Properties

Label 400.2.bl.a.189.27
Level $400$
Weight $2$
Character 400.189
Analytic conductor $3.194$
Analytic rank $0$
Dimension $464$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 400 = 2^{4} \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 400.bl (of order \(20\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.19401608085\)
Analytic rank: \(0\)
Dimension: \(464\)
Relative dimension: \(58\) over \(\Q(\zeta_{20})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label 189.27
Character \(\chi\) \(=\) 400.189
Dual form 400.2.bl.a.309.27

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.199256 - 1.40011i) q^{2} +(0.983149 + 1.92954i) q^{3} +(-1.92059 + 0.557958i) q^{4} +(1.17859 - 1.90024i) q^{5} +(2.50566 - 1.76098i) q^{6} +0.337437 q^{7} +(1.16389 + 2.57786i) q^{8} +(-0.993180 + 1.36700i) q^{9} +O(q^{10})\) \(q+(-0.199256 - 1.40011i) q^{2} +(0.983149 + 1.92954i) q^{3} +(-1.92059 + 0.557958i) q^{4} +(1.17859 - 1.90024i) q^{5} +(2.50566 - 1.76098i) q^{6} +0.337437 q^{7} +(1.16389 + 2.57786i) q^{8} +(-0.993180 + 1.36700i) q^{9} +(-2.89538 - 1.27152i) q^{10} +(0.168908 - 1.06644i) q^{11} +(-2.96483 - 3.15730i) q^{12} +(4.26896 - 0.676137i) q^{13} +(-0.0672364 - 0.472448i) q^{14} +(4.82532 + 0.405912i) q^{15} +(3.37736 - 2.14322i) q^{16} +(1.29208 - 0.419821i) q^{17} +(2.11184 + 1.11818i) q^{18} +(-2.40298 + 4.71610i) q^{19} +(-1.20334 + 4.30720i) q^{20} +(0.331751 + 0.651098i) q^{21} +(-1.52679 - 0.0239942i) q^{22} +(0.226540 - 0.164591i) q^{23} +(-3.82980 + 4.78019i) q^{24} +(-2.22185 - 4.47922i) q^{25} +(-1.79728 - 5.84228i) q^{26} +(2.80262 + 0.443891i) q^{27} +(-0.648080 + 0.188276i) q^{28} +(6.90978 - 3.52071i) q^{29} +(-0.393154 - 6.83684i) q^{30} +(1.69748 + 5.22431i) q^{31} +(-3.67370 - 4.30162i) q^{32} +(2.22381 - 0.722558i) q^{33} +(-0.845248 - 1.72539i) q^{34} +(0.397700 - 0.641213i) q^{35} +(1.14477 - 3.17960i) q^{36} +(0.130366 + 0.823099i) q^{37} +(7.08185 + 2.42471i) q^{38} +(5.50166 + 7.57238i) q^{39} +(6.27031 + 0.826563i) q^{40} +(1.79636 - 2.47248i) q^{41} +(0.845504 - 0.594222i) q^{42} +(-4.82814 - 4.82814i) q^{43} +(0.270627 + 2.14245i) q^{44} +(1.42707 + 3.49841i) q^{45} +(-0.275584 - 0.284384i) q^{46} +(-2.30680 - 0.749523i) q^{47} +(7.45588 + 4.40965i) q^{48} -6.88614 q^{49} +(-5.82866 + 4.00334i) q^{50} +(2.08037 + 2.08037i) q^{51} +(-7.82169 + 3.68049i) q^{52} +(-8.22391 + 4.19029i) q^{53} +(0.0630567 - 4.01241i) q^{54} +(-1.82743 - 1.57787i) q^{55} +(0.392740 + 0.869866i) q^{56} -11.4624 q^{57} +(-6.30618 - 8.97290i) q^{58} +(-4.60509 + 0.729375i) q^{59} +(-9.49397 + 1.91274i) q^{60} +(-8.58235 - 1.35931i) q^{61} +(6.97636 - 3.41763i) q^{62} +(-0.335136 + 0.461275i) q^{63} +(-5.29072 + 6.00069i) q^{64} +(3.74653 - 8.90896i) q^{65} +(-1.45476 - 2.96959i) q^{66} +(-4.75211 - 2.42132i) q^{67} +(-2.24731 + 1.52723i) q^{68} +(0.540307 + 0.275300i) q^{69} +(-0.977011 - 0.429057i) q^{70} +(12.3535 + 4.01390i) q^{71} +(-4.67987 - 0.969246i) q^{72} +(-8.25632 + 5.99857i) q^{73} +(1.12645 - 0.346534i) q^{74} +(6.45841 - 8.69088i) q^{75} +(1.98375 - 10.3985i) q^{76} +(0.0569959 - 0.359858i) q^{77} +(9.50590 - 9.21174i) q^{78} +(-2.56248 + 7.88650i) q^{79} +(-0.0921200 - 8.94380i) q^{80} +(3.46532 + 10.6652i) q^{81} +(-3.81966 - 2.02244i) q^{82} +(-12.6973 - 6.46961i) q^{83} +(-1.00045 - 1.06539i) q^{84} +(0.725066 - 2.95006i) q^{85} +(-5.79788 + 7.72195i) q^{86} +(13.5867 + 9.87130i) q^{87} +(2.94573 - 0.805803i) q^{88} +(5.62268 + 7.73896i) q^{89} +(4.61379 - 2.69513i) q^{90} +(1.44051 - 0.228154i) q^{91} +(-0.343257 + 0.442512i) q^{92} +(-8.41163 + 8.41163i) q^{93} +(-0.589770 + 3.37911i) q^{94} +(6.12963 + 10.1246i) q^{95} +(4.68834 - 11.3177i) q^{96} +(-6.60997 - 2.14771i) q^{97} +(1.37210 + 9.64132i) q^{98} +(1.29007 + 1.29007i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 464q - 10q^{2} - 10q^{3} - 6q^{4} - 8q^{5} - 6q^{6} - 40q^{8} + O(q^{10}) \) \( 464q - 10q^{2} - 10q^{3} - 6q^{4} - 8q^{5} - 6q^{6} - 40q^{8} - 2q^{10} - 6q^{11} - 10q^{12} - 10q^{13} - 18q^{14} - 16q^{15} - 6q^{16} - 20q^{17} - 6q^{19} + 6q^{20} - 24q^{21} - 10q^{22} - 16q^{24} - 36q^{26} - 10q^{27} - 50q^{28} - 6q^{29} + 14q^{30} - 36q^{31} - 20q^{33} - 46q^{34} - 36q^{35} + 38q^{36} - 10q^{37} + 60q^{38} - 84q^{40} - 70q^{42} + 36q^{44} - 24q^{45} + 2q^{46} - 20q^{47} - 140q^{48} + 336q^{49} - 46q^{50} - 28q^{51} + 80q^{52} - 10q^{53} - 30q^{54} - 48q^{56} - 10q^{58} - 6q^{59} + 112q^{60} - 6q^{61} - 10q^{62} - 160q^{63} - 24q^{64} - 48q^{65} - 104q^{66} - 70q^{67} + 6q^{69} - 100q^{70} - 10q^{72} + 28q^{74} - 46q^{75} + 44q^{76} - 80q^{77} - 10q^{78} - 52q^{79} - 2q^{80} + 72q^{81} - 10q^{83} + 28q^{84} - 18q^{85} + 34q^{86} + 100q^{88} + 74q^{90} - 48q^{91} + 80q^{92} - 6q^{94} - 40q^{95} + 54q^{96} - 20q^{97} - 100q^{98} - 64q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/400\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(177\) \(351\)
\(\chi(n)\) \(e\left(\frac{3}{4}\right)\) \(e\left(\frac{3}{10}\right)\) \(1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.199256 1.40011i −0.140895 0.990025i
\(3\) 0.983149 + 1.92954i 0.567621 + 1.11402i 0.979248 + 0.202667i \(0.0649608\pi\)
−0.411627 + 0.911353i \(0.635039\pi\)
\(4\) −1.92059 + 0.557958i −0.960297 + 0.278979i
\(5\) 1.17859 1.90024i 0.527081 0.849815i
\(6\) 2.50566 1.76098i 1.02293 0.718919i
\(7\) 0.337437 0.127539 0.0637697 0.997965i \(-0.479688\pi\)
0.0637697 + 0.997965i \(0.479688\pi\)
\(8\) 1.16389 + 2.57786i 0.411497 + 0.911411i
\(9\) −0.993180 + 1.36700i −0.331060 + 0.455665i
\(10\) −2.89538 1.27152i −0.915601 0.402089i
\(11\) 0.168908 1.06644i 0.0509277 0.321545i −0.949052 0.315121i \(-0.897955\pi\)
0.999979 0.00642437i \(-0.00204495\pi\)
\(12\) −2.96483 3.15730i −0.855873 0.911435i
\(13\) 4.26896 0.676137i 1.18400 0.187527i 0.466778 0.884375i \(-0.345415\pi\)
0.717219 + 0.696848i \(0.245415\pi\)
\(14\) −0.0672364 0.472448i −0.0179697 0.126267i
\(15\) 4.82532 + 0.405912i 1.24589 + 0.104806i
\(16\) 3.37736 2.14322i 0.844341 0.535806i
\(17\) 1.29208 0.419821i 0.313375 0.101822i −0.148107 0.988971i \(-0.547318\pi\)
0.461482 + 0.887150i \(0.347318\pi\)
\(18\) 2.11184 + 1.11818i 0.497764 + 0.263557i
\(19\) −2.40298 + 4.71610i −0.551280 + 1.08195i 0.432342 + 0.901709i \(0.357687\pi\)
−0.983623 + 0.180239i \(0.942313\pi\)
\(20\) −1.20334 + 4.30720i −0.269074 + 0.963119i
\(21\) 0.331751 + 0.651098i 0.0723940 + 0.142081i
\(22\) −1.52679 0.0239942i −0.325513 0.00511558i
