Properties

Label 177.4.e.b.4.7
Level $177$
Weight $4$
Character 177.4
Analytic conductor $10.443$
Analytic rank $0$
Dimension $420$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 177 = 3 \cdot 59 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 177.e (of order \(29\), degree \(28\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(10.4433380710\)
Analytic rank: \(0\)
Dimension: \(420\)
Relative dimension: \(15\) over \(\Q(\zeta_{29})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{29}]$

Embedding invariants

Embedding label 4.7
Character \(\chi\) \(=\) 177.4
Dual form 177.4.e.b.133.7

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.488701 - 0.0531494i) q^{2} +(1.94216 - 2.28649i) q^{3} +(-7.57696 - 1.66782i) q^{4} +(-7.57411 - 5.75769i) q^{5} +(-1.07066 + 1.01418i) q^{6} +(-3.71388 + 9.32114i) q^{7} +(7.34103 + 2.47348i) q^{8} +(-1.45604 - 8.88144i) q^{9} +O(q^{10})\) \(q+(-0.488701 - 0.0531494i) q^{2} +(1.94216 - 2.28649i) q^{3} +(-7.57696 - 1.66782i) q^{4} +(-7.57411 - 5.75769i) q^{5} +(-1.07066 + 1.01418i) q^{6} +(-3.71388 + 9.32114i) q^{7} +(7.34103 + 2.47348i) q^{8} +(-1.45604 - 8.88144i) q^{9} +(3.39546 + 3.21635i) q^{10} +(4.97846 - 2.30328i) q^{11} +(-18.5291 + 14.0855i) q^{12} +(-6.56104 + 40.0206i) q^{13} +(2.31039 - 4.35786i) q^{14} +(-27.8750 + 6.13575i) q^{15} +(52.8742 + 24.4622i) q^{16} +(20.8605 + 52.3560i) q^{17} +(0.239524 + 4.41776i) q^{18} +(22.1537 + 32.6743i) q^{19} +(47.7859 + 56.2580i) q^{20} +(14.0997 + 26.5949i) q^{21} +(-2.55540 + 0.861014i) q^{22} +(-5.88001 + 108.450i) q^{23} +(19.9130 - 11.9813i) q^{24} +(-9.22491 - 33.2251i) q^{25} +(5.33346 - 19.2094i) q^{26} +(-23.1351 - 13.9200i) q^{27} +(43.6859 - 64.4319i) q^{28} +(84.0618 - 9.14228i) q^{29} +(13.9486 - 1.51701i) q^{30} +(-83.0912 + 122.550i) q^{31} +(-77.6409 - 46.7150i) q^{32} +(4.40254 - 15.8565i) q^{33} +(-7.41188 - 26.6952i) q^{34} +(81.7976 - 49.2160i) q^{35} +(-3.78026 + 69.7227i) q^{36} +(-176.052 + 59.3188i) q^{37} +(-9.08992 - 17.1454i) q^{38} +(78.7639 + 92.7280i) q^{39} +(-41.3602 - 61.0017i) q^{40} +(19.0132 + 350.678i) q^{41} +(-5.47704 - 13.7463i) q^{42} +(-224.356 - 103.798i) q^{43} +(-41.5631 + 9.14872i) q^{44} +(-40.1083 + 75.6524i) q^{45} +(8.63765 - 52.6873i) q^{46} +(67.3632 - 51.2082i) q^{47} +(158.623 - 73.3866i) q^{48} +(175.926 + 166.646i) q^{49} +(2.74233 + 16.7275i) q^{50} +(160.226 + 53.9863i) q^{51} +(116.460 - 292.292i) q^{52} +(-159.643 + 151.222i) q^{53} +(10.5663 + 8.03232i) q^{54} +(-50.9690 - 11.2191i) q^{55} +(-50.3194 + 59.2405i) q^{56} +(117.735 + 12.8045i) q^{57} -41.5670 q^{58} +(344.232 + 294.760i) q^{59} +221.441 q^{60} +(-638.671 - 69.4597i) q^{61} +(47.1203 - 55.4743i) q^{62} +(88.1927 + 19.4127i) q^{63} +(-335.575 - 255.097i) q^{64} +(280.120 - 265.344i) q^{65} +(-2.99429 + 7.51511i) q^{66} +(-443.833 - 149.545i) q^{67} +(-70.7393 - 431.491i) q^{68} +(236.551 + 224.073i) q^{69} +(-42.5904 + 19.7044i) q^{70} +(-39.3932 + 29.9459i) q^{71} +(11.2792 - 68.8003i) q^{72} +(-7.73527 + 14.5903i) q^{73} +(89.1895 - 19.6321i) q^{74} +(-93.8850 - 43.4358i) q^{75} +(-113.363 - 284.520i) q^{76} +(2.97980 + 54.9591i) q^{77} +(-33.5635 - 49.5025i) q^{78} +(-731.509 - 861.199i) q^{79} +(-259.629 - 489.712i) q^{80} +(-76.7599 + 25.8634i) q^{81} +(9.34656 - 172.387i) q^{82} +(167.129 - 100.558i) q^{83} +(-62.4776 - 225.024i) q^{84} +(143.449 - 516.658i) q^{85} +(104.126 + 62.6506i) q^{86} +(142.358 - 209.962i) q^{87} +(42.2441 - 4.59433i) q^{88} +(1204.03 - 130.946i) q^{89} +(23.6219 - 34.8397i) q^{90} +(-348.670 - 209.788i) q^{91} +(225.428 - 811.918i) q^{92} +(118.833 + 427.999i) q^{93} +(-35.6422 + 21.4452i) q^{94} +(20.3337 - 375.032i) q^{95} +(-257.604 + 86.7969i) q^{96} +(-87.8472 - 165.697i) q^{97} +(-77.1179 - 90.7903i) q^{98} +(-27.7053 - 40.8622i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 420q + 2q^{2} - 45q^{3} - 56q^{4} - 14q^{5} + 6q^{6} + 6q^{7} + 66q^{8} - 135q^{9} + O(q^{10}) \) \( 420q + 2q^{2} - 45q^{3} - 56q^{4} - 14q^{5} + 6q^{6} + 6q^{7} + 66q^{8} - 135q^{9} - 754q^{10} + 64q^{11} - 168q^{12} + 90q^{13} + 1024q^{14} - 42q^{15} - 172q^{16} + 96q^{17} + 18q^{18} + 16q^{19} - 178q^{20} - 243q^{21} - 604q^{22} + 48q^{23} + 198q^{24} - 173q^{25} + 156q^{26} - 405q^{27} + 84q^{28} - 50q^{29} + 174q^{30} + 222q^{31} - 45q^{32} + 192q^{33} - 64q^{34} - 132q^{35} - 504q^{36} + 30q^{37} - 108q^{38} + 270q^{39} + 6984q^{40} + 400q^{41} + 114q^{42} + 1220q^{43} + 1180q^{44} - 126q^{45} + 4938q^{46} + 370q^{47} - 516q^{48} + 771q^{49} + 1048q^{50} + 288q^{51} - 1964q^{52} - 822q^{53} + 54q^{54} - 2342q^{55} - 13824q^{56} + 48q^{57} - 13150q^{58} - 3423q^{59} - 534q^{60} - 2182q^{61} + 845q^{62} + 54q^{63} - 8018q^{64} + 4140q^{65} - 1812q^{66} + 506q^{67} + 4826q^{68} - 3684q^{69} + 6882q^{70} + 5874q^{71} + 594q^{72} + 206q^{73} + 11124q^{74} - 867q^{75} + 16940q^{76} + 9940q^{77} + 468q^{78} - 1762q^{79} - 28954q^{80} - 1215q^{81} + 3770q^{82} - 1216q^{83} - 8013q^{84} - 420q^{85} - 2256q^{86} + 5940q^{87} + 13458q^{88} - 1580q^{89} + 522q^{90} - 12204q^{91} + 4562q^{92} + 666q^{93} + 176q^{94} - 28456q^{95} + 2040q^{96} + 2574q^{97} + 50690q^{98} + 576q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{1}{29}\right)\) \(1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.488701 0.0531494i −0.172782 0.0187912i 0.0213190 0.999773i \(-0.493213\pi\)
−0.194101 + 0.980982i \(0.562179\pi\)
\(3\) 1.94216 2.28649i 0.373769 0.440034i
\(4\) −7.57696 1.66782i −0.947120 0.208477i
\(5\) −7.57411 5.75769i −0.677449 0.514983i 0.208938 0.977929i \(-0.432999\pi\)
−0.886387 + 0.462946i \(0.846792\pi\)
\(6\) −1.07066 + 1.01418i −0.0728492 + 0.0690065i
\(7\) −3.71388 + 9.32114i −0.200531 + 0.503294i −0.994509 0.104652i \(-0.966627\pi\)
0.793978 + 0.607946i \(0.208006\pi\)
\(8\) 7.34103 + 2.47348i 0.324431 + 0.109313i
\(9\) −1.45604 8.88144i −0.0539273 0.328942i
\(10\) 3.39546 + 3.21635i 0.107374 + 0.101710i
\(11\) 4.97846 2.30328i 0.136460 0.0631333i −0.350471 0.936574i \(-0.613978\pi\)
0.486931 + 0.873440i \(0.338116\pi\)
\(12\) −18.5291 + 14.0855i −0.445741 + 0.338843i
\(13\) −6.56104 + 40.0206i −0.139977 + 0.853823i 0.819715 + 0.572771i \(0.194132\pi\)
−0.959692 + 0.281052i \(0.909317\pi\)
\(14\) 2.31039 4.35786i 0.0441056 0.0831920i
\(15\) −27.8750 + 6.13575i −0.479819 + 0.105616i
\(16\) 52.8742 + 24.4622i 0.826159 + 0.382222i
\(17\) 20.8605 + 52.3560i 0.297613 + 0.746953i 0.999402 + 0.0345680i \(0.0110055\pi\)
−0.701789 + 0.712385i \(0.747615\pi\)
