Properties

Label 384.2.v.a.13.3
Level $384$
Weight $2$
Character 384.13
Analytic conductor $3.066$
Analytic rank $0$
Dimension $512$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 384 = 2^{7} \cdot 3 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 384.v (of order \(32\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.06625543762\)
Analytic rank: \(0\)
Dimension: \(512\)
Relative dimension: \(32\) over \(\Q(\zeta_{32})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{32}]$

Embedding invariants

Embedding label 13.3
Character \(\chi\) \(=\) 384.13
Dual form 384.2.v.a.325.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.34449 + 0.438569i) q^{2} +(-0.290285 - 0.956940i) q^{3} +(1.61531 - 1.17931i) q^{4} +(0.414961 + 4.21317i) q^{5} +(0.809970 + 1.15929i) q^{6} +(-0.841223 + 1.25898i) q^{7} +(-1.65457 + 2.29399i) q^{8} +(-0.831470 + 0.555570i) q^{9} +O(q^{10})\) \(q+(-1.34449 + 0.438569i) q^{2} +(-0.290285 - 0.956940i) q^{3} +(1.61531 - 1.17931i) q^{4} +(0.414961 + 4.21317i) q^{5} +(0.809970 + 1.15929i) q^{6} +(-0.841223 + 1.25898i) q^{7} +(-1.65457 + 2.29399i) q^{8} +(-0.831470 + 0.555570i) q^{9} +(-2.40568 - 5.48258i) q^{10} +(0.784308 - 0.419221i) q^{11} +(-1.59743 - 1.20342i) q^{12} +(-5.50473 - 0.542168i) q^{13} +(0.578867 - 2.06162i) q^{14} +(3.91129 - 1.62011i) q^{15} +(1.21848 - 3.80990i) q^{16} +(-5.12904 - 2.12452i) q^{17} +(0.874248 - 1.11162i) q^{18} +(3.70651 - 3.04185i) q^{19} +(5.63890 + 6.31622i) q^{20} +(1.44896 + 0.439538i) q^{21} +(-0.870637 + 0.907612i) q^{22} +(-1.31379 + 6.60489i) q^{23} +(2.67551 + 0.917413i) q^{24} +(-12.6747 + 2.52114i) q^{25} +(7.63883 - 1.68526i) q^{26} +(0.773010 + 0.634393i) q^{27} +(0.125881 + 3.02571i) q^{28} +(-0.0996101 + 0.186357i) q^{29} +(-4.54817 + 3.89360i) q^{30} +(-3.51113 + 3.51113i) q^{31} +(0.0326686 + 5.65676i) q^{32} +(-0.628842 - 0.628842i) q^{33} +(7.82770 + 0.606957i) q^{34} +(-5.65336 - 3.02179i) q^{35} +(-0.687898 + 1.87798i) q^{36} +(-1.41029 + 1.71844i) q^{37} +(-3.64931 + 5.71531i) q^{38} +(1.07911 + 5.42508i) q^{39} +(-10.3516 - 6.01906i) q^{40} +(5.17331 + 1.02903i) q^{41} +(-2.14088 + 0.0445153i) q^{42} +(0.959206 - 3.16208i) q^{43} +(0.772514 - 1.60211i) q^{44} +(-2.68574 - 3.27258i) q^{45} +(-1.13032 - 9.45641i) q^{46} +(0.429316 - 1.03646i) q^{47} +(-3.99955 - 0.0600573i) q^{48} +(1.80141 + 4.34899i) q^{49} +(15.9353 - 8.94837i) q^{50} +(-0.544155 + 5.52490i) q^{51} +(-9.53124 + 5.61598i) q^{52} +(2.70031 + 5.05193i) q^{53} +(-1.31753 - 0.513918i) q^{54} +(2.09171 + 3.13046i) q^{55} +(-1.49623 - 4.01283i) q^{56} +(-3.98681 - 2.66390i) q^{57} +(0.0521943 - 0.294242i) q^{58} +(-11.8882 + 1.17088i) q^{59} +(4.40736 - 7.22959i) q^{60} +(-6.06677 + 1.84033i) q^{61} +(3.18081 - 6.26055i) q^{62} -1.51416i q^{63} +(-2.52480 - 7.59114i) q^{64} -23.4173i q^{65} +(1.12126 + 0.569682i) q^{66} +(12.7691 - 3.87346i) q^{67} +(-10.7905 + 2.61694i) q^{68} +(6.70186 - 0.660076i) q^{69} +(8.92616 + 1.58337i) q^{70} +(0.0488394 + 0.0326335i) q^{71} +(0.101250 - 2.82661i) q^{72} +(6.80173 + 10.1795i) q^{73} +(1.14246 - 2.92894i) q^{74} +(6.09184 + 11.3970i) q^{75} +(2.39990 - 9.28465i) q^{76} +(-0.131987 + 1.34009i) q^{77} +(-3.83013 - 6.82070i) q^{78} +(1.95805 + 4.72715i) q^{79} +(16.5573 + 3.55270i) q^{80} +(0.382683 - 0.923880i) q^{81} +(-7.40677 + 0.885325i) q^{82} +(-0.148807 - 0.181321i) q^{83} +(2.85888 - 0.998777i) q^{84} +(6.82260 - 22.4911i) q^{85} +(0.0971461 + 4.67207i) q^{86} +(0.207248 + 0.0412242i) q^{87} +(-0.336001 + 2.49283i) q^{88} +(2.00111 + 10.0603i) q^{89} +(5.04620 + 3.22207i) q^{90} +(5.31328 - 6.47425i) q^{91} +(5.66699 + 12.2183i) q^{92} +(4.37917 + 2.34071i) q^{93} +(-0.122652 + 1.58180i) q^{94} +(14.3539 + 14.3539i) q^{95} +(5.40370 - 1.67333i) q^{96} +(3.64779 - 3.64779i) q^{97} +(-4.32932 - 5.05714i) q^{98} +(-0.419221 + 0.784308i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 512 q + O(q^{10}) \) \( 512 q - 96 q^{50} - 96 q^{52} - 32 q^{54} - 224 q^{56} - 192 q^{60} - 192 q^{62} - 192 q^{64} - 192 q^{66} - 192 q^{68} - 192 q^{70} - 224 q^{74} - 32 q^{76} - 96 q^{78} - 96 q^{80} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/384\mathbb{Z}\right)^\times\).

\(n\) \(127\) \(133\) \(257\)
\(\chi(n)\) \(1\) \(e\left(\frac{15}{32}\right)\) \(1\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.34449 + 0.438569i −0.950699 + 0.310115i
\(3\) −0.290285 0.956940i −0.167596 0.552490i
\(4\) 1.61531 1.17931i 0.807657 0.589653i
\(5\) 0.414961 + 4.21317i 0.185576 + 1.88419i 0.413497 + 0.910506i \(0.364307\pi\)
−0.227921 + 0.973680i \(0.573193\pi\)
\(6\) 0.809970 + 1.15929i 0.330669 + 0.473277i
\(7\) −0.841223 + 1.25898i −0.317952 + 0.475849i −0.955678 0.294414i \(-0.904875\pi\)
0.637725 + 0.770264i \(0.279875\pi\)
\(8\) −1.65457 + 2.29399i −0.584978 + 0.811049i
\(9\) −0.831470 + 0.555570i −0.277157 + 0.185190i
\(10\) −2.40568 5.48258i −0.760742 1.73374i
\(11\) 0.784308 0.419221i 0.236478 0.126400i −0.348902 0.937159i \(-0.613445\pi\)
0.585380 + 0.810759i \(0.300945\pi\)
\(12\) −1.59743 1.20342i −0.461137 0.347399i
\(13\) −5.50473 0.542168i −1.52674 0.150370i −0.700483 0.713669i \(-0.747032\pi\)
−0.826253 + 0.563299i \(0.809532\pi\)
\(14\) 0.578867 2.06162i 0.154709 0.550991i
\(15\) 3.91129 1.62011i 1.00989 0.418311i
\(16\) 1.21848 3.80990i 0.304620 0.952474i
\(17\) −5.12904 2.12452i −1.24398 0.515271i −0.339020 0.940779i \(-0.610096\pi\)
−0.904955 + 0.425508i \(0.860096\pi\)
\(18\) 0.874248 1.11162i 0.206062 0.262010i
\(19\) 3.70651 3.04185i 0.850331 0.697849i −0.104652 0.994509i \(-0.533373\pi\)
0.954983 + 0.296660i \(0.0958728\pi\)
\(20\) 5.63890 + 6.31622i 1.26090 + 1.41235i
\(21\) 1.44896 + 0.439538i 0.316189 + 0.0959150i
\(22\) −0.870637 + 0.907612i −0.185621 + 0.193504i
\(23\) −1.31379 + 6.60489i −0.273945 + 1.37721i 0.561425 + 0.827527i \(0.310253\pi\)
−0.835370 + 0.549687i \(0.814747\pi\)
\(24\) 2.67551 + 0.917413i 0.546136 + 0.187266i
\(25\) −12.6747 + 2.52114i −2.53493 + 0.504229i
\(26\) 7.63883 1.68526i 1.49810 0.330507i
\(27\) 0.773010 + 0.634393i 0.148766 + 0.122089i
\(28\) 0.125881 + 3.02571i 0.0237893 + 0.571805i
\(29\) −0.0996101 + 0.186357i −0.0184971 + 0.0346057i −0.891000 0.454003i \(-0.849995\pi\)
0.872503 + 0.488609i \(0.162495\pi\)
\(30\) −4.54817 + 3.89360i −0.830378 + 0.710870i
\(31\) −3.51113 + 3.51113i −0.630617 + 0.630617i −0.948223 0.317606i \(-0.897121\pi\)
