Properties

Label 392.2.z.a.109.21
Level $392$
Weight $2$
Character 392.109
Analytic conductor $3.130$
Analytic rank $0$
Dimension $648$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 392 = 2^{3} \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 392.z (of order \(42\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.13013575923\)
Analytic rank: \(0\)
Dimension: \(648\)
Relative dimension: \(54\) over \(\Q(\zeta_{42})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label 109.21
Character \(\chi\) \(=\) 392.109
Dual form 392.2.z.a.205.21

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.624156 + 1.26903i) q^{2} +(-0.371894 - 2.46736i) q^{3} +(-1.22086 - 1.58414i) q^{4} +(-1.53857 - 0.603845i) q^{5} +(3.36326 + 1.06807i) q^{6} +(2.53791 - 0.747686i) q^{7} +(2.77232 - 0.560553i) q^{8} +(-3.08282 + 0.950925i) q^{9} +O(q^{10})\) \(q+(-0.624156 + 1.26903i) q^{2} +(-0.371894 - 2.46736i) q^{3} +(-1.22086 - 1.58414i) q^{4} +(-1.53857 - 0.603845i) q^{5} +(3.36326 + 1.06807i) q^{6} +(2.53791 - 0.747686i) q^{7} +(2.77232 - 0.560553i) q^{8} +(-3.08282 + 0.950925i) q^{9} +(1.72661 - 1.57560i) q^{10} +(0.767062 - 2.48676i) q^{11} +(-3.45461 + 3.60143i) q^{12} +(-6.17046 + 1.40837i) q^{13} +(-0.635214 + 3.68734i) q^{14} +(-0.917715 + 4.02077i) q^{15} +(-1.01900 + 3.86803i) q^{16} +(1.72613 - 1.17685i) q^{17} +(0.717412 - 4.50571i) q^{18} +(-1.99327 + 1.15081i) q^{19} +(0.921805 + 3.17453i) q^{20} +(-2.78864 - 5.98386i) q^{21} +(2.67699 + 2.52555i) q^{22} +(-4.07160 - 2.77597i) q^{23} +(-2.41410 - 6.63184i) q^{24} +(-1.66268 - 1.54274i) q^{25} +(2.06407 - 8.70951i) q^{26} +(0.244841 + 0.508417i) q^{27} +(-4.28287 - 3.10758i) q^{28} +(0.406906 - 0.844948i) q^{29} +(-4.52967 - 3.67419i) q^{30} +(-3.84883 + 6.66636i) q^{31} +(-4.27261 - 3.70740i) q^{32} +(-6.42098 - 0.967807i) q^{33} +(0.416087 + 2.92504i) q^{34} +(-4.35624 - 0.382133i) q^{35} +(5.27009 + 3.72268i) q^{36} +(5.68048 - 0.425693i) q^{37} +(-0.216305 - 3.24780i) q^{38} +(5.76970 + 14.7009i) q^{39} +(-4.60391 - 0.811603i) q^{40} +(-6.63484 - 8.31983i) q^{41} +(9.33422 + 0.195998i) q^{42} +(4.22854 + 3.37215i) q^{43} +(-4.87585 + 1.82084i) q^{44} +(5.31736 + 0.398481i) q^{45} +(6.06409 - 3.43433i) q^{46} +(-3.14157 + 2.91495i) q^{47} +(9.92276 + 1.07575i) q^{48} +(5.88193 - 3.79511i) q^{49} +(2.99556 - 1.14708i) q^{50} +(-3.54565 - 3.82130i) q^{51} +(9.76431 + 8.05545i) q^{52} +(0.170743 + 0.0127954i) q^{53} +(-0.798013 - 0.00662185i) q^{54} +(-2.68180 + 3.36287i) q^{55} +(6.61678 - 3.49546i) q^{56} +(3.58076 + 4.49012i) q^{57} +(0.818290 + 1.04375i) q^{58} +(6.28830 - 2.46798i) q^{59} +(7.48987 - 3.45501i) q^{60} +(0.0851461 - 0.00638082i) q^{61} +(-6.05753 - 9.04511i) q^{62} +(-7.11292 + 4.71834i) q^{63} +(7.37156 - 3.10807i) q^{64} +(10.3441 + 1.55913i) q^{65} +(5.23586 - 7.54433i) q^{66} +(-0.684910 - 0.395433i) q^{67} +(-3.97166 - 1.29765i) q^{68} +(-5.33510 + 11.0785i) q^{69} +(3.20391 - 5.28968i) q^{70} +(12.8656 - 6.19575i) q^{71} +(-8.01354 + 4.36436i) q^{72} +(-7.91929 - 7.34803i) q^{73} +(-3.00529 + 7.47438i) q^{74} +(-3.18816 + 4.67617i) q^{75} +(4.25655 + 1.75264i) q^{76} +(0.0874195 - 6.88467i) q^{77} +(-22.2571 - 1.85378i) q^{78} +(5.88861 + 10.1994i) q^{79} +(3.90350 - 5.33592i) q^{80} +(-6.83332 + 4.65888i) q^{81} +(14.6993 - 3.22693i) q^{82} +(5.33158 + 1.21690i) q^{83} +(-6.07474 + 11.7230i) q^{84} +(-3.36641 + 0.768360i) q^{85} +(-6.91861 + 3.26138i) q^{86} +(-2.23611 - 0.689750i) q^{87} +(0.732587 - 7.32407i) q^{88} +(1.73014 - 0.533679i) q^{89} +(-3.82454 + 6.49916i) q^{90} +(-14.6070 + 8.18786i) q^{91} +(0.573323 + 9.83905i) q^{92} +(17.8796 + 7.01724i) q^{93} +(-1.73832 - 5.80612i) q^{94} +(3.76170 - 0.566986i) q^{95} +(-7.55851 + 11.9208i) q^{96} -0.317284 q^{97} +(1.14486 + 9.83307i) q^{98} +8.39565i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 648 q - 13 q^{2} - 13 q^{4} - 6 q^{6} - 24 q^{7} - 16 q^{8} - 76 q^{9} + O(q^{10}) \) \( 648 q - 13 q^{2} - 13 q^{4} - 6 q^{6} - 24 q^{7} - 16 q^{8} - 76 q^{9} - 6 q^{10} - 47 q^{12} - 33 q^{14} - 8 q^{15} - 17 q^{16} - 26 q^{17} - 8 q^{18} - 22 q^{20} - 18 q^{22} - 26 q^{23} - 74 q^{24} - 72 q^{25} - 12 q^{26} + 2 q^{28} - 11 q^{30} + 60 q^{31} - 13 q^{32} - 14 q^{33} - 18 q^{34} + 8 q^{36} - 46 q^{38} - 32 q^{39} + 32 q^{40} - 20 q^{41} - 36 q^{42} + 38 q^{44} - 22 q^{46} - 58 q^{47} + 28 q^{48} - 16 q^{49} - 132 q^{50} + 18 q^{52} - 37 q^{54} - 32 q^{55} + 96 q^{56} - 66 q^{57} + 100 q^{60} + 28 q^{62} - 72 q^{63} - 28 q^{64} - 36 q^{65} - 4 q^{66} - 11 q^{68} - 36 q^{70} + 60 q^{71} - 130 q^{72} - 18 q^{73} - 12 q^{74} + 11 q^{76} - 132 q^{78} - 12 q^{79} - 64 q^{80} - 58 q^{81} + 152 q^{82} - 224 q^{84} + 55 q^{86} - 8 q^{87} - 169 q^{88} - 18 q^{89} + 144 q^{90} - 54 q^{92} + 154 q^{94} - 64 q^{95} - 142 q^{96} - 96 q^{97} + 151 q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/392\mathbb{Z}\right)^\times\).