\(18\) 0.239524 + 4.41776i 0.00313646 + 0.0578486i
\(19\) 22.1537 + 32.6743i 0.267495 + 0.394526i 0.937586 0.347753i \(-0.113055\pi\)
−0.670091 + 0.742279i \(0.733745\pi\)
\(20\) 47.7859 + 56.2580i 0.534263 + 0.628983i
\(21\) 14.0997 + 26.5949i 0.146515 + 0.276356i
\(22\) −2.55540 + 0.861014i −0.0247642 + 0.00834404i
\(23\) −5.88001 + 108.450i −0.0533073 + 0.983195i 0.842484 + 0.538721i \(0.181092\pi\)
−0.895792 + 0.444474i \(0.853391\pi\)
\(24\) 19.9130 11.9813i 0.169364 0.101903i
\(25\) −9.22491 33.2251i −0.0737993 0.265801i
\(26\) 5.33346 19.2094i 0.0402299 0.144895i
\(27\) −23.1351 13.9200i −0.164902 0.0992184i
\(28\) 43.6859 64.4319i 0.294852 0.434874i
\(29\) 84.0618 9.14228i 0.538272 0.0585406i 0.165055 0.986284i \(-0.447220\pi\)
0.373218 + 0.927744i \(0.378254\pi\)
\(30\) 13.9486 1.51701i 0.0848888 0.00923221i
\(31\) −83.0912 + 122.550i −0.481407 + 0.710023i −0.988391 0.151933i \(-0.951450\pi\)
0.506983 + 0.861956i \(0.330761\pi\)
\(32\) −77.6409 46.7150i −0.428909 0.258066i
\(33\) 4.40254 15.8565i 0.0232238 0.0836445i
\(34\) −7.41188 26.6952i −0.0373861 0.134652i
\(35\) 81.7976 49.2160i 0.395037 0.237686i
\(36\) −3.78026 + 69.7227i −0.0175012 + 0.322790i
\(37\) −176.052 + 59.3188i −0.782236 + 0.263566i −0.681956 0.731393i \(-0.738871\pi\)
−0.100280 + 0.994959i \(0.531974\pi\)
\(38\) −9.08992 17.1454i −0.0388047 0.0731935i
\(39\) 78.7639 + 92.7280i 0.323393 + 0.380727i
\(40\) −41.3602 61.0017i −0.163490 0.241130i
\(41\) 19.0132 + 350.678i 0.0724234 + 1.33577i 0.778504 + 0.627640i \(0.215979\pi\)
−0.706080 + 0.708132i \(0.749538\pi\)
\(42\) −5.47704 13.7463i −0.0201220 0.0505025i
\(43\) −224.356 103.798i −0.795673 0.368118i −0.0204388 0.999791i \(-0.506506\pi\)
−0.775235 + 0.631673i \(0.782368\pi\)
\(44\) −41.5631 + 9.14872i −0.142406 + 0.0313460i
\(45\) −40.1083 + 75.6524i −0.132867 + 0.250613i
\(46\) 8.63765 52.6873i 0.0276859 0.168877i
\(47\) 67.3632 51.2082i 0.209062 0.158925i −0.495403 0.868663i \(-0.664980\pi\)
0.704466 + 0.709738i \(0.251187\pi\)
\(48\) 158.623 73.3866i 0.476983 0.220676i
\(49\) 175.926 + 166.646i 0.512903 + 0.485847i
\(50\) 2.74233 + 16.7275i 0.00775647 + 0.0473124i
\(51\) 160.226 + 53.9863i 0.439923 + 0.148227i
\(52\) 116.460 292.292i 0.310578 0.779491i
\(53\) −159.643 + 151.222i −0.413748 + 0.391923i −0.866063 0.499935i \(-0.833357\pi\)
0.452314 + 0.891859i \(0.350599\pi\)
\(54\) 10.5663 + 8.03232i 0.0266277 + 0.0202418i
\(55\) −50.9690 11.2191i −0.124957 0.0275052i
\(56\) −50.3194 + 59.2405i −0.120075 + 0.141363i
\(57\) 117.735 + 12.8045i 0.273586 + 0.0297543i
\(58\) −41.5670 −0.0941037
\(59\) 344.232 + 294.760i 0.759579 + 0.650416i
\(60\) 221.441 0.476465
\(61\) −638.671 69.4597i −1.34055 0.145793i −0.590426 0.807092i \(-0.701040\pi\)
−0.750123 + 0.661299i \(0.770006\pi\)
\(62\) 47.1203 55.4743i 0.0965206 0.113633i
\(63\) 88.1927 + 19.4127i 0.176369 + 0.0388217i
\(64\) −335.575 255.097i −0.655419 0.498237i
\(65\) 280.120 265.344i 0.534532 0.506336i
\(66\) −2.99429 + 7.51511i −0.00558442 + 0.0140158i
\(67\) −443.833 149.545i −0.809297 0.272684i −0.115919 0.993259i \(-0.536981\pi\)
−0.693377 + 0.720575i \(0.743878\pi\)
\(68\) −70.7393 431.491i −0.126153 0.769499i
\(69\) 236.551 + 224.073i 0.412715 + 0.390944i
\(70\) −42.5904 + 19.7044i −0.0727217 + 0.0336447i
\(71\) −39.3932 + 29.9459i −0.0658466 + 0.0500553i −0.637580 0.770384i \(-0.720064\pi\)
0.571733 + 0.820440i \(0.306271\pi\)
\(72\) 11.2792 68.8003i 0.0184621 0.112614i
\(73\) −7.73527 + 14.5903i −0.0124020 + 0.0233926i −0.889636 0.456671i \(-0.849042\pi\)
0.877234 + 0.480064i \(0.159386\pi\)
\(74\) 89.1895 19.6321i 0.140109 0.0308403i
\(75\) −93.8850 43.4358i −0.144545 0.0668738i
\(76\) −113.363 284.520i −0.171100 0.429430i
\(77\) 2.97980 + 54.9591i 0.00441012 + 0.0813399i
\(78\) −33.5635 49.5025i −0.0487221 0.0718597i
\(79\) −731.509 861.199i −1.04179 1.22649i −0.973468 0.228823i \(-0.926512\pi\)
−0.0683190 0.997664i \(-0.521764\pi\)
\(80\) −259.629 489.712i −0.362842 0.684393i
\(81\) −76.7599 + 25.8634i −0.105295 + 0.0354779i
\(82\) 9.34656 172.387i 0.0125872 0.232158i
\(83\) 167.129 100.558i 0.221022 0.132985i −0.400737 0.916193i \(-0.631246\pi\)
0.621759 + 0.783209i \(0.286418\pi\)
\(84\) −62.4776 225.024i −0.0811532 0.292287i
\(85\) 143.449 516.658i 0.183050 0.659288i
\(86\) 104.126 + 62.6506i 0.130561 + 0.0785557i
\(87\) 142.358 209.962i 0.175429 0.258739i
\(88\) 42.2441 4.59433i 0.0511732 0.00556542i
\(89\) 1204.03 130.946i 1.43401 0.155957i 0.642109 0.766613i \(-0.278060\pi\)
0.791896 + 0.610656i \(0.209094\pi\)
\(90\) 23.6219 34.8397i 0.0276663 0.0408047i
\(91\) −348.670 209.788i −0.401655 0.241668i
\(92\) 225.428 811.918i 0.255462 0.920090i
\(93\) 118.833 + 427.999i 0.132499 + 0.477220i
\(94\) −35.6422 + 21.4452i −0.0391086 + 0.0235309i
\(95\) 20.3337 375.032i 0.0219599 0.405026i
\(96\) −257.604 + 86.7969i −0.273871 + 0.0922778i
\(97\) −87.8472 165.697i −0.0919539 0.173443i 0.833269 0.552868i \(-0.186467\pi\)
−0.925223 + 0.379425i \(0.876122\pi\)
\(98\) −77.1179 90.7903i −0.0794907 0.0935837i
\(99\) −27.7053 40.8622i −0.0281261 0.0414829i
\(100\) 14.4834 + 267.131i 0.0144834 + 0.267131i
\(101\) 75.0201 + 188.286i 0.0739087 + 0.185497i 0.961290 0.275540i \(-0.0888568\pi\)
−0.887381 + 0.461037i \(0.847477\pi\)
\(102\) −75.4332 34.8991i −0.0732254 0.0338777i
\(103\) 333.149 73.3316i 0.318700 0.0701512i −0.0527394 0.998608i \(-0.516795\pi\)
0.371440 + 0.928457i \(0.378864\pi\)
\(104\) −147.155 + 277.563i −0.138747 + 0.261705i
\(105\) 46.3322 282.614i 0.0430625 0.262670i
\(106\) 86.0551 65.4174i 0.0788530 0.0599425i
\(107\) −835.199 + 386.404i −0.754596 + 0.349113i −0.759184 0.650876i \(-0.774402\pi\)
0.00458787 + 0.999989i \(0.498540\pi\)
\(108\) 152.078 + 144.056i 0.135497 + 0.128350i
\(109\) −39.0373 238.117i −0.0343036 0.209243i 0.964113 0.265492i \(-0.0855342\pi\)
−0.998417 + 0.0562489i \(0.982086\pi\)
\(110\) 24.3123 + 8.19177i 0.0210735 + 0.00710050i
\(111\) −206.289 + 517.747i −0.176397 + 0.442724i
\(112\) −424.384 + 401.998i −0.358040 + 0.339154i
\(113\) 919.408 + 698.916i 0.765404 + 0.581845i 0.913362 0.407149i \(-0.133477\pi\)
−0.147958 + 0.988994i \(0.547270\pi\)
\(114\) −56.8568 12.5151i −0.0467116 0.0102820i
\(115\) 668.959 787.560i 0.542442 0.638612i
\(116\) −652.181 70.9289i −0.522013 0.0567723i
\(117\) 364.993 0.288407
\(118\) −152.560 162.345i −0.119019 0.126653i
\(119\) −565.491 −0.435618
\(120\) −219.808 23.9055i −0.167213 0.0181855i
\(121\) −842.191 + 991.504i −0.632751 + 0.744932i