0.317606 + 0.948223i \(0.397121\pi\)
\(32\) 0.0326686 + 5.65676i 0.00577504 + 0.999983i
\(33\) −0.628842 0.628842i −0.109467 0.109467i
\(34\) 7.82770 + 0.606957i 1.34244 + 0.104092i
\(35\) −5.65336 3.02179i −0.955593 0.510775i
\(36\) −0.687898 + 1.87798i −0.114650 + 0.312996i
\(37\) −1.41029 + 1.71844i −0.231850 + 0.282510i −0.875920 0.482457i \(-0.839745\pi\)
0.644070 + 0.764967i \(0.277245\pi\)
\(38\) −3.64931 + 5.71531i −0.591996 + 0.927145i
\(39\) 1.07911 + 5.42508i 0.172797 + 0.868707i
\(40\) −10.3516 6.01906i −1.63672 0.951697i
\(41\) 5.17331 + 1.02903i 0.807935 + 0.160708i 0.581741 0.813374i \(-0.302372\pi\)
0.226194 + 0.974082i \(0.427372\pi\)
\(42\) −2.14088 + 0.0445153i −0.330346 + 0.00686887i
\(43\) 0.959206 3.16208i 0.146278 0.482212i −0.852930 0.522026i \(-0.825176\pi\)
0.999207 + 0.0398135i \(0.0126764\pi\)
\(44\) 0.772514 1.60211i 0.116461 0.241527i
\(45\) −2.68574 3.27258i −0.400366 0.487847i
\(46\) −1.13032 9.45641i −0.166656 1.39427i
\(47\) 0.429316 1.03646i 0.0626222 0.151183i −0.889471 0.456992i \(-0.848927\pi\)
0.952093 + 0.305809i \(0.0989268\pi\)
\(48\) −3.99955 0.0600573i −0.577285 0.00866853i
\(49\) 1.80141 + 4.34899i 0.257345 + 0.621285i
\(50\) 15.9353 8.94837i 2.25359 1.26549i
\(51\) −0.544155 + 5.52490i −0.0761970 + 0.773641i
\(52\) −9.53124 + 5.61598i −1.32175 + 0.778796i
\(53\) 2.70031 + 5.05193i 0.370917 + 0.693936i 0.996259 0.0864141i \(-0.0275408\pi\)
−0.625343 + 0.780350i \(0.715041\pi\)
\(54\) −1.31753 0.513918i −0.179293 0.0699353i
\(55\) 2.09171 + 3.13046i 0.282045 + 0.422111i
\(56\) −1.49623 4.01283i −0.199942 0.536237i
\(57\) −3.98681 2.66390i −0.528067 0.352843i
\(58\) 0.0521943 0.294242i 0.00685345 0.0386358i
\(59\) −11.8882 + 1.17088i −1.54771 + 0.152436i −0.835484 0.549515i \(-0.814813\pi\)
−0.712226 + 0.701951i \(0.752313\pi\)
\(60\) 4.40736 7.22959i 0.568988 0.933336i
\(61\) −6.06677 + 1.84033i −0.776770 + 0.235631i −0.653686 0.756766i \(-0.726778\pi\)
−0.123084 + 0.992396i \(0.539278\pi\)
\(62\) 3.18081 6.26055i 0.403963 0.795091i
\(63\) 1.51416i 0.190766i
\(64\) −2.52480 7.59114i −0.315600 0.948892i
\(65\) 23.4173i 2.90456i
\(66\) 1.12126 + 0.569682i 0.138018 + 0.0701230i
\(67\) 12.7691 3.87346i 1.55999 0.473219i 0.611827 0.790992i \(-0.290435\pi\)
0.948167 + 0.317773i \(0.102935\pi\)
\(68\) −10.7905 + 2.61694i −1.30854 + 0.317351i
\(69\) 6.70186 0.660076i 0.806809 0.0794638i
\(70\) 8.92616 + 1.58337i 1.06688 + 0.189249i
\(71\) 0.0488394 + 0.0326335i 0.00579617 + 0.00387288i 0.558465 0.829528i \(-0.311391\pi\)
−0.552669 + 0.833401i \(0.686391\pi\)
\(72\) 0.101250 2.82661i 0.0119324 0.333120i
\(73\) 6.80173 + 10.1795i 0.796083 + 1.19142i 0.978102 + 0.208127i \(0.0667368\pi\)
−0.182019 + 0.983295i \(0.558263\pi\)
\(74\) 1.14246 2.92894i 0.132809 0.340482i
\(75\) 6.09184 + 11.3970i 0.703425 + 1.31602i
\(76\) 2.39990 9.28465i 0.275288 1.06502i
\(77\) −0.131987 + 1.34009i −0.0150413 + 0.152717i
\(78\) −3.83013 6.82070i −0.433677 0.772292i
\(79\) 1.95805 + 4.72715i 0.220298 + 0.531846i 0.994930 0.100565i \(-0.0320651\pi\)
−0.774632 + 0.632412i \(0.782065\pi\)
\(80\) 16.5573 + 3.55270i 1.85117 + 0.397204i
\(81\) 0.382683 0.923880i 0.0425204 0.102653i
\(82\) −7.40677 + 0.885325i −0.817941 + 0.0977678i
\(83\) −0.148807 0.181321i −0.0163336 0.0199026i 0.764780 0.644292i \(-0.222848\pi\)
−0.781113 + 0.624389i \(0.785348\pi\)
\(84\) 2.85888 0.998777i 0.311929 0.108975i
\(85\) 6.82260 22.4911i 0.740015 2.43950i
\(86\) 0.0971461 + 4.67207i 0.0104755 + 0.503802i
\(87\) 0.207248 + 0.0412242i 0.0222193 + 0.00441970i
\(88\) −0.336001 + 2.49283i −0.0358178 + 0.265736i
\(89\) 2.00111 + 10.0603i 0.212117 + 1.06639i 0.929251 + 0.369450i \(0.120454\pi\)
−0.717133 + 0.696936i \(0.754546\pi\)
\(90\) 5.04620 + 3.22207i 0.531916 + 0.339636i
\(91\) 5.31328 6.47425i 0.556983 0.678686i
\(92\) 5.66699 + 12.2183i 0.590825 + 1.27385i
\(93\) 4.37917 + 2.34071i 0.454098 + 0.242721i
\(94\) −0.122652 + 1.58180i −0.0126506 + 0.163150i
\(95\) 14.3539 + 14.3539i 1.47268 + 1.47268i
\(96\) 5.40370 1.67333i 0.551513 0.170784i
\(97\) 3.64779 3.64779i 0.370376 0.370376i −0.497238 0.867614i \(-0.665652\pi\)
0.867614 + 0.497238i \(0.165652\pi\)
\(98\) −4.32932 5.05714i −0.437327 0.510848i
\(99\) −0.419221 + 0.784308i −0.0421333 + 0.0788259i
\(100\) −17.5003 + 19.0197i −1.75003 + 1.90197i
\(101\) −6.70428 5.50206i −0.667100 0.547475i 0.238746 0.971082i \(-0.423264\pi\)
−0.905846 + 0.423607i \(0.860764\pi\)
\(102\) −1.69144 7.66683i −0.167477 0.759130i
\(103\) 10.1045 2.00992i 0.995630 0.198043i 0.329723 0.944078i \(-0.393045\pi\)
0.665907 + 0.746035i \(0.268045\pi\)
\(104\) 10.3517 11.7307i 1.01507 1.15029i
\(105\) −1.25058 + 6.28711i −0.122044 + 0.613559i
\(106\) −5.84617 5.60800i −0.567830 0.544697i
\(107\) 5.32451 + 1.61517i 0.514740 + 0.156145i 0.536959 0.843609i \(-0.319573\pi\)
−0.0222190 + 0.999753i \(0.507073\pi\)
\(108\) 1.99680 + 0.113129i 0.192142 + 0.0108859i
\(109\) 9.72895 7.98434i 0.931864 0.764761i −0.0402695 0.999189i \(-0.512822\pi\)
0.972134 + 0.234428i \(0.0753216\pi\)
\(110\) −4.18520 3.29152i −0.399043 0.313834i
\(111\) 2.05383 + 0.850724i 0.194941 + 0.0807471i
\(112\) 3.77157 + 4.73901i 0.356380 + 0.447795i
\(113\) −12.6805 + 5.25243i −1.19288 + 0.494107i −0.888692 0.458506i \(-0.848385\pi\)
−0.304187 + 0.952612i \(0.598385\pi\)
\(114\) 6.52854 + 1.83310i 0.611454 + 0.171686i
\(115\) −28.3727 2.79446i −2.64577 0.260585i
\(116\) 0.0588706 + 0.418496i 0.00546600 + 0.0388564i
\(117\) 4.87822 2.60747i 0.450992 0.241060i
\(118\) 15.4700 6.78803i 1.42413 0.624889i
\(119\) 6.98939 4.67016i 0.640716 0.428113i
\(120\) −2.75498 + 11.6531i −0.251494 + 1.06377i
\(121\) −5.67188 + 8.48857i −0.515625 + 0.771688i
\(122\) 7.34960 5.13501i 0.665402 0.464902i
\(123\) −0.517007 5.24926i −0.0466170 0.473310i
\(124\) −1.53088 + 9.81226i −0.137477 + 0.881167i
\(125\) −9.73681 32.0980i −0.870887 2.87093i
\(126\) 0.664065 + 2.03578i 0.0591596 + 0.181361i
\(127\) 4.42958 0.393062 0.196531 0.980498i \(-0.437032\pi\)
0.196531 + 0.980498i \(0.437032\pi\)
\(128\) 6.72382 + 9.09892i 0.594307 + 0.804238i
\(129\) −3.30436 −0.290933
\(130\) 10.2701 + 31.4844i 0.900748 + 2.76136i
\(131\) 0.154353 + 0.508834i 0.0134859 + 0.0444570i 0.963425 0.267978i \(-0.0863554\pi\)
−0.949939 + 0.312435i \(0.898855\pi\)
\(132\) −1.75737 0.274181i −0.152960 0.0238644i
\(133\) 0.711629 + 7.22529i 0.0617061 + 0.626512i
