Properties

Label 138.2.f.a.113.7
Level $138$
Weight $2$
Character 138.113
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 113.7
Character \(\chi\) \(=\) 138.113
Dual form 138.2.f.a.11.7

$q$-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 \(\left(\mathbb{Z}/138\mathbb{Z}\right)^\times\).

\(n\) \(47\) \(97\)
\(\chi(n)\) \(-1\) \(e\left(\frac{13}{22}\right)\)

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 0.905138 0.425117i \(-0.139767\pi\)
0.531615 + 0.846986i \(0.321585\pi\)
\(6\) −1.68028 0.420323i −0.685970 0.171596i
\(7\) −1.80758 1.56628i −0.683202 0.591998i 0.242546 0.970140i \(-0.422018\pi\)
−0.925747 + 0.378142i \(0.876563\pi\)
\(8\) −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 −0.562577 0.826745i \(-0.690190\pi\)
0.518331 + 0.855180i \(0.326553\pi\)
\(12\) −1.26202 + 1.18629i −0.364315 + 0.342454i
\(13\) 0.435504 + 0.502599i 0.120787 + 0.139396i 0.812922 0.582372i \(-0.197875\pi\)
−0.692135 + 0.721768i \(0.743330\pi\)
\(14\) −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 0.645799 + 0.763507i \(0.276524\pi\)
−0.999929 + 0.0119287i \(0.996203\pi\)
\(18\) 0.242605 + 2.99017i 0.0571825 + 0.704791i
\(19\) 6.08977 2.78111i 1.39709 0.638029i 0.432463 0.901652i \(-0.357645\pi\)
0.964626 + 0.263622i \(0.0849173\pi\)
\(20\) −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 0.857613 0.514296i \(-0.171947\pi\)
0.172938 + 0.984933i \(0.444674\pi\)
\(30\) −5.00168 2.93541i −0.913179 0.535931i
\(31\) −1.22988 + 8.55402i −0.220893 + 1.53635i 0.513778 + 0.857923i \(0.328246\pi\)
−0.734671 + 0.678423i \(0.762664\pi\)
\(32\) 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 −0.839500 0.543360i \(-0.817152\pi\)
0.412470 0.910971i \(-0.364666\pi\)
\(38\) 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 −0.874258 0.485462i \(-0.838651\pi\)
0.997933 + 0.0642628i \(0.0204696\pi\)
\(42\) 2.37889 + 3.39155i 0.367071 + 0.523327i
\(43\) −5.73482 + 0.824543i −0.874552 + 0.125742i −0.564950 0.825125i \(-0.691105\pi\)
−0.309601 + 0.950866i \(0.600196\pi\)
\(44\) 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 \(-0.805102\pi\)
0.818334 0.574743i \(-0.194898\pi\)
\(48\) 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 −0.0900527 + 0.995937i \(0.528704\pi\)
−0.972984 + 0.230873i \(0.925842\pi\)
\(54\) 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 −0.991090 0.133193i \(-0.957477\pi\)
−0.00920920 + 0.999958i \(0.502931\pi\)
\(60\) −5.17354 + 2.62068i −0.667901 + 0.338328i
\(61\) −0.619733 0.0891041i −0.0793486 0.0114086i 0.102526 0.994730i \(-0.467307\pi\)
−0.181875 + 0.983322i \(0.558217\pi\)
\(62\) 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 −0.501279 0.865286i \(-0.667137\pi\)
0.995330 + 0.0965269i \(0.0307734\pi\)
\(68\) 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 −0.691681 0.722203i \(-0.743130\pi\)
0.944274 + 0.329161i \(0.106766\pi\)
\(72\) 2.61918 1.46284i 0.308673 0.172398i
\(73\) −2.52644 5.53213i −0.295697 0.647487i 0.702222 0.711958i \(-0.252191\pi\)
−0.997920 + 0.0644710i \(0.979464\pi\)
\(74\) −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 −0.847421 0.530921i \(-0.821846\pi\)
0.404917 + 0.914354i \(0.367300\pi\)
\(80\) −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 −0.839547 0.543288i \(-0.817179\pi\)
−0.412548 + 0.910936i \(0.635361\pi\)
\(84\) 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 −0.702386 0.711797i \(-0.747882\pi\)
0.473398 0.880849i \(-0.343027\pi\)
\(90\) −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 −0.996371 0.0851145i \(-0.972874\pi\)
0.884217 + 0.467076i \(0.154693\pi\)
\(98\) −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 0.903091 + 0.429449i \(0.141292\pi\)
−0.527551 + 0.849523i \(0.676890\pi\)
\(102\) 3.79726 4.75847i 0.375984 0.471159i
\(103\) −0.709786 1.10445i −0.0699373 0.108825i 0.804523 0.593921i \(-0.202421\pi\)
