Properties

Label 171.2.x.a.110.8
Level $171$
Weight $2$
Character 171.110
Analytic conductor $1.365$
Analytic rank $0$
Dimension $108$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 171 = 3^{2} \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 171.x (of order \(18\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.36544187456\)
Analytic rank: \(0\)
Dimension: \(108\)
Relative dimension: \(18\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 110.8
Character \(\chi\) \(=\) 171.110
Dual form 171.2.x.a.14.8

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.507087 + 0.425497i) q^{2} +(-1.51869 + 0.832819i) q^{3} +(-0.271206 + 1.53809i) q^{4} +(-0.735283 + 2.02017i) q^{5} +(0.415745 - 1.06851i) q^{6} +(-2.31844 - 4.01566i) q^{7} +(-1.17888 - 2.04188i) q^{8} +(1.61282 - 2.52958i) q^{9} +O(q^{10})\) \(q+(-0.507087 + 0.425497i) q^{2} +(-1.51869 + 0.832819i) q^{3} +(-0.271206 + 1.53809i) q^{4} +(-0.735283 + 2.02017i) q^{5} +(0.415745 - 1.06851i) q^{6} +(-2.31844 - 4.01566i) q^{7} +(-1.17888 - 2.04188i) q^{8} +(1.61282 - 2.52958i) q^{9} +(-0.486725 - 1.33727i) q^{10} +2.38956i q^{11} +(-0.869071 - 2.56174i) q^{12} +(-0.598676 - 1.64485i) q^{13} +(2.88431 + 1.04980i) q^{14} +(-0.565774 - 3.68037i) q^{15} +(-1.46864 - 0.534541i) q^{16} +(-1.52972 + 4.20288i) q^{17} +(0.258487 + 1.96897i) q^{18} +(-3.09784 + 3.06650i) q^{19} +(-2.90779 - 1.67881i) q^{20} +(6.86531 + 4.16769i) q^{21} +(-1.01675 - 1.21171i) q^{22} +(-5.67725 - 1.00105i) q^{23} +(3.49087 + 2.11919i) q^{24} +(0.289762 + 0.243139i) q^{25} +(1.00346 + 0.579348i) q^{26} +(-0.342690 + 5.18484i) q^{27} +(6.80521 - 2.47690i) q^{28} +(-1.13791 + 6.45339i) q^{29} +(1.85288 + 1.62553i) q^{30} -3.03673i q^{31} +(5.40332 - 1.96665i) q^{32} +(-1.99007 - 3.62899i) q^{33} +(-1.01261 - 2.78212i) q^{34} +(9.81705 - 1.73101i) q^{35} +(3.45331 + 3.16670i) q^{36} -6.49789i q^{37} +(0.266090 - 2.87310i) q^{38} +(2.27906 + 1.99942i) q^{39} +(4.99177 - 0.880184i) q^{40} +(-0.680776 + 0.571239i) q^{41} +(-5.25465 + 0.807785i) q^{42} +(1.88021 + 10.6632i) q^{43} +(-3.67535 - 0.648063i) q^{44} +(3.92432 + 5.11815i) q^{45} +(3.30481 - 1.90803i) q^{46} +(-8.21764 - 1.44899i) q^{47} +(2.67558 - 0.411311i) q^{48} +(-7.25036 + 12.5580i) q^{49} -0.250389 q^{50} +(-1.17707 - 7.65685i) q^{51} +(2.69229 - 0.474723i) q^{52} +(5.26690 + 4.41945i) q^{53} +(-2.03236 - 2.77498i) q^{54} +(-4.82732 - 1.75700i) q^{55} +(-5.46634 + 9.46798i) q^{56} +(2.15081 - 7.23699i) q^{57} +(-2.16888 - 3.75661i) q^{58} +(-1.08610 - 6.15958i) q^{59} +(5.81417 + 0.127930i) q^{60} +(-1.43609 + 0.522694i) q^{61} +(1.29212 + 1.53989i) q^{62} +(-13.8972 - 0.611858i) q^{63} +(-0.340260 + 0.589347i) q^{64} +3.76308 q^{65} +(2.55326 + 0.993448i) q^{66} +(1.95757 - 2.33294i) q^{67} +(-6.04953 - 3.49270i) q^{68} +(9.45566 - 3.20784i) q^{69} +(-4.24156 + 5.05490i) q^{70} +(7.57102 - 6.35284i) q^{71} +(-7.06645 - 0.311118i) q^{72} +(1.89766 + 10.7622i) q^{73} +(2.76483 + 3.29500i) q^{74} +(-0.642548 - 0.127933i) q^{75} +(-3.87639 - 5.59640i) q^{76} +(9.59565 - 5.54005i) q^{77} +(-2.00643 - 0.0441477i) q^{78} +(-0.738381 + 2.02868i) q^{79} +(2.15973 - 2.57387i) q^{80} +(-3.79760 - 8.15955i) q^{81} +(0.102153 - 0.579336i) q^{82} +(-1.85382 + 1.07030i) q^{83} +(-8.27219 + 9.42914i) q^{84} +(-7.36577 - 6.18062i) q^{85} +(-5.49060 - 4.60716i) q^{86} +(-3.64638 - 10.7484i) q^{87} +(4.87920 - 2.81701i) q^{88} +(-2.28391 + 12.9527i) q^{89} +(-4.16773 - 0.925563i) q^{90} +(-5.21716 + 6.21757i) q^{91} +(3.07941 - 8.46061i) q^{92} +(2.52904 + 4.61184i) q^{93} +(4.78361 - 2.76182i) q^{94} +(-3.91707 - 8.51291i) q^{95} +(-6.56809 + 7.48671i) q^{96} +(-1.18507 - 1.41231i) q^{97} +(-1.66682 - 9.45300i) q^{98} +(6.04459 + 3.85394i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 108 q - 9 q^{2} - 3 q^{4} - 9 q^{5} + 3 q^{7} - 24 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 108 q - 9 q^{2} - 3 q^{4} - 9 q^{5} + 3 q^{7} - 24 q^{9} - 12 q^{10} - 9 q^{12} - 6 q^{13} - 9 q^{14} - 36 q^{15} - 9 q^{16} + 27 q^{17} + 36 q^{18} - 15 q^{19} - 18 q^{20} + 3 q^{21} + 30 q^{22} - 45 q^{23} - 21 q^{24} - 3 q^{25} - 72 q^{26} - 36 q^{28} - 9 q^{29} - 21 q^{30} - 9 q^{32} - 6 q^{33} + 33 q^{34} + 45 q^{35} + 18 q^{36} - 9 q^{38} - 18 q^{39} + 15 q^{40} - 9 q^{41} + 15 q^{42} + 9 q^{43} - 63 q^{44} + 33 q^{45} - 18 q^{46} - 9 q^{47} + 3 q^{48} - 15 q^{49} + 126 q^{50} + 39 q^{51} - 39 q^{52} - 51 q^{54} + 3 q^{55} + 63 q^{56} - 78 q^{57} - 6 q^{58} + 36 q^{59} - 75 q^{60} - 24 q^{61} + 18 q^{62} - 9 q^{63} - 18 q^{65} + 159 q^{66} - 63 q^{67} + 54 q^{68} - 9 q^{69} + 39 q^{70} + 141 q^{72} - 45 q^{73} - 117 q^{74} - 3 q^{76} - 18 q^{77} + 27 q^{78} + 3 q^{79} + 126 q^{80} - 60 q^{81} - 3 q^{82} + 27 q^{83} - 117 q^{84} - 3 q^{85} - 171 q^{86} + 15 q^{87} - 9 q^{88} + 54 q^{89} - 21 q^{90} - 9 q^{91} - 27 q^{92} + 42 q^{93} + 99 q^{95} + 207 q^{96} - 57 q^{97} - 27 q^{98} + 39 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/171\mathbb{Z}\right)^\times\).