\(134\) −15.4692 + 10.8080i −1.33633 + 0.933667i
\(135\) −2.35204 + 3.52007i −0.202431 + 0.302959i
\(136\) 13.3600 8.25082i 1.14561 0.707502i
\(137\) −12.1783 + 8.13726i −1.04046 + 0.695213i −0.953621 0.301009i \(-0.902677\pi\)
−0.0868391 + 0.996222i \(0.527677\pi\)
\(138\) −8.72110 + 3.82670i −0.742390 + 0.325750i
\(139\) 18.4153 9.84317i 1.56196 0.834887i 0.561993 0.827142i \(-0.310035\pi\)
0.999970 0.00774512i \(-0.00246537\pi\)
\(140\) −12.6956 + 1.78591i −1.07297 + 0.150937i
\(141\) −1.11646 0.109961i −0.0940226 0.00926041i
\(142\) −0.0799762 0.0224559i −0.00671145 0.00188446i
\(143\) −4.54469 + 1.88247i −0.380046 + 0.157420i
\(144\) 1.10354 + 3.84476i 0.0919614 + 0.320397i
\(145\) −0.826489 0.342343i −0.0686362 0.0284300i
\(146\) −13.6093 10.7032i −1.12631 0.885806i
\(147\) 3.63880 2.98629i 0.300124 0.246305i
\(148\) −0.251492 + 4.43898i −0.0206725 + 0.364882i
\(149\) 11.1564 + 3.38425i 0.913966 + 0.277249i 0.712029 0.702150i \(-0.247776\pi\)
0.201937 + 0.979399i \(0.435276\pi\)
\(150\) −13.1888 12.6515i −1.07686 1.03299i
\(151\) 1.00061 5.03042i 0.0814287 0.409370i −0.918475 0.395480i \(-0.870578\pi\)
0.999904 0.0138904i \(-0.00442159\pi\)
\(152\) 0.845314 + 13.5357i 0.0685640 + 1.09789i
\(153\) 5.44496 1.08307i 0.440199 0.0875610i
\(154\) −0.410265 1.85962i −0.0330601 0.149852i
\(155\) −16.2499 13.3360i −1.30523 1.07117i
\(156\) 8.14093 + 7.49060i 0.651796 + 0.599728i
\(157\) −1.65863 + 3.10309i −0.132373 + 0.247653i −0.939372 0.342900i \(-0.888591\pi\)
0.806998 + 0.590554i \(0.201091\pi\)
\(158\) −4.70577 5.49688i −0.374371 0.437308i
\(159\) 4.05054 4.05054i 0.321228 0.321228i
\(160\) −23.8193 + 2.48497i −1.88308 + 0.196454i
\(161\) −7.21022 7.21022i −0.568245 0.568245i
\(162\) −0.109329 + 1.40998i −0.00858973 + 0.110779i
\(163\) −14.2323 7.60732i −1.11476 0.595851i −0.192064 0.981382i \(-0.561518\pi\)
−0.922695 + 0.385531i \(0.874018\pi\)
\(164\) 9.57006 4.43869i 0.747296 0.346604i
\(165\) 2.38847 2.91036i 0.185942 0.226571i
\(166\) 0.279591 + 0.178523i 0.0217005 + 0.0138561i
\(167\) −3.95147 19.8654i −0.305774 1.53723i −0.762126 0.647429i \(-0.775844\pi\)
0.456353 0.889799i \(-0.349156\pi\)
\(168\) −3.40570 + 2.59666i −0.262756 + 0.200337i
\(169\) 17.2578 + 3.43280i 1.32753 + 0.264061i
\(170\) 0.690977 + 33.2313i 0.0529955 + 2.54872i
\(171\) −1.39189 + 4.58843i −0.106440 + 0.350886i
\(172\) −2.17964 6.23895i −0.166196 0.475715i
\(173\) −4.57879 5.57927i −0.348119 0.424184i 0.569286 0.822140i \(-0.307220\pi\)
−0.917405 + 0.397956i \(0.869720\pi\)
\(174\) −0.296723 + 0.0354671i −0.0224945 + 0.00268875i
\(175\) 7.48814 18.0780i 0.566050 1.36657i
\(176\) −0.641527 3.49894i −0.0483569 0.263743i
\(177\) 4.57142 + 11.0364i 0.343609 + 0.829546i
\(178\) −7.10260 12.6483i −0.532362 0.948031i
\(179\) −1.37679 + 13.9788i −0.102906 + 1.04483i 0.795587 + 0.605839i \(0.207162\pi\)
−0.898494 + 0.438986i \(0.855338\pi\)
\(180\) −8.19768 2.11894i −0.611019 0.157937i
\(181\) −2.60754 4.87837i −0.193817 0.362606i 0.766176 0.642631i \(-0.222157\pi\)
−0.959993 + 0.280025i \(0.909657\pi\)
\(182\) −4.30425 + 11.0348i −0.319052 + 0.817955i
\(183\) 3.52218 + 5.27131i 0.260367 + 0.389667i
\(184\) −12.9778 13.9421i −0.956737 1.02782i
\(185\) −7.82529 5.22869i −0.575327 0.384421i
\(186\) −6.91432 1.22650i −0.506982 0.0899314i
\(187\) −4.91339 + 0.483927i −0.359303 + 0.0353882i
\(188\) −0.528824 2.18051i −0.0385684 0.159030i
\(189\) −1.44896 + 0.439538i −0.105396 + 0.0319717i
\(190\) −25.5939 13.0035i −1.85677 0.943373i
\(191\) 2.83320i 0.205003i 0.994733 + 0.102501i \(0.0326846\pi\)
−0.994733 + 0.102501i \(0.967315\pi\)
\(192\) −6.53135 + 4.61968i −0.471360 + 0.333396i
\(193\) 24.2641i 1.74657i 0.487208 + 0.873286i \(0.338015\pi\)
−0.487208 + 0.873286i \(0.661985\pi\)
\(194\) −3.30461 + 6.50422i −0.237257 + 0.466976i
\(195\) −22.4090 + 6.79768i −1.60474 + 0.486792i
\(196\) 8.03863 + 4.90058i 0.574188 + 0.350041i
\(197\) −13.3652 + 1.31636i −0.952230 + 0.0937865i −0.562187 0.827010i \(-0.690040\pi\)
−0.390043 + 0.920797i \(0.627540\pi\)
\(198\) 0.219666 1.23835i 0.0156110 0.0880059i
\(199\) −11.8440 7.91391i −0.839600 0.561002i 0.0597597 0.998213i \(-0.480967\pi\)
−0.899359 + 0.437210i \(0.855967\pi\)
\(200\) 15.1876 33.2470i 1.07393 2.35092i
\(201\) −7.41335 11.0949i −0.522897 0.782571i
\(202\) 11.4269 + 4.45718i 0.803992 + 0.313606i
\(203\) −0.150826 0.282175i −0.0105859 0.0198048i
\(204\) 5.63656 + 9.56618i 0.394638 + 0.669766i
\(205\) −2.18878 + 22.2230i −0.152871 + 1.55212i
\(206\) −12.7040 + 7.13386i −0.885128 + 0.497039i
\(207\) −2.57710 6.22167i −0.179121 0.432436i
\(208\) −8.77300 + 20.3118i −0.608298 + 1.40837i
\(209\) 1.63183 3.93960i 0.112876 0.272508i
\(210\) −1.07593 9.00143i −0.0742465 0.621158i
\(211\) 14.0040 + 17.0639i 0.964075 + 1.17473i 0.984579 + 0.174940i \(0.0559730\pi\)
−0.0205037 + 0.999790i \(0.506527\pi\)
\(212\) 10.3196 + 4.97596i 0.708755 + 0.341750i
\(213\) 0.0170509 0.0562094i 0.00116831 0.00385140i
\(214\) −7.86712 + 0.163581i −0.537785 + 0.0111821i
\(215\) 13.7204 + 2.72916i 0.935723 + 0.186127i
\(216\) −2.73429 + 0.723633i −0.186045 + 0.0492370i
\(217\) −1.46680 7.37408i −0.0995725 0.500585i
\(218\) −9.57880 + 15.0017i −0.648758 + 1.01604i
\(219\) 7.76675 9.46381i 0.524828 0.639505i
\(220\) 7.07053 + 2.58991i 0.476695 + 0.174612i
\(221\) 27.0821 + 14.4757i 1.82174 + 0.973740i
\(222\) −3.13446 0.243045i −0.210371 0.0163121i
\(223\) 18.8562 + 18.8562i 1.26271 + 1.26271i 0.949777 + 0.312929i \(0.101310\pi\)
0.312929 + 0.949777i \(0.398690\pi\)
\(224\) −7.14922 4.71747i −0.477678 0.315199i
\(225\) 9.13791 9.13791i 0.609194 0.609194i
\(226\) 14.7452 12.6231i 0.980839 0.839677i
\(227\) 9.68282 18.1153i 0.642672 1.20235i −0.323933 0.946080i \(-0.605005\pi\)
0.966604 0.256274i \(-0.0824949\pi\)
\(228\) −9.58151 + 0.398629i −0.634551 + 0.0263998i
\(229\) 14.5716 + 11.9586i 0.962921 + 0.790249i 0.977778 0.209641i \(-0.0672295\pi\)
−0.0148577 + 0.999890i \(0.504730\pi\)
\(230\) 39.3724 8.68625i 2.59614 0.572754i
\(231\) 1.32070 0.262703i 0.0868954 0.0172846i
\(232\) −0.262691 0.536846i −0.0172465 0.0352457i
\(233\) 0.578460 2.90812i 0.0378962 0.190517i −0.957200 0.289426i \(-0.906535\pi\)
0.995096 + 0.0989095i \(0.0315354\pi\)
\(234\) −5.41518 + 5.64515i −0.354001 + 0.369035i
\(235\) 4.54493 + 1.37869i 0.296479 + 0.0899359i
\(236\) −17.8223 + 15.9111i −1.16013 + 1.03573i
