 0.0616445 0.0355905i
\(690\) 25.5700 8.69772i 0.973434 0.331116i
\(691\) 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
\(693\) 1.36611 + 3.36943i 0.0518944 + 0.127994i
\(694\) −7.33338 29.3575i −0.278371 1.11439i
\(695\) −28.4765 + 49.3228i −1.08018 + 1.87092i
\(696\) −8.72482 + 9.30283i −0.330713 + 0.352623i
\(697\) 32.1248 + 55.6418i 1.21681 + 2.10758i
\(698\) −21.3819 6.12096i −0.809317 0.231682i
\(699\) −27.3894 12.9115i −1.03596 0.488357i
\(700\) −38.1451 13.4337i −1.44175 0.507748i
\(701\) −51.6538 −1.95094 −0.975468 0.220142i \(-0.929348\pi\)
−0.975468 + 0.220142i \(0.929348\pi\)
\(702\) 5.86932 + 0.173464i 0.221523 + 0.00654698i
\(703\) −15.1483 + 8.74585i −0.571327 + 0.329856i
\(704\) −1.49937 3.34381i −0.0565096 0.126024i
\(705\) 15.1635 + 21.8494i 0.571089 + 0.822895i
\(706\) −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 \(0.0901719\pi\)
0.722134 + 0.691753i \(0.243161\pi\)
\(710\) −31.5925 32.6861i −1.18565 1.22669i
\(711\) 35.3158 + 13.1891i 1.32445 + 0.494630i
\(712\) −22.4259 + 4.79779i −0.840447 + 0.179805i
\(713\) 15.8457i 0.593427i
\(714\) 41.0316 0.955796i 1.53557 0.0357698i
\(715\) −1.30147 −0.0486724
\(716\) −18.0310 0.613739i −0.673851 0.0229365i
\(717\) −11.4015 + 0.949523i −0.425797 + 0.0354606i
\(718\) −20.1757 20.8741i −0.752949 0.779014i
\(719\) −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
\(723\) −10.4275 15.0252i −0.387802 0.558794i
\(724\) −11.0111 + 17.6560i −0.409224 + 0.656182i
\(725\) 9.94856 + 17.2314i 0.369480 + 0.639958i
\(726\) −19.8823 17.4143i −0.737903 0.646306i
\(727\) 15.9886i 0.592984i −0.955035 0.296492i \(-0.904183\pi\)
0.955035 0.296492i \(-0.0958167\pi\)
\(728\) 5.43585 2.49151i 0.201466 0.0923417i
\(729\) 23.7137 12.9097i 0.878285 0.478137i
\(730\) −11.5050 + 40.1897i −0.425821 + 1.48749i
\(731\) −19.5447 + 11.2842i −0.722888 + 0.417359i
\(732\) 9.98868 + 15.4928i 0.369192 + 0.572629i
\(733\) −10.1169 5.84098i −0.373675 0.215741i 0.301388 0.953502i \(-0.402550\pi\)
−0.675063 + 0.737760i \(0.735883\pi\)
\(734\) 7.88701 + 31.5738i 0.291115 + 1.16541i
\(735\) −37.3879 + 21.4623i −1.37907 + 0.791647i
\(736\) −5.96344 + 16.4975i −0.219815 + 0.608105i
\(737\) 0.00776859 + 0.00448520i 0.000286160 + 0.000165214i
\(738\) 42.7696 + 4.83780i 1.57437 + 0.178082i
\(739\) 8.47946 + 14.6869i 0.311922 + 0.540265i 0.978778 0.204922i \(-0.0656939\pi\)
−0.666857 + 0.745186i \(0.732361\pi\)
\(740\) −23.7522 0.808475i −0.873147 0.0297201i
\(741\) 6.55231 + 3.08878i 0.240705 + 0.113469i
\(742\) 0.522866 8.73333i 0.0191950 0.320611i
\(743\) 14.5437 0.533558 0.266779 0.963758i \(-0.414041\pi\)
0.266779 + 0.963758i \(0.414041\pi\)
\(744\) −5.70075 + 24.3750i −0.209000 + 0.893629i
\(745\) −11.8883 20.5911i −0.435553 0.754400i
\(746\) −25.4373 + 24.5862i −0.931326 + 0.900165i
\(747\) −0.344393 2.05333i −0.0126007 0.0751274i
\(748\) 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 0.319117 0.947715i \(-0.396614\pi\)
−0.661187 + 0.750221i \(0.729947\pi\)
\(752\) −17.2338 1.17457i −0.628454 0.0428322i
\(753\) −0.958294 11.5068i −0.0349222 0.419333i
\(754\) −2.82835 0.809668i −0.103003 0.0294864i
\(755\) 15.0384i 0.547303i
\(756\) 15.8175 22.4901i 0.575277 0.817958i
\(757\) 13.5121i 0.491105i 0.969383 + 0.245552i \(0.0789694\pi\)
−0.969383 + 0.245552i \(0.921031\pi\)
\(758\) 4.56954 15.9624i 0.165973 0.579782i
\(759\) −0.204196 2.45190i −0.00741183 0.0889985i
\(760\) 50.0825 + 16.1996i 1.81668 + 0.587621i
\(761\) −22.5165 12.9999i −0.816221 0.471245i 0.0328907 0.999459i \(-0.489529\pi\)
−0.849111 + 0.528214i \(0.822862\pi\)
\(762\) 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
\(765\) 11.1744 + 66.6237i 0.404011 + 2.40879i
\(766\) −17.5585 18.1663i −0.634415 0.656376i
\(767\) −0.690812 1.19652i −0.0249438 0.0432039i
\(768\) −15.1086 + 23.2321i −0.545185 + 0.838316i
\(769\) 3.84206 0.138548 0.0692741 0.997598i \(-0.477932\pi\)
0.0692741 + 0.997598i \(0.477932\pi\)
\(770\) −3.35708 + 5.08622i −0.120981 + 0.183295i
\(771\) 1.60617 + 0.757155i 0.0578449 + 0.0272683i
\(772\) 1.09752 32.2441i 0.0395007 1.16049i
\(773\) 18.3710 + 31.8195i