Properties

Label 273.2.cd.e.44.19
Level $273$
Weight $2$
Character 273.44
Analytic conductor $2.180$
Analytic rank $0$
Dimension $112$
CM no
Inner twists $8$

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Newspace parameters

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

Newform invariants

Self dual: no
Analytic conductor: \(2.17991597518\)
Analytic rank: \(0\)
Dimension: \(112\)
Relative dimension: \(28\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 44.19
Character \(\chi\) \(=\) 273.44
Dual form 273.2.cd.e.242.19

$q$-expansion

\(f(q)\) \(=\) \(q+(1.27346 - 0.341222i) q^{2} +(-0.898259 + 1.48092i) q^{3} +(-0.226792 + 0.130939i) q^{4} +(3.02659 - 0.810973i) q^{5} +(-0.638570 + 2.19240i) q^{6} +(-0.631669 + 2.56924i) q^{7} +(-2.10860 + 2.10860i) q^{8} +(-1.38626 - 2.66050i) q^{9} +O(q^{10})\) \(q+(1.27346 - 0.341222i) q^{2} +(-0.898259 + 1.48092i) q^{3} +(-0.226792 + 0.130939i) q^{4} +(3.02659 - 0.810973i) q^{5} +(-0.638570 + 2.19240i) q^{6} +(-0.631669 + 2.56924i) q^{7} +(-2.10860 + 2.10860i) q^{8} +(-1.38626 - 2.66050i) q^{9} +(3.57751 - 2.06548i) q^{10} +(5.55472 + 1.48838i) q^{11} +(0.00980824 - 0.453479i) q^{12} +(-3.53198 - 0.724662i) q^{13} +(0.0722771 + 3.48735i) q^{14} +(-1.51767 + 5.21061i) q^{15} +(-1.70383 + 2.95113i) q^{16} +(1.21796 + 2.10958i) q^{17} +(-2.67317 - 2.91501i) q^{18} +(0.330677 + 1.23410i) q^{19} +(-0.580220 + 0.580220i) q^{20} +(-3.23744 - 3.24330i) q^{21} +7.58155 q^{22} +(2.91091 - 5.04184i) q^{23} +(-1.22861 - 5.01674i) q^{24} +(4.17246 - 2.40897i) q^{25} +(-4.74509 + 0.282362i) q^{26} +(5.18522 + 0.336872i) q^{27} +(-0.193155 - 0.665394i) q^{28} -7.05212i q^{29} +(-0.154719 + 7.15335i) q^{30} +(-5.49852 - 1.47332i) q^{31} +(0.380834 - 1.42129i) q^{32} +(-7.19375 + 6.88915i) q^{33} +(2.27086 + 2.27086i) q^{34} +(0.171779 + 8.28831i) q^{35} +(0.662756 + 0.421866i) q^{36} +(3.73930 - 1.00194i) q^{37} +(0.842206 + 1.45874i) q^{38} +(4.24580 - 4.57965i) q^{39} +(-4.67186 + 8.09189i) q^{40} +(-3.64350 - 3.64350i) q^{41} +(-5.22942 - 3.02551i) q^{42} -3.28245i q^{43} +(-1.45465 + 0.389773i) q^{44} +(-6.35325 - 6.92804i) q^{45} +(1.98653 - 7.41382i) q^{46} +(-0.259833 - 0.969711i) q^{47} +(-2.83990 - 5.17412i) q^{48} +(-6.20199 - 3.24582i) q^{49} +(4.49145 - 4.49145i) q^{50} +(-4.21817 - 0.0912342i) q^{51} +(0.895912 - 0.298125i) q^{52} +(1.84206 - 1.06352i) q^{53} +(6.71810 - 1.34032i) q^{54} +18.0189 q^{55} +(-4.08556 - 6.74944i) q^{56} +(-2.12465 - 0.618837i) q^{57} +(-2.40634 - 8.98057i) q^{58} +(-5.87294 - 1.57365i) q^{59} +(-0.338073 - 1.38045i) q^{60} +(0.884899 - 1.53269i) q^{61} -7.50485 q^{62} +(7.71113 - 1.88108i) q^{63} -8.75523i q^{64} +(-11.2775 + 0.671083i) q^{65} +(-6.81020 + 11.2277i) q^{66} +(11.3478 + 3.04063i) q^{67} +(-0.552450 - 0.318957i) q^{68} +(4.85182 + 8.83970i) q^{69} +(3.04690 + 10.4962i) q^{70} +(-3.00598 - 3.00598i) q^{71} +(8.53301 + 2.68686i) q^{72} +(-1.23231 + 4.59905i) q^{73} +(4.41994 - 2.55186i) q^{74} +(-0.180449 + 8.34297i) q^{75} +(-0.236587 - 0.236587i) q^{76} +(-7.33275 + 13.3312i) q^{77} +(3.84416 - 7.28074i) q^{78} +(-1.91528 + 3.31736i) q^{79} +(-2.76353 + 10.3136i) q^{80} +(-5.15655 + 7.37631i) q^{81} +(-5.88307 - 3.39659i) q^{82} +(7.60088 + 7.60088i) q^{83} +(1.15890 + 0.311648i) q^{84} +(5.39709 + 5.39709i) q^{85} +(-1.12004 - 4.18006i) q^{86} +(10.4436 + 6.33463i) q^{87} +(-14.8511 + 8.57427i) q^{88} +(-0.620849 - 2.31704i) q^{89} +(-10.4546 - 6.65469i) q^{90} +(4.09287 - 8.61675i) q^{91} +1.52460i q^{92} +(7.12097 - 6.81945i) q^{93} +(-0.661773 - 1.14622i) q^{94} +(2.00165 + 3.46696i) q^{95} +(1.76273 + 1.84067i) q^{96} +(-9.02015 + 9.02015i) q^{97} +(-9.00550 - 2.01716i) q^{98} +(-3.74045 - 16.8416i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 112 q - 12 q^{3} - 8 q^{6} - 4 q^{7} + 8 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 112 q - 12 q^{3} - 8 q^{6} - 4 q^{7} + 8 q^{9} - 48 q^{13} - 12 q^{15} + 40 q^{16} - 26 q^{18} + 40 q^{19} - 10 q^{21} + 16 q^{22} + 32 q^{24} - 24 q^{27} - 52 q^{28} - 12 q^{31} - 44 q^{33} + 16 q^{34} - 8 q^{37} - 42 q^{39} - 160 q^{40} - 80 q^{42} + 6 q^{45} + 32 q^{46} + 72 q^{48} - 12 q^{52} + 34 q^{54} - 48 q^{55} - 24 q^{57} - 28 q^{58} + 44 q^{60} + 78 q^{63} + 4 q^{66} + 24 q^{67} - 12 q^{70} - 26 q^{72} - 40 q^{73} + 112 q^{76} + 32 q^{78} + 48 q^{79} + 128 q^{81} - 150 q^{84} + 160 q^{85} - 48 q^{87} + 24 q^{91} + 10 q^{93} - 8 q^{94} - 106 q^{96} + 56 q^{97} - 36 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

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

\(n\) \(92\) \(106\) \(157\)
\(\chi(n)\) \(-1\) \(e\left(\frac{3}{4}\right)\) \(e\left(\frac{1}{3}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.27346 0.341222i 0.900469 0.241280i 0.221252 0.975217i \(-0.428986\pi\)
0.679218 + 0.733937i \(0.262319\pi\)
\(3\) −0.898259 + 1.48092i −0.518610 + 0.855011i
\(4\) −0.226792 + 0.130939i −0.113396 + 0.0654693i
\(5\) 3.02659 0.810973i 1.35353 0.362678i 0.492096 0.870541i \(-0.336231\pi\)
0.861438 + 0.507863i \(0.169564\pi\)
\(6\) −0.638570 + 2.19240i −0.260695 + 0.895042i
\(7\) −0.631669 + 2.56924i −0.238749 + 0.971081i
\(8\) −2.10860 + 2.10860i −0.745503 + 0.745503i
\(9\) −1.38626 2.66050i −0.462088 0.886834i
\(10\) 3.57751 2.06548i 1.13131 0.653161i
\(11\) 5.55472 + 1.48838i 1.67481 + 0.448764i 0.966401 0.257039i \(-0.0827467\pi\)
0.708409 + 0.705803i \(0.249413\pi\)
\(12\) 0.00980824 0.453479i 0.00283139 0.130908i
\(13\) −3.53198 0.724662i −0.979594 0.200985i
\(14\) 0.0722771 + 3.48735i 0.0193169 + 0.932034i
\(15\) −1.51767 + 5.21061i −0.391862 + 1.34537i
\(16\) −1.70383 + 2.95113i −0.425958 + 0.737781i
\(17\) 1.21796 + 2.10958i 0.295400 + 0.511647i 0.975078 0.221863i \(-0.0712138\pi\)
−0.679678 + 0.733511i \(0.737880\pi\)
\(18\) −2.67317 2.91501i −0.630071 0.687075i
\(19\) 0.330677 + 1.23410i 0.0758626 + 0.283123i 0.993428 0.114463i \(-0.0365147\pi\)
−0.917565 + 0.397586i \(0.869848\pi\)
\(20\) −0.580220 + 0.580220i −0.129741 + 0.129741i
\(21\) −3.23744 3.24330i −0.706468 0.707745i
\(22\) 7.58155 1.61639
\(23\) 2.91091 5.04184i 0.606966 1.05130i −0.384772 0.923012i \(-0.625720\pi\)
0.991737 0.128284i \(-0.0409469\pi\)
\(24\) −1.22861 5.01674i −0.250788 1.02404i
\(25\) 4.17246 2.40897i 0.834492 0.481794i