\(237\) 3.95521 3.24596i 0.256919 0.210848i
\(238\) −7.34899 + 9.34432i −0.476364 + 0.605703i
\(239\) 20.8587 + 8.63997i 1.34924 + 0.558873i 0.936081 0.351785i \(-0.114425\pi\)
0.413159 + 0.910659i \(0.364425\pi\)
\(240\) −1.40662 16.8757i −0.0907972 1.08932i
\(241\) −10.6084 + 4.39414i −0.683347 + 0.283052i −0.697225 0.716852i \(-0.745582\pi\)
0.0138783 + 0.999904i \(0.495582\pi\)
\(242\) 3.90297 13.9003i 0.250892 0.893546i
\(243\) −0.995185 0.0980171i −0.0638411 0.00628780i
\(244\) −7.62942 + 10.1273i −0.488423 + 0.648333i
\(245\) −17.5755 + 9.39431i −1.12286 + 0.600180i
\(246\) 2.99728 + 6.83084i 0.191099 + 0.435519i
\(247\) −22.0525 + 14.7350i −1.40317 + 0.937567i
\(248\) −2.24510 13.8639i −0.142564 0.880359i
\(249\) −0.130317 + 0.195034i −0.00825853 + 0.0123598i
\(250\) 27.1682 + 38.8852i 1.71827 + 2.45931i
\(251\) 0.600093 + 6.09285i 0.0378776 + 0.384577i 0.995370 + 0.0961186i \(0.0306428\pi\)
−0.957492 + 0.288459i \(0.906857\pi\)
\(252\) −1.78566 2.44585i −0.112486 0.154074i
\(253\) 1.73849 + 5.73104i 0.109298 + 0.360307i
\(254\) −5.95553 + 1.94268i −0.373683 + 0.121894i
\(255\) −23.5031 −1.47182
\(256\) −13.0306 9.28456i −0.814414 0.580285i
\(257\) 24.7962 1.54675 0.773373 0.633951i \(-0.218568\pi\)
0.773373 + 0.633951i \(0.218568\pi\)
\(258\) 4.44269 1.44919i 0.276590 0.0902228i
\(259\) −0.977114 3.22111i −0.0607149 0.200150i
\(260\) −27.6161 37.8263i −1.71268 2.34589i
\(261\) −0.0207118 0.210291i −0.00128203 0.0130167i
\(262\) −0.430685 0.616428i −0.0266078 0.0380831i
\(263\) −9.46032 + 14.1584i −0.583348 + 0.873043i −0.999340 0.0363259i \(-0.988435\pi\)
0.415992 + 0.909368i \(0.363435\pi\)
\(264\) 2.48302 0.402097i 0.152819 0.0247473i
\(265\) −20.1641 + 13.4732i −1.23867 + 0.827653i
\(266\) −4.12557 9.40225i −0.252955 0.576489i
\(267\) 9.04618 4.83529i 0.553617 0.295915i
\(268\) 16.0581 21.3155i 0.980905 1.30205i
\(269\) 13.5644 + 1.33598i 0.827037 + 0.0814560i 0.502673 0.864476i \(-0.332350\pi\)
0.324364 + 0.945932i \(0.394850\pi\)
\(270\) 1.61850 5.76423i 0.0984986 0.350800i
\(271\) −22.8564 + 9.46743i −1.38843 + 0.575106i −0.946721 0.322054i \(-0.895627\pi\)
−0.441707 + 0.897160i \(0.645627\pi\)
\(272\) −14.3438 + 16.9524i −0.869722 + 1.02789i
\(273\) −7.73783 3.20512i −0.468315 0.193982i
\(274\) 12.8048 16.2815i 0.773568 0.983601i
\(275\) −8.88391 + 7.29083i −0.535720 + 0.439654i
\(276\) 10.0472 8.96977i 0.604769 0.539917i
\(277\) 5.02338 + 1.52383i 0.301826 + 0.0915578i 0.437565 0.899187i \(-0.355841\pi\)
−0.135739 + 0.990745i \(0.543341\pi\)
\(278\) −20.4423 + 21.3104i −1.22605 + 1.27811i
\(279\) 0.968718 4.87007i 0.0579956 0.291564i
\(280\) 16.2858 7.96902i 0.973265 0.476240i
\(281\) 16.7802 3.33779i 1.00102 0.199116i 0.332736 0.943020i \(-0.392028\pi\)
0.668286 + 0.743905i \(0.267028\pi\)
\(282\) 1.54929 0.341801i 0.0922589 0.0203540i
\(283\) 3.79580 + 3.11513i 0.225637 + 0.185175i 0.740419 0.672146i \(-0.234627\pi\)
−0.514782 + 0.857321i \(0.672127\pi\)
\(284\) 0.117376 0.00488329i 0.00696497 0.000289770i
\(285\) 9.56910 17.9025i 0.566825 1.06045i
\(286\) 5.28470 4.52413i 0.312491 0.267517i
\(287\) −5.64744 + 5.64744i −0.333358 + 0.333358i
\(288\) −3.16989 4.68527i −0.186788 0.276082i
\(289\) 9.77267 + 9.77267i 0.574863 + 0.574863i
\(290\) 1.26135 + 0.0978045i 0.0740689 + 0.00574328i
\(291\) −4.54961 2.43182i −0.266703 0.142556i
\(292\) 22.9917 + 8.42179i 1.34549 + 0.492848i
\(293\) 6.51831 7.94258i 0.380803 0.464010i −0.546971 0.837151i \(-0.684219\pi\)
0.927775 + 0.373141i \(0.121719\pi\)
\(294\) −3.58265 + 5.61091i −0.208944 + 0.327235i
\(295\) −9.86626 49.6010i −0.574436 2.88788i
\(296\) −1.60867 6.07847i −0.0935021 0.353304i
\(297\) 0.872229 + 0.173497i 0.0506119 + 0.0100673i
\(298\) −16.4839 + 0.342749i −0.954886 + 0.0198549i
\(299\) 10.8130 35.6458i 0.625334 2.06145i
\(300\) 23.2808 + 11.2257i 1.34412 + 0.648113i
\(301\) 3.17408 + 3.86763i 0.182951 + 0.222927i
\(302\) 0.860873 + 7.20220i 0.0495376 + 0.414440i
\(303\) −3.31899 + 8.01276i −0.190671 + 0.460321i
\(304\) −7.07284 17.8278i −0.405655 1.02250i
\(305\) −10.2711 24.7966i −0.588121 1.41985i
\(306\) −6.84570 + 3.84417i −0.391343 + 0.219757i
\(307\) −1.55026 + 15.7400i −0.0884779 + 0.898332i 0.843817 + 0.536632i \(0.180304\pi\)
−0.932295 + 0.361700i \(0.882196\pi\)
\(308\) 1.36717 + 2.32031i 0.0779017 + 0.132212i
\(309\) −4.85656 9.08599i −0.276280 0.516884i
\(310\) 27.6967 + 10.8034i 1.57306 + 0.613591i
\(311\) −9.20947 13.7829i −0.522221 0.781559i 0.472806 0.881167i \(-0.343241\pi\)
−0.995027 + 0.0996076i \(0.968241\pi\)
\(312\) −14.2306 6.50068i −0.805647 0.368029i
\(313\) −18.5649 12.4047i −1.04935 0.701155i −0.0936850 0.995602i \(-0.529865\pi\)
−0.955668 + 0.294447i \(0.904865\pi\)
\(314\) 0.869101 4.89950i 0.0490462 0.276495i
\(315\) 6.37941 0.628317i 0.359439 0.0354017i
\(316\) 8.73763 + 5.32670i 0.491530 + 0.299650i
\(317\) −2.09059 + 0.634174i −0.117419 + 0.0356188i −0.348448 0.937328i \(-0.613291\pi\)
0.231028 + 0.972947i \(0.425791\pi\)
\(318\) −3.66947 + 7.22235i −0.205774 + 0.405009i
\(319\) 0.187920i 0.0105215i
\(320\) 30.9350 13.7874i 1.72932 0.770741i
\(321\) 5.56410i 0.310558i
\(322\) 12.8563 + 6.53190i 0.716452 + 0.364009i
\(323\) −25.4733 + 7.72724i −1.41737 + 0.429955i
\(324\) −0.471382 1.94366i −0.0261879 0.107981i
\(325\) 71.1374 7.00642i 3.94599 0.388646i
\(326\) 22.4715 + 3.98613i 1.24458 + 0.220771i
\(327\) −10.4647 6.99229i −0.578699 0.386674i
\(328\) −10.9202 + 10.1649i −0.602967 + 0.561264i
\(329\) 0.943733 + 1.41240i 0.0520297 + 0.0778679i
\(330\) −1.93488 + 4.96047i −0.106512 + 0.273065i
\(331\) −4.54087 8.49537i −0.249589 0.466948i 0.725661 0.688052i \(-0.241534\pi\)
−0.975250 + 0.221104i \(0.929034\pi\)
\(332\) −0.454202 0.117403i −0.0249276 0.00644330i
\(333\) 0.217897 2.21234i 0.0119407 0.121236i
\(334\) 14.0250 + 24.9758i 0.767416 + 1.36662i
\(335\) 21.6182 + 52.1910i 1.18113 + 2.85150i
\(336\) 3.44012 4.98483i 0.187674 0.271945i
\(337\) 0.967110 2.33481i 0.0526818 0.127185i −0.895347 0.445368i \(-0.853073\pi\)
0.948029 + 0.318183i \(0.103073\pi\)
\(338\) −24.7085 + 2.95339i −1.34397 + 0.160643i
\(339\) 8.70721 + 10.6098i 0.472910 + 0.576243i
\(340\) −15.5032 44.3761i −0.840780 2.40663i
\(341\) −1.28187 + 4.22574i −0.0694169 + 0.228837i
\(342\) −0.140967 6.77955i −0.00762262 0.366596i
\(343\) −17.3861 3.45832i −0.938764 0.186732i
\(344\) 5.66671 + 7.43229i 0.305529 + 0.400722i
