Properties

Label 322.2.k.a.97.6
Level $322$
Weight $2$
Character 322.97
Analytic conductor $2.571$
Analytic rank $0$
Dimension $80$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 322 = 2 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 322.k (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.57118294509\)
Analytic rank: \(0\)
Dimension: \(80\)
Relative dimension: \(8\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 97.6
Character \(\chi\) \(=\) 322.97
Dual form 322.2.k.a.83.6

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.959493 - 0.281733i) q^{2} +(0.749737 + 0.649651i) q^{3} +(0.841254 + 0.540641i) q^{4} +(0.540672 - 3.76045i) q^{5} +(-0.536339 - 0.834560i) q^{6} +(-2.00073 + 1.73120i) q^{7} +(-0.654861 - 0.755750i) q^{8} +(-0.286885 - 1.99533i) q^{9} +O(q^{10})\) \(q+(-0.959493 - 0.281733i) q^{2} +(0.749737 + 0.649651i) q^{3} +(0.841254 + 0.540641i) q^{4} +(0.540672 - 3.76045i) q^{5} +(-0.536339 - 0.834560i) q^{6} +(-2.00073 + 1.73120i) q^{7} +(-0.654861 - 0.755750i) q^{8} +(-0.286885 - 1.99533i) q^{9} +(-1.57821 + 3.45580i) q^{10} +(-1.64274 - 5.59467i) q^{11} +(0.279491 + 0.951859i) q^{12} +(-0.519511 - 0.237253i) q^{13} +(2.40743 - 1.09741i) q^{14} +(2.84834 - 2.46810i) q^{15} +(0.415415 + 0.909632i) q^{16} +(-5.39933 + 3.46994i) q^{17} +(-0.286885 + 1.99533i) q^{18} +(5.54487 + 3.56347i) q^{19} +(2.48790 - 2.87119i) q^{20} +(-2.62470 - 0.00183025i) q^{21} +5.83086i q^{22} +(2.13861 - 4.29259i) q^{23} -0.992044i q^{24} +(-9.05123 - 2.65768i) q^{25} +(0.431625 + 0.374005i) q^{26} +(2.69020 - 4.18603i) q^{27} +(-2.61908 + 0.374703i) q^{28} +(0.651180 - 0.418488i) q^{29} +(-3.42831 + 1.56566i) q^{30} +(5.47959 - 4.74809i) q^{31} +(-0.142315 - 0.989821i) q^{32} +(2.40296 - 5.26174i) q^{33} +(6.15821 - 1.80821i) q^{34} +(5.42837 + 8.45968i) q^{35} +(0.837414 - 1.83368i) q^{36} +(-0.936384 + 0.134632i) q^{37} +(-4.31632 - 4.98130i) q^{38} +(-0.235365 - 0.515378i) q^{39} +(-3.19603 + 2.05396i) q^{40} +(2.88712 + 0.415106i) q^{41} +(2.51787 + 0.741220i) q^{42} +(1.26976 + 1.10026i) q^{43} +(1.64274 - 5.59467i) q^{44} -7.65846 q^{45} +(-3.26135 + 3.51619i) q^{46} -1.08354i q^{47} +(-0.279491 + 0.951859i) q^{48} +(1.00587 - 6.92735i) q^{49} +(7.93583 + 5.10005i) q^{50} +(-6.30232 - 0.906137i) q^{51} +(-0.308772 - 0.480458i) q^{52} +(-3.78510 + 1.72860i) q^{53} +(-3.76057 + 3.25855i) q^{54} +(-21.9267 + 3.15258i) q^{55} +(2.61856 + 0.378356i) q^{56} +(1.84218 + 6.27390i) q^{57} +(-0.742704 + 0.218078i) q^{58} +(8.99370 + 4.10728i) q^{59} +(3.73054 - 0.536370i) q^{60} +(4.78826 + 5.52594i) q^{61} +(-6.59532 + 3.01198i) q^{62} +(4.02830 + 3.49547i) q^{63} +(-0.142315 + 0.989821i) q^{64} +(-1.17306 + 1.82532i) q^{65} +(-3.78802 + 4.37161i) q^{66} +(-1.75843 + 5.98865i) q^{67} -6.41820 q^{68} +(4.39208 - 1.82896i) q^{69} +(-2.82512 - 9.64635i) q^{70} +(9.07120 + 2.66355i) q^{71} +(-1.32010 + 1.52348i) q^{72} +(2.13132 - 3.31639i) q^{73} +(0.936384 + 0.134632i) q^{74} +(-5.05947 - 7.87269i) q^{75} +(2.73808 + 5.99557i) q^{76} +(12.9722 + 8.34952i) q^{77} +(0.0806325 + 0.560811i) q^{78} +(-3.57898 - 1.63447i) q^{79} +(3.64523 - 1.07034i) q^{80} +(-1.06618 + 0.313059i) q^{81} +(-2.65323 - 1.21169i) q^{82} +(1.38547 + 9.63617i) q^{83} +(-2.20705 - 1.42056i) q^{84} +(10.1293 + 22.1800i) q^{85} +(-0.908352 - 1.41342i) q^{86} +(0.760085 + 0.109284i) q^{87} +(-3.15240 + 4.90524i) q^{88} +(-5.73933 + 6.62354i) q^{89} +(7.34824 + 2.15764i) q^{90} +(1.45014 - 0.424700i) q^{91} +(4.11987 - 2.45494i) q^{92} +7.19285 q^{93} +(-0.305267 + 1.03964i) q^{94} +(16.3982 - 18.9246i) q^{95} +(0.536339 - 0.834560i) q^{96} +(0.176073 - 1.22462i) q^{97} +(-2.91678 + 6.36336i) q^{98} +(-10.6919 + 4.88285i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 80q - 8q^{2} - 8q^{4} - 11q^{7} - 8q^{8} - 6q^{9} + O(q^{10}) \) \( 80q - 8q^{2} - 8q^{4} - 11q^{7} - 8q^{8} - 6q^{9} + 11q^{14} - 8q^{16} - 6q^{18} - 33q^{21} + 18q^{23} - 58q^{25} - 11q^{28} + 16q^{29} + 22q^{30} - 8q^{32} + 47q^{35} + 16q^{36} - 22q^{37} - 30q^{39} - 22q^{42} + 44q^{43} - 4q^{46} + 17q^{49} + 8q^{50} - 88q^{51} + 44q^{53} + 11q^{56} - 22q^{57} - 28q^{58} + 121q^{63} - 8q^{64} - 154q^{65} + 58q^{70} + 42q^{71} - 28q^{72} + 22q^{74} + 38q^{77} + 58q^{78} - 88q^{79} - 26q^{81} - 11q^{84} + 26q^{85} - 132q^{86} + 22q^{88} - 4q^{92} + 152q^{93} - 68q^{95} - 27q^{98} - 44q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/322\mathbb{Z}\right)^\times\).

\(n\) \(185\) \(281\)
\(\chi(n)\) \(-1\) \(e\left(\frac{1}{22}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.959493 0.281733i −0.678464 0.199215i
\(3\) 0.749737 + 0.649651i 0.432861 + 0.375076i 0.843863 0.536558i \(-0.180276\pi\)
−0.411003 + 0.911634i \(0.634821\pi\)
\(4\) 0.841254 + 0.540641i 0.420627 + 0.270320i
\(5\) 0.540672 3.76045i 0.241796 1.68173i −0.401305 0.915945i \(-0.631443\pi\)
0.643101 0.765782i \(-0.277648\pi\)
\(6\) −0.536339 0.834560i −0.218960 0.340708i
\(7\) −2.00073 + 1.73120i −0.756206 + 0.654334i
\(8\) −0.654861 0.755750i −0.231528 0.267198i
\(9\) −0.286885 1.99533i −0.0956284 0.665110i
\(10\) −1.57821 + 3.45580i −0.499075 + 1.09282i
\(11\) −1.64274 5.59467i −0.495306 1.68686i −0.705097 0.709111i \(-0.749096\pi\)
0.209791 0.977746i \(-0.432722\pi\)
\(12\) 0.279491 + 0.951859i 0.0806821 + 0.274778i
\(13\) −0.519511 0.237253i −0.144086 0.0658021i 0.342067 0.939676i \(-0.388873\pi\)
−0.486153 + 0.873874i \(0.661600\pi\)
\(14\) 2.40743 1.09741i 0.643412 0.293294i
\(15\) 2.84834 2.46810i 0.735439 0.637261i
\(16\) 0.415415 + 0.909632i 0.103854 + 0.227408i
\(17\) −5.39933 + 3.46994i −1.30953 + 0.841584i −0.994215 0.107404i \(-0.965746\pi\)
−0.315314 + 0.948987i \(0.602110\pi\)
\(18\) −0.286885 + 1.99533i −0.0676195 + 0.470304i
\(19\) 5.54487 + 3.56347i 1.27208 + 0.817517i 0.989889 0.141841i \(-0.0453022\pi\)
0.282192 + 0.959358i \(0.408939\pi\)
\(20\) 2.48790 2.87119i 0.556311 0.642017i
\(21\) −2.62470 0.00183025i −0.572757 0.000399393i
\(22\) 5.83086i 1.24314i
\(23\) 2.13861 4.29259i 0.445932 0.895067i
\(24\) 0.992044i 0.202500i
\(25\) −9.05123 2.65768i −1.81025 0.531536i
\(26\) 0.431625 + 0.374005i 0.0846487 + 0.0733485i
\(27\) 2.69020 4.18603i 0.517729 0.805602i
\(28\) −2.61908 + 0.374703i −0.494960 + 0.0708123i
\(29\) 0.651180 0.418488i 0.120921 0.0777113i −0.478782 0.877934i \(-0.658922\pi\)
