Properties

Label 138.2.f.a.113.2
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 113.2
Character \(\chi\) \(=\) 138.113
Dual form 138.2.f.a.11.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.540641 + 0.841254i) q^{2} +(0.0700914 - 1.73063i) q^{3} +(-0.415415 - 0.909632i) q^{4} +(-3.21268 - 0.943327i) q^{5} +(1.41801 + 0.994615i) q^{6} +(-1.80758 - 1.56628i) q^{7} +(0.989821 + 0.142315i) q^{8} +(-2.99017 - 0.242605i) q^{9} +O(q^{10})\) \(q+(-0.540641 + 0.841254i) q^{2} +(0.0700914 - 1.73063i) q^{3} +(-0.415415 - 0.909632i) q^{4} +(-3.21268 - 0.943327i) q^{5} +(1.41801 + 0.994615i) q^{6} +(-1.80758 - 1.56628i) q^{7} +(0.989821 + 0.142315i) q^{8} +(-2.99017 - 0.242605i) q^{9} +(2.53048 - 2.19268i) q^{10} +(0.146746 - 0.0943077i) q^{11} +(-1.60336 + 0.655173i) q^{12} +(0.435504 + 0.502599i) q^{13} +(2.29489 - 0.673841i) q^{14} +(-1.85773 + 5.49384i) q^{15} +(-0.654861 + 0.755750i) q^{16} +(1.46011 - 3.19721i) q^{17} +(1.82070 - 2.38433i) q^{18} +(6.08977 - 2.78111i) q^{19} +(0.476514 + 3.31423i) q^{20} +(-2.83735 + 3.01848i) 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} +(-0.629445 + 5.15789i) q^{27} +(-0.673841 + 2.29489i) q^{28} +(-5.54968 - 2.53446i) q^{29} +(-3.61735 - 4.53302i) q^{30} +(-1.22988 + 8.55402i) q^{31} +(-0.281733 - 0.959493i) q^{32} +(-0.152926 - 0.260573i) q^{33} +(1.90026 + 2.95687i) q^{34} +(4.32967 + 6.73709i) q^{35} +(1.02148 + 2.82074i) q^{36} +(-2.59752 - 8.84635i) q^{37} +(-0.952764 + 6.62662i) q^{38} +(0.900339 - 0.718470i) q^{39} +(-3.04573 - 1.39094i) q^{40} +(-0.791908 + 2.69699i) q^{41} +(-1.00532 - 4.01884i) 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} +(1.26202 + 1.18629i) q^{48} +(-0.182080 - 1.26640i) q^{49} +(-5.64988 + 2.58021i) q^{50} +(-5.43084 - 2.75102i) q^{51} +(0.276265 - 0.604936i) q^{52} +(7.73902 - 8.93131i) q^{53} +(-3.99879 - 3.31809i) q^{54} +(-0.560410 + 0.164551i) q^{55} +(-1.56628 - 1.80758i) q^{56} +(-4.38623 - 10.7341i) q^{57} +(5.13250 - 3.29846i) q^{58} +(7.68344 - 6.65774i) q^{59} +(5.76911 - 0.592371i) q^{60} +(-0.619733 - 0.0891041i) q^{61} +(-6.53117 - 5.65929i) q^{62} +(5.02500 + 5.12197i) q^{63} +(0.959493 + 0.281733i) q^{64} +(-0.925020 - 2.02551i) q^{65} +(0.301886 + 0.0122265i) q^{66} +(4.04398 - 6.29256i) q^{67} -3.51483 q^{68} +(-6.83110 - 4.72610i) q^{69} -8.00840 q^{70} +(-2.12838 + 3.31183i) q^{71} +(-2.92521 - 0.665682i) q^{72} +(-2.52644 - 5.53213i) q^{73} +(8.84635 + 2.59752i) q^{74} +(6.17772 - 8.80747i) q^{75} +(-5.05956 - 4.38414i) q^{76} +(-0.412967 - 0.0593757i) q^{77} +(0.117656 + 1.14585i) q^{78} +(-3.93306 + 3.40802i) q^{79} +(2.81678 - 1.81023i) q^{80} +(8.88229 + 1.45086i) q^{81} +(-1.84072 - 2.12430i) q^{82} +(11.4071 - 3.34943i) q^{83} +(3.92438 + 1.32702i) q^{84} +(-7.70689 + 8.89423i) q^{85} +(2.40683 - 5.27022i) q^{86} +(-4.77519 + 9.42681i) q^{87} +(0.158673 - 0.0724637i) q^{88} +(2.16027 + 15.0250i) q^{89} +(-8.09854 + 5.94258i) 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} +(-1.68028 + 0.420323i) q^{96} +(-1.10459 + 3.76189i) q^{97} +(1.16380 + 0.531490i) q^{98} +(-0.461675 + 0.246395i) 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
\(3\) 0.0700914 1.73063i 0.0404673 0.999181i
\(4\) −0.415415 0.909632i −0.207708 0.454816i
\(5\) −3.21268 0.943327i −1.43675 0.421869i −0.531615 0.846986i \(-0.678415\pi\)
−0.905138 + 0.425117i \(0.860233\pi\)
\(6\) 1.41801 + 0.994615i 0.578899 + 0.406050i
\(7\) −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
\(9\) −2.99017 0.242605i −0.996725 0.0808683i
\(10\) 2.53048 2.19268i 0.800209 0.693385i
\(11\) 0.146746 0.0943077i 0.0442455 0.0284348i −0.518331 0.855180i \(-0.673447\pi\)
0.562577 + 0.826745i \(0.309810\pi\)
\(12\) −1.60336 + 0.655173i −0.462849 + 0.189132i
\(13\) 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
\(15\) −1.85773 + 5.49384i −0.479665 + 1.41850i
\(16\) −0.654861 + 0.755750i −0.163715 + 0.188937i
\(17\) 1.46011 3.19721i 0.354130 0.775436i −0.645799 0.763507i \(-0.723476\pi\)
0.999929 0.0119287i \(-0.00379712\pi\)
\(18\) 1.82070 2.38433i 0.429144 0.561993i
\(19\) 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
\(21\) −2.83735 + 3.01848i −0.619160 + 0.658686i
\(22\) 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
\(27\) −0.629445 + 5.15789i −0.121137 + 0.992636i
\(28\) −0.673841 + 2.29489i −0.127344 + 0.433693i
\(29\) −5.54968 2.53446i −1.03055 0.470636i −0.172938 0.984933i \(-0.555326\pi\)
−0.857613 + 0.514296i \(0.828053\pi\)
\(30\) −3.61735 4.53302i −0.660435 0.827613i
\(31\) −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
\(33\) −0.152926 0.260573i −0.0266211 0.0453599i
\(34\) 1.90026 + 2.95687i 0.325892 + 0.507098i
\(35\) 4.32967 + 6.73709i 0.731847 + 1.13878i
\(36\) 1.02148 + 2.82074i 0.170247 + 0.470123i
\(37\) −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
\(39\) 0.900339 0.718470i 0.144170 0.115047i
\(40\) −3.04573 1.39094i −0.481572 0.219927i