\(345\) 5.56202 + 27.9621i 0.299449 + 1.50543i
\(346\) 8.60304 + 5.49317i 0.462502 + 0.295315i
\(347\) 5.96250 7.26533i 0.320084 0.390023i −0.587966 0.808886i \(-0.700071\pi\)
0.908050 + 0.418863i \(0.137571\pi\)
\(348\) 0.383387 0.177819i 0.0205517 0.00953208i
\(349\) −16.0116 8.55837i −0.857080 0.458119i −0.0165371 0.999863i \(-0.505264\pi\)
−0.840543 + 0.541744i \(0.817764\pi\)
\(350\) −2.13930 + 27.5897i −0.114350 + 1.47473i
\(351\) −3.91126 3.91126i −0.208768 0.208768i
\(352\) 2.39706 + 4.42294i 0.127763 + 0.235744i
\(353\) 5.78140 5.78140i 0.307713 0.307713i −0.536309 0.844022i \(-0.680182\pi\)
0.844022 + 0.536309i \(0.180182\pi\)
\(354\) −10.9865 12.8334i −0.583924 0.682090i
\(355\) −0.117224 + 0.219310i −0.00622159 + 0.0116398i
\(356\) 15.0965 + 13.8906i 0.800115 + 0.736199i
\(357\) −6.49798 5.33275i −0.343910 0.282239i
\(358\) −4.27959 19.3982i −0.226183 1.02523i
\(359\) −3.19028 + 0.634586i −0.168376 + 0.0334922i −0.278559 0.960419i \(-0.589857\pi\)
0.110182 + 0.993911i \(0.464857\pi\)
\(360\) 11.9510 0.746351i 0.629874 0.0393362i
\(361\) 0.778621 3.91439i 0.0409801 0.206021i
\(362\) 5.64532 + 5.41534i 0.296711 + 0.284624i
\(363\) 9.76951 + 2.96355i 0.512767 + 0.155546i
\(364\) 0.947499 16.7239i 0.0496625 0.876572i
\(365\) −40.0655 + 32.8809i −2.09713 + 1.72107i
\(366\) −7.04737 5.54252i −0.368372 0.289712i
\(367\) 19.1036 + 7.91298i 0.997201 + 0.413054i 0.820770 0.571259i \(-0.193545\pi\)
0.176431 + 0.984313i \(0.443545\pi\)
\(368\) 23.5631 + 13.0533i 1.22831 + 0.680452i
\(369\) −4.87315 + 2.01852i −0.253686 + 0.105080i
\(370\) 12.8142 + 3.59800i 0.666177 + 0.187051i
\(371\) −8.63184 0.850162i −0.448143 0.0441382i
\(372\) 9.83414 1.38339i 0.509877 0.0717252i
\(373\) −8.72403 + 4.66309i −0.451713 + 0.241446i −0.681533 0.731787i \(-0.738686\pi\)
0.229820 + 0.973233i \(0.426186\pi\)
\(374\) 6.39377 2.80550i 0.330614 0.145069i
\(375\) −27.8894 + 18.6351i −1.44020 + 0.962312i
\(376\) 1.66730 + 2.69975i 0.0859845 + 0.139229i
\(377\) 0.649363 0.971841i 0.0334439 0.0500523i
\(378\) 1.75535 1.22642i 0.0902854 0.0630805i
\(379\) −0.878175 8.91626i −0.0451088 0.457998i −0.991034 0.133612i \(-0.957342\pi\)
0.945925 0.324386i \(-0.105158\pi\)
\(380\) 40.1137 + 6.25842i 2.05779 + 0.321050i
\(381\) −1.28584 4.23884i −0.0658755 0.217162i
\(382\) −1.24255 3.80921i −0.0635745 0.194896i
\(383\) −22.0283 −1.12559 −0.562797 0.826595i \(-0.690275\pi\)
−0.562797 + 0.826595i \(0.690275\pi\)
\(384\) 6.75530 9.07557i 0.344730 0.463136i
\(385\) −5.70077 −0.290538
\(386\) −10.6415 32.6229i −0.541639 1.66046i
\(387\) 0.959206 + 3.16208i 0.0487592 + 0.160737i
\(388\) 1.59047 10.1942i 0.0807437 0.517531i
\(389\) 0.666063 + 6.76265i 0.0337707 + 0.342880i 0.997192 + 0.0748881i \(0.0238600\pi\)
−0.963421 + 0.267992i \(0.913640\pi\)
\(390\) 27.1474 18.9673i 1.37466 0.960447i
\(391\) 20.7707 31.0856i 1.05042 1.57207i
\(392\) −12.9571 3.06328i −0.654433 0.154719i
\(393\) 0.442117 0.295413i 0.0223019 0.0149016i
\(394\) 17.3921 7.63139i 0.876199 0.384464i
\(395\) −19.1038 + 10.2112i −0.961215 + 0.513780i
\(396\) 0.247764 + 1.76129i 0.0124506 + 0.0885083i
\(397\) 7.24270 + 0.713343i 0.363501 + 0.0358017i 0.278119 0.960547i \(-0.410289\pi\)
0.0853816 + 0.996348i \(0.472789\pi\)
\(398\) 19.3950 + 5.44577i 0.972182 + 0.272972i
\(399\) 6.70760 2.77838i 0.335800 0.139093i
\(400\) −5.83850 + 51.3611i −0.291925 + 2.56805i
\(401\) 8.05435 + 3.33622i 0.402215 + 0.166603i 0.574614 0.818424i \(-0.305152\pi\)
−0.172400 + 0.985027i \(0.555152\pi\)
\(402\) 14.8330 + 11.6657i 0.739805 + 0.581831i
\(403\) 21.2314 17.4242i 1.05761 0.867960i
\(404\) −17.3181 0.981164i −0.861608 0.0488147i
\(405\) 4.05126 + 1.22894i 0.201309 + 0.0610663i
\(406\) 0.326537 + 0.313234i 0.0162058 + 0.0155456i
\(407\) −0.385693 + 1.93901i −0.0191181 + 0.0961130i
\(408\) −11.7737 10.3896i −0.582887 0.514363i
\(409\) −25.2604 + 5.02460i −1.24904 + 0.248450i −0.774949 0.632023i \(-0.782225\pi\)
−0.474095 + 0.880474i \(0.657225\pi\)
\(410\) −6.80354 30.8386i −0.336003 1.52301i
\(411\) 11.3220 + 9.29176i 0.558475 + 0.458329i
\(412\) 13.9517 15.1630i 0.687351 0.747027i
\(413\) 8.52649 15.9519i 0.419561 0.784944i
\(414\) 6.19352 + 7.23475i 0.304395 + 0.355568i
\(415\) 0.702188 0.702188i 0.0344690 0.0344690i
\(416\) 2.88708 31.1566i 0.141551 1.52758i
\(417\) −14.7650 14.7650i −0.723045 0.723045i
\(418\) −0.466201 + 6.01242i −0.0228026 + 0.294077i
\(419\) −34.0589 18.2049i −1.66389 0.889366i −0.988379 0.152013i \(-0.951424\pi\)
−0.675508 0.737353i \(-0.736076\pi\)
\(420\) 5.39433 + 11.6305i 0.263217 + 0.567509i
\(421\) −0.708559 + 0.863382i −0.0345331 + 0.0420787i −0.789991 0.613119i \(-0.789915\pi\)
0.755458 + 0.655198i \(0.227415\pi\)
\(422\) −26.3120 16.8006i −1.28085 0.817839i
\(423\) 0.218864 + 1.10030i 0.0106415 + 0.0534985i
\(424\) −16.0569 2.16427i −0.779794 0.105106i
\(425\) 70.3650 + 13.9965i 3.41321 + 0.678929i
\(426\) 0.00172688 + 0.0830511i 8.36675e−5 + 0.00402384i
\(427\) 2.78656 9.18606i 0.134851 0.444545i
\(428\) 10.5055 3.67021i 0.507804 0.177406i
\(429\) 3.12066 + 3.80254i 0.150667 + 0.183588i
\(430\) −19.6439 + 2.34802i −0.947312 + 0.113231i
\(431\) −6.27854 + 15.1577i −0.302427 + 0.730123i 0.697482 + 0.716603i \(0.254304\pi\)
−0.999909 + 0.0135205i \(0.995696\pi\)
\(432\) 3.35887 2.17209i 0.161604 0.104505i
\(433\) 8.60322 + 20.7700i 0.413445 + 0.998144i 0.984206 + 0.177028i \(0.0566482\pi\)
−0.570761 + 0.821116i \(0.693352\pi\)
\(434\) 5.20614 + 9.27109i 0.249903 + 0.445027i
\(435\) −0.0876847 + 0.890277i −0.00420416 + 0.0426855i
\(436\) 6.29933 24.3706i 0.301683 1.16714i
\(437\) 15.2215 + 28.4775i 0.728144 + 1.36226i
\(438\) −6.29179 + 16.1303i −0.300633 + 0.770734i
\(439\) −16.5978 24.8404i −0.792171 1.18557i −0.979137 0.203202i \(-0.934865\pi\)
0.186965 0.982366i \(-0.440135\pi\)
\(440\) −10.6421 0.381203i −0.507343 0.0181731i
\(441\) −3.91399 2.61524i −0.186380 0.124535i
\(442\) −42.7603 7.58506i −2.03390 0.360785i
\(443\) 4.01584 0.395526i 0.190798 0.0187920i −0.00216656 0.999998i \(-0.500690\pi\)
0.192965 + 0.981206i \(0.438190\pi\)
\(444\) 4.32084 1.04790i 0.205058 0.0497314i
\(445\) −41.5552 + 12.6056i −1.96991 + 0.597564i
\(446\) −33.6218 17.0823i −1.59204 0.808869i
\(447\) 11.6584i 0.551423i
\(448\) 11.6810 + 3.20716i 0.551876 + 0.151524i
\(449\) 1.27190i 0.0600248i −0.999550 0.0300124i \(-0.990445\pi\)
0.999550 0.0300124i \(-0.00955468\pi\)
