Properties

Label 384.2.v.a.13.19
Level $384$
Weight $2$
Character 384.13
Analytic conductor $3.066$
Analytic rank $0$
Dimension $512$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 384 = 2^{7} \cdot 3 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 384.v (of order \(32\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.06625543762\)
Analytic rank: \(0\)
Dimension: \(512\)
Relative dimension: \(32\) over \(\Q(\zeta_{32})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{32}]$

Embedding invariants

Embedding label 13.19
Character \(\chi\) \(=\) 384.13
Dual form 384.2.v.a.325.19

$q$-expansion

\(f(q)\) \(=\) \(q+(0.246397 + 1.39258i) q^{2} +(0.290285 + 0.956940i) q^{3} +(-1.87858 + 0.686257i) q^{4} +(0.267357 + 2.71452i) q^{5} +(-1.26109 + 0.640033i) q^{6} +(-0.343422 + 0.513967i) q^{7} +(-1.41855 - 2.44698i) q^{8} +(-0.831470 + 0.555570i) q^{9} +O(q^{10})\) \(q+(0.246397 + 1.39258i) q^{2} +(0.290285 + 0.956940i) q^{3} +(-1.87858 + 0.686257i) q^{4} +(0.267357 + 2.71452i) q^{5} +(-1.26109 + 0.640033i) q^{6} +(-0.343422 + 0.513967i) q^{7} +(-1.41855 - 2.44698i) q^{8} +(-0.831470 + 0.555570i) q^{9} +(-3.71432 + 1.04117i) q^{10} +(0.294246 - 0.157278i) q^{11} +(-1.20203 - 1.59848i) q^{12} +(-2.51375 - 0.247583i) q^{13} +(-0.800360 - 0.351603i) q^{14} +(-2.52003 + 1.04383i) q^{15} +(3.05810 - 2.57837i) q^{16} +(4.21613 + 1.74638i) q^{17} +(-0.978550 - 1.02100i) q^{18} +(-1.78752 + 1.46698i) q^{19} +(-2.36511 - 4.91597i) q^{20} +(-0.591525 - 0.179437i) q^{21} +(0.291523 + 0.371009i) q^{22} +(0.582156 - 2.92670i) q^{23} +(1.92983 - 2.06779i) q^{24} +(-2.39323 + 0.476044i) q^{25} +(-0.274602 - 3.56162i) q^{26} +(-0.773010 - 0.634393i) q^{27} +(0.292430 - 1.20120i) q^{28} +(-0.221297 + 0.414017i) q^{29} +(-2.07455 - 3.25215i) q^{30} +(-0.222556 + 0.222556i) q^{31} +(4.34411 + 3.62336i) q^{32} +(0.235920 + 0.235920i) q^{33} +(-1.39313 + 6.30162i) q^{34} +(-1.48699 - 0.794813i) q^{35} +(1.18072 - 1.61428i) q^{36} +(-7.22167 + 8.79964i) q^{37} +(-2.48333 - 2.12781i) q^{38} +(-0.492782 - 2.47738i) q^{39} +(6.26313 - 4.50490i) q^{40} +(3.19749 + 0.636020i) q^{41} +(0.104131 - 0.867961i) q^{42} +(0.347543 - 1.14570i) q^{43} +(-0.444830 + 0.497386i) q^{44} +(-1.73041 - 2.10851i) q^{45} +(4.21911 + 0.0895709i) q^{46} +(2.91400 - 7.03501i) q^{47} +(3.35507 + 2.17796i) q^{48} +(2.53256 + 6.11414i) q^{49} +(-1.25262 - 3.21548i) q^{50} +(-0.447302 + 4.54153i) q^{51} +(4.89219 - 1.25998i) q^{52} +(4.77800 + 8.93902i) q^{53} +(0.692978 - 1.23279i) q^{54} +(0.505602 + 0.756688i) q^{55} +(1.74483 + 0.111261i) q^{56} +(-1.92270 - 1.28471i) q^{57} +(-0.631080 - 0.206161i) q^{58} +(-0.308287 + 0.0303636i) q^{59} +(4.01773 - 3.69030i) q^{60} +(-0.821867 + 0.249311i) q^{61} +(-0.364765 - 0.255090i) q^{62} -0.618143i q^{63} +(-3.97545 + 6.94232i) q^{64} -6.88984i q^{65} +(-0.270409 + 0.386669i) q^{66} +(12.6200 - 3.82822i) q^{67} +(-9.11879 - 0.387355i) q^{68} +(2.96967 - 0.292487i) q^{69} +(0.740453 - 2.26660i) q^{70} +(0.852169 + 0.569401i) q^{71} +(2.53895 + 1.24649i) q^{72} +(3.54645 + 5.30764i) q^{73} +(-14.0336 - 7.88858i) q^{74} +(-1.15026 - 2.15199i) q^{75} +(2.35127 - 3.98254i) q^{76} +(-0.0202149 + 0.205245i) q^{77} +(3.32854 - 1.29666i) q^{78} +(2.11907 + 5.11588i) q^{79} +(7.81667 + 7.61194i) q^{80} +(0.382683 - 0.923880i) q^{81} +(-0.0978583 + 4.60948i) q^{82} +(-1.75844 - 2.14267i) q^{83} +(1.23437 - 0.0688521i) q^{84} +(-3.61337 + 11.9117i) q^{85} +(1.68111 + 0.201686i) q^{86} +(-0.460429 - 0.0915849i) q^{87} +(-0.802257 - 0.496908i) q^{88} +(-2.44979 - 12.3159i) q^{89} +(2.50991 - 2.92927i) q^{90} +(0.990527 - 1.20696i) q^{91} +(0.914843 + 5.89754i) q^{92} +(-0.277577 - 0.148368i) q^{93} +(10.5148 + 2.32458i) q^{94} +(-4.46006 - 4.46006i) q^{95} +(-2.20631 + 5.20886i) q^{96} +(5.61426 - 5.61426i) q^{97} +(-7.89044 + 5.03331i) q^{98} +(-0.157278 + 0.294246i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 512q + O(q^{10}) \) \( 512q - 96q^{50} - 96q^{52} - 32q^{54} - 224q^{56} - 192q^{60} - 192q^{62} - 192q^{64} - 192q^{66} - 192q^{68} - 192q^{70} - 224q^{74} - 32q^{76} - 96q^{78} - 96q^{80} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/384\mathbb{Z}\right)^\times\).

\(n\) \(127\) \(133\) \(257\)
\(\chi(n)\) \(1\) \(e\left(\frac{15}{32}\right)\) \(1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.246397 + 1.39258i 0.174229 + 0.984705i
\(3\) 0.290285 + 0.956940i 0.167596 + 0.552490i
\(4\) −1.87858 + 0.686257i −0.939288 + 0.343129i
\(5\) 0.267357 + 2.71452i 0.119566 + 1.21397i 0.848428 + 0.529311i \(0.177550\pi\)
−0.728862 + 0.684661i \(0.759950\pi\)
\(6\) −1.26109 + 0.640033i −0.514839 + 0.261292i
\(7\) −0.343422 + 0.513967i −0.129801 + 0.194261i −0.890677 0.454636i \(-0.849769\pi\)
0.760876 + 0.648897i \(0.224769\pi\)
\(8\) −1.41855 2.44698i −0.501532 0.865139i
\(9\) −0.831470 + 0.555570i −0.277157 + 0.185190i
\(10\) −3.71432 + 1.04117i −1.17457 + 0.329246i
\(11\) 0.294246 0.157278i 0.0887184 0.0474210i −0.426441 0.904515i \(-0.640233\pi\)
0.515159 + 0.857094i \(0.327733\pi\)
\(12\) −1.20203 1.59848i −0.346996 0.461440i
\(13\) −2.51375 0.247583i −0.697190 0.0686672i −0.256788 0.966468i \(-0.582664\pi\)
−0.440402 + 0.897801i \(0.645164\pi\)
\(14\) −0.800360 0.351603i −0.213905 0.0939699i
\(15\) −2.52003 + 1.04383i −0.650668 + 0.269516i
\(16\) 3.05810 2.57837i 0.764525 0.644594i
\(17\) 4.21613 + 1.74638i 1.02256 + 0.423559i 0.830022 0.557730i \(-0.188328\pi\)
0.192540 + 0.981289i \(0.438328\pi\)
\(18\) −0.978550 1.02100i −0.230646 0.240652i
\(19\) −1.78752 + 1.46698i −0.410086 + 0.336549i −0.816711 0.577046i \(-0.804205\pi\)
0.406626 + 0.913595i \(0.366705\pi\)
\(20\) −2.36511 4.91597i −0.528855 1.09924i
\(21\) −0.591525 0.179437i −0.129081 0.0391564i
\(22\) 0.291523 + 0.371009i 0.0621530 + 0.0790993i
\(23\) 0.582156 2.92670i 0.121388 0.610259i −0.871420 0.490538i \(-0.836800\pi\)
0.992808 0.119720i \(-0.0381998\pi\)
\(24\) 1.92983 2.06779i 0.393926 0.422085i
\(25\) −2.39323 + 0.476044i −0.478647 + 0.0952088i
\(26\) −0.274602 3.56162i −0.0538539 0.698490i
\(27\) −0.773010 0.634393i −0.148766 0.122089i
\(28\) 0.292430 1.20120i 0.0552641 0.227006i
\(29\) −0.221297 + 0.414017i −0.0410938 + 0.0768810i −0.901630 0.432508i \(-0.857629\pi\)
0.860536 + 0.509389i \(0.170129\pi\)
\(30\) −2.07455 3.25215i −0.378759 0.593759i
\(31\) −0.222556 + 0.222556i −0.0399722 + 0.0399722i −0.726810 0.686838i \(-0.758998\pi\)