0.599703 + 0.800222i \(0.295285\pi\)
\(30\) −3.42831 + 1.56566i −0.625921 + 0.285848i
\(31\) 5.47959 4.74809i 0.984163 0.852782i −0.00494283 0.999988i \(-0.501573\pi\)
0.989106 + 0.147206i \(0.0470279\pi\)
\(32\) −0.142315 0.989821i −0.0251579 0.174977i
\(33\) 2.40296 5.26174i 0.418301 0.915952i
\(34\) 6.15821 1.80821i 1.05612 0.310106i
\(35\) 5.42837 + 8.45968i 0.917563 + 1.42995i
\(36\) 0.837414 1.83368i 0.139569 0.305613i
\(37\) −0.936384 + 0.134632i −0.153941 + 0.0221333i −0.218854 0.975758i \(-0.570232\pi\)
0.0649136 + 0.997891i \(0.479323\pi\)
\(38\) −4.31632 4.98130i −0.700200 0.808073i
\(39\) −0.235365 0.515378i −0.0376886 0.0825265i
\(40\) −3.19603 + 2.05396i −0.505336 + 0.324760i
\(41\) 2.88712 + 0.415106i 0.450893 + 0.0648286i 0.364021 0.931391i \(-0.381404\pi\)
0.0868722 + 0.996219i \(0.472313\pi\)
\(42\) 2.51787 + 0.741220i 0.388515 + 0.114373i
\(43\) 1.26976 + 1.10026i 0.193637 + 0.167788i 0.746283 0.665628i \(-0.231836\pi\)
−0.552646 + 0.833416i \(0.686382\pi\)
\(44\) 1.64274 5.59467i 0.247653 0.843429i
\(45\) −7.65846 −1.14166
\(46\) −3.26135 + 3.51619i −0.480859 + 0.518435i
\(47\) 1.08354i 0.158050i −0.996873 0.0790249i \(-0.974819\pi\)
0.996873 0.0790249i \(-0.0251807\pi\)
\(48\) −0.279491 + 0.951859i −0.0403411 + 0.137389i
\(49\) 1.00587 6.92735i 0.143695 0.989622i
\(50\) 7.93583 + 5.10005i 1.12230 + 0.721256i
\(51\) −6.30232 0.906137i −0.882502 0.126885i
\(52\) −0.308772 0.480458i −0.0428190 0.0666276i
\(53\) −3.78510 + 1.72860i −0.519924 + 0.237441i −0.658051 0.752973i \(-0.728619\pi\)
0.138127 + 0.990414i \(0.455892\pi\)
\(54\) −3.76057 + 3.25855i −0.511748 + 0.443432i
\(55\) −21.9267 + 3.15258i −2.95660 + 0.425094i
\(56\) 2.61856 + 0.378356i 0.349920 + 0.0505599i
\(57\) 1.84218 + 6.27390i 0.244003 + 0.830998i
\(58\) −0.742704 + 0.218078i −0.0975219 + 0.0286350i
\(59\) 8.99370 + 4.10728i 1.17088 + 0.534723i 0.903382 0.428836i \(-0.141076\pi\)
0.267497 + 0.963559i \(0.413803\pi\)
\(60\) 3.73054 0.536370i 0.481610 0.0692451i
\(61\) 4.78826 + 5.52594i 0.613074 + 0.707525i 0.974376 0.224924i \(-0.0722134\pi\)
−0.361303 + 0.932449i \(0.617668\pi\)
\(62\) −6.59532 + 3.01198i −0.837606 + 0.382522i
\(63\) 4.02830 + 3.49547i 0.507519 + 0.440387i
\(64\) −0.142315 + 0.989821i −0.0177894 + 0.123728i
\(65\) −1.17306 + 1.82532i −0.145501 + 0.226403i
\(66\) −3.78802 + 4.37161i −0.466274 + 0.538108i
\(67\) −1.75843 + 5.98865i −0.214826 + 0.731630i 0.779608 + 0.626268i \(0.215418\pi\)
−0.994434 + 0.105362i \(0.966400\pi\)
\(68\) −6.41820 −0.778321
\(69\) 4.39208 1.82896i 0.528744 0.220181i
\(70\) −2.82512 9.64635i −0.337666 1.15296i
\(71\) 9.07120 + 2.66355i 1.07655 + 0.316105i 0.771499 0.636230i \(-0.219507\pi\)
0.305054 + 0.952335i \(0.401325\pi\)
\(72\) −1.32010 + 1.52348i −0.155575 + 0.179543i
\(73\) 2.13132 3.31639i 0.249452 0.388154i −0.693835 0.720134i \(-0.744080\pi\)
0.943286 + 0.331980i \(0.107717\pi\)
\(74\) 0.936384 + 0.134632i 0.108852 + 0.0156506i
\(75\) −5.05947 7.87269i −0.584218 0.909060i
\(76\) 2.73808 + 5.99557i 0.314080 + 0.687739i
\(77\) 12.9722 + 8.34952i 1.47832 + 0.951516i
\(78\) 0.0806325 + 0.560811i 0.00912983 + 0.0634994i
\(79\) −3.57898 1.63447i −0.402667 0.183892i 0.203778 0.979017i \(-0.434678\pi\)
−0.606445 + 0.795125i \(0.707405\pi\)
\(80\) 3.64523 1.07034i 0.407549 0.119667i
\(81\) −1.06618 + 0.313059i −0.118465 + 0.0347844i
\(82\) −2.65323 1.21169i −0.293000 0.133809i
\(83\) 1.38547 + 9.63617i 0.152075 + 1.05771i 0.912734 + 0.408555i \(0.133967\pi\)
−0.760659 + 0.649152i \(0.775124\pi\)
\(84\) −2.20705 1.42056i −0.240809 0.154996i
\(85\) 10.1293 + 22.1800i 1.09867 + 2.40576i
\(86\) −0.908352 1.41342i −0.0979501 0.152413i
\(87\) 0.760085 + 0.109284i 0.0814896 + 0.0117164i
\(88\) −3.15240 + 4.90524i −0.336047 + 0.522900i
\(89\) −5.73933 + 6.62354i −0.608368 + 0.702094i −0.973455 0.228880i \(-0.926494\pi\)
0.365087 + 0.930973i \(0.381039\pi\)
\(90\) 7.34824 + 2.15764i 0.774572 + 0.227435i
\(91\) 1.45014 0.424700i 0.152015 0.0445207i
\(92\) 4.11987 2.45494i 0.429526 0.255945i
\(93\) 7.19285 0.745864
\(94\) −0.305267 + 1.03964i −0.0314859 + 0.107231i
\(95\) 16.3982 18.9246i 1.68242 1.94162i
\(96\) 0.536339 0.834560i 0.0547399 0.0851770i
\(97\) 0.176073 1.22462i 0.0178775 0.124341i −0.978928 0.204204i \(-0.934539\pi\)
0.996806 + 0.0798634i \(0.0254484\pi\)
\(98\) −2.91678 + 6.36336i −0.294640 + 0.642797i
\(99\) −10.6919 + 4.88285i −1.07458 + 0.490745i
\(100\) −6.17753 7.12924i −0.617753 0.712924i
\(101\) 9.20282 1.32317i 0.915715 0.131660i 0.331683 0.943391i \(-0.392383\pi\)
0.584032 + 0.811731i \(0.301474\pi\)
\(102\) 5.79175 + 2.64500i 0.573468 + 0.261894i
\(103\) 0.244140 0.0716859i 0.0240558 0.00706342i −0.269683 0.962949i \(-0.586919\pi\)
0.293738 + 0.955886i \(0.405101\pi\)
\(104\) 0.160904 + 0.547988i 0.0157779 + 0.0537346i
\(105\) −1.42598 + 9.86908i −0.139162 + 0.963123i
\(106\) 4.11878 0.592191i 0.400051 0.0575187i
\(107\) −3.52608 + 3.05537i −0.340879 + 0.295374i −0.808430 0.588593i \(-0.799682\pi\)
0.467550 + 0.883966i \(0.345137\pi\)
\(108\) 4.52628 2.06708i 0.435541 0.198905i
\(109\) −7.11987 11.0787i −0.681959 1.06115i −0.993818 0.111021i \(-0.964588\pi\)
0.311859 0.950129i \(-0.399048\pi\)
\(110\) 21.9267 + 3.15258i 2.09063 + 0.300587i
\(111\) −0.789505 0.507384i −0.0749365 0.0481588i
\(112\) −2.40589 1.10076i −0.227336 0.104012i
\(113\) 2.45831 8.37225i 0.231259 0.787595i −0.759328 0.650708i \(-0.774472\pi\)
0.990587 0.136887i \(-0.0437097\pi\)
\(114\) 6.53876i 0.612411i
\(115\) −14.9858 10.3630i −1.39743 0.966358i
\(116\) 0.774059 0.0718696
\(117\) −0.324358 + 1.10466i −0.0299869 + 0.102126i
\(118\) −7.47223 6.47473i −0.687875 0.596047i
\(119\) 4.79545 16.2898i 0.439598 1.49328i
\(120\) −3.73054 0.536370i −0.340550 0.0489637i
\(121\) −19.3480 + 12.4342i −1.75891 + 1.13038i
\(122\) −3.03746 6.65111i −0.274999 0.602163i
\(123\) 1.89491 + 2.18684i 0.170858 + 0.197181i
\(124\) 7.17673 1.03186i 0.644490 0.0926636i
\(125\) −6.99676 + 15.3208i −0.625809 + 1.37033i
\(126\) −2.88034 4.48878i −0.256601 0.399892i
\(127\) 15.9487 4.68295i 1.41522 0.415545i 0.517335 0.855783i \(-0.326924\pi\)
0.897881 + 0.440238i \(0.145106\pi\)
\(128\) 0.415415 0.909632i 0.0367178 0.0804009i
\(129\) 0.237206 + 1.64981i 0.0208849 + 0.145257i
\(130\) 1.63980 1.42089i 0.143820 0.124621i