\(23\) 0.226540 0.164591i 0.0472369 0.0343196i −0.563916 0.825832i \(-0.690706\pi\)
0.611153 + 0.791512i \(0.290706\pi\)
\(24\) −3.82980 + 4.78019i −0.781755 + 0.975752i
\(25\) −2.22185 4.47922i −0.444370 0.895843i
\(26\) −1.79728 5.84228i −0.352475 1.14576i
\(27\) 2.80262 + 0.443891i 0.539364 + 0.0854268i
\(28\) −0.648080 + 0.188276i −0.122476 + 0.0355808i
\(29\) 6.90978 3.52071i 1.28311 0.653779i 0.326516 0.945192i \(-0.394125\pi\)
0.956597 + 0.291413i \(0.0941253\pi\)
\(30\) −0.393154 6.83684i −0.0717798 1.24823i
\(31\) 1.69748 + 5.22431i 0.304877 + 0.938314i 0.979723 + 0.200356i \(0.0642099\pi\)
−0.674846 + 0.737958i \(0.735790\pi\)
\(32\) −3.67370 4.30162i −0.649425 0.760426i
\(33\) 2.22381 0.722558i 0.387115 0.125781i
\(34\) −0.845248 1.72539i −0.144959 0.295902i
\(35\) 0.397700 0.641213i 0.0672236 0.108385i
\(36\) 1.14477 3.17960i 0.190795 0.529933i
\(37\) 0.130366 + 0.823099i 0.0214320 + 0.135317i 0.996084 0.0884087i \(-0.0281781\pi\)
−0.974652 + 0.223725i \(0.928178\pi\)
\(38\) 7.08185 + 2.42471i 1.14883 + 0.393340i
\(39\) 5.50166 + 7.57238i 0.880970 + 1.21255i
\(40\) 6.27031 + 0.826563i 0.991423 + 0.130691i
\(41\) 1.79636 2.47248i 0.280544 0.386136i −0.645370 0.763870i \(-0.723297\pi\)
0.925914 + 0.377734i \(0.123297\pi\)
\(42\) 0.845504 0.594222i 0.130464 0.0916904i
\(43\) −4.82814 4.82814i −0.736285 0.736285i 0.235572 0.971857i \(-0.424304\pi\)
−0.971857 + 0.235572i \(0.924304\pi\)
\(44\) 0.270627 + 2.14245i 0.0407986 + 0.322986i
\(45\) 1.42707 + 3.49841i 0.212735 + 0.521512i
\(46\) −0.275584 0.284384i −0.0406327 0.0419302i
\(47\) −2.30680 0.749523i −0.336481 0.109329i 0.135903 0.990722i \(-0.456606\pi\)
−0.472384 + 0.881393i \(0.656606\pi\)
\(48\) 7.45588 + 4.40965i 1.07616 + 0.636478i
\(49\) −6.88614 −0.983734
\(50\) −5.82866 + 4.00334i −0.824297 + 0.566158i
\(51\) 2.08037 + 2.08037i 0.291309 + 0.291309i
\(52\) −7.82169 + 3.68049i −1.08467 + 0.510392i
\(53\) −8.22391 + 4.19029i −1.12964 + 0.575581i −0.915939 0.401318i \(-0.868552\pi\)
−0.213702 + 0.976899i \(0.568552\pi\)
\(54\) 0.0630567 4.01241i 0.00858093 0.546019i
\(55\) −1.82743 1.57787i −0.246411 0.212759i
\(56\) 0.392740 + 0.869866i 0.0524821 + 0.116241i
\(57\) −11.4624 −1.51823
\(58\) −6.30618 8.97290i −0.828042 1.17820i
\(59\) −4.60509 + 0.729375i −0.599532 + 0.0949565i −0.448821 0.893621i \(-0.648156\pi\)
−0.150710 + 0.988578i \(0.548156\pi\)
\(60\) −9.49397 + 1.91274i −1.22567 + 0.246933i
\(61\) −8.58235 1.35931i −1.09886 0.174042i −0.419432 0.907787i \(-0.637771\pi\)
−0.679425 + 0.733745i \(0.737771\pi\)
\(62\) 6.97636 3.41763i 0.885998 0.434039i
\(63\) −0.335136 + 0.461275i −0.0422232 + 0.0581152i
\(64\) −5.29072 + 6.00069i −0.661340 + 0.750087i
\(65\) 3.74653 8.90896i 0.464700 1.10502i
\(66\) −1.45476 2.96959i −0.179069 0.365531i
\(67\) −4.75211 2.42132i −0.580563 0.295812i 0.138940 0.990301i \(-0.455630\pi\)
−0.719503 + 0.694489i \(0.755630\pi\)
\(68\) −2.24731 + 1.52723i −0.272527 + 0.185204i
\(69\) 0.540307 + 0.275300i 0.0650453 + 0.0331422i
\(70\) −0.977011 0.429057i −0.116775 0.0512821i
\(71\) 12.3535 + 4.01390i 1.46609 + 0.476362i 0.929925 0.367750i \(-0.119872\pi\)
0.536167 + 0.844112i \(0.319872\pi\)
\(72\) −4.67987 0.969246i −0.551528 0.114227i
\(73\) −8.25632 + 5.99857i −0.966329 + 0.702079i −0.954612 0.297852i \(-0.903730\pi\)
−0.0117170 + 0.999931i \(0.503730\pi\)
\(74\) 1.12645 0.346534i 0.130947 0.0402837i
\(75\) 6.45841 8.69088i 0.745752 1.00354i
\(76\) 1.98375 10.3985i 0.227552 1.19279i
\(77\) 0.0569959 0.359858i 0.00649529 0.0410096i
\(78\) 9.50590 9.21174i 1.07633 1.04302i
\(79\) −2.56248 + 7.88650i −0.288301 + 0.887301i 0.697088 + 0.716985i \(0.254479\pi\)
−0.985390 + 0.170315i \(0.945521\pi\)
\(80\) −0.0921200 8.94380i −0.0102993 0.999947i
\(81\) 3.46532 + 10.6652i 0.385036 + 1.18502i
\(82\) −3.81966 2.02244i −0.421811 0.223341i
\(83\) −12.6973 6.46961i −1.39371 0.710132i −0.413950 0.910299i \(-0.635851\pi\)
−0.979762 + 0.200168i \(0.935851\pi\)
\(84\) −1.00045 1.06539i −0.109158 0.116244i
\(85\) 0.725066 2.95006i 0.0786445 0.319979i
\(86\) −5.79788 + 7.72195i −0.625201 + 0.832679i
\(87\) 13.5867 + 9.87130i 1.45664 + 1.05831i
\(88\) 2.94573 0.805803i 0.314016 0.0858988i
\(89\) 5.62268 + 7.73896i 0.596003 + 0.820328i 0.995335 0.0964786i \(-0.0307579\pi\)
−0.399332 + 0.916806i \(0.630758\pi\)
\(90\) 4.61379 2.69513i 0.486337 0.284092i
\(91\) 1.44051 0.228154i 0.151006 0.0239170i
\(92\) −0.343257 + 0.442512i −0.0357870 + 0.0461351i
\(93\) −8.41163 + 8.41163i −0.872246 + 0.872246i
\(94\) −0.589770 + 3.37911i −0.0608301 + 0.348528i
\(95\) 6.12963 + 10.1246i 0.628886 + 1.03876i
\(96\) 4.68834 11.3177i 0.478502 1.15511i
\(97\) −6.60997 2.14771i −0.671140 0.218067i −0.0464280 0.998922i \(-0.514784\pi\)
−0.624712 + 0.780855i \(0.714784\pi\)
\(98\) 1.37210 + 9.64132i 0.138603 + 0.973921i
\(99\) 1.29007 + 1.29007i 0.129657 + 0.129657i
\(100\) 6.76649 + 7.36305i 0.676649 + 0.736305i
\(101\) −8.68705 + 8.68705i −0.864394 + 0.864394i −0.991845 0.127451i \(-0.959320\pi\)
0.127451 + 0.991845i \(0.459320\pi\)
\(102\) 2.49821 3.32726i 0.247359 0.329448i
\(103\) 5.45281 16.7820i 0.537282 1.65358i −0.201386 0.979512i \(-0.564544\pi\)
0.738667 0.674070i \(-0.235456\pi\)
\(104\) 6.71159 + 10.2178i 0.658126 + 1.00194i
\(105\) 1.62824 + 0.136970i 0.158900 + 0.0133669i
\(106\) 7.50552 + 10.6794i 0.729000 + 1.03728i
\(107\) 5.05330 + 5.05330i 0.488521 + 0.488521i 0.907839 0.419319i \(-0.137731\pi\)
−0.419319 + 0.907839i \(0.637731\pi\)
\(108\) −5.63036 + 0.711209i −0.541782 + 0.0684361i
\(109\) −0.576898 3.64239i −0.0552568 0.348878i −0.999791 0.0204635i \(-0.993486\pi\)
0.944534 0.328414i \(-0.106514\pi\)
\(110\) −1.84505 + 2.87299i −0.175919 + 0.273929i
\(111\) −1.46003 + 1.06077i −0.138580 + 0.100684i
\(112\) 1.13965 0.723204i 0.107687 0.0683363i
\(113\) 6.44200 8.86666i 0.606013 0.834105i −0.390229 0.920718i \(-0.627604\pi\)
0.996242 + 0.0866127i \(0.0276043\pi\)
\(114\) 2.28395 + 16.0486i 0.213911 + 1.50309i
\(115\) −0.0457652 0.624466i −0.00426763 0.0582318i
\(116\) −11.3065 + 10.6172i −1.04978 + 0.985784i
\(117\) −3.31557 + 6.50718i −0.306525 + 0.601589i
\(118\) 1.93879 + 6.30228i 0.178480 + 0.580172i
\(119\) 0.435995 0.141663i 0.0399676 0.0129863i
\(120\) 4.56976 + 12.9114i 0.417160 + 1.17865i
\(121\) 9.35285 + 3.03892i 0.850259 + 0.276266i
\(122\) −0.193096 + 12.2871i −0.0174821 + 1.11242i
\(123\) 6.53682 + 1.03533i 0.589406 + 0.0933527i