\(41\) −0.791908 + 2.69699i −0.123675 + 0.421199i −0.997933 0.0642628i \(-0.979530\pi\)
0.874258 + 0.485462i \(0.161349\pi\)
\(42\) −1.00532 4.01884i −0.155124 0.620121i
\(43\) −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 \(0.194898\pi\)
−0.818334 + 0.574743i \(0.805102\pi\)
\(48\) 1.26202 + 1.18629i 0.182158 + 0.171227i
\(49\) −0.182080 1.26640i −0.0260115 0.180914i
\(50\) −5.64988 + 2.58021i −0.799013 + 0.364897i
\(51\) −5.43084 2.75102i −0.760470 0.385220i
\(52\) 0.276265 0.604936i 0.0383111 0.0838895i
\(53\) 7.73902 8.93131i 1.06304 1.22681i 0.0900527 0.995937i \(-0.471296\pi\)
0.972984 0.230873i \(-0.0741581\pi\)
\(54\) −3.99879 3.31809i −0.544166 0.451534i
\(55\) −0.560410 + 0.164551i −0.0755656 + 0.0221881i
\(56\) −1.56628 1.80758i −0.209303 0.241548i
\(57\) −4.38623 10.7341i −0.580970 1.42176i
\(58\) 5.13250 3.29846i 0.673931 0.433109i
\(59\) 7.68344 6.65774i 1.00030 0.866764i 0.00920920 0.999958i \(-0.497069\pi\)
0.991090 + 0.133193i \(0.0425231\pi\)
\(60\) 5.76911 0.592371i 0.744789 0.0764748i
\(61\) −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
\(63\) 5.02500 + 5.12197i 0.633090 + 0.645308i
\(64\) 0.959493 + 0.281733i 0.119937 + 0.0352166i
\(65\) −0.925020 2.02551i −0.114735 0.251234i
\(66\) 0.301886 + 0.0122265i 0.0371596 + 0.00150498i
\(67\) 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
\(69\) −6.83110 4.72610i −0.822368 0.568956i
\(70\) −8.00840 −0.957186
\(71\) −2.12838 + 3.31183i −0.252593 + 0.393042i −0.944274 0.329161i \(-0.893234\pi\)
0.691681 + 0.722203i \(0.256870\pi\)
\(72\) −2.92521 0.665682i −0.344740 0.0784513i
\(73\) −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
\(75\) 6.17772 8.80747i 0.713342 1.01700i
\(76\) −5.05956 4.38414i −0.580372 0.502895i
\(77\) −0.412967 0.0593757i −0.0470619 0.00676649i
\(78\) 0.117656 + 1.14585i 0.0133219 + 0.129742i
\(79\) −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
\(81\) 8.88229 + 1.45086i 0.986921 + 0.161207i
\(82\) −1.84072 2.12430i −0.203273 0.234590i
\(83\) 11.4071 3.34943i 1.25209 0.367648i 0.412548 0.910936i \(-0.364639\pi\)
0.839547 + 0.543288i \(0.182821\pi\)
\(84\) 3.92438 + 1.32702i 0.428185 + 0.144790i
\(85\) −7.70689 + 8.89423i −0.835930 + 0.964714i
\(86\) 2.40683 5.27022i 0.259535 0.568302i
\(87\) −4.77519 + 9.42681i −0.511955 + 1.01066i
\(88\) 0.158673 0.0724637i 0.0169146 0.00772466i
\(89\) 2.16027 + 15.0250i 0.228988 + 1.59265i 0.702386 + 0.711797i \(0.252118\pi\)
−0.473398 + 0.880849i \(0.656973\pi\)
\(90\) −8.09854 + 5.94258i −0.853661 + 0.626402i
\(91\) 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
\(96\) −1.68028 + 0.420323i −0.171492 + 0.0428991i
\(97\) −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
\(99\) −0.461675 + 0.246395i −0.0464000 + 0.0247637i
\(100\) 0.883941 6.14795i 0.0883941 0.614795i
\(101\) −3.77413 12.8535i −0.375540 1.27897i −0.903091 0.429449i \(-0.858708\pi\)
0.527551 0.849523i \(-0.323110\pi\)
\(102\) 5.25044 3.08140i 0.519871 0.305104i
\(103\) −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
\(105\) 11.9629 7.02085i 1.16746 0.685164i
\(106\) 3.32946 + 11.3391i 0.323386 + 1.10135i
\(107\) −0.295739 + 2.05691i −0.0285902 + 0.198849i −0.999110 0.0421705i \(-0.986573\pi\)
0.970520 + 0.241020i \(0.0774818\pi\)
\(108\) 4.95326 1.57010i 0.476628 0.151083i
\(109\) 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
\(111\) −15.4918 + 3.87530i −1.47042 + 0.367828i
\(112\) 2.36743 0.340385i 0.223701 0.0321633i
\(113\) −8.75523 5.62665i −0.823623 0.529310i 0.0596226 0.998221i \(-0.481010\pi\)
−0.883246 + 0.468911i \(0.844647\pi\)
\(114\) 11.4015 + 2.11335i 1.06784 + 0.197934i
\(115\) −12.0678 + 10.5937i −1.12533 + 0.987864i
\(116\) 6.10102i 0.566465i
\(117\) −1.18030 1.60851i −0.109119 0.148707i
\(118\) 1.44687 + 10.0632i 0.133195 + 0.926390i
\(119\) −7.64699 + 3.49226i −0.700999 + 0.320135i
\(120\) −2.62068 + 5.17354i −0.239234 + 0.472278i
\(121\) −4.55692 + 9.97827i −0.414266 + 0.907116i
\(122\) 0.410012 0.473179i 0.0371207 0.0428396i
\(123\) 4.61199 + 1.55954i 0.415849 + 0.140619i
\(124\) 8.29192 2.43473i 0.744636 0.218645i
\(125\) −2.65570 3.06484i −0.237533 0.274128i
\(126\) −7.02560 + 1.45815i −0.625890 + 0.129902i
\(127\) 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
\(129\) 1.02502 + 9.98265i 0.0902478 + 0.878924i
\(130\) 2.20407 + 0.316898i 0.193310 + 0.0277938i
\(131\) 7.69051 + 6.66386i 0.671923 + 0.582224i 0.922559 0.385857i \(-0.126094\pi\)
−0.250636 + 0.968081i \(0.580640\pi\)
\(132\) −0.173498 + 0.247353i −0.0151010 + 0.0215293i
\(133\) −15.3637 4.51120i −1.33221 0.391171i
\(134\) 3.10730 + 6.80403i 0.268430 + 0.587779i
\(135\) 6.88778 15.9769i 0.592806 1.37507i
\(136\) 1.90026 2.95687i 0.162946 0.253549i
\(137\) 10.2876 0.878926 0.439463 0.898261i \(-0.355169\pi\)
0.439463 + 0.898261i \(0.355169\pi\)
\(138\) 7.66902 3.19157i 0.652830 0.271684i
\(139\) 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
\(141\) 13.6382 + 0.552354i 1.14855 + 0.0465166i