\(131\) −19.1014 + 8.72332i −1.66890 + 0.762160i −0.669078 + 0.743192i \(0.733311\pi\)
−0.999820 + 0.0189678i \(0.993962\pi\)
\(132\) 4.86621 3.12732i 0.423549 0.272198i
\(133\) −17.2629 + 2.46975i −1.49688 + 0.214154i
\(134\) 3.37439 5.25066i 0.291503 0.453588i
\(135\) −14.2869 12.3796i −1.22962 1.06547i
\(136\) 6.15821 + 1.80821i 0.528062 + 0.155053i
\(137\) 10.9514i 0.935642i 0.883823 + 0.467821i \(0.154961\pi\)
−0.883823 + 0.467821i \(0.845039\pi\)
\(138\) −4.72945 + 0.517484i −0.402597 + 0.0440512i
\(139\) 5.48475i 0.465211i −0.972571 0.232605i \(-0.925275\pi\)
0.972571 0.232605i \(-0.0747251\pi\)
\(140\) −0.00700911 + 10.0515i −0.000592378 + 0.849510i
\(141\) 0.703919 0.812366i 0.0592807 0.0684136i
\(142\) −7.95335 5.11131i −0.667430 0.428931i
\(143\) −0.473928 + 3.29624i −0.0396318 + 0.275645i
\(144\) 1.69584 1.08985i 0.141320 0.0908209i
\(145\) −1.22163 2.67500i −0.101451 0.222146i
\(146\) −2.97932 + 2.58159i −0.246570 + 0.213654i
\(147\) 5.25449 4.54023i 0.433383 0.374472i
\(148\) −0.860524 0.392988i −0.0707346 0.0323034i
\(149\) −2.92491 9.96133i −0.239618 0.816064i −0.988219 0.153044i \(-0.951092\pi\)
0.748601 0.663020i \(-0.230726\pi\)
\(150\) 2.63653 + 8.97921i 0.215272 + 0.733150i
\(151\) −1.79767 + 3.93635i −0.146293 + 0.320336i −0.968566 0.248757i \(-0.919978\pi\)
0.822274 + 0.569092i \(0.192705\pi\)
\(152\) −0.938026 6.52411i −0.0760840 0.529176i
\(153\) 8.47266 + 9.77797i 0.684974 + 0.790502i
\(154\) −10.0944 11.6660i −0.813431 0.940073i
\(155\) −14.8923 23.1729i −1.19618 1.86129i
\(156\) 0.0806325 0.560811i 0.00645576 0.0449008i
\(157\) 6.74262 + 4.33322i 0.538120 + 0.345828i 0.781303 0.624152i \(-0.214555\pi\)
−0.243183 + 0.969980i \(0.578192\pi\)
\(158\) 2.97353 + 2.57658i 0.236561 + 0.204981i
\(159\) −3.96081 1.16300i −0.314113 0.0922319i
\(160\) −3.79912 −0.300347
\(161\) 3.15256 + 12.2907i 0.248456 + 0.968643i
\(162\) 1.11119 0.0873036
\(163\) 17.3401 + 5.09151i 1.35818 + 0.398798i 0.878122 0.478437i \(-0.158797\pi\)
0.480060 + 0.877235i \(0.340615\pi\)
\(164\) 2.20438 + 1.91011i 0.172133 + 0.149154i
\(165\) −18.4873 11.8811i −1.43924 0.924941i
\(166\) 1.38547 9.63617i 0.107533 0.747912i
\(167\) −1.29283 2.01169i −0.100042 0.155669i 0.787624 0.616156i \(-0.211311\pi\)
−0.887666 + 0.460487i \(0.847675\pi\)
\(168\) 1.71743 + 1.98482i 0.132503 + 0.153132i
\(169\) −8.29959 9.57823i −0.638430 0.736787i
\(170\) −3.47014 24.1353i −0.266147 1.85110i
\(171\) 5.51957 12.0862i 0.422092 0.924252i
\(172\) 0.473350 + 1.61208i 0.0360926 + 0.122920i
\(173\) −6.07077 20.6751i −0.461552 1.57190i −0.781146 0.624348i \(-0.785365\pi\)
0.319594 0.947555i \(-0.396453\pi\)
\(174\) −0.698507 0.318998i −0.0529537 0.0241831i
\(175\) 22.7101 10.3522i 1.71672 0.782553i
\(176\) 4.40667 3.81840i 0.332165 0.287823i
\(177\) 4.07461 + 8.92214i 0.306266 + 0.670629i
\(178\) 7.37291 4.73828i 0.552623 0.355149i
\(179\) 0.150185 1.04456i 0.0112253 0.0780739i −0.983439 0.181241i \(-0.941989\pi\)
0.994664 + 0.103167i \(0.0328977\pi\)
\(180\) −6.44271 4.14048i −0.480211 0.308613i
\(181\) 14.9567 17.2609i 1.11172 1.28300i 0.156314 0.987707i \(-0.450039\pi\)
0.955408 0.295288i \(-0.0954157\pi\)
\(182\) −1.51105 0.00105368i −0.112006 7.81039e-5i
\(183\) 7.25370i 0.536209i
\(184\) −4.64462 + 1.19479i −0.342406 + 0.0880814i
\(185\) 3.59402i 0.264238i
\(186\) −6.90149 2.02646i −0.506042 0.148587i
\(187\) 28.2829 + 24.5073i 2.06825 + 1.79215i
\(188\) 0.585803 0.911528i 0.0427241 0.0664800i
\(189\) 1.86450 + 13.0324i 0.135623 + 0.947968i
\(190\) −21.0657 + 13.5381i −1.52826 + 0.982155i
\(191\) −1.10831 + 0.506148i −0.0801945 + 0.0366236i −0.455108 0.890436i \(-0.650400\pi\)
0.374914 + 0.927060i \(0.377672\pi\)
\(192\) −0.749737 + 0.649651i −0.0541076 + 0.0468845i
\(193\) −0.797611 5.54751i −0.0574133 0.399318i −0.998182 0.0602696i \(-0.980804\pi\)
0.940769 0.339049i \(-0.110105\pi\)
\(194\) −0.513955 + 1.12541i −0.0368999 + 0.0807994i
\(195\) −2.06531 + 0.606429i −0.147900 + 0.0434273i
\(196\) 4.59140 5.28385i 0.327957 0.377418i
\(197\) −3.19112 + 6.98757i −0.227358 + 0.497844i −0.988589 0.150636i \(-0.951868\pi\)
0.761231 + 0.648480i \(0.224595\pi\)
\(198\) 11.6345 1.67279i 0.826828 0.118880i
\(199\) 11.0064 + 12.7020i 0.780220 + 0.900422i 0.997125 0.0757703i \(-0.0241416\pi\)
−0.216905 + 0.976193i \(0.569596\pi\)
\(200\) 3.91875 + 8.58087i 0.277098 + 0.606759i
\(201\) −5.20889 + 3.34755i −0.367406 + 0.236118i
\(202\) −9.20282 1.32317i −0.647508 0.0930976i
\(203\) −0.578349 + 1.96461i −0.0405922 + 0.137888i
\(204\) −4.81196 4.16958i −0.336904 0.291929i
\(205\) 3.12197 10.6325i 0.218048 0.742603i
\(206\) −0.254447 −0.0177281
\(207\) −9.17867 3.03576i −0.637962 0.211000i
\(208\) 0.571122i 0.0396002i
\(209\) 10.8277 36.8756i 0.748965 2.55074i
\(210\) 4.14866 9.06756i 0.286285 0.625721i
\(211\) 7.98726 + 5.13310i 0.549866 + 0.353377i 0.785887 0.618371i \(-0.212207\pi\)
−0.236021 + 0.971748i \(0.575843\pi\)
\(212\) −4.11878 0.592191i −0.282879 0.0406719i
\(213\) 5.07064 + 7.89007i 0.347435 + 0.540619i
\(214\) 4.24405 1.93819i 0.290117 0.132492i
\(215\) 4.82399 4.18001i 0.328994 0.285075i
\(216\) −4.92529 + 0.708150i −0.335124 + 0.0481835i
\(217\) −2.74328 + 18.9859i −0.186226 + 1.28885i
\(218\) 3.71022 + 12.6359i 0.251288 + 0.855808i
\(219\) 3.75242 1.10181i 0.253565 0.0744535i
\(220\) −20.1503 9.20235i −1.35853 0.620422i
\(221\) 3.62826 0.521665i 0.244063 0.0350910i
\(222\) 0.614578 + 0.709261i 0.0412478 + 0.0476025i
\(223\) 10.7340 4.90207i 0.718804 0.328267i −0.0222131 0.999753i \(-0.507071\pi\)
0.741017 + 0.671487i \(0.234344\pi\)
\(224\) 1.99832 + 1.73399i 0.133518 + 0.115857i
\(225\) −2.70629 + 18.8226i −0.180419 + 1.25484i
\(226\) −4.71747 + 7.34053i −0.313802 + 0.488285i
\(227\) 3.18519 3.67590i 0.211408 0.243978i −0.640135 0.768262i \(-0.721122\pi\)
0.851543 + 0.524284i \(0.175667\pi\)
\(228\) −1.84218 + 6.27390i −0.122002 + 0.415499i
\(229\) −1.61125 −0.106474 −0.0532372 0.998582i \(-0.516954\pi\)
−0.0532372 + 0.998582i \(0.516954\pi\)
\(230\) 11.4592 + 14.1652i 0.755595 + 0.934029i
\(231\) 4.30147 + 14.6874i 0.283016 + 0.966357i
\(232\) −0.742704 0.218078i −0.0487609 0.0143175i
\(233\) 8.04628 9.28591i 0.527130 0.608340i −0.428272 0.903650i \(-0.640877\pi\)
0.955402 + 0.295310i \(0.0954229\pi\)
\(234\) 0.622437 0.968532i 0.0406900 0.0633149i
