Properties

Label 273.2.by.d.76.4
Level $273$
Weight $2$
Character 273.76
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 76.4
Character \(\chi\) \(=\) 273.76
Dual form 273.2.by.d.97.4

$q$-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 \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).

\(n\) \(92\) \(106\) \(157\)
\(\chi(n)\) \(1\) \(e\left(\frac{7}{12}\right)\) \(-1\)

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 0.865874 + 0.500263i \(0.166763\pi\)
−1.00000 0.000303559i \(0.999903\pi\)
\(3\) −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 −0.926887 0.375342i \(-0.877525\pi\)
0.375342 + 0.926887i \(0.377525\pi\)
\(6\) −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 −0.256410 0.966568i \(-0.582540\pi\)
−0.705342 + 0.708867i \(0.749206\pi\)
\(12\) −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 −0.913816 0.406129i \(-0.866878\pi\)
0.808626 + 0.588323i \(0.200212\pi\)
\(18\) 0.518224 + 0.518224i 0.122147 + 0.122147i
\(19\) −1.01858 3.80140i −0.233679 0.872100i −0.978740 0.205105i \(-0.934247\pi\)
0.745061 0.666996i \(-0.232420\pi\)
\(20\) −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 −0.838732 0.544545i \(-0.816702\pi\)
0.0522240 + 0.998635i \(0.483369\pi\)
\(24\) 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 0.999966 0.00819474i \(-0.00260850\pi\)
−0.507080 + 0.861899i \(0.669275\pi\)
\(30\) 1.10699 + 0.639122i 0.202108 + 0.116687i
\(31\) 0.220754 0.220754i 0.0396485 0.0396485i −0.687005 0.726653i \(-0.741075\pi\)
0.726653 + 0.687005i \(0.241075\pi\)
\(32\) −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 −0.0470599 0.998892i \(-0.514985\pi\)
−0.540201 + 0.841536i \(0.681652\pi\)
\(38\) 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 0.404363 0.914599i \(-0.367493\pi\)
−0.107111 + 0.994247i \(0.534160\pi\)
\(42\) 0.553764 + 1.85826i 0.0854476 + 0.286736i
\(43\) 9.99342 + 5.76970i 1.52398 + 0.879872i 0.999597 + 0.0283909i \(0.00903832\pi\)
0.524386 + 0.851481i \(0.324295\pi\)
\(44\) −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 0.923006 0.384786i \(-0.125725\pi\)
−0.384786 + 0.923006i \(0.625725\pi\)
\(48\) −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 0.371965 0.928247i \(-0.378684\pi\)
0.786255 + 0.617903i \(0.212017\pi\)
\(60\) 1.80417 1.80417i 0.232917 0.232917i
\(61\) 4.78192 + 2.76084i 0.612262 + 0.353490i 0.773850 0.633369i \(-0.218328\pi\)
−0.161588 + 0.986858i \(0.551662\pi\)
\(62\) 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 −0.875250 0.483672i \(-0.839303\pi\)
0.999824 + 0.0187529i \(0.00596958\pi\)
\(68\) −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 0.533258 0.845952i \(-0.320967\pi\)
0.884791 + 0.465987i \(0.154301\pi\)
\(72\) 0.656852 + 2.45140i 0.0774107 + 0.288901i
\(73\) 5.55302 + 5.55302i 0.649932 + 0.649932i 0.952977 0.303044i \(-0.0980030\pi\)
−0.303044 + 0.952977i \(0.598003\pi\)
\(74\) 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 −0.884516 0.466509i \(-0.845512\pi\)
0.466509 + 0.884516i \(0.345512\pi\)
\(84\) 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 0.544549 + 0.838729i \(0.316701\pi\)
−0.890958 + 0.454086i \(0.849966\pi\)
\(90\) −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 0.993642 0.112584i \(-0.0359127\pi\)
−0.916811 + 0.399321i \(0.869246\pi\)
\(98\) −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 0.526494 0.850179i \(-0.323506\pi\)
−0.999523 + 0.0308679i \(0.990173\pi\)
\(102\) 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 0.999352 + 0.0359912i \(0.0114588\pi\)
−0.468507 + 0.883460i \(0.655208\pi\)
