Properties

Label 322.2.k.a.83.3
Level $322$
Weight $2$
Character 322.83
Analytic conductor $2.571$
Analytic rank $0$
Dimension $80$
CM no
Inner twists $4$

Related objects

Downloads

Learn more

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 83.3
Character \(\chi\) \(=\) 322.83
Dual form 322.2.k.a.97.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.959493 + 0.281733i) q^{2} +(-0.749737 + 0.649651i) q^{3} +(0.841254 - 0.540641i) q^{4} +(-0.540672 - 3.76045i) q^{5} +(0.536339 - 0.834560i) q^{6} +(-2.61856 - 0.378356i) q^{7} +(-0.654861 + 0.755750i) q^{8} +(-0.286885 + 1.99533i) q^{9} +O(q^{10})\) \(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} +(-2.61856 - 0.378356i) 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} +(2.61908 - 0.374703i) 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} +(2.20903 - 1.41748i) 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} +(-2.40743 + 1.09741i) 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} +(-0.00700911 + 10.0515i) 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} +(-1.72020 + 1.98242i) 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} +(6.71369 + 1.98149i) 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} +(2.00073 - 1.73120i) 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} +(1.50617 - 5.11634i) 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} +(6.41840 - 14.0284i) 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} +(1.09200 - 2.38675i) 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} +(-6.99999 - 0.00976244i) 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 \(\left(\mathbb{Z}/322\mathbb{Z}\right)^\times\).

\(n\) \(185\) \(281\)
\(\chi(n)\) \(-1\) \(e\left(\frac{21}{22}\right)\)

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 \(-0.819724\pi\)
0.411003 + 0.911634i \(0.365179\pi\)
\(4\) 0.841254 0.540641i 0.420627 0.270320i
\(5\) −0.540672 3.76045i −0.241796 1.68173i −0.643101 0.765782i \(-0.722352\pi\)
0.401305 0.915945i \(-0.368557\pi\)
\(6\) 0.536339 0.834560i 0.218960 0.340708i
\(7\) −2.61856 0.378356i −0.989722 0.143005i
\(8\) −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 0.209791 + 0.977746i \(0.432722\pi\)
−0.705097 + 0.709111i \(0.749096\pi\)
\(12\) −0.279491 + 0.951859i −0.0806821 + 0.274778i
\(13\) 0.519511 0.237253i 0.144086 0.0658021i −0.342067 0.939676i \(-0.611127\pi\)
0.486153 + 0.873874i \(0.338400\pi\)
\(14\) 2.61908 0.374703i 0.699979 0.100144i
\(15\) 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 \(-0.0342537\pi\)
0.315314 + 0.948987i \(0.397890\pi\)
\(18\) −0.286885 1.99533i −0.0676195 0.470304i
\(19\) −5.54487 + 3.56347i −1.27208 + 0.817517i −0.989889 0.141841i \(-0.954698\pi\)
−0.282192 + 0.959358i \(0.591061\pi\)
\(20\) −2.48790 2.87119i −0.556311 0.642017i
\(21\) 2.20903 1.41748i 0.482049 0.309320i
\(22\) 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
\(28\) −2.40743 + 1.09741i −0.454961 + 0.207390i
\(29\) 0.651180 + 0.418488i 0.120921 + 0.0777113i 0.599703 0.800222i \(-0.295285\pi\)
−0.478782 + 0.877934i \(0.658922\pi\)
\(30\) −3.42831 1.56566i −0.625921 0.285848i
\(31\) −5.47959 4.74809i −0.984163 0.852782i 0.00494283 0.999988i \(-0.498427\pi\)
−0.989106 + 0.147206i \(0.952972\pi\)
\(32\) −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
\(35\) −0.00700911 + 10.0515i −0.00118476 + 1.69902i
\(36\) 0.837414 + 1.83368i 0.139569 + 0.305613i
\(37\) −0.936384 0.134632i −0.153941 0.0221333i 0.0649136 0.997891i \(-0.479323\pi\)
−0.218854 + 0.975758i \(0.570232\pi\)
\(38\) 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 \(-0.618596\pi\)
−0.0868722 + 0.996219i \(0.527687\pi\)
\(42\) −1.72020 + 1.98242i −0.265432 + 0.305894i
\(43\) 1.26976 1.10026i 0.193637 0.167788i −0.552646 0.833416i \(-0.686382\pi\)