\(142\) −1.63540 3.58102i −0.137240 0.300513i
\(143\) 0.111307 + 0.0326828i 0.00930798 + 0.00273307i
\(144\) 2.14150 2.10095i 0.178458 0.175079i
\(145\) 15.4385 + 13.3776i 1.28210 + 1.11095i
\(146\) 6.01982 + 0.865519i 0.498204 + 0.0716309i
\(147\) −2.20443 + 0.226350i −0.181818 + 0.0186691i
\(148\) −6.96787 + 6.03770i −0.572756 + 0.496296i
\(149\) −15.3258 + 9.84932i −1.25554 + 0.806888i −0.987668 0.156566i \(-0.949958\pi\)
−0.267875 + 0.963454i \(0.586321\pi\)
\(150\) 4.06939 + 9.95871i 0.332264 + 0.813125i
\(151\) 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
\(153\) −5.14166 + 9.20597i −0.415678 + 0.744259i
\(154\) 0.273217 0.315309i 0.0220164 0.0254083i
\(155\) 12.0205 26.3211i 0.965506 2.11416i
\(156\) −1.02756 0.520514i −0.0822704 0.0416745i
\(157\) 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
\(159\) −14.9144 14.0194i −1.18279 1.11181i
\(160\) 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
\(165\) 0.245498 + 0.981396i 0.0191120 + 0.0764016i
\(166\) −3.34943 + 11.4071i −0.259966 + 0.885365i
\(167\) 10.0742 + 4.60072i 0.779563 + 0.356014i 0.765125 0.643881i \(-0.222677\pi\)
0.0144375 + 0.999896i \(0.495404\pi\)
\(168\) −3.23804 + 2.58396i −0.249820 + 0.199357i
\(169\) 1.78715 12.4299i 0.137473 0.956147i
\(170\) −3.31564 11.2920i −0.254298 0.866059i
\(171\) −18.8842 + 6.83858i −1.44411 + 0.522959i
\(172\) 3.13236 + 4.87405i 0.238840 + 0.371643i
\(173\) 1.30865 + 2.03629i 0.0994945 + 0.154817i 0.887432 0.460939i \(-0.152487\pi\)
−0.787937 + 0.615755i \(0.788851\pi\)
\(174\) −5.34868 9.11367i −0.405482 0.690906i
\(175\) −4.18534 14.2539i −0.316382 1.07750i
\(176\) −0.0248250 + 0.172661i −0.00187125 + 0.0130148i
\(177\) −10.9836 13.7639i −0.825575 1.03456i
\(178\) −13.8078 6.30579i −1.03493 0.472639i
\(179\) 3.56599 12.1447i 0.266535 0.907734i −0.712092 0.702087i \(-0.752252\pi\)
0.978626 0.205647i \(-0.0659299\pi\)
\(180\) −0.620812 10.0257i −0.0462726 0.747273i
\(181\) −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
\(186\) −10.2519 + 10.9064i −0.751708 + 0.799695i
\(187\) −0.0872556 0.606876i −0.00638076 0.0443792i
\(188\) 7.16834 3.27367i 0.522805 0.238757i
\(189\) 9.21646 8.33742i 0.670399 0.606458i
\(190\) 9.31200 20.3904i 0.675563 1.47928i
\(191\) −0.963220 + 1.11162i −0.0696962 + 0.0804337i −0.789527 0.613716i \(-0.789674\pi\)
0.719831 + 0.694150i \(0.244219\pi\)
\(192\) 0.554828 1.64078i 0.0400412 0.118413i
\(193\) 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
\(195\) −3.57025 + 1.45890i −0.255671 + 0.104474i
\(196\) −1.07632 + 0.691706i −0.0768797 + 0.0494076i
\(197\) −16.4790 + 14.2792i −1.17408 + 1.01735i −0.174618 + 0.984636i \(0.555869\pi\)
−0.999465 + 0.0327122i \(0.989586\pi\)
\(198\) 0.0423192 0.521597i 0.00300750 0.0370683i
\(199\) −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
\(201\) −10.6067 7.43970i −0.748136 0.524756i
\(202\) 12.8535 + 3.77413i 0.904370 + 0.265547i
\(203\) 6.06184 + 13.2736i 0.425458 + 0.931623i
\(204\) −0.246360 + 6.08288i −0.0172486 + 0.425887i
\(205\) 5.08829 7.91754i 0.355382 0.552985i
\(206\) 1.31286 0.0914714
\(207\) −8.65794 + 11.4909i −0.601769 + 0.798671i
\(208\) −0.665034 −0.0461118
\(209\) 0.631368 0.982427i 0.0436726 0.0679559i
\(210\) −0.561320 + 13.8596i −0.0387347 + 0.956402i
\(211\) 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
\(213\) 5.58238 + 3.91558i 0.382498 + 0.268291i
\(214\) −1.57050 1.36084i −0.107357 0.0930253i
\(215\) 19.2019 + 2.76082i 1.30956 + 0.188287i
\(216\) −1.35708 + 5.01581i −0.0923378 + 0.341282i
\(217\) 15.6211 13.5357i 1.06043 0.918866i
\(218\) −2.44601 + 1.57196i −0.165665 + 0.106466i
\(219\) −9.75116 + 3.98458i −0.658922 + 0.269253i
\(220\) 0.382484 + 0.441410i 0.0257870 + 0.0297598i
\(221\) 2.24280 0.658545i 0.150867 0.0442985i
\(222\) 5.11541 15.1277i 0.343324 1.01531i
\(223\) 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
\(225\) −14.8095 11.3087i −0.987300 0.753913i
\(226\) 9.46687 4.32338i 0.629727 0.287587i
\(227\) −0.571788 3.97688i −0.0379509 0.263955i 0.962008 0.273021i \(-0.0880230\pi\)
−0.999959 + 0.00906687i \(0.997114\pi\)
\(228\) −7.94196 + 8.44895i −0.525969 + 0.559546i
\(229\) 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 −0.779759 0.626080i \(-0.784658\pi\)
−0.571786 + 0.820403i \(0.693749\pi\)
\(234\) 1.99129 0.123304i 0.130174 0.00806066i
\(235\) 7.43388 25.3175i 0.484933 1.65153i
\(236\) −9.24791 4.22338i −0.601988 0.274919i
\(237\) 5.62235 + 7.04556i 0.365211 + 0.457658i
\(238\) 1.19640 8.32112i 0.0775509 0.539378i
\(239\) −2.55094 8.68772i −0.165007 0.561962i −0.999933 0.0115993i \(-0.996308\pi\)
0.834926 0.550362i \(-0.185510\pi\)
\(240\) −2.93541 5.00168i −0.189480 0.322857i
\(241\) 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
\(243\) 3.13348 15.2703i 0.201013 0.979589i
\(244\) 0.176394 + 0.600744i 0.0112925 + 0.0384587i
\(245\) −0.609661 + 4.24028i −0.0389498 + 0.270902i
