Properties

Label 273.2.by.d.97.4
Level $273$
Weight $2$
Character 273.97
Analytic conductor $2.180$
Analytic rank $0$
Dimension $32$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 273 = 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 273.by (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.17991597518\)
Analytic rank: \(0\)
Dimension: \(32\)
Relative dimension: \(8\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 97.4
Character \(\chi\) \(=\) 273.97
Dual form 273.2.by.d.76.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.189683 - 0.707908i) q^{2} +(-0.866025 - 0.500000i) q^{3} +(1.26690 - 0.731443i) q^{4} +(-1.23329 - 1.23329i) q^{5} +(-0.189683 + 0.707908i) q^{6} +(-2.64473 - 0.0736014i) q^{7} +(-1.79455 - 1.79455i) q^{8} +(0.500000 + 0.866025i) q^{9} +O(q^{10})\) \(q+(-0.189683 - 0.707908i) q^{2} +(-0.866025 - 0.500000i) q^{3} +(1.26690 - 0.731443i) q^{4} +(-1.23329 - 1.23329i) q^{5} +(-0.189683 + 0.707908i) q^{6} +(-2.64473 - 0.0736014i) q^{7} +(-1.79455 - 1.79455i) q^{8} +(0.500000 + 0.866025i) q^{9} +(-0.639122 + 1.10699i) q^{10} +(-3.18977 + 0.854696i) q^{11} -1.46289 q^{12} +(2.53031 - 2.56856i) q^{13} +(0.449558 + 1.88618i) q^{14} +(0.451416 + 1.68471i) q^{15} +(0.532906 - 0.923019i) q^{16} +(-0.433708 - 0.751205i) q^{17} +(0.518224 - 0.518224i) q^{18} +(-1.01858 + 3.80140i) q^{19} +(-2.46454 - 0.660371i) q^{20} +(2.25360 + 1.38610i) q^{21} +(1.21009 + 2.09594i) q^{22} +(-3.77196 - 2.17774i) q^{23} +(0.656852 + 2.45140i) q^{24} -1.95798i q^{25} +(-2.29826 - 1.30401i) q^{26} -1.00000i q^{27} +(-3.40443 + 1.84122i) q^{28} +(2.65427 - 4.59734i) q^{29} +(1.10699 - 0.639122i) q^{30} +(0.220754 + 0.220754i) q^{31} +(-5.65731 - 1.51587i) q^{32} +(3.18977 + 0.854696i) q^{33} +(-0.449517 + 0.449517i) q^{34} +(3.17095 + 3.35249i) q^{35} +(1.26690 + 0.731443i) q^{36} +(-3.57217 + 0.957160i) q^{37} +2.88425 q^{38} +(-3.47560 + 0.959284i) q^{39} +4.42641i q^{40} +(1.90334 - 0.509998i) q^{41} +(0.553764 - 1.85826i) q^{42} +(9.99342 - 5.76970i) q^{43} +(-3.41595 + 3.41595i) q^{44} +(0.451416 - 1.68471i) q^{45} +(-0.826162 + 3.08328i) q^{46} +(3.68984 - 3.68984i) q^{47} +(-0.923019 + 0.532906i) q^{48} +(6.98917 + 0.389311i) q^{49} +(-1.38607 + 0.371397i) q^{50} +0.867417i q^{51} +(1.32689 - 5.10489i) q^{52} -3.55843 q^{53} +(-0.707908 + 0.189683i) q^{54} +(4.98801 + 2.87983i) q^{55} +(4.61402 + 4.87818i) q^{56} +(2.78282 - 2.78282i) q^{57} +(-3.75796 - 1.00694i) q^{58} +(8.89645 + 2.38380i) q^{59} +(1.80417 + 1.80417i) q^{60} +(4.78192 - 2.76084i) q^{61} +(0.114400 - 0.198147i) q^{62} +(-1.25862 - 2.32720i) q^{63} +2.16076i q^{64} +(-6.28840 + 0.0471733i) q^{65} -2.42019i q^{66} +(1.01969 + 3.80552i) q^{67} +(-1.09893 - 0.634466i) q^{68} +(2.17774 + 3.77196i) q^{69} +(1.77178 - 2.88065i) q^{70} +(11.9487 + 3.20164i) q^{71} +(0.656852 - 2.45140i) q^{72} +(5.55302 - 5.55302i) q^{73} +(1.35516 + 2.34721i) q^{74} +(-0.978991 + 1.69566i) q^{75} +(1.49007 + 5.56101i) q^{76} +(8.49898 - 2.02567i) q^{77} +(1.33835 + 2.27844i) q^{78} -15.7334 q^{79} +(-1.79558 + 0.481124i) q^{80} +(-0.500000 + 0.866025i) q^{81} +(-0.722063 - 1.25065i) q^{82} +(-3.80823 - 3.80823i) q^{83} +(3.86894 + 0.107671i) q^{84} +(-0.391566 + 1.46134i) q^{85} +(-5.98000 - 5.98000i) q^{86} +(-4.59734 + 2.65427i) q^{87} +(7.25801 + 4.19041i) q^{88} +(-3.26801 - 12.1964i) q^{89} -1.27824 q^{90} +(-6.88104 + 6.60691i) q^{91} -6.37158 q^{92} +(-0.0808014 - 0.301555i) q^{93} +(-3.31197 - 1.91217i) q^{94} +(5.94444 - 3.43202i) q^{95} +(4.14143 + 4.14143i) q^{96} +(0.756697 - 2.82403i) q^{97} +(-1.05013 - 5.02153i) q^{98} +(-2.33507 - 2.33507i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 32q - 2q^{2} + 6q^{4} + 2q^{5} - 2q^{6} + 2q^{7} + 2q^{8} + 16q^{9} + O(q^{10}) \) \( 32q - 2q^{2} + 6q^{4} + 2q^{5} - 2q^{6} + 2q^{7} + 2q^{8} + 16q^{9} + 2q^{10} - 4q^{11} + 32q^{12} + 6q^{13} + 34q^{14} + 4q^{15} + 14q^{16} - 8q^{17} + 2q^{18} + 2q^{19} + 44q^{20} - 4q^{21} - 4q^{22} - 18q^{23} + 4q^{24} - 28q^{26} - 32q^{28} - 18q^{29} - 14q^{31} - 8q^{32} + 4q^{33} - 66q^{34} + 22q^{35} + 6q^{36} - 24q^{37} + 24q^{38} + 8q^{39} - 26q^{42} - 6q^{43} - 20q^{44} + 4q^{45} - 58q^{46} - 28q^{47} - 60q^{48} + 8q^{49} + 70q^{50} + 28q^{52} - 80q^{53} - 4q^{54} + 60q^{55} - 54q^{56} + 16q^{57} - 4q^{58} - 42q^{59} - 58q^{60} + 36q^{61} + 52q^{62} + 4q^{63} + 14q^{65} + 26q^{67} - 72q^{68} + 2q^{69} - 116q^{70} - 4q^{71} + 4q^{72} + 12q^{73} - 18q^{74} + 16q^{75} - 48q^{76} + 28q^{77} - 14q^{78} - 4q^{79} - 98q^{80} - 16q^{81} + 20q^{82} - 36q^{83} - 18q^{84} - 10q^{85} - 40q^{86} + 96q^{88} - 54q^{89} + 4q^{90} + 148q^{91} - 4q^{92} + 2q^{93} + 60q^{95} + 22q^{96} - 40q^{97} + 36q^{98} + 4q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).