\(26\) −4.74509 + 0.282362i −0.930588 + 0.0553757i
\(27\) 5.18522 + 0.336872i 0.997896 + 0.0648310i
\(28\) −0.193155 0.665394i −0.0365029 0.125748i
\(29\) 7.05212i 1.30955i −0.755826 0.654773i \(-0.772764\pi\)
0.755826 0.654773i \(-0.227236\pi\)
\(30\) −0.154719 + 7.15335i −0.0282477 + 1.30602i
\(31\) −5.49852 1.47332i −0.987563 0.264617i −0.271336 0.962485i \(-0.587466\pi\)
−0.716227 + 0.697868i \(0.754132\pi\)
\(32\) 0.380834 1.42129i 0.0673225 0.251251i
\(33\) −7.19375 + 6.88915i −1.25227 + 1.19925i
\(34\) 2.27086 + 2.27086i 0.389449 + 0.389449i
\(35\) 0.171779 + 8.28831i 0.0290360 + 1.40098i
\(36\) 0.662756 + 0.421866i 0.110459 + 0.0703111i
\(37\) 3.73930 1.00194i 0.614736 0.164718i 0.0620026 0.998076i \(-0.480251\pi\)
0.552734 + 0.833358i \(0.313585\pi\)
\(38\) 0.842206 + 1.45874i 0.136624 + 0.236639i
\(39\) 4.24580 4.57965i 0.679872 0.733331i
\(40\) −4.67186 + 8.09189i −0.738685 + 1.27944i
\(41\) −3.64350 3.64350i −0.569018 0.569018i 0.362835 0.931853i \(-0.381809\pi\)
−0.931853 + 0.362835i \(0.881809\pi\)
\(42\) −5.22942 3.02551i −0.806918 0.466846i
\(43\) 3.28245i 0.500569i −0.968172 0.250285i \(-0.919476\pi\)
0.968172 0.250285i \(-0.0805242\pi\)
\(44\) −1.45465 + 0.389773i −0.219297 + 0.0587605i
\(45\) −6.35325 6.92804i −0.947087 1.03277i
\(46\) 1.98653 7.41382i 0.292898 1.09311i
\(47\) −0.259833 0.969711i −0.0379006 0.141447i 0.944383 0.328848i \(-0.106660\pi\)
−0.982284 + 0.187401i \(0.939994\pi\)
\(48\) −2.83990 5.17412i −0.409905 0.746820i
\(49\) −6.20199 3.24582i −0.885998 0.463688i
\(50\) 4.49145 4.49145i 0.635187 0.635187i
\(51\) −4.21817 0.0912342i −0.590661 0.0127753i
\(52\) 0.895912 0.298125i 0.124241 0.0413424i
\(53\) 1.84206 1.06352i 0.253027 0.146085i −0.368123 0.929777i \(-0.619999\pi\)
0.621149 + 0.783692i \(0.286666\pi\)
\(54\) 6.71810 1.34032i 0.914218 0.182394i
\(55\) 18.0189 2.42967
\(56\) −4.08556 6.74944i −0.545956 0.901932i
\(57\) −2.12465 0.618837i −0.281416 0.0819670i
\(58\) −2.40634 8.98057i −0.315967 1.17921i
\(59\) −5.87294 1.57365i −0.764592 0.204872i −0.144611 0.989489i \(-0.546193\pi\)
−0.619981 + 0.784617i \(0.712860\pi\)
\(60\) −0.338073 1.38045i −0.0436451 0.178215i
\(61\) 0.884899 1.53269i 0.113300 0.196241i −0.803799 0.594901i \(-0.797191\pi\)
0.917099 + 0.398660i \(0.130525\pi\)
\(62\) −7.50485 −0.953117
\(63\) 7.71113 1.88108i 0.971511 0.236994i
\(64\) 8.75523i 1.09440i
\(65\) −11.2775 + 0.671083i −1.39881 + 0.0832376i
\(66\) −6.81020 + 11.2277i −0.838277 + 1.38203i
\(67\) 11.3478 + 3.04063i 1.38635 + 0.371473i 0.873425 0.486958i \(-0.161894\pi\)
0.512929 + 0.858431i \(0.328560\pi\)
\(68\) −0.552450 0.318957i −0.0669944 0.0386792i
\(69\) 4.85182 + 8.83970i 0.584091 + 1.06417i
\(70\) 3.04690 + 10.4962i 0.364175 + 1.25453i
\(71\) −3.00598 3.00598i −0.356745 0.356745i 0.505867 0.862612i \(-0.331173\pi\)
−0.862612 + 0.505867i \(0.831173\pi\)
\(72\) 8.53301 + 2.68686i 1.00563 + 0.316650i
\(73\) −1.23231 + 4.59905i −0.144231 + 0.538278i 0.855557 + 0.517708i \(0.173215\pi\)
−0.999788 + 0.0205696i \(0.993452\pi\)
\(74\) 4.41994 2.55186i 0.513808 0.296647i
\(75\) −0.180449 + 8.34297i −0.0208365 + 0.963363i
\(76\) −0.236587 0.236587i −0.0271384 0.0271384i
\(77\) −7.33275 + 13.3312i −0.835645 + 1.51923i
\(78\) 3.84416 7.28074i 0.435266 0.824382i
\(79\) −1.91528 + 3.31736i −0.215486 + 0.373233i −0.953423 0.301637i \(-0.902467\pi\)
0.737937 + 0.674870i \(0.235800\pi\)
\(80\) −2.76353 + 10.3136i −0.308972 + 1.15310i
\(81\) −5.15655 + 7.37631i −0.572950 + 0.819590i
\(82\) −5.88307 3.39659i −0.649676 0.375091i
\(83\) 7.60088 + 7.60088i 0.834305 + 0.834305i 0.988102 0.153797i \(-0.0491502\pi\)
−0.153797 + 0.988102i \(0.549150\pi\)
\(84\) 1.15890 + 0.311648i 0.126446 + 0.0340036i
\(85\) 5.39709 + 5.39709i 0.585397 + 0.585397i
\(86\) −1.12004 4.18006i −0.120777 0.450747i
\(87\) 10.4436 + 6.33463i 1.11968 + 0.679143i
\(88\) −14.8511 + 8.57427i −1.58313 + 0.914021i
\(89\) −0.620849 2.31704i −0.0658099 0.245606i 0.925183 0.379522i \(-0.123911\pi\)
−0.990993 + 0.133916i \(0.957245\pi\)
\(90\) −10.4546 6.65469i −1.10201 0.701465i
\(91\) 4.09287 8.61675i 0.429049 0.903281i
\(92\) 1.52460i 0.158951i
\(93\) 7.12097 6.81945i 0.738410 0.707144i
\(94\) −0.661773 1.14622i −0.0682566 0.118224i
\(95\) 2.00165 + 3.46696i 0.205365 + 0.355703i
\(96\) 1.76273 + 1.84067i 0.179908 + 0.187863i
\(97\) −9.02015 + 9.02015i −0.915858 + 0.915858i −0.996725 0.0808671i \(-0.974231\pi\)
0.0808671 + 0.996725i \(0.474231\pi\)
\(98\) −9.00550 2.01716i −0.909693 0.203764i
\(99\) −3.74045 16.8416i −0.375930 1.69265i
\(100\) −0.630855 + 1.09267i −0.0630855 + 0.109267i
\(101\) −0.202831 0.351314i −0.0201824 0.0349570i 0.855758 0.517377i \(-0.173091\pi\)
−0.875940 + 0.482420i \(0.839758\pi\)
\(102\) −5.40278 + 1.32315i −0.534955 + 0.131011i
\(103\) 0.332744 + 0.192110i 0.0327863 + 0.0189292i 0.516304 0.856406i \(-0.327308\pi\)
−0.483517 + 0.875335i \(0.660641\pi\)
\(104\) 8.97555 5.91951i 0.880125 0.580455i
\(105\) −12.4286 7.19065i −1.21291 0.701736i
\(106\) 1.98289 1.98289i 0.192595 0.192595i
\(107\) 2.87599 + 1.66046i 0.278033 + 0.160522i 0.632532 0.774534i \(-0.282015\pi\)
−0.354500 + 0.935056i \(0.615349\pi\)
\(108\) −1.22008 + 0.602546i −0.117402 + 0.0579800i
\(109\) 2.01327 + 0.539455i 0.192837 + 0.0516704i 0.353945 0.935266i \(-0.384840\pi\)
−0.161108 + 0.986937i \(0.551507\pi\)
\(110\) 22.9463 6.14844i 2.18784 0.586230i
\(111\) −1.87506 + 6.43761i −0.177973 + 0.611031i
\(112\) −6.50589 6.24169i −0.614749 0.589784i
\(113\) 6.64383i 0.624999i −0.949918 0.312499i \(-0.898834\pi\)
0.949918 0.312499i \(-0.101166\pi\)
\(114\) −2.91680 0.0630872i −0.273184 0.00590866i
\(115\) 4.72133 17.6203i 0.440267 1.64310i
\(116\) 0.923395 + 1.59937i 0.0857351 + 0.148497i
\(117\) 2.96828 + 10.4014i 0.274418 + 0.961611i
\(118\) −8.01590 −0.737923
\(119\) −6.18936 + 1.79669i −0.567378 + 0.164702i
\(120\) −7.78693 14.1873i −0.710846 1.29511i
\(121\) 19.1133 + 11.0351i 1.73757 + 1.00319i
\(122\) 0.603893 2.25376i 0.0546739 0.204046i
\(123\) 8.66854 2.12293i 0.781615 0.191418i
\(124\) 1.43994 0.385830i 0.129310 0.0346485i
\(125\) −0.403372 + 0.403372i −0.0360787 + 0.0360787i
\(126\) 9.17792 5.02668i 0.817634 0.447812i
\(127\) 18.6141i 1.65173i 0.563865 + 0.825867i \(0.309314\pi\)
−0.563865 + 0.825867i \(0.690686\pi\)