0.746283 + 0.665628i \(0.231836\pi\)
\(44\) 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
\(49\) 6.71369 + 1.98149i 0.959099 + 0.283070i
\(50\) 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 0.138127 0.990414i \(-0.455892\pi\)
−0.658051 + 0.752973i \(0.728619\pi\)
\(54\) 3.76057 + 3.25855i 0.511748 + 0.443432i
\(55\) 21.9267 + 3.15258i 2.95660 + 0.425094i
\(56\) 2.00073 1.73120i 0.267359 0.231342i
\(57\) 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 \(-0.858924\pi\)
−0.267497 + 0.963559i \(0.586197\pi\)
\(60\) 3.73054 + 0.536370i 0.481610 + 0.0692451i
\(61\) −4.78826 + 5.52594i −0.613074 + 0.707525i −0.974376 0.224924i \(-0.927787\pi\)
0.361303 + 0.932449i \(0.382332\pi\)
\(62\) 6.59532 + 3.01198i 0.837606 + 0.382522i
\(63\) 1.50617 5.11634i 0.189760 0.644599i
\(64\) −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 −0.994434 0.105362i \(-0.966400\pi\)
0.779608 0.626268i \(-0.215418\pi\)
\(68\) 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 0.305054 0.952335i \(-0.401325\pi\)
0.771499 + 0.636230i \(0.219507\pi\)
\(72\) −1.32010 1.52348i −0.155575 0.179543i
\(73\) −2.13132 3.31639i −0.249452 0.388154i 0.693835 0.720134i \(-0.255920\pi\)
−0.943286 + 0.331980i \(0.892283\pi\)
\(74\) 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
\(77\) 6.41840 14.0284i 0.731444 1.59869i
\(78\) 0.0806325 0.560811i 0.00912983 0.0634994i
\(79\) −3.57898 + 1.63447i −0.402667 + 0.183892i −0.606445 0.795125i \(-0.707405\pi\)
0.203778 + 0.979017i \(0.434678\pi\)
\(80\) −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 0.760659 + 0.649152i \(0.224876\pi\)
−0.912734 + 0.408555i \(0.866033\pi\)
\(84\) 1.09200 2.38675i 0.119148 0.260416i
\(85\) 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 \(-0.0735063\pi\)
−0.365087 + 0.930973i \(0.618961\pi\)
\(90\) −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 \(-0.0654607\pi\)
−0.996806 + 0.0798634i \(0.974552\pi\)
\(98\) −6.99999 0.00976244i −0.707106 0.000986155i
\(99\) −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 \(-0.607617\pi\)
−0.584032 + 0.811731i \(0.698526\pi\)
\(102\) 5.79175 2.64500i 0.573468 0.261894i
\(103\) −0.244140 0.0716859i −0.0240558 0.00706342i 0.269683 0.962949i \(-0.413081\pi\)
−0.293738 + 0.955886i \(0.594899\pi\)
\(104\) −0.160904 + 0.547988i −0.0157779 + 0.0537346i
\(105\) −6.52473 7.54056i −0.636748 0.735883i
\(106\) 4.11878 + 0.592191i 0.400051 + 0.0575187i
\(107\) −3.52608 3.05537i −0.340879 0.295374i 0.467550 0.883966i \(-0.345137\pi\)
−0.808430 + 0.588593i \(0.799682\pi\)
\(108\) −4.52628 2.06708i −0.435541 0.198905i
\(109\) −7.11987 + 11.0787i −0.681959 + 1.06115i 0.311859 + 0.950129i \(0.399048\pi\)
−0.993818 + 0.111021i \(0.964588\pi\)
\(110\) −21.9267 + 3.15258i −2.09063 + 0.300587i
\(111\) 0.789505 0.507384i 0.0749365 0.0481588i
\(112\) −1.43195 + 2.22475i −0.135307 + 0.210219i
\(113\) 2.45831 + 8.37225i 0.231259 + 0.787595i 0.990587 + 0.136887i \(0.0437097\pi\)
−0.759328 + 0.650708i \(0.774472\pi\)
\(114\) 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
\(119\) −12.8256 11.1291i −1.17572 1.02020i
\(120\) −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
\(126\) −0.00371910 + 5.33343i −0.000331323 + 0.475140i
\(127\) 15.9487 + 4.68295i 1.41522 + 0.415545i 0.897881 0.440238i \(-0.145106\pi\)
0.517335 + 0.855783i \(0.326924\pi\)
\(128\) 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 0.999820 + 0.0189678i \(0.00603799\pi\)
0.669078 + 0.743192i \(0.266689\pi\)
\(132\) −4.86621 3.12732i −0.423549 0.272198i
\(133\) 15.8678 7.23323i 1.37592 0.627200i
\(134\) 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 \(-0.845039\pi\)
0.883823 0.467821i \(-0.154961\pi\)
\(138\) 4.72945 + 0.517484i 0.402597 + 0.0440512i