\(n\) \(197\) \(295\) \(297\)
\(\chi(n)\) \(-1\) \(1\) \(e\left(\frac{20}{21}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.624156 + 1.26903i −0.441345 + 0.897338i
\(3\) −0.371894 2.46736i −0.214713 1.42453i −0.793262 0.608881i \(-0.791619\pi\)
0.578549 0.815648i \(-0.303619\pi\)
\(4\) −1.22086 1.58414i −0.610430 0.792070i
\(5\) −1.53857 0.603845i −0.688071 0.270048i −0.00456136 0.999990i \(-0.501452\pi\)
−0.683509 + 0.729942i \(0.739547\pi\)
\(6\) 3.36326 + 1.06807i 1.37305 + 0.436038i
\(7\) 2.53791 0.747686i 0.959238 0.282599i
\(8\) 2.77232 0.560553i 0.980165 0.198185i
\(9\) −3.08282 + 0.950925i −1.02761 + 0.316975i
\(10\) 1.72661 1.57560i 0.546000 0.498248i
\(11\) 0.767062 2.48676i 0.231278 0.749785i −0.763323 0.646017i \(-0.776434\pi\)
0.994601 0.103768i \(-0.0330901\pi\)
\(12\) −3.45461 + 3.60143i −0.997260 + 1.03964i
\(13\) −6.17046 + 1.40837i −1.71138 + 0.390610i −0.962325 0.271902i \(-0.912348\pi\)
−0.749051 + 0.662512i \(0.769490\pi\)
\(14\) −0.635214 + 3.68734i −0.169768 + 0.985484i
\(15\) −0.917715 + 4.02077i −0.236953 + 1.03816i
\(16\) −1.01900 + 3.86803i −0.254751 + 0.967007i
\(17\) 1.72613 1.17685i 0.418647 0.285429i −0.335619 0.941998i \(-0.608945\pi\)
0.754266 + 0.656569i \(0.227993\pi\)
\(18\) 0.717412 4.50571i 0.169096 1.06201i
\(19\) −1.99327 + 1.15081i −0.457287 + 0.264015i −0.710903 0.703290i \(-0.751714\pi\)
0.253616 + 0.967305i \(0.418380\pi\)
\(20\) 0.921805 + 3.17453i 0.206122 + 0.709846i
\(21\) −2.78864 5.98386i −0.608531 1.30578i
\(22\) 2.67699 + 2.52555i 0.570737 + 0.538448i
\(23\) −4.07160 2.77597i −0.848987 0.578830i 0.0587959 0.998270i \(-0.481274\pi\)
−0.907783 + 0.419441i \(0.862226\pi\)
\(24\) −2.41410 6.63184i −0.492775 1.35372i
\(25\) −1.66268 1.54274i −0.332536 0.308549i
\(26\) 2.06407 8.70951i 0.404797 1.70808i
\(27\) 0.244841 + 0.508417i 0.0471196 + 0.0978449i
\(28\) −4.28287 3.10758i −0.809386 0.587278i
\(29\) 0.406906 0.844948i 0.0755605 0.156903i −0.859767 0.510687i \(-0.829391\pi\)
0.935327 + 0.353784i \(0.115105\pi\)
\(30\) −4.52967 3.67419i −0.827001 0.670813i
\(31\) −3.84883 + 6.66636i −0.691270 + 1.19731i 0.280153 + 0.959955i \(0.409615\pi\)
−0.971422 + 0.237359i \(0.923718\pi\)
\(32\) −4.27261 3.70740i −0.755298 0.655381i
\(33\) −6.42098 0.967807i −1.11775 0.168474i
\(34\) 0.416087 + 2.92504i 0.0713583 + 0.501640i
\(35\) −4.35624 0.382133i −0.736339 0.0645922i
\(36\) 5.27009 + 3.72268i 0.878349 + 0.620447i
\(37\) 5.68048 0.425693i 0.933864 0.0699835i 0.400901 0.916122i \(-0.368697\pi\)
0.532964 + 0.846138i \(0.321078\pi\)
\(38\) −0.216305 3.24780i −0.0350892 0.526863i
\(39\) 5.76970 + 14.7009i 0.923891 + 2.35404i
\(40\) −4.60391 0.811603i −0.727942 0.128326i
\(41\) −6.63484 8.31983i −1.03619 1.29934i −0.953054 0.302801i \(-0.902078\pi\)
−0.0831344 0.996538i \(-0.526493\pi\)
\(42\) 9.33422 + 0.195998i 1.44030 + 0.0302432i
\(43\) 4.22854 + 3.37215i 0.644846 + 0.514247i 0.890426 0.455129i \(-0.150407\pi\)
−0.245580 + 0.969376i \(0.578978\pi\)
\(44\) −4.87585 + 1.82084i −0.735062 + 0.274503i
\(45\) 5.31736 + 0.398481i 0.792665 + 0.0594020i
\(46\) 6.06409 3.43433i 0.894101 0.506365i
\(47\) −3.14157 + 2.91495i −0.458245 + 0.425189i −0.875217 0.483730i \(-0.839282\pi\)
0.416972 + 0.908919i \(0.363091\pi\)
\(48\) 9.92276 + 1.07575i 1.43223 + 0.155271i
\(49\) 5.88193 3.79511i 0.840276 0.542159i
\(50\) 2.99556 1.14708i 0.423636 0.162221i
\(51\) −3.54565 3.82130i −0.496490 0.535089i
\(52\) 9.76431 + 8.05545i 1.35407 + 1.11709i
\(53\) 0.170743 + 0.0127954i 0.0234534 + 0.00175759i 0.0864516 0.996256i \(-0.472447\pi\)
−0.0629982 + 0.998014i \(0.520066\pi\)
\(54\) −0.798013 0.00662185i −0.108596 0.000901120i
\(55\) −2.68180 + 3.36287i −0.361613 + 0.453449i
\(56\) 6.61678 3.49546i 0.884204 0.467100i
\(57\) 3.58076 + 4.49012i 0.474283 + 0.594732i
\(58\) 0.818290 + 1.04375i 0.107447 + 0.137052i
\(59\) 6.28830 2.46798i 0.818667 0.321303i 0.0812099 0.996697i \(-0.474122\pi\)
0.737457 + 0.675394i \(0.236026\pi\)
\(60\) 7.48987 3.45501i 0.966939 0.446040i
\(61\) 0.0851461 0.00638082i 0.0109018 0.000816980i −0.0692781 0.997597i \(-0.522070\pi\)
0.0801799 + 0.996780i \(0.474451\pi\)
\(62\) −6.05753 9.04511i −0.769307 1.14873i
\(63\) −7.11292 + 4.71834i −0.896144 + 0.594455i
\(64\) 7.37156 3.10807i 0.921445 0.388509i
\(65\) 10.3441 + 1.55913i 1.28303 + 0.193386i
\(66\) 5.23586 7.54433i 0.644490 0.928643i
\(67\) −0.684910 0.395433i −0.0836751 0.0483099i 0.457579 0.889169i \(-0.348717\pi\)
−0.541254 + 0.840859i \(0.682050\pi\)
\(68\) −3.97166 1.29765i −0.481634 0.157364i
\(69\) −5.33510 + 11.0785i −0.642271 + 1.33369i
\(70\) 3.20391 5.28968i 0.382940 0.632237i
\(71\) 12.8656 6.19575i 1.52687 0.735300i 0.533023 0.846101i \(-0.321056\pi\)
0.993843 + 0.110801i \(0.0353417\pi\)
\(72\) −8.01354 + 4.36436i −0.944405 + 0.514345i
\(73\) −7.91929 7.34803i −0.926883 0.860022i 0.0635553 0.997978i \(-0.479756\pi\)
−0.990438 + 0.137957i \(0.955947\pi\)
\(74\) −3.00529 + 7.47438i −0.349357 + 0.868879i
\(75\) −3.18816 + 4.67617i −0.368137 + 0.539957i
\(76\) 4.25655 + 1.75264i 0.488260 + 0.201041i
\(77\) 0.0874195 6.88467i 0.00996238 0.784581i
\(78\) −22.2571 1.85378i −2.52012 0.209899i
\(79\) 5.88861 + 10.1994i 0.662521 + 1.14752i 0.979951 + 0.199238i \(0.0638466\pi\)
−0.317431 + 0.948281i \(0.602820\pi\)
\(80\) 3.90350 5.33592i 0.436425 0.596574i
\(81\) −6.83332 + 4.65888i −0.759258 + 0.517654i
\(82\) 14.6993 3.22693i 1.62326 0.356354i
\(83\) 5.33158 + 1.21690i 0.585217 + 0.133572i 0.504871 0.863195i \(-0.331540\pi\)
0.0803465 + 0.996767i \(0.474397\pi\)
\(84\) −6.07474 + 11.7230i −0.662808 + 1.27909i
\(85\) −3.36641 + 0.768360i −0.365138 + 0.0833404i
\(86\) −6.91861 + 3.26138i −0.746053 + 0.351684i
\(87\) −2.23611 0.689750i −0.239737 0.0739489i
\(88\) 0.732587 7.32407i 0.0780941 0.780749i
\(89\) 1.73014 0.533679i 0.183395 0.0565698i −0.201698 0.979448i \(-0.564646\pi\)
0.385092 + 0.922878i \(0.374170\pi\)
\(90\) −3.82454 + 6.49916i −0.403142 + 0.685072i
\(91\) −14.6070 + 8.18786i −1.53123 + 0.858321i
\(92\) 0.573323 + 9.83905i 0.0597731 + 1.02579i
\(93\) 17.8796 + 7.01724i 1.85403 + 0.727654i
\(94\) −1.73832 5.80612i −0.179294 0.598855i
\(95\) 3.76170 0.566986i 0.385943 0.0581715i
\(96\) −7.55851 + 11.9208i −0.771437 + 1.21666i
\(97\) −0.317284 −0.0322154 −0.0161077 0.999870i \(-0.505127\pi\)
−0.0161077 + 0.999870i \(0.505127\pi\)
\(98\) 1.14486 + 9.83307i 0.115649 + 0.993290i
\(99\) 8.39565i 0.843794i
\(100\) −0.414022 + 4.51740i −0.0414022 + 0.451740i
\(101\) −2.44347 16.2113i −0.243134 1.61309i −0.693644 0.720318i \(-0.743996\pi\)
0.450510 0.892771i \(-0.351242\pi\)
\(102\) 7.06237 2.11444i 0.699279 0.209361i
\(103\) 6.65813 16.9646i 0.656045 1.67158i −0.0818371 0.996646i \(-0.526079\pi\)
