Properties

Label 570.2.bi.a.557.23
Level $570$
Weight $2$
Character 570.557
Analytic conductor $4.551$
Analytic rank $0$
Dimension $480$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 570.bi (of order \(36\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.55147291521\)
Analytic rank: \(0\)
Dimension: \(480\)
Relative dimension: \(40\) over \(\Q(\zeta_{36})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{36}]$

Embedding invariants

Embedding label 557.23
Character \(\chi\) \(=\) 570.557
Dual form 570.2.bi.a.263.23

$q$-expansion

\(f(q)\) \(=\) \(q+(0.0871557 - 0.996195i) q^{2} +(-1.66215 - 0.487090i) q^{3} +(-0.984808 - 0.173648i) q^{4} +(2.04009 - 0.915434i) q^{5} +(-0.630102 + 1.61337i) q^{6} +(-0.956140 + 0.256197i) q^{7} +(-0.258819 + 0.965926i) q^{8} +(2.52549 + 1.61923i) q^{9} +O(q^{10})\) \(q+(0.0871557 - 0.996195i) q^{2} +(-1.66215 - 0.487090i) q^{3} +(-0.984808 - 0.173648i) q^{4} +(2.04009 - 0.915434i) q^{5} +(-0.630102 + 1.61337i) q^{6} +(-0.956140 + 0.256197i) q^{7} +(-0.258819 + 0.965926i) q^{8} +(2.52549 + 1.61923i) q^{9} +(-0.734145 - 2.11212i) q^{10} +(1.68727 - 0.974147i) q^{11} +(1.55232 + 0.768319i) q^{12} +(2.53459 - 5.43545i) q^{13} +(0.171889 + 0.974830i) q^{14} +(-3.83684 + 0.527881i) q^{15} +(0.939693 + 0.342020i) q^{16} +(0.249112 - 2.84737i) q^{17} +(1.83318 - 2.37475i) q^{18} +(-4.19757 + 1.17490i) q^{19} +(-2.16806 + 0.547268i) q^{20} +(1.71404 + 0.0398880i) q^{21} +(-0.823385 - 1.76575i) q^{22} +(-2.28307 + 1.59862i) q^{23} +(0.900689 - 1.47945i) q^{24} +(3.32396 - 3.73514i) q^{25} +(-5.19386 - 2.99868i) q^{26} +(-3.40903 - 3.92155i) q^{27} +(0.986102 - 0.0862727i) q^{28} +(-0.831703 - 0.697882i) q^{29} +(0.191470 + 3.86825i) q^{30} +(0.207050 - 0.358622i) q^{31} +(0.422618 - 0.906308i) q^{32} +(-3.27900 + 0.797326i) q^{33} +(-2.81482 - 0.496329i) q^{34} +(-1.71608 + 1.39795i) q^{35} +(-2.20594 - 2.03318i) q^{36} +(-6.98105 - 6.98105i) q^{37} +(0.804584 + 4.28400i) q^{38} +(-6.86042 + 7.79996i) q^{39} +(0.356226 + 2.20751i) q^{40} +(0.231277 - 0.635428i) q^{41} +(0.189124 - 1.70404i) q^{42} +(-0.540510 - 0.378469i) q^{43} +(-1.83080 + 0.666356i) q^{44} +(6.63453 + 0.991467i) q^{45} +(1.39356 + 2.41371i) q^{46} +(9.29672 - 0.813358i) q^{47} +(-1.39532 - 1.02620i) q^{48} +(-5.21361 + 3.01008i) q^{49} +(-3.43123 - 3.63685i) q^{50} +(-1.80099 + 4.61141i) q^{51} +(-3.43994 + 4.91274i) q^{52} +(-7.05061 + 4.93689i) q^{53} +(-4.20374 + 3.05427i) q^{54} +(2.55043 - 3.53194i) q^{55} -0.989869i q^{56} +(7.54928 + 0.0917376i) q^{57} +(-0.767714 + 0.767714i) q^{58} +(-0.996800 + 0.836415i) q^{59} +(3.87022 + 0.146399i) q^{60} +(1.19209 - 6.76066i) q^{61} +(-0.339211 - 0.237518i) q^{62} +(-2.82956 - 0.901190i) q^{63} +(-0.866025 - 0.500000i) q^{64} +(0.195008 - 13.4091i) q^{65} +(0.508509 + 3.33601i) q^{66} +(-1.15572 - 13.2100i) q^{67} +(-0.739768 + 2.76085i) q^{68} +(4.57347 - 1.54509i) q^{69} +(1.24306 + 1.83139i) q^{70} +(8.83250 - 1.55741i) q^{71} +(-2.21770 + 2.02035i) q^{72} +(5.75154 - 2.68199i) q^{73} +(-7.56293 + 6.34605i) q^{74} +(-7.34427 + 4.58930i) q^{75} +(4.33782 - 0.428147i) q^{76} +(-1.36369 + 1.36369i) q^{77} +(7.17235 + 7.51413i) q^{78} +(-3.54991 + 9.75331i) q^{79} +(2.23016 - 0.162474i) q^{80} +(3.75617 + 8.17870i) q^{81} +(-0.612853 - 0.285778i) q^{82} +(6.81831 - 1.82696i) q^{83} +(-1.68107 - 0.336922i) q^{84} +(-2.09836 - 6.03694i) q^{85} +(-0.424137 + 0.505467i) q^{86} +(1.04249 + 1.56510i) q^{87} +(0.504256 + 1.88191i) q^{88} +(15.9299 - 5.79801i) q^{89} +(1.56593 - 6.52287i) q^{90} +(-1.03088 + 5.84640i) q^{91} +(2.52598 - 1.17788i) q^{92} +(-0.518830 + 0.495231i) q^{93} -9.33223i q^{94} +(-7.48790 + 6.23950i) q^{95} +(-1.14391 + 1.30057i) q^{96} +(-10.1176 - 0.885172i) q^{97} +(2.54423 + 5.45612i) q^{98} +(5.83856 + 0.271889i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 480q + O(q^{10}) \) \( 480q - 36q^{15} - 48q^{18} + 24q^{22} - 24q^{25} + 72q^{33} + 24q^{43} - 36q^{45} + 24q^{51} - 120q^{55} + 108q^{57} - 48q^{60} - 48q^{61} - 36q^{63} - 24q^{66} + 48q^{67} - 48q^{70} - 48q^{78} - 144q^{81} - 48q^{85} - 96q^{87} - 168q^{90} - 144q^{91} - 228q^{93} + 48q^{97} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).

\(n\) \(191\) \(211\) \(457\)
\(\chi(n)\) \(-1\) \(e\left(\frac{7}{9}\right)\) \(e\left(\frac{1}{4}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.0871557 0.996195i 0.0616284 0.704416i
\(3\) −1.66215 0.487090i −0.959643 0.281221i
\(4\) −0.984808 0.173648i −0.492404 0.0868241i
\(5\) 2.04009 0.915434i 0.912357 0.409395i
\(6\) −0.630102 + 1.61337i −0.257238 + 0.658657i
\(7\) −0.956140 + 0.256197i −0.361387 + 0.0968333i −0.434944 0.900458i \(-0.643232\pi\)
0.0735567 + 0.997291i \(0.476565\pi\)
\(8\) −0.258819 + 0.965926i −0.0915064 + 0.341506i
\(9\) 2.52549 + 1.61923i 0.841829 + 0.539744i
\(10\) −0.734145 2.11212i −0.232157 0.667910i
\(11\) 1.68727 0.974147i 0.508732 0.293716i −0.223580 0.974685i \(-0.571775\pi\)
0.732312 + 0.680969i \(0.238441\pi\)
\(12\) 1.55232 + 0.768319i 0.448115 + 0.221795i
\(13\) 2.53459 5.43545i 0.702969 1.50752i −0.151743 0.988420i \(-0.548489\pi\)
0.854712 0.519102i \(-0.173734\pi\)
\(14\) 0.171889 + 0.974830i 0.0459392 + 0.260534i
\(15\) −3.83684 + 0.527881i −0.990668 + 0.136298i
\(16\) 0.939693 + 0.342020i 0.234923 + 0.0855050i
\(17\) 0.249112 2.84737i 0.0604186 0.690588i −0.904230 0.427047i \(-0.859554\pi\)
0.964648 0.263541i \(-0.0848905\pi\)
\(18\) 1.83318 2.37475i 0.432085 0.559734i
\(19\) −4.19757 + 1.17490i −0.962989 + 0.269540i
\(20\) −2.16806 + 0.547268i −0.484794 + 0.122373i
\(21\) 1.71404 + 0.0398880i 0.374034 + 0.00870427i
\(22\) −0.823385 1.76575i −0.175546 0.376460i
\(23\) −2.28307 + 1.59862i −0.476053 + 0.333336i −0.786854 0.617139i \(-0.788292\pi\)
0.310801 + 0.950475i \(0.399403\pi\)
\(24\) 0.900689 1.47945i 0.183852 0.301991i
\(25\) 3.32396 3.73514i 0.664792 0.747028i
\(26\) −5.19386 2.99868i −1.01860 0.588089i
\(27\) −3.40903 3.92155i −0.656068 0.754702i
\(28\) 0.986102 0.0862727i 0.186356 0.0163040i
\(29\) −0.831703 0.697882i −0.154443 0.129593i 0.562292 0.826939i \(-0.309920\pi\)
−0.716735 + 0.697346i \(0.754364\pi\)
\(30\) 0.191470 + 3.86825i 0.0349574 + 0.706242i
\(31\) 0.207050 0.358622i 0.0371873 0.0644104i −0.846833 0.531859i \(-0.821494\pi\)
0.884020 + 0.467449i \(0.154827\pi\)
\(32\) 0.422618 0.906308i 0.0747091 0.160214i
\(33\) −3.27900 + 0.797326i −0.570800 + 0.138797i