\(122\) 308.427 + 67.8900i 0.228883 + 0.0503809i
\(123\) 838.746 + 637.598i 0.614855 + 0.467401i
\(124\) 833.970 789.979i 0.603974 0.572114i
\(125\) −561.621 + 1409.56i −0.401863 + 1.00860i
\(126\) −42.0681 14.1744i −0.0297438 0.0100219i
\(127\) 196.006 + 1195.58i 0.136950 + 0.835360i 0.962550 + 0.271104i \(0.0873886\pi\)
−0.825600 + 0.564256i \(0.809163\pi\)
\(128\) 676.704 + 641.008i 0.467287 + 0.442638i
\(129\) −673.068 + 311.394i −0.459382 + 0.212533i
\(130\) −150.998 + 114.785i −0.101872 + 0.0774412i
\(131\) −111.108 + 677.728i −0.0741033 + 0.452010i 0.923546 + 0.383487i \(0.125277\pi\)
−0.997650 + 0.0685231i \(0.978171\pi\)
\(132\) −59.8037 + 112.802i −0.0394336 + 0.0743797i
\(133\) −386.838 + 85.1494i −0.252204 + 0.0555142i
\(134\) 208.954 + 96.6722i 0.134708 + 0.0623224i
\(135\) 95.0813 + 238.636i 0.0606170 + 0.152137i
\(136\) 23.6362 + 435.945i 0.0149029 + 0.274867i
\(137\) −1009.40 1488.76i −0.629483 0.928417i 0.370517 0.928826i \(-0.379180\pi\)
−1.00000 0.000408283i \(0.999870\pi\)
\(138\) −103.693 122.077i −0.0639634 0.0753035i
\(139\) 1045.34 + 1971.72i 0.637875 + 1.20316i 0.966004 + 0.258526i \(0.0832369\pi\)
−0.328130 + 0.944633i \(0.606418\pi\)
\(140\) −701.860 + 236.484i −0.423700 + 0.142761i
\(141\) 13.7433 253.480i 0.00820845 0.151396i
\(142\) 20.8431 12.5409i 0.0123177 0.00741131i
\(143\) 59.5148 + 214.353i 0.0348033 + 0.125350i
\(144\) 140.273 505.217i 0.0811763 0.292371i
\(145\) −689.332 414.757i −0.394799 0.237543i
\(146\) 4.55570 6.71916i 0.00258242 0.00380878i
\(147\) 722.709 78.5993i 0.405497 0.0441004i
\(148\) 1432.87 155.834i 0.795819 0.0865506i
\(149\) −1177.19 + 1736.22i −0.647242 + 0.954610i 0.352581 + 0.935781i \(0.385304\pi\)
−0.999823 + 0.0188290i \(0.994006\pi\)
\(150\) 43.5731 + 26.2171i 0.0237182 + 0.0142708i
\(151\) −383.033 + 1379.56i −0.206429 + 0.743490i 0.785737 + 0.618561i \(0.212284\pi\)
−0.992166 + 0.124929i \(0.960130\pi\)
\(152\) 81.8117 + 294.659i 0.0436566 + 0.157237i
\(153\) 434.623 261.504i 0.229655 0.138179i
\(154\) 1.46482 27.0169i 0.000766482 0.0141369i
\(155\) 1334.95 449.796i 0.691778 0.233087i
\(156\) −442.138 833.960i −0.226919 0.428014i
\(157\) 243.018 + 286.102i 0.123535 + 0.145436i 0.820452 0.571715i \(-0.193722\pi\)
−0.696918 + 0.717151i \(0.745446\pi\)
\(158\) 311.717 + 459.748i 0.156955 + 0.231491i
\(159\) 35.7147 + 658.719i 0.0178136 + 0.328552i
\(160\) 319.090 + 800.856i 0.157664 + 0.395708i
\(161\) −989.044 457.581i −0.484147 0.223990i
\(162\) 38.8873 8.55974i 0.0188597 0.00415134i
\(163\) 561.155 1058.45i 0.269651 0.508615i −0.711296 0.702893i \(-0.751891\pi\)
0.980947 + 0.194278i \(0.0622363\pi\)
\(164\) 440.803 2688.78i 0.209884 1.28023i
\(165\) −124.642 + 94.7506i −0.0588084 + 0.0447050i
\(166\) −87.0209 + 40.2602i −0.0406875 + 0.0188241i
\(167\) 199.023 + 188.525i 0.0922207 + 0.0873561i 0.732421 0.680852i \(-0.238390\pi\)
−0.640201 + 0.768208i \(0.721149\pi\)
\(168\) 37.7245 + 230.109i 0.0173244 + 0.105674i
\(169\) 523.396 + 176.353i 0.238232 + 0.0802698i
\(170\) −97.5640 + 244.867i −0.0440166 + 0.110473i
\(171\) 257.938 244.332i 0.115351 0.109266i
\(172\) 1526.82 + 1160.66i 0.676854 + 0.514531i
\(173\) −513.361 112.999i −0.225608 0.0496600i 0.100728 0.994914i \(-0.467883\pi\)
−0.326335 + 0.945254i \(0.605814\pi\)
\(174\) −80.7298 + 95.0424i −0.0351730 + 0.0414089i
\(175\) 343.956 + 37.4075i 0.148575 + 0.0161585i
\(176\) 319.575 0.136869
\(177\) 1342.52 214.609i 0.570112 0.0911358i
\(178\) −595.368 −0.250701
\(179\) −272.668 29.6545i −0.113856 0.0123826i 0.0510137 0.998698i \(-0.483755\pi\)
−0.164869 + 0.986315i \(0.552720\pi\)
\(180\) 430.073 506.322i 0.178088 0.209661i
\(181\) −1776.51 391.040i −0.729542 0.160584i −0.165358 0.986234i \(-0.552878\pi\)
−0.564184 + 0.825649i \(0.690809\pi\)
\(182\) 159.246 + 121.055i 0.0648575 + 0.0493034i
\(183\) −1399.22 + 1325.41i −0.565209 + 0.535394i
\(184\) −311.415 + 781.593i −0.124771 + 0.313151i
\(185\) 1674.97 + 564.365i 0.665657 + 0.224286i
\(186\) −35.3261 215.480i −0.0139260 0.0849448i
\(187\) 224.444 + 212.605i 0.0877699 + 0.0831401i
\(188\) −595.814 + 275.653i −0.231140 + 0.106937i
\(189\) 215.671 163.949i 0.0830040 0.0630980i
\(190\) −29.8698 + 182.198i −0.0114052 + 0.0695686i
\(191\) −279.863 + 527.877i −0.106022 + 0.199978i −0.930847 0.365410i \(-0.880929\pi\)
0.824825 + 0.565388i \(0.191274\pi\)
\(192\) −1235.02 + 271.847i −0.464216 + 0.102182i
\(193\) −1799.78 832.668i −0.671249 0.310553i 0.0544985 0.998514i \(-0.482644\pi\)
−0.725748 + 0.687961i \(0.758506\pi\)
\(194\) 34.1243 + 85.6455i 0.0126288 + 0.0316958i
\(195\) −62.6672 1155.83i −0.0230138 0.424465i
\(196\) −1055.05 1556.08i −0.384493 0.567084i
\(197\) 592.817 + 697.919i 0.214398 + 0.252409i 0.858840 0.512244i \(-0.171186\pi\)
−0.644441 + 0.764654i \(0.722910\pi\)
\(198\) 11.3678 + 21.4419i 0.00408017 + 0.00769602i
\(199\) 2004.47 675.383i 0.714035 0.240586i 0.0612419 0.998123i \(-0.480494\pi\)
0.652793 + 0.757537i \(0.273597\pi\)
\(200\) 14.4614 266.724i 0.00511286 0.0943012i
\(201\) −1203.93 + 724.379i −0.422480 + 0.254198i
\(202\) −26.6551 96.0030i −0.00928439 0.0334394i
\(203\) −226.979 + 817.506i −0.0784770 + 0.282649i
\(204\) −1123.98 676.279i −0.385758 0.232103i
\(205\) 1875.08 2765.54i 0.638837 0.942213i
\(206\) −166.708 + 18.1306i −0.0563839 + 0.00613212i
\(207\) 971.757 105.685i 0.326289 0.0354861i
\(208\) −1325.90 + 1955.56i −0.441993 + 0.651892i
\(209\) 185.549 + 111.641i 0.0614101 + 0.0369493i
\(210\) −37.6634 + 135.651i −0.0123763 + 0.0445754i
\(211\) 838.381 + 3019.58i 0.273538 + 0.985195i 0.964885 + 0.262672i \(0.0846038\pi\)
−0.691347 + 0.722523i \(0.742982\pi\)
\(212\) 1461.82 879.548i 0.473576 0.284941i
\(213\) −8.03688 + 148.232i −0.00258534 + 0.0476839i
\(214\) 428.700 144.446i 0.136941 0.0461407i
\(215\) 1101.66 + 2077.95i 0.349453 + 0.659139i
\(216\) −135.405 159.411i −0.0426534 0.0502155i
\(217\) −833.719 1229.64i −0.260813 0.384671i
\(218\) 6.42178 + 118.443i 0.00199513 + 0.0367979i
\(219\) 18.3373 + 46.0232i 0.00565809 + 0.0142007i
\(220\) 367.479 + 170.014i 0.112615 + 0.0521015i
\(221\) −2232.18 + 491.341i −0.679425 + 0.149553i
\(222\) 128.332 242.059i 0.0387976 0.0731800i
\(223\) −741.407 + 4522.38i −0.222638 + 1.35803i 0.604756 + 0.796411i \(0.293270\pi\)
−0.827394 + 0.561621i \(0.810178\pi\)
\(224\) 723.786 550.208i 0.215893 0.164117i
\(225\) −281.655 + 130.308i −0.0834534 + 0.0386096i
\(226\) −412.169 390.427i −0.121314 0.114915i
\(227\) −808.000 4928.58i −0.236250 1.44106i −0.792410 0.609989i \(-0.791174\pi\)