\(139\) 5.48475i 0.465211i −0.972571 0.232605i \(-0.925275\pi\)
0.972571 0.232605i \(-0.0747251\pi\)
\(140\) 5.42837 + 8.45968i 0.458781 + 0.714973i
\(141\) 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
\(147\) −6.32078 + 2.87596i −0.521329 + 0.237205i
\(148\) −0.860524 + 0.392988i −0.0707346 + 0.0323034i
\(149\) −2.92491 + 9.96133i −0.239618 + 0.816064i 0.748601 + 0.663020i \(0.230726\pi\)
−0.988219 + 0.153044i \(0.951092\pi\)
\(150\) −2.63653 + 8.97921i −0.215272 + 0.733150i
\(151\) −1.79767 3.93635i −0.146293 0.320336i 0.822274 0.569092i \(-0.192705\pi\)
−0.968566 + 0.248757i \(0.919978\pi\)
\(152\) 0.938026 6.52411i 0.0760840 0.529176i
\(153\) −8.47266 + 9.77797i −0.684974 + 0.790502i
\(154\) −2.20614 + 15.2685i −0.177776 + 1.23037i
\(155\) −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 \(-0.785445\pi\)
0.243183 + 0.969980i \(0.421808\pi\)
\(158\) 2.97353 2.57658i 0.236561 0.204981i
\(159\) 3.96081 1.16300i 0.314113 0.0922319i
\(160\) 3.79912 0.300347
\(161\) −3.97595 12.0496i −0.313349 0.949638i
\(162\) 1.11119 0.0873036
\(163\) 17.3401 5.09151i 1.35818 0.398798i 0.480060 0.877235i \(-0.340615\pi\)
0.878122 + 0.478437i \(0.158797\pi\)
\(164\) −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 \(-0.788689\pi\)
0.887666 + 0.460487i \(0.152325\pi\)
\(168\) −0.375345 + 2.59772i −0.0289585 + 0.200419i
\(169\) −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 −0.319594 0.947555i \(-0.603547\pi\)
0.781146 0.624348i \(-0.214635\pi\)
\(174\) 0.698507 0.318998i 0.0529537 0.0241831i
\(175\) 24.7067 3.53471i 1.86765 0.267199i
\(176\) 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 0.994664 0.103167i \(-0.0328977\pi\)
−0.983439 + 0.181241i \(0.941989\pi\)
\(180\) 6.44271 4.14048i 0.480211 0.308613i
\(181\) −14.9567 17.2609i −1.11172 1.28300i −0.955408 0.295288i \(-0.904584\pi\)
−0.156314 0.987707i \(-0.549961\pi\)
\(182\) 1.27174 0.816047i 0.0942679 0.0604894i
\(183\) 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
\(189\) 5.46063 + 11.9792i 0.397202 + 0.871359i
\(190\) −21.0657 13.5381i −1.52826 0.982155i
\(191\) −1.10831 0.506148i −0.0801945 0.0366236i 0.374914 0.927060i \(-0.377672\pi\)
−0.455108 + 0.890436i \(0.650400\pi\)
\(192\) 0.749737 + 0.649651i 0.0541076 + 0.0468845i
\(193\) −0.797611 + 5.54751i −0.0574133 + 0.399318i 0.940769 + 0.339049i \(0.110105\pi\)
−0.998182 + 0.0602696i \(0.980804\pi\)
\(194\) 0.513955 + 1.12541i 0.0368999 + 0.0807994i
\(195\) 2.06531 + 0.606429i 0.147900 + 0.0434273i
\(196\) 6.71919 1.96276i 0.479942 0.140197i
\(197\) −3.19112 6.98757i −0.227358 0.497844i 0.761231 0.648480i \(-0.224595\pi\)
−0.988589 + 0.150636i \(0.951868\pi\)
\(198\) 11.6345 + 1.67279i 0.826828 + 0.118880i
\(199\) −11.0064 + 12.7020i −0.780220 + 0.900422i −0.997125 0.0757703i \(-0.975858\pi\)
0.216905 + 0.976193i \(0.430404\pi\)
\(200\) 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
\(203\) −1.54682 1.34221i −0.108565 0.0942049i
\(204\) −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
\(210\) 8.38485 + 5.39688i 0.578610 + 0.372420i
\(211\) 7.98726 5.13310i 0.549866 0.353377i −0.236021 0.971748i \(-0.575843\pi\)
0.785887 + 0.618371i \(0.212207\pi\)
\(212\) −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
\(217\) 12.5522 + 14.5064i 0.852096 + 0.984758i
\(218\) 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 \(-0.492929\pi\)
−0.741017 + 0.671487i \(0.765656\pi\)
\(224\) 0.747164 2.53806i 0.0499220 0.169581i
\(225\) −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 \(-0.278878\pi\)
−0.851543 + 0.524284i \(0.824333\pi\)
\(228\) −1.84218 6.27390i −0.122002 0.415499i
\(229\) 1.61125 0.106474 0.0532372 0.998582i \(-0.483046\pi\)
0.0532372 + 0.998582i \(0.483046\pi\)
\(230\) −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 0.955402 0.295310i \(-0.0954229\pi\)