\(34\) −2.81482 0.496329i −0.482738 0.0851197i
\(35\) −1.71608 + 1.39795i −0.290071 + 0.236296i
\(36\) −2.20594 2.03318i −0.367657 0.338863i
\(37\) −6.98105 6.98105i −1.14768 1.14768i −0.987008 0.160670i \(-0.948634\pi\)
−0.160670 0.987008i \(-0.551366\pi\)
\(38\) 0.804584 + 4.28400i 0.130521 + 0.694956i
\(39\) −6.86042 + 7.79996i −1.09855 + 1.24899i
\(40\) 0.356226 + 2.20751i 0.0563243 + 0.349038i
\(41\) 0.231277 0.635428i 0.0361194 0.0992372i −0.920322 0.391162i \(-0.872073\pi\)
0.956441 + 0.291924i \(0.0942956\pi\)
\(42\) 0.189124 1.70404i 0.0291825 0.262939i
\(43\) −0.540510 0.378469i −0.0824270 0.0577160i 0.531637 0.846973i \(-0.321577\pi\)
−0.614064 + 0.789257i \(0.710466\pi\)
\(44\) −1.83080 + 0.666356i −0.276003 + 0.100457i
\(45\) 6.63453 + 0.991467i 0.989017 + 0.147799i
\(46\) 1.39356 + 2.41371i 0.205469 + 0.355882i
\(47\) 9.29672 0.813358i 1.35607 0.118640i 0.614180 0.789166i \(-0.289487\pi\)
0.741886 + 0.670526i \(0.233931\pi\)
\(48\) −1.39532 1.02620i −0.201397 0.148120i
\(49\) −5.21361 + 3.01008i −0.744802 + 0.430011i
\(50\) −3.43123 3.63685i −0.485249 0.514328i
\(51\) −1.80099 + 4.61141i −0.252188 + 0.645727i
\(52\) −3.43994 + 4.91274i −0.477034 + 0.681275i
\(53\) −7.05061 + 4.93689i −0.968476 + 0.678134i −0.946865 0.321632i \(-0.895768\pi\)
−0.0216112 + 0.999766i \(0.506880\pi\)
\(54\) −4.20374 + 3.05427i −0.572057 + 0.415634i
\(55\) 2.55043 3.53194i 0.343899 0.476246i
\(56\) 0.989869i 0.132277i
\(57\) 7.54928 + 0.0917376i 0.999926 + 0.0121509i
\(58\) −0.767714 + 0.767714i −0.100806 + 0.100806i
\(59\) −0.996800 + 0.836415i −0.129772 + 0.108892i −0.705364 0.708846i \(-0.749216\pi\)
0.575591 + 0.817737i \(0.304772\pi\)
\(60\) 3.87022 + 0.146399i 0.499643 + 0.0189000i
\(61\) 1.19209 6.76066i 0.152631 0.865613i −0.808289 0.588786i \(-0.799606\pi\)
0.960920 0.276827i \(-0.0892829\pi\)
\(62\) −0.339211 0.237518i −0.0430799 0.0301649i
\(63\) −2.82956 0.901190i −0.356491 0.113539i
\(64\) −0.866025 0.500000i −0.108253 0.0625000i
\(65\) 0.195008 13.4091i 0.0241877 1.66319i
\(66\) 0.508509 + 3.33601i 0.0625931 + 0.410635i
\(67\) −1.15572 13.2100i −0.141194 1.61386i −0.654782 0.755818i \(-0.727239\pi\)
0.513588 0.858037i \(-0.328316\pi\)
\(68\) −0.739768 + 2.76085i −0.0897100 + 0.334802i
\(69\) 4.57347 1.54509i 0.550582 0.186007i
\(70\) 1.24306 + 1.83139i 0.148574 + 0.218893i
\(71\) 8.83250 1.55741i 1.04822 0.184830i 0.377098 0.926173i \(-0.376922\pi\)
0.671126 + 0.741343i \(0.265811\pi\)
\(72\) −2.21770 + 2.02035i −0.261359 + 0.238100i
\(73\) 5.75154 2.68199i 0.673167 0.313903i −0.0558096 0.998441i \(-0.517774\pi\)
0.728977 + 0.684538i \(0.239996\pi\)
\(74\) −7.56293 + 6.34605i −0.879173 + 0.737713i
\(75\) −7.34427 + 4.58930i −0.848043 + 0.529927i
\(76\) 4.33782 0.428147i 0.497582 0.0491119i
\(77\) −1.36369 + 1.36369i −0.155407 + 0.155407i
\(78\) 7.17235 + 7.51413i 0.812109 + 0.850807i
\(79\) −3.54991 + 9.75331i −0.399396 + 1.09733i 0.563183 + 0.826332i \(0.309577\pi\)
−0.962579 + 0.271000i \(0.912646\pi\)
\(80\) 2.23016 0.162474i 0.249339 0.0181651i
\(81\) 3.75617 + 8.17870i 0.417353 + 0.908745i
\(82\) −0.612853 0.285778i −0.0676783 0.0315589i
\(83\) 6.81831 1.82696i 0.748407 0.200535i 0.135596 0.990764i \(-0.456705\pi\)
0.612811 + 0.790229i \(0.290039\pi\)
\(84\) −1.68107 0.336922i −0.183420 0.0367612i
\(85\) −2.09836 6.03694i −0.227600 0.654798i
\(86\) −0.424137 + 0.505467i −0.0457359 + 0.0545059i
\(87\) 1.04249 + 1.56510i 0.111766 + 0.167796i
\(88\) 0.504256 + 1.88191i 0.0537538 + 0.200612i
\(89\) 15.9299 5.79801i 1.68857 0.614588i 0.694123 0.719856i \(-0.255792\pi\)
0.994444 + 0.105268i \(0.0335700\pi\)
\(90\) 1.56593 6.52287i 0.165064 0.687571i
\(91\) −1.03088 + 5.84640i −0.108065 + 0.612869i
\(92\) 2.52598 1.17788i 0.263352 0.122803i
\(93\) −0.518830 + 0.495231i −0.0538001 + 0.0513531i
\(94\) 9.33223i 0.962547i
\(95\) −7.48790 + 6.23950i −0.768242 + 0.640159i
\(96\) −1.14391 + 1.30057i −0.116750 + 0.132739i
\(97\) −10.1176 0.885172i −1.02728 0.0898756i −0.438964 0.898505i \(-0.644654\pi\)
−0.588319 + 0.808629i \(0.700210\pi\)
\(98\) 2.54423 + 5.45612i 0.257006 + 0.551151i
\(99\) 5.83856 + 0.271889i 0.586797 + 0.0273259i
\(100\) −3.92206 + 3.10120i −0.392206 + 0.310120i
\(101\) 5.27281 + 14.4869i 0.524664 + 1.44150i 0.865275 + 0.501298i \(0.167144\pi\)
−0.340611 + 0.940204i \(0.610634\pi\)
\(102\) 4.43690 + 2.19604i 0.439318 + 0.217441i
\(103\) 0.0930424 + 0.0249306i 0.00916774 + 0.00245649i 0.263400 0.964687i \(-0.415156\pi\)
−0.254232 + 0.967143i \(0.581823\pi\)
\(104\) 4.59424 + 3.85502i 0.450502 + 0.378016i
\(105\) 3.53331 1.48771i 0.344816 0.145186i
\(106\) 4.30360 + 7.45406i 0.418003 + 0.724002i
\(107\) −1.51693 5.66126i −0.146647 0.547295i −0.999677 0.0254320i \(-0.991904\pi\)
0.853029 0.521863i \(-0.174763\pi\)
\(108\) 2.67627 + 4.45394i 0.257524 + 0.428581i
\(109\) 10.3517 1.82529i 0.991518 0.174831i 0.345718 0.938338i \(-0.387635\pi\)
0.645799 + 0.763507i \(0.276524\pi\)
\(110\) −3.29621 2.84855i −0.314282 0.271598i
\(111\) 8.20316 + 15.0040i 0.778610 + 1.42411i
\(112\) −0.986102 0.0862727i −0.0931779 0.00815201i
\(113\) 9.80637 + 9.80637i 0.922506 + 0.922506i 0.997206 0.0747004i \(-0.0238000\pi\)
−0.0747004 + 0.997206i \(0.523800\pi\)
\(114\) 0.749351 7.51255i 0.0701832 0.703615i
\(115\) −3.19424 + 5.35134i −0.297864 + 0.499015i
\(116\) 0.697882 + 0.831703i 0.0647967 + 0.0772217i
\(117\) 15.2023 9.62307i 1.40546 0.889653i
\(118\) 0.746355 + 1.06591i 0.0687075 + 0.0981245i
\(119\) 0.491300 + 2.78630i 0.0450374 + 0.255420i
\(120\) 0.483153 3.84273i 0.0441057 0.350792i
\(121\) −3.60207 + 6.23898i −0.327461 + 0.567180i
\(122\) −6.63103 1.77678i −0.600346 0.160862i
\(123\) −0.693927 + 0.943524i −0.0625693 + 0.0850747i
\(124\) −0.266179 + 0.317220i −0.0239036 + 0.0284872i
\(125\) 3.36191 10.6629i 0.300699 0.953719i
\(126\) −1.14437 + 2.74025i −0.101949 + 0.244121i
\(127\) 13.0867 + 6.10243i 1.16126 + 0.541503i 0.905128 0.425140i \(-0.139775\pi\)
0.256129 + 0.966643i \(0.417553\pi\)
\(128\) −0.573576 + 0.819152i −0.0506975 + 0.0724035i
\(129\) 0.714060 + 0.892349i 0.0628695 + 0.0785670i
\(130\) −13.3411 1.36294i −1.17009 0.119538i
\(131\) 1.84166 + 2.19480i 0.160906 + 0.191761i 0.840474 0.541853i \(-0.182277\pi\)
−0.679567 + 0.733613i \(0.737832\pi\)
\(132\) 3.36764 0.215821i 0.293115 0.0187848i
\(133\) 3.71246 2.19877i 0.321911 0.190658i
\(134\) −13.2604 −1.14553