\(246\) −3.80540 + 3.03671i −0.242623 + 0.193613i
\(247\) 4.04990 + 1.84953i 0.257689 + 0.117683i
\(248\) −2.43473 + 8.29192i −0.154605 + 0.526537i
\(249\) −4.99710 19.9763i −0.316678 1.26595i
\(250\) 4.01409 0.577139i 0.253873 0.0365015i
\(251\) 4.41926 + 2.84009i 0.278942 + 0.179265i 0.672630 0.739979i \(-0.265165\pi\)
−0.393688 + 0.919244i \(0.628801\pi\)
\(252\) 2.57165 6.69864i 0.161999 0.421975i
\(253\) −0.00538890 0.836553i −0.000338797 0.0525936i
\(254\) 21.6346i 1.35747i
\(255\) 14.8524 + 13.9612i 0.930096 + 0.874284i
\(256\) −0.142315 0.989821i −0.00889468 0.0618638i
\(257\) 16.6280 7.59377i 1.03723 0.473687i 0.177330 0.984151i \(-0.443254\pi\)
0.859899 + 0.510465i \(0.170527\pi\)
\(258\) −8.95211 4.53473i −0.557334 0.282320i
\(259\) −9.16062 + 20.0589i −0.569213 + 1.24640i
\(260\) −1.45820 + 1.68286i −0.0904339 + 0.104366i
\(261\) 15.9796 + 8.92484i 0.989115 + 0.552434i
\(262\) −9.76380 + 2.86691i −0.603209 + 0.177118i
\(263\) −15.1908 17.5311i −0.936703 1.08101i −0.996566 0.0828062i \(-0.973612\pi\)
0.0598627 0.998207i \(-0.480934\pi\)
\(264\) −0.114286 0.279684i −0.00703384 0.0172134i
\(265\) −33.2881 + 21.3930i −2.04487 + 1.31416i
\(266\) 12.1013 10.4859i 0.741980 0.642930i
\(267\) 26.1541 2.68550i 1.60061 0.164350i
\(268\) −7.40385 1.06451i −0.452262 0.0650254i
\(269\) 6.91584 + 5.99261i 0.421666 + 0.365376i 0.839695 0.543058i \(-0.182734\pi\)
−0.418029 + 0.908434i \(0.637279\pi\)
\(270\) 9.71677 + 14.4321i 0.591344 + 0.878310i
\(271\) 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
\(273\) −2.75276 0.111488i −0.166605 0.00674757i
\(274\) −5.56188 + 8.65445i −0.336005 + 0.522835i
\(275\) 1.08346 0.0653349
\(276\) −1.46127 + 8.17708i −0.0879580 + 0.492203i
\(277\) 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
\(279\) 5.75281 25.2796i 0.344412 1.51345i
\(280\) 3.32681 + 7.28469i 0.198815 + 0.435344i
\(281\) 19.3165 + 5.67184i 1.15233 + 0.338354i 0.801447 0.598066i \(-0.204064\pi\)
0.350881 + 0.936420i \(0.385882\pi\)
\(282\) −7.83805 + 11.1746i −0.466749 + 0.665436i
\(283\) −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
\(285\) 3.96579 + 38.6228i 0.234913 + 2.28782i
\(286\) −0.0876718 + 0.0759680i −0.00518414 + 0.00449208i
\(287\) 5.65568 3.63468i 0.333844 0.214549i
\(288\) 0.609652 + 2.93740i 0.0359241 + 0.173088i
\(289\) 3.04245 + 3.51117i 0.178967 + 0.206539i
\(290\) −19.6006 + 5.75526i −1.15099 + 0.337960i
\(291\) 6.43302 + 2.17531i 0.377110 + 0.127519i
\(292\) −3.98268 + 4.59626i −0.233069 + 0.268976i
\(293\) −0.626345 + 1.37150i −0.0365914 + 0.0801241i −0.927045 0.374950i \(-0.877660\pi\)
0.890454 + 0.455074i \(0.150387\pi\)
\(294\) 1.00139 1.97686i 0.0584020 0.115293i
\(295\) −30.9649 + 14.1412i −1.80284 + 0.823331i
\(296\) −1.31212 9.12597i −0.0762653 0.530436i
\(297\) 0.394060 + 0.816259i 0.0228657 + 0.0473642i
\(298\) 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
\(303\) −22.5092 + 5.63071i −1.29312 + 0.323476i
\(304\) −1.88613 + 6.42358i −0.108177 + 0.368417i
\(305\) 1.90695 + 0.870874i 0.109192 + 0.0498661i
\(306\) −4.96477 9.30256i −0.283817 0.531792i
\(307\) −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
\(309\) −1.96114 + 1.15097i −0.111566 + 0.0654762i
\(310\) 15.6440 + 24.3425i 0.888519 + 1.38256i
\(311\) −2.59708 4.04114i −0.147267 0.229152i 0.759781 0.650179i \(-0.225306\pi\)
−0.907048 + 0.421027i \(0.861670\pi\)
\(312\) 0.993424 0.583025i 0.0562415 0.0330073i
\(313\) −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
\(315\) −11.3120 21.1955i −0.637359 1.19423i
\(316\) 4.73390 + 2.16190i 0.266302 + 0.121616i
\(317\) 1.40230 4.77580i 0.0787610 0.268235i −0.910693 0.413084i \(-0.864451\pi\)
0.989454 + 0.144849i \(0.0462696\pi\)
\(318\) 19.8572 4.96730i 1.11354 0.278552i
\(319\) −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
\(324\) −2.37008 8.68232i −0.131671 0.482351i
\(325\) 0.587851 + 4.08859i 0.0326081 + 0.226794i
\(326\) 0.905402 0.413483i 0.0501456 0.0229007i
\(327\) 2.27573 4.49256i 0.125848 0.248439i
\(328\) −1.16767 + 2.55684i −0.0644738 + 0.141178i
\(329\) 12.3430 14.2446i 0.680493 0.785331i
\(330\) −0.958329 0.324057i −0.0527543 0.0178388i
\(331\) −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
\(333\) 5.62088 + 27.0823i 0.308022 + 1.48410i
\(334\) −9.31688 + 5.98760i −0.509797 + 0.327627i
\(335\) −18.9280 + 16.4012i −1.03415 + 0.896092i
\(336\) −0.423145 4.12101i −0.0230844 0.224819i
\(337\) −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
\(339\) −10.3513 + 14.7577i −0.562207 + 0.801529i
\(340\) 11.2920 + 3.31564i 0.612396 + 0.179816i
\(341\) 0.626230 + 1.37125i 0.0339122 + 0.0742575i
\(342\) 4.45658 19.5836i 0.240984 1.05896i
\(343\) −10.7060 + 16.6589i −0.578072 + 0.899497i
\(344\) −5.79379 −0.312380
\(345\) 17.4879 + 21.6274i 0.941516 + 1.16438i
\(346\) −2.42055 −0.130129
\(347\) −0.838961 + 1.30545i −0.0450378 + 0.0700802i −0.863042 0.505132i \(-0.831444\pi\)
0.818005 + 0.575212i \(0.195080\pi\)