−0.428272 + 0.903650i \(0.640877\pi\)
\(234\) −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
\(238\) 15.4415 + 7.06491i 1.00092 + 0.457950i
\(239\) −0.845376 + 5.87972i −0.0546828 + 0.380327i 0.944041 + 0.329827i \(0.106991\pi\)
−0.998724 + 0.0504999i \(0.983919\pi\)
\(240\) 3.42831 1.56566i 0.221296 0.101063i
\(241\) 25.9258 + 7.61250i 1.67003 + 0.490364i 0.973790 0.227447i \(-0.0730379\pi\)
0.696237 + 0.717812i \(0.254856\pi\)
\(242\) 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
\(245\) 3.82141 26.3179i 0.244141 1.68139i
\(246\) −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 \(-0.609668\pi\)
0.224730 + 0.974421i \(0.427850\pi\)
\(252\) −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 0.949447 + 0.313929i \(0.101645\pi\)
−0.108855 + 0.994058i \(0.534718\pi\)
\(258\) −0.237206 1.64981i −0.0147678 0.102712i
\(259\) 2.40104 + 0.706827i 0.149193 + 0.0439201i
\(260\) −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 −0.394693 0.918813i \(-0.629149\pi\)
0.435924 + 0.899984i \(0.356422\pi\)
\(264\) 5.55016 + 1.62967i 0.341589 + 0.100300i
\(265\) −4.45382 + 15.1683i −0.273596 + 0.931781i
\(266\) −13.1872 + 11.4107i −0.808561 + 0.699636i
\(267\) −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 \(-0.421936\pi\)
−0.574138 + 0.818758i \(0.694663\pi\)
\(270\) 10.2204 15.9032i 0.621993 0.967841i
\(271\) −2.98517 + 0.429202i −0.181336 + 0.0260722i −0.232385 0.972624i \(-0.574653\pi\)
0.0510485 + 0.998696i \(0.483744\pi\)
\(272\) 5.39933 3.46994i 0.327382 0.210396i
\(273\) 0.811313 1.26049i 0.0491029 0.0762886i
\(274\) 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
\(280\) −7.59185 6.58765i −0.453700 0.393688i
\(281\) 25.8041 3.71006i 1.53934 0.221324i 0.680186 0.733039i \(-0.261899\pi\)
0.859155 + 0.511716i \(0.170990\pi\)
\(282\) −0.904276 0.581143i −0.0538488 0.0346065i
\(283\) 6.52483 14.2874i 0.387861 0.849297i −0.610498 0.792018i \(-0.709030\pi\)
0.998358 0.0572784i \(-0.0182423\pi\)
\(284\) 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
\(287\) 7.71716 + 0.00538131i 0.455529 + 0.000317649i
\(288\) −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 \(-0.448607\pi\)
−0.831022 + 0.556240i \(0.812243\pi\)
\(294\) 5.25449 4.54023i 0.306448 0.264792i
\(295\) 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
\(301\) −3.74124 + 2.40066i −0.215642 + 0.138372i
\(302\) 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 \(-0.197520\pi\)
−0.459761 + 0.888043i \(0.652065\pi\)
\(308\) −2.18484 15.2715i −0.124493 0.870176i
\(309\) 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 −0.718945 0.695067i \(-0.755375\pi\)
0.980597 0.196037i \(-0.0628072\pi\)
\(312\) −0.235365 0.515378i −0.0133249 0.0291775i
\(313\) −3.31457 + 23.0533i −0.187351 + 1.30305i 0.651483 + 0.758664i \(0.274147\pi\)
−0.838833 + 0.544388i \(0.816762\pi\)
\(314\) 5.24869 6.05731i 0.296201 0.341834i
\(315\) −20.0541 2.89762i −1.12992 0.163263i
\(316\) −2.12717 + 3.30995i −0.119663 + 0.186199i
\(317\) −1.08894 7.57372i −0.0611608 0.425383i −0.997280 0.0737008i \(-0.976519\pi\)
0.936120 0.351682i \(-0.114390\pi\)
\(318\) −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
\(322\) 7.20965 + 10.4413i 0.401778 + 0.581871i
\(323\) −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
\(329\) −0.409962 + 2.83730i −0.0226019 + 0.156425i
\(330\) 14.3912 16.6083i 0.792208 0.914257i
\(331\) 3.89365 27.0809i 0.214014 1.48850i −0.545554 0.838075i \(-0.683681\pi\)
0.759569 0.650427i \(-0.225410\pi\)
\(332\) 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
\(336\) −0.371722 2.59825i −0.0202791 0.141746i
\(337\) 1.33812 + 1.15949i 0.0728921 + 0.0631614i 0.690545 0.723290i \(-0.257371\pi\)
−0.617653 + 0.786451i \(0.711916\pi\)