\(450\) −8.27824 + 16.2935i −0.390240 + 0.768081i
\(451\) 4.48886 1.36168i 0.211372 0.0641190i
\(452\) −14.2887 + 23.4385i −0.672086 + 1.10245i
\(453\) −5.10428 + 0.502727i −0.239820 + 0.0236202i
\(454\) −5.07366 + 28.6024i −0.238119 + 1.34238i
\(455\) 29.4819 + 19.6992i 1.38213 + 0.923511i
\(456\) 12.7074 4.73811i 0.595080 0.221882i
\(457\) −10.8045 16.1700i −0.505411 0.756401i 0.487772 0.872971i \(-0.337810\pi\)
−0.993182 + 0.116571i \(0.962810\pi\)
\(458\) −24.8361 9.68761i −1.16052 0.452672i
\(459\) −2.61702 4.89610i −0.122152 0.228531i
\(460\) −49.1263 + 28.9461i −2.29053 + 1.34962i
\(461\) −1.51390 + 15.3709i −0.0705094 + 0.715894i 0.893328 + 0.449405i \(0.148364\pi\)
−0.963838 + 0.266490i \(0.914136\pi\)
\(462\) −1.66045 + 0.932418i −0.0772511 + 0.0433800i
\(463\) −6.46123 15.5988i −0.300279 0.724937i −0.999945 0.0104676i \(-0.996668\pi\)
0.699666 0.714470i \(-0.253332\pi\)
\(464\) 0.588629 + 0.606577i 0.0273264 + 0.0281596i
\(465\) −8.04463 + 19.4215i −0.373061 + 0.900649i
\(466\) 0.497675 + 4.16363i 0.0230544 + 0.192876i
\(467\) −9.62203 11.7245i −0.445254 0.542544i 0.501221 0.865319i \(-0.332884\pi\)
−0.946476 + 0.322775i \(0.895384\pi\)
\(468\) 4.80487 9.96479i 0.222105 0.460623i
\(469\) −5.86505 + 19.3345i −0.270823 + 0.892783i
\(470\) −6.71528 + 0.139631i −0.309753 + 0.00644068i
\(471\) 3.45095 + 0.686436i 0.159011 + 0.0316293i
\(472\) 16.9838 29.2087i 0.781744 1.34444i
\(473\) −0.573298 2.88216i −0.0263603 0.132522i
\(474\) −3.89417 + 6.09880i −0.178865 + 0.280127i
\(475\) −39.3098 + 47.8991i −1.80366 + 2.19776i
\(476\) 5.78252 15.7864i 0.265041 0.723569i
\(477\) −5.05193 2.70031i −0.231312 0.123639i
\(478\) −31.8336 2.46837i −1.45604 0.112901i
\(479\) −23.7075 23.7075i −1.08322 1.08322i −0.996207 0.0870140i \(-0.972268\pi\)
−0.0870140 0.996207i \(-0.527732\pi\)
\(480\) 9.29235 + 22.0723i 0.424136 + 1.00746i
\(481\) 8.69493 8.69493i 0.396455 0.396455i
\(482\) 12.3358 10.5604i 0.561879 0.481013i
\(483\) −4.80674 + 8.99277i −0.218714 + 0.409185i
\(484\) 0.848744 + 20.4006i 0.0385793 + 0.927299i
\(485\) 16.8824 + 13.8550i 0.766591 + 0.629125i
\(486\) 1.38100 0.304674i 0.0626436 0.0138203i
\(487\) 32.3001 6.42489i 1.46366 0.291140i 0.601946 0.798537i \(-0.294392\pi\)
0.861712 + 0.507397i \(0.169392\pi\)
\(488\) 5.81617 16.9621i 0.263286 0.767837i
\(489\) −3.14833 + 15.8277i −0.142373 + 0.715755i
\(490\) 19.5101 20.3386i 0.881375 0.918806i
\(491\) 40.3489 + 12.2397i 1.82092 + 0.552369i 0.999830 0.0184320i \(-0.00586742\pi\)
0.821088 + 0.570802i \(0.193367\pi\)
\(492\) −7.02561 7.86949i −0.316739 0.354784i
\(493\) 0.906824 0.744211i 0.0408413 0.0335176i
\(494\) 23.1871 29.4827i 1.04324 1.32649i
\(495\) −3.47838 1.44079i −0.156341 0.0647588i
\(496\) 9.09880 + 17.6553i 0.408548 + 0.792745i
\(497\) −0.0821697 + 0.0340358i −0.00368581 + 0.00152671i
\(498\) 0.0896748 0.319374i 0.00401842 0.0143115i
\(499\) −0.240170 0.0236546i −0.0107515 0.00105893i 0.0926400 0.995700i \(-0.470469\pi\)
−0.103391 + 0.994641i \(0.532969\pi\)
\(500\) −53.5813 40.3656i −2.39623 1.80520i
\(501\) −17.8629 + 9.54793i −0.798056 + 0.426570i
\(502\) −3.47896 7.92860i −0.155273 0.353871i
\(503\) −2.85322 + 1.90646i −0.127219 + 0.0850049i −0.617551 0.786530i \(-0.711875\pi\)
0.490333 + 0.871535i \(0.336875\pi\)
\(504\) 3.47347 + 2.50528i 0.154721 + 0.111594i
\(505\) 20.3991 30.5294i 0.907747 1.35854i
\(506\) −4.85084 6.94288i −0.215646 0.308649i
\(507\) −1.72470 17.5112i −0.0765968 0.777700i
\(508\) 7.15516 5.22382i 0.317459 0.231770i
\(509\) −3.94376 13.0008i −0.174804 0.576252i −0.999936 0.0113121i \(-0.996399\pi\)
0.825132 0.564940i \(-0.191101\pi\)
\(510\) 31.5998 10.3078i 1.39926 0.456435i
\(511\) −18.5376 −0.820054
\(512\) 21.5915 + 6.76818i 0.954217 + 0.299114i
\(513\) 4.79490 0.211700
\(514\) −33.3383 + 10.8749i −1.47049 + 0.479670i
\(515\) 12.6611 + 41.7381i 0.557915 + 1.83920i
\(516\) −5.33758 + 3.89685i −0.234974 + 0.171549i
\(517\) −0.0977905 0.992883i −0.00430082 0.0436670i
\(518\) 2.72640 + 3.90223i 0.119791 + 0.171454i
\(519\) −4.00988 + 6.00121i −0.176014 + 0.263424i
\(520\) 53.7191 + 38.7455i 2.35574 + 1.69910i
\(521\) −11.1128 + 7.42534i −0.486861 + 0.325310i −0.774657 0.632382i \(-0.782077\pi\)
0.287796 + 0.957692i \(0.407077\pi\)
\(522\) 0.120074 + 0.273651i 0.00525550 + 0.0119774i
\(523\) −37.6298 + 20.1136i −1.64544 + 0.879505i −0.652917 + 0.757430i \(0.726455\pi\)
−0.992521 + 0.122075i \(0.961045\pi\)
\(524\) 0.849399 + 0.639897i 0.0371062 + 0.0279540i
\(525\) −19.4732 1.91795i −0.849881 0.0837060i
\(526\) 6.50989 23.1848i 0.283845 1.01091i
\(527\) 25.4682 10.5493i 1.10941 0.459533i
\(528\) −3.16205 + 1.62959i −0.137611 + 0.0709189i
\(529\) −20.6493 8.55322i −0.897795 0.371879i
\(530\) 21.2015 26.9580i 0.920935 1.17098i
\(531\) 9.23415 7.57827i 0.400728 0.328869i
\(532\) 9.67033 + 10.8319i 0.419262 + 0.469622i
\(533\) −27.9197 8.46936i −1.20934 0.366849i
\(534\) −10.0419 + 10.4684i −0.434556 + 0.453011i
\(535\) −4.59553 + 23.1033i −0.198682 + 0.998842i
\(536\) −12.2417 + 35.7011i −0.528759 + 1.54205i
\(537\) 13.7765 2.74033i 0.594502 0.118254i
\(538\) −18.8232 + 4.15272i −0.811524 + 0.179037i
\(539\) 3.23605 + 2.65576i 0.139387 + 0.114392i
\(540\) 0.351960 + 8.45979i 0.0151460 + 0.364051i
\(541\) −6.34068 + 11.8626i −0.272607 + 0.510012i −0.980553 0.196255i \(-0.937122\pi\)
0.707946 + 0.706267i \(0.249622\pi\)
\(542\) 26.5781 22.7530i 1.14163 0.977325i
\(543\) −3.91138 + 3.91138i −0.167853 + 0.167853i
\(544\) 11.8503 29.0832i 0.508079 1.24693i
\(545\) 37.6765 + 37.6765i 1.61388 + 1.61388i
\(546\) 11.8091 + 0.915675i 0.505383 + 0.0391873i
\(547\) 19.2233 + 10.2751i 0.821929 + 0.439330i 0.828052 0.560651i \(-0.189449\pi\)
−0.00612332 + 0.999981i \(0.501949\pi\)
\(548\) −10.0754 + 27.5061i −0.430401 + 1.17500i
\(549\) 4.02190 4.90070i 0.171650 0.209157i
\(550\) 8.74680 13.6987i 0.372965 0.584113i
\(551\) 0.197666 + 0.993734i 0.00842086 + 0.0423345i
\(552\) −9.57448 + 16.4662i −0.407517 + 0.700846i
\(553\) −7.59855 1.51144i −0.323123 0.0642732i
\(554\) −7.42219 + 0.154329i −0.315339 + 0.00655683i
\(555\) −2.73198 + 9.00614i −0.115966 + 0.382289i
\(556\) 18.1384 37.6170i 0.769238 1.59532i
\(557\) 7.85384 + 9.56993i 0.332778 + 0.405491i 0.912338 0.409439i \(-0.134275\pi\)
−0.579560 + 0.814930i \(0.696775\pi\)
\(558\) 0.833432 + 6.97262i 0.0352820 + 0.295175i