\(124\) −6.17512 9.08666i −0.554542 0.816006i
\(125\) −11.1303 1.05710i −0.995520 0.0945496i
\(126\) 0.712612 + 0.377314i 0.0634845 + 0.0336138i
\(127\) −1.62066 2.23065i −0.143810 0.197938i 0.731035 0.682340i \(-0.239037\pi\)
−0.874846 + 0.484401i \(0.839037\pi\)
\(128\) 9.45581 + 6.21189i 0.835784 + 0.549059i
\(129\) 4.56930 14.0629i 0.402305 1.23817i
\(130\) −13.2200 3.47038i −1.15947 0.304372i
\(131\) −7.21094 + 14.1523i −0.630023 + 1.23649i 0.326601 + 0.945162i \(0.394097\pi\)
−0.956624 + 0.291327i \(0.905903\pi\)
\(132\) −3.86787 + 2.62853i −0.336655 + 0.228784i
\(133\) −0.810854 + 1.59139i −0.0703099 + 0.137991i
\(134\) −2.44322 + 7.13592i −0.211062 + 0.616450i
\(135\) 4.14663 4.80249i 0.356885 0.413332i
\(136\) 2.58608 + 2.84217i 0.221754 + 0.243714i
\(137\) −8.60930 6.25502i −0.735542 0.534403i 0.155770 0.987793i \(-0.450214\pi\)
−0.891312 + 0.453391i \(0.850214\pi\)
\(138\) 0.277790 0.811342i 0.0236471 0.0690660i
\(139\) 1.47072 9.28576i 0.124745 0.787608i −0.843413 0.537266i \(-0.819457\pi\)
0.968158 0.250342i \(-0.0805430\pi\)
\(140\) −0.406050 + 1.45341i −0.0343175 + 0.122836i
\(141\) −0.821689 5.18794i −0.0691987 0.436904i
\(142\) 3.15838 18.0960i 0.265045 1.51858i
\(143\) 4.66681i 0.390259i
\(144\) −0.424555 + 6.74545i −0.0353796 + 0.562121i
\(145\) 1.45359 17.2797i 0.120714 1.43500i
\(146\) 10.0437 + 10.3645i 0.831227 + 0.857770i
\(147\) −6.77010 13.2871i −0.558388 1.09590i
\(148\) −0.709635 1.50810i −0.0583317 0.123965i
\(149\) 7.50255 7.50255i 0.614633 0.614633i −0.329517 0.944150i \(-0.606886\pi\)
0.944150 + 0.329517i \(0.106886\pi\)
\(150\) −13.4550 7.31074i −1.09860 0.596920i
\(151\) 9.37199i 0.762681i 0.924435 + 0.381341i \(0.124538\pi\)
−0.924435 + 0.381341i \(0.875462\pi\)
\(152\) −14.9543 0.705503i −1.21295 0.0572238i
\(153\) −0.709372 + 2.18322i −0.0573493 + 0.176503i
\(154\) −0.515196 0.00809653i −0.0415157 0.000652437i
\(155\) 11.9281 + 2.93169i 0.958088 + 0.235479i
\(156\) −14.7915 11.4738i −1.18427 0.918637i
\(157\) −14.7527 + 14.7527i −1.17739 + 1.17739i −0.196985 + 0.980407i \(0.563115\pi\)
−0.980407 + 0.196985i \(0.936885\pi\)
\(158\) 11.5525 + 2.01631i 0.919070 + 0.160409i
\(159\) −16.1707 11.7487i −1.28242 0.931730i
\(160\) −12.5039 + 1.91108i −0.988521 + 0.151084i
\(161\) 0.0764431 0.0555391i 0.00602456 0.00437710i
\(162\) 14.2419 6.97691i 1.11895 0.548158i
\(163\) 5.65513 0.895685i 0.442944 0.0701555i 0.0690211 0.997615i \(-0.478012\pi\)
0.373923 + 0.927460i \(0.378012\pi\)
\(164\) −2.07054 + 5.75092i −0.161682 + 0.449071i
\(165\) 1.24792 5.07737i 0.0971503 0.395273i
\(166\) −6.52812 + 19.0667i −0.506681 + 1.47986i
\(167\) 5.51860 + 16.9845i 0.427042 + 1.31430i 0.901025 + 0.433766i \(0.142816\pi\)
−0.473983 + 0.880534i \(0.657184\pi\)
\(168\) −1.29232 + 1.61302i −0.0997045 + 0.124447i
\(169\) 5.40314 1.75559i 0.415626 0.135045i
\(170\) −4.27487 0.427353i −0.327867 0.0327765i
\(171\) −4.06030 7.96880i −0.310499 0.609389i
\(172\) 11.9668 + 6.57900i 0.912461 + 0.501644i
\(173\) 2.12022 13.3865i 0.161197 1.01776i −0.765906 0.642952i \(-0.777709\pi\)
0.927103 0.374806i \(-0.122291\pi\)
\(174\) 11.1136 20.9897i 0.842523 1.59123i
\(175\) −0.749736 1.51146i −0.0566747 0.114255i
\(176\) −1.71516 3.96378i −0.129285 0.298781i
\(177\) −5.93485 8.16861i −0.446090 0.613991i
\(178\) 9.71501 9.41438i 0.728171 0.705638i
\(179\) −13.2984 + 6.77586i −0.993967 + 0.506451i −0.873791 0.486301i \(-0.838346\pi\)
−0.120175 + 0.992753i \(0.538346\pi\)
\(180\) −4.69279 5.92278i −0.349780 0.441458i
\(181\) 5.70125 + 2.90493i 0.423770 + 0.215922i 0.652852 0.757485i \(-0.273572\pi\)
−0.229082 + 0.973407i \(0.573572\pi\)
\(182\) −0.606469 1.97140i −0.0449545 0.146130i
\(183\) −5.81489 17.8964i −0.429849 1.32294i
\(184\) 0.687960 + 0.392422i 0.0507171 + 0.0289298i
\(185\) 1.71774 + 0.722369i 0.126291 + 0.0531096i
\(186\) 13.4532 + 10.1011i 0.986440 + 0.740649i
\(187\) −0.229474 1.44884i −0.0167808 0.105950i
\(188\) 4.84862 + 0.152434i 0.353622 + 0.0111174i
\(189\) 0.945707 + 0.149785i 0.0687901 + 0.0108953i
\(190\) 12.9541 10.5995i 0.939792 0.768969i
\(191\) 9.98689 + 7.25590i 0.722626 + 0.525018i 0.887222 0.461343i \(-0.152632\pi\)
−0.164596 + 0.986361i \(0.552632\pi\)
\(192\) −16.7801 4.30907i −1.21100 0.310980i
\(193\) 21.3259i 1.53508i −0.641004 0.767538i \(-0.721482\pi\)
0.641004 0.767538i \(-0.278518\pi\)
\(194\) −1.68995 + 9.68260i −0.121331 + 0.695170i
\(195\) 20.8736 1.52976i 1.49479 0.109548i
\(196\) 13.2255 3.84218i 0.944677 0.274441i
\(197\) −1.00721 + 0.513197i −0.0717604 + 0.0365638i −0.489502 0.872002i \(-0.662822\pi\)
0.417742 + 0.908566i \(0.362822\pi\)
\(198\) 1.54918 2.06328i 0.110095 0.146631i
\(199\) 2.35601i 0.167013i −0.996507 0.0835065i \(-0.973388\pi\)
0.996507 0.0835065i \(-0.0266119\pi\)
\(200\) 8.96079 10.9409i 0.633624 0.773641i
\(201\) 11.5499i 0.814667i
\(202\) 13.8937 + 10.4318i 0.977560 + 0.733982i
\(203\) 2.33162 1.18802i 0.163647 0.0833825i
\(204\) −5.15629 2.83478i −0.361013 0.198474i
\(205\) −2.58114 6.32755i −0.180274 0.441935i
\(206\) −24.5831 4.29060i −1.71279 0.298940i
\(207\) 0.473148i 0.0328860i
\(208\) 12.9687 11.4329i 0.899219 0.792729i
\(209\) 4.62358 + 3.35923i 0.319820 + 0.232363i
\(210\) −0.132665 2.30701i −0.00915475 0.159199i
\(211\) −9.20296 1.45761i −0.633558 0.100346i −0.168609 0.985683i \(-0.553927\pi\)
−0.464949 + 0.885337i \(0.653927\pi\)
\(212\) 13.4568 12.6365i 0.924216 0.867875i
\(213\) 4.40037 + 27.7828i 0.301508 + 1.90365i
\(214\) 6.06825 8.08205i 0.414817 0.552477i
\(215\) −14.8651 + 3.48425i −1.01379 + 0.237624i
\(216\) 2.11765 + 7.74139i 0.144088 + 0.526735i
\(217\) 0.572794 + 1.76288i 0.0388838 + 0.119672i
\(218\) −4.98478 + 1.53349i −0.337612 + 0.103861i
\(219\) −19.6917 10.0334i −1.33064 0.677994i
\(220\) 4.39014 + 2.01081i 0.295983 + 0.135569i
\(221\) 5.23197 2.66582i 0.351940 0.179323i
\(222\) 1.77612 + 1.83283i 0.119205 + 0.123012i
\(223\) −11.4107 15.7054i −0.764114 1.05171i −0.996861 0.0791750i \(-0.974771\pi\)
0.232747 0.972537i \(-0.425229\pi\)
\(224\) −1.23964 1.45153i −0.0828272 0.0969843i
\(225\) 8.32977 + 1.41141i 0.555318 + 0.0940938i
\(226\) −13.6979 7.25276i −0.911169 0.482446i
\(227\) 2.84577 17.9675i 0.188881 1.19255i −0.692952 0.720984i \(-0.743690\pi\)
0.881833 0.471562i \(-0.156310\pi\)
\(228\) 22.0146 6.39554i 1.45795 0.423555i
\(229\) −9.88142 19.3934i −0.652982 1.28155i −0.945603 0.325321i \(-0.894527\pi\)
0.292621 0.956228i \(-0.405473\pi\)