\(135\) −10.5447 4.87958i −0.907539 0.419967i
\(136\) 2.68587 + 0.977577i 0.230312 + 0.0838265i
\(137\) 6.76863 + 9.66661i 0.578283 + 0.825874i 0.996597 0.0824285i \(-0.0262676\pi\)
−0.418314 + 0.908303i \(0.637379\pi\)
\(138\) −1.14061 4.69073i −0.0970949 0.399302i
\(139\) 1.70250 + 4.67758i 0.144404 + 0.396747i 0.990717 0.135939i \(-0.0434050\pi\)
−0.846313 + 0.532686i \(0.821183\pi\)
\(140\) 1.93276 1.07872i 0.163348 0.0911681i
\(141\) −15.8487 3.17641i −1.33470 0.267502i
\(142\) −0.781678 8.93462i −0.0655970 0.749777i
\(143\) −1.01838 11.6401i −0.0851613 0.973398i
\(144\) 1.81937 + 2.38535i 0.151614 + 0.198779i
\(145\) −2.33562 0.662375i −0.193962 0.0550072i
\(146\) −2.17050 5.96341i −0.179632 0.493535i
\(147\) 10.1320 2.46371i 0.835672 0.203203i
\(148\) 5.66275 + 8.08724i 0.465475 + 0.664767i
\(149\) 8.46674 + 3.08164i 0.693622 + 0.252458i 0.664685 0.747123i \(-0.268566\pi\)
0.0289370 + 0.999581i \(0.490788\pi\)
\(150\) 3.93174 + 7.71631i 0.321025 + 0.630034i
\(151\) −18.9891 −1.54531 −0.772656 0.634824i \(-0.781072\pi\)
−0.772656 + 0.634824i \(0.781072\pi\)
\(152\) −0.0484520 4.35863i −0.00392998 0.353532i
\(153\) 5.23968 6.78762i 0.423603 0.548747i
\(154\) 1.23965 + 1.47736i 0.0998940 + 0.119049i
\(155\) 0.0941075 0.921163i 0.00755889 0.0739896i
\(156\) 8.11064 6.49016i 0.649371 0.519629i
\(157\) −6.89192 + 9.84268i −0.550035 + 0.785531i −0.993867 0.110579i \(-0.964730\pi\)
0.443833 + 0.896110i \(0.353619\pi\)
\(158\) 9.40680 + 4.38646i 0.748365 + 0.348968i
\(159\) 14.1239 4.77158i 1.12010 0.378411i
\(160\) 0.0325156 2.23583i 0.00257059 0.176758i
\(161\) 1.77337 2.11342i 0.139761 0.166561i
\(162\) 8.47495 3.02906i 0.665855 0.237985i
\(163\) 4.87656 + 1.30667i 0.381962 + 0.102346i 0.444691 0.895684i \(-0.353314\pi\)
−0.0627289 + 0.998031i \(0.519980\pi\)
\(164\) −0.338104 + 0.585614i −0.0264015 + 0.0457287i
\(165\) −5.95956 + 4.62833i −0.463951 + 0.360315i
\(166\) −1.22575 6.95160i −0.0951370 0.539549i
\(167\) −9.62203 13.7417i −0.744575 1.06336i −0.995445 0.0953423i \(-0.969605\pi\)
0.250870 0.968021i \(-0.419283\pi\)
\(168\) −0.482155 + 1.64531i −0.0371990 + 0.126938i
\(169\) −14.7637 17.5947i −1.13567 1.35344i
\(170\) −6.19685 + 1.56423i −0.475277 + 0.119971i
\(171\) −12.5033 3.82966i −0.956155 0.292861i
\(172\) 0.466578 + 0.466578i 0.0355762 + 0.0355762i
\(173\) 14.1724 + 1.23993i 1.07751 + 0.0942698i 0.612065 0.790807i \(-0.290339\pi\)
0.465444 + 0.885077i \(0.345895\pi\)
\(174\) 1.65000 0.902111i 0.125086 0.0683888i
\(175\) −2.22124 + 4.42291i −0.167910 + 0.334340i
\(176\) 1.91870 0.338318i 0.144627 0.0255017i
\(177\) 2.06424 0.904716i 0.155158 0.0680026i
\(178\) −4.38757 16.3746i −0.328862 1.22733i
\(179\) −11.9567 20.7095i −0.893682 1.54790i −0.835427 0.549601i \(-0.814780\pi\)
−0.0582551 0.998302i \(-0.518554\pi\)
\(180\) −6.36157 2.12848i −0.474163 0.158647i
\(181\) 13.2459 + 11.1147i 0.984563 + 0.826147i 0.984772 0.173853i \(-0.0556219\pi\)
−0.000208366 1.00000i \(0.500066\pi\)
\(182\) 5.73431 + 1.53650i 0.425055 + 0.113893i
\(183\) −5.27447 + 10.6566i −0.389900 + 0.787757i
\(184\) −0.953248 2.61903i −0.0702744 0.193077i
\(185\) −20.6327 7.85131i −1.51695 0.577240i
\(186\) 0.448128 + 0.560018i 0.0328583 + 0.0410625i
\(187\) −2.35343 5.04696i −0.172100 0.369070i
\(188\) −9.29672 0.813358i −0.678033 0.0593202i
\(189\) 4.26420 + 2.87616i 0.310175 + 0.209210i
\(190\) 5.56314 + 8.00321i 0.403593 + 0.580614i
\(191\) 1.77826i 0.128671i 0.997928 + 0.0643354i \(0.0204927\pi\)
−0.997928 + 0.0643354i \(0.979507\pi\)
\(192\) 1.19592 + 1.25291i 0.0863081 + 0.0904208i
\(193\) −6.51188 + 3.03654i −0.468735 + 0.218575i −0.642611 0.766193i \(-0.722149\pi\)
0.173876 + 0.984768i \(0.444371\pi\)
\(194\) −1.76361 + 10.0019i −0.126620 + 0.718096i
\(195\) −6.85555 + 22.1929i −0.490936 + 1.58927i
\(196\) 5.65710 2.05902i 0.404079 0.147073i
\(197\) −0.610076 2.27684i −0.0434661 0.162218i 0.940781 0.339014i \(-0.110093\pi\)
−0.984248 + 0.176796i \(0.943427\pi\)
\(198\) 0.779718 5.79264i 0.0554122 0.411665i
\(199\) −4.03872 + 4.81316i −0.286298 + 0.341196i −0.889956 0.456047i \(-0.849265\pi\)
0.603658 + 0.797243i \(0.293709\pi\)
\(200\) 2.74757 + 4.17743i 0.194282 + 0.295389i
\(201\) −4.51346 + 22.5199i −0.318355 + 1.58843i
\(202\) 14.8914 3.99013i 1.04775 0.280744i
\(203\) 0.974020 + 0.454193i 0.0683628 + 0.0318781i
\(204\) 2.57439 4.22862i 0.180243 0.296062i
\(205\) −0.109866 1.50805i −0.00767338 0.105327i
\(206\) 0.0329449 0.0905155i 0.00229538 0.00630651i
\(207\) −8.35440 + 0.340482i −0.580671 + 0.0236651i
\(208\) 4.24077 4.24077i 0.294044 0.294044i
\(209\) −5.93793 + 6.07143i −0.410735 + 0.419969i
\(210\) −1.17410 3.64953i −0.0810209 0.251842i
\(211\) 11.3522 9.52562i 0.781517 0.655770i −0.162113 0.986772i \(-0.551831\pi\)
0.943630 + 0.331002i \(0.107387\pi\)
\(212\) 7.80078 3.63756i 0.535760 0.249829i
\(213\) −15.4395 1.71357i −1.05790 0.117412i
\(214\) −5.77193 + 1.01775i −0.394561 + 0.0695717i
\(215\) −1.44915 0.277311i −0.0988315 0.0189125i
\(216\) 4.67024 2.27790i 0.317770 0.154991i
\(217\) −0.106091 + 0.395938i −0.00720195 + 0.0268780i
\(218\) −0.916132 10.4714i −0.0620483 0.709216i
\(219\) −10.8663 + 1.65635i −0.734276 + 0.111926i
\(220\) −3.12499 + 3.03540i −0.210687 + 0.204647i
\(221\) −14.8453 8.57095i −0.998604 0.576544i
\(222\) 15.6618 6.86427i 1.05115 0.460699i
\(223\) 14.0901 + 9.86602i 0.943546 + 0.660678i 0.940672 0.339318i \(-0.110196\pi\)
0.00287403 + 0.999996i \(0.499085\pi\)
\(224\) −0.171889 + 0.974830i −0.0114848 + 0.0651336i
\(225\) 14.4427 4.05079i 0.962846 0.270053i
\(226\) 10.6237 8.91437i 0.706680 0.592975i
\(227\) −17.2331 + 17.2331i −1.14380 + 1.14380i −0.156051 + 0.987749i \(0.549876\pi\)
−0.987749 + 0.156051i \(0.950124\pi\)
\(228\) −7.41866 1.40126i −0.491313 0.0928008i
\(229\) 8.52084i 0.563073i −0.959551 0.281536i \(-0.909156\pi\)
0.959551 0.281536i \(-0.0908440\pi\)
\(230\) 5.05258 + 3.64848i 0.333157 + 0.240574i
\(231\) 2.93091 1.60242i 0.192840 0.105432i
\(232\) 0.889363 0.622739i 0.0583895 0.0408848i
\(233\) −11.4867 + 16.4047i −0.752518 + 1.07471i 0.242013 + 0.970273i \(0.422192\pi\)
−0.994532 + 0.104435i \(0.966697\pi\)
\(234\) −8.26148 15.9832i −0.540070 1.04485i
\(235\) 18.2216 10.1699i 1.18865 0.663409i
\(236\) 1.12690 0.650615i 0.0733548 0.0423514i
\(237\) 10.6512 14.4823i 0.691871 0.940729i
\(238\) 2.81852 0.246589i 0.182698 0.0159840i