\(n\) \(20\) \(154\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(e\left(\frac{11}{18}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.507087 + 0.425497i −0.358565 + 0.300872i −0.804218 0.594334i \(-0.797416\pi\)
0.445653 + 0.895206i \(0.352971\pi\)
\(3\) −1.51869 + 0.832819i −0.876815 + 0.480828i
\(4\) −0.271206 + 1.53809i −0.135603 + 0.769044i
\(5\) −0.735283 + 2.02017i −0.328829 + 0.903449i 0.659580 + 0.751634i \(0.270734\pi\)
−0.988409 + 0.151815i \(0.951488\pi\)
\(6\) 0.415745 1.06851i 0.169727 0.436217i
\(7\) −2.31844 4.01566i −0.876289 1.51778i −0.855383 0.517996i \(-0.826678\pi\)
−0.0209060 0.999781i \(-0.506655\pi\)
\(8\) −1.17888 2.04188i −0.416798 0.721915i
\(9\) 1.61282 2.52958i 0.537608 0.843195i
\(10\) −0.486725 1.33727i −0.153916 0.422880i
\(11\) 2.38956i 0.720479i 0.932860 + 0.360239i \(0.117305\pi\)
−0.932860 + 0.360239i \(0.882695\pi\)
\(12\) −0.869071 2.56174i −0.250879 0.739511i
\(13\) −0.598676 1.64485i −0.166043 0.456199i 0.828567 0.559890i \(-0.189157\pi\)
−0.994610 + 0.103691i \(0.966935\pi\)
\(14\) 2.88431 + 1.04980i 0.770863 + 0.280571i
\(15\) −0.565774 3.68037i −0.146082 0.950268i
\(16\) −1.46864 0.534541i −0.367160 0.133635i
\(17\) −1.52972 + 4.20288i −0.371013 + 1.01935i 0.603958 + 0.797016i \(0.293589\pi\)
−0.974971 + 0.222333i \(0.928633\pi\)
\(18\) 0.258487 + 1.96897i 0.0609261 + 0.464091i
\(19\) −3.09784 + 3.06650i −0.710693 + 0.703503i
\(20\) −2.90779 1.67881i −0.650202 0.375394i
\(21\) 6.86531 + 4.16769i 1.49813 + 0.909465i
\(22\) −1.01675 1.21171i −0.216772 0.258338i
\(23\) −5.67725 1.00105i −1.18379 0.208734i −0.453109 0.891455i \(-0.649685\pi\)
−0.730679 + 0.682721i \(0.760796\pi\)
\(24\) 3.49087 + 2.11919i 0.712571 + 0.432577i
\(25\) 0.289762 + 0.243139i 0.0579523 + 0.0486278i
\(26\) 1.00346 + 0.579348i 0.196795 + 0.113619i
\(27\) −0.342690 + 5.18484i −0.0659506 + 0.997823i
\(28\) 6.80521 2.47690i 1.28606 0.468089i
\(29\) −1.13791 + 6.45339i −0.211304 + 1.19836i 0.675902 + 0.736991i \(0.263754\pi\)
−0.887206 + 0.461373i \(0.847357\pi\)
\(30\) 1.85288 + 1.62553i 0.338289 + 0.296781i
\(31\) 3.03673i 0.545412i −0.962097 0.272706i \(-0.912081\pi\)
0.962097 0.272706i \(-0.0879186\pi\)
\(32\) 5.40332 1.96665i 0.955181 0.347658i
\(33\) −1.99007 3.62899i −0.346427 0.631726i
\(34\) −1.01261 2.78212i −0.173661 0.477130i
\(35\) 9.81705 1.73101i 1.65938 0.292594i
\(36\) 3.45331 + 3.16670i 0.575552 + 0.527784i
\(37\) 6.49789i 1.06825i −0.845407 0.534123i \(-0.820642\pi\)
0.845407 0.534123i \(-0.179358\pi\)
\(38\) 0.266090 2.87310i 0.0431654 0.466079i
\(39\) 2.27906 + 1.99942i 0.364942 + 0.320164i
\(40\) 4.99177 0.880184i 0.789268 0.139169i
\(41\) −0.680776 + 0.571239i −0.106319 + 0.0892125i −0.694398 0.719591i \(-0.744329\pi\)
0.588078 + 0.808804i \(0.299885\pi\)
\(42\) −5.25465 + 0.807785i −0.810811 + 0.124644i
\(43\) 1.88021 + 10.6632i 0.286730 + 1.62612i 0.699041 + 0.715082i \(0.253610\pi\)
−0.412311 + 0.911043i \(0.635278\pi\)
\(44\) −3.67535 0.648063i −0.554080 0.0976992i
\(45\) 3.92432 + 5.11815i 0.585003 + 0.762968i
\(46\) 3.30481 1.90803i 0.487267 0.281324i
\(47\) −8.21764 1.44899i −1.19867 0.211357i −0.461545 0.887117i \(-0.652705\pi\)
−0.737122 + 0.675760i \(0.763816\pi\)
\(48\) 2.67558 0.411311i 0.386187 0.0593676i
\(49\) −7.25036 + 12.5580i −1.03577 + 1.79400i
\(50\) −0.250389 −0.0354104
\(51\) −1.17707 7.65685i −0.164823 1.07217i
\(52\) 2.69229 0.474723i 0.373353 0.0658322i
\(53\) 5.26690 + 4.41945i 0.723464 + 0.607059i 0.928341 0.371729i \(-0.121235\pi\)
−0.204877 + 0.978788i \(0.565679\pi\)
\(54\) −2.03236 2.77498i −0.276569 0.377627i
\(55\) −4.82732 1.75700i −0.650916 0.236914i
\(56\) −5.46634 + 9.46798i −0.730470 + 1.26521i
\(57\) 2.15081 7.23699i 0.284882 0.958563i
\(58\) −2.16888 3.75661i −0.284788 0.493267i
\(59\) −1.08610 6.15958i −0.141398 0.801909i −0.970189 0.242350i \(-0.922082\pi\)
0.828791 0.559559i \(-0.189029\pi\)
\(60\) 5.81417 + 0.127930i 0.750606 + 0.0165156i
\(61\) −1.43609 + 0.522694i −0.183873 + 0.0669241i −0.432316 0.901722i \(-0.642303\pi\)
0.248443 + 0.968647i \(0.420081\pi\)
\(62\) 1.29212 + 1.53989i 0.164099 + 0.195566i
\(63\) −13.8972 0.611858i −1.75088 0.0770869i
\(64\) −0.340260 + 0.589347i −0.0425324 + 0.0736683i
\(65\) 3.76308 0.466752
\(66\) 2.55326 + 0.993448i 0.314285 + 0.122285i
\(67\) 1.95757 2.33294i 0.239155 0.285014i −0.633095 0.774074i \(-0.718216\pi\)
0.872250 + 0.489060i \(0.162660\pi\)
\(68\) −6.04953 3.49270i −0.733613 0.423552i
\(69\) 9.45566 3.20784i 1.13833 0.386178i
\(70\) −4.24156 + 5.05490i −0.506964 + 0.604176i
\(71\) 7.57102 6.35284i 0.898515 0.753943i −0.0713849 0.997449i \(-0.522742\pi\)
0.969899 + 0.243506i \(0.0782974\pi\)
\(72\) −7.06645 0.311118i −0.832789 0.0366655i
\(73\) 1.89766 + 10.7622i 0.222104 + 1.25962i 0.868144 + 0.496312i \(0.165313\pi\)
−0.646040 + 0.763303i \(0.723576\pi\)
\(74\) 2.76483 + 3.29500i 0.321405 + 0.383036i
\(75\) −0.642548 0.127933i −0.0741951 0.0147724i
\(76\) −3.87639 5.59640i −0.444652 0.641951i
\(77\) 9.59565 5.54005i 1.09353 0.631348i
\(78\) −2.00643 0.0441477i −0.227184 0.00499874i
\(79\) −0.738381 + 2.02868i −0.0830743 + 0.228245i −0.974274 0.225366i \(-0.927642\pi\)
0.891200 + 0.453611i \(0.149864\pi\)
\(80\) 2.15973 2.57387i 0.241465 0.287767i
\(81\) −3.79760 8.15955i −0.421955 0.906617i
\(82\) 0.102153 0.579336i 0.0112809 0.0639770i
\(83\) −1.85382 + 1.07030i −0.203483 + 0.117481i −0.598279 0.801288i \(-0.704149\pi\)
0.394796 + 0.918769i \(0.370815\pi\)
\(84\) −8.27219 + 9.42914i −0.902570 + 1.02880i
\(85\) −7.36577 6.18062i −0.798930 0.670382i
\(86\) −5.49060 4.60716i −0.592066 0.496802i
\(87\) −3.64638 10.7484i −0.390933 1.15234i
\(88\) 4.87920 2.81701i 0.520124 0.300294i
\(89\) −2.28391 + 12.9527i −0.242094 + 1.37298i 0.585052 + 0.810996i \(0.301074\pi\)
−0.827146 + 0.561987i \(0.810037\pi\)
\(90\) −4.16773 0.925563i −0.439317 0.0975629i
\(91\) −5.21716 + 6.21757i −0.546907 + 0.651779i
\(92\) 3.07941 8.46061i 0.321051 0.882080i
\(93\) 2.52904 + 4.61184i 0.262250 + 0.478225i
\(94\) 4.78361 2.76182i 0.493391 0.284860i
\(95\) −3.91707 8.51291i −0.401883 0.873406i
\(96\) −6.56809 + 7.48671i −0.670353 + 0.764109i
\(97\) −1.18507 1.41231i −0.120326 0.143399i 0.702519 0.711665i \(-0.252059\pi\)
−0.822845 + 0.568267i \(0.807614\pi\)
\(98\) −1.66682 9.45300i −0.168374 0.954897i
\(99\) 6.04459 + 3.85394i 0.607504 + 0.387335i
\(100\) −0.452554 + 0.379738i −0.0452554 + 0.0379738i
\(101\) −2.17273 + 2.58936i −0.216195 + 0.257651i −0.863232 0.504807i \(-0.831564\pi\)
0.647037 + 0.762459i \(0.276008\pi\)
\(102\) 3.85484 + 3.38185i 0.381686 + 0.334853i