\(128\) −2.22581 8.30682i −0.196735 0.734226i
\(129\) 4.86106 + 2.94849i 0.427992 + 0.259600i
\(130\) −14.1325 + 4.70273i −1.23950 + 0.412457i
\(131\) 16.1135 + 9.30312i 1.40784 + 0.812817i 0.995180 0.0980674i \(-0.0312661\pi\)
0.412661 + 0.910885i \(0.364599\pi\)
\(132\) 0.729431 2.50435i 0.0634888 0.217975i
\(133\) −3.37959 + 0.0700436i −0.293047 + 0.00607355i
\(134\) 15.4885 1.33800
\(135\) 15.9667 3.18550i 1.37420 0.274164i
\(136\) −7.01645 1.88005i −0.601656 0.161213i
\(137\) 7.27234 + 1.94862i 0.621318 + 0.166482i 0.555727 0.831365i \(-0.312440\pi\)
0.0655912 + 0.997847i \(0.479107\pi\)
\(138\) 9.19488 + 9.60142i 0.782720 + 0.817328i
\(139\) −10.8017 −0.916186 −0.458093 0.888904i \(-0.651467\pi\)
−0.458093 + 0.888904i \(0.651467\pi\)
\(140\) −1.12422 1.85723i −0.0950138 0.156965i
\(141\) 1.66946 + 0.486258i 0.140594 + 0.0409503i
\(142\) −4.85370 2.80228i −0.407313 0.235162i
\(143\) −18.5406 9.28222i −1.55044 0.776218i
\(144\) 10.2134 + 0.442017i 0.851120 + 0.0368348i
\(145\) −5.71908 21.3439i −0.474944 1.77251i
\(146\) 6.27717i 0.519503i
\(147\) 10.3778 6.26908i 0.855946 0.517065i
\(148\) −0.716851 + 0.716851i −0.0589248 + 0.0589248i
\(149\) −11.7325 + 3.14373i −0.961168 + 0.257544i −0.705095 0.709113i \(-0.749095\pi\)
−0.256073 + 0.966657i \(0.582429\pi\)
\(150\) 2.61701 + 10.6860i 0.213678 + 0.872506i
\(151\) 1.09539 4.08807i 0.0891420 0.332682i −0.906924 0.421294i \(-0.861576\pi\)
0.996066 + 0.0886112i \(0.0282429\pi\)
\(152\) −3.29950 1.90497i −0.267625 0.154513i
\(153\) 3.92411 6.16482i 0.317246 0.498397i
\(154\) −4.78903 + 19.4788i −0.385911 + 1.56965i
\(155\) −17.8366 −1.43267
\(156\) −0.363261 + 1.59457i −0.0290842 + 0.127668i
\(157\) −10.1610 17.5994i −0.810936 1.40458i −0.912209 0.409724i \(-0.865625\pi\)
0.101273 0.994859i \(-0.467708\pi\)
\(158\) −1.30707 + 4.87805i −0.103985 + 0.388077i
\(159\) −0.0796649 + 3.68326i −0.00631784 + 0.292102i
\(160\) 4.61051i 0.364493i
\(161\) 11.1150 + 10.6636i 0.875982 + 0.840409i
\(162\) −4.04968 + 11.1529i −0.318173 + 0.876257i
\(163\) −22.8580 + 6.12479i −1.79038 + 0.479730i −0.992410 0.122970i \(-0.960758\pi\)
−0.797967 + 0.602701i \(0.794091\pi\)
\(164\) 1.30339 + 0.349243i 0.101778 + 0.0272713i
\(165\) −16.1856 + 26.6846i −1.26005 + 2.07739i
\(166\) 12.2730 + 7.08581i 0.952568 + 0.549965i
\(167\) 8.84266 8.84266i 0.684265 0.684265i −0.276693 0.960958i \(-0.589239\pi\)
0.960958 + 0.276693i \(0.0892385\pi\)
\(168\) 13.6653 + 0.0123398i 1.05430 + 0.000952038i
\(169\) 11.9497 + 5.11898i 0.919210 + 0.393768i
\(170\) 8.71456 + 5.03136i 0.668377 + 0.385887i
\(171\) 2.82493 2.59056i 0.216028 0.198105i
\(172\) 0.429800 + 0.744435i 0.0327719 + 0.0567626i
\(173\) −1.39333 + 2.41332i −0.105933 + 0.183482i −0.914119 0.405446i \(-0.867116\pi\)
0.808186 + 0.588927i \(0.200450\pi\)
\(174\) 15.4610 + 4.50327i 1.17210 + 0.341392i
\(175\) 3.55361 + 12.2417i 0.268628 + 0.925387i
\(176\) −13.8567 + 13.8567i −1.04449 + 1.04449i
\(177\) 7.60588 7.28383i 0.571693 0.547486i
\(178\) −1.58125 2.73880i −0.118520 0.205282i
\(179\) −9.48233 16.4239i −0.708742 1.22758i −0.965324 0.261055i \(-0.915930\pi\)
0.256582 0.966523i \(-0.417404\pi\)
\(180\) 2.34802 + 0.739340i 0.175011 + 0.0551072i
\(181\) 24.9776i 1.85657i −0.371870 0.928285i \(-0.621283\pi\)
0.371870 0.928285i \(-0.378717\pi\)
\(182\) 2.27187 12.3696i 0.168402 0.916898i
\(183\) 1.47493 + 2.68722i 0.109030 + 0.198645i
\(184\) 4.49328 + 16.7692i 0.331249 + 1.23624i
\(185\) 10.5048 6.06494i 0.772327 0.445903i
\(186\) 6.74130 11.1141i 0.494296 0.814926i
\(187\) 3.62559 + 13.5309i 0.265130 + 0.989477i
\(188\) 0.185901 + 0.185901i 0.0135582 + 0.0135582i
\(189\) −4.14085 + 13.1093i −0.301202 + 0.953560i
\(190\) 3.73202 + 3.73202i 0.270749 + 0.270749i
\(191\) −2.83282 1.63553i −0.204976 0.118343i 0.393998 0.919111i \(-0.371092\pi\)
−0.598974 + 0.800768i \(0.704425\pi\)
\(192\) 12.9658 + 7.86446i 0.935727 + 0.567569i
\(193\) −0.348600 + 1.30099i −0.0250928 + 0.0936475i −0.977337 0.211691i \(-0.932103\pi\)
0.952244 + 0.305339i \(0.0987696\pi\)
\(194\) −8.40890 + 14.5646i −0.603724 + 1.04568i
\(195\) 9.13633 17.3040i 0.654266 1.23916i
\(196\) 1.83157 0.0759528i 0.130826 0.00542520i
\(197\) 12.5263 + 12.5263i 0.892463 + 0.892463i 0.994754 0.102292i \(-0.0326175\pi\)
−0.102292 + 0.994754i \(0.532618\pi\)
\(198\) −10.5100 20.1707i −0.746915 1.43347i
\(199\) −10.3751 + 5.99005i −0.735469 + 0.424623i −0.820419 0.571762i \(-0.806260\pi\)
0.0849508 + 0.996385i \(0.472927\pi\)
\(200\) −3.71849 + 13.8776i −0.262937 + 0.981295i
\(201\) −14.6962 + 14.0739i −1.03659 + 0.992699i
\(202\) −0.378172 0.378172i −0.0266081 0.0266081i
\(203\) 18.1186 + 4.45461i 1.27168 + 0.312652i
\(204\) 0.968594 0.531630i 0.0678151 0.0372215i
\(205\) −13.9822 8.07260i −0.976556 0.563815i
\(206\) 0.489287 + 0.131104i 0.0340903 + 0.00913446i
\(207\) −17.4491 0.755163i −1.21280 0.0524874i
\(208\) 8.15647 9.18861i 0.565549 0.637115i
\(209\) 7.34727i 0.508221i
\(210\) −18.2809 4.91606i −1.26150 0.339240i
\(211\) −6.53372 −0.449800 −0.224900 0.974382i \(-0.572206\pi\)
−0.224900 + 0.974382i \(0.572206\pi\)
\(212\) −0.278510 + 0.482394i −0.0191282 + 0.0331310i
\(213\) 7.15178 1.75148i 0.490032 0.120009i
\(214\) 4.22903 + 1.13317i 0.289091 + 0.0774616i
\(215\) −2.66198 9.93465i −0.181546 0.677537i
\(216\) −11.6439 + 10.2232i −0.792266 + 0.695603i
\(217\) 7.25857 13.1964i 0.492744 0.895827i
\(218\) 2.74789 0.186111
\(219\) −5.70390 5.95609i −0.385434 0.402475i
\(220\) −4.08655 + 2.35937i −0.275515 + 0.159069i
\(221\) −2.77309 8.33359i −0.186538 0.560578i
\(222\) −0.191152 + 8.83782i −0.0128293 + 0.593156i
\(223\) −18.6239 + 18.6239i −1.24715 + 1.24715i −0.290172 + 0.956974i \(0.593713\pi\)
−0.956974 + 0.290172i \(0.906287\pi\)
\(224\) 3.41107 + 1.87624i 0.227912 + 0.125361i
\(225\) −12.1932 7.76137i −0.812880 0.517425i
\(226\) −2.26702 8.46062i −0.150800 0.562792i
\(227\) −3.02294 + 11.2818i −0.200639 + 0.748796i 0.790095 + 0.612984i \(0.210031\pi\)
−0.990735 + 0.135812i \(0.956636\pi\)
\(228\) 0.562883 0.137851i 0.0372779 0.00912938i
\(229\) 7.14495 1.91448i 0.472151 0.126513i −0.0148943 0.999889i \(-0.504741\pi\)
0.487046 + 0.873376i \(0.338075\pi\)
\(230\) 24.0496i 1.58579i
\(231\) −13.1558 22.8341i −0.865589 1.50238i
\(232\) 14.8701 + 14.8701i 0.976270 + 0.976270i