\(239\) 8.58302 + 14.8662i 0.555190 + 0.961617i 0.997889 + 0.0649463i \(0.0206876\pi\)
−0.442699 + 0.896670i \(0.645979\pi\)
\(240\) −3.78600 0.816231i −0.244385 0.0526875i
\(241\) −3.85394 + 1.40272i −0.248254 + 0.0903571i −0.463150 0.886280i \(-0.653281\pi\)
0.214896 + 0.976637i \(0.431059\pi\)
\(242\) 5.90129 + 4.13213i 0.379350 + 0.265623i
\(243\) −2.25957 15.4238i −0.144951 0.989439i
\(244\) −2.34795 + 6.45094i −0.150312 + 0.412979i
\(245\) −7.88072 + 10.9136i −0.503481 + 0.697242i
\(246\) 0.879454 + 0.773520i 0.0560719 + 0.0493178i
\(247\) −4.25304 + 25.7936i −0.270614 + 1.64121i
\(248\) 0.292813 + 0.292813i 0.0185937 + 0.0185937i
\(249\) −12.2230 0.284444i −0.774598 0.0180259i
\(250\) −10.3293 4.27845i −0.653283 0.270593i
\(251\) 11.9820 + 2.11275i 0.756297 + 0.133356i 0.538485 0.842635i \(-0.318997\pi\)
0.217812 + 0.975991i \(0.430108\pi\)
\(252\) 2.63008 + 1.37885i 0.165680 + 0.0868592i
\(253\) −2.29487 + 4.92135i −0.144277 + 0.309403i
\(254\) 7.21978 12.5050i 0.453010 0.784636i
\(255\) 0.547267 + 11.0564i 0.0342712 + 0.692378i
\(256\) 0.766044 + 0.642788i 0.0478778 + 0.0401742i
\(257\) −6.04376 + 0.528760i −0.376999 + 0.0329832i −0.274081 0.961707i \(-0.588374\pi\)
−0.102918 + 0.994690i \(0.532818\pi\)
\(258\) 0.951188 0.633570i 0.0592184 0.0394443i
\(259\) 8.46339 + 4.88634i 0.525889 + 0.303622i
\(260\) −2.52051 + 13.1715i −0.156315 + 0.816861i
\(261\) −0.970424 3.10921i −0.0600677 0.192455i
\(262\) 2.34696 1.64336i 0.144996 0.101527i
\(263\) −5.44933 11.6861i −0.336020 0.720598i 0.663602 0.748086i \(-0.269027\pi\)
−0.999622 + 0.0274880i \(0.991249\pi\)
\(264\) 0.0785089 3.37363i 0.00483189 0.207633i
\(265\) −9.86450 + 16.5261i −0.605972 + 1.01519i
\(266\) −1.86684 3.88997i −0.114463 0.238509i
\(267\) −29.3021 + 1.87788i −1.79326 + 0.114924i
\(268\) −1.15572 + 13.2100i −0.0705970 + 0.806928i
\(269\) −3.57049 1.29955i −0.217697 0.0792351i 0.230869 0.972985i \(-0.425843\pi\)
−0.448566 + 0.893750i \(0.648065\pi\)
\(270\) −5.78004 + 10.0792i −0.351762 + 0.613403i
\(271\) 0.469395 + 2.66207i 0.0285137 + 0.161709i 0.995740 0.0922072i \(-0.0293922\pi\)
−0.967226 + 0.253917i \(0.918281\pi\)
\(272\) 1.20795 2.59045i 0.0732425 0.157069i
\(273\) 4.56120 9.21547i 0.276056 0.557746i
\(274\) 10.2198 5.90038i 0.617398 0.356455i
\(275\) 1.96985 9.54023i 0.118786 0.575297i
\(276\) −4.77230 + 0.727442i −0.287258 + 0.0437869i
\(277\) 2.13084 7.95241i 0.128030 0.477814i −0.871900 0.489685i \(-0.837112\pi\)
0.999930 + 0.0118706i \(0.00377863\pi\)
\(278\) 4.80816 1.28834i 0.288374 0.0772697i
\(279\) 1.10360 0.570432i 0.0660705 0.0341509i
\(280\) −0.906160 2.01942i −0.0541534 0.120684i
\(281\) 5.75773 + 1.01524i 0.343477 + 0.0605643i 0.342726 0.939435i \(-0.388650\pi\)
0.000751340 1.00000i \(0.499761\pi\)
\(282\) −4.54563 + 15.5116i −0.270689 + 0.923701i
\(283\) −1.30076 + 14.8678i −0.0773224 + 0.883799i 0.854160 + 0.520011i \(0.174072\pi\)
−0.931482 + 0.363788i \(0.881483\pi\)
\(284\) −8.96875 −0.532198
\(285\) 15.4852 6.72371i 0.917265 0.398278i
\(286\) −11.6846 −0.690925
\(287\) −0.0583383 + 0.666810i −0.00344360 + 0.0393606i
\(288\) 2.53484 1.60455i 0.149367 0.0945491i
\(289\) 8.69629 + 1.53339i 0.511546 + 0.0901994i
\(290\) −0.863417 + 2.26900i −0.0507016 + 0.133240i
\(291\) 16.3858 + 6.39945i 0.960550 + 0.375142i
\(292\) −6.12989 + 1.64250i −0.358724 + 0.0961199i
\(293\) −4.10815 + 15.3318i −0.240001 + 0.895695i 0.735830 + 0.677166i \(0.236792\pi\)
−0.975831 + 0.218528i \(0.929874\pi\)
\(294\) −1.57127 10.3082i −0.0916386 0.601184i
\(295\) −1.26788 + 2.61887i −0.0738190 + 0.152476i
\(296\) 8.55001 4.93635i 0.496959 0.286920i
\(297\) −9.57212 3.29582i −0.555431 0.191243i
\(298\) 3.80784 8.16594i 0.220582 0.473040i
\(299\) 2.90258 + 16.4614i 0.167861 + 0.951985i
\(300\) 8.02962 3.24426i 0.463590 0.187307i
\(301\) 0.613765 + 0.223392i 0.0353769 + 0.0128761i
\(302\) −1.65501 + 18.9169i −0.0952352 + 1.08854i
\(303\) −1.70777 26.6478i −0.0981089 1.53087i
\(304\) −4.34627 0.331612i −0.249275 0.0190192i
\(305\) −3.75697 14.8836i −0.215123 0.852235i
\(306\) −6.30512 5.81132i −0.360440 0.332211i
\(307\) 12.6496 + 27.1272i 0.721952 + 1.54823i 0.832293 + 0.554337i \(0.187028\pi\)
−0.110341 + 0.993894i \(0.535194\pi\)
\(308\) 1.57978 1.10617i 0.0900163 0.0630301i
\(309\) −0.142507 0.0867584i −0.00810694 0.00493551i
\(310\) −0.909455 0.174034i −0.0516536 0.00988447i
\(311\) −20.0600 11.5817i −1.13750 0.656735i −0.191689 0.981456i \(-0.561396\pi\)
−0.945810 + 0.324721i \(0.894730\pi\)
\(312\) −5.75857 8.64544i −0.326015 0.489451i
\(313\) −6.29186 + 0.550466i −0.355637 + 0.0311142i −0.263575 0.964639i \(-0.584901\pi\)
−0.0920624 + 0.995753i \(0.529346\pi\)
\(314\) 9.20455 + 7.72354i 0.519443 + 0.435864i
\(315\) −6.59755 + 0.751765i −0.371730 + 0.0423571i
\(316\) 5.18963 8.98870i 0.291939 0.505654i
\(317\) 1.05257 2.25724i 0.0591181 0.126779i −0.874529 0.484973i \(-0.838829\pi\)
0.933647 + 0.358194i \(0.116607\pi\)
\(318\) −3.52244 14.4860i −0.197529 0.812335i
\(319\) −2.08315 0.367316i −0.116634 0.0205657i
\(320\) −2.22449 0.227257i −0.124353 0.0127041i
\(321\) −0.236175 + 10.1488i −0.0131820 + 0.566448i
\(322\) −1.95082 1.95082i −0.108715 0.108715i
\(323\) 2.29970 + 12.2447i 0.127959 + 0.681314i
\(324\) −2.27889 8.70670i −0.126605 0.483706i
\(325\) −11.8773 27.5343i −0.658833 1.52733i
\(326\) 1.72672 4.74412i 0.0956341 0.262752i
\(327\) −18.0952 2.00832i −1.00067 0.111060i
\(328\) 0.553917 + 0.387857i 0.0305850 + 0.0214158i
\(329\) −8.68059 + 3.15948i −0.478576 + 0.174188i
\(330\) 4.09130 + 6.34027i 0.225219 + 0.349020i
\(331\) −15.9880 27.6920i −0.878779 1.52209i −0.852682 0.522430i \(-0.825026\pi\)
−0.0260966 0.999659i \(-0.508308\pi\)
\(332\) −7.03197 + 0.615218i −0.385930 + 0.0337645i
\(333\) −6.32662 28.9345i −0.346697 1.58560i
\(334\) −14.5280 + 8.38775i −0.794937 + 0.458957i
\(335\) −14.4506 25.8916i −0.789523 1.41461i
\(336\) 1.59703 + 0.623718i 0.0871250 + 0.0340266i
\(337\) 4.22875 6.03928i 0.230354 0.328980i −0.687290 0.726383i \(-0.741200\pi\)
0.917644 + 0.397403i \(0.130089\pi\)
\(338\) −18.8145 + 13.1740i −1.02337 + 0.716574i
\(339\) −11.5231 21.0762i −0.625848 1.14470i
\(340\) 1.01818 + 6.30960i 0.0552187 + 0.342186i
\(341\) 0.806790i 0.0436901i
\(342\) −4.90482 + 12.1220i −0.265222 + 0.655482i
\(343\) 9.11337 9.11337i 0.492076 0.492076i
\(344\) 0.505467 0.424137i 0.0272530 0.0228680i
\(345\) 7.91589 7.33884i 0.426177 0.395110i
