Properties

Label 108.4.l.a.11.12
Level 108
Weight 4
Character 108.11
Analytic conductor 6.372
Analytic rank 0
Dimension 312
CM no
Inner twists 4

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Newspace parameters

Level: \( N \) \(=\) \( 108 = 2^{2} \cdot 3^{3} \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 108.l (of order \(18\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.37220628062\)
Analytic rank: \(0\)
Dimension: \(312\)
Relative dimension: \(52\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 11.12
Character \(\chi\) \(=\) 108.11
Dual form 108.4.l.a.59.12

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.10574 - 1.88834i) q^{2} +(-3.74172 - 3.60549i) q^{3} +(0.868318 + 7.95274i) q^{4} +(-1.60571 + 4.41165i) q^{5} +(1.07071 + 14.6579i) q^{6} +(23.1356 + 4.07942i) q^{7} +(13.1890 - 18.3861i) q^{8} +(1.00093 + 26.9814i) q^{9} +O(q^{10})\) \(q+(-2.10574 - 1.88834i) q^{2} +(-3.74172 - 3.60549i) q^{3} +(0.868318 + 7.95274i) q^{4} +(-1.60571 + 4.41165i) q^{5} +(1.07071 + 14.6579i) q^{6} +(23.1356 + 4.07942i) q^{7} +(13.1890 - 18.3861i) q^{8} +(1.00093 + 26.9814i) q^{9} +(11.7119 - 6.25768i) q^{10} +(-26.1319 + 9.51124i) q^{11} +(25.4245 - 32.8876i) q^{12} +(58.1938 - 48.8304i) q^{13} +(-41.0142 - 52.2781i) q^{14} +(21.9143 - 10.7178i) q^{15} +(-62.4920 + 13.8110i) q^{16} +(21.6675 - 12.5097i) q^{17} +(48.8425 - 58.7061i) q^{18} +(-39.2385 - 22.6543i) q^{19} +(-36.4790 - 8.93907i) q^{20} +(-71.8585 - 98.6790i) q^{21} +(72.9876 + 29.3178i) q^{22} +(-13.9803 - 79.2863i) q^{23} +(-115.641 + 21.2428i) q^{24} +(78.8712 + 66.1808i) q^{25} +(-214.750 - 7.06555i) q^{26} +(93.5360 - 104.566i) q^{27} +(-12.3536 + 187.533i) q^{28} +(167.711 - 199.870i) q^{29} +(-66.3847 - 18.8127i) q^{30} +(246.562 - 43.4756i) q^{31} +(157.672 + 88.9240i) q^{32} +(132.071 + 58.6299i) q^{33} +(-69.2489 - 14.5734i) q^{34} +(-55.1460 + 95.5156i) q^{35} +(-213.707 + 31.3886i) q^{36} +(70.2583 + 121.691i) q^{37} +(39.8470 + 121.800i) q^{38} +(-393.802 - 27.1073i) q^{39} +(59.9353 + 87.7082i) q^{40} +(19.4231 + 23.1475i) q^{41} +(-35.0243 + 343.486i) q^{42} +(41.0421 + 112.762i) q^{43} +(-98.3312 - 199.562i) q^{44} +(-120.640 - 38.9086i) q^{45} +(-120.281 + 193.356i) q^{46} +(-81.7043 + 463.368i) q^{47} +(283.623 + 173.637i) q^{48} +(196.298 + 71.4466i) q^{49} +(-41.1105 - 288.296i) q^{50} +(-126.177 - 31.3140i) q^{51} +(438.866 + 420.400i) q^{52} -660.407i q^{53} +(-394.419 + 43.5608i) q^{54} -130.557i q^{55} +(380.141 - 371.569i) q^{56} +(65.1394 + 226.240i) q^{57} +(-730.581 + 104.180i) q^{58} +(363.665 + 132.363i) q^{59} +(104.264 + 164.972i) q^{60} +(-43.2989 + 245.560i) q^{61} +(-601.294 - 374.046i) q^{62} +(-86.9116 + 628.314i) q^{63} +(-164.098 - 484.990i) q^{64} +(121.980 + 335.138i) q^{65} +(-167.394 - 372.855i) q^{66} +(-394.307 - 469.917i) q^{67} +(118.301 + 161.454i) q^{68} +(-233.555 + 347.073i) q^{69} +(296.490 - 96.9970i) q^{70} +(145.605 + 252.195i) q^{71} +(509.285 + 337.456i) q^{72} +(302.247 - 523.507i) q^{73} +(81.8483 - 388.922i) q^{74} +(-56.4999 - 531.999i) q^{75} +(146.092 - 331.724i) q^{76} +(-643.377 + 113.445i) q^{77} +(778.059 + 800.715i) q^{78} +(81.0739 - 96.6201i) q^{79} +(39.4147 - 297.870i) q^{80} +(-726.996 + 54.0132i) q^{81} +(2.81044 - 85.4202i) q^{82} +(676.005 + 567.235i) q^{83} +(722.372 - 657.156i) q^{84} +(20.3969 + 115.676i) q^{85} +(126.510 - 314.950i) q^{86} +(-1348.16 + 143.179i) q^{87} +(-169.780 + 605.909i) q^{88} +(-5.70799 - 3.29551i) q^{89} +(180.564 + 309.741i) q^{90} +(1545.55 - 892.321i) q^{91} +(618.404 - 180.027i) q^{92} +(-1079.32 - 726.304i) q^{93} +(1047.05 - 821.449i) q^{94} +(162.949 - 136.730i) q^{95} +(-269.351 - 901.214i) q^{96} +(-634.365 + 230.890i) q^{97} +(-278.438 - 521.126i) q^{98} +(-282.783 - 695.557i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 312q - 6q^{2} - 6q^{4} - 12q^{5} - 6q^{6} - 9q^{8} - 12q^{9} + O(q^{10}) \) \( 312q - 6q^{2} - 6q^{4} - 12q^{5} - 6q^{6} - 9q^{8} - 12q^{9} - 3q^{10} - 123q^{12} - 12q^{13} + 69q^{14} - 6q^{16} - 18q^{17} + 351q^{18} + 225q^{20} - 12q^{21} - 6q^{22} - 300q^{24} - 12q^{25} - 12q^{28} - 96q^{29} - 207q^{30} - 696q^{32} + 858q^{33} - 30q^{34} - 1056q^{36} - 6q^{37} - 900q^{38} - 381q^{40} + 138q^{41} + 2574q^{42} + 2655q^{44} - 672q^{45} - 3q^{46} - 435q^{48} - 12q^{49} - 2829q^{50} + 1371q^{52} - 4458q^{54} - 2925q^{56} + 660q^{57} + 885q^{58} + 966q^{60} - 12q^{61} + 1872q^{62} - 3q^{64} - 708q^{65} + 3093q^{66} + 2211q^{68} - 1572q^{69} - 1011q^{70} - 4524q^{72} - 6q^{73} - 5883q^{74} - 198q^{76} - 996q^{77} - 2976q^{78} + 444q^{81} - 12q^{82} + 6324q^{84} - 762q^{85} + 8322q^{86} + 1530q^{88} + 4212q^{89} - 1104q^{90} - 3255q^{92} + 7404q^{93} + 2019q^{94} + 582q^{96} - 66q^{97} + 2898q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/108\mathbb{Z}\right)^\times\).