\(233\) 5.09771 8.82950i 0.333962 0.578440i −0.649323 0.760513i \(-0.724948\pi\)
0.983285 + 0.182073i \(0.0582808\pi\)
\(234\) 7.32916 + 12.2329i 0.479122 + 0.799689i
\(235\) −1.57282 2.72420i −0.102599 0.177707i
\(236\) 1.53799 0.412103i 0.100115 0.0268256i
\(237\) −3.19234 5.81623i −0.207365 0.377805i
\(238\) −7.26881 + 4.39995i −0.471167 + 0.285206i
\(239\) −11.2042 11.2042i −0.724743 0.724743i 0.244825 0.969567i \(-0.421270\pi\)
−0.969567 + 0.244825i \(0.921270\pi\)
\(240\) −12.7913 13.3569i −0.825675 0.862182i
\(241\) 3.73806 13.9506i 0.240789 0.898638i −0.734664 0.678431i \(-0.762660\pi\)
0.975453 0.220207i \(-0.0706732\pi\)
\(242\) 28.1054 + 7.53081i 1.80668 + 0.484099i
\(243\) −6.29183 14.2623i −0.403621 0.914926i
\(244\) 0.463470i 0.0296706i
\(245\) −21.4032 4.79413i −1.36740 0.306286i
\(246\) 10.3146 5.66135i 0.657635 0.360955i
\(247\) −0.273636 4.59846i −0.0174111 0.292593i
\(248\) 14.7008 8.48753i 0.933503 0.538958i
\(249\) −18.0839 + 4.42876i −1.14602 + 0.280661i
\(250\) −0.376037 + 0.651315i −0.0237827 + 0.0411928i
\(251\) −2.16053 −0.136372 −0.0681858 0.997673i \(-0.521721\pi\)
−0.0681858 + 0.997673i \(0.521721\pi\)
\(252\) −1.50252 + 1.43630i −0.0946498 + 0.0904784i
\(253\) 23.6734 23.6734i 1.48834 1.48834i
\(254\) 6.35153 + 23.7042i 0.398530 + 1.48734i
\(255\) −12.8407 + 3.14469i −0.804113 + 0.196928i
\(256\) 3.08630 + 5.34562i 0.192894 + 0.334101i
\(257\) −1.34808 + 2.33494i −0.0840909 + 0.145650i −0.905003 0.425404i \(-0.860132\pi\)
0.820913 + 0.571054i \(0.193465\pi\)
\(258\) 7.19643 + 2.09608i 0.448030 + 0.130496i
\(259\) 0.212230 + 10.2400i 0.0131873 + 0.636285i
\(260\) 2.46979 1.62886i 0.153170 0.101018i
\(261\) −18.7622 + 9.77609i −1.16135 + 0.605125i
\(262\) 23.6942 + 6.34885i 1.46383 + 0.392233i
\(263\) 4.91720 2.83895i 0.303208 0.175057i −0.340675 0.940181i \(-0.610656\pi\)
0.643883 + 0.765124i \(0.277322\pi\)
\(264\) 0.642274 29.6952i 0.0395292 1.82761i
\(265\) 4.71269 4.71269i 0.289498 0.289498i
\(266\) −4.27986 + 1.24239i −0.262415 + 0.0761756i
\(267\) 3.98904 + 1.16187i 0.244125 + 0.0711054i
\(268\) −2.97173 + 0.796273i −0.181527 + 0.0486401i
\(269\) −4.47639 + 2.58444i −0.272930 + 0.157576i −0.630218 0.776418i \(-0.717035\pi\)
0.357288 + 0.933994i \(0.383701\pi\)
\(270\) 19.2460 9.50479i 1.17127 0.578443i
\(271\) 10.1228 2.71239i 0.614915 0.164766i 0.0620999 0.998070i \(-0.480220\pi\)
0.552815 + 0.833304i \(0.313554\pi\)
\(272\) −8.30083 −0.503312
\(273\) 9.08428 + 13.8013i 0.549806 + 0.835292i
\(274\) 9.92592 0.599647
\(275\) 26.7623 7.17094i 1.61383 0.432424i
\(276\) −2.25781 1.36949i −0.135904 0.0824333i
\(277\) −12.0630 + 6.96458i −0.724795 + 0.418461i −0.816515 0.577324i \(-0.804097\pi\)
0.0917197 + 0.995785i \(0.470764\pi\)
\(278\) −13.7555 + 3.68576i −0.824997 + 0.221057i
\(279\) 3.70261 + 16.6712i 0.221669 + 0.998081i
\(280\) −17.8389 17.1145i −1.06608 1.02279i
\(281\) −20.9874 + 20.9874i −1.25200 + 1.25200i −0.297181 + 0.954821i \(0.596047\pi\)
−0.954821 + 0.297181i \(0.903953\pi\)
\(282\) 2.29191 + 0.0495715i 0.136481 + 0.00295194i
\(283\) −9.36305 + 5.40576i −0.556576 + 0.321339i −0.751770 0.659426i \(-0.770800\pi\)
0.195194 + 0.980765i \(0.437466\pi\)
\(284\) 1.07533 + 0.288135i 0.0638093 + 0.0170977i
\(285\) −6.93230 0.149938i −0.410634 0.00888155i
\(286\) −26.7779 5.49406i −1.58341 0.324871i
\(287\) 11.6625 7.05953i 0.688415 0.416711i
\(288\) −4.30928 + 0.957073i −0.253927 + 0.0563961i
\(289\) 5.53313 9.58365i 0.325478 0.563744i
\(290\) −14.5660 25.2290i −0.855345 1.48150i
\(291\) −5.25572 21.4606i −0.308096 1.25804i
\(292\) −0.322714 1.20439i −0.0188854 0.0704813i
\(293\) 16.2882 16.2882i 0.951567 0.951567i −0.0473130 0.998880i \(-0.515066\pi\)
0.998880 + 0.0473130i \(0.0150658\pi\)
\(294\) 11.0765 11.5245i 0.645996 0.672124i
\(295\) −19.0512 −1.10920
\(296\) −5.77199 + 9.99737i −0.335490 + 0.581085i
\(297\) 28.3010 + 9.58882i 1.64219 + 0.556400i
\(298\) −13.8682 + 8.00680i −0.803362 + 0.463821i
\(299\) −13.9349 + 15.6982i −0.805875 + 0.907852i
\(300\) −1.05149 1.91575i −0.0607079 0.110606i
\(301\) 8.43341 + 2.07342i 0.486093 + 0.119510i
\(302\) 5.57975i 0.321078i
\(303\) 0.702463 + 0.0151935i 0.0403555 + 0.000872843i
\(304\) −4.20541 1.12684i −0.241197 0.0646286i
\(305\) 1.43526 5.35646i 0.0821826 0.306710i
\(306\) 2.89362 9.18963i 0.165417 0.525336i
\(307\) 1.84180 + 1.84180i 0.105117 + 0.105117i 0.757709 0.652592i \(-0.226318\pi\)
−0.652592 + 0.757709i \(0.726318\pi\)
\(308\) −0.0825612 3.98356i −0.00470436 0.226985i
\(309\) −0.583390 + 0.320204i −0.0331879 + 0.0182158i
\(310\) −22.7141 + 6.08623i −1.29008 + 0.345675i
\(311\) −8.39672 14.5436i −0.476134 0.824689i 0.523492 0.852031i \(-0.324629\pi\)
−0.999626 + 0.0273417i \(0.991296\pi\)
\(312\) 0.703965 + 18.6093i 0.0398541 + 1.05355i
\(313\) 1.59315 2.75942i 0.0900502 0.155972i −0.817482 0.575954i \(-0.804631\pi\)
0.907532 + 0.419983i \(0.137964\pi\)
\(314\) −18.9449 18.9449i −1.06912 1.06912i
\(315\) 21.8129 11.9468i 1.22902 0.673126i
\(316\) 1.00314i 0.0564309i
\(317\) −16.7924 + 4.49951i −0.943156 + 0.252718i −0.697455 0.716628i \(-0.745685\pi\)
−0.245700 + 0.969346i \(0.579018\pi\)
\(318\) 1.15536 + 4.71766i 0.0647893 + 0.264553i
\(319\) 10.4962 39.1725i 0.587677 2.19324i
\(320\) −7.10026 26.4985i −0.396916 1.48131i
\(321\) −5.04239 + 2.76760i −0.281439 + 0.154473i
\(322\) 17.7931 + 9.78695i 0.991569 + 0.545405i
\(323\) −2.20068 + 2.20068i −0.122449 + 0.122449i
\(324\) 0.203622 2.34808i 0.0113123 0.130449i
\(325\) −16.4827 + 5.48481i −0.914297 + 0.304242i
\(326\) −27.0188 + 15.5993i −1.49643 + 0.863965i
\(327\) −2.60733 + 2.49693i −0.144186 + 0.138081i
\(328\) 15.3653 0.848410
\(329\) 2.65555 0.0550375i 0.146405 0.00303432i
\(330\) −11.5063 + 39.5045i −0.633403 + 2.17465i
\(331\) 8.03630 + 29.9919i 0.441715 + 1.64850i 0.724466 + 0.689310i \(0.242086\pi\)
−0.282751 + 0.959193i \(0.591247\pi\)
\(332\) −2.71907 0.728573i −0.149228 0.0399856i
\(333\) −7.84931 8.55945i −0.430140 0.469055i
\(334\) 8.24343 14.2780i 0.451060 0.781260i
\(335\) 36.8110 2.01120
\(336\) 15.0874 4.02807i 0.823087 0.219749i
\(337\) 8.75996i 0.477186i −0.971120 0.238593i \(-0.923314\pi\)
0.971120 0.238593i \(-0.0766861\pi\)
\(338\) 16.9642 + 2.44129i 0.922729 + 0.132789i
\(339\) 9.83899 + 5.96788i 0.534381 + 0.324131i