\(346\) 2.47042 14.0104i 0.132810 0.753205i
\(347\) 21.9095 + 15.3412i 1.17616 + 0.823558i 0.987366 0.158458i \(-0.0506521\pi\)
0.188798 + 0.982016i \(0.439541\pi\)
\(348\) −0.754871 1.72235i −0.0404653 0.0923275i
\(349\) 21.7920 + 12.5816i 1.16650 + 0.673480i 0.952853 0.303431i \(-0.0981322\pi\)
0.213648 + 0.976911i \(0.431466\pi\)
\(350\) 4.21248 + 2.59827i 0.225167 + 0.138883i
\(351\) −29.9559 + 8.59008i −1.59893 + 0.458505i
\(352\) −0.169805 1.94088i −0.00905064 0.103449i
\(353\) −1.58505 + 5.91549i −0.0843638 + 0.314850i −0.995193 0.0979336i \(-0.968777\pi\)
0.910829 + 0.412784i \(0.135443\pi\)
\(354\) −0.721363 2.13524i −0.0383400 0.113487i
\(355\) 16.5934 11.2628i 0.880687 0.597769i
\(356\) −16.6947 + 2.94373i −0.884818 + 0.156017i
\(357\) 0.540564 4.87056i 0.0286097 0.257777i
\(358\) −21.6728 + 10.1062i −1.14544 + 0.534129i
\(359\) 8.35473 7.01045i 0.440946 0.369998i −0.395117 0.918631i \(-0.629296\pi\)
0.836063 + 0.548633i \(0.184852\pi\)
\(360\) −2.67483 + 6.15185i −0.140976 + 0.324231i
\(361\) 16.2392 9.86343i 0.854696 0.519128i
\(362\) 12.2268 12.2268i 0.642628 0.642628i
\(363\) 9.02613 8.61558i 0.473749 0.452201i
\(364\) 2.03043 5.57857i 0.106424 0.292397i
\(365\) 9.27850 10.7367i 0.485659 0.561983i
\(366\) 10.1563 + 6.18318i 0.530880 + 0.323200i
\(367\) −24.0552 11.2171i −1.25567 0.585529i −0.323048 0.946383i \(-0.604707\pi\)
−0.932622 + 0.360854i \(0.882485\pi\)
\(368\) −2.69214 + 0.721358i −0.140338 + 0.0376034i
\(369\) 1.61299 1.23027i 0.0839690 0.0640455i
\(370\) −9.61969 + 19.8699i −0.500104 + 1.03299i
\(371\) 5.47655 6.52670i 0.284328 0.338849i
\(372\) 0.596944 0.397614i 0.0309501 0.0206153i
\(373\) 4.92284 + 18.3723i 0.254895 + 0.951281i 0.968149 + 0.250375i \(0.0805540\pi\)
−0.713254 + 0.700906i \(0.752779\pi\)
\(374\) −5.23287 + 1.90461i −0.270585 + 0.0984849i
\(375\) −10.7818 + 16.0858i −0.556770 + 0.830667i
\(376\) −1.62053 + 9.19046i −0.0835722 + 0.473962i
\(377\) −5.90133 + 2.75183i −0.303934 + 0.141727i
\(378\) 3.23687 3.99730i 0.166487 0.205599i
\(379\) 30.1362i 1.54799i −0.633191 0.773995i \(-0.718255\pi\)
0.633191 0.773995i \(-0.281745\pi\)
\(380\) 8.45762 4.84445i 0.433867 0.248515i
\(381\) −18.7796 16.5175i −0.962109 0.846219i
\(382\) 1.77150 + 0.154986i 0.0906377 + 0.00792977i
\(383\) −1.72926 3.70840i −0.0883609 0.189491i 0.857161 0.515048i \(-0.172226\pi\)
−0.945522 + 0.325557i \(0.894448\pi\)
\(384\) 1.35237 1.08217i 0.0690129 0.0552243i
\(385\) −1.53369 + 4.03044i −0.0781642 + 0.205410i
\(386\) 2.45744 + 6.75175i 0.125080 + 0.343655i
\(387\) −0.752222 1.83103i −0.0382376 0.0930765i
\(388\) 9.81015 + 2.62862i 0.498035 + 0.133448i
\(389\) 6.57884 + 5.52031i 0.333561 + 0.279891i 0.794149 0.607723i \(-0.207917\pi\)
−0.460588 + 0.887614i \(0.652361\pi\)
\(390\) 21.5110 + 8.76370i 1.08925 + 0.443767i
\(391\) 3.98312 + 6.89897i 0.201435 + 0.348896i
\(392\) −1.55813 5.81503i −0.0786976 0.293703i
\(393\) −1.99205 4.54514i −0.100485 0.229272i
\(394\) −2.32134 + 0.409315i −0.116948 + 0.0206210i
\(395\) 1.68636 + 23.1474i 0.0848497 + 1.16467i
\(396\) −5.70264 1.28161i −0.286569 0.0644035i
\(397\) 30.0571 + 2.62965i 1.50852 + 0.131978i 0.811195 0.584776i \(-0.198818\pi\)
0.697326 + 0.716754i \(0.254373\pi\)
\(398\) 4.44285 + 4.44285i 0.222700 + 0.222700i
\(399\) −7.24167 + 1.84639i −0.362537 + 0.0924350i
\(400\) 4.40100 2.37302i 0.220050 0.118651i
\(401\) 14.1302 + 16.8397i 0.705630 + 0.840937i 0.993151 0.116837i \(-0.0372756\pi\)
−0.287521 + 0.957774i \(0.592831\pi\)
\(402\) 22.0408 + 6.45902i 1.09930 + 0.322147i
\(403\) −1.42448 2.03437i −0.0709585 0.101339i
\(404\) −2.67708 15.1824i −0.133189 0.755355i
\(405\) 15.1500 + 13.2468i 0.752810 + 0.658238i
\(406\) 0.537356 0.930728i 0.0266685 0.0461912i
\(407\) −18.5795 4.97837i −0.920952 0.246768i
\(408\) −3.98815 2.93314i −0.197443 0.145212i
\(409\) −21.9670 + 26.1793i −1.08620 + 1.29448i −0.133340 + 0.991070i \(0.542570\pi\)
−0.952860 + 0.303412i \(0.901874\pi\)
\(410\) −1.51189 0.0219873i −0.0746668 0.00108588i
\(411\) −6.54198 19.3643i −0.322692 0.955170i
\(412\) −0.0872997 0.0407085i −0.00430095 0.00200556i
\(413\) 0.738793 1.05511i 0.0363536 0.0519184i
\(414\) −0.388948 + 8.35228i −0.0191158 + 0.410492i
\(415\) 12.2375 9.96889i 0.600717 0.489353i
\(416\) −3.85502 4.59424i −0.189008 0.225251i
\(417\) −0.551410 8.60411i −0.0270027 0.421345i
\(418\) 5.53080 + 6.44449i 0.270520 + 0.315210i
\(419\) 39.1047 1.91039 0.955194 0.295979i \(-0.0956460\pi\)
0.955194 + 0.295979i \(0.0956460\pi\)
\(420\) −3.73797 + 0.851559i −0.182394 + 0.0415518i
\(421\) −18.0729 6.57799i −0.880818 0.320592i −0.138278 0.990393i \(-0.544157\pi\)
−0.742540 + 0.669802i \(0.766379\pi\)
\(422\) −8.49996 12.1392i −0.413772 0.590927i
\(423\) 24.7958 + 12.9994i 1.20561 + 0.632054i
\(424\) −2.94384 8.08813i −0.142965 0.392794i
\(425\) −9.80728 10.3950i −0.475723 0.504232i
\(426\) −3.05269 + 15.2314i −0.147904 + 0.737965i
\(427\) 0.592258 + 6.76954i 0.0286614 + 0.327601i
\(428\) 0.510817 + 5.83867i 0.0246913 + 0.282223i
\(429\) −3.97709 + 19.8437i −0.192016 + 0.958064i
\(430\) −0.402558 + 1.41947i −0.0194131 + 0.0684529i
\(431\) −4.32017 11.8696i −0.208095 0.571737i 0.791107 0.611678i \(-0.209505\pi\)
−0.999202 + 0.0399412i \(0.987283\pi\)
\(432\) −1.86219 4.85100i −0.0895947 0.233394i
\(433\) 6.76713 + 9.66447i 0.325208 + 0.464445i 0.948150 0.317823i \(-0.102952\pi\)
−0.622942 + 0.782268i \(0.714063\pi\)
\(434\) 0.385185 + 0.140196i 0.0184895 + 0.00672962i
\(435\) 3.55951 + 2.23862i 0.170666 + 0.107334i
\(436\) −10.5114 −0.503407
\(437\) 7.70513 9.39270i 0.368586 0.449314i
\(438\) 0.702989 + 10.9693i 0.0335901 + 0.524134i
\(439\) 20.9543 + 24.9724i 1.00010 + 1.19187i 0.981386 + 0.192044i \(0.0615115\pi\)
0.0187100 + 0.999825i \(0.494044\pi\)
\(440\) 2.75149 + 3.37765i 0.131172 + 0.161023i
\(441\) −18.0409 0.840128i −0.859092 0.0400061i
\(442\) −9.83219 + 14.0418i −0.467670 + 0.667901i
\(443\) −4.56049 2.12659i −0.216675 0.101037i 0.311250 0.950328i \(-0.399252\pi\)
−0.527926 + 0.849291i \(0.677030\pi\)
\(444\) −5.47313 16.2005i −0.259743 0.768841i
\(445\) 27.1908 26.4113i 1.28897 1.25201i
\(446\) 11.0565 13.1766i 0.523541 0.623932i
\(447\) −12.5720 9.24621i −0.594633 0.437331i
\(448\) 0.956140 + 0.256197i 0.0451734 + 0.0121042i
\(449\) 15.2377 26.3924i 0.719110 1.24554i −0.242242 0.970216i \(-0.577883\pi\)
0.961353 0.275320i \(-0.0887838\pi\)