\(235\) −4.07458 0.585837i −0.265797 0.0382158i
\(236\) 5.34541 + 8.31763i 0.347957 + 0.541431i
\(237\) −1.62146 3.55051i −0.105325 0.230630i
\(238\) −9.19055 + 14.2789i −0.595735 + 0.925562i
\(239\) −0.845376 5.87972i −0.0546828 0.380327i −0.998724 0.0504999i \(-0.983919\pi\)
0.944041 0.329827i \(-0.106991\pi\)
\(240\) 3.42831 + 1.56566i 0.221296 + 0.101063i
\(241\) −25.9258 + 7.61250i −1.67003 + 0.490364i −0.973790 0.227447i \(-0.926962\pi\)
−0.696237 + 0.717812i \(0.745144\pi\)
\(242\) 22.0674 6.47956i 1.41854 0.416522i
\(243\) −14.5816 6.65918i −0.935408 0.427186i
\(244\) 1.04059 + 7.23745i 0.0666168 + 0.463330i
\(245\) −25.5062 7.52794i −1.62953 0.480942i
\(246\) −1.20205 2.63212i −0.0766397 0.167818i
\(247\) −2.03518 3.16680i −0.129495 0.201499i
\(248\) −7.17673 1.03186i −0.455723 0.0655231i
\(249\) −5.22140 + 8.12466i −0.330893 + 0.514880i
\(250\) 11.0297 12.7290i 0.697579 0.805049i
\(251\) 1.79068 + 0.525792i 0.113027 + 0.0331877i 0.337757 0.941233i \(-0.390332\pi\)
−0.224730 + 0.974421i \(0.572150\pi\)
\(252\) 1.49903 + 5.11844i 0.0944302 + 0.322431i
\(253\) −27.5288 4.91321i −1.73072 0.308891i
\(254\) −16.6220 −1.04296
\(255\) −6.81498 + 23.2097i −0.426770 + 1.45345i
\(256\) −0.654861 + 0.755750i −0.0409288 + 0.0472343i
\(257\) −13.4757 + 20.9686i −0.840592 + 1.30799i 0.108855 + 0.994058i \(0.465282\pi\)
−0.949447 + 0.313929i \(0.898355\pi\)
\(258\) 0.237206 1.64981i 0.0147678 0.102712i
\(259\) 1.64038 1.89043i 0.101928 0.117466i
\(260\) −1.97369 + 0.901352i −0.122403 + 0.0558995i
\(261\) −1.02184 1.17926i −0.0632501 0.0729945i
\(262\) 20.7853 2.98848i 1.28412 0.184629i
\(263\) 0.668651 + 0.305362i 0.0412308 + 0.0188295i 0.435924 0.899984i \(-0.356422\pi\)
−0.394693 + 0.918813i \(0.629149\pi\)
\(264\) −5.55016 + 1.62967i −0.341589 + 0.100300i
\(265\) 4.45382 + 15.1683i 0.273596 + 0.931781i
\(266\) 17.2594 + 2.49382i 1.05824 + 0.152906i
\(267\) −8.60597 + 1.23735i −0.526677 + 0.0757247i
\(268\) −4.71699 + 4.08729i −0.288136 + 0.249671i
\(269\) 5.43442 2.48182i 0.331342 0.151319i −0.242796 0.970077i \(-0.578064\pi\)
0.574138 + 0.818758i \(0.305337\pi\)
\(270\) 10.2204 + 15.9032i 0.621993 + 0.967841i
\(271\) 2.98517 + 0.429202i 0.181336 + 0.0260722i 0.232385 0.972624i \(-0.425347\pi\)
−0.0510485 + 0.998696i \(0.516256\pi\)
\(272\) −5.39933 3.46994i −0.327382 0.210396i
\(273\) 1.36313 + 0.623668i 0.0825002 + 0.0377461i
\(274\) 3.08537 10.5078i 0.186394 0.634799i
\(275\) 55.0045i 3.31690i
\(276\) 4.68366 + 0.835917i 0.281923 + 0.0503163i
\(277\) 20.9831 1.26075 0.630377 0.776289i \(-0.282900\pi\)
0.630377 + 0.776289i \(0.282900\pi\)
\(278\) −1.54523 + 5.26258i −0.0926770 + 0.315629i
\(279\) −11.0460 9.57143i −0.661308 0.573027i
\(280\) 2.83857 9.64240i 0.169637 0.576244i
\(281\) 25.8041 + 3.71006i 1.53934 + 0.221324i 0.859155 0.511716i \(-0.170990\pi\)
0.680186 + 0.733039i \(0.261899\pi\)
\(282\) −0.904276 + 0.581143i −0.0538488 + 0.0346065i
\(283\) −6.52483 14.2874i −0.387861 0.849297i −0.998358 0.0572784i \(-0.981758\pi\)
0.610498 0.792018i \(-0.290970\pi\)
\(284\) 6.19116 + 7.14498i 0.367378 + 0.423977i
\(285\) 24.5887 3.53532i 1.45651 0.209415i
\(286\) 1.38339 3.02920i 0.0818015 0.179120i
\(287\) −6.49500 + 4.16768i −0.383387 + 0.246011i
\(288\) −1.93419 + 0.567930i −0.113973 + 0.0334656i
\(289\) 10.0502 22.0069i 0.591190 1.29453i
\(290\) 0.418512 + 2.91081i 0.0245759 + 0.170929i
\(291\) 0.927581 0.803754i 0.0543758 0.0471169i
\(292\) 3.58595 1.63765i 0.209852 0.0958362i
\(293\) 11.4731 7.37332i 0.670267 0.430754i −0.160755 0.986994i \(-0.551393\pi\)
0.831022 + 0.556240i \(0.187757\pi\)
\(294\) −6.32078 + 2.87596i −0.368635 + 0.167729i
\(295\) 20.3079 31.5997i 1.18237 1.83981i
\(296\) 0.714949 + 0.619507i 0.0415556 + 0.0360081i
\(297\) −27.8388 8.17420i −1.61537 0.474315i
\(298\) 10.3819i 0.601406i
\(299\) −2.12946 + 1.72266i −0.123150 + 0.0996238i
\(300\) 9.35829i 0.540301i
\(301\) −4.44523 0.00309974i −0.256219 0.000178666i
\(302\) 2.83385 3.27044i 0.163070 0.188193i
\(303\) 7.75929 + 4.98659i 0.445760 + 0.286472i
\(304\) −0.938026 + 6.52411i −0.0537995 + 0.374184i
\(305\) 23.3689 15.0183i 1.33810 0.859946i
\(306\) −5.37469 11.7689i −0.307250 0.672784i
\(307\) −6.19928 + 5.37171i −0.353812 + 0.306579i −0.813573 0.581463i \(-0.802480\pi\)
0.459761 + 0.888043i \(0.347935\pi\)
\(308\) 6.39883 + 14.0374i 0.364607 + 0.799854i
\(309\) 0.229611 + 0.104860i 0.0130621 + 0.00596528i
\(310\) 7.76051 + 26.4299i 0.440768 + 1.50112i
\(311\) −4.61428 15.7148i −0.261652 0.891104i −0.980597 0.196037i \(-0.937193\pi\)
0.718945 0.695067i \(-0.244625\pi\)
\(312\) −0.235365 + 0.515378i −0.0133249 + 0.0291775i
\(313\) 3.31457 + 23.0533i 0.187351 + 1.30305i 0.838833 + 0.544388i \(0.183238\pi\)
−0.651483 + 0.758664i \(0.725853\pi\)
\(314\) −5.24869 6.05731i −0.296201 0.341834i
\(315\) 15.3225 13.2584i 0.863327 0.747024i
\(316\) −2.12717 3.30995i −0.119663 0.186199i
\(317\) −1.08894 + 7.57372i −0.0611608 + 0.425383i 0.936120 + 0.351682i \(0.114390\pi\)
−0.997280 + 0.0737008i \(0.976519\pi\)
\(318\) 3.47272 + 2.23178i 0.194740 + 0.125152i
\(319\) −3.41103 2.95567i −0.190981 0.165486i
\(320\) 3.64523 + 1.07034i 0.203775 + 0.0598337i
\(321\) −4.62856 −0.258341
\(322\) 0.437835 12.6810i 0.0243996 0.706686i
\(323\) −42.3036 −2.35384
\(324\) −1.06618 0.313059i −0.0592324 0.0173922i
\(325\) 4.07167 + 3.52812i 0.225856 + 0.195705i
\(326\) −15.2033 9.77055i −0.842031 0.541140i
\(327\) 1.85928 12.9316i 0.102818 0.715117i
\(328\) −1.57695 2.45378i −0.0870724 0.135487i
\(329\) 1.87582 + 2.16786i 0.103417 + 0.119518i
\(330\) 14.3912 + 16.6083i 0.792208 + 0.914257i
\(331\) 3.89365 + 27.0809i 0.214014 + 1.48850i 0.759569 + 0.650427i \(0.225410\pi\)
−0.545554 + 0.838075i \(0.683681\pi\)
\(332\) −4.04417 + 8.85550i −0.221953 + 0.486009i
\(333\) 0.537269 + 1.82977i 0.0294422 + 0.100271i
\(334\) 0.673707 + 2.29443i 0.0368636 + 0.125546i
\(335\) 21.5693 + 9.85037i 1.17846 + 0.538183i
\(336\) −1.08868 2.38827i −0.0593921 0.130291i
\(337\) 1.33812 1.15949i 0.0728921 0.0631614i −0.617653 0.786451i \(-0.711916\pi\)
0.690545 + 0.723290i \(0.257371\pi\)
\(338\) 5.26489 + 11.5285i 0.286373 + 0.627068i
\(339\) 7.28213 4.67994i 0.395511 0.254179i
\(340\) −3.47014 + 24.1353i −0.188195 + 1.30892i
\(341\) −35.5656 22.8566i −1.92598 1.23775i
\(342\) −8.70105 + 10.0415i −0.470499 + 0.542985i