\(559\) −6.99454 + 16.8863i −0.295838 + 0.714215i
\(560\) −18.4012 + 17.8567i −0.777592 + 0.754585i
\(561\) 1.88937 + 4.56134i 0.0797693 + 0.192580i
\(562\) −21.0970 + 11.8469i −0.889921 + 0.499731i
\(563\) 1.51768 15.4093i 0.0639627 0.649424i −0.908739 0.417365i \(-0.862954\pi\)
0.972702 0.232059i \(-0.0745463\pi\)
\(564\) −1.93310 + 1.13902i −0.0813984 + 0.0479614i
\(565\) −27.3912 51.2454i −1.15236 2.15591i
\(566\) −6.46962 2.52355i −0.271938 0.106073i
\(567\) 0.841223 + 1.25898i 0.0353280 + 0.0528722i
\(568\) −0.155669 + 0.0580430i −0.00653173 + 0.00243543i
\(569\) 22.9772 + 15.3529i 0.963255 + 0.643626i 0.934501 0.355960i \(-0.115846\pi\)
0.0287536 + 0.999587i \(0.490846\pi\)
\(570\) −5.01408 + 28.2665i −0.210017 + 1.18395i
\(571\) 10.6990 1.05376i 0.447738 0.0440983i 0.128364 0.991727i \(-0.459027\pi\)
0.319374 + 0.947629i \(0.396527\pi\)
\(572\) −5.12109 + 8.40035i −0.214123 + 0.351236i
\(573\) 2.71120 0.822434i 0.113262 0.0343577i
\(574\) 5.11614 10.0697i 0.213544 0.420302i
\(575\) 87.0269i 3.62927i
\(576\) 6.31671 + 4.90909i 0.263196 + 0.204546i
\(577\) 36.9898i 1.53990i −0.638102 0.769952i \(-0.720280\pi\)
0.638102 0.769952i \(-0.279720\pi\)
\(578\) −17.4253 8.85328i −0.724795 0.368248i
\(579\) 23.2193 7.04351i 0.964963 0.292718i
\(580\) −1.73877 + 0.421691i −0.0721983 + 0.0175098i
\(581\) 0.353459 0.0348127i 0.0146640 0.00144427i
\(582\) 7.18343 + 1.27424i 0.297763 + 0.0528189i
\(583\) 4.23575 + 2.83024i 0.175427 + 0.117217i
\(584\) −34.6057 1.23958i −1.43199 0.0512942i
\(585\) 13.0100 + 19.4708i 0.537895 + 0.805017i
\(586\) −5.28044 + 13.5375i −0.218133 + 0.559227i
\(587\) −1.61644 3.02414i −0.0667175 0.124820i 0.846351 0.532625i \(-0.178794\pi\)
−0.913069 + 0.407805i \(0.866294\pi\)
\(588\) 2.35607 9.11506i 0.0971625 0.375899i
\(589\) −2.33369 + 23.6944i −0.0961581 + 0.976309i
\(590\) 35.0186 + 62.3611i 1.44169 + 2.56737i
\(591\) 5.13938 + 12.4076i 0.211406 + 0.510379i
\(592\) 4.82867 + 7.46693i 0.198457 + 0.306889i
\(593\) 5.35278 12.9228i 0.219812 0.530674i −0.775051 0.631898i \(-0.782276\pi\)
0.994864 + 0.101224i \(0.0322760\pi\)
\(594\) −1.24879 + 0.149267i −0.0512387 + 0.00612452i
\(595\) 22.5765 + 27.5095i 0.925546 + 1.12778i
\(596\) 22.0121 7.69015i 0.901652 0.315001i
\(597\) −4.13501 + 13.6313i −0.169235 + 0.557892i
\(598\) 1.09512 + 52.6677i 0.0447827 + 2.15374i
\(599\) −12.0998 2.40680i −0.494384 0.0983391i −0.0583996 0.998293i \(-0.518600\pi\)
−0.435984 + 0.899954i \(0.643600\pi\)
\(600\) −36.2241 4.88254i −1.47884 0.199329i
\(601\) 3.23464 + 16.2617i 0.131944 + 0.663327i 0.988977 + 0.148066i \(0.0473048\pi\)
−0.857034 + 0.515261i \(0.827695\pi\)
\(602\) −5.96375 3.80794i −0.243064 0.155200i
\(603\) −8.46514 + 10.3148i −0.344727 + 0.420051i
\(604\) −4.31610 9.30574i −0.175620 0.378645i
\(605\) −38.1174 20.3742i −1.54969 0.828327i
\(606\) 0.948208 12.2287i 0.0385183 0.496756i
\(607\) −3.71708 3.71708i −0.150871 0.150871i 0.627636 0.778507i \(-0.284023\pi\)
−0.778507 + 0.627636i \(0.784023\pi\)
\(608\) 17.3281 + 20.8675i 0.702748 + 0.846287i
\(609\) −0.226242 + 0.226242i −0.00916780 + 0.00916780i
\(610\) 24.6844 + 28.8343i 0.999444 + 1.16747i
\(611\) −2.92521 + 5.47267i −0.118341 + 0.221401i
\(612\) 7.51805 8.17077i 0.303899 0.330284i
\(613\) 0.0822214 + 0.0674773i 0.00332089 + 0.00272538i 0.636052 0.771646i \(-0.280566\pi\)
−0.632731 + 0.774371i \(0.718066\pi\)
\(614\) −4.81879 21.8422i −0.194470 0.881481i
\(615\) 21.9015 4.35647i 0.883152 0.175670i
\(616\) −2.85576 2.52004i −0.115062 0.101535i
\(617\) 4.54346 22.8415i 0.182913 0.919565i −0.774880 0.632108i \(-0.782190\pi\)
0.957793 0.287458i \(-0.0928100\pi\)
\(618\) 10.5144 + 10.0861i 0.422953 + 0.405722i
\(619\) −18.5427 5.62488i −0.745296 0.226083i −0.105278 0.994443i \(-0.533573\pi\)
−0.640018 + 0.768360i \(0.721073\pi\)
\(620\) −41.9760 2.37816i −1.68580 0.0955093i
\(621\) −5.20568 + 4.27219i −0.208897 + 0.171437i
\(622\) 18.4268 + 14.4921i 0.738848 + 0.581079i
\(623\) −14.3490 5.94357i −0.574882 0.238124i
\(624\) 21.9839 + 2.49903i 0.880059 + 0.100041i
\(625\) 71.4973 29.6152i 2.85989 1.18461i
\(626\) 30.4007 + 8.53600i 1.21506 + 0.341167i
\(627\) −4.24365 0.417963i −0.169475 0.0166919i
\(628\) 0.980271 + 6.96850i 0.0391171 + 0.278073i
\(629\) 10.8843 5.81777i 0.433985 0.231970i
\(630\) −8.30150 + 3.64258i −0.330740 + 0.145124i
\(631\) −11.8785 + 7.93696i −0.472876 + 0.315965i −0.769073 0.639161i \(-0.779282\pi\)
0.296197 + 0.955127i \(0.404282\pi\)
\(632\) −14.0838 3.32965i −0.560223 0.132446i
\(633\) 12.2640 18.3544i 0.487451 0.729522i
\(634\) 2.53265 1.76951i 0.100585 0.0702763i
\(635\) 1.83810 + 18.6626i 0.0729428 + 0.740601i
\(636\) 1.76607 11.3197i 0.0700293 0.448856i
\(637\) −7.55839 24.9167i −0.299474 0.987235i
\(638\) −0.0824160 0.252657i −0.00326288 0.0100028i
\(639\) −0.0587387 −0.00232367
\(640\) −35.5451 + 32.1042i −1.40504 + 1.26903i
\(641\) 6.10324 0.241063 0.120532 0.992709i \(-0.461540\pi\)
0.120532 + 0.992709i \(0.461540\pi\)
\(642\) 2.44024 + 7.48088i 0.0963086 + 0.295247i
\(643\) −3.61594 11.9202i −0.142599 0.470085i 0.856327 0.516435i \(-0.172741\pi\)
−0.998925 + 0.0463498i \(0.985241\pi\)
\(644\) −20.1498 3.14372i −0.794015 0.123880i
\(645\) −1.37118 13.9218i −0.0539902 0.548172i
\(646\) 30.8597 21.5610i 1.21416 0.848307i
\(647\) −3.19542 + 4.78228i −0.125625 + 0.188011i −0.888951 0.458003i \(-0.848565\pi\)
0.763326 + 0.646014i \(0.223565\pi\)
\(648\) 1.48620 + 2.40650i 0.0583833 + 0.0945361i
\(649\) −8.83313 + 5.90211i −0.346731 + 0.231678i
\(650\) −92.5708 + 40.6187i −3.63092 + 1.59320i
\(651\) −6.63076 + 3.54422i −0.259880 + 0.138909i
\(652\) −31.9610 + 4.49601i −1.25169 + 0.176077i
\(653\) 3.08450 + 0.303797i 0.120706 + 0.0118885i 0.158190 0.987409i \(-0.449434\pi\)
−0.0374838 + 0.999297i \(0.511934\pi\)
\(654\) 17.1363 + 4.81158i 0.670082 + 0.188148i
\(655\) −2.07975 + 0.861461i −0.0812626 + 0.0336601i
\(656\) 10.2241 18.4559i 0.399183 0.720582i
\(657\) −11.3109 4.68512i −0.441279 0.182784i
\(658\) −1.88827 1.48506i −0.0736126 0.0578937i
\(659\) 4.56140 3.74344i 0.177687 0.145824i −0.541346 0.840800i \(-0.682085\pi\)
0.719033 + 0.694976i \(0.244585\pi\)
\(660\) 0.425928 7.51788i 0.0165792 0.292633i
\(661\) 17.9604 + 5.44822i 0.698578 + 0.211911i 0.619545 0.784961i \(-0.287317\pi\)
0.0790322 + 0.996872i \(0.474817\pi\)
\(662\) 9.83097 + 9.43046i 0.382091 + 0.366525i
\(663\) 5.99085 30.1180i 0.232665 1.16969i
