Properties

Label 322.2.i.d.197.3
Level $322$
Weight $2$
Character 322.197
Analytic conductor $2.571$
Analytic rank $0$
Dimension $40$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 322 = 2 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 322.i (of order \(11\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.57118294509\)
Analytic rank: \(0\)
Dimension: \(40\)
Relative dimension: \(4\) over \(\Q(\zeta_{11})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{11}]$

Embedding invariants

Embedding label 197.3
Character \(\chi\) \(=\) 322.197
Dual form 322.2.i.d.85.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.654861 - 0.755750i) q^{2} +(1.39187 + 0.894499i) q^{3} +(-0.142315 + 0.989821i) q^{4} +(-1.27474 + 2.79128i) q^{5} +(-0.235462 - 1.63768i) q^{6} +(0.959493 + 0.281733i) q^{7} +(0.841254 - 0.540641i) q^{8} +(-0.109077 - 0.238845i) q^{9} +O(q^{10})\) \(q+(-0.654861 - 0.755750i) q^{2} +(1.39187 + 0.894499i) q^{3} +(-0.142315 + 0.989821i) q^{4} +(-1.27474 + 2.79128i) q^{5} +(-0.235462 - 1.63768i) q^{6} +(0.959493 + 0.281733i) q^{7} +(0.841254 - 0.540641i) q^{8} +(-0.109077 - 0.238845i) q^{9} +(2.94429 - 0.864520i) q^{10} +(-1.60338 + 1.85040i) q^{11} +(-1.08348 + 1.25040i) q^{12} +(0.227911 - 0.0669208i) q^{13} +(-0.415415 - 0.909632i) q^{14} +(-4.27107 + 2.74485i) q^{15} +(-0.959493 - 0.281733i) q^{16} +(0.786144 + 5.46775i) q^{17} +(-0.109077 + 0.238845i) q^{18} +(-0.408174 + 2.83891i) q^{19} +(-2.58146 - 1.65900i) q^{20} +(1.08348 + 1.25040i) q^{21} +2.44842 q^{22} +(0.294813 + 4.78676i) q^{23} +1.65452 q^{24} +(-2.89200 - 3.33755i) q^{25} +(-0.199826 - 0.128420i) q^{26} +(0.768213 - 5.34304i) q^{27} +(-0.415415 + 0.909632i) q^{28} +(-0.445425 - 3.09800i) q^{29} +(4.87137 + 1.43036i) q^{30} +(4.62969 - 2.97532i) q^{31} +(0.415415 + 0.909632i) q^{32} +(-3.88687 + 1.14129i) q^{33} +(3.61743 - 4.17474i) q^{34} +(-2.00950 + 2.31908i) q^{35} +(0.251937 - 0.0739754i) q^{36} +(-1.89888 - 4.15797i) q^{37} +(2.41280 - 1.55061i) q^{38} +(0.377083 + 0.110722i) q^{39} +(0.436705 + 3.03735i) q^{40} +(1.02386 - 2.24195i) q^{41} +(0.235462 - 1.63768i) q^{42} +(1.86556 + 1.19892i) q^{43} +(-1.60338 - 1.85040i) q^{44} +0.805728 q^{45} +(3.42453 - 3.35747i) q^{46} +11.6979 q^{47} +(-1.08348 - 1.25040i) q^{48} +(0.841254 + 0.540641i) q^{49} +(-0.628493 + 4.37126i) q^{50} +(-3.79669 + 8.31359i) q^{51} +(0.0338045 + 0.235115i) q^{52} +(4.42280 + 1.29865i) q^{53} +(-4.54107 + 2.91837i) q^{54} +(-3.12109 - 6.83424i) q^{55} +(0.959493 - 0.281733i) q^{56} +(-3.10753 + 3.58628i) q^{57} +(-2.04962 + 2.36539i) q^{58} +(-7.23756 + 2.12514i) q^{59} +(-2.10907 - 4.61823i) q^{60} +(10.8606 - 6.97967i) q^{61} +(-5.28041 - 1.55047i) q^{62} +(-0.0373681 - 0.259901i) q^{63} +(0.415415 - 0.909632i) q^{64} +(-0.103732 + 0.721471i) q^{65} +(3.40788 + 2.19011i) q^{66} +(-9.60399 - 11.0836i) q^{67} -5.52397 q^{68} +(-3.87141 + 6.92625i) q^{69} +3.06858 q^{70} +(-3.38848 - 3.91051i) q^{71} +(-0.220891 - 0.141958i) q^{72} +(-1.06964 + 7.43953i) q^{73} +(-1.89888 + 4.15797i) q^{74} +(-1.03985 - 7.23233i) q^{75} +(-2.75192 - 0.808038i) q^{76} +(-2.05975 + 1.32372i) q^{77} +(-0.163259 - 0.357488i) q^{78} +(3.12023 - 0.916182i) q^{79} +(2.00950 - 2.31908i) q^{80} +(5.33275 - 6.15432i) q^{81} +(-2.36484 + 0.694379i) q^{82} +(-5.51635 - 12.0791i) q^{83} +(-1.39187 + 0.894499i) q^{84} +(-16.2642 - 4.77559i) q^{85} +(-0.315597 - 2.19503i) q^{86} +(2.15119 - 4.71044i) q^{87} +(-0.348447 + 2.42350i) q^{88} +(10.5002 + 6.74806i) q^{89} +(-0.527640 - 0.608929i) q^{90} +0.237533 q^{91} +(-4.78000 - 0.389415i) q^{92} +9.10535 q^{93} +(-7.66050 - 8.84068i) q^{94} +(-7.40389 - 4.75819i) q^{95} +(-0.235462 + 1.63768i) q^{96} +(1.83545 - 4.01907i) q^{97} +(-0.142315 - 0.989821i) q^{98} +(0.616849 + 0.181123i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 40 q - 4 q^{2} - 4 q^{4} + 9 q^{5} + 4 q^{7} - 4 q^{8} - 8 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 40 q - 4 q^{2} - 4 q^{4} + 9 q^{5} + 4 q^{7} - 4 q^{8} - 8 q^{9} - 2 q^{10} + 6 q^{11} + 2 q^{13} + 4 q^{14} - 3 q^{15} - 4 q^{16} - 13 q^{17} - 8 q^{18} - 22 q^{19} - 2 q^{20} - 16 q^{22} - 9 q^{23} + 22 q^{24} - 15 q^{25} - 9 q^{26} + 21 q^{27} + 4 q^{28} - 10 q^{29} - 14 q^{30} - 2 q^{31} - 4 q^{32} + 8 q^{33} - 2 q^{34} + 13 q^{35} - 8 q^{36} - 45 q^{37} + 11 q^{38} - 22 q^{39} + 9 q^{40} + 21 q^{41} + 31 q^{43} + 6 q^{44} + 2 q^{45} - 9 q^{46} + 64 q^{47} - 4 q^{49} + 7 q^{50} + 65 q^{51} + 2 q^{52} + 69 q^{53} + 21 q^{54} - 74 q^{55} + 4 q^{56} - 68 q^{57} + 12 q^{58} + 48 q^{59} - 3 q^{60} + 6 q^{61} - 13 q^{62} + 8 q^{63} - 4 q^{64} - 64 q^{65} - 69 q^{66} + 31 q^{67} - 2 q^{68} - 62 q^{69} + 2 q^{70} - 57 q^{71} - 19 q^{72} + 70 q^{73} - 45 q^{74} - 11 q^{75} + 22 q^{76} - 6 q^{77} + 33 q^{78} + 34 q^{79} - 13 q^{80} + 30 q^{81} - 12 q^{82} - 56 q^{83} - 17 q^{85} + 42 q^{86} - 3 q^{87} + 6 q^{88} + 16 q^{89} + 46 q^{90} - 46 q^{91} + 24 q^{92} + 48 q^{93} + 9 q^{94} - 42 q^{95} - 36 q^{97} - 4 q^{98} + 112 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/322\mathbb{Z}\right)^\times\).

