Properties

Label 300.2.w.a.67.19
Level $300$
Weight $2$
Character 300.67
Analytic conductor $2.396$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 300.w (of order \(20\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.39551206064\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(30\) over \(\Q(\zeta_{20})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label 67.19
Character \(\chi\) \(=\) 300.67
Dual form 300.2.w.a.103.19

$q$-expansion

\(f(q)\) \(=\) \(q+(0.578573 + 1.29045i) q^{2} +(0.987688 + 0.156434i) q^{3} +(-1.33051 + 1.49324i) q^{4} +(0.979302 + 2.01022i) q^{5} +(0.369579 + 1.36507i) q^{6} +(0.0808033 - 0.0808033i) q^{7} +(-2.69674 - 0.853002i) q^{8} +(0.951057 + 0.309017i) q^{9} +O(q^{10})\) \(q+(0.578573 + 1.29045i) q^{2} +(0.987688 + 0.156434i) q^{3} +(-1.33051 + 1.49324i) q^{4} +(0.979302 + 2.01022i) q^{5} +(0.369579 + 1.36507i) q^{6} +(0.0808033 - 0.0808033i) q^{7} +(-2.69674 - 0.853002i) q^{8} +(0.951057 + 0.309017i) q^{9} +(-2.02748 + 2.42679i) q^{10} +(0.521065 - 0.169304i) q^{11} +(-1.54772 + 1.26671i) q^{12} +(-0.379036 - 0.743901i) q^{13} +(0.151023 + 0.0575218i) q^{14} +(0.652778 + 2.13866i) q^{15} +(-0.459504 - 3.97352i) q^{16} +(0.514721 + 3.24982i) q^{17} +(0.151486 + 1.40608i) q^{18} +(-2.87295 - 2.08732i) q^{19} +(-4.30469 - 1.21228i) q^{20} +(0.0924489 - 0.0671680i) q^{21} +(0.519953 + 0.574452i) q^{22} +(3.38282 - 6.63917i) q^{23} +(-2.53010 - 1.26436i) q^{24} +(-3.08194 + 3.93722i) q^{25} +(0.740664 - 0.919527i) q^{26} +(0.891007 + 0.453990i) q^{27} +(0.0131490 + 0.228168i) q^{28} +(4.57530 + 6.29737i) q^{29} +(-2.38215 + 2.07975i) q^{30} +(1.38542 - 1.90687i) q^{31} +(4.86176 - 2.89194i) q^{32} +(0.541135 - 0.0857074i) q^{33} +(-3.89592 + 2.54448i) q^{34} +(0.241563 + 0.0833013i) q^{35} +(-1.72682 + 1.00900i) q^{36} +(0.401778 - 0.204716i) q^{37} +(1.03136 - 4.91506i) q^{38} +(-0.257998 - 0.794036i) q^{39} +(-0.926199 - 6.25637i) q^{40} +(1.29216 - 3.97687i) q^{41} +(0.140165 + 0.0804388i) q^{42} +(-2.31395 - 2.31395i) q^{43} +(-0.440470 + 1.00333i) q^{44} +(0.310180 + 2.21445i) q^{45} +(10.5247 + 0.524113i) q^{46} +(0.528548 - 3.33712i) q^{47} +(0.167748 - 3.99648i) q^{48} +6.98694i q^{49} +(-6.86389 - 1.69911i) q^{50} +3.29033i q^{51} +(1.61513 + 0.423774i) q^{52} +(2.22344 - 14.0382i) q^{53} +(-0.0703383 + 1.41246i) q^{54} +(0.850619 + 0.881654i) q^{55} +(-0.286831 + 0.148980i) q^{56} +(-2.51105 - 2.51105i) q^{57} +(-5.47927 + 9.54767i) q^{58} +(1.80325 - 5.54984i) q^{59} +(-4.06205 - 1.87075i) q^{60} +(-2.07653 - 6.39089i) q^{61} +(3.26228 + 0.684550i) q^{62} +(0.101818 - 0.0518789i) q^{63} +(6.54477 + 4.60065i) q^{64} +(1.12421 - 1.49045i) q^{65} +(0.423687 + 0.648718i) q^{66} +(-12.2481 + 1.93991i) q^{67} +(-5.53758 - 3.55531i) q^{68} +(4.37977 - 6.02824i) q^{69} +(0.0322659 + 0.359920i) q^{70} +(9.28233 + 12.7760i) q^{71} +(-2.30116 - 1.64459i) q^{72} +(1.31572 + 0.670391i) q^{73} +(0.496633 + 0.400030i) q^{74} +(-3.65991 + 3.40662i) q^{75} +(6.93934 - 1.51280i) q^{76} +(0.0284234 - 0.0557842i) q^{77} +(0.875391 - 0.792341i) q^{78} +(4.21793 - 3.06451i) q^{79} +(7.53764 - 4.81498i) q^{80} +(0.809017 + 0.587785i) q^{81} +(5.87955 - 0.633441i) q^{82} +(0.973158 + 6.14428i) q^{83} +(-0.0227061 + 0.227415i) q^{84} +(-6.02877 + 4.21725i) q^{85} +(1.64724 - 4.32483i) q^{86} +(3.53385 + 6.93557i) q^{87} +(-1.54959 + 0.0120993i) q^{88} +(9.70119 - 3.15211i) q^{89} +(-2.67817 + 1.68149i) q^{90} +(-0.0907370 - 0.0294822i) q^{91} +(5.41297 + 13.8848i) q^{92} +(1.66666 - 1.66666i) q^{93} +(4.61218 - 1.24870i) q^{94} +(1.38248 - 7.81937i) q^{95} +(5.25430 - 2.09579i) q^{96} +(-1.70626 - 0.270245i) q^{97} +(-9.01628 + 4.04246i) q^{98} +0.547881 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240q + 12q^{8} + O(q^{10}) \) \( 240q + 12q^{8} + 8q^{10} + 8q^{12} + 4q^{13} + 20q^{17} - 20q^{20} - 12q^{22} + 20q^{25} + 4q^{28} - 8q^{30} - 20q^{32} - 8q^{33} - 4q^{37} - 76q^{38} - 92q^{40} - 20q^{42} - 140q^{44} - 4q^{45} - 16q^{48} - 164q^{50} - 172q^{52} - 4q^{53} - 120q^{58} + 20q^{60} - 44q^{62} - 60q^{64} - 20q^{65} + 16q^{68} - 44q^{70} + 12q^{72} - 44q^{73} - 48q^{77} + 24q^{78} - 4q^{80} + 60q^{81} + 24q^{82} + 80q^{84} - 64q^{85} + 60q^{88} - 260q^{89} + 48q^{90} + 144q^{92} - 64q^{93} + 40q^{94} - 20q^{96} - 180q^{97} + 256q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(151\) \(277\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{13}{20}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.578573 + 1.29045i 0.409113 + 0.912484i
\(3\) 0.987688 + 0.156434i 0.570242 + 0.0903175i
\(4\) −1.33051 + 1.49324i −0.665253 + 0.746618i
\(5\) 0.979302 + 2.01022i 0.437957 + 0.898996i
\(6\) 0.369579 + 1.36507i 0.150880 + 0.557287i
\(7\) 0.0808033 0.0808033i 0.0305408 0.0305408i −0.691671 0.722212i \(-0.743125\pi\)
0.722212 + 0.691671i \(0.243125\pi\)
\(8\) −2.69674 0.853002i −0.953440 0.301582i
\(9\) 0.951057 + 0.309017i 0.317019 + 0.103006i
\(10\) −2.02748 + 2.42679i −0.641145 + 0.767419i
\(11\) 0.521065 0.169304i 0.157107 0.0510472i −0.229408 0.973330i \(-0.573679\pi\)
0.386515 + 0.922283i \(0.373679\pi\)
\(12\) −1.54772 + 1.26671i −0.446788 + 0.365669i
\(13\) −0.379036 0.743901i −0.105126 0.206321i 0.832452 0.554098i \(-0.186937\pi\)
−0.937577 + 0.347777i \(0.886937\pi\)
\(14\) 0.151023 + 0.0575218i 0.0403626 + 0.0153733i
\(15\) 0.652778 + 2.13866i 0.168547 + 0.552201i
\(16\) −0.459504 3.97352i −0.114876 0.993380i
\(17\) 0.514721 + 3.24982i 0.124838 + 0.788197i 0.968076 + 0.250656i \(0.0806465\pi\)
−0.843238 + 0.537540i \(0.819354\pi\)
\(18\) 0.151486 + 1.40608i 0.0357055 + 0.331415i
\(19\) −2.87295 2.08732i −0.659100 0.478864i 0.207259 0.978286i \(-0.433546\pi\)
−0.866359 + 0.499422i \(0.833546\pi\)
\(20\) −4.30469 1.21228i −0.962559 0.271074i
\(21\) 0.0924489 0.0671680i 0.0201740 0.0146573i
\(22\) 0.519953 + 0.574452i 0.110854 + 0.122474i
\(23\) 3.38282 6.63917i 0.705367 1.38436i −0.208367 0.978051i \(-0.566815\pi\)
0.913735 0.406311i \(-0.133185\pi\)
\(24\) −2.53010 1.26436i −0.516454 0.258087i
\(25\) −3.08194 + 3.93722i −0.616387 + 0.787443i
\(26\) 0.740664 0.919527i 0.145256 0.180334i
\(27\) 0.891007 + 0.453990i 0.171474 + 0.0873705i
\(28\) 0.0131490 + 0.228168i 0.00248493 + 0.0431196i
\(29\) 4.57530 + 6.29737i 0.849613 + 1.16939i 0.983948 + 0.178455i \(0.0571100\pi\)
−0.134335 + 0.990936i \(0.542890\pi\)
\(30\) −2.38215 + 2.07975i −0.434919 + 0.379708i