\(n\) \(29\) \(55\)
\(\chi(n)\) \(e\left(\frac{13}{18}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.10574 1.88834i −0.744493 0.667630i
\(3\) −3.74172 3.60549i −0.720094 0.693876i
\(4\) 0.868318 + 7.95274i 0.108540 + 0.994092i
\(5\) −1.60571 + 4.41165i −0.143619 + 0.394590i −0.990557 0.137102i \(-0.956221\pi\)
0.846938 + 0.531692i \(0.178443\pi\)
\(6\) 1.07071 + 14.6579i 0.0728524 + 0.997343i
\(7\) 23.1356 + 4.07942i 1.24920 + 0.220268i 0.758856 0.651259i \(-0.225759\pi\)
0.490347 + 0.871527i \(0.336870\pi\)
\(8\) 13.1890 18.3861i 0.582879 0.812559i
\(9\) 1.00093 + 26.9814i 0.0370716 + 0.999313i
\(10\) 11.7119 6.25768i 0.370364 0.197885i
\(11\) −26.1319 + 9.51124i −0.716279 + 0.260704i −0.674345 0.738416i \(-0.735574\pi\)
−0.0419338 + 0.999120i \(0.513352\pi\)
\(12\) 25.4245 32.8876i 0.611618 0.791153i
\(13\) 58.1938 48.8304i 1.24154 1.04178i 0.244141 0.969740i \(-0.421494\pi\)
0.997402 0.0720380i \(-0.0229503\pi\)
\(14\) −41.0142 52.2781i −0.782965 0.997994i
\(15\) 21.9143 10.7178i 0.377216 0.184488i
\(16\) −62.4920 + 13.8110i −0.976438 + 0.215797i
\(17\) 21.6675 12.5097i 0.309126 0.178474i −0.337409 0.941358i \(-0.609551\pi\)
0.646535 + 0.762884i \(0.276217\pi\)
\(18\) 48.8425 58.7061i 0.639572 0.768731i
\(19\) −39.2385 22.6543i −0.473785 0.273540i 0.244038 0.969766i \(-0.421528\pi\)
−0.717823 + 0.696226i \(0.754861\pi\)
\(20\) −36.4790 8.93907i −0.407847 0.0999418i
\(21\) −71.8585 98.6790i −0.746705 1.02541i
\(22\) 72.9876 + 29.3178i 0.707319 + 0.284117i
\(23\) −13.9803 79.2863i −0.126743 0.718797i −0.980257 0.197727i \(-0.936644\pi\)
0.853514 0.521070i \(1.82553\pi\)
\(24\) −115.641 + 21.2428i −0.983543 + 0.180673i
\(25\) 78.8712 + 66.1808i 0.630970 + 0.529446i
\(26\) −214.750 7.06555i −1.61984 0.0532950i
\(27\) 93.5360 104.566i 0.666704 0.745322i
\(28\) −12.3536 + 187.533i −0.0833787 + 1.26573i
\(29\) 167.711 199.870i 1.07390 1.27983i 0.115841 0.993268i \(-0.463044\pi\)
0.958062 0.286560i \(-0.0925119\pi\)
\(30\) −66.3847 18.8127i −0.404004 0.114491i
\(31\) 246.562 43.4756i 1.42851 0.251886i 0.594707 0.803942i \(-0.297268\pi\)
0.833807 + 0.552057i \(0.186157\pi\)
\(32\) 157.672 + 88.9240i 0.871024 + 0.491240i
\(33\) 132.071 + 58.6299i 0.696685 + 0.309277i
\(34\) −69.2489 14.5734i −0.349297 0.0735092i
\(35\) −55.1460 + 95.5156i −0.266325 + 0.461288i
\(36\) −213.707 + 31.3886i −0.989385 + 0.145318i
\(37\) 70.2583 + 121.691i 0.312173 + 0.540699i 0.978832 0.204663i \(-0.0656098\pi\)
−0.666660 + 0.745362i \(0.732277\pi\)
\(38\) 39.8470 + 121.800i 0.170106 + 0.519962i
\(39\) −393.802 27.1073i −1.61689 0.111299i
\(40\) 59.9353 + 87.7082i 0.236915 + 0.346697i
\(41\) 19.4231 + 23.1475i 0.0739848 + 0.0881716i 0.801767 0.597636i \(-0.203893\pi\)
−0.727782 + 0.685808i \(0.759449\pi\)
\(42\) −35.0243 + 343.486i −0.128675 + 1.26193i
\(43\) 41.0421 + 112.762i 0.145555 + 0.399909i 0.990950 0.134233i \(-0.0428570\pi\)
−0.845395 + 0.534142i \(0.820635\pi\)
\(44\) −98.3312 199.562i −0.336909 0.683751i
\(45\) −120.640 38.9086i −0.399643 0.128892i
\(46\) −120.281 + 193.356i −0.385531 + 0.619757i
\(47\) −81.7043 + 463.368i −0.253570 + 1.43807i 0.546147 + 0.837690i \(0.316094\pi\)
−0.799717 + 0.600378i \(0.795017\pi\)
\(48\) 283.623 + 173.637i 0.852864 + 0.522133i
\(49\) 196.298 + 71.4466i 0.572297 + 0.208299i
\(50\) −41.1105 288.296i −0.116278 0.815424i
\(51\) −126.177 31.3140i −0.346439 0.0859771i
\(52\) 438.866 + 420.400i 1.17038 + 1.12113i
\(53\) 660.407i 1.71158i −0.517321 0.855791i \(-0.673071\pi\)
0.517321 0.855791i \(-0.326929\pi\)
\(54\) −394.419 + 43.5608i −0.993956 + 0.109775i
\(55\) 130.557i 0.320079i
\(56\) 380.141 371.569i 0.907115 0.886662i
\(57\) 65.1394 + 226.240i 0.151367 + 0.525723i
\(58\) −730.581 + 104.180i −1.65397 + 0.235853i
\(59\) 363.665 + 132.363i 0.802459 + 0.292071i 0.710505 0.703692i \(-0.248466\pi\)
0.0919541 + 0.995763i \(0.470689\pi\)
\(60\) 104.264 + 164.972i 0.224341 + 0.354963i
\(61\) −43.2989 + 245.560i −0.0908829 + 0.515422i 0.905049 + 0.425308i \(0.139834\pi\)
−0.995931 + 0.0901141i \(0.971277\pi\)
\(62\) −601.294 374.046i −1.23168 0.766192i
\(63\) −86.9116 + 628.314i −0.173807 + 1.25651i
\(64\) −164.098 484.990i −0.320504 0.947247i
\(65\) 121.980 + 335.138i 0.232766 + 0.639519i
\(66\) −167.394 372.855i −0.312194 0.695383i
\(67\) −394.307 469.917i −0.718989 0.856857i 0.275543 0.961289i \(-0.411142\pi\)
−0.994532 + 0.104431i \(0.966698\pi\)
\(68\) 118.301 + 161.454i 0.210972 + 0.287928i
\(69\) −233.555 + 347.073i −0.407489 + 0.605546i
\(70\) 296.490 96.9970i 0.506247 0.165619i
\(71\) 145.605 + 252.195i 0.243382 + 0.421550i 0.961676 0.274190i \(-0.0884097\pi\)
−0.718293 + 0.695740i \(0.755076\pi\)
\(72\) 509.285 + 337.456i 0.833609 + 0.552355i
\(73\) 302.247 523.507i 0.484594 0.839341i −0.515250 0.857040i \(-0.672301\pi\)
0.999843 + 0.0176993i \(0.00563416\pi\)
\(74\) 81.8483 388.922i 0.128577 0.610963i
\(75\) −56.4999 531.999i −0.0869874 0.819066i
\(76\) 146.092 331.724i 0.220499 0.500676i
\(77\) −643.377 + 113.445i −0.952203 + 0.167899i
\(78\) 778.059 + 800.715i 1.12946 + 1.16235i
\(79\) 81.0739 96.6201i 0.115462 0.137603i −0.705217 0.708991i \(-0.749151\pi\)
0.820680 + 0.571389i \(0.193595\pi\)
\(80\) 39.4147 297.870i 0.0550838 0.416285i
\(81\) −726.996 + 54.0132i −0.997251 + 0.0740921i
\(82\) 2.81044 85.4202i 0.00378489 0.115038i
\(83\) 676.005 + 567.235i 0.893990 + 0.750147i 0.969006 0.247036i \(-0.0794565\pi\)
−0.0750164 + 0.997182i \(0.523901\pi\)
\(84\) 722.372 657.156i 0.938301 0.853591i
\(85\) 20.3969 + 115.676i 0.0260277 + 0.147610i
\(86\) 126.510 314.950i 0.158627 0.394906i
\(87\) −1348.16 + 143.179i −1.66135 + 0.176441i
\(88\) −169.780 + 605.909i −0.205666 + 0.733978i
\(89\) −5.70799 3.29551i −0.00679827 0.00392498i 0.496597 0.867981i \(-0.334583\pi\)
−0.503395 + 0.864056i \(0.667916\pi\)
\(90\) 180.564 + 309.741i 0.211479 + 0.362773i
\(91\) 1545.55 892.321i 1.78041 1.02792i
\(92\) 618.404 180.027i 0.700794 0.204013i
\(93\) −1079.32 726.304i −1.20344 0.809830i
\(94\) 1047.05 821.449i 1.14888 0.901340i
\(95\) 162.949 136.730i 0.175981 0.147665i
\(96\) −269.351 901.214i −0.286359 0.958122i
\(97\) −634.365 + 230.890i −0.664020 + 0.241684i −0.651971 0.758244i \(-0.726058\pi\)
−0.0120491 + 0.999927i \(0.503835\pi\)
\(98\) −278.438 521.126i −0.287005 0.537160i
\(99\) −282.783 695.557i −0.287079 0.706122i
\(100\) −457.833 + 684.708i −0.457833 + 0.684708i
\(101\) 445.695 + 78.5881i 0.439092 + 0.0774238i 0.388824 0.921312i \(-0.372881\pi\)