0.686838 + 0.726810i \(0.258998\pi\)
\(32\) 4.34411 + 3.62336i 0.767937 + 0.640525i
\(33\) 0.235920 + 0.235920i 0.0410684 + 0.0410684i
\(34\) −1.39313 + 6.30162i −0.238921 + 1.08072i
\(35\) −1.48699 0.794813i −0.251347 0.134348i
\(36\) 1.18072 1.61428i 0.196786 0.269047i
\(37\) −7.22167 + 8.79964i −1.18724 + 1.44665i −0.320955 + 0.947094i \(0.604004\pi\)
−0.866281 + 0.499557i \(0.833496\pi\)
\(38\) −2.48333 2.12781i −0.402850 0.345177i
\(39\) −0.492782 2.47738i −0.0789083 0.396699i
\(40\) 6.26313 4.50490i 0.990289 0.712287i
\(41\) 3.19749 + 0.636020i 0.499363 + 0.0993296i 0.438344 0.898807i \(-0.355565\pi\)
0.0610189 + 0.998137i \(0.480565\pi\)
\(42\) 0.104131 0.867961i 0.0160678 0.133929i
\(43\) 0.347543 1.14570i 0.0529998 0.174717i −0.926445 0.376431i \(-0.877151\pi\)
0.979444 + 0.201714i \(0.0646512\pi\)
\(44\) −0.444830 + 0.497386i −0.0670607 + 0.0749838i
\(45\) −1.73041 2.10851i −0.257954 0.314318i
\(46\) 4.21911 + 0.0895709i 0.622074 + 0.0132065i
\(47\) 2.91400 7.03501i 0.425050 1.02616i −0.555786 0.831326i \(-0.687583\pi\)
0.980836 0.194836i \(-0.0624175\pi\)
\(48\) 3.35507 + 2.17796i 0.484263 + 0.314361i
\(49\) 2.53256 + 6.11414i 0.361794 + 0.873449i
\(50\) −1.25262 3.21548i −0.177147 0.454738i
\(51\) −0.447302 + 4.54153i −0.0626348 + 0.635942i
\(52\) 4.89219 1.25998i 0.678424 0.174728i
\(53\) 4.77800 + 8.93902i 0.656309 + 1.22787i 0.961298 + 0.275512i \(0.0888475\pi\)
−0.304988 + 0.952356i \(0.598653\pi\)
\(54\) 0.692978 1.23279i 0.0943023 0.167762i
\(55\) 0.505602 + 0.756688i 0.0681754 + 0.102032i
\(56\) 1.74483 + 0.111261i 0.233162 + 0.0148678i
\(57\) −1.92270 1.28471i −0.254668 0.170164i
\(58\) −0.631080 0.206161i −0.0828649 0.0270703i
\(59\) −0.308287 + 0.0303636i −0.0401356 + 0.00395301i −0.118065 0.993006i \(-0.537669\pi\)
0.0779294 + 0.996959i \(0.475169\pi\)
\(60\) 4.01773 3.69030i 0.518687 0.476416i
\(61\) −0.821867 + 0.249311i −0.105229 + 0.0319210i −0.342460 0.939532i \(-0.611260\pi\)
0.237231 + 0.971453i \(0.423760\pi\)
\(62\) −0.364765 0.255090i −0.0463252 0.0323965i
\(63\) 0.618143i 0.0778786i
\(64\) −3.97545 + 6.94232i −0.496931 + 0.867790i
\(65\) 6.88984i 0.854580i
\(66\) −0.270409 + 0.386669i −0.0332850 + 0.0475956i
\(67\) 12.6200 3.82822i 1.54177 0.467692i 0.598894 0.800828i \(-0.295607\pi\)
0.942879 + 0.333136i \(0.108107\pi\)
\(68\) −9.11879 0.387355i −1.10582 0.0469737i
\(69\) 2.96967 0.292487i 0.357506 0.0352112i
\(70\) 0.740453 2.26660i 0.0885011 0.270910i
\(71\) 0.852169 + 0.569401i 0.101134 + 0.0675755i 0.605109 0.796143i \(-0.293130\pi\)
−0.503975 + 0.863718i \(0.668130\pi\)
\(72\) 2.53895 + 1.24649i 0.299218 + 0.146900i
\(73\) 3.54645 + 5.30764i 0.415081 + 0.621213i 0.978816 0.204743i \(-0.0656359\pi\)
−0.563735 + 0.825956i \(0.690636\pi\)
\(74\) −14.0336 7.88858i −1.63138 0.917029i
\(75\) −1.15026 2.15199i −0.132821 0.248491i
\(76\) 2.35127 3.98254i 0.269709 0.456828i
\(77\) −0.0202149 + 0.205245i −0.00230370 + 0.0233898i
\(78\) 3.32854 1.29666i 0.376883 0.146818i
\(79\) 2.11907 + 5.11588i 0.238414 + 0.575581i 0.997119 0.0758525i \(-0.0241678\pi\)
−0.758705 + 0.651434i \(0.774168\pi\)
\(80\) 7.81667 + 7.61194i 0.873930 + 0.851041i
\(81\) 0.382683 0.923880i 0.0425204 0.102653i
\(82\) −0.0978583 + 4.60948i −0.0108066 + 0.509032i
\(83\) −1.75844 2.14267i −0.193014 0.235188i 0.667507 0.744604i \(-0.267362\pi\)
−0.860521 + 0.509416i \(0.829862\pi\)
\(84\) 1.23437 0.0688521i 0.134680 0.00751238i
\(85\) −3.61337 + 11.9117i −0.391925 + 1.29200i
\(86\) 1.68111 + 0.201686i 0.181279 + 0.0217484i
\(87\) −0.460429 0.0915849i −0.0493631 0.00981894i
\(88\) −0.802257 0.496908i −0.0855209 0.0529706i
\(89\) −2.44979 12.3159i −0.259677 1.30548i −0.861869 0.507132i \(-0.830706\pi\)
0.602192 0.798351i \(-0.294294\pi\)
\(90\) 2.50991 2.92927i 0.264567 0.308772i
\(91\) 0.990527 1.20696i 0.103835 0.126524i
\(92\) 0.914843 + 5.89754i 0.0953790 + 0.614861i
\(93\) −0.277577 0.148368i −0.0287834 0.0153851i
\(94\) 10.5148 + 2.32458i 1.08452 + 0.239762i
\(95\) −4.46006 4.46006i −0.457593 0.457593i
\(96\) −2.20631 + 5.20886i −0.225180 + 0.531627i
\(97\) 5.61426 5.61426i 0.570042 0.570042i −0.362098 0.932140i \(-0.617939\pi\)
0.932140 + 0.362098i \(0.117939\pi\)
\(98\) −7.89044 + 5.03331i −0.797054 + 0.508441i
\(99\) −0.157278 + 0.294246i −0.0158070 + 0.0295728i
\(100\) 4.16919 2.53666i 0.416919 0.253666i
\(101\) 13.3480 + 10.9544i 1.32818 + 1.09001i 0.988783 + 0.149362i \(0.0477220\pi\)
0.339394 + 0.940644i \(0.389778\pi\)
\(102\) −6.43468 + 0.496116i −0.637128 + 0.0491228i
\(103\) −6.09755 + 1.21288i −0.600809 + 0.119508i −0.486119 0.873893i \(-0.661588\pi\)
−0.114691 + 0.993401i \(0.536588\pi\)
\(104\) 2.96005 + 6.50232i 0.290256 + 0.637605i
\(105\) 0.328938 1.65368i 0.0321011 0.161383i
\(106\) −11.2710 + 8.85632i −1.09474 + 0.860202i
\(107\) 10.0011 + 3.03380i 0.966844 + 0.293289i 0.733943 0.679212i \(-0.237678\pi\)
0.232901 + 0.972500i \(0.425178\pi\)
\(108\) 1.88752 + 0.661272i 0.181626 + 0.0636310i
\(109\) −6.99925 + 5.74414i −0.670407 + 0.550189i −0.906848 0.421457i \(-0.861519\pi\)
0.236442 + 0.971646i \(0.424019\pi\)
\(110\) −0.929171 + 0.890539i −0.0885930 + 0.0849096i
\(111\) −10.5171 4.35631i −0.998236 0.413483i
\(112\) 0.274981 + 2.45723i 0.0259832 + 0.232187i
\(113\) 4.61593 1.91198i 0.434230 0.179864i −0.154851 0.987938i \(-0.549490\pi\)
0.589081 + 0.808074i \(0.299490\pi\)
\(114\) 1.31532 2.99407i 0.123191 0.280421i
\(115\) 8.10024 + 0.797804i 0.755351 + 0.0743956i
\(116\) 0.131601 0.929629i 0.0122188 0.0863139i
\(117\) 2.22766 1.19071i 0.205947 0.110081i
\(118\) −0.118245 0.421834i −0.0108853 0.0388330i
\(119\) −2.34549 + 1.56721i −0.215011 + 0.143666i
\(120\) 6.12901 + 4.68574i 0.559500 + 0.427748i
\(121\) −6.04943 + 9.05361i −0.549948 + 0.823055i
\(122\) −0.549692 1.08309i −0.0497667 0.0980582i
\(123\) 0.319548 + 3.24443i 0.0288127 + 0.292540i
\(124\) 0.265358 0.570819i 0.0238298 0.0512610i
\(125\) 2.02691 + 6.68181i 0.181292 + 0.597640i
\(126\) 0.860815 0.152309i 0.0766875 0.0135687i
\(127\) −18.1491 −1.61047 −0.805237 0.592953i \(-0.797962\pi\)
−0.805237 + 0.592953i \(0.797962\pi\)
\(128\) −10.6473 3.82558i −0.941097 0.338136i
\(129\) 1.19725 0.105412
\(130\) 9.59468 1.69764i 0.841509 0.148893i
\(131\) −4.79490 15.8067i −0.418933 1.38104i −0.871977 0.489547i \(-0.837162\pi\)
0.453044 0.891488i \(-0.350338\pi\)
\(132\) −0.605096 0.281292i −0.0526669 0.0244833i
\(133\) −0.140106 1.42252i −0.0121487 0.123348i