\(450\) −2.77661 14.7408i −0.130891 0.694887i
\(451\) −0.228773 1.29744i −0.0107725 0.0610940i
\(452\) −7.95453 11.3602i −0.374150 0.534341i
\(453\) 31.5628 + 9.24940i 1.48295 + 0.434575i
\(454\) 15.6655 + 18.6695i 0.735220 + 0.876202i
\(455\) 3.24891 + 12.8709i 0.152311 + 0.603397i
\(456\) −2.04251 + 7.26830i −0.0956492 + 0.340369i
\(457\) −2.25517 2.25517i −0.105492 0.105492i 0.652391 0.757883i \(-0.273766\pi\)
−0.757883 + 0.652391i \(0.773766\pi\)
\(458\) −8.48841 0.742640i −0.396638 0.0347013i
\(459\) −12.0153 + 8.72985i −0.560827 + 0.407475i
\(460\) 4.07496 4.71536i 0.189996 0.219855i
\(461\) 22.0568 3.88920i 1.02729 0.181138i 0.365484 0.930817i \(-0.380903\pi\)
0.661801 + 0.749679i \(0.269792\pi\)
\(462\) −1.34088 3.05941i −0.0623834 0.142337i
\(463\) −3.58939 13.3958i −0.166813 0.622556i −0.997802 0.0662664i \(-0.978891\pi\)
0.830989 0.556289i \(-0.187775\pi\)
\(464\) −0.542856 0.940254i −0.0252014 0.0436502i
\(465\) −0.605110 + 1.48527i −0.0280613 + 0.0688779i
\(466\) 15.3411 + 12.8727i 0.710665 + 0.596318i
\(467\) 17.6671 + 4.73387i 0.817534 + 0.219057i 0.643268 0.765641i \(-0.277578\pi\)
0.174266 + 0.984699i \(0.444245\pi\)
\(468\) −16.6424 + 6.83701i −0.769295 + 0.316041i
\(469\) 4.48939 + 12.3345i 0.207301 + 0.569554i
\(470\) −8.54305 19.0386i −0.394061 0.878186i
\(471\) 16.2497 13.0030i 0.748745 0.599148i
\(472\) −0.549924 1.17931i −0.0253123 0.0542824i
\(473\) −1.28067 0.112044i −0.0588853 0.00515180i
\(474\) −13.4989 11.8729i −0.620025 0.545341i
\(475\) −9.56416 + 19.5838i −0.438834 + 0.898568i
\(476\) 2.82929i 0.129680i
\(477\) −25.8002 + 1.05148i −1.18131 + 0.0481440i
\(478\) 15.5577 7.25468i 0.711594 0.331822i
\(479\) −0.0425891 + 0.241535i −0.00194594 + 0.0110360i −0.985765 0.168127i \(-0.946228\pi\)
0.983819 + 0.179163i \(0.0573391\pi\)
\(480\) −1.14310 + 3.70045i −0.0521750 + 0.168902i
\(481\) −55.6393 + 20.2510i −2.53693 + 0.923368i
\(482\) 1.06149 + 3.96153i 0.0483495 + 0.180443i
\(483\) −3.97703 + 2.64903i −0.180961 + 0.120535i
\(484\) 4.63074 5.51870i 0.210488 0.250850i
\(485\) −21.4511 + 7.45613i −0.974044 + 0.338565i
\(486\) −15.5621 + 0.906694i −0.705910 + 0.0411285i
\(487\) −3.73107 + 0.999737i −0.169071 + 0.0453024i −0.342361 0.939568i \(-0.611227\pi\)
0.173290 + 0.984871i \(0.444560\pi\)
\(488\) 6.22176 + 2.90125i 0.281646 + 0.131334i
\(489\) −7.46911 4.54720i −0.337765 0.205632i
\(490\) 10.1852 + 8.80191i 0.460120 + 0.397630i
\(491\) 0.935546 2.57039i 0.0422206 0.116000i −0.916791 0.399368i \(-0.869230\pi\)
0.959011 + 0.283368i \(0.0914518\pi\)
\(492\) 0.847226 0.808691i 0.0381959 0.0364586i
\(493\) −2.19431 + 2.19431i −0.0988269 + 0.0988269i
\(494\) 25.3247 + 6.48491i 1.13941 + 0.291770i
\(495\) 12.1601 4.79013i 0.546556 0.215301i
\(496\) 0.317220 0.266179i 0.0142436 0.0119518i
\(497\) −8.04610 + 3.75196i −0.360917 + 0.168298i
\(498\) −1.34866 + 12.1517i −0.0604350 + 0.544528i
\(499\) 11.3962 2.00945i 0.510162 0.0899553i 0.0873588 0.996177i \(-0.472157\pi\)
0.422803 + 0.906222i \(0.361046\pi\)
\(500\) −5.16243 + 9.91712i −0.230871 + 0.443507i
\(501\) 9.29983 + 27.5275i 0.415486 + 1.22984i
\(502\) 3.14901 11.7523i 0.140547 0.524529i
\(503\) −1.17659 13.4484i −0.0524614 0.599637i −0.976237 0.216704i \(-0.930470\pi\)
0.923776 0.382933i \(-0.125086\pi\)
\(504\) 1.60283 2.49990i 0.0713956 0.111354i
\(505\) 24.0188 + 24.7278i 1.06882 + 1.10037i
\(506\) 4.70262 + 2.71506i 0.209057 + 0.120699i
\(507\) 15.9693 + 36.4363i 0.709222 + 1.61819i
\(508\) −11.8282 8.28220i −0.524792 0.367463i
\(509\) 3.19818 18.1378i 0.141757 0.803944i −0.828157 0.560496i \(-0.810610\pi\)
0.969914 0.243448i \(-0.0782784\pi\)
\(510\) 11.0620 + 0.418444i 0.489834 + 0.0185290i
\(511\) −4.81216 + 4.03788i −0.212878 + 0.178625i
\(512\) 0.707107 0.707107i 0.0312500 0.0312500i
\(513\) 18.9171 + 12.4557i 0.835209 + 0.549933i
\(514\) 6.06684i 0.267597i
\(515\) 0.212637 0.0343134i 0.00936993 0.00151203i
\(516\) −0.548257 1.00279i −0.0241357 0.0441453i
\(517\) 14.8938 10.4287i 0.655027 0.458655i
\(518\) 5.60538 8.00531i 0.246286 0.351733i
\(519\) −22.9527 8.96418i −1.00751 0.393484i
\(520\) 12.9017 + 3.65889i 0.565777 + 0.160453i
\(521\) 28.1545 16.2550i 1.23347 0.712144i 0.265718 0.964051i \(-0.414391\pi\)
0.967752 + 0.251907i \(0.0810576\pi\)
\(522\) −3.18196 + 0.695745i −0.139271 + 0.0304519i
\(523\) −43.2478 + 3.78369i −1.89109 + 0.165449i −0.972983 0.230876i \(-0.925841\pi\)
−0.918110 + 0.396325i \(0.870285\pi\)
\(524\) −1.43255 2.48126i −0.0625814 0.108394i
\(525\) 5.84639 6.26959i 0.255157 0.273627i
\(526\) −12.1166 + 4.41008i −0.528309 + 0.192289i
\(527\) −0.969549 0.678886i −0.0422342 0.0295727i
\(528\) −3.35395 0.372241i −0.145962 0.0161997i
\(529\) −5.20965 + 14.3134i −0.226507 + 0.622322i
\(530\) 15.6035 + 11.2673i 0.677771 + 0.489421i
\(531\) −3.87176 + 0.498304i −0.168020 + 0.0216245i
\(532\) −4.03787 + 1.52070i −0.175064 + 0.0659309i
\(533\) −2.86764 2.86764i −0.124211 0.124211i
\(534\) −0.683112 + 29.3542i −0.0295611 + 1.27028i
\(535\) −8.27719 10.1609i −0.357854 0.439292i
\(536\) 13.0590 + 2.30265i 0.564062 + 0.0994593i
\(537\) 9.78636 + 40.2463i 0.422313 + 1.73676i
\(538\) −1.60580 + 3.44364i −0.0692308 + 0.148466i
\(539\) −5.86452 + 10.1576i −0.252603 + 0.437521i
\(540\) 9.53713 + 6.63651i 0.410413 + 0.285590i
\(541\) 6.27431 + 5.26477i 0.269754 + 0.226350i 0.767623 0.640902i \(-0.221439\pi\)
−0.497869 + 0.867252i \(0.665884\pi\)
\(542\) 2.69285 0.235594i 0.115668 0.0101196i
\(543\) −16.6029 24.9262i −0.712499 1.06969i
\(544\) −2.47531 1.42912i −0.106128 0.0612731i
\(545\) 19.4476 13.2001i 0.833044 0.565431i
\(546\) −8.78287 5.34702i −0.375872 0.228831i
\(547\) −12.4039 + 8.68530i −0.530352 + 0.371357i −0.807867 0.589365i \(-0.799378\pi\)
0.277515 + 0.960721i \(0.410489\pi\)
\(548\) −4.98721 10.6951i −0.213043 0.456873i
\(549\) 13.9577 15.1437i 0.595699 0.646317i
\(550\) −9.33224 2.79384i −0.397928 0.119130i
\(551\) 4.31107 + 1.95224i 0.183658 + 0.0831684i
\(552\) 0.308741 + 4.81754i 0.0131409 + 0.205048i
\(553\) 0.895446 10.2350i 0.0380783 0.435236i
\(554\) −7.73643 2.81583i −0.328689 0.119633i
\(555\) 30.4704 + 23.1000i 1.29339 + 0.980541i
\(556\) −0.864381 4.90215i −0.0366579 0.207897i
\(557\) −16.6924 + 35.7970i −0.707280 + 1.51677i 0.142595 + 0.989781i \(0.454455\pi\)
−0.849874 + 0.526985i \(0.823322\pi\)
\(558\) −0.472077 1.14911i −0.0199846 0.0486458i
\(559\) −3.42712 + 1.97865i −0.144952 + 0.0836879i