0.0502680 + 0.998736i \(0.483992\pi\)
\(102\) 206.566 + 304.205i 0.200520 + 0.295302i
\(103\) 433.123 1189.99i 0.414338 1.13838i −0.540522 0.841330i \(-0.681773\pi\)
0.954860 0.297055i \(-0.0960045\pi\)
\(104\) −130.281 1713.98i −0.122837 1.61606i
\(105\) 550.721 158.565i 0.511856 0.147375i
\(106\) −1247.08 + 1390.65i −1.14270 + 1.27426i
\(107\) −1172.33 −1.05919 −0.529594 0.848251i \(-0.677656\pi\)
−0.529594 + 0.848251i \(0.677656\pi\)
\(108\) 912.804 + 653.071i 0.813283 + 0.581868i
\(109\) −1148.51 −1.00924 −0.504619 0.863342i \(-0.668367\pi\)
−0.504619 + 0.863342i \(0.668367\pi\)
\(110\) −246.537 + 274.920i −0.213694 + 0.238296i
\(111\) 175.868 708.649i 0.150384 0.605964i
\(112\) −1502.13 + 64.5939i −1.26730 + 0.0544959i
\(113\) −562.304 + 1544.92i −0.468116 + 1.28614i 0.451132 + 0.892457i \(0.351020\pi\)
−0.919248 + 0.393680i \(0.871202\pi\)
\(114\) 290.052 599.409i 0.238297 0.492454i
\(115\) 372.232 + 65.6345i 0.301833 + 0.0532213i
\(116\) 1735.14 + 1160.21i 1.38883 + 0.928647i
\(117\) 1375.76 + 1521.28i 1.08709 + 1.20207i
\(118\) −515.838 965.447i −0.402430 0.753191i
\(119\) 552.322 201.029i 0.425473 0.154860i
\(120\) 91.9696 544.275i 0.0699636 0.414044i
\(121\) −427.191 + 358.456i −0.320955 + 0.269313i
\(122\) 554.878 435.324i 0.411773 0.323052i
\(123\) 10.7824 156.641i 0.00790418 0.114828i
\(124\) 559.845 + 1923.10i 0.405448 + 1.39273i
\(125\) −926.836 + 535.109i −0.663190 + 0.382893i
\(126\) 1369.49 1158.95i 0.968282 0.819424i
\(127\) 1693.19 + 977.563i 1.18304 + 0.683029i 0.956716 0.291022i \(-0.0939954\pi\)
0.226325 + 0.974052i \(0.427329\pi\)
\(128\) −570.280 + 1331.14i −0.393797 + 0.919197i
\(129\) 252.995 569.902i 0.172674 0.388969i
\(130\) 375.996 936.056i 0.253670 0.631519i
\(131\) 201.254 + 1141.37i 0.134226 + 0.761235i 0.975395 + 0.220463i \(0.0707568\pi\)
−0.841169 + 0.540772i \(0.818132\pi\)
\(132\) −351.589 + 1101.24i −0.231832 + 0.726138i
\(133\) −815.387 684.191i −0.531602 0.446067i
\(134\) −57.0546 + 1734.11i −0.0367818 + 1.11794i
\(135\) 311.116 + 580.551i 0.198345 + 0.370117i
\(136\) 55.7682 563.373i 0.0351624 0.355212i
\(137\) 687.652 819.511i 0.428832 0.511063i −0.507753 0.861503i \(-0.669524\pi\)
0.936585 + 0.350440i \(0.113968\pi\)
\(138\) 1147.20 289.814i 0.707654 0.178773i
\(139\) −2803.93 + 494.409i −1.71098 + 0.301692i −0.941509 0.336988i \(-0.890592\pi\)
−0.769472 + 0.638680i \(0.779481\pi\)
\(140\) −807.495 355.624i −0.487470 0.214683i
\(141\) 1976.38 1439.21i 1.18044 0.859598i
\(142\) 169.624 806.011i 0.100243 0.476331i
\(143\) −1056.28 + 1829.53i −0.617695 + 1.06988i
\(144\) −435.191 1672.30i −0.251847 0.967767i
\(145\) 612.463 + 1060.82i 0.350774 + 0.607559i
\(146\) −1625.02 + 531.626i −0.921146 + 0.301354i
\(147\) −476.892 975.083i −0.267574 0.547099i
\(148\) −906.770 + 664.412i −0.503622 + 0.369016i
\(149\) −55.7993 66.4990i −0.0306796 0.0365625i 0.750486 0.660886i \(-0.229819\pi\)
−0.781166 + 0.624323i \(0.785375\pi\)
\(150\) −885.622 + 1226.95i −0.482072 + 0.667864i
\(151\) 540.650 + 1485.42i 0.291374 + 0.800544i 0.995866 + 0.0908321i \(0.0289526\pi\)
−0.704492 + 0.709712i \(0.748825\pi\)
\(152\) −934.043 + 422.654i −0.498427 + 0.225538i
\(153\) 359.218 + 572.099i 0.189811 + 0.302297i
\(154\) 1569.01 + 976.031i 0.821003 + 0.510720i
\(155\) −204.108 + 1157.56i −0.105770 + 0.599853i
\(156\) −126.368 3155.34i −0.0648561 1.61942i
\(157\) −1134.21 412.818i −0.576558 0.209850i 0.0372490 0.999306i \(-0.488141\pi\)
−0.613807 + 0.789456i \(0.710363\pi\)
\(158\) −353.173 + 50.3619i −0.177829 + 0.0253581i
\(159\) −2381.09 + 2471.06i −1.18763 + 1.23250i
\(160\) −645.477 + 552.808i −0.318934 + 0.273146i
\(161\) 1891.36i 0.925841i
\(162\) 1632.86 + 1259.08i 0.791913 + 0.610634i
\(163\) 1629.09i 0.782824i −0.920216 0.391412i \(-0.871987\pi\)
0.920216 0.391412i \(-0.128013\pi\)
\(164\) −167.221 + 174.566i −0.0796204 + 0.0831178i
\(165\) −470.722 + 488.508i −0.222095 + 0.230487i
\(166\) −352.358 2470.98i −0.164749 1.15533i
\(167\) −1006.04 366.168i −0.466165 0.169670i 0.0982492 0.995162i \(-0.468676\pi\)
−0.564414 + 0.825492i \(0.690898\pi\)
\(168\) −2762.07 + 19.7162i −1.26844 + 0.00905438i
\(169\) 620.605 3519.63i 0.282479 1.60202i
\(170\) 175.486 282.101i 0.0791716 0.127272i
\(171\) 571.971 1081.39i 0.255788 0.483600i
\(172\) −861.131 + 424.311i −0.381748 + 0.188101i
\(173\) 1338.47 + 3677.42i 0.588220 + 1.61612i 0.773756 + 0.633484i \(0.218376\pi\)
−0.185535 + 0.982638i \(0.559402\pi\)
\(174\) 3109.25 + 2244.29i 1.35466 + 0.977811i
\(175\) 1554.75 + 1852.88i 0.671589 + 0.800369i
\(176\) 1501.68 955.285i 0.643143 0.409133i
\(177\) −883.498 1806.45i −0.375185 0.767126i
\(178\) 5.79652 + 17.7182i 0.00244083 + 0.00746085i
\(179\) −892.822 1546.41i −0.372808 0.645723i 0.617188 0.786815i \(-0.288272\pi\)
−0.989996 + 0.141093i \(0.954938\pi\)
\(180\) 204.676 993.202i 0.0847536 0.411272i
\(181\) 2299.63 3983.07i 0.944364 1.63569i 0.187344 0.982294i \(-0.440012\pi\)
0.757020 0.653392i \(-0.226655\pi\)
\(182\) −4939.53 1039.52i −2.01177 0.423376i
\(183\) 1047.38 762.704i 0.423083 0.308091i
\(184\) −1642.15 788.667i −0.657941 0.315985i
\(185\) −649.672 + 114.555i −0.258188 + 0.0455256i
\(186\) 901.257 + 3567.53i 0.355287 + 1.40637i
\(187\) −447.230 + 532.988i −0.174892 + 0.208428i
\(188\) −3755.99 247.422i −1.45709 0.0959846i
\(189\) 2590.58 2037.62i 0.997020 0.784205i
\(190\) −601.321 19.7843i −0.229602 0.00755422i
\(191\) 1432.06 + 1201.64i 0.542514 + 0.455223i 0.872396 0.488799i \(-0.162565\pi\)
−0.329883 + 0.944022i \(0.607009\pi\)
\(192\) −1134.62 + 2406.35i −0.426479 + 0.904498i
\(193\) 768.962 + 4361.00i 0.286793 + 1.62648i 0.698809 + 0.715308i \(0.253714\pi\)
−0.412016 + 0.911177i \(0.635175\pi\)
\(194\) 1771.81 + 711.703i 0.655714 + 0.263388i
\(195\) 751.920 1693.79i 0.276134 0.622025i
\(196\) −397.747 + 1623.14i −0.144952 + 0.591525i
\(197\) 871.895 + 503.389i 0.315330 + 0.182056i 0.649309 0.760525i \(-0.275058\pi\)
−0.333979 + 0.942580i \(0.608392\pi\)
\(198\) −717.981 + 1998.66i −0.257700 + 0.717365i
\(199\) −1312.14 + 757.562i −0.467411 + 0.269860i −0.715155 0.698965i \(-0.753644\pi\)
0.247744 + 0.968826i \(0.420311\pi\)
\(200\) 2257.04 577.273i 0.797985 0.204097i
\(201\) −218.892 + 3179.96i −0.0768133 + 1.11591i
\(202\) −790.119 1007.11i −0.275211 0.350793i
\(203\) 4695.45 3939.95i 1.62343 1.36222i
\(204\) 139.470 1030.65i 0.0478668 0.353724i
\(205\) −133.307 + 48.5196i −0.0454173 + 0.0165305i