0.556160 0.831075i \(-0.312274\pi\)
\(228\) −870.720 293.380i −0.252916 0.0852173i
\(229\) 1942.43 4875.14i 0.560523 1.40681i −0.326552 0.945179i \(-0.605887\pi\)
0.887074 0.461626i \(-0.152734\pi\)
\(230\) −368.780 + 349.326i −0.105724 + 0.100147i
\(231\) 131.450 + 99.9260i 0.0374407 + 0.0284617i
\(232\) 639.713 + 140.812i 0.181031 + 0.0398480i
\(233\) 2470.78 2908.82i 0.694704 0.817868i −0.295815 0.955245i \(-0.595591\pi\)
0.990519 + 0.137377i \(0.0438672\pi\)
\(234\) −178.373 19.3992i −0.0498315 0.00541951i
\(235\) −805.057 −0.223473
\(236\) −2116.62 2807.50i −0.583815 0.774376i
\(237\) −3389.83 −0.929084
\(238\) 276.356 + 30.0556i 0.0752669 + 0.00818577i
\(239\) −885.689 + 1042.71i −0.239709 + 0.282207i −0.868841 0.495091i \(-0.835135\pi\)
0.629132 + 0.777299i \(0.283411\pi\)
\(240\) −1623.96 357.461i −0.436776 0.0961416i
\(241\) −854.631 649.674i −0.228430 0.173648i 0.484699 0.874681i \(-0.338929\pi\)
−0.713129 + 0.701033i \(0.752722\pi\)
\(242\) 464.278 439.787i 0.123326 0.116821i
\(243\) −89.9436 + 225.741i −0.0237444 + 0.0595939i
\(244\) 4723.34 + 1591.48i 1.23927 + 0.417557i
\(245\) −372.986 2275.12i −0.0972621 0.593273i
\(246\) −376.008 356.174i −0.0974529 0.0923123i
\(247\) −1452.99 + 672.226i −0.374299 + 0.173169i
\(248\) −913.101 + 694.121i −0.233798 + 0.177729i
\(249\) 94.6664 577.439i 0.0240933 0.146963i
\(250\) 349.382 659.004i 0.0883874 0.166716i
\(251\) −3416.19 + 751.959i −0.859074 + 0.189097i −0.622599 0.782541i \(-0.713923\pi\)
−0.236475 + 0.971638i \(0.575992\pi\)
\(252\) −635.856 294.178i −0.158949 0.0735377i
\(253\) 220.519 + 553.460i 0.0547980 + 0.137532i
\(254\) −32.2437 594.699i −0.00796515 0.146909i
\(255\) −902.730 1331.43i −0.221691 0.326970i
\(256\) 1886.49 + 2220.95i 0.460568 + 0.542223i
\(257\) 837.232 + 1579.19i 0.203211 + 0.383296i 0.964081 0.265608i \(-0.0855727\pi\)
−0.760871 + 0.648904i \(0.775228\pi\)
\(258\) 345.479 116.406i 0.0833667 0.0280895i
\(259\) 100.917 1861.31i 0.0242112 0.446548i
\(260\) −2565.00 + 1543.31i −0.611825 + 0.368123i
\(261\) −203.594 733.279i −0.0482841 0.173903i
\(262\) 90.3194 325.301i 0.0212975 0.0767067i
\(263\) 250.822 + 150.914i 0.0588073 + 0.0353832i 0.544654 0.838661i \(-0.316661\pi\)
−0.485847 + 0.874044i \(0.661489\pi\)
\(264\) 71.5400 105.514i 0.0166780 0.0245981i
\(265\) 2079.84 226.196i 0.482127 0.0524345i
\(266\) 193.574 21.0524i 0.0446194 0.00485265i
\(267\) 2039.00 3007.31i 0.467360 0.689304i
\(268\) 3113.49 + 1873.33i 0.709653 + 0.426984i
\(269\) 1791.35 6451.86i 0.406024 1.46237i −0.424522 0.905418i \(-0.639558\pi\)
0.830546 0.556950i \(-0.188028\pi\)
\(270\) −33.7830 121.675i −0.00761469 0.0274256i
\(271\) 1359.77 818.144i 0.304797 0.183390i −0.354936 0.934891i \(-0.615497\pi\)
0.659732 + 0.751501i \(0.270670\pi\)
\(272\) −177.759 + 3278.57i −0.0396259 + 0.730856i
\(273\) −1156.85 + 389.788i −0.256468 + 0.0864142i
\(274\) 414.170 + 781.207i 0.0913172 + 0.172242i
\(275\) −122.453 144.162i −0.0268516 0.0316121i
\(276\) −1418.62 2092.31i −0.309388 0.456313i
\(277\) 108.894 + 2008.44i 0.0236203 + 0.435651i 0.986295 + 0.164990i \(0.0527593\pi\)
−0.962675 + 0.270660i \(0.912758\pi\)
\(278\) −406.063 1019.14i −0.0876044 0.219871i
\(279\) 1209.41 + 559.532i 0.259517 + 0.120066i
\(280\) 722.213 158.971i 0.154144 0.0339298i
\(281\) 3194.93 6026.29i 0.678270 1.27935i −0.270298 0.962777i \(-0.587122\pi\)
0.948567 0.316576i \(-0.102533\pi\)
\(282\) −20.1886 + 123.145i −0.00426318 + 0.0260042i
\(283\) 3215.24 2444.17i 0.675358 0.513394i −0.210356 0.977625i \(-0.567462\pi\)
0.885714 + 0.464231i \(0.153669\pi\)
\(284\) 348.425 161.198i 0.0728000 0.0336809i
\(285\) −818.015 774.865i −0.170018 0.161049i
\(286\) −17.6922 107.918i −0.00365791 0.0223122i
\(287\) −3339.33 1125.15i −0.686810 0.231413i
\(288\) −301.848 + 757.582i −0.0617589 + 0.155003i
\(289\) 1260.83 1194.32i 0.256631 0.243094i
\(290\) 314.833 + 239.330i 0.0637504 + 0.0484618i
\(291\) −549.478 120.949i −0.110691 0.0243648i
\(292\) 82.9438 97.6489i 0.0166230 0.0195701i
\(293\) −8524.95 927.144i −1.69977 0.184861i −0.793794 0.608187i \(-0.791897\pi\)
−0.905977 + 0.423326i \(0.860863\pi\)
\(294\) −357.366 −0.0708912
\(295\) −910.109 4214.52i −0.179622 0.831793i
\(296\) −1439.12 −0.282593
\(297\) −147.239 16.0132i −0.0287666 0.00312855i
\(298\) 667.573 785.927i 0.129770 0.152777i
\(299\) −4301.67 946.869i −0.832013 0.183140i
\(300\) 638.920 + 485.694i 0.122960 + 0.0934719i
\(301\) 1800.75 1705.76i 0.344829 0.326639i
\(302\) 260.512 653.835i 0.0496383 0.124583i
\(303\) 576.215 + 194.149i 0.109250 + 0.0368106i
\(304\) 372.074 + 2269.55i 0.0701971 + 0.428183i
\(305\) 4437.43 + 4203.36i 0.833071 + 0.789127i
\(306\) −226.299 + 104.697i −0.0422767 + 0.0195593i
\(307\) −3346.52 + 2543.96i −0.622137 + 0.472936i −0.868131 0.496335i \(-0.834679\pi\)
0.245994 + 0.969271i \(0.420886\pi\)
\(308\) 69.0838 421.393i 0.0127806 0.0779580i
\(309\) 479.356 904.162i 0.0882512 0.166459i
\(310\) −676.297 + 148.864i −0.123907 + 0.0272739i
\(311\) −2517.24 1164.60i −0.458969 0.212342i 0.176760 0.984254i \(-0.443438\pi\)
−0.635729 + 0.771912i \(0.719300\pi\)
\(312\) 348.847 + 875.539i 0.0632999 + 0.158871i
\(313\) −412.156 7601.77i −0.0744295 1.37277i −0.762434 0.647066i \(-0.775996\pi\)
0.688005 0.725706i \(-0.258487\pi\)
\(314\) −103.557 152.735i −0.0186116 0.0274501i
\(315\) −556.209 654.820i −0.0994883 0.117127i
\(316\) 4106.29 + 7745.29i 0.731003 + 1.37882i
\(317\) 4853.61 1635.37i 0.859956 0.289753i 0.145436 0.989368i \(-0.453542\pi\)
0.714520 + 0.699615i \(0.246645\pi\)
\(318\) 17.5567 323.815i 0.00309601 0.0571026i
\(319\) 397.442 239.133i 0.0697569 0.0419713i
\(320\) 1072.91 + 3864.26i 0.187429 + 0.675059i
\(321\) −738.582 + 2660.13i −0.128422 + 0.462536i
\(322\) 459.027 + 276.187i 0.0794428 + 0.0477991i
\(323\) −1248.56 + 1841.48i −0.215082 + 0.317222i
\(324\) 624.742 67.9448i 0.107123 0.0116503i
\(325\) 1390.21 151.195i 0.237277 0.0258055i
\(326\) −330.493 + 487.441i −0.0561482 + 0.0828124i
\(327\) −620.267 373.202i −0.104896 0.0631136i
\(328\) −727.818 + 2621.36i −0.122521 + 0.441282i
\(329\) 227.140 + 818.084i 0.0380627 + 0.137089i
\(330\) 65.9487 39.6800i 0.0110011 0.00661913i
\(331\) −431.079 + 7950.79i −0.0715838 + 1.32029i 0.713394 + 0.700763i \(0.247157\pi\)
−0.784978 + 0.619523i \(0.787326\pi\)
\(332\) −1434.05 + 483.186i −0.237059 + 0.0798743i
\(333\) 783.174 + 1477.22i 0.128882 + 0.243097i
\(334\) −87.2427 102.710i −0.0142925 0.0168265i