\(134\) 8.44064 + 16.6311i 0.729160 + 1.43671i
\(135\) 1.51541 2.26797i 0.130425 0.195195i
\(136\) −1.70742 12.7941i −0.146410 1.09709i
\(137\) 13.6807 9.14115i 1.16882 0.780982i 0.189221 0.981935i \(-0.439404\pi\)
0.979601 + 0.200953i \(0.0644039\pi\)
\(138\) 1.13903 + 4.06344i 0.0969606 + 0.345903i
\(139\) 17.8611 9.54693i 1.51495 0.809760i 0.516051 0.856558i \(-0.327402\pi\)
0.998904 + 0.0467979i \(0.0149017\pi\)
\(140\) 3.33887 + 0.472659i 0.282186 + 0.0399470i
\(141\) 7.57797 + 0.746365i 0.638180 + 0.0628553i
\(142\) −0.582966 + 1.32701i −0.0489214 + 0.111361i
\(143\) −0.778601 + 0.322507i −0.0651099 + 0.0269694i
\(144\) −1.11025 + 3.84283i −0.0925208 + 0.320236i
\(145\) −1.18302 0.490025i −0.0982448 0.0406943i
\(146\) −6.51750 + 6.24652i −0.539392 + 0.516966i
\(147\) −5.11571 + 4.19835i −0.421936 + 0.346274i
\(148\) 7.52765 21.4867i 0.618769 1.76620i
\(149\) −4.98112 1.51101i −0.408069 0.123786i 0.0795751 0.996829i \(-0.474644\pi\)
−0.487644 + 0.873042i \(0.662144\pi\)
\(150\) 2.71341 2.13209i 0.221549 0.174084i
\(151\) 3.50310 17.6113i 0.285078 1.43318i −0.527114 0.849794i \(-0.676726\pi\)
0.812192 0.583390i \(-0.198274\pi\)
\(152\) 6.12536 + 2.29305i 0.496832 + 0.185991i
\(153\) −4.47582 + 0.890296i −0.361849 + 0.0719762i
\(154\) −0.290802 + 0.0224209i −0.0234335 + 0.00180673i
\(155\) −0.663635 0.544631i −0.0533045 0.0437458i
\(156\) 2.62585 + 4.31578i 0.210236 + 0.345539i
\(157\) 8.38694 15.6909i 0.669351 1.25227i −0.286405 0.958109i \(-0.592460\pi\)
0.955756 0.294159i \(-0.0950396\pi\)
\(158\) −6.60216 + 4.21152i −0.525239 + 0.335050i
\(159\) −7.16712 + 7.16712i −0.568390 + 0.568390i
\(160\) −8.67426 + 12.7609i −0.685760 + 1.00884i
\(161\) 1.30430 + 1.30430i 0.102793 + 0.102793i
\(162\) 1.38087 + 0.305277i 0.108492 + 0.0239848i
\(163\) −19.2796 10.3052i −1.51009 0.807162i −0.511455 0.859310i \(-0.670893\pi\)
−0.998639 + 0.0521473i \(0.983393\pi\)
\(164\) −6.44320 + 0.999487i −0.503129 + 0.0780468i
\(165\) −0.577336 + 0.703486i −0.0449456 + 0.0547663i
\(166\) 2.55057 2.97672i 0.197962 0.231038i
\(167\) −2.18415 10.9805i −0.169015 0.849696i −0.968501 0.249011i \(-0.919895\pi\)
0.799486 0.600685i \(-0.205105\pi\)
\(168\) 0.400027 + 1.70199i 0.0308627 + 0.131312i
\(169\) −6.49254 1.29145i −0.499426 0.0993421i
\(170\) −17.4784 2.09691i −1.34053 0.160826i
\(171\) 0.671259 2.21284i 0.0513324 0.169220i
\(172\) 0.133356 + 2.39078i 0.0101683 + 0.182295i
\(173\) −11.9648 14.5791i −0.909664 1.10843i −0.993712 0.111967i \(-0.964285\pi\)
0.0840475 0.996462i \(-0.473215\pi\)
\(174\) 0.0140913 0.663751i 0.00106826 0.0503189i
\(175\) 0.577218 1.39353i 0.0436335 0.105341i
\(176\) 0.494312 1.23965i 0.0372602 0.0934419i
\(177\) −0.118547 0.286198i −0.00891055 0.0215120i
\(178\) 16.5473 6.44614i 1.24027 0.483158i
\(179\) −1.65410 + 16.7943i −0.123633 + 1.25527i 0.710498 + 0.703700i \(0.248470\pi\)
−0.834131 + 0.551567i \(0.814030\pi\)
\(180\) 4.69768 + 2.77349i 0.350145 + 0.206724i
\(181\) 0.471940 + 0.882938i 0.0350790 + 0.0656283i 0.898850 0.438256i \(-0.144404\pi\)
−0.863771 + 0.503884i \(0.831904\pi\)
\(182\) 1.92486 + 1.08200i 0.142680 + 0.0802032i
\(183\) −0.477151 0.714107i −0.0352720 0.0527883i
\(184\) −7.98740 + 2.72713i −0.588839 + 0.201047i
\(185\) −25.8176 17.2508i −1.89815 1.26830i
\(186\) 0.138221 0.423107i 0.0101348 0.0310237i
\(187\) 1.51524 0.149239i 0.110806 0.0109134i
\(188\) −0.646338 + 15.2156i −0.0471390 + 1.10971i
\(189\) 0.591525 0.179437i 0.0430271 0.0130521i
\(190\) 5.11206 7.30996i 0.370868 0.530320i
\(191\) 25.0986i 1.81607i 0.418893 + 0.908036i \(0.362418\pi\)
−0.418893 + 0.908036i \(0.637582\pi\)
\(192\) −7.79740 1.78902i −0.562729 0.129111i
\(193\) 20.7750i 1.49542i −0.664027 0.747709i \(-0.731154\pi\)
0.664027 0.747709i \(-0.268846\pi\)
\(194\) 9.20167 + 6.43499i 0.660641 + 0.462005i
\(195\) 6.59317 2.00002i 0.472146 0.143224i
\(196\) −8.95349 9.74790i −0.639535 0.696278i
\(197\) 24.4293 2.40607i 1.74051 0.171426i 0.822711 0.568460i \(-0.192461\pi\)
0.917804 + 0.397034i \(0.129961\pi\)
\(198\) −0.448514 0.146521i −0.0318745 0.0104128i
\(199\) −3.75384 2.50824i −0.266103 0.177804i 0.415360 0.909657i \(-0.363656\pi\)
−0.681463 + 0.731853i \(0.738656\pi\)
\(200\) 4.55979 + 5.18091i 0.322426 + 0.366346i
\(201\) 7.32676 + 10.9653i 0.516790 + 0.773431i
\(202\) −11.9660 + 21.2874i −0.841928 + 1.49777i
\(203\) −0.136793 0.255921i −0.00960098 0.0179622i
\(204\) −2.27637 8.83858i −0.159378 0.618825i
\(205\) −0.871619 + 8.84970i −0.0608765 + 0.618090i
\(206\) −3.19145 8.19250i −0.222359 0.570798i
\(207\) 1.14194 + 2.75689i 0.0793704 + 0.191617i
\(208\) −8.32568 + 5.72427i −0.577282 + 0.396906i
\(209\) −0.295247 + 0.712790i −0.0204227 + 0.0493047i
\(210\) 2.38394 + 0.0506106i 0.164508 + 0.00349247i
\(211\) −1.76117 2.14599i −0.121244 0.147736i 0.708851 0.705358i \(-0.249214\pi\)
−0.830095 + 0.557622i \(0.811714\pi\)
\(212\) −15.1103 13.5137i −1.03778 0.928124i
\(213\) −0.297511 + 0.980763i −0.0203851 + 0.0672008i
\(214\) −1.76058 + 14.6749i −0.120351 + 1.00316i
\(215\) 3.20293 + 0.637103i 0.218438 + 0.0434501i
\(216\) −0.455798 + 2.79146i −0.0310131 + 0.189935i
\(217\) −0.0379558 0.190817i −0.00257661 0.0129535i
\(218\) −9.72379 8.33170i −0.658578 0.564294i
\(219\) −4.04962 + 4.93447i −0.273648 + 0.333441i
\(220\) −1.46910 1.07452i −0.0990464 0.0724443i
\(221\) −10.1659 5.43381i −0.683835 0.365518i
\(222\) 3.47515 15.7193i 0.233237 1.05501i
\(223\) −8.61371 8.61371i −0.576817 0.576817i 0.357208 0.934025i \(-0.383729\pi\)
−0.934025 + 0.357208i \(0.883729\pi\)
\(224\) −3.35415 + 0.988389i −0.224108 + 0.0660395i
\(225\) 1.72543 1.72543i 0.115028 0.115028i
\(226\) 3.79994 + 5.95696i 0.252768 + 0.396251i
\(227\) −2.23195 + 4.17569i −0.148140 + 0.277150i −0.945036 0.326966i \(-0.893974\pi\)
0.796896 + 0.604116i \(0.206474\pi\)
\(228\) 4.49359 + 1.09396i 0.297595 + 0.0724490i
\(229\) −18.6586 15.3127i −1.23299 1.01189i −0.999215 0.0396030i \(-0.987391\pi\)
−0.233779 0.972290i \(-0.575109\pi\)
\(230\) 0.884868 + 11.4768i 0.0583465 + 0.756760i
\(231\) −0.202275 + 0.0402351i −0.0133087 + 0.00264727i
\(232\) 1.32701 0.0457933i 0.0871226 0.00300648i
\(233\) 1.27392 6.40443i 0.0834573 0.419568i −0.916358 0.400359i \(-0.868885\pi\)
0.999815 0.0192087i \(-0.00611471\pi\)
\(234\) 2.20705 + 2.80882i 0.144279 + 0.183618i
\(235\) 19.8758 + 6.02925i 1.29655 + 0.393305i
\(236\) 0.558304 0.268605i 0.0363425 0.0174847i