\(206\) −3159.16 + 1687.94i −1.06849 + 0.570895i
\(207\) 2125.26 456.569i 0.713604 0.153303i
\(208\) −2962.25 + 3855.23i −0.987477 + 1.28515i
\(209\) 1240.85 + 218.795i 0.410676 + 0.0724132i
\(210\) −1459.10 706.054i −0.479465 0.232011i
\(211\) 1865.52 5125.47i 0.608662 1.67228i −0.124492 0.992221i \(-0.539730\pi\)
0.733153 0.680063i \(-0.238048\pi\)
\(212\) 5252.04 573.443i 1.70147 0.185775i
\(213\) 364.474 1468.62i 0.117246 0.472433i
\(214\) 2468.62 + 2213.76i 0.788559 + 0.707146i
\(215\) −563.370 −0.178705
\(216\) −688.909 3098.89i −0.217011 0.976169i
\(217\) 5881.72 1.83999
\(218\) 2418.46 + 2168.77i 0.751371 + 0.673798i
\(219\) −3018.42 + 869.069i −0.931352 + 0.268157i
\(220\) 1038.29 113.365i 0.318188 0.0347413i
\(221\) 650.059 1786.02i 0.197863 0.543624i
\(222\) −1708.51 + 1160.13i −0.516520 + 0.350735i
\(223\) −3763.83 663.665i −1.13025 0.199293i −0.422911 0.906171i \(-0.638992\pi\)
−0.707335 + 0.706878i \(0.750103\pi\)
\(224\) 3285.08 + 2700.52i 0.979881 + 0.805518i
\(225\) −1706.71 + 2194.30i −0.505691 + 0.650163i
\(226\) 4101.40 2191.38i 1.20717 0.644992i
\(227\) −1507.23 + 548.585i −0.440697 + 0.160400i −0.552832 0.833292i \(-0.686453\pi\)
0.112136 + 0.993693i \(0.464231\pi\)
\(228\) −1742.66 + 714.485i −0.506188 + 0.207535i
\(229\) −4263.94 + 3577.87i −1.23043 + 1.03246i −0.232223 + 0.972663i \(0.574600\pi\)
−0.998211 + 0.0597935i \(0.980956\pi\)
\(230\) −659.884 841.111i −0.189180 0.241136i
\(231\) 2816.36 + 1895.21i 0.802177 + 0.539808i
\(232\) −1462.89 5719.66i −0.413980 1.61859i
\(233\) 1263.77 729.637i 0.355332 0.205151i −0.311699 0.950181i \(-0.600898\pi\)
0.667031 + 0.745030i \(0.267565\pi\)
\(234\) −24.3111 5801.33i −0.00679173 1.62070i
\(235\) −1913.02 1104.48i −0.531029 0.306590i
\(236\) −736.872 + 3007.06i −0.203247 + 0.829420i
\(237\) −651.718 + 69.2145i −0.178623 + 0.0189703i
\(238\) −1542.66 619.659i −0.420151 0.168767i
\(239\) −506.598 2873.06i −0.137109 0.777584i −0.973368 0.229249i \(-0.926373\pi\)
0.836259 0.548335i \(1.81526\pi\)
\(240\) −1221.44 + 972.435i −0.328516 + 0.261543i
\(241\) −4905.48 4116.19i −1.31116 1.10020i −0.988099 0.153817i \(-0.950843\pi\)
−0.323062 0.946378i \(-0.604712\pi\)
\(242\) 1576.44 + 51.8671i 0.418751 + 0.0137775i
\(243\) 2914.96 + 2419.07i 0.769526 + 0.638616i
\(244\) −1990.47 131.120i −0.522242 0.0344021i
\(245\) −630.395 + 751.276i −0.164386 + 0.195907i
\(246\) −318.497 + 309.486i −0.0825473 + 0.0802117i
\(247\) −3389.65 + 597.687i −0.873192 + 0.153967i
\(248\) 2452.58 5106.73i 0.627979 1.30757i
\(249\) −484.261 4559.76i −0.123248 1.16049i
\(250\) 2962.15 + 623.382i 0.749371 + 0.157704i
\(251\) 2895.49 5015.13i 0.728134 1.26116i −0.229538 0.973300i \(-0.573721\pi\)
0.957671 0.287865i \(-0.0929453\pi\)
\(252\) −5072.28 145.609i −1.26795 0.0363988i
\(253\) 1119.44 + 1938.93i 0.278177 + 0.481817i
\(254\) −1719.45 5255.82i −0.424755 1.29834i
\(255\) 340.750 506.369i 0.0836809 0.124353i
\(256\) 3714.51 1726.16i 0.906863 0.421425i
\(257\) −1081.15 1288.47i −0.262415 0.312734i 0.618708 0.785621i \(-0.287656\pi\)
−0.881123 + 0.472887i \(0.843212\pi\)
\(258\) −1608.91 + 722.326i −0.388242 + 0.174303i
\(259\) 1129.04 + 3102.00i 0.270868 + 0.744205i
\(260\) −2559.35 + 1261.08i −0.610477 + 0.300804i
\(261\) 5560.66 + 4325.03i 1.31876 + 1.02572i
\(262\) 1731.51 2783.47i 0.408293 0.656348i
\(263\) −78.2918 + 444.015i −0.0183562 + 0.104103i −0.992609 0.121354i \(-0.961276\pi\)
0.974253 + 0.225457i \(0.0723875\pi\)
\(264\) 2819.87 1655.00i 0.657389 0.385826i
\(265\) 2913.49 + 1060.42i 0.675373 + 0.245816i
\(266\) 425.009 + 2980.46i 0.0979661 + 0.687007i
\(267\) 9.47579 + 32.9110i 0.00217194 + 0.00754352i
\(268\) 3394.74 3543.86i 0.773756 0.807744i
\(269\) 5984.51i 1.35644i −0.734859 0.678220i \(-0.762752\pi\)
0.734859 0.678220i \(-0.237248\pi\)
\(270\) 441.148 1809.99i 0.0994348 0.407971i
\(271\) 2752.62i 0.617010i 0.951223 + 0.308505i \(0.0998286\pi\)
−0.951223 + 0.308505i \(0.900171\pi\)
\(272\) −1181.27 + 1081.01i −0.263328 + 0.240977i
\(273\) −9000.25 2233.63i −1.99531 0.495184i
\(274\) −2995.54 + 427.159i −0.660464 + 0.0941810i
\(275\) −2690.52 979.268i −0.589979 0.214735i
\(276\) −2962.98 1556.03i −0.646197 0.339356i
\(277\) −448.634 + 2544.33i −0.0973134 + 0.551892i 0.896700 + 0.442638i \(0.145957\pi\)
−0.994014 + 0.109254i \(0.965154\pi\)
\(278\) 6837.98 + 4253.69i 1.47523 + 0.917695i
\(279\) 1419.83 + 6609.09i 0.304670 + 1.41819i
\(280\) 1028.84 + 2273.68i 0.219589 + 0.485280i
\(281\) −2233.54 6136.59i −0.474170 1.30277i −0.914373 0.404872i \(-0.867316\pi\)
0.440204 0.897898i \(-0.354906\pi\)
\(282\) −6879.48 701.480i −1.45272 0.148130i
\(283\) 2267.99 + 2702.89i 0.476390 + 0.567739i 0.949702 0.313156i \(-0.101386\pi\)
−0.473312 + 0.880895i \(0.656942\pi\)
\(284\) −1879.21 + 1376.94i −0.392643 + 0.287699i
\(285\) −1102.69 75.9032i −0.229184 0.0157759i
\(286\) 5679.03 1857.90i 1.17415 0.384126i
\(287\) 354.935 + 614.766i 0.0730006 + 0.126441i
\(288\) −2241.48 + 4343.23i −0.458612 + 0.888636i
\(289\) −2143.51 + 3712.67i −0.436294 + 0.755684i
\(290\) 713.497 3390.35i 0.144476 0.686511i
\(291\) 3206.08 + 1423.27i 0.645856 + 0.286713i
\(292\) 4425.76 + 1949.12i 0.886980 + 0.390629i
\(293\) −6695.19 + 1180.54i −1.33494 + 0.235386i −0.795149 0.606414i \(-0.792608\pi\)
−0.539790 + 0.841800i \(0.681496\pi\)
\(294\) −837.079 + 2953.81i −0.166052 + 0.585952i
\(295\) −1167.88 + 1391.82i −0.230497 + 0.274695i
\(296\) 3164.06 + 313.210i 0.621309 + 0.0615033i
\(297\) −1449.73 + 3622.15i −0.283238 + 0.707672i
\(298\) −8.07393 + 245.398i −0.00156950 + 0.0477031i
\(299\) −4685.15 3931.31i −0.906184 0.760379i
\(300\) 4181.79 911.273i 0.804786 0.175375i
\(301\) 489.527 + 2776.25i 0.0937405 + 0.531629i
\(302\) 1666.52 4148.86i 0.317541 0.790530i
\(303\) −1384.32 1901.00i −0.262465 0.360428i
\(304\) 2764.97 + 873.793i 0.521651 + 0.164853i
\(305\) −1013.80 585.318i −0.190328 0.109886i
\(306\) 323.897 1883.02i 0.0605097 0.351782i
\(307\) −518.405 + 299.302i −0.0963745 + 0.0556418i −0.547413 0.836863i \(-0.684387\pi\)
0.451038 + 0.892505i \(0.351054\pi\)
\(308\) −1460.85 5018.10i −0.270259 0.928354i
\(309\) −5911.13 + 2891.01i −1.08826 + 0.532245i
\(310\) 2615.66 2052.09i 0.479225 0.375971i
\(311\) −5591.99 + 4692.24i −1.01959 + 0.855539i −0.989576 0.144011i \(-0.954000\pi\)
−0.0300151 + 0.999549i \(0.509556\pi\)
\(312\) −5692.27 + 6882.97i −1.03289 + 1.24895i
\(313\) 560.754 204.098i 0.101264 0.0368572i −0.290891 0.956756i \(-0.593952\pi\)