\(n\) \(185\) \(281\)
\(\chi(n)\) \(1\) \(e\left(\frac{7}{11}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.654861 0.755750i −0.463056 0.534396i
\(3\) 1.39187 + 0.894499i 0.803596 + 0.516440i 0.876787 0.480878i \(-0.159682\pi\)
−0.0731918 + 0.997318i \(0.523319\pi\)
\(4\) −0.142315 + 0.989821i −0.0711574 + 0.494911i
\(5\) −1.27474 + 2.79128i −0.570079 + 1.24830i 0.376676 + 0.926345i \(0.377067\pi\)
−0.946755 + 0.321955i \(0.895660\pi\)
\(6\) −0.235462 1.63768i −0.0961271 0.668579i
\(7\) 0.959493 + 0.281733i 0.362654 + 0.106485i
\(8\) 0.841254 0.540641i 0.297428 0.191145i
\(9\) −0.109077 0.238845i −0.0363590 0.0796150i
\(10\) 2.94429 0.864520i 0.931065 0.273385i
\(11\) −1.60338 + 1.85040i −0.483436 + 0.557915i −0.944100 0.329660i \(-0.893066\pi\)
0.460664 + 0.887575i \(0.347611\pi\)
\(12\) −1.08348 + 1.25040i −0.312773 + 0.360960i
\(13\) 0.227911 0.0669208i 0.0632112 0.0185605i −0.249974 0.968253i \(-0.580422\pi\)
0.313185 + 0.949692i \(0.398604\pi\)
\(14\) −0.415415 0.909632i −0.111024 0.243109i
\(15\) −4.27107 + 2.74485i −1.10278 + 0.708717i
\(16\) −0.959493 0.281733i −0.239873 0.0704331i
\(17\) 0.786144 + 5.46775i 0.190668 + 1.32612i 0.830246 + 0.557397i \(0.188200\pi\)
−0.639578 + 0.768726i \(0.720891\pi\)
\(18\) −0.109077 + 0.238845i −0.0257097 + 0.0562963i
\(19\) −0.408174 + 2.83891i −0.0936414 + 0.651290i 0.887899 + 0.460038i \(0.152164\pi\)
−0.981541 + 0.191253i \(0.938745\pi\)
\(20\) −2.58146 1.65900i −0.577232 0.370964i
\(21\) 1.08348 + 1.25040i 0.236434 + 0.272860i
\(22\) 2.44842 0.522006
\(23\) 0.294813 + 4.78676i 0.0614728 + 0.998109i
\(24\) 1.65452 0.337727
\(25\) −2.89200 3.33755i −0.578401 0.667510i
\(26\) −0.199826 0.128420i −0.0391890 0.0251852i
\(27\) 0.768213 5.34304i 0.147843 1.02827i
\(28\) −0.415415 + 0.909632i −0.0785061 + 0.171904i
\(29\) −0.445425 3.09800i −0.0827134 0.575284i −0.988462 0.151469i \(-0.951600\pi\)
0.905749 0.423815i \(-0.139309\pi\)
\(30\) 4.87137 + 1.43036i 0.889387 + 0.261147i
\(31\) 4.62969 2.97532i 0.831518 0.534384i −0.0542421 0.998528i \(-0.517274\pi\)
0.885760 + 0.464144i \(0.153638\pi\)
\(32\) 0.415415 + 0.909632i 0.0734357 + 0.160802i
\(33\) −3.88687 + 1.14129i −0.676617 + 0.198673i
\(34\) 3.61743 4.17474i 0.620385 0.715962i
\(35\) −2.00950 + 2.31908i −0.339667 + 0.391996i
\(36\) 0.251937 0.0739754i 0.0419895 0.0123292i
\(37\) −1.89888 4.15797i −0.312174 0.683566i 0.686893 0.726759i \(-0.258974\pi\)
−0.999067 + 0.0431929i \(0.986247\pi\)
\(38\) 2.41280 1.55061i 0.391408 0.251543i
\(39\) 0.377083 + 0.110722i 0.0603816 + 0.0177296i
\(40\) 0.436705 + 3.03735i 0.0690491 + 0.480247i
\(41\) 1.02386 2.24195i 0.159900 0.350133i −0.812676 0.582715i \(-0.801990\pi\)
0.972577 + 0.232582i \(0.0747175\pi\)
\(42\) 0.235462 1.63768i 0.0363326 0.252699i
\(43\) 1.86556 + 1.19892i 0.284496 + 0.182834i 0.675104 0.737723i \(-0.264099\pi\)
−0.390608 + 0.920557i \(0.627735\pi\)
\(44\) −1.60338 1.85040i −0.241718 0.278958i
\(45\) 0.805728 0.120111
\(46\) 3.42453 3.35747i 0.504920 0.495032i
\(47\) 11.6979 1.70631 0.853157 0.521654i \(-0.174685\pi\)
0.853157 + 0.521654i \(0.174685\pi\)
\(48\) −1.08348 1.25040i −0.156387 0.180480i
\(49\) 0.841254 + 0.540641i 0.120179 + 0.0772344i
\(50\) −0.628493 + 4.37126i −0.0888823 + 0.618190i
\(51\) −3.79669 + 8.31359i −0.531643 + 1.16414i
\(52\) 0.0338045 + 0.235115i 0.00468784 + 0.0326046i
\(53\) 4.42280 + 1.29865i 0.607518 + 0.178383i 0.571001 0.820950i \(-0.306555\pi\)
0.0365174 + 0.999333i \(0.488374\pi\)
\(54\) −4.54107 + 2.91837i −0.617962 + 0.397140i
\(55\) −3.12109 6.83424i −0.420848 0.921529i
\(56\) 0.959493 0.281733i 0.128218 0.0376481i
\(57\) −3.10753 + 3.58628i −0.411602 + 0.475014i
\(58\) −2.04962 + 2.36539i −0.269128 + 0.310591i
\(59\) −7.23756 + 2.12514i −0.942250 + 0.276670i −0.716557 0.697529i \(-0.754283\pi\)
−0.225693 + 0.974198i \(0.572465\pi\)
\(60\) −2.10907 4.61823i −0.272280 0.596210i
\(61\) 10.8606 6.97967i 1.39055 0.893655i 0.390912 0.920428i \(-0.372160\pi\)
0.999642 + 0.0267735i \(0.00852329\pi\)
\(62\) −5.28041 1.55047i −0.670612 0.196909i
\(63\) −0.0373681 0.259901i −0.00470793 0.0327444i
\(64\) 0.415415 0.909632i 0.0519269 0.113704i
\(65\) −0.103732 + 0.721471i −0.0128664 + 0.0894875i
\(66\) 3.40788 + 2.19011i 0.419481 + 0.269584i
\(67\) −9.60399 11.0836i −1.17331 1.35408i −0.922479 0.386047i \(-0.873840\pi\)
−0.250835 0.968030i \(-0.580705\pi\)
\(68\) −5.52397 −0.669880
\(69\) −3.87141 + 6.92625i −0.466064 + 0.833823i
\(70\) 3.06858 0.366766
\(71\) −3.38848 3.91051i −0.402138 0.464092i 0.518175 0.855275i \(-0.326612\pi\)
−0.920313 + 0.391182i \(0.872066\pi\)
\(72\) −0.220891 0.141958i −0.0260322 0.0167299i
\(73\) −1.06964 + 7.43953i −0.125192 + 0.870731i 0.826338 + 0.563175i \(0.190420\pi\)
−0.951530 + 0.307556i \(0.900489\pi\)
\(74\) −1.89888 + 4.15797i −0.220740 + 0.483354i
\(75\) −1.03985 7.23233i −0.120072 0.835117i
\(76\) −2.75192 0.808038i −0.315667 0.0926883i
\(77\) −2.05975 + 1.32372i −0.234730 + 0.150852i
\(78\) −0.163259 0.357488i −0.0184855 0.0404775i
\(79\) 3.12023 0.916182i 0.351053 0.103078i −0.101452 0.994840i \(-0.532349\pi\)
0.452505 + 0.891762i \(0.350531\pi\)
\(80\) 2.00950 2.31908i 0.224668 0.259281i
\(81\) 5.33275 6.15432i 0.592528 0.683814i
\(82\) −2.36484 + 0.694379i −0.261153 + 0.0766813i
\(83\) −5.51635 12.0791i −0.605498 1.32586i −0.925611 0.378477i \(-0.876448\pi\)
0.320113 0.947380i \(-0.396279\pi\)
\(84\) −1.39187 + 0.894499i −0.151865 + 0.0975979i
\(85\) −16.2642 4.77559i −1.76410 0.517985i
\(86\) −0.315597 2.19503i −0.0340317 0.236696i
\(87\) 2.15119 4.71044i 0.230631 0.505012i
\(88\) −0.348447 + 2.42350i −0.0371446 + 0.258346i
\(89\) 10.5002 + 6.74806i 1.11302 + 0.715293i 0.961949 0.273230i \(-0.0880919\pi\)
0.151070 + 0.988523i \(0.451728\pi\)
\(90\) −0.527640 0.608929i −0.0556181 0.0641867i
\(91\) 0.237533 0.0249002
\(92\) −4.78000 0.389415i −0.498349 0.0405993i
\(93\) 9.10535 0.944181
\(94\) −7.66050 8.84068i −0.790120 0.911847i
\(95\) −7.40389 4.75819i −0.759623 0.488180i
\(96\) −0.235462 + 1.63768i −0.0240318 + 0.167145i
\(97\) 1.83545 4.01907i 0.186361 0.408074i −0.793273 0.608867i \(-0.791624\pi\)
0.979634 + 0.200792i \(0.0643517\pi\)
\(98\) −0.142315 0.989821i −0.0143760 0.0999871i
\(99\) 0.616849 + 0.181123i 0.0619957 + 0.0182036i
\(100\) 3.71515 2.38758i 0.371515 0.238758i
\(101\) −0.0835059 0.182852i −0.00830914 0.0181945i 0.905432 0.424491i \(-0.139547\pi\)
−0.913741 + 0.406297i \(0.866820\pi\)
\(102\) 8.76930 2.57490i 0.868290 0.254953i
\(103\) 1.05203 1.21411i 0.103660 0.119630i −0.701549 0.712621i \(-0.747508\pi\)