\(560\) −2.09072 + 0.726707i −0.0883489 + 0.0307090i
\(561\) 1.45344 + 9.53513i 0.0613644 + 0.402574i
\(562\) 1.51320 5.64734i 0.0638305 0.238219i
\(563\) 37.0977 9.94029i 1.56348 0.418933i 0.629717 0.776824i \(-0.283171\pi\)
0.933763 + 0.357891i \(0.116504\pi\)
\(564\) 15.0564 + 5.88026i 0.633988 + 0.247604i
\(565\) 28.9830 + 11.0288i 1.21932 + 0.463986i
\(566\) 14.6979 + 2.59163i 0.617797 + 0.108934i
\(567\) −5.68679 6.85766i −0.238823 0.287995i
\(568\) −0.781678 + 8.93462i −0.0327985 + 0.374888i
\(569\) −34.6147 −1.45112 −0.725561 0.688158i \(-0.758420\pi\)
−0.725561 + 0.688158i \(0.758420\pi\)
\(570\) −5.34850 16.0123i −0.224024 0.670681i
\(571\) −17.4318 −0.729498 −0.364749 0.931106i \(-0.618845\pi\)
−0.364749 + 0.931106i \(0.618845\pi\)
\(572\) −1.01838 + 11.6401i −0.0425806 + 0.486699i
\(573\) 0.866174 2.95574i 0.0361849 0.123478i
\(574\) 0.659188 + 0.116233i 0.0275140 + 0.00485146i
\(575\) −1.61775 + 13.8413i −0.0674649 + 0.577224i
\(576\) −1.37752 2.66504i −0.0573967 0.111043i
\(577\) 35.4567 9.50061i 1.47608 0.395515i 0.571071 0.820901i \(-0.306528\pi\)
0.905012 + 0.425385i \(0.139861\pi\)
\(578\) 2.28549 8.52955i 0.0950637 0.354783i
\(579\) 12.3028 1.87532i 0.511286 0.0779355i
\(580\) 2.18511 + 1.05789i 0.0907319 + 0.0439264i
\(581\) −6.05120 + 3.49366i −0.251046 + 0.144941i
\(582\) 7.80321 15.7657i 0.323453 0.653507i
\(583\) −7.08704 + 15.1982i −0.293515 + 0.629446i
\(584\) 1.10199 + 6.24971i 0.0456008 + 0.258615i
\(585\) 22.2049 33.5487i 0.918059 1.38707i
\(586\) 14.9154 + 5.42877i 0.616151 + 0.224261i
\(587\) 1.58604 18.1285i 0.0654629 0.748245i −0.890543 0.454899i \(-0.849676\pi\)
0.956006 0.293346i \(-0.0947689\pi\)
\(588\) −10.4059 + 0.666880i −0.429131 + 0.0275017i
\(589\) −0.447765 + 1.74860i −0.0184498 + 0.0720500i
\(590\) 2.49840 + 1.49131i 0.102857 + 0.0613962i
\(591\) −0.0949843 + 4.08160i −0.00390713 + 0.167895i
\(592\) −4.17238 8.94771i −0.171484 0.367748i
\(593\) 21.2939 14.9102i 0.874436 0.612287i −0.0478241 0.998856i \(-0.515229\pi\)
0.922261 + 0.386569i \(0.126340\pi\)
\(594\) −4.11754 + 9.24845i −0.168945 + 0.379468i
\(595\) 3.55298 + 5.23456i 0.145658 + 0.214596i
\(596\) −7.80299 4.50506i −0.319623 0.184534i
\(597\) 9.05741 6.03298i 0.370695 0.246914i
\(598\) 16.6517 1.45683i 0.680938 0.0595744i
\(599\) 20.3376 + 17.0653i 0.830973 + 0.697270i 0.955514 0.294945i \(-0.0953013\pi\)
−0.124541 + 0.992214i \(0.539746\pi\)
\(600\) −2.53209 8.28182i −0.103372 0.338104i
\(601\) 10.2267 17.7131i 0.417155 0.722534i −0.578497 0.815685i \(-0.696360\pi\)
0.995652 + 0.0931506i \(0.0296938\pi\)
\(602\) 0.276035 0.591960i 0.0112504 0.0241265i
\(603\) 18.4713 35.2330i 0.752207 1.43480i
\(604\) 18.7006 + 3.29743i 0.760918 + 0.134170i
\(605\) −1.63720 + 16.0256i −0.0665615 + 0.651531i
\(606\) −26.6952 0.621233i −1.08442 0.0252359i
\(607\) −7.03076 7.03076i −0.285370 0.285370i 0.549876 0.835246i \(-0.314675\pi\)
−0.835246 + 0.549876i \(0.814675\pi\)
\(608\) −0.709152 + 4.30083i −0.0287599 + 0.174422i
\(609\) −1.39773 1.22937i −0.0566391 0.0498167i
\(610\) −15.1545 + 2.44548i −0.613586 + 0.0990145i
\(611\) 19.1424 52.5934i 0.774420 2.12770i
\(612\) −6.33873 + 5.77464i −0.256228 + 0.233426i
\(613\) −23.7076 16.6002i −0.957540 0.670476i −0.0133611 0.999911i \(-0.504253\pi\)
−0.944179 + 0.329434i \(0.893142\pi\)
\(614\) 28.1264 10.2372i 1.13509 0.413139i
\(615\) −0.551942 + 2.56012i −0.0222564 + 0.103234i
\(616\) −0.964278 1.67018i −0.0388519 0.0672934i
\(617\) −47.2470 + 4.13357i −1.90209 + 0.166411i −0.976987 0.213301i \(-0.931579\pi\)
−0.925105 + 0.379712i \(0.876023\pi\)
\(618\) −0.0988486 + 0.134403i −0.00397627 + 0.00540649i
\(619\) −0.691678 + 0.399341i −0.0278009 + 0.0160509i −0.513836 0.857888i \(-0.671776\pi\)
0.486035 + 0.873939i \(0.338443\pi\)
\(620\) −0.252636 + 0.890827i −0.0101461 + 0.0357765i
\(621\) 14.0521 + 3.50341i 0.563892 + 0.140587i
\(622\) −13.2859 + 18.9743i −0.532717 + 0.760799i
\(623\) −13.7458 + 9.62490i −0.550713 + 0.385614i
\(624\) −9.11443 + 4.98316i −0.364869 + 0.199486i
\(625\) −2.90257 24.8309i −0.116103 0.993237i
\(626\) 6.31589i 0.252434i
\(627\) 12.8271 7.19932i 0.512263 0.287513i
\(628\) 8.49638 8.49638i 0.339042 0.339042i
\(629\) −21.6167 + 18.1386i −0.861914 + 0.723232i
\(630\) 0.173890 + 6.63796i 0.00692794 + 0.264463i
\(631\) 0.491998 2.79026i 0.0195861 0.111078i −0.973447 0.228911i \(-0.926484\pi\)
0.993033 + 0.117833i \(0.0375946\pi\)
\(632\) −8.50218 5.95329i −0.338199 0.236809i
\(633\) −23.5089 + 10.3035i −0.934394 + 0.409526i
\(634\) −2.15691 1.24529i −0.0856619 0.0494569i
\(635\) 32.2844 + 0.469512i 1.28117 + 0.0186320i
\(636\) −14.7379 + 2.24650i −0.584395 + 0.0890795i
\(637\) 3.14676 + 35.9676i 0.124679 + 1.42509i
\(638\) −0.547476 + 2.04321i −0.0216748 + 0.0808914i
\(639\) 24.8282 + 10.3686i 0.982187 + 0.410177i
\(640\) −0.420270 + 2.19622i −0.0166126 + 0.0868131i
\(641\) 7.30973 1.28890i 0.288717 0.0509086i −0.0274140 0.999624i \(-0.508727\pi\)
0.316131 + 0.948716i \(0.397616\pi\)
\(642\) 10.0895 + 1.11980i 0.398203 + 0.0441949i
\(643\) 11.1232 5.18684i 0.438657 0.204549i −0.190728 0.981643i \(-0.561085\pi\)
0.629385 + 0.777094i \(0.283307\pi\)
\(644\) −2.11342 + 1.77337i −0.0832804 + 0.0698806i
\(645\) 2.27364 + 1.16680i 0.0895243 + 0.0459427i
\(646\) 12.3985 1.22375i 0.487814 0.0481478i
\(647\) −31.8896 + 31.8896i −1.25371 + 1.25371i −0.299666 + 0.954044i \(0.596875\pi\)
−0.954044 + 0.299666i \(0.903125\pi\)
\(648\) −8.87219 + 1.51138i −0.348532 + 0.0593727i
\(649\) −0.867082 + 2.38229i −0.0340360 + 0.0935130i
\(650\) −28.4647 + 9.43232i −1.11648 + 0.369966i
\(651\) 0.369197 0.606433i 0.0144700 0.0237680i
\(652\) −4.57557 2.13362i −0.179193 0.0835592i
\(653\) −34.4800 + 9.23889i −1.34931 + 0.361546i −0.859879 0.510498i \(-0.829461\pi\)
−0.489428 + 0.872044i \(0.662794\pi\)
\(654\) −3.57778 + 17.8513i −0.139902 + 0.698043i
\(655\) 5.76635 + 2.79168i 0.225310 + 0.109080i
\(656\) 0.434658 0.518006i 0.0169706 0.0202247i
\(657\) 18.8682 + 2.53975i 0.736119 + 0.0990853i
\(658\) 2.39089 + 8.92292i 0.0932066 + 0.347852i
\(659\) −1.90152 + 0.692096i −0.0740726 + 0.0269602i −0.378791 0.925482i \(-0.623660\pi\)
0.304718 + 0.952443i \(0.401438\pi\)
\(660\) 6.67272 3.52314i 0.259735 0.137138i
\(661\) −6.69202 + 37.9523i −0.260289 + 1.47617i 0.521832 + 0.853048i \(0.325249\pi\)
−0.782122 + 0.623126i \(0.785862\pi\)
\(662\) −28.9801 + 13.5136i −1.12634 + 0.525222i