\(338\) 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
\(343\) −16.8305 7.72882i −0.908761 0.417317i
\(344\) 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 −0.913923 0.405888i \(-0.866962\pi\)
−0.549401 + 0.835559i \(0.685144\pi\)
\(348\) −0.580341 + 0.502868i −0.0311095 + 0.0269566i
\(349\) 10.4042 + 16.1893i 0.556926 + 0.866593i 0.999546 0.0301158i \(-0.00958760\pi\)
−0.442621 + 0.896709i \(0.645951\pi\)
\(350\) −22.7101 + 10.3522i −1.21390 + 0.553349i
\(351\) −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 \(-0.184983\pi\)
−0.424437 + 0.905457i \(0.639528\pi\)
\(354\) −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
\(357\) 16.8458 + 0.0117469i 0.891577 + 0.000621712i
\(358\) −0.438387 0.959933i −0.0231695 0.0507340i
\(359\) 14.4707 + 2.08058i 0.763737 + 0.109809i 0.513166 0.858290i \(-0.328473\pi\)
0.250571 + 0.968098i \(0.419382\pi\)
\(360\) −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
\(364\) −0.990321 + 1.14128i −0.0519069 + 0.0598195i
\(365\) −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 \(-0.524564\pi\)
−0.0770936 + 0.997024i \(0.524564\pi\)
\(368\) 4.79309 0.162144i 0.249857 0.00845232i
\(369\) 5.87985i 0.306093i
\(370\) −1.01255 3.44844i −0.0526401 0.179276i
\(371\) 9.25748 + 5.95855i 0.480624 + 0.309352i
\(372\) 6.05101 3.88875i 0.313730 0.201622i
\(373\) 4.51001 0.648442i 0.233519 0.0335750i −0.0245615 0.999698i \(-0.507819\pi\)
0.258081 + 0.966123i \(0.416910\pi\)
\(374\) 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
\(378\) −8.61437 9.95553i −0.443075 0.512057i
\(379\) −7.67694 + 26.1453i −0.394338 + 1.34299i 0.488192 + 0.872736i \(0.337657\pi\)
−0.882530 + 0.470256i \(0.844162\pi\)
\(380\) 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 0.140978 + 0.990013i \(0.454975\pi\)
−0.999999 + 0.00135042i \(0.999570\pi\)
\(384\) −0.902395 0.412110i −0.0460501 0.0210304i
\(385\) −56.2235 16.5513i −2.86542 0.843533i
\(386\) −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 0.620176 + 0.784463i \(0.287061\pi\)
−0.0976123 + 0.995225i \(0.531121\pi\)
\(390\) −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 \(-0.768842\pi\)
0.914634 + 0.404282i \(0.132479\pi\)
\(398\) 6.98196 15.2884i 0.349974 0.766336i
\(399\) −7.19763 + 15.7316i −0.360332 + 0.787563i
\(400\) −1.34250 + 9.33732i −0.0671252 + 0.466866i
\(401\) 5.17703 2.36427i 0.258528 0.118066i −0.281935 0.959434i \(-0.590976\pi\)
0.540463 + 0.841368i \(0.318249\pi\)
\(402\) −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
\(406\) 1.86230 + 0.852056i 0.0924246 + 0.0422868i
\(407\) 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 \(-0.603981\pi\)
−0.0410537 + 0.999157i \(0.513071\pi\)
\(410\) −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 0.638501 + 0.769621i \(0.279555\pi\)
−0.395810 + 0.918332i \(0.629536\pi\)
\(420\) −9.56569 2.81599i −0.466758 0.137406i
\(421\) −25.3129 11.5600i −1.23367 0.563400i −0.311526 0.950238i \(-0.600840\pi\)
−0.922148 + 0.386838i \(0.873567\pi\)
\(422\) −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
\(427\) 14.6291 12.6583i 0.707952 0.612580i
\(428\) −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 −0.980010 0.198948i \(-0.936247\pi\)
0.588081 + 0.808802i \(0.299884\pi\)
\(432\) −4.92529 + 0.708150i −0.236968 + 0.0340709i
\(433\) −11.4178 + 7.33775i −0.548702 + 0.352630i −0.785434 0.618945i \(-0.787560\pi\)
0.236732 + 0.971575i \(0.423924\pi\)
\(434\) −16.1306 10.3824i −0.774295 0.498372i
\(435\) 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 0.956510 + 0.291699i \(0.0942207\pi\)
−0.646963 + 0.762522i \(0.723961\pi\)
\(440\) −16.7415 + 14.5066i −0.798120 + 0.691575i
\(441\) −5.87979 + 12.8276i −0.279990 + 0.610837i
\(442\) −3.62826 + 0.521665i −0.172579 + 0.0248131i