0.392155 + 0.919899i \(0.371730\pi\)
\(314\) 1608.81 + 3011.06i 0.289141 + 0.541159i
\(315\) −2632.35 1392.31i −0.470844 0.249041i
\(316\) 838.792 + 560.862i 0.149322 + 0.0998448i
\(317\) 10474.7 + 1846.97i 1.85589 + 0.327243i 0.986095 0.166180i \(-0.0531432\pi\)
0.869790 + 0.493423i \(0.164254\pi\)
\(318\) 9680.17 707.103i 1.70703 0.124693i
\(319\) −2481.60 + 6818.14i −0.435558 + 1.19669i
\(320\) 2403.10 + 54.8096i 0.419805 + 0.00957484i
\(321\) 4386.52 + 4226.81i 0.762716 + 0.734946i
\(322\) −3571.55 + 3982.73i −0.618119 + 0.689282i
\(323\) −1133.60 −0.195279
\(324\) −1060.82 5734.71i −0.181896 0.983318i
\(325\) 7821.45 1.33494
\(326\) −3076.28 + 3430.45i −0.522637 + 0.582807i
\(327\) 4297.39 + 4140.92i 0.726746 + 0.700286i
\(328\) 681.765 51.8212i 0.114769 0.00872362i
\(329\) −3780.55 + 10387.0i −0.633521 + 1.74058i
\(330\) 1913.69 139.789i 0.319228 0.0233185i
\(331\) −2465.10 434.664i −0.409348 0.0721791i −0.0348175 0.999394i \(-0.511085\pi\)
−0.374531 + 0.927215i \(0.622196\pi\)
\(332\) −3924.09 + 5868.63i −0.648681 + 0.970129i
\(333\) −3213.07 + 2017.48i −0.528755 + 0.332003i
\(334\) 1427.01 + 2670.80i 0.233780 + 0.437544i
\(335\) 2706.25 984.994i 0.441368 0.160645i
\(336\) 5853.44 + 5174.22i 0.950391 + 0.840109i
\(337\) 734.334 616.179i 0.118699 0.0996006i −0.581506 0.813542i \(-0.697536\pi\)
0.700205 + 0.713942i \(0.253092\pi\)
\(338\) −7953.10 + 6239.52i −1.27986 + 1.00410i
\(339\) 7674.16 3753.27i 1.22951 0.601326i
\(340\) −902.233 + 262.655i −0.143913 + 0.0418955i
\(341\) −6029.64 + 3481.22i −0.957547 + 0.552840i
\(342\) −3246.45 + 1197.04i −0.513298 + 0.189265i
\(343\) −2728.36 1575.22i −0.429497 0.247970i
\(344\) 2614.57 + 732.622i 0.409791 + 0.114827i
\(345\) −1156.14 1587.66i −0.180419 0.247759i
\(346\) 4125.75 10271.2i 0.641046 1.59590i
\(347\) −236.541 1341.49i −0.0365941 0.207536i 0.961028 0.276449i \(-0.0891578\pi\)
−0.997623 + 0.0689137i \(0.978047\pi\)
\(348\) −2309.29 10597.2i −0.355721 1.63239i
\(349\) −2283.97 1916.48i −0.350309 0.293944i 0.450605 0.892723i \(-0.351208\pi\)
−0.800914 + 0.598779i \(0.795653\pi\)
\(350\) 224.966 6837.59i 0.0343570 1.04424i
\(351\) 337.225 10652.5i 0.0512813 1.61991i
\(352\) −4966.06 824.097i −0.751965 0.124786i
\(353\) −704.690 + 839.817i −0.106252 + 0.126626i −0.816549 0.577275i \(-0.804116\pi\)
0.710298 + 0.703901i \(0.248560\pi\)
\(354\) −1550.78 + 5472.28i −0.232834 + 0.821605i
\(355\) −1346.40 + 237.406i −0.201294 + 0.0354935i
\(356\) 21.2520 48.2557i 0.00316391 0.00718412i
\(357\) −2791.44 1239.20i −0.413834 0.183712i
\(358\) −1040.10 + 4942.30i −0.153551 + 0.729634i
\(359\) −1033.88 + 1790.73i −0.151995 + 0.263263i −0.931961 0.362559i \(-0.881903\pi\)
0.779966 + 0.625822i \(0.215236\pi\)
\(360\) −2306.50 + 1704.93i −0.337676 + 0.249605i
\(361\) −2403.06 4162.23i −0.350352 0.606827i
\(362\) −12363.8 + 4044.84i −1.79511 + 0.587271i
\(363\) 2890.84 + 198.991i 0.417988 + 0.0287722i
\(364\) 8438.42 + 11516.5i 1.21509 + 1.65832i
\(365\) 1824.21 + 2174.01i 0.261599 + 0.311761i
\(366\) −3645.75 371.747i −0.520674 0.0530916i
\(367\) 964.866 + 2650.95i 0.137236 + 0.377052i 0.989205 0.146540i \(-0.0468137\pi\)
−0.851969 + 0.523592i \(0.824591\pi\)
\(368\) 1968.68 + 4761.68i 0.278871 + 0.674510i
\(369\) −605.112 + 547.232i −0.0853683 + 0.0772026i
\(370\) 1584.36 + 985.582i 0.222614 + 0.138481i
\(371\) 2694.08 15278.9i 0.377007 2.13811i
\(372\) 4838.91 9214.20i 0.674425 1.28423i
\(373\) −4059.25 1477.45i −0.563485 0.205092i 0.0445428 0.999007i \(-0.485817\pi\)
−0.608028 + 0.793916i \(0.708039\pi\)
\(374\) 1948.22 277.813i 0.269358 0.0384100i
\(375\) 5397.29 + 1339.47i 0.743239 + 0.184453i
\(376\) 7441.93 + 7613.60i 1.02071 + 1.04426i
\(377\) 19820.6i 2.70773i
\(378\) −9302.81 601.200i −1.26583 0.0818052i
\(379\) 6412.10i 0.869044i 0.900661 + 0.434522i \(0.143083\pi\)
−0.900661 + 0.434522i \(0.856917\pi\)
\(380\) 1228.87 + 1177.16i 0.165894 + 0.158913i
\(381\) −2810.85 9762.54i −0.377964 1.31273i
\(382\) −746.440 5234.56i −0.0999770 0.701109i
\(383\) 4685.33 + 1705.32i 0.625089 + 0.227514i 0.635092 0.772436i \(-0.280962\pi\)
−0.0100035 + 0.999950i \(0.503184\pi\)
\(384\) 6933.23 2924.62i 0.921380 0.388662i
\(385\) 532.598 3020.51i 0.0705032 0.399843i
\(386\) 6615.83 10635.2i 0.872375 1.40238i
\(387\) −3001.41 + 1220.24i −0.394238 + 0.160280i
\(388\) −2387.04 4844.45i −0.312328 0.633865i
\(389\) 2952.40 + 8111.65i 0.384814 + 1.05727i 0.969304 + 0.245866i \(0.0790725\pi\)
−0.584490 + 0.811401i \(0.698705\pi\)
\(390\) −4781.81 + 2146.81i −0.620862 + 0.278738i
\(391\) −1294.77 1543.05i −0.167466 0.199578i
\(392\) 3902.61 2666.84i 0.502835 0.343612i
\(393\) 3362.15 4996.30i 0.431547 0.641297i
\(394\) −885.417 2706.45i −0.113215 0.346063i
\(395\) 296.073 + 512.813i 0.0377140 + 0.0653226i
\(396\) 5286.03 2852.87i 0.670791 0.362025i
\(397\) 1883.02 3261.49i 0.238051 0.412316i −0.722104 0.691785i \(-0.756825\pi\)
0.960155 + 0.279468i \(0.0901581\pi\)
\(398\) 4193.56 + 882.532i 0.528151 + 0.111149i
\(399\) 584.108 + 5499.92i 0.0732882 + 0.690076i
\(400\) −5842.85 3046.48i −0.730356 0.380810i
\(401\) 412.630 72.7578i 0.0513859 0.00906073i −0.147896 0.989003i \(-0.547250\pi\)
0.199282 + 0.979942i \(0.436139\pi\)
\(402\) 6465.80 6282.85i 0.802200 0.779502i
\(403\) 12225.5 14569.8i 1.51115 1.80092i
\(404\) −237.985 + 3612.74i −0.0293074 + 0.444902i
\(405\) 929.057 3293.98i 0.113988 0.404146i
\(406\) −17327.4 570.095i −2.11809 0.0696880i
\(407\) −2993.42 2511.78i −0.364566 0.305907i
\(408\) −2239.90 + 1906.91i −0.271793 + 0.231388i
\(409\) 821.014 + 4656.20i 0.0992580 + 0.562920i 0.993359 + 0.115055i \(0.0367044\pi\)
−0.894101 + 0.447865i \(0.852184\pi\)
\(410\) 372.331 + 149.559i 0.0448491 + 0.0180151i
\(411\) −5527.74 + 587.063i −0.663414 + 0.0704566i
\(412\) 9839.80 + 2411.22i 1.17663 + 0.288330i
\(413\) 7873.62 + 4545.84i 0.938101 + 0.541613i
\(414\) −5337.42 3051.81i −0.633623 0.362291i
\(415\) −3587.91 + 2071.48i −0.424394 + 0.245024i
\(416\) 13517.7 2524.37i 1.59318 0.297518i
\(417\) 12274.1 + 8259.60i 1.44140 + 0.969962i
\(418\) −2199.75 2803.87i −0.257400 0.328090i
\(419\) −8071.46 + 6772.76i −0.941090 + 0.789668i −0.977775 0.209659i \(-0.932765\pi\)
0.0366846 + 0.999327i \(0.488320\pi\)
\(420\) 1739.22 + 4242.06i 0.202061 + 0.492836i
\(421\) −11699.3 + 4258.20i −1.35437 + 0.492950i −0.914309 0.405018i \(-0.867265\pi\)
−0.440061 + 0.897968i \(0.645043\pi\)
\(422\) −13607.0 + 7270.19i −1.56961 + 0.838643i