\(335\) 2500.61 + 3688.12i 0.407829 + 0.601503i
\(336\) 94.9415 + 1751.09i 0.0154151 + 0.284315i
\(337\) −304.437 764.080i −0.0492100 0.123508i 0.902317 0.431073i \(-0.141865\pi\)
−0.951527 + 0.307566i \(0.900486\pi\)
\(338\) −246.411 114.002i −0.0396539 0.0183458i
\(339\) 3383.70 744.808i 0.542116 0.119329i
\(340\) −1948.60 + 3675.45i −0.310817 + 0.586263i
\(341\) −131.398 + 801.495i −0.0208669 + 0.127283i
\(342\) −139.041 + 105.696i −0.0219838 + 0.0167116i
\(343\) −5330.19 + 2466.01i −0.839077 + 0.388198i
\(344\) −1390.26 1316.92i −0.217901 0.206406i
\(345\) −501.519 3059.13i −0.0782635 0.477386i
\(346\) 244.874 + 82.5078i 0.0380478 + 0.0128198i
\(347\) −1012.15 + 2540.31i −0.156586 + 0.393000i −0.986250 0.165263i \(-0.947153\pi\)
0.829664 + 0.558263i \(0.188532\pi\)
\(348\) −1428.82 + 1353.45i −0.220094 + 0.208484i
\(349\) 210.783 + 160.233i 0.0323295 + 0.0245762i 0.621214 0.783641i \(-0.286640\pi\)
−0.588885 + 0.808217i \(0.700433\pi\)
\(350\) −166.104 36.5622i −0.0253675 0.00558380i
\(351\) 708.875 834.552i 0.107798 0.126909i
\(352\) −494.130 53.7399i −0.0748216 0.00813734i
\(353\) 9707.06 1.46361 0.731805 0.681514i \(-0.238678\pi\)
0.731805 + 0.681514i \(0.238678\pi\)
\(354\) −667.496 + 33.5258i −0.100218 + 0.00503355i
\(355\) 470.787 0.0703853
\(356\) −9341.25 1015.92i −1.39069 0.151247i
\(357\) −1098.27 + 1292.99i −0.162820 + 0.191687i
\(358\) 131.677 + 28.9843i 0.0194395 + 0.00427897i
\(359\) 8914.10 + 6776.32i 1.31050 + 0.996213i 0.998942 + 0.0459847i \(0.0146426\pi\)
0.311554 + 0.950228i \(0.399151\pi\)
\(360\) −481.561 + 456.159i −0.0705014 + 0.0667824i
\(361\) 1961.96 4924.14i 0.286041 0.717909i
\(362\) 847.400 + 285.522i 0.123034 + 0.0414550i
\(363\) 631.391 + 3851.32i 0.0912933 + 0.556864i
\(364\) 2291.97 + 2171.07i 0.330033 + 0.312624i
\(365\) 142.594 65.9710i 0.0204485 0.00946049i
\(366\) 754.245 573.362i 0.107719 0.0818855i
\(367\) −1652.04 + 10077.0i −0.234974 + 1.43328i 0.560933 + 0.827861i \(0.310442\pi\)
−0.795907 + 0.605418i \(0.793006\pi\)
\(368\) −2963.84 + 5590.39i −0.419839 + 0.791900i
\(369\) 3086.84 679.464i 0.435486 0.0958577i
\(370\) −788.566 364.830i −0.110799 0.0512610i
\(371\) −816.666 2049.68i −0.114284 0.286830i
\(372\) −186.572 3441.13i −0.0260036 0.479608i
\(373\) −7265.50 10715.8i −1.00856 1.48752i −0.867452 0.497522i \(-0.834244\pi\)
−0.141109 0.989994i \(-0.545067\pi\)
\(374\) −98.3862 115.829i −0.0136028 0.0160144i
\(375\) 2132.19 + 4021.73i 0.293615 + 0.553817i
\(376\) 621.178 209.299i 0.0851989 0.0287069i
\(377\) −185.654 + 3424.18i −0.0253625 + 0.467784i
\(378\) −114.113 + 68.6592i −0.0155273 + 0.00934246i
\(379\) −640.964 2308.54i −0.0868710 0.312881i 0.907330 0.420419i \(-0.138117\pi\)
−0.994201 + 0.107538i \(0.965703\pi\)
\(380\) −779.552 + 2807.69i −0.105237 + 0.379030i
\(381\) 3114.35 + 1873.84i 0.418775 + 0.251968i
\(382\) 164.826 243.100i 0.0220765 0.0325604i
\(383\) −2878.42 + 313.047i −0.384022 + 0.0417649i −0.298094 0.954537i \(-0.596351\pi\)
−0.0859276 + 0.996301i \(0.527385\pi\)
\(384\) 2779.92 302.335i 0.369433 0.0401783i
\(385\) 293.868 433.423i 0.0389010 0.0573747i
\(386\) 835.299 + 502.583i 0.110144 + 0.0662715i
\(387\) −595.206 + 2143.74i −0.0781809 + 0.281582i
\(388\) 389.262 + 1401.99i 0.0509324 + 0.183442i
\(389\) 7205.12 4335.18i 0.939111 0.565044i 0.0383047 0.999266i \(-0.487804\pi\)
0.900806 + 0.434222i \(0.142977\pi\)
\(390\) −30.8061 + 568.186i −0.00399982 + 0.0737723i
\(391\) −5800.69 + 1954.48i −0.750265 + 0.252794i
\(392\) 879.280 + 1658.50i 0.113292 + 0.213691i
\(393\) 1333.83 + 1570.30i 0.171203 + 0.201555i
\(394\) −252.617 372.582i −0.0323011 0.0476406i
\(395\) 582.014 + 10734.6i 0.0741374 + 1.36738i
\(396\) 141.771 + 355.819i 0.0179906 + 0.0451530i
\(397\) −7171.55 3317.91i −0.906624 0.419449i −0.0895501 0.995982i \(-0.528543\pi\)
−0.817073 + 0.576534i \(0.804405\pi\)
\(398\) −1015.48 + 223.524i −0.127893 + 0.0281514i
\(399\) −556.607 + 1049.87i −0.0698376 + 0.131728i
\(400\) 325.000 1982.41i 0.0406250 0.247802i
\(401\) 8466.82 6436.31i 1.05440 0.801531i 0.0737414 0.997277i \(-0.476506\pi\)
0.980655 + 0.195746i \(0.0627129\pi\)
\(402\) 626.861 290.017i 0.0777736 0.0359819i
\(403\) −4359.37 4129.42i −0.538848 0.510424i
\(404\) −254.398 1551.76i −0.0313286 0.191096i
\(405\) 730.301 + 246.067i 0.0896023 + 0.0301905i
\(406\) 154.375 387.452i 0.0188707 0.0473619i
\(407\) −739.840 + 700.814i −0.0901044 + 0.0853514i
\(408\) 1042.69 + 792.630i 0.126521 + 0.0961790i
\(409\) −10711.9 2357.87i −1.29504 0.285059i −0.486591 0.873630i \(-0.661760\pi\)
−0.808446 + 0.588571i \(0.799691\pi\)
\(410\) −1063.34 + 1251.86i −0.128085 + 0.150793i
\(411\) −5364.44 583.419i −0.643816 0.0700193i
\(412\) −2646.56 −0.316472
\(413\) −4025.94 + 2113.93i −0.479669 + 0.251863i
\(414\) −480.516 −0.0570437
\(415\) −1844.84 200.638i −0.218216 0.0237324i
\(416\) 2378.96 2800.73i 0.280381 0.330089i
\(417\) 6538.53 + 1439.24i 0.767849 + 0.169016i
\(418\) −84.7445 64.4211i −0.00991624 0.00753813i
\(419\) 9221.85 8735.40i 1.07522 1.01850i 0.0754472 0.997150i \(-0.475962\pi\)
0.999772 0.0213519i \(-0.00679704\pi\)
\(420\) −822.406 + 2064.08i −0.0955459 + 0.239802i
\(421\) 10638.7 + 3584.61i 1.23159 + 0.414972i 0.858496 0.512820i \(-0.171399\pi\)
0.373097 + 0.927792i \(0.378296\pi\)
\(422\) −249.229 1520.23i −0.0287495 0.175364i
\(423\) −552.886 523.721i −0.0635514 0.0601991i
\(424\) −1545.99 + 715.251i −0.177075 + 0.0819237i
\(425\) 1547.10 1176.07i 0.176577 0.134230i
\(426\) 11.8061 72.0138i 0.00134274 0.00819033i
\(427\) 3019.39 5695.18i 0.342198 0.645454i
\(428\) 6972.72 1534.81i 0.787475 0.173336i
\(429\) 605.702 + 280.227i 0.0681668 + 0.0315373i
\(430\) −427.940 1074.05i −0.0479932 0.120454i
\(431\) 52.0639 + 960.263i 0.00581863 + 0.107318i 1.00000 0.000401482i \(-0.000127796\pi\)
−0.994181 + 0.107720i \(0.965645\pi\)
\(432\) −882.739 1301.94i −0.0983120 0.144999i
\(433\) 1671.95 + 1968.37i 0.185563 + 0.218462i 0.847076 0.531472i \(-0.178361\pi\)
−0.661513 + 0.749934i \(0.730085\pi\)
\(434\) 342.084 + 645.240i 0.0378354 + 0.0713652i
\(435\) −2287.13 + 770.623i −0.252091 + 0.0849392i
\(436\) −101.351 + 1869.31i −0.0111326 + 0.205329i
\(437\) −3673.80 + 2210.45i −0.402155 + 0.241969i
\(438\) −6.51536 23.4662i −0.000710768 0.00255995i
\(439\) −1151.45 + 4147.16i −0.125184 + 0.450872i −0.999399 0.0346670i \(-0.988963\pi\)
0.874215 + 0.485539i \(0.161377\pi\)
\(440\) −346.414 208.431i −0.0375333 0.0225830i
\(441\) 1223.90 1805.12i 0.132156 0.194916i
\(442\) 1116.98 121.479i 0.120203 0.0130728i