\(340\) −1.93071 0.517331i −0.104707 0.0280562i
\(341\) −28.3498 16.3678i −1.53523 0.886365i
\(342\) 2.71347 4.26289i 0.146728 0.230511i
\(343\) 12.2569 13.8841i 0.661810 0.749672i
\(344\) 6.92138 + 6.92138i 0.373176 + 0.373176i
\(345\) 21.8533 + 22.8195i 1.17654 + 1.22856i
\(346\) −0.950870 + 3.54870i −0.0511191 + 0.190779i
\(347\) −7.96790 + 4.60027i −0.427739 + 0.246955i −0.698383 0.715724i \(-0.746097\pi\)
0.270644 + 0.962680i \(0.412763\pi\)
\(348\) −3.19799 0.0691689i −0.171430 0.00370784i
\(349\) −1.33529 1.33529i −0.0714767 0.0714767i 0.670465 0.741941i \(-0.266095\pi\)
−0.741941 + 0.670465i \(0.766095\pi\)
\(350\) 8.70251 + 14.3767i 0.465169 + 0.768469i
\(351\) −18.0700 4.94736i −0.964503 0.264070i
\(352\) 4.23084 7.32804i 0.225505 0.390586i
\(353\) −4.48512 + 16.7387i −0.238719 + 0.890911i 0.737718 + 0.675109i \(0.235903\pi\)
−0.976437 + 0.215802i \(0.930763\pi\)
\(354\) 7.20035 11.8709i 0.382694 0.630933i
\(355\) −11.5357 6.66012i −0.612249 0.353482i
\(356\) 0.444194 + 0.444194i 0.0235422 + 0.0235422i
\(357\) 2.89889 10.7799i 0.153425 0.570530i
\(358\) −17.6795 17.6795i −0.934391 0.934391i
\(359\) 3.80874 + 14.2144i 0.201018 + 0.750208i 0.990627 + 0.136597i \(0.0436167\pi\)
−0.789609 + 0.613610i \(0.789717\pi\)
\(360\) 28.0049 + 1.21200i 1.47599 + 0.0638779i
\(361\) 15.0408 8.68382i 0.791622 0.457043i
\(362\) −8.52289 31.8079i −0.447953 1.67178i
\(363\) −33.5108 + 18.3930i −1.75886 + 0.965381i
\(364\) 0.200034 + 2.49013i 0.0104846 + 0.130518i
\(365\) 14.9188i 0.780886i
\(366\) 2.79519 + 2.91878i 0.146107 + 0.152567i
\(367\) 16.1097 + 27.9029i 0.840921 + 1.45652i 0.889117 + 0.457680i \(0.151320\pi\)
−0.0481955 + 0.998838i \(0.515347\pi\)
\(368\) 9.91940 + 17.1809i 0.517084 + 0.895616i
\(369\) −4.64269 + 14.7444i −0.241689 + 0.767561i
\(370\) 11.3079 11.3079i 0.587869 0.587869i
\(371\) 1.56885 + 5.40449i 0.0814507 + 0.280587i
\(372\) −0.722051 + 2.47901i −0.0374366 + 0.128531i
\(373\) −15.0494 + 26.0664i −0.779231 + 1.34967i 0.153155 + 0.988202i \(0.451057\pi\)
−0.932386 + 0.361465i \(0.882277\pi\)
\(374\) 9.23406 + 15.9939i 0.477482 + 0.827023i
\(375\) −0.235030 0.959694i −0.0121369 0.0495584i
\(376\) 2.59262 + 1.49685i 0.133704 + 0.0771941i
\(377\) −5.11040 + 24.9079i −0.263199 + 1.28282i
\(378\) −0.800019 + 18.1070i −0.0411485 + 0.931326i
\(379\) 15.5221 15.5221i 0.797315 0.797315i −0.185356 0.982671i \(-0.559344\pi\)
0.982671 + 0.185356i \(0.0593439\pi\)
\(380\) −0.907918 0.524187i −0.0465752 0.0268902i
\(381\) −27.5660 16.7203i −1.41225 0.856605i
\(382\) −4.16555 1.11616i −0.213128 0.0571076i
\(383\) 12.0246 3.22198i 0.614428 0.164635i 0.0618345 0.998086i \(-0.480305\pi\)
0.552593 + 0.833451i \(0.313638\pi\)
\(384\) 14.3011 + 4.16543i 0.729800 + 0.212566i
\(385\) −11.3820 + 46.2949i −0.580080 + 2.35941i
\(386\) 1.77571i 0.0903811i
\(387\) −8.73297 + 4.55034i −0.443922 + 0.231307i
\(388\) 0.864615 3.22679i 0.0438942 0.163815i
\(389\) −3.32527 5.75954i −0.168598 0.292021i 0.769329 0.638853i \(-0.220591\pi\)
−0.937927 + 0.346832i \(0.887257\pi\)
\(390\) 5.73022 25.1534i 0.290161 1.27369i
\(391\) 14.1815 0.717190
\(392\) 19.9216 6.23338i 1.00620 0.314833i
\(393\) −28.2513 + 15.5062i −1.42509 + 0.782184i
\(394\) 20.2260 + 11.6775i 1.01897 + 0.588302i
\(395\) −3.10648 + 11.5936i −0.156304 + 0.583335i
\(396\) 3.05353 + 3.32978i 0.153445 + 0.167328i
\(397\) 5.41778 1.45169i 0.271911 0.0728582i −0.120287 0.992739i \(-0.538382\pi\)
0.392198 + 0.919881i \(0.371715\pi\)
\(398\) −11.1683 + 11.1683i −0.559814 + 0.559814i
\(399\) 2.93202 5.06783i 0.146784 0.253709i
\(400\) 16.4179i 0.820897i
\(401\) −9.28470 34.6510i −0.463656 1.73039i −0.661307 0.750115i \(-0.729998\pi\)
0.197651 0.980272i \(-0.436669\pi\)
\(402\) −13.9126 + 22.9372i −0.693899 + 1.14400i
\(403\) 18.3530 + 9.18831i 0.914227 + 0.457702i
\(404\) 0.0920011 + 0.0531168i 0.00457722 + 0.00264266i
\(405\) −9.62479 + 26.5069i −0.478260 + 1.31714i
\(406\) 24.5932 0.509706i 1.22054 0.0252963i
\(407\) 22.2620 1.10349
\(408\) 9.08680 8.70205i 0.449864 0.430816i
\(409\) 9.02438 + 2.41808i 0.446227 + 0.119566i 0.474933 0.880022i \(-0.342472\pi\)
−0.0287065 + 0.999588i \(0.509139\pi\)
\(410\) −20.5602 5.50909i −1.01540 0.272075i
\(411\) −9.41820 + 9.01941i −0.464565 + 0.444895i
\(412\) −0.100618 −0.00495712
\(413\) 7.75284 14.0950i 0.381492 0.693568i
\(414\) −22.4783 + 4.99234i −1.10475 + 0.245360i
\(415\) 29.1689 + 16.8407i 1.43184 + 0.826676i
\(416\) −2.37505 + 4.74399i −0.116446 + 0.232593i
\(417\) 9.70269 15.9964i 0.475143 0.783349i
\(418\) 2.50705 + 9.35643i 0.122624 + 0.457638i
\(419\) 25.6590i 1.25352i 0.779210 + 0.626762i \(0.215620\pi\)
−0.779210 + 0.626762i \(0.784380\pi\)
\(420\) 3.76026 + 0.00339553i 0.183482 + 0.000165685i
\(421\) −7.93545 + 7.93545i −0.386750 + 0.386750i −0.873527 0.486776i \(-0.838173\pi\)
0.486776 + 0.873527i \(0.338173\pi\)
\(422\) −8.32040 + 2.22945i −0.405031 + 0.108528i
\(423\) −2.21972 + 2.03556i −0.107927 + 0.0989724i
\(424\) −1.64165 + 6.12670i −0.0797253 + 0.297539i
\(425\) 10.1638 + 5.86808i 0.493017 + 0.284644i
\(426\) 8.50984 4.67077i 0.412303 0.226300i
\(427\) 3.37888 + 3.24167i 0.163516 + 0.156875i
\(428\) −0.869671 −0.0420371
\(429\) 30.4005 19.1193i 1.46775 0.923088i
\(430\) −6.77983 11.7430i −0.326952 0.566298i
\(431\) 4.61709 17.2312i 0.222397 0.829999i −0.761033 0.648713i \(-0.775308\pi\)
0.983430 0.181286i \(-0.0580258\pi\)
\(432\) −9.82890 + 14.7283i −0.472893 + 0.708614i
\(433\) 15.4743i 0.743646i 0.928304 + 0.371823i \(0.121267\pi\)
−0.928304 + 0.371823i \(0.878733\pi\)
\(434\) 4.74058 19.2818i 0.227555 0.925554i
\(435\) 36.7459 + 10.7028i 1.76183 + 0.513161i
\(436\) −0.527231 + 0.141271i −0.0252498 + 0.00676566i
\(437\) 7.18472 + 1.92514i 0.343692 + 0.0920920i
\(438\) −9.29601 5.63853i −0.444181 0.269419i
\(439\) −15.8773 9.16674i −0.757780 0.437505i 0.0707180 0.997496i \(-0.477471\pi\)
−0.828498 + 0.559992i \(0.810804\pi\)
\(440\) −37.9947 + 37.9947i −1.81132 + 1.81132i
\(441\) −0.0379262 + 21.0000i −0.00180601 + 0.999998i
\(442\) −6.37501 9.66622i −0.303228 0.459775i
\(443\) 1.47962 + 0.854257i 0.0702987 + 0.0405870i 0.534737 0.845018i \(-0.320411\pi\)
−0.464439 + 0.885605i \(0.653744\pi\)
\(444\) −0.417683 1.70552i −0.0198224 0.0809403i
\(445\) −3.75812 6.50925i −0.178152 0.308568i