\(31\) 1.38542 1.90687i 0.248829 0.342484i −0.666272 0.745709i \(-0.732111\pi\)
0.915101 + 0.403225i \(0.132111\pi\)
\(32\) 4.86176 2.89194i 0.859446 0.511227i
\(33\) 0.541135 0.0857074i 0.0941996 0.0149197i
\(34\) −3.89592 + 2.54448i −0.668144 + 0.436374i
\(35\) 0.241563 + 0.0833013i 0.0408316 + 0.0140805i
\(36\) −1.72682 + 1.00900i −0.287804 + 0.168167i
\(37\) 0.401778 0.204716i 0.0660518 0.0336551i −0.420653 0.907222i \(-0.638199\pi\)
0.486704 + 0.873567i \(0.338199\pi\)
\(38\) 1.03136 4.91506i 0.167309 0.797327i
\(39\) −0.257998 0.794036i −0.0413128 0.127148i
\(40\) −0.926199 6.25637i −0.146445 0.989219i
\(41\) 1.29216 3.97687i 0.201802 0.621083i −0.798028 0.602621i \(-0.794123\pi\)
0.999830 0.0184617i \(-0.00587687\pi\)
\(42\) 0.140165 + 0.0804388i 0.0216280 + 0.0124120i
\(43\) −2.31395 2.31395i −0.352875 0.352875i 0.508303 0.861178i \(-0.330273\pi\)
−0.861178 + 0.508303i \(0.830273\pi\)
\(44\) −0.440470 + 1.00333i −0.0664033 + 0.151258i
\(45\) 0.310180 + 2.21445i 0.0462390 + 0.330111i
\(46\) 10.5247 + 0.524113i 1.55178 + 0.0772762i
\(47\) 0.528548 3.33712i 0.0770966 0.486769i −0.918683 0.394995i \(-0.870746\pi\)
0.995780 0.0917738i \(-0.0292537\pi\)
\(48\) 0.167748 3.99648i 0.0242124 0.576842i
\(49\) 6.98694i 0.998135i
\(50\) −6.86389 1.69911i −0.970701 0.240290i
\(51\) 3.29033i 0.460738i
\(52\) 1.61513 + 0.423774i 0.223978 + 0.0587669i
\(53\) 2.22344 14.0382i 0.305413 1.92830i −0.0616376 0.998099i \(-0.519632\pi\)
0.367050 0.930201i \(-0.380368\pi\)
\(54\) −0.0703383 + 1.41246i −0.00957184 + 0.192212i
\(55\) 0.850619 + 0.881654i 0.114697 + 0.118882i
\(56\) −0.286831 + 0.148980i −0.0383293 + 0.0199083i
\(57\) −2.51105 2.51105i −0.332597 0.332597i
\(58\) −5.47927 + 9.54767i −0.719463 + 1.25367i
\(59\) 1.80325 5.54984i 0.234763 0.722528i −0.762389 0.647119i \(-0.775974\pi\)
0.997153 0.0754088i \(-0.0240262\pi\)
\(60\) −4.06205 1.87075i −0.524409 0.241513i
\(61\) −2.07653 6.39089i −0.265872 0.818269i −0.991491 0.130173i \(-0.958447\pi\)
0.725619 0.688096i \(-0.241553\pi\)
\(62\) 3.26228 + 0.684550i 0.414310 + 0.0869379i
\(63\) 0.101818 0.0518789i 0.0128279 0.00653613i
\(64\) 6.54477 + 4.60065i 0.818097 + 0.575081i
\(65\) 1.12421 1.49045i 0.139441 0.184867i
\(66\) 0.423687 + 0.648718i 0.0521523 + 0.0798517i
\(67\) −12.2481 + 1.93991i −1.49634 + 0.236998i −0.850298 0.526301i \(-0.823579\pi\)
−0.646046 + 0.763298i \(0.723579\pi\)
\(68\) −5.53758 3.55531i −0.671531 0.431144i
\(69\) 4.37977 6.02824i 0.527262 0.725714i
\(70\) 0.0322659 + 0.359920i 0.00385651 + 0.0430187i
\(71\) 9.28233 + 12.7760i 1.10161 + 1.51624i 0.833233 + 0.552923i \(0.186488\pi\)
0.268378 + 0.963314i \(0.413512\pi\)
\(72\) −2.30116 1.64459i −0.271194 0.193817i
\(73\) 1.31572 + 0.670391i 0.153993 + 0.0784633i 0.529289 0.848442i \(-0.322459\pi\)
−0.375296 + 0.926905i \(0.622459\pi\)
\(74\) 0.496633 + 0.400030i 0.0577324 + 0.0465025i
\(75\) −3.65991 + 3.40662i −0.422610 + 0.393363i
\(76\) 6.93934 1.51280i 0.795997 0.173530i
\(77\) 0.0284234 0.0557842i 0.00323915 0.00635719i
\(78\) 0.875391 0.792341i 0.0991185 0.0897149i
\(79\) 4.21793 3.06451i 0.474554 0.344784i −0.324659 0.945831i \(-0.605250\pi\)
0.799214 + 0.601047i \(0.205250\pi\)
\(80\) 7.53764 4.81498i 0.842734 0.538331i
\(81\) 0.809017 + 0.587785i 0.0898908 + 0.0653095i
\(82\) 5.87955 0.633441i 0.649288 0.0699519i
\(83\) 0.973158 + 6.14428i 0.106818 + 0.674422i 0.981750 + 0.190176i \(0.0609059\pi\)
−0.874932 + 0.484246i \(0.839094\pi\)
\(84\) −0.0227061 + 0.227415i −0.00247744 + 0.0248131i
\(85\) −6.02877 + 4.21725i −0.653912 + 0.457425i
\(86\) 1.64724 4.32483i 0.177627 0.466358i
\(87\) 3.53385 + 6.93557i 0.378868 + 0.743571i
\(88\) −1.54959 + 0.0120993i −0.165187 + 0.00128979i
\(89\) 9.70119 3.15211i 1.02832 0.334123i 0.254197 0.967153i \(-0.418189\pi\)
0.774127 + 0.633030i \(0.218189\pi\)
\(90\) −2.67817 + 1.68149i −0.282304 + 0.177245i
\(91\) −0.0907370 0.0294822i −0.00951182 0.00309058i
\(92\) 5.41297 + 13.8848i 0.564341 + 1.44759i
\(93\) 1.66666 1.66666i 0.172825 0.172825i
\(94\) 4.61218 1.24870i 0.475710 0.128794i
\(95\) 1.38248 7.81937i 0.141839 0.802250i
\(96\) 5.25430 2.09579i 0.536265 0.213900i
\(97\) −1.70626 0.270245i −0.173244 0.0274392i 0.0692096 0.997602i \(-0.477952\pi\)
−0.242454 + 0.970163i \(0.577952\pi\)
\(98\) −9.01628 + 4.04246i −0.910782 + 0.408350i
\(99\) 0.547881 0.0550641
\(100\) −1.77865 9.84055i −0.177865 0.984055i
\(101\) −11.4729 −1.14160 −0.570798 0.821091i \(-0.693366\pi\)
−0.570798 + 0.821091i \(0.693366\pi\)
\(102\) −4.24599 + 1.90370i −0.420416 + 0.188494i
\(103\) −11.2138 1.77608i −1.10492 0.175003i −0.422789 0.906228i \(-0.638949\pi\)
−0.682136 + 0.731225i \(0.738949\pi\)
\(104\) 0.387612 + 2.32942i 0.0380085 + 0.228419i
\(105\) 0.225558 + 0.120064i 0.0220122 + 0.0117171i
\(106\) 19.4020 5.25291i 1.88449 0.510208i
\(107\) −2.58147 + 2.58147i −0.249560 + 0.249560i −0.820790 0.571230i \(-0.806466\pi\)
0.571230 + 0.820790i \(0.306466\pi\)
\(108\) −1.86340 + 0.726445i −0.179306 + 0.0699022i
\(109\) 4.86280 + 1.58002i 0.465772 + 0.151338i 0.532495 0.846433i \(-0.321255\pi\)
−0.0667234 + 0.997772i \(0.521255\pi\)
\(110\) −0.645583 + 1.60778i −0.0615539 + 0.153296i
\(111\) 0.428856 0.139344i 0.0407052 0.0132259i
\(112\) −0.358203 0.283944i −0.0338470 0.0268302i
\(113\) −7.03160 13.8003i −0.661477 1.29822i −0.941105 0.338114i \(-0.890211\pi\)
0.279628 0.960108i \(-0.409789\pi\)
\(114\) 1.78755 4.69320i 0.167420 0.439559i
\(115\) 16.6590 + 0.298460i 1.55346 + 0.0278316i
\(116\) −15.4909 1.54668i −1.43830 0.143606i
\(117\) −0.130607 0.824620i −0.0120746 0.0762362i
\(118\) 8.20509 0.883986i 0.755339 0.0813775i
\(119\) 0.304187 + 0.221005i 0.0278848 + 0.0202595i
\(120\) 0.0639155 6.32423i 0.00583466 0.577321i
\(121\) −8.65634 + 6.28920i −0.786940 + 0.571745i
\(122\) 7.04568 6.37724i 0.637886 0.577368i
\(123\) 1.89837 3.72577i 0.171171 0.335941i
\(124\) 1.00409 + 4.60586i 0.0901701 + 0.413619i
\(125\) −10.9328 2.33964i −0.977859 0.209263i
\(126\) 0.125856 + 0.101375i 0.0112122 + 0.00903121i
\(127\) −9.45960 4.81991i −0.839404 0.427698i −0.0192321 0.999815i \(-0.506122\pi\)
−0.820172 + 0.572117i \(0.806122\pi\)
\(128\) −2.15026 + 11.1075i −0.190058 + 0.981773i
\(129\) −1.92348 2.64745i −0.169353 0.233095i
\(130\) 2.57378 + 0.588401i 0.225736 + 0.0516061i
\(131\) −13.0987 + 18.0288i −1.14444 + 1.57518i −0.387257 + 0.921972i \(0.626578\pi\)
−0.757178 + 0.653209i \(0.773422\pi\)
\(132\) −0.592003 + 0.922077i −0.0515272 + 0.0802565i
