Properties

Label 273.2.cd.e.44.10
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 44.10
Character \(\chi\) \(=\) 273.44
Dual form 273.2.cd.e.242.10

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.27346 + 0.341222i) q^{2} +(1.73165 - 0.0374536i) q^{3} +(-0.226792 + 0.130939i) q^{4} +(-3.02659 + 0.810973i) q^{5} +(-2.19240 + 0.638570i) q^{6} +(-0.631669 + 2.56924i) q^{7} +(2.10860 - 2.10860i) q^{8} +(2.99719 - 0.129713i) q^{9} +O(q^{10})\) \(q+(-1.27346 + 0.341222i) q^{2} +(1.73165 - 0.0374536i) q^{3} +(-0.226792 + 0.130939i) q^{4} +(-3.02659 + 0.810973i) q^{5} +(-2.19240 + 0.638570i) q^{6} +(-0.631669 + 2.56924i) q^{7} +(2.10860 - 2.10860i) q^{8} +(2.99719 - 0.129713i) q^{9} +(3.57751 - 2.06548i) q^{10} +(-5.55472 - 1.48838i) q^{11} +(-0.387820 + 0.235233i) q^{12} +(-3.53198 - 0.724662i) q^{13} +(-0.0722771 - 3.48735i) q^{14} +(-5.21061 + 1.51767i) q^{15} +(-1.70383 + 2.95113i) q^{16} +(-1.21796 - 2.10958i) q^{17} +(-3.77254 + 1.18789i) q^{18} +(0.330677 + 1.23410i) q^{19} +(0.580220 - 0.580220i) q^{20} +(-0.997600 + 4.47267i) q^{21} +7.58155 q^{22} +(-2.91091 + 5.04184i) q^{23} +(3.57237 - 3.73032i) 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} +(6.11762 - 3.71067i) q^{30} +(-5.49852 - 1.47332i) q^{31} +(-0.380834 + 1.42129i) q^{32} +(-9.67455 - 2.36931i) 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} +(-6.14328 - 1.12257i) q^{39} +(-4.67186 + 8.09189i) q^{40} +(3.64350 + 3.64350i) q^{41} +(-0.255772 - 6.03615i) q^{42} -3.28245i q^{43} +(1.45465 - 0.389773i) q^{44} +(-8.96609 + 2.82323i) 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} +(-2.18809 - 3.60742i) q^{51} +(0.895912 - 0.298125i) q^{52} +(-1.84206 + 1.06352i) q^{53} +(-6.48820 + 2.19830i) q^{54} +18.0189 q^{55} +(4.08556 + 6.74944i) q^{56} +(0.618837 + 2.12465i) q^{57} +(-2.40634 - 8.98057i) q^{58} +(5.87294 + 1.57365i) q^{59} +(0.983005 - 1.02647i) q^{60} +(0.884899 - 1.53269i) q^{61} +7.50485 q^{62} +(-1.55997 + 7.78245i) q^{63} -8.75523i q^{64} +(11.2775 - 0.671083i) q^{65} +(13.1286 - 0.283956i) 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} +(6.04637 - 6.59340i) q^{72} +(-1.23231 + 4.59905i) q^{73} +(-4.41994 + 2.55186i) q^{74} +(7.13500 - 4.32776i) q^{75} +(-0.236587 - 0.236587i) q^{76} +(7.33275 - 13.3312i) q^{77} +(8.20624 - 0.666671i) q^{78} +(-1.91528 + 3.31736i) q^{79} +(2.76353 - 10.3136i) q^{80} +(8.96635 - 0.777548i) q^{81} +(-5.88307 - 3.39659i) q^{82} +(-7.60088 - 7.60088i) q^{83} +(-0.359397 - 1.14499i) q^{84} +(5.39709 + 5.39709i) q^{85} +(1.12004 + 4.18006i) q^{86} +(0.264127 + 12.2118i) 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} +(-9.57667 - 2.34534i) q^{93} +(-0.661773 - 1.14622i) q^{94} +(-2.00165 - 3.46696i) q^{95} +(-0.606236 + 2.47543i) q^{96} +(-9.02015 + 9.02015i) q^{97} +(9.00550 + 2.01716i) q^{98} +(-16.8416 - 3.74045i) 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 −0.679218 0.733937i \(-0.737681\pi\)
−0.221252 + 0.975217i \(0.571014\pi\)
\(3\) 1.73165 0.0374536i 0.999766 0.0216238i
\(4\) −0.226792 + 0.130939i −0.113396 + 0.0654693i
\(5\) −3.02659 + 0.810973i −1.35353 + 0.362678i −0.861438 0.507863i \(-0.830436\pi\)
−0.492096 + 0.870541i \(0.663769\pi\)
\(6\) −2.19240 + 0.638570i −0.895042 + 0.260695i
\(7\) −0.631669 + 2.56924i −0.238749 + 0.971081i
\(8\) 2.10860 2.10860i 0.745503 0.745503i
\(9\) 2.99719 0.129713i 0.999065 0.0432375i
\(10\) 3.57751 2.06548i 1.13131 0.653161i
\(11\) −5.55472 1.48838i −1.67481 0.448764i −0.708409 0.705803i \(-0.750587\pi\)
−0.966401 + 0.257039i \(0.917253\pi\)
\(12\) −0.387820 + 0.235233i −0.111954 + 0.0679061i
\(13\) −3.53198 0.724662i −0.979594 0.200985i
\(14\) −0.0722771 3.48735i −0.0193169 0.932034i
\(15\) −5.21061 + 1.51767i −1.34537 + 0.391862i
\(16\) −1.70383 + 2.95113i −0.425958 + 0.737781i
\(17\) −1.21796 2.10958i −0.295400 0.511647i 0.679678 0.733511i \(-0.262120\pi\)
−0.975078 + 0.221863i \(0.928786\pi\)
\(18\) −3.77254 + 1.18789i −0.889195 + 0.279989i
\(19\) 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
\(21\) −0.997600 + 4.47267i −0.217694 + 0.976017i
\(22\) 7.58155 1.61639
\(23\) −2.91091 + 5.04184i −0.606966 + 1.05130i 0.384772 + 0.923012i \(0.374280\pi\)
−0.991737 + 0.128284i \(0.959053\pi\)
\(24\) 3.57237 3.73032i 0.729208 0.761449i
\(25\) 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 \(0.227236\pi\)
−0.755826 + 0.654773i \(0.772764\pi\)
\(30\) 6.11762 3.71067i 1.11692 0.677472i
\(31\) −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
\(33\) −9.67455 2.36931i −1.68412 0.412443i
\(34\) 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
\(39\) −6.14328 1.12257i −0.983711 0.179755i