\(443\) −13.6113 8.74747i −0.646694 0.415605i 0.175763 0.984432i \(-0.443761\pi\)
−0.822457 + 0.568828i \(0.807397\pi\)
\(444\) 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
\(448\) −0.00184493 + 2.64575i −8.71647e−5 + 0.125000i
\(449\) 10.3241 + 3.03142i 0.487223 + 0.143061i 0.516112 0.856521i \(-0.327379\pi\)
−0.0288893 + 0.999583i \(0.509197\pi\)
\(450\) 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
\(455\) 2.38111 + 5.22354i 0.111628 + 0.244884i
\(456\) 3.53512 + 5.50076i 0.165547 + 0.257597i
\(457\) −15.1773 + 13.1512i −0.709965 + 0.615188i −0.933107 0.359598i \(-0.882914\pi\)
0.223142 + 0.974786i \(0.428368\pi\)
\(458\) −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 \(0.800473\pi\)
\(462\) −8.26514 12.8805i −0.384529 0.599257i
\(463\) 3.41896 + 3.94568i 0.158892 + 0.183372i 0.829614 0.558338i \(-0.188561\pi\)
−0.670721 + 0.741710i \(0.734015\pi\)
\(464\) 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 −0.371065 0.928607i \(-0.621007\pi\)
0.944790 0.327676i \(-0.106265\pi\)
\(468\) 0.870091 + 0.753938i 0.0402200 + 0.0348508i
\(469\) 2.33870 + 16.3469i 0.107991 + 0.754831i
\(470\) 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
\(476\) −16.8064 2.42836i −0.770321 0.111304i
\(477\) 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 \(-0.478346\pi\)
0.935766 + 0.352621i \(0.114710\pi\)
\(480\) −2.84834 + 2.46810i −0.130008 + 0.112653i
\(481\) −0.518403 + 0.152217i −0.0236372 + 0.00694050i
\(482\) −27.0203 −1.23074
\(483\) 10.8089 + 6.45101i 0.491823 + 0.293531i
\(484\) −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 −0.797093 0.603857i \(-0.793630\pi\)
0.218163 + 0.975912i \(0.429993\pi\)
\(488\) −1.04059 7.23745i −0.0471052 0.327624i
\(489\) −9.69281 + 15.0823i −0.438324 + 0.682045i
\(490\) 3.74799 + 26.3284i 0.169317 + 1.18940i
\(491\) 18.6896 21.5689i 0.843448 0.973391i −0.156450 0.987686i \(-0.550005\pi\)
0.999898 + 0.0142950i \(0.00455041\pi\)
\(492\) 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
\(497\) −24.7612 + 3.54251i −1.11069 + 0.158903i
\(498\) 7.29888 + 6.32452i 0.327071 + 0.283408i
\(499\) 13.0982 28.6810i 0.586355 1.28394i −0.351265 0.936276i \(-0.614248\pi\)
0.937620 0.347662i \(-0.113024\pi\)
\(500\) 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 \(-0.359264\pi\)
−0.955532 + 0.294887i \(0.904718\pi\)
\(504\) 2.88034 + 4.48878i 0.128301 + 0.199946i
\(505\) 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 \(-0.901816\pi\)
0.164898 + 0.986311i \(0.447270\pi\)
\(510\) −13.0778 20.3495i −0.579097 0.901092i
\(511\) 4.32620 + 9.49056i 0.191380 + 0.419838i
\(512\) 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
\(518\) −2.50291 0.00174533i −0.109972 7.66852e-5i
\(519\) 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 \(-0.656705\pi\)
0.939543 + 0.342430i \(0.111250\pi\)
\(522\) 0.648208 1.41938i 0.0283713 0.0621245i
\(523\) 1.65997 + 1.06680i 0.0725855 + 0.0466478i 0.576430 0.817146i \(-0.304445\pi\)
−0.503845 + 0.863794i \(0.668082\pi\)
\(524\) 20.7853 2.98848i 0.908011 0.130552i
\(525\) −16.2272 + 18.7008i −0.708213 + 0.816171i
\(526\) −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
\(532\) 9.43829 14.6638i 0.409202 0.635755i
\(533\) −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
\(539\) −22.1147 + 34.3058i −0.952547 + 1.47766i
\(540\) −5.32593 + 18.1385i −0.229192 + 0.780555i
\(541\) 10.6683 + 3.13249i 0.458665 + 0.134676i 0.502899 0.864345i \(-0.332267\pi\)
−0.0442342 + 0.999021i \(0.514085\pi\)
\(542\) 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
\(546\) −0.423327 + 1.43801i −0.0181167 + 0.0615411i
\(547\) 3.37559 + 23.4778i 0.144330 + 1.00384i 0.925291 + 0.379258i \(0.123821\pi\)
−0.780961 + 0.624580i \(0.785270\pi\)