\(133\) −0.400806 + 0.0634815i −0.0347543 + 0.00550454i
\(134\) −9.58977 14.6832i −0.828430 1.26843i
\(135\) −0.0400547 + 2.23571i −0.00344736 + 0.192419i
\(136\) 1.38404 9.20296i 0.118680 0.789148i
\(137\) −6.60920 + 3.36756i −0.564662 + 0.287710i −0.712927 0.701238i \(-0.752631\pi\)
0.148265 + 0.988948i \(0.452631\pi\)
\(138\) 10.3131 + 2.16409i 0.877912 + 0.184219i
\(139\) 2.89675 + 8.91529i 0.245699 + 0.756185i 0.995521 + 0.0945444i \(0.0301394\pi\)
−0.749821 + 0.661640i \(0.769861\pi\)
\(140\) −0.445789 + 0.249877i −0.0376761 + 0.0211185i
\(141\) 1.04408 3.21335i 0.0879275 0.270613i
\(142\) −11.1163 + 19.3702i −0.932858 + 1.62551i
\(143\) −0.323448 0.323448i −0.0270481 0.0270481i
\(144\) 0.790870 3.92104i 0.0659059 0.326753i
\(145\) −8.17846 + 15.3644i −0.679184 + 1.27594i
\(146\) −0.103866 + 2.08573i −0.00859601 + 0.172616i
\(147\) −1.09300 + 6.90092i −0.0901490 + 0.569178i
\(148\) −0.228879 + 0.872324i −0.0188137 + 0.0717046i
\(149\) 20.8441i 1.70762i 0.520587 + 0.853809i \(0.325713\pi\)
−0.520587 + 0.853809i \(0.674287\pi\)
\(150\) −6.51359 2.75194i −0.531832 0.224695i
\(151\) 19.3780i 1.57696i −0.615062 0.788479i \(-0.710869\pi\)
0.615062 0.788479i \(-0.289131\pi\)
\(152\) 5.96710 + 8.07959i 0.483996 + 0.655341i
\(153\) −0.514721 + 3.24982i −0.0416127 + 0.262732i
\(154\) 0.0884315 + 0.00440374i 0.00712602 + 0.000354864i
\(155\) 5.18997 + 0.917596i 0.416868 + 0.0737031i
\(156\) 1.52895 + 0.671219i 0.122414 + 0.0537405i
\(157\) −11.0581 11.0581i −0.882529 0.882529i 0.111262 0.993791i \(-0.464511\pi\)
−0.993791 + 0.111262i \(0.964511\pi\)
\(158\) 6.39496 + 3.66998i 0.508756 + 0.291968i
\(159\) 4.39213 13.5176i 0.348318 1.07201i
\(160\) 10.5745 + 6.94111i 0.835991 + 0.548743i
\(161\) −0.263123 0.809810i −0.0207370 0.0638219i
\(162\) −0.290430 + 1.38407i −0.0228184 + 0.108743i
\(163\) −18.5208 + 9.43684i −1.45066 + 0.739150i −0.989002 0.147905i \(-0.952747\pi\)
−0.461663 + 0.887056i \(0.652747\pi\)
\(164\) 4.21917 + 7.22075i 0.329462 + 0.563846i
\(165\) 0.702225 + 1.00387i 0.0546682 + 0.0781508i
\(166\) −7.36582 + 4.81072i −0.571698 + 0.373384i
\(167\) −16.9741 + 2.68843i −1.31349 + 0.208037i −0.773587 0.633690i \(-0.781540\pi\)
−0.539905 + 0.841726i \(0.681540\pi\)
\(168\) −0.306605 + 0.102275i −0.0236551 + 0.00789072i
\(169\) 7.23149 9.95329i 0.556268 0.765638i
\(170\) −8.93023 5.33982i −0.684917 0.409546i
\(171\) −2.08732 2.87295i −0.159621 0.219700i
\(172\) 6.53401 0.376547i 0.498213 0.0287114i
\(173\) 11.8394 + 6.03246i 0.900130 + 0.458639i 0.841881 0.539663i \(-0.181448\pi\)
0.0582491 + 0.998302i \(0.481448\pi\)
\(174\) −6.90539 + 8.57298i −0.523497 + 0.649916i
\(175\) 0.0691094 + 0.567171i 0.00522418 + 0.0428741i
\(176\) −0.912166 1.99267i −0.0687571 0.150203i
\(177\) 2.64924 5.19942i 0.199129 0.390812i
\(178\) 9.68047 + 10.6951i 0.725582 + 0.801635i
\(179\) −11.9838 + 8.70672i −0.895709 + 0.650771i −0.937360 0.348362i \(-0.886738\pi\)
0.0416514 + 0.999132i \(0.486738\pi\)
\(180\) −3.71939 2.48317i −0.277227 0.185084i
\(181\) 2.28163 + 1.65770i 0.169592 + 0.123216i 0.669344 0.742953i \(-0.266575\pi\)
−0.499752 + 0.866169i \(0.666575\pi\)
\(182\) −0.0144527 0.134149i −0.00107131 0.00994378i
\(183\) −1.05120 6.63705i −0.0777073 0.490625i
\(184\) −14.7858 + 15.0185i −1.09002 + 1.10718i
\(185\) 0.804985 + 0.607181i 0.0591836 + 0.0446408i
\(186\) 3.11503 + 1.18646i 0.228405 + 0.0869951i
\(187\) 0.818412 + 1.60622i 0.0598482 + 0.117459i
\(188\) 4.27987 + 5.22930i 0.312141 + 0.381386i
\(189\) 0.108680 0.0353123i 0.00790532 0.00256859i
\(190\) 10.8903 2.74006i 0.790068 0.198785i
\(191\) −0.659670 0.214340i −0.0477320 0.0155091i 0.285054 0.958512i \(-0.407989\pi\)
−0.332786 + 0.943002i \(0.607989\pi\)
\(192\) 5.74450 + 5.56783i 0.414573 + 0.401824i
\(193\) 0.643179 0.643179i 0.0462971 0.0462971i −0.683579 0.729876i \(-0.739578\pi\)
0.729876 + 0.683579i \(0.239578\pi\)
\(194\) −0.638458 2.35819i −0.0458386 0.169308i
\(195\) 1.34353 1.29623i 0.0962119 0.0928252i
\(196\) −10.4331 9.29617i −0.745225 0.664012i
\(197\) 4.69155 + 0.743068i 0.334259 + 0.0529414i 0.321308 0.946975i \(-0.395877\pi\)
0.0129509 + 0.999916i \(0.495877\pi\)
\(198\) 0.316989 + 0.707011i 0.0225274 + 0.0502451i
\(199\) 17.8531 1.26557 0.632786 0.774327i \(-0.281911\pi\)
0.632786 + 0.774327i \(0.281911\pi\)
\(200\) 11.6696 7.98873i 0.825167 0.564889i
\(201\) −12.4008 −0.874684
\(202\) −6.63790 14.8052i −0.467041 1.04169i
\(203\) 0.878547 + 0.139148i 0.0616619 + 0.00976629i
\(204\) −4.91324 4.37780i −0.343995 0.306508i
\(205\) 9.25978 1.29703i 0.646731 0.0905883i
\(206\) −4.19603 15.4984i −0.292352 1.07982i
\(207\) 5.26887 5.26887i 0.366212 0.366212i
\(208\) −2.78174 + 1.84793i −0.192879 + 0.128131i
\(209\) −1.85039 0.601227i −0.127994 0.0415878i
\(210\) −0.0244352 + 0.360536i −0.00168619 + 0.0248794i
\(211\) −3.94777 + 1.28271i −0.271776 + 0.0883053i −0.441734 0.897146i \(-0.645637\pi\)
0.169958 + 0.985451i \(0.445637\pi\)
\(212\) 18.0041 + 21.9981i 1.23653 + 1.51083i
\(213\) 7.16944 + 14.0708i 0.491242 + 0.964117i
\(214\) −4.82482 1.83768i −0.329818 0.125621i
\(215\) 2.38549 6.91761i 0.162689 0.471777i
\(216\) −2.01555 1.98432i −0.137141 0.135016i
\(217\) −0.0421347 0.266028i −0.00286029 0.0180592i
\(218\) 0.774553 + 7.18934i 0.0524594 + 0.486924i
\(219\) 1.19465 + 0.867961i 0.0807266 + 0.0586513i
\(220\) −2.44827 + 0.0971277i −0.165062 + 0.00654834i
\(221\) 2.22244 1.61470i 0.149498 0.108617i
\(222\) 0.427940 + 0.472795i 0.0287214 + 0.0317319i
\(223\) 5.03433 9.88043i 0.337124 0.661643i −0.658753 0.752359i \(-0.728916\pi\)
0.995877 + 0.0907167i \(0.0289158\pi\)
\(224\) 0.159168 0.626524i 0.0106349 0.0418614i
\(225\) −4.14776 + 2.79214i −0.276517 + 0.186143i
\(226\) 13.7402 17.0584i 0.913988 1.13471i
\(227\) 7.98815 + 4.07017i 0.530192 + 0.270147i 0.698527 0.715583i \(-0.253839\pi\)
−0.168335 + 0.985730i \(0.553839\pi\)
\(228\) 7.09056 0.408620i 0.469584 0.0270615i
\(229\) −11.2030 15.4196i −0.740315 1.01896i −0.998600 0.0528873i \(-0.983158\pi\)
0.258286 0.966069i \(-0.416842\pi\)
\(230\) 9.25328 + 21.6702i 0.610143 + 1.42889i
\(231\) 0.0368001 0.0506510i 0.00242127 0.00333259i
\(232\) −6.96672 20.8851i −0.457388 1.37117i
\(233\) 20.2185 3.20229i 1.32456 0.209789i 0.546222 0.837640i \(-0.316065\pi\)
0.778333 + 0.627851i \(0.216065\pi\)
\(234\) 0.988563 0.645644i 0.0646244 0.0422071i
\(235\) 7.22594 2.20555i 0.471368 0.143874i
\(236\) 5.88798 + 10.0768i 0.383275 + 0.655942i