\(40\) −4.67186 + 8.09189i −0.738685 + 1.27944i
\(41\) 3.64350 + 3.64350i 0.569018 + 0.569018i 0.931853 0.362835i \(-0.118191\pi\)
−0.362835 + 0.931853i \(0.618191\pi\)
\(42\) −0.255772 6.03615i −0.0394665 0.931399i
\(43\) 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
\(45\) −8.96609 + 2.82323i −1.33659 + 0.420862i
\(46\) 1.98653 7.41382i 0.292898 1.09311i
\(47\) 0.259833 + 0.969711i 0.0379006 + 0.141447i 0.982284 0.187401i \(-0.0600063\pi\)
−0.944383 + 0.328848i \(0.893340\pi\)
\(48\) −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
\(51\) −2.18809 3.60742i −0.306394 0.505140i
\(52\) 0.895912 0.298125i 0.124241 0.0413424i
\(53\) −1.84206 + 1.06352i −0.253027 + 0.146085i −0.621149 0.783692i \(-0.713334\pi\)
0.368123 + 0.929777i \(0.380001\pi\)
\(54\) −6.48820 + 2.19830i −0.882933 + 0.299151i
\(55\) 18.0189 2.42967
\(56\) 4.08556 + 6.74944i 0.545956 + 0.901932i
\(57\) 0.618837 + 2.12465i 0.0819670 + 0.281416i
\(58\) −2.40634 8.98057i −0.315967 1.17921i
\(59\) 5.87294 + 1.57365i 0.764592 + 0.204872i 0.619981 0.784617i \(-0.287140\pi\)
0.144611 + 0.989489i \(0.453807\pi\)
\(60\) 0.983005 1.02647i 0.126905 0.132516i
\(61\) 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
\(63\) −1.55997 + 7.78245i −0.196538 + 0.980496i
\(64\) 8.75523i 1.09440i
\(65\) 11.2775 0.671083i 1.39881 0.0832376i
\(66\) 13.1286 0.283956i 1.61601 0.0349526i
\(67\) 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 0.862612 0.505867i \(-0.168827\pi\)
−0.505867 + 0.862612i \(0.668827\pi\)
\(72\) 6.04637 6.59340i 0.712572 0.777039i
\(73\) −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
\(75\) 7.13500 4.32776i 0.823879 0.499726i
\(76\) −0.236587 0.236587i −0.0271384 0.0271384i
\(77\) 7.33275 13.3312i 0.835645 1.51923i
\(78\) 8.20624 0.666671i 0.929173 0.0754857i
\(79\) −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
\(81\) 8.96635 0.777548i 0.996261 0.0863942i
\(82\) −5.88307 3.39659i −0.649676 0.375091i
\(83\) −7.60088 7.60088i −0.834305 0.834305i 0.153797 0.988102i \(-0.450850\pi\)
−0.988102 + 0.153797i \(0.950850\pi\)
\(84\) −0.359397 1.14499i −0.0392135 0.124929i
\(85\) 5.39709 + 5.39709i 0.585397 + 0.585397i
\(86\) 1.12004 + 4.18006i 0.120777 + 0.450747i
\(87\) 0.264127 + 12.2118i 0.0283174 + 1.30924i
\(88\) −14.8511 + 8.57427i −1.58313 + 0.914021i
\(89\) 0.620849 + 2.31704i 0.0658099 + 0.245606i 0.990993 0.133916i \(-0.0427552\pi\)
−0.925183 + 0.379522i \(0.876089\pi\)
\(90\) 10.4546 6.65469i 1.10201 0.701465i
\(91\) 4.09287 8.61675i 0.429049 0.903281i
\(92\) 1.52460i 0.158951i
\(93\) −9.57667 2.34534i −0.993054 0.243200i
\(94\) −0.661773 1.14622i −0.0682566 0.118224i
\(95\) −2.00165 3.46696i −0.205365 0.355703i
\(96\) −0.606236 + 2.47543i −0.0618737 + 0.252648i
\(97\) −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
\(99\) −16.8416 3.74045i −1.69265 0.375930i
\(100\) −0.630855 + 1.09267i −0.0630855 + 0.109267i
\(101\) 0.202831 + 0.351314i 0.0201824 + 0.0349570i 0.875940 0.482420i \(-0.160242\pi\)
−0.855758 + 0.517377i \(0.826909\pi\)
\(102\) 4.01737 + 3.84727i 0.397779 + 0.380936i
\(103\) 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
\(105\) −0.607887 14.3460i −0.0593237 1.40002i
\(106\) 1.98289 1.98289i 0.192595 0.192595i
\(107\) −2.87599 1.66046i −0.278033 0.160522i 0.354500 0.935056i \(-0.384651\pi\)
−0.632532 + 0.774534i \(0.717985\pi\)
\(108\) −1.13186 + 0.755346i −0.108913 + 0.0726832i
\(109\) 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
\(111\) 6.43761 1.87506i 0.611031 0.177973i
\(112\) −6.50589 6.24169i −0.614749 0.589784i
\(113\) 6.64383i 0.624999i 0.949918 + 0.312499i \(0.101166\pi\)
−0.949918 + 0.312499i \(0.898834\pi\)
\(114\) −1.51304 2.49448i −0.141709 0.233630i
\(115\) 4.72133 17.6203i 0.440267 1.64310i
\(116\) −0.923395 1.59937i −0.0857351 0.148497i
\(117\) −10.6800 1.71381i −0.987368 0.158442i
\(118\) −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
\(123\) 6.44571 + 6.17278i 0.581190 + 0.556581i
\(124\) 1.43994 0.385830i 0.129310 0.0346485i
\(125\) 0.403372 0.403372i 0.0360787 0.0360787i
\(126\) −0.668982 10.4429i −0.0595977 0.930328i
\(127\) 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
\(129\) −0.122940 5.68404i −0.0108242 0.500452i
\(130\) −14.1325 + 4.70273i −1.23950 + 0.412457i
\(131\) −16.1135 9.30312i −1.40784 0.812817i −0.412661 0.910885i \(-0.635401\pi\)
−0.995180 + 0.0980674i \(0.968734\pi\)
\(132\) 2.50435 0.729431i 0.217975 0.0634888i
\(133\) −3.37959 + 0.0700436i −0.293047 + 0.00607355i
\(134\) −15.4885 −1.33800
\(135\) −15.4204 + 5.22465i −1.32717 + 0.449666i
\(136\) −7.01645 1.88005i −0.601656 0.161213i
