Properties

Label 138.2.f.a.11.7
Level $138$
Weight $2$
Character 138.11
Analytic conductor $1.102$
Analytic rank $0$
Dimension $80$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 138 = 2 \cdot 3 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 138.f (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.10193554789\)
Analytic rank: \(0\)
Dimension: \(80\)
Relative dimension: \(8\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 11.7
Character \(\chi\) \(=\) 138.11
Dual form 138.2.f.a.113.7

$q$-expansion

\(f(q)\) \(=\) \(q+(0.540641 + 0.841254i) q^{2} +(-0.554828 + 1.64078i) q^{3} +(-0.415415 + 0.909632i) q^{4} +(3.21268 - 0.943327i) q^{5} +(-1.68028 + 0.420323i) q^{6} +(-1.80758 + 1.56628i) q^{7} +(-0.989821 + 0.142315i) q^{8} +(-2.38433 - 1.82070i) q^{9} +O(q^{10})\) \(q+(0.540641 + 0.841254i) q^{2} +(-0.554828 + 1.64078i) q^{3} +(-0.415415 + 0.909632i) q^{4} +(3.21268 - 0.943327i) q^{5} +(-1.68028 + 0.420323i) q^{6} +(-1.80758 + 1.56628i) q^{7} +(-0.989821 + 0.142315i) q^{8} +(-2.38433 - 1.82070i) q^{9} +(2.53048 + 2.19268i) q^{10} +(-0.146746 - 0.0943077i) q^{11} +(-1.26202 - 1.18629i) q^{12} +(0.435504 - 0.502599i) q^{13} +(-2.29489 - 0.673841i) q^{14} +(-0.234688 + 5.79469i) q^{15} +(-0.654861 - 0.755750i) q^{16} +(-1.46011 - 3.19721i) q^{17} +(0.242605 - 2.99017i) q^{18} +(6.08977 + 2.78111i) q^{19} +(-0.476514 + 3.31423i) q^{20} +(-1.56703 - 3.83486i) q^{21} -0.174437i q^{22} +(-2.56678 - 4.05113i) q^{23} +(0.315673 - 1.70304i) q^{24} +(5.22517 - 3.35801i) q^{25} +(0.658264 + 0.0946441i) q^{26} +(4.31027 - 2.90199i) q^{27} +(-0.673841 - 2.29489i) q^{28} +(5.54968 - 2.53446i) q^{29} +(-5.00168 + 2.93541i) q^{30} +(-1.22988 - 8.55402i) q^{31} +(0.281733 - 0.959493i) q^{32} +(0.236157 - 0.188453i) q^{33} +(1.90026 - 2.95687i) q^{34} +(-4.32967 + 6.73709i) q^{35} +(2.64666 - 1.41252i) q^{36} +(-2.59752 + 8.84635i) q^{37} +(0.952764 + 6.62662i) q^{38} +(0.583025 + 0.993424i) q^{39} +(-3.04573 + 1.39094i) q^{40} +(0.791908 + 2.69699i) q^{41} +(2.37889 - 3.39155i) q^{42} +(-5.73482 - 0.824543i) q^{43} +(0.146746 - 0.0943077i) q^{44} +(-9.37761 - 3.60013i) q^{45} +(2.02032 - 4.34952i) q^{46} +7.88048i q^{47} +(1.60336 - 0.655173i) q^{48} +(-0.182080 + 1.26640i) q^{49} +(5.64988 + 2.58021i) q^{50} +(6.05603 - 0.621833i) q^{51} +(0.276265 + 0.604936i) q^{52} +(-7.73902 - 8.93131i) q^{53} +(4.77162 + 2.05709i) q^{54} +(-0.560410 - 0.164551i) q^{55} +(1.56628 - 1.80758i) q^{56} +(-7.94196 + 8.44895i) q^{57} +(5.13250 + 3.29846i) q^{58} +(-7.68344 - 6.65774i) q^{59} +(-5.17354 - 2.62068i) q^{60} +(-0.619733 + 0.0891041i) q^{61} +(6.53117 - 5.65929i) q^{62} +(7.16160 - 0.443460i) q^{63} +(0.959493 - 0.281733i) q^{64} +(0.925020 - 2.02551i) q^{65} +(0.286213 + 0.0967824i) q^{66} +(4.04398 + 6.29256i) q^{67} +3.51483 q^{68} +(8.07114 - 1.96385i) q^{69} -8.00840 q^{70} +(2.12838 + 3.31183i) q^{71} +(2.61918 + 1.46284i) q^{72} +(-2.52644 + 5.53213i) q^{73} +(-8.84635 + 2.59752i) q^{74} +(2.61070 + 10.4365i) q^{75} +(-5.05956 + 4.38414i) q^{76} +(0.412967 - 0.0593757i) q^{77} +(-0.520514 + 1.02756i) q^{78} +(-3.93306 - 3.40802i) q^{79} +(-2.81678 - 1.81023i) q^{80} +(2.37008 + 8.68232i) q^{81} +(-1.84072 + 2.12430i) q^{82} +(-11.4071 - 3.34943i) q^{83} +(4.13928 + 0.167643i) q^{84} +(-7.70689 - 8.89423i) q^{85} +(-2.40683 - 5.27022i) q^{86} +(1.07937 + 10.5120i) q^{87} +(0.158673 + 0.0724637i) q^{88} +(-2.16027 + 15.0250i) q^{89} +(-2.04130 - 9.83532i) q^{90} +1.59061i q^{91} +(4.75131 - 0.651925i) q^{92} +(14.7177 + 2.72804i) q^{93} +(-6.62948 + 4.26051i) q^{94} +(22.1880 + 3.19015i) q^{95} +(1.41801 + 0.994615i) q^{96} +(-1.10459 - 3.76189i) q^{97} +(-1.16380 + 0.531490i) q^{98} +(0.178184 + 0.492041i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 80 q + 4 q^{3} + 8 q^{4} + 4 q^{6}+O(q^{10}) \) Copy content Toggle raw display \( 80 q + 4 q^{3} + 8 q^{4} + 4 q^{6} - 4 q^{12} + 8 q^{13} - 22 q^{15} - 8 q^{16} - 28 q^{18} - 66 q^{21} - 4 q^{24} - 48 q^{25} - 38 q^{27} - 44 q^{30} - 16 q^{31} - 22 q^{33} - 44 q^{37} - 24 q^{39} - 44 q^{43} - 16 q^{46} + 4 q^{48} - 76 q^{49} - 8 q^{52} - 6 q^{54} + 64 q^{55} + 66 q^{57} + 36 q^{58} + 22 q^{60} + 88 q^{61} + 110 q^{63} + 8 q^{64} + 88 q^{66} + 44 q^{67} + 82 q^{69} + 112 q^{70} + 28 q^{72} + 52 q^{73} + 136 q^{75} + 82 q^{78} + 88 q^{79} + 36 q^{81} + 44 q^{82} + 22 q^{84} + 20 q^{85} - 10 q^{87} + 8 q^{93} - 56 q^{94} + 4 q^{96} - 132 q^{97} - 66 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/138\mathbb{Z}\right)^\times\).