\(343\) 9.98019 + 15.6011i 0.538880 + 0.842383i
\(344\) 1.68014i 0.0905870i
\(345\) −4.50306 17.5051i −0.242436 0.942442i
\(346\) 21.5480i 1.15843i
\(347\) −27.2587 8.00388i −1.46332 0.429671i −0.549401 0.835559i \(-0.685144\pi\)
−0.913923 + 0.405888i \(0.866962\pi\)
\(348\) 0.580341 + 0.502868i 0.0311095 + 0.0269566i
\(349\) −10.4042 + 16.1893i −0.556926 + 0.866593i −0.999546 0.0301158i \(-0.990412\pi\)
0.442621 + 0.896709i \(0.354049\pi\)
\(350\) −24.7067 + 3.53471i −1.32063 + 0.188938i
\(351\) −2.39073 + 1.53643i −0.127608 + 0.0820086i
\(352\) −5.30394 + 2.42223i −0.282701 + 0.129105i
\(353\) −7.72950 + 6.69765i −0.411400 + 0.356480i −0.835837 0.548977i \(-0.815017\pi\)
0.424437 + 0.905457i \(0.360472\pi\)
\(354\) −1.39590 9.70868i −0.0741911 0.516011i
\(355\) 14.9207 32.6717i 0.791908 1.73404i
\(356\) −8.40918 + 2.46916i −0.445686 + 0.130865i
\(357\) 14.1780 9.09767i 0.750378 0.481500i
\(358\) −0.438387 + 0.959933i −0.0231695 + 0.0507340i
\(359\) 14.4707 2.08058i 0.763737 0.109809i 0.250571 0.968098i \(-0.419382\pi\)
0.513166 + 0.858290i \(0.328473\pi\)
\(360\) 5.01522 + 5.78788i 0.264326 + 0.305048i
\(361\) 10.1544 + 22.2350i 0.534441 + 1.17026i
\(362\) −19.2138 + 12.3480i −1.00986 + 0.648995i
\(363\) −22.5838 3.24705i −1.18534 0.170426i
\(364\) 1.44954 + 0.426722i 0.0759766 + 0.0223663i
\(365\) −11.3188 9.80779i −0.592453 0.513363i
\(366\) 2.04360 6.95987i 0.106821 0.363798i
\(367\) 2.95380 0.154187 0.0770936 0.997024i \(-0.475436\pi\)
0.0770936 + 0.997024i \(0.475436\pi\)
\(368\) 4.79309 + 0.162144i 0.249857 + 0.00845232i
\(369\) 5.87985i 0.306093i
\(370\) 1.01255 3.44844i 0.0526401 0.179276i
\(371\) 4.58042 10.0112i 0.237804 0.519758i
\(372\) 6.05101 + 3.88875i 0.313730 + 0.201622i
\(373\) 4.51001 + 0.648442i 0.233519 + 0.0335750i 0.258081 0.966123i \(-0.416910\pi\)
−0.0245615 + 0.999698i \(0.507819\pi\)
\(374\) −20.2327 31.4828i −1.04621 1.62793i
\(375\) −15.1989 + 6.94109i −0.784866 + 0.358436i
\(376\) −0.818881 + 0.709565i −0.0422306 + 0.0365930i
\(377\) −0.437583 + 0.0629149i −0.0225366 + 0.00324028i
\(378\) 1.88268 13.0298i 0.0968344 0.670180i
\(379\) −7.67694 26.1453i −0.394338 1.34299i −0.882530 0.470256i \(-0.844162\pi\)
0.488192 0.872736i \(-0.337657\pi\)
\(380\) 24.0265 7.05481i 1.23253 0.361904i
\(381\) 14.9996 + 6.85008i 0.768452 + 0.350940i
\(382\) 1.20601 0.173399i 0.0617050 0.00887184i
\(383\) 16.8114 + 19.4014i 0.859021 + 0.991363i 0.999999 + 0.00135042i \(0.000429851\pi\)
−0.140978 + 0.990013i \(0.545025\pi\)
\(384\) 0.902395 0.412110i 0.0460501 0.0210304i
\(385\) 38.4117 44.2671i 1.95764 2.25606i
\(386\) −0.797611 + 5.54751i −0.0405973 + 0.282361i
\(387\) 1.83110 2.84925i 0.0930801 0.144835i
\(388\) 0.810200 0.935021i 0.0411317 0.0474685i
\(389\) 10.3066 35.1009i 0.522563 1.77969i −0.0976123 0.995225i \(-0.531121\pi\)
0.620176 0.784463i \(-0.287061\pi\)
\(390\) 2.15250 0.108996
\(391\) 3.34795 + 30.5980i 0.169313 + 1.54741i
\(392\) −5.89405 + 3.77627i −0.297694 + 0.190730i
\(393\) −19.9881 5.86905i −1.00827 0.296054i
\(394\) 5.03048 5.80549i 0.253432 0.292476i
\(395\) −8.08139 + 12.5749i −0.406619 + 0.632712i
\(396\) −11.6345 1.67279i −0.584656 0.0840608i
\(397\) −3.32613 5.17556i −0.166934 0.259754i 0.747701 0.664036i \(-0.231158\pi\)
−0.914634 + 0.404282i \(0.867521\pi\)
\(398\) −6.98196 15.2884i −0.349974 0.766336i
\(399\) −14.5471 9.36320i −0.728266 0.468746i
\(400\) −1.34250 9.33732i −0.0671252 0.466866i
\(401\) 5.17703 + 2.36427i 0.258528 + 0.118066i 0.540463 0.841368i \(-0.318249\pi\)
−0.281935 + 0.959434i \(0.590976\pi\)
\(402\) 5.94100 1.74444i 0.296310 0.0870045i
\(403\) −3.97320 + 1.16664i −0.197919 + 0.0581144i
\(404\) 8.45726 + 3.86230i 0.420765 + 0.192157i
\(405\) 0.600791 + 4.17859i 0.0298535 + 0.207636i
\(406\) 1.10842 1.72209i 0.0550098 0.0854658i
\(407\) 2.29146 + 5.01760i 0.113583 + 0.248713i
\(408\) 3.44233 + 5.35637i 0.170421 + 0.265180i
\(409\) 7.31977 + 1.05242i 0.361940 + 0.0520390i 0.320886 0.947118i \(-0.396019\pi\)
0.0410537 + 0.999157i \(0.486929\pi\)
\(410\) −5.99102 + 9.32221i −0.295875 + 0.460391i
\(411\) −7.11459 + 8.21067i −0.350937 + 0.405003i
\(412\) 0.244140 + 0.0716859i 0.0120279 + 0.00353171i
\(413\) −25.1045 + 7.35234i −1.23531 + 0.361785i
\(414\) 7.95160 + 5.49872i 0.390800 + 0.270247i
\(415\) 36.9855 1.81554
\(416\) −0.160904 + 0.547988i −0.00788895 + 0.0268673i
\(417\) 3.56317 4.11212i 0.174489 0.201371i
\(418\) −20.7781 + 32.3314i −1.01629 + 1.58138i
\(419\) −4.96776 + 34.5515i −0.242691 + 1.68795i 0.395810 + 0.918332i \(0.370464\pi\)
−0.638501 + 0.769621i \(0.720445\pi\)
\(420\) −6.53524 + 7.53145i −0.318887 + 0.367497i
\(421\) −25.3129 + 11.5600i −1.23367 + 0.563400i −0.922148 0.386838i \(-0.873567\pi\)
−0.311526 + 0.950238i \(0.600840\pi\)
\(422\) −6.21756 7.17545i −0.302666 0.349295i
\(423\) −2.16201 + 0.310850i −0.105121 + 0.0151141i
\(424\) 3.78510 + 1.72860i 0.183821 + 0.0839481i
\(425\) 58.0925 17.0575i 2.81790 0.827411i
\(426\) −2.64235 8.99903i −0.128022 0.436004i
\(427\) −19.1466 2.76649i −0.926567 0.133880i
\(428\) −4.61819 + 0.663995i −0.223229 + 0.0320954i
\(429\) −2.49672 + 2.16342i −0.120543 + 0.104451i
\(430\) −5.80623 + 2.65162i −0.280001 + 0.127872i
\(431\) −8.13667 12.6609i −0.391929 0.609854i 0.588081 0.808802i \(-0.299884\pi\)
−0.980010 + 0.198948i \(0.936247\pi\)
\(432\) 4.92529 + 0.708150i 0.236968 + 0.0340709i
\(433\) 11.4178 + 7.33775i 0.548702 + 0.352630i 0.785434 0.618945i \(-0.212440\pi\)
−0.236732 + 0.971575i \(0.576076\pi\)
\(434\) 7.98112 17.4440i 0.383106 0.837339i
\(435\) 0.821912 2.79918i 0.0394077 0.134210i
\(436\) 13.1693i 0.630696i
\(437\) 27.1549 16.1810i 1.29899 0.774041i
\(438\) −3.91084 −0.186867
\(439\) −6.48573 + 22.0884i −0.309547 + 1.05422i 0.646963 + 0.762522i \(0.276039\pi\)
−0.956510 + 0.291699i \(0.905779\pi\)
\(440\) 16.7415 + 14.5066i 0.798120 + 0.691575i
\(441\) −14.1109 0.0196796i −0.671949 0.000937124i
\(442\) −3.62826 0.521665i −0.172579 0.0248131i
\(443\) −13.6113 + 8.74747i −0.646694 + 0.415605i −0.822457 0.568828i \(-0.807397\pi\)
0.175763 + 0.984432i \(0.443761\pi\)
\(444\) −0.389861 0.853677i −0.0185020 0.0405137i
\(445\) 21.8044 + 25.1636i 1.03363 + 1.19287i
\(446\) −11.6803 + 1.67937i −0.553078 + 0.0795206i
\(447\) 4.27847 9.36855i 0.202365 0.443117i
\(448\) −1.42885 2.22674i −0.0675068 0.105204i