\(137\) −7.27234 1.94862i −0.621318 0.166482i −0.0655912 0.997847i \(-0.520893\pi\)
−0.555727 + 0.831365i \(0.687560\pi\)
\(138\) 3.16229 12.9125i 0.269192 1.09919i
\(139\) −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
\(141\) 0.486258 + 1.66946i 0.0409503 + 0.140594i
\(142\) −4.85370 2.80228i −0.407313 0.235162i
\(143\) 18.5406 + 9.28222i 1.55044 + 0.776218i
\(144\) −4.72392 + 9.06610i −0.393660 + 0.755509i
\(145\) −5.71908 21.3439i −0.474944 1.77251i
\(146\) 6.27717i 0.519503i
\(147\) −10.8612 5.38832i −0.895818 0.444421i
\(148\) −0.716851 + 0.716851i −0.0589248 + 0.0589248i
\(149\) 11.7325 3.14373i 0.961168 0.257544i 0.256073 0.966657i \(-0.417571\pi\)
0.705095 + 0.709113i \(0.250905\pi\)
\(150\) −7.60938 + 7.94583i −0.621304 + 0.648774i
\(151\) 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
\(156\) 1.54024 0.549801i 0.123318 0.0440193i
\(157\) −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
\(159\) −3.14997 + 1.91062i −0.249809 + 0.151522i
\(160\) 4.61051i 0.364493i
\(161\) −11.1150 10.6636i −0.875982 0.840409i
\(162\) −11.1529 + 4.04968i −0.876257 + 0.318173i
\(163\) −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
\(165\) 31.2024 0.674872i 2.42910 0.0525387i
\(166\) 12.2730 + 7.08581i 0.952568 + 0.549965i
\(167\) −8.84266 + 8.84266i −0.684265 + 0.684265i −0.960958 0.276693i \(-0.910761\pi\)
0.276693 + 0.960958i \(0.410761\pi\)
\(168\) 7.32754 + 11.5346i 0.565332 + 0.889915i
\(169\) 11.9497 + 5.11898i 0.919210 + 0.393768i
\(170\) −8.71456 5.03136i −0.668377 0.385887i
\(171\) 1.15118 + 3.65596i 0.0880331 + 0.279578i
\(172\) 0.429800 + 0.744435i 0.0327719 + 0.0567626i
\(173\) 1.39333 2.41332i 0.105933 0.183482i −0.808186 0.588927i \(-0.799550\pi\)
0.914119 + 0.405446i \(0.132884\pi\)
\(174\) −4.50327 15.4610i −0.341392 1.17210i
\(175\) 3.55361 + 12.2417i 0.268628 + 0.925387i
\(176\) 13.8567 13.8567i 1.04449 1.04449i
\(177\) 10.2288 + 2.50504i 0.768843 + 0.188291i
\(178\) −1.58125 2.73880i −0.118520 0.205282i
\(179\) 9.48233 + 16.4239i 0.708742 + 1.22758i 0.965324 + 0.261055i \(0.0840704\pi\)
−0.256582 + 0.966523i \(0.582596\pi\)
\(180\) 1.66377 1.81430i 0.124010 0.135230i
\(181\) 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
\(186\) 12.9957 0.281083i 0.952894 0.0206100i
\(187\) 3.62559 + 13.5309i 0.265130 + 0.989477i
\(188\) −0.185901 0.185901i −0.0135582 0.0135582i
\(189\) −2.40984 + 13.5349i −0.175290 + 0.984517i
\(190\) 3.73202 + 3.73202i 0.270749 + 0.270749i
\(191\) 2.83282 + 1.63553i 0.204976 + 0.118343i 0.598974 0.800768i \(-0.295575\pi\)
−0.393998 + 0.919111i \(0.628908\pi\)
\(192\) −0.327915 15.1610i −0.0236652 1.09415i
\(193\) −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
\(195\) 19.5036 1.58446i 1.39668 0.113466i
\(196\) 1.83157 0.0759528i 0.130826 0.00542520i
\(197\) −12.5263 12.5263i −0.892463 0.892463i 0.102292 0.994754i \(-0.467382\pi\)
−0.994754 + 0.102292i \(0.967382\pi\)
\(198\) 22.7234 0.983423i 1.61488 0.0698889i
\(199\) −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
\(201\) 19.7643 + 4.84029i 1.39406 + 0.341407i
\(202\) −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
\(207\) −8.07056 + 15.4889i −0.560943 + 1.07656i
\(208\) 8.15647 9.18861i 0.565549 0.637115i
\(209\) 7.34727i 0.508221i
\(210\) 5.66928 + 18.0616i 0.391217 + 1.24637i
\(211\) −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
\(213\) 5.31789 + 5.09272i 0.364375 + 0.348947i
\(214\) 4.22903 + 1.13317i 0.289091 + 0.0774616i
\(215\) 2.66198 + 9.93465i 0.181546 + 0.677537i
\(216\) 10.2232 11.6439i 0.695603 0.792266i
\(217\) 7.25857 13.1964i 0.492744 0.895827i
\(218\) −2.74789 −0.186111
\(219\) −1.96168 + 8.01007i −0.132558 + 0.541271i
\(220\) −4.08655 + 2.35937i −0.275515 + 0.159069i
\(221\) 2.77309 + 8.33359i 0.186538 + 0.560578i
\(222\) −7.55820 + 4.58445i −0.507273 + 0.307688i
\(223\) −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 \(-0.789969\pi\)
0.990735 0.135812i \(-0.0433644\pi\)
\(228\) −0.418546 0.400824i −0.0277189 0.0265452i
\(229\) 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
\(231\) 12.1984 23.3596i 0.802598 1.53695i
\(232\) 14.8701 + 14.8701i 0.976270 + 0.976270i
\(233\) −5.09771 + 8.82950i −0.333962 + 0.578440i −0.983285 0.182073i \(-0.941719\pi\)
0.649323 + 0.760513i \(0.275052\pi\)
\(234\) 14.1853 1.46179i 0.927324 0.0955603i
\(235\) −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 0.969567 0.244825i \(-0.0787304\pi\)
−0.244825 + 0.969567i \(0.578730\pi\)
\(240\) 4.39917 17.9630i 0.283965 1.15951i
\(241\) 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
\(243\) 15.4974 1.68226i 0.994160 0.107917i