\(446\) −17.3618 + 30.0715i −0.822106 + 1.42393i
\(447\) 5.88325 20.1989i 0.278268 0.955374i
\(448\) 22.4943 + 5.53041i 1.06276 + 0.261287i
\(449\) 18.8634 18.8634i 0.890220 0.890220i −0.104324 0.994543i \(-0.533268\pi\)
0.994543 + 0.104324i \(0.0332678\pi\)
\(450\) −18.1759 5.72319i −0.856818 0.269794i
\(451\) −14.8157 25.6615i −0.697643 1.20835i
\(452\) 0.869934 + 1.50677i 0.0409182 + 0.0708725i
\(453\) 5.07017 + 5.29434i 0.238217 + 0.248750i
\(454\) 15.3983i 0.722678i
\(455\) 5.39950 29.3986i 0.253133 1.37823i
\(456\) 5.78491 3.17515i 0.270903 0.148690i
\(457\) −10.3686 38.6963i −0.485025 1.81014i −0.579950 0.814652i \(-0.696928\pi\)
0.0949253 0.995484i \(-0.469739\pi\)
\(458\) 8.44551 4.87602i 0.394633 0.227841i
\(459\) 5.60476 + 11.3489i 0.261608 + 0.529722i
\(460\) 1.23641 + 4.61434i 0.0576479 + 0.215145i
\(461\) 12.4061 + 12.4061i 0.577811 + 0.577811i 0.934300 0.356489i \(-0.116026\pi\)
−0.356489 + 0.934300i \(0.616026\pi\)
\(462\) −24.5449 24.5892i −1.14193 1.14399i
\(463\) 17.7000 + 17.7000i 0.822588 + 0.822588i 0.986479 0.163891i \(-0.0524044\pi\)
−0.163891 + 0.986479i \(0.552404\pi\)
\(464\) 20.8117 + 12.0156i 0.966158 + 0.557812i
\(465\) 16.0219 26.4146i 0.742997 1.22495i
\(466\) 3.47890 12.9834i 0.161157 0.601446i
\(467\) 10.8353 18.7673i 0.501399 0.868448i −0.498600 0.866832i \(-0.666152\pi\)
0.999999 0.00161598i \(-0.000514382\pi\)
\(468\) −2.03513 1.97030i −0.0940739 0.0910770i
\(469\) −14.9802 + 27.2345i −0.691720 + 1.25757i
\(470\) −2.93247 2.93247i −0.135265 0.135265i
\(471\) 35.1905 + 0.761132i 1.62149 + 0.0350711i
\(472\) 15.7019 9.06549i 0.722738 0.417273i
\(473\) 4.88554 18.2331i 0.224637 0.838358i
\(474\) −6.04993 6.31742i −0.277883 0.290169i
\(475\) 4.35266 + 4.35266i 0.199714 + 0.199714i
\(476\) 1.16844 1.21790i 0.0535555 0.0558224i
\(477\) −5.38307 3.42650i −0.246474 0.156889i
\(478\) −18.0913 10.4450i −0.827475 0.477743i
\(479\) 27.9284 + 7.48339i 1.27608 + 0.341925i 0.832357 0.554239i \(-0.186991\pi\)
0.443723 + 0.896164i \(0.353657\pi\)
\(480\) 6.82781 + 4.14143i 0.311645 + 0.189030i
\(481\) −13.9332 + 0.829109i −0.635298 + 0.0378041i
\(482\) 19.0410i 0.867294i
\(483\) −25.7761 + 6.88173i −1.17285 + 0.313130i
\(484\) −5.77967 −0.262712
\(485\) −19.9852 + 34.6154i −0.907482 + 1.57181i
\(486\) −12.8790 16.0155i −0.584202 0.726477i
\(487\) −8.81764 2.36268i −0.399565 0.107063i 0.0534399 0.998571i \(-0.482981\pi\)
−0.453005 + 0.891508i \(0.649648\pi\)
\(488\) 1.36593 + 5.09773i 0.0618328 + 0.230763i
\(489\) 11.4621 39.3526i 0.518333 1.77959i
\(490\) −28.8919 + 1.19811i −1.30520 + 0.0541251i
\(491\) −21.0075 −0.948057 −0.474029 0.880509i \(-0.657201\pi\)
−0.474029 + 0.880509i \(0.657201\pi\)
\(492\) −1.68798 + 1.61651i −0.0761002 + 0.0728779i
\(493\) 14.8770 8.58923i 0.670026 0.386840i
\(494\) −1.91756 5.76256i −0.0862750 0.259270i
\(495\) −24.9789 47.9393i −1.12272 2.15471i
\(496\) 13.7165 13.7165i 0.615890 0.615890i
\(497\) 9.62188 5.82431i 0.431600 0.261256i
\(498\) −21.5178 + 11.8104i −0.964237 + 0.529238i
\(499\) −1.63229 6.09180i −0.0730715 0.272707i 0.919718 0.392581i \(-0.128418\pi\)
−0.992789 + 0.119874i \(0.961751\pi\)
\(500\) 0.0386647 0.144299i 0.00172914 0.00645323i
\(501\) 5.15230 + 21.0383i 0.230188 + 0.939921i
\(502\) −2.75134 + 0.737220i −0.122798 + 0.0329037i
\(503\) 0.987759i 0.0440420i −0.999758 0.0220210i \(-0.992990\pi\)
0.999758 0.0220210i \(-0.00701007\pi\)
\(504\) −12.2932 + 20.2261i −0.547584 + 0.900944i
\(505\) −0.898793 0.898793i −0.0399958 0.0399958i
\(506\) 22.0692 38.2250i 0.981095 1.69931i
\(507\) −18.3148 + 13.0985i −0.813387 + 0.581723i
\(508\) −2.43730 4.22153i −0.108138 0.187300i
\(509\) −21.8123 + 5.84459i −0.966814 + 0.259057i −0.707482 0.706731i \(-0.750169\pi\)
−0.259332 + 0.965788i \(0.583502\pi\)
\(510\) −15.2790 + 8.38613i −0.676565 + 0.371344i
\(511\) −11.0376 6.07118i −0.488276 0.268573i
\(512\) 17.9163 + 17.9163i 0.791798 + 0.791798i
\(513\) 1.29890 + 6.51050i 0.0573478 + 0.287446i
\(514\) −0.919988 + 3.43344i −0.0405789 + 0.151443i
\(515\) 1.16288 + 0.311592i 0.0512425 + 0.0137304i
\(516\) −1.48852 0.0321951i −0.0655285 0.00141731i
\(517\) 5.77320i 0.253905i
\(518\) 3.76439 + 12.9678i 0.165398 + 0.569774i
\(519\) −2.32237 4.23121i −0.101941 0.185729i
\(520\) 22.3648 25.1949i 0.980760 1.10487i
\(521\) 24.6275 14.2187i 1.07895 0.622932i 0.148338 0.988937i \(-0.452608\pi\)
0.930613 + 0.366004i \(0.119274\pi\)
\(522\) −20.5570 + 18.8515i −0.899756 + 0.825107i
\(523\) −14.1297 + 24.4734i −0.617850 + 1.07015i 0.372028 + 0.928222i \(0.378663\pi\)
−0.989877 + 0.141925i \(0.954671\pi\)
\(524\) −4.87255 −0.212858
\(525\) −21.3211 5.73361i −0.930529 0.250235i
\(526\) 5.29313 5.29313i 0.230791 0.230791i
\(527\) −3.58891 13.3940i −0.156335 0.583452i
\(528\) −8.07380 32.9676i −0.351367 1.43473i
\(529\) −5.44675 9.43405i −0.236815 0.410176i
\(530\) 4.39333 7.60948i 0.190834 0.330535i
\(531\) 3.95474 + 17.8065i 0.171621 + 0.772735i
\(532\) 0.757293 0.458404i 0.0328328 0.0198743i
\(533\) 10.2284 + 15.5090i 0.443043 + 0.671771i
\(534\) 5.47632 + 0.118447i 0.236984 + 0.00512569i
\(535\) 10.0510 + 2.69317i 0.434544 + 0.116436i
\(536\) −30.3395 + 17.5165i −1.31046 + 0.756597i
\(537\) 32.8401 + 0.710294i 1.41715 + 0.0306514i
\(538\) −4.81862 + 4.81862i −0.207745 + 0.207745i
\(539\) −29.6193 27.2605i −1.27579 1.17419i
\(540\) −3.20403 + 2.81311i −0.137880 + 0.121057i
\(541\) 10.8887 2.91762i 0.468142 0.125438i −0.0170339 0.999855i \(-0.505422\pi\)
0.485176 + 0.874417i \(0.338756\pi\)
\(542\) 11.9654 6.90822i 0.513957 0.296733i
\(543\) 36.9899 + 22.4363i 1.58739 + 0.962835i
\(544\) 3.46216 0.927683i 0.148439 0.0397741i
\(545\) 6.53085 0.279751
\(546\) 16.2777 + 14.4756i 0.696623 + 0.619498i
\(547\) −16.6244 −0.710807 −0.355404 0.934713i \(-0.615657\pi\)
−0.355404 + 0.934713i \(0.615657\pi\)
\(548\) −1.90446 + 0.510299i −0.0813546 + 0.0217989i
\(549\) −5.30443 0.229565i −0.226387 0.00979760i
\(550\) 31.6337 18.2637i 1.34887 0.778769i
\(551\) 8.70305 2.33198i 0.370762 0.0993455i
\(552\) −28.8700 8.40884i −1.22879 0.357904i
\(553\) −7.31328 7.01629i −0.310992 0.298363i
\(554\) −12.9852 + 12.9852i −0.551690 + 0.551690i
\(555\) −0.454307 + 21.0046i −0.0192843 + 0.891597i
\(556\) 2.44974 1.41436i 0.103892 0.0599821i
\(557\) 3.43301 + 0.919872i 0.145461 + 0.0389762i 0.330815 0.943696i \(-0.392676\pi\)