\(108\) −0.731443 + 1.26690i −0.0703832 + 0.121907i
\(109\) −2.13897 2.13897i −0.204876 0.204876i 0.597209 0.802086i \(-0.296276\pi\)
−0.802086 + 0.597209i \(0.796276\pi\)
\(110\) 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 −0.317718 0.948185i \(-0.602916\pi\)
0.980011 0.198941i \(-0.0637503\pi\)
\(114\) −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 −0.263543 0.964648i \(-0.584891\pi\)
0.703638 + 0.710559i \(0.251558\pi\)
\(128\) −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 \(-0.599089\pi\)
0.306294 0.951937i \(-0.400911\pi\)
\(132\) 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 0.966349 0.257235i \(-0.0828113\pi\)
−0.965500 + 0.260403i \(0.916145\pi\)
\(138\) 2.25712 + 2.25712i 0.192139 + 0.192139i
\(139\) −14.5766 8.41579i −1.23637 0.713818i −0.268018 0.963414i \(-0.586369\pi\)
−0.968350 + 0.249596i \(0.919702\pi\)
\(140\) 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 0.358005 0.933720i \(-0.383457\pi\)
0.776901 + 0.629622i \(0.216790\pi\)
\(150\) 1.38607 0.371397i 0.113172 0.0303244i
\(151\) −16.8022 + 16.8022i −1.36735 + 1.36735i −0.503142 + 0.864204i \(0.667823\pi\)
−0.864204 + 0.503142i \(0.832177\pi\)
\(152\) 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 \(0.210746\pi\)
−0.788715 + 0.614758i \(0.789254\pi\)
\(158\) 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 0.951291 0.308294i \(-0.0997581\pi\)
−0.977989 + 0.208655i \(0.933091\pi\)
\(164\) 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 0.0860480 + 0.996291i \(0.472576\pi\)
−0.572665 + 0.819789i \(0.694091\pi\)
\(168\) −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 −0.877822 0.478987i \(-0.841004\pi\)
0.853726 + 0.520722i \(0.174337\pi\)
\(174\) 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 0.0554778 0.998460i \(-0.482332\pi\)
0.892431 + 0.451185i \(0.148998\pi\)
\(180\) −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 −0.767120 0.641503i \(-0.778311\pi\)
0.939118 + 0.343594i \(0.111644\pi\)
\(192\) 1.08038 + 1.87128i 0.0779698 + 0.135048i
\(193\) −9.10651 2.44008i −0.655501 0.175641i −0.0842861 0.996442i \(-0.526861\pi\)
−0.571215 + 0.820801i \(0.693528\pi\)
\(194\) −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 −0.781574 0.623812i \(-0.785583\pi\)
0.988769 0.149450i \(-0.0477503\pi\)
\(198\) −1.21009 2.09594i −0.0859975 0.148952i
\(199\) −6.27981 + 10.8770i −0.445164 + 0.771047i −0.998064 0.0622009i \(-0.980188\pi\)
0.552899 + 0.833248i \(0.313521\pi\)
\(200\) −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 0.600112 0.799916i \(-0.295123\pi\)
−0.992804 + 0.119755i \(0.961789\pi\)
\(212\) −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 0.486600 0.873625i \(-0.338237\pi\)
−0.0154044 + 0.999881i \(0.504904\pi\)
\(224\) 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 −0.807772 0.589495i \(-0.799327\pi\)
0.404804 0.914404i \(-0.367340\pi\)
\(228\) 1.49007 + 5.56101i 0.0986822 + 0.368287i
\(229\) 16.2331 + 16.2331i 1.07271 + 1.07271i 0.997140 + 0.0755720i \(0.0240783\pi\)
0.0755720 + 0.997140i \(0.475922\pi\)
\(230\) 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 \(-0.817905\pi\)
0.840783 0.541372i \(-0.182095\pi\)
\(234\) −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 0.968239 + 0.250025i \(0.0804389\pi\)
0.250025 + 0.968239i \(0.419561\pi\)
\(240\) 1.79558 0.481124i 0.115904 0.0310564i
\(241\) 1.11909 0.299860i 0.0720871 0.0193157i −0.222595 0.974911i \(-0.571453\pi\)
0.294682 + 0.955595i \(0.404786\pi\)
\(242\) 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 −0.566084 0.824348i \(-0.691542\pi\)
0.996948 + 0.0780693i \(0.0248756\pi\)