\(237\) −4.28046 + 3.51288i −0.278046 + 0.228186i
\(238\) −2.76039 2.88014i −0.178929 0.186691i
\(239\) −4.42072 1.83112i −0.285953 0.118446i 0.235097 0.971972i \(-0.424459\pi\)
−0.521050 + 0.853526i \(0.674459\pi\)
\(240\) −5.01512 + 9.68971i −0.323724 + 0.625468i
\(241\) −2.80704 + 1.16271i −0.180817 + 0.0748969i −0.471255 0.881997i \(-0.656199\pi\)
0.290438 + 0.956894i \(0.406199\pi\)
\(242\) −14.0985 6.19355i −0.906284 0.398136i
\(243\) 0.995185 + 0.0980171i 0.0638411 + 0.00628780i
\(244\) 1.37285 1.03236i 0.0878876 0.0660902i
\(245\) −15.9199 + 8.50936i −1.01708 + 0.543643i
\(246\) −4.43940 + 1.24442i −0.283046 + 0.0793411i
\(247\) 4.85659 3.24507i 0.309017 0.206479i
\(248\) 0.860296 + 0.228884i 0.0546289 + 0.0145342i
\(249\) 1.53995 2.30470i 0.0975907 0.146055i
\(250\) −8.80556 + 4.46902i −0.556912 + 0.282645i
\(251\) 2.62032 + 26.6046i 0.165393 + 1.67926i 0.616934 + 0.787015i \(0.288374\pi\)
−0.451541 + 0.892250i \(0.649126\pi\)
\(252\) 0.424205 + 1.16123i 0.0267224 + 0.0731505i
\(253\) −0.289007 0.952728i −0.0181697 0.0598975i
\(254\) −4.47190 25.2742i −0.280592 1.58584i
\(255\) −12.4477 −0.779504
\(256\) 2.70397 15.7699i 0.168998 0.985616i
\(257\) 2.81572 0.175640 0.0878200 0.996136i \(-0.472010\pi\)
0.0878200 + 0.996136i \(0.472010\pi\)
\(258\) 0.294999 + 1.66727i 0.0183658 + 0.103800i
\(259\) −2.04264 6.73369i −0.126924 0.418411i
\(260\) 4.72820 + 12.9431i 0.293231 + 0.802697i
\(261\) −0.0460140 0.467188i −0.00284820 0.0289182i
\(262\) 20.8307 10.5720i 1.28692 0.653142i
\(263\) 10.1921 15.2535i 0.628471 0.940574i −0.371455 0.928451i \(-0.621141\pi\)
0.999927 0.0121231i \(-0.00385899\pi\)
\(264\) 0.242629 0.911957i 0.0149328 0.0561271i
\(265\) −22.9877 + 15.3599i −1.41213 + 0.943552i
\(266\) 1.94646 0.545614i 0.119345 0.0334537i
\(267\) 11.0745 5.91942i 0.677745 0.362262i
\(268\) −21.0804 + 15.8521i −1.28769 + 0.968324i
\(269\) 7.93530 + 0.781559i 0.483824 + 0.0476525i 0.336989 0.941509i \(-0.390591\pi\)
0.146835 + 0.989161i \(0.453091\pi\)
\(270\) 3.53172 + 1.55151i 0.214934 + 0.0944218i
\(271\) 16.7249 6.92770i 1.01597 0.420828i 0.188340 0.982104i \(-0.439689\pi\)
0.827629 + 0.561276i \(0.189689\pi\)
\(272\) 17.3962 5.53016i 1.05480 0.335315i
\(273\) 1.44252 + 0.597513i 0.0873055 + 0.0361631i
\(274\) 16.1007 + 16.7992i 0.972679 + 1.01487i
\(275\) −0.629328 + 0.516476i −0.0379499 + 0.0311447i
\(276\) −5.37802 + 2.58741i −0.323719 + 0.155744i
\(277\) −11.2618 3.41622i −0.676653 0.205261i −0.0667898 0.997767i \(-0.521276\pi\)
−0.609863 + 0.792507i \(0.708776\pi\)
\(278\) 17.6958 + 22.5207i 1.06132 + 1.35070i
\(279\) 0.0614030 0.308694i 0.00367610 0.0184810i
\(280\) 0.164472 + 4.76612i 0.00982910 + 0.284830i
\(281\) 24.9489 4.96265i 1.48833 0.296047i 0.617084 0.786897i \(-0.288314\pi\)
0.871244 + 0.490850i \(0.163314\pi\)
\(282\) 0.827816 + 10.7369i 0.0492957 + 0.639371i
\(283\) 12.7346 + 10.4510i 0.756992 + 0.621248i 0.931640 0.363383i \(-0.118379\pi\)
−0.174647 + 0.984631i \(0.555879\pi\)
\(284\) −1.99162 0.484856i −0.118181 0.0287709i
\(285\) 2.97333 5.56270i 0.176125 0.329506i
\(286\) −0.640963 1.00480i −0.0379009 0.0594152i
\(287\) −1.42498 + 1.42498i −0.0841138 + 0.0841138i
\(288\) −5.62502 0.599253i −0.331458 0.0353113i
\(289\) 2.70511 + 2.70511i 0.159124 + 0.159124i
\(290\) 0.390906 1.76820i 0.0229548 0.103832i
\(291\) 7.00225 + 3.74278i 0.410479 + 0.219406i
\(292\) −10.3047 7.53704i −0.603037 0.441072i
\(293\) −4.80209 + 5.85136i −0.280541 + 0.341840i −0.894148 0.447771i \(-0.852218\pi\)
0.613607 + 0.789611i \(0.289718\pi\)
\(294\) −7.10705 6.08958i −0.414492 0.355152i
\(295\) −0.164846 0.828735i −0.00959768 0.0482508i
\(296\) 31.7768 + 5.18862i 1.84699 + 0.301582i
\(297\) −0.327231 0.0650902i −0.0189879 0.00377692i
\(298\) 0.876867 7.30893i 0.0507956 0.423395i
\(299\) −2.18800 + 7.21287i −0.126535 + 0.417131i
\(300\) 3.63768 + 3.25331i 0.210022 + 0.187830i
\(301\) 0.469495 + 0.572082i 0.0270613 + 0.0329742i
\(302\) 25.3883 + 0.538989i 1.46093 + 0.0310153i
\(303\) −6.60801 + 15.9532i −0.379620 + 0.916485i
\(304\) −1.68400 + 9.09508i −0.0965837 + 0.521638i
\(305\) −0.896492 2.16432i −0.0513330 0.123929i
\(306\) −2.34264 6.01359i −0.133920 0.343774i
\(307\) 0.328182 3.33209i 0.0187304 0.190173i −0.981267 0.192655i \(-0.938290\pi\)
0.999997 + 0.00248244i \(0.000790187\pi\)
\(308\) −0.102876 0.399441i −0.00586189 0.0227603i
\(309\) −2.93068 5.48291i −0.166720 0.311912i
\(310\) 0.594927 1.05836i 0.0337896 0.0601110i
\(311\) 9.13175 + 13.6666i 0.517814 + 0.774963i 0.994570 0.104072i \(-0.0331874\pi\)
−0.476756 + 0.879036i \(0.658187\pi\)
\(312\) −5.36308 + 4.72011i −0.303625 + 0.267224i
\(313\) −16.8033 11.2276i −0.949781 0.634623i −0.0188513 0.999822i \(-0.506001\pi\)
−0.930929 + 0.365199i \(0.881001\pi\)
\(314\) 23.9174 + 7.81333i 1.34973 + 0.440932i
\(315\) 1.67796 0.165265i 0.0945425 0.00931162i
\(316\) −7.49164 8.15635i −0.421438 0.458830i
\(317\) −5.91646 + 1.79474i −0.332302 + 0.100803i −0.452026 0.892005i \(-0.649299\pi\)
0.119725 + 0.992807i \(0.461799\pi\)
\(318\) −11.7468 8.21486i −0.658727 0.460666i
\(319\) 0.156628i 0.00876947i
\(320\) −19.9080 8.93537i −1.11289 0.499502i
\(321\) 10.4511i 0.583325i
\(322\) −1.49497 + 2.13772i −0.0833115 + 0.119131i
\(323\) −10.0983 + 3.06329i −0.561886 + 0.170446i
\(324\) −0.0848810 + 1.99820i −0.00471561 + 0.111011i
\(325\) 6.13386 0.604133i 0.340246 0.0335113i
\(326\) 9.60035 29.3876i 0.531714 1.62763i
\(327\) −7.52857 5.03043i −0.416331 0.278184i
\(328\) −2.97946 8.72642i −0.164513 0.481836i
\(329\) 2.61503 + 3.91367i 0.144171 + 0.215768i
\(330\) −1.12192 0.630652i −0.0617595 0.0347162i
\(331\) 13.6755 + 25.5850i 0.751671 + 1.40628i 0.908171 + 0.418599i \(0.137479\pi\)
−0.156500 + 0.987678i \(0.550021\pi\)
\(332\) 4.77378 + 2.81842i 0.261995 + 0.154681i
\(333\) 1.11579 11.3288i 0.0611448 0.620813i
\(334\) 14.7531 5.74718i 0.807252 0.314472i
\(335\) 13.7658 + 33.2337i 0.752108 + 1.81575i
\(336\) −2.27160 + 0.976437i −0.123926 + 0.0532690i
\(337\) 0.982728 2.37252i 0.0535326 0.129239i −0.894851 0.446366i \(-0.852718\pi\)
0.948383 + 0.317127i \(0.102718\pi\)
\(338\) 0.198703 9.35962i 0.0108080 0.509096i
\(339\) 3.16958 + 3.86215i 0.172148 + 0.209763i
\(340\) −1.38649 24.8567i −0.0751930 1.34805i
\(341\) −0.0304830 + 0.100489i −0.00165075 + 0.00544179i
\(342\) 3.24697 + 0.389545i 0.175576 + 0.0210642i
\(343\) −8.25606 1.64223i −0.445785 0.0886722i