\(n\) \(47\) \(97\)
\(\chi(n)\) \(-1\) \(e\left(\frac{9}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.540641 + 0.841254i 0.382291 + 0.594856i
\(3\) −0.554828 + 1.64078i −0.320330 + 0.947306i
\(4\) −0.415415 + 0.909632i −0.207708 + 0.454816i
\(5\) 3.21268 0.943327i 1.43675 0.421869i 0.531615 0.846986i \(-0.321585\pi\)
0.905138 + 0.425117i \(0.139767\pi\)
\(6\) −1.68028 + 0.420323i −0.685970 + 0.171596i
\(7\) −1.80758 + 1.56628i −0.683202 + 0.591998i −0.925747 0.378142i \(-0.876563\pi\)
0.242546 + 0.970140i \(0.422018\pi\)
\(8\) −0.989821 + 0.142315i −0.349955 + 0.0503159i
\(9\) −2.38433 1.82070i −0.794778 0.606901i
\(10\) 2.53048 + 2.19268i 0.800209 + 0.693385i
\(11\) −0.146746 0.0943077i −0.0442455 0.0284348i 0.518331 0.855180i \(-0.326553\pi\)
−0.562577 + 0.826745i \(0.690190\pi\)
\(12\) −1.26202 1.18629i −0.364315 0.342454i
\(13\) 0.435504 0.502599i 0.120787 0.139396i −0.692135 0.721768i \(-0.743330\pi\)
0.812922 + 0.582372i \(0.197875\pi\)
\(14\) −2.29489 0.673841i −0.613335 0.180091i
\(15\) −0.234688 + 5.79469i −0.0605961 + 1.49618i
\(16\) −0.654861 0.755750i −0.163715 0.188937i
\(17\) −1.46011 3.19721i −0.354130 0.775436i −0.999929 0.0119287i \(-0.996203\pi\)
0.645799 0.763507i \(-0.276524\pi\)
\(18\) 0.242605 2.99017i 0.0571825 0.704791i
\(19\) 6.08977 + 2.78111i 1.39709 + 0.638029i 0.964626 0.263622i \(-0.0849173\pi\)
0.432463 + 0.901652i \(0.357645\pi\)
\(20\) −0.476514 + 3.31423i −0.106552 + 0.741084i
\(21\) −1.56703 3.83486i −0.341953 0.836836i
\(22\) 0.174437i 0.0371901i
\(23\) −2.56678 4.05113i −0.535211 0.844719i
\(24\) 0.315673 1.70304i 0.0644364 0.347632i
\(25\) 5.22517 3.35801i 1.04503 0.671602i
\(26\) 0.658264 + 0.0946441i 0.129096 + 0.0185612i
\(27\) 4.31027 2.90199i 0.829512 0.558489i
\(28\) −0.673841 2.29489i −0.127344 0.433693i
\(29\) 5.54968 2.53446i 1.03055 0.470636i 0.172938 0.984933i \(-0.444674\pi\)
0.857613 + 0.514296i \(0.171947\pi\)
\(30\) −5.00168 + 2.93541i −0.913179 + 0.535931i
\(31\) −1.22988 8.55402i −0.220893 1.53635i −0.734671 0.678423i \(-0.762664\pi\)
0.513778 0.857923i \(-0.328246\pi\)
\(32\) 0.281733 0.959493i 0.0498038 0.169616i
\(33\) 0.236157 0.188453i 0.0411096 0.0328055i
\(34\) 1.90026 2.95687i 0.325892 0.507098i
\(35\) −4.32967 + 6.73709i −0.731847 + 1.13878i
\(36\) 2.64666 1.41252i 0.441109 0.235420i
\(37\) −2.59752 + 8.84635i −0.427030 + 1.45433i 0.412470 + 0.910971i \(0.364666\pi\)
−0.839500 + 0.543360i \(0.817152\pi\)
\(38\) 0.952764 + 6.62662i 0.154559 + 1.07498i
\(39\) 0.583025 + 0.993424i 0.0933588 + 0.159075i
\(40\) −3.04573 + 1.39094i −0.481572 + 0.219927i
\(41\) 0.791908 + 2.69699i 0.123675 + 0.421199i 0.997933 0.0642628i \(-0.0204696\pi\)
−0.874258 + 0.485462i \(0.838651\pi\)
\(42\) 2.37889 3.39155i 0.367071 0.523327i
\(43\) −5.73482 0.824543i −0.874552 0.125742i −0.309601 0.950866i \(-0.600196\pi\)
−0.564950 + 0.825125i \(0.691105\pi\)
\(44\) 0.146746 0.0943077i 0.0221227 0.0142174i
\(45\) −9.37761 3.60013i −1.39793 0.536675i
\(46\) 2.02032 4.34952i 0.297880 0.641301i
\(47\) 7.88048i 1.14949i 0.818334 + 0.574743i \(0.194898\pi\)
−0.818334 + 0.574743i \(0.805102\pi\)
\(48\) 1.60336 0.655173i 0.231424 0.0945661i
\(49\) −0.182080 + 1.26640i −0.0260115 + 0.180914i
\(50\) 5.64988 + 2.58021i 0.799013 + 0.364897i
\(51\) 6.05603 0.621833i 0.848014 0.0870740i
\(52\) 0.276265 + 0.604936i 0.0383111 + 0.0838895i
\(53\) −7.73902 8.93131i −1.06304 1.22681i −0.972984 0.230873i \(-0.925842\pi\)
−0.0900527 0.995937i \(-0.528704\pi\)
\(54\) 4.77162 + 2.05709i 0.649335 + 0.279935i
\(55\) −0.560410 0.164551i −0.0755656 0.0221881i
\(56\) 1.56628 1.80758i 0.209303 0.241548i
\(57\) −7.94196 + 8.44895i −1.05194 + 1.11909i
\(58\) 5.13250 + 3.29846i 0.673931 + 0.433109i
\(59\) −7.68344 6.65774i −1.00030 0.866764i −0.00920920 0.999958i \(-0.502931\pi\)
−0.991090 + 0.133193i \(0.957477\pi\)
\(60\) −5.17354 2.62068i −0.667901 0.338328i
\(61\) −0.619733 + 0.0891041i −0.0793486 + 0.0114086i −0.181875 0.983322i \(-0.558217\pi\)
0.102526 + 0.994730i \(0.467307\pi\)
\(62\) 6.53117 5.65929i 0.829460 0.718731i
\(63\) 7.16160 0.443460i 0.902277 0.0558708i
\(64\) 0.959493 0.281733i 0.119937 0.0352166i
\(65\) 0.925020 2.02551i 0.114735 0.251234i
\(66\) 0.286213 + 0.0967824i 0.0352304 + 0.0119131i
\(67\) 4.04398 + 6.29256i 0.494051 + 0.768759i 0.995330 0.0965269i \(-0.0307734\pi\)
−0.501279 + 0.865286i \(0.667137\pi\)
\(68\) 3.51483 0.426236
\(69\) 8.07114 1.96385i 0.971651 0.236420i
\(70\) −8.00840 −0.957186
\(71\) 2.12838 + 3.31183i 0.252593 + 0.393042i 0.944274 0.329161i \(-0.106766\pi\)
−0.691681 + 0.722203i \(0.743130\pi\)
\(72\) 2.61918 + 1.46284i 0.308673 + 0.172398i
\(73\) −2.52644 + 5.53213i −0.295697 + 0.647487i −0.997920 0.0644710i \(-0.979464\pi\)
0.702222 + 0.711958i \(0.252191\pi\)
\(74\) −8.84635 + 2.59752i −1.02837 + 0.301956i
\(75\) 2.61070 + 10.4365i 0.301457 + 1.20510i
\(76\) −5.05956 + 4.38414i −0.580372 + 0.502895i
\(77\) 0.412967 0.0593757i 0.0470619 0.00676649i
\(78\) −0.520514 + 1.02756i −0.0589366 + 0.116348i
\(79\) −3.93306 3.40802i −0.442504 0.383432i 0.404917 0.914354i \(-0.367300\pi\)
−0.847421 + 0.530921i \(0.821846\pi\)
\(80\) −2.81678 1.81023i −0.314925 0.202390i
\(81\) 2.37008 + 8.68232i 0.263343 + 0.964702i
\(82\) −1.84072 + 2.12430i −0.203273 + 0.234590i
\(83\) −11.4071 3.34943i −1.25209 0.367648i −0.412548 0.910936i \(-0.635361\pi\)
−0.839547 + 0.543288i \(0.817179\pi\)
\(84\) 4.13928 + 0.167643i 0.451632 + 0.0182913i
\(85\) −7.70689 8.89423i −0.835930 0.964714i
\(86\) −2.40683 5.27022i −0.259535 0.568302i
\(87\) 1.07937 + 10.5120i 0.115721 + 1.12701i
\(88\) 0.158673 + 0.0724637i 0.0169146 + 0.00772466i
\(89\) −2.16027 + 15.0250i −0.228988 + 1.59265i 0.473398 + 0.880849i \(0.343027\pi\)
−0.702386 + 0.711797i \(0.747882\pi\)
\(90\) −2.04130 9.83532i −0.215172 1.03673i
\(91\) 1.59061i 0.166741i
\(92\) 4.75131 0.651925i 0.495359 0.0679679i
\(93\) 14.7177 + 2.72804i 1.52615 + 0.282884i
\(94\) −6.62948 + 4.26051i −0.683779 + 0.439438i
\(95\) 22.1880 + 3.19015i 2.27644 + 0.327302i
\(96\) 1.41801 + 0.994615i 0.144725 + 0.101512i
\(97\) −1.10459 3.76189i −0.112154 0.381962i 0.884217 0.467076i \(-0.154693\pi\)
−0.996371 + 0.0851145i \(0.972874\pi\)
\(98\) −1.16380 + 0.531490i −0.117562 + 0.0536886i
\(99\) 0.178184 + 0.492041i 0.0179082 + 0.0494520i
\(100\) 0.883941 + 6.14795i 0.0883941 + 0.614795i
\(101\) 3.77413 12.8535i 0.375540 1.27897i −0.527551 0.849523i \(-0.676890\pi\)
0.903091 0.429449i \(-0.141292\pi\)
\(102\) 3.79726 + 4.75847i 0.375984 + 0.471159i
\(103\) −0.709786 + 1.10445i −0.0699373 + 0.108825i −0.874461 0.485096i \(-0.838784\pi\)
0.804523 + 0.593921i \(0.202421\pi\)