\(548\) −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 −0.716274 0.697819i \(-0.754154\pi\)
−0.490661 + 0.871350i \(0.663245\pi\)
\(558\) −7.90200 + 12.2957i −0.334518 + 0.520520i
\(559\) 0.398618 0.872851i 0.0168597 0.0369177i
\(560\) 9.14029 + 4.18193i 0.386248 + 0.176719i
\(561\) 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 \(-0.304813\pi\)
0.0419862 + 0.999118i \(0.486631\pi\)
\(564\) 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
\(567\) 2.67341 + 1.22316i 0.112273 + 0.0513679i
\(568\) −3.92740 + 8.59981i −0.164790 + 0.360840i
\(569\) −21.0945 + 32.8237i −0.884327 + 1.37604i 0.0419195 + 0.999121i \(0.486653\pi\)
−0.926246 + 0.376919i \(0.876984\pi\)
\(570\) 24.5887 3.53532i 1.02991 0.148078i
\(571\) −5.44510 8.47274i −0.227870 0.354573i 0.708426 0.705786i \(-0.249406\pi\)
−0.936296 + 0.351213i \(0.885769\pi\)
\(572\) 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 −0.998477 0.0551663i \(-0.982431\pi\)
0.810147 0.586226i \(-0.199387\pi\)
\(578\) −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
\(581\) 7.27384 24.7087i 0.301770 1.02509i
\(582\) −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 \(-0.983122\pi\)
0.868725 + 0.495294i \(0.164940\pi\)
\(588\) −3.76252 + 5.83668i −0.155164 + 0.240701i
\(589\) 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 \(-0.759976\pi\)
−0.506516 + 0.862230i \(0.669067\pi\)
\(594\) −24.4082 + 15.6862i −1.00148 + 0.643612i
\(595\) −34.9160 + 54.2472i −1.43142 + 2.22392i
\(596\) 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 0.485624 0.874168i \(-0.338593\pi\)
0.934382 0.356274i \(-0.115953\pi\)
\(602\) 2.91335 3.35745i 0.118739 0.136839i
\(603\) 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 \(-0.372827\pi\)
0.113681 + 0.993517i \(0.463736\pi\)
\(608\) −2.73808 5.99557i −0.111044 0.243152i
\(609\) 2.03167 + 0.00141672i 0.0823276 + 5.74085e-5i
\(610\) −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 0.536885 0.843655i \(-0.319601\pi\)
−0.758662 + 0.651485i \(0.774146\pi\)
\(614\) −7.46155 3.40758i −0.301124 0.137519i
\(615\) −9.24804 5.94335i −0.372917 0.239659i
\(616\) 6.39883 + 14.0374i 0.257816 + 0.565582i
\(617\) −3.03799 4.72721i −0.122305 0.190310i 0.774702 0.632326i \(-0.217900\pi\)
−0.897007 + 0.442016i \(0.854263\pi\)
\(618\) −0.190768 + 0.165301i −0.00767382 + 0.00664940i
\(619\) −21.7789 + 6.39487i −0.875369 + 0.257032i −0.688398 0.725334i \(-0.741686\pi\)
−0.186972 + 0.982365i \(0.559867\pi\)
\(620\) 27.5457i 1.10626i
\(621\) 12.2156 20.5002i 0.490196 0.822645i
\(622\) 16.3782i 0.656707i
\(623\) −12.5227 19.5156i −0.501712 0.781877i
\(624\) 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
\(630\) 20.0581 2.86965i 0.799136 0.114330i
\(631\) 10.3870 4.74357i 0.413499 0.188839i −0.197793 0.980244i \(-0.563377\pi\)
0.611292 + 0.791405i \(0.290650\pi\)
\(632\) 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
\(637\) 3.95795 0.563435i 0.156820 0.0223241i
\(638\) 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 −0.450098 0.892979i \(-0.648611\pi\)
0.819834 + 0.572601i \(0.194065\pi\)
\(642\) −4.44107 + 1.30402i −0.175275 + 0.0514654i
\(643\) −36.3882 −1.43501 −0.717505 0.696554i \(-0.754716\pi\)
−0.717505 + 0.696554i \(0.754716\pi\)
\(644\) −9.85927 7.98717i −0.388510 0.314738i
\(645\) 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 \(-0.894400\pi\)
0.187831 + 0.982201i \(0.439854\pi\)
\(648\) 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
\(651\) −18.8349 2.72146i −0.738198 0.106662i
\(652\) 11.8347 13.6580i 0.463484 0.534890i
\(653\) 3.50287 24.3630i 0.137078 0.953398i −0.798931 0.601422i \(-0.794601\pi\)
0.936009 0.351976i \(-0.114490\pi\)
\(654\) 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
\(658\) −0.406004 2.83787i −0.0158277 0.110632i