\(n\) \(92\) \(106\) \(157\)
\(\chi(n)\) \(1\) \(e\left(\frac{5}{12}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.189683 0.707908i −0.134126 0.500566i −1.00000 0.000303559i \(-0.999903\pi\)
0.865874 0.500263i \(-0.166763\pi\)
\(3\) −0.866025 0.500000i −0.500000 0.288675i
\(4\) 1.26690 0.731443i 0.633449 0.365722i
\(5\) −1.23329 1.23329i −0.551545 0.551545i 0.375342 0.926887i \(-0.377525\pi\)
−0.926887 + 0.375342i \(0.877525\pi\)
\(6\) −0.189683 + 0.707908i −0.0774379 + 0.289002i
\(7\) −2.64473 0.0736014i −0.999613 0.0278187i
\(8\) −1.79455 1.79455i −0.634470 0.634470i
\(9\) 0.500000 + 0.866025i 0.166667 + 0.288675i
\(10\) −0.639122 + 1.10699i −0.202108 + 0.350062i
\(11\) −3.18977 + 0.854696i −0.961752 + 0.257701i −0.705342 0.708867i \(-0.749206\pi\)
−0.256410 + 0.966568i \(0.582540\pi\)
\(12\) −1.46289 −0.422299
\(13\) 2.53031 2.56856i 0.701783 0.712391i
\(14\) 0.449558 + 1.88618i 0.120149 + 0.504104i
\(15\) 0.451416 + 1.68471i 0.116555 + 0.434990i
\(16\) 0.532906 0.923019i 0.133226 0.230755i
\(17\) −0.433708 0.751205i −0.105190 0.182194i 0.808626 0.588323i \(-0.200212\pi\)
−0.913816 + 0.406129i \(0.866878\pi\)
\(18\) 0.518224 0.518224i 0.122147 0.122147i
\(19\) −1.01858 + 3.80140i −0.233679 + 0.872100i 0.745061 + 0.666996i \(0.232420\pi\)
−0.978740 + 0.205105i \(0.934247\pi\)
\(20\) −2.46454 0.660371i −0.551087 0.147663i
\(21\) 2.25360 + 1.38610i 0.491776 + 0.302473i
\(22\) 1.21009 + 2.09594i 0.257993 + 0.446856i
\(23\) −3.77196 2.17774i −0.786508 0.454090i 0.0522240 0.998635i \(-0.483369\pi\)
−0.838732 + 0.544545i \(0.816702\pi\)
\(24\) 0.656852 + 2.45140i 0.134079 + 0.500391i
\(25\) 1.95798i 0.391596i
\(26\) −2.29826 1.30401i −0.450727 0.255738i
\(27\) 1.00000i 0.192450i
\(28\) −3.40443 + 1.84122i −0.643377 + 0.347958i
\(29\) 2.65427 4.59734i 0.492886 0.853704i −0.507080 0.861899i \(-0.669275\pi\)
0.999966 + 0.00819474i \(0.00260850\pi\)
\(30\) 1.10699 0.639122i 0.202108 0.116687i
\(31\) 0.220754 + 0.220754i 0.0396485 + 0.0396485i 0.726653 0.687005i \(-0.241075\pi\)
−0.687005 + 0.726653i \(0.741075\pi\)
\(32\) −5.65731 1.51587i −1.00008 0.267971i
\(33\) 3.18977 + 0.854696i 0.555268 + 0.148784i
\(34\) −0.449517 + 0.449517i −0.0770915 + 0.0770915i
\(35\) 3.17095 + 3.35249i 0.535988 + 0.566675i
\(36\) 1.26690 + 0.731443i 0.211150 + 0.121907i
\(37\) −3.57217 + 0.957160i −0.587261 + 0.157356i −0.540201 0.841536i \(-0.681652\pi\)
−0.0470599 + 0.998892i \(0.514985\pi\)
\(38\) 2.88425 0.467887
\(39\) −3.47560 + 0.959284i −0.556541 + 0.153608i
\(40\) 4.42641i 0.699878i
\(41\) 1.90334 0.509998i 0.297251 0.0796483i −0.107111 0.994247i \(-0.534160\pi\)
0.404363 + 0.914599i \(0.367493\pi\)
\(42\) 0.553764 1.85826i 0.0854476 0.286736i
\(43\) 9.99342 5.76970i 1.52398 0.879872i 0.524386 0.851481i \(-0.324295\pi\)
0.999597 0.0283909i \(-0.00903832\pi\)
\(44\) −3.41595 + 3.41595i −0.514974 + 0.514974i
\(45\) 0.451416 1.68471i 0.0672931 0.251141i
\(46\) −0.826162 + 3.08328i −0.121811 + 0.454605i
\(47\) 3.68984 3.68984i 0.538219 0.538219i −0.384786 0.923006i \(-0.625725\pi\)
0.923006 + 0.384786i \(0.125725\pi\)
\(48\) −0.923019 + 0.532906i −0.133226 + 0.0769183i
\(49\) 6.98917 + 0.389311i 0.998452 + 0.0556159i
\(50\) −1.38607 + 0.371397i −0.196020 + 0.0525234i
\(51\) 0.867417i 0.121463i
\(52\) 1.32689 5.10489i 0.184006 0.707920i
\(53\) −3.55843 −0.488788 −0.244394 0.969676i \(-0.578589\pi\)
−0.244394 + 0.969676i \(0.578589\pi\)
\(54\) −0.707908 + 0.189683i −0.0963341 + 0.0258126i
\(55\) 4.98801 + 2.87983i 0.672583 + 0.388316i
\(56\) 4.61402 + 4.87818i 0.616575 + 0.651875i
\(57\) 2.78282 2.78282i 0.368593 0.368593i
\(58\) −3.75796 1.00694i −0.493445 0.132218i
\(59\) 8.89645 + 2.38380i 1.15822 + 0.310344i 0.786255 0.617903i \(-0.212017\pi\)
0.371965 + 0.928247i \(0.378684\pi\)
\(60\) 1.80417 + 1.80417i 0.232917 + 0.232917i
\(61\) 4.78192 2.76084i 0.612262 0.353490i −0.161588 0.986858i \(-0.551662\pi\)
0.773850 + 0.633369i \(0.218328\pi\)
\(62\) 0.114400 0.198147i 0.0145288 0.0251646i
\(63\) −1.25862 2.32720i −0.158572 0.293200i
\(64\) 2.16076i 0.270095i
\(65\) −6.28840 + 0.0471733i −0.779980 + 0.00585112i
\(66\) 2.42019i 0.297904i
\(67\) 1.01969 + 3.80552i 0.124575 + 0.464919i 0.999824 0.0187529i \(-0.00596958\pi\)
−0.875250 + 0.483672i \(0.839303\pi\)
\(68\) −1.09893 0.634466i −0.133265 0.0769403i
\(69\) 2.17774 + 3.77196i 0.262169 + 0.454090i
\(70\) 1.77178 2.88065i 0.211768 0.344304i
\(71\) 11.9487 + 3.20164i 1.41805 + 0.379965i 0.884791 0.465987i \(-0.154301\pi\)
0.533258 + 0.845952i \(0.320967\pi\)
\(72\) 0.656852 2.45140i 0.0774107 0.288901i
\(73\) 5.55302 5.55302i 0.649932 0.649932i −0.303044 0.952977i \(-0.598003\pi\)
0.952977 + 0.303044i \(0.0980030\pi\)
\(74\) 1.35516 + 2.34721i 0.157534 + 0.272858i
\(75\) −0.978991 + 1.69566i −0.113044 + 0.195798i
\(76\) 1.49007 + 5.56101i 0.170923 + 0.637892i
\(77\) 8.49898 2.02567i 0.968549 0.230846i
\(78\) 1.33835 + 2.27844i 0.151538 + 0.257983i
\(79\) −15.7334 −1.77015 −0.885073 0.465453i \(-0.845891\pi\)
−0.885073 + 0.465453i \(0.845891\pi\)
\(80\) −1.79558 + 0.481124i −0.200752 + 0.0537913i
\(81\) −0.500000 + 0.866025i −0.0555556 + 0.0962250i
\(82\) −0.722063 1.25065i −0.0797385 0.138111i
\(83\) −3.80823 3.80823i −0.418007 0.418007i 0.466509 0.884516i \(-0.345512\pi\)
−0.884516 + 0.466509i \(0.845512\pi\)
\(84\) 3.86894 + 0.107671i 0.422136 + 0.0117478i
\(85\) −0.391566 + 1.46134i −0.0424713 + 0.158505i
\(86\) −5.98000 5.98000i −0.644841 0.644841i
\(87\) −4.59734 + 2.65427i −0.492886 + 0.284568i
\(88\) 7.25801 + 4.19041i 0.773706 + 0.446700i
\(89\) −3.26801 12.1964i −0.346409 1.29282i −0.890958 0.454086i \(-0.849966\pi\)
0.544549 0.838729i \(-0.316701\pi\)
\(90\) −1.27824 −0.134739
\(91\) −6.88104 + 6.60691i −0.721329 + 0.692593i
\(92\) −6.37158 −0.664283
\(93\) −0.0808014 0.301555i −0.00837872 0.0312698i
\(94\) −3.31197 1.91217i −0.341604 0.197225i
\(95\) 5.94444 3.43202i 0.609887 0.352118i
\(96\) 4.14143 + 4.14143i 0.422683 + 0.422683i
\(97\) 0.756697 2.82403i 0.0768309 0.286737i −0.916811 0.399321i \(-0.869246\pi\)
0.993642 + 0.112584i \(0.0359127\pi\)
\(98\) −1.05013 5.02153i −0.106079 0.507251i
\(99\) −2.33507 2.33507i −0.234684 0.234684i
\(100\) −1.43215 2.48056i −0.143215 0.248056i
\(101\) −4.75389 + 8.23397i −0.473029 + 0.819311i −0.999523 0.0308679i \(-0.990173\pi\)
0.526494 + 0.850179i \(0.323506\pi\)
\(102\) 0.614051 0.164534i 0.0608001 0.0162913i
\(103\) −8.04351 −0.792551 −0.396275 0.918132i \(-0.629697\pi\)