\(230\) −0.865200 + 0.188505i −0.0570496 + 0.0124296i
\(231\) 0.750395 0.243818i 0.0493724 0.0160421i
\(232\) 17.1181 + 13.7147i 1.12386 + 0.900415i
\(233\) 2.99825 + 9.22767i 0.196422 + 0.604525i 0.999957 + 0.00926720i \(0.00294988\pi\)
−0.803535 + 0.595257i \(0.797050\pi\)
\(234\) 9.77138 + 3.34556i 0.638775 + 0.218706i
\(235\) −4.14304 + 3.50009i −0.270262 + 0.228321i
\(236\) 8.43755 3.97028i 0.549238 0.258443i
\(237\) −17.7366 + 2.80920i −1.15212 + 0.182477i
\(238\) −0.285218 0.582212i −0.0184880 0.0377392i
\(239\) 17.5429 12.7457i 1.13476 0.824451i 0.148378 0.988931i \(-0.452595\pi\)
0.986380 + 0.164480i \(0.0525946\pi\)
\(240\) 17.1668 8.97083i 1.10811 0.579065i
\(241\) 22.4697 + 16.3252i 1.44740 + 1.05160i 0.986430 + 0.164183i \(0.0524987\pi\)
0.460971 + 0.887415i \(0.347501\pi\)
\(242\) 2.39121 13.7005i 0.153713 0.880702i
\(243\) −11.1526 + 11.1526i −0.715437 + 0.715437i
\(244\) 17.2417 2.17791i 1.10378 0.139426i
\(245\) −8.11593 + 13.0853i −0.518508 + 0.835991i
\(246\) 0.147074 9.35854i 0.00937707 0.596679i
\(247\) −7.06948 + 21.7576i −0.449820 + 1.38440i
\(248\) −11.4919 + 10.4564i −0.729734 + 0.663982i
\(249\) 30.8606i 1.95571i
\(250\) 0.737720 + 15.7942i 0.0466575 + 0.998911i
\(251\) −12.3477 + 12.3477i −0.779380 + 0.779380i −0.979725 0.200346i \(-0.935793\pi\)
0.200346 + 0.979725i \(0.435793\pi\)
\(252\) 0.386288 1.07291i 0.0243339 0.0675873i
\(253\) −0.137263 0.269393i −0.00862962 0.0169366i
\(254\) −2.80022 + 2.71357i −0.175701 + 0.170264i
\(255\) 6.40510 1.50130i 0.401103 0.0940153i
\(256\) 6.81318 14.4769i 0.425824 0.904806i
\(257\) 8.40090i 0.524034i −0.965063 0.262017i \(-0.915612\pi\)
0.965063 0.262017i \(-0.0843876\pi\)
\(258\) −20.6000 3.59540i −1.28250 0.223840i
\(259\) 0.0439904 + 0.277744i 0.00273343 + 0.0172582i
\(260\) −2.22474 + 19.2009i −0.137972 + 1.19079i
\(261\) −2.04986 + 12.9423i −0.126883 + 0.801110i
\(262\) 21.2515 + 7.27616i 1.31292 + 0.449523i
\(263\) 8.02478 + 5.83035i 0.494829 + 0.359515i 0.807038 0.590499i \(-0.201069\pi\)
−0.312209 + 0.950013i \(0.601069\pi\)
\(264\) 4.45092 + 4.89168i 0.273935 + 0.301062i
\(265\) −1.73004 + 20.5661i −0.106276 + 1.26336i
\(266\) 2.38968 + 0.818188i 0.146521 + 0.0501663i
\(267\) −9.40468 + 18.4577i −0.575557 + 1.12959i
\(268\) 10.4779 + 1.99890i 0.640038 + 0.122102i
\(269\) 1.01172 1.98562i 0.0616858 0.121065i −0.858105 0.513474i \(-0.828358\pi\)
0.919791 + 0.392409i \(0.128358\pi\)
\(270\) −7.55023 4.84880i −0.459493 0.295089i
\(271\) 4.26385 13.1228i 0.259011 0.797153i −0.734002 0.679147i \(-0.762350\pi\)
0.993013 0.118006i \(-0.0376501\pi\)
\(272\) 3.46404 4.18710i 0.210039 0.253880i
\(273\) 1.85647 + 2.55520i 0.112358 + 0.154648i
\(274\) −7.04224 + 13.3003i −0.425438 + 0.803500i
\(275\) −5.15212 + 1.61290i −0.310685 + 0.0972618i
\(276\) −1.19132 0.227271i −0.0717088 0.0136801i
\(277\) 14.4164 + 2.28333i 0.866195 + 0.137192i 0.573690 0.819072i \(-0.305511\pi\)
0.292505 + 0.956264i \(0.405511\pi\)
\(278\) −13.2941 0.208923i −0.797327 0.0125303i
\(279\) −8.82751 2.86823i −0.528489 0.171717i
\(280\) 2.11584 + 0.278913i 0.126445 + 0.0166683i
\(281\) 26.0445 8.46237i 1.55368 0.504823i 0.598573 0.801069i \(-0.295735\pi\)
0.955112 + 0.296246i \(0.0957348\pi\)
\(282\) −7.09994 + 2.18418i −0.422795 + 0.130066i
\(283\) −1.25983 + 2.47255i −0.0748891 + 0.146978i −0.925415 0.378955i \(-0.876284\pi\)
0.850526 + 0.525933i \(0.176284\pi\)
\(284\) −25.9657 0.816325i −1.54078 0.0484400i
\(285\) −13.5095 + 21.7813i −0.800231 + 1.29021i
\(286\) −6.53403 + 0.929890i −0.386366 + 0.0549855i
\(287\) 0.606159 0.834306i 0.0357804 0.0492475i
\(288\) 9.52894 0.749648i 0.561498 0.0441734i
\(289\) −12.2601 + 8.90747i −0.721181 + 0.523969i
\(290\) −24.4831 + 1.40791i −1.43770 + 0.0826750i
\(291\) −2.35450 14.8657i −0.138023 0.871443i
\(292\) 12.5101 16.1275i 0.732097 0.943790i
\(293\) 21.7840 + 21.7840i 1.27263 + 1.27263i 0.944701 + 0.327933i \(0.106352\pi\)
0.327933 + 0.944701i \(0.393648\pi\)
\(294\) −17.2543 + 12.1264i −1.00629 + 0.707225i
\(295\) −4.04152 + 9.61043i −0.235307 + 0.559541i
\(296\) −1.97010 + 1.29406i −0.114510 + 0.0752159i
\(297\) 0.946769 2.91386i 0.0549371 0.169079i
\(298\) −11.9993 9.00944i −0.695100 0.521903i
\(299\) 0.855805 0.855805i 0.0494925 0.0494925i
\(300\) −7.55482 + 20.2952i −0.436178 + 1.17174i
\(301\) −1.62920 1.62920i −0.0939053 0.0939053i
\(302\) 13.1218 1.86742i 0.755073 0.107458i
\(303\) −25.3027 8.22133i −1.45360 0.472303i
\(304\) 1.99194 + 21.0781i 0.114246 + 1.20891i
\(305\) −12.6981 + 14.7065i −0.727091 + 0.842091i
\(306\) 3.19809 + 0.558176i 0.182823 + 0.0319088i
\(307\) −17.3242 + 17.3242i −0.988746 + 0.988746i −0.999937 0.0111910i \(-0.996438\pi\)
0.0111910 + 0.999937i \(0.496438\pi\)
\(308\) 0.0913198 + 0.722943i 0.00520343 + 0.0411935i
\(309\) 37.7425 5.97782i 2.14710 0.340066i
\(310\) 1.72794 17.2848i 0.0981402 0.981709i
\(311\) −17.4879 24.0700i −0.991648 1.36489i −0.930312 0.366769i \(-0.880464\pi\)
−0.0613360 0.998117i \(-0.519536\pi\)
\(312\) −13.1172 + 22.9959i −0.742616 + 1.30189i
\(313\) 23.5173 + 17.0863i 1.32927 + 0.965774i 0.999766 + 0.0216217i \(0.00688295\pi\)
0.329508 + 0.944153i \(0.393117\pi\)
\(314\) 23.5949 + 17.7157i 1.33153 + 0.999757i
\(315\) 0.481548 + 1.18049i 0.0271321 + 0.0665133i
\(316\) 0.521143 16.5765i 0.0293166 0.932502i
\(317\) 18.6155 + 9.48505i 1.04555 + 0.532733i 0.890410 0.455160i \(-0.150418\pi\)
0.155138 + 0.987893i \(0.450418\pi\)
\(318\) −13.2273 + 24.9816i −0.741750 + 1.40090i
\(319\) −2.58752 7.96357i −0.144873 0.445874i
\(320\) 5.16719 + 17.1260i 0.288855 + 0.957373i
\(321\) −4.78239 + 14.7187i −0.266927 + 0.821516i
\(322\) −0.0929924 0.0959619i −0.00518227 0.00534775i
\(323\) −1.12491 + 7.10239i −0.0625916 + 0.395188i
\(324\) −12.6062 18.5499i −0.700344 1.03055i
\(325\) −12.5136 17.6193i −0.694128 0.977344i
\(326\) −2.38087 7.73932i −0.131864 0.428641i
\(327\) 6.46095 4.69416i 0.357292 0.259588i
\(328\) 8.46446 + 1.75307i 0.467372 + 0.0967970i
\(329\) −0.778399 0.252917i −0.0429145 0.0139438i
\(330\) −7.35752 0.735522i −0.405018 0.0404891i
\(331\) −8.24078 4.19889i −0.452954 0.230792i 0.212603 0.977139i \(-0.431806\pi\)
−0.665557 + 0.746347i \(0.731806\pi\)
\(332\) 27.9962 + 5.34091i 1.53649 + 0.293121i
\(333\) −1.25465 0.639276i −0.0687544 0.0350321i
\(334\) 22.6805 11.1109i 1.24102 0.607961i
\(335\) −10.2019 + 6.17643i −0.557389 + 0.337454i
\(336\) 2.51589 + 1.48798i 0.137253 + 0.0811759i