0.805209 + 0.592992i \(0.202053\pi\)
\(104\) 0.155551 0.179515i 0.0152530 0.0176029i
\(105\) −4.87137 + 1.43036i −0.475397 + 0.139589i
\(106\) −1.91486 4.19296i −0.185988 0.407257i
\(107\) −3.62202 + 2.32773i −0.350154 + 0.225031i −0.703880 0.710319i \(-0.748551\pi\)
0.353726 + 0.935349i \(0.384915\pi\)
\(108\) 5.17933 + 1.52079i 0.498381 + 0.146338i
\(109\) −0.631961 4.39539i −0.0605309 0.421002i −0.997445 0.0714414i \(-0.977240\pi\)
0.936914 0.349560i \(-0.113669\pi\)
\(110\) −3.12109 + 6.83424i −0.297585 + 0.651620i
\(111\) 1.07631 7.48589i 0.102159 0.710530i
\(112\) −0.841254 0.540641i −0.0794910 0.0510858i
\(113\) 11.6274 + 13.4187i 1.09381 + 1.26233i 0.962587 + 0.270974i \(0.0873458\pi\)
0.131226 + 0.991353i \(0.458109\pi\)
\(114\) 4.74532 0.444440
\(115\) −13.7370 5.27895i −1.28098 0.492265i
\(116\) 3.12986 0.290600
\(117\) −0.0408436 0.0471360i −0.00377599 0.00435772i
\(118\) 6.34567 + 4.07811i 0.584166 + 0.375421i
\(119\) −0.786144 + 5.46775i −0.0720657 + 0.501228i
\(120\) −2.10907 + 4.61823i −0.192531 + 0.421584i
\(121\) 0.712317 + 4.95427i 0.0647561 + 0.450389i
\(122\) −12.3870 3.63716i −1.12147 0.329293i
\(123\) 3.43050 2.20465i 0.309318 0.198787i
\(124\) 2.28617 + 5.00600i 0.205304 + 0.449552i
\(125\) −1.71884 + 0.504696i −0.153737 + 0.0451414i
\(126\) −0.171949 + 0.198440i −0.0153184 + 0.0176784i
\(127\) 6.89139 7.95309i 0.611512 0.705723i −0.362560 0.931961i \(-0.618097\pi\)
0.974072 + 0.226238i \(0.0726426\pi\)
\(128\) −0.959493 + 0.281733i −0.0848080 + 0.0249019i
\(129\) 1.52418 + 3.33749i 0.134197 + 0.293850i
\(130\) 0.613182 0.394068i 0.0537796 0.0345620i
\(131\) −18.4629 5.42119i −1.61311 0.473652i −0.653954 0.756534i \(-0.726891\pi\)
−0.959155 + 0.282882i \(0.908709\pi\)
\(132\) −0.576512 4.00973i −0.0501789 0.349002i
\(133\) −1.19145 + 2.60892i −0.103312 + 0.226222i
\(134\) −2.08715 + 14.5164i −0.180302 + 1.25403i
\(135\) 13.9347 + 8.95527i 1.19931 + 0.770747i
\(136\) 3.61743 + 4.17474i 0.310192 + 0.357981i
\(137\) 6.53221 0.558085 0.279042 0.960279i \(-0.409983\pi\)
0.279042 + 0.960279i \(0.409983\pi\)
\(138\) 7.76975 1.60991i 0.661405 0.137045i
\(139\) 11.3443 0.962209 0.481105 0.876663i \(-0.340236\pi\)
0.481105 + 0.876663i \(0.340236\pi\)
\(140\) −2.00950 2.31908i −0.169833 0.195998i
\(141\) 16.2819 + 10.4638i 1.37119 + 0.881208i
\(142\) −0.736387 + 5.12168i −0.0617962 + 0.429802i
\(143\) −0.241598 + 0.529025i −0.0202034 + 0.0442393i
\(144\) 0.0373681 + 0.259901i 0.00311401 + 0.0216584i
\(145\) 9.21520 + 2.70583i 0.765280 + 0.224707i
\(146\) 6.32289 4.06347i 0.523286 0.336295i
\(147\) 0.687311 + 1.50500i 0.0566885 + 0.124130i
\(148\) 4.38589 1.28781i 0.360518 0.105858i
\(149\) −13.8634 + 15.9992i −1.13574 + 1.31071i −0.191479 + 0.981497i \(0.561328\pi\)
−0.944256 + 0.329212i \(0.893217\pi\)
\(150\) −4.78487 + 5.52204i −0.390683 + 0.450872i
\(151\) −3.04307 + 0.893525i −0.247641 + 0.0727140i −0.403197 0.915113i \(-0.632101\pi\)
0.155556 + 0.987827i \(0.450283\pi\)
\(152\) 1.19145 + 2.60892i 0.0966396 + 0.211611i
\(153\) 1.22019 0.784171i 0.0986469 0.0633965i
\(154\) 2.34925 + 0.689801i 0.189308 + 0.0555857i
\(155\) 2.40333 + 16.7155i 0.193040 + 1.34262i
\(156\) −0.163259 + 0.357488i −0.0130712 + 0.0286219i
\(157\) 0.409310 2.84682i 0.0326665 0.227201i −0.966948 0.254975i \(-0.917933\pi\)
0.999614 + 0.0277741i \(0.00884192\pi\)
\(158\) −2.73572 1.75814i −0.217642 0.139870i
\(159\) 4.99431 + 5.76374i 0.396075 + 0.457094i
\(160\) −3.06858 −0.242593
\(161\) −1.06572 + 4.67592i −0.0839901 + 0.368514i
\(162\) −8.14334 −0.639801
\(163\) 2.77191 + 3.19895i 0.217113 + 0.250561i 0.853850 0.520520i \(-0.174262\pi\)
−0.636737 + 0.771081i \(0.719716\pi\)
\(164\) 2.07342 + 1.33250i 0.161907 + 0.104051i
\(165\) 1.76907 12.3042i 0.137722 0.957879i
\(166\) −5.51635 + 12.0791i −0.428152 + 0.937522i
\(167\) −1.85731 12.9178i −0.143723 0.999613i −0.926227 0.376967i \(-0.876967\pi\)
0.782504 0.622646i \(-0.213942\pi\)
\(168\) 1.58750 + 0.466131i 0.122478 + 0.0359628i
\(169\) −10.8888 + 6.99783i −0.837602 + 0.538294i
\(170\) 7.04161 + 15.4190i 0.540067 + 1.18258i
\(171\) 0.722582 0.212169i 0.0552572 0.0162250i
\(172\) −1.45222 + 1.67595i −0.110731 + 0.127790i
\(173\) 9.06703 10.4639i 0.689353 0.795556i −0.297920 0.954591i \(-0.596293\pi\)
0.987273 + 0.159035i \(0.0508382\pi\)
\(174\) −4.96864 + 1.45893i −0.376672 + 0.110601i
\(175\) −1.83456 4.01713i −0.138680 0.303666i
\(176\) 2.05975 1.32372i 0.155259 0.0997790i
\(177\) −11.9747 3.51608i −0.900071 0.264285i
\(178\) −1.77632 12.3546i −0.133141 0.926013i
\(179\) −6.70477 + 14.6814i −0.501138 + 1.09734i 0.474960 + 0.880008i \(0.342463\pi\)
−0.976098 + 0.217332i \(0.930265\pi\)
\(180\) −0.114667 + 0.797527i −0.00854678 + 0.0594442i
\(181\) 17.4817 + 11.2348i 1.29941 + 0.835078i 0.993147 0.116870i \(-0.0372860\pi\)
0.306260 + 0.951948i \(0.400922\pi\)
\(182\) −0.155551 0.179515i −0.0115302 0.0133066i
\(183\) 21.3598 1.57896
\(184\) 2.83593 + 3.86749i 0.209068 + 0.285115i
\(185\) 14.0266 1.03126
\(186\) −5.96274 6.88137i −0.437209 0.504566i
\(187\) −11.3780 7.31218i −0.832040 0.534720i
\(188\) −1.66479 + 11.5788i −0.121417 + 0.844473i
\(189\) 2.24240 4.91018i 0.163111 0.357163i
\(190\) 1.25252 + 8.71143i 0.0908670 + 0.631994i
\(191\) −0.0219530 0.00644597i −0.00158846 0.000466414i 0.280938 0.959726i \(-0.409354\pi\)
−0.282527 + 0.959259i \(0.591173\pi\)
\(192\) 1.39187 0.894499i 0.100449 0.0645549i
\(193\) 8.63448 + 18.9069i 0.621524 + 1.36095i 0.914406 + 0.404798i \(0.132658\pi\)
−0.292882 + 0.956148i \(0.594614\pi\)
\(194\) −4.23937 + 1.24479i −0.304369 + 0.0893708i
\(195\) −0.789737 + 0.911405i −0.0565542 + 0.0652671i
\(196\) −0.654861 + 0.755750i −0.0467758 + 0.0539821i
\(197\) 20.2926 5.95846i 1.44579 0.424523i 0.537643 0.843172i \(-0.319315\pi\)
0.908148 + 0.418650i \(0.137496\pi\)
\(198\) −0.267066 0.584794i −0.0189796 0.0415595i
\(199\) 6.23456 4.00671i 0.441956 0.284028i −0.300677 0.953726i \(-0.597213\pi\)
0.742634 + 0.669698i \(0.233576\pi\)
\(200\) −4.23733 1.24419i −0.299624 0.0879776i
\(201\) −3.45322 24.0177i −0.243571 1.69408i
\(202\) −0.0835059 + 0.182852i −0.00587545 + 0.0128654i
\(203\) 0.445425 3.09800i 0.0312627 0.217437i
\(204\) −7.68864 4.94119i −0.538313 0.345953i
\(205\) 4.95275 + 5.71578i 0.345915 + 0.399207i
\(206\) −1.60650 −0.111930
\(207\) 1.11114 0.592540i 0.0772294 0.0411844i
\(208\) −0.237533 −0.0164700
\(209\) −4.59865 5.30712i −0.318095 0.367101i
\(210\) 4.27107 + 2.74485i 0.294732 + 0.189412i
\(211\) 3.64880 25.3779i 0.251193 1.74709i −0.339878 0.940470i \(-0.610386\pi\)
0.591071 0.806619i \(-0.298705\pi\)