\(237\) 4.64540 2.36695i 0.301751 0.153750i
\(238\) −0.109201 + 0.520405i −0.00707843 + 0.0337328i
\(239\) 1.41153 + 4.34425i 0.0913044 + 0.281006i 0.986273 0.165123i \(-0.0528022\pi\)
−0.894969 + 0.446129i \(0.852802\pi\)
\(240\) 8.19807 3.57655i 0.529183 0.230865i
\(241\) −5.60469 + 17.2495i −0.361030 + 1.11113i 0.591401 + 0.806378i \(0.298575\pi\)
−0.952430 + 0.304757i \(0.901425\pi\)
\(242\) −13.1242 7.53179i −0.843656 0.484162i
\(243\) 0.707107 + 0.707107i 0.0453609 + 0.0453609i
\(244\) 12.3059 + 5.40238i 0.787806 + 0.345852i
\(245\) −14.0453 + 6.84232i −0.897319 + 0.437140i
\(246\) 5.90625 + 0.294122i 0.376569 + 0.0187525i
\(247\) −0.463807 + 2.92836i −0.0295113 + 0.186327i
\(248\) −5.36268 + 3.96056i −0.340531 + 0.251496i
\(249\) 6.22086i 0.394231i
\(250\) −3.30625 15.4618i −0.209105 0.977893i
\(251\) 16.9015i 1.06681i 0.845859 + 0.533406i \(0.179088\pi\)
−0.845859 + 0.533406i \(0.820912\pi\)
\(252\) −0.0580022 + 0.221064i −0.00365380 + 0.0139257i
\(253\) 0.638632 4.03217i 0.0401505 0.253500i
\(254\) 0.746765 14.9958i 0.0468562 0.940919i
\(255\) −6.61427 + 3.22222i −0.414202 + 0.201784i
\(256\) −15.5777 + 3.65170i −0.973607 + 0.228231i
\(257\) −13.4787 13.4787i −0.840776 0.840776i 0.148184 0.988960i \(-0.452657\pi\)
−0.988960 + 0.148184i \(0.952657\pi\)
\(258\) 2.30351 4.01389i 0.143411 0.249894i
\(259\) 0.0159232 0.0490067i 0.000989421 0.00304513i
\(260\) 0.729821 + 3.66176i 0.0452616 + 0.227093i
\(261\) 2.40538 + 7.40300i 0.148889 + 0.458234i
\(262\) −30.8437 6.47217i −1.90553 0.399852i
\(263\) 12.5493 6.39419i 0.773823 0.394283i −0.0220417 0.999757i \(-0.507017\pi\)
0.795865 + 0.605475i \(0.207017\pi\)
\(264\) −1.53241 0.230459i −0.0943132 0.0141838i
\(265\) 30.3973 9.27808i 1.86729 0.569948i
\(266\) −0.313815 0.480490i −0.0192412 0.0294608i
\(267\) 10.0749 1.59570i 0.616571 0.0976552i
\(268\) 13.3994 20.8704i 0.818501 1.27486i
\(269\) 5.30034 7.29529i 0.323167 0.444802i −0.616264 0.787540i \(-0.711354\pi\)
0.939431 + 0.342738i \(0.111354\pi\)
\(270\) −2.90824 + 1.24183i −0.176990 + 0.0755755i
\(271\) −6.50668 8.95567i −0.395253 0.544018i 0.564292 0.825575i \(-0.309149\pi\)
−0.959545 + 0.281557i \(0.909149\pi\)
\(272\) 12.6767 3.53856i 0.768638 0.214557i
\(273\) −0.0850078 0.0433137i −0.00514491 0.00262146i
\(274\) −8.16956 6.58045i −0.493541 0.397540i
\(275\) −0.939302 + 2.57333i −0.0566421 + 0.155178i
\(276\) 3.17426 + 14.5606i 0.191068 + 0.876447i
\(277\) 12.5869 24.7032i 0.756274 1.48427i −0.114943 0.993372i \(-0.536668\pi\)
0.871217 0.490899i \(-0.163332\pi\)
\(278\) −9.82872 + 8.89625i −0.589488 + 0.533562i
\(279\) 1.90687 1.38542i 0.114161 0.0829430i
\(280\) −0.580375 0.430695i −0.0346841 0.0257390i
\(281\) 7.95866 + 5.78231i 0.474774 + 0.344943i 0.799299 0.600934i \(-0.205204\pi\)
−0.324525 + 0.945877i \(0.605204\pi\)
\(282\) 4.75073 0.511827i 0.282902 0.0304788i
\(283\) 2.38077 + 15.0316i 0.141522 + 0.893535i 0.951628 + 0.307252i \(0.0994093\pi\)
−0.810106 + 0.586283i \(0.800591\pi\)
\(284\) −31.4278 3.13789i −1.86490 0.186200i
\(285\) 2.58868 7.50683i 0.153340 0.444666i
\(286\) 0.230254 0.604532i 0.0136152 0.0357467i
\(287\) −0.216933 0.425755i −0.0128052 0.0251315i
\(288\) 5.51747 1.24803i 0.325120 0.0735408i
\(289\) 5.87157 1.90779i 0.345387 0.112223i
\(290\) −24.5587 1.66446i −1.44214 0.0977406i
\(291\) −1.64297 0.533835i −0.0963129 0.0312940i
\(292\) −2.75162 + 1.07271i −0.161026 + 0.0627759i
\(293\) −18.5529 + 18.5529i −1.08387 + 1.08387i −0.0877260 + 0.996145i \(0.527960\pi\)
−0.996145 + 0.0877260i \(0.972040\pi\)
\(294\) −9.53765 + 2.58223i −0.556247 + 0.150599i
\(295\) 12.9223 1.81004i 0.752366 0.105385i
\(296\) −1.25811 + 0.209348i −0.0731262 + 0.0121681i
\(297\) 0.541135 + 0.0857074i 0.0313999 + 0.00497325i
\(298\) −26.8982 + 12.0598i −1.55817 + 0.698608i
\(299\) −6.22109 −0.359775
\(300\) −0.217355 9.99764i −0.0125490 0.577214i
\(301\) −0.373950 −0.0215541
\(302\) 25.0063 11.2116i 1.43895 0.645154i
\(303\) −11.3316 1.79476i −0.650986 0.103106i
\(304\) −6.97387 + 12.3749i −0.399979 + 0.709747i
\(305\) 10.8135 10.4329i 0.619180 0.597384i
\(306\) −4.49152 + 1.21604i −0.256763 + 0.0695162i
\(307\) 7.59845 7.59845i 0.433667 0.433667i −0.456207 0.889874i \(-0.650792\pi\)
0.889874 + 0.456207i \(0.150792\pi\)
\(308\) 0.0454813 + 0.116664i 0.00259154 + 0.00664755i
\(309\) −10.7979 3.50844i −0.614269 0.199588i
\(310\) 1.81866 + 7.22827i 0.103293 + 0.410538i
\(311\) 18.8976 6.14019i 1.07158 0.348178i 0.280479 0.959860i \(-0.409507\pi\)
0.791104 + 0.611682i \(0.209507\pi\)
\(312\) 0.0184377 + 2.36138i 0.00104383 + 0.133687i
\(313\) −1.19984 2.35482i −0.0678190 0.133102i 0.854608 0.519273i \(-0.173797\pi\)
−0.922427 + 0.386171i \(0.873797\pi\)
\(314\) 7.87194 20.6677i 0.444239 1.16635i
\(315\) 0.203998 + 0.153871i 0.0114940 + 0.00866966i
\(316\) −1.03596 + 10.3757i −0.0582771 + 0.583679i
\(317\) 2.11922 + 13.3802i 0.119027 + 0.751508i 0.972934 + 0.231082i \(0.0742267\pi\)
−0.853907 + 0.520426i \(0.825773\pi\)
\(318\) 19.9849 2.15310i 1.12070 0.120740i
\(319\) 3.45020 + 2.50672i 0.193174 + 0.140349i
\(320\) −2.83898 + 17.6618i −0.158704 + 0.987326i
\(321\) −2.95352 + 2.14586i −0.164849 + 0.119770i
\(322\) 0.892780 0.808080i 0.0497527 0.0450326i
\(323\) 5.30465 10.4110i 0.295158 0.579281i
\(324\) −1.95410 + 0.426001i −0.108561 + 0.0236667i
\(325\) 4.09706 + 0.800307i 0.227264 + 0.0443930i
\(326\) −22.8934 18.4403i −1.26795 1.02131i
\(327\) 4.55576 + 2.32128i 0.251934 + 0.128367i
\(328\) −6.87690 + 9.62235i −0.379713 + 0.531305i
\(329\) −0.226942 0.312359i −0.0125117 0.0172209i
\(330\) −0.889147 + 1.48699i −0.0489459 + 0.0818563i
\(331\) −1.74817 + 2.40616i −0.0960883 + 0.132254i −0.854354 0.519691i \(-0.826047\pi\)
0.758266 + 0.651946i \(0.226047\pi\)
\(332\) −10.4696 6.72185i −0.574596 0.368909i
\(333\) 0.445374 0.0705403i 0.0244063 0.00386558i
\(334\) −13.2900 20.3487i −0.727197 1.11343i
\(335\) −15.8942 22.7216i −0.868395 1.24141i
\(336\) −0.309374 0.336483i −0.0168777 0.0183567i
\(337\) 7.68126 3.91380i 0.418425 0.213198i −0.232086 0.972695i \(-0.574555\pi\)
0.650511 + 0.759497i \(0.274555\pi\)
\(338\) 17.0281 + 3.57315i 0.926209 + 0.194354i
\(339\) −4.78619 14.7304i −0.259950 0.800044i
\(340\) 1.72397 14.6135i 0.0934953 0.792526i
\(341\) 0.399054 1.22816i 0.0216100 0.0665087i
\(342\) 2.49972 4.35579i 0.135169 0.235534i
\(343\) 1.13019 + 1.13019i 0.0610246 + 0.0610246i
\(344\) 4.26631 + 8.21393i 0.230024 + 0.442866i