\(103\) 10.1156 + 5.84023i 0.996717 + 0.575455i 0.907275 0.420537i \(-0.138158\pi\)
0.0894416 + 0.995992i \(0.471492\pi\)
\(104\) −2.65282 + 3.16151i −0.260131 + 0.310012i
\(105\) −13.4674 + 10.8047i −1.31428 + 1.05443i
\(106\) −4.55124 −0.442056
\(107\) 7.14018 12.3672i 0.690267 1.19558i −0.281483 0.959566i \(-0.590826\pi\)
0.971750 0.236012i \(-0.0758403\pi\)
\(108\) −7.88180 1.93325i −0.758426 0.186027i
\(109\) 1.53513 + 1.82950i 0.147039 + 0.175234i 0.834537 0.550952i \(-0.185735\pi\)
−0.687498 + 0.726186i \(0.741291\pi\)
\(110\) 3.19547 1.16306i 0.304676 0.110893i
\(111\) 5.41157 + 9.86827i 0.513643 + 0.936655i
\(112\) 1.25842 + 7.13687i 0.118910 + 0.674370i
\(113\) −5.39853 9.35052i −0.507851 0.879623i −0.999959 0.00908914i \(-0.997107\pi\)
0.492108 0.870534i \(-0.336227\pi\)
\(114\) 1.98867 + 4.58495i 0.186256 + 0.429420i
\(115\) 6.19668 10.7330i 0.577844 1.00085i
\(116\) −9.61727 3.50040i −0.892941 0.325004i
\(117\) −5.12635 1.13845i −0.473931 0.105250i
\(118\) 3.17163 + 2.66131i 0.291972 + 0.244994i
\(119\) 20.4239 3.60129i 1.87226 0.330130i
\(120\) −6.84791 + 5.49397i −0.625125 + 0.501528i
\(121\) 5.29002 0.480910
\(122\) 0.505819 0.876104i 0.0457947 0.0793187i
\(123\) 0.558147 1.43450i 0.0503265 0.129344i
\(124\) 4.67075 + 0.823579i 0.419446 + 0.0739596i
\(125\) −10.0133 + 5.78115i −0.895612 + 0.517082i
\(126\) 7.30744 5.60295i 0.650998 0.499150i
\(127\) −5.63883 0.994278i −0.500365 0.0882279i −0.0822312 0.996613i \(-0.526205\pi\)
−0.418134 + 0.908385i \(0.637316\pi\)
\(128\) 1.91876 + 10.8818i 0.169596 + 0.961828i
\(129\) −11.7360 14.6282i −1.03330 1.28794i
\(130\) −1.90821 + 1.60118i −0.167361 + 0.140433i
\(131\) −10.8784 + 1.91816i −0.950453 + 0.167591i −0.627319 0.778763i \(-0.715848\pi\)
−0.323134 + 0.946353i \(0.604737\pi\)
\(132\) 6.12142 2.07670i 0.532802 0.180753i
\(133\) 19.4962 + 5.33037i 1.69053 + 0.462201i
\(134\) 2.01594i 0.174151i
\(135\) −10.2223 4.50462i −0.879796 0.387696i
\(136\) 10.3852 1.83118i 0.890520 0.157023i
\(137\) −2.16285 5.94238i −0.184785 0.507692i 0.812364 0.583150i \(-0.198180\pi\)
−0.997149 + 0.0754586i \(0.975958\pi\)
\(138\) −3.42992 + 5.65001i −0.291974 + 0.480961i
\(139\) −1.05619 + 0.384421i −0.0895848 + 0.0326062i −0.386424 0.922321i \(-0.626290\pi\)
0.296839 + 0.954928i \(0.404068\pi\)
\(140\) 15.5689i 1.31581i
\(141\) 13.6868 4.64325i 1.15264 0.391032i
\(142\) −1.13606 + 6.44289i −0.0953356 + 0.540675i
\(143\) 3.93046 1.43057i 0.328682 0.119630i
\(144\) −3.72083 + 2.85293i −0.310069 + 0.237744i
\(145\) −12.2003 7.04384i −1.01318 0.584959i
\(146\) −5.54154 4.64991i −0.458621 0.384829i
\(147\) 0.552495 25.1099i 0.0455690 2.07103i
\(148\) 9.99432 + 1.76227i 0.821528 + 0.144858i
\(149\) 0.0781692 + 0.0931585i 0.00640387 + 0.00763184i 0.769237 0.638964i \(-0.220637\pi\)
−0.762833 + 0.646596i \(0.776192\pi\)
\(150\) 0.380263 0.208529i 0.0310484 0.0170263i
\(151\) 1.01236 + 0.584487i 0.0823848 + 0.0475649i 0.540626 0.841263i \(-0.318187\pi\)
−0.458242 + 0.888828i \(0.651521\pi\)
\(152\) 9.91341 + 2.71038i 0.804084 + 0.219841i
\(153\) 8.16437 + 10.6481i 0.660050 + 0.860846i
\(154\) −2.50856 + 6.89221i −0.202146 + 0.555390i
\(155\) 6.13471 + 2.23285i 0.492752 + 0.179347i
\(156\) −3.69338 + 2.96314i −0.295707 + 0.237241i
\(157\) 10.8505 + 3.94926i 0.865965 + 0.315185i 0.736532 0.676403i \(-0.236462\pi\)
0.129433 + 0.991588i \(0.458684\pi\)
\(158\) −0.488775 1.34290i −0.0388849 0.106835i
\(159\) −11.6794 2.32539i −0.926235 0.184416i
\(160\) 12.3617i 0.977277i
\(161\) 9.14249 + 25.1188i 0.720529 + 1.97964i
\(162\) 5.39758 + 2.52174i 0.424074 + 0.198127i
\(163\) 0.958209 + 1.65967i 0.0750527 + 0.129995i 0.901109 0.433592i \(-0.142754\pi\)
−0.826056 + 0.563587i \(0.809421\pi\)
\(164\) −0.693985 1.20202i −0.0541911 0.0938617i
\(165\) 8.79446 1.35195i 0.684648 0.105249i
\(166\) 0.484637 1.33153i 0.0376151 0.103347i
\(167\) −0.341005 + 1.93393i −0.0263878 + 0.149652i −0.995155 0.0983200i \(-0.968653\pi\)
0.968767 + 0.247972i \(0.0797642\pi\)
\(168\) 0.416548 18.9314i 0.0321374 1.46059i
\(169\) 7.61146 6.38677i 0.585497 0.491290i
\(170\) 6.36492 0.488167
\(171\) 2.76070 + 12.7820i 0.211116 + 0.977461i
\(172\) −16.9109 −1.28944
\(173\) −1.28779 + 1.08058i −0.0979089 + 0.0821553i −0.690428 0.723401i \(-0.742578\pi\)
0.592519 + 0.805556i \(0.298133\pi\)
\(174\) 6.42243 + 3.89883i 0.486883 + 0.295570i
\(175\) 0.304568 1.72729i 0.0230231 0.130571i
\(176\) 1.27732 3.50940i 0.0962814 0.264531i
\(177\) 6.77926 + 8.44995i 0.509561 + 0.635137i
\(178\) −4.35319 7.53995i −0.326285 0.565143i
\(179\) 5.88897 + 10.2000i 0.440163 + 0.762384i 0.997701 0.0677670i \(-0.0215874\pi\)
−0.557539 + 0.830151i \(0.688254\pi\)
\(180\) −8.93645 + 4.64787i −0.666084 + 0.346432i
\(181\) 0.509400 + 1.39957i 0.0378634 + 0.104029i 0.957184 0.289481i \(-0.0934828\pi\)
−0.919320 + 0.393510i \(0.871261\pi\)
\(182\) 5.37274i 0.398254i
\(183\) 1.74566 1.98981i 0.129043 0.147091i
\(184\) 4.64877 + 12.7724i 0.342712 + 0.941594i
\(185\) 13.1269 + 4.77779i 0.965107 + 0.351270i
\(186\) −3.24477 1.26251i −0.237918 0.0925714i
\(187\) −10.0430 3.65536i −0.734419 0.267307i
\(188\) 4.45735 12.2465i 0.325086 0.893166i
\(189\) 21.6151 10.6446i 1.57226 0.774283i
\(190\) 5.60852 + 2.65009i 0.406884 + 0.192258i
\(191\) −11.1869 6.45878i −0.809458 0.467341i 0.0373094 0.999304i \(-0.488121\pi\)
−0.846768 + 0.531963i \(0.821455\pi\)
\(192\) 0.0259286 1.17841i 0.00187123 0.0850443i
\(193\) −8.94784 10.6636i −0.644079 0.767584i 0.340929 0.940089i \(-0.389258\pi\)
−0.985009 + 0.172505i \(0.944814\pi\)
\(194\) 1.20187 + 0.211922i 0.0862892 + 0.0152151i
\(195\) −5.71494 + 3.13396i −0.409255 + 0.224428i
\(196\) −17.3489 14.5575i −1.23921 1.03982i
\(197\) −3.63791 2.10035i −0.259190 0.149644i 0.364775 0.931096i \(-0.381146\pi\)
−0.623965 + 0.781452i \(0.714479\pi\)
\(198\) −4.70497 + 0.617671i −0.334368 + 0.0438959i
\(199\) 15.7088 5.71755i 1.11357 0.405306i 0.281268 0.959629i \(-0.409245\pi\)
0.832302 + 0.554323i \(0.187023\pi\)
\(200\) 0.154866 0.878292i 0.0109507 0.0621046i
\(201\) −1.03002 + 5.17331i −0.0726519 + 0.364897i
\(202\) 2.23753i 0.157432i
\(203\) 28.5528 10.3924i 2.00401 0.729401i
\(204\) 12.0961 + 0.266152i 0.846899 + 0.0186344i
\(205\) −0.653439 1.79531i −0.0456381 0.125390i
\(206\) −7.61448 + 1.34264i −0.530526 + 0.0935460i
\(207\) −11.6886 + 12.7466i −0.812417 + 0.885947i
\(208\) 2.73571i 0.189687i
\(209\) −7.32757 7.40246i −0.506859 0.512039i
\(210\) 2.23179 11.2093i 0.154008 0.773513i
\(211\) −18.9789 + 3.34650i −1.30656 + 0.230382i −0.783223 0.621741i \(-0.786426\pi\)