\(664\) 0.662160 0.0413525i 0.0256968 0.00160479i
\(665\) −30.1461 + 5.99643i −1.16901 + 0.232531i
\(666\) 0.677306 + 3.07004i 0.0262451 + 0.118962i
\(667\) −1.10000 0.902749i −0.0425923 0.0349546i
\(668\) −29.8102 27.4288i −1.15339 1.06125i
\(669\) 12.5706 23.5179i 0.486008 0.909256i
\(670\) −51.9549 60.6893i −2.00719 2.34463i
\(671\) −3.98670 + 3.98670i −0.153905 + 0.153905i
\(672\) −2.43902 + 8.21079i −0.0940874 + 0.316738i
\(673\) 11.0380 + 11.0380i 0.425485 + 0.425485i 0.887087 0.461602i \(-0.152725\pi\)
−0.461602 + 0.887087i \(0.652725\pi\)
\(674\) −0.276295 + 3.56328i −0.0106425 + 0.137252i
\(675\) −11.3970 6.09184i −0.438672 0.234475i
\(676\) 31.9252 14.8072i 1.22789 0.569508i
\(677\) 17.8898 21.7987i 0.687560 0.837794i −0.305890 0.952067i \(-0.598954\pi\)
0.993449 + 0.114273i \(0.0364539\pi\)
\(678\) −16.3599 10.4460i −0.628297 0.401177i
\(679\) 1.52388 + 7.66109i 0.0584813 + 0.294005i
\(680\) 40.3059 + 52.8641i 1.54566 + 2.02724i
\(681\) −20.1460 4.00729i −0.771997 0.153560i
\(682\) −0.129824 6.24366i −0.00497123 0.239082i
\(683\) 5.85725 19.3088i 0.224122 0.738830i −0.770700 0.637198i \(-0.780094\pi\)
0.994822 0.101632i \(-0.0324065\pi\)
\(684\) 3.16283 + 9.05322i 0.120934 + 0.346159i
\(685\) −39.3372 47.9325i −1.50300 1.83141i
\(686\) 24.8922 2.97535i 0.950390 0.113599i
\(687\) 7.21377 17.4156i 0.275223 0.664446i
\(688\) −10.8784 7.50740i −0.414736 0.286217i
\(689\) −12.1255 29.2735i −0.461944 1.11523i
\(690\) −19.7414 35.1555i −0.751543 1.33835i
\(691\) −1.56642 + 15.9042i −0.0595896 + 0.605023i 0.918298 + 0.395891i \(0.129564\pi\)
−0.977887 + 0.209133i \(0.932936\pi\)
\(692\) −13.9758 3.61249i −0.531282 0.137326i
\(693\) −0.634768 1.18757i −0.0241129 0.0451120i
\(694\) −4.83018 + 12.3831i −0.183351 + 0.470058i
\(695\) 49.1125 + 73.5021i 1.86294 + 2.78809i
\(696\) −0.437474 + 0.407217i −0.0165824 + 0.0154355i
\(697\) −24.3479 16.2688i −0.922243 0.616223i
\(698\) 25.2809 + 4.48447i 0.956895 + 0.169740i
\(699\) −2.95081 + 0.290630i −0.111610 + 0.0109926i
\(700\) −9.22374 38.0324i −0.348625 1.43749i
\(701\) −32.2730 + 9.78991i −1.21894 + 0.369760i −0.833263 0.552876i \(-0.813530\pi\)
−0.385672 + 0.922636i \(0.626030\pi\)
\(702\) 6.97402 + 3.54330i 0.263217 + 0.133733i
\(703\) 10.6593i 0.402023i
\(704\) −5.16259 4.89534i −0.194572 0.184500i
\(705\) 4.74944i 0.178874i
\(706\) −5.23750 + 10.3086i −0.197116 + 0.387969i
\(707\) 12.5668 3.81209i 0.472622 0.143368i
\(708\) 20.3996 + 12.4361i 0.766662 + 0.467379i
\(709\) −15.8142 + 1.55756i −0.593915 + 0.0584956i −0.390509 0.920599i \(-0.627701\pi\)
−0.203406 + 0.979094i \(0.565201\pi\)
\(710\) 0.0614236 0.346271i 0.00230519 0.0129953i
\(711\) −4.25433 2.84265i −0.159550 0.106608i
\(712\) −26.3892 12.0549i −0.988975 0.451775i
\(713\) −18.5777 27.8035i −0.695741 1.04125i
\(714\) 11.0753 + 4.32003i 0.414481 + 0.161673i
\(715\) −9.81703 18.3664i −0.367136 0.686863i
\(716\) 14.2613 + 24.2038i 0.532971 + 0.904539i
\(717\) 2.21297 22.4686i 0.0826447 0.839106i
\(718\) 4.01099 2.25235i 0.149689 0.0840571i
\(719\) 12.7340 + 30.7426i 0.474898 + 1.14651i 0.961973 + 0.273146i \(0.0880641\pi\)
−0.487074 + 0.873361i \(0.661936\pi\)
\(720\) −15.7407 + 6.24481i −0.586621 + 0.232730i
\(721\) −5.96973 + 14.4122i −0.222324 + 0.536738i
\(722\) 0.669883 + 5.60435i 0.0249305 + 0.208572i
\(723\) 7.28439 + 8.87605i 0.270909 + 0.330104i
\(724\) −9.96508 4.80501i −0.370349 0.178577i
\(725\) 0.792689 2.61315i 0.0294397 0.0970498i
\(726\) −14.4347 + 0.300141i −0.535724 + 0.0111393i
\(727\) −10.5992 2.10831i −0.393101 0.0781927i −0.00541803 0.999985i \(-0.501725\pi\)
−0.387683 + 0.921793i \(0.626725\pi\)
\(728\) 6.06069 + 22.9007i 0.224624 + 0.848757i
\(729\) 0.195090 + 0.980785i 0.00722557 + 0.0363254i
\(730\) 39.4472 61.7796i 1.46001 2.28657i
\(731\) −11.6377 + 14.1806i −0.430436 + 0.524488i
\(732\) 11.9059 + 4.36110i 0.440055 + 0.161191i
\(733\) 14.8510 + 7.93805i 0.548536 + 0.293198i 0.722290 0.691591i \(-0.243090\pi\)
−0.173754 + 0.984789i \(0.555590\pi\)
\(734\) −29.1550 2.26067i −1.07613 0.0834429i
\(735\) 14.0917 + 14.0917i 0.519780 + 0.519780i
\(736\) −37.4052 7.21605i −1.37877 0.265987i
\(737\) 8.39106 8.39106i 0.309089 0.309089i
\(738\) 5.66664 4.85110i 0.208592 0.178572i
\(739\) −7.69375 + 14.3940i −0.283019 + 0.529491i −0.982756 0.184910i \(-0.940801\pi\)
0.699736 + 0.714401i \(0.253301\pi\)
\(740\) −18.8065 + 0.782425i −0.691341 + 0.0287625i
\(741\) 20.5020 + 16.8256i 0.753161 + 0.618103i
\(742\) 11.9783 2.64262i 0.439737 0.0970138i
\(743\) −48.8564 + 9.71814i −1.79237 + 0.356524i −0.975448 0.220229i \(-0.929320\pi\)
−0.816919 + 0.576753i \(0.804320\pi\)
\(744\) −12.6152 + 6.17290i −0.462496 + 0.226310i
\(745\) −9.62895 + 48.4080i −0.352778 + 1.77353i
\(746\) 9.68430 10.0956i 0.354567 0.369625i
\(747\) 0.224465 + 0.0680907i 0.00821274 + 0.00249131i
\(748\) −7.36597 + 6.57608i −0.269327 + 0.240445i
\(749\) −6.51257 + 5.34472i −0.237964 + 0.195292i
\(750\) 29.3243 37.2861i 1.07077 1.36150i
\(751\) 18.6066 + 7.70711i 0.678965 + 0.281236i 0.695394 0.718629i \(-0.255230\pi\)
−0.0164292 + 0.999865i \(0.505230\pi\)
\(752\) −3.42570 2.89856i −0.124922 0.105700i
\(753\) 5.65630 2.34291i 0.206127 0.0853806i
\(754\) −0.446844 + 1.59142i −0.0162731 + 0.0579562i
\(755\) 21.6092 + 2.12832i 0.786440 + 0.0774576i
\(756\) −1.82218 + 2.41876i −0.0662720 + 0.0879694i
\(757\) −30.2670 + 16.1780i −1.10007 + 0.588000i −0.918517 0.395381i \(-0.870613\pi\)
−0.181554 + 0.983381i \(0.558113\pi\)
\(758\) 5.09110 + 11.6027i 0.184917 + 0.421429i
\(759\) 4.97960 3.32726i 0.180748 0.120772i
\(760\) −56.6772 + 9.17822i −2.05590 + 0.332929i
\(761\) 10.9537 16.3934i 0.397073 0.594262i −0.578030 0.816016i \(-0.696178\pi\)
0.975103 + 0.221754i \(0.0711782\pi\)
\(762\) 3.58783 + 5.13516i 0.129973 + 0.186027i
\(763\) 1.86790 + 18.9651i 0.0676227 + 0.686584i
\(764\) 3.34120 + 4.57650i 0.120880 + 0.165572i
\(765\) 6.82260 + 22.4911i 0.246672 + 0.813167i
\(766\) 29.6169 9.66093i 1.07010 0.349064i
\(767\) 66.0760 2.38587
\(768\) −5.10218 + 15.1647i −0.184109 + 0.547209i
\(769\) −34.0327 −1.22725 −0.613624 0.789598i \(-0.710289\pi\)
−0.613624 + 0.789598i \(0.710289\pi\)
\(770\) 7.66464 2.50018i 0.276214 0.0901003i
\(771\) −7.19797 23.7285i −0.259228 0.854562i
\(772\) 28.6148 + 39.1942i 1.02987 + 1.41063i
\(773\) 5.30473 + 53.8598i 0.190798 + 1.93720i 0.323880 + 0.946098i \(0.395013\pi\)