\(244\) 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
\(249\) −13.4467 12.8774i −0.852151 0.816069i
\(250\) −0.376037 + 0.651315i −0.0237827 + 0.0411928i
\(251\) 2.16053 0.136372 0.0681858 0.997673i \(-0.478279\pi\)
0.0681858 + 0.997673i \(0.478279\pi\)
\(252\) −0.665233 1.96926i −0.0419057 0.124052i
\(253\) 23.6734 23.6734i 1.48834 1.48834i
\(254\) −6.35153 23.7042i −0.398530 1.48734i
\(255\) 9.54799 + 9.14371i 0.597918 + 0.572601i
\(256\) 3.08630 + 5.34562i 0.192894 + 0.334101i
\(257\) 1.34808 2.33494i 0.0840909 0.145650i −0.820913 0.571054i \(-0.806535\pi\)
0.905003 + 0.425404i \(0.139868\pi\)
\(258\) 2.09608 + 7.19643i 0.130496 + 0.448030i
\(259\) 0.212230 + 10.2400i 0.0131873 + 0.636285i
\(260\) −2.46979 + 1.62886i −0.153170 + 0.101018i
\(261\) 0.914749 + 21.1366i 0.0566215 + 1.30832i
\(262\) 23.6942 + 6.34885i 1.46383 + 0.392233i
\(263\) −4.91720 + 2.83895i −0.303208 + 0.175057i −0.643883 0.765124i \(-0.722678\pi\)
0.340675 + 0.940181i \(0.389344\pi\)
\(264\) −25.3957 + 15.4038i −1.56300 + 0.948040i
\(265\) 4.71269 4.71269i 0.289498 0.289498i
\(266\) 4.27986 1.24239i 0.262415 0.0761756i
\(267\) 1.16187 + 3.98904i 0.0711054 + 0.244125i
\(268\) −2.97173 + 0.796273i −0.181527 + 0.0486401i
\(269\) 4.47639 2.58444i 0.272930 0.157576i −0.357288 0.933994i \(-0.616299\pi\)
0.630218 + 0.776418i \(0.282965\pi\)
\(270\) 17.8544 11.9151i 1.08658 0.725131i
\(271\) 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
\(273\) 6.76468 15.0745i 0.409417 0.912347i
\(274\) 9.92592 0.599647
\(275\) −26.7623 + 7.17094i −1.61383 + 0.432424i
\(276\) −0.0571017 2.64007i −0.00343712 0.158913i
\(277\) −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
\(279\) −16.6712 3.70261i −0.998081 0.221669i
\(280\) −17.8389 17.1145i −1.06608 1.02279i
\(281\) 20.9874 20.9874i 1.25200 1.25200i 0.297181 0.954821i \(-0.403953\pi\)
0.954821 0.297181i \(-0.0960466\pi\)
\(282\) −1.18889 1.96007i −0.0707971 0.116720i
\(283\) −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
\(285\) −3.59600 5.92858i −0.213009 0.351179i
\(286\) −26.7779 5.49406i −1.58341 0.324871i
\(287\) −11.6625 + 7.05953i −0.688415 + 0.416711i
\(288\) −0.957073 + 4.30928i −0.0563961 + 0.253927i
\(289\) 5.53313 9.58365i 0.325478 0.563744i
\(290\) 14.5660 + 25.2290i 0.855345 + 1.48150i
\(291\) −15.2819 + 15.9575i −0.895839 + 0.935448i
\(292\) −0.322714 1.20439i −0.0188854 0.0704813i
\(293\) −16.2882 + 16.2882i −0.951567 + 0.951567i −0.998880 0.0473130i \(-0.984934\pi\)
0.0473130 + 0.998880i \(0.484934\pi\)
\(294\) 15.6699 + 3.15571i 0.913887 + 0.184045i
\(295\) −19.0512 −1.10920
\(296\) 5.77199 9.99737i 0.335490 0.581085i
\(297\) −29.3038 5.84636i −1.70038 0.339240i
\(298\) −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
\(303\) 0.364390 + 0.600754i 0.0209336 + 0.0345124i
\(304\) −4.20541 1.12684i −0.241197 0.0646286i
\(305\) −1.43526 + 5.35646i −0.0821826 + 0.306710i
\(306\) 7.10076 + 6.51164i 0.405923 + 0.372246i
\(307\) 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 0.999626 0.0273417i \(-0.00870421\pi\)
−0.523492 + 0.852031i \(0.675371\pi\)
\(312\) −15.3208 + 10.5867i −0.867368 + 0.599351i
\(313\) 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
\(315\) −1.58995 24.8194i −0.0895838 1.39841i
\(316\) 1.00314i 0.0564309i
\(317\) 16.7924 4.49951i 0.943156 0.252718i 0.245700 0.969346i \(-0.420982\pi\)
0.697455 + 0.716628i \(0.254315\pi\)
\(318\) 3.35940 3.50793i 0.188386 0.196715i
\(319\) 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
\(324\) −1.93169 + 1.35038i −0.107316 + 0.0750213i
\(325\) −16.4827 + 5.48481i −0.914297 + 0.304242i
\(326\) 27.0188 15.5993i 1.49643 0.863965i
\(327\) 3.50648 + 0.858741i 0.193909 + 0.0474885i
\(328\) 15.3653 0.848410
\(329\) −2.65555 + 0.0550375i −0.146405 + 0.00303432i
\(330\) −39.5045 + 11.5063i −2.17465 + 0.633403i
\(331\) 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
\(333\) 11.0774 3.48805i 0.607039 0.191144i
\(334\) 8.24343 14.2780i 0.451060 0.781260i
\(335\) −36.8110 −2.01120
\(336\) −11.4997 10.5647i −0.627358 0.576353i
\(337\) 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
\(339\) 0.248835 + 11.5048i 0.0135149 + 0.624853i
\(340\) −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
\(345\) 7.51574 30.6889i 0.404634 1.65223i
\(346\) −0.950870 + 3.54870i −0.0511191 + 0.190779i
\(347\) 7.96790 4.60027i 0.427739 0.246955i −0.270644 0.962680i \(-0.587237\pi\)
0.698383 + 0.715724i \(0.253903\pi\)
\(348\) −1.65889 2.73495i −0.0889261 0.146609i
\(349\) −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
\(351\) −18.5582 2.56771i −0.990564 0.137054i