0.737882 0.674930i \(-0.235826\pi\)
\(104\) −16.3170 + 7.36331i −1.60002 + 0.722032i
\(105\) 0.677202 + 10.8905i 0.0660881 + 1.06280i
\(106\) −0.122808 + 0.208691i −0.0119282 + 0.0202699i
\(107\) −3.63296 11.7778i −0.351212 1.13860i −0.943080 0.332566i \(-0.892086\pi\)
0.591868 0.806035i \(-0.298391\pi\)
\(108\) 0.506488 1.00857i 0.0487368 0.0970495i
\(109\) −4.08949 + 13.2578i −0.391702 + 1.26987i 0.518276 + 0.855213i \(0.326574\pi\)
−0.909979 + 0.414655i \(0.863902\pi\)
\(110\) −2.59371 5.50223i −0.247301 0.524617i
\(111\) −3.16287 13.8574i −0.300206 1.31529i
\(112\) 0.305932 + 10.5786i 0.0289079 + 0.999582i
\(113\) 3.68853 16.1605i 0.346988 1.52025i −0.436991 0.899466i \(-0.643956\pi\)
0.783979 0.620787i \(-0.213187\pi\)
\(114\) −7.93304 + 1.74154i −0.742997 + 0.163110i
\(115\) 4.58820 + 6.72965i 0.427851 + 0.627543i
\(116\) −1.83529 + 0.386967i −0.170403 + 0.0359290i
\(117\) 17.6832 10.2094i 1.63481 0.943858i
\(118\) −0.792950 + 9.52043i −0.0729970 + 0.876426i
\(119\) 3.50083 4.27734i 0.320920 0.392103i
\(120\) −0.290347 + 11.6613i −0.0265050 + 1.06453i
\(121\) 3.49306 + 2.38153i 0.317551 + 0.216502i
\(122\) −0.0450470 + 0.112035i −0.00407836 + 0.0101432i
\(123\) −18.0605 + 19.4646i −1.62846 + 1.75507i
\(124\) 15.2593 2.04161i 1.37033 0.183342i
\(125\) 5.21225 + 10.8234i 0.466198 + 0.968070i
\(126\) −1.54813 11.9715i −0.137919 1.06650i
\(127\) −6.55145 3.15501i −0.581347 0.279962i 0.120009 0.992773i \(-0.461708\pi\)
−0.701356 + 0.712811i \(0.747422\pi\)
\(128\) −0.656777 + 11.2946i −0.0580515 + 0.998314i
\(129\) 6.74772 11.6874i 0.594103 1.02902i
\(130\) −8.43492 + 12.1538i −0.739792 + 1.06596i
\(131\) −1.64027 + 10.8825i −0.143311 + 0.950808i 0.795395 + 0.606091i \(0.207263\pi\)
−0.938707 + 0.344717i \(0.887975\pi\)
\(132\) 6.30597 + 11.3533i 0.548864 + 0.988177i
\(133\) −4.19828 + 4.41100i −0.364037 + 0.382482i
\(134\) 0.929306 0.622358i 0.0802798 0.0537635i
\(135\) −0.0697000 0.930082i −0.00599882 0.0800487i
\(136\) 4.12569 4.23020i 0.353775 0.362737i
\(137\) 2.25712 + 5.75104i 0.192838 + 0.491344i 0.994290 0.106716i \(-0.0340335\pi\)
−0.801451 + 0.598060i \(0.795938\pi\)
\(138\) −10.7289 13.6851i −0.913306 1.16495i
\(139\) 3.00358 2.39528i 0.254760 0.203165i −0.487779 0.872967i \(-0.662193\pi\)
0.742539 + 0.669803i \(0.233621\pi\)
\(140\) 4.71300 + 7.36743i 0.398322 + 0.622661i
\(141\) 8.36055 + 6.66732i 0.704085 + 0.561489i
\(142\) −0.167567 + 20.1939i −0.0140619 + 1.69463i
\(143\) −1.23086 + 16.4247i −0.102930 + 1.37350i
\(144\) −0.536792 12.8934i −0.0447326 1.07445i
\(145\) −1.13627 + 1.05431i −0.0943622 + 0.0875554i
\(146\) 14.2677 5.46348i 1.18080 0.452161i
\(147\) −11.5514 13.1014i −0.952740 1.08059i
\(148\) −7.60942 8.47896i −0.625490 0.696966i
\(149\) −9.33339 10.0590i −0.764621 0.824065i 0.223985 0.974593i \(-0.428093\pi\)
−0.988606 + 0.150527i \(0.951903\pi\)
\(150\) −3.94428 6.96451i −0.322049 0.568650i
\(151\) 0.219759 2.93248i 0.0178837 0.238641i −0.981098 0.193514i \(-0.938012\pi\)
0.998981 0.0451275i \(-0.0143694\pi\)
\(152\) −4.88090 + 4.30776i −0.395893 + 0.349406i
\(153\) −4.20224 + 5.26944i −0.339731 + 0.426009i
\(154\) 8.68227 + 4.40805i 0.699637 + 0.355210i
\(155\) 9.94715 7.93259i 0.798974 0.637161i
\(156\) 16.2444 27.0878i 1.30059 2.16876i
\(157\) 10.2718 4.03139i 0.819780 0.321740i 0.0818733 0.996643i \(-0.473910\pi\)
0.737907 + 0.674903i \(0.235814\pi\)
\(158\) −16.6187 + 1.10681i −1.32211 + 0.0880531i
\(159\) −0.0319275 0.426043i −0.00253202 0.0337874i
\(160\) 4.33503 + 8.28410i 0.342714 + 0.654915i
\(161\) −12.4089 4.00087i −0.977957 0.315313i
\(162\) −1.64719 11.5795i −0.129415 0.909775i
\(163\) 3.45458 22.9196i 0.270583 1.79520i −0.279555 0.960130i \(-0.590187\pi\)
0.550139 0.835073i \(-0.314575\pi\)
\(164\) −5.07957 + 20.6679i −0.396648 + 1.61389i
\(165\) 9.29474 + 5.36632i 0.723594 + 0.417767i
\(166\) −4.87201 + 6.00639i −0.378142 + 0.466186i
\(167\) 7.90811 + 3.80834i 0.611948 + 0.294699i 0.714071 0.700073i \(-0.246849\pi\)
−0.102123 + 0.994772i \(0.532564\pi\)
\(168\) −11.0853 15.0260i −0.855248 1.15928i
\(169\) 24.3784 11.7400i 1.87526 0.903079i
\(170\) 1.12609 4.75164i 0.0863673 0.364434i
\(171\) 5.05056 5.44321i 0.386226 0.416253i
\(172\) 0.179505 10.8155i 0.0136871 0.824675i
\(173\) 5.99839 8.79802i 0.456049 0.668901i −0.527497 0.849557i \(-0.676870\pi\)
0.983546 + 0.180655i \(0.0578219\pi\)
\(174\) 2.27099 2.40718i 0.172164 0.182488i
\(175\) −5.37322 2.67217i −0.406177 0.201997i
\(176\) 8.83720 + 5.50103i 0.666129 + 0.414656i
\(177\) −8.42796 14.5977i −0.633484 1.09723i
\(178\) −0.402626 + 2.52870i −0.0301781 + 0.189534i
\(179\) −1.48679 2.18072i −0.111128 0.162995i 0.766646 0.642070i \(-0.221924\pi\)
−0.877774 + 0.479076i \(0.840972\pi\)
\(180\) −5.86050 8.90994i −0.436816 0.664107i
\(181\) −14.9702 3.41685i −1.11272 0.253972i −0.373633 0.927577i \(-0.621888\pi\)
−0.739092 + 0.673605i \(0.764745\pi\)
\(182\) −1.27357 23.6472i −0.0944032 1.75285i
\(183\) −0.0474091 0.207713i −0.00350458 0.0153546i
\(184\) −12.8439 5.41354i −0.946863 0.399091i
\(185\) −8.99688 2.77517i −0.661464 0.204035i
\(186\) −20.0648 + 18.3099i −1.47122 + 1.34255i
\(187\) −1.60250 5.19517i −0.117186 0.379909i
\(188\) 8.45311 + 1.41794i 0.616506 + 0.103414i
\(189\) 1.00152 + 1.10725i 0.0728498 + 0.0805406i
\(190\) −1.62837 + 5.12759i −0.118134 + 0.371995i
\(191\) 2.93325 7.47380i 0.212243 0.540785i −0.784616 0.619981i \(-0.787140\pi\)
0.996859 + 0.0791962i \(0.0252354\pi\)
\(192\) −10.4102 17.0324i −0.751288 1.22921i
\(193\) −1.05325 + 0.158751i −0.0758143 + 0.0114272i −0.186840 0.982390i \(-0.559825\pi\)
0.111026 + 0.993818i \(0.464586\pi\)
\(194\) 0.198035 0.402643i 0.0142181 0.0289081i
\(195\) 26.1025i 1.86924i
\(196\) −13.1930 4.68451i −0.942358 0.334608i
\(197\) 9.73650i 0.693697i 0.937921 + 0.346848i \(0.112748\pi\)
−0.937921 + 0.346848i \(0.887252\pi\)
\(198\) −10.6543 5.24019i −0.757168 0.372404i
\(199\) −7.19911 + 1.08509i −0.510331 + 0.0769201i −0.399160 0.916881i \(-0.630698\pi\)
−0.111171 + 0.993801i \(0.535460\pi\)
\(200\) −5.47428 3.34496i −0.387090 0.236525i
\(201\) −0.720960 + 1.83698i −0.0508526 + 0.129570i
\(202\) 22.0977 + 7.01758i 1.55479 + 0.493755i
\(203\) 0.400932 2.44864i 0.0281399 0.171861i
\(204\) −1.72474 + 10.2821i −0.120756 + 0.719890i
\(205\) 5.18430 + 16.8071i 0.362087 + 1.17386i
\(206\) 17.3729 + 19.0379i 1.21043 + 1.32643i
\(207\) 15.1918 + 4.68604i 1.05590 + 0.325702i
\(208\) 0.840126 25.3026i 0.0582522 1.75442i
\(209\) 1.33283 + 5.83952i 0.0921940 + 0.403928i
\(210\) −14.2430 5.93799i −0.982862 0.409760i
\(211\) 17.1798 + 3.92118i 1.18271 + 0.269945i 0.768266 0.640130i \(-0.221120\pi\)