\(423\) −12584.1 1740.70i −1.44648 0.200084i
\(424\) −12142.3 8710.14i −1.39076 0.997646i
\(425\) 2536.85 + 447.314i 0.289541 + 0.0510540i
\(426\) −3540.75 + 2404.29i −0.402699 + 0.273446i
\(427\) −2003.49 + 5504.54i −0.227062 + 0.623848i
\(428\) −1017.95 9323.21i −0.114964 1.05293i
\(429\) 10548.6 3037.18i 1.18716 0.341810i
\(430\) 1186.31 + 1063.84i 0.133044 + 0.119309i
\(431\) 11848.3 1.32416 0.662080 0.749433i \(-0.269674\pi\)
0.662080 + 0.749433i \(0.269674\pi\)
\(432\) −4401.10 + 7826.36i −0.490157 + 0.871634i
\(433\) 3844.38 0.426672 0.213336 0.976979i \(-0.431567\pi\)
0.213336 + 0.976979i \(0.431567\pi\)
\(434\) −12385.4 11106.7i −1.36986 1.22843i
\(435\) 1533.10 6177.51i 0.168980 0.680894i
\(436\) −997.268 9133.77i −0.109542 1.00328i
\(437\) −1247.61 + 3427.79i −0.136571 + 0.375225i
\(438\) 7997.13 + 3869.78i 0.872414 + 0.422158i
\(439\) −8746.20 1542.19i −0.950873 0.167665i −0.323365 0.946274i \(-0.604814\pi\)
−0.627508 + 0.778610i \(0.715925\pi\)
\(440\) −2400.44 1721.92i −0.260083 0.186567i
\(441\) −1731.25 + 5367.92i −0.186940 + 0.579626i
\(442\) −4741.48 + 2533.37i −0.510247 + 0.272625i
\(443\) 571.685 208.076i 0.0613128 0.0223160i −0.311182 0.950350i \(-0.600725\pi\)
0.372494 + 0.928034i \(0.378503\pi\)
\(444\) 5788.41 + 783.302i 0.618707 + 0.0837249i
\(445\) 23.7040 19.8900i 0.00252512 0.00211883i
\(446\) 6672.44 + 8504.92i 0.708406 + 0.902958i
\(447\) −30.9760 + 450.004i −0.00327766 + 0.0476163i
\(448\) −1818.02 11890.0i −0.191727 1.25390i
\(449\) −2169.91 + 1252.80i −0.228072 + 0.131677i −0.609682 0.792646i \(-0.708703\pi\)
0.381610 + 0.924323i \(0.375370\pi\)
\(450\) 7737.49 1397.79i 0.810552 0.146427i
\(451\) −727.724 420.152i −0.0759805 0.0438673i
\(452\) −12774.6 3130.37i −1.32935 0.325753i
\(453\) 3332.72 7507.35i 0.345662 0.778645i
\(454\) 4209.75 + 1690.98i 0.435184 + 0.174805i
\(455\) 1454.91 + 8251.22i 0.149906 + 0.850160i
\(456\) 5018.80 + 1786.23i 0.515410 + 0.183438i
\(457\) 3295.14 + 2764.95i 0.337287 + 0.283017i 0.795661 0.605742i \(-0.207124\pi\)
−0.458374 + 0.888759i \(0.651568\pi\)
\(458\) 15735.0 + 517.703i 1.60535 + 0.0528181i
\(459\) 718.601 3435.79i 0.0730750 0.349388i
\(460\) −198.758 + 3017.25i −0.0201460 + 0.305826i
\(461\) 1479.77 1763.53i 0.149501 0.178168i −0.686096 0.727511i \(-0.740677\pi\)
0.835597 + 0.549342i \(0.185122\pi\)
\(462\) −2351.73 9309.08i −0.236823 0.937441i
\(463\) 15404.0 2716.14i 1.54618 0.272634i 0.665522 0.746378i \(-0.268209\pi\)
0.880662 + 0.473744i \(0.157098\pi\)
\(464\) −7720.21 + 14806.6i −0.772417 + 1.48142i
\(465\) 4937.27 3595.34i 0.492388 0.358559i
\(466\) −4038.98 850.000i −0.401507 0.0844968i
\(467\) −535.987 + 928.357i −0.0531104 + 0.0919898i −0.891358 0.453299i \(-0.850247\pi\)
0.838248 + 0.545289i \(0.183580\pi\)
\(468\) −10903.7 + 12262.0i −1.07697 + 1.21114i
\(469\) −7205.52 12480.3i −0.709424 1.22876i
\(470\) 1942.69 + 5938.21i 0.190659 + 0.582785i
\(471\) 2755.48 + 5634.02i 0.269566 + 0.551172i
\(472\) 7230.03 4940.64i 0.705062 0.481803i
\(473\) −2145.02 2556.33i −0.208516 0.248500i
\(474\) 1503.05 + 1084.92i 0.145649 + 0.105131i
\(475\) −1595.50 4383.61i −0.154119 0.423439i
\(476\) 2078.32 + 4217.92i 0.200125 + 0.406151i
\(477\) 17818.7 661.023i 1.71041 0.0634510i
\(478\) −4358.55 + 7006.55i −0.417062 + 0.670444i
\(479\) −1598.67 + 9066.53i −0.152495 + 0.864844i 0.808545 + 0.588435i \(0.200256\pi\)
−0.961040 + 0.276409i \(0.910855\pi\)
\(480\) 4408.34 + 258.806i 0.419192 + 0.0246100i
\(481\) 10030.8 + 3650.92i 0.950864 + 0.346086i
\(482\) 2556.91 + 17930.9i 0.241627 + 1.69446i
\(483\) −6819.29 + 7076.96i −0.642419 + 0.666693i
\(484\) −3221.65 3086.09i −0.302559 0.289828i
\(485\) 3169.34i 0.296726i
\(486\) −1570.12 10598.4i −0.146547 0.989204i
\(487\) 13145.4i 1.22315i −0.791185 0.611577i \(-0.790535\pi\)
0.791185 0.611577i \(-0.209465\pi\)
\(488\) 3943.83 + 4034.80i 0.365837 + 0.374276i
\(489\) −5873.67 + 6095.60i −0.543183 + 0.563707i
\(490\) 2746.12 391.592i 0.253177 0.0361027i
\(491\) 8388.82 + 3053.28i 0.771043 + 0.280637i 0.697433 0.716650i \(-0.254326\pi\)
0.0736103 + 0.997287i \(0.476548\pi\)
\(492\) 1255.09 50.2650i 0.115008 0.00460593i
\(493\) 1133.56 6428.72i 0.103555 0.587292i
\(494\) 8266.38 + 5142.25i 0.752879 + 0.468342i
\(495\) 3522.62 130.679i 0.319859 0.0118658i
\(496\) −14807.8 + 6122.16i −1.34050 + 0.554220i
\(497\) 2339.84 + 6428.67i 0.211180 + 0.580211i
\(498\) −7590.67 + 10516.1i −0.683024 + 0.946264i
\(499\) 1240.59 + 1478.47i 0.111295 + 0.132636i 0.818816 0.574056i \(-0.194631\pi\)
−0.707521 + 0.706693i \(0.750186\pi\)
\(500\) −5060.37 6906.23i −0.452613 0.617712i
\(501\) 2444.10 + 4997.36i 0.217953 + 0.445640i
\(502\) −15567.4 + 5092.91i −1.38408 + 0.452804i
\(503\) −83.9588 145.421i −0.00744242 0.0128906i 0.862280 0.506431i \(-0.169036\pi\)
−0.869723 + 0.493541i \(0.835702\pi\)
\(504\) 10406.0 + 9884.83i 0.919680 + 0.873621i
\(505\) −1062.36 + 1840.06i −0.0936127 + 0.162142i
\(506\) 1304.11 6196.79i 0.114575 0.544429i
\(507\) −15012.1 + 10931.9i −1.31501 + 0.957597i
\(508\) −6304.08 + 14314.3i −0.550587 + 1.25019i
\(509\) −10537.0 + 1857.96i −0.917576 + 0.161793i −0.612442 0.790516i \(-0.709813\pi\)
−0.305134 + 0.952309i \(0.598701\pi\)
\(510\) −1673.73 + 422.831i −0.145322 + 0.0367123i
\(511\) 9128.26 10878.6i 0.790236 0.941766i
\(512\) −11081.4 3379.43i −0.956509 0.291702i
\(513\) −6039.08 + 1984.01i −0.519750 + 0.170752i
\(514\) −156.439 + 4754.78i −0.0134245 + 0.408024i
\(515\) 4554.37 + 3821.57i 0.389688 + 0.326987i
\(516\) 4751.96 + 1517.15i 0.405413 + 0.129435i
\(517\) −2272.12 12885.8i −0.193283 1.09616i
\(518\) 3480.18 8664.03i 0.295194 0.734895i
\(519\) 8250.70 18585.7i 0.697814 1.57191i
\(520\) 7770.69 + 2177.41i 0.655322 + 0.183626i
\(521\) 6828.85 + 3942.64i 0.574237 + 0.331536i 0.758840 0.651277i \(-0.225767\pi\)
−0.184603 + 0.982813i \(0.559100\pi\)
\(522\) −3542.18 19607.9i −0.297006 1.64409i
\(523\) −12114.9 + 6994.55i −1.01290 + 0.584800i −0.912040 0.410101i \(-0.865494\pi\)
−0.100863 + 0.994900i \(0.532160\pi\)
\(524\) −8902.25 + 2591.59i −0.742169 + 0.216058i
\(525\) 863.092 12538.6i 0.0717493 1.04234i
\(526\) 1003.31 787.140i 0.0831685 0.0652489i
\(527\) 4798.52 4026.44i 0.396636 0.332817i
\(528\) −9063.12 1839.87i −0.747011 0.151648i
\(529\) 5342.37 1944.47i 0.439087 0.159815i
\(530\) −4132.61 7734.64i −0.338697 0.633908i
\(531\) −3207.34 + 9944.68i −0.262122 + 0.812735i
\(532\) 4733.18 7078.65i 0.385732 0.576877i