\(352\) 4.23084 7.32804i 0.225505 0.390586i
\(353\) 4.48512 16.7387i 0.238719 0.890911i −0.737718 0.675109i \(-0.764097\pi\)
0.976437 0.215802i \(-0.0692366\pi\)
\(354\) −13.8807 + 0.300224i −0.737751 + 0.0159567i
\(355\) −11.5357 6.66012i −0.612249 0.353482i
\(356\) −0.444194 0.444194i −0.0235422 0.0235422i
\(357\) 10.6505 3.34304i 0.563683 0.176933i
\(358\) −17.6795 17.6795i −0.934391 0.934391i
\(359\) −3.80874 14.2144i −0.201018 0.750208i −0.990627 0.136597i \(-0.956383\pi\)
0.789609 0.613610i \(-0.210283\pi\)
\(360\) −12.9528 + 24.8590i −0.682675 + 1.31018i
\(361\) 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
\(366\) −0.961317 + 3.92533i −0.0502489 + 0.205180i
\(367\) 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
\(369\) 11.3929 + 10.4477i 0.593089 + 0.543883i
\(370\) 11.3079 11.3079i 0.587869 0.587869i
\(371\) −1.56885 5.40449i −0.0814507 0.280587i
\(372\) 2.47901 0.722051i 0.128531 0.0374366i
\(373\) −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
\(375\) 0.683389 0.713605i 0.0352901 0.0368504i
\(376\) 2.59262 + 1.49685i 0.133704 + 0.0771941i
\(377\) 5.11040 24.9079i 0.263199 1.28282i
\(378\) −1.54956 18.0584i −0.0797010 0.928821i
\(379\) 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
\(381\) 0.697164 + 32.2330i 0.0357168 + 1.65135i
\(382\) −4.16555 1.11616i −0.213128 0.0571076i
\(383\) −12.0246 + 3.22198i −0.614428 + 0.164635i −0.552593 0.833451i \(-0.686362\pi\)
−0.0618345 + 0.998086i \(0.519695\pi\)
\(384\) 4.16543 + 14.3011i 0.212566 + 0.729800i
\(385\) −11.3820 + 46.2949i −0.580080 + 2.35941i
\(386\) 1.77571i 0.0903811i
\(387\) −0.425775 9.83815i −0.0216434 0.500101i
\(388\) 0.864615 3.22679i 0.0438942 0.163815i
\(389\) 3.32527 + 5.75954i 0.168598 + 0.292021i 0.937927 0.346832i \(-0.112743\pi\)
−0.769329 + 0.638853i \(0.779409\pi\)
\(390\) −24.2963 + 8.67278i −1.23029 + 0.439163i
\(391\) 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
\(396\) 4.30932 1.35691i 0.216552 0.0681875i
\(397\) 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
\(399\) −5.84963 + 0.247868i −0.292848 + 0.0124089i
\(400\) 16.4179i 0.820897i
\(401\) 9.28470 + 34.6510i 0.463656 + 1.73039i 0.661307 + 0.750115i \(0.270002\pi\)
−0.197651 + 0.980272i \(0.563331\pi\)
\(402\) −26.8205 + 0.580098i −1.33769 + 0.0289327i
\(403\) 18.3530 + 9.18831i 0.914227 + 0.457702i
\(404\) −0.0920011 0.0531168i −0.00457722 0.00264266i
\(405\) −26.5069 + 9.62479i −1.31714 + 0.478260i
\(406\) 24.5932 0.509706i 1.22054 0.0252963i
\(407\) −22.2620 −1.10349
\(408\) −12.2204 2.99279i −0.605001 0.148165i
\(409\) 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
\(411\) −12.6661 3.10194i −0.624773 0.153008i
\(412\) −0.100618 −0.00495712
\(413\) −7.75284 + 14.0950i −0.381492 + 0.693568i
\(414\) 4.99234 22.4783i 0.245360 1.10475i
\(415\) 29.1689 + 16.8407i 1.43184 + 0.826676i
\(416\) 2.37505 4.74399i 0.116446 0.232593i
\(417\) −18.7047 + 0.404561i −0.915972 + 0.0198114i
\(418\) 2.50705 + 9.35643i 0.122624 + 0.457638i
\(419\) 25.6590i 1.25352i −0.779210 0.626762i \(-0.784380\pi\)
0.779210 0.626762i \(-0.215620\pi\)
\(420\) 2.01631 + 3.17396i 0.0983857 + 0.154874i
\(421\) −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
\(423\) 0.904555 + 2.87271i 0.0439810 + 0.139676i
\(424\) −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
\(429\) 32.4533 + 15.3791i 1.56686 + 0.742510i
\(430\) −6.77983 11.7430i −0.326952 0.566298i
\(431\) −4.61709 + 17.2312i −0.222397 + 0.829999i 0.761033 + 0.648713i \(0.224692\pi\)
−0.983430 + 0.181286i \(0.941974\pi\)
\(432\) −7.84060 + 15.8762i −0.377231 + 0.763845i
\(433\) 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
\(435\) −10.7028 36.7459i −0.513161 1.76183i
\(436\) −0.527231 + 0.141271i −0.0252498 + 0.00676566i
\(437\) −7.18472 1.92514i −0.343692 0.0920920i
\(438\) −0.235103 10.8698i −0.0112336 0.519381i
\(439\) −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
\(441\) −19.0096 8.92388i −0.905218 0.424946i
\(442\) −6.37501 9.66622i −0.303228 0.459775i
\(443\) −1.47962 0.854257i −0.0702987 0.0405870i 0.464439 0.885605i \(-0.346256\pi\)
−0.534737 + 0.845018i \(0.679589\pi\)
\(444\) −1.21448 + 1.26818i −0.0576368 + 0.0601852i
\(445\) −3.75812 6.50925i −0.178152 0.308568i
\(446\) 17.3618 30.0715i 0.822106 1.42393i
\(447\) 20.1989 5.88325i 0.955374 0.278268i
\(448\) 22.4943 + 5.53041i 1.06276 + 0.261287i
\(449\) −18.8634 + 18.8634i −0.890220 + 0.890220i −0.994543 0.104324i \(-0.966732\pi\)
0.104324 + 0.994543i \(0.466732\pi\)
\(450\) −12.8792 + 14.0444i −0.607129 + 0.662057i
\(451\) −14.8157 25.6615i −0.697643 1.20835i