−0.874461 + 0.485096i \(0.838784\pi\)
\(104\) −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 −0.970520 0.241020i \(-0.922518\pi\)
0.999110 + 0.0421705i \(0.0134273\pi\)
\(108\) 0.849196 5.12629i 0.0817140 0.493278i
\(109\) 2.64483 + 1.20785i 0.253328 + 0.115691i 0.538032 0.842924i \(-0.319168\pi\)
−0.284704 + 0.958616i \(0.591895\pi\)
\(110\) −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 0.883246 0.468911i \(-0.155353\pi\)
−0.0596226 + 0.998221i \(0.518990\pi\)
\(114\) −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 0.655898 0.754849i \(-0.272290\pi\)
0.959105 0.283051i \(-0.0913464\pi\)
\(128\) 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 0.250636 0.968081i \(-0.419360\pi\)
−0.922559 + 0.385857i \(0.873906\pi\)
\(132\) 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 0.267875 0.963454i \(-0.413679\pi\)
0.987668 + 0.156566i \(0.0500424\pi\)
\(150\) −7.36828 7.83865i −0.601617 0.640023i
\(151\) 4.64937 + 5.36566i 0.378360 + 0.436651i 0.912707 0.408614i \(-0.133988\pi\)
−0.534347 + 0.845265i \(0.679442\pi\)
\(152\) −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 −0.352017 0.935994i \(-0.614504\pi\)
0.476855 + 0.878982i \(0.341777\pi\)
\(158\) 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 0.507437 0.861689i \(-0.330593\pi\)
−0.573023 + 0.819539i \(0.694229\pi\)
\(164\) −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 −0.0144375 0.999896i \(-0.504596\pi\)
−0.765125 + 0.643881i \(0.777323\pi\)
\(168\) 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 0.787937 0.615755i \(-0.211149\pi\)
−0.887432 + 0.460939i \(0.847513\pi\)
\(174\) −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 0.712092 + 0.702087i \(0.247748\pi\)
−0.978626 + 0.205647i \(0.934070\pi\)
\(180\) 7.17039 + 7.03463i 0.534449 + 0.524330i
\(181\) −9.15702 + 1.31658i −0.680636 + 0.0978607i −0.473957 0.880548i \(-0.657175\pi\)
−0.206679 + 0.978409i \(0.566266\pi\)
\(182\) −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 −0.719831 0.694150i \(-0.755781\pi\)
0.789527 + 0.613716i \(0.210326\pi\)
\(192\) −0.0700914 1.73063i −0.00505841 0.124898i
\(193\) 5.88402 1.72770i 0.423541 0.124363i −0.0630142 0.998013i \(-0.520071\pi\)
0.486555 + 0.873650i \(0.338253\pi\)
\(194\) 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 0.174618 0.984636i \(-0.444131\pi\)
0.999465 0.0327122i \(-0.0104145\pi\)
\(198\) −0.317598 0.415916i −0.0225707 0.0295578i
\(199\) −0.422569 0.0607563i −0.0299551 0.00430690i 0.127321 0.991862i \(-0.459362\pi\)
−0.157276 + 0.987555i \(0.550271\pi\)
\(200\) −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 0.997096 0.0761505i \(-0.0242629\pi\)
−0.710510 + 0.703687i \(0.751536\pi\)
\(212\) 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 −0.645487 0.763771i \(-0.723346\pi\)
0.847860 + 0.530221i \(0.177891\pi\)
\(224\) 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 0.999959 0.00906687i \(-0.00288611\pi\)
−0.962008 + 0.273021i \(0.911977\pi\)
\(228\) −4.38623 + 10.7341i −0.290485 + 0.710882i
\(229\) 6.47386i 0.427805i −0.976855 0.213902i \(-0.931383\pi\)
0.976855 0.213902i \(-0.0686174\pi\)
\(230\) 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 0.571786 0.820403i \(-0.306251\pi\)
0.779759 + 0.626080i \(0.215342\pi\)
\(234\) −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 0.999933 + 0.0115993i \(0.00369226\pi\)
−0.834926 + 0.550362i \(0.814490\pi\)
\(240\) 4.53302 + 3.61735i 0.292605 + 0.233499i
\(241\) 2.19681 + 3.41830i 0.141509 + 0.220192i 0.904773 0.425895i \(-0.140041\pi\)
−0.763264 + 0.646087i \(0.776404\pi\)
\(242\) 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 0.393688 0.919244i \(-0.371199\pi\)
−0.672630 + 0.739979i \(0.734835\pi\)
\(252\) −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 −0.859899 0.510465i \(-0.829473\pi\)