\(344\) −3.29650 + 0.774791i −0.177735 + 0.0417739i
\(345\) 1.58792 + 7.98303i 0.0854909 + 0.429792i
\(346\) 17.3545 20.2542i 0.932986 1.08887i
\(347\) 8.47341 10.3249i 0.454876 0.554268i −0.494186 0.869356i \(-0.664534\pi\)
0.949063 + 0.315088i \(0.102034\pi\)
\(348\) 0.927801 0.143923i 0.0497354 0.00771509i
\(349\) −7.85220 4.19709i −0.420319 0.224665i 0.247658 0.968848i \(-0.420339\pi\)
−0.667976 + 0.744183i \(0.732839\pi\)
\(350\) 2.08283 + 0.460462i 0.111332 + 0.0246128i
\(351\) 1.78609 + 1.78609i 0.0953346 + 0.0953346i
\(352\) 1.84811 + 0.382926i 0.0985045 + 0.0204100i
\(353\) 8.80014 8.80014i 0.468384 0.468384i −0.433007 0.901391i \(-0.642547\pi\)
0.901391 + 0.433007i \(0.142547\pi\)
\(354\) 0.369345 0.235605i 0.0196305 0.0125223i
\(355\) −1.31782 + 2.46547i −0.0699426 + 0.130853i
\(356\) 13.0540 + 21.4552i 0.691860 + 1.13712i
\(357\) −2.18058 1.78956i −0.115409 0.0947135i
\(358\) −23.7951 + 1.83461i −1.25761 + 0.0969621i
\(359\) 26.8879 5.34834i 1.41909 0.282275i 0.574859 0.818253i \(-0.305057\pi\)
0.844232 + 0.535978i \(0.180057\pi\)
\(360\) −2.70482 + 7.22530i −0.142556 + 0.380807i
\(361\) −2.66352 + 13.3904i −0.140185 + 0.704758i
\(362\) −1.11328 + 0.874770i −0.0585127 + 0.0459769i
\(363\) −10.4198 3.16082i −0.546899 0.165900i
\(364\) −1.03250 + 2.94713i −0.0541175 + 0.154471i
\(365\) −13.4596 + 11.0460i −0.704505 + 0.578173i
\(366\) 0.876884 0.840426i 0.0458355 0.0439298i
\(367\) 9.46635 + 3.92109i 0.494140 + 0.204679i 0.615815 0.787891i \(-0.288827\pi\)
−0.121676 + 0.992570i \(0.538827\pi\)
\(368\) −5.76583 10.4512i −0.300565 0.544804i
\(369\) −3.01197 + 1.24760i −0.156797 + 0.0649473i
\(370\) 17.6617 40.2037i 0.918190 2.09009i
\(371\) −6.23523 0.614116i −0.323717 0.0318833i
\(372\) 0.623269 + 0.0882315i 0.0323150 + 0.00457459i
\(373\) −7.23221 + 3.86570i −0.374470 + 0.200158i −0.647886 0.761738i \(-0.724346\pi\)
0.273416 + 0.961896i \(0.411846\pi\)
\(374\) 0.581179 + 2.07333i 0.0300521 + 0.107209i
\(375\) −5.80572 + 3.87926i −0.299806 + 0.200324i
\(376\) −21.3482 + 2.84899i −1.10095 + 0.146926i
\(377\) 0.658789 0.985948i 0.0339294 0.0507789i
\(378\) 0.395632 + 0.779536i 0.0203491 + 0.0400950i
\(379\) 2.75550 + 27.9771i 0.141541 + 1.43709i 0.759311 + 0.650728i \(0.225536\pi\)
−0.617770 + 0.786359i \(0.711964\pi\)
\(380\) 11.4393 + 5.31782i 0.586825 + 0.272798i
\(381\) −5.26841 17.3676i −0.269909 0.889771i
\(382\) −34.9519 + 6.18423i −1.78829 + 0.316413i
\(383\) −2.84134 −0.145185 −0.0725927 0.997362i \(-0.523127\pi\)
−0.0725927 + 0.997362i \(0.523127\pi\)
\(384\) 0.570100 11.2993i 0.0290928 0.576617i
\(385\) −0.562547 −0.0286700
\(386\) 28.9309 5.11890i 1.47255 0.260545i
\(387\) 0.347543 + 1.14570i 0.0176666 + 0.0582390i
\(388\) −6.69399 + 14.3997i −0.339836 + 0.731032i
\(389\) 0.833894 + 8.46667i 0.0422801 + 0.429277i 0.992903 + 0.118928i \(0.0379458\pi\)
−0.950623 + 0.310349i \(0.899554\pi\)
\(390\) 4.40973 + 8.68874i 0.223295 + 0.439971i
\(391\) 7.56557 11.3227i 0.382607 0.572612i
\(392\) 11.3686 14.8703i 0.574203 0.751065i
\(393\) 13.7342 9.17687i 0.692797 0.462912i
\(394\) 9.36997 + 33.4270i 0.472052 + 1.68403i
\(395\) −13.3206 + 7.12002i −0.670234 + 0.358247i
\(396\) 0.0935297 0.660696i 0.00470005 0.0332012i
\(397\) 21.4603 + 2.11366i 1.07706 + 0.106081i 0.620957 0.783844i \(-0.286744\pi\)
0.456105 + 0.889926i \(0.349244\pi\)
\(398\) 2.56799 5.84556i 0.128722 0.293012i
\(399\) 1.32060 0.547009i 0.0661125 0.0273847i
\(400\) −6.09133 + 7.62644i −0.304567 + 0.381322i
\(401\) 10.4550 + 4.33061i 0.522099 + 0.216260i 0.628139 0.778102i \(-0.283817\pi\)
−0.106040 + 0.994362i \(0.533817\pi\)
\(402\) −13.4648 + 12.9049i −0.671561 + 0.643640i
\(403\) 0.614552 0.504350i 0.0306130 0.0251234i
\(404\) −32.5928 11.4186i −1.62155 0.568095i
\(405\) 2.61021 + 0.791797i 0.129702 + 0.0393447i
\(406\) 0.322687 0.253554i 0.0160147 0.0125837i
\(407\) −0.740961 + 3.72506i −0.0367281 + 0.184644i
\(408\) 11.7476 5.34784i 0.581591 0.264757i
\(409\) 10.5707 2.10265i 0.522688 0.103969i 0.0733074 0.997309i \(-0.476645\pi\)
0.449381 + 0.893340i \(0.351645\pi\)
\(410\) −12.5387 + 0.966739i −0.619243 + 0.0477438i
\(411\) 12.7188 + 10.4381i 0.627374 + 0.514873i
\(412\) 10.6224 6.46297i 0.523327 0.318408i
\(413\) 0.0902665 0.168877i 0.00444173 0.00830988i
\(414\) −3.55783 + 2.26954i −0.174858 + 0.111542i
\(415\) 5.34618 5.34618i 0.262434 0.262434i
\(416\) −10.0229 10.1838i −0.491415 0.499300i
\(417\) 14.3206 + 14.3206i 0.701285 + 0.701285i
\(418\) −1.06537 0.235527i −0.0521088 0.0115200i
\(419\) −22.1363 11.8321i −1.08143 0.578037i −0.168314 0.985733i \(-0.553832\pi\)
−0.913118 + 0.407696i \(0.866332\pi\)
\(420\) 0.516917 + 3.33231i 0.0252230 + 0.162600i
\(421\) 14.2586 17.3742i 0.694921 0.846764i −0.299295 0.954161i \(-0.596751\pi\)
0.994216 + 0.107396i \(0.0342514\pi\)
\(422\) 2.55452 2.98134i 0.124352 0.145129i
\(423\) 1.48554 + 7.46833i 0.0722295 + 0.363122i
\(424\) 15.0958 24.3721i 0.733117 1.18361i
\(425\) −10.9215 2.17243i −0.529773 0.105378i
\(426\) −1.43910 0.172652i −0.0697246 0.00836501i
\(427\) 0.154109 0.508031i 0.00745788 0.0245853i
\(428\) −20.8698 + 1.16410i −1.00878 + 0.0562691i
\(429\) −0.534636 0.651456i −0.0258125 0.0314526i
\(430\) −0.0980251 + 4.61733i −0.00472719 + 0.222668i
\(431\) 1.69883 4.10133i 0.0818295 0.197554i −0.877669 0.479267i \(-0.840903\pi\)
0.959499 + 0.281713i \(0.0909026\pi\)
\(432\) −3.99965 + 0.0530717i −0.192433 + 0.00255341i
\(433\) −1.28806 3.10966i −0.0619004 0.149441i 0.889903 0.456150i \(-0.150772\pi\)
−0.951803 + 0.306709i \(0.900772\pi\)
\(434\) 0.256376 0.0998734i 0.0123064 0.00479408i
\(435\) 0.125511 1.27433i 0.00601777 0.0610995i
\(436\) 9.20668 15.5941i 0.440920 0.746822i
\(437\) 3.25279 + 6.08555i 0.155602 + 0.291111i
\(438\) −7.86948 4.42359i −0.376018 0.211367i
\(439\) 7.07241 + 10.5846i 0.337548 + 0.505176i 0.960949 0.276726i \(-0.0892495\pi\)
−0.623401 + 0.781902i \(0.714250\pi\)
\(440\) 1.13438 2.31060i 0.0540795 0.110153i
\(441\) −5.50258 3.67671i −0.262028 0.175081i
\(442\) 5.06217 15.4958i 0.240783 0.737060i
\(443\) −34.4435 + 3.39238i −1.63646 + 0.161177i −0.874022 0.485886i \(-0.838497\pi\)
−0.762436 + 0.647063i \(0.775997\pi\)
\(444\) 22.7467 + 0.966250i 1.07951 + 0.0458562i
\(445\) 32.7768 9.94275i 1.55377 0.471331i
\(446\) 9.87291 14.1177i 0.467496 0.668493i
\(447\) 5.20525i 0.246200i
\(448\) −2.20287 4.42739i −0.104076 0.209175i
\(449\) 9.26589i 0.437284i −0.975805 0.218642i \(-0.929837\pi\)