\(212\) −1.91486 + 4.19296i −0.131513 + 0.287974i
\(213\) −1.21836 8.47391i −0.0834809 0.580623i
\(214\) 4.13111 + 1.21300i 0.282397 + 0.0829191i
\(215\) −5.72464 + 3.67900i −0.390417 + 0.250906i
\(216\) −2.24240 4.91018i −0.152576 0.334095i
\(217\) 5.28041 1.55047i 0.358457 0.105253i
\(218\) −2.90796 + 3.35597i −0.196952 + 0.227295i
\(219\) −8.14345 + 9.39805i −0.550284 + 0.635061i
\(220\) 7.20886 2.11671i 0.486021 0.142709i
\(221\) 0.545077 + 1.19355i 0.0366658 + 0.0802870i
\(222\) −6.36229 + 4.08880i −0.427009 + 0.274422i
\(223\) −14.1681 4.16014i −0.948768 0.278583i −0.229494 0.973310i \(-0.573707\pi\)
−0.719274 + 0.694727i \(0.755525\pi\)
\(224\) 0.142315 + 0.989821i 0.00950881 + 0.0661352i
\(225\) −0.481707 + 1.05479i −0.0321138 + 0.0703194i
\(226\) 2.52687 17.5748i 0.168085 1.16906i
\(227\) −18.3410 11.7870i −1.21733 0.782332i −0.235462 0.971884i \(-0.575660\pi\)
−0.981871 + 0.189551i \(0.939297\pi\)
\(228\) −3.10753 3.58628i −0.205801 0.237507i
\(229\) −1.55495 −0.102754 −0.0513771 0.998679i \(-0.516361\pi\)
−0.0513771 + 0.998679i \(0.516361\pi\)
\(230\) 5.00627 + 13.8387i 0.330103 + 0.912498i
\(231\) −4.05096 −0.266534
\(232\) −2.04962 2.36539i −0.134564 0.155295i
\(233\) −21.0256 13.5123i −1.37743 0.885223i −0.378253 0.925702i \(-0.623475\pi\)
−0.999180 + 0.0404791i \(0.987112\pi\)
\(234\) −0.00887615 + 0.0617350i −0.000580252 + 0.00403574i
\(235\) −14.9117 + 32.6522i −0.972735 + 2.12999i
\(236\) −1.07350 7.46633i −0.0698787 0.486017i
\(237\) 5.16247 + 1.51584i 0.335339 + 0.0984643i
\(238\) 4.64706 2.98649i 0.301224 0.193585i
\(239\) 5.09292 + 11.1519i 0.329434 + 0.721359i 0.999786 0.0206838i \(-0.00658433\pi\)
−0.670352 + 0.742043i \(0.733857\pi\)
\(240\) 4.87137 1.43036i 0.314446 0.0923296i
\(241\) −5.79960 + 6.69309i −0.373585 + 0.431140i −0.911145 0.412085i \(-0.864801\pi\)
0.537560 + 0.843225i \(0.319346\pi\)
\(242\) 3.27772 3.78269i 0.210700 0.243161i
\(243\) −2.61046 + 0.766499i −0.167461 + 0.0491709i
\(244\) 5.36300 + 11.7433i 0.343331 + 0.751790i
\(245\) −2.58146 + 1.65900i −0.164923 + 0.105990i
\(246\) −3.91266 1.14886i −0.249462 0.0732488i
\(247\) 0.0969547 + 0.674335i 0.00616908 + 0.0429069i
\(248\) 2.28617 5.00600i 0.145172 0.317882i
\(249\) 3.12674 21.7469i 0.198149 1.37816i
\(250\) 1.50702 + 0.968504i 0.0953124 + 0.0612536i
\(251\) 6.81567 + 7.86571i 0.430201 + 0.496479i 0.928918 0.370286i \(-0.120740\pi\)
−0.498716 + 0.866765i \(0.666195\pi\)
\(252\) 0.262573 0.0165406
\(253\) −9.33010 7.12946i −0.586578 0.448225i
\(254\) −10.5235 −0.660300
\(255\) −18.3658 21.1953i −1.15011 1.32730i
\(256\) 0.841254 + 0.540641i 0.0525783 + 0.0337901i
\(257\) 0.333818 2.32176i 0.0208230 0.144827i −0.976758 0.214347i \(-0.931238\pi\)
0.997581 + 0.0695198i \(0.0221467\pi\)
\(258\) 1.52418 3.33749i 0.0948913 0.207783i
\(259\) −0.650528 4.52452i −0.0404218 0.281140i
\(260\) −0.699365 0.205352i −0.0433728 0.0127354i
\(261\) −0.691357 + 0.444308i −0.0427939 + 0.0275020i
\(262\) 7.99355 + 17.5034i 0.493843 + 1.08137i
\(263\) −24.4773 + 7.18718i −1.50933 + 0.443181i −0.928653 0.370950i \(-0.879032\pi\)
−0.580682 + 0.814131i \(0.697214\pi\)
\(264\) −2.65281 + 3.06151i −0.163269 + 0.188423i
\(265\) −9.26280 + 10.6898i −0.569009 + 0.656672i
\(266\) 2.75192 0.808038i 0.168731 0.0495440i
\(267\) 8.57875 + 18.7848i 0.525011 + 1.14961i
\(268\) 12.3376 7.92888i 0.753637 0.484333i
\(269\) −0.343815 0.100953i −0.0209628 0.00615523i 0.271234 0.962513i \(-0.412568\pi\)
−0.292197 + 0.956358i \(0.594386\pi\)
\(270\) −2.35733 16.3956i −0.143462 0.997803i
\(271\) −9.65746 + 21.1469i −0.586649 + 1.28458i 0.350797 + 0.936452i \(0.385911\pi\)
−0.937446 + 0.348131i \(0.886817\pi\)
\(272\) 0.786144 5.46775i 0.0476670 0.331531i
\(273\) 0.330615 + 0.212473i 0.0200097 + 0.0128595i
\(274\) −4.27769 4.93672i −0.258425 0.298238i
\(275\) 10.8128 0.652034
\(276\) −6.30479 4.81772i −0.379504 0.289993i
\(277\) −7.26885 −0.436743 −0.218371 0.975866i \(-0.570074\pi\)
−0.218371 + 0.975866i \(0.570074\pi\)
\(278\) −7.42892 8.57343i −0.445557 0.514200i
\(279\) −1.21563 0.781241i −0.0727781 0.0467717i
\(280\) −0.436705 + 3.03735i −0.0260981 + 0.181516i
\(281\) 5.86253 12.8372i 0.349729 0.765801i −0.650252 0.759719i \(-0.725337\pi\)
0.999982 0.00608208i \(-0.00193600\pi\)
\(282\) −2.75442 19.1574i −0.164023 1.14081i
\(283\) −3.31697 0.973951i −0.197174 0.0578954i 0.181655 0.983362i \(-0.441855\pi\)
−0.378828 + 0.925467i \(0.623673\pi\)
\(284\) 4.35294 2.79746i 0.258299 0.165999i
\(285\) −6.04904 13.2455i −0.358314 0.784598i
\(286\) 0.558023 0.163850i 0.0329966 0.00968868i
\(287\) 1.61402 1.86268i 0.0952725 0.109950i
\(288\) 0.171949 0.198440i 0.0101322 0.0116932i
\(289\) −12.9669 + 3.80742i −0.762757 + 0.223966i
\(290\) −3.98974 8.73632i −0.234286 0.513014i
\(291\) 6.14975 3.95220i 0.360505 0.231682i
\(292\) −7.21158 2.11751i −0.422026 0.123918i
\(293\) −3.83532 26.6753i −0.224062 1.55839i −0.722445 0.691428i \(-0.756982\pi\)
0.498383 0.866957i \(-0.333927\pi\)
\(294\) 0.687311 1.50500i 0.0400848 0.0877735i
\(295\) 3.29411 22.9111i 0.191791 1.33393i
\(296\) −3.84541 2.47129i −0.223510 0.143641i
\(297\) 8.65500 + 9.98840i 0.502214 + 0.579586i
\(298\) 21.1700 1.22635
\(299\) 0.387525 + 1.07123i 0.0224112 + 0.0619507i
\(300\) 7.30670 0.421852
\(301\) 1.45222 + 1.67595i 0.0837045 + 0.0966001i
\(302\) 2.66807 + 1.71466i 0.153530 + 0.0986677i
\(303\) 0.0473322 0.329202i 0.00271916 0.0189122i
\(304\) 1.19145 2.60892i 0.0683345 0.149632i
\(305\) 5.63786 + 39.2122i 0.322823 + 2.24528i
\(306\) −1.39169 0.408638i −0.0795579 0.0233603i
\(307\) 8.05152 5.17440i 0.459524 0.295318i −0.290324 0.956929i \(-0.593763\pi\)
0.749848 + 0.661610i \(0.230127\pi\)
\(308\) −1.01711 2.22716i −0.0579553 0.126904i
\(309\) 2.55031 0.748839i 0.145082 0.0425999i
\(310\) 11.0589 12.7627i 0.628104 0.724871i
\(311\) 2.34472 2.70595i 0.132957 0.153440i −0.685367 0.728198i \(-0.740358\pi\)
0.818324 + 0.574758i \(0.194904\pi\)
\(312\) 0.377083 0.110722i 0.0213481 0.00626838i
\(313\) 8.15096 + 17.8481i 0.460719 + 1.00883i 0.987323 + 0.158724i \(0.0507380\pi\)
−0.526604 + 0.850111i \(0.676535\pi\)
\(314\) −2.41952 + 1.55493i −0.136541 + 0.0877499i
\(315\) 0.773091 + 0.227000i 0.0435587 + 0.0127900i
\(316\) 0.462802 + 3.21886i 0.0260346 + 0.181075i
\(317\) 9.62577 21.0775i 0.540637 1.18383i −0.420382 0.907347i \(-0.638104\pi\)
0.961019 0.276483i \(-0.0891688\pi\)
\(318\) 1.08537 7.54890i 0.0608644 0.423321i
\(319\) 6.44671 + 4.14305i 0.360947 + 0.231966i
\(320\) 2.00950 + 2.31908i 0.112334 + 0.129641i
\(321\) −7.12354 −0.397597