\(348\) 10.5586 + 0.427629i 0.566001 + 0.0229233i
\(349\) 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
\(351\) −2.86647 + 1.92992i −0.153001 + 0.103012i
\(352\) −0.131831 0.114232i −0.00702659 0.00608858i
\(353\) −20.8552 2.99853i −1.11001 0.159596i −0.437168 0.899380i \(-0.644019\pi\)
−0.672844 + 0.739784i \(0.734928\pi\)
\(354\) 17.5171 1.79865i 0.931021 0.0955972i
\(355\) 9.96195 8.63208i 0.528726 0.458143i
\(356\) 12.7698 8.20665i 0.676798 0.434952i
\(357\) 5.50784 + 13.4789i 0.291506 + 0.713379i
\(358\) 8.28881 + 9.56580i 0.438077 + 0.505568i
\(359\) −5.28399 + 1.55152i −0.278878 + 0.0818860i −0.418181 0.908364i \(-0.637332\pi\)
0.139303 + 0.990250i \(0.455514\pi\)
\(360\) 8.76981 + 4.89805i 0.462210 + 0.258150i
\(361\) 16.9084 19.5133i 0.889916 1.02702i
\(362\) 3.84308 8.41517i 0.201988 0.442292i
\(363\) 16.9493 + 8.58575i 0.889608 + 0.450635i
\(364\) −1.44687 + 0.660763i −0.0758366 + 0.0346334i
\(365\) 2.89803 + 20.1562i 0.151690 + 1.05502i
\(366\) −0.790161 0.742746i −0.0413024 0.0388239i
\(367\) 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
\(372\) −3.63242 14.5209i −0.188332 0.752874i
\(373\) 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
\(375\) −5.49025 + 4.38122i −0.283516 + 0.226245i
\(376\) −1.12151 + 7.80027i −0.0578374 + 0.402268i
\(377\) −1.14310 3.89303i −0.0588725 0.200501i
\(378\) 2.03109 + 12.2609i 0.104468 + 0.630634i
\(379\) −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
\(381\) −18.9667 32.3176i −0.971695 1.65568i
\(382\) −0.414394 1.41130i −0.0212023 0.0722083i
\(383\) 1.57094 10.9261i 0.0802712 0.558298i −0.909508 0.415687i \(-0.863541\pi\)
0.989779 0.142611i \(-0.0455498\pi\)
\(384\) 1.08035 + 1.35382i 0.0551315 + 0.0690871i
\(385\) 1.27072 + 0.580318i 0.0647618 + 0.0295757i
\(386\) −1.72770 + 5.88402i −0.0879379 + 0.299489i
\(387\) 17.3481 1.07423i 0.881856 0.0546062i
\(388\) 3.88079 0.557974i 0.197017 0.0283268i
\(389\) −7.36837 4.73537i −0.373591 0.240093i 0.340349 0.940299i \(-0.389455\pi\)
−0.713940 + 0.700207i \(0.753091\pi\)
\(390\) 0.702920 3.79223i 0.0355937 0.192027i
\(391\) −9.20450 14.1216i −0.465491 0.714162i
\(392\) 1.27942i 0.0646204i
\(393\) 12.0717 12.8424i 0.608938 0.647811i
\(394\) −3.10316 21.5829i −0.156335 1.08733i
\(395\) 15.8505 7.23870i 0.797527 0.364219i
\(396\) 0.415916 + 0.317598i 0.0209005 + 0.0159599i
\(397\) −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
\(399\) −8.88410 + 26.2728i −0.444761 + 1.31528i
\(400\) −5.95957 + 1.74989i −0.297979 + 0.0874944i
\(401\) 20.6984 + 23.8872i 1.03363 + 1.19287i 0.980950 + 0.194258i \(0.0622301\pi\)
0.0526774 + 0.998612i \(0.483224\pi\)
\(402\) 11.9931 4.90068i 0.598160 0.244424i
\(403\) −4.83486 + 3.10717i −0.240841 + 0.154779i
\(404\) −10.1241 + 8.77261i −0.503694 + 0.436454i
\(405\) −27.1673 13.0401i −1.34995 0.647966i
\(406\) −14.4437 2.07669i −0.716830 0.103065i
\(407\) −1.21545 1.05320i −0.0602478 0.0522050i
\(408\) −4.98406 3.49591i −0.246748 0.173073i
\(409\) −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
\(411\) 0.721070 17.8040i 0.0355678 0.878206i
\(412\) −0.709786 + 1.10445i −0.0349687 + 0.0544123i
\(413\) −24.3163 −1.19653
\(414\) −4.98590 13.4960i −0.245043 0.663290i
\(415\) −39.8070 −1.95405
\(416\) 0.359544 0.559462i 0.0176281 0.0274299i
\(417\) 0.179073 4.42151i 0.00876926 0.216522i
\(418\) 0.485127 + 1.06228i 0.0237284 + 0.0519578i
\(419\) 3.68715 + 1.08265i 0.180129 + 0.0528907i 0.370553 0.928811i \(-0.379168\pi\)
−0.190424 + 0.981702i \(0.560986\pi\)
\(420\) −11.3560 7.96527i −0.554114 0.388665i
\(421\) 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
\(423\) 1.91184 23.5640i 0.0929570 1.14572i
\(424\) 8.93131 7.73902i 0.433743 0.375840i
\(425\) 18.3656 11.8029i 0.890862 0.572522i
\(426\) −6.31206 + 2.57927i −0.305820 + 0.124966i
\(427\) 0.980656 + 1.13174i 0.0474573 + 0.0547686i
\(428\) 1.99389 0.585458i 0.0963782 0.0282992i
\(429\) 0.0643635 0.190341i 0.00310750 0.00918976i
\(430\) −12.7039 + 14.6611i −0.612637 + 0.707020i
\(431\) −0.368781 + 0.807518i −0.0177636 + 0.0388968i −0.918306 0.395872i \(-0.870443\pi\)
0.900542 + 0.434768i \(0.143170\pi\)
\(432\) −3.48587 3.85340i −0.167714 0.185397i
\(433\) −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
\(435\) 24.2337 25.7808i 1.16192 1.23609i
\(436\) 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
\(441\) 0.237218 + 3.83092i 0.0112961 + 0.182425i
\(442\) −0.658545 + 2.24280i −0.0313238 + 0.106679i
\(443\) 3.04728 + 1.39165i 0.144781 + 0.0661191i 0.486488 0.873687i \(-0.338278\pi\)
−0.341707 + 0.939806i \(0.611005\pi\)
\(444\) 9.96064 + 12.4820i 0.472711 + 0.592370i
\(445\) 7.23324 50.3083i 0.342888 2.38484i
\(446\) 1.30015 + 4.42789i 0.0615637 + 0.209667i
\(447\) 15.9713 + 27.2137i 0.755419 + 1.28717i
\(448\) −1.29309 2.01209i −0.0610928 0.0950622i
\(449\) −17.7152 27.5654i −0.836031 1.30089i −0.951522 0.307581i \(-0.900480\pi\)
0.115491 0.993309i \(-0.463156\pi\)