0.975805 0.218642i \(-0.0701627\pi\)
\(450\) 2.82794 + 1.97766i 0.133310 + 0.0932277i
\(451\) 1.04088 0.315747i 0.0490130 0.0148679i
\(452\) −7.35926 + 6.75951i −0.346151 + 0.317941i
\(453\) 17.8698 1.76002i 0.839598 0.0826931i
\(454\) −6.36494 2.07930i −0.298722 0.0975864i
\(455\) 3.54115 + 2.36612i 0.166012 + 0.110925i
\(456\) −0.416217 + 6.52724i −0.0194911 + 0.305666i
\(457\) 10.5266 + 15.7541i 0.492413 + 0.736948i 0.991571 0.129563i \(-0.0413574\pi\)
−0.499158 + 0.866511i \(0.666357\pi\)
\(458\) 16.7268 29.7567i 0.781592 1.39044i
\(459\) −2.15122 4.02465i −0.100410 0.187855i
\(460\) −15.7644 + 4.06011i −0.735020 + 0.189304i
\(461\) −1.19304 + 12.1131i −0.0555653 + 0.564164i 0.926587 + 0.376079i \(0.122728\pi\)
−0.982153 + 0.188085i \(0.939772\pi\)
\(462\) −0.105871 0.271771i −0.00492555 0.0126439i
\(463\) 11.8431 + 28.5917i 0.550393 + 1.32877i 0.917184 + 0.398464i \(0.130456\pi\)
−0.366791 + 0.930303i \(0.619544\pi\)
\(464\) 0.390743 + 1.83669i 0.0181398 + 0.0852663i
\(465\) 0.328537 0.793157i 0.0152355 0.0367818i
\(466\) 9.23259 + 0.196006i 0.427692 + 0.00907981i
\(467\) −15.7451 19.1855i −0.728596 0.887797i 0.268552 0.963265i \(-0.413455\pi\)
−0.997148 + 0.0754681i \(0.975955\pi\)
\(468\) −3.36770 + 3.76559i −0.155672 + 0.174064i
\(469\) −2.36639 + 7.80093i −0.109270 + 0.360214i
\(470\) −3.49890 + 29.1643i −0.161392 + 1.34525i
\(471\) 17.4498 + 3.47099i 0.804046 + 0.159935i
\(472\) 0.511619 + 0.711301i 0.0235492 + 0.0327403i
\(473\) −0.0779292 0.391776i −0.00358319 0.0180139i
\(474\) −5.94667 5.09533i −0.273140 0.234036i
\(475\) 3.57961 4.36177i 0.164244 0.200132i
\(476\) 3.33068 4.55373i 0.152661 0.208720i
\(477\) −8.93902 4.77800i −0.409289 0.218770i
\(478\) 1.46074 6.60741i 0.0668126 0.302216i
\(479\) −2.51461 2.51461i −0.114895 0.114895i 0.647322 0.762217i \(-0.275889\pi\)
−0.762217 + 0.647322i \(0.775889\pi\)
\(480\) −14.7294 4.59645i −0.672304 0.209798i
\(481\) 20.3322 20.3322i 0.927067 0.927067i
\(482\) −2.31082 3.62254i −0.105255 0.165002i
\(483\) −0.869519 + 1.62676i −0.0395645 + 0.0740200i
\(484\) 5.15121 21.1594i 0.234146 0.961789i
\(485\) 16.7411 + 13.7390i 0.760173 + 0.623858i
\(486\) 0.108714 + 1.41003i 0.00493136 + 0.0639602i
\(487\) −17.4468 + 3.47039i −0.790591 + 0.157258i −0.573839 0.818968i \(-0.694546\pi\)
−0.216753 + 0.976227i \(0.569546\pi\)
\(488\) 1.77592 + 1.65744i 0.0803919 + 0.0750286i
\(489\) 4.26485 21.4409i 0.192863 0.969589i
\(490\) −15.7726 20.0731i −0.712534 0.906810i
\(491\) −14.5938 4.42697i −0.658607 0.199786i −0.0567479 0.998389i \(-0.518073\pi\)
−0.601859 + 0.798602i \(0.705573\pi\)
\(492\) −2.82681 5.87562i −0.127442 0.264893i
\(493\) −1.65605 + 1.35908i −0.0745846 + 0.0612100i
\(494\) 5.71568 + 5.96363i 0.257161 + 0.268316i
\(495\) −0.840786 0.348265i −0.0377905 0.0156533i
\(496\) −0.106766 + 1.25443i −0.00479393 + 0.0563256i
\(497\) −0.585306 + 0.242442i −0.0262546 + 0.0108750i
\(498\) 3.58893 + 1.57664i 0.160824 + 0.0706510i
\(499\) 24.8879 + 2.45124i 1.11413 + 0.109733i 0.638290 0.769796i \(-0.279642\pi\)
0.475845 + 0.879529i \(0.342142\pi\)
\(500\) −8.39314 11.1613i −0.375353 0.499149i
\(501\) 9.87365 5.27757i 0.441122 0.235785i
\(502\) −36.4034 + 10.2043i −1.62476 + 0.455440i
\(503\) −19.2599 + 12.8691i −0.858757 + 0.573803i −0.905137 0.425121i \(-0.860232\pi\)
0.0463797 + 0.998924i \(0.485232\pi\)
\(504\) −1.51258 + 0.876864i −0.0673758 + 0.0390586i
\(505\) −26.1674 + 39.1622i −1.16443 + 1.74270i
\(506\) 1.25554 0.637216i 0.0558157 0.0283277i
\(507\) −0.648848 6.58786i −0.0288164 0.292577i
\(508\) 34.0945 12.4550i 1.51270 0.552600i
\(509\) −1.58324 5.21923i −0.0701758 0.231338i 0.914836 0.403826i \(-0.132320\pi\)
−0.985012 + 0.172487i \(0.944820\pi\)
\(510\) −3.06708 17.3344i −0.135812 0.767582i
\(511\) −3.94588 −0.174555
\(512\) 22.6271 0.120151i 0.999986 0.00530998i
\(513\) 2.31242 0.102096
\(514\) 0.693786 + 3.92113i 0.0306016 + 0.172954i
\(515\) −4.92261 16.2277i −0.216916 0.715077i
\(516\) −2.24912 + 0.821620i −0.0990121 + 0.0361698i
\(517\) −0.249018 2.52833i −0.0109518 0.111196i
\(518\) 8.87392 4.50371i 0.389898 0.197882i
\(519\) 10.4782 15.6817i 0.459940 0.688348i
\(520\) −16.8593 + 9.77356i −0.739330 + 0.428599i
\(521\) −27.3793 + 18.2942i −1.19951 + 0.801485i −0.984544 0.175137i \(-0.943963\pi\)
−0.214964 + 0.976622i \(0.568963\pi\)
\(522\) 0.639261 0.179192i 0.0279797 0.00784303i
\(523\) −13.5126 + 7.22265i −0.590866 + 0.315824i −0.739594 0.673054i \(-0.764982\pi\)
0.148728 + 0.988878i \(0.452482\pi\)
\(524\) 19.8550 + 26.4035i 0.867371 + 1.15344i
\(525\) 1.50108 + 0.147843i 0.0655125 + 0.00645241i
\(526\) 23.7531 + 10.4349i 1.03569 + 0.454984i
\(527\) −1.32699 + 0.549658i −0.0578047 + 0.0239435i
\(528\) 1.32976 + 0.113177i 0.0578703 + 0.00492541i
\(529\) 13.0226 + 5.39413i 0.566199 + 0.234527i
\(530\) −27.0541 28.2277i −1.17515 1.22613i
\(531\) 0.239462 0.196522i 0.0103918 0.00852831i
\(532\) 1.23941 + 2.57616i 0.0537354 + 0.111691i
\(533\) −7.88023 2.39044i −0.341331 0.103541i
\(534\) 10.9720 + 13.9636i 0.474805 + 0.604263i
\(535\) −5.56146 + 27.9594i −0.240443 + 1.20879i
\(536\) −27.2696 25.4503i −1.17787 1.09929i
\(537\) −16.5513 + 3.29226i −0.714242 + 0.142072i
\(538\) 0.866850 + 11.2431i 0.0373726 + 0.484726i
\(539\) 1.70681 + 1.40074i 0.0735176 + 0.0603343i
\(540\) −1.29040 + 5.30051i −0.0555299 + 0.228097i
\(541\) 12.3876 23.1756i 0.532584 0.996395i −0.461433 0.887175i \(-0.652665\pi\)
0.994018 0.109220i \(-0.0348354\pi\)
\(542\) 13.7684 + 21.5839i 0.591403 + 0.927109i
\(543\) −0.707922 + 0.707922i −0.0303798 + 0.0303798i
\(544\) 11.9876 + 22.8630i 0.513963 + 0.980243i
\(545\) −17.4639 17.4639i −0.748071 0.748071i
\(546\) −0.476653 + 2.15606i −0.0203989 + 0.0922709i
\(547\) −36.7902 19.6648i −1.57304 0.840806i −0.999770 0.0214373i \(-0.993176\pi\)
−0.573267 0.819369i \(-0.694324\pi\)
\(548\) −19.4271 + 26.5608i −0.829883 + 1.13462i
\(549\) 0.544848 0.663899i 0.0232535 0.0283345i
\(550\) −0.874300 0.749133i −0.0372803 0.0319431i
\(551\) −0.211782 1.06470i −0.00902224 0.0453578i
\(552\) −4.92832 6.85182i −0.209763 0.291633i
\(553\) −3.35712 0.667774i −0.142759 0.0283966i
\(554\) 1.98250 16.5247i 0.0842283 0.702066i
\(555\) 9.01350 29.7135i 0.382602 1.26127i
\(556\) −27.0017 + 30.1919i −1.14513 + 1.28042i
\(557\) −0.777499 0.947386i −0.0329437 0.0401420i 0.756278 0.654250i \(-0.227016\pi\)
−0.789222 + 0.614108i \(0.789516\pi\)