\(449\) 10.3241 3.03142i 0.487223 0.143061i −0.0288893 0.999583i \(-0.509197\pi\)
0.516112 + 0.856521i \(0.327379\pi\)
\(450\) 7.89961 17.2977i 0.372391 0.815423i
\(451\) −2.42042 16.8344i −0.113973 0.792702i
\(452\) 6.59445 5.71412i 0.310177 0.268770i
\(453\) −3.90504 + 1.78337i −0.183475 + 0.0837900i
\(454\) −4.09178 + 2.62963i −0.192037 + 0.123415i
\(455\) −0.813018 5.68279i −0.0381149 0.266413i
\(456\) 3.53512 5.50076i 0.165547 0.257597i
\(457\) −15.1773 13.1512i −0.709965 0.615188i 0.223142 0.974786i \(-0.428368\pi\)
−0.933107 + 0.359598i \(0.882914\pi\)
\(458\) 1.54598 + 0.453942i 0.0722390 + 0.0212113i
\(459\) 31.9366i 1.49067i
\(460\) −7.00418 16.8199i −0.326572 0.784231i
\(461\) 25.1889i 1.17317i 0.809889 + 0.586583i \(0.199527\pi\)
−0.809889 + 0.586583i \(0.800473\pi\)
\(462\) 0.0106719 15.3043i 0.000496503 0.712019i
\(463\) 3.41896 3.94568i 0.158892 0.183372i −0.670721 0.741710i \(-0.734015\pi\)
0.829614 + 0.558338i \(0.188561\pi\)
\(464\) 0.651180 + 0.418488i 0.0302303 + 0.0194278i
\(465\) 3.88897 27.0484i 0.180347 1.25434i
\(466\) −10.3365 + 6.64286i −0.478829 + 0.307725i
\(467\) −12.3983 27.1485i −0.573725 1.25628i −0.944790 0.327676i \(-0.893735\pi\)
0.371065 0.928607i \(-0.378993\pi\)
\(468\) −0.870091 + 0.753938i −0.0402200 + 0.0348508i
\(469\) −6.84943 15.0259i −0.316277 0.693831i
\(470\) 3.74449 + 1.71005i 0.172720 + 0.0788787i
\(471\) 2.24011 + 7.62912i 0.103219 + 0.351531i
\(472\) −2.78554 9.48668i −0.128215 0.436660i
\(473\) 4.06968 8.91136i 0.187124 0.409745i
\(474\) 0.555488 + 3.86351i 0.0255144 + 0.177457i
\(475\) −40.7173 46.9903i −1.86824 2.15606i
\(476\) 12.8411 11.1112i 0.588571 0.509281i
\(477\) 4.53501 + 7.05662i 0.207644 + 0.323100i
\(478\) −0.845376 + 5.87972i −0.0386666 + 0.268932i
\(479\) −21.9680 14.1180i −1.00374 0.645066i −0.0679759 0.997687i \(-0.521654\pi\)
−0.935766 + 0.352621i \(0.885290\pi\)
\(480\) −2.84834 2.46810i −0.130008 0.112653i
\(481\) 0.518403 + 0.152217i 0.0236372 + 0.00694050i
\(482\) 27.0203 1.23074
\(483\) −5.62107 + 11.2629i −0.255768 + 0.512478i
\(484\) −22.9990 −1.04541
\(485\) −4.50992 1.32423i −0.204785 0.0601302i
\(486\) 12.1148 + 10.4975i 0.549539 + 0.476178i
\(487\) −12.7759 8.21055i −0.578929 0.372055i 0.218163 0.975912i \(-0.429993\pi\)
−0.797093 + 0.603857i \(0.793630\pi\)
\(488\) 1.04059 7.23745i 0.0471052 0.327624i
\(489\) 9.69281 + 15.0823i 0.438324 + 0.682045i
\(490\) 22.3521 + 14.4089i 1.00977 + 0.650929i
\(491\) 18.6896 + 21.5689i 0.843448 + 0.973391i 0.999898 0.0142950i \(-0.00455041\pi\)
−0.156450 + 0.987686i \(0.550005\pi\)
\(492\) 0.411803 + 2.86415i 0.0185655 + 0.129126i
\(493\) −2.06381 + 4.51911i −0.0929492 + 0.203530i
\(494\) 1.06055 + 3.61190i 0.0477163 + 0.162507i
\(495\) 12.5809 + 42.8466i 0.565469 + 1.92581i
\(496\) 6.59532 + 3.01198i 0.296139 + 0.135242i
\(497\) −22.7602 + 10.3751i −1.02093 + 0.465385i
\(498\) 7.29888 6.32452i 0.327071 0.283408i
\(499\) 13.0982 + 28.6810i 0.586355 + 1.28394i 0.937620 + 0.347662i \(0.113024\pi\)
−0.351265 + 0.936276i \(0.614248\pi\)
\(500\) −14.1691 + 9.10591i −0.633660 + 0.407229i
\(501\) 0.337610 2.34813i 0.0150833 0.104907i
\(502\) −1.57002 1.00899i −0.0700732 0.0450333i
\(503\) 11.8342 13.6574i 0.527661 0.608953i −0.427872 0.903840i \(-0.640736\pi\)
0.955532 + 0.294887i \(0.0952819\pi\)
\(504\) 0.00371910 5.33343i 0.000165662 0.237570i
\(505\) 35.3222i 1.57182i
\(506\) 25.0295 + 12.4700i 1.11270 + 0.554357i
\(507\) 12.5730i 0.558386i
\(508\) 15.9487 + 4.68295i 0.707608 + 0.207772i
\(509\) 17.7760 + 15.4030i 0.787905 + 0.682724i 0.952804 0.303587i \(-0.0981842\pi\)
−0.164898 + 0.986311i \(0.552730\pi\)
\(510\) 13.0778 20.3495i 0.579097 0.901092i
\(511\) 1.47716 + 10.3250i 0.0653456 + 0.456749i
\(512\) 0.841254 0.540641i 0.0371785 0.0238932i
\(513\) 29.8336 13.6246i 1.31719 0.601539i
\(514\) 18.8374 16.3227i 0.830882 0.719963i
\(515\) −0.137572 0.956835i −0.00606215 0.0421632i
\(516\) −0.692402 + 1.51615i −0.0304813 + 0.0667447i
\(517\) −6.06203 + 1.77997i −0.266608 + 0.0782830i
\(518\) −2.10653 + 1.35171i −0.0925556 + 0.0593907i
\(519\) 8.88014 19.4448i 0.389795 0.853532i
\(520\) 2.14768 0.308790i 0.0941819 0.0135413i
\(521\) −10.6569 12.2987i −0.466888 0.538817i 0.472656 0.881247i \(-0.343295\pi\)
−0.939543 + 0.342430i \(0.888750\pi\)
\(522\) 0.648208 + 1.41938i 0.0283713 + 0.0621245i
\(523\) −1.65997 + 1.06680i −0.0725855 + 0.0466478i −0.576430 0.817146i \(-0.695555\pi\)
0.503845 + 0.863794i \(0.331918\pi\)
\(524\) −20.7853 2.98848i −0.908011 0.130552i
\(525\) 23.7519 + 6.99218i 1.03662 + 0.305164i
\(526\) −0.555535 0.481374i −0.0242225 0.0209889i
\(527\) −13.1105 + 44.6503i −0.571103 + 1.94500i
\(528\) 5.78447 0.251737
\(529\) −13.8527 18.3604i −0.602290 0.798277i
\(530\) 15.8087i 0.686684i
\(531\) 5.61523 19.1237i 0.243680 0.829899i
\(532\) −15.8577 7.25535i −0.687520 0.314559i
\(533\) −1.40141 0.900630i −0.0607017 0.0390106i
\(534\) 8.60597 + 1.23735i 0.372417 + 0.0535454i
\(535\) 9.58312 + 14.9116i 0.414314 + 0.644686i
\(536\) 5.67744 2.59280i 0.245228 0.111992i
\(537\) 0.791196 0.685575i 0.0341426 0.0295848i
\(538\) −5.91350 + 0.850233i −0.254949 + 0.0366561i
\(539\) −40.4087 + 5.75238i −1.74052 + 0.247773i
\(540\) −5.32593 18.1385i −0.229192 0.780555i
\(541\) 10.6683 3.13249i 0.458665 0.134676i −0.0442342 0.999021i \(-0.514085\pi\)
0.502899 + 0.864345i \(0.332267\pi\)
\(542\) −2.74333 1.25284i −0.117836 0.0538139i
\(543\) 22.4272 3.22454i 0.962442 0.138378i
\(544\) 4.20302 + 4.85055i 0.180203 + 0.207966i
\(545\) −45.5106 + 20.7840i −1.94946 + 0.890288i
\(546\) −1.13220 0.982442i −0.0484538 0.0420446i
\(547\) 3.37559 23.4778i 0.144330 1.00384i −0.780961 0.624580i \(-0.785270\pi\)
0.925291 0.379258i \(-0.123821\pi\)
\(548\) −5.92078 + 9.21291i −0.252923 + 0.393556i
\(549\) 9.65240 11.1395i 0.411955 0.475421i
\(550\) 15.4966 52.7765i 0.660776 2.25040i
\(551\) 5.10198 0.217352
\(552\) −4.25844 2.12160i −0.181251 0.0903012i
\(553\) 9.99019 2.92582i 0.424826 0.124418i
\(554\) −20.1332 5.91163i −0.855376 0.251161i
\(555\) −2.33486 + 2.69457i −0.0991092 + 0.114378i
\(556\) 2.96528 4.61407i 0.125756 0.195680i
\(557\) −28.4847 4.09548i −1.20693 0.173531i −0.490661 0.871350i \(-0.663245\pi\)
−0.716274 + 0.697819i \(0.754154\pi\)
\(558\) 7.90200 + 12.2957i 0.334518 + 0.520520i
\(559\) −0.398618 0.872851i −0.0168597 0.0369177i