\(450\) 17.5201 6.34460i 0.825905 0.299087i
\(451\) 0.138138 + 0.470455i 0.00650466 + 0.0221528i
\(452\) −1.48112 + 10.3014i −0.0696661 + 0.484539i
\(453\) 9.61187 7.67026i 0.451605 0.360380i
\(454\) 3.65469 + 1.66904i 0.171523 + 0.0783320i
\(455\) −1.50047 + 5.11012i −0.0703429 + 0.239566i
\(456\) −2.81396 11.2491i −0.131776 0.526785i
\(457\) −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 \(-0.728477\pi\)
0.657715 0.753267i \(-0.271523\pi\)
\(462\) −0.526534 0.494938i −0.0244966 0.0230266i
\(463\) 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
\(465\) −44.7096 22.6479i −2.07336 1.05027i
\(466\) 8.65833 18.9591i 0.401089 0.878263i
\(467\) −15.3824 + 17.7523i −0.711815 + 0.821478i −0.990298 0.138963i \(-0.955623\pi\)
0.278483 + 0.960441i \(0.410168\pi\)
\(468\) −0.972841 + 1.74184i −0.0449696 + 0.0805166i
\(469\) −17.1657 + 5.04032i −0.792640 + 0.232740i
\(470\) 17.2793 + 19.9414i 0.797037 + 0.919829i
\(471\) −1.12665 2.75716i −0.0519132 0.127043i
\(472\) 8.55273 5.49651i 0.393671 0.252997i
\(473\) −0.763799 + 0.661836i −0.0351195 + 0.0304312i
\(474\) −8.96677 + 0.920708i −0.411858 + 0.0422895i
\(475\) 41.1591 + 5.91778i 1.88851 + 0.271526i
\(476\) 6.35335 + 5.50521i 0.291205 + 0.252331i
\(477\) −25.3078 + 24.8286i −1.15877 + 1.13683i
\(478\) 8.68772 + 2.55094i 0.397367 + 0.116677i
\(479\) 6.11943 + 13.3997i 0.279604 + 0.612247i 0.996376 0.0850605i \(-0.0271084\pi\)
−0.716772 + 0.697308i \(0.754381\pi\)
\(480\) 5.79469 + 0.234688i 0.264490 + 0.0107120i
\(481\) 3.31493 5.15814i 0.151148 0.235191i
\(482\) −4.06334 −0.185080
\(483\) 4.94539 + 19.2422i 0.225023 + 0.875552i
\(484\) 10.9696 0.498617
\(485\) 7.09738 11.0437i 0.322275 0.501470i
\(486\) 11.1521 + 10.8918i 0.505869 + 0.494061i
\(487\) 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
\(489\) −0.989990 + 1.41141i −0.0447689 + 0.0638263i
\(490\) −3.23755 2.80535i −0.146257 0.126733i
\(491\) −9.28010 1.33428i −0.418805 0.0602151i −0.0703089 0.997525i \(-0.522398\pi\)
−0.348496 + 0.937310i \(0.613308\pi\)
\(492\) −0.497286 4.84307i −0.0224194 0.218343i
\(493\) −16.2063 + 14.0429i −0.729897 + 0.632459i
\(494\) −3.74546 + 2.40706i −0.168516 + 0.108299i
\(495\) 1.71564 0.356078i 0.0771124 0.0160045i
\(496\) −5.65929 6.53117i −0.254110 0.293258i
\(497\) 9.03448 2.65276i 0.405252 0.118993i
\(498\) 19.5068 + 6.59618i 0.874119 + 0.295582i
\(499\) 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
\(501\) 8.66827 17.1122i 0.387270 0.764517i
\(502\) −4.77847 + 2.18225i −0.213274 + 0.0973988i
\(503\) 3.97959 + 27.6786i 0.177441 + 1.23413i 0.862657 + 0.505789i \(0.168799\pi\)
−0.685216 + 0.728340i \(0.740292\pi\)
\(504\) 4.24492 + 5.78497i 0.189084 + 0.257683i
\(505\) 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 \(-0.260274\pi\)
0.861756 + 0.507323i \(0.169365\pi\)
\(510\) −19.7747 + 4.94668i −0.875641 + 0.219043i
\(511\) −4.09811 + 13.9569i −0.181290 + 0.617416i
\(512\) 0.909632 + 0.415415i 0.0402004 + 0.0183589i
\(513\) 10.5114 + 33.1609i 0.464092 + 1.46409i
\(514\) −2.60151 + 18.0939i −0.114748 + 0.798088i
\(515\) 1.23846 + 4.21780i 0.0545730 + 0.185858i
\(516\) 8.65473 5.07933i 0.381003 0.223605i
\(517\) 0.743190 + 1.15643i 0.0326855 + 0.0508596i
\(518\) −11.9221 18.5511i −0.523825 0.815088i
\(519\) 3.61580 2.12206i 0.158716 0.0931480i
\(520\) −0.627344 2.13654i −0.0275109 0.0936934i
\(521\) −0.0294211 + 0.204628i −0.00128896 + 0.00896492i −0.990456 0.137831i \(-0.955987\pi\)
0.989167 + 0.146796i \(0.0468960\pi\)
\(522\) −16.1473 + 8.61780i −0.706748 + 0.377191i
\(523\) 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
\(525\) −24.9617 + 6.24420i −1.08942 + 0.272519i
\(526\) 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
\(531\) −24.5900 + 18.0438i −1.06712 + 0.783033i
\(532\) 2.27880 + 15.8494i 0.0987983 + 0.687158i
\(533\) −1.70038 + 0.776539i −0.0736518 + 0.0336357i
\(534\) −11.8808 + 23.4542i −0.514133 + 1.01496i
\(535\) 2.89046 6.32922i 0.124965 0.273636i
\(536\) 4.89835 5.65299i 0.211576 0.244172i
\(537\) −20.7680 7.02265i −0.896204 0.303050i
\(538\) −8.78029 + 2.57813i −0.378545 + 0.111151i
\(539\) −0.146150 0.168667i −0.00629514 0.00726498i
\(540\) −17.3943 + 0.371680i −0.748534 + 0.0159946i
\(541\) 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
\(543\) 1.63669 + 15.9397i 0.0702370 + 0.684038i
\(544\) −3.47906 0.500213i −0.149163 0.0214465i
\(545\) −7.35758 6.37538i −0.315164 0.273091i
\(546\) 1.58204 2.25549i 0.0677052 0.0965262i
\(547\) −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
\(549\) 1.83149 + 0.416787i 0.0781662 + 0.0177880i
\(550\) −0.585761 + 0.911462i −0.0249769 + 0.0388649i
\(551\) −40.8449 −1.74005
\(552\) −6.08898 5.65016i −0.259164 0.240487i
\(553\) 12.4472 0.529311
\(554\) −15.0282 + 23.3843i −0.638486 + 0.993503i
\(555\) 53.4260 + 2.16378i 2.26781 + 0.0918472i
\(556\) −1.06133 2.32398i −0.0450102 0.0985586i
\(557\) 13.5725 + 3.98526i 0.575087 + 0.168861i 0.556327 0.830963i \(-0.312210\pi\)