0.414442 + 0.910076i \(0.363977\pi\)
\(212\) −0.188184 0.286103i −0.0129245 0.0196496i
\(213\) −20.0717 29.4399i −1.37529 2.01719i
\(214\) 17.2139 + 2.74084i 1.17671 + 0.187360i
\(215\) −4.46966 7.74167i −0.304828 0.527978i
\(216\) 0.963772 + 1.27225i 0.0655764 + 0.0865657i
\(217\) −4.78361 + 19.7963i −0.324733 + 1.34386i
\(218\) −14.2720 13.4646i −0.966625 0.911939i
\(219\) −15.1851 + 22.2724i −1.02611 + 1.50503i
\(220\) 8.60135 + 0.142757i 0.579903 + 0.00962464i
\(221\) −8.99354 + 9.69273i −0.604971 + 0.652004i
\(222\) 19.5596 + 4.63543i 1.31275 + 0.311110i
\(223\) 14.9706 7.20944i 1.00250 0.482780i 0.140716 0.990050i \(-0.455060\pi\)
0.861787 + 0.507270i \(0.169345\pi\)
\(224\) −13.6155 6.21445i −0.909721 0.415220i
\(225\) 6.59279 + 3.17492i 0.439519 + 0.211661i
\(226\) 18.2059 + 14.7675i 1.21104 + 0.982321i
\(227\) 20.3905 + 11.7725i 1.35336 + 0.781365i 0.988719 0.149781i \(-0.0478569\pi\)
0.364645 + 0.931146i \(0.381190\pi\)
\(228\) 2.74139 11.1542i 0.181553 0.738707i
\(229\) −0.00666470 + 0.0442174i −0.000440416 + 0.00292197i −0.989050 0.147581i \(-0.952851\pi\)
0.988610 + 0.150503i \(0.0480893\pi\)
\(230\) −11.4039 + 1.62220i −0.751948 + 0.106964i
\(231\) −17.0195 + 2.34467i −1.11980 + 0.154268i
\(232\) 0.654436 2.57056i 0.0429658 0.168766i
\(233\) −1.70931 22.8091i −0.111981 1.49428i −0.716445 0.697644i \(-0.754232\pi\)
0.604464 0.796632i \(-0.293387\pi\)
\(234\) 1.91893 + 28.8127i 0.125445 + 1.88354i
\(235\) 6.59371 2.58784i 0.430126 0.168812i
\(236\) −11.5868 6.94850i −0.754233 0.452309i
\(237\) 22.9755 18.3224i 1.49242 1.19017i
\(238\) 3.24300 + 7.11237i 0.210212 + 0.461027i
\(239\) −9.67470 + 12.1317i −0.625804 + 0.784734i −0.989148 0.146921i \(-0.953064\pi\)
0.363344 + 0.931655i \(0.381635\pi\)
\(240\) −14.6173 7.64694i −0.943543 0.493608i
\(241\) −2.18264 + 29.1253i −0.140596 + 1.87613i 0.268010 + 0.963416i \(0.413634\pi\)
−0.408607 + 0.912711i \(0.633985\pi\)
\(242\) −5.20243 + 2.94634i −0.334425 + 0.189398i
\(243\) 15.1879 + 16.3686i 0.974302 + 1.05005i
\(244\) −0.114060 0.127093i −0.00730192 0.00813632i
\(245\) −11.3414 + 2.28728i −0.724578 + 0.146129i
\(246\) −13.4285 35.0682i −0.856173 2.23587i
\(247\) 10.6786 9.90830i 0.679464 0.630450i
\(248\) −6.93334 + 20.6388i −0.440268 + 1.31056i
\(249\) 1.01974 13.6075i 0.0646233 0.862338i
\(250\) −16.9884 0.140968i −1.07444 0.00891562i
\(251\) 9.29460 + 7.41220i 0.586670 + 0.467854i 0.871278 0.490790i \(-0.163292\pi\)
−0.284608 + 0.958644i \(0.591863\pi\)
\(252\) 16.1584 + 5.50744i 1.01788 + 0.346936i
\(253\) −10.0263 + 7.99573i −0.630350 + 0.502687i
\(254\) 8.09292 6.34475i 0.507795 0.398105i
\(255\) 3.14777 + 8.02038i 0.197121 + 0.502255i
\(256\) −13.9233 7.88308i −0.870204 0.492692i
\(257\) −1.31227 17.5110i −0.0818570 1.09231i −0.875274 0.483627i \(-0.839319\pi\)
0.793417 0.608678i \(-0.208300\pi\)
\(258\) 10.6200 + 15.8578i 0.661171 + 0.987263i
\(259\) 14.0982 5.32758i 0.876021 0.331040i
\(260\) −10.1589 18.2900i −0.630025 1.13430i
\(261\) −0.450936 + 2.99176i −0.0279122 + 0.185185i
\(262\) −12.7864 8.87393i −0.789947 0.548233i
\(263\) −2.13459 + 3.69722i −0.131625 + 0.227980i −0.924303 0.381660i \(-0.875353\pi\)
0.792678 + 0.609640i \(0.208686\pi\)
\(264\) −18.3435 + 0.916225i −1.12897 + 0.0563897i
\(265\) −0.254974 0.122789i −0.0156630 0.00754288i
\(266\) −2.97730 8.08088i −0.182550 0.495471i
\(267\) −1.96021 4.07041i −0.119963 0.249105i
\(268\) 0.209757 + 1.56776i 0.0128130 + 0.0957664i
\(269\) −13.8478 + 14.9243i −0.844314 + 0.909954i −0.996927 0.0783323i \(-0.975040\pi\)
0.152614 + 0.988286i \(0.451231\pi\)
\(270\) 1.22380 + 0.492065i 0.0744783 + 0.0299461i
\(271\) 2.69831 + 1.83968i 0.163911 + 0.111752i 0.642497 0.766288i \(-0.277898\pi\)
−0.478587 + 0.878040i \(0.658851\pi\)
\(272\) 2.79317 + 7.87592i 0.169361 + 0.477548i
\(273\) 25.6346 + 32.9957i 1.55148 + 1.99699i
\(274\) −8.70702 0.725202i −0.526010 0.0438110i
\(275\) −5.11181 + 2.95130i −0.308254 + 0.177970i
\(276\) 24.0632 5.07368i 1.44844 0.305400i
\(277\) −1.97215 2.89261i −0.118495 0.173800i 0.762409 0.647096i \(-0.224017\pi\)
−0.880904 + 0.473296i \(0.843064\pi\)
\(278\) 1.16497 + 5.30665i 0.0698701 + 0.318272i
\(279\) 5.52604 24.2112i 0.330835 1.44948i
\(280\) −12.2911 + 1.38251i −0.734535 + 0.0826206i
\(281\) 4.27294 + 18.7210i 0.254902 + 1.11680i 0.926622 + 0.375994i \(0.122699\pi\)
−0.671720 + 0.740805i \(0.734444\pi\)
\(282\) −13.6793 + 6.44832i −0.814590 + 0.383992i
\(283\) −4.54683 + 14.7404i −0.270281 + 0.876229i 0.714080 + 0.700064i \(0.246845\pi\)
−0.984361 + 0.176165i \(0.943631\pi\)
\(284\) −25.5220 12.8168i −1.51445 0.760536i
\(285\) −2.79791 9.07061i −0.165734 0.537296i
\(286\) −20.0752 11.8136i −1.18707 0.698552i
\(287\) −23.0592 16.1542i −1.36114 0.953550i
\(288\) 16.6972 + 7.36631i 0.983890 + 0.434064i
\(289\) −4.61627 + 11.7621i −0.271545 + 0.691886i
\(290\) −0.628733 2.10001i −0.0369204 0.123317i
\(291\) 0.117996 + 0.782854i 0.00691706 + 0.0458917i
\(292\) −1.97197 + 21.5162i −0.115401 + 1.25914i
\(293\) 2.20743i 0.128960i −0.997919 0.0644798i \(-0.979461\pi\)
0.997919 0.0644798i \(-0.0205388\pi\)
\(294\) 23.8359 6.48164i 1.39014 0.378017i
\(295\) −11.1653 −0.650068
\(296\) 15.5095 4.36437i 0.901471 0.253674i
\(297\) 1.45212 0.218871i 0.0842604 0.0127002i
\(298\) 18.5906 5.56594i 1.07693 0.322426i
\(299\) 29.0332 + 11.3947i 1.67903 + 0.658972i
\(300\) 11.3000 0.658453i 0.652406 0.0380158i
\(301\) 13.2529 + 5.39657i 0.763886 + 0.311053i
\(302\) 3.58423 + 2.10920i 0.206249 + 0.121371i
\(303\) −39.0905 + 12.0578i −2.24569 + 0.692703i
\(304\) −2.42023 8.88271i −0.138810 0.509458i
\(305\) −0.134857 0.0415977i −0.00772186 0.00238188i
\(306\) −4.06421 8.62171i −0.232336 0.492870i
\(307\) 21.5147 4.91059i 1.22791 0.280262i 0.441099 0.897459i \(-0.354589\pi\)
0.786809 + 0.617197i \(0.211732\pi\)
\(308\) −11.0130 + 8.26673i −0.627525 + 0.471041i
\(309\) −44.3339 10.1189i −2.52207 0.575646i
\(310\) 3.85810 + 17.5744i 0.219125 + 0.998157i
\(311\) −10.2193 + 6.96738i −0.579482 + 0.395084i −0.817289 0.576228i \(-0.804524\pi\)
0.237807 + 0.971312i \(0.423571\pi\)
\(312\) 24.2361 + 37.5216i 1.37210 + 2.12424i
\(313\) −3.30837 5.73026i −0.187000 0.323894i 0.757249 0.653127i \(-0.226543\pi\)
−0.944249 + 0.329233i \(0.893210\pi\)
\(314\) −1.29527 + 15.5514i −0.0730962 + 0.877618i
\(315\) 13.7929 2.96441i 0.777142 0.167026i
\(316\) 8.96808 21.7804i 0.504494 1.22524i
\(317\) −4.08703 + 5.99457i −0.229550 + 0.336688i −0.923682 0.383159i \(-0.874836\pi\)
0.694132 + 0.719848i \(0.255788\pi\)
\(318\) 0.560588 + 0.225400i 0.0314362 + 0.0126398i
\(319\) −1.78906 1.66000i −0.100168 0.0929423i
\(320\) −13.2185 + 0.330708i −0.738935 + 0.0184872i
\(321\) −27.7089 + 13.3439i −1.54656 + 0.744784i