\(252\) −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 0.862001 0.506906i \(-0.169211\pi\)
−0.869994 + 0.493062i \(0.835878\pi\)
\(258\) 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 0.991536 0.129833i \(-0.0414441\pi\)
−0.608206 + 0.793779i \(0.708111\pi\)
\(264\) −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 0.998964 0.0455067i \(-0.0144902\pi\)
0.460072 + 0.887882i \(0.347824\pi\)
\(270\) 1.10699 0.639122i 0.0673694 0.0388957i
\(271\) 7.85980 29.3332i 0.477449 1.78186i −0.134442 0.990921i \(-0.542924\pi\)
0.611891 0.790942i \(-0.290409\pi\)
\(272\) −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 0.752459 0.658639i \(-0.228868\pi\)
−0.194169 + 0.980968i \(0.562201\pi\)
\(278\) 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 −0.0523655 + 0.998628i \(0.516676\pi\)
−0.998628 + 0.0523655i \(0.983324\pi\)
\(282\) 1.91217 3.31197i 0.113868 0.197225i
\(283\) −4.91523 8.51342i −0.292180 0.506070i 0.682145 0.731217i \(-0.261047\pi\)
−0.974325 + 0.225147i \(0.927714\pi\)
\(284\) 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 −0.897863 0.440275i \(-0.854881\pi\)
−0.557435 + 0.830221i \(0.688214\pi\)
\(294\) −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 0.611984 0.790870i \(-0.290372\pi\)
−0.790870 + 0.611984i \(0.790372\pi\)
\(308\) 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 \(-0.951908\pi\)
0.988608 0.150511i \(-0.0480919\pi\)
\(314\) −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 0.922517 0.385956i \(-0.126128\pi\)
−0.385956 + 0.922517i \(0.626128\pi\)
\(318\) 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 0.00475394 0.999989i \(-0.498487\pi\)
0.504111 + 0.863639i \(0.331820\pi\)
\(332\) −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 \(-0.727611\pi\)
0.655663 0.755053i \(-0.272389\pi\)
\(338\) −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 0.366622 + 0.930370i \(0.380514\pi\)
−0.989035 + 0.147681i \(0.952819\pi\)
\(348\) −3.88290 6.72538i −0.208145 0.360518i
\(349\) 4.20372 15.6885i 0.225020 0.839787i −0.757376 0.652979i \(-0.773519\pi\)
0.982396 0.186808i \(-0.0598142\pi\)
\(350\) 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 0.568182 0.822903i \(-0.307647\pi\)
0.0806085 + 0.996746i \(0.474314\pi\)
\(354\) −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 −0.758838 0.651280i \(-0.774232\pi\)
0.651280 + 0.758838i \(0.274232\pi\)
\(360\) −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 −0.975667 0.219256i \(-0.929637\pi\)
−0.297953 + 0.954581i \(0.596304\pi\)
\(368\) −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 −0.306107 0.951997i \(-0.599026\pi\)
0.977507 0.210902i \(-0.0676402\pi\)
\(374\) 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 0.315821 + 0.948819i \(0.397720\pi\)
−0.747918 + 0.663791i \(0.768946\pi\)
\(380\) 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 0.919752 0.392501i \(-0.128390\pi\)
−0.992779 + 0.119960i \(0.961723\pi\)
\(384\) 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 \(-0.788511\pi\)
0.787279 0.616597i \(-0.211489\pi\)
\(390\) 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 −0.509158 0.860673i \(-0.670043\pi\)
−0.0106073 + 0.999944i \(0.503376\pi\)
\(398\) −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 0.833264 0.552875i \(-0.186469\pi\)
0.445190 + 0.895436i \(0.353136\pi\)
\(402\) −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 0.971273 0.237970i \(-0.0764819\pi\)
−0.960132 + 0.279549i \(0.909815\pi\)
\(410\) −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 −0.955134 0.296174i \(-0.904289\pi\)