−0.396275 + 0.918132i \(0.629697\pi\)
\(104\) −9.15020 + 0.0686414i −0.897251 + 0.00673085i
\(105\) −1.06988 4.48882i −0.104409 0.438064i
\(106\) 0.674975 + 2.51904i 0.0655594 + 0.244671i
\(107\) 5.49111 9.51088i 0.530845 0.919451i −0.468507 0.883460i \(-0.655208\pi\)
0.999352 0.0359912i \(-0.0114588\pi\)
\(108\) −0.731443 1.26690i −0.0703832 0.121907i
\(109\) −2.13897 + 2.13897i −0.204876 + 0.204876i −0.802086 0.597209i \(-0.796276\pi\)
0.597209 + 0.802086i \(0.296276\pi\)
\(110\) 1.09251 4.07731i 0.104167 0.388756i
\(111\) 3.57217 + 0.957160i 0.339055 + 0.0908496i
\(112\) −1.47733 + 2.40191i −0.139594 + 0.226959i
\(113\) 7.04028 + 12.1941i 0.662294 + 1.14713i 0.980011 + 0.198941i \(0.0637503\pi\)
−0.317718 + 0.948185i \(0.602916\pi\)
\(114\) −2.49783 1.44212i −0.233943 0.135067i
\(115\) 1.96614 + 7.33772i 0.183343 + 0.684246i
\(116\) 7.76581i 0.721037i
\(117\) 3.48960 + 0.907034i 0.322613 + 0.0838553i
\(118\) 6.75004i 0.621391i
\(119\) 1.09175 + 2.01865i 0.100081 + 0.185050i
\(120\) 2.21321 3.83339i 0.202037 0.349939i
\(121\) −0.0821489 + 0.0474287i −0.00746808 + 0.00431170i
\(122\) −2.86147 2.86147i −0.259066 0.259066i
\(123\) −1.90334 0.509998i −0.171618 0.0459849i
\(124\) 0.441141 + 0.118203i 0.0396156 + 0.0106150i
\(125\) −8.58122 + 8.58122i −0.767528 + 0.767528i
\(126\) −1.40870 + 1.33242i −0.125497 + 0.118701i
\(127\) 4.95962 + 2.86344i 0.440095 + 0.254089i 0.703638 0.710559i \(-0.251558\pi\)
−0.263543 + 0.964648i \(0.584891\pi\)
\(128\) −9.78499 + 2.62188i −0.864879 + 0.231744i
\(129\) −11.5394 −1.01599
\(130\) 1.22620 + 4.44266i 0.107545 + 0.389647i
\(131\) 21.7908i 1.90387i 0.306294 + 0.951937i \(0.400911\pi\)
−0.306294 + 0.951937i \(0.599089\pi\)
\(132\) 4.66627 1.25032i 0.406147 0.108827i
\(133\) 2.97366 9.97869i 0.257849 0.865262i
\(134\) 2.50054 1.44369i 0.216014 0.124716i
\(135\) −1.23329 + 1.23329i −0.106145 + 0.106145i
\(136\) −0.569764 + 2.12639i −0.0488569 + 0.182336i
\(137\) 0.00993599 0.0370816i 0.000848889 0.00316810i −0.965500 0.260403i \(-0.916145\pi\)
0.966349 + 0.257235i \(0.0828113\pi\)
\(138\) 2.25712 2.25712i 0.192139 0.192139i
\(139\) −14.5766 + 8.41579i −1.23637 + 0.713818i −0.968350 0.249596i \(-0.919702\pi\)
−0.268018 + 0.963414i \(0.586369\pi\)
\(140\) 6.46942 + 1.92789i 0.546766 + 0.162937i
\(141\) −5.04042 + 1.35058i −0.424480 + 0.113739i
\(142\) 9.06588i 0.760792i
\(143\) −5.87578 + 10.3558i −0.491357 + 0.865994i
\(144\) 1.06581 0.0888176
\(145\) −8.94335 + 2.39636i −0.742705 + 0.199007i
\(146\) −4.98435 2.87771i −0.412507 0.238161i
\(147\) −5.85814 3.83174i −0.483171 0.316036i
\(148\) −3.82546 + 3.82546i −0.314451 + 0.314451i
\(149\) 13.8533 + 3.71198i 1.13491 + 0.304097i 0.776901 0.629622i \(-0.216790\pi\)
0.358005 + 0.933720i \(0.383457\pi\)
\(150\) 1.38607 + 0.371397i 0.113172 + 0.0303244i
\(151\) −16.8022 16.8022i −1.36735 1.36735i −0.864204 0.503142i \(-0.832177\pi\)
−0.503142 0.864204i \(-0.667823\pi\)
\(152\) 8.64971 4.99391i 0.701584 0.405060i
\(153\) 0.433708 0.751205i 0.0350632 0.0607313i
\(154\) −3.04610 5.63226i −0.245462 0.453860i
\(155\) 0.544507i 0.0437359i
\(156\) −3.70156 + 3.75752i −0.296362 + 0.300842i
\(157\) 15.4058i 1.22952i −0.788715 0.614758i \(-0.789254\pi\)
0.788715 0.614758i \(-0.210746\pi\)
\(158\) 2.98436 + 11.1378i 0.237423 + 0.886075i
\(159\) 3.08169 + 1.77922i 0.244394 + 0.141101i
\(160\) 5.10760 + 8.84662i 0.403791 + 0.699387i
\(161\) 9.81552 + 6.03715i 0.773571 + 0.475794i
\(162\) 0.707908 + 0.189683i 0.0556185 + 0.0149029i
\(163\) −0.340861 + 1.27211i −0.0266983 + 0.0996393i −0.977989 0.208655i \(-0.933091\pi\)
0.951291 + 0.308294i \(0.0997581\pi\)
\(164\) 2.03830 2.03830i 0.159164 0.159164i
\(165\) −2.87983 4.98801i −0.224194 0.388316i
\(166\) −1.97352 + 3.41823i −0.153175 + 0.265306i
\(167\) −6.28848 23.4689i −0.486617 1.81608i −0.572665 0.819789i \(-0.694091\pi\)
0.0860480 0.996291i \(-0.472576\pi\)
\(168\) −1.55677 6.53164i −0.120107 0.503927i
\(169\) −0.195031 12.9985i −0.0150024 0.999887i
\(170\) 1.10877 0.0850388
\(171\) −3.80140 + 1.01858i −0.290700 + 0.0778929i
\(172\) 8.44042 14.6192i 0.643576 1.11471i
\(173\) −0.316932 0.548943i −0.0240959 0.0417353i 0.853726 0.520722i \(-0.174337\pi\)
−0.877822 + 0.478987i \(0.841004\pi\)
\(174\) 2.75102 + 2.75102i 0.208554 + 0.208554i
\(175\) −0.144110 + 5.17833i −0.0108937 + 0.391445i
\(176\) −0.910945 + 3.39969i −0.0686651 + 0.256261i
\(177\) −6.51266 6.51266i −0.489521 0.489521i
\(178\) −8.01403 + 4.62691i −0.600677 + 0.346801i
\(179\) 12.6821 + 7.32204i 0.947908 + 0.547275i 0.892431 0.451185i \(-0.148998\pi\)
0.0554778 + 0.998460i \(0.482332\pi\)
\(180\) −0.660371 2.46454i −0.0492211 0.183696i
\(181\) 6.41112 0.476535 0.238267 0.971200i \(-0.423421\pi\)
0.238267 + 0.971200i \(0.423421\pi\)
\(182\) 5.98230 + 3.61792i 0.443438 + 0.268178i
\(183\) −5.52169 −0.408175
\(184\) 2.86091 + 10.6770i 0.210909 + 0.787122i
\(185\) 5.58598 + 3.22507i 0.410690 + 0.237112i
\(186\) −0.198147 + 0.114400i −0.0145288 + 0.00838821i
\(187\) 2.02548 + 2.02548i 0.148118 + 0.148118i
\(188\) 1.97574 7.37357i 0.144096 0.537773i
\(189\) −0.0736014 + 2.64473i −0.00535372 + 0.192376i
\(190\) −3.55712 3.55712i −0.258060 0.258060i
\(191\) 2.37706 + 4.11718i 0.171998 + 0.297909i 0.939118 0.343594i \(-0.111644\pi\)
−0.767120 + 0.641503i \(0.778311\pi\)
\(192\) 1.08038 1.87128i 0.0779698 0.135048i
\(193\) −9.10651 + 2.44008i −0.655501 + 0.175641i −0.571215 0.820801i \(-0.693528\pi\)
−0.0842861 + 0.996442i \(0.526861\pi\)
\(194\) −2.14269 −0.153836
\(195\) 5.46950 + 3.10335i 0.391679 + 0.222235i
\(196\) 9.13931 4.61896i 0.652808 0.329926i
\(197\) 2.90812 + 10.8532i 0.207195 + 0.773262i 0.988769 + 0.149450i \(0.0477503\pi\)
−0.781574 + 0.623812i \(0.785583\pi\)
\(198\) −1.21009 + 2.09594i −0.0859975 + 0.148952i
\(199\) −6.27981 10.8770i −0.445164 0.771047i 0.552899 0.833248i \(-0.313521\pi\)
−0.998064 + 0.0622009i \(0.980188\pi\)
\(200\) −3.51370 + 3.51370i −0.248456 + 0.248456i
\(201\) 1.01969 3.80552i 0.0719232 0.268421i
\(202\) 6.73063 + 1.80347i 0.473565 + 0.126891i
\(203\) −7.35820 + 11.9633i −0.516445 + 0.839662i
\(204\) 0.634466 + 1.09893i 0.0444215 + 0.0769403i
\(205\) −2.97635 1.71839i −0.207877 0.120018i
\(206\) 1.52572 + 5.69406i 0.106302 + 0.396724i
\(207\) 4.35548i 0.302727i
\(208\) −1.02242 3.70433i −0.0708918 0.256849i
\(209\) 12.9962i 0.898963i
\(210\) −2.97473 + 1.60883i −0.205276 + 0.111020i
\(211\) −5.70417 + 9.87991i −0.392691 + 0.680161i −0.992804 0.119755i \(-0.961789\pi\)