\(322\) 4.23172 2.25666i 0.235825 0.125759i
\(323\) −15.8433 −0.881546
\(324\) 5.33275 + 6.15432i 0.296264 + 0.341907i
\(325\) −0.882472 0.567130i −0.0489507 0.0314587i
\(326\) 0.602393 4.18974i 0.0333635 0.232048i
\(327\) 3.05206 6.68309i 0.168780 0.369576i
\(328\) −0.350760 2.43959i −0.0193675 0.134704i
\(329\) 11.2241 + 3.29568i 0.618802 + 0.181697i
\(330\) −10.4574 + 6.72055i −0.575660 + 0.369954i
\(331\) 5.68738 + 12.4536i 0.312607 + 0.684513i 0.999091 0.0426316i \(-0.0135742\pi\)
−0.686484 + 0.727145i \(0.740847\pi\)
\(332\) 12.7412 3.74116i 0.699266 0.205323i
\(333\) −0.785987 + 0.907077i −0.0430718 + 0.0497075i
\(334\) −8.54638 + 9.86305i −0.467637 + 0.539682i
\(335\) 43.1800 12.6788i 2.35918 0.692717i
\(336\) −0.687311 1.50500i −0.0374959 0.0821046i
\(337\) −4.02364 + 2.58584i −0.219182 + 0.140860i −0.645625 0.763655i \(-0.723403\pi\)
0.426443 + 0.904515i \(0.359767\pi\)
\(338\) 12.4193 + 3.64663i 0.675519 + 0.198350i
\(339\) 4.18075 + 29.0778i 0.227067 + 1.57929i
\(340\) 7.04161 15.4190i 0.381885 0.836211i
\(341\) −1.91762 + 13.3373i −0.103845 + 0.722257i
\(342\) −0.633537 0.407150i −0.0342578 0.0220161i
\(343\) 0.654861 + 0.755750i 0.0353592 + 0.0408066i
\(344\) 2.21760 0.119565
\(345\) −14.3981 19.6354i −0.775167 1.05713i
\(346\) −13.8457 −0.744351
\(347\) −1.84818 2.13291i −0.0992155 0.114501i 0.703970 0.710229i \(-0.251409\pi\)
−0.803186 + 0.595729i \(0.796863\pi\)
\(348\) 4.35635 + 2.79966i 0.233525 + 0.150077i
\(349\) −4.39316 + 30.5551i −0.235160 + 1.63558i 0.440066 + 0.897965i \(0.354955\pi\)
−0.675227 + 0.737610i \(0.735954\pi\)
\(350\) −1.83456 + 4.01713i −0.0980614 + 0.214725i
\(351\) −0.182476 1.26915i −0.00973985 0.0677421i
\(352\) −2.34925 0.689801i −0.125215 0.0367665i
\(353\) −14.7218 + 9.46113i −0.783562 + 0.503565i −0.870214 0.492674i \(-0.836020\pi\)
0.0866518 + 0.996239i \(0.472383\pi\)
\(354\) 5.18446 + 11.3524i 0.275551 + 0.603373i
\(355\) 15.2348 4.47333i 0.808577 0.237420i
\(356\) −8.17371 + 9.43297i −0.433206 + 0.499946i
\(357\) −5.98511 + 6.90718i −0.316765 + 0.365567i
\(358\) 15.4862 4.54715i 0.818469 0.240324i
\(359\) −8.84754 19.3734i −0.466955 1.02249i −0.985847 0.167649i \(-0.946382\pi\)
0.518891 0.854840i \(-0.326345\pi\)
\(360\) 0.677822 0.435610i 0.0357243 0.0229586i
\(361\) 10.3376 + 3.03538i 0.544082 + 0.159757i
\(362\) −2.95738 20.5691i −0.155437 1.08109i
\(363\) −3.44014 + 7.53287i −0.180561 + 0.395373i
\(364\) −0.0338045 + 0.235115i −0.00177184 + 0.0123234i
\(365\) −19.4023 12.4691i −1.01556 0.652663i
\(366\) −13.9877 16.1427i −0.731148 0.843790i
\(367\) 17.2499 0.900435 0.450218 0.892919i \(-0.351346\pi\)
0.450218 + 0.892919i \(0.351346\pi\)
\(368\) 1.06572 4.67592i 0.0555543 0.243749i
\(369\) −0.647158 −0.0336897
\(370\) −9.18550 10.6006i −0.477531 0.551100i
\(371\) 3.87777 + 2.49209i 0.201324 + 0.129383i
\(372\) −1.29583 + 9.01267i −0.0671855 + 0.467285i
\(373\) 8.41201 18.4197i 0.435557 0.953737i −0.556835 0.830623i \(-0.687985\pi\)
0.992393 0.123114i \(-0.0392882\pi\)
\(374\) 1.92481 + 13.3874i 0.0995297 + 0.692244i
\(375\) −2.84384 0.835028i −0.146855 0.0431207i
\(376\) 9.84090 6.32436i 0.507506 0.326154i
\(377\) −0.308838 0.676261i −0.0159060 0.0348292i
\(378\) −5.17933 + 1.52079i −0.266396 + 0.0782209i
\(379\) −20.1266 + 23.2273i −1.03383 + 1.19311i −0.0529312 + 0.998598i \(0.516856\pi\)
−0.980901 + 0.194508i \(0.937689\pi\)
\(380\) 5.76344 6.65136i 0.295658 0.341208i
\(381\) 16.7060 4.90531i 0.855872 0.251307i
\(382\) 0.00950459 + 0.0208122i 0.000486297 + 0.00106484i
\(383\) 14.4563 9.29051i 0.738683 0.474723i −0.116407 0.993202i \(-0.537138\pi\)
0.855091 + 0.518479i \(0.173501\pi\)
\(384\) −1.58750 0.466131i −0.0810116 0.0237872i
\(385\) −1.06924 7.43672i −0.0544935 0.379010i
\(386\) 8.63448 18.9069i 0.439484 0.962335i
\(387\) 0.0828674 0.576355i 0.00421239 0.0292978i
\(388\) 3.71695 + 2.38874i 0.188699 + 0.121270i
\(389\) 11.1067 + 12.8178i 0.563131 + 0.649888i 0.963892 0.266295i \(-0.0857995\pi\)
−0.400761 + 0.916183i \(0.631254\pi\)
\(390\) 1.20596 0.0610662
\(391\) −25.9410 + 5.37505i −1.31189 + 0.271828i
\(392\) 1.00000 0.0505076
\(393\) −20.8486 24.0606i −1.05167 1.21370i
\(394\) −17.7920 11.4342i −0.896346 0.576047i
\(395\) −1.42015 + 9.87733i −0.0714553 + 0.496982i
\(396\) −0.267066 + 0.584794i −0.0134206 + 0.0293870i
\(397\) −1.03987 7.23243i −0.0521894 0.362985i −0.999135 0.0415905i \(-0.986758\pi\)
0.946945 0.321395i \(-0.104152\pi\)
\(398\) −7.11084 2.08793i −0.356434 0.104658i
\(399\) −3.99202 + 2.56552i −0.199851 + 0.128436i
\(400\) 1.83456 + 4.01713i 0.0917281 + 0.200856i
\(401\) −34.4926 + 10.1280i −1.72248 + 0.505766i −0.985431 0.170073i \(-0.945600\pi\)
−0.737049 + 0.675839i \(0.763781\pi\)
\(402\) −15.8900 + 18.3380i −0.792520 + 0.914616i
\(403\) 0.856049 0.987933i 0.0426428 0.0492124i
\(404\) 0.192875 0.0566333i 0.00959590 0.00281761i
\(405\) 10.3806 + 22.7304i 0.515816 + 1.12948i
\(406\) −2.63300 + 1.69213i −0.130674 + 0.0839790i
\(407\) 10.7385 + 3.15311i 0.532288 + 0.156294i
\(408\) 1.30069 + 9.04648i 0.0643936 + 0.447868i
\(409\) −0.0542109 + 0.118705i −0.00268056 + 0.00586961i −0.910968 0.412478i \(-0.864663\pi\)
0.908287 + 0.418348i \(0.137391\pi\)
\(410\) 1.07634 7.48608i 0.0531564 0.369711i
\(411\) 9.09198 + 5.84306i 0.448474 + 0.288217i
\(412\) 1.05203 + 1.21411i 0.0518299 + 0.0598149i
\(413\) −7.54311 −0.371172
\(414\) −1.17545 0.451710i −0.0577703 0.0222004i
\(415\) 40.7482 2.00025
\(416\) 0.155551 + 0.179515i 0.00762652 + 0.00880147i
\(417\) 15.7897 + 10.1475i 0.773227 + 0.496923i
\(418\) −0.999382 + 6.95085i −0.0488814 + 0.339977i
\(419\) −13.1220 + 28.7331i −0.641049 + 1.40370i 0.258125 + 0.966112i \(0.416895\pi\)
−0.899174 + 0.437591i \(0.855832\pi\)
\(420\) −0.722536 5.02535i −0.0352562 0.245212i
\(421\) −36.9358 10.8453i −1.80014 0.528570i −0.802466 0.596697i \(-0.796479\pi\)
−0.997677 + 0.0681275i \(0.978298\pi\)
\(422\) −21.5688 + 13.8614i −1.04995 + 0.674764i
\(423\) −1.27597 2.79399i −0.0620398 0.135848i
\(424\) 4.42280 1.29865i 0.214790 0.0630681i
\(425\) 15.9754 18.4365i 0.774919 0.894304i
\(426\) −5.60629 + 6.47001i −0.271626 + 0.313473i
\(427\) 12.3870 3.63716i 0.599451 0.176015i
\(428\) −1.78857 3.91643i −0.0864539 0.189308i
\(429\) −0.809485 + 0.520224i −0.0390823 + 0.0251167i
\(430\) 6.52924 + 1.91716i 0.314868 + 0.0924536i
\(431\) −3.26641 22.7184i −0.157337 1.09430i −0.903515 0.428557i \(-0.859022\pi\)
0.746177 0.665747i \(-0.231887\pi\)
\(432\) −2.24240 + 4.91018i −0.107888 + 0.236241i
\(433\) −0.782112 + 5.43971i −0.0375859 + 0.261416i −0.999946 0.0103607i \(-0.996702\pi\)