\(104\) −0.359544 + 0.559462i −0.0352562 + 0.0548597i
\(105\) −8.65188 10.8420i −0.844337 1.05807i
\(106\) 3.32946 11.3391i 0.323386 1.10135i
\(107\) 0.295739 + 2.05691i 0.0285902 + 0.198849i 0.999110 0.0421705i \(-0.0134273\pi\)
−0.970520 + 0.241020i \(0.922518\pi\)
\(108\) 0.849196 + 5.12629i 0.0817140 + 0.493278i
\(109\) 2.64483 1.20785i 0.253328 0.115691i −0.284704 0.958616i \(-0.591895\pi\)
0.538032 + 0.842924i \(0.319168\pi\)
\(110\) −0.164551 0.560410i −0.0156893 0.0534330i
\(111\) −13.0738 9.17017i −1.24091 0.870394i
\(112\) 2.36743 + 0.340385i 0.223701 + 0.0321633i
\(113\) 8.75523 5.62665i 0.823623 0.529310i −0.0596226 0.998221i \(-0.518990\pi\)
0.883246 + 0.468911i \(0.155353\pi\)
\(114\) −11.4015 2.11335i −1.06784 0.197934i
\(115\) −12.0678 10.5937i −1.12533 0.987864i
\(116\) 6.10102i 0.566465i
\(117\) −1.95347 + 0.405439i −0.180598 + 0.0374828i
\(118\) 1.44687 10.0632i 0.133195 0.926390i
\(119\) 7.64699 + 3.49226i 0.700999 + 0.320135i
\(120\) −0.592371 5.76911i −0.0540759 0.526645i
\(121\) −4.55692 9.97827i −0.414266 0.907116i
\(122\) −0.410012 0.473179i −0.0371207 0.0428396i
\(123\) −4.86455 0.197016i −0.438621 0.0177644i
\(124\) 8.29192 + 2.43473i 0.744636 + 0.218645i
\(125\) 2.65570 3.06484i 0.237533 0.274128i
\(126\) 4.24492 + 5.78497i 0.378167 + 0.515366i
\(127\) 18.2002 + 11.6965i 1.61500 + 1.03790i 0.959105 + 0.283051i \(0.0913464\pi\)
0.655898 + 0.754849i \(0.272290\pi\)
\(128\) 0.755750 + 0.654861i 0.0667995 + 0.0578821i
\(129\) 4.53473 8.95211i 0.399261 0.788189i
\(130\) 2.20407 0.316898i 0.193310 0.0277938i
\(131\) −7.69051 + 6.66386i −0.671923 + 0.582224i −0.922559 0.385857i \(-0.873906\pi\)
0.250636 + 0.968081i \(0.419360\pi\)
\(132\) 0.0733199 + 0.293102i 0.00638168 + 0.0255113i
\(133\) −15.3637 + 4.51120i −1.33221 + 0.391171i
\(134\) −3.10730 + 6.80403i −0.268430 + 0.587779i
\(135\) 11.1100 13.3892i 0.956195 1.15236i
\(136\) 1.90026 + 2.95687i 0.162946 + 0.253549i
\(137\) −10.2876 −0.878926 −0.439463 0.898261i \(-0.644831\pi\)
−0.439463 + 0.898261i \(0.644831\pi\)
\(138\) 6.01568 + 5.72814i 0.512089 + 0.487612i
\(139\) 2.55486 0.216700 0.108350 0.994113i \(-0.465443\pi\)
0.108350 + 0.994113i \(0.465443\pi\)
\(140\) −4.32967 6.73709i −0.365924 0.569388i
\(141\) −12.9302 4.37231i −1.08892 0.368215i
\(142\) −1.63540 + 3.58102i −0.137240 + 0.300513i
\(143\) −0.111307 + 0.0326828i −0.00930798 + 0.00273307i
\(144\) 0.185411 + 2.99426i 0.0154509 + 0.249522i
\(145\) 15.4385 13.3776i 1.28210 1.11095i
\(146\) −6.01982 + 0.865519i −0.498204 + 0.0716309i
\(147\) −1.97686 1.00139i −0.163048 0.0825929i
\(148\) −6.96787 6.03770i −0.572756 0.496296i
\(149\) 15.3258 + 9.84932i 1.25554 + 0.806888i 0.987668 0.156566i \(-0.0500424\pi\)
0.267875 + 0.963454i \(0.413679\pi\)
\(150\) −7.36828 + 7.83865i −0.601617 + 0.640023i
\(151\) 4.64937 5.36566i 0.378360 0.436651i −0.534347 0.845265i \(-0.679442\pi\)
0.912707 + 0.408614i \(0.133988\pi\)
\(152\) −6.42358 1.88613i −0.521021 0.152986i
\(153\) −2.33976 + 10.2816i −0.189158 + 0.831221i
\(154\) 0.273217 + 0.315309i 0.0220164 + 0.0254083i
\(155\) −12.0205 26.3211i −0.965506 2.11416i
\(156\) −1.14585 + 0.117656i −0.0917412 + 0.00941998i
\(157\) 1.56422 + 0.714356i 0.124838 + 0.0570118i 0.476855 0.878982i \(-0.341777\pi\)
−0.352017 + 0.935994i \(0.614504\pi\)
\(158\) 0.740633 5.15122i 0.0589216 0.409809i
\(159\) 18.9482 7.74272i 1.50269 0.614037i
\(160\) 3.34831i 0.264707i
\(161\) 10.9849 + 3.30245i 0.865728 + 0.260270i
\(162\) −6.02267 + 6.68786i −0.473186 + 0.525448i
\(163\) −0.837342 + 0.538127i −0.0655857 + 0.0421494i −0.573023 0.819539i \(-0.694229\pi\)
0.507437 + 0.861689i \(0.330593\pi\)
\(164\) −2.78224 0.400026i −0.217256 0.0312368i
\(165\) 0.580923 0.828213i 0.0452248 0.0644763i
\(166\) −3.34943 11.4071i −0.259966 0.885365i
\(167\) −10.0742 + 4.60072i −0.779563 + 0.356014i −0.765125 0.643881i \(-0.777323\pi\)
−0.0144375 + 0.999896i \(0.504596\pi\)
\(168\) 2.09683 + 3.57282i 0.161774 + 0.275649i
\(169\) 1.78715 + 12.4299i 0.137473 + 0.956147i
\(170\) 3.31564 11.2920i 0.254298 0.866059i
\(171\) −9.45647 17.7187i −0.723155 1.35499i
\(172\) 3.13236 4.87405i 0.238840 0.371643i
\(173\) −1.30865 + 2.03629i −0.0994945 + 0.154817i −0.887432 0.460939i \(-0.847513\pi\)
0.787937 + 0.615755i \(0.211149\pi\)
\(174\) −8.25971 + 6.59124i −0.626167 + 0.499681i
\(175\) −4.18534 + 14.2539i −0.316382 + 1.07750i
\(176\) 0.0248250 + 0.172661i 0.00187125 + 0.0130148i
\(177\) 15.1869 8.91296i 1.14152 0.669939i
\(178\) −13.8078 + 6.30579i −1.03493 + 0.472639i
\(179\) −3.56599 12.1447i −0.266535 0.907734i −0.978626 0.205647i \(-0.934070\pi\)
0.712092 0.702087i \(-0.247748\pi\)
\(180\) 7.17039 7.03463i 0.534449 0.524330i
\(181\) −9.15702 1.31658i −0.680636 0.0978607i −0.206679 0.978409i \(-0.566266\pi\)
−0.473957 + 0.880548i \(0.657175\pi\)
\(182\) −1.33811 + 0.859949i −0.0991870 + 0.0637436i
\(183\) 0.197644 1.06628i 0.0146103 0.0788220i
\(184\) 3.11719 + 3.64460i 0.229802 + 0.268684i
\(185\) 30.8708i 2.26967i
\(186\) 5.66199 + 13.8562i 0.415157 + 1.01598i
\(187\) −0.0872556 + 0.606876i −0.00638076 + 0.0443792i
\(188\) −7.16834 3.27367i −0.522805 0.238757i
\(189\) −3.24583 + 11.9967i −0.236100 + 0.872630i
\(190\) 9.31200 + 20.3904i 0.675563 + 1.47928i
\(191\) 0.963220 + 1.11162i 0.0696962 + 0.0804337i 0.789527 0.613716i \(-0.210326\pi\)
−0.719831 + 0.694150i \(0.755781\pi\)
\(192\) −0.0700914 + 1.73063i −0.00505841 + 0.124898i
\(193\) 5.88402 + 1.72770i 0.423541 + 0.124363i 0.486555 0.873650i \(-0.338253\pi\)
−0.0630142 + 0.998013i \(0.520071\pi\)
\(194\) 2.56751 2.96307i 0.184337 0.212736i
\(195\) 2.81020 + 2.64157i 0.201242 + 0.189166i
\(196\) −1.07632 0.691706i −0.0768797 0.0494076i
\(197\) 16.4790 + 14.2792i 1.17408 + 1.01735i 0.999465 + 0.0327122i \(0.0104145\pi\)
0.174618 + 0.984636i \(0.444131\pi\)
\(198\) −0.317598 + 0.415916i −0.0225707 + 0.0295578i
\(199\) −0.422569 + 0.0607563i −0.0299551 + 0.00430690i −0.157276 0.987555i \(-0.550271\pi\)
0.127321 + 0.991862i \(0.459362\pi\)
\(200\) −4.69409 + 4.06745i −0.331922 + 0.287612i
\(201\) −12.5684 + 3.14401i −0.886509 + 0.221761i
\(202\) 12.8535 3.77413i 0.904370 0.265547i
\(203\) −6.06184 + 13.2736i −0.425458 + 0.931623i
\(204\) −1.95013 + 5.76708i −0.136536 + 0.403776i
\(205\) 5.08829 + 7.91754i 0.355382 + 0.552985i
\(206\) −1.31286 −0.0914714
\(207\) −1.25584 + 14.3326i −0.0872872 + 0.996183i
\(208\) −0.665034 −0.0461118
\(209\) −0.631368 0.982427i −0.0436726 0.0679559i
\(210\) 4.44328 13.1400i 0.306615 0.906748i
\(211\) 4.16291 9.11550i 0.286586 0.627537i −0.710510 0.703687i \(-0.751536\pi\)