\(337\) −6.41167 + 8.82491i −0.349266 + 0.480724i −0.947119 0.320882i \(-0.896021\pi\)
0.597853 + 0.801606i \(0.296021\pi\)
\(338\) −3.53461 7.21516i −0.192258 0.392453i
\(339\) 23.4420 + 3.71285i 1.27319 + 0.201654i
\(340\) 0.253452 + 6.07042i 0.0137454 + 0.329215i
\(341\) 5.85815 0.927840i 0.317237 0.0502454i
\(342\) −10.3481 + 7.27269i −0.559562 + 0.393262i
\(343\) −4.68570 −0.253004
\(344\) 6.82684 18.0657i 0.368079 0.974038i
\(345\) 1.15994 0.702249i 0.0624490 0.0378078i
\(346\) −19.1650 0.301186i −1.03032 0.0161919i
\(347\) 5.38900 2.74583i 0.289296 0.147404i −0.303320 0.952889i \(-0.598095\pi\)
0.592616 + 0.805485i \(0.298095\pi\)
\(348\) −31.6023 11.3780i −1.69406 0.609923i
\(349\) −6.78894 6.78894i −0.363404 0.363404i 0.501661 0.865064i \(-0.332723\pi\)
−0.865064 + 0.501661i \(0.832723\pi\)
\(350\) −1.96681 + 1.35088i −0.105130 + 0.0722074i
\(351\) 12.2644 0.654625
\(352\) −5.20795 + 3.19122i −0.277585 + 0.170092i
\(353\) 8.27300 + 2.68806i 0.440328 + 0.143071i 0.520787 0.853687i \(-0.325639\pi\)
−0.0804592 + 0.996758i \(0.525639\pi\)
\(354\) −10.2544 + 9.93706i −0.545014 + 0.528149i
\(355\) 22.1871 18.7439i 1.17757 0.994825i
\(356\) −15.1169 11.7262i −0.801194 0.621486i
\(357\) 0.701993 + 0.701993i 0.0371534 + 0.0371534i
\(358\) 12.1367 + 17.2690i 0.641444 + 0.912695i
\(359\) −13.7351 + 18.9047i −0.724911 + 0.997754i 0.274436 + 0.961605i \(0.411509\pi\)
−0.999346 + 0.0361486i \(0.988491\pi\)
\(360\) −7.35745 + 7.75056i −0.387772 + 0.408490i
\(361\) −5.29943 7.29404i −0.278917 0.383897i
\(362\) 2.93120 8.56117i 0.154061 0.449965i
\(363\) 3.33152 + 21.0344i 0.174859 + 1.10402i
\(364\) −2.63933 + 1.24193i −0.138338 + 0.0650951i
\(365\) 1.66793 + 22.7589i 0.0873032 + 1.19125i
\(366\) −23.8982 + 11.7074i −1.24918 + 0.611956i
\(367\) 4.85089 1.57615i 0.253215 0.0822744i −0.179659 0.983729i \(-0.557500\pi\)
0.432874 + 0.901454i \(0.357500\pi\)
\(368\) 0.412353 1.04141i 0.0214954 0.0542872i
\(369\) 1.59575 + 4.91123i 0.0830717 + 0.255668i
\(370\) 0.669124 2.54895i 0.0347861 0.132514i
\(371\) −2.77506 + 1.41396i −0.144074 + 0.0734092i
\(372\) 11.4620 20.8487i 0.594277 1.08095i
\(373\) −8.87524 1.40570i −0.459543 0.0727844i −0.0776288 0.996982i \(-0.524735\pi\)
−0.381914 + 0.924198i \(0.624735\pi\)
\(374\) −1.98280 + 0.609977i −0.102528 + 0.0315412i
\(375\) −8.90299 22.5155i −0.459748 1.16270i
\(376\) −0.752692 6.81896i −0.0388171 0.351661i
\(377\) 27.1171 19.7017i 1.39660 1.01469i
\(378\) 0.0212777 1.35394i 0.00109441 0.0696390i
\(379\) −7.24669 14.2224i −0.372238 0.730557i 0.626571 0.779365i \(-0.284458\pi\)
−0.998808 + 0.0488073i \(0.984458\pi\)
\(380\) −17.4216 16.0252i −0.893711 0.822073i
\(381\) 2.71077 5.32019i 0.138877 0.272562i
\(382\) 8.16908 15.4285i 0.417967 0.789390i
\(383\) 28.4178 9.23349i 1.45208 0.471809i 0.526439 0.850213i \(-0.323527\pi\)
0.925641 + 0.378404i \(0.123527\pi\)
\(384\) −2.68961 + 24.3526i −0.137254 + 1.24274i
\(385\) −0.616643 0.532431i −0.0314271 0.0271352i
\(386\) −29.8586 + 4.24932i −1.51976 + 0.216285i
\(387\) 11.3953 1.80483i 0.579254 0.0917448i
\(388\) 13.8934 + 0.436789i 0.705330 + 0.0221746i
\(389\) 4.50057 28.4155i 0.228188 1.44072i −0.561634 0.827386i \(-0.689827\pi\)
0.789822 0.613336i \(-0.210173\pi\)
\(390\) −6.30100 28.9204i −0.319064 1.46444i
\(391\) 0.223608 0.307771i 0.0113084 0.0155646i
\(392\) −8.01471 17.7515i −0.404804 0.896586i
\(393\) −34.3968 −1.73509
\(394\) 0.919222 + 1.30794i 0.0463097 + 0.0658929i
\(395\) 11.9662 + 14.1643i 0.602083 + 0.712683i
\(396\) −3.19750 1.75789i −0.160680 0.0883374i
\(397\) 1.50049 + 2.94487i 0.0753072 + 0.147799i 0.925590 0.378527i \(-0.123569\pi\)
−0.850283 + 0.526326i \(0.823569\pi\)
\(398\) −3.29866 + 0.469448i −0.165347 + 0.0235313i
\(399\) −3.86784 −0.193634
\(400\) −17.1040 10.3660i −0.855198 0.518301i
\(401\) 14.0370 0.700976 0.350488 0.936567i \(-0.386016\pi\)
0.350488 + 0.936567i \(0.386016\pi\)
\(402\) −16.1711 + 2.30138i −0.806541 + 0.114783i
\(403\) 10.7788 + 21.1547i 0.536932 + 1.05379i
\(404\) 11.8373 21.5313i 0.588927 1.07122i
\(405\) 24.3506 + 5.98490i 1.20999 + 0.297392i
\(406\) −2.12794 3.02779i −0.105608 0.150267i
\(407\) 0.899809 0.0446019
\(408\) −2.94157 + 7.78421i −0.145629 + 0.385376i
\(409\) −16.7230 + 23.0173i −0.826900 + 1.13813i 0.161592 + 0.986858i \(0.448337\pi\)
−0.988492 + 0.151272i \(0.951663\pi\)
\(410\) −8.34494 + 4.87467i −0.412127 + 0.240743i
\(411\) 3.60508 22.7616i 0.177826 1.12275i
\(412\) −1.10896 + 35.2739i −0.0546347 + 1.73782i
\(413\) −1.55393 + 0.246118i −0.0764639 + 0.0121107i
\(414\) 0.662457 0.0942774i 0.0325580 0.00463348i
\(415\) −27.2588 + 16.5030i −1.33808 + 0.810100i
\(416\) −18.5914 15.8795i −0.911517 0.778558i
\(417\) 19.3632 6.29147i 0.948218 0.308095i
\(418\) 3.78200 7.14285i 0.184984 0.349368i
\(419\) −13.5902 + 26.6723i −0.663924 + 1.30302i 0.275841 + 0.961203i \(0.411044\pi\)
−0.939765 + 0.341821i \(0.888956\pi\)
\(420\) −3.20362 + 0.645429i −0.156321 + 0.0314937i
\(421\) −9.72797 19.0922i −0.474112 0.930497i −0.996948 0.0780641i \(-0.975126\pi\)
0.522836 0.852433i \(-0.324874\pi\)
\(422\) −0.207060 + 13.1756i −0.0100795 + 0.641376i
\(423\) 3.31566 2.40897i 0.161213 0.117128i
\(424\) −20.3737 16.3230i −0.989435 0.792717i
\(425\) −4.75127 4.85471i −0.230471 0.235488i
\(426\) 38.0221 11.6969i 1.84218 0.566715i
\(427\) −2.89601 0.458682i −0.140148 0.0221972i
\(428\) −12.5249 6.88580i −0.605412 0.332838i
\(429\) 9.00479 4.58817i 0.434756 0.221519i
\(430\) 7.84027 + 20.1184i 0.378091 + 0.970195i
\(431\) 3.12790 + 9.62670i 0.150666 + 0.463702i 0.997696 0.0678430i \(-0.0216117\pi\)
−0.847030 + 0.531545i \(0.821612\pi\)
\(432\) 10.4168 4.50745i 0.501179 0.216865i
\(433\) −16.7538 + 5.44364i −0.805136 + 0.261605i −0.682536 0.730852i \(-0.739123\pi\)
−0.122600 + 0.992456i \(0.539123\pi\)
\(434\) 2.35408 1.15324i 0.113000 0.0553571i
\(435\) 34.7710 14.1838i 1.66714 0.680061i
\(436\) 3.14029 + 6.67367i 0.150393 + 0.319611i
\(437\) 0.231858 + 1.46389i 0.0110913 + 0.0700276i
\(438\) −10.1241 + 29.5696i −0.483750 + 1.41289i
\(439\) 15.2588 + 21.0019i 0.728261 + 1.00236i 0.999209 + 0.0397709i \(0.0126628\pi\)
−0.270948 + 0.962594i \(0.587337\pi\)
\(440\) 1.94059 6.54732i 0.0925140 0.312131i
\(441\) 6.83917 9.41331i 0.325675 0.448253i
\(442\) −4.77493 6.79413i −0.227120 0.323164i
\(443\) −27.7820 27.7820i −1.31996 1.31996i −0.913802 0.406159i \(-0.866868\pi\)
−0.406159 0.913802i \(-0.633132\pi\)
\(444\) 2.21226 2.85196i 0.104989 0.135348i