\(443\) −669.637 + 72.8274i −0.0718181 + 0.00781069i −0.143957 0.989584i \(-0.545983\pi\)
0.0721394 + 0.997395i \(0.477017\pi\)
\(444\) 2426.55 3578.89i 0.259367 0.382538i
\(445\) −9873.36 5940.60i −1.05178 0.632835i
\(446\) 602.688 2170.69i 0.0639868 0.230460i
\(447\) 1683.56 + 6063.65i 0.178143 + 0.641612i
\(448\) 3624.08 2180.54i 0.382191 0.229957i
\(449\) −598.252 + 11034.1i −0.0628803 + 1.15976i 0.781462 + 0.623953i \(0.214475\pi\)
−0.844342 + 0.535805i \(0.820008\pi\)
\(450\) 144.571 48.7116i 0.0151448 0.00510286i
\(451\) 902.366 + 1702.04i 0.0942145 + 0.177707i
\(452\) −5800.65 6829.06i −0.603628 0.710646i
\(453\) 2410.43 + 3555.13i 0.250005 + 0.368729i
\(454\) 132.919 + 2451.55i 0.0137405 + 0.253429i
\(455\) 1432.97 + 3596.49i 0.147646 + 0.370563i
\(456\) 832.626 + 385.214i 0.0855072 + 0.0395598i
\(457\) −5003.54 + 1101.36i −0.512157 + 0.112734i −0.463527 0.886083i \(-0.653416\pi\)
−0.0486296 + 0.998817i \(0.515485\pi\)
\(458\) −1208.38 + 2279.25i −0.123284 + 0.232538i
\(459\) 246.182 1501.64i 0.0250344 0.152703i
\(460\) −6382.18 + 4851.61i −0.646893 + 0.491755i
\(461\) 19.4451 8.99626i 0.00196453 0.000908889i −0.418907 0.908029i \(-0.637587\pi\)
0.420871 + 0.907120i \(0.361724\pi\)
\(462\) −58.9290 55.8205i −0.00593425 0.00562122i
\(463\) −972.300 5930.77i −0.0975953 0.595305i −0.989664 0.143405i \(-0.954195\pi\)
0.892069 0.451900i \(-0.149254\pi\)
\(464\) 4668.34 + 1572.95i 0.467074 + 0.157376i
\(465\) 1564.23 3925.92i 0.155999 0.391527i
\(466\) −1362.07 + 1290.22i −0.135401 + 0.128259i
\(467\) 1404.06 + 1067.34i 0.139126 + 0.105761i 0.672423 0.740167i \(-0.265254\pi\)
−0.533296 + 0.845929i \(0.679047\pi\)
\(468\) −2765.54 608.741i −0.273156 0.0601262i
\(469\) 3042.27 3581.64i 0.299529 0.352633i
\(470\) 393.432 + 42.7883i 0.0386121 + 0.00419932i
\(471\) 1126.15 0.110170
\(472\) 1797.93 + 3015.29i 0.175331 + 0.294047i
\(473\) −1356.02 −0.131818
\(474\) 1656.61 + 180.167i 0.160529 + 0.0174586i
\(475\) 881.240 1037.48i 0.0851244 0.100216i
\(476\) 4284.71 + 943.135i 0.412582 + 0.0908162i
\(477\) 1575.52 + 1197.68i 0.151232 + 0.114964i
\(478\) 488.257 462.502i 0.0467204 0.0442559i
\(479\) 1669.58 4190.32i 0.159259 0.399709i −0.827595 0.561326i \(-0.810291\pi\)
0.986854 + 0.161617i \(0.0516708\pi\)
\(480\) 2450.87 + 825.794i 0.233055 + 0.0785254i
\(481\) −1218.89 7434.89i −0.115544 0.704785i
\(482\) 383.129 + 362.919i 0.0362055 + 0.0342957i
\(483\) −2967.13 + 1372.74i −0.279522 + 0.129321i
\(484\) 8034.89 6107.97i 0.754592 0.573626i
\(485\) −288.669 + 1760.81i −0.0270264 + 0.164854i
\(486\) 55.9535 105.540i 0.00522244 0.00985056i
\(487\) 1574.96 346.675i 0.146547 0.0322573i −0.141091 0.989997i \(-0.545061\pi\)
0.287638 + 0.957739i \(0.407130\pi\)
\(488\) −4516.69 2089.64i −0.418978 0.193840i
\(489\) −1330.28 3338.75i −0.123021 0.308760i
\(490\) 61.3577 + 1131.68i 0.00565685 + 0.104334i
\(491\) −2037.66 3005.33i −0.187288 0.276229i 0.722440 0.691433i \(-0.243020\pi\)
−0.909728 + 0.415204i \(0.863710\pi\)
\(492\) −5291.75 6229.93i −0.484899 0.570868i
\(493\) 2232.23 + 4210.43i 0.203924 + 0.384641i
\(494\) 745.808 251.292i 0.0679261 0.0228870i
\(495\) −25.4292 + 469.013i −0.00230900 + 0.0425870i
\(496\) −7391.23 + 4447.16i −0.669105 + 0.402587i
\(497\) −132.828 478.405i −0.0119883 0.0431778i
\(498\) −76.9541 + 277.164i −0.00692449 + 0.0249398i
\(499\) −8230.94 4952.39i −0.738412 0.444288i 0.0960337 0.995378i \(-0.469384\pi\)
−0.834446 + 0.551090i \(0.814212\pi\)
\(500\) 6606.26 9743.51i 0.590882 0.871486i
\(501\) 817.593 88.9186i 0.0729089 0.00792932i
\(502\) 1709.46 185.915i 0.151986 0.0165295i
\(503\) −7473.71 + 11022.9i −0.662497 + 0.977110i 0.336870 + 0.941551i \(0.390632\pi\)
−0.999368 + 0.0355592i \(0.988679\pi\)
\(504\) 599.408 + 360.652i 0.0529757 + 0.0318744i
\(505\) 515.883 1858.04i 0.0454584 0.163726i
\(506\) −78.3516 282.197i −0.00688370 0.0247928i
\(507\) 1419.75 854.234i 0.124365 0.0748281i
\(508\) 508.882 9385.77i 0.0444448 0.819737i
\(509\) 14755.6 4971.74i 1.28493 0.432944i 0.407747 0.913095i \(-0.366315\pi\)
0.877186 + 0.480151i \(0.159418\pi\)
\(510\) 370.401 + 698.650i 0.0321600 + 0.0606603i
\(511\) −107.270 126.288i −0.00928640 0.0109328i
\(512\) −4988.57 7357.59i −0.430597 0.635083i
\(513\) −57.7048 1064.30i −0.00496633 0.0915986i
\(514\) −325.223 816.249i −0.0279085 0.0700451i
\(515\) −2945.52 1362.74i −0.252030 0.116601i
\(516\) 5619.16 1236.87i 0.479398 0.105524i
\(517\) 217.418 410.095i 0.0184953 0.0348858i
\(518\) −148.246 + 904.259i −0.0125744 + 0.0767005i
\(519\) −1255.40 + 954.330i −0.106177 + 0.0807138i
\(520\) 2712.69 1255.02i 0.228768 0.105839i
\(521\) −8777.26 8314.27i −0.738078 0.699145i 0.223185 0.974776i \(-0.428355\pi\)
−0.961264 + 0.275631i \(0.911113\pi\)
\(522\) 60.5232 + 369.175i 0.00507476 + 0.0309547i
\(523\) −11190.6 3770.54i −0.935621 0.315247i −0.190127 0.981760i \(-0.560890\pi\)
−0.745494 + 0.666512i \(0.767786\pi\)
\(524\) 1972.18 4949.81i 0.164418 0.412659i
\(525\) 753.550 713.800i 0.0626431 0.0593387i
\(526\) −114.556 87.0831i −0.00949595 0.00721863i
\(527\) −8149.58 1793.86i −0.673626 0.148276i
\(528\) 620.666 730.705i 0.0511573 0.0602270i
\(529\) 368.754 + 40.1044i 0.0303077 + 0.00329616i
\(530\) −1028.44 −0.0842882
\(531\) 2116.68 3486.45i 0.172987 0.284933i
\(532\) 3073.07 0.250441
\(533\) −14159.1 1539.89i −1.15065 0.125141i
\(534\) −1156.30 + 1361.30i −0.0937041 + 0.110317i
\(535\) 8550.68 + 1882.15i 0.690987 + 0.152098i
\(536\) −2888.30 2195.63i −0.232753 0.176934i
\(537\) −597.370 + 565.859i −0.0480045 + 0.0454723i
\(538\) −1218.35 + 3057.82i −0.0976333 + 0.245041i
\(539\) 1259.67 + 424.433i 0.100664 + 0.0339176i
\(540\) −322.426 1966.71i −0.0256945 0.156729i
\(541\) −4824.79 4570.28i −0.383427 0.363201i 0.471575 0.881826i \(-0.343686\pi\)
−0.855002 + 0.518625i \(0.826444\pi\)
\(542\) −708.003 + 327.557i −0.0561095 + 0.0259590i
\(543\) −4344.38 + 3302.51i −0.343343 + 0.261002i
\(544\) 826.178 5039.47i 0.0651142 0.397179i
\(545\) −1075.33 + 2028.29i −0.0845175 + 0.159417i
\(546\) 586.071 129.004i 0.0459369 0.0101115i
\(547\) −17800.3 8235.30i −1.39138 0.643722i −0.426039 0.904705i \(-0.640091\pi\)
−0.965343 + 0.260983i \(0.915953\pi\)
\(548\) 5165.23 + 12963.8i 0.402642 + 1.01056i
\(549\) 313.028 + 5773.45i 0.0243346 + 0.448825i
\(550\) 52.1806 + 76.9607i 0.00404543 + 0.00596657i
\(551\) 2161.00 + 2544.12i 0.167081 + 0.196703i
\(552\) 1182.28 + 2230.02i 0.0911619 + 0.171950i
\(553\) 10744.1 3620.11i 0.826194 0.278377i