\(533\) 2260.61 + 398.606i 0.183710 + 0.0323931i
\(534\) 42.1936 87.1956i 0.00341928 0.00706615i
\(535\) 1882.42 5171.90i 0.152120 0.417945i
\(536\) −13840.5 + 1052.02i −1.11533 + 0.0847767i
\(537\) −2234.88 + 9005.30i −0.179595 + 0.723664i
\(538\) −11300.8 + 12601.9i −0.905600 + 1.00986i
\(539\) −5809.19 −0.464229
\(540\) −4346.82 + 2978.33i −0.346402 + 0.237346i
\(541\) −10309.1 −0.819267 −0.409633 0.912250i \(-0.634343\pi\)
−0.409633 + 0.912250i \(0.634343\pi\)
\(542\) 5197.89 5796.31i 0.411934 0.459359i
\(543\) −22965.5 + 6612.26i −1.81499 + 0.522577i
\(544\) 4528.78 45.6769i 0.356930 0.00359996i
\(545\) 1844.17 5066.81i 0.144946 0.398235i
\(546\) 14734.4 + 21699.0i 1.15490 + 1.70079i
\(547\) −7135.71 1258.22i −0.557771 0.0983502i −0.112346 0.993669i \(-0.535836\pi\)
−0.445426 + 0.895319i \(0.646948\pi\)
\(548\) 7114.46 + 4757.12i 0.554589 + 0.370828i
\(549\) −6668.91 922.477i −0.518437 0.0717129i
\(550\) 3816.35 + 7142.71i 0.295872 + 0.553757i
\(551\) −11108.7 + 4043.22i −0.858884 + 0.312608i
\(552\) 3300.95 + 8871.73i 0.254525 + 0.684069i
\(553\) 2269.84 1904.63i 0.174545 0.146461i
\(554\) 5749.28 4510.53i 0.440909 0.345910i
\(555\) 2843.92 + 1913.75i 0.217509 + 0.146368i
\(556\) −6366.61 21869.6i −0.485619 1.66813i
\(557\) −21636.8 + 12492.0i −1.64593 + 0.950276i −0.667260 + 0.744825i \(0.732533\pi\)
−0.978667 + 0.205451i \(0.934134\pi\)
\(558\) 9490.45 16598.2i 0.720005 1.25924i
\(559\) 7894.62 + 4557.96i 0.597329 + 0.344868i
\(560\) 2127.02 6730.59i 0.160505 0.507892i
\(561\) 3595.09 381.810i 0.270561 0.0287345i
\(562\) −6884.74 + 17139.8i −0.516753 + 1.28647i
\(563\) 1144.15 + 6488.80i 0.0856486 + 0.485737i 0.997215 + 0.0745839i \(0.0237629\pi\)
−0.911566 + 0.411153i \(0.865126\pi\)
\(564\) 13161.8 + 14468.0i 0.982643 + 1.08016i
\(565\) −5912.74 4961.37i −0.440267 0.369428i
\(566\) 328.169 9974.35i 0.0243710 0.740730i
\(567\) −17039.8 1716.10i −1.26209 0.127107i
\(568\) 6557.28 + 649.105i 0.484397 + 0.0479504i
\(569\) 6885.40 8205.70i 0.507295 0.604571i −0.450233 0.892911i \(-0.648659\pi\)
0.957528 + 0.288340i \(0.0931034\pi\)
\(570\) 2178.64 + 2242.08i 0.160094 + 0.164755i
\(571\) 19319.2 3406.49i 1.41591 0.249663i 0.587243 0.809410i \(-0.300213\pi\)
0.828663 + 0.559748i \(0.189102\pi\)
\(572\) −15466.9 6811.69i −1.13060 0.497921i
\(573\) −1025.86 9659.46i −0.0747925 0.704241i
\(574\) 413.486 1964.78i 0.0300672 0.142872i
\(575\) 4144.59 7178.63i 0.300593 0.520643i
\(576\) 12921.5 4913.05i 0.934714 0.355400i
\(577\) 10784.6 + 18679.5i 0.778108 + 1.34772i 0.933031 + 0.359796i \(0.117154\pi\)
−0.154923 + 0.987927i \(0.549513\pi\)
\(578\) 11524.5 3770.25i 0.829335 0.271318i
\(579\) 12846.3 19090.1i 0.922061 1.37022i
\(580\) −7904.59 + 5791.88i −0.565897 + 0.414646i
\(581\) 13325.8 + 15881.0i 0.951542 + 1.13400i
\(582\) −4063.58 9051.23i −0.289417 0.644649i
\(583\) 6281.29 + 17257.7i 0.446217 + 1.22597i
\(584\) −5638.91 12461.7i −0.399555 0.882995i
\(585\) −8920.41 + 3626.65i −0.630451 + 0.256314i
\(586\) 16327.6 + 10156.9i 1.15100 + 0.716003i
\(587\) −2657.67 + 15072.4i −0.186872 + 1.05980i 0.736656 + 0.676268i \(0.236404\pi\)
−0.923527 + 0.383533i \(0.874707\pi\)
\(588\) 7340.49 4639.28i 0.514824 0.325375i
\(589\) −10659.6 3879.79i −0.745709 0.271416i
\(590\) 5087.50 725.469i 0.354998 0.0506222i
\(591\) −1447.43 5027.15i −0.100743 0.349897i
\(592\) −6071.26 6634.38i −0.421499 0.460594i
\(593\) 7593.21i 0.525828i −0.964819 0.262914i \(-0.915317\pi\)
0.964819 0.262914i \(-0.0846835\pi\)
\(594\) 9892.61 4889.74i 0.683331 0.337759i
\(595\) 2759.45i 0.190128i
\(596\) 480.398 501.499i 0.0330165 0.0344668i
\(597\) 7641.03 + 1896.30i 0.523830 + 0.130001i
\(598\) 2442.07 + 17125.5i 0.166996 + 1.17109i
\(599\) −17945.1 6531.47i −1.22407 0.445523i −0.352504 0.935810i \(-0.614670\pi\)
−0.871561 + 0.490287i \(0.836892\pi\)
\(600\) −10526.6 5977.74i −0.716243 0.406734i
\(601\) −1757.71 + 9968.48i −0.119299 + 0.676577i 0.865233 + 0.501370i \(0.167171\pi\)
−0.984532 + 0.175207i \(0.943941\pi\)
\(602\) 4211.69 6770.46i 0.285142 0.458378i
\(603\) 12284.4 11109.3i 0.829614 0.750260i
\(604\) −11343.7 + 5589.47i −0.764189 + 0.376544i
\(605\) −895.438 2460.20i −0.0601731 0.165324i
\(606\) −674.726 + 6617.09i −0.0452291 + 0.443566i
\(607\) −308.305 367.424i −0.0206157 0.0245688i 0.755638 0.654989i \(-0.227327\pi\)
−0.776254 + 0.630421i \(0.782882\pi\)
\(608\) −4172.30 7061.20i −0.278304 0.471002i
\(609\) −31774.5 2187.19i −2.11423 0.145533i
\(610\) 1029.52 + 3146.93i 0.0683347 + 0.208878i
\(611\) 17871.8 + 30954.8i 1.18333 + 2.04959i
\(612\) −4237.84 + 3353.53i −0.279909 + 0.221501i
\(613\) −3790.94 + 6566.10i −0.249779 + 0.432630i −0.963464 0.267836i \(-0.913691\pi\)
0.713685 + 0.700466i \(0.247025\pi\)
\(614\) 1656.81 + 348.675i 0.108898 + 0.0229176i
\(615\) 673.733 + 299.088i 0.0441748 + 0.0196104i
\(616\) −6399.72 + 13325.4i −0.418591 + 0.871586i
\(617\) 16152.3 2848.09i 1.05392 0.185834i 0.380262 0.924879i \(-0.375834\pi\)
0.673656 + 0.739045i \(0.264723\pi\)
\(618\) 17906.5 + 5074.52i 1.16555 + 0.330303i
\(619\) 9975.90 11888.8i 0.647763 0.771974i −0.337812 0.941214i \(-0.609687\pi\)
0.985575 + 0.169240i \(0.0541312\pi\)
\(620\) −9382.97 618.094i −0.607789 0.0400375i
\(621\) −9598.30 5954.26i −0.620236 0.384760i
\(622\) 20635.9 + 678.948i 1.33026 + 0.0437674i
\(623\) −118.614 99.5288i −0.00762787 0.00640054i
\(624\) 24983.9 3744.81i 1.60281 0.240244i
\(625\) 1362.35 + 7726.25i 0.0871902 + 0.494480i
\(626\) −1566.21 629.119i −0.0999974 0.0401671i
\(627\) −3854.04 5292.53i −0.245479 0.337102i
\(628\) 2298.18 9378.51i 0.146031 0.595929i
\(629\) 3044.64 + 1757.83i 0.193001 + 0.111429i
\(630\) 2913.88 + 7902.63i 0.184273 + 0.499759i
\(631\) 20178.3 11650.0i 1.27304 0.734988i 0.297478 0.954729i \(-0.403855\pi\)
0.975558 + 0.219741i \(0.0705213\pi\)
\(632\) −707.181 2764.96i −0.0445097 0.174026i
\(633\) −25460.1 + 12452.0i −1.59865 + 0.781866i
\(634\) −18569.3 23669.0i −1.16322 1.48267i
\(635\) −7031.44 + 5900.08i −0.439424 + 0.368720i
\(636\) −21719.2 16790.5i −1.35412 1.04684i
\(637\) 14912.1 5427.56i 0.927533 0.337594i
\(638\) 18100.6 9671.15i 1.12321 0.600132i
\(639\) −6658.85 + 4181.06i −0.412238 + 0.258842i
\(640\) −4956.82 4653.30i −0.306149 0.287403i
\(641\) −28376.9 5003.61i −1.74855 0.308316i −0.794342 0.607471i \(-0.792184\pi\)
−0.954205 + 0.299155i \(0.903295\pi\)
\(642\) −1255.22 17183.8i −0.0771645 1.05637i
\(643\) −471.892 + 1296.51i −0.0289419 + 0.0795171i −0.953322 0.301955i \(-0.902361\pi\)