−0.221072 + 0.975257i \(0.570956\pi\)
\(420\) −4.63874 + 4.90432i −0.226347 + 0.239306i
\(421\) 6.14872 + 6.14872i 0.299670 + 0.299670i 0.840885 0.541214i \(-0.182035\pi\)
−0.541214 + 0.840885i \(0.682035\pi\)
\(422\) 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 0.557007 + 0.830507i \(0.311949\pi\)
−0.897636 + 0.440737i \(0.854717\pi\)
\(432\) −0.923019 + 0.532906i −0.0444088 + 0.0256394i
\(433\) 11.5716 20.0425i 0.556094 0.963182i −0.441724 0.897151i \(-0.645633\pi\)
0.997818 0.0660314i \(-0.0210338\pi\)
\(434\) −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 0.683188 + 0.730242i \(0.260593\pi\)
0.290814 + 0.956779i \(0.406074\pi\)
\(440\) −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 0.915705 0.401850i \(-0.131633\pi\)
−0.993949 + 0.109840i \(0.964966\pi\)
\(450\) −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 0.522934 + 0.852373i \(0.324837\pi\)
−0.879061 + 0.476710i \(0.841829\pi\)
\(458\) −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 −0.999921 0.0125715i \(-0.995998\pi\)
0.859671 0.510848i \(-0.170668\pi\)
\(462\) −0.178129 6.40073i −0.00828731 0.297789i
\(463\) 8.42591 8.42591i 0.391585 0.391585i −0.483667 0.875252i \(-0.660695\pi\)
0.875252 + 0.483667i \(0.160695\pi\)
\(464\) −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 0.707421 + 0.706793i \(0.249859\pi\)
−0.966041 + 0.258390i \(0.916808\pi\)
\(480\) 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 0.458852 0.888512i \(-0.348261\pi\)
0.841634 + 0.540048i \(0.181594\pi\)
\(488\) −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 −0.930765 0.365617i \(-0.880858\pi\)
−0.148749 + 0.988875i \(0.547525\pi\)
\(492\) −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 0.816271 0.577670i \(-0.196038\pi\)
−0.577670 + 0.816271i \(0.696038\pi\)
\(500\) −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 0.818679 0.574251i \(-0.194707\pi\)
−0.0879761 + 0.996123i \(0.528040\pi\)
\(504\) −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 0.671484 0.741019i \(-0.265657\pi\)
0.211013 + 0.977483i \(0.432324\pi\)
\(510\) −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 \(-0.937506\pi\)
0.980789 0.195072i \(-0.0624940\pi\)
\(522\) −1.00694 + 3.75796i −0.0440727 + 0.164482i
\(523\) 36.0214 20.7970i 1.57511 0.909387i 0.579577 0.814917i \(-0.303218\pi\)
0.995528 0.0944702i \(-0.0301157\pi\)
\(524\) 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 −0.0193293 0.999813i \(-0.506153\pi\)
0.999813 + 0.0193293i \(0.00615308\pi\)
\(542\) 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 −0.117597 0.993061i \(-0.537519\pi\)
−0.598373 + 0.801218i \(0.704186\pi\)
\(558\) 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 −0.449741 0.893159i \(-0.648484\pi\)
0.998369 0.0570920i \(-0.0181828\pi\)
\(564\) −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 −0.614722 0.788744i \(-0.710732\pi\)
0.375712 + 0.926737i \(0.377398\pi\)
\(570\) 1.30200 4.85911i 0.0545346 0.203526i
\(571\) 9.46828i 0.396235i −0.980178 0.198118i \(-0.936517\pi\)
0.980178 0.198118i \(-0.0634828\pi\)
\(572\) 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 −0.335847 0.941916i \(-0.609023\pi\)
0.941916 + 0.335847i \(0.109023\pi\)
\(578\) −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 0.790205 0.612843i \(-0.209974\pi\)
0.377916 + 0.925840i \(0.376641\pi\)
\(588\) −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 0.995420 0.0955990i \(-0.0304766\pi\)
−0.0955990 + 0.995420i \(0.530477\pi\)
\(594\) 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 −0.503607 0.863933i \(-0.667994\pi\)
0.496384 + 0.868103i \(0.334661\pi\)