\(554\) 53.5305 987.313i 0.00410523 0.0757164i
\(555\) 4543.48 2733.72i 0.347495 0.209081i
\(556\) −4632.03 16683.1i −0.353313 1.27252i
\(557\) −1194.01 + 4300.42i −0.0908289 + 0.327136i −0.994980 0.100077i \(-0.968091\pi\)
0.904151 + 0.427214i \(0.140505\pi\)
\(558\) −561.300 337.723i −0.0425837 0.0256218i
\(559\) 5626.06 8297.82i 0.425684 0.627836i
\(560\) 5528.91 601.305i 0.417213 0.0453746i
\(561\) 922.024 100.276i 0.0693902 0.00754663i
\(562\) −1881.66 + 2775.24i −0.141233 + 0.208304i
\(563\) −8838.18 5317.76i −0.661607 0.398076i 0.144780 0.989464i \(-0.453753\pi\)
−0.806387 + 0.591388i \(0.798580\pi\)
\(564\) −526.889 + 1897.68i −0.0393369 + 0.141679i
\(565\) −2939.55 10587.3i −0.218881 0.788340i
\(566\) −1701.20 + 1023.58i −0.126337 + 0.0760145i
\(567\) 44.0006 811.544i 0.00325900 0.0601087i
\(568\) −363.257 + 122.395i −0.0268344 + 0.00904155i
\(569\) −3628.73 6844.50i −0.267353 0.504282i 0.713093 0.701070i \(-0.247294\pi\)
−0.980446 + 0.196788i \(0.936949\pi\)
\(570\) 358.581 + 422.154i 0.0263497 + 0.0310212i
\(571\) 3171.28 + 4677.29i 0.232424 + 0.342800i 0.925960 0.377623i \(-0.123258\pi\)
−0.693536 + 0.720422i \(0.743948\pi\)
\(572\) −93.4402 1723.40i −0.00683030 0.125977i
\(573\) 663.446 + 1665.12i 0.0483697 + 0.121399i
\(574\) 1572.13 + 727.346i 0.114320 + 0.0528900i
\(575\) 3657.52 805.081i 0.265268 0.0583899i
\(576\) −1777.02 + 3351.82i −0.128546 + 0.242464i
\(577\) 233.933 1426.93i 0.0168782 0.102953i −0.977044 0.213038i \(-0.931664\pi\)
0.993922 + 0.110085i \(0.0351124\pi\)
\(578\) −679.645 + 516.653i −0.0489092 + 0.0371798i
\(579\) −5399.35 + 2498.00i −0.387546 + 0.179298i
\(580\) 4531.30 + 4292.28i 0.324400 + 0.307288i
\(581\) 316.620 + 1931.30i 0.0226086 + 0.137907i
\(582\) 262.102 + 88.3124i 0.0186675 + 0.00628981i
\(583\) −446.470 + 1120.56i −0.0317168 + 0.0796033i
\(584\) −92.8736 + 87.9745i −0.00658071 + 0.00623358i
\(585\) −2764.50 2101.52i −0.195381 0.148525i
\(586\) 4116.88 + 906.193i 0.290216 + 0.0638814i
\(587\) 6243.81 7350.78i 0.439028 0.516864i −0.497496 0.867466i \(-0.665747\pi\)
0.936524 + 0.350602i \(0.114023\pi\)
\(588\) −5607.02 609.800i −0.393248 0.0427683i
\(589\) −5845.02 −0.408896
\(590\) 220.772 + 2108.01i 0.0154051 + 0.147094i
\(591\) 2747.13 0.191204
\(592\) −10759.7 1170.18i −0.746992 0.0812403i
\(593\) −2833.58 + 3335.95i −0.196225 + 0.231013i −0.851471 0.524402i \(-0.824289\pi\)
0.655246 + 0.755415i \(0.272565\pi\)
\(594\) 71.1048 + 15.6513i 0.00491156 + 0.00108112i
\(595\) 4283.09 + 3255.92i 0.295109 + 0.224336i
\(596\) 11815.2 11192.0i 0.812030 0.769196i
\(597\) 2348.74 5894.89i 0.161017 0.404123i
\(598\) 2051.90 + 691.367i 0.140315 + 0.0472778i
\(599\) 3131.37 + 19100.5i 0.213597 + 1.30288i 0.848048 + 0.529919i \(0.177778\pi\)
−0.634451 + 0.772963i \(0.718774\pi\)
\(600\) −581.775 551.086i −0.0395848 0.0374967i
\(601\) −15676.0 + 7252.49i −1.06396 + 0.492239i −0.872172 0.489199i \(-0.837289\pi\)
−0.191784 + 0.981437i \(0.561427\pi\)
\(602\) −970.688 + 737.898i −0.0657181 + 0.0499576i
\(603\) −681.935 + 4159.62i −0.0460540 + 0.280917i
\(604\) 5203.08 9814.05i 0.350514 0.661139i
\(605\) 12087.6 2660.68i 0.812283 0.178797i
\(606\) −271.278 125.507i −0.0181847 0.00841313i
\(607\) 10587.2 + 26571.9i 0.707943 + 1.77680i 0.625525 + 0.780204i \(0.284885\pi\)
0.0824181 + 0.996598i \(0.473736\pi\)
\(608\) −193.656 3571.77i −0.0129174 0.238247i
\(609\) 1428.39 + 2106.71i 0.0950429 + 0.140178i
\(610\) −1945.17 2290.03i −0.129111 0.152001i
\(611\) 1607.41 + 3031.89i 0.106430 + 0.200748i
\(612\) −3729.26 + 1256.53i −0.246318 + 0.0829941i
\(613\) −853.769 + 15746.8i −0.0562535 + 1.03753i 0.825073 + 0.565026i \(0.191134\pi\)
−0.881326 + 0.472508i \(0.843349\pi\)
\(614\) 1770.66 1065.37i 0.116381 0.0700241i
\(615\) −2681.66 9658.47i −0.175829 0.633280i
\(616\) −114.065 + 410.827i −0.00746076 + 0.0268712i
\(617\) 19119.7 + 11503.9i 1.24753 + 0.750617i 0.977235 0.212160i \(-0.0680496\pi\)
0.270300 + 0.962776i \(0.412877\pi\)
\(618\) −282.318 + 416.387i −0.0183762 + 0.0271028i
\(619\) 22833.0 2483.24i 1.48261 0.161244i 0.669265 0.743023i \(-0.266609\pi\)
0.813346 + 0.581780i \(0.197643\pi\)
\(620\) −10865.0 + 1181.64i −0.703790 + 0.0765418i
\(621\) 1645.66 2427.17i 0.106341 0.156842i
\(622\) 1168.28 + 702.930i 0.0753115 + 0.0453134i
\(623\) −3251.05 + 11709.2i −0.209070 + 0.753001i
\(624\) 1896.24 + 6829.65i 0.121651 + 0.438149i
\(625\) 8676.32 5220.37i 0.555284 0.334103i
\(626\) −202.609 + 3736.90i −0.0129359 + 0.238589i
\(627\) 615.633 207.431i 0.0392121 0.0132121i
\(628\) −1364.17 2573.10i −0.0866820 0.163500i
\(629\) −6778.23 7979.95i −0.429675 0.505853i
\(630\) 237.017 + 349.573i 0.0149888 + 0.0221069i
\(631\) 1319.64 + 24339.3i 0.0832551 + 1.53555i 0.680056 + 0.733160i \(0.261955\pi\)
−0.596801 + 0.802389i \(0.703562\pi\)
\(632\) −3239.87 8131.45i −0.203916 0.511791i
\(633\) 8532.49 + 3947.55i 0.535760 + 0.247869i
\(634\) −2458.88 + 541.241i −0.154030 + 0.0339045i
\(635\) 5399.21 10184.0i 0.337419 0.636440i
\(636\) 828.012 5050.65i 0.0516239 0.314892i
\(637\) −7823.51 + 5947.27i −0.486623 + 0.369921i
\(638\) −206.940 + 95.7406i −0.0128414 + 0.00594108i
\(639\) 323.321 + 306.266i 0.0200162 + 0.0189604i
\(640\) −1434.70 8751.31i −0.0886120 0.540509i
\(641\) 26312.5 + 8865.72i 1.62134 + 0.546295i 0.976033 0.217624i \(-0.0698308\pi\)
0.645312 + 0.763919i \(0.276727\pi\)
\(642\) 502.330 1260.75i 0.0308807 0.0775046i
\(643\) −11336.1 + 10738.1i −0.695261 + 0.658586i −0.951366 0.308063i \(-0.900319\pi\)
0.256105 + 0.966649i \(0.417561\pi\)
\(644\) 6730.79 + 5116.61i 0.411848 + 0.313079i
\(645\) 6890.80 + 1516.78i 0.420659 + 0.0925940i
\(646\) 708.044 833.574i 0.0431233 0.0507686i
\(647\) −5537.06 602.191i −0.336451 0.0365913i −0.0616659 0.998097i \(-0.519641\pi\)
−0.274786 + 0.961506i \(0.588607\pi\)
\(648\) −627.469 −0.0380391
\(649\) 2392.66 + 674.591i 0.144715 + 0.0408012i
\(650\) −687.434 −0.0414821
\(651\) −4430.78 481.876i −0.266752 0.0290111i
\(652\) −6017.15 + 7083.93i −0.361426 + 0.425503i
\(653\) −10987.2 2418.48i −0.658444 0.144935i −0.126835 0.991924i \(-0.540482\pi\)
−0.531610 + 0.846989i \(0.678413\pi\)
\(654\) 283.290 + 215.351i 0.0169381 + 0.0128760i
\(655\) 4743.68 4493.46i 0.282979 0.268052i
\(656\) −7573.04 + 19006.9i −0.450728 + 1.13124i
\(657\) 140.845 + 47.4564i 0.00836363 + 0.00281804i
\(658\) −67.5228 411.871i −0.00400047 0.0244018i
\(659\) 15296.5 + 14489.6i 0.904200 + 0.856504i 0.990181 0.139793i \(-0.0446436\pi\)
−0.0859804 + 0.996297i \(0.527402\pi\)