−0.185354 + 0.982672i \(0.559343\pi\)
\(558\) 10.4037 + 19.9667i 0.440424 + 0.845257i
\(559\) −2.37867 + 11.5935i −0.100607 + 0.490355i
\(560\) −24.7525 13.6150i −1.04599 0.575337i
\(561\) −23.2949 6.78502i −0.983512 0.286464i
\(562\) −19.5652 + 33.8879i −0.825307 + 1.42947i
\(563\) 11.5278 + 19.9667i 0.485838 + 0.841496i 0.999868 0.0162762i \(-0.00518109\pi\)
−0.514029 + 0.857773i \(0.671848\pi\)
\(564\) −0.442292 + 0.108318i −0.0186238 + 0.00456100i
\(565\) −5.38797 20.1082i −0.226673 0.845957i
\(566\) −10.0789 + 10.0789i −0.423647 + 0.423647i
\(567\) −15.6943 17.9078i −0.659098 0.752057i
\(568\) 12.6768 0.531908
\(569\) −5.98244 + 10.3619i −0.250797 + 0.434393i −0.963745 0.266823i \(-0.914026\pi\)
0.712948 + 0.701216i \(0.247359\pi\)
\(570\) −8.87914 + 2.17451i −0.371906 + 0.0910802i
\(571\) −19.9296 + 11.5064i −0.834029 + 0.481527i −0.855230 0.518249i \(-0.826584\pi\)
0.0212015 + 0.999775i \(0.493251\pi\)
\(572\) 5.42026 0.322539i 0.226632 0.0134860i
\(573\) 4.96670 2.72606i 0.207487 0.113883i
\(574\) 12.4428 12.9695i 0.519353 0.541336i
\(575\) 28.0492i 1.16973i
\(576\) −23.2933 + 12.1371i −0.970555 + 0.505710i
\(577\) 37.4825 + 10.0434i 1.56042 + 0.418113i 0.932796 0.360405i \(-0.117362\pi\)
0.627622 + 0.778518i \(0.284028\pi\)
\(578\) 3.77604 14.0924i 0.157063 0.586166i
\(579\) −1.61354 1.68488i −0.0670563 0.0700211i
\(580\) 4.09178 + 4.09178i 0.169902 + 0.169902i
\(581\) −24.3297 + 14.7272i −1.00937 + 0.610989i
\(582\) −14.0157 25.5357i −0.580971 1.05849i
\(583\) 11.8151 3.16583i 0.489329 0.131115i
\(584\) −7.09910 12.2960i −0.293763 0.508812i
\(585\) 17.4191 + 29.0736i 0.720189 + 1.20205i
\(586\) 15.1844 26.3002i 0.627263 1.08645i
\(587\) −24.9628 24.9628i −1.03032 1.03032i −0.999526 0.0307993i \(-0.990195\pi\)
−0.0307993 0.999526i \(-0.509805\pi\)
\(588\) −1.53274 + 2.78063i −0.0632091 + 0.114671i
\(589\) 7.27294i 0.299676i
\(590\) −24.2609 + 6.50068i −0.998804 + 0.267629i
\(591\) −29.8024 + 7.29863i −1.22591 + 0.300225i
\(592\) −3.41428 + 12.7423i −0.140326 + 0.523704i
\(593\) 0.550271 + 2.05364i 0.0225969 + 0.0843329i 0.976303 0.216406i \(-0.0694334\pi\)
−0.953707 + 0.300739i \(0.902767\pi\)
\(594\) 39.3120 + 2.55401i 1.61299 + 0.104792i
\(595\) −17.2756 + 10.4572i −0.708231 + 0.428705i
\(596\) 2.24922 2.24922i 0.0921315 0.0921315i
\(597\) 0.448697 20.7453i 0.0183640 0.849048i
\(598\) −12.3889 + 24.7459i −0.506619 + 1.01193i
\(599\) −38.5567 + 22.2607i −1.57538 + 0.909547i −0.579891 + 0.814694i \(0.696905\pi\)
−0.995491 + 0.0948531i \(0.969762\pi\)
\(600\) −17.2115 17.9725i −0.702656 0.733723i
\(601\) 7.08515 0.289009 0.144505 0.989504i \(-0.453841\pi\)
0.144505 + 0.989504i \(0.453841\pi\)
\(602\) 11.4471 0.237246i 0.466548 0.00966942i
\(603\) −7.64142 34.4060i −0.311183 1.40112i
\(604\) 0.286859 + 1.07057i 0.0116721 + 0.0435610i
\(605\) 66.7973 + 17.8983i 2.71570 + 0.727669i
\(606\) 0.899740 0.220347i 0.0365495 0.00895100i
\(607\) 8.98656 15.5652i 0.364753 0.631771i −0.623983 0.781438i \(-0.714487\pi\)
0.988737 + 0.149667i \(0.0478200\pi\)
\(608\) 1.87995 0.0762422
\(609\) −22.8721 + 22.8308i −0.926825 + 0.925152i
\(610\) 7.31095i 0.296012i
\(611\) 0.215013 + 3.61329i 0.00869849 + 0.146178i
\(612\) −0.0827455 + 1.91195i −0.00334479 + 0.0772861i
\(613\) −11.5752 3.10158i −0.467520 0.125272i 0.0173657 0.999849i \(-0.494472\pi\)
−0.484885 + 0.874578i \(0.661139\pi\)
\(614\) 2.97392 + 1.71699i 0.120018 + 0.0692922i
\(615\) 24.5145 13.4552i 0.988519 0.542566i
\(616\) −12.6484 43.5721i −0.509618 1.75557i
\(617\) 3.48852 + 3.48852i 0.140443 + 0.140443i 0.773833 0.633390i \(-0.218337\pi\)
−0.633390 + 0.773833i \(0.718337\pi\)
\(618\) −0.633662 + 0.606831i −0.0254896 + 0.0244103i
\(619\) 3.14825 11.7494i 0.126539 0.472250i −0.873351 0.487092i \(-0.838058\pi\)
0.999890 + 0.0148416i \(0.00472439\pi\)
\(620\) 4.04520 2.33550i 0.162459 0.0937959i
\(621\) 16.7921 25.1624i 0.673846 1.00973i
\(622\) −15.6554 15.6554i −0.627726 0.627726i
\(623\) 6.34520 0.131507i 0.254215 0.00526873i
\(624\) 6.28099 + 20.3328i 0.251441 + 0.813965i
\(625\) −12.9386 + 22.4103i −0.517543 + 0.896411i
\(626\) 1.08723 4.05761i 0.0434546 0.162175i
\(627\) −10.8807 6.59975i −0.434535 0.263569i
\(628\) 4.60888 + 2.66094i 0.183914 + 0.106183i
\(629\) 6.66800 + 6.66800i 0.265871 + 0.265871i
\(630\) 23.7013 22.6568i 0.944283 0.902667i
\(631\) 18.1961 + 18.1961i 0.724374 + 0.724374i 0.969493 0.245119i \(-0.0788270\pi\)
−0.245119 + 0.969493i \(0.578827\pi\)
\(632\) −2.95643 11.0336i −0.117601 0.438891i
\(633\) 5.86897 9.67593i 0.233271 0.384584i
\(634\) −19.8491 + 11.4599i −0.788307 + 0.455129i
\(635\) 15.0955 + 56.3373i 0.599048 + 2.23568i
\(636\) −0.464214 0.845767i −0.0184073 0.0335369i
\(637\) 19.5532 + 15.9585i 0.774724 + 0.632299i
\(638\) 53.4660i 2.11674i
\(639\) −3.83035 + 12.1645i −0.151526 + 0.481221i
\(640\) −13.4732 23.3363i −0.532576 0.922448i
\(641\) −5.90485 10.2275i −0.233228 0.403962i 0.725528 0.688192i \(-0.241595\pi\)
−0.958756 + 0.284230i \(0.908262\pi\)
\(642\) −5.47690 + 5.24499i −0.216156 + 0.207003i
\(643\) −2.95818 + 2.95818i −0.116659 + 0.116659i −0.763026 0.646367i \(-0.776287\pi\)
0.646367 + 0.763026i \(0.276287\pi\)
\(644\) −3.91706 0.963043i −0.154354 0.0379492i
\(645\) 17.1036 + 4.98169i 0.673453 + 0.196154i
\(646\) −2.05155 + 3.55339i −0.0807173 + 0.139806i
\(647\) −16.1554 27.9819i −0.635133 1.10008i −0.986487 0.163840i \(-0.947612\pi\)
0.351353 0.936243i \(-0.385722\pi\)
\(648\) −4.68059 26.4268i −0.183871 1.03814i
\(649\) −30.2803 17.4824i −1.18861 0.686243i
\(650\) −19.1185 + 12.6089i −0.749889 + 0.494563i
\(651\) 13.0227 + 22.6031i 0.510400 + 0.885886i
\(652\) 4.38205 4.38205i 0.171614 0.171614i
\(653\) 1.07491 + 0.620598i 0.0420644 + 0.0242859i 0.520885 0.853627i \(-0.325602\pi\)
−0.478820 + 0.877913i \(0.658935\pi\)
\(654\) −2.46832 + 4.06941i −0.0965188 + 0.159127i
\(655\) 56.3135 + 15.0892i 2.20035 + 0.589582i
\(656\) 16.9603 4.54450i 0.662189 0.177433i
\(657\) 13.9441 3.09692i 0.544010 0.120822i
\(658\) 3.36295 0.976219i 0.131101 0.0380570i
\(659\) 15.0300i 0.585485i 0.956191 + 0.292742i \(0.0945678\pi\)
−0.956191 + 0.292742i \(0.905432\pi\)
\(660\) 0.176734 8.17119i 0.00687935 0.318063i
\(661\) −1.49527 + 5.58044i −0.0581595 + 0.217054i −0.988889 0.148653i \(-0.952506\pi\)