\(322\) 12.8223 13.2500i 0.714558 0.738396i
\(323\) −2.08629 + 4.33224i −0.116085 + 0.241052i
\(324\) 15.7229 + 5.13711i 0.873492 + 0.285395i
\(325\) 12.4323 + 7.17776i 0.689617 + 0.398151i
\(326\) 26.9294 + 18.6894i 1.49148 + 1.03511i
\(327\) 34.2326 + 5.15973i 1.89307 + 0.285334i
\(328\) −23.0576 19.3461i −1.27315 1.06821i
\(329\) −5.79354 + 9.74678i −0.319408 + 0.537357i
\(330\) −12.6114 + 8.44585i −0.694233 + 0.464929i
\(331\) 14.0945 1.05624i 0.774705 0.0580561i 0.318490 0.947926i \(-0.396824\pi\)
0.456214 + 0.889870i \(0.349205\pi\)
\(332\) −4.58137 9.93164i −0.251435 0.545070i
\(333\) −17.1071 + 6.71404i −0.937463 + 0.367927i
\(334\) −9.76878 + 7.65860i −0.534524 + 0.419060i
\(335\) 0.815004 + 1.02198i 0.0445284 + 0.0558369i
\(336\) 25.9874 4.68896i 1.41773 0.255804i
\(337\) −7.40089 + 9.28042i −0.403152 + 0.505537i −0.941420 0.337237i \(-0.890508\pi\)
0.538268 + 0.842774i \(0.319079\pi\)
\(338\) −0.317516 + 38.2645i −0.0172706 + 2.08131i
\(339\) −41.2455 3.09092i −2.24015 0.167876i
\(340\) 5.32710 + 4.39480i 0.288903 + 0.238342i
\(341\) 13.6253 + 14.6846i 0.737853 + 0.795216i
\(342\) 3.75524 + 9.80671i 0.203060 + 0.530286i
\(343\) 12.0902 14.0295i 0.652811 0.757521i
\(344\) 13.6131 + 6.97836i 0.733971 + 0.376248i
\(345\) 14.8981 13.8234i 0.802087 0.744228i
\(346\) 7.42100 + 13.1035i 0.398955 + 0.704446i
\(347\) −26.4301 1.98067i −1.41884 0.106328i −0.656904 0.753974i \(-0.728134\pi\)
−0.761941 + 0.647647i \(0.775753\pi\)
\(348\) 1.63732 + 4.38441i 0.0877695 + 0.235029i
\(349\) −23.2353 18.5295i −1.24376 0.991863i −0.999756 0.0220878i \(-0.992969\pi\)
−0.244001 0.969775i \(-0.578460\pi\)
\(350\) 6.74478 5.15091i 0.360524 0.275328i
\(351\) −2.22682 2.79234i −0.118859 0.149044i
\(352\) −12.4967 + 7.78114i −0.666079 + 0.414736i
\(353\) −9.35869 23.8456i −0.498113 1.26917i −0.930105 0.367294i \(-0.880284\pi\)
0.431992 0.901877i \(-0.357811\pi\)
\(354\) 23.7852 1.58410i 1.26417 0.0841940i
\(355\) −23.5359 + 1.76377i −1.24916 + 0.0936114i
\(356\) −2.95768 2.08924i −0.156757 0.110730i
\(357\) −11.8557 7.04707i −0.627468 0.372971i
\(358\) 3.69539 0.525668i 0.195307 0.0277824i
\(359\) −10.4304 1.57213i −0.550497 0.0829740i −0.132097 0.991237i \(-0.542171\pi\)
−0.418400 + 0.908263i \(0.637409\pi\)
\(360\) 14.9648 1.87594i 0.788715 0.0988709i
\(361\) −6.85125 + 11.8667i −0.360592 + 0.624564i
\(362\) 13.6798 16.8649i 0.718994 0.886400i
\(363\) 4.57703 9.50430i 0.240232 0.498846i
\(364\) 30.8038 + 13.1433i 1.61456 + 0.688898i
\(365\) 7.74733 + 16.0875i 0.405514 + 0.842058i
\(366\) 0.293184 + 0.0694817i 0.0153250 + 0.00363187i
\(367\) −11.0640 10.2659i −0.577536 0.535875i 0.336408 0.941716i \(-0.390788\pi\)
−0.913943 + 0.405841i \(0.866979\pi\)
\(368\) 14.8865 12.9203i 0.776012 0.673519i
\(369\) 28.3656 + 19.3393i 1.47665 + 1.00677i
\(370\) 9.13722 9.68514i 0.475021 0.503507i
\(371\) 0.442897 0.0951887i 0.0229941 0.00494195i
\(372\) −10.7122 36.8909i −0.555403 1.91271i
\(373\) −9.54196 + 5.50905i −0.494064 + 0.285248i −0.726259 0.687421i \(-0.758743\pi\)
0.232195 + 0.972669i \(0.425409\pi\)
\(374\) 7.59302 + 1.20898i 0.392626 + 0.0625150i
\(375\) 24.7667 16.8856i 1.27894 0.871970i
\(376\) −7.07546 + 9.84220i −0.364889 + 0.507573i
\(377\) −1.32080 + 5.78679i −0.0680245 + 0.298035i
\(378\) −2.03023 + 0.579858i −0.104424 + 0.0298247i
\(379\) −20.9952 + 4.79203i −1.07845 + 0.246150i −0.724613 0.689156i \(-0.757981\pi\)
−0.353840 + 0.935306i \(0.615124\pi\)
\(380\) −5.49070 5.26686i −0.281667 0.270184i
\(381\) −5.34809 + 17.3381i −0.273991 + 0.888257i
\(382\) 7.65365 + 8.38719i 0.391595 + 0.429126i
\(383\) 30.1153 9.28934i 1.53882 0.474663i 0.594612 0.804013i \(-0.297306\pi\)
0.944208 + 0.329350i \(0.106830\pi\)
\(384\) 28.1121 2.57990i 1.43459 0.131655i
\(385\) −4.29178 + 10.5398i −0.218729 + 0.537157i
\(386\) 0.455930 1.43568i 0.0232062 0.0730743i
\(387\) −16.2425 6.37471i −0.825652 0.324045i
\(388\) 0.387360 + 0.502623i 0.0196652 + 0.0255168i
\(389\) −1.61923 10.7429i −0.0820981 0.544685i −0.991636 0.129065i \(-0.958803\pi\)
0.909538 0.415620i \(-0.136436\pi\)
\(390\) 33.1248 + 16.2920i 1.67734 + 0.824978i
\(391\) −10.2950 −0.520640
\(392\) 14.1793 13.8184i 0.716161 0.697936i
\(393\) 27.4610 1.38522
\(394\) −12.3559 6.07709i −0.622480 0.306159i
\(395\) −2.90121 19.2483i −0.145976 0.968487i
\(396\) 13.2999 10.2499i 0.668344 0.515077i
\(397\) −24.6612 9.67879i −1.23771 0.485765i −0.345940 0.938257i \(-0.612440\pi\)
−0.891768 + 0.452492i \(0.850535\pi\)
\(398\) 3.11636 9.81313i 0.156209 0.491888i
\(399\) 12.4448 + 8.71823i 0.623020 + 0.436458i
\(400\) 7.66165 4.85923i 0.383083 0.242962i
\(401\) −9.95426 + 3.07048i −0.497092 + 0.153333i −0.533156 0.846017i \(-0.678994\pi\)
0.0360640 + 0.999349i \(0.488518\pi\)
\(402\) −1.88118 2.06148i −0.0938248 0.102817i
\(403\) 14.3603 46.5550i 0.715339 2.31907i
\(404\) −22.6979 + 23.6626i −1.12926 + 1.17726i
\(405\) 13.3268 3.04176i 0.662215 0.151146i
\(406\) 2.85714 + 2.03712i 0.141798 + 0.101101i
\(407\) 3.29869 14.4525i 0.163510 0.716383i
\(408\) −11.9717 8.60636i −0.592689 0.426078i
\(409\) 22.9421 15.6417i 1.13442 0.773432i 0.157598 0.987503i \(-0.449625\pi\)
0.976818 + 0.214072i \(0.0686726\pi\)
\(410\) −24.5645 3.91122i −1.21315 0.193161i
\(411\) 13.3505 7.70789i 0.658529 0.380202i
\(412\) −35.0030 + 10.1640i −1.72447 + 0.500745i
\(413\) 14.1138 10.9652i 0.694497 0.539561i
\(414\) −15.4287 + 16.3539i −0.758281 + 0.803752i
\(415\) −7.46821 5.09174i −0.366600 0.249944i
\(416\) 31.5853 + 16.8589i 1.54860 + 0.826576i
\(417\) −7.02701 6.52011i −0.344114 0.319291i
\(418\) −8.24240 1.95337i −0.403149 0.0955424i
\(419\) 11.1333 + 23.1186i 0.543900 + 1.12942i 0.973981 + 0.226629i \(0.0727706\pi\)
−0.430081 + 0.902790i \(0.641515\pi\)
\(420\) 16.4253 14.3686i 0.801474 0.701114i
\(421\) 4.97902 10.3390i 0.242663 0.503894i −0.743693 0.668521i \(-0.766928\pi\)
0.986356 + 0.164627i \(0.0526420\pi\)
\(422\) −15.6990 + 19.3542i −0.764214 + 0.942149i
\(423\) 6.91300 11.9737i 0.336122 0.582180i
\(424\) 0.480528 0.0602375i 0.0233365 0.00292539i
\(425\) −4.68558 0.706237i −0.227284 0.0342575i
\(426\) 49.8879 7.09654i 2.41707 0.343829i
\(427\) 0.211322 0.0798565i 0.0102266 0.00386453i
\(428\) −14.2223 + 20.1341i −0.687462 + 0.973220i
\(429\) 40.9834 3.07128i 1.97870 0.148283i
\(430\) 12.6142 0.840107i 0.608309 0.0405135i
\(431\) 8.80260 + 22.4287i 0.424006 + 1.08035i 0.970117 + 0.242638i \(0.0780126\pi\)
−0.546111 + 0.837713i \(0.683892\pi\)
\(432\) −2.21606 + 0.428971i −0.106620 + 0.0206389i
\(433\) 24.1197 + 30.2451i 1.15912 + 1.45349i 0.867836 + 0.496851i \(0.165510\pi\)
0.291282 + 0.956637i \(0.405918\pi\)
\(434\) −22.1363 18.4265i −1.06258 0.884501i