\(345\) 16.4072 + 2.90082i 0.883332 + 0.156175i
\(346\) −0.934630 + 18.7683i −0.0502460 + 1.00899i
\(347\) 4.55737 28.7741i 0.244653 1.54468i −0.493321 0.869847i \(-0.664217\pi\)
0.737974 0.674829i \(-0.235783\pi\)
\(348\) −15.0582 3.95095i −0.807207 0.211793i
\(349\) 24.7013i 1.32223i 0.750284 + 0.661115i \(0.229917\pi\)
−0.750284 + 0.661115i \(0.770083\pi\)
\(350\) −0.691919 + 0.417332i −0.0369846 + 0.0223073i
\(351\) 0.834899i 0.0445636i
\(352\) 2.04368 2.33001i 0.108928 0.124190i
\(353\) 0.908260 5.73453i 0.0483418 0.305218i −0.951656 0.307165i \(-0.900620\pi\)
0.999998 + 0.00194675i \(0.000619670\pi\)
\(354\) 8.24235 + 0.410456i 0.438076 + 0.0218155i
\(355\) −16.5924 + 31.1711i −0.880632 + 1.65439i
\(356\) −8.20066 + 18.6801i −0.434634 + 0.990041i
\(357\) 0.265869 + 0.265869i 0.0140713 + 0.0140713i
\(358\) −18.1690 10.4269i −0.960264 0.551081i
\(359\) 4.60845 14.1833i 0.243225 0.748568i −0.752699 0.658365i \(-0.771248\pi\)
0.995923 0.0902033i \(-0.0287517\pi\)
\(360\) 1.05246 6.23637i 0.0554693 0.328686i
\(361\) −1.97439 6.07654i −0.103915 0.319818i
\(362\) −0.819085 + 3.90342i −0.0430502 + 0.205159i
\(363\) −9.53362 + 4.85762i −0.500385 + 0.254959i
\(364\) 0.164750 0.0962654i 0.00863525 0.00504568i
\(365\) −0.0591473 + 3.30139i −0.00309591 + 0.172803i
\(366\) 7.95656 5.19654i 0.415896 0.271627i
\(367\) 19.7109 3.12190i 1.02890 0.162962i 0.380912 0.924611i \(-0.375610\pi\)
0.647989 + 0.761649i \(0.275610\pi\)
\(368\) −27.9353 10.3910i −1.45623 0.541668i
\(369\) 2.45784 3.38293i 0.127950 0.176108i
\(370\) −0.317793 + 1.39009i −0.0165212 + 0.0722673i
\(371\) −0.954674 1.31400i −0.0495642 0.0682193i
\(372\) 0.271214 + 4.70623i 0.0140618 + 0.244007i
\(373\) 30.1435 + 15.3589i 1.56077 + 0.795253i 0.999476 0.0323617i \(-0.0103029\pi\)
0.561296 + 0.827615i \(0.310303\pi\)
\(374\) −1.59924 + 1.98543i −0.0826945 + 0.102664i
\(375\) −10.4322 4.02110i −0.538716 0.207649i
\(376\) −4.27192 + 8.54848i −0.220308 + 0.440854i
\(377\) 2.95041 5.79050i 0.151954 0.298226i
\(378\) 0.108448 + 0.119815i 0.00557797 + 0.00616263i
\(379\) 11.0434 8.02353i 0.567264 0.412141i −0.266846 0.963739i \(-0.585982\pi\)
0.834110 + 0.551598i \(0.185982\pi\)
\(380\) 9.83676 + 12.4681i 0.504615 + 0.639599i
\(381\) −8.58914 6.24037i −0.440035 0.319704i
\(382\) −0.105073 0.975280i −0.00537601 0.0498997i
\(383\) −3.32987 21.0240i −0.170148 1.07427i −0.913936 0.405858i \(-0.866973\pi\)
0.743788 0.668416i \(-0.233027\pi\)
\(384\) −3.86138 + 10.6344i −0.197050 + 0.542683i
\(385\) 0.139973 + 0.00250775i 0.00713370 + 0.000127807i
\(386\) 1.20212 + 0.457863i 0.0611860 + 0.0233046i
\(387\) −1.48565 2.91575i −0.0755198 0.148216i
\(388\) 2.67373 2.18828i 0.135738 0.111093i
\(389\) −5.57557 + 1.81161i −0.282693 + 0.0918524i −0.446932 0.894568i \(-0.647483\pi\)
0.164239 + 0.986421i \(0.447483\pi\)
\(390\) 2.45005 + 0.983785i 0.124063 + 0.0498159i
\(391\) 23.3173 + 7.57625i 1.17921 + 0.383147i
\(392\) 5.95988 18.8419i 0.301019 0.951662i
\(393\) −15.7577 + 15.7577i −0.794872 + 0.794872i
\(394\) 1.75551 + 6.48411i 0.0884415 + 0.326665i
\(395\) 10.2909 + 5.47788i 0.517794 + 0.275622i
\(396\) −0.728959 + 0.818115i −0.0366316 + 0.0411118i
\(397\) 8.40000 + 1.33043i 0.421584 + 0.0667723i 0.363622 0.931547i \(-0.381540\pi\)
0.0579615 + 0.998319i \(0.481540\pi\)
\(398\) 10.3293 + 23.0385i 0.517762 + 1.15481i
\(399\) −0.405802 −0.0203155
\(400\) 17.0608 + 10.4370i 0.853038 + 0.521848i
\(401\) 20.6802 1.03272 0.516360 0.856372i \(-0.327287\pi\)
0.516360 + 0.856372i \(0.327287\pi\)
\(402\) −7.17476 16.0026i −0.357844 0.798135i
\(403\) −1.94365 0.307843i −0.0968199 0.0153348i
\(404\) 15.2648 17.1317i 0.759450 0.852335i
\(405\) −0.389304 + 2.20192i −0.0193446 + 0.109414i
\(406\) 0.328740 + 1.21423i 0.0163151 + 0.0602610i
\(407\) 0.174693 0.174693i 0.00865921 0.00865921i
\(408\) 2.80666 8.87315i 0.138950 0.439286i
\(409\) −24.9795 8.11632i −1.23515 0.401326i −0.382575 0.923924i \(-0.624963\pi\)
−0.852579 + 0.522598i \(0.824963\pi\)
\(410\) 7.03121 + 11.1988i 0.347246 + 0.553071i
\(411\) −7.05464 + 2.29219i −0.347980 + 0.113065i
\(412\) 17.5721 14.3817i 0.865715 0.708535i
\(413\) −0.302737 0.594154i −0.0148967 0.0292364i
\(414\) 9.84763 + 3.75077i 0.483984 + 0.184340i
\(415\) −11.3983 + 7.97336i −0.559521 + 0.391397i
\(416\) −3.99410 2.52052i −0.195827 0.123579i
\(417\) 1.46643 + 9.25868i 0.0718114 + 0.453399i
\(418\) −0.294732 2.73568i −0.0144158 0.133807i
\(419\) −27.5322 20.0033i −1.34504 0.977227i −0.999242 0.0389168i \(-0.987609\pi\)
−0.345795 0.938310i \(-0.612391\pi\)
\(420\) −0.479390 + 0.177064i −0.0233919 + 0.00863984i
\(421\) −3.66642 + 2.66381i −0.178690 + 0.129826i −0.673535 0.739155i \(-0.735225\pi\)
0.494845 + 0.868981i \(0.335225\pi\)
\(422\) −3.93934 4.35225i −0.191764 0.211864i
\(423\) 1.53390 3.01046i 0.0745810 0.146373i
\(424\) −17.9707 + 35.9608i −0.872733 + 1.74641i
\(425\) −14.3816 7.98917i −0.697609 0.387532i
\(426\) −14.0096 + 17.3928i −0.678767 + 0.842683i
\(427\) −0.684195 0.348615i −0.0331105 0.0168706i
\(428\) −0.420080 7.28940i −0.0203053 0.352347i
\(429\) −0.268868 0.370065i −0.0129811 0.0178669i
\(430\) 10.3070 0.923994i 0.497047 0.0445590i
\(431\) −6.87989 + 9.46936i −0.331393 + 0.456123i −0.941903 0.335885i \(-0.890964\pi\)
0.610510 + 0.792009i \(0.290964\pi\)
\(432\) 1.39452 3.74904i 0.0670938 0.180376i
\(433\) −16.1360 + 2.55570i −0.775448 + 0.122819i −0.531601 0.846995i \(-0.678409\pi\)
−0.243847 + 0.969814i \(0.578409\pi\)
\(434\) 0.318917 0.208289i 0.0153085 0.00999820i
\(435\) −10.4813 + 13.8958i −0.502539 + 0.666253i
\(436\) −8.82933 + 5.15908i −0.422848 + 0.247075i
\(437\) −23.5767 + 12.0130i −1.12783 + 0.574657i
\(438\) −0.428868 + 2.04380i −0.0204921 + 0.0976568i
\(439\) 7.35130 + 22.6250i 0.350858 + 1.07983i 0.958372 + 0.285522i \(0.0921669\pi\)
−0.607514 + 0.794309i \(0.707833\pi\)
\(440\) −1.54184 3.10317i −0.0735044 0.147938i
\(441\) −2.15908 + 6.64498i −0.102814 + 0.316427i
\(442\) 3.36953 + 1.93372i 0.160272 + 0.0919779i
\(443\) 28.7205 + 28.7205i 1.36455 + 1.36455i 0.868016 + 0.496536i \(0.165395\pi\)
0.496536 + 0.868016i \(0.334605\pi\)
\(444\) −0.362522 + 0.825780i −0.0172046 + 0.0391898i
\(445\) 15.8368 + 16.4146i 0.750737 + 0.778128i
\(446\) 15.6629 + 0.779987i 0.741660 + 0.0369334i
\(447\) −3.26074 + 20.5875i −0.154228 + 0.973755i
\(448\) 0.900587 0.157092i 0.0425487 0.00742190i
\(449\) 16.4871i 0.778074i 0.921222 + 0.389037i \(0.127192\pi\)