\(560\) −5.44017 + 8.45210i −0.229889 + 0.357166i
\(561\) 5.28356 + 36.7480i 0.223072 + 1.55150i
\(562\) −23.7136 10.8296i −1.00030 0.456820i
\(563\) −14.6511 + 4.30196i −0.617471 + 0.181306i −0.575485 0.817812i \(-0.695187\pi\)
−0.0419862 + 0.999118i \(0.513369\pi\)
\(564\) 1.03137 0.302838i 0.0434286 0.0127518i
\(565\) −30.1543 13.7710i −1.26860 0.579351i
\(566\) 2.23531 + 15.5469i 0.0939569 + 0.653485i
\(567\) 1.59118 2.47213i 0.0668232 0.103820i
\(568\) −3.92740 8.59981i −0.164790 0.360840i
\(569\) −21.0945 32.8237i −0.884327 1.37604i −0.926246 0.376919i \(-0.876984\pi\)
0.0419195 0.999121i \(-0.486653\pi\)
\(570\) −24.5887 3.53532i −1.02991 0.148078i
\(571\) −5.44510 + 8.47274i −0.227870 + 0.354573i −0.936296 0.351213i \(-0.885769\pi\)
0.708426 + 0.705786i \(0.249406\pi\)
\(572\) −2.18077 + 2.51675i −0.0911828 + 0.105231i
\(573\) −1.15976 0.340536i −0.0484497 0.0142261i
\(574\) 7.40607 2.16901i 0.309124 0.0905328i
\(575\) −30.7654 + 33.1695i −1.28301 + 1.38326i
\(576\) 2.01585 0.0839937
\(577\) 4.52384 15.4068i 0.188330 0.641393i −0.810147 0.586226i \(-0.800613\pi\)
0.998477 0.0551663i \(-0.0175689\pi\)
\(578\) −15.8432 + 18.2840i −0.658990 + 0.760515i
\(579\) 3.00594 4.67734i 0.124923 0.194384i
\(580\) 0.418512 2.91081i 0.0173778 0.120865i
\(581\) −19.4541 16.8809i −0.807093 0.700336i
\(582\) −1.11645 + 0.509866i −0.0462784 + 0.0211346i
\(583\) 15.8889 + 18.3368i 0.658051 + 0.759431i
\(584\) −3.90208 + 0.561034i −0.161469 + 0.0232158i
\(585\) 3.97865 + 1.81699i 0.164497 + 0.0751233i
\(586\) −13.0857 + 3.84230i −0.540565 + 0.158724i
\(587\) 3.14648 + 10.7159i 0.129869 + 0.442294i 0.998595 0.0530002i \(-0.0168784\pi\)
−0.868725 + 0.495294i \(0.835060\pi\)
\(588\) 6.87500 0.978691i 0.283520 0.0403605i
\(589\) 47.3033 6.80119i 1.94910 0.280238i
\(590\) −28.3879 + 24.5983i −1.16871 + 1.01270i
\(591\) −6.93198 + 3.16573i −0.285144 + 0.130221i
\(592\) −0.511453 0.795837i −0.0210206 0.0327087i
\(593\) 30.0848 + 4.32554i 1.23543 + 0.177629i 0.728917 0.684602i \(-0.240024\pi\)
0.506516 + 0.862230i \(0.330933\pi\)
\(594\) 24.4082 + 15.6862i 1.00148 + 0.643612i
\(595\) −58.6641 26.8405i −2.40500 1.10035i
\(596\) 2.92491 9.96133i 0.119809 0.408032i
\(597\) 16.6735i 0.682399i
\(598\) 2.52853 1.05294i 0.103399 0.0430578i
\(599\) 3.58737 0.146576 0.0732880 0.997311i \(-0.476651\pi\)
0.0732880 + 0.997311i \(0.476651\pi\)
\(600\) −2.63653 + 8.97921i −0.107636 + 0.366575i
\(601\) −34.8119 30.1646i −1.42001 1.23044i −0.934382 0.356274i \(-0.884047\pi\)
−0.485624 0.874168i \(-0.661407\pi\)
\(602\) 4.26429 + 1.25534i 0.173800 + 0.0511638i
\(603\) 12.4538 + 1.79059i 0.507158 + 0.0729183i
\(604\) −3.64045 + 2.33958i −0.148128 + 0.0951960i
\(605\) 36.2973 + 79.4800i 1.47569 + 3.23132i
\(606\) −6.04010 6.97064i −0.245362 0.283163i
\(607\) −12.3843 + 1.78059i −0.502663 + 0.0722721i −0.388982 0.921245i \(-0.627173\pi\)
−0.113681 + 0.993517i \(0.536264\pi\)
\(608\) 2.73808 5.99557i 0.111044 0.243152i
\(609\) −1.70992 + 1.09721i −0.0692894 + 0.0444614i
\(610\) −26.6535 + 7.82617i −1.07917 + 0.316872i
\(611\) −0.257072 + 0.562908i −0.0104000 + 0.0227728i
\(612\) 1.84129 + 12.8064i 0.0744295 + 0.517669i
\(613\) −5.49093 + 4.75792i −0.221777 + 0.192171i −0.758662 0.651485i \(-0.774146\pi\)
0.536885 + 0.843655i \(0.319601\pi\)
\(614\) 7.46155 3.40758i 0.301124 0.137519i
\(615\) 9.24804 5.94335i 0.372917 0.239659i
\(616\) −2.18484 15.2715i −0.0880299 0.615307i
\(617\) −3.03799 + 4.72721i −0.122305 + 0.190310i −0.897007 0.442016i \(-0.854263\pi\)
0.774702 + 0.632326i \(0.217900\pi\)
\(618\) −0.190768 0.165301i −0.00767382 0.00664940i
\(619\) 21.7789 + 6.39487i 0.875369 + 0.257032i 0.688398 0.725334i \(-0.258314\pi\)
0.186972 + 0.982365i \(0.440133\pi\)
\(620\) 27.5457i 1.10626i
\(621\) −12.2156 20.5002i −0.490196 0.822645i
\(622\) 16.3782i 0.656707i
\(623\) 0.0161693 23.1879i 0.000647810 0.929003i
\(624\) 0.371030 0.428191i 0.0148531 0.0171414i
\(625\) 14.1509 + 9.09424i 0.566037 + 0.363770i
\(626\) 3.31457 23.0533i 0.132477 0.921397i
\(627\) 32.0742 20.6128i 1.28092 0.823197i
\(628\) 3.32954 + 7.29067i 0.132863 + 0.290929i
\(629\) 4.58868 3.97612i 0.182963 0.158538i
\(630\) −18.4372 + 8.40444i −0.734555 + 0.334841i
\(631\) 10.3870 + 4.74357i 0.413499 + 0.188839i 0.611292 0.791405i \(-0.290650\pi\)
−0.197793 + 0.980244i \(0.563377\pi\)
\(632\) 1.10849 + 3.77516i 0.0440933 + 0.150168i
\(633\) 2.65362 + 9.03741i 0.105472 + 0.359205i
\(634\) 3.17859 6.96014i 0.126238 0.276423i
\(635\) −8.98704 62.5062i −0.356640 2.48048i
\(636\) −2.70328 3.11976i −0.107192 0.123706i
\(637\) −2.16609 + 3.36019i −0.0858237 + 0.133136i
\(638\) 2.44015 + 3.79694i 0.0966063 + 0.150322i
\(639\) 2.71226 18.8642i 0.107295 0.746255i
\(640\) −3.19603 2.05396i −0.126334 0.0811900i
\(641\) 9.36098 + 8.11133i 0.369736 + 0.320378i 0.819834 0.572601i \(-0.194065\pi\)
−0.450098 + 0.892979i \(0.648611\pi\)
\(642\) 4.44107 + 1.30402i 0.175275 + 0.0514654i
\(643\) 36.3882 1.43501 0.717505 0.696554i \(-0.245284\pi\)
0.717505 + 0.696554i \(0.245284\pi\)
\(644\) −3.99276 + 12.0440i −0.157337 + 0.474600i
\(645\) 6.33227 0.249333
\(646\) 40.5900 + 11.9183i 1.59699 + 0.468920i
\(647\) 19.2715 + 16.6989i 0.757642 + 0.656500i 0.945473 0.325701i \(-0.105600\pi\)
−0.187831 + 0.982201i \(0.560146\pi\)
\(648\) 0.934796 + 0.600757i 0.0367222 + 0.0236000i
\(649\) 8.20457 57.0640i 0.322057 2.23996i
\(650\) −2.91275 4.53233i −0.114247 0.177773i
\(651\) −14.3910 + 12.4523i −0.564027 + 0.488044i
\(652\) 11.8347 + 13.6580i 0.463484 + 0.534890i
\(653\) 3.50287 + 24.3630i 0.137078 + 0.953398i 0.936009 + 0.351976i \(0.114490\pi\)
−0.798931 + 0.601422i \(0.794601\pi\)
\(654\) −5.42720 + 11.8839i −0.212220 + 0.464698i
\(655\) 22.4761 + 76.5464i 0.878212 + 2.99092i
\(656\) 0.821761 + 2.79866i 0.0320844 + 0.109269i
\(657\) −7.22874 3.30126i −0.282020 0.128794i
\(658\) −1.18908 2.60853i −0.0463551 0.101691i
\(659\) −22.4764 + 19.4759i −0.875557 + 0.758675i −0.971582 0.236704i \(-0.923933\pi\)
0.0960245 + 0.995379i \(0.469387\pi\)
\(660\) −9.12913 19.9900i −0.355351 0.778110i
\(661\) −15.5461 + 9.99088i −0.604674 + 0.388600i −0.806856 0.590748i \(-0.798833\pi\)
0.202183 + 0.979348i \(0.435197\pi\)
\(662\) 3.89365 27.0809i 0.151331 1.05253i
\(663\) 3.05914 + 1.96599i 0.118807 + 0.0763528i
\(664\) 6.37524 7.35742i 0.247407 0.285523i