0.0187599 + 0.999824i \(0.494028\pi\)
\(558\) 18.1564 + 18.5068i 0.768621 + 0.783454i
\(559\) −2.91195 2.52322i −0.123162 0.106721i
\(560\) −7.92688 1.13971i −0.334972 0.0481617i
\(561\) −1.05639 + 0.108471i −0.0446010 + 0.00457963i
\(562\) −15.2148 + 13.1837i −0.641796 + 0.556119i
\(563\) 7.24324 4.65495i 0.305266 0.196183i −0.379035 0.925382i \(-0.623744\pi\)
0.684301 + 0.729200i \(0.260108\pi\)
\(564\) −5.16308 12.6352i −0.217405 0.532039i
\(565\) 22.8200 + 26.3357i 0.960044 + 1.10795i
\(566\) 10.1097 2.96846i 0.424941 0.124774i
\(567\) −13.7830 16.5347i −0.578832 0.694392i
\(568\) −2.57804 + 2.97522i −0.108172 + 0.124837i
\(569\) 3.20388 7.01552i 0.134314 0.294106i −0.830510 0.557004i \(-0.811951\pi\)
0.964824 + 0.262898i \(0.0846782\pi\)
\(570\) −34.6356 17.5448i −1.45073 0.734872i
\(571\) −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
\(573\) 1.85628 + 1.74489i 0.0775474 + 0.0728940i
\(574\) 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
\(579\) −2.57760 10.3042i −0.107121 0.428227i
\(580\) 5.75526 19.6006i 0.238974 0.813871i
\(581\) −25.8655 11.8124i −1.07308 0.490059i
\(582\) −5.30794 + 4.23574i −0.220021 + 0.175577i
\(583\) 0.293377 2.04048i 0.0121504 0.0845081i
\(584\) −1.71342 5.83537i −0.0709018 0.241469i
\(585\) 2.27457 + 6.28105i 0.0940420 + 0.259689i
\(586\) −0.815155 1.26841i −0.0336737 0.0523973i
\(587\) 8.61402 + 13.4037i 0.355539 + 0.553229i 0.972245 0.233964i \(-0.0751698\pi\)
−0.616706 + 0.787193i \(0.711533\pi\)
\(588\) 1.12165 + 1.91119i 0.0462560 + 0.0788161i
\(589\) 16.2999 + 55.5124i 0.671626 + 2.28735i
\(590\) 4.84455 33.6946i 0.199447 1.38718i
\(591\) 23.5569 + 29.5200i 0.969003 + 1.21429i
\(592\) 8.38664 + 3.83005i 0.344689 + 0.157414i
\(593\) −12.4444 + 42.3816i −0.511029 + 1.74041i 0.148681 + 0.988885i \(0.452497\pi\)
−0.659710 + 0.751520i \(0.729321\pi\)
\(594\) −0.899726 0.109798i −0.0369162 0.00450509i
\(595\) 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 \(0.885066\pi\)
\(600\) 7.36828 7.83865i 0.300809 0.320011i
\(601\) −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
\(603\) −13.6188 + 17.8348i −0.554601 + 0.726288i
\(604\) 2.94936 6.45819i 0.120008 0.262780i
\(605\) 24.0527 27.7583i 0.977882 1.12854i
\(606\) 7.43255 21.9802i 0.301927 0.892883i
\(607\) 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
\(609\) 23.3966 9.56046i 0.948077 0.387409i
\(610\) −1.76360 + 1.13340i −0.0714061 + 0.0458899i
\(611\) −3.96072 + 3.43198i −0.160234 + 0.138843i
\(612\) 10.5100 + 0.852716i 0.424840 + 0.0344690i
\(613\) −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
\(615\) −13.3457 9.36091i −0.538150 0.377468i
\(616\) −0.400313 0.117543i −0.0161291 0.00473593i
\(617\) 17.4628 + 38.2382i 0.703026 + 1.53941i 0.836264 + 0.548328i \(0.184735\pi\)
−0.133238 + 0.991084i \(0.542537\pi\)
\(618\) 0.0920203 2.27208i 0.00370160 0.0913964i
\(619\) 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
\(621\) 19.2796 + 15.7891i 0.773664 + 0.633596i
\(622\) 4.80371 0.192611
\(623\) 19.6285 30.5425i 0.786398 1.22366i
\(624\) −0.0466131 + 1.15093i −0.00186602 + 0.0460740i
\(625\) −7.26030 15.8978i −0.290412 0.635914i
\(626\) 12.1317 + 3.56220i 0.484882 + 0.142374i
\(627\) −1.65597 1.16152i −0.0661329 0.0463868i
\(628\) −1.29960 1.12611i −0.0518597 0.0449367i
\(629\) −32.0763 4.61187i −1.27897 0.183887i
\(630\) 23.9465 + 1.94288i 0.954051 + 0.0774060i
\(631\) 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
\(633\) 16.0674 6.56554i 0.638620 0.260957i
\(634\) 3.25951 + 3.76168i 0.129452 + 0.149395i
\(635\) −69.5049 + 20.4085i −2.75822 + 0.809886i
\(636\) −6.55685 + 19.3905i −0.259996 + 0.768882i
\(637\) 0.557192 0.643034i 0.0220768 0.0254779i
\(638\) 0.442102 0.968069i 0.0175030 0.0383262i
\(639\) 7.16770 9.38659i 0.283550 0.371328i
\(640\) 3.04573 1.39094i 0.120393 0.0549816i
\(641\) −4.47358 31.1145i −0.176696 1.22895i −0.864343 0.502902i \(-0.832266\pi\)
0.687647 0.726045i \(-0.258644\pi\)
\(642\) −2.46520 + 2.62257i −0.0972935 + 0.103504i
\(643\) 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 0.241126 0.970494i \(-0.422483\pi\)
0.504778 + 0.863249i \(0.331574\pi\)
\(648\) 8.58540 + 2.70018i 0.337266 + 0.106073i
\(649\) 0.499636 1.70160i 0.0196124 0.0667937i
\(650\) −3.75736 1.71593i −0.147376 0.0673042i
\(651\) −22.3305 27.9831i −0.875201 1.09674i
\(652\) −0.141653 + 0.985219i −0.00554756 + 0.0385842i
\(653\) −0.503391 1.71439i −0.0196992 0.0670894i 0.949057 0.315105i \(-0.102040\pi\)
−0.968756 + 0.248016i \(0.920222\pi\)
\(654\) 2.54903 + 4.34333i 0.0996751 + 0.169837i
\(655\) −18.4209 28.6635i −0.719765 1.11998i
\(656\) −1.51966 2.36464i −0.0593328 0.0923236i
\(657\) 6.21237 + 17.1550i 0.242368 + 0.669279i
\(658\) 5.31019 + 18.0848i 0.207013 + 0.705021i
\(659\) 0.757007 5.26510i 0.0294888 0.205099i −0.969750 0.244099i \(-0.921508\pi\)
0.999239 + 0.0389994i \(0.0124170\pi\)
\(660\) 0.790726 0.630999i 0.0307790 0.0245616i