−0.921222 + 0.389037i \(0.872808\pi\)
\(450\) −6.00290 3.73701i −0.282979 0.176164i
\(451\) 2.29098i 0.107878i
\(452\) 29.9627 + 7.86154i 1.40933 + 0.369776i
\(453\) 3.03139 19.1394i 0.142427 0.899248i
\(454\) −0.630605 + 12.6632i −0.0295958 + 0.594312i
\(455\) −0.0295932 0.211273i −0.00138735 0.00990463i
\(456\) 4.62971 + 8.91357i 0.216806 + 0.417416i
\(457\) 12.2230 + 12.2230i 0.571769 + 0.571769i 0.932623 0.360853i \(-0.117514\pi\)
−0.360853 + 0.932623i \(0.617514\pi\)
\(458\) 13.4164 23.3782i 0.626908 1.09239i
\(459\) −1.01677 + 3.12929i −0.0474586 + 0.146063i
\(460\) −22.6105 + 24.4786i −1.05422 + 1.14132i
\(461\) 7.32565 + 22.5460i 0.341189 + 1.05007i 0.963592 + 0.267376i \(0.0861566\pi\)
−0.622403 + 0.782697i \(0.713843\pi\)
\(462\) 0.0866539 + 0.0181833i 0.00403150 + 0.000845962i
\(463\) −17.2393 + 8.78385i −0.801178 + 0.408220i −0.806109 0.591767i \(-0.798430\pi\)
0.00493114 + 0.999988i \(0.498430\pi\)
\(464\) 22.9203 21.0737i 1.06405 0.978323i
\(465\) 4.98252 + 1.71819i 0.231059 + 0.0796791i
\(466\) 15.8302 + 24.2381i 0.733322 + 1.12281i
\(467\) −25.3795 + 4.01972i −1.17442 + 0.186011i −0.712997 0.701167i \(-0.752663\pi\)
−0.461428 + 0.887178i \(0.652663\pi\)
\(468\) 1.40513 + 0.902136i 0.0649520 + 0.0417012i
\(469\) −0.832936 + 1.14644i −0.0384614 + 0.0529376i
\(470\) 7.02688 + 8.04861i 0.324126 + 0.371255i
\(471\) −9.19205 12.6518i −0.423547 0.582963i
\(472\) −9.59692 + 13.4283i −0.441734 + 0.618086i
\(473\) −1.59748 0.813959i −0.0734524 0.0374259i
\(474\) 5.74212 + 4.62519i 0.263744 + 0.212442i
\(475\) 17.0725 4.87844i 0.783339 0.223838i
\(476\) −0.734736 + 0.160175i −0.0336765 + 0.00734159i
\(477\) 6.45267 12.6641i 0.295447 0.579848i
\(478\) −4.78935 + 4.33497i −0.219060 + 0.198277i
\(479\) −27.4905 + 19.9730i −1.25607 + 0.912590i −0.998558 0.0536842i \(-0.982904\pi\)
−0.257515 + 0.966274i \(0.582904\pi\)
\(480\) 9.35853 + 8.50987i 0.427156 + 0.388421i
\(481\) −0.304577 0.221288i −0.0138875 0.0100899i
\(482\) −25.5022 + 2.74752i −1.16159 + 0.125146i
\(483\) −0.133201 0.841001i −0.00606088 0.0382669i
\(484\) 2.12606 21.2938i 0.0966392 0.967899i
\(485\) −1.12769 3.69460i −0.0512058 0.167763i
\(486\) −0.503371 + 1.32160i −0.0228334 + 0.0599488i
\(487\) 12.2987 + 24.1375i 0.557307 + 1.09378i 0.982078 + 0.188475i \(0.0603545\pi\)
−0.424771 + 0.905301i \(0.639645\pi\)
\(488\) 0.148398 + 19.0058i 0.00671767 + 0.860353i
\(489\) −19.7691 + 6.42336i −0.893988 + 0.290474i
\(490\) −16.9559 14.1659i −0.765988 0.639949i
\(491\) −1.87731 0.609975i −0.0847218 0.0275278i 0.266349 0.963877i \(-0.414182\pi\)
−0.351071 + 0.936349i \(0.614182\pi\)
\(492\) 3.03765 + 7.79188i 0.136948 + 0.351285i
\(493\) −18.1103 + 18.1103i −0.815647 + 0.815647i
\(494\) −4.04724 + 1.09575i −0.182094 + 0.0493002i
\(495\) 0.536540 + 1.10136i 0.0241157 + 0.0495024i
\(496\) −8.21359 4.62879i −0.368801 0.207839i
\(497\) 1.78239 + 0.282303i 0.0799511 + 0.0126630i
\(498\) −8.02770 + 3.59922i −0.359730 + 0.161285i
\(499\) −15.8221 −0.708297 −0.354148 0.935189i \(-0.615229\pi\)
−0.354148 + 0.935189i \(0.615229\pi\)
\(500\) 18.0398 13.2123i 0.806764 0.590874i
\(501\) −17.1856 −0.767798
\(502\) −21.8105 + 9.77874i −0.973449 + 0.436447i
\(503\) 16.5176 + 2.61613i 0.736482 + 0.116647i 0.513397 0.858151i \(-0.328387\pi\)
0.223086 + 0.974799i \(0.428387\pi\)
\(504\) −0.318829 + 0.0530527i −0.0142018 + 0.00236315i
\(505\) −11.2354 23.0630i −0.499970 1.02629i
\(506\) 5.57279 1.50878i 0.247741 0.0670735i
\(507\) 8.69949 8.69949i 0.386358 0.386358i
\(508\) 19.7833 7.71249i 0.877743 0.342187i
\(509\) −18.6546 6.06124i −0.826850 0.268660i −0.135132 0.990828i \(-0.543146\pi\)
−0.691718 + 0.722168i \(0.743146\pi\)
\(510\) −7.98495 6.67107i −0.353579 0.295400i
\(511\) 0.160484 0.0521444i 0.00709939 0.00230673i
\(512\) −13.7252 17.9894i −0.606572 0.795028i
\(513\) −1.61219 3.16411i −0.0711801 0.139699i
\(514\) 9.59511 25.1919i 0.423222 1.11117i
\(515\) −7.41134 24.2814i −0.326583 1.06997i
\(516\) 6.51247 + 0.650233i 0.286695 + 0.0286249i
\(517\) −0.289581 1.82834i −0.0127358 0.0804104i
\(518\) 0.0724533 0.00780585i 0.00318341 0.000342969i
\(519\) 10.7499 + 7.81027i 0.471869 + 0.342833i
\(520\) −4.30305 + 3.06039i −0.188701 + 0.134207i
\(521\) 18.9520 13.7694i 0.830303 0.603250i −0.0893421 0.996001i \(-0.528476\pi\)
0.919645 + 0.392751i \(0.128476\pi\)
\(522\) −8.16149 + 7.38719i −0.357219 + 0.323328i
\(523\) −0.561777 + 1.10255i −0.0245648 + 0.0482111i −0.902963 0.429719i \(-0.858613\pi\)
0.878398 + 0.477930i \(0.158613\pi\)
\(524\) −9.49333 43.5468i −0.414718 1.90235i
\(525\) −0.0204665 + 0.570999i −0.000893231 + 0.0249204i
\(526\) 15.5120 + 12.4947i 0.676357 + 0.544795i
\(527\) 6.91009 + 3.52086i 0.301008 + 0.153371i
\(528\) −0.589214 2.11083i −0.0256423 0.0918620i
\(529\) −19.1160 26.3109i −0.831129 1.14395i
\(530\) 29.5599 + 33.8581i 1.28400 + 1.47070i
\(531\) 3.42999 4.72098i 0.148849 0.204873i
\(532\) 0.438482 0.682960i 0.0190106 0.0296101i
\(533\) −3.44817 + 0.546137i −0.149357 + 0.0236558i
\(534\) 7.88820 + 12.0778i 0.341356 + 0.522659i
\(535\) −7.71735 2.66127i −0.333650 0.115057i
\(536\) 34.6847 + 5.21624i 1.49815 + 0.225307i
\(537\) −13.1983 + 6.72485i −0.569547 + 0.290199i
\(538\) 12.4808 + 2.61895i 0.538086 + 0.112911i
\(539\) 1.18292 + 3.64065i 0.0509520 + 0.156814i
\(540\) −3.28515 3.03444i −0.141370 0.130581i
\(541\) 5.99846 18.4614i 0.257894 0.793716i −0.735352 0.677686i \(-0.762983\pi\)
0.993246 0.116030i \(-0.0370170\pi\)
\(542\) 7.79223 13.5780i 0.334705 0.583226i
\(543\) 1.99422 + 1.99422i 0.0855800 + 0.0855800i
\(544\) 11.9007 + 14.3113i 0.510239 + 0.613592i
\(545\) 1.58597 + 11.3226i 0.0679354 + 0.485007i
\(546\) 0.00671074 0.134758i 0.000287193 0.00576712i
\(547\) −0.958973 + 6.05472i −0.0410027 + 0.258881i −0.999671 0.0256447i \(-0.991836\pi\)
0.958668 + 0.284526i \(0.0918361\pi\)
\(548\) 3.76503 14.3497i 0.160834 0.612987i
\(549\) 6.71978i 0.286793i
\(550\) −3.86420 + 0.276741i −0.164770 + 0.0118003i
\(551\) 27.6421i 1.17759i
\(552\) −16.9532 + 12.5206i −0.721575 + 0.532912i
\(553\) 0.0932005 0.588445i 0.00396329 0.0250232i
\(554\) 39.1606 + 1.95013i 1.66377 + 0.0828532i
\(555\) 0.700090 + 0.725633i 0.0297172 + 0.0308014i
\(556\) −17.1668 7.53632i −0.728033 0.319611i
\(557\) −4.22564 4.22564i −0.179046 0.179046i 0.611894 0.790940i \(-0.290408\pi\)
−0.790940 + 0.611894i \(0.790408\pi\)
\(558\) 2.89108 + 1.65915i 0.122389 + 0.0702373i