−0.177330 + 0.984151i \(0.556746\pi\)
\(258\) 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 0.996566 + 0.0828062i \(0.0263883\pi\)
−0.0598627 + 0.998207i \(0.519066\pi\)
\(264\) −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 0.418029 0.908434i \(-0.362721\pi\)
−0.839695 + 0.543058i \(0.817266\pi\)
\(270\) 17.2702 2.10758i 1.05103 0.128263i
\(271\) 25.6521 + 7.53215i 1.55826 + 0.457545i 0.943555 0.331215i \(-0.107458\pi\)
0.614701 + 0.788760i \(0.289277\pi\)
\(272\) −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 −0.350881 0.936420i \(-0.614118\pi\)
−0.801447 + 0.598066i \(0.795936\pi\)
\(282\) −3.31235 + 13.2414i −0.197248 + 0.788513i
\(283\) −7.96292 6.89991i −0.473347 0.410157i 0.385247 0.922813i \(-0.374116\pi\)
−0.858594 + 0.512656i \(0.828662\pi\)
\(284\) −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 −0.890454 0.455074i \(-0.849613\pi\)
0.927045 + 0.374950i \(0.122340\pi\)
\(294\) −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 0.830856 + 0.556488i \(0.187852\pi\)
−0.953981 + 0.299867i \(0.903058\pi\)
\(308\) −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 0.907048 0.421027i \(-0.138330\pi\)
−0.759781 + 0.650179i \(0.774694\pi\)
\(312\) −0.718470 + 0.900339i −0.0406754 + 0.0509716i
\(313\) −3.56220 12.1317i −0.201348 0.685727i −0.996816 0.0797321i \(-0.974594\pi\)
0.795469 0.605995i \(-0.207225\pi\)
\(314\) 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 −0.989454 0.144849i \(-0.953730\pi\)
0.910693 + 0.413084i \(0.135549\pi\)
\(318\) 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 −0.485499 0.874237i \(-0.661362\pi\)
0.0642205 + 0.997936i \(0.479544\pi\)
\(332\) 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 −0.0785073 0.996914i \(-0.525015\pi\)
−0.356190 + 0.934413i \(0.615924\pi\)
\(338\) −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 −0.818005 0.575212i \(-0.804920\pi\)
0.863042 + 0.505132i \(0.168556\pi\)
\(348\) −10.0104 + 3.38501i −0.536616 + 0.181456i
\(349\) 0.688116 + 1.50676i 0.0368340 + 0.0806552i 0.927155 0.374679i \(-0.122247\pi\)
−0.890321 + 0.455334i \(0.849520\pi\)
\(350\) −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 0.672844 0.739784i \(-0.265072\pi\)
0.437168 + 0.899380i \(0.355981\pi\)
\(354\) 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 −0.139303 0.990250i \(-0.544486\pi\)
0.418181 + 0.908364i \(0.362668\pi\)
\(360\) 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 \(-0.873255\pi\)
0.921767 0.387744i \(-0.126745\pi\)
\(368\) −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 −0.919700 0.392623i \(-0.871568\pi\)
0.985968 + 0.166932i \(0.0533860\pi\)
\(374\) −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 −0.934136 0.356917i \(-0.883828\pi\)
0.0633915 0.997989i \(-0.479808\pi\)
\(380\) −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 0.909508 + 0.415687i \(0.136459\pi\)
−0.989779 + 0.142611i \(0.954450\pi\)
\(384\) −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 0.713940 0.700207i \(-0.246909\pi\)
−0.340349 + 0.940299i \(0.610545\pi\)
\(390\) −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 0.538543 + 0.842598i \(0.318975\pi\)
−0.989464 + 0.144780i \(0.953752\pi\)
\(398\) −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 −0.980950 0.194258i \(-0.937770\pi\)
−0.0526774 0.998612i \(-0.516776\pi\)
\(402\) −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 0.0762116 0.997092i \(-0.475718\pi\)
−0.474955 + 0.880010i \(0.657536\pi\)
\(410\) −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 0.190424 0.981702i \(-0.439014\pi\)
−0.370553 + 0.928811i \(0.620832\pi\)
\(420\) 13.4563 + 3.36611i 0.656601 + 0.164250i
\(421\) 7.60912 + 6.59334i 0.370846 + 0.321340i 0.820268 0.571980i \(-0.193824\pi\)
−0.449422 + 0.893320i \(0.648370\pi\)