\(659\) −22.4764 19.4759i −0.875557 0.758675i 0.0960245 0.995379i \(-0.469387\pi\)
−0.971582 + 0.236704i \(0.923933\pi\)
\(660\) −9.12913 + 19.9900i −0.355351 + 0.778110i
\(661\) 15.5461 + 9.99088i 0.604674 + 0.388600i 0.806856 0.590748i \(-0.201167\pi\)
−0.202183 + 0.979348i \(0.564803\pi\)
\(662\) 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
\(665\) −35.7795 55.7595i −1.38747 2.16226i
\(666\) 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
\(672\) 1.08868 + 2.38827i 0.0419966 + 0.0921296i
\(673\) 5.13028 + 3.29703i 0.197758 + 0.127091i 0.635772 0.771877i \(-0.280682\pi\)
−0.438014 + 0.898968i \(0.644318\pi\)
\(674\) −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 0.653516 + 0.756913i \(0.273293\pi\)
0.144075 + 0.989567i \(0.453979\pi\)
\(678\) 8.30564 + 2.43876i 0.318976 + 0.0936599i
\(679\) −0.00228256 + 3.27335i −8.75967e−5 + 0.125620i
\(680\) 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 −0.541946 0.840413i \(-0.682312\pi\)
0.990041 0.140778i \(-0.0449605\pi\)
\(684\) −11.1776 7.18342i −0.427387 0.274665i
\(685\) −41.1823 + 5.92112i −1.57349 + 0.226234i
\(686\) 18.3262 + 2.67405i 0.699697 + 0.102096i
\(687\) −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
\(693\) 26.1500 + 16.8314i 0.993357 + 0.639371i
\(694\) 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
\(700\) 18.8736 16.3310i 0.713355 0.617255i
\(701\) 1.30455 4.44290i 0.0492723 0.167806i −0.931181 0.364556i \(-0.881221\pi\)
0.980454 + 0.196750i \(0.0630388\pi\)
\(702\) 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
\(707\) 23.5975 + 6.94673i 0.887475 + 0.261259i
\(708\) −1.39590 9.70868i −0.0524610 0.364875i
\(709\) −10.4525 16.2645i −0.392553 0.610825i 0.587580 0.809166i \(-0.300081\pi\)
−0.980133 + 0.198341i \(0.936445\pi\)
\(710\) 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 \(-0.823789\pi\)
0.831600 + 0.555375i \(0.187425\pi\)
\(720\) 3.18144 6.96638i 0.118565 0.259622i
\(721\) 0.612172 + 0.280085i 0.0227985 + 0.0104309i
\(722\) −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 0.842576 + 0.538578i \(0.181038\pi\)
−0.960180 + 0.279381i \(0.909871\pi\)
\(728\) 0.628670 1.37406i 0.0233001 0.0509260i
\(729\) −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 0.999748 + 0.0224457i \(0.00714528\pi\)
−0.120062 + 0.992766i \(0.538309\pi\)
\(734\) 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 −0.898994 0.437960i \(-0.855701\pi\)
−0.305562 0.952172i \(-0.598844\pi\)
\(740\) 1.94307 + 3.02348i 0.0714288 + 0.111145i
\(741\) −0.531465 3.69642i −0.0195239 0.135791i
\(742\) −10.5612 3.10905i −0.387714 0.114137i
\(743\) 32.8796 + 15.0156i 1.20624 + 0.550869i 0.914093 0.405506i \(-0.132904\pi\)
0.292143 + 0.956375i \(0.405632\pi\)
\(744\) −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
\(749\) 8.07724 + 9.33477i 0.295136 + 0.341085i
\(750\) 16.5387 + 2.37791i 0.603909 + 0.0868291i
\(751\) 4.84583 + 4.19893i 0.176827 + 0.153221i 0.738777 0.673949i \(-0.235403\pi\)
−0.561951 + 0.827171i \(0.689949\pi\)
\(752\) −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
\(756\) 11.0702 + 7.12531i 0.402620 + 0.259145i
\(757\) −6.86795 23.3901i −0.249620 0.850127i −0.985012 0.172485i \(-0.944820\pi\)
0.735392 0.677642i \(-0.236998\pi\)
\(758\) 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 0.880313 + 0.474393i \(0.157333\pi\)
−0.484090 + 0.875018i \(0.660849\pi\)
\(762\) 12.4621 10.7985i 0.451455 0.391188i
\(763\) 22.8355 26.3165i 0.826700 0.952720i
\(764\) −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 \(-0.189361\pi\)
−0.965899 + 0.258920i \(0.916633\pi\)
\(770\) 58.6091 + 0.0408692i 2.11213 + 0.00147282i
\(771\) −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 −0.936346 0.351078i \(-0.885815\pi\)
0.997328 0.0730580i \(-0.0232758\pi\)