0.962360 + 0.271776i \(0.0876111\pi\)
\(434\) −4.62969 2.97532i −0.222232 0.142820i
\(435\) 10.4060 + 12.0091i 0.498929 + 0.575794i
\(436\) 4.44058 0.212665
\(437\) −13.7095 1.11688i −0.655815 0.0534277i
\(438\) 12.4354 0.594186
\(439\) 2.33201 + 2.69128i 0.111301 + 0.128448i 0.808666 0.588268i \(-0.200190\pi\)
−0.697365 + 0.716716i \(0.745644\pi\)
\(440\) −6.32050 4.06194i −0.301318 0.193645i
\(441\) 0.0373681 0.259901i 0.00177943 0.0123762i
\(442\) 0.545077 1.19355i 0.0259267 0.0567715i
\(443\) −2.58559 17.9832i −0.122845 0.854408i −0.954307 0.298827i \(-0.903405\pi\)
0.831462 0.555581i \(-0.187504\pi\)
\(444\) 7.25652 + 2.13071i 0.344379 + 0.101119i
\(445\) −32.2207 + 20.7070i −1.52741 + 0.981606i
\(446\) 6.13413 + 13.4319i 0.290459 + 0.636017i
\(447\) −33.6074 + 9.86801i −1.58957 + 0.466741i
\(448\) 0.654861 0.755750i 0.0309393 0.0357058i
\(449\) 22.9649 26.5029i 1.08378 1.25075i 0.117552 0.993067i \(-0.462495\pi\)
0.966229 0.257684i \(-0.0829592\pi\)
\(450\) 1.11261 0.326691i 0.0524489 0.0154004i
\(451\) 2.50685 + 5.48924i 0.118043 + 0.258478i
\(452\) −14.9369 + 9.59935i −0.702572 + 0.451516i
\(453\) −5.03481 1.47835i −0.236556 0.0694591i
\(454\) 3.10274 + 21.5800i 0.145619 + 1.01280i
\(455\) −0.302792 + 0.663022i −0.0141951 + 0.0310829i
\(456\) −0.675330 + 4.69702i −0.0316252 + 0.219958i
\(457\) −12.2040 7.84306i −0.570881 0.366883i 0.223128 0.974789i \(-0.428373\pi\)
−0.794009 + 0.607906i \(0.792010\pi\)
\(458\) 1.01828 + 1.17516i 0.0475810 + 0.0549114i
\(459\) 29.8183 1.39180
\(460\) 7.18020 12.8459i 0.334779 0.598944i
\(461\) 20.0961 0.935969 0.467984 0.883737i \(-0.344980\pi\)
0.467984 + 0.883737i \(0.344980\pi\)
\(462\) 2.65281 + 3.06151i 0.123420 + 0.142434i
\(463\) −22.9485 14.7481i −1.06651 0.685401i −0.115103 0.993354i \(-0.536720\pi\)
−0.951402 + 0.307952i \(0.900356\pi\)
\(464\) −0.445425 + 3.09800i −0.0206784 + 0.143821i
\(465\) −11.6069 + 25.4156i −0.538258 + 1.17862i
\(466\) 3.55690 + 24.7388i 0.164770 + 1.14600i
\(467\) 38.9023 + 11.4227i 1.80018 + 0.528582i 0.997681 0.0680661i \(-0.0216829\pi\)
0.802503 + 0.596648i \(0.203501\pi\)
\(468\) 0.0524688 0.0337197i 0.00242537 0.00155869i
\(469\) −6.09235 13.3404i −0.281319 0.616002i
\(470\) 34.4420 10.1131i 1.58869 0.466481i
\(471\) 3.11618 3.59626i 0.143586 0.165707i
\(472\) −4.93969 + 5.70070i −0.227367 + 0.262396i
\(473\) −5.20968 + 1.52970i −0.239542 + 0.0703357i
\(474\) −2.23511 4.89420i −0.102662 0.224798i
\(475\) 10.6554 6.84784i 0.488905 0.314200i
\(476\) −5.30021 1.55628i −0.242935 0.0713321i
\(477\) −0.172249 1.19802i −0.00788673 0.0548534i
\(478\) 5.09292 11.1519i 0.232945 0.510078i
\(479\) −2.86838 + 19.9500i −0.131059 + 0.911538i 0.813117 + 0.582100i \(0.197769\pi\)
−0.944177 + 0.329439i \(0.893140\pi\)
\(480\) −4.27107 2.74485i −0.194947 0.125285i
\(481\) −0.711031 0.820574i −0.0324202 0.0374149i
\(482\) 8.85623 0.403390
\(483\) −5.66595 + 5.55499i −0.257809 + 0.252761i
\(484\) −5.00522 −0.227510
\(485\) 8.87864 + 10.2465i 0.403158 + 0.465269i
\(486\) 2.28877 + 1.47090i 0.103821 + 0.0667214i
\(487\) 4.09059 28.4507i 0.185362 1.28922i −0.658466 0.752611i \(-0.728794\pi\)
0.843828 0.536613i \(-0.180297\pi\)
\(488\) 5.36300 11.7433i 0.242772 0.531596i
\(489\) 0.996670 + 6.93199i 0.0450710 + 0.313476i
\(490\) 2.94429 + 0.864520i 0.133009 + 0.0390550i
\(491\) 5.65143 3.63195i 0.255045 0.163908i −0.406871 0.913486i \(-0.633380\pi\)
0.661916 + 0.749578i \(0.269744\pi\)
\(492\) 1.69400 + 3.70934i 0.0763713 + 0.167230i
\(493\) 16.5889 4.87095i 0.747127 0.219376i
\(494\) 0.446136 0.514869i 0.0200726 0.0231650i
\(495\) −1.29189 + 1.49092i −0.0580660 + 0.0670117i
\(496\) −5.28041 + 1.55047i −0.237097 + 0.0696180i
\(497\) −2.14950 4.70675i −0.0964183 0.211127i
\(498\) −18.4828 + 11.8782i −0.828234 + 0.532274i
\(499\) −12.7834 3.75355i −0.572265 0.168032i −0.0172187 0.999852i \(-0.505481\pi\)
−0.555046 + 0.831820i \(0.687299\pi\)
\(500\) −0.254943 1.77317i −0.0114014 0.0792984i
\(501\) 8.96988 19.6413i 0.400745 0.877508i
\(502\) 1.48119 10.3019i 0.0661086 0.459796i
\(503\) 2.44800 + 1.57323i 0.109151 + 0.0701470i 0.594077 0.804408i \(-0.297517\pi\)
−0.484927 + 0.874555i \(0.661154\pi\)
\(504\) −0.171949 0.198440i −0.00765921 0.00883920i
\(505\) 0.616841 0.0274490
\(506\) 0.721828 + 11.7200i 0.0320892 + 0.521018i
\(507\) −21.4154 −0.951090
\(508\) 6.89139 + 7.95309i 0.305756 + 0.352861i
\(509\) −6.95376 4.46891i −0.308220 0.198081i 0.377382 0.926058i \(-0.376824\pi\)
−0.685602 + 0.727977i \(0.740461\pi\)
\(510\) −3.99127 + 27.7599i −0.176736 + 1.22923i
\(511\) −3.12227 + 6.83682i −0.138121 + 0.302443i
\(512\) −0.142315 0.989821i −0.00628949 0.0437443i
\(513\) 14.8548 + 4.36177i 0.655857 + 0.192577i
\(514\) −1.97327 + 1.26814i −0.0870373 + 0.0559355i
\(515\) 2.04786 + 4.48419i 0.0902395 + 0.197597i
\(516\) −3.52043 + 1.03369i −0.154978 + 0.0455058i
\(517\) −18.7561 + 21.6457i −0.824894 + 0.951979i
\(518\) −2.99340 + 3.45457i −0.131522 + 0.151785i
\(519\) 21.9801 6.45393i 0.964818 0.283296i
\(520\) 0.302792 + 0.663022i 0.0132783 + 0.0290754i
\(521\) −2.88977 + 1.85714i −0.126603 + 0.0813629i −0.602410 0.798187i \(-0.705793\pi\)
0.475807 + 0.879550i \(0.342156\pi\)
\(522\) 0.788528 + 0.231533i 0.0345129 + 0.0101339i
\(523\) −3.84610 26.7502i −0.168178 1.16971i −0.882646 0.470038i \(-0.844240\pi\)
0.714468 0.699668i \(-0.246669\pi\)
\(524\) 7.99355 17.5034i 0.349200 0.764641i
\(525\) 1.03985 7.23233i 0.0453829 0.315645i
\(526\) 21.4609 + 13.7921i 0.935741 + 0.601364i
\(527\) 19.9079 + 22.9750i 0.867203 + 1.00081i
\(528\) 4.05096 0.176295
\(529\) −22.8262 + 2.82240i −0.992442 + 0.122713i
\(530\) 14.1447 0.614406
\(531\) 1.29703 + 1.49685i 0.0562863 + 0.0649578i
\(532\) −2.41280 1.55061i −0.104608 0.0672276i
\(533\) 0.0833170 0.579483i 0.00360886 0.0251002i
\(534\) 8.57875 18.7848i 0.371239 0.812899i
\(535\) −1.88024 13.0773i −0.0812898 0.565383i
\(536\) −14.0716 4.13181i −0.607802 0.178467i
\(537\) −22.4647 + 14.4372i −0.969422 + 0.623010i
\(538\) 0.148856 + 0.325948i 0.00641762 + 0.0140526i
\(539\) −2.34925 + 0.689801i −0.101189 + 0.0297118i
\(540\) −10.8472 + 12.5184i −0.466790 + 0.538705i
\(541\) −12.4812 + 14.4041i −0.536609 + 0.619280i −0.957710 0.287734i \(-0.907098\pi\)
0.421101 + 0.907014i \(0.361644\pi\)
\(542\) 22.3060 6.54965i 0.958127 0.281331i
\(543\) 14.2827 + 31.2748i 0.612930 + 1.34213i
\(544\) −4.64706 + 2.98649i −0.199241 + 0.128045i
\(545\) 13.0743 + 3.83898i 0.560044 + 0.164444i
\(546\) −0.0559301 0.389002i −0.00239359 0.0166478i
\(547\) −9.87983 + 21.6338i −0.422431 + 0.924995i 0.572064 + 0.820209i \(0.306143\pi\)