\(452\) −0.869934 1.50677i −0.0409182 0.0708725i
\(453\) 1.74372 7.12011i 0.0819273 0.334532i
\(454\) 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
\(459\) −7.02607 10.5283i −0.327949 0.491420i
\(460\) 1.23641 + 4.61434i 0.0576479 + 0.215145i
\(461\) −12.4061 12.4061i −0.577811 0.577811i 0.356489 0.934300i \(-0.383974\pi\)
−0.934300 + 0.356489i \(0.883974\pi\)
\(462\) −7.56336 + 33.9098i −0.351879 + 1.57763i
\(463\) 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
\(465\) 30.8867 0.668044i 1.43234 0.0309798i
\(466\) 3.47890 12.9834i 0.161157 0.601446i
\(467\) −10.8353 + 18.7673i −0.501399 + 0.868448i 0.498600 + 0.866832i \(0.333848\pi\)
−0.999999 + 0.00161598i \(0.999486\pi\)
\(468\) 2.64655 1.00975i 0.122337 0.0466756i
\(469\) −14.9802 + 27.2345i −0.691720 + 1.25757i
\(470\) 2.93247 + 2.93247i 0.135265 + 0.135265i
\(471\) −18.2544 30.0953i −0.841119 1.38672i
\(472\) 15.7019 9.06549i 0.722738 0.417273i
\(473\) −4.88554 + 18.2331i −0.224637 + 0.838358i
\(474\) 2.08068 8.49602i 0.0955689 0.390235i
\(475\) 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 −0.443723 0.896164i \(-0.646343\pi\)
−0.832357 + 0.554239i \(0.813009\pi\)
\(480\) −0.172680 7.98377i −0.00788173 0.364408i
\(481\) −13.9332 + 0.829109i −0.635298 + 0.0378041i
\(482\) 19.0410i 0.867294i
\(483\) −19.6466 18.0493i −0.893950 0.821270i
\(484\) −5.77967 −0.262712
\(485\) 19.9852 34.6154i 0.907482 1.57181i
\(486\) −19.1613 + 7.43034i −0.869172 + 0.337047i
\(487\) −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
\(489\) −39.3526 + 11.4621i −1.77959 + 0.518333i
\(490\) −28.8919 + 1.19811i −1.30520 + 0.0541251i
\(491\) 21.0075 0.948057 0.474029 0.880509i \(-0.342799\pi\)
0.474029 + 0.880509i \(0.342799\pi\)
\(492\) −2.27009 0.555948i −0.102344 0.0250641i
\(493\) 14.8770 8.58923i 0.670026 0.386840i
\(494\) 1.91756 + 5.76256i 0.0862750 + 0.259270i
\(495\) 54.0061 2.33728i 2.42740 0.105053i
\(496\) 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
\(501\) −14.9812 + 15.6435i −0.669309 + 0.698902i
\(502\) −2.75134 + 0.737220i −0.122798 + 0.0329037i
\(503\) 0.987759i 0.0440420i 0.999758 + 0.0220210i \(0.00701007\pi\)
−0.999758 + 0.0220210i \(0.992990\pi\)
\(504\) 13.1207 + 19.6994i 0.584443 + 0.877482i
\(505\) −0.898793 0.898793i −0.0399958 0.0399958i
\(506\) −22.0692 + 38.2250i −0.981095 + 1.69931i
\(507\) 20.8844 + 8.41670i 0.927510 + 0.373799i
\(508\) −2.43730 4.22153i −0.108138 0.187300i
\(509\) 21.8123 5.84459i 0.966814 0.259057i 0.259332 0.965788i \(-0.416498\pi\)
0.707482 + 0.706731i \(0.249831\pi\)
\(510\) −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
\(513\) 2.13037 + 6.28771i 0.0940581 + 0.277609i
\(514\) −0.919988 + 3.43344i −0.0405789 + 0.151443i
\(515\) −1.16288 0.311592i −0.0512425 0.0137304i
\(516\) 0.772143 + 1.27300i 0.0339917 + 0.0560407i
\(517\) 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 −0.930613 0.366004i \(-0.880726\pi\)
−0.148338 + 0.988937i \(0.547392\pi\)
\(522\) −8.37715 26.6044i −0.366658 1.16444i
\(523\) −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
\(525\) 6.61209 + 21.0652i 0.288575 + 0.919362i
\(526\) 5.29313 5.29313i 0.230791 0.230791i
\(527\) 3.58891 + 13.3940i 0.156335 + 0.583452i
\(528\) 23.4759 24.5139i 1.02166 1.06683i
\(529\) −5.44675 9.43405i −0.236815 0.410176i
\(530\) −4.39333 + 7.60948i −0.190834 + 0.330535i
\(531\) 17.8065 + 3.95474i 0.772735 + 0.171621i
\(532\) 0.757293 0.458404i 0.0328328 0.0198743i
\(533\) −10.2284 15.5090i −0.443043 0.671771i
\(534\) −2.84074 4.68341i −0.122931 0.202671i
\(535\) 10.0510 + 2.69317i 0.434544 + 0.116436i
\(536\) 30.3395 17.5165i 1.31046 0.756597i
\(537\) 17.0352 + 28.0852i 0.735121 + 1.21196i
\(538\) −4.81862 + 4.81862i −0.207745 + 0.207745i
\(539\) 29.6193 + 27.2605i 1.27579 + 1.17419i
\(540\) 2.81311 3.20403i 0.121057 0.137880i
\(541\) 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
\(543\) −0.935500 43.2523i −0.0401461 1.85614i
\(544\) 3.46216 0.927683i 0.148439 0.0397741i
\(545\) −6.53085 −0.279751
\(546\) −3.47079 + 21.5049i −0.148536 + 0.920325i
\(547\) −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
\(549\) 2.45340 4.70855i 0.104709 0.200956i
\(550\) 31.6337 18.2637i 1.34887 0.778769i
\(551\) −8.70305 + 2.33198i −0.370762 + 0.0993455i
\(552\) 8.40884 + 28.8700i 0.357904 + 1.22879i
\(553\) −7.31328 7.01629i −0.310992 0.298363i
\(554\) 12.9852 12.9852i 0.551690 0.551690i
\(555\) −17.9634 + 10.8958i −0.762504 + 0.462499i
\(556\) 2.44974 1.41436i 0.103892 0.0599821i
\(557\) −3.43301 0.919872i −0.145461 0.0389762i 0.185354 0.982672i \(-0.440657\pi\)
−0.330815 + 0.943696i \(0.607324\pi\)