\(660\) 1102.44 510.041i 0.0650186 0.0300808i
\(661\) 7462.31 5672.70i 0.439107 0.333801i −0.362151 0.932120i \(-0.617957\pi\)
0.801258 + 0.598319i \(0.204164\pi\)
\(662\) 633.249 3862.65i 0.0371781 0.226776i
\(663\) −3211.81 + 6058.12i −0.188139 + 0.354868i
\(664\) 1475.63 324.811i 0.0862433 0.0189836i
\(665\) 3420.21 + 1582.36i 0.199444 + 0.0922726i
\(666\) −304.225 763.546i −0.0177004 0.0444246i
\(667\) 497.199 + 9170.30i 0.0288630 + 0.532347i
\(668\) −1193.56 1760.38i −0.0691323 0.101963i
\(669\) 8900.43 + 10478.4i 0.514366 + 0.605558i
\(670\) −1026.03 1935.29i −0.0591626 0.111592i
\(671\) −3339.59 + 1125.24i −0.192136 + 0.0647382i
\(672\) 147.665 2723.52i 0.00847663 0.156342i
\(673\) −17472.2 + 10512.7i −1.00075 + 0.602132i −0.918891 0.394512i \(-0.870914\pi\)
−0.0818601 + 0.996644i \(0.526086\pi\)
\(674\) 108.168 + 389.587i 0.00618174 + 0.0222646i
\(675\) −249.073 + 897.078i −0.0142027 + 0.0511534i
\(676\) −3671.63 2209.15i −0.208900 0.125691i
\(677\) 1061.47 1565.55i 0.0602595 0.0888761i −0.796365 0.604816i \(-0.793247\pi\)
0.856625 + 0.515940i \(0.172557\pi\)
\(678\) −1693.20 + 184.147i −0.0959101 + 0.0104309i
\(679\) 1870.74 203.456i 0.105733 0.0114991i
\(680\) 2331.01 3437.98i 0.131456 0.193883i
\(681\) −12838.4 7724.61i −0.722421 0.434666i
\(682\) 106.814 384.708i 0.00599722 0.0216000i
\(683\) 1185.85 + 4271.03i 0.0664350 + 0.239277i 0.989311 0.145819i \(-0.0465818\pi\)
−0.922876 + 0.385097i \(0.874168\pi\)
\(684\) −2361.88 + 1421.10i −0.132031 + 0.0794402i
\(685\) −926.475 + 17087.8i −0.0516771 + 0.953128i
\(686\) 2735.94 921.845i 0.152272 0.0513064i
\(687\) −7374.43 13909.7i −0.409537 0.772469i
\(688\) −9323.50 10976.5i −0.516650 0.608247i
\(689\) −5004.56 7381.18i −0.276718 0.408128i
\(690\) 82.5018 + 1521.66i 0.00455187 + 0.0839543i
\(691\) 9425.25 + 23655.6i 0.518891 + 1.30232i 0.922009 + 0.387169i \(0.126547\pi\)
−0.403118 + 0.915148i \(0.632074\pi\)
\(692\) 3701.26 + 1712.38i 0.203325 + 0.0940680i
\(693\) 483.777 106.487i 0.0265183 0.00583712i
\(694\) 629.656 1187.66i 0.0344401 0.0649609i
\(695\) 3435.03 20952.8i 0.187479 1.14357i
\(696\) 1564.39 1189.22i 0.0851983 0.0647660i
\(697\) −17963.5 + 8310.78i −0.976204 + 0.451640i
\(698\) −94.4938 89.5093i −0.00512413 0.00485383i
\(699\) −1852.34 11298.8i −0.100232 0.611387i
\(700\) −2543.76 857.091i −0.137350 0.0462786i
\(701\) −10748.3 + 26976.2i −0.579112 + 1.45346i 0.289116 + 0.957294i \(0.406639\pi\)
−0.868227 + 0.496167i \(0.834740\pi\)
\(702\) −390.784 + 370.170i −0.0210102 + 0.0199020i
\(703\) −5838.40 4438.23i −0.313228 0.238110i
\(704\) −2258.21 497.069i −0.120894 0.0266108i
\(705\) −1563.55 + 1840.75i −0.0835271 + 0.0983358i
\(706\) −4743.85 515.925i −0.252886 0.0275030i
\(707\) −2033.66 −0.108181
\(708\) −10530.1 612.984i −0.558964 0.0325386i
\(709\) 17387.5 0.921016 0.460508 0.887656i \(-0.347667\pi\)
0.460508 + 0.887656i \(0.347667\pi\)
\(710\) −230.074 25.0221i −0.0121613 0.00132262i
\(711\) −6583.58 + 7750.79i −0.347262 + 0.408829i
\(712\) 9162.67 + 2016.86i 0.482283 + 0.106159i
\(713\) −12802.1 9731.88i −0.672428 0.511167i
\(714\) 605.449 573.512i 0.0317344 0.0300604i
\(715\) 783.405 1966.20i 0.0409758 0.102841i
\(716\) 2016.54 + 679.451i 0.105254 + 0.0354641i
\(717\) 664.002 + 4050.23i 0.0345852 + 0.210961i
\(718\) −3996.17 3785.37i −0.207710 0.196753i
\(719\) −27046.0 + 12512.8i −1.40285 + 0.649026i −0.967878 0.251420i \(-0.919103\pi\)
−0.434969 + 0.900446i \(0.643241\pi\)
\(720\) −3971.32 + 3018.92i −0.205559 + 0.156262i
\(721\) −553.741 + 3377.67i −0.0286025 + 0.174468i
\(722\) −1220.53 + 2302.16i −0.0629131 + 0.118667i
\(723\) −3145.30 + 692.333i −0.161791 + 0.0356129i
\(724\) 12808.4 + 5925.79i 0.657486 + 0.304185i
\(725\) −1079.22 2708.63i −0.0552843 0.138753i
\(726\) −103.866 1915.70i −0.00530970 0.0979316i
\(727\) 18857.3 + 27812.4i 0.962004 + 1.41885i 0.907365 + 0.420344i \(0.138091\pi\)
0.0546393 + 0.998506i \(0.482599\pi\)
\(728\) −2040.69 2402.49i −0.103892 0.122311i
\(729\) 341.470 + 644.080i 0.0173485 + 0.0327227i
\(730\) −73.1922 + 24.6613i −0.00371091 + 0.00125035i
\(731\) 754.268 13911.7i 0.0381636 0.703887i
\(732\) 12812.4 7708.95i 0.646938 0.389250i
\(733\) −4611.80 16610.2i −0.232389 0.836988i −0.984118 0.177516i \(-0.943194\pi\)
0.751729 0.659472i \(-0.229220\pi\)
\(734\) 1342.94 4836.82i 0.0675323 0.243229i
\(735\) −5926.42 3565.81i −0.297414 0.178948i
\(736\) 5522.79 8145.50i 0.276593 0.407945i
\(737\) −2554.05 + 277.770i −0.127652 + 0.0138830i
\(738\) −1544.65 + 167.991i −0.0770454 + 0.00837919i
\(739\) 13506.6 19920.8i 0.672326 0.991606i −0.326595 0.945164i \(-0.605901\pi\)
0.998921 0.0464421i \(-0.0147883\pi\)
\(740\) −11750.0 7069.71i −0.583699 0.351200i
\(741\) −1284.91 + 4627.82i −0.0637008 + 0.229429i
\(742\) 290.166 + 1045.08i 0.0143563 + 0.0517066i
\(743\) −18269.4 + 10992.3i −0.902070 + 0.542757i −0.889383 0.457162i \(-0.848866\pi\)
−0.0126865 + 0.999920i \(0.504038\pi\)
\(744\) −186.288 + 3435.89i −0.00917965 + 0.169309i
\(745\) 18912.8 6372.46i 0.930081 0.313381i
\(746\) 2981.12 + 5622.98i 0.146309 + 0.275968i
\(747\) −1136.45 1337.93i −0.0556634 0.0655320i
\(748\) −1346.02 1985.23i −0.0657959 0.0970416i
\(749\) −499.898 9220.07i −0.0243870 0.449792i
\(750\) −828.249 2078.75i −0.0403245 0.101207i
\(751\) 14026.0 + 6489.13i 0.681514 + 0.315302i 0.729927 0.683525i \(-0.239554\pi\)
−0.0484125 + 0.998827i \(0.515416\pi\)
\(752\) 4814.44 1059.74i 0.233464 0.0513892i
\(753\) −4915.43 + 9271.48i −0.237886 + 0.448701i
\(754\) 272.723 1663.54i 0.0131724 0.0803480i
\(755\) 10844.2 8243.55i 0.522730 0.397369i
\(756\) −1907.57 + 882.535i −0.0917693 + 0.0424570i
\(757\) 12223.5 + 11578.7i 0.586884 + 0.555926i 0.922463 0.386086i \(-0.126173\pi\)
−0.335579 + 0.942012i \(0.608932\pi\)
\(758\) 190.542 + 1162.25i 0.00913034 + 0.0556926i
\(759\) 1693.76 + 570.694i 0.0810008 + 0.0272923i
\(760\) 1076.90 2702.83i 0.0513993 0.129002i
\(761\) 6381.67 6045.04i 0.303989 0.287953i −0.520465 0.853883i \(-0.674241\pi\)
0.824453 + 0.565930i \(0.191483\pi\)
\(762\) −1422.39 1081.28i −0.0676219 0.0514049i
\(763\) 2364.50 + 520.466i 0.112190 + 0.0246948i
\(764\) 3000.91 3532.94i 0.142106 0.167300i
\(765\) −4797.54 521.764i −0.226739 0.0246593i
\(766\) 1423.32 0.0671368
\(767\) −14055.0 + 11842.4i −0.661664 + 0.557503i
\(768\) 8742.02 0.410743
\(769\) 36540.0 + 3973.96i 1.71348 + 0.186352i 0.911584 0.411114i \(-0.134860\pi\)
0.801894 + 0.597466i \(0.203826\pi\)
\(770\) −166.650 + 196.195i −0.00779953 + 0.00918232i