−0.523341 + 0.852123i \(0.675315\pi\)
\(212\) −8.22592 + 6.90237i −0.564958 + 0.474056i
\(213\) −6.20725 + 15.9533i −0.425313 + 1.09310i
\(214\) 1.64149 + 9.30935i 0.112210 + 0.636374i
\(215\) −22.9240 4.04212i −1.56341 0.275671i
\(216\) 10.9908 5.41258i 0.747831 0.368279i
\(217\) −12.1945 + 7.04048i −0.827814 + 0.477939i
\(218\) −1.55689 0.274522i −0.105446 0.0185930i
\(219\) −11.8449 14.7639i −0.800403 0.997655i
\(220\) 4.01162 6.94833i 0.270463 0.468456i
\(221\) 7.82892 0.526630
\(222\) −6.94306 2.70147i −0.465987 0.181311i
\(223\) −25.2734 + 4.45638i −1.69243 + 0.298421i −0.935040 0.354541i \(-0.884637\pi\)
−0.757390 + 0.652962i \(0.773526\pi\)
\(224\) −20.4247 17.1383i −1.36468 1.14510i
\(225\) 1.08238 0.340836i 0.0721583 0.0227224i
\(226\) 6.71615 + 2.44448i 0.446751 + 0.162604i
\(227\) −10.9377 + 18.9447i −0.725964 + 1.25741i 0.232612 + 0.972570i \(0.425273\pi\)
−0.958576 + 0.284836i \(0.908061\pi\)
\(228\) 10.5478 + 5.27085i 0.698546 + 0.349071i
\(229\) −4.05811 7.02886i −0.268168 0.464480i 0.700221 0.713926i \(-0.253085\pi\)
−0.968389 + 0.249446i \(0.919751\pi\)
\(230\) 1.42459 + 8.07922i 0.0939344 + 0.532728i
\(231\) −9.95894 + 16.4051i −0.655250 + 1.07937i
\(232\) 14.5185 5.28431i 0.953188 0.346932i
\(233\) −1.89442 2.25768i −0.124107 0.147905i 0.700413 0.713738i \(-0.252999\pi\)
−0.824520 + 0.565833i \(0.808555\pi\)
\(234\) 3.08391 1.60395i 0.201602 0.104853i
\(235\) 8.96951 15.5356i 0.585106 1.01343i
\(236\) 9.76853 0.635877
\(237\) −0.568158 3.69587i −0.0369058 0.240073i
\(238\) −8.82438 + 10.5165i −0.572000 + 0.681683i
\(239\) 22.8250 + 13.1780i 1.47643 + 0.852417i 0.999646 0.0266041i \(-0.00846935\pi\)
0.476783 + 0.879021i \(0.341803\pi\)
\(240\) −1.13639 + 5.70757i −0.0733538 + 0.368422i
\(241\) 17.1704 20.4629i 1.10604 1.31813i 0.162562 0.986698i \(-0.448024\pi\)
0.943480 0.331430i \(-0.107531\pi\)
\(242\) −2.68250 + 2.25089i −0.172438 + 0.144692i
\(243\) 12.5628 + 9.22910i 0.805904 + 0.592047i
\(244\) −0.414472 2.35059i −0.0265339 0.150481i
\(245\) −20.0382 23.8807i −1.28020 1.52568i
\(246\) 0.327344 + 0.964905i 0.0208707 + 0.0615201i
\(247\) 6.89853 + 3.25964i 0.438943 + 0.207406i
\(248\) −6.20064 + 3.57994i −0.393741 + 0.227326i
\(249\) 1.92400 3.16935i 0.121929 0.200849i
\(250\) 2.61773 7.19216i 0.165560 0.454872i
\(251\) −4.19848 + 5.00356i −0.265006 + 0.315822i −0.882095 0.471071i \(-0.843867\pi\)
0.617089 + 0.786893i \(0.288312\pi\)
\(252\) 4.71010 21.2092i 0.296708 1.33605i
\(253\) 2.39207 13.5661i 0.150388 0.852894i
\(254\) 3.28244 1.89512i 0.205959 0.118910i
\(255\) 16.3336 + 3.25207i 1.02285 + 0.203653i
\(256\) −6.64579 5.57648i −0.415362 0.348530i
\(257\) −16.0900 13.5011i −1.00367 0.842175i −0.0161774 0.999869i \(-0.505150\pi\)
−0.987488 + 0.157694i \(0.949594\pi\)
\(258\) 12.1754 + 2.42416i 0.758009 + 0.150922i
\(259\) −26.0933 + 15.0650i −1.62136 + 0.936093i
\(260\) −1.02057 + 5.78794i −0.0632931 + 0.358953i
\(261\) 14.4892 + 13.2866i 0.896856 + 0.822421i
\(262\) 4.70015 5.60142i 0.290376 0.346057i
\(263\) −9.73271 + 26.7404i −0.600144 + 1.64888i 0.150836 + 0.988559i \(0.451803\pi\)
−0.750981 + 0.660324i \(0.770419\pi\)
\(264\) −5.06392 + 8.34164i −0.311663 + 0.513393i
\(265\) −12.8007 + 7.39050i −0.786342 + 0.453995i
\(266\) −12.1543 + 5.59260i −0.745229 + 0.342904i
\(267\) −7.31871 21.5732i −0.447898 1.32026i
\(268\) 3.05736 + 3.64362i 0.186758 + 0.222569i
\(269\) −1.38058 7.82965i −0.0841753 0.477382i −0.997531 0.0702205i \(-0.977630\pi\)
0.913356 0.407162i \(-0.133481\pi\)
\(270\) 7.10030 2.06532i 0.432111 0.125692i
\(271\) −20.0939 + 16.8608i −1.22062 + 1.02422i −0.221823 + 0.975087i \(0.571201\pi\)
−0.998792 + 0.0491306i \(0.984355\pi\)
\(272\) 4.49323 5.35482i 0.272442 0.324684i
\(273\) 2.74513 13.7875i 0.166143 0.834457i
\(274\) 3.62522 + 2.09302i 0.219007 + 0.126444i
\(275\) −0.580994 + 0.692402i −0.0350353 + 0.0417534i
\(276\) 2.36950 + 15.4136i 0.142627 + 0.927791i
\(277\) −14.0911 −0.846655 −0.423328 0.905977i \(-0.639138\pi\)
−0.423328 + 0.905977i \(0.639138\pi\)
\(278\) 0.372010 0.644341i 0.0223117 0.0386450i
\(279\) −7.68166 4.89771i −0.459889 0.293218i
\(280\) −15.1077 18.0046i −0.902855 1.07598i
\(281\) 21.3250 7.76165i 1.27214 0.463021i 0.384315 0.923202i \(-0.374438\pi\)
0.887825 + 0.460181i \(0.152215\pi\)
\(282\) −4.96471 + 8.17822i −0.295644 + 0.487006i
\(283\) 1.00240 + 5.68490i 0.0595866 + 0.337932i 0.999998 0.00210702i \(-0.000670687\pi\)
−0.940411 + 0.340039i \(0.889560\pi\)
\(284\) 7.71791 + 13.3678i 0.457974 + 0.793234i
\(285\) 13.0385 + 9.66625i 0.772335 + 0.572579i
\(286\) −1.38438 + 2.39782i −0.0818604 + 0.141786i
\(287\) 3.87224 + 1.40938i 0.228571 + 0.0831931i
\(288\) 3.73980 16.8400i 0.220370 0.992307i
\(289\) −2.30141 1.93111i −0.135377 0.113595i
\(290\) 9.18375 1.61934i 0.539288 0.0950910i
\(291\) 2.97595 + 1.15791i 0.174453 + 0.0678780i
\(292\) −17.0678 −0.998817
\(293\) −10.2700 + 17.7882i −0.599980 + 1.03920i 0.392843 + 0.919605i \(0.371491\pi\)
−0.992823 + 0.119590i \(0.961842\pi\)
\(294\) 10.4040 + 12.9680i 0.606775 + 0.756309i
\(295\) 13.2420 + 2.33492i 0.770980 + 0.135945i
\(296\) −13.2679 + 7.66025i −0.771183 + 0.445243i
\(297\) −12.3895 0.818876i −0.718910 0.0475160i
\(298\) −0.0792773 0.0139787i −0.00459241 0.000809766i
\(299\) 1.75225 + 9.93752i 0.101335 + 0.574702i
\(300\) 0.371035 0.953599i 0.0214217 0.0550561i
\(301\) 38.4607 32.2723i 2.21684 1.86015i
\(302\) −0.762053 + 0.134371i −0.0438512 + 0.00773216i
\(303\) 1.14323 5.74193i 0.0656770 0.329865i
\(304\) 6.18878 2.84766i 0.354951 0.163324i
\(305\) 3.28548i 0.188126i
\(306\) −8.67077 1.92559i −0.495675 0.110079i
\(307\) 21.7476 3.83468i 1.24120 0.218857i 0.485770 0.874087i \(-0.338539\pi\)
0.755430 + 0.655230i \(0.227428\pi\)
\(308\) 5.91868 + 16.2614i 0.337248 + 0.926582i
\(309\) −20.2262 0.445039i −1.15063 0.0253174i
\(310\) −4.06091 + 1.47805i −0.230644 + 0.0839476i
\(311\) 8.92455i 0.506065i 0.967458 + 0.253033i \(0.0814280\pi\)
−0.967458 + 0.253033i \(0.918572\pi\)
\(312\) 1.39584 7.01067i 0.0790240 0.396901i
\(313\) 1.67968 9.52592i 0.0949410 0.538437i −0.899824 0.436252i \(-0.856306\pi\)
0.994765 0.102185i \(-0.0325833\pi\)
\(314\) −7.18256 + 2.61424i −0.405335 + 0.147530i
\(315\) 11.4544 27.6249i 0.645384 1.55648i
\(316\) −2.92004 1.68589i −0.164265 0.0948385i
\(317\) −18.3747 15.4182i −1.03202 0.865971i −0.0409333 0.999162i \(-0.513033\pi\)
−0.991090 + 0.133191i \(0.957478\pi\)
\(318\) 6.91192 3.79036i 0.387601 0.212553i
\(319\) −15.4207 2.71909i −0.863396 0.152240i
\(320\) −0.940396 1.12072i −0.0525697 0.0626502i