0.997096 + 0.0761505i \(0.0242629\pi\)
\(212\) 11.3391 3.32946i 0.778773 0.228669i
\(213\) −6.61488 + 1.65472i −0.453244 + 0.113380i
\(214\) −1.57050 + 1.36084i −0.107357 + 0.0930253i
\(215\) −19.2019 + 2.76082i −1.30956 + 0.188287i
\(216\) −3.85340 + 3.48587i −0.262191 + 0.237184i
\(217\) 15.6211 + 13.5357i 1.06043 + 0.918866i
\(218\) 2.44601 + 1.57196i 0.165665 + 0.106466i
\(219\) −7.67528 7.21471i −0.518647 0.487525i
\(220\) 0.382484 0.441410i 0.0257870 0.0297598i
\(221\) −2.24280 0.658545i −0.150867 0.0442985i
\(222\) 0.646230 15.9561i 0.0433721 1.07090i
\(223\) 3.02207 + 3.48765i 0.202372 + 0.233550i 0.847860 0.530221i \(-0.177891\pi\)
−0.645487 + 0.763771i \(0.723346\pi\)
\(224\) 0.993579 + 2.17563i 0.0663863 + 0.145366i
\(225\) −18.5725 1.50686i −1.23817 0.100457i
\(226\) 9.46687 + 4.32338i 0.629727 + 0.287587i
\(227\) 0.571788 3.97688i 0.0379509 0.263955i −0.962008 0.273021i \(-0.911977\pi\)
0.999959 + 0.00906687i \(0.00288611\pi\)
\(228\) −4.38623 10.7341i −0.290485 0.710882i
\(229\) 6.47386i 0.427805i 0.976855 + 0.213902i \(0.0686174\pi\)
−0.976855 + 0.213902i \(0.931383\pi\)
\(230\) 2.38762 15.8794i 0.157435 1.04706i
\(231\) −0.131703 + 0.710532i −0.00866541 + 0.0467496i
\(232\) −5.13250 + 3.29846i −0.336965 + 0.216555i
\(233\) 20.6304 + 2.96621i 1.35155 + 0.194323i 0.779759 0.626080i \(-0.215342\pi\)
0.571786 + 0.820403i \(0.306251\pi\)
\(234\) −1.39720 1.42417i −0.0913380 0.0931007i
\(235\) 7.43388 + 25.3175i 0.484933 + 1.65153i
\(236\) 9.24791 4.22338i 0.601988 0.274919i
\(237\) 7.77399 4.56244i 0.504975 0.296362i
\(238\) 1.19640 + 8.32112i 0.0775509 + 0.539378i
\(239\) 2.55094 8.68772i 0.165007 0.561962i −0.834926 0.550362i \(-0.814490\pi\)
0.999933 0.0115993i \(-0.00369226\pi\)
\(240\) 4.53302 3.61735i 0.292605 0.233499i
\(241\) 2.19681 3.41830i 0.141509 0.220192i −0.763264 0.646087i \(-0.776404\pi\)
0.904773 + 0.425895i \(0.140041\pi\)
\(242\) 5.93060 9.22819i 0.381233 0.593211i
\(243\) −15.5608 0.928398i −0.998225 0.0595568i
\(244\) 0.176394 0.600744i 0.0112925 0.0384587i
\(245\) 0.609661 + 4.24028i 0.0389498 + 0.270902i
\(246\) −2.46423 4.19883i −0.157114 0.267708i
\(247\) 4.04990 1.84953i 0.257689 0.117683i
\(248\) 2.43473 + 8.29192i 0.154605 + 0.526537i
\(249\) 11.8247 16.8582i 0.749359 1.06835i
\(250\) 4.01409 + 0.577139i 0.253873 + 0.0365015i
\(251\) −4.41926 + 2.84009i −0.278942 + 0.179265i −0.672630 0.739979i \(-0.734835\pi\)
0.393688 + 0.919244i \(0.371199\pi\)
\(252\) −2.57165 + 6.69864i −0.161999 + 0.421975i
\(253\) −0.00538890 + 0.836553i −0.000338797 + 0.0525936i
\(254\) 21.6346i 1.35747i
\(255\) 18.8695 7.71057i 1.18165 0.482854i
\(256\) −0.142315 + 0.989821i −0.00889468 + 0.0618638i
\(257\) −16.6280 7.59377i −1.03723 0.473687i −0.177330 0.984151i \(-0.556746\pi\)
−0.859899 + 0.510465i \(0.829473\pi\)
\(258\) 9.98265 1.02502i 0.621493 0.0638148i
\(259\) −9.16062 20.0589i −0.569213 1.24640i
\(260\) 1.45820 + 1.68286i 0.0904339 + 0.104366i
\(261\) −17.8468 4.06134i −1.10469 0.251390i
\(262\) −9.76380 2.86691i −0.603209 0.177118i
\(263\) 15.1908 17.5311i 0.936703 1.08101i −0.0598627 0.998207i \(-0.519066\pi\)
0.996566 0.0828062i \(-0.0263883\pi\)
\(264\) −0.206934 + 0.220144i −0.0127359 + 0.0135489i
\(265\) −33.2881 21.3930i −2.04487 1.31416i
\(266\) −12.1013 10.4859i −0.741980 0.642930i
\(267\) −23.4542 11.8808i −1.43537 0.727093i
\(268\) −7.40385 + 1.06451i −0.452262 + 0.0650254i
\(269\) −6.91584 + 5.99261i −0.421666 + 0.365376i −0.839695 0.543058i \(-0.817266\pi\)
0.418029 + 0.908434i \(0.362721\pi\)
\(270\) 17.2702 + 2.10758i 1.05103 + 0.128263i
\(271\) 25.6521 7.53215i 1.55826 0.457545i 0.614701 0.788760i \(-0.289277\pi\)
0.943555 + 0.331215i \(0.107458\pi\)
\(272\) −1.46011 + 3.19721i −0.0885325 + 0.193859i
\(273\) −2.60984 0.882514i −0.157955 0.0534122i
\(274\) −5.56188 8.65445i −0.336005 0.522835i
\(275\) −1.08346 −0.0653349
\(276\) −1.56649 + 8.15758i −0.0942918 + 0.491029i
\(277\) 27.7970 1.67016 0.835078 0.550131i \(-0.185422\pi\)
0.835078 + 0.550131i \(0.185422\pi\)
\(278\) 1.38126 + 2.14928i 0.0828424 + 0.128905i
\(279\) −12.6419 + 22.6349i −0.756849 + 1.35511i
\(280\) 3.32681 7.28469i 0.198815 0.435344i
\(281\) −19.3165 + 5.67184i −1.15233 + 0.338354i −0.801447 0.598066i \(-0.795936\pi\)
−0.350881 + 0.936420i \(0.614118\pi\)
\(282\) −3.31235 13.2414i −0.197248 0.788513i
\(283\) −7.96292 + 6.89991i −0.473347 + 0.410157i −0.858594 0.512656i \(-0.828662\pi\)
0.385247 + 0.922813i \(0.374116\pi\)
\(284\) −3.89671 + 0.560262i −0.231227 + 0.0332454i
\(285\) −17.5448 + 34.6356i −1.03927 + 2.05164i
\(286\) −0.0876718 0.0759680i −0.00518414 0.00449208i
\(287\) −5.65568 3.63468i −0.333844 0.214549i
\(288\) −2.41870 + 1.77480i −0.142523 + 0.104581i
\(289\) 3.04245 3.51117i 0.178967 0.206539i
\(290\) 19.6006 + 5.75526i 1.15099 + 0.337960i
\(291\) 6.78529 + 0.274807i 0.397761 + 0.0161095i
\(292\) −3.98268 4.59626i −0.233069 0.268976i
\(293\) 0.626345 + 1.37150i 0.0365914 + 0.0801241i 0.927045 0.374950i \(-0.122340\pi\)
−0.890454 + 0.455074i \(0.849613\pi\)
\(294\) −0.226350 2.20443i −0.0132010 0.128565i
\(295\) −30.9649 14.1412i −1.80284 0.823331i
\(296\) 1.31212 9.12597i 0.0762653 0.530436i
\(297\) −0.906194 + 0.0193634i −0.0525827 + 0.00112358i
\(298\) 18.2179i 1.05533i
\(299\) −3.15394 0.474224i −0.182397 0.0274251i
\(300\) −10.5779 1.96070i −0.610714 0.113201i
\(301\) 11.6576 7.49190i 0.671934 0.431826i
\(302\) 7.02752 + 1.01040i 0.404388 + 0.0581423i
\(303\) 18.9958 + 13.3240i 1.09128 + 0.765444i
\(304\) −1.88613 6.42358i −0.108177 0.368417i
\(305\) −1.90695 + 0.870874i −0.109192 + 0.0498661i
\(306\) −9.91443 + 3.59034i −0.566770 + 0.205246i
\(307\) −2.15733 15.0046i −0.123125 0.856356i −0.953981 0.299867i \(-0.903058\pi\)
0.830856 0.556488i \(-0.187852\pi\)
\(308\) −0.117543 + 0.400313i −0.00669761 + 0.0228100i
\(309\) −1.41835 1.77738i −0.0806872 0.101112i
\(310\) 15.6440 24.3425i 0.888519 1.38256i
\(311\) 2.59708 4.04114i 0.147267 0.229152i −0.759781 0.650179i \(-0.774694\pi\)
0.907048 + 0.421027i \(0.138330\pi\)
\(312\) −0.718470 0.900339i −0.0406754 0.0509716i
\(313\) −3.56220 + 12.1317i −0.201348 + 0.685727i 0.795469 + 0.605995i \(0.207225\pi\)
−0.996816 + 0.0797321i \(0.974594\pi\)
\(314\) 0.244727 + 1.70212i 0.0138108 + 0.0960560i
\(315\) 22.5896 8.18043i 1.27278 0.460915i
\(316\) 4.73390 2.16190i 0.266302 0.121616i
\(317\) −1.40230 4.77580i −0.0787610 0.268235i 0.910693 0.413084i \(-0.135549\pi\)
−0.989454 + 0.144849i \(0.953730\pi\)
\(318\) 16.7577 + 11.7542i 0.939727 + 0.659142i
\(319\) −1.05341 0.151458i −0.0589797 0.00847999i
\(320\) 2.81678 1.81023i 0.157463 0.101195i