0.600112 + 0.799916i \(0.295123\pi\)
\(212\) −4.50817 + 2.60279i −0.309622 + 0.178760i
\(213\) −8.74706 8.74706i −0.599338 0.599338i
\(214\) −7.77440 2.08314i −0.531447 0.142401i
\(215\) −19.4405 5.20908i −1.32583 0.355256i
\(216\) −1.79455 + 1.79455i −0.122104 + 0.122104i
\(217\) −0.567585 0.600081i −0.0385302 0.0407362i
\(218\) 1.91992 + 1.10847i 0.130034 + 0.0750749i
\(219\) −7.58557 + 2.03255i −0.512585 + 0.137347i
\(220\) 8.42572 0.568062
\(221\) −3.02693 0.786776i −0.203614 0.0529243i
\(222\) 2.71032i 0.181905i
\(223\) 7.03645 1.88541i 0.471196 0.126257i −0.0154044 0.999881i \(-0.504904\pi\)
0.486600 + 0.873625i \(0.338237\pi\)
\(224\) 14.8505 + 4.42545i 0.992238 + 0.295688i
\(225\) 1.69566 0.978991i 0.113044 0.0652661i
\(226\) 7.29689 7.29689i 0.485382 0.485382i
\(227\) −6.07133 + 22.6585i −0.402968 + 1.50390i 0.404804 + 0.914404i \(0.367340\pi\)
−0.807772 + 0.589495i \(0.799327\pi\)
\(228\) 1.49007 5.56101i 0.0986822 0.368287i
\(229\) 16.2331 16.2331i 1.07271 1.07271i 0.0755720 0.997140i \(-0.475922\pi\)
0.997140 0.0755720i \(-0.0240783\pi\)
\(230\) 4.82148 2.78368i 0.317919 0.183551i
\(231\) −8.37317 2.49521i −0.550914 0.164173i
\(232\) −13.0134 + 3.48693i −0.854372 + 0.228928i
\(233\) 16.5274i 1.08274i 0.840783 + 0.541372i \(0.182095\pi\)
−0.840783 + 0.541372i \(0.817905\pi\)
\(234\) −0.0198220 2.64236i −0.00129581 0.172737i
\(235\) −9.10131 −0.593704
\(236\) 13.0145 3.48723i 0.847172 0.226999i
\(237\) 13.6255 + 7.86670i 0.885073 + 0.510997i
\(238\) 1.22193 1.15576i 0.0792062 0.0749170i
\(239\) 18.8339 18.8339i 1.21826 1.21826i 0.250025 0.968239i \(-0.419561\pi\)
0.968239 0.250025i \(-0.0804389\pi\)
\(240\) 1.79558 + 0.481124i 0.115904 + 0.0310564i
\(241\) 1.11909 + 0.299860i 0.0720871 + 0.0193157i 0.294682 0.955595i \(-0.404786\pi\)
−0.222595 + 0.974911i \(0.571453\pi\)
\(242\) 0.0491574 + 0.0491574i 0.00315996 + 0.00315996i
\(243\) 0.866025 0.500000i 0.0555556 0.0320750i
\(244\) 4.03880 6.99541i 0.258558 0.447835i
\(245\) −8.13955 9.09982i −0.520017 0.581366i
\(246\) 1.44413i 0.0920741i
\(247\) 7.18680 + 12.2350i 0.457285 + 0.778495i
\(248\) 0.792308i 0.0503116i
\(249\) 1.39391 + 5.20214i 0.0883354 + 0.329672i
\(250\) 7.70243 + 4.44700i 0.487144 + 0.281253i
\(251\) 6.82617 + 11.8233i 0.430864 + 0.746278i 0.996948 0.0780693i \(-0.0248756\pi\)
−0.566084 + 0.824348i \(0.691542\pi\)
\(252\) −3.29676 2.02771i −0.207676 0.127734i
\(253\) 13.8930 + 3.72262i 0.873445 + 0.234039i
\(254\) 1.08629 4.05410i 0.0681600 0.254377i
\(255\) 1.06978 1.06978i 0.0669921 0.0669921i
\(256\) 5.87286 + 10.1721i 0.367054 + 0.635756i
\(257\) −0.128138 + 0.221941i −0.00799302 + 0.0138443i −0.869994 0.493062i \(-0.835878\pi\)
0.862001 + 0.506906i \(0.169211\pi\)
\(258\) 2.18883 + 8.16884i 0.136271 + 0.508570i
\(259\) 9.51786 2.26851i 0.591411 0.140958i
\(260\) −7.93225 + 4.65937i −0.491938 + 0.288962i
\(261\) 5.30855 0.328591
\(262\) 15.4259 4.13336i 0.953015 0.255360i
\(263\) 6.21656 10.7674i 0.383329 0.663946i −0.608206 0.793779i \(-0.708111\pi\)
0.991536 + 0.129833i \(0.0414441\pi\)
\(264\) −4.19041 7.25801i −0.257902 0.446700i
\(265\) 4.38858 + 4.38858i 0.269589 + 0.269589i
\(266\) −7.62805 0.212285i −0.467706 0.0130160i
\(267\) −3.26801 + 12.1964i −0.199999 + 0.746407i
\(268\) 4.07536 + 4.07536i 0.248942 + 0.248942i
\(269\) 23.9300 13.8160i 1.45904 0.842375i 0.460072 0.887882i \(-0.347824\pi\)
0.998964 + 0.0455067i \(0.0144902\pi\)
\(270\) 1.10699 + 0.639122i 0.0673694 + 0.0388957i
\(271\) 7.85980 + 29.3332i 0.477449 + 1.78186i 0.611891 + 0.790942i \(0.290409\pi\)
−0.134442 + 0.990921i \(0.542924\pi\)
\(272\) −0.924502 −0.0560562
\(273\) 9.26261 2.28124i 0.560599 0.138067i
\(274\) −0.0281351 −0.00169970
\(275\) 1.67348 + 6.24551i 0.100915 + 0.376619i
\(276\) 5.51795 + 3.18579i 0.332141 + 0.191762i
\(277\) 9.29180 5.36462i 0.558290 0.322329i −0.194169 0.980968i \(-0.562201\pi\)
0.752459 + 0.658639i \(0.228868\pi\)
\(278\) 8.72253 + 8.72253i 0.523143 + 0.523143i
\(279\) −0.0808014 + 0.301555i −0.00483746 + 0.0180536i
\(280\) 0.325790 11.7067i 0.0194697 0.699607i
\(281\) −17.6179 17.6179i −1.05099 1.05099i −0.998628 0.0523655i \(-0.983324\pi\)
−0.0523655 0.998628i \(-0.516676\pi\)
\(282\) 1.91217 + 3.31197i 0.113868 + 0.197225i
\(283\) −4.91523 + 8.51342i −0.292180 + 0.506070i −0.974325 0.225147i \(-0.927714\pi\)
0.682145 + 0.731217i \(0.261047\pi\)
\(284\) 17.4796 4.68364i 1.03722 0.277923i
\(285\) −6.86405 −0.406591
\(286\) 8.44547 + 2.19519i 0.499391 + 0.129804i
\(287\) −5.07134 + 1.20872i −0.299352 + 0.0713483i
\(288\) −1.51587 5.65731i −0.0893235 0.333360i
\(289\) 8.12379 14.0708i 0.477870 0.827696i
\(290\) 3.39281 + 5.87652i 0.199233 + 0.345081i
\(291\) −2.06733 + 2.06733i −0.121189 + 0.121189i
\(292\) 2.97339 11.0968i 0.174004 0.649393i
\(293\) −24.9107 6.67480i −1.45530 0.389946i −0.557435 0.830221i \(-0.688214\pi\)
−0.897863 + 0.440275i \(0.854881\pi\)
\(294\) −1.60132 + 4.87384i −0.0933912 + 0.284248i
\(295\) −8.03201 13.9118i −0.467641 0.809979i
\(296\) 8.12812 + 4.69277i 0.472437 + 0.272762i
\(297\) 0.854696 + 3.18977i 0.0495945 + 0.185089i
\(298\) 10.5110i 0.608883i
\(299\) −15.1379 + 4.17815i −0.875447 + 0.241628i
\(300\) 2.86431i 0.165371i
\(301\) −26.8545 + 14.5238i −1.54787 + 0.837136i
\(302\) −8.70733 + 15.0815i −0.501050 + 0.867845i
\(303\) 8.23397 4.75389i 0.473029 0.273104i
\(304\) 2.96596 + 2.96596i 0.170109 + 0.170109i
\(305\) −9.30243 2.49258i −0.532656 0.142725i
\(306\) −0.614051 0.164534i −0.0351030 0.00940581i
\(307\) −3.13433 + 3.13433i −0.178886 + 0.178886i −0.790870 0.611984i \(-0.790372\pi\)
0.611984 + 0.790870i \(0.290372\pi\)
\(308\) 9.28567 8.78284i 0.529100 0.500448i
\(309\) 6.96588 + 4.02175i 0.396275 + 0.228790i
\(310\) −0.385461 + 0.103284i −0.0218927 + 0.00586614i
\(311\) 22.3642 1.26816 0.634078 0.773269i \(-0.281380\pi\)
0.634078 + 0.773269i \(0.281380\pi\)
\(312\) 7.95863 + 4.51566i 0.450569 + 0.255649i
\(313\) 5.32563i 0.301022i 0.988608 + 0.150511i \(0.0480919\pi\)
−0.988608 + 0.150511i \(0.951908\pi\)
\(314\) −10.9059 + 2.92222i −0.615455 + 0.164911i
\(315\) −1.31787 + 4.42237i −0.0742535 + 0.249172i
\(316\) −19.9326 + 11.5081i −1.12130 + 0.647380i
\(317\) 9.55320 9.55320i 0.536561 0.536561i −0.385956 0.922517i \(-0.626128\pi\)
0.922517 + 0.385956i \(0.126128\pi\)
\(318\) 0.674975 2.51904i 0.0378507 0.141261i
\(319\) −4.53720 + 16.9331i −0.254034 + 0.948069i
\(320\) 2.66485 2.66485i 0.148970 0.148970i
\(321\) −9.51088 + 5.49111i −0.530845 + 0.306484i