\(661\) −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
\(663\) −0.982498 3.92762i −0.0381571 0.152536i
\(664\) 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
\(669\) −5.82402 5.47454i −0.225169 0.211658i
\(670\) −3.56432 24.7904i −0.137702 0.957735i
\(671\) −0.0993463 + 0.0453699i −0.00383522 + 0.00175149i
\(672\) 3.69558 + 1.87201i 0.142560 + 0.0722144i
\(673\) 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
\(675\) −20.6092 + 24.8371i −0.793248 + 0.955982i
\(676\) −12.0491 + 3.53792i −0.463425 + 0.136074i
\(677\) −21.5893 24.9153i −0.829743 0.957575i 0.169868 0.985467i \(-0.445666\pi\)
−0.999611 + 0.0278922i \(0.991120\pi\)
\(678\) −6.81863 16.6867i −0.261868 0.640849i
\(679\) 7.88880 5.06982i 0.302744 0.194562i
\(680\) −8.89423 + 7.70689i −0.341078 + 0.295546i
\(681\) −6.92259 + 0.710810i −0.265274 + 0.0272383i
\(682\) −1.49214 0.214537i −0.0571368 0.00821504i
\(683\) 4.45133 + 3.85710i 0.170325 + 0.147588i 0.735852 0.677142i \(-0.236782\pi\)
−0.565527 + 0.824730i \(0.691327\pi\)
\(684\) 14.0654 + 14.3368i 0.537803 + 0.548182i
\(685\) −33.0506 9.70455i −1.26280 0.370792i
\(686\) −8.22625 18.0130i −0.314080 0.687739i
\(687\) −11.2039 0.453762i −0.427454 0.0173121i
\(688\) 3.13236 4.87405i 0.119420 0.185821i
\(689\) 7.85924 0.299413
\(690\) −27.6488 + 3.01908i −1.05257 + 0.114934i
\(691\) 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
\(693\) 1.22044 + 0.277731i 0.0463606 + 0.0105501i
\(694\) −0.644637 1.41156i −0.0244701 0.0535820i
\(695\) −8.20793 2.41007i −0.311344 0.0914190i
\(696\) −6.06817 + 8.65128i −0.230013 + 0.327926i
\(697\) 7.46656 + 6.46981i 0.282816 + 0.245061i
\(698\) −1.63959 0.235738i −0.0620595 0.00892281i
\(699\) 3.68740 + 35.9116i 0.139470 + 1.35830i
\(700\) −11.2272 + 9.72842i −0.424348 + 0.367700i
\(701\) 7.79469 5.00934i 0.294401 0.189200i −0.385099 0.922875i \(-0.625833\pi\)
0.679501 + 0.733675i \(0.262196\pi\)
\(702\) −0.0738223 3.45483i −0.00278624 0.130394i
\(703\) −40.4210 46.6483i −1.52451 1.75937i
\(704\) 0.167371 0.0491445i 0.00630803 0.00185220i
\(705\) −43.2942 14.6398i −1.63055 0.551368i
\(706\) 13.7977 15.9234i 0.519284 0.599286i
\(707\) −13.3101 + 29.1451i −0.500579 + 1.09611i
\(708\) −7.95732 + 15.7087i −0.299054 + 0.590370i
\(709\) 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
\(711\) 12.5873 9.23639i 0.472062 0.346392i
\(712\) 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
\(717\) −15.2140 + 3.80581i −0.568179 + 0.142131i
\(718\) 1.55152 5.28399i 0.0579022 0.197197i
\(719\) −13.1320 5.99720i −0.489742 0.223658i 0.155209 0.987882i \(-0.450395\pi\)
−0.644951 + 0.764224i \(0.723122\pi\)
\(720\) −8.86182 + 4.72955i −0.330261 + 0.176260i
\(721\) −0.446878 + 3.10811i −0.0166426 + 0.115752i
\(722\) 7.27429 + 24.7740i 0.270721 + 0.921991i
\(723\) 6.06979 3.56227i 0.225738 0.132482i
\(724\) 5.00157 + 7.78259i 0.185882 + 0.289238i
\(725\) −20.4873 31.8788i −0.760879 1.18395i
\(726\) −16.3863 + 9.61687i −0.608152 + 0.356915i
\(727\) −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
\(729\) −26.2076 6.49322i −0.970652 0.240489i
\(730\) −18.5233 8.45930i −0.685577 0.313093i
\(731\) −5.73726 + 19.5393i −0.212200 + 0.722688i
\(732\) 1.05203 0.263167i 0.0388842 0.00972692i
\(733\) −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
\(738\) 4.98869 + 6.79859i 0.183636 + 0.250260i
\(739\) 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
\(741\) 3.48472 6.87925i 0.128014 0.252716i
\(742\) 11.7419 25.7112i 0.431060 0.943889i
\(743\) 4.25720 4.91307i 0.156181 0.180243i −0.672266 0.740309i \(-0.734679\pi\)
0.828448 + 0.560067i \(0.189224\pi\)
\(744\) 14.1796 + 4.79481i 0.519850 + 0.175786i
\(745\) 58.5281 17.1854i 2.14431 0.629625i
\(746\) 2.97492 + 3.43324i 0.108920 + 0.125700i
\(747\) −34.9219 + 7.24797i −1.27772 + 0.265189i
\(748\) −0.515787 + 0.331476i −0.0188590 + 0.0121200i
\(749\) 3.75627 3.25483i 0.137251 0.118929i
\(750\) −0.717462 6.98736i −0.0261980 0.255142i
\(751\) 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
\(753\) 5.22490 7.44906i 0.190406 0.271459i
\(754\) 3.89303 + 1.14310i 0.141776 + 0.0416291i
\(755\) −9.87536 21.6240i −0.359401 0.786979i
\(756\) −11.4126 4.92010i −0.415074 0.178942i
\(757\) −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
\(759\) −1.44814 0.0493089i −0.0525642 0.00178980i
\(760\) −22.4161 −0.813119
\(761\) −18.9836 + 29.5390i −0.688154 + 1.07079i 0.304815 + 0.952412i \(0.401405\pi\)
−0.992969 + 0.118377i \(0.962231\pi\)
\(762\) 37.4415 + 1.51640i 1.35636 + 0.0549333i
\(763\) −2.88891 6.32583i −0.104586 0.229010i
\(764\) 1.41130 + 0.414394i 0.0510589 + 0.0149923i
\(765\) 25.2027 24.7256i 0.911207 0.893954i
\(766\) 8.34232 + 7.22866i 0.301420 + 0.261182i
\(767\) 6.69235 + 0.962214i 0.241647 + 0.0347435i
\(768\) −1.72299 + 0.176917i −0.0621731 + 0.00638393i
\(769\) −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
\(771\) −11.9765 29.3093i −0.431325 1.05555i
\(772\) −4.01589