\(321\) −3.53903 0.655988i −0.197529 0.0366137i
\(322\) 3.16066 + 11.0265i 0.176137 + 0.614483i
\(323\) 23.5310i 1.30930i
\(324\) −8.88229 1.45086i −0.493460 0.0806034i
\(325\) 0.587851 4.08859i 0.0326081 0.226794i
\(326\) −0.905402 0.413483i −0.0501456 0.0229007i
\(327\) 0.514399 + 5.00973i 0.0284463 + 0.277039i
\(328\) −1.16767 2.55684i −0.0644738 0.141178i
\(329\) −12.3430 14.2446i −0.680493 0.785331i
\(330\) 1.01081 + 0.0409382i 0.0556431 + 0.00225357i
\(331\) −7.66449 2.25050i −0.421279 0.123699i 0.0642205 0.997936i \(-0.479544\pi\)
−0.485499 + 0.874237i \(0.661362\pi\)
\(332\) 7.78544 8.98488i 0.427282 0.493109i
\(333\) 22.2999 16.3633i 1.22203 0.896705i
\(334\) −9.31688 5.98760i −0.509797 0.327627i
\(335\) 18.9280 + 16.4012i 1.03415 + 0.896092i
\(336\) −1.87201 + 3.69558i −0.102127 + 0.201610i
\(337\) −7.97998 + 1.14735i −0.434697 + 0.0625001i −0.356190 0.934413i \(-0.615924\pi\)
−0.0785073 + 0.996914i \(0.525015\pi\)
\(338\) −9.49050 + 8.22356i −0.516215 + 0.447303i
\(339\) 4.37446 + 17.4872i 0.237588 + 0.949777i
\(340\) 11.2920 3.31564i 0.612396 0.179816i
\(341\) −0.626230 + 1.37125i −0.0339122 + 0.0742575i
\(342\) 9.79340 17.5348i 0.529566 0.948172i
\(343\) −10.7060 16.6589i −0.578072 0.899497i
\(344\) 5.79379 0.312380
\(345\) 24.0774 13.9229i 1.29628 0.749586i
\(346\) −2.42055 −0.130129
\(347\) 0.838961 + 1.30545i 0.0450378 + 0.0700802i 0.863042 0.505132i \(-0.168556\pi\)
−0.818005 + 0.575212i \(0.804920\pi\)
\(348\) −10.0104 3.38501i −0.536616 0.181456i
\(349\) 0.688116 1.50676i 0.0368340 0.0806552i −0.890321 0.455334i \(-0.849520\pi\)
0.927155 + 0.374679i \(0.122247\pi\)
\(350\) −14.2539 + 4.18534i −0.761906 + 0.223716i
\(351\) 0.418602 3.43017i 0.0223433 0.183089i
\(352\) −0.131831 + 0.114232i −0.00702659 + 0.00608858i
\(353\) 20.8552 2.99853i 1.11001 0.159596i 0.437168 0.899380i \(-0.355981\pi\)
0.672844 + 0.739784i \(0.265072\pi\)
\(354\) 15.7087 + 7.95732i 0.834909 + 0.422927i
\(355\) 9.96195 + 8.63208i 0.528726 + 0.458143i
\(356\) −12.7698 8.20665i −0.676798 0.434952i
\(357\) −9.97281 + 10.6094i −0.527817 + 0.561511i
\(358\) 8.28881 9.56580i 0.438077 0.505568i
\(359\) 5.28399 + 1.55152i 0.278878 + 0.0818860i 0.418181 0.908364i \(-0.362668\pi\)
−0.139303 + 0.990250i \(0.544486\pi\)
\(360\) 9.79451 + 2.22891i 0.516216 + 0.117474i
\(361\) 16.9084 + 19.5133i 0.889916 + 1.02702i
\(362\) −3.84308 8.41517i −0.201988 0.442292i
\(363\) 18.9005 1.94070i 0.992018 0.101860i
\(364\) −1.44687 0.660763i −0.0758366 0.0346334i
\(365\) −2.89803 + 20.1562i −0.151690 + 1.05502i
\(366\) 1.00387 0.410208i 0.0524731 0.0214419i
\(367\) 14.8562i 0.775487i 0.921767 + 0.387744i \(0.126745\pi\)
−0.921767 + 0.387744i \(0.873255\pi\)
\(368\) −1.38076 + 4.59277i −0.0719769 + 0.239415i
\(369\) 3.02225 7.87235i 0.157332 0.409818i
\(370\) −25.9702 + 16.6900i −1.35012 + 0.867672i
\(371\) 27.9778 + 4.02261i 1.45254 + 0.208843i
\(372\) −8.59544 + 12.2544i −0.445653 + 0.635360i
\(373\) 1.27986 + 4.35881i 0.0662688 + 0.225691i 0.985968 0.166932i \(-0.0533860\pi\)
−0.919700 + 0.392623i \(0.871568\pi\)
\(374\) −0.557711 + 0.254698i −0.0288385 + 0.0131701i
\(375\) 3.55528 + 6.05788i 0.183594 + 0.312828i
\(376\) −1.12151 7.80027i −0.0578374 0.402268i
\(377\) 1.14310 3.89303i 0.0588725 0.200501i
\(378\) −11.8471 + 3.75532i −0.609348 + 0.193153i
\(379\) −16.9516 + 26.3772i −0.870745 + 1.35491i 0.0633915 + 0.997989i \(0.479808\pi\)
−0.934136 + 0.356917i \(0.883828\pi\)
\(380\) −12.1191 + 18.8576i −0.621695 + 0.967377i
\(381\) −29.2894 + 23.3729i −1.50054 + 1.19743i
\(382\) −0.414394 + 1.41130i −0.0212023 + 0.0722083i
\(383\) −1.57094 10.9261i −0.0802712 0.558298i −0.989779 0.142611i \(-0.954450\pi\)
0.909508 0.415687i \(-0.136459\pi\)
\(384\) −1.49379 + 0.876686i −0.0762299 + 0.0447382i
\(385\) 1.27072 0.580318i 0.0647618 0.0295757i
\(386\) 1.72770 + 5.88402i 0.0879379 + 0.299489i
\(387\) 12.1725 + 12.4074i 0.618761 + 0.630703i
\(388\) 3.88079 + 0.557974i 0.197017 + 0.0283268i
\(389\) 7.36837 4.73537i 0.373591 0.240093i −0.340349 0.940299i \(-0.610545\pi\)
0.713940 + 0.700207i \(0.246909\pi\)
\(390\) −0.702920 + 3.79223i −0.0355937 + 0.192027i
\(391\) −9.20450 + 14.1216i −0.465491 + 0.714162i
\(392\) 1.27942i 0.0646204i
\(393\) −6.66704 16.3157i −0.336308 0.823020i
\(394\) −3.10316 + 21.5829i −0.156335 + 1.08733i
\(395\) −15.8505 7.23870i −0.797527 0.364219i
\(396\) −0.521597 0.0423192i −0.0262112 0.00212662i
\(397\) −8.98453 19.6734i −0.450921 0.987378i −0.989464 0.144780i \(-0.953752\pi\)
0.538543 0.842598i \(-0.318975\pi\)
\(398\) −0.279570 0.322641i −0.0140136 0.0161725i
\(399\) 1.12233 27.7115i 0.0561867 1.38731i
\(400\) −5.95957 1.74989i −0.297979 0.0874944i
\(401\) −20.6984 + 23.8872i −1.03363 + 1.19287i −0.0526774 + 0.998612i \(0.516776\pi\)
−0.980950 + 0.194258i \(0.937770\pi\)
\(402\) −9.43992 8.87346i −0.470820 0.442568i
\(403\) −4.83486 3.10717i −0.240841 0.154779i
\(404\) 10.1241 + 8.77261i 0.503694 + 0.436454i
\(405\) 15.8046 + 25.6577i 0.785336 + 1.27494i
\(406\) −14.4437 + 2.07669i −0.716830 + 0.103065i
\(407\) 1.21545 1.05320i 0.0602478 0.0522050i
\(408\) −5.90589 + 1.47737i −0.292385 + 0.0731405i
\(409\) −8.06409 + 2.36783i −0.398744 + 0.117082i −0.474955 0.880010i \(-0.657536\pi\)
0.0762116 + 0.997092i \(0.475718\pi\)
\(410\) −3.90972 + 8.56109i −0.193087 + 0.422802i
\(411\) 5.70783 16.8797i 0.281546 0.832612i
\(412\) −0.709786 1.10445i −0.0349687 0.0544123i
\(413\) 24.3163 1.19653
\(414\) −12.7363 + 6.69229i −0.625955 + 0.328908i
\(415\) −39.8070 −1.95405
\(416\) −0.359544 0.559462i −0.0176281 0.0274299i
\(417\) −1.41750 + 4.19196i −0.0694155 + 0.205281i
\(418\) 0.485127 1.06228i 0.0237284 0.0519578i
\(419\) −3.68715 + 1.08265i −0.180129 + 0.0528907i −0.370553 0.928811i \(-0.620832\pi\)
0.190424 + 0.981702i \(0.439014\pi\)
\(420\) 13.4563 3.36611i 0.656601 0.164250i
\(421\) 7.60912 6.59334i 0.370846 0.321340i −0.449422 0.893320i \(-0.648370\pi\)
0.820268 + 0.571980i \(0.193824\pi\)
\(422\) 9.91908 1.42615i 0.482853 0.0694238i
\(423\) 14.3480 18.7897i 0.697624 0.913586i
\(424\) 8.93131 + 7.73902i 0.433743 + 0.375840i
\(425\) −18.3656 11.8029i −0.890862 0.572522i
\(426\) −4.96831 4.67018i −0.240715 0.226271i
\(427\) 0.980656 1.13174i 0.0474573 0.0547686i
\(428\) −1.99389 0.585458i −0.0963782 0.0282992i
\(429\) 0.00813105 0.200764i 0.000392571 0.00969299i
\(430\) −12.7039 14.6611i −0.612637 0.707020i
\(431\) 0.368781 + 0.807518i 0.0177636 + 0.0388968i 0.918306 0.395872i \(-0.129557\pi\)
−0.900542 + 0.434768i \(0.856830\pi\)
\(432\) −5.01581 1.35708i −0.241323 0.0652927i
\(433\) −12.4673 5.69362i −0.599140 0.273618i 0.0926709 0.995697i \(-0.470460\pi\)