\(435\) 3.02392 + 2.41150i 0.144986 + 0.115622i
\(436\) 25.9949 9.70759i 1.24493 0.464909i
\(437\) 11.3104 + 0.847599i 0.541051 + 0.0405461i
\(438\) −18.7864 33.1717i −0.897651 1.58501i
\(439\) −12.0382 + 11.1698i −0.574552 + 0.533106i −0.913043 0.407863i \(-0.866274\pi\)
0.338491 + 0.940970i \(0.390083\pi\)
\(440\) −5.54975 + 10.8262i −0.264574 + 0.516121i
\(441\) −14.5241 + 17.2929i −0.691623 + 0.823473i
\(442\) −6.68697 17.4628i −0.318067 0.830622i
\(443\) 10.6429 + 11.4703i 0.505659 + 0.544971i 0.933356 0.358951i \(-0.116865\pi\)
−0.427697 + 0.903922i \(0.640675\pi\)
\(444\) −18.0907 + 21.9284i −0.858548 + 1.04068i
\(445\) −2.98421 0.223636i −0.141465 0.0106013i
\(446\) −0.194983 + 23.4979i −0.00923274 + 1.11266i
\(447\) −21.3481 + 26.7697i −1.00973 + 1.26616i
\(448\) 16.3845 13.3996i 0.774093 0.633072i
\(449\) 2.17021 + 2.72136i 0.102419 + 0.128429i 0.830399 0.557169i \(-0.188112\pi\)
−0.727981 + 0.685598i \(0.759541\pi\)
\(450\) −8.14398 + 6.38478i −0.383911 + 0.300982i
\(451\) −25.7787 + 10.1174i −1.21387 + 0.476410i
\(452\) −30.1037 + 13.8866i −1.41596 + 0.653169i
\(453\) −7.31719 + 0.548348i −0.343792 + 0.0257636i
\(454\) −27.6664 + 18.5282i −1.29845 + 0.869574i
\(455\) 27.4182 3.77725i 1.28538 0.177080i
\(456\) 12.4440 + 10.4409i 0.582742 + 0.488939i
\(457\) 31.1560 + 4.69601i 1.45741 + 0.219670i 0.829454 0.558575i \(-0.188652\pi\)
0.627961 + 0.778245i \(0.283890\pi\)
\(458\) −0.0519533 0.0360562i −0.00242762 0.00168480i
\(459\) 1.02096 + 0.589450i 0.0476542 + 0.0275132i
\(460\) 5.05917 15.4843i 0.235885 0.721959i
\(461\) 6.89820 14.3243i 0.321281 0.667148i −0.676302 0.736624i \(-0.736419\pi\)
0.997584 + 0.0694767i \(0.0221330\pi\)
\(462\) 7.64733 23.0616i 0.355786 1.07292i
\(463\) −22.5541 + 10.8615i −1.04818 + 0.504777i −0.877014 0.480465i \(-0.840468\pi\)
−0.171166 + 0.985242i \(0.554753\pi\)
\(464\) 2.85364 + 2.43493i 0.132477 + 0.113039i
\(465\) −23.2718 21.5931i −1.07920 1.00136i
\(466\) 30.0123 + 12.0673i 1.39029 + 0.559006i
\(467\) −3.59533 + 5.27338i −0.166372 + 0.244023i −0.900366 0.435133i \(-0.856701\pi\)
0.733994 + 0.679156i \(0.237654\pi\)
\(468\) −37.7618 15.5484i −1.74554 0.718726i
\(469\) −2.03390 0.491474i −0.0939167 0.0226942i
\(470\) −0.831462 + 9.98282i −0.0383525 + 0.460473i
\(471\) −13.7669 23.8450i −0.634345 1.09872i
\(472\) 16.0498 10.3670i 0.738751 0.477178i
\(473\) 11.6293 7.92869i 0.534714 0.364562i
\(474\) 8.91129 + 40.5926i 0.409309 + 1.86448i
\(475\) 5.08959 + 1.16166i 0.233526 + 0.0533008i
\(476\) −11.0499 0.323772i −0.506473 0.0148401i
\(477\) −0.538539 + 0.122918i −0.0246580 + 0.00562802i
\(478\) −9.35693 19.8495i −0.427976 0.907896i
\(479\) 4.94027 + 1.52387i 0.225727 + 0.0696274i 0.405555 0.914071i \(-0.367078\pi\)
−0.179829 + 0.983698i \(0.557554\pi\)
\(480\) 18.8276 13.7769i 0.859360 0.628825i
\(481\) −34.4516 + 10.6269i −1.57086 + 0.484545i
\(482\) −35.5985 20.9486i −1.62147 0.954181i
\(483\) −5.25678 + 32.1050i −0.239192 + 1.46083i
\(484\) −0.491859 8.44101i −0.0223572 0.383682i
\(485\) 0.488165 + 0.191591i 0.0221664 + 0.00869969i
\(486\) −30.2518 + 9.05724i −1.37225 + 0.410845i
\(487\) 7.56923 1.14088i 0.342994 0.0516981i 0.0247136 0.999695i \(-0.492133\pi\)
0.318281 + 0.947996i \(0.396895\pi\)
\(488\) 0.232476 0.0654186i 0.0105237 0.00296136i
\(489\) −57.8356 −2.61542
\(490\) 4.17620 15.8202i 0.188662 0.714685i
\(491\) 33.0822i 1.49298i −0.665397 0.746490i \(-0.731738\pi\)
0.665397 0.746490i \(-0.268262\pi\)
\(492\) 52.8841 + 4.84686i 2.38420 + 0.218513i
\(493\) −0.292009 1.93735i −0.0131514 0.0872541i
\(494\) 5.90879 + 19.7358i 0.265849 + 0.887954i
\(495\) 5.06967 12.9173i 0.227865 0.580590i
\(496\) −21.8637 21.6804i −0.981709 0.973479i
\(497\) 28.0192 25.3436i 1.25683 1.13682i
\(498\) 16.6318 + 9.78726i 0.745288 + 0.438577i
\(499\) 2.64842 + 8.58596i 0.118559 + 0.384360i 0.995328 0.0965525i \(-0.0307816\pi\)
−0.876768 + 0.480913i \(0.840305\pi\)
\(500\) 10.7823 21.4707i 0.482199 0.960200i
\(501\) 6.45556 20.9284i 0.288413 0.935013i
\(502\) −15.2076 + 7.16874i −0.678747 + 0.319956i
\(503\) −5.17944 22.6926i −0.230940 1.01181i −0.948862 0.315690i \(-0.897764\pi\)
0.717922 0.696123i \(-0.245093\pi\)
\(504\) −17.0744 + 17.0679i −0.760556 + 0.760267i
\(505\) −6.02969 + 26.4178i −0.268318 + 1.17558i
\(506\) −3.88881 17.7143i −0.172879 0.787495i
\(507\) −38.0330 55.7842i −1.68911 2.47746i
\(508\) 3.00042 + 14.2302i 0.133122 + 0.631365i
\(509\) 1.74626 1.00820i 0.0774016 0.0446879i −0.460800 0.887504i \(-0.652437\pi\)
0.538201 + 0.842816i \(0.319104\pi\)
\(510\) −12.1428 1.01136i −0.537691 0.0447839i
\(511\) −25.5924 12.7275i −1.13214 0.563030i
\(512\) 18.6941 12.7487i 0.826171 0.563419i
\(513\) −1.07313 0.731646i −0.0473797 0.0323029i
\(514\) 23.0410 + 9.26428i 1.01629 + 0.408630i
\(515\) −20.4880 + 22.0809i −0.902811 + 0.972999i
\(516\) −26.7525 + 3.57932i −1.17771 + 0.157571i
\(517\) 4.83899 + 10.0483i 0.212818 + 0.441922i
\(518\) −2.03864 + 21.2163i −0.0895728 + 0.932189i
\(519\) −23.9386 11.5282i −1.05079 0.506033i
\(520\) 29.5513 1.47603i 1.29591 0.0647282i
\(521\) −12.0598 + 20.8883i −0.528352 + 0.915132i 0.471102 + 0.882079i \(0.343856\pi\)
−0.999454 + 0.0330531i \(0.989477\pi\)
\(522\) −3.51517 2.43957i −0.153855 0.106777i
\(523\) 4.38647 29.1023i 0.191807 1.27256i −0.661022 0.750366i \(-0.729877\pi\)
0.852829 0.522190i \(-0.174885\pi\)
\(524\) 19.2420 10.6876i 0.840589 0.466889i
\(525\) −4.59493 + 14.2514i −0.200539 + 0.621982i
\(526\) −3.35956 5.01650i −0.146484 0.218730i
\(527\) 1.20177 + 16.0365i 0.0523498 + 0.698560i
\(528\) 10.2865 23.8503i 0.447663 1.03795i
\(529\) 0.469068 + 1.19516i 0.0203942 + 0.0519637i
\(530\) 0.314967 0.246930i 0.0136813 0.0107259i
\(531\) −17.0389 + 13.5880i −0.739423 + 0.589671i
\(532\) 12.1132 + 1.26546i 0.525172 + 0.0548647i
\(533\) 52.6574 + 41.9928i 2.28084 + 1.81891i
\(534\) 6.38893 + 0.0530149i 0.276476 + 0.00229418i
\(535\) −1.52238 + 20.3147i −0.0658181 + 0.878282i
\(536\) −2.12045 0.712340i −0.0915897 0.0307684i
\(537\) −4.82769 + 4.47944i −0.208330 + 0.193302i
\(538\) −10.2962 26.8883i −0.443902 1.15924i
\(539\) −4.92571 17.5380i −0.212165 0.755416i
\(540\) −1.38829 + 1.24591i −0.0597424 + 0.0536156i
\(541\) −25.6685 27.6640i −1.10357 1.18937i −0.980407 0.196983i \(-0.936886\pi\)
−0.123167 0.992386i \(-0.539305\pi\)
\(542\) −4.01876 + 2.27598i −0.172621 + 0.0977619i
\(543\) −2.86325 + 38.2075i −0.122874 + 1.63964i
\(544\) −11.7381 1.37120i −0.503268 0.0587895i
\(545\) 14.2977 17.9287i 0.612444 0.767981i
\(546\) −57.8724 + 11.9366i −2.47671 + 0.510839i
\(547\) −9.14210 + 7.29058i −0.390888 + 0.311723i −0.799138 0.601147i \(-0.794711\pi\)
0.408250 + 0.912870i \(0.366139\pi\)