0.924380 + 0.381472i \(0.124583\pi\)
\(644\) 15041.5 1642.31i 0.920371 0.100491i
\(645\) 2107.97 + 2031.22i 0.128684 + 0.123999i
\(646\) 2387.07 + 2140.62i 0.145384 + 0.130374i
\(647\) 4435.15 0.269496 0.134748 0.990880i \(-0.456978\pi\)
0.134748 + 0.990880i \(0.456978\pi\)
\(648\) −8595.29 + 14079.0i −0.521073 + 0.853512i
\(649\) −10762.2 −0.650929
\(650\) −16470.0 14769.6i −0.993854 0.891247i
\(651\) −22007.7 21206.5i −1.32496 1.27672i
\(652\) 12955.7 1414.57i 0.778199 0.0849675i
\(653\) 5071.82 13934.7i 0.303945 0.835081i −0.689860 0.723942i \(-0.742328\pi\)
0.993805 0.111138i \(-0.0354497\pi\)
\(654\) −1229.71 16834.7i −0.0735254 1.00656i
\(655\) −5358.47 944.843i −0.319653 0.0563635i
\(656\) −1533.48 1178.28i −0.0912687 0.0701284i
\(657\) 14427.5 + 7631.06i 0.856728 + 0.453145i
\(658\) 27575.0 14733.3i 1.63372 0.872895i
\(659\) 2593.14 943.825i 0.153284 0.0557909i −0.264239 0.964457i \(-0.585121\pi\)
0.417523 + 0.908666i \(0.362898\pi\)
\(660\) −4293.72 3319.35i −0.253231 0.195766i
\(661\) −13898.5 + 11662.2i −0.817833 + 0.686243i −0.952463 0.304653i \(-0.901460\pi\)
0.134631 + 0.990896i \(0.457015\pi\)
\(662\) 4370.08 + 5570.25i 0.256568 + 0.327030i
\(663\) −8871.81 + 4339.01i −0.519687 + 0.254168i
\(664\) 19345.1 4947.81i 1.13063 0.289175i
\(665\) 4327.69 2498.59i 0.252362 0.145701i
\(666\) 10575.6 + 1819.10i 0.615309 + 0.105839i
\(667\) −18191.6 10502.9i −1.05605 0.609709i
\(668\) 2038.48 8318.71i 0.118070 0.481827i
\(669\) 11690.4 + 16053.7i 0.675599 + 0.927760i
\(670\) −7558.68 3036.18i −0.435847 0.175072i
\(671\) −1204.10 6828.79i −0.0692753 0.392880i
\(672\) −2555.15 21948.9i −0.146677 1.25997i
\(673\) 15200.7 + 12754.9i 0.870647 + 0.730560i 0.964234 0.265051i \(-0.0853889\pi\)
−0.0935871 + 0.995611i \(0.529833\pi\)
\(674\) −2709.88 89.1585i −0.154867 0.00509534i
\(675\) 14297.5 2056.94i 0.815278 0.117292i
\(676\) 28529.6 + 1879.36i 1.62321 + 0.106927i
\(677\) −11565.2 + 13782.9i −0.656556 + 0.782453i −0.986887 0.161412i \(-0.948395\pi\)
0.330331 + 0.943865i \(0.392840\pi\)
\(678\) −23247.3 6588.03i −1.31682 0.373174i
\(679\) −15618.3 + 2753.92i −0.882731 + 0.155649i
\(680\) 2395.86 + 1150.64i 0.135113 + 0.0648899i
\(681\) 7617.53 + 3381.63i 0.428641 + 0.190285i
\(682\) 19270.6 + 4055.49i 1.08198 + 0.227702i
\(683\) −3054.65 + 5290.82i −0.171132 + 0.296409i −0.938816 0.344420i \(-0.888076\pi\)
0.767684 + 0.640829i \(0.221409\pi\)
\(684\) 9096.63 + 3609.75i 0.508506 + 0.201787i
\(685\) 2511.23 + 4349.58i 0.140072 + 0.242611i
\(686\) 2770.67 + 8469.08i 0.154205 + 0.471357i
\(687\) 28854.4 + 1986.19i 1.60242 + 0.110303i
\(688\) −4122.17 6479.91i −0.228425 0.359076i
\(689\) −32247.9 38431.6i −1.78309 2.12500i
\(690\) −563.511 + 5526.40i −0.0310906 + 0.304908i
\(691\) 10271.8 + 28221.6i 0.565498 + 1.55369i 0.811457 + 0.584412i \(0.198675\pi\)
−0.245960 + 0.969280i \(0.579103\pi\)
\(692\) −28083.3 + 13837.7i −1.54273 + 0.760158i
\(693\) −3704.88 17245.7i −0.203083 0.945324i
\(694\) −2035.10 + 3271.50i −0.111313 + 0.178940i
\(695\) 2321.14 13163.8i 0.126685 0.718465i
\(696\) −15148.4 + 26675.8i −0.824999 + 1.45279i
\(697\) 710.419 + 258.571i 0.0386069 + 0.0140518i
\(698\) 1190.49 + 8348.52i 0.0645566 + 0.452716i
\(699\) −7359.37 1826.40i −0.398222 0.0988282i
\(700\) −13385.4 + 13973.4i −0.722746 + 0.754493i
\(701\) 25085.8i 1.35161i 0.737080 + 0.675805i \(0.236204\pi\)
−0.737080 + 0.675805i \(0.763796\pi\)
\(702\) −20825.7 + 21794.6i −1.11968 + 1.17177i
\(703\) 6366.62i 0.341567i
\(704\) 8901.07 + 11113.0i 0.476522 + 0.594936i
\(705\) 3175.79 + 11030.1i 0.169656 + 0.589242i
\(706\) 3069.76 437.743i 0.163643 0.0233352i
\(707\) 9990.81 + 3636.36i 0.531461 + 0.193436i
\(708\) 13599.1 8594.80i 0.721872 0.456232i
\(709\) −1142.02 + 6476.69i −0.0604927 + 0.343071i 0.939507 + 0.342529i \(0.111284\pi\)
−1.00000 0.000541767i \(0.999828\pi\)
\(710\) 3283.47 + 2042.54i 0.173558 + 0.107965i
\(711\) 2688.10 + 2090.78i 0.141788 + 0.110282i
\(712\) −135.875 + 61.4832i −0.00715185 + 0.00323621i
\(713\) −6894.04 18941.2i −0.362109 0.994887i
\(714\) 3538.03 + 7880.63i 0.185445 + 0.413061i
\(715\) −6375.16 7597.62i −0.333451 0.397391i
\(716\) 11523.0 8443.16i 0.601443 0.440692i
\(717\) −8463.22 + 12576.7i −0.440816 + 0.655071i
\(718\) 5558.60 1818.50i 0.288921 0.0945209i
\(719\) −16019.1 27745.9i −0.830892 1.43915i −0.897332 0.441357i \(-0.854497\pi\)
0.0664396 0.997790i \(1.52116\pi\)
\(720\) 8076.40 + 765.319i 0.418041 + 0.0396136i
\(721\) 14875.0 25764.3i 0.768342 1.33081i
\(722\) −2799.48 + 13302.4i −0.144302 + 0.685684i
\(723\) 3514.08 + 33088.3i 0.180761 + 1.70203i
\(724\) 33673.1 + 14829.8i 1.72852 + 0.761248i
\(725\) 26455.2 4664.76i 1.35520 0.238958i
\(726\) −5711.61 5877.92i −0.291980 0.300482i
\(727\) 4900.10 5839.71i 0.249979 0.297913i −0.626433 0.779475i \(-0.715486\pi\)
0.876412 + 0.481562i \(0.159930\pi\)
\(728\) 3977.95 40185.4i 0.202517 2.04584i
\(729\) −2185.03 19561.3i −0.111011 0.993819i
\(730\) 263.956 8022.64i 0.0133828 0.406755i
\(731\) 2299.91 + 1929.85i 0.116368 + 0.0976445i
\(732\) 6975.04 + 7667.24i 0.352192 + 0.387144i
\(733\) 855.496 + 4851.76i 0.0431084 + 0.244480i 0.998746 0.0500652i \(-0.0159429\pi\)
−0.955638 + 0.294545i \(0.904832\pi\)
\(734\) 2974.14 7404.21i 0.149560 0.372336i
\(735\) 5067.48 538.182i 0.254308 0.0270083i
\(736\) 4846.15 13744.4i 0.242706 0.688351i
\(737\) 14773.5 + 8529.48i 0.738383 + 0.426306i
\(738\) 2307.57 9.67012i 0.115099 0.000482334i
\(739\) 19312.4 11150.0i 0.961326 0.555022i 0.0647448 0.997902i \(-0.479377\pi\)
0.896581 + 0.442880i \(0.146043\pi\)
\(740\) −1475.15 5067.20i −0.0732803 0.251722i
\(741\) 14838.1 + 9984.97i 0.735615 + 0.495016i
\(742\) −34524.8 + 27086.1i −1.70815 + 1.34011i
\(743\) 9290.37 7795.54i 0.458722 0.384914i −0.383938 0.923359i \(-0.625433\pi\)
0.842661 + 0.538445i \(0.180988\pi\)
\(744\) −27589.1 + 10265.2i −1.35950 + 0.505835i
\(745\) 382.968 139.389i 0.0188334 0.00685478i
\(746\) 5757.81 + 10776.4i 0.282585 + 0.528889i
\(747\) −14628.2 + 18807.3i −0.716489 + 0.921185i
\(748\) −4627.05 3093.90i −0.226179 0.151236i
\(749\) −27122.5 4782.42i −1.32314 0.233306i
\(750\) −8835.93 13012.5i −0.430190 0.633533i
\(751\) 3232.49 8881.19i 0.157064 0.431530i −0.836054 0.548647i \(-0.815143\pi\)
0.993118 + 0.117117i \(0.0373653\pi\)
\(752\) −1293.71 30085.2i −0.0627351 1.45890i
\(753\) −28916.1 + 8325.57i −1.39942 + 0.402923i
\(754\) −37428.1 + 41737.2i −1.80776 + 2.01589i