−0.691811 + 0.722079i \(0.743187\pi\)
\(434\) −2.94160 + 20.4593i −0.141201 + 0.982076i
\(435\) 13.3839 + 32.7535i 0.641711 + 1.57041i
\(436\) 2.90758i 0.139248i
\(437\) −4.36448 31.8089i −0.208782 1.52163i
\(438\) 1.91983 10.3574i 0.0917332 0.494897i
\(439\) 22.2826 14.3202i 1.06349 0.683464i 0.112804 0.993617i \(-0.464017\pi\)
0.950686 + 0.310154i \(0.100380\pi\)
\(440\) 0.578124 + 0.0831216i 0.0275610 + 0.00396267i
\(441\) 2.73987 2.68799i 0.130470 0.128000i
\(442\) −0.658545 2.24280i −0.0313238 0.106679i
\(443\) −3.04728 + 1.39165i −0.144781 + 0.0661191i −0.486488 0.873687i \(-0.661722\pi\)
0.341707 + 0.939806i \(0.388995\pi\)
\(444\) 13.7725 8.08288i 0.653615 0.383597i
\(445\) 7.23324 + 50.3083i 0.342888 + 2.38484i
\(446\) −1.30015 + 4.42789i −0.0615637 + 0.209667i
\(447\) −24.6638 + 19.6817i −1.16656 + 0.930912i
\(448\) −1.29309 + 2.01209i −0.0610928 + 0.0950622i
\(449\) 17.7152 27.5654i 0.836031 1.30089i −0.115491 0.993309i \(-0.536844\pi\)
0.951522 0.307581i \(-0.0995196\pi\)
\(450\) −8.77339 16.4388i −0.413582 0.774934i
\(451\) 0.138138 0.470455i 0.00650466 0.0221528i
\(452\) 1.48112 + 10.3014i 0.0696661 + 0.484539i
\(453\) 6.22428 + 10.6056i 0.292442 + 0.498296i
\(454\) 3.65469 1.66904i 0.171523 0.0783320i
\(455\) 1.50047 + 5.11012i 0.0703429 + 0.239566i
\(456\) 6.65871 9.49321i 0.311823 0.444560i
\(457\) −21.6467 3.11233i −1.01259 0.145588i −0.384006 0.923330i \(-0.625456\pi\)
−0.628584 + 0.777742i \(0.716365\pi\)
\(458\) −5.44616 + 3.50003i −0.254482 + 0.163546i
\(459\) −15.5718 9.54357i −0.726828 0.445456i
\(460\) 14.6495 6.57647i 0.683035 0.306630i
\(461\) 32.3466i 1.50653i −0.657715 0.753267i \(-0.728477\pi\)
0.657715 0.753267i \(-0.271523\pi\)
\(462\) −0.668942 + 0.273347i −0.0311220 + 0.0127173i
\(463\) 1.87739 13.0575i 0.0872497 0.606835i −0.898545 0.438881i \(-0.855375\pi\)
0.985795 0.167954i \(-0.0537160\pi\)
\(464\) −5.54968 2.53446i −0.257638 0.117659i
\(465\) 49.8565 5.11926i 2.31204 0.237400i
\(466\) 8.65833 + 18.9591i 0.401089 + 0.878263i
\(467\) 15.3824 + 17.7523i 0.711815 + 0.821478i 0.990298 0.138963i \(-0.0443770\pi\)
−0.278483 + 0.960441i \(0.589832\pi\)
\(468\) 0.442701 1.94536i 0.0204638 0.0899245i
\(469\) −17.1657 5.04032i −0.792640 0.232740i
\(470\) −17.2793 + 19.9414i −0.797037 + 0.919829i
\(471\) −2.03997 + 2.17020i −0.0939971 + 0.0999976i
\(472\) 8.55273 + 5.49651i 0.393671 + 0.252997i
\(473\) 0.763799 + 0.661836i 0.0351195 + 0.0304312i
\(474\) 8.04110 + 4.07326i 0.369340 + 0.187091i
\(475\) 41.1591 5.91778i 1.88851 0.271526i
\(476\) −6.35335 + 5.50521i −0.291205 + 0.252331i
\(477\) 2.19115 + 35.3857i 0.100326 + 1.62020i
\(478\) 8.68772 2.55094i 0.397367 0.116677i
\(479\) −6.11943 + 13.3997i −0.279604 + 0.612247i −0.996376 0.0850605i \(-0.972892\pi\)
0.716772 + 0.697308i \(0.245619\pi\)
\(480\) 5.49384 + 1.85773i 0.250759 + 0.0847936i
\(481\) 3.31493 + 5.15814i 0.151148 + 0.235191i
\(482\) 4.06334 0.185080
\(483\) −11.5133 + 16.1915i −0.523874 + 0.736737i
\(484\) 10.9696 0.498617
\(485\) −7.09738 11.0437i −0.322275 0.501470i
\(486\) −7.63178 13.5925i −0.346184 0.616568i
\(487\) 10.3827 22.7350i 0.470486 1.03022i −0.514485 0.857499i \(-0.672017\pi\)
0.984971 0.172721i \(-0.0552559\pi\)
\(488\) 0.600744 0.176394i 0.0271944 0.00798500i
\(489\) −0.418369 1.67246i −0.0189193 0.0756314i
\(490\) −3.23755 + 2.80535i −0.146257 + 0.126733i
\(491\) 9.28010 1.33428i 0.418805 0.0602151i 0.0703089 0.997525i \(-0.477602\pi\)
0.348496 + 0.937310i \(0.386692\pi\)
\(492\) 2.20002 4.34310i 0.0991845 0.195802i
\(493\) −16.2063 14.0429i −0.729897 0.632459i
\(494\) 3.74546 + 2.40706i 0.168516 + 0.108299i
\(495\) 1.03660 + 1.41268i 0.0465919 + 0.0634954i
\(496\) −5.65929 + 6.53117i −0.254110 + 0.293258i
\(497\) −9.03448 2.65276i −0.405252 0.118993i
\(498\) 20.5750 + 0.833296i 0.921986 + 0.0373409i
\(499\) 6.20722 + 7.16351i 0.277873 + 0.320683i 0.877481 0.479611i \(-0.159222\pi\)
−0.599608 + 0.800294i \(0.704677\pi\)
\(500\) 1.68466 + 3.68889i 0.0753403 + 0.164972i
\(501\) −1.95935 19.0821i −0.0875374 0.852527i
\(502\) −4.77847 2.18225i −0.213274 0.0973988i
\(503\) −3.97959 + 27.6786i −0.177441 + 1.23413i 0.685216 + 0.728340i \(0.259708\pi\)
−0.862657 + 0.505789i \(0.831201\pi\)
\(504\) −7.02560 + 1.45815i −0.312945 + 0.0649511i
\(505\) 44.8544i 1.99600i
\(506\) −0.706666 + 0.447741i −0.0314151 + 0.0199045i
\(507\) −21.3863 3.96413i −0.949801 0.176053i
\(508\) −18.2002 + 11.6965i −0.807502 + 0.518950i
\(509\) −34.8720 5.01384i −1.54568 0.222235i −0.683920 0.729557i \(-0.739726\pi\)
−0.861756 + 0.507323i \(0.830635\pi\)
\(510\) 16.6882 + 11.7054i 0.738964 + 0.518323i
\(511\) −4.09811 13.9569i −0.181290 0.617416i
\(512\) −0.909632 + 0.415415i −0.0402004 + 0.0183589i
\(513\) 34.3193 5.68517i 1.51523 0.251006i
\(514\) −2.60151 18.0939i −0.114748 0.798088i
\(515\) −1.23846 + 4.21780i −0.0545730 + 0.185858i
\(516\) 6.25933 + 7.84378i 0.275552 + 0.345303i
\(517\) 0.743190 1.15643i 0.0326855 0.0508596i
\(518\) 11.9221 18.5511i 0.523825 0.815088i
\(519\) −2.61504 3.27700i −0.114788 0.143844i
\(520\) −0.627344 + 2.13654i −0.0275109 + 0.0936934i
\(521\) 0.0294211 + 0.204628i 0.00128896 + 0.00896492i 0.990456 0.137831i \(-0.0440131\pi\)
−0.989167 + 0.146796i \(0.953104\pi\)
\(522\) −6.23208 17.2094i −0.272771 0.753235i
\(523\) 13.7188 6.26517i 0.599882 0.273957i −0.0922407 0.995737i \(-0.529403\pi\)
0.692123 + 0.721780i \(0.256676\pi\)
\(524\) −2.86691 9.76380i −0.125242 0.426533i
\(525\) −21.0655 14.7757i −0.919373 0.644865i
\(526\) 22.9608 + 3.30127i 1.00114 + 0.143942i
\(527\) −25.5532 + 16.4220i −1.11311 + 0.715355i
\(528\) −0.297073 0.0550649i −0.0129285 0.00239639i
\(529\) −9.82329 + 20.7967i −0.427099 + 0.904205i
\(530\) 39.5697i 1.71880i
\(531\) 6.19812 + 29.8635i 0.268975 + 1.29597i
\(532\) 2.27880 15.8494i 0.0987983 0.687158i
\(533\) 1.70038 + 0.776539i 0.0736518 + 0.0336357i
\(534\) −2.68550 26.1541i −0.116213 1.13180i
\(535\) 2.89046 + 6.32922i 0.124965 + 0.273636i
\(536\) −4.89835 5.65299i −0.211576 0.244172i
\(537\) 21.9052 + 0.887172i 0.945281 + 0.0382843i
\(538\) −8.78029 2.57813i −0.378545 0.111151i
\(539\) 0.146150 0.168667i 0.00629514 0.00726498i
\(540\) 7.56397 + 15.6681i 0.325501 + 0.674246i
\(541\) 33.1433 + 21.2999i 1.42494 + 0.915754i 0.999944 + 0.0105589i \(0.00336105\pi\)
0.424997 + 0.905195i \(0.360275\pi\)
\(542\) 20.2050 + 17.5078i 0.867881 + 0.752023i
\(543\) 7.24079 14.2942i 0.310732 0.613423i
\(544\) −3.47906 + 0.500213i −0.149163 + 0.0214465i
\(545\) 7.35758 6.37538i 0.315164 0.273091i
\(546\) −0.668570 2.67266i −0.0286122 0.114379i
\(547\) −13.5569 + 3.98068i −0.579653 + 0.170201i −0.558399 0.829573i \(-0.688584\pi\)