\(445\) 21.3327 1.56341i 1.01127 0.0741127i
\(446\) −19.7156 + 19.1055i −0.933561 + 0.904672i
\(447\) 21.8526 + 7.10033i 1.03359 + 0.335834i
\(448\) −1.78529 + 2.02486i −0.0843468 + 0.0956656i
\(449\) −10.8418 −0.511654 −0.255827 0.966723i \(-0.582348\pi\)
−0.255827 + 0.966723i \(0.582348\pi\)
\(450\) 0.316365 11.9438i 0.0149136 0.563035i
\(451\) −2.33334 2.33334i −0.109873 0.109873i
\(452\) −7.42525 + 20.6236i −0.349254 + 0.970054i
\(453\) −18.0836 + 9.21406i −0.849642 + 0.432914i
\(454\) −25.7235 0.404255i −1.20726 0.0189726i
\(455\) 1.26422 3.00622i 0.0592675 0.140934i
\(456\) −13.3410 29.5484i −0.624748 1.38373i
\(457\) −28.4452 −1.33061 −0.665304 0.746572i \(-0.731698\pi\)
−0.665304 + 0.746572i \(0.731698\pi\)
\(458\) −25.1838 + 17.6993i −1.17676 + 0.827033i
\(459\) 3.80755 0.603057i 0.177721 0.0281483i
\(460\) 0.436323 + 1.17381i 0.0203437 + 0.0547292i
\(461\) 38.9087 + 6.16253i 1.81216 + 0.287018i 0.968345 0.249617i \(-0.0803049\pi\)
0.843814 + 0.536635i \(0.180305\pi\)
\(462\) −0.490892 1.00205i −0.0228384 0.0466196i
\(463\) 2.59949 3.57789i 0.120809 0.166279i −0.744329 0.667813i \(-0.767231\pi\)
0.865138 + 0.501534i \(0.167231\pi\)
\(464\) 15.7912 26.6999i 0.733087 1.23951i
\(465\) 6.07029 + 25.8980i 0.281503 + 1.20099i
\(466\) 12.3223 6.03653i 0.570819 0.279637i
\(467\) −32.2563 16.4354i −1.49264 0.760539i −0.498324 0.866991i \(-0.666051\pi\)
−0.994318 + 0.106451i \(0.966051\pi\)
\(468\) 2.73713 14.3476i 0.126524 0.663218i
\(469\) −1.60354 0.817045i −0.0740446 0.0377276i
\(470\) 5.72603 + 5.10328i 0.264122 + 0.235397i
\(471\) −42.9699 13.9618i −1.97995 0.643324i
\(472\) −7.24005 11.0224i −0.333250 0.507345i
\(473\) −5.96446 + 4.33343i −0.274246 + 0.199251i
\(474\) 7.46730 + 24.2734i 0.342985 + 1.11491i
\(475\) 26.4635 + 0.284956i 1.21423 + 0.0130747i
\(476\) −0.758328 + 0.515345i −0.0347579 + 0.0236208i
\(477\) 2.43972 15.4038i 0.111707 0.705290i
\(478\) −21.3409 22.0223i −0.976108 1.00728i
\(479\) −6.68957 + 20.5884i −0.305654 + 0.940707i 0.673778 + 0.738934i \(0.264670\pi\)
−0.979432 + 0.201773i \(0.935330\pi\)
\(480\) −15.9807 22.2479i −0.729416 1.01547i
\(481\) 1.11306 + 3.42563i 0.0507510 + 0.156195i
\(482\) 18.3798 34.7129i 0.837176 1.58113i
\(483\) 0.182320 + 0.0928966i 0.00829584 + 0.00422694i
\(484\) −19.6586 0.618040i −0.893574 0.0280927i
\(485\) −11.8716 + 10.0293i −0.539062 + 0.455406i
\(486\) 17.8370 + 13.3926i 0.809102 + 0.607498i
\(487\) 12.4896 + 9.07421i 0.565957 + 0.411192i 0.833634 0.552317i \(-0.186256\pi\)
−0.267677 + 0.963509i \(0.586256\pi\)
\(488\) −6.48481 23.7062i −0.293553 1.07313i
\(489\) 7.28810 + 10.0312i 0.329579 + 0.453627i
\(490\) 19.9380 + 8.75583i 0.900707 + 0.395548i
\(491\) −10.8516 + 1.71873i −0.489727 + 0.0775651i −0.396414 0.918072i \(-0.629746\pi\)
−0.0933126 + 0.995637i \(0.529746\pi\)
\(492\) −13.1323 + 1.65883i −0.592048 + 0.0747856i
\(493\) 7.44990 7.44990i 0.335526 0.335526i
\(494\) 31.8716 + 5.56269i 1.43397 + 0.250277i
\(495\) 3.97190 0.930982i 0.178524 0.0418445i
\(496\) 16.9299 + 14.0063i 0.760174 + 0.628902i
\(497\) 4.16854 + 1.35444i 0.186984 + 0.0607549i
\(498\) −43.2081 + 6.14914i −1.93620 + 0.275550i
\(499\) 18.8806 + 18.8806i 0.845211 + 0.845211i 0.989531 0.144320i \(-0.0460995\pi\)
−0.144320 + 0.989531i \(0.546099\pi\)
\(500\) 21.9665 4.17997i 0.982373 0.186934i
\(501\) −27.3466 + 27.3466i −1.22176 + 1.22176i
\(502\) 19.7484 + 14.8277i 0.881416 + 0.661794i
\(503\) 6.21176 19.1178i 0.276969 0.852422i −0.711723 0.702460i \(-0.752085\pi\)
0.988692 0.149962i \(-0.0479150\pi\)
\(504\) −1.57916 0.327060i −0.0703416 0.0145684i
\(505\) 6.26905 + 26.7460i 0.278969 + 1.19018i
\(506\) −0.349828 + 0.245860i −0.0155518 + 0.0109298i
\(507\) 8.69956 + 8.69956i 0.386361 + 0.386361i
\(508\) 4.35724 + 3.37991i 0.193321 + 0.149959i
\(509\) 3.23499 + 20.4249i 0.143388 + 0.905319i 0.949548 + 0.313621i \(0.101542\pi\)
−0.806160 + 0.591698i \(0.798458\pi\)
\(510\) −3.37824 8.66867i −0.149591 0.383855i
\(511\) −2.78599 + 2.02414i −0.123245 + 0.0895427i
\(512\) −21.6268 6.65458i −0.955777 0.294093i
\(513\) −8.82805 + 12.1508i −0.389768 + 0.536470i
\(514\) −11.7622 + 1.67393i −0.518806 + 0.0738338i
\(515\) −25.4633 30.1408i −1.12205 1.32816i
\(516\) −0.929280 + 29.5586i −0.0409093 + 1.30124i
\(517\) −1.18896 + 2.33347i −0.0522904 + 0.102626i
\(518\) 0.380106 0.116933i 0.0167009 0.00513776i
\(519\) 27.9143 9.06990i 1.22530 0.398124i
\(520\) 27.3266 0.711025i 1.19835 0.0311805i
\(521\) −7.15296 2.32414i −0.313377 0.101822i 0.148106 0.988972i \(-0.452682\pi\)
−0.461483 + 0.887149i \(0.652682\pi\)
\(522\) 18.5291 + 0.291193i 0.810996 + 0.0127452i
\(523\) −8.59081 1.36065i −0.375650 0.0594971i −0.0342450 0.999413i \(-0.510903\pi\)
−0.341405 + 0.939916i \(0.610903\pi\)
\(524\) 5.95291 31.2042i 0.260054 1.36316i
\(525\) 2.17931 2.93263i 0.0951128 0.127990i
\(526\) 6.56412 12.3973i 0.286209 0.540547i
\(527\) 4.38655 + 6.03757i 0.191081 + 0.263001i
\(528\) 5.96200 7.20646i 0.259463 0.313621i
\(529\) −7.08316 + 21.7997i −0.307964 + 0.947814i
\(530\) 29.1394 1.67567i 1.26573 0.0727863i
\(531\) 3.57663 7.01954i 0.155213 0.304622i
\(532\) 0.669392 3.50884i 0.0290218 0.152127i
\(533\) 5.99685 11.7695i 0.259753 0.509793i
\(534\) 27.7167 + 9.48974i 1.19942 + 0.410661i
\(535\) 15.5583 3.64673i 0.672642 0.157662i
\(536\) 0.710889 15.0684i 0.0307057 0.650857i
\(537\) −26.1485 18.9980i −1.12839 0.819826i
\(538\) −2.98167 1.02087i −0.128549 0.0440130i
\(539\) −1.16312 + 7.34368i −0.0500993 + 0.316315i
\(540\) −5.28441 + 11.5373i −0.227405 + 0.496485i
\(541\) −1.01848 6.43040i −0.0437877 0.276464i 0.956074 0.293127i \(-0.0946959\pi\)
−0.999861 + 0.0166626i \(0.994696\pi\)
\(542\) −19.2229 3.35505i −0.825694 0.144112i
\(543\) 13.8567i 0.594650i
\(544\) −6.55262 4.01573i −0.280941 0.172173i
\(545\) −7.60135 3.19664i −0.325606 0.136929i
\(546\) 3.20765 3.10839i 0.137275 0.133027i
\(547\) 13.3685 + 26.2371i 0.571594 + 1.12182i 0.978094 + 0.208165i \(0.0667492\pi\)
−0.406500 + 0.913651i \(0.633251\pi\)
\(548\) 20.0250 + 7.20973i 0.855426 + 0.307984i
\(549\) 10.3820 10.3820i 0.443093 0.443093i
\(550\) 3.28483 + 6.89214i 0.140066 + 0.293882i
\(551\) 41.0474i 1.74868i
\(552\) −0.0808269 + 1.71325i −0.00344022 + 0.0729210i
\(553\) −0.864677 + 2.66120i −0.0367698 + 0.113166i
\(554\) 0.324357 20.6394i 0.0137806 0.876884i
\(555\) 0.294953 + 4.02463i 0.0125200 + 0.170836i
\(556\) 2.35641 + 18.6548i 0.0999342 + 0.791139i