\(548\) 6.35483 10.5968i 0.271465 0.452673i
\(549\) −0.256423 + 0.100639i −0.0109439 + 0.00429515i
\(550\) −0.554720 8.32909i −0.0236533 0.355154i
\(551\) 0.161306 + 2.15248i 0.00687188 + 0.0916988i
\(552\) −8.58057 + 33.7037i −0.365213 + 1.43452i
\(553\) 22.5707 + 21.4822i 0.959803 + 0.913517i
\(554\) 4.90173 0.697270i 0.208254 0.0296242i
\(555\) −3.50145 + 23.2306i −0.148628 + 0.986083i
\(556\) −7.46140 1.83380i −0.316434 0.0777705i
\(557\) 29.2280 + 16.8748i 1.23843 + 0.715007i 0.968773 0.247950i \(-0.0797568\pi\)
0.269656 + 0.962957i \(0.413090\pi\)
\(558\) 27.2755 + 22.1242i 1.15466 + 0.936593i
\(559\) −30.8412 14.8523i −1.30444 0.628187i
\(560\) 5.91713 16.4607i 0.250044 0.695590i
\(561\) −12.2224 + 5.88599i −0.516029 + 0.248507i
\(562\) −26.4244 6.26232i −1.11465 0.264160i
\(563\) −17.0810 + 18.4089i −0.719876 + 0.775842i −0.981937 0.189209i \(-0.939408\pi\)
0.262060 + 0.965051i \(0.415598\pi\)
\(564\) 0.354912 21.3841i 0.0149445 0.900435i
\(565\) −15.4335 + 22.6368i −0.649293 + 0.952338i
\(566\) −15.8681 14.9704i −0.666986 0.629252i
\(567\) −13.8590 + 16.9330i −0.582021 + 0.711119i
\(568\) 32.1946 24.3885i 1.35085 1.02332i
\(569\) −3.62982 6.28704i −0.152170 0.263566i 0.779855 0.625960i \(-0.215293\pi\)
−0.932025 + 0.362394i \(0.881959\pi\)
\(570\) 13.2572 + 2.11085i 0.555282 + 0.0884136i
\(571\) 17.4499 + 25.5943i 0.730255 + 1.07109i 0.994304 + 0.106579i \(0.0339896\pi\)
−0.264049 + 0.964509i \(0.585058\pi\)
\(572\) 27.5218 18.1024i 1.15074 0.756900i
\(573\) −19.5314 4.45791i −0.815935 0.186232i
\(574\) 34.8926 19.1801i 1.45639 0.800561i
\(575\) 2.48717 + 10.8970i 0.103722 + 0.454436i
\(576\) −19.7697 + 16.5914i −0.823737 + 0.691310i
\(577\) 16.1632 + 4.98568i 0.672881 + 0.207556i 0.612322 0.790608i \(-0.290235\pi\)
0.0605590 + 0.998165i \(0.480712\pi\)
\(578\) −12.0451 13.1995i −0.501010 0.549028i
\(579\) 0.783391 + 2.53969i 0.0325566 + 0.105546i
\(580\) 3.05740 + 0.512855i 0.126952 + 0.0212951i
\(581\) 14.4409 0.897976i 0.599110 0.0372543i
\(582\) −1.06711 0.338882i −0.0442332 0.0140471i
\(583\) 0.162790 0.414782i 0.00674207 0.0171785i
\(584\) −26.0738 15.9319i −1.07894 0.659268i
\(585\) −33.3717 + 5.02998i −1.37975 + 0.207964i
\(586\) 2.80129 + 1.37778i 0.115720 + 0.0569157i
\(587\) 22.7807i 0.940259i −0.882597 0.470130i \(-0.844207\pi\)
0.882597 0.470130i \(-0.155793\pi\)
\(588\) −6.65194 + 34.2940i −0.274322 + 1.41426i
\(589\) 17.7171i 0.730022i
\(590\) 6.96888 14.1690i 0.286904 0.583331i
\(591\) 24.0234 3.62095i 0.988191 0.148946i
\(592\) −4.14184 + 22.4060i −0.170229 + 0.920881i
\(593\) −12.6676 + 32.2764i −0.520195 + 1.32543i 0.393609 + 0.919278i \(0.371227\pi\)
−0.913803 + 0.406157i \(0.866869\pi\)
\(594\) −0.628593 + 1.97939i −0.0257915 + 0.0812152i
\(595\) −7.96913 + 4.46704i −0.326703 + 0.183131i
\(596\) −4.54012 + 27.0660i −0.185971 + 1.10867i
\(597\) 5.35461 + 17.3592i 0.219150 + 0.710466i
\(598\) −32.5814 + 29.7319i −1.33235 + 1.21583i
\(599\) 33.4678 + 10.3234i 1.36746 + 0.421804i 0.889643 0.456657i \(-0.150953\pi\)
0.477813 + 0.878461i \(0.341429\pi\)
\(600\) −6.21736 + 14.7510i −0.253823 + 0.602206i
\(601\) 3.12538 + 13.6932i 0.127487 + 0.558557i 0.997814 + 0.0660831i \(0.0210502\pi\)
−0.870327 + 0.492474i \(0.836093\pi\)
\(602\) −15.1203 + 13.4500i −0.616257 + 0.548182i
\(603\) 2.48748 + 0.567752i 0.101298 + 0.0231207i
\(604\) −4.91375 + 3.23201i −0.199938 + 0.131509i
\(605\) −3.93625 5.77342i −0.160031 0.234723i
\(606\) 9.09684 57.1328i 0.369534 2.32086i
\(607\) −8.31437 14.4009i −0.337470 0.584515i 0.646486 0.762926i \(-0.276238\pi\)
−0.983956 + 0.178411i \(0.942904\pi\)
\(608\) 12.7830 + 2.47285i 0.518419 + 0.100287i
\(609\) −6.19076 0.0786084i −0.250862 0.00318537i
\(610\) 0.136960 0.145173i 0.00554535 0.00587789i
\(611\) 15.2796 22.4110i 0.618146 0.906654i
\(612\) 13.4779 + 0.223692i 0.544811 + 0.00904223i
\(613\) 29.4487 31.7382i 1.18942 1.28189i 0.238968 0.971027i \(-0.423191\pi\)
0.950454 0.310865i \(-0.100619\pi\)
\(614\) −7.19684 + 30.3677i −0.290441 + 1.22554i
\(615\) 39.5411 19.0420i 1.59445 0.767846i
\(616\) −3.61687 19.1355i −0.145728 0.770993i
\(617\) −14.1832 6.83025i −0.570993 0.274976i 0.126028 0.992027i \(-0.459777\pi\)
−0.697021 + 0.717051i \(0.745491\pi\)
\(618\) 40.5125 49.9452i 1.62965 2.00909i
\(619\) 6.65331 + 3.84129i 0.267419 + 0.154394i 0.627714 0.778444i \(-0.283991\pi\)
−0.360295 + 0.932838i \(0.617324\pi\)
\(620\) −24.7104 6.07311i −0.992394 0.243902i
\(621\) 0.414457 2.74974i 0.0166316 0.110343i
\(622\) −2.46338 17.3173i −0.0987725 0.694359i
\(623\) 3.99192 2.64803i 0.159933 0.106091i
\(624\) −62.7430 + 7.33700i −2.51173 + 0.293715i
\(625\) −0.636298 8.49080i −0.0254519 0.339632i
\(626\) 9.33680 0.621834i 0.373174 0.0248535i
\(627\) 13.9125 5.46026i 0.555612 0.218062i
\(628\) −18.9267 11.3502i −0.755259 0.452924i
\(629\) 9.30424 7.41988i 0.370984 0.295850i
\(630\) −4.84700 + 19.3538i −0.193109 + 0.771074i
\(631\) 12.2743 15.3915i 0.488632 0.612725i −0.474991 0.879991i \(-0.657549\pi\)
0.963623 + 0.267266i \(0.0861201\pi\)
\(632\) 22.0424 + 24.9751i 0.876801 + 0.993456i
\(633\) 3.28588 43.8470i 0.130602 1.74276i
\(634\) −5.05633 8.92809i −0.200812 0.354580i
\(635\) 8.17474 + 8.81028i 0.324405 + 0.349625i
\(636\) −0.635933 + 0.570716i −0.0252164 + 0.0226304i
\(637\) −30.9493 + 31.7015i −1.22626 + 1.25606i
\(638\) 3.22324 1.23426i 0.127609 0.0488649i
\(639\) −33.7707 + 31.3346i −1.33595 + 1.23958i
\(640\) 7.83071 16.9810i 0.309536 0.671234i
\(641\) 2.20002 29.3572i 0.0868955 1.15954i −0.767898 0.640572i \(-0.778697\pi\)
0.854794 0.518968i \(-0.173684\pi\)
\(642\) 0.360893 43.4920i 0.0142433 1.71649i
\(643\) 2.58245 + 2.05943i 0.101842 + 0.0812161i 0.673087 0.739563i \(-0.264968\pi\)
−0.571245 + 0.820780i \(0.693539\pi\)
\(644\) 8.81156 + 24.5419i 0.347224 + 0.967087i
\(645\) −17.4392 + 13.9073i −0.686669 + 0.547600i
\(646\) −4.19555 5.35155i −0.165072 0.210554i
\(647\) 0.0279662 + 0.0712567i 0.00109946 + 0.00280139i 0.931422 0.363940i \(-0.118569\pi\)
−0.930323 + 0.366741i \(0.880473\pi\)
\(648\) −16.3326 + 16.7464i −0.641607 + 0.657860i
\(649\) −1.31373 17.5306i −0.0515686 0.688135i
\(650\) −16.8684 + 11.2968i −0.661635 + 0.443098i
\(651\) 50.6236 + 4.44074i 1.98409 + 0.174046i
\(652\) −40.5255 + 22.5091i −1.58710 + 0.881524i
\(653\) 2.91085 19.3122i 0.113910 0.755745i −0.856827 0.515603i \(-0.827568\pi\)
0.970738 0.240142i \(-0.0771941\pi\)
\(654\) −27.9143 + 40.2216i −1.09154 + 1.57279i
\(655\) 9.09503 15.7530i 0.355372 0.615523i
\(656\) 38.9423 17.1858i 1.52044 0.670993i
\(657\) 31.4012 + 15.1220i 1.22508 + 0.589966i
\(658\) −8.75285 13.4357i −0.341222 0.523777i
\(659\) 14.3815 + 29.8635i 0.560224 + 1.16332i 0.968166 + 0.250310i \(0.0805324\pi\)