\(321\) −0.544099 + 24.7283i −0.0303686 + 1.38020i
\(322\) −15.3240 8.84732i −0.853974 0.493042i
\(323\) −8.14929 17.7107i −0.453439 0.985452i
\(324\) 13.5800 3.62811i 0.754446 0.201562i
\(325\) 0.226453 0.622176i 0.0125614 0.0345121i
\(326\) −1.19208 0.433881i −0.0660231 0.0240304i
\(327\) −3.85502 1.49995i −0.213183 0.0829474i
\(328\) 1.96896 + 0.716642i 0.108717 + 0.0395699i
\(329\) 13.2335 + 36.3587i 0.729585 + 2.00452i
\(330\) −3.88431 + 4.42757i −0.213824 + 0.243730i
\(331\) 11.1422i 0.612432i 0.951962 + 0.306216i \(0.0990630\pi\)
−0.951962 + 0.306216i \(0.900937\pi\)
\(332\) −1.14345 3.14160i −0.0627550 0.172418i
\(333\) −16.4370 10.4800i −0.900740 0.574298i
\(334\) −0.649964 1.12577i −0.0355644 0.0615994i
\(335\) 3.27357 + 5.67000i 0.178854 + 0.309785i
\(336\) −7.85487 9.79063i −0.428518 0.534123i
\(337\) −7.20342 + 19.7912i −0.392396 + 1.07810i 0.573509 + 0.819199i \(0.305582\pi\)
−0.965904 + 0.258899i \(0.916640\pi\)
\(338\) −1.14212 + 6.47731i −0.0621234 + 0.352319i
\(339\) 15.9860 + 9.70453i 0.868239 + 0.527078i
\(340\) 11.5040 9.65298i 0.623890 0.523506i
\(341\) 7.25643 0.392958
\(342\) −6.83860 5.30691i −0.369789 0.286965i
\(343\) 34.7800 1.87794
\(344\) 19.5565 16.4098i 1.05441 0.884759i
\(345\) −0.472202 + 21.4607i −0.0254225 + 1.15541i
\(346\) 0.193237 1.09590i 0.0103885 0.0589160i
\(347\) 6.85419 18.8317i 0.367952 1.01094i −0.608187 0.793794i \(-0.708103\pi\)
0.976139 0.217147i \(-0.0696750\pi\)
\(348\) 17.5208 2.69343i 0.939215 0.144383i
\(349\) −4.73229 8.19656i −0.253314 0.438752i 0.711123 0.703068i \(-0.248187\pi\)
−0.964436 + 0.264316i \(0.914854\pi\)
\(350\) 0.580514 + 1.00548i 0.0310298 + 0.0537451i
\(351\) 8.73344 2.54037i 0.466157 0.135595i
\(352\) 4.69942 + 12.9115i 0.250480 + 0.688188i
\(353\) 24.9752i 1.32930i 0.747157 + 0.664648i \(0.231419\pi\)
−0.747157 + 0.664648i \(0.768581\pi\)
\(354\) −7.03311 1.40031i −0.373806 0.0744256i
\(355\) 7.26700 + 19.9659i 0.385692 + 1.05968i
\(356\) −19.3030 7.02571i −1.02306 0.372362i
\(357\) −28.0183 + 22.4787i −1.48289 + 1.18970i
\(358\) −7.32630 2.66655i −0.387207 0.140932i
\(359\) 7.49864 20.6023i 0.395763 1.08735i −0.568565 0.822639i \(-0.692501\pi\)
0.964328 0.264711i \(-0.0852767\pi\)
\(360\) 5.82435 14.0467i 0.306970 0.740325i
\(361\) 0.193193 18.9990i 0.0101681 0.999948i
\(362\) −0.853821 0.492954i −0.0448759 0.0259091i
\(363\) −8.03388 + 4.40563i −0.421669 + 0.231235i
\(364\) −8.14824 9.71069i −0.427084 0.508979i
\(365\) −23.1367 4.07963i −1.21103 0.213538i
\(366\) −0.0385446 + 1.75178i −0.00201476 + 0.0915672i
\(367\) 9.91105 + 8.31636i 0.517353 + 0.434110i 0.863708 0.503993i \(-0.168136\pi\)
−0.346355 + 0.938103i \(0.612581\pi\)
\(368\) 7.80273 + 4.50491i 0.406745 + 0.234835i
\(369\) 0.347025 + 2.64339i 0.0180654 + 0.137609i
\(370\) −8.68941 + 3.16269i −0.451741 + 0.164420i
\(371\) 5.53602 31.3963i 0.287416 1.63002i
\(372\) −7.77930 + 2.63913i −0.403338 + 0.136833i
\(373\) 0.717165i 0.0371334i 0.999828 + 0.0185667i \(0.00591030\pi\)
−0.999828 + 0.0185667i \(0.994090\pi\)
\(374\) 6.64804 2.41969i 0.343762 0.125119i
\(375\) 10.3923 17.1190i 0.536658 0.884021i
\(376\) 6.72896 + 18.4877i 0.347020 + 0.953428i
\(377\) 11.2961 1.99181i 0.581778 0.102583i
\(378\) −6.43147 + 14.5949i −0.330799 + 0.750681i
\(379\) 10.4245i 0.535469i 0.963493 + 0.267735i \(0.0862750\pi\)
−0.963493 + 0.267735i \(0.913725\pi\)
\(380\) 14.1559 3.71604i 0.726184 0.190629i
\(381\) 9.39167 3.18613i 0.481150 0.163230i
\(382\) 8.42095 1.48484i 0.430853 0.0759710i
\(383\) −21.3017 + 17.8742i −1.08846 + 0.913329i −0.996596 0.0824418i \(-0.973728\pi\)
−0.0918678 + 0.995771i \(0.529284\pi\)
\(384\) −11.9766 14.9281i −0.611179 0.761798i
\(385\) 4.13635 + 23.4584i 0.210808 + 1.19555i
\(386\) 9.07467 + 1.60011i 0.461889 + 0.0814434i
\(387\) 30.0059 + 12.4417i 1.52529 + 0.632449i
\(388\) 2.49366 1.43971i 0.126596 0.0730904i
\(389\) 3.18182 + 0.561040i 0.161325 + 0.0284459i 0.253727 0.967276i \(-0.418344\pi\)
−0.0924025 + 0.995722i \(0.529455\pi\)
\(390\) 1.56448 4.02088i 0.0792207 0.203605i
\(391\) 12.8919 22.3295i 0.651973 1.12925i
\(392\) 34.1893 1.72682
\(393\) 14.9235 11.9729i 0.752789 0.603951i
\(394\) 2.73843 0.482859i 0.137960 0.0243261i
\(395\) −3.55538 2.98331i −0.178890 0.150107i
\(396\) −7.56702 + 8.25189i −0.380257 + 0.414673i
\(397\) 16.5054 + 6.00749i 0.828384 + 0.301507i 0.721196 0.692732i \(-0.243593\pi\)
0.107189 + 0.994239i \(0.465815\pi\)
\(398\) −5.53295 + 9.58336i −0.277342 + 0.480370i
\(399\) −34.0478 + 8.14163i −1.70452 + 0.407591i
\(400\) −0.295588 0.511973i −0.0147794 0.0255987i
\(401\) −2.25743 12.8025i −0.112730 0.639326i −0.987849 0.155417i \(-0.950328\pi\)
0.875118 0.483909i \(-0.160783\pi\)
\(402\) −1.67892 3.06159i −0.0837367 0.152698i
\(403\) −4.99496 + 1.81802i −0.248817 + 0.0905618i
\(404\) −3.39341 4.04411i −0.168828 0.201202i
\(405\) 19.2760 1.67222i 0.957833 0.0830935i
\(406\) −10.0568 + 17.4190i −0.499113 + 0.864489i
\(407\) 15.5271 0.769649
\(408\) −14.2468 + 11.4300i −0.705320 + 0.565867i
\(409\) −5.57377 + 6.64256i −0.275605 + 0.328454i −0.886036 0.463616i \(-0.846552\pi\)
0.610431 + 0.792069i \(0.290996\pi\)
\(410\) 1.09525 + 0.632342i 0.0540905 + 0.0312292i
\(411\) 8.23362 + 7.22336i 0.406135 + 0.356302i
\(412\) −11.7262 + 13.9747i −0.577708 + 0.688485i
\(413\) −22.2167 + 18.6420i −1.09321 + 0.917315i
\(414\) 0.503546 11.4371i 0.0247480 0.562103i
\(415\) −0.799115 4.53201i −0.0392270 0.222467i
\(416\) −6.46968 7.71026i −0.317202 0.378027i
\(417\) 1.28387 1.46343i 0.0628713 0.0716645i
\(418\) 6.86544 + 0.635836i 0.335800 + 0.0310998i
\(419\) −6.32321 + 3.65070i −0.308909 + 0.178349i −0.646438 0.762966i \(-0.723742\pi\)
0.337529 + 0.941315i \(0.390409\pi\)
\(420\) −12.9661 23.6443i −0.632681 1.15373i
\(421\) 6.11976 16.8139i 0.298259 0.819459i −0.696533 0.717525i \(-0.745275\pi\)
0.994791 0.101934i \(-0.0325029\pi\)
\(422\) 8.20006 9.77245i 0.399173 0.475715i
\(423\) −16.9190 + 18.4503i −0.822628 + 0.897082i
\(424\) 2.81496 15.9644i 0.136706 0.775300i
\(425\) −1.46514 + 0.845899i −0.0710697 + 0.0410321i
\(426\) −3.64045 10.7309i −0.176380 0.519912i
\(427\) 5.42846 + 4.55502i 0.262701 + 0.220433i
\(428\) 17.0853 + 14.3363i 0.825849 + 0.692970i
\(429\) −4.77774 + 5.44596i −0.230671 + 0.262933i
\(430\) 13.3444 7.70439i 0.643524 0.371539i
\(431\) −3.24619 + 18.4101i −0.156363 + 0.886781i 0.801165 + 0.598443i \(0.204214\pi\)
−0.957529 + 0.288338i \(0.906897\pi\)
\(432\) 3.27480 7.43148i 0.157559 0.357547i
\(433\) −18.4787 + 22.0220i −0.888027 + 1.05831i 0.109899 + 0.993943i \(0.464947\pi\)