\(602\) 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 0.901190 0.433423i \(-0.142695\pi\)
0.0752394 + 0.997165i \(0.476028\pi\)
\(608\) 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 −0.937189 0.348822i \(-0.886582\pi\)
0.986040 + 0.166506i \(0.0532486\pi\)
\(614\) 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 −0.254670 0.967028i \(-0.581967\pi\)
0.262963 + 0.964806i \(0.415300\pi\)
\(618\) 1.52572 + 5.69406i 0.0613734 + 0.229049i
\(619\) −10.1547 10.1547i −0.408152 0.408152i 0.472941 0.881094i \(-0.343192\pi\)
−0.881094 + 0.472941i \(0.843192\pi\)
\(620\) −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 0.895041 0.445984i \(-0.147146\pi\)
−0.998120 + 0.0612871i \(0.980479\pi\)
\(632\) 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 0.0597418 0.998214i \(-0.480972\pi\)
−0.834608 + 0.550845i \(0.814306\pi\)
\(642\) 5.69125 5.69125i 0.224616 0.224616i
\(643\) −4.29092 16.0139i −0.169217 0.631527i −0.997465 0.0711645i \(-0.977328\pi\)
0.828247 0.560363i \(-0.189338\pi\)
\(644\) 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 0.999958 0.00913503i \(-0.00290781\pi\)
−0.507890 + 0.861422i \(0.669574\pi\)
\(648\) 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 0.628282 0.777986i \(-0.283759\pi\)
−0.987896 + 0.155115i \(0.950425\pi\)
\(654\) −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 −0.910162 0.414253i \(-0.864043\pi\)
0.813835 + 0.581096i \(0.197376\pi\)
\(660\) −7.29689 + 4.21286i −0.284031 + 0.163985i
\(661\) −0.736202 + 2.74754i −0.0286349 + 0.106867i −0.978764 0.204989i \(-0.934284\pi\)
0.950129 + 0.311856i \(0.100951\pi\)
\(662\) 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 −0.877988 0.478682i \(-0.841115\pi\)
−0.0244432 + 0.999701i \(0.507781\pi\)
\(674\) 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 \(-0.987923\pi\)
0.999280 0.0379327i \(-0.0120772\pi\)
\(678\) −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 0.947648 0.319318i \(-0.103454\pi\)
−0.980346 + 0.197286i \(0.936787\pi\)
\(684\) −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 0.959554 0.281525i \(-0.0908402\pi\)
0.690236 + 0.723585i \(0.257507\pi\)
\(692\) −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 \(0.146989\pi\)
−0.895260 + 0.445543i \(0.853011\pi\)
\(702\) −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 0.881708 + 0.471796i \(0.156394\pi\)
−0.527683 + 0.849441i \(0.676939\pi\)
\(710\) −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 −0.304994 + 0.952354i \(0.598654\pi\)
−0.672266 + 0.740309i \(0.734679\pi\)
\(720\) −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 −0.606415 0.795149i \(-0.707393\pi\)
0.795149 + 0.606415i \(0.207393\pi\)
\(734\) −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 0.259873 0.965643i \(-0.416319\pi\)
−0.257765 + 0.966208i \(0.582986\pi\)
\(740\) 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 −0.512196 0.858868i \(-0.671168\pi\)
0.873009 0.487704i \(-0.162165\pi\)
\(744\) −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 −0.658106 0.752926i \(-0.728642\pi\)
0.323000 + 0.946399i \(0.395309\pi\)
\(752\) −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 0.698379 0.715728i \(-0.253905\pi\)
−0.969028 + 0.246950i \(0.920572\pi\)
\(758\) −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 −0.954066 0.299595i \(-0.903148\pi\)
−0.676448 + 0.736490i \(0.736482\pi\)
\(762\) −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 0.134214 0.990952i \(-0.457149\pi\)
−0.379244 + 0.925297i \(0.623816\pi\)
\(770\) −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 0.992972 0.118352i