\(322\) 2.41191 8.09363i 0.134410 0.451040i
\(323\) 3.29740 0.883534i 0.183472 0.0491612i
\(324\) 1.46289i 0.0812715i
\(325\) −5.02920 4.95431i −0.278970 0.274816i
\(326\) 0.965192 0.0534571
\(327\) 2.92189 0.782918i 0.161581 0.0432955i
\(328\) −4.33086 2.50042i −0.239132 0.138063i
\(329\) −10.0302 + 9.48706i −0.552983 + 0.523038i
\(330\) −2.98479 + 2.98479i −0.164308 + 0.164308i
\(331\) 9.25799 + 2.48067i 0.508865 + 0.136350i 0.504111 0.863639i \(-0.331820\pi\)
0.00475394 + 0.999989i \(0.498487\pi\)
\(332\) −7.61014 2.03913i −0.417661 0.111912i
\(333\) −2.61501 2.61501i −0.143302 0.143302i
\(334\) −15.4210 + 8.90333i −0.843801 + 0.487169i
\(335\) 3.43575 5.95089i 0.187715 0.325132i
\(336\) 2.48036 1.34145i 0.135315 0.0731823i
\(337\) 27.7219i 1.51011i 0.655663 + 0.755053i \(0.272389\pi\)
−0.655663 + 0.755053i \(0.727611\pi\)
\(338\) −9.16477 + 2.60367i −0.498498 + 0.141621i
\(339\) 14.0806i 0.764751i
\(340\) 0.572817 + 2.13778i 0.0310653 + 0.115937i
\(341\) −0.892831 0.515476i −0.0483495 0.0279146i
\(342\) 1.44212 + 2.49783i 0.0779811 + 0.135067i
\(343\) −18.4558 1.54403i −0.996519 0.0833700i
\(344\) −28.2878 7.57968i −1.52517 0.408669i
\(345\) 1.96614 7.33772i 0.105853 0.395049i
\(346\) −0.328484 + 0.328484i −0.0176594 + 0.0176594i
\(347\) −11.5943 20.0819i −0.622413 1.07805i −0.989035 0.147681i \(-0.952819\pi\)
0.366622 0.930370i \(-0.380514\pi\)
\(348\) −3.88290 + 6.72538i −0.208145 + 0.360518i
\(349\) 4.20372 + 15.6885i 0.225020 + 0.839787i 0.982396 + 0.186808i \(0.0598142\pi\)
−0.757376 + 0.652979i \(0.773519\pi\)
\(350\) 3.69312 0.880226i 0.197405 0.0470501i
\(351\) −2.56856 2.53031i −0.137100 0.135058i
\(352\) 19.3411 1.03088
\(353\) 12.1897 3.26621i 0.648790 0.173843i 0.0806085 0.996746i \(-0.474314\pi\)
0.568182 + 0.822903i \(0.307647\pi\)
\(354\) −3.37502 + 5.84570i −0.179380 + 0.310696i
\(355\) −10.7877 18.6848i −0.572550 0.991686i
\(356\) −13.0612 13.0612i −0.692243 0.692243i
\(357\) 0.0638431 2.29408i 0.00337893 0.121416i
\(358\) 2.77774 10.3667i 0.146808 0.547895i
\(359\) −2.03793 2.03793i −0.107558 0.107558i 0.651280 0.758838i \(-0.274232\pi\)
−0.758838 + 0.651280i \(0.774232\pi\)
\(360\) −3.83339 + 2.21321i −0.202037 + 0.116646i
\(361\) 3.04137 + 1.75593i 0.160072 + 0.0924176i
\(362\) −1.21608 4.53848i −0.0639159 0.238537i
\(363\) 0.0948573 0.00497872
\(364\) −3.88498 + 13.4034i −0.203628 + 0.702527i
\(365\) −13.6970 −0.716934
\(366\) 1.04737 + 3.90885i 0.0547470 + 0.204319i
\(367\) −24.3990 14.0868i −1.27362 0.735325i −0.297953 0.954581i \(-0.596304\pi\)
−0.975667 + 0.219256i \(0.929637\pi\)
\(368\) −4.02019 + 2.32106i −0.209567 + 0.120994i
\(369\) 1.39334 + 1.39334i 0.0725344 + 0.0725344i
\(370\) 1.22348 4.56610i 0.0636059 0.237380i
\(371\) 9.41108 + 0.261906i 0.488599 + 0.0135975i
\(372\) −0.322938 0.322938i −0.0167435 0.0167435i
\(373\) 12.9669 + 22.4593i 0.671400 + 1.16290i 0.977507 + 0.210902i \(0.0676402\pi\)
−0.306107 + 0.951997i \(0.599026\pi\)
\(374\) 1.04965 1.81805i 0.0542763 0.0940094i
\(375\) 11.7222 3.14095i 0.605330 0.162198i
\(376\) −13.2432 −0.682968
\(377\) −5.09241 18.4504i −0.262272 0.950243i
\(378\) 1.88618 0.449558i 0.0970148 0.0231228i
\(379\) −8.41204 31.3942i −0.432097 1.61261i −0.747918 0.663791i \(-0.768946\pi\)
0.315821 0.948819i \(-0.397720\pi\)
\(380\) 5.02066 8.69604i 0.257555 0.446098i
\(381\) −2.86344 4.95962i −0.146698 0.254089i
\(382\) 2.46370 2.46370i 0.126054 0.126054i
\(383\) −1.42917 + 5.33373i −0.0730271 + 0.272541i −0.992779 0.119960i \(-0.961723\pi\)
0.919752 + 0.392501i \(0.128390\pi\)
\(384\) 9.78499 + 2.62188i 0.499338 + 0.133797i
\(385\) −12.9800 7.98348i −0.661520 0.406876i
\(386\) 3.45471 + 5.98373i 0.175840 + 0.304564i
\(387\) 9.99342 + 5.76970i 0.507994 + 0.293291i
\(388\) −1.10696 4.13124i −0.0561975 0.209732i
\(389\) 24.3224i 1.23319i 0.787279 + 0.616597i \(0.211489\pi\)
−0.787279 + 0.616597i \(0.788511\pi\)
\(390\) 1.15941 4.46056i 0.0587090 0.225869i
\(391\) 3.77802i 0.191063i
\(392\) −11.8438 13.2411i −0.598202 0.668775i
\(393\) 10.8954 18.8714i 0.549601 0.951937i
\(394\) 7.13148 4.11736i 0.359279 0.207430i
\(395\) 19.4039 + 19.4039i 0.976315 + 0.976315i
\(396\) −4.66627 1.25032i −0.234489 0.0628312i
\(397\) −10.3563 2.77495i −0.519765 0.139271i −0.0106073 0.999944i \(-0.503376\pi\)
−0.509158 + 0.860673i \(0.670043\pi\)
\(398\) −6.50871 + 6.50871i −0.326252 + 0.326252i
\(399\) −7.56461 + 7.15497i −0.378704 + 0.358197i
\(400\) −1.80726 1.04342i −0.0903628 0.0521710i
\(401\) 25.6010 6.85977i 1.27845 0.342561i 0.445190 0.895436i \(-0.353136\pi\)
0.833264 + 0.552875i \(0.186469\pi\)
\(402\) −2.88738 −0.144009
\(403\) 1.12560 0.00844380i 0.0560699 0.000420616i
\(404\) 13.9088i 0.691988i
\(405\) 1.68471 0.451416i 0.0837138 0.0224310i
\(406\) 9.86468 + 2.93968i 0.489576 + 0.145894i
\(407\) 10.5763 6.10624i 0.524249 0.302675i
\(408\) 1.55662 1.55662i 0.0770644 0.0770644i
\(409\) 0.225314 0.840884i 0.0111411 0.0415790i −0.960132 0.279549i \(-0.909815\pi\)
0.971273 + 0.237970i \(0.0764819\pi\)
\(410\) −0.651902 + 2.43293i −0.0321951 + 0.120154i
\(411\) −0.0271456 + 0.0271456i −0.00133900 + 0.00133900i
\(412\) −10.1903 + 5.88337i −0.502040 + 0.289853i
\(413\) −23.3532 6.95929i −1.14914 0.342444i
\(414\) −3.08328 + 0.826162i −0.151535 + 0.0406037i
\(415\) 9.39332i 0.461100i
\(416\) −18.2084 + 10.6955i −0.892738 + 0.524391i
\(417\) 16.8316 0.824246
\(418\) −9.20009 + 2.46516i −0.449991 + 0.120575i
\(419\) −24.0763 13.9005i −1.17621 0.679083i −0.221072 0.975257i \(-0.570956\pi\)
−0.955134 + 0.296174i \(0.904289\pi\)
\(420\) −4.63874 4.90432i −0.226347 0.239306i
\(421\) 6.14872 6.14872i 0.299670 0.299670i −0.541214 0.840885i \(-0.682035\pi\)
0.840885 + 0.541214i \(0.182035\pi\)
\(422\) 8.07605 + 2.16397i 0.393136 + 0.105340i
\(423\) 5.04042 + 1.35058i 0.245074 + 0.0656673i
\(424\) 6.38579 + 6.38579i 0.310122 + 0.310122i
\(425\) −1.47085 + 0.849193i −0.0713465 + 0.0411919i
\(426\) −4.53294 + 7.85128i −0.219622 + 0.380396i
\(427\) −12.8501 + 6.94972i −0.621859 + 0.336321i
\(428\) 16.0657i 0.776567i
\(429\) 10.2665 6.03048i 0.495669 0.291154i
\(430\) 14.7502i 0.711317i
\(431\) −7.07164 26.3917i −0.340629 1.27124i −0.897636 0.440737i \(-0.854717\pi\)
0.557007 0.830507i \(-0.311949\pi\)
\(432\) −0.923019 0.532906i −0.0444088 0.0256394i
\(433\) 11.5716 + 20.0425i 0.556094 + 0.963182i 0.997818 + 0.0660314i \(0.0210338\pi\)
−0.441724 + 0.897151i \(0.645633\pi\)
\(434\) −0.317141 + 0.515624i −0.0152232 + 0.0247507i
\(435\) 8.94335 + 2.39636i 0.428801 + 0.114897i