−0.994495 + 0.104786i \(0.966584\pi\)
\(548\) −0.929631 + 6.46573i −0.0397119 + 0.276202i
\(549\) −2.85170 1.83267i −0.121707 0.0782166i
\(550\) −7.08085 8.17174i −0.301929 0.348444i
\(551\) 8.97675 0.382423
\(552\) 0.487773 + 7.91978i 0.0207610 + 0.337088i
\(553\) 3.25196 0.138287
\(554\) 4.76008 + 5.49343i 0.202237 + 0.233394i
\(555\) 19.5232 + 12.5468i 0.828715 + 0.532583i
\(556\) −1.61446 + 11.2288i −0.0684683 + 0.476208i
\(557\) −16.0748 + 35.1990i −0.681113 + 1.49143i 0.180347 + 0.983603i \(0.442278\pi\)
−0.861460 + 0.507826i \(0.830449\pi\)
\(558\) 0.205649 + 1.43032i 0.00870581 + 0.0605502i
\(559\) 0.505416 + 0.148403i 0.0213768 + 0.00627680i
\(560\) 2.58146 1.65900i 0.109087 0.0701056i
\(561\) −9.29591 20.3552i −0.392473 0.859397i
\(562\) −13.5408 + 3.97594i −0.571185 + 0.167715i
\(563\) 27.1080 31.2842i 1.14246 1.31847i 0.201686 0.979450i \(-0.435358\pi\)
0.940778 0.339024i \(-0.110097\pi\)
\(564\) −12.6744 + 14.6271i −0.533689 + 0.615910i
\(565\) −52.2773 + 15.3500i −2.19932 + 0.645779i
\(566\) 1.43609 + 3.14460i 0.0603635 + 0.132178i
\(567\) 6.85061 4.40262i 0.287699 0.184893i
\(568\) −4.96475 1.45778i −0.208316 0.0611672i
\(569\) −5.50172 38.2653i −0.230644 1.60416i −0.695331 0.718689i \(-0.744742\pi\)
0.464688 0.885475i \(-0.346167\pi\)
\(570\) −6.04904 + 13.2455i −0.253366 + 0.554795i
\(571\) 1.24867 8.68471i 0.0522554 0.363444i −0.946870 0.321618i \(-0.895773\pi\)
0.999125 0.0418261i \(-0.0133175\pi\)
\(572\) −0.489258 0.314427i −0.0204569 0.0131468i
\(573\) −0.0247897 0.0286089i −0.00103561 0.00119515i
\(574\) −2.46467 −0.102874
\(575\) 15.1235 14.8273i 0.630692 0.618341i
\(576\) −0.262573 −0.0109406
\(577\) 18.0554 + 20.8370i 0.751656 + 0.867458i 0.994728 0.102551i \(-0.0327004\pi\)
−0.243071 + 0.970008i \(0.578155\pi\)
\(578\) 11.3689 + 7.30638i 0.472886 + 0.303905i
\(579\) −4.89413 + 34.0394i −0.203393 + 1.41463i
\(580\) −3.98974 + 8.73632i −0.165665 + 0.362756i
\(581\) −1.88982 13.1440i −0.0784029 0.545304i
\(582\) −7.01411 2.05953i −0.290744 0.0853702i
\(583\) −9.49443 + 6.10170i −0.393219 + 0.252707i
\(584\) 3.12227 + 6.83682i 0.129201 + 0.282910i
\(585\) 0.183635 0.0539200i 0.00759236 0.00222932i
\(586\) −17.6482 + 20.3671i −0.729041 + 0.841358i
\(587\) 26.6176 30.7184i 1.09863 1.26788i 0.137882 0.990449i \(-0.455970\pi\)
0.960745 0.277434i \(-0.0894841\pi\)
\(588\) −1.58750 + 0.466131i −0.0654673 + 0.0192229i
\(589\) 6.55696 + 14.3577i 0.270175 + 0.591600i
\(590\) −19.4722 + 12.5140i −0.801659 + 0.515195i
\(591\) 33.5745 + 9.85837i 1.38107 + 0.405519i
\(592\) 0.650528 + 4.52452i 0.0267365 + 0.185957i
\(593\) 16.8138 36.8171i 0.690460 1.51190i −0.160707 0.987002i \(-0.551377\pi\)
0.851167 0.524895i \(-0.175895\pi\)
\(594\) 1.88091 13.0820i 0.0771747 0.536762i
\(595\) −14.2599 9.16429i −0.584599 0.375699i
\(596\) −13.8634 15.9992i −0.567868 0.655354i
\(597\) 12.2617 0.501837
\(598\) 0.555805 0.994377i 0.0227286 0.0406631i
\(599\) −23.5674 −0.962937 −0.481469 0.876463i \(-0.659896\pi\)
−0.481469 + 0.876463i \(0.659896\pi\)
\(600\) −4.78487 5.52204i −0.195342 0.225436i
\(601\) 17.6205 + 11.3240i 0.718756 + 0.461916i 0.848204 0.529670i \(-0.177684\pi\)
−0.129448 + 0.991586i \(0.541321\pi\)
\(602\) 0.315597 2.19503i 0.0128628 0.0894626i
\(603\) −1.59969 + 3.50283i −0.0651444 + 0.142646i
\(604\) −0.451357 3.13926i −0.0183654 0.127734i
\(605\) −14.7368 4.32711i −0.599136 0.175922i
\(606\) −0.279791 + 0.179810i −0.0113657 + 0.00730430i
\(607\) −13.9707 30.5917i −0.567055 1.24168i −0.948351 0.317224i \(-0.897249\pi\)
0.381296 0.924453i \(-0.375478\pi\)
\(608\) −2.75192 + 0.808038i −0.111605 + 0.0327703i
\(609\) 3.39113 3.91358i 0.137416 0.158586i
\(610\) 25.9426 29.9393i 1.05038 1.21221i
\(611\) 2.66608 0.782833i 0.107858 0.0316700i
\(612\) 0.602538 + 1.31937i 0.0243562 + 0.0533325i
\(613\) −2.94883 + 1.89510i −0.119102 + 0.0765424i −0.598836 0.800872i \(-0.704370\pi\)
0.479733 + 0.877414i \(0.340733\pi\)
\(614\) −9.18317 2.69642i −0.370603 0.108819i
\(615\) 1.78082 + 12.3858i 0.0718094 + 0.499446i
\(616\) −1.01711 + 2.22716i −0.0409806 + 0.0897350i
\(617\) −1.10955 + 7.71709i −0.0446688 + 0.310679i 0.955222 + 0.295891i \(0.0956164\pi\)
−0.999891 + 0.0147879i \(0.995293\pi\)
\(618\) −2.23603 1.43701i −0.0899464 0.0578051i
\(619\) 11.2169 + 12.9450i 0.450847 + 0.520305i 0.934985 0.354687i \(-0.115412\pi\)
−0.484139 + 0.874991i \(0.660867\pi\)
\(620\) −16.8874 −0.678216
\(621\) 25.8023 + 2.10205i 1.03541 + 0.0843525i
\(622\) −3.58048 −0.143564
\(623\) 8.17371 + 9.43297i 0.327473 + 0.377924i
\(624\) −0.330615 0.212473i −0.0132352 0.00850573i
\(625\) 3.92478 27.2974i 0.156991 1.09190i
\(626\) 8.15096 17.8481i 0.325778 0.713354i
\(627\) −1.65349 11.5003i −0.0660342 0.459278i
\(628\) 2.75959 + 0.810288i 0.110120 + 0.0323340i
\(629\) 21.2419 13.6514i 0.846972 0.544316i
\(630\) −0.334712 0.732916i −0.0133352 0.0292001i
\(631\) 40.6561 11.9377i 1.61850 0.475233i 0.657882 0.753121i \(-0.271453\pi\)
0.960614 + 0.277888i \(0.0896344\pi\)
\(632\) 2.12958 2.45766i 0.0847101 0.0977606i
\(633\) 27.7792 32.0589i 1.10412 1.27423i
\(634\) −22.2328 + 6.52815i −0.882979 + 0.259266i
\(635\) 13.4146 + 29.3739i 0.532343 + 1.16567i
\(636\) −6.41584 + 4.12321i −0.254405 + 0.163496i
\(637\) 0.227911 + 0.0669208i 0.00903017 + 0.00265150i
\(638\) −1.09059 7.58522i −0.0431769 0.300302i
\(639\) −0.564402 + 1.23587i −0.0223274 + 0.0488902i
\(640\) 0.436705 3.03735i 0.0172623 0.120062i
\(641\) −6.79861 4.36920i −0.268529 0.172573i 0.399446 0.916757i \(-0.369202\pi\)
−0.667975 + 0.744184i \(0.732839\pi\)
\(642\) 4.66493 + 5.38361i 0.184110 + 0.212474i
\(643\) −43.4125 −1.71202 −0.856010 0.516959i \(-0.827064\pi\)
−0.856010 + 0.516959i \(0.827064\pi\)
\(644\) −4.47666 1.72032i −0.176405 0.0677901i
\(645\) −11.2588 −0.443315
\(646\) 10.3752 + 11.9736i 0.408206 + 0.471094i
\(647\) −10.6222 6.82647i −0.417601 0.268376i 0.314923 0.949117i \(-0.398021\pi\)
−0.732524 + 0.680741i \(0.761658\pi\)
\(648\) 1.15892 8.06045i 0.0455266 0.316644i
\(649\) 7.67219 16.7997i 0.301160 0.659448i
\(650\) 0.149288 + 1.03832i 0.00585555 + 0.0407262i
\(651\) 8.73652 + 2.56527i 0.342411 + 0.100541i
\(652\) −3.56088 + 2.28844i −0.139455 + 0.0896221i
\(653\) −2.36223 5.17257i −0.0924414 0.202418i 0.857763 0.514045i \(-0.171854\pi\)
−0.950205 + 0.311626i \(0.899126\pi\)
\(654\) −7.04942 + 2.06990i −0.275654 + 0.0809393i
\(655\) 38.6674 44.6245i 1.51086 1.74362i
\(656\) −1.61402 + 1.86268i −0.0630168 + 0.0727253i
\(657\) 1.89357 0.556002i 0.0738751 0.0216917i
\(658\) −4.85948 10.6408i −0.189442 0.414821i