0.930730 + 0.365707i \(0.119173\pi\)
\(662\) 20.4678 + 35.4512i 0.795502 + 1.37785i
\(663\) 14.8324 + 3.37898i 0.576041 + 0.131229i
\(664\) −32.0544 −1.24395
\(665\) −10.1718 + 2.95275i −0.394447 + 0.114503i
\(666\) −12.9164 8.22173i −0.500501 0.318586i
\(667\) −35.5556 20.5281i −1.37672 0.794850i
\(668\) −0.847602 + 3.16329i −0.0327947 + 0.122391i
\(669\) −10.8515 44.3096i −0.419542 1.71311i
\(670\) 46.8773 12.5607i 1.81103 0.485263i
\(671\) 7.19659 7.19659i 0.277821 0.277821i
\(672\) −5.84259 + 3.36619i −0.225383 + 0.129854i
\(673\) 44.1990i 1.70375i 0.523748 + 0.851873i \(0.324533\pi\)
−0.523748 + 0.851873i \(0.675467\pi\)
\(674\) −2.98909 11.1554i −0.115135 0.429691i
\(675\) 22.4466 11.0855i 0.863972 0.426680i
\(676\) −3.38038 + 0.403736i −0.130015 + 0.0155283i
\(677\) −5.96163 3.44195i −0.229124 0.132285i 0.381044 0.924557i \(-0.375565\pi\)
−0.610168 + 0.792272i \(0.708898\pi\)
\(678\) 14.5659 + 4.24255i 0.559400 + 0.162934i
\(679\) −17.4772 28.8727i −0.670713 1.10803i
\(680\) −22.7606 −0.872830
\(681\) −13.9920 14.6107i −0.536176 0.559882i
\(682\) −41.6873 11.1701i −1.59629 0.427725i
\(683\) −40.6111 10.8817i −1.55394 0.416377i −0.623201 0.782062i \(-0.714168\pi\)
−0.930739 + 0.365685i \(0.880835\pi\)
\(684\) −0.301469 + 0.957412i −0.0115269 + 0.0366076i
\(685\) 23.5907 0.901354
\(686\) 10.8711 21.8631i 0.415059 0.834738i
\(687\) −3.58281 + 12.3008i −0.136693 + 0.469305i
\(688\) 9.68693 + 5.59275i 0.369311 + 0.213222i
\(689\) −7.27681 + 2.42144i −0.277224 + 0.0922495i
\(690\) 35.6157 + 21.6028i 1.35587 + 0.822405i
\(691\) 8.94527 + 33.3842i 0.340294 + 1.26999i 0.898015 + 0.439966i \(0.145009\pi\)
−0.557721 + 0.830029i \(0.688324\pi\)
\(692\) 0.729764i 0.0277415i
\(693\) 45.6329 + 1.02822i 1.73345 + 0.0390587i
\(694\) −8.57706 + 8.57706i −0.325581 + 0.325581i
\(695\) −32.6923 + 8.75987i −1.24009 + 0.332281i
\(696\) −35.3787 + 8.66427i −1.34102 + 0.328418i
\(697\) 3.24858 12.1239i 0.123049 0.459225i
\(698\) −2.15607 1.24481i −0.0816085 0.0471167i
\(699\) 8.49674 + 15.4805i 0.321376 + 0.585526i
\(700\) −2.40885 2.31102i −0.0910458 0.0873485i
\(701\) 30.3972 1.14809 0.574043 0.818825i \(-0.305374\pi\)
0.574043 + 0.818825i \(0.305374\pi\)
\(702\) −24.6995 0.134379i −0.932221 0.00507179i
\(703\) 2.47300 + 4.28336i 0.0932709 + 0.161550i
\(704\) 13.0311 48.6328i 0.491129 1.83292i
\(705\) 5.44713 + 0.117815i 0.205151 + 0.00443718i
\(706\) 22.8464i 0.859836i
\(707\) 1.03073 0.299208i 0.0387646 0.0112529i
\(708\) −0.771220 + 2.64782i −0.0289842 + 0.0995112i
\(709\) 8.63339 2.31331i 0.324234 0.0868781i −0.0930309 0.995663i \(-0.529656\pi\)
0.417265 + 0.908785i \(0.362989\pi\)
\(710\) −16.9627 4.54515i −0.636600 0.170577i
\(711\) 11.4809 + 0.496872i 0.430569 + 0.0186342i
\(712\) 6.19484 + 3.57659i 0.232161 + 0.134038i
\(713\) −23.4339 + 23.4339i −0.877608 + 0.877608i
\(714\) 0.0132894 14.7168i 0.000497342 0.550764i
\(715\) −63.6424 13.0576i −2.38009 0.488327i
\(716\) 4.30104 + 2.48321i 0.160737 + 0.0928017i
\(717\) 26.6569 6.52831i 0.995522 0.243804i
\(718\) 9.70052 + 16.8018i 0.362020 + 0.627038i
\(719\) 3.65057 6.32298i 0.136143 0.235807i −0.789890 0.613248i \(-0.789863\pi\)
0.926034 + 0.377441i \(0.123196\pi\)
\(720\) 31.2704 6.94502i 1.16538 0.258825i
\(721\) −0.703761 + 0.733550i −0.0262094 + 0.0273188i
\(722\) 16.1907 16.1907i 0.602556 0.602556i
\(723\) 17.3020 + 18.0670i 0.643470 + 0.671920i
\(724\) 3.27053 + 5.66473i 0.121548 + 0.210528i
\(725\) −16.9884 29.4247i −0.630932 1.09281i
\(726\) −36.3984 + 34.8573i −1.35087 + 1.29367i
\(727\) 2.41713i 0.0896465i −0.998995 0.0448232i \(-0.985728\pi\)
0.998995 0.0448232i \(-0.0142725\pi\)
\(728\) 9.53905 + 26.7995i 0.353541 + 0.993256i
\(729\) 26.7730 + 3.49351i 0.991594 + 0.129389i
\(730\) 5.09062 + 18.9985i 0.188412 + 0.703164i
\(731\) 6.92458 3.99791i 0.256115 0.147868i
\(732\) −0.686362 0.416316i −0.0253687 0.0153875i
\(733\) −10.9491 40.8625i −0.404413 1.50929i −0.805135 0.593091i \(-0.797907\pi\)
0.400722 0.916200i \(-0.368759\pi\)
\(734\) 30.0361 + 30.0361i 1.10865 + 1.10865i
\(735\) 26.3253 27.3901i 0.971024 1.01030i
\(736\) −6.05734 6.05734i −0.223277 0.223277i
\(737\) 58.5082 + 33.7797i 2.15518 + 1.24429i
\(738\) −0.881162 + 20.3605i −0.0324360 + 0.749480i
\(739\) −13.2561 + 49.4725i −0.487634 + 1.81988i 0.0802582 + 0.996774i \(0.474426\pi\)
−0.567893 + 0.823103i \(0.692241\pi\)
\(740\) −1.58827 + 2.75096i −0.0583859 + 0.101127i
\(741\) 7.05575 + 3.72537i 0.259200 + 0.136855i
\(742\) 3.84199 + 6.34706i 0.141044 + 0.233008i
\(743\) 34.5853 + 34.5853i 1.26881 + 1.26881i 0.946704 + 0.322106i \(0.104391\pi\)
0.322106 + 0.946704i \(0.395609\pi\)
\(744\) −0.635776 + 29.3948i −0.0233087 + 1.07766i
\(745\) −32.9602 + 19.0296i −1.20757 + 0.697189i
\(746\) −10.2704 + 38.3296i −0.376026 + 1.40335i
\(747\) 9.68535 30.7590i 0.354368 1.12541i
\(748\) −2.59397 2.59397i −0.0948450 0.0948450i
\(749\) −6.08278 + 6.34026i −0.222260 + 0.231668i
\(750\) −0.626769 1.14193i −0.0228864 0.0416974i
\(751\) −7.28016 4.20320i −0.265657 0.153377i 0.361255 0.932467i \(-0.382348\pi\)
−0.626912 + 0.779090i \(0.715682\pi\)
\(752\) 3.30445 + 0.885425i 0.120501 + 0.0322881i
\(753\) 1.94072 3.19958i 0.0707236 0.116599i
\(754\) 1.99125 + 33.4629i 0.0725170 + 1.21865i
\(755\) 13.2613i 0.482627i
\(756\) −0.777399 3.51528i −0.0282737 0.127850i
\(757\) 4.28820 0.155857 0.0779286 0.996959i \(-0.475169\pi\)
0.0779286 + 0.996959i \(0.475169\pi\)
\(758\) 14.4702 25.0631i 0.525582 0.910334i
\(759\) 13.7937 + 56.3234i 0.500678 + 2.04441i
\(760\) −11.5311 3.08975i −0.418277 0.112077i
\(761\) 0.829686 + 3.09643i 0.0300761 + 0.112246i 0.979332 0.202259i \(-0.0648283\pi\)
−0.949256 + 0.314505i \(0.898162\pi\)
\(762\) −40.8094 11.8864i −1.47837 0.430599i
\(763\) −2.65771 + 4.83183i −0.0962157 + 0.174924i
\(764\) 0.856617 0.0309913
\(765\) 6.87719 21.8408i 0.248645 0.789655i
\(766\) 14.2134 8.20610i 0.513550 0.296498i
\(767\) 19.6027 + 9.81400i 0.707814 + 0.354363i
\(768\) −10.6887 0.231186i −0.385697 0.00834219i
\(769\) 21.9910 21.9910i 0.793015 0.793015i −0.188968 0.981983i \(-0.560514\pi\)
0.981983 + 0.188968i \(0.0605143\pi\)
\(770\) 1.30235 + 62.8383i 0.0469335 + 2.26453i
\(771\) −2.24694 4.09378i −0.0809217 0.147434i
\(772\) −0.0912903 0.340700i −0.00328561 0.0122621i