\(436\) −1.14532 + 4.27440i −0.0548509 + 0.204706i
\(437\) 12.1205 12.1205i 0.579802 0.579802i
\(438\) 2.87771 + 4.98435i 0.137502 + 0.238161i
\(439\) 20.4076 35.3470i 0.974003 1.68702i 0.290814 0.956779i \(-0.406074\pi\)
0.683188 0.730242i \(-0.260593\pi\)
\(440\) −3.78324 14.1192i −0.180359 0.673109i
\(441\) 3.15743 + 6.24745i 0.150354 + 0.297498i
\(442\) 0.0171940 + 2.29203i 0.000817833 + 0.109021i
\(443\) −6.05837 −0.287842 −0.143921 0.989589i \(-0.545971\pi\)
−0.143921 + 0.989589i \(0.545971\pi\)
\(444\) 5.22568 1.40022i 0.248000 0.0664513i
\(445\) −11.0113 + 19.0721i −0.521986 + 0.904106i
\(446\) −2.66940 4.62353i −0.126400 0.218930i
\(447\) −10.1413 10.1413i −0.479668 0.479668i
\(448\) 0.159035 5.71463i 0.00751371 0.269991i
\(449\) −1.65796 + 6.18758i −0.0782438 + 0.292010i −0.993949 0.109840i \(-0.964966\pi\)
0.915705 + 0.401850i \(0.131633\pi\)
\(450\) −1.01467 1.01467i −0.0478322 0.0478322i
\(451\) −5.63532 + 3.25355i −0.265357 + 0.153204i
\(452\) 17.8386 + 10.2991i 0.839058 + 0.484430i
\(453\) 6.15004 + 22.9523i 0.288954 + 1.07839i
\(454\) 17.1918 0.806850
\(455\) 16.6346 + 0.338075i 0.779841 + 0.0158492i
\(456\) −9.98782 −0.467723
\(457\) −7.61312 28.4126i −0.356127 1.32908i −0.879061 0.476710i \(-0.841829\pi\)
0.522934 0.852373i \(-0.324837\pi\)
\(458\) −14.5707 8.41238i −0.680843 0.393085i
\(459\) −0.751205 + 0.433708i −0.0350632 + 0.0202438i
\(460\) 7.85801 + 7.85801i 0.366382 + 0.366382i
\(461\) −3.01129 + 11.2383i −0.140250 + 0.523419i 0.859671 + 0.510848i \(0.170668\pi\)
−0.999921 + 0.0125715i \(0.995998\pi\)
\(462\) −0.178129 + 6.40073i −0.00828731 + 0.297789i
\(463\) 8.42591 + 8.42591i 0.391585 + 0.391585i 0.875252 0.483667i \(-0.160695\pi\)
−0.483667 + 0.875252i \(0.660695\pi\)
\(464\) −2.82895 4.89989i −0.131331 0.227472i
\(465\) −0.272254 + 0.471557i −0.0126255 + 0.0218679i
\(466\) 11.6999 3.13497i 0.541985 0.145225i
\(467\) −21.2254 −0.982195 −0.491097 0.871105i \(-0.663404\pi\)
−0.491097 + 0.871105i \(0.663404\pi\)
\(468\) 5.08440 1.40332i 0.235027 0.0648687i
\(469\) −2.41670 10.1396i −0.111593 0.468204i
\(470\) 1.72637 + 6.44289i 0.0796314 + 0.297188i
\(471\) −7.70290 + 13.3418i −0.354931 + 0.614758i
\(472\) −11.6873 20.2430i −0.537952 0.931760i
\(473\) −26.9454 + 26.9454i −1.23895 + 1.23895i
\(474\) 2.98436 11.1378i 0.137076 0.511576i
\(475\) 7.44307 + 1.99436i 0.341511 + 0.0915077i
\(476\) 2.85967 + 1.75887i 0.131073 + 0.0806178i
\(477\) −1.77922 3.08169i −0.0814647 0.141101i
\(478\) −16.9052 9.76019i −0.773224 0.446421i
\(479\) −5.66017 21.1241i −0.258620 0.965183i −0.966041 0.258390i \(-0.916808\pi\)
0.707421 0.706793i \(-0.249859\pi\)
\(480\) 10.2152i 0.466258i
\(481\) −6.58018 + 11.5973i −0.300030 + 0.528789i
\(482\) 0.849093i 0.0386751i
\(483\) −5.48191 10.1361i −0.249436 0.461208i
\(484\) −0.0693828 + 0.120174i −0.00315376 + 0.00546248i
\(485\) −4.41608 + 2.54963i −0.200524 + 0.115773i
\(486\) −0.518224 0.518224i −0.0235071 0.0235071i
\(487\) 28.6992 + 7.68994i 1.30049 + 0.348464i 0.841634 0.540048i \(-0.181594\pi\)
0.458852 + 0.888512i \(0.348261\pi\)
\(488\) −13.5359 3.62693i −0.612741 0.164183i
\(489\) 0.931249 0.931249i 0.0421125 0.0421125i
\(490\) −4.89789 + 7.48813i −0.221264 + 0.338279i
\(491\) −23.9204 13.8105i −1.07951 0.623258i −0.148749 0.988875i \(-0.547525\pi\)
−0.930765 + 0.365617i \(0.880858\pi\)
\(492\) −2.78437 + 0.746069i −0.125529 + 0.0336354i
\(493\) −4.60472 −0.207386
\(494\) 7.29805 7.40837i 0.328355 0.333318i
\(495\) 5.75966i 0.258877i
\(496\) 0.321401 0.0861191i 0.0144313 0.00386686i
\(497\) −31.3654 9.34692i −1.40693 0.419267i
\(498\) 3.41823 1.97352i 0.153175 0.0884354i
\(499\) 5.32994 5.32994i 0.238601 0.238601i −0.577670 0.816271i \(-0.696038\pi\)
0.816271 + 0.577670i \(0.196038\pi\)
\(500\) −4.59485 + 17.1482i −0.205488 + 0.766891i
\(501\) −6.28848 + 23.4689i −0.280949 + 1.04851i
\(502\) 7.07498 7.07498i 0.315772 0.315772i
\(503\) 16.3880 9.46160i 0.730703 0.421872i −0.0879761 0.996123i \(-0.528040\pi\)
0.818679 + 0.574251i \(0.194707\pi\)
\(504\) −1.91762 + 6.43495i −0.0854176 + 0.286636i
\(505\) 16.0178 4.29196i 0.712784 0.190990i
\(506\) 10.5411i 0.468608i
\(507\) −6.33037 + 11.3546i −0.281141 + 0.504275i
\(508\) 8.37777 0.371703
\(509\) 19.9100 5.33488i 0.882497 0.236464i 0.211013 0.977483i \(-0.432324\pi\)
0.671484 + 0.741019i \(0.265657\pi\)
\(510\) −0.960223 0.554385i −0.0425194 0.0245486i
\(511\) −15.0949 + 14.2775i −0.667761 + 0.631600i
\(512\) −8.23930 + 8.23930i −0.364129 + 0.364129i
\(513\) 3.80140 + 1.01858i 0.167836 + 0.0449715i
\(514\) 0.181420 + 0.0486112i 0.00800208 + 0.00214415i
\(515\) 9.91999 + 9.91999i 0.437127 + 0.437127i
\(516\) −14.6192 + 8.44042i −0.643576 + 0.371569i
\(517\) −8.61606 + 14.9235i −0.378934 + 0.656333i
\(518\) −3.41128 6.30747i −0.149883 0.277134i
\(519\) 0.633864i 0.0278236i
\(520\) 11.3695 + 11.2002i 0.498587 + 0.491162i
\(521\) 8.90519i 0.390144i 0.980789 + 0.195072i \(0.0624940\pi\)
−0.980789 + 0.195072i \(0.937506\pi\)
\(522\) −1.00694 3.75796i −0.0440727 0.164482i
\(523\) 36.0214 + 20.7970i 1.57511 + 0.909387i 0.995528 + 0.0944702i \(0.0301157\pi\)
0.579577 + 0.814917i \(0.303218\pi\)
\(524\) 15.9388 + 27.6067i 0.696288 + 1.20601i
\(525\) 2.71397 4.41251i 0.118447 0.192578i
\(526\) −8.80150 2.35835i −0.383764 0.102829i
\(527\) 0.0700885 0.261574i 0.00305310 0.0113943i
\(528\) 2.48875 2.48875i 0.108309 0.108309i
\(529\) −2.01489 3.48989i −0.0876038 0.151734i
\(530\) 2.27427 3.93915i 0.0987881 0.171106i
\(531\) 2.38380 + 8.89645i 0.103448 + 0.386073i
\(532\) −3.53153 14.8170i −0.153111 0.642400i
\(533\) 3.50608 6.17930i 0.151865 0.267655i
\(534\) 9.25381 0.400452
\(535\) −18.5018 + 4.95755i −0.799904 + 0.214334i
\(536\) 4.99933 8.65909i 0.215938 0.374016i
\(537\) −7.32204 12.6821i −0.315969 0.547275i
\(538\) −14.3196 14.3196i −0.617360 0.617360i
\(539\) −22.6266 + 4.73180i −0.974596 + 0.203813i
\(540\) −0.660371 + 2.46454i −0.0284178 + 0.106057i
\(541\) 22.8055 + 22.8055i 0.980484 + 0.980484i 0.999813 0.0193293i \(-0.00615308\pi\)
−0.0193293 + 0.999813i \(0.506153\pi\)
\(542\) 19.2743 11.1280i 0.827903 0.477990i
\(543\) −5.55219 3.20556i −0.238267 0.137564i
\(544\) 1.31489 + 4.90724i 0.0563755 + 0.210396i
\(545\) 5.27596 0.225997
\(546\) −3.37187 6.12436i −0.144303 0.262099i
\(547\) 15.4775 0.661769 0.330884 0.943671i \(-0.392653\pi\)
0.330884 + 0.943671i \(0.392653\pi\)
\(548\) −0.0145352 0.0542462i −0.000620914 0.00231728i
\(549\) 4.78192 + 2.76084i 0.204087 + 0.117830i