\(659\) −19.6158 + 12.6063i −0.764121 + 0.491071i −0.863729 0.503956i \(-0.831877\pi\)
0.0996082 + 0.995027i \(0.468241\pi\)
\(660\) 11.9272 + 3.50214i 0.464265 + 0.136320i
\(661\) 1.82464 + 12.6907i 0.0709704 + 0.493610i 0.994043 + 0.108985i \(0.0347601\pi\)
−0.923073 + 0.384625i \(0.874331\pi\)
\(662\) 5.68738 12.4536i 0.221046 0.484024i
\(663\) −0.308956 + 2.14884i −0.0119989 + 0.0834540i
\(664\) −11.1711 7.17924i −0.433523 0.278609i
\(665\) −5.76344 6.65136i −0.223497 0.257929i
\(666\) 1.20023 0.0465081
\(667\) 14.6981 3.04548i 0.569112 0.117921i
\(668\) 13.0507 0.504946
\(669\) −15.9989 18.4637i −0.618554 0.713849i
\(670\) −37.8589 24.3304i −1.46262 0.939967i
\(671\) −4.49845 + 31.2874i −0.173661 + 1.20784i
\(672\) −0.687311 + 1.50500i −0.0265136 + 0.0580567i
\(673\) −6.12512 42.6011i −0.236106 1.64215i −0.670845 0.741597i \(-0.734069\pi\)
0.434739 0.900556i \(-0.356840\pi\)
\(674\) 4.58917 + 1.34750i 0.176768 + 0.0519039i
\(675\) −20.0543 + 12.8881i −0.771892 + 0.496065i
\(676\) −5.37696 11.7739i −0.206806 0.452842i
\(677\) 35.1450 10.3195i 1.35073 0.396611i 0.475246 0.879853i \(-0.342359\pi\)
0.875487 + 0.483242i \(0.160541\pi\)
\(678\) 19.2377 22.2015i 0.738820 0.852643i
\(679\) 2.89340 3.33916i 0.111038 0.128145i
\(680\) −16.2642 + 4.77559i −0.623702 + 0.183135i
\(681\) −14.9847 32.8120i −0.574216 1.25736i
\(682\) 11.3355 7.28486i 0.434057 0.278952i
\(683\) −25.7458 7.55965i −0.985136 0.289262i −0.250793 0.968041i \(-0.580691\pi\)
−0.734343 + 0.678779i \(0.762510\pi\)
\(684\) 0.107175 + 0.745422i 0.00409796 + 0.0285019i
\(685\) −8.32685 + 18.2333i −0.318153 + 0.696657i
\(686\) 0.142315 0.989821i 0.00543361 0.0377916i
\(687\) −2.16429 1.39090i −0.0825728 0.0530663i
\(688\) −1.45222 1.67595i −0.0553653 0.0638950i
\(689\) 1.09491 0.0417128
\(690\) −5.41066 + 23.7398i −0.205980 + 0.903758i
\(691\) −7.85627 −0.298867 −0.149433 0.988772i \(-0.547745\pi\)
−0.149433 + 0.988772i \(0.547745\pi\)
\(692\) 9.06703 + 10.4639i 0.344677 + 0.397778i
\(693\) 0.540834 + 0.347573i 0.0205446 + 0.0132032i
\(694\) −0.401648 + 2.79352i −0.0152464 + 0.106041i
\(695\) −14.4610 + 31.6651i −0.548536 + 1.20113i
\(696\) −0.736964 5.12570i −0.0279345 0.194289i
\(697\) 13.0633 + 3.83573i 0.494808 + 0.145289i
\(698\) 25.9689 16.6892i 0.982937 0.631695i
\(699\) −17.1781 37.6148i −0.649736 1.42272i
\(700\) 4.23733 1.24419i 0.160156 0.0470260i
\(701\) 17.1051 19.7403i 0.646051 0.745583i −0.334382 0.942438i \(-0.608527\pi\)
0.980433 + 0.196855i \(0.0630729\pi\)
\(702\) −0.839662 + 0.969022i −0.0316910 + 0.0365734i
\(703\) 12.5792 3.69358i 0.474432 0.139306i
\(704\) 1.01711 + 2.22716i 0.0383339 + 0.0839394i
\(705\) −49.9625 + 32.1090i −1.88170 + 1.20929i
\(706\) 16.7910 + 4.93027i 0.631936 + 0.185553i
\(707\) −0.0286078 0.198972i −0.00107591 0.00748311i
\(708\) 5.18446 11.3524i 0.194844 0.426649i
\(709\) 2.22593 15.4817i 0.0835964 0.581426i −0.904369 0.426751i \(-0.859658\pi\)
0.987965 0.154675i \(-0.0494330\pi\)
\(710\) −13.3574 8.58426i −0.501293 0.322161i
\(711\) −0.559170 0.645317i −0.0209705 0.0242013i
\(712\) 12.4816 0.467768
\(713\) 15.6071 + 21.2841i 0.584489 + 0.797095i
\(714\) 9.13951 0.342038
\(715\) −1.16869 1.34874i −0.0437064 0.0504398i
\(716\) −13.5778 8.72591i −0.507425 0.326102i
\(717\) −2.88673 + 20.0776i −0.107807 + 0.749814i
\(718\) −8.84754 + 19.3734i −0.330187 + 0.723009i
\(719\) −1.42880 9.93754i −0.0532853 0.370608i −0.998964 0.0455051i \(-0.985510\pi\)
0.945679 0.325103i \(-0.105399\pi\)
\(720\) −0.773091 0.227000i −0.0288114 0.00845979i
\(721\) 1.35147 0.868538i 0.0503314 0.0323460i
\(722\) −4.47568 9.80037i −0.166567 0.364732i
\(723\) −14.0592 + 4.12817i −0.522869 + 0.153528i
\(724\) −13.6084 + 15.7049i −0.505752 + 0.583668i
\(725\) −9.05156 + 10.4461i −0.336167 + 0.387957i
\(726\) 7.94577 2.33309i 0.294895 0.0865891i
\(727\) 4.60773 + 10.0895i 0.170891 + 0.374200i 0.975628 0.219433i \(-0.0704206\pi\)
−0.804736 + 0.593632i \(0.797693\pi\)
\(728\) 0.199826 0.128420i 0.00740603 0.00475956i
\(729\) −27.7595 8.15091i −1.02813 0.301886i
\(730\) 3.28229 + 22.8288i 0.121483 + 0.844932i
\(731\) −5.08882 + 11.1430i −0.188217 + 0.412137i
\(732\) −3.03982 + 21.1424i −0.112355 + 0.781445i
\(733\) −14.9707 9.62109i −0.552956 0.355363i 0.234131 0.972205i \(-0.424775\pi\)
−0.787087 + 0.616842i \(0.788412\pi\)
\(734\) −11.2963 13.0366i −0.416952 0.481189i
\(735\) −5.07703 −0.187269
\(736\) −4.23172 + 2.25666i −0.155983 + 0.0831817i
\(737\) 35.9079 1.32268
\(738\) 0.423798 + 0.489089i 0.0156002 + 0.0180036i
\(739\) −12.5704 8.07853i −0.462411 0.297173i 0.288616 0.957445i \(-0.406805\pi\)
−0.751027 + 0.660271i \(0.770441\pi\)
\(740\) −1.99620 + 13.8839i −0.0733817 + 0.510381i
\(741\) −0.468244 + 1.02531i −0.0172014 + 0.0376657i
\(742\) −0.656003 4.56260i −0.0240826 0.167498i
\(743\) −14.6597 4.30448i −0.537813 0.157916i 0.00153535 0.999999i \(-0.499511\pi\)
−0.539349 + 0.842083i \(0.681329\pi\)
\(744\) 7.65991 4.92272i 0.280826 0.180476i
\(745\) −26.9862 59.0915i −0.988698 2.16495i
\(746\) −19.4294 + 5.70498i −0.711361 + 0.208874i
\(747\) −2.28333 + 2.63511i −0.0835428 + 0.0964135i
\(748\) 8.85701 10.2215i 0.323844 0.373736i
\(749\) −4.13111 + 1.21300i −0.150947 + 0.0443221i
\(750\) 1.23125 + 2.69606i 0.0449589 + 0.0984462i
\(751\) 10.4077 6.68860i 0.379781 0.244070i −0.336797 0.941577i \(-0.609344\pi\)
0.716578 + 0.697507i \(0.245707\pi\)
\(752\) −11.2241 3.29568i −0.409299 0.120181i
\(753\) 2.45065 + 17.0446i 0.0893066 + 0.621141i
\(754\) −0.308838 + 0.676261i −0.0112472 + 0.0246280i
\(755\) 1.38503 9.63307i 0.0504063 0.350583i
\(756\) 4.54107 + 2.91837i 0.165157 + 0.106140i
\(757\) 22.2552 + 25.6838i 0.808877 + 0.933494i 0.998833 0.0482985i \(-0.0153799\pi\)
−0.189956 + 0.981793i \(0.560834\pi\)
\(758\) 30.7341 1.11631
\(759\) −6.60897 18.2690i −0.239890 0.663124i
\(760\) −8.80102 −0.319246
\(761\) 0.168497 + 0.194456i 0.00610800 + 0.00704901i 0.758795 0.651329i \(-0.225788\pi\)
−0.752687 + 0.658378i \(0.771243\pi\)
\(762\) −14.6473 9.41322i −0.530614 0.341005i
\(763\) 0.631961 4.39539i 0.0228785 0.159124i
\(764\) 0.00950459 0.0208122i 0.000343864 0.000752958i
\(765\) 0.633418 + 4.40552i 0.0229013 + 0.159282i
\(766\) −16.4882 4.84136i −0.595742 0.174926i
\(767\) −1.50731 + 0.968686i −0.0544256 + 0.0349772i
\(768\) 0.687311 + 1.50500i 0.0248012 + 0.0543071i
\(769\) 6.67131 1.95887i 0.240574 0.0706388i −0.159223 0.987243i \(-0.550899\pi\)
0.399797 + 0.916604i \(0.369081\pi\)
\(770\) −4.92010 + 5.67809i −0.177308 + 0.204624i
\(771\) 2.54144 2.93298i 0.0915278 0.105629i