−0.997926 + 0.0643670i \(0.979497\pi\)
\(434\) 3.18796 8.75884i 0.153027 0.420438i
\(435\) 24.3947 + 0.536757i 1.16963 + 0.0257356i
\(436\) −3.23026 + 1.86499i −0.154702 + 0.0893170i
\(437\) 20.6569 14.3082i 0.988154 0.684452i
\(438\) 12.2884 + 2.44665i 0.587163 + 0.116906i
\(439\) 14.7380 + 17.5640i 0.703404 + 0.838285i 0.992907 0.118893i \(-0.0379344\pi\)
−0.289503 + 0.957177i \(0.593490\pi\)
\(440\) 2.10325 + 11.9281i 0.100268 + 0.568651i
\(441\) 20.0729 + 38.5942i 0.955854 + 1.83782i
\(442\) −3.96995 + 3.33118i −0.188831 + 0.158448i
\(443\) 6.10840 7.27971i 0.290219 0.345869i −0.601160 0.799129i \(-0.705294\pi\)
0.891379 + 0.453259i \(0.149739\pi\)
\(444\) −16.6459 + 5.64713i −0.789980 + 0.268001i
\(445\) −24.4874 14.1378i −1.16081 0.670196i
\(446\) 10.9196 13.0135i 0.517060 0.616208i
\(447\) −0.196299 0.0763778i −0.00928462 0.00361255i
\(448\) 3.15549 0.149083
\(449\) −10.4959 + 18.1795i −0.495334 + 0.857944i −0.999986 0.00537936i \(-0.998288\pi\)
0.504651 + 0.863323i \(0.331621\pi\)
\(450\) −0.403834 + 0.633381i −0.0190369 + 0.0298579i
\(451\) −1.36501 1.62675i −0.0642757 0.0766008i
\(452\) 15.8460 5.76749i 0.745335 0.271280i
\(453\) −2.02423 0.0445393i −0.0951068 0.00209264i
\(454\) −2.51453 14.2606i −0.118013 0.669284i
\(455\) −8.72448 15.1112i −0.409010 0.708426i
\(456\) −17.3126 + 4.13985i −0.810739 + 0.193866i
\(457\) −12.7482 + 22.0806i −0.596337 + 1.03289i 0.397020 + 0.917810i \(0.370044\pi\)
−0.993357 + 0.115075i \(0.963289\pi\)
\(458\) 5.04858 + 1.83753i 0.235904 + 0.0858622i
\(459\) −21.2671 9.37166i −0.992661 0.437432i
\(460\) 14.8277 + 12.4419i 0.691343 + 0.580106i
\(461\) 18.9722 3.34531i 0.883622 0.155806i 0.286618 0.958045i \(-0.407469\pi\)
0.597004 + 0.802238i \(0.296358\pi\)
\(462\) −1.93025 12.5563i −0.0898033 0.584172i
\(463\) 20.0648 0.932492 0.466246 0.884655i \(-0.345606\pi\)
0.466246 + 0.884655i \(0.345606\pi\)
\(464\) 5.12078 8.86945i 0.237726 0.411754i
\(465\) −11.1763 + 1.71810i −0.518287 + 0.0796750i
\(466\) 1.92127 + 0.338772i 0.0890011 + 0.0156933i
\(467\) 7.12743 4.11503i 0.329818 0.190421i −0.325942 0.945390i \(-0.605681\pi\)
0.655760 + 0.754969i \(0.272348\pi\)
\(468\) 3.14133 7.57601i 0.145208 0.350201i
\(469\) −13.9068 2.45214i −0.642156 0.113230i
\(470\) 2.06204 + 11.6944i 0.0951150 + 0.539424i
\(471\) −19.7676 + 3.03882i −0.910841 + 0.140021i
\(472\) −11.2968 + 9.47911i −0.519975 + 0.436311i
\(473\) −25.4804 + 4.49287i −1.17159 + 0.206583i
\(474\) 1.86069 + 1.63238i 0.0854643 + 0.0749778i
\(475\) −1.64322 + 0.135348i −0.0753961 + 0.00621021i
\(476\) 32.3905i 1.48462i
\(477\) 19.6740 6.19527i 0.900809 0.283662i
\(478\) −17.1815 + 3.02956i −0.785864 + 0.138569i
\(479\) −8.18942 22.5003i −0.374184 1.02806i −0.973727 0.227720i \(-0.926873\pi\)
0.599542 0.800343i \(-0.295349\pi\)
\(480\) −10.2951 18.7735i −0.469903 0.856891i
\(481\) −10.6881 + 3.89013i −0.487333 + 0.177375i
\(482\) 17.6824i 0.805411i
\(483\) −34.8040 30.5335i −1.58364 1.38932i
\(484\) −1.43469 + 8.13650i −0.0652130 + 0.369841i
\(485\) 3.72448 1.35560i 0.169120 0.0615546i
\(486\) −10.2974 + 0.665470i −0.467099 + 0.0301863i
\(487\) 9.49792 + 5.48363i 0.430392 + 0.248487i 0.699514 0.714619i \(-0.253400\pi\)
−0.269122 + 0.963106i \(0.586733\pi\)
\(488\) 2.76026 + 2.31613i 0.124951 + 0.104846i
\(489\) −2.83742 1.72250i −0.128313 0.0778941i
\(490\) 20.3223 + 3.58337i 0.918068 + 0.161880i
\(491\) −13.1980 15.7288i −0.595619 0.709831i 0.381056 0.924552i \(-0.375560\pi\)
−0.976676 + 0.214720i \(0.931116\pi\)
\(492\) 2.05501 + 1.24752i 0.0926469 + 0.0562427i
\(493\) −25.3822 14.6544i −1.14316 0.660001i
\(494\) −4.88512 + 1.28238i −0.219792 + 0.0576970i
\(495\) −12.2301 + 9.37738i −0.549702 + 0.421482i
\(496\) −1.62326 + 4.45986i −0.0728863 + 0.200254i
\(497\) −43.0638 15.6740i −1.93168 0.703073i
\(498\) 0.372911 + 2.42579i 0.0167105 + 0.108702i
\(499\) 7.27990 + 2.64967i 0.325893 + 0.118615i 0.499785 0.866149i \(-0.333412\pi\)
−0.173892 + 0.984765i \(0.555634\pi\)
\(500\) −6.17626 16.9691i −0.276211 0.758883i
\(501\) −1.09274 3.22104i −0.0488199 0.143905i
\(502\) 4.32368i 0.192975i
\(503\) −6.13289 16.8500i −0.273452 0.751303i −0.998067 0.0621493i \(-0.980204\pi\)
0.724615 0.689154i \(-0.242018\pi\)
\(504\) 15.1338 + 29.0978i 0.674113 + 1.29612i
\(505\) −3.63339 6.29322i −0.161684 0.280044i
\(506\) 4.55935 + 7.89702i 0.202688 + 0.351065i
\(507\) −6.24040 + 16.0385i −0.277146 + 0.712294i
\(508\) 3.05857 8.40336i 0.135702 0.372839i
\(509\) 4.74811 26.9279i 0.210456 1.19356i −0.678163 0.734911i \(-0.737224\pi\)
0.888620 0.458645i \(-0.151665\pi\)
\(510\) −9.66633 + 5.30083i −0.428032 + 0.234725i
\(511\) 38.8176 32.5718i 1.71719 1.44089i
\(512\) −16.3567 −0.722869
\(513\) −14.8377 17.1126i −0.655100 0.755542i
\(514\) 13.9037 0.613266
\(515\) −19.2361 + 16.1410i −0.847643 + 0.711257i
\(516\) 25.6823 14.0837i 1.13060 0.620000i
\(517\) 3.46245 19.6365i 0.152278 0.863614i
\(518\) 6.82149 18.7419i 0.299719 0.823472i
\(519\) 1.05582 2.71357i 0.0463453 0.119112i
\(520\) −4.43622 7.68377i −0.194541 0.336955i
\(521\) −15.8468 27.4474i −0.694259 1.20249i −0.970430 0.241383i \(-0.922399\pi\)
0.276171 0.961109i \(-0.410934\pi\)
\(522\) −13.0007 0.572387i −0.569024 0.0250527i
\(523\) −5.47720 15.0485i −0.239501 0.658024i −0.999963 0.00864100i \(-0.997249\pi\)
0.760462 0.649383i \(-0.224973\pi\)
\(524\) 17.2522i 0.753666i
\(525\) 0.975976 + 2.87686i 0.0425951 + 0.125557i
\(526\) −6.44262 17.7010i −0.280912 0.771798i
\(527\) 12.7630 + 4.64535i 0.555965 + 0.202355i
\(528\) 0.982850 + 6.39346i 0.0427731 + 0.278239i
\(529\) 9.61610 + 3.49997i 0.418091 + 0.152173i
\(530\) 3.34645 9.19430i 0.145361 0.399375i
\(531\) −17.3329 7.18694i −0.752182 0.311887i
\(532\) −13.4861 + 28.5412i −0.584695 + 1.23742i
\(533\) 1.34717 + 0.777787i 0.0583523 + 0.0336897i
\(534\) 12.8906 + 7.82540i 0.557829 + 0.338638i
\(535\) 19.7337 + 23.5178i 0.853164 + 1.01676i
\(536\) −7.07133 1.24687i −0.305435 0.0538564i
\(537\) −17.4383 10.5862i −0.752517 0.456827i
\(538\) 4.03157 + 3.38289i 0.173813 + 0.145847i
\(539\) −30.0080 17.3251i −1.29254 0.746247i
\(540\) 9.70085 14.5011i 0.417458 0.624029i
\(541\) 0.610959 0.222371i 0.0262672 0.00956047i −0.328853 0.944381i \(-0.606662\pi\)
0.355120 + 0.934821i \(0.384440\pi\)
\(542\) 3.01515 17.0998i 0.129512 0.734497i
\(543\) −1.93921 1.70126i −0.0832193 0.0730083i
\(544\) 25.7180i 1.10265i
\(545\) −4.82466 + 1.75603i −0.206666 + 0.0752202i
\(546\) 4.47452 + 8.15951i 0.191492 + 0.349195i
\(547\) 3.61501 + 9.93215i 0.154567 + 0.424668i 0.992672 0.120840i \(-0.0385589\pi\)