\(422\) 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 −0.900542 0.434768i \(-0.856830\pi\)
0.918306 + 0.395872i \(0.129557\pi\)
\(432\) −5.01581 + 1.35708i −0.241323 + 0.0652927i
\(433\) −12.4673 + 5.69362i −0.599140 + 0.273618i −0.691811 0.722079i \(-0.743187\pi\)
0.0926709 + 0.995697i \(0.470460\pi\)
\(434\) −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 0.950686 0.310154i \(-0.100380\pi\)
0.112804 + 0.993617i \(0.464017\pi\)
\(440\) 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 0.341707 0.939806i \(-0.388995\pi\)
−0.486488 + 0.873687i \(0.661722\pi\)
\(444\) 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 0.951522 + 0.307581i \(0.0995196\pi\)
−0.115491 + 0.993309i \(0.536844\pi\)
\(450\) −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 −0.628584 0.777742i \(-0.716365\pi\)
−0.384006 + 0.923330i \(0.625456\pi\)
\(458\) −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 \(0.271523\pi\)
−0.657715 + 0.753267i \(0.728477\pi\)
\(462\) −0.668942 0.273347i −0.0311220 0.0127173i
\(463\) 1.87739 + 13.0575i 0.0872497 + 0.606835i 0.985795 + 0.167954i \(0.0537160\pi\)
−0.898545 + 0.438881i \(0.855375\pi\)
\(464\) −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 −0.278483 0.960441i \(-0.589832\pi\)
0.990298 + 0.138963i \(0.0443770\pi\)
\(468\) 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 0.716772 0.697308i \(-0.245619\pi\)
−0.996376 + 0.0850605i \(0.972892\pi\)
\(480\) 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 0.984971 + 0.172721i \(0.0552559\pi\)
−0.514485 + 0.857499i \(0.672017\pi\)
\(488\) 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 0.348496 0.937310i \(-0.386692\pi\)
0.0703089 + 0.997525i \(0.477602\pi\)
\(492\) 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 −0.599608 0.800294i \(-0.704677\pi\)
0.877481 + 0.479611i \(0.159222\pi\)
\(500\) 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 −0.862657 0.505789i \(-0.831201\pi\)
0.685216 0.728340i \(-0.259708\pi\)
\(504\) −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 −0.861756 0.507323i \(-0.830635\pi\)
−0.683920 + 0.729557i \(0.739726\pi\)
\(510\) 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 −0.989167 0.146796i \(-0.953104\pi\)
0.990456 + 0.137831i \(0.0440131\pi\)
\(522\) −6.23208 + 17.2094i −0.272771 + 0.753235i
\(523\) 13.7188 + 6.26517i 0.599882 + 0.273957i 0.692123 0.721780i \(-0.256676\pi\)
−0.0922407 + 0.995737i \(0.529403\pi\)
\(524\) −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 0.424997 0.905195i \(-0.360275\pi\)
0.999944 0.0105589i \(-0.00336105\pi\)
\(542\) 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 −0.0212542 0.999774i \(-0.506766\pi\)
−0.558399 + 0.829573i \(0.688584\pi\)
\(548\) 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 −0.0187599 0.999824i \(-0.505972\pi\)
−0.556327 + 0.830963i \(0.687790\pi\)
\(558\) −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 −0.684301 0.729200i \(-0.739892\pi\)
0.379035 + 0.925382i \(0.376256\pi\)
\(564\) 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 −0.964824 0.262898i \(-0.915322\pi\)
0.830510 + 0.557004i \(0.188049\pi\)
\(570\) −38.6228 3.96579i −1.61773 0.166109i
\(571\) −15.9160 + 7.26859i −0.666064 + 0.304181i −0.719604 0.694385i \(-0.755677\pi\)
0.0535404 + 0.998566i \(0.482949\pi\)
\(572\) 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 0.110896 0.993832i \(-0.464628\pi\)
−0.857954 + 0.513727i \(0.828264\pi\)
\(578\) 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 0.616706 0.787193i \(-0.288467\pi\)
−0.972245 + 0.233964i \(0.924830\pi\)
\(588\) 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 −0.148681 0.988885i \(-0.547503\pi\)
0.659710 0.751520i \(-0.270679\pi\)
\(594\) −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 \(-0.885066\pi\)
0.935518 0.353280i \(-0.114934\pi\)