\(663\) 20.5003 + 21.4772i 0.796167 + 0.834106i
\(664\) 7.05884i 0.273936i
\(665\) 5.56094 7.88421i 0.215644 0.305737i
\(666\) −29.3758 + 3.78073i −1.13829 + 0.146500i
\(667\) 3.01448 + 0.263733i 0.116721 + 0.0102118i
\(668\) 7.08963 + 15.2038i 0.274306 + 0.588251i
\(669\) −18.6143 23.2620i −0.719670 0.899360i
\(670\) −27.0525 + 12.1391i −1.04513 + 0.468973i
\(671\) −4.57450 12.5683i −0.176597 0.485195i
\(672\) 0.760535 1.53659i 0.0293383 0.0592752i
\(673\) −19.9158 5.33641i −0.767696 0.205704i −0.146343 0.989234i \(-0.546750\pi\)
−0.621353 + 0.783530i \(0.713417\pi\)
\(674\) −5.64773 4.73901i −0.217543 0.182540i
\(675\) −25.9790 0.301858i −0.999933 0.0116185i
\(676\) 11.4841 + 19.8911i 0.441697 + 0.765042i
\(677\) −0.515270 1.92301i −0.0198034 0.0739074i 0.955317 0.295583i \(-0.0955140\pi\)
−0.975120 + 0.221676i \(0.928847\pi\)
\(678\) −22.0003 + 9.64232i −0.844918 + 0.370311i
\(679\) 9.90058 1.74574i 0.379950 0.0669954i
\(680\) 6.37433 0.464389i 0.244445 0.0178085i
\(681\) 37.0380 20.2499i 1.41930 0.775979i
\(682\) −0.803720 0.0703164i −0.0307760 0.00269255i
\(683\) 25.4468 + 25.4468i 0.973695 + 0.973695i 0.999663 0.0259681i \(-0.00826683\pi\)
−0.0259681 + 0.999663i \(0.508267\pi\)
\(684\) 11.6484 + 5.94266i 0.445387 + 0.227223i
\(685\) 22.6578 + 13.5245i 0.865710 + 0.516746i
\(686\) −8.28441 9.87297i −0.316300 0.376952i
\(687\) −4.15041 + 14.1629i −0.158348 + 0.540349i
\(688\) −0.378469 0.540510i −0.0144290 0.0206067i
\(689\) 8.96380 + 50.8362i 0.341493 + 1.93671i
\(690\) −6.62100 8.52539i −0.252057 0.324556i
\(691\) 0.00818857 0.0141830i 0.000311508 0.000539548i −0.865870 0.500270i \(-0.833234\pi\)
0.866181 + 0.499730i \(0.166568\pi\)
\(692\) −13.7418 3.68210i −0.522385 0.139973i
\(693\) −5.65213 + 1.23586i −0.214707 + 0.0469463i
\(694\) 17.1924 20.4891i 0.652613 0.777754i
\(695\) 7.75527 + 7.98417i 0.294174 + 0.302857i
\(696\) −1.78158 + 0.601886i −0.0675308 + 0.0228144i
\(697\) −1.75168 0.816823i −0.0663497 0.0309394i
\(698\) 14.4331 20.6126i 0.546300 0.780197i
\(699\) 27.0832 21.6720i 1.02438 0.819711i
\(700\) 2.95552 3.97000i 0.111708 0.150052i
\(701\) −6.87555 8.19396i −0.259686 0.309482i 0.620410 0.784278i \(-0.286966\pi\)
−0.880096 + 0.474796i \(0.842522\pi\)
\(702\) 5.94657 + 30.5905i 0.224439 + 1.15457i
\(703\) 37.5055 + 21.1015i 1.41455 + 0.795857i
\(704\) −1.94829 −0.0734291
\(705\) −35.2407 + 8.02829i −1.32724 + 0.302363i
\(706\) 5.75484 + 2.09459i 0.216586 + 0.0788309i
\(707\) −8.75305 12.5006i −0.329192 0.470135i
\(708\) −2.18998 + 0.532520i −0.0823046 + 0.0200133i
\(709\) −14.5263 39.9106i −0.545545 1.49887i −0.839665 0.543104i \(-0.817249\pi\)
0.294121 0.955768i \(-0.404973\pi\)
\(710\) −9.77376 17.5119i −0.366803 0.657210i
\(711\) −24.7581 + 18.8837i −0.928502 + 0.708195i
\(712\) 1.47749 + 16.8877i 0.0553711 + 0.632895i
\(713\) 0.100590 + 1.14975i 0.00376714 + 0.0430586i
\(714\) −4.80491 0.963004i −0.179819 0.0360395i
\(715\) −12.7334 22.8147i −0.476201 0.853222i
\(716\) 8.17883 + 22.4712i 0.305657 + 0.839787i
\(717\) −7.02509 28.8906i −0.262357 1.07894i
\(718\) −6.25561 8.93394i −0.233457 0.333412i
\(719\) 42.2585 + 15.3808i 1.57598 + 0.573608i 0.974324 0.225150i \(-0.0722871\pi\)
0.601652 + 0.798758i \(0.294509\pi\)
\(720\) 5.89532 + 3.20082i 0.219706 + 0.119287i
\(721\) −0.0953487 −0.00355097
\(722\) −8.41056 17.0371i −0.313009 0.634055i
\(723\) 7.08908 0.454317i 0.263646 0.0168962i
\(724\) −11.1147 13.2459i −0.413073 0.492282i
\(725\) −5.37124 + 0.786798i −0.199483 + 0.0292209i
\(726\) −7.79612 9.74268i −0.289341 0.361585i
\(727\) −6.08564 + 8.69119i −0.225704 + 0.322339i −0.915992 0.401196i \(-0.868595\pi\)
0.690288 + 0.723534i \(0.257484\pi\)
\(728\) −5.38038 2.50891i −0.199410 0.0929865i
\(729\) −3.75704 + 26.7373i −0.139150 + 0.990271i
\(730\) −9.88713 10.1790i −0.365939 0.376740i
\(731\) −1.21229 + 1.44475i −0.0448381 + 0.0534360i
\(732\) 7.04484 9.57878i 0.260385 0.354042i
\(733\) −51.1849 13.7149i −1.89056 0.506573i −0.998506 0.0546376i \(-0.982600\pi\)
−0.892051 0.451936i \(-0.850734\pi\)
\(734\) −13.2710 + 22.9860i −0.489841 + 0.848429i
\(735\) 18.4148 14.3014i 0.679241 0.527514i
\(736\) 0.483977 + 2.74477i 0.0178396 + 0.101174i
\(737\) −14.8185 21.1630i −0.545846 0.779548i
\(738\) −1.08501 1.71408i −0.0399398 0.0630961i
\(739\) −30.1451 35.9256i −1.10891 1.32154i −0.942016 0.335567i \(-0.891072\pi\)
−0.166890 0.985976i \(-0.553372\pi\)
\(740\) 18.9559 + 11.3149i 0.696832 + 0.415942i
\(741\) 19.6330 40.8012i 0.721235 1.49887i
\(742\) −6.02455 6.02455i −0.221168 0.221168i
\(743\) −28.8612 2.52503i −1.05881 0.0926342i −0.455577 0.890196i \(-0.650567\pi\)
−0.603237 + 0.797562i \(0.706123\pi\)
\(744\) −0.344074 0.629326i −0.0126144 0.0230722i
\(745\) 20.0940 1.46391i 0.736187 0.0536334i
\(746\) 18.7314 3.30286i 0.685806 0.120926i
\(747\) 20.1778 + 6.42646i 0.738268 + 0.235132i
\(748\) 1.44129 + 5.37895i 0.0526986 + 0.196674i
\(749\) 2.90080 + 5.02433i 0.105993 + 0.183585i
\(750\) 15.0849 + 12.1427i 0.550822 + 0.443390i
\(751\) −6.27400 5.26451i −0.228942 0.192105i 0.521100 0.853496i \(-0.325522\pi\)
−0.750041 + 0.661391i \(0.769966\pi\)
\(752\) 9.01425 + 2.41536i 0.328716 + 0.0880791i
\(753\) −18.8868 9.34802i −0.688273 0.340661i
\(754\) 2.22703 + 6.11871i 0.0811036 + 0.222830i
\(755\) −38.7396 + 17.3833i −1.40988 + 0.632643i
\(756\) −3.69997 3.57294i −0.134567 0.129946i
\(757\) 0.483510 + 1.03689i 0.0175735 + 0.0376864i 0.914899 0.403684i \(-0.132270\pi\)
−0.897325 + 0.441370i \(0.854493\pi\)
\(758\) −30.0215 2.62654i −1.09043 0.0954002i
\(759\) 6.21155 7.06223i 0.225465 0.256343i
\(760\) −4.08888 8.84766i −0.148319 0.320938i
\(761\) 2.12300i 0.0769588i −0.999259 0.0384794i \(-0.987749\pi\)
0.999259 0.0384794i \(-0.0122514\pi\)
\(762\) −18.0914 + 17.2686i −0.655384 + 0.625574i
\(763\) −9.43008 + 4.39732i −0.341392 + 0.159194i
\(764\) 0.308792 1.75125i 0.0111717 0.0633580i
\(765\) 4.47581 18.6440i 0.161823 0.674074i
\(766\) −3.84501 + 1.39947i −0.138926 + 0.0505648i
\(767\) 2.01981 + 7.53802i 0.0729310 + 0.272182i
\(768\) −0.960186 1.44154i −0.0346477 0.0520172i
\(769\) 17.0304 20.2961i 0.614133 0.731895i −0.365917 0.930648i \(-0.619244\pi\)
0.980050 + 0.198752i \(0.0636889\pi\)
\(770\) 3.88143 + 1.87913i 0.139877 + 0.0677192i
\(771\) 10.3032 + 2.06497i 0.371060 + 0.0743682i
\(772\) 6.94024 1.85963i 0.249785 0.0669296i
\(773\) −45.2698 21.1096i −1.62824