\(665\) −0.0461985 + 66.2517i −0.00179150 + 2.56913i
\(666\) 1.90702i 0.0738955i
\(667\) −0.403776 3.69023i −0.0156343 0.142886i
\(668\) 2.39130i 0.0925221i
\(669\) 11.2323 + 3.29811i 0.434267 + 0.127512i
\(670\) −17.9204 15.5281i −0.692326 0.599904i
\(671\) 23.0500 35.8665i 0.889834 1.38461i
\(672\) 0.371722 + 2.59825i 0.0143395 + 0.100229i
\(673\) 5.13028 3.29703i 0.197758 0.127091i −0.438014 0.898968i \(-0.644318\pi\)
0.635772 + 0.771877i \(0.280682\pi\)
\(674\) −1.61058 + 0.735529i −0.0620374 + 0.0283315i
\(675\) −35.4747 + 30.7390i −1.36542 + 1.18314i
\(676\) −1.80367 12.5448i −0.0693720 0.482493i
\(677\) −20.7527 + 45.4420i −0.797591 + 1.74648i −0.144075 + 0.989567i \(0.546021\pi\)
−0.653516 + 0.756913i \(0.726707\pi\)
\(678\) −8.30564 + 2.43876i −0.318976 + 0.0936599i
\(679\) 1.76779 + 2.75495i 0.0678414 + 0.105725i
\(680\) 10.1293 22.1800i 0.388440 0.850565i
\(681\) 4.77610 0.686700i 0.183021 0.0263144i
\(682\) 27.6855 + 31.9507i 1.06013 + 1.22346i
\(683\) 11.7106 + 25.6427i 0.448095 + 0.981192i 0.990041 + 0.140778i \(0.0449605\pi\)
−0.541946 + 0.840413i \(0.682312\pi\)
\(684\) 11.1776 7.18342i 0.427387 0.274665i
\(685\) 41.1823 + 5.92112i 1.57349 + 0.226234i
\(686\) −5.18057 17.7809i −0.197795 0.678879i
\(687\) −1.20801 1.04675i −0.0460886 0.0399360i
\(688\) −0.473350 + 1.61208i −0.0180463 + 0.0614600i
\(689\) 2.37652 0.0905380
\(690\) −0.611103 + 18.0647i −0.0232643 + 0.687710i
\(691\) 11.3335i 0.431146i 0.976488 + 0.215573i \(0.0691620\pi\)
−0.976488 + 0.215573i \(0.930838\pi\)
\(692\) 6.07077 20.6751i 0.230776 0.785951i
\(693\) 12.9385 28.2792i 0.491494 1.07424i
\(694\) 23.8996 + 15.3593i 0.907216 + 0.583032i
\(695\) −20.6252 2.96545i −0.782357 0.112486i
\(696\) −0.415158 0.645999i −0.0157365 0.0244865i
\(697\) −17.0289 + 7.77685i −0.645016 + 0.294569i
\(698\) 14.5438 12.6023i 0.550492 0.477004i
\(699\) 12.0652 1.73471i 0.456347 0.0656128i
\(700\) 24.7018 + 3.56916i 0.933639 + 0.134902i
\(701\) 1.30455 + 4.44290i 0.0492723 + 0.167806i 0.980454 0.196750i \(-0.0630388\pi\)
−0.931181 + 0.364556i \(0.881221\pi\)
\(702\) 2.72675 0.800647i 0.102915 0.0302185i
\(703\) −5.67189 2.59026i −0.213919 0.0976936i
\(704\) 5.77151 0.829819i 0.217522 0.0312750i
\(705\) −2.67428 3.08628i −0.100719 0.116236i
\(706\) 9.30335 4.24870i 0.350136 0.159902i
\(707\) −16.1217 + 18.5793i −0.606320 + 0.698745i
\(708\) −1.39590 + 9.70868i −0.0524610 + 0.364875i
\(709\) −10.4525 + 16.2645i −0.392553 + 0.610825i −0.980133 0.198341i \(-0.936445\pi\)
0.587580 + 0.809166i \(0.300081\pi\)
\(710\) −23.5210 + 27.1447i −0.882727 + 1.01872i
\(711\) −2.23454 + 7.61016i −0.0838020 + 0.285403i
\(712\) 8.76420 0.328452
\(713\) −8.66289 33.6760i −0.324428 1.26117i
\(714\) −16.1668 + 4.73475i −0.605026 + 0.177194i
\(715\) 12.1391 + 3.56437i 0.453977 + 0.133300i
\(716\) 0.691074 0.797541i 0.0258266 0.0298055i
\(717\) 3.18595 4.95744i 0.118982 0.185139i
\(718\) −14.4707 2.08058i −0.540043 0.0776465i
\(719\) 0.510708 + 0.794678i 0.0190462 + 0.0296365i 0.850646 0.525739i \(-0.176211\pi\)
−0.831600 + 0.555375i \(0.812575\pi\)
\(720\) −3.18144 6.96638i −0.118565 0.259622i
\(721\) −0.364356 + 0.566080i −0.0135693 + 0.0210819i
\(722\) −3.47874 24.1952i −0.129465 0.900450i
\(723\) −24.3830 11.1353i −0.906813 0.414128i
\(724\) 21.9143 6.43463i 0.814440 0.239141i
\(725\) −7.00618 + 2.05720i −0.260203 + 0.0764025i
\(726\) 20.7542 + 9.47811i 0.770259 + 0.351766i
\(727\) 3.17097 + 22.0546i 0.117605 + 0.817959i 0.960180 + 0.279381i \(0.0901292\pi\)
−0.842576 + 0.538578i \(0.818962\pi\)
\(728\) −1.27060 0.817820i −0.0470917 0.0303104i
\(729\) −5.22138 11.4332i −0.193384 0.423453i
\(730\) 8.09713 + 12.5994i 0.299688 + 0.466324i
\(731\) −10.6737 1.53465i −0.394781 0.0567610i
\(732\) −3.92165 + 6.10220i −0.144948 + 0.225544i
\(733\) −23.8166 + 27.4858i −0.879686 + 1.01521i 0.120062 + 0.992766i \(0.461691\pi\)
−0.999748 + 0.0224457i \(0.992855\pi\)
\(734\) −2.83415 0.832183i −0.104611 0.0307164i
\(735\) −14.2324 22.2141i −0.524969 0.819378i
\(736\) −4.55325 1.50595i −0.167835 0.0555099i
\(737\) 36.3932 1.34056
\(738\) −1.65655 + 5.64168i −0.0609783 + 0.207673i
\(739\) −32.7453 + 37.7901i −1.20456 + 1.39013i −0.305562 + 0.952172i \(0.598844\pi\)
−0.898994 + 0.437960i \(0.855701\pi\)
\(740\) −1.94307 + 3.02348i −0.0714288 + 0.111145i
\(741\) 0.531465 3.69642i 0.0195239 0.135791i
\(742\) −7.21538 + 8.31526i −0.264885 + 0.305263i
\(743\) 32.8796 15.0156i 1.20624 0.550869i 0.292143 0.956375i \(-0.405632\pi\)
0.914093 + 0.405506i \(0.132904\pi\)
\(744\) −4.71031 5.43599i −0.172688 0.199293i
\(745\) −39.0406 + 5.61318i −1.43034 + 0.205651i
\(746\) −4.14464 1.89279i −0.151746 0.0693000i
\(747\) 18.8299 5.52895i 0.688949 0.202294i
\(748\) 10.5435 + 35.9077i 0.385507 + 1.31292i
\(749\) 1.76529 12.2173i 0.0645021 0.446412i
\(750\) 16.5387 2.37791i 0.603909 0.0868291i
\(751\) 4.84583 4.19893i 0.176827 0.153221i −0.561951 0.827171i \(-0.689949\pi\)
0.738777 + 0.673949i \(0.235403\pi\)
\(752\) 0.985618 0.450117i 0.0359418 0.0164141i
\(753\) 1.00096 + 1.55752i 0.0364770 + 0.0567593i
\(754\) 0.437583 + 0.0629149i 0.0159358 + 0.00229122i
\(755\) 13.8305 + 8.88834i 0.503344 + 0.323480i
\(756\) −5.47733 + 11.9716i −0.199209 + 0.435402i
\(757\) −6.86795 + 23.3901i −0.249620 + 0.850127i 0.735392 + 0.677642i \(0.236998\pi\)
−0.985012 + 0.172485i \(0.944820\pi\)
\(758\) 27.2490i 0.989730i
\(759\) −17.4475 21.5677i −0.633305 0.782859i
\(760\) −25.0408 −0.908325
\(761\) −10.9303 + 37.2252i −0.396223 + 1.34941i 0.484090 + 0.875018i \(0.339151\pi\)
−0.880313 + 0.474393i \(0.842667\pi\)
\(762\) −12.4621 10.7985i −0.451455 0.391188i
\(763\) 33.4245 + 9.83964i 1.21005 + 0.356219i
\(764\) −1.20601 0.173399i −0.0436320 0.00627334i
\(765\) 41.3505 26.5744i 1.49503 0.960799i
\(766\) −10.6644 23.3518i −0.385320 0.843734i
\(767\) −3.69786 4.26756i −0.133522 0.154093i
\(768\) −0.981946 + 0.141183i −0.0354329 + 0.00509449i
\(769\) 3.81828 8.36087i 0.137691 0.301501i −0.828208 0.560421i \(-0.810639\pi\)
0.965899 + 0.258920i \(0.0833667\pi\)
\(770\) −49.3272 + 31.6521i −1.77763 + 1.14066i
\(771\) −23.7255 + 6.96644i −0.854453 + 0.250890i
\(772\) 2.32822 5.09808i 0.0837943 0.183484i
\(773\) −1.69546 11.7922i −0.0609816 0.424136i −0.997328 0.0730580i \(-0.976724\pi\)
0.936346 0.351078i \(-0.114185\pi\)