−0.407942 + 0.913008i \(0.633753\pi\)
\(660\) −2.84656 21.2757i −0.110802 0.828155i
\(661\) −0.560032 + 0.603571i −0.0217827 + 0.0234762i −0.743849 0.668347i \(-0.767002\pi\)
0.722067 + 0.691824i \(0.243192\pi\)
\(662\) −7.45678 + 18.5456i −0.289816 + 0.720794i
\(663\) 27.2601 + 18.5856i 1.05869 + 0.721805i
\(664\) 15.4630 + 0.385003i 0.600081 + 0.0149410i
\(665\) 9.12292 4.25153i 0.353772 0.164867i
\(666\) 2.15719 25.9000i 0.0835895 1.00360i
\(667\) −4.00231 + 2.31073i −0.154970 + 0.0894719i
\(668\) −3.62173 17.1770i −0.140129 0.664598i
\(669\) −23.3557 34.2566i −0.902985 1.32444i
\(670\) −1.80561 + 0.396386i −0.0697569 + 0.0153137i
\(671\) 0.0494449 0.216632i 0.00190880 0.00836299i
\(672\) −10.2697 + 35.9053i −0.396164 + 1.38508i
\(673\) −0.161867 0.709186i −0.00623952 0.0273371i 0.971712 0.236168i \(-0.0758914\pi\)
−0.977952 + 0.208831i \(0.933034\pi\)
\(674\) −7.15780 15.1844i −0.275708 0.584879i
\(675\) 0.377265 1.22306i 0.0145209 0.0470757i
\(676\) −48.3605 24.2859i −1.86002 0.934074i
\(677\) 4.07964 + 13.2259i 0.156793 + 0.508312i 0.999550 0.0299824i \(-0.00954512\pi\)
−0.842757 + 0.538294i \(0.819069\pi\)
\(678\) 29.6661 50.4124i 1.13932 1.93608i
\(679\) −0.805238 + 0.237229i −0.0309022 + 0.00910402i
\(680\) −8.90206 + 4.01719i −0.341379 + 0.154052i
\(681\) 21.4637 54.6887i 0.822492 2.09568i
\(682\) −27.1395 + 8.12542i −1.03922 + 0.311139i
\(683\) 2.59893 + 17.2428i 0.0994453 + 0.659777i 0.981903 + 0.189385i \(0.0606493\pi\)
−0.882458 + 0.470392i \(0.844113\pi\)
\(684\) −14.7888 1.35541i −0.565465 0.0518252i
\(685\) 10.2113i 0.390155i
\(686\) 10.2576 + 24.0994i 0.391637 + 0.920120i
\(687\) 0.111579 0.00425699
\(688\) −17.3524 + 12.9199i −0.661556 + 0.492565i
\(689\) −1.07158 + 0.161515i −0.0408241 + 0.00615324i
\(690\) 8.24356 + 27.5341i 0.313827 + 1.04820i
\(691\) 3.35406 + 1.31637i 0.127594 + 0.0500771i 0.428279 0.903646i \(-0.359120\pi\)
−0.300685 + 0.953724i \(0.597215\pi\)
\(692\) −21.2605 + 1.23885i −0.808203 + 0.0470941i
\(693\) 6.27731 + 21.3074i 0.238455 + 0.809400i
\(694\) 19.0100 32.3043i 0.721611 1.22626i
\(695\) −6.06760 + 1.87161i −0.230157 + 0.0709941i
\(696\) −6.58587 0.658749i −0.249637 0.0249698i
\(697\) −21.2438 6.55284i −0.804666 0.248206i
\(698\) 38.0169 17.9209i 1.43896 0.678316i
\(699\) −55.6426 + 12.7001i −2.10460 + 0.480360i
\(700\) 2.32685 + 11.7743i 0.0879465 + 0.445026i
\(701\) −12.8938 2.94293i −0.486993 0.111153i −0.0280277 0.999607i \(-0.508923\pi\)
−0.458965 + 0.888454i \(0.651780\pi\)
\(702\) 4.93343 1.08304i 0.186200 0.0408765i
\(703\) −10.8328 + 7.38570i −0.408568 + 0.278557i
\(704\) −2.07456 20.7154i −0.0781880 0.780739i
\(705\) −8.83729 15.3066i −0.332832 0.576481i
\(706\) 36.1019 + 3.00691i 1.35871 + 0.113166i
\(707\) −18.3223 39.3159i −0.689081 1.47863i
\(708\) −12.8354 + 31.1728i −0.482383 + 1.17154i
\(709\) −3.40193 + 4.98971i −0.127762 + 0.187393i −0.884790 0.465990i \(-0.845698\pi\)
0.757028 + 0.653383i \(0.226651\pi\)
\(710\) 12.4518 30.9686i 0.467308 1.16223i
\(711\) −27.8524 25.8432i −1.04455 0.969197i
\(712\) 4.49736 2.44937i 0.168546 0.0917939i
\(713\) 34.1765 16.4585i 1.27992 0.616377i
\(714\) 16.3427 10.6467i 0.611610 0.398442i
\(715\) 11.8118 24.5274i 0.441735 0.917272i
\(716\) −1.63941 + 5.01764i −0.0612676 + 0.187518i
\(717\) 33.5312 + 19.3592i 1.25224 + 0.722984i
\(718\) 8.50529 12.2552i 0.317415 0.457361i
\(719\) 10.0528 + 1.51522i 0.374908 + 0.0565083i 0.333794 0.942646i \(-0.391671\pi\)
0.0411142 + 0.999154i \(0.486909\pi\)
\(720\) −6.95975 + 20.1616i −0.259375 + 0.751380i
\(721\) 4.21348 48.0328i 0.156918 1.78884i
\(722\) −10.7829 16.1011i −0.401299 0.599221i
\(723\) 72.6742 5.44618i 2.70278 0.202546i
\(724\) 12.8637 + 27.8864i 0.478076 + 1.03639i
\(725\) −1.98009 + 0.777129i −0.0735388 + 0.0288619i
\(726\) 9.20443 + 11.7405i 0.341608 + 0.435732i
\(727\) −5.00609 6.27744i −0.185666 0.232817i 0.680284 0.732949i \(-0.261856\pi\)
−0.865950 + 0.500131i \(0.833285\pi\)
\(728\) −35.9057 + 30.8874i −1.33075 + 1.14476i
\(729\) 19.2694 24.1631i 0.713682 0.894929i
\(730\) −25.2510 0.209531i −0.934582 0.00775509i
\(731\) 11.2675 + 0.844383i 0.416744 + 0.0312306i
\(732\) −0.271167 + 0.328691i −0.0100226 + 0.0121488i
\(733\) −5.12209 5.52030i −0.189189 0.203897i 0.631334 0.775511i \(-0.282508\pi\)
−0.820522 + 0.571614i \(0.806317\pi\)
\(734\) 19.9333 7.63300i 0.735753 0.281739i
\(735\) 9.86136 + 27.1327i 0.363742 + 1.00081i
\(736\) 7.10475 + 26.9557i 0.261885 + 0.993599i
\(737\) −1.50871 + 1.39988i −0.0555742 + 0.0515653i
\(738\) −42.2467 + 23.9259i −1.55512 + 0.880726i
\(739\) 42.6607 + 3.19698i 1.56930 + 0.117603i 0.830769 0.556617i \(-0.187901\pi\)
0.738530 + 0.674220i \(0.235520\pi\)
\(740\) 6.58766 + 17.6404i 0.242167 + 0.648475i
\(741\) −28.4186 22.6631i −1.04398 0.832550i
\(742\) −0.155640 + 0.621461i −0.00571371 + 0.0228146i
\(743\) 18.5600 + 23.2735i 0.680899 + 0.853820i 0.995437 0.0954247i \(-0.0304209\pi\)
−0.314538 + 0.949245i \(0.601849\pi\)
\(744\) 53.5017 + 9.43158i 1.96147 + 0.345779i
\(745\) 8.28602 + 21.1124i 0.303576 + 0.773499i
\(746\) −1.03547 15.5475i −0.0379112 0.569235i
\(747\) −17.5935 + 1.31845i −0.643713 + 0.0482396i
\(748\) −6.27346 + 8.88116i −0.229380 + 0.324727i
\(749\) −18.0262 27.1746i −0.658663 0.992937i
\(750\) 5.97006 + 41.9688i 0.217996 + 1.53248i
\(751\) 22.5558 + 3.39974i 0.823072 + 0.124058i 0.547057 0.837095i \(-0.315748\pi\)
0.276015 + 0.961153i \(0.410986\pi\)
\(752\) −8.07383 15.1220i −0.294422 0.551443i
\(753\) 14.8319 25.6896i 0.540505 0.936183i
\(754\) −6.51921 5.28798i −0.237415 0.192577i
\(755\) −2.10888 + 4.37913i −0.0767499 + 0.159373i
\(756\) 0.531327 2.93834i 0.0193242 0.106867i
\(757\) 3.31534 + 6.88437i 0.120498 + 0.250217i 0.952489 0.304572i \(-0.0985134\pi\)
−0.831991 + 0.554789i \(0.812799\pi\)
\(758\) 7.02309 29.6345i 0.255090 1.07637i
\(759\) 23.4570 + 21.7650i 0.851437 + 0.790018i
\(760\) 10.1108 3.68050i 0.366759 0.133506i
\(761\) −16.5589 11.2897i −0.600259 0.409250i 0.224711 0.974425i \(-0.427856\pi\)
−0.824971 + 0.565176i \(0.808808\pi\)
\(762\) −18.6645 17.6085i −0.676142 0.637890i
\(763\) −0.466066 + 36.7047i −0.0168727 + 1.32880i
\(764\) −15.4206 + 4.47778i −0.557899 + 0.162000i
\(765\) 9.64738 5.56992i 0.348802 0.201381i
\(766\) −7.00821 + 44.0151i −0.253217 + 1.59033i
\(767\) −35.3259 + 24.0848i −1.27554 + 0.869651i
\(768\) −14.2724 + 37.2853i −0.515010 + 1.34542i
\(769\) −1.86621 + 8.17641i −0.0672973 + 0.294849i −0.997366 0.0725377i \(-0.976890\pi\)
0.930068 + 0.367387i \(0.119747\pi\)
\(770\) −10.6965 12.0248i −0.385476 0.433346i
\(771\) −42.7178 + 9.75007i −1.53845 + 0.351140i
\(772\) 1.53735 + 1.47468i 0.0553304 + 0.0530748i