\(559\) −0.844279 + 2.59842i −0.0357092 + 0.109902i
\(560\) 0.220000 0.998132i 0.00929670 0.0421788i
\(561\) 0.557067 + 1.71448i 0.0235194 + 0.0723852i
\(562\) −2.85709 + 13.6157i −0.120519 + 0.574344i
\(563\) 7.19657 3.66683i 0.303299 0.154539i −0.295717 0.955276i \(-0.595559\pi\)
0.599016 + 0.800737i \(0.295559\pi\)
\(564\) 3.40913 + 5.83444i 0.143550 + 0.245674i
\(565\) 20.8555 27.6497i 0.877398 1.16323i
\(566\) −18.0200 + 11.7691i −0.757437 + 0.494693i
\(567\) 0.112866 0.0178763i 0.00473994 0.000750732i
\(568\) −14.1340 42.3715i −0.593050 1.77787i
\(569\) 20.6135 28.3720i 0.864161 1.18942i −0.116400 0.993202i \(-0.537135\pi\)
0.980561 0.196214i \(-0.0628646\pi\)
\(570\) 11.1849 1.00270i 0.468484 0.0419984i
\(571\) −5.87123 8.08106i −0.245703 0.338182i 0.668297 0.743894i \(-0.267023\pi\)
−0.914001 + 0.405713i \(0.867023\pi\)
\(572\) 0.913335 0.0526344i 0.0381885 0.00220075i
\(573\) −0.618018 0.314896i −0.0258181 0.0131550i
\(574\) 0.423903 0.526271i 0.0176934 0.0219661i
\(575\) 15.7142 + 33.7804i 0.655327 + 1.40874i
\(576\) 4.80277 + 6.39792i 0.200115 + 0.266580i
\(577\) −12.4104 + 24.3568i −0.516651 + 1.01399i 0.474376 + 0.880323i \(0.342674\pi\)
−0.991027 + 0.133663i \(0.957326\pi\)
\(578\) 5.85904 + 6.47316i 0.243704 + 0.269248i
\(579\) 0.735876 0.534645i 0.0305820 0.0222191i
\(580\) −12.0611 32.6548i −0.500811 1.35592i
\(581\) 0.575112 + 0.417843i 0.0238597 + 0.0173351i
\(582\) −0.261695 2.42903i −0.0108476 0.100687i
\(583\) −1.21818 7.69128i −0.0504518 0.318540i
\(584\) −2.97629 2.93018i −0.123160 0.121252i
\(585\) 1.52976 1.07010i 0.0632478 0.0442432i
\(586\) −34.6757 13.2073i −1.43244 0.545589i
\(587\) −16.2223 31.8381i −0.669566 1.31410i −0.936597 0.350409i \(-0.886042\pi\)
0.267030 0.963688i \(-0.413958\pi\)
\(588\) −8.85046 10.8138i −0.364987 0.445955i
\(589\) −7.96049 + 2.58652i −0.328006 + 0.106576i
\(590\) 9.81226 + 15.6283i 0.403964 + 0.643407i
\(591\) 4.51755 + 1.46784i 0.185827 + 0.0603789i
\(592\) −0.998061 1.50240i −0.0410201 0.0617484i
\(593\) −12.3866 + 12.3866i −0.508656 + 0.508656i −0.914114 0.405458i \(-0.867112\pi\)
0.405458 + 0.914114i \(0.367112\pi\)
\(594\) 0.202485 + 0.747894i 0.00830808 + 0.0306865i
\(595\) −0.146377 + 0.827913i −0.00600086 + 0.0339411i
\(596\) −31.1252 27.7332i −1.27494 1.13600i
\(597\) 17.6333 + 2.79284i 0.721683 + 0.114303i
\(598\) −3.59936 8.02799i −0.147189 0.328289i
\(599\) −10.8175 −0.441989 −0.220995 0.975275i \(-0.570930\pi\)
−0.220995 + 0.975275i \(0.570930\pi\)
\(600\) 12.7757 6.06485i 0.521564 0.247596i
\(601\) 11.1241 0.453761 0.226881 0.973923i \(-0.427147\pi\)
0.226881 + 0.973923i \(0.427147\pi\)
\(602\) −0.216357 0.482563i −0.00881807 0.0196678i
\(603\) −12.2481 1.93991i −0.498782 0.0789992i
\(604\) 28.9359 + 25.7825i 1.17738 + 1.04908i
\(605\) −21.1198 11.2421i −0.858643 0.457056i
\(606\) −4.24014 15.6613i −0.172244 0.636196i
\(607\) −23.0754 + 23.0754i −0.936602 + 0.936602i −0.998107 0.0615046i \(-0.980410\pi\)
0.0615046 + 0.998107i \(0.480410\pi\)
\(608\) −20.0040 1.83966i −0.811269 0.0746080i
\(609\) 0.845963 + 0.274870i 0.0342802 + 0.0111383i
\(610\) 19.7195 + 7.91810i 0.798418 + 0.320594i
\(611\) −2.68282 + 0.871702i −0.108535 + 0.0352653i
\(612\) −4.16791 5.09251i −0.168478 0.205852i
\(613\) −14.3058 28.0768i −0.577807 1.13401i −0.976215 0.216802i \(-0.930437\pi\)
0.398408 0.917208i \(-0.369563\pi\)
\(614\) 14.2017 + 5.40914i 0.573132 + 0.218295i
\(615\) 9.34868 + 0.167490i 0.376975 + 0.00675385i
\(616\) −0.124235 + 0.126190i −0.00500555 + 0.00508434i
\(617\) 2.38218 + 15.0405i 0.0959030 + 0.605508i 0.988094 + 0.153850i \(0.0491672\pi\)
−0.892191 + 0.451658i \(0.850833\pi\)
\(618\) −1.71990 15.9639i −0.0691844 0.642164i
\(619\) −16.5938 12.0561i −0.666962 0.484576i 0.202045 0.979376i \(-0.435241\pi\)
−0.869007 + 0.494800i \(0.835241\pi\)
\(620\) −8.27547 + 6.52897i −0.332351 + 0.262210i
\(621\) 6.02824 4.37977i 0.241905 0.175754i
\(622\) 18.8572 + 20.8338i 0.756105 + 0.835357i
\(623\) 0.529187 1.03859i 0.0212014 0.0416102i
\(624\) −3.03657 + 1.39002i −0.121560 + 0.0556455i
\(625\) −6.00334 24.2685i −0.240133 0.970740i
\(626\) 2.34457 2.91076i 0.0937080 0.116338i
\(627\) −1.73355 0.883290i −0.0692314 0.0352752i
\(628\) 31.2251 1.79946i 1.24602 0.0718064i
\(629\) 0.872093 + 1.20033i 0.0347726 + 0.0478604i
\(630\) −0.0805347 + 0.352275i −0.00320858 + 0.0140350i
\(631\) 15.9680 21.9780i 0.635675 0.874931i −0.362701 0.931906i \(-0.618145\pi\)
0.998376 + 0.0569743i \(0.0181453\pi\)
\(632\) −13.9887 + 4.66626i −0.556440 + 0.185614i
\(633\) −4.09983 + 0.649349i −0.162954 + 0.0258093i
\(634\) −16.0403 + 10.4762i −0.637043 + 0.416062i
\(635\) 0.425251 23.7360i 0.0168756 0.941934i
\(636\) 14.3412 + 24.5437i 0.568664 + 0.973221i
\(637\) 5.19759 2.64830i 0.205936 0.104930i
\(638\) −1.23859 + 5.90263i −0.0490364 + 0.233687i
\(639\) 4.88001 + 15.0191i 0.193050 + 0.594148i
\(640\) −24.4342 + 6.55510i −0.965847 + 0.259113i
\(641\) 11.5391 35.5136i 0.455765 1.40270i −0.414469 0.910063i \(-0.636033\pi\)
0.870234 0.492638i \(-0.163967\pi\)
\(642\) −4.47794 2.56982i −0.176730 0.101423i
\(643\) 32.3947 + 32.3947i 1.27752 + 1.27752i 0.942051 + 0.335471i \(0.108895\pi\)
0.335471 + 0.942051i \(0.391105\pi\)
\(644\) 1.55932 + 0.684552i 0.0614460 + 0.0269751i
\(645\) 3.43827 6.45927i 0.135382 0.254333i
\(646\) 16.5039 + 0.821867i 0.649338 + 0.0323359i
\(647\) −1.56537 + 9.88334i −0.0615410 + 0.388554i 0.937622 + 0.347656i \(0.113022\pi\)
−0.999163 + 0.0408988i \(0.986978\pi\)
\(648\) −1.68032 2.27520i −0.0660093 0.0893781i
\(649\) 3.19713i 0.125498i
\(650\) 1.33770 + 5.75008i 0.0524688 + 0.225537i
\(651\) 0.269344i 0.0105564i
\(652\) 10.5507 40.2118i 0.413196 1.57481i
\(653\) 3.02216 19.0811i 0.118266 0.746703i −0.855272 0.518179i \(-0.826610\pi\)
0.973538 0.228524i \(-0.0733899\pi\)
\(654\) −0.359643 + 7.22199i −0.0140632 + 0.282402i
\(655\) −49.0692 8.67554i −1.91729 0.338981i
\(656\) −16.3959 3.30705i −0.640153 0.129118i
\(657\) 1.04416 + 1.04416i 0.0407365 + 0.0407365i
\(658\) 0.271780 0.473579i 0.0105951 0.0184620i
\(659\) −9.26020 + 28.5000i −0.360726 + 1.11020i 0.591888 + 0.806020i \(0.298383\pi\)
−0.952614 + 0.304181i \(0.901617\pi\)
\(660\) −2.43332 0.287062i −0.0947170 0.0111739i
\(661\) −11.0378 33.9707i −0.429319 1.32131i −0.898797 0.438365i \(-0.855558\pi\)
0.469478 0.882944i \(-0.344442\pi\)
\(662\) −4.11646 0.863789i −0.159991 0.0335721i
\(663\) 2.44768 1.24715i 0.0950599 0.0484355i