\(557\) 26.7263 26.7263i 1.13243 1.13243i 0.142656 0.989772i \(-0.454436\pi\)
0.989772 0.142656i \(-0.0455642\pi\)
\(558\) −2.25690 + 12.9310i −0.0955421 + 0.547412i
\(559\) −23.8756 17.3467i −1.00983 0.733686i
\(560\) −0.0310847 3.01797i −0.00131357 0.127533i
\(561\) 2.56998 1.86720i 0.108505 0.0788333i
\(562\) −17.0377 34.7789i −0.718693 1.46706i
\(563\) −15.7912 + 2.50108i −0.665521 + 0.105408i −0.480049 0.877242i \(-0.659381\pi\)
−0.185471 + 0.982650i \(0.559381\pi\)
\(564\) 4.47279 + 9.50546i 0.188338 + 0.400252i
\(565\) −9.25633 22.6915i −0.389417 0.954640i
\(566\) 3.71287 + 1.27122i 0.156063 + 0.0534335i
\(567\) 1.16933 + 3.59882i 0.0491072 + 0.151136i
\(568\) 4.03087 + 36.5174i 0.169131 + 1.53223i
\(569\) 10.5520 3.42854i 0.442362 0.143732i −0.0793633 0.996846i \(-0.525289\pi\)
0.521725 + 0.853114i \(0.325289\pi\)
\(570\) 33.1880 + 14.5746i 1.39009 + 0.610463i
\(571\) −9.43266 18.5126i −0.394745 0.774730i 0.605025 0.796207i \(-0.293163\pi\)
−0.999769 + 0.0214769i \(0.993163\pi\)
\(572\) 2.60389 + 8.96305i 0.108874 + 0.374764i
\(573\) −4.18194 + 26.4037i −0.174703 + 1.10303i
\(574\) −1.28890 0.682446i −0.0537975 0.0284848i
\(575\) −1.24058 0.649025i −0.0517356 0.0270662i
\(576\) −2.94828 13.1922i −0.122845 0.549673i
\(577\) 4.61654 + 6.35412i 0.192189 + 0.264525i 0.894227 0.447614i \(-0.147726\pi\)
−0.702038 + 0.712140i \(0.747726\pi\)
\(578\) 14.9143 + 15.3905i 0.620353 + 0.640162i
\(579\) 41.1492 20.9666i 1.71010 0.871341i
\(580\) 6.84961 + 33.9984i 0.284415 + 1.41171i
\(581\) −4.28455 2.18309i −0.177753 0.0905698i
\(582\) −20.3444 + 6.25862i −0.843303 + 0.259428i
\(583\) 3.07963 + 9.47812i 0.127545 + 0.392543i
\(584\) −25.0729 14.3020i −1.03752 0.591819i
\(585\) 8.45752 + 13.9697i 0.349675 + 0.577575i
\(586\) 26.1593 34.8405i 1.08063 1.43925i
\(587\) 0.414128 + 2.61470i 0.0170929 + 0.107920i 0.994760 0.102241i \(-0.0326012\pi\)
−0.977667 + 0.210161i \(0.932601\pi\)
\(588\) 20.4162 + 21.7416i 0.841951 + 0.896609i
\(589\) −28.7174 4.54839i −1.18328 0.187413i
\(590\) 14.2609 + 3.74363i 0.587113 + 0.154123i
\(591\) −1.98047 1.43889i −0.0814655 0.0591881i
\(592\) 2.20438 + 2.50050i 0.0905994 + 0.102770i
\(593\) 24.9723i 1.02549i −0.858541 0.512744i \(-0.828629\pi\)
0.858541 0.512744i \(-0.171371\pi\)
\(594\) −4.26836 0.744975i −0.175133 0.0305667i
\(595\) 0.244664 0.995460i 0.0100303 0.0408099i
\(596\) −10.2232 + 18.5955i −0.418760 + 0.761700i
\(597\) 4.54601 2.31631i 0.186056 0.0948001i
\(598\) −1.36874 1.02769i −0.0559720 0.0420255i
\(599\) 31.8153i 1.29994i −0.759961 0.649968i \(-0.774782\pi\)
0.759961 0.649968i \(-0.225218\pi\)
\(600\) 29.9208 + 6.53362i 1.22151 + 0.266734i
\(601\) 36.7619i 1.49955i 0.661694 + 0.749774i \(0.269838\pi\)
−0.661694 + 0.749774i \(0.730162\pi\)
\(602\) −1.95642 + 2.60567i −0.0797378 + 0.106199i
\(603\) 8.02964 4.09131i 0.326992 0.166611i
\(604\) −5.22918 17.9998i −0.212772 0.732401i
\(605\) 16.7979 14.1910i 0.682931 0.576948i
\(606\) −6.46904 + 37.0646i −0.262787 + 1.50564i
\(607\) 2.22253i 0.0902095i 0.998982 + 0.0451048i \(0.0143622\pi\)
−0.998982 + 0.0451048i \(0.985638\pi\)
\(608\) 29.1147 6.98887i 1.18076 0.283436i
\(609\) 4.58465 + 3.33095i 0.185780 + 0.134977i
\(610\) 23.1208 + 14.8483i 0.936134 + 0.601191i
\(611\) −10.3544 1.63998i −0.418894 0.0663463i
\(612\) 0.144268 4.58888i 0.00583170 0.185495i
\(613\) −0.267111 1.68647i −0.0107885 0.0681159i 0.981707 0.190399i \(-0.0609783\pi\)
−0.992495 + 0.122283i \(0.960978\pi\)
\(614\) 27.7077 + 20.8038i 1.11819 + 0.839574i
\(615\) 9.67161 11.2013i 0.389997 0.451681i
\(616\) 0.994001 0.271908i 0.0400494 0.0109555i
\(617\) −8.18889 25.2028i −0.329672 1.01463i −0.969287 0.245932i \(-0.920906\pi\)
0.639615 0.768696i \(-0.279094\pi\)
\(618\) −15.8900 51.6524i −0.639189 2.07776i
\(619\) 37.7463 + 19.2327i 1.51715 + 0.773027i 0.996724 0.0808797i \(-0.0257730\pi\)
0.520427 + 0.853906i \(0.325773\pi\)
\(620\) −24.5448 + 1.02480i −0.985743 + 0.0411568i
\(621\) 0.707965 0.360726i 0.0284097 0.0144754i
\(622\) −30.2160 + 29.2810i −1.21155 + 1.17406i
\(623\) 1.89730 + 2.61141i 0.0760138 + 0.104624i
\(624\) 34.8104 + 13.7834i 1.39353 + 0.551778i
\(625\) −15.1267 + 19.9043i −0.605070 + 0.796172i
\(626\) 19.2367 36.3312i 0.768852 1.45209i
\(627\) −1.93609 + 12.2240i −0.0773200 + 0.488179i
\(628\) 20.1025 36.5653i 0.802178 1.45911i
\(629\) 0.513997 + 1.00878i 0.0204944 + 0.0402226i
\(630\) 1.55687 0.909438i 0.0620271 0.0362329i
\(631\) −10.6741 + 3.46822i −0.424929 + 0.138068i −0.513672 0.857987i \(-0.671715\pi\)
0.0887429 + 0.996055i \(0.471715\pi\)
\(632\) −23.3127 + 2.57331i −0.927331 + 0.102361i
\(633\) −6.23538 19.1905i −0.247834 0.762754i
\(634\) 9.57084 27.9536i 0.380106 1.11018i
\(635\) −6.14887 + 0.450632i −0.244011 + 0.0178828i
\(636\) 37.6125 + 13.5419i 1.49143 + 0.536970i
\(637\) −29.3967 + 4.65597i −1.16474 + 0.184476i
\(638\) −10.6343 + 5.20959i −0.421014 + 0.206250i
\(639\) −17.7562 + 12.9007i −0.702426 + 0.510342i
\(640\) 22.9486 10.6471i 0.907124 0.420863i
\(641\) −9.43533 6.85517i −0.372673 0.270763i 0.385645 0.922647i \(-0.373979\pi\)
−0.758319 + 0.651884i \(0.773979\pi\)
\(642\) 21.5606 + 3.76307i 0.850930 + 0.148516i
\(643\) 23.6810 23.6810i 0.933886 0.933886i −0.0640601 0.997946i \(-0.520405\pi\)
0.997946 + 0.0640601i \(0.0204049\pi\)
\(644\) −0.115828 + 0.149320i −0.00456425 + 0.00588404i
\(645\) −21.3375 25.2571i −0.840165 0.994499i
\(646\) 10.1682 + 0.159798i 0.400064 + 0.00628718i
\(647\) 6.00640 18.4858i 0.236136 0.726751i −0.760833 0.648948i \(-0.775209\pi\)
0.996969 0.0778035i \(-0.0247907\pi\)
\(648\) −23.4600 + 21.3462i −0.921597 + 0.838558i
\(649\) 5.03427i 0.197612i
\(650\) −22.1755 + 21.0311i −0.869796 + 0.824907i
\(651\) −2.83840 + 2.83840i −0.111246 + 0.111246i
\(652\) −10.3615 + 4.87558i −0.405786 + 0.190942i
\(653\) −11.0000 21.5887i −0.430464 0.844832i −0.999743 0.0226879i \(-0.992778\pi\)
0.569279 0.822144i \(-0.307222\pi\)
\(654\) −7.85970 8.11068i −0.307339 0.317153i
\(655\) 18.3940 + 30.3823i 0.718714 + 1.18713i
\(656\) 0.767890 12.2004i 0.0299811 0.476348i
\(657\) 17.2440i 0.672753i
\(658\) −0.199010 + 1.14024i −0.00775823 + 0.0444510i
\(659\) −0.596486 3.76606i −0.0232358 0.146705i 0.973343 0.229355i \(-0.0736617\pi\)
−0.996579 + 0.0826499i \(0.973662\pi\)
\(660\) 0.436219 + 10.4479i 0.0169798 + 0.406682i
\(661\) 5.64145 35.6187i 0.219427 1.38541i −0.594340 0.804214i \(-0.702586\pi\)
0.813766 0.581192i \(-0.197414\pi\)