\(550\) 4.10382 2.36934i 0.174987 0.101029i
\(551\) 14.7727 + 14.7727i 0.629339 + 0.629339i
\(552\) 2.86091 10.6770i 0.121768 0.454445i
\(553\) 41.6105 + 1.15800i 1.76946 + 0.0492432i
\(554\) −5.56016 5.56016i −0.236228 0.236228i
\(555\) −3.22507 5.58598i −0.136897 0.237112i
\(556\) −12.3113 + 21.3239i −0.522117 + 0.904333i
\(557\) −16.8975 + 4.52767i −0.715969 + 0.191843i −0.598373 0.801218i \(-0.704186\pi\)
−0.117597 + 0.993061i \(0.537519\pi\)
\(558\) 0.228800 0.00968587
\(559\) 10.4666 40.2679i 0.442692 1.70315i
\(560\) 4.78423 1.14029i 0.202171 0.0481859i
\(561\) −0.741378 2.76686i −0.0313010 0.116817i
\(562\) −9.13001 + 15.8136i −0.385126 + 0.667058i
\(563\) 13.0176 + 22.5472i 0.548628 + 0.950251i 0.998369 + 0.0570920i \(0.0181828\pi\)
−0.449741 + 0.893159i \(0.648484\pi\)
\(564\) −5.39783 + 5.39783i −0.227289 + 0.227289i
\(565\) 6.35619 23.7216i 0.267407 0.997977i
\(566\) 6.95905 + 1.86467i 0.292511 + 0.0783780i
\(567\) 1.38610 2.25360i 0.0582109 0.0946423i
\(568\) −15.6971 27.1881i −0.658634 1.14079i
\(569\) −5.70128 3.29163i −0.239010 0.137992i 0.375712 0.926737i \(-0.377398\pi\)
−0.614722 + 0.788744i \(0.710732\pi\)
\(570\) 1.30200 + 4.85911i 0.0545346 + 0.203526i
\(571\) 9.46828i 0.396235i 0.980178 + 0.198118i \(0.0634828\pi\)
−0.980178 + 0.198118i \(0.936517\pi\)
\(572\) 0.130660 + 17.4175i 0.00546315 + 0.728262i
\(573\) 4.75411i 0.198606i
\(574\) 1.81761 + 3.36077i 0.0758656 + 0.140276i
\(575\) −4.26398 + 7.38543i −0.177820 + 0.307994i
\(576\) −1.87128 + 1.08038i −0.0779698 + 0.0450159i
\(577\) 14.5583 + 14.5583i 0.606069 + 0.606069i 0.941916 0.335847i \(-0.109023\pi\)
−0.335847 + 0.941916i \(0.609023\pi\)
\(578\) −11.5018 3.08190i −0.478412 0.128190i
\(579\) 9.10651 + 2.44008i 0.378454 + 0.101406i
\(580\) −9.57750 + 9.57750i −0.397684 + 0.397684i
\(581\) 9.79144 + 10.3520i 0.406217 + 0.429474i
\(582\) 1.85562 + 1.07134i 0.0769180 + 0.0444086i
\(583\) 11.3506 3.04138i 0.470093 0.125961i
\(584\) −19.9304 −0.824725
\(585\) −3.18505 5.42233i −0.131686 0.224186i
\(586\) 18.9006i 0.780775i
\(587\) 28.3013 7.58332i 1.16812 0.312997i 0.377916 0.925840i \(-0.376641\pi\)
0.790205 + 0.612843i \(0.209974\pi\)
\(588\) −10.2244 0.569518i −0.421645 0.0234865i
\(589\) −1.06403 + 0.614317i −0.0438425 + 0.0253125i
\(590\) −8.32476 + 8.32476i −0.342725 + 0.342725i
\(591\) 2.90812 10.8532i 0.119624 0.446443i
\(592\) −1.02015 + 3.80726i −0.0419280 + 0.156477i
\(593\) 21.9121 21.9121i 0.899821 0.899821i −0.0955990 0.995420i \(-0.530477\pi\)
0.995420 + 0.0955990i \(0.0304766\pi\)
\(594\) 2.09594 1.21009i 0.0859975 0.0496507i
\(595\) 1.14314 3.83604i 0.0468643 0.157262i
\(596\) 20.2658 5.43021i 0.830120 0.222430i
\(597\) 12.5596i 0.514031i
\(598\) 5.82915 + 9.92371i 0.238372 + 0.405811i
\(599\) 15.8653 0.648240 0.324120 0.946016i \(-0.394932\pi\)
0.324120 + 0.946016i \(0.394932\pi\)
\(600\) 4.79981 1.28610i 0.195951 0.0525050i
\(601\) −0.177063 0.102227i −0.00722256 0.00416995i 0.496384 0.868103i \(-0.334661\pi\)
−0.503607 + 0.863933i \(0.667994\pi\)
\(602\) 15.3753 + 16.2556i 0.626652 + 0.662530i
\(603\) −2.78584 + 2.78584i −0.113448 + 0.113448i
\(604\) −33.5766 8.99681i −1.36621 0.366075i
\(605\) 0.159807 + 0.0428201i 0.00649707 + 0.00174089i
\(606\) −4.92716 4.92716i −0.200152 0.200152i
\(607\) 24.0567 13.8891i 0.976430 0.563742i 0.0752394 0.997165i \(-0.476028\pi\)
0.901190 + 0.433423i \(0.142695\pi\)
\(608\) 11.5249 19.9616i 0.467394 0.809551i
\(609\) 12.3541 6.68146i 0.500612 0.270746i
\(610\) 7.05806i 0.285773i
\(611\) −0.141136 18.8141i −0.00570976 0.761135i
\(612\) 1.26893i 0.0512935i
\(613\) 1.20950 + 4.51392i 0.0488513 + 0.182315i 0.986040 0.166506i \(-0.0532486\pi\)
−0.937189 + 0.348822i \(0.886582\pi\)
\(614\) 2.81335 + 1.62429i 0.113537 + 0.0655508i
\(615\) 1.71839 + 2.97635i 0.0692924 + 0.120018i
\(616\) −18.8870 11.6167i −0.760980 0.468050i
\(617\) 0.205999 + 0.0551971i 0.00829319 + 0.00222215i 0.262963 0.964806i \(-0.415300\pi\)
−0.254670 + 0.967028i \(0.581967\pi\)
\(618\) 1.52572 5.69406i 0.0613734 0.229049i
\(619\) −10.1547 + 10.1547i −0.408152 + 0.408152i −0.881094 0.472941i \(-0.843192\pi\)
0.472941 + 0.881094i \(0.343192\pi\)
\(620\) −0.398276 0.689835i −0.0159952 0.0277044i
\(621\) −2.17774 + 3.77196i −0.0873897 + 0.151363i
\(622\) −4.24211 15.8318i −0.170093 0.634797i
\(623\) 7.74533 + 32.4967i 0.310310 + 1.30195i
\(624\) −0.966727 + 3.71925i −0.0387000 + 0.148889i
\(625\) 11.3764 0.455056
\(626\) 3.77005 1.01018i 0.150682 0.0403750i
\(627\) −6.49808 + 11.2550i −0.259508 + 0.449482i
\(628\) −11.2685 19.5176i −0.449661 0.778836i
\(629\) 2.26830 + 2.26830i 0.0904431 + 0.0904431i
\(630\) 3.38061 + 0.0940806i 0.134687 + 0.00374826i
\(631\) −2.58932 + 9.66347i −0.103079 + 0.384697i −0.998120 0.0612871i \(-0.980479\pi\)
0.895041 + 0.445984i \(0.147146\pi\)
\(632\) 28.2344 + 28.2344i 1.12310 + 1.12310i
\(633\) 9.87991 5.70417i 0.392691 0.226720i
\(634\) −8.57487 4.95070i −0.340551 0.196617i
\(635\) −2.58520 9.64811i −0.102591 0.382873i
\(636\) 5.20558 0.206415
\(637\) 18.6847 16.9670i 0.740317 0.672258i
\(638\) 12.8477 0.508644
\(639\) 3.20164 + 11.9487i 0.126655 + 0.472683i
\(640\) 15.3013 + 8.83420i 0.604837 + 0.349203i
\(641\) −19.6180 + 11.3265i −0.774866 + 0.447369i −0.834608 0.550845i \(-0.814306\pi\)
0.0597418 + 0.998214i \(0.480972\pi\)
\(642\) 5.69125 + 5.69125i 0.224616 + 0.224616i
\(643\) −4.29092 + 16.0139i −0.169217 + 0.631527i 0.828247 + 0.560363i \(0.189338\pi\)
−0.997465 + 0.0711645i \(0.977328\pi\)
\(644\) 16.8511 + 0.468957i 0.664026 + 0.0184795i
\(645\) 14.2315 + 14.2315i 0.560363 + 0.560363i
\(646\) −1.25092 2.16666i −0.0492169 0.0852461i
\(647\) 12.5163 21.6789i 0.492068 0.852287i −0.507890 0.861422i \(-0.669574\pi\)
0.999958 + 0.00913503i \(0.00290781\pi\)
\(648\) 2.45140 0.656852i 0.0963003 0.0258036i
\(649\) −30.4151 −1.19390
\(650\) −2.55324 + 4.49996i −0.100146 + 0.176503i
\(651\) 0.191503 + 0.803478i 0.00750559 + 0.0314908i
\(652\) 0.498641 + 1.86095i 0.0195283 + 0.0728805i
\(653\) −9.18955 + 15.9168i −0.359615 + 0.622871i −0.987896 0.155115i \(-0.950425\pi\)
0.628282 + 0.777986i \(0.283759\pi\)
\(654\) −1.10847 1.91992i −0.0433445 0.0750749i
\(655\) 26.8745 26.8745i 1.05007 1.05007i
\(656\) 0.543561 2.02860i 0.0212225 0.0792034i
\(657\) 7.58557 + 2.03255i 0.295941 + 0.0792972i
\(658\) 8.61853 + 5.30093i 0.335985 + 0.206652i
\(659\) −2.47281 4.28303i −0.0963269 0.166843i 0.813835 0.581096i \(-0.197376\pi\)