\(664\) 2.61673 17.3996i 0.101549 0.675235i
\(665\) −0.520122 0.743539i −0.0201694 0.0288332i
\(666\) 0.348710 + 0.533919i 0.0135122 + 0.0206889i
\(667\) 57.2867 9.07332i 2.21815 0.351320i
\(668\) 18.5696 28.9232i 0.718481 1.11907i
\(669\) 6.51799 8.97124i 0.252000 0.346848i
\(670\) 20.1250 33.6568i 0.777498 1.30027i
\(671\) −2.16401 2.97851i −0.0835407 0.114984i
\(672\) 0.255218 0.593911i 0.00984527 0.0229106i
\(673\) 14.5989 + 7.43852i 0.562747 + 0.286734i 0.712133 0.702045i \(-0.247729\pi\)
−0.149385 + 0.988779i \(0.547729\pi\)
\(674\) 9.49472 + 7.64784i 0.365723 + 0.294584i
\(675\) −4.53348 + 2.10892i −0.174494 + 0.0811722i
\(676\) 5.24106 + 24.0412i 0.201579 + 0.924663i
\(677\) −19.3278 + 37.9329i −0.742827 + 1.45788i 0.140973 + 0.990013i \(0.454977\pi\)
−0.883800 + 0.467866i \(0.845023\pi\)
\(678\) 16.2396 14.6989i 0.623678 0.564508i
\(679\) −0.159708 + 0.116035i −0.00612903 + 0.00445300i
\(680\) 19.8553 6.23026i 0.761417 0.238920i
\(681\) 7.25309 + 5.26968i 0.277939 + 0.201935i
\(682\) 1.81576 0.195623i 0.0695290 0.00749080i
\(683\) 4.71709 + 29.7825i 0.180494 + 1.13960i 0.897005 + 0.442020i \(0.145738\pi\)
−0.716511 + 0.697576i \(0.754262\pi\)
\(684\) 7.06718 + 0.705618i 0.270221 + 0.0269800i
\(685\) −13.2419 9.98807i −0.505948 0.381625i
\(686\) −0.804553 + 2.11235i −0.0307180 + 0.0806499i
\(687\) −8.65291 16.9823i −0.330129 0.647915i
\(688\) −8.13127 + 10.2578i −0.310002 + 0.391075i
\(689\) −11.2858 + 3.66698i −0.429955 + 0.139701i
\(690\) 5.74939 + 22.8509i 0.218876 + 0.869920i
\(691\) −21.6237 7.02595i −0.822603 0.267280i −0.132676 0.991159i \(-0.542357\pi\)
−0.689926 + 0.723880i \(0.742357\pi\)
\(692\) −24.7602 + 9.65274i −0.941243 + 0.366942i
\(693\) 0.0442706 0.0442706i 0.00168170 0.00168170i
\(694\) 39.7683 10.7669i 1.50958 0.408705i
\(695\) −15.0849 + 14.5539i −0.572201 + 0.552059i
\(696\) −3.61380 21.7178i −0.136981 0.823210i
\(697\) 13.5892 + 2.15232i 0.514728 + 0.0815249i
\(698\) −31.8757 + 14.2915i −1.20651 + 0.540942i
\(699\) 20.4705 0.774265
\(700\) −0.938870 0.651428i −0.0354859 0.0246216i
\(701\) 24.5720 0.928072 0.464036 0.885816i \(-0.346401\pi\)
0.464036 + 0.885816i \(0.346401\pi\)
\(702\) 1.07739 0.483050i 0.0406636 0.0182316i
\(703\) −1.58159 0.250500i −0.0596510 0.00944778i
\(704\) 4.18916 + 1.28918i 0.157885 + 0.0485877i
\(705\) 7.48200 1.04801i 0.281788 0.0394704i
\(706\) 7.92560 2.14578i 0.298284 0.0807576i
\(707\) −0.927047 + 0.927047i −0.0348652 + 0.0348652i
\(708\) 4.23913 + 10.8738i 0.159316 + 0.408662i
\(709\) 23.7263 + 7.70913i 0.891059 + 0.289522i 0.718542 0.695484i \(-0.244810\pi\)
0.172517 + 0.985007i \(0.444810\pi\)
\(710\) −49.8245 3.37684i −1.86988 0.126731i
\(711\) 4.95848 1.61111i 0.185957 0.0604212i
\(712\) −28.8503 + 0.225264i −1.08121 + 0.00844213i
\(713\) −7.97338 15.6486i −0.298606 0.586046i
\(714\) −0.189265 + 0.496915i −0.00708308 + 0.0185966i
\(715\) 0.333448 0.966955i 0.0124702 0.0361621i
\(716\) 2.94330 29.4789i 0.109996 1.10168i
\(717\) 0.714563 + 4.51157i 0.0266859 + 0.168488i
\(718\) 20.9692 2.25914i 0.782563 0.0843104i
\(719\) 40.3089 + 29.2861i 1.50327 + 1.09219i 0.969057 + 0.246836i \(0.0793909\pi\)
0.534210 + 0.845352i \(0.320609\pi\)
\(720\) 8.65663 2.25006i 0.322614 0.0838547i
\(721\) −1.04962 + 0.762595i −0.0390900 + 0.0284005i
\(722\) 6.69913 6.06357i 0.249316 0.225663i
\(723\) −8.23409 + 16.1603i −0.306229 + 0.601009i
\(724\) −5.51106 + 1.20143i −0.204817 + 0.0446507i
\(725\) −38.8949 1.39412i −1.44452 0.0517763i
\(726\) −11.7844 9.49214i −0.437360 0.352286i
\(727\) −12.3755 6.30561i −0.458981 0.233862i 0.209183 0.977876i \(-0.432919\pi\)
−0.668164 + 0.744014i \(0.732919\pi\)
\(728\) 0.219545 + 0.156905i 0.00813689 + 0.00581528i
\(729\) 0.587785 + 0.809017i 0.0217698 + 0.0299636i
\(730\) −4.29449 + 1.83377i −0.158946 + 0.0678708i
\(731\) 6.32889 8.71097i 0.234082 0.322187i
\(732\) 11.3093 + 7.26094i 0.418004 + 0.268372i
\(733\) −20.2370 + 3.20522i −0.747470 + 0.118388i −0.518538 0.855055i \(-0.673523\pi\)
−0.228932 + 0.973442i \(0.573523\pi\)
\(734\) 15.4328 + 23.6296i 0.569637 + 0.872186i
\(735\) −14.9427 + 4.56092i −0.551170 + 0.168232i
\(736\) −2.75357 42.0609i −0.101498 1.55039i
\(737\) −6.05363 + 3.08448i −0.222988 + 0.113618i
\(738\) 5.78753 + 1.21444i 0.213042 + 0.0447042i
\(739\) −0.864509 2.66068i −0.0318015 0.0978749i 0.933896 0.357545i \(-0.116386\pi\)
−0.965697 + 0.259670i \(0.916386\pi\)
\(740\) −1.97770 + 0.394173i −0.0727018 + 0.0144901i
\(741\) −0.916193 + 2.81975i −0.0336572 + 0.103586i
\(742\) 1.14329 1.99220i 0.0419716 0.0731359i
\(743\) 12.0348 + 12.0348i 0.441514 + 0.441514i 0.892520 0.451007i \(-0.148935\pi\)
−0.451007 + 0.892520i \(0.648935\pi\)
\(744\) −5.91623 + 3.07289i −0.216899 + 0.112657i
\(745\) −41.9012 + 20.4127i −1.53514 + 0.747863i
\(746\) −2.37961 + 47.7849i −0.0871236 + 1.74953i
\(747\) −0.973158 + 6.14428i −0.0356060 + 0.224807i
\(748\) −3.48737 0.915010i −0.127511 0.0334561i
\(749\) 0.417182i 0.0152435i
\(750\) −0.846776 15.7887i −0.0309199 0.576522i
\(751\) 15.7846i 0.575988i 0.957632 + 0.287994i \(0.0929883\pi\)
−0.957632 + 0.287994i \(0.907012\pi\)
\(752\) −13.5030 0.566774i −0.492403 0.0206681i
\(753\) −2.64398 + 16.6934i −0.0963518 + 0.608341i
\(754\) 9.17936 + 0.457117i 0.334293 + 0.0166472i
\(755\) 38.9539 18.9769i 1.41768 0.690640i
\(756\) −0.0918701 + 0.209268i −0.00334128 + 0.00761102i
\(757\) 29.9500 + 29.9500i 1.08855 + 1.08855i 0.995678 + 0.0928725i \(0.0296049\pi\)
0.0928725 + 0.995678i \(0.470395\pi\)
\(758\) 16.7434 + 9.60878i 0.608147 + 0.349007i
\(759\) 1.26154 3.88262i 0.0457910 0.140930i
\(760\) −10.3981 + 19.9075i −0.377180 + 0.722121i
\(761\) 2.86616 + 8.82112i 0.103898 + 0.319765i 0.989470 0.144736i \(-0.0462334\pi\)
−0.885572 + 0.464502i \(0.846233\pi\)
\(762\) 3.08343 14.6943i 0.111701 0.532320i
\(763\) 0.520601 0.265259i 0.0188470 0.00960304i
\(764\) 1.19775 0.699862i 0.0433332 0.0253201i
\(765\) −7.03691 + 2.14785i −0.254420 + 0.0776558i
\(766\) 25.2037 16.4609i 0.910648 0.594757i
\(767\) −4.81203 + 0.762150i −0.173752 + 0.0275197i
\(768\) −15.9572 + 1.16985i −0.575805 + 0.0422133i
\(769\) −4.01537 + 5.52668i −0.144798 + 0.199297i −0.875256 0.483661i \(-0.839307\pi\)
0.730458 + 0.682958i \(0.239307\pi\)
\(770\) 0.0777487 + 0.182079i 0.00280187 + 0.00656167i
\(771\) −11.2042 15.4213i −0.403509 0.555383i
\(772\) 0.104664 + 1.81617i 0.00376693 + 0.0653655i
\(773\) 9.38905 + 4.78396i 0.337701 + 0.172067i 0.614614