\(558\) 22.4935 0.973474i 0.952226 0.0412104i
\(559\) −2.37867 + 11.5935i −0.100607 + 0.490355i
\(560\) 24.7525 + 13.6150i 1.04599 + 0.575337i
\(561\) 6.78502 + 23.2949i 0.286464 + 0.983512i
\(562\) −19.5652 + 33.8879i −0.825307 + 1.42947i
\(563\) −11.5278 19.9667i −0.485838 0.841496i 0.514029 0.857773i \(-0.328152\pi\)
−0.999868 + 0.0162762i \(0.994819\pi\)
\(564\) −0.328877 0.314952i −0.0138482 0.0132619i
\(565\) −5.38797 20.1082i −0.226673 0.845957i
\(566\) 10.0789 10.0789i 0.423647 0.423647i
\(567\) −3.66606 + 23.5279i −0.153960 + 0.988077i
\(568\) 12.6768 0.531908
\(569\) 5.98244 10.3619i 0.250797 0.434393i −0.712948 0.701216i \(-0.752641\pi\)
0.963745 + 0.266823i \(0.0859740\pi\)
\(570\) 6.60231 + 6.32275i 0.276540 + 0.264831i
\(571\) −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
\(576\) −1.13566 26.2411i −0.0473193 1.09338i
\(577\) 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
\(579\) −0.554925 + 2.26591i −0.0230619 + 0.0941682i
\(580\) 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
\(585\) 33.7139 3.47420i 1.39390 0.143641i
\(586\) 15.1844 26.3002i 0.627263 1.08645i
\(587\) 24.9628 + 24.9628i 1.03032 + 1.03032i 0.999526 + 0.0307993i \(0.00980529\pi\)
0.0307993 + 0.999526i \(0.490195\pi\)
\(588\) 3.16878 0.200122i 0.130678 0.00825289i
\(589\) 7.27294i 0.299676i
\(590\) 24.2609 6.50068i 0.998804 0.267629i
\(591\) −22.1603 21.2220i −0.911553 0.872956i
\(592\) −3.41428 + 12.7423i −0.140326 + 0.523704i
\(593\) −0.550271 2.05364i −0.0225969 0.0843329i 0.953707 0.300739i \(-0.0972332\pi\)
−0.976303 + 0.216406i \(0.930567\pi\)
\(594\) 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
\(597\) −17.7416 + 10.7612i −0.726115 + 0.440427i
\(598\) −12.3889 + 24.7459i −0.506619 + 1.01193i
\(599\) 38.5567 22.2607i 1.57538 0.909547i 0.579891 0.814694i \(-0.303095\pi\)
0.995491 0.0948531i \(-0.0302381\pi\)
\(600\) 5.91935 24.1704i 0.241656 0.986751i
\(601\) 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
\(603\) 34.4060 + 7.64142i 1.40112 + 0.311183i
\(604\) 0.286859 + 1.07057i 0.0116721 + 0.0435610i
\(605\) −66.7973 17.8983i −2.71570 0.727669i
\(606\) −0.669024 0.640697i −0.0271773 0.0260265i
\(607\) 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
\(609\) −31.5418 7.03520i −1.27814 0.285081i
\(610\) 7.31095i 0.296012i
\(611\) −0.215013 3.61329i −0.00869849 0.146178i
\(612\) 1.69717 + 0.884317i 0.0686041 + 0.0357464i
\(613\) −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 0.633390 0.773833i \(-0.281663\pi\)
−0.773833 + 0.633390i \(0.781663\pi\)
\(618\) −0.852183 0.208700i −0.0342798 0.00839516i
\(619\) 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
\(621\) −13.3952 + 27.1236i −0.537532 + 1.08843i
\(622\) −15.6554 15.6554i −0.627726 0.627726i
\(623\) −6.34520 + 0.131507i −0.254215 + 0.00526873i
\(624\) 13.7800 16.2169i 0.551640 0.649196i
\(625\) −12.9386 + 22.4103i −0.517543 + 0.896411i
\(626\) −1.08723 + 4.05761i −0.0434546 + 0.162175i
\(627\) −0.275182 12.7229i −0.0109897 0.508103i
\(628\) 4.60888 + 2.66094i 0.183914 + 0.106183i
\(629\) −6.66800 6.66800i −0.265871 0.265871i
\(630\) 10.4936 + 31.0639i 0.418077 + 1.23761i
\(631\) 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
\(633\) −11.3141 + 0.244711i −0.449695 + 0.00972639i
\(634\) −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
\(639\) 9.39943 + 8.61961i 0.371836 + 0.340986i
\(640\) −13.4732 23.3363i −0.532576 0.922448i
\(641\) 5.90485 + 10.2275i 0.233228 + 0.403962i 0.958756 0.284230i \(-0.0917379\pi\)
−0.725528 + 0.688192i \(0.758405\pi\)
\(642\) 7.36563 + 1.80385i 0.290698 + 0.0711923i
\(643\) −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
\(645\) 4.98169 + 17.1036i 0.196154 + 0.673453i
\(646\) −2.05155 + 3.55339i −0.0807173 + 0.139806i
\(647\) 16.1554 + 27.9819i 0.635133 + 1.10008i 0.986487 + 0.163840i \(0.0523882\pi\)
−0.351353 + 0.936243i \(0.614278\pi\)
\(648\) 17.2669 20.5460i 0.678308 0.807122i
\(649\) −30.2803 17.4824i −1.18861 0.686243i
\(650\) 19.1185 12.6089i 0.749889 0.494563i
\(651\) 12.0750 23.1233i 0.473257 0.906273i
\(652\) 4.38205 4.38205i 0.171614 0.171614i
\(653\) −1.07491 0.620598i −0.0420644 0.0242859i 0.478820 0.877913i \(-0.341065\pi\)
−0.520885 + 0.853627i \(0.674398\pi\)
\(654\) −4.75837 + 0.102918i −0.186067 + 0.00402442i
\(655\) 56.3135 + 15.0892i 2.20035 + 0.589582i
\(656\) −16.9603 + 4.54450i −0.662189 + 0.177433i
\(657\) −3.09692 + 13.9441i −0.120822 + 0.544010i
\(658\) 3.36295 0.976219i 0.131101 0.0380570i
\(659\) 15.0300i 0.585485i −0.956191 0.292742i \(-0.905432\pi\)
0.956191 0.292742i \(-0.0945678\pi\)
\(660\) −6.98809 + 4.23865i −0.272011 + 0.164989i