−0.910162 + 0.414253i \(0.864043\pi\)
\(660\) −7.29689 4.21286i −0.284031 0.163985i
\(661\) −0.736202 2.74754i −0.0286349 0.106867i 0.950129 0.311856i \(-0.100951\pi\)
−0.978764 + 0.204989i \(0.934284\pi\)
\(662\) 7.02435i 0.273009i
\(663\) 2.22801 + 2.19484i 0.0865289 + 0.0852404i
\(664\) 13.6681i 0.530426i
\(665\) −15.9740 + 8.63925i −0.619446 + 0.335016i
\(666\) −1.35516 + 2.34721i −0.0525115 + 0.0909525i
\(667\) −20.0236 + 11.5606i −0.775318 + 0.447630i
\(668\) −25.1331 25.1331i −0.972427 0.972427i
\(669\) −7.03645 1.88541i −0.272045 0.0728942i
\(670\) −4.86439 1.30341i −0.187928 0.0503551i
\(671\) −12.8935 + 12.8935i −0.497750 + 0.497750i
\(672\) −10.6482 11.2578i −0.410761 0.434278i
\(673\) −23.4111 13.5164i −0.902431 0.521019i −0.0244432 0.999701i \(-0.507781\pi\)
−0.877988 + 0.478682i \(0.841115\pi\)
\(674\) 19.6245 5.25838i 0.755909 0.202545i
\(675\) −1.95798 −0.0753628
\(676\) −9.75478 16.3252i −0.375184 0.627891i
\(677\) 1.97396i 0.0758653i 0.999280 + 0.0379327i \(0.0120772\pi\)
−0.999280 + 0.0379327i \(0.987923\pi\)
\(678\) −9.96774 + 2.67085i −0.382809 + 0.102573i
\(679\) −2.20911 + 7.41310i −0.0847779 + 0.284489i
\(680\) 3.32514 1.91977i 0.127513 0.0736199i
\(681\) 16.5872 16.5872i 0.635622 0.635622i
\(682\) −0.195554 + 0.729819i −0.00748817 + 0.0279462i
\(683\) −0.854547 + 3.18921i −0.0326983 + 0.122032i −0.980346 0.197286i \(-0.936787\pi\)
0.947648 + 0.319318i \(0.103454\pi\)
\(684\) −4.07094 + 4.07094i −0.155656 + 0.155656i
\(685\) −0.0579865 + 0.0334785i −0.00221555 + 0.00127915i
\(686\) 2.40772 + 13.3579i 0.0919272 + 0.510006i
\(687\) −22.1748 + 5.94172i −0.846022 + 0.226691i
\(688\) 12.2988i 0.468889i
\(689\) −9.00395 + 9.14006i −0.343023 + 0.348208i
\(690\) −5.56737 −0.211946
\(691\) 43.3678 11.6204i 1.64979 0.442060i 0.690236 0.723585i \(-0.257507\pi\)
0.959554 + 0.281525i \(0.0908402\pi\)
\(692\) −0.803041 0.463636i −0.0305270 0.0176248i
\(693\) 6.00377 + 6.34750i 0.228064 + 0.241122i
\(694\) −12.0169 + 12.0169i −0.456154 + 0.456154i
\(695\) 28.3563 + 7.59804i 1.07562 + 0.288210i
\(696\) 13.0134 + 3.48693i 0.493272 + 0.132172i
\(697\) −1.20861 1.20861i −0.0457792 0.0457792i
\(698\) 10.3086 5.95170i 0.390188 0.225275i
\(699\) 8.26369 14.3131i 0.312561 0.541372i
\(700\) 3.60508 + 6.66582i 0.136259 + 0.251944i
\(701\) 23.5928i 0.891086i −0.895260 0.445543i \(-0.853011\pi\)
0.895260 0.445543i \(-0.146989\pi\)
\(702\) −1.30401 + 2.29826i −0.0492169 + 0.0867424i
\(703\) 14.5542i 0.548921i
\(704\) −1.84680 6.89234i −0.0696038 0.259765i
\(705\) 7.88197 + 4.55066i 0.296852 + 0.171388i
\(706\) −4.62435 8.00961i −0.174040 0.301446i
\(707\) 13.1788 21.4267i 0.495638 0.805835i
\(708\) −13.0145 3.48723i −0.489115 0.131058i
\(709\) 9.42663 35.1807i 0.354025 1.32124i −0.527683 0.849441i \(-0.676939\pi\)
0.881708 0.471796i \(-0.156394\pi\)
\(710\) −11.1809 + 11.1809i −0.419611 + 0.419611i
\(711\) −7.86670 13.6255i −0.295024 0.510997i
\(712\) −16.0224 + 27.7517i −0.600467 + 1.04004i
\(713\) −0.351929 1.31342i −0.0131799 0.0491879i
\(714\) −1.63611 + 0.389954i −0.0612298 + 0.0145937i
\(715\) 20.0182 5.52515i 0.748640 0.206629i
\(716\) 21.4226 0.800602
\(717\) −25.7276 + 6.89369i −0.960815 + 0.257450i
\(718\) −1.05610 + 1.82922i −0.0394134 + 0.0682660i
\(719\) −26.2044 45.3874i −0.977260 1.69266i −0.672266 0.740309i \(-0.734679\pi\)
−0.304994 0.952354i \(-0.598654\pi\)
\(720\) −1.31446 1.31446i −0.0489869 0.0489869i
\(721\) 21.2729 + 0.592014i 0.792244 + 0.0220477i
\(722\) 0.666143 2.48608i 0.0247913 0.0925223i
\(723\) −0.819232 0.819232i −0.0304676 0.0304676i
\(724\) 8.12223 4.68937i 0.301860 0.174279i
\(725\) −9.00151 5.19702i −0.334308 0.193013i
\(726\) −0.0179929 0.0671502i −0.000667777 0.00249218i
\(727\) −27.7907 −1.03070 −0.515350 0.856980i \(-0.672338\pi\)
−0.515350 + 0.856980i \(0.672338\pi\)
\(728\) 24.2048 + 0.491930i 0.897091 + 0.0182321i
\(729\) −1.00000 −0.0370370
\(730\) 2.59809 + 9.69621i 0.0961597 + 0.358873i
\(731\) −8.66846 5.00474i −0.320615 0.185107i
\(732\) −6.99541 + 4.03880i −0.258558 + 0.149278i
\(733\) 5.10977 + 5.10977i 0.188734 + 0.188734i 0.795149 0.606415i \(-0.207393\pi\)
−0.606415 + 0.795149i \(0.707393\pi\)
\(734\) −5.34406 + 19.9443i −0.197253 + 0.736158i
\(735\) 2.49915 + 11.9504i 0.0921824 + 0.440799i
\(736\) 18.0379 + 18.0379i 0.664887 + 0.664887i
\(737\) −6.50513 11.2672i −0.239620 0.415034i
\(738\) 0.722063 1.25065i 0.0265795 0.0460370i
\(739\) 0.0573095 0.0153560i 0.00210816 0.000564880i −0.257765 0.966208i \(-0.582986\pi\)
0.259873 + 0.965643i \(0.416319\pi\)
\(740\) 9.43582 0.346868
\(741\) −0.106442 14.1892i −0.00391026 0.521255i
\(742\) −1.59972 6.71186i −0.0587276 0.246400i
\(743\) 9.83505 + 36.7049i 0.360813 + 1.34657i 0.873009 + 0.487704i \(0.162165\pi\)
−0.512196 + 0.858868i \(0.671168\pi\)
\(744\) −0.396154 + 0.686159i −0.0145237 + 0.0251558i
\(745\) −12.5072 21.6631i −0.458228 0.793675i
\(746\) 13.4395 13.4395i 0.492056 0.492056i
\(747\) 1.39391 5.20214i 0.0510004 0.190336i
\(748\) 4.04760 + 1.08455i 0.147995 + 0.0396551i
\(749\) −15.2225 + 24.7495i −0.556218 + 0.904328i
\(750\) −4.44700 7.70243i −0.162381 0.281253i
\(751\) −9.18336 5.30202i −0.335106 0.193473i 0.323000 0.946399i \(-0.395309\pi\)
−0.658106 + 0.752926i \(0.728642\pi\)
\(752\) −1.43946 5.37214i −0.0524917 0.195902i
\(753\) 13.6523i 0.497519i
\(754\) −12.0952 + 7.10468i −0.440482 + 0.258737i
\(755\) 41.4441i 1.50831i
\(756\) 1.84122 + 3.40443i 0.0669646 + 0.123818i
\(757\) −7.44655 + 12.8978i −0.270649 + 0.468778i −0.969028 0.246950i \(-0.920572\pi\)
0.698379 + 0.715728i \(0.253905\pi\)
\(758\) −20.6285 + 11.9099i −0.749263 + 0.432587i
\(759\) −10.1704 10.1704i −0.369161 0.369161i
\(760\) −16.8266 4.50866i −0.610364 0.163546i
\(761\) −44.9797 12.0523i −1.63051 0.436895i −0.676448 0.736490i \(-0.736482\pi\)
−0.954066 + 0.299595i \(0.903148\pi\)
\(762\) −2.96781 + 2.96781i −0.107512 + 0.107512i
\(763\) 5.81443 5.49957i 0.210497 0.199098i
\(764\) 6.02297 + 3.47737i 0.217904 + 0.125807i
\(765\) −1.46134 + 0.391566i −0.0528350 + 0.0141571i
\(766\) 4.04688 0.146220
\(767\) 28.6337 16.8193i 1.03390 0.607311i
\(768\) 11.7457i 0.423837i
\(769\) −6.79488 + 1.82068i −0.245030 + 0.0656555i −0.379244 0.925297i \(-0.623816\pi\)
0.134214 + 0.990952i \(0.457149\pi\)
\(770\) −3.18949 + 10.7030i −0.114941 + 0.385708i
\(771\) 0.221941 0.128138i 0.00799302 0.00461477i
\(772\) −9.75223 + 9.75223i −0.350990 + 0.350990i
\(773\) 2.05344 7.66353i 0.0738570 0.275638i −0.919115 0.393990i \(-0.871094\pi\)