\(600\) −4.06939 + 9.95871i −0.166132 + 0.406563i
\(601\) −3.18966 22.1846i −0.130109 0.904928i −0.945408 0.325888i \(-0.894337\pi\)
0.815299 0.579040i \(-0.196572\pi\)
\(602\) 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 0.359780 0.933037i \(-0.382852\pi\)
0.807104 + 0.590409i \(0.201034\pi\)
\(608\) 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 −0.253914 0.967227i \(-0.581718\pi\)
−0.516128 + 0.856511i \(0.672627\pi\)
\(614\) 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 −0.836264 0.548328i \(-0.815265\pi\)
0.133238 0.991084i \(-0.457463\pi\)
\(618\) 0.728411 + 2.15412i 0.0293010 + 0.0866514i
\(619\) 22.5746 35.1268i 0.907352 1.41187i −0.00388892 0.999992i \(-0.501238\pi\)
0.911241 0.411874i \(-0.135126\pi\)
\(620\) 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 0.176247 0.984346i \(-0.443604\pi\)
0.999409 0.0343665i \(-0.0109414\pi\)
\(632\) 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 0.864343 + 0.502902i \(0.167734\pi\)
−0.687647 + 0.726045i \(0.741356\pi\)
\(642\) −1.36149 + 3.33187i −0.0537338 + 0.131499i
\(643\) 15.5189i 0.612005i −0.952031 0.306003i \(-0.901008\pi\)
0.952031 0.306003i \(-0.0989916\pi\)
\(644\) −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 −0.504778 0.863249i \(-0.668426\pi\)
−0.241126 + 0.970494i \(0.577517\pi\)
\(648\) −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 0.968756 0.248016i \(-0.0797784\pi\)
−0.949057 + 0.315105i \(0.897960\pi\)
\(654\) −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 −0.999239 0.0389994i \(-0.987583\pi\)
0.969750 + 0.244099i \(0.0784921\pi\)
\(660\) 0.512044 0.872478i 0.0199313 0.0339612i
\(661\) −10.3085 4.70775i −0.400956 0.183110i 0.204722 0.978820i \(-0.434371\pi\)
−0.605678 + 0.795710i \(0.707098\pi\)
\(662\) −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 −0.849021 0.528359i \(-0.822807\pi\)
0.955298 + 0.295645i \(0.0955347\pi\)
\(674\) −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 0.999611 0.0278922i \(-0.00887951\pi\)
−0.169868 + 0.985467i \(0.554334\pi\)
\(678\) −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 0.565527 0.824730i \(-0.308673\pi\)
−0.735852 + 0.677142i \(0.763218\pi\)
\(684\) 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 −0.679501 0.733675i \(-0.737804\pi\)
0.385099 + 0.922875i \(0.374167\pi\)
\(702\) 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 0.436772 0.899572i \(-0.356122\pi\)
0.965876 + 0.259004i \(0.0833944\pi\)
\(710\) −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 0.644951 0.764224i \(-0.276878\pi\)
−0.155209 + 0.987882i \(0.549605\pi\)
\(720\) 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 0.861486 0.507781i \(-0.169534\pi\)
−0.999255 + 0.0385823i \(0.987716\pi\)
\(728\) −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 −0.716380 0.697711i \(-0.754202\pi\)
−0.490794 + 0.871276i \(0.663293\pi\)
\(734\) −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 0.724563 + 0.689209i \(0.242042\pi\)
−0.501040 + 0.865424i \(0.667049\pi\)
\(740\) −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 −0.828448 0.560067i \(-0.810776\pi\)
0.672266 + 0.740309i \(0.265321\pi\)
\(744\) −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 0.836998 0.547206i \(-0.184308\pi\)
0.648928 + 0.760850i \(0.275217\pi\)
\(752\) 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 0.0889786 + 0.996034i \(0.471640\pi\)
−0.942987 + 0.332829i \(0.891997\pi\)
\(758\) −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 −0.304815 0.952412i \(-0.598595\pi\)
0.992969 0.118377i \(-0.0377691\pi\)
\(762\) −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 −0.775719 0.631079i \(-0.782613\pi\)
0.514259 + 0.857635i \(0.328067\pi\)
\(770\) 1.17520 0.755253i 0.0423512 0.0272174i
\(771\) 21.6854 + 23.0698i 0.780982 + 0.830837i
\(772\)