−0.838105 + 0.545508i \(0.816337\pi\)
\(548\) 9.72648 1.71504i 0.415494 0.0732629i
\(549\) −0.993962 + 4.47573i −0.0424213 + 0.191019i
\(550\) 0.598320i 0.0255124i
\(551\) −16.2643 23.4809i −0.692881 1.00032i
\(552\) −17.6971 15.5257i −0.753240 0.660817i
\(553\) 9.85840 1.73830i 0.419222 0.0739201i
\(554\) 7.14545 5.99574i 0.303581 0.254735i
\(555\) −23.9147 + 3.67634i −1.01512 + 0.156052i
\(556\) −0.304829 1.72877i −0.0129276 0.0733161i
\(557\) 29.6908 + 5.23529i 1.25804 + 0.221826i 0.762631 0.646834i \(-0.223907\pi\)
0.495408 + 0.868660i \(0.335018\pi\)
\(558\) 5.97923 0.784956i 0.253121 0.0332298i
\(559\) 16.4137 9.47648i 0.694227 0.400812i
\(560\) −15.3430 2.70539i −0.648360 0.114323i
\(561\) 18.2965 2.81267i 0.772478 0.118751i
\(562\) −7.51106 + 13.0095i −0.316835 + 0.548774i
\(563\) 6.69054 0.281973 0.140986 0.990012i \(-0.454973\pi\)
0.140986 + 0.990012i \(0.454973\pi\)
\(564\) 3.42977 + 22.3107i 0.144420 + 0.939452i
\(565\) 22.8591 4.03068i 0.961691 0.169572i
\(566\) −2.92721 2.45622i −0.123040 0.103243i
\(567\) −23.9615 + 34.1673i −1.00629 + 1.43489i
\(568\) −21.8971 7.96989i −0.918781 0.334409i
\(569\) −6.71887 + 11.6374i −0.281669 + 0.487866i −0.971796 0.235823i \(-0.924222\pi\)
0.690127 + 0.723689i \(0.257555\pi\)
\(570\) −10.7246 + 0.646219i −0.449205 + 0.0270671i
\(571\) 3.88533 + 6.72958i 0.162596 + 0.281624i 0.935799 0.352534i \(-0.114680\pi\)
−0.773203 + 0.634158i \(0.781347\pi\)
\(572\) 1.13438 + 6.43337i 0.0474307 + 0.268993i
\(573\) 22.3685 + 0.492175i 0.934456 + 0.0205609i
\(574\) −2.56325 + 0.932948i −0.106988 + 0.0389405i
\(575\) −1.40165 1.67043i −0.0584530 0.0696616i
\(576\) 0.942024 + 1.81123i 0.0392510 + 0.0754678i
\(577\) 10.5256 18.2309i 0.438187 0.758962i −0.559363 0.828923i \(-0.688954\pi\)
0.997550 + 0.0699611i \(0.0222875\pi\)
\(578\) 1.98870 0.0827190
\(579\) 22.4698 + 8.74277i 0.933814 + 0.363337i
\(580\) 14.1428 16.8548i 0.587249 0.699856i
\(581\) 8.59594 + 4.96287i 0.356619 + 0.205894i
\(582\) −2.00176 + 0.679097i −0.0829755 + 0.0281495i
\(583\) −10.5605 + 12.5856i −0.437373 + 0.521241i
\(584\) 19.7379 16.5621i 0.816762 0.685345i
\(585\) 6.06918 9.51902i 0.250930 0.393563i
\(586\) −2.36102 13.3900i −0.0975329 0.553136i
\(587\) 28.3103 + 33.7389i 1.16849 + 1.39255i 0.903656 + 0.428260i \(0.140873\pi\)
0.264835 + 0.964294i \(0.414682\pi\)
\(588\) 38.4714 + 7.65975i 1.58653 + 0.315883i
\(589\) 9.31211 + 9.40728i 0.383699 + 0.387620i
\(590\) −7.70836 + 4.45042i −0.317348 + 0.183221i
\(591\) 7.27406 + 0.160052i 0.299215 + 0.00658364i
\(592\) −3.47339 + 9.54306i −0.142756 + 0.392218i
\(593\) 6.69570 7.97963i 0.274960 0.327684i −0.610838 0.791755i \(-0.709167\pi\)
0.885798 + 0.464071i \(0.153612\pi\)
\(594\) 6.63098 4.85644i 0.272072 0.199262i
\(595\) −7.74214 + 43.9079i −0.317397 + 1.80005i
\(596\) −0.164486 + 0.0949660i −0.00673760 + 0.00388996i
\(597\) −19.0951 + 21.7658i −0.781511 + 0.890814i
\(598\) −5.11693 4.29362i −0.209247 0.175579i
\(599\) 15.0975 + 12.6683i 0.616869 + 0.517614i 0.896817 0.442401i \(-0.145873\pi\)
−0.279949 + 0.960015i \(0.590318\pi\)
\(600\) 0.496264 + 1.46283i 0.0202599 + 0.0597196i
\(601\) −32.1888 + 18.5842i −1.31301 + 0.758067i −0.982593 0.185769i \(-0.940522\pi\)
−0.330416 + 0.943835i \(0.607189\pi\)
\(602\) −5.77115 + 32.7298i −0.235214 + 1.33397i
\(603\) −2.74415 8.71445i −0.111751 0.354880i
\(604\) −1.17355 + 1.39858i −0.0477511 + 0.0569076i
\(605\) −3.88966 + 10.6867i −0.158137 + 0.434478i
\(606\) 1.86345 + 3.39810i 0.0756977 + 0.138039i
\(607\) −26.8448 + 15.4988i −1.08960 + 0.629078i −0.933469 0.358659i \(-0.883234\pi\)
−0.156126 + 0.987737i \(0.549901\pi\)
\(608\) −10.7079 + 22.6616i −0.434262 + 0.919050i
\(609\) −34.7078 + 39.5621i −1.40643 + 1.60314i
\(610\) 1.39796 + 1.66603i 0.0566018 + 0.0674554i
\(611\) 2.53633 + 14.3843i 0.102609 + 0.581925i
\(612\) −18.5919 + 9.66969i −0.751533 + 0.390874i
\(613\) −19.0987 + 16.0257i −0.771390 + 0.647273i −0.941065 0.338227i \(-0.890173\pi\)
0.169674 + 0.985500i \(0.445728\pi\)
\(614\) −9.39628 + 11.1980i −0.379203 + 0.451916i
\(615\) 2.48754 + 2.18232i 0.100307 + 0.0879995i
\(616\) −22.6243 13.0621i −0.911558 0.526288i
\(617\) 13.3822 15.9483i 0.538746 0.642053i −0.426160 0.904648i \(-0.640134\pi\)
0.964906 + 0.262595i \(0.0845783\pi\)
\(618\) 10.4458 8.38053i 0.420193 0.337114i
\(619\) −18.6771 −0.750695 −0.375348 0.926884i \(-0.622477\pi\)
−0.375348 + 0.926884i \(0.622477\pi\)
\(620\) −5.09810 + 8.83016i −0.204744 + 0.354628i
\(621\) 7.13583 29.0926i 0.286351 1.16744i
\(622\) −3.79737 4.52553i −0.152261 0.181457i
\(623\) 57.3088 20.8587i 2.29603 0.835686i
\(624\) −2.27835 4.15469i −0.0912070 0.166321i
\(625\) −3.98794 22.6167i −0.159518 0.904669i
\(626\) 3.20151 + 5.54517i 0.127958 + 0.221630i
\(627\) 17.2932 + 5.13948i 0.690624 + 0.205251i
\(628\) −9.01704 + 15.6180i −0.359819 + 0.623225i
\(629\) 27.3099 + 9.93998i 1.08892 + 0.396333i
\(630\) 5.94589 + 18.8820i 0.236890 + 0.752279i
\(631\) 9.23881 + 7.75228i 0.367791 + 0.308613i 0.807887 0.589337i \(-0.200611\pi\)
−0.440096 + 0.897951i \(0.645056\pi\)
\(632\) 5.01280 0.883892i 0.199398 0.0351593i
\(633\) 26.0360 20.8883i 1.03484 0.830236i
\(634\) 15.8779 0.630594
\(635\) 6.15475 10.6603i 0.244244 0.423043i
\(636\) 6.74418 17.3332i 0.267424 0.687308i
\(637\) 24.9966 + 4.40758i 0.990402 + 0.174635i
\(638\) 8.97664 5.18266i 0.355388 0.205184i
\(639\) −3.85932 29.3975i −0.152672 1.16295i
\(640\) −23.3940 4.12500i −0.924731 0.163055i
\(641\) 0.880033 + 4.99091i 0.0347592 + 0.197129i 0.997243 0.0742116i \(-0.0236440\pi\)
−0.962483 + 0.271341i \(0.912533\pi\)
\(642\) −10.2459 12.7709i −0.404374 0.504029i
\(643\) −27.9031 + 23.4135i −1.10039 + 0.923339i −0.997451 0.0713489i \(-0.977270\pi\)
−0.102941 + 0.994687i \(0.532825\pi\)
\(644\) −41.1144 + 7.24957i −1.62013 + 0.285673i
\(645\) 38.1808 12.9528i 1.50337 0.510018i
\(646\) 11.6683 + 5.51340i 0.459082 + 0.216922i
\(647\) 47.6601i 1.87371i −0.349714 0.936856i \(-0.613721\pi\)
0.349714 0.936856i \(-0.386279\pi\)
\(648\) −12.1839 + 17.3734i −0.478630 + 0.682491i
\(649\) 14.7187 2.59530i 0.577758 0.101874i
\(650\) 0.149902 + 0.411853i 0.00587965 + 0.0161542i
\(651\) 12.6561 20.8481i 0.496033 0.817100i
\(652\) −2.81258 + 1.02370i −0.110149 + 0.0400910i
\(653\) 14.6632i 0.573816i 0.957958 + 0.286908i \(0.0926274\pi\)
−0.957958 + 0.286908i \(0.907373\pi\)
\(654\) 2.59306 0.879696i 0.101397 0.0343988i
\(655\) 4.12371 23.3867i 0.161127 0.913795i
\(656\) 1.30517 0.475042i 0.0509582 0.0185473i
\(657\) 30.2844 + 12.5572i 1.18151 + 0.489902i
\(658\) −22.1810 12.8062i −0.864707 0.499239i