\(661\) −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
\(663\) 5.11414 + 14.3270i 0.198617 + 0.556413i
\(664\) −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
\(669\) −31.5524 + 32.9475i −1.21989 + 1.27382i
\(670\) 46.8773 12.5607i 1.81103 0.485263i
\(671\) −7.19659 + 7.19659i −0.277821 + 0.277821i
\(672\) −5.97704 3.12122i −0.230569 0.120404i
\(673\) 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
\(675\) 20.8236 13.8966i 0.801501 0.534882i
\(676\) −3.38038 + 0.403736i −0.130015 + 0.0155283i
\(677\) 5.96163 + 3.44195i 0.229124 + 0.132285i 0.610168 0.792272i \(-0.291102\pi\)
−0.381044 + 0.924557i \(0.624435\pi\)
\(678\) −4.24255 14.5659i −0.162934 0.559400i
\(679\) −17.4772 28.8727i −0.670713 1.10803i
\(680\) 22.7606 0.872830
\(681\) 4.81211 19.6492i 0.184401 0.752960i
\(682\) −41.6873 11.1701i −1.59629 0.427725i
\(683\) 40.6111 + 10.8817i 1.55394 + 0.416377i 0.930739 0.365685i \(-0.119165\pi\)
0.623201 + 0.782062i \(0.285832\pi\)
\(684\) −0.739785 0.678409i −0.0282864 0.0259396i
\(685\) 23.5907 0.901354
\(686\) −10.8711 + 21.8631i −0.415059 + 0.834738i
\(687\) 12.3008 3.58281i 0.469305 0.136693i
\(688\) 9.68693 + 5.59275i 0.369311 + 0.213222i
\(689\) 7.27681 2.42144i 0.277224 0.0922495i
\(690\) 0.900745 + 41.6455i 0.0342908 + 1.58542i
\(691\) 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
\(693\) 20.2485 40.9074i 0.769175 1.55395i
\(694\) −8.57706 + 8.57706i −0.325581 + 0.325581i
\(695\) 32.6923 8.75987i 1.24009 0.332281i
\(696\) 26.3067 + 25.1928i 0.997152 + 0.954931i
\(697\) 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 \(-0.694626\pi\)
−0.574043 + 0.818825i \(0.694626\pi\)
\(702\) 24.5092 3.06260i 0.925041 0.115590i
\(703\) 2.47300 + 4.28336i 0.0932709 + 0.161550i
\(704\) −13.0311 + 48.6328i −0.491129 + 1.83292i
\(705\) −2.82560 4.65845i −0.106418 0.175447i
\(706\) 22.8464i 0.859836i
\(707\) −1.03073 + 0.299208i −0.0387646 + 0.0112529i
\(708\) −2.64782 + 0.771220i −0.0995112 + 0.0289842i
\(709\) 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
\(711\) −5.31017 + 10.1912i −0.199147 + 0.382201i
\(712\) 6.19484 + 3.57659i 0.232161 + 0.134038i
\(713\) 23.4339 23.4339i 0.877608 0.877608i
\(714\) −12.4222 + 7.89139i −0.464889 + 0.295328i
\(715\) −63.6424 13.0576i −2.38009 0.488327i
\(716\) −4.30104 2.48321i −0.160737 0.0928017i
\(717\) 19.8214 + 18.9822i 0.740245 + 0.708901i
\(718\) 9.70052 + 16.8018i 0.362020 + 0.627038i
\(719\) −3.65057 + 6.32298i −0.136143 + 0.235807i −0.926034 0.377441i \(-0.876804\pi\)
0.789890 + 0.613248i \(0.210137\pi\)
\(720\) 6.94502 31.2704i 0.258825 1.16538i
\(721\) −0.703761 + 0.733550i −0.0262094 + 0.0273188i
\(722\) −16.1907 + 16.1907i −0.602556 + 0.602556i
\(723\) 5.95049 24.2975i 0.221301 0.903635i
\(724\) 3.27053 + 5.66473i 0.121548 + 0.210528i
\(725\) 16.9884 + 29.4247i 0.630932 + 1.09281i
\(726\) −48.9506 11.9880i −1.81673 0.444918i
\(727\) 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
\(732\) 0.0173586 + 0.802565i 0.000641592 + 0.0296637i
\(733\) −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
\(735\) 37.2423 + 7.50011i 1.37370 + 0.276646i
\(736\) −6.05734 6.05734i −0.223277 0.223277i
\(737\) −58.5082 33.7797i −2.15518 1.24429i
\(738\) −18.0733 9.41714i −0.665287 0.346650i
\(739\) −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
\(741\) −0.646070 7.95265i −0.0237340 0.292148i
\(742\) 3.84199 + 6.34706i 0.141044 + 0.233008i
\(743\) −34.5853 34.5853i −1.26881 1.26881i −0.946704 0.322106i \(-0.895609\pi\)
−0.322106 0.946704i \(-0.604391\pi\)
\(744\) −25.1387 + 15.2480i −0.921631 + 0.559018i
\(745\) −32.9602 + 19.0296i −1.20757 + 0.697189i
\(746\) 10.2704 38.3296i 0.376026 1.40335i
\(747\) −23.7673 21.7954i −0.869598 0.797452i
\(748\) −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
\(753\) 3.74128 0.0809196i 0.136340 0.00294888i
\(754\) 1.99125 + 33.4629i 0.0725170 + 1.21865i
\(755\) 13.2613i 0.482627i
\(756\) −1.22570 3.38515i −0.0445784 0.123117i
\(757\) 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
\(759\) 40.1074 41.8807i 1.45580 1.52017i
\(760\) −11.5311 3.08975i −0.418277 0.112077i
\(761\) −0.829686 3.09643i −0.0300761 0.112246i 0.949256 0.314505i \(-0.101838\pi\)
−0.979332 + 0.202259i \(0.935172\pi\)
\(762\) −11.8864 40.8094i −0.430599 1.47837i
\(763\) −2.65771 + 4.83183i −0.0962157 + 0.174924i
\(764\) −0.856617 −0.0309913
\(765\) 16.8762 + 15.4761i 0.610160 + 0.559538i
\(766\) 14.2134 8.20610i 0.513550 0.296498i
\(767\) −19.6027 9.81400i −0.707814 0.354363i
\(768\) 5.54459 + 9.14113i 0.200073 + 0.329852i
\(769\) 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