−0.0212542 + 0.999774i \(0.506766\pi\)
\(548\) 4.27361 9.35790i 0.182560 0.399750i
\(549\) 1.63988 + 0.915895i 0.0699884 + 0.0390895i
\(550\) −0.585761 0.911462i −0.0249769 0.0388649i
\(551\) 40.8449 1.74005
\(552\) −7.70950 + 3.09250i −0.328138 + 0.131626i
\(553\) 12.4472 0.529311
\(554\) 15.0282 + 23.3843i 0.638486 + 0.993503i
\(555\) −50.6523 17.1280i −2.15007 0.727042i
\(556\) −1.06133 + 2.32398i −0.0450102 + 0.0985586i
\(557\) −13.5725 + 3.98526i −0.575087 + 0.168861i −0.556327 0.830963i \(-0.687790\pi\)
−0.0187599 + 0.999824i \(0.505972\pi\)
\(558\) −25.8764 + 1.60232i −1.09543 + 0.0678314i
\(559\) −2.91195 + 2.52322i −0.123162 + 0.106721i
\(560\) 7.92688 1.13971i 0.334972 0.0481617i
\(561\) −0.947340 0.479879i −0.0399967 0.0202605i
\(562\) −15.2148 13.1837i −0.641796 0.556119i
\(563\) −7.24324 4.65495i −0.305266 0.196183i 0.379035 0.925382i \(-0.376256\pi\)
−0.684301 + 0.729200i \(0.739892\pi\)
\(564\) 9.34857 9.94536i 0.393646 0.418775i
\(565\) 22.8200 26.3357i 0.960044 1.10795i
\(566\) −10.1097 2.96846i −0.424941 0.124774i
\(567\) −17.8831 11.9818i −0.751018 0.503188i
\(568\) −2.57804 2.97522i −0.108172 0.124837i
\(569\) −3.20388 7.01552i −0.134314 0.294106i 0.830510 0.557004i \(-0.188049\pi\)
−0.964824 + 0.262898i \(0.915322\pi\)
\(570\) −38.6228 + 3.96579i −1.61773 + 0.166109i
\(571\) −15.9160 7.26859i −0.666064 0.304181i 0.0535404 0.998566i \(-0.482949\pi\)
−0.719604 + 0.694385i \(0.755677\pi\)
\(572\) 0.0165094 0.114826i 0.000690294 0.00480110i
\(573\) −2.35834 + 0.963680i −0.0985211 + 0.0402583i
\(574\) 6.72292i 0.280609i
\(575\) −27.0156 12.5486i −1.12663 0.523311i
\(576\) −2.80070 1.07521i −0.116696 0.0448003i
\(577\) −17.9450 + 11.5325i −0.747058 + 0.480105i −0.857954 0.513727i \(-0.828264\pi\)
0.110896 + 0.993832i \(0.464628\pi\)
\(578\) 4.59865 + 0.661187i 0.191279 + 0.0275017i
\(579\) −6.09941 + 8.69582i −0.253483 + 0.361386i
\(580\) 5.75526 + 19.6006i 0.238974 + 0.813871i
\(581\) 25.8655 11.8124i 1.07308 0.490059i
\(582\) 3.43722 + 5.85672i 0.142477 + 0.242769i
\(583\) 0.293377 + 2.04048i 0.0121504 + 0.0845081i
\(584\) 1.71342 5.83537i 0.0709018 0.241469i
\(585\) −5.89341 + 3.14531i −0.243663 + 0.130042i
\(586\) −0.815155 + 1.26841i −0.0336737 + 0.0523973i
\(587\) −8.61402 + 13.4037i −0.355539 + 0.553229i −0.972245 0.233964i \(-0.924830\pi\)
0.616706 + 0.787193i \(0.288467\pi\)
\(588\) 1.73211 1.38222i 0.0714309 0.0570019i
\(589\) 16.2999 55.5124i 0.671626 2.28735i
\(590\) −4.84455 33.6946i −0.199447 1.38718i
\(591\) −32.5720 + 19.1160i −1.33983 + 0.786329i
\(592\) 8.38664 3.83005i 0.344689 0.157414i
\(593\) 12.4444 + 42.3816i 0.511029 + 1.74041i 0.659710 + 0.751520i \(0.270679\pi\)
−0.148681 + 0.988885i \(0.547503\pi\)
\(594\) −0.506215 0.751870i −0.0207702 0.0308496i
\(595\) 27.8617 + 4.00590i 1.14222 + 0.164226i
\(596\) −15.3258 + 9.84932i −0.627771 + 0.403444i
\(597\) 0.134765 0.727053i 0.00551557 0.0297563i
\(598\) −1.30620 2.90964i −0.0534147 0.118984i
\(599\) 17.2927i 0.706560i 0.935518 + 0.353280i \(0.114934\pi\)
−0.935518 + 0.353280i \(0.885066\pi\)
\(600\) −4.06939 9.95871i −0.166132 0.406563i
\(601\) −3.18966 + 22.1846i −0.130109 + 0.904928i 0.815299 + 0.579040i \(0.196572\pi\)
−0.945408 + 0.325888i \(0.894337\pi\)
\(602\) 12.6052 + 5.75659i 0.513748 + 0.234621i
\(603\) 1.81468 22.3665i 0.0738995 0.910832i
\(604\) 2.94936 + 6.45819i 0.120008 + 0.262780i
\(605\) −24.0527 27.7583i −0.977882 1.12854i
\(606\) −0.938955 + 23.1838i −0.0381424 + 0.941777i
\(607\) 28.7490 + 8.44146i 1.16688 + 0.342628i 0.807104 0.590409i \(-0.201034\pi\)
0.359780 + 0.933037i \(0.382852\pi\)
\(608\) 4.38414 5.05956i 0.177800 0.205192i
\(609\) −18.4158 17.3107i −0.746245 0.701466i
\(610\) −1.76360 1.13340i −0.0714061 0.0458899i
\(611\) 3.96072 + 3.43198i 0.160234 + 0.138843i
\(612\) −8.38053 6.39947i −0.338763 0.258683i
\(613\) −19.0654 + 2.74119i −0.770043 + 0.110715i −0.516128 0.856511i \(-0.672627\pi\)
−0.253914 + 0.967227i \(0.581718\pi\)
\(614\) 11.4563 9.92694i 0.462339 0.400619i
\(615\) −15.8141 + 3.95591i −0.637685 + 0.159518i
\(616\) −0.400313 + 0.117543i −0.0161291 + 0.00473593i
\(617\) −17.4628 + 38.2382i −0.703026 + 1.53941i 0.133238 + 0.991084i \(0.457463\pi\)
−0.836264 + 0.548328i \(0.815265\pi\)
\(618\) 0.728411 2.15412i 0.0293010 0.0866514i
\(619\) 22.5746 + 35.1268i 0.907352 + 1.41187i 0.911241 + 0.411874i \(0.135126\pi\)
−0.00388892 + 0.999992i \(0.501238\pi\)
\(620\) 28.9360 1.16210
\(621\) −22.8199 10.0127i −0.915730 0.401795i
\(622\) 4.80371 0.192611
\(623\) −19.6285 30.5425i −0.786398 1.22366i
\(624\) 0.368979 1.09118i 0.0147710 0.0436820i
\(625\) −7.26030 + 15.8978i −0.290412 + 0.635914i
\(626\) −12.1317 + 3.56220i −0.484882 + 0.142374i
\(627\) 1.96225 0.490859i 0.0783647 0.0196030i
\(628\) −1.29960 + 1.12611i −0.0518597 + 0.0449367i
\(629\) 32.0763 4.61187i 1.27897 0.183887i
\(630\) 19.0947 + 14.5809i 0.760750 + 0.580917i
\(631\) 29.5322 + 25.5898i 1.17566 + 1.01871i 0.999409 + 0.0343665i \(0.0109414\pi\)
0.176247 + 0.984346i \(0.443604\pi\)
\(632\) 4.37804 + 2.81360i 0.174149 + 0.111919i
\(633\) 12.6468 + 11.8880i 0.502667 + 0.472504i
\(634\) 3.25951 3.76168i 0.129452 0.149395i
\(635\) 69.5049 + 20.4085i 2.75822 + 0.809886i
\(636\) −0.828327 + 20.4523i −0.0328453 + 0.810986i
\(637\) 0.557192 + 0.643034i 0.0220768 + 0.0254779i
\(638\) −0.442102 0.968069i −0.0175030 0.0383262i
\(639\) 0.955082 11.7717i 0.0377825 0.465680i
\(640\) 3.04573 + 1.39094i 0.120393 + 0.0549816i
\(641\) 4.47358 31.1145i 0.176696 1.22895i −0.687647 0.726045i \(-0.741356\pi\)
0.864343 0.502902i \(-0.167734\pi\)
\(642\) −1.36149 3.33187i −0.0537338 0.131499i
\(643\) 15.5189i 0.612005i 0.952031 + 0.306003i \(0.0989916\pi\)
−0.952031 + 0.306003i \(0.901008\pi\)
\(644\) −7.56729 + 8.62029i −0.298193 + 0.339687i
\(645\) 6.12386 33.0380i 0.241127 1.30087i
\(646\) 19.7955 12.7218i 0.778844 0.500533i
\(647\) −18.9730 2.72790i −0.745904 0.107245i −0.241126 0.970494i \(-0.577517\pi\)
−0.504778 + 0.863249i \(0.668426\pi\)
\(648\) −3.58158 8.25665i −0.140698 0.324352i
\(649\) 0.499636 + 1.70160i 0.0196124 + 0.0667937i
\(650\) 3.75736 1.71593i 0.147376 0.0673042i
\(651\) −30.8762 + 18.1208i −1.21013 + 0.710210i
\(652\) −0.141653 0.985219i −0.00554756 0.0385842i
\(653\) 0.503391 1.71439i 0.0196992 0.0670894i −0.949057 0.315105i \(-0.897960\pi\)
0.968756 + 0.248016i \(0.0797784\pi\)
\(654\) −3.93635 + 3.14121i −0.153924 + 0.122831i
\(655\) −18.4209 + 28.6635i −0.719765 + 1.11998i
\(656\) 1.51966 2.36464i 0.0593328 0.0923236i
\(657\) 16.0962 8.59054i 0.627974 0.335149i
\(658\) 5.31019 18.0848i 0.207013 0.705021i