\(659\) 34.6987 + 29.1156i 1.35167 + 1.13418i 0.978460 + 0.206437i \(0.0661869\pi\)
0.373209 + 0.927747i \(0.378258\pi\)
\(660\) −0.305695 + 13.8933i −0.0118992 + 0.540796i
\(661\) 13.8658 + 2.44492i 0.539317 + 0.0950962i 0.436670 0.899622i \(-0.356158\pi\)
0.102647 + 0.994718i \(0.467269\pi\)
\(662\) −4.74098 5.65008i −0.184264 0.219597i
\(663\) −11.8897 + 6.52007i −0.461757 + 0.253219i
\(664\) 4.37086 + 2.52352i 0.169622 + 0.0979315i
\(665\) −25.1035 + 35.4663i −0.973471 + 1.37533i
\(666\) 12.7942 1.67962i 0.495764 0.0650841i
\(667\) 12.9204 35.4984i 0.500278 1.37450i
\(668\) −2.88208 1.04899i −0.111511 0.0405867i
\(669\) 34.6710 27.8160i 1.34046 1.07543i
\(670\) −4.07256 1.48229i −0.157337 0.0572658i
\(671\) −1.24901 3.43162i −0.0482174 0.132476i
\(672\) 45.2919 + 9.01772i 1.74717 + 0.347866i
\(673\) 38.8396i 1.49716i −0.663047 0.748578i \(-0.730737\pi\)
0.663047 0.748578i \(-0.269263\pi\)
\(674\) −4.76835 13.1009i −0.183670 0.504629i
\(675\) −1.35993 + 1.41905i −0.0523439 + 0.0546191i
\(676\) 7.75914 + 13.4392i 0.298428 + 0.516893i
\(677\) −4.30077 7.44915i −0.165292 0.286294i 0.771467 0.636269i \(-0.219523\pi\)
−0.936759 + 0.349975i \(0.886190\pi\)
\(678\) −12.2355 + 1.88094i −0.469903 + 0.0722370i
\(679\) −2.92385 + 8.03321i −0.112207 + 0.308286i
\(680\) −3.93672 + 22.3263i −0.150966 + 0.856173i
\(681\) 0.833482 37.8803i 0.0319391 1.45158i
\(682\) −3.67965 + 3.08759i −0.140901 + 0.118230i
\(683\) 35.7629 1.36843 0.684216 0.729280i \(-0.260145\pi\)
0.684216 + 0.729280i \(0.260145\pi\)
\(684\) −20.4085 + 0.779643i −0.780338 + 0.0298104i
\(685\) 13.5949 0.519436
\(686\) −17.6365 + 14.7988i −0.673364 + 0.565019i
\(687\) 12.0168 + 7.29496i 0.458469 + 0.278320i
\(688\) 2.93857 16.6655i 0.112032 0.635365i
\(689\) 4.11617 11.3091i 0.156813 0.430842i
\(690\) −8.89203 11.0834i −0.338514 0.421938i
\(691\) −8.26509 14.3156i −0.314419 0.544589i 0.664895 0.746937i \(-0.268476\pi\)
−0.979314 + 0.202347i \(0.935143\pi\)
\(692\) −1.31278 2.27379i −0.0499043 0.0864367i
\(693\) 1.46207 33.2081i 0.0555394 1.26147i
\(694\) 4.53717 + 12.4658i 0.172229 + 0.473194i
\(695\) 2.41634i 0.0916572i
\(696\) −17.6482 + 20.1165i −0.668955 + 0.762515i
\(697\) −1.35945 3.73506i −0.0514929 0.141475i
\(698\) 5.88730 + 2.14280i 0.222837 + 0.0811062i
\(699\) 4.75726 + 1.85100i 0.179936 + 0.0700113i
\(700\) 2.57412 + 0.936903i 0.0972926 + 0.0354116i
\(701\) −7.20277 + 19.7895i −0.272045 + 0.747438i 0.726159 + 0.687527i \(0.241304\pi\)
−0.998204 + 0.0599105i \(0.980918\pi\)
\(702\) −3.34770 + 5.00424i −0.126351 + 0.188873i
\(703\) 19.9258 + 20.1294i 0.751514 + 0.759195i
\(704\) −1.40828 0.813070i −0.0530765 0.0306437i
\(705\) −0.683498 + 31.0638i −0.0257420 + 1.16993i
\(706\) −10.6269 12.6646i −0.399948 0.476639i
\(707\) 15.4354 + 2.72167i 0.580507 + 0.102359i
\(708\) −14.8353 + 8.13542i −0.557546 + 0.305748i
\(709\) −23.9165 20.0683i −0.898202 0.753681i 0.0716360 0.997431i \(-0.477178\pi\)
−0.969838 + 0.243750i \(0.921622\pi\)
\(710\) −12.1804 7.03238i −0.457124 0.263920i
\(711\) 3.94085 + 5.13971i 0.147793 + 0.192754i
\(712\) 29.1404 10.6062i 1.09208 0.397485i
\(713\) −3.03992 + 17.2402i −0.113846 + 0.645652i
\(714\) 4.64315 23.3204i 0.173765 0.872743i
\(715\) 8.99209i 0.336285i
\(716\) −17.2856 + 6.29145i −0.645994 + 0.235123i
\(717\) −45.6390 1.00420i −1.70442 0.0375025i
\(718\) 4.96377 + 13.6378i 0.185246 + 0.508960i
\(719\) 26.2012 4.61998i 0.977140 0.172296i 0.337798 0.941219i \(-0.390318\pi\)
0.639342 + 0.768922i \(0.279207\pi\)
\(720\) −3.02755 9.61442i −0.112830 0.358308i
\(721\) 54.1609i 2.01706i
\(722\) 7.98606 + 9.71637i 0.297210 + 0.361606i
\(723\) −9.03458 + 45.3765i −0.336000 + 1.68757i
\(724\) −2.29081 + 0.403931i −0.0851372 + 0.0150120i
\(725\) −1.89879 + 1.59328i −0.0705194 + 0.0591728i
\(726\) 2.19930 5.65243i 0.0816237 0.209781i
\(727\) 2.05596 + 11.6599i 0.0762514 + 0.432443i 0.998904 + 0.0468106i \(0.0149057\pi\)
−0.922652 + 0.385633i \(0.873983\pi\)
\(728\) 18.8460 + 3.32305i 0.698478 + 0.123161i
\(729\) −26.7651 3.55358i −0.991301 0.131614i
\(730\) 13.4682 7.77588i 0.498481 0.287798i
\(731\) −47.6924 8.40946i −1.76397 0.311035i
\(732\) 2.58707 + 3.22463i 0.0956209 + 0.119186i
\(733\) 17.2431 29.8660i 0.636889 1.10312i −0.349222 0.937040i \(-0.613554\pi\)
0.986111 0.166085i \(-0.0531126\pi\)
\(734\) −8.56435 −0.316116
\(735\) 50.3201 + 19.5790i 1.85609 + 0.722183i
\(736\) −32.6447 + 5.75614i −1.20330 + 0.212174i
\(737\) 5.57469 + 4.67772i 0.205346 + 0.172306i
\(738\) −1.30073 1.19277i −0.0478804 0.0439065i
\(739\) −30.7255 11.1832i −1.13026 0.411379i −0.291871 0.956458i \(-0.594278\pi\)
−0.838385 + 0.545078i \(0.816500\pi\)
\(740\) −10.9087 + 18.8945i −0.401014 + 0.694576i
\(741\) −13.1914 + 0.794856i −0.484598 + 0.0291997i
\(742\) 10.5518 + 18.2762i 0.387369 + 0.670942i
\(743\) −3.72832 21.1444i −0.136779 0.775711i −0.973604 0.228242i \(-0.926702\pi\)
0.836826 0.547470i \(-0.184409\pi\)
\(744\) 6.43539 10.6008i 0.235933 0.388645i
\(745\) −0.245673 + 0.0894176i −0.00900076 + 0.00327601i
\(746\) −0.305151 0.363665i −0.0111724 0.0133147i
\(747\) −0.282462 + 6.41559i −0.0103347 + 0.234734i
\(748\) 8.34600 14.4557i 0.305160 0.528553i
\(749\) −66.2164 −2.41949
\(750\) 2.01425 + 13.1027i 0.0735500 + 0.478444i
\(751\) 15.7431 18.7619i 0.574472 0.684630i −0.398070 0.917355i \(-0.630320\pi\)
0.972542 + 0.232725i \(0.0747643\pi\)
\(752\) 11.2942 + 6.52072i 0.411858 + 0.237786i
\(753\) 2.20913 11.0954i 0.0805050 0.404340i
\(754\) −4.88060 + 5.81647i −0.177741 + 0.211823i
\(755\) −1.92514 + 1.61538i −0.0700629 + 0.0587898i
\(756\) 10.5102 + 36.1327i 0.382253 + 1.31414i
\(757\) 7.22863 + 40.9956i 0.262729 + 1.49001i 0.775424 + 0.631440i \(0.217536\pi\)
−0.512695 + 0.858571i \(0.671353\pi\)
\(758\) −4.43558 5.28612i −0.161108 0.192001i
\(759\) 7.66531 + 22.5948i 0.278233 + 0.820141i
\(760\) −12.7646 + 18.0339i −0.463021 + 0.654159i
\(761\) −24.5630 + 14.1815i −0.890409 + 0.514078i −0.874076 0.485789i \(-0.838532\pi\)
−0.0163325 + 0.999867i \(0.505199\pi\)
\(762\) −3.40671 + 5.61177i −0.123412 + 0.203293i
\(763\) 3.78753 10.4062i 0.137118 0.376728i
\(764\) 12.9681 15.4548i 0.469171 0.559136i
\(765\) −27.5141 + 8.66410i −0.994774 + 0.313251i
\(766\) 3.19638 18.1276i 0.115490 0.654976i
\(767\) −9.48136 + 5.47407i −0.342352 + 0.197657i
\(768\) 14.7371 + 2.93419i 0.531778 + 0.105878i
\(769\) 13.9551 + 11.7097i 0.503233 + 0.422263i 0.858740 0.512411i \(-0.171247\pi\)
−0.355507 + 0.934673i \(0.615692\pi\)
\(770\) −12.0790 10.1355i −0.435296 0.365256i
\(771\) 35.6796 + 7.10390i 1.28497 + 0.255841i