\(662\) −4.23687 + 12.3746i −0.164670 + 0.480953i
\(663\) 10.2876 + 7.47439i 0.399538 + 0.290281i
\(664\) 1.89945 40.2618i 0.0737129 1.56246i
\(665\) 2.06837 + 3.41642i 0.0802078 + 0.132483i
\(666\) −0.645058 + 1.88402i −0.0249955 + 0.0730043i
\(667\) 0.985864 1.93487i 0.0381728 0.0749184i
\(668\) −20.0756 29.5412i −0.776750 1.14298i
\(669\) 19.0858 37.4580i 0.737901 1.44821i
\(670\) 10.6804 + 13.0530i 0.412621 + 0.504283i
\(671\) −2.89926 + 8.92300i −0.111925 + 0.344468i
\(672\) 1.58202 3.81901i 0.0610279 0.147321i
\(673\) 5.81725 + 8.00676i 0.224239 + 0.308638i 0.906282 0.422674i \(-0.138908\pi\)
−0.682043 + 0.731312i \(0.738908\pi\)
\(674\) 13.6334 + 7.21861i 0.525138 + 0.278050i
\(675\) −4.23872 13.5398i −0.163148 0.521146i
\(676\) −9.39769 + 6.38650i −0.361450 + 0.245635i
\(677\) 2.02844 + 0.321273i 0.0779593 + 0.0123475i 0.195292 0.980745i \(-0.437434\pi\)
−0.117333 + 0.993093i \(0.537434\pi\)
\(678\) 0.527427 33.5611i 0.0202557 1.28891i
\(679\) −2.23045 0.724717i −0.0855968 0.0278121i
\(680\) 8.44873 1.56443i 0.323994 0.0599930i
\(681\) 37.4668 12.1737i 1.43573 0.466497i
\(682\) −2.46635 8.01716i −0.0944413 0.306993i
\(683\) 11.1722 21.9267i 0.427494 0.839003i −0.572326 0.820026i \(-0.693959\pi\)
0.999820 0.0189774i \(-0.00604107\pi\)
\(684\) 12.2445 + 13.0393i 0.468178 + 0.498572i
\(685\) −22.0329 + 8.98766i −0.841834 + 0.343401i
\(686\) 0.933653 + 6.56048i 0.0356470 + 0.250480i
\(687\) 27.7053 38.1331i 1.05702 1.45487i
\(688\) −26.6542 5.95861i −1.01618 0.227170i
\(689\) −32.2744 + 23.4487i −1.22956 + 0.893324i
\(690\) −1.21435 1.48411i −0.0462294 0.0564991i
\(691\) −6.40318 40.4281i −0.243589 1.53796i −0.741633 0.670806i \(-0.765948\pi\)
0.498044 0.867152i \(-0.334052\pi\)
\(692\) 3.39705 + 26.8931i 0.129136 + 1.02232i
\(693\) 0.435317 + 0.435317i 0.0165363 + 0.0165363i
\(694\) −4.91824 6.99804i −0.186694 0.265642i
\(695\) −15.9118 13.7388i −0.603570 0.521144i
\(696\) −9.63341 + 46.5137i −0.365154 + 1.76310i
\(697\) 1.28304 3.94878i 0.0485984 0.149571i
\(698\) −8.15250 + 10.8580i −0.308577 + 0.410980i
\(699\) −14.8574 + 14.8574i −0.561959 + 0.561959i
\(700\) 2.28327 + 2.48457i 0.0862994 + 0.0939079i
\(701\) −1.49153 1.49153i −0.0563343 0.0563343i 0.678378 0.734713i \(-0.262683\pi\)
−0.734713 + 0.678378i \(0.762683\pi\)
\(702\) −2.44375 17.1714i −0.0922334 0.648094i
\(703\) −4.19509 1.36307i −0.158221 0.0514090i
\(704\) 5.50576 + 6.65582i 0.207506 + 0.250851i
\(705\) −10.8268 4.55305i −0.407760 0.171478i
\(706\) 2.11513 12.1187i 0.0796039 0.456093i
\(707\) −2.93134 + 2.93134i −0.110244 + 0.110244i
\(708\) 15.9562 + 12.3772i 0.599670 + 0.465163i
\(709\) 41.1384 6.51568i 1.54498 0.244701i 0.675013 0.737805i \(-0.264138\pi\)
0.869970 + 0.493104i \(0.164138\pi\)
\(710\) −30.6644 27.3295i −1.15082 1.02566i
\(711\) −8.23581 11.3356i −0.308867 0.425119i
\(712\) −13.4058 + 23.5018i −0.502402 + 0.880766i
\(713\) 1.24442 + 0.904125i 0.0466040 + 0.0338598i
\(714\) 0.842989 1.12274i 0.0315481 0.0420175i
\(715\) −8.86808 5.50026i −0.331647 0.205698i
\(716\) 21.7601 20.4336i 0.813214 0.763640i
\(717\) 41.8406 + 21.3189i 1.56257 + 0.796168i
\(718\) 29.2054 + 15.4637i 1.08994 + 0.577101i
\(719\) −2.38428 7.33805i −0.0889185 0.273663i 0.896703 0.442634i \(-0.145956\pi\)
−0.985621 + 0.168971i \(0.945956\pi\)
\(720\) 12.3176 + 8.75687i 0.459051 + 0.326349i
\(721\) 1.83998 5.66288i 0.0685245 0.210897i
\(722\) −9.15649 + 8.87315i −0.340769 + 0.330224i
\(723\) −9.40902 + 59.4062i −0.349925 + 2.20934i
\(724\) −12.5706 2.39813i −0.467183 0.0891259i
\(725\) −31.1225 23.1279i −1.15586 0.858948i
\(726\) 28.7866 8.85571i 1.06837 0.328666i
\(727\) −28.9701 + 21.0480i −1.07444 + 0.780627i −0.976705 0.214586i \(-0.931160\pi\)
−0.0977355 + 0.995212i \(0.531160\pi\)
\(728\) 2.26474 + 3.44788i 0.0839369 + 0.127787i
\(729\) −0.488420 0.158697i −0.0180896 0.00587767i
\(730\) 31.5325 6.87011i 1.16707 0.254274i
\(731\) −8.26529 4.21138i −0.305703 0.155763i
\(732\) 21.1535 + 31.1272i 0.781855 + 1.15049i
\(733\) 8.40448 + 4.28230i 0.310427 + 0.158170i 0.602262 0.798298i \(-0.294266\pi\)
−0.291836 + 0.956468i \(0.594266\pi\)
\(734\) −3.17335 6.47771i −0.117130 0.239097i
\(735\) −33.2278 2.79516i −1.22563 0.103101i
\(736\) −1.54025 0.369831i −0.0567743 0.0136322i
\(737\) −3.38487 + 4.65888i −0.124683 + 0.171612i
\(738\) 6.55828 3.21282i 0.241413 0.118265i
\(739\) 5.38604 + 0.853065i 0.198129 + 0.0313805i 0.254710 0.967017i \(-0.418020\pi\)
−0.0565812 + 0.998398i \(0.518020\pi\)
\(740\) −3.70213 0.428951i −0.136093 0.0157686i
\(741\) −48.9325 + 7.75014i −1.79758 + 0.284709i
\(742\) 2.53264 + 3.60363i 0.0929762 + 0.132294i
\(743\) −36.7485 −1.34817 −0.674086 0.738653i \(-0.735462\pi\)
−0.674086 + 0.738653i \(0.735462\pi\)
\(744\) −31.4742 11.8938i −1.15390 0.436047i
\(745\) −5.41424 23.0991i −0.198362 0.846285i
\(746\) −0.199686 + 12.7064i −0.00731103 + 0.465213i
\(747\) 21.4547 10.9317i 0.784985 0.399970i
\(748\) 1.24912 + 2.65460i 0.0456723 + 0.0970616i
\(749\) 1.70517 + 1.70517i 0.0623056 + 0.0623056i
\(750\) −29.7502 + 16.9515i −1.08632 + 0.618980i
\(751\) −25.1704 −0.918481 −0.459241 0.888312i \(-0.651878\pi\)
−0.459241 + 0.888312i \(0.651878\pi\)
\(752\) −9.39728 + 2.41257i −0.342684 + 0.0879772i
\(753\) −35.9650 11.6857i −1.31064 0.425852i
\(754\) −32.9877 34.0411i −1.20134 1.23970i
\(755\) 17.8091 + 11.0457i 0.648138 + 0.401995i
\(756\) −1.89989 + 0.239989i −0.0690985 + 0.00872830i
\(757\) −14.3263 14.3263i −0.520697 0.520697i 0.397085 0.917782i \(-0.370022\pi\)
−0.917782 + 0.397085i \(0.870022\pi\)
\(758\) −18.4690 + 12.9800i −0.670823 + 0.471456i
\(759\) 0.384854 0.529707i 0.0139693 0.0192271i
\(760\) −18.9656 + 27.5852i −0.687953 + 1.00062i
\(761\) 20.5190 + 28.2420i 0.743813 + 1.02377i 0.998390 + 0.0567187i \(0.0180638\pi\)
−0.254577 + 0.967053i \(0.581936\pi\)
\(762\) −7.98897 2.73529i −0.289410 0.0990891i
\(763\) −0.194667 1.22908i −0.00704742 0.0444956i
\(764\) −23.2292 8.36337i −0.840405 0.302576i
\(765\) 3.31259 + 3.92110i 0.119767 + 0.141768i
\(766\) −18.5903 37.9480i −0.671694 1.37112i
\(767\) −19.1658 + 6.22735i −0.692037 + 0.224856i
\(768\) 34.6321 1.08664i 1.24968 0.0392109i
\(769\) −0.666968 2.05272i −0.0240515 0.0740228i 0.938310 0.345794i \(-0.112391\pi\)
−0.962362 + 0.271771i \(0.912391\pi\)
\(770\) −0.622590 + 0.969456i −0.0224366 + 0.0349368i
\(771\) 16.2099 8.25934i 0.583784 0.297453i
\(772\) 11.8990 + 40.9585i 0.428254 + 1.47413i
\(773\) 30.0383 +