\(659\) −0.757007 5.26510i −0.0294888 0.205099i 0.969750 0.244099i \(-0.0784921\pi\)
−0.999239 + 0.0389994i \(0.987583\pi\)
\(660\) 0.512044 + 0.872478i 0.0199313 + 0.0339612i
\(661\) −10.3085 + 4.70775i −0.400956 + 0.183110i −0.605678 0.795710i \(-0.707098\pi\)
0.204722 + 0.978820i \(0.434371\pi\)
\(662\) −2.25050 7.66449i −0.0874681 0.297889i
\(663\) 2.32489 3.31456i 0.0902914 0.128727i
\(664\) 11.7677 + 1.69194i 0.456675 + 0.0656599i
\(665\) −45.1032 + 28.9861i −1.74903 + 1.12403i
\(666\) 25.8220 + 9.91321i 1.00058 + 0.384129i
\(667\) −24.5122 15.9771i −0.949117 0.618635i
\(668\) 11.0750i 0.428505i
\(669\) −7.39920 + 3.02351i −0.286070 + 0.116896i
\(670\) −3.56432 + 24.7904i −0.137702 + 0.957735i
\(671\) 0.0993463 + 0.0453699i 0.00383522 + 0.00175149i
\(672\) −4.12101 + 0.423145i −0.158971 + 0.0163232i
\(673\) 2.75706 + 6.03712i 0.106277 + 0.232714i 0.955298 0.295645i \(-0.0955347\pi\)
−0.849021 + 0.528359i \(0.822807\pi\)
\(674\) −5.27952 6.09289i −0.203359 0.234689i
\(675\) 12.7770 29.6373i 0.491785 1.14074i
\(676\) −12.0491 3.53792i −0.463425 0.136074i
\(677\) 21.5893 24.9153i 0.829743 0.957575i −0.169868 0.985467i \(-0.554334\pi\)
0.999611 + 0.0278922i \(0.00887951\pi\)
\(678\) −12.3462 + 13.1343i −0.474153 + 0.504422i
\(679\) 7.88880 + 5.06982i 0.302744 + 0.194562i
\(680\) 8.89423 + 7.70689i 0.341078 + 0.295546i
\(681\) 6.20794 + 3.14466i 0.237889 + 0.120504i
\(682\) −1.49214 + 0.214537i −0.0571368 + 0.00821504i
\(683\) −4.45133 + 3.85710i −0.170325 + 0.147588i −0.735852 0.677142i \(-0.763218\pi\)
0.565527 + 0.824730i \(0.308673\pi\)
\(684\) 20.0459 1.24128i 0.766474 0.0474616i
\(685\) −33.0506 + 9.70455i −1.26280 + 0.370792i
\(686\) 8.22625 18.0130i 0.314080 0.687739i
\(687\) −10.6222 3.59188i −0.405262 0.137039i
\(688\) 3.13236 + 4.87405i 0.119420 + 0.185821i
\(689\) −7.85924 −0.299413
\(690\) 24.7300 + 12.7279i 0.941454 + 0.484543i
\(691\) 14.0488 0.534442 0.267221 0.963635i \(-0.413895\pi\)
0.267221 + 0.963635i \(0.413895\pi\)
\(692\) −1.30865 2.03629i −0.0497473 0.0774083i
\(693\) −1.09276 0.610319i −0.0415104 0.0231841i
\(694\) −0.644637 + 1.41156i −0.0244701 + 0.0535820i
\(695\) 8.20793 2.41007i 0.311344 0.0914190i
\(696\) −2.56440 10.2514i −0.0972033 0.388578i
\(697\) 7.46656 6.46981i 0.282816 0.245061i
\(698\) 1.63959 0.235738i 0.0620595 0.00892281i
\(699\) −16.3132 + 32.2043i −0.617024 + 1.21808i
\(700\) −11.2272 9.72842i −0.424348 0.367700i
\(701\) −7.79469 5.00934i −0.294401 0.189200i 0.385099 0.922875i \(-0.374167\pi\)
−0.679501 + 0.733675i \(0.737804\pi\)
\(702\) 3.11195 1.50234i 0.117453 0.0567021i
\(703\) −40.4210 + 46.6483i −1.52451 + 1.75937i
\(704\) −0.167371 0.0491445i −0.00630803 0.00185220i
\(705\) −45.6650 1.84945i −1.71984 0.0696544i
\(706\) 13.7977 + 15.9234i 0.519284 + 0.599286i
\(707\) 13.3101 + 29.1451i 0.500579 + 1.09611i
\(708\) 1.79865 + 17.5171i 0.0675974 + 0.658331i
\(709\) 37.3484 + 17.0564i 1.40265 + 0.640568i 0.965876 0.259004i \(-0.0833944\pi\)
0.436772 + 0.899572i \(0.356122\pi\)
\(710\) −1.87593 + 13.0474i −0.0704024 + 0.489660i
\(711\) 3.17274 + 15.2868i 0.118987 + 0.573299i
\(712\) 15.1795i 0.568875i
\(713\) −31.4966 + 26.9387i −1.17956 + 1.00886i
\(714\) −14.3169 2.65376i −0.535798 0.0993145i
\(715\) −0.326764 + 0.209998i −0.0122203 + 0.00785350i
\(716\) 12.5285 + 1.80133i 0.468213 + 0.0673189i
\(717\) 12.8393 + 9.00573i 0.479493 + 0.336325i
\(718\) 1.55152 + 5.28399i 0.0579022 + 0.197197i
\(719\) 13.1320 5.99720i 0.489742 0.223658i −0.155209 0.987882i \(-0.549605\pi\)
0.644951 + 0.764224i \(0.276878\pi\)
\(720\) 3.42024 + 9.44471i 0.127465 + 0.351983i
\(721\) −0.446878 3.10811i −0.0166426 0.115752i
\(722\) −7.27429 + 24.7740i −0.270721 + 0.921991i
\(723\) 4.38983 + 5.50104i 0.163260 + 0.204586i
\(724\) 5.00157 7.78259i 0.185882 0.289238i
\(725\) 20.4873 31.8788i 0.760879 1.18395i
\(726\) 11.8510 + 14.8509i 0.439832 + 0.551168i
\(727\) −3.71466 + 12.6510i −0.137769 + 0.469199i −0.999255 0.0385823i \(-0.987716\pi\)
0.861486 + 0.507781i \(0.169534\pi\)
\(728\) −0.226367 1.57442i −0.00838973 0.0583519i
\(729\) 10.1569 25.0168i 0.376180 0.926547i
\(730\) −18.5233 + 8.45930i −0.685577 + 0.313093i
\(731\) 5.73726 + 19.5393i 0.212200 + 0.722688i
\(732\) 0.887822 + 0.622734i 0.0328148 + 0.0230169i
\(733\) −32.6830 4.69910i −1.20717 0.173565i −0.490794 0.871276i \(-0.663293\pi\)
−0.716380 + 0.697711i \(0.754202\pi\)
\(734\) −12.4978 + 8.03187i −0.461303 + 0.296462i
\(735\) −7.29564 1.35231i −0.269104 0.0498806i
\(736\) −4.61017 + 1.32147i −0.169933 + 0.0487101i
\(737\) 1.30478i 0.0480624i
\(738\) 8.25659 1.71364i 0.303929 0.0630800i
\(739\) 6.07636 42.2620i 0.223522 1.55463i −0.501040 0.865424i \(-0.667049\pi\)
0.724563 0.689209i \(-0.242042\pi\)
\(740\) −28.0811 12.8242i −1.03228 0.471427i
\(741\) 0.787676 + 7.67118i 0.0289360 + 0.281808i
\(742\) 11.7419 + 25.7112i 0.431060 + 0.943889i
\(743\) −4.25720 4.91307i −0.156181 0.180243i 0.672266 0.740309i \(-0.265321\pi\)
−0.828448 + 0.560067i \(0.810776\pi\)
\(744\) −14.9561 0.605728i −0.548317 0.0222071i
\(745\) 58.5281 + 17.1854i 2.14431 + 0.629625i
\(746\) −2.97492 + 3.43324i −0.108920 + 0.125700i
\(747\) 21.1001 + 28.7551i 0.772011 + 1.05210i
\(748\) −0.515787 0.331476i −0.0188590 0.0121200i
\(749\) −3.75627 3.25483i −0.137251 0.118929i
\(750\) −3.17409 + 6.26603i −0.115901 + 0.228803i
\(751\) 40.7209 5.85478i 1.48593 0.213644i 0.648928 0.760850i \(-0.275217\pi\)
0.836998 + 0.547206i \(0.184308\pi\)
\(752\) 5.95567 5.16062i 0.217181 0.188188i
\(753\) −2.20804 8.82681i −0.0804654 0.321667i
\(754\) 3.89303 1.14310i 0.141776 0.0416291i
\(755\) 9.87536 21.6240i 0.359401 0.786979i
\(756\) −9.56419 7.93611i −0.347846 0.288634i
\(757\) −23.4969 36.5618i −0.854008 1.32886i −0.942987 0.332829i \(-0.891997\pi\)
0.0889786 0.996034i \(-0.471640\pi\)
\(758\) −31.3546 −1.13885
\(759\) −1.36961 0.472984i −0.0497137 0.0171682i
\(760\) −22.4161 −0.813119
\(761\) 18.9836 + 29.5390i 0.688154 + 1.07079i 0.992969 + 0.118377i \(0.0377691\pi\)
−0.304815 + 0.952412i \(0.598595\pi\)
\(762\) −35.4976 12.0035i −1.28594 0.434839i
\(763\) −2.88891 + 6.32583i −0.104586 + 0.229010i
\(764\) −1.41130 + 0.414394i −0.0510589 + 0.0149923i
\(765\) 2.18205 + 35.2387i 0.0788922 + 1.27406i
\(766\) 8.34232 7.22866i 0.301420 0.261182i
\(767\) −6.69235 + 0.962214i −0.241647 + 0.0347435i
\(768\) −1.54512 0.782688i −0.0557548 0.0282428i
\(769\) −7.25051 6.28260i −0.261460 0.226556i 0.514259 0.857635i \(-0.328067\pi\)
−0.775719 + 0.631079i \(0.782613\pi\)
\(770\) 1.17520 + 0.755253i 0.0423512 + 0.0272174i
\(771\) 21.6854 23.0698i 0.780982 0.830837i
\(772\)