\(558\) 0.445011 + 0.00944751i 0.0188388 + 0.000399945i
\(559\) −1.15729 + 2.79395i −0.0489482 + 0.118172i
\(560\) −6.59670 + 1.40340i −0.278761 + 0.0593045i
\(561\) 0.582665 + 1.40668i 0.0246001 + 0.0593899i
\(562\) 13.0583 + 33.5207i 0.550829 + 1.41398i
\(563\) −3.09248 + 31.3985i −0.130333 + 1.32329i 0.678217 + 0.734861i \(0.262753\pi\)
−0.808550 + 0.588428i \(0.799747\pi\)
\(564\) −14.7480 + 3.79834i −0.621003 + 0.159939i
\(565\) 6.42422 + 12.0189i 0.270269 + 0.505637i
\(566\) −11.4161 + 20.3091i −0.479856 + 0.853654i
\(567\) 0.343422 + 0.513967i 0.0144224 + 0.0215846i
\(568\) 0.184473 2.89296i 0.00774031 0.121386i
\(569\) −24.2283 16.1888i −1.01570 0.678671i −0.0679539 0.997688i \(-0.521647\pi\)
−0.947749 + 0.319018i \(0.896647\pi\)
\(570\) 8.47914 + 2.76997i 0.355152 + 0.116021i
\(571\) −21.2788 + 2.09578i −0.890491 + 0.0877057i −0.532906 0.846175i \(-0.678900\pi\)
−0.357585 + 0.933880i \(0.616400\pi\)
\(572\) 1.24134 1.14017i 0.0519030 0.0476731i
\(573\) −24.0179 + 7.28574i −1.00336 + 0.304366i
\(574\) −2.33551 1.63329i −0.0974824 0.0681722i
\(575\) 7.28140i 0.303656i
\(576\) −0.551481 7.98097i −0.0229784 0.332540i
\(577\) 4.11062i 0.171127i 0.996333 + 0.0855636i \(0.0272691\pi\)
−0.996333 + 0.0855636i \(0.972731\pi\)
\(578\) −3.10055 + 4.43362i −0.128966 + 0.184414i
\(579\) 19.8804 6.03067i 0.826203 0.250626i
\(580\) 2.55868 + 0.108690i 0.106244 + 0.00451310i
\(581\) 1.70514 0.167942i 0.0707413 0.00696741i
\(582\) −3.48680 + 10.6734i −0.144532 + 0.442428i
\(583\) 2.81181 + 1.87879i 0.116453 + 0.0778117i
\(584\) 7.95690 16.2073i 0.329259 0.670661i
\(585\) 3.82779 + 5.72869i 0.158260 + 0.236852i
\(586\) −9.33172 5.24555i −0.385490 0.216691i
\(587\) −12.9873 24.2975i −0.536042 1.00286i −0.993522 0.113643i \(-0.963748\pi\)
0.457480 0.889220i \(-0.348752\pi\)
\(588\) 6.72910 11.3976i 0.277503 0.470030i
\(589\) 0.0713382 0.724309i 0.00293944 0.0298446i
\(590\) 1.11346 0.433759i 0.0458406 0.0178576i
\(591\) 9.39392 + 22.6789i 0.386414 + 0.932886i
\(592\) 0.604146 + 45.5304i 0.0248303 + 1.87129i
\(593\) −9.51303 + 22.9665i −0.390653 + 0.943120i 0.599144 + 0.800641i \(0.295508\pi\)
−0.989798 + 0.142480i \(0.954492\pi\)
\(594\) 0.0100148 0.471734i 0.000410913 0.0193555i
\(595\) −4.88130 5.94789i −0.200114 0.243840i
\(596\) 10.3944 0.579789i 0.425769 0.0237491i
\(597\) 1.31055 4.32031i 0.0536373 0.176818i
\(598\) −10.5836 1.26974i −0.432797 0.0519236i
\(599\) −31.6772 6.30098i −1.29429 0.257451i −0.500552 0.865706i \(-0.666870\pi\)
−0.793741 + 0.608255i \(0.791870\pi\)
\(600\) −3.63419 + 5.86738i −0.148365 + 0.239535i
\(601\) −0.918848 4.61936i −0.0374806 0.188428i 0.957509 0.288402i \(-0.0931240\pi\)
−0.994990 + 0.0999743i \(0.968124\pi\)
\(602\) −0.680989 + 0.794771i −0.0277550 + 0.0323924i
\(603\) −8.36626 + 10.1943i −0.340701 + 0.415145i
\(604\) 5.50502 + 35.4881i 0.223996 + 1.44399i
\(605\) −26.1936 14.0008i −1.06492 0.569212i
\(606\) −23.8443 5.27139i −0.968608 0.214136i
\(607\) −4.26587 4.26587i −0.173146 0.173146i 0.615214 0.788360i \(-0.289070\pi\)
−0.788360 + 0.615214i \(0.789070\pi\)
\(608\) −13.0806 0.104101i −0.530488 0.00422187i
\(609\) 0.205193 0.205193i 0.00831483 0.00831483i
\(610\) 2.79311 1.78172i 0.113090 0.0721398i
\(611\) −9.06682 + 16.9628i −0.366804 + 0.686243i
\(612\) 7.79720 4.74405i 0.315183 0.191767i
\(613\) −14.4824 11.8854i −0.584940 0.480048i 0.294764 0.955570i \(-0.404759\pi\)
−0.879704 + 0.475522i \(0.842259\pi\)
\(614\) 4.72108 0.363997i 0.190527 0.0146897i
\(615\) −8.72165 + 1.73484i −0.351691 + 0.0699557i
\(616\) 0.530907 0.241684i 0.0213908 0.00973773i
\(617\) −4.18042 + 21.0164i −0.168297 + 0.846088i 0.800709 + 0.599053i \(0.204456\pi\)
−0.969007 + 0.247035i \(0.920544\pi\)
\(618\) 6.91330 5.43219i 0.278094 0.218515i
\(619\) 8.91582 + 2.70459i 0.358357 + 0.108706i 0.464329 0.885663i \(-0.346295\pi\)
−0.105972 + 0.994369i \(0.533795\pi\)
\(620\) 1.62045 + 0.567707i 0.0650787 + 0.0227997i
\(621\) −2.30669 + 1.89305i −0.0925643 + 0.0759656i
\(622\) −16.7819 + 16.0841i −0.672892 + 0.644915i
\(623\) 7.17127 + 2.97044i 0.287311 + 0.119008i
\(624\) −7.89460 6.30551i −0.316037 0.252422i
\(625\) −28.8679 + 11.9575i −1.15472 + 0.478299i
\(626\) 11.4951 26.1665i 0.459437 1.04582i
\(627\) −0.767803 0.0756220i −0.0306631 0.00302005i
\(628\) −4.98754 + 35.2321i −0.199025 + 1.40591i
\(629\) −45.8150 + 24.4886i −1.82676 + 0.976426i
\(630\) 0.643591 + 2.29598i 0.0256413 + 0.0914741i
\(631\) −8.31105 + 5.55327i −0.330858 + 0.221072i −0.709892 0.704311i \(-0.751256\pi\)
0.379034 + 0.925383i \(0.376256\pi\)
\(632\) 9.51247 12.4424i 0.378386 0.494933i
\(633\) 1.54234 2.30828i 0.0613026 0.0917459i
\(634\) −3.95712 7.79695i −0.157157 0.309656i
\(635\) −4.85230 49.2662i −0.192558 1.95507i
\(636\) 8.54550 18.3825i 0.338851 0.728913i
\(637\) −4.85248 15.9965i −0.192262 0.633803i
\(638\) −0.218117 + 0.0385926i −0.00863534 + 0.00152790i
\(639\) −1.02489 −0.0405442
\(640\) 7.53798 29.9251i 0.297965 1.18290i
\(641\) 14.2256 0.561876 0.280938 0.959726i \(-0.409355\pi\)
0.280938 + 0.959726i \(0.409355\pi\)
\(642\) −14.5541 + 2.57513i −0.574403 + 0.101632i
\(643\) −3.00887 9.91891i −0.118658 0.391163i 0.877411 0.479739i \(-0.159269\pi\)
−0.996069 + 0.0885754i \(0.971769\pi\)
\(644\) −3.34531 1.55514i −0.131824 0.0612812i
\(645\) 0.320093 + 3.24996i 0.0126036 + 0.127967i
\(646\) −6.75409 13.3080i −0.265736 0.523595i
\(647\) 24.5387 36.7248i 0.964716 1.44380i 0.0698026 0.997561i \(-0.477763\pi\)
0.894914 0.446239i \(-0.147237\pi\)
\(648\) −2.80357 + 0.374147i −0.110135 + 0.0146979i
\(649\) −0.0859366 + 0.0574210i −0.00337331 + 0.00225397i
\(650\) 2.35267 + 8.39306i 0.0922794 + 0.329203i
\(651\) 0.171582 0.0917126i 0.00672484 0.00359450i
\(652\) 43.2902 + 6.12827i 1.69538 + 0.240001i
\(653\) 34.0165 + 3.35033i 1.33117 + 0.131109i 0.738454 0.674304i \(-0.235556\pi\)
0.592715 + 0.805412i \(0.298056\pi\)
\(654\) 5.15028 11.7237i 0.201392 0.458431i
\(655\) 41.6256 17.2419i 1.62645 0.673697i
\(656\) 11.4181 6.29931i 0.445803 0.245947i
\(657\) −5.89754 2.44284i −0.230085 0.0953043i
\(658\) −4.80578 + 4.60597i −0.187349 + 0.179559i
\(659\) 5.95717 4.88892i 0.232058 0.190445i −0.511177 0.859476i \(-0.670790\pi\)
0.743235 + 0.669030i \(0.233290\pi\)
\(660\) 0.601798 1.71775i 0.0234249 0.0668635i
\(661\) −20.6262 6.25690i −0.802267 0.243365i −0.137584 0.990490i \(-0.543934\pi\)
−0.664683 + 0.747125i \(0.731434\pi\)
\(662\) −32.2596 + 25.3483i −1.25381 + 0.985189i
\(663\) 2.24881 11.3056i 0.0873367 0.439071i
\(664\) −2.74864 + 7.34234i −0.106668 + 0.284938i
\(665\) 3.82400 0.760642i 0.148289 0.0294964i
\(666\) 16.0512 1.23755i 0.621971 0.0479542i
\(667\) 1.08287 + 0.888691i 0.0419290 + 0.0344103i
\(668\) 11.6385 + 19.1288i 0.450309 + 0.740115i
\(669\) 5.74238 10.7432i 0.222013 0.415357i
\(670\) −42.8888 + 27.3588i −1.65694 + 1.05696i
\(671\) −0.202620 + 0.202620i −0.00782205 + 0.00782205i
\(672\) −1.91949 2.92280i −0.0740458 0.112750i
\(673\) 13.5304 + 13.5304i 0.521558 + 0.521558i 0.918042 0.396484i \(-0.129770\pi\)
−0.396484 + 0.918042i \(0.629770\pi\)
\(674\) 3.54607 + 0.783950i 0.136589 + 0.0301966i
\(675\) 2.15199 + 1.15026i 0.0828303 + 0.0442737i
\(676\) 13.0830 2.02947i 0.503193 0.0780567i
\(677\) 6.60049 8.04272i 0.253677 0.309107i −0.630564 0.776137i \(-0.717176\pi\)
0.884241 + 0.467031i \(0.154676\pi\)
\(678\) −4.59739 + 5.36553i −0.176562 + 0.206062i
\(679\) 0.957485 + 4.81360i 0.0367449 + 0.184729i
\(680\) 34.2735 8.05544i 1.31433 0.308912i
\(681\) −4.64379 0.923707i −0.177950 0.0353965i
\(682\) −0.147450 0.0176899i −0.00564617 0.000677383i
\(683\) 9.36648 30.8772i 0.358398 1.18148i −0.573636 0.819111i \(-0.694467\pi\)
0.932034 0.362371i \(-0.118033\pi\)
\(684\) 0.257569 + 4.61765i 0.00984841 + 0.176560i
\(685\) 28.4715 + 34.6926i 1.08784 + 1.32554i
\(686\) 0.252675 11.9019i 0.00964717 0.454416i
\(687\) 9.23705 22.3002i 0.352415 0.850806i
\(688\) −1.89121 4.39975i −0.0721017 0.167739i
\(689\) −9.79758 23.6534i −0.373258 0.901125i
\(690\) −10.7258 + 4.17831i −0.408323 + 0.159066i
\(691\) 4.39253 44.5981i 0.167100 1.69659i −0.436823 0.899548i \(-0.643896\pi\)
0.603922 0.797043i \(-0.293604\pi\)
\(692\) 32.4818 + 19.1771i 1.23477 + 0.729003i
\(693\) −0.0972199 0.181886i −0.00369308 0.00690927i
\(694\) 16.4661 + 9.25590i 0.625044 + 0.351349i
\(695\) 30.6907 + 45.9318i 1.16416 + 1.74229i
\(696\) 0.429033 + 1.25658i 0.0162624 + 0.0476305i
\(697\) 12.3703 + 8.26556i 0.468558 + 0.313081i
\(698\) 3.91003 11.9690i 0.147997 0.453033i
\(699\) 6.49846 0.640042i 0.245794 0.0242086i
\(700\) −0.128030 + 3.01397i −0.00483906 + 0.113917i
\(701\) 31.7067 9.61812i 1.19755 0.363271i 0.372336 0.928098i \(-0.378557\pi\)
0.825209 + 0.564827i \(0.191057\pi\)
\(702\) −2.04720 + 2.92737i −0.0772664 + 0.110487i
\(703\) 26.3236i 0.992813i
\(704\) −0.0778874 + 2.66800i −0.00293549 + 0.100554i
\(705\) 20.7701i 0.782248i
\(706\) 14.4233 + 10.0866i 0.542826 + 0.379614i
\(707\) −10.2142 + 3.09845i −0.384145 + 0.116529i
\(708\) 0.419106 + 0.456291i 0.0157510 + 0.0171485i
\(709\) 38.2334 3.76566i 1.43589 0.141422i 0.650066 0.759878i \(-0.274741\pi\)
0.785820 + 0.618456i \(0.212241\pi\)
\(710\) −3.75807 1.22769i −0.141038 0.0460743i
\(711\) −4.60417 3.07641i −0.172670 0.115374i
\(712\) −26.6617 + 23.4653i −0.999188 + 0.879398i
\(713\) 0.521791 + 0.780916i 0.0195412 + 0.0292455i
\(714\) 1.95482 3.47759i 0.0731573 0.130145i
\(715\) −1.08362 2.02731i −0.0405250 0.0758169i
\(716\) −8.41788 32.6846i −0.314591 1.22148i
\(717\) 0.469008 4.76192i 0.0175154 0.177837i
\(718\) 14.0731 + 36.1259i 0.525204 + 1.34821i
\(719\) −5.86170 14.1514i −0.218604 0.527758i 0.776091 0.630621i \(-0.217200\pi\)
−0.994696 + 0.102863i \(0.967200\pi\)
\(720\) −10.7283 1.98639i −0.399820 0.0740285i
\(721\) 1.47065 3.55047i 0.0547699 0.132226i
\(722\) −19.3035 0.409810i −0.718403 0.0152516i
\(723\) −1.92749 2.34865i −0.0716840 0.0873472i
\(724\) −1.49250 1.33479i −0.0554683 0.0496072i
\(725\) 0.332525 1.09619i 0.0123497 0.0407113i
\(726\) 1.83429 15.2893i 0.0680768 0.567439i
\(727\) −32.0902 6.38313i −1.19016 0.236737i −0.440002 0.897997i \(-0.645022\pi\)
−0.750157 + 0.661260i \(0.770022\pi\)
\(728\) −4.35852 0.711672i −0.161538 0.0263763i
\(729\) 0.195090 + 0.980785i 0.00722557 + 0.0363254i
\(730\) −18.6988 16.0219i −0.692075 0.592995i
\(731\) 3.46610 4.22346i 0.128198 0.156210i
\(732\) 1.38643 + 1.01406i 0.0512438 + 0.0374806i
\(733\) −26.4307 14.1275i −0.976239 0.521811i −0.0955087 0.995429i \(-0.530448\pi\)
−0.880730 + 0.473618i \(0.842948\pi\)
\(734\) −3.12796 + 14.1488i −0.115455 + 0.522243i
\(735\) −12.7642 12.7642i −0.470816 0.470816i
\(736\) 13.1334 10.6045i 0.484104 0.390888i
\(737\) 3.11127 3.11127i 0.114605 0.114605i
\(738\) −2.47952 3.88701i −0.0912725 0.143083i
\(739\) −9.51238 + 17.7964i −0.349919 + 0.654652i −0.993887 0.110400i \(-0.964787\pi\)
0.643969 + 0.765052i \(0.277287\pi\)
\(740\) 60.3388 + 14.6894i 2.21810 + 0.539992i
\(741\) 4.51513 + 3.70547i 0.165868 + 0.136124i
\(742\) −0.681135 8.83439i −0.0250052 0.324321i
\(743\) 45.0781 8.96660i 1.65376 0.328953i 0.721960 0.691934i \(-0.243241\pi\)
0.931796 + 0.362982i \(0.118241\pi\)
\(744\) 0.0307021 + 0.889694i 0.00112559 + 0.0326178i
\(745\) 2.76992 13.9253i 0.101482 0.510185i
\(746\) −7.16530 9.11896i −0.262340 0.333869i
\(747\) 2.65249 + 0.804624i 0.0970495 + 0.0294397i
\(748\) −2.74409 + 1.32020i −0.100334 + 0.0482714i
\(749\) −4.99387 + 4.09836i −0.182472 + 0.149751i
\(750\) −6.83270 7.12911i −0.249495 0.260318i
\(751\) 21.3193 + 8.83074i 0.777952 + 0.322238i 0.736089 0.676885i \(-0.236671\pi\)
0.0418633 + 0.999123i \(0.486671\pi\)
\(752\) −9.22759 29.0271i −0.336496 1.05851i
\(753\) −24.6983 + 10.2304i −0.900057 + 0.372816i
\(754\) 1.53534 + 0.674484i 0.0559137 + 0.0245633i
\(755\) 48.7428 + 4.80074i 1.77393 + 0.174717i
\(756\) −0.988086 + 0.743026i −0.0359363 + 0.0270236i
\(757\) −0.572778 + 0.306156i −0.0208180 + 0.0111274i −0.481773 0.876296i \(-0.660007\pi\)
0.460955 + 0.887424i \(0.347507\pi\)
\(758\) −38.2815 + 10.7307i −1.39045 + 0.389758i
\(759\) 0.827810 0.553125i 0.0300476 0.0200772i
\(760\) −4.58689 + 17.2405i −0.166384 + 0.625379i
\(761\) −10.7266 + 16.0536i −0.388841 + 0.581941i −0.973316 0.229471i \(-0.926301\pi\)
0.584475 + 0.811412i \(0.301301\pi\)
\(762\) 22.8878 11.6160i 0.829136 0.420805i
\(763\) −0.548601 5.57004i −0.0198607 0.201649i
\(764\) −17.2241 47.1497i −0.623146 1.70581i
\(765\) −3.61337 11.9117i −0.130642 0.430668i
\(766\) −0.700097 3.95680i −0.0252955 0.142965i
\(767\) 0.782475 0.0282536
\(768\) 15.8757 1.99021i 0.572866 0.0718157i
\(769\) −6.99589 −0.252278 −0.126139 0.992013i \(-0.540259\pi\)
−0.126139 + 0.992013i \(0.540259\pi\)
\(770\) −0.138610 0.783394i −0.00499516 0.0282315i
\(771\) 0.817361 + 2.69448i 0.0294365 + 0.0970393i
\(772\) 14.2570 + 39.0274i 0.513121 + 1.40463i
\(773\) −3.46583 35.1891i